nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
30,
4,
2,
25
] | 36 | [
"30/2=15",
"25-4=21",
"15+21=36"
] | Current State: 36:[30, 4, 2, 25], Operations: []
Exploring Operation: 30/2=15, Resulting Numbers: [4, 25, 15]
Generated Node #2: [4, 25, 15] from Operation: 30/2=15
Current State: 36:[4, 25, 15], Operations: ['30/2=15']
Exploring Operation: 25-4=21, Resulting Numbers: [15, 21]
Generated Node #3: [15, 21] from Operation: 25-4=21
Current State: 36:[15, 21], Operations: ['30/2=15', '25-4=21']
Exploring Operation: 15+21=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
24,
36,
26,
27
] | 18 | [
"26-24=2",
"36-27=9",
"2*9=18"
] | Current State: 18:[24, 36, 26, 27], Operations: []
Exploring Operation: 26-24=2, Resulting Numbers: [36, 27, 2]
Generated Node #2: [36, 27, 2] from Operation: 26-24=2
Current State: 18:[36, 27, 2], Operations: ['26-24=2']
Exploring Operation: 36-27=9, Resulting Numbers: [2, 9]
Generated Node #3: [2, 9] from Operation: 36-27=9
Current State: 18:[2, 9], Operations: ['26-24=2', '36-27=9']
Exploring Operation: 2*9=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
45,
37,
39,
25
] | 40 | [
"45-25=20",
"39-37=2",
"20*2=40"
] | Current State: 40:[45, 37, 39, 25], Operations: []
Exploring Operation: 45-25=20, Resulting Numbers: [37, 39, 20]
Generated Node #2: [37, 39, 20] from Operation: 45-25=20
Current State: 40:[37, 39, 20], Operations: ['45-25=20']
Exploring Operation: 39-37=2, Resulting Numbers: [20, 2]
Generated Node #3: [20, 2] from Operation: 39-37=2
Current State: 40:[20, 2], Operations: ['45-25=20', '39-37=2']
Exploring Operation: 20*2=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
69,
56,
5,
94
] | 29 | [
"69-56=13",
"5*13=65",
"94-65=29"
] | Current State: 29:[69, 56, 5, 94], Operations: []
Exploring Operation: 69-56=13, Resulting Numbers: [5, 94, 13]
Generated Node #2: [5, 94, 13] from Operation: 69-56=13
Current State: 29:[5, 94, 13], Operations: ['69-56=13']
Exploring Operation: 5*13=65, Resulting Numbers: [94, 65]
Generated Node #3: [94, 65] from Operation: 5*13=65
Current State: 29:[94, 65], Operations: ['69-56=13', '5*13=65']
Exploring Operation: 94-65=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
8,
1,
13,
10
] | 95 | [
"8*13=104",
"10-1=9",
"104-9=95"
] | Current State: 95:[8, 1, 13, 10], Operations: []
Exploring Operation: 8*13=104, Resulting Numbers: [1, 10, 104]
Generated Node #2: [1, 10, 104] from Operation: 8*13=104
Current State: 95:[1, 10, 104], Operations: ['8*13=104']
Exploring Operation: 10-1=9, Resulting Numbers: [104, 9]
Generated Node #3: [104, 9] from Operation: 10-1=9
Current State: 95:[104, 9], Operations: ['8*13=104', '10-1=9']
Exploring Operation: 104-9=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
11,
84,
51,
56
] | 29 | [
"56-51=5",
"11*5=55",
"84-55=29"
] | Current State: 29:[11, 84, 51, 56], Operations: []
Exploring Operation: 56-51=5, Resulting Numbers: [11, 84, 5]
Generated Node #2: [11, 84, 5] from Operation: 56-51=5
Current State: 29:[11, 84, 5], Operations: ['56-51=5']
Exploring Operation: 11*5=55, Resulting Numbers: [84, 55]
Generated Node #3: [84, 55] from Operation: 11*5=55
Current State: 29:[84, 55], Operations: ['56-51=5', '11*5=55']
Exploring Operation: 84-55=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
12,
13,
14,
94
] | 22 | [
"14+94=108",
"108/12=9",
"13+9=22"
] | Current State: 22:[12, 13, 14, 94], Operations: []
Exploring Operation: 14+94=108, Resulting Numbers: [12, 13, 108]
Generated Node #2: [12, 13, 108] from Operation: 14+94=108
Current State: 22:[12, 13, 108], Operations: ['14+94=108']
Exploring Operation: 108/12=9, Resulting Numbers: [13, 9]
Generated Node #3: [13, 9] from Operation: 108/12=9
Current State: 22:[13, 9], Operations: ['14+94=108', '108/12=9']
Exploring Operation: 13+9=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
88,
4,
54,
13
] | 90 | [
"88+54=142",
"4*13=52",
"142-52=90"
] | Current State: 90:[88, 4, 54, 13], Operations: []
Exploring Operation: 88+54=142, Resulting Numbers: [4, 13, 142]
Generated Node #2: [4, 13, 142] from Operation: 88+54=142
Current State: 90:[4, 13, 142], Operations: ['88+54=142']
Exploring Operation: 4*13=52, Resulting Numbers: [142, 52]
Generated Node #3: [142, 52] from Operation: 4*13=52
Current State: 90:[142, 52], Operations: ['88+54=142', '4*13=52']
Exploring Operation: 142-52=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
7,
57,
80,
45
] | 99 | [
"7+57=64",
"80-45=35",
"64+35=99"
] | Current State: 99:[7, 57, 80, 45], Operations: []
Exploring Operation: 7+57=64, Resulting Numbers: [80, 45, 64]
Generated Node #2: [80, 45, 64] from Operation: 7+57=64
Current State: 99:[80, 45, 64], Operations: ['7+57=64']
Exploring Operation: 80-45=35, Resulting Numbers: [64, 35]
Generated Node #3: [64, 35] from Operation: 80-45=35
Current State: 99:[64, 35], Operations: ['7+57=64', '80-45=35']
Exploring Operation: 64+35=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
30,
10,
25,
4
] | 49 | [
"30-10=20",
"25+4=29",
"20+29=49"
] | Current State: 49:[30, 10, 25, 4], Operations: []
Exploring Operation: 30-10=20, Resulting Numbers: [25, 4, 20]
Generated Node #2: [25, 4, 20] from Operation: 30-10=20
Current State: 49:[25, 4, 20], Operations: ['30-10=20']
Exploring Operation: 25+4=29, Resulting Numbers: [20, 29]
Generated Node #3: [20, 29] from Operation: 25+4=29
Current State: 49:[20, 29], Operations: ['30-10=20', '25+4=29']
Exploring Operation: 20+29=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
59,
43,
70,
19
] | 51 | [
"59+43=102",
"70-19=51",
"102-51=51"
] | Current State: 51:[59, 43, 70, 19], Operations: []
Exploring Operation: 59+43=102, Resulting Numbers: [70, 19, 102]
Generated Node #2: [70, 19, 102] from Operation: 59+43=102
Current State: 51:[70, 19, 102], Operations: ['59+43=102']
Exploring Operation: 70-19=51, Resulting Numbers: [102, 51]
Generated Node #3: [102, 51] from Operation: 70-19=51
Current State: 51:[102, 51], Operations: ['59+43=102', '70-19=51']
Exploring Operation: 102-51=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
29,
80,
53,
41
] | 97 | [
"29+80=109",
"53-41=12",
"109-12=97"
] | Current State: 97:[29, 80, 53, 41], Operations: []
Exploring Operation: 29+80=109, Resulting Numbers: [53, 41, 109]
Generated Node #2: [53, 41, 109] from Operation: 29+80=109
Current State: 97:[53, 41, 109], Operations: ['29+80=109']
Exploring Operation: 53-41=12, Resulting Numbers: [109, 12]
Generated Node #3: [109, 12] from Operation: 53-41=12
Current State: 97:[109, 12], Operations: ['29+80=109', '53-41=12']
Exploring Operation: 109-12=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
69,
95,
85,
22
] | 81 | [
"95-69=26",
"85+22=107",
"107-26=81"
] | Current State: 81:[69, 95, 85, 22], Operations: []
Exploring Operation: 95-69=26, Resulting Numbers: [85, 22, 26]
