nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
90,
4,
75,
5
] | 95 | [
"90+4=94",
"94-75=19",
"5*19=95"
] | Current State: 95:[90, 4, 75, 5], Operations: []
Exploring Operation: 90+4=94, Resulting Numbers: [75, 5, 94]
Generated Node #2: [75, 5, 94] from Operation: 90+4=94
Current State: 95:[75, 5, 94], Operations: ['90+4=94']
Exploring Operation: 94-75=19, Resulting Numbers: [5, 19]
Generated Node #3: [5, 19] from Operation: 94-75=19
Current State: 95:[5, 19], Operations: ['90+4=94', '94-75=19']
Exploring Operation: 5*19=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
51,
44,
22,
29
] | 14 | [
"51-44=7",
"29-22=7",
"7+7=14"
] | Current State: 14:[51, 44, 22, 29], Operations: []
Exploring Operation: 51-44=7, Resulting Numbers: [22, 29, 7]
Generated Node #2: [22, 29, 7] from Operation: 51-44=7
Current State: 14:[22, 29, 7], Operations: ['51-44=7']
Exploring Operation: 29-22=7, Resulting Numbers: [7, 7]
Generated Node #3: [7, 7] from Operation: 29-22=7
Current State: 14:[7, 7], Operations: ['51-44=7', '29-22=7']
Exploring Operation: 7+7=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
16,
91,
2,
7
] | 11 | [
"91-16=75",
"2+75=77",
"77/7=11"
] | Current State: 11:[16, 91, 2, 7], Operations: []
Exploring Operation: 91-16=75, Resulting Numbers: [2, 7, 75]
Generated Node #2: [2, 7, 75] from Operation: 91-16=75
Current State: 11:[2, 7, 75], Operations: ['91-16=75']
Exploring Operation: 2+75=77, Resulting Numbers: [7, 77]
Generated Node #3: [7, 77] from Operation: 2+75=77
Current State: 11:[7, 77], Operations: ['91-16=75', '2+75=77']
Exploring Operation: 77/7=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
7,
64,
31,
37
] | 64 | [
"7+31=38",
"38-37=1",
"64*1=64"
] | Current State: 64:[7, 64, 31, 37], Operations: []
Exploring Operation: 7+31=38, Resulting Numbers: [64, 37, 38]
Generated Node #2: [64, 37, 38] from Operation: 7+31=38
Current State: 64:[64, 37, 38], Operations: ['7+31=38']
Exploring Operation: 38-37=1, Resulting Numbers: [64, 1]
Generated Node #3: [64, 1] from Operation: 38-37=1
Current State: 64:[64, 1], Operations: ['7+31=38', '38-37=1']
Exploring Operation: 64*1=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
3,
48,
76,
51
] | 41 | [
"48/3=16",
"76-51=25",
"16+25=41"
] | Current State: 41:[3, 48, 76, 51], Operations: []
Exploring Operation: 48/3=16, Resulting Numbers: [76, 51, 16]
Generated Node #2: [76, 51, 16] from Operation: 48/3=16
Current State: 41:[76, 51, 16], Operations: ['48/3=16']
Exploring Operation: 76-51=25, Resulting Numbers: [16, 25]
Generated Node #3: [16, 25] from Operation: 76-51=25
Current State: 41:[16, 25], Operations: ['48/3=16', '76-51=25']
Exploring Operation: 16+25=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
5,
40,
77,
13
] | 99 | [
"40-5=35",
"77-13=64",
"35+64=99"
] | Current State: 99:[5, 40, 77, 13], Operations: []
Exploring Operation: 40-5=35, Resulting Numbers: [77, 13, 35]
Generated Node #2: [77, 13, 35] from Operation: 40-5=35
Current State: 99:[77, 13, 35], Operations: ['40-5=35']
Exploring Operation: 77-13=64, Resulting Numbers: [35, 64]
Generated Node #3: [35, 64] from Operation: 77-13=64
Current State: 99:[35, 64], Operations: ['40-5=35', '77-13=64']
Exploring Operation: 35+64=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
22,
77,
34,
38
] | 17 | [
"77-22=55",
"34+38=72",
"72-55=17"
] | Current State: 17:[22, 77, 34, 38], Operations: []
Exploring Operation: 77-22=55, Resulting Numbers: [34, 38, 55]
Generated Node #2: [34, 38, 55] from Operation: 77-22=55
Current State: 17:[34, 38, 55], Operations: ['77-22=55']
Exploring Operation: 34+38=72, Resulting Numbers: [55, 72]
Generated Node #3: [55, 72] from Operation: 34+38=72
Current State: 17:[55, 72], Operations: ['77-22=55', '34+38=72']
Exploring Operation: 72-55=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
67,
18,
33,
39
] | 63 | [
"33+39=72",
"72/18=4",
"67-4=63"
] | Current State: 63:[67, 18, 33, 39], Operations: []
Exploring Operation: 33+39=72, Resulting Numbers: [67, 18, 72]
Generated Node #2: [67, 18, 72] from Operation: 33+39=72
Current State: 63:[67, 18, 72], Operations: ['33+39=72']
Exploring Operation: 72/18=4, Resulting Numbers: [67, 4]
Generated Node #3: [67, 4] from Operation: 72/18=4
Current State: 63:[67, 4], Operations: ['33+39=72', '72/18=4']
Exploring Operation: 67-4=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
37,
2,
96,
89
] | 46 | [
"37+2=39",
"96-89=7",
"39+7=46"
] | Current State: 46:[37, 2, 96, 89], Operations: []
Exploring Operation: 37+2=39, Resulting Numbers: [96, 89, 39]
Generated Node #2: [96, 89, 39] from Operation: 37+2=39
Current State: 46:[96, 89, 39], Operations: ['37+2=39']
Exploring Operation: 96-89=7, Resulting Numbers: [39, 7]
Generated Node #3: [39, 7] from Operation: 96-89=7
Current State: 46:[39, 7], Operations: ['37+2=39', '96-89=7']
Exploring Operation: 39+7=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
1,
16,
4,
32
] | 11 | [
"1+16=17",
"32-4=28",
"28-17=11"
] | Current State: 11:[1, 16, 4, 32], Operations: []
Exploring Operation: 1+16=17, Resulting Numbers: [4, 32, 17]
Generated Node #2: [4, 32, 17] from Operation: 1+16=17
Current State: 11:[4, 32, 17], Operations: ['1+16=17']
Exploring Operation: 32-4=28, Resulting Numbers: [17, 28]
Generated Node #3: [17, 28] from Operation: 32-4=28
Current State: 11:[17, 28], Operations: ['1+16=17', '32-4=28']
Exploring Operation: 28-17=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
42,
26,
2,
74
] | 69 | [
"42/2=21",
"74-26=48",
"21+48=69"
] | Current State: 69:[42, 26, 2, 74], Operations: []
Exploring Operation: 42/2=21, Resulting Numbers: [26, 74, 21]
Generated Node #2: [26, 74, 21] from Operation: 42/2=21
Current State: 69:[26, 74, 21], Operations: ['42/2=21']
Exploring Operation: 74-26=48, Resulting Numbers: [21, 48]
Generated Node #3: [21, 48] from Operation: 74-26=48
Current State: 69:[21, 48], Operations: ['42/2=21', '74-26=48']
Exploring Operation: 21+48=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
70,
70,
28,
24
] | 51 | [
"70/70=1",
"28+24=52",
"52-1=51"
] | Current State: 51:[70, 70, 28, 24], Operations: []
Exploring Operation: 70/70=1, Resulting Numbers: [28, 24, 1]
Generated Node #2: [28, 24, 1] from Operation: 70/70=1
Current State: 51:[28, 24, 1], Operations: ['70/70=1']
Exploring Operation: 28+24=52, Resulting Numbers: [1, 52]
Generated Node #3: [1, 52] from Operation: 28+24=52
Current State: 51:[1, 52], Operations: ['70/70=1', '28+24=52']
Exploring Operation: 52-1=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
77,
46,
21,
90
] | 38 | [
"77-46=31",
"90-21=69",
"69-31=38"
] | Current State: 38:[77, 46, 21, 90], Operations: []
Exploring Operation: 77-46=31, Resulting Numbers: [21, 90, 31]
Generated Node #2: [21, 90, 31] from Operation: 77-46=31
Current State: 38:[21, 90, 31], Operations: ['77-46=31']
