nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 | search_path stringlengths 505 16.8k | rating float64 0 0.99 | search_type stringclasses 5 values | heuristic stringclasses 2 values |
|---|---|---|---|---|---|---|---|---|
[
62,
73,
85,
55
] | 90 | [
"73-62=11",
"55/11=5",
"85+5=90"
] | Current State: 90:[62, 73, 85, 55], Operations: []
Exploring Operation: 73-62=11, Resulting Numbers: [85, 55, 11]
Generated Node #2: [85, 55, 11] from Operation: 73-62=11
Current State: 90:[85, 55, 11], Operations: ['73-62=11']
Exploring Operation: 55/11=5, Resulting Numbers: [85, 5]
Generated Node #3: [85, 5] from Operation: 55/11=5
Current State: 90:[85, 5], Operations: ['73-62=11', '55/11=5']
Exploring Operation: 85+5=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[62, 73, 85, 55], Operations: []
Exploring Operation: 73-55=18, Resulting Numbers: [62, 85, 18]
Generated Node #0,0: 90:[62, 85, 18] Operation: 73-55=18
Exploring Operation: 62-55=7, Resulting Numbers: [73, 85, 7]
Generated Node #0,1: 90:[73, 85, 7] Operation: 62-55=7
Exploring Operation: 73-62=11, Resulting Numbers: [85, 55, 11]
Generated Node #0,2: 90:[85, 55, 11] Operation: 73-62=11
Moving to Node #0,2
Current State: 90:[85, 55, 11], Operations: ['73-62=11']
Exploring Operation: 55-11=44, Resulting Numbers: [85, 44]
Generated Node #0,2,0: 90:[85, 44] Operation: 55-11=44
Exploring Operation: 55/11=5, Resulting Numbers: [85, 5]
Generated Node #0,2,1: 90:[85, 5] Operation: 55/11=5
Exploring Operation: 85-55=30, Resulting Numbers: [11, 30]
Generated Node #0,2,2: 90:[11, 30] Operation: 85-55=30
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 90:[11, 30], Operations: ['73-62=11', '85-55=30']
Exploring Operation: 30-11=19, Resulting Numbers: [19]
19,90 unequal: No Solution
Exploring Operation: 11+30=41, Resulting Numbers: [41]
41,90 unequal: No Solution
Exploring Operation: 11*30=330, Resulting Numbers: [330]
330,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 90:[85, 5], Operations: ['73-62=11', '55/11=5']
Exploring Operation: 85/5=17, Resulting Numbers: [17]
17,90 unequal: No Solution
Exploring Operation: 85+5=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Moving to Node #0
Current State: 90:[62, 73, 85, 55], Operations: []
Exploring Operation: 73-62=11, Resulting Numbers: [85, 55, 11]
Generated Node #0,2: 90:[85, 55, 11] Operation: 73-62=11
Moving to Node #0,2
Current State: 90:[85, 55, 11], Operations: ['73-62=11']
Exploring Operation: 55/11=5, Resulting Numbers: [85, 5]
Generated Node #0,2,1: 90:[85, 5] Operation: 55/11=5
Moving to Node #0,2,1
Current State: 90:[85, 5], Operations: ['73-62=11', '55/11=5']
Exploring Operation: 85+5=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_3 | mult_heuristic |
[
72,
92,
70,
8
] | 42 | [
"92-72=20",
"70-8=62",
"62-20=42"
] | Current State: 42:[72, 92, 70, 8], Operations: []
Exploring Operation: 92-72=20, Resulting Numbers: [70, 8, 20]
Generated Node #2: [70, 8, 20] from Operation: 92-72=20
Current State: 42:[70, 8, 20], Operations: ['92-72=20']
Exploring Operation: 70-8=62, Resulting Numbers: [20, 62]
Generated Node #3: [20, 62] from Operation: 70-8=62
Current State: 42:[20, 62], Operations: ['92-72=20', '70-8=62']
Exploring Operation: 62-20=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[72, 92, 70, 8], Operations: []
Exploring Operation: 92-70=22, Resulting Numbers: [72, 8, 22]
Generated Node #0,0: 42:[72, 8, 22] Operation: 92-70=22
Exploring Operation: 92-72=20, Resulting Numbers: [70, 8, 20]
Generated Node #0,1: 42:[70, 8, 20] Operation: 92-72=20
Moving to Node #0,1
Current State: 42:[70, 8, 20], Operations: ['92-72=20']
Exploring Operation: 70-20=50, Resulting Numbers: [8, 50]
Generated Node #0,1,0: 42:[8, 50] Operation: 70-20=50
Exploring Operation: 70-8=62, Resulting Numbers: [20, 62]
Generated Node #0,1,1: 42:[20, 62] Operation: 70-8=62
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 42:[8, 50], Operations: ['92-72=20', '70-20=50']
Exploring Operation: 8+50=58, Resulting Numbers: [58]
58,42 unequal: No Solution
Exploring Operation: 50-8=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Moving to Node #0
Current State: 42:[72, 92, 70, 8], Operations: []
Exploring Operation: 92-72=20, Resulting Numbers: [70, 8, 20]
Generated Node #0,1: 42:[70, 8, 20] Operation: 92-72=20
Moving to Node #0,1
Current State: 42:[70, 8, 20], Operations: ['92-72=20']
Exploring Operation: 70-20=50, Resulting Numbers: [8, 50]
Generated Node #0,1,0: 42:[8, 50] Operation: 70-20=50
Moving to Node #0,1,0
Current State: 42:[8, 50], Operations: ['92-72=20', '70-20=50']
Exploring Operation: 50-8=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
8,
30,
7,
45
] | 76 | [
"8+30=38",
"45-7=38",
"38+38=76"
] | Current State: 76:[8, 30, 7, 45], Operations: []
Exploring Operation: 8+30=38, Resulting Numbers: [7, 45, 38]
Generated Node #2: [7, 45, 38] from Operation: 8+30=38
Current State: 76:[7, 45, 38], Operations: ['8+30=38']
Exploring Operation: 45-7=38, Resulting Numbers: [38, 38]
Generated Node #3: [38, 38] from Operation: 45-7=38
Current State: 76:[38, 38], Operations: ['8+30=38', '45-7=38']
Exploring Operation: 38+38=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[8, 30, 7, 45], Operations: []
Exploring Operation: 30+45=75, Resulting Numbers: [8, 7, 75]
Generated Node #0,0: 76:[8, 7, 75] Operation: 30+45=75
Exploring Operation: 45-30=15, Resulting Numbers: [8, 7, 15]
Generated Node #0,1: 76:[8, 7, 15] Operation: 45-30=15
Exploring Operation: 8+30=38, Resulting Numbers: [7, 45, 38]
Generated Node #0,2: 76:[7, 45, 38] Operation: 8+30=38
Exploring Operation: 30+7=37, Resulting Numbers: [8, 45, 37]
Generated Node #0,3: 76:[8, 45, 37] Operation: 30+7=37
Exploring Operation: 45-8=37, Resulting Numbers: [30, 7, 37]
Generated Node #0,4: 76:[30, 7, 37] Operation: 45-8=37
Moving to Node #0,0
Current State: 76:[8, 7, 75], Operations: ['30+45=75']
Exploring Operation: 8-7=1, Resulting Numbers: [75, 1]
Generated Node #0,0,0: 76:[75, 1] Operation: 8-7=1
Exploring Operation: 7+75=82, Resulting Numbers: [8, 82]
Generated Node #0,0,1: 76:[8, 82] Operation: 7+75=82
Exploring Operation: 8+7=15, Resulting Numbers: [75, 15]
Generated Node #0,0,2: 76:[75, 15] Operation: 8+7=15
Exploring Operation: 75-8=67, Resulting Numbers: [7, 67]
Generated Node #0,0,3: 76:[7, 67] Operation: 75-8=67
Exploring Operation: 8+75=83, Resulting Numbers: [7, 83]
Generated Node #0,0,4: 76:[7, 83] Operation: 8+75=83
Moving to Node #0,2
Current State: 76:[7, 45, 38], Operations: ['8+30=38']
Exploring Operation: 45-7=38, Resulting Numbers: [38, 38]
Generated Node #0,2,0: 76:[38, 38] Operation: 45-7=38
Exploring Operation: 7+45=52, Resulting Numbers: [38, 52]
Generated Node #0,2,1: 76:[38, 52] Operation: 7+45=52
Exploring Operation: 7+38=45, Resulting Numbers: [45, 45]
Generated Node #0,2,2: 76:[45, 45] Operation: 7+38=45
Exploring Operation: 45-38=7, Resulting Numbers: [7, 7]
Generated Node #0,2,3: 76:[7, 7] Operation: 45-38=7
Exploring Operation: 45+38=83, Resulting Numbers: [7, 83]
Generated Node #0,2,4: 76:[7, 83] Operation: 45+38=83
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 76:[38, 38], Operations: ['8+30=38', '45-7=38']
Exploring Operation: 38+38=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Moving to Node #0
Current State: 76:[8, 30, 7, 45], Operations: []
Exploring Operation: 8+30=38, Resulting Numbers: [7, 45, 38]
Generated Node #0,2: 76:[7, 45, 38] Operation: 8+30=38
Moving to Node #0,2
Current State: 76:[7, 45, 38], Operations: ['8+30=38']
Exploring Operation: 45-7=38, Resulting Numbers: [38, 38]
Generated Node #0,2,0: 76:[38, 38] Operation: 45-7=38
Moving to Node #0,2,0
Current State: 76:[38, 38], Operations: ['8+30=38', '45-7=38']
Exploring Operation: 38+38=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639 | hs_5 | sum_heuristic |
[
47,
34,
7,
6
] | 25 | [
"47+7=54",
"54/6=9",
"34-9=25"
] | Current State: 25:[47, 34, 7, 6], Operations: []
Exploring Operation: 47+7=54, Resulting Numbers: [34, 6, 54]
Generated Node #2: [34, 6, 54] from Operation: 47+7=54
Current State: 25:[34, 6, 54], Operations: ['47+7=54']
Exploring Operation: 54/6=9, Resulting Numbers: [34, 9]
Generated Node #3: [34, 9] from Operation: 54/6=9
Current State: 25:[34, 9], Operations: ['47+7=54', '54/6=9']
Exploring Operation: 34-9=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[47, 34, 7, 6], Operations: []
Exploring Operation: 34-7=27, Resulting Numbers: [47, 6, 27]
Generated Node #0,0: 25:[47, 6, 27] Operation: 34-7=27
Exploring Operation: 47-6=41, Resulting Numbers: [34, 7, 41]
Generated Node #0,1: 25:[34, 7, 41] Operation: 47-6=41
Exploring Operation: 34-6=28, Resulting Numbers: [47, 7, 28]
Generated Node #0,2: 25:[47, 7, 28] Operation: 34-6=28
Exploring Operation: 47-7=40, Resulting Numbers: [34, 6, 40]
Generated Node #0,3: 25:[34, 6, 40] Operation: 47-7=40
Exploring Operation: 47-34=13, Resulting Numbers: [7, 6, 13]
Generated Node #0,4: 25:[7, 6, 13] Operation: 47-34=13
Start Sub Search at level 1: Moving to Node #0,4
Current State: 25:[7, 6, 13], Operations: ['47-34=13']
Exploring Operation: 7+13=20, Resulting Numbers: [6, 20]
Generated Node #0,4,0: 25:[6, 20] Operation: 7+13=20
Exploring Operation: 13-6=7, Resulting Numbers: [7, 7]
Generated Node #0,4,1: 25:[7, 7] Operation: 13-6=7
Exploring Operation: 7-6=1, Resulting Numbers: [13, 1]
Generated Node #0,4,2: 25:[13, 1] Operation: 7-6=1
Exploring Operation: 6+13=19, Resulting Numbers: [7, 19]
Generated Node #0,4,3: 25:[7, 19] Operation: 6+13=19
Exploring Operation: 13-7=6, Resulting Numbers: [6, 6]
Generated Node #0,4,4: 25:[6, 6] Operation: 13-7=6
Moving to Node #0,4,4
Current State: 25:[6, 6], Operations: ['47-34=13', '13-7=6']
Exploring Operation: 6-6=0, Resulting Numbers: [0]
0,25 unequal: No Solution
Exploring Operation: 6+6=12, Resulting Numbers: [12]
12,25 unequal: No Solution
Exploring Operation: 6/6=1, Resulting Numbers: [1]
1,25 unequal: No Solution
Exploring Operation: 6*6=36, Resulting Numbers: [36]
36,25 unequal: No Solution
Moving to Node #0,4,1
Current State: 25:[7, 7], Operations: ['47-34=13', '13-6=7']
Exploring Operation: 7*7=49, Resulting Numbers: [49]
49,25 unequal: No Solution
Exploring Operation: 7+7=14, Resulting Numbers: [14]
14,25 unequal: No Solution
Exploring Operation: 7-7=0, Resulting Numbers: [0]
0,25 unequal: No Solution
Exploring Operation: 7/7=1, Resulting Numbers: [1]
1,25 unequal: No Solution
Moving to Node #0,4,0
Current State: 25:[6, 20], Operations: ['47-34=13', '7+13=20']
Exploring Operation: 6*20=120, Resulting Numbers: [120]
120,25 unequal: No Solution
Exploring Operation: 20-6=14, Resulting Numbers: [14]
14,25 unequal: No Solution
Exploring Operation: 6+20=26, Resulting Numbers: [26]
26,25 unequal: No Solution
Moving to Node #0,4,3
Current State: 25:[7, 19], Operations: ['47-34=13', '6+13=19']
Exploring Operation: 7+19=26, Resulting Numbers: [26]
26,25 unequal: No Solution
Exploring Operation: 7*19=133, Resulting Numbers: [133]
133,25 unequal: No Solution
Exploring Operation: 19-7=12, Resulting Numbers: [12]
12,25 unequal: No Solution
Moving to Node #0,4,2
Current State: 25:[13, 1], Operations: ['47-34=13', '7-6=1']
Exploring Operation: 13-1=12, Resulting Numbers: [12]
12,25 unequal: No Solution
Exploring Operation: 13+1=14, Resulting Numbers: [14]
14,25 unequal: No Solution
Exploring Operation: 13*1=13, Resulting Numbers: [13]
13,25 unequal: No Solution
Exploring Operation: 13/1=13, Resulting Numbers: [13]
13,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 25:[47, 6, 27], Operations: ['34-7=27']
Exploring Operation: 47-6=41, Resulting Numbers: [27, 41]
Generated Node #0,0,0: 25:[27, 41] Operation: 47-6=41
Exploring Operation: 6+27=33, Resulting Numbers: [47, 33]
Generated Node #0,0,1: 25:[47, 33] Operation: 6+27=33
Exploring Operation: 47-27=20, Resulting Numbers: [6, 20]
Generated Node #0,0,2: 25:[6, 20] Operation: 47-27=20
Exploring Operation: 47+6=53, Resulting Numbers: [27, 53]
Generated Node #0,0,3: 25:[27, 53] Operation: 47+6=53
Exploring Operation: 27-6=21, Resulting Numbers: [47, 21]
Generated Node #0,0,4: 25:[47, 21] Operation: 27-6=21
Moving to Node #0,0,2
Current State: 25:[6, 20], Operations: ['34-7=27', '47-27=20']
Exploring Operation: 6+20=26, Resulting Numbers: [26]
26,25 unequal: No Solution
Exploring Operation: 20-6=14, Resulting Numbers: [14]
14,25 unequal: No Solution
Exploring Operation: 6*20=120, Resulting Numbers: [120]
120,25 unequal: No Solution
Moving to Node #0,0,0
Current State: 25:[27, 41], Operations: ['34-7=27', '47-6=41']
Exploring Operation: 41-27=14, Resulting Numbers: [14]
14,25 unequal: No Solution
Exploring Operation: 27+41=68, Resulting Numbers: [68]
68,25 unequal: No Solution
Exploring Operation: 27*41=1107, Resulting Numbers: [1107]
1107,25 unequal: No Solution
Moving to Node #0,0,4
Current State: 25:[47, 21], Operations: ['34-7=27', '27-6=21']
Exploring Operation: 47+21=68, Resulting Numbers: [68]
68,25 unequal: No Solution
Exploring Operation: 47-21=26, Resulting Numbers: [26]
26,25 unequal: No Solution
Exploring Operation: 47*21=987, Resulting Numbers: [987]
987,25 unequal: No Solution
Moving to Node #0,0,1
Current State: 25:[47, 33], Operations: ['34-7=27', '6+27=33']
Exploring Operation: 47-33=14, Resulting Numbers: [14]
14,25 unequal: No Solution
Exploring Operation: 47*33=1551, Resulting Numbers: [1551]
1551,25 unequal: No Solution
Exploring Operation: 47+33=80, Resulting Numbers: [80]
80,25 unequal: No Solution
Moving to Node #0,0,3
Current State: 25:[27, 53], Operations: ['34-7=27', '47+6=53']
Exploring Operation: 27*53=1431, Resulting Numbers: [1431]
1431,25 unequal: No Solution
Exploring Operation: 27+53=80, Resulting Numbers: [80]
80,25 unequal: No Solution
Exploring Operation: 53-27=26, Resulting Numbers: [26]
26,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 25:[34, 6, 40], Operations: ['47-7=40']
Exploring Operation: 34-6=28, Resulting Numbers: [40, 28]
Generated Node #0,3,0: 25:[40, 28] Operation: 34-6=28
Exploring Operation: 40-34=6, Resulting Numbers: [6, 6]
Generated Node #0,3,1: 25:[6, 6] Operation: 40-34=6
Exploring Operation: 40-6=34, Resulting Numbers: [34, 34]
Generated Node #0,3,2: 25:[34, 34] Operation: 40-6=34
Exploring Operation: 34+6=40, Resulting Numbers: [40, 40]
Generated Node #0,3,3: 25:[40, 40] Operation: 34+6=40
Exploring Operation: 6+40=46, Resulting Numbers: [34, 46]
Generated Node #0,3,4: 25:[34, 46] Operation: 6+40=46
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 25:[6, 6], Operations: ['47-7=40', '40-34=6']
Exploring Operation: 6+6=12, Resulting Numbers: [12]
12,25 unequal: No Solution
Exploring Operation: 6/6=1, Resulting Numbers: [1]
1,25 unequal: No Solution
Exploring Operation: 6-6=0, Resulting Numbers: [0]
0,25 unequal: No Solution
Exploring Operation: 6*6=36, Resulting Numbers: [36]
36,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 25:[40, 28], Operations: ['47-7=40', '34-6=28']
Exploring Operation: 40-28=12, Resulting Numbers: [12]
12,25 unequal: No Solution
Exploring Operation: 40*28=1120, Resulting Numbers: [1120]
1120,25 unequal: No Solution
Exploring Operation: 40+28=68, Resulting Numbers: [68]
68,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 25:[34, 34], Operations: ['47-7=40', '40-6=34']
Exploring Operation: 34-34=0, Resulting Numbers: [0]
0,25 unequal: No Solution
Exploring Operation: 34*34=1156, Resulting Numbers: [1156]
1156,25 unequal: No Solution
Exploring Operation: 34+34=68, Resulting Numbers: [68]
68,25 unequal: No Solution
Exploring Operation: 34/34=1, Resulting Numbers: [1]
1,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 25:[40, 40], Operations: ['47-7=40', '34+6=40']
Exploring Operation: 40*40=1600, Resulting Numbers: [1600]
1600,25 unequal: No Solution
Exploring Operation: 40+40=80, Resulting Numbers: [80]
80,25 unequal: No Solution
Exploring Operation: 40/40=1, Resulting Numbers: [1]
1,25 unequal: No Solution
Exploring Operation: 40-40=0, Resulting Numbers: [0]
0,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 25:[34, 46], Operations: ['47-7=40', '6+40=46']
Exploring Operation: 34+46=80, Resulting Numbers: [80]
80,25 unequal: No Solution
Exploring Operation: 46-34=12, Resulting Numbers: [12]
12,25 unequal: No Solution
Exploring Operation: 34*46=1564, Resulting Numbers: [1564]
1564,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 25:[34, 7, 41], Operations: ['47-6=41']
Exploring Operation: 41-7=34, Resulting Numbers: [34, 34]
Generated Node #0,1,0: 25:[34, 34] Operation: 41-7=34
Exploring Operation: 41-34=7, Resulting Numbers: [7, 7]
Generated Node #0,1,1: 25:[7, 7] Operation: 41-34=7
Exploring Operation: 34+7=41, Resulting Numbers: [41, 41]
Generated Node #0,1,2: 25:[41, 41] Operation: 34+7=41
Exploring Operation: 34-7=27, Resulting Numbers: [41, 27]
Generated Node #0,1,3: 25:[41, 27] Operation: 34-7=27
Exploring Operation: 7+41=48, Resulting Numbers: [34, 48]
Generated Node #0,1,4: 25:[34, 48] Operation: 7+41=48
Moving to Node #0,1,1
Current State: 25:[7, 7], Operations: ['47-6=41', '41-34=7']
Exploring Operation: 7*7=49, Resulting Numbers: [49]
49,25 unequal: No Solution
Exploring Operation: 7-7=0, Resulting Numbers: [0]
0,25 unequal: No Solution
Exploring Operation: 7/7=1, Resulting Numbers: [1]
1,25 unequal: No Solution
Exploring Operation: 7+7=14, Resulting Numbers: [14]
14,25 unequal: No Solution
Moving to Node #0,1,3
Current State: 25:[41, 27], Operations: ['47-6=41', '34-7=27']
Exploring Operation: 41*27=1107, Resulting Numbers: [1107]
1107,25 unequal: No Solution
Exploring Operation: 41-27=14, Resulting Numbers: [14]
14,25 unequal: No Solution
Exploring Operation: 41+27=68, Resulting Numbers: [68]
68,25 unequal: No Solution
Moving to Node #0,1,0
Current State: 25:[34, 34], Operations: ['47-6=41', '41-7=34']
Exploring Operation: 34+34=68, Resulting Numbers: [68]
68,25 unequal: No Solution
Exploring Operation: 34*34=1156, Resulting Numbers: [1156]
1156,25 unequal: No Solution
Exploring Operation: 34-34=0, Resulting Numbers: [0]
0,25 unequal: No Solution
Exploring Operation: 34/34=1, Resulting Numbers: [1]
1,25 unequal: No Solution
Moving to Node #0,1,2
Current State: 25:[41, 41], Operations: ['47-6=41', '34+7=41']
Exploring Operation: 41*41=1681, Resulting Numbers: [1681]
1681,25 unequal: No Solution
Exploring Operation: 41+41=82, Resulting Numbers: [82]
82,25 unequal: No Solution
Exploring Operation: 41-41=0, Resulting Numbers: [0]
0,25 unequal: No Solution
Exploring Operation: 41/41=1, Resulting Numbers: [1]
1,25 unequal: No Solution
Moving to Node #0,1,4
Current State: 25:[34, 48], Operations: ['47-6=41', '7+41=48']
Exploring Operation: 34+48=82, Resulting Numbers: [82]
82,25 unequal: No Solution
Exploring Operation: 34*48=1632, Resulting Numbers: [1632]
1632,25 unequal: No Solution
Exploring Operation: 48-34=14, Resulting Numbers: [14]
14,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 25:[47, 7, 28], Operations: ['34-6=28']
Exploring Operation: 47-28=19, Resulting Numbers: [7, 19]
Generated Node #0,2,0: 25:[7, 19] Operation: 47-28=19
Exploring Operation: 47-7=40, Resulting Numbers: [28, 40]
Generated Node #0,2,1: 25:[28, 40] Operation: 47-7=40
Exploring Operation: 28-7=21, Resulting Numbers: [47, 21]
Generated Node #0,2,2: 25:[47, 21] Operation: 28-7=21
Exploring Operation: 47+7=54, Resulting Numbers: [28, 54]
Generated Node #0,2,3: 25:[28, 54] Operation: 47+7=54
Exploring Operation: 28/7=4, Resulting Numbers: [47, 4]
Generated Node #0,2,4: 25:[47, 4] Operation: 28/7=4
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 25:[7, 19], Operations: ['34-6=28', '47-28=19']
Exploring Operation: 19-7=12, Resulting Numbers: [12]
12,25 unequal: No Solution
Exploring Operation: 7+19=26, Resulting Numbers: [26]
26,25 unequal: No Solution
Exploring Operation: 7*19=133, Resulting Numbers: [133]
133,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 25:[28, 40], Operations: ['34-6=28', '47-7=40']
Exploring Operation: 28*40=1120, Resulting Numbers: [1120]
1120,25 unequal: No Solution
Exploring Operation: 40-28=12, Resulting Numbers: [12]
12,25 unequal: No Solution
Exploring Operation: 28+40=68, Resulting Numbers: [68]
68,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 25:[47, 4], Operations: ['34-6=28', '28/7=4']
Exploring Operation: 47-4=43, Resulting Numbers: [43]
43,25 unequal: No Solution
Exploring Operation: 47+4=51, Resulting Numbers: [51]
51,25 unequal: No Solution
Exploring Operation: 47*4=188, Resulting Numbers: [188]
188,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 25:[47, 21], Operations: ['34-6=28', '28-7=21']
Exploring Operation: 47+21=68, Resulting Numbers: [68]
68,25 unequal: No Solution
Exploring Operation: 47-21=26, Resulting Numbers: [26]
26,25 unequal: No Solution
Exploring Operation: 47*21=987, Resulting Numbers: [987]
987,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 25:[28, 54], Operations: ['34-6=28', '47+7=54']
Exploring Operation: 28*54=1512, Resulting Numbers: [1512]
1512,25 unequal: No Solution
Exploring Operation: 54-28=26, Resulting Numbers: [26]
26,25 unequal: No Solution
Exploring Operation: 28+54=82, Resulting Numbers: [82]
82,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
96,
19,
21,
57
] | 47 | [
"19*57=1083",
"1083-96=987",
"987/21=47"
] | Current State: 47:[96, 19, 21, 57], Operations: []
Exploring Operation: 19*57=1083, Resulting Numbers: [96, 21, 1083]
Generated Node #2: [96, 21, 1083] from Operation: 19*57=1083
Current State: 47:[96, 21, 1083], Operations: ['19*57=1083']
Exploring Operation: 1083-96=987, Resulting Numbers: [21, 987]
Generated Node #3: [21, 987] from Operation: 1083-96=987
Current State: 47:[21, 987], Operations: ['19*57=1083', '1083-96=987']
Exploring Operation: 987/21=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[96, 19, 21, 57], Operations: []
Exploring Operation: 96-21=75, Resulting Numbers: [19, 57, 75]
Generated Node #0,0: 47:[19, 57, 75] Operation: 96-21=75
Exploring Operation: 96-57=39, Resulting Numbers: [19, 21, 39]
Generated Node #0,1: 47:[19, 21, 39] Operation: 96-57=39
Exploring Operation: 96-19=77, Resulting Numbers: [21, 57, 77]
Generated Node #0,2: 47:[21, 57, 77] Operation: 96-19=77
Start Sub Search at level 1: Moving to Node #0,1
Current State: 47:[19, 21, 39], Operations: ['96-57=39']
Exploring Operation: 21+39=60, Resulting Numbers: [19, 60]
Generated Node #0,1,0: 47:[19, 60] Operation: 21+39=60
Exploring Operation: 19+39=58, Resulting Numbers: [21, 58]
Generated Node #0,1,1: 47:[21, 58] Operation: 19+39=58
Exploring Operation: 19+21=40, Resulting Numbers: [39, 40]
Generated Node #0,1,2: 47:[39, 40] Operation: 19+21=40
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 47:[39, 40], Operations: ['96-57=39', '19+21=40']
Exploring Operation: 39+40=79, Resulting Numbers: [79]
79,47 unequal: No Solution
Exploring Operation: 40-39=1, Resulting Numbers: [1]
1,47 unequal: No Solution
Exploring Operation: 39*40=1560, Resulting Numbers: [1560]
1560,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 47:[21, 58], Operations: ['96-57=39', '19+39=58']
Exploring Operation: 21*58=1218, Resulting Numbers: [1218]
1218,47 unequal: No Solution
Exploring Operation: 21+58=79, Resulting Numbers: [79]
79,47 unequal: No Solution
Exploring Operation: 58-21=37, Resulting Numbers: [37]
37,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 47:[19, 60], Operations: ['96-57=39', '21+39=60']
Exploring Operation: 19*60=1140, Resulting Numbers: [1140]
1140,47 unequal: No Solution
Exploring Operation: 60-19=41, Resulting Numbers: [41]
41,47 unequal: No Solution
Exploring Operation: 19+60=79, Resulting Numbers: [79]
79,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 47:[19, 57, 75], Operations: ['96-21=75']
Exploring Operation: 57-19=38, Resulting Numbers: [75, 38]
Generated Node #0,0,0: 47:[75, 38] Operation: 57-19=38
Exploring Operation: 75-19=56, Resulting Numbers: [57, 56]
Generated Node #0,0,1: 47:[57, 56] Operation: 75-19=56
Exploring Operation: 19+57=76, Resulting Numbers: [75, 76]
Generated Node #0,0,2: 47:[75, 76] Operation: 19+57=76
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 47:[57, 56], Operations: ['96-21=75', '75-19=56']
Exploring Operation: 57+56=113, Resulting Numbers: [113]
113,47 unequal: No Solution
Exploring Operation: 57*56=3192, Resulting Numbers: [3192]
3192,47 unequal: No Solution
Exploring Operation: 57-56=1, Resulting Numbers: [1]
1,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 47:[75, 38], Operations: ['96-21=75', '57-19=38']
Exploring Operation: 75*38=2850, Resulting Numbers: [2850]
2850,47 unequal: No Solution
Exploring Operation: 75-38=37, Resulting Numbers: [37]
37,47 unequal: No Solution
Exploring Operation: 75+38=113, Resulting Numbers: [113]
113,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 47:[75, 76], Operations: ['96-21=75', '19+57=76']
Exploring Operation: 76-75=1, Resulting Numbers: [1]
1,47 unequal: No Solution
Exploring Operation: 75*76=5700, Resulting Numbers: [5700]
5700,47 unequal: No Solution
Exploring Operation: 75+76=151, Resulting Numbers: [151]
151,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 47:[21, 57, 77], Operations: ['96-19=77']
Exploring Operation: 77-57=20, Resulting Numbers: [21, 20]
Generated Node #0,2,0: 47:[21, 20] Operation: 77-57=20
Exploring Operation: 77-21=56, Resulting Numbers: [57, 56]
Generated Node #0,2,1: 47:[57, 56] Operation: 77-21=56
Exploring Operation: 57-21=36, Resulting Numbers: [77, 36]
Generated Node #0,2,2: 47:[77, 36] Operation: 57-21=36
Moving to Node #0,2,1
Current State: 47:[57, 56], Operations: ['96-19=77', '77-21=56']
Exploring Operation: 57*56=3192, Resulting Numbers: [3192]
3192,47 unequal: No Solution
Exploring Operation: 57+56=113, Resulting Numbers: [113]
113,47 unequal: No Solution
Exploring Operation: 57-56=1, Resulting Numbers: [1]
1,47 unequal: No Solution
Moving to Node #0,2,2
Current State: 47:[77, 36], Operations: ['96-19=77', '57-21=36']
Exploring Operation: 77*36=2772, Resulting Numbers: [2772]
2772,47 unequal: No Solution
Exploring Operation: 77+36=113, Resulting Numbers: [113]
113,47 unequal: No Solution
Exploring Operation: 77-36=41, Resulting Numbers: [41]
41,47 unequal: No Solution
Moving to Node #0,2,0
Current State: 47:[21, 20], Operations: ['96-19=77', '77-57=20']
Exploring Operation: 21-20=1, Resulting Numbers: [1]
1,47 unequal: No Solution
Exploring Operation: 21+20=41, Resulting Numbers: [41]
41,47 unequal: No Solution
Exploring Operation: 21*20=420, Resulting Numbers: [420]
420,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
28,
84,
88,
18
] | 82 | [
"84/28=3",
"18/3=6",
"88-6=82"
] | Current State: 82:[28, 84, 88, 18], Operations: []
Exploring Operation: 84/28=3, Resulting Numbers: [88, 18, 3]
Generated Node #2: [88, 18, 3] from Operation: 84/28=3
Current State: 82:[88, 18, 3], Operations: ['84/28=3']
Exploring Operation: 18/3=6, Resulting Numbers: [88, 6]
Generated Node #3: [88, 6] from Operation: 18/3=6
Current State: 82:[88, 6], Operations: ['84/28=3', '18/3=6']
Exploring Operation: 88-6=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[28, 84, 88, 18], Operations: []
Exploring Operation: 28-18=10, Resulting Numbers: [84, 88, 10]
Generated Node #0,0: 82:[84, 88, 10] Operation: 28-18=10
Exploring Operation: 28+18=46, Resulting Numbers: [84, 88, 46]
Generated Node #0,1: 82:[84, 88, 46] Operation: 28+18=46
Start Sub Search at level 1: Moving to Node #0,1
Current State: 82:[84, 88, 46], Operations: ['28+18=46']
Exploring Operation: 88-84=4, Resulting Numbers: [46, 4]
Generated Node #0,1,0: 82:[46, 4] Operation: 88-84=4
Exploring Operation: 88-46=42, Resulting Numbers: [84, 42]
Generated Node #0,1,1: 82:[84, 42] Operation: 88-46=42
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 82:[84, 42], Operations: ['28+18=46', '88-46=42']
Exploring Operation: 84-42=42, Resulting Numbers: [42]
42,82 unequal: No Solution
Exploring Operation: 84/42=2, Resulting Numbers: [2]
2,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 82:[46, 4], Operations: ['28+18=46', '88-84=4']
Exploring Operation: 46+4=50, Resulting Numbers: [50]
50,82 unequal: No Solution
Exploring Operation: 46-4=42, Resulting Numbers: [42]
42,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 82:[84, 88, 10], Operations: ['28-18=10']
Exploring Operation: 88-84=4, Resulting Numbers: [10, 4]
Generated Node #0,0,0: 82:[10, 4] Operation: 88-84=4
Exploring Operation: 88-10=78, Resulting Numbers: [84, 78]
Generated Node #0,0,1: 82:[84, 78] Operation: 88-10=78
Moving to Node #0,0,1
Current State: 82:[84, 78], Operations: ['28-18=10', '88-10=78']
Exploring Operation: 84+78=162, Resulting Numbers: [162]
162,82 unequal: No Solution
Exploring Operation: 84-78=6, Resulting Numbers: [6]
6,82 unequal: No Solution
Moving to Node #0,0,0
Current State: 82:[10, 4], Operations: ['28-18=10', '88-84=4']
Exploring Operation: 10-4=6, Resulting Numbers: [6]
6,82 unequal: No Solution
Exploring Operation: 10*4=40, Resulting Numbers: [40]
40,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
2,
11,
8,
50
] | 43 | [
"8/2=4",
"50-11=39",
"4+39=43"
] | Current State: 43:[2, 11, 8, 50], Operations: []
Exploring Operation: 8/2=4, Resulting Numbers: [11, 50, 4]
Generated Node #2: [11, 50, 4] from Operation: 8/2=4
Current State: 43:[11, 50, 4], Operations: ['8/2=4']
Exploring Operation: 50-11=39, Resulting Numbers: [4, 39]
Generated Node #3: [4, 39] from Operation: 50-11=39
Current State: 43:[4, 39], Operations: ['8/2=4', '50-11=39']
Exploring Operation: 4+39=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[2, 11, 8, 50], Operations: []
Exploring Operation: 2*8=16, Resulting Numbers: [11, 50, 16]
Generated Node #0,0: 43:[11, 50, 16] Operation: 2*8=16
Exploring Operation: 2*11=22, Resulting Numbers: [8, 50, 22]
Generated Node #0,1: 43:[8, 50, 22] Operation: 2*11=22
Moving to Node #0,1
Current State: 43:[8, 50, 22], Operations: ['2*11=22']
Exploring Operation: 50-8=42, Resulting Numbers: [22, 42]
Generated Node #0,1,0: 43:[22, 42] Operation: 50-8=42
Exploring Operation: 8+22=30, Resulting Numbers: [50, 30]
Generated Node #0,1,1: 43:[50, 30] Operation: 8+22=30
Moving to Node #0,0
Current State: 43:[11, 50, 16], Operations: ['2*8=16']
Exploring Operation: 11+16=27, Resulting Numbers: [50, 27]
Generated Node #0,0,0: 43:[50, 27] Operation: 11+16=27
Exploring Operation: 50-11=39, Resulting Numbers: [16, 39]
Generated Node #0,0,1: 43:[16, 39] Operation: 50-11=39
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 43:[50, 27], Operations: ['2*8=16', '11+16=27']
Exploring Operation: 50+27=77, Resulting Numbers: [77]
77,43 unequal: No Solution
Exploring Operation: 50-27=23, Resulting Numbers: [23]
23,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 43:[16, 39], Operations: ['2*8=16', '50-11=39']
Exploring Operation: 16+39=55, Resulting Numbers: [55]
55,43 unequal: No Solution
Exploring Operation: 39-16=23, Resulting Numbers: [23]
23,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,1
Current State: 43:[50, 30], Operations: ['2*11=22', '8+22=30']
Exploring Operation: 50+30=80, Resulting Numbers: [80]
80,43 unequal: No Solution
Exploring Operation: 50-30=20, Resulting Numbers: [20]
20,43 unequal: No Solution
Moving to Node #0,1,0
Current State: 43:[22, 42], Operations: ['2*11=22', '50-8=42']
Exploring Operation: 22+42=64, Resulting Numbers: [64]
64,43 unequal: No Solution
Exploring Operation: 42-22=20, Resulting Numbers: [20]
20,43 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
46,
99,
58,
69
] | 55 | [
"69-58=11",
"99/11=9",
"46+9=55"
] | Current State: 55:[46, 99, 58, 69], Operations: []
Exploring Operation: 69-58=11, Resulting Numbers: [46, 99, 11]
Generated Node #2: [46, 99, 11] from Operation: 69-58=11
Current State: 55:[46, 99, 11], Operations: ['69-58=11']
Exploring Operation: 99/11=9, Resulting Numbers: [46, 9]
Generated Node #3: [46, 9] from Operation: 99/11=9
Current State: 55:[46, 9], Operations: ['69-58=11', '99/11=9']
Exploring Operation: 46+9=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[46, 99, 58, 69], Operations: []
Exploring Operation: 99-58=41, Resulting Numbers: [46, 69, 41]
Generated Node #0,0: 55:[46, 69, 41] Operation: 99-58=41
Exploring Operation: 99-69=30, Resulting Numbers: [46, 58, 30]
Generated Node #0,1: 55:[46, 58, 30] Operation: 99-69=30
Exploring Operation: 99-46=53, Resulting Numbers: [58, 69, 53]
Generated Node #0,2: 55:[58, 69, 53] Operation: 99-46=53
Moving to Node #0,2
Current State: 55:[58, 69, 53], Operations: ['99-46=53']
Exploring Operation: 69-53=16, Resulting Numbers: [58, 16]
Generated Node #0,2,0: 55:[58, 16] Operation: 69-53=16
Exploring Operation: 69-58=11, Resulting Numbers: [53, 11]
Generated Node #0,2,1: 55:[53, 11] Operation: 69-58=11
Exploring Operation: 58-53=5, Resulting Numbers: [69, 5]
Generated Node #0,2,2: 55:[69, 5] Operation: 58-53=5
Moving to Node #0,1
Current State: 55:[46, 58, 30], Operations: ['99-69=30']
Exploring Operation: 46+30=76, Resulting Numbers: [58, 76]
Generated Node #0,1,0: 55:[58, 76] Operation: 46+30=76
Exploring Operation: 46-30=16, Resulting Numbers: [58, 16]
Generated Node #0,1,1: 55:[58, 16] Operation: 46-30=16
Exploring Operation: 58-46=12, Resulting Numbers: [30, 12]
Generated Node #0,1,2: 55:[30, 12] Operation: 58-46=12
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 55:[58, 16], Operations: ['99-69=30', '46-30=16']
Exploring Operation: 58*16=928, Resulting Numbers: [928]
928,55 unequal: No Solution
Exploring Operation: 58+16=74, Resulting Numbers: [74]
74,55 unequal: No Solution
Exploring Operation: 58-16=42, Resulting Numbers: [42]
42,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 55:[30, 12], Operations: ['99-69=30', '58-46=12']
Exploring Operation: 30*12=360, Resulting Numbers: [360]
360,55 unequal: No Solution
Exploring Operation: 30+12=42, Resulting Numbers: [42]
42,55 unequal: No Solution
Exploring Operation: 30-12=18, Resulting Numbers: [18]
18,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 55:[58, 76], Operations: ['99-69=30', '46+30=76']
Exploring Operation: 58*76=4408, Resulting Numbers: [4408]
4408,55 unequal: No Solution
Exploring Operation: 76-58=18, Resulting Numbers: [18]
18,55 unequal: No Solution
Exploring Operation: 58+76=134, Resulting Numbers: [134]
134,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 55:[46, 69, 41], Operations: ['99-58=41']
Exploring Operation: 69-41=28, Resulting Numbers: [46, 28]
Generated Node #0,0,0: 55:[46, 28] Operation: 69-41=28
Exploring Operation: 69-46=23, Resulting Numbers: [41, 23]
Generated Node #0,0,1: 55:[41, 23] Operation: 69-46=23
Exploring Operation: 46-41=5, Resulting Numbers: [69, 5]
Generated Node #0,0,2: 55:[69, 5] Operation: 46-41=5
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 55:[69, 5], Operations: ['99-58=41', '46-41=5']
Exploring Operation: 69*5=345, Resulting Numbers: [345]
345,55 unequal: No Solution
Exploring Operation: 69+5=74, Resulting Numbers: [74]
74,55 unequal: No Solution
Exploring Operation: 69-5=64, Resulting Numbers: [64]
64,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 55:[46, 28], Operations: ['99-58=41', '69-41=28']
Exploring Operation: 46+28=74, Resulting Numbers: [74]
74,55 unequal: No Solution
Exploring Operation: 46*28=1288, Resulting Numbers: [1288]
1288,55 unequal: No Solution
Exploring Operation: 46-28=18, Resulting Numbers: [18]
18,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 55:[41, 23], Operations: ['99-58=41', '69-46=23']
Exploring Operation: 41*23=943, Resulting Numbers: [943]
943,55 unequal: No Solution
Exploring Operation: 41-23=18, Resulting Numbers: [18]
18,55 unequal: No Solution
Exploring Operation: 41+23=64, Resulting Numbers: [64]
64,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,1
Current State: 55:[53, 11], Operations: ['99-46=53', '69-58=11']
Exploring Operation: 53*11=583, Resulting Numbers: [583]
583,55 unequal: No Solution
Exploring Operation: 53-11=42, Resulting Numbers: [42]
42,55 unequal: No Solution
Exploring Operation: 53+11=64, Resulting Numbers: [64]
64,55 unequal: No Solution
Moving to Node #0,2,0
Current State: 55:[58, 16], Operations: ['99-46=53', '69-53=16']
Exploring Operation: 58+16=74, Resulting Numbers: [74]
74,55 unequal: No Solution
Exploring Operation: 58-16=42, Resulting Numbers: [42]
42,55 unequal: No Solution
Exploring Operation: 58*16=928, Resulting Numbers: [928]
928,55 unequal: No Solution
Moving to Node #0,2,2
Current State: 55:[69, 5], Operations: ['99-46=53', '58-53=5']
Exploring Operation: 69+5=74, Resulting Numbers: [74]
74,55 unequal: No Solution
Exploring Operation: 69*5=345, Resulting Numbers: [345]
345,55 unequal: No Solution
Exploring Operation: 69-5=64, Resulting Numbers: [64]
64,55 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
14,
3,
44,
61
] | 94 | [
"14-3=11",
"44+61=105",
"105-11=94"
] | Current State: 94:[14, 3, 44, 61], Operations: []
Exploring Operation: 14-3=11, Resulting Numbers: [44, 61, 11]
Generated Node #2: [44, 61, 11] from Operation: 14-3=11
Current State: 94:[44, 61, 11], Operations: ['14-3=11']
Exploring Operation: 44+61=105, Resulting Numbers: [11, 105]
Generated Node #3: [11, 105] from Operation: 44+61=105
Current State: 94:[11, 105], Operations: ['14-3=11', '44+61=105']
Exploring Operation: 105-11=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[14, 3, 44, 61], Operations: []
Exploring Operation: 14*3=42, Resulting Numbers: [44, 61, 42]
Generated Node #0,0: 94:[44, 61, 42] Operation: 14*3=42
Exploring Operation: 61-14=47, Resulting Numbers: [3, 44, 47]
Generated Node #0,1: 94:[3, 44, 47] Operation: 61-14=47
Moving to Node #0,1
Current State: 94:[3, 44, 47], Operations: ['61-14=47']
Exploring Operation: 3+44=47, Resulting Numbers: [47, 47]
Generated Node #0,1,0: 94:[47, 47] Operation: 3+44=47
Exploring Operation: 47-44=3, Resulting Numbers: [3, 3]
Generated Node #0,1,1: 94:[3, 3] Operation: 47-44=3
Moving to Node #0,0
Current State: 94:[44, 61, 42], Operations: ['14*3=42']
Exploring Operation: 44-42=2, Resulting Numbers: [61, 2]
Generated Node #0,0,0: 94:[61, 2] Operation: 44-42=2
Exploring Operation: 61+42=103, Resulting Numbers: [44, 103]
Generated Node #0,0,1: 94:[44, 103] Operation: 61+42=103
Moving to Node #0,1,0
Current State: 94:[47, 47], Operations: ['61-14=47', '3+44=47']
Exploring Operation: 47/47=1, Resulting Numbers: [1]
1,94 unequal: No Solution
Exploring Operation: 47+47=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Moving to Node #0
Current State: 94:[14, 3, 44, 61], Operations: []
Exploring Operation: 61-14=47, Resulting Numbers: [3, 44, 47]
Generated Node #0,1: 94:[3, 44, 47] Operation: 61-14=47
Moving to Node #0,1
Current State: 94:[3, 44, 47], Operations: ['61-14=47']
Exploring Operation: 3+44=47, Resulting Numbers: [47, 47]
Generated Node #0,1,0: 94:[47, 47] Operation: 3+44=47
Moving to Node #0,1,0
Current State: 94:[47, 47], Operations: ['61-14=47', '3+44=47']
Exploring Operation: 47+47=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 0.989583 | hs_2 | sum_heuristic |
[
8,
9,
51,
45
] | 48 | [
"8+9=17",
"51/17=3",
"45+3=48"
] | Current State: 48:[8, 9, 51, 45], Operations: []
Exploring Operation: 8+9=17, Resulting Numbers: [51, 45, 17]
Generated Node #2: [51, 45, 17] from Operation: 8+9=17
Current State: 48:[51, 45, 17], Operations: ['8+9=17']
Exploring Operation: 51/17=3, Resulting Numbers: [45, 3]
Generated Node #3: [45, 3] from Operation: 51/17=3
Current State: 48:[45, 3], Operations: ['8+9=17', '51/17=3']
Exploring Operation: 45+3=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[8, 9, 51, 45], Operations: []
Exploring Operation: 9-8=1, Resulting Numbers: [51, 45, 1]
Generated Node #0,0: 48:[51, 45, 1] Operation: 9-8=1
Exploring Operation: 8+9=17, Resulting Numbers: [51, 45, 17]
Generated Node #0,1: 48:[51, 45, 17] Operation: 8+9=17
Exploring Operation: 51-45=6, Resulting Numbers: [8, 9, 6]
Generated Node #0,2: 48:[8, 9, 6] Operation: 51-45=6
Exploring Operation: 45/9=5, Resulting Numbers: [8, 51, 5]
Generated Node #0,3: 48:[8, 51, 5] Operation: 45/9=5
Start Sub Search at level 1: Moving to Node #0,2
Current State: 48:[8, 9, 6], Operations: ['51-45=6']
Exploring Operation: 8+9=17, Resulting Numbers: [6, 17]
Generated Node #0,2,0: 48:[6, 17] Operation: 8+9=17
Exploring Operation: 9-6=3, Resulting Numbers: [8, 3]
Generated Node #0,2,1: 48:[8, 3] Operation: 9-6=3
Exploring Operation: 9-8=1, Resulting Numbers: [6, 1]
Generated Node #0,2,2: 48:[6, 1] Operation: 9-8=1
Exploring Operation: 8*6=48, Resulting Numbers: [9, 48]
Generated Node #0,2,3: 48:[9, 48] Operation: 8*6=48
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 48:[8, 3], Operations: ['51-45=6', '9-6=3']
Exploring Operation: 8+3=11, Resulting Numbers: [11]
11,48 unequal: No Solution
Exploring Operation: 8*3=24, Resulting Numbers: [24]
24,48 unequal: No Solution
Exploring Operation: 8-3=5, Resulting Numbers: [5]
5,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 48:[6, 17], Operations: ['51-45=6', '8+9=17']
Exploring Operation: 6+17=23, Resulting Numbers: [23]
23,48 unequal: No Solution
Exploring Operation: 17-6=11, Resulting Numbers: [11]
11,48 unequal: No Solution
Exploring Operation: 6*17=102, Resulting Numbers: [102]
102,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 48:[6, 1], Operations: ['51-45=6', '9-8=1']
Exploring Operation: 6-1=5, Resulting Numbers: [5]
5,48 unequal: No Solution
Exploring Operation: 6+1=7, Resulting Numbers: [7]
7,48 unequal: No Solution
Exploring Operation: 6*1=6, Resulting Numbers: [6]
6,48 unequal: No Solution
Exploring Operation: 6/1=6, Resulting Numbers: [6]
6,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 48:[9, 48], Operations: ['51-45=6', '8*6=48']
Exploring Operation: 9+48=57, Resulting Numbers: [57]
57,48 unequal: No Solution
Exploring Operation: 48-9=39, Resulting Numbers: [39]
39,48 unequal: No Solution
Exploring Operation: 9*48=432, Resulting Numbers: [432]
432,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 48:[8, 51, 5], Operations: ['45/9=5']
Exploring Operation: 8-5=3, Resulting Numbers: [51, 3]
Generated Node #0,3,0: 48:[51, 3] Operation: 8-5=3
Exploring Operation: 51-8=43, Resulting Numbers: [5, 43]
Generated Node #0,3,1: 48:[5, 43] Operation: 51-8=43
Exploring Operation: 51-5=46, Resulting Numbers: [8, 46]
Generated Node #0,3,2: 48:[8, 46] Operation: 51-5=46
Exploring Operation: 8+5=13, Resulting Numbers: [51, 13]
Generated Node #0,3,3: 48:[51, 13] Operation: 8+5=13
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 48:[8, 46], Operations: ['45/9=5', '51-5=46']
Exploring Operation: 8*46=368, Resulting Numbers: [368]
368,48 unequal: No Solution
Exploring Operation: 8+46=54, Resulting Numbers: [54]
54,48 unequal: No Solution
Exploring Operation: 46-8=38, Resulting Numbers: [38]
38,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 48:[51, 3], Operations: ['45/9=5', '8-5=3']
Exploring Operation: 51*3=153, Resulting Numbers: [153]
153,48 unequal: No Solution
Exploring Operation: 51/3=17, Resulting Numbers: [17]
17,48 unequal: No Solution
Exploring Operation: 51-3=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Moving to Node #0
Current State: 48:[8, 9, 51, 45], Operations: []
Exploring Operation: 45/9=5, Resulting Numbers: [8, 51, 5]
Generated Node #0,3: 48:[8, 51, 5] Operation: 45/9=5
Moving to Node #0,3
Current State: 48:[8, 51, 5], Operations: ['45/9=5']
Exploring Operation: 8-5=3, Resulting Numbers: [51, 3]
Generated Node #0,3,0: 48:[51, 3] Operation: 8-5=3
Moving to Node #0,3,0
Current State: 48:[51, 3], Operations: ['45/9=5', '8-5=3']
Exploring Operation: 51-3=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.969618 | hs_4 | sum_heuristic |
[
16,
52,
67,
62
] | 31 | [
"52-16=36",
"67-62=5",
"36-5=31"
] | Current State: 31:[16, 52, 67, 62], Operations: []
Exploring Operation: 52-16=36, Resulting Numbers: [67, 62, 36]
Generated Node #2: [67, 62, 36] from Operation: 52-16=36
Current State: 31:[67, 62, 36], Operations: ['52-16=36']
Exploring Operation: 67-62=5, Resulting Numbers: [36, 5]
Generated Node #3: [36, 5] from Operation: 67-62=5
Current State: 31:[36, 5], Operations: ['52-16=36', '67-62=5']
Exploring Operation: 36-5=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[16, 52, 67, 62], Operations: []
Exploring Operation: 67-62=5, Resulting Numbers: [16, 52, 5]
Generated Node #0,0: 31:[16, 52, 5] Operation: 67-62=5
Exploring Operation: 52-16=36, Resulting Numbers: [67, 62, 36]
Generated Node #0,1: 31:[67, 62, 36] Operation: 52-16=36
Exploring Operation: 67-52=15, Resulting Numbers: [16, 62, 15]
Generated Node #0,2: 31:[16, 62, 15] Operation: 67-52=15
Exploring Operation: 67-16=51, Resulting Numbers: [52, 62, 51]
Generated Node #0,3: 31:[52, 62, 51] Operation: 67-16=51
Start Sub Search at level 1: Moving to Node #0,0
Current State: 31:[16, 52, 5], Operations: ['67-62=5']
Exploring Operation: 52-5=47, Resulting Numbers: [16, 47]
Generated Node #0,0,0: 31:[16, 47] Operation: 52-5=47
Exploring Operation: 16-5=11, Resulting Numbers: [52, 11]
Generated Node #0,0,1: 31:[52, 11] Operation: 16-5=11
Exploring Operation: 52-16=36, Resulting Numbers: [5, 36]
Generated Node #0,0,2: 31:[5, 36] Operation: 52-16=36
Exploring Operation: 16+5=21, Resulting Numbers: [52, 21]
Generated Node #0,0,3: 31:[52, 21] Operation: 16+5=21
Moving to Node #0,0,0
Current State: 31:[16, 47], Operations: ['67-62=5', '52-5=47']
Exploring Operation: 16+47=63, Resulting Numbers: [63]
63,31 unequal: No Solution
Exploring Operation: 16*47=752, Resulting Numbers: [752]
752,31 unequal: No Solution
Exploring Operation: 47-16=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Moving to Node #0
Current State: 31:[16, 52, 67, 62], Operations: []
Exploring Operation: 67-62=5, Resulting Numbers: [16, 52, 5]
Generated Node #0,0: 31:[16, 52, 5] Operation: 67-62=5
Moving to Node #0,0
Current State: 31:[16, 52, 5], Operations: ['67-62=5']
Exploring Operation: 52-5=47, Resulting Numbers: [16, 47]
Generated Node #0,0,0: 31:[16, 47] Operation: 52-5=47
Moving to Node #0,0,0
Current State: 31:[16, 47], Operations: ['67-62=5', '52-5=47']
Exploring Operation: 47-16=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_4 | mult_heuristic |
[
57,
32,
89,
8
] | 72 | [
"57-32=25",
"89+8=97",
"97-25=72"
] | Current State: 72:[57, 32, 89, 8], Operations: []
Exploring Operation: 57-32=25, Resulting Numbers: [89, 8, 25]
Generated Node #2: [89, 8, 25] from Operation: 57-32=25
Current State: 72:[89, 8, 25], Operations: ['57-32=25']
Exploring Operation: 89+8=97, Resulting Numbers: [25, 97]
Generated Node #3: [25, 97] from Operation: 89+8=97
Current State: 72:[25, 97], Operations: ['57-32=25', '89+8=97']
Exploring Operation: 97-25=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[57, 32, 89, 8], Operations: []
Exploring Operation: 57-32=25, Resulting Numbers: [89, 8, 25]
Generated Node #0,0: 72:[89, 8, 25] Operation: 57-32=25
Exploring Operation: 57+8=65, Resulting Numbers: [32, 89, 65]
Generated Node #0,1: 72:[32, 89, 65] Operation: 57+8=65
Exploring Operation: 89-57=32, Resulting Numbers: [32, 8, 32]
Generated Node #0,2: 72:[32, 8, 32] Operation: 89-57=32
Moving to Node #0,2
Current State: 72:[32, 8, 32], Operations: ['89-57=32']
Exploring Operation: 32/32=1, Resulting Numbers: [8, 1]
Generated Node #0,2,0: 72:[8, 1] Operation: 32/32=1
Exploring Operation: 32-32=0, Resulting Numbers: [8, 0]
Generated Node #0,2,1: 72:[8, 0] Operation: 32-32=0
Exploring Operation: 32-8=24, Resulting Numbers: [32, 24]
Generated Node #0,2,2: 72:[32, 24] Operation: 32-8=24
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 72:[8, 1], Operations: ['89-57=32', '32/32=1']
Exploring Operation: 8/1=8, Resulting Numbers: [8]
8,72 unequal: No Solution
Exploring Operation: 8+1=9, Resulting Numbers: [9]
9,72 unequal: No Solution
Exploring Operation: 8*1=8, Resulting Numbers: [8]
8,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 72:[8, 0], Operations: ['89-57=32', '32-32=0']
Exploring Operation: 8*0=0, Resulting Numbers: [0]
0,72 unequal: No Solution
Exploring Operation: 8-0=8, Resulting Numbers: [8]
8,72 unequal: No Solution
Exploring Operation: 8+0=8, Resulting Numbers: [8]
8,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 72:[32, 24], Operations: ['89-57=32', '32-8=24']
Exploring Operation: 32-24=8, Resulting Numbers: [8]
8,72 unequal: No Solution
Exploring Operation: 32*24=768, Resulting Numbers: [768]
768,72 unequal: No Solution
Exploring Operation: 32+24=56, Resulting Numbers: [56]
56,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 72:[89, 8, 25], Operations: ['57-32=25']
Exploring Operation: 89-25=64, Resulting Numbers: [8, 64]
Generated Node #0,0,0: 72:[8, 64] Operation: 89-25=64
Exploring Operation: 89-8=81, Resulting Numbers: [25, 81]
Generated Node #0,0,1: 72:[25, 81] Operation: 89-8=81
Exploring Operation: 25-8=17, Resulting Numbers: [89, 17]
Generated Node #0,0,2: 72:[89, 17] Operation: 25-8=17
Moving to Node #0,1
Current State: 72:[32, 89, 65], Operations: ['57+8=65']
Exploring Operation: 65-32=33, Resulting Numbers: [89, 33]
Generated Node #0,1,0: 72:[89, 33] Operation: 65-32=33
Exploring Operation: 89-65=24, Resulting Numbers: [32, 24]
Generated Node #0,1,1: 72:[32, 24] Operation: 89-65=24
Exploring Operation: 89-32=57, Resulting Numbers: [65, 57]
Generated Node #0,1,2: 72:[65, 57] Operation: 89-32=57
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 72:[32, 24], Operations: ['57+8=65', '89-65=24']
Exploring Operation: 32-24=8, Resulting Numbers: [8]
8,72 unequal: No Solution
Exploring Operation: 32*24=768, Resulting Numbers: [768]
768,72 unequal: No Solution
Exploring Operation: 32+24=56, Resulting Numbers: [56]
56,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 72:[89, 33], Operations: ['57+8=65', '65-32=33']
Exploring Operation: 89+33=122, Resulting Numbers: [122]
122,72 unequal: No Solution
Exploring Operation: 89-33=56, Resulting Numbers: [56]
56,72 unequal: No Solution
Exploring Operation: 89*33=2937, Resulting Numbers: [2937]
2937,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 72:[65, 57], Operations: ['57+8=65', '89-32=57']
Exploring Operation: 65+57=122, Resulting Numbers: [122]
122,72 unequal: No Solution
Exploring Operation: 65-57=8, Resulting Numbers: [8]
8,72 unequal: No Solution
Exploring Operation: 65*57=3705, Resulting Numbers: [3705]
3705,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,0
Current State: 72:[8, 64], Operations: ['57-32=25', '89-25=64']
Exploring Operation: 64/8=8, Resulting Numbers: [8]
8,72 unequal: No Solution
Exploring Operation: 64-8=56, Resulting Numbers: [56]
56,72 unequal: No Solution
Exploring Operation: 8+64=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Moving to Node #0
Current State: 72:[57, 32, 89, 8], Operations: []
Exploring Operation: 57-32=25, Resulting Numbers: [89, 8, 25]
Generated Node #0,0: 72:[89, 8, 25] Operation: 57-32=25
Moving to Node #0,0
Current State: 72:[89, 8, 25], Operations: ['57-32=25']
Exploring Operation: 89-25=64, Resulting Numbers: [8, 64]
Generated Node #0,0,0: 72:[8, 64] Operation: 89-25=64
Moving to Node #0,0,0
Current State: 72:[8, 64], Operations: ['57-32=25', '89-25=64']
Exploring Operation: 8+64=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 0.967882 | hs_3 | mult_heuristic |
[
19,
24,
22,
21
] | 10 | [
"21-19=2",
"24/2=12",
"22-12=10"
] | Current State: 10:[19, 24, 22, 21], Operations: []
Exploring Operation: 21-19=2, Resulting Numbers: [24, 22, 2]
Generated Node #2: [24, 22, 2] from Operation: 21-19=2
Current State: 10:[24, 22, 2], Operations: ['21-19=2']
Exploring Operation: 24/2=12, Resulting Numbers: [22, 12]
Generated Node #3: [22, 12] from Operation: 24/2=12
Current State: 10:[22, 12], Operations: ['21-19=2', '24/2=12']
Exploring Operation: 22-12=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[19, 24, 22, 21], Operations: []
Exploring Operation: 22-21=1, Resulting Numbers: [19, 24, 1]
Generated Node #0,0: 10:[19, 24, 1] Operation: 22-21=1
Exploring Operation: 24-22=2, Resulting Numbers: [19, 21, 2]
Generated Node #0,1: 10:[19, 21, 2] Operation: 24-22=2
Exploring Operation: 24-19=5, Resulting Numbers: [22, 21, 5]
Generated Node #0,2: 10:[22, 21, 5] Operation: 24-19=5
Exploring Operation: 24-21=3, Resulting Numbers: [19, 22, 3]
Generated Node #0,3: 10:[19, 22, 3] Operation: 24-21=3
Start Sub Search at level 1: Moving to Node #0,1
Current State: 10:[19, 21, 2], Operations: ['24-22=2']
Exploring Operation: 19+2=21, Resulting Numbers: [21, 21]
Generated Node #0,1,0: 10:[21, 21] Operation: 19+2=21
Exploring Operation: 19-2=17, Resulting Numbers: [21, 17]
Generated Node #0,1,1: 10:[21, 17] Operation: 19-2=17
Exploring Operation: 21-19=2, Resulting Numbers: [2, 2]
Generated Node #0,1,2: 10:[2, 2] Operation: 21-19=2
Exploring Operation: 21-2=19, Resulting Numbers: [19, 19]
Generated Node #0,1,3: 10:[19, 19] Operation: 21-2=19
Moving to Node #0,1,2
Current State: 10:[2, 2], Operations: ['24-22=2', '21-19=2']
Exploring Operation: 2/2=1, Resulting Numbers: [1]
1,10 unequal: No Solution
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,10 unequal: No Solution
Exploring Operation: 2-2=0, Resulting Numbers: [0]
0,10 unequal: No Solution
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,10 unequal: No Solution
Moving to Node #0,1,3
Current State: 10:[19, 19], Operations: ['24-22=2', '21-2=19']
Exploring Operation: 19/19=1, Resulting Numbers: [1]
1,10 unequal: No Solution
Exploring Operation: 19+19=38, Resulting Numbers: [38]
38,10 unequal: No Solution
Exploring Operation: 19-19=0, Resulting Numbers: [0]
0,10 unequal: No Solution
Exploring Operation: 19*19=361, Resulting Numbers: [361]
361,10 unequal: No Solution
Moving to Node #0,1,1
Current State: 10:[21, 17], Operations: ['24-22=2', '19-2=17']
Exploring Operation: 21*17=357, Resulting Numbers: [357]
357,10 unequal: No Solution
Exploring Operation: 21-17=4, Resulting Numbers: [4]
4,10 unequal: No Solution
Exploring Operation: 21+17=38, Resulting Numbers: [38]
38,10 unequal: No Solution
Moving to Node #0,1,0
Current State: 10:[21, 21], Operations: ['24-22=2', '19+2=21']
Exploring Operation: 21-21=0, Resulting Numbers: [0]
0,10 unequal: No Solution
Exploring Operation: 21*21=441, Resulting Numbers: [441]
441,10 unequal: No Solution
Exploring Operation: 21+21=42, Resulting Numbers: [42]
42,10 unequal: No Solution
Exploring Operation: 21/21=1, Resulting Numbers: [1]
1,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 10:[19, 22, 3], Operations: ['24-21=3']
Exploring Operation: 19+3=22, Resulting Numbers: [22, 22]
Generated Node #0,3,0: 10:[22, 22] Operation: 19+3=22
Exploring Operation: 22-19=3, Resulting Numbers: [3, 3]
Generated Node #0,3,1: 10:[3, 3] Operation: 22-19=3
Exploring Operation: 22-3=19, Resulting Numbers: [19, 19]
Generated Node #0,3,2: 10:[19, 19] Operation: 22-3=19
Exploring Operation: 19-3=16, Resulting Numbers: [22, 16]
Generated Node #0,3,3: 10:[22, 16] Operation: 19-3=16
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 10:[3, 3], Operations: ['24-21=3', '22-19=3']
Exploring Operation: 3-3=0, Resulting Numbers: [0]
0,10 unequal: No Solution
Exploring Operation: 3+3=6, Resulting Numbers: [6]
6,10 unequal: No Solution
Exploring Operation: 3/3=1, Resulting Numbers: [1]
1,10 unequal: No Solution
Exploring Operation: 3*3=9, Resulting Numbers: [9]
9,10 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 10:[19, 19], Operations: ['24-21=3', '22-3=19']
Exploring Operation: 19*19=361, Resulting Numbers: [361]
361,10 unequal: No Solution
Exploring Operation: 19/19=1, Resulting Numbers: [1]
1,10 unequal: No Solution
Exploring Operation: 19-19=0, Resulting Numbers: [0]
0,10 unequal: No Solution
Exploring Operation: 19+19=38, Resulting Numbers: [38]
38,10 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 10:[22, 16], Operations: ['24-21=3', '19-3=16']
Exploring Operation: 22*16=352, Resulting Numbers: [352]
352,10 unequal: No Solution
Exploring Operation: 22-16=6, Resulting Numbers: [6]
6,10 unequal: No Solution
Exploring Operation: 22+16=38, Resulting Numbers: [38]
38,10 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 10:[22, 22], Operations: ['24-21=3', '19+3=22']
Exploring Operation: 22-22=0, Resulting Numbers: [0]
0,10 unequal: No Solution
Exploring Operation: 22/22=1, Resulting Numbers: [1]
1,10 unequal: No Solution
Exploring Operation: 22+22=44, Resulting Numbers: [44]
44,10 unequal: No Solution
Exploring Operation: 22*22=484, Resulting Numbers: [484]
484,10 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 10:[22, 21, 5], Operations: ['24-19=5']
Exploring Operation: 22-21=1, Resulting Numbers: [5, 1]
Generated Node #0,2,0: 10:[5, 1] Operation: 22-21=1
Exploring Operation: 22+5=27, Resulting Numbers: [21, 27]
Generated Node #0,2,1: 10:[21, 27] Operation: 22+5=27
Exploring Operation: 22-5=17, Resulting Numbers: [21, 17]
Generated Node #0,2,2: 10:[21, 17] Operation: 22-5=17
Exploring Operation: 21-5=16, Resulting Numbers: [22, 16]
Generated Node #0,2,3: 10:[22, 16] Operation: 21-5=16
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 10:[5, 1], Operations: ['24-19=5', '22-21=1']
Exploring Operation: 5+1=6, Resulting Numbers: [6]
6,10 unequal: No Solution
Exploring Operation: 5/1=5, Resulting Numbers: [5]
5,10 unequal: No Solution
Exploring Operation: 5-1=4, Resulting Numbers: [4]
4,10 unequal: No Solution
Exploring Operation: 5*1=5, Resulting Numbers: [5]
5,10 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 10:[21, 17], Operations: ['24-19=5', '22-5=17']
Exploring Operation: 21*17=357, Resulting Numbers: [357]
357,10 unequal: No Solution
Exploring Operation: 21+17=38, Resulting Numbers: [38]
38,10 unequal: No Solution
Exploring Operation: 21-17=4, Resulting Numbers: [4]
4,10 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 10:[22, 16], Operations: ['24-19=5', '21-5=16']
Exploring Operation: 22-16=6, Resulting Numbers: [6]
6,10 unequal: No Solution
Exploring Operation: 22+16=38, Resulting Numbers: [38]
38,10 unequal: No Solution
Exploring Operation: 22*16=352, Resulting Numbers: [352]
352,10 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 10:[21, 27], Operations: ['24-19=5', '22+5=27']
Exploring Operation: 27-21=6, Resulting Numbers: [6]
6,10 unequal: No Solution
Exploring Operation: 21+27=48, Resulting Numbers: [48]
48,10 unequal: No Solution
Exploring Operation: 21*27=567, Resulting Numbers: [567]
567,10 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 10:[19, 24, 1], Operations: ['22-21=1']
Exploring Operation: 24-19=5, Resulting Numbers: [1, 5]
Generated Node #0,0,0: 10:[1, 5] Operation: 24-19=5
Exploring Operation: 19-1=18, Resulting Numbers: [24, 18]
Generated Node #0,0,1: 10:[24, 18] Operation: 19-1=18
Exploring Operation: 19*1=19, Resulting Numbers: [24, 19]
Generated Node #0,0,2: 10:[24, 19] Operation: 19*1=19
Exploring Operation: 24-1=23, Resulting Numbers: [19, 23]
Generated Node #0,0,3: 10:[19, 23] Operation: 24-1=23
Moving to Node #0,0,0
Current State: 10:[1, 5], Operations: ['22-21=1', '24-19=5']
Exploring Operation: 1*5=5, Resulting Numbers: [5]
5,10 unequal: No Solution
Exploring Operation: 5/1=5, Resulting Numbers: [5]
5,10 unequal: No Solution
Exploring Operation: 1+5=6, Resulting Numbers: [6]
6,10 unequal: No Solution
Exploring Operation: 5-1=4, Resulting Numbers: [4]
4,10 unequal: No Solution
Moving to Node #0,0,3
Current State: 10:[19, 23], Operations: ['22-21=1', '24-1=23']
Exploring Operation: 23-19=4, Resulting Numbers: [4]
4,10 unequal: No Solution
Exploring Operation: 19+23=42, Resulting Numbers: [42]
42,10 unequal: No Solution
Exploring Operation: 19*23=437, Resulting Numbers: [437]
437,10 unequal: No Solution
Moving to Node #0,0,1
Current State: 10:[24, 18], Operations: ['22-21=1', '19-1=18']
Exploring Operation: 24-18=6, Resulting Numbers: [6]
6,10 unequal: No Solution
Exploring Operation: 24+18=42, Resulting Numbers: [42]
42,10 unequal: No Solution
Exploring Operation: 24*18=432, Resulting Numbers: [432]
432,10 unequal: No Solution
Moving to Node #0,0,2
Current State: 10:[24, 19], Operations: ['22-21=1', '19*1=19']
Exploring Operation: 24*19=456, Resulting Numbers: [456]
456,10 unequal: No Solution
Exploring Operation: 24+19=43, Resulting Numbers: [43]
43,10 unequal: No Solution
Exploring Operation: 24-19=5, Resulting Numbers: [5]
5,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
60,
62,
31,
4
] | 37 | [
"62-60=2",
"31+4=35",
"2+35=37"
] | Current State: 37:[60, 62, 31, 4], Operations: []
Exploring Operation: 62-60=2, Resulting Numbers: [31, 4, 2]
Generated Node #2: [31, 4, 2] from Operation: 62-60=2
Current State: 37:[31, 4, 2], Operations: ['62-60=2']
Exploring Operation: 31+4=35, Resulting Numbers: [2, 35]
Generated Node #3: [2, 35] from Operation: 31+4=35
Current State: 37:[2, 35], Operations: ['62-60=2', '31+4=35']
Exploring Operation: 2+35=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[60, 62, 31, 4], Operations: []
Exploring Operation: 60-4=56, Resulting Numbers: [62, 31, 56]
Generated Node #0,0: 37:[62, 31, 56] Operation: 60-4=56
Start Sub Search at level 1: Moving to Node #0,0
Current State: 37:[62, 31, 56], Operations: ['60-4=56']
Exploring Operation: 62-31=31, Resulting Numbers: [56, 31]
Generated Node #0,0,0: 37:[56, 31] Operation: 62-31=31
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 37:[56, 31], Operations: ['60-4=56', '62-31=31']
Exploring Operation: 56-31=25, Resulting Numbers: [25]
25,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
76,
92,
81,
78
] | 70 | [
"81-76=5",
"92-78=14",
"5*14=70"
] | Current State: 70:[76, 92, 81, 78], Operations: []
Exploring Operation: 81-76=5, Resulting Numbers: [92, 78, 5]
Generated Node #2: [92, 78, 5] from Operation: 81-76=5
Current State: 70:[92, 78, 5], Operations: ['81-76=5']
