nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
47,
84,
20,
15
] | 72 | [
"84-47=37",
"20+15=35",
"37+35=72"
] | Current State: 72:[47, 84, 20, 15], Operations: []
Exploring Operation: 84-47=37, Resulting Numbers: [20, 15, 37]
Generated Node #2: [20, 15, 37] from Operation: 84-47=37
Current State: 72:[20, 15, 37], Operations: ['84-47=37']
Exploring Operation: 20+15=35, Resulting Numbers: [37, 35]
Generated Node #3: [37, 35] from Operation: 20+15=35
Current State: 72:[37, 35], Operations: ['84-47=37', '20+15=35']
Exploring Operation: 37+35=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
10,
69,
89,
93
] | 29 | [
"93-89=4",
"10*4=40",
"69-40=29"
] | Current State: 29:[10, 69, 89, 93], Operations: []
Exploring Operation: 93-89=4, Resulting Numbers: [10, 69, 4]
Generated Node #2: [10, 69, 4] from Operation: 93-89=4
Current State: 29:[10, 69, 4], Operations: ['93-89=4']
Exploring Operation: 10*4=40, Resulting Numbers: [69, 40]
Generated Node #3: [69, 40] from Operation: 10*4=40
Current State: 29:[69, 40], Operations: ['93-89=4', '10*4=40']
Exploring Operation: 69-40=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
23,
81,
11,
82
] | 86 | [
"81+11=92",
"92/23=4",
"82+4=86"
] | Current State: 86:[23, 81, 11, 82], Operations: []
Exploring Operation: 81+11=92, Resulting Numbers: [23, 82, 92]
Generated Node #2: [23, 82, 92] from Operation: 81+11=92
Current State: 86:[23, 82, 92], Operations: ['81+11=92']
Exploring Operation: 92/23=4, Resulting Numbers: [82, 4]
Generated Node #3: [82, 4] from Operation: 92/23=4
Current State: 86:[82, 4], Operations: ['81+11=92', '92/23=4']
Exploring Operation: 82+4=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
12,
91,
70,
2
] | 44 | [
"91-12=79",
"70/2=35",
"79-35=44"
] | Current State: 44:[12, 91, 70, 2], Operations: []
Exploring Operation: 91-12=79, Resulting Numbers: [70, 2, 79]
Generated Node #2: [70, 2, 79] from Operation: 91-12=79
Current State: 44:[70, 2, 79], Operations: ['91-12=79']
Exploring Operation: 70/2=35, Resulting Numbers: [79, 35]
Generated Node #3: [79, 35] from Operation: 70/2=35
Current State: 44:[79, 35], Operations: ['91-12=79', '70/2=35']
Exploring Operation: 79-35=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
17,
70,
19,
38
] | 68 | [
"17+70=87",
"38-19=19",
"87-19=68"
] | Current State: 68:[17, 70, 19, 38], Operations: []
Exploring Operation: 17+70=87, Resulting Numbers: [19, 38, 87]
Generated Node #2: [19, 38, 87] from Operation: 17+70=87
Current State: 68:[19, 38, 87], Operations: ['17+70=87']
Exploring Operation: 38-19=19, Resulting Numbers: [87, 19]
Generated Node #3: [87, 19] from Operation: 38-19=19
Current State: 68:[87, 19], Operations: ['17+70=87', '38-19=19']
Exploring Operation: 87-19=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
52,
7,
86,
45
] | 85 | [
"52-7=45",
"45/45=1",
"86-1=85"
] | Current State: 85:[52, 7, 86, 45], Operations: []
Exploring Operation: 52-7=45, Resulting Numbers: [86, 45, 45]
Generated Node #2: [86, 45, 45] from Operation: 52-7=45
Current State: 85:[86, 45, 45], Operations: ['52-7=45']
Exploring Operation: 45/45=1, Resulting Numbers: [86, 1]
Generated Node #3: [86, 1] from Operation: 45/45=1
Current State: 85:[86, 1], Operations: ['52-7=45', '45/45=1']
Exploring Operation: 86-1=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
12,
55,
4,
3
] | 44 | [
"55-12=43",
"4-3=1",
"43+1=44"
] | Current State: 44:[12, 55, 4, 3], Operations: []
Exploring Operation: 55-12=43, Resulting Numbers: [4, 3, 43]
Generated Node #2: [4, 3, 43] from Operation: 55-12=43
Current State: 44:[4, 3, 43], Operations: ['55-12=43']
Exploring Operation: 4-3=1, Resulting Numbers: [43, 1]
Generated Node #3: [43, 1] from Operation: 4-3=1
Current State: 44:[43, 1], Operations: ['55-12=43', '4-3=1']
Exploring Operation: 43+1=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
42,
53,
81,
32
] | 46 | [
"42+53=95",
"81-32=49",
"95-49=46"
] | Current State: 46:[42, 53, 81, 32], Operations: []
Exploring Operation: 42+53=95, Resulting Numbers: [81, 32, 95]
Generated Node #2: [81, 32, 95] from Operation: 42+53=95
Current State: 46:[81, 32, 95], Operations: ['42+53=95']
Exploring Operation: 81-32=49, Resulting Numbers: [95, 49]
Generated Node #3: [95, 49] from Operation: 81-32=49
Current State: 46:[95, 49], Operations: ['42+53=95', '81-32=49']
Exploring Operation: 95-49=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
31,
43,
40,
67
] | 47 | [
"31+43=74",
"67-40=27",
"74-27=47"
] | Current State: 47:[31, 43, 40, 67], Operations: []
Exploring Operation: 31+43=74, Resulting Numbers: [40, 67, 74]
Generated Node #2: [40, 67, 74] from Operation: 31+43=74
Current State: 47:[40, 67, 74], Operations: ['31+43=74']
Exploring Operation: 67-40=27, Resulting Numbers: [74, 27]
Generated Node #3: [74, 27] from Operation: 67-40=27
Current State: 47:[74, 27], Operations: ['31+43=74', '67-40=27']
Exploring Operation: 74-27=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
46,
60,
2,
78
] | 71 | [
"60-46=14",
"14/2=7",
"78-7=71"
] | Current State: 71:[46, 60, 2, 78], Operations: []
Exploring Operation: 60-46=14, Resulting Numbers: [2, 78, 14]
Generated Node #2: [2, 78, 14] from Operation: 60-46=14
Current State: 71:[2, 78, 14], Operations: ['60-46=14']
Exploring Operation: 14/2=7, Resulting Numbers: [78, 7]
Generated Node #3: [78, 7] from Operation: 14/2=7
Current State: 71:[78, 7], Operations: ['60-46=14', '14/2=7']
Exploring Operation: 78-7=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
32,
9,
56,
46
] | 51 | [
"32+9=41",
"56-46=10",
"41+10=51"
] | Current State: 51:[32, 9, 56, 46], Operations: []
Exploring Operation: 32+9=41, Resulting Numbers: [56, 46, 41]
Generated Node #2: [56, 46, 41] from Operation: 32+9=41
Current State: 51:[56, 46, 41], Operations: ['32+9=41']
Exploring Operation: 56-46=10, Resulting Numbers: [41, 10]
Generated Node #3: [41, 10] from Operation: 56-46=10
Current State: 51:[41, 10], Operations: ['32+9=41', '56-46=10']
Exploring Operation: 41+10=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
46,
47,
96,
67
] | 70 | [
"46+47=93",
"96+67=163",
"163-93=70"
] | Current State: 70:[46, 47, 96, 67], Operations: []
Exploring Operation: 46+47=93, Resulting Numbers: [96, 67, 93]
Generated Node #2: [96, 67, 93] from Operation: 46+47=93
Current State: 70:[96, 67, 93], Operations: ['46+47=93']
Exploring Operation: 96+67=163, Resulting Numbers: [93, 163]
Generated Node #3: [93, 163] from Operation: 96+67=163
Current State: 70:[93, 163], Operations: ['46+47=93', '96+67=163']
Exploring Operation: 163-93=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
55,
15,
65,
88
] | 11 | [
"55+65=120",
"15*88=1320",
"1320/120=11"
] | Current State: 11:[55, 15, 65, 88], Operations: []
Exploring Operation: 55+65=120, Resulting Numbers: [15, 88, 120]
Generated Node #2: [15, 88, 120] from Operation: 55+65=120