Generated Node #2: [85, 22, 26] from Operation: 95-69=26
Current State: 81:[85, 22, 26], Operations: ['95-69=26']
Exploring Operation: 85+22=107, Resulting Numbers: [26, 107]
Generated Node #3: [26, 107] from Operation: 85+22=107
Current State: 81:[26, 107], Operations: ['95-69=26', '85+22=107']
Exploring Operation: 107-26=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
4,
20,
12,
64
] | 33 | [
"20+64=84",
"84/4=21",
"12+21=33"
] | Current State: 33:[4, 20, 12, 64], Operations: []
Exploring Operation: 20+64=84, Resulting Numbers: [4, 12, 84]
Generated Node #2: [4, 12, 84] from Operation: 20+64=84
Current State: 33:[4, 12, 84], Operations: ['20+64=84']
Exploring Operation: 84/4=21, Resulting Numbers: [12, 21]
Generated Node #3: [12, 21] from Operation: 84/4=21
Current State: 33:[12, 21], Operations: ['20+64=84', '84/4=21']
Exploring Operation: 12+21=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
76,
65,
2,
72
] | 25 | [
"76-65=11",
"72/2=36",
"36-11=25"
] | Current State: 25:[76, 65, 2, 72], Operations: []
Exploring Operation: 76-65=11, Resulting Numbers: [2, 72, 11]
Generated Node #2: [2, 72, 11] from Operation: 76-65=11
Current State: 25:[2, 72, 11], Operations: ['76-65=11']
Exploring Operation: 72/2=36, Resulting Numbers: [11, 36]
Generated Node #3: [11, 36] from Operation: 72/2=36
Current State: 25:[11, 36], Operations: ['76-65=11', '72/2=36']
Exploring Operation: 36-11=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
9,
27,
60,
71
] | 14 | [
"27/9=3",
"71-60=11",
"3+11=14"
] | Current State: 14:[9, 27, 60, 71], Operations: []
Exploring Operation: 27/9=3, Resulting Numbers: [60, 71, 3]
Generated Node #2: [60, 71, 3] from Operation: 27/9=3
Current State: 14:[60, 71, 3], Operations: ['27/9=3']
Exploring Operation: 71-60=11, Resulting Numbers: [3, 11]
Generated Node #3: [3, 11] from Operation: 71-60=11
Current State: 14:[3, 11], Operations: ['27/9=3', '71-60=11']
Exploring Operation: 3+11=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
4,
32,
85,
92
] | 56 | [
"32/4=8",
"92-85=7",
"8*7=56"
] | Current State: 56:[4, 32, 85, 92], Operations: []
Exploring Operation: 32/4=8, Resulting Numbers: [85, 92, 8]
Generated Node #2: [85, 92, 8] from Operation: 32/4=8
Current State: 56:[85, 92, 8], Operations: ['32/4=8']
Exploring Operation: 92-85=7, Resulting Numbers: [8, 7]
Generated Node #3: [8, 7] from Operation: 92-85=7
Current State: 56:[8, 7], Operations: ['32/4=8', '92-85=7']
Exploring Operation: 8*7=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
87,
11,
80,
81
] | 75 | [
"87-11=76",
"81-80=1",
"76-1=75"
] | Current State: 75:[87, 11, 80, 81], Operations: []
Exploring Operation: 87-11=76, Resulting Numbers: [80, 81, 76]
Generated Node #2: [80, 81, 76] from Operation: 87-11=76
Current State: 75:[80, 81, 76], Operations: ['87-11=76']
Exploring Operation: 81-80=1, Resulting Numbers: [76, 1]
Generated Node #3: [76, 1] from Operation: 81-80=1
Current State: 75:[76, 1], Operations: ['87-11=76', '81-80=1']
Exploring Operation: 76-1=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
22,
79,
35,
42
] | 94 | [
"22+79=101",
"42-35=7",
"101-7=94"
] | Current State: 94:[22, 79, 35, 42], Operations: []
Exploring Operation: 22+79=101, Resulting Numbers: [35, 42, 101]
Generated Node #2: [35, 42, 101] from Operation: 22+79=101
Current State: 94:[35, 42, 101], Operations: ['22+79=101']
Exploring Operation: 42-35=7, Resulting Numbers: [101, 7]
Generated Node #3: [101, 7] from Operation: 42-35=7
Current State: 94:[101, 7], Operations: ['22+79=101', '42-35=7']
Exploring Operation: 101-7=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
87,
45,
48,
51
] | 89 | [
"45+51=96",
"96/48=2",
"87+2=89"
] | Current State: 89:[87, 45, 48, 51], Operations: []
Exploring Operation: 45+51=96, Resulting Numbers: [87, 48, 96]
Generated Node #2: [87, 48, 96] from Operation: 45+51=96
Current State: 89:[87, 48, 96], Operations: ['45+51=96']
Exploring Operation: 96/48=2, Resulting Numbers: [87, 2]
Generated Node #3: [87, 2] from Operation: 96/48=2
Current State: 89:[87, 2], Operations: ['45+51=96', '96/48=2']
Exploring Operation: 87+2=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
65,
29,
26,
77
] | 15 | [
"65-29=36",
"77-26=51",
"51-36=15"
] | Current State: 15:[65, 29, 26, 77], Operations: []
Exploring Operation: 65-29=36, Resulting Numbers: [26, 77, 36]
Generated Node #2: [26, 77, 36] from Operation: 65-29=36
Current State: 15:[26, 77, 36], Operations: ['65-29=36']
Exploring Operation: 77-26=51, Resulting Numbers: [36, 51]
Generated Node #3: [36, 51] from Operation: 77-26=51
Current State: 15:[36, 51], Operations: ['65-29=36', '77-26=51']
Exploring Operation: 51-36=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
5,
5,
4,
20
] | 99 | [
"5-4=1",
"5*20=100",
"100-1=99"
] | Current State: 99:[5, 5, 4, 20], Operations: []
Exploring Operation: 5-4=1, Resulting Numbers: [20, 1]
Generated Node #2: [20, 1] from Operation: 5-4=1
Current State: 99:[20, 1], Operations: ['5-4=1']
Exploring Operation: 5*20=100, Resulting Numbers: [1, 100]
Generated Node #3: [1, 100] from Operation: 5*20=100
Current State: 99:[1, 100], Operations: ['5-4=1', '5*20=100']
Exploring Operation: 100-1=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
23,
79,
16,
23
] | 62 | [
"23/23=1",
"79-16=63",
"63-1=62"
] | Current State: 62:[23, 79, 16, 23], Operations: []
Exploring Operation: 23/23=1, Resulting Numbers: [79, 16, 1]
Generated Node #2: [79, 16, 1] from Operation: 23/23=1
Current State: 62:[79, 16, 1], Operations: ['23/23=1']
Exploring Operation: 79-16=63, Resulting Numbers: [1, 63]
Generated Node #3: [1, 63] from Operation: 79-16=63
Current State: 62:[1, 63], Operations: ['23/23=1', '79-16=63']
Exploring Operation: 63-1=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
2,
54,
95,
41
] | 81 | [
"54/2=27",
"95-41=54",
"27+54=81"
] | Current State: 81:[2, 54, 95, 41], Operations: []
Exploring Operation: 54/2=27, Resulting Numbers: [95, 41, 27]
Generated Node #2: [95, 41, 27] from Operation: 54/2=27
Current State: 81:[95, 41, 27], Operations: ['54/2=27']
Exploring Operation: 95-41=54, Resulting Numbers: [27, 54]
Generated Node #3: [27, 54] from Operation: 95-41=54
Current State: 81:[27, 54], Operations: ['54/2=27', '95-41=54']
Exploring Operation: 27+54=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
39,
36,
23,
51
] | 77 | [
"39-36=3",
"23+51=74",
"3+74=77"
] | Current State: 77:[39, 36, 23, 51], Operations: []
Exploring Operation: 39-36=3, Resulting Numbers: [23, 51, 3]
Generated Node #2: [23, 51, 3] from Operation: 39-36=3
Current State: 77:[23, 51, 3], Operations: ['39-36=3']
Exploring Operation: 23+51=74, Resulting Numbers: [3, 74]
Generated Node #3: [3, 74] from Operation: 23+51=74
Current State: 77:[3, 74], Operations: ['39-36=3', '23+51=74']
Exploring Operation: 3+74=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