Exploring Operation: 92-78=14, Resulting Numbers: [5, 14]
Generated Node #3: [5, 14] from Operation: 92-78=14
Current State: 70:[5, 14], Operations: ['81-76=5', '92-78=14']
Exploring Operation: 5*14=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[76, 92, 81, 78], Operations: []
Exploring Operation: 92-76=16, Resulting Numbers: [81, 78, 16]
Generated Node #0,0: 70:[81, 78, 16] Operation: 92-76=16
Exploring Operation: 92-78=14, Resulting Numbers: [76, 81, 14]
Generated Node #0,1: 70:[76, 81, 14] Operation: 92-78=14
Exploring Operation: 81-78=3, Resulting Numbers: [76, 92, 3]
Generated Node #0,2: 70:[76, 92, 3] Operation: 81-78=3
Exploring Operation: 92-81=11, Resulting Numbers: [76, 78, 11]
Generated Node #0,3: 70:[76, 78, 11] Operation: 92-81=11
Moving to Node #0,3
Current State: 70:[76, 78, 11], Operations: ['92-81=11']
Exploring Operation: 76+11=87, Resulting Numbers: [78, 87]
Generated Node #0,3,0: 70:[78, 87] Operation: 76+11=87
Exploring Operation: 76-11=65, Resulting Numbers: [78, 65]
Generated Node #0,3,1: 70:[78, 65] Operation: 76-11=65
Exploring Operation: 78-11=67, Resulting Numbers: [76, 67]
Generated Node #0,3,2: 70:[76, 67] Operation: 78-11=67
Exploring Operation: 78-76=2, Resulting Numbers: [11, 2]
Generated Node #0,3,3: 70:[11, 2] Operation: 78-76=2
Moving to Node #0,1
Current State: 70:[76, 81, 14], Operations: ['92-78=14']
Exploring Operation: 76-14=62, Resulting Numbers: [81, 62]
Generated Node #0,1,0: 70:[81, 62] Operation: 76-14=62
Exploring Operation: 81-14=67, Resulting Numbers: [76, 67]
Generated Node #0,1,1: 70:[76, 67] Operation: 81-14=67
Exploring Operation: 81-76=5, Resulting Numbers: [14, 5]
Generated Node #0,1,2: 70:[14, 5] Operation: 81-76=5
Exploring Operation: 76+14=90, Resulting Numbers: [81, 90]
Generated Node #0,1,3: 70:[81, 90] Operation: 76+14=90
Moving to Node #0,0
Current State: 70:[81, 78, 16], Operations: ['92-76=16']
Exploring Operation: 81+16=97, Resulting Numbers: [78, 97]
Generated Node #0,0,0: 70:[78, 97] Operation: 81+16=97
Exploring Operation: 81-16=65, Resulting Numbers: [78, 65]
Generated Node #0,0,1: 70:[78, 65] Operation: 81-16=65
Exploring Operation: 78-16=62, Resulting Numbers: [81, 62]
Generated Node #0,0,2: 70:[81, 62] Operation: 78-16=62
Exploring Operation: 81-78=3, Resulting Numbers: [16, 3]
Generated Node #0,0,3: 70:[16, 3] Operation: 81-78=3
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 70:[16, 3], Operations: ['92-76=16', '81-78=3']
Exploring Operation: 16-3=13, Resulting Numbers: [13]
13,70 unequal: No Solution
Exploring Operation: 16+3=19, Resulting Numbers: [19]
19,70 unequal: No Solution
Exploring Operation: 16*3=48, Resulting Numbers: [48]
48,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 70:[78, 65], Operations: ['92-76=16', '81-16=65']
Exploring Operation: 78-65=13, Resulting Numbers: [13]
13,70 unequal: No Solution
Exploring Operation: 78*65=5070, Resulting Numbers: [5070]
5070,70 unequal: No Solution
Exploring Operation: 78+65=143, Resulting Numbers: [143]
143,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 70:[81, 62], Operations: ['92-76=16', '78-16=62']
Exploring Operation: 81-62=19, Resulting Numbers: [19]
19,70 unequal: No Solution
Exploring Operation: 81+62=143, Resulting Numbers: [143]
143,70 unequal: No Solution
Exploring Operation: 81*62=5022, Resulting Numbers: [5022]
5022,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 70:[78, 97], Operations: ['92-76=16', '81+16=97']
Exploring Operation: 78+97=175, Resulting Numbers: [175]
175,70 unequal: No Solution
Exploring Operation: 78*97=7566, Resulting Numbers: [7566]
7566,70 unequal: No Solution
Exploring Operation: 97-78=19, Resulting Numbers: [19]
19,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 70:[76, 92, 3], Operations: ['81-78=3']
Exploring Operation: 76+3=79, Resulting Numbers: [92, 79]
Generated Node #0,2,0: 70:[92, 79] Operation: 76+3=79
Exploring Operation: 76-3=73, Resulting Numbers: [92, 73]
Generated Node #0,2,1: 70:[92, 73] Operation: 76-3=73
Exploring Operation: 92-76=16, Resulting Numbers: [3, 16]
Generated Node #0,2,2: 70:[3, 16] Operation: 92-76=16
Exploring Operation: 92-3=89, Resulting Numbers: [76, 89]
Generated Node #0,2,3: 70:[76, 89] Operation: 92-3=89
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 70:[3, 16], Operations: ['81-78=3', '92-76=16']
Exploring Operation: 3+16=19, Resulting Numbers: [19]
19,70 unequal: No Solution
Exploring Operation: 16-3=13, Resulting Numbers: [13]
13,70 unequal: No Solution
Exploring Operation: 3*16=48, Resulting Numbers: [48]
48,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 70:[92, 73], Operations: ['81-78=3', '76-3=73']
Exploring Operation: 92+73=165, Resulting Numbers: [165]
165,70 unequal: No Solution
Exploring Operation: 92-73=19, Resulting Numbers: [19]
19,70 unequal: No Solution
Exploring Operation: 92*73=6716, Resulting Numbers: [6716]
6716,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 70:[76, 89], Operations: ['81-78=3', '92-3=89']
Exploring Operation: 76*89=6764, Resulting Numbers: [6764]
6764,70 unequal: No Solution
Exploring Operation: 76+89=165, Resulting Numbers: [165]
165,70 unequal: No Solution
Exploring Operation: 89-76=13, Resulting Numbers: [13]
13,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 70:[92, 79], Operations: ['81-78=3', '76+3=79']
Exploring Operation: 92+79=171, Resulting Numbers: [171]
171,70 unequal: No Solution
Exploring Operation: 92-79=13, Resulting Numbers: [13]
13,70 unequal: No Solution
Exploring Operation: 92*79=7268, Resulting Numbers: [7268]
7268,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,2
Current State: 70:[14, 5], Operations: ['92-78=14', '81-76=5']
Exploring Operation: 14-5=9, Resulting Numbers: [9]
9,70 unequal: No Solution
Exploring Operation: 14*5=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Moving to Node #0
Current State: 70:[76, 92, 81, 78], Operations: []
Exploring Operation: 92-78=14, Resulting Numbers: [76, 81, 14]
Generated Node #0,1: 70:[76, 81, 14] Operation: 92-78=14
Moving to Node #0,1
Current State: 70:[76, 81, 14], Operations: ['92-78=14']
Exploring Operation: 81-76=5, Resulting Numbers: [14, 5]
Generated Node #0,1,2: 70:[14, 5] Operation: 81-76=5
Moving to Node #0,1,2
Current State: 70:[14, 5], Operations: ['92-78=14', '81-76=5']
Exploring Operation: 14*5=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 0.956597 | hs_4 | mult_heuristic |
[
25,
65,
3,
65
] | 55 | [
"65-25=40",
"3*40=120",
"120-65=55"
] | Current State: 55:[25, 65, 3, 65], Operations: []
Exploring Operation: 65-25=40, Resulting Numbers: [3, 40]
Generated Node #2: [3, 40] from Operation: 65-25=40
Current State: 55:[3, 40], Operations: ['65-25=40']
Exploring Operation: 3*40=120, Resulting Numbers: [120]
120,55 equal: Goal Reached
Exploring Operation: 120-65=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[25, 65, 3, 65], Operations: []
Exploring Operation: 65/65=1, Resulting Numbers: [25, 3, 1]
Generated Node #0,0: 55:[25, 3, 1] Operation: 65/65=1
Start Sub Search at level 1: Moving to Node #0,0
Current State: 55:[25, 3, 1], Operations: ['65/65=1']
Exploring Operation: 25-3=22, Resulting Numbers: [1, 22]
Generated Node #0,0,0: 55:[1, 22] Operation: 25-3=22
Moving to Node #0,0,0
Current State: 55:[1, 22], Operations: ['65/65=1', '25-3=22']
Exploring Operation: 22-1=21, Resulting Numbers: [21]
21,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
9,
5,
44,
61
] | 67 | [
"9*44=396",
"396-61=335",
"335/5=67"
] | Current State: 67:[9, 5, 44, 61], Operations: []
Exploring Operation: 9*44=396, Resulting Numbers: [5, 61, 396]
Generated Node #2: [5, 61, 396] from Operation: 9*44=396
Current State: 67:[5, 61, 396], Operations: ['9*44=396']
Exploring Operation: 396-61=335, Resulting Numbers: [5, 335]
Generated Node #3: [5, 335] from Operation: 396-61=335
Current State: 67:[5, 335], Operations: ['9*44=396', '396-61=335']
Exploring Operation: 335/5=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[9, 5, 44, 61], Operations: []
Exploring Operation: 9+5=14, Resulting Numbers: [44, 61, 14]
Generated Node #0,0: 67:[44, 61, 14] Operation: 9+5=14
Exploring Operation: 5+44=49, Resulting Numbers: [9, 61, 49]
Generated Node #0,1: 67:[9, 61, 49] Operation: 5+44=49
Exploring Operation: 9+44=53, Resulting Numbers: [5, 61, 53]
Generated Node #0,2: 67:[5, 61, 53] Operation: 9+44=53
Exploring Operation: 9*5=45, Resulting Numbers: [44, 61, 45]
Generated Node #0,3: 67:[44, 61, 45] Operation: 9*5=45
Start Sub Search at level 1: Moving to Node #0,3
Current State: 67:[44, 61, 45], Operations: ['9*5=45']
Exploring Operation: 44+61=105, Resulting Numbers: [45, 105]
Generated Node #0,3,0: 67:[45, 105] Operation: 44+61=105
Exploring Operation: 44+45=89, Resulting Numbers: [61, 89]
Generated Node #0,3,1: 67:[61, 89] Operation: 44+45=89
Exploring Operation: 61-44=17, Resulting Numbers: [45, 17]
Generated Node #0,3,2: 67:[45, 17] Operation: 61-44=17
Exploring Operation: 61+45=106, Resulting Numbers: [44, 106]
Generated Node #0,3,3: 67:[44, 106] Operation: 61+45=106
Moving to Node #0,3,1
Current State: 67:[61, 89], Operations: ['9*5=45', '44+45=89']
Exploring Operation: 61*89=5429, Resulting Numbers: [5429]
5429,67 unequal: No Solution
Exploring Operation: 61+89=150, Resulting Numbers: [150]
150,67 unequal: No Solution
Exploring Operation: 89-61=28, Resulting Numbers: [28]
28,67 unequal: No Solution
Moving to Node #0,3,0
Current State: 67:[45, 105], Operations: ['9*5=45', '44+61=105']
Exploring Operation: 105-45=60, Resulting Numbers: [60]
60,67 unequal: No Solution
Exploring Operation: 45+105=150, Resulting Numbers: [150]
150,67 unequal: No Solution
Exploring Operation: 45*105=4725, Resulting Numbers: [4725]
4725,67 unequal: No Solution
Moving to Node #0,3,3
Current State: 67:[44, 106], Operations: ['9*5=45', '61+45=106']
Exploring Operation: 106-44=62, Resulting Numbers: [62]
62,67 unequal: No Solution
Exploring Operation: 44+106=150, Resulting Numbers: [150]
150,67 unequal: No Solution
Exploring Operation: 44*106=4664, Resulting Numbers: [4664]
4664,67 unequal: No Solution
Moving to Node #0,3,2
Current State: 67:[45, 17], Operations: ['9*5=45', '61-44=17']
Exploring Operation: 45-17=28, Resulting Numbers: [28]
28,67 unequal: No Solution
Exploring Operation: 45+17=62, Resulting Numbers: [62]
62,67 unequal: No Solution
Exploring Operation: 45*17=765, Resulting Numbers: [765]
765,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 67:[44, 61, 14], Operations: ['9+5=14']
Exploring Operation: 61+14=75, Resulting Numbers: [44, 75]
Generated Node #0,0,0: 67:[44, 75] Operation: 61+14=75
Exploring Operation: 44-14=30, Resulting Numbers: [61, 30]
Generated Node #0,0,1: 67:[61, 30] Operation: 44-14=30
Exploring Operation: 44+14=58, Resulting Numbers: [61, 58]
Generated Node #0,0,2: 67:[61, 58] Operation: 44+14=58
Exploring Operation: 61-14=47, Resulting Numbers: [44, 47]
Generated Node #0,0,3: 67:[44, 47] Operation: 61-14=47
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 67:[61, 58], Operations: ['9+5=14', '44+14=58']
Exploring Operation: 61*58=3538, Resulting Numbers: [3538]
3538,67 unequal: No Solution
Exploring Operation: 61+58=119, Resulting Numbers: [119]
119,67 unequal: No Solution
Exploring Operation: 61-58=3, Resulting Numbers: [3]
3,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 67:[44, 75], Operations: ['9+5=14', '61+14=75']
Exploring Operation: 75-44=31, Resulting Numbers: [31]
31,67 unequal: No Solution
Exploring Operation: 44*75=3300, Resulting Numbers: [3300]
3300,67 unequal: No Solution
Exploring Operation: 44+75=119, Resulting Numbers: [119]
119,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 67:[61, 30], Operations: ['9+5=14', '44-14=30']
Exploring Operation: 61+30=91, Resulting Numbers: [91]
91,67 unequal: No Solution
Exploring Operation: 61-30=31, Resulting Numbers: [31]
31,67 unequal: No Solution
Exploring Operation: 61*30=1830, Resulting Numbers: [1830]
1830,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 67:[44, 47], Operations: ['9+5=14', '61-14=47']
Exploring Operation: 44*47=2068, Resulting Numbers: [2068]
2068,67 unequal: No Solution
Exploring Operation: 47-44=3, Resulting Numbers: [3]
3,67 unequal: No Solution
Exploring Operation: 44+47=91, Resulting Numbers: [91]
91,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 67:[9, 61, 49], Operations: ['5+44=49']
Exploring Operation: 61-9=52, Resulting Numbers: [49, 52]
Generated Node #0,1,0: 67:[49, 52] Operation: 61-9=52
Exploring Operation: 49-9=40, Resulting Numbers: [61, 40]
Generated Node #0,1,1: 67:[61, 40] Operation: 49-9=40
Exploring Operation: 9+61=70, Resulting Numbers: [49, 70]
Generated Node #0,1,2: 67:[49, 70] Operation: 9+61=70
Exploring Operation: 9+49=58, Resulting Numbers: [61, 58]
Generated Node #0,1,3: 67:[61, 58] Operation: 9+49=58
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 67:[61, 58], Operations: ['5+44=49', '9+49=58']
Exploring Operation: 61*58=3538, Resulting Numbers: [3538]
3538,67 unequal: No Solution
Exploring Operation: 61+58=119, Resulting Numbers: [119]
119,67 unequal: No Solution
Exploring Operation: 61-58=3, Resulting Numbers: [3]
3,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 67:[49, 70], Operations: ['5+44=49', '9+61=70']
Exploring Operation: 49+70=119, Resulting Numbers: [119]
119,67 unequal: No Solution
Exploring Operation: 70-49=21, Resulting Numbers: [21]
21,67 unequal: No Solution
Exploring Operation: 49*70=3430, Resulting Numbers: [3430]
3430,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 67:[49, 52], Operations: ['5+44=49', '61-9=52']
Exploring Operation: 52-49=3, Resulting Numbers: [3]
3,67 unequal: No Solution
Exploring Operation: 49+52=101, Resulting Numbers: [101]
101,67 unequal: No Solution
Exploring Operation: 49*52=2548, Resulting Numbers: [2548]
2548,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 67:[61, 40], Operations: ['5+44=49', '49-9=40']
Exploring Operation: 61+40=101, Resulting Numbers: [101]
101,67 unequal: No Solution
Exploring Operation: 61*40=2440, Resulting Numbers: [2440]
2440,67 unequal: No Solution
Exploring Operation: 61-40=21, Resulting Numbers: [21]
21,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 67:[5, 61, 53], Operations: ['9+44=53']
Exploring Operation: 5+61=66, Resulting Numbers: [53, 66]
Generated Node #0,2,0: 67:[53, 66] Operation: 5+61=66
Exploring Operation: 53-5=48, Resulting Numbers: [61, 48]
Generated Node #0,2,1: 67:[61, 48] Operation: 53-5=48
Exploring Operation: 61-5=56, Resulting Numbers: [53, 56]
Generated Node #0,2,2: 67:[53, 56] Operation: 61-5=56
Exploring Operation: 5+53=58, Resulting Numbers: [61, 58]
Generated Node #0,2,3: 67:[61, 58] Operation: 5+53=58
Moving to Node #0,2,0
Current State: 67:[53, 66], Operations: ['9+44=53', '5+61=66']
Exploring Operation: 53*66=3498, Resulting Numbers: [3498]
3498,67 unequal: No Solution
Exploring Operation: 66-53=13, Resulting Numbers: [13]
13,67 unequal: No Solution
Exploring Operation: 53+66=119, Resulting Numbers: [119]
119,67 unequal: No Solution
Moving to Node #0,2,3
Current State: 67:[61, 58], Operations: ['9+44=53', '5+53=58']
Exploring Operation: 61*58=3538, Resulting Numbers: [3538]
3538,67 unequal: No Solution
Exploring Operation: 61+58=119, Resulting Numbers: [119]
119,67 unequal: No Solution
Exploring Operation: 61-58=3, Resulting Numbers: [3]
3,67 unequal: No Solution
Moving to Node #0,2,2
Current State: 67:[53, 56], Operations: ['9+44=53', '61-5=56']
Exploring Operation: 56-53=3, Resulting Numbers: [3]
3,67 unequal: No Solution
Exploring Operation: 53+56=109, Resulting Numbers: [109]
109,67 unequal: No Solution
Exploring Operation: 53*56=2968, Resulting Numbers: [2968]
2968,67 unequal: No Solution
Moving to Node #0,2,1
Current State: 67:[61, 48], Operations: ['9+44=53', '53-5=48']
Exploring Operation: 61*48=2928, Resulting Numbers: [2928]
2928,67 unequal: No Solution
Exploring Operation: 61+48=109, Resulting Numbers: [109]
109,67 unequal: No Solution
Exploring Operation: 61-48=13, Resulting Numbers: [13]
13,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
87,
19,
1,
95
] | 26 | [
"87-19=68",
"95-1=94",
"94-68=26"
] | Current State: 26:[87, 19, 1, 95], Operations: []
Exploring Operation: 87-19=68, Resulting Numbers: [1, 95, 68]
Generated Node #2: [1, 95, 68] from Operation: 87-19=68
Current State: 26:[1, 95, 68], Operations: ['87-19=68']
Exploring Operation: 95-1=94, Resulting Numbers: [68, 94]
Generated Node #3: [68, 94] from Operation: 95-1=94
Current State: 26:[68, 94], Operations: ['87-19=68', '95-1=94']
Exploring Operation: 94-68=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[87, 19, 1, 95], Operations: []
Exploring Operation: 95/19=5, Resulting Numbers: [87, 1, 5]
Generated Node #0,0: 26:[87, 1, 5] Operation: 95/19=5
Exploring Operation: 87-19=68, Resulting Numbers: [1, 95, 68]
Generated Node #0,1: 26:[1, 95, 68] Operation: 87-19=68
Exploring Operation: 95-87=8, Resulting Numbers: [19, 1, 8]
Generated Node #0,2: 26:[19, 1, 8] Operation: 95-87=8
Exploring Operation: 95-19=76, Resulting Numbers: [87, 1, 76]
Generated Node #0,3: 26:[87, 1, 76] Operation: 95-19=76
Start Sub Search at level 1: Moving to Node #0,2
Current State: 26:[19, 1, 8], Operations: ['95-87=8']
Exploring Operation: 19-8=11, Resulting Numbers: [1, 11]
Generated Node #0,2,0: 26:[1, 11] Operation: 19-8=11
Exploring Operation: 19+8=27, Resulting Numbers: [1, 27]
Generated Node #0,2,1: 26:[1, 27] Operation: 19+8=27
Exploring Operation: 19-1=18, Resulting Numbers: [8, 18]
Generated Node #0,2,2: 26:[8, 18] Operation: 19-1=18
Exploring Operation: 1+8=9, Resulting Numbers: [19, 9]
Generated Node #0,2,3: 26:[19, 9] Operation: 1+8=9
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 26:[1, 27], Operations: ['95-87=8', '19+8=27']
Exploring Operation: 27-1=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Moving to Node #0
Current State: 26:[87, 19, 1, 95], Operations: []
Exploring Operation: 95-87=8, Resulting Numbers: [19, 1, 8]
Generated Node #0,2: 26:[19, 1, 8] Operation: 95-87=8
Moving to Node #0,2
Current State: 26:[19, 1, 8], Operations: ['95-87=8']
Exploring Operation: 19+8=27, Resulting Numbers: [1, 27]
Generated Node #0,2,1: 26:[1, 27] Operation: 19+8=27
Moving to Node #0,2,1
Current State: 26:[1, 27], Operations: ['95-87=8', '19+8=27']
Exploring Operation: 27-1=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 | hs_4 | mult_heuristic |
[
83,
14,
88,
3
] | 65 | [
"83-14=69",
"69/3=23",
"88-23=65"
] | Current State: 65:[83, 14, 88, 3], Operations: []
Exploring Operation: 83-14=69, Resulting Numbers: [88, 3, 69]
Generated Node #2: [88, 3, 69] from Operation: 83-14=69
Current State: 65:[88, 3, 69], Operations: ['83-14=69']
Exploring Operation: 69/3=23, Resulting Numbers: [88, 23]
Generated Node #3: [88, 23] from Operation: 69/3=23
Current State: 65:[88, 23], Operations: ['83-14=69', '69/3=23']
Exploring Operation: 88-23=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[83, 14, 88, 3], Operations: []
Exploring Operation: 83-3=80, Resulting Numbers: [14, 88, 80]
Generated Node #0,0: 65:[14, 88, 80] Operation: 83-3=80
Exploring Operation: 83-14=69, Resulting Numbers: [88, 3, 69]
Generated Node #0,1: 65:[88, 3, 69] Operation: 83-14=69
Exploring Operation: 88-3=85, Resulting Numbers: [83, 14, 85]
Generated Node #0,2: 65:[83, 14, 85] Operation: 88-3=85
Exploring Operation: 88-14=74, Resulting Numbers: [83, 3, 74]
Generated Node #0,3: 65:[83, 3, 74] Operation: 88-14=74
Exploring Operation: 88-83=5, Resulting Numbers: [14, 3, 5]
Generated Node #0,4: 65:[14, 3, 5] Operation: 88-83=5
Start Sub Search at level 1: Moving to Node #0,4
Current State: 65:[14, 3, 5], Operations: ['88-83=5']
Exploring Operation: 14-3=11, Resulting Numbers: [5, 11]
Generated Node #0,4,0: 65:[5, 11] Operation: 14-3=11
Exploring Operation: 3+5=8, Resulting Numbers: [14, 8]
Generated Node #0,4,1: 65:[14, 8] Operation: 3+5=8
Exploring Operation: 3*5=15, Resulting Numbers: [14, 15]
Generated Node #0,4,2: 65:[14, 15] Operation: 3*5=15
Exploring Operation: 5-3=2, Resulting Numbers: [14, 2]
Generated Node #0,4,3: 65:[14, 2] Operation: 5-3=2
Exploring Operation: 14+3=17, Resulting Numbers: [5, 17]
Generated Node #0,4,4: 65:[5, 17] Operation: 14+3=17
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 65:[5, 11], Operations: ['88-83=5', '14-3=11']
Exploring Operation: 11-5=6, Resulting Numbers: [6]
6,65 unequal: No Solution
Exploring Operation: 5+11=16, Resulting Numbers: [16]
16,65 unequal: No Solution
Exploring Operation: 5*11=55, Resulting Numbers: [55]
55,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 65:[14, 15], Operations: ['88-83=5', '3*5=15']
Exploring Operation: 14*15=210, Resulting Numbers: [210]
210,65 unequal: No Solution
Exploring Operation: 14+15=29, Resulting Numbers: [29]
29,65 unequal: No Solution
Exploring Operation: 15-14=1, Resulting Numbers: [1]
1,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 65:[14, 8], Operations: ['88-83=5', '3+5=8']
Exploring Operation: 14+8=22, Resulting Numbers: [22]
22,65 unequal: No Solution
Exploring Operation: 14-8=6, Resulting Numbers: [6]
6,65 unequal: No Solution
Exploring Operation: 14*8=112, Resulting Numbers: [112]
112,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 65:[14, 2], Operations: ['88-83=5', '5-3=2']
Exploring Operation: 14-2=12, Resulting Numbers: [12]
12,65 unequal: No Solution
Exploring Operation: 14/2=7, Resulting Numbers: [7]
7,65 unequal: No Solution
Exploring Operation: 14*2=28, Resulting Numbers: [28]
28,65 unequal: No Solution
Exploring Operation: 14+2=16, Resulting Numbers: [16]
16,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 65:[5, 17], Operations: ['88-83=5', '14+3=17']
Exploring Operation: 17-5=12, Resulting Numbers: [12]
12,65 unequal: No Solution
Exploring Operation: 5*17=85, Resulting Numbers: [85]
85,65 unequal: No Solution
Exploring Operation: 5+17=22, Resulting Numbers: [22]
22,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 65:[88, 3, 69], Operations: ['83-14=69']
Exploring Operation: 88-69=19, Resulting Numbers: [3, 19]
Generated Node #0,1,0: 65:[3, 19] Operation: 88-69=19
Exploring Operation: 88+3=91, Resulting Numbers: [69, 91]
Generated Node #0,1,1: 65:[69, 91] Operation: 88+3=91
Exploring Operation: 69-3=66, Resulting Numbers: [88, 66]
Generated Node #0,1,2: 65:[88, 66] Operation: 69-3=66
Exploring Operation: 3+69=72, Resulting Numbers: [88, 72]
Generated Node #0,1,3: 65:[88, 72] Operation: 3+69=72
Exploring Operation: 88-3=85, Resulting Numbers: [69, 85]
Generated Node #0,1,4: 65:[69, 85] Operation: 88-3=85
Moving to Node #0,1,0
Current State: 65:[3, 19], Operations: ['83-14=69', '88-69=19']
Exploring Operation: 3*19=57, Resulting Numbers: [57]
57,65 unequal: No Solution
Exploring Operation: 3+19=22, Resulting Numbers: [22]
22,65 unequal: No Solution
Exploring Operation: 19-3=16, Resulting Numbers: [16]
16,65 unequal: No Solution
Moving to Node #0,1,4
Current State: 65:[69, 85], Operations: ['83-14=69', '88-3=85']
Exploring Operation: 69+85=154, Resulting Numbers: [154]
154,65 unequal: No Solution
Exploring Operation: 85-69=16, Resulting Numbers: [16]
16,65 unequal: No Solution
Exploring Operation: 69*85=5865, Resulting Numbers: [5865]
5865,65 unequal: No Solution
Moving to Node #0,1,2
Current State: 65:[88, 66], Operations: ['83-14=69', '69-3=66']
Exploring Operation: 88+66=154, Resulting Numbers: [154]
154,65 unequal: No Solution
Exploring Operation: 88*66=5808, Resulting Numbers: [5808]
5808,65 unequal: No Solution
Exploring Operation: 88-66=22, Resulting Numbers: [22]
22,65 unequal: No Solution
Moving to Node #0,1,1
Current State: 65:[69, 91], Operations: ['83-14=69', '88+3=91']
Exploring Operation: 91-69=22, Resulting Numbers: [22]
22,65 unequal: No Solution
Exploring Operation: 69*91=6279, Resulting Numbers: [6279]
6279,65 unequal: No Solution
Exploring Operation: 69+91=160, Resulting Numbers: [160]
160,65 unequal: No Solution
Moving to Node #0,1,3
Current State: 65:[88, 72], Operations: ['83-14=69', '3+69=72']
Exploring Operation: 88*72=6336, Resulting Numbers: [6336]
6336,65 unequal: No Solution
Exploring Operation: 88+72=160, Resulting Numbers: [160]
160,65 unequal: No Solution
Exploring Operation: 88-72=16, Resulting Numbers: [16]
16,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 65:[83, 3, 74], Operations: ['88-14=74']
Exploring Operation: 3+74=77, Resulting Numbers: [83, 77]
Generated Node #0,3,0: 65:[83, 77] Operation: 3+74=77
Exploring Operation: 83+3=86, Resulting Numbers: [74, 86]
Generated Node #0,3,1: 65:[74, 86] Operation: 83+3=86
Exploring Operation: 83-74=9, Resulting Numbers: [3, 9]
Generated Node #0,3,2: 65:[3, 9] Operation: 83-74=9
Exploring Operation: 83-3=80, Resulting Numbers: [74, 80]
Generated Node #0,3,3: 65:[74, 80] Operation: 83-3=80
Exploring Operation: 74-3=71, Resulting Numbers: [83, 71]
Generated Node #0,3,4: 65:[83, 71] Operation: 74-3=71
Moving to Node #0,3,2
Current State: 65:[3, 9], Operations: ['88-14=74', '83-74=9']
Exploring Operation: 3*9=27, Resulting Numbers: [27]
27,65 unequal: No Solution
Exploring Operation: 3+9=12, Resulting Numbers: [12]
12,65 unequal: No Solution
Exploring Operation: 9/3=3, Resulting Numbers: [3]
3,65 unequal: No Solution
Exploring Operation: 9-3=6, Resulting Numbers: [6]
6,65 unequal: No Solution
Moving to Node #0,3,4
Current State: 65:[83, 71], Operations: ['88-14=74', '74-3=71']
Exploring Operation: 83*71=5893, Resulting Numbers: [5893]
5893,65 unequal: No Solution
Exploring Operation: 83-71=12, Resulting Numbers: [12]
12,65 unequal: No Solution
Exploring Operation: 83+71=154, Resulting Numbers: [154]
154,65 unequal: No Solution
Moving to Node #0,3,3
Current State: 65:[74, 80], Operations: ['88-14=74', '83-3=80']
Exploring Operation: 74+80=154, Resulting Numbers: [154]
154,65 unequal: No Solution
Exploring Operation: 80-74=6, Resulting Numbers: [6]
6,65 unequal: No Solution
Exploring Operation: 74*80=5920, Resulting Numbers: [5920]
5920,65 unequal: No Solution
Moving to Node #0,3,0
Current State: 65:[83, 77], Operations: ['88-14=74', '3+74=77']
Exploring Operation: 83*77=6391, Resulting Numbers: [6391]
6391,65 unequal: No Solution
Exploring Operation: 83+77=160, Resulting Numbers: [160]
160,65 unequal: No Solution
Exploring Operation: 83-77=6, Resulting Numbers: [6]
6,65 unequal: No Solution
Moving to Node #0,3,1
Current State: 65:[74, 86], Operations: ['88-14=74', '83+3=86']
Exploring Operation: 74+86=160, Resulting Numbers: [160]
160,65 unequal: No Solution
Exploring Operation: 74*86=6364, Resulting Numbers: [6364]
6364,65 unequal: No Solution
Exploring Operation: 86-74=12, Resulting Numbers: [12]
12,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 65:[14, 88, 80], Operations: ['83-3=80']
Exploring Operation: 88-14=74, Resulting Numbers: [80, 74]
Generated Node #0,0,0: 65:[80, 74] Operation: 88-14=74
Exploring Operation: 80-14=66, Resulting Numbers: [88, 66]
Generated Node #0,0,1: 65:[88, 66] Operation: 80-14=66
Exploring Operation: 14+88=102, Resulting Numbers: [80, 102]
Generated Node #0,0,2: 65:[80, 102] Operation: 14+88=102
Exploring Operation: 14+80=94, Resulting Numbers: [88, 94]
Generated Node #0,0,3: 65:[88, 94] Operation: 14+80=94
Exploring Operation: 88-80=8, Resulting Numbers: [14, 8]
Generated Node #0,0,4: 65:[14, 8] Operation: 88-80=8
Moving to Node #0,0,4
Current State: 65:[14, 8], Operations: ['83-3=80', '88-80=8']
Exploring Operation: 14+8=22, Resulting Numbers: [22]
22,65 unequal: No Solution
Exploring Operation: 14*8=112, Resulting Numbers: [112]
112,65 unequal: No Solution
Exploring Operation: 14-8=6, Resulting Numbers: [6]
6,65 unequal: No Solution
Moving to Node #0,0,1
Current State: 65:[88, 66], Operations: ['83-3=80', '80-14=66']
Exploring Operation: 88*66=5808, Resulting Numbers: [5808]
5808,65 unequal: No Solution
Exploring Operation: 88-66=22, Resulting Numbers: [22]
22,65 unequal: No Solution
Exploring Operation: 88+66=154, Resulting Numbers: [154]
154,65 unequal: No Solution
Moving to Node #0,0,0
Current State: 65:[80, 74], Operations: ['83-3=80', '88-14=74']
Exploring Operation: 80+74=154, Resulting Numbers: [154]
154,65 unequal: No Solution
Exploring Operation: 80-74=6, Resulting Numbers: [6]
6,65 unequal: No Solution
Exploring Operation: 80*74=5920, Resulting Numbers: [5920]
5920,65 unequal: No Solution
Moving to Node #0,0,2
Current State: 65:[80, 102], Operations: ['83-3=80', '14+88=102']
Exploring Operation: 102-80=22, Resulting Numbers: [22]
22,65 unequal: No Solution
Exploring Operation: 80*102=8160, Resulting Numbers: [8160]
8160,65 unequal: No Solution
Exploring Operation: 80+102=182, Resulting Numbers: [182]
182,65 unequal: No Solution
Moving to Node #0,0,3
Current State: 65:[88, 94], Operations: ['83-3=80', '14+80=94']
Exploring Operation: 88+94=182, Resulting Numbers: [182]
182,65 unequal: No Solution
Exploring Operation: 94-88=6, Resulting Numbers: [6]
6,65 unequal: No Solution
Exploring Operation: 88*94=8272, Resulting Numbers: [8272]
8272,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 65:[83, 14, 85], Operations: ['88-3=85']
Exploring Operation: 85-14=71, Resulting Numbers: [83, 71]
Generated Node #0,2,0: 65:[83, 71] Operation: 85-14=71
Exploring Operation: 14+85=99, Resulting Numbers: [83, 99]
Generated Node #0,2,1: 65:[83, 99] Operation: 14+85=99
Exploring Operation: 83+14=97, Resulting Numbers: [85, 97]
Generated Node #0,2,2: 65:[85, 97] Operation: 83+14=97
Exploring Operation: 85-83=2, Resulting Numbers: [14, 2]
Generated Node #0,2,3: 65:[14, 2] Operation: 85-83=2
Exploring Operation: 83-14=69, Resulting Numbers: [85, 69]
Generated Node #0,2,4: 65:[85, 69] Operation: 83-14=69
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 65:[14, 2], Operations: ['88-3=85', '85-83=2']
Exploring Operation: 14+2=16, Resulting Numbers: [16]
16,65 unequal: No Solution
Exploring Operation: 14*2=28, Resulting Numbers: [28]
28,65 unequal: No Solution
Exploring Operation: 14/2=7, Resulting Numbers: [7]
7,65 unequal: No Solution
Exploring Operation: 14-2=12, Resulting Numbers: [12]
12,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 65:[83, 71], Operations: ['88-3=85', '85-14=71']
Exploring Operation: 83+71=154, Resulting Numbers: [154]
154,65 unequal: No Solution
Exploring Operation: 83*71=5893, Resulting Numbers: [5893]
5893,65 unequal: No Solution
Exploring Operation: 83-71=12, Resulting Numbers: [12]
12,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 65:[85, 69], Operations: ['88-3=85', '83-14=69']
Exploring Operation: 85+69=154, Resulting Numbers: [154]
154,65 unequal: No Solution
Exploring Operation: 85-69=16, Resulting Numbers: [16]
16,65 unequal: No Solution
Exploring Operation: 85*69=5865, Resulting Numbers: [5865]
5865,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 65:[83, 99], Operations: ['88-3=85', '14+85=99']
Exploring Operation: 83*99=8217, Resulting Numbers: [8217]
8217,65 unequal: No Solution
Exploring Operation: 99-83=16, Resulting Numbers: [16]
16,65 unequal: No Solution
Exploring Operation: 83+99=182, Resulting Numbers: [182]
182,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 65:[85, 97], Operations: ['88-3=85', '83+14=97']
Exploring Operation: 97-85=12, Resulting Numbers: [12]
12,65 unequal: No Solution
Exploring Operation: 85*97=8245, Resulting Numbers: [8245]
8245,65 unequal: No Solution
Exploring Operation: 85+97=182, Resulting Numbers: [182]
182,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
68,
42,
42,
54
] | 68 | [
"42-42=0",
"54*0=0",
"68+0=68"
] | Current State: 68:[68, 42, 42, 54], Operations: []
Exploring Operation: 42-42=0, Resulting Numbers: [68, 54, 0]
Generated Node #2: [68, 54, 0] from Operation: 42-42=0
Current State: 68:[68, 54, 0], Operations: ['42-42=0']
Exploring Operation: 54*0=0, Resulting Numbers: [68, 0]
Generated Node #3: [68, 0] from Operation: 54*0=0
Current State: 68:[68, 0], Operations: ['42-42=0', '54*0=0']
Exploring Operation: 68+0=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[68, 42, 42, 54], Operations: []
Exploring Operation: 42-42=0, Resulting Numbers: [68, 54, 0]
Generated Node #0,0: 68:[68, 54, 0] Operation: 42-42=0
Exploring Operation: 54-42=12, Resulting Numbers: [68, 42, 12]
Generated Node #0,1: 68:[68, 42, 12] Operation: 54-42=12
Exploring Operation: 42/42=1, Resulting Numbers: [68, 54, 1]
Generated Node #0,2: 68:[68, 54, 1] Operation: 42/42=1
Exploring Operation: 54-42=12, Resulting Numbers: [68, 42, 12]
Generated Node #0,3: 68:[68, 42, 12] Operation: 54-42=12
Moving to Node #0,1
Current State: 68:[68, 42, 12], Operations: ['54-42=12']
Exploring Operation: 68-42=26, Resulting Numbers: [12, 26]
Generated Node #0,1,0: 68:[12, 26] Operation: 68-42=26
Exploring Operation: 68+12=80, Resulting Numbers: [42, 80]
Generated Node #0,1,1: 68:[42, 80] Operation: 68+12=80
Exploring Operation: 42+12=54, Resulting Numbers: [68, 54]
Generated Node #0,1,2: 68:[68, 54] Operation: 42+12=54
Exploring Operation: 42-12=30, Resulting Numbers: [68, 30]
Generated Node #0,1,3: 68:[68, 30] Operation: 42-12=30
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 68:[68, 30], Operations: ['54-42=12', '42-12=30']
Exploring Operation: 68*30=2040, Resulting Numbers: [2040]
2040,68 unequal: No Solution
Exploring Operation: 68-30=38, Resulting Numbers: [38]
38,68 unequal: No Solution
Exploring Operation: 68+30=98, Resulting Numbers: [98]
98,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 68:[12, 26], Operations: ['54-42=12', '68-42=26']
Exploring Operation: 26-12=14, Resulting Numbers: [14]
14,68 unequal: No Solution
Exploring Operation: 12+26=38, Resulting Numbers: [38]
38,68 unequal: No Solution
Exploring Operation: 12*26=312, Resulting Numbers: [312]
312,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 68:[68, 54], Operations: ['54-42=12', '42+12=54']
Exploring Operation: 68-54=14, Resulting Numbers: [14]
14,68 unequal: No Solution
Exploring Operation: 68*54=3672, Resulting Numbers: [3672]
3672,68 unequal: No Solution
Exploring Operation: 68+54=122, Resulting Numbers: [122]
122,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 68:[42, 80], Operations: ['54-42=12', '68+12=80']
Exploring Operation: 42+80=122, Resulting Numbers: [122]
122,68 unequal: No Solution
Exploring Operation: 42*80=3360, Resulting Numbers: [3360]
3360,68 unequal: No Solution
Exploring Operation: 80-42=38, Resulting Numbers: [38]
38,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 68:[68, 42, 12], Operations: ['54-42=12']
Exploring Operation: 42+12=54, Resulting Numbers: [68, 54]
Generated Node #0,3,0: 68:[68, 54] Operation: 42+12=54
Exploring Operation: 68+12=80, Resulting Numbers: [42, 80]
Generated Node #0,3,1: 68:[42, 80] Operation: 68+12=80
Exploring Operation: 42-12=30, Resulting Numbers: [68, 30]
Generated Node #0,3,2: 68:[68, 30] Operation: 42-12=30
Exploring Operation: 68-42=26, Resulting Numbers: [12, 26]
Generated Node #0,3,3: 68:[12, 26] Operation: 68-42=26
Moving to Node #0,2
Current State: 68:[68, 54, 1], Operations: ['42/42=1']
Exploring Operation: 54+1=55, Resulting Numbers: [68, 55]
Generated Node #0,2,0: 68:[68, 55] Operation: 54+1=55
Exploring Operation: 68*1=68, Resulting Numbers: [54, 68]
Generated Node #0,2,1: 68:[54, 68] Operation: 68*1=68
Exploring Operation: 68/1=68, Resulting Numbers: [54, 68]
Generated Node #0,2,2: 68:[54, 68] Operation: 68/1=68
Exploring Operation: 68-54=14, Resulting Numbers: [1, 14]
Generated Node #0,2,3: 68:[1, 14] Operation: 68-54=14
Moving to Node #0,0
Current State: 68:[68, 54, 0], Operations: ['42-42=0']
Exploring Operation: 68-54=14, Resulting Numbers: [0, 14]
Generated Node #0,0,0: 68:[0, 14] Operation: 68-54=14
Exploring Operation: 68-0=68, Resulting Numbers: [54, 68]
Generated Node #0,0,1: 68:[54, 68] Operation: 68-0=68
Exploring Operation: 54*0=0, Resulting Numbers: [68, 0]
Generated Node #0,0,2: 68:[68, 0] Operation: 54*0=0
Exploring Operation: 68+0=68, Resulting Numbers: [54, 68]
Generated Node #0,0,3: 68:[54, 68] Operation: 68+0=68
Moving to Node #0,0,2
Current State: 68:[68, 0], Operations: ['42-42=0', '54*0=0']
Exploring Operation: 68-0=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Moving to Node #0
Current State: 68:[68, 42, 42, 54], Operations: []
Exploring Operation: 42-42=0, Resulting Numbers: [68, 54, 0]
Generated Node #0,0: 68:[68, 54, 0] Operation: 42-42=0
Moving to Node #0,0
Current State: 68:[68, 54, 0], Operations: ['42-42=0']
Exploring Operation: 54*0=0, Resulting Numbers: [68, 0]
Generated Node #0,0,2: 68:[68, 0] Operation: 54*0=0
Moving to Node #0,0,2
Current State: 68:[68, 0], Operations: ['42-42=0', '54*0=0']
Exploring Operation: 68-0=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 0.967882 | hs_4 | mult_heuristic |
[
76,
70,
5,
11
] | 51 | [
"76-11=65",
"70/5=14",
"65-14=51"
] | Current State: 51:[76, 70, 5, 11], Operations: []
Exploring Operation: 76-11=65, Resulting Numbers: [70, 5, 65]
Generated Node #2: [70, 5, 65] from Operation: 76-11=65
Current State: 51:[70, 5, 65], Operations: ['76-11=65']
Exploring Operation: 70/5=14, Resulting Numbers: [65, 14]
Generated Node #3: [65, 14] from Operation: 70/5=14
Current State: 51:[65, 14], Operations: ['76-11=65', '70/5=14']
Exploring Operation: 65-14=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[76, 70, 5, 11], Operations: []
Exploring Operation: 76-70=6, Resulting Numbers: [5, 11, 6]
Generated Node #0,0: 51:[5, 11, 6] Operation: 76-70=6
Exploring Operation: 76-5=71, Resulting Numbers: [70, 11, 71]
Generated Node #0,1: 51:[70, 11, 71] Operation: 76-5=71
Exploring Operation: 70/5=14, Resulting Numbers: [76, 11, 14]
Generated Node #0,2: 51:[76, 11, 14] Operation: 70/5=14
Exploring Operation: 76-11=65, Resulting Numbers: [70, 5, 65]
Generated Node #0,3: 51:[70, 5, 65] Operation: 76-11=65
Exploring Operation: 70-11=59, Resulting Numbers: [76, 5, 59]
Generated Node #0,4: 51:[76, 5, 59] Operation: 70-11=59
Moving to Node #0,0
Current State: 51:[5, 11, 6], Operations: ['76-70=6']
Exploring Operation: 5+11=16, Resulting Numbers: [6, 16]
Generated Node #0,0,0: 51:[6, 16] Operation: 5+11=16
Exploring Operation: 11-6=5, Resulting Numbers: [5, 5]
Generated Node #0,0,1: 51:[5, 5] Operation: 11-6=5
Exploring Operation: 11+6=17, Resulting Numbers: [5, 17]
Generated Node #0,0,2: 51:[5, 17] Operation: 11+6=17
Exploring Operation: 11-5=6, Resulting Numbers: [6, 6]
Generated Node #0,0,3: 51:[6, 6] Operation: 11-5=6
Exploring Operation: 5*11=55, Resulting Numbers: [6, 55]
Generated Node #0,0,4: 51:[6, 55] Operation: 5*11=55
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 51:[5, 17], Operations: ['76-70=6', '11+6=17']
Exploring Operation: 5*17=85, Resulting Numbers: [85]
85,51 unequal: No Solution
Exploring Operation: 5+17=22, Resulting Numbers: [22]
22,51 unequal: No Solution
Exploring Operation: 17-5=12, Resulting Numbers: [12]
12,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 51:[6, 16], Operations: ['76-70=6', '5+11=16']
Exploring Operation: 6+16=22, Resulting Numbers: [22]
22,51 unequal: No Solution
Exploring Operation: 16-6=10, Resulting Numbers: [10]
10,51 unequal: No Solution
Exploring Operation: 6*16=96, Resulting Numbers: [96]
96,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 51:[5, 5], Operations: ['76-70=6', '11-6=5']
Exploring Operation: 5+5=10, Resulting Numbers: [10]
10,51 unequal: No Solution
Exploring Operation: 5/5=1, Resulting Numbers: [1]
1,51 unequal: No Solution
Exploring Operation: 5*5=25, Resulting Numbers: [25]
25,51 unequal: No Solution
Exploring Operation: 5-5=0, Resulting Numbers: [0]
0,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 51:[6, 6], Operations: ['76-70=6', '11-5=6']
Exploring Operation: 6*6=36, Resulting Numbers: [36]
36,51 unequal: No Solution
Exploring Operation: 6/6=1, Resulting Numbers: [1]
1,51 unequal: No Solution
Exploring Operation: 6-6=0, Resulting Numbers: [0]
0,51 unequal: No Solution
Exploring Operation: 6+6=12, Resulting Numbers: [12]
12,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 51:[6, 55], Operations: ['76-70=6', '5*11=55']
Exploring Operation: 6*55=330, Resulting Numbers: [330]
330,51 unequal: No Solution
Exploring Operation: 6+55=61, Resulting Numbers: [61]
61,51 unequal: No Solution
Exploring Operation: 55-6=49, Resulting Numbers: [49]
49,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 51:[76, 11, 14], Operations: ['70/5=14']
Exploring Operation: 76-14=62, Resulting Numbers: [11, 62]
Generated Node #0,2,0: 51:[11, 62] Operation: 76-14=62
Exploring Operation: 76+11=87, Resulting Numbers: [14, 87]
Generated Node #0,2,1: 51:[14, 87] Operation: 76+11=87
Exploring Operation: 11+14=25, Resulting Numbers: [76, 25]
Generated Node #0,2,2: 51:[76, 25] Operation: 11+14=25
Exploring Operation: 14-11=3, Resulting Numbers: [76, 3]
Generated Node #0,2,3: 51:[76, 3] Operation: 14-11=3
Exploring Operation: 76-11=65, Resulting Numbers: [14, 65]
Generated Node #0,2,4: 51:[14, 65] Operation: 76-11=65
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 51:[11, 62], Operations: ['70/5=14', '76-14=62']
Exploring Operation: 11*62=682, Resulting Numbers: [682]
682,51 unequal: No Solution
Exploring Operation: 11+62=73, Resulting Numbers: [73]
73,51 unequal: No Solution
Exploring Operation: 62-11=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Moving to Node #0
Current State: 51:[76, 70, 5, 11], Operations: []
Exploring Operation: 70/5=14, Resulting Numbers: [76, 11, 14]
Generated Node #0,2: 51:[76, 11, 14] Operation: 70/5=14
Moving to Node #0,2
Current State: 51:[76, 11, 14], Operations: ['70/5=14']
Exploring Operation: 76-14=62, Resulting Numbers: [11, 62]
Generated Node #0,2,0: 51:[11, 62] Operation: 76-14=62
Moving to Node #0,2,0
Current State: 51:[11, 62], Operations: ['70/5=14', '76-14=62']
Exploring Operation: 62-11=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Exit Sub Search at level 1
| 0.966146 | hs_5 | mult_heuristic |
[
45,
96,
23,
50
] | 24 | [
"96-45=51",
"50-23=27",
"51-27=24"
] | Current State: 24:[45, 96, 23, 50], Operations: []
Exploring Operation: 96-45=51, Resulting Numbers: [23, 50, 51]
Generated Node #2: [23, 50, 51] from Operation: 96-45=51
Current State: 24:[23, 50, 51], Operations: ['96-45=51']
Exploring Operation: 50-23=27, Resulting Numbers: [51, 27]
Generated Node #3: [51, 27] from Operation: 50-23=27
Current State: 24:[51, 27], Operations: ['96-45=51', '50-23=27']
Exploring Operation: 51-27=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[45, 96, 23, 50], Operations: []
Exploring Operation: 50-23=27, Resulting Numbers: [45, 96, 27]
Generated Node #0,0: 24:[45, 96, 27] Operation: 50-23=27
Exploring Operation: 96-50=46, Resulting Numbers: [45, 23, 46]
Generated Node #0,1: 24:[45, 23, 46] Operation: 96-50=46
Exploring Operation: 50-45=5, Resulting Numbers: [96, 23, 5]
Generated Node #0,2: 24:[96, 23, 5] Operation: 50-45=5
Exploring Operation: 96-23=73, Resulting Numbers: [45, 50, 73]
Generated Node #0,3: 24:[45, 50, 73] Operation: 96-23=73
Exploring Operation: 96-45=51, Resulting Numbers: [23, 50, 51]
Generated Node #0,4: 24:[23, 50, 51] Operation: 96-45=51
Start Sub Search at level 1: Moving to Node #0,1
Current State: 24:[45, 23, 46], Operations: ['96-50=46']
Exploring Operation: 45+23=68, Resulting Numbers: [46, 68]
Generated Node #0,1,0: 24:[46, 68] Operation: 45+23=68
Exploring Operation: 46-23=23, Resulting Numbers: [45, 23]
Generated Node #0,1,1: 24:[45, 23] Operation: 46-23=23
Exploring Operation: 45-23=22, Resulting Numbers: [46, 22]
Generated Node #0,1,2: 24:[46, 22] Operation: 45-23=22
Exploring Operation: 46-45=1, Resulting Numbers: [23, 1]
Generated Node #0,1,3: 24:[23, 1] Operation: 46-45=1
Exploring Operation: 46/23=2, Resulting Numbers: [45, 2]
Generated Node #0,1,4: 24:[45, 2] Operation: 46/23=2
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 24:[23, 1], Operations: ['96-50=46', '46-45=1']
Exploring Operation: 23-1=22, Resulting Numbers: [22]
22,24 unequal: No Solution
Exploring Operation: 23*1=23, Resulting Numbers: [23]
23,24 unequal: No Solution
Exploring Operation: 23+1=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Moving to Node #0
Current State: 24:[45, 96, 23, 50], Operations: []
Exploring Operation: 96-50=46, Resulting Numbers: [45, 23, 46]
Generated Node #0,1: 24:[45, 23, 46] Operation: 96-50=46
Moving to Node #0,1
Current State: 24:[45, 23, 46], Operations: ['96-50=46']
Exploring Operation: 46-45=1, Resulting Numbers: [23, 1]
Generated Node #0,1,3: 24:[23, 1] Operation: 46-45=1
Moving to Node #0,1,3
Current State: 24:[23, 1], Operations: ['96-50=46', '46-45=1']
Exploring Operation: 23+1=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.985243 | hs_5 | mult_heuristic |
[
75,
26,
29,
31
] | 51 | [
"75-26=49",
"31-29=2",
"49+2=51"
] | Current State: 51:[75, 26, 29, 31], Operations: []
Exploring Operation: 75-26=49, Resulting Numbers: [29, 31, 49]
Generated Node #2: [29, 31, 49] from Operation: 75-26=49
Current State: 51:[29, 31, 49], Operations: ['75-26=49']
Exploring Operation: 31-29=2, Resulting Numbers: [49, 2]
Generated Node #3: [49, 2] from Operation: 31-29=2
Current State: 51:[49, 2], Operations: ['75-26=49', '31-29=2']
Exploring Operation: 49+2=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[75, 26, 29, 31], Operations: []
Exploring Operation: 75-26=49, Resulting Numbers: [29, 31, 49]
Generated Node #0,0: 51:[29, 31, 49] Operation: 75-26=49
Moving to Node #0,0
Current State: 51:[29, 31, 49], Operations: ['75-26=49']
Exploring Operation: 31-29=2, Resulting Numbers: [49, 2]
Generated Node #0,0,0: 51:[49, 2] Operation: 31-29=2
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 51:[49, 2], Operations: ['75-26=49', '31-29=2']
Exploring Operation: 49+2=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Moving to Node #0
Current State: 51:[75, 26, 29, 31], Operations: []
Exploring Operation: 75-26=49, Resulting Numbers: [29, 31, 49]
Generated Node #0,0: 51:[29, 31, 49] Operation: 75-26=49
Moving to Node #0,0
Current State: 51:[29, 31, 49], Operations: ['75-26=49']
Exploring Operation: 31-29=2, Resulting Numbers: [49, 2]
Generated Node #0,0,0: 51:[49, 2] Operation: 31-29=2
Moving to Node #0,0,0
Current State: 51:[49, 2], Operations: ['75-26=49', '31-29=2']
Exploring Operation: 49+2=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
48,
50,
24,
32
] | 64 | [
"48*24=1152",
"50-32=18",
"1152/18=64"
] | Current State: 64:[48, 50, 24, 32], Operations: []
Exploring Operation: 48*24=1152, Resulting Numbers: [50, 32, 1152]
Generated Node #2: [50, 32, 1152] from Operation: 48*24=1152
Current State: 64:[50, 32, 1152], Operations: ['48*24=1152']
Exploring Operation: 50-32=18, Resulting Numbers: [1152, 18]
Generated Node #3: [1152, 18] from Operation: 50-32=18
Current State: 64:[1152, 18], Operations: ['48*24=1152', '50-32=18']
Exploring Operation: 1152/18=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[48, 50, 24, 32], Operations: []
Exploring Operation: 48+24=72, Resulting Numbers: [50, 32, 72]
Generated Node #0,0: 64:[50, 32, 72] Operation: 48+24=72
Exploring Operation: 50-48=2, Resulting Numbers: [24, 32, 2]
Generated Node #0,1: 64:[24, 32, 2] Operation: 50-48=2
Exploring Operation: 48/24=2, Resulting Numbers: [50, 32, 2]
Generated Node #0,2: 64:[50, 32, 2] Operation: 48/24=2
Start Sub Search at level 1: Moving to Node #0,1
Current State: 64:[24, 32, 2], Operations: ['50-48=2']
Exploring Operation: 24/2=12, Resulting Numbers: [32, 12]
Generated Node #0,1,0: 64:[32, 12] Operation: 24/2=12
Exploring Operation: 32-24=8, Resulting Numbers: [2, 8]
Generated Node #0,1,1: 64:[2, 8] Operation: 32-24=8
Exploring Operation: 24+2=26, Resulting Numbers: [32, 26]
Generated Node #0,1,2: 64:[32, 26] Operation: 24+2=26
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 64:[2, 8], Operations: ['50-48=2', '32-24=8']
Exploring Operation: 2*8=16, Resulting Numbers: [16]
16,64 unequal: No Solution
Exploring Operation: 2+8=10, Resulting Numbers: [10]
10,64 unequal: No Solution
Exploring Operation: 8/2=4, Resulting Numbers: [4]
4,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 64:[32, 12], Operations: ['50-48=2', '24/2=12']
Exploring Operation: 32-12=20, Resulting Numbers: [20]
20,64 unequal: No Solution
Exploring Operation: 32*12=384, Resulting Numbers: [384]
384,64 unequal: No Solution
Exploring Operation: 32+12=44, Resulting Numbers: [44]
44,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 64:[32, 26], Operations: ['50-48=2', '24+2=26']
Exploring Operation: 32+26=58, Resulting Numbers: [58]
58,64 unequal: No Solution
Exploring Operation: 32-26=6, Resulting Numbers: [6]
6,64 unequal: No Solution
Exploring Operation: 32*26=832, Resulting Numbers: [832]
832,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 64:[50, 32, 2], Operations: ['48/24=2']
Exploring Operation: 50-32=18, Resulting Numbers: [2, 18]
Generated Node #0,2,0: 64:[2, 18] Operation: 50-32=18
Exploring Operation: 50/2=25, Resulting Numbers: [32, 25]
Generated Node #0,2,1: 64:[32, 25] Operation: 50/2=25
Exploring Operation: 50+2=52, Resulting Numbers: [32, 52]
Generated Node #0,2,2: 64:[32, 52] Operation: 50+2=52
Moving to Node #0,2,0
Current State: 64:[2, 18], Operations: ['48/24=2', '50-32=18']
Exploring Operation: 18/2=9, Resulting Numbers: [9]
9,64 unequal: No Solution
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,64 unequal: No Solution
Exploring Operation: 2+18=20, Resulting Numbers: [20]
20,64 unequal: No Solution
Moving to Node #0,2,1
Current State: 64:[32, 25], Operations: ['48/24=2', '50/2=25']
Exploring Operation: 32*25=800, Resulting Numbers: [800]
800,64 unequal: No Solution
Exploring Operation: 32-25=7, Resulting Numbers: [7]
7,64 unequal: No Solution
Exploring Operation: 32+25=57, Resulting Numbers: [57]
57,64 unequal: No Solution
Moving to Node #0,2,2
Current State: 64:[32, 52], Operations: ['48/24=2', '50+2=52']
Exploring Operation: 32*52=1664, Resulting Numbers: [1664]
1664,64 unequal: No Solution
Exploring Operation: 52-32=20, Resulting Numbers: [20]
20,64 unequal: No Solution
Exploring Operation: 32+52=84, Resulting Numbers: [84]
84,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 64:[50, 32, 72], Operations: ['48+24=72']
Exploring Operation: 50-32=18, Resulting Numbers: [72, 18]
Generated Node #0,0,0: 64:[72, 18] Operation: 50-32=18
Exploring Operation: 72-32=40, Resulting Numbers: [50, 40]
Generated Node #0,0,1: 64:[50, 40] Operation: 72-32=40
Exploring Operation: 72-50=22, Resulting Numbers: [32, 22]
Generated Node #0,0,2: 64:[32, 22] Operation: 72-50=22
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 64:[32, 22], Operations: ['48+24=72', '72-50=22']
Exploring Operation: 32*22=704, Resulting Numbers: [704]
704,64 unequal: No Solution
Exploring Operation: 32-22=10, Resulting Numbers: [10]
10,64 unequal: No Solution
Exploring Operation: 32+22=54, Resulting Numbers: [54]
54,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 64:[72, 18], Operations: ['48+24=72', '50-32=18']
Exploring Operation: 72-18=54, Resulting Numbers: [54]
54,64 unequal: No Solution
Exploring Operation: 72/18=4, Resulting Numbers: [4]
4,64 unequal: No Solution
Exploring Operation: 72+18=90, Resulting Numbers: [90]
90,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 64:[50, 40], Operations: ['48+24=72', '72-32=40']
Exploring Operation: 50+40=90, Resulting Numbers: [90]
90,64 unequal: No Solution
Exploring Operation: 50-40=10, Resulting Numbers: [10]
10,64 unequal: No Solution
Exploring Operation: 50*40=2000, Resulting Numbers: [2000]
2000,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
30,
47,
40,
33
] | 32 | [
"47+33=80",
"80/40=2",
"30+2=32"
] | Current State: 32:[30, 47, 40, 33], Operations: []
Exploring Operation: 47+33=80, Resulting Numbers: [30, 40, 80]
Generated Node #2: [30, 40, 80] from Operation: 47+33=80
Current State: 32:[30, 40, 80], Operations: ['47+33=80']
Exploring Operation: 80/40=2, Resulting Numbers: [30, 2]
Generated Node #3: [30, 2] from Operation: 80/40=2
Current State: 32:[30, 2], Operations: ['47+33=80', '80/40=2']
Exploring Operation: 30+2=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[30, 47, 40, 33], Operations: []
Exploring Operation: 47-40=7, Resulting Numbers: [30, 33, 7]
Generated Node #0,0: 32:[30, 33, 7] Operation: 47-40=7
Exploring Operation: 47-30=17, Resulting Numbers: [40, 33, 17]
Generated Node #0,1: 32:[40, 33, 17] Operation: 47-30=17
Exploring Operation: 47-33=14, Resulting Numbers: [30, 40, 14]
Generated Node #0,2: 32:[30, 40, 14] Operation: 47-33=14
Moving to Node #0,0
Current State: 32:[30, 33, 7], Operations: ['47-40=7']
Exploring Operation: 33-30=3, Resulting Numbers: [7, 3]
Generated Node #0,0,0: 32:[7, 3] Operation: 33-30=3
Exploring Operation: 30-7=23, Resulting Numbers: [33, 23]
Generated Node #0,0,1: 32:[33, 23] Operation: 30-7=23
Exploring Operation: 30+7=37, Resulting Numbers: [33, 37]
Generated Node #0,0,2: 32:[33, 37] Operation: 30+7=37
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 32:[7, 3], Operations: ['47-40=7', '33-30=3']
Exploring Operation: 7-3=4, Resulting Numbers: [4]
4,32 unequal: No Solution
Exploring Operation: 7*3=21, Resulting Numbers: [21]
21,32 unequal: No Solution
Exploring Operation: 7+3=10, Resulting Numbers: [10]
10,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 32:[33, 37], Operations: ['47-40=7', '30+7=37']
Exploring Operation: 33+37=70, Resulting Numbers: [70]
70,32 unequal: No Solution
Exploring Operation: 37-33=4, Resulting Numbers: [4]
4,32 unequal: No Solution
Exploring Operation: 33*37=1221, Resulting Numbers: [1221]
1221,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 32:[33, 23], Operations: ['47-40=7', '30-7=23']
Exploring Operation: 33+23=56, Resulting Numbers: [56]
56,32 unequal: No Solution
Exploring Operation: 33*23=759, Resulting Numbers: [759]
759,32 unequal: No Solution
Exploring Operation: 33-23=10, Resulting Numbers: [10]
10,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 32:[40, 33, 17], Operations: ['47-30=17']
Exploring Operation: 40-33=7, Resulting Numbers: [17, 7]
Generated Node #0,1,0: 32:[17, 7] Operation: 40-33=7
Exploring Operation: 33-17=16, Resulting Numbers: [40, 16]
Generated Node #0,1,1: 32:[40, 16] Operation: 33-17=16
Exploring Operation: 40-17=23, Resulting Numbers: [33, 23]
Generated Node #0,1,2: 32:[33, 23] Operation: 40-17=23
Moving to Node #0,2
Current State: 32:[30, 40, 14], Operations: ['47-33=14']
Exploring Operation: 30-14=16, Resulting Numbers: [40, 16]
Generated Node #0,2,0: 32:[40, 16] Operation: 30-14=16
Exploring Operation: 40-30=10, Resulting Numbers: [14, 10]
Generated Node #0,2,1: 32:[14, 10] Operation: 40-30=10
Exploring Operation: 40-14=26, Resulting Numbers: [30, 26]
Generated Node #0,2,2: 32:[30, 26] Operation: 40-14=26
Moving to Node #0,1,0
Current State: 32:[17, 7], Operations: ['47-30=17', '40-33=7']
Exploring Operation: 17*7=119, Resulting Numbers: [119]
119,32 unequal: No Solution
Exploring Operation: 17-7=10, Resulting Numbers: [10]
10,32 unequal: No Solution
Exploring Operation: 17+7=24, Resulting Numbers: [24]
24,32 unequal: No Solution
Moving to Node #0,2,1
Current State: 32:[14, 10], Operations: ['47-33=14', '40-30=10']
Exploring Operation: 14*10=140, Resulting Numbers: [140]
140,32 unequal: No Solution
Exploring Operation: 14-10=4, Resulting Numbers: [4]
4,32 unequal: No Solution
Exploring Operation: 14+10=24, Resulting Numbers: [24]
24,32 unequal: No Solution
Moving to Node #0,1,2
Current State: 32:[33, 23], Operations: ['47-30=17', '40-17=23']
Exploring Operation: 33+23=56, Resulting Numbers: [56]
56,32 unequal: No Solution
Exploring Operation: 33-23=10, Resulting Numbers: [10]
10,32 unequal: No Solution
Exploring Operation: 33*23=759, Resulting Numbers: [759]
759,32 unequal: No Solution
Moving to Node #0,2,2
Current State: 32:[30, 26], Operations: ['47-33=14', '40-14=26']
Exploring Operation: 30*26=780, Resulting Numbers: [780]
780,32 unequal: No Solution
Exploring Operation: 30-26=4, Resulting Numbers: [4]
4,32 unequal: No Solution
Exploring Operation: 30+26=56, Resulting Numbers: [56]
56,32 unequal: No Solution
Moving to Node #0,2,0
Current State: 32:[40, 16], Operations: ['47-33=14', '30-14=16']
Exploring Operation: 40-16=24, Resulting Numbers: [24]
24,32 unequal: No Solution
Exploring Operation: 40*16=640, Resulting Numbers: [640]
640,32 unequal: No Solution
Exploring Operation: 40+16=56, Resulting Numbers: [56]
56,32 unequal: No Solution
Moving to Node #0,1,1
Current State: 32:[40, 16], Operations: ['47-30=17', '33-17=16']
Exploring Operation: 40-16=24, Resulting Numbers: [24]
24,32 unequal: No Solution
Exploring Operation: 40*16=640, Resulting Numbers: [640]
640,32 unequal: No Solution
Exploring Operation: 40+16=56, Resulting Numbers: [56]
56,32 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
89,
6,
5,
31
] | 88 | [
"89-31=58",
"6*5=30",
"58+30=88"
] | Current State: 88:[89, 6, 5, 31], Operations: []
Exploring Operation: 89-31=58, Resulting Numbers: [6, 5, 58]
Generated Node #2: [6, 5, 58] from Operation: 89-31=58
Current State: 88:[6, 5, 58], Operations: ['89-31=58']
Exploring Operation: 6*5=30, Resulting Numbers: [58, 30]
Generated Node #3: [58, 30] from Operation: 6*5=30
Current State: 88:[58, 30], Operations: ['89-31=58', '6*5=30']
Exploring Operation: 58+30=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[89, 6, 5, 31], Operations: []
Exploring Operation: 31-6=25, Resulting Numbers: [89, 5, 25]
Generated Node #0,0: 88:[89, 5, 25] Operation: 31-6=25
Exploring Operation: 6+31=37, Resulting Numbers: [89, 5, 37]
Generated Node #0,1: 88:[89, 5, 37] Operation: 6+31=37
Exploring Operation: 31-5=26, Resulting Numbers: [89, 6, 26]
Generated Node #0,2: 88:[89, 6, 26] Operation: 31-5=26
Moving to Node #0,0
Current State: 88:[89, 5, 25], Operations: ['31-6=25']
Exploring Operation: 89-5=84, Resulting Numbers: [25, 84]
Generated Node #0,0,0: 88:[25, 84] Operation: 89-5=84
Exploring Operation: 25-5=20, Resulting Numbers: [89, 20]
Generated Node #0,0,1: 88:[89, 20] Operation: 25-5=20
Exploring Operation: 25/5=5, Resulting Numbers: [89, 5]
Generated Node #0,0,2: 88:[89, 5] Operation: 25/5=5
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 88:[89, 5], Operations: ['31-6=25', '25/5=5']
Exploring Operation: 89-5=84, Resulting Numbers: [84]
84,88 unequal: No Solution
Exploring Operation: 89+5=94, Resulting Numbers: [94]
94,88 unequal: No Solution
Exploring Operation: 89*5=445, Resulting Numbers: [445]
445,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 88:[89, 20], Operations: ['31-6=25', '25-5=20']
Exploring Operation: 89-20=69, Resulting Numbers: [69]
69,88 unequal: No Solution
Exploring Operation: 89+20=109, Resulting Numbers: [109]
109,88 unequal: No Solution
Exploring Operation: 89*20=1780, Resulting Numbers: [1780]
1780,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 88:[25, 84], Operations: ['31-6=25', '89-5=84']
Exploring Operation: 84-25=59, Resulting Numbers: [59]
59,88 unequal: No Solution
Exploring Operation: 25+84=109, Resulting Numbers: [109]
109,88 unequal: No Solution
Exploring Operation: 25*84=2100, Resulting Numbers: [2100]
2100,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 88:[89, 6, 26], Operations: ['31-5=26']
Exploring Operation: 26-6=20, Resulting Numbers: [89, 20]
Generated Node #0,2,0: 88:[89, 20] Operation: 26-6=20
Exploring Operation: 89-6=83, Resulting Numbers: [26, 83]
Generated Node #0,2,1: 88:[26, 83] Operation: 89-6=83
Exploring Operation: 89+6=95, Resulting Numbers: [26, 95]
Generated Node #0,2,2: 88:[26, 95] Operation: 89+6=95
Moving to Node #0,1
Current State: 88:[89, 5, 37], Operations: ['6+31=37']
Exploring Operation: 89-37=52, Resulting Numbers: [5, 52]
Generated Node #0,1,0: 88:[5, 52] Operation: 89-37=52
Exploring Operation: 89-5=84, Resulting Numbers: [37, 84]
Generated Node #0,1,1: 88:[37, 84] Operation: 89-5=84
Exploring Operation: 5+37=42, Resulting Numbers: [89, 42]
Generated Node #0,1,2: 88:[89, 42] Operation: 5+37=42
Moving to Node #0,2,0
Current State: 88:[89, 20], Operations: ['31-5=26', '26-6=20']
Exploring Operation: 89-20=69, Resulting Numbers: [69]
69,88 unequal: No Solution
Exploring Operation: 89+20=109, Resulting Numbers: [109]
109,88 unequal: No Solution
Exploring Operation: 89*20=1780, Resulting Numbers: [1780]
1780,88 unequal: No Solution
Moving to Node #0,1,2
Current State: 88:[89, 42], Operations: ['6+31=37', '5+37=42']
Exploring Operation: 89*42=3738, Resulting Numbers: [3738]
3738,88 unequal: No Solution
Exploring Operation: 89+42=131, Resulting Numbers: [131]
131,88 unequal: No Solution
Exploring Operation: 89-42=47, Resulting Numbers: [47]
47,88 unequal: No Solution
Moving to Node #0,1,0
Current State: 88:[5, 52], Operations: ['6+31=37', '89-37=52']
Exploring Operation: 52-5=47, Resulting Numbers: [47]
47,88 unequal: No Solution
Exploring Operation: 5+52=57, Resulting Numbers: [57]
57,88 unequal: No Solution
Exploring Operation: 5*52=260, Resulting Numbers: [260]
260,88 unequal: No Solution
Moving to Node #0,2,1
Current State: 88:[26, 83], Operations: ['31-5=26', '89-6=83']
Exploring Operation: 26+83=109, Resulting Numbers: [109]
109,88 unequal: No Solution
Exploring Operation: 26*83=2158, Resulting Numbers: [2158]
2158,88 unequal: No Solution
Exploring Operation: 83-26=57, Resulting Numbers: [57]
57,88 unequal: No Solution
Moving to Node #0,1,1
Current State: 88:[37, 84], Operations: ['6+31=37', '89-5=84']
Exploring Operation: 37*84=3108, Resulting Numbers: [3108]
3108,88 unequal: No Solution
Exploring Operation: 84-37=47, Resulting Numbers: [47]
47,88 unequal: No Solution
Exploring Operation: 37+84=121, Resulting Numbers: [121]
121,88 unequal: No Solution
Moving to Node #0,2,2
Current State: 88:[26, 95], Operations: ['31-5=26', '89+6=95']
Exploring Operation: 95-26=69, Resulting Numbers: [69]
