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 |
|---|---|---|---|---|---|---|---|---|
[
93,
86,
18,
42
] | 67 | [
"93-86=7",
"18+42=60",
"7+60=67"
] | Current State: 67:[93, 86, 18, 42], Operations: []
Exploring Operation: 93-86=7, Resulting Numbers: [18, 42, 7]
Generated Node #2: [18, 42, 7] from Operation: 93-86=7
Current State: 67:[18, 42, 7], Operations: ['93-86=7']
Exploring Operation: 18+42=60, Resulting Numbers: [7, 60]
Generated Node #3: [7, 60] from Operation: 18+42=60
Current State: 67:[7, 60], Operations: ['93-86=7', '18+42=60']
Exploring Operation: 7+60=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[93, 86, 18, 42], Operations: []
Exploring Operation: 86-18=68, Resulting Numbers: [93, 42, 68]
Generated Node #0,0: 67:[93, 42, 68] Operation: 86-18=68
Exploring Operation: 93-18=75, Resulting Numbers: [86, 42, 75]
Generated Node #0,1: 67:[86, 42, 75] Operation: 93-18=75
Moving to Node #0,0
Current State: 67:[93, 42, 68], Operations: ['86-18=68']
Exploring Operation: 93-42=51, Resulting Numbers: [68, 51]
Generated Node #0,0,0: 67:[68, 51] Operation: 93-42=51
Exploring Operation: 93-68=25, Resulting Numbers: [42, 25]
Generated Node #0,0,1: 67:[42, 25] Operation: 93-68=25
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 67:[68, 51], Operations: ['86-18=68', '93-42=51']
Exploring Operation: 68+51=119, Resulting Numbers: [119]
119,67 unequal: No Solution
Exploring Operation: 68-51=17, Resulting Numbers: [17]
17,67 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 #0,0,1
Current State: 67:[42, 25], Operations: ['86-18=68', '93-68=25']
Exploring Operation: 42-25=17, Resulting Numbers: [17]
17,67 unequal: No Solution
Exploring Operation: 42+25=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
Moving to Node #0
Current State: 67:[93, 86, 18, 42], Operations: []
Exploring Operation: 86-18=68, Resulting Numbers: [93, 42, 68]
Generated Node #0,0: 67:[93, 42, 68] Operation: 86-18=68
Moving to Node #0,0
Current State: 67:[93, 42, 68], Operations: ['86-18=68']
Exploring Operation: 93-68=25, Resulting Numbers: [42, 25]
Generated Node #0,0,1: 67:[42, 25] Operation: 93-68=25
Moving to Node #0,0,1
Current State: 67:[42, 25], Operations: ['86-18=68', '93-68=25']
Exploring Operation: 42+25=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_2 | mult_heuristic |
[
37,
20,
95,
5
] | 36 | [
"37-20=17",
"95/5=19",
"17+19=36"
] | Current State: 36:[37, 20, 95, 5], Operations: []
Exploring Operation: 37-20=17, Resulting Numbers: [95, 5, 17]
Generated Node #2: [95, 5, 17] from Operation: 37-20=17
Current State: 36:[95, 5, 17], Operations: ['37-20=17']
Exploring Operation: 95/5=19, Resulting Numbers: [17, 19]
Generated Node #3: [17, 19] from Operation: 95/5=19
Current State: 36:[17, 19], Operations: ['37-20=17', '95/5=19']
Exploring Operation: 17+19=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[37, 20, 95, 5], Operations: []
Exploring Operation: 95/5=19, Resulting Numbers: [37, 20, 19]
Generated Node #0,0: 36:[37, 20, 19] Operation: 95/5=19
Start Sub Search at level 1: Moving to Node #0,0
Current State: 36:[37, 20, 19], Operations: ['95/5=19']
Exploring Operation: 37-20=17, Resulting Numbers: [19, 17]
Generated Node #0,0,0: 36:[19, 17] Operation: 37-20=17
Moving to Node #0,0,0
Current State: 36:[19, 17], Operations: ['95/5=19', '37-20=17']
Exploring Operation: 19+17=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Moving to Node #0
Current State: 36:[37, 20, 95, 5], Operations: []
Exploring Operation: 95/5=19, Resulting Numbers: [37, 20, 19]
Generated Node #0,0: 36:[37, 20, 19] Operation: 95/5=19
Moving to Node #0,0
Current State: 36:[37, 20, 19], Operations: ['95/5=19']
Exploring Operation: 37-20=17, Resulting Numbers: [19, 17]
Generated Node #0,0,0: 36:[19, 17] Operation: 37-20=17
Moving to Node #0,0,0
Current State: 36:[19, 17], Operations: ['95/5=19', '37-20=17']
Exploring Operation: 19+17=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
2,
66,
76,
81
] | 53 | [
"76/2=38",
"81-66=15",
"38+15=53"
] | Current State: 53:[2, 66, 76, 81], Operations: []
Exploring Operation: 76/2=38, Resulting Numbers: [66, 81, 38]
Generated Node #2: [66, 81, 38] from Operation: 76/2=38
Current State: 53:[66, 81, 38], Operations: ['76/2=38']
Exploring Operation: 81-66=15, Resulting Numbers: [38, 15]
Generated Node #3: [38, 15] from Operation: 81-66=15
Current State: 53:[38, 15], Operations: ['76/2=38', '81-66=15']
Exploring Operation: 38+15=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[2, 66, 76, 81], Operations: []
Exploring Operation: 76-2=74, Resulting Numbers: [66, 81, 74]
Generated Node #0,0: 53:[66, 81, 74] Operation: 76-2=74
Exploring Operation: 66-2=64, Resulting Numbers: [76, 81, 64]
Generated Node #0,1: 53:[76, 81, 64] Operation: 66-2=64
Exploring Operation: 81-2=79, Resulting Numbers: [66, 76, 79]
Generated Node #0,2: 53:[66, 76, 79] Operation: 81-2=79
Exploring Operation: 76/2=38, Resulting Numbers: [66, 81, 38]
Generated Node #0,3: 53:[66, 81, 38] Operation: 76/2=38
Start Sub Search at level 1: Moving to Node #0,3
Current State: 53:[66, 81, 38], Operations: ['76/2=38']
Exploring Operation: 66+38=104, Resulting Numbers: [81, 104]
Generated Node #0,3,0: 53:[81, 104] Operation: 66+38=104
Exploring Operation: 66-38=28, Resulting Numbers: [81, 28]
Generated Node #0,3,1: 53:[81, 28] Operation: 66-38=28
Exploring Operation: 81-66=15, Resulting Numbers: [38, 15]
Generated Node #0,3,2: 53:[38, 15] Operation: 81-66=15
Exploring Operation: 81-38=43, Resulting Numbers: [66, 43]
Generated Node #0,3,3: 53:[66, 43] Operation: 81-38=43
Moving to Node #0,3,3
Current State: 53:[66, 43], Operations: ['76/2=38', '81-38=43']
Exploring Operation: 66*43=2838, Resulting Numbers: [2838]
2838,53 unequal: No Solution
Exploring Operation: 66+43=109, Resulting Numbers: [109]
109,53 unequal: No Solution
Exploring Operation: 66-43=23, Resulting Numbers: [23]
23,53 unequal: No Solution
Moving to Node #0,3,2
Current State: 53:[38, 15], Operations: ['76/2=38', '81-66=15']
Exploring Operation: 38+15=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Moving to Node #0
Current State: 53:[2, 66, 76, 81], Operations: []
Exploring Operation: 76/2=38, Resulting Numbers: [66, 81, 38]
Generated Node #0,3: 53:[66, 81, 38] Operation: 76/2=38
Moving to Node #0,3
Current State: 53:[66, 81, 38], Operations: ['76/2=38']
Exploring Operation: 81-66=15, Resulting Numbers: [38, 15]
Generated Node #0,3,2: 53:[38, 15] Operation: 81-66=15
Moving to Node #0,3,2
Current State: 53:[38, 15], Operations: ['76/2=38', '81-66=15']
Exploring Operation: 38+15=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_4 | mult_heuristic |
[
46,
3,
93,
60
] | 27 | [
"93-46=47",
"60/3=20",
"47-20=27"
] | Current State: 27:[46, 3, 93, 60], Operations: []
Exploring Operation: 93-46=47, Resulting Numbers: [3, 60, 47]
Generated Node #2: [3, 60, 47] from Operation: 93-46=47
Current State: 27:[3, 60, 47], Operations: ['93-46=47']
Exploring Operation: 60/3=20, Resulting Numbers: [47, 20]
Generated Node #3: [47, 20] from Operation: 60/3=20
Current State: 27:[47, 20], Operations: ['93-46=47', '60/3=20']
Exploring Operation: 47-20=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[46, 3, 93, 60], Operations: []
Exploring Operation: 93-60=33, Resulting Numbers: [46, 3, 33]
Generated Node #0,0: 27:[46, 3, 33] Operation: 93-60=33
Start Sub Search at level 1: Moving to Node #0,0
Current State: 27:[46, 3, 33], Operations: ['93-60=33']
Exploring Operation: 46-33=13, Resulting Numbers: [3, 13]
Generated Node #0,0,0: 27:[3, 13] Operation: 46-33=13
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 27:[3, 13], Operations: ['93-60=33', '46-33=13']
Exploring Operation: 13-3=10, Resulting Numbers: [10]
10,27 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 |
[
6,
39,
24,
30
] | 31 | [
"39*24=936",
"936-6=930",
"930/30=31"
] | Current State: 31:[6, 39, 24, 30], Operations: []
Exploring Operation: 39*24=936, Resulting Numbers: [6, 30, 936]
Generated Node #2: [6, 30, 936] from Operation: 39*24=936
Current State: 31:[6, 30, 936], Operations: ['39*24=936']
Exploring Operation: 936-6=930, Resulting Numbers: [30, 930]
Generated Node #3: [30, 930] from Operation: 936-6=930
Current State: 31:[30, 930], Operations: ['39*24=936', '936-6=930']
Exploring Operation: 930/30=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[6, 39, 24, 30], Operations: []
Exploring Operation: 39-6=33, Resulting Numbers: [24, 30, 33]
Generated Node #0,0: 31:[24, 30, 33] Operation: 39-6=33
Moving to Node #0,0
Current State: 31:[24, 30, 33], Operations: ['39-6=33']
Exploring Operation: 33-24=9, Resulting Numbers: [30, 9]
Generated Node #0,0,0: 31:[30, 9] Operation: 33-24=9
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 31:[30, 9], Operations: ['39-6=33', '33-24=9']
Exploring Operation: 30+9=39, Resulting Numbers: [39]
39,31 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 |
[
40,
60,
6,
82
] | 17 | [
"60-40=20",
"82+20=102",
"102/6=17"
] | Current State: 17:[40, 60, 6, 82], Operations: []
Exploring Operation: 60-40=20, Resulting Numbers: [6, 82, 20]
Generated Node #2: [6, 82, 20] from Operation: 60-40=20
Current State: 17:[6, 82, 20], Operations: ['60-40=20']
Exploring Operation: 82+20=102, Resulting Numbers: [6, 102]
Generated Node #3: [6, 102] from Operation: 82+20=102
Current State: 17:[6, 102], Operations: ['60-40=20', '82+20=102']
Exploring Operation: 102/6=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[40, 60, 6, 82], Operations: []
Exploring Operation: 60-40=20, Resulting Numbers: [6, 82, 20]
Generated Node #0,0: 17:[6, 82, 20] Operation: 60-40=20
Exploring Operation: 60/6=10, Resulting Numbers: [40, 82, 10]
Generated Node #0,1: 17:[40, 82, 10] Operation: 60/6=10
Exploring Operation: 82-60=22, Resulting Numbers: [40, 6, 22]
Generated Node #0,2: 17:[40, 6, 22] Operation: 82-60=22
Exploring Operation: 82-40=42, Resulting Numbers: [60, 6, 42]
Generated Node #0,3: 17:[60, 6, 42] Operation: 82-40=42
Start Sub Search at level 1: Moving to Node #0,2
Current State: 17:[40, 6, 22], Operations: ['82-60=22']
Exploring Operation: 40-6=34, Resulting Numbers: [22, 34]
Generated Node #0,2,0: 17:[22, 34] Operation: 40-6=34
Exploring Operation: 22-6=16, Resulting Numbers: [40, 16]
Generated Node #0,2,1: 17:[40, 16] Operation: 22-6=16
Exploring Operation: 40+6=46, Resulting Numbers: [22, 46]
Generated Node #0,2,2: 17:[22, 46] Operation: 40+6=46
Exploring Operation: 40-22=18, Resulting Numbers: [6, 18]
Generated Node #0,2,3: 17:[6, 18] Operation: 40-22=18
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 17:[6, 18], Operations: ['82-60=22', '40-22=18']
Exploring Operation: 18/6=3, Resulting Numbers: [3]
3,17 unequal: No Solution
Exploring Operation: 6+18=24, Resulting Numbers: [24]
24,17 unequal: No Solution
Exploring Operation: 6*18=108, Resulting Numbers: [108]
108,17 unequal: No Solution
Exploring Operation: 18-6=12, Resulting Numbers: [12]
12,17 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: 17:[22, 34], Operations: ['82-60=22', '40-6=34']
Exploring Operation: 22+34=56, Resulting Numbers: [56]
56,17 unequal: No Solution
Exploring Operation: 22*34=748, Resulting Numbers: [748]
748,17 unequal: No Solution
Exploring Operation: 34-22=12, Resulting Numbers: [12]
12,17 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: 17:[40, 16], Operations: ['82-60=22', '22-6=16']
Exploring Operation: 40-16=24, Resulting Numbers: [24]
24,17 unequal: No Solution
Exploring Operation: 40+16=56, Resulting Numbers: [56]
56,17 unequal: No Solution
Exploring Operation: 40*16=640, Resulting Numbers: [640]
640,17 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: 17:[22, 46], Operations: ['82-60=22', '40+6=46']
Exploring Operation: 46-22=24, Resulting Numbers: [24]
24,17 unequal: No Solution
Exploring Operation: 22+46=68, Resulting Numbers: [68]
68,17 unequal: No Solution
Exploring Operation: 22*46=1012, Resulting Numbers: [1012]
1012,17 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: 17:[6, 82, 20], Operations: ['60-40=20']
Exploring Operation: 20-6=14, Resulting Numbers: [82, 14]
Generated Node #0,0,0: 17:[82, 14] Operation: 20-6=14
Exploring Operation: 82-20=62, Resulting Numbers: [6, 62]
Generated Node #0,0,1: 17:[6, 62] Operation: 82-20=62
Exploring Operation: 82-6=76, Resulting Numbers: [20, 76]
Generated Node #0,0,2: 17:[20, 76] Operation: 82-6=76
Exploring Operation: 6+82=88, Resulting Numbers: [20, 88]
Generated Node #0,0,3: 17:[20, 88] Operation: 6+82=88
Moving to Node #0,0,1
Current State: 17:[6, 62], Operations: ['60-40=20', '82-20=62']
Exploring Operation: 6+62=68, Resulting Numbers: [68]
68,17 unequal: No Solution
Exploring Operation: 62-6=56, Resulting Numbers: [56]
56,17 unequal: No Solution
Exploring Operation: 6*62=372, Resulting Numbers: [372]
372,17 unequal: No Solution
Moving to Node #0,0,2
Current State: 17:[20, 76], Operations: ['60-40=20', '82-6=76']
Exploring Operation: 76-20=56, Resulting Numbers: [56]
56,17 unequal: No Solution
Exploring Operation: 20*76=1520, Resulting Numbers: [1520]
1520,17 unequal: No Solution
Exploring Operation: 20+76=96, Resulting Numbers: [96]
96,17 unequal: No Solution
Moving to Node #0,0,0
Current State: 17:[82, 14], Operations: ['60-40=20', '20-6=14']
Exploring Operation: 82-14=68, Resulting Numbers: [68]
68,17 unequal: No Solution
Exploring Operation: 82*14=1148, Resulting Numbers: [1148]
1148,17 unequal: No Solution
Exploring Operation: 82+14=96, Resulting Numbers: [96]
96,17 unequal: No Solution
Moving to Node #0,0,3
Current State: 17:[20, 88], Operations: ['60-40=20', '6+82=88']
Exploring Operation: 20*88=1760, Resulting Numbers: [1760]
1760,17 unequal: No Solution
Exploring Operation: 20+88=108, Resulting Numbers: [108]
108,17 unequal: No Solution
Exploring Operation: 88-20=68, Resulting Numbers: [68]
68,17 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: 17:[60, 6, 42], Operations: ['82-40=42']
Exploring Operation: 60-42=18, Resulting Numbers: [6, 18]
Generated Node #0,3,0: 17:[6, 18] Operation: 60-42=18
Exploring Operation: 60-6=54, Resulting Numbers: [42, 54]
Generated Node #0,3,1: 17:[42, 54] Operation: 60-6=54
Exploring Operation: 60/6=10, Resulting Numbers: [42, 10]
Generated Node #0,3,2: 17:[42, 10] Operation: 60/6=10
Exploring Operation: 42/6=7, Resulting Numbers: [60, 7]
Generated Node #0,3,3: 17:[60, 7] Operation: 42/6=7
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 17:[6, 18], Operations: ['82-40=42', '60-42=18']
Exploring Operation: 6*18=108, Resulting Numbers: [108]
108,17 unequal: No Solution
Exploring Operation: 6+18=24, Resulting Numbers: [24]
24,17 unequal: No Solution
Exploring Operation: 18/6=3, Resulting Numbers: [3]
3,17 unequal: No Solution
Exploring Operation: 18-6=12, Resulting Numbers: [12]
12,17 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: 17:[42, 10], Operations: ['82-40=42', '60/6=10']
Exploring Operation: 42+10=52, Resulting Numbers: [52]
52,17 unequal: No Solution
Exploring Operation: 42*10=420, Resulting Numbers: [420]
420,17 unequal: No Solution
Exploring Operation: 42-10=32, Resulting Numbers: [32]
32,17 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: 17:[60, 7], Operations: ['82-40=42', '42/6=7']
Exploring Operation: 60-7=53, Resulting Numbers: [53]
53,17 unequal: No Solution
Exploring Operation: 60+7=67, Resulting Numbers: [67]
67,17 unequal: No Solution
Exploring Operation: 60*7=420, Resulting Numbers: [420]
420,17 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: 17:[42, 54], Operations: ['82-40=42', '60-6=54']
Exploring Operation: 42*54=2268, Resulting Numbers: [2268]
2268,17 unequal: No Solution
Exploring Operation: 54-42=12, Resulting Numbers: [12]
12,17 unequal: No Solution
Exploring Operation: 42+54=96, Resulting Numbers: [96]
96,17 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: 17:[40, 82, 10], Operations: ['60/6=10']
Exploring Operation: 40/10=4, Resulting Numbers: [82, 4]
Generated Node #0,1,0: 17:[82, 4] Operation: 40/10=4
Exploring Operation: 82-10=72, Resulting Numbers: [40, 72]
Generated Node #0,1,1: 17:[40, 72] Operation: 82-10=72
Exploring Operation: 82-40=42, Resulting Numbers: [10, 42]
Generated Node #0,1,2: 17:[10, 42] Operation: 82-40=42
Exploring Operation: 40-10=30, Resulting Numbers: [82, 30]
Generated Node #0,1,3: 17:[82, 30] Operation: 40-10=30
Moving to Node #0,1,2
Current State: 17:[10, 42], Operations: ['60/6=10', '82-40=42']
Exploring Operation: 10*42=420, Resulting Numbers: [420]
420,17 unequal: No Solution
Exploring Operation: 10+42=52, Resulting Numbers: [52]
52,17 unequal: No Solution
Exploring Operation: 42-10=32, Resulting Numbers: [32]
32,17 unequal: No Solution
Moving to Node #0,1,1
Current State: 17:[40, 72], Operations: ['60/6=10', '82-10=72']
Exploring Operation: 40*72=2880, Resulting Numbers: [2880]
2880,17 unequal: No Solution
Exploring Operation: 40+72=112, Resulting Numbers: [112]
112,17 unequal: No Solution
Exploring Operation: 72-40=32, Resulting Numbers: [32]
32,17 unequal: No Solution
Moving to Node #0,1,0
Current State: 17:[82, 4], Operations: ['60/6=10', '40/10=4']
Exploring Operation: 82+4=86, Resulting Numbers: [86]
86,17 unequal: No Solution
Exploring Operation: 82*4=328, Resulting Numbers: [328]
328,17 unequal: No Solution
Exploring Operation: 82-4=78, Resulting Numbers: [78]
78,17 unequal: No Solution
Moving to Node #0,1,3
Current State: 17:[82, 30], Operations: ['60/6=10', '40-10=30']
Exploring Operation: 82*30=2460, Resulting Numbers: [2460]
2460,17 unequal: No Solution
Exploring Operation: 82+30=112, Resulting Numbers: [112]
112,17 unequal: No Solution
Exploring Operation: 82-30=52, Resulting Numbers: [52]
52,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
37,
39,
56,
28
] | 14 | [
"39-37=2",
"56-28=28",
"28/2=14"
] | Current State: 14:[37, 39, 56, 28], Operations: []
Exploring Operation: 39-37=2, Resulting Numbers: [56, 28, 2]
Generated Node #2: [56, 28, 2] from Operation: 39-37=2
Current State: 14:[56, 28, 2], Operations: ['39-37=2']
Exploring Operation: 56-28=28, Resulting Numbers: [2, 28]
Generated Node #3: [2, 28] from Operation: 56-28=28
Current State: 14:[2, 28], Operations: ['39-37=2', '56-28=28']
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[37, 39, 56, 28], Operations: []
Exploring Operation: 56-39=17, Resulting Numbers: [37, 28, 17]
Generated Node #0,0: 14:[37, 28, 17] Operation: 56-39=17
Exploring Operation: 56-37=19, Resulting Numbers: [39, 28, 19]
Generated Node #0,1: 14:[39, 28, 19] Operation: 56-37=19
Exploring Operation: 56/28=2, Resulting Numbers: [37, 39, 2]
Generated Node #0,2: 14:[37, 39, 2] Operation: 56/28=2
Moving to Node #0,0
Current State: 14:[37, 28, 17], Operations: ['56-39=17']
Exploring Operation: 28-17=11, Resulting Numbers: [37, 11]
Generated Node #0,0,0: 14:[37, 11] Operation: 28-17=11
Exploring Operation: 37-17=20, Resulting Numbers: [28, 20]
Generated Node #0,0,1: 14:[28, 20] Operation: 37-17=20
Exploring Operation: 37-28=9, Resulting Numbers: [17, 9]
Generated Node #0,0,2: 14:[17, 9] Operation: 37-28=9
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 14:[17, 9], Operations: ['56-39=17', '37-28=9']
Exploring Operation: 17+9=26, Resulting Numbers: [26]
26,14 unequal: No Solution
Exploring Operation: 17*9=153, Resulting Numbers: [153]
153,14 unequal: No Solution
Exploring Operation: 17-9=8, Resulting Numbers: [8]
8,14 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 #0,0,1
Current State: 14:[28, 20], Operations: ['56-39=17', '37-17=20']
Exploring Operation: 28+20=48, Resulting Numbers: [48]
48,14 unequal: No Solution
Exploring Operation: 28*20=560, Resulting Numbers: [560]
560,14 unequal: No Solution
Exploring Operation: 28-20=8, Resulting Numbers: [8]
8,14 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 #0,0,0
Current State: 14:[37, 11], Operations: ['56-39=17', '28-17=11']
Exploring Operation: 37+11=48, Resulting Numbers: [48]
48,14 unequal: No Solution
Exploring Operation: 37-11=26, Resulting Numbers: [26]
26,14 unequal: No Solution
Exploring Operation: 37*11=407, Resulting Numbers: [407]
407,14 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: 14:[39, 28, 19], Operations: ['56-37=19']
Exploring Operation: 28-19=9, Resulting Numbers: [39, 9]
Generated Node #0,1,0: 14:[39, 9] Operation: 28-19=9
Exploring Operation: 39-19=20, Resulting Numbers: [28, 20]
Generated Node #0,1,1: 14:[28, 20] Operation: 39-19=20
Exploring Operation: 39-28=11, Resulting Numbers: [19, 11]
Generated Node #0,1,2: 14:[19, 11] Operation: 39-28=11
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 14:[19, 11], Operations: ['56-37=19', '39-28=11']
Exploring Operation: 19-11=8, Resulting Numbers: [8]
8,14 unequal: No Solution
Exploring Operation: 19+11=30, Resulting Numbers: [30]
30,14 unequal: No Solution
Exploring Operation: 19*11=209, Resulting Numbers: [209]
209,14 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 #0,1,1
Current State: 14:[28, 20], Operations: ['56-37=19', '39-19=20']
Exploring Operation: 28+20=48, Resulting Numbers: [48]
48,14 unequal: No Solution
Exploring Operation: 28-20=8, Resulting Numbers: [8]
8,14 unequal: No Solution
Exploring Operation: 28*20=560, Resulting Numbers: [560]
560,14 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 #0,1,0
Current State: 14:[39, 9], Operations: ['56-37=19', '28-19=9']
Exploring Operation: 39+9=48, Resulting Numbers: [48]
48,14 unequal: No Solution
Exploring Operation: 39-9=30, Resulting Numbers: [30]
30,14 unequal: No Solution
Exploring Operation: 39*9=351, Resulting Numbers: [351]
351,14 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: 14:[37, 39, 2], Operations: ['56/28=2']
Exploring Operation: 39-2=37, Resulting Numbers: [37, 37]
Generated Node #0,2,0: 14:[37, 37] Operation: 39-2=37
Exploring Operation: 39-37=2, Resulting Numbers: [2, 2]
Generated Node #0,2,1: 14:[2, 2] Operation: 39-37=2
Exploring Operation: 37-2=35, Resulting Numbers: [39, 35]
Generated Node #0,2,2: 14:[39, 35] Operation: 37-2=35
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 14:[2, 2], Operations: ['56/28=2', '39-37=2']
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,14 unequal: No Solution
Exploring Operation: 2/2=1, Resulting Numbers: [1]
1,14 unequal: No Solution
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,14 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 #0,2,0
Current State: 14:[37, 37], Operations: ['56/28=2', '39-2=37']
Exploring Operation: 37/37=1, Resulting Numbers: [1]
1,14 unequal: No Solution
Exploring Operation: 37+37=74, Resulting Numbers: [74]
74,14 unequal: No Solution
Exploring Operation: 37-37=0, Resulting Numbers: [0]
0,14 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 #0,2,2
Current State: 14:[39, 35], Operations: ['56/28=2', '37-2=35']
Exploring Operation: 39+35=74, Resulting Numbers: [74]
74,14 unequal: No Solution
Exploring Operation: 39-35=4, Resulting Numbers: [4]
4,14 unequal: No Solution
Exploring Operation: 39*35=1365, Resulting Numbers: [1365]
1365,14 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 |
[
13,
42,
25,
98
] | 94 | [
"42-13=29",
"25+98=123",
"123-29=94"
] | Current State: 94:[13, 42, 25, 98], Operations: []
Exploring Operation: 42-13=29, Resulting Numbers: [25, 98, 29]
Generated Node #2: [25, 98, 29] from Operation: 42-13=29
Current State: 94:[25, 98, 29], Operations: ['42-13=29']
Exploring Operation: 25+98=123, Resulting Numbers: [29, 123]
Generated Node #3: [29, 123] from Operation: 25+98=123
Current State: 94:[29, 123], Operations: ['42-13=29', '25+98=123']
Exploring Operation: 123-29=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[13, 42, 25, 98], Operations: []
Exploring Operation: 42+25=67, Resulting Numbers: [13, 98, 67]
Generated Node #0,0: 94:[13, 98, 67] Operation: 42+25=67
Exploring Operation: 13+25=38, Resulting Numbers: [42, 98, 38]
Generated Node #0,1: 94:[42, 98, 38] Operation: 13+25=38
Exploring Operation: 42-25=17, Resulting Numbers: [13, 98, 17]
Generated Node #0,2: 94:[13, 98, 17] Operation: 42-25=17
Exploring Operation: 13+42=55, Resulting Numbers: [25, 98, 55]
Generated Node #0,3: 94:[25, 98, 55] Operation: 13+42=55
Exploring Operation: 25-13=12, Resulting Numbers: [42, 98, 12]
Generated Node #0,4: 94:[42, 98, 12] Operation: 25-13=12
Moving to Node #0,1
Current State: 94:[42, 98, 38], Operations: ['13+25=38']
Exploring Operation: 42+38=80, Resulting Numbers: [98, 80]
Generated Node #0,1,0: 94:[98, 80] Operation: 42+38=80
Exploring Operation: 42-38=4, Resulting Numbers: [98, 4]
Generated Node #0,1,1: 94:[98, 4] Operation: 42-38=4
Exploring Operation: 98-42=56, Resulting Numbers: [38, 56]
Generated Node #0,1,2: 94:[38, 56] Operation: 98-42=56
Exploring Operation: 98-38=60, Resulting Numbers: [42, 60]
Generated Node #0,1,3: 94:[42, 60] Operation: 98-38=60
Exploring Operation: 98+38=136, Resulting Numbers: [42, 136]
Generated Node #0,1,4: 94:[42, 136] Operation: 98+38=136
Moving to Node #0,4
Current State: 94:[42, 98, 12], Operations: ['25-13=12']
Exploring Operation: 42+12=54, Resulting Numbers: [98, 54]
Generated Node #0,4,0: 94:[98, 54] Operation: 42+12=54
Exploring Operation: 98-42=56, Resulting Numbers: [12, 56]
Generated Node #0,4,1: 94:[12, 56] Operation: 98-42=56
Exploring Operation: 98+12=110, Resulting Numbers: [42, 110]
Generated Node #0,4,2: 94:[42, 110] Operation: 98+12=110
Exploring Operation: 42-12=30, Resulting Numbers: [98, 30]
Generated Node #0,4,3: 94:[98, 30] Operation: 42-12=30
Exploring Operation: 98-12=86, Resulting Numbers: [42, 86]
Generated Node #0,4,4: 94:[42, 86] Operation: 98-12=86
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 94:[98, 54], Operations: ['25-13=12', '42+12=54']
Exploring Operation: 98+54=152, Resulting Numbers: [152]
152,94 unequal: No Solution
Exploring Operation: 98-54=44, Resulting Numbers: [44]
44,94 unequal: No Solution
Exploring Operation: 98*54=5292, Resulting Numbers: [5292]
5292,94 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 #0,4,4
Current State: 94:[42, 86], Operations: ['25-13=12', '98-12=86']
Exploring Operation: 42+86=128, Resulting Numbers: [128]
128,94 unequal: No Solution
Exploring Operation: 42*86=3612, Resulting Numbers: [3612]
3612,94 unequal: No Solution
Exploring Operation: 86-42=44, Resulting Numbers: [44]
44,94 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 #0,4,1
Current State: 94:[12, 56], Operations: ['25-13=12', '98-42=56']
Exploring Operation: 12+56=68, Resulting Numbers: [68]
68,94 unequal: No Solution
Exploring Operation: 12*56=672, Resulting Numbers: [672]
672,94 unequal: No Solution
Exploring Operation: 56-12=44, Resulting Numbers: [44]
44,94 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 #0,4,2
Current State: 94:[42, 110], Operations: ['25-13=12', '98+12=110']
Exploring Operation: 110-42=68, Resulting Numbers: [68]
68,94 unequal: No Solution
Exploring Operation: 42*110=4620, Resulting Numbers: [4620]
4620,94 unequal: No Solution
Exploring Operation: 42+110=152, Resulting Numbers: [152]
152,94 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 #0,4,3
Current State: 94:[98, 30], Operations: ['25-13=12', '42-12=30']
Exploring Operation: 98-30=68, Resulting Numbers: [68]
68,94 unequal: No Solution
Exploring Operation: 98*30=2940, Resulting Numbers: [2940]
2940,94 unequal: No Solution
Exploring Operation: 98+30=128, Resulting Numbers: [128]
128,94 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: 94:[13, 98, 17], Operations: ['42-25=17']
Exploring Operation: 13+17=30, Resulting Numbers: [98, 30]
Generated Node #0,2,0: 94:[98, 30] Operation: 13+17=30
Exploring Operation: 98-13=85, Resulting Numbers: [17, 85]
Generated Node #0,2,1: 94:[17, 85] Operation: 98-13=85
Exploring Operation: 98-17=81, Resulting Numbers: [13, 81]
Generated Node #0,2,2: 94:[13, 81] Operation: 98-17=81
Exploring Operation: 17-13=4, Resulting Numbers: [98, 4]
Generated Node #0,2,3: 94:[98, 4] Operation: 17-13=4
Exploring Operation: 13+98=111, Resulting Numbers: [17, 111]
Generated Node #0,2,4: 94:[17, 111] Operation: 13+98=111
Moving to Node #0,3
Current State: 94:[25, 98, 55], Operations: ['13+42=55']
Exploring Operation: 25+98=123, Resulting Numbers: [55, 123]
Generated Node #0,3,0: 94:[55, 123] Operation: 25+98=123
Exploring Operation: 98-25=73, Resulting Numbers: [55, 73]
Generated Node #0,3,1: 94:[55, 73] Operation: 98-25=73
Exploring Operation: 98-55=43, Resulting Numbers: [25, 43]
Generated Node #0,3,2: 94:[25, 43] Operation: 98-55=43
Exploring Operation: 25+55=80, Resulting Numbers: [98, 80]
Generated Node #0,3,3: 94:[98, 80] Operation: 25+55=80
Exploring Operation: 55-25=30, Resulting Numbers: [98, 30]
Generated Node #0,3,4: 94:[98, 30] Operation: 55-25=30
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 94:[98, 80], Operations: ['13+42=55', '25+55=80']
Exploring Operation: 98-80=18, Resulting Numbers: [18]
18,94 unequal: No Solution
Exploring Operation: 98+80=178, Resulting Numbers: [178]
178,94 unequal: No Solution
Exploring Operation: 98*80=7840, Resulting Numbers: [7840]
7840,94 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 #0,3,4
Current State: 94:[98, 30], Operations: ['13+42=55', '55-25=30']
Exploring Operation: 98-30=68, Resulting Numbers: [68]
68,94 unequal: No Solution
Exploring Operation: 98*30=2940, Resulting Numbers: [2940]
2940,94 unequal: No Solution
Exploring Operation: 98+30=128, Resulting Numbers: [128]
128,94 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 #0,3,2
Current State: 94:[25, 43], Operations: ['13+42=55', '98-55=43']
Exploring Operation: 25+43=68, Resulting Numbers: [68]
68,94 unequal: No Solution
Exploring Operation: 25*43=1075, Resulting Numbers: [1075]
1075,94 unequal: No Solution
Exploring Operation: 43-25=18, Resulting Numbers: [18]
18,94 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 #0,3,1
Current State: 94:[55, 73], Operations: ['13+42=55', '98-25=73']
Exploring Operation: 55+73=128, Resulting Numbers: [128]
128,94 unequal: No Solution
Exploring Operation: 73-55=18, Resulting Numbers: [18]
18,94 unequal: No Solution
Exploring Operation: 55*73=4015, Resulting Numbers: [4015]
4015,94 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 #0,3,0
Current State: 94:[55, 123], Operations: ['13+42=55', '25+98=123']
Exploring Operation: 55*123=6765, Resulting Numbers: [6765]
6765,94 unequal: No Solution
Exploring Operation: 123-55=68, Resulting Numbers: [68]
68,94 unequal: No Solution
Exploring Operation: 55+123=178, Resulting Numbers: [178]
178,94 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: 94:[13, 98, 67], Operations: ['42+25=67']
Exploring Operation: 67-13=54, Resulting Numbers: [98, 54]
Generated Node #0,0,0: 94:[98, 54] Operation: 67-13=54
Exploring Operation: 13+98=111, Resulting Numbers: [67, 111]
Generated Node #0,0,1: 94:[67, 111] Operation: 13+98=111
Exploring Operation: 98-13=85, Resulting Numbers: [67, 85]
Generated Node #0,0,2: 94:[67, 85] Operation: 98-13=85
Exploring Operation: 98-67=31, Resulting Numbers: [13, 31]
Generated Node #0,0,3: 94:[13, 31] Operation: 98-67=31
Exploring Operation: 13+67=80, Resulting Numbers: [98, 80]
Generated Node #0,0,4: 94:[98, 80] Operation: 13+67=80
Moving to Node #0,1,1
Current State: 94:[98, 4], Operations: ['13+25=38', '42-38=4']
Exploring Operation: 98*4=392, Resulting Numbers: [392]
392,94 unequal: No Solution
Exploring Operation: 98+4=102, Resulting Numbers: [102]
102,94 unequal: No Solution
Exploring Operation: 98-4=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Moving to Node #0
Current State: 94:[13, 42, 25, 98], Operations: []
Exploring Operation: 13+25=38, Resulting Numbers: [42, 98, 38]
Generated Node #0,1: 94:[42, 98, 38] Operation: 13+25=38
Moving to Node #0,1
Current State: 94:[42, 98, 38], Operations: ['13+25=38']
Exploring Operation: 42-38=4, Resulting Numbers: [98, 4]
Generated Node #0,1,1: 94:[98, 4] Operation: 42-38=4
Moving to Node #0,1,1
Current State: 94:[98, 4], Operations: ['13+25=38', '42-38=4']
Exploring Operation: 98-4=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 0.94184 | hs_5 | sum_heuristic |
[
25,
33,
96,
14
] | 16 | [
"33-25=8",
"14*8=112",
"112-96=16"
] | Current State: 16:[25, 33, 96, 14], Operations: []
Exploring Operation: 33-25=8, Resulting Numbers: [96, 14, 8]
Generated Node #2: [96, 14, 8] from Operation: 33-25=8
Current State: 16:[96, 14, 8], Operations: ['33-25=8']
Exploring Operation: 14*8=112, Resulting Numbers: [96, 112]
Generated Node #3: [96, 112] from Operation: 14*8=112
Current State: 16:[96, 112], Operations: ['33-25=8', '14*8=112']
Exploring Operation: 112-96=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[25, 33, 96, 14], Operations: []
Exploring Operation: 96-33=63, Resulting Numbers: [25, 14, 63]
Generated Node #0,0: 16:[25, 14, 63] Operation: 96-33=63
Start Sub Search at level 1: Moving to Node #0,0
Current State: 16:[25, 14, 63], Operations: ['96-33=63']
Exploring Operation: 63-25=38, Resulting Numbers: [14, 38]
Generated Node #0,0,0: 16:[14, 38] Operation: 63-25=38
Moving to Node #0,0,0
Current State: 16:[14, 38], Operations: ['96-33=63', '63-25=38']
Exploring Operation: 38-14=24, Resulting Numbers: [24]
24,16 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 |
[
66,
73,
2,
5
] | 24 | [
"73-66=7",
"5+7=12",
"2*12=24"
] | Current State: 24:[66, 73, 2, 5], Operations: []
Exploring Operation: 73-66=7, Resulting Numbers: [2, 5, 7]
Generated Node #2: [2, 5, 7] from Operation: 73-66=7
Current State: 24:[2, 5, 7], Operations: ['73-66=7']
Exploring Operation: 5+7=12, Resulting Numbers: [2, 12]
Generated Node #3: [2, 12] from Operation: 5+7=12
Current State: 24:[2, 12], Operations: ['73-66=7', '5+7=12']
Exploring Operation: 2*12=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[66, 73, 2, 5], Operations: []
Exploring Operation: 73-66=7, Resulting Numbers: [2, 5, 7]
Generated Node #0,0: 24:[2, 5, 7] Operation: 73-66=7
Moving to Node #0,0
Current State: 24:[2, 5, 7], Operations: ['73-66=7']
Exploring Operation: 5+7=12, Resulting Numbers: [2, 12]
Generated Node #0,0,0: 24:[2, 12] Operation: 5+7=12
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 24:[2, 12], Operations: ['73-66=7', '5+7=12']
Exploring Operation: 2*12=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Moving to Node #0
Current State: 24:[66, 73, 2, 5], Operations: []
Exploring Operation: 73-66=7, Resulting Numbers: [2, 5, 7]
Generated Node #0,0: 24:[2, 5, 7] Operation: 73-66=7
Moving to Node #0,0
Current State: 24:[2, 5, 7], Operations: ['73-66=7']
Exploring Operation: 5+7=12, Resulting Numbers: [2, 12]
Generated Node #0,0,0: 24:[2, 12] Operation: 5+7=12
Moving to Node #0,0,0
Current State: 24:[2, 12], Operations: ['73-66=7', '5+7=12']
Exploring Operation: 2*12=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
38,
9,
23,
16
] | 54 | [
"38+9=47",
"23-16=7",
"47+7=54"
] | Current State: 54:[38, 9, 23, 16], Operations: []
Exploring Operation: 38+9=47, Resulting Numbers: [23, 16, 47]
Generated Node #2: [23, 16, 47] from Operation: 38+9=47
Current State: 54:[23, 16, 47], Operations: ['38+9=47']
Exploring Operation: 23-16=7, Resulting Numbers: [47, 7]
Generated Node #3: [47, 7] from Operation: 23-16=7
Current State: 54:[47, 7], Operations: ['38+9=47', '23-16=7']
Exploring Operation: 47+7=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[38, 9, 23, 16], Operations: []
Exploring Operation: 38-23=15, Resulting Numbers: [9, 16, 15]
Generated Node #0,0: 54:[9, 16, 15] Operation: 38-23=15
Exploring Operation: 38+16=54, Resulting Numbers: [9, 23, 54]
Generated Node #0,1: 54:[9, 23, 54] Operation: 38+16=54
Moving to Node #0,1
Current State: 54:[9, 23, 54], Operations: ['38+16=54']
Exploring Operation: 23-9=14, Resulting Numbers: [54, 14]
Generated Node #0,1,0: 54:[54, 14] Operation: 23-9=14
Exploring Operation: 54/9=6, Resulting Numbers: [23, 6]
Generated Node #0,1,1: 54:[23, 6] Operation: 54/9=6
Moving to Node #0,0
Current State: 54:[9, 16, 15], Operations: ['38-23=15']
Exploring Operation: 15-9=6, Resulting Numbers: [16, 6]
Generated Node #0,0,0: 54:[16, 6] Operation: 15-9=6
Exploring Operation: 16-15=1, Resulting Numbers: [9, 1]
Generated Node #0,0,1: 54:[9, 1] Operation: 16-15=1
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 54:[9, 1], Operations: ['38-23=15', '16-15=1']
Exploring Operation: 9/1=9, Resulting Numbers: [9]
9,54 unequal: No Solution
Exploring Operation: 9*1=9, Resulting Numbers: [9]
9,54 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: 54:[16, 6], Operations: ['38-23=15', '15-9=6']
Exploring Operation: 16+6=22, Resulting Numbers: [22]
22,54 unequal: No Solution
Exploring Operation: 16-6=10, Resulting Numbers: [10]
10,54 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: 54:[54, 14], Operations: ['38+16=54', '23-9=14']
Exploring Operation: 54-14=40, Resulting Numbers: [40]
40,54 unequal: No Solution
Exploring Operation: 54+14=68, Resulting Numbers: [68]
68,54 unequal: No Solution
Moving to Node #0,1,1
Current State: 54:[23, 6], Operations: ['38+16=54', '54/9=6']
Exploring Operation: 23-6=17, Resulting Numbers: [17]
17,54 unequal: No Solution
Exploring Operation: 23+6=29, Resulting Numbers: [29]
29,54 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
64,
56,
90,
30
] | 16 | [
"90-56=34",
"34-30=4",
"64/4=16"
] | Current State: 16:[64, 56, 90, 30], Operations: []
Exploring Operation: 90-56=34, Resulting Numbers: [64, 30, 34]
Generated Node #2: [64, 30, 34] from Operation: 90-56=34
Current State: 16:[64, 30, 34], Operations: ['90-56=34']
Exploring Operation: 34-30=4, Resulting Numbers: [64, 4]
Generated Node #3: [64, 4] from Operation: 34-30=4
Current State: 16:[64, 4], Operations: ['90-56=34', '34-30=4']
Exploring Operation: 64/4=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[64, 56, 90, 30], Operations: []
Exploring Operation: 90/30=3, Resulting Numbers: [64, 56, 3]
Generated Node #0,0: 16:[64, 56, 3] Operation: 90/30=3
Exploring Operation: 90-64=26, Resulting Numbers: [56, 30, 26]
Generated Node #0,1: 16:[56, 30, 26] Operation: 90-64=26
Exploring Operation: 90-56=34, Resulting Numbers: [64, 30, 34]
Generated Node #0,2: 16:[64, 30, 34] Operation: 90-56=34
Exploring Operation: 64-56=8, Resulting Numbers: [90, 30, 8]
Generated Node #0,3: 16:[90, 30, 8] Operation: 64-56=8
Exploring Operation: 64-30=34, Resulting Numbers: [56, 90, 34]
Generated Node #0,4: 16:[56, 90, 34] Operation: 64-30=34
Moving to Node #0,1
Current State: 16:[56, 30, 26], Operations: ['90-64=26']
Exploring Operation: 56+30=86, Resulting Numbers: [26, 86]
Generated Node #0,1,0: 16:[26, 86] Operation: 56+30=86
Exploring Operation: 56-26=30, Resulting Numbers: [30, 30]
Generated Node #0,1,1: 16:[30, 30] Operation: 56-26=30
Exploring Operation: 30-26=4, Resulting Numbers: [56, 4]
Generated Node #0,1,2: 16:[56, 4] Operation: 30-26=4
Exploring Operation: 56-30=26, Resulting Numbers: [26, 26]
Generated Node #0,1,3: 16:[26, 26] Operation: 56-30=26
Exploring Operation: 56+26=82, Resulting Numbers: [30, 82]
Generated Node #0,1,4: 16:[30, 82] Operation: 56+26=82
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 16:[26, 26], Operations: ['90-64=26', '56-30=26']
Exploring Operation: 26*26=676, Resulting Numbers: [676]
676,16 unequal: No Solution
Exploring Operation: 26/26=1, Resulting Numbers: [1]
1,16 unequal: No Solution
Exploring Operation: 26-26=0, Resulting Numbers: [0]
0,16 unequal: No Solution
Exploring Operation: 26+26=52, Resulting Numbers: [52]
52,16 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: 16:[30, 30], Operations: ['90-64=26', '56-26=30']
Exploring Operation: 30+30=60, Resulting Numbers: [60]
60,16 unequal: No Solution
Exploring Operation: 30*30=900, Resulting Numbers: [900]
900,16 unequal: No Solution
Exploring Operation: 30-30=0, Resulting Numbers: [0]
0,16 unequal: No Solution
Exploring Operation: 30/30=1, Resulting Numbers: [1]
1,16 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: 16:[56, 4], Operations: ['90-64=26', '30-26=4']
Exploring Operation: 56+4=60, Resulting Numbers: [60]
60,16 unequal: No Solution
Exploring Operation: 56*4=224, Resulting Numbers: [224]
224,16 unequal: No Solution
Exploring Operation: 56/4=14, Resulting Numbers: [14]
14,16 unequal: No Solution
Exploring Operation: 56-4=52, Resulting Numbers: [52]
52,16 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: 16:[26, 86], Operations: ['90-64=26', '56+30=86']
Exploring Operation: 26+86=112, Resulting Numbers: [112]
112,16 unequal: No Solution
Exploring Operation: 26*86=2236, Resulting Numbers: [2236]
2236,16 unequal: No Solution
Exploring Operation: 86-26=60, Resulting Numbers: [60]
60,16 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: 16:[30, 82], Operations: ['90-64=26', '56+26=82']
Exploring Operation: 82-30=52, Resulting Numbers: [52]
52,16 unequal: No Solution
Exploring Operation: 30*82=2460, Resulting Numbers: [2460]
2460,16 unequal: No Solution
Exploring Operation: 30+82=112, Resulting Numbers: [112]
112,16 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: 16:[64, 30, 34], Operations: ['90-56=34']
Exploring Operation: 64+30=94, Resulting Numbers: [34, 94]
Generated Node #0,2,0: 16:[34, 94] Operation: 64+30=94
Exploring Operation: 64-30=34, Resulting Numbers: [34, 34]
Generated Node #0,2,1: 16:[34, 34] Operation: 64-30=34
Exploring Operation: 64+34=98, Resulting Numbers: [30, 98]
Generated Node #0,2,2: 16:[30, 98] Operation: 64+34=98
Exploring Operation: 34-30=4, Resulting Numbers: [64, 4]
Generated Node #0,2,3: 16:[64, 4] Operation: 34-30=4
Exploring Operation: 64-34=30, Resulting Numbers: [30, 30]
Generated Node #0,2,4: 16:[30, 30] Operation: 64-34=30
Moving to Node #0,3
Current State: 16:[90, 30, 8], Operations: ['64-56=8']
Exploring Operation: 90-30=60, Resulting Numbers: [8, 60]
Generated Node #0,3,0: 16:[8, 60] Operation: 90-30=60
Exploring Operation: 30-8=22, Resulting Numbers: [90, 22]
Generated Node #0,3,1: 16:[90, 22] Operation: 30-8=22
Exploring Operation: 90-8=82, Resulting Numbers: [30, 82]
Generated Node #0,3,2: 16:[30, 82] Operation: 90-8=82
Exploring Operation: 90+8=98, Resulting Numbers: [30, 98]
Generated Node #0,3,3: 16:[30, 98] Operation: 90+8=98
Exploring Operation: 90/30=3, Resulting Numbers: [8, 3]
Generated Node #0,3,4: 16:[8, 3] Operation: 90/30=3
Moving to Node #0,0
Current State: 16:[64, 56, 3], Operations: ['90/30=3']
Exploring Operation: 64+3=67, Resulting Numbers: [56, 67]
Generated Node #0,0,0: 16:[56, 67] Operation: 64+3=67
Exploring Operation: 64-3=61, Resulting Numbers: [56, 61]
Generated Node #0,0,1: 16:[56, 61] Operation: 64-3=61
Exploring Operation: 56+3=59, Resulting Numbers: [64, 59]
Generated Node #0,0,2: 16:[64, 59] Operation: 56+3=59
Exploring Operation: 56-3=53, Resulting Numbers: [64, 53]
Generated Node #0,0,3: 16:[64, 53] Operation: 56-3=53
Exploring Operation: 64-56=8, Resulting Numbers: [3, 8]
Generated Node #0,0,4: 16:[3, 8] Operation: 64-56=8
Moving to Node #0,4
Current State: 16:[56, 90, 34], Operations: ['64-30=34']
Exploring Operation: 56+90=146, Resulting Numbers: [34, 146]
Generated Node #0,4,0: 16:[34, 146] Operation: 56+90=146
Exploring Operation: 90-56=34, Resulting Numbers: [34, 34]
Generated Node #0,4,1: 16:[34, 34] Operation: 90-56=34
Exploring Operation: 90-34=56, Resulting Numbers: [56, 56]
Generated Node #0,4,2: 16:[56, 56] Operation: 90-34=56
Exploring Operation: 56+34=90, Resulting Numbers: [90, 90]
Generated Node #0,4,3: 16:[90, 90] Operation: 56+34=90
Exploring Operation: 56-34=22, Resulting Numbers: [90, 22]
Generated Node #0,4,4: 16:[90, 22] Operation: 56-34=22
Moving to Node #0,3,4
Current State: 16:[8, 3], Operations: ['64-56=8', '90/30=3']
Exploring Operation: 8+3=11, Resulting Numbers: [11]
11,16 unequal: No Solution
Exploring Operation: 8-3=5, Resulting Numbers: [5]
5,16 unequal: No Solution
Exploring Operation: 8*3=24, Resulting Numbers: [24]
24,16 unequal: No Solution
Moving to Node #0,0,4
Current State: 16:[3, 8], Operations: ['90/30=3', '64-56=8']
Exploring Operation: 3*8=24, Resulting Numbers: [24]
24,16 unequal: No Solution
Exploring Operation: 8-3=5, Resulting Numbers: [5]
5,16 unequal: No Solution
Exploring Operation: 3+8=11, Resulting Numbers: [11]
11,16 unequal: No Solution
Moving to Node #0,2,4
Current State: 16:[30, 30], Operations: ['90-56=34', '64-34=30']
Exploring Operation: 30-30=0, Resulting Numbers: [0]
0,16 unequal: No Solution
Exploring Operation: 30*30=900, Resulting Numbers: [900]
900,16 unequal: No Solution
Exploring Operation: 30+30=60, Resulting Numbers: [60]
60,16 unequal: No Solution
Exploring Operation: 30/30=1, Resulting Numbers: [1]
1,16 unequal: No Solution
Moving to Node #0,2,1
Current State: 16:[34, 34], Operations: ['90-56=34', '64-30=34']
Exploring Operation: 34-34=0, Resulting Numbers: [0]
0,16 unequal: No Solution
Exploring Operation: 34*34=1156, Resulting Numbers: [1156]
1156,16 unequal: No Solution
Exploring Operation: 34+34=68, Resulting Numbers: [68]
68,16 unequal: No Solution
Exploring Operation: 34/34=1, Resulting Numbers: [1]
1,16 unequal: No Solution
Moving to Node #0,4,1
Current State: 16:[34, 34], Operations: ['64-30=34', '90-56=34']
Exploring Operation: 34-34=0, Resulting Numbers: [0]
0,16 unequal: No Solution
Exploring Operation: 34/34=1, Resulting Numbers: [1]
1,16 unequal: No Solution
Exploring Operation: 34*34=1156, Resulting Numbers: [1156]
1156,16 unequal: No Solution
Exploring Operation: 34+34=68, Resulting Numbers: [68]
68,16 unequal: No Solution
Moving to Node #0,3,0
Current State: 16:[8, 60], Operations: ['64-56=8', '90-30=60']
Exploring Operation: 8*60=480, Resulting Numbers: [480]
480,16 unequal: No Solution
Exploring Operation: 60-8=52, Resulting Numbers: [52]
52,16 unequal: No Solution
Exploring Operation: 8+60=68, Resulting Numbers: [68]
68,16 unequal: No Solution
Moving to Node #0,2,3
Current State: 16:[64, 4], Operations: ['90-56=34', '34-30=4']
Exploring Operation: 64*4=256, Resulting Numbers: [256]
256,16 unequal: No Solution
Exploring Operation: 64+4=68, Resulting Numbers: [68]
68,16 unequal: No Solution
Exploring Operation: 64-4=60, Resulting Numbers: [60]
60,16 unequal: No Solution
Exploring Operation: 64/4=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[64, 56, 90, 30], Operations: []
Exploring Operation: 90-56=34, Resulting Numbers: [64, 30, 34]
Generated Node #0,2: 16:[64, 30, 34] Operation: 90-56=34
Moving to Node #0,2
Current State: 16:[64, 30, 34], Operations: ['90-56=34']
Exploring Operation: 34-30=4, Resulting Numbers: [64, 4]
Generated Node #0,2,3: 16:[64, 4] Operation: 34-30=4
Moving to Node #0,2,3
Current State: 16:[64, 4], Operations: ['90-56=34', '34-30=4']
Exploring Operation: 64/4=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 0.93316 | hs_5 | sum_heuristic |
[
73,
17,
98,
25
] | 16 | [
"98-73=25",
"25/25=1",
"17-1=16"
] | Current State: 16:[73, 17, 98, 25], Operations: []
Exploring Operation: 98-73=25, Resulting Numbers: [17, 25, 25]
Generated Node #2: [17, 25, 25] from Operation: 98-73=25
Current State: 16:[17, 25, 25], Operations: ['98-73=25']
Exploring Operation: 25/25=1, Resulting Numbers: [17, 1]
Generated Node #3: [17, 1] from Operation: 25/25=1
Current State: 16:[17, 1], Operations: ['98-73=25', '25/25=1']
Exploring Operation: 17-1=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[73, 17, 98, 25], Operations: []
Exploring Operation: 98-17=81, Resulting Numbers: [73, 25, 81]
Generated Node #0,0: 16:[73, 25, 81] Operation: 98-17=81
Exploring Operation: 73-17=56, Resulting Numbers: [98, 25, 56]
Generated Node #0,1: 16:[98, 25, 56] Operation: 73-17=56
Exploring Operation: 98-73=25, Resulting Numbers: [17, 25, 25]
Generated Node #0,2: 16:[17, 25, 25] Operation: 98-73=25
Exploring Operation: 73-25=48, Resulting Numbers: [17, 98, 48]
Generated Node #0,3: 16:[17, 98, 48] Operation: 73-25=48
Exploring Operation: 98-25=73, Resulting Numbers: [73, 17, 73]
Generated Node #0,4: 16:[73, 17, 73] Operation: 98-25=73
Moving to Node #0,2
Current State: 16:[17, 25, 25], Operations: ['98-73=25']
Exploring Operation: 25-17=8, Resulting Numbers: [25, 8]
Generated Node #0,2,0: 16:[25, 8] Operation: 25-17=8
Exploring Operation: 25-25=0, Resulting Numbers: [17, 0]
Generated Node #0,2,1: 16:[17, 0] Operation: 25-25=0
Exploring Operation: 25/25=1, Resulting Numbers: [17, 1]
Generated Node #0,2,2: 16:[17, 1] Operation: 25/25=1
Exploring Operation: 17+25=42, Resulting Numbers: [25, 42]
Generated Node #0,2,3: 16:[25, 42] Operation: 17+25=42
Exploring Operation: 25-17=8, Resulting Numbers: [25, 8]
Generated Node #0,2,4: 16:[25, 8] Operation: 25-17=8
Moving to Node #0,4
Current State: 16:[73, 17, 73], Operations: ['98-25=73']
Exploring Operation: 73-73=0, Resulting Numbers: [17, 0]
Generated Node #0,4,0: 16:[17, 0] Operation: 73-73=0
Exploring Operation: 73/73=1, Resulting Numbers: [17, 1]
Generated Node #0,4,1: 16:[17, 1] Operation: 73/73=1
Exploring Operation: 73+17=90, Resulting Numbers: [73, 90]
Generated Node #0,4,2: 16:[73, 90] Operation: 73+17=90
Exploring Operation: 73-17=56, Resulting Numbers: [73, 56]
Generated Node #0,4,3: 16:[73, 56] Operation: 73-17=56
Exploring Operation: 73-17=56, Resulting Numbers: [73, 56]
Generated Node #0,4,4: 16:[73, 56] Operation: 73-17=56
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 16:[17, 1], Operations: ['98-25=73', '73/73=1']
Exploring Operation: 17+1=18, Resulting Numbers: [18]
18,16 unequal: No Solution
Exploring Operation: 17/1=17, Resulting Numbers: [17]
17,16 unequal: No Solution
Exploring Operation: 17*1=17, Resulting Numbers: [17]
17,16 unequal: No Solution
Exploring Operation: 17-1=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[73, 17, 98, 25], Operations: []
Exploring Operation: 98-25=73, Resulting Numbers: [73, 17, 73]
Generated Node #0,4: 16:[73, 17, 73] Operation: 98-25=73
Moving to Node #0,4
Current State: 16:[73, 17, 73], Operations: ['98-25=73']
Exploring Operation: 73/73=1, Resulting Numbers: [17, 1]
Generated Node #0,4,1: 16:[17, 1] Operation: 73/73=1
Moving to Node #0,4,1
Current State: 16:[17, 1], Operations: ['98-25=73', '73/73=1']
Exploring Operation: 17-1=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Exit Sub Search at level 1
| 0.980035 | hs_5 | mult_heuristic |
[
7,
68,
52,
64
] | 87 | [
"7+68=75",
"64-52=12",
"75+12=87"
] | Current State: 87:[7, 68, 52, 64], Operations: []
Exploring Operation: 7+68=75, Resulting Numbers: [52, 64, 75]
Generated Node #2: [52, 64, 75] from Operation: 7+68=75
Current State: 87:[52, 64, 75], Operations: ['7+68=75']
Exploring Operation: 64-52=12, Resulting Numbers: [75, 12]
Generated Node #3: [75, 12] from Operation: 64-52=12
Current State: 87:[75, 12], Operations: ['7+68=75', '64-52=12']
Exploring Operation: 75+12=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[7, 68, 52, 64], Operations: []
Exploring Operation: 68-64=4, Resulting Numbers: [7, 52, 4]
Generated Node #0,0: 87:[7, 52, 4] Operation: 68-64=4
Exploring Operation: 64-52=12, Resulting Numbers: [7, 68, 12]
Generated Node #0,1: 87:[7, 68, 12] Operation: 64-52=12
Start Sub Search at level 1: Moving to Node #0,0
Current State: 87:[7, 52, 4], Operations: ['68-64=4']
Exploring Operation: 52/4=13, Resulting Numbers: [7, 13]
Generated Node #0,0,0: 87:[7, 13] Operation: 52/4=13
Exploring Operation: 52-7=45, Resulting Numbers: [4, 45]
Generated Node #0,0,1: 87:[4, 45] Operation: 52-7=45
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 87:[7, 13], Operations: ['68-64=4', '52/4=13']
Exploring Operation: 7*13=91, Resulting Numbers: [91]
91,87 unequal: No Solution
Exploring Operation: 13-7=6, Resulting Numbers: [6]
6,87 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: 87:[4, 45], Operations: ['68-64=4', '52-7=45']
Exploring Operation: 45-4=41, Resulting Numbers: [41]
41,87 unequal: No Solution
Exploring Operation: 4+45=49, Resulting Numbers: [49]
49,87 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: 87:[7, 68, 12], Operations: ['64-52=12']
Exploring Operation: 7+68=75, Resulting Numbers: [12, 75]
Generated Node #0,1,0: 87:[12, 75] Operation: 7+68=75
Exploring Operation: 68+12=80, Resulting Numbers: [7, 80]
Generated Node #0,1,1: 87:[7, 80] Operation: 68+12=80
Moving to Node #0,1,1
Current State: 87:[7, 80], Operations: ['64-52=12', '68+12=80']
Exploring Operation: 7+80=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Moving to Node #0
Current State: 87:[7, 68, 52, 64], Operations: []
Exploring Operation: 64-52=12, Resulting Numbers: [7, 68, 12]
Generated Node #0,1: 87:[7, 68, 12] Operation: 64-52=12
Moving to Node #0,1
Current State: 87:[7, 68, 12], Operations: ['64-52=12']
Exploring Operation: 68+12=80, Resulting Numbers: [7, 80]
Generated Node #0,1,1: 87:[7, 80] Operation: 68+12=80
Moving to Node #0,1,1
Current State: 87:[7, 80], Operations: ['64-52=12', '68+12=80']
Exploring Operation: 7+80=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_2 | mult_heuristic |
[
40,
80,
23,
40
] | 12 | [
"40*23=920",
"40+920=960",
"960/80=12"
] | Current State: 12:[40, 80, 23, 40], Operations: []
Exploring Operation: 40*23=920, Resulting Numbers: [80, 920]
Generated Node #2: [80, 920] from Operation: 40*23=920
Current State: 12:[80, 920], Operations: ['40*23=920']
Exploring Operation: 40+920=960, Resulting Numbers: [80, 960]
Generated Node #3: [80, 960] from Operation: 40+920=960
Current State: 12:[80, 960], Operations: ['40*23=920', '40+920=960']
Exploring Operation: 960/80=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[40, 80, 23, 40], Operations: []
Exploring Operation: 80-40=40, Resulting Numbers: [23, 40, 40]
Generated Node #0,0: 12:[23, 40, 40] Operation: 80-40=40
Exploring Operation: 80/40=2, Resulting Numbers: [40, 23, 2]
Generated Node #0,1: 12:[40, 23, 2] Operation: 80/40=2
Exploring Operation: 80/40=2, Resulting Numbers: [23, 40, 2]
Generated Node #0,2: 12:[23, 40, 2] Operation: 80/40=2
Start Sub Search at level 1: Moving to Node #0,1
Current State: 12:[40, 23, 2], Operations: ['80/40=2']
Exploring Operation: 40-23=17, Resulting Numbers: [2, 17]
Generated Node #0,1,0: 12:[2, 17] Operation: 40-23=17
Exploring Operation: 40-2=38, Resulting Numbers: [23, 38]
Generated Node #0,1,1: 12:[23, 38] Operation: 40-2=38
Exploring Operation: 40/2=20, Resulting Numbers: [23, 20]
Generated Node #0,1,2: 12:[23, 20] Operation: 40/2=20
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 12:[2, 17], Operations: ['80/40=2', '40-23=17']
Exploring Operation: 2*17=34, Resulting Numbers: [34]
34,12 unequal: No Solution
Exploring Operation: 2+17=19, Resulting Numbers: [19]
19,12 unequal: No Solution
Exploring Operation: 17-2=15, Resulting Numbers: [15]
15,12 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: 12:[23, 20], Operations: ['80/40=2', '40/2=20']
Exploring Operation: 23-20=3, Resulting Numbers: [3]
3,12 unequal: No Solution
Exploring Operation: 23+20=43, Resulting Numbers: [43]
43,12 unequal: No Solution
Exploring Operation: 23*20=460, Resulting Numbers: [460]
460,12 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: 12:[23, 38], Operations: ['80/40=2', '40-2=38']
Exploring Operation: 23*38=874, Resulting Numbers: [874]
874,12 unequal: No Solution
Exploring Operation: 38-23=15, Resulting Numbers: [15]
15,12 unequal: No Solution
Exploring Operation: 23+38=61, Resulting Numbers: [61]
61,12 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: 12:[23, 40, 2], Operations: ['80/40=2']
Exploring Operation: 40-23=17, Resulting Numbers: [2, 17]
Generated Node #0,2,0: 12:[2, 17] Operation: 40-23=17
Exploring Operation: 23-2=21, Resulting Numbers: [40, 21]
Generated Node #0,2,1: 12:[40, 21] Operation: 23-2=21
Exploring Operation: 40/2=20, Resulting Numbers: [23, 20]
Generated Node #0,2,2: 12:[23, 20] Operation: 40/2=20
