nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
82,
20,
40,
50
] | 84 | [
"50-40=10",
"20/10=2",
"82+2=84"
] | Current State: 84:[82, 20, 40, 50], Operations: []
Exploring Operation: 50-40=10, Resulting Numbers: [82, 20, 10]
Generated Node #2: [82, 20, 10] from Operation: 50-40=10
Current State: 84:[82, 20, 10], Operations: ['50-40=10']
Exploring Operation: 20/10=2, Resulting Numbers: [82, 2]
Generated Node #3: [82, 2] from Operation: 20/10=2
Current State: 84:[82, 2], Operations: ['50-40=10', '20/10=2']
Exploring Operation: 82+2=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
20,
80,
50,
36
] | 56 | [
"80/20=4",
"50-36=14",
"4*14=56"
] | Current State: 56:[20, 80, 50, 36], Operations: []
Exploring Operation: 80/20=4, Resulting Numbers: [50, 36, 4]
Generated Node #2: [50, 36, 4] from Operation: 80/20=4
Current State: 56:[50, 36, 4], Operations: ['80/20=4']
Exploring Operation: 50-36=14, Resulting Numbers: [4, 14]
Generated Node #3: [4, 14] from Operation: 50-36=14
Current State: 56:[4, 14], Operations: ['80/20=4', '50-36=14']
Exploring Operation: 4*14=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
46,
60,
43,
2
] | 31 | [
"60-46=14",
"43+2=45",
"45-14=31"
] | Current State: 31:[46, 60, 43, 2], Operations: []
Exploring Operation: 60-46=14, Resulting Numbers: [43, 2, 14]
Generated Node #2: [43, 2, 14] from Operation: 60-46=14
Current State: 31:[43, 2, 14], Operations: ['60-46=14']
Exploring Operation: 43+2=45, Resulting Numbers: [14, 45]
Generated Node #3: [14, 45] from Operation: 43+2=45
Current State: 31:[14, 45], Operations: ['60-46=14', '43+2=45']
Exploring Operation: 45-14=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
37,
13,
35,
79
] | 33 | [
"37-35=2",
"79-13=66",
"66/2=33"
] | Current State: 33:[37, 13, 35, 79], Operations: []
Exploring Operation: 37-35=2, Resulting Numbers: [13, 79, 2]
Generated Node #2: [13, 79, 2] from Operation: 37-35=2
Current State: 33:[13, 79, 2], Operations: ['37-35=2']
Exploring Operation: 79-13=66, Resulting Numbers: [2, 66]
Generated Node #3: [2, 66] from Operation: 79-13=66
Current State: 33:[2, 66], Operations: ['37-35=2', '79-13=66']
Exploring Operation: 66/2=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
43,
66,
52,
77
] | 63 | [
"52+77=129",
"129/43=3",
"66-3=63"
] | Current State: 63:[43, 66, 52, 77], Operations: []
Exploring Operation: 52+77=129, Resulting Numbers: [43, 66, 129]
Generated Node #2: [43, 66, 129] from Operation: 52+77=129
Current State: 63:[43, 66, 129], Operations: ['52+77=129']
Exploring Operation: 129/43=3, Resulting Numbers: [66, 3]
Generated Node #3: [66, 3] from Operation: 129/43=3
Current State: 63:[66, 3], Operations: ['52+77=129', '129/43=3']
Exploring Operation: 66-3=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
76,
17,
74,
52
] | 71 | [
"76+17=93",
"74-52=22",
"93-22=71"
] | Current State: 71:[76, 17, 74, 52], Operations: []
Exploring Operation: 76+17=93, Resulting Numbers: [74, 52, 93]
Generated Node #2: [74, 52, 93] from Operation: 76+17=93
Current State: 71:[74, 52, 93], Operations: ['76+17=93']
Exploring Operation: 74-52=22, Resulting Numbers: [93, 22]
Generated Node #3: [93, 22] from Operation: 74-52=22
Current State: 71:[93, 22], Operations: ['76+17=93', '74-52=22']
Exploring Operation: 93-22=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
55,
