nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
2,
39,
25,
71
] | 16 | [
"71-25=46",
"46/2=23",
"39-23=16"
] | Current State: 16:[2, 39, 25, 71], Operations: []
Exploring Operation: 71-25=46, Resulting Numbers: [2, 39, 46]
Generated Node #2: [2, 39, 46] from Operation: 71-25=46
Current State: 16:[2, 39, 46], Operations: ['71-25=46']
Exploring Operation: 46/2=23, Resulting Numbers: [39, 23]
Generated Node #3: [39, 23] from Operation: 46/2=23
Current State: 16:[39, 23], Operations: ['71-25=46', '46/2=23']
Exploring Operation: 39-23=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
49,
66,
7,
77
] | 70 | [
"77-49=28",
"28/7=4",
"66+4=70"
] | Current State: 70:[49, 66, 7, 77], Operations: []
Exploring Operation: 77-49=28, Resulting Numbers: [66, 7, 28]
Generated Node #2: [66, 7, 28] from Operation: 77-49=28
Current State: 70:[66, 7, 28], Operations: ['77-49=28']
Exploring Operation: 28/7=4, Resulting Numbers: [66, 4]
Generated Node #3: [66, 4] from Operation: 28/7=4
Current State: 70:[66, 4], Operations: ['77-49=28', '28/7=4']
Exploring Operation: 66+4=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
67,
56,
61,
18
] | 32 | [
"67-56=11",
"61-18=43",
"43-11=32"
] | Current State: 32:[67, 56, 61, 18], Operations: []
Exploring Operation: 67-56=11, Resulting Numbers: [61, 18, 11]
Generated Node #2: [61, 18, 11] from Operation: 67-56=11
Current State: 32:[61, 18, 11], Operations: ['67-56=11']
Exploring Operation: 61-18=43, Resulting Numbers: [11, 43]
Generated Node #3: [11, 43] from Operation: 61-18=43
Current State: 32:[11, 43], Operations: ['67-56=11', '61-18=43']
Exploring Operation: 43-11=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
52,
59,
38,
22
] | 53 | [
"59-52=7",
"38+22=60",
"60-7=53"
] | Current State: 53:[52, 59, 38, 22], Operations: []
Exploring Operation: 59-52=7, Resulting Numbers: [38, 22, 7]
Generated Node #2: [38, 22, 7] from Operation: 59-52=7
Current State: 53:[38, 22, 7], Operations: ['59-52=7']
Exploring Operation: 38+22=60, Resulting Numbers: [7, 60]
Generated Node #3: [7, 60] from Operation: 38+22=60
Current State: 53:[7, 60], Operations: ['59-52=7', '38+22=60']
Exploring Operation: 60-7=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
72,
43,
89,
65
] | 39 | [
"72+43=115",
"89+65=154",
"154-115=39"
] | Current State: 39:[72, 43, 89, 65], Operations: []
Exploring Operation: 72+43=115, Resulting Numbers: [89, 65, 115]
Generated Node #2: [89, 65, 115] from Operation: 72+43=115
Current State: 39:[89, 65, 115], Operations: ['72+43=115']
Exploring Operation: 89+65=154, Resulting Numbers: [115, 154]
Generated Node #3: [115, 154] from Operation: 89+65=154
Current State: 39:[115, 154], Operations: ['72+43=115', '89+65=154']
Exploring Operation: 154-115=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
66,
13,
83,
89
] | 47 | [
"66-13=53",
"89-83=6",
"53-6=47"
] | Current State: 47:[66, 13, 83, 89], Operations: []
Exploring Operation: 66-13=53, Resulting Numbers: [83, 89, 53]
Generated Node #2: [83, 89, 53] from Operation: 66-13=53
Current State: 47:[83, 89, 53], Operations: ['66-13=53']
Exploring Operation: 89-83=6, Resulting Numbers: [53, 6]
Generated Node #3: [53, 6] from Operation: 89-83=6
Current State: 47:[53, 6], Operations: ['66-13=53', '89-83=6']
Exploring Operation: 53-6=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
43,
20,
51,
12
] | 16 | [
"43-20=23",
"51-12=39",
"39-23=16"
] | Current State: 16:[43, 20, 51, 12], Operations: []
Exploring Operation: 43-20=23, Resulting Numbers: [51, 12, 23]
Generated Node #2: [51, 12, 23] from Operation: 43-20=23
Current State: 16:[51, 12, 23], Operations: ['43-20=23']
Exploring Operation: 51-12=39, Resulting Numbers: [23, 39]
Generated Node #3: [23, 39] from Operation: 51-12=39
Current State: 16:[23, 39], Operations: ['43-20=23', '51-12=39']
Exploring Operation: 39-23=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
43,
65,
23,
83
] | 38 | [
"65-43=22",
"83-23=60",
"60-22=38"
] | Current State: 38:[43, 65, 23, 83], Operations: []
Exploring Operation: 65-43=22, Resulting Numbers: [23, 83, 22]
Generated Node #2: [23, 83, 22] from Operation: 65-43=22
Current State: 38:[23, 83, 22], Operations: ['65-43=22']
Exploring Operation: 83-23=60, Resulting Numbers: [22, 60]
Generated Node #3: [22, 60] from Operation: 83-23=60
Current State: 38:[22, 60], Operations: ['65-43=22', '83-23=60']
Exploring Operation: 60-22=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
29,
5,
64,
89
] | 52 | [
"89-29=60",
"60/5=12",
"64-12=52"
] | Current State: 52:[29, 5, 64, 89], Operations: []
Exploring Operation: 89-29=60, Resulting Numbers: [5, 64, 60]
Generated Node #2: [5, 64, 60] from Operation: 89-29=60
Current State: 52:[5, 64, 60], Operations: ['89-29=60']
Exploring Operation: 60/5=12, Resulting Numbers: [64, 12]
Generated Node #3: [64, 12] from Operation: 60/5=12
Current State: 52:[64, 12], Operations: ['89-29=60', '60/5=12']
Exploring Operation: 64-12=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
76,
53,
61,
69
] | 56 | [
"76-69=7",
"61-53=8",
"7*8=56"
] | Current State: 56:[76, 53, 61, 69], Operations: []
Exploring Operation: 76-69=7, Resulting Numbers: [53, 61, 7]
Generated Node #2: [53, 61, 7] from Operation: 76-69=7
Current State: 56:[53, 61, 7], Operations: ['76-69=7']
Exploring Operation: 61-53=8, Resulting Numbers: [7, 8]
Generated Node #3: [7, 8] from Operation: 61-53=8
Current State: 56:[7, 8], Operations: ['76-69=7', '61-53=8']
Exploring Operation: 7*8=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
78,
40,
40,
38
] | 79 | [
"40-38=2",
"78/2=39",
"40+39=79"
] | Current State: 79:[78, 40, 40, 38], Operations: []
Exploring Operation: 40-38=2, Resulting Numbers: [78, 2]
Generated Node #2: [78, 2] from Operation: 40-38=2
Current State: 79:[78, 2], Operations: ['40-38=2']
Exploring Operation: 78/2=39, Resulting Numbers: [39]
39,79 equal: Goal Reached
Exploring Operation: 40+39=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
75,
67,
81,
76
] | 82 | [
"81-76=5",
"75/5=15",
"67+15=82"
] | Current State: 82:[75, 67, 81, 76], Operations: []
Exploring Operation: 81-76=5, Resulting Numbers: [75, 67, 5]
Generated Node #2: [75, 67, 5] from Operation: 81-76=5
Current State: 82:[75, 67, 5], Operations: ['81-76=5']
Exploring Operation: 75/5=15, Resulting Numbers: [67, 15]
Generated Node #3: [67, 15] from Operation: 75/5=15
Current State: 82:[67, 15], Operations: ['81-76=5', '75/5=15']
Exploring Operation: 67+15=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
65,
41,
34,
37
] | 44 | [
"65+37=102",
"102/34=3",
"41+3=44"
] | Current State: 44:[65, 41, 34, 37], Operations: []
Exploring Operation: 65+37=102, Resulting Numbers: [41, 34, 102]
Generated Node #2: [41, 34, 102] from Operation: 65+37=102
Current State: 44:[41, 34, 102], Operations: ['65+37=102']
Exploring Operation: 102/34=3, Resulting Numbers: [41, 3]