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 12:[2, 17], Operations: ['80/40=2', '40-23=17']
Exploring Operation: 17-2=15, Resulting Numbers: [15]
15,12 unequal: No Solution
Exploring Operation: 2*17=34, Resulting Numbers: [34]
34,12 unequal: No Solution
Exploring Operation: 2+17=19, Resulting Numbers: [19]
19,12 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: 12:[23, 20], Operations: ['80/40=2', '40/2=20']
Exploring Operation: 23+20=43, Resulting Numbers: [43]
43,12 unequal: No Solution
Exploring Operation: 23*20=460, Resulting Numbers: [460]
460,12 unequal: No Solution
Exploring Operation: 23-20=3, Resulting Numbers: [3]
3,12 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: 12:[40, 21], Operations: ['80/40=2', '23-2=21']
Exploring Operation: 40*21=840, Resulting Numbers: [840]
840,12 unequal: No Solution
Exploring Operation: 40+21=61, Resulting Numbers: [61]
61,12 unequal: No Solution
Exploring Operation: 40-21=19, Resulting Numbers: [19]
19,12 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: 12:[23, 40, 40], Operations: ['80-40=40']
Exploring Operation: 40-40=0, Resulting Numbers: [23, 0]
Generated Node #0,0,0: 12:[23, 0] Operation: 40-40=0
Exploring Operation: 40/40=1, Resulting Numbers: [23, 1]
Generated Node #0,0,1: 12:[23, 1] Operation: 40/40=1
Exploring Operation: 40-23=17, Resulting Numbers: [40, 17]
Generated Node #0,0,2: 12:[40, 17] Operation: 40-23=17
Moving to Node #0,0,1
Current State: 12:[23, 1], Operations: ['80-40=40', '40/40=1']
Exploring Operation: 23*1=23, Resulting Numbers: [23]
23,12 unequal: No Solution
Exploring Operation: 23-1=22, Resulting Numbers: [22]
22,12 unequal: No Solution
Exploring Operation: 23/1=23, Resulting Numbers: [23]
23,12 unequal: No Solution
Moving to Node #0,0,0
Current State: 12:[23, 0], Operations: ['80-40=40', '40-40=0']
Exploring Operation: 23*0=0, Resulting Numbers: [0]
0,12 unequal: No Solution
Exploring Operation: 23+0=23, Resulting Numbers: [23]
23,12 unequal: No Solution
Exploring Operation: 23-0=23, Resulting Numbers: [23]
23,12 unequal: No Solution
Moving to Node #0,0,2
Current State: 12:[40, 17], Operations: ['80-40=40', '40-23=17']
Exploring Operation: 40+17=57, Resulting Numbers: [57]
57,12 unequal: No Solution
Exploring Operation: 40-17=23, Resulting Numbers: [23]
23,12 unequal: No Solution
Exploring Operation: 40*17=680, Resulting Numbers: [680]
680,12 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 |
[
42,
94,
37,
5
] | 35 | [
"42+5=47",
"94/47=2",
"37-2=35"
] | Current State: 35:[42, 94, 37, 5], Operations: []
Exploring Operation: 42+5=47, Resulting Numbers: [94, 37, 47]
Generated Node #2: [94, 37, 47] from Operation: 42+5=47
Current State: 35:[94, 37, 47], Operations: ['42+5=47']
Exploring Operation: 94/47=2, Resulting Numbers: [37, 2]
Generated Node #3: [37, 2] from Operation: 94/47=2
Current State: 35:[37, 2], Operations: ['42+5=47', '94/47=2']
Exploring Operation: 37-2=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[42, 94, 37, 5], Operations: []
Exploring Operation: 42-5=37, Resulting Numbers: [94, 37, 37]
Generated Node #0,0: 35:[94, 37, 37] Operation: 42-5=37
Exploring Operation: 42-37=5, Resulting Numbers: [94, 5, 5]
Generated Node #0,1: 35:[94, 5, 5] Operation: 42-37=5
Exploring Operation: 94-42=52, Resulting Numbers: [37, 5, 52]
Generated Node #0,2: 35:[37, 5, 52] Operation: 94-42=52
Exploring Operation: 94-37=57, Resulting Numbers: [42, 5, 57]
Generated Node #0,3: 35:[42, 5, 57] Operation: 94-37=57
Start Sub Search at level 1: Moving to Node #0,2
Current State: 35:[37, 5, 52], Operations: ['94-42=52']
Exploring Operation: 37+5=42, Resulting Numbers: [52, 42]
Generated Node #0,2,0: 35:[52, 42] Operation: 37+5=42
Exploring Operation: 52-37=15, Resulting Numbers: [5, 15]
Generated Node #0,2,1: 35:[5, 15] Operation: 52-37=15
Exploring Operation: 52-5=47, Resulting Numbers: [37, 47]
Generated Node #0,2,2: 35:[37, 47] Operation: 52-5=47
Exploring Operation: 37-5=32, Resulting Numbers: [52, 32]
Generated Node #0,2,3: 35:[52, 32] Operation: 37-5=32
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 35:[5, 15], Operations: ['94-42=52', '52-37=15']
Exploring Operation: 5*15=75, Resulting Numbers: [75]
75,35 unequal: No Solution
Exploring Operation: 5+15=20, Resulting Numbers: [20]
20,35 unequal: No Solution
Exploring Operation: 15-5=10, Resulting Numbers: [10]
10,35 unequal: No Solution
Exploring Operation: 15/5=3, Resulting Numbers: [3]
3,35 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: 35:[37, 47], Operations: ['94-42=52', '52-5=47']
Exploring Operation: 47-37=10, Resulting Numbers: [10]
10,35 unequal: No Solution
Exploring Operation: 37+47=84, Resulting Numbers: [84]
84,35 unequal: No Solution
Exploring Operation: 37*47=1739, Resulting Numbers: [1739]
1739,35 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: 35:[52, 32], Operations: ['94-42=52', '37-5=32']
Exploring Operation: 52-32=20, Resulting Numbers: [20]
20,35 unequal: No Solution
Exploring Operation: 52*32=1664, Resulting Numbers: [1664]
1664,35 unequal: No Solution
Exploring Operation: 52+32=84, Resulting Numbers: [84]
84,35 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: 35:[52, 42], Operations: ['94-42=52', '37+5=42']
Exploring Operation: 52+42=94, Resulting Numbers: [94]
94,35 unequal: No Solution
Exploring Operation: 52-42=10, Resulting Numbers: [10]
10,35 unequal: No Solution
Exploring Operation: 52*42=2184, Resulting Numbers: [2184]
2184,35 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: 35:[42, 5, 57], Operations: ['94-37=57']
Exploring Operation: 42+5=47, Resulting Numbers: [57, 47]
Generated Node #0,3,0: 35:[57, 47] Operation: 42+5=47
Exploring Operation: 57-5=52, Resulting Numbers: [42, 52]
Generated Node #0,3,1: 35:[42, 52] Operation: 57-5=52
Exploring Operation: 42-5=37, Resulting Numbers: [57, 37]
Generated Node #0,3,2: 35:[57, 37] Operation: 42-5=37
Exploring Operation: 57-42=15, Resulting Numbers: [5, 15]
Generated Node #0,3,3: 35:[5, 15] Operation: 57-42=15
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 35:[5, 15], Operations: ['94-37=57', '57-42=15']
Exploring Operation: 5*15=75, Resulting Numbers: [75]
75,35 unequal: No Solution
Exploring Operation: 5+15=20, Resulting Numbers: [20]
20,35 unequal: No Solution
Exploring Operation: 15-5=10, Resulting Numbers: [10]
10,35 unequal: No Solution
Exploring Operation: 15/5=3, Resulting Numbers: [3]
3,35 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: 35:[42, 52], Operations: ['94-37=57', '57-5=52']
Exploring Operation: 42*52=2184, Resulting Numbers: [2184]
2184,35 unequal: No Solution
Exploring Operation: 52-42=10, Resulting Numbers: [10]
10,35 unequal: No Solution
Exploring Operation: 42+52=94, Resulting Numbers: [94]
94,35 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: 35:[57, 37], Operations: ['94-37=57', '42-5=37']
Exploring Operation: 57*37=2109, Resulting Numbers: [2109]
2109,35 unequal: No Solution
Exploring Operation: 57+37=94, Resulting Numbers: [94]
94,35 unequal: No Solution
Exploring Operation: 57-37=20, Resulting Numbers: [20]
20,35 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: 35:[57, 47], Operations: ['94-37=57', '42+5=47']
Exploring Operation: 57*47=2679, Resulting Numbers: [2679]
2679,35 unequal: No Solution
Exploring Operation: 57-47=10, Resulting Numbers: [10]
10,35 unequal: No Solution
Exploring Operation: 57+47=104, Resulting Numbers: [104]
104,35 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: 35:[94, 5, 5], Operations: ['42-37=5']
Exploring Operation: 5/5=1, Resulting Numbers: [94, 1]
Generated Node #0,1,0: 35:[94, 1] Operation: 5/5=1
Exploring Operation: 94-5=89, Resulting Numbers: [5, 89]
Generated Node #0,1,1: 35:[5, 89] Operation: 94-5=89
Exploring Operation: 94-5=89, Resulting Numbers: [5, 89]
Generated Node #0,1,2: 35:[5, 89] Operation: 94-5=89
Exploring Operation: 5+5=10, Resulting Numbers: [94, 10]
Generated Node #0,1,3: 35:[94, 10] Operation: 5+5=10
Moving to Node #0,1,1
Current State: 35:[5, 89], Operations: ['42-37=5', '94-5=89']
Exploring Operation: 89-5=84, Resulting Numbers: [84]
84,35 unequal: No Solution
Exploring Operation: 5+89=94, Resulting Numbers: [94]
94,35 unequal: No Solution
Exploring Operation: 5*89=445, Resulting Numbers: [445]
445,35 unequal: No Solution
Moving to Node #0,1,2
Current State: 35:[5, 89], Operations: ['42-37=5', '94-5=89']
Exploring Operation: 89-5=84, Resulting Numbers: [84]
84,35 unequal: No Solution
Exploring Operation: 5+89=94, Resulting Numbers: [94]
94,35 unequal: No Solution
Exploring Operation: 5*89=445, Resulting Numbers: [445]
445,35 unequal: No Solution
Moving to Node #0,1,3
Current State: 35:[94, 10], Operations: ['42-37=5', '5+5=10']
Exploring Operation: 94-10=84, Resulting Numbers: [84]
84,35 unequal: No Solution
Exploring Operation: 94*10=940, Resulting Numbers: [940]
940,35 unequal: No Solution
Exploring Operation: 94+10=104, Resulting Numbers: [104]
104,35 unequal: No Solution
Moving to Node #0,1,0
Current State: 35:[94, 1], Operations: ['42-37=5', '5/5=1']
Exploring Operation: 94/1=94, Resulting Numbers: [94]
94,35 unequal: No Solution
Exploring Operation: 94*1=94, Resulting Numbers: [94]
94,35 unequal: No Solution
Exploring Operation: 94+1=95, Resulting Numbers: [95]
95,35 unequal: No Solution
Exploring Operation: 94-1=93, Resulting Numbers: [93]
93,35 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: 35:[94, 37, 37], Operations: ['42-5=37']
Exploring Operation: 94-37=57, Resulting Numbers: [37, 57]
Generated Node #0,0,0: 35:[37, 57] Operation: 94-37=57
Exploring Operation: 37/37=1, Resulting Numbers: [94, 1]
Generated Node #0,0,1: 35:[94, 1] Operation: 37/37=1
Exploring Operation: 94-37=57, Resulting Numbers: [37, 57]
Generated Node #0,0,2: 35:[37, 57] Operation: 94-37=57
Exploring Operation: 37-37=0, Resulting Numbers: [94, 0]
Generated Node #0,0,3: 35:[94, 0] Operation: 37-37=0
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 35:[37, 57], Operations: ['42-5=37', '94-37=57']
Exploring Operation: 57-37=20, Resulting Numbers: [20]
20,35 unequal: No Solution
Exploring Operation: 37*57=2109, Resulting Numbers: [2109]
2109,35 unequal: No Solution
Exploring Operation: 37+57=94, Resulting Numbers: [94]
94,35 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: 35:[37, 57], Operations: ['42-5=37', '94-37=57']
Exploring Operation: 37+57=94, Resulting Numbers: [94]
94,35 unequal: No Solution
Exploring Operation: 37*57=2109, Resulting Numbers: [2109]
2109,35 unequal: No Solution
Exploring Operation: 57-37=20, Resulting Numbers: [20]
20,35 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: 35:[94, 1], Operations: ['42-5=37', '37/37=1']
Exploring Operation: 94/1=94, Resulting Numbers: [94]
94,35 unequal: No Solution
Exploring Operation: 94+1=95, Resulting Numbers: [95]
95,35 unequal: No Solution
Exploring Operation: 94-1=93, Resulting Numbers: [93]
93,35 unequal: No Solution
Exploring Operation: 94*1=94, Resulting Numbers: [94]
94,35 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: 35:[94, 0], Operations: ['42-5=37', '37-37=0']
Exploring Operation: 94*0=0, Resulting Numbers: [0]
0,35 unequal: No Solution
Exploring Operation: 94+0=94, Resulting Numbers: [94]
94,35 unequal: No Solution
Exploring Operation: 94-0=94, Resulting Numbers: [94]
94,35 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 |
[
44,
1,
22,
97
] | 31 | [
"44*1=44",
"97-22=75",
"75-44=31"
] | Current State: 31:[44, 1, 22, 97], Operations: []
Exploring Operation: 44*1=44, Resulting Numbers: [22, 97, 44]
Generated Node #2: [22, 97, 44] from Operation: 44*1=44
Current State: 31:[22, 97, 44], Operations: ['44*1=44']
Exploring Operation: 97-22=75, Resulting Numbers: [44, 75]
Generated Node #3: [44, 75] from Operation: 97-22=75
Current State: 31:[44, 75], Operations: ['44*1=44', '97-22=75']
Exploring Operation: 75-44=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[44, 1, 22, 97], Operations: []
Exploring Operation: 97-1=96, Resulting Numbers: [44, 22, 96]
Generated Node #0,0: 31:[44, 22, 96] Operation: 97-1=96
Exploring Operation: 97-22=75, Resulting Numbers: [44, 1, 75]
Generated Node #0,1: 31:[44, 1, 75] Operation: 97-22=75
Exploring Operation: 1+22=23, Resulting Numbers: [44, 97, 23]
Generated Node #0,2: 31:[44, 97, 23] Operation: 1+22=23
Exploring Operation: 44-1=43, Resulting Numbers: [22, 97, 43]
Generated Node #0,3: 31:[22, 97, 43] Operation: 44-1=43
Exploring Operation: 97-44=53, Resulting Numbers: [1, 22, 53]
Generated Node #0,4: 31:[1, 22, 53] Operation: 97-44=53
Start Sub Search at level 1: Moving to Node #0,4
Current State: 31:[1, 22, 53], Operations: ['97-44=53']
Exploring Operation: 1+22=23, Resulting Numbers: [53, 23]
Generated Node #0,4,0: 31:[53, 23] Operation: 1+22=23
Exploring Operation: 53-1=52, Resulting Numbers: [22, 52]
Generated Node #0,4,1: 31:[22, 52] Operation: 53-1=52
Exploring Operation: 53-22=31, Resulting Numbers: [1, 31]
Generated Node #0,4,2: 31:[1, 31] Operation: 53-22=31
Exploring Operation: 22/1=22, Resulting Numbers: [53, 22]
Generated Node #0,4,3: 31:[53, 22] Operation: 22/1=22
Exploring Operation: 1*22=22, Resulting Numbers: [53, 22]
Generated Node #0,4,4: 31:[53, 22] Operation: 1*22=22
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 31:[53, 23], Operations: ['97-44=53', '1+22=23']
Exploring Operation: 53-23=30, Resulting Numbers: [30]
30,31 unequal: No Solution
Exploring Operation: 53*23=1219, Resulting Numbers: [1219]
1219,31 unequal: No Solution
Exploring Operation: 53+23=76, Resulting Numbers: [76]
76,31 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 #0,4,1
Current State: 31:[22, 52], Operations: ['97-44=53', '53-1=52']
Exploring Operation: 22*52=1144, Resulting Numbers: [1144]
1144,31 unequal: No Solution
Exploring Operation: 22+52=74, Resulting Numbers: [74]
74,31 unequal: No Solution
Exploring Operation: 52-22=30, Resulting Numbers: [30]
30,31 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 #0,4,2
Current State: 31:[1, 31], Operations: ['97-44=53', '53-22=31']
Exploring Operation: 31-1=30, Resulting Numbers: [30]
30,31 unequal: No Solution
Exploring Operation: 31/1=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Moving to Node #0
Current State: 31:[44, 1, 22, 97], Operations: []
Exploring Operation: 97-44=53, Resulting Numbers: [1, 22, 53]
Generated Node #0,4: 31:[1, 22, 53] Operation: 97-44=53
Moving to Node #0,4
Current State: 31:[1, 22, 53], Operations: ['97-44=53']
Exploring Operation: 53-22=31, Resulting Numbers: [1, 31]
Generated Node #0,4,2: 31:[1, 31] Operation: 53-22=31
Moving to Node #0,4,2
Current State: 31:[1, 31], Operations: ['97-44=53', '53-22=31']
Exploring Operation: 31/1=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.980903 | hs_5 | mult_heuristic |
[
92,
37,
46,
37
] | 28 | [
"92-37=55",
"46+37=83",
"83-55=28"
] | Current State: 28:[92, 37, 46, 37], Operations: []
Exploring Operation: 92-37=55, Resulting Numbers: [46, 55]
Generated Node #2: [46, 55] from Operation: 92-37=55
Current State: 28:[46, 55], Operations: ['92-37=55']
Exploring Operation: 46+37=83, Resulting Numbers: [55, 83]
Generated Node #3: [55, 83] from Operation: 46+37=83
Current State: 28:[55, 83], Operations: ['92-37=55', '46+37=83']
Exploring Operation: 83-55=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[92, 37, 46, 37], Operations: []
Exploring Operation: 92-37=55, Resulting Numbers: [46, 37, 55]
Generated Node #0,0: 28:[46, 37, 55] Operation: 92-37=55
Exploring Operation: 46-37=9, Resulting Numbers: [92, 37, 9]
Generated Node #0,1: 28:[92, 37, 9] Operation: 46-37=9
Exploring Operation: 92-46=46, Resulting Numbers: [37, 37, 46]
Generated Node #0,2: 28:[37, 37, 46] Operation: 92-46=46
Exploring Operation: 92/46=2, Resulting Numbers: [37, 37, 2]
Generated Node #0,3: 28:[37, 37, 2] Operation: 92/46=2
Exploring Operation: 92-37=55, Resulting Numbers: [37, 46, 55]
Generated Node #0,4: 28:[37, 46, 55] Operation: 92-37=55
Moving to Node #0,3
Current State: 28:[37, 37, 2], Operations: ['92/46=2']
Exploring Operation: 37-2=35, Resulting Numbers: [37, 35]
Generated Node #0,3,0: 28:[37, 35] Operation: 37-2=35
Exploring Operation: 37/37=1, Resulting Numbers: [2, 1]
Generated Node #0,3,1: 28:[2, 1] Operation: 37/37=1
Exploring Operation: 37-37=0, Resulting Numbers: [2, 0]
Generated Node #0,3,2: 28:[2, 0] Operation: 37-37=0
Exploring Operation: 37+2=39, Resulting Numbers: [37, 39]
Generated Node #0,3,3: 28:[37, 39] Operation: 37+2=39
Exploring Operation: 37-2=35, Resulting Numbers: [37, 35]
Generated Node #0,3,4: 28:[37, 35] Operation: 37-2=35
Moving to Node #0,2
Current State: 28:[37, 37, 46], Operations: ['92-46=46']
Exploring Operation: 37+37=74, Resulting Numbers: [46, 74]
Generated Node #0,2,0: 28:[46, 74] Operation: 37+37=74
Exploring Operation: 46-37=9, Resulting Numbers: [37, 9]
Generated Node #0,2,1: 28:[37, 9] Operation: 46-37=9
Exploring Operation: 37-37=0, Resulting Numbers: [46, 0]
Generated Node #0,2,2: 28:[46, 0] Operation: 37-37=0
Exploring Operation: 46-37=9, Resulting Numbers: [37, 9]
Generated Node #0,2,3: 28:[37, 9] Operation: 46-37=9
Exploring Operation: 37/37=1, Resulting Numbers: [46, 1]
Generated Node #0,2,4: 28:[46, 1] Operation: 37/37=1
Moving to Node #0,0
Current State: 28:[46, 37, 55], Operations: ['92-37=55']
Exploring Operation: 46+55=101, Resulting Numbers: [37, 101]
Generated Node #0,0,0: 28:[37, 101] Operation: 46+55=101
Exploring Operation: 46+37=83, Resulting Numbers: [55, 83]
Generated Node #0,0,1: 28:[55, 83] Operation: 46+37=83
Exploring Operation: 55-46=9, Resulting Numbers: [37, 9]
Generated Node #0,0,2: 28:[37, 9] Operation: 55-46=9
Exploring Operation: 55-37=18, Resulting Numbers: [46, 18]
Generated Node #0,0,3: 28:[46, 18] Operation: 55-37=18
Exploring Operation: 46-37=9, Resulting Numbers: [55, 9]
Generated Node #0,0,4: 28:[55, 9] Operation: 46-37=9
Moving to Node #0,4
Current State: 28:[37, 46, 55], Operations: ['92-37=55']
Exploring Operation: 55-37=18, Resulting Numbers: [46, 18]
Generated Node #0,4,0: 28:[46, 18] Operation: 55-37=18
Exploring Operation: 37+55=92, Resulting Numbers: [46, 92]
Generated Node #0,4,1: 28:[46, 92] Operation: 37+55=92
Exploring Operation: 46-37=9, Resulting Numbers: [55, 9]
Generated Node #0,4,2: 28:[55, 9] Operation: 46-37=9
Exploring Operation: 37+46=83, Resulting Numbers: [55, 83]
Generated Node #0,4,3: 28:[55, 83] Operation: 37+46=83
Exploring Operation: 55-46=9, Resulting Numbers: [37, 9]
Generated Node #0,4,4: 28:[37, 9] Operation: 55-46=9
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 28:[37, 9], Operations: ['92-37=55', '55-46=9']
Exploring Operation: 37+9=46, Resulting Numbers: [46]
46,28 unequal: No Solution
Exploring Operation: 37-9=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[92, 37, 46, 37], Operations: []
Exploring Operation: 92-37=55, Resulting Numbers: [37, 46, 55]
Generated Node #0,4: 28:[37, 46, 55] Operation: 92-37=55
Moving to Node #0,4
Current State: 28:[37, 46, 55], Operations: ['92-37=55']
Exploring Operation: 55-46=9, Resulting Numbers: [37, 9]
Generated Node #0,4,4: 28:[37, 9] Operation: 55-46=9
Moving to Node #0,4,4
Current State: 28:[37, 9], Operations: ['92-37=55', '55-46=9']
Exploring Operation: 37-9=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Exit Sub Search at level 1
| 0.97309 | hs_5 | mult_heuristic |
[
67,
80,
28,
61
] | 76 | [
"80-67=13",
"28+61=89",
"89-13=76"
] | Current State: 76:[67, 80, 28, 61], Operations: []
Exploring Operation: 80-67=13, Resulting Numbers: [28, 61, 13]
Generated Node #2: [28, 61, 13] from Operation: 80-67=13
Current State: 76:[28, 61, 13], Operations: ['80-67=13']
Exploring Operation: 28+61=89, Resulting Numbers: [13, 89]
Generated Node #3: [13, 89] from Operation: 28+61=89
Current State: 76:[13, 89], Operations: ['80-67=13', '28+61=89']
Exploring Operation: 89-13=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[67, 80, 28, 61], Operations: []
Exploring Operation: 67-28=39, Resulting Numbers: [80, 61, 39]
Generated Node #0,0: 76:[80, 61, 39] Operation: 67-28=39
Exploring Operation: 80-61=19, Resulting Numbers: [67, 28, 19]
Generated Node #0,1: 76:[67, 28, 19] Operation: 80-61=19
Exploring Operation: 28+61=89, Resulting Numbers: [67, 80, 89]
Generated Node #0,2: 76:[67, 80, 89] Operation: 28+61=89
Exploring Operation: 61-28=33, Resulting Numbers: [67, 80, 33]
Generated Node #0,3: 76:[67, 80, 33] Operation: 61-28=33
Exploring Operation: 67-61=6, Resulting Numbers: [80, 28, 6]
Generated Node #0,4: 76:[80, 28, 6] Operation: 67-61=6
Moving to Node #0,4
Current State: 76:[80, 28, 6], Operations: ['67-61=6']
Exploring Operation: 80+6=86, Resulting Numbers: [28, 86]
Generated Node #0,4,0: 76:[28, 86] Operation: 80+6=86
Exploring Operation: 80-28=52, Resulting Numbers: [6, 52]
Generated Node #0,4,1: 76:[6, 52] Operation: 80-28=52
Exploring Operation: 80-6=74, Resulting Numbers: [28, 74]
Generated Node #0,4,2: 76:[28, 74] Operation: 80-6=74
Exploring Operation: 28+6=34, Resulting Numbers: [80, 34]
Generated Node #0,4,3: 76:[80, 34] Operation: 28+6=34
Exploring Operation: 28-6=22, Resulting Numbers: [80, 22]
Generated Node #0,4,4: 76:[80, 22] Operation: 28-6=22
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 76:[80, 22], Operations: ['67-61=6', '28-6=22']
Exploring Operation: 80-22=58, Resulting Numbers: [58]
58,76 unequal: No Solution
Exploring Operation: 80+22=102, Resulting Numbers: [102]
102,76 unequal: No Solution
Exploring Operation: 80*22=1760, Resulting Numbers: [1760]
1760,76 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:[80, 34], Operations: ['67-61=6', '28+6=34']
Exploring Operation: 80*34=2720, Resulting Numbers: [2720]
2720,76 unequal: No Solution
Exploring Operation: 80+34=114, Resulting Numbers: [114]
114,76 unequal: No Solution
Exploring Operation: 80-34=46, Resulting Numbers: [46]
46,76 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:[28, 74], Operations: ['67-61=6', '80-6=74']
Exploring Operation: 28*74=2072, Resulting Numbers: [2072]
2072,76 unequal: No Solution
Exploring Operation: 28+74=102, Resulting Numbers: [102]
102,76 unequal: No Solution
Exploring Operation: 74-28=46, Resulting Numbers: [46]
46,76 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:[6, 52], Operations: ['67-61=6', '80-28=52']
Exploring Operation: 6+52=58, Resulting Numbers: [58]
58,76 unequal: No Solution
Exploring Operation: 6*52=312, Resulting Numbers: [312]
312,76 unequal: No Solution
Exploring Operation: 52-6=46, Resulting Numbers: [46]
46,76 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 #0,4,0
Current State: 76:[28, 86], Operations: ['67-61=6', '80+6=86']
Exploring Operation: 28+86=114, Resulting Numbers: [114]
114,76 unequal: No Solution
Exploring Operation: 86-28=58, Resulting Numbers: [58]
58,76 unequal: No Solution
Exploring Operation: 28*86=2408, Resulting Numbers: [2408]
2408,76 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:[67, 80, 33], Operations: ['61-28=33']
Exploring Operation: 67-33=34, Resulting Numbers: [80, 34]
Generated Node #0,3,0: 76:[80, 34] Operation: 67-33=34
Exploring Operation: 80-33=47, Resulting Numbers: [67, 47]
Generated Node #0,3,1: 76:[67, 47] Operation: 80-33=47
Exploring Operation: 80+33=113, Resulting Numbers: [67, 113]
Generated Node #0,3,2: 76:[67, 113] Operation: 80+33=113
Exploring Operation: 67+33=100, Resulting Numbers: [80, 100]
Generated Node #0,3,3: 76:[80, 100] Operation: 67+33=100
Exploring Operation: 80-67=13, Resulting Numbers: [33, 13]
Generated Node #0,3,4: 76:[33, 13] Operation: 80-67=13
Moving to Node #0,1
Current State: 76:[67, 28, 19], Operations: ['80-61=19']
Exploring Operation: 67+19=86, Resulting Numbers: [28, 86]
Generated Node #0,1,0: 76:[28, 86] Operation: 67+19=86
Exploring Operation: 67-28=39, Resulting Numbers: [19, 39]
Generated Node #0,1,1: 76:[19, 39] Operation: 67-28=39
Exploring Operation: 28+19=47, Resulting Numbers: [67, 47]
Generated Node #0,1,2: 76:[67, 47] Operation: 28+19=47
Exploring Operation: 67+28=95, Resulting Numbers: [19, 95]
Generated Node #0,1,3: 76:[19, 95] Operation: 67+28=95
Exploring Operation: 28-19=9, Resulting Numbers: [67, 9]
Generated Node #0,1,4: 76:[67, 9] Operation: 28-19=9
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 76:[19, 39], Operations: ['80-61=19', '67-28=39']
Exploring Operation: 19+39=58, Resulting Numbers: [58]
58,76 unequal: No Solution
Exploring Operation: 19*39=741, Resulting Numbers: [741]
741,76 unequal: No Solution
Exploring Operation: 39-19=20, Resulting Numbers: [20]
20,76 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 #0,1,4
Current State: 76:[67, 9], Operations: ['80-61=19', '28-19=9']
Exploring Operation: 67-9=58, Resulting Numbers: [58]
58,76 unequal: No Solution
Exploring Operation: 67+9=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Moving to Node #0
Current State: 76:[67, 80, 28, 61], Operations: []
Exploring Operation: 80-61=19, Resulting Numbers: [67, 28, 19]
Generated Node #0,1: 76:[67, 28, 19] Operation: 80-61=19
Moving to Node #0,1
Current State: 76:[67, 28, 19], Operations: ['80-61=19']
Exploring Operation: 28-19=9, Resulting Numbers: [67, 9]
Generated Node #0,1,4: 76:[67, 9] Operation: 28-19=9
Moving to Node #0,1,4
Current State: 76:[67, 9], Operations: ['80-61=19', '28-19=9']
Exploring Operation: 67+9=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Exit Sub Search at level 1
| 0.961806 | hs_5 | sum_heuristic |
[
68,
61,
52,
87
] | 28 | [
"68-61=7",
"87-52=35",
"35-7=28"
] | Current State: 28:[68, 61, 52, 87], Operations: []
Exploring Operation: 68-61=7, Resulting Numbers: [52, 87, 7]
Generated Node #2: [52, 87, 7] from Operation: 68-61=7
Current State: 28:[52, 87, 7], Operations: ['68-61=7']
Exploring Operation: 87-52=35, Resulting Numbers: [7, 35]
Generated Node #3: [7, 35] from Operation: 87-52=35
Current State: 28:[7, 35], Operations: ['68-61=7', '87-52=35']
Exploring Operation: 35-7=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[68, 61, 52, 87], Operations: []
Exploring Operation: 68-52=16, Resulting Numbers: [61, 87, 16]
Generated Node #0,0: 28:[61, 87, 16] Operation: 68-52=16
Exploring Operation: 68-61=7, Resulting Numbers: [52, 87, 7]
Generated Node #0,1: 28:[52, 87, 7] Operation: 68-61=7
Exploring Operation: 87-68=19, Resulting Numbers: [61, 52, 19]
Generated Node #0,2: 28:[61, 52, 19] Operation: 87-68=19
Exploring Operation: 87-52=35, Resulting Numbers: [68, 61, 35]
Generated Node #0,3: 28:[68, 61, 35] Operation: 87-52=35
Exploring Operation: 87-61=26, Resulting Numbers: [68, 52, 26]
Generated Node #0,4: 28:[68, 52, 26] Operation: 87-61=26
Start Sub Search at level 1: Moving to Node #0,2
Current State: 28:[61, 52, 19], Operations: ['87-68=19']
Exploring Operation: 52-19=33, Resulting Numbers: [61, 33]
Generated Node #0,2,0: 28:[61, 33] Operation: 52-19=33
Exploring Operation: 52+19=71, Resulting Numbers: [61, 71]
Generated Node #0,2,1: 28:[61, 71] Operation: 52+19=71
Exploring Operation: 61-52=9, Resulting Numbers: [19, 9]
Generated Node #0,2,2: 28:[19, 9] Operation: 61-52=9
Exploring Operation: 61+19=80, Resulting Numbers: [52, 80]
Generated Node #0,2,3: 28:[52, 80] Operation: 61+19=80
Exploring Operation: 61-19=42, Resulting Numbers: [52, 42]
Generated Node #0,2,4: 28:[52, 42] Operation: 61-19=42
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 28:[19, 9], Operations: ['87-68=19', '61-52=9']
Exploring Operation: 19-9=10, Resulting Numbers: [10]
10,28 unequal: No Solution
Exploring Operation: 19*9=171, Resulting Numbers: [171]
171,28 unequal: No Solution
Exploring Operation: 19+9=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[68, 61, 52, 87], Operations: []
Exploring Operation: 87-68=19, Resulting Numbers: [61, 52, 19]
Generated Node #0,2: 28:[61, 52, 19] Operation: 87-68=19
Moving to Node #0,2
Current State: 28:[61, 52, 19], Operations: ['87-68=19']
Exploring Operation: 61-52=9, Resulting Numbers: [19, 9]
Generated Node #0,2,2: 28:[19, 9] Operation: 61-52=9
Moving to Node #0,2,2
Current State: 28:[19, 9], Operations: ['87-68=19', '61-52=9']
Exploring Operation: 19+9=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 |
[
9,
7,
27,
15
] | 75 | [
"9*7=63",
"27-15=12",
"63+12=75"
] | Current State: 75:[9, 7, 27, 15], Operations: []
Exploring Operation: 9*7=63, Resulting Numbers: [27, 15, 63]
Generated Node #2: [27, 15, 63] from Operation: 9*7=63
Current State: 75:[27, 15, 63], Operations: ['9*7=63']
Exploring Operation: 27-15=12, Resulting Numbers: [63, 12]
Generated Node #3: [63, 12] from Operation: 27-15=12
Current State: 75:[63, 12], Operations: ['9*7=63', '27-15=12']
Exploring Operation: 63+12=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[9, 7, 27, 15], Operations: []
Exploring Operation: 9+7=16, Resulting Numbers: [27, 15, 16]
Generated Node #0,0: 75:[27, 15, 16] Operation: 9+7=16
Exploring Operation: 9-7=2, Resulting Numbers: [27, 15, 2]
Generated Node #0,1: 75:[27, 15, 2] Operation: 9-7=2
Exploring Operation: 27/9=3, Resulting Numbers: [7, 15, 3]
Generated Node #0,2: 75:[7, 15, 3] Operation: 27/9=3
Exploring Operation: 27-9=18, Resulting Numbers: [7, 15, 18]
Generated Node #0,3: 75:[7, 15, 18] Operation: 27-9=18
Moving to Node #0,2
Current State: 75:[7, 15, 3], Operations: ['27/9=3']
Exploring Operation: 15/3=5, Resulting Numbers: [7, 5]
Generated Node #0,2,0: 75:[7, 5] Operation: 15/3=5
Exploring Operation: 7-3=4, Resulting Numbers: [15, 4]
Generated Node #0,2,1: 75:[15, 4] Operation: 7-3=4
Exploring Operation: 15-7=8, Resulting Numbers: [3, 8]
Generated Node #0,2,2: 75:[3, 8] Operation: 15-7=8
Exploring Operation: 7+15=22, Resulting Numbers: [3, 22]
Generated Node #0,2,3: 75:[3, 22] Operation: 7+15=22
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 75:[15, 4], Operations: ['27/9=3', '7-3=4']
Exploring Operation: 15-4=11, Resulting Numbers: [11]
11,75 unequal: No Solution
Exploring Operation: 15*4=60, Resulting Numbers: [60]
60,75 unequal: No Solution
Exploring Operation: 15+4=19, Resulting Numbers: [19]
19,75 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: 75:[7, 5], Operations: ['27/9=3', '15/3=5']
Exploring Operation: 7*5=35, Resulting Numbers: [35]
35,75 unequal: No Solution
Exploring Operation: 7+5=12, Resulting Numbers: [12]
12,75 unequal: No Solution
Exploring Operation: 7-5=2, Resulting Numbers: [2]
2,75 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: 75:[3, 8], Operations: ['27/9=3', '15-7=8']
Exploring Operation: 8-3=5, Resulting Numbers: [5]
5,75 unequal: No Solution
Exploring Operation: 3+8=11, Resulting Numbers: [11]
11,75 unequal: No Solution
Exploring Operation: 3*8=24, Resulting Numbers: [24]
24,75 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: 75:[3, 22], Operations: ['27/9=3', '7+15=22']
Exploring Operation: 3+22=25, Resulting Numbers: [25]
25,75 unequal: No Solution
Exploring Operation: 22-3=19, Resulting Numbers: [19]
19,75 unequal: No Solution
Exploring Operation: 3*22=66, Resulting Numbers: [66]
66,75 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: 75:[27, 15, 2], Operations: ['9-7=2']
Exploring Operation: 15+2=17, Resulting Numbers: [27, 17]
Generated Node #0,1,0: 75:[27, 17] Operation: 15+2=17
Exploring Operation: 27+2=29, Resulting Numbers: [15, 29]
Generated Node #0,1,1: 75:[15, 29] Operation: 27+2=29
Exploring Operation: 27-15=12, Resulting Numbers: [2, 12]
Generated Node #0,1,2: 75:[2, 12] Operation: 27-15=12
Exploring Operation: 27-2=25, Resulting Numbers: [15, 25]
Generated Node #0,1,3: 75:[15, 25] Operation: 27-2=25
Moving to Node #0,0
Current State: 75:[27, 15, 16], Operations: ['9+7=16']
Exploring Operation: 16-15=1, Resulting Numbers: [27, 1]
Generated Node #0,0,0: 75:[27, 1] Operation: 16-15=1
Exploring Operation: 15+16=31, Resulting Numbers: [27, 31]
Generated Node #0,0,1: 75:[27, 31] Operation: 15+16=31
Exploring Operation: 27-16=11, Resulting Numbers: [15, 11]
Generated Node #0,0,2: 75:[15, 11] Operation: 27-16=11
Exploring Operation: 27-15=12, Resulting Numbers: [16, 12]
Generated Node #0,0,3: 75:[16, 12] Operation: 27-15=12
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 75:[27, 1], Operations: ['9+7=16', '16-15=1']
Exploring Operation: 27/1=27, Resulting Numbers: [27]
27,75 unequal: No Solution
Exploring Operation: 27*1=27, Resulting Numbers: [27]
27,75 unequal: No Solution
Exploring Operation: 27+1=28, Resulting Numbers: [28]
28,75 unequal: No Solution
Exploring Operation: 27-1=26, Resulting Numbers: [26]
26,75 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: 75:[15, 11], Operations: ['9+7=16', '27-16=11']
Exploring Operation: 15*11=165, Resulting Numbers: [165]
165,75 unequal: No Solution
Exploring Operation: 15-11=4, Resulting Numbers: [4]
4,75 unequal: No Solution
Exploring Operation: 15+11=26, Resulting Numbers: [26]
26,75 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: 75:[16, 12], Operations: ['9+7=16', '27-15=12']
Exploring Operation: 16+12=28, Resulting Numbers: [28]
28,75 unequal: No Solution
Exploring Operation: 16*12=192, Resulting Numbers: [192]
192,75 unequal: No Solution
Exploring Operation: 16-12=4, Resulting Numbers: [4]
4,75 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: 75:[27, 31], Operations: ['9+7=16', '15+16=31']
Exploring Operation: 31-27=4, Resulting Numbers: [4]
4,75 unequal: No Solution
Exploring Operation: 27+31=58, Resulting Numbers: [58]
58,75 unequal: No Solution
Exploring Operation: 27*31=837, Resulting Numbers: [837]
837,75 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: 75:[7, 15, 18], Operations: ['27-9=18']
Exploring Operation: 7+18=25, Resulting Numbers: [15, 25]
Generated Node #0,3,0: 75:[15, 25] Operation: 7+18=25
Exploring Operation: 7+15=22, Resulting Numbers: [18, 22]
Generated Node #0,3,1: 75:[18, 22] Operation: 7+15=22
Exploring Operation: 18-15=3, Resulting Numbers: [7, 3]
Generated Node #0,3,2: 75:[7, 3] Operation: 18-15=3
Exploring Operation: 18-7=11, Resulting Numbers: [15, 11]
Generated Node #0,3,3: 75:[15, 11] Operation: 18-7=11
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 75:[15, 25], Operations: ['27-9=18', '7+18=25']
Exploring Operation: 15+25=40, Resulting Numbers: [40]
40,75 unequal: No Solution
Exploring Operation: 25-15=10, Resulting Numbers: [10]
10,75 unequal: No Solution
Exploring Operation: 15*25=375, Resulting Numbers: [375]
375,75 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: 75:[7, 3], Operations: ['27-9=18', '18-15=3']
Exploring Operation: 7-3=4, Resulting Numbers: [4]
4,75 unequal: No Solution
Exploring Operation: 7*3=21, Resulting Numbers: [21]
21,75 unequal: No Solution
Exploring Operation: 7+3=10, Resulting Numbers: [10]
10,75 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: 75:[15, 11], Operations: ['27-9=18', '18-7=11']
Exploring Operation: 15-11=4, Resulting Numbers: [4]
4,75 unequal: No Solution
Exploring Operation: 15+11=26, Resulting Numbers: [26]
26,75 unequal: No Solution
Exploring Operation: 15*11=165, Resulting Numbers: [165]
165,75 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: 75:[18, 22], Operations: ['27-9=18', '7+15=22']
Exploring Operation: 18+22=40, Resulting Numbers: [40]
40,75 unequal: No Solution
Exploring Operation: 22-18=4, Resulting Numbers: [4]
4,75 unequal: No Solution
Exploring Operation: 18*22=396, Resulting Numbers: [396]
396,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,3
Current State: 75:[15, 25], Operations: ['9-7=2', '27-2=25']
Exploring Operation: 25-15=10, Resulting Numbers: [10]
10,75 unequal: No Solution
Exploring Operation: 15*25=375, Resulting Numbers: [375]
375,75 unequal: No Solution
Exploring Operation: 15+25=40, Resulting Numbers: [40]
40,75 unequal: No Solution
Moving to Node #0,1,1
Current State: 75:[15, 29], Operations: ['9-7=2', '27+2=29']
Exploring Operation: 15+29=44, Resulting Numbers: [44]
44,75 unequal: No Solution
Exploring Operation: 29-15=14, Resulting Numbers: [14]
14,75 unequal: No Solution
Exploring Operation: 15*29=435, Resulting Numbers: [435]
435,75 unequal: No Solution
Moving to Node #0,1,0
Current State: 75:[27, 17], Operations: ['9-7=2', '15+2=17']
Exploring Operation: 27+17=44, Resulting Numbers: [44]
44,75 unequal: No Solution
Exploring Operation: 27-17=10, Resulting Numbers: [10]
10,75 unequal: No Solution
Exploring Operation: 27*17=459, Resulting Numbers: [459]
459,75 unequal: No Solution
Moving to Node #0,1,2
Current State: 75:[2, 12], Operations: ['9-7=2', '27-15=12']
Exploring Operation: 2+12=14, Resulting Numbers: [14]
14,75 unequal: No Solution
Exploring Operation: 12-2=10, Resulting Numbers: [10]
10,75 unequal: No Solution
Exploring Operation: 2*12=24, Resulting Numbers: [24]
24,75 unequal: No Solution
Exploring Operation: 12/2=6, Resulting Numbers: [6]
6,75 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
10,
40,
54,
61
] | 43 | [
"10+40=50",
"61-54=7",
"50-7=43"
] | Current State: 43:[10, 40, 54, 61], Operations: []
Exploring Operation: 10+40=50, Resulting Numbers: [54, 61, 50]
Generated Node #2: [54, 61, 50] from Operation: 10+40=50
Current State: 43:[54, 61, 50], Operations: ['10+40=50']
Exploring Operation: 61-54=7, Resulting Numbers: [50, 7]
Generated Node #3: [50, 7] from Operation: 61-54=7
Current State: 43:[50, 7], Operations: ['10+40=50', '61-54=7']
Exploring Operation: 50-7=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[10, 40, 54, 61], Operations: []
Exploring Operation: 10+40=50, Resulting Numbers: [54, 61, 50]
Generated Node #0,0: 43:[54, 61, 50] Operation: 10+40=50
Exploring Operation: 61-10=51, Resulting Numbers: [40, 54, 51]
Generated Node #0,1: 43:[40, 54, 51] Operation: 61-10=51
Exploring Operation: 40-10=30, Resulting Numbers: [54, 61, 30]
Generated Node #0,2: 43:[54, 61, 30] Operation: 40-10=30
Exploring Operation: 54-10=44, Resulting Numbers: [40, 61, 44]
Generated Node #0,3: 43:[40, 61, 44] Operation: 54-10=44
Start Sub Search at level 1: Moving to Node #0,1
Current State: 43:[40, 54, 51], Operations: ['61-10=51']
Exploring Operation: 54-40=14, Resulting Numbers: [51, 14]
Generated Node #0,1,0: 43:[51, 14] Operation: 54-40=14
Exploring Operation: 40+54=94, Resulting Numbers: [51, 94]
Generated Node #0,1,1: 43:[51, 94] Operation: 40+54=94
Exploring Operation: 51-40=11, Resulting Numbers: [54, 11]
Generated Node #0,1,2: 43:[54, 11] Operation: 51-40=11
Exploring Operation: 54-51=3, Resulting Numbers: [40, 3]
Generated Node #0,1,3: 43:[40, 3] Operation: 54-51=3
Moving to Node #0,1,0
Current State: 43:[51, 14], Operations: ['61-10=51', '54-40=14']
Exploring Operation: 51*14=714, Resulting Numbers: [714]
714,43 unequal: No Solution
Exploring Operation: 51-14=37, Resulting Numbers: [37]
37,43 unequal: No Solution
Exploring Operation: 51+14=65, Resulting Numbers: [65]
65,43 unequal: No Solution
Moving to Node #0,1,3
Current State: 43:[40, 3], Operations: ['61-10=51', '54-51=3']
Exploring Operation: 40+3=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Moving to Node #0
Current State: 43:[10, 40, 54, 61], Operations: []
Exploring Operation: 61-10=51, Resulting Numbers: [40, 54, 51]
Generated Node #0,1: 43:[40, 54, 51] Operation: 61-10=51
Moving to Node #0,1
Current State: 43:[40, 54, 51], Operations: ['61-10=51']
Exploring Operation: 54-51=3, Resulting Numbers: [40, 3]
Generated Node #0,1,3: 43:[40, 3] Operation: 54-51=3
Moving to Node #0,1,3
Current State: 43:[40, 3], Operations: ['61-10=51', '54-51=3']
Exploring Operation: 40+3=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_4 | sum_heuristic |
[
54,
3,
99,
10
] | 97 | [
"54+10=64",
"99/3=33",
"64+33=97"
] | Current State: 97:[54, 3, 99, 10], Operations: []
Exploring Operation: 54+10=64, Resulting Numbers: [3, 99, 64]
Generated Node #2: [3, 99, 64] from Operation: 54+10=64
Current State: 97:[3, 99, 64], Operations: ['54+10=64']
Exploring Operation: 99/3=33, Resulting Numbers: [64, 33]
Generated Node #3: [64, 33] from Operation: 99/3=33
Current State: 97:[64, 33], Operations: ['54+10=64', '99/3=33']
Exploring Operation: 64+33=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[54, 3, 99, 10], Operations: []
Exploring Operation: 3*10=30, Resulting Numbers: [54, 99, 30]
Generated Node #0,0: 97:[54, 99, 30] Operation: 3*10=30
Exploring Operation: 54+3=57, Resulting Numbers: [99, 10, 57]
Generated Node #0,1: 97:[99, 10, 57] Operation: 54+3=57
Start Sub Search at level 1: Moving to Node #0,0
Current State: 97:[54, 99, 30], Operations: ['3*10=30']
Exploring Operation: 54+30=84, Resulting Numbers: [99, 84]
Generated Node #0,0,0: 97:[99, 84] Operation: 54+30=84
Exploring Operation: 99-30=69, Resulting Numbers: [54, 69]
Generated Node #0,0,1: 97:[54, 69] Operation: 99-30=69
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 97:[99, 84], Operations: ['3*10=30', '54+30=84']
Exploring Operation: 99-84=15, Resulting Numbers: [15]
15,97 unequal: No Solution
Exploring Operation: 99+84=183, Resulting Numbers: [183]
183,97 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: 97:[54, 69], Operations: ['3*10=30', '99-30=69']
Exploring Operation: 54+69=123, Resulting Numbers: [123]
123,97 unequal: No Solution
Exploring Operation: 69-54=15, Resulting Numbers: [15]
15,97 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: 97:[99, 10, 57], Operations: ['54+3=57']
Exploring Operation: 10+57=67, Resulting Numbers: [99, 67]
Generated Node #0,1,0: 97:[99, 67] Operation: 10+57=67
Exploring Operation: 99-10=89, Resulting Numbers: [57, 89]
Generated Node #0,1,1: 97:[57, 89] Operation: 99-10=89
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 97:[99, 67], Operations: ['54+3=57', '10+57=67']
Exploring Operation: 99+67=166, Resulting Numbers: [166]
166,97 unequal: No Solution
Exploring Operation: 99-67=32, Resulting Numbers: [32]
32,97 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: 97:[57, 89], Operations: ['54+3=57', '99-10=89']
Exploring Operation: 57+89=146, Resulting Numbers: [146]
146,97 unequal: No Solution
Exploring Operation: 89-57=32, Resulting Numbers: [32]
32,97 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 |
[
28,
37,
70,
5
] | 83 | [
"28+37=65",
"65/5=13",
"70+13=83"
] | Current State: 83:[28, 37, 70, 5], Operations: []
Exploring Operation: 28+37=65, Resulting Numbers: [70, 5, 65]
Generated Node #2: [70, 5, 65] from Operation: 28+37=65
Current State: 83:[70, 5, 65], Operations: ['28+37=65']
Exploring Operation: 65/5=13, Resulting Numbers: [70, 13]
Generated Node #3: [70, 13] from Operation: 65/5=13
Current State: 83:[70, 13], Operations: ['28+37=65', '65/5=13']
Exploring Operation: 70+13=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[28, 37, 70, 5], Operations: []
Exploring Operation: 37+5=42, Resulting Numbers: [28, 70, 42]
Generated Node #0,0: 83:[28, 70, 42] Operation: 37+5=42
Exploring Operation: 28+5=33, Resulting Numbers: [37, 70, 33]
Generated Node #0,1: 83:[37, 70, 33] Operation: 28+5=33
Exploring Operation: 28+37=65, Resulting Numbers: [70, 5, 65]
Generated Node #0,2: 83:[70, 5, 65] Operation: 28+37=65
Exploring Operation: 70+5=75, Resulting Numbers: [28, 37, 75]
Generated Node #0,3: 83:[28, 37, 75] Operation: 70+5=75
Moving to Node #0,0
Current State: 83:[28, 70, 42], Operations: ['37+5=42']
Exploring Operation: 70-28=42, Resulting Numbers: [42, 42]
Generated Node #0,0,0: 83:[42, 42] Operation: 70-28=42
Exploring Operation: 28+42=70, Resulting Numbers: [70, 70]
Generated Node #0,0,1: 83:[70, 70] Operation: 28+42=70
Exploring Operation: 28+70=98, Resulting Numbers: [42, 98]
Generated Node #0,0,2: 83:[42, 98] Operation: 28+70=98
Exploring Operation: 42-28=14, Resulting Numbers: [70, 14]
Generated Node #0,0,3: 83:[70, 14] Operation: 42-28=14
Moving to Node #0,2
Current State: 83:[70, 5, 65], Operations: ['28+37=65']
Exploring Operation: 70-5=65, Resulting Numbers: [65, 65]
Generated Node #0,2,0: 83:[65, 65] Operation: 70-5=65
Exploring Operation: 65-5=60, Resulting Numbers: [70, 60]
Generated Node #0,2,1: 83:[70, 60] Operation: 65-5=60
Exploring Operation: 70+5=75, Resulting Numbers: [65, 75]
Generated Node #0,2,2: 83:[65, 75] Operation: 70+5=75
Exploring Operation: 5+65=70, Resulting Numbers: [70, 70]
Generated Node #0,2,3: 83:[70, 70] Operation: 5+65=70
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 83:[65, 75], Operations: ['28+37=65', '70+5=75']
Exploring Operation: 65*75=4875, Resulting Numbers: [4875]
4875,83 unequal: No Solution
Exploring Operation: 75-65=10, Resulting Numbers: [10]
10,83 unequal: No Solution
Exploring Operation: 65+75=140, Resulting Numbers: [140]
140,83 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 #0,2,3
Current State: 83:[70, 70], Operations: ['28+37=65', '5+65=70']
Exploring Operation: 70/70=1, Resulting Numbers: [1]
1,83 unequal: No Solution
Exploring Operation: 70-70=0, Resulting Numbers: [0]
0,83 unequal: No Solution
Exploring Operation: 70+70=140, Resulting Numbers: [140]
140,83 unequal: No Solution
Exploring Operation: 70*70=4900, Resulting Numbers: [4900]
4900,83 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:[65, 65], Operations: ['28+37=65', '70-5=65']
Exploring Operation: 65-65=0, Resulting Numbers: [0]
0,83 unequal: No Solution
Exploring Operation: 65/65=1, Resulting Numbers: [1]
1,83 unequal: No Solution
Exploring Operation: 65*65=4225, Resulting Numbers: [4225]
4225,83 unequal: No Solution
Exploring Operation: 65+65=130, Resulting Numbers: [130]
130,83 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 #0,2,1
Current State: 83:[70, 60], Operations: ['28+37=65', '65-5=60']
Exploring Operation: 70*60=4200, Resulting Numbers: [4200]
4200,83 unequal: No Solution
Exploring Operation: 70-60=10, Resulting Numbers: [10]
10,83 unequal: No Solution
Exploring Operation: 70+60=130, Resulting Numbers: [130]
130,83 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:[37, 70, 33], Operations: ['28+5=33']
Exploring Operation: 37+33=70, Resulting Numbers: [70, 70]
Generated Node #0,1,0: 83:[70, 70] Operation: 37+33=70
Exploring Operation: 70+33=103, Resulting Numbers: [37, 103]
Generated Node #0,1,1: 83:[37, 103] Operation: 70+33=103
Exploring Operation: 37-33=4, Resulting Numbers: [70, 4]
Generated Node #0,1,2: 83:[70, 4] Operation: 37-33=4
Exploring Operation: 37+70=107, Resulting Numbers: [33, 107]
Generated Node #0,1,3: 83:[33, 107] Operation: 37+70=107
Moving to Node #0,3
Current State: 83:[28, 37, 75], Operations: ['70+5=75']
Exploring Operation: 28+75=103, Resulting Numbers: [37, 103]
Generated Node #0,3,0: 83:[37, 103] Operation: 28+75=103
Exploring Operation: 28+37=65, Resulting Numbers: [75, 65]
Generated Node #0,3,1: 83:[75, 65] Operation: 28+37=65
Exploring Operation: 75-28=47, Resulting Numbers: [37, 47]
Generated Node #0,3,2: 83:[37, 47] Operation: 75-28=47
Exploring Operation: 37-28=9, Resulting Numbers: [75, 9]
Generated Node #0,3,3: 83:[75, 9] Operation: 37-28=9
Moving to Node #0,0,1
Current State: 83:[70, 70], Operations: ['37+5=42', '28+42=70']
Exploring Operation: 70+70=140, Resulting Numbers: [140]
140,83 unequal: No Solution
Exploring Operation: 70*70=4900, Resulting Numbers: [4900]
4900,83 unequal: No Solution
Exploring Operation: 70-70=0, Resulting Numbers: [0]
0,83 unequal: No Solution
Exploring Operation: 70/70=1, Resulting Numbers: [1]
1,83 unequal: No Solution
Moving to Node #0,1,0
Current State: 83:[70, 70], Operations: ['28+5=33', '37+33=70']
Exploring Operation: 70-70=0, Resulting Numbers: [0]
0,83 unequal: No Solution
Exploring Operation: 70+70=140, Resulting Numbers: [140]
140,83 unequal: No Solution
Exploring Operation: 70/70=1, Resulting Numbers: [1]
1,83 unequal: No Solution
Exploring Operation: 70*70=4900, Resulting Numbers: [4900]
4900,83 unequal: No Solution
Moving to Node #0,3,1
Current State: 83:[75, 65], Operations: ['70+5=75', '28+37=65']
Exploring Operation: 75+65=140, Resulting Numbers: [140]
140,83 unequal: No Solution
Exploring Operation: 75-65=10, Resulting Numbers: [10]
10,83 unequal: No Solution
Exploring Operation: 75*65=4875, Resulting Numbers: [4875]
4875,83 unequal: No Solution
Moving to Node #0,0,2
Current State: 83:[42, 98], Operations: ['37+5=42', '28+70=98']
Exploring Operation: 98-42=56, Resulting Numbers: [56]
56,83 unequal: No Solution
Exploring Operation: 42*98=4116, Resulting Numbers: [4116]
4116,83 unequal: No Solution
Exploring Operation: 42+98=140, Resulting Numbers: [140]
140,83 unequal: No Solution
Moving to Node #0,1,1
Current State: 83:[37, 103], Operations: ['28+5=33', '70+33=103']
Exploring Operation: 103-37=66, Resulting Numbers: [66]
66,83 unequal: No Solution
Exploring Operation: 37+103=140, Resulting Numbers: [140]
140,83 unequal: No Solution
Exploring Operation: 37*103=3811, Resulting Numbers: [3811]
3811,83 unequal: No Solution
Moving to Node #0,3,0
Current State: 83:[37, 103], Operations: ['70+5=75', '28+75=103']
Exploring Operation: 103-37=66, Resulting Numbers: [66]
66,83 unequal: No Solution
Exploring Operation: 37*103=3811, Resulting Numbers: [3811]
3811,83 unequal: No Solution
Exploring Operation: 37+103=140, Resulting Numbers: [140]
140,83 unequal: No Solution
Moving to Node #0,1,3
Current State: 83:[33, 107], Operations: ['28+5=33', '37+70=107']
Exploring Operation: 33*107=3531, Resulting Numbers: [3531]
3531,83 unequal: No Solution
Exploring Operation: 33+107=140, Resulting Numbers: [140]
140,83 unequal: No Solution
Exploring Operation: 107-33=74, Resulting Numbers: [74]
74,83 unequal: No Solution
Moving to Node #0,0,0
Current State: 83:[42, 42], Operations: ['37+5=42', '70-28=42']
Exploring Operation: 42+42=84, Resulting Numbers: [84]
84,83 unequal: No Solution
Exploring Operation: 42*42=1764, Resulting Numbers: [1764]
1764,83 unequal: No Solution
Exploring Operation: 42-42=0, Resulting Numbers: [0]
0,83 unequal: No Solution
Exploring Operation: 42/42=1, Resulting Numbers: [1]
1,83 unequal: No Solution
Moving to Node #0,3,3
Current State: 83:[75, 9], Operations: ['70+5=75', '37-28=9']
Exploring Operation: 75*9=675, Resulting Numbers: [675]
675,83 unequal: No Solution
Exploring Operation: 75-9=66, Resulting Numbers: [66]
66,83 unequal: No Solution
Exploring Operation: 75+9=84, Resulting Numbers: [84]
84,83 unequal: No Solution
Moving to Node #0,3,2
Current State: 83:[37, 47], Operations: ['70+5=75', '75-28=47']
Exploring Operation: 37*47=1739, Resulting Numbers: [1739]
1739,83 unequal: No Solution
Exploring Operation: 37+47=84, Resulting Numbers: [84]
84,83 unequal: No Solution
Exploring Operation: 47-37=10, Resulting Numbers: [10]
10,83 unequal: No Solution
Moving to Node #0,0,3
Current State: 83:[70, 14], Operations: ['37+5=42', '42-28=14']
Exploring Operation: 70+14=84, Resulting Numbers: [84]
84,83 unequal: No Solution
Exploring Operation: 70-14=56, Resulting Numbers: [56]
56,83 unequal: No Solution
Exploring Operation: 70/14=5, Resulting Numbers: [5]
5,83 unequal: No Solution
Exploring Operation: 70*14=980, Resulting Numbers: [980]
980,83 unequal: No Solution
Moving to Node #0,1,2
Current State: 83:[70, 4], Operations: ['28+5=33', '37-33=4']
Exploring Operation: 70-4=66, Resulting Numbers: [66]
66,83 unequal: No Solution
Exploring Operation: 70+4=74, Resulting Numbers: [74]
74,83 unequal: No Solution
Exploring Operation: 70*4=280, Resulting Numbers: [280]
280,83 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
7,
63,
43,
8
] | 60 | [
"63/7=9",
"43+8=51",
"9+51=60"
] | Current State: 60:[7, 63, 43, 8], Operations: []
Exploring Operation: 63/7=9, Resulting Numbers: [43, 8, 9]
Generated Node #2: [43, 8, 9] from Operation: 63/7=9
Current State: 60:[43, 8, 9], Operations: ['63/7=9']
Exploring Operation: 43+8=51, Resulting Numbers: [9, 51]
Generated Node #3: [9, 51] from Operation: 43+8=51
Current State: 60:[9, 51], Operations: ['63/7=9', '43+8=51']
Exploring Operation: 9+51=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[7, 63, 43, 8], Operations: []
Exploring Operation: 43-8=35, Resulting Numbers: [7, 63, 35]
Generated Node #0,0: 60:[7, 63, 35] Operation: 43-8=35
Exploring Operation: 63-43=20, Resulting Numbers: [7, 8, 20]
Generated Node #0,1: 60:[7, 8, 20] Operation: 63-43=20
Start Sub Search at level 1: Moving to Node #0,1
Current State: 60:[7, 8, 20], Operations: ['63-43=20']
Exploring Operation: 8-7=1, Resulting Numbers: [20, 1]
Generated Node #0,1,0: 60:[20, 1] Operation: 8-7=1
Exploring Operation: 7+8=15, Resulting Numbers: [20, 15]
Generated Node #0,1,1: 60:[20, 15] Operation: 7+8=15
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 60:[20, 15], Operations: ['63-43=20', '7+8=15']
Exploring Operation: 20+15=35, Resulting Numbers: [35]
35,60 unequal: No Solution
Exploring Operation: 20-15=5, Resulting Numbers: [5]
5,60 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: 60:[20, 1], Operations: ['63-43=20', '8-7=1']
Exploring Operation: 20/1=20, Resulting Numbers: [20]
20,60 unequal: No Solution
Exploring Operation: 20*1=20, Resulting Numbers: [20]
20,60 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
Start Sub Search at level 1: Moving to Node #0,0
Current State: 60:[7, 63, 35], Operations: ['43-8=35']
Exploring Operation: 35/7=5, Resulting Numbers: [63, 5]
Generated Node #0,0,0: 60:[63, 5] Operation: 35/7=5
Exploring Operation: 63-35=28, Resulting Numbers: [7, 28]
Generated Node #0,0,1: 60:[7, 28] Operation: 63-35=28
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 60:[63, 5], Operations: ['43-8=35', '35/7=5']
Exploring Operation: 63+5=68, Resulting Numbers: [68]
68,60 unequal: No Solution
Exploring Operation: 63-5=58, Resulting Numbers: [58]
58,60 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: 60:[7, 28], Operations: ['43-8=35', '63-35=28']
Exploring Operation: 28-7=21, Resulting Numbers: [21]
21,60 unequal: No Solution
Exploring Operation: 28/7=4, Resulting Numbers: [4]
4,60 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_2 | sum_heuristic |
[
47,
14,
3,
47
] | 28 | [
"47/47=1",
"3-1=2",
"14*2=28"
] | Current State: 28:[47, 14, 3, 47], Operations: []
Exploring Operation: 47/47=1, Resulting Numbers: [14, 3, 1]
Generated Node #2: [14, 3, 1] from Operation: 47/47=1
Current State: 28:[14, 3, 1], Operations: ['47/47=1']
Exploring Operation: 3-1=2, Resulting Numbers: [14, 2]
Generated Node #3: [14, 2] from Operation: 3-1=2
Current State: 28:[14, 2], Operations: ['47/47=1', '3-1=2']
Exploring Operation: 14*2=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[47, 14, 3, 47], Operations: []
Exploring Operation: 47-47=0, Resulting Numbers: [14, 3, 0]
Generated Node #0,0: 28:[14, 3, 0] Operation: 47-47=0
Exploring Operation: 47/47=1, Resulting Numbers: [14, 3, 1]
Generated Node #0,1: 28:[14, 3, 1] Operation: 47/47=1
Exploring Operation: 47-14=33, Resulting Numbers: [3, 47, 33]
Generated Node #0,2: 28:[3, 47, 33] Operation: 47-14=33
Moving to Node #0,1
Current State: 28:[14, 3, 1], Operations: ['47/47=1']
Exploring Operation: 14*1=14, Resulting Numbers: [3, 14]
Generated Node #0,1,0: 28:[3, 14] Operation: 14*1=14
Exploring Operation: 3-1=2, Resulting Numbers: [14, 2]
Generated Node #0,1,1: 28:[14, 2] Operation: 3-1=2
Exploring Operation: 3+1=4, Resulting Numbers: [14, 4]
Generated Node #0,1,2: 28:[14, 4] Operation: 3+1=4
Moving to Node #0,0
Current State: 28:[14, 3, 0], Operations: ['47-47=0']
Exploring Operation: 3+0=3, Resulting Numbers: [14, 3]
Generated Node #0,0,0: 28:[14, 3] Operation: 3+0=3
Exploring Operation: 14+0=14, Resulting Numbers: [3, 14]
Generated Node #0,0,1: 28:[3, 14] Operation: 14+0=14
Exploring Operation: 14-0=14, Resulting Numbers: [3, 14]
Generated Node #0,0,2: 28:[3, 14] Operation: 14-0=14
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 28:[14, 3], Operations: ['47-47=0', '3+0=3']
Exploring Operation: 14-3=11, Resulting Numbers: [11]
11,28 unequal: No Solution
Exploring Operation: 14*3=42, Resulting Numbers: [42]
42,28 unequal: No Solution
Exploring Operation: 14+3=17, Resulting Numbers: [17]