Current State: 11:[15, 88, 120], Operations: ['55+65=120']
Exploring Operation: 15*88=1320, Resulting Numbers: [120, 1320]
Generated Node #3: [120, 1320] from Operation: 15*88=1320
Current State: 11:[120, 1320], Operations: ['55+65=120', '15*88=1320']
Exploring Operation: 1320/120=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
64,
34,
30,
25
] | 26 | [
"64-34=30",
"30/30=1",
"25+1=26"
] | Current State: 26:[64, 34, 30, 25], Operations: []
Exploring Operation: 64-34=30, Resulting Numbers: [30, 25, 30]
Generated Node #2: [30, 25, 30] from Operation: 64-34=30
Current State: 26:[30, 25, 30], Operations: ['64-34=30']
Exploring Operation: 30/30=1, Resulting Numbers: [25, 1]
Generated Node #3: [25, 1] from Operation: 30/30=1
Current State: 26:[25, 1], Operations: ['64-34=30', '30/30=1']
Exploring Operation: 25+1=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
72,
46,
60,
85
] | 56 | [
"72*85=6120",
"6120/60=102",
"102-46=56"
] | Current State: 56:[72, 46, 60, 85], Operations: []
Exploring Operation: 72*85=6120, Resulting Numbers: [46, 60, 6120]
Generated Node #2: [46, 60, 6120] from Operation: 72*85=6120
Current State: 56:[46, 60, 6120], Operations: ['72*85=6120']
Exploring Operation: 6120/60=102, Resulting Numbers: [46, 102]
Generated Node #3: [46, 102] from Operation: 6120/60=102
Current State: 56:[46, 102], Operations: ['72*85=6120', '6120/60=102']
Exploring Operation: 102-46=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
15,
9,
14,
14
] | 52 | [
"15+9=24",
"14+14=28",
"24+28=52"
] | Current State: 52:[15, 9, 14, 14], Operations: []
Exploring Operation: 15+9=24, Resulting Numbers: [14, 14, 24]
Generated Node #2: [14, 14, 24] from Operation: 15+9=24
Current State: 52:[14, 14, 24], Operations: ['15+9=24']
Exploring Operation: 14+14=28, Resulting Numbers: [24, 28]
Generated Node #3: [24, 28] from Operation: 14+14=28
Current State: 52:[24, 28], Operations: ['15+9=24', '14+14=28']
Exploring Operation: 24+28=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
50,
4,
91,
95
] | 34 | [
"91-50=41",
"95+41=136",
"136/4=34"
] | Current State: 34:[50, 4, 91, 95], Operations: []
Exploring Operation: 91-50=41, Resulting Numbers: [4, 95, 41]
Generated Node #2: [4, 95, 41] from Operation: 91-50=41
Current State: 34:[4, 95, 41], Operations: ['91-50=41']
Exploring Operation: 95+41=136, Resulting Numbers: [4, 136]
Generated Node #3: [4, 136] from Operation: 95+41=136
Current State: 34:[4, 136], Operations: ['91-50=41', '95+41=136']
Exploring Operation: 136/4=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
40,
31,
60,
29
] | 18 | [
"40+31=71",
"60+29=89",
"89-71=18"
] | Current State: 18:[40, 31, 60, 29], Operations: []
Exploring Operation: 40+31=71, Resulting Numbers: [60, 29, 71]
Generated Node #2: [60, 29, 71] from Operation: 40+31=71
Current State: 18:[60, 29, 71], Operations: ['40+31=71']
Exploring Operation: 60+29=89, Resulting Numbers: [71, 89]
Generated Node #3: [71, 89] from Operation: 60+29=89
Current State: 18:[71, 89], Operations: ['40+31=71', '60+29=89']
Exploring Operation: 89-71=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
18,
89,
90,
41
] | 60 | [
"89-18=71",
"90+41=131",
"131-71=60"
] | Current State: 60:[18, 89, 90, 41], Operations: []
Exploring Operation: 89-18=71, Resulting Numbers: [90, 41, 71]
Generated Node #2: [90, 41, 71] from Operation: 89-18=71
Current State: 60:[90, 41, 71], Operations: ['89-18=71']
Exploring Operation: 90+41=131, Resulting Numbers: [71, 131]
Generated Node #3: [71, 131] from Operation: 90+41=131
Current State: 60:[71, 131], Operations: ['89-18=71', '90+41=131']
Exploring Operation: 131-71=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
78,
14,
77,
62
] | 87 | [
"78+62=140",
"140/14=10",
"77+10=87"
] | Current State: 87:[78, 14, 77, 62], Operations: []
Exploring Operation: 78+62=140, Resulting Numbers: [14, 77, 140]
Generated Node #2: [14, 77, 140] from Operation: 78+62=140
Current State: 87:[14, 77, 140], Operations: ['78+62=140']
Exploring Operation: 140/14=10, Resulting Numbers: [77, 10]
Generated Node #3: [77, 10] from Operation: 140/14=10
Current State: 87:[77, 10], Operations: ['78+62=140', '140/14=10']
Exploring Operation: 77+10=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
59,
88,
60,
2
] | 30 | [
"59*2=118",
"88+60=148",
"148-118=30"
] | Current State: 30:[59, 88, 60, 2], Operations: []
Exploring Operation: 59*2=118, Resulting Numbers: [88, 60, 118]
Generated Node #2: [88, 60, 118] from Operation: 59*2=118
Current State: 30:[88, 60, 118], Operations: ['59*2=118']
Exploring Operation: 88+60=148, Resulting Numbers: [118, 148]
Generated Node #3: [118, 148] from Operation: 88+60=148
Current State: 30:[118, 148], Operations: ['59*2=118', '88+60=148']
Exploring Operation: 148-118=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
47,
61,
26,
53
] | 41 | [
"61-47=14",
"53-26=27",
"14+27=41"
] | Current State: 41:[47, 61, 26, 53], Operations: []
Exploring Operation: 61-47=14, Resulting Numbers: [26, 53, 14]
Generated Node #2: [26, 53, 14] from Operation: 61-47=14
Current State: 41:[26, 53, 14], Operations: ['61-47=14']
Exploring Operation: 53-26=27, Resulting Numbers: [14, 27]
Generated Node #3: [14, 27] from Operation: 53-26=27
Current State: 41:[14, 27], Operations: ['61-47=14', '53-26=27']
Exploring Operation: 14+27=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
2,
96,
91,
32
] | 90 | [
"2+91=93",
"96/32=3",
"93-3=90"
] | Current State: 90:[2, 96, 91, 32], Operations: []
Exploring Operation: 2+91=93, Resulting Numbers: [96, 32, 93]
Generated Node #2: [96, 32, 93] from Operation: 2+91=93
Current State: 90:[96, 32, 93], Operations: ['2+91=93']
Exploring Operation: 96/32=3, Resulting Numbers: [93, 3]
Generated Node #3: [93, 3] from Operation: 96/32=3
Current State: 90:[93, 3], Operations: ['2+91=93', '96/32=3']
Exploring Operation: 93-3=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
64,
88,
36,
97
] | 16 | [
"97-88=9",
"64*9=576",
"576/36=16"
] | Current State: 16:[64, 88, 36, 97], Operations: []
Exploring Operation: 97-88=9, Resulting Numbers: [64, 36, 9]
Generated Node #2: [64, 36, 9] from Operation: 97-88=9
Current State: 16:[64, 36, 9], Operations: ['97-88=9']
Exploring Operation: 64*9=576, Resulting Numbers: [36, 576]
Generated Node #3: [36, 576] from Operation: 64*9=576
Current State: 16:[36, 576], Operations: ['97-88=9', '64*9=576']
Exploring Operation: 576/36=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
20,
53,
44,
93
] | 87 | [
"53-44=9",
"20*9=180",
"180-93=87"
] | Current State: 87:[20, 53, 44, 93], Operations: []
Exploring Operation: 53-44=9, Resulting Numbers: [20, 93, 9]
Generated Node #2: [20, 93, 9] from Operation: 53-44=9
Current State: 87:[20, 93, 9], Operations: ['53-44=9']
Exploring Operation: 20*9=180, Resulting Numbers: [93, 180]
Generated Node #3: [93, 180] from Operation: 20*9=180
