nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
27,
98,
99,
45
] | 35 | [
"27+99=126",
"98*45=4410",
"4410/126=35"
] | Current State: 35:[27, 98, 99, 45], Operations: []
Exploring Operation: 27+99=126, Resulting Numbers: [98, 45, 126]
Generated Node #2: [98, 45, 126] from Operation: 27+99=126
Current State: 35:[98, 45, 126], Operations: ['27+99=126']
Exploring Operation: 98*45=4410, Resulting Numbers: [126, 4410]
Generated Node #3: [126, 4410] from Operation: 98*45=4410
Current State: 35:[126, 4410], Operations: ['27+99=126', '98*45=4410']
Exploring Operation: 4410/126=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
9,
26,
86,
5
] | 89 | [
"9+26=35",
"5*35=175",
"175-86=89"
] | Current State: 89:[9, 26, 86, 5], Operations: []
Exploring Operation: 9+26=35, Resulting Numbers: [86, 5, 35]
Generated Node #2: [86, 5, 35] from Operation: 9+26=35
Current State: 89:[86, 5, 35], Operations: ['9+26=35']
Exploring Operation: 5*35=175, Resulting Numbers: [86, 175]
Generated Node #3: [86, 175] from Operation: 5*35=175
Current State: 89:[86, 175], Operations: ['9+26=35', '5*35=175']
Exploring Operation: 175-86=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
71,
6,
67,
72
] | 62 | [
"71+6=77",
"67+72=139",
"139-77=62"
] | Current State: 62:[71, 6, 67, 72], Operations: []
Exploring Operation: 71+6=77, Resulting Numbers: [67, 72, 77]
Generated Node #2: [67, 72, 77] from Operation: 71+6=77
Current State: 62:[67, 72, 77], Operations: ['71+6=77']
Exploring Operation: 67+72=139, Resulting Numbers: [77, 139]
Generated Node #3: [77, 139] from Operation: 67+72=139
Current State: 62:[77, 139], Operations: ['71+6=77', '67+72=139']
Exploring Operation: 139-77=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
28,
1,
91,
35
] | 99 | [
"28-1=27",
"91+35=126",
"126-27=99"
] | Current State: 99:[28, 1, 91, 35], Operations: []
Exploring Operation: 28-1=27, Resulting Numbers: [91, 35, 27]
Generated Node #2: [91, 35, 27] from Operation: 28-1=27
Current State: 99:[91, 35, 27], Operations: ['28-1=27']
Exploring Operation: 91+35=126, Resulting Numbers: [27, 126]
Generated Node #3: [27, 126] from Operation: 91+35=126
Current State: 99:[27, 126], Operations: ['28-1=27', '91+35=126']
Exploring Operation: 126-27=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
29,
42,
4,
52
] | 76 | [
"29+42=71",
"71-52=19",
"4*19=76"
] | Current State: 76:[29, 42, 4, 52], Operations: []
Exploring Operation: 29+42=71, Resulting Numbers: [4, 52, 71]
Generated Node #2: [4, 52, 71] from Operation: 29+42=71
Current State: 76:[4, 52, 71], Operations: ['29+42=71']
Exploring Operation: 71-52=19, Resulting Numbers: [4, 19]
Generated Node #3: [4, 19] from Operation: 71-52=19
Current State: 76:[4, 19], Operations: ['29+42=71', '71-52=19']
Exploring Operation: 4*19=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
54,
66,
44,
93
] | 17 | [
"54+66=120",
"44+93=137",
"137-120=17"
] | Current State: 17:[54, 66, 44, 93], Operations: []
Exploring Operation: 54+66=120, Resulting Numbers: [44, 93, 120]
Generated Node #2: [44, 93, 120] from Operation: 54+66=120
Current State: 17:[44, 93, 120], Operations: ['54+66=120']
Exploring Operation: 44+93=137, Resulting Numbers: [120, 137]
Generated Node #3: [120, 137] from Operation: 44+93=137
Current State: 17:[120, 137], Operations: ['54+66=120', '44+93=137']
Exploring Operation: 137-120=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
33,
51,
53,
97
] | 66 | [
"33+51=84",
"53+97=150",
"150-84=66"
] | Current State: 66:[33, 51, 53, 97], Operations: []
Exploring Operation: 33+51=84, Resulting Numbers: [53, 97, 84]
Generated Node #2: [53, 97, 84] from Operation: 33+51=84
Current State: 66:[53, 97, 84], Operations: ['33+51=84']
Exploring Operation: 53+97=150, Resulting Numbers: [84, 150]
Generated Node #3: [84, 150] from Operation: 53+97=150
Current State: 66:[84, 150], Operations: ['33+51=84', '53+97=150']
Exploring Operation: 150-84=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
14,
62,
86,
43
] | 91 | [
"62-14=48",
"86-43=43",
"48+43=91"
] | Current State: 91:[14, 62, 86, 43], Operations: []
Exploring Operation: 62-14=48, Resulting Numbers: [86, 43, 48]
Generated Node #2: [86, 43, 48] from Operation: 62-14=48
Current State: 91:[86, 43, 48], Operations: ['62-14=48']
Exploring Operation: 86-43=43, Resulting Numbers: [48, 43]
Generated Node #3: [48, 43] from Operation: 86-43=43
Current State: 91:[48, 43], Operations: ['62-14=48', '86-43=43']
Exploring Operation: 48+43=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
14,
38,
15,
25
] | 63 | [
"15-14=1",
"38+25=63",
"1*63=63"
] | Current State: 63:[14, 38, 15, 25], Operations: []
Exploring Operation: 15-14=1, Resulting Numbers: [38, 25, 1]
Generated Node #2: [38, 25, 1] from Operation: 15-14=1
Current State: 63:[38, 25, 1], Operations: ['15-14=1']
Exploring Operation: 38+25=63, Resulting Numbers: [1, 63]
Generated Node #3: [1, 63] from Operation: 38+25=63
Current State: 63:[1, 63], Operations: ['15-14=1', '38+25=63']
Exploring Operation: 1*63=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
54,
95,
19,
21
] | 39 | [
"95-54=41",
"21-19=2",
"41-2=39"
] | Current State: 39:[54, 95, 19, 21], Operations: []
Exploring Operation: 95-54=41, Resulting Numbers: [19, 21, 41]
Generated Node #2: [19, 21, 41] from Operation: 95-54=41
Current State: 39:[19, 21, 41], Operations: ['95-54=41']
Exploring Operation: 21-19=2, Resulting Numbers: [41, 2]
Generated Node #3: [41, 2] from Operation: 21-19=2
Current State: 39:[41, 2], Operations: ['95-54=41', '21-19=2']
Exploring Operation: 41-2=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
3,
61,
11,
15
] | 10 | [
"15/3=5",
"61-11=50",
"50/5=10"
] | Current State: 10:[3, 61, 11, 15], Operations: []
Exploring Operation: 15/3=5, Resulting Numbers: [61, 11, 5]
Generated Node #2: [61, 11, 5] from Operation: 15/3=5
Current State: 10:[61, 11, 5], Operations: ['15/3=5']
Exploring Operation: 61-11=50, Resulting Numbers: [5, 50]
Generated Node #3: [5, 50] from Operation: 61-11=50
Current State: 10:[5, 50], Operations: ['15/3=5', '61-11=50']
Exploring Operation: 50/5=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
64,
19,
17,
57
] | 71 | [
"19-17=2",
"64*2=128",
"128-57=71"
] | Current State: 71:[64, 19, 17, 57], Operations: []
Exploring Operation: 19-17=2, Resulting Numbers: [64, 57, 2]
Generated Node #2: [64, 57, 2] from Operation: 19-17=2
Current State: 71:[64, 57, 2], Operations: ['19-17=2']
Exploring Operation: 64*2=128, Resulting Numbers: [57, 128]
Generated Node #3: [57, 128] from Operation: 64*2=128
Current State: 71:[57, 128], Operations: ['19-17=2', '64*2=128']
Exploring Operation: 128-57=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
15,
32,
14,
11
] | 21 | [
"15-14=1",
"32-11=21",
"1*21=21"
] | Current State: 21:[15, 32, 14, 11], Operations: []
Exploring Operation: 15-14=1, Resulting Numbers: [32, 11, 1]