Exploring Operation: 90-21=69, Resulting Numbers: [31, 69]
Generated Node #3: [31, 69] from Operation: 90-21=69
Current State: 38:[31, 69], Operations: ['77-46=31', '90-21=69']
Exploring Operation: 69-31=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
4,
35,
46,
69
] | 80 | [
"4*46=184",
"35+69=104",
"184-104=80"
] | Current State: 80:[4, 35, 46, 69], Operations: []
Exploring Operation: 4*46=184, Resulting Numbers: [35, 69, 184]
Generated Node #2: [35, 69, 184] from Operation: 4*46=184
Current State: 80:[35, 69, 184], Operations: ['4*46=184']
Exploring Operation: 35+69=104, Resulting Numbers: [184, 104]
Generated Node #3: [184, 104] from Operation: 35+69=104
Current State: 80:[184, 104], Operations: ['4*46=184', '35+69=104']
Exploring Operation: 184-104=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
11,
94,
47,
21
] | 20 | [
"21-11=10",
"94/47=2",
"10*2=20"
] | Current State: 20:[11, 94, 47, 21], Operations: []
Exploring Operation: 21-11=10, Resulting Numbers: [94, 47, 10]
Generated Node #2: [94, 47, 10] from Operation: 21-11=10
Current State: 20:[94, 47, 10], Operations: ['21-11=10']
Exploring Operation: 94/47=2, Resulting Numbers: [10, 2]
Generated Node #3: [10, 2] from Operation: 94/47=2
Current State: 20:[10, 2], Operations: ['21-11=10', '94/47=2']
Exploring Operation: 10*2=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
64,
56,
12,
62
] | 70 | [
"64+56=120",
"62-12=50",
"120-50=70"
] | Current State: 70:[64, 56, 12, 62], Operations: []
Exploring Operation: 64+56=120, Resulting Numbers: [12, 62, 120]
Generated Node #2: [12, 62, 120] from Operation: 64+56=120
Current State: 70:[12, 62, 120], Operations: ['64+56=120']
Exploring Operation: 62-12=50, Resulting Numbers: [120, 50]
Generated Node #3: [120, 50] from Operation: 62-12=50
Current State: 70:[120, 50], Operations: ['64+56=120', '62-12=50']
Exploring Operation: 120-50=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
76,
92,
21,
23
] | 28 | [
"92-76=16",
"21+23=44",
"44-16=28"
] | Current State: 28:[76, 92, 21, 23], Operations: []
Exploring Operation: 92-76=16, Resulting Numbers: [21, 23, 16]
Generated Node #2: [21, 23, 16] from Operation: 92-76=16
Current State: 28:[21, 23, 16], Operations: ['92-76=16']
Exploring Operation: 21+23=44, Resulting Numbers: [16, 44]
Generated Node #3: [16, 44] from Operation: 21+23=44
Current State: 28:[16, 44], Operations: ['92-76=16', '21+23=44']
Exploring Operation: 44-16=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
49,
25,
93,
48
] | 27 | [
"49*48=2352",
"25*93=2325",
"2352-2325=27"
] | Current State: 27:[49, 25, 93, 48], Operations: []
Exploring Operation: 49*48=2352, Resulting Numbers: [25, 93, 2352]
Generated Node #2: [25, 93, 2352] from Operation: 49*48=2352
Current State: 27:[25, 93, 2352], Operations: ['49*48=2352']
Exploring Operation: 25*93=2325, Resulting Numbers: [2352, 2325]
Generated Node #3: [2352, 2325] from Operation: 25*93=2325
Current State: 27:[2352, 2325], Operations: ['49*48=2352', '25*93=2325']
Exploring Operation: 2352-2325=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
75,
70,
28,
5
] | 28 | [
"75-70=5",
"28+5=33",
"33-5=28"
] | Current State: 28:[75, 70, 28, 5], Operations: []
Exploring Operation: 75-70=5, Resulting Numbers: [28, 5, 5]
Generated Node #2: [28, 5, 5] from Operation: 75-70=5
Current State: 28:[28, 5, 5], Operations: ['75-70=5']
Exploring Operation: 28+5=33, Resulting Numbers: [33]
33,28 equal: Goal Reached
Exploring Operation: 33-5=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
3,
16,
3,
86
] | 41 | [
"3*16=48",
"3+86=89",
"89-48=41"
] | Current State: 41:[3, 16, 3, 86], Operations: []
Exploring Operation: 3*16=48, Resulting Numbers: [86, 48]
Generated Node #2: [86, 48] from Operation: 3*16=48
Current State: 41:[86, 48], Operations: ['3*16=48']
Exploring Operation: 3+86=89, Resulting Numbers: [48, 89]
Generated Node #3: [48, 89] from Operation: 3+86=89
Current State: 41:[48, 89], Operations: ['3*16=48', '3+86=89']
Exploring Operation: 89-48=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
88,
96,
6,
99
] | 27 | [
"99-88=11",
"96/6=16",
"11+16=27"
] | Current State: 27:[88, 96, 6, 99], Operations: []
Exploring Operation: 99-88=11, Resulting Numbers: [96, 6, 11]
Generated Node #2: [96, 6, 11] from Operation: 99-88=11
Current State: 27:[96, 6, 11], Operations: ['99-88=11']
Exploring Operation: 96/6=16, Resulting Numbers: [11, 16]
Generated Node #3: [11, 16] from Operation: 96/6=16
Current State: 27:[11, 16], Operations: ['99-88=11', '96/6=16']
Exploring Operation: 11+16=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
1,
99,
99,
58
] | 58 | [
"1+99=100",
"100-99=1",
"58*1=58"
] | Current State: 58:[1, 99, 99, 58], Operations: []
Exploring Operation: 1+99=100, Resulting Numbers: [58, 100]
Generated Node #2: [58, 100] from Operation: 1+99=100
Current State: 58:[58, 100], Operations: ['1+99=100']
Exploring Operation: 100-99=1, Resulting Numbers: [58, 1]
Generated Node #3: [58, 1] from Operation: 100-99=1
Current State: 58:[58, 1], Operations: ['1+99=100', '100-99=1']
Exploring Operation: 58*1=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
1,
94,
43,
56
] | 82 | [
"1+94=95",
"56-43=13",
"95-13=82"
] | Current State: 82:[1, 94, 43, 56], Operations: []
Exploring Operation: 1+94=95, Resulting Numbers: [43, 56, 95]
Generated Node #2: [43, 56, 95] from Operation: 1+94=95
Current State: 82:[43, 56, 95], Operations: ['1+94=95']
Exploring Operation: 56-43=13, Resulting Numbers: [95, 13]
Generated Node #3: [95, 13] from Operation: 56-43=13
Current State: 82:[95, 13], Operations: ['1+94=95', '56-43=13']
Exploring Operation: 95-13=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
25,
67,
75,
6
] | 65 | [
"75/25=3",
"6/3=2",
"67-2=65"
] | Current State: 65:[25, 67, 75, 6], Operations: []
Exploring Operation: 75/25=3, Resulting Numbers: [67, 6, 3]
Generated Node #2: [67, 6, 3] from Operation: 75/25=3
Current State: 65:[67, 6, 3], Operations: ['75/25=3']
Exploring Operation: 6/3=2, Resulting Numbers: [67, 2]
Generated Node #3: [67, 2] from Operation: 6/3=2
Current State: 65:[67, 2], Operations: ['75/25=3', '6/3=2']
Exploring Operation: 67-2=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
57,
27,
74,
7
] | 70 | [
"57+27=84",
"84-74=10",
"7*10=70"
] | Current State: 70:[57, 27, 74, 7], Operations: []
Exploring Operation: 57+27=84, Resulting Numbers: [74, 7, 84]
Generated Node #2: [74, 7, 84] from Operation: 57+27=84
Current State: 70:[74, 7, 84], Operations: ['57+27=84']
Exploring Operation: 84-74=10, Resulting Numbers: [7, 10]
Generated Node #3: [7, 10] from Operation: 84-74=10
Current State: 70:[7, 10], Operations: ['57+27=84', '84-74=10']
Exploring Operation: 7*10=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
18,
56,
72,
14
] | 46 | [
"72/18=4",
"56-14=42",
"4+42=46"
] | Current State: 46:[18, 56, 72, 14], Operations: []