89,
77,
46,
66
] | 79 | [
"89-66=23",
"46/23=2",
"77+2=79"
] | Current State: 79:[89, 77, 46, 66], Operations: []
Exploring Operation: 89-66=23, Resulting Numbers: [77, 46, 23]
Generated Node #2: [77, 46, 23] from Operation: 89-66=23
Current State: 79:[77, 46, 23], Operations: ['89-66=23']
Exploring Operation: 46/23=2, Resulting Numbers: [77, 2]
Generated Node #3: [77, 2] from Operation: 46/23=2
Current State: 79:[77, 2], Operations: ['89-66=23', '46/23=2']
Exploring Operation: 77+2=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
37,
3,
53,
91
] | 78 | [
"37+3=40",
"91-53=38",
"40+38=78"
] | Current State: 78:[37, 3, 53, 91], Operations: []
Exploring Operation: 37+3=40, Resulting Numbers: [53, 91, 40]
Generated Node #2: [53, 91, 40] from Operation: 37+3=40
Current State: 78:[53, 91, 40], Operations: ['37+3=40']
Exploring Operation: 91-53=38, Resulting Numbers: [40, 38]
Generated Node #3: [40, 38] from Operation: 91-53=38
Current State: 78:[40, 38], Operations: ['37+3=40', '91-53=38']
Exploring Operation: 40+38=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
82,
9,
5,
15
] | 71 | [
"82+9=91",
"5+15=20",
"91-20=71"
] | Current State: 71:[82, 9, 5, 15], Operations: []
Exploring Operation: 82+9=91, Resulting Numbers: [5, 15, 91]
Generated Node #2: [5, 15, 91] from Operation: 82+9=91
Current State: 71:[5, 15, 91], Operations: ['82+9=91']
Exploring Operation: 5+15=20, Resulting Numbers: [91, 20]
Generated Node #3: [91, 20] from Operation: 5+15=20
Current State: 71:[91, 20], Operations: ['82+9=91', '5+15=20']
Exploring Operation: 91-20=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
82,
50,
47,
42
] | 72 | [
"47-42=5",
"50/5=10",
"82-10=72"
] | Current State: 72:[82, 50, 47, 42], Operations: []
Exploring Operation: 47-42=5, Resulting Numbers: [82, 50, 5]
Generated Node #2: [82, 50, 5] from Operation: 47-42=5
Current State: 72:[82, 50, 5], Operations: ['47-42=5']
Exploring Operation: 50/5=10, Resulting Numbers: [82, 10]
Generated Node #3: [82, 10] from Operation: 50/5=10
Current State: 72:[82, 10], Operations: ['47-42=5', '50/5=10']
Exploring Operation: 82-10=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
68,
28,
16,
36
] | 76 | [
"68+28=96",
"36-16=20",
"96-20=76"
] | Current State: 76:[68, 28, 16, 36], Operations: []
Exploring Operation: 68+28=96, Resulting Numbers: [16, 36, 96]
Generated Node #2: [16, 36, 96] from Operation: 68+28=96
Current State: 76:[16, 36, 96], Operations: ['68+28=96']
Exploring Operation: 36-16=20, Resulting Numbers: [96, 20]
Generated Node #3: [96, 20] from Operation: 36-16=20
Current State: 76:[96, 20], Operations: ['68+28=96', '36-16=20']
Exploring Operation: 96-20=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
27,
63,
35,
89
] | 35 | [
"27+63=90",
"90-89=1",
"35*1=35"
] | Current State: 35:[27, 63, 35, 89], Operations: []
Exploring Operation: 27+63=90, Resulting Numbers: [35, 89, 90]
Generated Node #2: [35, 89, 90] from Operation: 27+63=90
Current State: 35:[35, 89, 90], Operations: ['27+63=90']
Exploring Operation: 90-89=1, Resulting Numbers: [35, 1]
Generated Node #3: [35, 1] from Operation: 90-89=1
Current State: 35:[35, 1], Operations: ['27+63=90', '90-89=1']
Exploring Operation: 35*1=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
40,
5,
90,
74
] | 19 | [
"40-5=35",
"90-74=16",
"35-16=19"
] | Current State: 19:[40, 5, 90, 74], Operations: []
Exploring Operation: 40-5=35, Resulting Numbers: [90, 74, 35]
Generated Node #2: [90, 74, 35] from Operation: 40-5=35
Current State: 19:[90, 74, 35], Operations: ['40-5=35']
Exploring Operation: 90-74=16, Resulting Numbers: [35, 16]
Generated Node #3: [35, 16] from Operation: 90-74=16
Current State: 19:[35, 16], Operations: ['40-5=35', '90-74=16']
Exploring Operation: 35-16=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
17,
58,
84,
20
] | 90 | [
"20-17=3",
"58*3=174",
"174-84=90"
] | Current State: 90:[17, 58, 84, 20], Operations: []
Exploring Operation: 20-17=3, Resulting Numbers: [58, 84, 3]
Generated Node #2: [58, 84, 3] from Operation: 20-17=3
Current State: 90:[58, 84, 3], Operations: ['20-17=3']
Exploring Operation: 58*3=174, Resulting Numbers: [84, 174]
Generated Node #3: [84, 174] from Operation: 58*3=174
Current State: 90:[84, 174], Operations: ['20-17=3', '58*3=174']
Exploring Operation: 174-84=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
68,
72,
48,
71
] | 19 | [
"72-68=4",
"71-48=23",
"23-4=19"
] | Current State: 19:[68, 72, 48, 71], Operations: []
Exploring Operation: 72-68=4, Resulting Numbers: [48, 71, 4]
Generated Node #2: [48, 71, 4] from Operation: 72-68=4
Current State: 19:[48, 71, 4], Operations: ['72-68=4']
Exploring Operation: 71-48=23, Resulting Numbers: [4, 23]
Generated Node #3: [4, 23] from Operation: 71-48=23
Current State: 19:[4, 23], Operations: ['72-68=4', '71-48=23']
Exploring Operation: 23-4=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
71,
77,
4,
37
] | 61 | [
"77-71=6",
"4*6=24",
"37+24=61"
] | Current State: 61:[71, 77, 4, 37], Operations: []
Exploring Operation: 77-71=6, Resulting Numbers: [4, 37, 6]
Generated Node #2: [4, 37, 6] from Operation: 77-71=6
Current State: 61:[4, 37, 6], Operations: ['77-71=6']
Exploring Operation: 4*6=24, Resulting Numbers: [37, 24]
Generated Node #3: [37, 24] from Operation: 4*6=24
Current State: 61:[37, 24], Operations: ['77-71=6', '4*6=24']
Exploring Operation: 37+24=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
6,
11,
40,
4
] | 61 | [
"6+11=17",
"40+4=44",
"17+44=61"
] | Current State: 61:[6, 11, 40, 4], Operations: []
Exploring Operation: 6+11=17, Resulting Numbers: [40, 4, 17]
Generated Node #2: [40, 4, 17] from Operation: 6+11=17
Current State: 61:[40, 4, 17], Operations: ['6+11=17']
Exploring Operation: 40+4=44, Resulting Numbers: [17, 44]
Generated Node #3: [17, 44] from Operation: 40+4=44
Current State: 61:[17, 44], Operations: ['6+11=17', '40+4=44']
Exploring Operation: 17+44=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
43,
68,
16,
81
] | 65 | [
"43-16=27",
"81/27=3",
"68-3=65"
] | Current State: 65:[43, 68, 16, 81], Operations: []
Exploring Operation: 43-16=27, Resulting Numbers: [68, 81, 27]
Generated Node #2: [68, 81, 27] from Operation: 43-16=27
Current State: 65:[68, 81, 27], Operations: ['43-16=27']
Exploring Operation: 81/27=3, Resulting Numbers: [68, 3]
Generated Node #3: [68, 3] from Operation: 81/27=3
Current State: 65:[68, 3], Operations: ['43-16=27', '81/27=3']
Exploring Operation: 68-3=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
81,
51,
5,
70
] | 44 | [
"81-51=30",
"70/5=14",
"30+14=44"
] | Current State: 44:[81, 51, 5, 70], Operations: []
Exploring Operation: 81-51=30, Resulting Numbers: [5, 70, 30]
Generated Node #2: [5, 70, 30] from Operation: 81-51=30
Current State: 44:[5, 70, 30], Operations: ['81-51=30']
