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 |
|---|---|---|---|---|---|---|---|---|
[
52,
90,
88,
93
] | 43 | [
"90-52=38",
"93-88=5",
"38+5=43"
] | Current State: 43:[52, 90, 88, 93], Operations: []
Exploring Operation: 90-52=38, Resulting Numbers: [88, 93, 38]
Generated Node #2: [88, 93, 38] from Operation: 90-52=38
Current State: 43:[88, 93, 38], Operations: ['90-52=38']
Exploring Operation: 93-88=5, Resulting Numbers: [38, 5]
Generated Node #3: [38, 5] from Operation: 93-88=5
Current State: 43:[38, 5], Operations: ['90-52=38', '93-88=5']
Exploring Operation: 38+5=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[52, 90, 88, 93], Operations: []
Exploring Operation: 93-90=3, Resulting Numbers: [52, 88, 3]
Generated Node #0,0: 43:[52, 88, 3] Operation: 93-90=3
Exploring Operation: 93-52=41, Resulting Numbers: [90, 88, 41]
Generated Node #0,1: 43:[90, 88, 41] Operation: 93-52=41
Exploring Operation: 93-88=5, Resulting Numbers: [52, 90, 5]
Generated Node #0,2: 43:[52, 90, 5] Operation: 93-88=5
Start Sub Search at level 1: Moving to Node #0,0
Current State: 43:[52, 88, 3], Operations: ['93-90=3']
Exploring Operation: 88-3=85, Resulting Numbers: [52, 85]
Generated Node #0,0,0: 43:[52, 85] Operation: 88-3=85
Exploring Operation: 88-52=36, Resulting Numbers: [3, 36]
Generated Node #0,0,1: 43:[3, 36] Operation: 88-52=36
Exploring Operation: 52-3=49, Resulting Numbers: [88, 49]
Generated Node #0,0,2: 43:[88, 49] Operation: 52-3=49
Moving to Node #0,0,1
Current State: 43:[3, 36], Operations: ['93-90=3', '88-52=36']
Exploring Operation: 36-3=33, Resulting Numbers: [33]
33,43 unequal: No Solution
Exploring Operation: 3+36=39, Resulting Numbers: [39]
39,43 unequal: No Solution
Exploring Operation: 36/3=12, Resulting Numbers: [12]
12,43 unequal: No Solution
Moving to Node #0,0,0
Current State: 43:[52, 85], Operations: ['93-90=3', '88-3=85']
Exploring Operation: 52+85=137, Resulting Numbers: [137]
137,43 unequal: No Solution
Exploring Operation: 52*85=4420, Resulting Numbers: [4420]
4420,43 unequal: No Solution
Exploring Operation: 85-52=33, Resulting Numbers: [33]
33,43 unequal: No Solution
Moving to Node #0,0,2
Current State: 43:[88, 49], Operations: ['93-90=3', '52-3=49']
Exploring Operation: 88*49=4312, Resulting Numbers: [4312]
4312,43 unequal: No Solution
Exploring Operation: 88+49=137, Resulting Numbers: [137]
137,43 unequal: No Solution
Exploring Operation: 88-49=39, Resulting Numbers: [39]
39,43 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 #0,1
Current State: 43:[90, 88, 41], Operations: ['93-52=41']
Exploring Operation: 90-88=2, Resulting Numbers: [41, 2]
Generated Node #0,1,0: 43:[41, 2] Operation: 90-88=2
Exploring Operation: 90-41=49, Resulting Numbers: [88, 49]
Generated Node #0,1,1: 43:[88, 49] Operation: 90-41=49
Exploring Operation: 88-41=47, Resulting Numbers: [90, 47]
Generated Node #0,1,2: 43:[90, 47] Operation: 88-41=47
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 43:[41, 2], Operations: ['93-52=41', '90-88=2']
Exploring Operation: 41+2=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Moving to Node #0
Current State: 43:[52, 90, 88, 93], Operations: []
Exploring Operation: 93-52=41, Resulting Numbers: [90, 88, 41]
Generated Node #0,1: 43:[90, 88, 41] Operation: 93-52=41
Moving to Node #0,1
Current State: 43:[90, 88, 41], Operations: ['93-52=41']
Exploring Operation: 90-88=2, Resulting Numbers: [41, 2]
Generated Node #0,1,0: 43:[41, 2] Operation: 90-88=2
Moving to Node #0,1,0
Current State: 43:[41, 2], Operations: ['93-52=41', '90-88=2']
Exploring Operation: 41+2=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.980035 | hs_3 | mult_heuristic |
[
26,
96,
91,
32
] | 75 | [
"32-26=6",
"96/6=16",
"91-16=75"
] | Current State: 75:[26, 96, 91, 32], Operations: []
Exploring Operation: 32-26=6, Resulting Numbers: [96, 91, 6]
Generated Node #2: [96, 91, 6] from Operation: 32-26=6
Current State: 75:[96, 91, 6], Operations: ['32-26=6']
Exploring Operation: 96/6=16, Resulting Numbers: [91, 16]
Generated Node #3: [91, 16] from Operation: 96/6=16
Current State: 75:[91, 16], Operations: ['32-26=6', '96/6=16']
Exploring Operation: 91-16=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[26, 96, 91, 32], Operations: []
Exploring Operation: 96-91=5, Resulting Numbers: [26, 32, 5]
Generated Node #0,0: 75:[26, 32, 5] Operation: 96-91=5
Moving to Node #0,0
Current State: 75:[26, 32, 5], Operations: ['96-91=5']
Exploring Operation: 32-26=6, Resulting Numbers: [5, 6]
Generated Node #0,0,0: 75:[5, 6] Operation: 32-26=6
Moving to Node #0,0,0
Current State: 75:[5, 6], Operations: ['96-91=5', '32-26=6']
Exploring Operation: 6-5=1, Resulting Numbers: [1]
1,75 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
15,
50,
59,
8
] | 48 | [
"15+50=65",
"65-59=6",
"8*6=48"
] | Current State: 48:[15, 50, 59, 8], Operations: []
Exploring Operation: 15+50=65, Resulting Numbers: [59, 8, 65]
Generated Node #2: [59, 8, 65] from Operation: 15+50=65
Current State: 48:[59, 8, 65], Operations: ['15+50=65']
Exploring Operation: 65-59=6, Resulting Numbers: [8, 6]
Generated Node #3: [8, 6] from Operation: 65-59=6
Current State: 48:[8, 6], Operations: ['15+50=65', '65-59=6']
Exploring Operation: 8*6=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[15, 50, 59, 8], Operations: []
Exploring Operation: 59-50=9, Resulting Numbers: [15, 8, 9]
Generated Node #0,0: 48:[15, 8, 9] Operation: 59-50=9
Moving to Node #0,0
Current State: 48:[15, 8, 9], Operations: ['59-50=9']
Exploring Operation: 15+9=24, Resulting Numbers: [8, 24]
Generated Node #0,0,0: 48:[8, 24] Operation: 15+9=24
Moving to Node #0,0,0
Current State: 48:[8, 24], Operations: ['59-50=9', '15+9=24']
Exploring Operation: 24-8=16, Resulting Numbers: [16]
16,48 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
78,
5,
49,
83
] | 59 | [
"78-5=73",
"49+83=132",
"132-73=59"
] | Current State: 59:[78, 5, 49, 83], Operations: []
Exploring Operation: 78-5=73, Resulting Numbers: [49, 83, 73]
Generated Node #2: [49, 83, 73] from Operation: 78-5=73
Current State: 59:[49, 83, 73], Operations: ['78-5=73']
Exploring Operation: 49+83=132, Resulting Numbers: [73, 132]
Generated Node #3: [73, 132] from Operation: 49+83=132
Current State: 59:[73, 132], Operations: ['78-5=73', '49+83=132']
Exploring Operation: 132-73=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[78, 5, 49, 83], Operations: []
Exploring Operation: 78+5=83, Resulting Numbers: [49, 83, 83]
Generated Node #0,0: 59:[49, 83, 83] Operation: 78+5=83
Exploring Operation: 49-5=44, Resulting Numbers: [78, 83, 44]
Generated Node #0,1: 59:[78, 83, 44] Operation: 49-5=44
Exploring Operation: 83-5=78, Resulting Numbers: [78, 49, 78]
Generated Node #0,2: 59:[78, 49, 78] Operation: 83-5=78
Exploring Operation: 5+49=54, Resulting Numbers: [78, 83, 54]
Generated Node #0,3: 59:[78, 83, 54] Operation: 5+49=54
Exploring Operation: 78-5=73, Resulting Numbers: [49, 83, 73]
Generated Node #0,4: 59:[49, 83, 73] Operation: 78-5=73
Moving to Node #0,2
Current State: 59:[78, 49, 78], Operations: ['83-5=78']
Exploring Operation: 78-49=29, Resulting Numbers: [78, 29]
Generated Node #0,2,0: 59:[78, 29] Operation: 78-49=29
Exploring Operation: 78-49=29, Resulting Numbers: [78, 29]
Generated Node #0,2,1: 59:[78, 29] Operation: 78-49=29
Exploring Operation: 78+49=127, Resulting Numbers: [78, 127]
Generated Node #0,2,2: 59:[78, 127] Operation: 78+49=127
Exploring Operation: 78-78=0, Resulting Numbers: [49, 0]
Generated Node #0,2,3: 59:[49, 0] Operation: 78-78=0
Exploring Operation: 78/78=1, Resulting Numbers: [49, 1]
Generated Node #0,2,4: 59:[49, 1] Operation: 78/78=1
Moving to Node #0,4
Current State: 59:[49, 83, 73], Operations: ['78-5=73']
Exploring Operation: 73-49=24, Resulting Numbers: [83, 24]
Generated Node #0,4,0: 59:[83, 24] Operation: 73-49=24
Exploring Operation: 83-49=34, Resulting Numbers: [73, 34]
Generated Node #0,4,1: 59:[73, 34] Operation: 83-49=34
Exploring Operation: 83-73=10, Resulting Numbers: [49, 10]
Generated Node #0,4,2: 59:[49, 10] Operation: 83-73=10
Exploring Operation: 49+83=132, Resulting Numbers: [73, 132]
Generated Node #0,4,3: 59:[73, 132] Operation: 49+83=132
Exploring Operation: 49+73=122, Resulting Numbers: [83, 122]
Generated Node #0,4,4: 59:[83, 122] Operation: 49+73=122
Moving to Node #0,3
Current State: 59:[78, 83, 54], Operations: ['5+49=54']
Exploring Operation: 83-54=29, Resulting Numbers: [78, 29]
Generated Node #0,3,0: 59:[78, 29] Operation: 83-54=29
Exploring Operation: 78+54=132, Resulting Numbers: [83, 132]
Generated Node #0,3,1: 59:[83, 132] Operation: 78+54=132
Exploring Operation: 83-78=5, Resulting Numbers: [54, 5]
Generated Node #0,3,2: 59:[54, 5] Operation: 83-78=5
Exploring Operation: 78-54=24, Resulting Numbers: [83, 24]
Generated Node #0,3,3: 59:[83, 24] Operation: 78-54=24
Exploring Operation: 83+54=137, Resulting Numbers: [78, 137]
Generated Node #0,3,4: 59:[78, 137] Operation: 83+54=137
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 59:[78, 29], Operations: ['5+49=54', '83-54=29']
Exploring Operation: 78+29=107, Resulting Numbers: [107]
107,59 unequal: No Solution
Exploring Operation: 78-29=49, Resulting Numbers: [49]
49,59 unequal: No Solution
Exploring Operation: 78*29=2262, Resulting Numbers: [2262]
2262,59 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 #0,3,2
Current State: 59:[54, 5], Operations: ['5+49=54', '83-78=5']
Exploring Operation: 54-5=49, Resulting Numbers: [49]
49,59 unequal: No Solution
Exploring Operation: 54*5=270, Resulting Numbers: [270]
270,59 unequal: No Solution
Exploring Operation: 54+5=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
Moving to Node #0
Current State: 59:[78, 5, 49, 83], Operations: []
Exploring Operation: 5+49=54, Resulting Numbers: [78, 83, 54]
Generated Node #0,3: 59:[78, 83, 54] Operation: 5+49=54
Moving to Node #0,3
Current State: 59:[78, 83, 54], Operations: ['5+49=54']
Exploring Operation: 83-78=5, Resulting Numbers: [54, 5]
Generated Node #0,3,2: 59:[54, 5] Operation: 83-78=5
Moving to Node #0,3,2
Current State: 59:[54, 5], Operations: ['5+49=54', '83-78=5']
Exploring Operation: 54+5=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
Exit Sub Search at level 1
| 0.973958 | hs_5 | mult_heuristic |
[
19,
9,
1,
44
] | 72 | [
"19+9=28",
"1*44=44",
"28+44=72"
] | Current State: 72:[19, 9, 1, 44], Operations: []
Exploring Operation: 19+9=28, Resulting Numbers: [1, 44, 28]
Generated Node #2: [1, 44, 28] from Operation: 19+9=28
Current State: 72:[1, 44, 28], Operations: ['19+9=28']
Exploring Operation: 1*44=44, Resulting Numbers: [28, 44]
Generated Node #3: [28, 44] from Operation: 1*44=44
Current State: 72:[28, 44], Operations: ['19+9=28', '1*44=44']
Exploring Operation: 28+44=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[19, 9, 1, 44], Operations: []
Exploring Operation: 44-19=25, Resulting Numbers: [9, 1, 25]
Generated Node #0,0: 72:[9, 1, 25] Operation: 44-19=25
Moving to Node #0,0
Current State: 72:[9, 1, 25], Operations: ['44-19=25']
Exploring Operation: 25-1=24, Resulting Numbers: [9, 24]
Generated Node #0,0,0: 72:[9, 24] Operation: 25-1=24
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 72:[9, 24], Operations: ['44-19=25', '25-1=24']
Exploring Operation: 9+24=33, Resulting Numbers: [33]
33,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
99,
81,
2,
10
] | 15 | [
"99+81=180",
"2+10=12",
"180/12=15"
] | Current State: 15:[99, 81, 2, 10], Operations: []
Exploring Operation: 99+81=180, Resulting Numbers: [2, 10, 180]
Generated Node #2: [2, 10, 180] from Operation: 99+81=180
Current State: 15:[2, 10, 180], Operations: ['99+81=180']
Exploring Operation: 2+10=12, Resulting Numbers: [180, 12]
Generated Node #3: [180, 12] from Operation: 2+10=12
Current State: 15:[180, 12], Operations: ['99+81=180', '2+10=12']
Exploring Operation: 180/12=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[99, 81, 2, 10], Operations: []
Exploring Operation: 99-81=18, Resulting Numbers: [2, 10, 18]
Generated Node #0,0: 15:[2, 10, 18] Operation: 99-81=18
Moving to Node #0,0
Current State: 15:[2, 10, 18], Operations: ['99-81=18']
Exploring Operation: 10/2=5, Resulting Numbers: [18, 5]
Generated Node #0,0,0: 15:[18, 5] Operation: 10/2=5
Moving to Node #0,0,0
Current State: 15:[18, 5], Operations: ['99-81=18', '10/2=5']
Exploring Operation: 18-5=13, Resulting Numbers: [13]
13,15 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
82,
90,
63,
33
] | 42 | [
"82*63=5166",
"90+33=123",
"5166/123=42"
] | Current State: 42:[82, 90, 63, 33], Operations: []
Exploring Operation: 82*63=5166, Resulting Numbers: [90, 33, 5166]
Generated Node #2: [90, 33, 5166] from Operation: 82*63=5166
Current State: 42:[90, 33, 5166], Operations: ['82*63=5166']
Exploring Operation: 90+33=123, Resulting Numbers: [5166, 123]
Generated Node #3: [5166, 123] from Operation: 90+33=123
Current State: 42:[5166, 123], Operations: ['82*63=5166', '90+33=123']
Exploring Operation: 5166/123=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[82, 90, 63, 33], Operations: []
Exploring Operation: 90-63=27, Resulting Numbers: [82, 33, 27]
Generated Node #0,0: 42:[82, 33, 27] Operation: 90-63=27
Exploring Operation: 90-82=8, Resulting Numbers: [63, 33, 8]
Generated Node #0,1: 42:[63, 33, 8] Operation: 90-82=8
Exploring Operation: 82-63=19, Resulting Numbers: [90, 33, 19]
Generated Node #0,2: 42:[90, 33, 19] Operation: 82-63=19
Moving to Node #0,1
Current State: 42:[63, 33, 8], Operations: ['90-82=8']
Exploring Operation: 63-8=55, Resulting Numbers: [33, 55]
Generated Node #0,1,0: 42:[33, 55] Operation: 63-8=55
Exploring Operation: 63-33=30, Resulting Numbers: [8, 30]
Generated Node #0,1,1: 42:[8, 30] Operation: 63-33=30
Exploring Operation: 33+8=41, Resulting Numbers: [63, 41]
Generated Node #0,1,2: 42:[63, 41] Operation: 33+8=41
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 42:[8, 30], Operations: ['90-82=8', '63-33=30']
Exploring Operation: 8+30=38, Resulting Numbers: [38]
38,42 unequal: No Solution
Exploring Operation: 30-8=22, Resulting Numbers: [22]
22,42 unequal: No Solution
Exploring Operation: 8*30=240, Resulting Numbers: [240]
240,42 unequal: No Solution
No 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: 42:[33, 55], Operations: ['90-82=8', '63-8=55']
Exploring Operation: 55-33=22, Resulting Numbers: [22]
22,42 unequal: No Solution
Exploring Operation: 33*55=1815, Resulting Numbers: [1815]
1815,42 unequal: No Solution
Exploring Operation: 33+55=88, Resulting Numbers: [88]
88,42 unequal: No Solution
No 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: 42:[63, 41], Operations: ['90-82=8', '33+8=41']
Exploring Operation: 63+41=104, Resulting Numbers: [104]
104,42 unequal: No Solution
Exploring Operation: 63-41=22, Resulting Numbers: [22]
22,42 unequal: No Solution
Exploring Operation: 63*41=2583, Resulting Numbers: [2583]
2583,42 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: 42:[82, 33, 27], Operations: ['90-63=27']
Exploring Operation: 82-27=55, Resulting Numbers: [33, 55]
Generated Node #0,0,0: 42:[33, 55] Operation: 82-27=55
Exploring Operation: 82-33=49, Resulting Numbers: [27, 49]
Generated Node #0,0,1: 42:[27, 49] Operation: 82-33=49
Exploring Operation: 33-27=6, Resulting Numbers: [82, 6]
Generated Node #0,0,2: 42:[82, 6] Operation: 33-27=6
Moving to Node #0,2
Current State: 42:[90, 33, 19], Operations: ['82-63=19']
Exploring Operation: 90-19=71, Resulting Numbers: [33, 71]
Generated Node #0,2,0: 42:[33, 71] Operation: 90-19=71
Exploring Operation: 90-33=57, Resulting Numbers: [19, 57]
Generated Node #0,2,1: 42:[19, 57] Operation: 90-33=57
Exploring Operation: 33-19=14, Resulting Numbers: [90, 14]
Generated Node #0,2,2: 42:[90, 14] Operation: 33-19=14
Moving to Node #0,0,1
Current State: 42:[27, 49], Operations: ['90-63=27', '82-33=49']
Exploring Operation: 27+49=76, Resulting Numbers: [76]
76,42 unequal: No Solution
Exploring Operation: 49-27=22, Resulting Numbers: [22]
22,42 unequal: No Solution
Exploring Operation: 27*49=1323, Resulting Numbers: [1323]
1323,42 unequal: No Solution
Moving to Node #0,2,1
Current State: 42:[19, 57], Operations: ['82-63=19', '90-33=57']
Exploring Operation: 19+57=76, Resulting Numbers: [76]
76,42 unequal: No Solution
Exploring Operation: 57-19=38, Resulting Numbers: [38]
38,42 unequal: No Solution
Exploring Operation: 57/19=3, Resulting Numbers: [3]
3,42 unequal: No Solution
Moving to Node #0,0,0
Current State: 42:[33, 55], Operations: ['90-63=27', '82-27=55']
Exploring Operation: 33*55=1815, Resulting Numbers: [1815]
1815,42 unequal: No Solution
Exploring Operation: 55-33=22, Resulting Numbers: [22]
22,42 unequal: No Solution
Exploring Operation: 33+55=88, Resulting Numbers: [88]
88,42 unequal: No Solution
Moving to Node #0,2,0
Current State: 42:[33, 71], Operations: ['82-63=19', '90-19=71']
Exploring Operation: 71-33=38, Resulting Numbers: [38]
38,42 unequal: No Solution
Exploring Operation: 33*71=2343, Resulting Numbers: [2343]
2343,42 unequal: No Solution
Exploring Operation: 33+71=104, Resulting Numbers: [104]
104,42 unequal: No Solution
Moving to Node #0,0,2
Current State: 42:[82, 6], Operations: ['90-63=27', '33-27=6']
Exploring Operation: 82*6=492, Resulting Numbers: [492]
492,42 unequal: No Solution
Exploring Operation: 82-6=76, Resulting Numbers: [76]
76,42 unequal: No Solution
Exploring Operation: 82+6=88, Resulting Numbers: [88]
88,42 unequal: No Solution
Moving to Node #0,2,2
Current State: 42:[90, 14], Operations: ['82-63=19', '33-19=14']
Exploring Operation: 90+14=104, Resulting Numbers: [104]
104,42 unequal: No Solution
Exploring Operation: 90-14=76, Resulting Numbers: [76]
76,42 unequal: No Solution
Exploring Operation: 90*14=1260, Resulting Numbers: [1260]
1260,42 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
8,
5,
17,
77
] | 47 | [
"8+5=13",
"77-17=60",
"60-13=47"
] | Current State: 47:[8, 5, 17, 77], Operations: []
Exploring Operation: 8+5=13, Resulting Numbers: [17, 77, 13]
Generated Node #2: [17, 77, 13] from Operation: 8+5=13
Current State: 47:[17, 77, 13], Operations: ['8+5=13']
Exploring Operation: 77-17=60, Resulting Numbers: [13, 60]
Generated Node #3: [13, 60] from Operation: 77-17=60
Current State: 47:[13, 60], Operations: ['8+5=13', '77-17=60']
Exploring Operation: 60-13=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[8, 5, 17, 77], Operations: []
Exploring Operation: 8*5=40, Resulting Numbers: [17, 77, 40]
Generated Node #0,0: 47:[17, 77, 40] Operation: 8*5=40
Moving to Node #0,0
Current State: 47:[17, 77, 40], Operations: ['8*5=40']
Exploring Operation: 77-17=60, Resulting Numbers: [40, 60]
Generated Node #0,0,0: 47:[40, 60] Operation: 77-17=60
Moving to Node #0,0,0
Current State: 47:[40, 60], Operations: ['8*5=40', '77-17=60']
Exploring Operation: 60-40=20, Resulting Numbers: [20]
20,47 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
59,
7,
41,
79
] | 90 | [
"59-7=52",
"79-41=38",
"52+38=90"
] | Current State: 90:[59, 7, 41, 79], Operations: []
Exploring Operation: 59-7=52, Resulting Numbers: [41, 79, 52]
Generated Node #2: [41, 79, 52] from Operation: 59-7=52
Current State: 90:[41, 79, 52], Operations: ['59-7=52']
Exploring Operation: 79-41=38, Resulting Numbers: [52, 38]
Generated Node #3: [52, 38] from Operation: 79-41=38
Current State: 90:[52, 38], Operations: ['59-7=52', '79-41=38']
Exploring Operation: 52+38=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[59, 7, 41, 79], Operations: []
Exploring Operation: 59-7=52, Resulting Numbers: [41, 79, 52]
Generated Node #0,0: 90:[41, 79, 52] Operation: 59-7=52
Exploring Operation: 59-41=18, Resulting Numbers: [7, 79, 18]
Generated Node #0,1: 90:[7, 79, 18] Operation: 59-41=18
Exploring Operation: 59+41=100, Resulting Numbers: [7, 79, 100]
Generated Node #0,2: 90:[7, 79, 100] Operation: 59+41=100
Exploring Operation: 79-59=20, Resulting Numbers: [7, 41, 20]
Generated Node #0,3: 90:[7, 41, 20] Operation: 79-59=20
Moving to Node #0,3
Current State: 90:[7, 41, 20], Operations: ['79-59=20']
Exploring Operation: 41-7=34, Resulting Numbers: [20, 34]
Generated Node #0,3,0: 90:[20, 34] Operation: 41-7=34
Exploring Operation: 7+41=48, Resulting Numbers: [20, 48]
Generated Node #0,3,1: 90:[20, 48] Operation: 7+41=48
Exploring Operation: 20-7=13, Resulting Numbers: [41, 13]
Generated Node #0,3,2: 90:[41, 13] Operation: 20-7=13
Exploring Operation: 41-20=21, Resulting Numbers: [7, 21]
Generated Node #0,3,3: 90:[7, 21] Operation: 41-20=21
Moving to Node #0,1
Current State: 90:[7, 79, 18], Operations: ['59-41=18']
Exploring Operation: 18-7=11, Resulting Numbers: [79, 11]
Generated Node #0,1,0: 90:[79, 11] Operation: 18-7=11
Exploring Operation: 7+79=86, Resulting Numbers: [18, 86]
Generated Node #0,1,1: 90:[18, 86] Operation: 7+79=86
Exploring Operation: 79+18=97, Resulting Numbers: [7, 97]
Generated Node #0,1,2: 90:[7, 97] Operation: 79+18=97
Exploring Operation: 7+18=25, Resulting Numbers: [79, 25]
Generated Node #0,1,3: 90:[79, 25] Operation: 7+18=25
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 90:[18, 86], Operations: ['59-41=18', '7+79=86']
Exploring Operation: 86-18=68, Resulting Numbers: [68]
68,90 unequal: No Solution
Exploring Operation: 18*86=1548, Resulting Numbers: [1548]
1548,90 unequal: No Solution
Exploring Operation: 18+86=104, Resulting Numbers: [104]
104,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 90:[7, 97], Operations: ['59-41=18', '79+18=97']
Exploring Operation: 97-7=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Moving to Node #0
Current State: 90:[59, 7, 41, 79], Operations: []
Exploring Operation: 59-41=18, Resulting Numbers: [7, 79, 18]
Generated Node #0,1: 90:[7, 79, 18] Operation: 59-41=18
Moving to Node #0,1
Current State: 90:[7, 79, 18], Operations: ['59-41=18']
Exploring Operation: 79+18=97, Resulting Numbers: [7, 97]
Generated Node #0,1,2: 90:[7, 97] Operation: 79+18=97
Moving to Node #0,1,2
Current State: 90:[7, 97], Operations: ['59-41=18', '79+18=97']
Exploring Operation: 97-7=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639 | hs_4 | sum_heuristic |
[
22,
24,
86,
77
] | 55 | [
"22+24=46",
"86-77=9",
"46+9=55"
] | Current State: 55:[22, 24, 86, 77], Operations: []
Exploring Operation: 22+24=46, Resulting Numbers: [86, 77, 46]
Generated Node #2: [86, 77, 46] from Operation: 22+24=46
Current State: 55:[86, 77, 46], Operations: ['22+24=46']
Exploring Operation: 86-77=9, Resulting Numbers: [46, 9]
Generated Node #3: [46, 9] from Operation: 86-77=9
Current State: 55:[46, 9], Operations: ['22+24=46', '86-77=9']
Exploring Operation: 46+9=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[22, 24, 86, 77], Operations: []
Exploring Operation: 86-24=62, Resulting Numbers: [22, 77, 62]
Generated Node #0,0: 55:[22, 77, 62] Operation: 86-24=62
Exploring Operation: 86-77=9, Resulting Numbers: [22, 24, 9]
Generated Node #0,1: 55:[22, 24, 9] Operation: 86-77=9
Moving to Node #0,1
Current State: 55:[22, 24, 9], Operations: ['86-77=9']
Exploring Operation: 24-22=2, Resulting Numbers: [9, 2]
Generated Node #0,1,0: 55:[9, 2] Operation: 24-22=2
Exploring Operation: 22+24=46, Resulting Numbers: [9, 46]
Generated Node #0,1,1: 55:[9, 46] Operation: 22+24=46
Moving to Node #0,0
Current State: 55:[22, 77, 62], Operations: ['86-24=62']
Exploring Operation: 77-22=55, Resulting Numbers: [62, 55]
Generated Node #0,0,0: 55:[62, 55] Operation: 77-22=55
Exploring Operation: 77-62=15, Resulting Numbers: [22, 15]
Generated Node #0,0,1: 55:[22, 15] Operation: 77-62=15
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 55:[62, 55], Operations: ['86-24=62', '77-22=55']
Exploring Operation: 62-55=7, Resulting Numbers: [7]
7,55 unequal: No Solution
Exploring Operation: 62+55=117, Resulting Numbers: [117]
117,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 55:[22, 15], Operations: ['86-24=62', '77-62=15']
Exploring Operation: 22-15=7, Resulting Numbers: [7]
7,55 unequal: No Solution
Exploring Operation: 22+15=37, Resulting Numbers: [37]
37,55 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: 55:[9, 2], Operations: ['86-77=9', '24-22=2']
Exploring Operation: 9+2=11, Resulting Numbers: [11]
11,55 unequal: No Solution
Exploring Operation: 9-2=7, Resulting Numbers: [7]
7,55 unequal: No Solution
Moving to Node #0,1,1
Current State: 55:[9, 46], Operations: ['86-77=9', '22+24=46']
Exploring Operation: 9+46=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Moving to Node #0
Current State: 55:[22, 24, 86, 77], Operations: []
Exploring Operation: 86-77=9, Resulting Numbers: [22, 24, 9]
Generated Node #0,1: 55:[22, 24, 9] Operation: 86-77=9
Moving to Node #0,1
Current State: 55:[22, 24, 9], Operations: ['86-77=9']
Exploring Operation: 22+24=46, Resulting Numbers: [9, 46]
Generated Node #0,1,1: 55:[9, 46] Operation: 22+24=46
Moving to Node #0,1,1
Current State: 55:[9, 46], Operations: ['86-77=9', '22+24=46']
Exploring Operation: 9+46=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 0.985243 | hs_2 | mult_heuristic |
[
38,
20,
31,
27
] | 33 | [
"31-27=4",
"20/4=5",
"38-5=33"
] | Current State: 33:[38, 20, 31, 27], Operations: []
Exploring Operation: 31-27=4, Resulting Numbers: [38, 20, 4]
Generated Node #2: [38, 20, 4] from Operation: 31-27=4
Current State: 33:[38, 20, 4], Operations: ['31-27=4']
Exploring Operation: 20/4=5, Resulting Numbers: [38, 5]
Generated Node #3: [38, 5] from Operation: 20/4=5
Current State: 33:[38, 5], Operations: ['31-27=4', '20/4=5']
Exploring Operation: 38-5=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[38, 20, 31, 27], Operations: []
Exploring Operation: 31-20=11, Resulting Numbers: [38, 27, 11]
Generated Node #0,0: 33:[38, 27, 11] Operation: 31-20=11
Exploring Operation: 38-27=11, Resulting Numbers: [20, 31, 11]
Generated Node #0,1: 33:[20, 31, 11] Operation: 38-27=11
Moving to Node #0,0
Current State: 33:[38, 27, 11], Operations: ['31-20=11']
Exploring Operation: 27+11=38, Resulting Numbers: [38, 38]
Generated Node #0,0,0: 33:[38, 38] Operation: 27+11=38
Exploring Operation: 38-27=11, Resulting Numbers: [11, 11]
Generated Node #0,0,1: 33:[11, 11] Operation: 38-27=11
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 33:[11, 11], Operations: ['31-20=11', '38-27=11']
Exploring Operation: 11/11=1, Resulting Numbers: [1]
1,33 unequal: No Solution
Exploring Operation: 11-11=0, Resulting Numbers: [0]
0,33 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 #0,0,0
Current State: 33:[38, 38], Operations: ['31-20=11', '27+11=38']
Exploring Operation: 38-38=0, Resulting Numbers: [0]
0,33 unequal: No Solution
Exploring Operation: 38/38=1, Resulting Numbers: [1]
1,33 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: 33:[20, 31, 11], Operations: ['38-27=11']
Exploring Operation: 31-20=11, Resulting Numbers: [11, 11]
Generated Node #0,1,0: 33:[11, 11] Operation: 31-20=11
Exploring Operation: 20+11=31, Resulting Numbers: [31, 31]
Generated Node #0,1,1: 33:[31, 31] Operation: 20+11=31
Moving to Node #0,1,0
Current State: 33:[11, 11], Operations: ['38-27=11', '31-20=11']
Exploring Operation: 11/11=1, Resulting Numbers: [1]
1,33 unequal: No Solution
Exploring Operation: 11-11=0, Resulting Numbers: [0]
0,33 unequal: No Solution
Moving to Node #0,1,1
Current State: 33:[31, 31], Operations: ['38-27=11', '20+11=31']
Exploring Operation: 31-31=0, Resulting Numbers: [0]
0,33 unequal: No Solution
Exploring Operation: 31/31=1, Resulting Numbers: [1]
1,33 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
55,
78,
21,
63
] | 29 | [
"78*21=1638",
"1638/63=26",
"55-26=29"
] | Current State: 29:[55, 78, 21, 63], Operations: []
Exploring Operation: 78*21=1638, Resulting Numbers: [55, 63, 1638]
Generated Node #2: [55, 63, 1638] from Operation: 78*21=1638
Current State: 29:[55, 63, 1638], Operations: ['78*21=1638']
Exploring Operation: 1638/63=26, Resulting Numbers: [55, 26]
Generated Node #3: [55, 26] from Operation: 1638/63=26
Current State: 29:[55, 26], Operations: ['78*21=1638', '1638/63=26']
Exploring Operation: 55-26=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[55, 78, 21, 63], Operations: []
Exploring Operation: 78-63=15, Resulting Numbers: [55, 21, 15]
Generated Node #0,0: 29:[55, 21, 15] Operation: 78-63=15
Exploring Operation: 78-55=23, Resulting Numbers: [21, 63, 23]
Generated Node #0,1: 29:[21, 63, 23] Operation: 78-55=23
Moving to Node #0,0
Current State: 29:[55, 21, 15], Operations: ['78-63=15']
Exploring Operation: 55-21=34, Resulting Numbers: [15, 34]
Generated Node #0,0,0: 29:[15, 34] Operation: 55-21=34
Exploring Operation: 55-15=40, Resulting Numbers: [21, 40]
Generated Node #0,0,1: 29:[21, 40] Operation: 55-15=40
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 29:[15, 34], Operations: ['78-63=15', '55-21=34']
Exploring Operation: 34-15=19, Resulting Numbers: [19]
19,29 unequal: No Solution
Exploring Operation: 15+34=49, Resulting Numbers: [49]
49,29 unequal: No Solution
No 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: 29:[21, 40], Operations: ['78-63=15', '55-15=40']
Exploring Operation: 40-21=19, Resulting Numbers: [19]
19,29 unequal: No Solution
Exploring Operation: 21+40=61, Resulting Numbers: [61]
61,29 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: 29:[21, 63, 23], Operations: ['78-55=23']
Exploring Operation: 63-21=42, Resulting Numbers: [23, 42]
Generated Node #0,1,0: 29:[23, 42] Operation: 63-21=42
Exploring Operation: 63-23=40, Resulting Numbers: [21, 40]
Generated Node #0,1,1: 29:[21, 40] Operation: 63-23=40
Moving to Node #0,1,0
Current State: 29:[23, 42], Operations: ['78-55=23', '63-21=42']
Exploring Operation: 42-23=19, Resulting Numbers: [19]
19,29 unequal: No Solution
Exploring Operation: 23+42=65, Resulting Numbers: [65]
65,29 unequal: No Solution
Moving to Node #0,1,1
Current State: 29:[21, 40], Operations: ['78-55=23', '63-23=40']
Exploring Operation: 21+40=61, Resulting Numbers: [61]
61,29 unequal: No Solution
Exploring Operation: 40-21=19, Resulting Numbers: [19]
19,29 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
79,
13,
94,
45
] | 16 | [
"94-79=15",
"45/15=3",
"13+3=16"
] | Current State: 16:[79, 13, 94, 45], Operations: []
Exploring Operation: 94-79=15, Resulting Numbers: [13, 45, 15]
Generated Node #2: [13, 45, 15] from Operation: 94-79=15
Current State: 16:[13, 45, 15], Operations: ['94-79=15']
Exploring Operation: 45/15=3, Resulting Numbers: [13, 3]
Generated Node #3: [13, 3] from Operation: 45/15=3
Current State: 16:[13, 3], Operations: ['94-79=15', '45/15=3']
Exploring Operation: 13+3=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[79, 13, 94, 45], Operations: []
Exploring Operation: 94-79=15, Resulting Numbers: [13, 45, 15]
Generated Node #0,0: 16:[13, 45, 15] Operation: 94-79=15
Moving to Node #0,0
Current State: 16:[13, 45, 15], Operations: ['94-79=15']
Exploring Operation: 45/15=3, Resulting Numbers: [13, 3]
Generated Node #0,0,0: 16:[13, 3] Operation: 45/15=3
Moving to Node #0,0,0
Current State: 16:[13, 3], Operations: ['94-79=15', '45/15=3']
Exploring Operation: 13+3=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[79, 13, 94, 45], Operations: []
Exploring Operation: 94-79=15, Resulting Numbers: [13, 45, 15]
Generated Node #0,0: 16:[13, 45, 15] Operation: 94-79=15
Moving to Node #0,0
Current State: 16:[13, 45, 15], Operations: ['94-79=15']
Exploring Operation: 45/15=3, Resulting Numbers: [13, 3]
Generated Node #0,0,0: 16:[13, 3] Operation: 45/15=3
Moving to Node #0,0,0
Current State: 16:[13, 3], Operations: ['94-79=15', '45/15=3']
Exploring Operation: 13+3=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 0.993924 | hs_1 | mult_heuristic |
[
55,
29,
36,
64
] | 63 | [
"64-55=9",
"36-29=7",
"9*7=63"
] | Current State: 63:[55, 29, 36, 64], Operations: []
Exploring Operation: 64-55=9, Resulting Numbers: [29, 36, 9]
Generated Node #2: [29, 36, 9] from Operation: 64-55=9
Current State: 63:[29, 36, 9], Operations: ['64-55=9']
Exploring Operation: 36-29=7, Resulting Numbers: [9, 7]
Generated Node #3: [9, 7] from Operation: 36-29=7
Current State: 63:[9, 7], Operations: ['64-55=9', '36-29=7']
Exploring Operation: 9*7=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[55, 29, 36, 64], Operations: []
Exploring Operation: 36-29=7, Resulting Numbers: [55, 64, 7]
Generated Node #0,0: 63:[55, 64, 7] Operation: 36-29=7
Exploring Operation: 55-36=19, Resulting Numbers: [29, 64, 19]
Generated Node #0,1: 63:[29, 64, 19] Operation: 55-36=19
Start Sub Search at level 1: Moving to Node #0,0
Current State: 63:[55, 64, 7], Operations: ['36-29=7']
Exploring Operation: 64-55=9, Resulting Numbers: [7, 9]
Generated Node #0,0,0: 63:[7, 9] Operation: 64-55=9
Exploring Operation: 55+7=62, Resulting Numbers: [64, 62]
Generated Node #0,0,1: 63:[64, 62] Operation: 55+7=62
Moving to Node #0,0,0
Current State: 63:[7, 9], Operations: ['36-29=7', '64-55=9']
Exploring Operation: 9-7=2, Resulting Numbers: [2]
2,63 unequal: No Solution
Exploring Operation: 7*9=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Moving to Node #0
Current State: 63:[55, 29, 36, 64], Operations: []
Exploring Operation: 36-29=7, Resulting Numbers: [55, 64, 7]
Generated Node #0,0: 63:[55, 64, 7] Operation: 36-29=7
Moving to Node #0,0
Current State: 63:[55, 64, 7], Operations: ['36-29=7']
Exploring Operation: 64-55=9, Resulting Numbers: [7, 9]
Generated Node #0,0,0: 63:[7, 9] Operation: 64-55=9
Moving to Node #0,0,0
Current State: 63:[7, 9], Operations: ['36-29=7', '64-55=9']
Exploring Operation: 7*9=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
58,
85,
16,
93
] | 60 | [
"93-85=8",
"16/8=2",
"58+2=60"
] | Current State: 60:[58, 85, 16, 93], Operations: []
Exploring Operation: 93-85=8, Resulting Numbers: [58, 16, 8]
Generated Node #2: [58, 16, 8] from Operation: 93-85=8
Current State: 60:[58, 16, 8], Operations: ['93-85=8']
Exploring Operation: 16/8=2, Resulting Numbers: [58, 2]
Generated Node #3: [58, 2] from Operation: 16/8=2
Current State: 60:[58, 2], Operations: ['93-85=8', '16/8=2']
Exploring Operation: 58+2=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[58, 85, 16, 93], Operations: []
Exploring Operation: 93-85=8, Resulting Numbers: [58, 16, 8]
Generated Node #0,0: 60:[58, 16, 8] Operation: 93-85=8
Exploring Operation: 93-58=35, Resulting Numbers: [85, 16, 35]
Generated Node #0,1: 60:[85, 16, 35] Operation: 93-58=35
Moving to Node #0,0
Current State: 60:[58, 16, 8], Operations: ['93-85=8']
Exploring Operation: 16-8=8, Resulting Numbers: [58, 8]
Generated Node #0,0,0: 60:[58, 8] Operation: 16-8=8
Exploring Operation: 16/8=2, Resulting Numbers: [58, 2]
Generated Node #0,0,1: 60:[58, 2] Operation: 16/8=2
Moving to Node #0,1
Current State: 60:[85, 16, 35], Operations: ['93-58=35']
Exploring Operation: 85-16=69, Resulting Numbers: [35, 69]
Generated Node #0,1,0: 60:[35, 69] Operation: 85-16=69
Exploring Operation: 85-35=50, Resulting Numbers: [16, 50]
Generated Node #0,1,1: 60:[16, 50] Operation: 85-35=50
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 60:[16, 50], Operations: ['93-58=35', '85-35=50']
Exploring Operation: 16+50=66, Resulting Numbers: [66]
66,60 unequal: No Solution
Exploring Operation: 50-16=34, Resulting Numbers: [34]
34,60 unequal: No Solution
No 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: 60:[35, 69], Operations: ['93-58=35', '85-16=69']
Exploring Operation: 35+69=104, Resulting Numbers: [104]
104,60 unequal: No Solution
Exploring Operation: 69-35=34, Resulting Numbers: [34]
34,60 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: 60:[58, 2], Operations: ['93-85=8', '16/8=2']
Exploring Operation: 58/2=29, Resulting Numbers: [29]
29,60 unequal: No Solution
Exploring Operation: 58+2=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Moving to Node #0
Current State: 60:[58, 85, 16, 93], Operations: []
Exploring Operation: 93-85=8, Resulting Numbers: [58, 16, 8]
Generated Node #0,0: 60:[58, 16, 8] Operation: 93-85=8
Moving to Node #0,0
Current State: 60:[58, 16, 8], Operations: ['93-85=8']
Exploring Operation: 16/8=2, Resulting Numbers: [58, 2]
Generated Node #0,0,1: 60:[58, 2] Operation: 16/8=2
Moving to Node #0,0,1
Current State: 60:[58, 2], Operations: ['93-85=8', '16/8=2']
Exploring Operation: 58+2=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 0.986111 | hs_2 | mult_heuristic |
[
10,
26,
82,
3
] | 26 | [
"10+26=36",
"3*36=108",
"108-82=26"
] | Current State: 26:[10, 26, 82, 3], Operations: []
Exploring Operation: 10+26=36, Resulting Numbers: [82, 3, 36]
Generated Node #2: [82, 3, 36] from Operation: 10+26=36
Current State: 26:[82, 3, 36], Operations: ['10+26=36']
Exploring Operation: 3*36=108, Resulting Numbers: [82, 108]
Generated Node #3: [82, 108] from Operation: 3*36=108
Current State: 26:[82, 108], Operations: ['10+26=36', '3*36=108']
Exploring Operation: 108-82=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[10, 26, 82, 3], Operations: []
Exploring Operation: 82-26=56, Resulting Numbers: [10, 3, 56]
Generated Node #0,0: 26:[10, 3, 56] Operation: 82-26=56
Moving to Node #0,0
Current State: 26:[10, 3, 56], Operations: ['82-26=56']
Exploring Operation: 56-10=46, Resulting Numbers: [3, 46]
Generated Node #0,0,0: 26:[3, 46] Operation: 56-10=46
Moving to Node #0,0,0
Current State: 26:[3, 46], Operations: ['82-26=56', '56-10=46']
Exploring Operation: 46-3=43, Resulting Numbers: [43]
43,26 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
21,
70,
21,
86
] | 86 | [
"21-21=0",
"70*0=0",
"86+0=86"
] | Current State: 86:[21, 70, 21, 86], Operations: []
Exploring Operation: 21-21=0, Resulting Numbers: [70, 86, 0]
Generated Node #2: [70, 86, 0] from Operation: 21-21=0
Current State: 86:[70, 86, 0], Operations: ['21-21=0']
Exploring Operation: 70*0=0, Resulting Numbers: [86, 0]
Generated Node #3: [86, 0] from Operation: 70*0=0
Current State: 86:[86, 0], Operations: ['21-21=0', '70*0=0']
Exploring Operation: 86+0=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[21, 70, 21, 86], Operations: []
Exploring Operation: 21-21=0, Resulting Numbers: [70, 86, 0]
Generated Node #0,0: 86:[70, 86, 0] Operation: 21-21=0
Exploring Operation: 21/21=1, Resulting Numbers: [70, 86, 1]
Generated Node #0,1: 86:[70, 86, 1] Operation: 21/21=1
Exploring Operation: 21+21=42, Resulting Numbers: [70, 86, 42]
Generated Node #0,2: 86:[70, 86, 42] Operation: 21+21=42
Moving to Node #0,1
Current State: 86:[70, 86, 1], Operations: ['21/21=1']
Exploring Operation: 70+1=71, Resulting Numbers: [86, 71]
Generated Node #0,1,0: 86:[86, 71] Operation: 70+1=71
Exploring Operation: 70*1=70, Resulting Numbers: [86, 70]
Generated Node #0,1,1: 86:[86, 70] Operation: 70*1=70
Exploring Operation: 86-70=16, Resulting Numbers: [1, 16]
Generated Node #0,1,2: 86:[1, 16] Operation: 86-70=16
Moving to Node #0,2
Current State: 86:[70, 86, 42], Operations: ['21+21=42']
Exploring Operation: 86-70=16, Resulting Numbers: [42, 16]
Generated Node #0,2,0: 86:[42, 16] Operation: 86-70=16
Exploring Operation: 70-42=28, Resulting Numbers: [86, 28]
Generated Node #0,2,1: 86:[86, 28] Operation: 70-42=28
Exploring Operation: 86-42=44, Resulting Numbers: [70, 44]
Generated Node #0,2,2: 86:[70, 44] Operation: 86-42=44
Moving to Node #0,0
Current State: 86:[70, 86, 0], Operations: ['21-21=0']
Exploring Operation: 70+0=70, Resulting Numbers: [86, 70]
Generated Node #0,0,0: 86:[86, 70] Operation: 70+0=70
Exploring Operation: 86-70=16, Resulting Numbers: [0, 16]
Generated Node #0,0,1: 86:[0, 16] Operation: 86-70=16
Exploring Operation: 70*0=0, Resulting Numbers: [86, 0]
Generated Node #0,0,2: 86:[86, 0] Operation: 70*0=0
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 86:[86, 0], Operations: ['21-21=0', '70*0=0']
Exploring Operation: 86-0=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Moving to Node #0
Current State: 86:[21, 70, 21, 86], Operations: []
Exploring Operation: 21-21=0, Resulting Numbers: [70, 86, 0]
Generated Node #0,0: 86:[70, 86, 0] Operation: 21-21=0
Moving to Node #0,0
Current State: 86:[70, 86, 0], Operations: ['21-21=0']
Exploring Operation: 70*0=0, Resulting Numbers: [86, 0]
Generated Node #0,0,2: 86:[86, 0] Operation: 70*0=0
Moving to Node #0,0,2
Current State: 86:[86, 0], Operations: ['21-21=0', '70*0=0']
Exploring Operation: 86-0=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_3 | sum_heuristic |
[
42,
17,
92,
69
] | 39 | [
"42*92=3864",
"3864/69=56",
"56-17=39"
] | Current State: 39:[42, 17, 92, 69], Operations: []
Exploring Operation: 42*92=3864, Resulting Numbers: [17, 69, 3864]
Generated Node #2: [17, 69, 3864] from Operation: 42*92=3864
Current State: 39:[17, 69, 3864], Operations: ['42*92=3864']
Exploring Operation: 3864/69=56, Resulting Numbers: [17, 56]
Generated Node #3: [17, 56] from Operation: 3864/69=56
Current State: 39:[17, 56], Operations: ['42*92=3864', '3864/69=56']
Exploring Operation: 56-17=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[42, 17, 92, 69], Operations: []
Exploring Operation: 69-42=27, Resulting Numbers: [17, 92, 27]
Generated Node #0,0: 39:[17, 92, 27] Operation: 69-42=27
Exploring Operation: 92-17=75, Resulting Numbers: [42, 69, 75]
Generated Node #0,1: 39:[42, 69, 75] Operation: 92-17=75
Exploring Operation: 69-17=52, Resulting Numbers: [42, 92, 52]
Generated Node #0,2: 39:[42, 92, 52] Operation: 69-17=52
Exploring Operation: 92-69=23, Resulting Numbers: [42, 17, 23]
Generated Node #0,3: 39:[42, 17, 23] Operation: 92-69=23
Exploring Operation: 92-42=50, Resulting Numbers: [17, 69, 50]
Generated Node #0,4: 39:[17, 69, 50] Operation: 92-42=50
Start Sub Search at level 1: Moving to Node #0,3
Current State: 39:[42, 17, 23], Operations: ['92-69=23']
Exploring Operation: 23-17=6, Resulting Numbers: [42, 6]
Generated Node #0,3,0: 39:[42, 6] Operation: 23-17=6
Exploring Operation: 42+17=59, Resulting Numbers: [23, 59]
Generated Node #0,3,1: 39:[23, 59] Operation: 42+17=59
Exploring Operation: 17+23=40, Resulting Numbers: [42, 40]
Generated Node #0,3,2: 39:[42, 40] Operation: 17+23=40
Exploring Operation: 42-23=19, Resulting Numbers: [17, 19]
Generated Node #0,3,3: 39:[17, 19] Operation: 42-23=19
Exploring Operation: 42-17=25, Resulting Numbers: [23, 25]
Generated Node #0,3,4: 39:[23, 25] Operation: 42-17=25
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 39:[42, 40], Operations: ['92-69=23', '17+23=40']
Exploring Operation: 42-40=2, Resulting Numbers: [2]
2,39 unequal: No Solution
Exploring Operation: 42*40=1680, Resulting Numbers: [1680]
1680,39 unequal: No Solution
Exploring Operation: 42+40=82, Resulting Numbers: [82]
82,39 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: 39:[42, 6], Operations: ['92-69=23', '23-17=6']
Exploring Operation: 42+6=48, Resulting Numbers: [48]
48,39 unequal: No Solution
Exploring Operation: 42-6=36, Resulting Numbers: [36]
36,39 unequal: No Solution
Exploring Operation: 42*6=252, Resulting Numbers: [252]
252,39 unequal: No Solution
Exploring Operation: 42/6=7, Resulting Numbers: [7]
7,39 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: 39:[17, 19], Operations: ['92-69=23', '42-23=19']
Exploring Operation: 17+19=36, Resulting Numbers: [36]
36,39 unequal: No Solution
Exploring Operation: 19-17=2, Resulting Numbers: [2]
2,39 unequal: No Solution
Exploring Operation: 17*19=323, Resulting Numbers: [323]
323,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 39:[23, 25], Operations: ['92-69=23', '42-17=25']
Exploring Operation: 23*25=575, Resulting Numbers: [575]
575,39 unequal: No Solution
Exploring Operation: 25-23=2, Resulting Numbers: [2]
2,39 unequal: No Solution
Exploring Operation: 23+25=48, Resulting Numbers: [48]
48,39 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: 39:[23, 59], Operations: ['92-69=23', '42+17=59']
Exploring Operation: 23*59=1357, Resulting Numbers: [1357]
1357,39 unequal: No Solution
Exploring Operation: 23+59=82, Resulting Numbers: [82]
82,39 unequal: No Solution
Exploring Operation: 59-23=36, Resulting Numbers: [36]
36,39 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: 39:[17, 69, 50], Operations: ['92-42=50']
Exploring Operation: 69-17=52, Resulting Numbers: [50, 52]
Generated Node #0,4,0: 39:[50, 52] Operation: 69-17=52
Exploring Operation: 50-17=33, Resulting Numbers: [69, 33]
Generated Node #0,4,1: 39:[69, 33] Operation: 50-17=33
Exploring Operation: 17+69=86, Resulting Numbers: [50, 86]
Generated Node #0,4,2: 39:[50, 86] Operation: 17+69=86
Exploring Operation: 69-50=19, Resulting Numbers: [17, 19]
Generated Node #0,4,3: 39:[17, 19] Operation: 69-50=19
Exploring Operation: 17+50=67, Resulting Numbers: [69, 67]
Generated Node #0,4,4: 39:[69, 67] Operation: 17+50=67
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 39:[17, 19], Operations: ['92-42=50', '69-50=19']
Exploring Operation: 17+19=36, Resulting Numbers: [36]
36,39 unequal: No Solution
Exploring Operation: 19-17=2, Resulting Numbers: [2]
2,39 unequal: No Solution
Exploring Operation: 17*19=323, Resulting Numbers: [323]
323,39 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: 39:[50, 52], Operations: ['92-42=50', '69-17=52']
Exploring Operation: 50+52=102, Resulting Numbers: [102]
102,39 unequal: No Solution
Exploring Operation: 52-50=2, Resulting Numbers: [2]
2,39 unequal: No Solution
Exploring Operation: 50*52=2600, Resulting Numbers: [2600]
2600,39 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: 39:[69, 33], Operations: ['92-42=50', '50-17=33']
Exploring Operation: 69+33=102, Resulting Numbers: [102]
102,39 unequal: No Solution
Exploring Operation: 69-33=36, Resulting Numbers: [36]
36,39 unequal: No Solution
Exploring Operation: 69*33=2277, Resulting Numbers: [2277]
2277,39 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: 39:[50, 86], Operations: ['92-42=50', '17+69=86']
Exploring Operation: 86-50=36, Resulting Numbers: [36]
36,39 unequal: No Solution
Exploring Operation: 50+86=136, Resulting Numbers: [136]
136,39 unequal: No Solution
Exploring Operation: 50*86=4300, Resulting Numbers: [4300]
4300,39 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: 39:[69, 67], Operations: ['92-42=50', '17+50=67']
Exploring Operation: 69+67=136, Resulting Numbers: [136]
136,39 unequal: No Solution
Exploring Operation: 69-67=2, Resulting Numbers: [2]
2,39 unequal: No Solution
Exploring Operation: 69*67=4623, Resulting Numbers: [4623]
4623,39 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: 39:[17, 92, 27], Operations: ['69-42=27']
Exploring Operation: 92-27=65, Resulting Numbers: [17, 65]
Generated Node #0,0,0: 39:[17, 65] Operation: 92-27=65
Exploring Operation: 17+92=109, Resulting Numbers: [27, 109]
Generated Node #0,0,1: 39:[27, 109] Operation: 17+92=109
Exploring Operation: 92-17=75, Resulting Numbers: [27, 75]
Generated Node #0,0,2: 39:[27, 75] Operation: 92-17=75
Exploring Operation: 17+27=44, Resulting Numbers: [92, 44]
Generated Node #0,0,3: 39:[92, 44] Operation: 17+27=44
Exploring Operation: 27-17=10, Resulting Numbers: [92, 10]
Generated Node #0,0,4: 39:[92, 10] Operation: 27-17=10
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 39:[17, 65], Operations: ['69-42=27', '92-27=65']
Exploring Operation: 17*65=1105, Resulting Numbers: [1105]
1105,39 unequal: No Solution
Exploring Operation: 65-17=48, Resulting Numbers: [48]
48,39 unequal: No Solution
Exploring Operation: 17+65=82, Resulting Numbers: [82]
82,39 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: 39:[27, 75], Operations: ['69-42=27', '92-17=75']
Exploring Operation: 75-27=48, Resulting Numbers: [48]
48,39 unequal: No Solution
Exploring Operation: 27*75=2025, Resulting Numbers: [2025]
2025,39 unequal: No Solution
Exploring Operation: 27+75=102, Resulting Numbers: [102]
102,39 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: 39:[92, 10], Operations: ['69-42=27', '27-17=10']
Exploring Operation: 92+10=102, Resulting Numbers: [102]
102,39 unequal: No Solution
Exploring Operation: 92*10=920, Resulting Numbers: [920]