17,28 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 #0,0,1
Current State: 28:[3, 14], Operations: ['47-47=0', '14+0=14']
Exploring Operation: 3*14=42, Resulting Numbers: [42]
42,28 unequal: No Solution
Exploring Operation: 3+14=17, Resulting Numbers: [17]
17,28 unequal: No Solution
Exploring Operation: 14-3=11, Resulting Numbers: [11]
11,28 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:[3, 14], Operations: ['47-47=0', '14-0=14']
Exploring Operation: 3*14=42, Resulting Numbers: [42]
42,28 unequal: No Solution
Exploring Operation: 3+14=17, Resulting Numbers: [17]
17,28 unequal: No Solution
Exploring Operation: 14-3=11, Resulting Numbers: [11]
11,28 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: 28:[3, 47, 33], Operations: ['47-14=33']
Exploring Operation: 47-3=44, Resulting Numbers: [33, 44]
Generated Node #0,2,0: 28:[33, 44] Operation: 47-3=44
Exploring Operation: 47-33=14, Resulting Numbers: [3, 14]
Generated Node #0,2,1: 28:[3, 14] Operation: 47-33=14
Exploring Operation: 33-3=30, Resulting Numbers: [47, 30]
Generated Node #0,2,2: 28:[47, 30] Operation: 33-3=30
Moving to Node #0,1,1
Current State: 28:[14, 2], Operations: ['47/47=1', '3-1=2']
Exploring Operation: 14*2=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[47, 14, 3, 47], Operations: []
Exploring Operation: 47/47=1, Resulting Numbers: [14, 3, 1]
Generated Node #0,1: 28:[14, 3, 1] Operation: 47/47=1
Moving to Node #0,1
Current State: 28:[14, 3, 1], Operations: ['47/47=1']
Exploring Operation: 3-1=2, Resulting Numbers: [14, 2]
Generated Node #0,1,1: 28:[14, 2] Operation: 3-1=2
Moving to Node #0,1,1
Current State: 28:[14, 2], Operations: ['47/47=1', '3-1=2']
Exploring Operation: 14*2=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 0.977431 | hs_3 | sum_heuristic |
[
50,
57,
88,
39
] | 57 | [
"88-50=38",
"39-38=1",
"57*1=57"
] | Current State: 57:[50, 57, 88, 39], Operations: []
Exploring Operation: 88-50=38, Resulting Numbers: [57, 39, 38]
Generated Node #2: [57, 39, 38] from Operation: 88-50=38
Current State: 57:[57, 39, 38], Operations: ['88-50=38']
Exploring Operation: 39-38=1, Resulting Numbers: [57, 1]
Generated Node #3: [57, 1] from Operation: 39-38=1
Current State: 57:[57, 1], Operations: ['88-50=38', '39-38=1']
Exploring Operation: 57*1=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[50, 57, 88, 39], Operations: []
Exploring Operation: 88-39=49, Resulting Numbers: [50, 57, 49]
Generated Node #0,0: 57:[50, 57, 49] Operation: 88-39=49
Start Sub Search at level 1: Moving to Node #0,0
Current State: 57:[50, 57, 49], Operations: ['88-39=49']
Exploring Operation: 50-49=1, Resulting Numbers: [57, 1]
Generated Node #0,0,0: 57:[57, 1] Operation: 50-49=1
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 57:[57, 1], Operations: ['88-39=49', '50-49=1']
Exploring Operation: 57*1=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Moving to Node #0
Current State: 57:[50, 57, 88, 39], Operations: []
Exploring Operation: 88-39=49, Resulting Numbers: [50, 57, 49]
Generated Node #0,0: 57:[50, 57, 49] Operation: 88-39=49
Moving to Node #0,0
Current State: 57:[50, 57, 49], Operations: ['88-39=49']
Exploring Operation: 50-49=1, Resulting Numbers: [57, 1]
Generated Node #0,0,0: 57:[57, 1] Operation: 50-49=1
Moving to Node #0,0,0
Current State: 57:[57, 1], Operations: ['88-39=49', '50-49=1']
Exploring Operation: 57*1=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
93,
44,
59,
64
] | 74 | [
"93-44=49",
"59+64=123",
"123-49=74"
] | Current State: 74:[93, 44, 59, 64], Operations: []
Exploring Operation: 93-44=49, Resulting Numbers: [59, 64, 49]
Generated Node #2: [59, 64, 49] from Operation: 93-44=49
Current State: 74:[59, 64, 49], Operations: ['93-44=49']
Exploring Operation: 59+64=123, Resulting Numbers: [49, 123]
Generated Node #3: [49, 123] from Operation: 59+64=123
Current State: 74:[49, 123], Operations: ['93-44=49', '59+64=123']
Exploring Operation: 123-49=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[93, 44, 59, 64], Operations: []
Exploring Operation: 93-64=29, Resulting Numbers: [44, 59, 29]
Generated Node #0,0: 74:[44, 59, 29] Operation: 93-64=29
Exploring Operation: 64-59=5, Resulting Numbers: [93, 44, 5]
Generated Node #0,1: 74:[93, 44, 5] Operation: 64-59=5
Exploring Operation: 93-59=34, Resulting Numbers: [44, 64, 34]
Generated Node #0,2: 74:[44, 64, 34] Operation: 93-59=34
Start Sub Search at level 1: Moving to Node #0,2
Current State: 74:[44, 64, 34], Operations: ['93-59=34']
Exploring Operation: 44-34=10, Resulting Numbers: [64, 10]
Generated Node #0,2,0: 74:[64, 10] Operation: 44-34=10
Exploring Operation: 44+34=78, Resulting Numbers: [64, 78]
Generated Node #0,2,1: 74:[64, 78] Operation: 44+34=78
Exploring Operation: 64-34=30, Resulting Numbers: [44, 30]
Generated Node #0,2,2: 74:[44, 30] Operation: 64-34=30
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 74:[64, 78], Operations: ['93-59=34', '44+34=78']
Exploring Operation: 78-64=14, Resulting Numbers: [14]
14,74 unequal: No Solution
Exploring Operation: 64+78=142, Resulting Numbers: [142]
142,74 unequal: No Solution
Exploring Operation: 64*78=4992, Resulting Numbers: [4992]
4992,74 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: 74:[44, 30], Operations: ['93-59=34', '64-34=30']
Exploring Operation: 44+30=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Moving to Node #0
Current State: 74:[93, 44, 59, 64], Operations: []
Exploring Operation: 93-59=34, Resulting Numbers: [44, 64, 34]
Generated Node #0,2: 74:[44, 64, 34] Operation: 93-59=34
Moving to Node #0,2
Current State: 74:[44, 64, 34], Operations: ['93-59=34']
Exploring Operation: 64-34=30, Resulting Numbers: [44, 30]
Generated Node #0,2,2: 74:[44, 30] Operation: 64-34=30
Moving to Node #0,2,2
Current State: 74:[44, 30], Operations: ['93-59=34', '64-34=30']
Exploring Operation: 44+30=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.987847 | hs_3 | sum_heuristic |
[
5,
86,
84,
11
] | 27 | [
"86-84=2",
"11*2=22",
"5+22=27"
] | Current State: 27:[5, 86, 84, 11], Operations: []
Exploring Operation: 86-84=2, Resulting Numbers: [5, 11, 2]
Generated Node #2: [5, 11, 2] from Operation: 86-84=2
Current State: 27:[5, 11, 2], Operations: ['86-84=2']
Exploring Operation: 11*2=22, Resulting Numbers: [5, 22]
Generated Node #3: [5, 22] from Operation: 11*2=22
Current State: 27:[5, 22], Operations: ['86-84=2', '11*2=22']
Exploring Operation: 5+22=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[5, 86, 84, 11], Operations: []
Exploring Operation: 86-11=75, Resulting Numbers: [5, 84, 75]
Generated Node #0,0: 27:[5, 84, 75] Operation: 86-11=75
Exploring Operation: 86-84=2, Resulting Numbers: [5, 11, 2]
Generated Node #0,1: 27:[5, 11, 2] Operation: 86-84=2
Exploring Operation: 86-5=81, Resulting Numbers: [84, 11, 81]
Generated Node #0,2: 27:[84, 11, 81] Operation: 86-5=81
Exploring Operation: 84-11=73, Resulting Numbers: [5, 86, 73]
Generated Node #0,3: 27:[5, 86, 73] Operation: 84-11=73
Start Sub Search at level 1: Moving to Node #0,1
Current State: 27:[5, 11, 2], Operations: ['86-84=2']
Exploring Operation: 11-5=6, Resulting Numbers: [2, 6]
Generated Node #0,1,0: 27:[2, 6] Operation: 11-5=6
Exploring Operation: 5*2=10, Resulting Numbers: [11, 10]
Generated Node #0,1,1: 27:[11, 10] Operation: 5*2=10
Exploring Operation: 5-2=3, Resulting Numbers: [11, 3]
Generated Node #0,1,2: 27:[11, 3] Operation: 5-2=3
Exploring Operation: 11-2=9, Resulting Numbers: [5, 9]
Generated Node #0,1,3: 27:[5, 9] Operation: 11-2=9
Moving to Node #0,1,2
Current State: 27:[11, 3], Operations: ['86-84=2', '5-2=3']
Exploring Operation: 11*3=33, Resulting Numbers: [33]
33,27 unequal: No Solution
Exploring Operation: 11-3=8, Resulting Numbers: [8]
8,27 unequal: No Solution
Exploring Operation: 11+3=14, Resulting Numbers: [14]
14,27 unequal: No Solution
Moving to Node #0,1,3
Current State: 27:[5, 9], Operations: ['86-84=2', '11-2=9']
Exploring Operation: 5+9=14, Resulting Numbers: [14]
14,27 unequal: No Solution
Exploring Operation: 5*9=45, Resulting Numbers: [45]
45,27 unequal: No Solution
Exploring Operation: 9-5=4, Resulting Numbers: [4]
4,27 unequal: No Solution
Moving to Node #0,1,1
Current State: 27:[11, 10], Operations: ['86-84=2', '5*2=10']
Exploring Operation: 11-10=1, Resulting Numbers: [1]
1,27 unequal: No Solution
Exploring Operation: 11*10=110, Resulting Numbers: [110]
110,27 unequal: No Solution
Exploring Operation: 11+10=21, Resulting Numbers: [21]
21,27 unequal: No Solution
Moving to Node #0,1,0
Current State: 27:[2, 6], Operations: ['86-84=2', '11-5=6']
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,27 unequal: No Solution
Exploring Operation: 2+6=8, Resulting Numbers: [8]
8,27 unequal: No Solution
Exploring Operation: 2*6=12, Resulting Numbers: [12]
12,27 unequal: No Solution
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,27 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: 27:[5, 84, 75], Operations: ['86-11=75']
Exploring Operation: 75-5=70, Resulting Numbers: [84, 70]
Generated Node #0,0,0: 27:[84, 70] Operation: 75-5=70
Exploring Operation: 84-75=9, Resulting Numbers: [5, 9]
Generated Node #0,0,1: 27:[5, 9] Operation: 84-75=9
Exploring Operation: 75/5=15, Resulting Numbers: [84, 15]
Generated Node #0,0,2: 27:[84, 15] Operation: 75/5=15
Exploring Operation: 84-5=79, Resulting Numbers: [75, 79]
Generated Node #0,0,3: 27:[75, 79] Operation: 84-5=79
Moving to Node #0,0,1
Current State: 27:[5, 9], Operations: ['86-11=75', '84-75=9']
Exploring Operation: 9-5=4, Resulting Numbers: [4]
4,27 unequal: No Solution
Exploring Operation: 5*9=45, Resulting Numbers: [45]
45,27 unequal: No Solution
Exploring Operation: 5+9=14, Resulting Numbers: [14]
14,27 unequal: No Solution
Moving to Node #0,0,2
Current State: 27:[84, 15], Operations: ['86-11=75', '75/5=15']
Exploring Operation: 84-15=69, Resulting Numbers: [69]
69,27 unequal: No Solution
Exploring Operation: 84*15=1260, Resulting Numbers: [1260]
1260,27 unequal: No Solution
Exploring Operation: 84+15=99, Resulting Numbers: [99]
99,27 unequal: No Solution
Moving to Node #0,0,3
Current State: 27:[75, 79], Operations: ['86-11=75', '84-5=79']
Exploring Operation: 75+79=154, Resulting Numbers: [154]
154,27 unequal: No Solution
Exploring Operation: 79-75=4, Resulting Numbers: [4]
4,27 unequal: No Solution
Exploring Operation: 75*79=5925, Resulting Numbers: [5925]
5925,27 unequal: No Solution
Moving to Node #0,0,0
Current State: 27:[84, 70], Operations: ['86-11=75', '75-5=70']
Exploring Operation: 84*70=5880, Resulting Numbers: [5880]
5880,27 unequal: No Solution
Exploring Operation: 84+70=154, Resulting Numbers: [154]
154,27 unequal: No Solution
Exploring Operation: 84-70=14, Resulting Numbers: [14]
14,27 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: 27:[5, 86, 73], Operations: ['84-11=73']
Exploring Operation: 73-5=68, Resulting Numbers: [86, 68]
Generated Node #0,3,0: 27:[86, 68] Operation: 73-5=68
Exploring Operation: 86-73=13, Resulting Numbers: [5, 13]
Generated Node #0,3,1: 27:[5, 13] Operation: 86-73=13
Exploring Operation: 5+86=91, Resulting Numbers: [73, 91]
Generated Node #0,3,2: 27:[73, 91] Operation: 5+86=91
Exploring Operation: 86-5=81, Resulting Numbers: [73, 81]
Generated Node #0,3,3: 27:[73, 81] Operation: 86-5=81
Moving to Node #0,3,1
Current State: 27:[5, 13], Operations: ['84-11=73', '86-73=13']
Exploring Operation: 13-5=8, Resulting Numbers: [8]
8,27 unequal: No Solution
Exploring Operation: 5*13=65, Resulting Numbers: [65]
65,27 unequal: No Solution
Exploring Operation: 5+13=18, Resulting Numbers: [18]
18,27 unequal: No Solution
Moving to Node #0,3,3
Current State: 27:[73, 81], Operations: ['84-11=73', '86-5=81']
Exploring Operation: 81-73=8, Resulting Numbers: [8]
8,27 unequal: No Solution
Exploring Operation: 73+81=154, Resulting Numbers: [154]
154,27 unequal: No Solution
Exploring Operation: 73*81=5913, Resulting Numbers: [5913]
5913,27 unequal: No Solution
Moving to Node #0,3,0
Current State: 27:[86, 68], Operations: ['84-11=73', '73-5=68']
Exploring Operation: 86-68=18, Resulting Numbers: [18]
18,27 unequal: No Solution
Exploring Operation: 86*68=5848, Resulting Numbers: [5848]
5848,27 unequal: No Solution
Exploring Operation: 86+68=154, Resulting Numbers: [154]
154,27 unequal: No Solution
Moving to Node #0,3,2
Current State: 27:[73, 91], Operations: ['84-11=73', '5+86=91']
Exploring Operation: 73+91=164, Resulting Numbers: [164]
164,27 unequal: No Solution
Exploring Operation: 91-73=18, Resulting Numbers: [18]
18,27 unequal: No Solution
Exploring Operation: 73*91=6643, Resulting Numbers: [6643]
6643,27 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: 27:[84, 11, 81], Operations: ['86-5=81']
Exploring Operation: 84+11=95, Resulting Numbers: [81, 95]
Generated Node #0,2,0: 27:[81, 95] Operation: 84+11=95
Exploring Operation: 84-81=3, Resulting Numbers: [11, 3]
Generated Node #0,2,1: 27:[11, 3] Operation: 84-81=3
Exploring Operation: 81-11=70, Resulting Numbers: [84, 70]
Generated Node #0,2,2: 27:[84, 70] Operation: 81-11=70
Exploring Operation: 84-11=73, Resulting Numbers: [81, 73]
Generated Node #0,2,3: 27:[81, 73] Operation: 84-11=73
Moving to Node #0,2,1
Current State: 27:[11, 3], Operations: ['86-5=81', '84-81=3']
Exploring Operation: 11*3=33, Resulting Numbers: [33]
33,27 unequal: No Solution
Exploring Operation: 11+3=14, Resulting Numbers: [14]
14,27 unequal: No Solution
Exploring Operation: 11-3=8, Resulting Numbers: [8]
8,27 unequal: No Solution
Moving to Node #0,2,3
Current State: 27:[81, 73], Operations: ['86-5=81', '84-11=73']
Exploring Operation: 81-73=8, Resulting Numbers: [8]
8,27 unequal: No Solution
Exploring Operation: 81*73=5913, Resulting Numbers: [5913]
5913,27 unequal: No Solution
Exploring Operation: 81+73=154, Resulting Numbers: [154]
154,27 unequal: No Solution
Moving to Node #0,2,2
Current State: 27:[84, 70], Operations: ['86-5=81', '81-11=70']
Exploring Operation: 84+70=154, Resulting Numbers: [154]
154,27 unequal: No Solution
Exploring Operation: 84-70=14, Resulting Numbers: [14]
14,27 unequal: No Solution
Exploring Operation: 84*70=5880, Resulting Numbers: [5880]
5880,27 unequal: No Solution
Moving to Node #0,2,0
Current State: 27:[81, 95], Operations: ['86-5=81', '84+11=95']
Exploring Operation: 81*95=7695, Resulting Numbers: [7695]
7695,27 unequal: No Solution
Exploring Operation: 95-81=14, Resulting Numbers: [14]
14,27 unequal: No Solution
Exploring Operation: 81+95=176, Resulting Numbers: [176]
176,27 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 |
[
96,
15,
48,
80
] | 87 | [
"15*48=720",
"720/80=9",
"96-9=87"
] | Current State: 87:[96, 15, 48, 80], Operations: []
Exploring Operation: 15*48=720, Resulting Numbers: [96, 80, 720]
Generated Node #2: [96, 80, 720] from Operation: 15*48=720
Current State: 87:[96, 80, 720], Operations: ['15*48=720']
Exploring Operation: 720/80=9, Resulting Numbers: [96, 9]
Generated Node #3: [96, 9] from Operation: 720/80=9
Current State: 87:[96, 9], Operations: ['15*48=720', '720/80=9']
Exploring Operation: 96-9=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[96, 15, 48, 80], Operations: []
Exploring Operation: 96/48=2, Resulting Numbers: [15, 80, 2]
Generated Node #0,0: 87:[15, 80, 2] Operation: 96/48=2
Exploring Operation: 48-15=33, Resulting Numbers: [96, 80, 33]
Generated Node #0,1: 87:[96, 80, 33] Operation: 48-15=33
Start Sub Search at level 1: Moving to Node #0,0
Current State: 87:[15, 80, 2], Operations: ['96/48=2']
Exploring Operation: 15+80=95, Resulting Numbers: [2, 95]
Generated Node #0,0,0: 87:[2, 95] Operation: 15+80=95
Exploring Operation: 15*2=30, Resulting Numbers: [80, 30]
Generated Node #0,0,1: 87:[80, 30] Operation: 15*2=30
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 87:[80, 30], Operations: ['96/48=2', '15*2=30']
Exploring Operation: 80+30=110, Resulting Numbers: [110]
110,87 unequal: No Solution
Exploring Operation: 80-30=50, Resulting Numbers: [50]
50,87 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: 87:[2, 95], Operations: ['96/48=2', '15+80=95']
Exploring Operation: 95-2=93, Resulting Numbers: [93]
93,87 unequal: No Solution
Exploring Operation: 2+95=97, Resulting Numbers: [97]
97,87 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: 87:[96, 80, 33], Operations: ['48-15=33']
Exploring Operation: 96-80=16, Resulting Numbers: [33, 16]
Generated Node #0,1,0: 87:[33, 16] Operation: 96-80=16
Exploring Operation: 80-33=47, Resulting Numbers: [96, 47]
Generated Node #0,1,1: 87:[96, 47] Operation: 80-33=47
Moving to Node #0,1,0
Current State: 87:[33, 16], Operations: ['48-15=33', '96-80=16']
Exploring Operation: 33+16=49, Resulting Numbers: [49]
49,87 unequal: No Solution
Exploring Operation: 33-16=17, Resulting Numbers: [17]
17,87 unequal: No Solution
Moving to Node #0,1,1
Current State: 87:[96, 47], Operations: ['48-15=33', '80-33=47']
Exploring Operation: 96+47=143, Resulting Numbers: [143]
143,87 unequal: No Solution
Exploring Operation: 96-47=49, Resulting Numbers: [49]
49,87 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 |
[
80,
8,
37,
72
] | 53 | [
"80+8=88",
"72-37=35",
"88-35=53"
] | Current State: 53:[80, 8, 37, 72], Operations: []
Exploring Operation: 80+8=88, Resulting Numbers: [37, 72, 88]
Generated Node #2: [37, 72, 88] from Operation: 80+8=88
Current State: 53:[37, 72, 88], Operations: ['80+8=88']
Exploring Operation: 72-37=35, Resulting Numbers: [88, 35]
Generated Node #3: [88, 35] from Operation: 72-37=35
Current State: 53:[88, 35], Operations: ['80+8=88', '72-37=35']
Exploring Operation: 88-35=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[80, 8, 37, 72], Operations: []
Exploring Operation: 8+37=45, Resulting Numbers: [80, 72, 45]
Generated Node #0,0: 53:[80, 72, 45] Operation: 8+37=45
Exploring Operation: 80-8=72, Resulting Numbers: [37, 72, 72]
Generated Node #0,1: 53:[37, 72, 72] Operation: 80-8=72
Start Sub Search at level 1: Moving to Node #0,0
Current State: 53:[80, 72, 45], Operations: ['8+37=45']
Exploring Operation: 80-72=8, Resulting Numbers: [45, 8]
Generated Node #0,0,0: 53:[45, 8] Operation: 80-72=8
Exploring Operation: 80-45=35, Resulting Numbers: [72, 35]
Generated Node #0,0,1: 53:[72, 35] Operation: 80-45=35
Moving to Node #0,0,1
Current State: 53:[72, 35], Operations: ['8+37=45', '80-45=35']
Exploring Operation: 72+35=107, Resulting Numbers: [107]
107,53 unequal: No Solution
Exploring Operation: 72-35=37, Resulting Numbers: [37]
37,53 unequal: No Solution
Moving to Node #0,0,0
Current State: 53:[45, 8], Operations: ['8+37=45', '80-72=8']
Exploring Operation: 45+8=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Moving to Node #0
Current State: 53:[80, 8, 37, 72], Operations: []
Exploring Operation: 8+37=45, Resulting Numbers: [80, 72, 45]
Generated Node #0,0: 53:[80, 72, 45] Operation: 8+37=45
Moving to Node #0,0
Current State: 53:[80, 72, 45], Operations: ['8+37=45']
Exploring Operation: 80-72=8, Resulting Numbers: [45, 8]
Generated Node #0,0,0: 53:[45, 8] Operation: 80-72=8
Moving to Node #0,0,0
Current State: 53:[45, 8], Operations: ['8+37=45', '80-72=8']
Exploring Operation: 45+8=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_2 | mult_heuristic |
[
19,
13,
32,
22
] | 16 | [
"19-13=6",
"32-22=10",
"6+10=16"
] | Current State: 16:[19, 13, 32, 22], Operations: []
Exploring Operation: 19-13=6, Resulting Numbers: [32, 22, 6]
Generated Node #2: [32, 22, 6] from Operation: 19-13=6
Current State: 16:[32, 22, 6], Operations: ['19-13=6']
Exploring Operation: 32-22=10, Resulting Numbers: [6, 10]
Generated Node #3: [6, 10] from Operation: 32-22=10
Current State: 16:[6, 10], Operations: ['19-13=6', '32-22=10']
Exploring Operation: 6+10=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[19, 13, 32, 22], Operations: []
Exploring Operation: 22-13=9, Resulting Numbers: [19, 32, 9]
Generated Node #0,0: 16:[19, 32, 9] Operation: 22-13=9
Exploring Operation: 22-19=3, Resulting Numbers: [13, 32, 3]
Generated Node #0,1: 16:[13, 32, 3] Operation: 22-19=3
Exploring Operation: 32-19=13, Resulting Numbers: [13, 22, 13]
Generated Node #0,2: 16:[13, 22, 13] Operation: 32-19=13
Exploring Operation: 32-22=10, Resulting Numbers: [19, 13, 10]
Generated Node #0,3: 16:[19, 13, 10] Operation: 32-22=10
Exploring Operation: 32-13=19, Resulting Numbers: [19, 22, 19]
Generated Node #0,4: 16:[19, 22, 19] Operation: 32-13=19
Moving to Node #0,3
Current State: 16:[19, 13, 10], Operations: ['32-22=10']
Exploring Operation: 13+10=23, Resulting Numbers: [19, 23]
Generated Node #0,3,0: 16:[19, 23] Operation: 13+10=23
Exploring Operation: 19-10=9, Resulting Numbers: [13, 9]
Generated Node #0,3,1: 16:[13, 9] Operation: 19-10=9
Exploring Operation: 19-13=6, Resulting Numbers: [10, 6]
Generated Node #0,3,2: 16:[10, 6] Operation: 19-13=6
Exploring Operation: 13-10=3, Resulting Numbers: [19, 3]
Generated Node #0,3,3: 16:[19, 3] Operation: 13-10=3
Exploring Operation: 19+10=29, Resulting Numbers: [13, 29]
Generated Node #0,3,4: 16:[13, 29] Operation: 19+10=29
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 16:[13, 9], Operations: ['32-22=10', '19-10=9']
Exploring Operation: 13-9=4, Resulting Numbers: [4]
4,16 unequal: No Solution
Exploring Operation: 13+9=22, Resulting Numbers: [22]
22,16 unequal: No Solution
Exploring Operation: 13*9=117, Resulting Numbers: [117]
117,16 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: 16:[10, 6], Operations: ['32-22=10', '19-13=6']
Exploring Operation: 10*6=60, Resulting Numbers: [60]
60,16 unequal: No Solution
Exploring Operation: 10+6=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[19, 13, 32, 22], Operations: []
Exploring Operation: 32-22=10, Resulting Numbers: [19, 13, 10]
Generated Node #0,3: 16:[19, 13, 10] Operation: 32-22=10
Moving to Node #0,3
Current State: 16:[19, 13, 10], Operations: ['32-22=10']
Exploring Operation: 19-13=6, Resulting Numbers: [10, 6]
Generated Node #0,3,2: 16:[10, 6] Operation: 19-13=6
Moving to Node #0,3,2
Current State: 16:[10, 6], Operations: ['32-22=10', '19-13=6']
Exploring Operation: 10+6=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_5 | sum_heuristic |
[
32,
46,
3,
71
] | 59 | [
"71-32=39",
"39/3=13",
"46+13=59"
] | Current State: 59:[32, 46, 3, 71], Operations: []
Exploring Operation: 71-32=39, Resulting Numbers: [46, 3, 39]
Generated Node #2: [46, 3, 39] from Operation: 71-32=39
Current State: 59:[46, 3, 39], Operations: ['71-32=39']
Exploring Operation: 39/3=13, Resulting Numbers: [46, 13]
Generated Node #3: [46, 13] from Operation: 39/3=13
Current State: 59:[46, 13], Operations: ['71-32=39', '39/3=13']
Exploring Operation: 46+13=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[32, 46, 3, 71], Operations: []
Exploring Operation: 32-3=29, Resulting Numbers: [46, 71, 29]
Generated Node #0,0: 59:[46, 71, 29] Operation: 32-3=29
Exploring Operation: 71-3=68, Resulting Numbers: [32, 46, 68]
Generated Node #0,1: 59:[32, 46, 68] Operation: 71-3=68
Exploring Operation: 46+3=49, Resulting Numbers: [32, 71, 49]
Generated Node #0,2: 59:[32, 71, 49] Operation: 46+3=49
Exploring Operation: 32+3=35, Resulting Numbers: [46, 71, 35]
Generated Node #0,3: 59:[46, 71, 35] Operation: 32+3=35
Start Sub Search at level 1: Moving to Node #0,1
Current State: 59:[32, 46, 68], Operations: ['71-3=68']
Exploring Operation: 68-32=36, Resulting Numbers: [46, 36]
Generated Node #0,1,0: 59:[46, 36] Operation: 68-32=36
Exploring Operation: 32+68=100, Resulting Numbers: [46, 100]
Generated Node #0,1,1: 59:[46, 100] Operation: 32+68=100
Exploring Operation: 32+46=78, Resulting Numbers: [68, 78]
Generated Node #0,1,2: 59:[68, 78] Operation: 32+46=78
Exploring Operation: 46-32=14, Resulting Numbers: [68, 14]
Generated Node #0,1,3: 59:[68, 14] Operation: 46-32=14
Moving to Node #0,1,2
Current State: 59:[68, 78], Operations: ['71-3=68', '32+46=78']
Exploring Operation: 68*78=5304, Resulting Numbers: [5304]
5304,59 unequal: No Solution
Exploring Operation: 68+78=146, Resulting Numbers: [146]
146,59 unequal: No Solution
Exploring Operation: 78-68=10, Resulting Numbers: [10]
10,59 unequal: No Solution
Moving to Node #0,1,0
Current State: 59:[46, 36], Operations: ['71-3=68', '68-32=36']
Exploring Operation: 46*36=1656, Resulting Numbers: [1656]
1656,59 unequal: No Solution
Exploring Operation: 46+36=82, Resulting Numbers: [82]
82,59 unequal: No Solution
Exploring Operation: 46-36=10, Resulting Numbers: [10]
10,59 unequal: No Solution
Moving to Node #0,1,3
Current State: 59:[68, 14], Operations: ['71-3=68', '46-32=14']
Exploring Operation: 68*14=952, Resulting Numbers: [952]
952,59 unequal: No Solution
Exploring Operation: 68+14=82, Resulting Numbers: [82]
82,59 unequal: No Solution
Exploring Operation: 68-14=54, Resulting Numbers: [54]
54,59 unequal: No Solution
Moving to Node #0,1,1
Current State: 59:[46, 100], Operations: ['71-3=68', '32+68=100']
Exploring Operation: 46+100=146, Resulting Numbers: [146]
146,59 unequal: No Solution
Exploring Operation: 100-46=54, Resulting Numbers: [54]
54,59 unequal: No Solution
Exploring Operation: 46*100=4600, Resulting Numbers: [4600]
4600,59 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 #0,2
Current State: 59:[32, 71, 49], Operations: ['46+3=49']
Exploring Operation: 32+71=103, Resulting Numbers: [49, 103]
Generated Node #0,2,0: 59:[49, 103] Operation: 32+71=103
Exploring Operation: 71-32=39, Resulting Numbers: [49, 39]
Generated Node #0,2,1: 59:[49, 39] Operation: 71-32=39
Exploring Operation: 32+49=81, Resulting Numbers: [71, 81]
Generated Node #0,2,2: 59:[71, 81] Operation: 32+49=81
Exploring Operation: 49-32=17, Resulting Numbers: [71, 17]
Generated Node #0,2,3: 59:[71, 17] Operation: 49-32=17
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 59:[49, 39], Operations: ['46+3=49', '71-32=39']
Exploring Operation: 49-39=10, Resulting Numbers: [10]
10,59 unequal: No Solution
Exploring Operation: 49*39=1911, Resulting Numbers: [1911]
1911,59 unequal: No Solution
Exploring Operation: 49+39=88, Resulting Numbers: [88]
88,59 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: 59:[71, 81], Operations: ['46+3=49', '32+49=81']
Exploring Operation: 71*81=5751, Resulting Numbers: [5751]
5751,59 unequal: No Solution
Exploring Operation: 71+81=152, Resulting Numbers: [152]
152,59 unequal: No Solution
Exploring Operation: 81-71=10, Resulting Numbers: [10]
10,59 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: 59:[49, 103], Operations: ['46+3=49', '32+71=103']
Exploring Operation: 49+103=152, Resulting Numbers: [152]
152,59 unequal: No Solution
Exploring Operation: 103-49=54, Resulting Numbers: [54]
54,59 unequal: No Solution
Exploring Operation: 49*103=5047, Resulting Numbers: [5047]
5047,59 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: 59:[71, 17], Operations: ['46+3=49', '49-32=17']
Exploring Operation: 71-17=54, Resulting Numbers: [54]
54,59 unequal: No Solution
Exploring Operation: 71*17=1207, Resulting Numbers: [1207]
1207,59 unequal: No Solution
Exploring Operation: 71+17=88, Resulting Numbers: [88]
88,59 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: 59:[46, 71, 35], Operations: ['32+3=35']
Exploring Operation: 46-35=11, Resulting Numbers: [71, 11]
Generated Node #0,3,0: 59:[71, 11] Operation: 46-35=11
Exploring Operation: 71-46=25, Resulting Numbers: [35, 25]
Generated Node #0,3,1: 59:[35, 25] Operation: 71-46=25
Exploring Operation: 46+35=81, Resulting Numbers: [71, 81]
Generated Node #0,3,2: 59:[71, 81] Operation: 46+35=81
Exploring Operation: 71-35=36, Resulting Numbers: [46, 36]
Generated Node #0,3,3: 59:[46, 36] Operation: 71-35=36
Moving to Node #0,3,2
Current State: 59:[71, 81], Operations: ['32+3=35', '46+35=81']
Exploring Operation: 71+81=152, Resulting Numbers: [152]
152,59 unequal: No Solution
Exploring Operation: 71*81=5751, Resulting Numbers: [5751]
5751,59 unequal: No Solution
Exploring Operation: 81-71=10, Resulting Numbers: [10]
10,59 unequal: No Solution
Moving to Node #0,3,3
Current State: 59:[46, 36], Operations: ['32+3=35', '71-35=36']
Exploring Operation: 46+36=82, Resulting Numbers: [82]
82,59 unequal: No Solution
Exploring Operation: 46*36=1656, Resulting Numbers: [1656]
1656,59 unequal: No Solution
Exploring Operation: 46-36=10, Resulting Numbers: [10]
10,59 unequal: No Solution
Moving to Node #0,3,1
Current State: 59:[35, 25], Operations: ['32+3=35', '71-46=25']
Exploring Operation: 35*25=875, Resulting Numbers: [875]
875,59 unequal: No Solution
Exploring Operation: 35+25=60, Resulting Numbers: [60]
60,59 unequal: No Solution
Exploring Operation: 35-25=10, Resulting Numbers: [10]
10,59 unequal: No Solution
Moving to Node #0,3,0
Current State: 59:[71, 11], Operations: ['32+3=35', '46-35=11']
Exploring Operation: 71+11=82, Resulting Numbers: [82]
82,59 unequal: No Solution
Exploring Operation: 71-11=60, Resulting Numbers: [60]
60,59 unequal: No Solution
Exploring Operation: 71*11=781, Resulting Numbers: [781]
781,59 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 #0,0
Current State: 59:[46, 71, 29], Operations: ['32-3=29']
Exploring Operation: 71-29=42, Resulting Numbers: [46, 42]
Generated Node #0,0,0: 59:[46, 42] Operation: 71-29=42
Exploring Operation: 46+29=75, Resulting Numbers: [71, 75]
Generated Node #0,0,1: 59:[71, 75] Operation: 46+29=75
Exploring Operation: 71+29=100, Resulting Numbers: [46, 100]
Generated Node #0,0,2: 59:[46, 100] Operation: 71+29=100
Exploring Operation: 46-29=17, Resulting Numbers: [71, 17]
Generated Node #0,0,3: 59:[71, 17] Operation: 46-29=17
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 59:[71, 75], Operations: ['32-3=29', '46+29=75']
Exploring Operation: 71*75=5325, Resulting Numbers: [5325]
5325,59 unequal: No Solution
Exploring Operation: 75-71=4, Resulting Numbers: [4]
4,59 unequal: No Solution
Exploring Operation: 71+75=146, Resulting Numbers: [146]
146,59 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: 59:[46, 42], Operations: ['32-3=29', '71-29=42']
Exploring Operation: 46+42=88, Resulting Numbers: [88]
88,59 unequal: No Solution
Exploring Operation: 46-42=4, Resulting Numbers: [4]
4,59 unequal: No Solution
Exploring Operation: 46*42=1932, Resulting Numbers: [1932]
1932,59 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: 59:[46, 100], Operations: ['32-3=29', '71+29=100']
Exploring Operation: 100-46=54, Resulting Numbers: [54]
54,59 unequal: No Solution
Exploring Operation: 46+100=146, Resulting Numbers: [146]
146,59 unequal: No Solution
Exploring Operation: 46*100=4600, Resulting Numbers: [4600]
4600,59 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: 59:[71, 17], Operations: ['32-3=29', '46-29=17']
Exploring Operation: 71+17=88, Resulting Numbers: [88]
88,59 unequal: No Solution
Exploring Operation: 71*17=1207, Resulting Numbers: [1207]
1207,59 unequal: No Solution
Exploring Operation: 71-17=54, Resulting Numbers: [54]
54,59 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 | sum_heuristic |
[
38,
21,
44,
97
] | 36 | [
"38-21=17",
"97-44=53",
"53-17=36"
] | Current State: 36:[38, 21, 44, 97], Operations: []
Exploring Operation: 38-21=17, Resulting Numbers: [44, 97, 17]
Generated Node #2: [44, 97, 17] from Operation: 38-21=17
Current State: 36:[44, 97, 17], Operations: ['38-21=17']
Exploring Operation: 97-44=53, Resulting Numbers: [17, 53]
Generated Node #3: [17, 53] from Operation: 97-44=53
Current State: 36:[17, 53], Operations: ['38-21=17', '97-44=53']
Exploring Operation: 53-17=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[38, 21, 44, 97], Operations: []
Exploring Operation: 97-44=53, Resulting Numbers: [38, 21, 53]
Generated Node #0,0: 36:[38, 21, 53] Operation: 97-44=53
Moving to Node #0,0
Current State: 36:[38, 21, 53], Operations: ['97-44=53']
Exploring Operation: 53-38=15, Resulting Numbers: [21, 15]
Generated Node #0,0,0: 36:[21, 15] Operation: 53-38=15
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 36:[21, 15], Operations: ['97-44=53', '53-38=15']
Exploring Operation: 21+15=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Moving to Node #0
Current State: 36:[38, 21, 44, 97], Operations: []
Exploring Operation: 97-44=53, Resulting Numbers: [38, 21, 53]
Generated Node #0,0: 36:[38, 21, 53] Operation: 97-44=53
Moving to Node #0,0
Current State: 36:[38, 21, 53], Operations: ['97-44=53']
Exploring Operation: 53-38=15, Resulting Numbers: [21, 15]
Generated Node #0,0,0: 36:[21, 15] Operation: 53-38=15
Moving to Node #0,0,0
Current State: 36:[21, 15], Operations: ['97-44=53', '53-38=15']
Exploring Operation: 21+15=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
27,
15,
54,
5
] | 84 | [
"27+54=81",
"15/5=3",
"81+3=84"
] | Current State: 84:[27, 15, 54, 5], Operations: []
Exploring Operation: 27+54=81, Resulting Numbers: [15, 5, 81]
Generated Node #2: [15, 5, 81] from Operation: 27+54=81
Current State: 84:[15, 5, 81], Operations: ['27+54=81']
Exploring Operation: 15/5=3, Resulting Numbers: [81, 3]
Generated Node #3: [81, 3] from Operation: 15/5=3
Current State: 84:[81, 3], Operations: ['27+54=81', '15/5=3']
Exploring Operation: 81+3=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[27, 15, 54, 5], Operations: []
Exploring Operation: 54/27=2, Resulting Numbers: [15, 5, 2]
Generated Node #0,0: 84:[15, 5, 2] Operation: 54/27=2
Exploring Operation: 27+54=81, Resulting Numbers: [15, 5, 81]
Generated Node #0,1: 84:[15, 5, 81] Operation: 27+54=81
Exploring Operation: 54-27=27, Resulting Numbers: [15, 5, 27]
Generated Node #0,2: 84:[15, 5, 27] Operation: 54-27=27
Start Sub Search at level 1: Moving to Node #0,0
Current State: 84:[15, 5, 2], Operations: ['54/27=2']
Exploring Operation: 15/5=3, Resulting Numbers: [2, 3]
Generated Node #0,0,0: 84:[2, 3] Operation: 15/5=3
Exploring Operation: 15+5=20, Resulting Numbers: [2, 20]
Generated Node #0,0,1: 84:[2, 20] Operation: 15+5=20
Exploring Operation: 5+2=7, Resulting Numbers: [15, 7]
Generated Node #0,0,2: 84:[15, 7] Operation: 5+2=7
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 84:[2, 3], Operations: ['54/27=2', '15/5=3']
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,84 unequal: No Solution
Exploring Operation: 2*3=6, Resulting Numbers: [6]
6,84 unequal: No Solution
Exploring Operation: 2+3=5, Resulting Numbers: [5]
5,84 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: 84:[2, 20], Operations: ['54/27=2', '15+5=20']
Exploring Operation: 20/2=10, Resulting Numbers: [10]
10,84 unequal: No Solution
Exploring Operation: 2*20=40, Resulting Numbers: [40]
40,84 unequal: No Solution
Exploring Operation: 2+20=22, Resulting Numbers: [22]
22,84 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: 84:[15, 7], Operations: ['54/27=2', '5+2=7']
Exploring Operation: 15*7=105, Resulting Numbers: [105]
105,84 unequal: No Solution
Exploring Operation: 15-7=8, Resulting Numbers: [8]
8,84 unequal: No Solution
Exploring Operation: 15+7=22, Resulting Numbers: [22]
22,84 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: 84:[15, 5, 27], Operations: ['54-27=27']
Exploring Operation: 15/5=3, Resulting Numbers: [27, 3]
Generated Node #0,2,0: 84:[27, 3] Operation: 15/5=3
Exploring Operation: 15+27=42, Resulting Numbers: [5, 42]
Generated Node #0,2,1: 84:[5, 42] Operation: 15+27=42
Exploring Operation: 27-15=12, Resulting Numbers: [5, 12]
Generated Node #0,2,2: 84:[5, 12] Operation: 27-15=12
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 84:[27, 3], Operations: ['54-27=27', '15/5=3']
Exploring Operation: 27/3=9, Resulting Numbers: [9]
9,84 unequal: No Solution
Exploring Operation: 27+3=30, Resulting Numbers: [30]
30,84 unequal: No Solution
Exploring Operation: 27*3=81, Resulting Numbers: [81]
81,84 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: 84:[5, 42], Operations: ['54-27=27', '15+27=42']
Exploring Operation: 42-5=37, Resulting Numbers: [37]
37,84 unequal: No Solution
Exploring Operation: 5+42=47, Resulting Numbers: [47]
47,84 unequal: No Solution
Exploring Operation: 5*42=210, Resulting Numbers: [210]
210,84 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: 84:[5, 12], Operations: ['54-27=27', '27-15=12']
Exploring Operation: 5*12=60, Resulting Numbers: [60]
60,84 unequal: No Solution
Exploring Operation: 12-5=7, Resulting Numbers: [7]
7,84 unequal: No Solution
Exploring Operation: 5+12=17, Resulting Numbers: [17]
17,84 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: 84:[15, 5, 81], Operations: ['27+54=81']
Exploring Operation: 15+5=20, Resulting Numbers: [81, 20]
Generated Node #0,1,0: 84:[81, 20] Operation: 15+5=20
Exploring Operation: 5+81=86, Resulting Numbers: [15, 86]
Generated Node #0,1,1: 84:[15, 86] Operation: 5+81=86
Exploring Operation: 15/5=3, Resulting Numbers: [81, 3]
Generated Node #0,1,2: 84:[81, 3] Operation: 15/5=3
Moving to Node #0,1,1
Current State: 84:[15, 86], Operations: ['27+54=81', '5+81=86']
Exploring Operation: 15*86=1290, Resulting Numbers: [1290]
1290,84 unequal: No Solution
Exploring Operation: 15+86=101, Resulting Numbers: [101]
101,84 unequal: No Solution
Exploring Operation: 86-15=71, Resulting Numbers: [71]
71,84 unequal: No Solution
Moving to Node #0,1,2
Current State: 84:[81, 3], Operations: ['27+54=81', '15/5=3']
Exploring Operation: 81/3=27, Resulting Numbers: [27]
27,84 unequal: No Solution
Exploring Operation: 81-3=78, Resulting Numbers: [78]
78,84 unequal: No Solution
Exploring Operation: 81+3=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[27, 15, 54, 5], Operations: []
Exploring Operation: 27+54=81, Resulting Numbers: [15, 5, 81]
Generated Node #0,1: 84:[15, 5, 81] Operation: 27+54=81
Moving to Node #0,1
Current State: 84:[15, 5, 81], Operations: ['27+54=81']
Exploring Operation: 15/5=3, Resulting Numbers: [81, 3]
Generated Node #0,1,2: 84:[81, 3] Operation: 15/5=3
Moving to Node #0,1,2
Current State: 84:[81, 3], Operations: ['27+54=81', '15/5=3']
Exploring Operation: 81+3=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Exit Sub Search at level 1
| 0.965278 | hs_3 | sum_heuristic |
[
50,
2,
33,
20
] | 39 | [
"50+2=52",
"33-20=13",
"52-13=39"
] | Current State: 39:[50, 2, 33, 20], Operations: []
Exploring Operation: 50+2=52, Resulting Numbers: [33, 20, 52]
Generated Node #2: [33, 20, 52] from Operation: 50+2=52
Current State: 39:[33, 20, 52], Operations: ['50+2=52']
Exploring Operation: 33-20=13, Resulting Numbers: [52, 13]
Generated Node #3: [52, 13] from Operation: 33-20=13
Current State: 39:[52, 13], Operations: ['50+2=52', '33-20=13']
Exploring Operation: 52-13=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[50, 2, 33, 20], Operations: []
Exploring Operation: 50-33=17, Resulting Numbers: [2, 20, 17]
Generated Node #0,0: 39:[2, 20, 17] Operation: 50-33=17
Exploring Operation: 33-20=13, Resulting Numbers: [50, 2, 13]
Generated Node #0,1: 39:[50, 2, 13] Operation: 33-20=13
Moving to Node #0,0
Current State: 39:[2, 20, 17], Operations: ['50-33=17']
Exploring Operation: 20+17=37, Resulting Numbers: [2, 37]
Generated Node #0,0,0: 39:[2, 37] Operation: 20+17=37
Exploring Operation: 20-17=3, Resulting Numbers: [2, 3]
Generated Node #0,0,1: 39:[2, 3] Operation: 20-17=3
Moving to Node #0,1
Current State: 39:[50, 2, 13], Operations: ['33-20=13']
Exploring Operation: 50-2=48, Resulting Numbers: [13, 48]
Generated Node #0,1,0: 39:[13, 48] Operation: 50-2=48
Exploring Operation: 50-13=37, Resulting Numbers: [2, 37]
Generated Node #0,1,1: 39:[2, 37] Operation: 50-13=37
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 39:[2, 37], Operations: ['33-20=13', '50-13=37']
Exploring Operation: 2+37=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Moving to Node #0
Current State: 39:[50, 2, 33, 20], Operations: []
Exploring Operation: 33-20=13, Resulting Numbers: [50, 2, 13]
Generated Node #0,1: 39:[50, 2, 13] Operation: 33-20=13
Moving to Node #0,1
Current State: 39:[50, 2, 13], Operations: ['33-20=13']
Exploring Operation: 50-13=37, Resulting Numbers: [2, 37]
Generated Node #0,1,1: 39:[2, 37] Operation: 50-13=37
Moving to Node #0,1,1
Current State: 39:[2, 37], Operations: ['33-20=13', '50-13=37']
Exploring Operation: 2+37=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_2 | mult_heuristic |
[
52,
14,
11,
48
] | 36 | [
"14-11=3",
"48/3=16",
"52-16=36"
] | Current State: 36:[52, 14, 11, 48], Operations: []
Exploring Operation: 14-11=3, Resulting Numbers: [52, 48, 3]
Generated Node #2: [52, 48, 3] from Operation: 14-11=3
Current State: 36:[52, 48, 3], Operations: ['14-11=3']
Exploring Operation: 48/3=16, Resulting Numbers: [52, 16]
Generated Node #3: [52, 16] from Operation: 48/3=16
Current State: 36:[52, 16], Operations: ['14-11=3', '48/3=16']
Exploring Operation: 52-16=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[52, 14, 11, 48], Operations: []
Exploring Operation: 48-14=34, Resulting Numbers: [52, 11, 34]
Generated Node #0,0: 36:[52, 11, 34] Operation: 48-14=34
Exploring Operation: 52-11=41, Resulting Numbers: [14, 48, 41]
Generated Node #0,1: 36:[14, 48, 41] Operation: 52-11=41
Exploring Operation: 52-14=38, Resulting Numbers: [11, 48, 38]
Generated Node #0,2: 36:[11, 48, 38] Operation: 52-14=38
Exploring Operation: 52-48=4, Resulting Numbers: [14, 11, 4]
Generated Node #0,3: 36:[14, 11, 4] Operation: 52-48=4
Start Sub Search at level 1: Moving to Node #0,3
Current State: 36:[14, 11, 4], Operations: ['52-48=4']
Exploring Operation: 14-4=10, Resulting Numbers: [11, 10]
Generated Node #0,3,0: 36:[11, 10] Operation: 14-4=10
Exploring Operation: 14+4=18, Resulting Numbers: [11, 18]
Generated Node #0,3,1: 36:[11, 18] Operation: 14+4=18
Exploring Operation: 14-11=3, Resulting Numbers: [4, 3]
Generated Node #0,3,2: 36:[4, 3] Operation: 14-11=3
Exploring Operation: 11-4=7, Resulting Numbers: [14, 7]
Generated Node #0,3,3: 36:[14, 7] Operation: 11-4=7
Moving to Node #0,3,2
Current State: 36:[4, 3], Operations: ['52-48=4', '14-11=3']
Exploring Operation: 4+3=7, Resulting Numbers: [7]
7,36 unequal: No Solution
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,36 unequal: No Solution
Exploring Operation: 4*3=12, Resulting Numbers: [12]
12,36 unequal: No Solution
Moving to Node #0,3,1
Current State: 36:[11, 18], Operations: ['52-48=4', '14+4=18']
Exploring Operation: 18-11=7, Resulting Numbers: [7]
7,36 unequal: No Solution
Exploring Operation: 11*18=198, Resulting Numbers: [198]
198,36 unequal: No Solution
Exploring Operation: 11+18=29, Resulting Numbers: [29]
29,36 unequal: No Solution
Moving to Node #0,3,0
Current State: 36:[11, 10], Operations: ['52-48=4', '14-4=10']
Exploring Operation: 11*10=110, Resulting Numbers: [110]
110,36 unequal: No Solution
Exploring Operation: 11-10=1, Resulting Numbers: [1]
1,36 unequal: No Solution
Exploring Operation: 11+10=21, Resulting Numbers: [21]
21,36 unequal: No Solution
Moving to Node #0,3,3
Current State: 36:[14, 7], Operations: ['52-48=4', '11-4=7']
Exploring Operation: 14*7=98, Resulting Numbers: [98]
98,36 unequal: No Solution
Exploring Operation: 14-7=7, Resulting Numbers: [7]
7,36 unequal: No Solution
Exploring Operation: 14+7=21, Resulting Numbers: [21]
21,36 unequal: No Solution
Exploring Operation: 14/7=2, Resulting Numbers: [2]
2,36 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: 36:[11, 48, 38], Operations: ['52-14=38']
Exploring Operation: 38-11=27, Resulting Numbers: [48, 27]
Generated Node #0,2,0: 36:[48, 27] Operation: 38-11=27
Exploring Operation: 48-11=37, Resulting Numbers: [38, 37]
Generated Node #0,2,1: 36:[38, 37] Operation: 48-11=37
Exploring Operation: 11+48=59, Resulting Numbers: [38, 59]
Generated Node #0,2,2: 36:[38, 59] Operation: 11+48=59
Exploring Operation: 48-38=10, Resulting Numbers: [11, 10]
Generated Node #0,2,3: 36:[11, 10] Operation: 48-38=10
Moving to Node #0,2,3
Current State: 36:[11, 10], Operations: ['52-14=38', '48-38=10']
Exploring Operation: 11*10=110, Resulting Numbers: [110]
110,36 unequal: No Solution
Exploring Operation: 11-10=1, Resulting Numbers: [1]
1,36 unequal: No Solution
Exploring Operation: 11+10=21, Resulting Numbers: [21]
21,36 unequal: No Solution
Moving to Node #0,2,1
Current State: 36:[38, 37], Operations: ['52-14=38', '48-11=37']
Exploring Operation: 38+37=75, Resulting Numbers: [75]
75,36 unequal: No Solution
Exploring Operation: 38-37=1, Resulting Numbers: [1]
1,36 unequal: No Solution
Exploring Operation: 38*37=1406, Resulting Numbers: [1406]
1406,36 unequal: No Solution
Moving to Node #0,2,0
Current State: 36:[48, 27], Operations: ['52-14=38', '38-11=27']
Exploring Operation: 48*27=1296, Resulting Numbers: [1296]
1296,36 unequal: No Solution
Exploring Operation: 48+27=75, Resulting Numbers: [75]
75,36 unequal: No Solution
Exploring Operation: 48-27=21, Resulting Numbers: [21]
21,36 unequal: No Solution
Moving to Node #0,2,2
Current State: 36:[38, 59], Operations: ['52-14=38', '11+48=59']
Exploring Operation: 38+59=97, Resulting Numbers: [97]
97,36 unequal: No Solution
Exploring Operation: 59-38=21, Resulting Numbers: [21]
21,36 unequal: No Solution
Exploring Operation: 38*59=2242, Resulting Numbers: [2242]
2242,36 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: 36:[52, 11, 34], Operations: ['48-14=34']
Exploring Operation: 52-34=18, Resulting Numbers: [11, 18]
Generated Node #0,0,0: 36:[11, 18] Operation: 52-34=18
Exploring Operation: 11+34=45, Resulting Numbers: [52, 45]
Generated Node #0,0,1: 36:[52, 45] Operation: 11+34=45
Exploring Operation: 52-11=41, Resulting Numbers: [34, 41]
Generated Node #0,0,2: 36:[34, 41] Operation: 52-11=41
Exploring Operation: 34-11=23, Resulting Numbers: [52, 23]
Generated Node #0,0,3: 36:[52, 23] Operation: 34-11=23
Moving to Node #0,0,0
Current State: 36:[11, 18], Operations: ['48-14=34', '52-34=18']
Exploring Operation: 18-11=7, Resulting Numbers: [7]
7,36 unequal: No Solution
Exploring Operation: 11*18=198, Resulting Numbers: [198]
198,36 unequal: No Solution
Exploring Operation: 11+18=29, Resulting Numbers: [29]
29,36 unequal: No Solution
Moving to Node #0,0,2
Current State: 36:[34, 41], Operations: ['48-14=34', '52-11=41']
Exploring Operation: 41-34=7, Resulting Numbers: [7]
7,36 unequal: No Solution
Exploring Operation: 34+41=75, Resulting Numbers: [75]
75,36 unequal: No Solution
Exploring Operation: 34*41=1394, Resulting Numbers: [1394]
1394,36 unequal: No Solution
Moving to Node #0,0,3
Current State: 36:[52, 23], Operations: ['48-14=34', '34-11=23']
Exploring Operation: 52+23=75, Resulting Numbers: [75]
75,36 unequal: No Solution
Exploring Operation: 52*23=1196, Resulting Numbers: [1196]
1196,36 unequal: No Solution
Exploring Operation: 52-23=29, Resulting Numbers: [29]
29,36 unequal: No Solution
Moving to Node #0,0,1
Current State: 36:[52, 45], Operations: ['48-14=34', '11+34=45']
Exploring Operation: 52*45=2340, Resulting Numbers: [2340]
2340,36 unequal: No Solution
Exploring Operation: 52+45=97, Resulting Numbers: [97]
97,36 unequal: No Solution
Exploring Operation: 52-45=7, Resulting Numbers: [7]
7,36 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: 36:[14, 48, 41], Operations: ['52-11=41']
Exploring Operation: 41-14=27, Resulting Numbers: [48, 27]
Generated Node #0,1,0: 36:[48, 27] Operation: 41-14=27
Exploring Operation: 14+48=62, Resulting Numbers: [41, 62]
Generated Node #0,1,1: 36:[41, 62] Operation: 14+48=62
Exploring Operation: 48-14=34, Resulting Numbers: [41, 34]
Generated Node #0,1,2: 36:[41, 34] Operation: 48-14=34
Exploring Operation: 48-41=7, Resulting Numbers: [14, 7]
Generated Node #0,1,3: 36:[14, 7] Operation: 48-41=7
Moving to Node #0,1,3
Current State: 36:[14, 7], Operations: ['52-11=41', '48-41=7']
Exploring Operation: 14+7=21, Resulting Numbers: [21]
21,36 unequal: No Solution
Exploring Operation: 14/7=2, Resulting Numbers: [2]
2,36 unequal: No Solution
Exploring Operation: 14*7=98, Resulting Numbers: [98]
98,36 unequal: No Solution
Exploring Operation: 14-7=7, Resulting Numbers: [7]
7,36 unequal: No Solution
Moving to Node #0,1,2
Current State: 36:[41, 34], Operations: ['52-11=41', '48-14=34']
Exploring Operation: 41+34=75, Resulting Numbers: [75]
75,36 unequal: No Solution
Exploring Operation: 41*34=1394, Resulting Numbers: [1394]
1394,36 unequal: No Solution
Exploring Operation: 41-34=7, Resulting Numbers: [7]
7,36 unequal: No Solution
Moving to Node #0,1,0
Current State: 36:[48, 27], Operations: ['52-11=41', '41-14=27']
Exploring Operation: 48*27=1296, Resulting Numbers: [1296]
1296,36 unequal: No Solution
Exploring Operation: 48-27=21, Resulting Numbers: [21]
21,36 unequal: No Solution
Exploring Operation: 48+27=75, Resulting Numbers: [75]
75,36 unequal: No Solution
Moving to Node #0,1,1
Current State: 36:[41, 62], Operations: ['52-11=41', '14+48=62']
Exploring Operation: 62-41=21, Resulting Numbers: [21]
21,36 unequal: No Solution
Exploring Operation: 41+62=103, Resulting Numbers: [103]
103,36 unequal: No Solution
Exploring Operation: 41*62=2542, Resulting Numbers: [2542]
2542,36 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 |
[
33,
45,
43,
18
] | 81 | [
"43-33=10",
"45*18=810",
"810/10=81"
] | Current State: 81:[33, 45, 43, 18], Operations: []
Exploring Operation: 43-33=10, Resulting Numbers: [45, 18, 10]
Generated Node #2: [45, 18, 10] from Operation: 43-33=10
Current State: 81:[45, 18, 10], Operations: ['43-33=10']
Exploring Operation: 45*18=810, Resulting Numbers: [10, 810]
Generated Node #3: [10, 810] from Operation: 45*18=810
Current State: 81:[10, 810], Operations: ['43-33=10', '45*18=810']
Exploring Operation: 810/10=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[33, 45, 43, 18], Operations: []
Exploring Operation: 45+43=88, Resulting Numbers: [33, 18, 88]
Generated Node #0,0: 81:[33, 18, 88] Operation: 45+43=88
Exploring Operation: 45-18=27, Resulting Numbers: [33, 43, 27]
Generated Node #0,1: 81:[33, 43, 27] Operation: 45-18=27
Exploring Operation: 45-43=2, Resulting Numbers: [33, 18, 2]
Generated Node #0,2: 81:[33, 18, 2] Operation: 45-43=2
Moving to Node #0,2
Current State: 81:[33, 18, 2], Operations: ['45-43=2']
Exploring Operation: 18/2=9, Resulting Numbers: [33, 9]
Generated Node #0,2,0: 81:[33, 9] Operation: 18/2=9
Exploring Operation: 33-2=31, Resulting Numbers: [18, 31]
Generated Node #0,2,1: 81:[18, 31] Operation: 33-2=31
Exploring Operation: 33-18=15, Resulting Numbers: [2, 15]
Generated Node #0,2,2: 81:[2, 15] Operation: 33-18=15
Moving to Node #0,0
Current State: 81:[33, 18, 88], Operations: ['45+43=88']
Exploring Operation: 33-18=15, Resulting Numbers: [88, 15]
Generated Node #0,0,0: 81:[88, 15] Operation: 33-18=15
Exploring Operation: 88-18=70, Resulting Numbers: [33, 70]
Generated Node #0,0,1: 81:[33, 70] Operation: 88-18=70
Exploring Operation: 33+18=51, Resulting Numbers: [88, 51]
Generated Node #0,0,2: 81:[88, 51] Operation: 33+18=51
Moving to Node #0,1
Current State: 81:[33, 43, 27], Operations: ['45-18=27']
Exploring Operation: 33+43=76, Resulting Numbers: [27, 76]
Generated Node #0,1,0: 81:[27, 76] Operation: 33+43=76
Exploring Operation: 43-33=10, Resulting Numbers: [27, 10]
Generated Node #0,1,1: 81:[27, 10] Operation: 43-33=10
Exploring Operation: 43-27=16, Resulting Numbers: [33, 16]
Generated Node #0,1,2: 81:[33, 16] Operation: 43-27=16
Moving to Node #0,1,1
Current State: 81:[27, 10], Operations: ['45-18=27', '43-33=10']
Exploring Operation: 27+10=37, Resulting Numbers: [37]
37,81 unequal: No Solution
Exploring Operation: 27-10=17, Resulting Numbers: [17]
17,81 unequal: No Solution
Exploring Operation: 27*10=270, Resulting Numbers: [270]
270,81 unequal: No Solution
Moving to Node #0,1,0
Current State: 81:[27, 76], Operations: ['45-18=27', '33+43=76']
Exploring Operation: 27*76=2052, Resulting Numbers: [2052]
2052,81 unequal: No Solution
Exploring Operation: 27+76=103, Resulting Numbers: [103]
103,81 unequal: No Solution
Exploring Operation: 76-27=49, Resulting Numbers: [49]
49,81 unequal: No Solution
Moving to Node #0,2,0
Current State: 81:[33, 9], Operations: ['45-43=2', '18/2=9']
Exploring Operation: 33+9=42, Resulting Numbers: [42]
42,81 unequal: No Solution
Exploring Operation: 33-9=24, Resulting Numbers: [24]
24,81 unequal: No Solution
Exploring Operation: 33*9=297, Resulting Numbers: [297]
297,81 unequal: No Solution
Moving to Node #0,2,2
Current State: 81:[2, 15], Operations: ['45-43=2', '33-18=15']
Exploring Operation: 15-2=13, Resulting Numbers: [13]
13,81 unequal: No Solution
Exploring Operation: 2+15=17, Resulting Numbers: [17]
17,81 unequal: No Solution
Exploring Operation: 2*15=30, Resulting Numbers: [30]
30,81 unequal: No Solution
Moving to Node #0,2,1
Current State: 81:[18, 31], Operations: ['45-43=2', '33-2=31']
Exploring Operation: 18+31=49, Resulting Numbers: [49]
49,81 unequal: No Solution
Exploring Operation: 31-18=13, Resulting Numbers: [13]
13,81 unequal: No Solution
Exploring Operation: 18*31=558, Resulting Numbers: [558]
558,81 unequal: No Solution
Moving to Node #0,0,0
Current State: 81:[88, 15], Operations: ['45+43=88', '33-18=15']
Exploring Operation: 88+15=103, Resulting Numbers: [103]
103,81 unequal: No Solution
Exploring Operation: 88*15=1320, Resulting Numbers: [1320]
1320,81 unequal: No Solution
Exploring Operation: 88-15=73, Resulting Numbers: [73]
73,81 unequal: No Solution
Moving to Node #0,1,2
Current State: 81:[33, 16], Operations: ['45-18=27', '43-27=16']
Exploring Operation: 33*16=528, Resulting Numbers: [528]
528,81 unequal: No Solution
Exploring Operation: 33-16=17, Resulting Numbers: [17]
17,81 unequal: No Solution
Exploring Operation: 33+16=49, Resulting Numbers: [49]
49,81 unequal: No Solution
Moving to Node #0,0,1
Current State: 81:[33, 70], Operations: ['45+43=88', '88-18=70']
Exploring Operation: 70-33=37, Resulting Numbers: [37]
37,81 unequal: No Solution
Exploring Operation: 33*70=2310, Resulting Numbers: [2310]
2310,81 unequal: No Solution
Exploring Operation: 33+70=103, Resulting Numbers: [103]
103,81 unequal: No Solution
Moving to Node #0,0,2
Current State: 81:[88, 51], Operations: ['45+43=88', '33+18=51']
Exploring Operation: 88*51=4488, Resulting Numbers: [4488]
4488,81 unequal: No Solution
Exploring Operation: 88-51=37, Resulting Numbers: [37]
37,81 unequal: No Solution
Exploring Operation: 88+51=139, Resulting Numbers: [139]
139,81 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
26,
12,
4,
63
] | 97 | [
"26+12=38",
"63-4=59",
"38+59=97"
] | Current State: 97:[26, 12, 4, 63], Operations: []
Exploring Operation: 26+12=38, Resulting Numbers: [4, 63, 38]
Generated Node #2: [4, 63, 38] from Operation: 26+12=38
Current State: 97:[4, 63, 38], Operations: ['26+12=38']
Exploring Operation: 63-4=59, Resulting Numbers: [38, 59]
Generated Node #3: [38, 59] from Operation: 63-4=59
Current State: 97:[38, 59], Operations: ['26+12=38', '63-4=59']
Exploring Operation: 38+59=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[26, 12, 4, 63], Operations: []
Exploring Operation: 26*4=104, Resulting Numbers: [12, 63, 104]
Generated Node #0,0: 97:[12, 63, 104] Operation: 26*4=104
Exploring Operation: 12*4=48, Resulting Numbers: [26, 63, 48]
Generated Node #0,1: 97:[26, 63, 48] Operation: 12*4=48
Exploring Operation: 26+12=38, Resulting Numbers: [4, 63, 38]
Generated Node #0,2: 97:[4, 63, 38] Operation: 26+12=38
Moving to Node #0,0
Current State: 97:[12, 63, 104], Operations: ['26*4=104']
Exploring Operation: 12+63=75, Resulting Numbers: [104, 75]
Generated Node #0,0,0: 97:[104, 75] Operation: 12+63=75
Exploring Operation: 63-12=51, Resulting Numbers: [104, 51]
Generated Node #0,0,1: 97:[104, 51] Operation: 63-12=51
Exploring Operation: 104-12=92, Resulting Numbers: [63, 92]
Generated Node #0,0,2: 97:[63, 92] Operation: 104-12=92
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 97:[104, 75], Operations: ['26*4=104', '12+63=75']
Exploring Operation: 104+75=179, Resulting Numbers: [179]