Current State: 87:[93, 180], Operations: ['53-44=9', '20*9=180']
Exploring Operation: 180-93=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
46,
3,
77,
77
] | 48 | [
"46+3=49",
"77/77=1",
"49-1=48"
] | Current State: 48:[46, 3, 77, 77], Operations: []
Exploring Operation: 46+3=49, Resulting Numbers: [77, 77, 49]
Generated Node #2: [77, 77, 49] from Operation: 46+3=49
Current State: 48:[77, 77, 49], Operations: ['46+3=49']
Exploring Operation: 77/77=1, Resulting Numbers: [49, 1]
Generated Node #3: [49, 1] from Operation: 77/77=1
Current State: 48:[49, 1], Operations: ['46+3=49', '77/77=1']
Exploring Operation: 49-1=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
12,
92,
46,
61
] | 89 | [
"12+92=104",
"61-46=15",
"104-15=89"
] | Current State: 89:[12, 92, 46, 61], Operations: []
Exploring Operation: 12+92=104, Resulting Numbers: [46, 61, 104]
Generated Node #2: [46, 61, 104] from Operation: 12+92=104
Current State: 89:[46, 61, 104], Operations: ['12+92=104']
Exploring Operation: 61-46=15, Resulting Numbers: [104, 15]
Generated Node #3: [104, 15] from Operation: 61-46=15
Current State: 89:[104, 15], Operations: ['12+92=104', '61-46=15']
Exploring Operation: 104-15=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
30,
3,
42,
65
] | 41 | [
"30+42=72",
"72/3=24",
"65-24=41"
] | Current State: 41:[30, 3, 42, 65], Operations: []
Exploring Operation: 30+42=72, Resulting Numbers: [3, 65, 72]
Generated Node #2: [3, 65, 72] from Operation: 30+42=72
Current State: 41:[3, 65, 72], Operations: ['30+42=72']
Exploring Operation: 72/3=24, Resulting Numbers: [65, 24]
Generated Node #3: [65, 24] from Operation: 72/3=24
Current State: 41:[65, 24], Operations: ['30+42=72', '72/3=24']
Exploring Operation: 65-24=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
12,
93,
94,
59
] | 91 | [
"59-12=47",
"94/47=2",
"93-2=91"
] | Current State: 91:[12, 93, 94, 59], Operations: []
Exploring Operation: 59-12=47, Resulting Numbers: [93, 94, 47]
Generated Node #2: [93, 94, 47] from Operation: 59-12=47
Current State: 91:[93, 94, 47], Operations: ['59-12=47']
Exploring Operation: 94/47=2, Resulting Numbers: [93, 2]
Generated Node #3: [93, 2] from Operation: 94/47=2
Current State: 91:[93, 2], Operations: ['59-12=47', '94/47=2']
Exploring Operation: 93-2=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
21,
96,
8,
24
] | 75 | [
"21+96=117",
"8*24=192",
"192-117=75"
] | Current State: 75:[21, 96, 8, 24], Operations: []
Exploring Operation: 21+96=117, Resulting Numbers: [8, 24, 117]
Generated Node #2: [8, 24, 117] from Operation: 21+96=117
Current State: 75:[8, 24, 117], Operations: ['21+96=117']
Exploring Operation: 8*24=192, Resulting Numbers: [117, 192]
Generated Node #3: [117, 192] from Operation: 8*24=192
Current State: 75:[117, 192], Operations: ['21+96=117', '8*24=192']
Exploring Operation: 192-117=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
20,
10,
7,
8
] | 24 | [
"20-10=10",
"10-7=3",
"8*3=24"
] | Current State: 24:[20, 10, 7, 8], Operations: []
Exploring Operation: 20-10=10, Resulting Numbers: [7, 8, 10]
Generated Node #2: [7, 8, 10] from Operation: 20-10=10
Current State: 24:[7, 8, 10], Operations: ['20-10=10']
Exploring Operation: 10-7=3, Resulting Numbers: [8, 3]
Generated Node #3: [8, 3] from Operation: 10-7=3
Current State: 24:[8, 3], Operations: ['20-10=10', '10-7=3']
Exploring Operation: 8*3=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
77,
51,
1,
65
] | 63 | [
"77+51=128",
"1*65=65",
"128-65=63"
] | Current State: 63:[77, 51, 1, 65], Operations: []
Exploring Operation: 77+51=128, Resulting Numbers: [1, 65, 128]
Generated Node #2: [1, 65, 128] from Operation: 77+51=128
Current State: 63:[1, 65, 128], Operations: ['77+51=128']
Exploring Operation: 1*65=65, Resulting Numbers: [128, 65]
Generated Node #3: [128, 65] from Operation: 1*65=65
Current State: 63:[128, 65], Operations: ['77+51=128', '1*65=65']
Exploring Operation: 128-65=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
57,
42,
14,
28
] | 60 | [
"28-14=14",
"42/14=3",
"57+3=60"
] | Current State: 60:[57, 42, 14, 28], Operations: []
Exploring Operation: 28-14=14, Resulting Numbers: [57, 42, 14]
Generated Node #2: [57, 42, 14] from Operation: 28-14=14
Current State: 60:[57, 42, 14], Operations: ['28-14=14']
Exploring Operation: 42/14=3, Resulting Numbers: [57, 3]
Generated Node #3: [57, 3] from Operation: 42/14=3
Current State: 60:[57, 3], Operations: ['28-14=14', '42/14=3']
Exploring Operation: 57+3=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
66,
38,
76,
66
] | 38 | [
"66+38=104",
"76+66=142",
"142-104=38"
] | Current State: 38:[66, 38, 76, 66], Operations: []
Exploring Operation: 66+38=104, Resulting Numbers: [76, 104]
Generated Node #2: [76, 104] from Operation: 66+38=104
Current State: 38:[76, 104], Operations: ['66+38=104']
Exploring Operation: 76+66=142, Resulting Numbers: [104, 142]
Generated Node #3: [104, 142] from Operation: 76+66=142
Current State: 38:[104, 142], Operations: ['66+38=104', '76+66=142']
Exploring Operation: 142-104=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
44,
62,
13,
73
] | 68 | [
"62-44=18",
"13+73=86",
"86-18=68"
] | Current State: 68:[44, 62, 13, 73], Operations: []
Exploring Operation: 62-44=18, Resulting Numbers: [13, 73, 18]
Generated Node #2: [13, 73, 18] from Operation: 62-44=18
Current State: 68:[13, 73, 18], Operations: ['62-44=18']
Exploring Operation: 13+73=86, Resulting Numbers: [18, 86]
Generated Node #3: [18, 86] from Operation: 13+73=86
Current State: 68:[18, 86], Operations: ['62-44=18', '13+73=86']
Exploring Operation: 86-18=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
2,
31,
12,
3
] | 38 | [
"31-2=29",
"12-3=9",
"29+9=38"
] | Current State: 38:[2, 31, 12, 3], Operations: []
Exploring Operation: 31-2=29, Resulting Numbers: [12, 3, 29]
Generated Node #2: [12, 3, 29] from Operation: 31-2=29
Current State: 38:[12, 3, 29], Operations: ['31-2=29']
Exploring Operation: 12-3=9, Resulting Numbers: [29, 9]
Generated Node #3: [29, 9] from Operation: 12-3=9
Current State: 38:[29, 9], Operations: ['31-2=29', '12-3=9']
Exploring Operation: 29+9=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
52,
31,
49,
2
] | 30 | [
"52-31=21",
"49+2=51",
"51-21=30"
] | Current State: 30:[52, 31, 49, 2], Operations: []
Exploring Operation: 52-31=21, Resulting Numbers: [49, 2, 21]
Generated Node #2: [49, 2, 21] from Operation: 52-31=21
Current State: 30:[49, 2, 21], Operations: ['52-31=21']
Exploring Operation: 49+2=51, Resulting Numbers: [21, 51]
Generated Node #3: [21, 51] from Operation: 49+2=51
Current State: 30:[21, 51], Operations: ['52-31=21', '49+2=51']
Exploring Operation: 51-21=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
39,
72,
31,
10
] | 41 | [
"72-10=62",
"62/31=2",
"39+2=41"
] | Current State: 41:[39, 72, 31, 10], Operations: []
Exploring Operation: 72-10=62, Resulting Numbers: [39, 31, 62]