Generated Node #2: [32, 11, 1] from Operation: 15-14=1
Current State: 21:[32, 11, 1], Operations: ['15-14=1']
Exploring Operation: 32-11=21, Resulting Numbers: [1, 21]
Generated Node #3: [1, 21] from Operation: 32-11=21
Current State: 21:[1, 21], Operations: ['15-14=1', '32-11=21']
Exploring Operation: 1*21=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
85,
45,
46,
50
] | 95 | [
"50-46=4",
"45*4=180",
"180-85=95"
] | Current State: 95:[85, 45, 46, 50], Operations: []
Exploring Operation: 50-46=4, Resulting Numbers: [85, 45, 4]
Generated Node #2: [85, 45, 4] from Operation: 50-46=4
Current State: 95:[85, 45, 4], Operations: ['50-46=4']
Exploring Operation: 45*4=180, Resulting Numbers: [85, 180]
Generated Node #3: [85, 180] from Operation: 45*4=180
Current State: 95:[85, 180], Operations: ['50-46=4', '45*4=180']
Exploring Operation: 180-85=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
53,
92,
63,
57
] | 45 | [
"92-53=39",
"63-57=6",
"39+6=45"
] | Current State: 45:[53, 92, 63, 57], Operations: []
Exploring Operation: 92-53=39, Resulting Numbers: [63, 57, 39]
Generated Node #2: [63, 57, 39] from Operation: 92-53=39
Current State: 45:[63, 57, 39], Operations: ['92-53=39']
Exploring Operation: 63-57=6, Resulting Numbers: [39, 6]
Generated Node #3: [39, 6] from Operation: 63-57=6
Current State: 45:[39, 6], Operations: ['92-53=39', '63-57=6']
Exploring Operation: 39+6=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
80,
38,
92,
50
] | 100 | [
"80-38=42",
"92+50=142",
"142-42=100"
] | Current State: 100:[80, 38, 92, 50], Operations: []
Exploring Operation: 80-38=42, Resulting Numbers: [92, 50, 42]
Generated Node #2: [92, 50, 42] from Operation: 80-38=42
Current State: 100:[92, 50, 42], Operations: ['80-38=42']
Exploring Operation: 92+50=142, Resulting Numbers: [42, 142]
Generated Node #3: [42, 142] from Operation: 92+50=142
Current State: 100:[42, 142], Operations: ['80-38=42', '92+50=142']
Exploring Operation: 142-42=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
4,
63,
99,
21
] | 93 | [
"99+21=120",
"120/4=30",
"63+30=93"
] | Current State: 93:[4, 63, 99, 21], Operations: []
Exploring Operation: 99+21=120, Resulting Numbers: [4, 63, 120]
Generated Node #2: [4, 63, 120] from Operation: 99+21=120
Current State: 93:[4, 63, 120], Operations: ['99+21=120']
Exploring Operation: 120/4=30, Resulting Numbers: [63, 30]
Generated Node #3: [63, 30] from Operation: 120/4=30
Current State: 93:[63, 30], Operations: ['99+21=120', '120/4=30']
Exploring Operation: 63+30=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
38,
26,
88,
48
] | 66 | [
"38+26=64",
"88*48=4224",
"4224/64=66"
] | Current State: 66:[38, 26, 88, 48], Operations: []
Exploring Operation: 38+26=64, Resulting Numbers: [88, 48, 64]
Generated Node #2: [88, 48, 64] from Operation: 38+26=64
Current State: 66:[88, 48, 64], Operations: ['38+26=64']
Exploring Operation: 88*48=4224, Resulting Numbers: [64, 4224]
Generated Node #3: [64, 4224] from Operation: 88*48=4224
Current State: 66:[64, 4224], Operations: ['38+26=64', '88*48=4224']
Exploring Operation: 4224/64=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
88,
14,
31,
46
] | 34 | [
"88-46=42",
"42/14=3",
"31+3=34"
] | Current State: 34:[88, 14, 31, 46], Operations: []
Exploring Operation: 88-46=42, Resulting Numbers: [14, 31, 42]
Generated Node #2: [14, 31, 42] from Operation: 88-46=42
Current State: 34:[14, 31, 42], Operations: ['88-46=42']
Exploring Operation: 42/14=3, Resulting Numbers: [31, 3]
Generated Node #3: [31, 3] from Operation: 42/14=3
Current State: 34:[31, 3], Operations: ['88-46=42', '42/14=3']
Exploring Operation: 31+3=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
84,
89,
35,
92
] | 85 | [
"89-84=5",
"35/5=7",
"92-7=85"
] | Current State: 85:[84, 89, 35, 92], Operations: []
Exploring Operation: 89-84=5, Resulting Numbers: [35, 92, 5]
Generated Node #2: [35, 92, 5] from Operation: 89-84=5
Current State: 85:[35, 92, 5], Operations: ['89-84=5']
Exploring Operation: 35/5=7, Resulting Numbers: [92, 7]
Generated Node #3: [92, 7] from Operation: 35/5=7
Current State: 85:[92, 7], Operations: ['89-84=5', '35/5=7']
Exploring Operation: 92-7=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
72,
1,
8,
77
] | 41 | [
"77-72=5",
"8*5=40",
"1+40=41"
] | Current State: 41:[72, 1, 8, 77], Operations: []
Exploring Operation: 77-72=5, Resulting Numbers: [1, 8, 5]
Generated Node #2: [1, 8, 5] from Operation: 77-72=5
Current State: 41:[1, 8, 5], Operations: ['77-72=5']
Exploring Operation: 8*5=40, Resulting Numbers: [1, 40]
Generated Node #3: [1, 40] from Operation: 8*5=40
Current State: 41:[1, 40], Operations: ['77-72=5', '8*5=40']
Exploring Operation: 1+40=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
58,
55,
3,
95
] | 15 | [
"58+55=113",
"3+95=98",
"113-98=15"
] | Current State: 15:[58, 55, 3, 95], Operations: []
Exploring Operation: 58+55=113, Resulting Numbers: [3, 95, 113]
Generated Node #2: [3, 95, 113] from Operation: 58+55=113
Current State: 15:[3, 95, 113], Operations: ['58+55=113']
Exploring Operation: 3+95=98, Resulting Numbers: [113, 98]
Generated Node #3: [113, 98] from Operation: 3+95=98
Current State: 15:[113, 98], Operations: ['58+55=113', '3+95=98']
Exploring Operation: 113-98=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
96,
13,
11,
42
] | 75 | [
"13-11=2",
"42/2=21",
"96-21=75"
] | Current State: 75:[96, 13, 11, 42], Operations: []
Exploring Operation: 13-11=2, Resulting Numbers: [96, 42, 2]
Generated Node #2: [96, 42, 2] from Operation: 13-11=2
Current State: 75:[96, 42, 2], Operations: ['13-11=2']
Exploring Operation: 42/2=21, Resulting Numbers: [96, 21]
Generated Node #3: [96, 21] from Operation: 42/2=21
Current State: 75:[96, 21], Operations: ['13-11=2', '42/2=21']
Exploring Operation: 96-21=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
61,
59,
91,
28
] | 65 | [
"61-59=2",
"91-28=63",
"2+63=65"
] | Current State: 65:[61, 59, 91, 28], Operations: []
Exploring Operation: 61-59=2, Resulting Numbers: [91, 28, 2]
Generated Node #2: [91, 28, 2] from Operation: 61-59=2
Current State: 65:[91, 28, 2], Operations: ['61-59=2']
Exploring Operation: 91-28=63, Resulting Numbers: [2, 63]
Generated Node #3: [2, 63] from Operation: 91-28=63
Current State: 65:[2, 63], Operations: ['61-59=2', '91-28=63']
Exploring Operation: 2+63=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
79,
61,
52,
45
] | 11 | [
"79-61=18",
"52-45=7",
"18-7=11"
] | Current State: 11:[79, 61, 52, 45], Operations: []
Exploring Operation: 79-61=18, Resulting Numbers: [52, 45, 18]
Generated Node #2: [52, 45, 18] from Operation: 79-61=18
Current State: 11:[52, 45, 18], Operations: ['79-61=18']
Exploring Operation: 52-45=7, Resulting Numbers: [18, 7]
Generated Node #3: [18, 7] from Operation: 52-45=7
Current State: 11:[18, 7], Operations: ['79-61=18', '52-45=7']
