nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
49,
31,
77,
52
] | 49 | [
"49+31=80",
"77+52=129",
"129-80=49"
] | Current State: 49:[49, 31, 77, 52], Operations: []
Exploring Operation: 49+31=80, Resulting Numbers: [77, 52, 80]
Generated Node #2: [77, 52, 80] from Operation: 49+31=80
Current State: 49:[77, 52, 80], Operations: ['49+31=80']
Exploring Operation: 77+52=129, Resulting Numbers: [80, 129]
Generated Node #3: [80, 129] from Operation: 77+52=129
Current State: 49:[80, 129], Operations: ['49+31=80', '77+52=129']
Exploring Operation: 129-80=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
30,
45,
2,
70
] | 25 | [
"70-30=40",
"40/2=20",
"45-20=25"
] | Current State: 25:[30, 45, 2, 70], Operations: []
Exploring Operation: 70-30=40, Resulting Numbers: [45, 2, 40]
Generated Node #2: [45, 2, 40] from Operation: 70-30=40
Current State: 25:[45, 2, 40], Operations: ['70-30=40']
Exploring Operation: 40/2=20, Resulting Numbers: [45, 20]
Generated Node #3: [45, 20] from Operation: 40/2=20
Current State: 25:[45, 20], Operations: ['70-30=40', '40/2=20']
Exploring Operation: 45-20=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
12,
82,
37,
6
] | 51 | [
"12+82=94",
"37+6=43",
"94-43=51"
] | Current State: 51:[12, 82, 37, 6], Operations: []
Exploring Operation: 12+82=94, Resulting Numbers: [37, 6, 94]
Generated Node #2: [37, 6, 94] from Operation: 12+82=94
Current State: 51:[37, 6, 94], Operations: ['12+82=94']
Exploring Operation: 37+6=43, Resulting Numbers: [94, 43]
Generated Node #3: [94, 43] from Operation: 37+6=43
Current State: 51:[94, 43], Operations: ['12+82=94', '37+6=43']
Exploring Operation: 94-43=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
7,
12,
60,
5
] | 30 | [
"7*60=420",
"420/12=35",
"35-5=30"
] | Current State: 30:[7, 12, 60, 5], Operations: []
Exploring Operation: 7*60=420, Resulting Numbers: [12, 5, 420]
Generated Node #2: [12, 5, 420] from Operation: 7*60=420
Current State: 30:[12, 5, 420], Operations: ['7*60=420']
Exploring Operation: 420/12=35, Resulting Numbers: [5, 35]
Generated Node #3: [5, 35] from Operation: 420/12=35
Current State: 30:[5, 35], Operations: ['7*60=420', '420/12=35']
Exploring Operation: 35-5=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
15,
1,
56,
66
] | 62 | [
"15-1=14",
"56/14=4",
"66-4=62"
] | Current State: 62:[15, 1, 56, 66], Operations: []
Exploring Operation: 15-1=14, Resulting Numbers: [56, 66, 14]
Generated Node #2: [56, 66, 14] from Operation: 15-1=14
Current State: 62:[56, 66, 14], Operations: ['15-1=14']
Exploring Operation: 56/14=4, Resulting Numbers: [66, 4]
Generated Node #3: [66, 4] from Operation: 56/14=4
Current State: 62:[66, 4], Operations: ['15-1=14', '56/14=4']
Exploring Operation: 66-4=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
28,
54,
9,
4
] | 21 | [
"54-28=26",
"9-4=5",
"26-5=21"
] | Current State: 21:[28, 54, 9, 4], Operations: []
Exploring Operation: 54-28=26, Resulting Numbers: [9, 4, 26]
Generated Node #2: [9, 4, 26] from Operation: 54-28=26
Current State: 21:[9, 4, 26], Operations: ['54-28=26']
Exploring Operation: 9-4=5, Resulting Numbers: [26, 5]
Generated Node #3: [26, 5] from Operation: 9-4=5
Current State: 21:[26, 5], Operations: ['54-28=26', '9-4=5']
Exploring Operation: 26-5=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
64,
46,
29,
33
] | 72 | [
"64-46=18",
"33-29=4",
"18*4=72"
] | Current State: 72:[64, 46, 29, 33], Operations: []
Exploring Operation: 64-46=18, Resulting Numbers: [29, 33, 18]
Generated Node #2: [29, 33, 18] from Operation: 64-46=18
Current State: 72:[29, 33, 18], Operations: ['64-46=18']
Exploring Operation: 33-29=4, Resulting Numbers: [18, 4]
Generated Node #3: [18, 4] from Operation: 33-29=4
Current State: 72:[18, 4], Operations: ['64-46=18', '33-29=4']
Exploring Operation: 18*4=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
49,
52,
13,
33
] | 24 | [
"52-49=3",
"33/3=11",
"13+11=24"
] | Current State: 24:[49, 52, 13, 33], Operations: []
Exploring Operation: 52-49=3, Resulting Numbers: [13, 33, 3]
Generated Node #2: [13, 33, 3] from Operation: 52-49=3
Current State: 24:[13, 33, 3], Operations: ['52-49=3']
Exploring Operation: 33/3=11, Resulting Numbers: [13, 11]
Generated Node #3: [13, 11] from Operation: 33/3=11
Current State: 24:[13, 11], Operations: ['52-49=3', '33/3=11']
Exploring Operation: 13+11=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
77,
67,
96,
74
] | 12 | [
"77-67=10",
"96-74=22",
"22-10=12"
] | Current State: 12:[77, 67, 96, 74], Operations: []
Exploring Operation: 77-67=10, Resulting Numbers: [96, 74, 10]
Generated Node #2: [96, 74, 10] from Operation: 77-67=10
Current State: 12:[96, 74, 10], Operations: ['77-67=10']
Exploring Operation: 96-74=22, Resulting Numbers: [10, 22]
Generated Node #3: [10, 22] from Operation: 96-74=22
Current State: 12:[10, 22], Operations: ['77-67=10', '96-74=22']
Exploring Operation: 22-10=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
4,
85,
23,
67
] | 95 | [
"85-67=18",
"4*18=72",
"23+72=95"
] | Current State: 95:[4, 85, 23, 67], Operations: []
Exploring Operation: 85-67=18, Resulting Numbers: [4, 23, 18]
Generated Node #2: [4, 23, 18] from Operation: 85-67=18
Current State: 95:[4, 23, 18], Operations: ['85-67=18']
Exploring Operation: 4*18=72, Resulting Numbers: [23, 72]
Generated Node #3: [23, 72] from Operation: 4*18=72
Current State: 95:[23, 72], Operations: ['85-67=18', '4*18=72']
Exploring Operation: 23+72=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
30,
32,
43,
61
] | 43 | [
"30+32=62",
"62-61=1",
"43*1=43"
] | Current State: 43:[30, 32, 43, 61], Operations: []
Exploring Operation: 30+32=62, Resulting Numbers: [43, 61, 62]
Generated Node #2: [43, 61, 62] from Operation: 30+32=62
Current State: 43:[43, 61, 62], Operations: ['30+32=62']
Exploring Operation: 62-61=1, Resulting Numbers: [43, 1]
Generated Node #3: [43, 1] from Operation: 62-61=1
Current State: 43:[43, 1], Operations: ['30+32=62', '62-61=1']
Exploring Operation: 43*1=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
4,
4,
58,
42
] | 64 | [
"4*58=232",
"4*42=168",
"232-168=64"
] | Current State: 64:[4, 4, 58, 42], Operations: []
Exploring Operation: 4*58=232, Resulting Numbers: [42, 232]
Generated Node #2: [42, 232] from Operation: 4*58=232
Current State: 64:[42, 232], Operations: ['4*58=232']
Exploring Operation: 4*42=168, Resulting Numbers: [232, 168]
Generated Node #3: [232, 168] from Operation: 4*42=168
Current State: 64:[232, 168], Operations: ['4*58=232', '4*42=168']
Exploring Operation: 232-168=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
86,
2,
13,
17
] | 78 | [
"17-13=4",
"2*4=8",
"86-8=78"
] | Current State: 78:[86, 2, 13, 17], Operations: []
Exploring Operation: 17-13=4, Resulting Numbers: [86, 2, 4]
Generated Node #2: [86, 2, 4] from Operation: 17-13=4
Current State: 78:[86, 2, 4], Operations: ['17-13=4']