69,88 unequal: No Solution
Exploring Operation: 26+95=121, Resulting Numbers: [121]
121,88 unequal: No Solution
Exploring Operation: 26*95=2470, Resulting Numbers: [2470]
2470,88 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
60,
32,
51,
97
] | 44 | [
"60*51=3060",
"32*97=3104",
"3104-3060=44"
] | Current State: 44:[60, 32, 51, 97], Operations: []
Exploring Operation: 60*51=3060, Resulting Numbers: [32, 97, 3060]
Generated Node #2: [32, 97, 3060] from Operation: 60*51=3060
Current State: 44:[32, 97, 3060], Operations: ['60*51=3060']
Exploring Operation: 32*97=3104, Resulting Numbers: [3060, 3104]
Generated Node #3: [3060, 3104] from Operation: 32*97=3104
Current State: 44:[3060, 3104], Operations: ['60*51=3060', '32*97=3104']
Exploring Operation: 3104-3060=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[60, 32, 51, 97], Operations: []
Exploring Operation: 97-51=46, Resulting Numbers: [60, 32, 46]
Generated Node #0,0: 44:[60, 32, 46] Operation: 97-51=46
Exploring Operation: 97-60=37, Resulting Numbers: [32, 51, 37]
Generated Node #0,1: 44:[32, 51, 37] Operation: 97-60=37
Start Sub Search at level 1: Moving to Node #0,1
Current State: 44:[32, 51, 37], Operations: ['97-60=37']
Exploring Operation: 37-32=5, Resulting Numbers: [51, 5]
Generated Node #0,1,0: 44:[51, 5] Operation: 37-32=5
Exploring Operation: 51-32=19, Resulting Numbers: [37, 19]
Generated Node #0,1,1: 44:[37, 19] Operation: 51-32=19
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 44:[51, 5], Operations: ['97-60=37', '37-32=5']
Exploring Operation: 51+5=56, Resulting Numbers: [56]
56,44 unequal: No Solution
Exploring Operation: 51-5=46, Resulting Numbers: [46]
46,44 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 44:[37, 19], Operations: ['97-60=37', '51-32=19']
Exploring Operation: 37-19=18, Resulting Numbers: [18]
18,44 unequal: No Solution
Exploring Operation: 37+19=56, Resulting Numbers: [56]
56,44 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 44:[60, 32, 46], Operations: ['97-51=46']
Exploring Operation: 60-46=14, Resulting Numbers: [32, 14]
Generated Node #0,0,0: 44:[32, 14] Operation: 60-46=14
Exploring Operation: 60-32=28, Resulting Numbers: [46, 28]
Generated Node #0,0,1: 44:[46, 28] Operation: 60-32=28
Moving to Node #0,0,1
Current State: 44:[46, 28], Operations: ['97-51=46', '60-32=28']
Exploring Operation: 46-28=18, Resulting Numbers: [18]
18,44 unequal: No Solution
Exploring Operation: 46+28=74, Resulting Numbers: [74]
74,44 unequal: No Solution
Moving to Node #0,0,0
Current State: 44:[32, 14], Operations: ['97-51=46', '60-46=14']
Exploring Operation: 32-14=18, Resulting Numbers: [18]
18,44 unequal: No Solution
Exploring Operation: 32+14=46, Resulting Numbers: [46]
46,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
85,
66,
60,
64
] | 50 | [
"85-60=25",
"66-64=2",
"25*2=50"
] | Current State: 50:[85, 66, 60, 64], Operations: []
Exploring Operation: 85-60=25, Resulting Numbers: [66, 64, 25]
Generated Node #2: [66, 64, 25] from Operation: 85-60=25
Current State: 50:[66, 64, 25], Operations: ['85-60=25']
Exploring Operation: 66-64=2, Resulting Numbers: [25, 2]
Generated Node #3: [25, 2] from Operation: 66-64=2
Current State: 50:[25, 2], Operations: ['85-60=25', '66-64=2']
Exploring Operation: 25*2=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[85, 66, 60, 64], Operations: []
Exploring Operation: 85-60=25, Resulting Numbers: [66, 64, 25]
Generated Node #0,0: 50:[66, 64, 25] Operation: 85-60=25
Exploring Operation: 85-64=21, Resulting Numbers: [66, 60, 21]
Generated Node #0,1: 50:[66, 60, 21] Operation: 85-64=21
Exploring Operation: 85-66=19, Resulting Numbers: [60, 64, 19]
Generated Node #0,2: 50:[60, 64, 19] Operation: 85-66=19
Exploring Operation: 66-64=2, Resulting Numbers: [85, 60, 2]
Generated Node #0,3: 50:[85, 60, 2] Operation: 66-64=2
Moving to Node #0,0
Current State: 50:[66, 64, 25], Operations: ['85-60=25']
Exploring Operation: 66-64=2, Resulting Numbers: [25, 2]
Generated Node #0,0,0: 50:[25, 2] Operation: 66-64=2
Exploring Operation: 64-25=39, Resulting Numbers: [66, 39]
Generated Node #0,0,1: 50:[66, 39] Operation: 64-25=39
Exploring Operation: 66-25=41, Resulting Numbers: [64, 41]
Generated Node #0,0,2: 50:[64, 41] Operation: 66-25=41
Exploring Operation: 66+25=91, Resulting Numbers: [64, 91]
Generated Node #0,0,3: 50:[64, 91] Operation: 66+25=91
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 50:[25, 2], Operations: ['85-60=25', '66-64=2']
Exploring Operation: 25*2=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Moving to Node #0
Current State: 50:[85, 66, 60, 64], Operations: []
Exploring Operation: 85-60=25, Resulting Numbers: [66, 64, 25]
Generated Node #0,0: 50:[66, 64, 25] Operation: 85-60=25
Moving to Node #0,0
Current State: 50:[66, 64, 25], Operations: ['85-60=25']
Exploring Operation: 66-64=2, Resulting Numbers: [25, 2]
Generated Node #0,0,0: 50:[25, 2] Operation: 66-64=2
Moving to Node #0,0,0
Current State: 50:[25, 2], Operations: ['85-60=25', '66-64=2']
Exploring Operation: 25*2=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | mult_heuristic |
[
56,
24,
30,
38
] | 72 | [
"56+24=80",
"38-30=8",
"80-8=72"
] | Current State: 72:[56, 24, 30, 38], Operations: []
Exploring Operation: 56+24=80, Resulting Numbers: [30, 38, 80]
Generated Node #2: [30, 38, 80] from Operation: 56+24=80
Current State: 72:[30, 38, 80], Operations: ['56+24=80']
Exploring Operation: 38-30=8, Resulting Numbers: [80, 8]
Generated Node #3: [80, 8] from Operation: 38-30=8
Current State: 72:[80, 8], Operations: ['56+24=80', '38-30=8']
Exploring Operation: 80-8=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[56, 24, 30, 38], Operations: []
Exploring Operation: 56-30=26, Resulting Numbers: [24, 38, 26]
Generated Node #0,0: 72:[24, 38, 26] Operation: 56-30=26
Moving to Node #0,0
Current State: 72:[24, 38, 26], Operations: ['56-30=26']
Exploring Operation: 38-26=12, Resulting Numbers: [24, 12]
Generated Node #0,0,0: 72:[24, 12] Operation: 38-26=12
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 72:[24, 12], Operations: ['56-30=26', '38-26=12']
Exploring Operation: 24+12=36, Resulting Numbers: [36]
36,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
15,
44,
40,
42
] | 57 | [
"15+44=59",
"42-40=2",
"59-2=57"
] | Current State: 57:[15, 44, 40, 42], Operations: []
Exploring Operation: 15+44=59, Resulting Numbers: [40, 42, 59]
Generated Node #2: [40, 42, 59] from Operation: 15+44=59
Current State: 57:[40, 42, 59], Operations: ['15+44=59']
Exploring Operation: 42-40=2, Resulting Numbers: [59, 2]
Generated Node #3: [59, 2] from Operation: 42-40=2
Current State: 57:[59, 2], Operations: ['15+44=59', '42-40=2']
Exploring Operation: 59-2=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[15, 44, 40, 42], Operations: []
Exploring Operation: 44-40=4, Resulting Numbers: [15, 42, 4]
Generated Node #0,0: 57:[15, 42, 4] Operation: 44-40=4
Exploring Operation: 42-40=2, Resulting Numbers: [15, 44, 2]
Generated Node #0,1: 57:[15, 44, 2] Operation: 42-40=2
Start Sub Search at level 1: Moving to Node #0,1
Current State: 57:[15, 44, 2], Operations: ['42-40=2']
Exploring Operation: 15+44=59, Resulting Numbers: [2, 59]
Generated Node #0,1,0: 57:[2, 59] Operation: 15+44=59
Exploring Operation: 44/2=22, Resulting Numbers: [15, 22]
Generated Node #0,1,1: 57:[15, 22] Operation: 44/2=22
Moving to Node #0,1,0
Current State: 57:[2, 59], Operations: ['42-40=2', '15+44=59']
Exploring Operation: 2+59=61, Resulting Numbers: [61]
61,57 unequal: No Solution
Exploring Operation: 59-2=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Moving to Node #0
Current State: 57:[15, 44, 40, 42], Operations: []
Exploring Operation: 42-40=2, Resulting Numbers: [15, 44, 2]
Generated Node #0,1: 57:[15, 44, 2] Operation: 42-40=2
Moving to Node #0,1
Current State: 57:[15, 44, 2], Operations: ['42-40=2']
Exploring Operation: 15+44=59, Resulting Numbers: [2, 59]
Generated Node #0,1,0: 57:[2, 59] Operation: 15+44=59
Moving to Node #0,1,0
Current State: 57:[2, 59], Operations: ['42-40=2', '15+44=59']
Exploring Operation: 59-2=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
43,
52,
19,
86
] | 85 | [
"52-43=9",
"19*9=171",
"171-86=85"
] | Current State: 85:[43, 52, 19, 86], Operations: []
Exploring Operation: 52-43=9, Resulting Numbers: [19, 86, 9]
Generated Node #2: [19, 86, 9] from Operation: 52-43=9
Current State: 85:[19, 86, 9], Operations: ['52-43=9']
Exploring Operation: 19*9=171, Resulting Numbers: [86, 171]
Generated Node #3: [86, 171] from Operation: 19*9=171
Current State: 85:[86, 171], Operations: ['52-43=9', '19*9=171']
Exploring Operation: 171-86=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[43, 52, 19, 86], Operations: []
Exploring Operation: 43+52=95, Resulting Numbers: [19, 86, 95]
Generated Node #0,0: 85:[19, 86, 95] Operation: 43+52=95
Exploring Operation: 52-43=9, Resulting Numbers: [19, 86, 9]
Generated Node #0,1: 85:[19, 86, 9] Operation: 52-43=9
Moving to Node #0,1
Current State: 85:[19, 86, 9], Operations: ['52-43=9']
Exploring Operation: 86-9=77, Resulting Numbers: [19, 77]
Generated Node #0,1,0: 85:[19, 77] Operation: 86-9=77
Exploring Operation: 19-9=10, Resulting Numbers: [86, 10]
Generated Node #0,1,1: 85:[86, 10] Operation: 19-9=10
Moving to Node #0,0
Current State: 85:[19, 86, 95], Operations: ['43+52=95']
Exploring Operation: 95-86=9, Resulting Numbers: [19, 9]
Generated Node #0,0,0: 85:[19, 9] Operation: 95-86=9
Exploring Operation: 95/19=5, Resulting Numbers: [86, 5]
Generated Node #0,0,1: 85:[86, 5] Operation: 95/19=5
Moving to Node #0,0,1
Current State: 85:[86, 5], Operations: ['43+52=95', '95/19=5']
Exploring Operation: 86-5=81, Resulting Numbers: [81]
81,85 unequal: No Solution
Exploring Operation: 86+5=91, Resulting Numbers: [91]
91,85 unequal: No Solution
Moving to Node #0,1,1
Current State: 85:[86, 10], Operations: ['52-43=9', '19-9=10']
Exploring Operation: 86+10=96, Resulting Numbers: [96]
96,85 unequal: No Solution
Exploring Operation: 86-10=76, Resulting Numbers: [76]
76,85 unequal: No Solution
Moving to Node #0,0,0
Current State: 85:[19, 9], Operations: ['43+52=95', '95-86=9']
Exploring Operation: 19+9=28, Resulting Numbers: [28]
28,85 unequal: No Solution
Exploring Operation: 19-9=10, Resulting Numbers: [10]
10,85 unequal: No Solution
Moving to Node #0,1,0
Current State: 85:[19, 77], Operations: ['52-43=9', '86-9=77']
Exploring Operation: 19+77=96, Resulting Numbers: [96]
96,85 unequal: No Solution
Exploring Operation: 77-19=58, Resulting Numbers: [58]
58,85 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
91,
91,
21,
3
] | 84 | [
"91/91=1",
"3+1=4",
"21*4=84"
] | Current State: 84:[91, 91, 21, 3], Operations: []
Exploring Operation: 91/91=1, Resulting Numbers: [21, 3, 1]
Generated Node #2: [21, 3, 1] from Operation: 91/91=1
Current State: 84:[21, 3, 1], Operations: ['91/91=1']
Exploring Operation: 3+1=4, Resulting Numbers: [21, 4]
Generated Node #3: [21, 4] from Operation: 3+1=4
Current State: 84:[21, 4], Operations: ['91/91=1', '3+1=4']
Exploring Operation: 21*4=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[91, 91, 21, 3], Operations: []
Exploring Operation: 91/91=1, Resulting Numbers: [21, 3, 1]
Generated Node #0,0: 84:[21, 3, 1] Operation: 91/91=1
Moving to Node #0,0
Current State: 84:[21, 3, 1], Operations: ['91/91=1']
Exploring Operation: 21*1=21, Resulting Numbers: [3, 21]
Generated Node #0,0,0: 84:[3, 21] Operation: 21*1=21
Moving to Node #0,0,0
Current State: 84:[3, 21], Operations: ['91/91=1', '21*1=21']
Exploring Operation: 21/3=7, Resulting Numbers: [7]
7,84 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
2,
52,
30,
5
] | 25 | [
"52-2=50",
"30-5=25",
"50-25=25"
] | Current State: 25:[2, 52, 30, 5], Operations: []
Exploring Operation: 52-2=50, Resulting Numbers: [30, 5, 50]
Generated Node #2: [30, 5, 50] from Operation: 52-2=50
Current State: 25:[30, 5, 50], Operations: ['52-2=50']
Exploring Operation: 30-5=25, Resulting Numbers: [50, 25]
Generated Node #3: [50, 25] from Operation: 30-5=25
Current State: 25:[50, 25], Operations: ['52-2=50', '30-5=25']
Exploring Operation: 50-25=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[2, 52, 30, 5], Operations: []
Exploring Operation: 52/2=26, Resulting Numbers: [30, 5, 26]
Generated Node #0,0: 25:[30, 5, 26] Operation: 52/2=26
Exploring Operation: 52-30=22, Resulting Numbers: [2, 5, 22]
Generated Node #0,1: 25:[2, 5, 22] Operation: 52-30=22
Exploring Operation: 52-2=50, Resulting Numbers: [30, 5, 50]
Generated Node #0,2: 25:[30, 5, 50] Operation: 52-2=50
Start Sub Search at level 1: Moving to Node #0,0
Current State: 25:[30, 5, 26], Operations: ['52/2=26']
Exploring Operation: 30-5=25, Resulting Numbers: [26, 25]
Generated Node #0,0,0: 25:[26, 25] Operation: 30-5=25
Exploring Operation: 30/5=6, Resulting Numbers: [26, 6]
Generated Node #0,0,1: 25:[26, 6] Operation: 30/5=6
Exploring Operation: 30-26=4, Resulting Numbers: [5, 4]
Generated Node #0,0,2: 25:[5, 4] Operation: 30-26=4
Moving to Node #0,0,0
Current State: 25:[26, 25], Operations: ['52/2=26', '30-5=25']
Exploring Operation: 26+25=51, Resulting Numbers: [51]
51,25 unequal: No Solution
Exploring Operation: 26*25=650, Resulting Numbers: [650]
650,25 unequal: No Solution
Exploring Operation: 26-25=1, Resulting Numbers: [1]
1,25 unequal: No Solution
Moving to Node #0,0,2
Current State: 25:[5, 4], Operations: ['52/2=26', '30-26=4']
Exploring Operation: 5+4=9, Resulting Numbers: [9]
9,25 unequal: No Solution
Exploring Operation: 5*4=20, Resulting Numbers: [20]
20,25 unequal: No Solution
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,25 unequal: No Solution
Moving to Node #0,0,1
Current State: 25:[26, 6], Operations: ['52/2=26', '30/5=6']
Exploring Operation: 26-6=20, Resulting Numbers: [20]
20,25 unequal: No Solution
Exploring Operation: 26+6=32, Resulting Numbers: [32]
32,25 unequal: No Solution
Exploring Operation: 26*6=156, Resulting Numbers: [156]
156,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 25:[2, 5, 22], Operations: ['52-30=22']
Exploring Operation: 2+22=24, Resulting Numbers: [5, 24]
Generated Node #0,1,0: 25:[5, 24] Operation: 2+22=24
Exploring Operation: 5-2=3, Resulting Numbers: [22, 3]
Generated Node #0,1,1: 25:[22, 3] Operation: 5-2=3
Exploring Operation: 2+5=7, Resulting Numbers: [22, 7]
Generated Node #0,1,2: 25:[22, 7] Operation: 2+5=7
Moving to Node #0,1,0
Current State: 25:[5, 24], Operations: ['52-30=22', '2+22=24']
Exploring Operation: 5+24=29, Resulting Numbers: [29]
29,25 unequal: No Solution
Exploring Operation: 24-5=19, Resulting Numbers: [19]
19,25 unequal: No Solution
Exploring Operation: 5*24=120, Resulting Numbers: [120]
120,25 unequal: No Solution
Moving to Node #0,1,1
Current State: 25:[22, 3], Operations: ['52-30=22', '5-2=3']
Exploring Operation: 22*3=66, Resulting Numbers: [66]
66,25 unequal: No Solution
Exploring Operation: 22-3=19, Resulting Numbers: [19]
19,25 unequal: No Solution
Exploring Operation: 22+3=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Moving to Node #0
Current State: 25:[2, 52, 30, 5], Operations: []
Exploring Operation: 52-30=22, Resulting Numbers: [2, 5, 22]
Generated Node #0,1: 25:[2, 5, 22] Operation: 52-30=22
Moving to Node #0,1
Current State: 25:[2, 5, 22], Operations: ['52-30=22']
Exploring Operation: 5-2=3, Resulting Numbers: [22, 3]
Generated Node #0,1,1: 25:[22, 3] Operation: 5-2=3
Moving to Node #0,1,1
Current State: 25:[22, 3], Operations: ['52-30=22', '5-2=3']
Exploring Operation: 22+3=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Exit Sub Search at level 1
| 0.975694 | hs_3 | sum_heuristic |
[
8,
58,
11,
23
] | 100 | [
"8+58=66",
"11+23=34",
"66+34=100"
] | Current State: 100:[8, 58, 11, 23], Operations: []
Exploring Operation: 8+58=66, Resulting Numbers: [11, 23, 66]
Generated Node #2: [11, 23, 66] from Operation: 8+58=66
Current State: 100:[11, 23, 66], Operations: ['8+58=66']
Exploring Operation: 11+23=34, Resulting Numbers: [66, 34]
Generated Node #3: [66, 34] from Operation: 11+23=34
Current State: 100:[66, 34], Operations: ['8+58=66', '11+23=34']
Exploring Operation: 66+34=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[8, 58, 11, 23], Operations: []
Exploring Operation: 8+11=19, Resulting Numbers: [58, 23, 19]
Generated Node #0,0: 100:[58, 23, 19] Operation: 8+11=19
Exploring Operation: 23-11=12, Resulting Numbers: [8, 58, 12]
Generated Node #0,1: 100:[8, 58, 12] Operation: 23-11=12
Exploring Operation: 58-11=47, Resulting Numbers: [8, 23, 47]
Generated Node #0,2: 100:[8, 23, 47] Operation: 58-11=47
Exploring Operation: 58-8=50, Resulting Numbers: [11, 23, 50]
Generated Node #0,3: 100:[11, 23, 50] Operation: 58-8=50
Exploring Operation: 11-8=3, Resulting Numbers: [58, 23, 3]
Generated Node #0,4: 100:[58, 23, 3] Operation: 11-8=3
Start Sub Search at level 1: Moving to Node #0,3
Current State: 100:[11, 23, 50], Operations: ['58-8=50']
Exploring Operation: 23-11=12, Resulting Numbers: [50, 12]
Generated Node #0,3,0: 100:[50, 12] Operation: 23-11=12
Exploring Operation: 11+50=61, Resulting Numbers: [23, 61]
Generated Node #0,3,1: 100:[23, 61] Operation: 11+50=61
Exploring Operation: 50-11=39, Resulting Numbers: [23, 39]
Generated Node #0,3,2: 100:[23, 39] Operation: 50-11=39
Exploring Operation: 50-23=27, Resulting Numbers: [11, 27]
Generated Node #0,3,3: 100:[11, 27] Operation: 50-23=27
Exploring Operation: 11+23=34, Resulting Numbers: [50, 34]
Generated Node #0,3,4: 100:[50, 34] Operation: 11+23=34
Moving to Node #0,3,0
Current State: 100:[50, 12], Operations: ['58-8=50', '23-11=12']
Exploring Operation: 50+12=62, Resulting Numbers: [62]
62,100 unequal: No Solution
Exploring Operation: 50*12=600, Resulting Numbers: [600]
600,100 unequal: No Solution
Exploring Operation: 50-12=38, Resulting Numbers: [38]
38,100 unequal: No Solution
Moving to Node #0,3,3
Current State: 100:[11, 27], Operations: ['58-8=50', '50-23=27']
Exploring Operation: 27-11=16, Resulting Numbers: [16]
16,100 unequal: No Solution
Exploring Operation: 11+27=38, Resulting Numbers: [38]
38,100 unequal: No Solution
Exploring Operation: 11*27=297, Resulting Numbers: [297]
297,100 unequal: No Solution
Moving to Node #0,3,4
Current State: 100:[50, 34], Operations: ['58-8=50', '11+23=34']
Exploring Operation: 50*34=1700, Resulting Numbers: [1700]
1700,100 unequal: No Solution
Exploring Operation: 50-34=16, Resulting Numbers: [16]
16,100 unequal: No Solution
Exploring Operation: 50+34=84, Resulting Numbers: [84]
84,100 unequal: No Solution
Moving to Node #0,3,1
Current State: 100:[23, 61], Operations: ['58-8=50', '11+50=61']
Exploring Operation: 23*61=1403, Resulting Numbers: [1403]
1403,100 unequal: No Solution
Exploring Operation: 61-23=38, Resulting Numbers: [38]
38,100 unequal: No Solution
Exploring Operation: 23+61=84, Resulting Numbers: [84]
84,100 unequal: No Solution
Moving to Node #0,3,2
Current State: 100:[23, 39], Operations: ['58-8=50', '50-11=39']
Exploring Operation: 39-23=16, Resulting Numbers: [16]
16,100 unequal: No Solution
Exploring Operation: 23*39=897, Resulting Numbers: [897]
897,100 unequal: No Solution
Exploring Operation: 23+39=62, Resulting Numbers: [62]
62,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 100:[8, 23, 47], Operations: ['58-11=47']
Exploring Operation: 23-8=15, Resulting Numbers: [47, 15]
Generated Node #0,2,0: 100:[47, 15] Operation: 23-8=15
Exploring Operation: 47-23=24, Resulting Numbers: [8, 24]
Generated Node #0,2,1: 100:[8, 24] Operation: 47-23=24
Exploring Operation: 8+23=31, Resulting Numbers: [47, 31]
Generated Node #0,2,2: 100:[47, 31] Operation: 8+23=31
Exploring Operation: 8+47=55, Resulting Numbers: [23, 55]
Generated Node #0,2,3: 100:[23, 55] Operation: 8+47=55
Exploring Operation: 47-8=39, Resulting Numbers: [23, 39]
Generated Node #0,2,4: 100:[23, 39] Operation: 47-8=39
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 100:[8, 24], Operations: ['58-11=47', '47-23=24']
Exploring Operation: 8+24=32, Resulting Numbers: [32]
32,100 unequal: No Solution
Exploring Operation: 8*24=192, Resulting Numbers: [192]
192,100 unequal: No Solution
Exploring Operation: 24/8=3, Resulting Numbers: [3]
3,100 unequal: No Solution
Exploring Operation: 24-8=16, Resulting Numbers: [16]
16,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 100:[23, 55], Operations: ['58-11=47', '8+47=55']
Exploring Operation: 55-23=32, Resulting Numbers: [32]
32,100 unequal: No Solution
Exploring Operation: 23+55=78, Resulting Numbers: [78]
78,100 unequal: No Solution
Exploring Operation: 23*55=1265, Resulting Numbers: [1265]
1265,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 100:[47, 15], Operations: ['58-11=47', '23-8=15']
Exploring Operation: 47-15=32, Resulting Numbers: [32]
32,100 unequal: No Solution
Exploring Operation: 47+15=62, Resulting Numbers: [62]
62,100 unequal: No Solution
Exploring Operation: 47*15=705, Resulting Numbers: [705]
705,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 100:[47, 31], Operations: ['58-11=47', '8+23=31']
Exploring Operation: 47*31=1457, Resulting Numbers: [1457]
1457,100 unequal: No Solution
Exploring Operation: 47-31=16, Resulting Numbers: [16]
16,100 unequal: No Solution
Exploring Operation: 47+31=78, Resulting Numbers: [78]
78,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 100:[23, 39], Operations: ['58-11=47', '47-8=39']
Exploring Operation: 39-23=16, Resulting Numbers: [16]
16,100 unequal: No Solution
Exploring Operation: 23*39=897, Resulting Numbers: [897]
897,100 unequal: No Solution
Exploring Operation: 23+39=62, Resulting Numbers: [62]
62,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 100:[58, 23, 19], Operations: ['8+11=19']
Exploring Operation: 58-23=35, Resulting Numbers: [19, 35]
Generated Node #0,0,0: 100:[19, 35] Operation: 58-23=35
Exploring Operation: 23+19=42, Resulting Numbers: [58, 42]
Generated Node #0,0,1: 100:[58, 42] Operation: 23+19=42
Exploring Operation: 58+23=81, Resulting Numbers: [19, 81]
Generated Node #0,0,2: 100:[19, 81] Operation: 58+23=81
Exploring Operation: 23-19=4, Resulting Numbers: [58, 4]
Generated Node #0,0,3: 100:[58, 4] Operation: 23-19=4
Exploring Operation: 58-19=39, Resulting Numbers: [23, 39]
Generated Node #0,0,4: 100:[23, 39] Operation: 58-19=39
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 100:[58, 4], Operations: ['8+11=19', '23-19=4']
Exploring Operation: 58-4=54, Resulting Numbers: [54]
54,100 unequal: No Solution
Exploring Operation: 58*4=232, Resulting Numbers: [232]
232,100 unequal: No Solution
Exploring Operation: 58+4=62, Resulting Numbers: [62]
62,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 100:[19, 35], Operations: ['8+11=19', '58-23=35']
Exploring Operation: 35-19=16, Resulting Numbers: [16]
16,100 unequal: No Solution
Exploring Operation: 19*35=665, Resulting Numbers: [665]
665,100 unequal: No Solution
Exploring Operation: 19+35=54, Resulting Numbers: [54]
54,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 100:[23, 39], Operations: ['8+11=19', '58-19=39']
Exploring Operation: 23+39=62, Resulting Numbers: [62]
62,100 unequal: No Solution
Exploring Operation: 39-23=16, Resulting Numbers: [16]
16,100 unequal: No Solution
Exploring Operation: 23*39=897, Resulting Numbers: [897]
897,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 100:[58, 42], Operations: ['8+11=19', '23+19=42']
Exploring Operation: 58+42=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Moving to Node #0
Current State: 100:[8, 58, 11, 23], Operations: []
Exploring Operation: 8+11=19, Resulting Numbers: [58, 23, 19]
Generated Node #0,0: 100:[58, 23, 19] Operation: 8+11=19
Moving to Node #0,0
Current State: 100:[58, 23, 19], Operations: ['8+11=19']
Exploring Operation: 23+19=42, Resulting Numbers: [58, 42]
Generated Node #0,0,1: 100:[58, 42] Operation: 23+19=42
Moving to Node #0,0,1
Current State: 100:[58, 42], Operations: ['8+11=19', '23+19=42']
Exploring Operation: 58+42=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.943576 | hs_5 | sum_heuristic |
[
21,
52,
49,
72
] | 65 | [
"52-49=3",
"21/3=7",
"72-7=65"
] | Current State: 65:[21, 52, 49, 72], Operations: []
Exploring Operation: 52-49=3, Resulting Numbers: [21, 72, 3]
Generated Node #2: [21, 72, 3] from Operation: 52-49=3
Current State: 65:[21, 72, 3], Operations: ['52-49=3']
Exploring Operation: 21/3=7, Resulting Numbers: [72, 7]
Generated Node #3: [72, 7] from Operation: 21/3=7
Current State: 65:[72, 7], Operations: ['52-49=3', '21/3=7']
Exploring Operation: 72-7=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[21, 52, 49, 72], Operations: []
Exploring Operation: 21+52=73, Resulting Numbers: [49, 72, 73]
Generated Node #0,0: 65:[49, 72, 73] Operation: 21+52=73
Exploring Operation: 52-49=3, Resulting Numbers: [21, 72, 3]
Generated Node #0,1: 65:[21, 72, 3] Operation: 52-49=3
Exploring Operation: 72-52=20, Resulting Numbers: [21, 49, 20]
Generated Node #0,2: 65:[21, 49, 20] Operation: 72-52=20
Exploring Operation: 21+49=70, Resulting Numbers: [52, 72, 70]
Generated Node #0,3: 65:[52, 72, 70] Operation: 21+49=70
Moving to Node #0,1
Current State: 65:[21, 72, 3], Operations: ['52-49=3']
Exploring Operation: 21*3=63, Resulting Numbers: [72, 63]
Generated Node #0,1,0: 65:[72, 63] Operation: 21*3=63
Exploring Operation: 21/3=7, Resulting Numbers: [72, 7]
Generated Node #0,1,1: 65:[72, 7] Operation: 21/3=7
Exploring Operation: 21-3=18, Resulting Numbers: [72, 18]
Generated Node #0,1,2: 65:[72, 18] Operation: 21-3=18
Exploring Operation: 72-3=69, Resulting Numbers: [21, 69]
Generated Node #0,1,3: 65:[21, 69] Operation: 72-3=69
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 65:[72, 63], Operations: ['52-49=3', '21*3=63']
Exploring Operation: 72*63=4536, Resulting Numbers: [4536]
4536,65 unequal: No Solution
Exploring Operation: 72-63=9, Resulting Numbers: [9]
9,65 unequal: No Solution
Exploring Operation: 72+63=135, Resulting Numbers: [135]
135,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 65:[72, 7], Operations: ['52-49=3', '21/3=7']
Exploring Operation: 72+7=79, Resulting Numbers: [79]
79,65 unequal: No Solution
Exploring Operation: 72-7=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Moving to Node #0
Current State: 65:[21, 52, 49, 72], Operations: []
Exploring Operation: 52-49=3, Resulting Numbers: [21, 72, 3]
Generated Node #0,1: 65:[21, 72, 3] Operation: 52-49=3
Moving to Node #0,1
Current State: 65:[21, 72, 3], Operations: ['52-49=3']
Exploring Operation: 21/3=7, Resulting Numbers: [72, 7]
Generated Node #0,1,1: 65:[72, 7] Operation: 21/3=7
Moving to Node #0,1,1
Current State: 65:[72, 7], Operations: ['52-49=3', '21/3=7']
Exploring Operation: 72-7=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_4 | sum_heuristic |
[
26,
75,
73,
2
] | 15 | [
"26/2=13",
"75-73=2",
"13+2=15"
] | Current State: 15:[26, 75, 73, 2], Operations: []
Exploring Operation: 26/2=13, Resulting Numbers: [75, 73, 13]
Generated Node #2: [75, 73, 13] from Operation: 26/2=13
Current State: 15:[75, 73, 13], Operations: ['26/2=13']
Exploring Operation: 75-73=2, Resulting Numbers: [13, 2]
Generated Node #3: [13, 2] from Operation: 75-73=2
Current State: 15:[13, 2], Operations: ['26/2=13', '75-73=2']
Exploring Operation: 13+2=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[26, 75, 73, 2], Operations: []
Exploring Operation: 75-73=2, Resulting Numbers: [26, 2, 2]
Generated Node #0,0: 15:[26, 2, 2] Operation: 75-73=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 15:[26, 2, 2], Operations: ['75-73=2']
Exploring Operation: 26/2=13, Resulting Numbers: [2, 13]
Generated Node #0,0,0: 15:[2, 13] Operation: 26/2=13
Moving to Node #0,0,0
Current State: 15:[2, 13], Operations: ['75-73=2', '26/2=13']
Exploring Operation: 2+13=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Moving to Node #0
Current State: 15:[26, 75, 73, 2], Operations: []
Exploring Operation: 75-73=2, Resulting Numbers: [26, 2, 2]
Generated Node #0,0: 15:[26, 2, 2] Operation: 75-73=2
Moving to Node #0,0
Current State: 15:[26, 2, 2], Operations: ['75-73=2']
Exploring Operation: 26/2=13, Resulting Numbers: [2, 13]
Generated Node #0,0,0: 15:[2, 13] Operation: 26/2=13
Moving to Node #0,0,0
Current State: 15:[2, 13], Operations: ['75-73=2', '26/2=13']
Exploring Operation: 2+13=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
28,
23,
77,
43
] | 49 | [
"28*43=1204",
"1204-77=1127",
"1127/23=49"
] | Current State: 49:[28, 23, 77, 43], Operations: []
Exploring Operation: 28*43=1204, Resulting Numbers: [23, 77, 1204]
Generated Node #2: [23, 77, 1204] from Operation: 28*43=1204
Current State: 49:[23, 77, 1204], Operations: ['28*43=1204']
Exploring Operation: 1204-77=1127, Resulting Numbers: [23, 1127]
Generated Node #3: [23, 1127] from Operation: 1204-77=1127
Current State: 49:[23, 1127], Operations: ['28*43=1204', '1204-77=1127']
Exploring Operation: 1127/23=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[28, 23, 77, 43], Operations: []
Exploring Operation: 77-28=49, Resulting Numbers: [23, 43, 49]
Generated Node #0,0: 49:[23, 43, 49] Operation: 77-28=49
Exploring Operation: 28-23=5, Resulting Numbers: [77, 43, 5]
Generated Node #0,1: 49:[77, 43, 5] Operation: 28-23=5
Exploring Operation: 43-28=15, Resulting Numbers: [23, 77, 15]
Generated Node #0,2: 49:[23, 77, 15] Operation: 43-28=15
Exploring Operation: 28+23=51, Resulting Numbers: [77, 43, 51]
Generated Node #0,3: 49:[77, 43, 51] Operation: 28+23=51
Exploring Operation: 77-23=54, Resulting Numbers: [28, 43, 54]
Generated Node #0,4: 49:[28, 43, 54] Operation: 77-23=54
Start Sub Search at level 1: Moving to Node #0,0
Current State: 49:[23, 43, 49], Operations: ['77-28=49']
Exploring Operation: 23+49=72, Resulting Numbers: [43, 72]
Generated Node #0,0,0: 49:[43, 72] Operation: 23+49=72
Exploring Operation: 23+43=66, Resulting Numbers: [49, 66]
Generated Node #0,0,1: 49:[49, 66] Operation: 23+43=66
Exploring Operation: 49-23=26, Resulting Numbers: [43, 26]
Generated Node #0,0,2: 49:[43, 26] Operation: 49-23=26
Exploring Operation: 49-43=6, Resulting Numbers: [23, 6]
Generated Node #0,0,3: 49:[23, 6] Operation: 49-43=6
Exploring Operation: 43-23=20, Resulting Numbers: [49, 20]
Generated Node #0,0,4: 49:[49, 20] Operation: 43-23=20
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 49:[49, 20], Operations: ['77-28=49', '43-23=20']
Exploring Operation: 49+20=69, Resulting Numbers: [69]
69,49 unequal: No Solution
Exploring Operation: 49-20=29, Resulting Numbers: [29]
29,49 unequal: No Solution
Exploring Operation: 49*20=980, Resulting Numbers: [980]
980,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 49:[49, 66], Operations: ['77-28=49', '23+43=66']
Exploring Operation: 66-49=17, Resulting Numbers: [17]
17,49 unequal: No Solution
Exploring Operation: 49+66=115, Resulting Numbers: [115]
115,49 unequal: No Solution
Exploring Operation: 49*66=3234, Resulting Numbers: [3234]
3234,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 49:[23, 6], Operations: ['77-28=49', '49-43=6']
Exploring Operation: 23+6=29, Resulting Numbers: [29]
29,49 unequal: No Solution
Exploring Operation: 23*6=138, Resulting Numbers: [138]
138,49 unequal: No Solution
Exploring Operation: 23-6=17, Resulting Numbers: [17]
17,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 49:[43, 26], Operations: ['77-28=49', '49-23=26']
Exploring Operation: 43*26=1118, Resulting Numbers: [1118]
1118,49 unequal: No Solution
Exploring Operation: 43+26=69, Resulting Numbers: [69]
69,49 unequal: No Solution
Exploring Operation: 43-26=17, Resulting Numbers: [17]
17,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 49:[43, 72], Operations: ['77-28=49', '23+49=72']
Exploring Operation: 43*72=3096, Resulting Numbers: [3096]
3096,49 unequal: No Solution
Exploring Operation: 43+72=115, Resulting Numbers: [115]
115,49 unequal: No Solution
Exploring Operation: 72-43=29, Resulting Numbers: [29]
29,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 49:[28, 43, 54], Operations: ['77-23=54']
Exploring Operation: 28+43=71, Resulting Numbers: [54, 71]
Generated Node #0,4,0: 49:[54, 71] Operation: 28+43=71
Exploring Operation: 54-28=26, Resulting Numbers: [43, 26]
Generated Node #0,4,1: 49:[43, 26] Operation: 54-28=26
Exploring Operation: 28+54=82, Resulting Numbers: [43, 82]
Generated Node #0,4,2: 49:[43, 82] Operation: 28+54=82
Exploring Operation: 54-43=11, Resulting Numbers: [28, 11]
Generated Node #0,4,3: 49:[28, 11] Operation: 54-43=11
Exploring Operation: 43-28=15, Resulting Numbers: [54, 15]
Generated Node #0,4,4: 49:[54, 15] Operation: 43-28=15
Moving to Node #0,4,4
Current State: 49:[54, 15], Operations: ['77-23=54', '43-28=15']
Exploring Operation: 54+15=69, Resulting Numbers: [69]
69,49 unequal: No Solution
Exploring Operation: 54-15=39, Resulting Numbers: [39]
39,49 unequal: No Solution
Exploring Operation: 54*15=810, Resulting Numbers: [810]
810,49 unequal: No Solution
Moving to Node #0,4,3
Current State: 49:[28, 11], Operations: ['77-23=54', '54-43=11']
Exploring Operation: 28+11=39, Resulting Numbers: [39]
39,49 unequal: No Solution
Exploring Operation: 28*11=308, Resulting Numbers: [308]
308,49 unequal: No Solution
Exploring Operation: 28-11=17, Resulting Numbers: [17]
17,49 unequal: No Solution
Moving to Node #0,4,1
Current State: 49:[43, 26], Operations: ['77-23=54', '54-28=26']
Exploring Operation: 43+26=69, Resulting Numbers: [69]
69,49 unequal: No Solution
Exploring Operation: 43*26=1118, Resulting Numbers: [1118]
1118,49 unequal: No Solution
Exploring Operation: 43-26=17, Resulting Numbers: [17]
17,49 unequal: No Solution
Moving to Node #0,4,0
Current State: 49:[54, 71], Operations: ['77-23=54', '28+43=71']
Exploring Operation: 54+71=125, Resulting Numbers: [125]
125,49 unequal: No Solution
Exploring Operation: 71-54=17, Resulting Numbers: [17]
17,49 unequal: No Solution
Exploring Operation: 54*71=3834, Resulting Numbers: [3834]
3834,49 unequal: No Solution
Moving to Node #0,4,2
Current State: 49:[43, 82], Operations: ['77-23=54', '28+54=82']
Exploring Operation: 82-43=39, Resulting Numbers: [39]
39,49 unequal: No Solution
Exploring Operation: 43+82=125, Resulting Numbers: [125]
125,49 unequal: No Solution
Exploring Operation: 43*82=3526, Resulting Numbers: [3526]
3526,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 49:[77, 43, 5], Operations: ['28-23=5']
Exploring Operation: 43+5=48, Resulting Numbers: [77, 48]
Generated Node #0,1,0: 49:[77, 48] Operation: 43+5=48
Exploring Operation: 77+5=82, Resulting Numbers: [43, 82]
Generated Node #0,1,1: 49:[43, 82] Operation: 77+5=82
Exploring Operation: 77-43=34, Resulting Numbers: [5, 34]
Generated Node #0,1,2: 49:[5, 34] Operation: 77-43=34
Exploring Operation: 77-5=72, Resulting Numbers: [43, 72]
Generated Node #0,1,3: 49:[43, 72] Operation: 77-5=72
Exploring Operation: 43-5=38, Resulting Numbers: [77, 38]
Generated Node #0,1,4: 49:[77, 38] Operation: 43-5=38
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 49:[5, 34], Operations: ['28-23=5', '77-43=34']
Exploring Operation: 5*34=170, Resulting Numbers: [170]
170,49 unequal: No Solution
Exploring Operation: 34-5=29, Resulting Numbers: [29]
29,49 unequal: No Solution
Exploring Operation: 5+34=39, Resulting Numbers: [39]
39,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 49:[77, 48], Operations: ['28-23=5', '43+5=48']
Exploring Operation: 77*48=3696, Resulting Numbers: [3696]
3696,49 unequal: No Solution
Exploring Operation: 77+48=125, Resulting Numbers: [125]
125,49 unequal: No Solution
Exploring Operation: 77-48=29, Resulting Numbers: [29]
29,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 49:[43, 72], Operations: ['28-23=5', '77-5=72']
Exploring Operation: 43*72=3096, Resulting Numbers: [3096]
3096,49 unequal: No Solution
Exploring Operation: 43+72=115, Resulting Numbers: [115]
115,49 unequal: No Solution
Exploring Operation: 72-43=29, Resulting Numbers: [29]
29,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 49:[43, 82], Operations: ['28-23=5', '77+5=82']
Exploring Operation: 43*82=3526, Resulting Numbers: [3526]
3526,49 unequal: No Solution
Exploring Operation: 43+82=125, Resulting Numbers: [125]
125,49 unequal: No Solution
Exploring Operation: 82-43=39, Resulting Numbers: [39]
39,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 49:[77, 38], Operations: ['28-23=5', '43-5=38']
Exploring Operation: 77-38=39, Resulting Numbers: [39]
39,49 unequal: No Solution
Exploring Operation: 77+38=115, Resulting Numbers: [115]
115,49 unequal: No Solution
Exploring Operation: 77*38=2926, Resulting Numbers: [2926]
2926,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 49:[77, 43, 51], Operations: ['28+23=51']
Exploring Operation: 43+51=94, Resulting Numbers: [77, 94]
Generated Node #0,3,0: 49:[77, 94] Operation: 43+51=94
Exploring Operation: 77-51=26, Resulting Numbers: [43, 26]
Generated Node #0,3,1: 49:[43, 26] Operation: 77-51=26
Exploring Operation: 77-43=34, Resulting Numbers: [51, 34]
Generated Node #0,3,2: 49:[51, 34] Operation: 77-43=34
Exploring Operation: 51-43=8, Resulting Numbers: [77, 8]
Generated Node #0,3,3: 49:[77, 8] Operation: 51-43=8
Exploring Operation: 77+43=120, Resulting Numbers: [51, 120]
Generated Node #0,3,4: 49:[51, 120] Operation: 77+43=120
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 49:[51, 34], Operations: ['28+23=51', '77-43=34']
Exploring Operation: 51*34=1734, Resulting Numbers: [1734]
1734,49 unequal: No Solution
Exploring Operation: 51-34=17, Resulting Numbers: [17]
17,49 unequal: No Solution
Exploring Operation: 51+34=85, Resulting Numbers: [85]
85,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 49:[43, 26], Operations: ['28+23=51', '77-51=26']
Exploring Operation: 43*26=1118, Resulting Numbers: [1118]
1118,49 unequal: No Solution
Exploring Operation: 43+26=69, Resulting Numbers: [69]
69,49 unequal: No Solution
Exploring Operation: 43-26=17, Resulting Numbers: [17]
17,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 49:[77, 8], Operations: ['28+23=51', '51-43=8']
Exploring Operation: 77+8=85, Resulting Numbers: [85]
85,49 unequal: No Solution
Exploring Operation: 77*8=616, Resulting Numbers: [616]
616,49 unequal: No Solution
Exploring Operation: 77-8=69, Resulting Numbers: [69]
69,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 49:[77, 94], Operations: ['28+23=51', '43+51=94']
Exploring Operation: 77+94=171, Resulting Numbers: [171]
171,49 unequal: No Solution
Exploring Operation: 94-77=17, Resulting Numbers: [17]
17,49 unequal: No Solution
Exploring Operation: 77*94=7238, Resulting Numbers: [7238]
7238,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 49:[51, 120], Operations: ['28+23=51', '77+43=120']
Exploring Operation: 120-51=69, Resulting Numbers: [69]
69,49 unequal: No Solution
Exploring Operation: 51+120=171, Resulting Numbers: [171]
171,49 unequal: No Solution
Exploring Operation: 51*120=6120, Resulting Numbers: [6120]
6120,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 49:[23, 77, 15], Operations: ['43-28=15']
Exploring Operation: 23-15=8, Resulting Numbers: [77, 8]
Generated Node #0,2,0: 49:[77, 8] Operation: 23-15=8
Exploring Operation: 23+15=38, Resulting Numbers: [77, 38]
Generated Node #0,2,1: 49:[77, 38] Operation: 23+15=38
Exploring Operation: 77-15=62, Resulting Numbers: [23, 62]
Generated Node #0,2,2: 49:[23, 62] Operation: 77-15=62
Exploring Operation: 23+77=100, Resulting Numbers: [15, 100]
Generated Node #0,2,3: 49:[15, 100] Operation: 23+77=100
Exploring Operation: 77-23=54, Resulting Numbers: [15, 54]
Generated Node #0,2,4: 49:[15, 54] Operation: 77-23=54
Moving to Node #0,2,4
Current State: 49:[15, 54], Operations: ['43-28=15', '77-23=54']
Exploring Operation: 15+54=69, Resulting Numbers: [69]
69,49 unequal: No Solution
Exploring Operation: 15*54=810, Resulting Numbers: [810]
810,49 unequal: No Solution
Exploring Operation: 54-15=39, Resulting Numbers: [39]
39,49 unequal: No Solution
Moving to Node #0,2,2
Current State: 49:[23, 62], Operations: ['43-28=15', '77-15=62']
Exploring Operation: 23*62=1426, Resulting Numbers: [1426]
1426,49 unequal: No Solution
Exploring Operation: 23+62=85, Resulting Numbers: [85]
85,49 unequal: No Solution
Exploring Operation: 62-23=39, Resulting Numbers: [39]
39,49 unequal: No Solution
Moving to Node #0,2,0
Current State: 49:[77, 8], Operations: ['43-28=15', '23-15=8']
Exploring Operation: 77+8=85, Resulting Numbers: [85]
85,49 unequal: No Solution
Exploring Operation: 77*8=616, Resulting Numbers: [616]
616,49 unequal: No Solution
Exploring Operation: 77-8=69, Resulting Numbers: [69]
69,49 unequal: No Solution
Moving to Node #0,2,1
Current State: 49:[77, 38], Operations: ['43-28=15', '23+15=38']
Exploring Operation: 77-38=39, Resulting Numbers: [39]
39,49 unequal: No Solution
Exploring Operation: 77*38=2926, Resulting Numbers: [2926]
2926,49 unequal: No Solution
Exploring Operation: 77+38=115, Resulting Numbers: [115]
115,49 unequal: No Solution
Moving to Node #0,2,3
Current State: 49:[15, 100], Operations: ['43-28=15', '23+77=100']
Exploring Operation: 15+100=115, Resulting Numbers: [115]
115,49 unequal: No Solution
Exploring Operation: 100-15=85, Resulting Numbers: [85]
85,49 unequal: No Solution
Exploring Operation: 15*100=1500, Resulting Numbers: [1500]
1500,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
85,
24,
36,
90
] | 10 | [
"85*36=3060",
"3060/90=34",
"34-24=10"
] | Current State: 10:[85, 24, 36, 90], Operations: []
Exploring Operation: 85*36=3060, Resulting Numbers: [24, 90, 3060]
Generated Node #2: [24, 90, 3060] from Operation: 85*36=3060
Current State: 10:[24, 90, 3060], Operations: ['85*36=3060']
Exploring Operation: 3060/90=34, Resulting Numbers: [24, 34]
Generated Node #3: [24, 34] from Operation: 3060/90=34
Current State: 10:[24, 34], Operations: ['85*36=3060', '3060/90=34']
Exploring Operation: 34-24=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[85, 24, 36, 90], Operations: []
Exploring Operation: 90-36=54, Resulting Numbers: [85, 24, 54]
Generated Node #0,0: 10:[85, 24, 54] Operation: 90-36=54
Exploring Operation: 36-24=12, Resulting Numbers: [85, 90, 12]
Generated Node #0,1: 10:[85, 90, 12] Operation: 36-24=12
Exploring Operation: 85-24=61, Resulting Numbers: [36, 90, 61]
Generated Node #0,2: 10:[36, 90, 61] Operation: 85-24=61
Exploring Operation: 85-36=49, Resulting Numbers: [24, 90, 49]
Generated Node #0,3: 10:[24, 90, 49] Operation: 85-36=49
Exploring Operation: 90-85=5, Resulting Numbers: [24, 36, 5]
Generated Node #0,4: 10:[24, 36, 5] Operation: 90-85=5
Moving to Node #0,4
Current State: 10:[24, 36, 5], Operations: ['90-85=5']
Exploring Operation: 24-5=19, Resulting Numbers: [36, 19]
Generated Node #0,4,0: 10:[36, 19] Operation: 24-5=19
Exploring Operation: 24+5=29, Resulting Numbers: [36, 29]
Generated Node #0,4,1: 10:[36, 29] Operation: 24+5=29
Exploring Operation: 36-24=12, Resulting Numbers: [5, 12]
Generated Node #0,4,2: 10:[5, 12] Operation: 36-24=12
Exploring Operation: 36-5=31, Resulting Numbers: [24, 31]
Generated Node #0,4,3: 10:[24, 31] Operation: 36-5=31
Exploring Operation: 36+5=41, Resulting Numbers: [24, 41]
Generated Node #0,4,4: 10:[24, 41] Operation: 36+5=41
Moving to Node #0,3
Current State: 10:[24, 90, 49], Operations: ['85-36=49']
Exploring Operation: 24+90=114, Resulting Numbers: [49, 114]
Generated Node #0,3,0: 10:[49, 114] Operation: 24+90=114
Exploring Operation: 90-49=41, Resulting Numbers: [24, 41]
Generated Node #0,3,1: 10:[24, 41] Operation: 90-49=41
Exploring Operation: 49-24=25, Resulting Numbers: [90, 25]
Generated Node #0,3,2: 10:[90, 25] Operation: 49-24=25
Exploring Operation: 24+49=73, Resulting Numbers: [90, 73]
Generated Node #0,3,3: 10:[90, 73] Operation: 24+49=73
Exploring Operation: 90-24=66, Resulting Numbers: [49, 66]
Generated Node #0,3,4: 10:[49, 66] Operation: 90-24=66
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 10:[24, 41], Operations: ['85-36=49', '90-49=41']
Exploring Operation: 24*41=984, Resulting Numbers: [984]
984,10 unequal: No Solution
Exploring Operation: 41-24=17, Resulting Numbers: [17]
17,10 unequal: No Solution
Exploring Operation: 24+41=65, Resulting Numbers: [65]
65,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 10:[90, 25], Operations: ['85-36=49', '49-24=25']
Exploring Operation: 90-25=65, Resulting Numbers: [65]
65,10 unequal: No Solution
Exploring Operation: 90*25=2250, Resulting Numbers: [2250]
2250,10 unequal: No Solution
Exploring Operation: 90+25=115, Resulting Numbers: [115]
115,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 10:[49, 66], Operations: ['85-36=49', '90-24=66']
Exploring Operation: 49+66=115, Resulting Numbers: [115]
115,10 unequal: No Solution
Exploring Operation: 66-49=17, Resulting Numbers: [17]
17,10 unequal: No Solution
Exploring Operation: 49*66=3234, Resulting Numbers: [3234]
3234,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 10:[49, 114], Operations: ['85-36=49', '24+90=114']
Exploring Operation: 114-49=65, Resulting Numbers: [65]
65,10 unequal: No Solution
Exploring Operation: 49+114=163, Resulting Numbers: [163]
163,10 unequal: No Solution
Exploring Operation: 49*114=5586, Resulting Numbers: [5586]
5586,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 10:[90, 73], Operations: ['85-36=49', '24+49=73']
Exploring Operation: 90+73=163, Resulting Numbers: [163]
163,10 unequal: No Solution
Exploring Operation: 90*73=6570, Resulting Numbers: [6570]
6570,10 unequal: No Solution
Exploring Operation: 90-73=17, Resulting Numbers: [17]
17,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 10:[85, 24, 54], Operations: ['90-36=54']
Exploring Operation: 85-54=31, Resulting Numbers: [24, 31]
Generated Node #0,0,0: 10:[24, 31] Operation: 85-54=31
Exploring Operation: 85+24=109, Resulting Numbers: [54, 109]
Generated Node #0,0,1: 10:[54, 109] Operation: 85+24=109
Exploring Operation: 85-24=61, Resulting Numbers: [54, 61]
Generated Node #0,0,2: 10:[54, 61] Operation: 85-24=61
Exploring Operation: 85+54=139, Resulting Numbers: [24, 139]
Generated Node #0,0,3: 10:[24, 139] Operation: 85+54=139
Exploring Operation: 54-24=30, Resulting Numbers: [85, 30]
Generated Node #0,0,4: 10:[85, 30] Operation: 54-24=30
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 10:[24, 31], Operations: ['90-36=54', '85-54=31']
Exploring Operation: 24*31=744, Resulting Numbers: [744]
744,10 unequal: No Solution
Exploring Operation: 24+31=55, Resulting Numbers: [55]
55,10 unequal: No Solution
Exploring Operation: 31-24=7, Resulting Numbers: [7]
7,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 10:[54, 61], Operations: ['90-36=54', '85-24=61']
Exploring Operation: 54+61=115, Resulting Numbers: [115]
115,10 unequal: No Solution
Exploring Operation: 54*61=3294, Resulting Numbers: [3294]
3294,10 unequal: No Solution
Exploring Operation: 61-54=7, Resulting Numbers: [7]
7,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 10:[85, 30], Operations: ['90-36=54', '54-24=30']
Exploring Operation: 85+30=115, Resulting Numbers: [115]
115,10 unequal: No Solution
Exploring Operation: 85-30=55, Resulting Numbers: [55]
55,10 unequal: No Solution
Exploring Operation: 85*30=2550, Resulting Numbers: [2550]
2550,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 10:[54, 109], Operations: ['90-36=54', '85+24=109']
Exploring Operation: 109-54=55, Resulting Numbers: [55]
55,10 unequal: No Solution
Exploring Operation: 54*109=5886, Resulting Numbers: [5886]
5886,10 unequal: No Solution
Exploring Operation: 54+109=163, Resulting Numbers: [163]
163,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 10:[24, 139], Operations: ['90-36=54', '85+54=139']
Exploring Operation: 24*139=3336, Resulting Numbers: [3336]
3336,10 unequal: No Solution
Exploring Operation: 24+139=163, Resulting Numbers: [163]
163,10 unequal: No Solution
Exploring Operation: 139-24=115, Resulting Numbers: [115]
115,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 10:[85, 90, 12], Operations: ['36-24=12']
Exploring Operation: 85+12=97, Resulting Numbers: [90, 97]
Generated Node #0,1,0: 10:[90, 97] Operation: 85+12=97
Exploring Operation: 85-12=73, Resulting Numbers: [90, 73]
Generated Node #0,1,1: 10:[90, 73] Operation: 85-12=73
Exploring Operation: 90-85=5, Resulting Numbers: [12, 5]
Generated Node #0,1,2: 10:[12, 5] Operation: 90-85=5
Exploring Operation: 90-12=78, Resulting Numbers: [85, 78]
Generated Node #0,1,3: 10:[85, 78] Operation: 90-12=78
Exploring Operation: 85+90=175, Resulting Numbers: [12, 175]
Generated Node #0,1,4: 10:[12, 175] Operation: 85+90=175
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 10:[12, 5], Operations: ['36-24=12', '90-85=5']
Exploring Operation: 12*5=60, Resulting Numbers: [60]
60,10 unequal: No Solution
Exploring Operation: 12+5=17, Resulting Numbers: [17]
17,10 unequal: No Solution
Exploring Operation: 12-5=7, Resulting Numbers: [7]
7,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 10:[90, 73], Operations: ['36-24=12', '85-12=73']
Exploring Operation: 90-73=17, Resulting Numbers: [17]
17,10 unequal: No Solution
Exploring Operation: 90*73=6570, Resulting Numbers: [6570]
6570,10 unequal: No Solution
Exploring Operation: 90+73=163, Resulting Numbers: [163]
163,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 10:[85, 78], Operations: ['36-24=12', '90-12=78']
Exploring Operation: 85*78=6630, Resulting Numbers: [6630]
6630,10 unequal: No Solution
Exploring Operation: 85-78=7, Resulting Numbers: [7]
7,10 unequal: No Solution
Exploring Operation: 85+78=163, Resulting Numbers: [163]
163,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 10:[90, 97], Operations: ['36-24=12', '85+12=97']
Exploring Operation: 90*97=8730, Resulting Numbers: [8730]
8730,10 unequal: No Solution
Exploring Operation: 97-90=7, Resulting Numbers: [7]
7,10 unequal: No Solution
Exploring Operation: 90+97=187, Resulting Numbers: [187]
187,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 10:[12, 175], Operations: ['36-24=12', '85+90=175']
Exploring Operation: 175-12=163, Resulting Numbers: [163]
163,10 unequal: No Solution
Exploring Operation: 12*175=2100, Resulting Numbers: [2100]
2100,10 unequal: No Solution
Exploring Operation: 12+175=187, Resulting Numbers: [187]
187,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 10:[36, 90, 61], Operations: ['85-24=61']
Exploring Operation: 90-36=54, Resulting Numbers: [61, 54]
Generated Node #0,2,0: 10:[61, 54] Operation: 90-36=54
Exploring Operation: 36+90=126, Resulting Numbers: [61, 126]
Generated Node #0,2,1: 10:[61, 126] Operation: 36+90=126
Exploring Operation: 90-61=29, Resulting Numbers: [36, 29]
Generated Node #0,2,2: 10:[36, 29] Operation: 90-61=29
Exploring Operation: 36+61=97, Resulting Numbers: [90, 97]
Generated Node #0,2,3: 10:[90, 97] Operation: 36+61=97
Exploring Operation: 61-36=25, Resulting Numbers: [90, 25]
Generated Node #0,2,4: 10:[90, 25] Operation: 61-36=25
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 10:[36, 29], Operations: ['85-24=61', '90-61=29']
Exploring Operation: 36-29=7, Resulting Numbers: [7]
7,10 unequal: No Solution
Exploring Operation: 36*29=1044, Resulting Numbers: [1044]
1044,10 unequal: No Solution
Exploring Operation: 36+29=65, Resulting Numbers: [65]
65,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 10:[61, 54], Operations: ['85-24=61', '90-36=54']
Exploring Operation: 61-54=7, Resulting Numbers: [7]
7,10 unequal: No Solution
Exploring Operation: 61+54=115, Resulting Numbers: [115]
115,10 unequal: No Solution
Exploring Operation: 61*54=3294, Resulting Numbers: [3294]
3294,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 10:[90, 25], Operations: ['85-24=61', '61-36=25']
Exploring Operation: 90+25=115, Resulting Numbers: [115]
115,10 unequal: No Solution
Exploring Operation: 90-25=65, Resulting Numbers: [65]
65,10 unequal: No Solution
Exploring Operation: 90*25=2250, Resulting Numbers: [2250]
2250,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 10:[61, 126], Operations: ['85-24=61', '36+90=126']
Exploring Operation: 126-61=65, Resulting Numbers: [65]
65,10 unequal: No Solution
Exploring Operation: 61*126=7686, Resulting Numbers: [7686]
7686,10 unequal: No Solution
Exploring Operation: 61+126=187, Resulting Numbers: [187]
187,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 10:[90, 97], Operations: ['85-24=61', '36+61=97']
Exploring Operation: 97-90=7, Resulting Numbers: [7]
7,10 unequal: No Solution
Exploring Operation: 90+97=187, Resulting Numbers: [187]
187,10 unequal: No Solution
Exploring Operation: 90*97=8730, Resulting Numbers: [8730]
8730,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4,2
Current State: 10:[5, 12], Operations: ['90-85=5', '36-24=12']
Exploring Operation: 12-5=7, Resulting Numbers: [7]
7,10 unequal: No Solution
Exploring Operation: 5*12=60, Resulting Numbers: [60]
60,10 unequal: No Solution
Exploring Operation: 5+12=17, Resulting Numbers: [17]
17,10 unequal: No Solution
Moving to Node #0,4,3
Current State: 10:[24, 31], Operations: ['90-85=5', '36-5=31']
Exploring Operation: 31-24=7, Resulting Numbers: [7]
7,10 unequal: No Solution
Exploring Operation: 24+31=55, Resulting Numbers: [55]
55,10 unequal: No Solution
Exploring Operation: 24*31=744, Resulting Numbers: [744]
744,10 unequal: No Solution
Moving to Node #0,4,0
Current State: 10:[36, 19], Operations: ['90-85=5', '24-5=19']
Exploring Operation: 36-19=17, Resulting Numbers: [17]
17,10 unequal: No Solution
Exploring Operation: 36*19=684, Resulting Numbers: [684]
684,10 unequal: No Solution
Exploring Operation: 36+19=55, Resulting Numbers: [55]
55,10 unequal: No Solution
Moving to Node #0,4,1
Current State: 10:[36, 29], Operations: ['90-85=5', '24+5=29']
Exploring Operation: 36*29=1044, Resulting Numbers: [1044]
1044,10 unequal: No Solution
Exploring Operation: 36+29=65, Resulting Numbers: [65]
65,10 unequal: No Solution
Exploring Operation: 36-29=7, Resulting Numbers: [7]
7,10 unequal: No Solution
Moving to Node #0,4,4
Current State: 10:[24, 41], Operations: ['90-85=5', '36+5=41']
Exploring Operation: 41-24=17, Resulting Numbers: [17]
17,10 unequal: No Solution
Exploring Operation: 24+41=65, Resulting Numbers: [65]
65,10 unequal: No Solution
Exploring Operation: 24*41=984, Resulting Numbers: [984]
984,10 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
78,
93,
23,
80
] | 72 | [
"93-78=15",
"80-23=57",
"15+57=72"
] | Current State: 72:[78, 93, 23, 80], Operations: []
Exploring Operation: 93-78=15, Resulting Numbers: [23, 80, 15]
Generated Node #2: [23, 80, 15] from Operation: 93-78=15
Current State: 72:[23, 80, 15], Operations: ['93-78=15']
Exploring Operation: 80-23=57, Resulting Numbers: [15, 57]
Generated Node #3: [15, 57] from Operation: 80-23=57
Current State: 72:[15, 57], Operations: ['93-78=15', '80-23=57']
Exploring Operation: 15+57=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[78, 93, 23, 80], Operations: []
Exploring Operation: 93-80=13, Resulting Numbers: [78, 23, 13]
Generated Node #0,0: 72:[78, 23, 13] Operation: 93-80=13
Moving to Node #0,0
Current State: 72:[78, 23, 13], Operations: ['93-80=13']
Exploring Operation: 78/13=6, Resulting Numbers: [23, 6]
Generated Node #0,0,0: 72:[23, 6] Operation: 78/13=6
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 72:[23, 6], Operations: ['93-80=13', '78/13=6']
Exploring Operation: 23-6=17, Resulting Numbers: [17]
17,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
30,
10,
57,
8
] | 69 | [
"30-10=20",
"57-8=49",
"20+49=69"
] | Current State: 69:[30, 10, 57, 8], Operations: []
Exploring Operation: 30-10=20, Resulting Numbers: [57, 8, 20]
Generated Node #2: [57, 8, 20] from Operation: 30-10=20
Current State: 69:[57, 8, 20], Operations: ['30-10=20']
Exploring Operation: 57-8=49, Resulting Numbers: [20, 49]
Generated Node #3: [20, 49] from Operation: 57-8=49
Current State: 69:[20, 49], Operations: ['30-10=20', '57-8=49']
Exploring Operation: 20+49=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[30, 10, 57, 8], Operations: []
Exploring Operation: 57-30=27, Resulting Numbers: [10, 8, 27]
Generated Node #0,0: 69:[10, 8, 27] Operation: 57-30=27
Exploring Operation: 30-10=20, Resulting Numbers: [57, 8, 20]
Generated Node #0,1: 69:[57, 8, 20] Operation: 30-10=20
Exploring Operation: 10+57=67, Resulting Numbers: [30, 8, 67]
Generated Node #0,2: 69:[30, 8, 67] Operation: 10+57=67
Exploring Operation: 57+8=65, Resulting Numbers: [30, 10, 65]
Generated Node #0,3: 69:[30, 10, 65] Operation: 57+8=65
Exploring Operation: 30/10=3, Resulting Numbers: [57, 8, 3]
Generated Node #0,4: 69:[57, 8, 3] Operation: 30/10=3
Start Sub Search at level 1: Moving to Node #0,2
Current State: 69:[30, 8, 67], Operations: ['10+57=67']
Exploring Operation: 8+67=75, Resulting Numbers: [30, 75]
Generated Node #0,2,0: 69:[30, 75] Operation: 8+67=75
Exploring Operation: 67-8=59, Resulting Numbers: [30, 59]
Generated Node #0,2,1: 69:[30, 59] Operation: 67-8=59
Exploring Operation: 30-8=22, Resulting Numbers: [67, 22]
Generated Node #0,2,2: 69:[67, 22] Operation: 30-8=22
Exploring Operation: 67-30=37, Resulting Numbers: [8, 37]
Generated Node #0,2,3: 69:[8, 37] Operation: 67-30=37
Exploring Operation: 30+8=38, Resulting Numbers: [67, 38]
Generated Node #0,2,4: 69:[67, 38] Operation: 30+8=38
Moving to Node #0,2,2
Current State: 69:[67, 22], Operations: ['10+57=67', '30-8=22']
Exploring Operation: 67+22=89, Resulting Numbers: [89]
89,69 unequal: No Solution
Exploring Operation: 67*22=1474, Resulting Numbers: [1474]
1474,69 unequal: No Solution
Exploring Operation: 67-22=45, Resulting Numbers: [45]
45,69 unequal: No Solution
Moving to Node #0,2,0
Current State: 69:[30, 75], Operations: ['10+57=67', '8+67=75']
Exploring Operation: 30*75=2250, Resulting Numbers: [2250]
2250,69 unequal: No Solution
Exploring Operation: 75-30=45, Resulting Numbers: [45]
45,69 unequal: No Solution
Exploring Operation: 30+75=105, Resulting Numbers: [105]
105,69 unequal: No Solution
Moving to Node #0,2,1
Current State: 69:[30, 59], Operations: ['10+57=67', '67-8=59']
Exploring Operation: 59-30=29, Resulting Numbers: [29]
29,69 unequal: No Solution
Exploring Operation: 30*59=1770, Resulting Numbers: [1770]
1770,69 unequal: No Solution
Exploring Operation: 30+59=89, Resulting Numbers: [89]
89,69 unequal: No Solution
Moving to Node #0,2,4
Current State: 69:[67, 38], Operations: ['10+57=67', '30+8=38']
Exploring Operation: 67+38=105, Resulting Numbers: [105]
105,69 unequal: No Solution
Exploring Operation: 67-38=29, Resulting Numbers: [29]
29,69 unequal: No Solution
Exploring Operation: 67*38=2546, Resulting Numbers: [2546]
2546,69 unequal: No Solution
Moving to Node #0,2,3
Current State: 69:[8, 37], Operations: ['10+57=67', '67-30=37']
Exploring Operation: 8*37=296, Resulting Numbers: [296]
296,69 unequal: No Solution
Exploring Operation: 37-8=29, Resulting Numbers: [29]
29,69 unequal: No Solution
Exploring Operation: 8+37=45, Resulting Numbers: [45]
45,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 69:[10, 8, 27], Operations: ['57-30=27']
Exploring Operation: 27-10=17, Resulting Numbers: [8, 17]
Generated Node #0,0,0: 69:[8, 17] Operation: 27-10=17
Exploring Operation: 10*8=80, Resulting Numbers: [27, 80]
Generated Node #0,0,1: 69:[27, 80] Operation: 10*8=80
Exploring Operation: 27-8=19, Resulting Numbers: [10, 19]
Generated Node #0,0,2: 69:[10, 19] Operation: 27-8=19
Exploring Operation: 10+8=18, Resulting Numbers: [27, 18]
Generated Node #0,0,3: 69:[27, 18] Operation: 10+8=18
Exploring Operation: 10-8=2, Resulting Numbers: [27, 2]
Generated Node #0,0,4: 69:[27, 2] Operation: 10-8=2
Moving to Node #0,0,4
Current State: 69:[27, 2], Operations: ['57-30=27', '10-8=2']
Exploring Operation: 27*2=54, Resulting Numbers: [54]
54,69 unequal: No Solution
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,69 unequal: No Solution
Exploring Operation: 27+2=29, Resulting Numbers: [29]
29,69 unequal: No Solution
Moving to Node #0,0,3
Current State: 69:[27, 18], Operations: ['57-30=27', '10+8=18']
Exploring Operation: 27*18=486, Resulting Numbers: [486]
486,69 unequal: No Solution
Exploring Operation: 27+18=45, Resulting Numbers: [45]
45,69 unequal: No Solution
Exploring Operation: 27-18=9, Resulting Numbers: [9]
9,69 unequal: No Solution
Moving to Node #0,0,0
Current State: 69:[8, 17], Operations: ['57-30=27', '27-10=17']
Exploring Operation: 17-8=9, Resulting Numbers: [9]
9,69 unequal: No Solution
Exploring Operation: 8*17=136, Resulting Numbers: [136]
136,69 unequal: No Solution
Exploring Operation: 8+17=25, Resulting Numbers: [25]
25,69 unequal: No Solution
Moving to Node #0,0,2
Current State: 69:[10, 19], Operations: ['57-30=27', '27-8=19']
Exploring Operation: 10+19=29, Resulting Numbers: [29]
29,69 unequal: No Solution
Exploring Operation: 10*19=190, Resulting Numbers: [190]
190,69 unequal: No Solution
Exploring Operation: 19-10=9, Resulting Numbers: [9]
9,69 unequal: No Solution
Moving to Node #0,0,1
Current State: 69:[27, 80], Operations: ['57-30=27', '10*8=80']
Exploring Operation: 27*80=2160, Resulting Numbers: [2160]
2160,69 unequal: No Solution
Exploring Operation: 80-27=53, Resulting Numbers: [53]
53,69 unequal: No Solution
Exploring Operation: 27+80=107, Resulting Numbers: [107]
107,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 69:[57, 8, 3], Operations: ['30/10=3']
Exploring Operation: 57/3=19, Resulting Numbers: [8, 19]
Generated Node #0,4,0: 69:[8, 19] Operation: 57/3=19
Exploring Operation: 57+3=60, Resulting Numbers: [8, 60]
Generated Node #0,4,1: 69:[8, 60] Operation: 57+3=60
Exploring Operation: 8-3=5, Resulting Numbers: [57, 5]
Generated Node #0,4,2: 69:[57, 5] Operation: 8-3=5
Exploring Operation: 8*3=24, Resulting Numbers: [57, 24]
Generated Node #0,4,3: 69:[57, 24] Operation: 8*3=24