179,97 unequal: No Solution
Exploring Operation: 104*75=7800, Resulting Numbers: [7800]
7800,97 unequal: No Solution
Exploring Operation: 104-75=29, Resulting Numbers: [29]
29,97 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 #0,0,2
Current State: 97:[63, 92], Operations: ['26*4=104', '104-12=92']
Exploring Operation: 63+92=155, Resulting Numbers: [155]
155,97 unequal: No Solution
Exploring Operation: 63*92=5796, Resulting Numbers: [5796]
5796,97 unequal: No Solution
Exploring Operation: 92-63=29, Resulting Numbers: [29]
29,97 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 #0,0,1
Current State: 97:[104, 51], Operations: ['26*4=104', '63-12=51']
Exploring Operation: 104+51=155, Resulting Numbers: [155]
155,97 unequal: No Solution
Exploring Operation: 104-51=53, Resulting Numbers: [53]
53,97 unequal: No Solution
Exploring Operation: 104*51=5304, Resulting Numbers: [5304]
5304,97 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: 97:[26, 63, 48], Operations: ['12*4=48']
Exploring Operation: 26+48=74, Resulting Numbers: [63, 74]
Generated Node #0,1,0: 97:[63, 74] Operation: 26+48=74
Exploring Operation: 26+63=89, Resulting Numbers: [48, 89]
Generated Node #0,1,1: 97:[48, 89] Operation: 26+63=89
Exploring Operation: 63+48=111, Resulting Numbers: [26, 111]
Generated Node #0,1,2: 97:[26, 111] Operation: 63+48=111
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 97:[63, 74], Operations: ['12*4=48', '26+48=74']
Exploring Operation: 63+74=137, Resulting Numbers: [137]
137,97 unequal: No Solution
Exploring Operation: 63*74=4662, Resulting Numbers: [4662]
4662,97 unequal: No Solution
Exploring Operation: 74-63=11, Resulting Numbers: [11]
11,97 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:[48, 89], Operations: ['12*4=48', '26+63=89']
Exploring Operation: 48+89=137, Resulting Numbers: [137]
137,97 unequal: No Solution
Exploring Operation: 48*89=4272, Resulting Numbers: [4272]
4272,97 unequal: No Solution
Exploring Operation: 89-48=41, Resulting Numbers: [41]
41,97 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 #0,1,2
Current State: 97:[26, 111], Operations: ['12*4=48', '63+48=111']
Exploring Operation: 26*111=2886, Resulting Numbers: [2886]
2886,97 unequal: No Solution
Exploring Operation: 26+111=137, Resulting Numbers: [137]
137,97 unequal: No Solution
Exploring Operation: 111-26=85, Resulting Numbers: [85]
85,97 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: 97:[4, 63, 38], Operations: ['26+12=38']
Exploring Operation: 4+38=42, Resulting Numbers: [63, 42]
Generated Node #0,2,0: 97:[63, 42] Operation: 4+38=42
Exploring Operation: 4*38=152, Resulting Numbers: [63, 152]
Generated Node #0,2,1: 97:[63, 152] Operation: 4*38=152
Exploring Operation: 4+63=67, Resulting Numbers: [38, 67]
Generated Node #0,2,2: 97:[38, 67] Operation: 4+63=67
Moving to Node #0,2,0
Current State: 97:[63, 42], Operations: ['26+12=38', '4+38=42']
Exploring Operation: 63-42=21, Resulting Numbers: [21]
21,97 unequal: No Solution
Exploring Operation: 63*42=2646, Resulting Numbers: [2646]
2646,97 unequal: No Solution
Exploring Operation: 63+42=105, Resulting Numbers: [105]
105,97 unequal: No Solution
Moving to Node #0,2,1
Current State: 97:[63, 152], Operations: ['26+12=38', '4*38=152']
Exploring Operation: 152-63=89, Resulting Numbers: [89]
89,97 unequal: No Solution
Exploring Operation: 63*152=9576, Resulting Numbers: [9576]
9576,97 unequal: No Solution
Exploring Operation: 63+152=215, Resulting Numbers: [215]
215,97 unequal: No Solution
Moving to Node #0,2,2
Current State: 97:[38, 67], Operations: ['26+12=38', '4+63=67']
Exploring Operation: 38*67=2546, Resulting Numbers: [2546]
2546,97 unequal: No Solution
Exploring Operation: 38+67=105, Resulting Numbers: [105]
105,97 unequal: No Solution
Exploring Operation: 67-38=29, Resulting Numbers: [29]
29,97 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
34,
84,
10,
60
] | 11 | [
"84-34=50",
"60+50=110",
"110/10=11"
] | Current State: 11:[34, 84, 10, 60], Operations: []
Exploring Operation: 84-34=50, Resulting Numbers: [10, 60, 50]
Generated Node #2: [10, 60, 50] from Operation: 84-34=50
Current State: 11:[10, 60, 50], Operations: ['84-34=50']
Exploring Operation: 60+50=110, Resulting Numbers: [10, 110]
Generated Node #3: [10, 110] from Operation: 60+50=110
Current State: 11:[10, 110], Operations: ['84-34=50', '60+50=110']
Exploring Operation: 110/10=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[34, 84, 10, 60], Operations: []
Exploring Operation: 34-10=24, Resulting Numbers: [84, 60, 24]
Generated Node #0,0: 11:[84, 60, 24] Operation: 34-10=24
Exploring Operation: 60/10=6, Resulting Numbers: [34, 84, 6]
Generated Node #0,1: 11:[34, 84, 6] Operation: 60/10=6
Exploring Operation: 84-60=24, Resulting Numbers: [34, 10, 24]
Generated Node #0,2: 11:[34, 10, 24] Operation: 84-60=24
Exploring Operation: 60-34=26, Resulting Numbers: [84, 10, 26]
Generated Node #0,3: 11:[84, 10, 26] Operation: 60-34=26
Exploring Operation: 84-34=50, Resulting Numbers: [10, 60, 50]
Generated Node #0,4: 11:[10, 60, 50] Operation: 84-34=50
Moving to Node #0,2
Current State: 11:[34, 10, 24], Operations: ['84-60=24']
Exploring Operation: 34-24=10, Resulting Numbers: [10, 10]
Generated Node #0,2,0: 11:[10, 10] Operation: 34-24=10
Exploring Operation: 34+10=44, Resulting Numbers: [24, 44]
Generated Node #0,2,1: 11:[24, 44] Operation: 34+10=44
Exploring Operation: 24-10=14, Resulting Numbers: [34, 14]
Generated Node #0,2,2: 11:[34, 14] Operation: 24-10=14
Exploring Operation: 34-10=24, Resulting Numbers: [24, 24]
Generated Node #0,2,3: 11:[24, 24] Operation: 34-10=24
Exploring Operation: 10+24=34, Resulting Numbers: [34, 34]
Generated Node #0,2,4: 11:[34, 34] Operation: 10+24=34
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 11:[10, 10], Operations: ['84-60=24', '34-24=10']
Exploring Operation: 10-10=0, Resulting Numbers: [0]
0,11 unequal: No Solution
Exploring Operation: 10+10=20, Resulting Numbers: [20]
20,11 unequal: No Solution
Exploring Operation: 10/10=1, Resulting Numbers: [1]
1,11 unequal: No Solution
Exploring Operation: 10*10=100, Resulting Numbers: [100]
100,11 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: 11:[34, 14], Operations: ['84-60=24', '24-10=14']
Exploring Operation: 34-14=20, Resulting Numbers: [20]
20,11 unequal: No Solution
Exploring Operation: 34*14=476, Resulting Numbers: [476]
476,11 unequal: No Solution
Exploring Operation: 34+14=48, Resulting Numbers: [48]
48,11 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: 11:[24, 24], Operations: ['84-60=24', '34-10=24']
Exploring Operation: 24+24=48, Resulting Numbers: [48]
48,11 unequal: No Solution
Exploring Operation: 24-24=0, Resulting Numbers: [0]
0,11 unequal: No Solution
Exploring Operation: 24/24=1, Resulting Numbers: [1]
1,11 unequal: No Solution
Exploring Operation: 24*24=576, Resulting Numbers: [576]
576,11 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: 11:[24, 44], Operations: ['84-60=24', '34+10=44']
Exploring Operation: 24*44=1056, Resulting Numbers: [1056]
1056,11 unequal: No Solution
Exploring Operation: 44-24=20, Resulting Numbers: [20]
20,11 unequal: No Solution
Exploring Operation: 24+44=68, Resulting Numbers: [68]
68,11 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: 11:[34, 34], Operations: ['84-60=24', '10+24=34']
Exploring Operation: 34/34=1, Resulting Numbers: [1]
1,11 unequal: No Solution
Exploring Operation: 34-34=0, Resulting Numbers: [0]
0,11 unequal: No Solution
Exploring Operation: 34+34=68, Resulting Numbers: [68]
68,11 unequal: No Solution
Exploring Operation: 34*34=1156, Resulting Numbers: [1156]
1156,11 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: 11:[10, 60, 50], Operations: ['84-34=50']
Exploring Operation: 60/10=6, Resulting Numbers: [50, 6]
Generated Node #0,4,0: 11:[50, 6] Operation: 60/10=6
Exploring Operation: 60-10=50, Resulting Numbers: [50, 50]
Generated Node #0,4,1: 11:[50, 50] Operation: 60-10=50
Exploring Operation: 60-50=10, Resulting Numbers: [10, 10]
Generated Node #0,4,2: 11:[10, 10] Operation: 60-50=10
Exploring Operation: 50/10=5, Resulting Numbers: [60, 5]
Generated Node #0,4,3: 11:[60, 5] Operation: 50/10=5
Exploring Operation: 50-10=40, Resulting Numbers: [60, 40]
Generated Node #0,4,4: 11:[60, 40] Operation: 50-10=40
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 11:[10, 10], Operations: ['84-34=50', '60-50=10']
Exploring Operation: 10+10=20, Resulting Numbers: [20]
20,11 unequal: No Solution
Exploring Operation: 10-10=0, Resulting Numbers: [0]
0,11 unequal: No Solution
Exploring Operation: 10/10=1, Resulting Numbers: [1]
1,11 unequal: No Solution
Exploring Operation: 10*10=100, Resulting Numbers: [100]
100,11 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: 11:[50, 6], Operations: ['84-34=50', '60/10=6']
Exploring Operation: 50+6=56, Resulting Numbers: [56]
56,11 unequal: No Solution
Exploring Operation: 50-6=44, Resulting Numbers: [44]
44,11 unequal: No Solution
Exploring Operation: 50*6=300, Resulting Numbers: [300]
300,11 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: 11:[60, 5], Operations: ['84-34=50', '50/10=5']
Exploring Operation: 60*5=300, Resulting Numbers: [300]
300,11 unequal: No Solution
Exploring Operation: 60+5=65, Resulting Numbers: [65]
65,11 unequal: No Solution
Exploring Operation: 60/5=12, Resulting Numbers: [12]
12,11 unequal: No Solution
Exploring Operation: 60-5=55, Resulting Numbers: [55]
55,11 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: 11:[50, 50], Operations: ['84-34=50', '60-10=50']
Exploring Operation: 50*50=2500, Resulting Numbers: [2500]
2500,11 unequal: No Solution
Exploring Operation: 50/50=1, Resulting Numbers: [1]
1,11 unequal: No Solution
Exploring Operation: 50-50=0, Resulting Numbers: [0]
0,11 unequal: No Solution
Exploring Operation: 50+50=100, Resulting Numbers: [100]
100,11 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: 11:[60, 40], Operations: ['84-34=50', '50-10=40']
Exploring Operation: 60*40=2400, Resulting Numbers: [2400]
2400,11 unequal: No Solution
Exploring Operation: 60-40=20, Resulting Numbers: [20]
20,11 unequal: No Solution
Exploring Operation: 60+40=100, Resulting Numbers: [100]
100,11 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: 11:[84, 10, 26], Operations: ['60-34=26']
Exploring Operation: 26-10=16, Resulting Numbers: [84, 16]
Generated Node #0,3,0: 11:[84, 16] Operation: 26-10=16
Exploring Operation: 84-26=58, Resulting Numbers: [10, 58]
Generated Node #0,3,1: 11:[10, 58] Operation: 84-26=58
Exploring Operation: 84+10=94, Resulting Numbers: [26, 94]
Generated Node #0,3,2: 11:[26, 94] Operation: 84+10=94
Exploring Operation: 10+26=36, Resulting Numbers: [84, 36]
Generated Node #0,3,3: 11:[84, 36] Operation: 10+26=36
Exploring Operation: 84-10=74, Resulting Numbers: [26, 74]
Generated Node #0,3,4: 11:[26, 74] Operation: 84-10=74
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 11:[10, 58], Operations: ['60-34=26', '84-26=58']
Exploring Operation: 10+58=68, Resulting Numbers: [68]
68,11 unequal: No Solution
Exploring Operation: 58-10=48, Resulting Numbers: [48]
48,11 unequal: No Solution
Exploring Operation: 10*58=580, Resulting Numbers: [580]
580,11 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: 11:[84, 16], Operations: ['60-34=26', '26-10=16']
Exploring Operation: 84-16=68, Resulting Numbers: [68]
68,11 unequal: No Solution
Exploring Operation: 84+16=100, Resulting Numbers: [100]
100,11 unequal: No Solution
Exploring Operation: 84*16=1344, Resulting Numbers: [1344]
1344,11 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: 11:[26, 74], Operations: ['60-34=26', '84-10=74']
Exploring Operation: 74-26=48, Resulting Numbers: [48]
48,11 unequal: No Solution
Exploring Operation: 26*74=1924, Resulting Numbers: [1924]
1924,11 unequal: No Solution
Exploring Operation: 26+74=100, Resulting Numbers: [100]
100,11 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: 11:[26, 94], Operations: ['60-34=26', '84+10=94']
Exploring Operation: 26+94=120, Resulting Numbers: [120]
120,11 unequal: No Solution
Exploring Operation: 94-26=68, Resulting Numbers: [68]
68,11 unequal: No Solution
Exploring Operation: 26*94=2444, Resulting Numbers: [2444]
2444,11 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: 11:[84, 36], Operations: ['60-34=26', '10+26=36']
Exploring Operation: 84+36=120, Resulting Numbers: [120]
120,11 unequal: No Solution
Exploring Operation: 84-36=48, Resulting Numbers: [48]
48,11 unequal: No Solution
Exploring Operation: 84*36=3024, Resulting Numbers: [3024]
3024,11 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: 11:[34, 84, 6], Operations: ['60/10=6']
Exploring Operation: 84/6=14, Resulting Numbers: [34, 14]
Generated Node #0,1,0: 11:[34, 14] Operation: 84/6=14
Exploring Operation: 84-6=78, Resulting Numbers: [34, 78]
Generated Node #0,1,1: 11:[34, 78] Operation: 84-6=78
Exploring Operation: 34+6=40, Resulting Numbers: [84, 40]
Generated Node #0,1,2: 11:[84, 40] Operation: 34+6=40
Exploring Operation: 84-34=50, Resulting Numbers: [6, 50]
Generated Node #0,1,3: 11:[6, 50] Operation: 84-34=50
Exploring Operation: 34-6=28, Resulting Numbers: [84, 28]
Generated Node #0,1,4: 11:[84, 28] Operation: 34-6=28
Moving to Node #0,0
Current State: 11:[84, 60, 24], Operations: ['34-10=24']
Exploring Operation: 84+60=144, Resulting Numbers: [24, 144]
Generated Node #0,0,0: 11:[24, 144] Operation: 84+60=144
Exploring Operation: 60-24=36, Resulting Numbers: [84, 36]
Generated Node #0,0,1: 11:[84, 36] Operation: 60-24=36
Exploring Operation: 84+24=108, Resulting Numbers: [60, 108]
Generated Node #0,0,2: 11:[60, 108] Operation: 84+24=108
Exploring Operation: 84-24=60, Resulting Numbers: [60, 60]
Generated Node #0,0,3: 11:[60, 60] Operation: 84-24=60
Exploring Operation: 84-60=24, Resulting Numbers: [24, 24]
Generated Node #0,0,4: 11:[24, 24] Operation: 84-60=24
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 11:[24, 24], Operations: ['34-10=24', '84-60=24']
Exploring Operation: 24+24=48, Resulting Numbers: [48]
48,11 unequal: No Solution
Exploring Operation: 24*24=576, Resulting Numbers: [576]
576,11 unequal: No Solution
Exploring Operation: 24-24=0, Resulting Numbers: [0]
0,11 unequal: No Solution
Exploring Operation: 24/24=1, Resulting Numbers: [1]
1,11 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: 11:[84, 36], Operations: ['34-10=24', '60-24=36']
Exploring Operation: 84-36=48, Resulting Numbers: [48]
48,11 unequal: No Solution
Exploring Operation: 84+36=120, Resulting Numbers: [120]
120,11 unequal: No Solution
Exploring Operation: 84*36=3024, Resulting Numbers: [3024]
3024,11 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: 11:[60, 60], Operations: ['34-10=24', '84-24=60']
Exploring Operation: 60+60=120, Resulting Numbers: [120]
120,11 unequal: No Solution
Exploring Operation: 60/60=1, Resulting Numbers: [1]
1,11 unequal: No Solution
Exploring Operation: 60-60=0, Resulting Numbers: [0]
0,11 unequal: No Solution
Exploring Operation: 60*60=3600, Resulting Numbers: [3600]
3600,11 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: 11:[24, 144], Operations: ['34-10=24', '84+60=144']
Exploring Operation: 144-24=120, Resulting Numbers: [120]
120,11 unequal: No Solution
Exploring Operation: 144/24=6, Resulting Numbers: [6]
6,11 unequal: No Solution
Exploring Operation: 24+144=168, Resulting Numbers: [168]
168,11 unequal: No Solution
Exploring Operation: 24*144=3456, Resulting Numbers: [3456]
3456,11 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: 11:[60, 108], Operations: ['34-10=24', '84+24=108']
Exploring Operation: 60+108=168, Resulting Numbers: [168]
168,11 unequal: No Solution
Exploring Operation: 60*108=6480, Resulting Numbers: [6480]
6480,11 unequal: No Solution
Exploring Operation: 108-60=48, Resulting Numbers: [48]
48,11 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: 11:[34, 14], Operations: ['60/10=6', '84/6=14']
Exploring Operation: 34+14=48, Resulting Numbers: [48]
48,11 unequal: No Solution
Exploring Operation: 34-14=20, Resulting Numbers: [20]
20,11 unequal: No Solution
Exploring Operation: 34*14=476, Resulting Numbers: [476]
476,11 unequal: No Solution
Moving to Node #0,1,3
Current State: 11:[6, 50], Operations: ['60/10=6', '84-34=50']
Exploring Operation: 6+50=56, Resulting Numbers: [56]
56,11 unequal: No Solution
Exploring Operation: 50-6=44, Resulting Numbers: [44]
44,11 unequal: No Solution
Exploring Operation: 6*50=300, Resulting Numbers: [300]
300,11 unequal: No Solution
Moving to Node #0,1,1
Current State: 11:[34, 78], Operations: ['60/10=6', '84-6=78']
Exploring Operation: 34+78=112, Resulting Numbers: [112]
112,11 unequal: No Solution
Exploring Operation: 78-34=44, Resulting Numbers: [44]
44,11 unequal: No Solution
Exploring Operation: 34*78=2652, Resulting Numbers: [2652]
2652,11 unequal: No Solution
Moving to Node #0,1,4
Current State: 11:[84, 28], Operations: ['60/10=6', '34-6=28']
Exploring Operation: 84-28=56, Resulting Numbers: [56]
56,11 unequal: No Solution
Exploring Operation: 84/28=3, Resulting Numbers: [3]
3,11 unequal: No Solution
Exploring Operation: 84*28=2352, Resulting Numbers: [2352]
2352,11 unequal: No Solution
Exploring Operation: 84+28=112, Resulting Numbers: [112]
112,11 unequal: No Solution
Moving to Node #0,1,2
Current State: 11:[84, 40], Operations: ['60/10=6', '34+6=40']
Exploring Operation: 84*40=3360, Resulting Numbers: [3360]
3360,11 unequal: No Solution
Exploring Operation: 84-40=44, Resulting Numbers: [44]
44,11 unequal: No Solution
Exploring Operation: 84+40=124, Resulting Numbers: [124]
124,11 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
11,
29,
13,
20
] | 21 | [
"13*20=260",
"260-29=231",
"231/11=21"
] | Current State: 21:[11, 29, 13, 20], Operations: []
Exploring Operation: 13*20=260, Resulting Numbers: [11, 29, 260]
Generated Node #2: [11, 29, 260] from Operation: 13*20=260
Current State: 21:[11, 29, 260], Operations: ['13*20=260']
Exploring Operation: 260-29=231, Resulting Numbers: [11, 231]
Generated Node #3: [11, 231] from Operation: 260-29=231
Current State: 21:[11, 231], Operations: ['13*20=260', '260-29=231']
Exploring Operation: 231/11=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[11, 29, 13, 20], Operations: []
Exploring Operation: 29-11=18, Resulting Numbers: [13, 20, 18]
Generated Node #0,0: 21:[13, 20, 18] Operation: 29-11=18
Moving to Node #0,0
Current State: 21:[13, 20, 18], Operations: ['29-11=18']
Exploring Operation: 20-13=7, Resulting Numbers: [18, 7]
Generated Node #0,0,0: 21:[18, 7] Operation: 20-13=7
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 21:[18, 7], Operations: ['29-11=18', '20-13=7']
Exploring Operation: 18+7=25, Resulting Numbers: [25]
25,21 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 |
[
28,
6,
77,
74
] | 10 | [
"77-74=3",
"6*3=18",
"28-18=10"
] | Current State: 10:[28, 6, 77, 74], Operations: []
Exploring Operation: 77-74=3, Resulting Numbers: [28, 6, 3]
Generated Node #2: [28, 6, 3] from Operation: 77-74=3
Current State: 10:[28, 6, 3], Operations: ['77-74=3']
Exploring Operation: 6*3=18, Resulting Numbers: [28, 18]
Generated Node #3: [28, 18] from Operation: 6*3=18
Current State: 10:[28, 18], Operations: ['77-74=3', '6*3=18']
Exploring Operation: 28-18=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[28, 6, 77, 74], Operations: []
Exploring Operation: 77-6=71, Resulting Numbers: [28, 74, 71]
Generated Node #0,0: 10:[28, 74, 71] Operation: 77-6=71
Exploring Operation: 28-6=22, Resulting Numbers: [77, 74, 22]
Generated Node #0,1: 10:[77, 74, 22] Operation: 28-6=22
Exploring Operation: 77-74=3, Resulting Numbers: [28, 6, 3]
Generated Node #0,2: 10:[28, 6, 3] Operation: 77-74=3
Exploring Operation: 77-28=49, Resulting Numbers: [6, 74, 49]
Generated Node #0,3: 10:[6, 74, 49] Operation: 77-28=49
Exploring Operation: 74-28=46, Resulting Numbers: [6, 77, 46]
Generated Node #0,4: 10:[6, 77, 46] Operation: 74-28=46
Moving to Node #0,2
Current State: 10:[28, 6, 3], Operations: ['77-74=3']
Exploring Operation: 6+3=9, Resulting Numbers: [28, 9]
Generated Node #0,2,0: 10:[28, 9] Operation: 6+3=9
Exploring Operation: 28-6=22, Resulting Numbers: [3, 22]
Generated Node #0,2,1: 10:[3, 22] Operation: 28-6=22
Exploring Operation: 6/3=2, Resulting Numbers: [28, 2]
Generated Node #0,2,2: 10:[28, 2] Operation: 6/3=2
Exploring Operation: 28-3=25, Resulting Numbers: [6, 25]
Generated Node #0,2,3: 10:[6, 25] Operation: 28-3=25
Exploring Operation: 6-3=3, Resulting Numbers: [28, 3]
Generated Node #0,2,4: 10:[28, 3] Operation: 6-3=3
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 10:[3, 22], Operations: ['77-74=3', '28-6=22']
Exploring Operation: 3+22=25, Resulting Numbers: [25]
25,10 unequal: No Solution
Exploring Operation: 22-3=19, Resulting Numbers: [19]
19,10 unequal: No Solution
Exploring Operation: 3*22=66, Resulting Numbers: [66]
66,10 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:[6, 25], Operations: ['77-74=3', '28-3=25']
Exploring Operation: 6+25=31, Resulting Numbers: [31]
31,10 unequal: No Solution
Exploring Operation: 6*25=150, Resulting Numbers: [150]
150,10 unequal: No Solution
Exploring Operation: 25-6=19, Resulting Numbers: [19]
19,10 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 #0,2,2
Current State: 10:[28, 2], Operations: ['77-74=3', '6/3=2']
Exploring Operation: 28+2=30, Resulting Numbers: [30]
30,10 unequal: No Solution
Exploring Operation: 28*2=56, Resulting Numbers: [56]
56,10 unequal: No Solution
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,10 unequal: No Solution
Exploring Operation: 28-2=26, Resulting Numbers: [26]
26,10 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:[28, 9], Operations: ['77-74=3', '6+3=9']
Exploring Operation: 28-9=19, Resulting Numbers: [19]
19,10 unequal: No Solution
Exploring Operation: 28+9=37, Resulting Numbers: [37]
37,10 unequal: No Solution
Exploring Operation: 28*9=252, Resulting Numbers: [252]
252,10 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:[28, 3], Operations: ['77-74=3', '6-3=3']
Exploring Operation: 28+3=31, Resulting Numbers: [31]
31,10 unequal: No Solution
Exploring Operation: 28*3=84, Resulting Numbers: [84]
84,10 unequal: No Solution
Exploring Operation: 28-3=25, Resulting Numbers: [25]
25,10 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: 10:[6, 77, 46], Operations: ['74-28=46']
Exploring Operation: 46-6=40, Resulting Numbers: [77, 40]
Generated Node #0,4,0: 10:[77, 40] Operation: 46-6=40
Exploring Operation: 6+46=52, Resulting Numbers: [77, 52]
Generated Node #0,4,1: 10:[77, 52] Operation: 6+46=52
Exploring Operation: 6+77=83, Resulting Numbers: [46, 83]
Generated Node #0,4,2: 10:[46, 83] Operation: 6+77=83
Exploring Operation: 77-46=31, Resulting Numbers: [6, 31]
Generated Node #0,4,3: 10:[6, 31] Operation: 77-46=31
Exploring Operation: 77-6=71, Resulting Numbers: [46, 71]
Generated Node #0,4,4: 10:[46, 71] Operation: 77-6=71
Moving to Node #0,3
Current State: 10:[6, 74, 49], Operations: ['77-28=49']
Exploring Operation: 74-6=68, Resulting Numbers: [49, 68]
Generated Node #0,3,0: 10:[49, 68] Operation: 74-6=68
Exploring Operation: 49-6=43, Resulting Numbers: [74, 43]
Generated Node #0,3,1: 10:[74, 43] Operation: 49-6=43
Exploring Operation: 6+74=80, Resulting Numbers: [49, 80]
Generated Node #0,3,2: 10:[49, 80] Operation: 6+74=80
Exploring Operation: 6+49=55, Resulting Numbers: [74, 55]
Generated Node #0,3,3: 10:[74, 55] Operation: 6+49=55
Exploring Operation: 74-49=25, Resulting Numbers: [6, 25]
Generated Node #0,3,4: 10:[6, 25] Operation: 74-49=25
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 10:[6, 25], Operations: ['77-28=49', '74-49=25']
Exploring Operation: 6+25=31, Resulting Numbers: [31]
31,10 unequal: No Solution
Exploring Operation: 6*25=150, Resulting Numbers: [150]
150,10 unequal: No Solution
Exploring Operation: 25-6=19, Resulting Numbers: [19]
19,10 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, 68], Operations: ['77-28=49', '74-6=68']
Exploring Operation: 49+68=117, Resulting Numbers: [117]
117,10 unequal: No Solution
Exploring Operation: 49*68=3332, Resulting Numbers: [3332]
3332,10 unequal: No Solution
Exploring Operation: 68-49=19, Resulting Numbers: [19]
19,10 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 #0,3,1
Current State: 10:[74, 43], Operations: ['77-28=49', '49-6=43']
Exploring Operation: 74-43=31, Resulting Numbers: [31]
31,10 unequal: No Solution
Exploring Operation: 74+43=117, Resulting Numbers: [117]
117,10 unequal: No Solution
Exploring Operation: 74*43=3182, Resulting Numbers: [3182]
3182,10 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:[49, 80], Operations: ['77-28=49', '6+74=80']
Exploring Operation: 49*80=3920, Resulting Numbers: [3920]
3920,10 unequal: No Solution
Exploring Operation: 49+80=129, Resulting Numbers: [129]
129,10 unequal: No Solution
Exploring Operation: 80-49=31, Resulting Numbers: [31]
31,10 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:[74, 55], Operations: ['77-28=49', '6+49=55']
Exploring Operation: 74*55=4070, Resulting Numbers: [4070]
4070,10 unequal: No Solution
Exploring Operation: 74-55=19, Resulting Numbers: [19]
19,10 unequal: No Solution
Exploring Operation: 74+55=129, Resulting Numbers: [129]
129,10 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:[28, 74, 71], Operations: ['77-6=71']
Exploring Operation: 28+74=102, Resulting Numbers: [71, 102]
Generated Node #0,0,0: 10:[71, 102] Operation: 28+74=102
Exploring Operation: 74-71=3, Resulting Numbers: [28, 3]
Generated Node #0,0,1: 10:[28, 3] Operation: 74-71=3
Exploring Operation: 74-28=46, Resulting Numbers: [71, 46]
Generated Node #0,0,2: 10:[71, 46] Operation: 74-28=46
Exploring Operation: 28+71=99, Resulting Numbers: [74, 99]
Generated Node #0,0,3: 10:[74, 99] Operation: 28+71=99
Exploring Operation: 71-28=43, Resulting Numbers: [74, 43]
Generated Node #0,0,4: 10:[74, 43] Operation: 71-28=43
Moving to Node #0,1
Current State: 10:[77, 74, 22], Operations: ['28-6=22']
Exploring Operation: 77+74=151, Resulting Numbers: [22, 151]
Generated Node #0,1,0: 10:[22, 151] Operation: 77+74=151
Exploring Operation: 74-22=52, Resulting Numbers: [77, 52]
Generated Node #0,1,1: 10:[77, 52] Operation: 74-22=52
Exploring Operation: 77+22=99, Resulting Numbers: [74, 99]
Generated Node #0,1,2: 10:[74, 99] Operation: 77+22=99
Exploring Operation: 77-74=3, Resulting Numbers: [22, 3]
Generated Node #0,1,3: 10:[22, 3] Operation: 77-74=3
Exploring Operation: 77-22=55, Resulting Numbers: [74, 55]
Generated Node #0,1,4: 10:[74, 55] Operation: 77-22=55
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 10:[22, 3], Operations: ['28-6=22', '77-74=3']
Exploring Operation: 22+3=25, Resulting Numbers: [25]
25,10 unequal: No Solution
Exploring Operation: 22-3=19, Resulting Numbers: [19]
19,10 unequal: No Solution
Exploring Operation: 22*3=66, Resulting Numbers: [66]
66,10 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:[77, 52], Operations: ['28-6=22', '74-22=52']
Exploring Operation: 77-52=25, Resulting Numbers: [25]
25,10 unequal: No Solution
Exploring Operation: 77*52=4004, Resulting Numbers: [4004]
4004,10 unequal: No Solution
Exploring Operation: 77+52=129, Resulting Numbers: [129]
129,10 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:[74, 55], Operations: ['28-6=22', '77-22=55']
Exploring Operation: 74-55=19, Resulting Numbers: [19]
19,10 unequal: No Solution
Exploring Operation: 74+55=129, Resulting Numbers: [129]
129,10 unequal: No Solution
Exploring Operation: 74*55=4070, Resulting Numbers: [4070]
4070,10 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:[22, 151], Operations: ['28-6=22', '77+74=151']
Exploring Operation: 151-22=129, Resulting Numbers: [129]
129,10 unequal: No Solution
Exploring Operation: 22*151=3322, Resulting Numbers: [3322]
3322,10 unequal: No Solution
Exploring Operation: 22+151=173, Resulting Numbers: [173]
173,10 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 #0,1,2
Current State: 10:[74, 99], Operations: ['28-6=22', '77+22=99']
Exploring Operation: 74*99=7326, Resulting Numbers: [7326]
7326,10 unequal: No Solution
Exploring Operation: 74+99=173, Resulting Numbers: [173]
173,10 unequal: No Solution
Exploring Operation: 99-74=25, Resulting Numbers: [25]
25,10 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: 10:[28, 3], Operations: ['77-6=71', '74-71=3']
Exploring Operation: 28+3=31, Resulting Numbers: [31]
31,10 unequal: No Solution
Exploring Operation: 28-3=25, Resulting Numbers: [25]
25,10 unequal: No Solution
Exploring Operation: 28*3=84, Resulting Numbers: [84]
84,10 unequal: No Solution
Moving to Node #0,4,3
Current State: 10:[6, 31], Operations: ['74-28=46', '77-46=31']
Exploring Operation: 6+31=37, Resulting Numbers: [37]
37,10 unequal: No Solution
Exploring Operation: 31-6=25, Resulting Numbers: [25]
25,10 unequal: No Solution
Exploring Operation: 6*31=186, Resulting Numbers: [186]
186,10 unequal: No Solution
Moving to Node #0,0,2
Current State: 10:[71, 46], Operations: ['77-6=71', '74-28=46']
Exploring Operation: 71+46=117, Resulting Numbers: [117]
117,10 unequal: No Solution
Exploring Operation: 71*46=3266, Resulting Numbers: [3266]
3266,10 unequal: No Solution
Exploring Operation: 71-46=25, Resulting Numbers: [25]
25,10 unequal: No Solution
Moving to Node #0,4,4
Current State: 10:[46, 71], Operations: ['74-28=46', '77-6=71']
Exploring Operation: 71-46=25, Resulting Numbers: [25]
25,10 unequal: No Solution
Exploring Operation: 46+71=117, Resulting Numbers: [117]
117,10 unequal: No Solution
Exploring Operation: 46*71=3266, Resulting Numbers: [3266]
3266,10 unequal: No Solution
Moving to Node #0,4,0
Current State: 10:[77, 40], Operations: ['74-28=46', '46-6=40']
Exploring Operation: 77+40=117, Resulting Numbers: [117]
117,10 unequal: No Solution
Exploring Operation: 77-40=37, Resulting Numbers: [37]
37,10 unequal: No Solution
Exploring Operation: 77*40=3080, Resulting Numbers: [3080]
3080,10 unequal: No Solution
Moving to Node #0,0,4
Current State: 10:[74, 43], Operations: ['77-6=71', '71-28=43']
Exploring Operation: 74+43=117, Resulting Numbers: [117]
117,10 unequal: No Solution
Exploring Operation: 74*43=3182, Resulting Numbers: [3182]
3182,10 unequal: No Solution
Exploring Operation: 74-43=31, Resulting Numbers: [31]
31,10 unequal: No Solution
Moving to Node #0,4,1
Current State: 10:[77, 52], Operations: ['74-28=46', '6+46=52']
Exploring Operation: 77+52=129, Resulting Numbers: [129]
129,10 unequal: No Solution
Exploring Operation: 77-52=25, Resulting Numbers: [25]
25,10 unequal: No Solution
Exploring Operation: 77*52=4004, Resulting Numbers: [4004]
4004,10 unequal: No Solution
Moving to Node #0,4,2
Current State: 10:[46, 83], Operations: ['74-28=46', '6+77=83']
Exploring Operation: 46*83=3818, Resulting Numbers: [3818]
3818,10 unequal: No Solution
Exploring Operation: 46+83=129, Resulting Numbers: [129]
129,10 unequal: No Solution
Exploring Operation: 83-46=37, Resulting Numbers: [37]
37,10 unequal: No Solution
Moving to Node #0,0,3
Current State: 10:[74, 99], Operations: ['77-6=71', '28+71=99']
Exploring Operation: 74*99=7326, Resulting Numbers: [7326]
7326,10 unequal: No Solution
Exploring Operation: 99-74=25, Resulting Numbers: [25]
25,10 unequal: No Solution
Exploring Operation: 74+99=173, Resulting Numbers: [173]
173,10 unequal: No Solution
Moving to Node #0,0,0
Current State: 10:[71, 102], Operations: ['77-6=71', '28+74=102']
Exploring Operation: 71*102=7242, Resulting Numbers: [7242]
7242,10 unequal: No Solution
Exploring Operation: 102-71=31, Resulting Numbers: [31]
31,10 unequal: No Solution
Exploring Operation: 71+102=173, Resulting Numbers: [173]
173,10 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
66,
68,
4,
33
] | 82 | [
"66+33=99",
"68/4=17",
"99-17=82"
] | Current State: 82:[66, 68, 4, 33], Operations: []
Exploring Operation: 66+33=99, Resulting Numbers: [68, 4, 99]
Generated Node #2: [68, 4, 99] from Operation: 66+33=99
Current State: 82:[68, 4, 99], Operations: ['66+33=99']
Exploring Operation: 68/4=17, Resulting Numbers: [99, 17]
Generated Node #3: [99, 17] from Operation: 68/4=17
Current State: 82:[99, 17], Operations: ['66+33=99', '68/4=17']
Exploring Operation: 99-17=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[66, 68, 4, 33], Operations: []
Exploring Operation: 66/33=2, Resulting Numbers: [68, 4, 2]
Generated Node #0,0: 82:[68, 4, 2] Operation: 66/33=2
Exploring Operation: 66-33=33, Resulting Numbers: [68, 4, 33]
Generated Node #0,1: 82:[68, 4, 33] Operation: 66-33=33
Exploring Operation: 68-66=2, Resulting Numbers: [4, 33, 2]
Generated Node #0,2: 82:[4, 33, 2] Operation: 68-66=2
Start Sub Search at level 1: Moving to Node #0,2
Current State: 82:[4, 33, 2], Operations: ['68-66=2']
Exploring Operation: 4-2=2, Resulting Numbers: [33, 2]
Generated Node #0,2,0: 82:[33, 2] Operation: 4-2=2
Exploring Operation: 4/2=2, Resulting Numbers: [33, 2]
Generated Node #0,2,1: 82:[33, 2] Operation: 4/2=2
Exploring Operation: 4+33=37, Resulting Numbers: [2, 37]
Generated Node #0,2,2: 82:[2, 37] Operation: 4+33=37
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 82:[2, 37], Operations: ['68-66=2', '4+33=37']
Exploring Operation: 2*37=74, Resulting Numbers: [74]
74,82 unequal: No Solution
Exploring Operation: 37-2=35, Resulting Numbers: [35]
35,82 unequal: No Solution
Exploring Operation: 2+37=39, Resulting Numbers: [39]
39,82 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 #0,2,0
Current State: 82:[33, 2], Operations: ['68-66=2', '4-2=2']
Exploring Operation: 33*2=66, Resulting Numbers: [66]
66,82 unequal: No Solution
Exploring Operation: 33-2=31, Resulting Numbers: [31]
31,82 unequal: No Solution
Exploring Operation: 33+2=35, Resulting Numbers: [35]
35,82 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 #0,2,1
Current State: 82:[33, 2], Operations: ['68-66=2', '4/2=2']
Exploring Operation: 33+2=35, Resulting Numbers: [35]
35,82 unequal: No Solution
Exploring Operation: 33-2=31, Resulting Numbers: [31]
31,82 unequal: No Solution
Exploring Operation: 33*2=66, Resulting Numbers: [66]
66,82 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:[68, 4, 2], Operations: ['66/33=2']
Exploring Operation: 68+4=72, Resulting Numbers: [2, 72]
Generated Node #0,0,0: 82:[2, 72] Operation: 68+4=72
Exploring Operation: 68+2=70, Resulting Numbers: [4, 70]
Generated Node #0,0,1: 82:[4, 70] Operation: 68+2=70
Exploring Operation: 68/2=34, Resulting Numbers: [4, 34]
Generated Node #0,0,2: 82:[4, 34] Operation: 68/2=34
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 82:[4, 34], Operations: ['66/33=2', '68/2=34']
Exploring Operation: 4*34=136, Resulting Numbers: [136]
136,82 unequal: No Solution
Exploring Operation: 34-4=30, Resulting Numbers: [30]
30,82 unequal: No Solution
Exploring Operation: 4+34=38, Resulting Numbers: [38]
38,82 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 #0,0,0
Current State: 82:[2, 72], Operations: ['66/33=2', '68+4=72']
Exploring Operation: 2+72=74, Resulting Numbers: [74]
74,82 unequal: No Solution
Exploring Operation: 72/2=36, Resulting Numbers: [36]
36,82 unequal: No Solution
Exploring Operation: 72-2=70, Resulting Numbers: [70]
70,82 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 #0,0,1
Current State: 82:[4, 70], Operations: ['66/33=2', '68+2=70']
Exploring Operation: 4+70=74, Resulting Numbers: [74]
74,82 unequal: No Solution
Exploring Operation: 70-4=66, Resulting Numbers: [66]
66,82 unequal: No Solution
Exploring Operation: 4*70=280, Resulting Numbers: [280]
280,82 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 #0,1
Current State: 82:[68, 4, 33], Operations: ['66-33=33']
Exploring Operation: 68-33=35, Resulting Numbers: [4, 35]
Generated Node #0,1,0: 82:[4, 35] Operation: 68-33=35
Exploring Operation: 4+33=37, Resulting Numbers: [68, 37]
Generated Node #0,1,1: 82:[68, 37] Operation: 4+33=37
Exploring Operation: 68+4=72, Resulting Numbers: [33, 72]
Generated Node #0,1,2: 82:[33, 72] Operation: 68+4=72
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 82:[4, 35], Operations: ['66-33=33', '68-33=35']
Exploring Operation: 4*35=140, Resulting Numbers: [140]
140,82 unequal: No Solution
Exploring Operation: 35-4=31, Resulting Numbers: [31]
31,82 unequal: No Solution
Exploring Operation: 4+35=39, Resulting Numbers: [39]
39,82 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 #0,1,1
Current State: 82:[68, 37], Operations: ['66-33=33', '4+33=37']
Exploring Operation: 68+37=105, Resulting Numbers: [105]
105,82 unequal: No Solution
Exploring Operation: 68*37=2516, Resulting Numbers: [2516]
2516,82 unequal: No Solution
Exploring Operation: 68-37=31, Resulting Numbers: [31]
31,82 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 #0,1,2
Current State: 82:[33, 72], Operations: ['66-33=33', '68+4=72']
Exploring Operation: 33*72=2376, Resulting Numbers: [2376]
2376,82 unequal: No Solution
Exploring Operation: 72-33=39, Resulting Numbers: [39]
39,82 unequal: No Solution
Exploring Operation: 33+72=105, Resulting Numbers: [105]
105,82 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
No solution found.
| 0 | hs_3 | mult_heuristic |
[
10,
11,
74,
12
] | 61 | [
"11-10=1",
"74-12=62",
"62-1=61"
] | Current State: 61:[10, 11, 74, 12], Operations: []
Exploring Operation: 11-10=1, Resulting Numbers: [74, 12, 1]
Generated Node #2: [74, 12, 1] from Operation: 11-10=1
Current State: 61:[74, 12, 1], Operations: ['11-10=1']
Exploring Operation: 74-12=62, Resulting Numbers: [1, 62]
Generated Node #3: [1, 62] from Operation: 74-12=62
Current State: 61:[1, 62], Operations: ['11-10=1', '74-12=62']
Exploring Operation: 62-1=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[10, 11, 74, 12], Operations: []
Exploring Operation: 10+12=22, Resulting Numbers: [11, 74, 22]
Generated Node #0,0: 61:[11, 74, 22] Operation: 10+12=22
Exploring Operation: 74-10=64, Resulting Numbers: [11, 12, 64]
Generated Node #0,1: 61:[11, 12, 64] Operation: 74-10=64
Exploring Operation: 11+12=23, Resulting Numbers: [10, 74, 23]
Generated Node #0,2: 61:[10, 74, 23] Operation: 11+12=23
Exploring Operation: 10+11=21, Resulting Numbers: [74, 12, 21]
Generated Node #0,3: 61:[74, 12, 21] Operation: 10+11=21
Exploring Operation: 74-11=63, Resulting Numbers: [10, 12, 63]
Generated Node #0,4: 61:[10, 12, 63] Operation: 74-11=63
Start Sub Search at level 1: Moving to Node #0,0
Current State: 61:[11, 74, 22], Operations: ['10+12=22']
Exploring Operation: 74-11=63, Resulting Numbers: [22, 63]
Generated Node #0,0,0: 61:[22, 63] Operation: 74-11=63
Exploring Operation: 22-11=11, Resulting Numbers: [74, 11]
Generated Node #0,0,1: 61:[74, 11] Operation: 22-11=11
Exploring Operation: 74-22=52, Resulting Numbers: [11, 52]
Generated Node #0,0,2: 61:[11, 52] Operation: 74-22=52
Exploring Operation: 11+22=33, Resulting Numbers: [74, 33]
Generated Node #0,0,3: 61:[74, 33] Operation: 11+22=33
Exploring Operation: 11+74=85, Resulting Numbers: [22, 85]
Generated Node #0,0,4: 61:[22, 85] Operation: 11+74=85
Moving to Node #0,0,0
Current State: 61:[22, 63], Operations: ['10+12=22', '74-11=63']
Exploring Operation: 22+63=85, Resulting Numbers: [85]
85,61 unequal: No Solution
Exploring Operation: 22*63=1386, Resulting Numbers: [1386]
1386,61 unequal: No Solution
Exploring Operation: 63-22=41, Resulting Numbers: [41]
41,61 unequal: No Solution
Moving to Node #0,0,3
Current State: 61:[74, 33], Operations: ['10+12=22', '11+22=33']
Exploring Operation: 74*33=2442, Resulting Numbers: [2442]
2442,61 unequal: No Solution
Exploring Operation: 74-33=41, Resulting Numbers: [41]
41,61 unequal: No Solution
Exploring Operation: 74+33=107, Resulting Numbers: [107]
107,61 unequal: No Solution
Moving to Node #0,0,2
Current State: 61:[11, 52], Operations: ['10+12=22', '74-22=52']
Exploring Operation: 11+52=63, Resulting Numbers: [63]
63,61 unequal: No Solution
Exploring Operation: 11*52=572, Resulting Numbers: [572]
572,61 unequal: No Solution
Exploring Operation: 52-11=41, Resulting Numbers: [41]
41,61 unequal: No Solution
Moving to Node #0,0,1
Current State: 61:[74, 11], Operations: ['10+12=22', '22-11=11']
Exploring Operation: 74-11=63, Resulting Numbers: [63]
63,61 unequal: No Solution
Exploring Operation: 74+11=85, Resulting Numbers: [85]
85,61 unequal: No Solution
Exploring Operation: 74*11=814, Resulting Numbers: [814]
814,61 unequal: No Solution
Moving to Node #0,0,4
Current State: 61:[22, 85], Operations: ['10+12=22', '11+74=85']
Exploring Operation: 22+85=107, Resulting Numbers: [107]
107,61 unequal: No Solution
Exploring Operation: 85-22=63, Resulting Numbers: [63]
63,61 unequal: No Solution
Exploring Operation: 22*85=1870, Resulting Numbers: [1870]
1870,61 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: 61:[11, 12, 64], Operations: ['74-10=64']
Exploring Operation: 12-11=1, Resulting Numbers: [64, 1]
Generated Node #0,1,0: 61:[64, 1] Operation: 12-11=1
Exploring Operation: 11+64=75, Resulting Numbers: [12, 75]
Generated Node #0,1,1: 61:[12, 75] Operation: 11+64=75
Exploring Operation: 64-11=53, Resulting Numbers: [12, 53]
Generated Node #0,1,2: 61:[12, 53] Operation: 64-11=53
Exploring Operation: 11+12=23, Resulting Numbers: [64, 23]
Generated Node #0,1,3: 61:[64, 23] Operation: 11+12=23
Exploring Operation: 64-12=52, Resulting Numbers: [11, 52]
Generated Node #0,1,4: 61:[11, 52] Operation: 64-12=52
Moving to Node #0,1,3
Current State: 61:[64, 23], Operations: ['74-10=64', '11+12=23']
Exploring Operation: 64+23=87, Resulting Numbers: [87]
87,61 unequal: No Solution
Exploring Operation: 64*23=1472, Resulting Numbers: [1472]
1472,61 unequal: No Solution
Exploring Operation: 64-23=41, Resulting Numbers: [41]
41,61 unequal: No Solution
Moving to Node #0,1,2
Current State: 61:[12, 53], Operations: ['74-10=64', '64-11=53']
Exploring Operation: 12*53=636, Resulting Numbers: [636]
636,61 unequal: No Solution
Exploring Operation: 12+53=65, Resulting Numbers: [65]
65,61 unequal: No Solution
Exploring Operation: 53-12=41, Resulting Numbers: [41]
41,61 unequal: No Solution
Moving to Node #0,1,4
Current State: 61:[11, 52], Operations: ['74-10=64', '64-12=52']
Exploring Operation: 11*52=572, Resulting Numbers: [572]
572,61 unequal: No Solution
Exploring Operation: 52-11=41, Resulting Numbers: [41]
41,61 unequal: No Solution
Exploring Operation: 11+52=63, Resulting Numbers: [63]
63,61 unequal: No Solution
Moving to Node #0,1,0
Current State: 61:[64, 1], Operations: ['74-10=64', '12-11=1']
Exploring Operation: 64+1=65, Resulting Numbers: [65]
65,61 unequal: No Solution
Exploring Operation: 64/1=64, Resulting Numbers: [64]
64,61 unequal: No Solution
Exploring Operation: 64*1=64, Resulting Numbers: [64]
64,61 unequal: No Solution
Exploring Operation: 64-1=63, Resulting Numbers: [63]
63,61 unequal: No Solution
Moving to Node #0,1,1
Current State: 61:[12, 75], Operations: ['74-10=64', '11+64=75']
Exploring Operation: 12+75=87, Resulting Numbers: [87]
87,61 unequal: No Solution
Exploring Operation: 12*75=900, Resulting Numbers: [900]
900,61 unequal: No Solution
Exploring Operation: 75-12=63, Resulting Numbers: [63]
63,61 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: 61:[10, 74, 23], Operations: ['11+12=23']
Exploring Operation: 10+74=84, Resulting Numbers: [23, 84]
Generated Node #0,2,0: 61:[23, 84] Operation: 10+74=84
Exploring Operation: 10+23=33, Resulting Numbers: [74, 33]
Generated Node #0,2,1: 61:[74, 33] Operation: 10+23=33
Exploring Operation: 74-23=51, Resulting Numbers: [10, 51]
Generated Node #0,2,2: 61:[10, 51] Operation: 74-23=51
Exploring Operation: 23-10=13, Resulting Numbers: [74, 13]
Generated Node #0,2,3: 61:[74, 13] Operation: 23-10=13
Exploring Operation: 74-10=64, Resulting Numbers: [23, 64]
Generated Node #0,2,4: 61:[23, 64] Operation: 74-10=64
Moving to Node #0,2,1
Current State: 61:[74, 33], Operations: ['11+12=23', '10+23=33']
Exploring Operation: 74-33=41, Resulting Numbers: [41]
41,61 unequal: No Solution
Exploring Operation: 74+33=107, Resulting Numbers: [107]
107,61 unequal: No Solution
Exploring Operation: 74*33=2442, Resulting Numbers: [2442]
2442,61 unequal: No Solution
Moving to Node #0,2,4
Current State: 61:[23, 64], Operations: ['11+12=23', '74-10=64']
Exploring Operation: 23+64=87, Resulting Numbers: [87]
87,61 unequal: No Solution
Exploring Operation: 23*64=1472, Resulting Numbers: [1472]
1472,61 unequal: No Solution
Exploring Operation: 64-23=41, Resulting Numbers: [41]
41,61 unequal: No Solution
Moving to Node #0,2,0
Current State: 61:[23, 84], Operations: ['11+12=23', '10+74=84']
Exploring Operation: 84-23=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Moving to Node #0
Current State: 61:[10, 11, 74, 12], Operations: []
Exploring Operation: 11+12=23, Resulting Numbers: [10, 74, 23]
Generated Node #0,2: 61:[10, 74, 23] Operation: 11+12=23
Moving to Node #0,2
Current State: 61:[10, 74, 23], Operations: ['11+12=23']
Exploring Operation: 10+74=84, Resulting Numbers: [23, 84]
Generated Node #0,2,0: 61:[23, 84] Operation: 10+74=84
Moving to Node #0,2,0
Current State: 61:[23, 84], Operations: ['11+12=23', '10+74=84']
Exploring Operation: 84-23=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Exit Sub Search at level 1
| 0.946181 | hs_5 | mult_heuristic |
[
65,
49,
84,
82
] | 87 | [
"65+82=147",
"147/49=3",
"84+3=87"
] | Current State: 87:[65, 49, 84, 82], Operations: []
Exploring Operation: 65+82=147, Resulting Numbers: [49, 84, 147]
Generated Node #2: [49, 84, 147] from Operation: 65+82=147
Current State: 87:[49, 84, 147], Operations: ['65+82=147']
Exploring Operation: 147/49=3, Resulting Numbers: [84, 3]
Generated Node #3: [84, 3] from Operation: 147/49=3
Current State: 87:[84, 3], Operations: ['65+82=147', '147/49=3']
Exploring Operation: 84+3=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[65, 49, 84, 82], Operations: []
Exploring Operation: 82-49=33, Resulting Numbers: [65, 84, 33]
Generated Node #0,0: 87:[65, 84, 33] Operation: 82-49=33
Exploring Operation: 65-49=16, Resulting Numbers: [84, 82, 16]
Generated Node #0,1: 87:[84, 82, 16] Operation: 65-49=16
Moving to Node #0,1
Current State: 87:[84, 82, 16], Operations: ['65-49=16']
Exploring Operation: 82+16=98, Resulting Numbers: [84, 98]
Generated Node #0,1,0: 87:[84, 98] Operation: 82+16=98
Exploring Operation: 84-82=2, Resulting Numbers: [16, 2]
Generated Node #0,1,1: 87:[16, 2] Operation: 84-82=2
Moving to Node #0,0
Current State: 87:[65, 84, 33], Operations: ['82-49=33']
Exploring Operation: 84-65=19, Resulting Numbers: [33, 19]
Generated Node #0,0,0: 87:[33, 19] Operation: 84-65=19
Exploring Operation: 65-33=32, Resulting Numbers: [84, 32]
Generated Node #0,0,1: 87:[84, 32] Operation: 65-33=32
Moving to Node #0,0,1
Current State: 87:[84, 32], Operations: ['82-49=33', '65-33=32']
Exploring Operation: 84+32=116, Resulting Numbers: [116]
116,87 unequal: No Solution
Exploring Operation: 84-32=52, Resulting Numbers: [52]
52,87 unequal: No Solution
Moving to Node #0,1,0
Current State: 87:[84, 98], Operations: ['65-49=16', '82+16=98']
Exploring Operation: 84+98=182, Resulting Numbers: [182]
182,87 unequal: No Solution
Exploring Operation: 98-84=14, Resulting Numbers: [14]
14,87 unequal: No Solution
Moving to Node #0,1,1
Current State: 87:[16, 2], Operations: ['65-49=16', '84-82=2']
Exploring Operation: 16/2=8, Resulting Numbers: [8]
8,87 unequal: No Solution
Exploring Operation: 16*2=32, Resulting Numbers: [32]
32,87 unequal: No Solution
Moving to Node #0,0,0
Current State: 87:[33, 19], Operations: ['82-49=33', '84-65=19']
Exploring Operation: 33-19=14, Resulting Numbers: [14]
14,87 unequal: No Solution
Exploring Operation: 33+19=52, Resulting Numbers: [52]
52,87 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
12,
82,
89,
7
] | 77 | [
"12*7=84",
"89-82=7",
"84-7=77"
] | Current State: 77:[12, 82, 89, 7], Operations: []
Exploring Operation: 12*7=84, Resulting Numbers: [82, 89, 84]
Generated Node #2: [82, 89, 84] from Operation: 12*7=84
Current State: 77:[82, 89, 84], Operations: ['12*7=84']
Exploring Operation: 89-82=7, Resulting Numbers: [84, 7]
Generated Node #3: [84, 7] from Operation: 89-82=7
Current State: 77:[84, 7], Operations: ['12*7=84', '89-82=7']
Exploring Operation: 84-7=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[12, 82, 89, 7], Operations: []
Exploring Operation: 89-7=82, Resulting Numbers: [12, 82, 82]
Generated Node #0,0: 77:[12, 82, 82] Operation: 89-7=82
Exploring Operation: 82-7=75, Resulting Numbers: [12, 89, 75]
Generated Node #0,1: 77:[12, 89, 75] Operation: 82-7=75
Exploring Operation: 89-82=7, Resulting Numbers: [12, 7, 7]
Generated Node #0,2: 77:[12, 7, 7] Operation: 89-82=7
Exploring Operation: 89-12=77, Resulting Numbers: [82, 7, 77]
Generated Node #0,3: 77:[82, 7, 77] Operation: 89-12=77
Moving to Node #0,2
Current State: 77:[12, 7, 7], Operations: ['89-82=7']
Exploring Operation: 7+7=14, Resulting Numbers: [12, 14]
Generated Node #0,2,0: 77:[12, 14] Operation: 7+7=14
Exploring Operation: 12-7=5, Resulting Numbers: [7, 5]
Generated Node #0,2,1: 77:[7, 5] Operation: 12-7=5
Exploring Operation: 12*7=84, Resulting Numbers: [7, 84]
Generated Node #0,2,2: 77:[7, 84] Operation: 12*7=84
Exploring Operation: 12-7=5, Resulting Numbers: [7, 5]
Generated Node #0,2,3: 77:[7, 5] Operation: 12-7=5
Moving to Node #0,3
Current State: 77:[82, 7, 77], Operations: ['89-12=77']
Exploring Operation: 77/7=11, Resulting Numbers: [82, 11]
Generated Node #0,3,0: 77:[82, 11] Operation: 77/7=11
Exploring Operation: 82-77=5, Resulting Numbers: [7, 5]
Generated Node #0,3,1: 77:[7, 5] Operation: 82-77=5
Exploring Operation: 82-7=75, Resulting Numbers: [77, 75]
Generated Node #0,3,2: 77:[77, 75] Operation: 82-7=75
Exploring Operation: 82+7=89, Resulting Numbers: [77, 89]
Generated Node #0,3,3: 77:[77, 89] Operation: 82+7=89
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 77:[7, 5], Operations: ['89-12=77', '82-77=5']
Exploring Operation: 7+5=12, Resulting Numbers: [12]
12,77 unequal: No Solution
Exploring Operation: 7-5=2, Resulting Numbers: [2]
2,77 unequal: No Solution
Exploring Operation: 7*5=35, Resulting Numbers: [35]
35,77 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 #0,3,2
Current State: 77:[77, 75], Operations: ['89-12=77', '82-7=75']
Exploring Operation: 77*75=5775, Resulting Numbers: [5775]
5775,77 unequal: No Solution
Exploring Operation: 77+75=152, Resulting Numbers: [152]
152,77 unequal: No Solution
Exploring Operation: 77-75=2, Resulting Numbers: [2]
2,77 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 #0,3,0
Current State: 77:[82, 11], Operations: ['89-12=77', '77/7=11']
Exploring Operation: 82-11=71, Resulting Numbers: [71]
71,77 unequal: No Solution
Exploring Operation: 82+11=93, Resulting Numbers: [93]
93,77 unequal: No Solution
Exploring Operation: 82*11=902, Resulting Numbers: [902]
902,77 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 #0,3,3
Current State: 77:[77, 89], Operations: ['89-12=77', '82+7=89']
Exploring Operation: 77*89=6853, Resulting Numbers: [6853]
6853,77 unequal: No Solution
Exploring Operation: 77+89=166, Resulting Numbers: [166]
166,77 unequal: No Solution
Exploring Operation: 89-77=12, Resulting Numbers: [12]
12,77 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:[12, 82, 82], Operations: ['89-7=82']
Exploring Operation: 82/82=1, Resulting Numbers: [12, 1]
Generated Node #0,0,0: 77:[12, 1] Operation: 82/82=1
Exploring Operation: 82-12=70, Resulting Numbers: [82, 70]
Generated Node #0,0,1: 77:[82, 70] Operation: 82-12=70
Exploring Operation: 82-82=0, Resulting Numbers: [12, 0]
Generated Node #0,0,2: 77:[12, 0] Operation: 82-82=0
Exploring Operation: 82-12=70, Resulting Numbers: [82, 70]
Generated Node #0,0,3: 77:[82, 70] Operation: 82-12=70
Moving to Node #0,1
Current State: 77:[12, 89, 75], Operations: ['82-7=75']
Exploring Operation: 12+89=101, Resulting Numbers: [75, 101]
Generated Node #0,1,0: 77:[75, 101] Operation: 12+89=101
Exploring Operation: 12+75=87, Resulting Numbers: [89, 87]
Generated Node #0,1,1: 77:[89, 87] Operation: 12+75=87
Exploring Operation: 89-12=77, Resulting Numbers: [75, 77]
Generated Node #0,1,2: 77:[75, 77] Operation: 89-12=77
Exploring Operation: 89-75=14, Resulting Numbers: [12, 14]
Generated Node #0,1,3: 77:[12, 14] Operation: 89-75=14
Moving to Node #0,2,1
Current State: 77:[7, 5], Operations: ['89-82=7', '12-7=5']
Exploring Operation: 7*5=35, Resulting Numbers: [35]
35,77 unequal: No Solution
Exploring Operation: 7-5=2, Resulting Numbers: [2]
2,77 unequal: No Solution
Exploring Operation: 7+5=12, Resulting Numbers: [12]
12,77 unequal: No Solution
Moving to Node #0,2,3
Current State: 77:[7, 5], Operations: ['89-82=7', '12-7=5']
Exploring Operation: 7-5=2, Resulting Numbers: [2]
2,77 unequal: No Solution
Exploring Operation: 7*5=35, Resulting Numbers: [35]
35,77 unequal: No Solution
Exploring Operation: 7+5=12, Resulting Numbers: [12]
12,77 unequal: No Solution
Moving to Node #0,1,2
Current State: 77:[75, 77], Operations: ['82-7=75', '89-12=77']
Exploring Operation: 77-75=2, Resulting Numbers: [2]
2,77 unequal: No Solution
Exploring Operation: 75+77=152, Resulting Numbers: [152]
152,77 unequal: No Solution
Exploring Operation: 75*77=5775, Resulting Numbers: [5775]
5775,77 unequal: No Solution
Moving to Node #0,2,0
Current State: 77:[12, 14], Operations: ['89-82=7', '7+7=14']
Exploring Operation: 14-12=2, Resulting Numbers: [2]
2,77 unequal: No Solution
Exploring Operation: 12*14=168, Resulting Numbers: [168]
168,77 unequal: No Solution
Exploring Operation: 12+14=26, Resulting Numbers: [26]
26,77 unequal: No Solution
Moving to Node #0,1,3
Current State: 77:[12, 14], Operations: ['82-7=75', '89-75=14']
Exploring Operation: 14-12=2, Resulting Numbers: [2]
2,77 unequal: No Solution
Exploring Operation: 12+14=26, Resulting Numbers: [26]
26,77 unequal: No Solution
Exploring Operation: 12*14=168, Resulting Numbers: [168]
168,77 unequal: No Solution
Moving to Node #0,0,0
Current State: 77:[12, 1], Operations: ['89-7=82', '82/82=1']
Exploring Operation: 12-1=11, Resulting Numbers: [11]
11,77 unequal: No Solution
Exploring Operation: 12+1=13, Resulting Numbers: [13]
13,77 unequal: No Solution
Exploring Operation: 12*1=12, Resulting Numbers: [12]
12,77 unequal: No Solution
Exploring Operation: 12/1=12, Resulting Numbers: [12]
12,77 unequal: No Solution
Moving to Node #0,2,2
Current State: 77:[7, 84], Operations: ['89-82=7', '12*7=84']
Exploring Operation: 84-7=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Moving to Node #0
Current State: 77:[12, 82, 89, 7], Operations: []
Exploring Operation: 89-82=7, Resulting Numbers: [12, 7, 7]
Generated Node #0,2: 77:[12, 7, 7] Operation: 89-82=7
Moving to Node #0,2
Current State: 77:[12, 7, 7], Operations: ['89-82=7']
Exploring Operation: 12*7=84, Resulting Numbers: [7, 84]
Generated Node #0,2,2: 77:[7, 84] Operation: 12*7=84
Moving to Node #0,2,2
Current State: 77:[7, 84], Operations: ['89-82=7', '12*7=84']
Exploring Operation: 84-7=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 0.951389 | hs_4 | mult_heuristic |
[
12,
53,
91,
48
] | 84 | [
"53-12=41",
"91-48=43",
"41+43=84"
] | Current State: 84:[12, 53, 91, 48], Operations: []
Exploring Operation: 53-12=41, Resulting Numbers: [91, 48, 41]
Generated Node #2: [91, 48, 41] from Operation: 53-12=41
Current State: 84:[91, 48, 41], Operations: ['53-12=41']
Exploring Operation: 91-48=43, Resulting Numbers: [41, 43]
Generated Node #3: [41, 43] from Operation: 91-48=43
Current State: 84:[41, 43], Operations: ['53-12=41', '91-48=43']