Exploring Operation: 2*4=8, Resulting Numbers: [86, 8]
Generated Node #3: [86, 8] from Operation: 2*4=8
Current State: 78:[86, 8], Operations: ['17-13=4', '2*4=8']
Exploring Operation: 86-8=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
90,
4,
32,
90
] | 36 | [
"90+4=94",
"90-32=58",
"94-58=36"
] | Current State: 36:[90, 4, 32, 90], Operations: []
Exploring Operation: 90+4=94, Resulting Numbers: [32, 94]
Generated Node #2: [32, 94] from Operation: 90+4=94
Current State: 36:[32, 94], Operations: ['90+4=94']
Exploring Operation: 90-32=58, Resulting Numbers: [94, 58]
Generated Node #3: [94, 58] from Operation: 90-32=58
Current State: 36:[94, 58], Operations: ['90+4=94', '90-32=58']
Exploring Operation: 94-58=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
45,
48,
11,
2
] | 41 | [
"45+48=93",
"93-11=82",
"82/2=41"
] | Current State: 41:[45, 48, 11, 2], Operations: []
Exploring Operation: 45+48=93, Resulting Numbers: [11, 2, 93]
Generated Node #2: [11, 2, 93] from Operation: 45+48=93
Current State: 41:[11, 2, 93], Operations: ['45+48=93']
Exploring Operation: 93-11=82, Resulting Numbers: [2, 82]
Generated Node #3: [2, 82] from Operation: 93-11=82
Current State: 41:[2, 82], Operations: ['45+48=93', '93-11=82']
Exploring Operation: 82/2=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
38,
74,
30,
25
] | 91 | [
"74-38=36",
"30+25=55",
"36+55=91"
] | Current State: 91:[38, 74, 30, 25], Operations: []
Exploring Operation: 74-38=36, Resulting Numbers: [30, 25, 36]
Generated Node #2: [30, 25, 36] from Operation: 74-38=36
Current State: 91:[30, 25, 36], Operations: ['74-38=36']
Exploring Operation: 30+25=55, Resulting Numbers: [36, 55]
Generated Node #3: [36, 55] from Operation: 30+25=55
Current State: 91:[36, 55], Operations: ['74-38=36', '30+25=55']
Exploring Operation: 36+55=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
22,
95,
89,
16
] | 36 | [
"22-16=6",
"95-89=6",
"6*6=36"
] | Current State: 36:[22, 95, 89, 16], Operations: []
Exploring Operation: 22-16=6, Resulting Numbers: [95, 89, 6]
Generated Node #2: [95, 89, 6] from Operation: 22-16=6
Current State: 36:[95, 89, 6], Operations: ['22-16=6']
Exploring Operation: 95-89=6, Resulting Numbers: [6, 6]
Generated Node #3: [6, 6] from Operation: 95-89=6
Current State: 36:[6, 6], Operations: ['22-16=6', '95-89=6']
Exploring Operation: 6*6=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
15,
95,
17,
13
] | 39 | [
"15-13=2",
"95-17=78",
"78/2=39"
] | Current State: 39:[15, 95, 17, 13], Operations: []
Exploring Operation: 15-13=2, Resulting Numbers: [95, 17, 2]
Generated Node #2: [95, 17, 2] from Operation: 15-13=2
Current State: 39:[95, 17, 2], Operations: ['15-13=2']
Exploring Operation: 95-17=78, Resulting Numbers: [2, 78]
Generated Node #3: [2, 78] from Operation: 95-17=78
Current State: 39:[2, 78], Operations: ['15-13=2', '95-17=78']
Exploring Operation: 78/2=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
19,
85,
20,
86
] | 94 | [
"85*20=1700",
"86+1700=1786",
"1786/19=94"
] | Current State: 94:[19, 85, 20, 86], Operations: []
Exploring Operation: 85*20=1700, Resulting Numbers: [19, 86, 1700]
Generated Node #2: [19, 86, 1700] from Operation: 85*20=1700
Current State: 94:[19, 86, 1700], Operations: ['85*20=1700']
Exploring Operation: 86+1700=1786, Resulting Numbers: [19, 1786]
Generated Node #3: [19, 1786] from Operation: 86+1700=1786
Current State: 94:[19, 1786], Operations: ['85*20=1700', '86+1700=1786']
Exploring Operation: 1786/19=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
2,
61,
74,
68
] | 30 | [
"74/2=37",
"68-61=7",
"37-7=30"
] | Current State: 30:[2, 61, 74, 68], Operations: []
Exploring Operation: 74/2=37, Resulting Numbers: [61, 68, 37]
Generated Node #2: [61, 68, 37] from Operation: 74/2=37
Current State: 30:[61, 68, 37], Operations: ['74/2=37']
Exploring Operation: 68-61=7, Resulting Numbers: [37, 7]
Generated Node #3: [37, 7] from Operation: 68-61=7
Current State: 30:[37, 7], Operations: ['74/2=37', '68-61=7']
Exploring Operation: 37-7=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
28,
49,
54,
76
] | 14 | [
"76-49=27",
"28*27=756",
"756/54=14"
] | Current State: 14:[28, 49, 54, 76], Operations: []
Exploring Operation: 76-49=27, Resulting Numbers: [28, 54, 27]
Generated Node #2: [28, 54, 27] from Operation: 76-49=27
Current State: 14:[28, 54, 27], Operations: ['76-49=27']
Exploring Operation: 28*27=756, Resulting Numbers: [54, 756]
Generated Node #3: [54, 756] from Operation: 28*27=756
Current State: 14:[54, 756], Operations: ['76-49=27', '28*27=756']
Exploring Operation: 756/54=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
62,
39,
70,
9
] | 56 | [
"62-39=23",
"70+9=79",
"79-23=56"
] | Current State: 56:[62, 39, 70, 9], Operations: []
Exploring Operation: 62-39=23, Resulting Numbers: [70, 9, 23]
Generated Node #2: [70, 9, 23] from Operation: 62-39=23
Current State: 56:[70, 9, 23], Operations: ['62-39=23']
Exploring Operation: 70+9=79, Resulting Numbers: [23, 79]
Generated Node #3: [23, 79] from Operation: 70+9=79
Current State: 56:[23, 79], Operations: ['62-39=23', '70+9=79']
Exploring Operation: 79-23=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
49,
49,
35,
14
] | 39 | [
"35*14=490",
"490/49=10",
"49-10=39"
] | Current State: 39:[49, 49, 35, 14], Operations: []
Exploring Operation: 35*14=490, Resulting Numbers: [49, 49, 490]
Generated Node #2: [49, 49, 490] from Operation: 35*14=490
Current State: 39:[49, 49, 490], Operations: ['35*14=490']
Exploring Operation: 490/49=10, Resulting Numbers: [10]
10,39 equal: Goal Reached
Exploring Operation: 49-10=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
93,
21,
98,
56
] | 49 | [
"98-93=5",
"21*5=105",
"105-56=49"
] | Current State: 49:[93, 21, 98, 56], Operations: []
Exploring Operation: 98-93=5, Resulting Numbers: [21, 56, 5]
Generated Node #2: [21, 56, 5] from Operation: 98-93=5
Current State: 49:[21, 56, 5], Operations: ['98-93=5']
Exploring Operation: 21*5=105, Resulting Numbers: [56, 105]
Generated Node #3: [56, 105] from Operation: 21*5=105
Current State: 49:[56, 105], Operations: ['98-93=5', '21*5=105']
Exploring Operation: 105-56=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
38,
79,
35,
11
] | 66 | [
"79-38=41",
"41-35=6",
"11*6=66"
] | Current State: 66:[38, 79, 35, 11], Operations: []
Exploring Operation: 79-38=41, Resulting Numbers: [35, 11, 41]
Generated Node #2: [35, 11, 41] from Operation: 79-38=41
Current State: 66:[35, 11, 41], Operations: ['79-38=41']
Exploring Operation: 41-35=6, Resulting Numbers: [11, 6]
Generated Node #3: [11, 6] from Operation: 41-35=6
Current State: 66:[11, 6], Operations: ['79-38=41', '41-35=6']
Exploring Operation: 11*6=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
2,
19,
26,
49
] | 16 | [
"2*26=52",
"19+49=68",
"68-52=16"
] | Current State: 16:[2, 19, 26, 49], Operations: []