Exploring Operation: 57+8=65, Resulting Numbers: [3, 65]
Generated Node #0,4,4: 69:[3, 65] Operation: 57+8=65
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 69:[3, 65], Operations: ['30/10=3', '57+8=65']
Exploring Operation: 65-3=62, Resulting Numbers: [62]
62,69 unequal: No Solution
Exploring Operation: 3+65=68, Resulting Numbers: [68]
68,69 unequal: No Solution
Exploring Operation: 3*65=195, Resulting Numbers: [195]
195,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 69:[8, 19], Operations: ['30/10=3', '57/3=19']
Exploring Operation: 19-8=11, Resulting Numbers: [11]
11,69 unequal: No Solution
Exploring Operation: 8*19=152, Resulting Numbers: [152]
152,69 unequal: No Solution
Exploring Operation: 8+19=27, Resulting Numbers: [27]
27,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 69:[57, 24], Operations: ['30/10=3', '8*3=24']
Exploring Operation: 57-24=33, Resulting Numbers: [33]
33,69 unequal: No Solution
Exploring Operation: 57*24=1368, Resulting Numbers: [1368]
1368,69 unequal: No Solution
Exploring Operation: 57+24=81, Resulting Numbers: [81]
81,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 69:[8, 60], Operations: ['30/10=3', '57+3=60']
Exploring Operation: 8+60=68, Resulting Numbers: [68]
68,69 unequal: No Solution
Exploring Operation: 8*60=480, Resulting Numbers: [480]
480,69 unequal: No Solution
Exploring Operation: 60-8=52, Resulting Numbers: [52]
52,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 69:[57, 5], Operations: ['30/10=3', '8-3=5']
Exploring Operation: 57*5=285, Resulting Numbers: [285]
285,69 unequal: No Solution
Exploring Operation: 57-5=52, Resulting Numbers: [52]
52,69 unequal: No Solution
Exploring Operation: 57+5=62, Resulting Numbers: [62]
62,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 69:[30, 10, 65], Operations: ['57+8=65']
Exploring Operation: 30+10=40, Resulting Numbers: [65, 40]
Generated Node #0,3,0: 69:[65, 40] Operation: 30+10=40
Exploring Operation: 10+65=75, Resulting Numbers: [30, 75]
Generated Node #0,3,1: 69:[30, 75] Operation: 10+65=75
Exploring Operation: 30/10=3, Resulting Numbers: [65, 3]
Generated Node #0,3,2: 69:[65, 3] Operation: 30/10=3
Exploring Operation: 30-10=20, Resulting Numbers: [65, 20]
Generated Node #0,3,3: 69:[65, 20] Operation: 30-10=20
Exploring Operation: 65-30=35, Resulting Numbers: [10, 35]
Generated Node #0,3,4: 69:[10, 35] Operation: 65-30=35
Moving to Node #0,3,2
Current State: 69:[65, 3], Operations: ['57+8=65', '30/10=3']
Exploring Operation: 65-3=62, Resulting Numbers: [62]
62,69 unequal: No Solution
Exploring Operation: 65+3=68, Resulting Numbers: [68]
68,69 unequal: No Solution
Exploring Operation: 65*3=195, Resulting Numbers: [195]
195,69 unequal: No Solution
Moving to Node #0,3,3
Current State: 69:[65, 20], Operations: ['57+8=65', '30-10=20']
Exploring Operation: 65-20=45, Resulting Numbers: [45]
45,69 unequal: No Solution
Exploring Operation: 65*20=1300, Resulting Numbers: [1300]
1300,69 unequal: No Solution
Exploring Operation: 65+20=85, Resulting Numbers: [85]
85,69 unequal: No Solution
Moving to Node #0,3,1
Current State: 69:[30, 75], Operations: ['57+8=65', '10+65=75']
Exploring Operation: 75-30=45, Resulting Numbers: [45]
45,69 unequal: No Solution
Exploring Operation: 30+75=105, Resulting Numbers: [105]
105,69 unequal: No Solution
Exploring Operation: 30*75=2250, Resulting Numbers: [2250]
2250,69 unequal: No Solution
Moving to Node #0,3,4
Current State: 69:[10, 35], Operations: ['57+8=65', '65-30=35']
Exploring Operation: 10*35=350, Resulting Numbers: [350]
350,69 unequal: No Solution
Exploring Operation: 10+35=45, Resulting Numbers: [45]
45,69 unequal: No Solution
Exploring Operation: 35-10=25, Resulting Numbers: [25]
25,69 unequal: No Solution
Moving to Node #0,3,0
Current State: 69:[65, 40], Operations: ['57+8=65', '30+10=40']
Exploring Operation: 65-40=25, Resulting Numbers: [25]
25,69 unequal: No Solution
Exploring Operation: 65+40=105, Resulting Numbers: [105]
105,69 unequal: No Solution
Exploring Operation: 65*40=2600, Resulting Numbers: [2600]
2600,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 69:[57, 8, 20], Operations: ['30-10=20']
Exploring Operation: 57+20=77, Resulting Numbers: [8, 77]
Generated Node #0,1,0: 69:[8, 77] Operation: 57+20=77
Exploring Operation: 57-20=37, Resulting Numbers: [8, 37]
Generated Node #0,1,1: 69:[8, 37] Operation: 57-20=37
Exploring Operation: 8+20=28, Resulting Numbers: [57, 28]
Generated Node #0,1,2: 69:[57, 28] Operation: 8+20=28
Exploring Operation: 57+8=65, Resulting Numbers: [20, 65]
Generated Node #0,1,3: 69:[20, 65] Operation: 57+8=65
Exploring Operation: 20-8=12, Resulting Numbers: [57, 12]
Generated Node #0,1,4: 69:[57, 12] Operation: 20-8=12
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 69:[20, 65], Operations: ['30-10=20', '57+8=65']
Exploring Operation: 65-20=45, Resulting Numbers: [45]
45,69 unequal: No Solution
Exploring Operation: 20+65=85, Resulting Numbers: [85]
85,69 unequal: No Solution
Exploring Operation: 20*65=1300, Resulting Numbers: [1300]
1300,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 69:[8, 77], Operations: ['30-10=20', '57+20=77']
Exploring Operation: 77-8=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Moving to Node #0
Current State: 69:[30, 10, 57, 8], Operations: []
Exploring Operation: 30-10=20, Resulting Numbers: [57, 8, 20]
Generated Node #0,1: 69:[57, 8, 20] Operation: 30-10=20
Moving to Node #0,1
Current State: 69:[57, 8, 20], Operations: ['30-10=20']
Exploring Operation: 57+20=77, Resulting Numbers: [8, 77]
Generated Node #0,1,0: 69:[8, 77] Operation: 57+20=77
Moving to Node #0,1,0
Current State: 69:[8, 77], Operations: ['30-10=20', '57+20=77']
Exploring Operation: 77-8=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.914931 | hs_5 | mult_heuristic |
[
70,
22,
10,
73
] | 88 | [
"70/10=7",
"22+73=95",
"95-7=88"
] | Current State: 88:[70, 22, 10, 73], Operations: []
Exploring Operation: 70/10=7, Resulting Numbers: [22, 73, 7]
Generated Node #2: [22, 73, 7] from Operation: 70/10=7
Current State: 88:[22, 73, 7], Operations: ['70/10=7']
Exploring Operation: 22+73=95, Resulting Numbers: [7, 95]
Generated Node #3: [7, 95] from Operation: 22+73=95
Current State: 88:[7, 95], Operations: ['70/10=7', '22+73=95']
Exploring Operation: 95-7=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[70, 22, 10, 73], Operations: []
Exploring Operation: 70/10=7, Resulting Numbers: [22, 73, 7]
Generated Node #0,0: 88:[22, 73, 7] Operation: 70/10=7
Exploring Operation: 70+22=92, Resulting Numbers: [10, 73, 92]
Generated Node #0,1: 88:[10, 73, 92] Operation: 70+22=92
Exploring Operation: 70+10=80, Resulting Numbers: [22, 73, 80]
Generated Node #0,2: 88:[22, 73, 80] Operation: 70+10=80
Exploring Operation: 73-70=3, Resulting Numbers: [22, 10, 3]
Generated Node #0,3: 88:[22, 10, 3] Operation: 73-70=3
Exploring Operation: 70-22=48, Resulting Numbers: [10, 73, 48]
Generated Node #0,4: 88:[10, 73, 48] Operation: 70-22=48
Moving to Node #0,3
Current State: 88:[22, 10, 3], Operations: ['73-70=3']
Exploring Operation: 22+3=25, Resulting Numbers: [10, 25]
Generated Node #0,3,0: 88:[10, 25] Operation: 22+3=25
Exploring Operation: 22-3=19, Resulting Numbers: [10, 19]
Generated Node #0,3,1: 88:[10, 19] Operation: 22-3=19
Exploring Operation: 10+3=13, Resulting Numbers: [22, 13]
Generated Node #0,3,2: 88:[22, 13] Operation: 10+3=13
Exploring Operation: 22-10=12, Resulting Numbers: [3, 12]
Generated Node #0,3,3: 88:[3, 12] Operation: 22-10=12
Exploring Operation: 10-3=7, Resulting Numbers: [22, 7]
Generated Node #0,3,4: 88:[22, 7] Operation: 10-3=7
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 88:[22, 7], Operations: ['73-70=3', '10-3=7']
Exploring Operation: 22*7=154, Resulting Numbers: [154]
154,88 unequal: No Solution
Exploring Operation: 22+7=29, Resulting Numbers: [29]
29,88 unequal: No Solution
Exploring Operation: 22-7=15, Resulting Numbers: [15]
15,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 88:[22, 13], Operations: ['73-70=3', '10+3=13']
Exploring Operation: 22*13=286, Resulting Numbers: [286]
286,88 unequal: No Solution
Exploring Operation: 22+13=35, Resulting Numbers: [35]
35,88 unequal: No Solution
Exploring Operation: 22-13=9, Resulting Numbers: [9]
9,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 88:[3, 12], Operations: ['73-70=3', '22-10=12']
Exploring Operation: 3+12=15, Resulting Numbers: [15]
15,88 unequal: No Solution
Exploring Operation: 3*12=36, Resulting Numbers: [36]
36,88 unequal: No Solution
Exploring Operation: 12/3=4, Resulting Numbers: [4]
4,88 unequal: No Solution
Exploring Operation: 12-3=9, Resulting Numbers: [9]
9,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 88:[10, 25], Operations: ['73-70=3', '22+3=25']
Exploring Operation: 25-10=15, Resulting Numbers: [15]
15,88 unequal: No Solution
Exploring Operation: 10*25=250, Resulting Numbers: [250]
250,88 unequal: No Solution
Exploring Operation: 10+25=35, Resulting Numbers: [35]
35,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 88:[10, 19], Operations: ['73-70=3', '22-3=19']
Exploring Operation: 10*19=190, Resulting Numbers: [190]
190,88 unequal: No Solution
Exploring Operation: 10+19=29, Resulting Numbers: [29]
29,88 unequal: No Solution
Exploring Operation: 19-10=9, Resulting Numbers: [9]
9,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 88:[22, 73, 7], Operations: ['70/10=7']
Exploring Operation: 22+73=95, Resulting Numbers: [7, 95]
Generated Node #0,0,0: 88:[7, 95] Operation: 22+73=95
Exploring Operation: 73+7=80, Resulting Numbers: [22, 80]
Generated Node #0,0,1: 88:[22, 80] Operation: 73+7=80
Exploring Operation: 73-22=51, Resulting Numbers: [7, 51]
Generated Node #0,0,2: 88:[7, 51] Operation: 73-22=51
Exploring Operation: 22+7=29, Resulting Numbers: [73, 29]
Generated Node #0,0,3: 88:[73, 29] Operation: 22+7=29
Exploring Operation: 22-7=15, Resulting Numbers: [73, 15]
Generated Node #0,0,4: 88:[73, 15] Operation: 22-7=15
Moving to Node #0,1
Current State: 88:[10, 73, 92], Operations: ['70+22=92']
Exploring Operation: 73-10=63, Resulting Numbers: [92, 63]
Generated Node #0,1,0: 88:[92, 63] Operation: 73-10=63
Exploring Operation: 10+73=83, Resulting Numbers: [92, 83]
Generated Node #0,1,1: 88:[92, 83] Operation: 10+73=83
Exploring Operation: 92-73=19, Resulting Numbers: [10, 19]
Generated Node #0,1,2: 88:[10, 19] Operation: 92-73=19
Exploring Operation: 10+92=102, Resulting Numbers: [73, 102]
Generated Node #0,1,3: 88:[73, 102] Operation: 10+92=102
Exploring Operation: 92-10=82, Resulting Numbers: [73, 82]
Generated Node #0,1,4: 88:[73, 82] Operation: 92-10=82
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 88:[10, 19], Operations: ['70+22=92', '92-73=19']
Exploring Operation: 19-10=9, Resulting Numbers: [9]
9,88 unequal: No Solution
Exploring Operation: 10+19=29, Resulting Numbers: [29]
29,88 unequal: No Solution
Exploring Operation: 10*19=190, Resulting Numbers: [190]
190,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 88:[92, 83], Operations: ['70+22=92', '10+73=83']
Exploring Operation: 92-83=9, Resulting Numbers: [9]
9,88 unequal: No Solution
Exploring Operation: 92+83=175, Resulting Numbers: [175]
175,88 unequal: No Solution
Exploring Operation: 92*83=7636, Resulting Numbers: [7636]
7636,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 88:[73, 82], Operations: ['70+22=92', '92-10=82']
Exploring Operation: 82-73=9, Resulting Numbers: [9]
9,88 unequal: No Solution
Exploring Operation: 73*82=5986, Resulting Numbers: [5986]
5986,88 unequal: No Solution
Exploring Operation: 73+82=155, Resulting Numbers: [155]
155,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 88:[92, 63], Operations: ['70+22=92', '73-10=63']
Exploring Operation: 92-63=29, Resulting Numbers: [29]
29,88 unequal: No Solution
Exploring Operation: 92+63=155, Resulting Numbers: [155]
155,88 unequal: No Solution
Exploring Operation: 92*63=5796, Resulting Numbers: [5796]
5796,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 88:[73, 102], Operations: ['70+22=92', '10+92=102']
Exploring Operation: 73+102=175, Resulting Numbers: [175]
175,88 unequal: No Solution
Exploring Operation: 73*102=7446, Resulting Numbers: [7446]
7446,88 unequal: No Solution
Exploring Operation: 102-73=29, Resulting Numbers: [29]
29,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4
Current State: 88:[10, 73, 48], Operations: ['70-22=48']
Exploring Operation: 73-48=25, Resulting Numbers: [10, 25]
Generated Node #0,4,0: 88:[10, 25] Operation: 73-48=25
Exploring Operation: 10+73=83, Resulting Numbers: [48, 83]
Generated Node #0,4,1: 88:[48, 83] Operation: 10+73=83
Exploring Operation: 73-10=63, Resulting Numbers: [48, 63]
Generated Node #0,4,2: 88:[48, 63] Operation: 73-10=63
Exploring Operation: 48-10=38, Resulting Numbers: [73, 38]
Generated Node #0,4,3: 88:[73, 38] Operation: 48-10=38
Exploring Operation: 10+48=58, Resulting Numbers: [73, 58]
Generated Node #0,4,4: 88:[73, 58] Operation: 10+48=58
Moving to Node #0,2
Current State: 88:[22, 73, 80], Operations: ['70+10=80']
Exploring Operation: 80-73=7, Resulting Numbers: [22, 7]
Generated Node #0,2,0: 88:[22, 7] Operation: 80-73=7
Exploring Operation: 73-22=51, Resulting Numbers: [80, 51]
Generated Node #0,2,1: 88:[80, 51] Operation: 73-22=51
Exploring Operation: 22+80=102, Resulting Numbers: [73, 102]
Generated Node #0,2,2: 88:[73, 102] Operation: 22+80=102
Exploring Operation: 22+73=95, Resulting Numbers: [80, 95]
Generated Node #0,2,3: 88:[80, 95] Operation: 22+73=95
Exploring Operation: 80-22=58, Resulting Numbers: [73, 58]
Generated Node #0,2,4: 88:[73, 58] Operation: 80-22=58
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 88:[22, 7], Operations: ['70+10=80', '80-73=7']
Exploring Operation: 22*7=154, Resulting Numbers: [154]
154,88 unequal: No Solution
Exploring Operation: 22+7=29, Resulting Numbers: [29]
29,88 unequal: No Solution
Exploring Operation: 22-7=15, Resulting Numbers: [15]
15,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 88:[80, 51], Operations: ['70+10=80', '73-22=51']
Exploring Operation: 80-51=29, Resulting Numbers: [29]
29,88 unequal: No Solution
Exploring Operation: 80*51=4080, Resulting Numbers: [4080]
4080,88 unequal: No Solution
Exploring Operation: 80+51=131, Resulting Numbers: [131]
131,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 88:[80, 95], Operations: ['70+10=80', '22+73=95']
Exploring Operation: 95-80=15, Resulting Numbers: [15]
15,88 unequal: No Solution
Exploring Operation: 80*95=7600, Resulting Numbers: [7600]
7600,88 unequal: No Solution
Exploring Operation: 80+95=175, Resulting Numbers: [175]
175,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 88:[73, 102], Operations: ['70+10=80', '22+80=102']
Exploring Operation: 102-73=29, Resulting Numbers: [29]
29,88 unequal: No Solution
Exploring Operation: 73+102=175, Resulting Numbers: [175]
175,88 unequal: No Solution
Exploring Operation: 73*102=7446, Resulting Numbers: [7446]
7446,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 88:[73, 58], Operations: ['70+10=80', '80-22=58']
Exploring Operation: 73+58=131, Resulting Numbers: [131]
131,88 unequal: No Solution
Exploring Operation: 73-58=15, Resulting Numbers: [15]
15,88 unequal: No Solution
Exploring Operation: 73*58=4234, Resulting Numbers: [4234]
4234,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4,0
Current State: 88:[10, 25], Operations: ['70-22=48', '73-48=25']
Exploring Operation: 25-10=15, Resulting Numbers: [15]
15,88 unequal: No Solution
Exploring Operation: 10*25=250, Resulting Numbers: [250]
250,88 unequal: No Solution
Exploring Operation: 10+25=35, Resulting Numbers: [35]
35,88 unequal: No Solution
Moving to Node #0,0,0
Current State: 88:[7, 95], Operations: ['70/10=7', '22+73=95']
Exploring Operation: 7+95=102, Resulting Numbers: [102]
102,88 unequal: No Solution
Exploring Operation: 95-7=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Moving to Node #0
Current State: 88:[70, 22, 10, 73], Operations: []
Exploring Operation: 70/10=7, Resulting Numbers: [22, 73, 7]
Generated Node #0,0: 88:[22, 73, 7] Operation: 70/10=7
Moving to Node #0,0
Current State: 88:[22, 73, 7], Operations: ['70/10=7']
Exploring Operation: 22+73=95, Resulting Numbers: [7, 95]
Generated Node #0,0,0: 88:[7, 95] Operation: 22+73=95
Moving to Node #0,0,0
Current State: 88:[7, 95], Operations: ['70/10=7', '22+73=95']
Exploring Operation: 95-7=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 0.926215 | hs_5 | mult_heuristic |
[
76,
6,
16,
19
] | 67 | [
"76-6=70",
"19-16=3",
"70-3=67"
] | Current State: 67:[76, 6, 16, 19], Operations: []
Exploring Operation: 76-6=70, Resulting Numbers: [16, 19, 70]
Generated Node #2: [16, 19, 70] from Operation: 76-6=70
Current State: 67:[16, 19, 70], Operations: ['76-6=70']
Exploring Operation: 19-16=3, Resulting Numbers: [70, 3]
Generated Node #3: [70, 3] from Operation: 19-16=3
Current State: 67:[70, 3], Operations: ['76-6=70', '19-16=3']
Exploring Operation: 70-3=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[76, 6, 16, 19], Operations: []
Exploring Operation: 6*16=96, Resulting Numbers: [76, 19, 96]
Generated Node #0,0: 67:[76, 19, 96] Operation: 6*16=96
Moving to Node #0,0
Current State: 67:[76, 19, 96], Operations: ['6*16=96']
Exploring Operation: 96-19=77, Resulting Numbers: [76, 77]
Generated Node #0,0,0: 67:[76, 77] Operation: 96-19=77
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 67:[76, 77], Operations: ['6*16=96', '96-19=77']
Exploring Operation: 77-76=1, Resulting Numbers: [1]
1,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
74,
88,
69,
25
] | 37 | [
"74-69=5",
"25*5=125",
"125-88=37"
] | Current State: 37:[74, 88, 69, 25], Operations: []
Exploring Operation: 74-69=5, Resulting Numbers: [88, 25, 5]
Generated Node #2: [88, 25, 5] from Operation: 74-69=5
Current State: 37:[88, 25, 5], Operations: ['74-69=5']
Exploring Operation: 25*5=125, Resulting Numbers: [88, 125]
Generated Node #3: [88, 125] from Operation: 25*5=125
Current State: 37:[88, 125], Operations: ['74-69=5', '25*5=125']
Exploring Operation: 125-88=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[74, 88, 69, 25], Operations: []
Exploring Operation: 74-69=5, Resulting Numbers: [88, 25, 5]
Generated Node #0,0: 37:[88, 25, 5] Operation: 74-69=5
Exploring Operation: 88-74=14, Resulting Numbers: [69, 25, 14]
Generated Node #0,1: 37:[69, 25, 14] Operation: 88-74=14
Exploring Operation: 88-69=19, Resulting Numbers: [74, 25, 19]
Generated Node #0,2: 37:[74, 25, 19] Operation: 88-69=19
Start Sub Search at level 1: Moving to Node #0,1
Current State: 37:[69, 25, 14], Operations: ['88-74=14']
Exploring Operation: 69-25=44, Resulting Numbers: [14, 44]
Generated Node #0,1,0: 37:[14, 44] Operation: 69-25=44
Exploring Operation: 25+14=39, Resulting Numbers: [69, 39]
Generated Node #0,1,1: 37:[69, 39] Operation: 25+14=39
Exploring Operation: 69-14=55, Resulting Numbers: [25, 55]
Generated Node #0,1,2: 37:[25, 55] Operation: 69-14=55
Moving to Node #0,1,0
Current State: 37:[14, 44], Operations: ['88-74=14', '69-25=44']
Exploring Operation: 44-14=30, Resulting Numbers: [30]
30,37 unequal: No Solution
Exploring Operation: 14*44=616, Resulting Numbers: [616]
616,37 unequal: No Solution
Exploring Operation: 14+44=58, Resulting Numbers: [58]
58,37 unequal: No Solution
Moving to Node #0,1,2
Current State: 37:[25, 55], Operations: ['88-74=14', '69-14=55']
Exploring Operation: 25+55=80, Resulting Numbers: [80]
80,37 unequal: No Solution
Exploring Operation: 55-25=30, Resulting Numbers: [30]
30,37 unequal: No Solution
Exploring Operation: 25*55=1375, Resulting Numbers: [1375]
1375,37 unequal: No Solution
Moving to Node #0,1,1
Current State: 37:[69, 39], Operations: ['88-74=14', '25+14=39']
Exploring Operation: 69*39=2691, Resulting Numbers: [2691]
2691,37 unequal: No Solution
Exploring Operation: 69-39=30, Resulting Numbers: [30]
30,37 unequal: No Solution
Exploring Operation: 69+39=108, Resulting Numbers: [108]
108,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 37:[74, 25, 19], Operations: ['88-69=19']
Exploring Operation: 25+19=44, Resulting Numbers: [74, 44]
Generated Node #0,2,0: 37:[74, 44] Operation: 25+19=44
Exploring Operation: 74-25=49, Resulting Numbers: [19, 49]
Generated Node #0,2,1: 37:[19, 49] Operation: 74-25=49
Exploring Operation: 74-19=55, Resulting Numbers: [25, 55]
Generated Node #0,2,2: 37:[25, 55] Operation: 74-19=55
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 37:[19, 49], Operations: ['88-69=19', '74-25=49']
Exploring Operation: 19+49=68, Resulting Numbers: [68]
68,37 unequal: No Solution
Exploring Operation: 19*49=931, Resulting Numbers: [931]
931,37 unequal: No Solution
Exploring Operation: 49-19=30, Resulting Numbers: [30]
30,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 37:[25, 55], Operations: ['88-69=19', '74-19=55']
Exploring Operation: 25+55=80, Resulting Numbers: [80]
80,37 unequal: No Solution
Exploring Operation: 55-25=30, Resulting Numbers: [30]
30,37 unequal: No Solution
Exploring Operation: 25*55=1375, Resulting Numbers: [1375]
1375,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 37:[74, 44], Operations: ['88-69=19', '25+19=44']
Exploring Operation: 74*44=3256, Resulting Numbers: [3256]
3256,37 unequal: No Solution
Exploring Operation: 74-44=30, Resulting Numbers: [30]
30,37 unequal: No Solution
Exploring Operation: 74+44=118, Resulting Numbers: [118]
118,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 37:[88, 25, 5], Operations: ['74-69=5']
Exploring Operation: 88-25=63, Resulting Numbers: [5, 63]
Generated Node #0,0,0: 37:[5, 63] Operation: 88-25=63
Exploring Operation: 88-5=83, Resulting Numbers: [25, 83]
Generated Node #0,0,1: 37:[25, 83] Operation: 88-5=83
Exploring Operation: 25+5=30, Resulting Numbers: [88, 30]
Generated Node #0,0,2: 37:[88, 30] Operation: 25+5=30
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 37:[5, 63], Operations: ['74-69=5', '88-25=63']
Exploring Operation: 63-5=58, Resulting Numbers: [58]
58,37 unequal: No Solution
Exploring Operation: 5+63=68, Resulting Numbers: [68]
68,37 unequal: No Solution
Exploring Operation: 5*63=315, Resulting Numbers: [315]
315,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 37:[25, 83], Operations: ['74-69=5', '88-5=83']
Exploring Operation: 25*83=2075, Resulting Numbers: [2075]
2075,37 unequal: No Solution
Exploring Operation: 25+83=108, Resulting Numbers: [108]
108,37 unequal: No Solution
Exploring Operation: 83-25=58, Resulting Numbers: [58]
58,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 37:[88, 30], Operations: ['74-69=5', '25+5=30']
Exploring Operation: 88+30=118, Resulting Numbers: [118]
118,37 unequal: No Solution
Exploring Operation: 88*30=2640, Resulting Numbers: [2640]
2640,37 unequal: No Solution
Exploring Operation: 88-30=58, Resulting Numbers: [58]
58,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
4,
15,
49,
88
] | 96 | [
"15+49=64",
"88-64=24",
"4*24=96"
] | Current State: 96:[4, 15, 49, 88], Operations: []
Exploring Operation: 15+49=64, Resulting Numbers: [4, 88, 64]
Generated Node #2: [4, 88, 64] from Operation: 15+49=64
Current State: 96:[4, 88, 64], Operations: ['15+49=64']
Exploring Operation: 88-64=24, Resulting Numbers: [4, 24]
Generated Node #3: [4, 24] from Operation: 88-64=24
Current State: 96:[4, 24], Operations: ['15+49=64', '88-64=24']
Exploring Operation: 4*24=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[4, 15, 49, 88], Operations: []
Exploring Operation: 4+88=92, Resulting Numbers: [15, 49, 92]
Generated Node #0,0: 96:[15, 49, 92] Operation: 4+88=92
Exploring Operation: 88/4=22, Resulting Numbers: [15, 49, 22]
Generated Node #0,1: 96:[15, 49, 22] Operation: 88/4=22
Start Sub Search at level 1: Moving to Node #0,1
Current State: 96:[15, 49, 22], Operations: ['88/4=22']
Exploring Operation: 49-15=34, Resulting Numbers: [22, 34]
Generated Node #0,1,0: 96:[22, 34] Operation: 49-15=34
Exploring Operation: 22-15=7, Resulting Numbers: [49, 7]
Generated Node #0,1,1: 96:[49, 7] Operation: 22-15=7
Moving to Node #0,1,1
Current State: 96:[49, 7], Operations: ['88/4=22', '22-15=7']
Exploring Operation: 49-7=42, Resulting Numbers: [42]
42,96 unequal: No Solution
Exploring Operation: 49/7=7, Resulting Numbers: [7]
7,96 unequal: No Solution
Moving to Node #0,1,0
Current State: 96:[22, 34], Operations: ['88/4=22', '49-15=34']
Exploring Operation: 34-22=12, Resulting Numbers: [12]
12,96 unequal: No Solution
Exploring Operation: 22+34=56, Resulting Numbers: [56]
56,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 96:[15, 49, 92], Operations: ['4+88=92']
Exploring Operation: 92-49=43, Resulting Numbers: [15, 43]
Generated Node #0,0,0: 96:[15, 43] Operation: 92-49=43
Exploring Operation: 49-15=34, Resulting Numbers: [92, 34]
Generated Node #0,0,1: 96:[92, 34] Operation: 49-15=34
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 96:[15, 43], Operations: ['4+88=92', '92-49=43']
Exploring Operation: 15+43=58, Resulting Numbers: [58]
58,96 unequal: No Solution
Exploring Operation: 43-15=28, Resulting Numbers: [28]
28,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 96:[92, 34], Operations: ['4+88=92', '49-15=34']
Exploring Operation: 92-34=58, Resulting Numbers: [58]
58,96 unequal: No Solution
Exploring Operation: 92+34=126, Resulting Numbers: [126]
126,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
33,
72,
91,
37
] | 23 | [
"33+72=105",
"91+37=128",
"128-105=23"
] | Current State: 23:[33, 72, 91, 37], Operations: []
Exploring Operation: 33+72=105, Resulting Numbers: [91, 37, 105]
Generated Node #2: [91, 37, 105] from Operation: 33+72=105
Current State: 23:[91, 37, 105], Operations: ['33+72=105']
Exploring Operation: 91+37=128, Resulting Numbers: [105, 128]
Generated Node #3: [105, 128] from Operation: 91+37=128
Current State: 23:[105, 128], Operations: ['33+72=105', '91+37=128']
Exploring Operation: 128-105=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[33, 72, 91, 37], Operations: []
Exploring Operation: 91-72=19, Resulting Numbers: [33, 37, 19]
Generated Node #0,0: 23:[33, 37, 19] Operation: 91-72=19
Moving to Node #0,0
Current State: 23:[33, 37, 19], Operations: ['91-72=19']
Exploring Operation: 37-19=18, Resulting Numbers: [33, 18]
Generated Node #0,0,0: 23:[33, 18] Operation: 37-19=18
Moving to Node #0,0,0
Current State: 23:[33, 18], Operations: ['91-72=19', '37-19=18']
Exploring Operation: 33-18=15, Resulting Numbers: [15]
15,23 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
6,
55,
53,
99
] | 91 | [
"6+55=61",
"53+99=152",
"152-61=91"
] | Current State: 91:[6, 55, 53, 99], Operations: []
Exploring Operation: 6+55=61, Resulting Numbers: [53, 99, 61]
Generated Node #2: [53, 99, 61] from Operation: 6+55=61
Current State: 91:[53, 99, 61], Operations: ['6+55=61']
Exploring Operation: 53+99=152, Resulting Numbers: [61, 152]
Generated Node #3: [61, 152] from Operation: 53+99=152
Current State: 91:[61, 152], Operations: ['6+55=61', '53+99=152']
Exploring Operation: 152-61=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[6, 55, 53, 99], Operations: []
Exploring Operation: 99-53=46, Resulting Numbers: [6, 55, 46]
Generated Node #0,0: 91:[6, 55, 46] Operation: 99-53=46
Exploring Operation: 55+53=108, Resulting Numbers: [6, 99, 108]
Generated Node #0,1: 91:[6, 99, 108] Operation: 55+53=108
Exploring Operation: 99-55=44, Resulting Numbers: [6, 53, 44]
Generated Node #0,2: 91:[6, 53, 44] Operation: 99-55=44
Exploring Operation: 55-53=2, Resulting Numbers: [6, 99, 2]
Generated Node #0,3: 91:[6, 99, 2] Operation: 55-53=2
Moving to Node #0,3
Current State: 91:[6, 99, 2], Operations: ['55-53=2']
Exploring Operation: 6+2=8, Resulting Numbers: [99, 8]
Generated Node #0,3,0: 91:[99, 8] Operation: 6+2=8
Exploring Operation: 99-2=97, Resulting Numbers: [6, 97]
Generated Node #0,3,1: 91:[6, 97] Operation: 99-2=97
Exploring Operation: 6*2=12, Resulting Numbers: [99, 12]
Generated Node #0,3,2: 91:[99, 12] Operation: 6*2=12
Exploring Operation: 99-6=93, Resulting Numbers: [2, 93]
Generated Node #0,3,3: 91:[2, 93] Operation: 99-6=93
Moving to Node #0,1
Current State: 91:[6, 99, 108], Operations: ['55+53=108']
Exploring Operation: 108-99=9, Resulting Numbers: [6, 9]
Generated Node #0,1,0: 91:[6, 9] Operation: 108-99=9
Exploring Operation: 108/6=18, Resulting Numbers: [99, 18]
Generated Node #0,1,1: 91:[99, 18] Operation: 108/6=18
Exploring Operation: 108-6=102, Resulting Numbers: [99, 102]
Generated Node #0,1,2: 91:[99, 102] Operation: 108-6=102
Exploring Operation: 99-6=93, Resulting Numbers: [108, 93]
Generated Node #0,1,3: 91:[108, 93] Operation: 99-6=93
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 91:[6, 9], Operations: ['55+53=108', '108-99=9']
Exploring Operation: 6+9=15, Resulting Numbers: [15]
15,91 unequal: No Solution
Exploring Operation: 9-6=3, Resulting Numbers: [3]
3,91 unequal: No Solution
Exploring Operation: 6*9=54, Resulting Numbers: [54]
54,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 91:[99, 18], Operations: ['55+53=108', '108/6=18']
Exploring Operation: 99-18=81, Resulting Numbers: [81]
81,91 unequal: No Solution
Exploring Operation: 99+18=117, Resulting Numbers: [117]
117,91 unequal: No Solution
Exploring Operation: 99*18=1782, Resulting Numbers: [1782]
1782,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 91:[99, 102], Operations: ['55+53=108', '108-6=102']
Exploring Operation: 99+102=201, Resulting Numbers: [201]
201,91 unequal: No Solution
Exploring Operation: 102-99=3, Resulting Numbers: [3]
3,91 unequal: No Solution
Exploring Operation: 99*102=10098, Resulting Numbers: [10098]
10098,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 91:[108, 93], Operations: ['55+53=108', '99-6=93']
Exploring Operation: 108-93=15, Resulting Numbers: [15]
15,91 unequal: No Solution
Exploring Operation: 108*93=10044, Resulting Numbers: [10044]
10044,91 unequal: No Solution
Exploring Operation: 108+93=201, Resulting Numbers: [201]
201,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 91:[6, 53, 44], Operations: ['99-55=44']
Exploring Operation: 53+44=97, Resulting Numbers: [6, 97]
Generated Node #0,2,0: 91:[6, 97] Operation: 53+44=97
Exploring Operation: 6+53=59, Resulting Numbers: [44, 59]
Generated Node #0,2,1: 91:[44, 59] Operation: 6+53=59
Exploring Operation: 53-44=9, Resulting Numbers: [6, 9]
Generated Node #0,2,2: 91:[6, 9] Operation: 53-44=9
Exploring Operation: 44-6=38, Resulting Numbers: [53, 38]
Generated Node #0,2,3: 91:[53, 38] Operation: 44-6=38
Moving to Node #0,0
Current State: 91:[6, 55, 46], Operations: ['99-53=46']
Exploring Operation: 55-46=9, Resulting Numbers: [6, 9]
Generated Node #0,0,0: 91:[6, 9] Operation: 55-46=9
Exploring Operation: 46-6=40, Resulting Numbers: [55, 40]
Generated Node #0,0,1: 91:[55, 40] Operation: 46-6=40
Exploring Operation: 55+46=101, Resulting Numbers: [6, 101]
Generated Node #0,0,2: 91:[6, 101] Operation: 55+46=101
Exploring Operation: 6+55=61, Resulting Numbers: [46, 61]
Generated Node #0,0,3: 91:[46, 61] Operation: 6+55=61
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 91:[6, 9], Operations: ['99-53=46', '55-46=9']
Exploring Operation: 9-6=3, Resulting Numbers: [3]
3,91 unequal: No Solution
Exploring Operation: 6*9=54, Resulting Numbers: [54]
54,91 unequal: No Solution
Exploring Operation: 6+9=15, Resulting Numbers: [15]
15,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 91:[6, 101], Operations: ['99-53=46', '55+46=101']
Exploring Operation: 6*101=606, Resulting Numbers: [606]
606,91 unequal: No Solution
Exploring Operation: 101-6=95, Resulting Numbers: [95]
95,91 unequal: No Solution
Exploring Operation: 6+101=107, Resulting Numbers: [107]
107,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 91:[55, 40], Operations: ['99-53=46', '46-6=40']
Exploring Operation: 55-40=15, Resulting Numbers: [15]
15,91 unequal: No Solution
Exploring Operation: 55+40=95, Resulting Numbers: [95]
95,91 unequal: No Solution
Exploring Operation: 55*40=2200, Resulting Numbers: [2200]
2200,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 91:[46, 61], Operations: ['99-53=46', '6+55=61']
Exploring Operation: 61-46=15, Resulting Numbers: [15]
15,91 unequal: No Solution
Exploring Operation: 46+61=107, Resulting Numbers: [107]
107,91 unequal: No Solution
Exploring Operation: 46*61=2806, Resulting Numbers: [2806]
2806,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,2
Current State: 91:[6, 9], Operations: ['99-55=44', '53-44=9']
Exploring Operation: 6*9=54, Resulting Numbers: [54]
54,91 unequal: No Solution
Exploring Operation: 6+9=15, Resulting Numbers: [15]
15,91 unequal: No Solution
Exploring Operation: 9-6=3, Resulting Numbers: [3]
3,91 unequal: No Solution
Moving to Node #0,2,0
Current State: 91:[6, 97], Operations: ['99-55=44', '53+44=97']
Exploring Operation: 6+97=103, Resulting Numbers: [103]
103,91 unequal: No Solution
Exploring Operation: 6*97=582, Resulting Numbers: [582]
582,91 unequal: No Solution
Exploring Operation: 97-6=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Moving to Node #0
Current State: 91:[6, 55, 53, 99], Operations: []
Exploring Operation: 99-55=44, Resulting Numbers: [6, 53, 44]
Generated Node #0,2: 91:[6, 53, 44] Operation: 99-55=44
Moving to Node #0,2
Current State: 91:[6, 53, 44], Operations: ['99-55=44']
Exploring Operation: 53+44=97, Resulting Numbers: [6, 97]
Generated Node #0,2,0: 91:[6, 97] Operation: 53+44=97
Moving to Node #0,2,0
Current State: 91:[6, 97], Operations: ['99-55=44', '53+44=97']
Exploring Operation: 97-6=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 0.953125 | hs_4 | sum_heuristic |
[
16,
28,
1,
47
] | 58 | [
"28-16=12",
"47-1=46",
"12+46=58"
] | Current State: 58:[16, 28, 1, 47], Operations: []
Exploring Operation: 28-16=12, Resulting Numbers: [1, 47, 12]
Generated Node #2: [1, 47, 12] from Operation: 28-16=12
Current State: 58:[1, 47, 12], Operations: ['28-16=12']
Exploring Operation: 47-1=46, Resulting Numbers: [12, 46]
Generated Node #3: [12, 46] from Operation: 47-1=46
Current State: 58:[12, 46], Operations: ['28-16=12', '47-1=46']
Exploring Operation: 12+46=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[16, 28, 1, 47], Operations: []
Exploring Operation: 47-16=31, Resulting Numbers: [28, 1, 31]
Generated Node #0,0: 58:[28, 1, 31] Operation: 47-16=31
Moving to Node #0,0
Current State: 58:[28, 1, 31], Operations: ['47-16=31']
Exploring Operation: 28+1=29, Resulting Numbers: [31, 29]
Generated Node #0,0,0: 58:[31, 29] Operation: 28+1=29
Moving to Node #0,0,0
Current State: 58:[31, 29], Operations: ['47-16=31', '28+1=29']
Exploring Operation: 31-29=2, Resulting Numbers: [2]
2,58 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
11,
37,
41,
40
] | 21 | [
"41-37=4",
"40/4=10",
"11+10=21"
] | Current State: 21:[11, 37, 41, 40], Operations: []
Exploring Operation: 41-37=4, Resulting Numbers: [11, 40, 4]
Generated Node #2: [11, 40, 4] from Operation: 41-37=4
Current State: 21:[11, 40, 4], Operations: ['41-37=4']
Exploring Operation: 40/4=10, Resulting Numbers: [11, 10]
Generated Node #3: [11, 10] from Operation: 40/4=10
Current State: 21:[11, 10], Operations: ['41-37=4', '40/4=10']
Exploring Operation: 11+10=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[11, 37, 41, 40], Operations: []
Exploring Operation: 41-40=1, Resulting Numbers: [11, 37, 1]
Generated Node #0,0: 21:[11, 37, 1] Operation: 41-40=1
Exploring Operation: 40-37=3, Resulting Numbers: [11, 41, 3]
Generated Node #0,1: 21:[11, 41, 3] Operation: 40-37=3
Exploring Operation: 41-37=4, Resulting Numbers: [11, 40, 4]
Generated Node #0,2: 21:[11, 40, 4] Operation: 41-37=4
Moving to Node #0,0
Current State: 21:[11, 37, 1], Operations: ['41-40=1']
Exploring Operation: 37-1=36, Resulting Numbers: [11, 36]
Generated Node #0,0,0: 21:[11, 36] Operation: 37-1=36
Exploring Operation: 11-1=10, Resulting Numbers: [37, 10]
Generated Node #0,0,1: 21:[37, 10] Operation: 11-1=10
Exploring Operation: 37-11=26, Resulting Numbers: [1, 26]
Generated Node #0,0,2: 21:[1, 26] Operation: 37-11=26
Moving to Node #0,1
Current State: 21:[11, 41, 3], Operations: ['40-37=3']
Exploring Operation: 41-3=38, Resulting Numbers: [11, 38]
Generated Node #0,1,0: 21:[11, 38] Operation: 41-3=38
Exploring Operation: 11-3=8, Resulting Numbers: [41, 8]
Generated Node #0,1,1: 21:[41, 8] Operation: 11-3=8
Exploring Operation: 41-11=30, Resulting Numbers: [3, 30]
Generated Node #0,1,2: 21:[3, 30] Operation: 41-11=30
Moving to Node #0,2
Current State: 21:[11, 40, 4], Operations: ['41-37=4']
Exploring Operation: 40-11=29, Resulting Numbers: [4, 29]
Generated Node #0,2,0: 21:[4, 29] Operation: 40-11=29
Exploring Operation: 11-4=7, Resulting Numbers: [40, 7]
Generated Node #0,2,1: 21:[40, 7] Operation: 11-4=7
Exploring Operation: 40/4=10, Resulting Numbers: [11, 10]
Generated Node #0,2,2: 21:[11, 10] Operation: 40/4=10
Moving to Node #0,0,2
Current State: 21:[1, 26], Operations: ['41-40=1', '37-11=26']
Exploring Operation: 26-1=25, Resulting Numbers: [25]
25,21 unequal: No Solution
Exploring Operation: 26/1=26, Resulting Numbers: [26]
26,21 unequal: No Solution
Exploring Operation: 1*26=26, Resulting Numbers: [26]
26,21 unequal: No Solution
Moving to Node #0,2,2
Current State: 21:[11, 10], Operations: ['41-37=4', '40/4=10']
Exploring Operation: 11+10=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Moving to Node #0
Current State: 21:[11, 37, 41, 40], Operations: []
Exploring Operation: 41-37=4, Resulting Numbers: [11, 40, 4]
Generated Node #0,2: 21:[11, 40, 4] Operation: 41-37=4
Moving to Node #0,2
Current State: 21:[11, 40, 4], Operations: ['41-37=4']
Exploring Operation: 40/4=10, Resulting Numbers: [11, 10]
Generated Node #0,2,2: 21:[11, 10] Operation: 40/4=10
Moving to Node #0,2,2
Current State: 21:[11, 10], Operations: ['41-37=4', '40/4=10']
Exploring Operation: 11+10=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 0.982639 | hs_3 | mult_heuristic |
[
22,
55,
10,
43
] | 98 | [
"55-43=12",
"10*12=120",
"120-22=98"
] | Current State: 98:[22, 55, 10, 43], Operations: []
Exploring Operation: 55-43=12, Resulting Numbers: [22, 10, 12]
Generated Node #2: [22, 10, 12] from Operation: 55-43=12
Current State: 98:[22, 10, 12], Operations: ['55-43=12']
Exploring Operation: 10*12=120, Resulting Numbers: [22, 120]
Generated Node #3: [22, 120] from Operation: 10*12=120
Current State: 98:[22, 120], Operations: ['55-43=12', '10*12=120']
Exploring Operation: 120-22=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[22, 55, 10, 43], Operations: []
Exploring Operation: 22-10=12, Resulting Numbers: [55, 43, 12]
Generated Node #0,0: 98:[55, 43, 12] Operation: 22-10=12
Exploring Operation: 55-43=12, Resulting Numbers: [22, 10, 12]
Generated Node #0,1: 98:[22, 10, 12] Operation: 55-43=12
Exploring Operation: 55+43=98, Resulting Numbers: [22, 10, 98]
Generated Node #0,2: 98:[22, 10, 98] Operation: 55+43=98
Exploring Operation: 43-22=21, Resulting Numbers: [55, 10, 21]
Generated Node #0,3: 98:[55, 10, 21] Operation: 43-22=21
Exploring Operation: 55-10=45, Resulting Numbers: [22, 43, 45]
Generated Node #0,4: 98:[22, 43, 45] Operation: 55-10=45
Start Sub Search at level 1: Moving to Node #0,2
Current State: 98:[22, 10, 98], Operations: ['55+43=98']
Exploring Operation: 22-10=12, Resulting Numbers: [98, 12]
Generated Node #0,2,0: 98:[98, 12] Operation: 22-10=12
Exploring Operation: 10+98=108, Resulting Numbers: [22, 108]
Generated Node #0,2,1: 98:[22, 108] Operation: 10+98=108
Exploring Operation: 22+98=120, Resulting Numbers: [10, 120]
Generated Node #0,2,2: 98:[10, 120] Operation: 22+98=120
Exploring Operation: 98-10=88, Resulting Numbers: [22, 88]
Generated Node #0,2,3: 98:[22, 88] Operation: 98-10=88
Exploring Operation: 22+10=32, Resulting Numbers: [98, 32]
Generated Node #0,2,4: 98:[98, 32] Operation: 22+10=32
Moving to Node #0,2,0
Current State: 98:[98, 12], Operations: ['55+43=98', '22-10=12']
Exploring Operation: 98*12=1176, Resulting Numbers: [1176]
1176,98 unequal: No Solution
Exploring Operation: 98+12=110, Resulting Numbers: [110]
110,98 unequal: No Solution
Exploring Operation: 98-12=86, Resulting Numbers: [86]
86,98 unequal: No Solution
Moving to Node #0,2,4
Current State: 98:[98, 32], Operations: ['55+43=98', '22+10=32']
Exploring Operation: 98*32=3136, Resulting Numbers: [3136]
3136,98 unequal: No Solution
Exploring Operation: 98+32=130, Resulting Numbers: [130]
130,98 unequal: No Solution
Exploring Operation: 98-32=66, Resulting Numbers: [66]
66,98 unequal: No Solution
Moving to Node #0,2,1
Current State: 98:[22, 108], Operations: ['55+43=98', '10+98=108']
Exploring Operation: 108-22=86, Resulting Numbers: [86]
86,98 unequal: No Solution
Exploring Operation: 22*108=2376, Resulting Numbers: [2376]
2376,98 unequal: No Solution
Exploring Operation: 22+108=130, Resulting Numbers: [130]
130,98 unequal: No Solution
Moving to Node #0,2,3
Current State: 98:[22, 88], Operations: ['55+43=98', '98-10=88']
Exploring Operation: 22*88=1936, Resulting Numbers: [1936]
1936,98 unequal: No Solution
Exploring Operation: 88/22=4, Resulting Numbers: [4]
4,98 unequal: No Solution
Exploring Operation: 88-22=66, Resulting Numbers: [66]
66,98 unequal: No Solution
Exploring Operation: 22+88=110, Resulting Numbers: [110]
110,98 unequal: No Solution
Moving to Node #0,2,2
Current State: 98:[10, 120], Operations: ['55+43=98', '22+98=120']
Exploring Operation: 10*120=1200, Resulting Numbers: [1200]
1200,98 unequal: No Solution
Exploring Operation: 120/10=12, Resulting Numbers: [12]
12,98 unequal: No Solution
Exploring Operation: 120-10=110, Resulting Numbers: [110]
110,98 unequal: No Solution
Exploring Operation: 10+120=130, Resulting Numbers: [130]
130,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 98:[22, 10, 12], Operations: ['55-43=12']
Exploring Operation: 22+12=34, Resulting Numbers: [10, 34]
Generated Node #0,1,0: 98:[10, 34] Operation: 22+12=34
Exploring Operation: 10+12=22, Resulting Numbers: [22, 22]
Generated Node #0,1,1: 98:[22, 22] Operation: 10+12=22
Exploring Operation: 22-12=10, Resulting Numbers: [10, 10]
Generated Node #0,1,2: 98:[10, 10] Operation: 22-12=10
Exploring Operation: 22-10=12, Resulting Numbers: [12, 12]
Generated Node #0,1,3: 98:[12, 12] Operation: 22-10=12
Exploring Operation: 12-10=2, Resulting Numbers: [22, 2]
Generated Node #0,1,4: 98:[22, 2] Operation: 12-10=2
Moving to Node #0,1,3
Current State: 98:[12, 12], Operations: ['55-43=12', '22-10=12']
Exploring Operation: 12/12=1, Resulting Numbers: [1]
1,98 unequal: No Solution
Exploring Operation: 12*12=144, Resulting Numbers: [144]
144,98 unequal: No Solution
Exploring Operation: 12+12=24, Resulting Numbers: [24]
24,98 unequal: No Solution
Exploring Operation: 12-12=0, Resulting Numbers: [0]
0,98 unequal: No Solution
Moving to Node #0,1,2
Current State: 98:[10, 10], Operations: ['55-43=12', '22-12=10']
Exploring Operation: 10+10=20, Resulting Numbers: [20]
20,98 unequal: No Solution
Exploring Operation: 10/10=1, Resulting Numbers: [1]
1,98 unequal: No Solution
Exploring Operation: 10-10=0, Resulting Numbers: [0]
0,98 unequal: No Solution
Exploring Operation: 10*10=100, Resulting Numbers: [100]
100,98 unequal: No Solution
Moving to Node #0,1,4
Current State: 98:[22, 2], Operations: ['55-43=12', '12-10=2']
Exploring Operation: 22/2=11, Resulting Numbers: [11]
11,98 unequal: No Solution
Exploring Operation: 22+2=24, Resulting Numbers: [24]
24,98 unequal: No Solution
Exploring Operation: 22-2=20, Resulting Numbers: [20]
20,98 unequal: No Solution
Exploring Operation: 22*2=44, Resulting Numbers: [44]
44,98 unequal: No Solution
Moving to Node #0,1,1
Current State: 98:[22, 22], Operations: ['55-43=12', '10+12=22']
Exploring Operation: 22/22=1, Resulting Numbers: [1]
1,98 unequal: No Solution
Exploring Operation: 22-22=0, Resulting Numbers: [0]
0,98 unequal: No Solution
Exploring Operation: 22+22=44, Resulting Numbers: [44]
44,98 unequal: No Solution
Exploring Operation: 22*22=484, Resulting Numbers: [484]
484,98 unequal: No Solution
Moving to Node #0,1,0
Current State: 98:[10, 34], Operations: ['55-43=12', '22+12=34']
Exploring Operation: 34-10=24, Resulting Numbers: [24]
24,98 unequal: No Solution
Exploring Operation: 10+34=44, Resulting Numbers: [44]
44,98 unequal: No Solution
Exploring Operation: 10*34=340, Resulting Numbers: [340]
340,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 98:[55, 43, 12], Operations: ['22-10=12']
Exploring Operation: 43+12=55, Resulting Numbers: [55, 55]
Generated Node #0,0,0: 98:[55, 55] Operation: 43+12=55
Exploring Operation: 55+43=98, Resulting Numbers: [12, 98]
Generated Node #0,0,1: 98:[12, 98] Operation: 55+43=98
Exploring Operation: 43-12=31, Resulting Numbers: [55, 31]
Generated Node #0,0,2: 98:[55, 31] Operation: 43-12=31
Exploring Operation: 55-12=43, Resulting Numbers: [43, 43]
Generated Node #0,0,3: 98:[43, 43] Operation: 55-12=43
Exploring Operation: 55-43=12, Resulting Numbers: [12, 12]
Generated Node #0,0,4: 98:[12, 12] Operation: 55-43=12
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 98:[12, 98], Operations: ['22-10=12', '55+43=98']
Exploring Operation: 98-12=86, Resulting Numbers: [86]
86,98 unequal: No Solution
Exploring Operation: 12+98=110, Resulting Numbers: [110]
110,98 unequal: No Solution
Exploring Operation: 12*98=1176, Resulting Numbers: [1176]
1176,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 98:[12, 12], Operations: ['22-10=12', '55-43=12']
Exploring Operation: 12+12=24, Resulting Numbers: [24]
24,98 unequal: No Solution
Exploring Operation: 12*12=144, Resulting Numbers: [144]
144,98 unequal: No Solution
Exploring Operation: 12-12=0, Resulting Numbers: [0]
0,98 unequal: No Solution
Exploring Operation: 12/12=1, Resulting Numbers: [1]
1,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 98:[55, 55], Operations: ['22-10=12', '43+12=55']
Exploring Operation: 55+55=110, Resulting Numbers: [110]
110,98 unequal: No Solution
Exploring Operation: 55/55=1, Resulting Numbers: [1]
1,98 unequal: No Solution
Exploring Operation: 55-55=0, Resulting Numbers: [0]
0,98 unequal: No Solution
Exploring Operation: 55*55=3025, Resulting Numbers: [3025]
3025,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 98:[43, 43], Operations: ['22-10=12', '55-12=43']
Exploring Operation: 43+43=86, Resulting Numbers: [86]
86,98 unequal: No Solution
Exploring Operation: 43/43=1, Resulting Numbers: [1]
1,98 unequal: No Solution
Exploring Operation: 43*43=1849, Resulting Numbers: [1849]
1849,98 unequal: No Solution
Exploring Operation: 43-43=0, Resulting Numbers: [0]
0,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 98:[55, 31], Operations: ['22-10=12', '43-12=31']
Exploring Operation: 55+31=86, Resulting Numbers: [86]
86,98 unequal: No Solution
Exploring Operation: 55-31=24, Resulting Numbers: [24]
24,98 unequal: No Solution
Exploring Operation: 55*31=1705, Resulting Numbers: [1705]
1705,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 98:[55, 10, 21], Operations: ['43-22=21']
Exploring Operation: 55-10=45, Resulting Numbers: [21, 45]
Generated Node #0,3,0: 98:[21, 45] Operation: 55-10=45
Exploring Operation: 55+10=65, Resulting Numbers: [21, 65]
Generated Node #0,3,1: 98:[21, 65] Operation: 55+10=65
Exploring Operation: 21-10=11, Resulting Numbers: [55, 11]
Generated Node #0,3,2: 98:[55, 11] Operation: 21-10=11
Exploring Operation: 55-21=34, Resulting Numbers: [10, 34]
Generated Node #0,3,3: 98:[10, 34] Operation: 55-21=34
Exploring Operation: 10+21=31, Resulting Numbers: [55, 31]
Generated Node #0,3,4: 98:[55, 31] Operation: 10+21=31
Moving to Node #0,3,2
Current State: 98:[55, 11], Operations: ['43-22=21', '21-10=11']
Exploring Operation: 55-11=44, Resulting Numbers: [44]
44,98 unequal: No Solution
Exploring Operation: 55/11=5, Resulting Numbers: [5]
5,98 unequal: No Solution
Exploring Operation: 55*11=605, Resulting Numbers: [605]
605,98 unequal: No Solution
Exploring Operation: 55+11=66, Resulting Numbers: [66]
66,98 unequal: No Solution
Moving to Node #0,3,0
Current State: 98:[21, 45], Operations: ['43-22=21', '55-10=45']
Exploring Operation: 21*45=945, Resulting Numbers: [945]
945,98 unequal: No Solution
Exploring Operation: 21+45=66, Resulting Numbers: [66]
66,98 unequal: No Solution
Exploring Operation: 45-21=24, Resulting Numbers: [24]
24,98 unequal: No Solution
Moving to Node #0,3,3
Current State: 98:[10, 34], Operations: ['43-22=21', '55-21=34']
Exploring Operation: 10+34=44, Resulting Numbers: [44]
44,98 unequal: No Solution
Exploring Operation: 10*34=340, Resulting Numbers: [340]
340,98 unequal: No Solution
Exploring Operation: 34-10=24, Resulting Numbers: [24]
24,98 unequal: No Solution
Moving to Node #0,3,1
Current State: 98:[21, 65], Operations: ['43-22=21', '55+10=65']
Exploring Operation: 21+65=86, Resulting Numbers: [86]
86,98 unequal: No Solution
Exploring Operation: 65-21=44, Resulting Numbers: [44]
44,98 unequal: No Solution
Exploring Operation: 21*65=1365, Resulting Numbers: [1365]
1365,98 unequal: No Solution
Moving to Node #0,3,4
Current State: 98:[55, 31], Operations: ['43-22=21', '10+21=31']
Exploring Operation: 55-31=24, Resulting Numbers: [24]
24,98 unequal: No Solution
Exploring Operation: 55*31=1705, Resulting Numbers: [1705]
1705,98 unequal: No Solution
Exploring Operation: 55+31=86, Resulting Numbers: [86]
86,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 98:[22, 43, 45], Operations: ['55-10=45']
Exploring Operation: 45-22=23, Resulting Numbers: [43, 23]
Generated Node #0,4,0: 98:[43, 23] Operation: 45-22=23
Exploring Operation: 22+43=65, Resulting Numbers: [45, 65]
Generated Node #0,4,1: 98:[45, 65] Operation: 22+43=65
Exploring Operation: 45-43=2, Resulting Numbers: [22, 2]
Generated Node #0,4,2: 98:[22, 2] Operation: 45-43=2
Exploring Operation: 43-22=21, Resulting Numbers: [45, 21]
Generated Node #0,4,3: 98:[45, 21] Operation: 43-22=21
Exploring Operation: 43+45=88, Resulting Numbers: [22, 88]
Generated Node #0,4,4: 98:[22, 88] Operation: 43+45=88
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 98:[22, 2], Operations: ['55-10=45', '45-43=2']
Exploring Operation: 22/2=11, Resulting Numbers: [11]
11,98 unequal: No Solution
Exploring Operation: 22*2=44, Resulting Numbers: [44]
44,98 unequal: No Solution
Exploring Operation: 22-2=20, Resulting Numbers: [20]
20,98 unequal: No Solution
Exploring Operation: 22+2=24, Resulting Numbers: [24]
24,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 98:[45, 21], Operations: ['55-10=45', '43-22=21']
Exploring Operation: 45+21=66, Resulting Numbers: [66]
66,98 unequal: No Solution
Exploring Operation: 45*21=945, Resulting Numbers: [945]
945,98 unequal: No Solution
Exploring Operation: 45-21=24, Resulting Numbers: [24]
24,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 98:[43, 23], Operations: ['55-10=45', '45-22=23']
Exploring Operation: 43+23=66, Resulting Numbers: [66]
66,98 unequal: No Solution
Exploring Operation: 43*23=989, Resulting Numbers: [989]
989,98 unequal: No Solution
Exploring Operation: 43-23=20, Resulting Numbers: [20]
20,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 98:[22, 88], Operations: ['55-10=45', '43+45=88']
Exploring Operation: 88-22=66, Resulting Numbers: [66]
66,98 unequal: No Solution
Exploring Operation: 88/22=4, Resulting Numbers: [4]
4,98 unequal: No Solution
Exploring Operation: 22*88=1936, Resulting Numbers: [1936]
1936,98 unequal: No Solution
Exploring Operation: 22+88=110, Resulting Numbers: [110]
110,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 98:[45, 65], Operations: ['55-10=45', '22+43=65']
Exploring Operation: 65-45=20, Resulting Numbers: [20]
20,98 unequal: No Solution
Exploring Operation: 45+65=110, Resulting Numbers: [110]
110,98 unequal: No Solution
Exploring Operation: 45*65=2925, Resulting Numbers: [2925]
2925,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
96,
71,
4,
66
] | 20 | [
"96+4=100",
"71-66=5",
"100/5=20"
] | Current State: 20:[96, 71, 4, 66], Operations: []
Exploring Operation: 96+4=100, Resulting Numbers: [71, 66, 100]
Generated Node #2: [71, 66, 100] from Operation: 96+4=100
Current State: 20:[71, 66, 100], Operations: ['96+4=100']
Exploring Operation: 71-66=5, Resulting Numbers: [100, 5]
Generated Node #3: [100, 5] from Operation: 71-66=5
Current State: 20:[100, 5], Operations: ['96+4=100', '71-66=5']
Exploring Operation: 100/5=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[96, 71, 4, 66], Operations: []
Exploring Operation: 96/4=24, Resulting Numbers: [71, 66, 24]
Generated Node #0,0: 20:[71, 66, 24] Operation: 96/4=24
Exploring Operation: 96-71=25, Resulting Numbers: [4, 66, 25]
Generated Node #0,1: 20:[4, 66, 25] Operation: 96-71=25
Exploring Operation: 71-66=5, Resulting Numbers: [96, 4, 5]
Generated Node #0,2: 20:[96, 4, 5] Operation: 71-66=5
Exploring Operation: 96-66=30, Resulting Numbers: [71, 4, 30]
Generated Node #0,3: 20:[71, 4, 30] Operation: 96-66=30
Moving to Node #0,1
Current State: 20:[4, 66, 25], Operations: ['96-71=25']
Exploring Operation: 4+66=70, Resulting Numbers: [25, 70]
Generated Node #0,1,0: 20:[25, 70] Operation: 4+66=70
Exploring Operation: 66-4=62, Resulting Numbers: [25, 62]
Generated Node #0,1,1: 20:[25, 62] Operation: 66-4=62
Exploring Operation: 66-25=41, Resulting Numbers: [4, 41]
Generated Node #0,1,2: 20:[4, 41] Operation: 66-25=41
Exploring Operation: 25-4=21, Resulting Numbers: [66, 21]
Generated Node #0,1,3: 20:[66, 21] Operation: 25-4=21
Moving to Node #0,3
Current State: 20:[71, 4, 30], Operations: ['96-66=30']
Exploring Operation: 30-4=26, Resulting Numbers: [71, 26]
Generated Node #0,3,0: 20:[71, 26] Operation: 30-4=26
Exploring Operation: 71-4=67, Resulting Numbers: [30, 67]
Generated Node #0,3,1: 20:[30, 67] Operation: 71-4=67
Exploring Operation: 71-30=41, Resulting Numbers: [4, 41]
Generated Node #0,3,2: 20:[4, 41] Operation: 71-30=41
Exploring Operation: 71+4=75, Resulting Numbers: [30, 75]
Generated Node #0,3,3: 20:[30, 75] Operation: 71+4=75
Moving to Node #0,2
Current State: 20:[96, 4, 5], Operations: ['71-66=5']
Exploring Operation: 96/4=24, Resulting Numbers: [5, 24]
Generated Node #0,2,0: 20:[5, 24] Operation: 96/4=24
Exploring Operation: 96-4=92, Resulting Numbers: [5, 92]
Generated Node #0,2,1: 20:[5, 92] Operation: 96-4=92
Exploring Operation: 96-5=91, Resulting Numbers: [4, 91]
Generated Node #0,2,2: 20:[4, 91] Operation: 96-5=91
Exploring Operation: 4*5=20, Resulting Numbers: [96, 20]
Generated Node #0,2,3: 20:[96, 20] Operation: 4*5=20
Moving to Node #0,0
Current State: 20:[71, 66, 24], Operations: ['96/4=24']
Exploring Operation: 66-24=42, Resulting Numbers: [71, 42]
Generated Node #0,0,0: 20:[71, 42] Operation: 66-24=42
Exploring Operation: 71+66=137, Resulting Numbers: [24, 137]
Generated Node #0,0,1: 20:[24, 137] Operation: 71+66=137
Exploring Operation: 71-24=47, Resulting Numbers: [66, 47]
Generated Node #0,0,2: 20:[66, 47] Operation: 71-24=47
Exploring Operation: 71-66=5, Resulting Numbers: [24, 5]
Generated Node #0,0,3: 20:[24, 5] Operation: 71-66=5
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 20:[24, 5], Operations: ['96/4=24', '71-66=5']
Exploring Operation: 24*5=120, Resulting Numbers: [120]
120,20 unequal: No Solution
Exploring Operation: 24-5=19, Resulting Numbers: [19]
19,20 unequal: No Solution
Exploring Operation: 24+5=29, Resulting Numbers: [29]
29,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 20:[71, 42], Operations: ['96/4=24', '66-24=42']
Exploring Operation: 71-42=29, Resulting Numbers: [29]
29,20 unequal: No Solution
Exploring Operation: 71+42=113, Resulting Numbers: [113]
113,20 unequal: No Solution
Exploring Operation: 71*42=2982, Resulting Numbers: [2982]
2982,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 20:[66, 47], Operations: ['96/4=24', '71-24=47']
Exploring Operation: 66+47=113, Resulting Numbers: [113]
113,20 unequal: No Solution
Exploring Operation: 66-47=19, Resulting Numbers: [19]
19,20 unequal: No Solution
Exploring Operation: 66*47=3102, Resulting Numbers: [3102]
3102,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 20:[24, 137], Operations: ['96/4=24', '71+66=137']
Exploring Operation: 24*137=3288, Resulting Numbers: [3288]
3288,20 unequal: No Solution
Exploring Operation: 137-24=113, Resulting Numbers: [113]
113,20 unequal: No Solution
Exploring Operation: 24+137=161, Resulting Numbers: [161]
161,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,0
Current State: 20:[5, 24], Operations: ['71-66=5', '96/4=24']
Exploring Operation: 5*24=120, Resulting Numbers: [120]
120,20 unequal: No Solution
Exploring Operation: 24-5=19, Resulting Numbers: [19]
19,20 unequal: No Solution
Exploring Operation: 5+24=29, Resulting Numbers: [29]
29,20 unequal: No Solution
Moving to Node #0,1,2
Current State: 20:[4, 41], Operations: ['96-71=25', '66-25=41']
Exploring Operation: 4*41=164, Resulting Numbers: [164]
164,20 unequal: No Solution
Exploring Operation: 4+41=45, Resulting Numbers: [45]
45,20 unequal: No Solution
Exploring Operation: 41-4=37, Resulting Numbers: [37]
37,20 unequal: No Solution
Moving to Node #0,3,2
Current State: 20:[4, 41], Operations: ['96-66=30', '71-30=41']
Exploring Operation: 4*41=164, Resulting Numbers: [164]
164,20 unequal: No Solution
Exploring Operation: 41-4=37, Resulting Numbers: [37]
37,20 unequal: No Solution
Exploring Operation: 4+41=45, Resulting Numbers: [45]
45,20 unequal: No Solution
Moving to Node #0,1,3
Current State: 20:[66, 21], Operations: ['96-71=25', '25-4=21']
Exploring Operation: 66+21=87, Resulting Numbers: [87]
87,20 unequal: No Solution
Exploring Operation: 66-21=45, Resulting Numbers: [45]
45,20 unequal: No Solution
Exploring Operation: 66*21=1386, Resulting Numbers: [1386]
1386,20 unequal: No Solution
Moving to Node #0,1,1
Current State: 20:[25, 62], Operations: ['96-71=25', '66-4=62']
Exploring Operation: 25*62=1550, Resulting Numbers: [1550]
1550,20 unequal: No Solution
Exploring Operation: 25+62=87, Resulting Numbers: [87]
87,20 unequal: No Solution
Exploring Operation: 62-25=37, Resulting Numbers: [37]
37,20 unequal: No Solution
Moving to Node #0,1,0
Current State: 20:[25, 70], Operations: ['96-71=25', '4+66=70']
Exploring Operation: 25+70=95, Resulting Numbers: [95]
95,20 unequal: No Solution
Exploring Operation: 25*70=1750, Resulting Numbers: [1750]
1750,20 unequal: No Solution
Exploring Operation: 70-25=45, Resulting Numbers: [45]
45,20 unequal: No Solution
Moving to Node #0,3,1
Current State: 20:[30, 67], Operations: ['96-66=30', '71-4=67']
Exploring Operation: 30+67=97, Resulting Numbers: [97]
97,20 unequal: No Solution
Exploring Operation: 67-30=37, Resulting Numbers: [37]
37,20 unequal: No Solution
Exploring Operation: 30*67=2010, Resulting Numbers: [2010]
2010,20 unequal: No Solution
Moving to Node #0,3,0
Current State: 20:[71, 26], Operations: ['96-66=30', '30-4=26']
Exploring Operation: 71+26=97, Resulting Numbers: [97]
97,20 unequal: No Solution
Exploring Operation: 71-26=45, Resulting Numbers: [45]
45,20 unequal: No Solution
Exploring Operation: 71*26=1846, Resulting Numbers: [1846]
1846,20 unequal: No Solution
Moving to Node #0,3,3
Current State: 20:[30, 75], Operations: ['96-66=30', '71+4=75']
Exploring Operation: 30*75=2250, Resulting Numbers: [2250]
2250,20 unequal: No Solution
Exploring Operation: 30+75=105, Resulting Numbers: [105]
105,20 unequal: No Solution
Exploring Operation: 75-30=45, Resulting Numbers: [45]
45,20 unequal: No Solution
Moving to Node #0,2,2
Current State: 20:[4, 91], Operations: ['71-66=5', '96-5=91']
Exploring Operation: 4*91=364, Resulting Numbers: [364]
364,20 unequal: No Solution
Exploring Operation: 91-4=87, Resulting Numbers: [87]
87,20 unequal: No Solution
Exploring Operation: 4+91=95, Resulting Numbers: [95]
95,20 unequal: No Solution
Moving to Node #0,2,1
Current State: 20:[5, 92], Operations: ['71-66=5', '96-4=92']
Exploring Operation: 5+92=97, Resulting Numbers: [97]
97,20 unequal: No Solution
Exploring Operation: 5*92=460, Resulting Numbers: [460]
460,20 unequal: No Solution
Exploring Operation: 92-5=87, Resulting Numbers: [87]
87,20 unequal: No Solution
Moving to Node #0,2,3
Current State: 20:[96, 20], Operations: ['71-66=5', '4*5=20']
Exploring Operation: 96*20=1920, Resulting Numbers: [1920]
1920,20 unequal: No Solution
Exploring Operation: 96+20=116, Resulting Numbers: [116]
116,20 unequal: No Solution
Exploring Operation: 96-20=76, Resulting Numbers: [76]
76,20 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
28,
3,
95,
29
] | 97 | [
"28+3=31",
"95-29=66",
"31+66=97"
] | Current State: 97:[28, 3, 95, 29], Operations: []
Exploring Operation: 28+3=31, Resulting Numbers: [95, 29, 31]
Generated Node #2: [95, 29, 31] from Operation: 28+3=31
Current State: 97:[95, 29, 31], Operations: ['28+3=31']
Exploring Operation: 95-29=66, Resulting Numbers: [31, 66]
Generated Node #3: [31, 66] from Operation: 95-29=66
Current State: 97:[31, 66], Operations: ['28+3=31', '95-29=66']
Exploring Operation: 31+66=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[28, 3, 95, 29], Operations: []
Exploring Operation: 3*29=87, Resulting Numbers: [28, 95, 87]
Generated Node #0,0: 97:[28, 95, 87] Operation: 3*29=87
Exploring Operation: 28*3=84, Resulting Numbers: [95, 29, 84]
Generated Node #0,1: 97:[95, 29, 84] Operation: 28*3=84
Moving to Node #0,0
Current State: 97:[28, 95, 87], Operations: ['3*29=87']
Exploring Operation: 28+95=123, Resulting Numbers: [87, 123]
Generated Node #0,0,0: 97:[87, 123] Operation: 28+95=123
Exploring Operation: 28+87=115, Resulting Numbers: [95, 115]
Generated Node #0,0,1: 97:[95, 115] Operation: 28+87=115
Moving to Node #0,1
Current State: 97:[95, 29, 84], Operations: ['28*3=84']
Exploring Operation: 29+84=113, Resulting Numbers: [95, 113]