Exploring Operation: 18-7=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
81,
23,
61,
54
] | 97 | [
"81+23=104",
"61-54=7",
"104-7=97"
] | Current State: 97:[81, 23, 61, 54], Operations: []
Exploring Operation: 81+23=104, Resulting Numbers: [61, 54, 104]
Generated Node #2: [61, 54, 104] from Operation: 81+23=104
Current State: 97:[61, 54, 104], Operations: ['81+23=104']
Exploring Operation: 61-54=7, Resulting Numbers: [104, 7]
Generated Node #3: [104, 7] from Operation: 61-54=7
Current State: 97:[104, 7], Operations: ['81+23=104', '61-54=7']
Exploring Operation: 104-7=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
75,
28,
56,
21
] | 79 | [
"28+56=84",
"84/21=4",
"75+4=79"
] | Current State: 79:[75, 28, 56, 21], Operations: []
Exploring Operation: 28+56=84, Resulting Numbers: [75, 21, 84]
Generated Node #2: [75, 21, 84] from Operation: 28+56=84
Current State: 79:[75, 21, 84], Operations: ['28+56=84']
Exploring Operation: 84/21=4, Resulting Numbers: [75, 4]
Generated Node #3: [75, 4] from Operation: 84/21=4
Current State: 79:[75, 4], Operations: ['28+56=84', '84/21=4']
Exploring Operation: 75+4=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
53,
90,
10,
30
] | 65 | [
"90+30=120",
"120/10=12",
"53+12=65"
] | Current State: 65:[53, 90, 10, 30], Operations: []
Exploring Operation: 90+30=120, Resulting Numbers: [53, 10, 120]
Generated Node #2: [53, 10, 120] from Operation: 90+30=120
Current State: 65:[53, 10, 120], Operations: ['90+30=120']
Exploring Operation: 120/10=12, Resulting Numbers: [53, 12]
Generated Node #3: [53, 12] from Operation: 120/10=12
Current State: 65:[53, 12], Operations: ['90+30=120', '120/10=12']
Exploring Operation: 53+12=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
14,
53,
50,
43
] | 85 | [
"53-50=3",
"14*3=42",
"43+42=85"
] | Current State: 85:[14, 53, 50, 43], Operations: []
Exploring Operation: 53-50=3, Resulting Numbers: [14, 43, 3]
Generated Node #2: [14, 43, 3] from Operation: 53-50=3
Current State: 85:[14, 43, 3], Operations: ['53-50=3']
Exploring Operation: 14*3=42, Resulting Numbers: [43, 42]
Generated Node #3: [43, 42] from Operation: 14*3=42
Current State: 85:[43, 42], Operations: ['53-50=3', '14*3=42']
Exploring Operation: 43+42=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
68,
28,
24,
40
] | 36 | [
"68+28=96",
"96/24=4",
"40-4=36"
] | Current State: 36:[68, 28, 24, 40], Operations: []
Exploring Operation: 68+28=96, Resulting Numbers: [24, 40, 96]
Generated Node #2: [24, 40, 96] from Operation: 68+28=96
Current State: 36:[24, 40, 96], Operations: ['68+28=96']
Exploring Operation: 96/24=4, Resulting Numbers: [40, 4]
Generated Node #3: [40, 4] from Operation: 96/24=4
Current State: 36:[40, 4], Operations: ['68+28=96', '96/24=4']
Exploring Operation: 40-4=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
54,
38,
27,
91
] | 15 | [
"54*38=2052",
"2052/27=76",
"91-76=15"
] | Current State: 15:[54, 38, 27, 91], Operations: []
Exploring Operation: 54*38=2052, Resulting Numbers: [27, 91, 2052]
Generated Node #2: [27, 91, 2052] from Operation: 54*38=2052
Current State: 15:[27, 91, 2052], Operations: ['54*38=2052']
Exploring Operation: 2052/27=76, Resulting Numbers: [91, 76]
Generated Node #3: [91, 76] from Operation: 2052/27=76
Current State: 15:[91, 76], Operations: ['54*38=2052', '2052/27=76']
Exploring Operation: 91-76=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
58,
22,
60,
59
] | 82 | [
"59-58=1",
"22+60=82",
"1*82=82"
] | Current State: 82:[58, 22, 60, 59], Operations: []
Exploring Operation: 59-58=1, Resulting Numbers: [22, 60, 1]
Generated Node #2: [22, 60, 1] from Operation: 59-58=1
Current State: 82:[22, 60, 1], Operations: ['59-58=1']
Exploring Operation: 22+60=82, Resulting Numbers: [1, 82]
Generated Node #3: [1, 82] from Operation: 22+60=82
Current State: 82:[1, 82], Operations: ['59-58=1', '22+60=82']
Exploring Operation: 1*82=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
8,
29,
68,
72
] | 30 | [
"72/8=9",
"68-29=39",
"39-9=30"
] | Current State: 30:[8, 29, 68, 72], Operations: []
Exploring Operation: 72/8=9, Resulting Numbers: [29, 68, 9]
Generated Node #2: [29, 68, 9] from Operation: 72/8=9
Current State: 30:[29, 68, 9], Operations: ['72/8=9']
Exploring Operation: 68-29=39, Resulting Numbers: [9, 39]
Generated Node #3: [9, 39] from Operation: 68-29=39
Current State: 30:[9, 39], Operations: ['72/8=9', '68-29=39']
Exploring Operation: 39-9=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
46,
80,
50,
35
] | 60 | [
"50-46=4",
"35*4=140",
"140-80=60"
] | Current State: 60:[46, 80, 50, 35], Operations: []
Exploring Operation: 50-46=4, Resulting Numbers: [80, 35, 4]
Generated Node #2: [80, 35, 4] from Operation: 50-46=4
Current State: 60:[80, 35, 4], Operations: ['50-46=4']
Exploring Operation: 35*4=140, Resulting Numbers: [80, 140]
Generated Node #3: [80, 140] from Operation: 35*4=140
Current State: 60:[80, 140], Operations: ['50-46=4', '35*4=140']
Exploring Operation: 140-80=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
19,
37,
26,
43
] | 74 | [
"19+26=45",
"45-43=2",
"37*2=74"
] | Current State: 74:[19, 37, 26, 43], Operations: []
Exploring Operation: 19+26=45, Resulting Numbers: [37, 43, 45]
Generated Node #2: [37, 43, 45] from Operation: 19+26=45
Current State: 74:[37, 43, 45], Operations: ['19+26=45']
Exploring Operation: 45-43=2, Resulting Numbers: [37, 2]
Generated Node #3: [37, 2] from Operation: 45-43=2
Current State: 74:[37, 2], Operations: ['19+26=45', '45-43=2']
Exploring Operation: 37*2=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
67,
98,
7,
82
] | 58 | [
"98-67=31",
"7+82=89",
"89-31=58"
] | Current State: 58:[67, 98, 7, 82], Operations: []
Exploring Operation: 98-67=31, Resulting Numbers: [7, 82, 31]
Generated Node #2: [7, 82, 31] from Operation: 98-67=31
Current State: 58:[7, 82, 31], Operations: ['98-67=31']
Exploring Operation: 7+82=89, Resulting Numbers: [31, 89]
Generated Node #3: [31, 89] from Operation: 7+82=89
Current State: 58:[31, 89], Operations: ['98-67=31', '7+82=89']
Exploring Operation: 89-31=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
30,
32,
9,
1
] | 29 | [
"9+1=10",
"30/10=3",
"32-3=29"
] | Current State: 29:[30, 32, 9, 1], Operations: []
Exploring Operation: 9+1=10, Resulting Numbers: [30, 32, 10]
Generated Node #2: [30, 32, 10] from Operation: 9+1=10
Current State: 29:[30, 32, 10], Operations: ['9+1=10']
Exploring Operation: 30/10=3, Resulting Numbers: [32, 3]
Generated Node #3: [32, 3] from Operation: 30/10=3
Current State: 29:[32, 3], Operations: ['9+1=10', '30/10=3']
Exploring Operation: 32-3=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
29,
37,
97,
6
] | 96 | [
"29+97=126",
"37*6=222",
"222-126=96"
] | Current State: 96:[29, 37, 97, 6], Operations: []
Exploring Operation: 29+97=126, Resulting Numbers: [37, 6, 126]
Generated Node #2: [37, 6, 126] from Operation: 29+97=126