Exploring Operation: 2*26=52, Resulting Numbers: [19, 49, 52]
Generated Node #2: [19, 49, 52] from Operation: 2*26=52
Current State: 16:[19, 49, 52], Operations: ['2*26=52']
Exploring Operation: 19+49=68, Resulting Numbers: [52, 68]
Generated Node #3: [52, 68] from Operation: 19+49=68
Current State: 16:[52, 68], Operations: ['2*26=52', '19+49=68']
Exploring Operation: 68-52=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
38,
57,
23,
33
] | 38 | [
"57-23=34",
"34-33=1",
"38*1=38"
] | Current State: 38:[38, 57, 23, 33], Operations: []
Exploring Operation: 57-23=34, Resulting Numbers: [38, 33, 34]
Generated Node #2: [38, 33, 34] from Operation: 57-23=34
Current State: 38:[38, 33, 34], Operations: ['57-23=34']
Exploring Operation: 34-33=1, Resulting Numbers: [38, 1]
Generated Node #3: [38, 1] from Operation: 34-33=1
Current State: 38:[38, 1], Operations: ['57-23=34', '34-33=1']
Exploring Operation: 38*1=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
56,
9,
26,
15
] | 18 | [
"56-26=30",
"9*30=270",
"270/15=18"
] | Current State: 18:[56, 9, 26, 15], Operations: []
Exploring Operation: 56-26=30, Resulting Numbers: [9, 15, 30]
Generated Node #2: [9, 15, 30] from Operation: 56-26=30
Current State: 18:[9, 15, 30], Operations: ['56-26=30']
Exploring Operation: 9*30=270, Resulting Numbers: [15, 270]
Generated Node #3: [15, 270] from Operation: 9*30=270
Current State: 18:[15, 270], Operations: ['56-26=30', '9*30=270']
Exploring Operation: 270/15=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
85,
1,
30,
44
] | 99 | [
"85*1=85",
"44-30=14",
"85+14=99"
] | Current State: 99:[85, 1, 30, 44], Operations: []
Exploring Operation: 85*1=85, Resulting Numbers: [30, 44, 85]
Generated Node #2: [30, 44, 85] from Operation: 85*1=85
Current State: 99:[30, 44, 85], Operations: ['85*1=85']
Exploring Operation: 44-30=14, Resulting Numbers: [85, 14]
Generated Node #3: [85, 14] from Operation: 44-30=14
Current State: 99:[85, 14], Operations: ['85*1=85', '44-30=14']
Exploring Operation: 85+14=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
7,
39,
43,
31
] | 44 | [
"39-7=32",
"43-31=12",
"32+12=44"
] | Current State: 44:[7, 39, 43, 31], Operations: []
Exploring Operation: 39-7=32, Resulting Numbers: [43, 31, 32]
Generated Node #2: [43, 31, 32] from Operation: 39-7=32
Current State: 44:[43, 31, 32], Operations: ['39-7=32']
Exploring Operation: 43-31=12, Resulting Numbers: [32, 12]
Generated Node #3: [32, 12] from Operation: 43-31=12
Current State: 44:[32, 12], Operations: ['39-7=32', '43-31=12']
Exploring Operation: 32+12=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
24,
10,
55,
38
] | 79 | [
"24-10=14",
"55+38=93",
"93-14=79"
] | Current State: 79:[24, 10, 55, 38], Operations: []
Exploring Operation: 24-10=14, Resulting Numbers: [55, 38, 14]
Generated Node #2: [55, 38, 14] from Operation: 24-10=14
Current State: 79:[55, 38, 14], Operations: ['24-10=14']
Exploring Operation: 55+38=93, Resulting Numbers: [14, 93]
Generated Node #3: [14, 93] from Operation: 55+38=93
Current State: 79:[14, 93], Operations: ['24-10=14', '55+38=93']
Exploring Operation: 93-14=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
43,
11,
9,
40
] | 41 | [
"11+9=20",
"40/20=2",
"43-2=41"
] | Current State: 41:[43, 11, 9, 40], Operations: []
Exploring Operation: 11+9=20, Resulting Numbers: [43, 40, 20]
Generated Node #2: [43, 40, 20] from Operation: 11+9=20
Current State: 41:[43, 40, 20], Operations: ['11+9=20']
Exploring Operation: 40/20=2, Resulting Numbers: [43, 2]
Generated Node #3: [43, 2] from Operation: 40/20=2
Current State: 41:[43, 2], Operations: ['11+9=20', '40/20=2']
Exploring Operation: 43-2=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
10,
79,
88,
48
] | 29 | [
"79-10=69",
"88-48=40",
"69-40=29"
] | Current State: 29:[10, 79, 88, 48], Operations: []
Exploring Operation: 79-10=69, Resulting Numbers: [88, 48, 69]
Generated Node #2: [88, 48, 69] from Operation: 79-10=69
Current State: 29:[88, 48, 69], Operations: ['79-10=69']
Exploring Operation: 88-48=40, Resulting Numbers: [69, 40]
Generated Node #3: [69, 40] from Operation: 88-48=40
Current State: 29:[69, 40], Operations: ['79-10=69', '88-48=40']
Exploring Operation: 69-40=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
21,
80,
31,
28
] | 29 | [
"21*80=1680",
"1680/28=60",
"60-31=29"
] | Current State: 29:[21, 80, 31, 28], Operations: []
Exploring Operation: 21*80=1680, Resulting Numbers: [31, 28, 1680]
Generated Node #2: [31, 28, 1680] from Operation: 21*80=1680
Current State: 29:[31, 28, 1680], Operations: ['21*80=1680']
Exploring Operation: 1680/28=60, Resulting Numbers: [31, 60]
Generated Node #3: [31, 60] from Operation: 1680/28=60
Current State: 29:[31, 60], Operations: ['21*80=1680', '1680/28=60']
Exploring Operation: 60-31=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
10,
12,
1,
41
] | 64 | [
"10+12=22",
"1+41=42",
"22+42=64"
] | Current State: 64:[10, 12, 1, 41], Operations: []
Exploring Operation: 10+12=22, Resulting Numbers: [1, 41, 22]
Generated Node #2: [1, 41, 22] from Operation: 10+12=22
Current State: 64:[1, 41, 22], Operations: ['10+12=22']
Exploring Operation: 1+41=42, Resulting Numbers: [22, 42]
Generated Node #3: [22, 42] from Operation: 1+41=42
Current State: 64:[22, 42], Operations: ['10+12=22', '1+41=42']
Exploring Operation: 22+42=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
53,
12,
97,
18
] | 74 | [
"53-12=41",
"97+18=115",
"115-41=74"
] | Current State: 74:[53, 12, 97, 18], Operations: []
Exploring Operation: 53-12=41, Resulting Numbers: [97, 18, 41]
Generated Node #2: [97, 18, 41] from Operation: 53-12=41
Current State: 74:[97, 18, 41], Operations: ['53-12=41']
Exploring Operation: 97+18=115, Resulting Numbers: [41, 115]
Generated Node #3: [41, 115] from Operation: 97+18=115
Current State: 74:[41, 115], Operations: ['53-12=41', '97+18=115']
Exploring Operation: 115-41=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
16,
32,
58,
12
] | 44 | [
"32/16=2",
"58-12=46",
"46-2=44"
] | Current State: 44:[16, 32, 58, 12], Operations: []
Exploring Operation: 32/16=2, Resulting Numbers: [58, 12, 2]
Generated Node #2: [58, 12, 2] from Operation: 32/16=2
Current State: 44:[58, 12, 2], Operations: ['32/16=2']
Exploring Operation: 58-12=46, Resulting Numbers: [2, 46]
Generated Node #3: [2, 46] from Operation: 58-12=46
Current State: 44:[2, 46], Operations: ['32/16=2', '58-12=46']
Exploring Operation: 46-2=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
65,
73,
8,
46
] | 47 | [
"73-65=8",
"8/8=1",
"46+1=47"
] | Current State: 47:[65, 73, 8, 46], Operations: []
Exploring Operation: 73-65=8, Resulting Numbers: [8, 46, 8]
Generated Node #2: [8, 46, 8] from Operation: 73-65=8
Current State: 47:[8, 46, 8], Operations: ['73-65=8']
Exploring Operation: 8/8=1, Resulting Numbers: [46, 1]