Generated Node #2: [39, 31, 62] from Operation: 72-10=62
Current State: 41:[39, 31, 62], Operations: ['72-10=62']
Exploring Operation: 62/31=2, Resulting Numbers: [39, 2]
Generated Node #3: [39, 2] from Operation: 62/31=2
Current State: 41:[39, 2], Operations: ['72-10=62', '62/31=2']
Exploring Operation: 39+2=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
68,
1,
34,
49
] | 97 | [
"68/34=2",
"49*2=98",
"98-1=97"
] | Current State: 97:[68, 1, 34, 49], Operations: []
Exploring Operation: 68/34=2, Resulting Numbers: [1, 49, 2]
Generated Node #2: [1, 49, 2] from Operation: 68/34=2
Current State: 97:[1, 49, 2], Operations: ['68/34=2']
Exploring Operation: 49*2=98, Resulting Numbers: [1, 98]
Generated Node #3: [1, 98] from Operation: 49*2=98
Current State: 97:[1, 98], Operations: ['68/34=2', '49*2=98']
Exploring Operation: 98-1=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
5,
38,
35,
10
] | 11 | [
"38*10=380",
"5+380=385",
"385/35=11"
] | Current State: 11:[5, 38, 35, 10], Operations: []
Exploring Operation: 38*10=380, Resulting Numbers: [5, 35, 380]
Generated Node #2: [5, 35, 380] from Operation: 38*10=380
Current State: 11:[5, 35, 380], Operations: ['38*10=380']
Exploring Operation: 5+380=385, Resulting Numbers: [35, 385]
Generated Node #3: [35, 385] from Operation: 5+380=385
Current State: 11:[35, 385], Operations: ['38*10=380', '5+380=385']
Exploring Operation: 385/35=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
36,
27,
9,
22
] | 59 | [
"36-27=9",
"9*9=81",
"81-22=59"
] | Current State: 59:[36, 27, 9, 22], Operations: []
Exploring Operation: 36-27=9, Resulting Numbers: [9, 22, 9]
Generated Node #2: [9, 22, 9] from Operation: 36-27=9
Current State: 59:[9, 22, 9], Operations: ['36-27=9']
Exploring Operation: 9*9=81, Resulting Numbers: [22, 81]
Generated Node #3: [22, 81] from Operation: 9*9=81
Current State: 59:[22, 81], Operations: ['36-27=9', '9*9=81']
Exploring Operation: 81-22=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
22,
44,
6,
76
] | 87 | [
"22+44=66",
"66/6=11",
"76+11=87"
] | Current State: 87:[22, 44, 6, 76], Operations: []
Exploring Operation: 22+44=66, Resulting Numbers: [6, 76, 66]
Generated Node #2: [6, 76, 66] from Operation: 22+44=66
Current State: 87:[6, 76, 66], Operations: ['22+44=66']
Exploring Operation: 66/6=11, Resulting Numbers: [76, 11]
Generated Node #3: [76, 11] from Operation: 66/6=11
Current State: 87:[76, 11], Operations: ['22+44=66', '66/6=11']
Exploring Operation: 76+11=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
32,
31,
8,
41
] | 24 | [
"32*31=992",
"992-8=984",
"984/41=24"
] | Current State: 24:[32, 31, 8, 41], Operations: []
Exploring Operation: 32*31=992, Resulting Numbers: [8, 41, 992]
Generated Node #2: [8, 41, 992] from Operation: 32*31=992
Current State: 24:[8, 41, 992], Operations: ['32*31=992']
Exploring Operation: 992-8=984, Resulting Numbers: [41, 984]
Generated Node #3: [41, 984] from Operation: 992-8=984
Current State: 24:[41, 984], Operations: ['32*31=992', '992-8=984']
Exploring Operation: 984/41=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
31,
7,
3,
13
] | 33 | [
"31-7=24",
"24-13=11",
"3*11=33"
] | Current State: 33:[31, 7, 3, 13], Operations: []
Exploring Operation: 31-7=24, Resulting Numbers: [3, 13, 24]
Generated Node #2: [3, 13, 24] from Operation: 31-7=24
Current State: 33:[3, 13, 24], Operations: ['31-7=24']
Exploring Operation: 24-13=11, Resulting Numbers: [3, 11]
Generated Node #3: [3, 11] from Operation: 24-13=11
Current State: 33:[3, 11], Operations: ['31-7=24', '24-13=11']
Exploring Operation: 3*11=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
13,
12,
71,
9
] | 16 | [
"13+71=84",
"84/12=7",
"9+7=16"
] | Current State: 16:[13, 12, 71, 9], Operations: []
Exploring Operation: 13+71=84, Resulting Numbers: [12, 9, 84]
Generated Node #2: [12, 9, 84] from Operation: 13+71=84
Current State: 16:[12, 9, 84], Operations: ['13+71=84']
Exploring Operation: 84/12=7, Resulting Numbers: [9, 7]
Generated Node #3: [9, 7] from Operation: 84/12=7
Current State: 16:[9, 7], Operations: ['13+71=84', '84/12=7']
Exploring Operation: 9+7=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
29,
25,
55,
49
] | 49 | [
"29+25=54",
"55-54=1",
"49*1=49"
] | Current State: 49:[29, 25, 55, 49], Operations: []
Exploring Operation: 29+25=54, Resulting Numbers: [55, 49, 54]
Generated Node #2: [55, 49, 54] from Operation: 29+25=54
Current State: 49:[55, 49, 54], Operations: ['29+25=54']
Exploring Operation: 55-54=1, Resulting Numbers: [49, 1]
Generated Node #3: [49, 1] from Operation: 55-54=1
Current State: 49:[49, 1], Operations: ['29+25=54', '55-54=1']
Exploring Operation: 49*1=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
5,
99,
2,
26
] | 91 | [
"5+99=104",
"26/2=13",
"104-13=91"
] | Current State: 91:[5, 99, 2, 26], Operations: []
Exploring Operation: 5+99=104, Resulting Numbers: [2, 26, 104]
Generated Node #2: [2, 26, 104] from Operation: 5+99=104
Current State: 91:[2, 26, 104], Operations: ['5+99=104']
Exploring Operation: 26/2=13, Resulting Numbers: [104, 13]
Generated Node #3: [104, 13] from Operation: 26/2=13
Current State: 91:[104, 13], Operations: ['5+99=104', '26/2=13']
Exploring Operation: 104-13=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
1,
80,
38,
17
] | 58 | [
"80-1=79",
"38-17=21",
"79-21=58"
] | Current State: 58:[1, 80, 38, 17], Operations: []
Exploring Operation: 80-1=79, Resulting Numbers: [38, 17, 79]
Generated Node #2: [38, 17, 79] from Operation: 80-1=79
Current State: 58:[38, 17, 79], Operations: ['80-1=79']
Exploring Operation: 38-17=21, Resulting Numbers: [79, 21]
Generated Node #3: [79, 21] from Operation: 38-17=21
Current State: 58:[79, 21], Operations: ['80-1=79', '38-17=21']
Exploring Operation: 79-21=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
86,
9,
3,
11
] | 86 | [
"9+3=12",
"12-11=1",
"86*1=86"
] | Current State: 86:[86, 9, 3, 11], Operations: []
Exploring Operation: 9+3=12, Resulting Numbers: [86, 11, 12]
Generated Node #2: [86, 11, 12] from Operation: 9+3=12
Current State: 86:[86, 11, 12], Operations: ['9+3=12']
Exploring Operation: 12-11=1, Resulting Numbers: [86, 1]
Generated Node #3: [86, 1] from Operation: 12-11=1
Current State: 86:[86, 1], Operations: ['9+3=12', '12-11=1']
Exploring Operation: 86*1=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
42,
53,
55,
56
] | 35 | [
"55-53=2",
"42/2=21",
"56-21=35"
] | Current State: 35:[42, 53, 55, 56], Operations: []
Exploring Operation: 55-53=2, Resulting Numbers: [42, 56, 2]
Generated Node #2: [42, 56, 2] from Operation: 55-53=2
Current State: 35:[42, 56, 2], Operations: ['55-53=2']
Exploring Operation: 42/2=21, Resulting Numbers: [56, 21]
Generated Node #3: [56, 21] from Operation: 42/2=21
Current State: 35:[56, 21], Operations: ['55-53=2', '42/2=21']
Exploring Operation: 56-21=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