920,39 unequal: No Solution
Exploring Operation: 92-10=82, Resulting Numbers: [82]
82,39 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: 39:[92, 44], Operations: ['69-42=27', '17+27=44']
Exploring Operation: 92-44=48, Resulting Numbers: [48]
48,39 unequal: No Solution
Exploring Operation: 92+44=136, Resulting Numbers: [136]
136,39 unequal: No Solution
Exploring Operation: 92*44=4048, Resulting Numbers: [4048]
4048,39 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: 39:[27, 109], Operations: ['69-42=27', '17+92=109']
Exploring Operation: 27*109=2943, Resulting Numbers: [2943]
2943,39 unequal: No Solution
Exploring Operation: 109-27=82, Resulting Numbers: [82]
82,39 unequal: No Solution
Exploring Operation: 27+109=136, Resulting Numbers: [136]
136,39 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: 39:[42, 69, 75], Operations: ['92-17=75']
Exploring Operation: 75-42=33, Resulting Numbers: [69, 33]
Generated Node #0,1,0: 39:[69, 33] Operation: 75-42=33
Exploring Operation: 42+69=111, Resulting Numbers: [75, 111]
Generated Node #0,1,1: 39:[75, 111] Operation: 42+69=111
Exploring Operation: 69-42=27, Resulting Numbers: [75, 27]
Generated Node #0,1,2: 39:[75, 27] Operation: 69-42=27
Exploring Operation: 42+75=117, Resulting Numbers: [69, 117]
Generated Node #0,1,3: 39:[69, 117] Operation: 42+75=117
Exploring Operation: 75-69=6, Resulting Numbers: [42, 6]
Generated Node #0,1,4: 39:[42, 6] Operation: 75-69=6
Moving to Node #0,1,4
Current State: 39:[42, 6], Operations: ['92-17=75', '75-69=6']
Exploring Operation: 42-6=36, Resulting Numbers: [36]
36,39 unequal: No Solution
Exploring Operation: 42/6=7, Resulting Numbers: [7]
7,39 unequal: No Solution
Exploring Operation: 42+6=48, Resulting Numbers: [48]
48,39 unequal: No Solution
Exploring Operation: 42*6=252, Resulting Numbers: [252]
252,39 unequal: No Solution
Moving to Node #0,1,0
Current State: 39:[69, 33], Operations: ['92-17=75', '75-42=33']
Exploring Operation: 69+33=102, Resulting Numbers: [102]
102,39 unequal: No Solution
Exploring Operation: 69*33=2277, Resulting Numbers: [2277]
2277,39 unequal: No Solution
Exploring Operation: 69-33=36, Resulting Numbers: [36]
36,39 unequal: No Solution
Moving to Node #0,1,2
Current State: 39:[75, 27], Operations: ['92-17=75', '69-42=27']
Exploring Operation: 75+27=102, Resulting Numbers: [102]
102,39 unequal: No Solution
Exploring Operation: 75*27=2025, Resulting Numbers: [2025]
2025,39 unequal: No Solution
Exploring Operation: 75-27=48, Resulting Numbers: [48]
48,39 unequal: No Solution
Moving to Node #0,1,1
Current State: 39:[75, 111], Operations: ['92-17=75', '42+69=111']
Exploring Operation: 75*111=8325, Resulting Numbers: [8325]
8325,39 unequal: No Solution
Exploring Operation: 75+111=186, Resulting Numbers: [186]
186,39 unequal: No Solution
Exploring Operation: 111-75=36, Resulting Numbers: [36]
36,39 unequal: No Solution
Moving to Node #0,1,3
Current State: 39:[69, 117], Operations: ['92-17=75', '42+75=117']
Exploring Operation: 69+117=186, Resulting Numbers: [186]
186,39 unequal: No Solution
Exploring Operation: 69*117=8073, Resulting Numbers: [8073]
8073,39 unequal: No Solution
Exploring Operation: 117-69=48, Resulting Numbers: [48]
48,39 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 #0,2
Current State: 39:[42, 92, 52], Operations: ['69-17=52']
Exploring Operation: 52-42=10, Resulting Numbers: [92, 10]
Generated Node #0,2,0: 39:[92, 10] Operation: 52-42=10
Exploring Operation: 42+52=94, Resulting Numbers: [92, 94]
Generated Node #0,2,1: 39:[92, 94] Operation: 42+52=94
Exploring Operation: 42+92=134, Resulting Numbers: [52, 134]
Generated Node #0,2,2: 39:[52, 134] Operation: 42+92=134
Exploring Operation: 92-42=50, Resulting Numbers: [52, 50]
Generated Node #0,2,3: 39:[52, 50] Operation: 92-42=50
Exploring Operation: 92-52=40, Resulting Numbers: [42, 40]
Generated Node #0,2,4: 39:[42, 40] Operation: 92-52=40
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 39:[42, 40], Operations: ['69-17=52', '92-52=40']
Exploring Operation: 42+40=82, Resulting Numbers: [82]
82,39 unequal: No Solution
Exploring Operation: 42-40=2, Resulting Numbers: [2]
2,39 unequal: No Solution
Exploring Operation: 42*40=1680, Resulting Numbers: [1680]
1680,39 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: 39:[52, 50], Operations: ['69-17=52', '92-42=50']
Exploring Operation: 52+50=102, Resulting Numbers: [102]
102,39 unequal: No Solution
Exploring Operation: 52*50=2600, Resulting Numbers: [2600]
2600,39 unequal: No Solution
Exploring Operation: 52-50=2, Resulting Numbers: [2]
2,39 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: 39:[92, 10], Operations: ['69-17=52', '52-42=10']
Exploring Operation: 92+10=102, Resulting Numbers: [102]
102,39 unequal: No Solution
Exploring Operation: 92*10=920, Resulting Numbers: [920]
920,39 unequal: No Solution
Exploring Operation: 92-10=82, Resulting Numbers: [82]
82,39 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: 39:[92, 94], Operations: ['69-17=52', '42+52=94']
Exploring Operation: 94-92=2, Resulting Numbers: [2]
2,39 unequal: No Solution
Exploring Operation: 92+94=186, Resulting Numbers: [186]
186,39 unequal: No Solution
Exploring Operation: 92*94=8648, Resulting Numbers: [8648]
8648,39 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: 39:[52, 134], Operations: ['69-17=52', '42+92=134']
Exploring Operation: 134-52=82, Resulting Numbers: [82]
82,39 unequal: No Solution
Exploring Operation: 52*134=6968, Resulting Numbers: [6968]
6968,39 unequal: No Solution
Exploring Operation: 52+134=186, Resulting Numbers: [186]
186,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
62,
92,
16,
15
] | 18 | [
"92-62=30",
"30/15=2",
"16+2=18"
] | Current State: 18:[62, 92, 16, 15], Operations: []
Exploring Operation: 92-62=30, Resulting Numbers: [16, 15, 30]
Generated Node #2: [16, 15, 30] from Operation: 92-62=30
Current State: 18:[16, 15, 30], Operations: ['92-62=30']
Exploring Operation: 30/15=2, Resulting Numbers: [16, 2]
Generated Node #3: [16, 2] from Operation: 30/15=2
Current State: 18:[16, 2], Operations: ['92-62=30', '30/15=2']
Exploring Operation: 16+2=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[62, 92, 16, 15], Operations: []
Exploring Operation: 92-16=76, Resulting Numbers: [62, 15, 76]
Generated Node #0,0: 18:[62, 15, 76] Operation: 92-16=76
Exploring Operation: 92-62=30, Resulting Numbers: [16, 15, 30]
Generated Node #0,1: 18:[16, 15, 30] Operation: 92-62=30
Exploring Operation: 92-15=77, Resulting Numbers: [62, 16, 77]
Generated Node #0,2: 18:[62, 16, 77] Operation: 92-15=77
Exploring Operation: 62-15=47, Resulting Numbers: [92, 16, 47]
Generated Node #0,3: 18:[92, 16, 47] Operation: 62-15=47
Exploring Operation: 62-16=46, Resulting Numbers: [92, 15, 46]
Generated Node #0,4: 18:[92, 15, 46] Operation: 62-16=46
Start Sub Search at level 1: Moving to Node #0,1
Current State: 18:[16, 15, 30], Operations: ['92-62=30']
Exploring Operation: 30-16=14, Resulting Numbers: [15, 14]
Generated Node #0,1,0: 18:[15, 14] Operation: 30-16=14
Exploring Operation: 16+15=31, Resulting Numbers: [30, 31]
Generated Node #0,1,1: 18:[30, 31] Operation: 16+15=31
Exploring Operation: 30/15=2, Resulting Numbers: [16, 2]
Generated Node #0,1,2: 18:[16, 2] Operation: 30/15=2
Exploring Operation: 16-15=1, Resulting Numbers: [30, 1]
Generated Node #0,1,3: 18:[30, 1] Operation: 16-15=1
Exploring Operation: 30-15=15, Resulting Numbers: [16, 15]
Generated Node #0,1,4: 18:[16, 15] Operation: 30-15=15
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 18:[16, 2], Operations: ['92-62=30', '30/15=2']
Exploring Operation: 16/2=8, Resulting Numbers: [8]
8,18 unequal: No Solution
Exploring Operation: 16+2=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[62, 92, 16, 15], Operations: []
Exploring Operation: 92-62=30, Resulting Numbers: [16, 15, 30]
Generated Node #0,1: 18:[16, 15, 30] Operation: 92-62=30
Moving to Node #0,1
Current State: 18:[16, 15, 30], Operations: ['92-62=30']
Exploring Operation: 30/15=2, Resulting Numbers: [16, 2]
Generated Node #0,1,2: 18:[16, 2] Operation: 30/15=2
Moving to Node #0,1,2
Current State: 18:[16, 2], Operations: ['92-62=30', '30/15=2']
Exploring Operation: 16+2=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_5 | sum_heuristic |
[
98,
95,
48,
1
] | 50 | [
"98-95=3",
"48-1=47",
"3+47=50"
] | Current State: 50:[98, 95, 48, 1], Operations: []
Exploring Operation: 98-95=3, Resulting Numbers: [48, 1, 3]
Generated Node #2: [48, 1, 3] from Operation: 98-95=3
Current State: 50:[48, 1, 3], Operations: ['98-95=3']
Exploring Operation: 48-1=47, Resulting Numbers: [3, 47]
Generated Node #3: [3, 47] from Operation: 48-1=47
Current State: 50:[3, 47], Operations: ['98-95=3', '48-1=47']
Exploring Operation: 3+47=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[98, 95, 48, 1], Operations: []
Exploring Operation: 95-48=47, Resulting Numbers: [98, 1, 47]
Generated Node #0,0: 50:[98, 1, 47] Operation: 95-48=47
Exploring Operation: 98-48=50, Resulting Numbers: [95, 1, 50]
Generated Node #0,1: 50:[95, 1, 50] Operation: 98-48=50
Exploring Operation: 98-95=3, Resulting Numbers: [48, 1, 3]
Generated Node #0,2: 50:[48, 1, 3] Operation: 98-95=3
Start Sub Search at level 1: Moving to Node #0,2
Current State: 50:[48, 1, 3], Operations: ['98-95=3']
Exploring Operation: 3-1=2, Resulting Numbers: [48, 2]
Generated Node #0,2,0: 50:[48, 2] Operation: 3-1=2
Exploring Operation: 48+3=51, Resulting Numbers: [1, 51]
Generated Node #0,2,1: 50:[1, 51] Operation: 48+3=51
Exploring Operation: 48+1=49, Resulting Numbers: [3, 49]
Generated Node #0,2,2: 50:[3, 49] Operation: 48+1=49
Moving to Node #0,2,0
Current State: 50:[48, 2], Operations: ['98-95=3', '3-1=2']
Exploring Operation: 48/2=24, Resulting Numbers: [24]
24,50 unequal: No Solution
Exploring Operation: 48-2=46, Resulting Numbers: [46]
46,50 unequal: No Solution
Exploring Operation: 48+2=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Moving to Node #0
Current State: 50:[98, 95, 48, 1], Operations: []
Exploring Operation: 98-95=3, Resulting Numbers: [48, 1, 3]
Generated Node #0,2: 50:[48, 1, 3] Operation: 98-95=3
Moving to Node #0,2
Current State: 50:[48, 1, 3], Operations: ['98-95=3']
Exploring Operation: 3-1=2, Resulting Numbers: [48, 2]
Generated Node #0,2,0: 50:[48, 2] Operation: 3-1=2
Moving to Node #0,2,0
Current State: 50:[48, 2], Operations: ['98-95=3', '3-1=2']
Exploring Operation: 48+2=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_3 | mult_heuristic |
[
7,
42,
3,
53
] | 50 | [
"42/7=6",
"3+53=56",
"56-6=50"
] | Current State: 50:[7, 42, 3, 53], Operations: []
Exploring Operation: 42/7=6, Resulting Numbers: [3, 53, 6]
Generated Node #2: [3, 53, 6] from Operation: 42/7=6
Current State: 50:[3, 53, 6], Operations: ['42/7=6']
Exploring Operation: 3+53=56, Resulting Numbers: [6, 56]
Generated Node #3: [6, 56] from Operation: 3+53=56
Current State: 50:[6, 56], Operations: ['42/7=6', '3+53=56']
Exploring Operation: 56-6=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[7, 42, 3, 53], Operations: []
Exploring Operation: 7+42=49, Resulting Numbers: [3, 53, 49]
Generated Node #0,0: 50:[3, 53, 49] Operation: 7+42=49
Exploring Operation: 53-42=11, Resulting Numbers: [7, 3, 11]
Generated Node #0,1: 50:[7, 3, 11] Operation: 53-42=11
Start Sub Search at level 1: Moving to Node #0,1
Current State: 50:[7, 3, 11], Operations: ['53-42=11']
Exploring Operation: 7-3=4, Resulting Numbers: [11, 4]
Generated Node #0,1,0: 50:[11, 4] Operation: 7-3=4
Exploring Operation: 7+3=10, Resulting Numbers: [11, 10]
Generated Node #0,1,1: 50:[11, 10] Operation: 7+3=10
Moving to Node #0,1,1
Current State: 50:[11, 10], Operations: ['53-42=11', '7+3=10']
Exploring Operation: 11+10=21, Resulting Numbers: [21]
21,50 unequal: No Solution
Exploring Operation: 11-10=1, Resulting Numbers: [1]
1,50 unequal: No Solution
Moving to Node #0,1,0
Current State: 50:[11, 4], Operations: ['53-42=11', '7-3=4']
Exploring Operation: 11+4=15, Resulting Numbers: [15]
15,50 unequal: No Solution
Exploring Operation: 11-4=7, Resulting Numbers: [7]
7,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 50:[3, 53, 49], Operations: ['7+42=49']
Exploring Operation: 53-3=50, Resulting Numbers: [49, 50]
Generated Node #0,0,0: 50:[49, 50] Operation: 53-3=50
Exploring Operation: 53-49=4, Resulting Numbers: [3, 4]
Generated Node #0,0,1: 50:[3, 4] Operation: 53-49=4
Moving to Node #0,0,0
Current State: 50:[49, 50], Operations: ['7+42=49', '53-3=50']
Exploring Operation: 49+50=99, Resulting Numbers: [99]
99,50 unequal: No Solution
Exploring Operation: 50-49=1, Resulting Numbers: [1]
1,50 unequal: No Solution
Moving to Node #0,0,1
Current State: 50:[3, 4], Operations: ['7+42=49', '53-49=4']
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,50 unequal: No Solution
Exploring Operation: 3+4=7, Resulting Numbers: [7]
7,50 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 |
[
81,
82,
80,
39
] | 83 | [
"80-39=41",
"82/41=2",
"81+2=83"
] | Current State: 83:[81, 82, 80, 39], Operations: []
Exploring Operation: 80-39=41, Resulting Numbers: [81, 82, 41]
Generated Node #2: [81, 82, 41] from Operation: 80-39=41
Current State: 83:[81, 82, 41], Operations: ['80-39=41']
Exploring Operation: 82/41=2, Resulting Numbers: [81, 2]
Generated Node #3: [81, 2] from Operation: 82/41=2
Current State: 83:[81, 2], Operations: ['80-39=41', '82/41=2']
Exploring Operation: 81+2=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[81, 82, 80, 39], Operations: []
Exploring Operation: 80+39=119, Resulting Numbers: [81, 82, 119]
Generated Node #0,0: 83:[81, 82, 119] Operation: 80+39=119
Exploring Operation: 81+39=120, Resulting Numbers: [82, 80, 120]
Generated Node #0,1: 83:[82, 80, 120] Operation: 81+39=120
Moving to Node #0,0
Current State: 83:[81, 82, 119], Operations: ['80+39=119']
Exploring Operation: 119-82=37, Resulting Numbers: [81, 37]
Generated Node #0,0,0: 83:[81, 37] Operation: 119-82=37
Exploring Operation: 119-81=38, Resulting Numbers: [82, 38]
Generated Node #0,0,1: 83:[82, 38] Operation: 119-81=38
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 83:[82, 38], Operations: ['80+39=119', '119-81=38']
Exploring Operation: 82-38=44, Resulting Numbers: [44]
44,83 unequal: No Solution
Exploring Operation: 82+38=120, Resulting Numbers: [120]
120,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 83:[81, 37], Operations: ['80+39=119', '119-82=37']
Exploring Operation: 81+37=118, Resulting Numbers: [118]
118,83 unequal: No Solution
Exploring Operation: 81-37=44, Resulting Numbers: [44]
44,83 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:[82, 80, 120], Operations: ['81+39=120']
Exploring Operation: 120-80=40, Resulting Numbers: [82, 40]
Generated Node #0,1,0: 83:[82, 40] Operation: 120-80=40
Exploring Operation: 120-82=38, Resulting Numbers: [80, 38]
Generated Node #0,1,1: 83:[80, 38] Operation: 120-82=38
Moving to Node #0,1,0
Current State: 83:[82, 40], Operations: ['81+39=120', '120-80=40']
Exploring Operation: 82-40=42, Resulting Numbers: [42]
42,83 unequal: No Solution
Exploring Operation: 82+40=122, Resulting Numbers: [122]
122,83 unequal: No Solution
Moving to Node #0,1,1
Current State: 83:[80, 38], Operations: ['81+39=120', '120-82=38']
Exploring Operation: 80-38=42, Resulting Numbers: [42]
42,83 unequal: No Solution
Exploring Operation: 80+38=118, Resulting Numbers: [118]
118,83 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
34,
71,
79,
19
] | 23 | [
"71-34=37",
"79-19=60",
"60-37=23"
] | Current State: 23:[34, 71, 79, 19], Operations: []
Exploring Operation: 71-34=37, Resulting Numbers: [79, 19, 37]
Generated Node #2: [79, 19, 37] from Operation: 71-34=37
Current State: 23:[79, 19, 37], Operations: ['71-34=37']
Exploring Operation: 79-19=60, Resulting Numbers: [37, 60]
Generated Node #3: [37, 60] from Operation: 79-19=60
Current State: 23:[37, 60], Operations: ['71-34=37', '79-19=60']
Exploring Operation: 60-37=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[34, 71, 79, 19], Operations: []
Exploring Operation: 79-34=45, Resulting Numbers: [71, 19, 45]
Generated Node #0,0: 23:[71, 19, 45] Operation: 79-34=45
Exploring Operation: 71-34=37, Resulting Numbers: [79, 19, 37]
Generated Node #0,1: 23:[79, 19, 37] Operation: 71-34=37
Exploring Operation: 79-71=8, Resulting Numbers: [34, 19, 8]
Generated Node #0,2: 23:[34, 19, 8] Operation: 79-71=8
Start Sub Search at level 1: Moving to Node #0,2
Current State: 23:[34, 19, 8], Operations: ['79-71=8']
Exploring Operation: 19+8=27, Resulting Numbers: [34, 27]
Generated Node #0,2,0: 23:[34, 27] Operation: 19+8=27
Exploring Operation: 34-19=15, Resulting Numbers: [8, 15]
Generated Node #0,2,1: 23:[8, 15] Operation: 34-19=15
Exploring Operation: 34-8=26, Resulting Numbers: [19, 26]
Generated Node #0,2,2: 23:[19, 26] Operation: 34-8=26
Moving to Node #0,2,2
Current State: 23:[19, 26], Operations: ['79-71=8', '34-8=26']
Exploring Operation: 19*26=494, Resulting Numbers: [494]
494,23 unequal: No Solution
Exploring Operation: 26-19=7, Resulting Numbers: [7]
7,23 unequal: No Solution
Exploring Operation: 19+26=45, Resulting Numbers: [45]
45,23 unequal: No Solution
Moving to Node #0,2,0
Current State: 23:[34, 27], Operations: ['79-71=8', '19+8=27']
Exploring Operation: 34-27=7, Resulting Numbers: [7]
7,23 unequal: No Solution
Exploring Operation: 34*27=918, Resulting Numbers: [918]
918,23 unequal: No Solution
Exploring Operation: 34+27=61, Resulting Numbers: [61]
61,23 unequal: No Solution
Moving to Node #0,2,1
Current State: 23:[8, 15], Operations: ['79-71=8', '34-19=15']
Exploring Operation: 8*15=120, Resulting Numbers: [120]
120,23 unequal: No Solution
Exploring Operation: 8+15=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Moving to Node #0
Current State: 23:[34, 71, 79, 19], Operations: []
Exploring Operation: 79-71=8, Resulting Numbers: [34, 19, 8]
Generated Node #0,2: 23:[34, 19, 8] Operation: 79-71=8
Moving to Node #0,2
Current State: 23:[34, 19, 8], Operations: ['79-71=8']
Exploring Operation: 34-19=15, Resulting Numbers: [8, 15]
Generated Node #0,2,1: 23:[8, 15] Operation: 34-19=15
Moving to Node #0,2,1
Current State: 23:[8, 15], Operations: ['79-71=8', '34-19=15']
Exploring Operation: 8+15=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_3 | sum_heuristic |
[
4,
44,
7,
60
] | 71 | [
"60-44=16",
"4*16=64",
"7+64=71"
] | Current State: 71:[4, 44, 7, 60], Operations: []
Exploring Operation: 60-44=16, Resulting Numbers: [4, 7, 16]
Generated Node #2: [4, 7, 16] from Operation: 60-44=16
Current State: 71:[4, 7, 16], Operations: ['60-44=16']
Exploring Operation: 4*16=64, Resulting Numbers: [7, 64]
Generated Node #3: [7, 64] from Operation: 4*16=64
Current State: 71:[7, 64], Operations: ['60-44=16', '4*16=64']
Exploring Operation: 7+64=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[4, 44, 7, 60], Operations: []
Exploring Operation: 4+60=64, Resulting Numbers: [44, 7, 64]
Generated Node #0,0: 71:[44, 7, 64] Operation: 4+60=64
Exploring Operation: 4+7=11, Resulting Numbers: [44, 60, 11]
Generated Node #0,1: 71:[44, 60, 11] Operation: 4+7=11
Exploring Operation: 4*7=28, Resulting Numbers: [44, 60, 28]
Generated Node #0,2: 71:[44, 60, 28] Operation: 4*7=28
Exploring Operation: 4+44=48, Resulting Numbers: [7, 60, 48]
Generated Node #0,3: 71:[7, 60, 48] Operation: 4+44=48
Exploring Operation: 44+7=51, Resulting Numbers: [4, 60, 51]
Generated Node #0,4: 71:[4, 60, 51] Operation: 44+7=51
Start Sub Search at level 1: Moving to Node #0,2
Current State: 71:[44, 60, 28], Operations: ['4*7=28']
Exploring Operation: 60+28=88, Resulting Numbers: [44, 88]
Generated Node #0,2,0: 71:[44, 88] Operation: 60+28=88
Exploring Operation: 44+28=72, Resulting Numbers: [60, 72]
Generated Node #0,2,1: 71:[60, 72] Operation: 44+28=72
Exploring Operation: 60-28=32, Resulting Numbers: [44, 32]
Generated Node #0,2,2: 71:[44, 32] Operation: 60-28=32
Exploring Operation: 44-28=16, Resulting Numbers: [60, 16]
Generated Node #0,2,3: 71:[60, 16] Operation: 44-28=16
Exploring Operation: 44+60=104, Resulting Numbers: [28, 104]
Generated Node #0,2,4: 71:[28, 104] Operation: 44+60=104
Moving to Node #0,2,1
Current State: 71:[60, 72], Operations: ['4*7=28', '44+28=72']
Exploring Operation: 60*72=4320, Resulting Numbers: [4320]
4320,71 unequal: No Solution
Exploring Operation: 60+72=132, Resulting Numbers: [132]
132,71 unequal: No Solution
Exploring Operation: 72-60=12, Resulting Numbers: [12]
12,71 unequal: No Solution
Moving to Node #0,2,0
Current State: 71:[44, 88], Operations: ['4*7=28', '60+28=88']
Exploring Operation: 88-44=44, Resulting Numbers: [44]
44,71 unequal: No Solution
Exploring Operation: 88/44=2, Resulting Numbers: [2]
2,71 unequal: No Solution
Exploring Operation: 44+88=132, Resulting Numbers: [132]
132,71 unequal: No Solution
Exploring Operation: 44*88=3872, Resulting Numbers: [3872]
3872,71 unequal: No Solution
Moving to Node #0,2,2
Current State: 71:[44, 32], Operations: ['4*7=28', '60-28=32']
Exploring Operation: 44-32=12, Resulting Numbers: [12]
12,71 unequal: No Solution
Exploring Operation: 44*32=1408, Resulting Numbers: [1408]
1408,71 unequal: No Solution
Exploring Operation: 44+32=76, Resulting Numbers: [76]
76,71 unequal: No Solution
Moving to Node #0,2,3
Current State: 71:[60, 16], Operations: ['4*7=28', '44-28=16']
Exploring Operation: 60*16=960, Resulting Numbers: [960]
960,71 unequal: No Solution
Exploring Operation: 60+16=76, Resulting Numbers: [76]
76,71 unequal: No Solution
Exploring Operation: 60-16=44, Resulting Numbers: [44]
44,71 unequal: No Solution
Moving to Node #0,2,4
Current State: 71:[28, 104], Operations: ['4*7=28', '44+60=104']
Exploring Operation: 28+104=132, Resulting Numbers: [132]
132,71 unequal: No Solution
Exploring Operation: 28*104=2912, Resulting Numbers: [2912]
2912,71 unequal: No Solution
Exploring Operation: 104-28=76, Resulting Numbers: [76]
76,71 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
Current State: 71:[44, 7, 64], Operations: ['4+60=64']
Exploring Operation: 7+64=71, Resulting Numbers: [44, 71]
Generated Node #0,0,0: 71:[44, 71] Operation: 7+64=71
Exploring Operation: 64-7=57, Resulting Numbers: [44, 57]
Generated Node #0,0,1: 71:[44, 57] Operation: 64-7=57
Exploring Operation: 44-7=37, Resulting Numbers: [64, 37]
Generated Node #0,0,2: 71:[64, 37] Operation: 44-7=37
Exploring Operation: 44+64=108, Resulting Numbers: [7, 108]
Generated Node #0,0,3: 71:[7, 108] Operation: 44+64=108
Exploring Operation: 44+7=51, Resulting Numbers: [64, 51]
Generated Node #0,0,4: 71:[64, 51] Operation: 44+7=51
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 71:[44, 71], Operations: ['4+60=64', '7+64=71']
Exploring Operation: 44+71=115, Resulting Numbers: [115]
115,71 unequal: No Solution
Exploring Operation: 71-44=27, Resulting Numbers: [27]
27,71 unequal: No Solution
Exploring Operation: 44*71=3124, Resulting Numbers: [3124]
3124,71 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: 71:[64, 51], Operations: ['4+60=64', '44+7=51']
Exploring Operation: 64*51=3264, Resulting Numbers: [3264]
3264,71 unequal: No Solution
Exploring Operation: 64+51=115, Resulting Numbers: [115]
115,71 unequal: No Solution
Exploring Operation: 64-51=13, Resulting Numbers: [13]
13,71 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: 71:[44, 57], Operations: ['4+60=64', '64-7=57']
Exploring Operation: 44*57=2508, Resulting Numbers: [2508]
2508,71 unequal: No Solution
Exploring Operation: 44+57=101, Resulting Numbers: [101]
101,71 unequal: No Solution
Exploring Operation: 57-44=13, Resulting Numbers: [13]
13,71 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: 71:[64, 37], Operations: ['4+60=64', '44-7=37']
Exploring Operation: 64-37=27, Resulting Numbers: [27]
27,71 unequal: No Solution
Exploring Operation: 64+37=101, Resulting Numbers: [101]
101,71 unequal: No Solution
Exploring Operation: 64*37=2368, Resulting Numbers: [2368]
2368,71 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: 71:[7, 108], Operations: ['4+60=64', '44+64=108']
Exploring Operation: 108-7=101, Resulting Numbers: [101]
101,71 unequal: No Solution
Exploring Operation: 7+108=115, Resulting Numbers: [115]
115,71 unequal: No Solution
Exploring Operation: 7*108=756, Resulting Numbers: [756]
756,71 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: 71:[44, 60, 11], Operations: ['4+7=11']
Exploring Operation: 60+11=71, Resulting Numbers: [44, 71]
Generated Node #0,1,0: 71:[44, 71] Operation: 60+11=71
Exploring Operation: 44+11=55, Resulting Numbers: [60, 55]
Generated Node #0,1,1: 71:[60, 55] Operation: 44+11=55
Exploring Operation: 44-11=33, Resulting Numbers: [60, 33]
Generated Node #0,1,2: 71:[60, 33] Operation: 44-11=33
Exploring Operation: 60-11=49, Resulting Numbers: [44, 49]
Generated Node #0,1,3: 71:[44, 49] Operation: 60-11=49
Exploring Operation: 44/11=4, Resulting Numbers: [60, 4]
Generated Node #0,1,4: 71:[60, 4] Operation: 44/11=4
Moving to Node #0,1,0
Current State: 71:[44, 71], Operations: ['4+7=11', '60+11=71']
Exploring Operation: 71-44=27, Resulting Numbers: [27]
27,71 unequal: No Solution
Exploring Operation: 44*71=3124, Resulting Numbers: [3124]
3124,71 unequal: No Solution
Exploring Operation: 44+71=115, Resulting Numbers: [115]
115,71 unequal: No Solution
Moving to Node #0,1,1
Current State: 71:[60, 55], Operations: ['4+7=11', '44+11=55']
Exploring Operation: 60*55=3300, Resulting Numbers: [3300]
3300,71 unequal: No Solution
Exploring Operation: 60+55=115, Resulting Numbers: [115]
115,71 unequal: No Solution
Exploring Operation: 60-55=5, Resulting Numbers: [5]
5,71 unequal: No Solution
Moving to Node #0,1,2
Current State: 71:[60, 33], Operations: ['4+7=11', '44-11=33']
Exploring Operation: 60+33=93, Resulting Numbers: [93]
93,71 unequal: No Solution
Exploring Operation: 60-33=27, Resulting Numbers: [27]
27,71 unequal: No Solution
Exploring Operation: 60*33=1980, Resulting Numbers: [1980]
1980,71 unequal: No Solution
Moving to Node #0,1,3
Current State: 71:[44, 49], Operations: ['4+7=11', '60-11=49']
Exploring Operation: 44+49=93, Resulting Numbers: [93]
93,71 unequal: No Solution
Exploring Operation: 44*49=2156, Resulting Numbers: [2156]
2156,71 unequal: No Solution
Exploring Operation: 49-44=5, Resulting Numbers: [5]
5,71 unequal: No Solution
Moving to Node #0,1,4
Current State: 71:[60, 4], Operations: ['4+7=11', '44/11=4']
Exploring Operation: 60+4=64, Resulting Numbers: [64]
64,71 unequal: No Solution
Exploring Operation: 60-4=56, Resulting Numbers: [56]
56,71 unequal: No Solution
Exploring Operation: 60/4=15, Resulting Numbers: [15]
15,71 unequal: No Solution
Exploring Operation: 60*4=240, Resulting Numbers: [240]
240,71 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 #0,3
Current State: 71:[7, 60, 48], Operations: ['4+44=48']
Exploring Operation: 7+60=67, Resulting Numbers: [48, 67]
Generated Node #0,3,0: 71:[48, 67] Operation: 7+60=67
Exploring Operation: 60+48=108, Resulting Numbers: [7, 108]
Generated Node #0,3,1: 71:[7, 108] Operation: 60+48=108
Exploring Operation: 7+48=55, Resulting Numbers: [60, 55]
Generated Node #0,3,2: 71:[60, 55] Operation: 7+48=55
Exploring Operation: 60-7=53, Resulting Numbers: [48, 53]
Generated Node #0,3,3: 71:[48, 53] Operation: 60-7=53
Exploring Operation: 48-7=41, Resulting Numbers: [60, 41]
Generated Node #0,3,4: 71:[60, 41] Operation: 48-7=41
Moving to Node #0,3,0
Current State: 71:[48, 67], Operations: ['4+44=48', '7+60=67']
Exploring Operation: 48*67=3216, Resulting Numbers: [3216]
3216,71 unequal: No Solution
Exploring Operation: 67-48=19, Resulting Numbers: [19]
19,71 unequal: No Solution
Exploring Operation: 48+67=115, Resulting Numbers: [115]
115,71 unequal: No Solution
Moving to Node #0,3,2
Current State: 71:[60, 55], Operations: ['4+44=48', '7+48=55']
Exploring Operation: 60+55=115, Resulting Numbers: [115]
115,71 unequal: No Solution
Exploring Operation: 60*55=3300, Resulting Numbers: [3300]
3300,71 unequal: No Solution
Exploring Operation: 60-55=5, Resulting Numbers: [5]
5,71 unequal: No Solution
Moving to Node #0,3,3
Current State: 71:[48, 53], Operations: ['4+44=48', '60-7=53']
Exploring Operation: 48*53=2544, Resulting Numbers: [2544]
2544,71 unequal: No Solution
Exploring Operation: 48+53=101, Resulting Numbers: [101]
101,71 unequal: No Solution
Exploring Operation: 53-48=5, Resulting Numbers: [5]
5,71 unequal: No Solution
Moving to Node #0,3,4
Current State: 71:[60, 41], Operations: ['4+44=48', '48-7=41']
Exploring Operation: 60-41=19, Resulting Numbers: [19]
19,71 unequal: No Solution
Exploring Operation: 60*41=2460, Resulting Numbers: [2460]
2460,71 unequal: No Solution
Exploring Operation: 60+41=101, Resulting Numbers: [101]
101,71 unequal: No Solution
Moving to Node #0,3,1
Current State: 71:[7, 108], Operations: ['4+44=48', '60+48=108']
Exploring Operation: 7+108=115, Resulting Numbers: [115]
115,71 unequal: No Solution
Exploring Operation: 108-7=101, Resulting Numbers: [101]
101,71 unequal: No Solution
Exploring Operation: 7*108=756, Resulting Numbers: [756]
756,71 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
Current State: 71:[4, 60, 51], Operations: ['44+7=51']
Exploring Operation: 60/4=15, Resulting Numbers: [51, 15]
Generated Node #0,4,0: 71:[51, 15] Operation: 60/4=15
Exploring Operation: 60-4=56, Resulting Numbers: [51, 56]
Generated Node #0,4,1: 71:[51, 56] Operation: 60-4=56
Exploring Operation: 4+60=64, Resulting Numbers: [51, 64]
Generated Node #0,4,2: 71:[51, 64] Operation: 4+60=64
Exploring Operation: 51-4=47, Resulting Numbers: [60, 47]
Generated Node #0,4,3: 71:[60, 47] Operation: 51-4=47
Exploring Operation: 4+51=55, Resulting Numbers: [60, 55]
Generated Node #0,4,4: 71:[60, 55] Operation: 4+51=55
Moving to Node #0,4,2
Current State: 71:[51, 64], Operations: ['44+7=51', '4+60=64']
Exploring Operation: 64-51=13, Resulting Numbers: [13]
13,71 unequal: No Solution
Exploring Operation: 51*64=3264, Resulting Numbers: [3264]
3264,71 unequal: No Solution
Exploring Operation: 51+64=115, Resulting Numbers: [115]
115,71 unequal: No Solution
Moving to Node #0,4,4
Current State: 71:[60, 55], Operations: ['44+7=51', '4+51=55']
Exploring Operation: 60+55=115, Resulting Numbers: [115]
115,71 unequal: No Solution
Exploring Operation: 60*55=3300, Resulting Numbers: [3300]
3300,71 unequal: No Solution
Exploring Operation: 60-55=5, Resulting Numbers: [5]
5,71 unequal: No Solution
Moving to Node #0,4,1
Current State: 71:[51, 56], Operations: ['44+7=51', '60-4=56']
Exploring Operation: 56-51=5, Resulting Numbers: [5]
5,71 unequal: No Solution
Exploring Operation: 51+56=107, Resulting Numbers: [107]
107,71 unequal: No Solution
Exploring Operation: 51*56=2856, Resulting Numbers: [2856]
2856,71 unequal: No Solution
Moving to Node #0,4,3
Current State: 71:[60, 47], Operations: ['44+7=51', '51-4=47']
Exploring Operation: 60-47=13, Resulting Numbers: [13]
13,71 unequal: No Solution
Exploring Operation: 60*47=2820, Resulting Numbers: [2820]
2820,71 unequal: No Solution
Exploring Operation: 60+47=107, Resulting Numbers: [107]
107,71 unequal: No Solution
Moving to Node #0,4,0
Current State: 71:[51, 15], Operations: ['44+7=51', '60/4=15']
Exploring Operation: 51*15=765, Resulting Numbers: [765]
765,71 unequal: No Solution
Exploring Operation: 51+15=66, Resulting Numbers: [66]
66,71 unequal: No Solution
Exploring Operation: 51-15=36, Resulting Numbers: [36]
36,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
43,
85,
10,
22
] | 96 | [
"43+85=128",
"10+22=32",
"128-32=96"
] | Current State: 96:[43, 85, 10, 22], Operations: []
Exploring Operation: 43+85=128, Resulting Numbers: [10, 22, 128]
Generated Node #2: [10, 22, 128] from Operation: 43+85=128
Current State: 96:[10, 22, 128], Operations: ['43+85=128']
Exploring Operation: 10+22=32, Resulting Numbers: [128, 32]
Generated Node #3: [128, 32] from Operation: 10+22=32
Current State: 96:[128, 32], Operations: ['43+85=128', '10+22=32']
Exploring Operation: 128-32=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[43, 85, 10, 22], Operations: []
Exploring Operation: 85-43=42, Resulting Numbers: [10, 22, 42]
Generated Node #0,0: 96:[10, 22, 42] Operation: 85-43=42
Exploring Operation: 43-22=21, Resulting Numbers: [85, 10, 21]
Generated Node #0,1: 96:[85, 10, 21] Operation: 43-22=21
Exploring Operation: 85+10=95, Resulting Numbers: [43, 22, 95]
Generated Node #0,2: 96:[43, 22, 95] Operation: 85+10=95
Exploring Operation: 43-10=33, Resulting Numbers: [85, 22, 33]
Generated Node #0,3: 96:[85, 22, 33] Operation: 43-10=33
Exploring Operation: 10+22=32, Resulting Numbers: [43, 85, 32]
Generated Node #0,4: 96:[43, 85, 32] Operation: 10+22=32
Start Sub Search at level 1: Moving to Node #0,2
Current State: 96:[43, 22, 95], Operations: ['85+10=95']
Exploring Operation: 95-22=73, Resulting Numbers: [43, 73]
Generated Node #0,2,0: 96:[43, 73] Operation: 95-22=73
Exploring Operation: 95-43=52, Resulting Numbers: [22, 52]
Generated Node #0,2,1: 96:[22, 52] Operation: 95-43=52
Exploring Operation: 43-22=21, Resulting Numbers: [95, 21]
Generated Node #0,2,2: 96:[95, 21] Operation: 43-22=21
Exploring Operation: 22+95=117, Resulting Numbers: [43, 117]
Generated Node #0,2,3: 96:[43, 117] Operation: 22+95=117
Exploring Operation: 43+22=65, Resulting Numbers: [95, 65]
Generated Node #0,2,4: 96:[95, 65] Operation: 43+22=65
Moving to Node #0,2,2
Current State: 96:[95, 21], Operations: ['85+10=95', '43-22=21']
Exploring Operation: 95*21=1995, Resulting Numbers: [1995]
1995,96 unequal: No Solution
Exploring Operation: 95+21=116, Resulting Numbers: [116]
116,96 unequal: No Solution
Exploring Operation: 95-21=74, Resulting Numbers: [74]
74,96 unequal: No Solution
Moving to Node #0,2,1
Current State: 96:[22, 52], Operations: ['85+10=95', '95-43=52']
Exploring Operation: 22*52=1144, Resulting Numbers: [1144]
1144,96 unequal: No Solution
Exploring Operation: 22+52=74, Resulting Numbers: [74]
74,96 unequal: No Solution
Exploring Operation: 52-22=30, Resulting Numbers: [30]
30,96 unequal: No Solution
Moving to Node #0,2,4
Current State: 96:[95, 65], Operations: ['85+10=95', '43+22=65']
Exploring Operation: 95-65=30, Resulting Numbers: [30]
30,96 unequal: No Solution
Exploring Operation: 95*65=6175, Resulting Numbers: [6175]
6175,96 unequal: No Solution
Exploring Operation: 95+65=160, Resulting Numbers: [160]
160,96 unequal: No Solution
Moving to Node #0,2,3
Current State: 96:[43, 117], Operations: ['85+10=95', '22+95=117']
Exploring Operation: 43*117=5031, Resulting Numbers: [5031]
5031,96 unequal: No Solution
Exploring Operation: 43+117=160, Resulting Numbers: [160]
160,96 unequal: No Solution
Exploring Operation: 117-43=74, Resulting Numbers: [74]
74,96 unequal: No Solution
Moving to Node #0,2,0
Current State: 96:[43, 73], Operations: ['85+10=95', '95-22=73']
Exploring Operation: 43*73=3139, Resulting Numbers: [3139]
3139,96 unequal: No Solution
Exploring Operation: 43+73=116, Resulting Numbers: [116]
116,96 unequal: No Solution
Exploring Operation: 73-43=30, Resulting Numbers: [30]
30,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 96:[10, 22, 42], Operations: ['85-43=42']
Exploring Operation: 10+42=52, Resulting Numbers: [22, 52]
Generated Node #0,0,0: 96:[22, 52] Operation: 10+42=52
Exploring Operation: 10+22=32, Resulting Numbers: [42, 32]
Generated Node #0,0,1: 96:[42, 32] Operation: 10+22=32
Exploring Operation: 42-10=32, Resulting Numbers: [22, 32]
Generated Node #0,0,2: 96:[22, 32] Operation: 42-10=32
Exploring Operation: 22-10=12, Resulting Numbers: [42, 12]
Generated Node #0,0,3: 96:[42, 12] Operation: 22-10=12
Exploring Operation: 42-22=20, Resulting Numbers: [10, 20]
Generated Node #0,0,4: 96:[10, 20] Operation: 42-22=20
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 96:[22, 32], Operations: ['85-43=42', '42-10=32']
Exploring Operation: 22*32=704, Resulting Numbers: [704]
704,96 unequal: No Solution
Exploring Operation: 32-22=10, Resulting Numbers: [10]
10,96 unequal: No Solution
Exploring Operation: 22+32=54, Resulting Numbers: [54]
54,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 96:[22, 52], Operations: ['85-43=42', '10+42=52']
Exploring Operation: 22*52=1144, Resulting Numbers: [1144]
1144,96 unequal: No Solution
Exploring Operation: 52-22=30, Resulting Numbers: [30]
30,96 unequal: No Solution
Exploring Operation: 22+52=74, Resulting Numbers: [74]
74,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 96:[42, 32], Operations: ['85-43=42', '10+22=32']
Exploring Operation: 42-32=10, Resulting Numbers: [10]
10,96 unequal: No Solution
Exploring Operation: 42+32=74, Resulting Numbers: [74]
74,96 unequal: No Solution
Exploring Operation: 42*32=1344, Resulting Numbers: [1344]
1344,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 96:[42, 12], Operations: ['85-43=42', '22-10=12']
Exploring Operation: 42-12=30, Resulting Numbers: [30]
30,96 unequal: No Solution
Exploring Operation: 42+12=54, Resulting Numbers: [54]
54,96 unequal: No Solution
Exploring Operation: 42*12=504, Resulting Numbers: [504]
504,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 96:[10, 20], Operations: ['85-43=42', '42-22=20']
Exploring Operation: 10+20=30, Resulting Numbers: [30]
30,96 unequal: No Solution
Exploring Operation: 20/10=2, Resulting Numbers: [2]
2,96 unequal: No Solution
Exploring Operation: 10*20=200, Resulting Numbers: [200]
200,96 unequal: No Solution
Exploring Operation: 20-10=10, Resulting Numbers: [10]
10,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 96:[85, 22, 33], Operations: ['43-10=33']
Exploring Operation: 22+33=55, Resulting Numbers: [85, 55]
Generated Node #0,3,0: 96:[85, 55] Operation: 22+33=55
Exploring Operation: 85+22=107, Resulting Numbers: [33, 107]
Generated Node #0,3,1: 96:[33, 107] Operation: 85+22=107
Exploring Operation: 33-22=11, Resulting Numbers: [85, 11]
Generated Node #0,3,2: 96:[85, 11] Operation: 33-22=11
Exploring Operation: 85-22=63, Resulting Numbers: [33, 63]
Generated Node #0,3,3: 96:[33, 63] Operation: 85-22=63
Exploring Operation: 85-33=52, Resulting Numbers: [22, 52]
Generated Node #0,3,4: 96:[22, 52] Operation: 85-33=52
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 96:[22, 52], Operations: ['43-10=33', '85-33=52']
Exploring Operation: 22+52=74, Resulting Numbers: [74]
74,96 unequal: No Solution
Exploring Operation: 22*52=1144, Resulting Numbers: [1144]
1144,96 unequal: No Solution
Exploring Operation: 52-22=30, Resulting Numbers: [30]
30,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 96:[33, 107], Operations: ['43-10=33', '85+22=107']
Exploring Operation: 33*107=3531, Resulting Numbers: [3531]
3531,96 unequal: No Solution
Exploring Operation: 107-33=74, Resulting Numbers: [74]
74,96 unequal: No Solution
Exploring Operation: 33+107=140, Resulting Numbers: [140]
140,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 96:[85, 11], Operations: ['43-10=33', '33-22=11']
Exploring Operation: 85-11=74, Resulting Numbers: [74]
74,96 unequal: No Solution
Exploring Operation: 85*11=935, Resulting Numbers: [935]
935,96 unequal: No Solution
Exploring Operation: 85+11=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Moving to Node #0
Current State: 96:[43, 85, 10, 22], Operations: []
Exploring Operation: 43-10=33, Resulting Numbers: [85, 22, 33]
Generated Node #0,3: 96:[85, 22, 33] Operation: 43-10=33
Moving to Node #0,3
Current State: 96:[85, 22, 33], Operations: ['43-10=33']
Exploring Operation: 33-22=11, Resulting Numbers: [85, 11]
Generated Node #0,3,2: 96:[85, 11] Operation: 33-22=11
Moving to Node #0,3,2
Current State: 96:[85, 11], Operations: ['43-10=33', '33-22=11']
Exploring Operation: 85+11=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.944444 | hs_5 | mult_heuristic |
[
13,
96,
98,
4
] | 34 | [
"13+4=17",
"98-96=2",
"17*2=34"
] | Current State: 34:[13, 96, 98, 4], Operations: []
Exploring Operation: 13+4=17, Resulting Numbers: [96, 98, 17]
Generated Node #2: [96, 98, 17] from Operation: 13+4=17
Current State: 34:[96, 98, 17], Operations: ['13+4=17']
Exploring Operation: 98-96=2, Resulting Numbers: [17, 2]
Generated Node #3: [17, 2] from Operation: 98-96=2
Current State: 34:[17, 2], Operations: ['13+4=17', '98-96=2']
Exploring Operation: 17*2=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[13, 96, 98, 4], Operations: []
Exploring Operation: 96-13=83, Resulting Numbers: [98, 4, 83]
Generated Node #0,0: 34:[98, 4, 83] Operation: 96-13=83
Exploring Operation: 96/4=24, Resulting Numbers: [13, 98, 24]
Generated Node #0,1: 34:[13, 98, 24] Operation: 96/4=24
Exploring Operation: 13+4=17, Resulting Numbers: [96, 98, 17]
Generated Node #0,2: 34:[96, 98, 17] Operation: 13+4=17
Exploring Operation: 98-96=2, Resulting Numbers: [13, 4, 2]
Generated Node #0,3: 34:[13, 4, 2] Operation: 98-96=2
Exploring Operation: 98-13=85, Resulting Numbers: [96, 4, 85]
Generated Node #0,4: 34:[96, 4, 85] Operation: 98-13=85
Moving to Node #0,3
Current State: 34:[13, 4, 2], Operations: ['98-96=2']
Exploring Operation: 4/2=2, Resulting Numbers: [13, 2]
Generated Node #0,3,0: 34:[13, 2] Operation: 4/2=2
Exploring Operation: 4-2=2, Resulting Numbers: [13, 2]
Generated Node #0,3,1: 34:[13, 2] Operation: 4-2=2
Exploring Operation: 13-4=9, Resulting Numbers: [2, 9]
Generated Node #0,3,2: 34:[2, 9] Operation: 13-4=9
Exploring Operation: 13+4=17, Resulting Numbers: [2, 17]
Generated Node #0,3,3: 34:[2, 17] Operation: 13+4=17
Exploring Operation: 13+2=15, Resulting Numbers: [4, 15]
Generated Node #0,3,4: 34:[4, 15] Operation: 13+2=15
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 34:[2, 17], Operations: ['98-96=2', '13+4=17']
Exploring Operation: 17-2=15, Resulting Numbers: [15]
15,34 unequal: No Solution
Exploring Operation: 2*17=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Moving to Node #0
Current State: 34:[13, 96, 98, 4], Operations: []
Exploring Operation: 98-96=2, Resulting Numbers: [13, 4, 2]
Generated Node #0,3: 34:[13, 4, 2] Operation: 98-96=2
Moving to Node #0,3
Current State: 34:[13, 4, 2], Operations: ['98-96=2']
Exploring Operation: 13+4=17, Resulting Numbers: [2, 17]
Generated Node #0,3,3: 34:[2, 17] Operation: 13+4=17
Moving to Node #0,3,3
Current State: 34:[2, 17], Operations: ['98-96=2', '13+4=17']
Exploring Operation: 2*17=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | sum_heuristic |
[
44,
79,
44,
59
] | 79 | [
"44-44=0",
"59*0=0",
"79+0=79"
] | Current State: 79:[44, 79, 44, 59], Operations: []
Exploring Operation: 44-44=0, Resulting Numbers: [79, 59, 0]
Generated Node #2: [79, 59, 0] from Operation: 44-44=0
Current State: 79:[79, 59, 0], Operations: ['44-44=0']
Exploring Operation: 59*0=0, Resulting Numbers: [79, 0]
Generated Node #3: [79, 0] from Operation: 59*0=0
Current State: 79:[79, 0], Operations: ['44-44=0', '59*0=0']
Exploring Operation: 79+0=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[44, 79, 44, 59], Operations: []
Exploring Operation: 44+44=88, Resulting Numbers: [79, 59, 88]
Generated Node #0,0: 79:[79, 59, 88] Operation: 44+44=88
Start Sub Search at level 1: Moving to Node #0,0
Current State: 79:[79, 59, 88], Operations: ['44+44=88']
Exploring Operation: 88-59=29, Resulting Numbers: [79, 29]
Generated Node #0,0,0: 79:[79, 29] Operation: 88-59=29
Moving to Node #0,0,0
Current State: 79:[79, 29], Operations: ['44+44=88', '88-59=29']
Exploring Operation: 79+29=108, Resulting Numbers: [108]
108,79 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 |
[
86,
6,
72,
69
] | 96 | [
"86+6=92",
"72*92=6624",
"6624/69=96"
] | Current State: 96:[86, 6, 72, 69], Operations: []
Exploring Operation: 86+6=92, Resulting Numbers: [72, 69, 92]
Generated Node #2: [72, 69, 92] from Operation: 86+6=92
Current State: 96:[72, 69, 92], Operations: ['86+6=92']
Exploring Operation: 72*92=6624, Resulting Numbers: [69, 6624]
Generated Node #3: [69, 6624] from Operation: 72*92=6624
Current State: 96:[69, 6624], Operations: ['86+6=92', '72*92=6624']
Exploring Operation: 6624/69=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[86, 6, 72, 69], Operations: []
Exploring Operation: 72-69=3, Resulting Numbers: [86, 6, 3]
Generated Node #0,0: 96:[86, 6, 3] Operation: 72-69=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 96:[86, 6, 3], Operations: ['72-69=3']
Exploring Operation: 86+6=92, Resulting Numbers: [3, 92]
Generated Node #0,0,0: 96:[3, 92] Operation: 86+6=92
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 96:[3, 92], Operations: ['72-69=3', '86+6=92']
Exploring Operation: 3+92=95, Resulting Numbers: [95]
95,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
9,
71,
16,
17
] | 95 | [
"71-9=62",
"16+17=33",
"62+33=95"
] | Current State: 95:[9, 71, 16, 17], Operations: []
Exploring Operation: 71-9=62, Resulting Numbers: [16, 17, 62]
Generated Node #2: [16, 17, 62] from Operation: 71-9=62
Current State: 95:[16, 17, 62], Operations: ['71-9=62']
Exploring Operation: 16+17=33, Resulting Numbers: [62, 33]
Generated Node #3: [62, 33] from Operation: 16+17=33
Current State: 95:[62, 33], Operations: ['71-9=62', '16+17=33']
Exploring Operation: 62+33=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[9, 71, 16, 17], Operations: []
Exploring Operation: 71+16=87, Resulting Numbers: [9, 17, 87]
Generated Node #0,0: 95:[9, 17, 87] Operation: 71+16=87
Exploring Operation: 16-9=7, Resulting Numbers: [71, 17, 7]
Generated Node #0,1: 95:[71, 17, 7] Operation: 16-9=7
Exploring Operation: 9+71=80, Resulting Numbers: [16, 17, 80]
Generated Node #0,2: 95:[16, 17, 80] Operation: 9+71=80
Exploring Operation: 71+17=88, Resulting Numbers: [9, 16, 88]
Generated Node #0,3: 95:[9, 16, 88] Operation: 71+17=88
Moving to Node #0,0
Current State: 95:[9, 17, 87], Operations: ['71+16=87']
Exploring Operation: 17-9=8, Resulting Numbers: [87, 8]
Generated Node #0,0,0: 95:[87, 8] Operation: 17-9=8
Exploring Operation: 9+17=26, Resulting Numbers: [87, 26]
Generated Node #0,0,1: 95:[87, 26] Operation: 9+17=26
Exploring Operation: 17+87=104, Resulting Numbers: [9, 104]
Generated Node #0,0,2: 95:[9, 104] Operation: 17+87=104
Exploring Operation: 9+87=96, Resulting Numbers: [17, 96]
Generated Node #0,0,3: 95:[17, 96] Operation: 9+87=96
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 95:[17, 96], Operations: ['71+16=87', '9+87=96']
Exploring Operation: 17*96=1632, Resulting Numbers: [1632]
1632,95 unequal: No Solution
Exploring Operation: 96-17=79, Resulting Numbers: [79]
79,95 unequal: No Solution
Exploring Operation: 17+96=113, Resulting Numbers: [113]
113,95 unequal: No Solution
No 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: 95:[87, 8], Operations: ['71+16=87', '17-9=8']
Exploring Operation: 87-8=79, Resulting Numbers: [79]
79,95 unequal: No Solution
Exploring Operation: 87*8=696, Resulting Numbers: [696]
696,95 unequal: No Solution
Exploring Operation: 87+8=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Moving to Node #0
Current State: 95:[9, 71, 16, 17], Operations: []
Exploring Operation: 71+16=87, Resulting Numbers: [9, 17, 87]
Generated Node #0,0: 95:[9, 17, 87] Operation: 71+16=87
Moving to Node #0,0
Current State: 95:[9, 17, 87], Operations: ['71+16=87']
Exploring Operation: 17-9=8, Resulting Numbers: [87, 8]
Generated Node #0,0,0: 95:[87, 8] Operation: 17-9=8
Moving to Node #0,0,0
Current State: 95:[87, 8], Operations: ['71+16=87', '17-9=8']
Exploring Operation: 87+8=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_4 | sum_heuristic |
[
50,
84,
35,
32
] | 31 | [
"84-50=34",
"35-32=3",
"34-3=31"
] | Current State: 31:[50, 84, 35, 32], Operations: []
Exploring Operation: 84-50=34, Resulting Numbers: [35, 32, 34]
Generated Node #2: [35, 32, 34] from Operation: 84-50=34
Current State: 31:[35, 32, 34], Operations: ['84-50=34']
Exploring Operation: 35-32=3, Resulting Numbers: [34, 3]