Generated Node #3: [46, 1] from Operation: 8/8=1
Current State: 47:[46, 1], Operations: ['73-65=8', '8/8=1']
Exploring Operation: 46+1=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
28,
4,
29,
10
] | 13 | [
"28+4=32",
"29-10=19",
"32-19=13"
] | Current State: 13:[28, 4, 29, 10], Operations: []
Exploring Operation: 28+4=32, Resulting Numbers: [29, 10, 32]
Generated Node #2: [29, 10, 32] from Operation: 28+4=32
Current State: 13:[29, 10, 32], Operations: ['28+4=32']
Exploring Operation: 29-10=19, Resulting Numbers: [32, 19]
Generated Node #3: [32, 19] from Operation: 29-10=19
Current State: 13:[32, 19], Operations: ['28+4=32', '29-10=19']
Exploring Operation: 32-19=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
51,
7,
21,
56
] | 80 | [
"51+21=72",
"56/7=8",
"72+8=80"
] | Current State: 80:[51, 7, 21, 56], Operations: []
Exploring Operation: 51+21=72, Resulting Numbers: [7, 56, 72]
Generated Node #2: [7, 56, 72] from Operation: 51+21=72
Current State: 80:[7, 56, 72], Operations: ['51+21=72']
Exploring Operation: 56/7=8, Resulting Numbers: [72, 8]
Generated Node #3: [72, 8] from Operation: 56/7=8
Current State: 80:[72, 8], Operations: ['51+21=72', '56/7=8']
Exploring Operation: 72+8=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
30,
77,
76,
17
] | 46 | [
"77-30=47",
"76+17=93",
"93-47=46"
] | Current State: 46:[30, 77, 76, 17], Operations: []
Exploring Operation: 77-30=47, Resulting Numbers: [76, 17, 47]
Generated Node #2: [76, 17, 47] from Operation: 77-30=47
Current State: 46:[76, 17, 47], Operations: ['77-30=47']
Exploring Operation: 76+17=93, Resulting Numbers: [47, 93]
Generated Node #3: [47, 93] from Operation: 76+17=93
Current State: 46:[47, 93], Operations: ['77-30=47', '76+17=93']
Exploring Operation: 93-47=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
39,
42,
55,
17
] | 69 | [
"42-39=3",
"55+17=72",
"72-3=69"
] | Current State: 69:[39, 42, 55, 17], Operations: []
Exploring Operation: 42-39=3, Resulting Numbers: [55, 17, 3]
Generated Node #2: [55, 17, 3] from Operation: 42-39=3
Current State: 69:[55, 17, 3], Operations: ['42-39=3']
Exploring Operation: 55+17=72, Resulting Numbers: [3, 72]
Generated Node #3: [3, 72] from Operation: 55+17=72
Current State: 69:[3, 72], Operations: ['42-39=3', '55+17=72']
Exploring Operation: 72-3=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
50,
70,
61,
3
] | 44 | [
"70-50=20",
"61+3=64",
"64-20=44"
] | Current State: 44:[50, 70, 61, 3], Operations: []
Exploring Operation: 70-50=20, Resulting Numbers: [61, 3, 20]
Generated Node #2: [61, 3, 20] from Operation: 70-50=20
Current State: 44:[61, 3, 20], Operations: ['70-50=20']
Exploring Operation: 61+3=64, Resulting Numbers: [20, 64]
Generated Node #3: [20, 64] from Operation: 61+3=64
Current State: 44:[20, 64], Operations: ['70-50=20', '61+3=64']
Exploring Operation: 64-20=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
17,
60,
15,
14
] | 65 | [
"17-14=3",
"15/3=5",
"60+5=65"
] | Current State: 65:[17, 60, 15, 14], Operations: []
Exploring Operation: 17-14=3, Resulting Numbers: [60, 15, 3]
Generated Node #2: [60, 15, 3] from Operation: 17-14=3
Current State: 65:[60, 15, 3], Operations: ['17-14=3']
Exploring Operation: 15/3=5, Resulting Numbers: [60, 5]
Generated Node #3: [60, 5] from Operation: 15/3=5
Current State: 65:[60, 5], Operations: ['17-14=3', '15/3=5']
Exploring Operation: 60+5=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
83,
31,
21,
97
] | 95 | [
"83-21=62",
"62/31=2",
"97-2=95"
] | Current State: 95:[83, 31, 21, 97], Operations: []
Exploring Operation: 83-21=62, Resulting Numbers: [31, 97, 62]
Generated Node #2: [31, 97, 62] from Operation: 83-21=62
Current State: 95:[31, 97, 62], Operations: ['83-21=62']
Exploring Operation: 62/31=2, Resulting Numbers: [97, 2]
Generated Node #3: [97, 2] from Operation: 62/31=2
Current State: 95:[97, 2], Operations: ['83-21=62', '62/31=2']
Exploring Operation: 97-2=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
29,
81,
54,
98
] | 49 | [
"81-29=52",
"54-52=2",
"98/2=49"
] | Current State: 49:[29, 81, 54, 98], Operations: []
Exploring Operation: 81-29=52, Resulting Numbers: [54, 98, 52]
Generated Node #2: [54, 98, 52] from Operation: 81-29=52
Current State: 49:[54, 98, 52], Operations: ['81-29=52']
Exploring Operation: 54-52=2, Resulting Numbers: [98, 2]
Generated Node #3: [98, 2] from Operation: 54-52=2
Current State: 49:[98, 2], Operations: ['81-29=52', '54-52=2']
Exploring Operation: 98/2=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
29,
21,
39,
24
] | 55 | [
"29-21=8",
"39+24=63",
"63-8=55"
] | Current State: 55:[29, 21, 39, 24], Operations: []
Exploring Operation: 29-21=8, Resulting Numbers: [39, 24, 8]
Generated Node #2: [39, 24, 8] from Operation: 29-21=8
Current State: 55:[39, 24, 8], Operations: ['29-21=8']
Exploring Operation: 39+24=63, Resulting Numbers: [8, 63]
Generated Node #3: [8, 63] from Operation: 39+24=63
Current State: 55:[8, 63], Operations: ['29-21=8', '39+24=63']
Exploring Operation: 63-8=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
52,
72,
84,
47
] | 57 | [
"72-52=20",
"84-47=37",
"20+37=57"
] | Current State: 57:[52, 72, 84, 47], Operations: []
Exploring Operation: 72-52=20, Resulting Numbers: [84, 47, 20]
Generated Node #2: [84, 47, 20] from Operation: 72-52=20
Current State: 57:[84, 47, 20], Operations: ['72-52=20']
Exploring Operation: 84-47=37, Resulting Numbers: [20, 37]
Generated Node #3: [20, 37] from Operation: 84-47=37
Current State: 57:[20, 37], Operations: ['72-52=20', '84-47=37']
Exploring Operation: 20+37=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
78,
99,
94,
10
] | 93 | [
"78+99=177",
"94-10=84",
"177-84=93"
] | Current State: 93:[78, 99, 94, 10], Operations: []
Exploring Operation: 78+99=177, Resulting Numbers: [94, 10, 177]
Generated Node #2: [94, 10, 177] from Operation: 78+99=177
Current State: 93:[94, 10, 177], Operations: ['78+99=177']
Exploring Operation: 94-10=84, Resulting Numbers: [177, 84]
Generated Node #3: [177, 84] from Operation: 94-10=84
Current State: 93:[177, 84], Operations: ['78+99=177', '94-10=84']
Exploring Operation: 177-84=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
54,
51,
78,
11
] | 70 | [
"54-51=3",
"78-11=67",
"3+67=70"
] | Current State: 70:[54, 51, 78, 11], Operations: []
Exploring Operation: 54-51=3, Resulting Numbers: [78, 11, 3]
Generated Node #2: [78, 11, 3] from Operation: 54-51=3
Current State: 70:[78, 11, 3], Operations: ['54-51=3']
Exploring Operation: 78-11=67, Resulting Numbers: [3, 67]
Generated Node #3: [3, 67] from Operation: 78-11=67
Current State: 70:[3, 67], Operations: ['54-51=3', '78-11=67']
Exploring Operation: 3+67=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
6,
69,
54,
88
] | 28 | [
"54/6=9",
"88-69=19",
"9+19=28"
] | Current State: 28:[6, 69, 54, 88], Operations: []