3,
95,
7
] | 89 | [
"95+7=102",
"102/3=34",
"55+34=89"
] | Current State: 89:[55, 3, 95, 7], Operations: []
Exploring Operation: 95+7=102, Resulting Numbers: [55, 3, 102]
Generated Node #2: [55, 3, 102] from Operation: 95+7=102
Current State: 89:[55, 3, 102], Operations: ['95+7=102']
Exploring Operation: 102/3=34, Resulting Numbers: [55, 34]
Generated Node #3: [55, 34] from Operation: 102/3=34
Current State: 89:[55, 34], Operations: ['95+7=102', '102/3=34']
Exploring Operation: 55+34=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
68,
17,
34,
52
] | 90 | [
"68/17=4",
"34+52=86",
"4+86=90"
] | Current State: 90:[68, 17, 34, 52], Operations: []
Exploring Operation: 68/17=4, Resulting Numbers: [34, 52, 4]
Generated Node #2: [34, 52, 4] from Operation: 68/17=4
Current State: 90:[34, 52, 4], Operations: ['68/17=4']
Exploring Operation: 34+52=86, Resulting Numbers: [4, 86]
Generated Node #3: [4, 86] from Operation: 34+52=86
Current State: 90:[4, 86], Operations: ['68/17=4', '34+52=86']
Exploring Operation: 4+86=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
75,
55,
72,
97
] | 39 | [
"75+55=130",
"72+97=169",
"169-130=39"
] | Current State: 39:[75, 55, 72, 97], Operations: []
Exploring Operation: 75+55=130, Resulting Numbers: [72, 97, 130]
Generated Node #2: [72, 97, 130] from Operation: 75+55=130
Current State: 39:[72, 97, 130], Operations: ['75+55=130']
Exploring Operation: 72+97=169, Resulting Numbers: [130, 169]
Generated Node #3: [130, 169] from Operation: 72+97=169
Current State: 39:[130, 169], Operations: ['75+55=130', '72+97=169']
Exploring Operation: 169-130=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
36,
77,
3,
28
] | 29 | [
"36+77=113",
"3*28=84",
"113-84=29"
] | Current State: 29:[36, 77, 3, 28], Operations: []
Exploring Operation: 36+77=113, Resulting Numbers: [3, 28, 113]
Generated Node #2: [3, 28, 113] from Operation: 36+77=113
Current State: 29:[3, 28, 113], Operations: ['36+77=113']
Exploring Operation: 3*28=84, Resulting Numbers: [113, 84]
Generated Node #3: [113, 84] from Operation: 3*28=84
Current State: 29:[113, 84], Operations: ['36+77=113', '3*28=84']
Exploring Operation: 113-84=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
16,
93,
40,
28
] | 23 | [
"40*28=1120",
"1120/16=70",
"93-70=23"
] | Current State: 23:[16, 93, 40, 28], Operations: []
Exploring Operation: 40*28=1120, Resulting Numbers: [16, 93, 1120]
Generated Node #2: [16, 93, 1120] from Operation: 40*28=1120
Current State: 23:[16, 93, 1120], Operations: ['40*28=1120']
Exploring Operation: 1120/16=70, Resulting Numbers: [93, 70]
Generated Node #3: [93, 70] from Operation: 1120/16=70
Current State: 23:[93, 70], Operations: ['40*28=1120', '1120/16=70']
Exploring Operation: 93-70=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
20,
14,
26,
93
] | 91 | [
"14+26=40",
"40/20=2",
"93-2=91"
] | Current State: 91:[20, 14, 26, 93], Operations: []
Exploring Operation: 14+26=40, Resulting Numbers: [20, 93, 40]
Generated Node #2: [20, 93, 40] from Operation: 14+26=40
Current State: 91:[20, 93, 40], Operations: ['14+26=40']
Exploring Operation: 40/20=2, Resulting Numbers: [93, 2]
Generated Node #3: [93, 2] from Operation: 40/20=2
Current State: 91:[93, 2], Operations: ['14+26=40', '40/20=2']
Exploring Operation: 93-2=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