Exploring Operation: 41+43=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[12, 53, 91, 48], Operations: []
Exploring Operation: 53-48=5, Resulting Numbers: [12, 91, 5]
Generated Node #0,0: 84:[12, 91, 5] Operation: 53-48=5
Exploring Operation: 91-48=43, Resulting Numbers: [12, 53, 43]
Generated Node #0,1: 84:[12, 53, 43] Operation: 91-48=43
Exploring Operation: 91-53=38, Resulting Numbers: [12, 48, 38]
Generated Node #0,2: 84:[12, 48, 38] Operation: 91-53=38
Start Sub Search at level 1: Moving to Node #0,0
Current State: 84:[12, 91, 5], Operations: ['53-48=5']
Exploring Operation: 91-5=86, Resulting Numbers: [12, 86]
Generated Node #0,0,0: 84:[12, 86] Operation: 91-5=86
Exploring Operation: 12-5=7, Resulting Numbers: [91, 7]
Generated Node #0,0,1: 84:[91, 7] Operation: 12-5=7
Exploring Operation: 91-12=79, Resulting Numbers: [5, 79]
Generated Node #0,0,2: 84:[5, 79] Operation: 91-12=79
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 84:[12, 86], Operations: ['53-48=5', '91-5=86']
Exploring Operation: 12*86=1032, Resulting Numbers: [1032]
1032,84 unequal: No Solution
Exploring Operation: 12+86=98, Resulting Numbers: [98]
98,84 unequal: No Solution
Exploring Operation: 86-12=74, Resulting Numbers: [74]
74,84 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: 84:[5, 79], Operations: ['53-48=5', '91-12=79']
Exploring Operation: 5*79=395, Resulting Numbers: [395]
395,84 unequal: No Solution
Exploring Operation: 5+79=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[12, 53, 91, 48], Operations: []
Exploring Operation: 53-48=5, Resulting Numbers: [12, 91, 5]
Generated Node #0,0: 84:[12, 91, 5] Operation: 53-48=5
Moving to Node #0,0
Current State: 84:[12, 91, 5], Operations: ['53-48=5']
Exploring Operation: 91-12=79, Resulting Numbers: [5, 79]
Generated Node #0,0,2: 84:[5, 79] Operation: 91-12=79
Moving to Node #0,0,2
Current State: 84:[5, 79], Operations: ['53-48=5', '91-12=79']
Exploring Operation: 5+79=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_3 | sum_heuristic |
[
15,
9,
11,
58
] | 75 | [
"15-9=6",
"11+58=69",
"6+69=75"
] | Current State: 75:[15, 9, 11, 58], Operations: []
Exploring Operation: 15-9=6, Resulting Numbers: [11, 58, 6]
Generated Node #2: [11, 58, 6] from Operation: 15-9=6
Current State: 75:[11, 58, 6], Operations: ['15-9=6']
Exploring Operation: 11+58=69, Resulting Numbers: [6, 69]
Generated Node #3: [6, 69] from Operation: 11+58=69
Current State: 75:[6, 69], Operations: ['15-9=6', '11+58=69']
Exploring Operation: 6+69=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[15, 9, 11, 58], Operations: []
Exploring Operation: 15+58=73, Resulting Numbers: [9, 11, 73]
Generated Node #0,0: 75:[9, 11, 73] Operation: 15+58=73
Moving to Node #0,0
Current State: 75:[9, 11, 73], Operations: ['15+58=73']
Exploring Operation: 11-9=2, Resulting Numbers: [73, 2]
Generated Node #0,0,0: 75:[73, 2] Operation: 11-9=2
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 75:[73, 2], Operations: ['15+58=73', '11-9=2']
Exploring Operation: 73+2=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Moving to Node #0
Current State: 75:[15, 9, 11, 58], Operations: []
Exploring Operation: 15+58=73, Resulting Numbers: [9, 11, 73]
Generated Node #0,0: 75:[9, 11, 73] Operation: 15+58=73
Moving to Node #0,0
Current State: 75:[9, 11, 73], Operations: ['15+58=73']
Exploring Operation: 11-9=2, Resulting Numbers: [73, 2]
Generated Node #0,0,0: 75:[73, 2] Operation: 11-9=2
Moving to Node #0,0,0
Current State: 75:[73, 2], Operations: ['15+58=73', '11-9=2']
Exploring Operation: 73+2=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
48,
4,
68,
40
] | 70 | [
"48-40=8",
"8/4=2",
"68+2=70"
] | Current State: 70:[48, 4, 68, 40], Operations: []
Exploring Operation: 48-40=8, Resulting Numbers: [4, 68, 8]
Generated Node #2: [4, 68, 8] from Operation: 48-40=8
Current State: 70:[4, 68, 8], Operations: ['48-40=8']
Exploring Operation: 8/4=2, Resulting Numbers: [68, 2]
Generated Node #3: [68, 2] from Operation: 8/4=2
Current State: 70:[68, 2], Operations: ['48-40=8', '8/4=2']
Exploring Operation: 68+2=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[48, 4, 68, 40], Operations: []
Exploring Operation: 48-40=8, Resulting Numbers: [4, 68, 8]
Generated Node #0,0: 70:[4, 68, 8] Operation: 48-40=8
Exploring Operation: 68-48=20, Resulting Numbers: [4, 40, 20]
Generated Node #0,1: 70:[4, 40, 20] Operation: 68-48=20
Exploring Operation: 48/4=12, Resulting Numbers: [68, 40, 12]
Generated Node #0,2: 70:[68, 40, 12] Operation: 48/4=12
Moving to Node #0,0
Current State: 70:[4, 68, 8], Operations: ['48-40=8']
Exploring Operation: 4+68=72, Resulting Numbers: [8, 72]
Generated Node #0,0,0: 70:[8, 72] Operation: 4+68=72
Exploring Operation: 8/4=2, Resulting Numbers: [68, 2]
Generated Node #0,0,1: 70:[68, 2] Operation: 8/4=2
Exploring Operation: 8-4=4, Resulting Numbers: [68, 4]
Generated Node #0,0,2: 70:[68, 4] Operation: 8-4=4
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 70:[68, 2], Operations: ['48-40=8', '8/4=2']
Exploring Operation: 68-2=66, Resulting Numbers: [66]
66,70 unequal: No Solution
Exploring Operation: 68+2=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Moving to Node #0
Current State: 70:[48, 4, 68, 40], Operations: []
Exploring Operation: 48-40=8, Resulting Numbers: [4, 68, 8]
Generated Node #0,0: 70:[4, 68, 8] Operation: 48-40=8
Moving to Node #0,0
Current State: 70:[4, 68, 8], Operations: ['48-40=8']
Exploring Operation: 8/4=2, Resulting Numbers: [68, 2]
Generated Node #0,0,1: 70:[68, 2] Operation: 8/4=2
Moving to Node #0,0,1
Current State: 70:[68, 2], Operations: ['48-40=8', '8/4=2']
Exploring Operation: 68+2=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | mult_heuristic |
[
66,
68,
29,
7
] | 43 | [
"68-66=2",
"7*2=14",
"29+14=43"
] | Current State: 43:[66, 68, 29, 7], Operations: []
Exploring Operation: 68-66=2, Resulting Numbers: [29, 7, 2]
Generated Node #2: [29, 7, 2] from Operation: 68-66=2
Current State: 43:[29, 7, 2], Operations: ['68-66=2']
Exploring Operation: 7*2=14, Resulting Numbers: [29, 14]
Generated Node #3: [29, 14] from Operation: 7*2=14
Current State: 43:[29, 14], Operations: ['68-66=2', '7*2=14']
Exploring Operation: 29+14=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[66, 68, 29, 7], Operations: []
Exploring Operation: 66-7=59, Resulting Numbers: [68, 29, 59]
Generated Node #0,0: 43:[68, 29, 59] Operation: 66-7=59
Exploring Operation: 68-7=61, Resulting Numbers: [66, 29, 61]
Generated Node #0,1: 43:[66, 29, 61] Operation: 68-7=61
Moving to Node #0,0
Current State: 43:[68, 29, 59], Operations: ['66-7=59']
Exploring Operation: 59-29=30, Resulting Numbers: [68, 30]
Generated Node #0,0,0: 43:[68, 30] Operation: 59-29=30
Exploring Operation: 68-29=39, Resulting Numbers: [59, 39]
Generated Node #0,0,1: 43:[59, 39] Operation: 68-29=39
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 43:[59, 39], Operations: ['66-7=59', '68-29=39']
Exploring Operation: 59-39=20, Resulting Numbers: [20]
20,43 unequal: No Solution
Exploring Operation: 59+39=98, Resulting Numbers: [98]
98,43 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 #0,0,0
Current State: 43:[68, 30], Operations: ['66-7=59', '59-29=30']
Exploring Operation: 68+30=98, Resulting Numbers: [98]
98,43 unequal: No Solution
Exploring Operation: 68-30=38, Resulting Numbers: [38]
38,43 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: 43:[66, 29, 61], Operations: ['68-7=61']
Exploring Operation: 66-29=37, Resulting Numbers: [61, 37]
Generated Node #0,1,0: 43:[61, 37] Operation: 66-29=37
Exploring Operation: 61-29=32, Resulting Numbers: [66, 32]
Generated Node #0,1,1: 43:[66, 32] Operation: 61-29=32
Moving to Node #0,1,0
Current State: 43:[61, 37], Operations: ['68-7=61', '66-29=37']
Exploring Operation: 61+37=98, Resulting Numbers: [98]
98,43 unequal: No Solution
Exploring Operation: 61-37=24, Resulting Numbers: [24]
24,43 unequal: No Solution
Moving to Node #0,1,1
Current State: 43:[66, 32], Operations: ['68-7=61', '61-29=32']
Exploring Operation: 66-32=34, Resulting Numbers: [34]
34,43 unequal: No Solution
Exploring Operation: 66+32=98, Resulting Numbers: [98]
98,43 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
92,
23,
45,
21
] | 94 | [
"92-45=47",
"23-21=2",
"47*2=94"
] | Current State: 94:[92, 23, 45, 21], Operations: []
Exploring Operation: 92-45=47, Resulting Numbers: [23, 21, 47]
Generated Node #2: [23, 21, 47] from Operation: 92-45=47
Current State: 94:[23, 21, 47], Operations: ['92-45=47']
Exploring Operation: 23-21=2, Resulting Numbers: [47, 2]
Generated Node #3: [47, 2] from Operation: 23-21=2
Current State: 94:[47, 2], Operations: ['92-45=47', '23-21=2']
Exploring Operation: 47*2=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[92, 23, 45, 21], Operations: []
Exploring Operation: 23-21=2, Resulting Numbers: [92, 45, 2]
Generated Node #0,0: 94:[92, 45, 2] Operation: 23-21=2
Exploring Operation: 23+21=44, Resulting Numbers: [92, 45, 44]
Generated Node #0,1: 94:[92, 45, 44] Operation: 23+21=44
Exploring Operation: 92/23=4, Resulting Numbers: [45, 21, 4]
Generated Node #0,2: 94:[45, 21, 4] Operation: 92/23=4
Exploring Operation: 92-45=47, Resulting Numbers: [23, 21, 47]
Generated Node #0,3: 94:[23, 21, 47] Operation: 92-45=47
Moving to Node #0,0
Current State: 94:[92, 45, 2], Operations: ['23-21=2']
Exploring Operation: 92+2=94, Resulting Numbers: [45, 94]
Generated Node #0,0,0: 94:[45, 94] Operation: 92+2=94
Exploring Operation: 45+2=47, Resulting Numbers: [92, 47]
Generated Node #0,0,1: 94:[92, 47] Operation: 45+2=47
Exploring Operation: 92/2=46, Resulting Numbers: [45, 46]
Generated Node #0,0,2: 94:[45, 46] Operation: 92/2=46
Exploring Operation: 92-45=47, Resulting Numbers: [2, 47]
Generated Node #0,0,3: 94:[2, 47] Operation: 92-45=47
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 94:[2, 47], Operations: ['23-21=2', '92-45=47']
Exploring Operation: 2+47=49, Resulting Numbers: [49]
49,94 unequal: No Solution
Exploring Operation: 47-2=45, Resulting Numbers: [45]
45,94 unequal: No Solution
Exploring Operation: 2*47=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Moving to Node #0
Current State: 94:[92, 23, 45, 21], Operations: []
Exploring Operation: 23-21=2, Resulting Numbers: [92, 45, 2]
Generated Node #0,0: 94:[92, 45, 2] Operation: 23-21=2
Moving to Node #0,0
Current State: 94:[92, 45, 2], Operations: ['23-21=2']
Exploring Operation: 92-45=47, Resulting Numbers: [2, 47]
Generated Node #0,0,3: 94:[2, 47] Operation: 92-45=47
Moving to Node #0,0,3
Current State: 94:[2, 47], Operations: ['23-21=2', '92-45=47']
Exploring Operation: 2*47=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_4 | sum_heuristic |
[
4,
70,
41,
82
] | 44 | [
"82-70=12",
"12/4=3",
"41+3=44"
] | Current State: 44:[4, 70, 41, 82], Operations: []
Exploring Operation: 82-70=12, Resulting Numbers: [4, 41, 12]
Generated Node #2: [4, 41, 12] from Operation: 82-70=12
Current State: 44:[4, 41, 12], Operations: ['82-70=12']
Exploring Operation: 12/4=3, Resulting Numbers: [41, 3]
Generated Node #3: [41, 3] from Operation: 12/4=3
Current State: 44:[41, 3], Operations: ['82-70=12', '12/4=3']
Exploring Operation: 41+3=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[4, 70, 41, 82], Operations: []
Exploring Operation: 70-41=29, Resulting Numbers: [4, 82, 29]
Generated Node #0,0: 44:[4, 82, 29] Operation: 70-41=29
Exploring Operation: 82-41=41, Resulting Numbers: [4, 70, 41]
Generated Node #0,1: 44:[4, 70, 41] Operation: 82-41=41
Exploring Operation: 82-70=12, Resulting Numbers: [4, 41, 12]
Generated Node #0,2: 44:[4, 41, 12] Operation: 82-70=12
Exploring Operation: 70-4=66, Resulting Numbers: [41, 82, 66]
Generated Node #0,3: 44:[41, 82, 66] Operation: 70-4=66
Exploring Operation: 82/41=2, Resulting Numbers: [4, 70, 2]
Generated Node #0,4: 44:[4, 70, 2] Operation: 82/41=2
Moving to Node #0,2
Current State: 44:[4, 41, 12], Operations: ['82-70=12']
Exploring Operation: 12/4=3, Resulting Numbers: [41, 3]
Generated Node #0,2,0: 44:[41, 3] Operation: 12/4=3
Exploring Operation: 4*12=48, Resulting Numbers: [41, 48]
Generated Node #0,2,1: 44:[41, 48] Operation: 4*12=48
Exploring Operation: 4+41=45, Resulting Numbers: [12, 45]
Generated Node #0,2,2: 44:[12, 45] Operation: 4+41=45
Exploring Operation: 41-12=29, Resulting Numbers: [4, 29]
Generated Node #0,2,3: 44:[4, 29] Operation: 41-12=29
Exploring Operation: 12-4=8, Resulting Numbers: [41, 8]
Generated Node #0,2,4: 44:[41, 8] Operation: 12-4=8
Moving to Node #0,4
Current State: 44:[4, 70, 2], Operations: ['82/41=2']
Exploring Operation: 4-2=2, Resulting Numbers: [70, 2]
Generated Node #0,4,0: 44:[70, 2] Operation: 4-2=2
Exploring Operation: 70-4=66, Resulting Numbers: [2, 66]
Generated Node #0,4,1: 44:[2, 66] Operation: 70-4=66
Exploring Operation: 70-2=68, Resulting Numbers: [4, 68]
Generated Node #0,4,2: 44:[4, 68] Operation: 70-2=68
Exploring Operation: 4/2=2, Resulting Numbers: [70, 2]
Generated Node #0,4,3: 44:[70, 2] Operation: 4/2=2
Exploring Operation: 70/2=35, Resulting Numbers: [4, 35]
Generated Node #0,4,4: 44:[4, 35] Operation: 70/2=35
Moving to Node #0,1
Current State: 44:[4, 70, 41], Operations: ['82-41=41']
Exploring Operation: 70-41=29, Resulting Numbers: [4, 29]
Generated Node #0,1,0: 44:[4, 29] Operation: 70-41=29
Exploring Operation: 41-4=37, Resulting Numbers: [70, 37]
Generated Node #0,1,1: 44:[70, 37] Operation: 41-4=37
Exploring Operation: 4+41=45, Resulting Numbers: [70, 45]
Generated Node #0,1,2: 44:[70, 45] Operation: 4+41=45
Exploring Operation: 70-4=66, Resulting Numbers: [41, 66]
Generated Node #0,1,3: 44:[41, 66] Operation: 70-4=66
Exploring Operation: 4+70=74, Resulting Numbers: [41, 74]
Generated Node #0,1,4: 44:[41, 74] Operation: 4+70=74
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 44:[4, 29], Operations: ['82-41=41', '70-41=29']
Exploring Operation: 4*29=116, Resulting Numbers: [116]
116,44 unequal: No Solution
Exploring Operation: 4+29=33, Resulting Numbers: [33]
33,44 unequal: No Solution
Exploring Operation: 29-4=25, Resulting Numbers: [25]
25,44 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: 44:[41, 66], Operations: ['82-41=41', '70-4=66']
Exploring Operation: 41+66=107, Resulting Numbers: [107]
107,44 unequal: No Solution
Exploring Operation: 41*66=2706, Resulting Numbers: [2706]
2706,44 unequal: No Solution
Exploring Operation: 66-41=25, Resulting Numbers: [25]
25,44 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: 44:[70, 45], Operations: ['82-41=41', '4+41=45']
Exploring Operation: 70*45=3150, Resulting Numbers: [3150]
3150,44 unequal: No Solution
Exploring Operation: 70+45=115, Resulting Numbers: [115]
115,44 unequal: No Solution
Exploring Operation: 70-45=25, Resulting Numbers: [25]
25,44 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: 44:[70, 37], Operations: ['82-41=41', '41-4=37']
Exploring Operation: 70-37=33, Resulting Numbers: [33]
33,44 unequal: No Solution
Exploring Operation: 70+37=107, Resulting Numbers: [107]
107,44 unequal: No Solution
Exploring Operation: 70*37=2590, Resulting Numbers: [2590]
2590,44 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: 44:[41, 74], Operations: ['82-41=41', '4+70=74']
Exploring Operation: 74-41=33, Resulting Numbers: [33]
33,44 unequal: No Solution
Exploring Operation: 41*74=3034, Resulting Numbers: [3034]
3034,44 unequal: No Solution
Exploring Operation: 41+74=115, Resulting Numbers: [115]
115,44 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: 44:[4, 82, 29], Operations: ['70-41=29']
Exploring Operation: 4+82=86, Resulting Numbers: [29, 86]
Generated Node #0,0,0: 44:[29, 86] Operation: 4+82=86
Exploring Operation: 4+29=33, Resulting Numbers: [82, 33]
Generated Node #0,0,1: 44:[82, 33] Operation: 4+29=33
Exploring Operation: 82-29=53, Resulting Numbers: [4, 53]
Generated Node #0,0,2: 44:[4, 53] Operation: 82-29=53
Exploring Operation: 82-4=78, Resulting Numbers: [29, 78]
Generated Node #0,0,3: 44:[29, 78] Operation: 82-4=78
Exploring Operation: 29-4=25, Resulting Numbers: [82, 25]
Generated Node #0,0,4: 44:[82, 25] Operation: 29-4=25
Moving to Node #0,3
Current State: 44:[41, 82, 66], Operations: ['70-4=66']
Exploring Operation: 66-41=25, Resulting Numbers: [82, 25]
Generated Node #0,3,0: 44:[82, 25] Operation: 66-41=25
Exploring Operation: 82-41=41, Resulting Numbers: [66, 41]
Generated Node #0,3,1: 44:[66, 41] Operation: 82-41=41
Exploring Operation: 82/41=2, Resulting Numbers: [66, 2]
Generated Node #0,3,2: 44:[66, 2] Operation: 82/41=2
Exploring Operation: 41+82=123, Resulting Numbers: [66, 123]
Generated Node #0,3,3: 44:[66, 123] Operation: 41+82=123
Exploring Operation: 82-66=16, Resulting Numbers: [41, 16]
Generated Node #0,3,4: 44:[41, 16] Operation: 82-66=16
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 44:[41, 16], Operations: ['70-4=66', '82-66=16']
Exploring Operation: 41*16=656, Resulting Numbers: [656]
656,44 unequal: No Solution
Exploring Operation: 41+16=57, Resulting Numbers: [57]
57,44 unequal: No Solution
Exploring Operation: 41-16=25, Resulting Numbers: [25]
25,44 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: 44:[66, 2], Operations: ['70-4=66', '82/41=2']
Exploring Operation: 66+2=68, Resulting Numbers: [68]
68,44 unequal: No Solution
Exploring Operation: 66/2=33, Resulting Numbers: [33]
33,44 unequal: No Solution
Exploring Operation: 66-2=64, Resulting Numbers: [64]
64,44 unequal: No Solution
Exploring Operation: 66*2=132, Resulting Numbers: [132]
132,44 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: 44:[66, 41], Operations: ['70-4=66', '82-41=41']
Exploring Operation: 66-41=25, Resulting Numbers: [25]
25,44 unequal: No Solution
Exploring Operation: 66*41=2706, Resulting Numbers: [2706]
2706,44 unequal: No Solution
Exploring Operation: 66+41=107, Resulting Numbers: [107]
107,44 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: 44:[82, 25], Operations: ['70-4=66', '66-41=25']
Exploring Operation: 82+25=107, Resulting Numbers: [107]
107,44 unequal: No Solution
Exploring Operation: 82-25=57, Resulting Numbers: [57]
57,44 unequal: No Solution
Exploring Operation: 82*25=2050, Resulting Numbers: [2050]
2050,44 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: 44:[66, 123], Operations: ['70-4=66', '41+82=123']
Exploring Operation: 123-66=57, Resulting Numbers: [57]
57,44 unequal: No Solution
Exploring Operation: 66+123=189, Resulting Numbers: [189]
189,44 unequal: No Solution
Exploring Operation: 66*123=8118, Resulting Numbers: [8118]
8118,44 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: 44:[12, 45], Operations: ['82-70=12', '4+41=45']
Exploring Operation: 45-12=33, Resulting Numbers: [33]
33,44 unequal: No Solution
Exploring Operation: 12*45=540, Resulting Numbers: [540]
540,44 unequal: No Solution
Exploring Operation: 12+45=57, Resulting Numbers: [57]
57,44 unequal: No Solution
Moving to Node #0,2,0
Current State: 44:[41, 3], Operations: ['82-70=12', '12/4=3']
Exploring Operation: 41-3=38, Resulting Numbers: [38]
38,44 unequal: No Solution
Exploring Operation: 41*3=123, Resulting Numbers: [123]
123,44 unequal: No Solution
Exploring Operation: 41+3=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Moving to Node #0
Current State: 44:[4, 70, 41, 82], Operations: []
Exploring Operation: 82-70=12, Resulting Numbers: [4, 41, 12]
Generated Node #0,2: 44:[4, 41, 12] Operation: 82-70=12
Moving to Node #0,2
Current State: 44:[4, 41, 12], Operations: ['82-70=12']
Exploring Operation: 12/4=3, Resulting Numbers: [41, 3]
Generated Node #0,2,0: 44:[41, 3] Operation: 12/4=3
Moving to Node #0,2,0
Current State: 44:[41, 3], Operations: ['82-70=12', '12/4=3']
Exploring Operation: 41+3=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 0.938368 | hs_5 | sum_heuristic |
[
11,
18,
61,
67
] | 70 | [
"11*18=198",
"61+67=128",
"198-128=70"
] | Current State: 70:[11, 18, 61, 67], Operations: []
Exploring Operation: 11*18=198, Resulting Numbers: [61, 67, 198]
Generated Node #2: [61, 67, 198] from Operation: 11*18=198
Current State: 70:[61, 67, 198], Operations: ['11*18=198']
Exploring Operation: 61+67=128, Resulting Numbers: [198, 128]
Generated Node #3: [198, 128] from Operation: 61+67=128
Current State: 70:[198, 128], Operations: ['11*18=198', '61+67=128']
Exploring Operation: 198-128=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[11, 18, 61, 67], Operations: []
Exploring Operation: 18-11=7, Resulting Numbers: [61, 67, 7]
Generated Node #0,0: 70:[61, 67, 7] Operation: 18-11=7
Exploring Operation: 67-61=6, Resulting Numbers: [11, 18, 6]
Generated Node #0,1: 70:[11, 18, 6] Operation: 67-61=6
Exploring Operation: 11+61=72, Resulting Numbers: [18, 67, 72]
Generated Node #0,2: 70:[18, 67, 72] Operation: 11+61=72
Moving to Node #0,1
Current State: 70:[11, 18, 6], Operations: ['67-61=6']
Exploring Operation: 18-11=7, Resulting Numbers: [6, 7]
Generated Node #0,1,0: 70:[6, 7] Operation: 18-11=7
Exploring Operation: 18-6=12, Resulting Numbers: [11, 12]
Generated Node #0,1,1: 70:[11, 12] Operation: 18-6=12
Exploring Operation: 18/6=3, Resulting Numbers: [11, 3]
Generated Node #0,1,2: 70:[11, 3] Operation: 18/6=3
Moving to Node #0,2
Current State: 70:[18, 67, 72], Operations: ['11+61=72']
Exploring Operation: 72/18=4, Resulting Numbers: [67, 4]
Generated Node #0,2,0: 70:[67, 4] Operation: 72/18=4
Exploring Operation: 67-18=49, Resulting Numbers: [72, 49]
Generated Node #0,2,1: 70:[72, 49] Operation: 67-18=49
Exploring Operation: 72-67=5, Resulting Numbers: [18, 5]
Generated Node #0,2,2: 70:[18, 5] Operation: 72-67=5
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 70:[67, 4], Operations: ['11+61=72', '72/18=4']
Exploring Operation: 67-4=63, Resulting Numbers: [63]
63,70 unequal: No Solution
Exploring Operation: 67*4=268, Resulting Numbers: [268]
268,70 unequal: No Solution
Exploring Operation: 67+4=71, Resulting Numbers: [71]
71,70 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 #0,2,2
Current State: 70:[18, 5], Operations: ['11+61=72', '72-67=5']
Exploring Operation: 18-5=13, Resulting Numbers: [13]
13,70 unequal: No Solution
Exploring Operation: 18*5=90, Resulting Numbers: [90]
90,70 unequal: No Solution
Exploring Operation: 18+5=23, Resulting Numbers: [23]
23,70 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:[72, 49], Operations: ['11+61=72', '67-18=49']
Exploring Operation: 72-49=23, Resulting Numbers: [23]
23,70 unequal: No Solution
Exploring Operation: 72*49=3528, Resulting Numbers: [3528]
3528,70 unequal: No Solution
Exploring Operation: 72+49=121, Resulting Numbers: [121]
121,70 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: 70:[61, 67, 7], Operations: ['18-11=7']
Exploring Operation: 67-61=6, Resulting Numbers: [7, 6]
Generated Node #0,0,0: 70:[7, 6] Operation: 67-61=6
Exploring Operation: 61+7=68, Resulting Numbers: [67, 68]
Generated Node #0,0,1: 70:[67, 68] Operation: 61+7=68
Exploring Operation: 67+7=74, Resulting Numbers: [61, 74]
Generated Node #0,0,2: 70:[61, 74] Operation: 67+7=74
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 70:[7, 6], Operations: ['18-11=7', '67-61=6']
Exploring Operation: 7-6=1, Resulting Numbers: [1]
1,70 unequal: No Solution
Exploring Operation: 7+6=13, Resulting Numbers: [13]
13,70 unequal: No Solution
Exploring Operation: 7*6=42, Resulting Numbers: [42]
42,70 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:[67, 68], Operations: ['18-11=7', '61+7=68']
Exploring Operation: 67+68=135, Resulting Numbers: [135]
135,70 unequal: No Solution
Exploring Operation: 67*68=4556, Resulting Numbers: [4556]
4556,70 unequal: No Solution
Exploring Operation: 68-67=1, Resulting Numbers: [1]
1,70 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:[61, 74], Operations: ['18-11=7', '67+7=74']
Exploring Operation: 61+74=135, Resulting Numbers: [135]
135,70 unequal: No Solution
Exploring Operation: 61*74=4514, Resulting Numbers: [4514]
4514,70 unequal: No Solution
Exploring Operation: 74-61=13, Resulting Numbers: [13]
13,70 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: 70:[6, 7], Operations: ['67-61=6', '18-11=7']
Exploring Operation: 6*7=42, Resulting Numbers: [42]
42,70 unequal: No Solution
Exploring Operation: 6+7=13, Resulting Numbers: [13]
13,70 unequal: No Solution
Exploring Operation: 7-6=1, Resulting Numbers: [1]
1,70 unequal: No Solution
Moving to Node #0,1,2
Current State: 70:[11, 3], Operations: ['67-61=6', '18/6=3']
Exploring Operation: 11-3=8, Resulting Numbers: [8]
8,70 unequal: No Solution
Exploring Operation: 11*3=33, Resulting Numbers: [33]
33,70 unequal: No Solution
Exploring Operation: 11+3=14, Resulting Numbers: [14]
14,70 unequal: No Solution
Moving to Node #0,1,1
Current State: 70:[11, 12], Operations: ['67-61=6', '18-6=12']
Exploring Operation: 12-11=1, Resulting Numbers: [1]
1,70 unequal: No Solution
Exploring Operation: 11+12=23, Resulting Numbers: [23]
23,70 unequal: No Solution
Exploring Operation: 11*12=132, Resulting Numbers: [132]
132,70 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
22,
11,
22,
3
] | 88 | [
"22*11=242",
"22+242=264",
"264/3=88"
] | Current State: 88:[22, 11, 22, 3], Operations: []
Exploring Operation: 22*11=242, Resulting Numbers: [3, 242]
Generated Node #2: [3, 242] from Operation: 22*11=242
Current State: 88:[3, 242], Operations: ['22*11=242']
Exploring Operation: 22+242=264, Resulting Numbers: [3, 264]
Generated Node #3: [3, 264] from Operation: 22+242=264
Current State: 88:[3, 264], Operations: ['22*11=242', '22+242=264']
Exploring Operation: 264/3=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[22, 11, 22, 3], Operations: []
Exploring Operation: 22/11=2, Resulting Numbers: [22, 3, 2]
Generated Node #0,0: 88:[22, 3, 2] Operation: 22/11=2
Exploring Operation: 22-11=11, Resulting Numbers: [22, 3, 11]
Generated Node #0,1: 88:[22, 3, 11] Operation: 22-11=11
Exploring Operation: 11-3=8, Resulting Numbers: [22, 22, 8]
Generated Node #0,2: 88:[22, 22, 8] Operation: 11-3=8
Moving to Node #0,2
Current State: 88:[22, 22, 8], Operations: ['11-3=8']
Exploring Operation: 22-22=0, Resulting Numbers: [8, 0]
Generated Node #0,2,0: 88:[8, 0] Operation: 22-22=0
Exploring Operation: 22+22=44, Resulting Numbers: [8, 44]
Generated Node #0,2,1: 88:[8, 44] Operation: 22+22=44
Exploring Operation: 22/22=1, Resulting Numbers: [8, 1]
Generated Node #0,2,2: 88:[8, 1] Operation: 22/22=1
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 88:[8, 44], Operations: ['11-3=8', '22+22=44']
Exploring Operation: 44-8=36, Resulting Numbers: [36]
36,88 unequal: No Solution
Exploring Operation: 8+44=52, Resulting Numbers: [52]
52,88 unequal: No Solution
Exploring Operation: 8*44=352, Resulting Numbers: [352]
352,88 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:[8, 1], Operations: ['11-3=8', '22/22=1']
Exploring Operation: 8*1=8, Resulting Numbers: [8]
8,88 unequal: No Solution
Exploring Operation: 8+1=9, Resulting Numbers: [9]
9,88 unequal: No Solution
Exploring Operation: 8/1=8, Resulting Numbers: [8]
8,88 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 #0,2,0
Current State: 88:[8, 0], Operations: ['11-3=8', '22-22=0']
Exploring Operation: 8*0=0, Resulting Numbers: [0]
0,88 unequal: No Solution
Exploring Operation: 8-0=8, Resulting Numbers: [8]
8,88 unequal: No Solution
Exploring Operation: 8+0=8, Resulting Numbers: [8]
8,88 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, 3, 2], Operations: ['22/11=2']
Exploring Operation: 3+2=5, Resulting Numbers: [22, 5]
Generated Node #0,0,0: 88:[22, 5] Operation: 3+2=5
Exploring Operation: 22/2=11, Resulting Numbers: [3, 11]
Generated Node #0,0,1: 88:[3, 11] Operation: 22/2=11
Exploring Operation: 22*2=44, Resulting Numbers: [3, 44]
Generated Node #0,0,2: 88:[3, 44] Operation: 22*2=44
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 88:[22, 5], Operations: ['22/11=2', '3+2=5']
Exploring Operation: 22-5=17, Resulting Numbers: [17]
17,88 unequal: No Solution
Exploring Operation: 22*5=110, Resulting Numbers: [110]
110,88 unequal: No Solution
Exploring Operation: 22+5=27, Resulting Numbers: [27]
27,88 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:[3, 11], Operations: ['22/11=2', '22/2=11']
Exploring Operation: 3*11=33, Resulting Numbers: [33]
33,88 unequal: No Solution
Exploring Operation: 3+11=14, Resulting Numbers: [14]
14,88 unequal: No Solution
Exploring Operation: 11-3=8, Resulting Numbers: [8]
8,88 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 #0,0,2
Current State: 88:[3, 44], Operations: ['22/11=2', '22*2=44']
Exploring Operation: 3*44=132, Resulting Numbers: [132]
132,88 unequal: No Solution
Exploring Operation: 3+44=47, Resulting Numbers: [47]
47,88 unequal: No Solution
Exploring Operation: 44-3=41, Resulting Numbers: [41]
41,88 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: 88:[22, 3, 11], Operations: ['22-11=11']
Exploring Operation: 22-11=11, Resulting Numbers: [3, 11]
Generated Node #0,1,0: 88:[3, 11] Operation: 22-11=11
Exploring Operation: 11-3=8, Resulting Numbers: [22, 8]
Generated Node #0,1,1: 88:[22, 8] Operation: 11-3=8
Exploring Operation: 22/11=2, Resulting Numbers: [3, 2]
Generated Node #0,1,2: 88:[3, 2] Operation: 22/11=2
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 88:[22, 8], Operations: ['22-11=11', '11-3=8']
Exploring Operation: 22-8=14, Resulting Numbers: [14]
14,88 unequal: No Solution
Exploring Operation: 22+8=30, Resulting Numbers: [30]
30,88 unequal: No Solution
Exploring Operation: 22*8=176, Resulting Numbers: [176]
176,88 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:[3, 11], Operations: ['22-11=11', '22-11=11']
Exploring Operation: 3*11=33, Resulting Numbers: [33]
33,88 unequal: No Solution
Exploring Operation: 11-3=8, Resulting Numbers: [8]
8,88 unequal: No Solution
Exploring Operation: 3+11=14, Resulting Numbers: [14]
14,88 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 #0,1,2
Current State: 88:[3, 2], Operations: ['22-11=11', '22/11=2']
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,88 unequal: No Solution
Exploring Operation: 3+2=5, Resulting Numbers: [5]
5,88 unequal: No Solution
Exploring Operation: 3*2=6, Resulting Numbers: [6]
6,88 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 |
[
63,
10,
8,
67
] | 21 | [
"63+67=130",
"130/10=13",
"8+13=21"
] | Current State: 21:[63, 10, 8, 67], Operations: []
Exploring Operation: 63+67=130, Resulting Numbers: [10, 8, 130]
Generated Node #2: [10, 8, 130] from Operation: 63+67=130
Current State: 21:[10, 8, 130], Operations: ['63+67=130']
Exploring Operation: 130/10=13, Resulting Numbers: [8, 13]
Generated Node #3: [8, 13] from Operation: 130/10=13
Current State: 21:[8, 13], Operations: ['63+67=130', '130/10=13']
Exploring Operation: 8+13=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[63, 10, 8, 67], Operations: []
Exploring Operation: 67-63=4, Resulting Numbers: [10, 8, 4]
Generated Node #0,0: 21:[10, 8, 4] Operation: 67-63=4
Exploring Operation: 67-10=57, Resulting Numbers: [63, 8, 57]
Generated Node #0,1: 21:[63, 8, 57] Operation: 67-10=57
Exploring Operation: 63-10=53, Resulting Numbers: [8, 67, 53]
Generated Node #0,2: 21:[8, 67, 53] Operation: 63-10=53
Exploring Operation: 63-8=55, Resulting Numbers: [10, 67, 55]
Generated Node #0,3: 21:[10, 67, 55] Operation: 63-8=55
Start Sub Search at level 1: Moving to Node #0,0
Current State: 21:[10, 8, 4], Operations: ['67-63=4']
Exploring Operation: 10-8=2, Resulting Numbers: [4, 2]
Generated Node #0,0,0: 21:[4, 2] Operation: 10-8=2
Exploring Operation: 8-4=4, Resulting Numbers: [10, 4]
Generated Node #0,0,1: 21:[10, 4] Operation: 8-4=4
Exploring Operation: 10-4=6, Resulting Numbers: [8, 6]
Generated Node #0,0,2: 21:[8, 6] Operation: 10-4=6
Exploring Operation: 10+8=18, Resulting Numbers: [4, 18]
Generated Node #0,0,3: 21:[4, 18] Operation: 10+8=18
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 21:[4, 2], Operations: ['67-63=4', '10-8=2']
Exploring Operation: 4+2=6, Resulting Numbers: [6]
6,21 unequal: No Solution
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,21 unequal: No Solution
Exploring Operation: 4*2=8, Resulting Numbers: [8]
8,21 unequal: No Solution
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,21 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: 21:[8, 6], Operations: ['67-63=4', '10-4=6']
Exploring Operation: 8+6=14, Resulting Numbers: [14]
14,21 unequal: No Solution
Exploring Operation: 8*6=48, Resulting Numbers: [48]
48,21 unequal: No Solution
Exploring Operation: 8-6=2, Resulting Numbers: [2]
2,21 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: 21:[10, 4], Operations: ['67-63=4', '8-4=4']
Exploring Operation: 10*4=40, Resulting Numbers: [40]
40,21 unequal: No Solution
Exploring Operation: 10+4=14, Resulting Numbers: [14]
14,21 unequal: No Solution
Exploring Operation: 10-4=6, Resulting Numbers: [6]
6,21 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: 21:[4, 18], Operations: ['67-63=4', '10+8=18']
Exploring Operation: 4*18=72, Resulting Numbers: [72]
72,21 unequal: No Solution
Exploring Operation: 18-4=14, Resulting Numbers: [14]
14,21 unequal: No Solution
Exploring Operation: 4+18=22, Resulting Numbers: [22]
22,21 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: 21:[63, 8, 57], Operations: ['67-10=57']
Exploring Operation: 63-8=55, Resulting Numbers: [57, 55]
Generated Node #0,1,0: 21:[57, 55] Operation: 63-8=55
Exploring Operation: 63-57=6, Resulting Numbers: [8, 6]
Generated Node #0,1,1: 21:[8, 6] Operation: 63-57=6
Exploring Operation: 57-8=49, Resulting Numbers: [63, 49]
Generated Node #0,1,2: 21:[63, 49] Operation: 57-8=49
Exploring Operation: 63+8=71, Resulting Numbers: [57, 71]
Generated Node #0,1,3: 21:[57, 71] Operation: 63+8=71
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 21:[8, 6], Operations: ['67-10=57', '63-57=6']
Exploring Operation: 8*6=48, Resulting Numbers: [48]
48,21 unequal: No Solution
Exploring Operation: 8-6=2, Resulting Numbers: [2]
2,21 unequal: No Solution
Exploring Operation: 8+6=14, Resulting Numbers: [14]
14,21 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: 21:[57, 55], Operations: ['67-10=57', '63-8=55']
Exploring Operation: 57+55=112, Resulting Numbers: [112]
112,21 unequal: No Solution
Exploring Operation: 57*55=3135, Resulting Numbers: [3135]
3135,21 unequal: No Solution
Exploring Operation: 57-55=2, Resulting Numbers: [2]
2,21 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: 21:[63, 49], Operations: ['67-10=57', '57-8=49']
Exploring Operation: 63-49=14, Resulting Numbers: [14]
14,21 unequal: No Solution
Exploring Operation: 63+49=112, Resulting Numbers: [112]
112,21 unequal: No Solution
Exploring Operation: 63*49=3087, Resulting Numbers: [3087]
3087,21 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: 21:[57, 71], Operations: ['67-10=57', '63+8=71']
Exploring Operation: 57*71=4047, Resulting Numbers: [4047]
4047,21 unequal: No Solution
Exploring Operation: 57+71=128, Resulting Numbers: [128]
128,21 unequal: No Solution
Exploring Operation: 71-57=14, Resulting Numbers: [14]
14,21 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: 21:[8, 67, 53], Operations: ['63-10=53']
Exploring Operation: 67-8=59, Resulting Numbers: [53, 59]
Generated Node #0,2,0: 21:[53, 59] Operation: 67-8=59
Exploring Operation: 67-53=14, Resulting Numbers: [8, 14]
Generated Node #0,2,1: 21:[8, 14] Operation: 67-53=14
Exploring Operation: 53-8=45, Resulting Numbers: [67, 45]
Generated Node #0,2,2: 21:[67, 45] Operation: 53-8=45
Exploring Operation: 8+67=75, Resulting Numbers: [53, 75]
Generated Node #0,2,3: 21:[53, 75] Operation: 8+67=75
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 21:[8, 14], Operations: ['63-10=53', '67-53=14']
Exploring Operation: 8*14=112, Resulting Numbers: [112]
112,21 unequal: No Solution
Exploring Operation: 14-8=6, Resulting Numbers: [6]
6,21 unequal: No Solution
Exploring Operation: 8+14=22, Resulting Numbers: [22]
22,21 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: 21:[53, 59], Operations: ['63-10=53', '67-8=59']
Exploring Operation: 53+59=112, Resulting Numbers: [112]
112,21 unequal: No Solution
Exploring Operation: 53*59=3127, Resulting Numbers: [3127]
3127,21 unequal: No Solution
Exploring Operation: 59-53=6, Resulting Numbers: [6]
6,21 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: 21:[67, 45], Operations: ['63-10=53', '53-8=45']
Exploring Operation: 67-45=22, Resulting Numbers: [22]
22,21 unequal: No Solution
Exploring Operation: 67+45=112, Resulting Numbers: [112]
112,21 unequal: No Solution
Exploring Operation: 67*45=3015, Resulting Numbers: [3015]
3015,21 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: 21:[53, 75], Operations: ['63-10=53', '8+67=75']
Exploring Operation: 75-53=22, Resulting Numbers: [22]
22,21 unequal: No Solution
Exploring Operation: 53*75=3975, Resulting Numbers: [3975]
3975,21 unequal: No Solution
Exploring Operation: 53+75=128, Resulting Numbers: [128]
128,21 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: 21:[10, 67, 55], Operations: ['63-8=55']
Exploring Operation: 67-10=57, Resulting Numbers: [55, 57]
Generated Node #0,3,0: 21:[55, 57] Operation: 67-10=57
Exploring Operation: 67-55=12, Resulting Numbers: [10, 12]
Generated Node #0,3,1: 21:[10, 12] Operation: 67-55=12
Exploring Operation: 10+67=77, Resulting Numbers: [55, 77]
Generated Node #0,3,2: 21:[55, 77] Operation: 10+67=77
Exploring Operation: 55-10=45, Resulting Numbers: [67, 45]
Generated Node #0,3,3: 21:[67, 45] Operation: 55-10=45
Moving to Node #0,3,1
Current State: 21:[10, 12], Operations: ['63-8=55', '67-55=12']
Exploring Operation: 10*12=120, Resulting Numbers: [120]
120,21 unequal: No Solution
Exploring Operation: 10+12=22, Resulting Numbers: [22]
22,21 unequal: No Solution
Exploring Operation: 12-10=2, Resulting Numbers: [2]
2,21 unequal: No Solution
Moving to Node #0,3,3
Current State: 21:[67, 45], Operations: ['63-8=55', '55-10=45']
Exploring Operation: 67*45=3015, Resulting Numbers: [3015]
3015,21 unequal: No Solution
Exploring Operation: 67+45=112, Resulting Numbers: [112]
112,21 unequal: No Solution
Exploring Operation: 67-45=22, Resulting Numbers: [22]
22,21 unequal: No Solution
Moving to Node #0,3,0
Current State: 21:[55, 57], Operations: ['63-8=55', '67-10=57']
Exploring Operation: 55*57=3135, Resulting Numbers: [3135]
3135,21 unequal: No Solution
Exploring Operation: 57-55=2, Resulting Numbers: [2]
2,21 unequal: No Solution
Exploring Operation: 55+57=112, Resulting Numbers: [112]
112,21 unequal: No Solution
Moving to Node #0,3,2
Current State: 21:[55, 77], Operations: ['63-8=55', '10+67=77']
Exploring Operation: 55*77=4235, Resulting Numbers: [4235]
4235,21 unequal: No Solution
Exploring Operation: 77-55=22, Resulting Numbers: [22]
22,21 unequal: No Solution
Exploring Operation: 55+77=132, Resulting Numbers: [132]
132,21 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 |
[
38,
67,
2,
23
] | 32 | [
"38*2=76",
"67-23=44",
"76-44=32"
] | Current State: 32:[38, 67, 2, 23], Operations: []
Exploring Operation: 38*2=76, Resulting Numbers: [67, 23, 76]
Generated Node #2: [67, 23, 76] from Operation: 38*2=76
Current State: 32:[67, 23, 76], Operations: ['38*2=76']
Exploring Operation: 67-23=44, Resulting Numbers: [76, 44]
Generated Node #3: [76, 44] from Operation: 67-23=44
Current State: 32:[76, 44], Operations: ['38*2=76', '67-23=44']
Exploring Operation: 76-44=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[38, 67, 2, 23], Operations: []
Exploring Operation: 67-38=29, Resulting Numbers: [2, 23, 29]
Generated Node #0,0: 32:[2, 23, 29] Operation: 67-38=29
Start Sub Search at level 1: Moving to Node #0,0
Current State: 32:[2, 23, 29], Operations: ['67-38=29']
Exploring Operation: 29-23=6, Resulting Numbers: [2, 6]
Generated Node #0,0,0: 32:[2, 6] Operation: 29-23=6
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 32:[2, 6], Operations: ['67-38=29', '29-23=6']
Exploring Operation: 2+6=8, Resulting Numbers: [8]
8,32 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 |
[
96,
69,
83,
80
] | 81 | [
"96-69=27",
"83-80=3",
"27*3=81"
] | Current State: 81:[96, 69, 83, 80], Operations: []
Exploring Operation: 96-69=27, Resulting Numbers: [83, 80, 27]
Generated Node #2: [83, 80, 27] from Operation: 96-69=27
Current State: 81:[83, 80, 27], Operations: ['96-69=27']
Exploring Operation: 83-80=3, Resulting Numbers: [27, 3]
Generated Node #3: [27, 3] from Operation: 83-80=3
Current State: 81:[27, 3], Operations: ['96-69=27', '83-80=3']
Exploring Operation: 27*3=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[96, 69, 83, 80], Operations: []
Exploring Operation: 80-69=11, Resulting Numbers: [96, 83, 11]
Generated Node #0,0: 81:[96, 83, 11] Operation: 80-69=11
Exploring Operation: 96-80=16, Resulting Numbers: [69, 83, 16]
Generated Node #0,1: 81:[69, 83, 16] Operation: 96-80=16
Exploring Operation: 96-83=13, Resulting Numbers: [69, 80, 13]
Generated Node #0,2: 81:[69, 80, 13] Operation: 96-83=13
Exploring Operation: 96-69=27, Resulting Numbers: [83, 80, 27]
Generated Node #0,3: 81:[83, 80, 27] Operation: 96-69=27
Moving to Node #0,3
Current State: 81:[83, 80, 27], Operations: ['96-69=27']
Exploring Operation: 83-80=3, Resulting Numbers: [27, 3]
Generated Node #0,3,0: 81:[27, 3] Operation: 83-80=3
Exploring Operation: 83-27=56, Resulting Numbers: [80, 56]
Generated Node #0,3,1: 81:[80, 56] Operation: 83-27=56
Exploring Operation: 80-27=53, Resulting Numbers: [83, 53]
Generated Node #0,3,2: 81:[83, 53] Operation: 80-27=53
Exploring Operation: 80+27=107, Resulting Numbers: [83, 107]
Generated Node #0,3,3: 81:[83, 107] Operation: 80+27=107
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 81:[27, 3], Operations: ['96-69=27', '83-80=3']
Exploring Operation: 27/3=9, Resulting Numbers: [9]
9,81 unequal: No Solution
Exploring Operation: 27*3=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Moving to Node #0
Current State: 81:[96, 69, 83, 80], Operations: []
Exploring Operation: 96-69=27, Resulting Numbers: [83, 80, 27]
Generated Node #0,3: 81:[83, 80, 27] Operation: 96-69=27
Moving to Node #0,3
Current State: 81:[83, 80, 27], Operations: ['96-69=27']
Exploring Operation: 83-80=3, Resulting Numbers: [27, 3]
Generated Node #0,3,0: 81:[27, 3] Operation: 83-80=3
Moving to Node #0,3,0
Current State: 81:[27, 3], Operations: ['96-69=27', '83-80=3']
Exploring Operation: 27*3=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_4 | mult_heuristic |
[
42,
23,
83,
74
] | 56 | [
"42+23=65",
"83-74=9",
"65-9=56"
] | Current State: 56:[42, 23, 83, 74], Operations: []
Exploring Operation: 42+23=65, Resulting Numbers: [83, 74, 65]
Generated Node #2: [83, 74, 65] from Operation: 42+23=65
Current State: 56:[83, 74, 65], Operations: ['42+23=65']
Exploring Operation: 83-74=9, Resulting Numbers: [65, 9]
Generated Node #3: [65, 9] from Operation: 83-74=9
Current State: 56:[65, 9], Operations: ['42+23=65', '83-74=9']
Exploring Operation: 65-9=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[42, 23, 83, 74], Operations: []
Exploring Operation: 83-74=9, Resulting Numbers: [42, 23, 9]
Generated Node #0,0: 56:[42, 23, 9] Operation: 83-74=9
Exploring Operation: 83-42=41, Resulting Numbers: [23, 74, 41]
Generated Node #0,1: 56:[23, 74, 41] Operation: 83-42=41
Exploring Operation: 74-42=32, Resulting Numbers: [23, 83, 32]
Generated Node #0,2: 56:[23, 83, 32] Operation: 74-42=32
Start Sub Search at level 1: Moving to Node #0,0
Current State: 56:[42, 23, 9], Operations: ['83-74=9']
Exploring Operation: 42+9=51, Resulting Numbers: [23, 51]
Generated Node #0,0,0: 56:[23, 51] Operation: 42+9=51
Exploring Operation: 42+23=65, Resulting Numbers: [9, 65]
Generated Node #0,0,1: 56:[9, 65] Operation: 42+23=65
Exploring Operation: 42-23=19, Resulting Numbers: [9, 19]
Generated Node #0,0,2: 56:[9, 19] Operation: 42-23=19
Moving to Node #0,0,2
Current State: 56:[9, 19], Operations: ['83-74=9', '42-23=19']
Exploring Operation: 9+19=28, Resulting Numbers: [28]
28,56 unequal: No Solution
Exploring Operation: 9*19=171, Resulting Numbers: [171]
171,56 unequal: No Solution
Exploring Operation: 19-9=10, Resulting Numbers: [10]
10,56 unequal: No Solution
Moving to Node #0,0,0
Current State: 56:[23, 51], Operations: ['83-74=9', '42+9=51']
Exploring Operation: 51-23=28, Resulting Numbers: [28]
28,56 unequal: No Solution
Exploring Operation: 23*51=1173, Resulting Numbers: [1173]
1173,56 unequal: No Solution
Exploring Operation: 23+51=74, Resulting Numbers: [74]
74,56 unequal: No Solution
Moving to Node #0,0,1
Current State: 56:[9, 65], Operations: ['83-74=9', '42+23=65']
Exploring Operation: 65-9=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Moving to Node #0
Current State: 56:[42, 23, 83, 74], Operations: []
Exploring Operation: 83-74=9, Resulting Numbers: [42, 23, 9]
Generated Node #0,0: 56:[42, 23, 9] Operation: 83-74=9
Moving to Node #0,0
Current State: 56:[42, 23, 9], Operations: ['83-74=9']
Exploring Operation: 42+23=65, Resulting Numbers: [9, 65]
Generated Node #0,0,1: 56:[9, 65] Operation: 42+23=65
Moving to Node #0,0,1
Current State: 56:[9, 65], Operations: ['83-74=9', '42+23=65']
Exploring Operation: 65-9=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_3 | sum_heuristic |
[
74,
14,
66,
10
] | 100 | [
"74+66=140",
"140/14=10",
"10*10=100"
] | Current State: 100:[74, 14, 66, 10], Operations: []
Exploring Operation: 74+66=140, Resulting Numbers: [14, 10, 140]
Generated Node #2: [14, 10, 140] from Operation: 74+66=140
Current State: 100:[14, 10, 140], Operations: ['74+66=140']
Exploring Operation: 140/14=10, Resulting Numbers: [10, 10]
Generated Node #3: [10, 10] from Operation: 140/14=10
Current State: 100:[10, 10], Operations: ['74+66=140', '140/14=10']
Exploring Operation: 10*10=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[74, 14, 66, 10], Operations: []
Exploring Operation: 74-14=60, Resulting Numbers: [66, 10, 60]
Generated Node #0,0: 100:[66, 10, 60] Operation: 74-14=60
Exploring Operation: 74-66=8, Resulting Numbers: [14, 10, 8]
Generated Node #0,1: 100:[14, 10, 8] Operation: 74-66=8
Start Sub Search at level 1: Moving to Node #0,1
Current State: 100:[14, 10, 8], Operations: ['74-66=8']
Exploring Operation: 14-10=4, Resulting Numbers: [8, 4]
Generated Node #0,1,0: 100:[8, 4] Operation: 14-10=4
Exploring Operation: 14-8=6, Resulting Numbers: [10, 6]
Generated Node #0,1,1: 100:[10, 6] Operation: 14-8=6
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 100:[10, 6], Operations: ['74-66=8', '14-8=6']
Exploring Operation: 10+6=16, Resulting Numbers: [16]
16,100 unequal: No Solution
Exploring Operation: 10-6=4, Resulting Numbers: [4]
4,100 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 #0,1,0
Current State: 100:[8, 4], Operations: ['74-66=8', '14-10=4']
Exploring Operation: 8/4=2, Resulting Numbers: [2]
2,100 unequal: No Solution
Exploring Operation: 8-4=4, Resulting Numbers: [4]
4,100 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:[66, 10, 60], Operations: ['74-14=60']
Exploring Operation: 66-60=6, Resulting Numbers: [10, 6]
Generated Node #0,0,0: 100:[10, 6] Operation: 66-60=6
Exploring Operation: 66-10=56, Resulting Numbers: [60, 56]
Generated Node #0,0,1: 100:[60, 56] Operation: 66-10=56
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 100:[10, 6], Operations: ['74-14=60', '66-60=6']
Exploring Operation: 10-6=4, Resulting Numbers: [4]
4,100 unequal: No Solution
Exploring Operation: 10+6=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 #0,0,1
Current State: 100:[60, 56], Operations: ['74-14=60', '66-10=56']
Exploring Operation: 60-56=4, Resulting Numbers: [4]
4,100 unequal: No Solution
Exploring Operation: 60+56=116, Resulting Numbers: [116]
116,100 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
No solution found.
| 0 | hs_2 | mult_heuristic |
[
94,
96,
10,
49
] | 61 | [
"96-94=2",
"10+49=59",
"2+59=61"
] | Current State: 61:[94, 96, 10, 49], Operations: []
Exploring Operation: 96-94=2, Resulting Numbers: [10, 49, 2]
Generated Node #2: [10, 49, 2] from Operation: 96-94=2
Current State: 61:[10, 49, 2], Operations: ['96-94=2']
Exploring Operation: 10+49=59, Resulting Numbers: [2, 59]
Generated Node #3: [2, 59] from Operation: 10+49=59
Current State: 61:[2, 59], Operations: ['96-94=2', '10+49=59']
Exploring Operation: 2+59=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[94, 96, 10, 49], Operations: []
Exploring Operation: 94-10=84, Resulting Numbers: [96, 49, 84]
Generated Node #0,0: 61:[96, 49, 84] Operation: 94-10=84
Exploring Operation: 10+49=59, Resulting Numbers: [94, 96, 59]
Generated Node #0,1: 61:[94, 96, 59] Operation: 10+49=59
Exploring Operation: 94+10=104, Resulting Numbers: [96, 49, 104]
Generated Node #0,2: 61:[96, 49, 104] Operation: 94+10=104
Exploring Operation: 96-10=86, Resulting Numbers: [94, 49, 86]
Generated Node #0,3: 61:[94, 49, 86] Operation: 96-10=86
Exploring Operation: 96+10=106, Resulting Numbers: [94, 49, 106]
Generated Node #0,4: 61:[94, 49, 106] Operation: 96+10=106
Start Sub Search at level 1: Moving to Node #0,0
Current State: 61:[96, 49, 84], Operations: ['94-10=84']
Exploring Operation: 96-84=12, Resulting Numbers: [49, 12]
Generated Node #0,0,0: 61:[49, 12] Operation: 96-84=12
Exploring Operation: 96-49=47, Resulting Numbers: [84, 47]
Generated Node #0,0,1: 61:[84, 47] Operation: 96-49=47
Exploring Operation: 49+84=133, Resulting Numbers: [96, 133]
Generated Node #0,0,2: 61:[96, 133] Operation: 49+84=133
Exploring Operation: 96+49=145, Resulting Numbers: [84, 145]
Generated Node #0,0,3: 61:[84, 145] Operation: 96+49=145
Exploring Operation: 84-49=35, Resulting Numbers: [96, 35]
Generated Node #0,0,4: 61:[96, 35] Operation: 84-49=35
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 61:[84, 47], Operations: ['94-10=84', '96-49=47']
Exploring Operation: 84+47=131, Resulting Numbers: [131]
131,61 unequal: No Solution
Exploring Operation: 84*47=3948, Resulting Numbers: [3948]
3948,61 unequal: No Solution
Exploring Operation: 84-47=37, Resulting Numbers: [37]
37,61 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: 61:[49, 12], Operations: ['94-10=84', '96-84=12']
Exploring Operation: 49*12=588, Resulting Numbers: [588]
588,61 unequal: No Solution
Exploring Operation: 49-12=37, Resulting Numbers: [37]
37,61 unequal: No Solution
Exploring Operation: 49+12=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Moving to Node #0
Current State: 61:[94, 96, 10, 49], Operations: []
Exploring Operation: 94-10=84, Resulting Numbers: [96, 49, 84]
Generated Node #0,0: 61:[96, 49, 84] Operation: 94-10=84
Moving to Node #0,0
Current State: 61:[96, 49, 84], Operations: ['94-10=84']
Exploring Operation: 96-84=12, Resulting Numbers: [49, 12]
Generated Node #0,0,0: 61:[49, 12] Operation: 96-84=12
Moving to Node #0,0,0
Current State: 61:[49, 12], Operations: ['94-10=84', '96-84=12']
Exploring Operation: 49+12=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.982639 | hs_5 | mult_heuristic |
[
97,
15,
53,
38
] | 62 | [
"97+38=135",
"135/15=9",
"53+9=62"
] | Current State: 62:[97, 15, 53, 38], Operations: []
Exploring Operation: 97+38=135, Resulting Numbers: [15, 53, 135]
Generated Node #2: [15, 53, 135] from Operation: 97+38=135
Current State: 62:[15, 53, 135], Operations: ['97+38=135']
Exploring Operation: 135/15=9, Resulting Numbers: [53, 9]
Generated Node #3: [53, 9] from Operation: 135/15=9
Current State: 62:[53, 9], Operations: ['97+38=135', '135/15=9']
Exploring Operation: 53+9=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[97, 15, 53, 38], Operations: []
Exploring Operation: 97-53=44, Resulting Numbers: [15, 38, 44]
Generated Node #0,0: 62:[15, 38, 44] Operation: 97-53=44
Exploring Operation: 97-38=59, Resulting Numbers: [15, 53, 59]
Generated Node #0,1: 62:[15, 53, 59] Operation: 97-38=59
Exploring Operation: 15+53=68, Resulting Numbers: [97, 38, 68]
Generated Node #0,2: 62:[97, 38, 68] Operation: 15+53=68
Exploring Operation: 97-15=82, Resulting Numbers: [53, 38, 82]
Generated Node #0,3: 62:[53, 38, 82] Operation: 97-15=82
Start Sub Search at level 1: Moving to Node #0,1
Current State: 62:[15, 53, 59], Operations: ['97-38=59']
Exploring Operation: 53-15=38, Resulting Numbers: [59, 38]
Generated Node #0,1,0: 62:[59, 38] Operation: 53-15=38
Exploring Operation: 15+53=68, Resulting Numbers: [59, 68]
Generated Node #0,1,1: 62:[59, 68] Operation: 15+53=68
Exploring Operation: 59-53=6, Resulting Numbers: [15, 6]
Generated Node #0,1,2: 62:[15, 6] Operation: 59-53=6
Exploring Operation: 15+59=74, Resulting Numbers: [53, 74]
Generated Node #0,1,3: 62:[53, 74] Operation: 15+59=74
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 62:[59, 68], Operations: ['97-38=59', '15+53=68']
Exploring Operation: 59+68=127, Resulting Numbers: [127]
127,62 unequal: No Solution
Exploring Operation: 68-59=9, Resulting Numbers: [9]
9,62 unequal: No Solution
Exploring Operation: 59*68=4012, Resulting Numbers: [4012]
4012,62 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: 62:[59, 38], Operations: ['97-38=59', '53-15=38']
Exploring Operation: 59-38=21, Resulting Numbers: [21]
21,62 unequal: No Solution
Exploring Operation: 59+38=97, Resulting Numbers: [97]
97,62 unequal: No Solution
Exploring Operation: 59*38=2242, Resulting Numbers: [2242]
2242,62 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: 62:[15, 6], Operations: ['97-38=59', '59-53=6']
Exploring Operation: 15+6=21, Resulting Numbers: [21]
21,62 unequal: No Solution
Exploring Operation: 15*6=90, Resulting Numbers: [90]
90,62 unequal: No Solution
Exploring Operation: 15-6=9, Resulting Numbers: [9]
9,62 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: 62:[53, 74], Operations: ['97-38=59', '15+59=74']
Exploring Operation: 53+74=127, Resulting Numbers: [127]
127,62 unequal: No Solution
Exploring Operation: 74-53=21, Resulting Numbers: [21]
21,62 unequal: No Solution
Exploring Operation: 53*74=3922, Resulting Numbers: [3922]
3922,62 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: 62:[15, 38, 44], Operations: ['97-53=44']
Exploring Operation: 44-38=6, Resulting Numbers: [15, 6]
Generated Node #0,0,0: 62:[15, 6] Operation: 44-38=6
Exploring Operation: 38-15=23, Resulting Numbers: [44, 23]
Generated Node #0,0,1: 62:[44, 23] Operation: 38-15=23
Exploring Operation: 44-15=29, Resulting Numbers: [38, 29]
Generated Node #0,0,2: 62:[38, 29] Operation: 44-15=29
Exploring Operation: 15+44=59, Resulting Numbers: [38, 59]
Generated Node #0,0,3: 62:[38, 59] Operation: 15+44=59
Moving to Node #0,0,2
Current State: 62:[38, 29], Operations: ['97-53=44', '44-15=29']
Exploring Operation: 38*29=1102, Resulting Numbers: [1102]
1102,62 unequal: No Solution
Exploring Operation: 38-29=9, Resulting Numbers: [9]
9,62 unequal: No Solution
Exploring Operation: 38+29=67, Resulting Numbers: [67]
67,62 unequal: No Solution
Moving to Node #0,0,3
Current State: 62:[38, 59], Operations: ['97-53=44', '15+44=59']
Exploring Operation: 38+59=97, Resulting Numbers: [97]
97,62 unequal: No Solution
Exploring Operation: 38*59=2242, Resulting Numbers: [2242]
2242,62 unequal: No Solution
Exploring Operation: 59-38=21, Resulting Numbers: [21]
21,62 unequal: No Solution
Moving to Node #0,0,0
Current State: 62:[15, 6], Operations: ['97-53=44', '44-38=6']
Exploring Operation: 15+6=21, Resulting Numbers: [21]
21,62 unequal: No Solution
Exploring Operation: 15*6=90, Resulting Numbers: [90]
90,62 unequal: No Solution
Exploring Operation: 15-6=9, Resulting Numbers: [9]
9,62 unequal: No Solution
Moving to Node #0,0,1
Current State: 62:[44, 23], Operations: ['97-53=44', '38-15=23']
Exploring Operation: 44-23=21, Resulting Numbers: [21]
21,62 unequal: No Solution
Exploring Operation: 44+23=67, Resulting Numbers: [67]