Exploring Operation: 54/6=9, Resulting Numbers: [69, 88, 9]
Generated Node #2: [69, 88, 9] from Operation: 54/6=9
Current State: 28:[69, 88, 9], Operations: ['54/6=9']
Exploring Operation: 88-69=19, Resulting Numbers: [9, 19]
Generated Node #3: [9, 19] from Operation: 88-69=19
Current State: 28:[9, 19], Operations: ['54/6=9', '88-69=19']
Exploring Operation: 9+19=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
67,
29,
64,
43
] | 59 | [
"67-29=38",
"64-43=21",
"38+21=59"
] | Current State: 59:[67, 29, 64, 43], Operations: []
Exploring Operation: 67-29=38, Resulting Numbers: [64, 43, 38]
Generated Node #2: [64, 43, 38] from Operation: 67-29=38
Current State: 59:[64, 43, 38], Operations: ['67-29=38']
Exploring Operation: 64-43=21, Resulting Numbers: [38, 21]
Generated Node #3: [38, 21] from Operation: 64-43=21
Current State: 59:[38, 21], Operations: ['67-29=38', '64-43=21']
Exploring Operation: 38+21=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
73,
5,
9,
15
] | 57 | [
"73+5=78",
"9*15=135",
"135-78=57"
] | Current State: 57:[73, 5, 9, 15], Operations: []
Exploring Operation: 73+5=78, Resulting Numbers: [9, 15, 78]
Generated Node #2: [9, 15, 78] from Operation: 73+5=78
Current State: 57:[9, 15, 78], Operations: ['73+5=78']
Exploring Operation: 9*15=135, Resulting Numbers: [78, 135]
Generated Node #3: [78, 135] from Operation: 9*15=135
Current State: 57:[78, 135], Operations: ['73+5=78', '9*15=135']
Exploring Operation: 135-78=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
64,
8,
43,
44
] | 15 | [
"64+8=72",
"43+44=87",
"87-72=15"
] | Current State: 15:[64, 8, 43, 44], Operations: []
Exploring Operation: 64+8=72, Resulting Numbers: [43, 44, 72]
Generated Node #2: [43, 44, 72] from Operation: 64+8=72
Current State: 15:[43, 44, 72], Operations: ['64+8=72']
Exploring Operation: 43+44=87, Resulting Numbers: [72, 87]
Generated Node #3: [72, 87] from Operation: 43+44=87
Current State: 15:[72, 87], Operations: ['64+8=72', '43+44=87']
Exploring Operation: 87-72=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
32,
83,
2,
32
] | 45 | [
"32+32=64",
"2*64=128",
"128-83=45"
] | Current State: 45:[32, 83, 2, 32], Operations: []
Exploring Operation: 32+32=64, Resulting Numbers: [83, 2, 64]
Generated Node #2: [83, 2, 64] from Operation: 32+32=64
Current State: 45:[83, 2, 64], Operations: ['32+32=64']
Exploring Operation: 2*64=128, Resulting Numbers: [83, 128]
Generated Node #3: [83, 128] from Operation: 2*64=128
Current State: 45:[83, 128], Operations: ['32+32=64', '2*64=128']
Exploring Operation: 128-83=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
10,
19,
25,
52
] | 68 | [
"19-10=9",
"25+52=77",
"77-9=68"
] | Current State: 68:[10, 19, 25, 52], Operations: []
Exploring Operation: 19-10=9, Resulting Numbers: [25, 52, 9]
Generated Node #2: [25, 52, 9] from Operation: 19-10=9
Current State: 68:[25, 52, 9], Operations: ['19-10=9']
Exploring Operation: 25+52=77, Resulting Numbers: [9, 77]
Generated Node #3: [9, 77] from Operation: 25+52=77
Current State: 68:[9, 77], Operations: ['19-10=9', '25+52=77']
Exploring Operation: 77-9=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
40,
33,
63,
3
] | 67 | [
"40-33=7",
"63-3=60",
"7+60=67"
] | Current State: 67:[40, 33, 63, 3], Operations: []
Exploring Operation: 40-33=7, Resulting Numbers: [63, 3, 7]
Generated Node #2: [63, 3, 7] from Operation: 40-33=7
Current State: 67:[63, 3, 7], Operations: ['40-33=7']
Exploring Operation: 63-3=60, Resulting Numbers: [7, 60]
Generated Node #3: [7, 60] from Operation: 63-3=60
Current State: 67:[7, 60], Operations: ['40-33=7', '63-3=60']
Exploring Operation: 7+60=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
60,
26,
44,
73
] | 88 | [
"73-60=13",
"26*44=1144",
"1144/13=88"
] | Current State: 88:[60, 26, 44, 73], Operations: []
Exploring Operation: 73-60=13, Resulting Numbers: [26, 44, 13]
Generated Node #2: [26, 44, 13] from Operation: 73-60=13
Current State: 88:[26, 44, 13], Operations: ['73-60=13']
Exploring Operation: 26*44=1144, Resulting Numbers: [13, 1144]
Generated Node #3: [13, 1144] from Operation: 26*44=1144
Current State: 88:[13, 1144], Operations: ['73-60=13', '26*44=1144']
Exploring Operation: 1144/13=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
43,
33,
9,
7
] | 78 | [
"43+33=76",
"9-7=2",
"76+2=78"
] | Current State: 78:[43, 33, 9, 7], Operations: []
Exploring Operation: 43+33=76, Resulting Numbers: [9, 7, 76]
Generated Node #2: [9, 7, 76] from Operation: 43+33=76
Current State: 78:[9, 7, 76], Operations: ['43+33=76']
Exploring Operation: 9-7=2, Resulting Numbers: [76, 2]
Generated Node #3: [76, 2] from Operation: 9-7=2
Current State: 78:[76, 2], Operations: ['43+33=76', '9-7=2']
Exploring Operation: 76+2=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
7,
32,
40,
4
] | 46 | [
"7*32=224",
"224-40=184",
"184/4=46"
] | Current State: 46:[7, 32, 40, 4], Operations: []
Exploring Operation: 7*32=224, Resulting Numbers: [40, 4, 224]
Generated Node #2: [40, 4, 224] from Operation: 7*32=224
Current State: 46:[40, 4, 224], Operations: ['7*32=224']
Exploring Operation: 224-40=184, Resulting Numbers: [4, 184]
Generated Node #3: [4, 184] from Operation: 224-40=184
Current State: 46:[4, 184], Operations: ['7*32=224', '224-40=184']
Exploring Operation: 184/4=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
18,
18,
27,
47
] | 49 | [
"27-18=9",
"18/9=2",
"47+2=49"
] | Current State: 49:[18, 18, 27, 47], Operations: []
Exploring Operation: 27-18=9, Resulting Numbers: [47, 9]
Generated Node #2: [47, 9] from Operation: 27-18=9
Current State: 49:[47, 9], Operations: ['27-18=9']
Exploring Operation: 18/9=2, Resulting Numbers: [47, 2]
Generated Node #3: [47, 2] from Operation: 18/9=2
Current State: 49:[47, 2], Operations: ['27-18=9', '18/9=2']
Exploring Operation: 47+2=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
76,
21,
9,
44
] | 62 | [
"76+21=97",
"44-9=35",
"97-35=62"
] | Current State: 62:[76, 21, 9, 44], Operations: []
Exploring Operation: 76+21=97, Resulting Numbers: [9, 44, 97]
Generated Node #2: [9, 44, 97] from Operation: 76+21=97
Current State: 62:[9, 44, 97], Operations: ['76+21=97']
Exploring Operation: 44-9=35, Resulting Numbers: [97, 35]
Generated Node #3: [97, 35] from Operation: 44-9=35
Current State: 62:[97, 35], Operations: ['76+21=97', '44-9=35']
Exploring Operation: 97-35=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
50,
95,
68,
2
] | 72 | [
"50+68=118",
"95*2=190",
"190-118=72"
] | Current State: 72:[50, 95, 68, 2], Operations: []
Exploring Operation: 50+68=118, Resulting Numbers: [95, 2, 118]
Generated Node #2: [95, 2, 118] from Operation: 50+68=118
Current State: 72:[95, 2, 118], Operations: ['50+68=118']
Exploring Operation: 95*2=190, Resulting Numbers: [118, 190]
Generated Node #3: [118, 190] from Operation: 95*2=190
Current State: 72:[118, 190], Operations: ['50+68=118', '95*2=190']