Exploring Operation: 70/5=14, Resulting Numbers: [30, 14]
Generated Node #3: [30, 14] from Operation: 70/5=14
Current State: 44:[30, 14], Operations: ['81-51=30', '70/5=14']
Exploring Operation: 30+14=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
40,
76,
12,
4
] | 54 | [
"40/4=10",
"76-12=64",
"64-10=54"
] | Current State: 54:[40, 76, 12, 4], Operations: []
Exploring Operation: 40/4=10, Resulting Numbers: [76, 12, 10]
Generated Node #2: [76, 12, 10] from Operation: 40/4=10
Current State: 54:[76, 12, 10], Operations: ['40/4=10']
Exploring Operation: 76-12=64, Resulting Numbers: [10, 64]
Generated Node #3: [10, 64] from Operation: 76-12=64
Current State: 54:[10, 64], Operations: ['40/4=10', '76-12=64']
Exploring Operation: 64-10=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
3,
5,
85,
10
] | 73 | [
"5-3=2",
"85-10=75",
"75-2=73"
] | Current State: 73:[3, 5, 85, 10], Operations: []
Exploring Operation: 5-3=2, Resulting Numbers: [85, 10, 2]
Generated Node #2: [85, 10, 2] from Operation: 5-3=2
Current State: 73:[85, 10, 2], Operations: ['5-3=2']
Exploring Operation: 85-10=75, Resulting Numbers: [2, 75]
Generated Node #3: [2, 75] from Operation: 85-10=75
Current State: 73:[2, 75], Operations: ['5-3=2', '85-10=75']
Exploring Operation: 75-2=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
7,
66,
99,
2
] | 55 | [
"7+2=9",
"99/9=11",
"66-11=55"
] | Current State: 55:[7, 66, 99, 2], Operations: []
Exploring Operation: 7+2=9, Resulting Numbers: [66, 99, 9]
Generated Node #2: [66, 99, 9] from Operation: 7+2=9
Current State: 55:[66, 99, 9], Operations: ['7+2=9']
Exploring Operation: 99/9=11, Resulting Numbers: [66, 11]
Generated Node #3: [66, 11] from Operation: 99/9=11
Current State: 55:[66, 11], Operations: ['7+2=9', '99/9=11']
Exploring Operation: 66-11=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
32,
86,
35,
64
] | 45 | [
"86-32=54",
"35+64=99",
"99-54=45"
] | Current State: 45:[32, 86, 35, 64], Operations: []
Exploring Operation: 86-32=54, Resulting Numbers: [35, 64, 54]
Generated Node #2: [35, 64, 54] from Operation: 86-32=54
Current State: 45:[35, 64, 54], Operations: ['86-32=54']
Exploring Operation: 35+64=99, Resulting Numbers: [54, 99]
Generated Node #3: [54, 99] from Operation: 35+64=99
Current State: 45:[54, 99], Operations: ['86-32=54', '35+64=99']
Exploring Operation: 99-54=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
22,
56,
63,
82
] | 53 | [
"56-22=34",
"82-63=19",
"34+19=53"
] | Current State: 53:[22, 56, 63, 82], Operations: []
Exploring Operation: 56-22=34, Resulting Numbers: [63, 82, 34]
Generated Node #2: [63, 82, 34] from Operation: 56-22=34
Current State: 53:[63, 82, 34], Operations: ['56-22=34']
Exploring Operation: 82-63=19, Resulting Numbers: [34, 19]
Generated Node #3: [34, 19] from Operation: 82-63=19
Current State: 53:[34, 19], Operations: ['56-22=34', '82-63=19']
Exploring Operation: 34+19=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
78,
80,
20,
64
] | 12 | [
"80-78=2",
"64/2=32",
"32-20=12"
] | Current State: 12:[78, 80, 20, 64], Operations: []
Exploring Operation: 80-78=2, Resulting Numbers: [20, 64, 2]
Generated Node #2: [20, 64, 2] from Operation: 80-78=2
Current State: 12:[20, 64, 2], Operations: ['80-78=2']
Exploring Operation: 64/2=32, Resulting Numbers: [20, 32]
Generated Node #3: [20, 32] from Operation: 64/2=32
Current State: 12:[20, 32], Operations: ['80-78=2', '64/2=32']
Exploring Operation: 32-20=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
7,
93,
41,
76
] | 31 | [
"93-7=86",
"41+76=117",
"117-86=31"
] | Current State: 31:[7, 93, 41, 76], Operations: []
Exploring Operation: 93-7=86, Resulting Numbers: [41, 76, 86]
Generated Node #2: [41, 76, 86] from Operation: 93-7=86
Current State: 31:[41, 76, 86], Operations: ['93-7=86']
Exploring Operation: 41+76=117, Resulting Numbers: [86, 117]
Generated Node #3: [86, 117] from Operation: 41+76=117
Current State: 31:[86, 117], Operations: ['93-7=86', '41+76=117']
Exploring Operation: 117-86=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
64,
76,
98,
81
] | 74 | [
"64+98=162",
"162/81=2",
"76-2=74"
] | Current State: 74:[64, 76, 98, 81], Operations: []
Exploring Operation: 64+98=162, Resulting Numbers: [76, 81, 162]
Generated Node #2: [76, 81, 162] from Operation: 64+98=162
Current State: 74:[76, 81, 162], Operations: ['64+98=162']
Exploring Operation: 162/81=2, Resulting Numbers: [76, 2]
Generated Node #3: [76, 2] from Operation: 162/81=2
Current State: 74:[76, 2], Operations: ['64+98=162', '162/81=2']
Exploring Operation: 76-2=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
2,
60,
3,
9
] | 57 | [
"60/2=30",
"3*9=27",
"30+27=57"
] | Current State: 57:[2, 60, 3, 9], Operations: []
Exploring Operation: 60/2=30, Resulting Numbers: [3, 9, 30]
Generated Node #2: [3, 9, 30] from Operation: 60/2=30
Current State: 57:[3, 9, 30], Operations: ['60/2=30']
Exploring Operation: 3*9=27, Resulting Numbers: [30, 27]
Generated Node #3: [30, 27] from Operation: 3*9=27
Current State: 57:[30, 27], Operations: ['60/2=30', '3*9=27']
Exploring Operation: 30+27=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
61,
44,
42,
23
] | 82 | [
"61-44=17",
"42+23=65",
"17+65=82"
] | Current State: 82:[61, 44, 42, 23], Operations: []
Exploring Operation: 61-44=17, Resulting Numbers: [42, 23, 17]
Generated Node #2: [42, 23, 17] from Operation: 61-44=17
Current State: 82:[42, 23, 17], Operations: ['61-44=17']
Exploring Operation: 42+23=65, Resulting Numbers: [17, 65]
Generated Node #3: [17, 65] from Operation: 42+23=65
Current State: 82:[17, 65], Operations: ['61-44=17', '42+23=65']
Exploring Operation: 17+65=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
72,
19,
14,
65
] | 26 | [
"72-19=53",
"14+65=79",
"79-53=26"
] | Current State: 26:[72, 19, 14, 65], Operations: []
Exploring Operation: 72-19=53, Resulting Numbers: [14, 65, 53]
Generated Node #2: [14, 65, 53] from Operation: 72-19=53
Current State: 26:[14, 65, 53], Operations: ['72-19=53']
Exploring Operation: 14+65=79, Resulting Numbers: [53, 79]
Generated Node #3: [53, 79] from Operation: 14+65=79
Current State: 26:[53, 79], Operations: ['72-19=53', '14+65=79']
Exploring Operation: 79-53=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
64,
63,
55,
60
] | 67 | [
"64-55=9",
"63/9=7",
"60+7=67"
] | Current State: 67:[64, 63, 55, 60], Operations: []
Exploring Operation: 64-55=9, Resulting Numbers: [63, 60, 9]
Generated Node #2: [63, 60, 9] from Operation: 64-55=9
Current State: 67:[63, 60, 9], Operations: ['64-55=9']
Exploring Operation: 63/9=7, Resulting Numbers: [60, 7]
Generated Node #3: [60, 7] from Operation: 63/9=7
Current State: 67:[60, 7], Operations: ['64-55=9', '63/9=7']
Exploring Operation: 60+7=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
1,
89,
86,
63
] | 65 | [
"89-1=88",
"86-63=23",
"88-23=65"