Generated Node #3: [34, 3] from Operation: 35-32=3
Current State: 31:[34, 3], Operations: ['84-50=34', '35-32=3']
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[50, 84, 35, 32], Operations: []
Exploring Operation: 84-50=34, Resulting Numbers: [35, 32, 34]
Generated Node #0,0: 31:[35, 32, 34] Operation: 84-50=34
Exploring Operation: 84-35=49, Resulting Numbers: [50, 32, 49]
Generated Node #0,1: 31:[50, 32, 49] Operation: 84-35=49
Start Sub Search at level 1: Moving to Node #0,0
Current State: 31:[35, 32, 34], Operations: ['84-50=34']
Exploring Operation: 35-32=3, Resulting Numbers: [34, 3]
Generated Node #0,0,0: 31:[34, 3] Operation: 35-32=3
Exploring Operation: 35-34=1, Resulting Numbers: [32, 1]
Generated Node #0,0,1: 31:[32, 1] Operation: 35-34=1
Moving to Node #0,0,0
Current State: 31:[34, 3], Operations: ['84-50=34', '35-32=3']
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Moving to Node #0
Current State: 31:[50, 84, 35, 32], Operations: []
Exploring Operation: 84-50=34, Resulting Numbers: [35, 32, 34]
Generated Node #0,0: 31:[35, 32, 34] Operation: 84-50=34
Moving to Node #0,0
Current State: 31:[35, 32, 34], Operations: ['84-50=34']
Exploring Operation: 35-32=3, Resulting Numbers: [34, 3]
Generated Node #0,0,0: 31:[34, 3] Operation: 35-32=3
Moving to Node #0,0,0
Current State: 31:[34, 3], Operations: ['84-50=34', '35-32=3']
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
72,
20,
9,
33
] | 60 | [
"72*20=1440",
"33-9=24",
"1440/24=60"
] | Current State: 60:[72, 20, 9, 33], Operations: []
Exploring Operation: 72*20=1440, Resulting Numbers: [9, 33, 1440]
Generated Node #2: [9, 33, 1440] from Operation: 72*20=1440
Current State: 60:[9, 33, 1440], Operations: ['72*20=1440']
Exploring Operation: 33-9=24, Resulting Numbers: [1440, 24]
Generated Node #3: [1440, 24] from Operation: 33-9=24
Current State: 60:[1440, 24], Operations: ['72*20=1440', '33-9=24']
Exploring Operation: 1440/24=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[72, 20, 9, 33], Operations: []
Exploring Operation: 72/9=8, Resulting Numbers: [20, 33, 8]
Generated Node #0,0: 60:[20, 33, 8] Operation: 72/9=8
Exploring Operation: 72-9=63, Resulting Numbers: [20, 33, 63]
Generated Node #0,1: 60:[20, 33, 63] Operation: 72-9=63
Start Sub Search at level 1: Moving to Node #0,0
Current State: 60:[20, 33, 8], Operations: ['72/9=8']
Exploring Operation: 33-20=13, Resulting Numbers: [8, 13]
Generated Node #0,0,0: 60:[8, 13] Operation: 33-20=13
Exploring Operation: 20-8=12, Resulting Numbers: [33, 12]
Generated Node #0,0,1: 60:[33, 12] Operation: 20-8=12
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 60:[8, 13], Operations: ['72/9=8', '33-20=13']
Exploring Operation: 8+13=21, Resulting Numbers: [21]
21,60 unequal: No Solution
Exploring Operation: 13-8=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 #0,0,1
Current State: 60:[33, 12], Operations: ['72/9=8', '20-8=12']
Exploring Operation: 33-12=21, Resulting Numbers: [21]
21,60 unequal: No Solution
Exploring Operation: 33+12=45, Resulting Numbers: [45]
45,60 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 #0,1
Current State: 60:[20, 33, 63], Operations: ['72-9=63']
Exploring Operation: 33-20=13, Resulting Numbers: [63, 13]
Generated Node #0,1,0: 60:[63, 13] Operation: 33-20=13
Exploring Operation: 63-33=30, Resulting Numbers: [20, 30]
Generated Node #0,1,1: 60:[20, 30] Operation: 63-33=30
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 60:[20, 30], Operations: ['72-9=63', '63-33=30']
Exploring Operation: 20+30=50, Resulting Numbers: [50]
50,60 unequal: No Solution
Exploring Operation: 30-20=10, Resulting Numbers: [10]
10,60 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:[63, 13], Operations: ['72-9=63', '33-20=13']
Exploring Operation: 63-13=50, Resulting Numbers: [50]
50,60 unequal: No Solution
Exploring Operation: 63+13=76, Resulting Numbers: [76]
76,60 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 |
[
99,
71,
11,
43
] | 60 | [
"99-71=28",
"43-11=32",
"28+32=60"
] | Current State: 60:[99, 71, 11, 43], Operations: []
Exploring Operation: 99-71=28, Resulting Numbers: [11, 43, 28]
Generated Node #2: [11, 43, 28] from Operation: 99-71=28
Current State: 60:[11, 43, 28], Operations: ['99-71=28']
Exploring Operation: 43-11=32, Resulting Numbers: [28, 32]
Generated Node #3: [28, 32] from Operation: 43-11=32
Current State: 60:[28, 32], Operations: ['99-71=28', '43-11=32']
Exploring Operation: 28+32=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[99, 71, 11, 43], Operations: []
Exploring Operation: 99-71=28, Resulting Numbers: [11, 43, 28]
Generated Node #0,0: 60:[11, 43, 28] Operation: 99-71=28
Exploring Operation: 99-43=56, Resulting Numbers: [71, 11, 56]
Generated Node #0,1: 60:[71, 11, 56] Operation: 99-43=56
Moving to Node #0,0
Current State: 60:[11, 43, 28], Operations: ['99-71=28']
Exploring Operation: 43-11=32, Resulting Numbers: [28, 32]
Generated Node #0,0,0: 60:[28, 32] Operation: 43-11=32
Exploring Operation: 43-28=15, Resulting Numbers: [11, 15]
Generated Node #0,0,1: 60:[11, 15] Operation: 43-28=15
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 60:[11, 15], Operations: ['99-71=28', '43-28=15']
Exploring Operation: 11+15=26, Resulting Numbers: [26]
26,60 unequal: No Solution
Exploring Operation: 15-11=4, Resulting Numbers: [4]
4,60 unequal: No Solution
No 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: 60:[28, 32], Operations: ['99-71=28', '43-11=32']
Exploring Operation: 28+32=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Moving to Node #0
Current State: 60:[99, 71, 11, 43], Operations: []
Exploring Operation: 99-71=28, Resulting Numbers: [11, 43, 28]
Generated Node #0,0: 60:[11, 43, 28] Operation: 99-71=28
Moving to Node #0,0
Current State: 60:[11, 43, 28], Operations: ['99-71=28']
Exploring Operation: 43-11=32, Resulting Numbers: [28, 32]
Generated Node #0,0,0: 60:[28, 32] Operation: 43-11=32
Moving to Node #0,0,0
Current State: 60:[28, 32], Operations: ['99-71=28', '43-11=32']
Exploring Operation: 28+32=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_2 | sum_heuristic |
[
38,
61,
5,
53
] | 25 | [
"61-38=23",
"53-5=48",
"48-23=25"
] | Current State: 25:[38, 61, 5, 53], Operations: []
Exploring Operation: 61-38=23, Resulting Numbers: [5, 53, 23]
Generated Node #2: [5, 53, 23] from Operation: 61-38=23
Current State: 25:[5, 53, 23], Operations: ['61-38=23']
Exploring Operation: 53-5=48, Resulting Numbers: [23, 48]
Generated Node #3: [23, 48] from Operation: 53-5=48
Current State: 25:[23, 48], Operations: ['61-38=23', '53-5=48']
Exploring Operation: 48-23=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[38, 61, 5, 53], Operations: []
Exploring Operation: 61-38=23, Resulting Numbers: [5, 53, 23]
Generated Node #0,0: 25:[5, 53, 23] Operation: 61-38=23
Exploring Operation: 61-53=8, Resulting Numbers: [38, 5, 8]
Generated Node #0,1: 25:[38, 5, 8] Operation: 61-53=8
Moving to Node #0,1
Current State: 25:[38, 5, 8], Operations: ['61-53=8']
Exploring Operation: 38-8=30, Resulting Numbers: [5, 30]
Generated Node #0,1,0: 25:[5, 30] Operation: 38-8=30
Exploring Operation: 38-5=33, Resulting Numbers: [8, 33]
Generated Node #0,1,1: 25:[8, 33] Operation: 38-5=33
Moving to Node #0,0
Current State: 25:[5, 53, 23], Operations: ['61-38=23']
Exploring Operation: 53-23=30, Resulting Numbers: [5, 30]
Generated Node #0,0,0: 25:[5, 30] Operation: 53-23=30
Exploring Operation: 53-5=48, Resulting Numbers: [23, 48]
Generated Node #0,0,1: 25:[23, 48] Operation: 53-5=48
Moving to Node #0,1,0
Current State: 25:[5, 30], Operations: ['61-53=8', '38-8=30']
Exploring Operation: 30-5=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Moving to Node #0
Current State: 25:[38, 61, 5, 53], Operations: []
Exploring Operation: 61-53=8, Resulting Numbers: [38, 5, 8]
Generated Node #0,1: 25:[38, 5, 8] Operation: 61-53=8
Moving to Node #0,1
Current State: 25:[38, 5, 8], Operations: ['61-53=8']
Exploring Operation: 38-8=30, Resulting Numbers: [5, 30]
Generated Node #0,1,0: 25:[5, 30] Operation: 38-8=30
Moving to Node #0,1,0
Current State: 25:[5, 30], Operations: ['61-53=8', '38-8=30']
Exploring Operation: 30-5=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 0.990451 | hs_2 | sum_heuristic |
[
72,
81,
97,
27
] | 22 | [
"97-72=25",
"81/27=3",
"25-3=22"
] | Current State: 22:[72, 81, 97, 27], Operations: []
Exploring Operation: 97-72=25, Resulting Numbers: [81, 27, 25]
Generated Node #2: [81, 27, 25] from Operation: 97-72=25
Current State: 22:[81, 27, 25], Operations: ['97-72=25']
Exploring Operation: 81/27=3, Resulting Numbers: [25, 3]
Generated Node #3: [25, 3] from Operation: 81/27=3
Current State: 22:[25, 3], Operations: ['97-72=25', '81/27=3']
Exploring Operation: 25-3=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[72, 81, 97, 27], Operations: []
Exploring Operation: 97-72=25, Resulting Numbers: [81, 27, 25]
Generated Node #0,0: 22:[81, 27, 25] Operation: 97-72=25
Exploring Operation: 81/27=3, Resulting Numbers: [72, 97, 3]
Generated Node #0,1: 22:[72, 97, 3] Operation: 81/27=3
Exploring Operation: 81-72=9, Resulting Numbers: [97, 27, 9]
Generated Node #0,2: 22:[97, 27, 9] Operation: 81-72=9
Exploring Operation: 97-81=16, Resulting Numbers: [72, 27, 16]
Generated Node #0,3: 22:[72, 27, 16] Operation: 97-81=16
Moving to Node #0,3
Current State: 22:[72, 27, 16], Operations: ['97-81=16']
Exploring Operation: 72+16=88, Resulting Numbers: [27, 88]
Generated Node #0,3,0: 22:[27, 88] Operation: 72+16=88
Exploring Operation: 72-16=56, Resulting Numbers: [27, 56]
Generated Node #0,3,1: 22:[27, 56] Operation: 72-16=56
Exploring Operation: 72-27=45, Resulting Numbers: [16, 45]
Generated Node #0,3,2: 22:[16, 45] Operation: 72-27=45
Exploring Operation: 27-16=11, Resulting Numbers: [72, 11]
Generated Node #0,3,3: 22:[72, 11] Operation: 27-16=11
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 22:[16, 45], Operations: ['97-81=16', '72-27=45']
Exploring Operation: 16+45=61, Resulting Numbers: [61]
61,22 unequal: No Solution
Exploring Operation: 45-16=29, Resulting Numbers: [29]
29,22 unequal: No Solution
Exploring Operation: 16*45=720, Resulting Numbers: [720]
720,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 22:[27, 56], Operations: ['97-81=16', '72-16=56']
Exploring Operation: 27+56=83, Resulting Numbers: [83]
83,22 unequal: No Solution
Exploring Operation: 56-27=29, Resulting Numbers: [29]
29,22 unequal: No Solution
Exploring Operation: 27*56=1512, Resulting Numbers: [1512]
1512,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 22:[72, 11], Operations: ['97-81=16', '27-16=11']
Exploring Operation: 72*11=792, Resulting Numbers: [792]
792,22 unequal: No Solution
Exploring Operation: 72-11=61, Resulting Numbers: [61]
61,22 unequal: No Solution
Exploring Operation: 72+11=83, Resulting Numbers: [83]
83,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 22:[27, 88], Operations: ['97-81=16', '72+16=88']
Exploring Operation: 27+88=115, Resulting Numbers: [115]
115,22 unequal: No Solution
Exploring Operation: 88-27=61, Resulting Numbers: [61]
61,22 unequal: No Solution
Exploring Operation: 27*88=2376, Resulting Numbers: [2376]
2376,22 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: 22:[81, 27, 25], Operations: ['97-72=25']
Exploring Operation: 81-25=56, Resulting Numbers: [27, 56]
Generated Node #0,0,0: 22:[27, 56] Operation: 81-25=56
Exploring Operation: 81-27=54, Resulting Numbers: [25, 54]
Generated Node #0,0,1: 22:[25, 54] Operation: 81-27=54
Exploring Operation: 27-25=2, Resulting Numbers: [81, 2]
Generated Node #0,0,2: 22:[81, 2] Operation: 27-25=2
Exploring Operation: 81/27=3, Resulting Numbers: [25, 3]
Generated Node #0,0,3: 22:[25, 3] Operation: 81/27=3
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 22:[25, 3], Operations: ['97-72=25', '81/27=3']
Exploring Operation: 25-3=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Moving to Node #0
Current State: 22:[72, 81, 97, 27], Operations: []
Exploring Operation: 97-72=25, Resulting Numbers: [81, 27, 25]
Generated Node #0,0: 22:[81, 27, 25] Operation: 97-72=25
Moving to Node #0,0
Current State: 22:[81, 27, 25], Operations: ['97-72=25']
Exploring Operation: 81/27=3, Resulting Numbers: [25, 3]
Generated Node #0,0,3: 22:[25, 3] Operation: 81/27=3
Moving to Node #0,0,3
Current State: 22:[25, 3], Operations: ['97-72=25', '81/27=3']
Exploring Operation: 25-3=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Exit Sub Search at level 1
| 0.974826 | hs_4 | mult_heuristic |
[
90,
67,
21,
63
] | 69 | [
"90-67=23",
"63/21=3",
"23*3=69"
] | Current State: 69:[90, 67, 21, 63], Operations: []
Exploring Operation: 90-67=23, Resulting Numbers: [21, 63, 23]
Generated Node #2: [21, 63, 23] from Operation: 90-67=23
Current State: 69:[21, 63, 23], Operations: ['90-67=23']
Exploring Operation: 63/21=3, Resulting Numbers: [23, 3]
Generated Node #3: [23, 3] from Operation: 63/21=3
Current State: 69:[23, 3], Operations: ['90-67=23', '63/21=3']
Exploring Operation: 23*3=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[90, 67, 21, 63], Operations: []
Exploring Operation: 90-67=23, Resulting Numbers: [21, 63, 23]
Generated Node #0,0: 69:[21, 63, 23] Operation: 90-67=23
Exploring Operation: 90-21=69, Resulting Numbers: [67, 63, 69]
Generated Node #0,1: 69:[67, 63, 69] Operation: 90-21=69
Exploring Operation: 90-63=27, Resulting Numbers: [67, 21, 27]
Generated Node #0,2: 69:[67, 21, 27] Operation: 90-63=27
Exploring Operation: 63/21=3, Resulting Numbers: [90, 67, 3]
Generated Node #0,3: 69:[90, 67, 3] Operation: 63/21=3
Exploring Operation: 67-63=4, Resulting Numbers: [90, 21, 4]
Generated Node #0,4: 69:[90, 21, 4] Operation: 67-63=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 69:[21, 63, 23], Operations: ['90-67=23']
Exploring Operation: 63/21=3, Resulting Numbers: [23, 3]
Generated Node #0,0,0: 69:[23, 3] Operation: 63/21=3
Exploring Operation: 63+23=86, Resulting Numbers: [21, 86]
Generated Node #0,0,1: 69:[21, 86] Operation: 63+23=86
Exploring Operation: 23-21=2, Resulting Numbers: [63, 2]
Generated Node #0,0,2: 69:[63, 2] Operation: 23-21=2
Exploring Operation: 63-21=42, Resulting Numbers: [23, 42]
Generated Node #0,0,3: 69:[23, 42] Operation: 63-21=42
Exploring Operation: 21+63=84, Resulting Numbers: [23, 84]
Generated Node #0,0,4: 69:[23, 84] Operation: 21+63=84
Moving to Node #0,0,0
Current State: 69:[23, 3], Operations: ['90-67=23', '63/21=3']
Exploring Operation: 23-3=20, Resulting Numbers: [20]
20,69 unequal: No Solution
Exploring Operation: 23+3=26, Resulting Numbers: [26]
26,69 unequal: No Solution
Exploring Operation: 23*3=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Moving to Node #0
Current State: 69:[90, 67, 21, 63], Operations: []
Exploring Operation: 90-67=23, Resulting Numbers: [21, 63, 23]
Generated Node #0,0: 69:[21, 63, 23] Operation: 90-67=23
Moving to Node #0,0
Current State: 69:[21, 63, 23], Operations: ['90-67=23']
Exploring Operation: 63/21=3, Resulting Numbers: [23, 3]
Generated Node #0,0,0: 69:[23, 3] Operation: 63/21=3
Moving to Node #0,0,0
Current State: 69:[23, 3], Operations: ['90-67=23', '63/21=3']
Exploring Operation: 23*3=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_5 | mult_heuristic |
[
52,
44,
30,
51
] | 75 | [
"52+44=96",
"51-30=21",
"96-21=75"
] | Current State: 75:[52, 44, 30, 51], Operations: []
Exploring Operation: 52+44=96, Resulting Numbers: [30, 51, 96]
Generated Node #2: [30, 51, 96] from Operation: 52+44=96
Current State: 75:[30, 51, 96], Operations: ['52+44=96']
Exploring Operation: 51-30=21, Resulting Numbers: [96, 21]
Generated Node #3: [96, 21] from Operation: 51-30=21
Current State: 75:[96, 21], Operations: ['52+44=96', '51-30=21']
Exploring Operation: 96-21=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[52, 44, 30, 51], Operations: []
Exploring Operation: 52-51=1, Resulting Numbers: [44, 30, 1]
Generated Node #0,0: 75:[44, 30, 1] Operation: 52-51=1
Exploring Operation: 52-44=8, Resulting Numbers: [30, 51, 8]
Generated Node #0,1: 75:[30, 51, 8] Operation: 52-44=8
Exploring Operation: 51-44=7, Resulting Numbers: [52, 30, 7]
Generated Node #0,2: 75:[52, 30, 7] Operation: 51-44=7
Moving to Node #0,0
Current State: 75:[44, 30, 1], Operations: ['52-51=1']
Exploring Operation: 44-30=14, Resulting Numbers: [1, 14]
Generated Node #0,0,0: 75:[1, 14] Operation: 44-30=14
Exploring Operation: 44-1=43, Resulting Numbers: [30, 43]
Generated Node #0,0,1: 75:[30, 43] Operation: 44-1=43
Exploring Operation: 44+30=74, Resulting Numbers: [1, 74]
Generated Node #0,0,2: 75:[1, 74] Operation: 44+30=74
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 75:[1, 14], Operations: ['52-51=1', '44-30=14']
Exploring Operation: 14/1=14, Resulting Numbers: [14]
14,75 unequal: No Solution
Exploring Operation: 1+14=15, Resulting Numbers: [15]
15,75 unequal: No Solution
Exploring Operation: 1*14=14, Resulting Numbers: [14]
14,75 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:[1, 74], Operations: ['52-51=1', '44+30=74']
Exploring Operation: 1*74=74, Resulting Numbers: [74]
74,75 unequal: No Solution
Exploring Operation: 1+74=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Moving to Node #0
Current State: 75:[52, 44, 30, 51], Operations: []
Exploring Operation: 52-51=1, Resulting Numbers: [44, 30, 1]
Generated Node #0,0: 75:[44, 30, 1] Operation: 52-51=1
Moving to Node #0,0
Current State: 75:[44, 30, 1], Operations: ['52-51=1']
Exploring Operation: 44+30=74, Resulting Numbers: [1, 74]
Generated Node #0,0,2: 75:[1, 74] Operation: 44+30=74
Moving to Node #0,0,2
Current State: 75:[1, 74], Operations: ['52-51=1', '44+30=74']
Exploring Operation: 1+74=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_3 | sum_heuristic |
[
8,
66,
40,
46
] | 12 | [
"8+66=74",
"40+46=86",
"86-74=12"
] | Current State: 12:[8, 66, 40, 46], Operations: []
Exploring Operation: 8+66=74, Resulting Numbers: [40, 46, 74]
Generated Node #2: [40, 46, 74] from Operation: 8+66=74
Current State: 12:[40, 46, 74], Operations: ['8+66=74']
Exploring Operation: 40+46=86, Resulting Numbers: [74, 86]
Generated Node #3: [74, 86] from Operation: 40+46=86
Current State: 12:[74, 86], Operations: ['8+66=74', '40+46=86']
Exploring Operation: 86-74=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[8, 66, 40, 46], Operations: []
Exploring Operation: 66-46=20, Resulting Numbers: [8, 40, 20]
Generated Node #0,0: 12:[8, 40, 20] Operation: 66-46=20
Exploring Operation: 66-40=26, Resulting Numbers: [8, 46, 26]
Generated Node #0,1: 12:[8, 46, 26] Operation: 66-40=26
Start Sub Search at level 1: Moving to Node #0,0
Current State: 12:[8, 40, 20], Operations: ['66-46=20']
Exploring Operation: 40/20=2, Resulting Numbers: [8, 2]
Generated Node #0,0,0: 12:[8, 2] Operation: 40/20=2
Exploring Operation: 40/8=5, Resulting Numbers: [20, 5]
Generated Node #0,0,1: 12:[20, 5] Operation: 40/8=5
Moving to Node #0,0,0
Current State: 12:[8, 2], Operations: ['66-46=20', '40/20=2']
Exploring Operation: 8-2=6, Resulting Numbers: [6]
6,12 unequal: No Solution
Exploring Operation: 8/2=4, Resulting Numbers: [4]
4,12 unequal: No Solution
Moving to Node #0,0,1
Current State: 12:[20, 5], Operations: ['66-46=20', '40/8=5']
Exploring Operation: 20-5=15, Resulting Numbers: [15]
15,12 unequal: No Solution
Exploring Operation: 20/5=4, Resulting Numbers: [4]
4,12 unequal: No Solution
No 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: 12:[8, 46, 26], Operations: ['66-40=26']
Exploring Operation: 46-26=20, Resulting Numbers: [8, 20]
Generated Node #0,1,0: 12:[8, 20] Operation: 46-26=20
Exploring Operation: 46-8=38, Resulting Numbers: [26, 38]
Generated Node #0,1,1: 12:[26, 38] Operation: 46-8=38
Moving to Node #0,1,0
Current State: 12:[8, 20], Operations: ['66-40=26', '46-26=20']
Exploring Operation: 8+20=28, Resulting Numbers: [28]
28,12 unequal: No Solution
Exploring Operation: 20-8=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Moving to Node #0
Current State: 12:[8, 66, 40, 46], Operations: []
Exploring Operation: 66-40=26, Resulting Numbers: [8, 46, 26]
Generated Node #0,1: 12:[8, 46, 26] Operation: 66-40=26
Moving to Node #0,1
Current State: 12:[8, 46, 26], Operations: ['66-40=26']
Exploring Operation: 46-26=20, Resulting Numbers: [8, 20]
Generated Node #0,1,0: 12:[8, 20] Operation: 46-26=20
Moving to Node #0,1,0
Current State: 12:[8, 20], Operations: ['66-40=26', '46-26=20']
Exploring Operation: 20-8=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_2 | mult_heuristic |
[
51,
4,
21,
44
] | 91 | [
"51-44=7",
"4*21=84",
"7+84=91"
] | Current State: 91:[51, 4, 21, 44], Operations: []
Exploring Operation: 51-44=7, Resulting Numbers: [4, 21, 7]
Generated Node #2: [4, 21, 7] from Operation: 51-44=7
Current State: 91:[4, 21, 7], Operations: ['51-44=7']
Exploring Operation: 4*21=84, Resulting Numbers: [7, 84]
Generated Node #3: [7, 84] from Operation: 4*21=84
Current State: 91:[7, 84], Operations: ['51-44=7', '4*21=84']
Exploring Operation: 7+84=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[51, 4, 21, 44], Operations: []
Exploring Operation: 51-44=7, Resulting Numbers: [4, 21, 7]
Generated Node #0,0: 91:[4, 21, 7] Operation: 51-44=7
Exploring Operation: 44/4=11, Resulting Numbers: [51, 21, 11]
Generated Node #0,1: 91:[51, 21, 11] Operation: 44/4=11
Exploring Operation: 51+44=95, Resulting Numbers: [4, 21, 95]
Generated Node #0,2: 91:[4, 21, 95] Operation: 51+44=95
Moving to Node #0,0
Current State: 91:[4, 21, 7], Operations: ['51-44=7']
Exploring Operation: 4*21=84, Resulting Numbers: [7, 84]
Generated Node #0,0,0: 91:[7, 84] Operation: 4*21=84
Exploring Operation: 21-4=17, Resulting Numbers: [7, 17]
Generated Node #0,0,1: 91:[7, 17] Operation: 21-4=17
Exploring Operation: 21-7=14, Resulting Numbers: [4, 14]
Generated Node #0,0,2: 91:[4, 14] Operation: 21-7=14
Moving to Node #0,2
Current State: 91:[4, 21, 95], Operations: ['51+44=95']
Exploring Operation: 95-4=91, Resulting Numbers: [21, 91]
Generated Node #0,2,0: 91:[21, 91] Operation: 95-4=91
Exploring Operation: 21-4=17, Resulting Numbers: [95, 17]
Generated Node #0,2,1: 91:[95, 17] Operation: 21-4=17
Exploring Operation: 4*21=84, Resulting Numbers: [95, 84]
Generated Node #0,2,2: 91:[95, 84] Operation: 4*21=84
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 91:[21, 91], Operations: ['51+44=95', '95-4=91']
Exploring Operation: 21+91=112, Resulting Numbers: [112]
112,91 unequal: No Solution
Exploring Operation: 91-21=70, Resulting Numbers: [70]
70,91 unequal: No Solution
Exploring Operation: 21*91=1911, Resulting Numbers: [1911]
1911,91 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 #0,2,1
Current State: 91:[95, 17], Operations: ['51+44=95', '21-4=17']
Exploring Operation: 95-17=78, Resulting Numbers: [78]
78,91 unequal: No Solution
Exploring Operation: 95+17=112, Resulting Numbers: [112]
112,91 unequal: No Solution
Exploring Operation: 95*17=1615, Resulting Numbers: [1615]
1615,91 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 #0,2,2
Current State: 91:[95, 84], Operations: ['51+44=95', '4*21=84']
Exploring Operation: 95+84=179, Resulting Numbers: [179]
179,91 unequal: No Solution
Exploring Operation: 95-84=11, Resulting Numbers: [11]
11,91 unequal: No Solution
Exploring Operation: 95*84=7980, Resulting Numbers: [7980]
7980,91 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: 91:[51, 21, 11], Operations: ['44/4=11']
Exploring Operation: 51-11=40, Resulting Numbers: [21, 40]
Generated Node #0,1,0: 91:[21, 40] Operation: 51-11=40
Exploring Operation: 51+21=72, Resulting Numbers: [11, 72]
Generated Node #0,1,1: 91:[11, 72] Operation: 51+21=72
Exploring Operation: 51-21=30, Resulting Numbers: [11, 30]
Generated Node #0,1,2: 91:[11, 30] Operation: 51-21=30
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 91:[11, 30], Operations: ['44/4=11', '51-21=30']
Exploring Operation: 11+30=41, Resulting Numbers: [41]
41,91 unequal: No Solution
Exploring Operation: 11*30=330, Resulting Numbers: [330]
330,91 unequal: No Solution
Exploring Operation: 30-11=19, Resulting Numbers: [19]
19,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 91:[11, 72], Operations: ['44/4=11', '51+21=72']
Exploring Operation: 72-11=61, Resulting Numbers: [61]
61,91 unequal: No Solution
Exploring Operation: 11+72=83, Resulting Numbers: [83]
83,91 unequal: No Solution
Exploring Operation: 11*72=792, Resulting Numbers: [792]
792,91 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 #0,1,0
Current State: 91:[21, 40], Operations: ['44/4=11', '51-11=40']
Exploring Operation: 40-21=19, Resulting Numbers: [19]
19,91 unequal: No Solution
Exploring Operation: 21*40=840, Resulting Numbers: [840]
840,91 unequal: No Solution
Exploring Operation: 21+40=61, Resulting Numbers: [61]
61,91 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: 91:[7, 17], Operations: ['51-44=7', '21-4=17']
Exploring Operation: 7+17=24, Resulting Numbers: [24]
24,91 unequal: No Solution
Exploring Operation: 17-7=10, Resulting Numbers: [10]
10,91 unequal: No Solution
Exploring Operation: 7*17=119, Resulting Numbers: [119]
119,91 unequal: No Solution
Moving to Node #0,0,2
Current State: 91:[4, 14], Operations: ['51-44=7', '21-7=14']
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,91 unequal: No Solution
Exploring Operation: 4+14=18, Resulting Numbers: [18]
18,91 unequal: No Solution
Exploring Operation: 4*14=56, Resulting Numbers: [56]
56,91 unequal: No Solution
Moving to Node #0,0,0
Current State: 91:[7, 84], Operations: ['51-44=7', '4*21=84']
Exploring Operation: 84/7=12, Resulting Numbers: [12]
12,91 unequal: No Solution
Exploring Operation: 84-7=77, Resulting Numbers: [77]
77,91 unequal: No Solution
Exploring Operation: 7+84=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Moving to Node #0
Current State: 91:[51, 4, 21, 44], Operations: []
Exploring Operation: 51-44=7, Resulting Numbers: [4, 21, 7]
Generated Node #0,0: 91:[4, 21, 7] Operation: 51-44=7
Moving to Node #0,0
Current State: 91:[4, 21, 7], Operations: ['51-44=7']
Exploring Operation: 4*21=84, Resulting Numbers: [7, 84]
Generated Node #0,0,0: 91:[7, 84] Operation: 4*21=84
Moving to Node #0,0,0
Current State: 91:[7, 84], Operations: ['51-44=7', '4*21=84']
Exploring Operation: 7+84=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 0.962674 | hs_3 | mult_heuristic |
[
3,
39,
17,
40
] | 64 | [
"3*40=120",
"39+17=56",
"120-56=64"
] | Current State: 64:[3, 39, 17, 40], Operations: []
Exploring Operation: 3*40=120, Resulting Numbers: [39, 17, 120]
Generated Node #2: [39, 17, 120] from Operation: 3*40=120
Current State: 64:[39, 17, 120], Operations: ['3*40=120']
Exploring Operation: 39+17=56, Resulting Numbers: [120, 56]
Generated Node #3: [120, 56] from Operation: 39+17=56
Current State: 64:[120, 56], Operations: ['3*40=120', '39+17=56']
Exploring Operation: 120-56=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[3, 39, 17, 40], Operations: []
Exploring Operation: 40-3=37, Resulting Numbers: [39, 17, 37]
Generated Node #0,0: 64:[39, 17, 37] Operation: 40-3=37
Exploring Operation: 40-39=1, Resulting Numbers: [3, 17, 1]
Generated Node #0,1: 64:[3, 17, 1] Operation: 40-39=1
Exploring Operation: 39/3=13, Resulting Numbers: [17, 40, 13]
Generated Node #0,2: 64:[17, 40, 13] Operation: 39/3=13
Exploring Operation: 39-3=36, Resulting Numbers: [17, 40, 36]
Generated Node #0,3: 64:[17, 40, 36] Operation: 39-3=36
Moving to Node #0,1
Current State: 64:[3, 17, 1], Operations: ['40-39=1']
Exploring Operation: 3-1=2, Resulting Numbers: [17, 2]
Generated Node #0,1,0: 64:[17, 2] Operation: 3-1=2
Exploring Operation: 3*1=3, Resulting Numbers: [17, 3]
Generated Node #0,1,1: 64:[17, 3] Operation: 3*1=3
Exploring Operation: 3+1=4, Resulting Numbers: [17, 4]
Generated Node #0,1,2: 64:[17, 4] Operation: 3+1=4
Exploring Operation: 17-1=16, Resulting Numbers: [3, 16]
Generated Node #0,1,3: 64:[3, 16] Operation: 17-1=16
Moving to Node #0,2
Current State: 64:[17, 40, 13], Operations: ['39/3=13']
Exploring Operation: 40-13=27, Resulting Numbers: [17, 27]
Generated Node #0,2,0: 64:[17, 27] Operation: 40-13=27
Exploring Operation: 40-17=23, Resulting Numbers: [13, 23]
Generated Node #0,2,1: 64:[13, 23] Operation: 40-17=23
Exploring Operation: 17+40=57, Resulting Numbers: [13, 57]
Generated Node #0,2,2: 64:[13, 57] Operation: 17+40=57
Exploring Operation: 17-13=4, Resulting Numbers: [40, 4]
Generated Node #0,2,3: 64:[40, 4] Operation: 17-13=4
Moving to Node #0,3
Current State: 64:[17, 40, 36], Operations: ['39-3=36']
Exploring Operation: 40-36=4, Resulting Numbers: [17, 4]
Generated Node #0,3,0: 64:[17, 4] Operation: 40-36=4
Exploring Operation: 36-17=19, Resulting Numbers: [40, 19]
Generated Node #0,3,1: 64:[40, 19] Operation: 36-17=19
Exploring Operation: 17+40=57, Resulting Numbers: [36, 57]
Generated Node #0,3,2: 64:[36, 57] Operation: 17+40=57
Exploring Operation: 40-17=23, Resulting Numbers: [36, 23]
Generated Node #0,3,3: 64:[36, 23] Operation: 40-17=23
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 64:[17, 4], Operations: ['39-3=36', '40-36=4']
Exploring Operation: 17-4=13, Resulting Numbers: [13]
13,64 unequal: No Solution
Exploring Operation: 17*4=68, Resulting Numbers: [68]
68,64 unequal: No Solution
Exploring Operation: 17+4=21, Resulting Numbers: [21]
21,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 64:[40, 19], Operations: ['39-3=36', '36-17=19']
Exploring Operation: 40-19=21, Resulting Numbers: [21]
21,64 unequal: No Solution
Exploring Operation: 40+19=59, Resulting Numbers: [59]
59,64 unequal: No Solution
Exploring Operation: 40*19=760, Resulting Numbers: [760]
760,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 64:[36, 57], Operations: ['39-3=36', '17+40=57']
Exploring Operation: 36*57=2052, Resulting Numbers: [2052]
2052,64 unequal: No Solution
Exploring Operation: 36+57=93, Resulting Numbers: [93]
93,64 unequal: No Solution
Exploring Operation: 57-36=21, Resulting Numbers: [21]
21,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 64:[36, 23], Operations: ['39-3=36', '40-17=23']
Exploring Operation: 36*23=828, Resulting Numbers: [828]
828,64 unequal: No Solution
Exploring Operation: 36+23=59, Resulting Numbers: [59]
59,64 unequal: No Solution
Exploring Operation: 36-23=13, Resulting Numbers: [13]
13,64 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: 64:[39, 17, 37], Operations: ['40-3=37']
Exploring Operation: 39-37=2, Resulting Numbers: [17, 2]
Generated Node #0,0,0: 64:[17, 2] Operation: 39-37=2
Exploring Operation: 39-17=22, Resulting Numbers: [37, 22]
Generated Node #0,0,1: 64:[37, 22] Operation: 39-17=22
Exploring Operation: 37-17=20, Resulting Numbers: [39, 20]
Generated Node #0,0,2: 64:[39, 20] Operation: 37-17=20
Exploring Operation: 39+17=56, Resulting Numbers: [37, 56]
Generated Node #0,0,3: 64:[37, 56] Operation: 39+17=56
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 64:[17, 2], Operations: ['40-3=37', '39-37=2']
Exploring Operation: 17+2=19, Resulting Numbers: [19]
19,64 unequal: No Solution
Exploring Operation: 17*2=34, Resulting Numbers: [34]
34,64 unequal: No Solution
Exploring Operation: 17-2=15, Resulting Numbers: [15]
15,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 64:[37, 22], Operations: ['40-3=37', '39-17=22']
Exploring Operation: 37+22=59, Resulting Numbers: [59]
59,64 unequal: No Solution
Exploring Operation: 37*22=814, Resulting Numbers: [814]
814,64 unequal: No Solution
Exploring Operation: 37-22=15, Resulting Numbers: [15]
15,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 64:[39, 20], Operations: ['40-3=37', '37-17=20']
Exploring Operation: 39+20=59, Resulting Numbers: [59]
59,64 unequal: No Solution
Exploring Operation: 39-20=19, Resulting Numbers: [19]
19,64 unequal: No Solution
Exploring Operation: 39*20=780, Resulting Numbers: [780]
780,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 64:[37, 56], Operations: ['40-3=37', '39+17=56']
Exploring Operation: 37+56=93, Resulting Numbers: [93]
93,64 unequal: No Solution
Exploring Operation: 37*56=2072, Resulting Numbers: [2072]
2072,64 unequal: No Solution
Exploring Operation: 56-37=19, Resulting Numbers: [19]
19,64 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: 64:[17, 2], Operations: ['40-39=1', '3-1=2']
Exploring Operation: 17*2=34, Resulting Numbers: [34]
34,64 unequal: No Solution
Exploring Operation: 17+2=19, Resulting Numbers: [19]
19,64 unequal: No Solution
Exploring Operation: 17-2=15, Resulting Numbers: [15]
15,64 unequal: No Solution
Moving to Node #0,1,3
Current State: 64:[3, 16], Operations: ['40-39=1', '17-1=16']
Exploring Operation: 3+16=19, Resulting Numbers: [19]
19,64 unequal: No Solution
Exploring Operation: 16-3=13, Resulting Numbers: [13]
13,64 unequal: No Solution
Exploring Operation: 3*16=48, Resulting Numbers: [48]
48,64 unequal: No Solution
Moving to Node #0,1,2
Current State: 64:[17, 4], Operations: ['40-39=1', '3+1=4']
Exploring Operation: 17-4=13, Resulting Numbers: [13]
13,64 unequal: No Solution
Exploring Operation: 17*4=68, Resulting Numbers: [68]
68,64 unequal: No Solution
Exploring Operation: 17+4=21, Resulting Numbers: [21]
21,64 unequal: No Solution
Moving to Node #0,1,1
Current State: 64:[17, 3], Operations: ['40-39=1', '3*1=3']
Exploring Operation: 17-3=14, Resulting Numbers: [14]
14,64 unequal: No Solution
Exploring Operation: 17+3=20, Resulting Numbers: [20]
20,64 unequal: No Solution
Exploring Operation: 17*3=51, Resulting Numbers: [51]
51,64 unequal: No Solution
Moving to Node #0,2,0
Current State: 64:[17, 27], Operations: ['39/3=13', '40-13=27']
Exploring Operation: 27-17=10, Resulting Numbers: [10]
10,64 unequal: No Solution
Exploring Operation: 17+27=44, Resulting Numbers: [44]
44,64 unequal: No Solution
Exploring Operation: 17*27=459, Resulting Numbers: [459]
459,64 unequal: No Solution
Moving to Node #0,2,3
Current State: 64:[40, 4], Operations: ['39/3=13', '17-13=4']
Exploring Operation: 40*4=160, Resulting Numbers: [160]
160,64 unequal: No Solution
Exploring Operation: 40/4=10, Resulting Numbers: [10]
10,64 unequal: No Solution
Exploring Operation: 40+4=44, Resulting Numbers: [44]
44,64 unequal: No Solution
Exploring Operation: 40-4=36, Resulting Numbers: [36]
36,64 unequal: No Solution
Moving to Node #0,2,1
Current State: 64:[13, 23], Operations: ['39/3=13', '40-17=23']
Exploring Operation: 13+23=36, Resulting Numbers: [36]
36,64 unequal: No Solution
Exploring Operation: 13*23=299, Resulting Numbers: [299]
299,64 unequal: No Solution
Exploring Operation: 23-13=10, Resulting Numbers: [10]
10,64 unequal: No Solution
Moving to Node #0,2,2
Current State: 64:[13, 57], Operations: ['39/3=13', '17+40=57']
Exploring Operation: 13+57=70, Resulting Numbers: [70]
70,64 unequal: No Solution
Exploring Operation: 13*57=741, Resulting Numbers: [741]
741,64 unequal: No Solution
Exploring Operation: 57-13=44, Resulting Numbers: [44]
44,64 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
95,
38,
2,
22
] | 46 | [
"95-38=57",
"22/2=11",
"57-11=46"
] | Current State: 46:[95, 38, 2, 22], Operations: []
Exploring Operation: 95-38=57, Resulting Numbers: [2, 22, 57]
Generated Node #2: [2, 22, 57] from Operation: 95-38=57
Current State: 46:[2, 22, 57], Operations: ['95-38=57']
Exploring Operation: 22/2=11, Resulting Numbers: [57, 11]
Generated Node #3: [57, 11] from Operation: 22/2=11
Current State: 46:[57, 11], Operations: ['95-38=57', '22/2=11']
Exploring Operation: 57-11=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[95, 38, 2, 22], Operations: []
Exploring Operation: 95-38=57, Resulting Numbers: [2, 22, 57]
Generated Node #0,0: 46:[2, 22, 57] Operation: 95-38=57
Exploring Operation: 95-22=73, Resulting Numbers: [38, 2, 73]
Generated Node #0,1: 46:[38, 2, 73] Operation: 95-22=73
Moving to Node #0,0
Current State: 46:[2, 22, 57], Operations: ['95-38=57']
Exploring Operation: 57-22=35, Resulting Numbers: [2, 35]
Generated Node #0,0,0: 46:[2, 35] Operation: 57-22=35
Exploring Operation: 57-2=55, Resulting Numbers: [22, 55]
Generated Node #0,0,1: 46:[22, 55] Operation: 57-2=55
Moving to Node #0,1
Current State: 46:[38, 2, 73], Operations: ['95-22=73']
Exploring Operation: 73-38=35, Resulting Numbers: [2, 35]
Generated Node #0,1,0: 46:[2, 35] Operation: 73-38=35
Exploring Operation: 38/2=19, Resulting Numbers: [73, 19]
Generated Node #0,1,1: 46:[73, 19] Operation: 38/2=19
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 46:[2, 35], Operations: ['95-22=73', '73-38=35']
Exploring Operation: 35-2=33, Resulting Numbers: [33]
33,46 unequal: No Solution
Exploring Operation: 2+35=37, Resulting Numbers: [37]
37,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 46:[73, 19], Operations: ['95-22=73', '38/2=19']
Exploring Operation: 73+19=92, Resulting Numbers: [92]
92,46 unequal: No Solution
Exploring Operation: 73-19=54, Resulting Numbers: [54]
54,46 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: 46:[22, 55], Operations: ['95-38=57', '57-2=55']
Exploring Operation: 22+55=77, Resulting Numbers: [77]
77,46 unequal: No Solution
Exploring Operation: 55-22=33, Resulting Numbers: [33]
33,46 unequal: No Solution
Moving to Node #0,0,0
Current State: 46:[2, 35], Operations: ['95-38=57', '57-22=35']
Exploring Operation: 35-2=33, Resulting Numbers: [33]
33,46 unequal: No Solution
Exploring Operation: 2+35=37, Resulting Numbers: [37]
37,46 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
63,
58,
28,
54
] | 59 | [
"58+54=112",
"112/28=4",
"63-4=59"
] | Current State: 59:[63, 58, 28, 54], Operations: []
Exploring Operation: 58+54=112, Resulting Numbers: [63, 28, 112]
Generated Node #2: [63, 28, 112] from Operation: 58+54=112
Current State: 59:[63, 28, 112], Operations: ['58+54=112']
Exploring Operation: 112/28=4, Resulting Numbers: [63, 4]
Generated Node #3: [63, 4] from Operation: 112/28=4
Current State: 59:[63, 4], Operations: ['58+54=112', '112/28=4']
Exploring Operation: 63-4=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[63, 58, 28, 54], Operations: []
Exploring Operation: 28+54=82, Resulting Numbers: [63, 58, 82]
Generated Node #0,0: 59:[63, 58, 82] Operation: 28+54=82
Exploring Operation: 58+28=86, Resulting Numbers: [63, 54, 86]
Generated Node #0,1: 59:[63, 54, 86] Operation: 58+28=86
Exploring Operation: 63-28=35, Resulting Numbers: [58, 54, 35]
Generated Node #0,2: 59:[58, 54, 35] Operation: 63-28=35
Moving to Node #0,0
Current State: 59:[63, 58, 82], Operations: ['28+54=82']
Exploring Operation: 82-63=19, Resulting Numbers: [58, 19]
Generated Node #0,0,0: 59:[58, 19] Operation: 82-63=19
Exploring Operation: 63-58=5, Resulting Numbers: [82, 5]
Generated Node #0,0,1: 59:[82, 5] Operation: 63-58=5
Exploring Operation: 82-58=24, Resulting Numbers: [63, 24]
Generated Node #0,0,2: 59:[63, 24] Operation: 82-58=24
Moving to Node #0,2
Current State: 59:[58, 54, 35], Operations: ['63-28=35']
Exploring Operation: 54+35=89, Resulting Numbers: [58, 89]
Generated Node #0,2,0: 59:[58, 89] Operation: 54+35=89
Exploring Operation: 58+35=93, Resulting Numbers: [54, 93]
Generated Node #0,2,1: 59:[54, 93] Operation: 58+35=93
Exploring Operation: 58-35=23, Resulting Numbers: [54, 23]
Generated Node #0,2,2: 59:[54, 23] Operation: 58-35=23
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 59:[58, 89], Operations: ['63-28=35', '54+35=89']
Exploring Operation: 58*89=5162, Resulting Numbers: [5162]
5162,59 unequal: No Solution
Exploring Operation: 89-58=31, Resulting Numbers: [31]
31,59 unequal: No Solution
Exploring Operation: 58+89=147, Resulting Numbers: [147]
147,59 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 #0,2,1
Current State: 59:[54, 93], Operations: ['63-28=35', '58+35=93']
Exploring Operation: 93-54=39, Resulting Numbers: [39]
39,59 unequal: No Solution
Exploring Operation: 54*93=5022, Resulting Numbers: [5022]
5022,59 unequal: No Solution
Exploring Operation: 54+93=147, Resulting Numbers: [147]
147,59 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 #0,2,2
Current State: 59:[54, 23], Operations: ['63-28=35', '58-35=23']
Exploring Operation: 54+23=77, Resulting Numbers: [77]
77,59 unequal: No Solution
Exploring Operation: 54*23=1242, Resulting Numbers: [1242]
1242,59 unequal: No Solution
Exploring Operation: 54-23=31, Resulting Numbers: [31]
31,59 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: 59:[63, 54, 86], Operations: ['58+28=86']
Exploring Operation: 86-54=32, Resulting Numbers: [63, 32]
Generated Node #0,1,0: 59:[63, 32] Operation: 86-54=32
Exploring Operation: 63-54=9, Resulting Numbers: [86, 9]
Generated Node #0,1,1: 59:[86, 9] Operation: 63-54=9
Exploring Operation: 86-63=23, Resulting Numbers: [54, 23]
Generated Node #0,1,2: 59:[54, 23] Operation: 86-63=23
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 59:[63, 32], Operations: ['58+28=86', '86-54=32']
Exploring Operation: 63-32=31, Resulting Numbers: [31]
31,59 unequal: No Solution
Exploring Operation: 63*32=2016, Resulting Numbers: [2016]
2016,59 unequal: No Solution
Exploring Operation: 63+32=95, Resulting Numbers: [95]
95,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 59:[54, 23], Operations: ['58+28=86', '86-63=23']
Exploring Operation: 54*23=1242, Resulting Numbers: [1242]
1242,59 unequal: No Solution
Exploring Operation: 54-23=31, Resulting Numbers: [31]
31,59 unequal: No Solution
Exploring Operation: 54+23=77, Resulting Numbers: [77]
77,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 59:[86, 9], Operations: ['58+28=86', '63-54=9']
Exploring Operation: 86+9=95, Resulting Numbers: [95]
95,59 unequal: No Solution
Exploring Operation: 86-9=77, Resulting Numbers: [77]
77,59 unequal: No Solution
Exploring Operation: 86*9=774, Resulting Numbers: [774]
774,59 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: 59:[63, 24], Operations: ['28+54=82', '82-58=24']
Exploring Operation: 63*24=1512, Resulting Numbers: [1512]
1512,59 unequal: No Solution
Exploring Operation: 63-24=39, Resulting Numbers: [39]
39,59 unequal: No Solution
Exploring Operation: 63+24=87, Resulting Numbers: [87]
87,59 unequal: No Solution
Moving to Node #0,0,0
Current State: 59:[58, 19], Operations: ['28+54=82', '82-63=19']
Exploring Operation: 58+19=77, Resulting Numbers: [77]
77,59 unequal: No Solution
Exploring Operation: 58*19=1102, Resulting Numbers: [1102]
1102,59 unequal: No Solution
Exploring Operation: 58-19=39, Resulting Numbers: [39]
39,59 unequal: No Solution
Moving to Node #0,0,1
Current State: 59:[82, 5], Operations: ['28+54=82', '63-58=5']
Exploring Operation: 82+5=87, Resulting Numbers: [87]
87,59 unequal: No Solution
Exploring Operation: 82*5=410, Resulting Numbers: [410]
410,59 unequal: No Solution
Exploring Operation: 82-5=77, Resulting Numbers: [77]
77,59 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
93,
76,
47,
65
] | 95 | [
"93-76=17",
"47+65=112",
"112-17=95"
] | Current State: 95:[93, 76, 47, 65], Operations: []
Exploring Operation: 93-76=17, Resulting Numbers: [47, 65, 17]
Generated Node #2: [47, 65, 17] from Operation: 93-76=17
Current State: 95:[47, 65, 17], Operations: ['93-76=17']
Exploring Operation: 47+65=112, Resulting Numbers: [17, 112]
Generated Node #3: [17, 112] from Operation: 47+65=112
Current State: 95:[17, 112], Operations: ['93-76=17', '47+65=112']
Exploring Operation: 112-17=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[93, 76, 47, 65], Operations: []
Exploring Operation: 47+65=112, Resulting Numbers: [93, 76, 112]
Generated Node #0,0: 95:[93, 76, 112] Operation: 47+65=112
Exploring Operation: 65-47=18, Resulting Numbers: [93, 76, 18]
Generated Node #0,1: 95:[93, 76, 18] Operation: 65-47=18
Exploring Operation: 76-65=11, Resulting Numbers: [93, 47, 11]
Generated Node #0,2: 95:[93, 47, 11] Operation: 76-65=11
Moving to Node #0,1
Current State: 95:[93, 76, 18], Operations: ['65-47=18']
Exploring Operation: 93+18=111, Resulting Numbers: [76, 111]
Generated Node #0,1,0: 95:[76, 111] Operation: 93+18=111
Exploring Operation: 76+18=94, Resulting Numbers: [93, 94]
Generated Node #0,1,1: 95:[93, 94] Operation: 76+18=94
Exploring Operation: 93-76=17, Resulting Numbers: [18, 17]
Generated Node #0,1,2: 95:[18, 17] Operation: 93-76=17
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 95:[93, 94], Operations: ['65-47=18', '76+18=94']
Exploring Operation: 93+94=187, Resulting Numbers: [187]
187,95 unequal: No Solution
Exploring Operation: 94-93=1, Resulting Numbers: [1]
1,95 unequal: No Solution
Exploring Operation: 93*94=8742, Resulting Numbers: [8742]
8742,95 unequal: No Solution
No 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: 95:[18, 17], Operations: ['65-47=18', '93-76=17']
Exploring Operation: 18+17=35, Resulting Numbers: [35]
35,95 unequal: No Solution
Exploring Operation: 18*17=306, Resulting Numbers: [306]
306,95 unequal: No Solution
Exploring Operation: 18-17=1, Resulting Numbers: [1]
1,95 unequal: No Solution
No 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: 95:[76, 111], Operations: ['65-47=18', '93+18=111']
Exploring Operation: 111-76=35, Resulting Numbers: [35]
35,95 unequal: No Solution
Exploring Operation: 76*111=8436, Resulting Numbers: [8436]
8436,95 unequal: No Solution
Exploring Operation: 76+111=187, Resulting Numbers: [187]
187,95 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: 95:[93, 47, 11], Operations: ['76-65=11']
Exploring Operation: 47-11=36, Resulting Numbers: [93, 36]
Generated Node #0,2,0: 95:[93, 36] Operation: 47-11=36
Exploring Operation: 93-47=46, Resulting Numbers: [11, 46]
Generated Node #0,2,1: 95:[11, 46] Operation: 93-47=46
Exploring Operation: 93+11=104, Resulting Numbers: [47, 104]
Generated Node #0,2,2: 95:[47, 104] Operation: 93+11=104
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 95:[93, 36], Operations: ['76-65=11', '47-11=36']
Exploring Operation: 93-36=57, Resulting Numbers: [57]
57,95 unequal: No Solution
Exploring Operation: 93+36=129, Resulting Numbers: [129]
129,95 unequal: No Solution
Exploring Operation: 93*36=3348, Resulting Numbers: [3348]
3348,95 unequal: No Solution
No 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: 95:[11, 46], Operations: ['76-65=11', '93-47=46']
Exploring Operation: 46-11=35, Resulting Numbers: [35]
35,95 unequal: No Solution
Exploring Operation: 11*46=506, Resulting Numbers: [506]
506,95 unequal: No Solution
Exploring Operation: 11+46=57, Resulting Numbers: [57]
57,95 unequal: No Solution
No 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: 95:[47, 104], Operations: ['76-65=11', '93+11=104']
Exploring Operation: 47+104=151, Resulting Numbers: [151]
151,95 unequal: No Solution
Exploring Operation: 47*104=4888, Resulting Numbers: [4888]
4888,95 unequal: No Solution
Exploring Operation: 104-47=57, Resulting Numbers: [57]
57,95 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: 95:[93, 76, 112], Operations: ['47+65=112']
Exploring Operation: 112-93=19, Resulting Numbers: [76, 19]
Generated Node #0,0,0: 95:[76, 19] Operation: 112-93=19
Exploring Operation: 93-76=17, Resulting Numbers: [112, 17]
Generated Node #0,0,1: 95:[112, 17] Operation: 93-76=17
Exploring Operation: 112-76=36, Resulting Numbers: [93, 36]
Generated Node #0,0,2: 95:[93, 36] Operation: 112-76=36
Moving to Node #0,0,0
Current State: 95:[76, 19], Operations: ['47+65=112', '112-93=19']
Exploring Operation: 76-19=57, Resulting Numbers: [57]
57,95 unequal: No Solution
Exploring Operation: 76/19=4, Resulting Numbers: [4]
4,95 unequal: No Solution
Exploring Operation: 76+19=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Moving to Node #0
Current State: 95:[93, 76, 47, 65], Operations: []
Exploring Operation: 47+65=112, Resulting Numbers: [93, 76, 112]
Generated Node #0,0: 95:[93, 76, 112] Operation: 47+65=112
Moving to Node #0,0
Current State: 95:[93, 76, 112], Operations: ['47+65=112']
Exploring Operation: 112-93=19, Resulting Numbers: [76, 19]
Generated Node #0,0,0: 95:[76, 19] Operation: 112-93=19