Exploring Operation: 72/18=4, Resulting Numbers: [56, 14, 4]
Generated Node #2: [56, 14, 4] from Operation: 72/18=4
Current State: 46:[56, 14, 4], Operations: ['72/18=4']
Exploring Operation: 56-14=42, Resulting Numbers: [4, 42]
Generated Node #3: [4, 42] from Operation: 56-14=42
Current State: 46:[4, 42], Operations: ['72/18=4', '56-14=42']
Exploring Operation: 4+42=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
63,
55,
1,
77
] | 41 | [
"63+55=118",
"1*77=77",
"118-77=41"
] | Current State: 41:[63, 55, 1, 77], Operations: []
Exploring Operation: 63+55=118, Resulting Numbers: [1, 77, 118]
Generated Node #2: [1, 77, 118] from Operation: 63+55=118
Current State: 41:[1, 77, 118], Operations: ['63+55=118']
Exploring Operation: 1*77=77, Resulting Numbers: [118, 77]
Generated Node #3: [118, 77] from Operation: 1*77=77
Current State: 41:[118, 77], Operations: ['63+55=118', '1*77=77']
Exploring Operation: 118-77=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
75,
71,
57,
17
] | 25 | [
"71-57=14",
"17-14=3",
"75/3=25"
] | Current State: 25:[75, 71, 57, 17], Operations: []
Exploring Operation: 71-57=14, Resulting Numbers: [75, 17, 14]
Generated Node #2: [75, 17, 14] from Operation: 71-57=14
Current State: 25:[75, 17, 14], Operations: ['71-57=14']
Exploring Operation: 17-14=3, Resulting Numbers: [75, 3]
Generated Node #3: [75, 3] from Operation: 17-14=3
Current State: 25:[75, 3], Operations: ['71-57=14', '17-14=3']
Exploring Operation: 75/3=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
72,
49,
70,
1
] | 46 | [
"72-49=23",
"70-1=69",
"69-23=46"
] | Current State: 46:[72, 49, 70, 1], Operations: []
Exploring Operation: 72-49=23, Resulting Numbers: [70, 1, 23]
Generated Node #2: [70, 1, 23] from Operation: 72-49=23
Current State: 46:[70, 1, 23], Operations: ['72-49=23']
Exploring Operation: 70-1=69, Resulting Numbers: [23, 69]
Generated Node #3: [23, 69] from Operation: 70-1=69
Current State: 46:[23, 69], Operations: ['72-49=23', '70-1=69']
Exploring Operation: 69-23=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
30,
68,
31,
66
] | 91 | [
"68-66=2",
"30*2=60",
"31+60=91"
] | Current State: 91:[30, 68, 31, 66], Operations: []
Exploring Operation: 68-66=2, Resulting Numbers: [30, 31, 2]
Generated Node #2: [30, 31, 2] from Operation: 68-66=2
Current State: 91:[30, 31, 2], Operations: ['68-66=2']
Exploring Operation: 30*2=60, Resulting Numbers: [31, 60]
Generated Node #3: [31, 60] from Operation: 30*2=60
Current State: 91:[31, 60], Operations: ['68-66=2', '30*2=60']
Exploring Operation: 31+60=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
2,
37,
19,
44
] | 64 | [
"2+37=39",
"44-19=25",
"39+25=64"
] | Current State: 64:[2, 37, 19, 44], Operations: []
Exploring Operation: 2+37=39, Resulting Numbers: [19, 44, 39]
Generated Node #2: [19, 44, 39] from Operation: 2+37=39
Current State: 64:[19, 44, 39], Operations: ['2+37=39']
Exploring Operation: 44-19=25, Resulting Numbers: [39, 25]
Generated Node #3: [39, 25] from Operation: 44-19=25
Current State: 64:[39, 25], Operations: ['2+37=39', '44-19=25']
Exploring Operation: 39+25=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
27,
78,
64,
53
] | 67 | [
"53-27=26",
"78/26=3",
"64+3=67"
] | Current State: 67:[27, 78, 64, 53], Operations: []
Exploring Operation: 53-27=26, Resulting Numbers: [78, 64, 26]
Generated Node #2: [78, 64, 26] from Operation: 53-27=26
Current State: 67:[78, 64, 26], Operations: ['53-27=26']
Exploring Operation: 78/26=3, Resulting Numbers: [64, 3]
Generated Node #3: [64, 3] from Operation: 78/26=3
Current State: 67:[64, 3], Operations: ['53-27=26', '78/26=3']
Exploring Operation: 64+3=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
36,
8,
42,
94
] | 80 | [
"36-8=28",
"94-42=52",
"28+52=80"
] | Current State: 80:[36, 8, 42, 94], Operations: []
Exploring Operation: 36-8=28, Resulting Numbers: [42, 94, 28]
Generated Node #2: [42, 94, 28] from Operation: 36-8=28
Current State: 80:[42, 94, 28], Operations: ['36-8=28']
Exploring Operation: 94-42=52, Resulting Numbers: [28, 52]
Generated Node #3: [28, 52] from Operation: 94-42=52
Current State: 80:[28, 52], Operations: ['36-8=28', '94-42=52']
Exploring Operation: 28+52=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
67,
81,
38,
2
] | 10 | [
"81-67=14",
"2*14=28",
"38-28=10"
] | Current State: 10:[67, 81, 38, 2], Operations: []
Exploring Operation: 81-67=14, Resulting Numbers: [38, 2, 14]
Generated Node #2: [38, 2, 14] from Operation: 81-67=14
Current State: 10:[38, 2, 14], Operations: ['81-67=14']
Exploring Operation: 2*14=28, Resulting Numbers: [38, 28]
Generated Node #3: [38, 28] from Operation: 2*14=28
Current State: 10:[38, 28], Operations: ['81-67=14', '2*14=28']
Exploring Operation: 38-28=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
45,
51,
8,
97
] | 99 | [
"51-45=6",
"8+97=105",
"105-6=99"
] | Current State: 99:[45, 51, 8, 97], Operations: []
Exploring Operation: 51-45=6, Resulting Numbers: [8, 97, 6]
Generated Node #2: [8, 97, 6] from Operation: 51-45=6
Current State: 99:[8, 97, 6], Operations: ['51-45=6']
Exploring Operation: 8+97=105, Resulting Numbers: [6, 105]
Generated Node #3: [6, 105] from Operation: 8+97=105
Current State: 99:[6, 105], Operations: ['51-45=6', '8+97=105']
Exploring Operation: 105-6=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
56,
92,
2,
21
] | 14 | [
"2+21=23",
"56*23=1288",
"1288/92=14"
] | Current State: 14:[56, 92, 2, 21], Operations: []
Exploring Operation: 2+21=23, Resulting Numbers: [56, 92, 23]
Generated Node #2: [56, 92, 23] from Operation: 2+21=23
Current State: 14:[56, 92, 23], Operations: ['2+21=23']
Exploring Operation: 56*23=1288, Resulting Numbers: [92, 1288]
Generated Node #3: [92, 1288] from Operation: 56*23=1288
Current State: 14:[92, 1288], Operations: ['2+21=23', '56*23=1288']
Exploring Operation: 1288/92=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
98,
6,
92,
19
] | 17 | [
"98-92=6",
"6*6=36",
"36-19=17"
] | Current State: 17:[98, 6, 92, 19], Operations: []
Exploring Operation: 98-92=6, Resulting Numbers: [6, 19, 6]
Generated Node #2: [6, 19, 6] from Operation: 98-92=6
Current State: 17:[6, 19, 6], Operations: ['98-92=6']
Exploring Operation: 6*6=36, Resulting Numbers: [19, 36]
Generated Node #3: [19, 36] from Operation: 6*6=36
Current State: 17:[19, 36], Operations: ['98-92=6', '6*6=36']
Exploring Operation: 36-19=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
22,
34,
84,
45
] | 86 | [
"45-34=11",
"22/11=2",
"84+2=86"
] | Current State: 86:[22, 34, 84, 45], Operations: []
Exploring Operation: 45-34=11, Resulting Numbers: [22, 84, 11]
Generated Node #2: [22, 84, 11] from Operation: 45-34=11
Current State: 86:[22, 84, 11], Operations: ['45-34=11']
Exploring Operation: 22/11=2, Resulting Numbers: [84, 2]
Generated Node #3: [84, 2] from Operation: 22/11=2