Generated Node #0,1,0: 97:[95, 113] Operation: 29+84=113
Exploring Operation: 95+29=124, Resulting Numbers: [84, 124]
Generated Node #0,1,1: 97:[84, 124] Operation: 95+29=124
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 97:[95, 113], Operations: ['28*3=84', '29+84=113']
Exploring Operation: 95+113=208, Resulting Numbers: [208]
208,97 unequal: No Solution
Exploring Operation: 113-95=18, Resulting Numbers: [18]
18,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 97:[84, 124], Operations: ['28*3=84', '95+29=124']
Exploring Operation: 124-84=40, Resulting Numbers: [40]
40,97 unequal: No Solution
Exploring Operation: 84+124=208, Resulting Numbers: [208]
208,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,1
Current State: 97:[95, 115], Operations: ['3*29=87', '28+87=115']
Exploring Operation: 95+115=210, Resulting Numbers: [210]
210,97 unequal: No Solution
Exploring Operation: 115-95=20, Resulting Numbers: [20]
20,97 unequal: No Solution
Moving to Node #0,0,0
Current State: 97:[87, 123], Operations: ['3*29=87', '28+95=123']
Exploring Operation: 123-87=36, Resulting Numbers: [36]
36,97 unequal: No Solution
Exploring Operation: 87+123=210, Resulting Numbers: [210]
210,97 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
68,
24,
78,
47
] | 26 | [
"68-24=44",
"47-44=3",
"78/3=26"
] | Current State: 26:[68, 24, 78, 47], Operations: []
Exploring Operation: 68-24=44, Resulting Numbers: [78, 47, 44]
Generated Node #2: [78, 47, 44] from Operation: 68-24=44
Current State: 26:[78, 47, 44], Operations: ['68-24=44']
Exploring Operation: 47-44=3, Resulting Numbers: [78, 3]
Generated Node #3: [78, 3] from Operation: 47-44=3
Current State: 26:[78, 3], Operations: ['68-24=44', '47-44=3']
Exploring Operation: 78/3=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[68, 24, 78, 47], Operations: []
Exploring Operation: 78-68=10, Resulting Numbers: [24, 47, 10]
Generated Node #0,0: 26:[24, 47, 10] Operation: 78-68=10
Start Sub Search at level 1: Moving to Node #0,0
Current State: 26:[24, 47, 10], Operations: ['78-68=10']
Exploring Operation: 47-24=23, Resulting Numbers: [10, 23]
Generated Node #0,0,0: 26:[10, 23] Operation: 47-24=23
Moving to Node #0,0,0
Current State: 26:[10, 23], Operations: ['78-68=10', '47-24=23']
Exploring Operation: 23-10=13, Resulting Numbers: [13]
13,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
79,
70,
24,
43
] | 28 | [
"79-70=9",
"43-24=19",
"9+19=28"
] | Current State: 28:[79, 70, 24, 43], Operations: []
Exploring Operation: 79-70=9, Resulting Numbers: [24, 43, 9]
Generated Node #2: [24, 43, 9] from Operation: 79-70=9
Current State: 28:[24, 43, 9], Operations: ['79-70=9']
Exploring Operation: 43-24=19, Resulting Numbers: [9, 19]
Generated Node #3: [9, 19] from Operation: 43-24=19
Current State: 28:[9, 19], Operations: ['79-70=9', '43-24=19']
Exploring Operation: 9+19=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[79, 70, 24, 43], Operations: []
Exploring Operation: 79-24=55, Resulting Numbers: [70, 43, 55]
Generated Node #0,0: 28:[70, 43, 55] Operation: 79-24=55
Exploring Operation: 79-43=36, Resulting Numbers: [70, 24, 36]
Generated Node #0,1: 28:[70, 24, 36] Operation: 79-43=36
Exploring Operation: 70-24=46, Resulting Numbers: [79, 43, 46]
Generated Node #0,2: 28:[79, 43, 46] Operation: 70-24=46
Exploring Operation: 70-43=27, Resulting Numbers: [79, 24, 27]
Generated Node #0,3: 28:[79, 24, 27] Operation: 70-43=27
Exploring Operation: 79-70=9, Resulting Numbers: [24, 43, 9]
Generated Node #0,4: 28:[24, 43, 9] Operation: 79-70=9
Start Sub Search at level 1: Moving to Node #0,4
Current State: 28:[24, 43, 9], Operations: ['79-70=9']
Exploring Operation: 43-9=34, Resulting Numbers: [24, 34]
Generated Node #0,4,0: 28:[24, 34] Operation: 43-9=34
Exploring Operation: 43+9=52, Resulting Numbers: [24, 52]
Generated Node #0,4,1: 28:[24, 52] Operation: 43+9=52
Exploring Operation: 24-9=15, Resulting Numbers: [43, 15]
Generated Node #0,4,2: 28:[43, 15] Operation: 24-9=15
Exploring Operation: 43-24=19, Resulting Numbers: [9, 19]
Generated Node #0,4,3: 28:[9, 19] Operation: 43-24=19
Exploring Operation: 24+9=33, Resulting Numbers: [43, 33]
Generated Node #0,4,4: 28:[43, 33] Operation: 24+9=33
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 28:[9, 19], Operations: ['79-70=9', '43-24=19']
Exploring Operation: 9*19=171, Resulting Numbers: [171]
171,28 unequal: No Solution
Exploring Operation: 19-9=10, Resulting Numbers: [10]
10,28 unequal: No Solution
Exploring Operation: 9+19=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[79, 70, 24, 43], Operations: []
Exploring Operation: 79-70=9, Resulting Numbers: [24, 43, 9]
Generated Node #0,4: 28:[24, 43, 9] Operation: 79-70=9
Moving to Node #0,4
Current State: 28:[24, 43, 9], Operations: ['79-70=9']
Exploring Operation: 43-24=19, Resulting Numbers: [9, 19]
Generated Node #0,4,3: 28:[9, 19] Operation: 43-24=19
Moving to Node #0,4,3
Current State: 28:[9, 19], Operations: ['79-70=9', '43-24=19']
Exploring Operation: 9+19=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.985243 | hs_5 | mult_heuristic |
[
1,
47,
37,
3
] | 81 | [
"1*47=47",
"37-3=34",
"47+34=81"
] | Current State: 81:[1, 47, 37, 3], Operations: []
Exploring Operation: 1*47=47, Resulting Numbers: [37, 3, 47]
Generated Node #2: [37, 3, 47] from Operation: 1*47=47
Current State: 81:[37, 3, 47], Operations: ['1*47=47']
Exploring Operation: 37-3=34, Resulting Numbers: [47, 34]
Generated Node #3: [47, 34] from Operation: 37-3=34
Current State: 81:[47, 34], Operations: ['1*47=47', '37-3=34']
Exploring Operation: 47+34=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[1, 47, 37, 3], Operations: []
Exploring Operation: 47-37=10, Resulting Numbers: [1, 3, 10]
Generated Node #0,0: 81:[1, 3, 10] Operation: 47-37=10
Exploring Operation: 47+37=84, Resulting Numbers: [1, 3, 84]
Generated Node #0,1: 81:[1, 3, 84] Operation: 47+37=84
Moving to Node #0,0
Current State: 81:[1, 3, 10], Operations: ['47-37=10']
Exploring Operation: 10-1=9, Resulting Numbers: [3, 9]
Generated Node #0,0,0: 81:[3, 9] Operation: 10-1=9
Exploring Operation: 1*3=3, Resulting Numbers: [10, 3]
Generated Node #0,0,1: 81:[10, 3] Operation: 1*3=3
Moving to Node #0,1
Current State: 81:[1, 3, 84], Operations: ['47+37=84']
Exploring Operation: 84-3=81, Resulting Numbers: [1, 81]
Generated Node #0,1,0: 81:[1, 81] Operation: 84-3=81
Exploring Operation: 84-1=83, Resulting Numbers: [3, 83]
Generated Node #0,1,1: 81:[3, 83] Operation: 84-1=83
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 81:[1, 81], Operations: ['47+37=84', '84-3=81']
Exploring Operation: 1*81=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Moving to Node #0
Current State: 81:[1, 47, 37, 3], Operations: []
Exploring Operation: 47+37=84, Resulting Numbers: [1, 3, 84]
Generated Node #0,1: 81:[1, 3, 84] Operation: 47+37=84
Moving to Node #0,1
Current State: 81:[1, 3, 84], Operations: ['47+37=84']
Exploring Operation: 84-3=81, Resulting Numbers: [1, 81]
Generated Node #0,1,0: 81:[1, 81] Operation: 84-3=81
Moving to Node #0,1,0
Current State: 81:[1, 81], Operations: ['47+37=84', '84-3=81']
Exploring Operation: 1*81=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_2 | mult_heuristic |
[
70,
29,
74,
85
] | 14 | [
"74-70=4",
"85-29=56",
"56/4=14"
] | Current State: 14:[70, 29, 74, 85], Operations: []
Exploring Operation: 74-70=4, Resulting Numbers: [29, 85, 4]
Generated Node #2: [29, 85, 4] from Operation: 74-70=4
Current State: 14:[29, 85, 4], Operations: ['74-70=4']
Exploring Operation: 85-29=56, Resulting Numbers: [4, 56]
Generated Node #3: [4, 56] from Operation: 85-29=56
Current State: 14:[4, 56], Operations: ['74-70=4', '85-29=56']
Exploring Operation: 56/4=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[70, 29, 74, 85], Operations: []
Exploring Operation: 85-70=15, Resulting Numbers: [29, 74, 15]
Generated Node #0,0: 14:[29, 74, 15] Operation: 85-70=15
Exploring Operation: 85-74=11, Resulting Numbers: [70, 29, 11]
Generated Node #0,1: 14:[70, 29, 11] Operation: 85-74=11
Start Sub Search at level 1: Moving to Node #0,1
Current State: 14:[70, 29, 11], Operations: ['85-74=11']
Exploring Operation: 70-11=59, Resulting Numbers: [29, 59]
Generated Node #0,1,0: 14:[29, 59] Operation: 70-11=59
Exploring Operation: 70-29=41, Resulting Numbers: [11, 41]
Generated Node #0,1,1: 14:[11, 41] Operation: 70-29=41
Moving to Node #0,1,1
Current State: 14:[11, 41], Operations: ['85-74=11', '70-29=41']
Exploring Operation: 41-11=30, Resulting Numbers: [30]
30,14 unequal: No Solution
Exploring Operation: 11+41=52, Resulting Numbers: [52]
52,14 unequal: No Solution
Moving to Node #0,1,0
Current State: 14:[29, 59], Operations: ['85-74=11', '70-11=59']
Exploring Operation: 59-29=30, Resulting Numbers: [30]
30,14 unequal: No Solution
Exploring Operation: 29+59=88, Resulting Numbers: [88]
88,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 14:[29, 74, 15], Operations: ['85-70=15']
Exploring Operation: 74-29=45, Resulting Numbers: [15, 45]
Generated Node #0,0,0: 14:[15, 45] Operation: 74-29=45
Exploring Operation: 29-15=14, Resulting Numbers: [74, 14]
Generated Node #0,0,1: 14:[74, 14] Operation: 29-15=14
Moving to Node #0,0,0
Current State: 14:[15, 45], Operations: ['85-70=15', '74-29=45']
Exploring Operation: 45/15=3, Resulting Numbers: [3]
3,14 unequal: No Solution
Exploring Operation: 45-15=30, Resulting Numbers: [30]
30,14 unequal: No Solution
Moving to Node #0,0,1
Current State: 14:[74, 14], Operations: ['85-70=15', '29-15=14']
Exploring Operation: 74-14=60, Resulting Numbers: [60]
60,14 unequal: No Solution
Exploring Operation: 74+14=88, Resulting Numbers: [88]
88,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
97,
13,
81,
2
] | 45 | [
"97-81=16",
"2*16=32",
"13+32=45"
] | Current State: 45:[97, 13, 81, 2], Operations: []
Exploring Operation: 97-81=16, Resulting Numbers: [13, 2, 16]
Generated Node #2: [13, 2, 16] from Operation: 97-81=16
Current State: 45:[13, 2, 16], Operations: ['97-81=16']
Exploring Operation: 2*16=32, Resulting Numbers: [13, 32]
Generated Node #3: [13, 32] from Operation: 2*16=32
Current State: 45:[13, 32], Operations: ['97-81=16', '2*16=32']
Exploring Operation: 13+32=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[97, 13, 81, 2], Operations: []
Exploring Operation: 97-2=95, Resulting Numbers: [13, 81, 95]
Generated Node #0,0: 45:[13, 81, 95] Operation: 97-2=95
Exploring Operation: 97-81=16, Resulting Numbers: [13, 2, 16]
Generated Node #0,1: 45:[13, 2, 16] Operation: 97-81=16
Exploring Operation: 97-13=84, Resulting Numbers: [81, 2, 84]
Generated Node #0,2: 45:[81, 2, 84] Operation: 97-13=84
Exploring Operation: 81-13=68, Resulting Numbers: [97, 2, 68]
Generated Node #0,3: 45:[97, 2, 68] Operation: 81-13=68
Moving to Node #0,1
Current State: 45:[13, 2, 16], Operations: ['97-81=16']
Exploring Operation: 13+2=15, Resulting Numbers: [16, 15]
Generated Node #0,1,0: 45:[16, 15] Operation: 13+2=15
Exploring Operation: 16-13=3, Resulting Numbers: [2, 3]
Generated Node #0,1,1: 45:[2, 3] Operation: 16-13=3
Exploring Operation: 16-2=14, Resulting Numbers: [13, 14]
Generated Node #0,1,2: 45:[13, 14] Operation: 16-2=14
Exploring Operation: 13-2=11, Resulting Numbers: [16, 11]
Generated Node #0,1,3: 45:[16, 11] Operation: 13-2=11
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 45:[16, 15], Operations: ['97-81=16', '13+2=15']
Exploring Operation: 16-15=1, Resulting Numbers: [1]
1,45 unequal: No Solution
Exploring Operation: 16*15=240, Resulting Numbers: [240]
240,45 unequal: No Solution
Exploring Operation: 16+15=31, Resulting Numbers: [31]
31,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 45:[2, 3], Operations: ['97-81=16', '16-13=3']
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,45 unequal: No Solution
Exploring Operation: 2+3=5, Resulting Numbers: [5]
5,45 unequal: No Solution
Exploring Operation: 2*3=6, Resulting Numbers: [6]
6,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 45:[13, 14], Operations: ['97-81=16', '16-2=14']
Exploring Operation: 13*14=182, Resulting Numbers: [182]
182,45 unequal: No Solution
Exploring Operation: 13+14=27, Resulting Numbers: [27]
27,45 unequal: No Solution
Exploring Operation: 14-13=1, Resulting Numbers: [1]
1,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 45:[16, 11], Operations: ['97-81=16', '13-2=11']
Exploring Operation: 16+11=27, Resulting Numbers: [27]
27,45 unequal: No Solution
Exploring Operation: 16*11=176, Resulting Numbers: [176]
176,45 unequal: No Solution
Exploring Operation: 16-11=5, Resulting Numbers: [5]
5,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 45:[97, 2, 68], Operations: ['81-13=68']
Exploring Operation: 97-68=29, Resulting Numbers: [2, 29]
Generated Node #0,3,0: 45:[2, 29] Operation: 97-68=29
Exploring Operation: 68/2=34, Resulting Numbers: [97, 34]
Generated Node #0,3,1: 45:[97, 34] Operation: 68/2=34
Exploring Operation: 97-2=95, Resulting Numbers: [68, 95]
Generated Node #0,3,2: 45:[68, 95] Operation: 97-2=95
Exploring Operation: 68-2=66, Resulting Numbers: [97, 66]
Generated Node #0,3,3: 45:[97, 66] Operation: 68-2=66
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 45:[2, 29], Operations: ['81-13=68', '97-68=29']
Exploring Operation: 2*29=58, Resulting Numbers: [58]
58,45 unequal: No Solution
Exploring Operation: 29-2=27, Resulting Numbers: [27]
27,45 unequal: No Solution
Exploring Operation: 2+29=31, Resulting Numbers: [31]
31,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 45:[97, 34], Operations: ['81-13=68', '68/2=34']
Exploring Operation: 97+34=131, Resulting Numbers: [131]
131,45 unequal: No Solution
Exploring Operation: 97*34=3298, Resulting Numbers: [3298]
3298,45 unequal: No Solution
Exploring Operation: 97-34=63, Resulting Numbers: [63]
63,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 45:[68, 95], Operations: ['81-13=68', '97-2=95']
Exploring Operation: 68+95=163, Resulting Numbers: [163]
163,45 unequal: No Solution
Exploring Operation: 95-68=27, Resulting Numbers: [27]
27,45 unequal: No Solution
Exploring Operation: 68*95=6460, Resulting Numbers: [6460]
6460,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 45:[97, 66], Operations: ['81-13=68', '68-2=66']
Exploring Operation: 97*66=6402, Resulting Numbers: [6402]
6402,45 unequal: No Solution
Exploring Operation: 97-66=31, Resulting Numbers: [31]
31,45 unequal: No Solution
Exploring Operation: 97+66=163, Resulting Numbers: [163]
163,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 45:[81, 2, 84], Operations: ['97-13=84']
Exploring Operation: 84-81=3, Resulting Numbers: [2, 3]
Generated Node #0,2,0: 45:[2, 3] Operation: 84-81=3
Exploring Operation: 84/2=42, Resulting Numbers: [81, 42]
Generated Node #0,2,1: 45:[81, 42] Operation: 84/2=42
Exploring Operation: 81-2=79, Resulting Numbers: [84, 79]
Generated Node #0,2,2: 45:[84, 79] Operation: 81-2=79
Exploring Operation: 84-2=82, Resulting Numbers: [81, 82]
Generated Node #0,2,3: 45:[81, 82] Operation: 84-2=82
Moving to Node #0,0
Current State: 45:[13, 81, 95], Operations: ['97-2=95']
Exploring Operation: 13+81=94, Resulting Numbers: [95, 94]
Generated Node #0,0,0: 45:[95, 94] Operation: 13+81=94
Exploring Operation: 81-13=68, Resulting Numbers: [95, 68]
Generated Node #0,0,1: 45:[95, 68] Operation: 81-13=68
Exploring Operation: 95-13=82, Resulting Numbers: [81, 82]
Generated Node #0,0,2: 45:[81, 82] Operation: 95-13=82
Exploring Operation: 95-81=14, Resulting Numbers: [13, 14]
Generated Node #0,0,3: 45:[13, 14] Operation: 95-81=14
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 45:[13, 14], Operations: ['97-2=95', '95-81=14']
Exploring Operation: 13*14=182, Resulting Numbers: [182]
182,45 unequal: No Solution
Exploring Operation: 14-13=1, Resulting Numbers: [1]
1,45 unequal: No Solution
Exploring Operation: 13+14=27, Resulting Numbers: [27]
27,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 45:[95, 68], Operations: ['97-2=95', '81-13=68']
Exploring Operation: 95*68=6460, Resulting Numbers: [6460]
6460,45 unequal: No Solution
Exploring Operation: 95-68=27, Resulting Numbers: [27]
27,45 unequal: No Solution
Exploring Operation: 95+68=163, Resulting Numbers: [163]
163,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 45:[81, 82], Operations: ['97-2=95', '95-13=82']
Exploring Operation: 81*82=6642, Resulting Numbers: [6642]
6642,45 unequal: No Solution
Exploring Operation: 81+82=163, Resulting Numbers: [163]
163,45 unequal: No Solution
Exploring Operation: 82-81=1, Resulting Numbers: [1]
1,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 45:[95, 94], Operations: ['97-2=95', '13+81=94']
Exploring Operation: 95*94=8930, Resulting Numbers: [8930]
8930,45 unequal: No Solution
Exploring Operation: 95-94=1, Resulting Numbers: [1]
1,45 unequal: No Solution
Exploring Operation: 95+94=189, Resulting Numbers: [189]
189,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,0
Current State: 45:[2, 3], Operations: ['97-13=84', '84-81=3']
Exploring Operation: 2*3=6, Resulting Numbers: [6]
6,45 unequal: No Solution
Exploring Operation: 2+3=5, Resulting Numbers: [5]
5,45 unequal: No Solution
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,45 unequal: No Solution
Moving to Node #0,2,1
Current State: 45:[81, 42], Operations: ['97-13=84', '84/2=42']
Exploring Operation: 81-42=39, Resulting Numbers: [39]
39,45 unequal: No Solution
Exploring Operation: 81+42=123, Resulting Numbers: [123]
123,45 unequal: No Solution
Exploring Operation: 81*42=3402, Resulting Numbers: [3402]
3402,45 unequal: No Solution
Moving to Node #0,2,3
Current State: 45:[81, 82], Operations: ['97-13=84', '84-2=82']
Exploring Operation: 81+82=163, Resulting Numbers: [163]
163,45 unequal: No Solution
Exploring Operation: 82-81=1, Resulting Numbers: [1]
1,45 unequal: No Solution
Exploring Operation: 81*82=6642, Resulting Numbers: [6642]
6642,45 unequal: No Solution
Moving to Node #0,2,2
Current State: 45:[84, 79], Operations: ['97-13=84', '81-2=79']
Exploring Operation: 84-79=5, Resulting Numbers: [5]
5,45 unequal: No Solution
Exploring Operation: 84*79=6636, Resulting Numbers: [6636]
6636,45 unequal: No Solution
Exploring Operation: 84+79=163, Resulting Numbers: [163]
163,45 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
68,
62,
20,
50
] | 15 | [
"68-62=6",
"50*6=300",
"300/20=15"
] | Current State: 15:[68, 62, 20, 50], Operations: []
Exploring Operation: 68-62=6, Resulting Numbers: [20, 50, 6]
Generated Node #2: [20, 50, 6] from Operation: 68-62=6
Current State: 15:[20, 50, 6], Operations: ['68-62=6']
Exploring Operation: 50*6=300, Resulting Numbers: [20, 300]
Generated Node #3: [20, 300] from Operation: 50*6=300
Current State: 15:[20, 300], Operations: ['68-62=6', '50*6=300']
Exploring Operation: 300/20=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[68, 62, 20, 50], Operations: []
Exploring Operation: 68-62=6, Resulting Numbers: [20, 50, 6]
Generated Node #0,0: 15:[20, 50, 6] Operation: 68-62=6
Exploring Operation: 68-50=18, Resulting Numbers: [62, 20, 18]
Generated Node #0,1: 15:[62, 20, 18] Operation: 68-50=18
Start Sub Search at level 1: Moving to Node #0,0
Current State: 15:[20, 50, 6], Operations: ['68-62=6']
Exploring Operation: 50-20=30, Resulting Numbers: [6, 30]
Generated Node #0,0,0: 15:[6, 30] Operation: 50-20=30
Exploring Operation: 50-6=44, Resulting Numbers: [20, 44]
Generated Node #0,0,1: 15:[20, 44] Operation: 50-6=44
Moving to Node #0,0,0
Current State: 15:[6, 30], Operations: ['68-62=6', '50-20=30']
Exploring Operation: 30/6=5, Resulting Numbers: [5]
5,15 unequal: No Solution
Exploring Operation: 30-6=24, Resulting Numbers: [24]
24,15 unequal: No Solution
Moving to Node #0,0,1
Current State: 15:[20, 44], Operations: ['68-62=6', '50-6=44']
Exploring Operation: 44-20=24, Resulting Numbers: [24]
24,15 unequal: No Solution
Exploring Operation: 20+44=64, Resulting Numbers: [64]
64,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 15:[62, 20, 18], Operations: ['68-50=18']
Exploring Operation: 62-18=44, Resulting Numbers: [20, 44]
Generated Node #0,1,0: 15:[20, 44] Operation: 62-18=44
Exploring Operation: 62-20=42, Resulting Numbers: [18, 42]
Generated Node #0,1,1: 15:[18, 42] Operation: 62-20=42
Moving to Node #0,1,1
Current State: 15:[18, 42], Operations: ['68-50=18', '62-20=42']
Exploring Operation: 42-18=24, Resulting Numbers: [24]
24,15 unequal: No Solution
Exploring Operation: 18+42=60, Resulting Numbers: [60]
60,15 unequal: No Solution
Moving to Node #0,1,0
Current State: 15:[20, 44], Operations: ['68-50=18', '62-18=44']
Exploring Operation: 44-20=24, Resulting Numbers: [24]
24,15 unequal: No Solution
Exploring Operation: 20+44=64, Resulting Numbers: [64]
64,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
44,
51,
63,
8
] | 48 | [
"51-44=7",
"63-8=55",
"55-7=48"
] | Current State: 48:[44, 51, 63, 8], Operations: []
Exploring Operation: 51-44=7, Resulting Numbers: [63, 8, 7]
Generated Node #2: [63, 8, 7] from Operation: 51-44=7
Current State: 48:[63, 8, 7], Operations: ['51-44=7']
Exploring Operation: 63-8=55, Resulting Numbers: [7, 55]
Generated Node #3: [7, 55] from Operation: 63-8=55
Current State: 48:[7, 55], Operations: ['51-44=7', '63-8=55']
Exploring Operation: 55-7=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[44, 51, 63, 8], Operations: []
Exploring Operation: 63-51=12, Resulting Numbers: [44, 8, 12]
Generated Node #0,0: 48:[44, 8, 12] Operation: 63-51=12
Exploring Operation: 63-8=55, Resulting Numbers: [44, 51, 55]
Generated Node #0,1: 48:[44, 51, 55] Operation: 63-8=55
Exploring Operation: 63-44=19, Resulting Numbers: [51, 8, 19]
Generated Node #0,2: 48:[51, 8, 19] Operation: 63-44=19
Moving to Node #0,0
Current State: 48:[44, 8, 12], Operations: ['63-51=12']
Exploring Operation: 44+8=52, Resulting Numbers: [12, 52]
Generated Node #0,0,0: 48:[12, 52] Operation: 44+8=52
Exploring Operation: 12-8=4, Resulting Numbers: [44, 4]
Generated Node #0,0,1: 48:[44, 4] Operation: 12-8=4
Exploring Operation: 44+12=56, Resulting Numbers: [8, 56]
Generated Node #0,0,2: 48:[8, 56] Operation: 44+12=56
Moving to Node #0,2
Current State: 48:[51, 8, 19], Operations: ['63-44=19']
Exploring Operation: 19-8=11, Resulting Numbers: [51, 11]
Generated Node #0,2,0: 48:[51, 11] Operation: 19-8=11
Exploring Operation: 51-8=43, Resulting Numbers: [19, 43]
Generated Node #0,2,1: 48:[19, 43] Operation: 51-8=43
Exploring Operation: 8+19=27, Resulting Numbers: [51, 27]
Generated Node #0,2,2: 48:[51, 27] Operation: 8+19=27
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 48:[51, 11], Operations: ['63-44=19', '19-8=11']
Exploring Operation: 51-11=40, Resulting Numbers: [40]
40,48 unequal: No Solution
Exploring Operation: 51+11=62, Resulting Numbers: [62]
62,48 unequal: No Solution
Exploring Operation: 51*11=561, Resulting Numbers: [561]
561,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 48:[51, 27], Operations: ['63-44=19', '8+19=27']
Exploring Operation: 51*27=1377, Resulting Numbers: [1377]
1377,48 unequal: No Solution
Exploring Operation: 51+27=78, Resulting Numbers: [78]
78,48 unequal: No Solution
Exploring Operation: 51-27=24, Resulting Numbers: [24]
24,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 48:[19, 43], Operations: ['63-44=19', '51-8=43']
Exploring Operation: 19+43=62, Resulting Numbers: [62]
62,48 unequal: No Solution
Exploring Operation: 19*43=817, Resulting Numbers: [817]
817,48 unequal: No Solution
Exploring Operation: 43-19=24, Resulting Numbers: [24]
24,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 48:[44, 51, 55], Operations: ['63-8=55']
Exploring Operation: 55-44=11, Resulting Numbers: [51, 11]
Generated Node #0,1,0: 48:[51, 11] Operation: 55-44=11
Exploring Operation: 55-51=4, Resulting Numbers: [44, 4]
Generated Node #0,1,1: 48:[44, 4] Operation: 55-51=4
Exploring Operation: 51-44=7, Resulting Numbers: [55, 7]
Generated Node #0,1,2: 48:[55, 7] Operation: 51-44=7
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 48:[51, 11], Operations: ['63-8=55', '55-44=11']
Exploring Operation: 51*11=561, Resulting Numbers: [561]
561,48 unequal: No Solution
Exploring Operation: 51-11=40, Resulting Numbers: [40]
40,48 unequal: No Solution
Exploring Operation: 51+11=62, Resulting Numbers: [62]
62,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 48:[44, 4], Operations: ['63-8=55', '55-51=4']
Exploring Operation: 44-4=40, Resulting Numbers: [40]
40,48 unequal: No Solution
Exploring Operation: 44/4=11, Resulting Numbers: [11]
11,48 unequal: No Solution
Exploring Operation: 44+4=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Moving to Node #0
Current State: 48:[44, 51, 63, 8], Operations: []
Exploring Operation: 63-8=55, Resulting Numbers: [44, 51, 55]
Generated Node #0,1: 48:[44, 51, 55] Operation: 63-8=55
Moving to Node #0,1
Current State: 48:[44, 51, 55], Operations: ['63-8=55']
Exploring Operation: 55-51=4, Resulting Numbers: [44, 4]
Generated Node #0,1,1: 48:[44, 4] Operation: 55-51=4
Moving to Node #0,1,1
Current State: 48:[44, 4], Operations: ['63-8=55', '55-51=4']
Exploring Operation: 44+4=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Exit Sub Search at level 1
| 0.97309 | hs_3 | sum_heuristic |
[
64,
81,
67,
56
] | 28 | [
"81-64=17",
"67-56=11",
"17+11=28"
] | Current State: 28:[64, 81, 67, 56], Operations: []
Exploring Operation: 81-64=17, Resulting Numbers: [67, 56, 17]
Generated Node #2: [67, 56, 17] from Operation: 81-64=17
Current State: 28:[67, 56, 17], Operations: ['81-64=17']
Exploring Operation: 67-56=11, Resulting Numbers: [17, 11]
Generated Node #3: [17, 11] from Operation: 67-56=11
Current State: 28:[17, 11], Operations: ['81-64=17', '67-56=11']
Exploring Operation: 17+11=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[64, 81, 67, 56], Operations: []
Exploring Operation: 81-64=17, Resulting Numbers: [67, 56, 17]
Generated Node #0,0: 28:[67, 56, 17] Operation: 81-64=17
Exploring Operation: 81-56=25, Resulting Numbers: [64, 67, 25]
Generated Node #0,1: 28:[64, 67, 25] Operation: 81-56=25
Exploring Operation: 67-64=3, Resulting Numbers: [81, 56, 3]
Generated Node #0,2: 28:[81, 56, 3] Operation: 67-64=3
Exploring Operation: 81-67=14, Resulting Numbers: [64, 56, 14]
Generated Node #0,3: 28:[64, 56, 14] Operation: 81-67=14
Moving to Node #0,3
Current State: 28:[64, 56, 14], Operations: ['81-67=14']
Exploring Operation: 56-14=42, Resulting Numbers: [64, 42]
Generated Node #0,3,0: 28:[64, 42] Operation: 56-14=42
Exploring Operation: 56/14=4, Resulting Numbers: [64, 4]
Generated Node #0,3,1: 28:[64, 4] Operation: 56/14=4
Exploring Operation: 64-14=50, Resulting Numbers: [56, 50]
Generated Node #0,3,2: 28:[56, 50] Operation: 64-14=50
Exploring Operation: 64-56=8, Resulting Numbers: [14, 8]
Generated Node #0,3,3: 28:[14, 8] Operation: 64-56=8
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 28:[14, 8], Operations: ['81-67=14', '64-56=8']
Exploring Operation: 14+8=22, Resulting Numbers: [22]
22,28 unequal: No Solution
Exploring Operation: 14*8=112, Resulting Numbers: [112]
112,28 unequal: No Solution
Exploring Operation: 14-8=6, Resulting Numbers: [6]
6,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 28:[64, 4], Operations: ['81-67=14', '56/14=4']
Exploring Operation: 64*4=256, Resulting Numbers: [256]
256,28 unequal: No Solution
Exploring Operation: 64/4=16, Resulting Numbers: [16]
16,28 unequal: No Solution
Exploring Operation: 64-4=60, Resulting Numbers: [60]
60,28 unequal: No Solution
Exploring Operation: 64+4=68, Resulting Numbers: [68]
68,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 28:[64, 42], Operations: ['81-67=14', '56-14=42']
Exploring Operation: 64+42=106, Resulting Numbers: [106]
106,28 unequal: No Solution
Exploring Operation: 64-42=22, Resulting Numbers: [22]
22,28 unequal: No Solution
Exploring Operation: 64*42=2688, Resulting Numbers: [2688]
2688,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 28:[56, 50], Operations: ['81-67=14', '64-14=50']
Exploring Operation: 56-50=6, Resulting Numbers: [6]
6,28 unequal: No Solution
Exploring Operation: 56*50=2800, Resulting Numbers: [2800]
2800,28 unequal: No Solution
Exploring Operation: 56+50=106, Resulting Numbers: [106]
106,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 28:[67, 56, 17], Operations: ['81-64=17']
Exploring Operation: 67+17=84, Resulting Numbers: [56, 84]
Generated Node #0,0,0: 28:[56, 84] Operation: 67+17=84
Exploring Operation: 67-56=11, Resulting Numbers: [17, 11]
Generated Node #0,0,1: 28:[17, 11] Operation: 67-56=11
Exploring Operation: 67-17=50, Resulting Numbers: [56, 50]
Generated Node #0,0,2: 28:[56, 50] Operation: 67-17=50
Exploring Operation: 56-17=39, Resulting Numbers: [67, 39]
Generated Node #0,0,3: 28:[67, 39] Operation: 56-17=39
Moving to Node #0,1
Current State: 28:[64, 67, 25], Operations: ['81-56=25']
Exploring Operation: 67-64=3, Resulting Numbers: [25, 3]
Generated Node #0,1,0: 28:[25, 3] Operation: 67-64=3
Exploring Operation: 64+25=89, Resulting Numbers: [67, 89]
Generated Node #0,1,1: 28:[67, 89] Operation: 64+25=89
Exploring Operation: 64-25=39, Resulting Numbers: [67, 39]
Generated Node #0,1,2: 28:[67, 39] Operation: 64-25=39
Exploring Operation: 67-25=42, Resulting Numbers: [64, 42]
Generated Node #0,1,3: 28:[64, 42] Operation: 67-25=42
Moving to Node #0,2
Current State: 28:[81, 56, 3], Operations: ['67-64=3']
Exploring Operation: 81-3=78, Resulting Numbers: [56, 78]
Generated Node #0,2,0: 28:[56, 78] Operation: 81-3=78
Exploring Operation: 81/3=27, Resulting Numbers: [56, 27]
Generated Node #0,2,1: 28:[56, 27] Operation: 81/3=27
Exploring Operation: 56-3=53, Resulting Numbers: [81, 53]
Generated Node #0,2,2: 28:[81, 53] Operation: 56-3=53
Exploring Operation: 81-56=25, Resulting Numbers: [3, 25]
Generated Node #0,2,3: 28:[3, 25] Operation: 81-56=25
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 28:[3, 25], Operations: ['67-64=3', '81-56=25']
Exploring Operation: 3*25=75, Resulting Numbers: [75]
75,28 unequal: No Solution
Exploring Operation: 25-3=22, Resulting Numbers: [22]
22,28 unequal: No Solution
Exploring Operation: 3+25=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[64, 81, 67, 56], Operations: []
Exploring Operation: 67-64=3, Resulting Numbers: [81, 56, 3]
Generated Node #0,2: 28:[81, 56, 3] Operation: 67-64=3
Moving to Node #0,2
Current State: 28:[81, 56, 3], Operations: ['67-64=3']
Exploring Operation: 81-56=25, Resulting Numbers: [3, 25]
Generated Node #0,2,3: 28:[3, 25] Operation: 81-56=25
Moving to Node #0,2,3
Current State: 28:[3, 25], Operations: ['67-64=3', '81-56=25']
Exploring Operation: 3+25=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Exit Sub Search at level 1
| 0.965278 | hs_4 | mult_heuristic |
[
43,
95,
27,
50
] | 94 | [
"50-43=7",
"27*7=189",
"189-95=94"
] | Current State: 94:[43, 95, 27, 50], Operations: []
Exploring Operation: 50-43=7, Resulting Numbers: [95, 27, 7]
Generated Node #2: [95, 27, 7] from Operation: 50-43=7
Current State: 94:[95, 27, 7], Operations: ['50-43=7']
Exploring Operation: 27*7=189, Resulting Numbers: [95, 189]
Generated Node #3: [95, 189] from Operation: 27*7=189
Current State: 94:[95, 189], Operations: ['50-43=7', '27*7=189']
Exploring Operation: 189-95=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[43, 95, 27, 50], Operations: []
Exploring Operation: 43-27=16, Resulting Numbers: [95, 50, 16]
Generated Node #0,0: 94:[95, 50, 16] Operation: 43-27=16
Exploring Operation: 43+50=93, Resulting Numbers: [95, 27, 93]
Generated Node #0,1: 94:[95, 27, 93] Operation: 43+50=93
Start Sub Search at level 1: Moving to Node #0,0
Current State: 94:[95, 50, 16], Operations: ['43-27=16']
Exploring Operation: 50-16=34, Resulting Numbers: [95, 34]
Generated Node #0,0,0: 94:[95, 34] Operation: 50-16=34
Exploring Operation: 95-50=45, Resulting Numbers: [16, 45]
Generated Node #0,0,1: 94:[16, 45] Operation: 95-50=45
Moving to Node #0,0,0
Current State: 94:[95, 34], Operations: ['43-27=16', '50-16=34']
Exploring Operation: 95+34=129, Resulting Numbers: [129]
129,94 unequal: No Solution
Exploring Operation: 95-34=61, Resulting Numbers: [61]
61,94 unequal: No Solution
Moving to Node #0,0,1
Current State: 94:[16, 45], Operations: ['43-27=16', '95-50=45']
Exploring Operation: 45-16=29, Resulting Numbers: [29]
29,94 unequal: No Solution
Exploring Operation: 16+45=61, Resulting Numbers: [61]
61,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 94:[95, 27, 93], Operations: ['43+50=93']
Exploring Operation: 93-27=66, Resulting Numbers: [95, 66]
Generated Node #0,1,0: 94:[95, 66] Operation: 93-27=66
Exploring Operation: 95-93=2, Resulting Numbers: [27, 2]
Generated Node #0,1,1: 94:[27, 2] Operation: 95-93=2
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 94:[95, 66], Operations: ['43+50=93', '93-27=66']
Exploring Operation: 95-66=29, Resulting Numbers: [29]
29,94 unequal: No Solution
Exploring Operation: 95+66=161, Resulting Numbers: [161]
161,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 94:[27, 2], Operations: ['43+50=93', '95-93=2']
Exploring Operation: 27+2=29, Resulting Numbers: [29]
29,94 unequal: No Solution
Exploring Operation: 27*2=54, Resulting Numbers: [54]
54,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
84,
53,
20,
83
] | 94 | [
"84-53=31",
"83-20=63",
"31+63=94"
] | Current State: 94:[84, 53, 20, 83], Operations: []
Exploring Operation: 84-53=31, Resulting Numbers: [20, 83, 31]
Generated Node #2: [20, 83, 31] from Operation: 84-53=31
Current State: 94:[20, 83, 31], Operations: ['84-53=31']
Exploring Operation: 83-20=63, Resulting Numbers: [31, 63]
Generated Node #3: [31, 63] from Operation: 83-20=63
Current State: 94:[31, 63], Operations: ['84-53=31', '83-20=63']
Exploring Operation: 31+63=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[84, 53, 20, 83], Operations: []
Exploring Operation: 84-83=1, Resulting Numbers: [53, 20, 1]
Generated Node #0,0: 94:[53, 20, 1] Operation: 84-83=1
Exploring Operation: 83-20=63, Resulting Numbers: [84, 53, 63]
Generated Node #0,1: 94:[84, 53, 63] Operation: 83-20=63
Exploring Operation: 20+83=103, Resulting Numbers: [84, 53, 103]
Generated Node #0,2: 94:[84, 53, 103] Operation: 20+83=103
Exploring Operation: 84-20=64, Resulting Numbers: [53, 83, 64]
Generated Node #0,3: 94:[53, 83, 64] Operation: 84-20=64
Exploring Operation: 84+20=104, Resulting Numbers: [53, 83, 104]
Generated Node #0,4: 94:[53, 83, 104] Operation: 84+20=104
Start Sub Search at level 1: Moving to Node #0,0
Current State: 94:[53, 20, 1], Operations: ['84-83=1']
Exploring Operation: 53-20=33, Resulting Numbers: [1, 33]
Generated Node #0,0,0: 94:[1, 33] Operation: 53-20=33
Exploring Operation: 20-1=19, Resulting Numbers: [53, 19]
Generated Node #0,0,1: 94:[53, 19] Operation: 20-1=19
Exploring Operation: 53+20=73, Resulting Numbers: [1, 73]
Generated Node #0,0,2: 94:[1, 73] Operation: 53+20=73
Exploring Operation: 53*1=53, Resulting Numbers: [20, 53]
Generated Node #0,0,3: 94:[20, 53] Operation: 53*1=53
Exploring Operation: 53-1=52, Resulting Numbers: [20, 52]
Generated Node #0,0,4: 94:[20, 52] Operation: 53-1=52
Moving to Node #0,0,0
Current State: 94:[1, 33], Operations: ['84-83=1', '53-20=33']
Exploring Operation: 33-1=32, Resulting Numbers: [32]
32,94 unequal: No Solution
Exploring Operation: 33/1=33, Resulting Numbers: [33]
33,94 unequal: No Solution
Exploring Operation: 1*33=33, Resulting Numbers: [33]
33,94 unequal: No Solution
Exploring Operation: 1+33=34, Resulting Numbers: [34]
34,94 unequal: No Solution
Moving to Node #0,0,2
Current State: 94:[1, 73], Operations: ['84-83=1', '53+20=73']
Exploring Operation: 73-1=72, Resulting Numbers: [72]
72,94 unequal: No Solution
Exploring Operation: 1*73=73, Resulting Numbers: [73]
73,94 unequal: No Solution
Exploring Operation: 1+73=74, Resulting Numbers: [74]
74,94 unequal: No Solution
Exploring Operation: 73/1=73, Resulting Numbers: [73]
73,94 unequal: No Solution
Moving to Node #0,0,1
Current State: 94:[53, 19], Operations: ['84-83=1', '20-1=19']
Exploring Operation: 53+19=72, Resulting Numbers: [72]
72,94 unequal: No Solution
Exploring Operation: 53-19=34, Resulting Numbers: [34]
34,94 unequal: No Solution
Exploring Operation: 53*19=1007, Resulting Numbers: [1007]
1007,94 unequal: No Solution
Moving to Node #0,0,4
Current State: 94:[20, 52], Operations: ['84-83=1', '53-1=52']
Exploring Operation: 20+52=72, Resulting Numbers: [72]
72,94 unequal: No Solution
Exploring Operation: 20*52=1040, Resulting Numbers: [1040]
1040,94 unequal: No Solution
Exploring Operation: 52-20=32, Resulting Numbers: [32]
32,94 unequal: No Solution
Moving to Node #0,0,3
Current State: 94:[20, 53], Operations: ['84-83=1', '53*1=53']
Exploring Operation: 53-20=33, Resulting Numbers: [33]
33,94 unequal: No Solution
Exploring Operation: 20+53=73, Resulting Numbers: [73]
73,94 unequal: No Solution
Exploring Operation: 20*53=1060, Resulting Numbers: [1060]
1060,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 94:[84, 53, 103], Operations: ['20+83=103']
Exploring Operation: 84-53=31, Resulting Numbers: [103, 31]
Generated Node #0,2,0: 94:[103, 31] Operation: 84-53=31
Exploring Operation: 103-84=19, Resulting Numbers: [53, 19]
Generated Node #0,2,1: 94:[53, 19] Operation: 103-84=19
Exploring Operation: 53+103=156, Resulting Numbers: [84, 156]
Generated Node #0,2,2: 94:[84, 156] Operation: 53+103=156
Exploring Operation: 84+53=137, Resulting Numbers: [103, 137]
Generated Node #0,2,3: 94:[103, 137] Operation: 84+53=137
Exploring Operation: 103-53=50, Resulting Numbers: [84, 50]
Generated Node #0,2,4: 94:[84, 50] Operation: 103-53=50
Moving to Node #0,2,4
Current State: 94:[84, 50], Operations: ['20+83=103', '103-53=50']
Exploring Operation: 84-50=34, Resulting Numbers: [34]
34,94 unequal: No Solution
Exploring Operation: 84+50=134, Resulting Numbers: [134]
134,94 unequal: No Solution
Exploring Operation: 84*50=4200, Resulting Numbers: [4200]
4200,94 unequal: No Solution
Moving to Node #0,2,1
Current State: 94:[53, 19], Operations: ['20+83=103', '103-84=19']
Exploring Operation: 53*19=1007, Resulting Numbers: [1007]
1007,94 unequal: No Solution
Exploring Operation: 53-19=34, Resulting Numbers: [34]
34,94 unequal: No Solution
Exploring Operation: 53+19=72, Resulting Numbers: [72]
72,94 unequal: No Solution
Moving to Node #0,2,0
Current State: 94:[103, 31], Operations: ['20+83=103', '84-53=31']
Exploring Operation: 103-31=72, Resulting Numbers: [72]
72,94 unequal: No Solution
Exploring Operation: 103*31=3193, Resulting Numbers: [3193]
3193,94 unequal: No Solution
Exploring Operation: 103+31=134, Resulting Numbers: [134]
134,94 unequal: No Solution
Moving to Node #0,2,3
Current State: 94:[103, 137], Operations: ['20+83=103', '84+53=137']
Exploring Operation: 103+137=240, Resulting Numbers: [240]
240,94 unequal: No Solution
Exploring Operation: 103*137=14111, Resulting Numbers: [14111]
14111,94 unequal: No Solution
Exploring Operation: 137-103=34, Resulting Numbers: [34]
34,94 unequal: No Solution
Moving to Node #0,2,2
Current State: 94:[84, 156], Operations: ['20+83=103', '53+103=156']
Exploring Operation: 156-84=72, Resulting Numbers: [72]
72,94 unequal: No Solution
Exploring Operation: 84*156=13104, Resulting Numbers: [13104]
13104,94 unequal: No Solution
Exploring Operation: 84+156=240, Resulting Numbers: [240]
240,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 94:[53, 83, 104], Operations: ['84+20=104']
Exploring Operation: 53+83=136, Resulting Numbers: [104, 136]
Generated Node #0,4,0: 94:[104, 136] Operation: 53+83=136
Exploring Operation: 104-53=51, Resulting Numbers: [83, 51]
Generated Node #0,4,1: 94:[83, 51] Operation: 104-53=51
Exploring Operation: 53+104=157, Resulting Numbers: [83, 157]
Generated Node #0,4,2: 94:[83, 157] Operation: 53+104=157
Exploring Operation: 83-53=30, Resulting Numbers: [104, 30]
Generated Node #0,4,3: 94:[104, 30] Operation: 83-53=30
Exploring Operation: 104-83=21, Resulting Numbers: [53, 21]
Generated Node #0,4,4: 94:[53, 21] Operation: 104-83=21
Moving to Node #0,4,1
Current State: 94:[83, 51], Operations: ['84+20=104', '104-53=51']
Exploring Operation: 83+51=134, Resulting Numbers: [134]
134,94 unequal: No Solution
Exploring Operation: 83*51=4233, Resulting Numbers: [4233]
4233,94 unequal: No Solution
Exploring Operation: 83-51=32, Resulting Numbers: [32]
32,94 unequal: No Solution
Moving to Node #0,4,4
Current State: 94:[53, 21], Operations: ['84+20=104', '104-83=21']
Exploring Operation: 53*21=1113, Resulting Numbers: [1113]
1113,94 unequal: No Solution
Exploring Operation: 53-21=32, Resulting Numbers: [32]
32,94 unequal: No Solution
Exploring Operation: 53+21=74, Resulting Numbers: [74]
74,94 unequal: No Solution
Moving to Node #0,4,3
Current State: 94:[104, 30], Operations: ['84+20=104', '83-53=30']
Exploring Operation: 104*30=3120, Resulting Numbers: [3120]
3120,94 unequal: No Solution
Exploring Operation: 104+30=134, Resulting Numbers: [134]
134,94 unequal: No Solution
Exploring Operation: 104-30=74, Resulting Numbers: [74]
74,94 unequal: No Solution
Moving to Node #0,4,0
Current State: 94:[104, 136], Operations: ['84+20=104', '53+83=136']
Exploring Operation: 136-104=32, Resulting Numbers: [32]
32,94 unequal: No Solution
Exploring Operation: 104+136=240, Resulting Numbers: [240]
240,94 unequal: No Solution
Exploring Operation: 104*136=14144, Resulting Numbers: [14144]
14144,94 unequal: No Solution
Moving to Node #0,4,2
Current State: 94:[83, 157], Operations: ['84+20=104', '53+104=157']
Exploring Operation: 157-83=74, Resulting Numbers: [74]
74,94 unequal: No Solution
Exploring Operation: 83+157=240, Resulting Numbers: [240]
240,94 unequal: No Solution
Exploring Operation: 83*157=13031, Resulting Numbers: [13031]
13031,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 94:[84, 53, 63], Operations: ['83-20=63']
Exploring Operation: 84-53=31, Resulting Numbers: [63, 31]
Generated Node #0,1,0: 94:[63, 31] Operation: 84-53=31
Exploring Operation: 84+53=137, Resulting Numbers: [63, 137]
Generated Node #0,1,1: 94:[63, 137] Operation: 84+53=137
Exploring Operation: 63-53=10, Resulting Numbers: [84, 10]
Generated Node #0,1,2: 94:[84, 10] Operation: 63-53=10
Exploring Operation: 84-63=21, Resulting Numbers: [53, 21]
Generated Node #0,1,3: 94:[53, 21] Operation: 84-63=21
Exploring Operation: 53+63=116, Resulting Numbers: [84, 116]
Generated Node #0,1,4: 94:[84, 116] Operation: 53+63=116
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 94:[84, 10], Operations: ['83-20=63', '63-53=10']
Exploring Operation: 84*10=840, Resulting Numbers: [840]
840,94 unequal: No Solution
Exploring Operation: 84-10=74, Resulting Numbers: [74]
74,94 unequal: No Solution
Exploring Operation: 84+10=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Moving to Node #0
Current State: 94:[84, 53, 20, 83], Operations: []
Exploring Operation: 83-20=63, Resulting Numbers: [84, 53, 63]
Generated Node #0,1: 94:[84, 53, 63] Operation: 83-20=63
Moving to Node #0,1
Current State: 94:[84, 53, 63], Operations: ['83-20=63']
Exploring Operation: 63-53=10, Resulting Numbers: [84, 10]
Generated Node #0,1,2: 94:[84, 10] Operation: 63-53=10
Moving to Node #0,1,2
Current State: 94:[84, 10], Operations: ['83-20=63', '63-53=10']
Exploring Operation: 84+10=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.931424 | hs_5 | mult_heuristic |
[
8,
47,
68,
6
] | 68 | [
"8*6=48",
"48-47=1",
"68*1=68"
] | Current State: 68:[8, 47, 68, 6], Operations: []
Exploring Operation: 8*6=48, Resulting Numbers: [47, 68, 48]
Generated Node #2: [47, 68, 48] from Operation: 8*6=48
Current State: 68:[47, 68, 48], Operations: ['8*6=48']
Exploring Operation: 48-47=1, Resulting Numbers: [68, 1]
Generated Node #3: [68, 1] from Operation: 48-47=1
Current State: 68:[68, 1], Operations: ['8*6=48', '48-47=1']
Exploring Operation: 68*1=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[8, 47, 68, 6], Operations: []
Exploring Operation: 47-8=39, Resulting Numbers: [68, 6, 39]
Generated Node #0,0: 68:[68, 6, 39] Operation: 47-8=39
Exploring Operation: 68-47=21, Resulting Numbers: [8, 6, 21]
Generated Node #0,1: 68:[8, 6, 21] Operation: 68-47=21
Exploring Operation: 47-6=41, Resulting Numbers: [8, 68, 41]
Generated Node #0,2: 68:[8, 68, 41] Operation: 47-6=41
Start Sub Search at level 1: Moving to Node #0,0
Current State: 68:[68, 6, 39], Operations: ['47-8=39']
Exploring Operation: 68-39=29, Resulting Numbers: [6, 29]
Generated Node #0,0,0: 68:[6, 29] Operation: 68-39=29
Exploring Operation: 39-6=33, Resulting Numbers: [68, 33]
Generated Node #0,0,1: 68:[68, 33] Operation: 39-6=33
Exploring Operation: 68+6=74, Resulting Numbers: [39, 74]
Generated Node #0,0,2: 68:[39, 74] Operation: 68+6=74
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 68:[68, 33], Operations: ['47-8=39', '39-6=33']
Exploring Operation: 68-33=35, Resulting Numbers: [35]
35,68 unequal: No Solution
Exploring Operation: 68*33=2244, Resulting Numbers: [2244]
2244,68 unequal: No Solution
Exploring Operation: 68+33=101, Resulting Numbers: [101]
101,68 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 68:[6, 29], Operations: ['47-8=39', '68-39=29']
Exploring Operation: 6+29=35, Resulting Numbers: [35]
35,68 unequal: No Solution
Exploring Operation: 29-6=23, Resulting Numbers: [23]
23,68 unequal: No Solution
Exploring Operation: 6*29=174, Resulting Numbers: [174]
174,68 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 68:[39, 74], Operations: ['47-8=39', '68+6=74']
Exploring Operation: 74-39=35, Resulting Numbers: [35]
35,68 unequal: No Solution
Exploring Operation: 39*74=2886, Resulting Numbers: [2886]
2886,68 unequal: No Solution
Exploring Operation: 39+74=113, Resulting Numbers: [113]
113,68 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 68:[8, 6, 21], Operations: ['68-47=21']
Exploring Operation: 8-6=2, Resulting Numbers: [21, 2]
Generated Node #0,1,0: 68:[21, 2] Operation: 8-6=2
Exploring Operation: 21-8=13, Resulting Numbers: [6, 13]
Generated Node #0,1,1: 68:[6, 13] Operation: 21-8=13
Exploring Operation: 21-6=15, Resulting Numbers: [8, 15]
Generated Node #0,1,2: 68:[8, 15] Operation: 21-6=15
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 68:[21, 2], Operations: ['68-47=21', '8-6=2']
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,68 unequal: No Solution
Exploring Operation: 21*2=42, Resulting Numbers: [42]
42,68 unequal: No Solution
Exploring Operation: 21+2=23, Resulting Numbers: [23]
23,68 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 68:[6, 13], Operations: ['68-47=21', '21-8=13']
Exploring Operation: 13-6=7, Resulting Numbers: [7]
7,68 unequal: No Solution
Exploring Operation: 6+13=19, Resulting Numbers: [19]
19,68 unequal: No Solution
Exploring Operation: 6*13=78, Resulting Numbers: [78]
78,68 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 68:[8, 15], Operations: ['68-47=21', '21-6=15']
Exploring Operation: 8+15=23, Resulting Numbers: [23]
23,68 unequal: No Solution
Exploring Operation: 8*15=120, Resulting Numbers: [120]
120,68 unequal: No Solution
Exploring Operation: 15-8=7, Resulting Numbers: [7]
7,68 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 68:[8, 68, 41], Operations: ['47-6=41']
Exploring Operation: 41-8=33, Resulting Numbers: [68, 33]
Generated Node #0,2,0: 68:[68, 33] Operation: 41-8=33
Exploring Operation: 68-41=27, Resulting Numbers: [8, 27]
Generated Node #0,2,1: 68:[8, 27] Operation: 68-41=27
Exploring Operation: 8+68=76, Resulting Numbers: [41, 76]
Generated Node #0,2,2: 68:[41, 76] Operation: 8+68=76
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 68:[68, 33], Operations: ['47-6=41', '41-8=33']
Exploring Operation: 68+33=101, Resulting Numbers: [101]
101,68 unequal: No Solution
Exploring Operation: 68-33=35, Resulting Numbers: [35]
35,68 unequal: No Solution
Exploring Operation: 68*33=2244, Resulting Numbers: [2244]
2244,68 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 68:[8, 27], Operations: ['47-6=41', '68-41=27']
Exploring Operation: 27-8=19, Resulting Numbers: [19]
19,68 unequal: No Solution
Exploring Operation: 8*27=216, Resulting Numbers: [216]
216,68 unequal: No Solution
Exploring Operation: 8+27=35, Resulting Numbers: [35]
35,68 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 68:[41, 76], Operations: ['47-6=41', '8+68=76']
Exploring Operation: 41+76=117, Resulting Numbers: [117]
117,68 unequal: No Solution
Exploring Operation: 76-41=35, Resulting Numbers: [35]
35,68 unequal: No Solution
Exploring Operation: 41*76=3116, Resulting Numbers: [3116]
3116,68 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
19,
79,
57,
36
] | 77 | [
"19+79=98",
"57-36=21",
"98-21=77"
] | Current State: 77:[19, 79, 57, 36], Operations: []
Exploring Operation: 19+79=98, Resulting Numbers: [57, 36, 98]
Generated Node #2: [57, 36, 98] from Operation: 19+79=98
Current State: 77:[57, 36, 98], Operations: ['19+79=98']
Exploring Operation: 57-36=21, Resulting Numbers: [98, 21]
Generated Node #3: [98, 21] from Operation: 57-36=21
Current State: 77:[98, 21], Operations: ['19+79=98', '57-36=21']
Exploring Operation: 98-21=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[19, 79, 57, 36], Operations: []
Exploring Operation: 19+57=76, Resulting Numbers: [79, 36, 76]
Generated Node #0,0: 77:[79, 36, 76] Operation: 19+57=76
Exploring Operation: 57+36=93, Resulting Numbers: [19, 79, 93]
Generated Node #0,1: 77:[19, 79, 93] Operation: 57+36=93
Exploring Operation: 36-19=17, Resulting Numbers: [79, 57, 17]
Generated Node #0,2: 77:[79, 57, 17] Operation: 36-19=17
Exploring Operation: 57-36=21, Resulting Numbers: [19, 79, 21]
Generated Node #0,3: 77:[19, 79, 21] Operation: 57-36=21
Exploring Operation: 57/19=3, Resulting Numbers: [79, 36, 3]
Generated Node #0,4: 77:[79, 36, 3] Operation: 57/19=3
Moving to Node #0,3
Current State: 77:[19, 79, 21], Operations: ['57-36=21']
Exploring Operation: 21-19=2, Resulting Numbers: [79, 2]
Generated Node #0,3,0: 77:[79, 2] Operation: 21-19=2
Exploring Operation: 79-21=58, Resulting Numbers: [19, 58]
Generated Node #0,3,1: 77:[19, 58] Operation: 79-21=58
Exploring Operation: 19+79=98, Resulting Numbers: [21, 98]
Generated Node #0,3,2: 77:[21, 98] Operation: 19+79=98
Exploring Operation: 19+21=40, Resulting Numbers: [79, 40]
Generated Node #0,3,3: 77:[79, 40] Operation: 19+21=40
Exploring Operation: 79-19=60, Resulting Numbers: [21, 60]
Generated Node #0,3,4: 77:[21, 60] Operation: 79-19=60
Moving to Node #0,1
Current State: 77:[19, 79, 93], Operations: ['57+36=93']
Exploring Operation: 93-79=14, Resulting Numbers: [19, 14]
Generated Node #0,1,0: 77:[19, 14] Operation: 93-79=14
Exploring Operation: 19+93=112, Resulting Numbers: [79, 112]
Generated Node #0,1,1: 77:[79, 112] Operation: 19+93=112
Exploring Operation: 93-19=74, Resulting Numbers: [79, 74]
Generated Node #0,1,2: 77:[79, 74] Operation: 93-19=74
Exploring Operation: 19+79=98, Resulting Numbers: [93, 98]
Generated Node #0,1,3: 77:[93, 98] Operation: 19+79=98
Exploring Operation: 79-19=60, Resulting Numbers: [93, 60]
Generated Node #0,1,4: 77:[93, 60] Operation: 79-19=60
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 77:[79, 74], Operations: ['57+36=93', '93-19=74']
Exploring Operation: 79+74=153, Resulting Numbers: [153]
153,77 unequal: No Solution
Exploring Operation: 79*74=5846, Resulting Numbers: [5846]
5846,77 unequal: No Solution
Exploring Operation: 79-74=5, Resulting Numbers: [5]
5,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 77:[19, 14], Operations: ['57+36=93', '93-79=14']
Exploring Operation: 19-14=5, Resulting Numbers: [5]
5,77 unequal: No Solution
Exploring Operation: 19+14=33, Resulting Numbers: [33]
33,77 unequal: No Solution
Exploring Operation: 19*14=266, Resulting Numbers: [266]
266,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 77:[93, 60], Operations: ['57+36=93', '79-19=60']
Exploring Operation: 93+60=153, Resulting Numbers: [153]
153,77 unequal: No Solution
Exploring Operation: 93-60=33, Resulting Numbers: [33]
33,77 unequal: No Solution
Exploring Operation: 93*60=5580, Resulting Numbers: [5580]
5580,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 77:[79, 112], Operations: ['57+36=93', '19+93=112']
Exploring Operation: 79+112=191, Resulting Numbers: [191]
191,77 unequal: No Solution
Exploring Operation: 79*112=8848, Resulting Numbers: [8848]
8848,77 unequal: No Solution
Exploring Operation: 112-79=33, Resulting Numbers: [33]
33,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 77:[93, 98], Operations: ['57+36=93', '19+79=98']
Exploring Operation: 98-93=5, Resulting Numbers: [5]
5,77 unequal: No Solution
Exploring Operation: 93+98=191, Resulting Numbers: [191]
191,77 unequal: No Solution
Exploring Operation: 93*98=9114, Resulting Numbers: [9114]
9114,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 77:[79, 36, 76], Operations: ['19+57=76']
Exploring Operation: 79+36=115, Resulting Numbers: [76, 115]
Generated Node #0,0,0: 77:[76, 115] Operation: 79+36=115
Exploring Operation: 79-76=3, Resulting Numbers: [36, 3]
Generated Node #0,0,1: 77:[36, 3] Operation: 79-76=3
Exploring Operation: 79-36=43, Resulting Numbers: [76, 43]
Generated Node #0,0,2: 77:[76, 43] Operation: 79-36=43
Exploring Operation: 36+76=112, Resulting Numbers: [79, 112]
Generated Node #0,0,3: 77:[79, 112] Operation: 36+76=112
Exploring Operation: 76-36=40, Resulting Numbers: [79, 40]
Generated Node #0,0,4: 77:[79, 40] Operation: 76-36=40
Moving to Node #0,2
Current State: 77:[79, 57, 17], Operations: ['36-19=17']
Exploring Operation: 79-17=62, Resulting Numbers: [57, 62]
Generated Node #0,2,0: 77:[57, 62] Operation: 79-17=62
Exploring Operation: 79+17=96, Resulting Numbers: [57, 96]
Generated Node #0,2,1: 77:[57, 96] Operation: 79+17=96
Exploring Operation: 57+17=74, Resulting Numbers: [79, 74]
Generated Node #0,2,2: 77:[79, 74] Operation: 57+17=74
Exploring Operation: 57-17=40, Resulting Numbers: [79, 40]
Generated Node #0,2,3: 77:[79, 40] Operation: 57-17=40
Exploring Operation: 79-57=22, Resulting Numbers: [17, 22]
Generated Node #0,2,4: 77:[17, 22] Operation: 79-57=22
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 77:[79, 74], Operations: ['36-19=17', '57+17=74']
Exploring Operation: 79-74=5, Resulting Numbers: [5]
5,77 unequal: No Solution
Exploring Operation: 79+74=153, Resulting Numbers: [153]
153,77 unequal: No Solution
Exploring Operation: 79*74=5846, Resulting Numbers: [5846]
5846,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 77:[17, 22], Operations: ['36-19=17', '79-57=22']
Exploring Operation: 22-17=5, Resulting Numbers: [5]
5,77 unequal: No Solution
Exploring Operation: 17+22=39, Resulting Numbers: [39]
39,77 unequal: No Solution
Exploring Operation: 17*22=374, Resulting Numbers: [374]
374,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 77:[79, 40], Operations: ['36-19=17', '57-17=40']
Exploring Operation: 79*40=3160, Resulting Numbers: [3160]
3160,77 unequal: No Solution
Exploring Operation: 79-40=39, Resulting Numbers: [39]
39,77 unequal: No Solution
Exploring Operation: 79+40=119, Resulting Numbers: [119]
119,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 77:[57, 62], Operations: ['36-19=17', '79-17=62']
Exploring Operation: 62-57=5, Resulting Numbers: [5]
5,77 unequal: No Solution
Exploring Operation: 57+62=119, Resulting Numbers: [119]
119,77 unequal: No Solution
Exploring Operation: 57*62=3534, Resulting Numbers: [3534]
3534,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 77:[57, 96], Operations: ['36-19=17', '79+17=96']
Exploring Operation: 57+96=153, Resulting Numbers: [153]
153,77 unequal: No Solution
Exploring Operation: 57*96=5472, Resulting Numbers: [5472]
5472,77 unequal: No Solution
Exploring Operation: 96-57=39, Resulting Numbers: [39]
39,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4
Current State: 77:[79, 36, 3], Operations: ['57/19=3']
Exploring Operation: 36/3=12, Resulting Numbers: [79, 12]
Generated Node #0,4,0: 77:[79, 12] Operation: 36/3=12
Exploring Operation: 36+3=39, Resulting Numbers: [79, 39]
Generated Node #0,4,1: 77:[79, 39] Operation: 36+3=39
Exploring Operation: 79-3=76, Resulting Numbers: [36, 76]
Generated Node #0,4,2: 77:[36, 76] Operation: 79-3=76
Exploring Operation: 79+3=82, Resulting Numbers: [36, 82]
Generated Node #0,4,3: 77:[36, 82] Operation: 79+3=82
Exploring Operation: 36-3=33, Resulting Numbers: [79, 33]
Generated Node #0,4,4: 77:[79, 33] Operation: 36-3=33
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 77:[79, 12], Operations: ['57/19=3', '36/3=12']
Exploring Operation: 79-12=67, Resulting Numbers: [67]
67,77 unequal: No Solution
Exploring Operation: 79+12=91, Resulting Numbers: [91]
91,77 unequal: No Solution
Exploring Operation: 79*12=948, Resulting Numbers: [948]
948,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 77:[79, 33], Operations: ['57/19=3', '36-3=33']
Exploring Operation: 79-33=46, Resulting Numbers: [46]
46,77 unequal: No Solution
Exploring Operation: 79+33=112, Resulting Numbers: [112]
112,77 unequal: No Solution
Exploring Operation: 79*33=2607, Resulting Numbers: [2607]
2607,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 77:[36, 76], Operations: ['57/19=3', '79-3=76']
Exploring Operation: 76-36=40, Resulting Numbers: [40]
40,77 unequal: No Solution
Exploring Operation: 36+76=112, Resulting Numbers: [112]
112,77 unequal: No Solution
Exploring Operation: 36*76=2736, Resulting Numbers: [2736]
2736,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 77:[79, 39], Operations: ['57/19=3', '36+3=39']
Exploring Operation: 79*39=3081, Resulting Numbers: [3081]
3081,77 unequal: No Solution
Exploring Operation: 79-39=40, Resulting Numbers: [40]
40,77 unequal: No Solution
Exploring Operation: 79+39=118, Resulting Numbers: [118]
118,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 77:[36, 82], Operations: ['57/19=3', '79+3=82']
Exploring Operation: 36*82=2952, Resulting Numbers: [2952]
2952,77 unequal: No Solution
Exploring Operation: 82-36=46, Resulting Numbers: [46]
46,77 unequal: No Solution
Exploring Operation: 36+82=118, Resulting Numbers: [118]
118,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,0
Current State: 77:[79, 2], Operations: ['57-36=21', '21-19=2']
Exploring Operation: 79*2=158, Resulting Numbers: [158]
158,77 unequal: No Solution
Exploring Operation: 79+2=81, Resulting Numbers: [81]
81,77 unequal: No Solution
Exploring Operation: 79-2=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Moving to Node #0
Current State: 77:[19, 79, 57, 36], Operations: []
Exploring Operation: 57-36=21, Resulting Numbers: [19, 79, 21]
Generated Node #0,3: 77:[19, 79, 21] Operation: 57-36=21
Moving to Node #0,3
Current State: 77:[19, 79, 21], Operations: ['57-36=21']
Exploring Operation: 21-19=2, Resulting Numbers: [79, 2]
Generated Node #0,3,0: 77:[79, 2] Operation: 21-19=2
Moving to Node #0,3,0
Current State: 77:[79, 2], Operations: ['57-36=21', '21-19=2']
Exploring Operation: 79-2=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 0.928819 | hs_5 | mult_heuristic |
[
49,
18,
4,
45
] | 28 | [
"49+18=67",
"45+67=112",
"112/4=28"
] | Current State: 28:[49, 18, 4, 45], Operations: []
Exploring Operation: 49+18=67, Resulting Numbers: [4, 45, 67]
Generated Node #2: [4, 45, 67] from Operation: 49+18=67
Current State: 28:[4, 45, 67], Operations: ['49+18=67']
Exploring Operation: 45+67=112, Resulting Numbers: [4, 112]
Generated Node #3: [4, 112] from Operation: 45+67=112
Current State: 28:[4, 112], Operations: ['49+18=67', '45+67=112']
Exploring Operation: 112/4=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[49, 18, 4, 45], Operations: []
Exploring Operation: 49-18=31, Resulting Numbers: [4, 45, 31]
Generated Node #0,0: 28:[4, 45, 31] Operation: 49-18=31
Exploring Operation: 49-45=4, Resulting Numbers: [18, 4, 4]
Generated Node #0,1: 28:[18, 4, 4] Operation: 49-45=4
Moving to Node #0,1
Current State: 28:[18, 4, 4], Operations: ['49-45=4']
Exploring Operation: 18-4=14, Resulting Numbers: [4, 14]
Generated Node #0,1,0: 28:[4, 14] Operation: 18-4=14
Exploring Operation: 18-4=14, Resulting Numbers: [4, 14]
Generated Node #0,1,1: 28:[4, 14] Operation: 18-4=14
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 28:[4, 14], Operations: ['49-45=4', '18-4=14']
Exploring Operation: 4+14=18, Resulting Numbers: [18]
18,28 unequal: No Solution
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 28:[4, 14], Operations: ['49-45=4', '18-4=14']
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,28 unequal: No Solution
Exploring Operation: 4+14=18, Resulting Numbers: [18]
18,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 28:[4, 45, 31], Operations: ['49-18=31']
Exploring Operation: 45-4=41, Resulting Numbers: [31, 41]
Generated Node #0,0,0: 28:[31, 41] Operation: 45-4=41
Exploring Operation: 45-31=14, Resulting Numbers: [4, 14]
Generated Node #0,0,1: 28:[4, 14] Operation: 45-31=14
Moving to Node #0,0,1
Current State: 28:[4, 14], Operations: ['49-18=31', '45-31=14']
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,28 unequal: No Solution
Exploring Operation: 4+14=18, Resulting Numbers: [18]
18,28 unequal: No Solution
Moving to Node #0,0,0
Current State: 28:[31, 41], Operations: ['49-18=31', '45-4=41']
Exploring Operation: 41-31=10, Resulting Numbers: [10]
10,28 unequal: No Solution
Exploring Operation: 31+41=72, Resulting Numbers: [72]
72,28 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
98,
98,
48,
41
] | 28 | [
"98+98=196",
"48-41=7",
"196/7=28"
] | Current State: 28:[98, 98, 48, 41], Operations: []
Exploring Operation: 98+98=196, Resulting Numbers: [48, 41, 196]
Generated Node #2: [48, 41, 196] from Operation: 98+98=196
Current State: 28:[48, 41, 196], Operations: ['98+98=196']