Exploring Operation: 190-118=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
75,
81,
79,
77
] | 77 | [
"77-75=2",
"79*2=158",
"158-81=77"
] | Current State: 77:[75, 81, 79, 77], Operations: []
Exploring Operation: 77-75=2, Resulting Numbers: [81, 79, 2]
Generated Node #2: [81, 79, 2] from Operation: 77-75=2
Current State: 77:[81, 79, 2], Operations: ['77-75=2']
Exploring Operation: 79*2=158, Resulting Numbers: [81, 158]
Generated Node #3: [81, 158] from Operation: 79*2=158
Current State: 77:[81, 158], Operations: ['77-75=2', '79*2=158']
Exploring Operation: 158-81=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
4,
32,
43,
15
] | 50 | [
"32/4=8",
"43+15=58",
"58-8=50"
] | Current State: 50:[4, 32, 43, 15], Operations: []
Exploring Operation: 32/4=8, Resulting Numbers: [43, 15, 8]
Generated Node #2: [43, 15, 8] from Operation: 32/4=8
Current State: 50:[43, 15, 8], Operations: ['32/4=8']
Exploring Operation: 43+15=58, Resulting Numbers: [8, 58]
Generated Node #3: [8, 58] from Operation: 43+15=58
Current State: 50:[8, 58], Operations: ['32/4=8', '43+15=58']
Exploring Operation: 58-8=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
81,
49,
27,
35
] | 24 | [
"81-49=32",
"35-27=8",
"32-8=24"
] | Current State: 24:[81, 49, 27, 35], Operations: []
Exploring Operation: 81-49=32, Resulting Numbers: [27, 35, 32]
Generated Node #2: [27, 35, 32] from Operation: 81-49=32
Current State: 24:[27, 35, 32], Operations: ['81-49=32']
Exploring Operation: 35-27=8, Resulting Numbers: [32, 8]
Generated Node #3: [32, 8] from Operation: 35-27=8
Current State: 24:[32, 8], Operations: ['81-49=32', '35-27=8']
Exploring Operation: 32-8=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
20,
75,
26,
15
] | 15 | [
"26-20=6",
"75+15=90",
"90/6=15"
] | Current State: 15:[20, 75, 26, 15], Operations: []
Exploring Operation: 26-20=6, Resulting Numbers: [75, 15, 6]
Generated Node #2: [75, 15, 6] from Operation: 26-20=6
Current State: 15:[75, 15, 6], Operations: ['26-20=6']
Exploring Operation: 75+15=90, Resulting Numbers: [6, 90]
Generated Node #3: [6, 90] from Operation: 75+15=90
Current State: 15:[6, 90], Operations: ['26-20=6', '75+15=90']
Exploring Operation: 90/6=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
25,
61,
69,
14
] | 23 | [
"25*69=1725",
"61+14=75",
"1725/75=23"
] | Current State: 23:[25, 61, 69, 14], Operations: []
Exploring Operation: 25*69=1725, Resulting Numbers: [61, 14, 1725]
Generated Node #2: [61, 14, 1725] from Operation: 25*69=1725
Current State: 23:[61, 14, 1725], Operations: ['25*69=1725']
Exploring Operation: 61+14=75, Resulting Numbers: [1725, 75]
Generated Node #3: [1725, 75] from Operation: 61+14=75
Current State: 23:[1725, 75], Operations: ['25*69=1725', '61+14=75']
Exploring Operation: 1725/75=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
1,
86,
33,
88
] | 68 | [
"1+33=34",
"88-86=2",
"34*2=68"
] | Current State: 68:[1, 86, 33, 88], Operations: []
Exploring Operation: 1+33=34, Resulting Numbers: [86, 88, 34]
Generated Node #2: [86, 88, 34] from Operation: 1+33=34
Current State: 68:[86, 88, 34], Operations: ['1+33=34']
Exploring Operation: 88-86=2, Resulting Numbers: [34, 2]
Generated Node #3: [34, 2] from Operation: 88-86=2
Current State: 68:[34, 2], Operations: ['1+33=34', '88-86=2']
Exploring Operation: 34*2=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
7,
86,
22,
23
] | 31 | [
"86-23=63",
"63/7=9",
"22+9=31"
] | Current State: 31:[7, 86, 22, 23], Operations: []
Exploring Operation: 86-23=63, Resulting Numbers: [7, 22, 63]
Generated Node #2: [7, 22, 63] from Operation: 86-23=63
Current State: 31:[7, 22, 63], Operations: ['86-23=63']
Exploring Operation: 63/7=9, Resulting Numbers: [22, 9]
Generated Node #3: [22, 9] from Operation: 63/7=9
Current State: 31:[22, 9], Operations: ['86-23=63', '63/7=9']
Exploring Operation: 22+9=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
30,
28,
24,
46
] | 11 | [
"30*28=840",
"840/24=35",
"46-35=11"
] | Current State: 11:[30, 28, 24, 46], Operations: []
Exploring Operation: 30*28=840, Resulting Numbers: [24, 46, 840]
Generated Node #2: [24, 46, 840] from Operation: 30*28=840
Current State: 11:[24, 46, 840], Operations: ['30*28=840']
Exploring Operation: 840/24=35, Resulting Numbers: [46, 35]
Generated Node #3: [46, 35] from Operation: 840/24=35
Current State: 11:[46, 35], Operations: ['30*28=840', '840/24=35']
Exploring Operation: 46-35=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
24,
66,
3,
11
] | 93 | [
"66-24=42",
"42-11=31",
"3*31=93"
] | Current State: 93:[24, 66, 3, 11], Operations: []
Exploring Operation: 66-24=42, Resulting Numbers: [3, 11, 42]
Generated Node #2: [3, 11, 42] from Operation: 66-24=42
Current State: 93:[3, 11, 42], Operations: ['66-24=42']
Exploring Operation: 42-11=31, Resulting Numbers: [3, 31]
Generated Node #3: [3, 31] from Operation: 42-11=31
Current State: 93:[3, 31], Operations: ['66-24=42', '42-11=31']
Exploring Operation: 3*31=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
95,
36,
23,
6
] | 18 | [
"95+36=131",
"131-23=108",
"108/6=18"
] | Current State: 18:[95, 36, 23, 6], Operations: []
Exploring Operation: 95+36=131, Resulting Numbers: [23, 6, 131]
Generated Node #2: [23, 6, 131] from Operation: 95+36=131
Current State: 18:[23, 6, 131], Operations: ['95+36=131']
Exploring Operation: 131-23=108, Resulting Numbers: [6, 108]
Generated Node #3: [6, 108] from Operation: 131-23=108
Current State: 18:[6, 108], Operations: ['95+36=131', '131-23=108']
Exploring Operation: 108/6=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
56,
37,
20,
61
] | 62 | [
"56-37=19",
"20+61=81",
"81-19=62"
] | Current State: 62:[56, 37, 20, 61], Operations: []
Exploring Operation: 56-37=19, Resulting Numbers: [20, 61, 19]
Generated Node #2: [20, 61, 19] from Operation: 56-37=19
Current State: 62:[20, 61, 19], Operations: ['56-37=19']
Exploring Operation: 20+61=81, Resulting Numbers: [19, 81]
Generated Node #3: [19, 81] from Operation: 20+61=81
Current State: 62:[19, 81], Operations: ['56-37=19', '20+61=81']
Exploring Operation: 81-19=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
93,
21,
38,
95
] | 40 | [
"95-93=2",
"38/2=19",
"21+19=40"
] | Current State: 40:[93, 21, 38, 95], Operations: []
Exploring Operation: 95-93=2, Resulting Numbers: [21, 38, 2]
Generated Node #2: [21, 38, 2] from Operation: 95-93=2
Current State: 40:[21, 38, 2], Operations: ['95-93=2']
Exploring Operation: 38/2=19, Resulting Numbers: [21, 19]
Generated Node #3: [21, 19] from Operation: 38/2=19
Current State: 40:[21, 19], Operations: ['95-93=2', '38/2=19']
Exploring Operation: 21+19=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
6,
74,
54,
1
] | 84 | [
"54/6=9",
"74+1=75",
"9+75=84"
] | Current State: 84:[6, 74, 54, 1], Operations: []
Exploring Operation: 54/6=9, Resulting Numbers: [74, 1, 9]