52,
78,
27,
62
] | 63 | [
"78-52=26",
"27+62=89",
"89-26=63"
] | Current State: 63:[52, 78, 27, 62], Operations: []
Exploring Operation: 78-52=26, Resulting Numbers: [27, 62, 26]
Generated Node #2: [27, 62, 26] from Operation: 78-52=26
Current State: 63:[27, 62, 26], Operations: ['78-52=26']
Exploring Operation: 27+62=89, Resulting Numbers: [26, 89]
Generated Node #3: [26, 89] from Operation: 27+62=89
Current State: 63:[26, 89], Operations: ['78-52=26', '27+62=89']
Exploring Operation: 89-26=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
56,
15,
7,
90
] | 26 | [
"56+15=71",
"7+90=97",
"97-71=26"
] | Current State: 26:[56, 15, 7, 90], Operations: []
Exploring Operation: 56+15=71, Resulting Numbers: [7, 90, 71]
Generated Node #2: [7, 90, 71] from Operation: 56+15=71
Current State: 26:[7, 90, 71], Operations: ['56+15=71']
Exploring Operation: 7+90=97, Resulting Numbers: [71, 97]
Generated Node #3: [71, 97] from Operation: 7+90=97
Current State: 26:[71, 97], Operations: ['56+15=71', '7+90=97']
Exploring Operation: 97-71=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
86,
4,
33,
21
] | 83 | [
"33-21=12",
"12/4=3",
"86-3=83"
] | Current State: 83:[86, 4, 33, 21], Operations: []
Exploring Operation: 33-21=12, Resulting Numbers: [86, 4, 12]
Generated Node #2: [86, 4, 12] from Operation: 33-21=12
Current State: 83:[86, 4, 12], Operations: ['33-21=12']
Exploring Operation: 12/4=3, Resulting Numbers: [86, 3]
Generated Node #3: [86, 3] from Operation: 12/4=3
Current State: 83:[86, 3], Operations: ['33-21=12', '12/4=3']
Exploring Operation: 86-3=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
25,
79,
13,
5
] | 11 | [
"79-25=54",
"13*5=65",
"65-54=11"
] | Current State: 11:[25, 79, 13, 5], Operations: []
Exploring Operation: 79-25=54, Resulting Numbers: [13, 5, 54]
Generated Node #2: [13, 5, 54] from Operation: 79-25=54
Current State: 11:[13, 5, 54], Operations: ['79-25=54']
Exploring Operation: 13*5=65, Resulting Numbers: [54, 65]
Generated Node #3: [54, 65] from Operation: 13*5=65
Current State: 11:[54, 65], Operations: ['79-25=54', '13*5=65']
Exploring Operation: 65-54=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
62,
90,
3,
27
] | 65 | [
"62-27=35",
"90/3=30",
"35+30=65"
] | Current State: 65:[62, 90, 3, 27], Operations: []
Exploring Operation: 62-27=35, Resulting Numbers: [90, 3, 35]
Generated Node #2: [90, 3, 35] from Operation: 62-27=35
Current State: 65:[90, 3, 35], Operations: ['62-27=35']
Exploring Operation: 90/3=30, Resulting Numbers: [35, 30]
Generated Node #3: [35, 30] from Operation: 90/3=30
Current State: 65:[35, 30], Operations: ['62-27=35', '90/3=30']
Exploring Operation: 35+30=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
1,
87,
88,
75
] | 73 | [
"87-1=86",
"88-75=13",
"86-13=73"
] | Current State: 73:[1, 87, 88, 75], Operations: []
Exploring Operation: 87-1=86, Resulting Numbers: [88, 75, 86]
Generated Node #2: [88, 75, 86] from Operation: 87-1=86
Current State: 73:[88, 75, 86], Operations: ['87-1=86']
Exploring Operation: 88-75=13, Resulting Numbers: [86, 13]
Generated Node #3: [86, 13] from Operation: 88-75=13
Current State: 73:[86, 13], Operations: ['87-1=86', '88-75=13']
Exploring Operation: 86-13=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
67,
67,
7,
89
] | 52 | [
"67+67=134",
"89-7=82",
"134-82=52"