Exploring Operation: 48-41=7, Resulting Numbers: [196, 7]
Generated Node #3: [196, 7] from Operation: 48-41=7
Current State: 28:[196, 7], Operations: ['98+98=196', '48-41=7']
Exploring Operation: 196/7=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[98, 98, 48, 41], Operations: []
Exploring Operation: 98-98=0, Resulting Numbers: [48, 41, 0]
Generated Node #0,0: 28:[48, 41, 0] Operation: 98-98=0
Exploring Operation: 98-48=50, Resulting Numbers: [98, 41, 50]
Generated Node #0,1: 28:[98, 41, 50] Operation: 98-48=50
Exploring Operation: 98/98=1, Resulting Numbers: [48, 41, 1]
Generated Node #0,2: 28:[48, 41, 1] Operation: 98/98=1
Exploring Operation: 98-48=50, Resulting Numbers: [98, 41, 50]
Generated Node #0,3: 28:[98, 41, 50] Operation: 98-48=50
Moving to Node #0,2
Current State: 28:[48, 41, 1], Operations: ['98/98=1']
Exploring Operation: 48-1=47, Resulting Numbers: [41, 47]
Generated Node #0,2,0: 28:[41, 47] Operation: 48-1=47
Exploring Operation: 41-1=40, Resulting Numbers: [48, 40]
Generated Node #0,2,1: 28:[48, 40] Operation: 41-1=40
Exploring Operation: 48*1=48, Resulting Numbers: [41, 48]
Generated Node #0,2,2: 28:[41, 48] Operation: 48*1=48
Exploring Operation: 48-41=7, Resulting Numbers: [1, 7]
Generated Node #0,2,3: 28:[1, 7] Operation: 48-41=7
Moving to Node #0,0
Current State: 28:[48, 41, 0], Operations: ['98-98=0']
Exploring Operation: 41*0=0, Resulting Numbers: [48, 0]
Generated Node #0,0,0: 28:[48, 0] Operation: 41*0=0
Exploring Operation: 48-41=7, Resulting Numbers: [0, 7]
Generated Node #0,0,1: 28:[0, 7] Operation: 48-41=7
Exploring Operation: 48+0=48, Resulting Numbers: [41, 48]
Generated Node #0,0,2: 28:[41, 48] Operation: 48+0=48
Exploring Operation: 48*0=0, Resulting Numbers: [41, 0]
Generated Node #0,0,3: 28:[41, 0] Operation: 48*0=0
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 28:[0, 7], Operations: ['98-98=0', '48-41=7']
Exploring Operation: 7-0=7, Resulting Numbers: [7]
7,28 unequal: No Solution
Exploring Operation: 0+7=7, Resulting Numbers: [7]
7,28 unequal: No Solution
Exploring Operation: 0*7=0, Resulting Numbers: [0]
0,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 28:[41, 0], Operations: ['98-98=0', '48*0=0']
Exploring Operation: 41-0=41, Resulting Numbers: [41]
41,28 unequal: No Solution
Exploring Operation: 41+0=41, Resulting Numbers: [41]
41,28 unequal: No Solution
Exploring Operation: 41*0=0, Resulting Numbers: [0]
0,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 28:[48, 0], Operations: ['98-98=0', '41*0=0']
Exploring Operation: 48*0=0, Resulting Numbers: [0]
0,28 unequal: No Solution
Exploring Operation: 48+0=48, Resulting Numbers: [48]
48,28 unequal: No Solution
Exploring Operation: 48-0=48, Resulting Numbers: [48]
48,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 28:[41, 48], Operations: ['98-98=0', '48+0=48']
Exploring Operation: 41*48=1968, Resulting Numbers: [1968]
1968,28 unequal: No Solution
Exploring Operation: 41+48=89, Resulting Numbers: [89]
89,28 unequal: No Solution
Exploring Operation: 48-41=7, Resulting Numbers: [7]
7,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 28:[98, 41, 50], Operations: ['98-48=50']
Exploring Operation: 50-41=9, Resulting Numbers: [98, 9]
Generated Node #0,3,0: 28:[98, 9] Operation: 50-41=9
Exploring Operation: 98-50=48, Resulting Numbers: [41, 48]
Generated Node #0,3,1: 28:[41, 48] Operation: 98-50=48
Exploring Operation: 98+41=139, Resulting Numbers: [50, 139]
Generated Node #0,3,2: 28:[50, 139] Operation: 98+41=139
Exploring Operation: 98-41=57, Resulting Numbers: [50, 57]
Generated Node #0,3,3: 28:[50, 57] Operation: 98-41=57
Moving to Node #0,1
Current State: 28:[98, 41, 50], Operations: ['98-48=50']
Exploring Operation: 98-50=48, Resulting Numbers: [41, 48]
Generated Node #0,1,0: 28:[41, 48] Operation: 98-50=48
Exploring Operation: 98+41=139, Resulting Numbers: [50, 139]
Generated Node #0,1,1: 28:[50, 139] Operation: 98+41=139
Exploring Operation: 50-41=9, Resulting Numbers: [98, 9]
Generated Node #0,1,2: 28:[98, 9] Operation: 50-41=9
Exploring Operation: 98-41=57, Resulting Numbers: [50, 57]
Generated Node #0,1,3: 28:[50, 57] Operation: 98-41=57
Moving to Node #0,2,3
Current State: 28:[1, 7], Operations: ['98/98=1', '48-41=7']
Exploring Operation: 7-1=6, Resulting Numbers: [6]
6,28 unequal: No Solution
Exploring Operation: 1*7=7, Resulting Numbers: [7]
7,28 unequal: No Solution
Exploring Operation: 1+7=8, Resulting Numbers: [8]
8,28 unequal: No Solution
Exploring Operation: 7/1=7, Resulting Numbers: [7]
7,28 unequal: No Solution
Moving to Node #0,2,1
Current State: 28:[48, 40], Operations: ['98/98=1', '41-1=40']
Exploring Operation: 48+40=88, Resulting Numbers: [88]
88,28 unequal: No Solution
Exploring Operation: 48*40=1920, Resulting Numbers: [1920]
1920,28 unequal: No Solution
Exploring Operation: 48-40=8, Resulting Numbers: [8]
8,28 unequal: No Solution
Moving to Node #0,2,0
Current State: 28:[41, 47], Operations: ['98/98=1', '48-1=47']
Exploring Operation: 47-41=6, Resulting Numbers: [6]
6,28 unequal: No Solution
Exploring Operation: 41*47=1927, Resulting Numbers: [1927]
1927,28 unequal: No Solution
Exploring Operation: 41+47=88, Resulting Numbers: [88]
88,28 unequal: No Solution
Moving to Node #0,3,1
Current State: 28:[41, 48], Operations: ['98-48=50', '98-50=48']
Exploring Operation: 41+48=89, Resulting Numbers: [89]
89,28 unequal: No Solution
Exploring Operation: 48-41=7, Resulting Numbers: [7]
7,28 unequal: No Solution
Exploring Operation: 41*48=1968, Resulting Numbers: [1968]
1968,28 unequal: No Solution
Moving to Node #0,2,2
Current State: 28:[41, 48], Operations: ['98/98=1', '48*1=48']
Exploring Operation: 41*48=1968, Resulting Numbers: [1968]
1968,28 unequal: No Solution
Exploring Operation: 48-41=7, Resulting Numbers: [7]
7,28 unequal: No Solution
Exploring Operation: 41+48=89, Resulting Numbers: [89]
89,28 unequal: No Solution
Moving to Node #0,1,0
Current State: 28:[41, 48], Operations: ['98-48=50', '98-50=48']
Exploring Operation: 48-41=7, Resulting Numbers: [7]
7,28 unequal: No Solution
Exploring Operation: 41*48=1968, Resulting Numbers: [1968]
1968,28 unequal: No Solution
Exploring Operation: 41+48=89, Resulting Numbers: [89]
89,28 unequal: No Solution
Moving to Node #0,3,3
Current State: 28:[50, 57], Operations: ['98-48=50', '98-41=57']
Exploring Operation: 57-50=7, Resulting Numbers: [7]
7,28 unequal: No Solution
Exploring Operation: 50*57=2850, Resulting Numbers: [2850]
2850,28 unequal: No Solution
Exploring Operation: 50+57=107, Resulting Numbers: [107]
107,28 unequal: No Solution
Moving to Node #0,1,3
Current State: 28:[50, 57], Operations: ['98-48=50', '98-41=57']
Exploring Operation: 50+57=107, Resulting Numbers: [107]
107,28 unequal: No Solution
Exploring Operation: 50*57=2850, Resulting Numbers: [2850]
2850,28 unequal: No Solution
Exploring Operation: 57-50=7, Resulting Numbers: [7]
7,28 unequal: No Solution
Moving to Node #0,3,0
Current State: 28:[98, 9], Operations: ['98-48=50', '50-41=9']
Exploring Operation: 98+9=107, Resulting Numbers: [107]
107,28 unequal: No Solution
Exploring Operation: 98*9=882, Resulting Numbers: [882]
882,28 unequal: No Solution
Exploring Operation: 98-9=89, Resulting Numbers: [89]
89,28 unequal: No Solution
Moving to Node #0,1,2
Current State: 28:[98, 9], Operations: ['98-48=50', '50-41=9']
Exploring Operation: 98*9=882, Resulting Numbers: [882]
882,28 unequal: No Solution
Exploring Operation: 98+9=107, Resulting Numbers: [107]
107,28 unequal: No Solution
Exploring Operation: 98-9=89, Resulting Numbers: [89]
89,28 unequal: No Solution
Moving to Node #0,1,1
Current State: 28:[50, 139], Operations: ['98-48=50', '98+41=139']
Exploring Operation: 50*139=6950, Resulting Numbers: [6950]
6950,28 unequal: No Solution
Exploring Operation: 50+139=189, Resulting Numbers: [189]
189,28 unequal: No Solution
Exploring Operation: 139-50=89, Resulting Numbers: [89]
89,28 unequal: No Solution
Moving to Node #0,3,2
Current State: 28:[50, 139], Operations: ['98-48=50', '98+41=139']
Exploring Operation: 139-50=89, Resulting Numbers: [89]
89,28 unequal: No Solution
Exploring Operation: 50+139=189, Resulting Numbers: [189]
189,28 unequal: No Solution
Exploring Operation: 50*139=6950, Resulting Numbers: [6950]
6950,28 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
46,
35,
72,
78
] | 87 | [
"46+35=81",
"78-72=6",
"81+6=87"
] | Current State: 87:[46, 35, 72, 78], Operations: []
Exploring Operation: 46+35=81, Resulting Numbers: [72, 78, 81]
Generated Node #2: [72, 78, 81] from Operation: 46+35=81
Current State: 87:[72, 78, 81], Operations: ['46+35=81']
Exploring Operation: 78-72=6, Resulting Numbers: [81, 6]
Generated Node #3: [81, 6] from Operation: 78-72=6
Current State: 87:[81, 6], Operations: ['46+35=81', '78-72=6']
Exploring Operation: 81+6=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[46, 35, 72, 78], Operations: []
Exploring Operation: 72-46=26, Resulting Numbers: [35, 78, 26]
Generated Node #0,0: 87:[35, 78, 26] Operation: 72-46=26
Start Sub Search at level 1: Moving to Node #0,0
Current State: 87:[35, 78, 26], Operations: ['72-46=26']
Exploring Operation: 78/26=3, Resulting Numbers: [35, 3]
Generated Node #0,0,0: 87:[35, 3] Operation: 78/26=3
Moving to Node #0,0,0
Current State: 87:[35, 3], Operations: ['72-46=26', '78/26=3']
Exploring Operation: 35-3=32, Resulting Numbers: [32]
32,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
2,
38,
82,
8
] | 14 | [
"2*38=76",
"82+8=90",
"90-76=14"
] | Current State: 14:[2, 38, 82, 8], Operations: []
Exploring Operation: 2*38=76, Resulting Numbers: [82, 8, 76]
Generated Node #2: [82, 8, 76] from Operation: 2*38=76
Current State: 14:[82, 8, 76], Operations: ['2*38=76']
Exploring Operation: 82+8=90, Resulting Numbers: [76, 90]
Generated Node #3: [76, 90] from Operation: 82+8=90
Current State: 14:[76, 90], Operations: ['2*38=76', '82+8=90']
Exploring Operation: 90-76=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[2, 38, 82, 8], Operations: []
Exploring Operation: 82-8=74, Resulting Numbers: [2, 38, 74]
Generated Node #0,0: 14:[2, 38, 74] Operation: 82-8=74
Exploring Operation: 38/2=19, Resulting Numbers: [82, 8, 19]
Generated Node #0,1: 14:[82, 8, 19] Operation: 38/2=19
Exploring Operation: 82-38=44, Resulting Numbers: [2, 8, 44]
Generated Node #0,2: 14:[2, 8, 44] Operation: 82-38=44
Exploring Operation: 38-8=30, Resulting Numbers: [2, 82, 30]
Generated Node #0,3: 14:[2, 82, 30] Operation: 38-8=30
Exploring Operation: 82/2=41, Resulting Numbers: [38, 8, 41]
Generated Node #0,4: 14:[38, 8, 41] Operation: 82/2=41
Start Sub Search at level 1: Moving to Node #0,2
Current State: 14:[2, 8, 44], Operations: ['82-38=44']
Exploring Operation: 2*8=16, Resulting Numbers: [44, 16]
Generated Node #0,2,0: 14:[44, 16] Operation: 2*8=16
Exploring Operation: 8-2=6, Resulting Numbers: [44, 6]
Generated Node #0,2,1: 14:[44, 6] Operation: 8-2=6
Exploring Operation: 44/2=22, Resulting Numbers: [8, 22]
Generated Node #0,2,2: 14:[8, 22] Operation: 44/2=22
Exploring Operation: 44-2=42, Resulting Numbers: [8, 42]
Generated Node #0,2,3: 14:[8, 42] Operation: 44-2=42
Exploring Operation: 44-8=36, Resulting Numbers: [2, 36]
Generated Node #0,2,4: 14:[2, 36] Operation: 44-8=36
Moving to Node #0,2,2
Current State: 14:[8, 22], Operations: ['82-38=44', '44/2=22']
Exploring Operation: 8+22=30, Resulting Numbers: [30]
30,14 unequal: No Solution
Exploring Operation: 22-8=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[2, 38, 82, 8], Operations: []
Exploring Operation: 82-38=44, Resulting Numbers: [2, 8, 44]
Generated Node #0,2: 14:[2, 8, 44] Operation: 82-38=44
Moving to Node #0,2
Current State: 14:[2, 8, 44], Operations: ['82-38=44']
Exploring Operation: 44/2=22, Resulting Numbers: [8, 22]
Generated Node #0,2,2: 14:[8, 22] Operation: 44/2=22
Moving to Node #0,2,2
Current State: 14:[8, 22], Operations: ['82-38=44', '44/2=22']
Exploring Operation: 22-8=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | mult_heuristic |
[
35,
34,
21,
7
] | 72 | [
"35+34=69",
"21/7=3",
"69+3=72"
] | Current State: 72:[35, 34, 21, 7], Operations: []
Exploring Operation: 35+34=69, Resulting Numbers: [21, 7, 69]
Generated Node #2: [21, 7, 69] from Operation: 35+34=69
Current State: 72:[21, 7, 69], Operations: ['35+34=69']
Exploring Operation: 21/7=3, Resulting Numbers: [69, 3]
Generated Node #3: [69, 3] from Operation: 21/7=3
Current State: 72:[69, 3], Operations: ['35+34=69', '21/7=3']
Exploring Operation: 69+3=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[35, 34, 21, 7], Operations: []
Exploring Operation: 35-34=1, Resulting Numbers: [21, 7, 1]
Generated Node #0,0: 72:[21, 7, 1] Operation: 35-34=1
Exploring Operation: 21/7=3, Resulting Numbers: [35, 34, 3]
Generated Node #0,1: 72:[35, 34, 3] Operation: 21/7=3
Exploring Operation: 34-21=13, Resulting Numbers: [35, 7, 13]
Generated Node #0,2: 72:[35, 7, 13] Operation: 34-21=13
Start Sub Search at level 1: Moving to Node #0,1
Current State: 72:[35, 34, 3], Operations: ['21/7=3']
Exploring Operation: 35-34=1, Resulting Numbers: [3, 1]
Generated Node #0,1,0: 72:[3, 1] Operation: 35-34=1
Exploring Operation: 34+3=37, Resulting Numbers: [35, 37]
Generated Node #0,1,1: 72:[35, 37] Operation: 34+3=37
Exploring Operation: 35+34=69, Resulting Numbers: [3, 69]
Generated Node #0,1,2: 72:[3, 69] Operation: 35+34=69
Moving to Node #0,1,0
Current State: 72:[3, 1], Operations: ['21/7=3', '35-34=1']
Exploring Operation: 3*1=3, Resulting Numbers: [3]
3,72 unequal: No Solution
Exploring Operation: 3-1=2, Resulting Numbers: [2]
2,72 unequal: No Solution
Exploring Operation: 3+1=4, Resulting Numbers: [4]
4,72 unequal: No Solution
Moving to Node #0,1,1
Current State: 72:[35, 37], Operations: ['21/7=3', '34+3=37']
Exploring Operation: 35*37=1295, Resulting Numbers: [1295]
1295,72 unequal: No Solution
Exploring Operation: 37-35=2, Resulting Numbers: [2]
2,72 unequal: No Solution
Exploring Operation: 35+37=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Moving to Node #0
Current State: 72:[35, 34, 21, 7], Operations: []
Exploring Operation: 21/7=3, Resulting Numbers: [35, 34, 3]
Generated Node #0,1: 72:[35, 34, 3] Operation: 21/7=3
Moving to Node #0,1
Current State: 72:[35, 34, 3], Operations: ['21/7=3']
Exploring Operation: 34+3=37, Resulting Numbers: [35, 37]
Generated Node #0,1,1: 72:[35, 37] Operation: 34+3=37
Moving to Node #0,1,1
Current State: 72:[35, 37], Operations: ['21/7=3', '34+3=37']
Exploring Operation: 35+37=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_3 | sum_heuristic |
[
36,
91,
79,
17
] | 65 | [
"36+91=127",
"79-17=62",
"127-62=65"
] | Current State: 65:[36, 91, 79, 17], Operations: []
Exploring Operation: 36+91=127, Resulting Numbers: [79, 17, 127]
Generated Node #2: [79, 17, 127] from Operation: 36+91=127
Current State: 65:[79, 17, 127], Operations: ['36+91=127']
Exploring Operation: 79-17=62, Resulting Numbers: [127, 62]
Generated Node #3: [127, 62] from Operation: 79-17=62
Current State: 65:[127, 62], Operations: ['36+91=127', '79-17=62']
Exploring Operation: 127-62=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[36, 91, 79, 17], Operations: []
Exploring Operation: 91-36=55, Resulting Numbers: [79, 17, 55]
Generated Node #0,0: 65:[79, 17, 55] Operation: 91-36=55
Exploring Operation: 79-36=43, Resulting Numbers: [91, 17, 43]
Generated Node #0,1: 65:[91, 17, 43] Operation: 79-36=43
Exploring Operation: 91-17=74, Resulting Numbers: [36, 79, 74]
Generated Node #0,2: 65:[36, 79, 74] Operation: 91-17=74
Exploring Operation: 91-79=12, Resulting Numbers: [36, 17, 12]
Generated Node #0,3: 65:[36, 17, 12] Operation: 91-79=12
Exploring Operation: 36-17=19, Resulting Numbers: [91, 79, 19]
Generated Node #0,4: 65:[91, 79, 19] Operation: 36-17=19
Start Sub Search at level 1: Moving to Node #0,0
Current State: 65:[79, 17, 55], Operations: ['91-36=55']
Exploring Operation: 79-17=62, Resulting Numbers: [55, 62]
Generated Node #0,0,0: 65:[55, 62] Operation: 79-17=62
Exploring Operation: 55-17=38, Resulting Numbers: [79, 38]
Generated Node #0,0,1: 65:[79, 38] Operation: 55-17=38
Exploring Operation: 79+17=96, Resulting Numbers: [55, 96]
Generated Node #0,0,2: 65:[55, 96] Operation: 79+17=96
Exploring Operation: 17+55=72, Resulting Numbers: [79, 72]
Generated Node #0,0,3: 65:[79, 72] Operation: 17+55=72
Exploring Operation: 79-55=24, Resulting Numbers: [17, 24]
Generated Node #0,0,4: 65:[17, 24] Operation: 79-55=24
Moving to Node #0,0,0
Current State: 65:[55, 62], Operations: ['91-36=55', '79-17=62']
Exploring Operation: 62-55=7, Resulting Numbers: [7]
7,65 unequal: No Solution
Exploring Operation: 55+62=117, Resulting Numbers: [117]
117,65 unequal: No Solution
Exploring Operation: 55*62=3410, Resulting Numbers: [3410]
3410,65 unequal: No Solution
Moving to Node #0,0,4
Current State: 65:[17, 24], Operations: ['91-36=55', '79-55=24']
Exploring Operation: 17*24=408, Resulting Numbers: [408]
408,65 unequal: No Solution
Exploring Operation: 24-17=7, Resulting Numbers: [7]
7,65 unequal: No Solution
Exploring Operation: 17+24=41, Resulting Numbers: [41]
41,65 unequal: No Solution
Moving to Node #0,0,3
Current State: 65:[79, 72], Operations: ['91-36=55', '17+55=72']
Exploring Operation: 79-72=7, Resulting Numbers: [7]
7,65 unequal: No Solution
Exploring Operation: 79*72=5688, Resulting Numbers: [5688]
5688,65 unequal: No Solution
Exploring Operation: 79+72=151, Resulting Numbers: [151]
151,65 unequal: No Solution
Moving to Node #0,0,1
Current State: 65:[79, 38], Operations: ['91-36=55', '55-17=38']
Exploring Operation: 79*38=3002, Resulting Numbers: [3002]
3002,65 unequal: No Solution
Exploring Operation: 79-38=41, Resulting Numbers: [41]
41,65 unequal: No Solution
Exploring Operation: 79+38=117, Resulting Numbers: [117]
117,65 unequal: No Solution
Moving to Node #0,0,2
Current State: 65:[55, 96], Operations: ['91-36=55', '79+17=96']
Exploring Operation: 96-55=41, Resulting Numbers: [41]
41,65 unequal: No Solution
Exploring Operation: 55*96=5280, Resulting Numbers: [5280]
5280,65 unequal: No Solution
Exploring Operation: 55+96=151, Resulting Numbers: [151]
151,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 65:[36, 17, 12], Operations: ['91-79=12']
Exploring Operation: 36-17=19, Resulting Numbers: [12, 19]
Generated Node #0,3,0: 65:[12, 19] Operation: 36-17=19
Exploring Operation: 36/12=3, Resulting Numbers: [17, 3]
Generated Node #0,3,1: 65:[17, 3] Operation: 36/12=3
Exploring Operation: 36+17=53, Resulting Numbers: [12, 53]
Generated Node #0,3,2: 65:[12, 53] Operation: 36+17=53
Exploring Operation: 36+12=48, Resulting Numbers: [17, 48]
Generated Node #0,3,3: 65:[17, 48] Operation: 36+12=48
Exploring Operation: 36-12=24, Resulting Numbers: [17, 24]
Generated Node #0,3,4: 65:[17, 24] Operation: 36-12=24
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 65:[17, 3], Operations: ['91-79=12', '36/12=3']
Exploring Operation: 17+3=20, Resulting Numbers: [20]
20,65 unequal: No Solution
Exploring Operation: 17-3=14, Resulting Numbers: [14]
14,65 unequal: No Solution
Exploring Operation: 17*3=51, Resulting Numbers: [51]
51,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 65:[12, 19], Operations: ['91-79=12', '36-17=19']
Exploring Operation: 19-12=7, Resulting Numbers: [7]
7,65 unequal: No Solution
Exploring Operation: 12*19=228, Resulting Numbers: [228]
228,65 unequal: No Solution
Exploring Operation: 12+19=31, Resulting Numbers: [31]
31,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 65:[12, 53], Operations: ['91-79=12', '36+17=53']
Exploring Operation: 12+53=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Moving to Node #0
Current State: 65:[36, 91, 79, 17], Operations: []
Exploring Operation: 91-79=12, Resulting Numbers: [36, 17, 12]
Generated Node #0,3: 65:[36, 17, 12] Operation: 91-79=12
Moving to Node #0,3
Current State: 65:[36, 17, 12], Operations: ['91-79=12']
Exploring Operation: 36+17=53, Resulting Numbers: [12, 53]
Generated Node #0,3,2: 65:[12, 53] Operation: 36+17=53
Moving to Node #0,3,2
Current State: 65:[12, 53], Operations: ['91-79=12', '36+17=53']
Exploring Operation: 12+53=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.96441 | hs_5 | sum_heuristic |
[
24,
10,
40,
51
] | 31 | [
"51-24=27",
"40/10=4",
"27+4=31"
] | Current State: 31:[24, 10, 40, 51], Operations: []
Exploring Operation: 51-24=27, Resulting Numbers: [10, 40, 27]
Generated Node #2: [10, 40, 27] from Operation: 51-24=27
Current State: 31:[10, 40, 27], Operations: ['51-24=27']
Exploring Operation: 40/10=4, Resulting Numbers: [27, 4]
Generated Node #3: [27, 4] from Operation: 40/10=4
Current State: 31:[27, 4], Operations: ['51-24=27', '40/10=4']
Exploring Operation: 27+4=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[24, 10, 40, 51], Operations: []
Exploring Operation: 40-10=30, Resulting Numbers: [24, 51, 30]
Generated Node #0,0: 31:[24, 51, 30] Operation: 40-10=30
Exploring Operation: 51-10=41, Resulting Numbers: [24, 40, 41]
Generated Node #0,1: 31:[24, 40, 41] Operation: 51-10=41
Start Sub Search at level 1: Moving to Node #0,1
Current State: 31:[24, 40, 41], Operations: ['51-10=41']
Exploring Operation: 40-24=16, Resulting Numbers: [41, 16]
Generated Node #0,1,0: 31:[41, 16] Operation: 40-24=16
Exploring Operation: 41-24=17, Resulting Numbers: [40, 17]
Generated Node #0,1,1: 31:[40, 17] Operation: 41-24=17
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 31:[40, 17], Operations: ['51-10=41', '41-24=17']
Exploring Operation: 40+17=57, Resulting Numbers: [57]
57,31 unequal: No Solution
Exploring Operation: 40-17=23, Resulting Numbers: [23]
23,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 31:[41, 16], Operations: ['51-10=41', '40-24=16']
Exploring Operation: 41+16=57, Resulting Numbers: [57]
57,31 unequal: No Solution
Exploring Operation: 41-16=25, Resulting Numbers: [25]
25,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 31:[24, 51, 30], Operations: ['40-10=30']
Exploring Operation: 51-30=21, Resulting Numbers: [24, 21]
Generated Node #0,0,0: 31:[24, 21] Operation: 51-30=21
Exploring Operation: 51-24=27, Resulting Numbers: [30, 27]
Generated Node #0,0,1: 31:[30, 27] Operation: 51-24=27
Moving to Node #0,0,1
Current State: 31:[30, 27], Operations: ['40-10=30', '51-24=27']
Exploring Operation: 30+27=57, Resulting Numbers: [57]
57,31 unequal: No Solution
Exploring Operation: 30-27=3, Resulting Numbers: [3]
3,31 unequal: No Solution
Moving to Node #0,0,0
Current State: 31:[24, 21], Operations: ['40-10=30', '51-30=21']
Exploring Operation: 24+21=45, Resulting Numbers: [45]
45,31 unequal: No Solution
Exploring Operation: 24-21=3, Resulting Numbers: [3]
3,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
92,
88,
69,
20
] | 11 | [
"92-88=4",
"20*4=80",
"80-69=11"
] | Current State: 11:[92, 88, 69, 20], Operations: []
Exploring Operation: 92-88=4, Resulting Numbers: [69, 20, 4]
Generated Node #2: [69, 20, 4] from Operation: 92-88=4
Current State: 11:[69, 20, 4], Operations: ['92-88=4']
Exploring Operation: 20*4=80, Resulting Numbers: [69, 80]
Generated Node #3: [69, 80] from Operation: 20*4=80
Current State: 11:[69, 80], Operations: ['92-88=4', '20*4=80']
Exploring Operation: 80-69=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[92, 88, 69, 20], Operations: []
Exploring Operation: 92-88=4, Resulting Numbers: [69, 20, 4]
Generated Node #0,0: 11:[69, 20, 4] Operation: 92-88=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 11:[69, 20, 4], Operations: ['92-88=4']
Exploring Operation: 69-20=49, Resulting Numbers: [4, 49]
Generated Node #0,0,0: 11:[4, 49] Operation: 69-20=49
Moving to Node #0,0,0
Current State: 11:[4, 49], Operations: ['92-88=4', '69-20=49']
Exploring Operation: 49-4=45, Resulting Numbers: [45]
45,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
65,
23,
5,
58
] | 94 | [
"65/5=13",
"23+58=81",
"13+81=94"
] | Current State: 94:[65, 23, 5, 58], Operations: []
Exploring Operation: 65/5=13, Resulting Numbers: [23, 58, 13]
Generated Node #2: [23, 58, 13] from Operation: 65/5=13
Current State: 94:[23, 58, 13], Operations: ['65/5=13']
Exploring Operation: 23+58=81, Resulting Numbers: [13, 81]
Generated Node #3: [13, 81] from Operation: 23+58=81
Current State: 94:[13, 81], Operations: ['65/5=13', '23+58=81']
Exploring Operation: 13+81=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[65, 23, 5, 58], Operations: []
Exploring Operation: 65-23=42, Resulting Numbers: [5, 58, 42]
Generated Node #0,0: 94:[5, 58, 42] Operation: 65-23=42
Moving to Node #0,0
Current State: 94:[5, 58, 42], Operations: ['65-23=42']
Exploring Operation: 58+42=100, Resulting Numbers: [5, 100]
Generated Node #0,0,0: 94:[5, 100] Operation: 58+42=100
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 94:[5, 100], Operations: ['65-23=42', '58+42=100']
Exploring Operation: 100-5=95, Resulting Numbers: [95]
95,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
46,
57,
13,
49
] | 96 | [
"49-46=3",
"13*3=39",
"57+39=96"
] | Current State: 96:[46, 57, 13, 49], Operations: []
Exploring Operation: 49-46=3, Resulting Numbers: [57, 13, 3]
Generated Node #2: [57, 13, 3] from Operation: 49-46=3
Current State: 96:[57, 13, 3], Operations: ['49-46=3']
Exploring Operation: 13*3=39, Resulting Numbers: [57, 39]
Generated Node #3: [57, 39] from Operation: 13*3=39
Current State: 96:[57, 39], Operations: ['49-46=3', '13*3=39']
Exploring Operation: 57+39=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[46, 57, 13, 49], Operations: []
Exploring Operation: 46+57=103, Resulting Numbers: [13, 49, 103]
Generated Node #0,0: 96:[13, 49, 103] Operation: 46+57=103
Exploring Operation: 57-13=44, Resulting Numbers: [46, 49, 44]
Generated Node #0,1: 96:[46, 49, 44] Operation: 57-13=44
Exploring Operation: 57-46=11, Resulting Numbers: [13, 49, 11]
Generated Node #0,2: 96:[13, 49, 11] Operation: 57-46=11
Exploring Operation: 49-46=3, Resulting Numbers: [57, 13, 3]
Generated Node #0,3: 96:[57, 13, 3] Operation: 49-46=3
Exploring Operation: 57-49=8, Resulting Numbers: [46, 13, 8]
Generated Node #0,4: 96:[46, 13, 8] Operation: 57-49=8
Start Sub Search at level 1: Moving to Node #0,2
Current State: 96:[13, 49, 11], Operations: ['57-46=11']
Exploring Operation: 13+11=24, Resulting Numbers: [49, 24]
Generated Node #0,2,0: 96:[49, 24] Operation: 13+11=24
Exploring Operation: 49-11=38, Resulting Numbers: [13, 38]
Generated Node #0,2,1: 96:[13, 38] Operation: 49-11=38
Exploring Operation: 49-13=36, Resulting Numbers: [11, 36]
Generated Node #0,2,2: 96:[11, 36] Operation: 49-13=36
Exploring Operation: 49+11=60, Resulting Numbers: [13, 60]
Generated Node #0,2,3: 96:[13, 60] Operation: 49+11=60
Exploring Operation: 13-11=2, Resulting Numbers: [49, 2]
Generated Node #0,2,4: 96:[49, 2] Operation: 13-11=2
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 96:[49, 24], Operations: ['57-46=11', '13+11=24']
Exploring Operation: 49+24=73, Resulting Numbers: [73]
73,96 unequal: No Solution
Exploring Operation: 49*24=1176, Resulting Numbers: [1176]
1176,96 unequal: No Solution
Exploring Operation: 49-24=25, Resulting Numbers: [25]
25,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 96:[49, 2], Operations: ['57-46=11', '13-11=2']
Exploring Operation: 49+2=51, Resulting Numbers: [51]
51,96 unequal: No Solution
Exploring Operation: 49*2=98, Resulting Numbers: [98]
98,96 unequal: No Solution
Exploring Operation: 49-2=47, Resulting Numbers: [47]
47,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 96:[11, 36], Operations: ['57-46=11', '49-13=36']
Exploring Operation: 36-11=25, Resulting Numbers: [25]
25,96 unequal: No Solution
Exploring Operation: 11+36=47, Resulting Numbers: [47]
47,96 unequal: No Solution
Exploring Operation: 11*36=396, Resulting Numbers: [396]
396,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 96:[13, 38], Operations: ['57-46=11', '49-11=38']
Exploring Operation: 13+38=51, Resulting Numbers: [51]
51,96 unequal: No Solution
Exploring Operation: 38-13=25, Resulting Numbers: [25]
25,96 unequal: No Solution
Exploring Operation: 13*38=494, Resulting Numbers: [494]
494,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 96:[13, 60], Operations: ['57-46=11', '49+11=60']
Exploring Operation: 60-13=47, Resulting Numbers: [47]
47,96 unequal: No Solution
Exploring Operation: 13+60=73, Resulting Numbers: [73]
73,96 unequal: No Solution
Exploring Operation: 13*60=780, Resulting Numbers: [780]
780,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 96:[46, 13, 8], Operations: ['57-49=8']
Exploring Operation: 13-8=5, Resulting Numbers: [46, 5]
Generated Node #0,4,0: 96:[46, 5] Operation: 13-8=5
Exploring Operation: 46-8=38, Resulting Numbers: [13, 38]
Generated Node #0,4,1: 96:[13, 38] Operation: 46-8=38
Exploring Operation: 13+8=21, Resulting Numbers: [46, 21]
Generated Node #0,4,2: 96:[46, 21] Operation: 13+8=21
Exploring Operation: 46-13=33, Resulting Numbers: [8, 33]
Generated Node #0,4,3: 96:[8, 33] Operation: 46-13=33
Exploring Operation: 46+8=54, Resulting Numbers: [13, 54]
Generated Node #0,4,4: 96:[13, 54] Operation: 46+8=54
Moving to Node #0,4,3
Current State: 96:[8, 33], Operations: ['57-49=8', '46-13=33']
Exploring Operation: 33-8=25, Resulting Numbers: [25]
25,96 unequal: No Solution
Exploring Operation: 8*33=264, Resulting Numbers: [264]
264,96 unequal: No Solution
Exploring Operation: 8+33=41, Resulting Numbers: [41]
41,96 unequal: No Solution
Moving to Node #0,4,0
Current State: 96:[46, 5], Operations: ['57-49=8', '13-8=5']
Exploring Operation: 46*5=230, Resulting Numbers: [230]
230,96 unequal: No Solution
Exploring Operation: 46-5=41, Resulting Numbers: [41]
41,96 unequal: No Solution
Exploring Operation: 46+5=51, Resulting Numbers: [51]
51,96 unequal: No Solution
Moving to Node #0,4,2
Current State: 96:[46, 21], Operations: ['57-49=8', '13+8=21']
Exploring Operation: 46*21=966, Resulting Numbers: [966]
966,96 unequal: No Solution
Exploring Operation: 46-21=25, Resulting Numbers: [25]
25,96 unequal: No Solution
Exploring Operation: 46+21=67, Resulting Numbers: [67]
67,96 unequal: No Solution
Moving to Node #0,4,1
Current State: 96:[13, 38], Operations: ['57-49=8', '46-8=38']
Exploring Operation: 13*38=494, Resulting Numbers: [494]
494,96 unequal: No Solution
Exploring Operation: 13+38=51, Resulting Numbers: [51]
51,96 unequal: No Solution
Exploring Operation: 38-13=25, Resulting Numbers: [25]
25,96 unequal: No Solution
Moving to Node #0,4,4
Current State: 96:[13, 54], Operations: ['57-49=8', '46+8=54']
Exploring Operation: 13+54=67, Resulting Numbers: [67]
67,96 unequal: No Solution
Exploring Operation: 13*54=702, Resulting Numbers: [702]
702,96 unequal: No Solution
Exploring Operation: 54-13=41, Resulting Numbers: [41]
41,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 96:[46, 49, 44], Operations: ['57-13=44']
Exploring Operation: 46+49=95, Resulting Numbers: [44, 95]
Generated Node #0,1,0: 96:[44, 95] Operation: 46+49=95
Exploring Operation: 46-44=2, Resulting Numbers: [49, 2]
Generated Node #0,1,1: 96:[49, 2] Operation: 46-44=2
Exploring Operation: 49+44=93, Resulting Numbers: [46, 93]
Generated Node #0,1,2: 96:[46, 93] Operation: 49+44=93
Exploring Operation: 49-46=3, Resulting Numbers: [44, 3]
Generated Node #0,1,3: 96:[44, 3] Operation: 49-46=3
Exploring Operation: 49-44=5, Resulting Numbers: [46, 5]
Generated Node #0,1,4: 96:[46, 5] Operation: 49-44=5
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 96:[49, 2], Operations: ['57-13=44', '46-44=2']
Exploring Operation: 49*2=98, Resulting Numbers: [98]
98,96 unequal: No Solution
Exploring Operation: 49-2=47, Resulting Numbers: [47]
47,96 unequal: No Solution
Exploring Operation: 49+2=51, Resulting Numbers: [51]
51,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 96:[46, 5], Operations: ['57-13=44', '49-44=5']
Exploring Operation: 46*5=230, Resulting Numbers: [230]
230,96 unequal: No Solution
Exploring Operation: 46-5=41, Resulting Numbers: [41]
41,96 unequal: No Solution
Exploring Operation: 46+5=51, Resulting Numbers: [51]
51,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 96:[44, 3], Operations: ['57-13=44', '49-46=3']
Exploring Operation: 44-3=41, Resulting Numbers: [41]
41,96 unequal: No Solution
Exploring Operation: 44+3=47, Resulting Numbers: [47]
47,96 unequal: No Solution
Exploring Operation: 44*3=132, Resulting Numbers: [132]
132,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 96:[44, 95], Operations: ['57-13=44', '46+49=95']
Exploring Operation: 44*95=4180, Resulting Numbers: [4180]
4180,96 unequal: No Solution
Exploring Operation: 44+95=139, Resulting Numbers: [139]
139,96 unequal: No Solution
Exploring Operation: 95-44=51, Resulting Numbers: [51]
51,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 96:[46, 93], Operations: ['57-13=44', '49+44=93']
Exploring Operation: 93-46=47, Resulting Numbers: [47]
47,96 unequal: No Solution
Exploring Operation: 46*93=4278, Resulting Numbers: [4278]
4278,96 unequal: No Solution
Exploring Operation: 46+93=139, Resulting Numbers: [139]
139,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 96:[13, 49, 103], Operations: ['46+57=103']
Exploring Operation: 13+49=62, Resulting Numbers: [103, 62]
Generated Node #0,0,0: 96:[103, 62] Operation: 13+49=62
Exploring Operation: 13+103=116, Resulting Numbers: [49, 116]
Generated Node #0,0,1: 96:[49, 116] Operation: 13+103=116
Exploring Operation: 103-49=54, Resulting Numbers: [13, 54]
Generated Node #0,0,2: 96:[13, 54] Operation: 103-49=54
Exploring Operation: 103-13=90, Resulting Numbers: [49, 90]
Generated Node #0,0,3: 96:[49, 90] Operation: 103-13=90
Exploring Operation: 49-13=36, Resulting Numbers: [103, 36]
Generated Node #0,0,4: 96:[103, 36] Operation: 49-13=36
Moving to Node #0,0,2
Current State: 96:[13, 54], Operations: ['46+57=103', '103-49=54']
Exploring Operation: 13*54=702, Resulting Numbers: [702]
702,96 unequal: No Solution
Exploring Operation: 13+54=67, Resulting Numbers: [67]
67,96 unequal: No Solution
Exploring Operation: 54-13=41, Resulting Numbers: [41]
41,96 unequal: No Solution
Moving to Node #0,0,3
Current State: 96:[49, 90], Operations: ['46+57=103', '103-13=90']
Exploring Operation: 49*90=4410, Resulting Numbers: [4410]
4410,96 unequal: No Solution
Exploring Operation: 90-49=41, Resulting Numbers: [41]
41,96 unequal: No Solution
Exploring Operation: 49+90=139, Resulting Numbers: [139]
139,96 unequal: No Solution
Moving to Node #0,0,4
Current State: 96:[103, 36], Operations: ['46+57=103', '49-13=36']
Exploring Operation: 103-36=67, Resulting Numbers: [67]
67,96 unequal: No Solution
Exploring Operation: 103*36=3708, Resulting Numbers: [3708]
3708,96 unequal: No Solution
Exploring Operation: 103+36=139, Resulting Numbers: [139]
139,96 unequal: No Solution
Moving to Node #0,0,0
Current State: 96:[103, 62], Operations: ['46+57=103', '13+49=62']
Exploring Operation: 103+62=165, Resulting Numbers: [165]
165,96 unequal: No Solution
Exploring Operation: 103*62=6386, Resulting Numbers: [6386]
6386,96 unequal: No Solution
Exploring Operation: 103-62=41, Resulting Numbers: [41]
41,96 unequal: No Solution
Moving to Node #0,0,1
Current State: 96:[49, 116], Operations: ['46+57=103', '13+103=116']
Exploring Operation: 49+116=165, Resulting Numbers: [165]
165,96 unequal: No Solution
Exploring Operation: 49*116=5684, Resulting Numbers: [5684]
5684,96 unequal: No Solution
Exploring Operation: 116-49=67, Resulting Numbers: [67]
67,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 96:[57, 13, 3], Operations: ['49-46=3']
Exploring Operation: 57-13=44, Resulting Numbers: [3, 44]
Generated Node #0,3,0: 96:[3, 44] Operation: 57-13=44
Exploring Operation: 13+3=16, Resulting Numbers: [57, 16]
Generated Node #0,3,1: 96:[57, 16] Operation: 13+3=16
Exploring Operation: 57/3=19, Resulting Numbers: [13, 19]
Generated Node #0,3,2: 96:[13, 19] Operation: 57/3=19
Exploring Operation: 13-3=10, Resulting Numbers: [57, 10]
Generated Node #0,3,3: 96:[57, 10] Operation: 13-3=10
Exploring Operation: 57-3=54, Resulting Numbers: [13, 54]
Generated Node #0,3,4: 96:[13, 54] Operation: 57-3=54
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 96:[3, 44], Operations: ['49-46=3', '57-13=44']
Exploring Operation: 44-3=41, Resulting Numbers: [41]
41,96 unequal: No Solution
Exploring Operation: 3*44=132, Resulting Numbers: [132]
132,96 unequal: No Solution
Exploring Operation: 3+44=47, Resulting Numbers: [47]
47,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 96:[13, 19], Operations: ['49-46=3', '57/3=19']
Exploring Operation: 13+19=32, Resulting Numbers: [32]
32,96 unequal: No Solution
Exploring Operation: 13*19=247, Resulting Numbers: [247]
247,96 unequal: No Solution
Exploring Operation: 19-13=6, Resulting Numbers: [6]
6,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 96:[13, 54], Operations: ['49-46=3', '57-3=54']
Exploring Operation: 54-13=41, Resulting Numbers: [41]
41,96 unequal: No Solution
Exploring Operation: 13+54=67, Resulting Numbers: [67]
67,96 unequal: No Solution
Exploring Operation: 13*54=702, Resulting Numbers: [702]
702,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 96:[57, 16], Operations: ['49-46=3', '13+3=16']
Exploring Operation: 57*16=912, Resulting Numbers: [912]
912,96 unequal: No Solution
Exploring Operation: 57-16=41, Resulting Numbers: [41]
41,96 unequal: No Solution
Exploring Operation: 57+16=73, Resulting Numbers: [73]
73,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 96:[57, 10], Operations: ['49-46=3', '13-3=10']
Exploring Operation: 57*10=570, Resulting Numbers: [570]
570,96 unequal: No Solution
Exploring Operation: 57-10=47, Resulting Numbers: [47]
47,96 unequal: No Solution
Exploring Operation: 57+10=67, Resulting Numbers: [67]
67,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
56,
80,
7,
34
] | 70 | [
"80-56=24",
"34-24=10",
"7*10=70"
] | Current State: 70:[56, 80, 7, 34], Operations: []
Exploring Operation: 80-56=24, Resulting Numbers: [7, 34, 24]
Generated Node #2: [7, 34, 24] from Operation: 80-56=24
Current State: 70:[7, 34, 24], Operations: ['80-56=24']
Exploring Operation: 34-24=10, Resulting Numbers: [7, 10]
Generated Node #3: [7, 10] from Operation: 34-24=10
Current State: 70:[7, 10], Operations: ['80-56=24', '34-24=10']
Exploring Operation: 7*10=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[56, 80, 7, 34], Operations: []
Exploring Operation: 80-56=24, Resulting Numbers: [7, 34, 24]
Generated Node #0,0: 70:[7, 34, 24] Operation: 80-56=24
Exploring Operation: 56/7=8, Resulting Numbers: [80, 34, 8]
Generated Node #0,1: 70:[80, 34, 8] Operation: 56/7=8
Start Sub Search at level 1: Moving to Node #0,0
Current State: 70:[7, 34, 24], Operations: ['80-56=24']
Exploring Operation: 24-7=17, Resulting Numbers: [34, 17]
Generated Node #0,0,0: 70:[34, 17] Operation: 24-7=17
Exploring Operation: 34-24=10, Resulting Numbers: [7, 10]
Generated Node #0,0,1: 70:[7, 10] Operation: 34-24=10
Moving to Node #0,0,1
Current State: 70:[7, 10], Operations: ['80-56=24', '34-24=10']
Exploring Operation: 7*10=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Moving to Node #0
Current State: 70:[56, 80, 7, 34], Operations: []
Exploring Operation: 80-56=24, Resulting Numbers: [7, 34, 24]
Generated Node #0,0: 70:[7, 34, 24] Operation: 80-56=24
Moving to Node #0,0
Current State: 70:[7, 34, 24], Operations: ['80-56=24']
Exploring Operation: 34-24=10, Resulting Numbers: [7, 10]
Generated Node #0,0,1: 70:[7, 10] Operation: 34-24=10
Moving to Node #0,0,1
Current State: 70:[7, 10], Operations: ['80-56=24', '34-24=10']
Exploring Operation: 7*10=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
93,
37,
37,
92
] | 74 | [
"93-92=1",
"37+37=74",
"1*74=74"
] | Current State: 74:[93, 37, 37, 92], Operations: []
Exploring Operation: 93-92=1, Resulting Numbers: [37, 37, 1]
Generated Node #2: [37, 37, 1] from Operation: 93-92=1
Current State: 74:[37, 37, 1], Operations: ['93-92=1']
Exploring Operation: 37+37=74, Resulting Numbers: [1, 74]
Generated Node #3: [1, 74] from Operation: 37+37=74
Current State: 74:[1, 74], Operations: ['93-92=1', '37+37=74']
Exploring Operation: 1*74=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[93, 37, 37, 92], Operations: []
Exploring Operation: 93-92=1, Resulting Numbers: [37, 37, 1]
Generated Node #0,0: 74:[37, 37, 1] Operation: 93-92=1
Moving to Node #0,0
Current State: 74:[37, 37, 1], Operations: ['93-92=1']
Exploring Operation: 37*1=37, Resulting Numbers: [37, 37]
Generated Node #0,0,0: 74:[37, 37] Operation: 37*1=37
Moving to Node #0,0,0
Current State: 74:[37, 37], Operations: ['93-92=1', '37*1=37']
Exploring Operation: 37+37=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Moving to Node #0
Current State: 74:[93, 37, 37, 92], Operations: []
Exploring Operation: 93-92=1, Resulting Numbers: [37, 37, 1]
Generated Node #0,0: 74:[37, 37, 1] Operation: 93-92=1
Moving to Node #0,0
Current State: 74:[37, 37, 1], Operations: ['93-92=1']
Exploring Operation: 37*1=37, Resulting Numbers: [37, 37]
Generated Node #0,0,0: 74:[37, 37] Operation: 37*1=37
Moving to Node #0,0,0
Current State: 74:[37, 37], Operations: ['93-92=1', '37*1=37']
Exploring Operation: 37+37=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 0.993924 | hs_1 | mult_heuristic |
[
61,
20,
91,
49
] | 83 | [
"61-20=41",
"91-49=42",
"41+42=83"
] | Current State: 83:[61, 20, 91, 49], Operations: []
Exploring Operation: 61-20=41, Resulting Numbers: [91, 49, 41]
Generated Node #2: [91, 49, 41] from Operation: 61-20=41
Current State: 83:[91, 49, 41], Operations: ['61-20=41']
Exploring Operation: 91-49=42, Resulting Numbers: [41, 42]
Generated Node #3: [41, 42] from Operation: 91-49=42
Current State: 83:[41, 42], Operations: ['61-20=41', '91-49=42']
Exploring Operation: 41+42=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[61, 20, 91, 49], Operations: []
Exploring Operation: 61+20=81, Resulting Numbers: [91, 49, 81]
Generated Node #0,0: 83:[91, 49, 81] Operation: 61+20=81
Exploring Operation: 20+49=69, Resulting Numbers: [61, 91, 69]
Generated Node #0,1: 83:[61, 91, 69] Operation: 20+49=69
Exploring Operation: 91-20=71, Resulting Numbers: [61, 49, 71]
Generated Node #0,2: 83:[61, 49, 71] Operation: 91-20=71
Moving to Node #0,0
Current State: 83:[91, 49, 81], Operations: ['61+20=81']
Exploring Operation: 91+49=140, Resulting Numbers: [81, 140]
Generated Node #0,0,0: 83:[81, 140] Operation: 91+49=140
Exploring Operation: 91-49=42, Resulting Numbers: [81, 42]
Generated Node #0,0,1: 83:[81, 42] Operation: 91-49=42
Exploring Operation: 49+81=130, Resulting Numbers: [91, 130]
Generated Node #0,0,2: 83:[91, 130] Operation: 49+81=130
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 83:[81, 42], Operations: ['61+20=81', '91-49=42']
Exploring Operation: 81+42=123, Resulting Numbers: [123]
123,83 unequal: No Solution
Exploring Operation: 81*42=3402, Resulting Numbers: [3402]
3402,83 unequal: No Solution
Exploring Operation: 81-42=39, Resulting Numbers: [39]
39,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 83:[91, 130], Operations: ['61+20=81', '49+81=130']
Exploring Operation: 91*130=11830, Resulting Numbers: [11830]
11830,83 unequal: No Solution
Exploring Operation: 130-91=39, Resulting Numbers: [39]
39,83 unequal: No Solution
Exploring Operation: 91+130=221, Resulting Numbers: [221]
221,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 83:[81, 140], Operations: ['61+20=81', '91+49=140']
Exploring Operation: 81+140=221, Resulting Numbers: [221]
221,83 unequal: No Solution
Exploring Operation: 81*140=11340, Resulting Numbers: [11340]
11340,83 unequal: No Solution
Exploring Operation: 140-81=59, Resulting Numbers: [59]
59,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 83:[61, 91, 69], Operations: ['20+49=69']
Exploring Operation: 91-61=30, Resulting Numbers: [69, 30]
Generated Node #0,1,0: 83:[69, 30] Operation: 91-61=30
Exploring Operation: 61+91=152, Resulting Numbers: [69, 152]
Generated Node #0,1,1: 83:[69, 152] Operation: 61+91=152
Exploring Operation: 61+69=130, Resulting Numbers: [91, 130]
Generated Node #0,1,2: 83:[91, 130] Operation: 61+69=130
Moving to Node #0,2
Current State: 83:[61, 49, 71], Operations: ['91-20=71']
Exploring Operation: 61-49=12, Resulting Numbers: [71, 12]
Generated Node #0,2,0: 83:[71, 12] Operation: 61-49=12
Exploring Operation: 61+49=110, Resulting Numbers: [71, 110]
Generated Node #0,2,1: 83:[71, 110] Operation: 61+49=110
Exploring Operation: 49+71=120, Resulting Numbers: [61, 120]
Generated Node #0,2,2: 83:[61, 120] Operation: 49+71=120
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 83:[71, 110], Operations: ['91-20=71', '61+49=110']
Exploring Operation: 71*110=7810, Resulting Numbers: [7810]
7810,83 unequal: No Solution
Exploring Operation: 71+110=181, Resulting Numbers: [181]
181,83 unequal: No Solution
Exploring Operation: 110-71=39, Resulting Numbers: [39]
39,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 83:[61, 120], Operations: ['91-20=71', '49+71=120']
Exploring Operation: 61+120=181, Resulting Numbers: [181]
181,83 unequal: No Solution
Exploring Operation: 120-61=59, Resulting Numbers: [59]
59,83 unequal: No Solution
Exploring Operation: 61*120=7320, Resulting Numbers: [7320]
7320,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 83:[71, 12], Operations: ['91-20=71', '61-49=12']
Exploring Operation: 71*12=852, Resulting Numbers: [852]
852,83 unequal: No Solution
Exploring Operation: 71-12=59, Resulting Numbers: [59]
59,83 unequal: No Solution
Exploring Operation: 71+12=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
Moving to Node #0
Current State: 83:[61, 20, 91, 49], Operations: []
Exploring Operation: 91-20=71, Resulting Numbers: [61, 49, 71]
Generated Node #0,2: 83:[61, 49, 71] Operation: 91-20=71
Moving to Node #0,2
Current State: 83:[61, 49, 71], Operations: ['91-20=71']
Exploring Operation: 61-49=12, Resulting Numbers: [71, 12]
Generated Node #0,2,0: 83:[71, 12] Operation: 61-49=12
Moving to Node #0,2,0
Current State: 83:[71, 12], Operations: ['91-20=71', '61-49=12']
Exploring Operation: 71+12=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
Exit Sub Search at level 1
| 0.970486 | hs_3 | sum_heuristic |
[
40,
63,
68,
82
] | 89 | [
"40+63=103",
"82-68=14",
"103-14=89"
] | Current State: 89:[40, 63, 68, 82], Operations: []
Exploring Operation: 40+63=103, Resulting Numbers: [68, 82, 103]
Generated Node #2: [68, 82, 103] from Operation: 40+63=103
Current State: 89:[68, 82, 103], Operations: ['40+63=103']
Exploring Operation: 82-68=14, Resulting Numbers: [103, 14]
Generated Node #3: [103, 14] from Operation: 82-68=14
Current State: 89:[103, 14], Operations: ['40+63=103', '82-68=14']
Exploring Operation: 103-14=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[40, 63, 68, 82], Operations: []
Exploring Operation: 40+63=103, Resulting Numbers: [68, 82, 103]
Generated Node #0,0: 89:[68, 82, 103] Operation: 40+63=103
Moving to Node #0,0
Current State: 89:[68, 82, 103], Operations: ['40+63=103']
Exploring Operation: 103-68=35, Resulting Numbers: [82, 35]
Generated Node #0,0,0: 89:[82, 35] Operation: 103-68=35
Moving to Node #0,0,0
Current State: 89:[82, 35], Operations: ['40+63=103', '103-68=35']
Exploring Operation: 82+35=117, Resulting Numbers: [117]
117,89 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
38,
60,
57,
28
] | 48 | [
"60-28=32",
"57*32=1824",
"1824/38=48"
] | Current State: 48:[38, 60, 57, 28], Operations: []
Exploring Operation: 60-28=32, Resulting Numbers: [38, 57, 32]
Generated Node #2: [38, 57, 32] from Operation: 60-28=32
Current State: 48:[38, 57, 32], Operations: ['60-28=32']
Exploring Operation: 57*32=1824, Resulting Numbers: [38, 1824]
Generated Node #3: [38, 1824] from Operation: 57*32=1824
Current State: 48:[38, 1824], Operations: ['60-28=32', '57*32=1824']
Exploring Operation: 1824/38=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[38, 60, 57, 28], Operations: []
Exploring Operation: 60-38=22, Resulting Numbers: [57, 28, 22]
Generated Node #0,0: 48:[57, 28, 22] Operation: 60-38=22
Exploring Operation: 57-38=19, Resulting Numbers: [60, 28, 19]
Generated Node #0,1: 48:[60, 28, 19] Operation: 57-38=19
Exploring Operation: 60-57=3, Resulting Numbers: [38, 28, 3]
Generated Node #0,2: 48:[38, 28, 3] Operation: 60-57=3
Moving to Node #0,2
Current State: 48:[38, 28, 3], Operations: ['60-57=3']
Exploring Operation: 38-28=10, Resulting Numbers: [3, 10]
Generated Node #0,2,0: 48:[3, 10] Operation: 38-28=10
Exploring Operation: 38+3=41, Resulting Numbers: [28, 41]
Generated Node #0,2,1: 48:[28, 41] Operation: 38+3=41
Exploring Operation: 28-3=25, Resulting Numbers: [38, 25]
Generated Node #0,2,2: 48:[38, 25] Operation: 28-3=25
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 48:[3, 10], Operations: ['60-57=3', '38-28=10']
Exploring Operation: 10-3=7, Resulting Numbers: [7]
7,48 unequal: No Solution
Exploring Operation: 3+10=13, Resulting Numbers: [13]
13,48 unequal: No Solution
Exploring Operation: 3*10=30, Resulting Numbers: [30]
30,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 48:[28, 41], Operations: ['60-57=3', '38+3=41']
Exploring Operation: 28+41=69, Resulting Numbers: [69]
69,48 unequal: No Solution
Exploring Operation: 28*41=1148, Resulting Numbers: [1148]
1148,48 unequal: No Solution
Exploring Operation: 41-28=13, Resulting Numbers: [13]
13,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 48:[38, 25], Operations: ['60-57=3', '28-3=25']
Exploring Operation: 38-25=13, Resulting Numbers: [13]
13,48 unequal: No Solution
Exploring Operation: 38*25=950, Resulting Numbers: [950]
950,48 unequal: No Solution
Exploring Operation: 38+25=63, Resulting Numbers: [63]
63,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 48:[57, 28, 22], Operations: ['60-38=22']
Exploring Operation: 57-28=29, Resulting Numbers: [22, 29]
Generated Node #0,0,0: 48:[22, 29] Operation: 57-28=29
Exploring Operation: 28-22=6, Resulting Numbers: [57, 6]
Generated Node #0,0,1: 48:[57, 6] Operation: 28-22=6
Exploring Operation: 28+22=50, Resulting Numbers: [57, 50]
Generated Node #0,0,2: 48:[57, 50] Operation: 28+22=50
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 48:[22, 29], Operations: ['60-38=22', '57-28=29']
Exploring Operation: 22*29=638, Resulting Numbers: [638]
638,48 unequal: No Solution
Exploring Operation: 22+29=51, Resulting Numbers: [51]
51,48 unequal: No Solution
Exploring Operation: 29-22=7, Resulting Numbers: [7]
7,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 48:[57, 6], Operations: ['60-38=22', '28-22=6']
Exploring Operation: 57-6=51, Resulting Numbers: [51]
51,48 unequal: No Solution
Exploring Operation: 57*6=342, Resulting Numbers: [342]
342,48 unequal: No Solution
Exploring Operation: 57+6=63, Resulting Numbers: [63]
63,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 48:[57, 50], Operations: ['60-38=22', '28+22=50']
Exploring Operation: 57+50=107, Resulting Numbers: [107]
107,48 unequal: No Solution
Exploring Operation: 57-50=7, Resulting Numbers: [7]
7,48 unequal: No Solution
Exploring Operation: 57*50=2850, Resulting Numbers: [2850]
2850,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 48:[60, 28, 19], Operations: ['57-38=19']
Exploring Operation: 28+19=47, Resulting Numbers: [60, 47]
Generated Node #0,1,0: 48:[60, 47] Operation: 28+19=47
Exploring Operation: 60-19=41, Resulting Numbers: [28, 41]
Generated Node #0,1,1: 48:[28, 41] Operation: 60-19=41
Exploring Operation: 60-28=32, Resulting Numbers: [19, 32]
Generated Node #0,1,2: 48:[19, 32] Operation: 60-28=32
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 48:[28, 41], Operations: ['57-38=19', '60-19=41']
Exploring Operation: 41-28=13, Resulting Numbers: [13]
13,48 unequal: No Solution
Exploring Operation: 28*41=1148, Resulting Numbers: [1148]
1148,48 unequal: No Solution
Exploring Operation: 28+41=69, Resulting Numbers: [69]
69,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 48:[19, 32], Operations: ['57-38=19', '60-28=32']
Exploring Operation: 19*32=608, Resulting Numbers: [608]
608,48 unequal: No Solution
Exploring Operation: 19+32=51, Resulting Numbers: [51]
51,48 unequal: No Solution
Exploring Operation: 32-19=13, Resulting Numbers: [13]
13,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 48:[60, 47], Operations: ['57-38=19', '28+19=47']
Exploring Operation: 60+47=107, Resulting Numbers: [107]
107,48 unequal: No Solution
Exploring Operation: 60*47=2820, Resulting Numbers: [2820]
2820,48 unequal: No Solution
Exploring Operation: 60-47=13, Resulting Numbers: [13]
13,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
58,
3,
41,
39
] | 46 | [
"58+41=99",
"39+99=138",
"138/3=46"
] | Current State: 46:[58, 3, 41, 39], Operations: []
Exploring Operation: 58+41=99, Resulting Numbers: [3, 39, 99]
Generated Node #2: [3, 39, 99] from Operation: 58+41=99
Current State: 46:[3, 39, 99], Operations: ['58+41=99']
Exploring Operation: 39+99=138, Resulting Numbers: [3, 138]
Generated Node #3: [3, 138] from Operation: 39+99=138
Current State: 46:[3, 138], Operations: ['58+41=99', '39+99=138']
Exploring Operation: 138/3=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[58, 3, 41, 39], Operations: []
Exploring Operation: 58-41=17, Resulting Numbers: [3, 39, 17]
Generated Node #0,0: 46:[3, 39, 17] Operation: 58-41=17
Exploring Operation: 58-3=55, Resulting Numbers: [41, 39, 55]
Generated Node #0,1: 46:[41, 39, 55] Operation: 58-3=55
Exploring Operation: 58-39=19, Resulting Numbers: [3, 41, 19]
Generated Node #0,2: 46:[3, 41, 19] Operation: 58-39=19
Exploring Operation: 41-39=2, Resulting Numbers: [58, 3, 2]
Generated Node #0,3: 46:[58, 3, 2] Operation: 41-39=2
Start Sub Search at level 1: Moving to Node #0,2
Current State: 46:[3, 41, 19], Operations: ['58-39=19']
Exploring Operation: 41-19=22, Resulting Numbers: [3, 22]
Generated Node #0,2,0: 46:[3, 22] Operation: 41-19=22
Exploring Operation: 3+19=22, Resulting Numbers: [41, 22]
Generated Node #0,2,1: 46:[41, 22] Operation: 3+19=22
Exploring Operation: 41-3=38, Resulting Numbers: [19, 38]
Generated Node #0,2,2: 46:[19, 38] Operation: 41-3=38
Exploring Operation: 3+41=44, Resulting Numbers: [19, 44]
Generated Node #0,2,3: 46:[19, 44] Operation: 3+41=44
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 46:[3, 22], Operations: ['58-39=19', '41-19=22']
Exploring Operation: 3*22=66, Resulting Numbers: [66]
66,46 unequal: No Solution
Exploring Operation: 22-3=19, Resulting Numbers: [19]
19,46 unequal: No Solution
Exploring Operation: 3+22=25, Resulting Numbers: [25]
25,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 46:[41, 22], Operations: ['58-39=19', '3+19=22']
Exploring Operation: 41+22=63, Resulting Numbers: [63]
63,46 unequal: No Solution
Exploring Operation: 41*22=902, Resulting Numbers: [902]
902,46 unequal: No Solution
Exploring Operation: 41-22=19, Resulting Numbers: [19]
19,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 46:[19, 44], Operations: ['58-39=19', '3+41=44']
Exploring Operation: 19+44=63, Resulting Numbers: [63]
63,46 unequal: No Solution
Exploring Operation: 44-19=25, Resulting Numbers: [25]
25,46 unequal: No Solution
Exploring Operation: 19*44=836, Resulting Numbers: [836]
836,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 46:[19, 38], Operations: ['58-39=19', '41-3=38']
Exploring Operation: 19+38=57, Resulting Numbers: [57]
57,46 unequal: No Solution
Exploring Operation: 19*38=722, Resulting Numbers: [722]
722,46 unequal: No Solution
Exploring Operation: 38/19=2, Resulting Numbers: [2]
2,46 unequal: No Solution
Exploring Operation: 38-19=19, Resulting Numbers: [19]
19,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 46:[58, 3, 2], Operations: ['41-39=2']
Exploring Operation: 58/2=29, Resulting Numbers: [3, 29]
Generated Node #0,3,0: 46:[3, 29] Operation: 58/2=29
Exploring Operation: 3-2=1, Resulting Numbers: [58, 1]
Generated Node #0,3,1: 46:[58, 1] Operation: 3-2=1
Exploring Operation: 58-2=56, Resulting Numbers: [3, 56]
Generated Node #0,3,2: 46:[3, 56] Operation: 58-2=56
Exploring Operation: 58-3=55, Resulting Numbers: [2, 55]
Generated Node #0,3,3: 46:[2, 55] Operation: 58-3=55
Moving to Node #0,3,0
Current State: 46:[3, 29], Operations: ['41-39=2', '58/2=29']
Exploring Operation: 29-3=26, Resulting Numbers: [26]
26,46 unequal: No Solution
Exploring Operation: 3+29=32, Resulting Numbers: [32]
32,46 unequal: No Solution
Exploring Operation: 3*29=87, Resulting Numbers: [87]
87,46 unequal: No Solution
Moving to Node #0,3,3
Current State: 46:[2, 55], Operations: ['41-39=2', '58-3=55']
Exploring Operation: 2+55=57, Resulting Numbers: [57]
57,46 unequal: No Solution
Exploring Operation: 55-2=53, Resulting Numbers: [53]
53,46 unequal: No Solution
Exploring Operation: 2*55=110, Resulting Numbers: [110]
110,46 unequal: No Solution
Moving to Node #0,3,2
Current State: 46:[3, 56], Operations: ['41-39=2', '58-2=56']
Exploring Operation: 3+56=59, Resulting Numbers: [59]
59,46 unequal: No Solution
Exploring Operation: 56-3=53, Resulting Numbers: [53]
53,46 unequal: No Solution
Exploring Operation: 3*56=168, Resulting Numbers: [168]
168,46 unequal: No Solution
Moving to Node #0,3,1
Current State: 46:[58, 1], Operations: ['41-39=2', '3-2=1']
Exploring Operation: 58+1=59, Resulting Numbers: [59]
59,46 unequal: No Solution
Exploring Operation: 58-1=57, Resulting Numbers: [57]
57,46 unequal: No Solution
Exploring Operation: 58/1=58, Resulting Numbers: [58]
58,46 unequal: No Solution
Exploring Operation: 58*1=58, Resulting Numbers: [58]
58,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 46:[3, 39, 17], Operations: ['58-41=17']
Exploring Operation: 3+17=20, Resulting Numbers: [39, 20]
Generated Node #0,0,0: 46:[39, 20] Operation: 3+17=20
Exploring Operation: 39-17=22, Resulting Numbers: [3, 22]
Generated Node #0,0,1: 46:[3, 22] Operation: 39-17=22
Exploring Operation: 39+17=56, Resulting Numbers: [3, 56]
Generated Node #0,0,2: 46:[3, 56] Operation: 39+17=56
Exploring Operation: 3+39=42, Resulting Numbers: [17, 42]
Generated Node #0,0,3: 46:[17, 42] Operation: 3+39=42
Moving to Node #0,0,1
Current State: 46:[3, 22], Operations: ['58-41=17', '39-17=22']
Exploring Operation: 22-3=19, Resulting Numbers: [19]
19,46 unequal: No Solution
Exploring Operation: 3+22=25, Resulting Numbers: [25]
25,46 unequal: No Solution
Exploring Operation: 3*22=66, Resulting Numbers: [66]
66,46 unequal: No Solution
Moving to Node #0,0,3
Current State: 46:[17, 42], Operations: ['58-41=17', '3+39=42']
Exploring Operation: 17*42=714, Resulting Numbers: [714]
714,46 unequal: No Solution
Exploring Operation: 42-17=25, Resulting Numbers: [25]
25,46 unequal: No Solution
Exploring Operation: 17+42=59, Resulting Numbers: [59]
59,46 unequal: No Solution
Moving to Node #0,0,0
Current State: 46:[39, 20], Operations: ['58-41=17', '3+17=20']
Exploring Operation: 39-20=19, Resulting Numbers: [19]
19,46 unequal: No Solution
Exploring Operation: 39+20=59, Resulting Numbers: [59]
59,46 unequal: No Solution
Exploring Operation: 39*20=780, Resulting Numbers: [780]
780,46 unequal: No Solution
Moving to Node #0,0,2
Current State: 46:[3, 56], Operations: ['58-41=17', '39+17=56']
Exploring Operation: 3*56=168, Resulting Numbers: [168]
168,46 unequal: No Solution
Exploring Operation: 56-3=53, Resulting Numbers: [53]
53,46 unequal: No Solution
Exploring Operation: 3+56=59, Resulting Numbers: [59]
59,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 46:[41, 39, 55], Operations: ['58-3=55']
Exploring Operation: 55-41=14, Resulting Numbers: [39, 14]
Generated Node #0,1,0: 46:[39, 14] Operation: 55-41=14
Exploring Operation: 41+39=80, Resulting Numbers: [55, 80]
Generated Node #0,1,1: 46:[55, 80] Operation: 41+39=80
Exploring Operation: 41-39=2, Resulting Numbers: [55, 2]
Generated Node #0,1,2: 46:[55, 2] Operation: 41-39=2
Exploring Operation: 55-39=16, Resulting Numbers: [41, 16]
Generated Node #0,1,3: 46:[41, 16] Operation: 55-39=16
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 46:[55, 2], Operations: ['58-3=55', '41-39=2']
Exploring Operation: 55-2=53, Resulting Numbers: [53]
53,46 unequal: No Solution
Exploring Operation: 55+2=57, Resulting Numbers: [57]
57,46 unequal: No Solution
Exploring Operation: 55*2=110, Resulting Numbers: [110]
110,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 46:[41, 16], Operations: ['58-3=55', '55-39=16']
Exploring Operation: 41*16=656, Resulting Numbers: [656]
656,46 unequal: No Solution
Exploring Operation: 41-16=25, Resulting Numbers: [25]
25,46 unequal: No Solution
Exploring Operation: 41+16=57, Resulting Numbers: [57]
57,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 46:[39, 14], Operations: ['58-3=55', '55-41=14']
Exploring Operation: 39+14=53, Resulting Numbers: [53]
53,46 unequal: No Solution
Exploring Operation: 39*14=546, Resulting Numbers: [546]
546,46 unequal: No Solution
Exploring Operation: 39-14=25, Resulting Numbers: [25]
25,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 46:[55, 80], Operations: ['58-3=55', '41+39=80']
Exploring Operation: 55+80=135, Resulting Numbers: [135]
135,46 unequal: No Solution
Exploring Operation: 55*80=4400, Resulting Numbers: [4400]
4400,46 unequal: No Solution
Exploring Operation: 80-55=25, Resulting Numbers: [25]
25,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
96,
28,
84,
91
] | 92 | [
"91-84=7",
"28/7=4",
"96-4=92"
] | Current State: 92:[96, 28, 84, 91], Operations: []
Exploring Operation: 91-84=7, Resulting Numbers: [96, 28, 7]
Generated Node #2: [96, 28, 7] from Operation: 91-84=7
Current State: 92:[96, 28, 7], Operations: ['91-84=7']
Exploring Operation: 28/7=4, Resulting Numbers: [96, 4]
Generated Node #3: [96, 4] from Operation: 28/7=4
Current State: 92:[96, 4], Operations: ['91-84=7', '28/7=4']