Generated Node #2: [74, 1, 9] from Operation: 54/6=9
Current State: 84:[74, 1, 9], Operations: ['54/6=9']
Exploring Operation: 74+1=75, Resulting Numbers: [9, 75]
Generated Node #3: [9, 75] from Operation: 74+1=75
Current State: 84:[9, 75], Operations: ['54/6=9', '74+1=75']
Exploring Operation: 9+75=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
68,
18,
47,
93
] | 54 | [
"68+18=86",
"47+93=140",
"140-86=54"
] | Current State: 54:[68, 18, 47, 93], Operations: []
Exploring Operation: 68+18=86, Resulting Numbers: [47, 93, 86]
Generated Node #2: [47, 93, 86] from Operation: 68+18=86
Current State: 54:[47, 93, 86], Operations: ['68+18=86']
Exploring Operation: 47+93=140, Resulting Numbers: [86, 140]
Generated Node #3: [86, 140] from Operation: 47+93=140
Current State: 54:[86, 140], Operations: ['68+18=86', '47+93=140']
Exploring Operation: 140-86=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
77,
80,
70,
15
] | 87 | [
"80+70=150",
"150/15=10",
"77+10=87"
] | Current State: 87:[77, 80, 70, 15], Operations: []
Exploring Operation: 80+70=150, Resulting Numbers: [77, 15, 150]
Generated Node #2: [77, 15, 150] from Operation: 80+70=150
Current State: 87:[77, 15, 150], Operations: ['80+70=150']
Exploring Operation: 150/15=10, Resulting Numbers: [77, 10]
Generated Node #3: [77, 10] from Operation: 150/15=10
Current State: 87:[77, 10], Operations: ['80+70=150', '150/15=10']
Exploring Operation: 77+10=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
92,
60,
53,
58
] | 79 | [
"92-60=32",
"53+58=111",
"111-32=79"
] | Current State: 79:[92, 60, 53, 58], Operations: []
Exploring Operation: 92-60=32, Resulting Numbers: [53, 58, 32]
Generated Node #2: [53, 58, 32] from Operation: 92-60=32
Current State: 79:[53, 58, 32], Operations: ['92-60=32']
Exploring Operation: 53+58=111, Resulting Numbers: [32, 111]
Generated Node #3: [32, 111] from Operation: 53+58=111
Current State: 79:[32, 111], Operations: ['92-60=32', '53+58=111']
Exploring Operation: 111-32=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
40,
99,
49,
21
] | 46 | [
"99+21=120",
"120/40=3",
"49-3=46"
] | Current State: 46:[40, 99, 49, 21], Operations: []
Exploring Operation: 99+21=120, Resulting Numbers: [40, 49, 120]
Generated Node #2: [40, 49, 120] from Operation: 99+21=120
Current State: 46:[40, 49, 120], Operations: ['99+21=120']
Exploring Operation: 120/40=3, Resulting Numbers: [49, 3]
Generated Node #3: [49, 3] from Operation: 120/40=3
Current State: 46:[49, 3], Operations: ['99+21=120', '120/40=3']
Exploring Operation: 49-3=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
16,
18,
51,
45
] | 14 | [
"51-16=35",
"18*35=630",
"630/45=14"
] | Current State: 14:[16, 18, 51, 45], Operations: []
Exploring Operation: 51-16=35, Resulting Numbers: [18, 45, 35]
Generated Node #2: [18, 45, 35] from Operation: 51-16=35
Current State: 14:[18, 45, 35], Operations: ['51-16=35']
Exploring Operation: 18*35=630, Resulting Numbers: [45, 630]
Generated Node #3: [45, 630] from Operation: 18*35=630
Current State: 14:[45, 630], Operations: ['51-16=35', '18*35=630']
Exploring Operation: 630/45=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
2,
2,
51,
74
] | 95 | [
"2+51=53",
"2*74=148",
"148-53=95"
] | Current State: 95:[2, 2, 51, 74], Operations: []
Exploring Operation: 2+51=53, Resulting Numbers: [74, 53]
Generated Node #2: [74, 53] from Operation: 2+51=53
Current State: 95:[74, 53], Operations: ['2+51=53']
Exploring Operation: 2*74=148, Resulting Numbers: [53, 148]
Generated Node #3: [53, 148] from Operation: 2*74=148
Current State: 95:[53, 148], Operations: ['2+51=53', '2*74=148']
Exploring Operation: 148-53=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
69,
63,
29,
37
] | 78 | [
"63*37=2331",
"2331-69=2262",
"2262/29=78"
] | Current State: 78:[69, 63, 29, 37], Operations: []
Exploring Operation: 63*37=2331, Resulting Numbers: [69, 29, 2331]
Generated Node #2: [69, 29, 2331] from Operation: 63*37=2331
Current State: 78:[69, 29, 2331], Operations: ['63*37=2331']
Exploring Operation: 2331-69=2262, Resulting Numbers: [29, 2262]
Generated Node #3: [29, 2262] from Operation: 2331-69=2262
Current State: 78:[29, 2262], Operations: ['63*37=2331', '2331-69=2262']
Exploring Operation: 2262/29=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
7,
4,
54,
63
] | 49 | [
"63/7=9",
"4+54=58",
"58-9=49"
] | Current State: 49:[7, 4, 54, 63], Operations: []
Exploring Operation: 63/7=9, Resulting Numbers: [4, 54, 9]
Generated Node #2: [4, 54, 9] from Operation: 63/7=9
Current State: 49:[4, 54, 9], Operations: ['63/7=9']
Exploring Operation: 4+54=58, Resulting Numbers: [9, 58]
Generated Node #3: [9, 58] from Operation: 4+54=58
Current State: 49:[9, 58], Operations: ['63/7=9', '4+54=58']
Exploring Operation: 58-9=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
94,
29,
3,
93
] | 34 | [
"94-29=65",
"93/3=31",
"65-31=34"
] | Current State: 34:[94, 29, 3, 93], Operations: []
Exploring Operation: 94-29=65, Resulting Numbers: [3, 93, 65]
Generated Node #2: [3, 93, 65] from Operation: 94-29=65
Current State: 34:[3, 93, 65], Operations: ['94-29=65']
Exploring Operation: 93/3=31, Resulting Numbers: [65, 31]
Generated Node #3: [65, 31] from Operation: 93/3=31
Current State: 34:[65, 31], Operations: ['94-29=65', '93/3=31']
Exploring Operation: 65-31=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
59,
52,
77,
98
] | 25 | [
"59-52=7",
"77+98=175",
"175/7=25"
] | Current State: 25:[59, 52, 77, 98], Operations: []
Exploring Operation: 59-52=7, Resulting Numbers: [77, 98, 7]
Generated Node #2: [77, 98, 7] from Operation: 59-52=7
Current State: 25:[77, 98, 7], Operations: ['59-52=7']
Exploring Operation: 77+98=175, Resulting Numbers: [7, 175]
Generated Node #3: [7, 175] from Operation: 77+98=175
Current State: 25:[7, 175], Operations: ['59-52=7', '77+98=175']
Exploring Operation: 175/7=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
11,
79,
78,
27
] | 16 | [
"27-11=16",
"79-78=1",
"16*1=16"
] | Current State: 16:[11, 79, 78, 27], Operations: []
Exploring Operation: 27-11=16, Resulting Numbers: [79, 78, 16]
Generated Node #2: [79, 78, 16] from Operation: 27-11=16
Current State: 16:[79, 78, 16], Operations: ['27-11=16']
Exploring Operation: 79-78=1, Resulting Numbers: [16, 1]
Generated Node #3: [16, 1] from Operation: 79-78=1
Current State: 16:[16, 1], Operations: ['27-11=16', '79-78=1']
Exploring Operation: 16*1=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
33,
6,
16,
76
] | 53 | [
"33+6=39",
"16+76=92",
"92-39=53"
] | Current State: 53:[33, 6, 16, 76], Operations: []
Exploring Operation: 33+6=39, Resulting Numbers: [16, 76, 39]
Generated Node #2: [16, 76, 39] from Operation: 33+6=39
Current State: 53:[16, 76, 39], Operations: ['33+6=39']
Exploring Operation: 16+76=92, Resulting Numbers: [39, 92]
Generated Node #3: [39, 92] from Operation: 16+76=92