] | Current State: 65:[1, 89, 86, 63], Operations: []
Exploring Operation: 89-1=88, Resulting Numbers: [86, 63, 88]
Generated Node #2: [86, 63, 88] from Operation: 89-1=88
Current State: 65:[86, 63, 88], Operations: ['89-1=88']
Exploring Operation: 86-63=23, Resulting Numbers: [88, 23]
Generated Node #3: [88, 23] from Operation: 86-63=23
Current State: 65:[88, 23], Operations: ['89-1=88', '86-63=23']
Exploring Operation: 88-23=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
77,
79,
78,
81
] | 38 | [
"81-79=2",
"78/2=39",
"77-39=38"
] | Current State: 38:[77, 79, 78, 81], Operations: []
Exploring Operation: 81-79=2, Resulting Numbers: [77, 78, 2]
Generated Node #2: [77, 78, 2] from Operation: 81-79=2
Current State: 38:[77, 78, 2], Operations: ['81-79=2']
Exploring Operation: 78/2=39, Resulting Numbers: [77, 39]
Generated Node #3: [77, 39] from Operation: 78/2=39
Current State: 38:[77, 39], Operations: ['81-79=2', '78/2=39']
Exploring Operation: 77-39=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
29,
4,
27,
94
] | 42 | [
"29-4=25",
"94-27=67",
"67-25=42"
] | Current State: 42:[29, 4, 27, 94], Operations: []
Exploring Operation: 29-4=25, Resulting Numbers: [27, 94, 25]
Generated Node #2: [27, 94, 25] from Operation: 29-4=25
Current State: 42:[27, 94, 25], Operations: ['29-4=25']
Exploring Operation: 94-27=67, Resulting Numbers: [25, 67]
Generated Node #3: [25, 67] from Operation: 94-27=67
Current State: 42:[25, 67], Operations: ['29-4=25', '94-27=67']
Exploring Operation: 67-25=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
30,
52,
58,
29
] | 24 | [
"52-30=22",
"58/29=2",
"22+2=24"
] | Current State: 24:[30, 52, 58, 29], Operations: []
Exploring Operation: 52-30=22, Resulting Numbers: [58, 29, 22]
Generated Node #2: [58, 29, 22] from Operation: 52-30=22
Current State: 24:[58, 29, 22], Operations: ['52-30=22']
Exploring Operation: 58/29=2, Resulting Numbers: [22, 2]
Generated Node #3: [22, 2] from Operation: 58/29=2
Current State: 24:[22, 2], Operations: ['52-30=22', '58/29=2']
Exploring Operation: 22+2=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
60,
71,
36,
48
] | 95 | [
"71-60=11",
"36+48=84",
"11+84=95"
] | Current State: 95:[60, 71, 36, 48], Operations: []
Exploring Operation: 71-60=11, Resulting Numbers: [36, 48, 11]
Generated Node #2: [36, 48, 11] from Operation: 71-60=11
Current State: 95:[36, 48, 11], Operations: ['71-60=11']
Exploring Operation: 36+48=84, Resulting Numbers: [11, 84]
Generated Node #3: [11, 84] from Operation: 36+48=84
Current State: 95:[11, 84], Operations: ['71-60=11', '36+48=84']
Exploring Operation: 11+84=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
4,
46,
74,
65
] | 35 | [
"46+74=120",
"120/4=30",
"65-30=35"
] | Current State: 35:[4, 46, 74, 65], Operations: []
Exploring Operation: 46+74=120, Resulting Numbers: [4, 65, 120]
Generated Node #2: [4, 65, 120] from Operation: 46+74=120
Current State: 35:[4, 65, 120], Operations: ['46+74=120']
Exploring Operation: 120/4=30, Resulting Numbers: [65, 30]
Generated Node #3: [65, 30] from Operation: 120/4=30
Current State: 35:[65, 30], Operations: ['46+74=120', '120/4=30']
Exploring Operation: 65-30=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
88,
54,
2,
62
] | 82 | [
"88+54=142",
"62-2=60",
"142-60=82"
] | Current State: 82:[88, 54, 2, 62], Operations: []
Exploring Operation: 88+54=142, Resulting Numbers: [2, 62, 142]
Generated Node #2: [2, 62, 142] from Operation: 88+54=142
Current State: 82:[2, 62, 142], Operations: ['88+54=142']
Exploring Operation: 62-2=60, Resulting Numbers: [142, 60]
Generated Node #3: [142, 60] from Operation: 62-2=60
Current State: 82:[142, 60], Operations: ['88+54=142', '62-2=60']
Exploring Operation: 142-60=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
70,
52,
23,
36
] | 63 | [
"70+52=122",
"23+36=59",
"122-59=63"
] | Current State: 63:[70, 52, 23, 36], Operations: []
Exploring Operation: 70+52=122, Resulting Numbers: [23, 36, 122]
Generated Node #2: [23, 36, 122] from Operation: 70+52=122
Current State: 63:[23, 36, 122], Operations: ['70+52=122']
Exploring Operation: 23+36=59, Resulting Numbers: [122, 59]
Generated Node #3: [122, 59] from Operation: 23+36=59
Current State: 63:[122, 59], Operations: ['70+52=122', '23+36=59']
Exploring Operation: 122-59=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
26,
75,
36,
65
] | 20 | [
"75-26=49",
"65-36=29",
"49-29=20"
] | Current State: 20:[26, 75, 36, 65], Operations: []
Exploring Operation: 75-26=49, Resulting Numbers: [36, 65, 49]
Generated Node #2: [36, 65, 49] from Operation: 75-26=49
Current State: 20:[36, 65, 49], Operations: ['75-26=49']
Exploring Operation: 65-36=29, Resulting Numbers: [49, 29]
Generated Node #3: [49, 29] from Operation: 65-36=29
Current State: 20:[49, 29], Operations: ['75-26=49', '65-36=29']
Exploring Operation: 49-29=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
11,
19,
2,
31
] | 91 | [
"11+19=30",
"2*30=60",
"31+60=91"
] | Current State: 91:[11, 19, 2, 31], Operations: []
Exploring Operation: 11+19=30, Resulting Numbers: [2, 31, 30]
Generated Node #2: [2, 31, 30] from Operation: 11+19=30
Current State: 91:[2, 31, 30], Operations: ['11+19=30']
Exploring Operation: 2*30=60, Resulting Numbers: [31, 60]
Generated Node #3: [31, 60] from Operation: 2*30=60
Current State: 91:[31, 60], Operations: ['11+19=30', '2*30=60']
Exploring Operation: 31+60=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
55,
21,
18,
11
] | 92 | [
"18-11=7",
"21*7=147",
"147-55=92"
] | Current State: 92:[55, 21, 18, 11], Operations: []
Exploring Operation: 18-11=7, Resulting Numbers: [55, 21, 7]
Generated Node #2: [55, 21, 7] from Operation: 18-11=7
Current State: 92:[55, 21, 7], Operations: ['18-11=7']
Exploring Operation: 21*7=147, Resulting Numbers: [55, 147]
Generated Node #3: [55, 147] from Operation: 21*7=147
Current State: 92:[55, 147], Operations: ['18-11=7', '21*7=147']
Exploring Operation: 147-55=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
8,
92,
42,
20
] | 51 | [
"92-20=72",
"72/8=9",
"42+9=51"
] | Current State: 51:[8, 92, 42, 20], Operations: []
Exploring Operation: 92-20=72, Resulting Numbers: [8, 42, 72]
Generated Node #2: [8, 42, 72] from Operation: 92-20=72
Current State: 51:[8, 42, 72], Operations: ['92-20=72']
Exploring Operation: 72/8=9, Resulting Numbers: [42, 9]
Generated Node #3: [42, 9] from Operation: 72/8=9
Current State: 51:[42, 9], Operations: ['92-20=72', '72/8=9']
Exploring Operation: 42+9=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
24,
18,
50,
36
] | 57 | [
"50*36=1800",
"1800/24=75",
"75-18=57"
] | Current State: 57:[24, 18, 50, 36], Operations: []
Exploring Operation: 50*36=1800, Resulting Numbers: [24, 18, 1800]
Generated Node #2: [24, 18, 1800] from Operation: 50*36=1800
Current State: 57:[24, 18, 1800], Operations: ['50*36=1800']