Generated Node #3: [41, 3] from Operation: 102/34=3
Current State: 44:[41, 3], Operations: ['65+37=102', '102/34=3']
Exploring Operation: 41+3=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
38,
77,
67,
61
] | 89 | [
"77-38=39",
"67+61=128",
"128-39=89"
] | Current State: 89:[38, 77, 67, 61], Operations: []
Exploring Operation: 77-38=39, Resulting Numbers: [67, 61, 39]
Generated Node #2: [67, 61, 39] from Operation: 77-38=39
Current State: 89:[67, 61, 39], Operations: ['77-38=39']
Exploring Operation: 67+61=128, Resulting Numbers: [39, 128]
Generated Node #3: [39, 128] from Operation: 67+61=128
Current State: 89:[39, 128], Operations: ['77-38=39', '67+61=128']
Exploring Operation: 128-39=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
99,
84,
94,
9
] | 100 | [
"99-84=15",
"94-9=85",
"15+85=100"
] | Current State: 100:[99, 84, 94, 9], Operations: []
Exploring Operation: 99-84=15, Resulting Numbers: [94, 9, 15]
Generated Node #2: [94, 9, 15] from Operation: 99-84=15
Current State: 100:[94, 9, 15], Operations: ['99-84=15']
Exploring Operation: 94-9=85, Resulting Numbers: [15, 85]
Generated Node #3: [15, 85] from Operation: 94-9=85
Current State: 100:[15, 85], Operations: ['99-84=15', '94-9=85']
Exploring Operation: 15+85=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
37,
94,
52,
19
] | 95 | [
"94-37=57",
"57-52=5",
"19*5=95"
] | Current State: 95:[37, 94, 52, 19], Operations: []
Exploring Operation: 94-37=57, Resulting Numbers: [52, 19, 57]
Generated Node #2: [52, 19, 57] from Operation: 94-37=57
Current State: 95:[52, 19, 57], Operations: ['94-37=57']
Exploring Operation: 57-52=5, Resulting Numbers: [19, 5]
Generated Node #3: [19, 5] from Operation: 57-52=5
Current State: 95:[19, 5], Operations: ['94-37=57', '57-52=5']
Exploring Operation: 19*5=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
32,
5,
7,
6
] | 39 | [
"32+7=39",
"6-5=1",
"39*1=39"
] | Current State: 39:[32, 5, 7, 6], Operations: []
Exploring Operation: 32+7=39, Resulting Numbers: [5, 6, 39]
Generated Node #2: [5, 6, 39] from Operation: 32+7=39
Current State: 39:[5, 6, 39], Operations: ['32+7=39']
Exploring Operation: 6-5=1, Resulting Numbers: [39, 1]
Generated Node #3: [39, 1] from Operation: 6-5=1
Current State: 39:[39, 1], Operations: ['32+7=39', '6-5=1']
Exploring Operation: 39*1=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
27,
15,
83,
86
] | 96 | [
"86-83=3",
"27*3=81",
"15+81=96"
] | Current State: 96:[27, 15, 83, 86], Operations: []
Exploring Operation: 86-83=3, Resulting Numbers: [27, 15, 3]
Generated Node #2: [27, 15, 3] from Operation: 86-83=3
Current State: 96:[27, 15, 3], Operations: ['86-83=3']
Exploring Operation: 27*3=81, Resulting Numbers: [15, 81]
Generated Node #3: [15, 81] from Operation: 27*3=81
Current State: 96:[15, 81], Operations: ['86-83=3', '27*3=81']
Exploring Operation: 15+81=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
44,
66,
46,
25
] | 94 | [
"66*46=3036",
"3036/44=69",
"25+69=94"
] | Current State: 94:[44, 66, 46, 25], Operations: []
Exploring Operation: 66*46=3036, Resulting Numbers: [44, 25, 3036]
Generated Node #2: [44, 25, 3036] from Operation: 66*46=3036
Current State: 94:[44, 25, 3036], Operations: ['66*46=3036']
Exploring Operation: 3036/44=69, Resulting Numbers: [25, 69]
Generated Node #3: [25, 69] from Operation: 3036/44=69
Current State: 94:[25, 69], Operations: ['66*46=3036', '3036/44=69']
Exploring Operation: 25+69=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
93,
41,
18,
19
] | 53 | [
"93-41=52",
"19-18=1",
"52+1=53"
] | Current State: 53:[93, 41, 18, 19], Operations: []
Exploring Operation: 93-41=52, Resulting Numbers: [18, 19, 52]
Generated Node #2: [18, 19, 52] from Operation: 93-41=52
Current State: 53:[18, 19, 52], Operations: ['93-41=52']
Exploring Operation: 19-18=1, Resulting Numbers: [52, 1]
Generated Node #3: [52, 1] from Operation: 19-18=1
Current State: 53:[52, 1], Operations: ['93-41=52', '19-18=1']
Exploring Operation: 52+1=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
44,
7,
45,
52
] | 59 | [
"45-44=1",
"7+52=59",
"1*59=59"
] | Current State: 59:[44, 7, 45, 52], Operations: []
Exploring Operation: 45-44=1, Resulting Numbers: [7, 52, 1]
Generated Node #2: [7, 52, 1] from Operation: 45-44=1
Current State: 59:[7, 52, 1], Operations: ['45-44=1']
Exploring Operation: 7+52=59, Resulting Numbers: [1, 59]
Generated Node #3: [1, 59] from Operation: 7+52=59
Current State: 59:[1, 59], Operations: ['45-44=1', '7+52=59']
Exploring Operation: 1*59=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
11,
16,
97,
33
] | 15 | [
"97-33=64",
"64/16=4",
"11+4=15"
] | Current State: 15:[11, 16, 97, 33], Operations: []
Exploring Operation: 97-33=64, Resulting Numbers: [11, 16, 64]
Generated Node #2: [11, 16, 64] from Operation: 97-33=64
Current State: 15:[11, 16, 64], Operations: ['97-33=64']
Exploring Operation: 64/16=4, Resulting Numbers: [11, 4]
Generated Node #3: [11, 4] from Operation: 64/16=4
Current State: 15:[11, 4], Operations: ['97-33=64', '64/16=4']
Exploring Operation: 11+4=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
80,
1,
87,
84
] | 91 | [
"80*1=80",
"87+84=171",
"171-80=91"
] | Current State: 91:[80, 1, 87, 84], Operations: []
Exploring Operation: 80*1=80, Resulting Numbers: [87, 84, 80]
Generated Node #2: [87, 84, 80] from Operation: 80*1=80
Current State: 91:[87, 84, 80], Operations: ['80*1=80']
Exploring Operation: 87+84=171, Resulting Numbers: [80, 171]
Generated Node #3: [80, 171] from Operation: 87+84=171
Current State: 91:[80, 171], Operations: ['80*1=80', '87+84=171']
Exploring Operation: 171-80=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
6,
17,
52,
85
] | 82 | [
"6*85=510",
"510/17=30",
"52+30=82"
] | Current State: 82:[6, 17, 52, 85], Operations: []
Exploring Operation: 6*85=510, Resulting Numbers: [17, 52, 510]
Generated Node #2: [17, 52, 510] from Operation: 6*85=510
Current State: 82:[17, 52, 510], Operations: ['6*85=510']
Exploring Operation: 510/17=30, Resulting Numbers: [52, 30]
Generated Node #3: [52, 30] from Operation: 510/17=30
Current State: 82:[52, 30], Operations: ['6*85=510', '510/17=30']
Exploring Operation: 52+30=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
84,
25,
32,
83
] | 58 | [
"84+25=109",
"83-32=51",
"109-51=58"
] | Current State: 58:[84, 25, 32, 83], Operations: []
Exploring Operation: 84+25=109, Resulting Numbers: [32, 83, 109]
Generated Node #2: [32, 83, 109] from Operation: 84+25=109
Current State: 58:[32, 83, 109], Operations: ['84+25=109']
Exploring Operation: 83-32=51, Resulting Numbers: [109, 51]
Generated Node #3: [109, 51] from Operation: 83-32=51
Current State: 58:[109, 51], Operations: ['84+25=109', '83-32=51']
Exploring Operation: 109-51=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
71,
19,
16,
15
] | 67 | [
"19-15=4",
"16/4=4",
"71-4=67"