Current State: 86:[84, 2], Operations: ['45-34=11', '22/11=2']
Exploring Operation: 84+2=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
14,
49,
56,
79
] | 72 | [
"14+49=63",
"56+79=135",
"135-63=72"
] | Current State: 72:[14, 49, 56, 79], Operations: []
Exploring Operation: 14+49=63, Resulting Numbers: [56, 79, 63]
Generated Node #2: [56, 79, 63] from Operation: 14+49=63
Current State: 72:[56, 79, 63], Operations: ['14+49=63']
Exploring Operation: 56+79=135, Resulting Numbers: [63, 135]
Generated Node #3: [63, 135] from Operation: 56+79=135
Current State: 72:[63, 135], Operations: ['14+49=63', '56+79=135']
Exploring Operation: 135-63=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
9,
88,
46,
36
] | 68 | [
"9*88=792",
"792/36=22",
"46+22=68"
] | Current State: 68:[9, 88, 46, 36], Operations: []
Exploring Operation: 9*88=792, Resulting Numbers: [46, 36, 792]
Generated Node #2: [46, 36, 792] from Operation: 9*88=792
Current State: 68:[46, 36, 792], Operations: ['9*88=792']
Exploring Operation: 792/36=22, Resulting Numbers: [46, 22]
Generated Node #3: [46, 22] from Operation: 792/36=22
Current State: 68:[46, 22], Operations: ['9*88=792', '792/36=22']
Exploring Operation: 46+22=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
7,
23,
43,
3
] | 62 | [
"23-7=16",
"43+3=46",
"16+46=62"
] | Current State: 62:[7, 23, 43, 3], Operations: []
Exploring Operation: 23-7=16, Resulting Numbers: [43, 3, 16]
Generated Node #2: [43, 3, 16] from Operation: 23-7=16
Current State: 62:[43, 3, 16], Operations: ['23-7=16']
Exploring Operation: 43+3=46, Resulting Numbers: [16, 46]
Generated Node #3: [16, 46] from Operation: 43+3=46
Current State: 62:[16, 46], Operations: ['23-7=16', '43+3=46']
Exploring Operation: 16+46=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
54,
64,
27,
67
] | 70 | [
"54/27=2",
"67*2=134",
"134-64=70"
] | Current State: 70:[54, 64, 27, 67], Operations: []
Exploring Operation: 54/27=2, Resulting Numbers: [64, 67, 2]
Generated Node #2: [64, 67, 2] from Operation: 54/27=2
Current State: 70:[64, 67, 2], Operations: ['54/27=2']
Exploring Operation: 67*2=134, Resulting Numbers: [64, 134]
Generated Node #3: [64, 134] from Operation: 67*2=134
Current State: 70:[64, 134], Operations: ['54/27=2', '67*2=134']
Exploring Operation: 134-64=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
48,
5,
67,
46
] | 74 | [
"48+5=53",
"67-46=21",
"53+21=74"
] | Current State: 74:[48, 5, 67, 46], Operations: []
Exploring Operation: 48+5=53, Resulting Numbers: [67, 46, 53]
Generated Node #2: [67, 46, 53] from Operation: 48+5=53
Current State: 74:[67, 46, 53], Operations: ['48+5=53']
Exploring Operation: 67-46=21, Resulting Numbers: [53, 21]
Generated Node #3: [53, 21] from Operation: 67-46=21
Current State: 74:[53, 21], Operations: ['48+5=53', '67-46=21']
Exploring Operation: 53+21=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
77,
53,
84,
46
] | 89 | [
"53-46=7",
"84/7=12",
"77+12=89"
] | Current State: 89:[77, 53, 84, 46], Operations: []
Exploring Operation: 53-46=7, Resulting Numbers: [77, 84, 7]
Generated Node #2: [77, 84, 7] from Operation: 53-46=7
Current State: 89:[77, 84, 7], Operations: ['53-46=7']
Exploring Operation: 84/7=12, Resulting Numbers: [77, 12]
Generated Node #3: [77, 12] from Operation: 84/7=12
Current State: 89:[77, 12], Operations: ['53-46=7', '84/7=12']
Exploring Operation: 77+12=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
16,
11,
81,
64
] | 31 | [
"16*11=176",
"81+64=145",
"176-145=31"
] | Current State: 31:[16, 11, 81, 64], Operations: []
Exploring Operation: 16*11=176, Resulting Numbers: [81, 64, 176]
Generated Node #2: [81, 64, 176] from Operation: 16*11=176
Current State: 31:[81, 64, 176], Operations: ['16*11=176']
Exploring Operation: 81+64=145, Resulting Numbers: [176, 145]
Generated Node #3: [176, 145] from Operation: 81+64=145
Current State: 31:[176, 145], Operations: ['16*11=176', '81+64=145']
Exploring Operation: 176-145=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
83,
99,
19,
55
] | 52 | [
"99-83=16",
"55-19=36",
"16+36=52"
] | Current State: 52:[83, 99, 19, 55], Operations: []
Exploring Operation: 99-83=16, Resulting Numbers: [19, 55, 16]
Generated Node #2: [19, 55, 16] from Operation: 99-83=16
Current State: 52:[19, 55, 16], Operations: ['99-83=16']
Exploring Operation: 55-19=36, Resulting Numbers: [16, 36]
Generated Node #3: [16, 36] from Operation: 55-19=36
Current State: 52:[16, 36], Operations: ['99-83=16', '55-19=36']
Exploring Operation: 16+36=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
45,
40,
77,
1
] | 82 | [
"45-40=5",
"77*1=77",
"5+77=82"
] | Current State: 82:[45, 40, 77, 1], Operations: []
Exploring Operation: 45-40=5, Resulting Numbers: [77, 1, 5]
Generated Node #2: [77, 1, 5] from Operation: 45-40=5
Current State: 82:[77, 1, 5], Operations: ['45-40=5']
Exploring Operation: 77*1=77, Resulting Numbers: [5, 77]
Generated Node #3: [5, 77] from Operation: 77*1=77
Current State: 82:[5, 77], Operations: ['45-40=5', '77*1=77']
Exploring Operation: 5+77=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
12,
41,
35,
9
] | 79 | [
"12+41=53",
"35-9=26",
"53+26=79"
] | Current State: 79:[12, 41, 35, 9], Operations: []
Exploring Operation: 12+41=53, Resulting Numbers: [35, 9, 53]
Generated Node #2: [35, 9, 53] from Operation: 12+41=53
Current State: 79:[35, 9, 53], Operations: ['12+41=53']
Exploring Operation: 35-9=26, Resulting Numbers: [53, 26]
Generated Node #3: [53, 26] from Operation: 35-9=26
Current State: 79:[53, 26], Operations: ['12+41=53', '35-9=26']
Exploring Operation: 53+26=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
81,
3,
35,
84
] | 76 | [
"81/3=27",
"84-35=49",
"27+49=76"
] | Current State: 76:[81, 3, 35, 84], Operations: []
Exploring Operation: 81/3=27, Resulting Numbers: [35, 84, 27]
Generated Node #2: [35, 84, 27] from Operation: 81/3=27
Current State: 76:[35, 84, 27], Operations: ['81/3=27']
Exploring Operation: 84-35=49, Resulting Numbers: [27, 49]
Generated Node #3: [27, 49] from Operation: 84-35=49
Current State: 76:[27, 49], Operations: ['81/3=27', '84-35=49']
Exploring Operation: 27+49=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
67,
31,
3,
17
] | 10 | [
"67*3=201",
"201-31=170",
"170/17=10"
] | Current State: 10:[67, 31, 3, 17], Operations: []
Exploring Operation: 67*3=201, Resulting Numbers: [31, 17, 201]
Generated Node #2: [31, 17, 201] from Operation: 67*3=201
Current State: 10:[31, 17, 201], Operations: ['67*3=201']
Exploring Operation: 201-31=170, Resulting Numbers: [17, 170]
Generated Node #3: [17, 170] from Operation: 201-31=170
Current State: 10:[17, 170], Operations: ['67*3=201', '201-31=170']
Exploring Operation: 170/17=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
71,
55,
60,
5
] | 81 | [
"71-55=16",
"60+5=65",
"16+65=81"
] | Current State: 81:[71, 55, 60, 5], Operations: []