Exploring Operation: 96-4=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[96, 28, 84, 91], Operations: []
Exploring Operation: 91-84=7, Resulting Numbers: [96, 28, 7]
Generated Node #0,0: 92:[96, 28, 7] Operation: 91-84=7
Exploring Operation: 84/28=3, Resulting Numbers: [96, 91, 3]
Generated Node #0,1: 92:[96, 91, 3] Operation: 84/28=3
Start Sub Search at level 1: Moving to Node #0,1
Current State: 92:[96, 91, 3], Operations: ['84/28=3']
Exploring Operation: 96-91=5, Resulting Numbers: [3, 5]
Generated Node #0,1,0: 92:[3, 5] Operation: 96-91=5
Exploring Operation: 96-3=93, Resulting Numbers: [91, 93]
Generated Node #0,1,1: 92:[91, 93] Operation: 96-3=93
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 92:[3, 5], Operations: ['84/28=3', '96-91=5']
Exploring Operation: 5-3=2, Resulting Numbers: [2]
2,92 unequal: No Solution
Exploring Operation: 3+5=8, Resulting Numbers: [8]
8,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 92:[91, 93], Operations: ['84/28=3', '96-3=93']
Exploring Operation: 93-91=2, Resulting Numbers: [2]
2,92 unequal: No Solution
Exploring Operation: 91+93=184, Resulting Numbers: [184]
184,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 92:[96, 28, 7], Operations: ['91-84=7']
Exploring Operation: 28/7=4, Resulting Numbers: [96, 4]
Generated Node #0,0,0: 92:[96, 4] Operation: 28/7=4
Exploring Operation: 28-7=21, Resulting Numbers: [96, 21]
Generated Node #0,0,1: 92:[96, 21] Operation: 28-7=21
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 92:[96, 4], Operations: ['91-84=7', '28/7=4']
Exploring Operation: 96/4=24, Resulting Numbers: [24]
24,92 unequal: No Solution
Exploring Operation: 96-4=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Moving to Node #0
Current State: 92:[96, 28, 84, 91], Operations: []
Exploring Operation: 91-84=7, Resulting Numbers: [96, 28, 7]
Generated Node #0,0: 92:[96, 28, 7] Operation: 91-84=7
Moving to Node #0,0
Current State: 92:[96, 28, 7], Operations: ['91-84=7']
Exploring Operation: 28/7=4, Resulting Numbers: [96, 4]
Generated Node #0,0,0: 92:[96, 4] Operation: 28/7=4
Moving to Node #0,0,0
Current State: 92:[96, 4], Operations: ['91-84=7', '28/7=4']
Exploring Operation: 96-4=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_2 | mult_heuristic |
[
20,
58,
36,
92
] | 50 | [
"20+58=78",
"36+92=128",
"128-78=50"
] | Current State: 50:[20, 58, 36, 92], Operations: []
Exploring Operation: 20+58=78, Resulting Numbers: [36, 92, 78]
Generated Node #2: [36, 92, 78] from Operation: 20+58=78
Current State: 50:[36, 92, 78], Operations: ['20+58=78']
Exploring Operation: 36+92=128, Resulting Numbers: [78, 128]
Generated Node #3: [78, 128] from Operation: 36+92=128
Current State: 50:[78, 128], Operations: ['20+58=78', '36+92=128']
Exploring Operation: 128-78=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[20, 58, 36, 92], Operations: []
Exploring Operation: 92-36=56, Resulting Numbers: [20, 58, 56]
Generated Node #0,0: 50:[20, 58, 56] Operation: 92-36=56
Exploring Operation: 92-58=34, Resulting Numbers: [20, 36, 34]
Generated Node #0,1: 50:[20, 36, 34] Operation: 92-58=34
Exploring Operation: 58-36=22, Resulting Numbers: [20, 92, 22]
Generated Node #0,2: 50:[20, 92, 22] Operation: 58-36=22
Exploring Operation: 92-20=72, Resulting Numbers: [58, 36, 72]
Generated Node #0,3: 50:[58, 36, 72] Operation: 92-20=72
Exploring Operation: 20+36=56, Resulting Numbers: [58, 92, 56]
Generated Node #0,4: 50:[58, 92, 56] Operation: 20+36=56
Moving to Node #0,0
Current State: 50:[20, 58, 56], Operations: ['92-36=56']
Exploring Operation: 20+58=78, Resulting Numbers: [56, 78]
Generated Node #0,0,0: 50:[56, 78] Operation: 20+58=78
Exploring Operation: 58-56=2, Resulting Numbers: [20, 2]
Generated Node #0,0,1: 50:[20, 2] Operation: 58-56=2
Exploring Operation: 20+56=76, Resulting Numbers: [58, 76]
Generated Node #0,0,2: 50:[58, 76] Operation: 20+56=76
Exploring Operation: 56-20=36, Resulting Numbers: [58, 36]
Generated Node #0,0,3: 50:[58, 36] Operation: 56-20=36
Exploring Operation: 58-20=38, Resulting Numbers: [56, 38]
Generated Node #0,0,4: 50:[56, 38] Operation: 58-20=38
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 50:[20, 2], Operations: ['92-36=56', '58-56=2']
Exploring Operation: 20-2=18, Resulting Numbers: [18]
18,50 unequal: No Solution
Exploring Operation: 20*2=40, Resulting Numbers: [40]
40,50 unequal: No Solution
Exploring Operation: 20/2=10, Resulting Numbers: [10]
10,50 unequal: No Solution
Exploring Operation: 20+2=22, Resulting Numbers: [22]
22,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 50:[56, 38], Operations: ['92-36=56', '58-20=38']
Exploring Operation: 56+38=94, Resulting Numbers: [94]
94,50 unequal: No Solution
Exploring Operation: 56-38=18, Resulting Numbers: [18]
18,50 unequal: No Solution
Exploring Operation: 56*38=2128, Resulting Numbers: [2128]
2128,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 50:[58, 36], Operations: ['92-36=56', '56-20=36']
Exploring Operation: 58*36=2088, Resulting Numbers: [2088]
2088,50 unequal: No Solution
Exploring Operation: 58-36=22, Resulting Numbers: [22]
22,50 unequal: No Solution
Exploring Operation: 58+36=94, Resulting Numbers: [94]
94,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 50:[56, 78], Operations: ['92-36=56', '20+58=78']
Exploring Operation: 56*78=4368, Resulting Numbers: [4368]
4368,50 unequal: No Solution
Exploring Operation: 78-56=22, Resulting Numbers: [22]
22,50 unequal: No Solution
Exploring Operation: 56+78=134, Resulting Numbers: [134]
134,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 50:[58, 76], Operations: ['92-36=56', '20+56=76']
Exploring Operation: 58*76=4408, Resulting Numbers: [4408]
4408,50 unequal: No Solution
Exploring Operation: 76-58=18, Resulting Numbers: [18]
18,50 unequal: No Solution
Exploring Operation: 58+76=134, Resulting Numbers: [134]
134,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 50:[20, 36, 34], Operations: ['92-58=34']
Exploring Operation: 36-34=2, Resulting Numbers: [20, 2]
Generated Node #0,1,0: 50:[20, 2] Operation: 36-34=2
Exploring Operation: 34-20=14, Resulting Numbers: [36, 14]
Generated Node #0,1,1: 50:[36, 14] Operation: 34-20=14
Exploring Operation: 20+36=56, Resulting Numbers: [34, 56]
Generated Node #0,1,2: 50:[34, 56] Operation: 20+36=56
Exploring Operation: 36-20=16, Resulting Numbers: [34, 16]
Generated Node #0,1,3: 50:[34, 16] Operation: 36-20=16
Exploring Operation: 20+34=54, Resulting Numbers: [36, 54]
Generated Node #0,1,4: 50:[36, 54] Operation: 20+34=54
Moving to Node #0,3
Current State: 50:[58, 36, 72], Operations: ['92-20=72']
Exploring Operation: 72/36=2, Resulting Numbers: [58, 2]
Generated Node #0,3,0: 50:[58, 2] Operation: 72/36=2
Exploring Operation: 58-36=22, Resulting Numbers: [72, 22]
Generated Node #0,3,1: 50:[72, 22] Operation: 58-36=22
Exploring Operation: 58+36=94, Resulting Numbers: [72, 94]
Generated Node #0,3,2: 50:[72, 94] Operation: 58+36=94
Exploring Operation: 72-36=36, Resulting Numbers: [58, 36]
Generated Node #0,3,3: 50:[58, 36] Operation: 72-36=36
Exploring Operation: 72-58=14, Resulting Numbers: [36, 14]
Generated Node #0,3,4: 50:[36, 14] Operation: 72-58=14
Moving to Node #0,2
Current State: 50:[20, 92, 22], Operations: ['58-36=22']
Exploring Operation: 20+92=112, Resulting Numbers: [22, 112]
Generated Node #0,2,0: 50:[22, 112] Operation: 20+92=112
Exploring Operation: 92-22=70, Resulting Numbers: [20, 70]
Generated Node #0,2,1: 50:[20, 70] Operation: 92-22=70
Exploring Operation: 92-20=72, Resulting Numbers: [22, 72]
Generated Node #0,2,2: 50:[22, 72] Operation: 92-20=72
Exploring Operation: 20+22=42, Resulting Numbers: [92, 42]
Generated Node #0,2,3: 50:[92, 42] Operation: 20+22=42
Exploring Operation: 22-20=2, Resulting Numbers: [92, 2]
Generated Node #0,2,4: 50:[92, 2] Operation: 22-20=2
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 50:[20, 70], Operations: ['58-36=22', '92-22=70']
Exploring Operation: 20+70=90, Resulting Numbers: [90]
90,50 unequal: No Solution
Exploring Operation: 20*70=1400, Resulting Numbers: [1400]
1400,50 unequal: No Solution
Exploring Operation: 70-20=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Moving to Node #0
Current State: 50:[20, 58, 36, 92], Operations: []
Exploring Operation: 58-36=22, Resulting Numbers: [20, 92, 22]
Generated Node #0,2: 50:[20, 92, 22] Operation: 58-36=22
Moving to Node #0,2
Current State: 50:[20, 92, 22], Operations: ['58-36=22']
Exploring Operation: 92-22=70, Resulting Numbers: [20, 70]
Generated Node #0,2,1: 50:[20, 70] Operation: 92-22=70
Moving to Node #0,2,1
Current State: 50:[20, 70], Operations: ['58-36=22', '92-22=70']
Exploring Operation: 70-20=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Exit Sub Search at level 1
| 0.958333 | hs_5 | mult_heuristic |
[
29,
31,
25,
6
] | 29 | [
"29+31=60",
"25+6=31",
"60-31=29"
] | Current State: 29:[29, 31, 25, 6], Operations: []
Exploring Operation: 29+31=60, Resulting Numbers: [25, 6, 60]
Generated Node #2: [25, 6, 60] from Operation: 29+31=60
Current State: 29:[25, 6, 60], Operations: ['29+31=60']
Exploring Operation: 25+6=31, Resulting Numbers: [60, 31]
Generated Node #3: [60, 31] from Operation: 25+6=31
Current State: 29:[60, 31], Operations: ['29+31=60', '25+6=31']
Exploring Operation: 60-31=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[29, 31, 25, 6], Operations: []
Exploring Operation: 25+6=31, Resulting Numbers: [29, 31, 31]
Generated Node #0,0: 29:[29, 31, 31] Operation: 25+6=31
Start Sub Search at level 1: Moving to Node #0,0
Current State: 29:[29, 31, 31], Operations: ['25+6=31']
Exploring Operation: 31/31=1, Resulting Numbers: [29, 1]
Generated Node #0,0,0: 29:[29, 1] Operation: 31/31=1
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 29:[29, 1], Operations: ['25+6=31', '31/31=1']
Exploring Operation: 29*1=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Moving to Node #0
Current State: 29:[29, 31, 25, 6], Operations: []
Exploring Operation: 25+6=31, Resulting Numbers: [29, 31, 31]
Generated Node #0,0: 29:[29, 31, 31] Operation: 25+6=31
Moving to Node #0,0
Current State: 29:[29, 31, 31], Operations: ['25+6=31']
Exploring Operation: 31/31=1, Resulting Numbers: [29, 1]
Generated Node #0,0,0: 29:[29, 1] Operation: 31/31=1
Moving to Node #0,0,0
Current State: 29:[29, 1], Operations: ['25+6=31', '31/31=1']
Exploring Operation: 29*1=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
76,
18,
1,
36
] | 76 | [
"36/18=2",
"2-1=1",
"76*1=76"
] | Current State: 76:[76, 18, 1, 36], Operations: []
Exploring Operation: 36/18=2, Resulting Numbers: [76, 1, 2]
Generated Node #2: [76, 1, 2] from Operation: 36/18=2
Current State: 76:[76, 1, 2], Operations: ['36/18=2']
Exploring Operation: 2-1=1, Resulting Numbers: [76, 1]
Generated Node #3: [76, 1] from Operation: 2-1=1
Current State: 76:[76, 1], Operations: ['36/18=2', '2-1=1']
Exploring Operation: 76*1=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[76, 18, 1, 36], Operations: []
Exploring Operation: 36/18=2, Resulting Numbers: [76, 1, 2]
Generated Node #0,0: 76:[76, 1, 2] Operation: 36/18=2
Exploring Operation: 18+1=19, Resulting Numbers: [76, 36, 19]
Generated Node #0,1: 76:[76, 36, 19] Operation: 18+1=19
Exploring Operation: 1+36=37, Resulting Numbers: [76, 18, 37]
Generated Node #0,2: 76:[76, 18, 37] Operation: 1+36=37
Exploring Operation: 76*1=76, Resulting Numbers: [18, 36, 76]
Generated Node #0,3: 76:[18, 36, 76] Operation: 76*1=76
Exploring Operation: 36-18=18, Resulting Numbers: [76, 1, 18]
Generated Node #0,4: 76:[76, 1, 18] Operation: 36-18=18
Moving to Node #0,0
Current State: 76:[76, 1, 2], Operations: ['36/18=2']
Exploring Operation: 76/1=76, Resulting Numbers: [2, 76]
Generated Node #0,0,0: 76:[2, 76] Operation: 76/1=76
Exploring Operation: 76+1=77, Resulting Numbers: [2, 77]
Generated Node #0,0,1: 76:[2, 77] Operation: 76+1=77
Exploring Operation: 2/1=2, Resulting Numbers: [76, 2]
Generated Node #0,0,2: 76:[76, 2] Operation: 2/1=2
Exploring Operation: 76*1=76, Resulting Numbers: [2, 76]
Generated Node #0,0,3: 76:[2, 76] Operation: 76*1=76
Exploring Operation: 1*2=2, Resulting Numbers: [76, 2]
Generated Node #0,0,4: 76:[76, 2] Operation: 1*2=2
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 76:[2, 76], Operations: ['36/18=2', '76/1=76']
Exploring Operation: 76-2=74, Resulting Numbers: [74]
74,76 unequal: No Solution
Exploring Operation: 2*76=152, Resulting Numbers: [152]
152,76 unequal: No Solution
Exploring Operation: 2+76=78, Resulting Numbers: [78]
78,76 unequal: No Solution
Exploring Operation: 76/2=38, Resulting Numbers: [38]
38,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 76:[76, 2], Operations: ['36/18=2', '2/1=2']
Exploring Operation: 76*2=152, Resulting Numbers: [152]
152,76 unequal: No Solution
Exploring Operation: 76-2=74, Resulting Numbers: [74]
74,76 unequal: No Solution
Exploring Operation: 76/2=38, Resulting Numbers: [38]
38,76 unequal: No Solution
Exploring Operation: 76+2=78, Resulting Numbers: [78]
78,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 76:[2, 76], Operations: ['36/18=2', '76*1=76']
Exploring Operation: 2*76=152, Resulting Numbers: [152]
152,76 unequal: No Solution
Exploring Operation: 2+76=78, Resulting Numbers: [78]
78,76 unequal: No Solution
Exploring Operation: 76-2=74, Resulting Numbers: [74]
74,76 unequal: No Solution
Exploring Operation: 76/2=38, Resulting Numbers: [38]
38,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 76:[76, 2], Operations: ['36/18=2', '1*2=2']
Exploring Operation: 76+2=78, Resulting Numbers: [78]
78,76 unequal: No Solution
Exploring Operation: 76*2=152, Resulting Numbers: [152]
152,76 unequal: No Solution
Exploring Operation: 76/2=38, Resulting Numbers: [38]
38,76 unequal: No Solution
Exploring Operation: 76-2=74, Resulting Numbers: [74]
74,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 76:[2, 77], Operations: ['36/18=2', '76+1=77']
Exploring Operation: 77-2=75, Resulting Numbers: [75]
75,76 unequal: No Solution
Exploring Operation: 2*77=154, Resulting Numbers: [154]
154,76 unequal: No Solution
Exploring Operation: 2+77=79, Resulting Numbers: [79]
79,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 76:[76, 18, 37], Operations: ['1+36=37']
Exploring Operation: 18+37=55, Resulting Numbers: [76, 55]
Generated Node #0,2,0: 76:[76, 55] Operation: 18+37=55
Exploring Operation: 76-18=58, Resulting Numbers: [37, 58]
Generated Node #0,2,1: 76:[37, 58] Operation: 76-18=58
Exploring Operation: 76+18=94, Resulting Numbers: [37, 94]
Generated Node #0,2,2: 76:[37, 94] Operation: 76+18=94
Exploring Operation: 37-18=19, Resulting Numbers: [76, 19]
Generated Node #0,2,3: 76:[76, 19] Operation: 37-18=19
Exploring Operation: 76-37=39, Resulting Numbers: [18, 39]
Generated Node #0,2,4: 76:[18, 39] Operation: 76-37=39
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 76:[76, 19], Operations: ['1+36=37', '37-18=19']
Exploring Operation: 76*19=1444, Resulting Numbers: [1444]
1444,76 unequal: No Solution
Exploring Operation: 76-19=57, Resulting Numbers: [57]
57,76 unequal: No Solution
Exploring Operation: 76/19=4, Resulting Numbers: [4]
4,76 unequal: No Solution
Exploring Operation: 76+19=95, Resulting Numbers: [95]
95,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 76:[18, 39], Operations: ['1+36=37', '76-37=39']
Exploring Operation: 39-18=21, Resulting Numbers: [21]
21,76 unequal: No Solution
Exploring Operation: 18+39=57, Resulting Numbers: [57]
57,76 unequal: No Solution
Exploring Operation: 18*39=702, Resulting Numbers: [702]
702,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 76:[76, 55], Operations: ['1+36=37', '18+37=55']
Exploring Operation: 76-55=21, Resulting Numbers: [21]
21,76 unequal: No Solution
Exploring Operation: 76*55=4180, Resulting Numbers: [4180]
4180,76 unequal: No Solution
Exploring Operation: 76+55=131, Resulting Numbers: [131]
131,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 76:[37, 58], Operations: ['1+36=37', '76-18=58']
Exploring Operation: 37+58=95, Resulting Numbers: [95]
95,76 unequal: No Solution
Exploring Operation: 37*58=2146, Resulting Numbers: [2146]
2146,76 unequal: No Solution
Exploring Operation: 58-37=21, Resulting Numbers: [21]
21,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 76:[37, 94], Operations: ['1+36=37', '76+18=94']
Exploring Operation: 37*94=3478, Resulting Numbers: [3478]
3478,76 unequal: No Solution
Exploring Operation: 94-37=57, Resulting Numbers: [57]
57,76 unequal: No Solution
Exploring Operation: 37+94=131, Resulting Numbers: [131]
131,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 76:[76, 36, 19], Operations: ['18+1=19']
Exploring Operation: 36+19=55, Resulting Numbers: [76, 55]
Generated Node #0,1,0: 76:[76, 55] Operation: 36+19=55
Exploring Operation: 76/19=4, Resulting Numbers: [36, 4]
Generated Node #0,1,1: 76:[36, 4] Operation: 76/19=4
Exploring Operation: 36-19=17, Resulting Numbers: [76, 17]
Generated Node #0,1,2: 76:[76, 17] Operation: 36-19=17
Exploring Operation: 76+19=95, Resulting Numbers: [36, 95]
Generated Node #0,1,3: 76:[36, 95] Operation: 76+19=95
Exploring Operation: 76-36=40, Resulting Numbers: [19, 40]
Generated Node #0,1,4: 76:[19, 40] Operation: 76-36=40
Moving to Node #0,4
Current State: 76:[76, 1, 18], Operations: ['36-18=18']
Exploring Operation: 1+18=19, Resulting Numbers: [76, 19]
Generated Node #0,4,0: 76:[76, 19] Operation: 1+18=19
Exploring Operation: 18/1=18, Resulting Numbers: [76, 18]
Generated Node #0,4,1: 76:[76, 18] Operation: 18/1=18
Exploring Operation: 76/1=76, Resulting Numbers: [18, 76]
Generated Node #0,4,2: 76:[18, 76] Operation: 76/1=76
Exploring Operation: 76*1=76, Resulting Numbers: [18, 76]
Generated Node #0,4,3: 76:[18, 76] Operation: 76*1=76
Exploring Operation: 1*18=18, Resulting Numbers: [76, 18]
Generated Node #0,4,4: 76:[76, 18] Operation: 1*18=18
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 76:[76, 19], Operations: ['36-18=18', '1+18=19']
Exploring Operation: 76+19=95, Resulting Numbers: [95]
95,76 unequal: No Solution
Exploring Operation: 76*19=1444, Resulting Numbers: [1444]
1444,76 unequal: No Solution
Exploring Operation: 76-19=57, Resulting Numbers: [57]
57,76 unequal: No Solution
Exploring Operation: 76/19=4, Resulting Numbers: [4]
4,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 76:[76, 18], Operations: ['36-18=18', '18/1=18']
Exploring Operation: 76*18=1368, Resulting Numbers: [1368]
1368,76 unequal: No Solution
Exploring Operation: 76+18=94, Resulting Numbers: [94]
94,76 unequal: No Solution
Exploring Operation: 76-18=58, Resulting Numbers: [58]
58,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 76:[18, 76], Operations: ['36-18=18', '76/1=76']
Exploring Operation: 18*76=1368, Resulting Numbers: [1368]
1368,76 unequal: No Solution
Exploring Operation: 18+76=94, Resulting Numbers: [94]
94,76 unequal: No Solution
Exploring Operation: 76-18=58, Resulting Numbers: [58]
58,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 76:[18, 76], Operations: ['36-18=18', '76*1=76']
Exploring Operation: 18+76=94, Resulting Numbers: [94]
94,76 unequal: No Solution
Exploring Operation: 76-18=58, Resulting Numbers: [58]
58,76 unequal: No Solution
Exploring Operation: 18*76=1368, Resulting Numbers: [1368]
1368,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 76:[76, 18], Operations: ['36-18=18', '1*18=18']
Exploring Operation: 76-18=58, Resulting Numbers: [58]
58,76 unequal: No Solution
Exploring Operation: 76*18=1368, Resulting Numbers: [1368]
1368,76 unequal: No Solution
Exploring Operation: 76+18=94, Resulting Numbers: [94]
94,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 76:[18, 36, 76], Operations: ['76*1=76']
Exploring Operation: 18+36=54, Resulting Numbers: [76, 54]
Generated Node #0,3,0: 76:[76, 54] Operation: 18+36=54
Exploring Operation: 36-18=18, Resulting Numbers: [76, 18]
Generated Node #0,3,1: 76:[76, 18] Operation: 36-18=18
Exploring Operation: 18+76=94, Resulting Numbers: [36, 94]
Generated Node #0,3,2: 76:[36, 94] Operation: 18+76=94
Exploring Operation: 76-36=40, Resulting Numbers: [18, 40]
Generated Node #0,3,3: 76:[18, 40] Operation: 76-36=40
Exploring Operation: 36/18=2, Resulting Numbers: [76, 2]
Generated Node #0,3,4: 76:[76, 2] Operation: 36/18=2
Moving to Node #0,3,4
Current State: 76:[76, 2], Operations: ['76*1=76', '36/18=2']
Exploring Operation: 76-2=74, Resulting Numbers: [74]
74,76 unequal: No Solution
Exploring Operation: 76*2=152, Resulting Numbers: [152]
152,76 unequal: No Solution
Exploring Operation: 76/2=38, Resulting Numbers: [38]
38,76 unequal: No Solution
Exploring Operation: 76+2=78, Resulting Numbers: [78]
78,76 unequal: No Solution
Moving to Node #0,3,1
Current State: 76:[76, 18], Operations: ['76*1=76', '36-18=18']
Exploring Operation: 76-18=58, Resulting Numbers: [58]
58,76 unequal: No Solution
Exploring Operation: 76+18=94, Resulting Numbers: [94]
94,76 unequal: No Solution
Exploring Operation: 76*18=1368, Resulting Numbers: [1368]
1368,76 unequal: No Solution
Moving to Node #0,1,1
Current State: 76:[36, 4], Operations: ['18+1=19', '76/19=4']
Exploring Operation: 36*4=144, Resulting Numbers: [144]
144,76 unequal: No Solution
Exploring Operation: 36+4=40, Resulting Numbers: [40]
40,76 unequal: No Solution
Exploring Operation: 36/4=9, Resulting Numbers: [9]
9,76 unequal: No Solution
Exploring Operation: 36-4=32, Resulting Numbers: [32]
32,76 unequal: No Solution
Moving to Node #0,1,4
Current State: 76:[19, 40], Operations: ['18+1=19', '76-36=40']
Exploring Operation: 19*40=760, Resulting Numbers: [760]
760,76 unequal: No Solution
Exploring Operation: 19+40=59, Resulting Numbers: [59]
59,76 unequal: No Solution
Exploring Operation: 40-19=21, Resulting Numbers: [21]
21,76 unequal: No Solution
Moving to Node #0,1,2
Current State: 76:[76, 17], Operations: ['18+1=19', '36-19=17']
Exploring Operation: 76+17=93, Resulting Numbers: [93]
93,76 unequal: No Solution
Exploring Operation: 76-17=59, Resulting Numbers: [59]
59,76 unequal: No Solution
Exploring Operation: 76*17=1292, Resulting Numbers: [1292]
1292,76 unequal: No Solution
Moving to Node #0,3,3
Current State: 76:[18, 40], Operations: ['76*1=76', '76-36=40']
Exploring Operation: 18*40=720, Resulting Numbers: [720]
720,76 unequal: No Solution
Exploring Operation: 18+40=58, Resulting Numbers: [58]
58,76 unequal: No Solution
Exploring Operation: 40-18=22, Resulting Numbers: [22]
22,76 unequal: No Solution
Moving to Node #0,3,0
Current State: 76:[76, 54], Operations: ['76*1=76', '18+36=54']
Exploring Operation: 76+54=130, Resulting Numbers: [130]
130,76 unequal: No Solution
Exploring Operation: 76*54=4104, Resulting Numbers: [4104]
4104,76 unequal: No Solution
Exploring Operation: 76-54=22, Resulting Numbers: [22]
22,76 unequal: No Solution
Moving to Node #0,1,0
Current State: 76:[76, 55], Operations: ['18+1=19', '36+19=55']
Exploring Operation: 76+55=131, Resulting Numbers: [131]
131,76 unequal: No Solution
Exploring Operation: 76-55=21, Resulting Numbers: [21]
21,76 unequal: No Solution
Exploring Operation: 76*55=4180, Resulting Numbers: [4180]
4180,76 unequal: No Solution
Moving to Node #0,3,2
Current State: 76:[36, 94], Operations: ['76*1=76', '18+76=94']
Exploring Operation: 36+94=130, Resulting Numbers: [130]
130,76 unequal: No Solution
Exploring Operation: 36*94=3384, Resulting Numbers: [3384]
3384,76 unequal: No Solution
Exploring Operation: 94-36=58, Resulting Numbers: [58]
58,76 unequal: No Solution
Moving to Node #0,1,3
Current State: 76:[36, 95], Operations: ['18+1=19', '76+19=95']
Exploring Operation: 95-36=59, Resulting Numbers: [59]
59,76 unequal: No Solution
Exploring Operation: 36*95=3420, Resulting Numbers: [3420]
3420,76 unequal: No Solution
Exploring Operation: 36+95=131, Resulting Numbers: [131]
131,76 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
87,
65,
97,
8
] | 52 | [
"97-87=10",
"65*8=520",
"520/10=52"
] | Current State: 52:[87, 65, 97, 8], Operations: []
Exploring Operation: 97-87=10, Resulting Numbers: [65, 8, 10]
Generated Node #2: [65, 8, 10] from Operation: 97-87=10
Current State: 52:[65, 8, 10], Operations: ['97-87=10']
Exploring Operation: 65*8=520, Resulting Numbers: [10, 520]
Generated Node #3: [10, 520] from Operation: 65*8=520
Current State: 52:[10, 520], Operations: ['97-87=10', '65*8=520']
Exploring Operation: 520/10=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[87, 65, 97, 8], Operations: []
Exploring Operation: 97-87=10, Resulting Numbers: [65, 8, 10]
Generated Node #0,0: 52:[65, 8, 10] Operation: 97-87=10
Exploring Operation: 97-65=32, Resulting Numbers: [87, 8, 32]
Generated Node #0,1: 52:[87, 8, 32] Operation: 97-65=32
Exploring Operation: 87-8=79, Resulting Numbers: [65, 97, 79]
Generated Node #0,2: 52:[65, 97, 79] Operation: 87-8=79
Exploring Operation: 87-65=22, Resulting Numbers: [97, 8, 22]
Generated Node #0,3: 52:[97, 8, 22] Operation: 87-65=22
Moving to Node #0,0
Current State: 52:[65, 8, 10], Operations: ['97-87=10']
Exploring Operation: 10-8=2, Resulting Numbers: [65, 2]
Generated Node #0,0,0: 52:[65, 2] Operation: 10-8=2
Exploring Operation: 65-8=57, Resulting Numbers: [10, 57]
Generated Node #0,0,1: 52:[10, 57] Operation: 65-8=57
Exploring Operation: 65-10=55, Resulting Numbers: [8, 55]
Generated Node #0,0,2: 52:[8, 55] Operation: 65-10=55
Exploring Operation: 8+10=18, Resulting Numbers: [65, 18]
Generated Node #0,0,3: 52:[65, 18] Operation: 8+10=18
Moving to Node #0,1
Current State: 52:[87, 8, 32], Operations: ['97-65=32']
Exploring Operation: 32-8=24, Resulting Numbers: [87, 24]
Generated Node #0,1,0: 52:[87, 24] Operation: 32-8=24
Exploring Operation: 87-32=55, Resulting Numbers: [8, 55]
Generated Node #0,1,1: 52:[8, 55] Operation: 87-32=55
Exploring Operation: 32/8=4, Resulting Numbers: [87, 4]
Generated Node #0,1,2: 52:[87, 4] Operation: 32/8=4
Exploring Operation: 87-8=79, Resulting Numbers: [32, 79]
Generated Node #0,1,3: 52:[32, 79] Operation: 87-8=79
Moving to Node #0,3
Current State: 52:[97, 8, 22], Operations: ['87-65=22']
Exploring Operation: 8+22=30, Resulting Numbers: [97, 30]
Generated Node #0,3,0: 52:[97, 30] Operation: 8+22=30
Exploring Operation: 22-8=14, Resulting Numbers: [97, 14]
Generated Node #0,3,1: 52:[97, 14] Operation: 22-8=14
Exploring Operation: 97-22=75, Resulting Numbers: [8, 75]
Generated Node #0,3,2: 52:[8, 75] Operation: 97-22=75
Exploring Operation: 97-8=89, Resulting Numbers: [22, 89]
Generated Node #0,3,3: 52:[22, 89] Operation: 97-8=89
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 52:[8, 75], Operations: ['87-65=22', '97-22=75']
Exploring Operation: 75-8=67, Resulting Numbers: [67]
67,52 unequal: No Solution
Exploring Operation: 8*75=600, Resulting Numbers: [600]
600,52 unequal: No Solution
Exploring Operation: 8+75=83, Resulting Numbers: [83]
83,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 52:[22, 89], Operations: ['87-65=22', '97-8=89']
Exploring Operation: 89-22=67, Resulting Numbers: [67]
67,52 unequal: No Solution
Exploring Operation: 22+89=111, Resulting Numbers: [111]
111,52 unequal: No Solution
Exploring Operation: 22*89=1958, Resulting Numbers: [1958]
1958,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 52:[97, 14], Operations: ['87-65=22', '22-8=14']
Exploring Operation: 97-14=83, Resulting Numbers: [83]
83,52 unequal: No Solution
Exploring Operation: 97+14=111, Resulting Numbers: [111]
111,52 unequal: No Solution
Exploring Operation: 97*14=1358, Resulting Numbers: [1358]
1358,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 52:[97, 30], Operations: ['87-65=22', '8+22=30']
Exploring Operation: 97+30=127, Resulting Numbers: [127]
127,52 unequal: No Solution
Exploring Operation: 97-30=67, Resulting Numbers: [67]
67,52 unequal: No Solution
Exploring Operation: 97*30=2910, Resulting Numbers: [2910]
2910,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 52:[65, 97, 79], Operations: ['87-8=79']
Exploring Operation: 97-79=18, Resulting Numbers: [65, 18]
Generated Node #0,2,0: 52:[65, 18] Operation: 97-79=18
Exploring Operation: 65+97=162, Resulting Numbers: [79, 162]
Generated Node #0,2,1: 52:[79, 162] Operation: 65+97=162
Exploring Operation: 79-65=14, Resulting Numbers: [97, 14]
Generated Node #0,2,2: 52:[97, 14] Operation: 79-65=14
Exploring Operation: 97-65=32, Resulting Numbers: [79, 32]
Generated Node #0,2,3: 52:[79, 32] Operation: 97-65=32
Moving to Node #0,0,2
Current State: 52:[8, 55], Operations: ['97-87=10', '65-10=55']
Exploring Operation: 8+55=63, Resulting Numbers: [63]
63,52 unequal: No Solution
Exploring Operation: 55-8=47, Resulting Numbers: [47]
47,52 unequal: No Solution
Exploring Operation: 8*55=440, Resulting Numbers: [440]
440,52 unequal: No Solution
Moving to Node #0,1,1
Current State: 52:[8, 55], Operations: ['97-65=32', '87-32=55']
Exploring Operation: 8+55=63, Resulting Numbers: [63]
63,52 unequal: No Solution
Exploring Operation: 55-8=47, Resulting Numbers: [47]
47,52 unequal: No Solution
Exploring Operation: 8*55=440, Resulting Numbers: [440]
440,52 unequal: No Solution
Moving to Node #0,0,1
Current State: 52:[10, 57], Operations: ['97-87=10', '65-8=57']
Exploring Operation: 10*57=570, Resulting Numbers: [570]
570,52 unequal: No Solution
Exploring Operation: 57-10=47, Resulting Numbers: [47]
47,52 unequal: No Solution
Exploring Operation: 10+57=67, Resulting Numbers: [67]
67,52 unequal: No Solution
Moving to Node #0,0,0
Current State: 52:[65, 2], Operations: ['97-87=10', '10-8=2']
Exploring Operation: 65+2=67, Resulting Numbers: [67]
67,52 unequal: No Solution
Exploring Operation: 65*2=130, Resulting Numbers: [130]
130,52 unequal: No Solution
Exploring Operation: 65-2=63, Resulting Numbers: [63]
63,52 unequal: No Solution
Moving to Node #0,0,3
Current State: 52:[65, 18], Operations: ['97-87=10', '8+10=18']
Exploring Operation: 65+18=83, Resulting Numbers: [83]
83,52 unequal: No Solution
Exploring Operation: 65-18=47, Resulting Numbers: [47]
47,52 unequal: No Solution
Exploring Operation: 65*18=1170, Resulting Numbers: [1170]
1170,52 unequal: No Solution
Moving to Node #0,2,0
Current State: 52:[65, 18], Operations: ['87-8=79', '97-79=18']
Exploring Operation: 65-18=47, Resulting Numbers: [47]
47,52 unequal: No Solution
Exploring Operation: 65+18=83, Resulting Numbers: [83]
83,52 unequal: No Solution
Exploring Operation: 65*18=1170, Resulting Numbers: [1170]
1170,52 unequal: No Solution
Moving to Node #0,1,3
Current State: 52:[32, 79], Operations: ['97-65=32', '87-8=79']
Exploring Operation: 32*79=2528, Resulting Numbers: [2528]
2528,52 unequal: No Solution
Exploring Operation: 79-32=47, Resulting Numbers: [47]
47,52 unequal: No Solution
Exploring Operation: 32+79=111, Resulting Numbers: [111]
111,52 unequal: No Solution
Moving to Node #0,2,3
Current State: 52:[79, 32], Operations: ['87-8=79', '97-65=32']
Exploring Operation: 79*32=2528, Resulting Numbers: [2528]
2528,52 unequal: No Solution
Exploring Operation: 79-32=47, Resulting Numbers: [47]
47,52 unequal: No Solution
Exploring Operation: 79+32=111, Resulting Numbers: [111]
111,52 unequal: No Solution
Moving to Node #0,1,2
Current State: 52:[87, 4], Operations: ['97-65=32', '32/8=4']
Exploring Operation: 87+4=91, Resulting Numbers: [91]
91,52 unequal: No Solution
Exploring Operation: 87-4=83, Resulting Numbers: [83]
83,52 unequal: No Solution
Exploring Operation: 87*4=348, Resulting Numbers: [348]
348,52 unequal: No Solution
Moving to Node #0,1,0
Current State: 52:[87, 24], Operations: ['97-65=32', '32-8=24']
Exploring Operation: 87+24=111, Resulting Numbers: [111]
111,52 unequal: No Solution
Exploring Operation: 87-24=63, Resulting Numbers: [63]
63,52 unequal: No Solution
Exploring Operation: 87*24=2088, Resulting Numbers: [2088]
2088,52 unequal: No Solution
Moving to Node #0,2,2
Current State: 52:[97, 14], Operations: ['87-8=79', '79-65=14']
Exploring Operation: 97*14=1358, Resulting Numbers: [1358]
1358,52 unequal: No Solution
Exploring Operation: 97-14=83, Resulting Numbers: [83]
83,52 unequal: No Solution
Exploring Operation: 97+14=111, Resulting Numbers: [111]
111,52 unequal: No Solution
Moving to Node #0,2,1
Current State: 52:[79, 162], Operations: ['87-8=79', '65+97=162']
Exploring Operation: 79+162=241, Resulting Numbers: [241]
241,52 unequal: No Solution
Exploring Operation: 162-79=83, Resulting Numbers: [83]
83,52 unequal: No Solution
Exploring Operation: 79*162=12798, Resulting Numbers: [12798]
12798,52 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
70,
47,
53,
4
] | 60 | [
"70+47=117",
"53+4=57",
"117-57=60"
] | Current State: 60:[70, 47, 53, 4], Operations: []
Exploring Operation: 70+47=117, Resulting Numbers: [53, 4, 117]
Generated Node #2: [53, 4, 117] from Operation: 70+47=117
Current State: 60:[53, 4, 117], Operations: ['70+47=117']
Exploring Operation: 53+4=57, Resulting Numbers: [117, 57]
Generated Node #3: [117, 57] from Operation: 53+4=57
Current State: 60:[117, 57], Operations: ['70+47=117', '53+4=57']
Exploring Operation: 117-57=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[70, 47, 53, 4], Operations: []
Exploring Operation: 70-47=23, Resulting Numbers: [53, 4, 23]
Generated Node #0,0: 60:[53, 4, 23] Operation: 70-47=23
Start Sub Search at level 1: Moving to Node #0,0
Current State: 60:[53, 4, 23], Operations: ['70-47=23']
Exploring Operation: 53-23=30, Resulting Numbers: [4, 30]
Generated Node #0,0,0: 60:[4, 30] Operation: 53-23=30
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 60:[4, 30], Operations: ['70-47=23', '53-23=30']
Exploring Operation: 4+30=34, Resulting Numbers: [34]
34,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
66,
90,
92,
43
] | 99 | [
"92+43=135",
"66*135=8910",
"8910/90=99"
] | Current State: 99:[66, 90, 92, 43], Operations: []
Exploring Operation: 92+43=135, Resulting Numbers: [66, 90, 135]
Generated Node #2: [66, 90, 135] from Operation: 92+43=135
Current State: 99:[66, 90, 135], Operations: ['92+43=135']
Exploring Operation: 66*135=8910, Resulting Numbers: [90, 8910]
Generated Node #3: [90, 8910] from Operation: 66*135=8910
Current State: 99:[90, 8910], Operations: ['92+43=135', '66*135=8910']
Exploring Operation: 8910/90=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[66, 90, 92, 43], Operations: []
Exploring Operation: 92-66=26, Resulting Numbers: [90, 43, 26]
Generated Node #0,0: 99:[90, 43, 26] Operation: 92-66=26
Exploring Operation: 90-66=24, Resulting Numbers: [92, 43, 24]
Generated Node #0,1: 99:[92, 43, 24] Operation: 90-66=24
Exploring Operation: 92-90=2, Resulting Numbers: [66, 43, 2]
Generated Node #0,2: 99:[66, 43, 2] Operation: 92-90=2
Exploring Operation: 66+43=109, Resulting Numbers: [90, 92, 109]
Generated Node #0,3: 99:[90, 92, 109] Operation: 66+43=109
Exploring Operation: 66-43=23, Resulting Numbers: [90, 92, 23]
Generated Node #0,4: 99:[90, 92, 23] Operation: 66-43=23
Moving to Node #0,0
Current State: 99:[90, 43, 26], Operations: ['92-66=26']
Exploring Operation: 90+26=116, Resulting Numbers: [43, 116]
Generated Node #0,0,0: 99:[43, 116] Operation: 90+26=116
Exploring Operation: 90-43=47, Resulting Numbers: [26, 47]
Generated Node #0,0,1: 99:[26, 47] Operation: 90-43=47
Exploring Operation: 43+26=69, Resulting Numbers: [90, 69]
Generated Node #0,0,2: 99:[90, 69] Operation: 43+26=69
Exploring Operation: 90+43=133, Resulting Numbers: [26, 133]
Generated Node #0,0,3: 99:[26, 133] Operation: 90+43=133
Exploring Operation: 43-26=17, Resulting Numbers: [90, 17]
Generated Node #0,0,4: 99:[90, 17] Operation: 43-26=17
Moving to Node #0,3
Current State: 99:[90, 92, 109], Operations: ['66+43=109']
Exploring Operation: 90+92=182, Resulting Numbers: [109, 182]
Generated Node #0,3,0: 99:[109, 182] Operation: 90+92=182
Exploring Operation: 92-90=2, Resulting Numbers: [109, 2]
Generated Node #0,3,1: 99:[109, 2] Operation: 92-90=2
Exploring Operation: 109-92=17, Resulting Numbers: [90, 17]
Generated Node #0,3,2: 99:[90, 17] Operation: 109-92=17
Exploring Operation: 90+109=199, Resulting Numbers: [92, 199]
Generated Node #0,3,3: 99:[92, 199] Operation: 90+109=199
Exploring Operation: 109-90=19, Resulting Numbers: [92, 19]
Generated Node #0,3,4: 99:[92, 19] Operation: 109-90=19
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 99:[109, 2], Operations: ['66+43=109', '92-90=2']
Exploring Operation: 109-2=107, Resulting Numbers: [107]
107,99 unequal: No Solution
Exploring Operation: 109+2=111, Resulting Numbers: [111]
111,99 unequal: No Solution
Exploring Operation: 109*2=218, Resulting Numbers: [218]
218,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 99:[90, 17], Operations: ['66+43=109', '109-92=17']
Exploring Operation: 90*17=1530, Resulting Numbers: [1530]
1530,99 unequal: No Solution
Exploring Operation: 90+17=107, Resulting Numbers: [107]
107,99 unequal: No Solution
Exploring Operation: 90-17=73, Resulting Numbers: [73]
73,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 99:[92, 19], Operations: ['66+43=109', '109-90=19']
Exploring Operation: 92+19=111, Resulting Numbers: [111]
111,99 unequal: No Solution
Exploring Operation: 92*19=1748, Resulting Numbers: [1748]
1748,99 unequal: No Solution
Exploring Operation: 92-19=73, Resulting Numbers: [73]
73,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 99:[109, 182], Operations: ['66+43=109', '90+92=182']
Exploring Operation: 109*182=19838, Resulting Numbers: [19838]
19838,99 unequal: No Solution
Exploring Operation: 182-109=73, Resulting Numbers: [73]
73,99 unequal: No Solution
Exploring Operation: 109+182=291, Resulting Numbers: [291]
291,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 99:[92, 199], Operations: ['66+43=109', '90+109=199']
Exploring Operation: 199-92=107, Resulting Numbers: [107]
107,99 unequal: No Solution
Exploring Operation: 92*199=18308, Resulting Numbers: [18308]
18308,99 unequal: No Solution
Exploring Operation: 92+199=291, Resulting Numbers: [291]
291,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 99:[92, 43, 24], Operations: ['90-66=24']
Exploring Operation: 92-43=49, Resulting Numbers: [24, 49]
Generated Node #0,1,0: 99:[24, 49] Operation: 92-43=49
Exploring Operation: 43+24=67, Resulting Numbers: [92, 67]
Generated Node #0,1,1: 99:[92, 67] Operation: 43+24=67
Exploring Operation: 92-24=68, Resulting Numbers: [43, 68]
Generated Node #0,1,2: 99:[43, 68] Operation: 92-24=68
Exploring Operation: 43-24=19, Resulting Numbers: [92, 19]
Generated Node #0,1,3: 99:[92, 19] Operation: 43-24=19
Exploring Operation: 92+24=116, Resulting Numbers: [43, 116]
Generated Node #0,1,4: 99:[43, 116] Operation: 92+24=116
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 99:[92, 19], Operations: ['90-66=24', '43-24=19']
Exploring Operation: 92+19=111, Resulting Numbers: [111]
111,99 unequal: No Solution
Exploring Operation: 92-19=73, Resulting Numbers: [73]
73,99 unequal: No Solution
Exploring Operation: 92*19=1748, Resulting Numbers: [1748]
1748,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 99:[24, 49], Operations: ['90-66=24', '92-43=49']
Exploring Operation: 24+49=73, Resulting Numbers: [73]
73,99 unequal: No Solution
Exploring Operation: 24*49=1176, Resulting Numbers: [1176]
1176,99 unequal: No Solution
Exploring Operation: 49-24=25, Resulting Numbers: [25]
25,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 99:[43, 116], Operations: ['90-66=24', '92+24=116']
Exploring Operation: 43+116=159, Resulting Numbers: [159]
159,99 unequal: No Solution
Exploring Operation: 116-43=73, Resulting Numbers: [73]
73,99 unequal: No Solution
Exploring Operation: 43*116=4988, Resulting Numbers: [4988]
4988,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 99:[92, 67], Operations: ['90-66=24', '43+24=67']
Exploring Operation: 92-67=25, Resulting Numbers: [25]
25,99 unequal: No Solution
Exploring Operation: 92+67=159, Resulting Numbers: [159]
159,99 unequal: No Solution
Exploring Operation: 92*67=6164, Resulting Numbers: [6164]
6164,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 99:[43, 68], Operations: ['90-66=24', '92-24=68']
Exploring Operation: 68-43=25, Resulting Numbers: [25]
25,99 unequal: No Solution
Exploring Operation: 43+68=111, Resulting Numbers: [111]
111,99 unequal: No Solution
Exploring Operation: 43*68=2924, Resulting Numbers: [2924]
2924,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4
Current State: 99:[90, 92, 23], Operations: ['66-43=23']
Exploring Operation: 90+23=113, Resulting Numbers: [92, 113]
Generated Node #0,4,0: 99:[92, 113] Operation: 90+23=113
Exploring Operation: 92/23=4, Resulting Numbers: [90, 4]
Generated Node #0,4,1: 99:[90, 4] Operation: 92/23=4
Exploring Operation: 92+23=115, Resulting Numbers: [90, 115]
Generated Node #0,4,2: 99:[90, 115] Operation: 92+23=115
Exploring Operation: 90-23=67, Resulting Numbers: [92, 67]
Generated Node #0,4,3: 99:[92, 67] Operation: 90-23=67
Exploring Operation: 92-90=2, Resulting Numbers: [23, 2]
Generated Node #0,4,4: 99:[23, 2] Operation: 92-90=2
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 99:[90, 4], Operations: ['66-43=23', '92/23=4']
Exploring Operation: 90-4=86, Resulting Numbers: [86]
86,99 unequal: No Solution
Exploring Operation: 90+4=94, Resulting Numbers: [94]
94,99 unequal: No Solution
Exploring Operation: 90*4=360, Resulting Numbers: [360]
360,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 99:[23, 2], Operations: ['66-43=23', '92-90=2']
Exploring Operation: 23*2=46, Resulting Numbers: [46]
46,99 unequal: No Solution
Exploring Operation: 23-2=21, Resulting Numbers: [21]
21,99 unequal: No Solution
Exploring Operation: 23+2=25, Resulting Numbers: [25]
25,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 99:[92, 113], Operations: ['66-43=23', '90+23=113']
Exploring Operation: 92+113=205, Resulting Numbers: [205]
205,99 unequal: No Solution
Exploring Operation: 92*113=10396, Resulting Numbers: [10396]
10396,99 unequal: No Solution
Exploring Operation: 113-92=21, Resulting Numbers: [21]
21,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 99:[90, 115], Operations: ['66-43=23', '92+23=115']
Exploring Operation: 90+115=205, Resulting Numbers: [205]
205,99 unequal: No Solution
Exploring Operation: 115-90=25, Resulting Numbers: [25]
25,99 unequal: No Solution
Exploring Operation: 90*115=10350, Resulting Numbers: [10350]
10350,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 99:[92, 67], Operations: ['66-43=23', '90-23=67']
Exploring Operation: 92+67=159, Resulting Numbers: [159]
159,99 unequal: No Solution
Exploring Operation: 92*67=6164, Resulting Numbers: [6164]
6164,99 unequal: No Solution
Exploring Operation: 92-67=25, Resulting Numbers: [25]
25,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 99:[66, 43, 2], Operations: ['92-90=2']
Exploring Operation: 66+43=109, Resulting Numbers: [2, 109]
Generated Node #0,2,0: 99:[2, 109] Operation: 66+43=109
Exploring Operation: 66-2=64, Resulting Numbers: [43, 64]
Generated Node #0,2,1: 99:[43, 64] Operation: 66-2=64
Exploring Operation: 66+2=68, Resulting Numbers: [43, 68]
Generated Node #0,2,2: 99:[43, 68] Operation: 66+2=68
Exploring Operation: 66-43=23, Resulting Numbers: [2, 23]
Generated Node #0,2,3: 99:[2, 23] Operation: 66-43=23
Exploring Operation: 66/2=33, Resulting Numbers: [43, 33]
Generated Node #0,2,4: 99:[43, 33] Operation: 66/2=33
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 99:[43, 33], Operations: ['92-90=2', '66/2=33']
Exploring Operation: 43-33=10, Resulting Numbers: [10]
10,99 unequal: No Solution
Exploring Operation: 43+33=76, Resulting Numbers: [76]
76,99 unequal: No Solution
Exploring Operation: 43*33=1419, Resulting Numbers: [1419]
1419,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 99:[2, 109], Operations: ['92-90=2', '66+43=109']
Exploring Operation: 2*109=218, Resulting Numbers: [218]
218,99 unequal: No Solution
Exploring Operation: 109-2=107, Resulting Numbers: [107]
107,99 unequal: No Solution
Exploring Operation: 2+109=111, Resulting Numbers: [111]
111,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 99:[2, 23], Operations: ['92-90=2', '66-43=23']
Exploring Operation: 2*23=46, Resulting Numbers: [46]
46,99 unequal: No Solution
Exploring Operation: 2+23=25, Resulting Numbers: [25]
25,99 unequal: No Solution
Exploring Operation: 23-2=21, Resulting Numbers: [21]
21,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 99:[43, 64], Operations: ['92-90=2', '66-2=64']
Exploring Operation: 64-43=21, Resulting Numbers: [21]
21,99 unequal: No Solution
Exploring Operation: 43+64=107, Resulting Numbers: [107]
107,99 unequal: No Solution
Exploring Operation: 43*64=2752, Resulting Numbers: [2752]
2752,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 99:[43, 68], Operations: ['92-90=2', '66+2=68']
Exploring Operation: 68-43=25, Resulting Numbers: [25]
25,99 unequal: No Solution
Exploring Operation: 43*68=2924, Resulting Numbers: [2924]
2924,99 unequal: No Solution
Exploring Operation: 43+68=111, Resulting Numbers: [111]
111,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,4
Current State: 99:[90, 17], Operations: ['92-66=26', '43-26=17']
Exploring Operation: 90-17=73, Resulting Numbers: [73]
73,99 unequal: No Solution
Exploring Operation: 90+17=107, Resulting Numbers: [107]
107,99 unequal: No Solution
Exploring Operation: 90*17=1530, Resulting Numbers: [1530]
1530,99 unequal: No Solution
Moving to Node #0,0,1
Current State: 99:[26, 47], Operations: ['92-66=26', '90-43=47']
Exploring Operation: 26*47=1222, Resulting Numbers: [1222]
1222,99 unequal: No Solution
Exploring Operation: 47-26=21, Resulting Numbers: [21]
21,99 unequal: No Solution
Exploring Operation: 26+47=73, Resulting Numbers: [73]
73,99 unequal: No Solution
Moving to Node #0,0,0
Current State: 99:[43, 116], Operations: ['92-66=26', '90+26=116']
Exploring Operation: 43+116=159, Resulting Numbers: [159]
159,99 unequal: No Solution
Exploring Operation: 43*116=4988, Resulting Numbers: [4988]
4988,99 unequal: No Solution
Exploring Operation: 116-43=73, Resulting Numbers: [73]
73,99 unequal: No Solution
Moving to Node #0,0,2
Current State: 99:[90, 69], Operations: ['92-66=26', '43+26=69']
Exploring Operation: 90+69=159, Resulting Numbers: [159]
159,99 unequal: No Solution
Exploring Operation: 90-69=21, Resulting Numbers: [21]
21,99 unequal: No Solution
Exploring Operation: 90*69=6210, Resulting Numbers: [6210]
6210,99 unequal: No Solution
Moving to Node #0,0,3
Current State: 99:[26, 133], Operations: ['92-66=26', '90+43=133']
Exploring Operation: 133-26=107, Resulting Numbers: [107]
107,99 unequal: No Solution
Exploring Operation: 26+133=159, Resulting Numbers: [159]
159,99 unequal: No Solution
Exploring Operation: 26*133=3458, Resulting Numbers: [3458]
3458,99 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
29,
13,
45,
56
] | 59 | [
"29+13=42",
"45+56=101",
"101-42=59"
] | Current State: 59:[29, 13, 45, 56], Operations: []
Exploring Operation: 29+13=42, Resulting Numbers: [45, 56, 42]
Generated Node #2: [45, 56, 42] from Operation: 29+13=42
Current State: 59:[45, 56, 42], Operations: ['29+13=42']
Exploring Operation: 45+56=101, Resulting Numbers: [42, 101]
Generated Node #3: [42, 101] from Operation: 45+56=101
Current State: 59:[42, 101], Operations: ['29+13=42', '45+56=101']
Exploring Operation: 101-42=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[29, 13, 45, 56], Operations: []
Exploring Operation: 13+45=58, Resulting Numbers: [29, 56, 58]
Generated Node #0,0: 59:[29, 56, 58] Operation: 13+45=58
Exploring Operation: 29+13=42, Resulting Numbers: [45, 56, 42]
Generated Node #0,1: 59:[45, 56, 42] Operation: 29+13=42
Exploring Operation: 13+56=69, Resulting Numbers: [29, 45, 69]
Generated Node #0,2: 59:[29, 45, 69] Operation: 13+56=69
Start Sub Search at level 1: Moving to Node #0,0
Current State: 59:[29, 56, 58], Operations: ['13+45=58']
Exploring Operation: 29+58=87, Resulting Numbers: [56, 87]
Generated Node #0,0,0: 59:[56, 87] Operation: 29+58=87
Exploring Operation: 56-29=27, Resulting Numbers: [58, 27]
Generated Node #0,0,1: 59:[58, 27] Operation: 56-29=27
Exploring Operation: 29+56=85, Resulting Numbers: [58, 85]
Generated Node #0,0,2: 59:[58, 85] Operation: 29+56=85
Moving to Node #0,0,2
Current State: 59:[58, 85], Operations: ['13+45=58', '29+56=85']
Exploring Operation: 85-58=27, Resulting Numbers: [27]
27,59 unequal: No Solution
Exploring Operation: 58+85=143, Resulting Numbers: [143]
143,59 unequal: No Solution
Exploring Operation: 58*85=4930, Resulting Numbers: [4930]
4930,59 unequal: No Solution
Moving to Node #0,0,0
Current State: 59:[56, 87], Operations: ['13+45=58', '29+58=87']
Exploring Operation: 56*87=4872, Resulting Numbers: [4872]
4872,59 unequal: No Solution
Exploring Operation: 56+87=143, Resulting Numbers: [143]
143,59 unequal: No Solution
Exploring Operation: 87-56=31, Resulting Numbers: [31]
31,59 unequal: No Solution
Moving to Node #0,0,1
Current State: 59:[58, 27], Operations: ['13+45=58', '56-29=27']
Exploring Operation: 58-27=31, Resulting Numbers: [31]
31,59 unequal: No Solution
Exploring Operation: 58+27=85, Resulting Numbers: [85]
85,59 unequal: No Solution
Exploring Operation: 58*27=1566, Resulting Numbers: [1566]
1566,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 59:[45, 56, 42], Operations: ['29+13=42']
Exploring Operation: 45+42=87, Resulting Numbers: [56, 87]
Generated Node #0,1,0: 59:[56, 87] Operation: 45+42=87
Exploring Operation: 45+56=101, Resulting Numbers: [42, 101]
Generated Node #0,1,1: 59:[42, 101] Operation: 45+56=101
Exploring Operation: 56+42=98, Resulting Numbers: [45, 98]
Generated Node #0,1,2: 59:[45, 98] Operation: 56+42=98
Moving to Node #0,1,0
Current State: 59:[56, 87], Operations: ['29+13=42', '45+42=87']
Exploring Operation: 56*87=4872, Resulting Numbers: [4872]
4872,59 unequal: No Solution
Exploring Operation: 87-56=31, Resulting Numbers: [31]
31,59 unequal: No Solution
Exploring Operation: 56+87=143, Resulting Numbers: [143]
143,59 unequal: No Solution
Moving to Node #0,1,2
Current State: 59:[45, 98], Operations: ['29+13=42', '56+42=98']
Exploring Operation: 98-45=53, Resulting Numbers: [53]
53,59 unequal: No Solution
Exploring Operation: 45*98=4410, Resulting Numbers: [4410]
4410,59 unequal: No Solution
Exploring Operation: 45+98=143, Resulting Numbers: [143]
143,59 unequal: No Solution
Moving to Node #0,1,1
Current State: 59:[42, 101], Operations: ['29+13=42', '45+56=101']
Exploring Operation: 101-42=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
Moving to Node #0
Current State: 59:[29, 13, 45, 56], Operations: []
Exploring Operation: 29+13=42, Resulting Numbers: [45, 56, 42]
Generated Node #0,1: 59:[45, 56, 42] Operation: 29+13=42
Moving to Node #0,1
Current State: 59:[45, 56, 42], Operations: ['29+13=42']
Exploring Operation: 45+56=101, Resulting Numbers: [42, 101]
Generated Node #0,1,1: 59:[42, 101] Operation: 45+56=101
Moving to Node #0,1,1
Current State: 59:[42, 101], Operations: ['29+13=42', '45+56=101']
Exploring Operation: 101-42=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
Exit Sub Search at level 1
| 0.974826 | hs_3 | sum_heuristic |
[
40,
93,
12,
8
] | 37 | [
"40+93=133",
"12*8=96",
"133-96=37"
] | Current State: 37:[40, 93, 12, 8], Operations: []
Exploring Operation: 40+93=133, Resulting Numbers: [12, 8, 133]
Generated Node #2: [12, 8, 133] from Operation: 40+93=133
Current State: 37:[12, 8, 133], Operations: ['40+93=133']
Exploring Operation: 12*8=96, Resulting Numbers: [133, 96]
Generated Node #3: [133, 96] from Operation: 12*8=96
Current State: 37:[133, 96], Operations: ['40+93=133', '12*8=96']
Exploring Operation: 133-96=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[40, 93, 12, 8], Operations: []
Exploring Operation: 93-40=53, Resulting Numbers: [12, 8, 53]
Generated Node #0,0: 37:[12, 8, 53] Operation: 93-40=53
Exploring Operation: 93-12=81, Resulting Numbers: [40, 8, 81]
Generated Node #0,1: 37:[40, 8, 81] Operation: 93-12=81
Start Sub Search at level 1: Moving to Node #0,0
Current State: 37:[12, 8, 53], Operations: ['93-40=53']
Exploring Operation: 12+8=20, Resulting Numbers: [53, 20]
Generated Node #0,0,0: 37:[53, 20] Operation: 12+8=20
Exploring Operation: 53-12=41, Resulting Numbers: [8, 41]
Generated Node #0,0,1: 37:[8, 41] Operation: 53-12=41
Moving to Node #0,0,0
Current State: 37:[53, 20], Operations: ['93-40=53', '12+8=20']
Exploring Operation: 53+20=73, Resulting Numbers: [73]
73,37 unequal: No Solution
Exploring Operation: 53-20=33, Resulting Numbers: [33]
33,37 unequal: No Solution
Moving to Node #0,0,1
Current State: 37:[8, 41], Operations: ['93-40=53', '53-12=41']
Exploring Operation: 41-8=33, Resulting Numbers: [33]
33,37 unequal: No Solution
Exploring Operation: 8+41=49, Resulting Numbers: [49]
49,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 37:[40, 8, 81], Operations: ['93-12=81']
Exploring Operation: 81-40=41, Resulting Numbers: [8, 41]
Generated Node #0,1,0: 37:[8, 41] Operation: 81-40=41
Exploring Operation: 81-8=73, Resulting Numbers: [40, 73]
Generated Node #0,1,1: 37:[40, 73] Operation: 81-8=73
Moving to Node #0,1,0
Current State: 37:[8, 41], Operations: ['93-12=81', '81-40=41']
Exploring Operation: 41-8=33, Resulting Numbers: [33]
33,37 unequal: No Solution
Exploring Operation: 8+41=49, Resulting Numbers: [49]
49,37 unequal: No Solution
Moving to Node #0,1,1
Current State: 37:[40, 73], Operations: ['93-12=81', '81-8=73']
Exploring Operation: 40+73=113, Resulting Numbers: [113]
113,37 unequal: No Solution
Exploring Operation: 73-40=33, Resulting Numbers: [33]
33,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
37,
27,
2,
96
] | 58 | [
"37-27=10",
"96/2=48",
"10+48=58"
] | Current State: 58:[37, 27, 2, 96], Operations: []
Exploring Operation: 37-27=10, Resulting Numbers: [2, 96, 10]
Generated Node #2: [2, 96, 10] from Operation: 37-27=10
Current State: 58:[2, 96, 10], Operations: ['37-27=10']
Exploring Operation: 96/2=48, Resulting Numbers: [10, 48]
Generated Node #3: [10, 48] from Operation: 96/2=48
Current State: 58:[10, 48], Operations: ['37-27=10', '96/2=48']
Exploring Operation: 10+48=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[37, 27, 2, 96], Operations: []
Exploring Operation: 96-37=59, Resulting Numbers: [27, 2, 59]
Generated Node #0,0: 58:[27, 2, 59] Operation: 96-37=59
Moving to Node #0,0
Current State: 58:[27, 2, 59], Operations: ['96-37=59']
Exploring Operation: 27+2=29, Resulting Numbers: [59, 29]
Generated Node #0,0,0: 58:[59, 29] Operation: 27+2=29
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 58:[59, 29], Operations: ['96-37=59', '27+2=29']
Exploring Operation: 59-29=30, Resulting Numbers: [30]
30,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
91,
56,
97,
87
] | 83 | [
"91-87=4",
"56/4=14",
"97-14=83"
] | Current State: 83:[91, 56, 97, 87], Operations: []
Exploring Operation: 91-87=4, Resulting Numbers: [56, 97, 4]
Generated Node #2: [56, 97, 4] from Operation: 91-87=4
Current State: 83:[56, 97, 4], Operations: ['91-87=4']
Exploring Operation: 56/4=14, Resulting Numbers: [97, 14]
Generated Node #3: [97, 14] from Operation: 56/4=14
Current State: 83:[97, 14], Operations: ['91-87=4', '56/4=14']
Exploring Operation: 97-14=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[91, 56, 97, 87], Operations: []
Exploring Operation: 91-56=35, Resulting Numbers: [97, 87, 35]
Generated Node #0,0: 83:[97, 87, 35] Operation: 91-56=35
Exploring Operation: 87-56=31, Resulting Numbers: [91, 97, 31]
Generated Node #0,1: 83:[91, 97, 31] Operation: 87-56=31
Exploring Operation: 91+56=147, Resulting Numbers: [97, 87, 147]
Generated Node #0,2: 83:[97, 87, 147] Operation: 91+56=147
Exploring Operation: 56+97=153, Resulting Numbers: [91, 87, 153]
Generated Node #0,3: 83:[91, 87, 153] Operation: 56+97=153
Exploring Operation: 97-56=41, Resulting Numbers: [91, 87, 41]
Generated Node #0,4: 83:[91, 87, 41] Operation: 97-56=41
Start Sub Search at level 1: Moving to Node #0,4
Current State: 83:[91, 87, 41], Operations: ['97-56=41']
Exploring Operation: 87-41=46, Resulting Numbers: [91, 46]
Generated Node #0,4,0: 83:[91, 46] Operation: 87-41=46
Exploring Operation: 87+41=128, Resulting Numbers: [91, 128]
Generated Node #0,4,1: 83:[91, 128] Operation: 87+41=128
Exploring Operation: 91-87=4, Resulting Numbers: [41, 4]
Generated Node #0,4,2: 83:[41, 4] Operation: 91-87=4
Exploring Operation: 91+41=132, Resulting Numbers: [87, 132]
Generated Node #0,4,3: 83:[87, 132] Operation: 91+41=132
Exploring Operation: 91-41=50, Resulting Numbers: [87, 50]
Generated Node #0,4,4: 83:[87, 50] Operation: 91-41=50
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 83:[87, 50], Operations: ['97-56=41', '91-41=50']
Exploring Operation: 87-50=37, Resulting Numbers: [37]
37,83 unequal: No Solution
Exploring Operation: 87*50=4350, Resulting Numbers: [4350]
4350,83 unequal: No Solution
Exploring Operation: 87+50=137, Resulting Numbers: [137]
137,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 83:[91, 46], Operations: ['97-56=41', '87-41=46']
Exploring Operation: 91*46=4186, Resulting Numbers: [4186]
4186,83 unequal: No Solution
Exploring Operation: 91+46=137, Resulting Numbers: [137]
137,83 unequal: No Solution
Exploring Operation: 91-46=45, Resulting Numbers: [45]
45,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 83:[91, 128], Operations: ['97-56=41', '87+41=128']
Exploring Operation: 91+128=219, Resulting Numbers: [219]
219,83 unequal: No Solution
Exploring Operation: 91*128=11648, Resulting Numbers: [11648]
11648,83 unequal: No Solution
Exploring Operation: 128-91=37, Resulting Numbers: [37]
37,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 83:[87, 132], Operations: ['97-56=41', '91+41=132']
Exploring Operation: 132-87=45, Resulting Numbers: [45]
45,83 unequal: No Solution
Exploring Operation: 87+132=219, Resulting Numbers: [219]
219,83 unequal: No Solution
Exploring Operation: 87*132=11484, Resulting Numbers: [11484]
11484,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 83:[41, 4], Operations: ['97-56=41', '91-87=4']
Exploring Operation: 41+4=45, Resulting Numbers: [45]
45,83 unequal: No Solution
Exploring Operation: 41*4=164, Resulting Numbers: [164]
164,83 unequal: No Solution
Exploring Operation: 41-4=37, Resulting Numbers: [37]
37,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 83:[97, 87, 35], Operations: ['91-56=35']
Exploring Operation: 87+35=122, Resulting Numbers: [97, 122]
Generated Node #0,0,0: 83:[97, 122] Operation: 87+35=122
Exploring Operation: 97-87=10, Resulting Numbers: [35, 10]
Generated Node #0,0,1: 83:[35, 10] Operation: 97-87=10
Exploring Operation: 87-35=52, Resulting Numbers: [97, 52]
Generated Node #0,0,2: 83:[97, 52] Operation: 87-35=52
Exploring Operation: 97-35=62, Resulting Numbers: [87, 62]
Generated Node #0,0,3: 83:[87, 62] Operation: 97-35=62
Exploring Operation: 97+35=132, Resulting Numbers: [87, 132]
Generated Node #0,0,4: 83:[87, 132] Operation: 97+35=132
Moving to Node #0,0,3
Current State: 83:[87, 62], Operations: ['91-56=35', '97-35=62']
Exploring Operation: 87*62=5394, Resulting Numbers: [5394]
5394,83 unequal: No Solution
Exploring Operation: 87+62=149, Resulting Numbers: [149]
149,83 unequal: No Solution
Exploring Operation: 87-62=25, Resulting Numbers: [25]
25,83 unequal: No Solution
Moving to Node #0,0,2
Current State: 83:[97, 52], Operations: ['91-56=35', '87-35=52']
Exploring Operation: 97*52=5044, Resulting Numbers: [5044]
5044,83 unequal: No Solution
Exploring Operation: 97+52=149, Resulting Numbers: [149]
149,83 unequal: No Solution
Exploring Operation: 97-52=45, Resulting Numbers: [45]
45,83 unequal: No Solution
Moving to Node #0,0,0
Current State: 83:[97, 122], Operations: ['91-56=35', '87+35=122']
Exploring Operation: 122-97=25, Resulting Numbers: [25]
25,83 unequal: No Solution
Exploring Operation: 97+122=219, Resulting Numbers: [219]
219,83 unequal: No Solution
Exploring Operation: 97*122=11834, Resulting Numbers: [11834]
11834,83 unequal: No Solution
Moving to Node #0,0,4
Current State: 83:[87, 132], Operations: ['91-56=35', '97+35=132']
Exploring Operation: 87+132=219, Resulting Numbers: [219]
219,83 unequal: No Solution
Exploring Operation: 87*132=11484, Resulting Numbers: [11484]
11484,83 unequal: No Solution
Exploring Operation: 132-87=45, Resulting Numbers: [45]
45,83 unequal: No Solution
Moving to Node #0,0,1
Current State: 83:[35, 10], Operations: ['91-56=35', '97-87=10']
Exploring Operation: 35-10=25, Resulting Numbers: [25]
25,83 unequal: No Solution
Exploring Operation: 35+10=45, Resulting Numbers: [45]
45,83 unequal: No Solution
Exploring Operation: 35*10=350, Resulting Numbers: [350]
350,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 83:[91, 97, 31], Operations: ['87-56=31']
Exploring Operation: 97-91=6, Resulting Numbers: [31, 6]
Generated Node #0,1,0: 83:[31, 6] Operation: 97-91=6
Exploring Operation: 97+31=128, Resulting Numbers: [91, 128]
Generated Node #0,1,1: 83:[91, 128] Operation: 97+31=128
Exploring Operation: 91+31=122, Resulting Numbers: [97, 122]
Generated Node #0,1,2: 83:[97, 122] Operation: 91+31=122
Exploring Operation: 97-31=66, Resulting Numbers: [91, 66]
Generated Node #0,1,3: 83:[91, 66] Operation: 97-31=66
Exploring Operation: 91-31=60, Resulting Numbers: [97, 60]
Generated Node #0,1,4: 83:[97, 60] Operation: 91-31=60
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 83:[91, 66], Operations: ['87-56=31', '97-31=66']
Exploring Operation: 91*66=6006, Resulting Numbers: [6006]
6006,83 unequal: No Solution
Exploring Operation: 91-66=25, Resulting Numbers: [25]
25,83 unequal: No Solution
Exploring Operation: 91+66=157, Resulting Numbers: [157]
157,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 83:[97, 60], Operations: ['87-56=31', '91-31=60']
Exploring Operation: 97-60=37, Resulting Numbers: [37]