] | Current State: 67:[71, 19, 16, 15], Operations: []
Exploring Operation: 19-15=4, Resulting Numbers: [71, 16, 4]
Generated Node #2: [71, 16, 4] from Operation: 19-15=4
Current State: 67:[71, 16, 4], Operations: ['19-15=4']
Exploring Operation: 16/4=4, Resulting Numbers: [71, 4]
Generated Node #3: [71, 4] from Operation: 16/4=4
Current State: 67:[71, 4], Operations: ['19-15=4', '16/4=4']
Exploring Operation: 71-4=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
3,
52,
59,
49
] | 16 | [
"59+49=108",
"108/3=36",
"52-36=16"
] | Current State: 16:[3, 52, 59, 49], Operations: []
Exploring Operation: 59+49=108, Resulting Numbers: [3, 52, 108]
Generated Node #2: [3, 52, 108] from Operation: 59+49=108
Current State: 16:[3, 52, 108], Operations: ['59+49=108']
Exploring Operation: 108/3=36, Resulting Numbers: [52, 36]
Generated Node #3: [52, 36] from Operation: 108/3=36
Current State: 16:[52, 36], Operations: ['59+49=108', '108/3=36']
Exploring Operation: 52-36=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
96,
40,
59,
24
] | 33 | [
"59*24=1416",
"1416-96=1320",
"1320/40=33"
] | Current State: 33:[96, 40, 59, 24], Operations: []
Exploring Operation: 59*24=1416, Resulting Numbers: [96, 40, 1416]
Generated Node #2: [96, 40, 1416] from Operation: 59*24=1416
Current State: 33:[96, 40, 1416], Operations: ['59*24=1416']
Exploring Operation: 1416-96=1320, Resulting Numbers: [40, 1320]
Generated Node #3: [40, 1320] from Operation: 1416-96=1320
Current State: 33:[40, 1320], Operations: ['59*24=1416', '1416-96=1320']
Exploring Operation: 1320/40=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
38,
12,
8,
22
] | 79 | [
"38*12=456",
"456/8=57",
"22+57=79"
] | Current State: 79:[38, 12, 8, 22], Operations: []
Exploring Operation: 38*12=456, Resulting Numbers: [8, 22, 456]
Generated Node #2: [8, 22, 456] from Operation: 38*12=456
Current State: 79:[8, 22, 456], Operations: ['38*12=456']
Exploring Operation: 456/8=57, Resulting Numbers: [22, 57]
Generated Node #3: [22, 57] from Operation: 456/8=57
Current State: 79:[22, 57], Operations: ['38*12=456', '456/8=57']
Exploring Operation: 22+57=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
65,
64,
58,
14
] | 32 | [
"65-58=7",
"64*7=448",
"448/14=32"
] | Current State: 32:[65, 64, 58, 14], Operations: []
Exploring Operation: 65-58=7, Resulting Numbers: [64, 14, 7]
Generated Node #2: [64, 14, 7] from Operation: 65-58=7
Current State: 32:[64, 14, 7], Operations: ['65-58=7']
Exploring Operation: 64*7=448, Resulting Numbers: [14, 448]
Generated Node #3: [14, 448] from Operation: 64*7=448
Current State: 32:[14, 448], Operations: ['65-58=7', '64*7=448']
Exploring Operation: 448/14=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
91,
62,
77,
14
] | 50 | [
"91+77=168",
"168/14=12",
"62-12=50"
] | Current State: 50:[91, 62, 77, 14], Operations: []
Exploring Operation: 91+77=168, Resulting Numbers: [62, 14, 168]
Generated Node #2: [62, 14, 168] from Operation: 91+77=168
Current State: 50:[62, 14, 168], Operations: ['91+77=168']
Exploring Operation: 168/14=12, Resulting Numbers: [62, 12]
Generated Node #3: [62, 12] from Operation: 168/14=12
Current State: 50:[62, 12], Operations: ['91+77=168', '168/14=12']
Exploring Operation: 62-12=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
69,
27,
42,
65
] | 65 | [
"69-27=42",
"42+65=107",
"107-42=65"
] | Current State: 65:[69, 27, 42, 65], Operations: []
Exploring Operation: 69-27=42, Resulting Numbers: [42, 65, 42]
Generated Node #2: [42, 65, 42] from Operation: 69-27=42
Current State: 65:[42, 65, 42], Operations: ['69-27=42']
Exploring Operation: 42+65=107, Resulting Numbers: [107]
107,65 equal: Goal Reached
Exploring Operation: 107-42=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
38,
42,
3,
45
] | 97 | [
"38+45=83",
"42/3=14",
"83+14=97"
] | Current State: 97:[38, 42, 3, 45], Operations: []
Exploring Operation: 38+45=83, Resulting Numbers: [42, 3, 83]
Generated Node #2: [42, 3, 83] from Operation: 38+45=83
Current State: 97:[42, 3, 83], Operations: ['38+45=83']
Exploring Operation: 42/3=14, Resulting Numbers: [83, 14]
Generated Node #3: [83, 14] from Operation: 42/3=14
Current State: 97:[83, 14], Operations: ['38+45=83', '42/3=14']
Exploring Operation: 83+14=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
49,
17,
13,
69
] | 50 | [
"49-17=32",
"13+69=82",
"82-32=50"
] | Current State: 50:[49, 17, 13, 69], Operations: []
Exploring Operation: 49-17=32, Resulting Numbers: [13, 69, 32]
Generated Node #2: [13, 69, 32] from Operation: 49-17=32
Current State: 50:[13, 69, 32], Operations: ['49-17=32']
Exploring Operation: 13+69=82, Resulting Numbers: [32, 82]
Generated Node #3: [32, 82] from Operation: 13+69=82
Current State: 50:[32, 82], Operations: ['49-17=32', '13+69=82']
Exploring Operation: 82-32=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
73,
9,
37,
20
] | 81 | [
"73-9=64",
"37-20=17",
"64+17=81"
] | Current State: 81:[73, 9, 37, 20], Operations: []
Exploring Operation: 73-9=64, Resulting Numbers: [37, 20, 64]
Generated Node #2: [37, 20, 64] from Operation: 73-9=64
Current State: 81:[37, 20, 64], Operations: ['73-9=64']
Exploring Operation: 37-20=17, Resulting Numbers: [64, 17]
Generated Node #3: [64, 17] from Operation: 37-20=17
Current State: 81:[64, 17], Operations: ['73-9=64', '37-20=17']
Exploring Operation: 64+17=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
41,
97,
90,
5
] | 39 | [
"97-41=56",
"90+5=95",
"95-56=39"
] | Current State: 39:[41, 97, 90, 5], Operations: []
Exploring Operation: 97-41=56, Resulting Numbers: [90, 5, 56]
Generated Node #2: [90, 5, 56] from Operation: 97-41=56
Current State: 39:[90, 5, 56], Operations: ['97-41=56']
Exploring Operation: 90+5=95, Resulting Numbers: [56, 95]
Generated Node #3: [56, 95] from Operation: 90+5=95
Current State: 39:[56, 95], Operations: ['97-41=56', '90+5=95']
Exploring Operation: 95-56=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
31,
85,
3,
18
] | 45 | [
"31+3=34",
"85*18=1530",
"1530/34=45"
] | Current State: 45:[31, 85, 3, 18], Operations: []
Exploring Operation: 31+3=34, Resulting Numbers: [85, 18, 34]
Generated Node #2: [85, 18, 34] from Operation: 31+3=34
Current State: 45:[85, 18, 34], Operations: ['31+3=34']
Exploring Operation: 85*18=1530, Resulting Numbers: [34, 1530]
Generated Node #3: [34, 1530] from Operation: 85*18=1530
Current State: 45:[34, 1530], Operations: ['31+3=34', '85*18=1530']
Exploring Operation: 1530/34=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
19,
5,
29,
1
] | 50 | [
"29-19=10",
"5*1=5",
"10*5=50"
] | Current State: 50:[19, 5, 29, 1], Operations: []
Exploring Operation: 29-19=10, Resulting Numbers: [5, 1, 10]
Generated Node #2: [5, 1, 10] from Operation: 29-19=10
Current State: 50:[5, 1, 10], Operations: ['29-19=10']
Exploring Operation: 5*1=5, Resulting Numbers: [10, 5]