Exploring Operation: 71-55=16, Resulting Numbers: [60, 5, 16]
Generated Node #2: [60, 5, 16] from Operation: 71-55=16
Current State: 81:[60, 5, 16], Operations: ['71-55=16']
Exploring Operation: 60+5=65, Resulting Numbers: [16, 65]
Generated Node #3: [16, 65] from Operation: 60+5=65
Current State: 81:[16, 65], Operations: ['71-55=16', '60+5=65']
Exploring Operation: 16+65=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
10,
18,
88,
20
] | 97 | [
"10*18=180",
"180/20=9",
"88+9=97"
] | Current State: 97:[10, 18, 88, 20], Operations: []
Exploring Operation: 10*18=180, Resulting Numbers: [88, 20, 180]
Generated Node #2: [88, 20, 180] from Operation: 10*18=180
Current State: 97:[88, 20, 180], Operations: ['10*18=180']
Exploring Operation: 180/20=9, Resulting Numbers: [88, 9]
Generated Node #3: [88, 9] from Operation: 180/20=9
Current State: 97:[88, 9], Operations: ['10*18=180', '180/20=9']
Exploring Operation: 88+9=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
92,
75,
97,
63
] | 48 | [
"97-92=5",
"75/5=15",
"63-15=48"
] | Current State: 48:[92, 75, 97, 63], Operations: []
Exploring Operation: 97-92=5, Resulting Numbers: [75, 63, 5]
Generated Node #2: [75, 63, 5] from Operation: 97-92=5
Current State: 48:[75, 63, 5], Operations: ['97-92=5']
Exploring Operation: 75/5=15, Resulting Numbers: [63, 15]
Generated Node #3: [63, 15] from Operation: 75/5=15
Current State: 48:[63, 15], Operations: ['97-92=5', '75/5=15']
Exploring Operation: 63-15=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
19,
24,
71,
23
] | 28 | [
"24+71=95",
"95/19=5",
"23+5=28"
] | Current State: 28:[19, 24, 71, 23], Operations: []
Exploring Operation: 24+71=95, Resulting Numbers: [19, 23, 95]
Generated Node #2: [19, 23, 95] from Operation: 24+71=95
Current State: 28:[19, 23, 95], Operations: ['24+71=95']
Exploring Operation: 95/19=5, Resulting Numbers: [23, 5]
Generated Node #3: [23, 5] from Operation: 95/19=5
Current State: 28:[23, 5], Operations: ['24+71=95', '95/19=5']
Exploring Operation: 23+5=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
4,
70,
75,
65
] | 17 | [
"75-70=5",
"65/5=13",
"4+13=17"
] | Current State: 17:[4, 70, 75, 65], Operations: []
Exploring Operation: 75-70=5, Resulting Numbers: [4, 65, 5]
Generated Node #2: [4, 65, 5] from Operation: 75-70=5
Current State: 17:[4, 65, 5], Operations: ['75-70=5']
Exploring Operation: 65/5=13, Resulting Numbers: [4, 13]
Generated Node #3: [4, 13] from Operation: 65/5=13
Current State: 17:[4, 13], Operations: ['75-70=5', '65/5=13']
Exploring Operation: 4+13=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
32,
38,
94,
29
] | 14 | [
"32+94=126",
"38-29=9",
"126/9=14"
] | Current State: 14:[32, 38, 94, 29], Operations: []
Exploring Operation: 32+94=126, Resulting Numbers: [38, 29, 126]
Generated Node #2: [38, 29, 126] from Operation: 32+94=126
Current State: 14:[38, 29, 126], Operations: ['32+94=126']
Exploring Operation: 38-29=9, Resulting Numbers: [126, 9]
Generated Node #3: [126, 9] from Operation: 38-29=9
Current State: 14:[126, 9], Operations: ['32+94=126', '38-29=9']
Exploring Operation: 126/9=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
96,
58,
48,
56
] | 27 | [
"96/48=2",
"58/2=29",
"56-29=27"
] | Current State: 27:[96, 58, 48, 56], Operations: []
Exploring Operation: 96/48=2, Resulting Numbers: [58, 56, 2]
Generated Node #2: [58, 56, 2] from Operation: 96/48=2
Current State: 27:[58, 56, 2], Operations: ['96/48=2']
Exploring Operation: 58/2=29, Resulting Numbers: [56, 29]
Generated Node #3: [56, 29] from Operation: 58/2=29
Current State: 27:[56, 29], Operations: ['96/48=2', '58/2=29']
Exploring Operation: 56-29=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
49,
41,
18,
75
] | 69 | [
"49-41=8",
"18*8=144",
"144-75=69"
] | Current State: 69:[49, 41, 18, 75], Operations: []
Exploring Operation: 49-41=8, Resulting Numbers: [18, 75, 8]
Generated Node #2: [18, 75, 8] from Operation: 49-41=8
Current State: 69:[18, 75, 8], Operations: ['49-41=8']
Exploring Operation: 18*8=144, Resulting Numbers: [75, 144]
Generated Node #3: [75, 144] from Operation: 18*8=144
Current State: 69:[75, 144], Operations: ['49-41=8', '18*8=144']
Exploring Operation: 144-75=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
39,
48,
65,
47
] | 59 | [
"47-39=8",
"48/8=6",
"65-6=59"
] | Current State: 59:[39, 48, 65, 47], Operations: []
Exploring Operation: 47-39=8, Resulting Numbers: [48, 65, 8]
Generated Node #2: [48, 65, 8] from Operation: 47-39=8
Current State: 59:[48, 65, 8], Operations: ['47-39=8']
Exploring Operation: 48/8=6, Resulting Numbers: [65, 6]
Generated Node #3: [65, 6] from Operation: 48/8=6
Current State: 59:[65, 6], Operations: ['47-39=8', '48/8=6']
Exploring Operation: 65-6=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
89,
54,
41,
76
] | 26 | [
"89+54=143",
"41+76=117",
"143-117=26"
] | Current State: 26:[89, 54, 41, 76], Operations: []
Exploring Operation: 89+54=143, Resulting Numbers: [41, 76, 143]
Generated Node #2: [41, 76, 143] from Operation: 89+54=143
Current State: 26:[41, 76, 143], Operations: ['89+54=143']
Exploring Operation: 41+76=117, Resulting Numbers: [143, 117]
Generated Node #3: [143, 117] from Operation: 41+76=117
Current State: 26:[143, 117], Operations: ['89+54=143', '41+76=117']
Exploring Operation: 143-117=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
42,
1,
10,
20
] | 11 | [
"42-1=41",
"10+20=30",
"41-30=11"
] | Current State: 11:[42, 1, 10, 20], Operations: []
Exploring Operation: 42-1=41, Resulting Numbers: [10, 20, 41]
Generated Node #2: [10, 20, 41] from Operation: 42-1=41
Current State: 11:[10, 20, 41], Operations: ['42-1=41']
Exploring Operation: 10+20=30, Resulting Numbers: [41, 30]
Generated Node #3: [41, 30] from Operation: 10+20=30
Current State: 11:[41, 30], Operations: ['42-1=41', '10+20=30']
Exploring Operation: 41-30=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
73,
35,
91,
37
] | 16 | [
"73-35=38",
"91-37=54",
"54-38=16"
] | Current State: 16:[73, 35, 91, 37], Operations: []
Exploring Operation: 73-35=38, Resulting Numbers: [91, 37, 38]
Generated Node #2: [91, 37, 38] from Operation: 73-35=38
Current State: 16:[91, 37, 38], Operations: ['73-35=38']
Exploring Operation: 91-37=54, Resulting Numbers: [38, 54]
Generated Node #3: [38, 54] from Operation: 91-37=54
Current State: 16:[38, 54], Operations: ['73-35=38', '91-37=54']
Exploring Operation: 54-38=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
68,
32,
81,
94
] | 75 | [
"68+32=100",
"81+94=175",
"175-100=75"
] | Current State: 75:[68, 32, 81, 94], Operations: []
Exploring Operation: 68+32=100, Resulting Numbers: [81, 94, 100]
Generated Node #2: [81, 94, 100] from Operation: 68+32=100
Current State: 75:[81, 94, 100], Operations: ['68+32=100']
Exploring Operation: 81+94=175, Resulting Numbers: [100, 175]