Moving to Node #0,0,0
Current State: 95:[76, 19], Operations: ['47+65=112', '112-93=19']
Exploring Operation: 76+19=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 0.967882 | hs_3 | sum_heuristic |
[
71,
36,
68,
56
] | 52 | [
"71-68=3",
"36*3=108",
"108-56=52"
] | Current State: 52:[71, 36, 68, 56], Operations: []
Exploring Operation: 71-68=3, Resulting Numbers: [36, 56, 3]
Generated Node #2: [36, 56, 3] from Operation: 71-68=3
Current State: 52:[36, 56, 3], Operations: ['71-68=3']
Exploring Operation: 36*3=108, Resulting Numbers: [56, 108]
Generated Node #3: [56, 108] from Operation: 36*3=108
Current State: 52:[56, 108], Operations: ['71-68=3', '36*3=108']
Exploring Operation: 108-56=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[71, 36, 68, 56], Operations: []
Exploring Operation: 71-68=3, Resulting Numbers: [36, 56, 3]
Generated Node #0,0: 52:[36, 56, 3] Operation: 71-68=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 52:[36, 56, 3], Operations: ['71-68=3']
Exploring Operation: 36/3=12, Resulting Numbers: [56, 12]
Generated Node #0,0,0: 52:[56, 12] Operation: 36/3=12
Moving to Node #0,0,0
Current State: 52:[56, 12], Operations: ['71-68=3', '36/3=12']
Exploring Operation: 56-12=44, Resulting Numbers: [44]
44,52 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 |
[
60,
96,
56,
43
] | 19 | [
"60-56=4",
"96/4=24",
"43-24=19"
] | Current State: 19:[60, 96, 56, 43], Operations: []
Exploring Operation: 60-56=4, Resulting Numbers: [96, 43, 4]
Generated Node #2: [96, 43, 4] from Operation: 60-56=4
Current State: 19:[96, 43, 4], Operations: ['60-56=4']
Exploring Operation: 96/4=24, Resulting Numbers: [43, 24]
Generated Node #3: [43, 24] from Operation: 96/4=24
Current State: 19:[43, 24], Operations: ['60-56=4', '96/4=24']
Exploring Operation: 43-24=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[60, 96, 56, 43], Operations: []
Exploring Operation: 96-56=40, Resulting Numbers: [60, 43, 40]
Generated Node #0,0: 19:[60, 43, 40] Operation: 96-56=40
Exploring Operation: 96-60=36, Resulting Numbers: [56, 43, 36]
Generated Node #0,1: 19:[56, 43, 36] Operation: 96-60=36
Moving to Node #0,1
Current State: 19:[56, 43, 36], Operations: ['96-60=36']
Exploring Operation: 56-36=20, Resulting Numbers: [43, 20]
Generated Node #0,1,0: 19:[43, 20] Operation: 56-36=20
Exploring Operation: 56-43=13, Resulting Numbers: [36, 13]
Generated Node #0,1,1: 19:[36, 13] Operation: 56-43=13
Moving to Node #0,0
Current State: 19:[60, 43, 40], Operations: ['96-56=40']
Exploring Operation: 60-40=20, Resulting Numbers: [43, 20]
Generated Node #0,0,0: 19:[43, 20] Operation: 60-40=20
Exploring Operation: 60-43=17, Resulting Numbers: [40, 17]
Generated Node #0,0,1: 19:[40, 17] Operation: 60-43=17
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 19:[40, 17], Operations: ['96-56=40', '60-43=17']
Exploring Operation: 40-17=23, Resulting Numbers: [23]
23,19 unequal: No Solution
Exploring Operation: 40+17=57, Resulting Numbers: [57]
57,19 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 #0,0,0
Current State: 19:[43, 20], Operations: ['96-56=40', '60-40=20']
Exploring Operation: 43-20=23, Resulting Numbers: [23]
23,19 unequal: No Solution
Exploring Operation: 43+20=63, Resulting Numbers: [63]
63,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,1
Current State: 19:[36, 13], Operations: ['96-60=36', '56-43=13']
Exploring Operation: 36-13=23, Resulting Numbers: [23]
23,19 unequal: No Solution
Exploring Operation: 36+13=49, Resulting Numbers: [49]
49,19 unequal: No Solution
Moving to Node #0,1,0
Current State: 19:[43, 20], Operations: ['96-60=36', '56-36=20']
Exploring Operation: 43+20=63, Resulting Numbers: [63]
63,19 unequal: No Solution
Exploring Operation: 43-20=23, Resulting Numbers: [23]
23,19 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
76,
27,
66,
52
] | 35 | [
"76-27=49",
"66-52=14",
"49-14=35"
] | Current State: 35:[76, 27, 66, 52], Operations: []
Exploring Operation: 76-27=49, Resulting Numbers: [66, 52, 49]
Generated Node #2: [66, 52, 49] from Operation: 76-27=49
Current State: 35:[66, 52, 49], Operations: ['76-27=49']
Exploring Operation: 66-52=14, Resulting Numbers: [49, 14]
Generated Node #3: [49, 14] from Operation: 66-52=14
Current State: 35:[49, 14], Operations: ['76-27=49', '66-52=14']
Exploring Operation: 49-14=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[76, 27, 66, 52], Operations: []
Exploring Operation: 76-52=24, Resulting Numbers: [27, 66, 24]
Generated Node #0,0: 35:[27, 66, 24] Operation: 76-52=24
Exploring Operation: 66-52=14, Resulting Numbers: [76, 27, 14]
Generated Node #0,1: 35:[76, 27, 14] Operation: 66-52=14
Exploring Operation: 76-66=10, Resulting Numbers: [27, 52, 10]
Generated Node #0,2: 35:[27, 52, 10] Operation: 76-66=10
Moving to Node #0,2
Current State: 35:[27, 52, 10], Operations: ['76-66=10']
Exploring Operation: 52-10=42, Resulting Numbers: [27, 42]
Generated Node #0,2,0: 35:[27, 42] Operation: 52-10=42
Exploring Operation: 27+10=37, Resulting Numbers: [52, 37]
Generated Node #0,2,1: 35:[52, 37] Operation: 27+10=37
Exploring Operation: 52-27=25, Resulting Numbers: [10, 25]
Generated Node #0,2,2: 35:[10, 25] Operation: 52-27=25
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 35:[10, 25], Operations: ['76-66=10', '52-27=25']
Exploring Operation: 10*25=250, Resulting Numbers: [250]
250,35 unequal: No Solution
Exploring Operation: 10+25=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[76, 27, 66, 52], Operations: []
Exploring Operation: 76-66=10, Resulting Numbers: [27, 52, 10]
Generated Node #0,2: 35:[27, 52, 10] Operation: 76-66=10
Moving to Node #0,2
Current State: 35:[27, 52, 10], Operations: ['76-66=10']
Exploring Operation: 52-27=25, Resulting Numbers: [10, 25]
Generated Node #0,2,2: 35:[10, 25] Operation: 52-27=25
Moving to Node #0,2,2
Current State: 35:[10, 25], Operations: ['76-66=10', '52-27=25']
Exploring Operation: 10+25=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | sum_heuristic |
[
69,
62,
60,
87
] | 34 | [
"69-62=7",
"87-60=27",
"7+27=34"
] | Current State: 34:[69, 62, 60, 87], Operations: []
Exploring Operation: 69-62=7, Resulting Numbers: [60, 87, 7]
Generated Node #2: [60, 87, 7] from Operation: 69-62=7
Current State: 34:[60, 87, 7], Operations: ['69-62=7']
Exploring Operation: 87-60=27, Resulting Numbers: [7, 27]
Generated Node #3: [7, 27] from Operation: 87-60=27
Current State: 34:[7, 27], Operations: ['69-62=7', '87-60=27']
Exploring Operation: 7+27=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[69, 62, 60, 87], Operations: []
Exploring Operation: 69-62=7, Resulting Numbers: [60, 87, 7]
Generated Node #0,0: 34:[60, 87, 7] Operation: 69-62=7
Exploring Operation: 87-62=25, Resulting Numbers: [69, 60, 25]
Generated Node #0,1: 34:[69, 60, 25] Operation: 87-62=25
Exploring Operation: 87-69=18, Resulting Numbers: [62, 60, 18]
Generated Node #0,2: 34:[62, 60, 18] Operation: 87-69=18
Exploring Operation: 87-60=27, Resulting Numbers: [69, 62, 27]
Generated Node #0,3: 34:[69, 62, 27] Operation: 87-60=27
Moving to Node #0,2
Current State: 34:[62, 60, 18], Operations: ['87-69=18']
Exploring Operation: 62+18=80, Resulting Numbers: [60, 80]
Generated Node #0,2,0: 34:[60, 80] Operation: 62+18=80
Exploring Operation: 62-18=44, Resulting Numbers: [60, 44]
Generated Node #0,2,1: 34:[60, 44] Operation: 62-18=44
Exploring Operation: 62-60=2, Resulting Numbers: [18, 2]
Generated Node #0,2,2: 34:[18, 2] Operation: 62-60=2
Exploring Operation: 60-18=42, Resulting Numbers: [62, 42]
Generated Node #0,2,3: 34:[62, 42] Operation: 60-18=42
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 34:[18, 2], Operations: ['87-69=18', '62-60=2']
Exploring Operation: 18/2=9, Resulting Numbers: [9]
9,34 unequal: No Solution
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,34 unequal: No Solution
Exploring Operation: 18*2=36, Resulting Numbers: [36]
36,34 unequal: No Solution
Exploring Operation: 18+2=20, Resulting Numbers: [20]
20,34 unequal: No Solution
No 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: 34:[60, 44], Operations: ['87-69=18', '62-18=44']
Exploring Operation: 60*44=2640, Resulting Numbers: [2640]
2640,34 unequal: No Solution
Exploring Operation: 60-44=16, Resulting Numbers: [16]
16,34 unequal: No Solution
Exploring Operation: 60+44=104, Resulting Numbers: [104]
104,34 unequal: No Solution
No 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: 34:[62, 42], Operations: ['87-69=18', '60-18=42']
Exploring Operation: 62*42=2604, Resulting Numbers: [2604]
2604,34 unequal: No Solution
Exploring Operation: 62+42=104, Resulting Numbers: [104]
104,34 unequal: No Solution
Exploring Operation: 62-42=20, Resulting Numbers: [20]
20,34 unequal: No Solution
No 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: 34:[60, 80], Operations: ['87-69=18', '62+18=80']
Exploring Operation: 60*80=4800, Resulting Numbers: [4800]
4800,34 unequal: No Solution
Exploring Operation: 60+80=140, Resulting Numbers: [140]
140,34 unequal: No Solution
Exploring Operation: 80-60=20, Resulting Numbers: [20]
20,34 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: 34:[69, 60, 25], Operations: ['87-62=25']
Exploring Operation: 60-25=35, Resulting Numbers: [69, 35]
Generated Node #0,1,0: 34:[69, 35] Operation: 60-25=35
Exploring Operation: 69-60=9, Resulting Numbers: [25, 9]
Generated Node #0,1,1: 34:[25, 9] Operation: 69-60=9
Exploring Operation: 69+25=94, Resulting Numbers: [60, 94]
Generated Node #0,1,2: 34:[60, 94] Operation: 69+25=94
Exploring Operation: 69-25=44, Resulting Numbers: [60, 44]
Generated Node #0,1,3: 34:[60, 44] Operation: 69-25=44
Moving to Node #0,3
Current State: 34:[69, 62, 27], Operations: ['87-60=27']
Exploring Operation: 69-62=7, Resulting Numbers: [27, 7]
Generated Node #0,3,0: 34:[27, 7] Operation: 69-62=7
Exploring Operation: 69-27=42, Resulting Numbers: [62, 42]
Generated Node #0,3,1: 34:[62, 42] Operation: 69-27=42
Exploring Operation: 62-27=35, Resulting Numbers: [69, 35]
Generated Node #0,3,2: 34:[69, 35] Operation: 62-27=35
Exploring Operation: 69+27=96, Resulting Numbers: [62, 96]
Generated Node #0,3,3: 34:[62, 96] Operation: 69+27=96
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 34:[27, 7], Operations: ['87-60=27', '69-62=7']
Exploring Operation: 27-7=20, Resulting Numbers: [20]
20,34 unequal: No Solution
Exploring Operation: 27*7=189, Resulting Numbers: [189]
189,34 unequal: No Solution
Exploring Operation: 27+7=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Moving to Node #0
Current State: 34:[69, 62, 60, 87], Operations: []
Exploring Operation: 87-60=27, Resulting Numbers: [69, 62, 27]
Generated Node #0,3: 34:[69, 62, 27] Operation: 87-60=27
Moving to Node #0,3
Current State: 34:[69, 62, 27], Operations: ['87-60=27']
Exploring Operation: 69-62=7, Resulting Numbers: [27, 7]
Generated Node #0,3,0: 34:[27, 7] Operation: 69-62=7
Moving to Node #0,3,0
Current State: 34:[27, 7], Operations: ['87-60=27', '69-62=7']
Exploring Operation: 27+7=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Exit Sub Search at level 1
| 0.96875 | hs_4 | sum_heuristic |
[
22,
28,
27,
82
] | 24 | [
"82-28=54",
"54/27=2",
"22+2=24"
] | Current State: 24:[22, 28, 27, 82], Operations: []
Exploring Operation: 82-28=54, Resulting Numbers: [22, 27, 54]
Generated Node #2: [22, 27, 54] from Operation: 82-28=54
Current State: 24:[22, 27, 54], Operations: ['82-28=54']
Exploring Operation: 54/27=2, Resulting Numbers: [22, 2]
Generated Node #3: [22, 2] from Operation: 54/27=2
Current State: 24:[22, 2], Operations: ['82-28=54', '54/27=2']
Exploring Operation: 22+2=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[22, 28, 27, 82], Operations: []
Exploring Operation: 82-28=54, Resulting Numbers: [22, 27, 54]
Generated Node #0,0: 24:[22, 27, 54] Operation: 82-28=54
Exploring Operation: 82-27=55, Resulting Numbers: [22, 28, 55]
Generated Node #0,1: 24:[22, 28, 55] Operation: 82-27=55
Start Sub Search at level 1: Moving to Node #0,0
Current State: 24:[22, 27, 54], Operations: ['82-28=54']
Exploring Operation: 54-27=27, Resulting Numbers: [22, 27]
Generated Node #0,0,0: 24:[22, 27] Operation: 54-27=27
Exploring Operation: 54/27=2, Resulting Numbers: [22, 2]
Generated Node #0,0,1: 24:[22, 2] Operation: 54/27=2
Moving to Node #0,0,1
Current State: 24:[22, 2], Operations: ['82-28=54', '54/27=2']
Exploring Operation: 22+2=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Moving to Node #0
Current State: 24:[22, 28, 27, 82], Operations: []
Exploring Operation: 82-28=54, Resulting Numbers: [22, 27, 54]
Generated Node #0,0: 24:[22, 27, 54] Operation: 82-28=54
Moving to Node #0,0
Current State: 24:[22, 27, 54], Operations: ['82-28=54']
Exploring Operation: 54/27=2, Resulting Numbers: [22, 2]
Generated Node #0,0,1: 24:[22, 2] Operation: 54/27=2
Moving to Node #0,0,1
Current State: 24:[22, 2], Operations: ['82-28=54', '54/27=2']
Exploring Operation: 22+2=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
74,
46,
56,
61
] | 23 | [
"74-46=28",
"61-56=5",
"28-5=23"
] | Current State: 23:[74, 46, 56, 61], Operations: []
Exploring Operation: 74-46=28, Resulting Numbers: [56, 61, 28]
Generated Node #2: [56, 61, 28] from Operation: 74-46=28
Current State: 23:[56, 61, 28], Operations: ['74-46=28']
Exploring Operation: 61-56=5, Resulting Numbers: [28, 5]
Generated Node #3: [28, 5] from Operation: 61-56=5
Current State: 23:[28, 5], Operations: ['74-46=28', '61-56=5']
Exploring Operation: 28-5=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[74, 46, 56, 61], Operations: []
Exploring Operation: 74-56=18, Resulting Numbers: [46, 61, 18]
Generated Node #0,0: 23:[46, 61, 18] Operation: 74-56=18
Exploring Operation: 74-46=28, Resulting Numbers: [56, 61, 28]
Generated Node #0,1: 23:[56, 61, 28] Operation: 74-46=28
Exploring Operation: 74-61=13, Resulting Numbers: [46, 56, 13]
Generated Node #0,2: 23:[46, 56, 13] Operation: 74-61=13
Exploring Operation: 61-46=15, Resulting Numbers: [74, 56, 15]
Generated Node #0,3: 23:[74, 56, 15] Operation: 61-46=15
Exploring Operation: 61-56=5, Resulting Numbers: [74, 46, 5]
Generated Node #0,4: 23:[74, 46, 5] Operation: 61-56=5
Start Sub Search at level 1: Moving to Node #0,0
Current State: 23:[46, 61, 18], Operations: ['74-56=18']
Exploring Operation: 61+18=79, Resulting Numbers: [46, 79]
Generated Node #0,0,0: 23:[46, 79] Operation: 61+18=79
Exploring Operation: 61-18=43, Resulting Numbers: [46, 43]
Generated Node #0,0,1: 23:[46, 43] Operation: 61-18=43
Exploring Operation: 46-18=28, Resulting Numbers: [61, 28]
Generated Node #0,0,2: 23:[61, 28] Operation: 46-18=28
Exploring Operation: 46+18=64, Resulting Numbers: [61, 64]
Generated Node #0,0,3: 23:[61, 64] Operation: 46+18=64
Exploring Operation: 61-46=15, Resulting Numbers: [18, 15]
Generated Node #0,0,4: 23:[18, 15] Operation: 61-46=15
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 23:[18, 15], Operations: ['74-56=18', '61-46=15']
Exploring Operation: 18+15=33, Resulting Numbers: [33]
33,23 unequal: No Solution
Exploring Operation: 18-15=3, Resulting Numbers: [3]
3,23 unequal: No Solution
Exploring Operation: 18*15=270, Resulting Numbers: [270]
270,23 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: 23:[46, 43], Operations: ['74-56=18', '61-18=43']
Exploring Operation: 46-43=3, Resulting Numbers: [3]
3,23 unequal: No Solution
Exploring Operation: 46+43=89, Resulting Numbers: [89]
89,23 unequal: No Solution
Exploring Operation: 46*43=1978, Resulting Numbers: [1978]
1978,23 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: 23:[61, 28], Operations: ['74-56=18', '46-18=28']
Exploring Operation: 61*28=1708, Resulting Numbers: [1708]
1708,23 unequal: No Solution
Exploring Operation: 61+28=89, Resulting Numbers: [89]
89,23 unequal: No Solution
Exploring Operation: 61-28=33, Resulting Numbers: [33]
33,23 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: 23:[46, 79], Operations: ['74-56=18', '61+18=79']
Exploring Operation: 46+79=125, Resulting Numbers: [125]
125,23 unequal: No Solution
Exploring Operation: 46*79=3634, Resulting Numbers: [3634]
3634,23 unequal: No Solution
Exploring Operation: 79-46=33, Resulting Numbers: [33]
33,23 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: 23:[61, 64], Operations: ['74-56=18', '46+18=64']
Exploring Operation: 61+64=125, Resulting Numbers: [125]
125,23 unequal: No Solution
Exploring Operation: 64-61=3, Resulting Numbers: [3]
3,23 unequal: No Solution
Exploring Operation: 61*64=3904, Resulting Numbers: [3904]
3904,23 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: 23:[46, 56, 13], Operations: ['74-61=13']
Exploring Operation: 46-13=33, Resulting Numbers: [56, 33]
Generated Node #0,2,0: 23:[56, 33] Operation: 46-13=33
Exploring Operation: 56-46=10, Resulting Numbers: [13, 10]
Generated Node #0,2,1: 23:[13, 10] Operation: 56-46=10
Exploring Operation: 56+13=69, Resulting Numbers: [46, 69]
Generated Node #0,2,2: 23:[46, 69] Operation: 56+13=69
Exploring Operation: 56-13=43, Resulting Numbers: [46, 43]
Generated Node #0,2,3: 23:[46, 43] Operation: 56-13=43
Exploring Operation: 46+13=59, Resulting Numbers: [56, 59]
Generated Node #0,2,4: 23:[56, 59] Operation: 46+13=59
Moving to Node #0,2,1
Current State: 23:[13, 10], Operations: ['74-61=13', '56-46=10']
Exploring Operation: 13-10=3, Resulting Numbers: [3]
3,23 unequal: No Solution
Exploring Operation: 13*10=130, Resulting Numbers: [130]
130,23 unequal: No Solution
Exploring Operation: 13+10=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Moving to Node #0
Current State: 23:[74, 46, 56, 61], Operations: []
Exploring Operation: 74-61=13, Resulting Numbers: [46, 56, 13]
Generated Node #0,2: 23:[46, 56, 13] Operation: 74-61=13
Moving to Node #0,2
Current State: 23:[46, 56, 13], Operations: ['74-61=13']
Exploring Operation: 56-46=10, Resulting Numbers: [13, 10]
Generated Node #0,2,1: 23:[13, 10] Operation: 56-46=10
Moving to Node #0,2,1
Current State: 23:[13, 10], Operations: ['74-61=13', '56-46=10']
Exploring Operation: 13+10=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Exit Sub Search at level 1
| 0.967882 | hs_5 | mult_heuristic |
[
6,
63,
39,
81
] | 13 | [
"6*39=234",
"81-63=18",
"234/18=13"
] | Current State: 13:[6, 63, 39, 81], Operations: []
Exploring Operation: 6*39=234, Resulting Numbers: [63, 81, 234]
Generated Node #2: [63, 81, 234] from Operation: 6*39=234
Current State: 13:[63, 81, 234], Operations: ['6*39=234']
Exploring Operation: 81-63=18, Resulting Numbers: [234, 18]
Generated Node #3: [234, 18] from Operation: 81-63=18
Current State: 13:[234, 18], Operations: ['6*39=234', '81-63=18']
Exploring Operation: 234/18=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[6, 63, 39, 81], Operations: []
Exploring Operation: 63-39=24, Resulting Numbers: [6, 81, 24]
Generated Node #0,0: 13:[6, 81, 24] Operation: 63-39=24
Exploring Operation: 81-63=18, Resulting Numbers: [6, 39, 18]
Generated Node #0,1: 13:[6, 39, 18] Operation: 81-63=18
Start Sub Search at level 1: Moving to Node #0,1
Current State: 13:[6, 39, 18], Operations: ['81-63=18']
Exploring Operation: 39-6=33, Resulting Numbers: [18, 33]
Generated Node #0,1,0: 13:[18, 33] Operation: 39-6=33
Exploring Operation: 39-18=21, Resulting Numbers: [6, 21]
Generated Node #0,1,1: 13:[6, 21] Operation: 39-18=21
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 13:[6, 21], Operations: ['81-63=18', '39-18=21']
Exploring Operation: 6+21=27, Resulting Numbers: [27]
27,13 unequal: No Solution
Exploring Operation: 21-6=15, Resulting Numbers: [15]
15,13 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: 13:[18, 33], Operations: ['81-63=18', '39-6=33']
Exploring Operation: 18+33=51, Resulting Numbers: [51]
51,13 unequal: No Solution
Exploring Operation: 33-18=15, Resulting Numbers: [15]
15,13 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: 13:[6, 81, 24], Operations: ['63-39=24']
Exploring Operation: 81-24=57, Resulting Numbers: [6, 57]
Generated Node #0,0,0: 13:[6, 57] Operation: 81-24=57
Exploring Operation: 81-6=75, Resulting Numbers: [24, 75]
Generated Node #0,0,1: 13:[24, 75] Operation: 81-6=75
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 13:[6, 57], Operations: ['63-39=24', '81-24=57']
Exploring Operation: 6+57=63, Resulting Numbers: [63]
63,13 unequal: No Solution
Exploring Operation: 57-6=51, Resulting Numbers: [51]
51,13 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: 13:[24, 75], Operations: ['63-39=24', '81-6=75']
Exploring Operation: 75-24=51, Resulting Numbers: [51]
51,13 unequal: No Solution
Exploring Operation: 24+75=99, Resulting Numbers: [99]
99,13 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 |
[
16,
92,
38,
92
] | 23 | [
"38-16=22",
"92/92=1",
"22+1=23"
] | Current State: 23:[16, 92, 38, 92], Operations: []
Exploring Operation: 38-16=22, Resulting Numbers: [92, 92, 22]
Generated Node #2: [92, 92, 22] from Operation: 38-16=22
Current State: 23:[92, 92, 22], Operations: ['38-16=22']
Exploring Operation: 92/92=1, Resulting Numbers: [22, 1]
Generated Node #3: [22, 1] from Operation: 92/92=1
Current State: 23:[22, 1], Operations: ['38-16=22', '92/92=1']
Exploring Operation: 22+1=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[16, 92, 38, 92], Operations: []
Exploring Operation: 92-38=54, Resulting Numbers: [16, 92, 54]
Generated Node #0,0: 23:[16, 92, 54] Operation: 92-38=54
Exploring Operation: 92/92=1, Resulting Numbers: [16, 38, 1]
Generated Node #0,1: 23:[16, 38, 1] Operation: 92/92=1
Exploring Operation: 92-16=76, Resulting Numbers: [38, 92, 76]
Generated Node #0,2: 23:[38, 92, 76] Operation: 92-16=76
Exploring Operation: 92-38=54, Resulting Numbers: [16, 92, 54]
Generated Node #0,3: 23:[16, 92, 54] Operation: 92-38=54
Exploring Operation: 92-92=0, Resulting Numbers: [16, 38, 0]
Generated Node #0,4: 23:[16, 38, 0] Operation: 92-92=0
Start Sub Search at level 1: Moving to Node #0,1
Current State: 23:[16, 38, 1], Operations: ['92/92=1']
Exploring Operation: 16+1=17, Resulting Numbers: [38, 17]
Generated Node #0,1,0: 23:[38, 17] Operation: 16+1=17
Exploring Operation: 38*1=38, Resulting Numbers: [16, 38]
Generated Node #0,1,1: 23:[16, 38] Operation: 38*1=38
Exploring Operation: 16/1=16, Resulting Numbers: [38, 16]
Generated Node #0,1,2: 23:[38, 16] Operation: 16/1=16
Exploring Operation: 16*1=16, Resulting Numbers: [38, 16]
Generated Node #0,1,3: 23:[38, 16] Operation: 16*1=16
Exploring Operation: 38-1=37, Resulting Numbers: [16, 37]
Generated Node #0,1,4: 23:[16, 37] Operation: 38-1=37
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 23:[38, 17], Operations: ['92/92=1', '16+1=17']
Exploring Operation: 38*17=646, Resulting Numbers: [646]
646,23 unequal: No Solution
Exploring Operation: 38-17=21, Resulting Numbers: [21]
21,23 unequal: No Solution
Exploring Operation: 38+17=55, Resulting Numbers: [55]
55,23 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 23:[16, 37], Operations: ['92/92=1', '38-1=37']
Exploring Operation: 37-16=21, Resulting Numbers: [21]
21,23 unequal: No Solution
Exploring Operation: 16+37=53, Resulting Numbers: [53]
53,23 unequal: No Solution
Exploring Operation: 16*37=592, Resulting Numbers: [592]
592,23 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: 23:[16, 38], Operations: ['92/92=1', '38*1=38']
Exploring Operation: 16*38=608, Resulting Numbers: [608]
608,23 unequal: No Solution
Exploring Operation: 16+38=54, Resulting Numbers: [54]
54,23 unequal: No Solution
Exploring Operation: 38-16=22, Resulting Numbers: [22]
22,23 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: 23:[38, 16], Operations: ['92/92=1', '16/1=16']
Exploring Operation: 38*16=608, Resulting Numbers: [608]
608,23 unequal: No Solution
Exploring Operation: 38+16=54, Resulting Numbers: [54]
54,23 unequal: No Solution
Exploring Operation: 38-16=22, Resulting Numbers: [22]
22,23 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: 23:[38, 16], Operations: ['92/92=1', '16*1=16']
Exploring Operation: 38*16=608, Resulting Numbers: [608]
608,23 unequal: No Solution
Exploring Operation: 38+16=54, Resulting Numbers: [54]
54,23 unequal: No Solution
Exploring Operation: 38-16=22, Resulting Numbers: [22]
22,23 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: 23:[16, 38, 0], Operations: ['92-92=0']
Exploring Operation: 38-16=22, Resulting Numbers: [0, 22]
Generated Node #0,4,0: 23:[0, 22] Operation: 38-16=22
Exploring Operation: 38-0=38, Resulting Numbers: [16, 38]
Generated Node #0,4,1: 23:[16, 38] Operation: 38-0=38
Exploring Operation: 38+0=38, Resulting Numbers: [16, 38]
Generated Node #0,4,2: 23:[16, 38] Operation: 38+0=38
Exploring Operation: 16+0=16, Resulting Numbers: [38, 16]
Generated Node #0,4,3: 23:[38, 16] Operation: 16+0=16
Exploring Operation: 16-0=16, Resulting Numbers: [38, 16]
Generated Node #0,4,4: 23:[38, 16] Operation: 16-0=16
Moving to Node #0,4,1
Current State: 23:[16, 38], Operations: ['92-92=0', '38-0=38']
Exploring Operation: 16*38=608, Resulting Numbers: [608]
608,23 unequal: No Solution
Exploring Operation: 16+38=54, Resulting Numbers: [54]
54,23 unequal: No Solution
Exploring Operation: 38-16=22, Resulting Numbers: [22]
22,23 unequal: No Solution
Moving to Node #0,4,3
Current State: 23:[38, 16], Operations: ['92-92=0', '16+0=16']
Exploring Operation: 38*16=608, Resulting Numbers: [608]
608,23 unequal: No Solution
Exploring Operation: 38-16=22, Resulting Numbers: [22]
22,23 unequal: No Solution
Exploring Operation: 38+16=54, Resulting Numbers: [54]
54,23 unequal: No Solution
Moving to Node #0,4,2
Current State: 23:[16, 38], Operations: ['92-92=0', '38+0=38']
Exploring Operation: 38-16=22, Resulting Numbers: [22]
22,23 unequal: No Solution
Exploring Operation: 16*38=608, Resulting Numbers: [608]
608,23 unequal: No Solution
Exploring Operation: 16+38=54, Resulting Numbers: [54]
54,23 unequal: No Solution
Moving to Node #0,4,4
Current State: 23:[38, 16], Operations: ['92-92=0', '16-0=16']
Exploring Operation: 38+16=54, Resulting Numbers: [54]
54,23 unequal: No Solution
Exploring Operation: 38-16=22, Resulting Numbers: [22]
22,23 unequal: No Solution
Exploring Operation: 38*16=608, Resulting Numbers: [608]
608,23 unequal: No Solution
Moving to Node #0,4,0
Current State: 23:[0, 22], Operations: ['92-92=0', '38-16=22']
Exploring Operation: 0*22=0, Resulting Numbers: [0]
0,23 unequal: No Solution
Exploring Operation: 0+22=22, Resulting Numbers: [22]
22,23 unequal: No Solution
Exploring Operation: 22-0=22, Resulting Numbers: [22]
22,23 unequal: No Solution
No 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: 23:[16, 92, 54], Operations: ['92-38=54']
Exploring Operation: 16+92=108, Resulting Numbers: [54, 108]
Generated Node #0,0,0: 23:[54, 108] Operation: 16+92=108
Exploring Operation: 16+54=70, Resulting Numbers: [92, 70]
Generated Node #0,0,1: 23:[92, 70] Operation: 16+54=70
Exploring Operation: 92-16=76, Resulting Numbers: [54, 76]
Generated Node #0,0,2: 23:[54, 76] Operation: 92-16=76
Exploring Operation: 92-54=38, Resulting Numbers: [16, 38]
Generated Node #0,0,3: 23:[16, 38] Operation: 92-54=38
Exploring Operation: 54-16=38, Resulting Numbers: [92, 38]
Generated Node #0,0,4: 23:[92, 38] Operation: 54-16=38
Moving to Node #0,0,3
Current State: 23:[16, 38], Operations: ['92-38=54', '92-54=38']
Exploring Operation: 16+38=54, Resulting Numbers: [54]
54,23 unequal: No Solution
Exploring Operation: 16*38=608, Resulting Numbers: [608]
608,23 unequal: No Solution
Exploring Operation: 38-16=22, Resulting Numbers: [22]
22,23 unequal: No Solution
Moving to Node #0,0,4
Current State: 23:[92, 38], Operations: ['92-38=54', '54-16=38']
Exploring Operation: 92+38=130, Resulting Numbers: [130]
130,23 unequal: No Solution
Exploring Operation: 92-38=54, Resulting Numbers: [54]
54,23 unequal: No Solution
Exploring Operation: 92*38=3496, Resulting Numbers: [3496]
3496,23 unequal: No Solution
Moving to Node #0,0,2
Current State: 23:[54, 76], Operations: ['92-38=54', '92-16=76']
Exploring Operation: 76-54=22, Resulting Numbers: [22]
22,23 unequal: No Solution
Exploring Operation: 54*76=4104, Resulting Numbers: [4104]
4104,23 unequal: No Solution
Exploring Operation: 54+76=130, Resulting Numbers: [130]
130,23 unequal: No Solution
Moving to Node #0,0,0
Current State: 23:[54, 108], Operations: ['92-38=54', '16+92=108']
Exploring Operation: 54+108=162, Resulting Numbers: [162]
162,23 unequal: No Solution
Exploring Operation: 54*108=5832, Resulting Numbers: [5832]
5832,23 unequal: No Solution
Exploring Operation: 108/54=2, Resulting Numbers: [2]
2,23 unequal: No Solution
Exploring Operation: 108-54=54, Resulting Numbers: [54]
54,23 unequal: No Solution
Moving to Node #0,0,1
Current State: 23:[92, 70], Operations: ['92-38=54', '16+54=70']
Exploring Operation: 92*70=6440, Resulting Numbers: [6440]
6440,23 unequal: No Solution
Exploring Operation: 92+70=162, Resulting Numbers: [162]
162,23 unequal: No Solution
Exploring Operation: 92-70=22, Resulting Numbers: [22]
22,23 unequal: No Solution
No 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: 23:[16, 92, 54], Operations: ['92-38=54']
Exploring Operation: 92-54=38, Resulting Numbers: [16, 38]
Generated Node #0,3,0: 23:[16, 38] Operation: 92-54=38
Exploring Operation: 54-16=38, Resulting Numbers: [92, 38]
Generated Node #0,3,1: 23:[92, 38] Operation: 54-16=38
Exploring Operation: 16+54=70, Resulting Numbers: [92, 70]
Generated Node #0,3,2: 23:[92, 70] Operation: 16+54=70
Exploring Operation: 16+92=108, Resulting Numbers: [54, 108]
Generated Node #0,3,3: 23:[54, 108] Operation: 16+92=108
Exploring Operation: 92-16=76, Resulting Numbers: [54, 76]
Generated Node #0,3,4: 23:[54, 76] Operation: 92-16=76
Moving to Node #0,3,0
Current State: 23:[16, 38], Operations: ['92-38=54', '92-54=38']
Exploring Operation: 38-16=22, Resulting Numbers: [22]
22,23 unequal: No Solution
Exploring Operation: 16*38=608, Resulting Numbers: [608]
608,23 unequal: No Solution
Exploring Operation: 16+38=54, Resulting Numbers: [54]
54,23 unequal: No Solution
Moving to Node #0,3,4
Current State: 23:[54, 76], Operations: ['92-38=54', '92-16=76']
Exploring Operation: 54+76=130, Resulting Numbers: [130]
130,23 unequal: No Solution
Exploring Operation: 54*76=4104, Resulting Numbers: [4104]
4104,23 unequal: No Solution
Exploring Operation: 76-54=22, Resulting Numbers: [22]
22,23 unequal: No Solution
Moving to Node #0,3,1
Current State: 23:[92, 38], Operations: ['92-38=54', '54-16=38']
Exploring Operation: 92*38=3496, Resulting Numbers: [3496]
3496,23 unequal: No Solution
Exploring Operation: 92-38=54, Resulting Numbers: [54]
54,23 unequal: No Solution
Exploring Operation: 92+38=130, Resulting Numbers: [130]
130,23 unequal: No Solution
Moving to Node #0,3,2
Current State: 23:[92, 70], Operations: ['92-38=54', '16+54=70']
Exploring Operation: 92-70=22, Resulting Numbers: [22]
22,23 unequal: No Solution
Exploring Operation: 92*70=6440, Resulting Numbers: [6440]
6440,23 unequal: No Solution
Exploring Operation: 92+70=162, Resulting Numbers: [162]
162,23 unequal: No Solution
Moving to Node #0,3,3
Current State: 23:[54, 108], Operations: ['92-38=54', '16+92=108']
Exploring Operation: 108/54=2, Resulting Numbers: [2]
2,23 unequal: No Solution
Exploring Operation: 108-54=54, Resulting Numbers: [54]
54,23 unequal: No Solution
Exploring Operation: 54+108=162, Resulting Numbers: [162]
162,23 unequal: No Solution
Exploring Operation: 54*108=5832, Resulting Numbers: [5832]
5832,23 unequal: No Solution
No 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: 23:[38, 92, 76], Operations: ['92-16=76']
Exploring Operation: 92-38=54, Resulting Numbers: [76, 54]
Generated Node #0,2,0: 23:[76, 54] Operation: 92-38=54
Exploring Operation: 76/38=2, Resulting Numbers: [92, 2]
Generated Node #0,2,1: 23:[92, 2] Operation: 76/38=2
Exploring Operation: 76-38=38, Resulting Numbers: [92, 38]
Generated Node #0,2,2: 23:[92, 38] Operation: 76-38=38
Exploring Operation: 38+92=130, Resulting Numbers: [76, 130]
Generated Node #0,2,3: 23:[76, 130] Operation: 38+92=130
Exploring Operation: 92-76=16, Resulting Numbers: [38, 16]
Generated Node #0,2,4: 23:[38, 16] Operation: 92-76=16
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 23:[38, 16], Operations: ['92-16=76', '92-76=16']
Exploring Operation: 38+16=54, Resulting Numbers: [54]
54,23 unequal: No Solution
Exploring Operation: 38-16=22, Resulting Numbers: [22]
22,23 unequal: No Solution
Exploring Operation: 38*16=608, Resulting Numbers: [608]
608,23 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: 23:[76, 54], Operations: ['92-16=76', '92-38=54']
Exploring Operation: 76*54=4104, Resulting Numbers: [4104]
4104,23 unequal: No Solution
Exploring Operation: 76-54=22, Resulting Numbers: [22]
22,23 unequal: No Solution
Exploring Operation: 76+54=130, Resulting Numbers: [130]
130,23 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: 23:[92, 38], Operations: ['92-16=76', '76-38=38']
Exploring Operation: 92+38=130, Resulting Numbers: [130]
130,23 unequal: No Solution
Exploring Operation: 92-38=54, Resulting Numbers: [54]
54,23 unequal: No Solution
Exploring Operation: 92*38=3496, Resulting Numbers: [3496]
3496,23 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: 23:[92, 2], Operations: ['92-16=76', '76/38=2']
Exploring Operation: 92*2=184, Resulting Numbers: [184]
184,23 unequal: No Solution
Exploring Operation: 92-2=90, Resulting Numbers: [90]
90,23 unequal: No Solution
Exploring Operation: 92+2=94, Resulting Numbers: [94]
94,23 unequal: No Solution
Exploring Operation: 92/2=46, Resulting Numbers: [46]
46,23 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: 23:[76, 130], Operations: ['92-16=76', '38+92=130']
Exploring Operation: 130-76=54, Resulting Numbers: [54]
54,23 unequal: No Solution
Exploring Operation: 76+130=206, Resulting Numbers: [206]
206,23 unequal: No Solution
Exploring Operation: 76*130=9880, Resulting Numbers: [9880]
9880,23 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
84,
6,
32,
22
] | 86 | [
"84+22=106",
"6*32=192",
"192-106=86"
] | Current State: 86:[84, 6, 32, 22], Operations: []
Exploring Operation: 84+22=106, Resulting Numbers: [6, 32, 106]
Generated Node #2: [6, 32, 106] from Operation: 84+22=106
Current State: 86:[6, 32, 106], Operations: ['84+22=106']
Exploring Operation: 6*32=192, Resulting Numbers: [106, 192]
Generated Node #3: [106, 192] from Operation: 6*32=192
Current State: 86:[106, 192], Operations: ['84+22=106', '6*32=192']
Exploring Operation: 192-106=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[84, 6, 32, 22], Operations: []
Exploring Operation: 32-22=10, Resulting Numbers: [84, 6, 10]
Generated Node #0,0: 86:[84, 6, 10] Operation: 32-22=10
Exploring Operation: 32+22=54, Resulting Numbers: [84, 6, 54]
Generated Node #0,1: 86:[84, 6, 54] Operation: 32+22=54
Exploring Operation: 6+32=38, Resulting Numbers: [84, 22, 38]
Generated Node #0,2: 86:[84, 22, 38] Operation: 6+32=38
Exploring Operation: 22-6=16, Resulting Numbers: [84, 32, 16]
Generated Node #0,3: 86:[84, 32, 16] Operation: 22-6=16
Moving to Node #0,0
Current State: 86:[84, 6, 10], Operations: ['32-22=10']
Exploring Operation: 10-6=4, Resulting Numbers: [84, 4]
Generated Node #0,0,0: 86:[84, 4] Operation: 10-6=4
Exploring Operation: 84+10=94, Resulting Numbers: [6, 94]
Generated Node #0,0,1: 86:[6, 94] Operation: 84+10=94
Exploring Operation: 84+6=90, Resulting Numbers: [10, 90]
Generated Node #0,0,2: 86:[10, 90] Operation: 84+6=90
Exploring Operation: 84-6=78, Resulting Numbers: [10, 78]
Generated Node #0,0,3: 86:[10, 78] Operation: 84-6=78
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 86:[84, 4], Operations: ['32-22=10', '10-6=4']
Exploring Operation: 84/4=21, Resulting Numbers: [21]
21,86 unequal: No Solution
Exploring Operation: 84-4=80, Resulting Numbers: [80]
80,86 unequal: No Solution
Exploring Operation: 84*4=336, Resulting Numbers: [336]
336,86 unequal: No Solution
Exploring Operation: 84+4=88, Resulting Numbers: [88]
88,86 unequal: No Solution
No 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: 86:[6, 94], Operations: ['32-22=10', '84+10=94']
Exploring Operation: 6+94=100, Resulting Numbers: [100]
100,86 unequal: No Solution
Exploring Operation: 94-6=88, Resulting Numbers: [88]
88,86 unequal: No Solution
Exploring Operation: 6*94=564, Resulting Numbers: [564]
564,86 unequal: No Solution
No 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: 86:[10, 90], Operations: ['32-22=10', '84+6=90']
Exploring Operation: 90/10=9, Resulting Numbers: [9]
9,86 unequal: No Solution
Exploring Operation: 90-10=80, Resulting Numbers: [80]
80,86 unequal: No Solution
Exploring Operation: 10+90=100, Resulting Numbers: [100]
100,86 unequal: No Solution
Exploring Operation: 10*90=900, Resulting Numbers: [900]
900,86 unequal: No Solution
No 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: 86:[10, 78], Operations: ['32-22=10', '84-6=78']
Exploring Operation: 10*78=780, Resulting Numbers: [780]
780,86 unequal: No Solution
Exploring Operation: 10+78=88, Resulting Numbers: [88]
88,86 unequal: No Solution
Exploring Operation: 78-10=68, Resulting Numbers: [68]
68,86 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: 86:[84, 6, 54], Operations: ['32+22=54']
Exploring Operation: 54-6=48, Resulting Numbers: [84, 48]
Generated Node #0,1,0: 86:[84, 48] Operation: 54-6=48
Exploring Operation: 84+6=90, Resulting Numbers: [54, 90]
Generated Node #0,1,1: 86:[54, 90] Operation: 84+6=90
Exploring Operation: 84-54=30, Resulting Numbers: [6, 30]
Generated Node #0,1,2: 86:[6, 30] Operation: 84-54=30
Exploring Operation: 54/6=9, Resulting Numbers: [84, 9]
Generated Node #0,1,3: 86:[84, 9] Operation: 54/6=9
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 86:[84, 48], Operations: ['32+22=54', '54-6=48']
Exploring Operation: 84-48=36, Resulting Numbers: [36]
36,86 unequal: No Solution
Exploring Operation: 84*48=4032, Resulting Numbers: [4032]
4032,86 unequal: No Solution
Exploring Operation: 84+48=132, Resulting Numbers: [132]
132,86 unequal: No Solution
No 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: 86:[84, 9], Operations: ['32+22=54', '54/6=9']
Exploring Operation: 84+9=93, Resulting Numbers: [93]
93,86 unequal: No Solution
Exploring Operation: 84*9=756, Resulting Numbers: [756]
756,86 unequal: No Solution
Exploring Operation: 84-9=75, Resulting Numbers: [75]
75,86 unequal: No Solution
No 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: 86:[54, 90], Operations: ['32+22=54', '84+6=90']
Exploring Operation: 54*90=4860, Resulting Numbers: [4860]
4860,86 unequal: No Solution
Exploring Operation: 90-54=36, Resulting Numbers: [36]
36,86 unequal: No Solution
Exploring Operation: 54+90=144, Resulting Numbers: [144]
144,86 unequal: No Solution
No 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: 86:[6, 30], Operations: ['32+22=54', '84-54=30']
Exploring Operation: 6+30=36, Resulting Numbers: [36]
36,86 unequal: No Solution
Exploring Operation: 30/6=5, Resulting Numbers: [5]
5,86 unequal: No Solution
Exploring Operation: 30-6=24, Resulting Numbers: [24]
24,86 unequal: No Solution
Exploring Operation: 6*30=180, Resulting Numbers: [180]
180,86 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: 86:[84, 32, 16], Operations: ['22-6=16']
Exploring Operation: 32/16=2, Resulting Numbers: [84, 2]
Generated Node #0,3,0: 86:[84, 2] Operation: 32/16=2
Exploring Operation: 84-32=52, Resulting Numbers: [16, 52]
Generated Node #0,3,1: 86:[16, 52] Operation: 84-32=52
Exploring Operation: 32+16=48, Resulting Numbers: [84, 48]
Generated Node #0,3,2: 86:[84, 48] Operation: 32+16=48
Exploring Operation: 32-16=16, Resulting Numbers: [84, 16]
Generated Node #0,3,3: 86:[84, 16] Operation: 32-16=16
Moving to Node #0,2
Current State: 86:[84, 22, 38], Operations: ['6+32=38']
Exploring Operation: 38-22=16, Resulting Numbers: [84, 16]
Generated Node #0,2,0: 86:[84, 16] Operation: 38-22=16
Exploring Operation: 84-38=46, Resulting Numbers: [22, 46]
Generated Node #0,2,1: 86:[22, 46] Operation: 84-38=46
Exploring Operation: 22+38=60, Resulting Numbers: [84, 60]
Generated Node #0,2,2: 86:[84, 60] Operation: 22+38=60
Exploring Operation: 84-22=62, Resulting Numbers: [38, 62]
Generated Node #0,2,3: 86:[38, 62] Operation: 84-22=62
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 86:[84, 16], Operations: ['6+32=38', '38-22=16']
Exploring Operation: 84-16=68, Resulting Numbers: [68]
68,86 unequal: No Solution
Exploring Operation: 84*16=1344, Resulting Numbers: [1344]
1344,86 unequal: No Solution
Exploring Operation: 84+16=100, Resulting Numbers: [100]
100,86 unequal: No Solution
No 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: 86:[84, 60], Operations: ['6+32=38', '22+38=60']
Exploring Operation: 84+60=144, Resulting Numbers: [144]
144,86 unequal: No Solution
Exploring Operation: 84*60=5040, Resulting Numbers: [5040]
5040,86 unequal: No Solution
Exploring Operation: 84-60=24, Resulting Numbers: [24]
24,86 unequal: No Solution
No 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: 86:[22, 46], Operations: ['6+32=38', '84-38=46']
Exploring Operation: 22*46=1012, Resulting Numbers: [1012]
1012,86 unequal: No Solution
Exploring Operation: 46-22=24, Resulting Numbers: [24]
24,86 unequal: No Solution
Exploring Operation: 22+46=68, Resulting Numbers: [68]
68,86 unequal: No Solution
No 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: 86:[38, 62], Operations: ['6+32=38', '84-22=62']
Exploring Operation: 38*62=2356, Resulting Numbers: [2356]
2356,86 unequal: No Solution
Exploring Operation: 38+62=100, Resulting Numbers: [100]
100,86 unequal: No Solution
Exploring Operation: 62-38=24, Resulting Numbers: [24]
24,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,0
Current State: 86:[84, 2], Operations: ['22-6=16', '32/16=2']
Exploring Operation: 84-2=82, Resulting Numbers: [82]
82,86 unequal: No Solution
Exploring Operation: 84*2=168, Resulting Numbers: [168]
168,86 unequal: No Solution
Exploring Operation: 84/2=42, Resulting Numbers: [42]
42,86 unequal: No Solution
Exploring Operation: 84+2=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Moving to Node #0
Current State: 86:[84, 6, 32, 22], Operations: []
Exploring Operation: 22-6=16, Resulting Numbers: [84, 32, 16]
Generated Node #0,3: 86:[84, 32, 16] Operation: 22-6=16
Moving to Node #0,3
Current State: 86:[84, 32, 16], Operations: ['22-6=16']
Exploring Operation: 32/16=2, Resulting Numbers: [84, 2]
Generated Node #0,3,0: 86:[84, 2] Operation: 32/16=2
Moving to Node #0,3,0
Current State: 86:[84, 2], Operations: ['22-6=16', '32/16=2']
Exploring Operation: 84+2=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 0.94184 | hs_4 | mult_heuristic |
[
42,
63,
32,
40
] | 94 | [
"42-40=2",
"63*2=126",
"126-32=94"
] | Current State: 94:[42, 63, 32, 40], Operations: []
Exploring Operation: 42-40=2, Resulting Numbers: [63, 32, 2]
Generated Node #2: [63, 32, 2] from Operation: 42-40=2
Current State: 94:[63, 32, 2], Operations: ['42-40=2']
Exploring Operation: 63*2=126, Resulting Numbers: [32, 126]
Generated Node #3: [32, 126] from Operation: 63*2=126
Current State: 94:[32, 126], Operations: ['42-40=2', '63*2=126']
Exploring Operation: 126-32=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[42, 63, 32, 40], Operations: []
Exploring Operation: 42-32=10, Resulting Numbers: [63, 40, 10]
Generated Node #0,0: 94:[63, 40, 10] Operation: 42-32=10
Exploring Operation: 63+40=103, Resulting Numbers: [42, 32, 103]
Generated Node #0,1: 94:[42, 32, 103] Operation: 63+40=103
Exploring Operation: 63-32=31, Resulting Numbers: [42, 40, 31]
Generated Node #0,2: 94:[42, 40, 31] Operation: 63-32=31
Exploring Operation: 63+32=95, Resulting Numbers: [42, 40, 95]
Generated Node #0,3: 94:[42, 40, 95] Operation: 63+32=95
Exploring Operation: 40-32=8, Resulting Numbers: [42, 63, 8]
Generated Node #0,4: 94:[42, 63, 8] Operation: 40-32=8
Moving to Node #0,3
Current State: 94:[42, 40, 95], Operations: ['63+32=95']
Exploring Operation: 95-42=53, Resulting Numbers: [40, 53]
Generated Node #0,3,0: 94:[40, 53] Operation: 95-42=53
Exploring Operation: 42-40=2, Resulting Numbers: [95, 2]
Generated Node #0,3,1: 94:[95, 2] Operation: 42-40=2
Exploring Operation: 42+40=82, Resulting Numbers: [95, 82]
Generated Node #0,3,2: 94:[95, 82] Operation: 42+40=82
Exploring Operation: 95-40=55, Resulting Numbers: [42, 55]
Generated Node #0,3,3: 94:[42, 55] Operation: 95-40=55
Exploring Operation: 40+95=135, Resulting Numbers: [42, 135]
Generated Node #0,3,4: 94:[42, 135] Operation: 40+95=135
Moving to Node #0,4
Current State: 94:[42, 63, 8], Operations: ['40-32=8']
Exploring Operation: 63-42=21, Resulting Numbers: [8, 21]
Generated Node #0,4,0: 94:[8, 21] Operation: 63-42=21
Exploring Operation: 42+63=105, Resulting Numbers: [8, 105]
Generated Node #0,4,1: 94:[8, 105] Operation: 42+63=105
Exploring Operation: 63-8=55, Resulting Numbers: [42, 55]
Generated Node #0,4,2: 94:[42, 55] Operation: 63-8=55
Exploring Operation: 63+8=71, Resulting Numbers: [42, 71]
Generated Node #0,4,3: 94:[42, 71] Operation: 63+8=71
Exploring Operation: 42+8=50, Resulting Numbers: [63, 50]
Generated Node #0,4,4: 94:[63, 50] Operation: 42+8=50
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 94:[42, 55], Operations: ['40-32=8', '63-8=55']
Exploring Operation: 42+55=97, Resulting Numbers: [97]
97,94 unequal: No Solution
Exploring Operation: 42*55=2310, Resulting Numbers: [2310]
2310,94 unequal: No Solution
Exploring Operation: 55-42=13, Resulting Numbers: [13]
13,94 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:[8, 105], Operations: ['40-32=8', '42+63=105']
Exploring Operation: 105-8=97, Resulting Numbers: [97]
97,94 unequal: No Solution
Exploring Operation: 8*105=840, Resulting Numbers: [840]
840,94 unequal: No Solution
Exploring Operation: 8+105=113, Resulting Numbers: [113]
113,94 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:[63, 50], Operations: ['40-32=8', '42+8=50']
Exploring Operation: 63*50=3150, Resulting Numbers: [3150]
3150,94 unequal: No Solution
Exploring Operation: 63+50=113, Resulting Numbers: [113]
113,94 unequal: No Solution
Exploring Operation: 63-50=13, Resulting Numbers: [13]
13,94 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 #0,4,0
Current State: 94:[8, 21], Operations: ['40-32=8', '63-42=21']
Exploring Operation: 8*21=168, Resulting Numbers: [168]
168,94 unequal: No Solution
Exploring Operation: 21-8=13, Resulting Numbers: [13]
13,94 unequal: No Solution
Exploring Operation: 8+21=29, Resulting Numbers: [29]
29,94 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:[42, 71], Operations: ['40-32=8', '63+8=71']
Exploring Operation: 71-42=29, Resulting Numbers: [29]
29,94 unequal: No Solution
Exploring Operation: 42*71=2982, Resulting Numbers: [2982]
2982,94 unequal: No Solution
Exploring Operation: 42+71=113, Resulting Numbers: [113]
113,94 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:[42, 40, 31], Operations: ['63-32=31']
Exploring Operation: 42-31=11, Resulting Numbers: [40, 11]
Generated Node #0,2,0: 94:[40, 11] Operation: 42-31=11
Exploring Operation: 40-31=9, Resulting Numbers: [42, 9]
Generated Node #0,2,1: 94:[42, 9] Operation: 40-31=9
Exploring Operation: 42+31=73, Resulting Numbers: [40, 73]
Generated Node #0,2,2: 94:[40, 73] Operation: 42+31=73
Exploring Operation: 42+40=82, Resulting Numbers: [31, 82]
Generated Node #0,2,3: 94:[31, 82] Operation: 42+40=82
Exploring Operation: 42-40=2, Resulting Numbers: [31, 2]
Generated Node #0,2,4: 94:[31, 2] Operation: 42-40=2
Moving to Node #0,1
Current State: 94:[42, 32, 103], Operations: ['63+40=103']
Exploring Operation: 32+103=135, Resulting Numbers: [42, 135]
Generated Node #0,1,0: 94:[42, 135] Operation: 32+103=135
Exploring Operation: 42-32=10, Resulting Numbers: [103, 10]
Generated Node #0,1,1: 94:[103, 10] Operation: 42-32=10