25,
75,
6,
83
] | 57 | [
"25+83=108",
"108/6=18",
"75-18=57"
] | Current State: 57:[25, 75, 6, 83], Operations: []
Exploring Operation: 25+83=108, Resulting Numbers: [75, 6, 108]
Generated Node #2: [75, 6, 108] from Operation: 25+83=108
Current State: 57:[75, 6, 108], Operations: ['25+83=108']
Exploring Operation: 108/6=18, Resulting Numbers: [75, 18]
Generated Node #3: [75, 18] from Operation: 108/6=18
Current State: 57:[75, 18], Operations: ['25+83=108', '108/6=18']
Exploring Operation: 75-18=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
81,
85,
78,
60
] | 14 | [
"85-81=4",
"78-60=18",
"18-4=14"
] | Current State: 14:[81, 85, 78, 60], Operations: []
Exploring Operation: 85-81=4, Resulting Numbers: [78, 60, 4]
Generated Node #2: [78, 60, 4] from Operation: 85-81=4
Current State: 14:[78, 60, 4], Operations: ['85-81=4']
Exploring Operation: 78-60=18, Resulting Numbers: [4, 18]
Generated Node #3: [4, 18] from Operation: 78-60=18
Current State: 14:[4, 18], Operations: ['85-81=4', '78-60=18']
Exploring Operation: 18-4=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
58,
97,
1,
58
] | 99 | [
"58/58=1",
"97+1=98",
"1+98=99"
] | Current State: 99:[58, 97, 1, 58], Operations: []
Exploring Operation: 58/58=1, Resulting Numbers: [97, 1, 1]
Generated Node #2: [97, 1, 1] from Operation: 58/58=1
Current State: 99:[97, 1, 1], Operations: ['58/58=1']
Exploring Operation: 97+1=98, Resulting Numbers: [98]
98,99 equal: Goal Reached
Exploring Operation: 1+98=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
99,
42,
14,
58
] | 38 | [
"99-58=41",
"42/14=3",
"41-3=38"
] | Current State: 38:[99, 42, 14, 58], Operations: []
Exploring Operation: 99-58=41, Resulting Numbers: [42, 14, 41]
Generated Node #2: [42, 14, 41] from Operation: 99-58=41
Current State: 38:[42, 14, 41], Operations: ['99-58=41']
Exploring Operation: 42/14=3, Resulting Numbers: [41, 3]
Generated Node #3: [41, 3] from Operation: 42/14=3
Current State: 38:[41, 3], Operations: ['99-58=41', '42/14=3']
Exploring Operation: 41-3=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
3,
43,
56,
20
] | 53 | [
"3*43=129",
"56+20=76",
"129-76=53"
] | Current State: 53:[3, 43, 56, 20], Operations: []
Exploring Operation: 3*43=129, Resulting Numbers: [56, 20, 129]
Generated Node #2: [56, 20, 129] from Operation: 3*43=129
Current State: 53:[56, 20, 129], Operations: ['3*43=129']
Exploring Operation: 56+20=76, Resulting Numbers: [129, 76]
Generated Node #3: [129, 76] from Operation: 56+20=76
Current State: 53:[129, 76], Operations: ['3*43=129', '56+20=76']
Exploring Operation: 129-76=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
72,
24,
76,
4
] | 31 | [
"72-24=48",
"76+48=124",
"124/4=31"
] | Current State: 31:[72, 24, 76, 4], Operations: []
Exploring Operation: 72-24=48, Resulting Numbers: [76, 4, 48]
Generated Node #2: [76, 4, 48] from Operation: 72-24=48
Current State: 31:[76, 4, 48], Operations: ['72-24=48']
Exploring Operation: 76+48=124, Resulting Numbers: [4, 124]
Generated Node #3: [4, 124] from Operation: 76+48=124
Current State: 31:[4, 124], Operations: ['72-24=48', '76+48=124']
Exploring Operation: 124/4=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
76,
26,
57,
70
] | 63 | [
"76-26=50",
"70-57=13",
"50+13=63"
] | Current State: 63:[76, 26, 57, 70], Operations: []
Exploring Operation: 76-26=50, Resulting Numbers: [57, 70, 50]
Generated Node #2: [57, 70, 50] from Operation: 76-26=50
Current State: 63:[57, 70, 50], Operations: ['76-26=50']
Exploring Operation: 70-57=13, Resulting Numbers: [50, 13]
Generated Node #3: [50, 13] from Operation: 70-57=13
Current State: 63:[50, 13], Operations: ['76-26=50', '70-57=13']
Exploring Operation: 50+13=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
10,
42,
85,
35
] | 92 | [
"42*85=3570",
"3570/35=102",
"102-10=92"
] | Current State: 92:[10, 42, 85, 35], Operations: []
Exploring Operation: 42*85=3570, Resulting Numbers: [10, 35, 3570]
Generated Node #2: [10, 35, 3570] from Operation: 42*85=3570
Current State: 92:[10, 35, 3570], Operations: ['42*85=3570']
Exploring Operation: 3570/35=102, Resulting Numbers: [10, 102]
Generated Node #3: [10, 102] from Operation: 3570/35=102
Current State: 92:[10, 102], Operations: ['42*85=3570', '3570/35=102']
Exploring Operation: 102-10=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
7,
4,
17,
96
] | 95 | [
"7*17=119",
"96/4=24",
"119-24=95"
] | Current State: 95:[7, 4, 17, 96], Operations: []
Exploring Operation: 7*17=119, Resulting Numbers: [4, 96, 119]
Generated Node #2: [4, 96, 119] from Operation: 7*17=119
Current State: 95:[4, 96, 119], Operations: ['7*17=119']
Exploring Operation: 96/4=24, Resulting Numbers: [119, 24]
Generated Node #3: [119, 24] from Operation: 96/4=24
Current State: 95:[119, 24], Operations: ['7*17=119', '96/4=24']
Exploring Operation: 119-24=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
62,
31,
64,
35
] | 33 | [
"64-62=2",
"31+35=66",
"66/2=33"
] | Current State: 33:[62, 31, 64, 35], Operations: []
Exploring Operation: 64-62=2, Resulting Numbers: [31, 35, 2]
Generated Node #2: [31, 35, 2] from Operation: 64-62=2
Current State: 33:[31, 35, 2], Operations: ['64-62=2']
Exploring Operation: 31+35=66, Resulting Numbers: [2, 66]
Generated Node #3: [2, 66] from Operation: 31+35=66
Current State: 33:[2, 66], Operations: ['64-62=2', '31+35=66']
Exploring Operation: 66/2=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
89,
82,
33,
7
] | 19 | [
"89-82=7",
"33-7=26",
"26-7=19"
] | Current State: 19:[89, 82, 33, 7], Operations: []
Exploring Operation: 89-82=7, Resulting Numbers: [33, 7, 7]
Generated Node #2: [33, 7, 7] from Operation: 89-82=7
Current State: 19:[33, 7, 7], Operations: ['89-82=7']
Exploring Operation: 33-7=26, Resulting Numbers: [26]
26,19 equal: Goal Reached
Exploring Operation: 26-7=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
12,
42,
42,
21
] | 96 | [
"42*42=1764",
"1764/21=84",
"12+84=96"
] | Current State: 96:[12, 42, 42, 21], Operations: []
Exploring Operation: 42*42=1764, Resulting Numbers: [12, 21, 1764]
Generated Node #2: [12, 21, 1764] from Operation: 42*42=1764
Current State: 96:[12, 21, 1764], Operations: ['42*42=1764']
Exploring Operation: 1764/21=84, Resulting Numbers: [12, 84]
Generated Node #3: [12, 84] from Operation: 1764/21=84
Current State: 96:[12, 84], Operations: ['42*42=1764', '1764/21=84']
Exploring Operation: 12+84=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
21,
60,
53,
16
] | 91 | [
"60-53=7",
"16*7=112",
"112-21=91"
] | Current State: 91:[21, 60, 53, 16], Operations: []
Exploring Operation: 60-53=7, Resulting Numbers: [21, 16, 7]
Generated Node #2: [21, 16, 7] from Operation: 60-53=7
Current State: 91:[21, 16, 7], Operations: ['60-53=7']
Exploring Operation: 16*7=112, Resulting Numbers: [21, 112]
Generated Node #3: [21, 112] from Operation: 16*7=112