Generated Node #3: [100, 175] from Operation: 81+94=175
Current State: 75:[100, 175], Operations: ['68+32=100', '81+94=175']
Exploring Operation: 175-100=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
9,
36,
98,
2
] | 53 | [
"36/9=4",
"98/2=49",
"4+49=53"
] | Current State: 53:[9, 36, 98, 2], Operations: []
Exploring Operation: 36/9=4, Resulting Numbers: [98, 2, 4]
Generated Node #2: [98, 2, 4] from Operation: 36/9=4
Current State: 53:[98, 2, 4], Operations: ['36/9=4']
Exploring Operation: 98/2=49, Resulting Numbers: [4, 49]
Generated Node #3: [4, 49] from Operation: 98/2=49
Current State: 53:[4, 49], Operations: ['36/9=4', '98/2=49']
Exploring Operation: 4+49=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
51,
52,
69,
51
] | 69 | [
"51-51=0",
"52*0=0",
"69+0=69"
] | Current State: 69:[51, 52, 69, 51], Operations: []
Exploring Operation: 51-51=0, Resulting Numbers: [52, 69, 0]
Generated Node #2: [52, 69, 0] from Operation: 51-51=0
Current State: 69:[52, 69, 0], Operations: ['51-51=0']
Exploring Operation: 52*0=0, Resulting Numbers: [69, 0]
Generated Node #3: [69, 0] from Operation: 52*0=0
Current State: 69:[69, 0], Operations: ['51-51=0', '52*0=0']
Exploring Operation: 69+0=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
86,
45,
23,
8
] | 90 | [
"45-23=22",
"8*22=176",
"176-86=90"
] | Current State: 90:[86, 45, 23, 8], Operations: []
Exploring Operation: 45-23=22, Resulting Numbers: [86, 8, 22]
Generated Node #2: [86, 8, 22] from Operation: 45-23=22
Current State: 90:[86, 8, 22], Operations: ['45-23=22']
Exploring Operation: 8*22=176, Resulting Numbers: [86, 176]
Generated Node #3: [86, 176] from Operation: 8*22=176
Current State: 90:[86, 176], Operations: ['45-23=22', '8*22=176']
Exploring Operation: 176-86=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
19,
11,
53,
52
] | 31 | [
"19+11=30",
"53-52=1",
"30+1=31"
] | Current State: 31:[19, 11, 53, 52], Operations: []
Exploring Operation: 19+11=30, Resulting Numbers: [53, 52, 30]
Generated Node #2: [53, 52, 30] from Operation: 19+11=30
Current State: 31:[53, 52, 30], Operations: ['19+11=30']
Exploring Operation: 53-52=1, Resulting Numbers: [30, 1]
Generated Node #3: [30, 1] from Operation: 53-52=1
Current State: 31:[30, 1], Operations: ['19+11=30', '53-52=1']
Exploring Operation: 30+1=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
48,
95,
53,
54
] | 35 | [
"53-48=5",
"95/5=19",
"54-19=35"
] | Current State: 35:[48, 95, 53, 54], Operations: []
Exploring Operation: 53-48=5, Resulting Numbers: [95, 54, 5]
Generated Node #2: [95, 54, 5] from Operation: 53-48=5
Current State: 35:[95, 54, 5], Operations: ['53-48=5']
Exploring Operation: 95/5=19, Resulting Numbers: [54, 19]
Generated Node #3: [54, 19] from Operation: 95/5=19
Current State: 35:[54, 19], Operations: ['53-48=5', '95/5=19']
Exploring Operation: 54-19=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
31,
90,
20,
3
] | 81 | [
"31+20=51",
"90/3=30",
"51+30=81"
] | Current State: 81:[31, 90, 20, 3], Operations: []
Exploring Operation: 31+20=51, Resulting Numbers: [90, 3, 51]
Generated Node #2: [90, 3, 51] from Operation: 31+20=51
Current State: 81:[90, 3, 51], Operations: ['31+20=51']
Exploring Operation: 90/3=30, Resulting Numbers: [51, 30]
Generated Node #3: [51, 30] from Operation: 90/3=30
Current State: 81:[51, 30], Operations: ['31+20=51', '90/3=30']
Exploring Operation: 51+30=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
9,
17,
56,
11
] | 27 | [
"17*11=187",
"56+187=243",
"243/9=27"
] | Current State: 27:[9, 17, 56, 11], Operations: []
Exploring Operation: 17*11=187, Resulting Numbers: [9, 56, 187]
Generated Node #2: [9, 56, 187] from Operation: 17*11=187
Current State: 27:[9, 56, 187], Operations: ['17*11=187']
Exploring Operation: 56+187=243, Resulting Numbers: [9, 243]
Generated Node #3: [9, 243] from Operation: 56+187=243
Current State: 27:[9, 243], Operations: ['17*11=187', '56+187=243']
Exploring Operation: 243/9=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
6,
82,
45,
69
] | 26 | [
"6+82=88",
"45+69=114",
"114-88=26"
] | Current State: 26:[6, 82, 45, 69], Operations: []
Exploring Operation: 6+82=88, Resulting Numbers: [45, 69, 88]
Generated Node #2: [45, 69, 88] from Operation: 6+82=88
Current State: 26:[45, 69, 88], Operations: ['6+82=88']
Exploring Operation: 45+69=114, Resulting Numbers: [88, 114]
Generated Node #3: [88, 114] from Operation: 45+69=114
Current State: 26:[88, 114], Operations: ['6+82=88', '45+69=114']
Exploring Operation: 114-88=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
71,
19,
77,
64
] | 39 | [
"71-19=52",
"77-64=13",
"52-13=39"
] | Current State: 39:[71, 19, 77, 64], Operations: []
Exploring Operation: 71-19=52, Resulting Numbers: [77, 64, 52]
Generated Node #2: [77, 64, 52] from Operation: 71-19=52
Current State: 39:[77, 64, 52], Operations: ['71-19=52']
Exploring Operation: 77-64=13, Resulting Numbers: [52, 13]
Generated Node #3: [52, 13] from Operation: 77-64=13
Current State: 39:[52, 13], Operations: ['71-19=52', '77-64=13']
Exploring Operation: 52-13=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
22,
16,
8,
4
] | 60 | [
"22*8=176",
"176/4=44",
"16+44=60"
] | Current State: 60:[22, 16, 8, 4], Operations: []
Exploring Operation: 22*8=176, Resulting Numbers: [16, 4, 176]
Generated Node #2: [16, 4, 176] from Operation: 22*8=176
Current State: 60:[16, 4, 176], Operations: ['22*8=176']
Exploring Operation: 176/4=44, Resulting Numbers: [16, 44]
Generated Node #3: [16, 44] from Operation: 176/4=44
Current State: 60:[16, 44], Operations: ['22*8=176', '176/4=44']
Exploring Operation: 16+44=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
59,
2,
15,
76
] | 72 | [
"59+15=74",
"2*74=148",
"148-76=72"
] | Current State: 72:[59, 2, 15, 76], Operations: []
Exploring Operation: 59+15=74, Resulting Numbers: [2, 76, 74]
Generated Node #2: [2, 76, 74] from Operation: 59+15=74
Current State: 72:[2, 76, 74], Operations: ['59+15=74']
Exploring Operation: 2*74=148, Resulting Numbers: [76, 148]
Generated Node #3: [76, 148] from Operation: 2*74=148
Current State: 72:[76, 148], Operations: ['59+15=74', '2*74=148']
Exploring Operation: 148-76=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
95,
36,
76,
76
] | 93 | [
"95-36=59",
"76+76=152",
"152-59=93"
] | Current State: 93:[95, 36, 76, 76], Operations: []
Exploring Operation: 95-36=59, Resulting Numbers: [76, 76, 59]
Generated Node #2: [76, 76, 59] from Operation: 95-36=59
Current State: 93:[76, 76, 59], Operations: ['95-36=59']
Exploring Operation: 76+76=152, Resulting Numbers: [59, 152]
Generated Node #3: [59, 152] from Operation: 76+76=152
Current State: 93:[59, 152], Operations: ['95-36=59', '76+76=152']
Exploring Operation: 152-59=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
8,
84,
72,
88
] | 84 | [
"84-8=76",
"72+88=160",