Exploring Operation: 1800/24=75, Resulting Numbers: [18, 75]
Generated Node #3: [18, 75] from Operation: 1800/24=75
Current State: 57:[18, 75], Operations: ['50*36=1800', '1800/24=75']
Exploring Operation: 75-18=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
43,
78,
49,
32
] | 40 | [
"43+78=121",
"49+32=81",
"121-81=40"
] | Current State: 40:[43, 78, 49, 32], Operations: []
Exploring Operation: 43+78=121, Resulting Numbers: [49, 32, 121]
Generated Node #2: [49, 32, 121] from Operation: 43+78=121
Current State: 40:[49, 32, 121], Operations: ['43+78=121']
Exploring Operation: 49+32=81, Resulting Numbers: [121, 81]
Generated Node #3: [121, 81] from Operation: 49+32=81
Current State: 40:[121, 81], Operations: ['43+78=121', '49+32=81']
Exploring Operation: 121-81=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
47,
41,
78,
30
] | 20 | [
"47+41=88",
"78+30=108",
"108-88=20"
] | Current State: 20:[47, 41, 78, 30], Operations: []
Exploring Operation: 47+41=88, Resulting Numbers: [78, 30, 88]
Generated Node #2: [78, 30, 88] from Operation: 47+41=88
Current State: 20:[78, 30, 88], Operations: ['47+41=88']
Exploring Operation: 78+30=108, Resulting Numbers: [88, 108]
Generated Node #3: [88, 108] from Operation: 78+30=108
Current State: 20:[88, 108], Operations: ['47+41=88', '78+30=108']
Exploring Operation: 108-88=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
29,
42,
77,
12
] | 52 | [
"42-29=13",
"77-12=65",
"65-13=52"
] | Current State: 52:[29, 42, 77, 12], Operations: []
Exploring Operation: 42-29=13, Resulting Numbers: [77, 12, 13]
Generated Node #2: [77, 12, 13] from Operation: 42-29=13
Current State: 52:[77, 12, 13], Operations: ['42-29=13']
Exploring Operation: 77-12=65, Resulting Numbers: [13, 65]
Generated Node #3: [13, 65] from Operation: 77-12=65
Current State: 52:[13, 65], Operations: ['42-29=13', '77-12=65']
Exploring Operation: 65-13=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
39,
13,
96,
14
] | 84 | [
"39-13=26",
"96+14=110",
"110-26=84"
] | Current State: 84:[39, 13, 96, 14], Operations: []
Exploring Operation: 39-13=26, Resulting Numbers: [96, 14, 26]
Generated Node #2: [96, 14, 26] from Operation: 39-13=26
Current State: 84:[96, 14, 26], Operations: ['39-13=26']
Exploring Operation: 96+14=110, Resulting Numbers: [26, 110]
Generated Node #3: [26, 110] from Operation: 96+14=110
Current State: 84:[26, 110], Operations: ['39-13=26', '96+14=110']
Exploring Operation: 110-26=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
30,
2,
40,
48
] | 68 | [
"30*2=60",
"48-40=8",
"60+8=68"
] | Current State: 68:[30, 2, 40, 48], Operations: []
Exploring Operation: 30*2=60, Resulting Numbers: [40, 48, 60]
Generated Node #2: [40, 48, 60] from Operation: 30*2=60
Current State: 68:[40, 48, 60], Operations: ['30*2=60']
Exploring Operation: 48-40=8, Resulting Numbers: [60, 8]
Generated Node #3: [60, 8] from Operation: 48-40=8
Current State: 68:[60, 8], Operations: ['30*2=60', '48-40=8']
Exploring Operation: 60+8=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
11,
17,
49,
66
] | 53 | [
"66/11=6",
"17*6=102",
"102-49=53"
] | Current State: 53:[11, 17, 49, 66], Operations: []
Exploring Operation: 66/11=6, Resulting Numbers: [17, 49, 6]
Generated Node #2: [17, 49, 6] from Operation: 66/11=6
Current State: 53:[17, 49, 6], Operations: ['66/11=6']
Exploring Operation: 17*6=102, Resulting Numbers: [49, 102]
Generated Node #3: [49, 102] from Operation: 17*6=102
Current State: 53:[49, 102], Operations: ['66/11=6', '17*6=102']
Exploring Operation: 102-49=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
16,
12,
7,
3
] | 53 | [
"16*3=48",
"12-7=5",
"48+5=53"
] | Current State: 53:[16, 12, 7, 3], Operations: []
Exploring Operation: 16*3=48, Resulting Numbers: [12, 7, 48]
Generated Node #2: [12, 7, 48] from Operation: 16*3=48
Current State: 53:[12, 7, 48], Operations: ['16*3=48']
Exploring Operation: 12-7=5, Resulting Numbers: [48, 5]
Generated Node #3: [48, 5] from Operation: 12-7=5
Current State: 53:[48, 5], Operations: ['16*3=48', '12-7=5']
Exploring Operation: 48+5=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
2,
84,
75,
32
] | 49 | [
"84-32=52",
"52/2=26",
"75-26=49"
] | Current State: 49:[2, 84, 75, 32], Operations: []
Exploring Operation: 84-32=52, Resulting Numbers: [2, 75, 52]
Generated Node #2: [2, 75, 52] from Operation: 84-32=52
Current State: 49:[2, 75, 52], Operations: ['84-32=52']
Exploring Operation: 52/2=26, Resulting Numbers: [75, 26]
Generated Node #3: [75, 26] from Operation: 52/2=26
Current State: 49:[75, 26], Operations: ['84-32=52', '52/2=26']
Exploring Operation: 75-26=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
63,
14,
80,
51
] | 54 | [
"63+14=77",
"80+51=131",
"131-77=54"
] | Current State: 54:[63, 14, 80, 51], Operations: []
Exploring Operation: 63+14=77, Resulting Numbers: [80, 51, 77]
Generated Node #2: [80, 51, 77] from Operation: 63+14=77
Current State: 54:[80, 51, 77], Operations: ['63+14=77']
Exploring Operation: 80+51=131, Resulting Numbers: [77, 131]
Generated Node #3: [77, 131] from Operation: 80+51=131
Current State: 54:[77, 131], Operations: ['63+14=77', '80+51=131']
Exploring Operation: 131-77=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
63,
63,
57,
38
] | 95 | [
"63-63=0",
"57+38=95",
"0+95=95"
] | Current State: 95:[63, 63, 57, 38], Operations: []
Exploring Operation: 63-63=0, Resulting Numbers: [57, 38, 0]
Generated Node #2: [57, 38, 0] from Operation: 63-63=0
Current State: 95:[57, 38, 0], Operations: ['63-63=0']
Exploring Operation: 57+38=95, Resulting Numbers: [0, 95]
Generated Node #3: [0, 95] from Operation: 57+38=95
Current State: 95:[0, 95], Operations: ['63-63=0', '57+38=95']
Exploring Operation: 0+95=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
66,
27,
1,
43
] | 81 | [
"66-27=39",
"43-1=42",
"39+42=81"
] | Current State: 81:[66, 27, 1, 43], Operations: []
Exploring Operation: 66-27=39, Resulting Numbers: [1, 43, 39]
Generated Node #2: [1, 43, 39] from Operation: 66-27=39
Current State: 81:[1, 43, 39], Operations: ['66-27=39']
Exploring Operation: 43-1=42, Resulting Numbers: [39, 42]
Generated Node #3: [39, 42] from Operation: 43-1=42
Current State: 81:[39, 42], Operations: ['66-27=39', '43-1=42']
Exploring Operation: 39+42=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
8,
90,
2,
63
] | 43 | [
"8*2=16",
"90-63=27",
"16+27=43"
] | Current State: 43:[8, 90, 2, 63], Operations: []
Exploring Operation: 8*2=16, Resulting Numbers: [90, 63, 16]
Generated Node #2: [90, 63, 16] from Operation: 8*2=16
Current State: 43:[90, 63, 16], Operations: ['8*2=16']
Exploring Operation: 90-63=27, Resulting Numbers: [16, 27]
Generated Node #3: [16, 27] from Operation: 90-63=27
Current State: 43:[16, 27], Operations: ['8*2=16', '90-63=27']
Exploring Operation: 16+27=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