Current State: 91:[21, 112], Operations: ['60-53=7', '16*7=112']
Exploring Operation: 112-21=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
29,
42,
78,
1
] | 65 | [
"42-29=13",
"78*1=78",
"78-13=65"
] | Current State: 65:[29, 42, 78, 1], Operations: []
Exploring Operation: 42-29=13, Resulting Numbers: [78, 1, 13]
Generated Node #2: [78, 1, 13] from Operation: 42-29=13
Current State: 65:[78, 1, 13], Operations: ['42-29=13']
Exploring Operation: 78*1=78, Resulting Numbers: [13, 78]
Generated Node #3: [13, 78] from Operation: 78*1=78
Current State: 65:[13, 78], Operations: ['42-29=13', '78*1=78']
Exploring Operation: 78-13=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
48,
56,
64,
91
] | 77 | [
"48+56=104",
"91-64=27",
"104-27=77"
] | Current State: 77:[48, 56, 64, 91], Operations: []
Exploring Operation: 48+56=104, Resulting Numbers: [64, 91, 104]
Generated Node #2: [64, 91, 104] from Operation: 48+56=104
Current State: 77:[64, 91, 104], Operations: ['48+56=104']
Exploring Operation: 91-64=27, Resulting Numbers: [104, 27]
Generated Node #3: [104, 27] from Operation: 91-64=27
Current State: 77:[104, 27], Operations: ['48+56=104', '91-64=27']
Exploring Operation: 104-27=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
16,
9,
44,
34
] | 53 | [
"16+9=25",
"44+34=78",
"78-25=53"
] | Current State: 53:[16, 9, 44, 34], Operations: []
Exploring Operation: 16+9=25, Resulting Numbers: [44, 34, 25]
Generated Node #2: [44, 34, 25] from Operation: 16+9=25
Current State: 53:[44, 34, 25], Operations: ['16+9=25']
Exploring Operation: 44+34=78, Resulting Numbers: [25, 78]
Generated Node #3: [25, 78] from Operation: 44+34=78
Current State: 53:[25, 78], Operations: ['16+9=25', '44+34=78']
Exploring Operation: 78-25=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
57,
26,
95,
87
] | 99 | [
"57+26=83",
"95+87=182",
"182-83=99"
] | Current State: 99:[57, 26, 95, 87], Operations: []
Exploring Operation: 57+26=83, Resulting Numbers: [95, 87, 83]
Generated Node #2: [95, 87, 83] from Operation: 57+26=83
Current State: 99:[95, 87, 83], Operations: ['57+26=83']
Exploring Operation: 95+87=182, Resulting Numbers: [83, 182]
Generated Node #3: [83, 182] from Operation: 95+87=182
Current State: 99:[83, 182], Operations: ['57+26=83', '95+87=182']
Exploring Operation: 182-83=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
3,
84,
84,
23
] | 70 | [
"3*23=69",
"84/84=1",
"69+1=70"
] | Current State: 70:[3, 84, 84, 23], Operations: []
Exploring Operation: 3*23=69, Resulting Numbers: [84, 84, 69]
Generated Node #2: [84, 84, 69] from Operation: 3*23=69
Current State: 70:[84, 84, 69], Operations: ['3*23=69']
Exploring Operation: 84/84=1, Resulting Numbers: [69, 1]
Generated Node #3: [69, 1] from Operation: 84/84=1
Current State: 70:[69, 1], Operations: ['3*23=69', '84/84=1']
Exploring Operation: 69+1=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
8,
36,
11,
80
] | 37 | [
"80/8=10",
"36+11=47",
"47-10=37"
] | Current State: 37:[8, 36, 11, 80], Operations: []
Exploring Operation: 80/8=10, Resulting Numbers: [36, 11, 10]
Generated Node #2: [36, 11, 10] from Operation: 80/8=10
Current State: 37:[36, 11, 10], Operations: ['80/8=10']
Exploring Operation: 36+11=47, Resulting Numbers: [10, 47]
Generated Node #3: [10, 47] from Operation: 36+11=47
Current State: 37:[10, 47], Operations: ['80/8=10', '36+11=47']
Exploring Operation: 47-10=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
97,
34,
35,
13
] | 99 | [
"34*35=1190",
"97+1190=1287",
"1287/13=99"
] | Current State: 99:[97, 34, 35, 13], Operations: []
Exploring Operation: 34*35=1190, Resulting Numbers: [97, 13, 1190]
Generated Node #2: [97, 13, 1190] from Operation: 34*35=1190
Current State: 99:[97, 13, 1190], Operations: ['34*35=1190']
Exploring Operation: 97+1190=1287, Resulting Numbers: [13, 1287]
Generated Node #3: [13, 1287] from Operation: 97+1190=1287
Current State: 99:[13, 1287], Operations: ['34*35=1190', '97+1190=1287']
Exploring Operation: 1287/13=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
33,
26,
45,
86
] | 83 | [
"33+45=78",
"78/26=3",
"86-3=83"
] | Current State: 83:[33, 26, 45, 86], Operations: []
Exploring Operation: 33+45=78, Resulting Numbers: [26, 86, 78]
Generated Node #2: [26, 86, 78] from Operation: 33+45=78
Current State: 83:[26, 86, 78], Operations: ['33+45=78']
Exploring Operation: 78/26=3, Resulting Numbers: [86, 3]
Generated Node #3: [86, 3] from Operation: 78/26=3
Current State: 83:[86, 3], Operations: ['33+45=78', '78/26=3']
Exploring Operation: 86-3=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
66,
25,
87,
82
] | 61 | [
"87-82=5",
"25/5=5",
"66-5=61"
] | Current State: 61:[66, 25, 87, 82], Operations: []
Exploring Operation: 87-82=5, Resulting Numbers: [66, 25, 5]
Generated Node #2: [66, 25, 5] from Operation: 87-82=5
Current State: 61:[66, 25, 5], Operations: ['87-82=5']
Exploring Operation: 25/5=5, Resulting Numbers: [66, 5]
Generated Node #3: [66, 5] from Operation: 25/5=5
Current State: 61:[66, 5], Operations: ['87-82=5', '25/5=5']
Exploring Operation: 66-5=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
20,
3,
63,
37
] | 28 | [
"20+63=83",
"3*37=111",
"111-83=28"
] | Current State: 28:[20, 3, 63, 37], Operations: []
Exploring Operation: 20+63=83, Resulting Numbers: [3, 37, 83]
Generated Node #2: [3, 37, 83] from Operation: 20+63=83
Current State: 28:[3, 37, 83], Operations: ['20+63=83']
Exploring Operation: 3*37=111, Resulting Numbers: [83, 111]
Generated Node #3: [83, 111] from Operation: 3*37=111
Current State: 28:[83, 111], Operations: ['20+63=83', '3*37=111']
Exploring Operation: 111-83=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
18,
31,
20,
35
] | 64 | [
"18+31=49",
"35-20=15",
"49+15=64"
] | Current State: 64:[18, 31, 20, 35], Operations: []
Exploring Operation: 18+31=49, Resulting Numbers: [20, 35, 49]
Generated Node #2: [20, 35, 49] from Operation: 18+31=49
Current State: 64:[20, 35, 49], Operations: ['18+31=49']
Exploring Operation: 35-20=15, Resulting Numbers: [49, 15]
Generated Node #3: [49, 15] from Operation: 35-20=15
Current State: 64:[49, 15], Operations: ['18+31=49', '35-20=15']
Exploring Operation: 49+15=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
63,
41,
88,
66
] | 50 | [
"63+41=104",
"88+66=154",
"154-104=50"
] | Current State: 50:[63, 41, 88, 66], Operations: []
Exploring Operation: 63+41=104, Resulting Numbers: [88, 66, 104]
Generated Node #2: [88, 66, 104] from Operation: 63+41=104
Current State: 50:[88, 66, 104], Operations: ['63+41=104']
Exploring Operation: 88+66=154, Resulting Numbers: [104, 154]
Generated Node #3: [104, 154] from Operation: 88+66=154
Current State: 50:[104, 154], Operations: ['63+41=104', '88+66=154']
Exploring Operation: 154-104=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
30,
52,
1,
89
] | 66 | [
"52-30=22",
"89-1=88",
"88-22=66"