"160-76=84"
] | Current State: 84:[8, 84, 72, 88], Operations: []
Exploring Operation: 84-8=76, Resulting Numbers: [72, 88, 76]
Generated Node #2: [72, 88, 76] from Operation: 84-8=76
Current State: 84:[72, 88, 76], Operations: ['84-8=76']
Exploring Operation: 72+88=160, Resulting Numbers: [76, 160]
Generated Node #3: [76, 160] from Operation: 72+88=160
Current State: 84:[76, 160], Operations: ['84-8=76', '72+88=160']
Exploring Operation: 160-76=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
3,
1,
12,
62
] | 48 | [
"3-1=2",
"62-12=50",
"50-2=48"
] | Current State: 48:[3, 1, 12, 62], Operations: []
Exploring Operation: 3-1=2, Resulting Numbers: [12, 62, 2]
Generated Node #2: [12, 62, 2] from Operation: 3-1=2
Current State: 48:[12, 62, 2], Operations: ['3-1=2']
Exploring Operation: 62-12=50, Resulting Numbers: [2, 50]
Generated Node #3: [2, 50] from Operation: 62-12=50
Current State: 48:[2, 50], Operations: ['3-1=2', '62-12=50']
Exploring Operation: 50-2=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
49,
32,
4,
72
] | 35 | [
"49-32=17",
"72/4=18",
"17+18=35"
] | Current State: 35:[49, 32, 4, 72], Operations: []
Exploring Operation: 49-32=17, Resulting Numbers: [4, 72, 17]
Generated Node #2: [4, 72, 17] from Operation: 49-32=17
Current State: 35:[4, 72, 17], Operations: ['49-32=17']
Exploring Operation: 72/4=18, Resulting Numbers: [17, 18]
Generated Node #3: [17, 18] from Operation: 72/4=18
Current State: 35:[17, 18], Operations: ['49-32=17', '72/4=18']
Exploring Operation: 17+18=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
29,
84,
84,
4
] | 24 | [
"29-4=25",
"84/84=1",
"25-1=24"
] | Current State: 24:[29, 84, 84, 4], Operations: []
Exploring Operation: 29-4=25, Resulting Numbers: [84, 84, 25]
Generated Node #2: [84, 84, 25] from Operation: 29-4=25
Current State: 24:[84, 84, 25], Operations: ['29-4=25']
Exploring Operation: 84/84=1, Resulting Numbers: [25, 1]
Generated Node #3: [25, 1] from Operation: 84/84=1
Current State: 24:[25, 1], Operations: ['29-4=25', '84/84=1']
Exploring Operation: 25-1=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
87,
65,
30,
50
] | 58 | [
"87-65=22",
"30+50=80",
"80-22=58"
] | Current State: 58:[87, 65, 30, 50], Operations: []
Exploring Operation: 87-65=22, Resulting Numbers: [30, 50, 22]
Generated Node #2: [30, 50, 22] from Operation: 87-65=22
Current State: 58:[30, 50, 22], Operations: ['87-65=22']
Exploring Operation: 30+50=80, Resulting Numbers: [22, 80]
Generated Node #3: [22, 80] from Operation: 30+50=80
Current State: 58:[22, 80], Operations: ['87-65=22', '30+50=80']
Exploring Operation: 80-22=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
12,
30,
65,
43
] | 40 | [
"30-12=18",
"65-43=22",
"18+22=40"
] | Current State: 40:[12, 30, 65, 43], Operations: []
Exploring Operation: 30-12=18, Resulting Numbers: [65, 43, 18]
Generated Node #2: [65, 43, 18] from Operation: 30-12=18
Current State: 40:[65, 43, 18], Operations: ['30-12=18']
Exploring Operation: 65-43=22, Resulting Numbers: [18, 22]
Generated Node #3: [18, 22] from Operation: 65-43=22
Current State: 40:[18, 22], Operations: ['30-12=18', '65-43=22']
Exploring Operation: 18+22=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
68,
58,
55,
7
] | 58 | [
"68-58=10",
"55-7=48",
"10+48=58"
] | Current State: 58:[68, 58, 55, 7], Operations: []
Exploring Operation: 68-58=10, Resulting Numbers: [55, 7, 10]
Generated Node #2: [55, 7, 10] from Operation: 68-58=10
Current State: 58:[55, 7, 10], Operations: ['68-58=10']
Exploring Operation: 55-7=48, Resulting Numbers: [10, 48]
Generated Node #3: [10, 48] from Operation: 55-7=48
Current State: 58:[10, 48], Operations: ['68-58=10', '55-7=48']
Exploring Operation: 10+48=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
70,
46,
36,
6
] | 30 | [
"70-46=24",
"36/6=6",
"24+6=30"
] | Current State: 30:[70, 46, 36, 6], Operations: []
Exploring Operation: 70-46=24, Resulting Numbers: [36, 6, 24]
Generated Node #2: [36, 6, 24] from Operation: 70-46=24
Current State: 30:[36, 6, 24], Operations: ['70-46=24']
Exploring Operation: 36/6=6, Resulting Numbers: [24, 6]
Generated Node #3: [24, 6] from Operation: 36/6=6
Current State: 30:[24, 6], Operations: ['70-46=24', '36/6=6']
Exploring Operation: 24+6=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
86,
88,
66,
19
] | 89 | [
"86+88=174",
"66+19=85",
"174-85=89"
] | Current State: 89:[86, 88, 66, 19], Operations: []
Exploring Operation: 86+88=174, Resulting Numbers: [66, 19, 174]
Generated Node #2: [66, 19, 174] from Operation: 86+88=174
Current State: 89:[66, 19, 174], Operations: ['86+88=174']
Exploring Operation: 66+19=85, Resulting Numbers: [174, 85]
Generated Node #3: [174, 85] from Operation: 66+19=85
Current State: 89:[174, 85], Operations: ['86+88=174', '66+19=85']
Exploring Operation: 174-85=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
13,
40,
16,
3
] | 85 | [
"40-16=24",
"3*24=72",
"13+72=85"
] | Current State: 85:[13, 40, 16, 3], Operations: []
Exploring Operation: 40-16=24, Resulting Numbers: [13, 3, 24]
Generated Node #2: [13, 3, 24] from Operation: 40-16=24
Current State: 85:[13, 3, 24], Operations: ['40-16=24']
Exploring Operation: 3*24=72, Resulting Numbers: [13, 72]
Generated Node #3: [13, 72] from Operation: 3*24=72
Current State: 85:[13, 72], Operations: ['40-16=24', '3*24=72']
Exploring Operation: 13+72=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
73,
32,
64,
39
] | 62 | [
"73-32=41",
"64+39=103",
"103-41=62"
] | Current State: 62:[73, 32, 64, 39], Operations: []
Exploring Operation: 73-32=41, Resulting Numbers: [64, 39, 41]
Generated Node #2: [64, 39, 41] from Operation: 73-32=41
Current State: 62:[64, 39, 41], Operations: ['73-32=41']
Exploring Operation: 64+39=103, Resulting Numbers: [41, 103]
Generated Node #3: [41, 103] from Operation: 64+39=103
Current State: 62:[41, 103], Operations: ['73-32=41', '64+39=103']
Exploring Operation: 103-41=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
31,
19,
1,
38
] | 27 | [
"31-19=12",
"1+38=39",
"39-12=27"
] | Current State: 27:[31, 19, 1, 38], Operations: []
Exploring Operation: 31-19=12, Resulting Numbers: [1, 38, 12]
Generated Node #2: [1, 38, 12] from Operation: 31-19=12
Current State: 27:[1, 38, 12], Operations: ['31-19=12']
Exploring Operation: 1+38=39, Resulting Numbers: [12, 39]
Generated Node #3: [12, 39] from Operation: 1+38=39
Current State: 27:[12, 39], Operations: ['31-19=12', '1+38=39']
Exploring Operation: 39-12=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
65,
9,
84,
60
] | 21 | [
"65-9=56",
"60-56=4",
"84/4=21"
] | Current State: 21:[65, 9, 84, 60], Operations: []
Exploring Operation: 65-9=56, Resulting Numbers: [84, 60, 56]
Generated Node #2: [84, 60, 56] from Operation: 65-9=56
Current State: 21:[84, 60, 56], Operations: ['65-9=56']
Exploring Operation: 60-56=4, Resulting Numbers: [84, 4]