Generated Node #3: [10, 5] from Operation: 5*1=5
Current State: 50:[10, 5], Operations: ['29-19=10', '5*1=5']
Exploring Operation: 10*5=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
19,
54,
15,
42
] | 48 | [
"19-15=4",
"54-42=12",
"4*12=48"
] | Current State: 48:[19, 54, 15, 42], Operations: []
Exploring Operation: 19-15=4, Resulting Numbers: [54, 42, 4]
Generated Node #2: [54, 42, 4] from Operation: 19-15=4
Current State: 48:[54, 42, 4], Operations: ['19-15=4']
Exploring Operation: 54-42=12, Resulting Numbers: [4, 12]
Generated Node #3: [4, 12] from Operation: 54-42=12
Current State: 48:[4, 12], Operations: ['19-15=4', '54-42=12']
Exploring Operation: 4*12=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
25,
21,
67,
63
] | 84 | [
"25+21=46",
"67+63=130",
"130-46=84"
] | Current State: 84:[25, 21, 67, 63], Operations: []
Exploring Operation: 25+21=46, Resulting Numbers: [67, 63, 46]
Generated Node #2: [67, 63, 46] from Operation: 25+21=46
Current State: 84:[67, 63, 46], Operations: ['25+21=46']
Exploring Operation: 67+63=130, Resulting Numbers: [46, 130]
Generated Node #3: [46, 130] from Operation: 67+63=130
Current State: 84:[46, 130], Operations: ['25+21=46', '67+63=130']
Exploring Operation: 130-46=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
70,
65,
99,
51
] | 15 | [
"70+65=135",
"99+51=150",
"150-135=15"
] | Current State: 15:[70, 65, 99, 51], Operations: []
Exploring Operation: 70+65=135, Resulting Numbers: [99, 51, 135]
Generated Node #2: [99, 51, 135] from Operation: 70+65=135
Current State: 15:[99, 51, 135], Operations: ['70+65=135']
Exploring Operation: 99+51=150, Resulting Numbers: [135, 150]
Generated Node #3: [135, 150] from Operation: 99+51=150
Current State: 15:[135, 150], Operations: ['70+65=135', '99+51=150']
Exploring Operation: 150-135=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
72,
64,
20,
33
] | 61 | [
"72-64=8",
"20+33=53",
"8+53=61"
] | Current State: 61:[72, 64, 20, 33], Operations: []
Exploring Operation: 72-64=8, Resulting Numbers: [20, 33, 8]
Generated Node #2: [20, 33, 8] from Operation: 72-64=8
Current State: 61:[20, 33, 8], Operations: ['72-64=8']
Exploring Operation: 20+33=53, Resulting Numbers: [8, 53]
Generated Node #3: [8, 53] from Operation: 20+33=53
Current State: 61:[8, 53], Operations: ['72-64=8', '20+33=53']
Exploring Operation: 8+53=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
1,
31,
24,
92
] | 100 | [
"1+31=32",
"92-24=68",
"32+68=100"
] | Current State: 100:[1, 31, 24, 92], Operations: []
Exploring Operation: 1+31=32, Resulting Numbers: [24, 92, 32]
Generated Node #2: [24, 92, 32] from Operation: 1+31=32
Current State: 100:[24, 92, 32], Operations: ['1+31=32']
Exploring Operation: 92-24=68, Resulting Numbers: [32, 68]
Generated Node #3: [32, 68] from Operation: 92-24=68
Current State: 100:[32, 68], Operations: ['1+31=32', '92-24=68']
Exploring Operation: 32+68=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
75,
51,
44,
38
] | 21 | [
"75+51=126",
"44-38=6",
"126/6=21"
] | Current State: 21:[75, 51, 44, 38], Operations: []
Exploring Operation: 75+51=126, Resulting Numbers: [44, 38, 126]
Generated Node #2: [44, 38, 126] from Operation: 75+51=126
Current State: 21:[44, 38, 126], Operations: ['75+51=126']
Exploring Operation: 44-38=6, Resulting Numbers: [126, 6]
Generated Node #3: [126, 6] from Operation: 44-38=6
Current State: 21:[126, 6], Operations: ['75+51=126', '44-38=6']
Exploring Operation: 126/6=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
88,
28,
39,
20
] | 36 | [
"88-28=60",
"60/20=3",
"39-3=36"
] | Current State: 36:[88, 28, 39, 20], Operations: []
Exploring Operation: 88-28=60, Resulting Numbers: [39, 20, 60]
Generated Node #2: [39, 20, 60] from Operation: 88-28=60
Current State: 36:[39, 20, 60], Operations: ['88-28=60']
Exploring Operation: 60/20=3, Resulting Numbers: [39, 3]
Generated Node #3: [39, 3] from Operation: 60/20=3
Current State: 36:[39, 3], Operations: ['88-28=60', '60/20=3']
Exploring Operation: 39-3=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
63,
18,
3,
51
] | 98 | [
"63+18=81",
"51/3=17",
"81+17=98"
] | Current State: 98:[63, 18, 3, 51], Operations: []
Exploring Operation: 63+18=81, Resulting Numbers: [3, 51, 81]
Generated Node #2: [3, 51, 81] from Operation: 63+18=81
Current State: 98:[3, 51, 81], Operations: ['63+18=81']
Exploring Operation: 51/3=17, Resulting Numbers: [81, 17]
Generated Node #3: [81, 17] from Operation: 51/3=17
Current State: 98:[81, 17], Operations: ['63+18=81', '51/3=17']
Exploring Operation: 81+17=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
60,
12,
64,
48
] | 51 | [
"64-60=4",
"12/4=3",
"48+3=51"
] | Current State: 51:[60, 12, 64, 48], Operations: []
Exploring Operation: 64-60=4, Resulting Numbers: [12, 48, 4]
Generated Node #2: [12, 48, 4] from Operation: 64-60=4
Current State: 51:[12, 48, 4], Operations: ['64-60=4']
Exploring Operation: 12/4=3, Resulting Numbers: [48, 3]
Generated Node #3: [48, 3] from Operation: 12/4=3
Current State: 51:[48, 3], Operations: ['64-60=4', '12/4=3']
Exploring Operation: 48+3=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
30,
30,
84,
95
] | 11 | [
"30-30=0",
"95-84=11",
"0+11=11"
] | Current State: 11:[30, 30, 84, 95], Operations: []
Exploring Operation: 30-30=0, Resulting Numbers: [84, 95, 0]
Generated Node #2: [84, 95, 0] from Operation: 30-30=0
Current State: 11:[84, 95, 0], Operations: ['30-30=0']
Exploring Operation: 95-84=11, Resulting Numbers: [0, 11]
Generated Node #3: [0, 11] from Operation: 95-84=11
Current State: 11:[0, 11], Operations: ['30-30=0', '95-84=11']
Exploring Operation: 0+11=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
75,
89,
71,
68
] | 77 | [
"75*71=5325",
"5325-89=5236",
"5236/68=77"
] | Current State: 77:[75, 89, 71, 68], Operations: []
Exploring Operation: 75*71=5325, Resulting Numbers: [89, 68, 5325]
Generated Node #2: [89, 68, 5325] from Operation: 75*71=5325
Current State: 77:[89, 68, 5325], Operations: ['75*71=5325']
Exploring Operation: 5325-89=5236, Resulting Numbers: [68, 5236]
Generated Node #3: [68, 5236] from Operation: 5325-89=5236
Current State: 77:[68, 5236], Operations: ['75*71=5325', '5325-89=5236']
Exploring Operation: 5236/68=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
59,
57,
68,
52
] | 77 | [
"59-52=7",
"68-57=11",
"7*11=77"
] | Current State: 77:[59, 57, 68, 52], Operations: []
Exploring Operation: 59-52=7, Resulting Numbers: [57, 68, 7]
Generated Node #2: [57, 68, 7] from Operation: 59-52=7
Current State: 77:[57, 68, 7], Operations: ['59-52=7']
Exploring Operation: 68-57=11, Resulting Numbers: [7, 11]
Generated Node #3: [7, 11] from Operation: 68-57=11
Current State: 77:[7, 11], Operations: ['59-52=7', '68-57=11']
Exploring Operation: 7*11=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
2,
85,
56,
93
] | 72 | [
"93-85=8",
"2*8=16",