41,
47,
66,
92
] | 69 | [
"41+47=88",
"66*92=6072",
"6072/88=69"
] | Current State: 69:[41, 47, 66, 92], Operations: []
Exploring Operation: 41+47=88, Resulting Numbers: [66, 92, 88]
Generated Node #2: [66, 92, 88] from Operation: 41+47=88
Current State: 69:[66, 92, 88], Operations: ['41+47=88']
Exploring Operation: 66*92=6072, Resulting Numbers: [88, 6072]
Generated Node #3: [88, 6072] from Operation: 66*92=6072
Current State: 69:[88, 6072], Operations: ['41+47=88', '66*92=6072']
Exploring Operation: 6072/88=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
99,
10,
35,
37
] | 91 | [
"99-10=89",
"37-35=2",
"89+2=91"
] | Current State: 91:[99, 10, 35, 37], Operations: []
Exploring Operation: 99-10=89, Resulting Numbers: [35, 37, 89]
Generated Node #2: [35, 37, 89] from Operation: 99-10=89
Current State: 91:[35, 37, 89], Operations: ['99-10=89']
Exploring Operation: 37-35=2, Resulting Numbers: [89, 2]
Generated Node #3: [89, 2] from Operation: 37-35=2
Current State: 91:[89, 2], Operations: ['99-10=89', '37-35=2']
Exploring Operation: 89+2=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
99,
98,
94,
65
] | 85 | [
"99-94=5",
"65/5=13",
"98-13=85"
] | Current State: 85:[99, 98, 94, 65], Operations: []
Exploring Operation: 99-94=5, Resulting Numbers: [98, 65, 5]
Generated Node #2: [98, 65, 5] from Operation: 99-94=5
Current State: 85:[98, 65, 5], Operations: ['99-94=5']
Exploring Operation: 65/5=13, Resulting Numbers: [98, 13]
Generated Node #3: [98, 13] from Operation: 65/5=13
Current State: 85:[98, 13], Operations: ['99-94=5', '65/5=13']
Exploring Operation: 98-13=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
10,
62,
9,
7
] | 35 | [
"10*9=90",
"62-7=55",
"90-55=35"
] | Current State: 35:[10, 62, 9, 7], Operations: []
Exploring Operation: 10*9=90, Resulting Numbers: [62, 7, 90]
Generated Node #2: [62, 7, 90] from Operation: 10*9=90
Current State: 35:[62, 7, 90], Operations: ['10*9=90']
Exploring Operation: 62-7=55, Resulting Numbers: [90, 55]
Generated Node #3: [90, 55] from Operation: 62-7=55
Current State: 35:[90, 55], Operations: ['10*9=90', '62-7=55']
Exploring Operation: 90-55=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
69,
64,
26,
23
] | 77 | [
"69*23=1587",
"64*26=1664",
"1664-1587=77"
] | Current State: 77:[69, 64, 26, 23], Operations: []
Exploring Operation: 69*23=1587, Resulting Numbers: [64, 26, 1587]
Generated Node #2: [64, 26, 1587] from Operation: 69*23=1587
Current State: 77:[64, 26, 1587], Operations: ['69*23=1587']
Exploring Operation: 64*26=1664, Resulting Numbers: [1587, 1664]
Generated Node #3: [1587, 1664] from Operation: 64*26=1664
Current State: 77:[1587, 1664], Operations: ['69*23=1587', '64*26=1664']
Exploring Operation: 1664-1587=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
34,
66,
2,
44
] | 46 | [
"34*2=68",
"66-44=22",
"68-22=46"
] | Current State: 46:[34, 66, 2, 44], Operations: []
Exploring Operation: 34*2=68, Resulting Numbers: [66, 44, 68]
Generated Node #2: [66, 44, 68] from Operation: 34*2=68
Current State: 46:[66, 44, 68], Operations: ['34*2=68']
Exploring Operation: 66-44=22, Resulting Numbers: [68, 22]
Generated Node #3: [68, 22] from Operation: 66-44=22
Current State: 46:[68, 22], Operations: ['34*2=68', '66-44=22']
Exploring Operation: 68-22=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
46,
27,
39,
42
] | 70 | [
"46+27=73",
"42-39=3",
"73-3=70"
] | Current State: 70:[46, 27, 39, 42], Operations: []
Exploring Operation: 46+27=73, Resulting Numbers: [39, 42, 73]
Generated Node #2: [39, 42, 73] from Operation: 46+27=73
Current State: 70:[39, 42, 73], Operations: ['46+27=73']
Exploring Operation: 42-39=3, Resulting Numbers: [73, 3]
Generated Node #3: [73, 3] from Operation: 42-39=3
Current State: 70:[73, 3], Operations: ['46+27=73', '42-39=3']
Exploring Operation: 73-3=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
15,
11,
72,
93
] | 47 | [
"15+11=26",
"93-72=21",
"26+21=47"
] | Current State: 47:[15, 11, 72, 93], Operations: []
Exploring Operation: 15+11=26, Resulting Numbers: [72, 93, 26]
Generated Node #2: [72, 93, 26] from Operation: 15+11=26
Current State: 47:[72, 93, 26], Operations: ['15+11=26']
Exploring Operation: 93-72=21, Resulting Numbers: [26, 21]
Generated Node #3: [26, 21] from Operation: 93-72=21
Current State: 47:[26, 21], Operations: ['15+11=26', '93-72=21']
Exploring Operation: 26+21=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
80,
15,
13,
7
] | 16 | [
"15-13=2",
"7-2=5",
"80/5=16"
] | Current State: 16:[80, 15, 13, 7], Operations: []
Exploring Operation: 15-13=2, Resulting Numbers: [80, 7, 2]
Generated Node #2: [80, 7, 2] from Operation: 15-13=2
Current State: 16:[80, 7, 2], Operations: ['15-13=2']
Exploring Operation: 7-2=5, Resulting Numbers: [80, 5]
Generated Node #3: [80, 5] from Operation: 7-2=5
Current State: 16:[80, 5], Operations: ['15-13=2', '7-2=5']
Exploring Operation: 80/5=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
26,
28,
83,
45
] | 74 | [
"26+28=54",
"83+45=128",
"128-54=74"
] | Current State: 74:[26, 28, 83, 45], Operations: []
Exploring Operation: 26+28=54, Resulting Numbers: [83, 45, 54]
Generated Node #2: [83, 45, 54] from Operation: 26+28=54
Current State: 74:[83, 45, 54], Operations: ['26+28=54']
Exploring Operation: 83+45=128, Resulting Numbers: [54, 128]
Generated Node #3: [54, 128] from Operation: 83+45=128
Current State: 74:[54, 128], Operations: ['26+28=54', '83+45=128']
Exploring Operation: 128-54=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
5,
25,
90,
2
] | 72 | [
"25-5=20",
"90+2=92",
"92-20=72"
] | Current State: 72:[5, 25, 90, 2], Operations: []
Exploring Operation: 25-5=20, Resulting Numbers: [90, 2, 20]
Generated Node #2: [90, 2, 20] from Operation: 25-5=20
Current State: 72:[90, 2, 20], Operations: ['25-5=20']
Exploring Operation: 90+2=92, Resulting Numbers: [20, 92]
Generated Node #3: [20, 92] from Operation: 90+2=92
Current State: 72:[20, 92], Operations: ['25-5=20', '90+2=92']
Exploring Operation: 92-20=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
6,
63,
75,
9
] | 52 | [
"75-9=66",
"66/6=11",
"63-11=52"
] | Current State: 52:[6, 63, 75, 9], Operations: []
Exploring Operation: 75-9=66, Resulting Numbers: [6, 63, 66]
Generated Node #2: [6, 63, 66] from Operation: 75-9=66
Current State: 52:[6, 63, 66], Operations: ['75-9=66']
Exploring Operation: 66/6=11, Resulting Numbers: [63, 11]
Generated Node #3: [63, 11] from Operation: 66/6=11
Current State: 52:[63, 11], Operations: ['75-9=66', '66/6=11']
Exploring Operation: 63-11=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
77,
81,
80,
50
] | 27 | [
"77-50=27",
"81-80=1",
"27*1=27"
] | Current State: 27:[77, 81, 80, 50], Operations: []
Exploring Operation: 77-50=27, Resulting Numbers: [81, 80, 27]
Generated Node #2: [81, 80, 27] from Operation: 77-50=27