37,83 unequal: No Solution
Exploring Operation: 97+60=157, Resulting Numbers: [157]
157,83 unequal: No Solution
Exploring Operation: 97*60=5820, Resulting Numbers: [5820]
5820,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 83:[91, 128], Operations: ['87-56=31', '97+31=128']
Exploring Operation: 91*128=11648, Resulting Numbers: [11648]
11648,83 unequal: No Solution
Exploring Operation: 128-91=37, Resulting Numbers: [37]
37,83 unequal: No Solution
Exploring Operation: 91+128=219, Resulting Numbers: [219]
219,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 83:[97, 122], Operations: ['87-56=31', '91+31=122']
Exploring Operation: 122-97=25, Resulting Numbers: [25]
25,83 unequal: No Solution
Exploring Operation: 97+122=219, Resulting Numbers: [219]
219,83 unequal: No Solution
Exploring Operation: 97*122=11834, Resulting Numbers: [11834]
11834,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 83:[31, 6], Operations: ['87-56=31', '97-91=6']
Exploring Operation: 31-6=25, Resulting Numbers: [25]
25,83 unequal: No Solution
Exploring Operation: 31*6=186, Resulting Numbers: [186]
186,83 unequal: No Solution
Exploring Operation: 31+6=37, Resulting Numbers: [37]
37,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 83:[97, 87, 147], Operations: ['91+56=147']
Exploring Operation: 97+147=244, Resulting Numbers: [87, 244]
Generated Node #0,2,0: 83:[87, 244] Operation: 97+147=244
Exploring Operation: 147-87=60, Resulting Numbers: [97, 60]
Generated Node #0,2,1: 83:[97, 60] Operation: 147-87=60
Exploring Operation: 97+87=184, Resulting Numbers: [147, 184]
Generated Node #0,2,2: 83:[147, 184] Operation: 97+87=184
Exploring Operation: 97-87=10, Resulting Numbers: [147, 10]
Generated Node #0,2,3: 83:[147, 10] Operation: 97-87=10
Exploring Operation: 147-97=50, Resulting Numbers: [87, 50]
Generated Node #0,2,4: 83:[87, 50] Operation: 147-97=50
Moving to Node #0,2,1
Current State: 83:[97, 60], Operations: ['91+56=147', '147-87=60']
Exploring Operation: 97+60=157, Resulting Numbers: [157]
157,83 unequal: No Solution
Exploring Operation: 97*60=5820, Resulting Numbers: [5820]
5820,83 unequal: No Solution
Exploring Operation: 97-60=37, Resulting Numbers: [37]
37,83 unequal: No Solution
Moving to Node #0,2,4
Current State: 83:[87, 50], Operations: ['91+56=147', '147-97=50']
Exploring Operation: 87-50=37, Resulting Numbers: [37]
37,83 unequal: No Solution
Exploring Operation: 87+50=137, Resulting Numbers: [137]
137,83 unequal: No Solution
Exploring Operation: 87*50=4350, Resulting Numbers: [4350]
4350,83 unequal: No Solution
Moving to Node #0,2,3
Current State: 83:[147, 10], Operations: ['91+56=147', '97-87=10']
Exploring Operation: 147+10=157, Resulting Numbers: [157]
157,83 unequal: No Solution
Exploring Operation: 147-10=137, Resulting Numbers: [137]
137,83 unequal: No Solution
Exploring Operation: 147*10=1470, Resulting Numbers: [1470]
1470,83 unequal: No Solution
Moving to Node #0,2,0
Current State: 83:[87, 244], Operations: ['91+56=147', '97+147=244']
Exploring Operation: 87*244=21228, Resulting Numbers: [21228]
21228,83 unequal: No Solution
Exploring Operation: 87+244=331, Resulting Numbers: [331]
331,83 unequal: No Solution
Exploring Operation: 244-87=157, Resulting Numbers: [157]
157,83 unequal: No Solution
Moving to Node #0,2,2
Current State: 83:[147, 184], Operations: ['91+56=147', '97+87=184']
Exploring Operation: 147*184=27048, Resulting Numbers: [27048]
27048,83 unequal: No Solution
Exploring Operation: 184-147=37, Resulting Numbers: [37]
37,83 unequal: No Solution
Exploring Operation: 147+184=331, Resulting Numbers: [331]
331,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 83:[91, 87, 153], Operations: ['56+97=153']
Exploring Operation: 153-91=62, Resulting Numbers: [87, 62]
Generated Node #0,3,0: 83:[87, 62] Operation: 153-91=62
Exploring Operation: 91+87=178, Resulting Numbers: [153, 178]
Generated Node #0,3,1: 83:[153, 178] Operation: 91+87=178
Exploring Operation: 91-87=4, Resulting Numbers: [153, 4]
Generated Node #0,3,2: 83:[153, 4] Operation: 91-87=4
Exploring Operation: 153-87=66, Resulting Numbers: [91, 66]
Generated Node #0,3,3: 83:[91, 66] Operation: 153-87=66
Exploring Operation: 91+153=244, Resulting Numbers: [87, 244]
Generated Node #0,3,4: 83:[87, 244] Operation: 91+153=244
Moving to Node #0,3,0
Current State: 83:[87, 62], Operations: ['56+97=153', '153-91=62']
Exploring Operation: 87-62=25, Resulting Numbers: [25]
25,83 unequal: No Solution
Exploring Operation: 87+62=149, Resulting Numbers: [149]
149,83 unequal: No Solution
Exploring Operation: 87*62=5394, Resulting Numbers: [5394]
5394,83 unequal: No Solution
Moving to Node #0,3,3
Current State: 83:[91, 66], Operations: ['56+97=153', '153-87=66']
Exploring Operation: 91-66=25, Resulting Numbers: [25]
25,83 unequal: No Solution
Exploring Operation: 91+66=157, Resulting Numbers: [157]
157,83 unequal: No Solution
Exploring Operation: 91*66=6006, Resulting Numbers: [6006]
6006,83 unequal: No Solution
Moving to Node #0,3,2
Current State: 83:[153, 4], Operations: ['56+97=153', '91-87=4']
Exploring Operation: 153-4=149, Resulting Numbers: [149]
149,83 unequal: No Solution
Exploring Operation: 153*4=612, Resulting Numbers: [612]
612,83 unequal: No Solution
Exploring Operation: 153+4=157, Resulting Numbers: [157]
157,83 unequal: No Solution
Moving to Node #0,3,1
Current State: 83:[153, 178], Operations: ['56+97=153', '91+87=178']
Exploring Operation: 178-153=25, Resulting Numbers: [25]
25,83 unequal: No Solution
Exploring Operation: 153*178=27234, Resulting Numbers: [27234]
27234,83 unequal: No Solution
Exploring Operation: 153+178=331, Resulting Numbers: [331]
331,83 unequal: No Solution
Moving to Node #0,3,4
Current State: 83:[87, 244], Operations: ['56+97=153', '91+153=244']
Exploring Operation: 87*244=21228, Resulting Numbers: [21228]
21228,83 unequal: No Solution
Exploring Operation: 244-87=157, Resulting Numbers: [157]
157,83 unequal: No Solution
Exploring Operation: 87+244=331, Resulting Numbers: [331]
331,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
74,
16,
3,
20
] | 98 | [
"74*3=222",
"16*20=320",
"320-222=98"
] | Current State: 98:[74, 16, 3, 20], Operations: []
Exploring Operation: 74*3=222, Resulting Numbers: [16, 20, 222]
Generated Node #2: [16, 20, 222] from Operation: 74*3=222
Current State: 98:[16, 20, 222], Operations: ['74*3=222']
Exploring Operation: 16*20=320, Resulting Numbers: [222, 320]
Generated Node #3: [222, 320] from Operation: 16*20=320
Current State: 98:[222, 320], Operations: ['74*3=222', '16*20=320']
Exploring Operation: 320-222=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[74, 16, 3, 20], Operations: []
Exploring Operation: 74+20=94, Resulting Numbers: [16, 3, 94]
Generated Node #0,0: 98:[16, 3, 94] Operation: 74+20=94
Exploring Operation: 74-16=58, Resulting Numbers: [3, 20, 58]
Generated Node #0,1: 98:[3, 20, 58] Operation: 74-16=58
Exploring Operation: 74-20=54, Resulting Numbers: [16, 3, 54]
Generated Node #0,2: 98:[16, 3, 54] Operation: 74-20=54
Exploring Operation: 74+16=90, Resulting Numbers: [3, 20, 90]
Generated Node #0,3: 98:[3, 20, 90] Operation: 74+16=90
Start Sub Search at level 1: Moving to Node #0,0
Current State: 98:[16, 3, 94], Operations: ['74+20=94']
Exploring Operation: 16-3=13, Resulting Numbers: [94, 13]
Generated Node #0,0,0: 98:[94, 13] Operation: 16-3=13
Exploring Operation: 16*3=48, Resulting Numbers: [94, 48]
Generated Node #0,0,1: 98:[94, 48] Operation: 16*3=48
Exploring Operation: 16+3=19, Resulting Numbers: [94, 19]
Generated Node #0,0,2: 98:[94, 19] Operation: 16+3=19
Exploring Operation: 3+94=97, Resulting Numbers: [16, 97]
Generated Node #0,0,3: 98:[16, 97] Operation: 3+94=97
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 98:[16, 97], Operations: ['74+20=94', '3+94=97']
Exploring Operation: 97-16=81, Resulting Numbers: [81]
81,98 unequal: No Solution
Exploring Operation: 16*97=1552, Resulting Numbers: [1552]
1552,98 unequal: No Solution
Exploring Operation: 16+97=113, Resulting Numbers: [113]
113,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 98:[94, 13], Operations: ['74+20=94', '16-3=13']
Exploring Operation: 94-13=81, Resulting Numbers: [81]
81,98 unequal: No Solution
Exploring Operation: 94+13=107, Resulting Numbers: [107]
107,98 unequal: No Solution
Exploring Operation: 94*13=1222, Resulting Numbers: [1222]
1222,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 98:[94, 48], Operations: ['74+20=94', '16*3=48']
Exploring Operation: 94+48=142, Resulting Numbers: [142]
142,98 unequal: No Solution
Exploring Operation: 94-48=46, Resulting Numbers: [46]
46,98 unequal: No Solution
Exploring Operation: 94*48=4512, Resulting Numbers: [4512]
4512,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 98:[94, 19], Operations: ['74+20=94', '16+3=19']
Exploring Operation: 94*19=1786, Resulting Numbers: [1786]
1786,98 unequal: No Solution
Exploring Operation: 94-19=75, Resulting Numbers: [75]
75,98 unequal: No Solution
Exploring Operation: 94+19=113, Resulting Numbers: [113]
113,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 98:[16, 3, 54], Operations: ['74-20=54']
Exploring Operation: 16-3=13, Resulting Numbers: [54, 13]
Generated Node #0,2,0: 98:[54, 13] Operation: 16-3=13
Exploring Operation: 16*3=48, Resulting Numbers: [54, 48]
Generated Node #0,2,1: 98:[54, 48] Operation: 16*3=48
Exploring Operation: 54/3=18, Resulting Numbers: [16, 18]
Generated Node #0,2,2: 98:[16, 18] Operation: 54/3=18
Exploring Operation: 54-3=51, Resulting Numbers: [16, 51]
Generated Node #0,2,3: 98:[16, 51] Operation: 54-3=51
Moving to Node #0,2,3
Current State: 98:[16, 51], Operations: ['74-20=54', '54-3=51']
Exploring Operation: 16+51=67, Resulting Numbers: [67]
67,98 unequal: No Solution
Exploring Operation: 51-16=35, Resulting Numbers: [35]
35,98 unequal: No Solution
Exploring Operation: 16*51=816, Resulting Numbers: [816]
816,98 unequal: No Solution
Moving to Node #0,2,1
Current State: 98:[54, 48], Operations: ['74-20=54', '16*3=48']
Exploring Operation: 54+48=102, Resulting Numbers: [102]
102,98 unequal: No Solution
Exploring Operation: 54*48=2592, Resulting Numbers: [2592]
2592,98 unequal: No Solution
Exploring Operation: 54-48=6, Resulting Numbers: [6]
6,98 unequal: No Solution
Moving to Node #0,2,0
Current State: 98:[54, 13], Operations: ['74-20=54', '16-3=13']
Exploring Operation: 54*13=702, Resulting Numbers: [702]
702,98 unequal: No Solution
Exploring Operation: 54+13=67, Resulting Numbers: [67]
67,98 unequal: No Solution
Exploring Operation: 54-13=41, Resulting Numbers: [41]
41,98 unequal: No Solution
Moving to Node #0,2,2
Current State: 98:[16, 18], Operations: ['74-20=54', '54/3=18']
Exploring Operation: 18-16=2, Resulting Numbers: [2]
2,98 unequal: No Solution
Exploring Operation: 16*18=288, Resulting Numbers: [288]
288,98 unequal: No Solution
Exploring Operation: 16+18=34, Resulting Numbers: [34]
34,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 98:[3, 20, 90], Operations: ['74+16=90']
Exploring Operation: 20+90=110, Resulting Numbers: [3, 110]
Generated Node #0,3,0: 98:[3, 110] Operation: 20+90=110
Exploring Operation: 3+90=93, Resulting Numbers: [20, 93]
Generated Node #0,3,1: 98:[20, 93] Operation: 3+90=93
Exploring Operation: 20-3=17, Resulting Numbers: [90, 17]
Generated Node #0,3,2: 98:[90, 17] Operation: 20-3=17
Exploring Operation: 3+20=23, Resulting Numbers: [90, 23]
Generated Node #0,3,3: 98:[90, 23] Operation: 3+20=23
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 98:[20, 93], Operations: ['74+16=90', '3+90=93']
Exploring Operation: 20+93=113, Resulting Numbers: [113]
113,98 unequal: No Solution
Exploring Operation: 93-20=73, Resulting Numbers: [73]
73,98 unequal: No Solution
Exploring Operation: 20*93=1860, Resulting Numbers: [1860]
1860,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 98:[90, 17], Operations: ['74+16=90', '20-3=17']
Exploring Operation: 90+17=107, Resulting Numbers: [107]
107,98 unequal: No Solution
Exploring Operation: 90*17=1530, Resulting Numbers: [1530]
1530,98 unequal: No Solution
Exploring Operation: 90-17=73, Resulting Numbers: [73]
73,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 98:[3, 110], Operations: ['74+16=90', '20+90=110']
Exploring Operation: 3*110=330, Resulting Numbers: [330]
330,98 unequal: No Solution
Exploring Operation: 110-3=107, Resulting Numbers: [107]
107,98 unequal: No Solution
Exploring Operation: 3+110=113, Resulting Numbers: [113]
113,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 98:[90, 23], Operations: ['74+16=90', '3+20=23']
Exploring Operation: 90+23=113, Resulting Numbers: [113]
113,98 unequal: No Solution
Exploring Operation: 90-23=67, Resulting Numbers: [67]
67,98 unequal: No Solution
Exploring Operation: 90*23=2070, Resulting Numbers: [2070]
2070,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 98:[3, 20, 58], Operations: ['74-16=58']
Exploring Operation: 3+20=23, Resulting Numbers: [58, 23]
Generated Node #0,1,0: 98:[58, 23] Operation: 3+20=23
Exploring Operation: 58-3=55, Resulting Numbers: [20, 55]
Generated Node #0,1,1: 98:[20, 55] Operation: 58-3=55
Exploring Operation: 58-20=38, Resulting Numbers: [3, 38]
Generated Node #0,1,2: 98:[3, 38] Operation: 58-20=38
Exploring Operation: 20-3=17, Resulting Numbers: [58, 17]
Generated Node #0,1,3: 98:[58, 17] Operation: 20-3=17
Moving to Node #0,1,1
Current State: 98:[20, 55], Operations: ['74-16=58', '58-3=55']
Exploring Operation: 20+55=75, Resulting Numbers: [75]
75,98 unequal: No Solution
Exploring Operation: 20*55=1100, Resulting Numbers: [1100]
1100,98 unequal: No Solution
Exploring Operation: 55-20=35, Resulting Numbers: [35]
35,98 unequal: No Solution
Moving to Node #0,1,3
Current State: 98:[58, 17], Operations: ['74-16=58', '20-3=17']
Exploring Operation: 58-17=41, Resulting Numbers: [41]
41,98 unequal: No Solution
Exploring Operation: 58*17=986, Resulting Numbers: [986]
986,98 unequal: No Solution
Exploring Operation: 58+17=75, Resulting Numbers: [75]
75,98 unequal: No Solution
Moving to Node #0,1,2
Current State: 98:[3, 38], Operations: ['74-16=58', '58-20=38']
Exploring Operation: 3*38=114, Resulting Numbers: [114]
114,98 unequal: No Solution
Exploring Operation: 38-3=35, Resulting Numbers: [35]
35,98 unequal: No Solution
Exploring Operation: 3+38=41, Resulting Numbers: [41]
41,98 unequal: No Solution
Moving to Node #0,1,0
Current State: 98:[58, 23], Operations: ['74-16=58', '3+20=23']
Exploring Operation: 58*23=1334, Resulting Numbers: [1334]
1334,98 unequal: No Solution
Exploring Operation: 58+23=81, Resulting Numbers: [81]
81,98 unequal: No Solution
Exploring Operation: 58-23=35, Resulting Numbers: [35]
35,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
3,
34,
22,
50
] | 65 | [
"3+34=37",
"50-22=28",
"37+28=65"
] | Current State: 65:[3, 34, 22, 50], Operations: []
Exploring Operation: 3+34=37, Resulting Numbers: [22, 50, 37]
Generated Node #2: [22, 50, 37] from Operation: 3+34=37
Current State: 65:[22, 50, 37], Operations: ['3+34=37']
Exploring Operation: 50-22=28, Resulting Numbers: [37, 28]
Generated Node #3: [37, 28] from Operation: 50-22=28
Current State: 65:[37, 28], Operations: ['3+34=37', '50-22=28']
Exploring Operation: 37+28=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[3, 34, 22, 50], Operations: []
Exploring Operation: 34+50=84, Resulting Numbers: [3, 22, 84]
Generated Node #0,0: 65:[3, 22, 84] Operation: 34+50=84
Exploring Operation: 34+22=56, Resulting Numbers: [3, 50, 56]
Generated Node #0,1: 65:[3, 50, 56] Operation: 34+22=56
Exploring Operation: 34-22=12, Resulting Numbers: [3, 50, 12]
Generated Node #0,2: 65:[3, 50, 12] Operation: 34-22=12
Exploring Operation: 50-34=16, Resulting Numbers: [3, 22, 16]
Generated Node #0,3: 65:[3, 22, 16] Operation: 50-34=16
Start Sub Search at level 1: Moving to Node #0,3
Current State: 65:[3, 22, 16], Operations: ['50-34=16']
Exploring Operation: 16-3=13, Resulting Numbers: [22, 13]
Generated Node #0,3,0: 65:[22, 13] Operation: 16-3=13
Exploring Operation: 22-3=19, Resulting Numbers: [16, 19]
Generated Node #0,3,1: 65:[16, 19] Operation: 22-3=19
Exploring Operation: 3*22=66, Resulting Numbers: [16, 66]
Generated Node #0,3,2: 65:[16, 66] Operation: 3*22=66
Exploring Operation: 22-16=6, Resulting Numbers: [3, 6]
Generated Node #0,3,3: 65:[3, 6] Operation: 22-16=6
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 65:[3, 6], Operations: ['50-34=16', '22-16=6']
Exploring Operation: 3+6=9, Resulting Numbers: [9]
9,65 unequal: No Solution
Exploring Operation: 6/3=2, Resulting Numbers: [2]
2,65 unequal: No Solution
Exploring Operation: 3*6=18, Resulting Numbers: [18]
18,65 unequal: No Solution
Exploring Operation: 6-3=3, Resulting Numbers: [3]
3,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 65:[16, 66], Operations: ['50-34=16', '3*22=66']
Exploring Operation: 16+66=82, Resulting Numbers: [82]
82,65 unequal: No Solution
Exploring Operation: 66-16=50, Resulting Numbers: [50]
50,65 unequal: No Solution
Exploring Operation: 16*66=1056, Resulting Numbers: [1056]
1056,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 65:[22, 13], Operations: ['50-34=16', '16-3=13']
Exploring Operation: 22-13=9, Resulting Numbers: [9]
9,65 unequal: No Solution
Exploring Operation: 22+13=35, Resulting Numbers: [35]
35,65 unequal: No Solution
Exploring Operation: 22*13=286, Resulting Numbers: [286]
286,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 65:[16, 19], Operations: ['50-34=16', '22-3=19']
Exploring Operation: 19-16=3, Resulting Numbers: [3]
3,65 unequal: No Solution
Exploring Operation: 16+19=35, Resulting Numbers: [35]
35,65 unequal: No Solution
Exploring Operation: 16*19=304, Resulting Numbers: [304]
304,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 65:[3, 50, 12], Operations: ['34-22=12']
Exploring Operation: 50+12=62, Resulting Numbers: [3, 62]
Generated Node #0,2,0: 65:[3, 62] Operation: 50+12=62
Exploring Operation: 12/3=4, Resulting Numbers: [50, 4]
Generated Node #0,2,1: 65:[50, 4] Operation: 12/3=4
Exploring Operation: 3+12=15, Resulting Numbers: [50, 15]
Generated Node #0,2,2: 65:[50, 15] Operation: 3+12=15
Exploring Operation: 3+50=53, Resulting Numbers: [12, 53]
Generated Node #0,2,3: 65:[12, 53] Operation: 3+50=53
Moving to Node #0,2,0
Current State: 65:[3, 62], Operations: ['34-22=12', '50+12=62']
Exploring Operation: 3*62=186, Resulting Numbers: [186]
186,65 unequal: No Solution
Exploring Operation: 62-3=59, Resulting Numbers: [59]
59,65 unequal: No Solution
Exploring Operation: 3+62=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Moving to Node #0
Current State: 65:[3, 34, 22, 50], Operations: []
Exploring Operation: 34-22=12, Resulting Numbers: [3, 50, 12]
Generated Node #0,2: 65:[3, 50, 12] Operation: 34-22=12
Moving to Node #0,2
Current State: 65:[3, 50, 12], Operations: ['34-22=12']
Exploring Operation: 50+12=62, Resulting Numbers: [3, 62]
Generated Node #0,2,0: 65:[3, 62] Operation: 50+12=62
Moving to Node #0,2,0
Current State: 65:[3, 62], Operations: ['34-22=12', '50+12=62']
Exploring Operation: 3+62=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Exit Sub Search at level 1
| 0.972222 | hs_4 | mult_heuristic |
[
31,
64,
14,
57
] | 67 | [
"64-57=7",
"14*7=98",
"98-31=67"
] | Current State: 67:[31, 64, 14, 57], Operations: []
Exploring Operation: 64-57=7, Resulting Numbers: [31, 14, 7]
Generated Node #2: [31, 14, 7] from Operation: 64-57=7
Current State: 67:[31, 14, 7], Operations: ['64-57=7']
Exploring Operation: 14*7=98, Resulting Numbers: [31, 98]
Generated Node #3: [31, 98] from Operation: 14*7=98
Current State: 67:[31, 98], Operations: ['64-57=7', '14*7=98']
Exploring Operation: 98-31=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[31, 64, 14, 57], Operations: []
Exploring Operation: 14+57=71, Resulting Numbers: [31, 64, 71]
Generated Node #0,0: 67:[31, 64, 71] Operation: 14+57=71
Exploring Operation: 31-14=17, Resulting Numbers: [64, 57, 17]
Generated Node #0,1: 67:[64, 57, 17] Operation: 31-14=17
Exploring Operation: 64-14=50, Resulting Numbers: [31, 57, 50]
Generated Node #0,2: 67:[31, 57, 50] Operation: 64-14=50
Exploring Operation: 64+14=78, Resulting Numbers: [31, 57, 78]
Generated Node #0,3: 67:[31, 57, 78] Operation: 64+14=78
Exploring Operation: 31+14=45, Resulting Numbers: [64, 57, 45]
Generated Node #0,4: 67:[64, 57, 45] Operation: 31+14=45
Moving to Node #0,4
Current State: 67:[64, 57, 45], Operations: ['31+14=45']
Exploring Operation: 57+45=102, Resulting Numbers: [64, 102]
Generated Node #0,4,0: 67:[64, 102] Operation: 57+45=102
Exploring Operation: 57-45=12, Resulting Numbers: [64, 12]
Generated Node #0,4,1: 67:[64, 12] Operation: 57-45=12
Exploring Operation: 64+57=121, Resulting Numbers: [45, 121]
Generated Node #0,4,2: 67:[45, 121] Operation: 64+57=121
Exploring Operation: 64+45=109, Resulting Numbers: [57, 109]
Generated Node #0,4,3: 67:[57, 109] Operation: 64+45=109
Exploring Operation: 64-45=19, Resulting Numbers: [57, 19]
Generated Node #0,4,4: 67:[57, 19] Operation: 64-45=19
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 67:[64, 102], Operations: ['31+14=45', '57+45=102']
Exploring Operation: 64*102=6528, Resulting Numbers: [6528]
6528,67 unequal: No Solution
Exploring Operation: 102-64=38, Resulting Numbers: [38]
38,67 unequal: No Solution
Exploring Operation: 64+102=166, Resulting Numbers: [166]
166,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 67:[57, 109], Operations: ['31+14=45', '64+45=109']
Exploring Operation: 57+109=166, Resulting Numbers: [166]
166,67 unequal: No Solution
Exploring Operation: 109-57=52, Resulting Numbers: [52]
52,67 unequal: No Solution
Exploring Operation: 57*109=6213, Resulting Numbers: [6213]
6213,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 67:[64, 12], Operations: ['31+14=45', '57-45=12']
Exploring Operation: 64-12=52, Resulting Numbers: [52]
52,67 unequal: No Solution
Exploring Operation: 64+12=76, Resulting Numbers: [76]
76,67 unequal: No Solution
Exploring Operation: 64*12=768, Resulting Numbers: [768]
768,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 67:[57, 19], Operations: ['31+14=45', '64-45=19']
Exploring Operation: 57/19=3, Resulting Numbers: [3]
3,67 unequal: No Solution
Exploring Operation: 57*19=1083, Resulting Numbers: [1083]
1083,67 unequal: No Solution
Exploring Operation: 57+19=76, Resulting Numbers: [76]
76,67 unequal: No Solution
Exploring Operation: 57-19=38, Resulting Numbers: [38]
38,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 67:[45, 121], Operations: ['31+14=45', '64+57=121']
Exploring Operation: 45+121=166, Resulting Numbers: [166]
166,67 unequal: No Solution
Exploring Operation: 121-45=76, Resulting Numbers: [76]
76,67 unequal: No Solution
Exploring Operation: 45*121=5445, Resulting Numbers: [5445]
5445,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 67:[31, 64, 71], Operations: ['14+57=71']
Exploring Operation: 31+71=102, Resulting Numbers: [64, 102]
Generated Node #0,0,0: 67:[64, 102] Operation: 31+71=102
Exploring Operation: 71-31=40, Resulting Numbers: [64, 40]
Generated Node #0,0,1: 67:[64, 40] Operation: 71-31=40
Exploring Operation: 71-64=7, Resulting Numbers: [31, 7]
Generated Node #0,0,2: 67:[31, 7] Operation: 71-64=7
Exploring Operation: 31+64=95, Resulting Numbers: [71, 95]
Generated Node #0,0,3: 67:[71, 95] Operation: 31+64=95
Exploring Operation: 64-31=33, Resulting Numbers: [71, 33]
Generated Node #0,0,4: 67:[71, 33] Operation: 64-31=33
Moving to Node #0,3
Current State: 67:[31, 57, 78], Operations: ['64+14=78']
Exploring Operation: 78-57=21, Resulting Numbers: [31, 21]
Generated Node #0,3,0: 67:[31, 21] Operation: 78-57=21
Exploring Operation: 57-31=26, Resulting Numbers: [78, 26]
Generated Node #0,3,1: 67:[78, 26] Operation: 57-31=26
Exploring Operation: 31+78=109, Resulting Numbers: [57, 109]
Generated Node #0,3,2: 67:[57, 109] Operation: 31+78=109
Exploring Operation: 78-31=47, Resulting Numbers: [57, 47]
Generated Node #0,3,3: 67:[57, 47] Operation: 78-31=47
Exploring Operation: 31+57=88, Resulting Numbers: [78, 88]
Generated Node #0,3,4: 67:[78, 88] Operation: 31+57=88
Moving to Node #0,1
Current State: 67:[64, 57, 17], Operations: ['31-14=17']
Exploring Operation: 57+17=74, Resulting Numbers: [64, 74]
Generated Node #0,1,0: 67:[64, 74] Operation: 57+17=74
Exploring Operation: 57-17=40, Resulting Numbers: [64, 40]
Generated Node #0,1,1: 67:[64, 40] Operation: 57-17=40
Exploring Operation: 64+57=121, Resulting Numbers: [17, 121]
Generated Node #0,1,2: 67:[17, 121] Operation: 64+57=121
Exploring Operation: 64-17=47, Resulting Numbers: [57, 47]
Generated Node #0,1,3: 67:[57, 47] Operation: 64-17=47
Exploring Operation: 64+17=81, Resulting Numbers: [57, 81]
Generated Node #0,1,4: 67:[57, 81] Operation: 64+17=81
Moving to Node #0,2
Current State: 67:[31, 57, 50], Operations: ['64-14=50']
Exploring Operation: 57-31=26, Resulting Numbers: [50, 26]
Generated Node #0,2,0: 67:[50, 26] Operation: 57-31=26
Exploring Operation: 50-31=19, Resulting Numbers: [57, 19]
Generated Node #0,2,1: 67:[57, 19] Operation: 50-31=19
Exploring Operation: 31+50=81, Resulting Numbers: [57, 81]
Generated Node #0,2,2: 67:[57, 81] Operation: 31+50=81
Exploring Operation: 57+50=107, Resulting Numbers: [31, 107]
Generated Node #0,2,3: 67:[31, 107] Operation: 57+50=107
Exploring Operation: 31+57=88, Resulting Numbers: [50, 88]
Generated Node #0,2,4: 67:[50, 88] Operation: 31+57=88
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 67:[57, 81], Operations: ['64-14=50', '31+50=81']
Exploring Operation: 57*81=4617, Resulting Numbers: [4617]
4617,67 unequal: No Solution
Exploring Operation: 57+81=138, Resulting Numbers: [138]
138,67 unequal: No Solution
Exploring Operation: 81-57=24, Resulting Numbers: [24]
24,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 67:[50, 88], Operations: ['64-14=50', '31+57=88']
Exploring Operation: 88-50=38, Resulting Numbers: [38]
38,67 unequal: No Solution
Exploring Operation: 50+88=138, Resulting Numbers: [138]
138,67 unequal: No Solution
Exploring Operation: 50*88=4400, Resulting Numbers: [4400]
4400,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 67:[50, 26], Operations: ['64-14=50', '57-31=26']
Exploring Operation: 50+26=76, Resulting Numbers: [76]
76,67 unequal: No Solution
Exploring Operation: 50*26=1300, Resulting Numbers: [1300]
1300,67 unequal: No Solution
Exploring Operation: 50-26=24, Resulting Numbers: [24]
24,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 67:[57, 19], Operations: ['64-14=50', '50-31=19']
Exploring Operation: 57*19=1083, Resulting Numbers: [1083]
1083,67 unequal: No Solution
Exploring Operation: 57+19=76, Resulting Numbers: [76]
76,67 unequal: No Solution
Exploring Operation: 57/19=3, Resulting Numbers: [3]
3,67 unequal: No Solution
Exploring Operation: 57-19=38, Resulting Numbers: [38]
38,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 67:[31, 107], Operations: ['64-14=50', '57+50=107']
Exploring Operation: 31+107=138, Resulting Numbers: [138]
138,67 unequal: No Solution
Exploring Operation: 107-31=76, Resulting Numbers: [76]
76,67 unequal: No Solution
Exploring Operation: 31*107=3317, Resulting Numbers: [3317]
3317,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,0
Current State: 67:[64, 74], Operations: ['31-14=17', '57+17=74']
Exploring Operation: 74-64=10, Resulting Numbers: [10]
10,67 unequal: No Solution
Exploring Operation: 64+74=138, Resulting Numbers: [138]
138,67 unequal: No Solution
Exploring Operation: 64*74=4736, Resulting Numbers: [4736]
4736,67 unequal: No Solution
Moving to Node #0,1,4
Current State: 67:[57, 81], Operations: ['31-14=17', '64+17=81']
Exploring Operation: 57*81=4617, Resulting Numbers: [4617]
4617,67 unequal: No Solution
Exploring Operation: 57+81=138, Resulting Numbers: [138]
138,67 unequal: No Solution
Exploring Operation: 81-57=24, Resulting Numbers: [24]
24,67 unequal: No Solution
Moving to Node #0,1,3
Current State: 67:[57, 47], Operations: ['31-14=17', '64-17=47']
Exploring Operation: 57+47=104, Resulting Numbers: [104]
104,67 unequal: No Solution
Exploring Operation: 57*47=2679, Resulting Numbers: [2679]
2679,67 unequal: No Solution
Exploring Operation: 57-47=10, Resulting Numbers: [10]
10,67 unequal: No Solution
Moving to Node #0,3,3
Current State: 67:[57, 47], Operations: ['64+14=78', '78-31=47']
Exploring Operation: 57*47=2679, Resulting Numbers: [2679]
2679,67 unequal: No Solution
Exploring Operation: 57-47=10, Resulting Numbers: [10]
10,67 unequal: No Solution
Exploring Operation: 57+47=104, Resulting Numbers: [104]
104,67 unequal: No Solution
Moving to Node #0,1,1
Current State: 67:[64, 40], Operations: ['31-14=17', '57-17=40']
Exploring Operation: 64+40=104, Resulting Numbers: [104]
104,67 unequal: No Solution
Exploring Operation: 64*40=2560, Resulting Numbers: [2560]
2560,67 unequal: No Solution
Exploring Operation: 64-40=24, Resulting Numbers: [24]
24,67 unequal: No Solution
Moving to Node #0,0,1
Current State: 67:[64, 40], Operations: ['14+57=71', '71-31=40']
Exploring Operation: 64-40=24, Resulting Numbers: [24]
24,67 unequal: No Solution
Exploring Operation: 64+40=104, Resulting Numbers: [104]
104,67 unequal: No Solution
Exploring Operation: 64*40=2560, Resulting Numbers: [2560]
2560,67 unequal: No Solution
Moving to Node #0,3,4
Current State: 67:[78, 88], Operations: ['64+14=78', '31+57=88']
Exploring Operation: 78+88=166, Resulting Numbers: [166]
166,67 unequal: No Solution
Exploring Operation: 78*88=6864, Resulting Numbers: [6864]
6864,67 unequal: No Solution
Exploring Operation: 88-78=10, Resulting Numbers: [10]
10,67 unequal: No Solution
Moving to Node #0,0,3
Current State: 67:[71, 95], Operations: ['14+57=71', '31+64=95']
Exploring Operation: 95-71=24, Resulting Numbers: [24]
24,67 unequal: No Solution
Exploring Operation: 71*95=6745, Resulting Numbers: [6745]
6745,67 unequal: No Solution
Exploring Operation: 71+95=166, Resulting Numbers: [166]
166,67 unequal: No Solution
Moving to Node #0,0,0
Current State: 67:[64, 102], Operations: ['14+57=71', '31+71=102']
Exploring Operation: 102-64=38, Resulting Numbers: [38]
38,67 unequal: No Solution
Exploring Operation: 64+102=166, Resulting Numbers: [166]
166,67 unequal: No Solution
Exploring Operation: 64*102=6528, Resulting Numbers: [6528]
6528,67 unequal: No Solution
Moving to Node #0,0,4
Current State: 67:[71, 33], Operations: ['14+57=71', '64-31=33']
Exploring Operation: 71+33=104, Resulting Numbers: [104]
104,67 unequal: No Solution
Exploring Operation: 71-33=38, Resulting Numbers: [38]
38,67 unequal: No Solution
Exploring Operation: 71*33=2343, Resulting Numbers: [2343]
2343,67 unequal: No Solution
Moving to Node #0,3,2
Current State: 67:[57, 109], Operations: ['64+14=78', '31+78=109']
Exploring Operation: 109-57=52, Resulting Numbers: [52]
52,67 unequal: No Solution
Exploring Operation: 57+109=166, Resulting Numbers: [166]
166,67 unequal: No Solution
Exploring Operation: 57*109=6213, Resulting Numbers: [6213]
6213,67 unequal: No Solution
Moving to Node #0,3,1
Current State: 67:[78, 26], Operations: ['64+14=78', '57-31=26']
Exploring Operation: 78/26=3, Resulting Numbers: [3]
3,67 unequal: No Solution
Exploring Operation: 78+26=104, Resulting Numbers: [104]
104,67 unequal: No Solution
Exploring Operation: 78*26=2028, Resulting Numbers: [2028]
2028,67 unequal: No Solution
Exploring Operation: 78-26=52, Resulting Numbers: [52]
52,67 unequal: No Solution
Moving to Node #0,3,0
Current State: 67:[31, 21], Operations: ['64+14=78', '78-57=21']
Exploring Operation: 31-21=10, Resulting Numbers: [10]
10,67 unequal: No Solution
Exploring Operation: 31+21=52, Resulting Numbers: [52]
52,67 unequal: No Solution
Exploring Operation: 31*21=651, Resulting Numbers: [651]
651,67 unequal: No Solution
Moving to Node #0,0,2
Current State: 67:[31, 7], Operations: ['14+57=71', '71-64=7']
Exploring Operation: 31*7=217, Resulting Numbers: [217]
217,67 unequal: No Solution
Exploring Operation: 31-7=24, Resulting Numbers: [24]
24,67 unequal: No Solution
Exploring Operation: 31+7=38, Resulting Numbers: [38]
38,67 unequal: No Solution
Moving to Node #0,1,2
Current State: 67:[17, 121], Operations: ['31-14=17', '64+57=121']
Exploring Operation: 121-17=104, Resulting Numbers: [104]
104,67 unequal: No Solution
Exploring Operation: 17+121=138, Resulting Numbers: [138]
138,67 unequal: No Solution
Exploring Operation: 17*121=2057, Resulting Numbers: [2057]
2057,67 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
55,
20,
15,
4
] | 15 | [
"55+20=75",
"15*4=60",
"75-60=15"
] | Current State: 15:[55, 20, 15, 4], Operations: []
Exploring Operation: 55+20=75, Resulting Numbers: [15, 4, 75]
Generated Node #2: [15, 4, 75] from Operation: 55+20=75
Current State: 15:[15, 4, 75], Operations: ['55+20=75']
Exploring Operation: 15*4=60, Resulting Numbers: [75, 60]
Generated Node #3: [75, 60] from Operation: 15*4=60
Current State: 15:[75, 60], Operations: ['55+20=75', '15*4=60']
Exploring Operation: 75-60=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[55, 20, 15, 4], Operations: []
Exploring Operation: 55-20=35, Resulting Numbers: [15, 4, 35]
Generated Node #0,0: 15:[15, 4, 35] Operation: 55-20=35
Start Sub Search at level 1: Moving to Node #0,0
Current State: 15:[15, 4, 35], Operations: ['55-20=35']
Exploring Operation: 35-15=20, Resulting Numbers: [4, 20]
Generated Node #0,0,0: 15:[4, 20] Operation: 35-15=20
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 15:[4, 20], Operations: ['55-20=35', '35-15=20']
Exploring Operation: 20/4=5, Resulting Numbers: [5]
5,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
13,
40,
35,
10
] | 52 | [
"40-13=27",
"35-10=25",
"27+25=52"
] | Current State: 52:[13, 40, 35, 10], Operations: []
Exploring Operation: 40-13=27, Resulting Numbers: [35, 10, 27]
Generated Node #2: [35, 10, 27] from Operation: 40-13=27
Current State: 52:[35, 10, 27], Operations: ['40-13=27']
Exploring Operation: 35-10=25, Resulting Numbers: [27, 25]
Generated Node #3: [27, 25] from Operation: 35-10=25
Current State: 52:[27, 25], Operations: ['40-13=27', '35-10=25']
Exploring Operation: 27+25=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[13, 40, 35, 10], Operations: []
Exploring Operation: 40/10=4, Resulting Numbers: [13, 35, 4]
Generated Node #0,0: 52:[13, 35, 4] Operation: 40/10=4
Exploring Operation: 40-35=5, Resulting Numbers: [13, 10, 5]
Generated Node #0,1: 52:[13, 10, 5] Operation: 40-35=5
Moving to Node #0,1
Current State: 52:[13, 10, 5], Operations: ['40-35=5']
Exploring Operation: 10/5=2, Resulting Numbers: [13, 2]
Generated Node #0,1,0: 52:[13, 2] Operation: 10/5=2
Exploring Operation: 10-5=5, Resulting Numbers: [13, 5]
Generated Node #0,1,1: 52:[13, 5] Operation: 10-5=5
Moving to Node #0,0
Current State: 52:[13, 35, 4], Operations: ['40/10=4']
Exploring Operation: 13+35=48, Resulting Numbers: [4, 48]
Generated Node #0,0,0: 52:[4, 48] Operation: 13+35=48
Exploring Operation: 35-13=22, Resulting Numbers: [4, 22]
Generated Node #0,0,1: 52:[4, 22] Operation: 35-13=22
Moving to Node #0,1,0
Current State: 52:[13, 2], Operations: ['40-35=5', '10/5=2']
Exploring Operation: 13*2=26, Resulting Numbers: [26]
26,52 unequal: No Solution
Exploring Operation: 13+2=15, Resulting Numbers: [15]
15,52 unequal: No Solution
Moving to Node #0,1,1
Current State: 52:[13, 5], Operations: ['40-35=5', '10-5=5']
Exploring Operation: 13-5=8, Resulting Numbers: [8]
8,52 unequal: No Solution
Exploring Operation: 13+5=18, Resulting Numbers: [18]
18,52 unequal: No Solution
Moving to Node #0,0,1
Current State: 52:[4, 22], Operations: ['40/10=4', '35-13=22']
Exploring Operation: 22-4=18, Resulting Numbers: [18]
18,52 unequal: No Solution
Exploring Operation: 4+22=26, Resulting Numbers: [26]
26,52 unequal: No Solution
Moving to Node #0,0,0
Current State: 52:[4, 48], Operations: ['40/10=4', '13+35=48']
Exploring Operation: 48/4=12, Resulting Numbers: [12]
12,52 unequal: No Solution
Exploring Operation: 4+48=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Moving to Node #0
Current State: 52:[13, 40, 35, 10], Operations: []
Exploring Operation: 40/10=4, Resulting Numbers: [13, 35, 4]
Generated Node #0,0: 52:[13, 35, 4] Operation: 40/10=4
Moving to Node #0,0
Current State: 52:[13, 35, 4], Operations: ['40/10=4']
Exploring Operation: 13+35=48, Resulting Numbers: [4, 48]
Generated Node #0,0,0: 52:[4, 48] Operation: 13+35=48
Moving to Node #0,0,0
Current State: 52:[4, 48], Operations: ['40/10=4', '13+35=48']
Exploring Operation: 4+48=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 0.984375 | hs_2 | sum_heuristic |
[
8,
66,
71,
4
] | 72 | [
"71-66=5",
"4+5=9",
"8*9=72"
] | Current State: 72:[8, 66, 71, 4], Operations: []
Exploring Operation: 71-66=5, Resulting Numbers: [8, 4, 5]
Generated Node #2: [8, 4, 5] from Operation: 71-66=5
Current State: 72:[8, 4, 5], Operations: ['71-66=5']
Exploring Operation: 4+5=9, Resulting Numbers: [8, 9]
Generated Node #3: [8, 9] from Operation: 4+5=9
Current State: 72:[8, 9], Operations: ['71-66=5', '4+5=9']
Exploring Operation: 8*9=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[8, 66, 71, 4], Operations: []
Exploring Operation: 8+4=12, Resulting Numbers: [66, 71, 12]
Generated Node #0,0: 72:[66, 71, 12] Operation: 8+4=12
Exploring Operation: 8-4=4, Resulting Numbers: [66, 71, 4]
Generated Node #0,1: 72:[66, 71, 4] Operation: 8-4=4
Exploring Operation: 71-66=5, Resulting Numbers: [8, 4, 5]
Generated Node #0,2: 72:[8, 4, 5] Operation: 71-66=5
Exploring Operation: 8+66=74, Resulting Numbers: [71, 4, 74]
Generated Node #0,3: 72:[71, 4, 74] Operation: 8+66=74
Exploring Operation: 66+4=70, Resulting Numbers: [8, 71, 70]
Generated Node #0,4: 72:[8, 71, 70] Operation: 66+4=70
Moving to Node #0,2
Current State: 72:[8, 4, 5], Operations: ['71-66=5']
Exploring Operation: 8-5=3, Resulting Numbers: [4, 3]
Generated Node #0,2,0: 72:[4, 3] Operation: 8-5=3
Exploring Operation: 4+5=9, Resulting Numbers: [8, 9]
Generated Node #0,2,1: 72:[8, 9] Operation: 4+5=9
Exploring Operation: 8/4=2, Resulting Numbers: [5, 2]
Generated Node #0,2,2: 72:[5, 2] Operation: 8/4=2
Exploring Operation: 8+4=12, Resulting Numbers: [5, 12]
Generated Node #0,2,3: 72:[5, 12] Operation: 8+4=12
Exploring Operation: 8-4=4, Resulting Numbers: [5, 4]
Generated Node #0,2,4: 72:[5, 4] Operation: 8-4=4
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 72:[4, 3], Operations: ['71-66=5', '8-5=3']
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,72 unequal: No Solution
Exploring Operation: 4*3=12, Resulting Numbers: [12]
12,72 unequal: No Solution
Exploring Operation: 4+3=7, Resulting Numbers: [7]
7,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 72:[8, 9], Operations: ['71-66=5', '4+5=9']
Exploring Operation: 8+9=17, Resulting Numbers: [17]
17,72 unequal: No Solution
Exploring Operation: 8*9=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Moving to Node #0
Current State: 72:[8, 66, 71, 4], Operations: []
Exploring Operation: 71-66=5, Resulting Numbers: [8, 4, 5]
Generated Node #0,2: 72:[8, 4, 5] Operation: 71-66=5
Moving to Node #0,2
Current State: 72:[8, 4, 5], Operations: ['71-66=5']
Exploring Operation: 4+5=9, Resulting Numbers: [8, 9]
Generated Node #0,2,1: 72:[8, 9] Operation: 4+5=9
Moving to Node #0,2,1
Current State: 72:[8, 9], Operations: ['71-66=5', '4+5=9']
Exploring Operation: 8*9=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_5 | sum_heuristic |
[
92,
77,
11,
83
] | 22 | [
"92-83=9",
"11*9=99",
"99-77=22"
] | Current State: 22:[92, 77, 11, 83], Operations: []
Exploring Operation: 92-83=9, Resulting Numbers: [77, 11, 9]
Generated Node #2: [77, 11, 9] from Operation: 92-83=9
Current State: 22:[77, 11, 9], Operations: ['92-83=9']
Exploring Operation: 11*9=99, Resulting Numbers: [77, 99]
Generated Node #3: [77, 99] from Operation: 11*9=99
Current State: 22:[77, 99], Operations: ['92-83=9', '11*9=99']
Exploring Operation: 99-77=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[92, 77, 11, 83], Operations: []
Exploring Operation: 83-77=6, Resulting Numbers: [92, 11, 6]
Generated Node #0,0: 22:[92, 11, 6] Operation: 83-77=6
Exploring Operation: 77/11=7, Resulting Numbers: [92, 83, 7]
Generated Node #0,1: 22:[92, 83, 7] Operation: 77/11=7
Exploring Operation: 92-83=9, Resulting Numbers: [77, 11, 9]
Generated Node #0,2: 22:[77, 11, 9] Operation: 92-83=9
Exploring Operation: 92-11=81, Resulting Numbers: [77, 83, 81]
Generated Node #0,3: 22:[77, 83, 81] Operation: 92-11=81
Exploring Operation: 92-77=15, Resulting Numbers: [11, 83, 15]
Generated Node #0,4: 22:[11, 83, 15] Operation: 92-77=15
Start Sub Search at level 1: Moving to Node #0,2
Current State: 22:[77, 11, 9], Operations: ['92-83=9']
Exploring Operation: 77-11=66, Resulting Numbers: [9, 66]
Generated Node #0,2,0: 22:[9, 66] Operation: 77-11=66
Exploring Operation: 11-9=2, Resulting Numbers: [77, 2]
Generated Node #0,2,1: 22:[77, 2] Operation: 11-9=2
Exploring Operation: 77-9=68, Resulting Numbers: [11, 68]
Generated Node #0,2,2: 22:[11, 68] Operation: 77-9=68
Exploring Operation: 77/11=7, Resulting Numbers: [9, 7]
Generated Node #0,2,3: 22:[9, 7] Operation: 77/11=7
Exploring Operation: 11+9=20, Resulting Numbers: [77, 20]
Generated Node #0,2,4: 22:[77, 20] Operation: 11+9=20
Moving to Node #0,2,3
Current State: 22:[9, 7], Operations: ['92-83=9', '77/11=7']
Exploring Operation: 9-7=2, Resulting Numbers: [2]
2,22 unequal: No Solution
Exploring Operation: 9+7=16, Resulting Numbers: [16]
16,22 unequal: No Solution
Exploring Operation: 9*7=63, Resulting Numbers: [63]
63,22 unequal: No Solution
Moving to Node #0,2,2
Current State: 22:[11, 68], Operations: ['92-83=9', '77-9=68']
Exploring Operation: 68-11=57, Resulting Numbers: [57]
57,22 unequal: No Solution
Exploring Operation: 11+68=79, Resulting Numbers: [79]
79,22 unequal: No Solution
Exploring Operation: 11*68=748, Resulting Numbers: [748]
748,22 unequal: No Solution
Moving to Node #0,2,0
Current State: 22:[9, 66], Operations: ['92-83=9', '77-11=66']
Exploring Operation: 9*66=594, Resulting Numbers: [594]
594,22 unequal: No Solution
Exploring Operation: 66-9=57, Resulting Numbers: [57]
57,22 unequal: No Solution
Exploring Operation: 9+66=75, Resulting Numbers: [75]
75,22 unequal: No Solution
Moving to Node #0,2,1
Current State: 22:[77, 2], Operations: ['92-83=9', '11-9=2']
Exploring Operation: 77*2=154, Resulting Numbers: [154]
154,22 unequal: No Solution
Exploring Operation: 77+2=79, Resulting Numbers: [79]
79,22 unequal: No Solution
Exploring Operation: 77-2=75, Resulting Numbers: [75]
75,22 unequal: No Solution
Moving to Node #0,2,4
Current State: 22:[77, 20], Operations: ['92-83=9', '11+9=20']
Exploring Operation: 77-20=57, Resulting Numbers: [57]
57,22 unequal: No Solution
Exploring Operation: 77*20=1540, Resulting Numbers: [1540]
1540,22 unequal: No Solution
Exploring Operation: 77+20=97, Resulting Numbers: [97]
97,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 22:[11, 83, 15], Operations: ['92-77=15']
Exploring Operation: 15-11=4, Resulting Numbers: [83, 4]
Generated Node #0,4,0: 22:[83, 4] Operation: 15-11=4
Exploring Operation: 83-15=68, Resulting Numbers: [11, 68]
Generated Node #0,4,1: 22:[11, 68] Operation: 83-15=68
Exploring Operation: 11+83=94, Resulting Numbers: [15, 94]
Generated Node #0,4,2: 22:[15, 94] Operation: 11+83=94
Exploring Operation: 11+15=26, Resulting Numbers: [83, 26]
Generated Node #0,4,3: 22:[83, 26] Operation: 11+15=26
Exploring Operation: 83-11=72, Resulting Numbers: [15, 72]
Generated Node #0,4,4: 22:[15, 72] Operation: 83-11=72
Moving to Node #0,4,1
Current State: 22:[11, 68], Operations: ['92-77=15', '83-15=68']
Exploring Operation: 68-11=57, Resulting Numbers: [57]
57,22 unequal: No Solution
Exploring Operation: 11*68=748, Resulting Numbers: [748]
748,22 unequal: No Solution
Exploring Operation: 11+68=79, Resulting Numbers: [79]
79,22 unequal: No Solution
Moving to Node #0,4,4
Current State: 22:[15, 72], Operations: ['92-77=15', '83-11=72']
Exploring Operation: 72-15=57, Resulting Numbers: [57]
57,22 unequal: No Solution
Exploring Operation: 15*72=1080, Resulting Numbers: [1080]
1080,22 unequal: No Solution
Exploring Operation: 15+72=87, Resulting Numbers: [87]
87,22 unequal: No Solution
Moving to Node #0,4,0
Current State: 22:[83, 4], Operations: ['92-77=15', '15-11=4']
Exploring Operation: 83+4=87, Resulting Numbers: [87]
87,22 unequal: No Solution
Exploring Operation: 83*4=332, Resulting Numbers: [332]
332,22 unequal: No Solution
Exploring Operation: 83-4=79, Resulting Numbers: [79]
79,22 unequal: No Solution
Moving to Node #0,4,3
Current State: 22:[83, 26], Operations: ['92-77=15', '11+15=26']
Exploring Operation: 83*26=2158, Resulting Numbers: [2158]
2158,22 unequal: No Solution
Exploring Operation: 83+26=109, Resulting Numbers: [109]
109,22 unequal: No Solution
Exploring Operation: 83-26=57, Resulting Numbers: [57]
57,22 unequal: No Solution
Moving to Node #0,4,2
Current State: 22:[15, 94], Operations: ['92-77=15', '11+83=94']
Exploring Operation: 15+94=109, Resulting Numbers: [109]
109,22 unequal: No Solution
Exploring Operation: 15*94=1410, Resulting Numbers: [1410]
1410,22 unequal: No Solution
Exploring Operation: 94-15=79, Resulting Numbers: [79]
79,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 22:[92, 11, 6], Operations: ['83-77=6']
Exploring Operation: 92+6=98, Resulting Numbers: [11, 98]
Generated Node #0,0,0: 22:[11, 98] Operation: 92+6=98
Exploring Operation: 92-11=81, Resulting Numbers: [6, 81]
Generated Node #0,0,1: 22:[6, 81] Operation: 92-11=81
Exploring Operation: 11-6=5, Resulting Numbers: [92, 5]
Generated Node #0,0,2: 22:[92, 5] Operation: 11-6=5
Exploring Operation: 92-6=86, Resulting Numbers: [11, 86]
Generated Node #0,0,3: 22:[11, 86] Operation: 92-6=86
Exploring Operation: 11+6=17, Resulting Numbers: [92, 17]
Generated Node #0,0,4: 22:[92, 17] Operation: 11+6=17
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 22:[6, 81], Operations: ['83-77=6', '92-11=81']
Exploring Operation: 6+81=87, Resulting Numbers: [87]
87,22 unequal: No Solution
Exploring Operation: 6*81=486, Resulting Numbers: [486]
486,22 unequal: No Solution
Exploring Operation: 81-6=75, Resulting Numbers: [75]
75,22 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 22:[11, 86], Operations: ['83-77=6', '92-6=86']
Exploring Operation: 11*86=946, Resulting Numbers: [946]
946,22 unequal: No Solution
Exploring Operation: 11+86=97, Resulting Numbers: [97]
97,22 unequal: No Solution
Exploring Operation: 86-11=75, Resulting Numbers: [75]
75,22 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 22:[92, 5], Operations: ['83-77=6', '11-6=5']
Exploring Operation: 92-5=87, Resulting Numbers: [87]
87,22 unequal: No Solution
Exploring Operation: 92+5=97, Resulting Numbers: [97]
97,22 unequal: No Solution
Exploring Operation: 92*5=460, Resulting Numbers: [460]
460,22 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 22:[92, 17], Operations: ['83-77=6', '11+6=17']
Exploring Operation: 92*17=1564, Resulting Numbers: [1564]
1564,22 unequal: No Solution
Exploring Operation: 92+17=109, Resulting Numbers: [109]
109,22 unequal: No Solution
Exploring Operation: 92-17=75, Resulting Numbers: [75]
75,22 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 22:[11, 98], Operations: ['83-77=6', '92+6=98']
Exploring Operation: 98-11=87, Resulting Numbers: [87]
87,22 unequal: No Solution
Exploring Operation: 11*98=1078, Resulting Numbers: [1078]
1078,22 unequal: No Solution
Exploring Operation: 11+98=109, Resulting Numbers: [109]
109,22 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 22:[92, 83, 7], Operations: ['77/11=7']
Exploring Operation: 83+7=90, Resulting Numbers: [92, 90]
Generated Node #0,1,0: 22:[92, 90] Operation: 83+7=90
Exploring Operation: 92-7=85, Resulting Numbers: [83, 85]
Generated Node #0,1,1: 22:[83, 85] Operation: 92-7=85
Exploring Operation: 92+7=99, Resulting Numbers: [83, 99]
Generated Node #0,1,2: 22:[83, 99] Operation: 92+7=99
Exploring Operation: 83-7=76, Resulting Numbers: [92, 76]
Generated Node #0,1,3: 22:[92, 76] Operation: 83-7=76
Exploring Operation: 92-83=9, Resulting Numbers: [7, 9]
Generated Node #0,1,4: 22:[7, 9] Operation: 92-83=9
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 22:[7, 9], Operations: ['77/11=7', '92-83=9']
Exploring Operation: 9-7=2, Resulting Numbers: [2]
2,22 unequal: No Solution
Exploring Operation: 7+9=16, Resulting Numbers: [16]
16,22 unequal: No Solution
Exploring Operation: 7*9=63, Resulting Numbers: [63]
63,22 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 22:[83, 85], Operations: ['77/11=7', '92-7=85']
Exploring Operation: 85-83=2, Resulting Numbers: [2]
2,22 unequal: No Solution
Exploring Operation: 83*85=7055, Resulting Numbers: [7055]
7055,22 unequal: No Solution
Exploring Operation: 83+85=168, Resulting Numbers: [168]
168,22 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 22:[92, 76], Operations: ['77/11=7', '83-7=76']
Exploring Operation: 92-76=16, Resulting Numbers: [16]
16,22 unequal: No Solution
Exploring Operation: 92*76=6992, Resulting Numbers: [6992]
6992,22 unequal: No Solution
Exploring Operation: 92+76=168, Resulting Numbers: [168]
168,22 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 22:[92, 90], Operations: ['77/11=7', '83+7=90']
Exploring Operation: 92+90=182, Resulting Numbers: [182]
182,22 unequal: No Solution
Exploring Operation: 92*90=8280, Resulting Numbers: [8280]
8280,22 unequal: No Solution
Exploring Operation: 92-90=2, Resulting Numbers: [2]
2,22 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 22:[83, 99], Operations: ['77/11=7', '92+7=99']
Exploring Operation: 83*99=8217, Resulting Numbers: [8217]
8217,22 unequal: No Solution
Exploring Operation: 99-83=16, Resulting Numbers: [16]
16,22 unequal: No Solution
Exploring Operation: 83+99=182, Resulting Numbers: [182]
182,22 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 22:[77, 83, 81], Operations: ['92-11=81']
Exploring Operation: 83-77=6, Resulting Numbers: [81, 6]
Generated Node #0,3,0: 22:[81, 6] Operation: 83-77=6
Exploring Operation: 77+83=160, Resulting Numbers: [81, 160]
Generated Node #0,3,1: 22:[81, 160] Operation: 77+83=160
Exploring Operation: 77+81=158, Resulting Numbers: [83, 158]
Generated Node #0,3,2: 22:[83, 158] Operation: 77+81=158
Exploring Operation: 83-81=2, Resulting Numbers: [77, 2]
Generated Node #0,3,3: 22:[77, 2] Operation: 83-81=2
Exploring Operation: 81-77=4, Resulting Numbers: [83, 4]
Generated Node #0,3,4: 22:[83, 4] Operation: 81-77=4
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 22:[77, 2], Operations: ['92-11=81', '83-81=2']
Exploring Operation: 77*2=154, Resulting Numbers: [154]
154,22 unequal: No Solution
Exploring Operation: 77+2=79, Resulting Numbers: [79]
79,22 unequal: No Solution
Exploring Operation: 77-2=75, Resulting Numbers: [75]
75,22 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 22:[81, 6], Operations: ['92-11=81', '83-77=6']
Exploring Operation: 81*6=486, Resulting Numbers: [486]
486,22 unequal: No Solution
Exploring Operation: 81-6=75, Resulting Numbers: [75]
75,22 unequal: No Solution
Exploring Operation: 81+6=87, Resulting Numbers: [87]
87,22 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 22:[83, 4], Operations: ['92-11=81', '81-77=4']
Exploring Operation: 83+4=87, Resulting Numbers: [87]
87,22 unequal: No Solution
Exploring Operation: 83*4=332, Resulting Numbers: [332]
332,22 unequal: No Solution
Exploring Operation: 83-4=79, Resulting Numbers: [79]
79,22 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 22:[81, 160], Operations: ['92-11=81', '77+83=160']
Exploring Operation: 81+160=241, Resulting Numbers: [241]
241,22 unequal: No Solution
Exploring Operation: 160-81=79, Resulting Numbers: [79]
79,22 unequal: No Solution
Exploring Operation: 81*160=12960, Resulting Numbers: [12960]
12960,22 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 22:[83, 158], Operations: ['92-11=81', '77+81=158']
Exploring Operation: 83*158=13114, Resulting Numbers: [13114]
13114,22 unequal: No Solution
Exploring Operation: 158-83=75, Resulting Numbers: [75]
75,22 unequal: No Solution
Exploring Operation: 83+158=241, Resulting Numbers: [241]
241,22 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
65,
48,
66,
98
] | 46 | [
"98-65=33",
"66/33=2",
"48-2=46"
] | Current State: 46:[65, 48, 66, 98], Operations: []
Exploring Operation: 98-65=33, Resulting Numbers: [48, 66, 33]
Generated Node #2: [48, 66, 33] from Operation: 98-65=33
Current State: 46:[48, 66, 33], Operations: ['98-65=33']
Exploring Operation: 66/33=2, Resulting Numbers: [48, 2]
Generated Node #3: [48, 2] from Operation: 66/33=2
Current State: 46:[48, 2], Operations: ['98-65=33', '66/33=2']
Exploring Operation: 48-2=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[65, 48, 66, 98], Operations: []
Exploring Operation: 98-65=33, Resulting Numbers: [48, 66, 33]
Generated Node #0,0: 46:[48, 66, 33] Operation: 98-65=33
Exploring Operation: 98-66=32, Resulting Numbers: [65, 48, 32]
Generated Node #0,1: 46:[65, 48, 32] Operation: 98-66=32
Start Sub Search at level 1: Moving to Node #0,1
Current State: 46:[65, 48, 32], Operations: ['98-66=32']
Exploring Operation: 65-48=17, Resulting Numbers: [32, 17]
Generated Node #0,1,0: 46:[32, 17] Operation: 65-48=17
Exploring Operation: 65-32=33, Resulting Numbers: [48, 33]
Generated Node #0,1,1: 46:[48, 33] Operation: 65-32=33
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 46:[48, 33], Operations: ['98-66=32', '65-32=33']
Exploring Operation: 48-33=15, Resulting Numbers: [15]
15,46 unequal: No Solution
Exploring Operation: 48+33=81, Resulting Numbers: [81]
81,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 46:[32, 17], Operations: ['98-66=32', '65-48=17']
Exploring Operation: 32-17=15, Resulting Numbers: [15]
15,46 unequal: No Solution
Exploring Operation: 32+17=49, Resulting Numbers: [49]
49,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 46:[48, 66, 33], Operations: ['98-65=33']
Exploring Operation: 66-33=33, Resulting Numbers: [48, 33]
Generated Node #0,0,0: 46:[48, 33] Operation: 66-33=33
Exploring Operation: 66/33=2, Resulting Numbers: [48, 2]
Generated Node #0,0,1: 46:[48, 2] Operation: 66/33=2
Moving to Node #0,0,1
Current State: 46:[48, 2], Operations: ['98-65=33', '66/33=2']
Exploring Operation: 48/2=24, Resulting Numbers: [24]
24,46 unequal: No Solution
Exploring Operation: 48-2=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Moving to Node #0
Current State: 46:[65, 48, 66, 98], Operations: []
Exploring Operation: 98-65=33, Resulting Numbers: [48, 66, 33]
Generated Node #0,0: 46:[48, 66, 33] Operation: 98-65=33
Moving to Node #0,0
Current State: 46:[48, 66, 33], Operations: ['98-65=33']
Exploring Operation: 66/33=2, Resulting Numbers: [48, 2]
Generated Node #0,0,1: 46:[48, 2] Operation: 66/33=2
Moving to Node #0,0,1
Current State: 46:[48, 2], Operations: ['98-65=33', '66/33=2']
Exploring Operation: 48-2=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_2 | sum_heuristic |
[
49,
66,
40,
8
] | 31 | [
"66-49=17",
"40+8=48",
"48-17=31"
] | Current State: 31:[49, 66, 40, 8], Operations: []
Exploring Operation: 66-49=17, Resulting Numbers: [40, 8, 17]
Generated Node #2: [40, 8, 17] from Operation: 66-49=17
Current State: 31:[40, 8, 17], Operations: ['66-49=17']
Exploring Operation: 40+8=48, Resulting Numbers: [17, 48]
Generated Node #3: [17, 48] from Operation: 40+8=48
Current State: 31:[17, 48], Operations: ['66-49=17', '40+8=48']
Exploring Operation: 48-17=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[49, 66, 40, 8], Operations: []
Exploring Operation: 66-49=17, Resulting Numbers: [40, 8, 17]
Generated Node #0,0: 31:[40, 8, 17] Operation: 66-49=17
Exploring Operation: 66-8=58, Resulting Numbers: [49, 40, 58]
Generated Node #0,1: 31:[49, 40, 58] Operation: 66-8=58
Exploring Operation: 49-8=41, Resulting Numbers: [66, 40, 41]
Generated Node #0,2: 31:[66, 40, 41] Operation: 49-8=41
Exploring Operation: 66-40=26, Resulting Numbers: [49, 8, 26]
Generated Node #0,3: 31:[49, 8, 26] Operation: 66-40=26
Start Sub Search at level 1: Moving to Node #0,0
Current State: 31:[40, 8, 17], Operations: ['66-49=17']
Exploring Operation: 40-8=32, Resulting Numbers: [17, 32]
Generated Node #0,0,0: 31:[17, 32] Operation: 40-8=32
Exploring Operation: 40+8=48, Resulting Numbers: [17, 48]
Generated Node #0,0,1: 31:[17, 48] Operation: 40+8=48
Exploring Operation: 40-17=23, Resulting Numbers: [8, 23]
Generated Node #0,0,2: 31:[8, 23] Operation: 40-17=23
Exploring Operation: 8+17=25, Resulting Numbers: [40, 25]
Generated Node #0,0,3: 31:[40, 25] Operation: 8+17=25
Moving to Node #0,0,0
Current State: 31:[17, 32], Operations: ['66-49=17', '40-8=32']
Exploring Operation: 17*32=544, Resulting Numbers: [544]
544,31 unequal: No Solution
Exploring Operation: 32-17=15, Resulting Numbers: [15]
15,31 unequal: No Solution
Exploring Operation: 17+32=49, Resulting Numbers: [49]
49,31 unequal: No Solution
Moving to Node #0,0,3
Current State: 31:[40, 25], Operations: ['66-49=17', '8+17=25']
Exploring Operation: 40+25=65, Resulting Numbers: [65]
65,31 unequal: No Solution
Exploring Operation: 40*25=1000, Resulting Numbers: [1000]
1000,31 unequal: No Solution
Exploring Operation: 40-25=15, Resulting Numbers: [15]
15,31 unequal: No Solution
Moving to Node #0,0,2
Current State: 31:[8, 23], Operations: ['66-49=17', '40-17=23']
Exploring Operation: 23-8=15, Resulting Numbers: [15]
15,31 unequal: No Solution
Exploring Operation: 8*23=184, Resulting Numbers: [184]
184,31 unequal: No Solution
Exploring Operation: 8+23=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Moving to Node #0
Current State: 31:[49, 66, 40, 8], Operations: []
Exploring Operation: 66-49=17, Resulting Numbers: [40, 8, 17]
Generated Node #0,0: 31:[40, 8, 17] Operation: 66-49=17
Moving to Node #0,0
Current State: 31:[40, 8, 17], Operations: ['66-49=17']
Exploring Operation: 40-17=23, Resulting Numbers: [8, 23]
Generated Node #0,0,2: 31:[8, 23] Operation: 40-17=23
Moving to Node #0,0,2
Current State: 31:[8, 23], Operations: ['66-49=17', '40-17=23']
Exploring Operation: 8+23=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771 | hs_4 | sum_heuristic |
[
26,
85,
93,
63
] | 97 | [
"85-26=59",
"93+63=156",
"156-59=97"
] | Current State: 97:[26, 85, 93, 63], Operations: []
Exploring Operation: 85-26=59, Resulting Numbers: [93, 63, 59]
Generated Node #2: [93, 63, 59] from Operation: 85-26=59
Current State: 97:[93, 63, 59], Operations: ['85-26=59']
Exploring Operation: 93+63=156, Resulting Numbers: [59, 156]
Generated Node #3: [59, 156] from Operation: 93+63=156
Current State: 97:[59, 156], Operations: ['85-26=59', '93+63=156']
Exploring Operation: 156-59=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[26, 85, 93, 63], Operations: []
Exploring Operation: 26+93=119, Resulting Numbers: [85, 63, 119]
Generated Node #0,0: 97:[85, 63, 119] Operation: 26+93=119
Exploring Operation: 26+85=111, Resulting Numbers: [93, 63, 111]
Generated Node #0,1: 97:[93, 63, 111] Operation: 26+85=111
Exploring Operation: 85-26=59, Resulting Numbers: [93, 63, 59]
Generated Node #0,2: 97:[93, 63, 59] Operation: 85-26=59
Exploring Operation: 93-26=67, Resulting Numbers: [85, 63, 67]
Generated Node #0,3: 97:[85, 63, 67] Operation: 93-26=67
Exploring Operation: 26+63=89, Resulting Numbers: [85, 93, 89]
Generated Node #0,4: 97:[85, 93, 89] Operation: 26+63=89
Moving to Node #0,4
Current State: 97:[85, 93, 89], Operations: ['26+63=89']
Exploring Operation: 89-85=4, Resulting Numbers: [93, 4]
Generated Node #0,4,0: 97:[93, 4] Operation: 89-85=4
Exploring Operation: 93+89=182, Resulting Numbers: [85, 182]
Generated Node #0,4,1: 97:[85, 182] Operation: 93+89=182
Exploring Operation: 93-85=8, Resulting Numbers: [89, 8]
Generated Node #0,4,2: 97:[89, 8] Operation: 93-85=8
Exploring Operation: 85+93=178, Resulting Numbers: [89, 178]
Generated Node #0,4,3: 97:[89, 178] Operation: 85+93=178
Exploring Operation: 85+89=174, Resulting Numbers: [93, 174]
Generated Node #0,4,4: 97:[93, 174] Operation: 85+89=174
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 97:[93, 174], Operations: ['26+63=89', '85+89=174']
Exploring Operation: 174-93=81, Resulting Numbers: [81]
81,97 unequal: No Solution
Exploring Operation: 93*174=16182, Resulting Numbers: [16182]
16182,97 unequal: No Solution
Exploring Operation: 93+174=267, Resulting Numbers: [267]
267,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 97:[89, 178], Operations: ['26+63=89', '85+93=178']
Exploring Operation: 89+178=267, Resulting Numbers: [267]
267,97 unequal: No Solution
Exploring Operation: 89*178=15842, Resulting Numbers: [15842]
15842,97 unequal: No Solution
Exploring Operation: 178-89=89, Resulting Numbers: [89]
89,97 unequal: No Solution
Exploring Operation: 178/89=2, Resulting Numbers: [2]
2,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 97:[93, 4], Operations: ['26+63=89', '89-85=4']
Exploring Operation: 93+4=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Moving to Node #0
Current State: 97:[26, 85, 93, 63], Operations: []
Exploring Operation: 26+63=89, Resulting Numbers: [85, 93, 89]
Generated Node #0,4: 97:[85, 93, 89] Operation: 26+63=89
Moving to Node #0,4
Current State: 97:[85, 93, 89], Operations: ['26+63=89']
Exploring Operation: 89-85=4, Resulting Numbers: [93, 4]
Generated Node #0,4,0: 97:[93, 4] Operation: 89-85=4
Moving to Node #0,4,0
Current State: 97:[93, 4], Operations: ['26+63=89', '89-85=4']
Exploring Operation: 93+4=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Exit Sub Search at level 1
| 0.980903 | hs_5 | mult_heuristic |
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