"56+16=72"
] | Current State: 72:[2, 85, 56, 93], Operations: []
Exploring Operation: 93-85=8, Resulting Numbers: [2, 56, 8]
Generated Node #2: [2, 56, 8] from Operation: 93-85=8
Current State: 72:[2, 56, 8], Operations: ['93-85=8']
Exploring Operation: 2*8=16, Resulting Numbers: [56, 16]
Generated Node #3: [56, 16] from Operation: 2*8=16
Current State: 72:[56, 16], Operations: ['93-85=8', '2*8=16']
Exploring Operation: 56+16=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
47,
33,
64,
2
] | 67 | [
"64-47=17",
"2*17=34",
"33+34=67"
] | Current State: 67:[47, 33, 64, 2], Operations: []
Exploring Operation: 64-47=17, Resulting Numbers: [33, 2, 17]
Generated Node #2: [33, 2, 17] from Operation: 64-47=17
Current State: 67:[33, 2, 17], Operations: ['64-47=17']
Exploring Operation: 2*17=34, Resulting Numbers: [33, 34]
Generated Node #3: [33, 34] from Operation: 2*17=34
Current State: 67:[33, 34], Operations: ['64-47=17', '2*17=34']
Exploring Operation: 33+34=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
77,
19,
7,
20
] | 76 | [
"77-20=57",
"19*7=133",
"133-57=76"
] | Current State: 76:[77, 19, 7, 20], Operations: []
Exploring Operation: 77-20=57, Resulting Numbers: [19, 7, 57]
Generated Node #2: [19, 7, 57] from Operation: 77-20=57
Current State: 76:[19, 7, 57], Operations: ['77-20=57']
Exploring Operation: 19*7=133, Resulting Numbers: [57, 133]
Generated Node #3: [57, 133] from Operation: 19*7=133
Current State: 76:[57, 133], Operations: ['77-20=57', '19*7=133']
Exploring Operation: 133-57=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
44,
88,
38,
40
] | 34 | [
"88-44=44",
"38+40=78",
"78-44=34"
] | Current State: 34:[44, 88, 38, 40], Operations: []
Exploring Operation: 88-44=44, Resulting Numbers: [38, 40, 44]
Generated Node #2: [38, 40, 44] from Operation: 88-44=44
Current State: 34:[38, 40, 44], Operations: ['88-44=44']
Exploring Operation: 38+40=78, Resulting Numbers: [44, 78]
Generated Node #3: [44, 78] from Operation: 38+40=78
Current State: 34:[44, 78], Operations: ['88-44=44', '38+40=78']
Exploring Operation: 78-44=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
28,
44,
86,
1
] | 15 | [
"28+44=72",
"86+1=87",
"87-72=15"
] | Current State: 15:[28, 44, 86, 1], Operations: []
Exploring Operation: 28+44=72, Resulting Numbers: [86, 1, 72]
Generated Node #2: [86, 1, 72] from Operation: 28+44=72
Current State: 15:[86, 1, 72], Operations: ['28+44=72']
Exploring Operation: 86+1=87, Resulting Numbers: [72, 87]
Generated Node #3: [72, 87] from Operation: 86+1=87
Current State: 15:[72, 87], Operations: ['28+44=72', '86+1=87']
Exploring Operation: 87-72=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
80,
22,
40,
50
] | 92 | [
"80+22=102",
"50-40=10",
"102-10=92"
] | Current State: 92:[80, 22, 40, 50], Operations: []
Exploring Operation: 80+22=102, Resulting Numbers: [40, 50, 102]
Generated Node #2: [40, 50, 102] from Operation: 80+22=102
Current State: 92:[40, 50, 102], Operations: ['80+22=102']
Exploring Operation: 50-40=10, Resulting Numbers: [102, 10]
Generated Node #3: [102, 10] from Operation: 50-40=10
Current State: 92:[102, 10], Operations: ['80+22=102', '50-40=10']
Exploring Operation: 102-10=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
7,
9,
63,
78
] | 72 | [
"7+63=70",
"78-70=8",
"9*8=72"
] | Current State: 72:[7, 9, 63, 78], Operations: []
Exploring Operation: 7+63=70, Resulting Numbers: [9, 78, 70]
Generated Node #2: [9, 78, 70] from Operation: 7+63=70
Current State: 72:[9, 78, 70], Operations: ['7+63=70']
Exploring Operation: 78-70=8, Resulting Numbers: [9, 8]
Generated Node #3: [9, 8] from Operation: 78-70=8
Current State: 72:[9, 8], Operations: ['7+63=70', '78-70=8']
Exploring Operation: 9*8=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
38,
17,
39,
16
] | 44 | [
"38-17=21",
"39-16=23",
"21+23=44"
] | Current State: 44:[38, 17, 39, 16], Operations: []
Exploring Operation: 38-17=21, Resulting Numbers: [39, 16, 21]
Generated Node #2: [39, 16, 21] from Operation: 38-17=21
Current State: 44:[39, 16, 21], Operations: ['38-17=21']
Exploring Operation: 39-16=23, Resulting Numbers: [21, 23]
Generated Node #3: [21, 23] from Operation: 39-16=23
Current State: 44:[21, 23], Operations: ['38-17=21', '39-16=23']
Exploring Operation: 21+23=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
11,
99,
66,
52
] | 67 | [
"99+66=165",
"165/11=15",
"52+15=67"
] | Current State: 67:[11, 99, 66, 52], Operations: []
Exploring Operation: 99+66=165, Resulting Numbers: [11, 52, 165]
Generated Node #2: [11, 52, 165] from Operation: 99+66=165
Current State: 67:[11, 52, 165], Operations: ['99+66=165']
Exploring Operation: 165/11=15, Resulting Numbers: [52, 15]
Generated Node #3: [52, 15] from Operation: 165/11=15
Current State: 67:[52, 15], Operations: ['99+66=165', '165/11=15']
Exploring Operation: 52+15=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
96,
2,
76,
55
] | 77 | [
"96+2=98",
"76-55=21",
"98-21=77"
] | Current State: 77:[96, 2, 76, 55], Operations: []
Exploring Operation: 96+2=98, Resulting Numbers: [76, 55, 98]
Generated Node #2: [76, 55, 98] from Operation: 96+2=98
Current State: 77:[76, 55, 98], Operations: ['96+2=98']
Exploring Operation: 76-55=21, Resulting Numbers: [98, 21]
Generated Node #3: [98, 21] from Operation: 76-55=21
Current State: 77:[98, 21], Operations: ['96+2=98', '76-55=21']
Exploring Operation: 98-21=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
51,
13,
50,
3
] | 17 | [
"51+13=64",
"50-3=47",
"64-47=17"
] | Current State: 17:[51, 13, 50, 3], Operations: []
Exploring Operation: 51+13=64, Resulting Numbers: [50, 3, 64]
Generated Node #2: [50, 3, 64] from Operation: 51+13=64
Current State: 17:[50, 3, 64], Operations: ['51+13=64']
Exploring Operation: 50-3=47, Resulting Numbers: [64, 47]
Generated Node #3: [64, 47] from Operation: 50-3=47
Current State: 17:[64, 47], Operations: ['51+13=64', '50-3=47']
Exploring Operation: 64-47=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
12,
57,
86,
67
] | 50 | [
"12+57=69",
"86-67=19",
"69-19=50"
] | Current State: 50:[12, 57, 86, 67], Operations: []
Exploring Operation: 12+57=69, Resulting Numbers: [86, 67, 69]
Generated Node #2: [86, 67, 69] from Operation: 12+57=69
Current State: 50:[86, 67, 69], Operations: ['12+57=69']
Exploring Operation: 86-67=19, Resulting Numbers: [69, 19]
Generated Node #3: [69, 19] from Operation: 86-67=19
Current State: 50:[69, 19], Operations: ['12+57=69', '86-67=19']
Exploring Operation: 69-19=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
55,
22,
47,
9
] | 94 | [
"55-47=8",
"9*8=72",
"22+72=94"
] | Current State: 94:[55, 22, 47, 9], Operations: []
Exploring Operation: 55-47=8, Resulting Numbers: [22, 9, 8]
Generated Node #2: [22, 9, 8] from Operation: 55-47=8
Current State: 94:[22, 9, 8], Operations: ['55-47=8']
Exploring Operation: 9*8=72, Resulting Numbers: [22, 72]