67,62 unequal: No Solution
Exploring Operation: 44*23=1012, Resulting Numbers: [1012]
1012,62 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: 62:[53, 38, 82], Operations: ['97-15=82']
Exploring Operation: 82-53=29, Resulting Numbers: [38, 29]
Generated Node #0,3,0: 62:[38, 29] Operation: 82-53=29
Exploring Operation: 82-38=44, Resulting Numbers: [53, 44]
Generated Node #0,3,1: 62:[53, 44] Operation: 82-38=44
Exploring Operation: 53-38=15, Resulting Numbers: [82, 15]
Generated Node #0,3,2: 62:[82, 15] Operation: 53-38=15
Exploring Operation: 53+38=91, Resulting Numbers: [82, 91]
Generated Node #0,3,3: 62:[82, 91] Operation: 53+38=91
Moving to Node #0,3,0
Current State: 62:[38, 29], Operations: ['97-15=82', '82-53=29']
Exploring Operation: 38-29=9, Resulting Numbers: [9]
9,62 unequal: No Solution
Exploring Operation: 38+29=67, Resulting Numbers: [67]
67,62 unequal: No Solution
Exploring Operation: 38*29=1102, Resulting Numbers: [1102]
1102,62 unequal: No Solution
Moving to Node #0,3,1
Current State: 62:[53, 44], Operations: ['97-15=82', '82-38=44']
Exploring Operation: 53*44=2332, Resulting Numbers: [2332]
2332,62 unequal: No Solution
Exploring Operation: 53-44=9, Resulting Numbers: [9]
9,62 unequal: No Solution
Exploring Operation: 53+44=97, Resulting Numbers: [97]
97,62 unequal: No Solution
Moving to Node #0,3,2
Current State: 62:[82, 15], Operations: ['97-15=82', '53-38=15']
Exploring Operation: 82*15=1230, Resulting Numbers: [1230]
1230,62 unequal: No Solution
Exploring Operation: 82-15=67, Resulting Numbers: [67]
67,62 unequal: No Solution
Exploring Operation: 82+15=97, Resulting Numbers: [97]
97,62 unequal: No Solution
Moving to Node #0,3,3
Current State: 62:[82, 91], Operations: ['97-15=82', '53+38=91']
Exploring Operation: 82*91=7462, Resulting Numbers: [7462]
7462,62 unequal: No Solution
Exploring Operation: 91-82=9, Resulting Numbers: [9]
9,62 unequal: No Solution
Exploring Operation: 82+91=173, Resulting Numbers: [173]
173,62 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: 62:[97, 38, 68], Operations: ['15+53=68']
Exploring Operation: 97-38=59, Resulting Numbers: [68, 59]
Generated Node #0,2,0: 62:[68, 59] Operation: 97-38=59
Exploring Operation: 97+38=135, Resulting Numbers: [68, 135]
Generated Node #0,2,1: 62:[68, 135] Operation: 97+38=135
Exploring Operation: 97-68=29, Resulting Numbers: [38, 29]
Generated Node #0,2,2: 62:[38, 29] Operation: 97-68=29
Exploring Operation: 68-38=30, Resulting Numbers: [97, 30]
Generated Node #0,2,3: 62:[97, 30] Operation: 68-38=30
Moving to Node #0,2,0
Current State: 62:[68, 59], Operations: ['15+53=68', '97-38=59']
Exploring Operation: 68+59=127, Resulting Numbers: [127]
127,62 unequal: No Solution
Exploring Operation: 68*59=4012, Resulting Numbers: [4012]
4012,62 unequal: No Solution
Exploring Operation: 68-59=9, Resulting Numbers: [9]
9,62 unequal: No Solution
Moving to Node #0,2,2
Current State: 62:[38, 29], Operations: ['15+53=68', '97-68=29']
Exploring Operation: 38+29=67, Resulting Numbers: [67]
67,62 unequal: No Solution
Exploring Operation: 38-29=9, Resulting Numbers: [9]
9,62 unequal: No Solution
Exploring Operation: 38*29=1102, Resulting Numbers: [1102]
1102,62 unequal: No Solution
Moving to Node #0,2,3
Current State: 62:[97, 30], Operations: ['15+53=68', '68-38=30']
Exploring Operation: 97*30=2910, Resulting Numbers: [2910]
2910,62 unequal: No Solution
Exploring Operation: 97+30=127, Resulting Numbers: [127]
127,62 unequal: No Solution
Exploring Operation: 97-30=67, Resulting Numbers: [67]
67,62 unequal: No Solution
Moving to Node #0,2,1
Current State: 62:[68, 135], Operations: ['15+53=68', '97+38=135']
Exploring Operation: 135-68=67, Resulting Numbers: [67]
67,62 unequal: No Solution
Exploring Operation: 68*135=9180, Resulting Numbers: [9180]
9180,62 unequal: No Solution
Exploring Operation: 68+135=203, Resulting Numbers: [203]
203,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
90,
20,
5,
46
] | 84 | [
"90/5=18",
"20+46=66",
"18+66=84"
] | Current State: 84:[90, 20, 5, 46], Operations: []
Exploring Operation: 90/5=18, Resulting Numbers: [20, 46, 18]
Generated Node #2: [20, 46, 18] from Operation: 90/5=18
Current State: 84:[20, 46, 18], Operations: ['90/5=18']
Exploring Operation: 20+46=66, Resulting Numbers: [18, 66]
Generated Node #3: [18, 66] from Operation: 20+46=66
Current State: 84:[18, 66], Operations: ['90/5=18', '20+46=66']
Exploring Operation: 18+66=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[90, 20, 5, 46], Operations: []
Exploring Operation: 90-46=44, Resulting Numbers: [20, 5, 44]
Generated Node #0,0: 84:[20, 5, 44] Operation: 90-46=44
Exploring Operation: 90-5=85, Resulting Numbers: [20, 46, 85]
Generated Node #0,1: 84:[20, 46, 85] Operation: 90-5=85
Moving to Node #0,0
Current State: 84:[20, 5, 44], Operations: ['90-46=44']
Exploring Operation: 20-5=15, Resulting Numbers: [44, 15]
Generated Node #0,0,0: 84:[44, 15] Operation: 20-5=15
Exploring Operation: 20/5=4, Resulting Numbers: [44, 4]
Generated Node #0,0,1: 84:[44, 4] Operation: 20/5=4
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 84:[44, 4], Operations: ['90-46=44', '20/5=4']
Exploring Operation: 44/4=11, Resulting Numbers: [11]
11,84 unequal: No Solution
Exploring Operation: 44-4=40, Resulting Numbers: [40]
40,84 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: 84:[44, 15], Operations: ['90-46=44', '20-5=15']
Exploring Operation: 44-15=29, Resulting Numbers: [29]
29,84 unequal: No Solution
Exploring Operation: 44+15=59, Resulting Numbers: [59]
59,84 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: 84:[20, 46, 85], Operations: ['90-5=85']
Exploring Operation: 85-46=39, Resulting Numbers: [20, 39]
Generated Node #0,1,0: 84:[20, 39] Operation: 85-46=39
Exploring Operation: 46-20=26, Resulting Numbers: [85, 26]
Generated Node #0,1,1: 84:[85, 26] Operation: 46-20=26
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 84:[85, 26], Operations: ['90-5=85', '46-20=26']
Exploring Operation: 85-26=59, Resulting Numbers: [59]
59,84 unequal: No Solution
Exploring Operation: 85+26=111, Resulting Numbers: [111]
111,84 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: 84:[20, 39], Operations: ['90-5=85', '85-46=39']
Exploring Operation: 39-20=19, Resulting Numbers: [19]
19,84 unequal: No Solution
Exploring Operation: 20+39=59, Resulting Numbers: [59]
59,84 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 |
[
1,
66,
70,
18
] | 71 | [
"70-66=4",
"18*4=72",
"72-1=71"
] | Current State: 71:[1, 66, 70, 18], Operations: []
Exploring Operation: 70-66=4, Resulting Numbers: [1, 18, 4]
Generated Node #2: [1, 18, 4] from Operation: 70-66=4
Current State: 71:[1, 18, 4], Operations: ['70-66=4']
Exploring Operation: 18*4=72, Resulting Numbers: [1, 72]
Generated Node #3: [1, 72] from Operation: 18*4=72
Current State: 71:[1, 72], Operations: ['70-66=4', '18*4=72']
Exploring Operation: 72-1=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[1, 66, 70, 18], Operations: []
Exploring Operation: 1+18=19, Resulting Numbers: [66, 70, 19]
Generated Node #0,0: 71:[66, 70, 19] Operation: 1+18=19
Exploring Operation: 1+70=71, Resulting Numbers: [66, 18, 71]
Generated Node #0,1: 71:[66, 18, 71] Operation: 1+70=71
Exploring Operation: 1+66=67, Resulting Numbers: [70, 18, 67]
Generated Node #0,2: 71:[70, 18, 67] Operation: 1+66=67
Exploring Operation: 66/1=66, Resulting Numbers: [70, 18, 66]
Generated Node #0,3: 71:[70, 18, 66] Operation: 66/1=66
Exploring Operation: 1*66=66, Resulting Numbers: [70, 18, 66]
Generated Node #0,4: 71:[70, 18, 66] Operation: 1*66=66
Moving to Node #0,0
Current State: 71:[66, 70, 19], Operations: ['1+18=19']
Exploring Operation: 70+19=89, Resulting Numbers: [66, 89]
Generated Node #0,0,0: 71:[66, 89] Operation: 70+19=89
Exploring Operation: 70-19=51, Resulting Numbers: [66, 51]
Generated Node #0,0,1: 71:[66, 51] Operation: 70-19=51
Exploring Operation: 66-19=47, Resulting Numbers: [70, 47]
Generated Node #0,0,2: 71:[70, 47] Operation: 66-19=47
Exploring Operation: 66+19=85, Resulting Numbers: [70, 85]
Generated Node #0,0,3: 71:[70, 85] Operation: 66+19=85
Exploring Operation: 66+70=136, Resulting Numbers: [19, 136]
Generated Node #0,0,4: 71:[19, 136] Operation: 66+70=136
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 71:[70, 85], Operations: ['1+18=19', '66+19=85']
Exploring Operation: 85-70=15, Resulting Numbers: [15]
15,71 unequal: No Solution
Exploring Operation: 70*85=5950, Resulting Numbers: [5950]
5950,71 unequal: No Solution
Exploring Operation: 70+85=155, Resulting Numbers: [155]
155,71 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: 71:[66, 89], Operations: ['1+18=19', '70+19=89']
Exploring Operation: 66+89=155, Resulting Numbers: [155]
155,71 unequal: No Solution
Exploring Operation: 66*89=5874, Resulting Numbers: [5874]
5874,71 unequal: No Solution
Exploring Operation: 89-66=23, Resulting Numbers: [23]
23,71 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: 71:[66, 51], Operations: ['1+18=19', '70-19=51']
Exploring Operation: 66+51=117, Resulting Numbers: [117]
117,71 unequal: No Solution
Exploring Operation: 66-51=15, Resulting Numbers: [15]
15,71 unequal: No Solution
Exploring Operation: 66*51=3366, Resulting Numbers: [3366]
3366,71 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: 71:[70, 47], Operations: ['1+18=19', '66-19=47']
Exploring Operation: 70+47=117, Resulting Numbers: [117]
117,71 unequal: No Solution
Exploring Operation: 70*47=3290, Resulting Numbers: [3290]
3290,71 unequal: No Solution
Exploring Operation: 70-47=23, Resulting Numbers: [23]
23,71 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: 71:[19, 136], Operations: ['1+18=19', '66+70=136']
Exploring Operation: 19+136=155, Resulting Numbers: [155]
155,71 unequal: No Solution
Exploring Operation: 19*136=2584, Resulting Numbers: [2584]
2584,71 unequal: No Solution
Exploring Operation: 136-19=117, Resulting Numbers: [117]
117,71 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: 71:[70, 18, 67], Operations: ['1+66=67']
Exploring Operation: 67-18=49, Resulting Numbers: [70, 49]
Generated Node #0,2,0: 71:[70, 49] Operation: 67-18=49
Exploring Operation: 70-18=52, Resulting Numbers: [67, 52]
Generated Node #0,2,1: 71:[67, 52] Operation: 70-18=52
Exploring Operation: 70+67=137, Resulting Numbers: [18, 137]
Generated Node #0,2,2: 71:[18, 137] Operation: 70+67=137
Exploring Operation: 70+18=88, Resulting Numbers: [67, 88]
Generated Node #0,2,3: 71:[67, 88] Operation: 70+18=88
Exploring Operation: 18+67=85, Resulting Numbers: [70, 85]
Generated Node #0,2,4: 71:[70, 85] Operation: 18+67=85
Moving to Node #0,1
Current State: 71:[66, 18, 71], Operations: ['1+70=71']
Exploring Operation: 66+18=84, Resulting Numbers: [71, 84]
Generated Node #0,1,0: 71:[71, 84] Operation: 66+18=84
Exploring Operation: 71-18=53, Resulting Numbers: [66, 53]
Generated Node #0,1,1: 71:[66, 53] Operation: 71-18=53
Exploring Operation: 66-18=48, Resulting Numbers: [71, 48]
Generated Node #0,1,2: 71:[71, 48] Operation: 66-18=48
Exploring Operation: 18+71=89, Resulting Numbers: [66, 89]
Generated Node #0,1,3: 71:[66, 89] Operation: 18+71=89
Exploring Operation: 66+71=137, Resulting Numbers: [18, 137]
Generated Node #0,1,4: 71:[18, 137] Operation: 66+71=137
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 71:[71, 84], Operations: ['1+70=71', '66+18=84']
Exploring Operation: 71+84=155, Resulting Numbers: [155]
155,71 unequal: No Solution
Exploring Operation: 71*84=5964, Resulting Numbers: [5964]
5964,71 unequal: No Solution
Exploring Operation: 84-71=13, Resulting Numbers: [13]
13,71 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: 71:[66, 53], Operations: ['1+70=71', '71-18=53']
Exploring Operation: 66*53=3498, Resulting Numbers: [3498]
3498,71 unequal: No Solution
Exploring Operation: 66-53=13, Resulting Numbers: [13]
13,71 unequal: No Solution
Exploring Operation: 66+53=119, Resulting Numbers: [119]
119,71 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: 71:[71, 48], Operations: ['1+70=71', '66-18=48']
Exploring Operation: 71+48=119, Resulting Numbers: [119]
119,71 unequal: No Solution
Exploring Operation: 71-48=23, Resulting Numbers: [23]
23,71 unequal: No Solution
Exploring Operation: 71*48=3408, Resulting Numbers: [3408]
3408,71 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: 71:[66, 89], Operations: ['1+70=71', '18+71=89']
Exploring Operation: 66*89=5874, Resulting Numbers: [5874]
5874,71 unequal: No Solution
Exploring Operation: 89-66=23, Resulting Numbers: [23]
23,71 unequal: No Solution
Exploring Operation: 66+89=155, Resulting Numbers: [155]
155,71 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: 71:[18, 137], Operations: ['1+70=71', '66+71=137']
Exploring Operation: 137-18=119, Resulting Numbers: [119]
119,71 unequal: No Solution
Exploring Operation: 18*137=2466, Resulting Numbers: [2466]
2466,71 unequal: No Solution
Exploring Operation: 18+137=155, Resulting Numbers: [155]
155,71 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: 71:[70, 18, 66], Operations: ['66/1=66']
Exploring Operation: 70+18=88, Resulting Numbers: [66, 88]
Generated Node #0,3,0: 71:[66, 88] Operation: 70+18=88
Exploring Operation: 70-18=52, Resulting Numbers: [66, 52]
Generated Node #0,3,1: 71:[66, 52] Operation: 70-18=52
Exploring Operation: 70+66=136, Resulting Numbers: [18, 136]
Generated Node #0,3,2: 71:[18, 136] Operation: 70+66=136
Exploring Operation: 18+66=84, Resulting Numbers: [70, 84]
Generated Node #0,3,3: 71:[70, 84] Operation: 18+66=84
Exploring Operation: 66-18=48, Resulting Numbers: [70, 48]
Generated Node #0,3,4: 71:[70, 48] Operation: 66-18=48
Moving to Node #0,4
Current State: 71:[70, 18, 66], Operations: ['1*66=66']
Exploring Operation: 66-18=48, Resulting Numbers: [70, 48]
Generated Node #0,4,0: 71:[70, 48] Operation: 66-18=48
Exploring Operation: 18+66=84, Resulting Numbers: [70, 84]
Generated Node #0,4,1: 71:[70, 84] Operation: 18+66=84
Exploring Operation: 70+66=136, Resulting Numbers: [18, 136]
Generated Node #0,4,2: 71:[18, 136] Operation: 70+66=136
Exploring Operation: 70+18=88, Resulting Numbers: [66, 88]
Generated Node #0,4,3: 71:[66, 88] Operation: 70+18=88
Exploring Operation: 70-18=52, Resulting Numbers: [66, 52]
Generated Node #0,4,4: 71:[66, 52] Operation: 70-18=52
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 71:[70, 84], Operations: ['1*66=66', '18+66=84']
Exploring Operation: 70*84=5880, Resulting Numbers: [5880]
5880,71 unequal: No Solution
Exploring Operation: 70+84=154, Resulting Numbers: [154]
154,71 unequal: No Solution
Exploring Operation: 84-70=14, Resulting Numbers: [14]
14,71 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: 71:[66, 88], Operations: ['1*66=66', '70+18=88']
Exploring Operation: 66+88=154, Resulting Numbers: [154]
154,71 unequal: No Solution
Exploring Operation: 88-66=22, Resulting Numbers: [22]
22,71 unequal: No Solution
Exploring Operation: 66*88=5808, Resulting Numbers: [5808]
5808,71 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: 71:[70, 48], Operations: ['1*66=66', '66-18=48']
Exploring Operation: 70-48=22, Resulting Numbers: [22]
22,71 unequal: No Solution
Exploring Operation: 70*48=3360, Resulting Numbers: [3360]
3360,71 unequal: No Solution
Exploring Operation: 70+48=118, Resulting Numbers: [118]
118,71 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: 71:[66, 52], Operations: ['1*66=66', '70-18=52']
Exploring Operation: 66-52=14, Resulting Numbers: [14]
14,71 unequal: No Solution
Exploring Operation: 66+52=118, Resulting Numbers: [118]
118,71 unequal: No Solution
Exploring Operation: 66*52=3432, Resulting Numbers: [3432]
3432,71 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: 71:[18, 136], Operations: ['1*66=66', '70+66=136']
Exploring Operation: 18*136=2448, Resulting Numbers: [2448]
2448,71 unequal: No Solution
Exploring Operation: 136-18=118, Resulting Numbers: [118]
118,71 unequal: No Solution
Exploring Operation: 18+136=154, Resulting Numbers: [154]
154,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,3
Current State: 71:[70, 84], Operations: ['66/1=66', '18+66=84']
Exploring Operation: 70*84=5880, Resulting Numbers: [5880]
5880,71 unequal: No Solution
Exploring Operation: 84-70=14, Resulting Numbers: [14]
14,71 unequal: No Solution
Exploring Operation: 70+84=154, Resulting Numbers: [154]
154,71 unequal: No Solution
Moving to Node #0,2,4
Current State: 71:[70, 85], Operations: ['1+66=67', '18+67=85']
Exploring Operation: 70+85=155, Resulting Numbers: [155]
155,71 unequal: No Solution
Exploring Operation: 70*85=5950, Resulting Numbers: [5950]
5950,71 unequal: No Solution
Exploring Operation: 85-70=15, Resulting Numbers: [15]
15,71 unequal: No Solution
Moving to Node #0,2,3
Current State: 71:[67, 88], Operations: ['1+66=67', '70+18=88']
Exploring Operation: 67*88=5896, Resulting Numbers: [5896]
5896,71 unequal: No Solution
Exploring Operation: 67+88=155, Resulting Numbers: [155]
155,71 unequal: No Solution
Exploring Operation: 88-67=21, Resulting Numbers: [21]
21,71 unequal: No Solution
Moving to Node #0,3,0
Current State: 71:[66, 88], Operations: ['66/1=66', '70+18=88']
Exploring Operation: 66+88=154, Resulting Numbers: [154]
154,71 unequal: No Solution
Exploring Operation: 66*88=5808, Resulting Numbers: [5808]
5808,71 unequal: No Solution
Exploring Operation: 88-66=22, Resulting Numbers: [22]
22,71 unequal: No Solution
Moving to Node #0,2,0
Current State: 71:[70, 49], Operations: ['1+66=67', '67-18=49']
Exploring Operation: 70-49=21, Resulting Numbers: [21]
21,71 unequal: No Solution
Exploring Operation: 70+49=119, Resulting Numbers: [119]
119,71 unequal: No Solution
Exploring Operation: 70*49=3430, Resulting Numbers: [3430]
3430,71 unequal: No Solution
Moving to Node #0,2,1
Current State: 71:[67, 52], Operations: ['1+66=67', '70-18=52']
Exploring Operation: 67+52=119, Resulting Numbers: [119]
119,71 unequal: No Solution
Exploring Operation: 67-52=15, Resulting Numbers: [15]
15,71 unequal: No Solution
Exploring Operation: 67*52=3484, Resulting Numbers: [3484]
3484,71 unequal: No Solution
Moving to Node #0,3,4
Current State: 71:[70, 48], Operations: ['66/1=66', '66-18=48']
Exploring Operation: 70*48=3360, Resulting Numbers: [3360]
3360,71 unequal: No Solution
Exploring Operation: 70-48=22, Resulting Numbers: [22]
22,71 unequal: No Solution
Exploring Operation: 70+48=118, Resulting Numbers: [118]
118,71 unequal: No Solution
Moving to Node #0,3,1
Current State: 71:[66, 52], Operations: ['66/1=66', '70-18=52']
Exploring Operation: 66*52=3432, Resulting Numbers: [3432]
3432,71 unequal: No Solution
Exploring Operation: 66+52=118, Resulting Numbers: [118]
118,71 unequal: No Solution
Exploring Operation: 66-52=14, Resulting Numbers: [14]
14,71 unequal: No Solution
Moving to Node #0,3,2
Current State: 71:[18, 136], Operations: ['66/1=66', '70+66=136']
Exploring Operation: 136-18=118, Resulting Numbers: [118]
118,71 unequal: No Solution
Exploring Operation: 18*136=2448, Resulting Numbers: [2448]
2448,71 unequal: No Solution
Exploring Operation: 18+136=154, Resulting Numbers: [154]
154,71 unequal: No Solution
Moving to Node #0,2,2
Current State: 71:[18, 137], Operations: ['1+66=67', '70+67=137']
Exploring Operation: 18*137=2466, Resulting Numbers: [2466]
2466,71 unequal: No Solution
Exploring Operation: 137-18=119, Resulting Numbers: [119]
119,71 unequal: No Solution
Exploring Operation: 18+137=155, Resulting Numbers: [155]
155,71 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
71,
20,
70,
34
] | 66 | [
"34-20=14",
"70/14=5",
"71-5=66"
] | Current State: 66:[71, 20, 70, 34], Operations: []
Exploring Operation: 34-20=14, Resulting Numbers: [71, 70, 14]
Generated Node #2: [71, 70, 14] from Operation: 34-20=14
Current State: 66:[71, 70, 14], Operations: ['34-20=14']
Exploring Operation: 70/14=5, Resulting Numbers: [71, 5]
Generated Node #3: [71, 5] from Operation: 70/14=5
Current State: 66:[71, 5], Operations: ['34-20=14', '70/14=5']
Exploring Operation: 71-5=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[71, 20, 70, 34], Operations: []
Exploring Operation: 71-70=1, Resulting Numbers: [20, 34, 1]
Generated Node #0,0: 66:[20, 34, 1] Operation: 71-70=1
Exploring Operation: 34-20=14, Resulting Numbers: [71, 70, 14]
Generated Node #0,1: 66:[71, 70, 14] Operation: 34-20=14
Exploring Operation: 71-34=37, Resulting Numbers: [20, 70, 37]
Generated Node #0,2: 66:[20, 70, 37] Operation: 71-34=37
Exploring Operation: 70-34=36, Resulting Numbers: [71, 20, 36]
Generated Node #0,3: 66:[71, 20, 36] Operation: 70-34=36
Moving to Node #0,0
Current State: 66:[20, 34, 1], Operations: ['71-70=1']
Exploring Operation: 20+1=21, Resulting Numbers: [34, 21]
Generated Node #0,0,0: 66:[34, 21] Operation: 20+1=21
Exploring Operation: 34-1=33, Resulting Numbers: [20, 33]
Generated Node #0,0,1: 66:[20, 33] Operation: 34-1=33
Exploring Operation: 20/1=20, Resulting Numbers: [34, 20]
Generated Node #0,0,2: 66:[34, 20] Operation: 20/1=20
Exploring Operation: 20*1=20, Resulting Numbers: [34, 20]
Generated Node #0,0,3: 66:[34, 20] Operation: 20*1=20
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 66:[34, 21], Operations: ['71-70=1', '20+1=21']
Exploring Operation: 34*21=714, Resulting Numbers: [714]
714,66 unequal: No Solution
Exploring Operation: 34-21=13, Resulting Numbers: [13]
13,66 unequal: No Solution
Exploring Operation: 34+21=55, Resulting Numbers: [55]
55,66 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: 66:[20, 33], Operations: ['71-70=1', '34-1=33']
Exploring Operation: 33-20=13, Resulting Numbers: [13]
13,66 unequal: No Solution
Exploring Operation: 20*33=660, Resulting Numbers: [660]
660,66 unequal: No Solution
Exploring Operation: 20+33=53, Resulting Numbers: [53]
53,66 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: 66:[34, 20], Operations: ['71-70=1', '20/1=20']
Exploring Operation: 34-20=14, Resulting Numbers: [14]
14,66 unequal: No Solution
Exploring Operation: 34+20=54, Resulting Numbers: [54]
54,66 unequal: No Solution
Exploring Operation: 34*20=680, Resulting Numbers: [680]
680,66 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: 66:[34, 20], Operations: ['71-70=1', '20*1=20']
Exploring Operation: 34*20=680, Resulting Numbers: [680]
680,66 unequal: No Solution
Exploring Operation: 34+20=54, Resulting Numbers: [54]
54,66 unequal: No Solution
Exploring Operation: 34-20=14, Resulting Numbers: [14]
14,66 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: 66:[71, 20, 36], Operations: ['70-34=36']
Exploring Operation: 71-20=51, Resulting Numbers: [36, 51]
Generated Node #0,3,0: 66:[36, 51] Operation: 71-20=51
Exploring Operation: 71-36=35, Resulting Numbers: [20, 35]
Generated Node #0,3,1: 66:[20, 35] Operation: 71-36=35
Exploring Operation: 36-20=16, Resulting Numbers: [71, 16]
Generated Node #0,3,2: 66:[71, 16] Operation: 36-20=16
Exploring Operation: 20+36=56, Resulting Numbers: [71, 56]
Generated Node #0,3,3: 66:[71, 56] Operation: 20+36=56
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 66:[20, 35], Operations: ['70-34=36', '71-36=35']
Exploring Operation: 20+35=55, Resulting Numbers: [55]
55,66 unequal: No Solution
Exploring Operation: 35-20=15, Resulting Numbers: [15]
15,66 unequal: No Solution
Exploring Operation: 20*35=700, Resulting Numbers: [700]
700,66 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: 66:[71, 16], Operations: ['70-34=36', '36-20=16']
Exploring Operation: 71+16=87, Resulting Numbers: [87]
87,66 unequal: No Solution
Exploring Operation: 71*16=1136, Resulting Numbers: [1136]
1136,66 unequal: No Solution
Exploring Operation: 71-16=55, Resulting Numbers: [55]
55,66 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: 66:[71, 56], Operations: ['70-34=36', '20+36=56']
Exploring Operation: 71*56=3976, Resulting Numbers: [3976]
3976,66 unequal: No Solution
Exploring Operation: 71+56=127, Resulting Numbers: [127]
127,66 unequal: No Solution
Exploring Operation: 71-56=15, Resulting Numbers: [15]
15,66 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: 66:[36, 51], Operations: ['70-34=36', '71-20=51']
Exploring Operation: 36*51=1836, Resulting Numbers: [1836]
1836,66 unequal: No Solution
Exploring Operation: 51-36=15, Resulting Numbers: [15]
15,66 unequal: No Solution
Exploring Operation: 36+51=87, Resulting Numbers: [87]
87,66 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: 66:[20, 70, 37], Operations: ['71-34=37']
Exploring Operation: 70-37=33, Resulting Numbers: [20, 33]
Generated Node #0,2,0: 66:[20, 33] Operation: 70-37=33
Exploring Operation: 37-20=17, Resulting Numbers: [70, 17]
Generated Node #0,2,1: 66:[70, 17] Operation: 37-20=17
Exploring Operation: 70-20=50, Resulting Numbers: [37, 50]
Generated Node #0,2,2: 66:[37, 50] Operation: 70-20=50
Exploring Operation: 20+37=57, Resulting Numbers: [70, 57]
Generated Node #0,2,3: 66:[70, 57] Operation: 20+37=57
Moving to Node #0,1
Current State: 66:[71, 70, 14], Operations: ['34-20=14']
Exploring Operation: 70-14=56, Resulting Numbers: [71, 56]
Generated Node #0,1,0: 66:[71, 56] Operation: 70-14=56
Exploring Operation: 70/14=5, Resulting Numbers: [71, 5]
Generated Node #0,1,1: 66:[71, 5] Operation: 70/14=5
Exploring Operation: 71-14=57, Resulting Numbers: [70, 57]
Generated Node #0,1,2: 66:[70, 57] Operation: 71-14=57
Exploring Operation: 71-70=1, Resulting Numbers: [14, 1]
Generated Node #0,1,3: 66:[14, 1] Operation: 71-70=1
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 66:[14, 1], Operations: ['34-20=14', '71-70=1']
Exploring Operation: 14/1=14, Resulting Numbers: [14]
14,66 unequal: No Solution
Exploring Operation: 14*1=14, Resulting Numbers: [14]
14,66 unequal: No Solution
Exploring Operation: 14-1=13, Resulting Numbers: [13]
13,66 unequal: No Solution
Exploring Operation: 14+1=15, Resulting Numbers: [15]
15,66 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: 66:[71, 5], Operations: ['34-20=14', '70/14=5']
Exploring Operation: 71-5=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Moving to Node #0
Current State: 66:[71, 20, 70, 34], Operations: []
Exploring Operation: 34-20=14, Resulting Numbers: [71, 70, 14]
Generated Node #0,1: 66:[71, 70, 14] Operation: 34-20=14
Moving to Node #0,1
Current State: 66:[71, 70, 14], Operations: ['34-20=14']
Exploring Operation: 70/14=5, Resulting Numbers: [71, 5]
Generated Node #0,1,1: 66:[71, 5] Operation: 70/14=5
Moving to Node #0,1,1
Current State: 66:[71, 5], Operations: ['34-20=14', '70/14=5']
Exploring Operation: 71-5=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Exit Sub Search at level 1
| 0.953993 | hs_4 | sum_heuristic |
[
90,
48,
60,
32
] | 24 | [
"90-60=30",
"32-30=2",
"48/2=24"
] | Current State: 24:[90, 48, 60, 32], Operations: []
Exploring Operation: 90-60=30, Resulting Numbers: [48, 32, 30]
Generated Node #2: [48, 32, 30] from Operation: 90-60=30
Current State: 24:[48, 32, 30], Operations: ['90-60=30']
Exploring Operation: 32-30=2, Resulting Numbers: [48, 2]
Generated Node #3: [48, 2] from Operation: 32-30=2
Current State: 24:[48, 2], Operations: ['90-60=30', '32-30=2']
Exploring Operation: 48/2=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[90, 48, 60, 32], Operations: []
Exploring Operation: 90-60=30, Resulting Numbers: [48, 32, 30]
Generated Node #0,0: 24:[48, 32, 30] Operation: 90-60=30
Moving to Node #0,0
Current State: 24:[48, 32, 30], Operations: ['90-60=30']
Exploring Operation: 48-32=16, Resulting Numbers: [30, 16]
Generated Node #0,0,0: 24:[30, 16] Operation: 48-32=16
Moving to Node #0,0,0
Current State: 24:[30, 16], Operations: ['90-60=30', '48-32=16']
Exploring Operation: 30-16=14, Resulting Numbers: [14]
14,24 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
31,
38,
32,
33
] | 54 | [
"33-31=2",
"32/2=16",
"38+16=54"
] | Current State: 54:[31, 38, 32, 33], Operations: []
Exploring Operation: 33-31=2, Resulting Numbers: [38, 32, 2]
Generated Node #2: [38, 32, 2] from Operation: 33-31=2
Current State: 54:[38, 32, 2], Operations: ['33-31=2']
Exploring Operation: 32/2=16, Resulting Numbers: [38, 16]
Generated Node #3: [38, 16] from Operation: 32/2=16
Current State: 54:[38, 16], Operations: ['33-31=2', '32/2=16']
Exploring Operation: 38+16=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[31, 38, 32, 33], Operations: []
Exploring Operation: 38-33=5, Resulting Numbers: [31, 32, 5]
Generated Node #0,0: 54:[31, 32, 5] Operation: 38-33=5
Exploring Operation: 38-32=6, Resulting Numbers: [31, 33, 6]
Generated Node #0,1: 54:[31, 33, 6] Operation: 38-32=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 54:[31, 32, 5], Operations: ['38-33=5']
Exploring Operation: 32-5=27, Resulting Numbers: [31, 27]
Generated Node #0,0,0: 54:[31, 27] Operation: 32-5=27
Exploring Operation: 32-31=1, Resulting Numbers: [5, 1]
Generated Node #0,0,1: 54:[5, 1] Operation: 32-31=1
Moving to Node #0,0,1
Current State: 54:[5, 1], Operations: ['38-33=5', '32-31=1']
Exploring Operation: 5*1=5, Resulting Numbers: [5]
5,54 unequal: No Solution
Exploring Operation: 5+1=6, Resulting Numbers: [6]
6,54 unequal: No Solution
Moving to Node #0,0,0
Current State: 54:[31, 27], Operations: ['38-33=5', '32-5=27']
Exploring Operation: 31+27=58, Resulting Numbers: [58]
58,54 unequal: No Solution
Exploring Operation: 31-27=4, Resulting Numbers: [4]
4,54 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: 54:[31, 33, 6], Operations: ['38-32=6']
Exploring Operation: 33-31=2, Resulting Numbers: [6, 2]
Generated Node #0,1,0: 54:[6, 2] Operation: 33-31=2
Exploring Operation: 33-6=27, Resulting Numbers: [31, 27]
Generated Node #0,1,1: 54:[31, 27] Operation: 33-6=27
Moving to Node #0,1,0
Current State: 54:[6, 2], Operations: ['38-32=6', '33-31=2']
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,54 unequal: No Solution
Exploring Operation: 6+2=8, Resulting Numbers: [8]
8,54 unequal: No Solution
Moving to Node #0,1,1
Current State: 54:[31, 27], Operations: ['38-32=6', '33-6=27']
Exploring Operation: 31+27=58, Resulting Numbers: [58]
58,54 unequal: No Solution
Exploring Operation: 31-27=4, Resulting Numbers: [4]
4,54 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 |
[
34,
93,
85,
80
] | 44 | [
"93-85=8",
"80/8=10",
"34+10=44"
] | Current State: 44:[34, 93, 85, 80], Operations: []
Exploring Operation: 93-85=8, Resulting Numbers: [34, 80, 8]
Generated Node #2: [34, 80, 8] from Operation: 93-85=8
Current State: 44:[34, 80, 8], Operations: ['93-85=8']
Exploring Operation: 80/8=10, Resulting Numbers: [34, 10]
Generated Node #3: [34, 10] from Operation: 80/8=10
Current State: 44:[34, 10], Operations: ['93-85=8', '80/8=10']
Exploring Operation: 34+10=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[34, 93, 85, 80], Operations: []
Exploring Operation: 93-80=13, Resulting Numbers: [34, 85, 13]
Generated Node #0,0: 44:[34, 85, 13] Operation: 93-80=13
Exploring Operation: 93-85=8, Resulting Numbers: [34, 80, 8]
Generated Node #0,1: 44:[34, 80, 8] Operation: 93-85=8
Start Sub Search at level 1: Moving to Node #0,1
Current State: 44:[34, 80, 8], Operations: ['93-85=8']
Exploring Operation: 80/8=10, Resulting Numbers: [34, 10]
Generated Node #0,1,0: 44:[34, 10] Operation: 80/8=10
Exploring Operation: 80-34=46, Resulting Numbers: [8, 46]
Generated Node #0,1,1: 44:[8, 46] Operation: 80-34=46
Moving to Node #0,1,1
Current State: 44:[8, 46], Operations: ['93-85=8', '80-34=46']
Exploring Operation: 46-8=38, Resulting Numbers: [38]
38,44 unequal: No Solution
Exploring Operation: 8+46=54, Resulting Numbers: [54]
54,44 unequal: No Solution
Moving to Node #0,1,0
Current State: 44:[34, 10], Operations: ['93-85=8', '80/8=10']
Exploring Operation: 34+10=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Moving to Node #0
Current State: 44:[34, 93, 85, 80], Operations: []
Exploring Operation: 93-85=8, Resulting Numbers: [34, 80, 8]
Generated Node #0,1: 44:[34, 80, 8] Operation: 93-85=8
Moving to Node #0,1
Current State: 44:[34, 80, 8], Operations: ['93-85=8']
Exploring Operation: 80/8=10, Resulting Numbers: [34, 10]
Generated Node #0,1,0: 44:[34, 10] Operation: 80/8=10
Moving to Node #0,1,0
Current State: 44:[34, 10], Operations: ['93-85=8', '80/8=10']
Exploring Operation: 34+10=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_2 | sum_heuristic |
[
40,
3,
23,
33
] | 92 | [
"40-3=37",
"37-33=4",
"23*4=92"
] | Current State: 92:[40, 3, 23, 33], Operations: []
Exploring Operation: 40-3=37, Resulting Numbers: [23, 33, 37]
Generated Node #2: [23, 33, 37] from Operation: 40-3=37
Current State: 92:[23, 33, 37], Operations: ['40-3=37']
Exploring Operation: 37-33=4, Resulting Numbers: [23, 4]
Generated Node #3: [23, 4] from Operation: 37-33=4
Current State: 92:[23, 4], Operations: ['40-3=37', '37-33=4']
Exploring Operation: 23*4=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[40, 3, 23, 33], Operations: []
Exploring Operation: 3*33=99, Resulting Numbers: [40, 23, 99]
Generated Node #0,0: 92:[40, 23, 99] Operation: 3*33=99
Exploring Operation: 40+3=43, Resulting Numbers: [23, 33, 43]
Generated Node #0,1: 92:[23, 33, 43] Operation: 40+3=43
Exploring Operation: 40-33=7, Resulting Numbers: [3, 23, 7]
Generated Node #0,2: 92:[3, 23, 7] Operation: 40-33=7
Start Sub Search at level 1: Moving to Node #0,2
Current State: 92:[3, 23, 7], Operations: ['40-33=7']
Exploring Operation: 3+23=26, Resulting Numbers: [7, 26]
Generated Node #0,2,0: 92:[7, 26] Operation: 3+23=26
Exploring Operation: 3*7=21, Resulting Numbers: [23, 21]
Generated Node #0,2,1: 92:[23, 21] Operation: 3*7=21
Exploring Operation: 7-3=4, Resulting Numbers: [23, 4]
Generated Node #0,2,2: 92:[23, 4] Operation: 7-3=4
Moving to Node #0,2,2
Current State: 92:[23, 4], Operations: ['40-33=7', '7-3=4']
Exploring Operation: 23-4=19, Resulting Numbers: [19]
19,92 unequal: No Solution
Exploring Operation: 23*4=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Moving to Node #0
Current State: 92:[40, 3, 23, 33], Operations: []
Exploring Operation: 40-33=7, Resulting Numbers: [3, 23, 7]
Generated Node #0,2: 92:[3, 23, 7] Operation: 40-33=7
Moving to Node #0,2
Current State: 92:[3, 23, 7], Operations: ['40-33=7']
Exploring Operation: 7-3=4, Resulting Numbers: [23, 4]
Generated Node #0,2,2: 92:[23, 4] Operation: 7-3=4
Moving to Node #0,2,2
Current State: 92:[23, 4], Operations: ['40-33=7', '7-3=4']
Exploring Operation: 23*4=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | sum_heuristic |
[
72,
93,
9,
32
] | 20 | [
"93-72=21",
"9+32=41",
"41-21=20"
] | Current State: 20:[72, 93, 9, 32], Operations: []
Exploring Operation: 93-72=21, Resulting Numbers: [9, 32, 21]
Generated Node #2: [9, 32, 21] from Operation: 93-72=21
Current State: 20:[9, 32, 21], Operations: ['93-72=21']
Exploring Operation: 9+32=41, Resulting Numbers: [21, 41]
Generated Node #3: [21, 41] from Operation: 9+32=41
Current State: 20:[21, 41], Operations: ['93-72=21', '9+32=41']
Exploring Operation: 41-21=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[72, 93, 9, 32], Operations: []
Exploring Operation: 93-32=61, Resulting Numbers: [72, 9, 61]
Generated Node #0,0: 20:[72, 9, 61] Operation: 93-32=61
Exploring Operation: 72-32=40, Resulting Numbers: [93, 9, 40]
Generated Node #0,1: 20:[93, 9, 40] Operation: 72-32=40
Exploring Operation: 93-72=21, Resulting Numbers: [9, 32, 21]
Generated Node #0,2: 20:[9, 32, 21] Operation: 93-72=21
Exploring Operation: 72/9=8, Resulting Numbers: [93, 32, 8]
Generated Node #0,3: 20:[93, 32, 8] Operation: 72/9=8
Moving to Node #0,2
Current State: 20:[9, 32, 21], Operations: ['93-72=21']
Exploring Operation: 32-9=23, Resulting Numbers: [21, 23]
Generated Node #0,2,0: 20:[21, 23] Operation: 32-9=23
Exploring Operation: 9+32=41, Resulting Numbers: [21, 41]
Generated Node #0,2,1: 20:[21, 41] Operation: 9+32=41
Exploring Operation: 32-21=11, Resulting Numbers: [9, 11]
Generated Node #0,2,2: 20:[9, 11] Operation: 32-21=11
Exploring Operation: 21-9=12, Resulting Numbers: [32, 12]
Generated Node #0,2,3: 20:[32, 12] Operation: 21-9=12
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 20:[9, 11], Operations: ['93-72=21', '32-21=11']
Exploring Operation: 11-9=2, Resulting Numbers: [2]
2,20 unequal: No Solution
Exploring Operation: 9*11=99, Resulting Numbers: [99]
99,20 unequal: No Solution
Exploring Operation: 9+11=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Moving to Node #0
Current State: 20:[72, 93, 9, 32], Operations: []
Exploring Operation: 93-72=21, Resulting Numbers: [9, 32, 21]
Generated Node #0,2: 20:[9, 32, 21] Operation: 93-72=21
Moving to Node #0,2
Current State: 20:[9, 32, 21], Operations: ['93-72=21']
Exploring Operation: 32-21=11, Resulting Numbers: [9, 11]
Generated Node #0,2,2: 20:[9, 11] Operation: 32-21=11
Moving to Node #0,2,2
Current State: 20:[9, 11], Operations: ['93-72=21', '32-21=11']
Exploring Operation: 9+11=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_4 | sum_heuristic |
[
70,
45,
42,
10
] | 80 | [
"70/10=7",
"45+42=87",
"87-7=80"
] | Current State: 80:[70, 45, 42, 10], Operations: []
Exploring Operation: 70/10=7, Resulting Numbers: [45, 42, 7]
Generated Node #2: [45, 42, 7] from Operation: 70/10=7
Current State: 80:[45, 42, 7], Operations: ['70/10=7']
Exploring Operation: 45+42=87, Resulting Numbers: [7, 87]
Generated Node #3: [7, 87] from Operation: 45+42=87
Current State: 80:[7, 87], Operations: ['70/10=7', '45+42=87']
Exploring Operation: 87-7=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[70, 45, 42, 10], Operations: []
Exploring Operation: 70-45=25, Resulting Numbers: [42, 10, 25]
Generated Node #0,0: 80:[42, 10, 25] Operation: 70-45=25
Start Sub Search at level 1: Moving to Node #0,0
Current State: 80:[42, 10, 25], Operations: ['70-45=25']
Exploring Operation: 42-25=17, Resulting Numbers: [10, 17]
Generated Node #0,0,0: 80:[10, 17] Operation: 42-25=17
Moving to Node #0,0,0
Current State: 80:[10, 17], Operations: ['70-45=25', '42-25=17']
Exploring Operation: 17-10=7, Resulting Numbers: [7]
7,80 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,
95,
47,
98
] | 53 | [
"98-95=3",
"2*3=6",
"47+6=53"
] | Current State: 53:[2, 95, 47, 98], Operations: []
Exploring Operation: 98-95=3, Resulting Numbers: [2, 47, 3]
Generated Node #2: [2, 47, 3] from Operation: 98-95=3
Current State: 53:[2, 47, 3], Operations: ['98-95=3']
Exploring Operation: 2*3=6, Resulting Numbers: [47, 6]
Generated Node #3: [47, 6] from Operation: 2*3=6
Current State: 53:[47, 6], Operations: ['98-95=3', '2*3=6']
Exploring Operation: 47+6=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[2, 95, 47, 98], Operations: []
Exploring Operation: 98/2=49, Resulting Numbers: [95, 47, 49]
Generated Node #0,0: 53:[95, 47, 49] Operation: 98/2=49
Exploring Operation: 2+47=49, Resulting Numbers: [95, 98, 49]
Generated Node #0,1: 53:[95, 98, 49] Operation: 2+47=49
Exploring Operation: 98-2=96, Resulting Numbers: [95, 47, 96]
Generated Node #0,2: 53:[95, 47, 96] Operation: 98-2=96
Exploring Operation: 95-2=93, Resulting Numbers: [47, 98, 93]
Generated Node #0,3: 53:[47, 98, 93] Operation: 95-2=93
Moving to Node #0,0
Current State: 53:[95, 47, 49], Operations: ['98/2=49']
Exploring Operation: 95-49=46, Resulting Numbers: [47, 46]
Generated Node #0,0,0: 53:[47, 46] Operation: 95-49=46
Exploring Operation: 47+49=96, Resulting Numbers: [95, 96]
Generated Node #0,0,1: 53:[95, 96] Operation: 47+49=96
Exploring Operation: 95-47=48, Resulting Numbers: [49, 48]
Generated Node #0,0,2: 53:[49, 48] Operation: 95-47=48
Exploring Operation: 95+47=142, Resulting Numbers: [49, 142]
Generated Node #0,0,3: 53:[49, 142] Operation: 95+47=142
Moving to Node #0,2
Current State: 53:[95, 47, 96], Operations: ['98-2=96']
Exploring Operation: 96-95=1, Resulting Numbers: [47, 1]
Generated Node #0,2,0: 53:[47, 1] Operation: 96-95=1
Exploring Operation: 96-47=49, Resulting Numbers: [95, 49]
Generated Node #0,2,1: 53:[95, 49] Operation: 96-47=49
Exploring Operation: 95-47=48, Resulting Numbers: [96, 48]
Generated Node #0,2,2: 53:[96, 48] Operation: 95-47=48
Exploring Operation: 95+47=142, Resulting Numbers: [96, 142]
Generated Node #0,2,3: 53:[96, 142] Operation: 95+47=142
Moving to Node #0,1
Current State: 53:[95, 98, 49], Operations: ['2+47=49']
Exploring Operation: 98/49=2, Resulting Numbers: [95, 2]
Generated Node #0,1,0: 53:[95, 2] Operation: 98/49=2
Exploring Operation: 95-49=46, Resulting Numbers: [98, 46]
Generated Node #0,1,1: 53:[98, 46] Operation: 95-49=46
Exploring Operation: 98-95=3, Resulting Numbers: [49, 3]
Generated Node #0,1,2: 53:[49, 3] Operation: 98-95=3
Exploring Operation: 98-49=49, Resulting Numbers: [95, 49]
Generated Node #0,1,3: 53:[95, 49] Operation: 98-49=49
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 53:[95, 49], Operations: ['2+47=49', '98-49=49']
Exploring Operation: 95*49=4655, Resulting Numbers: [4655]
4655,53 unequal: No Solution
Exploring Operation: 95+49=144, Resulting Numbers: [144]
144,53 unequal: No Solution
Exploring Operation: 95-49=46, Resulting Numbers: [46]
46,53 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: 53:[98, 46], Operations: ['2+47=49', '95-49=46']
Exploring Operation: 98*46=4508, Resulting Numbers: [4508]
4508,53 unequal: No Solution
Exploring Operation: 98-46=52, Resulting Numbers: [52]
52,53 unequal: No Solution
Exploring Operation: 98+46=144, Resulting Numbers: [144]
144,53 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: 53:[49, 3], Operations: ['2+47=49', '98-95=3']
Exploring Operation: 49*3=147, Resulting Numbers: [147]
147,53 unequal: No Solution
Exploring Operation: 49+3=52, Resulting Numbers: [52]
52,53 unequal: No Solution
Exploring Operation: 49-3=46, Resulting Numbers: [46]
46,53 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: 53:[95, 2], Operations: ['2+47=49', '98/49=2']
Exploring Operation: 95*2=190, Resulting Numbers: [190]
190,53 unequal: No Solution
Exploring Operation: 95-2=93, Resulting Numbers: [93]
93,53 unequal: No Solution
Exploring Operation: 95+2=97, Resulting Numbers: [97]
97,53 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: 53:[47, 98, 93], Operations: ['95-2=93']
Exploring Operation: 98-47=51, Resulting Numbers: [93, 51]
Generated Node #0,3,0: 53:[93, 51] Operation: 98-47=51
Exploring Operation: 47+98=145, Resulting Numbers: [93, 145]
Generated Node #0,3,1: 53:[93, 145] Operation: 47+98=145
Exploring Operation: 98-93=5, Resulting Numbers: [47, 5]
Generated Node #0,3,2: 53:[47, 5] Operation: 98-93=5
Exploring Operation: 93-47=46, Resulting Numbers: [98, 46]
Generated Node #0,3,3: 53:[98, 46] Operation: 93-47=46
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 53:[93, 51], Operations: ['95-2=93', '98-47=51']
Exploring Operation: 93*51=4743, Resulting Numbers: [4743]
4743,53 unequal: No Solution
Exploring Operation: 93+51=144, Resulting Numbers: [144]
144,53 unequal: No Solution
Exploring Operation: 93-51=42, Resulting Numbers: [42]
42,53 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: 53:[98, 46], Operations: ['95-2=93', '93-47=46']
Exploring Operation: 98-46=52, Resulting Numbers: [52]
52,53 unequal: No Solution
Exploring Operation: 98+46=144, Resulting Numbers: [144]
144,53 unequal: No Solution
Exploring Operation: 98*46=4508, Resulting Numbers: [4508]
4508,53 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: 53:[47, 5], Operations: ['95-2=93', '98-93=5']
Exploring Operation: 47*5=235, Resulting Numbers: [235]
235,53 unequal: No Solution
Exploring Operation: 47-5=42, Resulting Numbers: [42]
42,53 unequal: No Solution
Exploring Operation: 47+5=52, Resulting Numbers: [52]
52,53 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: 53:[93, 145], Operations: ['95-2=93', '47+98=145']
Exploring Operation: 93*145=13485, Resulting Numbers: [13485]
13485,53 unequal: No Solution
Exploring Operation: 145-93=52, Resulting Numbers: [52]
52,53 unequal: No Solution
Exploring Operation: 93+145=238, Resulting Numbers: [238]
238,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,2
Current State: 53:[49, 48], Operations: ['98/2=49', '95-47=48']
Exploring Operation: 49*48=2352, Resulting Numbers: [2352]
2352,53 unequal: No Solution
Exploring Operation: 49+48=97, Resulting Numbers: [97]
97,53 unequal: No Solution
Exploring Operation: 49-48=1, Resulting Numbers: [1]
1,53 unequal: No Solution
Moving to Node #0,0,0
Current State: 53:[47, 46], Operations: ['98/2=49', '95-49=46']
Exploring Operation: 47-46=1, Resulting Numbers: [1]
1,53 unequal: No Solution
Exploring Operation: 47+46=93, Resulting Numbers: [93]
93,53 unequal: No Solution
Exploring Operation: 47*46=2162, Resulting Numbers: [2162]
2162,53 unequal: No Solution
Moving to Node #0,2,1
Current State: 53:[95, 49], Operations: ['98-2=96', '96-47=49']
Exploring Operation: 95*49=4655, Resulting Numbers: [4655]
4655,53 unequal: No Solution
Exploring Operation: 95-49=46, Resulting Numbers: [46]
46,53 unequal: No Solution
Exploring Operation: 95+49=144, Resulting Numbers: [144]
144,53 unequal: No Solution
Moving to Node #0,2,2
Current State: 53:[96, 48], Operations: ['98-2=96', '95-47=48']
Exploring Operation: 96+48=144, Resulting Numbers: [144]
144,53 unequal: No Solution
Exploring Operation: 96/48=2, Resulting Numbers: [2]
2,53 unequal: No Solution
Exploring Operation: 96*48=4608, Resulting Numbers: [4608]
4608,53 unequal: No Solution
Exploring Operation: 96-48=48, Resulting Numbers: [48]
48,53 unequal: No Solution
Moving to Node #0,2,0
Current State: 53:[47, 1], Operations: ['98-2=96', '96-95=1']
Exploring Operation: 47*1=47, Resulting Numbers: [47]
47,53 unequal: No Solution
Exploring Operation: 47+1=48, Resulting Numbers: [48]
48,53 unequal: No Solution
Exploring Operation: 47/1=47, Resulting Numbers: [47]
47,53 unequal: No Solution
Exploring Operation: 47-1=46, Resulting Numbers: [46]
46,53 unequal: No Solution
Moving to Node #0,0,1
Current State: 53:[95, 96], Operations: ['98/2=49', '47+49=96']
Exploring Operation: 96-95=1, Resulting Numbers: [1]
1,53 unequal: No Solution
Exploring Operation: 95*96=9120, Resulting Numbers: [9120]
9120,53 unequal: No Solution
Exploring Operation: 95+96=191, Resulting Numbers: [191]
191,53 unequal: No Solution
Moving to Node #0,0,3
Current State: 53:[49, 142], Operations: ['98/2=49', '95+47=142']
Exploring Operation: 142-49=93, Resulting Numbers: [93]
93,53 unequal: No Solution
Exploring Operation: 49*142=6958, Resulting Numbers: [6958]
6958,53 unequal: No Solution
Exploring Operation: 49+142=191, Resulting Numbers: [191]
191,53 unequal: No Solution
Moving to Node #0,2,3
Current State: 53:[96, 142], Operations: ['98-2=96', '95+47=142']
Exploring Operation: 96*142=13632, Resulting Numbers: [13632]
13632,53 unequal: No Solution
Exploring Operation: 96+142=238, Resulting Numbers: [238]
238,53 unequal: No Solution
Exploring Operation: 142-96=46, Resulting Numbers: [46]
46,53 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
6,
23,
39,
71
] | 31 | [
"71-23=48",
"48/6=8",
"39-8=31"
] | Current State: 31:[6, 23, 39, 71], Operations: []
Exploring Operation: 71-23=48, Resulting Numbers: [6, 39, 48]
Generated Node #2: [6, 39, 48] from Operation: 71-23=48
Current State: 31:[6, 39, 48], Operations: ['71-23=48']
Exploring Operation: 48/6=8, Resulting Numbers: [39, 8]
Generated Node #3: [39, 8] from Operation: 48/6=8
Current State: 31:[39, 8], Operations: ['71-23=48', '48/6=8']
Exploring Operation: 39-8=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[6, 23, 39, 71], Operations: []
Exploring Operation: 71-39=32, Resulting Numbers: [6, 23, 32]
Generated Node #0,0: 31:[6, 23, 32] Operation: 71-39=32
Exploring Operation: 39-6=33, Resulting Numbers: [23, 71, 33]
Generated Node #0,1: 31:[23, 71, 33] Operation: 39-6=33
Exploring Operation: 71-6=65, Resulting Numbers: [23, 39, 65]
Generated Node #0,2: 31:[23, 39, 65] Operation: 71-6=65
Exploring Operation: 6+23=29, Resulting Numbers: [39, 71, 29]
Generated Node #0,3: 31:[39, 71, 29] Operation: 6+23=29
Start Sub Search at level 1: Moving to Node #0,0
Current State: 31:[6, 23, 32], Operations: ['71-39=32']
Exploring Operation: 6+23=29, Resulting Numbers: [32, 29]
Generated Node #0,0,0: 31:[32, 29] Operation: 6+23=29
Exploring Operation: 32-6=26, Resulting Numbers: [23, 26]
Generated Node #0,0,1: 31:[23, 26] Operation: 32-6=26
Exploring Operation: 6+32=38, Resulting Numbers: [23, 38]
Generated Node #0,0,2: 31:[23, 38] Operation: 6+32=38
Exploring Operation: 23-6=17, Resulting Numbers: [32, 17]
Generated Node #0,0,3: 31:[32, 17] Operation: 23-6=17
Moving to Node #0,0,0
Current State: 31:[32, 29], Operations: ['71-39=32', '6+23=29']
Exploring Operation: 32*29=928, Resulting Numbers: [928]
928,31 unequal: No Solution
Exploring Operation: 32+29=61, Resulting Numbers: [61]
61,31 unequal: No Solution
Exploring Operation: 32-29=3, Resulting Numbers: [3]
3,31 unequal: No Solution
Moving to Node #0,0,1
Current State: 31:[23, 26], Operations: ['71-39=32', '32-6=26']
Exploring Operation: 23*26=598, Resulting Numbers: [598]
598,31 unequal: No Solution
Exploring Operation: 23+26=49, Resulting Numbers: [49]
49,31 unequal: No Solution
Exploring Operation: 26-23=3, Resulting Numbers: [3]
3,31 unequal: No Solution
Moving to Node #0,0,3
Current State: 31:[32, 17], Operations: ['71-39=32', '23-6=17']
Exploring Operation: 32*17=544, Resulting Numbers: [544]
544,31 unequal: No Solution
Exploring Operation: 32-17=15, Resulting Numbers: [15]
15,31 unequal: No Solution
Exploring Operation: 32+17=49, Resulting Numbers: [49]
49,31 unequal: No Solution
Moving to Node #0,0,2
Current State: 31:[23, 38], Operations: ['71-39=32', '6+32=38']
Exploring Operation: 38-23=15, Resulting Numbers: [15]
15,31 unequal: No Solution
Exploring Operation: 23*38=874, Resulting Numbers: [874]
874,31 unequal: No Solution
Exploring Operation: 23+38=61, Resulting Numbers: [61]
61,31 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: 31:[23, 71, 33], Operations: ['39-6=33']
Exploring Operation: 23+71=94, Resulting Numbers: [33, 94]
Generated Node #0,1,0: 31:[33, 94] Operation: 23+71=94
Exploring Operation: 71-23=48, Resulting Numbers: [33, 48]
Generated Node #0,1,1: 31:[33, 48] Operation: 71-23=48
Exploring Operation: 33-23=10, Resulting Numbers: [71, 10]
Generated Node #0,1,2: 31:[71, 10] Operation: 33-23=10
Exploring Operation: 71-33=38, Resulting Numbers: [23, 38]
Generated Node #0,1,3: 31:[23, 38] Operation: 71-33=38
Moving to Node #0,1,3
Current State: 31:[23, 38], Operations: ['39-6=33', '71-33=38']
Exploring Operation: 23+38=61, Resulting Numbers: [61]
61,31 unequal: No Solution
Exploring Operation: 38-23=15, Resulting Numbers: [15]
15,31 unequal: No Solution
Exploring Operation: 23*38=874, Resulting Numbers: [874]
874,31 unequal: No Solution
Moving to Node #0,1,1
Current State: 31:[33, 48], Operations: ['39-6=33', '71-23=48']
Exploring Operation: 48-33=15, Resulting Numbers: [15]
15,31 unequal: No Solution
Exploring Operation: 33+48=81, Resulting Numbers: [81]
81,31 unequal: No Solution
Exploring Operation: 33*48=1584, Resulting Numbers: [1584]
1584,31 unequal: No Solution
Moving to Node #0,1,2
Current State: 31:[71, 10], Operations: ['39-6=33', '33-23=10']
Exploring Operation: 71*10=710, Resulting Numbers: [710]
710,31 unequal: No Solution
Exploring Operation: 71-10=61, Resulting Numbers: [61]
61,31 unequal: No Solution
Exploring Operation: 71+10=81, Resulting Numbers: [81]
81,31 unequal: No Solution
Moving to Node #0,1,0
Current State: 31:[33, 94], Operations: ['39-6=33', '23+71=94']
Exploring Operation: 33+94=127, Resulting Numbers: [127]
127,31 unequal: No Solution
Exploring Operation: 33*94=3102, Resulting Numbers: [3102]
3102,31 unequal: No Solution
Exploring Operation: 94-33=61, Resulting Numbers: [61]
61,31 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: 31:[23, 39, 65], Operations: ['71-6=65']
Exploring Operation: 39-23=16, Resulting Numbers: [65, 16]
Generated Node #0,2,0: 31:[65, 16] Operation: 39-23=16
Exploring Operation: 65-23=42, Resulting Numbers: [39, 42]
Generated Node #0,2,1: 31:[39, 42] Operation: 65-23=42
Exploring Operation: 65-39=26, Resulting Numbers: [23, 26]
Generated Node #0,2,2: 31:[23, 26] Operation: 65-39=26
Exploring Operation: 23+39=62, Resulting Numbers: [65, 62]
Generated Node #0,2,3: 31:[65, 62] Operation: 23+39=62
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 31:[23, 26], Operations: ['71-6=65', '65-39=26']
Exploring Operation: 26-23=3, Resulting Numbers: [3]
3,31 unequal: No Solution
Exploring Operation: 23+26=49, Resulting Numbers: [49]
49,31 unequal: No Solution
Exploring Operation: 23*26=598, Resulting Numbers: [598]
598,31 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 #0,2,1
Current State: 31:[39, 42], Operations: ['71-6=65', '65-23=42']
Exploring Operation: 39*42=1638, Resulting Numbers: [1638]
1638,31 unequal: No Solution
Exploring Operation: 39+42=81, Resulting Numbers: [81]
81,31 unequal: No Solution
Exploring Operation: 42-39=3, Resulting Numbers: [3]
3,31 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 #0,2,0
Current State: 31:[65, 16], Operations: ['71-6=65', '39-23=16']
Exploring Operation: 65*16=1040, Resulting Numbers: [1040]
1040,31 unequal: No Solution
Exploring Operation: 65+16=81, Resulting Numbers: [81]
81,31 unequal: No Solution
Exploring Operation: 65-16=49, Resulting Numbers: [49]
49,31 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 #0,2,3
Current State: 31:[65, 62], Operations: ['71-6=65', '23+39=62']
Exploring Operation: 65*62=4030, Resulting Numbers: [4030]
4030,31 unequal: No Solution
Exploring Operation: 65+62=127, Resulting Numbers: [127]
127,31 unequal: No Solution
Exploring Operation: 65-62=3, Resulting Numbers: [3]
3,31 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 #0,3
Current State: 31:[39, 71, 29], Operations: ['6+23=29']
Exploring Operation: 39-29=10, Resulting Numbers: [71, 10]
Generated Node #0,3,0: 31:[71, 10] Operation: 39-29=10
Exploring Operation: 39+29=68, Resulting Numbers: [71, 68]
Generated Node #0,3,1: 31:[71, 68] Operation: 39+29=68
Exploring Operation: 71-39=32, Resulting Numbers: [29, 32]
Generated Node #0,3,2: 31:[29, 32] Operation: 71-39=32
Exploring Operation: 71-29=42, Resulting Numbers: [39, 42]
Generated Node #0,3,3: 31:[39, 42] Operation: 71-29=42
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 31:[29, 32], Operations: ['6+23=29', '71-39=32']
Exploring Operation: 32-29=3, Resulting Numbers: [3]
3,31 unequal: No Solution
Exploring Operation: 29*32=928, Resulting Numbers: [928]
928,31 unequal: No Solution
Exploring Operation: 29+32=61, Resulting Numbers: [61]
61,31 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 #0,3,3
Current State: 31:[39, 42], Operations: ['6+23=29', '71-29=42']
Exploring Operation: 39*42=1638, Resulting Numbers: [1638]
1638,31 unequal: No Solution
Exploring Operation: 42-39=3, Resulting Numbers: [3]
3,31 unequal: No Solution
Exploring Operation: 39+42=81, Resulting Numbers: [81]
81,31 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 #0,3,0
Current State: 31:[71, 10], Operations: ['6+23=29', '39-29=10']
Exploring Operation: 71*10=710, Resulting Numbers: [710]
710,31 unequal: No Solution
Exploring Operation: 71+10=81, Resulting Numbers: [81]
81,31 unequal: No Solution
Exploring Operation: 71-10=61, Resulting Numbers: [61]
61,31 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 #0,3,1
Current State: 31:[71, 68], Operations: ['6+23=29', '39+29=68']
Exploring Operation: 71+68=139, Resulting Numbers: [139]
139,31 unequal: No Solution
Exploring Operation: 71-68=3, Resulting Numbers: [3]
3,31 unequal: No Solution
Exploring Operation: 71*68=4828, Resulting Numbers: [4828]
4828,31 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
No solution found.