Exploring Operation: 103-32=71, Resulting Numbers: [42, 71]
Generated Node #0,1,2: 94:[42, 71] Operation: 103-32=71
Exploring Operation: 103-42=61, Resulting Numbers: [32, 61]
Generated Node #0,1,3: 94:[32, 61] Operation: 103-42=61
Exploring Operation: 42+32=74, Resulting Numbers: [103, 74]
Generated Node #0,1,4: 94:[103, 74] Operation: 42+32=74
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 94:[103, 10], Operations: ['63+40=103', '42-32=10']
Exploring Operation: 103+10=113, Resulting Numbers: [113]
113,94 unequal: No Solution
Exploring Operation: 103-10=93, Resulting Numbers: [93]
93,94 unequal: No Solution
Exploring Operation: 103*10=1030, Resulting Numbers: [1030]
1030,94 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 #0,1,2
Current State: 94:[42, 71], Operations: ['63+40=103', '103-32=71']
Exploring Operation: 42+71=113, Resulting Numbers: [113]
113,94 unequal: No Solution
Exploring Operation: 42*71=2982, Resulting Numbers: [2982]
2982,94 unequal: No Solution
Exploring Operation: 71-42=29, Resulting Numbers: [29]
29,94 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 #0,1,3
Current State: 94:[32, 61], Operations: ['63+40=103', '103-42=61']
Exploring Operation: 61-32=29, Resulting Numbers: [29]
29,94 unequal: No Solution
Exploring Operation: 32+61=93, Resulting Numbers: [93]
93,94 unequal: No Solution
Exploring Operation: 32*61=1952, Resulting Numbers: [1952]
1952,94 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 #0,1,4
Current State: 94:[103, 74], Operations: ['63+40=103', '42+32=74']
Exploring Operation: 103+74=177, Resulting Numbers: [177]
177,94 unequal: No Solution
Exploring Operation: 103*74=7622, Resulting Numbers: [7622]
7622,94 unequal: No Solution
Exploring Operation: 103-74=29, Resulting Numbers: [29]
29,94 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:[42, 135], Operations: ['63+40=103', '32+103=135']
Exploring Operation: 135-42=93, Resulting Numbers: [93]
93,94 unequal: No Solution
Exploring Operation: 42*135=5670, Resulting Numbers: [5670]
5670,94 unequal: No Solution
Exploring Operation: 42+135=177, Resulting Numbers: [177]
177,94 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:[63, 40, 10], Operations: ['42-32=10']
Exploring Operation: 63+10=73, Resulting Numbers: [40, 73]
Generated Node #0,0,0: 94:[40, 73] Operation: 63+10=73
Exploring Operation: 40+10=50, Resulting Numbers: [63, 50]
Generated Node #0,0,1: 94:[63, 50] Operation: 40+10=50
Exploring Operation: 63+40=103, Resulting Numbers: [10, 103]
Generated Node #0,0,2: 94:[10, 103] Operation: 63+40=103
Exploring Operation: 63-10=53, Resulting Numbers: [40, 53]
Generated Node #0,0,3: 94:[40, 53] Operation: 63-10=53
Exploring Operation: 40/10=4, Resulting Numbers: [63, 4]
Generated Node #0,0,4: 94:[63, 4] Operation: 40/10=4
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 94:[40, 53], Operations: ['42-32=10', '63-10=53']
Exploring Operation: 53-40=13, Resulting Numbers: [13]
13,94 unequal: No Solution
Exploring Operation: 40+53=93, Resulting Numbers: [93]
93,94 unequal: No Solution
Exploring Operation: 40*53=2120, Resulting Numbers: [2120]
2120,94 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 #0,0,2
Current State: 94:[10, 103], Operations: ['42-32=10', '63+40=103']
Exploring Operation: 103-10=93, Resulting Numbers: [93]
93,94 unequal: No Solution
Exploring Operation: 10+103=113, Resulting Numbers: [113]
113,94 unequal: No Solution
Exploring Operation: 10*103=1030, Resulting Numbers: [1030]
1030,94 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 #0,0,4
Current State: 94:[63, 4], Operations: ['42-32=10', '40/10=4']
Exploring Operation: 63-4=59, Resulting Numbers: [59]
59,94 unequal: No Solution
Exploring Operation: 63*4=252, Resulting Numbers: [252]
252,94 unequal: No Solution
Exploring Operation: 63+4=67, Resulting Numbers: [67]
67,94 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 #0,0,1
Current State: 94:[63, 50], Operations: ['42-32=10', '40+10=50']
Exploring Operation: 63+50=113, Resulting Numbers: [113]
113,94 unequal: No Solution
Exploring Operation: 63-50=13, Resulting Numbers: [13]
13,94 unequal: No Solution
Exploring Operation: 63*50=3150, Resulting Numbers: [3150]
3150,94 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 #0,0,0
Current State: 94:[40, 73], Operations: ['42-32=10', '63+10=73']
Exploring Operation: 73-40=33, Resulting Numbers: [33]
33,94 unequal: No Solution
Exploring Operation: 40+73=113, Resulting Numbers: [113]
113,94 unequal: No Solution
Exploring Operation: 40*73=2920, Resulting Numbers: [2920]
2920,94 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: 94:[95, 2], Operations: ['63+32=95', '42-40=2']
Exploring Operation: 95-2=93, Resulting Numbers: [93]
93,94 unequal: No Solution
Exploring Operation: 95*2=190, Resulting Numbers: [190]
190,94 unequal: No Solution
Exploring Operation: 95+2=97, Resulting Numbers: [97]
97,94 unequal: No Solution
Moving to Node #0,2,1
Current State: 94:[42, 9], Operations: ['63-32=31', '40-31=9']
Exploring Operation: 42-9=33, Resulting Numbers: [33]
33,94 unequal: No Solution
Exploring Operation: 42+9=51, Resulting Numbers: [51]
51,94 unequal: No Solution
Exploring Operation: 42*9=378, Resulting Numbers: [378]
378,94 unequal: No Solution
Moving to Node #0,3,2
Current State: 94:[95, 82], Operations: ['63+32=95', '42+40=82']
Exploring Operation: 95-82=13, Resulting Numbers: [13]
13,94 unequal: No Solution
Exploring Operation: 95+82=177, Resulting Numbers: [177]
177,94 unequal: No Solution
Exploring Operation: 95*82=7790, Resulting Numbers: [7790]
7790,94 unequal: No Solution
Moving to Node #0,3,0
Current State: 94:[40, 53], Operations: ['63+32=95', '95-42=53']
Exploring Operation: 40*53=2120, Resulting Numbers: [2120]
2120,94 unequal: No Solution
Exploring Operation: 53-40=13, Resulting Numbers: [13]
13,94 unequal: No Solution
Exploring Operation: 40+53=93, Resulting Numbers: [93]
93,94 unequal: No Solution
Moving to Node #0,3,3
Current State: 94:[42, 55], Operations: ['63+32=95', '95-40=55']
Exploring Operation: 55-42=13, Resulting Numbers: [13]
13,94 unequal: No Solution
Exploring Operation: 42+55=97, Resulting Numbers: [97]
97,94 unequal: No Solution
Exploring Operation: 42*55=2310, Resulting Numbers: [2310]
2310,94 unequal: No Solution
Moving to Node #0,2,0
Current State: 94:[40, 11], Operations: ['63-32=31', '42-31=11']
Exploring Operation: 40-11=29, Resulting Numbers: [29]
29,94 unequal: No Solution
Exploring Operation: 40+11=51, Resulting Numbers: [51]
51,94 unequal: No Solution
Exploring Operation: 40*11=440, Resulting Numbers: [440]
440,94 unequal: No Solution
Moving to Node #0,2,4
Current State: 94:[31, 2], Operations: ['63-32=31', '42-40=2']
Exploring Operation: 31-2=29, Resulting Numbers: [29]
29,94 unequal: No Solution
Exploring Operation: 31*2=62, Resulting Numbers: [62]
62,94 unequal: No Solution
Exploring Operation: 31+2=33, Resulting Numbers: [33]
33,94 unequal: No Solution
Moving to Node #0,2,2
Current State: 94:[40, 73], Operations: ['63-32=31', '42+31=73']
Exploring Operation: 40+73=113, Resulting Numbers: [113]
113,94 unequal: No Solution
Exploring Operation: 40*73=2920, Resulting Numbers: [2920]
2920,94 unequal: No Solution
Exploring Operation: 73-40=33, Resulting Numbers: [33]
33,94 unequal: No Solution
Moving to Node #0,2,3
Current State: 94:[31, 82], Operations: ['63-32=31', '42+40=82']
Exploring Operation: 82-31=51, Resulting Numbers: [51]
51,94 unequal: No Solution
Exploring Operation: 31+82=113, Resulting Numbers: [113]
113,94 unequal: No Solution
Exploring Operation: 31*82=2542, Resulting Numbers: [2542]
2542,94 unequal: No Solution
Moving to Node #0,3,4
Current State: 94:[42, 135], Operations: ['63+32=95', '40+95=135']
Exploring Operation: 135-42=93, Resulting Numbers: [93]
93,94 unequal: No Solution
Exploring Operation: 42*135=5670, Resulting Numbers: [5670]
5670,94 unequal: No Solution
Exploring Operation: 42+135=177, Resulting Numbers: [177]
177,94 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
6,
61,
34,
3
] | 36 | [
"6+61=67",
"34-3=31",
"67-31=36"
] | Current State: 36:[6, 61, 34, 3], Operations: []
Exploring Operation: 6+61=67, Resulting Numbers: [34, 3, 67]
Generated Node #2: [34, 3, 67] from Operation: 6+61=67
Current State: 36:[34, 3, 67], Operations: ['6+61=67']
Exploring Operation: 34-3=31, Resulting Numbers: [67, 31]
Generated Node #3: [67, 31] from Operation: 34-3=31
Current State: 36:[67, 31], Operations: ['6+61=67', '34-3=31']
Exploring Operation: 67-31=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[6, 61, 34, 3], Operations: []
Exploring Operation: 61-34=27, Resulting Numbers: [6, 3, 27]
Generated Node #0,0: 36:[6, 3, 27] Operation: 61-34=27
Exploring Operation: 61-6=55, Resulting Numbers: [34, 3, 55]
Generated Node #0,1: 36:[34, 3, 55] Operation: 61-6=55
Start Sub Search at level 1: Moving to Node #0,0
Current State: 36:[6, 3, 27], Operations: ['61-34=27']
Exploring Operation: 6+27=33, Resulting Numbers: [3, 33]
Generated Node #0,0,0: 36:[3, 33] Operation: 6+27=33
Exploring Operation: 27/3=9, Resulting Numbers: [6, 9]
Generated Node #0,0,1: 36:[6, 9] Operation: 27/3=9
Moving to Node #0,0,1
Current State: 36:[6, 9], Operations: ['61-34=27', '27/3=9']
Exploring Operation: 9-6=3, Resulting Numbers: [3]
3,36 unequal: No Solution
Exploring Operation: 6+9=15, Resulting Numbers: [15]
15,36 unequal: No Solution
Moving to Node #0,0,0
Current State: 36:[3, 33], Operations: ['61-34=27', '6+27=33']
Exploring Operation: 3+33=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Moving to Node #0
Current State: 36:[6, 61, 34, 3], Operations: []
Exploring Operation: 61-34=27, Resulting Numbers: [6, 3, 27]
Generated Node #0,0: 36:[6, 3, 27] Operation: 61-34=27
Moving to Node #0,0
Current State: 36:[6, 3, 27], Operations: ['61-34=27']
Exploring Operation: 6+27=33, Resulting Numbers: [3, 33]
Generated Node #0,0,0: 36:[3, 33] Operation: 6+27=33
Moving to Node #0,0,0
Current State: 36:[3, 33], Operations: ['61-34=27', '6+27=33']
Exploring Operation: 3+33=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_2 | mult_heuristic |
[
94,
37,
47,
35
] | 39 | [
"94*37=3478",
"3478/47=74",
"74-35=39"
] | Current State: 39:[94, 37, 47, 35], Operations: []
Exploring Operation: 94*37=3478, Resulting Numbers: [47, 35, 3478]
Generated Node #2: [47, 35, 3478] from Operation: 94*37=3478
Current State: 39:[47, 35, 3478], Operations: ['94*37=3478']
Exploring Operation: 3478/47=74, Resulting Numbers: [35, 74]
Generated Node #3: [35, 74] from Operation: 3478/47=74
Current State: 39:[35, 74], Operations: ['94*37=3478', '3478/47=74']
Exploring Operation: 74-35=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[94, 37, 47, 35], Operations: []
Exploring Operation: 94-35=59, Resulting Numbers: [37, 47, 59]
Generated Node #0,0: 39:[37, 47, 59] Operation: 94-35=59
Exploring Operation: 94/47=2, Resulting Numbers: [37, 35, 2]
Generated Node #0,1: 39:[37, 35, 2] Operation: 94/47=2
Exploring Operation: 94-37=57, Resulting Numbers: [47, 35, 57]
Generated Node #0,2: 39:[47, 35, 57] Operation: 94-37=57
Exploring Operation: 94-47=47, Resulting Numbers: [37, 35, 47]
Generated Node #0,3: 39:[37, 35, 47] Operation: 94-47=47
Start Sub Search at level 1: Moving to Node #0,1
Current State: 39:[37, 35, 2], Operations: ['94/47=2']
Exploring Operation: 37-2=35, Resulting Numbers: [35, 35]
Generated Node #0,1,0: 39:[35, 35] Operation: 37-2=35
Exploring Operation: 37-35=2, Resulting Numbers: [2, 2]
Generated Node #0,1,1: 39:[2, 2] Operation: 37-35=2
Exploring Operation: 37+2=39, Resulting Numbers: [35, 39]
Generated Node #0,1,2: 39:[35, 39] Operation: 37+2=39
Exploring Operation: 35+2=37, Resulting Numbers: [37, 37]
Generated Node #0,1,3: 39:[37, 37] Operation: 35+2=37
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 39:[2, 2], Operations: ['94/47=2', '37-35=2']
Exploring Operation: 2/2=1, Resulting Numbers: [1]
1,39 unequal: No Solution
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,39 unequal: No Solution
Exploring Operation: 2-2=0, Resulting Numbers: [0]
0,39 unequal: No Solution
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,39 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: 39:[35, 39], Operations: ['94/47=2', '37+2=39']
Exploring Operation: 39-35=4, Resulting Numbers: [4]
4,39 unequal: No Solution
Exploring Operation: 35*39=1365, Resulting Numbers: [1365]
1365,39 unequal: No Solution
Exploring Operation: 35+39=74, Resulting Numbers: [74]
74,39 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: 39:[37, 37], Operations: ['94/47=2', '35+2=37']
Exploring Operation: 37-37=0, Resulting Numbers: [0]
0,39 unequal: No Solution
Exploring Operation: 37/37=1, Resulting Numbers: [1]
1,39 unequal: No Solution
Exploring Operation: 37*37=1369, Resulting Numbers: [1369]
1369,39 unequal: No Solution
Exploring Operation: 37+37=74, Resulting Numbers: [74]
74,39 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: 39:[35, 35], Operations: ['94/47=2', '37-2=35']
Exploring Operation: 35+35=70, Resulting Numbers: [70]
70,39 unequal: No Solution
Exploring Operation: 35-35=0, Resulting Numbers: [0]
0,39 unequal: No Solution
Exploring Operation: 35*35=1225, Resulting Numbers: [1225]
1225,39 unequal: No Solution
Exploring Operation: 35/35=1, Resulting Numbers: [1]
1,39 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: 39:[37, 35, 47], Operations: ['94-47=47']
Exploring Operation: 47-37=10, Resulting Numbers: [35, 10]
Generated Node #0,3,0: 39:[35, 10] Operation: 47-37=10
Exploring Operation: 47-35=12, Resulting Numbers: [37, 12]
Generated Node #0,3,1: 39:[37, 12] Operation: 47-35=12
Exploring Operation: 37-35=2, Resulting Numbers: [47, 2]
Generated Node #0,3,2: 39:[47, 2] Operation: 37-35=2
Exploring Operation: 37+35=72, Resulting Numbers: [47, 72]
Generated Node #0,3,3: 39:[47, 72] Operation: 37+35=72
Moving to Node #0,3,1
Current State: 39:[37, 12], Operations: ['94-47=47', '47-35=12']
Exploring Operation: 37*12=444, Resulting Numbers: [444]
444,39 unequal: No Solution
Exploring Operation: 37+12=49, Resulting Numbers: [49]
49,39 unequal: No Solution
Exploring Operation: 37-12=25, Resulting Numbers: [25]
25,39 unequal: No Solution
Moving to Node #0,3,0
Current State: 39:[35, 10], Operations: ['94-47=47', '47-37=10']
Exploring Operation: 35+10=45, Resulting Numbers: [45]
45,39 unequal: No Solution
Exploring Operation: 35*10=350, Resulting Numbers: [350]
350,39 unequal: No Solution
Exploring Operation: 35-10=25, Resulting Numbers: [25]
25,39 unequal: No Solution
Moving to Node #0,3,2
Current State: 39:[47, 2], Operations: ['94-47=47', '37-35=2']
Exploring Operation: 47+2=49, Resulting Numbers: [49]
49,39 unequal: No Solution
Exploring Operation: 47*2=94, Resulting Numbers: [94]
94,39 unequal: No Solution
Exploring Operation: 47-2=45, Resulting Numbers: [45]
45,39 unequal: No Solution
Moving to Node #0,3,3
Current State: 39:[47, 72], Operations: ['94-47=47', '37+35=72']
Exploring Operation: 47+72=119, Resulting Numbers: [119]
119,39 unequal: No Solution
Exploring Operation: 47*72=3384, Resulting Numbers: [3384]
3384,39 unequal: No Solution
Exploring Operation: 72-47=25, Resulting Numbers: [25]
25,39 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
Current State: 39:[37, 47, 59], Operations: ['94-35=59']
Exploring Operation: 59-37=22, Resulting Numbers: [47, 22]
Generated Node #0,0,0: 39:[47, 22] Operation: 59-37=22
Exploring Operation: 47-37=10, Resulting Numbers: [59, 10]
Generated Node #0,0,1: 39:[59, 10] Operation: 47-37=10
Exploring Operation: 59-47=12, Resulting Numbers: [37, 12]
Generated Node #0,0,2: 39:[37, 12] Operation: 59-47=12
Exploring Operation: 37+47=84, Resulting Numbers: [59, 84]
Generated Node #0,0,3: 39:[59, 84] Operation: 37+47=84
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 39:[37, 12], Operations: ['94-35=59', '59-47=12']
Exploring Operation: 37-12=25, Resulting Numbers: [25]
25,39 unequal: No Solution
Exploring Operation: 37*12=444, Resulting Numbers: [444]
444,39 unequal: No Solution
Exploring Operation: 37+12=49, Resulting Numbers: [49]
49,39 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: 39:[47, 22], Operations: ['94-35=59', '59-37=22']
Exploring Operation: 47-22=25, Resulting Numbers: [25]
25,39 unequal: No Solution
Exploring Operation: 47*22=1034, Resulting Numbers: [1034]
1034,39 unequal: No Solution
Exploring Operation: 47+22=69, Resulting Numbers: [69]
69,39 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: 39:[59, 10], Operations: ['94-35=59', '47-37=10']
Exploring Operation: 59*10=590, Resulting Numbers: [590]
590,39 unequal: No Solution
Exploring Operation: 59-10=49, Resulting Numbers: [49]
49,39 unequal: No Solution
Exploring Operation: 59+10=69, Resulting Numbers: [69]
69,39 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: 39:[59, 84], Operations: ['94-35=59', '37+47=84']
Exploring Operation: 59*84=4956, Resulting Numbers: [4956]
4956,39 unequal: No Solution
Exploring Operation: 59+84=143, Resulting Numbers: [143]
143,39 unequal: No Solution
Exploring Operation: 84-59=25, Resulting Numbers: [25]
25,39 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: 39:[47, 35, 57], Operations: ['94-37=57']
Exploring Operation: 47+35=82, Resulting Numbers: [57, 82]
Generated Node #0,2,0: 39:[57, 82] Operation: 47+35=82
Exploring Operation: 47-35=12, Resulting Numbers: [57, 12]
Generated Node #0,2,1: 39:[57, 12] Operation: 47-35=12
Exploring Operation: 57-35=22, Resulting Numbers: [47, 22]
Generated Node #0,2,2: 39:[47, 22] Operation: 57-35=22
Exploring Operation: 57-47=10, Resulting Numbers: [35, 10]
Generated Node #0,2,3: 39:[35, 10] Operation: 57-47=10
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 39:[35, 10], Operations: ['94-37=57', '57-47=10']
Exploring Operation: 35+10=45, Resulting Numbers: [45]
45,39 unequal: No Solution
Exploring Operation: 35*10=350, Resulting Numbers: [350]
350,39 unequal: No Solution
Exploring Operation: 35-10=25, Resulting Numbers: [25]
25,39 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: 39:[47, 22], Operations: ['94-37=57', '57-35=22']
Exploring Operation: 47*22=1034, Resulting Numbers: [1034]
1034,39 unequal: No Solution
Exploring Operation: 47+22=69, Resulting Numbers: [69]
69,39 unequal: No Solution
Exploring Operation: 47-22=25, Resulting Numbers: [25]
25,39 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: 39:[57, 12], Operations: ['94-37=57', '47-35=12']
Exploring Operation: 57-12=45, Resulting Numbers: [45]
45,39 unequal: No Solution
Exploring Operation: 57+12=69, Resulting Numbers: [69]
69,39 unequal: No Solution
Exploring Operation: 57*12=684, Resulting Numbers: [684]
684,39 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: 39:[57, 82], Operations: ['94-37=57', '47+35=82']
Exploring Operation: 57*82=4674, Resulting Numbers: [4674]
4674,39 unequal: No Solution
Exploring Operation: 57+82=139, Resulting Numbers: [139]
139,39 unequal: No Solution
Exploring Operation: 82-57=25, Resulting Numbers: [25]
25,39 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 |
[
53,
3,
32,
35
] | 26 | [
"53-35=18",
"18/3=6",
"32-6=26"
] | Current State: 26:[53, 3, 32, 35], Operations: []
Exploring Operation: 53-35=18, Resulting Numbers: [3, 32, 18]
Generated Node #2: [3, 32, 18] from Operation: 53-35=18
Current State: 26:[3, 32, 18], Operations: ['53-35=18']
Exploring Operation: 18/3=6, Resulting Numbers: [32, 6]
Generated Node #3: [32, 6] from Operation: 18/3=6
Current State: 26:[32, 6], Operations: ['53-35=18', '18/3=6']
Exploring Operation: 32-6=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[53, 3, 32, 35], Operations: []
Exploring Operation: 53-35=18, Resulting Numbers: [3, 32, 18]
Generated Node #0,0: 26:[3, 32, 18] Operation: 53-35=18
Exploring Operation: 53-32=21, Resulting Numbers: [3, 35, 21]
Generated Node #0,1: 26:[3, 35, 21] Operation: 53-32=21
Exploring Operation: 35-32=3, Resulting Numbers: [53, 3, 3]
Generated Node #0,2: 26:[53, 3, 3] Operation: 35-32=3
Moving to Node #0,0
Current State: 26:[3, 32, 18], Operations: ['53-35=18']
Exploring Operation: 32-18=14, Resulting Numbers: [3, 14]
Generated Node #0,0,0: 26:[3, 14] Operation: 32-18=14
Exploring Operation: 32-3=29, Resulting Numbers: [18, 29]
Generated Node #0,0,1: 26:[18, 29] Operation: 32-3=29
Exploring Operation: 18-3=15, Resulting Numbers: [32, 15]
Generated Node #0,0,2: 26:[32, 15] Operation: 18-3=15
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 26:[3, 14], Operations: ['53-35=18', '32-18=14']
Exploring Operation: 3+14=17, Resulting Numbers: [17]
17,26 unequal: No Solution
Exploring Operation: 3*14=42, Resulting Numbers: [42]
42,26 unequal: No Solution
Exploring Operation: 14-3=11, Resulting Numbers: [11]
11,26 unequal: No Solution
No 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: 26:[18, 29], Operations: ['53-35=18', '32-3=29']
Exploring Operation: 18*29=522, Resulting Numbers: [522]
522,26 unequal: No Solution
Exploring Operation: 18+29=47, Resulting Numbers: [47]
47,26 unequal: No Solution
Exploring Operation: 29-18=11, Resulting Numbers: [11]
11,26 unequal: No Solution
No 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: 26:[32, 15], Operations: ['53-35=18', '18-3=15']
Exploring Operation: 32-15=17, Resulting Numbers: [17]
17,26 unequal: No Solution
Exploring Operation: 32*15=480, Resulting Numbers: [480]
480,26 unequal: No Solution
Exploring Operation: 32+15=47, Resulting Numbers: [47]
47,26 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: 26:[3, 35, 21], Operations: ['53-32=21']
Exploring Operation: 35-3=32, Resulting Numbers: [21, 32]
Generated Node #0,1,0: 26:[21, 32] Operation: 35-3=32
Exploring Operation: 35-21=14, Resulting Numbers: [3, 14]
Generated Node #0,1,1: 26:[3, 14] Operation: 35-21=14
Exploring Operation: 3+21=24, Resulting Numbers: [35, 24]
Generated Node #0,1,2: 26:[35, 24] Operation: 3+21=24
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 26:[3, 14], Operations: ['53-32=21', '35-21=14']
Exploring Operation: 14-3=11, Resulting Numbers: [11]
11,26 unequal: No Solution
Exploring Operation: 3+14=17, Resulting Numbers: [17]
17,26 unequal: No Solution
Exploring Operation: 3*14=42, Resulting Numbers: [42]
42,26 unequal: No Solution
No 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: 26:[21, 32], Operations: ['53-32=21', '35-3=32']
Exploring Operation: 32-21=11, Resulting Numbers: [11]
11,26 unequal: No Solution
Exploring Operation: 21*32=672, Resulting Numbers: [672]
672,26 unequal: No Solution
Exploring Operation: 21+32=53, Resulting Numbers: [53]
53,26 unequal: No Solution
No 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: 26:[35, 24], Operations: ['53-32=21', '3+21=24']
Exploring Operation: 35-24=11, Resulting Numbers: [11]
11,26 unequal: No Solution
Exploring Operation: 35*24=840, Resulting Numbers: [840]
840,26 unequal: No Solution
Exploring Operation: 35+24=59, Resulting Numbers: [59]
59,26 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: 26:[53, 3, 3], Operations: ['35-32=3']
Exploring Operation: 53-3=50, Resulting Numbers: [3, 50]
Generated Node #0,2,0: 26:[3, 50] Operation: 53-3=50
Exploring Operation: 3/3=1, Resulting Numbers: [53, 1]
Generated Node #0,2,1: 26:[53, 1] Operation: 3/3=1
Exploring Operation: 53-3=50, Resulting Numbers: [3, 50]
Generated Node #0,2,2: 26:[3, 50] Operation: 53-3=50
Moving to Node #0,2,0
Current State: 26:[3, 50], Operations: ['35-32=3', '53-3=50']
Exploring Operation: 3*50=150, Resulting Numbers: [150]
150,26 unequal: No Solution
Exploring Operation: 3+50=53, Resulting Numbers: [53]
53,26 unequal: No Solution
Exploring Operation: 50-3=47, Resulting Numbers: [47]
47,26 unequal: No Solution
Moving to Node #0,2,2
Current State: 26:[3, 50], Operations: ['35-32=3', '53-3=50']
Exploring Operation: 50-3=47, Resulting Numbers: [47]
47,26 unequal: No Solution
Exploring Operation: 3+50=53, Resulting Numbers: [53]
53,26 unequal: No Solution
Exploring Operation: 3*50=150, Resulting Numbers: [150]
150,26 unequal: No Solution
Moving to Node #0,2,1
Current State: 26:[53, 1], Operations: ['35-32=3', '3/3=1']
Exploring Operation: 53-1=52, Resulting Numbers: [52]
52,26 unequal: No Solution
Exploring Operation: 53/1=53, Resulting Numbers: [53]
53,26 unequal: No Solution
Exploring Operation: 53*1=53, Resulting Numbers: [53]
53,26 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
92,
32,
46,
65
] | 41 | [
"92-32=60",
"65-46=19",
"60-19=41"
] | Current State: 41:[92, 32, 46, 65], Operations: []
Exploring Operation: 92-32=60, Resulting Numbers: [46, 65, 60]
Generated Node #2: [46, 65, 60] from Operation: 92-32=60
Current State: 41:[46, 65, 60], Operations: ['92-32=60']
Exploring Operation: 65-46=19, Resulting Numbers: [60, 19]
Generated Node #3: [60, 19] from Operation: 65-46=19
Current State: 41:[60, 19], Operations: ['92-32=60', '65-46=19']
Exploring Operation: 60-19=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[92, 32, 46, 65], Operations: []
Exploring Operation: 92-65=27, Resulting Numbers: [32, 46, 27]
Generated Node #0,0: 41:[32, 46, 27] Operation: 92-65=27
Exploring Operation: 92-32=60, Resulting Numbers: [46, 65, 60]
Generated Node #0,1: 41:[46, 65, 60] Operation: 92-32=60
Exploring Operation: 92-46=46, Resulting Numbers: [32, 65, 46]
Generated Node #0,2: 41:[32, 65, 46] Operation: 92-46=46
Start Sub Search at level 1: Moving to Node #0,0
Current State: 41:[32, 46, 27], Operations: ['92-65=27']
Exploring Operation: 32+27=59, Resulting Numbers: [46, 59]
Generated Node #0,0,0: 41:[46, 59] Operation: 32+27=59
Exploring Operation: 46-27=19, Resulting Numbers: [32, 19]
Generated Node #0,0,1: 41:[32, 19] Operation: 46-27=19
Exploring Operation: 46-32=14, Resulting Numbers: [27, 14]
Generated Node #0,0,2: 41:[27, 14] Operation: 46-32=14
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 41:[46, 59], Operations: ['92-65=27', '32+27=59']
Exploring Operation: 46*59=2714, Resulting Numbers: [2714]
2714,41 unequal: No Solution
Exploring Operation: 59-46=13, Resulting Numbers: [13]
13,41 unequal: No Solution
Exploring Operation: 46+59=105, Resulting Numbers: [105]
105,41 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: 41:[32, 19], Operations: ['92-65=27', '46-27=19']
Exploring Operation: 32*19=608, Resulting Numbers: [608]
608,41 unequal: No Solution
Exploring Operation: 32+19=51, Resulting Numbers: [51]
51,41 unequal: No Solution
Exploring Operation: 32-19=13, Resulting Numbers: [13]
13,41 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: 41:[27, 14], Operations: ['92-65=27', '46-32=14']
Exploring Operation: 27*14=378, Resulting Numbers: [378]
378,41 unequal: No Solution
Exploring Operation: 27-14=13, Resulting Numbers: [13]
13,41 unequal: No Solution
Exploring Operation: 27+14=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Moving to Node #0
Current State: 41:[92, 32, 46, 65], Operations: []
Exploring Operation: 92-65=27, Resulting Numbers: [32, 46, 27]
Generated Node #0,0: 41:[32, 46, 27] Operation: 92-65=27
Moving to Node #0,0
Current State: 41:[32, 46, 27], Operations: ['92-65=27']
Exploring Operation: 46-32=14, Resulting Numbers: [27, 14]
Generated Node #0,0,2: 41:[27, 14] Operation: 46-32=14
Moving to Node #0,0,2
Current State: 41:[27, 14], Operations: ['92-65=27', '46-32=14']
Exploring Operation: 27+14=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.983507 | hs_3 | sum_heuristic |
[
22,
26,
58,
69
] | 52 | [
"22*26=572",
"69-58=11",
"572/11=52"
] | Current State: 52:[22, 26, 58, 69], Operations: []
Exploring Operation: 22*26=572, Resulting Numbers: [58, 69, 572]
Generated Node #2: [58, 69, 572] from Operation: 22*26=572
Current State: 52:[58, 69, 572], Operations: ['22*26=572']
Exploring Operation: 69-58=11, Resulting Numbers: [572, 11]
Generated Node #3: [572, 11] from Operation: 69-58=11
Current State: 52:[572, 11], Operations: ['22*26=572', '69-58=11']
Exploring Operation: 572/11=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[22, 26, 58, 69], Operations: []
Exploring Operation: 69-58=11, Resulting Numbers: [22, 26, 11]
Generated Node #0,0: 52:[22, 26, 11] Operation: 69-58=11
Start Sub Search at level 1: Moving to Node #0,0
Current State: 52:[22, 26, 11], Operations: ['69-58=11']
Exploring Operation: 22/11=2, Resulting Numbers: [26, 2]
Generated Node #0,0,0: 52:[26, 2] Operation: 22/11=2
Moving to Node #0,0,0
Current State: 52:[26, 2], Operations: ['69-58=11', '22/11=2']
Exploring Operation: 26*2=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Moving to Node #0
Current State: 52:[22, 26, 58, 69], Operations: []
Exploring Operation: 69-58=11, Resulting Numbers: [22, 26, 11]
Generated Node #0,0: 52:[22, 26, 11] Operation: 69-58=11
Moving to Node #0,0
Current State: 52:[22, 26, 11], Operations: ['69-58=11']
Exploring Operation: 22/11=2, Resulting Numbers: [26, 2]
Generated Node #0,0,0: 52:[26, 2] Operation: 22/11=2
Moving to Node #0,0,0
Current State: 52:[26, 2], Operations: ['69-58=11', '22/11=2']
Exploring Operation: 26*2=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
53,
4,
30,
22
] | 89 | [
"53-22=31",
"4*30=120",
"120-31=89"
] | Current State: 89:[53, 4, 30, 22], Operations: []
Exploring Operation: 53-22=31, Resulting Numbers: [4, 30, 31]
Generated Node #2: [4, 30, 31] from Operation: 53-22=31
Current State: 89:[4, 30, 31], Operations: ['53-22=31']
Exploring Operation: 4*30=120, Resulting Numbers: [31, 120]
Generated Node #3: [31, 120] from Operation: 4*30=120
Current State: 89:[31, 120], Operations: ['53-22=31', '4*30=120']
Exploring Operation: 120-31=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[53, 4, 30, 22], Operations: []
Exploring Operation: 4*22=88, Resulting Numbers: [53, 30, 88]
Generated Node #0,0: 89:[53, 30, 88] Operation: 4*22=88
Exploring Operation: 53+30=83, Resulting Numbers: [4, 22, 83]
Generated Node #0,1: 89:[4, 22, 83] Operation: 53+30=83
Exploring Operation: 53+4=57, Resulting Numbers: [30, 22, 57]
Generated Node #0,2: 89:[30, 22, 57] Operation: 53+4=57
Exploring Operation: 4*30=120, Resulting Numbers: [53, 22, 120]
Generated Node #0,3: 89:[53, 22, 120] Operation: 4*30=120
Start Sub Search at level 1: Moving to Node #0,0
Current State: 89:[53, 30, 88], Operations: ['4*22=88']
Exploring Operation: 53+30=83, Resulting Numbers: [88, 83]
Generated Node #0,0,0: 89:[88, 83] Operation: 53+30=83
Exploring Operation: 88-30=58, Resulting Numbers: [53, 58]
Generated Node #0,0,1: 89:[53, 58] Operation: 88-30=58
Exploring Operation: 53-30=23, Resulting Numbers: [88, 23]
Generated Node #0,0,2: 89:[88, 23] Operation: 53-30=23
Exploring Operation: 30+88=118, Resulting Numbers: [53, 118]
Generated Node #0,0,3: 89:[53, 118] Operation: 30+88=118
Moving to Node #0,0,0
Current State: 89:[88, 83], Operations: ['4*22=88', '53+30=83']
Exploring Operation: 88*83=7304, Resulting Numbers: [7304]
7304,89 unequal: No Solution
Exploring Operation: 88-83=5, Resulting Numbers: [5]
5,89 unequal: No Solution
Exploring Operation: 88+83=171, Resulting Numbers: [171]
171,89 unequal: No Solution
Moving to Node #0,0,3
Current State: 89:[53, 118], Operations: ['4*22=88', '30+88=118']
Exploring Operation: 53*118=6254, Resulting Numbers: [6254]
6254,89 unequal: No Solution
Exploring Operation: 53+118=171, Resulting Numbers: [171]
171,89 unequal: No Solution
Exploring Operation: 118-53=65, Resulting Numbers: [65]
65,89 unequal: No Solution
Moving to Node #0,0,2
Current State: 89:[88, 23], Operations: ['4*22=88', '53-30=23']
Exploring Operation: 88+23=111, Resulting Numbers: [111]
111,89 unequal: No Solution
Exploring Operation: 88*23=2024, Resulting Numbers: [2024]
2024,89 unequal: No Solution
Exploring Operation: 88-23=65, Resulting Numbers: [65]
65,89 unequal: No Solution
Moving to Node #0,0,1
Current State: 89:[53, 58], Operations: ['4*22=88', '88-30=58']
Exploring Operation: 58-53=5, Resulting Numbers: [5]
5,89 unequal: No Solution
Exploring Operation: 53*58=3074, Resulting Numbers: [3074]
3074,89 unequal: No Solution
Exploring Operation: 53+58=111, Resulting Numbers: [111]
111,89 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 #0,3
Current State: 89:[53, 22, 120], Operations: ['4*30=120']
Exploring Operation: 53-22=31, Resulting Numbers: [120, 31]
Generated Node #0,3,0: 89:[120, 31] Operation: 53-22=31
Exploring Operation: 120-53=67, Resulting Numbers: [22, 67]
Generated Node #0,3,1: 89:[22, 67] Operation: 120-53=67
Exploring Operation: 120-22=98, Resulting Numbers: [53, 98]
Generated Node #0,3,2: 89:[53, 98] Operation: 120-22=98
Exploring Operation: 53+22=75, Resulting Numbers: [120, 75]
Generated Node #0,3,3: 89:[120, 75] Operation: 53+22=75
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 89:[53, 98], Operations: ['4*30=120', '120-22=98']
Exploring Operation: 53+98=151, Resulting Numbers: [151]
151,89 unequal: No Solution
Exploring Operation: 98-53=45, Resulting Numbers: [45]
45,89 unequal: No Solution
Exploring Operation: 53*98=5194, Resulting Numbers: [5194]
5194,89 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: 89:[120, 75], Operations: ['4*30=120', '53+22=75']
Exploring Operation: 120*75=9000, Resulting Numbers: [9000]
9000,89 unequal: No Solution
Exploring Operation: 120+75=195, Resulting Numbers: [195]
195,89 unequal: No Solution
Exploring Operation: 120-75=45, Resulting Numbers: [45]
45,89 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: 89:[120, 31], Operations: ['4*30=120', '53-22=31']
Exploring Operation: 120*31=3720, Resulting Numbers: [3720]
3720,89 unequal: No Solution
Exploring Operation: 120-31=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
Moving to Node #0
Current State: 89:[53, 4, 30, 22], Operations: []
Exploring Operation: 4*30=120, Resulting Numbers: [53, 22, 120]
Generated Node #0,3: 89:[53, 22, 120] Operation: 4*30=120
Moving to Node #0,3
Current State: 89:[53, 22, 120], Operations: ['4*30=120']
Exploring Operation: 53-22=31, Resulting Numbers: [120, 31]
Generated Node #0,3,0: 89:[120, 31] Operation: 53-22=31
Moving to Node #0,3,0
Current State: 89:[120, 31], Operations: ['4*30=120', '53-22=31']
Exploring Operation: 120-31=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.96875 | hs_4 | sum_heuristic |
[
50,
84,
56,
2
] | 96 | [
"56-50=6",
"2*6=12",
"84+12=96"
] | Current State: 96:[50, 84, 56, 2], Operations: []
Exploring Operation: 56-50=6, Resulting Numbers: [84, 2, 6]
Generated Node #2: [84, 2, 6] from Operation: 56-50=6
Current State: 96:[84, 2, 6], Operations: ['56-50=6']
Exploring Operation: 2*6=12, Resulting Numbers: [84, 12]
Generated Node #3: [84, 12] from Operation: 2*6=12
Current State: 96:[84, 12], Operations: ['56-50=6', '2*6=12']
Exploring Operation: 84+12=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[50, 84, 56, 2], Operations: []
Exploring Operation: 84-56=28, Resulting Numbers: [50, 2, 28]
Generated Node #0,0: 96:[50, 2, 28] Operation: 84-56=28
Exploring Operation: 84-50=34, Resulting Numbers: [56, 2, 34]
Generated Node #0,1: 96:[56, 2, 34] Operation: 84-50=34
Start Sub Search at level 1: Moving to Node #0,0
Current State: 96:[50, 2, 28], Operations: ['84-56=28']
Exploring Operation: 50-2=48, Resulting Numbers: [28, 48]
Generated Node #0,0,0: 96:[28, 48] Operation: 50-2=48
Exploring Operation: 50-28=22, Resulting Numbers: [2, 22]
Generated Node #0,0,1: 96:[2, 22] Operation: 50-28=22
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 96:[2, 22], Operations: ['84-56=28', '50-28=22']
Exploring Operation: 2+22=24, Resulting Numbers: [24]
24,96 unequal: No Solution
Exploring Operation: 22/2=11, Resulting Numbers: [11]
11,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 96:[28, 48], Operations: ['84-56=28', '50-2=48']
Exploring Operation: 48-28=20, Resulting Numbers: [20]
20,96 unequal: No Solution
Exploring Operation: 28+48=76, Resulting Numbers: [76]
76,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 96:[56, 2, 34], Operations: ['84-50=34']
Exploring Operation: 56-34=22, Resulting Numbers: [2, 22]
Generated Node #0,1,0: 96:[2, 22] Operation: 56-34=22
Exploring Operation: 56/2=28, Resulting Numbers: [34, 28]
Generated Node #0,1,1: 96:[34, 28] Operation: 56/2=28
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 96:[2, 22], Operations: ['84-50=34', '56-34=22']
Exploring Operation: 22/2=11, Resulting Numbers: [11]
11,96 unequal: No Solution
Exploring Operation: 2+22=24, Resulting Numbers: [24]
24,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 96:[34, 28], Operations: ['84-50=34', '56/2=28']
Exploring Operation: 34-28=6, Resulting Numbers: [6]
6,96 unequal: No Solution
Exploring Operation: 34+28=62, Resulting Numbers: [62]
62,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
76,
91,
9,
37
] | 70 | [
"91-37=54",
"54/9=6",
"76-6=70"
] | Current State: 70:[76, 91, 9, 37], Operations: []
Exploring Operation: 91-37=54, Resulting Numbers: [76, 9, 54]
Generated Node #2: [76, 9, 54] from Operation: 91-37=54
Current State: 70:[76, 9, 54], Operations: ['91-37=54']
Exploring Operation: 54/9=6, Resulting Numbers: [76, 6]
Generated Node #3: [76, 6] from Operation: 54/9=6
Current State: 70:[76, 6], Operations: ['91-37=54', '54/9=6']
Exploring Operation: 76-6=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[76, 91, 9, 37], Operations: []
Exploring Operation: 91-37=54, Resulting Numbers: [76, 9, 54]
Generated Node #0,0: 70:[76, 9, 54] Operation: 91-37=54
Exploring Operation: 91-76=15, Resulting Numbers: [9, 37, 15]
Generated Node #0,1: 70:[9, 37, 15] Operation: 91-76=15
Exploring Operation: 91-9=82, Resulting Numbers: [76, 37, 82]
Generated Node #0,2: 70:[76, 37, 82] Operation: 91-9=82
Exploring Operation: 76-9=67, Resulting Numbers: [91, 37, 67]
Generated Node #0,3: 70:[91, 37, 67] Operation: 76-9=67
Start Sub Search at level 1: Moving to Node #0,1
Current State: 70:[9, 37, 15], Operations: ['91-76=15']
Exploring Operation: 37-15=22, Resulting Numbers: [9, 22]
Generated Node #0,1,0: 70:[9, 22] Operation: 37-15=22
Exploring Operation: 37-9=28, Resulting Numbers: [15, 28]
Generated Node #0,1,1: 70:[15, 28] Operation: 37-9=28
Exploring Operation: 9+37=46, Resulting Numbers: [15, 46]
Generated Node #0,1,2: 70:[15, 46] Operation: 9+37=46
Exploring Operation: 15-9=6, Resulting Numbers: [37, 6]
Generated Node #0,1,3: 70:[37, 6] Operation: 15-9=6
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 70:[37, 6], Operations: ['91-76=15', '15-9=6']
Exploring Operation: 37-6=31, Resulting Numbers: [31]
31,70 unequal: No Solution
Exploring Operation: 37+6=43, Resulting Numbers: [43]
43,70 unequal: No Solution
Exploring Operation: 37*6=222, Resulting Numbers: [222]
222,70 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: 70:[15, 28], Operations: ['91-76=15', '37-9=28']
Exploring Operation: 15*28=420, Resulting Numbers: [420]
420,70 unequal: No Solution
Exploring Operation: 15+28=43, Resulting Numbers: [43]
43,70 unequal: No Solution
Exploring Operation: 28-15=13, Resulting Numbers: [13]
13,70 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: 70:[9, 22], Operations: ['91-76=15', '37-15=22']
Exploring Operation: 9+22=31, Resulting Numbers: [31]
31,70 unequal: No Solution
Exploring Operation: 22-9=13, Resulting Numbers: [13]
13,70 unequal: No Solution
Exploring Operation: 9*22=198, Resulting Numbers: [198]
198,70 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: 70:[15, 46], Operations: ['91-76=15', '9+37=46']
Exploring Operation: 46-15=31, Resulting Numbers: [31]
31,70 unequal: No Solution
Exploring Operation: 15*46=690, Resulting Numbers: [690]
690,70 unequal: No Solution
Exploring Operation: 15+46=61, Resulting Numbers: [61]
61,70 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: 70:[76, 37, 82], Operations: ['91-9=82']
Exploring Operation: 82-37=45, Resulting Numbers: [76, 45]
Generated Node #0,2,0: 70:[76, 45] Operation: 82-37=45
Exploring Operation: 76+37=113, Resulting Numbers: [82, 113]
Generated Node #0,2,1: 70:[82, 113] Operation: 76+37=113
Exploring Operation: 82-76=6, Resulting Numbers: [37, 6]
Generated Node #0,2,2: 70:[37, 6] Operation: 82-76=6
Exploring Operation: 76-37=39, Resulting Numbers: [82, 39]
Generated Node #0,2,3: 70:[82, 39] Operation: 76-37=39
Moving to Node #0,2,2
Current State: 70:[37, 6], Operations: ['91-9=82', '82-76=6']
Exploring Operation: 37-6=31, Resulting Numbers: [31]
31,70 unequal: No Solution
Exploring Operation: 37+6=43, Resulting Numbers: [43]
43,70 unequal: No Solution
Exploring Operation: 37*6=222, Resulting Numbers: [222]
222,70 unequal: No Solution
Moving to Node #0,2,3
Current State: 70:[82, 39], Operations: ['91-9=82', '76-37=39']
Exploring Operation: 82*39=3198, Resulting Numbers: [3198]
3198,70 unequal: No Solution
Exploring Operation: 82+39=121, Resulting Numbers: [121]
121,70 unequal: No Solution
Exploring Operation: 82-39=43, Resulting Numbers: [43]
43,70 unequal: No Solution
Moving to Node #0,2,0
Current State: 70:[76, 45], Operations: ['91-9=82', '82-37=45']
Exploring Operation: 76+45=121, Resulting Numbers: [121]
121,70 unequal: No Solution
Exploring Operation: 76*45=3420, Resulting Numbers: [3420]
3420,70 unequal: No Solution
Exploring Operation: 76-45=31, Resulting Numbers: [31]
31,70 unequal: No Solution
Moving to Node #0,2,1
Current State: 70:[82, 113], Operations: ['91-9=82', '76+37=113']
Exploring Operation: 113-82=31, Resulting Numbers: [31]
31,70 unequal: No Solution
Exploring Operation: 82*113=9266, Resulting Numbers: [9266]
9266,70 unequal: No Solution
Exploring Operation: 82+113=195, Resulting Numbers: [195]
195,70 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
Current State: 70:[76, 9, 54], Operations: ['91-37=54']
Exploring Operation: 76-54=22, Resulting Numbers: [9, 22]
Generated Node #0,0,0: 70:[9, 22] Operation: 76-54=22
Exploring Operation: 54-9=45, Resulting Numbers: [76, 45]
Generated Node #0,0,1: 70:[76, 45] Operation: 54-9=45
Exploring Operation: 9+54=63, Resulting Numbers: [76, 63]
Generated Node #0,0,2: 70:[76, 63] Operation: 9+54=63
Exploring Operation: 54/9=6, Resulting Numbers: [76, 6]
Generated Node #0,0,3: 70:[76, 6] Operation: 54/9=6
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 70:[76, 6], Operations: ['91-37=54', '54/9=6']
Exploring Operation: 76-6=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Moving to Node #0
Current State: 70:[76, 91, 9, 37], Operations: []
Exploring Operation: 91-37=54, Resulting Numbers: [76, 9, 54]
Generated Node #0,0: 70:[76, 9, 54] Operation: 91-37=54
Moving to Node #0,0
Current State: 70:[76, 9, 54], Operations: ['91-37=54']
Exploring Operation: 54/9=6, Resulting Numbers: [76, 6]
Generated Node #0,0,3: 70:[76, 6] Operation: 54/9=6
Moving to Node #0,0,3
Current State: 70:[76, 6], Operations: ['91-37=54', '54/9=6']
Exploring Operation: 76-6=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.960938 | hs_4 | mult_heuristic |
[
39,
59,
26,
52
] | 61 | [
"52-39=13",
"26/13=2",
"59+2=61"
] | Current State: 61:[39, 59, 26, 52], Operations: []
Exploring Operation: 52-39=13, Resulting Numbers: [59, 26, 13]
Generated Node #2: [59, 26, 13] from Operation: 52-39=13
Current State: 61:[59, 26, 13], Operations: ['52-39=13']
Exploring Operation: 26/13=2, Resulting Numbers: [59, 2]
Generated Node #3: [59, 2] from Operation: 26/13=2
Current State: 61:[59, 2], Operations: ['52-39=13', '26/13=2']
Exploring Operation: 59+2=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[39, 59, 26, 52], Operations: []
Exploring Operation: 26+52=78, Resulting Numbers: [39, 59, 78]
Generated Node #0,0: 61:[39, 59, 78] Operation: 26+52=78
Exploring Operation: 39+26=65, Resulting Numbers: [59, 52, 65]
Generated Node #0,1: 61:[59, 52, 65] Operation: 39+26=65
Start Sub Search at level 1: Moving to Node #0,1
Current State: 61:[59, 52, 65], Operations: ['39+26=65']
Exploring Operation: 65-52=13, Resulting Numbers: [59, 13]
Generated Node #0,1,0: 61:[59, 13] Operation: 65-52=13
Exploring Operation: 59+52=111, Resulting Numbers: [65, 111]
Generated Node #0,1,1: 61:[65, 111] Operation: 59+52=111
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 61:[59, 13], Operations: ['39+26=65', '65-52=13']
Exploring Operation: 59+13=72, Resulting Numbers: [72]
72,61 unequal: No Solution
Exploring Operation: 59-13=46, Resulting Numbers: [46]
46,61 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 #0,1,1
Current State: 61:[65, 111], Operations: ['39+26=65', '59+52=111']
Exploring Operation: 65+111=176, Resulting Numbers: [176]
176,61 unequal: No Solution
Exploring Operation: 111-65=46, Resulting Numbers: [46]
46,61 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: 61:[39, 59, 78], Operations: ['26+52=78']
Exploring Operation: 78-39=39, Resulting Numbers: [59, 39]
Generated Node #0,0,0: 61:[59, 39] Operation: 78-39=39
Exploring Operation: 39+59=98, Resulting Numbers: [78, 98]
Generated Node #0,0,1: 61:[78, 98] Operation: 39+59=98
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 61:[59, 39], Operations: ['26+52=78', '78-39=39']
Exploring Operation: 59+39=98, Resulting Numbers: [98]
98,61 unequal: No Solution
Exploring Operation: 59-39=20, Resulting Numbers: [20]
20,61 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 #0,0,1
Current State: 61:[78, 98], Operations: ['26+52=78', '39+59=98']
Exploring Operation: 98-78=20, Resulting Numbers: [20]
20,61 unequal: No Solution
Exploring Operation: 78+98=176, Resulting Numbers: [176]
176,61 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 |
[
34,
64,
19,
74
] | 63 | [
"64-34=30",
"19+74=93",
"93-30=63"
] | Current State: 63:[34, 64, 19, 74], Operations: []
Exploring Operation: 64-34=30, Resulting Numbers: [19, 74, 30]
Generated Node #2: [19, 74, 30] from Operation: 64-34=30
Current State: 63:[19, 74, 30], Operations: ['64-34=30']
Exploring Operation: 19+74=93, Resulting Numbers: [30, 93]
Generated Node #3: [30, 93] from Operation: 19+74=93
Current State: 63:[30, 93], Operations: ['64-34=30', '19+74=93']
Exploring Operation: 93-30=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[34, 64, 19, 74], Operations: []
Exploring Operation: 74-64=10, Resulting Numbers: [34, 19, 10]
Generated Node #0,0: 63:[34, 19, 10] Operation: 74-64=10
Moving to Node #0,0
Current State: 63:[34, 19, 10], Operations: ['74-64=10']
Exploring Operation: 34-10=24, Resulting Numbers: [19, 24]
Generated Node #0,0,0: 63:[19, 24] Operation: 34-10=24
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 63:[19, 24], Operations: ['74-64=10', '34-10=24']
Exploring Operation: 24-19=5, Resulting Numbers: [5]
5,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
46,
75,
8,
35
] | 14 | [
"75-46=29",
"8+35=43",
"43-29=14"
] | Current State: 14:[46, 75, 8, 35], Operations: []
Exploring Operation: 75-46=29, Resulting Numbers: [8, 35, 29]
Generated Node #2: [8, 35, 29] from Operation: 75-46=29
Current State: 14:[8, 35, 29], Operations: ['75-46=29']
Exploring Operation: 8+35=43, Resulting Numbers: [29, 43]
Generated Node #3: [29, 43] from Operation: 8+35=43
Current State: 14:[29, 43], Operations: ['75-46=29', '8+35=43']
Exploring Operation: 43-29=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[46, 75, 8, 35], Operations: []
Exploring Operation: 75-35=40, Resulting Numbers: [46, 8, 40]
Generated Node #0,0: 14:[46, 8, 40] Operation: 75-35=40
Exploring Operation: 75-46=29, Resulting Numbers: [8, 35, 29]
Generated Node #0,1: 14:[8, 35, 29] Operation: 75-46=29
Moving to Node #0,1
Current State: 14:[8, 35, 29], Operations: ['75-46=29']
Exploring Operation: 35-29=6, Resulting Numbers: [8, 6]
Generated Node #0,1,0: 14:[8, 6] Operation: 35-29=6
Exploring Operation: 35-8=27, Resulting Numbers: [29, 27]
Generated Node #0,1,1: 14:[29, 27] Operation: 35-8=27
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 14:[8, 6], Operations: ['75-46=29', '35-29=6']
Exploring Operation: 8+6=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[46, 75, 8, 35], Operations: []
Exploring Operation: 75-46=29, Resulting Numbers: [8, 35, 29]