Generated Node #3: [22, 72] from Operation: 9*8=72
Current State: 94:[22, 72], Operations: ['55-47=8', '9*8=72']
Exploring Operation: 22+72=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
68,
67,
77,
2
] | 11 | [
"68+77=145",
"67*2=134",
"145-134=11"
] | Current State: 11:[68, 67, 77, 2], Operations: []
Exploring Operation: 68+77=145, Resulting Numbers: [67, 2, 145]
Generated Node #2: [67, 2, 145] from Operation: 68+77=145
Current State: 11:[67, 2, 145], Operations: ['68+77=145']
Exploring Operation: 67*2=134, Resulting Numbers: [145, 134]
Generated Node #3: [145, 134] from Operation: 67*2=134
Current State: 11:[145, 134], Operations: ['68+77=145', '67*2=134']
Exploring Operation: 145-134=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
23,
69,
15,
99
] | 28 | [
"69/23=3",
"99-15=84",
"84/3=28"
] | Current State: 28:[23, 69, 15, 99], Operations: []
Exploring Operation: 69/23=3, Resulting Numbers: [15, 99, 3]
Generated Node #2: [15, 99, 3] from Operation: 69/23=3
Current State: 28:[15, 99, 3], Operations: ['69/23=3']
Exploring Operation: 99-15=84, Resulting Numbers: [3, 84]
Generated Node #3: [3, 84] from Operation: 99-15=84
Current State: 28:[3, 84], Operations: ['69/23=3', '99-15=84']
Exploring Operation: 84/3=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
76,
96,
62,
67
] | 100 | [
"96-76=20",
"67-62=5",
"20*5=100"
] | Current State: 100:[76, 96, 62, 67], Operations: []
Exploring Operation: 96-76=20, Resulting Numbers: [62, 67, 20]
Generated Node #2: [62, 67, 20] from Operation: 96-76=20
Current State: 100:[62, 67, 20], Operations: ['96-76=20']
Exploring Operation: 67-62=5, Resulting Numbers: [20, 5]
Generated Node #3: [20, 5] from Operation: 67-62=5
Current State: 100:[20, 5], Operations: ['96-76=20', '67-62=5']
Exploring Operation: 20*5=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
16,
12,
91,
83
] | 24 | [
"16*12=192",
"91-83=8",
"192/8=24"
] | Current State: 24:[16, 12, 91, 83], Operations: []
Exploring Operation: 16*12=192, Resulting Numbers: [91, 83, 192]
Generated Node #2: [91, 83, 192] from Operation: 16*12=192
Current State: 24:[91, 83, 192], Operations: ['16*12=192']
Exploring Operation: 91-83=8, Resulting Numbers: [192, 8]
Generated Node #3: [192, 8] from Operation: 91-83=8
Current State: 24:[192, 8], Operations: ['16*12=192', '91-83=8']
Exploring Operation: 192/8=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
71,
84,
56,
85
] | 42 | [
"84-71=13",
"85-56=29",
"13+29=42"
] | Current State: 42:[71, 84, 56, 85], Operations: []
Exploring Operation: 84-71=13, Resulting Numbers: [56, 85, 13]
Generated Node #2: [56, 85, 13] from Operation: 84-71=13
Current State: 42:[56, 85, 13], Operations: ['84-71=13']
Exploring Operation: 85-56=29, Resulting Numbers: [13, 29]
Generated Node #3: [13, 29] from Operation: 85-56=29
Current State: 42:[13, 29], Operations: ['84-71=13', '85-56=29']
Exploring Operation: 13+29=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
52,
49,
54,
75
] | 67 | [
"54-49=5",
"75/5=15",
"52+15=67"
] | Current State: 67:[52, 49, 54, 75], Operations: []
Exploring Operation: 54-49=5, Resulting Numbers: [52, 75, 5]
Generated Node #2: [52, 75, 5] from Operation: 54-49=5
Current State: 67:[52, 75, 5], Operations: ['54-49=5']
Exploring Operation: 75/5=15, Resulting Numbers: [52, 15]
Generated Node #3: [52, 15] from Operation: 75/5=15
Current State: 67:[52, 15], Operations: ['54-49=5', '75/5=15']
Exploring Operation: 52+15=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
8,
93,
39,
9
] | 18 | [
"8*9=72",
"93-39=54",
"72-54=18"
] | Current State: 18:[8, 93, 39, 9], Operations: []
Exploring Operation: 8*9=72, Resulting Numbers: [93, 39, 72]
Generated Node #2: [93, 39, 72] from Operation: 8*9=72
Current State: 18:[93, 39, 72], Operations: ['8*9=72']
Exploring Operation: 93-39=54, Resulting Numbers: [72, 54]
Generated Node #3: [72, 54] from Operation: 93-39=54
Current State: 18:[72, 54], Operations: ['8*9=72', '93-39=54']
Exploring Operation: 72-54=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
87,
13,
13,
97
] | 97 | [
"13-13=0",
"87*0=0",
"97+0=97"
] | Current State: 97:[87, 13, 13, 97], Operations: []
Exploring Operation: 13-13=0, Resulting Numbers: [87, 97, 0]
Generated Node #2: [87, 97, 0] from Operation: 13-13=0
Current State: 97:[87, 97, 0], Operations: ['13-13=0']
Exploring Operation: 87*0=0, Resulting Numbers: [97, 0]
Generated Node #3: [97, 0] from Operation: 87*0=0
Current State: 97:[97, 0], Operations: ['13-13=0', '87*0=0']
Exploring Operation: 97+0=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
16,
80,
55,
38
] | 98 | [
"80/16=5",
"55+38=93",
"5+93=98"
] | Current State: 98:[16, 80, 55, 38], Operations: []
Exploring Operation: 80/16=5, Resulting Numbers: [55, 38, 5]
Generated Node #2: [55, 38, 5] from Operation: 80/16=5
Current State: 98:[55, 38, 5], Operations: ['80/16=5']
Exploring Operation: 55+38=93, Resulting Numbers: [5, 93]
Generated Node #3: [5, 93] from Operation: 55+38=93
Current State: 98:[5, 93], Operations: ['80/16=5', '55+38=93']
Exploring Operation: 5+93=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
99,
2,
65,
37
] | 96 | [
"99*2=198",
"65+37=102",
"198-102=96"
] | Current State: 96:[99, 2, 65, 37], Operations: []
Exploring Operation: 99*2=198, Resulting Numbers: [65, 37, 198]
Generated Node #2: [65, 37, 198] from Operation: 99*2=198
Current State: 96:[65, 37, 198], Operations: ['99*2=198']
Exploring Operation: 65+37=102, Resulting Numbers: [198, 102]
Generated Node #3: [198, 102] from Operation: 65+37=102
Current State: 96:[198, 102], Operations: ['99*2=198', '65+37=102']
Exploring Operation: 198-102=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
75,
92,
24,
92
] | 98 | [
"75+24=99",
"92/92=1",
"99-1=98"
] | Current State: 98:[75, 92, 24, 92], Operations: []
Exploring Operation: 75+24=99, Resulting Numbers: [92, 92, 99]
Generated Node #2: [92, 92, 99] from Operation: 75+24=99
Current State: 98:[92, 92, 99], Operations: ['75+24=99']
Exploring Operation: 92/92=1, Resulting Numbers: [99, 1]
Generated Node #3: [99, 1] from Operation: 92/92=1
Current State: 98:[99, 1], Operations: ['75+24=99', '92/92=1']
Exploring Operation: 99-1=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
90,
28,
23,
48
] | 30 | [
"28+23=51",
"51-48=3",
"90/3=30"
] | Current State: 30:[90, 28, 23, 48], Operations: []
Exploring Operation: 28+23=51, Resulting Numbers: [90, 48, 51]
Generated Node #2: [90, 48, 51] from Operation: 28+23=51
Current State: 30:[90, 48, 51], Operations: ['28+23=51']
Exploring Operation: 51-48=3, Resulting Numbers: [90, 3]
Generated Node #3: [90, 3] from Operation: 51-48=3
Current State: 30:[90, 3], Operations: ['28+23=51', '51-48=3']
Exploring Operation: 90/3=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
51,
46,
98,
8
] | 85 | [
"51-46=5",
"98-8=90",
"90-5=85"