Current State: 96:[37, 6, 126], Operations: ['29+97=126']
Exploring Operation: 37*6=222, Resulting Numbers: [126, 222]
Generated Node #3: [126, 222] from Operation: 37*6=222
Current State: 96:[126, 222], Operations: ['29+97=126', '37*6=222']
Exploring Operation: 222-126=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
83,
75,
44,
13
] | 78 | [
"83-44=39",
"39/13=3",
"75+3=78"
] | Current State: 78:[83, 75, 44, 13], Operations: []
Exploring Operation: 83-44=39, Resulting Numbers: [75, 13, 39]
Generated Node #2: [75, 13, 39] from Operation: 83-44=39
Current State: 78:[75, 13, 39], Operations: ['83-44=39']
Exploring Operation: 39/13=3, Resulting Numbers: [75, 3]
Generated Node #3: [75, 3] from Operation: 39/13=3
Current State: 78:[75, 3], Operations: ['83-44=39', '39/13=3']
Exploring Operation: 75+3=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
39,
5,
55,
71
] | 100 | [
"55*71=3905",
"3905-5=3900",
"3900/39=100"
] | Current State: 100:[39, 5, 55, 71], Operations: []
Exploring Operation: 55*71=3905, Resulting Numbers: [39, 5, 3905]
Generated Node #2: [39, 5, 3905] from Operation: 55*71=3905
Current State: 100:[39, 5, 3905], Operations: ['55*71=3905']
Exploring Operation: 3905-5=3900, Resulting Numbers: [39, 3900]
Generated Node #3: [39, 3900] from Operation: 3905-5=3900
Current State: 100:[39, 3900], Operations: ['55*71=3905', '3905-5=3900']
Exploring Operation: 3900/39=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
36,
54,
31,
98
] | 39 | [
"36+54=90",
"31+98=129",
"129-90=39"
] | Current State: 39:[36, 54, 31, 98], Operations: []
Exploring Operation: 36+54=90, Resulting Numbers: [31, 98, 90]
Generated Node #2: [31, 98, 90] from Operation: 36+54=90
Current State: 39:[31, 98, 90], Operations: ['36+54=90']
Exploring Operation: 31+98=129, Resulting Numbers: [90, 129]
Generated Node #3: [90, 129] from Operation: 31+98=129
Current State: 39:[90, 129], Operations: ['36+54=90', '31+98=129']
Exploring Operation: 129-90=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
4,
79,
84,
66
] | 34 | [
"84/4=21",
"79-66=13",
"21+13=34"
] | Current State: 34:[4, 79, 84, 66], Operations: []
Exploring Operation: 84/4=21, Resulting Numbers: [79, 66, 21]
Generated Node #2: [79, 66, 21] from Operation: 84/4=21
Current State: 34:[79, 66, 21], Operations: ['84/4=21']
Exploring Operation: 79-66=13, Resulting Numbers: [21, 13]
Generated Node #3: [21, 13] from Operation: 79-66=13
Current State: 34:[21, 13], Operations: ['84/4=21', '79-66=13']
Exploring Operation: 21+13=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
10,
65,
39,
52
] | 50 | [
"10*65=650",
"52-39=13",
"650/13=50"
] | Current State: 50:[10, 65, 39, 52], Operations: []
Exploring Operation: 10*65=650, Resulting Numbers: [39, 52, 650]
Generated Node #2: [39, 52, 650] from Operation: 10*65=650
Current State: 50:[39, 52, 650], Operations: ['10*65=650']
Exploring Operation: 52-39=13, Resulting Numbers: [650, 13]
Generated Node #3: [650, 13] from Operation: 52-39=13
Current State: 50:[650, 13], Operations: ['10*65=650', '52-39=13']
Exploring Operation: 650/13=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
76,
1,
71,
63
] | 69 | [
"76+1=77",
"71-63=8",
"77-8=69"
] | Current State: 69:[76, 1, 71, 63], Operations: []
Exploring Operation: 76+1=77, Resulting Numbers: [71, 63, 77]
Generated Node #2: [71, 63, 77] from Operation: 76+1=77
Current State: 69:[71, 63, 77], Operations: ['76+1=77']
Exploring Operation: 71-63=8, Resulting Numbers: [77, 8]
Generated Node #3: [77, 8] from Operation: 71-63=8
Current State: 69:[77, 8], Operations: ['76+1=77', '71-63=8']
Exploring Operation: 77-8=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
77,
87,
3,
41
] | 93 | [
"87-77=10",
"41-10=31",
"3*31=93"
] | Current State: 93:[77, 87, 3, 41], Operations: []
Exploring Operation: 87-77=10, Resulting Numbers: [3, 41, 10]
Generated Node #2: [3, 41, 10] from Operation: 87-77=10
Current State: 93:[3, 41, 10], Operations: ['87-77=10']
Exploring Operation: 41-10=31, Resulting Numbers: [3, 31]
Generated Node #3: [3, 31] from Operation: 41-10=31
Current State: 93:[3, 31], Operations: ['87-77=10', '41-10=31']
Exploring Operation: 3*31=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
89,
68,
5,
42
] | 63 | [
"89-68=21",
"5*21=105",
"105-42=63"
] | Current State: 63:[89, 68, 5, 42], Operations: []
Exploring Operation: 89-68=21, Resulting Numbers: [5, 42, 21]
Generated Node #2: [5, 42, 21] from Operation: 89-68=21
Current State: 63:[5, 42, 21], Operations: ['89-68=21']
Exploring Operation: 5*21=105, Resulting Numbers: [42, 105]
Generated Node #3: [42, 105] from Operation: 5*21=105
Current State: 63:[42, 105], Operations: ['89-68=21', '5*21=105']
Exploring Operation: 105-42=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
11,
89,
23,
57
] | 20 | [
"11+89=100",
"23+57=80",
"100-80=20"
] | Current State: 20:[11, 89, 23, 57], Operations: []
Exploring Operation: 11+89=100, Resulting Numbers: [23, 57, 100]
Generated Node #2: [23, 57, 100] from Operation: 11+89=100
Current State: 20:[23, 57, 100], Operations: ['11+89=100']
Exploring Operation: 23+57=80, Resulting Numbers: [100, 80]
Generated Node #3: [100, 80] from Operation: 23+57=80
Current State: 20:[100, 80], Operations: ['11+89=100', '23+57=80']
Exploring Operation: 100-80=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
26,
4,
2,
20
] | 93 | [
"26/2=13",
"4*20=80",
"13+80=93"
] | Current State: 93:[26, 4, 2, 20], Operations: []
Exploring Operation: 26/2=13, Resulting Numbers: [4, 20, 13]
Generated Node #2: [4, 20, 13] from Operation: 26/2=13
Current State: 93:[4, 20, 13], Operations: ['26/2=13']
Exploring Operation: 4*20=80, Resulting Numbers: [13, 80]
Generated Node #3: [13, 80] from Operation: 4*20=80
Current State: 93:[13, 80], Operations: ['26/2=13', '4*20=80']
Exploring Operation: 13+80=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
94,
36,
97,
99
] | 76 | [
"99-97=2",
"36/2=18",
"94-18=76"
] | Current State: 76:[94, 36, 97, 99], Operations: []
Exploring Operation: 99-97=2, Resulting Numbers: [94, 36, 2]
Generated Node #2: [94, 36, 2] from Operation: 99-97=2
Current State: 76:[94, 36, 2], Operations: ['99-97=2']
Exploring Operation: 36/2=18, Resulting Numbers: [94, 18]
Generated Node #3: [94, 18] from Operation: 36/2=18
Current State: 76:[94, 18], Operations: ['99-97=2', '36/2=18']
Exploring Operation: 94-18=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
34,
74,
29,
38
] | 27 | [
"74-34=40",
"29+38=67",
"67-40=27"
] | Current State: 27:[34, 74, 29, 38], Operations: []
Exploring Operation: 74-34=40, Resulting Numbers: [29, 38, 40]
Generated Node #2: [29, 38, 40] from Operation: 74-34=40
Current State: 27:[29, 38, 40], Operations: ['74-34=40']
Exploring Operation: 29+38=67, Resulting Numbers: [40, 67]
Generated Node #3: [40, 67] from Operation: 29+38=67
Current State: 27:[40, 67], Operations: ['74-34=40', '29+38=67']