Generated Node #3: [84, 4] from Operation: 60-56=4
Current State: 21:[84, 4], Operations: ['65-9=56', '60-56=4']
Exploring Operation: 84/4=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
85,
31,
24,
72
] | 42 | [
"85-31=54",
"24+72=96",
"96-54=42"
] | Current State: 42:[85, 31, 24, 72], Operations: []
Exploring Operation: 85-31=54, Resulting Numbers: [24, 72, 54]
Generated Node #2: [24, 72, 54] from Operation: 85-31=54
Current State: 42:[24, 72, 54], Operations: ['85-31=54']
Exploring Operation: 24+72=96, Resulting Numbers: [54, 96]
Generated Node #3: [54, 96] from Operation: 24+72=96
Current State: 42:[54, 96], Operations: ['85-31=54', '24+72=96']
Exploring Operation: 96-54=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
90,
64,
32,
2
] | 60 | [
"90-64=26",
"32+2=34",
"26+34=60"
] | Current State: 60:[90, 64, 32, 2], Operations: []
Exploring Operation: 90-64=26, Resulting Numbers: [32, 2, 26]
Generated Node #2: [32, 2, 26] from Operation: 90-64=26
Current State: 60:[32, 2, 26], Operations: ['90-64=26']
Exploring Operation: 32+2=34, Resulting Numbers: [26, 34]
Generated Node #3: [26, 34] from Operation: 32+2=34
Current State: 60:[26, 34], Operations: ['90-64=26', '32+2=34']
Exploring Operation: 26+34=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
25,
3,
69,
40
] | 24 | [
"40-25=15",
"3*15=45",
"69-45=24"
] | Current State: 24:[25, 3, 69, 40], Operations: []
Exploring Operation: 40-25=15, Resulting Numbers: [3, 69, 15]
Generated Node #2: [3, 69, 15] from Operation: 40-25=15
Current State: 24:[3, 69, 15], Operations: ['40-25=15']
Exploring Operation: 3*15=45, Resulting Numbers: [69, 45]
Generated Node #3: [69, 45] from Operation: 3*15=45
Current State: 24:[69, 45], Operations: ['40-25=15', '3*15=45']
Exploring Operation: 69-45=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
50,
75,
14,
72
] | 83 | [
"75-50=25",
"72-14=58",
"25+58=83"
] | Current State: 83:[50, 75, 14, 72], Operations: []
Exploring Operation: 75-50=25, Resulting Numbers: [14, 72, 25]
Generated Node #2: [14, 72, 25] from Operation: 75-50=25
Current State: 83:[14, 72, 25], Operations: ['75-50=25']
Exploring Operation: 72-14=58, Resulting Numbers: [25, 58]
Generated Node #3: [25, 58] from Operation: 72-14=58
Current State: 83:[25, 58], Operations: ['75-50=25', '72-14=58']
Exploring Operation: 25+58=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
91,
12,
89,
84
] | 94 | [
"91-12=79",
"89+84=173",
"173-79=94"
] | Current State: 94:[91, 12, 89, 84], Operations: []
Exploring Operation: 91-12=79, Resulting Numbers: [89, 84, 79]
Generated Node #2: [89, 84, 79] from Operation: 91-12=79
Current State: 94:[89, 84, 79], Operations: ['91-12=79']
Exploring Operation: 89+84=173, Resulting Numbers: [79, 173]
Generated Node #3: [79, 173] from Operation: 89+84=173
Current State: 94:[79, 173], Operations: ['91-12=79', '89+84=173']
Exploring Operation: 173-79=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
20,
2,
24,
32
] | 64 | [
"20+2=22",
"24-22=2",
"32*2=64"
] | Current State: 64:[20, 2, 24, 32], Operations: []
Exploring Operation: 20+2=22, Resulting Numbers: [24, 32, 22]
Generated Node #2: [24, 32, 22] from Operation: 20+2=22
Current State: 64:[24, 32, 22], Operations: ['20+2=22']
Exploring Operation: 24-22=2, Resulting Numbers: [32, 2]
Generated Node #3: [32, 2] from Operation: 24-22=2
Current State: 64:[32, 2], Operations: ['20+2=22', '24-22=2']
Exploring Operation: 32*2=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
24,
42,
75,
71
] | 62 | [
"24+42=66",
"75-71=4",
"66-4=62"
] | Current State: 62:[24, 42, 75, 71], Operations: []
Exploring Operation: 24+42=66, Resulting Numbers: [75, 71, 66]
Generated Node #2: [75, 71, 66] from Operation: 24+42=66
Current State: 62:[75, 71, 66], Operations: ['24+42=66']
Exploring Operation: 75-71=4, Resulting Numbers: [66, 4]
Generated Node #3: [66, 4] from Operation: 75-71=4
Current State: 62:[66, 4], Operations: ['24+42=66', '75-71=4']
Exploring Operation: 66-4=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
64,
18,
91,
5
] | 40 | [
"64-18=46",
"91-5=86",
"86-46=40"
] | Current State: 40:[64, 18, 91, 5], Operations: []
Exploring Operation: 64-18=46, Resulting Numbers: [91, 5, 46]
Generated Node #2: [91, 5, 46] from Operation: 64-18=46
Current State: 40:[91, 5, 46], Operations: ['64-18=46']
Exploring Operation: 91-5=86, Resulting Numbers: [46, 86]
Generated Node #3: [46, 86] from Operation: 91-5=86
Current State: 40:[46, 86], Operations: ['64-18=46', '91-5=86']
Exploring Operation: 86-46=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
91,
43,
92,
90
] | 86 | [
"92+90=182",
"182/91=2",
"43*2=86"
] | Current State: 86:[91, 43, 92, 90], Operations: []
Exploring Operation: 92+90=182, Resulting Numbers: [91, 43, 182]
Generated Node #2: [91, 43, 182] from Operation: 92+90=182
Current State: 86:[91, 43, 182], Operations: ['92+90=182']
Exploring Operation: 182/91=2, Resulting Numbers: [43, 2]
Generated Node #3: [43, 2] from Operation: 182/91=2
Current State: 86:[43, 2], Operations: ['92+90=182', '182/91=2']
Exploring Operation: 43*2=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
28,
19,
94,
49
] | 54 | [
"28-19=9",
"94-49=45",
"9+45=54"
] | Current State: 54:[28, 19, 94, 49], Operations: []
Exploring Operation: 28-19=9, Resulting Numbers: [94, 49, 9]
Generated Node #2: [94, 49, 9] from Operation: 28-19=9
Current State: 54:[94, 49, 9], Operations: ['28-19=9']
Exploring Operation: 94-49=45, Resulting Numbers: [9, 45]
Generated Node #3: [9, 45] from Operation: 94-49=45
Current State: 54:[9, 45], Operations: ['28-19=9', '94-49=45']
Exploring Operation: 9+45=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
99,
79,
16,
63
] | 98 | [
"79-16=63",
"63/63=1",
"99-1=98"
] | Current State: 98:[99, 79, 16, 63], Operations: []
Exploring Operation: 79-16=63, Resulting Numbers: [99, 63, 63]
Generated Node #2: [99, 63, 63] from Operation: 79-16=63
Current State: 98:[99, 63, 63], Operations: ['79-16=63']
Exploring Operation: 63/63=1, Resulting Numbers: [99, 1]
Generated Node #3: [99, 1] from Operation: 63/63=1
Current State: 98:[99, 1], Operations: ['79-16=63', '63/63=1']
Exploring Operation: 99-1=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
65,
35,
24,
14
] | 10 | [
"65+35=100",
"24-14=10",
"100/10=10"
] | Current State: 10:[65, 35, 24, 14], Operations: []
Exploring Operation: 65+35=100, Resulting Numbers: [24, 14, 100]
Generated Node #2: [24, 14, 100] from Operation: 65+35=100
Current State: 10:[24, 14, 100], Operations: ['65+35=100']
Exploring Operation: 24-14=10, Resulting Numbers: [100, 10]
Generated Node #3: [100, 10] from Operation: 24-14=10
Current State: 10:[100, 10], Operations: ['65+35=100', '24-14=10']
Exploring Operation: 100/10=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
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