] | Current State: 85:[51, 46, 98, 8], Operations: []
Exploring Operation: 51-46=5, Resulting Numbers: [98, 8, 5]
Generated Node #2: [98, 8, 5] from Operation: 51-46=5
Current State: 85:[98, 8, 5], Operations: ['51-46=5']
Exploring Operation: 98-8=90, Resulting Numbers: [5, 90]
Generated Node #3: [5, 90] from Operation: 98-8=90
Current State: 85:[5, 90], Operations: ['51-46=5', '98-8=90']
Exploring Operation: 90-5=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
37,
9,
41,
15
] | 69 | [
"41-37=4",
"15*4=60",
"9+60=69"
] | Current State: 69:[37, 9, 41, 15], Operations: []
Exploring Operation: 41-37=4, Resulting Numbers: [9, 15, 4]
Generated Node #2: [9, 15, 4] from Operation: 41-37=4
Current State: 69:[9, 15, 4], Operations: ['41-37=4']
Exploring Operation: 15*4=60, Resulting Numbers: [9, 60]
Generated Node #3: [9, 60] from Operation: 15*4=60
Current State: 69:[9, 60], Operations: ['41-37=4', '15*4=60']
Exploring Operation: 9+60=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
56,
47,
17,
71
] | 15 | [
"56+47=103",
"17+71=88",
"103-88=15"
] | Current State: 15:[56, 47, 17, 71], Operations: []
Exploring Operation: 56+47=103, Resulting Numbers: [17, 71, 103]
Generated Node #2: [17, 71, 103] from Operation: 56+47=103
Current State: 15:[17, 71, 103], Operations: ['56+47=103']
Exploring Operation: 17+71=88, Resulting Numbers: [103, 88]
Generated Node #3: [103, 88] from Operation: 17+71=88
Current State: 15:[103, 88], Operations: ['56+47=103', '17+71=88']
Exploring Operation: 103-88=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
88,
58,
84,
71
] | 52 | [
"88-84=4",
"71-58=13",
"4*13=52"
] | Current State: 52:[88, 58, 84, 71], Operations: []
Exploring Operation: 88-84=4, Resulting Numbers: [58, 71, 4]
Generated Node #2: [58, 71, 4] from Operation: 88-84=4
Current State: 52:[58, 71, 4], Operations: ['88-84=4']
Exploring Operation: 71-58=13, Resulting Numbers: [4, 13]
Generated Node #3: [4, 13] from Operation: 71-58=13
Current State: 52:[4, 13], Operations: ['88-84=4', '71-58=13']
Exploring Operation: 4*13=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
39,
93,
36,
99
] | 64 | [
"39-36=3",
"93+99=192",
"192/3=64"
] | Current State: 64:[39, 93, 36, 99], Operations: []
Exploring Operation: 39-36=3, Resulting Numbers: [93, 99, 3]
Generated Node #2: [93, 99, 3] from Operation: 39-36=3
Current State: 64:[93, 99, 3], Operations: ['39-36=3']
Exploring Operation: 93+99=192, Resulting Numbers: [3, 192]
Generated Node #3: [3, 192] from Operation: 93+99=192
Current State: 64:[3, 192], Operations: ['39-36=3', '93+99=192']
Exploring Operation: 192/3=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
51,
72,
53,
36
] | 68 | [
"72-51=21",
"53+36=89",
"89-21=68"
] | Current State: 68:[51, 72, 53, 36], Operations: []
Exploring Operation: 72-51=21, Resulting Numbers: [53, 36, 21]
Generated Node #2: [53, 36, 21] from Operation: 72-51=21
Current State: 68:[53, 36, 21], Operations: ['72-51=21']
Exploring Operation: 53+36=89, Resulting Numbers: [21, 89]
Generated Node #3: [21, 89] from Operation: 53+36=89
Current State: 68:[21, 89], Operations: ['72-51=21', '53+36=89']
Exploring Operation: 89-21=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
28,
4,
53,
79
] | 20 | [
"28*4=112",
"53+79=132",
"132-112=20"
] | Current State: 20:[28, 4, 53, 79], Operations: []
Exploring Operation: 28*4=112, Resulting Numbers: [53, 79, 112]
Generated Node #2: [53, 79, 112] from Operation: 28*4=112
Current State: 20:[53, 79, 112], Operations: ['28*4=112']
Exploring Operation: 53+79=132, Resulting Numbers: [112, 132]
Generated Node #3: [112, 132] from Operation: 53+79=132
Current State: 20:[112, 132], Operations: ['28*4=112', '53+79=132']
Exploring Operation: 132-112=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
10,
80,
82,
56
] | 92 | [
"56-10=46",
"82-80=2",
"46*2=92"
] | Current State: 92:[10, 80, 82, 56], Operations: []
Exploring Operation: 56-10=46, Resulting Numbers: [80, 82, 46]
Generated Node #2: [80, 82, 46] from Operation: 56-10=46
Current State: 92:[80, 82, 46], Operations: ['56-10=46']
Exploring Operation: 82-80=2, Resulting Numbers: [46, 2]
Generated Node #3: [46, 2] from Operation: 82-80=2
Current State: 92:[46, 2], Operations: ['56-10=46', '82-80=2']
Exploring Operation: 46*2=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
76,
74,
9,
4
] | 30 | [
"76+74=150",
"9-4=5",
"150/5=30"
] | Current State: 30:[76, 74, 9, 4], Operations: []
Exploring Operation: 76+74=150, Resulting Numbers: [9, 4, 150]
Generated Node #2: [9, 4, 150] from Operation: 76+74=150
Current State: 30:[9, 4, 150], Operations: ['76+74=150']
Exploring Operation: 9-4=5, Resulting Numbers: [150, 5]
Generated Node #3: [150, 5] from Operation: 9-4=5
Current State: 30:[150, 5], Operations: ['76+74=150', '9-4=5']
Exploring Operation: 150/5=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
36,
54,
63,
88
] | 76 | [
"54*88=4752",
"36+4752=4788",
"4788/63=76"
] | Current State: 76:[36, 54, 63, 88], Operations: []
Exploring Operation: 54*88=4752, Resulting Numbers: [36, 63, 4752]
Generated Node #2: [36, 63, 4752] from Operation: 54*88=4752
Current State: 76:[36, 63, 4752], Operations: ['54*88=4752']
Exploring Operation: 36+4752=4788, Resulting Numbers: [63, 4788]
Generated Node #3: [63, 4788] from Operation: 36+4752=4788
Current State: 76:[63, 4788], Operations: ['54*88=4752', '36+4752=4788']
Exploring Operation: 4788/63=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
14,
1,
38,
60
] | 34 | [
"14+1=15",
"60/15=4",
"38-4=34"
] | Current State: 34:[14, 1, 38, 60], Operations: []
Exploring Operation: 14+1=15, Resulting Numbers: [38, 60, 15]
Generated Node #2: [38, 60, 15] from Operation: 14+1=15
Current State: 34:[38, 60, 15], Operations: ['14+1=15']
Exploring Operation: 60/15=4, Resulting Numbers: [38, 4]
Generated Node #3: [38, 4] from Operation: 60/15=4
Current State: 34:[38, 4], Operations: ['14+1=15', '60/15=4']
Exploring Operation: 38-4=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
66,
61,
7,
87
] | 85 | [
"66-61=5",
"87-7=80",
"5+80=85"
] | Current State: 85:[66, 61, 7, 87], Operations: []
Exploring Operation: 66-61=5, Resulting Numbers: [7, 87, 5]
Generated Node #2: [7, 87, 5] from Operation: 66-61=5
Current State: 85:[7, 87, 5], Operations: ['66-61=5']
Exploring Operation: 87-7=80, Resulting Numbers: [5, 80]
Generated Node #3: [5, 80] from Operation: 87-7=80
Current State: 85:[5, 80], Operations: ['66-61=5', '87-7=80']
Exploring Operation: 5+80=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
18,
42,
1,
62
] | 85 | [
"42-18=24",
"62-1=61",
"24+61=85"
] | Current State: 85:[18, 42, 1, 62], Operations: []
Exploring Operation: 42-18=24, Resulting Numbers: [1, 62, 24]
Generated Node #2: [1, 62, 24] from Operation: 42-18=24
Current State: 85:[1, 62, 24], Operations: ['42-18=24']
Exploring Operation: 62-1=61, Resulting Numbers: [24, 61]