] | Current State: 52:[67, 67, 7, 89], Operations: []
Exploring Operation: 67+67=134, Resulting Numbers: [7, 89, 134]
Generated Node #2: [7, 89, 134] from Operation: 67+67=134
Current State: 52:[7, 89, 134], Operations: ['67+67=134']
Exploring Operation: 89-7=82, Resulting Numbers: [134, 82]
Generated Node #3: [134, 82] from Operation: 89-7=82
Current State: 52:[134, 82], Operations: ['67+67=134', '89-7=82']
Exploring Operation: 134-82=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
22,
57,
40,
6
] | 45 | [
"22+57=79",
"40-6=34",
"79-34=45"
] | Current State: 45:[22, 57, 40, 6], Operations: []
Exploring Operation: 22+57=79, Resulting Numbers: [40, 6, 79]
Generated Node #2: [40, 6, 79] from Operation: 22+57=79
Current State: 45:[40, 6, 79], Operations: ['22+57=79']
Exploring Operation: 40-6=34, Resulting Numbers: [79, 34]
Generated Node #3: [79, 34] from Operation: 40-6=34
Current State: 45:[79, 34], Operations: ['22+57=79', '40-6=34']
Exploring Operation: 79-34=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
25,
49,
46,
76
] | 44 | [
"25+49=74",
"76-46=30",
"74-30=44"
] | Current State: 44:[25, 49, 46, 76], Operations: []
Exploring Operation: 25+49=74, Resulting Numbers: [46, 76, 74]
Generated Node #2: [46, 76, 74] from Operation: 25+49=74
Current State: 44:[46, 76, 74], Operations: ['25+49=74']
Exploring Operation: 76-46=30, Resulting Numbers: [74, 30]
Generated Node #3: [74, 30] from Operation: 76-46=30
Current State: 44:[74, 30], Operations: ['25+49=74', '76-46=30']
Exploring Operation: 74-30=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
10,
21,
6,
2
] | 32 | [
"10/2=5",
"21+6=27",
"5+27=32"
] | Current State: 32:[10, 21, 6, 2], Operations: []
Exploring Operation: 10/2=5, Resulting Numbers: [21, 6, 5]
Generated Node #2: [21, 6, 5] from Operation: 10/2=5
Current State: 32:[21, 6, 5], Operations: ['10/2=5']
Exploring Operation: 21+6=27, Resulting Numbers: [5, 27]
Generated Node #3: [5, 27] from Operation: 21+6=27
Current State: 32:[5, 27], Operations: ['10/2=5', '21+6=27']
Exploring Operation: 5+27=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
25,
20,
2,
8
] | 54 | [
"25-8=17",
"2*17=34",
"20+34=54"
] | Current State: 54:[25, 20, 2, 8], Operations: []
Exploring Operation: 25-8=17, Resulting Numbers: [20, 2, 17]
Generated Node #2: [20, 2, 17] from Operation: 25-8=17
Current State: 54:[20, 2, 17], Operations: ['25-8=17']
Exploring Operation: 2*17=34, Resulting Numbers: [20, 34]
Generated Node #3: [20, 34] from Operation: 2*17=34
Current State: 54:[20, 34], Operations: ['25-8=17', '2*17=34']
Exploring Operation: 20+34=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
66,
64,
75,
84
] | 11 | [
"66-64=2",
"84-75=9",
"2+9=11"
] | Current State: 11:[66, 64, 75, 84], Operations: []
Exploring Operation: 66-64=2, Resulting Numbers: [75, 84, 2]
Generated Node #2: [75, 84, 2] from Operation: 66-64=2
Current State: 11:[75, 84, 2], Operations: ['66-64=2']
Exploring Operation: 84-75=9, Resulting Numbers: [2, 9]
Generated Node #3: [2, 9] from Operation: 84-75=9
Current State: 11:[2, 9], Operations: ['66-64=2', '84-75=9']
Exploring Operation: 2+9=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
9,
39,
49,
6
] | 91 | [
"9+39=48",
"49-6=43",
"48+43=91"
] | Current State: 91:[9, 39, 49, 6], Operations: []
Exploring Operation: 9+39=48, Resulting Numbers: [49, 6, 48]