Exploring Operation: 67-40=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
71,
66,
8,
14
] | 72 | [
"71-66=5",
"14-5=9",
"8*9=72"
] | Current State: 72:[71, 66, 8, 14], Operations: []
Exploring Operation: 71-66=5, Resulting Numbers: [8, 14, 5]
Generated Node #2: [8, 14, 5] from Operation: 71-66=5
Current State: 72:[8, 14, 5], Operations: ['71-66=5']
Exploring Operation: 14-5=9, Resulting Numbers: [8, 9]
Generated Node #3: [8, 9] from Operation: 14-5=9
Current State: 72:[8, 9], Operations: ['71-66=5', '14-5=9']
Exploring Operation: 8*9=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
88,
25,
30,
3
] | 11 | [
"88-25=63",
"63-30=33",
"33/3=11"
] | Current State: 11:[88, 25, 30, 3], Operations: []
Exploring Operation: 88-25=63, Resulting Numbers: [30, 3, 63]
Generated Node #2: [30, 3, 63] from Operation: 88-25=63
Current State: 11:[30, 3, 63], Operations: ['88-25=63']
Exploring Operation: 63-30=33, Resulting Numbers: [3, 33]
Generated Node #3: [3, 33] from Operation: 63-30=33
Current State: 11:[3, 33], Operations: ['88-25=63', '63-30=33']
Exploring Operation: 33/3=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
11,
3,
43,
8
] | 94 | [
"43-8=35",
"3*35=105",
"105-11=94"
] | Current State: 94:[11, 3, 43, 8], Operations: []
Exploring Operation: 43-8=35, Resulting Numbers: [11, 3, 35]
Generated Node #2: [11, 3, 35] from Operation: 43-8=35
Current State: 94:[11, 3, 35], Operations: ['43-8=35']
Exploring Operation: 3*35=105, Resulting Numbers: [11, 105]
Generated Node #3: [11, 105] from Operation: 3*35=105
Current State: 94:[11, 105], Operations: ['43-8=35', '3*35=105']
Exploring Operation: 105-11=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
71,
34,
67,
7
] | 62 | [
"71-67=4",
"7*4=28",
"34+28=62"
] | Current State: 62:[71, 34, 67, 7], Operations: []
Exploring Operation: 71-67=4, Resulting Numbers: [34, 7, 4]
Generated Node #2: [34, 7, 4] from Operation: 71-67=4
Current State: 62:[34, 7, 4], Operations: ['71-67=4']
Exploring Operation: 7*4=28, Resulting Numbers: [34, 28]
Generated Node #3: [34, 28] from Operation: 7*4=28
Current State: 62:[34, 28], Operations: ['71-67=4', '7*4=28']
Exploring Operation: 34+28=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
11,
87,
20,
59
] | 88 | [
"87-20=67",
"67-59=8",
"11*8=88"
] | Current State: 88:[11, 87, 20, 59], Operations: []
Exploring Operation: 87-20=67, Resulting Numbers: [11, 59, 67]
Generated Node #2: [11, 59, 67] from Operation: 87-20=67
Current State: 88:[11, 59, 67], Operations: ['87-20=67']
Exploring Operation: 67-59=8, Resulting Numbers: [11, 8]
Generated Node #3: [11, 8] from Operation: 67-59=8
Current State: 88:[11, 8], Operations: ['87-20=67', '67-59=8']
Exploring Operation: 11*8=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
74,
52,
67,
20
] | 65 | [
"74-52=22",
"67+20=87",
"87-22=65"
] | Current State: 65:[74, 52, 67, 20], Operations: []
Exploring Operation: 74-52=22, Resulting Numbers: [67, 20, 22]
Generated Node #2: [67, 20, 22] from Operation: 74-52=22
Current State: 65:[67, 20, 22], Operations: ['74-52=22']
Exploring Operation: 67+20=87, Resulting Numbers: [22, 87]
Generated Node #3: [22, 87] from Operation: 67+20=87
Current State: 65:[22, 87], Operations: ['74-52=22', '67+20=87']
Exploring Operation: 87-22=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
72,
36,
25,
91
] | 33 | [
"72/36=2",
"91-25=66",
"66/2=33"
] | Current State: 33:[72, 36, 25, 91], Operations: []
Exploring Operation: 72/36=2, Resulting Numbers: [25, 91, 2]
Generated Node #2: [25, 91, 2] from Operation: 72/36=2
Current State: 33:[25, 91, 2], Operations: ['72/36=2']
Exploring Operation: 91-25=66, Resulting Numbers: [2, 66]
Generated Node #3: [2, 66] from Operation: 91-25=66
Current State: 33:[2, 66], Operations: ['72/36=2', '91-25=66']
Exploring Operation: 66/2=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
74,
4,
8,
84
] | 45 | [
"74-8=66",
"84/4=21",
"66-21=45"
] | Current State: 45:[74, 4, 8, 84], Operations: []
Exploring Operation: 74-8=66, Resulting Numbers: [4, 84, 66]
Generated Node #2: [4, 84, 66] from Operation: 74-8=66
Current State: 45:[4, 84, 66], Operations: ['74-8=66']
Exploring Operation: 84/4=21, Resulting Numbers: [66, 21]
Generated Node #3: [66, 21] from Operation: 84/4=21
Current State: 45:[66, 21], Operations: ['74-8=66', '84/4=21']
Exploring Operation: 66-21=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
88,
78,
86,
48
] | 15 | [
"88-86=2",
"78-48=30",
"30/2=15"
] | Current State: 15:[88, 78, 86, 48], Operations: []
Exploring Operation: 88-86=2, Resulting Numbers: [78, 48, 2]
Generated Node #2: [78, 48, 2] from Operation: 88-86=2
Current State: 15:[78, 48, 2], Operations: ['88-86=2']
Exploring Operation: 78-48=30, Resulting Numbers: [2, 30]
Generated Node #3: [2, 30] from Operation: 78-48=30
Current State: 15:[2, 30], Operations: ['88-86=2', '78-48=30']
Exploring Operation: 30/2=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
78,
89,
44,
74
] | 49 | [
"78+89=167",
"44+74=118",
"167-118=49"
] | Current State: 49:[78, 89, 44, 74], Operations: []
Exploring Operation: 78+89=167, Resulting Numbers: [44, 74, 167]
Generated Node #2: [44, 74, 167] from Operation: 78+89=167
Current State: 49:[44, 74, 167], Operations: ['78+89=167']
Exploring Operation: 44+74=118, Resulting Numbers: [167, 118]
Generated Node #3: [167, 118] from Operation: 44+74=118
Current State: 49:[167, 118], Operations: ['78+89=167', '44+74=118']
Exploring Operation: 167-118=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
79,
1,
39,
31
] | 29 | [
"79-1=78",
"78/39=2",
"31-2=29"
] | Current State: 29:[79, 1, 39, 31], Operations: []
Exploring Operation: 79-1=78, Resulting Numbers: [39, 31, 78]
Generated Node #2: [39, 31, 78] from Operation: 79-1=78
Current State: 29:[39, 31, 78], Operations: ['79-1=78']
Exploring Operation: 78/39=2, Resulting Numbers: [31, 2]
Generated Node #3: [31, 2] from Operation: 78/39=2
Current State: 29:[31, 2], Operations: ['79-1=78', '78/39=2']
Exploring Operation: 31-2=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
47,
84,
22,
86
] | 23 | [
"47+84=131",
"22+86=108",
"131-108=23"
] | Current State: 23:[47, 84, 22, 86], Operations: []
Exploring Operation: 47+84=131, Resulting Numbers: [22, 86, 131]
Generated Node #2: [22, 86, 131] from Operation: 47+84=131
Current State: 23:[22, 86, 131], Operations: ['47+84=131']
Exploring Operation: 22+86=108, Resulting Numbers: [131, 108]
Generated Node #3: [131, 108] from Operation: 22+86=108
Current State: 23:[131, 108], Operations: ['47+84=131', '22+86=108']
Exploring Operation: 131-108=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
84,
17,
6,
30
] | 61 | [
"84/6=14",
"17+30=47",
"14+47=61"
] | Current State: 61:[84, 17, 6, 30], Operations: []
Exploring Operation: 84/6=14, Resulting Numbers: [17, 30, 14]
Generated Node #2: [17, 30, 14] from Operation: 84/6=14