| 0 | hs_4 | sum_heuristic |
[
18,
48,
30,
76
] | 36 | [
"48+30=78",
"78-76=2",
"18*2=36"
] | Current State: 36:[18, 48, 30, 76], Operations: []
Exploring Operation: 48+30=78, Resulting Numbers: [18, 76, 78]
Generated Node #2: [18, 76, 78] from Operation: 48+30=78
Current State: 36:[18, 76, 78], Operations: ['48+30=78']
Exploring Operation: 78-76=2, Resulting Numbers: [18, 2]
Generated Node #3: [18, 2] from Operation: 78-76=2
Current State: 36:[18, 2], Operations: ['48+30=78', '78-76=2']
Exploring Operation: 18*2=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[18, 48, 30, 76], Operations: []
Exploring Operation: 76-30=46, Resulting Numbers: [18, 48, 46]
Generated Node #0,0: 36:[18, 48, 46] Operation: 76-30=46
Exploring Operation: 76-48=28, Resulting Numbers: [18, 30, 28]
Generated Node #0,1: 36:[18, 30, 28] Operation: 76-48=28
Start Sub Search at level 1: Moving to Node #0,1
Current State: 36:[18, 30, 28], Operations: ['76-48=28']
Exploring Operation: 30-28=2, Resulting Numbers: [18, 2]
Generated Node #0,1,0: 36:[18, 2] Operation: 30-28=2
Exploring Operation: 28-18=10, Resulting Numbers: [30, 10]
Generated Node #0,1,1: 36:[30, 10] Operation: 28-18=10
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 36:[18, 2], Operations: ['76-48=28', '30-28=2']
Exploring Operation: 18*2=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Moving to Node #0
Current State: 36:[18, 48, 30, 76], Operations: []
Exploring Operation: 76-48=28, Resulting Numbers: [18, 30, 28]
Generated Node #0,1: 36:[18, 30, 28] Operation: 76-48=28
Moving to Node #0,1
Current State: 36:[18, 30, 28], Operations: ['76-48=28']
Exploring Operation: 30-28=2, Resulting Numbers: [18, 2]
Generated Node #0,1,0: 36:[18, 2] Operation: 30-28=2
Moving to Node #0,1,0
Current State: 36:[18, 2], Operations: ['76-48=28', '30-28=2']
Exploring Operation: 18*2=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
78,
22,
55,
70
] | 70 | [
"78-22=56",
"56-55=1",
"70*1=70"
] | Current State: 70:[78, 22, 55, 70], Operations: []
Exploring Operation: 78-22=56, Resulting Numbers: [55, 70, 56]
Generated Node #2: [55, 70, 56] from Operation: 78-22=56
Current State: 70:[55, 70, 56], Operations: ['78-22=56']
Exploring Operation: 56-55=1, Resulting Numbers: [70, 1]
Generated Node #3: [70, 1] from Operation: 56-55=1
Current State: 70:[70, 1], Operations: ['78-22=56', '56-55=1']
Exploring Operation: 70*1=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[78, 22, 55, 70], Operations: []
Exploring Operation: 55-22=33, Resulting Numbers: [78, 70, 33]
Generated Node #0,0: 70:[78, 70, 33] Operation: 55-22=33
Moving to Node #0,0
Current State: 70:[78, 70, 33], Operations: ['55-22=33']
Exploring Operation: 78-70=8, Resulting Numbers: [33, 8]
Generated Node #0,0,0: 70:[33, 8] Operation: 78-70=8
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 70:[33, 8], Operations: ['55-22=33', '78-70=8']
Exploring Operation: 33+8=41, Resulting Numbers: [41]
41,70 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 |
[
55,
57,
34,
88
] | 57 | [
"55+34=89",
"89-88=1",
"57*1=57"
] | Current State: 57:[55, 57, 34, 88], Operations: []
Exploring Operation: 55+34=89, Resulting Numbers: [57, 88, 89]
Generated Node #2: [57, 88, 89] from Operation: 55+34=89
Current State: 57:[57, 88, 89], Operations: ['55+34=89']
Exploring Operation: 89-88=1, Resulting Numbers: [57, 1]
Generated Node #3: [57, 1] from Operation: 89-88=1
Current State: 57:[57, 1], Operations: ['55+34=89', '89-88=1']
Exploring Operation: 57*1=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[55, 57, 34, 88], Operations: []
Exploring Operation: 88-57=31, Resulting Numbers: [55, 34, 31]
Generated Node #0,0: 57:[55, 34, 31] Operation: 88-57=31
Exploring Operation: 88-55=33, Resulting Numbers: [57, 34, 33]
Generated Node #0,1: 57:[57, 34, 33] Operation: 88-55=33
Exploring Operation: 88-34=54, Resulting Numbers: [55, 57, 54]
Generated Node #0,2: 57:[55, 57, 54] Operation: 88-34=54
Moving to Node #0,2
Current State: 57:[55, 57, 54], Operations: ['88-34=54']
Exploring Operation: 57-54=3, Resulting Numbers: [55, 3]
Generated Node #0,2,0: 57:[55, 3] Operation: 57-54=3
Exploring Operation: 57-55=2, Resulting Numbers: [54, 2]
Generated Node #0,2,1: 57:[54, 2] Operation: 57-55=2
Exploring Operation: 55-54=1, Resulting Numbers: [57, 1]
Generated Node #0,2,2: 57:[57, 1] Operation: 55-54=1
Moving to Node #0,0
Current State: 57:[55, 34, 31], Operations: ['88-57=31']
Exploring Operation: 34-31=3, Resulting Numbers: [55, 3]
Generated Node #0,0,0: 57:[55, 3] Operation: 34-31=3
Exploring Operation: 34+31=65, Resulting Numbers: [55, 65]
Generated Node #0,0,1: 57:[55, 65] Operation: 34+31=65
Exploring Operation: 55-34=21, Resulting Numbers: [31, 21]
Generated Node #0,0,2: 57:[31, 21] Operation: 55-34=21
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 57:[55, 3], Operations: ['88-57=31', '34-31=3']
Exploring Operation: 55*3=165, Resulting Numbers: [165]
165,57 unequal: No Solution
Exploring Operation: 55+3=58, Resulting Numbers: [58]
58,57 unequal: No Solution
Exploring Operation: 55-3=52, Resulting Numbers: [52]
52,57 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: 57:[55, 65], Operations: ['88-57=31', '34+31=65']
Exploring Operation: 65-55=10, Resulting Numbers: [10]
10,57 unequal: No Solution
Exploring Operation: 55+65=120, Resulting Numbers: [120]
120,57 unequal: No Solution
Exploring Operation: 55*65=3575, Resulting Numbers: [3575]
3575,57 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: 57:[31, 21], Operations: ['88-57=31', '55-34=21']
Exploring Operation: 31*21=651, Resulting Numbers: [651]
651,57 unequal: No Solution
Exploring Operation: 31-21=10, Resulting Numbers: [10]
10,57 unequal: No Solution
Exploring Operation: 31+21=52, Resulting Numbers: [52]
52,57 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: 57:[57, 34, 33], Operations: ['88-55=33']
Exploring Operation: 57-34=23, Resulting Numbers: [33, 23]
Generated Node #0,1,0: 57:[33, 23] Operation: 57-34=23
Exploring Operation: 34+33=67, Resulting Numbers: [57, 67]
Generated Node #0,1,1: 57:[57, 67] Operation: 34+33=67
Exploring Operation: 34-33=1, Resulting Numbers: [57, 1]
Generated Node #0,1,2: 57:[57, 1] Operation: 34-33=1
Moving to Node #0,2,0
Current State: 57:[55, 3], Operations: ['88-34=54', '57-54=3']
Exploring Operation: 55+3=58, Resulting Numbers: [58]
58,57 unequal: No Solution
Exploring Operation: 55-3=52, Resulting Numbers: [52]
52,57 unequal: No Solution
Exploring Operation: 55*3=165, Resulting Numbers: [165]
165,57 unequal: No Solution
Moving to Node #0,2,2
Current State: 57:[57, 1], Operations: ['88-34=54', '55-54=1']
Exploring Operation: 57+1=58, Resulting Numbers: [58]
58,57 unequal: No Solution
Exploring Operation: 57/1=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Moving to Node #0
Current State: 57:[55, 57, 34, 88], Operations: []
Exploring Operation: 88-34=54, Resulting Numbers: [55, 57, 54]
Generated Node #0,2: 57:[55, 57, 54] Operation: 88-34=54
Moving to Node #0,2
Current State: 57:[55, 57, 54], Operations: ['88-34=54']
Exploring Operation: 55-54=1, Resulting Numbers: [57, 1]
Generated Node #0,2,2: 57:[57, 1] Operation: 55-54=1
Moving to Node #0,2,2
Current State: 57:[57, 1], Operations: ['88-34=54', '55-54=1']
Exploring Operation: 57/1=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 0.973958 | hs_3 | mult_heuristic |
[
86,
94,
84,
74
] | 54 | [
"86-84=2",
"74*2=148",
"148-94=54"
] | Current State: 54:[86, 94, 84, 74], Operations: []
Exploring Operation: 86-84=2, Resulting Numbers: [94, 74, 2]
Generated Node #2: [94, 74, 2] from Operation: 86-84=2
Current State: 54:[94, 74, 2], Operations: ['86-84=2']
Exploring Operation: 74*2=148, Resulting Numbers: [94, 148]
Generated Node #3: [94, 148] from Operation: 74*2=148
Current State: 54:[94, 148], Operations: ['86-84=2', '74*2=148']
Exploring Operation: 148-94=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[86, 94, 84, 74], Operations: []
Exploring Operation: 94-84=10, Resulting Numbers: [86, 74, 10]
Generated Node #0,0: 54:[86, 74, 10] Operation: 94-84=10
Exploring Operation: 94-86=8, Resulting Numbers: [84, 74, 8]
Generated Node #0,1: 54:[84, 74, 8] Operation: 94-86=8
Start Sub Search at level 1: Moving to Node #0,1
Current State: 54:[84, 74, 8], Operations: ['94-86=8']
Exploring Operation: 84-8=76, Resulting Numbers: [74, 76]
Generated Node #0,1,0: 54:[74, 76] Operation: 84-8=76
Exploring Operation: 84-74=10, Resulting Numbers: [8, 10]
Generated Node #0,1,1: 54:[8, 10] Operation: 84-74=10
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 54:[8, 10], Operations: ['94-86=8', '84-74=10']
Exploring Operation: 10-8=2, Resulting Numbers: [2]
2,54 unequal: No Solution
Exploring Operation: 8+10=18, Resulting Numbers: [18]
18,54 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: 54:[74, 76], Operations: ['94-86=8', '84-8=76']
Exploring Operation: 74+76=150, Resulting Numbers: [150]
150,54 unequal: No Solution
Exploring Operation: 76-74=2, Resulting Numbers: [2]
2,54 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: 54:[86, 74, 10], Operations: ['94-84=10']
Exploring Operation: 86-10=76, Resulting Numbers: [74, 76]
Generated Node #0,0,0: 54:[74, 76] Operation: 86-10=76
Exploring Operation: 86-74=12, Resulting Numbers: [10, 12]
Generated Node #0,0,1: 54:[10, 12] Operation: 86-74=12
Moving to Node #0,0,1
Current State: 54:[10, 12], Operations: ['94-84=10', '86-74=12']
Exploring Operation: 12-10=2, Resulting Numbers: [2]
2,54 unequal: No Solution
Exploring Operation: 10+12=22, Resulting Numbers: [22]
22,54 unequal: No Solution
Moving to Node #0,0,0
Current State: 54:[74, 76], Operations: ['94-84=10', '86-10=76']
Exploring Operation: 76-74=2, Resulting Numbers: [2]
2,54 unequal: No Solution
Exploring Operation: 74+76=150, Resulting Numbers: [150]
150,54 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 |
[
63,
83,
37,
38
] | 19 | [
"83-63=20",
"38-37=1",
"20-1=19"
] | Current State: 19:[63, 83, 37, 38], Operations: []
Exploring Operation: 83-63=20, Resulting Numbers: [37, 38, 20]
Generated Node #2: [37, 38, 20] from Operation: 83-63=20
Current State: 19:[37, 38, 20], Operations: ['83-63=20']
Exploring Operation: 38-37=1, Resulting Numbers: [20, 1]
Generated Node #3: [20, 1] from Operation: 38-37=1
Current State: 19:[20, 1], Operations: ['83-63=20', '38-37=1']
Exploring Operation: 20-1=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[63, 83, 37, 38], Operations: []
Exploring Operation: 63-38=25, Resulting Numbers: [83, 37, 25]
Generated Node #0,0: 19:[83, 37, 25] Operation: 63-38=25
Exploring Operation: 83-63=20, Resulting Numbers: [37, 38, 20]
Generated Node #0,1: 19:[37, 38, 20] Operation: 83-63=20
Exploring Operation: 83-38=45, Resulting Numbers: [63, 37, 45]
Generated Node #0,2: 19:[63, 37, 45] Operation: 83-38=45
Moving to Node #0,1
Current State: 19:[37, 38, 20], Operations: ['83-63=20']
Exploring Operation: 38-37=1, Resulting Numbers: [20, 1]
Generated Node #0,1,0: 19:[20, 1] Operation: 38-37=1
Exploring Operation: 37-20=17, Resulting Numbers: [38, 17]
Generated Node #0,1,1: 19:[38, 17] Operation: 37-20=17
Exploring Operation: 38-20=18, Resulting Numbers: [37, 18]
Generated Node #0,1,2: 19:[37, 18] Operation: 38-20=18
Moving to Node #0,0
Current State: 19:[83, 37, 25], Operations: ['63-38=25']
Exploring Operation: 83-37=46, Resulting Numbers: [25, 46]
Generated Node #0,0,0: 19:[25, 46] Operation: 83-37=46
Exploring Operation: 83-25=58, Resulting Numbers: [37, 58]
Generated Node #0,0,1: 19:[37, 58] Operation: 83-25=58
Exploring Operation: 37-25=12, Resulting Numbers: [83, 12]
Generated Node #0,0,2: 19:[83, 12] Operation: 37-25=12
Moving to Node #0,2
Current State: 19:[63, 37, 45], Operations: ['83-38=45']
Exploring Operation: 63-45=18, Resulting Numbers: [37, 18]
Generated Node #0,2,0: 19:[37, 18] Operation: 63-45=18
Exploring Operation: 45-37=8, Resulting Numbers: [63, 8]
Generated Node #0,2,1: 19:[63, 8] Operation: 45-37=8
Exploring Operation: 63-37=26, Resulting Numbers: [45, 26]
Generated Node #0,2,2: 19:[45, 26] Operation: 63-37=26
Moving to Node #0,1,0
Current State: 19:[20, 1], Operations: ['83-63=20', '38-37=1']
Exploring Operation: 20/1=20, Resulting Numbers: [20]
20,19 unequal: No Solution
Exploring Operation: 20*1=20, Resulting Numbers: [20]
20,19 unequal: No Solution
Exploring Operation: 20-1=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Moving to Node #0
Current State: 19:[63, 83, 37, 38], Operations: []
Exploring Operation: 83-63=20, Resulting Numbers: [37, 38, 20]
Generated Node #0,1: 19:[37, 38, 20] Operation: 83-63=20
Moving to Node #0,1
Current State: 19:[37, 38, 20], Operations: ['83-63=20']
Exploring Operation: 38-37=1, Resulting Numbers: [20, 1]
Generated Node #0,1,0: 19:[20, 1] Operation: 38-37=1
Moving to Node #0,1,0
Current State: 19:[20, 1], Operations: ['83-63=20', '38-37=1']
Exploring Operation: 20-1=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 0.983507 | hs_3 | mult_heuristic |
[
18,
73,
42,
35
] | 48 | [
"73-18=55",
"42-35=7",
"55-7=48"
] | Current State: 48:[18, 73, 42, 35], Operations: []
Exploring Operation: 73-18=55, Resulting Numbers: [42, 35, 55]
Generated Node #2: [42, 35, 55] from Operation: 73-18=55
Current State: 48:[42, 35, 55], Operations: ['73-18=55']
Exploring Operation: 42-35=7, Resulting Numbers: [55, 7]
Generated Node #3: [55, 7] from Operation: 42-35=7
Current State: 48:[55, 7], Operations: ['73-18=55', '42-35=7']
Exploring Operation: 55-7=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[18, 73, 42, 35], Operations: []
Exploring Operation: 73-18=55, Resulting Numbers: [42, 35, 55]
Generated Node #0,0: 48:[42, 35, 55] Operation: 73-18=55
Exploring Operation: 73-35=38, Resulting Numbers: [18, 42, 38]
Generated Node #0,1: 48:[18, 42, 38] Operation: 73-35=38
Exploring Operation: 73-42=31, Resulting Numbers: [18, 35, 31]
Generated Node #0,2: 48:[18, 35, 31] Operation: 73-42=31
Exploring Operation: 42-35=7, Resulting Numbers: [18, 73, 7]
Generated Node #0,3: 48:[18, 73, 7] Operation: 42-35=7
Moving to Node #0,1
Current State: 48:[18, 42, 38], Operations: ['73-35=38']
Exploring Operation: 42-18=24, Resulting Numbers: [38, 24]
Generated Node #0,1,0: 48:[38, 24] Operation: 42-18=24
Exploring Operation: 42-38=4, Resulting Numbers: [18, 4]
Generated Node #0,1,1: 48:[18, 4] Operation: 42-38=4
Exploring Operation: 38-18=20, Resulting Numbers: [42, 20]
Generated Node #0,1,2: 48:[42, 20] Operation: 38-18=20
Exploring Operation: 18+38=56, Resulting Numbers: [42, 56]
Generated Node #0,1,3: 48:[42, 56] Operation: 18+38=56
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 48:[18, 4], Operations: ['73-35=38', '42-38=4']
Exploring Operation: 18+4=22, Resulting Numbers: [22]
22,48 unequal: No Solution
Exploring Operation: 18-4=14, Resulting Numbers: [14]
14,48 unequal: No Solution
Exploring Operation: 18*4=72, Resulting Numbers: [72]
72,48 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:[38, 24], Operations: ['73-35=38', '42-18=24']
Exploring Operation: 38+24=62, Resulting Numbers: [62]
62,48 unequal: No Solution
Exploring Operation: 38*24=912, Resulting Numbers: [912]
912,48 unequal: No Solution
Exploring Operation: 38-24=14, Resulting Numbers: [14]
14,48 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:[42, 20], Operations: ['73-35=38', '38-18=20']
Exploring Operation: 42-20=22, Resulting Numbers: [22]
22,48 unequal: No Solution
Exploring Operation: 42+20=62, Resulting Numbers: [62]
62,48 unequal: No Solution
Exploring Operation: 42*20=840, Resulting Numbers: [840]
840,48 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 #0,1,3
Current State: 48:[42, 56], Operations: ['73-35=38', '18+38=56']
Exploring Operation: 42*56=2352, Resulting Numbers: [2352]
2352,48 unequal: No Solution
Exploring Operation: 42+56=98, Resulting Numbers: [98]
98,48 unequal: No Solution
Exploring Operation: 56-42=14, Resulting Numbers: [14]
14,48 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: 48:[18, 35, 31], Operations: ['73-42=31']
Exploring Operation: 35-18=17, Resulting Numbers: [31, 17]
Generated Node #0,2,0: 48:[31, 17] Operation: 35-18=17
Exploring Operation: 35-31=4, Resulting Numbers: [18, 4]
Generated Node #0,2,1: 48:[18, 4] Operation: 35-31=4
Exploring Operation: 18+35=53, Resulting Numbers: [31, 53]
Generated Node #0,2,2: 48:[31, 53] Operation: 18+35=53
Exploring Operation: 18+31=49, Resulting Numbers: [35, 49]
Generated Node #0,2,3: 48:[35, 49] Operation: 18+31=49
Moving to Node #0,0
Current State: 48:[42, 35, 55], Operations: ['73-18=55']
Exploring Operation: 55-42=13, Resulting Numbers: [35, 13]
Generated Node #0,0,0: 48:[35, 13] Operation: 55-42=13
Exploring Operation: 42+35=77, Resulting Numbers: [55, 77]
Generated Node #0,0,1: 48:[55, 77] Operation: 42+35=77
Exploring Operation: 55-35=20, Resulting Numbers: [42, 20]
Generated Node #0,0,2: 48:[42, 20] Operation: 55-35=20
Exploring Operation: 42-35=7, Resulting Numbers: [55, 7]
Generated Node #0,0,3: 48:[55, 7] Operation: 42-35=7
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 48:[55, 7], Operations: ['73-18=55', '42-35=7']
Exploring Operation: 55+7=62, Resulting Numbers: [62]
62,48 unequal: No Solution
Exploring Operation: 55-7=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Moving to Node #0
Current State: 48:[18, 73, 42, 35], Operations: []
Exploring Operation: 73-18=55, Resulting Numbers: [42, 35, 55]
Generated Node #0,0: 48:[42, 35, 55] Operation: 73-18=55
Moving to Node #0,0
Current State: 48:[42, 35, 55], Operations: ['73-18=55']
Exploring Operation: 42-35=7, Resulting Numbers: [55, 7]
Generated Node #0,0,3: 48:[55, 7] Operation: 42-35=7
Moving to Node #0,0,3
Current State: 48:[55, 7], Operations: ['73-18=55', '42-35=7']
Exploring Operation: 55-7=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Exit Sub Search at level 1
| 0.970486 | hs_4 | sum_heuristic |
[
7,
95,
11,
56
] | 57 | [
"7+95=102",
"56-11=45",
"102-45=57"
] | Current State: 57:[7, 95, 11, 56], Operations: []
Exploring Operation: 7+95=102, Resulting Numbers: [11, 56, 102]
Generated Node #2: [11, 56, 102] from Operation: 7+95=102
Current State: 57:[11, 56, 102], Operations: ['7+95=102']
Exploring Operation: 56-11=45, Resulting Numbers: [102, 45]
Generated Node #3: [102, 45] from Operation: 56-11=45
Current State: 57:[102, 45], Operations: ['7+95=102', '56-11=45']
Exploring Operation: 102-45=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[7, 95, 11, 56], Operations: []
Exploring Operation: 11-7=4, Resulting Numbers: [95, 56, 4]
Generated Node #0,0: 57:[95, 56, 4] Operation: 11-7=4
Exploring Operation: 7+11=18, Resulting Numbers: [95, 56, 18]
Generated Node #0,1: 57:[95, 56, 18] Operation: 7+11=18
Exploring Operation: 95-56=39, Resulting Numbers: [7, 11, 39]
Generated Node #0,2: 57:[7, 11, 39] Operation: 95-56=39
Exploring Operation: 95-11=84, Resulting Numbers: [7, 56, 84]
Generated Node #0,3: 57:[7, 56, 84] Operation: 95-11=84
Exploring Operation: 95-7=88, Resulting Numbers: [11, 56, 88]
Generated Node #0,4: 57:[11, 56, 88] Operation: 95-7=88
Moving to Node #0,2
Current State: 57:[7, 11, 39], Operations: ['95-56=39']
Exploring Operation: 7+11=18, Resulting Numbers: [39, 18]
Generated Node #0,2,0: 57:[39, 18] Operation: 7+11=18
Exploring Operation: 11+39=50, Resulting Numbers: [7, 50]
Generated Node #0,2,1: 57:[7, 50] Operation: 11+39=50
Exploring Operation: 11-7=4, Resulting Numbers: [39, 4]
Generated Node #0,2,2: 57:[39, 4] Operation: 11-7=4
Exploring Operation: 7+39=46, Resulting Numbers: [11, 46]
Generated Node #0,2,3: 57:[11, 46] Operation: 7+39=46
Exploring Operation: 39-11=28, Resulting Numbers: [7, 28]
Generated Node #0,2,4: 57:[7, 28] Operation: 39-11=28
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 57:[7, 50], Operations: ['95-56=39', '11+39=50']
Exploring Operation: 7*50=350, Resulting Numbers: [350]
350,57 unequal: No Solution
Exploring Operation: 50-7=43, Resulting Numbers: [43]
43,57 unequal: No Solution
Exploring Operation: 7+50=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Moving to Node #0
Current State: 57:[7, 95, 11, 56], Operations: []
Exploring Operation: 95-56=39, Resulting Numbers: [7, 11, 39]
Generated Node #0,2: 57:[7, 11, 39] Operation: 95-56=39
Moving to Node #0,2
Current State: 57:[7, 11, 39], Operations: ['95-56=39']
Exploring Operation: 11+39=50, Resulting Numbers: [7, 50]
Generated Node #0,2,1: 57:[7, 50] Operation: 11+39=50
Moving to Node #0,2,1
Current State: 57:[7, 50], Operations: ['95-56=39', '11+39=50']
Exploring Operation: 7+50=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_5 | sum_heuristic |
[
45,
20,
18,
76
] | 68 | [
"20*18=360",
"360/45=8",
"76-8=68"
] | Current State: 68:[45, 20, 18, 76], Operations: []
Exploring Operation: 20*18=360, Resulting Numbers: [45, 76, 360]
Generated Node #2: [45, 76, 360] from Operation: 20*18=360
Current State: 68:[45, 76, 360], Operations: ['20*18=360']
Exploring Operation: 360/45=8, Resulting Numbers: [76, 8]
Generated Node #3: [76, 8] from Operation: 360/45=8
Current State: 68:[76, 8], Operations: ['20*18=360', '360/45=8']
Exploring Operation: 76-8=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[45, 20, 18, 76], Operations: []
Exploring Operation: 45+18=63, Resulting Numbers: [20, 76, 63]
Generated Node #0,0: 68:[20, 76, 63] Operation: 45+18=63
Exploring Operation: 45-20=25, Resulting Numbers: [18, 76, 25]
Generated Node #0,1: 68:[18, 76, 25] Operation: 45-20=25
Exploring Operation: 45+20=65, Resulting Numbers: [18, 76, 65]
Generated Node #0,2: 68:[18, 76, 65] Operation: 45+20=65
Exploring Operation: 45-18=27, Resulting Numbers: [20, 76, 27]
Generated Node #0,3: 68:[20, 76, 27] Operation: 45-18=27
Exploring Operation: 76-45=31, Resulting Numbers: [20, 18, 31]
Generated Node #0,4: 68:[20, 18, 31] Operation: 76-45=31
Moving to Node #0,4
Current State: 68:[20, 18, 31], Operations: ['76-45=31']
Exploring Operation: 20+31=51, Resulting Numbers: [18, 51]
Generated Node #0,4,0: 68:[18, 51] Operation: 20+31=51
Exploring Operation: 31-18=13, Resulting Numbers: [20, 13]
Generated Node #0,4,1: 68:[20, 13] Operation: 31-18=13
Exploring Operation: 31-20=11, Resulting Numbers: [18, 11]
Generated Node #0,4,2: 68:[18, 11] Operation: 31-20=11
Exploring Operation: 20-18=2, Resulting Numbers: [31, 2]
Generated Node #0,4,3: 68:[31, 2] Operation: 20-18=2
Exploring Operation: 20+18=38, Resulting Numbers: [31, 38]
Generated Node #0,4,4: 68:[31, 38] Operation: 20+18=38
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 68:[31, 2], Operations: ['76-45=31', '20-18=2']
Exploring Operation: 31+2=33, Resulting Numbers: [33]
33,68 unequal: No Solution
Exploring Operation: 31-2=29, Resulting Numbers: [29]
29,68 unequal: No Solution
Exploring Operation: 31*2=62, Resulting Numbers: [62]
62,68 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 #0,4,1
Current State: 68:[20, 13], Operations: ['76-45=31', '31-18=13']
Exploring Operation: 20-13=7, Resulting Numbers: [7]
7,68 unequal: No Solution
Exploring Operation: 20*13=260, Resulting Numbers: [260]
260,68 unequal: No Solution
Exploring Operation: 20+13=33, Resulting Numbers: [33]
33,68 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 #0,4,2
Current State: 68:[18, 11], Operations: ['76-45=31', '31-20=11']
Exploring Operation: 18+11=29, Resulting Numbers: [29]
29,68 unequal: No Solution
Exploring Operation: 18-11=7, Resulting Numbers: [7]
7,68 unequal: No Solution
Exploring Operation: 18*11=198, Resulting Numbers: [198]
198,68 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 #0,4,4
Current State: 68:[31, 38], Operations: ['76-45=31', '20+18=38']
Exploring Operation: 31+38=69, Resulting Numbers: [69]
69,68 unequal: No Solution
Exploring Operation: 38-31=7, Resulting Numbers: [7]
7,68 unequal: No Solution
Exploring Operation: 31*38=1178, Resulting Numbers: [1178]
1178,68 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 #0,4,0
Current State: 68:[18, 51], Operations: ['76-45=31', '20+31=51']
Exploring Operation: 51-18=33, Resulting Numbers: [33]
33,68 unequal: No Solution
Exploring Operation: 18*51=918, Resulting Numbers: [918]
918,68 unequal: No Solution
Exploring Operation: 18+51=69, Resulting Numbers: [69]
69,68 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: 68:[18, 76, 65], Operations: ['45+20=65']
Exploring Operation: 18+76=94, Resulting Numbers: [65, 94]
Generated Node #0,2,0: 68:[65, 94] Operation: 18+76=94
Exploring Operation: 76-65=11, Resulting Numbers: [18, 11]
Generated Node #0,2,1: 68:[18, 11] Operation: 76-65=11
Exploring Operation: 76-18=58, Resulting Numbers: [65, 58]
Generated Node #0,2,2: 68:[65, 58] Operation: 76-18=58
Exploring Operation: 18+65=83, Resulting Numbers: [76, 83]
Generated Node #0,2,3: 68:[76, 83] Operation: 18+65=83
Exploring Operation: 65-18=47, Resulting Numbers: [76, 47]
Generated Node #0,2,4: 68:[76, 47] Operation: 65-18=47
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 68:[18, 11], Operations: ['45+20=65', '76-65=11']
Exploring Operation: 18-11=7, Resulting Numbers: [7]
7,68 unequal: No Solution
Exploring Operation: 18+11=29, Resulting Numbers: [29]
29,68 unequal: No Solution
Exploring Operation: 18*11=198, Resulting Numbers: [198]
198,68 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 #0,2,2
Current State: 68:[65, 58], Operations: ['45+20=65', '76-18=58']
Exploring Operation: 65-58=7, Resulting Numbers: [7]
7,68 unequal: No Solution
Exploring Operation: 65*58=3770, Resulting Numbers: [3770]
3770,68 unequal: No Solution
Exploring Operation: 65+58=123, Resulting Numbers: [123]
123,68 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 #0,2,4
Current State: 68:[76, 47], Operations: ['45+20=65', '65-18=47']
Exploring Operation: 76+47=123, Resulting Numbers: [123]
123,68 unequal: No Solution
Exploring Operation: 76-47=29, Resulting Numbers: [29]
29,68 unequal: No Solution
Exploring Operation: 76*47=3572, Resulting Numbers: [3572]
3572,68 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 #0,2,3
Current State: 68:[76, 83], Operations: ['45+20=65', '18+65=83']
Exploring Operation: 76+83=159, Resulting Numbers: [159]
159,68 unequal: No Solution
Exploring Operation: 76*83=6308, Resulting Numbers: [6308]
6308,68 unequal: No Solution
Exploring Operation: 83-76=7, Resulting Numbers: [7]
7,68 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 #0,2,0
Current State: 68:[65, 94], Operations: ['45+20=65', '18+76=94']
Exploring Operation: 65+94=159, Resulting Numbers: [159]
159,68 unequal: No Solution
Exploring Operation: 65*94=6110, Resulting Numbers: [6110]
6110,68 unequal: No Solution
Exploring Operation: 94-65=29, Resulting Numbers: [29]
29,68 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: 68:[20, 76, 63], Operations: ['45+18=63']
Exploring Operation: 76-63=13, Resulting Numbers: [20, 13]
Generated Node #0,0,0: 68:[20, 13] Operation: 76-63=13
Exploring Operation: 20+76=96, Resulting Numbers: [63, 96]
Generated Node #0,0,1: 68:[63, 96] Operation: 20+76=96
Exploring Operation: 76-20=56, Resulting Numbers: [63, 56]
Generated Node #0,0,2: 68:[63, 56] Operation: 76-20=56
Exploring Operation: 20+63=83, Resulting Numbers: [76, 83]
Generated Node #0,0,3: 68:[76, 83] Operation: 20+63=83
Exploring Operation: 63-20=43, Resulting Numbers: [76, 43]
Generated Node #0,0,4: 68:[76, 43] Operation: 63-20=43
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 68:[20, 13], Operations: ['45+18=63', '76-63=13']
Exploring Operation: 20*13=260, Resulting Numbers: [260]
260,68 unequal: No Solution
Exploring Operation: 20+13=33, Resulting Numbers: [33]
33,68 unequal: No Solution
Exploring Operation: 20-13=7, Resulting Numbers: [7]
7,68 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 #0,0,2
Current State: 68:[63, 56], Operations: ['45+18=63', '76-20=56']
Exploring Operation: 63+56=119, Resulting Numbers: [119]
119,68 unequal: No Solution
Exploring Operation: 63*56=3528, Resulting Numbers: [3528]
3528,68 unequal: No Solution
Exploring Operation: 63-56=7, Resulting Numbers: [7]
7,68 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 #0,0,4
Current State: 68:[76, 43], Operations: ['45+18=63', '63-20=43']
Exploring Operation: 76-43=33, Resulting Numbers: [33]
33,68 unequal: No Solution
Exploring Operation: 76*43=3268, Resulting Numbers: [3268]
3268,68 unequal: No Solution
Exploring Operation: 76+43=119, Resulting Numbers: [119]
119,68 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 #0,0,3
Current State: 68:[76, 83], Operations: ['45+18=63', '20+63=83']
Exploring Operation: 83-76=7, Resulting Numbers: [7]
7,68 unequal: No Solution
Exploring Operation: 76*83=6308, Resulting Numbers: [6308]
6308,68 unequal: No Solution
Exploring Operation: 76+83=159, Resulting Numbers: [159]
159,68 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 #0,0,1
Current State: 68:[63, 96], Operations: ['45+18=63', '20+76=96']
Exploring Operation: 63+96=159, Resulting Numbers: [159]
159,68 unequal: No Solution
Exploring Operation: 96-63=33, Resulting Numbers: [33]
33,68 unequal: No Solution
Exploring Operation: 63*96=6048, Resulting Numbers: [6048]
6048,68 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: 68:[18, 76, 25], Operations: ['45-20=25']
Exploring Operation: 76-18=58, Resulting Numbers: [25, 58]
Generated Node #0,1,0: 68:[25, 58] Operation: 76-18=58
Exploring Operation: 76-25=51, Resulting Numbers: [18, 51]
Generated Node #0,1,1: 68:[18, 51] Operation: 76-25=51
Exploring Operation: 18+76=94, Resulting Numbers: [25, 94]
Generated Node #0,1,2: 68:[25, 94] Operation: 18+76=94
Exploring Operation: 25-18=7, Resulting Numbers: [76, 7]
Generated Node #0,1,3: 68:[76, 7] Operation: 25-18=7
Exploring Operation: 18+25=43, Resulting Numbers: [76, 43]
Generated Node #0,1,4: 68:[76, 43] Operation: 18+25=43
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 68:[76, 7], Operations: ['45-20=25', '25-18=7']
Exploring Operation: 76+7=83, Resulting Numbers: [83]
83,68 unequal: No Solution
Exploring Operation: 76*7=532, Resulting Numbers: [532]
532,68 unequal: No Solution
Exploring Operation: 76-7=69, Resulting Numbers: [69]
69,68 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 #0,1,4
Current State: 68:[76, 43], Operations: ['45-20=25', '18+25=43']
Exploring Operation: 76+43=119, Resulting Numbers: [119]
119,68 unequal: No Solution
Exploring Operation: 76*43=3268, Resulting Numbers: [3268]
3268,68 unequal: No Solution
Exploring Operation: 76-43=33, Resulting Numbers: [33]
33,68 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:[25, 58], Operations: ['45-20=25', '76-18=58']
Exploring Operation: 25*58=1450, Resulting Numbers: [1450]
1450,68 unequal: No Solution
Exploring Operation: 58-25=33, Resulting Numbers: [33]
33,68 unequal: No Solution
Exploring Operation: 25+58=83, Resulting Numbers: [83]
83,68 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:[18, 51], Operations: ['45-20=25', '76-25=51']
Exploring Operation: 18+51=69, Resulting Numbers: [69]
69,68 unequal: No Solution
Exploring Operation: 51-18=33, Resulting Numbers: [33]
33,68 unequal: No Solution
Exploring Operation: 18*51=918, Resulting Numbers: [918]
918,68 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:[25, 94], Operations: ['45-20=25', '18+76=94']
Exploring Operation: 25+94=119, Resulting Numbers: [119]
119,68 unequal: No Solution
Exploring Operation: 25*94=2350, Resulting Numbers: [2350]
2350,68 unequal: No Solution
Exploring Operation: 94-25=69, Resulting Numbers: [69]
69,68 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:[20, 76, 27], Operations: ['45-18=27']
Exploring Operation: 20+76=96, Resulting Numbers: [27, 96]
Generated Node #0,3,0: 68:[27, 96] Operation: 20+76=96
Exploring Operation: 76-20=56, Resulting Numbers: [27, 56]
Generated Node #0,3,1: 68:[27, 56] Operation: 76-20=56
Exploring Operation: 27-20=7, Resulting Numbers: [76, 7]
Generated Node #0,3,2: 68:[76, 7] Operation: 27-20=7
Exploring Operation: 20+27=47, Resulting Numbers: [76, 47]
Generated Node #0,3,3: 68:[76, 47] Operation: 20+27=47
Exploring Operation: 76-27=49, Resulting Numbers: [20, 49]
Generated Node #0,3,4: 68:[20, 49] Operation: 76-27=49
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 68:[76, 7], Operations: ['45-18=27', '27-20=7']
Exploring Operation: 76*7=532, Resulting Numbers: [532]
532,68 unequal: No Solution
Exploring Operation: 76+7=83, Resulting Numbers: [83]
83,68 unequal: No Solution
Exploring Operation: 76-7=69, Resulting Numbers: [69]
69,68 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 #0,3,4
Current State: 68:[20, 49], Operations: ['45-18=27', '76-27=49']
Exploring Operation: 49-20=29, Resulting Numbers: [29]
29,68 unequal: No Solution
Exploring Operation: 20+49=69, Resulting Numbers: [69]
69,68 unequal: No Solution
Exploring Operation: 20*49=980, Resulting Numbers: [980]
980,68 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 #0,3,1
Current State: 68:[27, 56], Operations: ['45-18=27', '76-20=56']
Exploring Operation: 27*56=1512, Resulting Numbers: [1512]
1512,68 unequal: No Solution
Exploring Operation: 56-27=29, Resulting Numbers: [29]
29,68 unequal: No Solution
Exploring Operation: 27+56=83, Resulting Numbers: [83]
83,68 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 #0,3,3
Current State: 68:[76, 47], Operations: ['45-18=27', '20+27=47']
Exploring Operation: 76*47=3572, Resulting Numbers: [3572]
3572,68 unequal: No Solution
Exploring Operation: 76-47=29, Resulting Numbers: [29]
29,68 unequal: No Solution
Exploring Operation: 76+47=123, Resulting Numbers: [123]
123,68 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 #0,3,0
Current State: 68:[27, 96], Operations: ['45-18=27', '20+76=96']
Exploring Operation: 27+96=123, Resulting Numbers: [123]
123,68 unequal: No Solution
Exploring Operation: 96-27=69, Resulting Numbers: [69]
69,68 unequal: No Solution
Exploring Operation: 27*96=2592, Resulting Numbers: [2592]
2592,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
2,
18,
21,
28
] | 62 | [
"21-18=3",
"28+3=31",
"2*31=62"
] | Current State: 62:[2, 18, 21, 28], Operations: []
Exploring Operation: 21-18=3, Resulting Numbers: [2, 28, 3]
Generated Node #2: [2, 28, 3] from Operation: 21-18=3
Current State: 62:[2, 28, 3], Operations: ['21-18=3']
Exploring Operation: 28+3=31, Resulting Numbers: [2, 31]
Generated Node #3: [2, 31] from Operation: 28+3=31
Current State: 62:[2, 31], Operations: ['21-18=3', '28+3=31']
Exploring Operation: 2*31=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[2, 18, 21, 28], Operations: []
Exploring Operation: 21-18=3, Resulting Numbers: [2, 28, 3]
Generated Node #0,0: 62:[2, 28, 3] Operation: 21-18=3
Exploring Operation: 18+21=39, Resulting Numbers: [2, 28, 39]
Generated Node #0,1: 62:[2, 28, 39] Operation: 18+21=39
Moving to Node #0,0
Current State: 62:[2, 28, 3], Operations: ['21-18=3']
Exploring Operation: 2+28=30, Resulting Numbers: [3, 30]
Generated Node #0,0,0: 62:[3, 30] Operation: 2+28=30
Exploring Operation: 28+3=31, Resulting Numbers: [2, 31]
Generated Node #0,0,1: 62:[2, 31] Operation: 28+3=31
Moving to Node #0,1
Current State: 62:[2, 28, 39], Operations: ['18+21=39']
Exploring Operation: 2+28=30, Resulting Numbers: [39, 30]
Generated Node #0,1,0: 62:[39, 30] Operation: 2+28=30
Exploring Operation: 28+39=67, Resulting Numbers: [2, 67]
Generated Node #0,1,1: 62:[2, 67] Operation: 28+39=67
Moving to Node #0,0,1
Current State: 62:[2, 31], Operations: ['21-18=3', '28+3=31']
Exploring Operation: 2+31=33, Resulting Numbers: [33]
33,62 unequal: No Solution
Exploring Operation: 2*31=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Moving to Node #0
Current State: 62:[2, 18, 21, 28], Operations: []
Exploring Operation: 21-18=3, Resulting Numbers: [2, 28, 3]
Generated Node #0,0: 62:[2, 28, 3] Operation: 21-18=3
Moving to Node #0,0
Current State: 62:[2, 28, 3], Operations: ['21-18=3']
Exploring Operation: 28+3=31, Resulting Numbers: [2, 31]
Generated Node #0,0,1: 62:[2, 31] Operation: 28+3=31
Moving to Node #0,0,1
Current State: 62:[2, 31], Operations: ['21-18=3', '28+3=31']
Exploring Operation: 2*31=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 0.989583 | hs_2 | sum_heuristic |
[
51,
3,
78,
56
] | 91 | [
"51-3=48",
"78*56=4368",
"4368/48=91"
] | Current State: 91:[51, 3, 78, 56], Operations: []
Exploring Operation: 51-3=48, Resulting Numbers: [78, 56, 48]
Generated Node #2: [78, 56, 48] from Operation: 51-3=48
Current State: 91:[78, 56, 48], Operations: ['51-3=48']
Exploring Operation: 78*56=4368, Resulting Numbers: [48, 4368]
Generated Node #3: [48, 4368] from Operation: 78*56=4368
Current State: 91:[48, 4368], Operations: ['51-3=48', '78*56=4368']
Exploring Operation: 4368/48=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[51, 3, 78, 56], Operations: []
Exploring Operation: 51+56=107, Resulting Numbers: [3, 78, 107]
Generated Node #0,0: 91:[3, 78, 107] Operation: 51+56=107
Exploring Operation: 78-56=22, Resulting Numbers: [51, 3, 22]
Generated Node #0,1: 91:[51, 3, 22] Operation: 78-56=22
Exploring Operation: 56-51=5, Resulting Numbers: [3, 78, 5]
Generated Node #0,2: 91:[3, 78, 5] Operation: 56-51=5
Start Sub Search at level 1: Moving to Node #0,2
Current State: 91:[3, 78, 5], Operations: ['56-51=5']
Exploring Operation: 3+5=8, Resulting Numbers: [78, 8]
Generated Node #0,2,0: 91:[78, 8] Operation: 3+5=8
Exploring Operation: 78+5=83, Resulting Numbers: [3, 83]
Generated Node #0,2,1: 91:[3, 83] Operation: 78+5=83
Exploring Operation: 3+78=81, Resulting Numbers: [5, 81]
Generated Node #0,2,2: 91:[5, 81] Operation: 3+78=81
Moving to Node #0,2,1
Current State: 91:[3, 83], Operations: ['56-51=5', '78+5=83']
Exploring Operation: 3*83=249, Resulting Numbers: [249]
249,91 unequal: No Solution
Exploring Operation: 3+83=86, Resulting Numbers: [86]
86,91 unequal: No Solution
Exploring Operation: 83-3=80, Resulting Numbers: [80]
80,91 unequal: No Solution
Moving to Node #0,2,2
Current State: 91:[5, 81], Operations: ['56-51=5', '3+78=81']
Exploring Operation: 5*81=405, Resulting Numbers: [405]
405,91 unequal: No Solution
Exploring Operation: 81-5=76, Resulting Numbers: [76]
76,91 unequal: No Solution
Exploring Operation: 5+81=86, Resulting Numbers: [86]
86,91 unequal: No Solution
Moving to Node #0,2,0
Current State: 91:[78, 8], Operations: ['56-51=5', '3+5=8']
Exploring Operation: 78+8=86, Resulting Numbers: [86]
86,91 unequal: No Solution
Exploring Operation: 78-8=70, Resulting Numbers: [70]
70,91 unequal: No Solution
Exploring Operation: 78*8=624, Resulting Numbers: [624]
624,91 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
Current State: 91:[3, 78, 107], Operations: ['51+56=107']
Exploring Operation: 3+78=81, Resulting Numbers: [107, 81]
Generated Node #0,0,0: 91:[107, 81] Operation: 3+78=81
Exploring Operation: 107-78=29, Resulting Numbers: [3, 29]
Generated Node #0,0,1: 91:[3, 29] Operation: 107-78=29
Exploring Operation: 107-3=104, Resulting Numbers: [78, 104]
Generated Node #0,0,2: 91:[78, 104] Operation: 107-3=104
Moving to Node #0,0,1
Current State: 91:[3, 29], Operations: ['51+56=107', '107-78=29']
Exploring Operation: 3+29=32, Resulting Numbers: [32]
32,91 unequal: No Solution
Exploring Operation: 29-3=26, Resulting Numbers: [26]
26,91 unequal: No Solution
Exploring Operation: 3*29=87, Resulting Numbers: [87]
87,91 unequal: No Solution
Moving to Node #0,0,0
Current State: 91:[107, 81], Operations: ['51+56=107', '3+78=81']
Exploring Operation: 107+81=188, Resulting Numbers: [188]
188,91 unequal: No Solution
Exploring Operation: 107*81=8667, Resulting Numbers: [8667]
8667,91 unequal: No Solution
Exploring Operation: 107-81=26, Resulting Numbers: [26]
26,91 unequal: No Solution
Moving to Node #0,0,2
Current State: 91:[78, 104], Operations: ['51+56=107', '107-3=104']
Exploring Operation: 78+104=182, Resulting Numbers: [182]
182,91 unequal: No Solution
Exploring Operation: 78*104=8112, Resulting Numbers: [8112]
8112,91 unequal: No Solution
Exploring Operation: 104-78=26, Resulting Numbers: [26]
26,91 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
Current State: 91:[51, 3, 22], Operations: ['78-56=22']
Exploring Operation: 51+22=73, Resulting Numbers: [3, 73]
Generated Node #0,1,0: 91:[3, 73] Operation: 51+22=73
Exploring Operation: 51-22=29, Resulting Numbers: [3, 29]
Generated Node #0,1,1: 91:[3, 29] Operation: 51-22=29
Exploring Operation: 51/3=17, Resulting Numbers: [22, 17]
Generated Node #0,1,2: 91:[22, 17] Operation: 51/3=17
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 91:[22, 17], Operations: ['78-56=22', '51/3=17']
Exploring Operation: 22-17=5, Resulting Numbers: [5]
5,91 unequal: No Solution
Exploring Operation: 22+17=39, Resulting Numbers: [39]
39,91 unequal: No Solution
Exploring Operation: 22*17=374, Resulting Numbers: [374]
374,91 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: 91:[3, 29], Operations: ['78-56=22', '51-22=29']
Exploring Operation: 29-3=26, Resulting Numbers: [26]
26,91 unequal: No Solution
Exploring Operation: 3*29=87, Resulting Numbers: [87]
87,91 unequal: No Solution
Exploring Operation: 3+29=32, Resulting Numbers: [32]
32,91 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: 91:[3, 73], Operations: ['78-56=22', '51+22=73']
Exploring Operation: 3*73=219, Resulting Numbers: [219]
219,91 unequal: No Solution
Exploring Operation: 73-3=70, Resulting Numbers: [70]
70,91 unequal: No Solution
Exploring Operation: 3+73=76, Resulting Numbers: [76]
76,91 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 | sum_heuristic |
[
77,
42,
83,
54
] | 16 | [
"83-77=6",
"42+54=96",
"96/6=16"
] | Current State: 16:[77, 42, 83, 54], Operations: []
Exploring Operation: 83-77=6, Resulting Numbers: [42, 54, 6]
Generated Node #2: [42, 54, 6] from Operation: 83-77=6
Current State: 16:[42, 54, 6], Operations: ['83-77=6']
Exploring Operation: 42+54=96, Resulting Numbers: [6, 96]
Generated Node #3: [6, 96] from Operation: 42+54=96
Current State: 16:[6, 96], Operations: ['83-77=6', '42+54=96']
Exploring Operation: 96/6=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[77, 42, 83, 54], Operations: []
Exploring Operation: 77-54=23, Resulting Numbers: [42, 83, 23]
Generated Node #0,0: 16:[42, 83, 23] Operation: 77-54=23
Exploring Operation: 83-77=6, Resulting Numbers: [42, 54, 6]
Generated Node #0,1: 16:[42, 54, 6] Operation: 83-77=6
Moving to Node #0,1
Current State: 16:[42, 54, 6], Operations: ['83-77=6']
Exploring Operation: 54/6=9, Resulting Numbers: [42, 9]
Generated Node #0,1,0: 16:[42, 9] Operation: 54/6=9
Exploring Operation: 54-42=12, Resulting Numbers: [6, 12]
Generated Node #0,1,1: 16:[6, 12] Operation: 54-42=12
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 16:[6, 12], Operations: ['83-77=6', '54-42=12']
Exploring Operation: 6+12=18, Resulting Numbers: [18]
18,16 unequal: No Solution
Exploring Operation: 12/6=2, Resulting Numbers: [2]
2,16 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: 16:[42, 9], Operations: ['83-77=6', '54/6=9']
Exploring Operation: 42-9=33, Resulting Numbers: [33]
33,16 unequal: No Solution
Exploring Operation: 42+9=51, Resulting Numbers: [51]
51,16 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: 16:[42, 83, 23], Operations: ['77-54=23']
Exploring Operation: 42-23=19, Resulting Numbers: [83, 19]
Generated Node #0,0,0: 16:[83, 19] Operation: 42-23=19
Exploring Operation: 83-42=41, Resulting Numbers: [23, 41]
Generated Node #0,0,1: 16:[23, 41] Operation: 83-42=41
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 16:[23, 41], Operations: ['77-54=23', '83-42=41']
Exploring Operation: 41-23=18, Resulting Numbers: [18]
18,16 unequal: No Solution
Exploring Operation: 23+41=64, Resulting Numbers: [64]
64,16 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: 16:[83, 19], Operations: ['77-54=23', '42-23=19']
Exploring Operation: 83+19=102, Resulting Numbers: [102]
102,16 unequal: No Solution
Exploring Operation: 83-19=64, Resulting Numbers: [64]
64,16 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 |
[
80,
77,
25,
9
] | 68 | [
"80+77=157",
"25*9=225",
"225-157=68"
] | Current State: 68:[80, 77, 25, 9], Operations: []
Exploring Operation: 80+77=157, Resulting Numbers: [25, 9, 157]
Generated Node #2: [25, 9, 157] from Operation: 80+77=157
Current State: 68:[25, 9, 157], Operations: ['80+77=157']
Exploring Operation: 25*9=225, Resulting Numbers: [157, 225]
Generated Node #3: [157, 225] from Operation: 25*9=225
Current State: 68:[157, 225], Operations: ['80+77=157', '25*9=225']
Exploring Operation: 225-157=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[80, 77, 25, 9], Operations: []
Exploring Operation: 80-77=3, Resulting Numbers: [25, 9, 3]
Generated Node #0,0: 68:[25, 9, 3] Operation: 80-77=3
Exploring Operation: 80-9=71, Resulting Numbers: [77, 25, 71]
Generated Node #0,1: 68:[77, 25, 71] Operation: 80-9=71
Start Sub Search at level 1: Moving to Node #0,0
Current State: 68:[25, 9, 3], Operations: ['80-77=3']
Exploring Operation: 25-9=16, Resulting Numbers: [3, 16]
Generated Node #0,0,0: 68:[3, 16] Operation: 25-9=16
Exploring Operation: 25+9=34, Resulting Numbers: [3, 34]
Generated Node #0,0,1: 68:[3, 34] Operation: 25+9=34
Moving to Node #0,0,1
Current State: 68:[3, 34], Operations: ['80-77=3', '25+9=34']
Exploring Operation: 3+34=37, Resulting Numbers: [37]
37,68 unequal: No Solution
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,68 unequal: No Solution
Moving to Node #0,0,0
Current State: 68:[3, 16], Operations: ['80-77=3', '25-9=16']
Exploring Operation: 3+16=19, Resulting Numbers: [19]
19,68 unequal: No Solution
Exploring Operation: 16-3=13, Resulting Numbers: [13]
13,68 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
Current State: 68:[77, 25, 71], Operations: ['80-9=71']
Exploring Operation: 77-71=6, Resulting Numbers: [25, 6]
Generated Node #0,1,0: 68:[25, 6] Operation: 77-71=6
Exploring Operation: 77-25=52, Resulting Numbers: [71, 52]
Generated Node #0,1,1: 68:[71, 52] Operation: 77-25=52
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 68:[25, 6], Operations: ['80-9=71', '77-71=6']
Exploring Operation: 25-6=19, Resulting Numbers: [19]
19,68 unequal: No Solution
Exploring Operation: 25+6=31, Resulting Numbers: [31]
31,68 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:[71, 52], Operations: ['80-9=71', '77-25=52']
Exploring Operation: 71-52=19, Resulting Numbers: [19]
19,68 unequal: No Solution
Exploring Operation: 71+52=123, Resulting Numbers: [123]
123,68 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_2 | mult_heuristic |
[
66,
4,
81,
22
] | 82 | [
"81-66=15",
"4*15=60",
"22+60=82"
] | Current State: 82:[66, 4, 81, 22], Operations: []
Exploring Operation: 81-66=15, Resulting Numbers: [4, 22, 15]
Generated Node #2: [4, 22, 15] from Operation: 81-66=15
Current State: 82:[4, 22, 15], Operations: ['81-66=15']
Exploring Operation: 4*15=60, Resulting Numbers: [22, 60]
Generated Node #3: [22, 60] from Operation: 4*15=60
Current State: 82:[22, 60], Operations: ['81-66=15', '4*15=60']
Exploring Operation: 22+60=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[66, 4, 81, 22], Operations: []
Exploring Operation: 66/22=3, Resulting Numbers: [4, 81, 3]
Generated Node #0,0: 82:[4, 81, 3] Operation: 66/22=3
Exploring Operation: 66-22=44, Resulting Numbers: [4, 81, 44]
Generated Node #0,1: 82:[4, 81, 44] Operation: 66-22=44
Moving to Node #0,0
Current State: 82:[4, 81, 3], Operations: ['66/22=3']
Exploring Operation: 4-3=1, Resulting Numbers: [81, 1]
Generated Node #0,0,0: 82:[81, 1] Operation: 4-3=1
Exploring Operation: 4+81=85, Resulting Numbers: [3, 85]
Generated Node #0,0,1: 82:[3, 85] Operation: 4+81=85
Moving to Node #0,1
Current State: 82:[4, 81, 44], Operations: ['66-22=44']
Exploring Operation: 4+81=85, Resulting Numbers: [44, 85]
Generated Node #0,1,0: 82:[44, 85] Operation: 4+81=85
Exploring Operation: 44-4=40, Resulting Numbers: [81, 40]
Generated Node #0,1,1: 82:[81, 40] Operation: 44-4=40
Moving to Node #0,0,0
Current State: 82:[81, 1], Operations: ['66/22=3', '4-3=1']
Exploring Operation: 81+1=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Moving to Node #0
Current State: 82:[66, 4, 81, 22], Operations: []
Exploring Operation: 66/22=3, Resulting Numbers: [4, 81, 3]
Generated Node #0,0: 82:[4, 81, 3] Operation: 66/22=3
Moving to Node #0,0
Current State: 82:[4, 81, 3], Operations: ['66/22=3']
Exploring Operation: 4-3=1, Resulting Numbers: [81, 1]
Generated Node #0,0,0: 82:[81, 1] Operation: 4-3=1
Moving to Node #0,0,0
Current State: 82:[81, 1], Operations: ['66/22=3', '4-3=1']
Exploring Operation: 81+1=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 0.990451 | hs_2 | sum_heuristic |
[
23,
7,
88,
40
] | 33 | [
"23*7=161",
"88+40=128",
"161-128=33"
] | Current State: 33:[23, 7, 88, 40], Operations: []
Exploring Operation: 23*7=161, Resulting Numbers: [88, 40, 161]
Generated Node #2: [88, 40, 161] from Operation: 23*7=161
Current State: 33:[88, 40, 161], Operations: ['23*7=161']
Exploring Operation: 88+40=128, Resulting Numbers: [161, 128]
Generated Node #3: [161, 128] from Operation: 88+40=128
Current State: 33:[161, 128], Operations: ['23*7=161', '88+40=128']
Exploring Operation: 161-128=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[23, 7, 88, 40], Operations: []
Exploring Operation: 88-40=48, Resulting Numbers: [23, 7, 48]
Generated Node #0,0: 33:[23, 7, 48] Operation: 88-40=48
Exploring Operation: 88-23=65, Resulting Numbers: [7, 40, 65]
Generated Node #0,1: 33:[7, 40, 65] Operation: 88-23=65
Start Sub Search at level 1: Moving to Node #0,0
Current State: 33:[23, 7, 48], Operations: ['88-40=48']
Exploring Operation: 48-23=25, Resulting Numbers: [7, 25]
Generated Node #0,0,0: 33:[7, 25] Operation: 48-23=25
Exploring Operation: 23+7=30, Resulting Numbers: [48, 30]
Generated Node #0,0,1: 33:[48, 30] Operation: 23+7=30
Moving to Node #0,0,0
Current State: 33:[7, 25], Operations: ['88-40=48', '48-23=25']
Exploring Operation: 25-7=18, Resulting Numbers: [18]
18,33 unequal: No Solution
Exploring Operation: 7+25=32, Resulting Numbers: [32]
32,33 unequal: No Solution
Moving to Node #0,0,1
Current State: 33:[48, 30], Operations: ['88-40=48', '23+7=30']
Exploring Operation: 48-30=18, Resulting Numbers: [18]
18,33 unequal: No Solution
Exploring Operation: 48+30=78, Resulting Numbers: [78]
78,33 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: 33:[7, 40, 65], Operations: ['88-23=65']
Exploring Operation: 40-7=33, Resulting Numbers: [65, 33]
Generated Node #0,1,0: 33:[65, 33] Operation: 40-7=33
Exploring Operation: 65-40=25, Resulting Numbers: [7, 25]
Generated Node #0,1,1: 33:[7, 25] Operation: 65-40=25
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 33:[7, 25], Operations: ['88-23=65', '65-40=25']
Exploring Operation: 25-7=18, Resulting Numbers: [18]
18,33 unequal: No Solution
Exploring Operation: 7+25=32, Resulting Numbers: [32]
32,33 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: 33:[65, 33], Operations: ['88-23=65', '40-7=33']
Exploring Operation: 65-33=32, Resulting Numbers: [32]
32,33 unequal: No Solution
Exploring Operation: 65+33=98, Resulting Numbers: [98]
98,33 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 |
[
86,
89,
46,
94
] | 44 | [
"89-86=3",
"46*3=138",
"138-94=44"
] | Current State: 44:[86, 89, 46, 94], Operations: []
Exploring Operation: 89-86=3, Resulting Numbers: [46, 94, 3]
Generated Node #2: [46, 94, 3] from Operation: 89-86=3
Current State: 44:[46, 94, 3], Operations: ['89-86=3']
Exploring Operation: 46*3=138, Resulting Numbers: [94, 138]
Generated Node #3: [94, 138] from Operation: 46*3=138
Current State: 44:[94, 138], Operations: ['89-86=3', '46*3=138']
Exploring Operation: 138-94=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[86, 89, 46, 94], Operations: []
Exploring Operation: 89-86=3, Resulting Numbers: [46, 94, 3]
Generated Node #0,0: 44:[46, 94, 3] Operation: 89-86=3
Exploring Operation: 94-89=5, Resulting Numbers: [86, 46, 5]
Generated Node #0,1: 44:[86, 46, 5] Operation: 94-89=5
Exploring Operation: 94-86=8, Resulting Numbers: [89, 46, 8]
Generated Node #0,2: 44:[89, 46, 8] Operation: 94-86=8
Moving to Node #0,1
Current State: 44:[86, 46, 5], Operations: ['94-89=5']
Exploring Operation: 86-5=81, Resulting Numbers: [46, 81]
Generated Node #0,1,0: 44:[46, 81] Operation: 86-5=81
Exploring Operation: 86-46=40, Resulting Numbers: [5, 40]
Generated Node #0,1,1: 44:[5, 40] Operation: 86-46=40
Exploring Operation: 46-5=41, Resulting Numbers: [86, 41]
Generated Node #0,1,2: 44:[86, 41] Operation: 46-5=41
Moving to Node #0,2
Current State: 44:[89, 46, 8], Operations: ['94-86=8']
Exploring Operation: 46-8=38, Resulting Numbers: [89, 38]
Generated Node #0,2,0: 44:[89, 38] Operation: 46-8=38
Exploring Operation: 89-46=43, Resulting Numbers: [8, 43]
Generated Node #0,2,1: 44:[8, 43] Operation: 89-46=43
Exploring Operation: 89-8=81, Resulting Numbers: [46, 81]
Generated Node #0,2,2: 44:[46, 81] Operation: 89-8=81
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 44:[8, 43], Operations: ['94-86=8', '89-46=43']
Exploring Operation: 8*43=344, Resulting Numbers: [344]
344,44 unequal: No Solution
Exploring Operation: 8+43=51, Resulting Numbers: [51]
51,44 unequal: No Solution
Exploring Operation: 43-8=35, Resulting Numbers: [35]
35,44 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: 44:[46, 81], Operations: ['94-86=8', '89-8=81']
Exploring Operation: 46*81=3726, Resulting Numbers: [3726]
3726,44 unequal: No Solution
Exploring Operation: 46+81=127, Resulting Numbers: [127]
127,44 unequal: No Solution
Exploring Operation: 81-46=35, Resulting Numbers: [35]
35,44 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: 44:[89, 38], Operations: ['94-86=8', '46-8=38']
Exploring Operation: 89*38=3382, Resulting Numbers: [3382]
3382,44 unequal: No Solution
Exploring Operation: 89-38=51, Resulting Numbers: [51]
51,44 unequal: No Solution
Exploring Operation: 89+38=127, Resulting Numbers: [127]
127,44 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: 44:[46, 94, 3], Operations: ['89-86=3']
Exploring Operation: 94-46=48, Resulting Numbers: [3, 48]
Generated Node #0,0,0: 44:[3, 48] Operation: 94-46=48
Exploring Operation: 46-3=43, Resulting Numbers: [94, 43]
Generated Node #0,0,1: 44:[94, 43] Operation: 46-3=43
Exploring Operation: 94-3=91, Resulting Numbers: [46, 91]
Generated Node #0,0,2: 44:[46, 91] Operation: 94-3=91
Moving to Node #0,1,1
Current State: 44:[5, 40], Operations: ['94-89=5', '86-46=40']
Exploring Operation: 40/5=8, Resulting Numbers: [8]
8,44 unequal: No Solution
Exploring Operation: 40-5=35, Resulting Numbers: [35]
35,44 unequal: No Solution
Exploring Operation: 5+40=45, Resulting Numbers: [45]
45,44 unequal: No Solution
Moving to Node #0,0,0
Current State: 44:[3, 48], Operations: ['89-86=3', '94-46=48']
Exploring Operation: 3+48=51, Resulting Numbers: [51]
51,44 unequal: No Solution
Exploring Operation: 48/3=16, Resulting Numbers: [16]
16,44 unequal: No Solution
Exploring Operation: 48-3=45, Resulting Numbers: [45]
45,44 unequal: No Solution
Moving to Node #0,1,0
Current State: 44:[46, 81], Operations: ['94-89=5', '86-5=81']
Exploring Operation: 81-46=35, Resulting Numbers: [35]
35,44 unequal: No Solution
Exploring Operation: 46*81=3726, Resulting Numbers: [3726]
3726,44 unequal: No Solution
Exploring Operation: 46+81=127, Resulting Numbers: [127]
127,44 unequal: No Solution
Moving to Node #0,1,2
Current State: 44:[86, 41], Operations: ['94-89=5', '46-5=41']
Exploring Operation: 86-41=45, Resulting Numbers: [45]
45,44 unequal: No Solution
Exploring Operation: 86*41=3526, Resulting Numbers: [3526]
3526,44 unequal: No Solution
Exploring Operation: 86+41=127, Resulting Numbers: [127]
127,44 unequal: No Solution
Moving to Node #0,0,2
Current State: 44:[46, 91], Operations: ['89-86=3', '94-3=91']
Exploring Operation: 46*91=4186, Resulting Numbers: [4186]
4186,44 unequal: No Solution
Exploring Operation: 46+91=137, Resulting Numbers: [137]
137,44 unequal: No Solution
Exploring Operation: 91-46=45, Resulting Numbers: [45]
45,44 unequal: No Solution
Moving to Node #0,0,1
Current State: 44:[94, 43], Operations: ['89-86=3', '46-3=43']
Exploring Operation: 94-43=51, Resulting Numbers: [51]
51,44 unequal: No Solution
Exploring Operation: 94+43=137, Resulting Numbers: [137]
137,44 unequal: No Solution
Exploring Operation: 94*43=4042, Resulting Numbers: [4042]
4042,44 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
23,
50,
25,
34
] | 64 | [
"23+50=73",
"34-25=9",
"73-9=64"
] | Current State: 64:[23, 50, 25, 34], Operations: []
Exploring Operation: 23+50=73, Resulting Numbers: [25, 34, 73]
Generated Node #2: [25, 34, 73] from Operation: 23+50=73
Current State: 64:[25, 34, 73], Operations: ['23+50=73']
Exploring Operation: 34-25=9, Resulting Numbers: [73, 9]
Generated Node #3: [73, 9] from Operation: 34-25=9
Current State: 64:[73, 9], Operations: ['23+50=73', '34-25=9']
Exploring Operation: 73-9=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[23, 50, 25, 34], Operations: []
Exploring Operation: 25-23=2, Resulting Numbers: [50, 34, 2]
Generated Node #0,0: 64:[50, 34, 2] Operation: 25-23=2
Exploring Operation: 50/25=2, Resulting Numbers: [23, 34, 2]
Generated Node #0,1: 64:[23, 34, 2] Operation: 50/25=2
Exploring Operation: 50-34=16, Resulting Numbers: [23, 25, 16]
Generated Node #0,2: 64:[23, 25, 16] Operation: 50-34=16
Exploring Operation: 50-25=25, Resulting Numbers: [23, 34, 25]
Generated Node #0,3: 64:[23, 34, 25] Operation: 50-25=25
Exploring Operation: 50-23=27, Resulting Numbers: [25, 34, 27]
Generated Node #0,4: 64:[25, 34, 27] Operation: 50-23=27
Start Sub Search at level 1: Moving to Node #0,1
Current State: 64:[23, 34, 2], Operations: ['50/25=2']
Exploring Operation: 23-2=21, Resulting Numbers: [34, 21]
Generated Node #0,1,0: 64:[34, 21] Operation: 23-2=21
Exploring Operation: 23+34=57, Resulting Numbers: [2, 57]
Generated Node #0,1,1: 64:[2, 57] Operation: 23+34=57
Exploring Operation: 34-2=32, Resulting Numbers: [23, 32]
Generated Node #0,1,2: 64:[23, 32] Operation: 34-2=32
Exploring Operation: 34/2=17, Resulting Numbers: [23, 17]
Generated Node #0,1,3: 64:[23, 17] Operation: 34/2=17
Exploring Operation: 34-23=11, Resulting Numbers: [2, 11]
Generated Node #0,1,4: 64:[2, 11] Operation: 34-23=11
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 64:[2, 11], Operations: ['50/25=2', '34-23=11']
Exploring Operation: 2+11=13, Resulting Numbers: [13]
13,64 unequal: No Solution
Exploring Operation: 2*11=22, Resulting Numbers: [22]
22,64 unequal: No Solution
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,64 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:[34, 21], Operations: ['50/25=2', '23-2=21']
Exploring Operation: 34+21=55, Resulting Numbers: [55]
55,64 unequal: No Solution
Exploring Operation: 34*21=714, Resulting Numbers: [714]
714,64 unequal: No Solution
Exploring Operation: 34-21=13, Resulting Numbers: [13]
13,64 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 #0,1,1
Current State: 64:[2, 57], Operations: ['50/25=2', '23+34=57']
Exploring Operation: 2+57=59, Resulting Numbers: [59]
59,64 unequal: No Solution
Exploring Operation: 2*57=114, Resulting Numbers: [114]
114,64 unequal: No Solution
Exploring Operation: 57-2=55, Resulting Numbers: [55]
55,64 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:[23, 32], Operations: ['50/25=2', '34-2=32']
Exploring Operation: 23+32=55, Resulting Numbers: [55]
55,64 unequal: No Solution
Exploring Operation: 32-23=9, Resulting Numbers: [9]
9,64 unequal: No Solution
Exploring Operation: 23*32=736, Resulting Numbers: [736]
736,64 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 #0,1,3
Current State: 64:[23, 17], Operations: ['50/25=2', '34/2=17']
Exploring Operation: 23*17=391, Resulting Numbers: [391]
391,64 unequal: No Solution
Exploring Operation: 23+17=40, Resulting Numbers: [40]
40,64 unequal: No Solution
Exploring Operation: 23-17=6, Resulting Numbers: [6]
6,64 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:[23, 25, 16], Operations: ['50-34=16']
Exploring Operation: 25-23=2, Resulting Numbers: [16, 2]
Generated Node #0,2,0: 64:[16, 2] Operation: 25-23=2
Exploring Operation: 23+16=39, Resulting Numbers: [25, 39]
Generated Node #0,2,1: 64:[25, 39] Operation: 23+16=39
Exploring Operation: 25-16=9, Resulting Numbers: [23, 9]
Generated Node #0,2,2: 64:[23, 9] Operation: 25-16=9
Exploring Operation: 23+25=48, Resulting Numbers: [16, 48]
Generated Node #0,2,3: 64:[16, 48] Operation: 23+25=48
Exploring Operation: 23-16=7, Resulting Numbers: [25, 7]
Generated Node #0,2,4: 64:[25, 7] Operation: 23-16=7
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 64:[16, 2], Operations: ['50-34=16', '25-23=2']
Exploring Operation: 16*2=32, Resulting Numbers: [32]
32,64 unequal: No Solution
Exploring Operation: 16-2=14, Resulting Numbers: [14]
14,64 unequal: No Solution
Exploring Operation: 16/2=8, Resulting Numbers: [8]
8,64 unequal: No Solution
Exploring Operation: 16+2=18, Resulting Numbers: [18]
18,64 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 #0,2,2
Current State: 64:[23, 9], Operations: ['50-34=16', '25-16=9']
Exploring Operation: 23*9=207, Resulting Numbers: [207]
207,64 unequal: No Solution
Exploring Operation: 23+9=32, Resulting Numbers: [32]
32,64 unequal: No Solution
Exploring Operation: 23-9=14, Resulting Numbers: [14]
14,64 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 #0,2,4
Current State: 64:[25, 7], Operations: ['50-34=16', '23-16=7']
Exploring Operation: 25*7=175, Resulting Numbers: [175]
175,64 unequal: No Solution
Exploring Operation: 25-7=18, Resulting Numbers: [18]
18,64 unequal: No Solution
Exploring Operation: 25+7=32, Resulting Numbers: [32]
32,64 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 #0,2,1
Current State: 64:[25, 39], Operations: ['50-34=16', '23+16=39']
Exploring Operation: 25+39=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Moving to Node #0
Current State: 64:[23, 50, 25, 34], Operations: []
Exploring Operation: 50-34=16, Resulting Numbers: [23, 25, 16]
Generated Node #0,2: 64:[23, 25, 16] Operation: 50-34=16
Moving to Node #0,2
Current State: 64:[23, 25, 16], Operations: ['50-34=16']
Exploring Operation: 23+16=39, Resulting Numbers: [25, 39]
Generated Node #0,2,1: 64:[25, 39] Operation: 23+16=39
Moving to Node #0,2,1
Current State: 64:[25, 39], Operations: ['50-34=16', '23+16=39']
Exploring Operation: 25+39=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.960938 | hs_5 | sum_heuristic |
[
87,
89,
94,
38
] | 66 | [
"89-87=2",
"94+38=132",
"132/2=66"
] | Current State: 66:[87, 89, 94, 38], Operations: []
Exploring Operation: 89-87=2, Resulting Numbers: [94, 38, 2]
Generated Node #2: [94, 38, 2] from Operation: 89-87=2
Current State: 66:[94, 38, 2], Operations: ['89-87=2']
Exploring Operation: 94+38=132, Resulting Numbers: [2, 132]
Generated Node #3: [2, 132] from Operation: 94+38=132
Current State: 66:[2, 132], Operations: ['89-87=2', '94+38=132']
Exploring Operation: 132/2=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[87, 89, 94, 38], Operations: []
Exploring Operation: 94-89=5, Resulting Numbers: [87, 38, 5]
Generated Node #0,0: 66:[87, 38, 5] Operation: 94-89=5
Moving to Node #0,0
Current State: 66:[87, 38, 5], Operations: ['94-89=5']
Exploring Operation: 87-38=49, Resulting Numbers: [5, 49]
Generated Node #0,0,0: 66:[5, 49] Operation: 87-38=49
Moving to Node #0,0,0
Current State: 66:[5, 49], Operations: ['94-89=5', '87-38=49']
Exploring Operation: 49-5=44, Resulting Numbers: [44]
44,66 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
52,
58,
60,
65
] | 56 | [
"60-52=8",
"65-58=7",
"8*7=56"
] | Current State: 56:[52, 58, 60, 65], Operations: []
Exploring Operation: 60-52=8, Resulting Numbers: [58, 65, 8]
Generated Node #2: [58, 65, 8] from Operation: 60-52=8
Current State: 56:[58, 65, 8], Operations: ['60-52=8']
Exploring Operation: 65-58=7, Resulting Numbers: [8, 7]
Generated Node #3: [8, 7] from Operation: 65-58=7
Current State: 56:[8, 7], Operations: ['60-52=8', '65-58=7']
Exploring Operation: 8*7=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[52, 58, 60, 65], Operations: []
Exploring Operation: 65-60=5, Resulting Numbers: [52, 58, 5]
Generated Node #0,0: 56:[52, 58, 5] Operation: 65-60=5
Exploring Operation: 60-58=2, Resulting Numbers: [52, 65, 2]
Generated Node #0,1: 56:[52, 65, 2] Operation: 60-58=2
Exploring Operation: 60-52=8, Resulting Numbers: [58, 65, 8]
Generated Node #0,2: 56:[58, 65, 8] Operation: 60-52=8