Generated Node #0,1: 14:[8, 35, 29] Operation: 75-46=29
Moving to Node #0,1
Current State: 14:[8, 35, 29], Operations: ['75-46=29']
Exploring Operation: 35-29=6, Resulting Numbers: [8, 6]
Generated Node #0,1,0: 14:[8, 6] Operation: 35-29=6
Moving to Node #0,1,0
Current State: 14:[8, 6], Operations: ['75-46=29', '35-29=6']
Exploring Operation: 8+6=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
84,
35,
35,
39
] | 25 | [
"84-35=49",
"35+39=74",
"74-49=25"
] | Current State: 25:[84, 35, 35, 39], Operations: []
Exploring Operation: 84-35=49, Resulting Numbers: [39, 49]
Generated Node #2: [39, 49] from Operation: 84-35=49
Current State: 25:[39, 49], Operations: ['84-35=49']
Exploring Operation: 35+39=74, Resulting Numbers: [49, 74]
Generated Node #3: [49, 74] from Operation: 35+39=74
Current State: 25:[49, 74], Operations: ['84-35=49', '35+39=74']
Exploring Operation: 74-49=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[84, 35, 35, 39], Operations: []
Exploring Operation: 39-35=4, Resulting Numbers: [84, 35, 4]
Generated Node #0,0: 25:[84, 35, 4] Operation: 39-35=4
Exploring Operation: 84-35=49, Resulting Numbers: [35, 39, 49]
Generated Node #0,1: 25:[35, 39, 49] Operation: 84-35=49
Exploring Operation: 39-35=4, Resulting Numbers: [84, 35, 4]
Generated Node #0,2: 25:[84, 35, 4] Operation: 39-35=4
Exploring Operation: 84-35=49, Resulting Numbers: [35, 39, 49]
Generated Node #0,3: 25:[35, 39, 49] Operation: 84-35=49
Exploring Operation: 84-39=45, Resulting Numbers: [35, 35, 45]
Generated Node #0,4: 25:[35, 35, 45] Operation: 84-39=45
Moving to Node #0,4
Current State: 25:[35, 35, 45], Operations: ['84-39=45']
Exploring Operation: 35/35=1, Resulting Numbers: [45, 1]
Generated Node #0,4,0: 25:[45, 1] Operation: 35/35=1
Exploring Operation: 45-35=10, Resulting Numbers: [35, 10]
Generated Node #0,4,1: 25:[35, 10] Operation: 45-35=10
Exploring Operation: 35-35=0, Resulting Numbers: [45, 0]
Generated Node #0,4,2: 25:[45, 0] Operation: 35-35=0
Exploring Operation: 35+35=70, Resulting Numbers: [45, 70]
Generated Node #0,4,3: 25:[45, 70] Operation: 35+35=70
Exploring Operation: 45-35=10, Resulting Numbers: [35, 10]
Generated Node #0,4,4: 25:[35, 10] Operation: 45-35=10
Moving to Node #0,3
Current State: 25:[35, 39, 49], Operations: ['84-35=49']
Exploring Operation: 49-39=10, Resulting Numbers: [35, 10]
Generated Node #0,3,0: 25:[35, 10] Operation: 49-39=10
Exploring Operation: 49-35=14, Resulting Numbers: [39, 14]
Generated Node #0,3,1: 25:[39, 14] Operation: 49-35=14
Exploring Operation: 35+39=74, Resulting Numbers: [49, 74]
Generated Node #0,3,2: 25:[49, 74] Operation: 35+39=74
Exploring Operation: 39-35=4, Resulting Numbers: [49, 4]
Generated Node #0,3,3: 25:[49, 4] Operation: 39-35=4
Exploring Operation: 35+49=84, Resulting Numbers: [39, 84]
Generated Node #0,3,4: 25:[39, 84] Operation: 35+49=84
Moving to Node #0,1
Current State: 25:[35, 39, 49], Operations: ['84-35=49']
Exploring Operation: 49-39=10, Resulting Numbers: [35, 10]
Generated Node #0,1,0: 25:[35, 10] Operation: 49-39=10
Exploring Operation: 49-35=14, Resulting Numbers: [39, 14]
Generated Node #0,1,1: 25:[39, 14] Operation: 49-35=14
Exploring Operation: 39-35=4, Resulting Numbers: [49, 4]
Generated Node #0,1,2: 25:[49, 4] Operation: 39-35=4
Exploring Operation: 35+39=74, Resulting Numbers: [49, 74]
Generated Node #0,1,3: 25:[49, 74] Operation: 35+39=74
Exploring Operation: 35+49=84, Resulting Numbers: [39, 84]
Generated Node #0,1,4: 25:[39, 84] Operation: 35+49=84
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 25:[35, 10], Operations: ['84-35=49', '49-39=10']
Exploring Operation: 35+10=45, Resulting Numbers: [45]
45,25 unequal: No Solution
Exploring Operation: 35-10=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Moving to Node #0
Current State: 25:[84, 35, 35, 39], Operations: []
Exploring Operation: 84-35=49, Resulting Numbers: [35, 39, 49]
Generated Node #0,1: 25:[35, 39, 49] Operation: 84-35=49
Moving to Node #0,1
Current State: 25:[35, 39, 49], Operations: ['84-35=49']
Exploring Operation: 49-39=10, Resulting Numbers: [35, 10]
Generated Node #0,1,0: 25:[35, 10] Operation: 49-39=10
Moving to Node #0,1,0
Current State: 25:[35, 10], Operations: ['84-35=49', '49-39=10']
Exploring Operation: 35-10=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Exit Sub Search at level 1
| 0.977431 | hs_5 | sum_heuristic |
[
21,
70,
27,
75
] | 78 | [
"75-70=5",
"21*5=105",
"105-27=78"
] | Current State: 78:[21, 70, 27, 75], Operations: []
Exploring Operation: 75-70=5, Resulting Numbers: [21, 27, 5]
Generated Node #2: [21, 27, 5] from Operation: 75-70=5
Current State: 78:[21, 27, 5], Operations: ['75-70=5']
Exploring Operation: 21*5=105, Resulting Numbers: [27, 105]
Generated Node #3: [27, 105] from Operation: 21*5=105
Current State: 78:[27, 105], Operations: ['75-70=5', '21*5=105']
Exploring Operation: 105-27=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[21, 70, 27, 75], Operations: []
Exploring Operation: 75-70=5, Resulting Numbers: [21, 27, 5]
Generated Node #0,0: 78:[21, 27, 5] Operation: 75-70=5
Exploring Operation: 27-21=6, Resulting Numbers: [70, 75, 6]
Generated Node #0,1: 78:[70, 75, 6] Operation: 27-21=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 78:[21, 27, 5], Operations: ['75-70=5']
Exploring Operation: 21+5=26, Resulting Numbers: [27, 26]
Generated Node #0,0,0: 78:[27, 26] Operation: 21+5=26
Exploring Operation: 27-21=6, Resulting Numbers: [5, 6]
Generated Node #0,0,1: 78:[5, 6] Operation: 27-21=6
Moving to Node #0,0,0
Current State: 78:[27, 26], Operations: ['75-70=5', '21+5=26']
Exploring Operation: 27-26=1, Resulting Numbers: [1]
1,78 unequal: No Solution
Exploring Operation: 27+26=53, Resulting Numbers: [53]
53,78 unequal: No Solution
Moving to Node #0,0,1
Current State: 78:[5, 6], Operations: ['75-70=5', '27-21=6']
Exploring Operation: 5+6=11, Resulting Numbers: [11]
11,78 unequal: No Solution
Exploring Operation: 6-5=1, Resulting Numbers: [1]
1,78 unequal: No Solution
No 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: 78:[70, 75, 6], Operations: ['27-21=6']
Exploring Operation: 75-70=5, Resulting Numbers: [6, 5]
Generated Node #0,1,0: 78:[6, 5] Operation: 75-70=5
Exploring Operation: 70+6=76, Resulting Numbers: [75, 76]
Generated Node #0,1,1: 78:[75, 76] Operation: 70+6=76
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 78:[6, 5], Operations: ['27-21=6', '75-70=5']
Exploring Operation: 6+5=11, Resulting Numbers: [11]
11,78 unequal: No Solution
Exploring Operation: 6-5=1, Resulting Numbers: [1]
1,78 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: 78:[75, 76], Operations: ['27-21=6', '70+6=76']
Exploring Operation: 76-75=1, Resulting Numbers: [1]
1,78 unequal: No Solution
Exploring Operation: 75+76=151, Resulting Numbers: [151]
151,78 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 |
[
69,
78,
52,
92
] | 46 | [
"69*52=3588",
"3588/78=46",
"92-46=46"
] | Current State: 46:[69, 78, 52, 92], Operations: []
Exploring Operation: 69*52=3588, Resulting Numbers: [78, 92, 3588]
Generated Node #2: [78, 92, 3588] from Operation: 69*52=3588
Current State: 46:[78, 92, 3588], Operations: ['69*52=3588']
Exploring Operation: 3588/78=46, Resulting Numbers: [92, 46]
Generated Node #3: [92, 46] from Operation: 3588/78=46
Current State: 46:[92, 46], Operations: ['69*52=3588', '3588/78=46']
Exploring Operation: 92-46=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[69, 78, 52, 92], Operations: []
Exploring Operation: 92-69=23, Resulting Numbers: [78, 52, 23]
Generated Node #0,0: 46:[78, 52, 23] Operation: 92-69=23
Exploring Operation: 78-69=9, Resulting Numbers: [52, 92, 9]
Generated Node #0,1: 46:[52, 92, 9] Operation: 78-69=9
Exploring Operation: 92-78=14, Resulting Numbers: [69, 52, 14]
Generated Node #0,2: 46:[69, 52, 14] Operation: 92-78=14
Start Sub Search at level 1: Moving to Node #0,0
Current State: 46:[78, 52, 23], Operations: ['92-69=23']
Exploring Operation: 78-52=26, Resulting Numbers: [23, 26]
Generated Node #0,0,0: 46:[23, 26] Operation: 78-52=26
Exploring Operation: 78-23=55, Resulting Numbers: [52, 55]
Generated Node #0,0,1: 46:[52, 55] Operation: 78-23=55
Exploring Operation: 52-23=29, Resulting Numbers: [78, 29]
Generated Node #0,0,2: 46:[78, 29] Operation: 52-23=29
Moving to Node #0,0,0
Current State: 46:[23, 26], Operations: ['92-69=23', '78-52=26']
Exploring Operation: 23*26=598, Resulting Numbers: [598]
598,46 unequal: No Solution
Exploring Operation: 26-23=3, Resulting Numbers: [3]
3,46 unequal: No Solution
Exploring Operation: 23+26=49, Resulting Numbers: [49]
49,46 unequal: No Solution
Moving to Node #0,0,1
Current State: 46:[52, 55], Operations: ['92-69=23', '78-23=55']
Exploring Operation: 52+55=107, Resulting Numbers: [107]
107,46 unequal: No Solution
Exploring Operation: 55-52=3, Resulting Numbers: [3]
3,46 unequal: No Solution
Exploring Operation: 52*55=2860, Resulting Numbers: [2860]
2860,46 unequal: No Solution
Moving to Node #0,0,2
Current State: 46:[78, 29], Operations: ['92-69=23', '52-23=29']
Exploring Operation: 78+29=107, Resulting Numbers: [107]
107,46 unequal: No Solution
Exploring Operation: 78*29=2262, Resulting Numbers: [2262]
2262,46 unequal: No Solution
Exploring Operation: 78-29=49, Resulting Numbers: [49]
49,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 46:[69, 52, 14], Operations: ['92-78=14']
Exploring Operation: 69-14=55, Resulting Numbers: [52, 55]
Generated Node #0,2,0: 46:[52, 55] Operation: 69-14=55
Exploring Operation: 69-52=17, Resulting Numbers: [14, 17]
Generated Node #0,2,1: 46:[14, 17] Operation: 69-52=17
Exploring Operation: 52-14=38, Resulting Numbers: [69, 38]
Generated Node #0,2,2: 46:[69, 38] Operation: 52-14=38
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 46:[52, 55], Operations: ['92-78=14', '69-14=55']
Exploring Operation: 55-52=3, Resulting Numbers: [3]
3,46 unequal: No Solution
Exploring Operation: 52*55=2860, Resulting Numbers: [2860]
2860,46 unequal: No Solution
Exploring Operation: 52+55=107, Resulting Numbers: [107]
107,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 46:[14, 17], Operations: ['92-78=14', '69-52=17']
Exploring Operation: 14*17=238, Resulting Numbers: [238]
238,46 unequal: No Solution
Exploring Operation: 17-14=3, Resulting Numbers: [3]
3,46 unequal: No Solution
Exploring Operation: 14+17=31, Resulting Numbers: [31]
31,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 46:[69, 38], Operations: ['92-78=14', '52-14=38']
Exploring Operation: 69-38=31, Resulting Numbers: [31]
31,46 unequal: No Solution
Exploring Operation: 69+38=107, Resulting Numbers: [107]
107,46 unequal: No Solution
Exploring Operation: 69*38=2622, Resulting Numbers: [2622]
2622,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 46:[52, 92, 9], Operations: ['78-69=9']
Exploring Operation: 52-9=43, Resulting Numbers: [92, 43]
Generated Node #0,1,0: 46:[92, 43] Operation: 52-9=43
Exploring Operation: 92-9=83, Resulting Numbers: [52, 83]
Generated Node #0,1,1: 46:[52, 83] Operation: 92-9=83
Exploring Operation: 92-52=40, Resulting Numbers: [9, 40]
Generated Node #0,1,2: 46:[9, 40] Operation: 92-52=40
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 46:[9, 40], Operations: ['78-69=9', '92-52=40']
Exploring Operation: 9*40=360, Resulting Numbers: [360]
360,46 unequal: No Solution
Exploring Operation: 9+40=49, Resulting Numbers: [49]
49,46 unequal: No Solution
Exploring Operation: 40-9=31, Resulting Numbers: [31]
31,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 46:[52, 83], Operations: ['78-69=9', '92-9=83']
Exploring Operation: 52*83=4316, Resulting Numbers: [4316]
4316,46 unequal: No Solution
Exploring Operation: 52+83=135, Resulting Numbers: [135]
135,46 unequal: No Solution
Exploring Operation: 83-52=31, Resulting Numbers: [31]
31,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 46:[92, 43], Operations: ['78-69=9', '52-9=43']
Exploring Operation: 92-43=49, Resulting Numbers: [49]
49,46 unequal: No Solution
Exploring Operation: 92*43=3956, Resulting Numbers: [3956]
3956,46 unequal: No Solution
Exploring Operation: 92+43=135, Resulting Numbers: [135]
135,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
78,
26,
7,
51
] | 41 | [
"78/26=3",
"51-7=44",
"44-3=41"
] | Current State: 41:[78, 26, 7, 51], Operations: []
Exploring Operation: 78/26=3, Resulting Numbers: [7, 51, 3]
Generated Node #2: [7, 51, 3] from Operation: 78/26=3
Current State: 41:[7, 51, 3], Operations: ['78/26=3']
Exploring Operation: 51-7=44, Resulting Numbers: [3, 44]
Generated Node #3: [3, 44] from Operation: 51-7=44
Current State: 41:[3, 44], Operations: ['78/26=3', '51-7=44']
Exploring Operation: 44-3=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[78, 26, 7, 51], Operations: []
Exploring Operation: 26+7=33, Resulting Numbers: [78, 51, 33]
Generated Node #0,0: 41:[78, 51, 33] Operation: 26+7=33
Exploring Operation: 78-7=71, Resulting Numbers: [26, 51, 71]
Generated Node #0,1: 41:[26, 51, 71] Operation: 78-7=71
Exploring Operation: 78-26=52, Resulting Numbers: [7, 51, 52]
Generated Node #0,2: 41:[7, 51, 52] Operation: 78-26=52
Moving to Node #0,0
Current State: 41:[78, 51, 33], Operations: ['26+7=33']
Exploring Operation: 78-33=45, Resulting Numbers: [51, 45]
Generated Node #0,0,0: 41:[51, 45] Operation: 78-33=45
Exploring Operation: 78-51=27, Resulting Numbers: [33, 27]
Generated Node #0,0,1: 41:[33, 27] Operation: 78-51=27
Exploring Operation: 51-33=18, Resulting Numbers: [78, 18]
Generated Node #0,0,2: 41:[78, 18] Operation: 51-33=18
Moving to Node #0,1
Current State: 41:[26, 51, 71], Operations: ['78-7=71']
Exploring Operation: 51-26=25, Resulting Numbers: [71, 25]
Generated Node #0,1,0: 41:[71, 25] Operation: 51-26=25
Exploring Operation: 71-51=20, Resulting Numbers: [26, 20]
Generated Node #0,1,1: 41:[26, 20] Operation: 71-51=20
Exploring Operation: 71-26=45, Resulting Numbers: [51, 45]
Generated Node #0,1,2: 41:[51, 45] Operation: 71-26=45
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 41:[51, 45], Operations: ['78-7=71', '71-26=45']
Exploring Operation: 51-45=6, Resulting Numbers: [6]
6,41 unequal: No Solution
Exploring Operation: 51*45=2295, Resulting Numbers: [2295]
2295,41 unequal: No Solution
Exploring Operation: 51+45=96, Resulting Numbers: [96]
96,41 unequal: No Solution
No 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: 41:[26, 20], Operations: ['78-7=71', '71-51=20']
Exploring Operation: 26*20=520, Resulting Numbers: [520]
520,41 unequal: No Solution
Exploring Operation: 26-20=6, Resulting Numbers: [6]
6,41 unequal: No Solution
Exploring Operation: 26+20=46, Resulting Numbers: [46]
46,41 unequal: No Solution
No 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: 41:[71, 25], Operations: ['78-7=71', '51-26=25']
Exploring Operation: 71-25=46, Resulting Numbers: [46]
46,41 unequal: No Solution
Exploring Operation: 71*25=1775, Resulting Numbers: [1775]
1775,41 unequal: No Solution
Exploring Operation: 71+25=96, Resulting Numbers: [96]
96,41 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: 41:[7, 51, 52], Operations: ['78-26=52']
Exploring Operation: 52-7=45, Resulting Numbers: [51, 45]
Generated Node #0,2,0: 41:[51, 45] Operation: 52-7=45
Exploring Operation: 51-7=44, Resulting Numbers: [52, 44]
Generated Node #0,2,1: 41:[52, 44] Operation: 51-7=44
Exploring Operation: 7+51=58, Resulting Numbers: [52, 58]
Generated Node #0,2,2: 41:[52, 58] Operation: 7+51=58
Moving to Node #0,0,0
Current State: 41:[51, 45], Operations: ['26+7=33', '78-33=45']
Exploring Operation: 51*45=2295, Resulting Numbers: [2295]
2295,41 unequal: No Solution
Exploring Operation: 51+45=96, Resulting Numbers: [96]
96,41 unequal: No Solution
Exploring Operation: 51-45=6, Resulting Numbers: [6]
6,41 unequal: No Solution
Moving to Node #0,2,0
Current State: 41:[51, 45], Operations: ['78-26=52', '52-7=45']
Exploring Operation: 51*45=2295, Resulting Numbers: [2295]
2295,41 unequal: No Solution
Exploring Operation: 51+45=96, Resulting Numbers: [96]
96,41 unequal: No Solution
Exploring Operation: 51-45=6, Resulting Numbers: [6]
6,41 unequal: No Solution
Moving to Node #0,2,1
Current State: 41:[52, 44], Operations: ['78-26=52', '51-7=44']
Exploring Operation: 52-44=8, Resulting Numbers: [8]
8,41 unequal: No Solution
Exploring Operation: 52+44=96, Resulting Numbers: [96]
96,41 unequal: No Solution
Exploring Operation: 52*44=2288, Resulting Numbers: [2288]
2288,41 unequal: No Solution
Moving to Node #0,0,1
Current State: 41:[33, 27], Operations: ['26+7=33', '78-51=27']
Exploring Operation: 33*27=891, Resulting Numbers: [891]
891,41 unequal: No Solution
Exploring Operation: 33+27=60, Resulting Numbers: [60]
60,41 unequal: No Solution
Exploring Operation: 33-27=6, Resulting Numbers: [6]
6,41 unequal: No Solution
Moving to Node #0,2,2
Current State: 41:[52, 58], Operations: ['78-26=52', '7+51=58']
Exploring Operation: 58-52=6, Resulting Numbers: [6]
6,41 unequal: No Solution
Exploring Operation: 52*58=3016, Resulting Numbers: [3016]
3016,41 unequal: No Solution
Exploring Operation: 52+58=110, Resulting Numbers: [110]
110,41 unequal: No Solution
Moving to Node #0,0,2
Current State: 41:[78, 18], Operations: ['26+7=33', '51-33=18']
Exploring Operation: 78*18=1404, Resulting Numbers: [1404]
1404,41 unequal: No Solution
Exploring Operation: 78+18=96, Resulting Numbers: [96]
96,41 unequal: No Solution
Exploring Operation: 78-18=60, Resulting Numbers: [60]
60,41 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
60,
60,
53,
2
] | 53 | [
"60-60=0",
"2*0=0",
"53+0=53"
] | Current State: 53:[60, 60, 53, 2], Operations: []
Exploring Operation: 60-60=0, Resulting Numbers: [53, 2, 0]
Generated Node #2: [53, 2, 0] from Operation: 60-60=0
Current State: 53:[53, 2, 0], Operations: ['60-60=0']
Exploring Operation: 2*0=0, Resulting Numbers: [53, 0]
Generated Node #3: [53, 0] from Operation: 2*0=0
Current State: 53:[53, 0], Operations: ['60-60=0', '2*0=0']
Exploring Operation: 53+0=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[60, 60, 53, 2], Operations: []
Exploring Operation: 60-2=58, Resulting Numbers: [60, 53, 58]
Generated Node #0,0: 53:[60, 53, 58] Operation: 60-2=58
Exploring Operation: 60-2=58, Resulting Numbers: [60, 53, 58]
Generated Node #0,1: 53:[60, 53, 58] Operation: 60-2=58
Moving to Node #0,0
Current State: 53:[60, 53, 58], Operations: ['60-2=58']
Exploring Operation: 60-53=7, Resulting Numbers: [58, 7]
Generated Node #0,0,0: 53:[58, 7] Operation: 60-53=7
Exploring Operation: 60-58=2, Resulting Numbers: [53, 2]
Generated Node #0,0,1: 53:[53, 2] Operation: 60-58=2
Moving to Node #0,1
Current State: 53:[60, 53, 58], Operations: ['60-2=58']
Exploring Operation: 60-58=2, Resulting Numbers: [53, 2]
Generated Node #0,1,0: 53:[53, 2] Operation: 60-58=2
Exploring Operation: 60-53=7, Resulting Numbers: [58, 7]
Generated Node #0,1,1: 53:[58, 7] Operation: 60-53=7
Moving to Node #0,0,0
Current State: 53:[58, 7], Operations: ['60-2=58', '60-53=7']
Exploring Operation: 58-7=51, Resulting Numbers: [51]
51,53 unequal: No Solution
Exploring Operation: 58+7=65, Resulting Numbers: [65]
65,53 unequal: No Solution
Moving to Node #0,1,0
Current State: 53:[53, 2], Operations: ['60-2=58', '60-58=2']
Exploring Operation: 53-2=51, Resulting Numbers: [51]
51,53 unequal: No Solution
Exploring Operation: 53+2=55, Resulting Numbers: [55]
55,53 unequal: No Solution
Moving to Node #0,0,1
Current State: 53:[53, 2], Operations: ['60-2=58', '60-58=2']
Exploring Operation: 53+2=55, Resulting Numbers: [55]
55,53 unequal: No Solution
Exploring Operation: 53-2=51, Resulting Numbers: [51]
51,53 unequal: No Solution
Moving to Node #0,1,1
Current State: 53:[58, 7], Operations: ['60-2=58', '60-53=7']
Exploring Operation: 58-7=51, Resulting Numbers: [51]
51,53 unequal: No Solution
Exploring Operation: 58+7=65, Resulting Numbers: [65]
65,53 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
29,
84,
28,
69
] | 72 | [
"29+84=113",
"69-28=41",
"113-41=72"
] | Current State: 72:[29, 84, 28, 69], Operations: []
Exploring Operation: 29+84=113, Resulting Numbers: [28, 69, 113]
Generated Node #2: [28, 69, 113] from Operation: 29+84=113
Current State: 72:[28, 69, 113], Operations: ['29+84=113']
Exploring Operation: 69-28=41, Resulting Numbers: [113, 41]
Generated Node #3: [113, 41] from Operation: 69-28=41
Current State: 72:[113, 41], Operations: ['29+84=113', '69-28=41']
Exploring Operation: 113-41=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[29, 84, 28, 69], Operations: []
Exploring Operation: 84/28=3, Resulting Numbers: [29, 69, 3]
Generated Node #0,0: 72:[29, 69, 3] Operation: 84/28=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 72:[29, 69, 3], Operations: ['84/28=3']
Exploring Operation: 69-29=40, Resulting Numbers: [3, 40]
Generated Node #0,0,0: 72:[3, 40] Operation: 69-29=40
Moving to Node #0,0,0
Current State: 72:[3, 40], Operations: ['84/28=3', '69-29=40']
Exploring Operation: 40-3=37, Resulting Numbers: [37]
37,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
36,
18,
46,
79
] | 51 | [
"36-18=18",
"79-46=33",
"18+33=51"
] | Current State: 51:[36, 18, 46, 79], Operations: []
Exploring Operation: 36-18=18, Resulting Numbers: [46, 79, 18]
Generated Node #2: [46, 79, 18] from Operation: 36-18=18
Current State: 51:[46, 79, 18], Operations: ['36-18=18']
Exploring Operation: 79-46=33, Resulting Numbers: [18, 33]
Generated Node #3: [18, 33] from Operation: 79-46=33
Current State: 51:[18, 33], Operations: ['36-18=18', '79-46=33']
Exploring Operation: 18+33=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[36, 18, 46, 79], Operations: []
Exploring Operation: 79-46=33, Resulting Numbers: [36, 18, 33]
Generated Node #0,0: 51:[36, 18, 33] Operation: 79-46=33
Exploring Operation: 79-18=61, Resulting Numbers: [36, 46, 61]
Generated Node #0,1: 51:[36, 46, 61] Operation: 79-18=61
Exploring Operation: 79-36=43, Resulting Numbers: [18, 46, 43]
Generated Node #0,2: 51:[18, 46, 43] Operation: 79-36=43
Exploring Operation: 36-18=18, Resulting Numbers: [46, 79, 18]
Generated Node #0,3: 51:[46, 79, 18] Operation: 36-18=18
Moving to Node #0,2
Current State: 51:[18, 46, 43], Operations: ['79-36=43']
Exploring Operation: 43-18=25, Resulting Numbers: [46, 25]
Generated Node #0,2,0: 51:[46, 25] Operation: 43-18=25
Exploring Operation: 46-43=3, Resulting Numbers: [18, 3]
Generated Node #0,2,1: 51:[18, 3] Operation: 46-43=3
Exploring Operation: 18+43=61, Resulting Numbers: [46, 61]
Generated Node #0,2,2: 51:[46, 61] Operation: 18+43=61
Exploring Operation: 46-18=28, Resulting Numbers: [43, 28]
Generated Node #0,2,3: 51:[43, 28] Operation: 46-18=28
Moving to Node #0,1
Current State: 51:[36, 46, 61], Operations: ['79-18=61']
Exploring Operation: 46-36=10, Resulting Numbers: [61, 10]
Generated Node #0,1,0: 51:[61, 10] Operation: 46-36=10
Exploring Operation: 61-36=25, Resulting Numbers: [46, 25]
Generated Node #0,1,1: 51:[46, 25] Operation: 61-36=25
Exploring Operation: 61-46=15, Resulting Numbers: [36, 15]
Generated Node #0,1,2: 51:[36, 15] Operation: 61-46=15
Exploring Operation: 36+46=82, Resulting Numbers: [61, 82]
Generated Node #0,1,3: 51:[61, 82] Operation: 36+46=82
Moving to Node #0,0
Current State: 51:[36, 18, 33], Operations: ['79-46=33']
Exploring Operation: 36-33=3, Resulting Numbers: [18, 3]
Generated Node #0,0,0: 51:[18, 3] Operation: 36-33=3
Exploring Operation: 36/18=2, Resulting Numbers: [33, 2]
Generated Node #0,0,1: 51:[33, 2] Operation: 36/18=2
Exploring Operation: 36-18=18, Resulting Numbers: [33, 18]
Generated Node #0,0,2: 51:[33, 18] Operation: 36-18=18
Exploring Operation: 18+33=51, Resulting Numbers: [36, 51]
Generated Node #0,0,3: 51:[36, 51] Operation: 18+33=51
Moving to Node #0,3
Current State: 51:[46, 79, 18], Operations: ['36-18=18']
Exploring Operation: 46-18=28, Resulting Numbers: [79, 28]
Generated Node #0,3,0: 51:[79, 28] Operation: 46-18=28
Exploring Operation: 79-46=33, Resulting Numbers: [18, 33]
Generated Node #0,3,1: 51:[18, 33] Operation: 79-46=33
Exploring Operation: 46+18=64, Resulting Numbers: [79, 64]
Generated Node #0,3,2: 51:[79, 64] Operation: 46+18=64
Exploring Operation: 79-18=61, Resulting Numbers: [46, 61]
Generated Node #0,3,3: 51:[46, 61] Operation: 79-18=61
Moving to Node #0,2,1
Current State: 51:[18, 3], Operations: ['79-36=43', '46-43=3']
Exploring Operation: 18-3=15, Resulting Numbers: [15]
15,51 unequal: No Solution
Exploring Operation: 18+3=21, Resulting Numbers: [21]
21,51 unequal: No Solution
Exploring Operation: 18/3=6, Resulting Numbers: [6]
6,51 unequal: No Solution
Exploring Operation: 18*3=54, Resulting Numbers: [54]
54,51 unequal: No Solution
Moving to Node #0,0,0
Current State: 51:[18, 3], Operations: ['79-46=33', '36-33=3']
Exploring Operation: 18-3=15, Resulting Numbers: [15]
15,51 unequal: No Solution
Exploring Operation: 18*3=54, Resulting Numbers: [54]
54,51 unequal: No Solution
Exploring Operation: 18/3=6, Resulting Numbers: [6]
6,51 unequal: No Solution
Exploring Operation: 18+3=21, Resulting Numbers: [21]
21,51 unequal: No Solution
Moving to Node #0,1,1
Current State: 51:[46, 25], Operations: ['79-18=61', '61-36=25']
Exploring Operation: 46+25=71, Resulting Numbers: [71]
71,51 unequal: No Solution
Exploring Operation: 46-25=21, Resulting Numbers: [21]
21,51 unequal: No Solution
Exploring Operation: 46*25=1150, Resulting Numbers: [1150]
1150,51 unequal: No Solution
Moving to Node #0,2,0
Current State: 51:[46, 25], Operations: ['79-36=43', '43-18=25']
Exploring Operation: 46+25=71, Resulting Numbers: [71]
71,51 unequal: No Solution
Exploring Operation: 46*25=1150, Resulting Numbers: [1150]
1150,51 unequal: No Solution
Exploring Operation: 46-25=21, Resulting Numbers: [21]
21,51 unequal: No Solution
Moving to Node #0,2,2
Current State: 51:[46, 61], Operations: ['79-36=43', '18+43=61']
Exploring Operation: 61-46=15, Resulting Numbers: [15]
15,51 unequal: No Solution
Exploring Operation: 46*61=2806, Resulting Numbers: [2806]
2806,51 unequal: No Solution
Exploring Operation: 46+61=107, Resulting Numbers: [107]
107,51 unequal: No Solution
Moving to Node #0,3,3
Current State: 51:[46, 61], Operations: ['36-18=18', '79-18=61']
Exploring Operation: 46+61=107, Resulting Numbers: [107]
107,51 unequal: No Solution
Exploring Operation: 61-46=15, Resulting Numbers: [15]
15,51 unequal: No Solution
Exploring Operation: 46*61=2806, Resulting Numbers: [2806]
2806,51 unequal: No Solution
Moving to Node #0,0,3
Current State: 51:[36, 51], Operations: ['79-46=33', '18+33=51']
Exploring Operation: 51-36=15, Resulting Numbers: [15]
15,51 unequal: No Solution
Exploring Operation: 36*51=1836, Resulting Numbers: [1836]
1836,51 unequal: No Solution
Exploring Operation: 36+51=87, Resulting Numbers: [87]
87,51 unequal: No Solution
Moving to Node #0,1,2
Current State: 51:[36, 15], Operations: ['79-18=61', '61-46=15']
Exploring Operation: 36+15=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Moving to Node #0
Current State: 51:[36, 18, 46, 79], Operations: []
Exploring Operation: 79-18=61, Resulting Numbers: [36, 46, 61]
Generated Node #0,1: 51:[36, 46, 61] Operation: 79-18=61
Moving to Node #0,1
Current State: 51:[36, 46, 61], Operations: ['79-18=61']
Exploring Operation: 61-46=15, Resulting Numbers: [36, 15]
Generated Node #0,1,2: 51:[36, 15] Operation: 61-46=15
Moving to Node #0,1,2
Current State: 51:[36, 15], Operations: ['79-18=61', '61-46=15']
Exploring Operation: 36+15=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 0.958333 | hs_4 | mult_heuristic |
[
21,
71,
46,
54
] | 58 | [
"71-21=50",
"54-46=8",
"50+8=58"
] | Current State: 58:[21, 71, 46, 54], Operations: []
Exploring Operation: 71-21=50, Resulting Numbers: [46, 54, 50]
Generated Node #2: [46, 54, 50] from Operation: 71-21=50
Current State: 58:[46, 54, 50], Operations: ['71-21=50']
Exploring Operation: 54-46=8, Resulting Numbers: [50, 8]
Generated Node #3: [50, 8] from Operation: 54-46=8
Current State: 58:[50, 8], Operations: ['71-21=50', '54-46=8']
Exploring Operation: 50+8=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[21, 71, 46, 54], Operations: []
Exploring Operation: 71-46=25, Resulting Numbers: [21, 54, 25]
Generated Node #0,0: 58:[21, 54, 25] Operation: 71-46=25
Exploring Operation: 46-21=25, Resulting Numbers: [71, 54, 25]
Generated Node #0,1: 58:[71, 54, 25] Operation: 46-21=25
Exploring Operation: 71-21=50, Resulting Numbers: [46, 54, 50]
Generated Node #0,2: 58:[46, 54, 50] Operation: 71-21=50
Start Sub Search at level 1: Moving to Node #0,0
Current State: 58:[21, 54, 25], Operations: ['71-46=25']
Exploring Operation: 54-21=33, Resulting Numbers: [25, 33]
Generated Node #0,0,0: 58:[25, 33] Operation: 54-21=33
Exploring Operation: 25-21=4, Resulting Numbers: [54, 4]
Generated Node #0,0,1: 58:[54, 4] Operation: 25-21=4
Exploring Operation: 54-25=29, Resulting Numbers: [21, 29]
Generated Node #0,0,2: 58:[21, 29] Operation: 54-25=29
Moving to Node #0,0,1
Current State: 58:[54, 4], Operations: ['71-46=25', '25-21=4']
Exploring Operation: 54*4=216, Resulting Numbers: [216]
216,58 unequal: No Solution
Exploring Operation: 54-4=50, Resulting Numbers: [50]
50,58 unequal: No Solution
Exploring Operation: 54+4=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Moving to Node #0
Current State: 58:[21, 71, 46, 54], Operations: []
Exploring Operation: 71-46=25, Resulting Numbers: [21, 54, 25]
Generated Node #0,0: 58:[21, 54, 25] Operation: 71-46=25
Moving to Node #0,0
Current State: 58:[21, 54, 25], Operations: ['71-46=25']
Exploring Operation: 25-21=4, Resulting Numbers: [54, 4]
Generated Node #0,0,1: 58:[54, 4] Operation: 25-21=4
Moving to Node #0,0,1
Current State: 58:[54, 4], Operations: ['71-46=25', '25-21=4']
Exploring Operation: 54+4=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_3 | mult_heuristic |
[
34,
4,
4,
76
] | 44 | [
"34-4=30",
"4*30=120",
"120-76=44"
] | Current State: 44:[34, 4, 4, 76], Operations: []
Exploring Operation: 34-4=30, Resulting Numbers: [76, 30]
Generated Node #2: [76, 30] from Operation: 34-4=30
Current State: 44:[76, 30], Operations: ['34-4=30']
Exploring Operation: 4*30=120, Resulting Numbers: [76, 120]
Generated Node #3: [76, 120] from Operation: 4*30=120
Current State: 44:[76, 120], Operations: ['34-4=30', '4*30=120']
Exploring Operation: 120-76=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[34, 4, 4, 76], Operations: []
Exploring Operation: 76/4=19, Resulting Numbers: [34, 4, 19]
Generated Node #0,0: 44:[34, 4, 19] Operation: 76/4=19
Exploring Operation: 76/4=19, Resulting Numbers: [34, 4, 19]
Generated Node #0,1: 44:[34, 4, 19] Operation: 76/4=19
Exploring Operation: 76-34=42, Resulting Numbers: [4, 4, 42]
Generated Node #0,2: 44:[4, 4, 42] Operation: 76-34=42
Moving to Node #0,2
Current State: 44:[4, 4, 42], Operations: ['76-34=42']
Exploring Operation: 4+42=46, Resulting Numbers: [4, 46]
Generated Node #0,2,0: 44:[4, 46] Operation: 4+42=46
Exploring Operation: 4+42=46, Resulting Numbers: [4, 46]
Generated Node #0,2,1: 44:[4, 46] Operation: 4+42=46
Exploring Operation: 4/4=1, Resulting Numbers: [42, 1]
Generated Node #0,2,2: 44:[42, 1] Operation: 4/4=1
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 44:[4, 46], Operations: ['76-34=42', '4+42=46']
Exploring Operation: 4*46=184, Resulting Numbers: [184]
184,44 unequal: No Solution
Exploring Operation: 46-4=42, Resulting Numbers: [42]
42,44 unequal: No Solution
Exploring Operation: 4+46=50, Resulting Numbers: [50]
50,44 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 #0,2,1
Current State: 44:[4, 46], Operations: ['76-34=42', '4+42=46']
Exploring Operation: 4*46=184, Resulting Numbers: [184]
184,44 unequal: No Solution
Exploring Operation: 4+46=50, Resulting Numbers: [50]
50,44 unequal: No Solution
Exploring Operation: 46-4=42, Resulting Numbers: [42]
42,44 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:[42, 1], Operations: ['76-34=42', '4/4=1']
Exploring Operation: 42/1=42, Resulting Numbers: [42]
42,44 unequal: No Solution
Exploring Operation: 42+1=43, Resulting Numbers: [43]
43,44 unequal: No Solution
Exploring Operation: 42*1=42, Resulting Numbers: [42]
42,44 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:[34, 4, 19], Operations: ['76/4=19']
Exploring Operation: 34+19=53, Resulting Numbers: [4, 53]
Generated Node #0,0,0: 44:[4, 53] Operation: 34+19=53
Exploring Operation: 34+4=38, Resulting Numbers: [19, 38]
Generated Node #0,0,1: 44:[19, 38] Operation: 34+4=38
Exploring Operation: 34-19=15, Resulting Numbers: [4, 15]
Generated Node #0,0,2: 44:[4, 15] Operation: 34-19=15
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 44:[4, 15], Operations: ['76/4=19', '34-19=15']
Exploring Operation: 4*15=60, Resulting Numbers: [60]
60,44 unequal: No Solution
Exploring Operation: 15-4=11, Resulting Numbers: [11]
11,44 unequal: No Solution
Exploring Operation: 4+15=19, Resulting Numbers: [19]
19,44 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 #0,0,0
Current State: 44:[4, 53], Operations: ['76/4=19', '34+19=53']
Exploring Operation: 4+53=57, Resulting Numbers: [57]
57,44 unequal: No Solution
Exploring Operation: 53-4=49, Resulting Numbers: [49]
49,44 unequal: No Solution
Exploring Operation: 4*53=212, Resulting Numbers: [212]
212,44 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 #0,0,1
Current State: 44:[19, 38], Operations: ['76/4=19', '34+4=38']
Exploring Operation: 19+38=57, Resulting Numbers: [57]
57,44 unequal: No Solution
Exploring Operation: 38/19=2, Resulting Numbers: [2]
2,44 unequal: No Solution
Exploring Operation: 38-19=19, Resulting Numbers: [19]
19,44 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: 44:[34, 4, 19], Operations: ['76/4=19']
Exploring Operation: 34+19=53, Resulting Numbers: [4, 53]
Generated Node #0,1,0: 44:[4, 53] Operation: 34+19=53
Exploring Operation: 34+4=38, Resulting Numbers: [19, 38]
Generated Node #0,1,1: 44:[19, 38] Operation: 34+4=38
Exploring Operation: 34-19=15, Resulting Numbers: [4, 15]
Generated Node #0,1,2: 44:[4, 15] Operation: 34-19=15
Moving to Node #0,1,2
Current State: 44:[4, 15], Operations: ['76/4=19', '34-19=15']
Exploring Operation: 4+15=19, Resulting Numbers: [19]
19,44 unequal: No Solution
Exploring Operation: 15-4=11, Resulting Numbers: [11]
11,44 unequal: No Solution
Exploring Operation: 4*15=60, Resulting Numbers: [60]
60,44 unequal: No Solution
Moving to Node #0,1,0
Current State: 44:[4, 53], Operations: ['76/4=19', '34+19=53']
Exploring Operation: 4*53=212, Resulting Numbers: [212]
212,44 unequal: No Solution
Exploring Operation: 4+53=57, Resulting Numbers: [57]
57,44 unequal: No Solution
Exploring Operation: 53-4=49, Resulting Numbers: [49]
49,44 unequal: No Solution
Moving to Node #0,1,1
Current State: 44:[19, 38], Operations: ['76/4=19', '34+4=38']
Exploring Operation: 38-19=19, Resulting Numbers: [19]
19,44 unequal: No Solution
Exploring Operation: 19+38=57, Resulting Numbers: [57]
57,44 unequal: No Solution
Exploring Operation: 38/19=2, Resulting Numbers: [2]
2,44 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
76,
11,
8,
65
] | 33 | [
"76-8=68",
"68-65=3",
"11*3=33"
] | Current State: 33:[76, 11, 8, 65], Operations: []
Exploring Operation: 76-8=68, Resulting Numbers: [11, 65, 68]
Generated Node #2: [11, 65, 68] from Operation: 76-8=68
Current State: 33:[11, 65, 68], Operations: ['76-8=68']
Exploring Operation: 68-65=3, Resulting Numbers: [11, 3]
Generated Node #3: [11, 3] from Operation: 68-65=3
Current State: 33:[11, 3], Operations: ['76-8=68', '68-65=3']
Exploring Operation: 11*3=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[76, 11, 8, 65], Operations: []
Exploring Operation: 76-65=11, Resulting Numbers: [11, 8, 11]
Generated Node #0,0: 33:[11, 8, 11] Operation: 76-65=11
Start Sub Search at level 1: Moving to Node #0,0
Current State: 33:[11, 8, 11], Operations: ['76-65=11']
Exploring Operation: 11-8=3, Resulting Numbers: [11, 3]
Generated Node #0,0,0: 33:[11, 3] Operation: 11-8=3
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 33:[11, 3], Operations: ['76-65=11', '11-8=3']
Exploring Operation: 11*3=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Moving to Node #0
Current State: 33:[76, 11, 8, 65], Operations: []
Exploring Operation: 76-65=11, Resulting Numbers: [11, 8, 11]
Generated Node #0,0: 33:[11, 8, 11] Operation: 76-65=11
Moving to Node #0,0
Current State: 33:[11, 8, 11], Operations: ['76-65=11']
Exploring Operation: 11-8=3, Resulting Numbers: [11, 3]
Generated Node #0,0,0: 33:[11, 3] Operation: 11-8=3
Moving to Node #0,0,0
Current State: 33:[11, 3], Operations: ['76-65=11', '11-8=3']
Exploring Operation: 11*3=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
33,
26,
99,
66
] | 23 | [
"66-33=33",
"99/33=3",
"26-3=23"
] | Current State: 23:[33, 26, 99, 66], Operations: []
Exploring Operation: 66-33=33, Resulting Numbers: [26, 99, 33]
Generated Node #2: [26, 99, 33] from Operation: 66-33=33
Current State: 23:[26, 99, 33], Operations: ['66-33=33']
Exploring Operation: 99/33=3, Resulting Numbers: [26, 3]
Generated Node #3: [26, 3] from Operation: 99/33=3
Current State: 23:[26, 3], Operations: ['66-33=33', '99/33=3']
Exploring Operation: 26-3=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[33, 26, 99, 66], Operations: []
Exploring Operation: 99-66=33, Resulting Numbers: [33, 26, 33]
Generated Node #0,0: 23:[33, 26, 33] Operation: 99-66=33
Exploring Operation: 99/33=3, Resulting Numbers: [26, 66, 3]
Generated Node #0,1: 23:[26, 66, 3] Operation: 99/33=3
Exploring Operation: 99-33=66, Resulting Numbers: [26, 66, 66]
Generated Node #0,2: 23:[26, 66, 66] Operation: 99-33=66
Moving to Node #0,0
Current State: 23:[33, 26, 33], Operations: ['99-66=33']
Exploring Operation: 33-26=7, Resulting Numbers: [33, 7]
Generated Node #0,0,0: 23:[33, 7] Operation: 33-26=7
Exploring Operation: 33/33=1, Resulting Numbers: [26, 1]
Generated Node #0,0,1: 23:[26, 1] Operation: 33/33=1
Exploring Operation: 33-33=0, Resulting Numbers: [26, 0]
Generated Node #0,0,2: 23:[26, 0] Operation: 33-33=0
Moving to Node #0,1
Current State: 23:[26, 66, 3], Operations: ['99/33=3']
Exploring Operation: 66/3=22, Resulting Numbers: [26, 22]
Generated Node #0,1,0: 23:[26, 22] Operation: 66/3=22
Exploring Operation: 66-26=40, Resulting Numbers: [3, 40]
Generated Node #0,1,1: 23:[3, 40] Operation: 66-26=40
Exploring Operation: 26-3=23, Resulting Numbers: [66, 23]
Generated Node #0,1,2: 23:[66, 23] Operation: 26-3=23
Moving to Node #0,2
Current State: 23:[26, 66, 66], Operations: ['99-33=66']
Exploring Operation: 66-26=40, Resulting Numbers: [66, 40]
Generated Node #0,2,0: 23:[66, 40] Operation: 66-26=40
Exploring Operation: 66-66=0, Resulting Numbers: [26, 0]
Generated Node #0,2,1: 23:[26, 0] Operation: 66-66=0
Exploring Operation: 66/66=1, Resulting Numbers: [26, 1]
Generated Node #0,2,2: 23:[26, 1] Operation: 66/66=1
Moving to Node #0,1,0
Current State: 23:[26, 22], Operations: ['99/33=3', '66/3=22']
Exploring Operation: 26*22=572, Resulting Numbers: [572]
572,23 unequal: No Solution
Exploring Operation: 26+22=48, Resulting Numbers: [48]
48,23 unequal: No Solution
Exploring Operation: 26-22=4, Resulting Numbers: [4]
4,23 unequal: No Solution
Moving to Node #0,2,2
Current State: 23:[26, 1], Operations: ['99-33=66', '66/66=1']
Exploring Operation: 26-1=25, Resulting Numbers: [25]
25,23 unequal: No Solution
Exploring Operation: 26/1=26, Resulting Numbers: [26]
26,23 unequal: No Solution
Exploring Operation: 26*1=26, Resulting Numbers: [26]
26,23 unequal: No Solution
Moving to Node #0,0,1
Current State: 23:[26, 1], Operations: ['99-66=33', '33/33=1']
Exploring Operation: 26/1=26, Resulting Numbers: [26]
26,23 unequal: No Solution
Exploring Operation: 26*1=26, Resulting Numbers: [26]
26,23 unequal: No Solution
Exploring Operation: 26-1=25, Resulting Numbers: [25]
25,23 unequal: No Solution
Moving to Node #0,0,2
Current State: 23:[26, 0], Operations: ['99-66=33', '33-33=0']
Exploring Operation: 26+0=26, Resulting Numbers: [26]
26,23 unequal: No Solution
Exploring Operation: 26-0=26, Resulting Numbers: [26]
26,23 unequal: No Solution
Exploring Operation: 26*0=0, Resulting Numbers: [0]
0,23 unequal: No Solution
Moving to Node #0,0,0
Current State: 23:[33, 7], Operations: ['99-66=33', '33-26=7']
Exploring Operation: 33-7=26, Resulting Numbers: [26]
26,23 unequal: No Solution
Exploring Operation: 33*7=231, Resulting Numbers: [231]
231,23 unequal: No Solution
Exploring Operation: 33+7=40, Resulting Numbers: [40]
40,23 unequal: No Solution
Moving to Node #0,2,1
Current State: 23:[26, 0], Operations: ['99-33=66', '66-66=0']
Exploring Operation: 26*0=0, Resulting Numbers: [0]
0,23 unequal: No Solution
Exploring Operation: 26-0=26, Resulting Numbers: [26]
26,23 unequal: No Solution
Exploring Operation: 26+0=26, Resulting Numbers: [26]
26,23 unequal: No Solution
Moving to Node #0,1,1
Current State: 23:[3, 40], Operations: ['99/33=3', '66-26=40']
Exploring Operation: 40-3=37, Resulting Numbers: [37]
37,23 unequal: No Solution
Exploring Operation: 3*40=120, Resulting Numbers: [120]
120,23 unequal: No Solution
Exploring Operation: 3+40=43, Resulting Numbers: [43]
43,23 unequal: No Solution
Moving to Node #0,1,2
Current State: 23:[66, 23], Operations: ['99/33=3', '26-3=23']
Exploring Operation: 66*23=1518, Resulting Numbers: [1518]
1518,23 unequal: No Solution
Exploring Operation: 66-23=43, Resulting Numbers: [43]
43,23 unequal: No Solution
Exploring Operation: 66+23=89, Resulting Numbers: [89]
89,23 unequal: No Solution
Moving to Node #0,2,0
Current State: 23:[66, 40], Operations: ['99-33=66', '66-26=40']
Exploring Operation: 66+40=106, Resulting Numbers: [106]
106,23 unequal: No Solution
Exploring Operation: 66*40=2640, Resulting Numbers: [2640]
2640,23 unequal: No Solution
Exploring Operation: 66-40=26, Resulting Numbers: [26]
26,23 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
87,
15,
91,
59
] | 11 | [
"91-87=4",
"59-15=44",
"44/4=11"
] | Current State: 11:[87, 15, 91, 59], Operations: []
Exploring Operation: 91-87=4, Resulting Numbers: [15, 59, 4]
Generated Node #2: [15, 59, 4] from Operation: 91-87=4
Current State: 11:[15, 59, 4], Operations: ['91-87=4']
Exploring Operation: 59-15=44, Resulting Numbers: [4, 44]
Generated Node #3: [4, 44] from Operation: 59-15=44
Current State: 11:[4, 44], Operations: ['91-87=4', '59-15=44']
Exploring Operation: 44/4=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[87, 15, 91, 59], Operations: []
Exploring Operation: 91-87=4, Resulting Numbers: [15, 59, 4]
Generated Node #0,0: 11:[15, 59, 4] Operation: 91-87=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 11:[15, 59, 4], Operations: ['91-87=4']
Exploring Operation: 59-15=44, Resulting Numbers: [4, 44]
Generated Node #0,0,0: 11:[4, 44] Operation: 59-15=44
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 11:[4, 44], Operations: ['91-87=4', '59-15=44']
Exploring Operation: 44/4=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Moving to Node #0
Current State: 11:[87, 15, 91, 59], Operations: []
Exploring Operation: 91-87=4, Resulting Numbers: [15, 59, 4]
Generated Node #0,0: 11:[15, 59, 4] Operation: 91-87=4
Moving to Node #0,0
Current State: 11:[15, 59, 4], Operations: ['91-87=4']
Exploring Operation: 59-15=44, Resulting Numbers: [4, 44]
Generated Node #0,0,0: 11:[4, 44] Operation: 59-15=44
Moving to Node #0,0,0
Current State: 11:[4, 44], Operations: ['91-87=4', '59-15=44']
Exploring Operation: 44/4=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
52,
56,
97,
87
] | 76 | [
"52+56=108",
"97+87=184",
"184-108=76"
] | Current State: 76:[52, 56, 97, 87], Operations: []
Exploring Operation: 52+56=108, Resulting Numbers: [97, 87, 108]
Generated Node #2: [97, 87, 108] from Operation: 52+56=108
Current State: 76:[97, 87, 108], Operations: ['52+56=108']
Exploring Operation: 97+87=184, Resulting Numbers: [108, 184]
Generated Node #3: [108, 184] from Operation: 97+87=184
Current State: 76:[108, 184], Operations: ['52+56=108', '97+87=184']
Exploring Operation: 184-108=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[52, 56, 97, 87], Operations: []
Exploring Operation: 87-52=35, Resulting Numbers: [56, 97, 35]
Generated Node #0,0: 76:[56, 97, 35] Operation: 87-52=35
Exploring Operation: 97-87=10, Resulting Numbers: [52, 56, 10]
Generated Node #0,1: 76:[52, 56, 10] Operation: 97-87=10
Exploring Operation: 97-52=45, Resulting Numbers: [56, 87, 45]
Generated Node #0,2: 76:[56, 87, 45] Operation: 97-52=45
Exploring Operation: 56-52=4, Resulting Numbers: [97, 87, 4]
Generated Node #0,3: 76:[97, 87, 4] Operation: 56-52=4
Exploring Operation: 97-56=41, Resulting Numbers: [52, 87, 41]
Generated Node #0,4: 76:[52, 87, 41] Operation: 97-56=41
Start Sub Search at level 1: Moving to Node #0,4
Current State: 76:[52, 87, 41], Operations: ['97-56=41']
Exploring Operation: 87-52=35, Resulting Numbers: [41, 35]
Generated Node #0,4,0: 76:[41, 35] Operation: 87-52=35
Exploring Operation: 52+87=139, Resulting Numbers: [41, 139]
Generated Node #0,4,1: 76:[41, 139] Operation: 52+87=139
Exploring Operation: 52-41=11, Resulting Numbers: [87, 11]
Generated Node #0,4,2: 76:[87, 11] Operation: 52-41=11
Exploring Operation: 52+41=93, Resulting Numbers: [87, 93]
Generated Node #0,4,3: 76:[87, 93] Operation: 52+41=93
Exploring Operation: 87-41=46, Resulting Numbers: [52, 46]
Generated Node #0,4,4: 76:[52, 46] Operation: 87-41=46
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 76:[41, 35], Operations: ['97-56=41', '87-52=35']
Exploring Operation: 41-35=6, Resulting Numbers: [6]
6,76 unequal: No Solution
Exploring Operation: 41+35=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Moving to Node #0
Current State: 76:[52, 56, 97, 87], Operations: []
Exploring Operation: 97-56=41, Resulting Numbers: [52, 87, 41]
Generated Node #0,4: 76:[52, 87, 41] Operation: 97-56=41
Moving to Node #0,4
Current State: 76:[52, 87, 41], Operations: ['97-56=41']
Exploring Operation: 87-52=35, Resulting Numbers: [41, 35]
Generated Node #0,4,0: 76:[41, 35] Operation: 87-52=35
Moving to Node #0,4,0
Current State: 76:[41, 35], Operations: ['97-56=41', '87-52=35']
Exploring Operation: 41+35=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_5 | mult_heuristic |
[
34,
33,
17,
23
] | 12 | [
"34/17=2",
"33-23=10",
"2+10=12"
] | Current State: 12:[34, 33, 17, 23], Operations: []
Exploring Operation: 34/17=2, Resulting Numbers: [33, 23, 2]
Generated Node #2: [33, 23, 2] from Operation: 34/17=2
Current State: 12:[33, 23, 2], Operations: ['34/17=2']
Exploring Operation: 33-23=10, Resulting Numbers: [2, 10]
Generated Node #3: [2, 10] from Operation: 33-23=10
Current State: 12:[2, 10], Operations: ['34/17=2', '33-23=10']
Exploring Operation: 2+10=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[34, 33, 17, 23], Operations: []
Exploring Operation: 34/17=2, Resulting Numbers: [33, 23, 2]
Generated Node #0,0: 12:[33, 23, 2] Operation: 34/17=2
Exploring Operation: 34-23=11, Resulting Numbers: [33, 17, 11]
Generated Node #0,1: 12:[33, 17, 11] Operation: 34-23=11
Exploring Operation: 34-33=1, Resulting Numbers: [17, 23, 1]
Generated Node #0,2: 12:[17, 23, 1] Operation: 34-33=1
Exploring Operation: 33-23=10, Resulting Numbers: [34, 17, 10]
Generated Node #0,3: 12:[34, 17, 10] Operation: 33-23=10
Moving to Node #0,2
Current State: 12:[17, 23, 1], Operations: ['34-33=1']
Exploring Operation: 23-17=6, Resulting Numbers: [1, 6]
Generated Node #0,2,0: 12:[1, 6] Operation: 23-17=6
Exploring Operation: 23-1=22, Resulting Numbers: [17, 22]
Generated Node #0,2,1: 12:[17, 22] Operation: 23-1=22
Exploring Operation: 17*1=17, Resulting Numbers: [23, 17]
Generated Node #0,2,2: 12:[23, 17] Operation: 17*1=17
Exploring Operation: 17-1=16, Resulting Numbers: [23, 16]
Generated Node #0,2,3: 12:[23, 16] Operation: 17-1=16
Moving to Node #0,1