Current State: 61:[17, 30, 14], Operations: ['84/6=14']
Exploring Operation: 17+30=47, Resulting Numbers: [14, 47]
Generated Node #3: [14, 47] from Operation: 17+30=47
Current State: 61:[14, 47], Operations: ['84/6=14', '17+30=47']
Exploring Operation: 14+47=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
21,
26,
20,
39
] | 61 | [
"26-21=5",
"20*5=100",
"100-39=61"
] | Current State: 61:[21, 26, 20, 39], Operations: []
Exploring Operation: 26-21=5, Resulting Numbers: [20, 39, 5]
Generated Node #2: [20, 39, 5] from Operation: 26-21=5
Current State: 61:[20, 39, 5], Operations: ['26-21=5']
Exploring Operation: 20*5=100, Resulting Numbers: [39, 100]
Generated Node #3: [39, 100] from Operation: 20*5=100
Current State: 61:[39, 100], Operations: ['26-21=5', '20*5=100']
Exploring Operation: 100-39=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
20,
58,
90,
97
] | 35 | [
"20*97=1940",
"90+1940=2030",
"2030/58=35"
] | Current State: 35:[20, 58, 90, 97], Operations: []
Exploring Operation: 20*97=1940, Resulting Numbers: [58, 90, 1940]
Generated Node #2: [58, 90, 1940] from Operation: 20*97=1940
Current State: 35:[58, 90, 1940], Operations: ['20*97=1940']
Exploring Operation: 90+1940=2030, Resulting Numbers: [58, 2030]
Generated Node #3: [58, 2030] from Operation: 90+1940=2030
Current State: 35:[58, 2030], Operations: ['20*97=1940', '90+1940=2030']
Exploring Operation: 2030/58=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
32,
93,
55,
84
] | 32 | [
"93-32=61",
"84-55=29",
"61-29=32"
] | Current State: 32:[32, 93, 55, 84], Operations: []
Exploring Operation: 93-32=61, Resulting Numbers: [55, 84, 61]
Generated Node #2: [55, 84, 61] from Operation: 93-32=61
Current State: 32:[55, 84, 61], Operations: ['93-32=61']
Exploring Operation: 84-55=29, Resulting Numbers: [61, 29]
Generated Node #3: [61, 29] from Operation: 84-55=29
Current State: 32:[61, 29], Operations: ['93-32=61', '84-55=29']
Exploring Operation: 61-29=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
34,
2,
72,
2
] | 89 | [
"2*72=144",
"34+144=178",
"178/2=89"
] | Current State: 89:[34, 2, 72, 2], Operations: []
Exploring Operation: 2*72=144, Resulting Numbers: [34, 144]
Generated Node #2: [34, 144] from Operation: 2*72=144
Current State: 89:[34, 144], Operations: ['2*72=144']
Exploring Operation: 34+144=178, Resulting Numbers: [178]
178,89 equal: Goal Reached
Exploring Operation: 178/2=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
3,
31,
3,
65
] | 34 | [
"3+31=34",
"3+65=68",
"68-34=34"
] | Current State: 34:[3, 31, 3, 65], Operations: []
Exploring Operation: 3+31=34, Resulting Numbers: [65, 34]
Generated Node #2: [65, 34] from Operation: 3+31=34
Current State: 34:[65, 34], Operations: ['3+31=34']
Exploring Operation: 3+65=68, Resulting Numbers: [34, 68]
Generated Node #3: [34, 68] from Operation: 3+65=68
Current State: 34:[34, 68], Operations: ['3+31=34', '3+65=68']
Exploring Operation: 68-34=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
41,
21,
74,
1
] | 55 | [
"41-21=20",
"74+1=75",
"75-20=55"
] | Current State: 55:[41, 21, 74, 1], Operations: []
Exploring Operation: 41-21=20, Resulting Numbers: [74, 1, 20]
Generated Node #2: [74, 1, 20] from Operation: 41-21=20
Current State: 55:[74, 1, 20], Operations: ['41-21=20']
Exploring Operation: 74+1=75, Resulting Numbers: [20, 75]
Generated Node #3: [20, 75] from Operation: 74+1=75
Current State: 55:[20, 75], Operations: ['41-21=20', '74+1=75']
Exploring Operation: 75-20=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
2,
28,
36,
48
] | 80 | [
"28+36=64",
"2*64=128",
"128-48=80"
] | Current State: 80:[2, 28, 36, 48], Operations: []
Exploring Operation: 28+36=64, Resulting Numbers: [2, 48, 64]
Generated Node #2: [2, 48, 64] from Operation: 28+36=64
Current State: 80:[2, 48, 64], Operations: ['28+36=64']
Exploring Operation: 2*64=128, Resulting Numbers: [48, 128]
Generated Node #3: [48, 128] from Operation: 2*64=128
Current State: 80:[48, 128], Operations: ['28+36=64', '2*64=128']
Exploring Operation: 128-48=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
49,
35,
42,
32
] | 29 | [
"49-35=14",
"42/14=3",
"32-3=29"
] | Current State: 29:[49, 35, 42, 32], Operations: []
Exploring Operation: 49-35=14, Resulting Numbers: [42, 32, 14]
Generated Node #2: [42, 32, 14] from Operation: 49-35=14
Current State: 29:[42, 32, 14], Operations: ['49-35=14']
Exploring Operation: 42/14=3, Resulting Numbers: [32, 3]
Generated Node #3: [32, 3] from Operation: 42/14=3
Current State: 29:[32, 3], Operations: ['49-35=14', '42/14=3']
Exploring Operation: 32-3=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
32,
5,
9,
22
] | 33 | [
"22-9=13",
"5*13=65",
"65-32=33"
] | Current State: 33:[32, 5, 9, 22], Operations: []
Exploring Operation: 22-9=13, Resulting Numbers: [32, 5, 13]
Generated Node #2: [32, 5, 13] from Operation: 22-9=13
Current State: 33:[32, 5, 13], Operations: ['22-9=13']
Exploring Operation: 5*13=65, Resulting Numbers: [32, 65]
Generated Node #3: [32, 65] from Operation: 5*13=65
Current State: 33:[32, 65], Operations: ['22-9=13', '5*13=65']
Exploring Operation: 65-32=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
67,
8,
26,
13
] | 73 | [
"67+8=75",
"26/13=2",
"75-2=73"
] | Current State: 73:[67, 8, 26, 13], Operations: []
Exploring Operation: 67+8=75, Resulting Numbers: [26, 13, 75]
Generated Node #2: [26, 13, 75] from Operation: 67+8=75
Current State: 73:[26, 13, 75], Operations: ['67+8=75']
Exploring Operation: 26/13=2, Resulting Numbers: [75, 2]
Generated Node #3: [75, 2] from Operation: 26/13=2
Current State: 73:[75, 2], Operations: ['67+8=75', '26/13=2']
Exploring Operation: 75-2=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
4,
9,
87,
72
] | 42 | [
"9+87=96",
"72+96=168",
"168/4=42"
] | Current State: 42:[4, 9, 87, 72], Operations: []
Exploring Operation: 9+87=96, Resulting Numbers: [4, 72, 96]
Generated Node #2: [4, 72, 96] from Operation: 9+87=96
Current State: 42:[4, 72, 96], Operations: ['9+87=96']
Exploring Operation: 72+96=168, Resulting Numbers: [4, 168]
Generated Node #3: [4, 168] from Operation: 72+96=168
Current State: 42:[4, 168], Operations: ['9+87=96', '72+96=168']
Exploring Operation: 168/4=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
19,
91,
55,
18
] | 59 | [
"91-19=72",
"72/18=4",
"55+4=59"
] | Current State: 59:[19, 91, 55, 18], Operations: []
Exploring Operation: 91-19=72, Resulting Numbers: [55, 18, 72]
Generated Node #2: [55, 18, 72] from Operation: 91-19=72
Current State: 59:[55, 18, 72], Operations: ['91-19=72']
Exploring Operation: 72/18=4, Resulting Numbers: [55, 4]
Generated Node #3: [55, 4] from Operation: 72/18=4
Current State: 59:[55, 4], Operations: ['91-19=72', '72/18=4']
Exploring Operation: 55+4=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
60,
50,
34,
44
] | 24 | [
"50-44=6",
"60/6=10",