Generated Node #3: [24, 61] from Operation: 62-1=61
Current State: 85:[24, 61], Operations: ['42-18=24', '62-1=61']
Exploring Operation: 24+61=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
83,
54,
72,
48
] | 17 | [
"83+54=137",
"72+48=120",
"137-120=17"
] | Current State: 17:[83, 54, 72, 48], Operations: []
Exploring Operation: 83+54=137, Resulting Numbers: [72, 48, 137]
Generated Node #2: [72, 48, 137] from Operation: 83+54=137
Current State: 17:[72, 48, 137], Operations: ['83+54=137']
Exploring Operation: 72+48=120, Resulting Numbers: [137, 120]
Generated Node #3: [137, 120] from Operation: 72+48=120
Current State: 17:[137, 120], Operations: ['83+54=137', '72+48=120']
Exploring Operation: 137-120=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
55,
91,
14,
38
] | 60 | [
"91-55=36",
"38-14=24",
"36+24=60"
] | Current State: 60:[55, 91, 14, 38], Operations: []
Exploring Operation: 91-55=36, Resulting Numbers: [14, 38, 36]
Generated Node #2: [14, 38, 36] from Operation: 91-55=36
Current State: 60:[14, 38, 36], Operations: ['91-55=36']
Exploring Operation: 38-14=24, Resulting Numbers: [36, 24]
Generated Node #3: [36, 24] from Operation: 38-14=24
Current State: 60:[36, 24], Operations: ['91-55=36', '38-14=24']
Exploring Operation: 36+24=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
66,
18,
55,
36
] | 45 | [
"18+36=54",
"55*54=2970",
"2970/66=45"
] | Current State: 45:[66, 18, 55, 36], Operations: []
Exploring Operation: 18+36=54, Resulting Numbers: [66, 55, 54]
Generated Node #2: [66, 55, 54] from Operation: 18+36=54
Current State: 45:[66, 55, 54], Operations: ['18+36=54']
Exploring Operation: 55*54=2970, Resulting Numbers: [66, 2970]
Generated Node #3: [66, 2970] from Operation: 55*54=2970
Current State: 45:[66, 2970], Operations: ['18+36=54', '55*54=2970']
Exploring Operation: 2970/66=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
32,
52,
11,
75
] | 66 | [
"52-32=20",
"11+75=86",
"86-20=66"
] | Current State: 66:[32, 52, 11, 75], Operations: []
Exploring Operation: 52-32=20, Resulting Numbers: [11, 75, 20]
Generated Node #2: [11, 75, 20] from Operation: 52-32=20
Current State: 66:[11, 75, 20], Operations: ['52-32=20']
Exploring Operation: 11+75=86, Resulting Numbers: [20, 86]
Generated Node #3: [20, 86] from Operation: 11+75=86
Current State: 66:[20, 86], Operations: ['52-32=20', '11+75=86']
Exploring Operation: 86-20=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
10,
20,
68,
53
] | 50 | [
"68-20=48",
"53-48=5",
"10*5=50"
] | Current State: 50:[10, 20, 68, 53], Operations: []
Exploring Operation: 68-20=48, Resulting Numbers: [10, 53, 48]
Generated Node #2: [10, 53, 48] from Operation: 68-20=48
Current State: 50:[10, 53, 48], Operations: ['68-20=48']
Exploring Operation: 53-48=5, Resulting Numbers: [10, 5]
Generated Node #3: [10, 5] from Operation: 53-48=5
Current State: 50:[10, 5], Operations: ['68-20=48', '53-48=5']
Exploring Operation: 10*5=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
90,
15,
86,
37
] | 23 | [
"90-86=4",
"15*4=60",
"60-37=23"
] | Current State: 23:[90, 15, 86, 37], Operations: []
Exploring Operation: 90-86=4, Resulting Numbers: [15, 37, 4]
Generated Node #2: [15, 37, 4] from Operation: 90-86=4
Current State: 23:[15, 37, 4], Operations: ['90-86=4']
Exploring Operation: 15*4=60, Resulting Numbers: [37, 60]
Generated Node #3: [37, 60] from Operation: 15*4=60
Current State: 23:[37, 60], Operations: ['90-86=4', '15*4=60']
Exploring Operation: 60-37=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
21,
85,
82,
51
] | 38 | [
"85-82=3",
"51/3=17",
"21+17=38"
] | Current State: 38:[21, 85, 82, 51], Operations: []
Exploring Operation: 85-82=3, Resulting Numbers: [21, 51, 3]
Generated Node #2: [21, 51, 3] from Operation: 85-82=3
Current State: 38:[21, 51, 3], Operations: ['85-82=3']
Exploring Operation: 51/3=17, Resulting Numbers: [21, 17]
Generated Node #3: [21, 17] from Operation: 51/3=17
Current State: 38:[21, 17], Operations: ['85-82=3', '51/3=17']
Exploring Operation: 21+17=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
24,
37,
16,
63
] | 21 | [
"37-24=13",
"16-13=3",
"63/3=21"
] | Current State: 21:[24, 37, 16, 63], Operations: []
Exploring Operation: 37-24=13, Resulting Numbers: [16, 63, 13]
Generated Node #2: [16, 63, 13] from Operation: 37-24=13
Current State: 21:[16, 63, 13], Operations: ['37-24=13']
Exploring Operation: 16-13=3, Resulting Numbers: [63, 3]
Generated Node #3: [63, 3] from Operation: 16-13=3
Current State: 21:[63, 3], Operations: ['37-24=13', '16-13=3']
Exploring Operation: 63/3=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
97,
23,
10,
77
] | 30 | [
"97-23=74",
"77-74=3",
"10*3=30"
] | Current State: 30:[97, 23, 10, 77], Operations: []
Exploring Operation: 97-23=74, Resulting Numbers: [10, 77, 74]
Generated Node #2: [10, 77, 74] from Operation: 97-23=74
Current State: 30:[10, 77, 74], Operations: ['97-23=74']
Exploring Operation: 77-74=3, Resulting Numbers: [10, 3]
Generated Node #3: [10, 3] from Operation: 77-74=3
Current State: 30:[10, 3], Operations: ['97-23=74', '77-74=3']
Exploring Operation: 10*3=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
44,
92,
5,
46
] | 51 | [
"44+5=49",
"92/46=2",
"49+2=51"
] | Current State: 51:[44, 92, 5, 46], Operations: []
Exploring Operation: 44+5=49, Resulting Numbers: [92, 46, 49]
Generated Node #2: [92, 46, 49] from Operation: 44+5=49
Current State: 51:[92, 46, 49], Operations: ['44+5=49']
Exploring Operation: 92/46=2, Resulting Numbers: [49, 2]
Generated Node #3: [49, 2] from Operation: 92/46=2
Current State: 51:[49, 2], Operations: ['44+5=49', '92/46=2']
Exploring Operation: 49+2=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
65,
2,
42,
4
] | 100 | [
"65+2=67",
"67-42=25",
"4*25=100"
] | Current State: 100:[65, 2, 42, 4], Operations: []
Exploring Operation: 65+2=67, Resulting Numbers: [42, 4, 67]
Generated Node #2: [42, 4, 67] from Operation: 65+2=67
Current State: 100:[42, 4, 67], Operations: ['65+2=67']
Exploring Operation: 67-42=25, Resulting Numbers: [4, 25]
Generated Node #3: [4, 25] from Operation: 67-42=25
Current State: 100:[4, 25], Operations: ['65+2=67', '67-42=25']
Exploring Operation: 4*25=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
12,
53,
11,
44
] | 98 | [
"12+53=65",
"44-11=33",
"65+33=98"
] | Current State: 98:[12, 53, 11, 44], Operations: []
Exploring Operation: 12+53=65, Resulting Numbers: [11, 44, 65]
Generated Node #2: [11, 44, 65] from Operation: 12+53=65
Current State: 98:[11, 44, 65], Operations: ['12+53=65']
Exploring Operation: 44-11=33, Resulting Numbers: [65, 33]
Generated Node #3: [65, 33] from Operation: 44-11=33
Current State: 98:[65, 33], Operations: ['12+53=65', '44-11=33']
Exploring Operation: 65+33=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
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