] | Current State: 66:[30, 52, 1, 89], Operations: []
Exploring Operation: 52-30=22, Resulting Numbers: [1, 89, 22]
Generated Node #2: [1, 89, 22] from Operation: 52-30=22
Current State: 66:[1, 89, 22], Operations: ['52-30=22']
Exploring Operation: 89-1=88, Resulting Numbers: [22, 88]
Generated Node #3: [22, 88] from Operation: 89-1=88
Current State: 66:[22, 88], Operations: ['52-30=22', '89-1=88']
Exploring Operation: 88-22=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
59,
61,
94,
57
] | 20 | [
"61-59=2",
"57*2=114",
"114-94=20"
] | Current State: 20:[59, 61, 94, 57], Operations: []
Exploring Operation: 61-59=2, Resulting Numbers: [94, 57, 2]
Generated Node #2: [94, 57, 2] from Operation: 61-59=2
Current State: 20:[94, 57, 2], Operations: ['61-59=2']
Exploring Operation: 57*2=114, Resulting Numbers: [94, 114]
Generated Node #3: [94, 114] from Operation: 57*2=114
Current State: 20:[94, 114], Operations: ['61-59=2', '57*2=114']
Exploring Operation: 114-94=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
41,
4,
50,
38
] | 19 | [
"50+38=88",
"88/4=22",
"41-22=19"
] | Current State: 19:[41, 4, 50, 38], Operations: []
Exploring Operation: 50+38=88, Resulting Numbers: [41, 4, 88]
Generated Node #2: [41, 4, 88] from Operation: 50+38=88
Current State: 19:[41, 4, 88], Operations: ['50+38=88']
Exploring Operation: 88/4=22, Resulting Numbers: [41, 22]
Generated Node #3: [41, 22] from Operation: 88/4=22
Current State: 19:[41, 22], Operations: ['50+38=88', '88/4=22']
Exploring Operation: 41-22=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
55,
2,
80,
44
] | 59 | [
"55+44=99",
"80/2=40",
"99-40=59"
] | Current State: 59:[55, 2, 80, 44], Operations: []
Exploring Operation: 55+44=99, Resulting Numbers: [2, 80, 99]
Generated Node #2: [2, 80, 99] from Operation: 55+44=99
Current State: 59:[2, 80, 99], Operations: ['55+44=99']
Exploring Operation: 80/2=40, Resulting Numbers: [99, 40]
Generated Node #3: [99, 40] from Operation: 80/2=40
Current State: 59:[99, 40], Operations: ['55+44=99', '80/2=40']
Exploring Operation: 99-40=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
36,
45,
1,
75
] | 85 | [
"45-36=9",
"1+75=76",
"9+76=85"
] | Current State: 85:[36, 45, 1, 75], Operations: []
Exploring Operation: 45-36=9, Resulting Numbers: [1, 75, 9]
Generated Node #2: [1, 75, 9] from Operation: 45-36=9
Current State: 85:[1, 75, 9], Operations: ['45-36=9']
Exploring Operation: 1+75=76, Resulting Numbers: [9, 76]
Generated Node #3: [9, 76] from Operation: 1+75=76
Current State: 85:[9, 76], Operations: ['45-36=9', '1+75=76']
Exploring Operation: 9+76=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
76,
70,
82,
43
] | 33 | [
"76-70=6",
"82-43=39",
"39-6=33"
] | Current State: 33:[76, 70, 82, 43], Operations: []
Exploring Operation: 76-70=6, Resulting Numbers: [82, 43, 6]
Generated Node #2: [82, 43, 6] from Operation: 76-70=6
Current State: 33:[82, 43, 6], Operations: ['76-70=6']
Exploring Operation: 82-43=39, Resulting Numbers: [6, 39]
Generated Node #3: [6, 39] from Operation: 82-43=39
Current State: 33:[6, 39], Operations: ['76-70=6', '82-43=39']
Exploring Operation: 39-6=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
47,
60,
52,
14
] | 39 | [
"60+52=112",
"112/14=8",
"47-8=39"
] | Current State: 39:[47, 60, 52, 14], Operations: []
Exploring Operation: 60+52=112, Resulting Numbers: [47, 14, 112]
Generated Node #2: [47, 14, 112] from Operation: 60+52=112
Current State: 39:[47, 14, 112], Operations: ['60+52=112']
Exploring Operation: 112/14=8, Resulting Numbers: [47, 8]
Generated Node #3: [47, 8] from Operation: 112/14=8
Current State: 39:[47, 8], Operations: ['60+52=112', '112/14=8']
Exploring Operation: 47-8=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
90,
19,
54,
57
] | 33 | [
"90-54=36",
"57/19=3",
"36-3=33"
] | Current State: 33:[90, 19, 54, 57], Operations: []
Exploring Operation: 90-54=36, Resulting Numbers: [19, 57, 36]
Generated Node #2: [19, 57, 36] from Operation: 90-54=36
Current State: 33:[19, 57, 36], Operations: ['90-54=36']
Exploring Operation: 57/19=3, Resulting Numbers: [36, 3]
Generated Node #3: [36, 3] from Operation: 57/19=3
Current State: 33:[36, 3], Operations: ['90-54=36', '57/19=3']
Exploring Operation: 36-3=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
55,
86,
20,
5
] | 16 | [
"86-55=31",
"20-5=15",
"31-15=16"
] | Current State: 16:[55, 86, 20, 5], Operations: []
Exploring Operation: 86-55=31, Resulting Numbers: [20, 5, 31]
Generated Node #2: [20, 5, 31] from Operation: 86-55=31
Current State: 16:[20, 5, 31], Operations: ['86-55=31']
Exploring Operation: 20-5=15, Resulting Numbers: [31, 15]
Generated Node #3: [31, 15] from Operation: 20-5=15
Current State: 16:[31, 15], Operations: ['86-55=31', '20-5=15']
Exploring Operation: 31-15=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
67,
4,
77,
70
] | 64 | [
"67+4=71",
"77-70=7",
"71-7=64"
] | Current State: 64:[67, 4, 77, 70], Operations: []
Exploring Operation: 67+4=71, Resulting Numbers: [77, 70, 71]
Generated Node #2: [77, 70, 71] from Operation: 67+4=71
Current State: 64:[77, 70, 71], Operations: ['67+4=71']
Exploring Operation: 77-70=7, Resulting Numbers: [71, 7]
Generated Node #3: [71, 7] from Operation: 77-70=7
Current State: 64:[71, 7], Operations: ['67+4=71', '77-70=7']
Exploring Operation: 71-7=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
64,
77,
76,
20
] | 84 | [
"64+76=140",
"140/20=7",
"77+7=84"
] | Current State: 84:[64, 77, 76, 20], Operations: []
Exploring Operation: 64+76=140, Resulting Numbers: [77, 20, 140]
Generated Node #2: [77, 20, 140] from Operation: 64+76=140
Current State: 84:[77, 20, 140], Operations: ['64+76=140']
Exploring Operation: 140/20=7, Resulting Numbers: [77, 7]
Generated Node #3: [77, 7] from Operation: 140/20=7
Current State: 84:[77, 7], Operations: ['64+76=140', '140/20=7']
Exploring Operation: 77+7=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
84,
17,
70,
27
] | 58 | [
"84+17=101",
"70-27=43",
"101-43=58"
] | Current State: 58:[84, 17, 70, 27], Operations: []
Exploring Operation: 84+17=101, Resulting Numbers: [70, 27, 101]
Generated Node #2: [70, 27, 101] from Operation: 84+17=101
Current State: 58:[70, 27, 101], Operations: ['84+17=101']
Exploring Operation: 70-27=43, Resulting Numbers: [101, 43]
Generated Node #3: [101, 43] from Operation: 70-27=43
Current State: 58:[101, 43], Operations: ['84+17=101', '70-27=43']
Exploring Operation: 101-43=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
30,
10,
63,
28
] | 71 | [
"30-10=20",
"63+28=91",
"91-20=71"
] | Current State: 71:[30, 10, 63, 28], Operations: []
Exploring Operation: 30-10=20, Resulting Numbers: [63, 28, 20]
Generated Node #2: [63, 28, 20] from Operation: 30-10=20
Current State: 71:[63, 28, 20], Operations: ['30-10=20']
Exploring Operation: 63+28=91, Resulting Numbers: [20, 91]