"34-10=24"
] | Current State: 24:[60, 50, 34, 44], Operations: []
Exploring Operation: 50-44=6, Resulting Numbers: [60, 34, 6]
Generated Node #2: [60, 34, 6] from Operation: 50-44=6
Current State: 24:[60, 34, 6], Operations: ['50-44=6']
Exploring Operation: 60/6=10, Resulting Numbers: [34, 10]
Generated Node #3: [34, 10] from Operation: 60/6=10
Current State: 24:[34, 10], Operations: ['50-44=6', '60/6=10']
Exploring Operation: 34-10=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
21,
72,
13,
5
] | 70 | [
"21+5=26",
"26/13=2",
"72-2=70"
] | Current State: 70:[21, 72, 13, 5], Operations: []
Exploring Operation: 21+5=26, Resulting Numbers: [72, 13, 26]
Generated Node #2: [72, 13, 26] from Operation: 21+5=26
Current State: 70:[72, 13, 26], Operations: ['21+5=26']
Exploring Operation: 26/13=2, Resulting Numbers: [72, 2]
Generated Node #3: [72, 2] from Operation: 26/13=2
Current State: 70:[72, 2], Operations: ['21+5=26', '26/13=2']
Exploring Operation: 72-2=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
96,
59,
66,
2
] | 74 | [
"96-66=30",
"30/2=15",
"59+15=74"
] | Current State: 74:[96, 59, 66, 2], Operations: []
Exploring Operation: 96-66=30, Resulting Numbers: [59, 2, 30]
Generated Node #2: [59, 2, 30] from Operation: 96-66=30
Current State: 74:[59, 2, 30], Operations: ['96-66=30']
Exploring Operation: 30/2=15, Resulting Numbers: [59, 15]
Generated Node #3: [59, 15] from Operation: 30/2=15
Current State: 74:[59, 15], Operations: ['96-66=30', '30/2=15']
Exploring Operation: 59+15=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
92,
73,
35,
81
] | 65 | [
"92-73=19",
"81-35=46",
"19+46=65"
] | Current State: 65:[92, 73, 35, 81], Operations: []
Exploring Operation: 92-73=19, Resulting Numbers: [35, 81, 19]
Generated Node #2: [35, 81, 19] from Operation: 92-73=19
Current State: 65:[35, 81, 19], Operations: ['92-73=19']
Exploring Operation: 81-35=46, Resulting Numbers: [19, 46]
Generated Node #3: [19, 46] from Operation: 81-35=46
Current State: 65:[19, 46], Operations: ['92-73=19', '81-35=46']
Exploring Operation: 19+46=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
8,
42,
26,
2
] | 22 | [
"8+42=50",
"26+2=28",
"50-28=22"
] | Current State: 22:[8, 42, 26, 2], Operations: []
Exploring Operation: 8+42=50, Resulting Numbers: [26, 2, 50]
Generated Node #2: [26, 2, 50] from Operation: 8+42=50
Current State: 22:[26, 2, 50], Operations: ['8+42=50']
Exploring Operation: 26+2=28, Resulting Numbers: [50, 28]
Generated Node #3: [50, 28] from Operation: 26+2=28
Current State: 22:[50, 28], Operations: ['8+42=50', '26+2=28']
Exploring Operation: 50-28=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
83,
17,
87,
51
] | 13 | [
"83+87=170",
"51+170=221",
"221/17=13"
] | Current State: 13:[83, 17, 87, 51], Operations: []
Exploring Operation: 83+87=170, Resulting Numbers: [17, 51, 170]
Generated Node #2: [17, 51, 170] from Operation: 83+87=170
Current State: 13:[17, 51, 170], Operations: ['83+87=170']
Exploring Operation: 51+170=221, Resulting Numbers: [17, 221]
Generated Node #3: [17, 221] from Operation: 51+170=221
Current State: 13:[17, 221], Operations: ['83+87=170', '51+170=221']
Exploring Operation: 221/17=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
9,
55,
91,
23
] | 50 | [
"9+55=64",
"91+23=114",
"114-64=50"
] | Current State: 50:[9, 55, 91, 23], Operations: []
Exploring Operation: 9+55=64, Resulting Numbers: [91, 23, 64]
Generated Node #2: [91, 23, 64] from Operation: 9+55=64
Current State: 50:[91, 23, 64], Operations: ['9+55=64']
Exploring Operation: 91+23=114, Resulting Numbers: [64, 114]
Generated Node #3: [64, 114] from Operation: 91+23=114
Current State: 50:[64, 114], Operations: ['9+55=64', '91+23=114']
Exploring Operation: 114-64=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
3,
62,
66,
28
] | 44 | [
"3*28=84",
"62+66=128",
"128-84=44"
] | Current State: 44:[3, 62, 66, 28], Operations: []
Exploring Operation: 3*28=84, Resulting Numbers: [62, 66, 84]
Generated Node #2: [62, 66, 84] from Operation: 3*28=84
Current State: 44:[62, 66, 84], Operations: ['3*28=84']
Exploring Operation: 62+66=128, Resulting Numbers: [84, 128]
Generated Node #3: [84, 128] from Operation: 62+66=128
Current State: 44:[84, 128], Operations: ['3*28=84', '62+66=128']
Exploring Operation: 128-84=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
4,
45,
30,
21
] | 56 | [
"4*30=120",
"21*120=2520",
"2520/45=56"
] | Current State: 56:[4, 45, 30, 21], Operations: []
Exploring Operation: 4*30=120, Resulting Numbers: [45, 21, 120]
Generated Node #2: [45, 21, 120] from Operation: 4*30=120
Current State: 56:[45, 21, 120], Operations: ['4*30=120']
Exploring Operation: 21*120=2520, Resulting Numbers: [45, 2520]
Generated Node #3: [45, 2520] from Operation: 21*120=2520
Current State: 56:[45, 2520], Operations: ['4*30=120', '21*120=2520']
Exploring Operation: 2520/45=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
18,
42,
10,
45
] | 84 | [
"18+10=28",
"45-42=3",
"28*3=84"
] | Current State: 84:[18, 42, 10, 45], Operations: []
Exploring Operation: 18+10=28, Resulting Numbers: [42, 45, 28]
Generated Node #2: [42, 45, 28] from Operation: 18+10=28
Current State: 84:[42, 45, 28], Operations: ['18+10=28']
Exploring Operation: 45-42=3, Resulting Numbers: [28, 3]
Generated Node #3: [28, 3] from Operation: 45-42=3
Current State: 84:[28, 3], Operations: ['18+10=28', '45-42=3']
Exploring Operation: 28*3=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
63,
47,
63,
92
] | 45 | [
"63+47=110",
"63+92=155",
"155-110=45"
] | Current State: 45:[63, 47, 63, 92], Operations: []
Exploring Operation: 63+47=110, Resulting Numbers: [92, 110]
Generated Node #2: [92, 110] from Operation: 63+47=110
Current State: 45:[92, 110], Operations: ['63+47=110']
Exploring Operation: 63+92=155, Resulting Numbers: [110, 155]
Generated Node #3: [110, 155] from Operation: 63+92=155
Current State: 45:[110, 155], Operations: ['63+47=110', '63+92=155']
Exploring Operation: 155-110=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
40,
90,
36,
37
] | 63 | [
"40*90=3600",
"3600/36=100",
"100-37=63"
] | Current State: 63:[40, 90, 36, 37], Operations: []
Exploring Operation: 40*90=3600, Resulting Numbers: [36, 37, 3600]
Generated Node #2: [36, 37, 3600] from Operation: 40*90=3600
Current State: 63:[36, 37, 3600], Operations: ['40*90=3600']
Exploring Operation: 3600/36=100, Resulting Numbers: [37, 100]
Generated Node #3: [37, 100] from Operation: 3600/36=100
Current State: 63:[37, 100], Operations: ['40*90=3600', '3600/36=100']
Exploring Operation: 100-37=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
26,
54,
87,
32
] | 69 | [
"26*87=2262",
"2262-54=2208",
"2208/32=69"
] | Current State: 69:[26, 54, 87, 32], Operations: []
Exploring Operation: 26*87=2262, Resulting Numbers: [54, 32, 2262]
Generated Node #2: [54, 32, 2262] from Operation: 26*87=2262