Exploring Operation: 65-58=7, Resulting Numbers: [52, 60, 7]
Generated Node #0,3: 56:[52, 60, 7] Operation: 65-58=7
Exploring Operation: 65-52=13, Resulting Numbers: [58, 60, 13]
Generated Node #0,4: 56:[58, 60, 13] Operation: 65-52=13
Start Sub Search at level 1: Moving to Node #0,0
Current State: 56:[52, 58, 5], Operations: ['65-60=5']
Exploring Operation: 58+5=63, Resulting Numbers: [52, 63]
Generated Node #0,0,0: 56:[52, 63] Operation: 58+5=63
Exploring Operation: 52-5=47, Resulting Numbers: [58, 47]
Generated Node #0,0,1: 56:[58, 47] Operation: 52-5=47
Exploring Operation: 58-5=53, Resulting Numbers: [52, 53]
Generated Node #0,0,2: 56:[52, 53] Operation: 58-5=53
Exploring Operation: 52+5=57, Resulting Numbers: [58, 57]
Generated Node #0,0,3: 56:[58, 57] Operation: 52+5=57
Exploring Operation: 58-52=6, Resulting Numbers: [5, 6]
Generated Node #0,0,4: 56:[5, 6] Operation: 58-52=6
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 56:[5, 6], Operations: ['65-60=5', '58-52=6']
Exploring Operation: 5+6=11, Resulting Numbers: [11]
11,56 unequal: No Solution
Exploring Operation: 5*6=30, Resulting Numbers: [30]
30,56 unequal: No Solution
Exploring Operation: 6-5=1, Resulting Numbers: [1]
1,56 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: 56:[58, 57], Operations: ['65-60=5', '52+5=57']
Exploring Operation: 58*57=3306, Resulting Numbers: [3306]
3306,56 unequal: No Solution
Exploring Operation: 58+57=115, Resulting Numbers: [115]
115,56 unequal: No Solution
Exploring Operation: 58-57=1, Resulting Numbers: [1]
1,56 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: 56:[52, 53], Operations: ['65-60=5', '58-5=53']
Exploring Operation: 52*53=2756, Resulting Numbers: [2756]
2756,56 unequal: No Solution
Exploring Operation: 53-52=1, Resulting Numbers: [1]
1,56 unequal: No Solution
Exploring Operation: 52+53=105, Resulting Numbers: [105]
105,56 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: 56:[52, 63], Operations: ['65-60=5', '58+5=63']
Exploring Operation: 63-52=11, Resulting Numbers: [11]
11,56 unequal: No Solution
Exploring Operation: 52*63=3276, Resulting Numbers: [3276]
3276,56 unequal: No Solution
Exploring Operation: 52+63=115, Resulting Numbers: [115]
115,56 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: 56:[58, 47], Operations: ['65-60=5', '52-5=47']
Exploring Operation: 58+47=105, Resulting Numbers: [105]
105,56 unequal: No Solution
Exploring Operation: 58*47=2726, Resulting Numbers: [2726]
2726,56 unequal: No Solution
Exploring Operation: 58-47=11, Resulting Numbers: [11]
11,56 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: 56:[58, 60, 13], Operations: ['65-52=13']
Exploring Operation: 60-13=47, Resulting Numbers: [58, 47]
Generated Node #0,4,0: 56:[58, 47] Operation: 60-13=47
Exploring Operation: 60-58=2, Resulting Numbers: [13, 2]
Generated Node #0,4,1: 56:[13, 2] Operation: 60-58=2
Exploring Operation: 60+13=73, Resulting Numbers: [58, 73]
Generated Node #0,4,2: 56:[58, 73] Operation: 60+13=73
Exploring Operation: 58-13=45, Resulting Numbers: [60, 45]
Generated Node #0,4,3: 56:[60, 45] Operation: 58-13=45
Exploring Operation: 58+13=71, Resulting Numbers: [60, 71]
Generated Node #0,4,4: 56:[60, 71] Operation: 58+13=71
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 56:[13, 2], Operations: ['65-52=13', '60-58=2']
Exploring Operation: 13-2=11, Resulting Numbers: [11]
11,56 unequal: No Solution
Exploring Operation: 13*2=26, Resulting Numbers: [26]
26,56 unequal: No Solution
Exploring Operation: 13+2=15, Resulting Numbers: [15]
15,56 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: 56:[58, 47], Operations: ['65-52=13', '60-13=47']
Exploring Operation: 58-47=11, Resulting Numbers: [11]
11,56 unequal: No Solution
Exploring Operation: 58*47=2726, Resulting Numbers: [2726]
2726,56 unequal: No Solution
Exploring Operation: 58+47=105, Resulting Numbers: [105]
105,56 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: 56:[60, 45], Operations: ['65-52=13', '58-13=45']
Exploring Operation: 60+45=105, Resulting Numbers: [105]
105,56 unequal: No Solution
Exploring Operation: 60-45=15, Resulting Numbers: [15]
15,56 unequal: No Solution
Exploring Operation: 60*45=2700, Resulting Numbers: [2700]
2700,56 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: 56:[58, 73], Operations: ['65-52=13', '60+13=73']
Exploring Operation: 58*73=4234, Resulting Numbers: [4234]
4234,56 unequal: No Solution
Exploring Operation: 73-58=15, Resulting Numbers: [15]
15,56 unequal: No Solution
Exploring Operation: 58+73=131, Resulting Numbers: [131]
131,56 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: 56:[60, 71], Operations: ['65-52=13', '58+13=71']
Exploring Operation: 60+71=131, Resulting Numbers: [131]
131,56 unequal: No Solution
Exploring Operation: 60*71=4260, Resulting Numbers: [4260]
4260,56 unequal: No Solution
Exploring Operation: 71-60=11, Resulting Numbers: [11]
11,56 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: 56:[52, 60, 7], Operations: ['65-58=7']
Exploring Operation: 52+7=59, Resulting Numbers: [60, 59]
Generated Node #0,3,0: 56:[60, 59] Operation: 52+7=59
Exploring Operation: 52-7=45, Resulting Numbers: [60, 45]
Generated Node #0,3,1: 56:[60, 45] Operation: 52-7=45
Exploring Operation: 60-52=8, Resulting Numbers: [7, 8]
Generated Node #0,3,2: 56:[7, 8] Operation: 60-52=8
Exploring Operation: 60-7=53, Resulting Numbers: [52, 53]
Generated Node #0,3,3: 56:[52, 53] Operation: 60-7=53
Exploring Operation: 60+7=67, Resulting Numbers: [52, 67]
Generated Node #0,3,4: 56:[52, 67] Operation: 60+7=67
Moving to Node #0,3,2
Current State: 56:[7, 8], Operations: ['65-58=7', '60-52=8']
Exploring Operation: 8-7=1, Resulting Numbers: [1]
1,56 unequal: No Solution
Exploring Operation: 7*8=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Moving to Node #0
Current State: 56:[52, 58, 60, 65], Operations: []
Exploring Operation: 65-58=7, Resulting Numbers: [52, 60, 7]
Generated Node #0,3: 56:[52, 60, 7] Operation: 65-58=7
Moving to Node #0,3
Current State: 56:[52, 60, 7], Operations: ['65-58=7']
Exploring Operation: 60-52=8, Resulting Numbers: [7, 8]
Generated Node #0,3,2: 56:[7, 8] Operation: 60-52=8
Moving to Node #0,3,2
Current State: 56:[7, 8], Operations: ['65-58=7', '60-52=8']
Exploring Operation: 7*8=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Exit Sub Search at level 1
| 0.951389 | hs_5 | mult_heuristic |
[
74,
70,
53,
4
] | 89 | [
"74+70=144",
"144/4=36",
"53+36=89"
] | Current State: 89:[74, 70, 53, 4], Operations: []
Exploring Operation: 74+70=144, Resulting Numbers: [53, 4, 144]
Generated Node #2: [53, 4, 144] from Operation: 74+70=144
Current State: 89:[53, 4, 144], Operations: ['74+70=144']
Exploring Operation: 144/4=36, Resulting Numbers: [53, 36]
Generated Node #3: [53, 36] from Operation: 144/4=36
Current State: 89:[53, 36], Operations: ['74+70=144', '144/4=36']
Exploring Operation: 53+36=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[74, 70, 53, 4], Operations: []
Exploring Operation: 74+4=78, Resulting Numbers: [70, 53, 78]
Generated Node #0,0: 89:[70, 53, 78] Operation: 74+4=78
Exploring Operation: 70+4=74, Resulting Numbers: [74, 53, 74]
Generated Node #0,1: 89:[74, 53, 74] Operation: 70+4=74
Exploring Operation: 74-4=70, Resulting Numbers: [70, 53, 70]
Generated Node #0,2: 89:[70, 53, 70] Operation: 74-4=70
Exploring Operation: 53+4=57, Resulting Numbers: [74, 70, 57]
Generated Node #0,3: 89:[74, 70, 57] Operation: 53+4=57
Moving to Node #0,0
Current State: 89:[70, 53, 78], Operations: ['74+4=78']
Exploring Operation: 53+78=131, Resulting Numbers: [70, 131]
Generated Node #0,0,0: 89:[70, 131] Operation: 53+78=131
Exploring Operation: 78-53=25, Resulting Numbers: [70, 25]
Generated Node #0,0,1: 89:[70, 25] Operation: 78-53=25
Exploring Operation: 70+53=123, Resulting Numbers: [78, 123]
Generated Node #0,0,2: 89:[78, 123] Operation: 70+53=123
Exploring Operation: 70-53=17, Resulting Numbers: [78, 17]
Generated Node #0,0,3: 89:[78, 17] Operation: 70-53=17
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 89:[78, 123], Operations: ['74+4=78', '70+53=123']
Exploring Operation: 123-78=45, Resulting Numbers: [45]
45,89 unequal: No Solution
Exploring Operation: 78+123=201, Resulting Numbers: [201]
201,89 unequal: No Solution
Exploring Operation: 78*123=9594, Resulting Numbers: [9594]
9594,89 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: 89:[70, 131], Operations: ['74+4=78', '53+78=131']
Exploring Operation: 70+131=201, Resulting Numbers: [201]
201,89 unequal: No Solution
Exploring Operation: 131-70=61, Resulting Numbers: [61]
61,89 unequal: No Solution
Exploring Operation: 70*131=9170, Resulting Numbers: [9170]
9170,89 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: 89:[70, 25], Operations: ['74+4=78', '78-53=25']
Exploring Operation: 70*25=1750, Resulting Numbers: [1750]
1750,89 unequal: No Solution
Exploring Operation: 70-25=45, Resulting Numbers: [45]
45,89 unequal: No Solution
Exploring Operation: 70+25=95, Resulting Numbers: [95]
95,89 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: 89:[78, 17], Operations: ['74+4=78', '70-53=17']
Exploring Operation: 78*17=1326, Resulting Numbers: [1326]
1326,89 unequal: No Solution
Exploring Operation: 78+17=95, Resulting Numbers: [95]
95,89 unequal: No Solution
Exploring Operation: 78-17=61, Resulting Numbers: [61]
61,89 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: 89:[74, 70, 57], Operations: ['53+4=57']
Exploring Operation: 74-57=17, Resulting Numbers: [70, 17]
Generated Node #0,3,0: 89:[70, 17] Operation: 74-57=17
Exploring Operation: 70+57=127, Resulting Numbers: [74, 127]
Generated Node #0,3,1: 89:[74, 127] Operation: 70+57=127
Exploring Operation: 74+57=131, Resulting Numbers: [70, 131]
Generated Node #0,3,2: 89:[70, 131] Operation: 74+57=131
Exploring Operation: 74+70=144, Resulting Numbers: [57, 144]
Generated Node #0,3,3: 89:[57, 144] Operation: 74+70=144
Moving to Node #0,1
Current State: 89:[74, 53, 74], Operations: ['70+4=74']
Exploring Operation: 74+53=127, Resulting Numbers: [74, 127]
Generated Node #0,1,0: 89:[74, 127] Operation: 74+53=127
Exploring Operation: 53+74=127, Resulting Numbers: [74, 127]
Generated Node #0,1,1: 89:[74, 127] Operation: 53+74=127
Exploring Operation: 74-53=21, Resulting Numbers: [74, 21]
Generated Node #0,1,2: 89:[74, 21] Operation: 74-53=21
Exploring Operation: 74-53=21, Resulting Numbers: [74, 21]
Generated Node #0,1,3: 89:[74, 21] Operation: 74-53=21
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 89:[74, 127], Operations: ['70+4=74', '74+53=127']
Exploring Operation: 74+127=201, Resulting Numbers: [201]
201,89 unequal: No Solution
Exploring Operation: 127-74=53, Resulting Numbers: [53]
53,89 unequal: No Solution
Exploring Operation: 74*127=9398, Resulting Numbers: [9398]
9398,89 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: 89:[74, 127], Operations: ['70+4=74', '53+74=127']
Exploring Operation: 74*127=9398, Resulting Numbers: [9398]
9398,89 unequal: No Solution
Exploring Operation: 74+127=201, Resulting Numbers: [201]
201,89 unequal: No Solution
Exploring Operation: 127-74=53, Resulting Numbers: [53]
53,89 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: 89:[74, 21], Operations: ['70+4=74', '74-53=21']
Exploring Operation: 74+21=95, Resulting Numbers: [95]
95,89 unequal: No Solution
Exploring Operation: 74-21=53, Resulting Numbers: [53]
53,89 unequal: No Solution
Exploring Operation: 74*21=1554, Resulting Numbers: [1554]
1554,89 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: 89:[74, 21], Operations: ['70+4=74', '74-53=21']
Exploring Operation: 74-21=53, Resulting Numbers: [53]
53,89 unequal: No Solution
Exploring Operation: 74+21=95, Resulting Numbers: [95]
95,89 unequal: No Solution
Exploring Operation: 74*21=1554, Resulting Numbers: [1554]
1554,89 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: 89:[70, 53, 70], Operations: ['74-4=70']
Exploring Operation: 70-53=17, Resulting Numbers: [70, 17]
Generated Node #0,2,0: 89:[70, 17] Operation: 70-53=17
Exploring Operation: 70+53=123, Resulting Numbers: [70, 123]
Generated Node #0,2,1: 89:[70, 123] Operation: 70+53=123
Exploring Operation: 53+70=123, Resulting Numbers: [70, 123]
Generated Node #0,2,2: 89:[70, 123] Operation: 53+70=123
Exploring Operation: 70+70=140, Resulting Numbers: [53, 140]
Generated Node #0,2,3: 89:[53, 140] Operation: 70+70=140
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 89:[70, 123], Operations: ['74-4=70', '70+53=123']
Exploring Operation: 70*123=8610, Resulting Numbers: [8610]
8610,89 unequal: No Solution
Exploring Operation: 70+123=193, Resulting Numbers: [193]
193,89 unequal: No Solution
Exploring Operation: 123-70=53, Resulting Numbers: [53]
53,89 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: 89:[70, 123], Operations: ['74-4=70', '53+70=123']
Exploring Operation: 70+123=193, Resulting Numbers: [193]
193,89 unequal: No Solution
Exploring Operation: 123-70=53, Resulting Numbers: [53]
53,89 unequal: No Solution
Exploring Operation: 70*123=8610, Resulting Numbers: [8610]
8610,89 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: 89:[53, 140], Operations: ['74-4=70', '70+70=140']
Exploring Operation: 53*140=7420, Resulting Numbers: [7420]
7420,89 unequal: No Solution
Exploring Operation: 53+140=193, Resulting Numbers: [193]
193,89 unequal: No Solution
Exploring Operation: 140-53=87, Resulting Numbers: [87]
87,89 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: 89:[70, 17], Operations: ['74-4=70', '70-53=17']
Exploring Operation: 70+17=87, Resulting Numbers: [87]
87,89 unequal: No Solution
Exploring Operation: 70-17=53, Resulting Numbers: [53]
53,89 unequal: No Solution
Exploring Operation: 70*17=1190, Resulting Numbers: [1190]
1190,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,1
Current State: 89:[74, 127], Operations: ['53+4=57', '70+57=127']
Exploring Operation: 74*127=9398, Resulting Numbers: [9398]
9398,89 unequal: No Solution
Exploring Operation: 74+127=201, Resulting Numbers: [201]
201,89 unequal: No Solution
Exploring Operation: 127-74=53, Resulting Numbers: [53]
53,89 unequal: No Solution
Moving to Node #0,3,2
Current State: 89:[70, 131], Operations: ['53+4=57', '74+57=131']
Exploring Operation: 70*131=9170, Resulting Numbers: [9170]
9170,89 unequal: No Solution
Exploring Operation: 131-70=61, Resulting Numbers: [61]
61,89 unequal: No Solution
Exploring Operation: 70+131=201, Resulting Numbers: [201]
201,89 unequal: No Solution
Moving to Node #0,3,3
Current State: 89:[57, 144], Operations: ['53+4=57', '74+70=144']
Exploring Operation: 144-57=87, Resulting Numbers: [87]
87,89 unequal: No Solution
Exploring Operation: 57*144=8208, Resulting Numbers: [8208]
8208,89 unequal: No Solution
Exploring Operation: 57+144=201, Resulting Numbers: [201]
201,89 unequal: No Solution
Moving to Node #0,3,0
Current State: 89:[70, 17], Operations: ['53+4=57', '74-57=17']
Exploring Operation: 70-17=53, Resulting Numbers: [53]
53,89 unequal: No Solution
Exploring Operation: 70*17=1190, Resulting Numbers: [1190]
1190,89 unequal: No Solution
Exploring Operation: 70+17=87, Resulting Numbers: [87]
87,89 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
68,
54,
61,
23
] | 63 | [
"54+61=115",
"115/23=5",
"68-5=63"
] | Current State: 63:[68, 54, 61, 23], Operations: []
Exploring Operation: 54+61=115, Resulting Numbers: [68, 23, 115]
Generated Node #2: [68, 23, 115] from Operation: 54+61=115
Current State: 63:[68, 23, 115], Operations: ['54+61=115']
Exploring Operation: 115/23=5, Resulting Numbers: [68, 5]
Generated Node #3: [68, 5] from Operation: 115/23=5
Current State: 63:[68, 5], Operations: ['54+61=115', '115/23=5']
Exploring Operation: 68-5=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[68, 54, 61, 23], Operations: []
Exploring Operation: 61-54=7, Resulting Numbers: [68, 23, 7]
Generated Node #0,0: 63:[68, 23, 7] Operation: 61-54=7
Exploring Operation: 68-54=14, Resulting Numbers: [61, 23, 14]
Generated Node #0,1: 63:[61, 23, 14] Operation: 68-54=14
Exploring Operation: 68-61=7, Resulting Numbers: [54, 23, 7]
Generated Node #0,2: 63:[54, 23, 7] Operation: 68-61=7
Start Sub Search at level 1: Moving to Node #0,0
Current State: 63:[68, 23, 7], Operations: ['61-54=7']
Exploring Operation: 68-7=61, Resulting Numbers: [23, 61]
Generated Node #0,0,0: 63:[23, 61] Operation: 68-7=61
Exploring Operation: 68+7=75, Resulting Numbers: [23, 75]
Generated Node #0,0,1: 63:[23, 75] Operation: 68+7=75
Exploring Operation: 23-7=16, Resulting Numbers: [68, 16]
Generated Node #0,0,2: 63:[68, 16] Operation: 23-7=16
Moving to Node #0,0,0
Current State: 63:[23, 61], Operations: ['61-54=7', '68-7=61']
Exploring Operation: 61-23=38, Resulting Numbers: [38]
38,63 unequal: No Solution
Exploring Operation: 23*61=1403, Resulting Numbers: [1403]
1403,63 unequal: No Solution
Exploring Operation: 23+61=84, Resulting Numbers: [84]
84,63 unequal: No Solution
Moving to Node #0,0,2
Current State: 63:[68, 16], Operations: ['61-54=7', '23-7=16']
Exploring Operation: 68*16=1088, Resulting Numbers: [1088]
1088,63 unequal: No Solution
Exploring Operation: 68+16=84, Resulting Numbers: [84]
84,63 unequal: No Solution
Exploring Operation: 68-16=52, Resulting Numbers: [52]
52,63 unequal: No Solution
Moving to Node #0,0,1
Current State: 63:[23, 75], Operations: ['61-54=7', '68+7=75']
Exploring Operation: 23+75=98, Resulting Numbers: [98]
98,63 unequal: No Solution
Exploring Operation: 75-23=52, Resulting Numbers: [52]
52,63 unequal: No Solution
Exploring Operation: 23*75=1725, Resulting Numbers: [1725]
1725,63 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: 63:[61, 23, 14], Operations: ['68-54=14']
Exploring Operation: 61-14=47, Resulting Numbers: [23, 47]
Generated Node #0,1,0: 63:[23, 47] Operation: 61-14=47
Exploring Operation: 23-14=9, Resulting Numbers: [61, 9]
Generated Node #0,1,1: 63:[61, 9] Operation: 23-14=9
Exploring Operation: 61+14=75, Resulting Numbers: [23, 75]
Generated Node #0,1,2: 63:[23, 75] Operation: 61+14=75
Moving to Node #0,1,1
Current State: 63:[61, 9], Operations: ['68-54=14', '23-14=9']
Exploring Operation: 61-9=52, Resulting Numbers: [52]
52,63 unequal: No Solution
Exploring Operation: 61+9=70, Resulting Numbers: [70]
70,63 unequal: No Solution
Exploring Operation: 61*9=549, Resulting Numbers: [549]
549,63 unequal: No Solution
Moving to Node #0,1,2
Current State: 63:[23, 75], Operations: ['68-54=14', '61+14=75']
Exploring Operation: 23+75=98, Resulting Numbers: [98]
98,63 unequal: No Solution
Exploring Operation: 75-23=52, Resulting Numbers: [52]
52,63 unequal: No Solution
Exploring Operation: 23*75=1725, Resulting Numbers: [1725]
1725,63 unequal: No Solution
Moving to Node #0,1,0
Current State: 63:[23, 47], Operations: ['68-54=14', '61-14=47']
Exploring Operation: 47-23=24, Resulting Numbers: [24]
24,63 unequal: No Solution
Exploring Operation: 23+47=70, Resulting Numbers: [70]
70,63 unequal: No Solution
Exploring Operation: 23*47=1081, Resulting Numbers: [1081]
1081,63 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: 63:[54, 23, 7], Operations: ['68-61=7']
Exploring Operation: 54-23=31, Resulting Numbers: [7, 31]
Generated Node #0,2,0: 63:[7, 31] Operation: 54-23=31
Exploring Operation: 54+7=61, Resulting Numbers: [23, 61]
Generated Node #0,2,1: 63:[23, 61] Operation: 54+7=61
Exploring Operation: 54+23=77, Resulting Numbers: [7, 77]
Generated Node #0,2,2: 63:[7, 77] Operation: 54+23=77
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 63:[23, 61], Operations: ['68-61=7', '54+7=61']
Exploring Operation: 23*61=1403, Resulting Numbers: [1403]
1403,63 unequal: No Solution
Exploring Operation: 23+61=84, Resulting Numbers: [84]
84,63 unequal: No Solution
Exploring Operation: 61-23=38, Resulting Numbers: [38]
38,63 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: 63:[7, 31], Operations: ['68-61=7', '54-23=31']
Exploring Operation: 7+31=38, Resulting Numbers: [38]
38,63 unequal: No Solution
Exploring Operation: 7*31=217, Resulting Numbers: [217]
217,63 unequal: No Solution
Exploring Operation: 31-7=24, Resulting Numbers: [24]
24,63 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: 63:[7, 77], Operations: ['68-61=7', '54+23=77']
Exploring Operation: 7+77=84, Resulting Numbers: [84]
84,63 unequal: No Solution
Exploring Operation: 77-7=70, Resulting Numbers: [70]
70,63 unequal: No Solution
Exploring Operation: 77/7=11, Resulting Numbers: [11]
11,63 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 | sum_heuristic |
[
11,
62,
87,
81
] | 45 | [
"62-11=51",
"87-81=6",
"51-6=45"
] | Current State: 45:[11, 62, 87, 81], Operations: []
Exploring Operation: 62-11=51, Resulting Numbers: [87, 81, 51]
Generated Node #2: [87, 81, 51] from Operation: 62-11=51
Current State: 45:[87, 81, 51], Operations: ['62-11=51']
Exploring Operation: 87-81=6, Resulting Numbers: [51, 6]
Generated Node #3: [51, 6] from Operation: 87-81=6
Current State: 45:[51, 6], Operations: ['62-11=51', '87-81=6']
Exploring Operation: 51-6=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[11, 62, 87, 81], Operations: []
Exploring Operation: 87-11=76, Resulting Numbers: [62, 81, 76]
Generated Node #0,0: 45:[62, 81, 76] Operation: 87-11=76
Exploring Operation: 87-81=6, Resulting Numbers: [11, 62, 6]
Generated Node #0,1: 45:[11, 62, 6] Operation: 87-81=6
Exploring Operation: 62-11=51, Resulting Numbers: [87, 81, 51]
Generated Node #0,2: 45:[87, 81, 51] Operation: 62-11=51
Exploring Operation: 87-62=25, Resulting Numbers: [11, 81, 25]
Generated Node #0,3: 45:[11, 81, 25] Operation: 87-62=25
Exploring Operation: 81-62=19, Resulting Numbers: [11, 87, 19]
Generated Node #0,4: 45:[11, 87, 19] Operation: 81-62=19
Moving to Node #0,1
Current State: 45:[11, 62, 6], Operations: ['87-81=6']
Exploring Operation: 62+6=68, Resulting Numbers: [11, 68]
Generated Node #0,1,0: 45:[11, 68] Operation: 62+6=68
Exploring Operation: 62-11=51, Resulting Numbers: [6, 51]
Generated Node #0,1,1: 45:[6, 51] Operation: 62-11=51
Exploring Operation: 62-6=56, Resulting Numbers: [11, 56]
Generated Node #0,1,2: 45:[11, 56] Operation: 62-6=56
Exploring Operation: 11-6=5, Resulting Numbers: [62, 5]
Generated Node #0,1,3: 45:[62, 5] Operation: 11-6=5
Exploring Operation: 11+6=17, Resulting Numbers: [62, 17]
Generated Node #0,1,4: 45:[62, 17] Operation: 11+6=17
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 45:[6, 51], Operations: ['87-81=6', '62-11=51']
Exploring Operation: 51-6=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Moving to Node #0
Current State: 45:[11, 62, 87, 81], Operations: []
Exploring Operation: 87-81=6, Resulting Numbers: [11, 62, 6]
Generated Node #0,1: 45:[11, 62, 6] Operation: 87-81=6
Moving to Node #0,1
Current State: 45:[11, 62, 6], Operations: ['87-81=6']
Exploring Operation: 62-11=51, Resulting Numbers: [6, 51]
Generated Node #0,1,1: 45:[6, 51] Operation: 62-11=51
Moving to Node #0,1,1
Current State: 45:[6, 51], Operations: ['87-81=6', '62-11=51']
Exploring Operation: 51-6=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_5 | sum_heuristic |
[
21,
47,
49,
41
] | 83 | [
"49-47=2",
"21*2=42",
"41+42=83"
] | Current State: 83:[21, 47, 49, 41], Operations: []
Exploring Operation: 49-47=2, Resulting Numbers: [21, 41, 2]
Generated Node #2: [21, 41, 2] from Operation: 49-47=2
Current State: 83:[21, 41, 2], Operations: ['49-47=2']
Exploring Operation: 21*2=42, Resulting Numbers: [41, 42]
Generated Node #3: [41, 42] from Operation: 21*2=42
Current State: 83:[41, 42], Operations: ['49-47=2', '21*2=42']
Exploring Operation: 41+42=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[21, 47, 49, 41], Operations: []
Exploring Operation: 21+47=68, Resulting Numbers: [49, 41, 68]
Generated Node #0,0: 83:[49, 41, 68] Operation: 21+47=68
Exploring Operation: 21+41=62, Resulting Numbers: [47, 49, 62]
Generated Node #0,1: 83:[47, 49, 62] Operation: 21+41=62
Exploring Operation: 47+41=88, Resulting Numbers: [21, 49, 88]
Generated Node #0,2: 83:[21, 49, 88] Operation: 47+41=88
Exploring Operation: 49+41=90, Resulting Numbers: [21, 47, 90]
Generated Node #0,3: 83:[21, 47, 90] Operation: 49+41=90
Exploring Operation: 21+49=70, Resulting Numbers: [47, 41, 70]
Generated Node #0,4: 83:[47, 41, 70] Operation: 21+49=70
Start Sub Search at level 1: Moving to Node #0,0
Current State: 83:[49, 41, 68], Operations: ['21+47=68']
Exploring Operation: 41+68=109, Resulting Numbers: [49, 109]
Generated Node #0,0,0: 83:[49, 109] Operation: 41+68=109
Exploring Operation: 49-41=8, Resulting Numbers: [68, 8]
Generated Node #0,0,1: 83:[68, 8] Operation: 49-41=8
Exploring Operation: 68-41=27, Resulting Numbers: [49, 27]
Generated Node #0,0,2: 83:[49, 27] Operation: 68-41=27
Exploring Operation: 49+68=117, Resulting Numbers: [41, 117]
Generated Node #0,0,3: 83:[41, 117] Operation: 49+68=117
Exploring Operation: 49+41=90, Resulting Numbers: [68, 90]
Generated Node #0,0,4: 83:[68, 90] Operation: 49+41=90
Moving to Node #0,0,4
Current State: 83:[68, 90], Operations: ['21+47=68', '49+41=90']
Exploring Operation: 68*90=6120, Resulting Numbers: [6120]
6120,83 unequal: No Solution
Exploring Operation: 90-68=22, Resulting Numbers: [22]
22,83 unequal: No Solution
Exploring Operation: 68+90=158, Resulting Numbers: [158]
158,83 unequal: No Solution
Moving to Node #0,0,0
Current State: 83:[49, 109], Operations: ['21+47=68', '41+68=109']
Exploring Operation: 49+109=158, Resulting Numbers: [158]
158,83 unequal: No Solution
Exploring Operation: 109-49=60, Resulting Numbers: [60]
60,83 unequal: No Solution
Exploring Operation: 49*109=5341, Resulting Numbers: [5341]
5341,83 unequal: No Solution
Moving to Node #0,0,3
Current State: 83:[41, 117], Operations: ['21+47=68', '49+68=117']
Exploring Operation: 117-41=76, Resulting Numbers: [76]
76,83 unequal: No Solution
Exploring Operation: 41+117=158, Resulting Numbers: [158]
158,83 unequal: No Solution
Exploring Operation: 41*117=4797, Resulting Numbers: [4797]
4797,83 unequal: No Solution
Moving to Node #0,0,1
Current State: 83:[68, 8], Operations: ['21+47=68', '49-41=8']
Exploring Operation: 68-8=60, Resulting Numbers: [60]
60,83 unequal: No Solution
Exploring Operation: 68+8=76, Resulting Numbers: [76]
76,83 unequal: No Solution
Exploring Operation: 68*8=544, Resulting Numbers: [544]
544,83 unequal: No Solution
Moving to Node #0,0,2
Current State: 83:[49, 27], Operations: ['21+47=68', '68-41=27']
Exploring Operation: 49*27=1323, Resulting Numbers: [1323]
1323,83 unequal: No Solution
Exploring Operation: 49-27=22, Resulting Numbers: [22]
22,83 unequal: No Solution
Exploring Operation: 49+27=76, Resulting Numbers: [76]
76,83 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:[47, 49, 62], Operations: ['21+41=62']
Exploring Operation: 47+62=109, Resulting Numbers: [49, 109]
Generated Node #0,1,0: 83:[49, 109] Operation: 47+62=109
Exploring Operation: 49-47=2, Resulting Numbers: [62, 2]
Generated Node #0,1,1: 83:[62, 2] Operation: 49-47=2
Exploring Operation: 62-47=15, Resulting Numbers: [49, 15]
Generated Node #0,1,2: 83:[49, 15] Operation: 62-47=15
Exploring Operation: 49+62=111, Resulting Numbers: [47, 111]
Generated Node #0,1,3: 83:[47, 111] Operation: 49+62=111
Exploring Operation: 47+49=96, Resulting Numbers: [62, 96]
Generated Node #0,1,4: 83:[62, 96] Operation: 47+49=96
Moving to Node #0,1,4
Current State: 83:[62, 96], Operations: ['21+41=62', '47+49=96']
Exploring Operation: 96-62=34, Resulting Numbers: [34]
34,83 unequal: No Solution
Exploring Operation: 62*96=5952, Resulting Numbers: [5952]
5952,83 unequal: No Solution
Exploring Operation: 62+96=158, Resulting Numbers: [158]
158,83 unequal: No Solution
Moving to Node #0,1,0
Current State: 83:[49, 109], Operations: ['21+41=62', '47+62=109']
Exploring Operation: 49+109=158, Resulting Numbers: [158]
158,83 unequal: No Solution
Exploring Operation: 49*109=5341, Resulting Numbers: [5341]
5341,83 unequal: No Solution
Exploring Operation: 109-49=60, Resulting Numbers: [60]
60,83 unequal: No Solution
Moving to Node #0,1,3
Current State: 83:[47, 111], Operations: ['21+41=62', '49+62=111']
Exploring Operation: 47+111=158, Resulting Numbers: [158]
158,83 unequal: No Solution
Exploring Operation: 111-47=64, Resulting Numbers: [64]
64,83 unequal: No Solution
Exploring Operation: 47*111=5217, Resulting Numbers: [5217]
5217,83 unequal: No Solution
Moving to Node #0,1,1
Current State: 83:[62, 2], Operations: ['21+41=62', '49-47=2']
Exploring Operation: 62/2=31, Resulting Numbers: [31]
31,83 unequal: No Solution
Exploring Operation: 62-2=60, Resulting Numbers: [60]
60,83 unequal: No Solution
Exploring Operation: 62*2=124, Resulting Numbers: [124]
124,83 unequal: No Solution
Exploring Operation: 62+2=64, Resulting Numbers: [64]
64,83 unequal: No Solution
Moving to Node #0,1,2
Current State: 83:[49, 15], Operations: ['21+41=62', '62-47=15']
Exploring Operation: 49*15=735, Resulting Numbers: [735]
735,83 unequal: No Solution
Exploring Operation: 49-15=34, Resulting Numbers: [34]
34,83 unequal: No Solution
Exploring Operation: 49+15=64, Resulting Numbers: [64]
64,83 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 #0,4
Current State: 83:[47, 41, 70], Operations: ['21+49=70']
Exploring Operation: 41+70=111, Resulting Numbers: [47, 111]
Generated Node #0,4,0: 83:[47, 111] Operation: 41+70=111
Exploring Operation: 47-41=6, Resulting Numbers: [70, 6]
Generated Node #0,4,1: 83:[70, 6] Operation: 47-41=6
Exploring Operation: 47+41=88, Resulting Numbers: [70, 88]
Generated Node #0,4,2: 83:[70, 88] Operation: 47+41=88
Exploring Operation: 47+70=117, Resulting Numbers: [41, 117]
Generated Node #0,4,3: 83:[41, 117] Operation: 47+70=117
Exploring Operation: 70-41=29, Resulting Numbers: [47, 29]
Generated Node #0,4,4: 83:[47, 29] Operation: 70-41=29
Moving to Node #0,4,2
Current State: 83:[70, 88], Operations: ['21+49=70', '47+41=88']
Exploring Operation: 70*88=6160, Resulting Numbers: [6160]
6160,83 unequal: No Solution
Exploring Operation: 70+88=158, Resulting Numbers: [158]
158,83 unequal: No Solution
Exploring Operation: 88-70=18, Resulting Numbers: [18]
18,83 unequal: No Solution
Moving to Node #0,4,0
Current State: 83:[47, 111], Operations: ['21+49=70', '41+70=111']
Exploring Operation: 111-47=64, Resulting Numbers: [64]
64,83 unequal: No Solution
Exploring Operation: 47+111=158, Resulting Numbers: [158]
158,83 unequal: No Solution
Exploring Operation: 47*111=5217, Resulting Numbers: [5217]
5217,83 unequal: No Solution
Moving to Node #0,4,3
Current State: 83:[41, 117], Operations: ['21+49=70', '47+70=117']
Exploring Operation: 41*117=4797, Resulting Numbers: [4797]
4797,83 unequal: No Solution
Exploring Operation: 41+117=158, Resulting Numbers: [158]
158,83 unequal: No Solution
Exploring Operation: 117-41=76, Resulting Numbers: [76]
76,83 unequal: No Solution
Moving to Node #0,4,1
Current State: 83:[70, 6], Operations: ['21+49=70', '47-41=6']
Exploring Operation: 70+6=76, Resulting Numbers: [76]
76,83 unequal: No Solution
Exploring Operation: 70*6=420, Resulting Numbers: [420]
420,83 unequal: No Solution
Exploring Operation: 70-6=64, Resulting Numbers: [64]
64,83 unequal: No Solution
Moving to Node #0,4,4
Current State: 83:[47, 29], Operations: ['21+49=70', '70-41=29']
Exploring Operation: 47+29=76, Resulting Numbers: [76]
76,83 unequal: No Solution
Exploring Operation: 47*29=1363, Resulting Numbers: [1363]
1363,83 unequal: No Solution
Exploring Operation: 47-29=18, Resulting Numbers: [18]
18,83 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
Current State: 83:[21, 49, 88], Operations: ['47+41=88']
Exploring Operation: 21+88=109, Resulting Numbers: [49, 109]
Generated Node #0,2,0: 83:[49, 109] Operation: 21+88=109
Exploring Operation: 21+49=70, Resulting Numbers: [88, 70]
Generated Node #0,2,1: 83:[88, 70] Operation: 21+49=70
Exploring Operation: 88-21=67, Resulting Numbers: [49, 67]
Generated Node #0,2,2: 83:[49, 67] Operation: 88-21=67
Exploring Operation: 88-49=39, Resulting Numbers: [21, 39]
Generated Node #0,2,3: 83:[21, 39] Operation: 88-49=39
Exploring Operation: 49-21=28, Resulting Numbers: [88, 28]
Generated Node #0,2,4: 83:[88, 28] Operation: 49-21=28
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 83:[88, 70], Operations: ['47+41=88', '21+49=70']
Exploring Operation: 88*70=6160, Resulting Numbers: [6160]
6160,83 unequal: No Solution
Exploring Operation: 88+70=158, Resulting Numbers: [158]
158,83 unequal: No Solution
Exploring Operation: 88-70=18, Resulting Numbers: [18]
18,83 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 #0,2,2
Current State: 83:[49, 67], Operations: ['47+41=88', '88-21=67']
Exploring Operation: 67-49=18, Resulting Numbers: [18]
18,83 unequal: No Solution
Exploring Operation: 49*67=3283, Resulting Numbers: [3283]
3283,83 unequal: No Solution
Exploring Operation: 49+67=116, Resulting Numbers: [116]
116,83 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 #0,2,0
Current State: 83:[49, 109], Operations: ['47+41=88', '21+88=109']
Exploring Operation: 49*109=5341, Resulting Numbers: [5341]
5341,83 unequal: No Solution
Exploring Operation: 109-49=60, Resulting Numbers: [60]
60,83 unequal: No Solution
Exploring Operation: 49+109=158, Resulting Numbers: [158]
158,83 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 #0,2,4
Current State: 83:[88, 28], Operations: ['47+41=88', '49-21=28']
Exploring Operation: 88+28=116, Resulting Numbers: [116]
116,83 unequal: No Solution
Exploring Operation: 88*28=2464, Resulting Numbers: [2464]
2464,83 unequal: No Solution
Exploring Operation: 88-28=60, Resulting Numbers: [60]
60,83 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 #0,2,3
Current State: 83:[21, 39], Operations: ['47+41=88', '88-49=39']
Exploring Operation: 39-21=18, Resulting Numbers: [18]
18,83 unequal: No Solution
Exploring Operation: 21*39=819, Resulting Numbers: [819]
819,83 unequal: No Solution
Exploring Operation: 21+39=60, Resulting Numbers: [60]
60,83 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 #0,3
Current State: 83:[21, 47, 90], Operations: ['49+41=90']
Exploring Operation: 90-47=43, Resulting Numbers: [21, 43]
Generated Node #0,3,0: 83:[21, 43] Operation: 90-47=43
Exploring Operation: 90-21=69, Resulting Numbers: [47, 69]
Generated Node #0,3,1: 83:[47, 69] Operation: 90-21=69
Exploring Operation: 47-21=26, Resulting Numbers: [90, 26]
Generated Node #0,3,2: 83:[90, 26] Operation: 47-21=26
Exploring Operation: 21+90=111, Resulting Numbers: [47, 111]
Generated Node #0,3,3: 83:[47, 111] Operation: 21+90=111
Exploring Operation: 21+47=68, Resulting Numbers: [90, 68]
Generated Node #0,3,4: 83:[90, 68] Operation: 21+47=68
Moving to Node #0,3,4
Current State: 83:[90, 68], Operations: ['49+41=90', '21+47=68']
Exploring Operation: 90-68=22, Resulting Numbers: [22]
22,83 unequal: No Solution
Exploring Operation: 90+68=158, Resulting Numbers: [158]
158,83 unequal: No Solution
Exploring Operation: 90*68=6120, Resulting Numbers: [6120]
6120,83 unequal: No Solution
Moving to Node #0,3,1
Current State: 83:[47, 69], Operations: ['49+41=90', '90-21=69']
Exploring Operation: 47+69=116, Resulting Numbers: [116]
116,83 unequal: No Solution
Exploring Operation: 69-47=22, Resulting Numbers: [22]
22,83 unequal: No Solution
Exploring Operation: 47*69=3243, Resulting Numbers: [3243]
3243,83 unequal: No Solution
Moving to Node #0,3,2
Current State: 83:[90, 26], Operations: ['49+41=90', '47-21=26']
Exploring Operation: 90-26=64, Resulting Numbers: [64]
64,83 unequal: No Solution
Exploring Operation: 90*26=2340, Resulting Numbers: [2340]
2340,83 unequal: No Solution
Exploring Operation: 90+26=116, Resulting Numbers: [116]
116,83 unequal: No Solution
Moving to Node #0,3,3
Current State: 83:[47, 111], Operations: ['49+41=90', '21+90=111']
Exploring Operation: 47*111=5217, Resulting Numbers: [5217]
5217,83 unequal: No Solution
Exploring Operation: 47+111=158, Resulting Numbers: [158]
158,83 unequal: No Solution
Exploring Operation: 111-47=64, Resulting Numbers: [64]
64,83 unequal: No Solution
Moving to Node #0,3,0
Current State: 83:[21, 43], Operations: ['49+41=90', '90-47=43']
Exploring Operation: 21*43=903, Resulting Numbers: [903]
903,83 unequal: No Solution
Exploring Operation: 21+43=64, Resulting Numbers: [64]
64,83 unequal: No Solution
Exploring Operation: 43-21=22, Resulting Numbers: [22]
22,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
39,
12,
12,
43
] | 39 | [
"12-12=0",
"43*0=0",
"39+0=39"
] | Current State: 39:[39, 12, 12, 43], Operations: []
Exploring Operation: 12-12=0, Resulting Numbers: [39, 43, 0]
Generated Node #2: [39, 43, 0] from Operation: 12-12=0
Current State: 39:[39, 43, 0], Operations: ['12-12=0']
Exploring Operation: 43*0=0, Resulting Numbers: [39, 0]
Generated Node #3: [39, 0] from Operation: 43*0=0
Current State: 39:[39, 0], Operations: ['12-12=0', '43*0=0']
Exploring Operation: 39+0=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[39, 12, 12, 43], Operations: []
Exploring Operation: 12/12=1, Resulting Numbers: [39, 43, 1]
Generated Node #0,0: 39:[39, 43, 1] Operation: 12/12=1
Exploring Operation: 43-39=4, Resulting Numbers: [12, 12, 4]
Generated Node #0,1: 39:[12, 12, 4] Operation: 43-39=4
Exploring Operation: 12-12=0, Resulting Numbers: [39, 43, 0]
Generated Node #0,2: 39:[39, 43, 0] Operation: 12-12=0
Moving to Node #0,1
Current State: 39:[12, 12, 4], Operations: ['43-39=4']
Exploring Operation: 12/4=3, Resulting Numbers: [12, 3]
Generated Node #0,1,0: 39:[12, 3] Operation: 12/4=3
Exploring Operation: 12/4=3, Resulting Numbers: [12, 3]
Generated Node #0,1,1: 39:[12, 3] Operation: 12/4=3
Exploring Operation: 12/12=1, Resulting Numbers: [4, 1]
Generated Node #0,1,2: 39:[4, 1] Operation: 12/12=1
Moving to Node #0,0
Current State: 39:[39, 43, 1], Operations: ['12/12=1']
Exploring Operation: 43-39=4, Resulting Numbers: [1, 4]
Generated Node #0,0,0: 39:[1, 4] Operation: 43-39=4
Exploring Operation: 39*1=39, Resulting Numbers: [43, 39]
Generated Node #0,0,1: 39:[43, 39] Operation: 39*1=39
Exploring Operation: 43-1=42, Resulting Numbers: [39, 42]
Generated Node #0,0,2: 39:[39, 42] Operation: 43-1=42
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 39:[1, 4], Operations: ['12/12=1', '43-39=4']
Exploring Operation: 4/1=4, Resulting Numbers: [4]
4,39 unequal: No Solution
Exploring Operation: 4-1=3, Resulting Numbers: [3]
3,39 unequal: No Solution
Exploring Operation: 1*4=4, Resulting Numbers: [4]
4,39 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: 39:[39, 42], Operations: ['12/12=1', '43-1=42']
Exploring Operation: 39+42=81, Resulting Numbers: [81]
81,39 unequal: No Solution
Exploring Operation: 39*42=1638, Resulting Numbers: [1638]
1638,39 unequal: No Solution
Exploring Operation: 42-39=3, Resulting Numbers: [3]
3,39 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: 39:[43, 39], Operations: ['12/12=1', '39*1=39']
Exploring Operation: 43-39=4, Resulting Numbers: [4]
4,39 unequal: No Solution
Exploring Operation: 43*39=1677, Resulting Numbers: [1677]
1677,39 unequal: No Solution
Exploring Operation: 43+39=82, Resulting Numbers: [82]
82,39 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: 39:[39, 43, 0], Operations: ['12-12=0']
Exploring Operation: 39+0=39, Resulting Numbers: [43, 39]
Generated Node #0,2,0: 39:[43, 39] Operation: 39+0=39
Exploring Operation: 43*0=0, Resulting Numbers: [39, 0]
Generated Node #0,2,1: 39:[39, 0] Operation: 43*0=0
Exploring Operation: 43-39=4, Resulting Numbers: [0, 4]
Generated Node #0,2,2: 39:[0, 4] Operation: 43-39=4
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 39:[39, 0], Operations: ['12-12=0', '43*0=0']
Exploring Operation: 39-0=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Moving to Node #0
Current State: 39:[39, 12, 12, 43], Operations: []
Exploring Operation: 12-12=0, Resulting Numbers: [39, 43, 0]
Generated Node #0,2: 39:[39, 43, 0] Operation: 12-12=0
Moving to Node #0,2
Current State: 39:[39, 43, 0], Operations: ['12-12=0']
Exploring Operation: 43*0=0, Resulting Numbers: [39, 0]
Generated Node #0,2,1: 39:[39, 0] Operation: 43*0=0
Moving to Node #0,2,1
Current State: 39:[39, 0], Operations: ['12-12=0', '43*0=0']
Exploring Operation: 39-0=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Exit Sub Search at level 1
| 0.977431 | hs_3 | mult_heuristic |
[
81,
53,
77,
79
] | 55 | [
"81+77=158",
"158/79=2",
"53+2=55"
] | Current State: 55:[81, 53, 77, 79], Operations: []
Exploring Operation: 81+77=158, Resulting Numbers: [53, 79, 158]
Generated Node #2: [53, 79, 158] from Operation: 81+77=158
Current State: 55:[53, 79, 158], Operations: ['81+77=158']
Exploring Operation: 158/79=2, Resulting Numbers: [53, 2]
Generated Node #3: [53, 2] from Operation: 158/79=2
Current State: 55:[53, 2], Operations: ['81+77=158', '158/79=2']
Exploring Operation: 53+2=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[81, 53, 77, 79], Operations: []
Exploring Operation: 81-53=28, Resulting Numbers: [77, 79, 28]
Generated Node #0,0: 55:[77, 79, 28] Operation: 81-53=28
Exploring Operation: 81-77=4, Resulting Numbers: [53, 79, 4]
Generated Node #0,1: 55:[53, 79, 4] Operation: 81-77=4
Exploring Operation: 79-77=2, Resulting Numbers: [81, 53, 2]
Generated Node #0,2: 55:[81, 53, 2] Operation: 79-77=2
Exploring Operation: 81-79=2, Resulting Numbers: [53, 77, 2]
Generated Node #0,3: 55:[53, 77, 2] Operation: 81-79=2
Start Sub Search at level 1: Moving to Node #0,1
Current State: 55:[53, 79, 4], Operations: ['81-77=4']
Exploring Operation: 79-4=75, Resulting Numbers: [53, 75]
Generated Node #0,1,0: 55:[53, 75] Operation: 79-4=75
Exploring Operation: 53-4=49, Resulting Numbers: [79, 49]
Generated Node #0,1,1: 55:[79, 49] Operation: 53-4=49
Exploring Operation: 79-53=26, Resulting Numbers: [4, 26]
Generated Node #0,1,2: 55:[4, 26] Operation: 79-53=26
Exploring Operation: 53+4=57, Resulting Numbers: [79, 57]
Generated Node #0,1,3: 55:[79, 57] Operation: 53+4=57
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 55:[4, 26], Operations: ['81-77=4', '79-53=26']
Exploring Operation: 4+26=30, Resulting Numbers: [30]
30,55 unequal: No Solution
Exploring Operation: 4*26=104, Resulting Numbers: [104]
104,55 unequal: No Solution
Exploring Operation: 26-4=22, Resulting Numbers: [22]
22,55 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: 55:[53, 75], Operations: ['81-77=4', '79-4=75']
Exploring Operation: 53+75=128, Resulting Numbers: [128]
128,55 unequal: No Solution
Exploring Operation: 53*75=3975, Resulting Numbers: [3975]
3975,55 unequal: No Solution
Exploring Operation: 75-53=22, Resulting Numbers: [22]
22,55 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: 55:[79, 57], Operations: ['81-77=4', '53+4=57']
Exploring Operation: 79-57=22, Resulting Numbers: [22]
22,55 unequal: No Solution
Exploring Operation: 79+57=136, Resulting Numbers: [136]
136,55 unequal: No Solution
Exploring Operation: 79*57=4503, Resulting Numbers: [4503]
4503,55 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: 55:[79, 49], Operations: ['81-77=4', '53-4=49']
Exploring Operation: 79+49=128, Resulting Numbers: [128]
128,55 unequal: No Solution
Exploring Operation: 79-49=30, Resulting Numbers: [30]
30,55 unequal: No Solution
Exploring Operation: 79*49=3871, Resulting Numbers: [3871]
3871,55 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: 55:[53, 77, 2], Operations: ['81-79=2']
Exploring Operation: 53-2=51, Resulting Numbers: [77, 51]
Generated Node #0,3,0: 55:[77, 51] Operation: 53-2=51
Exploring Operation: 77-53=24, Resulting Numbers: [2, 24]
Generated Node #0,3,1: 55:[2, 24] Operation: 77-53=24
Exploring Operation: 53+2=55, Resulting Numbers: [77, 55]
Generated Node #0,3,2: 55:[77, 55] Operation: 53+2=55
Exploring Operation: 77-2=75, Resulting Numbers: [53, 75]
Generated Node #0,3,3: 55:[53, 75] Operation: 77-2=75
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 55:[2, 24], Operations: ['81-79=2', '77-53=24']
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,55 unequal: No Solution
Exploring Operation: 2+24=26, Resulting Numbers: [26]
26,55 unequal: No Solution
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,55 unequal: No Solution
Exploring Operation: 2*24=48, Resulting Numbers: [48]
48,55 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: 55:[77, 55], Operations: ['81-79=2', '53+2=55']
Exploring Operation: 77*55=4235, Resulting Numbers: [4235]
4235,55 unequal: No Solution
Exploring Operation: 77+55=132, Resulting Numbers: [132]
132,55 unequal: No Solution
Exploring Operation: 77-55=22, Resulting Numbers: [22]
22,55 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: 55:[53, 75], Operations: ['81-79=2', '77-2=75']
Exploring Operation: 53*75=3975, Resulting Numbers: [3975]
3975,55 unequal: No Solution
Exploring Operation: 53+75=128, Resulting Numbers: [128]
128,55 unequal: No Solution
Exploring Operation: 75-53=22, Resulting Numbers: [22]
22,55 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: 55:[77, 51], Operations: ['81-79=2', '53-2=51']
Exploring Operation: 77+51=128, Resulting Numbers: [128]
128,55 unequal: No Solution
Exploring Operation: 77*51=3927, Resulting Numbers: [3927]
3927,55 unequal: No Solution
Exploring Operation: 77-51=26, Resulting Numbers: [26]
26,55 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: 55:[81, 53, 2], Operations: ['79-77=2']
Exploring Operation: 81-2=79, Resulting Numbers: [53, 79]
Generated Node #0,2,0: 55:[53, 79] Operation: 81-2=79
Exploring Operation: 81-53=28, Resulting Numbers: [2, 28]
Generated Node #0,2,1: 55:[2, 28] Operation: 81-53=28
Exploring Operation: 81+2=83, Resulting Numbers: [53, 83]
Generated Node #0,2,2: 55:[53, 83] Operation: 81+2=83
Exploring Operation: 53+2=55, Resulting Numbers: [81, 55]
Generated Node #0,2,3: 55:[81, 55] Operation: 53+2=55
Moving to Node #0,2,1
Current State: 55:[2, 28], Operations: ['79-77=2', '81-53=28']
Exploring Operation: 2+28=30, Resulting Numbers: [30]
30,55 unequal: No Solution
Exploring Operation: 2*28=56, Resulting Numbers: [56]
56,55 unequal: No Solution
Exploring Operation: 28-2=26, Resulting Numbers: [26]
26,55 unequal: No Solution
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,55 unequal: No Solution
Moving to Node #0,2,3
Current State: 55:[81, 55], Operations: ['79-77=2', '53+2=55']
Exploring Operation: 81-55=26, Resulting Numbers: [26]
26,55 unequal: No Solution
Exploring Operation: 81*55=4455, Resulting Numbers: [4455]
4455,55 unequal: No Solution
Exploring Operation: 81+55=136, Resulting Numbers: [136]
136,55 unequal: No Solution
Moving to Node #0,2,0
Current State: 55:[53, 79], Operations: ['79-77=2', '81-2=79']
Exploring Operation: 53*79=4187, Resulting Numbers: [4187]
4187,55 unequal: No Solution
Exploring Operation: 79-53=26, Resulting Numbers: [26]
26,55 unequal: No Solution
Exploring Operation: 53+79=132, Resulting Numbers: [132]
132,55 unequal: No Solution
Moving to Node #0,2,2
Current State: 55:[53, 83], Operations: ['79-77=2', '81+2=83']
Exploring Operation: 83-53=30, Resulting Numbers: [30]
30,55 unequal: No Solution
Exploring Operation: 53+83=136, Resulting Numbers: [136]
136,55 unequal: No Solution
Exploring Operation: 53*83=4399, Resulting Numbers: [4399]
4399,55 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
Current State: 55:[77, 79, 28], Operations: ['81-53=28']
Exploring Operation: 77+28=105, Resulting Numbers: [79, 105]
Generated Node #0,0,0: 55:[79, 105] Operation: 77+28=105
Exploring Operation: 79-77=2, Resulting Numbers: [28, 2]
Generated Node #0,0,1: 55:[28, 2] Operation: 79-77=2
Exploring Operation: 79-28=51, Resulting Numbers: [77, 51]
Generated Node #0,0,2: 55:[77, 51] Operation: 79-28=51
Exploring Operation: 77-28=49, Resulting Numbers: [79, 49]
Generated Node #0,0,3: 55:[79, 49] Operation: 77-28=49
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 55:[28, 2], Operations: ['81-53=28', '79-77=2']
Exploring Operation: 28*2=56, Resulting Numbers: [56]
56,55 unequal: No Solution
Exploring Operation: 28+2=30, Resulting Numbers: [30]
30,55 unequal: No Solution
Exploring Operation: 28-2=26, Resulting Numbers: [26]
26,55 unequal: No Solution
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,55 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: 55:[77, 51], Operations: ['81-53=28', '79-28=51']
Exploring Operation: 77*51=3927, Resulting Numbers: [3927]
3927,55 unequal: No Solution
Exploring Operation: 77+51=128, Resulting Numbers: [128]
128,55 unequal: No Solution
Exploring Operation: 77-51=26, Resulting Numbers: [26]
26,55 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: 55:[79, 49], Operations: ['81-53=28', '77-28=49']
Exploring Operation: 79*49=3871, Resulting Numbers: [3871]
3871,55 unequal: No Solution
Exploring Operation: 79+49=128, Resulting Numbers: [128]
128,55 unequal: No Solution
Exploring Operation: 79-49=30, Resulting Numbers: [30]
30,55 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: 55:[79, 105], Operations: ['81-53=28', '77+28=105']
Exploring Operation: 105-79=26, Resulting Numbers: [26]
26,55 unequal: No Solution
Exploring Operation: 79+105=184, Resulting Numbers: [184]
184,55 unequal: No Solution
Exploring Operation: 79*105=8295, Resulting Numbers: [8295]
8295,55 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,
92,
19,
71
] | 98 | [
"96+92=188",
"19+71=90",
"188-90=98"
] | Current State: 98:[96, 92, 19, 71], Operations: []
Exploring Operation: 96+92=188, Resulting Numbers: [19, 71, 188]
Generated Node #2: [19, 71, 188] from Operation: 96+92=188
Current State: 98:[19, 71, 188], Operations: ['96+92=188']
Exploring Operation: 19+71=90, Resulting Numbers: [188, 90]
Generated Node #3: [188, 90] from Operation: 19+71=90
Current State: 98:[188, 90], Operations: ['96+92=188', '19+71=90']
Exploring Operation: 188-90=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[96, 92, 19, 71], Operations: []
Exploring Operation: 71-19=52, Resulting Numbers: [96, 92, 52]
Generated Node #0,0: 98:[96, 92, 52] Operation: 71-19=52
Moving to Node #0,0
Current State: 98:[96, 92, 52], Operations: ['71-19=52']
Exploring Operation: 96-92=4, Resulting Numbers: [52, 4]
Generated Node #0,0,0: 98:[52, 4] Operation: 96-92=4
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 98:[52, 4], Operations: ['71-19=52', '96-92=4']
Exploring Operation: 52-4=48, Resulting Numbers: [48]
48,98 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 |
[
37,
9,
68,
55
] | 94 | [
"55-37=18",
"9*18=162",
"162-68=94"
] | Current State: 94:[37, 9, 68, 55], Operations: []
Exploring Operation: 55-37=18, Resulting Numbers: [9, 68, 18]
Generated Node #2: [9, 68, 18] from Operation: 55-37=18
Current State: 94:[9, 68, 18], Operations: ['55-37=18']
Exploring Operation: 9*18=162, Resulting Numbers: [68, 162]
Generated Node #3: [68, 162] from Operation: 9*18=162
Current State: 94:[68, 162], Operations: ['55-37=18', '9*18=162']
Exploring Operation: 162-68=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[37, 9, 68, 55], Operations: []
Exploring Operation: 37+68=105, Resulting Numbers: [9, 55, 105]
Generated Node #0,0: 94:[9, 55, 105] Operation: 37+68=105
Exploring Operation: 68-55=13, Resulting Numbers: [37, 9, 13]
Generated Node #0,1: 94:[37, 9, 13] Operation: 68-55=13
Moving to Node #0,0
Current State: 94:[9, 55, 105], Operations: ['37+68=105']
Exploring Operation: 105-9=96, Resulting Numbers: [55, 96]
Generated Node #0,0,0: 94:[55, 96] Operation: 105-9=96
Exploring Operation: 105-55=50, Resulting Numbers: [9, 50]
Generated Node #0,0,1: 94:[9, 50] Operation: 105-55=50
Moving to Node #0,1
Current State: 94:[37, 9, 13], Operations: ['68-55=13']
Exploring Operation: 37+9=46, Resulting Numbers: [13, 46]
Generated Node #0,1,0: 94:[13, 46] Operation: 37+9=46
Exploring Operation: 37+13=50, Resulting Numbers: [9, 50]
Generated Node #0,1,1: 94:[9, 50] Operation: 37+13=50
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 94:[9, 50], Operations: ['68-55=13', '37+13=50']
Exploring Operation: 50-9=41, Resulting Numbers: [41]
41,94 unequal: No Solution
Exploring Operation: 9+50=59, Resulting Numbers: [59]
59,94 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 #0,1,0
Current State: 94:[13, 46], Operations: ['68-55=13', '37+9=46']
Exploring Operation: 46-13=33, Resulting Numbers: [33]
33,94 unequal: No Solution
Exploring Operation: 13+46=59, Resulting Numbers: [59]
59,94 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: 94:[55, 96], Operations: ['37+68=105', '105-9=96']
Exploring Operation: 96-55=41, Resulting Numbers: [41]
41,94 unequal: No Solution
Exploring Operation: 55+96=151, Resulting Numbers: [151]
151,94 unequal: No Solution
Moving to Node #0,0,1
Current State: 94:[9, 50], Operations: ['37+68=105', '105-55=50']
Exploring Operation: 50-9=41, Resulting Numbers: [41]
41,94 unequal: No Solution
Exploring Operation: 9+50=59, Resulting Numbers: [59]
59,94 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
51,
98,
12,
40
] | 19 | [
"98-51=47",
"40-12=28",
"47-28=19"
] | Current State: 19:[51, 98, 12, 40], Operations: []
Exploring Operation: 98-51=47, Resulting Numbers: [12, 40, 47]
Generated Node #2: [12, 40, 47] from Operation: 98-51=47
Current State: 19:[12, 40, 47], Operations: ['98-51=47']
Exploring Operation: 40-12=28, Resulting Numbers: [47, 28]
Generated Node #3: [47, 28] from Operation: 40-12=28
Current State: 19:[47, 28], Operations: ['98-51=47', '40-12=28']
Exploring Operation: 47-28=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[51, 98, 12, 40], Operations: []
Exploring Operation: 98-40=58, Resulting Numbers: [51, 12, 58]
Generated Node #0,0: 19:[51, 12, 58] Operation: 98-40=58
Exploring Operation: 98-51=47, Resulting Numbers: [12, 40, 47]
Generated Node #0,1: 19:[12, 40, 47] Operation: 98-51=47
Exploring Operation: 51-40=11, Resulting Numbers: [98, 12, 11]
Generated Node #0,2: 19:[98, 12, 11] Operation: 51-40=11
Moving to Node #0,1
Current State: 19:[12, 40, 47], Operations: ['98-51=47']
Exploring Operation: 47-40=7, Resulting Numbers: [12, 7]
Generated Node #0,1,0: 19:[12, 7] Operation: 47-40=7
Exploring Operation: 47-12=35, Resulting Numbers: [40, 35]
Generated Node #0,1,1: 19:[40, 35] Operation: 47-12=35
Exploring Operation: 40-12=28, Resulting Numbers: [47, 28]
Generated Node #0,1,2: 19:[47, 28] Operation: 40-12=28
Moving to Node #0,0
Current State: 19:[51, 12, 58], Operations: ['98-40=58']
Exploring Operation: 51-12=39, Resulting Numbers: [58, 39]
Generated Node #0,0,0: 19:[58, 39] Operation: 51-12=39
Exploring Operation: 58-12=46, Resulting Numbers: [51, 46]
Generated Node #0,0,1: 19:[51, 46] Operation: 58-12=46
Exploring Operation: 58-51=7, Resulting Numbers: [12, 7]
Generated Node #0,0,2: 19:[12, 7] Operation: 58-51=7
Moving to Node #0,2
Current State: 19:[98, 12, 11], Operations: ['51-40=11']
Exploring Operation: 98-11=87, Resulting Numbers: [12, 87]
Generated Node #0,2,0: 19:[12, 87] Operation: 98-11=87
Exploring Operation: 12+11=23, Resulting Numbers: [98, 23]
Generated Node #0,2,1: 19:[98, 23] Operation: 12+11=23
Exploring Operation: 98-12=86, Resulting Numbers: [11, 86]
Generated Node #0,2,2: 19:[11, 86] Operation: 98-12=86
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 19:[12, 87], Operations: ['51-40=11', '98-11=87']
Exploring Operation: 87-12=75, Resulting Numbers: [75]
75,19 unequal: No Solution
Exploring Operation: 12+87=99, Resulting Numbers: [99]
99,19 unequal: No Solution
Exploring Operation: 12*87=1044, Resulting Numbers: [1044]
1044,19 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: 19:[11, 86], Operations: ['51-40=11', '98-12=86']
Exploring Operation: 86-11=75, Resulting Numbers: [75]
75,19 unequal: No Solution
Exploring Operation: 11*86=946, Resulting Numbers: [946]
946,19 unequal: No Solution
Exploring Operation: 11+86=97, Resulting Numbers: [97]
97,19 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: 19:[98, 23], Operations: ['51-40=11', '12+11=23']
Exploring Operation: 98-23=75, Resulting Numbers: [75]
75,19 unequal: No Solution
Exploring Operation: 98*23=2254, Resulting Numbers: [2254]
2254,19 unequal: No Solution
Exploring Operation: 98+23=121, Resulting Numbers: [121]
121,19 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: 19:[12, 7], Operations: ['98-51=47', '47-40=7']
Exploring Operation: 12*7=84, Resulting Numbers: [84]
84,19 unequal: No Solution
Exploring Operation: 12-7=5, Resulting Numbers: [5]
5,19 unequal: No Solution
Exploring Operation: 12+7=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Moving to Node #0
Current State: 19:[51, 98, 12, 40], Operations: []
Exploring Operation: 98-51=47, Resulting Numbers: [12, 40, 47]
Generated Node #0,1: 19:[12, 40, 47] Operation: 98-51=47
Moving to Node #0,1
Current State: 19:[12, 40, 47], Operations: ['98-51=47']
Exploring Operation: 47-40=7, Resulting Numbers: [12, 7]
Generated Node #0,1,0: 19:[12, 7] Operation: 47-40=7
Moving to Node #0,1,0
Current State: 19:[12, 7], Operations: ['98-51=47', '47-40=7']
Exploring Operation: 12+7=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 0.975694 | hs_3 | mult_heuristic |
[
24,
72,
38,
28
] | 38 | [
"72-24=48",
"38-28=10",
"48-10=38"
] | Current State: 38:[24, 72, 38, 28], Operations: []
Exploring Operation: 72-24=48, Resulting Numbers: [38, 28, 48]
Generated Node #2: [38, 28, 48] from Operation: 72-24=48
Current State: 38:[38, 28, 48], Operations: ['72-24=48']
Exploring Operation: 38-28=10, Resulting Numbers: [48, 10]
Generated Node #3: [48, 10] from Operation: 38-28=10
Current State: 38:[48, 10], Operations: ['72-24=48', '38-28=10']
Exploring Operation: 48-10=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[24, 72, 38, 28], Operations: []
Exploring Operation: 72/24=3, Resulting Numbers: [38, 28, 3]
Generated Node #0,0: 38:[38, 28, 3] Operation: 72/24=3
Exploring Operation: 28-24=4, Resulting Numbers: [72, 38, 4]
Generated Node #0,1: 38:[72, 38, 4] Operation: 28-24=4
Exploring Operation: 72-24=48, Resulting Numbers: [38, 28, 48]
Generated Node #0,2: 38:[38, 28, 48] Operation: 72-24=48
Exploring Operation: 72-28=44, Resulting Numbers: [24, 38, 44]
Generated Node #0,3: 38:[24, 38, 44] Operation: 72-28=44
Exploring Operation: 72-38=34, Resulting Numbers: [24, 28, 34]
Generated Node #0,4: 38:[24, 28, 34] Operation: 72-38=34
Start Sub Search at level 1: Moving to Node #0,0
Current State: 38:[38, 28, 3], Operations: ['72/24=3']
Exploring Operation: 38+3=41, Resulting Numbers: [28, 41]
Generated Node #0,0,0: 38:[28, 41] Operation: 38+3=41
Exploring Operation: 38-28=10, Resulting Numbers: [3, 10]
Generated Node #0,0,1: 38:[3, 10] Operation: 38-28=10
Exploring Operation: 38-3=35, Resulting Numbers: [28, 35]
Generated Node #0,0,2: 38:[28, 35] Operation: 38-3=35
Exploring Operation: 28-3=25, Resulting Numbers: [38, 25]
Generated Node #0,0,3: 38:[38, 25] Operation: 28-3=25
Exploring Operation: 28+3=31, Resulting Numbers: [38, 31]
Generated Node #0,0,4: 38:[38, 31] Operation: 28+3=31
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 38:[38, 25], Operations: ['72/24=3', '28-3=25']
Exploring Operation: 38+25=63, Resulting Numbers: [63]
63,38 unequal: No Solution
Exploring Operation: 38*25=950, Resulting Numbers: [950]
950,38 unequal: No Solution
Exploring Operation: 38-25=13, Resulting Numbers: [13]
13,38 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: 38:[38, 31], Operations: ['72/24=3', '28+3=31']
Exploring Operation: 38-31=7, Resulting Numbers: [7]
7,38 unequal: No Solution
Exploring Operation: 38+31=69, Resulting Numbers: [69]
69,38 unequal: No Solution
Exploring Operation: 38*31=1178, Resulting Numbers: [1178]
1178,38 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: 38:[3, 10], Operations: ['72/24=3', '38-28=10']
Exploring Operation: 3+10=13, Resulting Numbers: [13]
13,38 unequal: No Solution
Exploring Operation: 10-3=7, Resulting Numbers: [7]
7,38 unequal: No Solution
Exploring Operation: 3*10=30, Resulting Numbers: [30]
30,38 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: 38:[28, 41], Operations: ['72/24=3', '38+3=41']
Exploring Operation: 41-28=13, Resulting Numbers: [13]
13,38 unequal: No Solution
Exploring Operation: 28*41=1148, Resulting Numbers: [1148]
1148,38 unequal: No Solution
Exploring Operation: 28+41=69, Resulting Numbers: [69]
69,38 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: 38:[28, 35], Operations: ['72/24=3', '38-3=35']
Exploring Operation: 28*35=980, Resulting Numbers: [980]
980,38 unequal: No Solution
Exploring Operation: 28+35=63, Resulting Numbers: [63]
63,38 unequal: No Solution
Exploring Operation: 35-28=7, Resulting Numbers: [7]
7,38 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: 38:[24, 38, 44], Operations: ['72-28=44']
Exploring Operation: 44-38=6, Resulting Numbers: [24, 6]
Generated Node #0,3,0: 38:[24, 6] Operation: 44-38=6
Exploring Operation: 24+38=62, Resulting Numbers: [44, 62]
Generated Node #0,3,1: 38:[44, 62] Operation: 24+38=62
Exploring Operation: 44-24=20, Resulting Numbers: [38, 20]
Generated Node #0,3,2: 38:[38, 20] Operation: 44-24=20
Exploring Operation: 24+44=68, Resulting Numbers: [38, 68]
Generated Node #0,3,3: 38:[38, 68] Operation: 24+44=68
Exploring Operation: 38-24=14, Resulting Numbers: [44, 14]
Generated Node #0,3,4: 38:[44, 14] Operation: 38-24=14
Moving to Node #0,3,2
Current State: 38:[38, 20], Operations: ['72-28=44', '44-24=20']
Exploring Operation: 38+20=58, Resulting Numbers: [58]
58,38 unequal: No Solution
Exploring Operation: 38*20=760, Resulting Numbers: [760]
760,38 unequal: No Solution
Exploring Operation: 38-20=18, Resulting Numbers: [18]
18,38 unequal: No Solution
Moving to Node #0,3,0
Current State: 38:[24, 6], Operations: ['72-28=44', '44-38=6']
Exploring Operation: 24-6=18, Resulting Numbers: [18]
18,38 unequal: No Solution
Exploring Operation: 24/6=4, Resulting Numbers: [4]
4,38 unequal: No Solution
Exploring Operation: 24*6=144, Resulting Numbers: [144]
144,38 unequal: No Solution
Exploring Operation: 24+6=30, Resulting Numbers: [30]
30,38 unequal: No Solution
Moving to Node #0,3,4
Current State: 38:[44, 14], Operations: ['72-28=44', '38-24=14']
Exploring Operation: 44+14=58, Resulting Numbers: [58]
58,38 unequal: No Solution
Exploring Operation: 44-14=30, Resulting Numbers: [30]
30,38 unequal: No Solution
Exploring Operation: 44*14=616, Resulting Numbers: [616]
616,38 unequal: No Solution
Moving to Node #0,3,1
Current State: 38:[44, 62], Operations: ['72-28=44', '24+38=62']
Exploring Operation: 44*62=2728, Resulting Numbers: [2728]
2728,38 unequal: No Solution
Exploring Operation: 44+62=106, Resulting Numbers: [106]
106,38 unequal: No Solution
Exploring Operation: 62-44=18, Resulting Numbers: [18]
18,38 unequal: No Solution
Moving to Node #0,3,3
Current State: 38:[38, 68], Operations: ['72-28=44', '24+44=68']
Exploring Operation: 68-38=30, Resulting Numbers: [30]
30,38 unequal: No Solution
Exploring Operation: 38+68=106, Resulting Numbers: [106]
106,38 unequal: No Solution
Exploring Operation: 38*68=2584, Resulting Numbers: [2584]
2584,38 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: 38:[24, 28, 34], Operations: ['72-38=34']
Exploring Operation: 34-28=6, Resulting Numbers: [24, 6]
Generated Node #0,4,0: 38:[24, 6] Operation: 34-28=6
Exploring Operation: 28-24=4, Resulting Numbers: [34, 4]
Generated Node #0,4,1: 38:[34, 4] Operation: 28-24=4
Exploring Operation: 24+34=58, Resulting Numbers: [28, 58]
Generated Node #0,4,2: 38:[28, 58] Operation: 24+34=58
Exploring Operation: 34-24=10, Resulting Numbers: [28, 10]
Generated Node #0,4,3: 38:[28, 10] Operation: 34-24=10
Exploring Operation: 24+28=52, Resulting Numbers: [34, 52]
Generated Node #0,4,4: 38:[34, 52] Operation: 24+28=52
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 38:[34, 4], Operations: ['72-38=34', '28-24=4']
Exploring Operation: 34+4=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Moving to Node #0
Current State: 38:[24, 72, 38, 28], Operations: []
Exploring Operation: 72-38=34, Resulting Numbers: [24, 28, 34]
Generated Node #0,4: 38:[24, 28, 34] Operation: 72-38=34
Moving to Node #0,4
Current State: 38:[24, 28, 34], Operations: ['72-38=34']
Exploring Operation: 28-24=4, Resulting Numbers: [34, 4]
Generated Node #0,4,1: 38:[34, 4] Operation: 28-24=4
Moving to Node #0,4,1
Current State: 38:[34, 4], Operations: ['72-38=34', '28-24=4']
Exploring Operation: 34+4=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.951389 | hs_5 | sum_heuristic |
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