Generated Node #3: [20, 91] from Operation: 63+28=91
Current State: 71:[20, 91], Operations: ['30-10=20', '63+28=91']
Exploring Operation: 91-20=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
9,
79,
41,
78
] | 31 | [
"9+79=88",
"41+78=119",
"119-88=31"
] | Current State: 31:[9, 79, 41, 78], Operations: []
Exploring Operation: 9+79=88, Resulting Numbers: [41, 78, 88]
Generated Node #2: [41, 78, 88] from Operation: 9+79=88
Current State: 31:[41, 78, 88], Operations: ['9+79=88']
Exploring Operation: 41+78=119, Resulting Numbers: [88, 119]
Generated Node #3: [88, 119] from Operation: 41+78=119
Current State: 31:[88, 119], Operations: ['9+79=88', '41+78=119']
Exploring Operation: 119-88=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
1,
14,
15,
18
] | 47 | [
"1*14=14",
"15+18=33",
"14+33=47"
] | Current State: 47:[1, 14, 15, 18], Operations: []
Exploring Operation: 1*14=14, Resulting Numbers: [15, 18, 14]
Generated Node #2: [15, 18, 14] from Operation: 1*14=14
Current State: 47:[15, 18, 14], Operations: ['1*14=14']
Exploring Operation: 15+18=33, Resulting Numbers: [14, 33]
Generated Node #3: [14, 33] from Operation: 15+18=33
Current State: 47:[14, 33], Operations: ['1*14=14', '15+18=33']
Exploring Operation: 14+33=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
70,
27,
49,
35
] | 29 | [
"70-27=43",
"49-35=14",
"43-14=29"
] | Current State: 29:[70, 27, 49, 35], Operations: []
Exploring Operation: 70-27=43, Resulting Numbers: [49, 35, 43]
Generated Node #2: [49, 35, 43] from Operation: 70-27=43
Current State: 29:[49, 35, 43], Operations: ['70-27=43']
Exploring Operation: 49-35=14, Resulting Numbers: [43, 14]
Generated Node #3: [43, 14] from Operation: 49-35=14
Current State: 29:[43, 14], Operations: ['70-27=43', '49-35=14']
Exploring Operation: 43-14=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
83,
23,
12,
59
] | 25 | [
"83-59=24",
"24/12=2",
"23+2=25"
] | Current State: 25:[83, 23, 12, 59], Operations: []
Exploring Operation: 83-59=24, Resulting Numbers: [23, 12, 24]
Generated Node #2: [23, 12, 24] from Operation: 83-59=24
Current State: 25:[23, 12, 24], Operations: ['83-59=24']
Exploring Operation: 24/12=2, Resulting Numbers: [23, 2]
Generated Node #3: [23, 2] from Operation: 24/12=2
Current State: 25:[23, 2], Operations: ['83-59=24', '24/12=2']
Exploring Operation: 23+2=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
6,
99,
66,
65
] | 74 | [
"6*99=594",
"594/66=9",
"65+9=74"
] | Current State: 74:[6, 99, 66, 65], Operations: []
Exploring Operation: 6*99=594, Resulting Numbers: [66, 65, 594]
Generated Node #2: [66, 65, 594] from Operation: 6*99=594
Current State: 74:[66, 65, 594], Operations: ['6*99=594']
Exploring Operation: 594/66=9, Resulting Numbers: [65, 9]
Generated Node #3: [65, 9] from Operation: 594/66=9
Current State: 74:[65, 9], Operations: ['6*99=594', '594/66=9']
Exploring Operation: 65+9=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
52,
24,
97,
81
] | 44 | [
"52-24=28",
"97-81=16",
"28+16=44"
] | Current State: 44:[52, 24, 97, 81], Operations: []
Exploring Operation: 52-24=28, Resulting Numbers: [97, 81, 28]
Generated Node #2: [97, 81, 28] from Operation: 52-24=28
Current State: 44:[97, 81, 28], Operations: ['52-24=28']
Exploring Operation: 97-81=16, Resulting Numbers: [28, 16]
Generated Node #3: [28, 16] from Operation: 97-81=16
Current State: 44:[28, 16], Operations: ['52-24=28', '97-81=16']
Exploring Operation: 28+16=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
79,
67,
20,
67
] | 79 | [
"67-67=0",
"20*0=0",
"79+0=79"
] | Current State: 79:[79, 67, 20, 67], Operations: []
Exploring Operation: 67-67=0, Resulting Numbers: [79, 20, 0]
Generated Node #2: [79, 20, 0] from Operation: 67-67=0
Current State: 79:[79, 20, 0], Operations: ['67-67=0']
Exploring Operation: 20*0=0, Resulting Numbers: [79, 0]
Generated Node #3: [79, 0] from Operation: 20*0=0
Current State: 79:[79, 0], Operations: ['67-67=0', '20*0=0']
Exploring Operation: 79+0=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
27,
34,
78,
28
] | 84 | [
"34-28=6",
"27*6=162",
"162-78=84"
] | Current State: 84:[27, 34, 78, 28], Operations: []
Exploring Operation: 34-28=6, Resulting Numbers: [27, 78, 6]
Generated Node #2: [27, 78, 6] from Operation: 34-28=6
Current State: 84:[27, 78, 6], Operations: ['34-28=6']
Exploring Operation: 27*6=162, Resulting Numbers: [78, 162]
Generated Node #3: [78, 162] from Operation: 27*6=162
Current State: 84:[78, 162], Operations: ['34-28=6', '27*6=162']
Exploring Operation: 162-78=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
4,
7,
60,
42
] | 29 | [
"4+7=11",
"60-42=18",
"11+18=29"
] | Current State: 29:[4, 7, 60, 42], Operations: []
Exploring Operation: 4+7=11, Resulting Numbers: [60, 42, 11]
Generated Node #2: [60, 42, 11] from Operation: 4+7=11
Current State: 29:[60, 42, 11], Operations: ['4+7=11']
Exploring Operation: 60-42=18, Resulting Numbers: [11, 18]
Generated Node #3: [11, 18] from Operation: 60-42=18
Current State: 29:[11, 18], Operations: ['4+7=11', '60-42=18']
Exploring Operation: 11+18=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
4,
84,
22,
3
] | 16 | [
"22+3=25",
"4*25=100",
"100-84=16"
] | Current State: 16:[4, 84, 22, 3], Operations: []
Exploring Operation: 22+3=25, Resulting Numbers: [4, 84, 25]
Generated Node #2: [4, 84, 25] from Operation: 22+3=25
Current State: 16:[4, 84, 25], Operations: ['22+3=25']
Exploring Operation: 4*25=100, Resulting Numbers: [84, 100]
Generated Node #3: [84, 100] from Operation: 4*25=100
Current State: 16:[84, 100], Operations: ['22+3=25', '4*25=100']
Exploring Operation: 100-84=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
29,
66,
33,
43
] | 99 | [
"66*43=2838",
"33+2838=2871",
"2871/29=99"
] | Current State: 99:[29, 66, 33, 43], Operations: []
Exploring Operation: 66*43=2838, Resulting Numbers: [29, 33, 2838]
Generated Node #2: [29, 33, 2838] from Operation: 66*43=2838
Current State: 99:[29, 33, 2838], Operations: ['66*43=2838']
Exploring Operation: 33+2838=2871, Resulting Numbers: [29, 2871]
Generated Node #3: [29, 2871] from Operation: 33+2838=2871
Current State: 99:[29, 2871], Operations: ['66*43=2838', '33+2838=2871']
Exploring Operation: 2871/29=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
80,
24,
56,
6
] | 15 | [
"80*6=480",
"56-24=32",
"480/32=15"
] | Current State: 15:[80, 24, 56, 6], Operations: []
Exploring Operation: 80*6=480, Resulting Numbers: [24, 56, 480]
Generated Node #2: [24, 56, 480] from Operation: 80*6=480
Current State: 15:[24, 56, 480], Operations: ['80*6=480']
Exploring Operation: 56-24=32, Resulting Numbers: [480, 32]
Generated Node #3: [480, 32] from Operation: 56-24=32
Current State: 15:[480, 32], Operations: ['80*6=480', '56-24=32']
Exploring Operation: 480/32=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
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