Current State: 12:[33, 17, 11], Operations: ['34-23=11']
Exploring Operation: 33/11=3, Resulting Numbers: [17, 3]
Generated Node #0,1,0: 12:[17, 3] Operation: 33/11=3
Exploring Operation: 33-11=22, Resulting Numbers: [17, 22]
Generated Node #0,1,1: 12:[17, 22] Operation: 33-11=22
Exploring Operation: 17-11=6, Resulting Numbers: [33, 6]
Generated Node #0,1,2: 12:[33, 6] Operation: 17-11=6
Exploring Operation: 33-17=16, Resulting Numbers: [11, 16]
Generated Node #0,1,3: 12:[11, 16] Operation: 33-17=16
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 12:[17, 3], Operations: ['34-23=11', '33/11=3']
Exploring Operation: 17+3=20, Resulting Numbers: [20]
20,12 unequal: No Solution
Exploring Operation: 17-3=14, Resulting Numbers: [14]
14,12 unequal: No Solution
Exploring Operation: 17*3=51, Resulting Numbers: [51]
51,12 unequal: No Solution
No 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: 12:[11, 16], Operations: ['34-23=11', '33-17=16']
Exploring Operation: 11*16=176, Resulting Numbers: [176]
176,12 unequal: No Solution
Exploring Operation: 16-11=5, Resulting Numbers: [5]
5,12 unequal: No Solution
Exploring Operation: 11+16=27, Resulting Numbers: [27]
27,12 unequal: No Solution
No 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: 12:[17, 22], Operations: ['34-23=11', '33-11=22']
Exploring Operation: 17*22=374, Resulting Numbers: [374]
374,12 unequal: No Solution
Exploring Operation: 22-17=5, Resulting Numbers: [5]
5,12 unequal: No Solution
Exploring Operation: 17+22=39, Resulting Numbers: [39]
39,12 unequal: No Solution
No 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: 12:[33, 6], Operations: ['34-23=11', '17-11=6']
Exploring Operation: 33-6=27, Resulting Numbers: [27]
27,12 unequal: No Solution
Exploring Operation: 33+6=39, Resulting Numbers: [39]
39,12 unequal: No Solution
Exploring Operation: 33*6=198, Resulting Numbers: [198]
198,12 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: 12:[34, 17, 10], Operations: ['33-23=10']
Exploring Operation: 34-10=24, Resulting Numbers: [17, 24]
Generated Node #0,3,0: 12:[17, 24] Operation: 34-10=24
Exploring Operation: 34/17=2, Resulting Numbers: [10, 2]
Generated Node #0,3,1: 12:[10, 2] Operation: 34/17=2
Exploring Operation: 34-17=17, Resulting Numbers: [10, 17]
Generated Node #0,3,2: 12:[10, 17] Operation: 34-17=17
Exploring Operation: 17-10=7, Resulting Numbers: [34, 7]
Generated Node #0,3,3: 12:[34, 7] Operation: 17-10=7
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 12:[10, 2], Operations: ['33-23=10', '34/17=2']
Exploring Operation: 10+2=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Moving to Node #0
Current State: 12:[34, 33, 17, 23], Operations: []
Exploring Operation: 33-23=10, Resulting Numbers: [34, 17, 10]
Generated Node #0,3: 12:[34, 17, 10] Operation: 33-23=10
Moving to Node #0,3
Current State: 12:[34, 17, 10], Operations: ['33-23=10']
Exploring Operation: 34/17=2, Resulting Numbers: [10, 2]
Generated Node #0,3,1: 12:[10, 2] Operation: 34/17=2
Moving to Node #0,3,1
Current State: 12:[10, 2], Operations: ['33-23=10', '34/17=2']
Exploring Operation: 10+2=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Exit Sub Search at level 1
| 0.971354 | hs_4 | sum_heuristic |
[
85,
31,
51,
39
] | 34 | [
"85*39=3315",
"3315/51=65",
"65-31=34"
] | Current State: 34:[85, 31, 51, 39], Operations: []
Exploring Operation: 85*39=3315, Resulting Numbers: [31, 51, 3315]
Generated Node #2: [31, 51, 3315] from Operation: 85*39=3315
Current State: 34:[31, 51, 3315], Operations: ['85*39=3315']
Exploring Operation: 3315/51=65, Resulting Numbers: [31, 65]
Generated Node #3: [31, 65] from Operation: 3315/51=65
Current State: 34:[31, 65], Operations: ['85*39=3315', '3315/51=65']
Exploring Operation: 65-31=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[85, 31, 51, 39], Operations: []
Exploring Operation: 85-51=34, Resulting Numbers: [31, 39, 34]
Generated Node #0,0: 34:[31, 39, 34] Operation: 85-51=34
Moving to Node #0,0
Current State: 34:[31, 39, 34], Operations: ['85-51=34']
Exploring Operation: 39-31=8, Resulting Numbers: [34, 8]
Generated Node #0,0,0: 34:[34, 8] Operation: 39-31=8
Moving to Node #0,0,0
Current State: 34:[34, 8], Operations: ['85-51=34', '39-31=8']
Exploring Operation: 34+8=42, Resulting Numbers: [42]
42,34 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
69,
86,
1,
41
] | 58 | [
"86-69=17",
"1*41=41",
"17+41=58"
] | Current State: 58:[69, 86, 1, 41], Operations: []
Exploring Operation: 86-69=17, Resulting Numbers: [1, 41, 17]
Generated Node #2: [1, 41, 17] from Operation: 86-69=17
Current State: 58:[1, 41, 17], Operations: ['86-69=17']
Exploring Operation: 1*41=41, Resulting Numbers: [17, 41]
Generated Node #3: [17, 41] from Operation: 1*41=41
Current State: 58:[17, 41], Operations: ['86-69=17', '1*41=41']
Exploring Operation: 17+41=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[69, 86, 1, 41], Operations: []
Exploring Operation: 86-41=45, Resulting Numbers: [69, 1, 45]
Generated Node #0,0: 58:[69, 1, 45] Operation: 86-41=45
Exploring Operation: 69-41=28, Resulting Numbers: [86, 1, 28]
Generated Node #0,1: 58:[86, 1, 28] Operation: 69-41=28
Exploring Operation: 69-1=68, Resulting Numbers: [86, 41, 68]
Generated Node #0,2: 58:[86, 41, 68] Operation: 69-1=68
Exploring Operation: 86-69=17, Resulting Numbers: [1, 41, 17]
Generated Node #0,3: 58:[1, 41, 17] Operation: 86-69=17
Start Sub Search at level 1: Moving to Node #0,0
Current State: 58:[69, 1, 45], Operations: ['86-41=45']
Exploring Operation: 1+45=46, Resulting Numbers: [69, 46]
Generated Node #0,0,0: 58:[69, 46] Operation: 1+45=46
Exploring Operation: 69-1=68, Resulting Numbers: [45, 68]
Generated Node #0,0,1: 58:[45, 68] Operation: 69-1=68
Exploring Operation: 69*1=69, Resulting Numbers: [45, 69]
Generated Node #0,0,2: 58:[45, 69] Operation: 69*1=69
Exploring Operation: 69-45=24, Resulting Numbers: [1, 24]
Generated Node #0,0,3: 58:[1, 24] Operation: 69-45=24
Moving to Node #0,0,3
Current State: 58:[1, 24], Operations: ['86-41=45', '69-45=24']
Exploring Operation: 1*24=24, Resulting Numbers: [24]
24,58 unequal: No Solution
Exploring Operation: 24-1=23, Resulting Numbers: [23]
23,58 unequal: No Solution
Exploring Operation: 24/1=24, Resulting Numbers: [24]
24,58 unequal: No Solution
Exploring Operation: 1+24=25, Resulting Numbers: [25]
25,58 unequal: No Solution
Moving to Node #0,0,1
Current State: 58:[45, 68], Operations: ['86-41=45', '69-1=68']
Exploring Operation: 45*68=3060, Resulting Numbers: [3060]
3060,58 unequal: No Solution
Exploring Operation: 68-45=23, Resulting Numbers: [23]
23,58 unequal: No Solution
Exploring Operation: 45+68=113, Resulting Numbers: [113]
113,58 unequal: No Solution
Moving to Node #0,0,0
Current State: 58:[69, 46], Operations: ['86-41=45', '1+45=46']
Exploring Operation: 69+46=115, Resulting Numbers: [115]
115,58 unequal: No Solution
Exploring Operation: 69-46=23, Resulting Numbers: [23]
23,58 unequal: No Solution
Exploring Operation: 69*46=3174, Resulting Numbers: [3174]
3174,58 unequal: No Solution
Moving to Node #0,0,2
Current State: 58:[45, 69], Operations: ['86-41=45', '69*1=69']
Exploring Operation: 45*69=3105, Resulting Numbers: [3105]
3105,58 unequal: No Solution
Exploring Operation: 69-45=24, Resulting Numbers: [24]
24,58 unequal: No Solution
Exploring Operation: 45+69=114, Resulting Numbers: [114]
114,58 unequal: No Solution
No 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: 58:[1, 41, 17], Operations: ['86-69=17']
Exploring Operation: 41+17=58, Resulting Numbers: [1, 58]
Generated Node #0,3,0: 58:[1, 58] Operation: 41+17=58
Exploring Operation: 41-17=24, Resulting Numbers: [1, 24]
Generated Node #0,3,1: 58:[1, 24] Operation: 41-17=24
Exploring Operation: 1+17=18, Resulting Numbers: [41, 18]
Generated Node #0,3,2: 58:[41, 18] Operation: 1+17=18
Exploring Operation: 41-1=40, Resulting Numbers: [17, 40]
Generated Node #0,3,3: 58:[17, 40] Operation: 41-1=40
Moving to Node #0,3,0
Current State: 58:[1, 58], Operations: ['86-69=17', '41+17=58']
Exploring Operation: 1+58=59, Resulting Numbers: [59]
59,58 unequal: No Solution
Exploring Operation: 58-1=57, Resulting Numbers: [57]
57,58 unequal: No Solution
Exploring Operation: 58/1=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Moving to Node #0
Current State: 58:[69, 86, 1, 41], Operations: []
Exploring Operation: 86-69=17, Resulting Numbers: [1, 41, 17]
Generated Node #0,3: 58:[1, 41, 17] Operation: 86-69=17
Moving to Node #0,3
Current State: 58:[1, 41, 17], Operations: ['86-69=17']
Exploring Operation: 41+17=58, Resulting Numbers: [1, 58]
Generated Node #0,3,0: 58:[1, 58] Operation: 41+17=58
Moving to Node #0,3,0
Current State: 58:[1, 58], Operations: ['86-69=17', '41+17=58']
Exploring Operation: 58/1=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Exit Sub Search at level 1
| 0.972222 | hs_4 | sum_heuristic |
[
11,
79,
84,
48
] | 64 | [
"79-11=68",
"84+48=132",
"132-68=64"
] | Current State: 64:[11, 79, 84, 48], Operations: []
Exploring Operation: 79-11=68, Resulting Numbers: [84, 48, 68]
Generated Node #2: [84, 48, 68] from Operation: 79-11=68
Current State: 64:[84, 48, 68], Operations: ['79-11=68']
Exploring Operation: 84+48=132, Resulting Numbers: [68, 132]
Generated Node #3: [68, 132] from Operation: 84+48=132
Current State: 64:[68, 132], Operations: ['79-11=68', '84+48=132']
Exploring Operation: 132-68=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[11, 79, 84, 48], Operations: []
Exploring Operation: 84-79=5, Resulting Numbers: [11, 48, 5]
Generated Node #0,0: 64:[11, 48, 5] Operation: 84-79=5
Moving to Node #0,0
Current State: 64:[11, 48, 5], Operations: ['84-79=5']
Exploring Operation: 11+48=59, Resulting Numbers: [5, 59]
Generated Node #0,0,0: 64:[5, 59] Operation: 11+48=59
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 64:[5, 59], Operations: ['84-79=5', '11+48=59']
Exploring Operation: 5+59=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Moving to Node #0
Current State: 64:[11, 79, 84, 48], Operations: []
Exploring Operation: 84-79=5, Resulting Numbers: [11, 48, 5]
Generated Node #0,0: 64:[11, 48, 5] Operation: 84-79=5
Moving to Node #0,0
Current State: 64:[11, 48, 5], Operations: ['84-79=5']
Exploring Operation: 11+48=59, Resulting Numbers: [5, 59]
Generated Node #0,0,0: 64:[5, 59] Operation: 11+48=59
Moving to Node #0,0,0
Current State: 64:[5, 59], Operations: ['84-79=5', '11+48=59']
Exploring Operation: 5+59=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
36,
60,
72,
56
] | 81 | [
"60-56=4",
"36/4=9",
"72+9=81"
] | Current State: 81:[36, 60, 72, 56], Operations: []
Exploring Operation: 60-56=4, Resulting Numbers: [36, 72, 4]
Generated Node #2: [36, 72, 4] from Operation: 60-56=4
Current State: 81:[36, 72, 4], Operations: ['60-56=4']
Exploring Operation: 36/4=9, Resulting Numbers: [72, 9]
Generated Node #3: [72, 9] from Operation: 36/4=9
Current State: 81:[72, 9], Operations: ['60-56=4', '36/4=9']
Exploring Operation: 72+9=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[36, 60, 72, 56], Operations: []
Exploring Operation: 60-56=4, Resulting Numbers: [36, 72, 4]
Generated Node #0,0: 81:[36, 72, 4] Operation: 60-56=4
Exploring Operation: 60-36=24, Resulting Numbers: [72, 56, 24]
Generated Node #0,1: 81:[72, 56, 24] Operation: 60-36=24
Moving to Node #0,0
Current State: 81:[36, 72, 4], Operations: ['60-56=4']
Exploring Operation: 36/4=9, Resulting Numbers: [72, 9]
Generated Node #0,0,0: 81:[72, 9] Operation: 36/4=9
Exploring Operation: 72/36=2, Resulting Numbers: [4, 2]
Generated Node #0,0,1: 81:[4, 2] Operation: 72/36=2
Moving to Node #0,1
Current State: 81:[72, 56, 24], Operations: ['60-36=24']
Exploring Operation: 72-56=16, Resulting Numbers: [24, 16]
Generated Node #0,1,0: 81:[24, 16] Operation: 72-56=16
Exploring Operation: 56+24=80, Resulting Numbers: [72, 80]
Generated Node #0,1,1: 81:[72, 80] Operation: 56+24=80
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 81:[24, 16], Operations: ['60-36=24', '72-56=16']
Exploring Operation: 24+16=40, Resulting Numbers: [40]
40,81 unequal: No Solution
Exploring Operation: 24-16=8, Resulting Numbers: [8]
8,81 unequal: No Solution
No 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: 81:[72, 80], Operations: ['60-36=24', '56+24=80']
Exploring Operation: 72+80=152, Resulting Numbers: [152]
152,81 unequal: No Solution
Exploring Operation: 80-72=8, Resulting Numbers: [8]
8,81 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: 81:[4, 2], Operations: ['60-56=4', '72/36=2']
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,81 unequal: No Solution
Exploring Operation: 4*2=8, Resulting Numbers: [8]
8,81 unequal: No Solution
Moving to Node #0,0,0
Current State: 81:[72, 9], Operations: ['60-56=4', '36/4=9']
Exploring Operation: 72+9=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Moving to Node #0
Current State: 81:[36, 60, 72, 56], Operations: []
Exploring Operation: 60-56=4, Resulting Numbers: [36, 72, 4]
Generated Node #0,0: 81:[36, 72, 4] Operation: 60-56=4
Moving to Node #0,0
Current State: 81:[36, 72, 4], Operations: ['60-56=4']
Exploring Operation: 36/4=9, Resulting Numbers: [72, 9]
Generated Node #0,0,0: 81:[72, 9] Operation: 36/4=9
Moving to Node #0,0,0
Current State: 81:[72, 9], Operations: ['60-56=4', '36/4=9']
Exploring Operation: 72+9=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 0.985243 | hs_2 | mult_heuristic |
[
69,
46,
80,
22
] | 57 | [
"69+46=115",
"80-22=58",
"115-58=57"
] | Current State: 57:[69, 46, 80, 22], Operations: []
Exploring Operation: 69+46=115, Resulting Numbers: [80, 22, 115]
Generated Node #2: [80, 22, 115] from Operation: 69+46=115
Current State: 57:[80, 22, 115], Operations: ['69+46=115']
Exploring Operation: 80-22=58, Resulting Numbers: [115, 58]
Generated Node #3: [115, 58] from Operation: 80-22=58
Current State: 57:[115, 58], Operations: ['69+46=115', '80-22=58']
Exploring Operation: 115-58=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[69, 46, 80, 22], Operations: []
Exploring Operation: 80-69=11, Resulting Numbers: [46, 22, 11]
Generated Node #0,0: 57:[46, 22, 11] Operation: 80-69=11
Moving to Node #0,0
Current State: 57:[46, 22, 11], Operations: ['80-69=11']
Exploring Operation: 46+11=57, Resulting Numbers: [22, 57]
Generated Node #0,0,0: 57:[22, 57] Operation: 46+11=57
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 57:[22, 57], Operations: ['80-69=11', '46+11=57']
Exploring Operation: 57-22=35, Resulting Numbers: [35]
35,57 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 |
[
86,
83,
96,
29
] | 64 | [
"86-83=3",
"96-29=67",
"67-3=64"
] | Current State: 64:[86, 83, 96, 29], Operations: []
Exploring Operation: 86-83=3, Resulting Numbers: [96, 29, 3]
Generated Node #2: [96, 29, 3] from Operation: 86-83=3
Current State: 64:[96, 29, 3], Operations: ['86-83=3']
Exploring Operation: 96-29=67, Resulting Numbers: [3, 67]
Generated Node #3: [3, 67] from Operation: 96-29=67
Current State: 64:[3, 67], Operations: ['86-83=3', '96-29=67']
Exploring Operation: 67-3=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[86, 83, 96, 29], Operations: []
Exploring Operation: 96-83=13, Resulting Numbers: [86, 29, 13]
Generated Node #0,0: 64:[86, 29, 13] Operation: 96-83=13
Exploring Operation: 96-29=67, Resulting Numbers: [86, 83, 67]
Generated Node #0,1: 64:[86, 83, 67] Operation: 96-29=67
Exploring Operation: 86-83=3, Resulting Numbers: [96, 29, 3]
Generated Node #0,2: 64:[96, 29, 3] Operation: 86-83=3
Exploring Operation: 96-86=10, Resulting Numbers: [83, 29, 10]
Generated Node #0,3: 64:[83, 29, 10] Operation: 96-86=10
Start Sub Search at level 1: Moving to Node #0,3
Current State: 64:[83, 29, 10], Operations: ['96-86=10']
Exploring Operation: 83-10=73, Resulting Numbers: [29, 73]
Generated Node #0,3,0: 64:[29, 73] Operation: 83-10=73
Exploring Operation: 83-29=54, Resulting Numbers: [10, 54]
Generated Node #0,3,1: 64:[10, 54] Operation: 83-29=54
Exploring Operation: 29-10=19, Resulting Numbers: [83, 19]
Generated Node #0,3,2: 64:[83, 19] Operation: 29-10=19
Exploring Operation: 29+10=39, Resulting Numbers: [83, 39]
Generated Node #0,3,3: 64:[83, 39] Operation: 29+10=39
Moving to Node #0,3,0
Current State: 64:[29, 73], Operations: ['96-86=10', '83-10=73']
Exploring Operation: 29*73=2117, Resulting Numbers: [2117]
2117,64 unequal: No Solution
Exploring Operation: 73-29=44, Resulting Numbers: [44]
44,64 unequal: No Solution
Exploring Operation: 29+73=102, Resulting Numbers: [102]
102,64 unequal: No Solution
Moving to Node #0,3,1
Current State: 64:[10, 54], Operations: ['96-86=10', '83-29=54']
Exploring Operation: 54-10=44, Resulting Numbers: [44]
44,64 unequal: No Solution
Exploring Operation: 10+54=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Moving to Node #0
Current State: 64:[86, 83, 96, 29], Operations: []
Exploring Operation: 96-86=10, Resulting Numbers: [83, 29, 10]
Generated Node #0,3: 64:[83, 29, 10] Operation: 96-86=10
Moving to Node #0,3
Current State: 64:[83, 29, 10], Operations: ['96-86=10']
Exploring Operation: 83-29=54, Resulting Numbers: [10, 54]
Generated Node #0,3,1: 64:[10, 54] Operation: 83-29=54
Moving to Node #0,3,1
Current State: 64:[10, 54], Operations: ['96-86=10', '83-29=54']
Exploring Operation: 10+54=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_4 | sum_heuristic |
[
67,
80,
66,
75
] | 76 | [
"75-67=8",
"80/8=10",
"66+10=76"
] | Current State: 76:[67, 80, 66, 75], Operations: []
Exploring Operation: 75-67=8, Resulting Numbers: [80, 66, 8]
Generated Node #2: [80, 66, 8] from Operation: 75-67=8
Current State: 76:[80, 66, 8], Operations: ['75-67=8']
Exploring Operation: 80/8=10, Resulting Numbers: [66, 10]
Generated Node #3: [66, 10] from Operation: 80/8=10
Current State: 76:[66, 10], Operations: ['75-67=8', '80/8=10']
Exploring Operation: 66+10=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[67, 80, 66, 75], Operations: []
Exploring Operation: 67-66=1, Resulting Numbers: [80, 75, 1]
Generated Node #0,0: 76:[80, 75, 1] Operation: 67-66=1
Exploring Operation: 80-67=13, Resulting Numbers: [66, 75, 13]
Generated Node #0,1: 76:[66, 75, 13] Operation: 80-67=13
Exploring Operation: 75-67=8, Resulting Numbers: [80, 66, 8]
Generated Node #0,2: 76:[80, 66, 8] Operation: 75-67=8
Exploring Operation: 75-66=9, Resulting Numbers: [67, 80, 9]
Generated Node #0,3: 76:[67, 80, 9] Operation: 75-66=9
Exploring Operation: 80-66=14, Resulting Numbers: [67, 75, 14]
Generated Node #0,4: 76:[67, 75, 14] Operation: 80-66=14
Start Sub Search at level 1: Moving to Node #0,0
Current State: 76:[80, 75, 1], Operations: ['67-66=1']
Exploring Operation: 80-75=5, Resulting Numbers: [1, 5]
Generated Node #0,0,0: 76:[1, 5] Operation: 80-75=5
Exploring Operation: 80/1=80, Resulting Numbers: [75, 80]
Generated Node #0,0,1: 76:[75, 80] Operation: 80/1=80
Exploring Operation: 80-1=79, Resulting Numbers: [75, 79]
Generated Node #0,0,2: 76:[75, 79] Operation: 80-1=79
Exploring Operation: 80*1=80, Resulting Numbers: [75, 80]
Generated Node #0,0,3: 76:[75, 80] Operation: 80*1=80
Exploring Operation: 75+1=76, Resulting Numbers: [80, 76]
Generated Node #0,0,4: 76:[80, 76] Operation: 75+1=76
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 76:[1, 5], Operations: ['67-66=1', '80-75=5']
Exploring Operation: 5/1=5, Resulting Numbers: [5]
5,76 unequal: No Solution
Exploring Operation: 5-1=4, Resulting Numbers: [4]
4,76 unequal: No Solution
Exploring Operation: 1*5=5, Resulting Numbers: [5]
5,76 unequal: No Solution
Exploring Operation: 1+5=6, Resulting Numbers: [6]
6,76 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: 76:[75, 79], Operations: ['67-66=1', '80-1=79']
Exploring Operation: 75*79=5925, Resulting Numbers: [5925]
5925,76 unequal: No Solution
Exploring Operation: 79-75=4, Resulting Numbers: [4]
4,76 unequal: No Solution
Exploring Operation: 75+79=154, Resulting Numbers: [154]
154,76 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: 76:[80, 76], Operations: ['67-66=1', '75+1=76']
Exploring Operation: 80-76=4, Resulting Numbers: [4]
4,76 unequal: No Solution
Exploring Operation: 80+76=156, Resulting Numbers: [156]
156,76 unequal: No Solution
Exploring Operation: 80*76=6080, Resulting Numbers: [6080]
6080,76 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: 76:[75, 80], Operations: ['67-66=1', '80/1=80']
Exploring Operation: 80-75=5, Resulting Numbers: [5]
5,76 unequal: No Solution
Exploring Operation: 75*80=6000, Resulting Numbers: [6000]
6000,76 unequal: No Solution
Exploring Operation: 75+80=155, Resulting Numbers: [155]
155,76 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: 76:[75, 80], Operations: ['67-66=1', '80*1=80']
Exploring Operation: 75+80=155, Resulting Numbers: [155]
155,76 unequal: No Solution
Exploring Operation: 80-75=5, Resulting Numbers: [5]
5,76 unequal: No Solution
Exploring Operation: 75*80=6000, Resulting Numbers: [6000]
6000,76 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: 76:[67, 75, 14], Operations: ['80-66=14']
Exploring Operation: 75-67=8, Resulting Numbers: [14, 8]
Generated Node #0,4,0: 76:[14, 8] Operation: 75-67=8
Exploring Operation: 67-14=53, Resulting Numbers: [75, 53]
Generated Node #0,4,1: 76:[75, 53] Operation: 67-14=53
Exploring Operation: 67+14=81, Resulting Numbers: [75, 81]
Generated Node #0,4,2: 76:[75, 81] Operation: 67+14=81
Exploring Operation: 75+14=89, Resulting Numbers: [67, 89]
Generated Node #0,4,3: 76:[67, 89] Operation: 75+14=89
Exploring Operation: 75-14=61, Resulting Numbers: [67, 61]
Generated Node #0,4,4: 76:[67, 61] Operation: 75-14=61
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 76:[75, 81], Operations: ['80-66=14', '67+14=81']
Exploring Operation: 75*81=6075, Resulting Numbers: [6075]
6075,76 unequal: No Solution
Exploring Operation: 75+81=156, Resulting Numbers: [156]
156,76 unequal: No Solution
Exploring Operation: 81-75=6, Resulting Numbers: [6]
6,76 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: 76:[14, 8], Operations: ['80-66=14', '75-67=8']
Exploring Operation: 14+8=22, Resulting Numbers: [22]
22,76 unequal: No Solution
Exploring Operation: 14*8=112, Resulting Numbers: [112]
112,76 unequal: No Solution
Exploring Operation: 14-8=6, Resulting Numbers: [6]
6,76 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: 76:[75, 53], Operations: ['80-66=14', '67-14=53']
Exploring Operation: 75+53=128, Resulting Numbers: [128]
128,76 unequal: No Solution
Exploring Operation: 75-53=22, Resulting Numbers: [22]
22,76 unequal: No Solution
Exploring Operation: 75*53=3975, Resulting Numbers: [3975]
3975,76 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: 76:[67, 89], Operations: ['80-66=14', '75+14=89']
Exploring Operation: 67*89=5963, Resulting Numbers: [5963]
5963,76 unequal: No Solution
Exploring Operation: 89-67=22, Resulting Numbers: [22]
22,76 unequal: No Solution
Exploring Operation: 67+89=156, Resulting Numbers: [156]
156,76 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: 76:[67, 61], Operations: ['80-66=14', '75-14=61']
Exploring Operation: 67*61=4087, Resulting Numbers: [4087]
4087,76 unequal: No Solution
Exploring Operation: 67+61=128, Resulting Numbers: [128]
128,76 unequal: No Solution
Exploring Operation: 67-61=6, Resulting Numbers: [6]
6,76 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: 76:[66, 75, 13], Operations: ['80-67=13']
Exploring Operation: 75-13=62, Resulting Numbers: [66, 62]
Generated Node #0,1,0: 76:[66, 62] Operation: 75-13=62
Exploring Operation: 66+13=79, Resulting Numbers: [75, 79]
Generated Node #0,1,1: 76:[75, 79] Operation: 66+13=79
Exploring Operation: 75+13=88, Resulting Numbers: [66, 88]
Generated Node #0,1,2: 76:[66, 88] Operation: 75+13=88
Exploring Operation: 66-13=53, Resulting Numbers: [75, 53]
Generated Node #0,1,3: 76:[75, 53] Operation: 66-13=53
Exploring Operation: 75-66=9, Resulting Numbers: [13, 9]
Generated Node #0,1,4: 76:[13, 9] Operation: 75-66=9
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 76:[75, 79], Operations: ['80-67=13', '66+13=79']
Exploring Operation: 75*79=5925, Resulting Numbers: [5925]
5925,76 unequal: No Solution
Exploring Operation: 75+79=154, Resulting Numbers: [154]
154,76 unequal: No Solution
Exploring Operation: 79-75=4, Resulting Numbers: [4]
4,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 76:[13, 9], Operations: ['80-67=13', '75-66=9']
Exploring Operation: 13*9=117, Resulting Numbers: [117]
117,76 unequal: No Solution
Exploring Operation: 13-9=4, Resulting Numbers: [4]
4,76 unequal: No Solution
Exploring Operation: 13+9=22, Resulting Numbers: [22]
22,76 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: 76:[75, 53], Operations: ['80-67=13', '66-13=53']
Exploring Operation: 75+53=128, Resulting Numbers: [128]
128,76 unequal: No Solution
Exploring Operation: 75*53=3975, Resulting Numbers: [3975]
3975,76 unequal: No Solution
Exploring Operation: 75-53=22, Resulting Numbers: [22]
22,76 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: 76:[66, 88], Operations: ['80-67=13', '75+13=88']
Exploring Operation: 66+88=154, Resulting Numbers: [154]
154,76 unequal: No Solution
Exploring Operation: 66*88=5808, Resulting Numbers: [5808]
5808,76 unequal: No Solution
Exploring Operation: 88-66=22, Resulting Numbers: [22]
22,76 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: 76:[66, 62], Operations: ['80-67=13', '75-13=62']
Exploring Operation: 66-62=4, Resulting Numbers: [4]
4,76 unequal: No Solution
Exploring Operation: 66*62=4092, Resulting Numbers: [4092]
4092,76 unequal: No Solution
Exploring Operation: 66+62=128, Resulting Numbers: [128]
128,76 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: 76:[80, 66, 8], Operations: ['75-67=8']
Exploring Operation: 66+8=74, Resulting Numbers: [80, 74]
Generated Node #0,2,0: 76:[80, 74] Operation: 66+8=74
Exploring Operation: 80+8=88, Resulting Numbers: [66, 88]
Generated Node #0,2,1: 76:[66, 88] Operation: 80+8=88
Exploring Operation: 80-66=14, Resulting Numbers: [8, 14]
Generated Node #0,2,2: 76:[8, 14] Operation: 80-66=14
Exploring Operation: 80-8=72, Resulting Numbers: [66, 72]
Generated Node #0,2,3: 76:[66, 72] Operation: 80-8=72
Exploring Operation: 80/8=10, Resulting Numbers: [66, 10]
Generated Node #0,2,4: 76:[66, 10] Operation: 80/8=10
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 76:[80, 74], Operations: ['75-67=8', '66+8=74']
Exploring Operation: 80+74=154, Resulting Numbers: [154]
154,76 unequal: No Solution
Exploring Operation: 80-74=6, Resulting Numbers: [6]
6,76 unequal: No Solution
Exploring Operation: 80*74=5920, Resulting Numbers: [5920]
5920,76 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: 76:[8, 14], Operations: ['75-67=8', '80-66=14']
Exploring Operation: 8*14=112, Resulting Numbers: [112]
112,76 unequal: No Solution
Exploring Operation: 8+14=22, Resulting Numbers: [22]
22,76 unequal: No Solution
Exploring Operation: 14-8=6, Resulting Numbers: [6]
6,76 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: 76:[66, 72], Operations: ['75-67=8', '80-8=72']
Exploring Operation: 66+72=138, Resulting Numbers: [138]
138,76 unequal: No Solution
Exploring Operation: 66*72=4752, Resulting Numbers: [4752]
4752,76 unequal: No Solution
Exploring Operation: 72-66=6, Resulting Numbers: [6]
6,76 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: 76:[66, 10], Operations: ['75-67=8', '80/8=10']
Exploring Operation: 66*10=660, Resulting Numbers: [660]
660,76 unequal: No Solution
Exploring Operation: 66-10=56, Resulting Numbers: [56]
56,76 unequal: No Solution
Exploring Operation: 66+10=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Moving to Node #0
Current State: 76:[67, 80, 66, 75], Operations: []
Exploring Operation: 75-67=8, Resulting Numbers: [80, 66, 8]
Generated Node #0,2: 76:[80, 66, 8] Operation: 75-67=8
Moving to Node #0,2
Current State: 76:[80, 66, 8], Operations: ['75-67=8']
Exploring Operation: 80/8=10, Resulting Numbers: [66, 10]
Generated Node #0,2,4: 76:[66, 10] Operation: 80/8=10
Moving to Node #0,2,4
Current State: 76:[66, 10], Operations: ['75-67=8', '80/8=10']
Exploring Operation: 66+10=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.924479 | hs_5 | mult_heuristic |
[
26,
72,
84,
96
] | 91 | [
"26*84=2184",
"96-72=24",
"2184/24=91"
] | Current State: 91:[26, 72, 84, 96], Operations: []
Exploring Operation: 26*84=2184, Resulting Numbers: [72, 96, 2184]
Generated Node #2: [72, 96, 2184] from Operation: 26*84=2184
Current State: 91:[72, 96, 2184], Operations: ['26*84=2184']
Exploring Operation: 96-72=24, Resulting Numbers: [2184, 24]
Generated Node #3: [2184, 24] from Operation: 96-72=24
Current State: 91:[2184, 24], Operations: ['26*84=2184', '96-72=24']
Exploring Operation: 2184/24=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[26, 72, 84, 96], Operations: []
Exploring Operation: 26+72=98, Resulting Numbers: [84, 96, 98]
Generated Node #0,0: 91:[84, 96, 98] Operation: 26+72=98
Exploring Operation: 84-72=12, Resulting Numbers: [26, 96, 12]
Generated Node #0,1: 91:[26, 96, 12] Operation: 84-72=12
Start Sub Search at level 1: Moving to Node #0,0
Current State: 91:[84, 96, 98], Operations: ['26+72=98']
Exploring Operation: 96-84=12, Resulting Numbers: [98, 12]
Generated Node #0,0,0: 91:[98, 12] Operation: 96-84=12
Exploring Operation: 98-84=14, Resulting Numbers: [96, 14]
Generated Node #0,0,1: 91:[96, 14] Operation: 98-84=14
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 91:[96, 14], Operations: ['26+72=98', '98-84=14']
Exploring Operation: 96+14=110, Resulting Numbers: [110]
110,91 unequal: No Solution
Exploring Operation: 96-14=82, Resulting Numbers: [82]
82,91 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 #0,0,0
Current State: 91:[98, 12], Operations: ['26+72=98', '96-84=12']
Exploring Operation: 98+12=110, Resulting Numbers: [110]
110,91 unequal: No Solution
Exploring Operation: 98-12=86, Resulting Numbers: [86]
86,91 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
Start Sub Search at level 1: Moving to Node #0,1
Current State: 91:[26, 96, 12], Operations: ['84-72=12']
Exploring Operation: 96/12=8, Resulting Numbers: [26, 8]
Generated Node #0,1,0: 91:[26, 8] Operation: 96/12=8
Exploring Operation: 26-12=14, Resulting Numbers: [96, 14]
Generated Node #0,1,1: 91:[96, 14] Operation: 26-12=14
Moving to Node #0,1,1
Current State: 91:[96, 14], Operations: ['84-72=12', '26-12=14']
Exploring Operation: 96-14=82, Resulting Numbers: [82]
82,91 unequal: No Solution
Exploring Operation: 96+14=110, Resulting Numbers: [110]
110,91 unequal: No Solution
Moving to Node #0,1,0
Current State: 91:[26, 8], Operations: ['84-72=12', '96/12=8']
Exploring Operation: 26+8=34, Resulting Numbers: [34]
34,91 unequal: No Solution
Exploring Operation: 26-8=18, Resulting Numbers: [18]
18,91 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 |
[
39,
17,
15,
49
] | 72 | [
"39*17=663",
"15*49=735",
"735-663=72"
] | Current State: 72:[39, 17, 15, 49], Operations: []
Exploring Operation: 39*17=663, Resulting Numbers: [15, 49, 663]
Generated Node #2: [15, 49, 663] from Operation: 39*17=663
Current State: 72:[15, 49, 663], Operations: ['39*17=663']
Exploring Operation: 15*49=735, Resulting Numbers: [663, 735]
Generated Node #3: [663, 735] from Operation: 15*49=735
Current State: 72:[663, 735], Operations: ['39*17=663', '15*49=735']
Exploring Operation: 735-663=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[39, 17, 15, 49], Operations: []
Exploring Operation: 49-39=10, Resulting Numbers: [17, 15, 10]
Generated Node #0,0: 72:[17, 15, 10] Operation: 49-39=10
Moving to Node #0,0
Current State: 72:[17, 15, 10], Operations: ['49-39=10']
Exploring Operation: 17-15=2, Resulting Numbers: [10, 2]
Generated Node #0,0,0: 72:[10, 2] Operation: 17-15=2
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 72:[10, 2], Operations: ['49-39=10', '17-15=2']
Exploring Operation: 10+2=12, Resulting Numbers: [12]
12,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
20,
13,
62,
5
] | 74 | [
"20-13=7",
"62+5=67",
"7+67=74"
] | Current State: 74:[20, 13, 62, 5], Operations: []
Exploring Operation: 20-13=7, Resulting Numbers: [62, 5, 7]
Generated Node #2: [62, 5, 7] from Operation: 20-13=7
Current State: 74:[62, 5, 7], Operations: ['20-13=7']
Exploring Operation: 62+5=67, Resulting Numbers: [7, 67]
Generated Node #3: [7, 67] from Operation: 62+5=67
Current State: 74:[7, 67], Operations: ['20-13=7', '62+5=67']
Exploring Operation: 7+67=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[20, 13, 62, 5], Operations: []
Exploring Operation: 20+13=33, Resulting Numbers: [62, 5, 33]
Generated Node #0,0: 74:[62, 5, 33] Operation: 20+13=33
Start Sub Search at level 1: Moving to Node #0,0
Current State: 74:[62, 5, 33], Operations: ['20+13=33']
Exploring Operation: 62+5=67, Resulting Numbers: [33, 67]
Generated Node #0,0,0: 74:[33, 67] Operation: 62+5=67
Moving to Node #0,0,0
Current State: 74:[33, 67], Operations: ['20+13=33', '62+5=67']
Exploring Operation: 67-33=34, Resulting Numbers: [34]
34,74 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 |
[
23,
24,
96,
4
] | 20 | [
"23*4=92",
"96-24=72",
"92-72=20"
] | Current State: 20:[23, 24, 96, 4], Operations: []
Exploring Operation: 23*4=92, Resulting Numbers: [24, 96, 92]
Generated Node #2: [24, 96, 92] from Operation: 23*4=92
Current State: 20:[24, 96, 92], Operations: ['23*4=92']
Exploring Operation: 96-24=72, Resulting Numbers: [92, 72]
Generated Node #3: [92, 72] from Operation: 96-24=72
Current State: 20:[92, 72], Operations: ['23*4=92', '96-24=72']
Exploring Operation: 92-72=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[23, 24, 96, 4], Operations: []
Exploring Operation: 96/4=24, Resulting Numbers: [23, 24, 24]
Generated Node #0,0: 20:[23, 24, 24] Operation: 96/4=24
Exploring Operation: 96-24=72, Resulting Numbers: [23, 4, 72]
Generated Node #0,1: 20:[23, 4, 72] Operation: 96-24=72
Exploring Operation: 96-23=73, Resulting Numbers: [24, 4, 73]
Generated Node #0,2: 20:[24, 4, 73] Operation: 96-23=73
Exploring Operation: 96/24=4, Resulting Numbers: [23, 4, 4]
Generated Node #0,3: 20:[23, 4, 4] Operation: 96/24=4
Moving to Node #0,3
Current State: 20:[23, 4, 4], Operations: ['96/24=4']
Exploring Operation: 4/4=1, Resulting Numbers: [23, 1]
Generated Node #0,3,0: 20:[23, 1] Operation: 4/4=1
Exploring Operation: 4+4=8, Resulting Numbers: [23, 8]
Generated Node #0,3,1: 20:[23, 8] Operation: 4+4=8
Exploring Operation: 23-4=19, Resulting Numbers: [4, 19]
Generated Node #0,3,2: 20:[4, 19] Operation: 23-4=19
Exploring Operation: 23-4=19, Resulting Numbers: [4, 19]
Generated Node #0,3,3: 20:[4, 19] Operation: 23-4=19
Moving to Node #0,0
Current State: 20:[23, 24, 24], Operations: ['96/4=24']
Exploring Operation: 24-24=0, Resulting Numbers: [23, 0]
Generated Node #0,0,0: 20:[23, 0] Operation: 24-24=0
Exploring Operation: 24-23=1, Resulting Numbers: [24, 1]
Generated Node #0,0,1: 20:[24, 1] Operation: 24-23=1
Exploring Operation: 24-23=1, Resulting Numbers: [24, 1]
Generated Node #0,0,2: 20:[24, 1] Operation: 24-23=1
Exploring Operation: 24/24=1, Resulting Numbers: [23, 1]
Generated Node #0,0,3: 20:[23, 1] Operation: 24/24=1
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 20:[23, 1], Operations: ['96/4=24', '24/24=1']
Exploring Operation: 23+1=24, Resulting Numbers: [24]
24,20 unequal: No Solution
Exploring Operation: 23*1=23, Resulting Numbers: [23]
23,20 unequal: No Solution
Exploring Operation: 23-1=22, Resulting Numbers: [22]
22,20 unequal: No Solution
Exploring Operation: 23/1=23, Resulting Numbers: [23]
23,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 20:[23, 0], Operations: ['96/4=24', '24-24=0']
Exploring Operation: 23-0=23, Resulting Numbers: [23]
23,20 unequal: No Solution
Exploring Operation: 23*0=0, Resulting Numbers: [0]
0,20 unequal: No Solution
Exploring Operation: 23+0=23, Resulting Numbers: [23]
23,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 20:[24, 1], Operations: ['96/4=24', '24-23=1']
Exploring Operation: 24*1=24, Resulting Numbers: [24]
24,20 unequal: No Solution
Exploring Operation: 24-1=23, Resulting Numbers: [23]
23,20 unequal: No Solution
Exploring Operation: 24/1=24, Resulting Numbers: [24]
24,20 unequal: No Solution
Exploring Operation: 24+1=25, Resulting Numbers: [25]
25,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 20:[24, 1], Operations: ['96/4=24', '24-23=1']
Exploring Operation: 24*1=24, Resulting Numbers: [24]
24,20 unequal: No Solution
Exploring Operation: 24+1=25, Resulting Numbers: [25]
25,20 unequal: No Solution
Exploring Operation: 24/1=24, Resulting Numbers: [24]
24,20 unequal: No Solution
Exploring Operation: 24-1=23, Resulting Numbers: [23]
23,20 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: 20:[23, 4, 72], Operations: ['96-24=72']
Exploring Operation: 72/4=18, Resulting Numbers: [23, 18]
Generated Node #0,1,0: 20:[23, 18] Operation: 72/4=18
Exploring Operation: 72-4=68, Resulting Numbers: [23, 68]
Generated Node #0,1,1: 20:[23, 68] Operation: 72-4=68
Exploring Operation: 72-23=49, Resulting Numbers: [4, 49]
Generated Node #0,1,2: 20:[4, 49] Operation: 72-23=49
Exploring Operation: 23-4=19, Resulting Numbers: [72, 19]
Generated Node #0,1,3: 20:[72, 19] Operation: 23-4=19
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 20:[23, 18], Operations: ['96-24=72', '72/4=18']
Exploring Operation: 23*18=414, Resulting Numbers: [414]
414,20 unequal: No Solution
Exploring Operation: 23-18=5, Resulting Numbers: [5]
5,20 unequal: No Solution
Exploring Operation: 23+18=41, Resulting Numbers: [41]
41,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 20:[4, 49], Operations: ['96-24=72', '72-23=49']
Exploring Operation: 49-4=45, Resulting Numbers: [45]
45,20 unequal: No Solution
Exploring Operation: 4*49=196, Resulting Numbers: [196]
196,20 unequal: No Solution
Exploring Operation: 4+49=53, Resulting Numbers: [53]
53,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 20:[23, 68], Operations: ['96-24=72', '72-4=68']
Exploring Operation: 68-23=45, Resulting Numbers: [45]
45,20 unequal: No Solution
Exploring Operation: 23+68=91, Resulting Numbers: [91]
91,20 unequal: No Solution
Exploring Operation: 23*68=1564, Resulting Numbers: [1564]
1564,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 20:[72, 19], Operations: ['96-24=72', '23-4=19']
Exploring Operation: 72-19=53, Resulting Numbers: [53]
53,20 unequal: No Solution
Exploring Operation: 72*19=1368, Resulting Numbers: [1368]
1368,20 unequal: No Solution
Exploring Operation: 72+19=91, Resulting Numbers: [91]
91,20 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: 20:[24, 4, 73], Operations: ['96-23=73']
Exploring Operation: 24/4=6, Resulting Numbers: [73, 6]
Generated Node #0,2,0: 20:[73, 6] Operation: 24/4=6
Exploring Operation: 73-4=69, Resulting Numbers: [24, 69]
Generated Node #0,2,1: 20:[24, 69] Operation: 73-4=69
Exploring Operation: 73-24=49, Resulting Numbers: [4, 49]
Generated Node #0,2,2: 20:[4, 49] Operation: 73-24=49
Exploring Operation: 24-4=20, Resulting Numbers: [73, 20]
Generated Node #0,2,3: 20:[73, 20] Operation: 24-4=20
Moving to Node #0,3,2
Current State: 20:[4, 19], Operations: ['96/24=4', '23-4=19']
Exploring Operation: 19-4=15, Resulting Numbers: [15]
15,20 unequal: No Solution
Exploring Operation: 4+19=23, Resulting Numbers: [23]
23,20 unequal: No Solution
Exploring Operation: 4*19=76, Resulting Numbers: [76]
76,20 unequal: No Solution
Moving to Node #0,3,3
Current State: 20:[4, 19], Operations: ['96/24=4', '23-4=19']
Exploring Operation: 4+19=23, Resulting Numbers: [23]
23,20 unequal: No Solution
Exploring Operation: 4*19=76, Resulting Numbers: [76]
76,20 unequal: No Solution
Exploring Operation: 19-4=15, Resulting Numbers: [15]
15,20 unequal: No Solution
Moving to Node #0,3,0
Current State: 20:[23, 1], Operations: ['96/24=4', '4/4=1']
Exploring Operation: 23/1=23, Resulting Numbers: [23]
23,20 unequal: No Solution
Exploring Operation: 23-1=22, Resulting Numbers: [22]
22,20 unequal: No Solution
Exploring Operation: 23+1=24, Resulting Numbers: [24]
24,20 unequal: No Solution
Exploring Operation: 23*1=23, Resulting Numbers: [23]
23,20 unequal: No Solution
Moving to Node #0,3,1
Current State: 20:[23, 8], Operations: ['96/24=4', '4+4=8']
Exploring Operation: 23+8=31, Resulting Numbers: [31]
31,20 unequal: No Solution
Exploring Operation: 23-8=15, Resulting Numbers: [15]
15,20 unequal: No Solution
Exploring Operation: 23*8=184, Resulting Numbers: [184]
184,20 unequal: No Solution
Moving to Node #0,2,2
Current State: 20:[4, 49], Operations: ['96-23=73', '73-24=49']
Exploring Operation: 4+49=53, Resulting Numbers: [53]
53,20 unequal: No Solution
Exploring Operation: 49-4=45, Resulting Numbers: [45]
45,20 unequal: No Solution
Exploring Operation: 4*49=196, Resulting Numbers: [196]
196,20 unequal: No Solution
Moving to Node #0,2,1
Current State: 20:[24, 69], Operations: ['96-23=73', '73-4=69']
Exploring Operation: 24*69=1656, Resulting Numbers: [1656]
1656,20 unequal: No Solution
Exploring Operation: 24+69=93, Resulting Numbers: [93]
93,20 unequal: No Solution
Exploring Operation: 69-24=45, Resulting Numbers: [45]
45,20 unequal: No Solution
Moving to Node #0,2,3
Current State: 20:[73, 20], Operations: ['96-23=73', '24-4=20']
Exploring Operation: 73-20=53, Resulting Numbers: [53]
53,20 unequal: No Solution
Exploring Operation: 73+20=93, Resulting Numbers: [93]
93,20 unequal: No Solution
Exploring Operation: 73*20=1460, Resulting Numbers: [1460]
1460,20 unequal: No Solution
Moving to Node #0,2,0
Current State: 20:[73, 6], Operations: ['96-23=73', '24/4=6']
Exploring Operation: 73+6=79, Resulting Numbers: [79]
79,20 unequal: No Solution
Exploring Operation: 73*6=438, Resulting Numbers: [438]
438,20 unequal: No Solution
Exploring Operation: 73-6=67, Resulting Numbers: [67]
67,20 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
35,
65,
70,
33
] | 67 | [
"65-35=30",
"70-33=37",
"30+37=67"
] | Current State: 67:[35, 65, 70, 33], Operations: []
Exploring Operation: 65-35=30, Resulting Numbers: [70, 33, 30]
Generated Node #2: [70, 33, 30] from Operation: 65-35=30
Current State: 67:[70, 33, 30], Operations: ['65-35=30']
Exploring Operation: 70-33=37, Resulting Numbers: [30, 37]
Generated Node #3: [30, 37] from Operation: 70-33=37
Current State: 67:[30, 37], Operations: ['65-35=30', '70-33=37']
Exploring Operation: 30+37=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[35, 65, 70, 33], Operations: []
Exploring Operation: 35+33=68, Resulting Numbers: [65, 70, 68]
Generated Node #0,0: 67:[65, 70, 68] Operation: 35+33=68
Exploring Operation: 70-33=37, Resulting Numbers: [35, 65, 37]
Generated Node #0,1: 67:[35, 65, 37] Operation: 70-33=37
Exploring Operation: 70-35=35, Resulting Numbers: [65, 33, 35]
Generated Node #0,2: 67:[65, 33, 35] Operation: 70-35=35
Exploring Operation: 65+33=98, Resulting Numbers: [35, 70, 98]
Generated Node #0,3: 67:[35, 70, 98] Operation: 65+33=98
Start Sub Search at level 1: Moving to Node #0,0
Current State: 67:[65, 70, 68], Operations: ['35+33=68']
Exploring Operation: 65+70=135, Resulting Numbers: [68, 135]
Generated Node #0,0,0: 67:[68, 135] Operation: 65+70=135
Exploring Operation: 70-65=5, Resulting Numbers: [68, 5]
Generated Node #0,0,1: 67:[68, 5] Operation: 70-65=5
Exploring Operation: 68-65=3, Resulting Numbers: [70, 3]
Generated Node #0,0,2: 67:[70, 3] Operation: 68-65=3
Exploring Operation: 70-68=2, Resulting Numbers: [65, 2]
Generated Node #0,0,3: 67:[65, 2] Operation: 70-68=2
Moving to Node #0,0,1
Current State: 67:[68, 5], Operations: ['35+33=68', '70-65=5']
Exploring Operation: 68+5=73, Resulting Numbers: [73]
73,67 unequal: No Solution
Exploring Operation: 68*5=340, Resulting Numbers: [340]
340,67 unequal: No Solution
Exploring Operation: 68-5=63, Resulting Numbers: [63]
63,67 unequal: No Solution
Moving to Node #0,0,3
Current State: 67:[65, 2], Operations: ['35+33=68', '70-68=2']
Exploring Operation: 65+2=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
Moving to Node #0
Current State: 67:[35, 65, 70, 33], Operations: []
Exploring Operation: 35+33=68, Resulting Numbers: [65, 70, 68]
Generated Node #0,0: 67:[65, 70, 68] Operation: 35+33=68
Moving to Node #0,0
Current State: 67:[65, 70, 68], Operations: ['35+33=68']
Exploring Operation: 70-68=2, Resulting Numbers: [65, 2]
Generated Node #0,0,3: 67:[65, 2] Operation: 70-68=2
Moving to Node #0,0,3
Current State: 67:[65, 2], Operations: ['35+33=68', '70-68=2']
Exploring Operation: 65+2=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_4 | mult_heuristic |
[
40,
69,
74,
25
] | 85 | [
"74-69=5",
"25*5=125",
"125-40=85"
] | Current State: 85:[40, 69, 74, 25], Operations: []
Exploring Operation: 74-69=5, Resulting Numbers: [40, 25, 5]
Generated Node #2: [40, 25, 5] from Operation: 74-69=5
Current State: 85:[40, 25, 5], Operations: ['74-69=5']
Exploring Operation: 25*5=125, Resulting Numbers: [40, 125]
Generated Node #3: [40, 125] from Operation: 25*5=125
Current State: 85:[40, 125], Operations: ['74-69=5', '25*5=125']
Exploring Operation: 125-40=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[40, 69, 74, 25], Operations: []
Exploring Operation: 69-40=29, Resulting Numbers: [74, 25, 29]
Generated Node #0,0: 85:[74, 25, 29] Operation: 69-40=29
Exploring Operation: 40-25=15, Resulting Numbers: [69, 74, 15]
Generated Node #0,1: 85:[69, 74, 15] Operation: 40-25=15
Moving to Node #0,1
Current State: 85:[69, 74, 15], Operations: ['40-25=15']
Exploring Operation: 69+15=84, Resulting Numbers: [74, 84]
Generated Node #0,1,0: 85:[74, 84] Operation: 69+15=84
Exploring Operation: 74-69=5, Resulting Numbers: [15, 5]
Generated Node #0,1,1: 85:[15, 5] Operation: 74-69=5
Moving to Node #0,0
Current State: 85:[74, 25, 29], Operations: ['69-40=29']
Exploring Operation: 29-25=4, Resulting Numbers: [74, 4]
Generated Node #0,0,0: 85:[74, 4] Operation: 29-25=4
Exploring Operation: 74+25=99, Resulting Numbers: [29, 99]
Generated Node #0,0,1: 85:[29, 99] Operation: 74+25=99
Moving to Node #0,1,1
Current State: 85:[15, 5], Operations: ['40-25=15', '74-69=5']
Exploring Operation: 15/5=3, Resulting Numbers: [3]
3,85 unequal: No Solution
Exploring Operation: 15+5=20, Resulting Numbers: [20]
20,85 unequal: No Solution
Moving to Node #0,0,0
Current State: 85:[74, 4], Operations: ['69-40=29', '29-25=4']
Exploring Operation: 74+4=78, Resulting Numbers: [78]
78,85 unequal: No Solution
Exploring Operation: 74-4=70, Resulting Numbers: [70]
70,85 unequal: No Solution
Moving to Node #0,1,0
Current State: 85:[74, 84], Operations: ['40-25=15', '69+15=84']
Exploring Operation: 74+84=158, Resulting Numbers: [158]
158,85 unequal: No Solution
Exploring Operation: 84-74=10, Resulting Numbers: [10]
10,85 unequal: No Solution
Moving to Node #0,0,1
Current State: 85:[29, 99], Operations: ['69-40=29', '74+25=99']
Exploring Operation: 29+99=128, Resulting Numbers: [128]
128,85 unequal: No Solution
Exploring Operation: 99-29=70, Resulting Numbers: [70]
70,85 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
83,
14,
33,
39
] | 86 | [
"33*39=1287",
"1287-83=1204",
"1204/14=86"
] | Current State: 86:[83, 14, 33, 39], Operations: []
Exploring Operation: 33*39=1287, Resulting Numbers: [83, 14, 1287]
Generated Node #2: [83, 14, 1287] from Operation: 33*39=1287
Current State: 86:[83, 14, 1287], Operations: ['33*39=1287']
Exploring Operation: 1287-83=1204, Resulting Numbers: [14, 1204]
Generated Node #3: [14, 1204] from Operation: 1287-83=1204
Current State: 86:[14, 1204], Operations: ['33*39=1287', '1287-83=1204']
Exploring Operation: 1204/14=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[83, 14, 33, 39], Operations: []
Exploring Operation: 83-33=50, Resulting Numbers: [14, 39, 50]
Generated Node #0,0: 86:[14, 39, 50] Operation: 83-33=50
Exploring Operation: 83-39=44, Resulting Numbers: [14, 33, 44]