Current State: 27:[81, 80, 27], Operations: ['77-50=27']
Exploring Operation: 81-80=1, Resulting Numbers: [27, 1]
Generated Node #3: [27, 1] from Operation: 81-80=1
Current State: 27:[27, 1], Operations: ['77-50=27', '81-80=1']
Exploring Operation: 27*1=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
42,
12,
72,
9
] | 66 | [
"42+12=54",
"54/9=6",
"72-6=66"
] | Current State: 66:[42, 12, 72, 9], Operations: []
Exploring Operation: 42+12=54, Resulting Numbers: [72, 9, 54]
Generated Node #2: [72, 9, 54] from Operation: 42+12=54
Current State: 66:[72, 9, 54], Operations: ['42+12=54']
Exploring Operation: 54/9=6, Resulting Numbers: [72, 6]
Generated Node #3: [72, 6] from Operation: 54/9=6
Current State: 66:[72, 6], Operations: ['42+12=54', '54/9=6']
Exploring Operation: 72-6=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
99,
10,
48,
17
] | 30 | [
"99-48=51",
"10*51=510",
"510/17=30"
] | Current State: 30:[99, 10, 48, 17], Operations: []
Exploring Operation: 99-48=51, Resulting Numbers: [10, 17, 51]
Generated Node #2: [10, 17, 51] from Operation: 99-48=51
Current State: 30:[10, 17, 51], Operations: ['99-48=51']
Exploring Operation: 10*51=510, Resulting Numbers: [17, 510]
Generated Node #3: [17, 510] from Operation: 10*51=510
Current State: 30:[17, 510], Operations: ['99-48=51', '10*51=510']
Exploring Operation: 510/17=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
74,
55,
64,
30
] | 58 | [
"74-64=10",
"30/10=3",
"55+3=58"
] | Current State: 58:[74, 55, 64, 30], Operations: []
Exploring Operation: 74-64=10, Resulting Numbers: [55, 30, 10]
Generated Node #2: [55, 30, 10] from Operation: 74-64=10
Current State: 58:[55, 30, 10], Operations: ['74-64=10']
Exploring Operation: 30/10=3, Resulting Numbers: [55, 3]
Generated Node #3: [55, 3] from Operation: 30/10=3
Current State: 58:[55, 3], Operations: ['74-64=10', '30/10=3']
Exploring Operation: 55+3=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
42,
19,
77,
35
] | 34 | [
"19*77=1463",
"1463-35=1428",
"1428/42=34"
] | Current State: 34:[42, 19, 77, 35], Operations: []
Exploring Operation: 19*77=1463, Resulting Numbers: [42, 35, 1463]
Generated Node #2: [42, 35, 1463] from Operation: 19*77=1463
Current State: 34:[42, 35, 1463], Operations: ['19*77=1463']
Exploring Operation: 1463-35=1428, Resulting Numbers: [42, 1428]
Generated Node #3: [42, 1428] from Operation: 1463-35=1428
Current State: 34:[42, 1428], Operations: ['19*77=1463', '1463-35=1428']
Exploring Operation: 1428/42=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
21,
4,
72,
89
] | 86 | [
"89-21=68",
"72/4=18",
"68+18=86"
] | Current State: 86:[21, 4, 72, 89], Operations: []
Exploring Operation: 89-21=68, Resulting Numbers: [4, 72, 68]
Generated Node #2: [4, 72, 68] from Operation: 89-21=68
Current State: 86:[4, 72, 68], Operations: ['89-21=68']
Exploring Operation: 72/4=18, Resulting Numbers: [68, 18]
Generated Node #3: [68, 18] from Operation: 72/4=18
Current State: 86:[68, 18], Operations: ['89-21=68', '72/4=18']
Exploring Operation: 68+18=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
9,
17,
1,
61
] | 34 | [
"9+17=26",
"61-1=60",
"60-26=34"
] | Current State: 34:[9, 17, 1, 61], Operations: []
Exploring Operation: 9+17=26, Resulting Numbers: [1, 61, 26]
Generated Node #2: [1, 61, 26] from Operation: 9+17=26
Current State: 34:[1, 61, 26], Operations: ['9+17=26']
Exploring Operation: 61-1=60, Resulting Numbers: [26, 60]
Generated Node #3: [26, 60] from Operation: 61-1=60
Current State: 34:[26, 60], Operations: ['9+17=26', '61-1=60']
Exploring Operation: 60-26=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
49,
9,
15,
81
] | 73 | [
"49+15=64",
"81/9=9",
"64+9=73"
] | Current State: 73:[49, 9, 15, 81], Operations: []
Exploring Operation: 49+15=64, Resulting Numbers: [9, 81, 64]
Generated Node #2: [9, 81, 64] from Operation: 49+15=64
Current State: 73:[9, 81, 64], Operations: ['49+15=64']
Exploring Operation: 81/9=9, Resulting Numbers: [64, 9]
Generated Node #3: [64, 9] from Operation: 81/9=9
Current State: 73:[64, 9], Operations: ['49+15=64', '81/9=9']
Exploring Operation: 64+9=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
5,
3,
23,
17
] | 55 | [
"5*3=15",
"23+17=40",
"15+40=55"
] | Current State: 55:[5, 3, 23, 17], Operations: []
Exploring Operation: 5*3=15, Resulting Numbers: [23, 17, 15]
Generated Node #2: [23, 17, 15] from Operation: 5*3=15
Current State: 55:[23, 17, 15], Operations: ['5*3=15']
Exploring Operation: 23+17=40, Resulting Numbers: [15, 40]
Generated Node #3: [15, 40] from Operation: 23+17=40
Current State: 55:[15, 40], Operations: ['5*3=15', '23+17=40']
Exploring Operation: 15+40=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
4,
18,
29,
38
] | 61 | [
"29*38=1102",
"1102-4=1098",
"1098/18=61"
] | Current State: 61:[4, 18, 29, 38], Operations: []
Exploring Operation: 29*38=1102, Resulting Numbers: [4, 18, 1102]
Generated Node #2: [4, 18, 1102] from Operation: 29*38=1102
Current State: 61:[4, 18, 1102], Operations: ['29*38=1102']
Exploring Operation: 1102-4=1098, Resulting Numbers: [18, 1098]
Generated Node #3: [18, 1098] from Operation: 1102-4=1098
Current State: 61:[18, 1098], Operations: ['29*38=1102', '1102-4=1098']
Exploring Operation: 1098/18=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
32,
67,
79,
5
] | 72 | [
"67-32=35",
"35/5=7",
"79-7=72"
] | Current State: 72:[32, 67, 79, 5], Operations: []
Exploring Operation: 67-32=35, Resulting Numbers: [79, 5, 35]
Generated Node #2: [79, 5, 35] from Operation: 67-32=35
Current State: 72:[79, 5, 35], Operations: ['67-32=35']
Exploring Operation: 35/5=7, Resulting Numbers: [79, 7]
Generated Node #3: [79, 7] from Operation: 35/5=7
Current State: 72:[79, 7], Operations: ['67-32=35', '35/5=7']
Exploring Operation: 79-7=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
62,
60,
2,
27
] | 52 | [
"62-60=2",
"2*27=54",
"54-2=52"
] | Current State: 52:[62, 60, 2, 27], Operations: []
Exploring Operation: 62-60=2, Resulting Numbers: [2, 27, 2]
Generated Node #2: [2, 27, 2] from Operation: 62-60=2
Current State: 52:[2, 27, 2], Operations: ['62-60=2']
Exploring Operation: 2*27=54, Resulting Numbers: [54]
54,52 equal: Goal Reached
Exploring Operation: 54-2=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
43,
36,
49,
86
] | 42 | [
"43+36=79",
"86-49=37",
"79-37=42"
] | Current State: 42:[43, 36, 49, 86], Operations: []
Exploring Operation: 43+36=79, Resulting Numbers: [49, 86, 79]
Generated Node #2: [49, 86, 79] from Operation: 43+36=79
Current State: 42:[49, 86, 79], Operations: ['43+36=79']
Exploring Operation: 86-49=37, Resulting Numbers: [79, 37]
Generated Node #3: [79, 37] from Operation: 86-49=37
Current State: 42:[79, 37], Operations: ['43+36=79', '86-49=37']
Exploring Operation: 79-37=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.