Current State: 53:[39, 92], Operations: ['33+6=39', '16+76=92']
Exploring Operation: 92-39=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
52,
65,
88,
70
] | 32 | [
"52*70=3640",
"3640/65=56",
"88-56=32"
] | Current State: 32:[52, 65, 88, 70], Operations: []
Exploring Operation: 52*70=3640, Resulting Numbers: [65, 88, 3640]
Generated Node #2: [65, 88, 3640] from Operation: 52*70=3640
Current State: 32:[65, 88, 3640], Operations: ['52*70=3640']
Exploring Operation: 3640/65=56, Resulting Numbers: [88, 56]
Generated Node #3: [88, 56] from Operation: 3640/65=56
Current State: 32:[88, 56], Operations: ['52*70=3640', '3640/65=56']
Exploring Operation: 88-56=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
33,
71,
89,
2
] | 53 | [
"71-33=38",
"89+2=91",
"91-38=53"
] | Current State: 53:[33, 71, 89, 2], Operations: []
Exploring Operation: 71-33=38, Resulting Numbers: [89, 2, 38]
Generated Node #2: [89, 2, 38] from Operation: 71-33=38
Current State: 53:[89, 2, 38], Operations: ['71-33=38']
Exploring Operation: 89+2=91, Resulting Numbers: [38, 91]
Generated Node #3: [38, 91] from Operation: 89+2=91
Current State: 53:[38, 91], Operations: ['71-33=38', '89+2=91']
Exploring Operation: 91-38=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
2,
1,
33,
50
] | 69 | [
"1+50=51",
"2*51=102",
"102-33=69"
] | Current State: 69:[2, 1, 33, 50], Operations: []
Exploring Operation: 1+50=51, Resulting Numbers: [2, 33, 51]
Generated Node #2: [2, 33, 51] from Operation: 1+50=51
Current State: 69:[2, 33, 51], Operations: ['1+50=51']
Exploring Operation: 2*51=102, Resulting Numbers: [33, 102]
Generated Node #3: [33, 102] from Operation: 2*51=102
Current State: 69:[33, 102], Operations: ['1+50=51', '2*51=102']
Exploring Operation: 102-33=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
26,
71,
70,
49
] | 74 | [
"71-26=45",
"70+49=119",
"119-45=74"
] | Current State: 74:[26, 71, 70, 49], Operations: []
Exploring Operation: 71-26=45, Resulting Numbers: [70, 49, 45]
Generated Node #2: [70, 49, 45] from Operation: 71-26=45
Current State: 74:[70, 49, 45], Operations: ['71-26=45']
Exploring Operation: 70+49=119, Resulting Numbers: [45, 119]
Generated Node #3: [45, 119] from Operation: 70+49=119
Current State: 74:[45, 119], Operations: ['71-26=45', '70+49=119']
Exploring Operation: 119-45=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
18,
6,
62,
41
] | 33 | [
"18-6=12",
"62-41=21",
"12+21=33"
] | Current State: 33:[18, 6, 62, 41], Operations: []
Exploring Operation: 18-6=12, Resulting Numbers: [62, 41, 12]
Generated Node #2: [62, 41, 12] from Operation: 18-6=12
Current State: 33:[62, 41, 12], Operations: ['18-6=12']
Exploring Operation: 62-41=21, Resulting Numbers: [12, 21]
Generated Node #3: [12, 21] from Operation: 62-41=21
Current State: 33:[12, 21], Operations: ['18-6=12', '62-41=21']
Exploring Operation: 12+21=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
53,
24,
25,
77
] | 26 | [
"53+24=77",
"77/77=1",
"25+1=26"
] | Current State: 26:[53, 24, 25, 77], Operations: []
Exploring Operation: 53+24=77, Resulting Numbers: [25, 77, 77]
Generated Node #2: [25, 77, 77] from Operation: 53+24=77
Current State: 26:[25, 77, 77], Operations: ['53+24=77']
Exploring Operation: 77/77=1, Resulting Numbers: [25, 1]
Generated Node #3: [25, 1] from Operation: 77/77=1
Current State: 26:[25, 1], Operations: ['53+24=77', '77/77=1']
Exploring Operation: 25+1=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
82,
74,
94,
8
] | 52 | [
"82+94=176",
"176/8=22",
"74-22=52"
] | Current State: 52:[82, 74, 94, 8], Operations: []
Exploring Operation: 82+94=176, Resulting Numbers: [74, 8, 176]
Generated Node #2: [74, 8, 176] from Operation: 82+94=176
Current State: 52:[74, 8, 176], Operations: ['82+94=176']
Exploring Operation: 176/8=22, Resulting Numbers: [74, 22]
Generated Node #3: [74, 22] from Operation: 176/8=22
Current State: 52:[74, 22], Operations: ['82+94=176', '176/8=22']
Exploring Operation: 74-22=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
89,
9,
40,
5
] | 72 | [
"89-9=80",
"40/5=8",
"80-8=72"
] | Current State: 72:[89, 9, 40, 5], Operations: []
Exploring Operation: 89-9=80, Resulting Numbers: [40, 5, 80]
Generated Node #2: [40, 5, 80] from Operation: 89-9=80
Current State: 72:[40, 5, 80], Operations: ['89-9=80']
Exploring Operation: 40/5=8, Resulting Numbers: [80, 8]
Generated Node #3: [80, 8] from Operation: 40/5=8
Current State: 72:[80, 8], Operations: ['89-9=80', '40/5=8']
Exploring Operation: 80-8=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
42,
98,
34,
70
] | 64 | [
"42*70=2940",
"2940/98=30",
"34+30=64"
] | Current State: 64:[42, 98, 34, 70], Operations: []
Exploring Operation: 42*70=2940, Resulting Numbers: [98, 34, 2940]
Generated Node #2: [98, 34, 2940] from Operation: 42*70=2940
Current State: 64:[98, 34, 2940], Operations: ['42*70=2940']
Exploring Operation: 2940/98=30, Resulting Numbers: [34, 30]
Generated Node #3: [34, 30] from Operation: 2940/98=30
Current State: 64:[34, 30], Operations: ['42*70=2940', '2940/98=30']
Exploring Operation: 34+30=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
5,
10,
25,
11
] | 45 | [
"25/5=5",
"11*5=55",
"55-10=45"
] | Current State: 45:[5, 10, 25, 11], Operations: []
Exploring Operation: 25/5=5, Resulting Numbers: [10, 11, 5]
Generated Node #2: [10, 11, 5] from Operation: 25/5=5
Current State: 45:[10, 11, 5], Operations: ['25/5=5']
Exploring Operation: 11*5=55, Resulting Numbers: [10, 55]
Generated Node #3: [10, 55] from Operation: 11*5=55
Current State: 45:[10, 55], Operations: ['25/5=5', '11*5=55']
Exploring Operation: 55-10=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
73,
22,
10,
8
] | 67 | [
"22-8=14",
"10*14=140",
"140-73=67"
] | Current State: 67:[73, 22, 10, 8], Operations: []
Exploring Operation: 22-8=14, Resulting Numbers: [73, 10, 14]
Generated Node #2: [73, 10, 14] from Operation: 22-8=14
Current State: 67:[73, 10, 14], Operations: ['22-8=14']
Exploring Operation: 10*14=140, Resulting Numbers: [73, 140]
Generated Node #3: [73, 140] from Operation: 10*14=140
Current State: 67:[73, 140], Operations: ['22-8=14', '10*14=140']
Exploring Operation: 140-73=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
37,
79,
53,
89
] | 26 | [
"37+79=116",
"53+89=142",
"142-116=26"
] | Current State: 26:[37, 79, 53, 89], Operations: []
Exploring Operation: 37+79=116, Resulting Numbers: [53, 89, 116]
Generated Node #2: [53, 89, 116] from Operation: 37+79=116
Current State: 26:[53, 89, 116], Operations: ['37+79=116']
Exploring Operation: 53+89=142, Resulting Numbers: [116, 142]
Generated Node #3: [116, 142] from Operation: 53+89=142
Current State: 26:[116, 142], Operations: ['37+79=116', '53+89=142']
Exploring Operation: 142-116=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
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