Generated Node #0,1: 86:[14, 33, 44] Operation: 83-39=44
Exploring Operation: 39-33=6, Resulting Numbers: [83, 14, 6]
Generated Node #0,2: 86:[83, 14, 6] Operation: 39-33=6
Exploring Operation: 14+33=47, Resulting Numbers: [83, 39, 47]
Generated Node #0,3: 86:[83, 39, 47] Operation: 14+33=47
Exploring Operation: 14+39=53, Resulting Numbers: [83, 33, 53]
Generated Node #0,4: 86:[83, 33, 53] Operation: 14+39=53
Moving to Node #0,3
Current State: 86:[83, 39, 47], Operations: ['14+33=47']
Exploring Operation: 83+39=122, Resulting Numbers: [47, 122]
Generated Node #0,3,0: 86:[47, 122] Operation: 83+39=122
Exploring Operation: 83-47=36, Resulting Numbers: [39, 36]
Generated Node #0,3,1: 86:[39, 36] Operation: 83-47=36
Exploring Operation: 39+47=86, Resulting Numbers: [83, 86]
Generated Node #0,3,2: 86:[83, 86] Operation: 39+47=86
Exploring Operation: 83-39=44, Resulting Numbers: [47, 44]
Generated Node #0,3,3: 86:[47, 44] Operation: 83-39=44
Exploring Operation: 47-39=8, Resulting Numbers: [83, 8]
Generated Node #0,3,4: 86:[83, 8] Operation: 47-39=8
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 86:[83, 86], Operations: ['14+33=47', '39+47=86']
Exploring Operation: 86-83=3, Resulting Numbers: [3]
3,86 unequal: No Solution
Exploring Operation: 83*86=7138, Resulting Numbers: [7138]
7138,86 unequal: No Solution
Exploring Operation: 83+86=169, Resulting Numbers: [169]
169,86 unequal: No Solution
No 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: 86:[47, 44], Operations: ['14+33=47', '83-39=44']
Exploring Operation: 47+44=91, Resulting Numbers: [91]
91,86 unequal: No Solution
Exploring Operation: 47*44=2068, Resulting Numbers: [2068]
2068,86 unequal: No Solution
Exploring Operation: 47-44=3, Resulting Numbers: [3]
3,86 unequal: No Solution
No 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: 86:[83, 8], Operations: ['14+33=47', '47-39=8']
Exploring Operation: 83-8=75, Resulting Numbers: [75]
75,86 unequal: No Solution
Exploring Operation: 83*8=664, Resulting Numbers: [664]
664,86 unequal: No Solution
Exploring Operation: 83+8=91, Resulting Numbers: [91]
91,86 unequal: No Solution
No 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: 86:[39, 36], Operations: ['14+33=47', '83-47=36']
Exploring Operation: 39*36=1404, Resulting Numbers: [1404]
1404,86 unequal: No Solution
Exploring Operation: 39+36=75, Resulting Numbers: [75]
75,86 unequal: No Solution
Exploring Operation: 39-36=3, Resulting Numbers: [3]
3,86 unequal: No Solution
No 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: 86:[47, 122], Operations: ['14+33=47', '83+39=122']
Exploring Operation: 122-47=75, Resulting Numbers: [75]
75,86 unequal: No Solution
Exploring Operation: 47*122=5734, Resulting Numbers: [5734]
5734,86 unequal: No Solution
Exploring Operation: 47+122=169, Resulting Numbers: [169]
169,86 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: 86:[83, 14, 6], Operations: ['39-33=6']
Exploring Operation: 83+6=89, Resulting Numbers: [14, 89]
Generated Node #0,2,0: 86:[14, 89] Operation: 83+6=89
Exploring Operation: 83-14=69, Resulting Numbers: [6, 69]
Generated Node #0,2,1: 86:[6, 69] Operation: 83-14=69
Exploring Operation: 83+14=97, Resulting Numbers: [6, 97]
Generated Node #0,2,2: 86:[6, 97] Operation: 83+14=97
Exploring Operation: 14*6=84, Resulting Numbers: [83, 84]
Generated Node #0,2,3: 86:[83, 84] Operation: 14*6=84
Exploring Operation: 14-6=8, Resulting Numbers: [83, 8]
Generated Node #0,2,4: 86:[83, 8] Operation: 14-6=8
Moving to Node #0,0
Current State: 86:[14, 39, 50], Operations: ['83-33=50']
Exploring Operation: 50-39=11, Resulting Numbers: [14, 11]
Generated Node #0,0,0: 86:[14, 11] Operation: 50-39=11
Exploring Operation: 50-14=36, Resulting Numbers: [39, 36]
Generated Node #0,0,1: 86:[39, 36] Operation: 50-14=36
Exploring Operation: 39-14=25, Resulting Numbers: [50, 25]
Generated Node #0,0,2: 86:[50, 25] Operation: 39-14=25
Exploring Operation: 39+50=89, Resulting Numbers: [14, 89]
Generated Node #0,0,3: 86:[14, 89] Operation: 39+50=89
Exploring Operation: 14+39=53, Resulting Numbers: [50, 53]
Generated Node #0,0,4: 86:[50, 53] Operation: 14+39=53
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 86:[39, 36], Operations: ['83-33=50', '50-14=36']
Exploring Operation: 39+36=75, Resulting Numbers: [75]
75,86 unequal: No Solution
Exploring Operation: 39*36=1404, Resulting Numbers: [1404]
1404,86 unequal: No Solution
Exploring Operation: 39-36=3, Resulting Numbers: [3]
3,86 unequal: No Solution
No 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: 86:[14, 89], Operations: ['83-33=50', '39+50=89']
Exploring Operation: 14+89=103, Resulting Numbers: [103]
103,86 unequal: No Solution
Exploring Operation: 89-14=75, Resulting Numbers: [75]
75,86 unequal: No Solution
Exploring Operation: 14*89=1246, Resulting Numbers: [1246]
1246,86 unequal: No Solution
No 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: 86:[50, 53], Operations: ['83-33=50', '14+39=53']
Exploring Operation: 53-50=3, Resulting Numbers: [3]
3,86 unequal: No Solution
Exploring Operation: 50+53=103, Resulting Numbers: [103]
103,86 unequal: No Solution
Exploring Operation: 50*53=2650, Resulting Numbers: [2650]
2650,86 unequal: No Solution
No 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: 86:[14, 11], Operations: ['83-33=50', '50-39=11']
Exploring Operation: 14*11=154, Resulting Numbers: [154]
154,86 unequal: No Solution
Exploring Operation: 14+11=25, Resulting Numbers: [25]
25,86 unequal: No Solution
Exploring Operation: 14-11=3, Resulting Numbers: [3]
3,86 unequal: No Solution
No 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: 86:[50, 25], Operations: ['83-33=50', '39-14=25']
Exploring Operation: 50*25=1250, Resulting Numbers: [1250]
1250,86 unequal: No Solution
Exploring Operation: 50-25=25, Resulting Numbers: [25]
25,86 unequal: No Solution
Exploring Operation: 50/25=2, Resulting Numbers: [2]
2,86 unequal: No Solution
Exploring Operation: 50+25=75, Resulting Numbers: [75]
75,86 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: 86:[14, 33, 44], Operations: ['83-39=44']
Exploring Operation: 44-33=11, Resulting Numbers: [14, 11]
Generated Node #0,1,0: 86:[14, 11] Operation: 44-33=11
Exploring Operation: 33+44=77, Resulting Numbers: [14, 77]
Generated Node #0,1,1: 86:[14, 77] Operation: 33+44=77
Exploring Operation: 44-14=30, Resulting Numbers: [33, 30]
Generated Node #0,1,2: 86:[33, 30] Operation: 44-14=30
Exploring Operation: 14+33=47, Resulting Numbers: [44, 47]
Generated Node #0,1,3: 86:[44, 47] Operation: 14+33=47
Exploring Operation: 33-14=19, Resulting Numbers: [44, 19]
Generated Node #0,1,4: 86:[44, 19] Operation: 33-14=19
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 86:[44, 47], Operations: ['83-39=44', '14+33=47']
Exploring Operation: 44+47=91, Resulting Numbers: [91]
91,86 unequal: No Solution
Exploring Operation: 44*47=2068, Resulting Numbers: [2068]
2068,86 unequal: No Solution
Exploring Operation: 47-44=3, Resulting Numbers: [3]
3,86 unequal: No Solution
No 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: 86:[44, 19], Operations: ['83-39=44', '33-14=19']
Exploring Operation: 44*19=836, Resulting Numbers: [836]
836,86 unequal: No Solution
Exploring Operation: 44+19=63, Resulting Numbers: [63]
63,86 unequal: No Solution
Exploring Operation: 44-19=25, Resulting Numbers: [25]
25,86 unequal: No Solution
No 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: 86:[14, 11], Operations: ['83-39=44', '44-33=11']
Exploring Operation: 14*11=154, Resulting Numbers: [154]
154,86 unequal: No Solution
Exploring Operation: 14+11=25, Resulting Numbers: [25]
25,86 unequal: No Solution
Exploring Operation: 14-11=3, Resulting Numbers: [3]
3,86 unequal: No Solution
No 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: 86:[14, 77], Operations: ['83-39=44', '33+44=77']
Exploring Operation: 77-14=63, Resulting Numbers: [63]
63,86 unequal: No Solution
Exploring Operation: 14+77=91, Resulting Numbers: [91]
91,86 unequal: No Solution
Exploring Operation: 14*77=1078, Resulting Numbers: [1078]
1078,86 unequal: No Solution
No 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: 86:[33, 30], Operations: ['83-39=44', '44-14=30']
Exploring Operation: 33-30=3, Resulting Numbers: [3]
3,86 unequal: No Solution
Exploring Operation: 33*30=990, Resulting Numbers: [990]
990,86 unequal: No Solution
Exploring Operation: 33+30=63, Resulting Numbers: [63]
63,86 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: 86:[83, 33, 53], Operations: ['14+39=53']
Exploring Operation: 53-33=20, Resulting Numbers: [83, 20]
Generated Node #0,4,0: 86:[83, 20] Operation: 53-33=20
Exploring Operation: 33+53=86, Resulting Numbers: [83, 86]
Generated Node #0,4,1: 86:[83, 86] Operation: 33+53=86
Exploring Operation: 83-33=50, Resulting Numbers: [53, 50]
Generated Node #0,4,2: 86:[53, 50] Operation: 83-33=50
Exploring Operation: 83+33=116, Resulting Numbers: [53, 116]
Generated Node #0,4,3: 86:[53, 116] Operation: 83+33=116
Exploring Operation: 83-53=30, Resulting Numbers: [33, 30]
Generated Node #0,4,4: 86:[33, 30] Operation: 83-53=30
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 86:[83, 86], Operations: ['14+39=53', '33+53=86']
Exploring Operation: 83+86=169, Resulting Numbers: [169]
169,86 unequal: No Solution
Exploring Operation: 86-83=3, Resulting Numbers: [3]
3,86 unequal: No Solution
Exploring Operation: 83*86=7138, Resulting Numbers: [7138]
7138,86 unequal: No Solution
No 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: 86:[53, 50], Operations: ['14+39=53', '83-33=50']
Exploring Operation: 53+50=103, Resulting Numbers: [103]
103,86 unequal: No Solution
Exploring Operation: 53-50=3, Resulting Numbers: [3]
3,86 unequal: No Solution
Exploring Operation: 53*50=2650, Resulting Numbers: [2650]
2650,86 unequal: No Solution
No 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: 86:[83, 20], Operations: ['14+39=53', '53-33=20']
Exploring Operation: 83*20=1660, Resulting Numbers: [1660]
1660,86 unequal: No Solution
Exploring Operation: 83-20=63, Resulting Numbers: [63]
63,86 unequal: No Solution
Exploring Operation: 83+20=103, Resulting Numbers: [103]
103,86 unequal: No Solution
No 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: 86:[33, 30], Operations: ['14+39=53', '83-53=30']
Exploring Operation: 33+30=63, Resulting Numbers: [63]
63,86 unequal: No Solution
Exploring Operation: 33-30=3, Resulting Numbers: [3]
3,86 unequal: No Solution
Exploring Operation: 33*30=990, Resulting Numbers: [990]
990,86 unequal: No Solution
No 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: 86:[53, 116], Operations: ['14+39=53', '83+33=116']
Exploring Operation: 53*116=6148, Resulting Numbers: [6148]
6148,86 unequal: No Solution
Exploring Operation: 116-53=63, Resulting Numbers: [63]
63,86 unequal: No Solution
Exploring Operation: 53+116=169, Resulting Numbers: [169]
169,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,3
Current State: 86:[83, 84], Operations: ['39-33=6', '14*6=84']
Exploring Operation: 83*84=6972, Resulting Numbers: [6972]
6972,86 unequal: No Solution
Exploring Operation: 83+84=167, Resulting Numbers: [167]
167,86 unequal: No Solution
Exploring Operation: 84-83=1, Resulting Numbers: [1]
1,86 unequal: No Solution
Moving to Node #0,2,4
Current State: 86:[83, 8], Operations: ['39-33=6', '14-6=8']
Exploring Operation: 83*8=664, Resulting Numbers: [664]
664,86 unequal: No Solution
Exploring Operation: 83+8=91, Resulting Numbers: [91]
91,86 unequal: No Solution
Exploring Operation: 83-8=75, Resulting Numbers: [75]
75,86 unequal: No Solution
Moving to Node #0,2,0
Current State: 86:[14, 89], Operations: ['39-33=6', '83+6=89']
Exploring Operation: 14+89=103, Resulting Numbers: [103]
103,86 unequal: No Solution
Exploring Operation: 14*89=1246, Resulting Numbers: [1246]
1246,86 unequal: No Solution
Exploring Operation: 89-14=75, Resulting Numbers: [75]
75,86 unequal: No Solution
Moving to Node #0,2,2
Current State: 86:[6, 97], Operations: ['39-33=6', '83+14=97']
Exploring Operation: 6+97=103, Resulting Numbers: [103]
103,86 unequal: No Solution
Exploring Operation: 6*97=582, Resulting Numbers: [582]
582,86 unequal: No Solution
Exploring Operation: 97-6=91, Resulting Numbers: [91]
91,86 unequal: No Solution
Moving to Node #0,2,1
Current State: 86:[6, 69], Operations: ['39-33=6', '83-14=69']
Exploring Operation: 6+69=75, Resulting Numbers: [75]
75,86 unequal: No Solution
Exploring Operation: 69-6=63, Resulting Numbers: [63]
63,86 unequal: No Solution
Exploring Operation: 6*69=414, Resulting Numbers: [414]
414,86 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
14,
10,
56,
36
] | 22 | [
"14-10=4",
"56/4=14",
"36-14=22"
] | Current State: 22:[14, 10, 56, 36], Operations: []
Exploring Operation: 14-10=4, Resulting Numbers: [56, 36, 4]
Generated Node #2: [56, 36, 4] from Operation: 14-10=4
Current State: 22:[56, 36, 4], Operations: ['14-10=4']
Exploring Operation: 56/4=14, Resulting Numbers: [36, 14]
Generated Node #3: [36, 14] from Operation: 56/4=14
Current State: 22:[36, 14], Operations: ['14-10=4', '56/4=14']
Exploring Operation: 36-14=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[14, 10, 56, 36], Operations: []
Exploring Operation: 56-36=20, Resulting Numbers: [14, 10, 20]
Generated Node #0,0: 22:[14, 10, 20] Operation: 56-36=20
Exploring Operation: 56/14=4, Resulting Numbers: [10, 36, 4]
Generated Node #0,1: 22:[10, 36, 4] Operation: 56/14=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 22:[14, 10, 20], Operations: ['56-36=20']
Exploring Operation: 14+10=24, Resulting Numbers: [20, 24]
Generated Node #0,0,0: 22:[20, 24] Operation: 14+10=24
Exploring Operation: 20/10=2, Resulting Numbers: [14, 2]
Generated Node #0,0,1: 22:[14, 2] Operation: 20/10=2
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 22:[14, 2], Operations: ['56-36=20', '20/10=2']
Exploring Operation: 14-2=12, Resulting Numbers: [12]
12,22 unequal: No Solution
Exploring Operation: 14/2=7, Resulting Numbers: [7]
7,22 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 22:[20, 24], Operations: ['56-36=20', '14+10=24']
Exploring Operation: 24-20=4, Resulting Numbers: [4]
4,22 unequal: No Solution
Exploring Operation: 20+24=44, Resulting Numbers: [44]
44,22 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 22:[10, 36, 4], Operations: ['56/14=4']
Exploring Operation: 36-10=26, Resulting Numbers: [4, 26]
Generated Node #0,1,0: 22:[4, 26] Operation: 36-10=26
Exploring Operation: 36/4=9, Resulting Numbers: [10, 9]
Generated Node #0,1,1: 22:[10, 9] Operation: 36/4=9
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 22:[10, 9], Operations: ['56/14=4', '36/4=9']
Exploring Operation: 10+9=19, Resulting Numbers: [19]
19,22 unequal: No Solution
Exploring Operation: 10-9=1, Resulting Numbers: [1]
1,22 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 22:[4, 26], Operations: ['56/14=4', '36-10=26']
Exploring Operation: 26-4=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Moving to Node #0
Current State: 22:[14, 10, 56, 36], Operations: []
Exploring Operation: 56/14=4, Resulting Numbers: [10, 36, 4]
Generated Node #0,1: 22:[10, 36, 4] Operation: 56/14=4
Moving to Node #0,1
Current State: 22:[10, 36, 4], Operations: ['56/14=4']
Exploring Operation: 36-10=26, Resulting Numbers: [4, 26]
Generated Node #0,1,0: 22:[4, 26] Operation: 36-10=26
Moving to Node #0,1,0
Current State: 22:[4, 26], Operations: ['56/14=4', '36-10=26']
Exploring Operation: 26-4=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.985243 | hs_2 | mult_heuristic |
[
69,
33,
22,
81
] | 15 | [
"22*81=1782",
"1782/33=54",
"69-54=15"
] | Current State: 15:[69, 33, 22, 81], Operations: []
Exploring Operation: 22*81=1782, Resulting Numbers: [69, 33, 1782]
Generated Node #2: [69, 33, 1782] from Operation: 22*81=1782
Current State: 15:[69, 33, 1782], Operations: ['22*81=1782']
Exploring Operation: 1782/33=54, Resulting Numbers: [69, 54]
Generated Node #3: [69, 54] from Operation: 1782/33=54
Current State: 15:[69, 54], Operations: ['22*81=1782', '1782/33=54']
Exploring Operation: 69-54=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[69, 33, 22, 81], Operations: []
Exploring Operation: 81-69=12, Resulting Numbers: [33, 22, 12]
Generated Node #0,0: 15:[33, 22, 12] Operation: 81-69=12
Start Sub Search at level 1: Moving to Node #0,0
Current State: 15:[33, 22, 12], Operations: ['81-69=12']
Exploring Operation: 33-22=11, Resulting Numbers: [12, 11]
Generated Node #0,0,0: 15:[12, 11] Operation: 33-22=11
Moving to Node #0,0,0
Current State: 15:[12, 11], Operations: ['81-69=12', '33-22=11']
Exploring Operation: 12-11=1, Resulting Numbers: [1]
1,15 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 |
[
60,
68,
69,
60
] | 68 | [
"60-60=0",
"69*0=0",
"68+0=68"
] | Current State: 68:[60, 68, 69, 60], Operations: []
Exploring Operation: 60-60=0, Resulting Numbers: [68, 69, 0]
Generated Node #2: [68, 69, 0] from Operation: 60-60=0
Current State: 68:[68, 69, 0], Operations: ['60-60=0']
Exploring Operation: 69*0=0, Resulting Numbers: [68, 0]
Generated Node #3: [68, 0] from Operation: 69*0=0
Current State: 68:[68, 0], Operations: ['60-60=0', '69*0=0']
Exploring Operation: 68+0=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[60, 68, 69, 60], Operations: []
Exploring Operation: 60/60=1, Resulting Numbers: [68, 69, 1]
Generated Node #0,0: 68:[68, 69, 1] Operation: 60/60=1
Exploring Operation: 68-60=8, Resulting Numbers: [69, 60, 8]
Generated Node #0,1: 68:[69, 60, 8] Operation: 68-60=8
Exploring Operation: 60-60=0, Resulting Numbers: [68, 69, 0]
Generated Node #0,2: 68:[68, 69, 0] Operation: 60-60=0
Moving to Node #0,0
Current State: 68:[68, 69, 1], Operations: ['60/60=1']
Exploring Operation: 69-1=68, Resulting Numbers: [68, 68]
Generated Node #0,0,0: 68:[68, 68] Operation: 69-1=68
Exploring Operation: 68*1=68, Resulting Numbers: [69, 68]
Generated Node #0,0,1: 68:[69, 68] Operation: 68*1=68
Exploring Operation: 68/1=68, Resulting Numbers: [69, 68]
Generated Node #0,0,2: 68:[69, 68] Operation: 68/1=68
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 68:[68, 68], Operations: ['60/60=1', '69-1=68']
Exploring Operation: 68/68=1, Resulting Numbers: [1]
1,68 unequal: No Solution
Exploring Operation: 68+68=136, Resulting Numbers: [136]
136,68 unequal: No Solution
Exploring Operation: 68-68=0, Resulting Numbers: [0]
0,68 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:[69, 68], Operations: ['60/60=1', '68*1=68']
Exploring Operation: 69+68=137, Resulting Numbers: [137]
137,68 unequal: No Solution
Exploring Operation: 69-68=1, Resulting Numbers: [1]
1,68 unequal: No Solution
Exploring Operation: 69*68=4692, Resulting Numbers: [4692]
4692,68 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:[69, 68], Operations: ['60/60=1', '68/1=68']
Exploring Operation: 69-68=1, Resulting Numbers: [1]
1,68 unequal: No Solution
Exploring Operation: 69+68=137, Resulting Numbers: [137]
137,68 unequal: No Solution
Exploring Operation: 69*68=4692, Resulting Numbers: [4692]
4692,68 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:[68, 69, 0], Operations: ['60-60=0']
Exploring Operation: 68+0=68, Resulting Numbers: [69, 68]
Generated Node #0,2,0: 68:[69, 68] Operation: 68+0=68
Exploring Operation: 68-0=68, Resulting Numbers: [69, 68]
Generated Node #0,2,1: 68:[69, 68] Operation: 68-0=68
Exploring Operation: 69+0=69, Resulting Numbers: [68, 69]
Generated Node #0,2,2: 68:[68, 69] Operation: 69+0=69
Moving to Node #0,1
Current State: 68:[69, 60, 8], Operations: ['68-60=8']
Exploring Operation: 69-8=61, Resulting Numbers: [60, 61]
Generated Node #0,1,0: 68:[60, 61] Operation: 69-8=61
Exploring Operation: 60+8=68, Resulting Numbers: [69, 68]
Generated Node #0,1,1: 68:[69, 68] Operation: 60+8=68
Exploring Operation: 69-60=9, Resulting Numbers: [8, 9]
Generated Node #0,1,2: 68:[8, 9] Operation: 69-60=9
Moving to Node #0,2,0
Current State: 68:[69, 68], Operations: ['60-60=0', '68+0=68']
Exploring Operation: 69+68=137, Resulting Numbers: [137]
137,68 unequal: No Solution
Exploring Operation: 69-68=1, Resulting Numbers: [1]
1,68 unequal: No Solution
Exploring Operation: 69*68=4692, Resulting Numbers: [4692]
4692,68 unequal: No Solution
Moving to Node #0,2,2
Current State: 68:[68, 69], Operations: ['60-60=0', '69+0=69']
Exploring Operation: 68+69=137, Resulting Numbers: [137]
137,68 unequal: No Solution
Exploring Operation: 69-68=1, Resulting Numbers: [1]
1,68 unequal: No Solution
Exploring Operation: 68*69=4692, Resulting Numbers: [4692]
4692,68 unequal: No Solution
Moving to Node #0,2,1
Current State: 68:[69, 68], Operations: ['60-60=0', '68-0=68']
Exploring Operation: 69+68=137, Resulting Numbers: [137]
137,68 unequal: No Solution
Exploring Operation: 69*68=4692, Resulting Numbers: [4692]
4692,68 unequal: No Solution
Exploring Operation: 69-68=1, Resulting Numbers: [1]
1,68 unequal: No Solution
Moving to Node #0,1,1
Current State: 68:[69, 68], Operations: ['68-60=8', '60+8=68']
Exploring Operation: 69+68=137, Resulting Numbers: [137]
137,68 unequal: No Solution
Exploring Operation: 69*68=4692, Resulting Numbers: [4692]
4692,68 unequal: No Solution
Exploring Operation: 69-68=1, Resulting Numbers: [1]
1,68 unequal: No Solution
Moving to Node #0,1,2
Current State: 68:[8, 9], Operations: ['68-60=8', '69-60=9']
Exploring Operation: 9-8=1, Resulting Numbers: [1]
1,68 unequal: No Solution
Exploring Operation: 8+9=17, Resulting Numbers: [17]
17,68 unequal: No Solution
Exploring Operation: 8*9=72, Resulting Numbers: [72]
72,68 unequal: No Solution
Moving to Node #0,1,0
Current State: 68:[60, 61], Operations: ['68-60=8', '69-8=61']
Exploring Operation: 61-60=1, Resulting Numbers: [1]
1,68 unequal: No Solution
Exploring Operation: 60*61=3660, Resulting Numbers: [3660]
3660,68 unequal: No Solution
Exploring Operation: 60+61=121, Resulting Numbers: [121]
121,68 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
2,
68,
3,
21
] | 46 | [
"2+68=70",
"3+21=24",
"70-24=46"
] | Current State: 46:[2, 68, 3, 21], Operations: []
Exploring Operation: 2+68=70, Resulting Numbers: [3, 21, 70]
Generated Node #2: [3, 21, 70] from Operation: 2+68=70
Current State: 46:[3, 21, 70], Operations: ['2+68=70']
Exploring Operation: 3+21=24, Resulting Numbers: [70, 24]
Generated Node #3: [70, 24] from Operation: 3+21=24
Current State: 46:[70, 24], Operations: ['2+68=70', '3+21=24']
Exploring Operation: 70-24=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[2, 68, 3, 21], Operations: []
Exploring Operation: 68/2=34, Resulting Numbers: [3, 21, 34]
Generated Node #0,0: 46:[3, 21, 34] Operation: 68/2=34
Exploring Operation: 68-21=47, Resulting Numbers: [2, 3, 47]
Generated Node #0,1: 46:[2, 3, 47] Operation: 68-21=47
Exploring Operation: 68-3=65, Resulting Numbers: [2, 21, 65]
Generated Node #0,2: 46:[2, 21, 65] Operation: 68-3=65
Start Sub Search at level 1: Moving to Node #0,1
Current State: 46:[2, 3, 47], Operations: ['68-21=47']
Exploring Operation: 47-3=44, Resulting Numbers: [2, 44]
Generated Node #0,1,0: 46:[2, 44] Operation: 47-3=44
Exploring Operation: 47-2=45, Resulting Numbers: [3, 45]
Generated Node #0,1,1: 46:[3, 45] Operation: 47-2=45
Exploring Operation: 3-2=1, Resulting Numbers: [47, 1]
Generated Node #0,1,2: 46:[47, 1] Operation: 3-2=1
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 46:[2, 44], Operations: ['68-21=47', '47-3=44']
Exploring Operation: 44/2=22, Resulting Numbers: [22]
22,46 unequal: No Solution
Exploring Operation: 44-2=42, Resulting Numbers: [42]
42,46 unequal: No Solution
Exploring Operation: 2+44=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Moving to Node #0
Current State: 46:[2, 68, 3, 21], Operations: []
Exploring Operation: 68-21=47, Resulting Numbers: [2, 3, 47]
Generated Node #0,1: 46:[2, 3, 47] Operation: 68-21=47
Moving to Node #0,1
Current State: 46:[2, 3, 47], Operations: ['68-21=47']
Exploring Operation: 47-3=44, Resulting Numbers: [2, 44]
Generated Node #0,1,0: 46:[2, 44] Operation: 47-3=44
Moving to Node #0,1,0
Current State: 46:[2, 44], Operations: ['68-21=47', '47-3=44']
Exploring Operation: 2+44=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 | hs_3 | sum_heuristic |
[
34,
53,
33,
69
] | 56 | [
"33+69=102",
"102/34=3",
"53+3=56"
] | Current State: 56:[34, 53, 33, 69], Operations: []
Exploring Operation: 33+69=102, Resulting Numbers: [34, 53, 102]
Generated Node #2: [34, 53, 102] from Operation: 33+69=102
Current State: 56:[34, 53, 102], Operations: ['33+69=102']
Exploring Operation: 102/34=3, Resulting Numbers: [53, 3]
Generated Node #3: [53, 3] from Operation: 102/34=3
Current State: 56:[53, 3], Operations: ['33+69=102', '102/34=3']
Exploring Operation: 53+3=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[34, 53, 33, 69], Operations: []
Exploring Operation: 34-33=1, Resulting Numbers: [53, 69, 1]
Generated Node #0,0: 56:[53, 69, 1] Operation: 34-33=1
Exploring Operation: 69-34=35, Resulting Numbers: [53, 33, 35]
Generated Node #0,1: 56:[53, 33, 35] Operation: 69-34=35
Exploring Operation: 69-53=16, Resulting Numbers: [34, 33, 16]
Generated Node #0,2: 56:[34, 33, 16] Operation: 69-53=16
Start Sub Search at level 1: Moving to Node #0,2
Current State: 56:[34, 33, 16], Operations: ['69-53=16']
Exploring Operation: 34-33=1, Resulting Numbers: [16, 1]
Generated Node #0,2,0: 56:[16, 1] Operation: 34-33=1
Exploring Operation: 34-16=18, Resulting Numbers: [33, 18]
Generated Node #0,2,1: 56:[33, 18] Operation: 34-16=18
Exploring Operation: 33-16=17, Resulting Numbers: [34, 17]
Generated Node #0,2,2: 56:[34, 17] Operation: 33-16=17
Moving to Node #0,2,0
Current State: 56:[16, 1], Operations: ['69-53=16', '34-33=1']
Exploring Operation: 16/1=16, Resulting Numbers: [16]
16,56 unequal: No Solution
Exploring Operation: 16*1=16, Resulting Numbers: [16]
16,56 unequal: No Solution
Exploring Operation: 16-1=15, Resulting Numbers: [15]
15,56 unequal: No Solution
Moving to Node #0,2,1
Current State: 56:[33, 18], Operations: ['69-53=16', '34-16=18']
Exploring Operation: 33*18=594, Resulting Numbers: [594]
594,56 unequal: No Solution
Exploring Operation: 33-18=15, Resulting Numbers: [15]
15,56 unequal: No Solution
Exploring Operation: 33+18=51, Resulting Numbers: [51]
51,56 unequal: No Solution
Moving to Node #0,2,2
Current State: 56:[34, 17], Operations: ['69-53=16', '33-16=17']
Exploring Operation: 34+17=51, Resulting Numbers: [51]
51,56 unequal: No Solution
Exploring Operation: 34-17=17, Resulting Numbers: [17]
17,56 unequal: No Solution
Exploring Operation: 34/17=2, Resulting Numbers: [2]
2,56 unequal: No Solution
No 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: 56:[53, 33, 35], Operations: ['69-34=35']
Exploring Operation: 53-33=20, Resulting Numbers: [35, 20]
Generated Node #0,1,0: 56:[35, 20] Operation: 53-33=20
Exploring Operation: 35-33=2, Resulting Numbers: [53, 2]
Generated Node #0,1,1: 56:[53, 2] Operation: 35-33=2
Exploring Operation: 53-35=18, Resulting Numbers: [33, 18]
Generated Node #0,1,2: 56:[33, 18] Operation: 53-35=18
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 56:[53, 2], Operations: ['69-34=35', '35-33=2']
Exploring Operation: 53*2=106, Resulting Numbers: [106]
106,56 unequal: No Solution
Exploring Operation: 53-2=51, Resulting Numbers: [51]
51,56 unequal: No Solution
Exploring Operation: 53+2=55, Resulting Numbers: [55]
55,56 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 #0,1,2
Current State: 56:[33, 18], Operations: ['69-34=35', '53-35=18']
Exploring Operation: 33*18=594, Resulting Numbers: [594]
594,56 unequal: No Solution
Exploring Operation: 33-18=15, Resulting Numbers: [15]
15,56 unequal: No Solution
Exploring Operation: 33+18=51, Resulting Numbers: [51]
51,56 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 #0,1,0
Current State: 56:[35, 20], Operations: ['69-34=35', '53-33=20']
Exploring Operation: 35-20=15, Resulting Numbers: [15]
15,56 unequal: No Solution
Exploring Operation: 35*20=700, Resulting Numbers: [700]
700,56 unequal: No Solution
Exploring Operation: 35+20=55, Resulting Numbers: [55]
55,56 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 #0,0
Current State: 56:[53, 69, 1], Operations: ['34-33=1']
Exploring Operation: 69-1=68, Resulting Numbers: [53, 68]
Generated Node #0,0,0: 56:[53, 68] Operation: 69-1=68
Exploring Operation: 53+1=54, Resulting Numbers: [69, 54]
Generated Node #0,0,1: 56:[69, 54] Operation: 53+1=54
Exploring Operation: 69-53=16, Resulting Numbers: [1, 16]
Generated Node #0,0,2: 56:[1, 16] Operation: 69-53=16
Moving to Node #0,0,2
Current State: 56:[1, 16], Operations: ['34-33=1', '69-53=16']
Exploring Operation: 16-1=15, Resulting Numbers: [15]
15,56 unequal: No Solution
Exploring Operation: 1*16=16, Resulting Numbers: [16]
16,56 unequal: No Solution
Exploring Operation: 16/1=16, Resulting Numbers: [16]
16,56 unequal: No Solution
Moving to Node #0,0,0
Current State: 56:[53, 68], Operations: ['34-33=1', '69-1=68']
Exploring Operation: 68-53=15, Resulting Numbers: [15]
15,56 unequal: No Solution
Exploring Operation: 53*68=3604, Resulting Numbers: [3604]
3604,56 unequal: No Solution
Exploring Operation: 53+68=121, Resulting Numbers: [121]
121,56 unequal: No Solution
Moving to Node #0,0,1
Current State: 56:[69, 54], Operations: ['34-33=1', '53+1=54']
Exploring Operation: 69+54=123, Resulting Numbers: [123]
123,56 unequal: No Solution
Exploring Operation: 69-54=15, Resulting Numbers: [15]
15,56 unequal: No Solution
Exploring Operation: 69*54=3726, Resulting Numbers: [3726]
3726,56 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 |
[
12,
65,
68,
64
] | 52 | [
"12+68=80",
"65*64=4160",
"4160/80=52"
] | Current State: 52:[12, 65, 68, 64], Operations: []
Exploring Operation: 12+68=80, Resulting Numbers: [65, 64, 80]
Generated Node #2: [65, 64, 80] from Operation: 12+68=80
Current State: 52:[65, 64, 80], Operations: ['12+68=80']
Exploring Operation: 65*64=4160, Resulting Numbers: [80, 4160]
Generated Node #3: [80, 4160] from Operation: 65*64=4160
Current State: 52:[80, 4160], Operations: ['12+68=80', '65*64=4160']
Exploring Operation: 4160/80=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[12, 65, 68, 64], Operations: []
Exploring Operation: 68-65=3, Resulting Numbers: [12, 64, 3]
Generated Node #0,0: 52:[12, 64, 3] Operation: 68-65=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 52:[12, 64, 3], Operations: ['68-65=3']
Exploring Operation: 64-12=52, Resulting Numbers: [3, 52]
Generated Node #0,0,0: 52:[3, 52] Operation: 64-12=52
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 52:[3, 52], Operations: ['68-65=3', '64-12=52']
Exploring Operation: 3+52=55, Resulting Numbers: [55]
55,52 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 |
[
20,
11,
4,
40
] | 16 | [
"20+40=60",
"11*4=44",
"60-44=16"
] | Current State: 16:[20, 11, 4, 40], Operations: []
Exploring Operation: 20+40=60, Resulting Numbers: [11, 4, 60]
Generated Node #2: [11, 4, 60] from Operation: 20+40=60
Current State: 16:[11, 4, 60], Operations: ['20+40=60']
Exploring Operation: 11*4=44, Resulting Numbers: [60, 44]
Generated Node #3: [60, 44] from Operation: 11*4=44
Current State: 16:[60, 44], Operations: ['20+40=60', '11*4=44']
Exploring Operation: 60-44=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[20, 11, 4, 40], Operations: []
Exploring Operation: 40/20=2, Resulting Numbers: [11, 4, 2]
Generated Node #0,0: 16:[11, 4, 2] Operation: 40/20=2
Moving to Node #0,0
Current State: 16:[11, 4, 2], Operations: ['40/20=2']
Exploring Operation: 11+4=15, Resulting Numbers: [2, 15]
Generated Node #0,0,0: 16:[2, 15] Operation: 11+4=15
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 16:[2, 15], Operations: ['40/20=2', '11+4=15']
Exploring Operation: 2+15=17, Resulting Numbers: [17]
17,16 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 |
[
91,
56,
65,
13
] | 48 | [
"65+13=78",
"56*78=4368",
"4368/91=48"
] | Current State: 48:[91, 56, 65, 13], Operations: []
Exploring Operation: 65+13=78, Resulting Numbers: [91, 56, 78]
Generated Node #2: [91, 56, 78] from Operation: 65+13=78
Current State: 48:[91, 56, 78], Operations: ['65+13=78']
Exploring Operation: 56*78=4368, Resulting Numbers: [91, 4368]
Generated Node #3: [91, 4368] from Operation: 56*78=4368
Current State: 48:[91, 4368], Operations: ['65+13=78', '56*78=4368']
Exploring Operation: 4368/91=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[91, 56, 65, 13], Operations: []
Exploring Operation: 91-65=26, Resulting Numbers: [56, 13, 26]
Generated Node #0,0: 48:[56, 13, 26] Operation: 91-65=26
Exploring Operation: 91-56=35, Resulting Numbers: [65, 13, 35]
Generated Node #0,1: 48:[65, 13, 35] Operation: 91-56=35
Exploring Operation: 65-56=9, Resulting Numbers: [91, 13, 9]
Generated Node #0,2: 48:[91, 13, 9] Operation: 65-56=9
Exploring Operation: 65/13=5, Resulting Numbers: [91, 56, 5]
Generated Node #0,3: 48:[91, 56, 5] Operation: 65/13=5
Exploring Operation: 91/13=7, Resulting Numbers: [56, 65, 7]
Generated Node #0,4: 48:[56, 65, 7] Operation: 91/13=7
Moving to Node #0,0
Current State: 48:[56, 13, 26], Operations: ['91-65=26']
Exploring Operation: 13+26=39, Resulting Numbers: [56, 39]
Generated Node #0,0,0: 48:[56, 39] Operation: 13+26=39
Exploring Operation: 56-26=30, Resulting Numbers: [13, 30]
Generated Node #0,0,1: 48:[13, 30] Operation: 56-26=30
Exploring Operation: 56-13=43, Resulting Numbers: [26, 43]
Generated Node #0,0,2: 48:[26, 43] Operation: 56-13=43
Exploring Operation: 26-13=13, Resulting Numbers: [56, 13]
Generated Node #0,0,3: 48:[56, 13] Operation: 26-13=13
Exploring Operation: 26/13=2, Resulting Numbers: [56, 2]
Generated Node #0,0,4: 48:[56, 2] Operation: 26/13=2
Moving to Node #0,4
Current State: 48:[56, 65, 7], Operations: ['91/13=7']
Exploring Operation: 56-7=49, Resulting Numbers: [65, 49]
Generated Node #0,4,0: 48:[65, 49] Operation: 56-7=49
Exploring Operation: 65-56=9, Resulting Numbers: [7, 9]
Generated Node #0,4,1: 48:[7, 9] Operation: 65-56=9
Exploring Operation: 65-7=58, Resulting Numbers: [56, 58]
Generated Node #0,4,2: 48:[56, 58] Operation: 65-7=58
Exploring Operation: 56/7=8, Resulting Numbers: [65, 8]
Generated Node #0,4,3: 48:[65, 8] Operation: 56/7=8
Exploring Operation: 56+7=63, Resulting Numbers: [65, 63]
Generated Node #0,4,4: 48:[65, 63] Operation: 56+7=63
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 48:[7, 9], Operations: ['91/13=7', '65-56=9']
Exploring Operation: 9-7=2, Resulting Numbers: [2]
2,48 unequal: No Solution
Exploring Operation: 7+9=16, Resulting Numbers: [16]
16,48 unequal: No Solution
Exploring Operation: 7*9=63, Resulting Numbers: [63]
63,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 48:[65, 8], Operations: ['91/13=7', '56/7=8']
Exploring Operation: 65+8=73, Resulting Numbers: [73]
73,48 unequal: No Solution
Exploring Operation: 65-8=57, Resulting Numbers: [57]
57,48 unequal: No Solution
Exploring Operation: 65*8=520, Resulting Numbers: [520]
520,48 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 #0,4,0
Current State: 48:[65, 49], Operations: ['91/13=7', '56-7=49']
Exploring Operation: 65-49=16, Resulting Numbers: [16]
16,48 unequal: No Solution
Exploring Operation: 65+49=114, Resulting Numbers: [114]
114,48 unequal: No Solution
Exploring Operation: 65*49=3185, Resulting Numbers: [3185]
3185,48 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 #0,4,2
Current State: 48:[56, 58], Operations: ['91/13=7', '65-7=58']
Exploring Operation: 58-56=2, Resulting Numbers: [2]
2,48 unequal: No Solution
Exploring Operation: 56*58=3248, Resulting Numbers: [3248]
3248,48 unequal: No Solution
Exploring Operation: 56+58=114, Resulting Numbers: [114]
114,48 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 #0,4,4
Current State: 48:[65, 63], Operations: ['91/13=7', '56+7=63']
Exploring Operation: 65-63=2, Resulting Numbers: [2]
2,48 unequal: No Solution
Exploring Operation: 65*63=4095, Resulting Numbers: [4095]
4095,48 unequal: No Solution
Exploring Operation: 65+63=128, Resulting Numbers: [128]
128,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 48:[65, 13, 35], Operations: ['91-56=35']
Exploring Operation: 65-35=30, Resulting Numbers: [13, 30]
Generated Node #0,1,0: 48:[13, 30] Operation: 65-35=30
Exploring Operation: 13+35=48, Resulting Numbers: [65, 48]
Generated Node #0,1,1: 48:[65, 48] Operation: 13+35=48
Exploring Operation: 65/13=5, Resulting Numbers: [35, 5]
Generated Node #0,1,2: 48:[35, 5] Operation: 65/13=5
Exploring Operation: 35-13=22, Resulting Numbers: [65, 22]
Generated Node #0,1,3: 48:[65, 22] Operation: 35-13=22
Exploring Operation: 65-13=52, Resulting Numbers: [35, 52]
Generated Node #0,1,4: 48:[35, 52] Operation: 65-13=52
Moving to Node #0,2
Current State: 48:[91, 13, 9], Operations: ['65-56=9']
Exploring Operation: 91-13=78, Resulting Numbers: [9, 78]
Generated Node #0,2,0: 48:[9, 78] Operation: 91-13=78
Exploring Operation: 91-9=82, Resulting Numbers: [13, 82]
Generated Node #0,2,1: 48:[13, 82] Operation: 91-9=82
Exploring Operation: 13-9=4, Resulting Numbers: [91, 4]
Generated Node #0,2,2: 48:[91, 4] Operation: 13-9=4
Exploring Operation: 91/13=7, Resulting Numbers: [9, 7]
Generated Node #0,2,3: 48:[9, 7] Operation: 91/13=7
Exploring Operation: 13+9=22, Resulting Numbers: [91, 22]
Generated Node #0,2,4: 48:[91, 22] Operation: 13+9=22
Moving to Node #0,3
Current State: 48:[91, 56, 5], Operations: ['65/13=5']
Exploring Operation: 91+5=96, Resulting Numbers: [56, 96]
Generated Node #0,3,0: 48:[56, 96] Operation: 91+5=96
Exploring Operation: 91-5=86, Resulting Numbers: [56, 86]
Generated Node #0,3,1: 48:[56, 86] Operation: 91-5=86
Exploring Operation: 91-56=35, Resulting Numbers: [5, 35]
Generated Node #0,3,2: 48:[5, 35] Operation: 91-56=35
Exploring Operation: 56-5=51, Resulting Numbers: [91, 51]
Generated Node #0,3,3: 48:[91, 51] Operation: 56-5=51
Exploring Operation: 56+5=61, Resulting Numbers: [91, 61]
Generated Node #0,3,4: 48:[91, 61] Operation: 56+5=61
Moving to Node #0,2,3
Current State: 48:[9, 7], Operations: ['65-56=9', '91/13=7']
Exploring Operation: 9-7=2, Resulting Numbers: [2]
2,48 unequal: No Solution
Exploring Operation: 9+7=16, Resulting Numbers: [16]
16,48 unequal: No Solution
Exploring Operation: 9*7=63, Resulting Numbers: [63]
63,48 unequal: No Solution
Moving to Node #0,1,0
Current State: 48:[13, 30], Operations: ['91-56=35', '65-35=30']
Exploring Operation: 13+30=43, Resulting Numbers: [43]
43,48 unequal: No Solution
Exploring Operation: 13*30=390, Resulting Numbers: [390]
390,48 unequal: No Solution
Exploring Operation: 30-13=17, Resulting Numbers: [17]
17,48 unequal: No Solution
Moving to Node #0,0,1
Current State: 48:[13, 30], Operations: ['91-65=26', '56-26=30']
Exploring Operation: 30-13=17, Resulting Numbers: [17]
17,48 unequal: No Solution
Exploring Operation: 13*30=390, Resulting Numbers: [390]
390,48 unequal: No Solution
Exploring Operation: 13+30=43, Resulting Numbers: [43]
43,48 unequal: No Solution
Moving to Node #0,0,2
Current State: 48:[26, 43], Operations: ['91-65=26', '56-13=43']
Exploring Operation: 26*43=1118, Resulting Numbers: [1118]
1118,48 unequal: No Solution
Exploring Operation: 43-26=17, Resulting Numbers: [17]
17,48 unequal: No Solution
Exploring Operation: 26+43=69, Resulting Numbers: [69]
69,48 unequal: No Solution
Moving to Node #0,0,4
Current State: 48:[56, 2], Operations: ['91-65=26', '26/13=2']
Exploring Operation: 56/2=28, Resulting Numbers: [28]
28,48 unequal: No Solution
Exploring Operation: 56+2=58, Resulting Numbers: [58]
58,48 unequal: No Solution
Exploring Operation: 56*2=112, Resulting Numbers: [112]
112,48 unequal: No Solution
Exploring Operation: 56-2=54, Resulting Numbers: [54]
54,48 unequal: No Solution
Moving to Node #0,0,3
Current State: 48:[56, 13], Operations: ['91-65=26', '26-13=13']
Exploring Operation: 56-13=43, Resulting Numbers: [43]
43,48 unequal: No Solution
Exploring Operation: 56*13=728, Resulting Numbers: [728]
728,48 unequal: No Solution
Exploring Operation: 56+13=69, Resulting Numbers: [69]
69,48 unequal: No Solution
Moving to Node #0,1,2
Current State: 48:[35, 5], Operations: ['91-56=35', '65/13=5']
Exploring Operation: 35+5=40, Resulting Numbers: [40]
40,48 unequal: No Solution
Exploring Operation: 35*5=175, Resulting Numbers: [175]
175,48 unequal: No Solution
Exploring Operation: 35/5=7, Resulting Numbers: [7]
7,48 unequal: No Solution
Exploring Operation: 35-5=30, Resulting Numbers: [30]
30,48 unequal: No Solution
Moving to Node #0,3,2
Current State: 48:[5, 35], Operations: ['65/13=5', '91-56=35']
Exploring Operation: 35-5=30, Resulting Numbers: [30]
30,48 unequal: No Solution
Exploring Operation: 5+35=40, Resulting Numbers: [40]
40,48 unequal: No Solution
Exploring Operation: 5*35=175, Resulting Numbers: [175]
175,48 unequal: No Solution
Exploring Operation: 35/5=7, Resulting Numbers: [7]
7,48 unequal: No Solution
Moving to Node #0,1,4
Current State: 48:[35, 52], Operations: ['91-56=35', '65-13=52']
Exploring Operation: 52-35=17, Resulting Numbers: [17]
17,48 unequal: No Solution
Exploring Operation: 35+52=87, Resulting Numbers: [87]
87,48 unequal: No Solution
Exploring Operation: 35*52=1820, Resulting Numbers: [1820]
1820,48 unequal: No Solution
Moving to Node #0,0,0
Current State: 48:[56, 39], Operations: ['91-65=26', '13+26=39']
Exploring Operation: 56*39=2184, Resulting Numbers: [2184]
2184,48 unequal: No Solution
Exploring Operation: 56-39=17, Resulting Numbers: [17]
17,48 unequal: No Solution
Exploring Operation: 56+39=95, Resulting Numbers: [95]
95,48 unequal: No Solution
Moving to Node #0,1,1
Current State: 48:[65, 48], Operations: ['91-56=35', '13+35=48']
Exploring Operation: 65-48=17, Resulting Numbers: [17]
17,48 unequal: No Solution
Exploring Operation: 65*48=3120, Resulting Numbers: [3120]
3120,48 unequal: No Solution
Exploring Operation: 65+48=113, Resulting Numbers: [113]
113,48 unequal: No Solution
Moving to Node #0,1,3
Current State: 48:[65, 22], Operations: ['91-56=35', '35-13=22']
Exploring Operation: 65*22=1430, Resulting Numbers: [1430]
1430,48 unequal: No Solution
Exploring Operation: 65+22=87, Resulting Numbers: [87]
87,48 unequal: No Solution
Exploring Operation: 65-22=43, Resulting Numbers: [43]
43,48 unequal: No Solution
Moving to Node #0,2,0
Current State: 48:[9, 78], Operations: ['65-56=9', '91-13=78']
Exploring Operation: 78-9=69, Resulting Numbers: [69]
69,48 unequal: No Solution
Exploring Operation: 9+78=87, Resulting Numbers: [87]
87,48 unequal: No Solution
Exploring Operation: 9*78=702, Resulting Numbers: [702]
702,48 unequal: No Solution
Moving to Node #0,2,1
Current State: 48:[13, 82], Operations: ['65-56=9', '91-9=82']
Exploring Operation: 82-13=69, Resulting Numbers: [69]
69,48 unequal: No Solution
Exploring Operation: 13+82=95, Resulting Numbers: [95]
95,48 unequal: No Solution
Exploring Operation: 13*82=1066, Resulting Numbers: [1066]
1066,48 unequal: No Solution
Moving to Node #0,2,2
Current State: 48:[91, 4], Operations: ['65-56=9', '13-9=4']
Exploring Operation: 91+4=95, Resulting Numbers: [95]
95,48 unequal: No Solution
Exploring Operation: 91-4=87, Resulting Numbers: [87]
87,48 unequal: No Solution
Exploring Operation: 91*4=364, Resulting Numbers: [364]
364,48 unequal: No Solution
Moving to Node #0,2,4
Current State: 48:[91, 22], Operations: ['65-56=9', '13+9=22']
Exploring Operation: 91+22=113, Resulting Numbers: [113]
113,48 unequal: No Solution
Exploring Operation: 91*22=2002, Resulting Numbers: [2002]
2002,48 unequal: No Solution
Exploring Operation: 91-22=69, Resulting Numbers: [69]
69,48 unequal: No Solution
Moving to Node #0,3,3
Current State: 48:[91, 51], Operations: ['65/13=5', '56-5=51']
Exploring Operation: 91-51=40, Resulting Numbers: [40]
40,48 unequal: No Solution
Exploring Operation: 91+51=142, Resulting Numbers: [142]
142,48 unequal: No Solution
Exploring Operation: 91*51=4641, Resulting Numbers: [4641]
4641,48 unequal: No Solution
Moving to Node #0,3,1
Current State: 48:[56, 86], Operations: ['65/13=5', '91-5=86']
Exploring Operation: 86-56=30, Resulting Numbers: [30]
30,48 unequal: No Solution
Exploring Operation: 56*86=4816, Resulting Numbers: [4816]
4816,48 unequal: No Solution
Exploring Operation: 56+86=142, Resulting Numbers: [142]
142,48 unequal: No Solution
Moving to Node #0,3,4
Current State: 48:[91, 61], Operations: ['65/13=5', '56+5=61']
Exploring Operation: 91+61=152, Resulting Numbers: [152]
152,48 unequal: No Solution
Exploring Operation: 91-61=30, Resulting Numbers: [30]
30,48 unequal: No Solution
Exploring Operation: 91*61=5551, Resulting Numbers: [5551]
5551,48 unequal: No Solution
Moving to Node #0,3,0
Current State: 48:[56, 96], Operations: ['65/13=5', '91+5=96']
Exploring Operation: 56*96=5376, Resulting Numbers: [5376]
5376,48 unequal: No Solution
Exploring Operation: 96-56=40, Resulting Numbers: [40]
40,48 unequal: No Solution
Exploring Operation: 56+96=152, Resulting Numbers: [152]
152,48 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
86,
98,
11,
9
] | 10 | [
"98-86=12",
"11-9=2",
"12-2=10"
] | Current State: 10:[86, 98, 11, 9], Operations: []
Exploring Operation: 98-86=12, Resulting Numbers: [11, 9, 12]
Generated Node #2: [11, 9, 12] from Operation: 98-86=12
Current State: 10:[11, 9, 12], Operations: ['98-86=12']
Exploring Operation: 11-9=2, Resulting Numbers: [12, 2]
Generated Node #3: [12, 2] from Operation: 11-9=2
Current State: 10:[12, 2], Operations: ['98-86=12', '11-9=2']
Exploring Operation: 12-2=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[86, 98, 11, 9], Operations: []
Exploring Operation: 86-9=77, Resulting Numbers: [98, 11, 77]
Generated Node #0,0: 10:[98, 11, 77] Operation: 86-9=77
Exploring Operation: 86-11=75, Resulting Numbers: [98, 9, 75]
Generated Node #0,1: 10:[98, 9, 75] Operation: 86-11=75
Exploring Operation: 98-11=87, Resulting Numbers: [86, 9, 87]
Generated Node #0,2: 10:[86, 9, 87] Operation: 98-11=87
Exploring Operation: 98-86=12, Resulting Numbers: [11, 9, 12]
Generated Node #0,3: 10:[11, 9, 12] Operation: 98-86=12
Start Sub Search at level 1: Moving to Node #0,3
Current State: 10:[11, 9, 12], Operations: ['98-86=12']
Exploring Operation: 12-9=3, Resulting Numbers: [11, 3]
Generated Node #0,3,0: 10:[11, 3] Operation: 12-9=3
Exploring Operation: 11-9=2, Resulting Numbers: [12, 2]
Generated Node #0,3,1: 10:[12, 2] Operation: 11-9=2
Exploring Operation: 11+9=20, Resulting Numbers: [12, 20]
Generated Node #0,3,2: 10:[12, 20] Operation: 11+9=20
Exploring Operation: 12-11=1, Resulting Numbers: [9, 1]
Generated Node #0,3,3: 10:[9, 1] Operation: 12-11=1
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 10:[11, 3], Operations: ['98-86=12', '12-9=3']
Exploring Operation: 11+3=14, Resulting Numbers: [14]
14,10 unequal: No Solution
Exploring Operation: 11*3=33, Resulting Numbers: [33]
33,10 unequal: No Solution
Exploring Operation: 11-3=8, Resulting Numbers: [8]
8,10 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 10:[12, 2], Operations: ['98-86=12', '11-9=2']
Exploring Operation: 12+2=14, Resulting Numbers: [14]
14,10 unequal: No Solution
Exploring Operation: 12/2=6, Resulting Numbers: [6]
6,10 unequal: No Solution
Exploring Operation: 12-2=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Moving to Node #0
Current State: 10:[86, 98, 11, 9], Operations: []
Exploring Operation: 98-86=12, Resulting Numbers: [11, 9, 12]
Generated Node #0,3: 10:[11, 9, 12] Operation: 98-86=12
Moving to Node #0,3
Current State: 10:[11, 9, 12], Operations: ['98-86=12']
Exploring Operation: 11-9=2, Resulting Numbers: [12, 2]
Generated Node #0,3,1: 10:[12, 2] Operation: 11-9=2
Moving to Node #0,3,1
Current State: 10:[12, 2], Operations: ['98-86=12', '11-9=2']
Exploring Operation: 12-2=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.984375 | hs_4 | mult_heuristic |
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