Current State: 69:[54, 32, 2262], Operations: ['26*87=2262']
Exploring Operation: 2262-54=2208, Resulting Numbers: [32, 2208]
Generated Node #3: [32, 2208] from Operation: 2262-54=2208
Current State: 69:[32, 2208], Operations: ['26*87=2262', '2262-54=2208']
Exploring Operation: 2208/32=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
32,
78,
58,
4
] | 56 | [
"32+78=110",
"58-4=54",
"110-54=56"
] | Current State: 56:[32, 78, 58, 4], Operations: []
Exploring Operation: 32+78=110, Resulting Numbers: [58, 4, 110]
Generated Node #2: [58, 4, 110] from Operation: 32+78=110
Current State: 56:[58, 4, 110], Operations: ['32+78=110']
Exploring Operation: 58-4=54, Resulting Numbers: [110, 54]
Generated Node #3: [110, 54] from Operation: 58-4=54
Current State: 56:[110, 54], Operations: ['32+78=110', '58-4=54']
Exploring Operation: 110-54=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
21,
47,
6,
67
] | 89 | [
"47-21=26",
"6*26=156",
"156-67=89"
] | Current State: 89:[21, 47, 6, 67], Operations: []
Exploring Operation: 47-21=26, Resulting Numbers: [6, 67, 26]
Generated Node #2: [6, 67, 26] from Operation: 47-21=26
Current State: 89:[6, 67, 26], Operations: ['47-21=26']
Exploring Operation: 6*26=156, Resulting Numbers: [67, 156]
Generated Node #3: [67, 156] from Operation: 6*26=156
Current State: 89:[67, 156], Operations: ['47-21=26', '6*26=156']
Exploring Operation: 156-67=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
34,
91,
84,
6
] | 29 | [
"34*6=204",
"91+84=175",
"204-175=29"
] | Current State: 29:[34, 91, 84, 6], Operations: []
Exploring Operation: 34*6=204, Resulting Numbers: [91, 84, 204]
Generated Node #2: [91, 84, 204] from Operation: 34*6=204
Current State: 29:[91, 84, 204], Operations: ['34*6=204']
Exploring Operation: 91+84=175, Resulting Numbers: [204, 175]
Generated Node #3: [204, 175] from Operation: 91+84=175
Current State: 29:[204, 175], Operations: ['34*6=204', '91+84=175']
Exploring Operation: 204-175=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
28,
43,
15,
94
] | 94 | [
"43-28=15",
"15+94=109",
"109-15=94"
] | Current State: 94:[28, 43, 15, 94], Operations: []
Exploring Operation: 43-28=15, Resulting Numbers: [15, 94, 15]
Generated Node #2: [15, 94, 15] from Operation: 43-28=15
Current State: 94:[15, 94, 15], Operations: ['43-28=15']
Exploring Operation: 15+94=109, Resulting Numbers: [109]
109,94 equal: Goal Reached
Exploring Operation: 109-15=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
56,
4,
45,
26
] | 41 | [
"56+4=60",
"45-26=19",
"60-19=41"
] | Current State: 41:[56, 4, 45, 26], Operations: []
Exploring Operation: 56+4=60, Resulting Numbers: [45, 26, 60]
Generated Node #2: [45, 26, 60] from Operation: 56+4=60
Current State: 41:[45, 26, 60], Operations: ['56+4=60']
Exploring Operation: 45-26=19, Resulting Numbers: [60, 19]
Generated Node #3: [60, 19] from Operation: 45-26=19
Current State: 41:[60, 19], Operations: ['56+4=60', '45-26=19']
Exploring Operation: 60-19=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
20,
31,
4,
6
] | 34 | [
"20+31=51",
"4*51=204",
"204/6=34"
] | Current State: 34:[20, 31, 4, 6], Operations: []
Exploring Operation: 20+31=51, Resulting Numbers: [4, 6, 51]
Generated Node #2: [4, 6, 51] from Operation: 20+31=51
Current State: 34:[4, 6, 51], Operations: ['20+31=51']
Exploring Operation: 4*51=204, Resulting Numbers: [6, 204]
Generated Node #3: [6, 204] from Operation: 4*51=204
Current State: 34:[6, 204], Operations: ['20+31=51', '4*51=204']
Exploring Operation: 204/6=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
12,
85,
76,
4
] | 48 | [
"85-76=9",
"4*9=36",
"12+36=48"
] | Current State: 48:[12, 85, 76, 4], Operations: []
Exploring Operation: 85-76=9, Resulting Numbers: [12, 4, 9]
Generated Node #2: [12, 4, 9] from Operation: 85-76=9
Current State: 48:[12, 4, 9], Operations: ['85-76=9']
Exploring Operation: 4*9=36, Resulting Numbers: [12, 36]
Generated Node #3: [12, 36] from Operation: 4*9=36
Current State: 48:[12, 36], Operations: ['85-76=9', '4*9=36']
Exploring Operation: 12+36=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
26,
3,
41,
60
] | 97 | [
"26*3=78",
"60-41=19",
"78+19=97"
] | Current State: 97:[26, 3, 41, 60], Operations: []
Exploring Operation: 26*3=78, Resulting Numbers: [41, 60, 78]
Generated Node #2: [41, 60, 78] from Operation: 26*3=78
Current State: 97:[41, 60, 78], Operations: ['26*3=78']
Exploring Operation: 60-41=19, Resulting Numbers: [78, 19]
Generated Node #3: [78, 19] from Operation: 60-41=19
Current State: 97:[78, 19], Operations: ['26*3=78', '60-41=19']
Exploring Operation: 78+19=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
6,
10,
2,
19
] | 99 | [
"6+2=8",
"10*8=80",
"19+80=99"
] | Current State: 99:[6, 10, 2, 19], Operations: []
Exploring Operation: 6+2=8, Resulting Numbers: [10, 19, 8]
Generated Node #2: [10, 19, 8] from Operation: 6+2=8
Current State: 99:[10, 19, 8], Operations: ['6+2=8']
Exploring Operation: 10*8=80, Resulting Numbers: [19, 80]
Generated Node #3: [19, 80] from Operation: 10*8=80
Current State: 99:[19, 80], Operations: ['6+2=8', '10*8=80']
Exploring Operation: 19+80=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
48,
33,
49,
86
] | 83 | [
"49-33=16",
"48/16=3",
"86-3=83"
] | Current State: 83:[48, 33, 49, 86], Operations: []
Exploring Operation: 49-33=16, Resulting Numbers: [48, 86, 16]
Generated Node #2: [48, 86, 16] from Operation: 49-33=16
Current State: 83:[48, 86, 16], Operations: ['49-33=16']
Exploring Operation: 48/16=3, Resulting Numbers: [86, 3]
Generated Node #3: [86, 3] from Operation: 48/16=3
Current State: 83:[86, 3], Operations: ['49-33=16', '48/16=3']
Exploring Operation: 86-3=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
9,
54,
80,
77
] | 27 | [
"80-77=3",
"9*3=27",
"54-27=27"
] | Current State: 27:[9, 54, 80, 77], Operations: []
Exploring Operation: 80-77=3, Resulting Numbers: [9, 54, 3]
Generated Node #2: [9, 54, 3] from Operation: 80-77=3
Current State: 27:[9, 54, 3], Operations: ['80-77=3']
Exploring Operation: 9*3=27, Resulting Numbers: [54, 27]
Generated Node #3: [54, 27] from Operation: 9*3=27
Current State: 27:[54, 27], Operations: ['80-77=3', '9*3=27']
Exploring Operation: 54-27=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
41,
96,
39,
93
] | 77 | [
"96-41=55",
"39+93=132",
"132-55=77"
] | Current State: 77:[41, 96, 39, 93], Operations: []
Exploring Operation: 96-41=55, Resulting Numbers: [39, 93, 55]
Generated Node #2: [39, 93, 55] from Operation: 96-41=55
Current State: 77:[39, 93, 55], Operations: ['96-41=55']
Exploring Operation: 39+93=132, Resulting Numbers: [55, 132]
Generated Node #3: [55, 132] from Operation: 39+93=132
Current State: 77:[55, 132], Operations: ['96-41=55', '39+93=132']
Exploring Operation: 132-55=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
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