Generated Node #2: [49, 6, 48] from Operation: 9+39=48
Current State: 91:[49, 6, 48], Operations: ['9+39=48']
Exploring Operation: 49-6=43, Resulting Numbers: [48, 43]
Generated Node #3: [48, 43] from Operation: 49-6=43
Current State: 91:[48, 43], Operations: ['9+39=48', '49-6=43']
Exploring Operation: 48+43=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
56,
66,
21,
70
] | 81 | [
"66-56=10",
"21+70=91",
"91-10=81"
] | Current State: 81:[56, 66, 21, 70], Operations: []
Exploring Operation: 66-56=10, Resulting Numbers: [21, 70, 10]
Generated Node #2: [21, 70, 10] from Operation: 66-56=10
Current State: 81:[21, 70, 10], Operations: ['66-56=10']
Exploring Operation: 21+70=91, Resulting Numbers: [10, 91]
Generated Node #3: [10, 91] from Operation: 21+70=91
Current State: 81:[10, 91], Operations: ['66-56=10', '21+70=91']
Exploring Operation: 91-10=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
84,
77,
22,
48
] | 10 | [
"84-77=7",
"22+48=70",
"70/7=10"
] | Current State: 10:[84, 77, 22, 48], Operations: []
Exploring Operation: 84-77=7, Resulting Numbers: [22, 48, 7]
Generated Node #2: [22, 48, 7] from Operation: 84-77=7
Current State: 10:[22, 48, 7], Operations: ['84-77=7']
Exploring Operation: 22+48=70, Resulting Numbers: [7, 70]
Generated Node #3: [7, 70] from Operation: 22+48=70
Current State: 10:[7, 70], Operations: ['84-77=7', '22+48=70']
Exploring Operation: 70/7=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
72,
64,
75,
95
] | 28 | [
"72-64=8",
"95-75=20",
"8+20=28"
] | Current State: 28:[72, 64, 75, 95], Operations: []
Exploring Operation: 72-64=8, Resulting Numbers: [75, 95, 8]
Generated Node #2: [75, 95, 8] from Operation: 72-64=8
Current State: 28:[75, 95, 8], Operations: ['72-64=8']
Exploring Operation: 95-75=20, Resulting Numbers: [8, 20]
Generated Node #3: [8, 20] from Operation: 95-75=20
Current State: 28:[8, 20], Operations: ['72-64=8', '95-75=20']
Exploring Operation: 8+20=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
93,
50,
2,
64
] | 85 | [
"93-50=43",
"2*64=128",
"128-43=85"
] | Current State: 85:[93, 50, 2, 64], Operations: []
Exploring Operation: 93-50=43, Resulting Numbers: [2, 64, 43]
Generated Node #2: [2, 64, 43] from Operation: 93-50=43
Current State: 85:[2, 64, 43], Operations: ['93-50=43']
Exploring Operation: 2*64=128, Resulting Numbers: [43, 128]
Generated Node #3: [43, 128] from Operation: 2*64=128
Current State: 85:[43, 128], Operations: ['93-50=43', '2*64=128']
Exploring Operation: 128-43=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
24,
46,
14,
90
] | 54 | [
"46-24=22",
"90-14=76",
"76-22=54"
] | Current State: 54:[24, 46, 14, 90], Operations: []
Exploring Operation: 46-24=22, Resulting Numbers: [14, 90, 22]
Generated Node #2: [14, 90, 22] from Operation: 46-24=22
Current State: 54:[14, 90, 22], Operations: ['46-24=22']
Exploring Operation: 90-14=76, Resulting Numbers: [22, 76]
Generated Node #3: [22, 76] from Operation: 90-14=76
Current State: 54:[22, 76], Operations: ['46-24=22', '90-14=76']
Exploring Operation: 76-22=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
85,
39,
47,
26
] | 27 | [
"85-39=46",
"47+26=73",
"73-46=27"
] | Current State: 27:[85, 39, 47, 26], Operations: []
Exploring Operation: 85-39=46, Resulting Numbers: [47, 26, 46]
Generated Node #2: [47, 26, 46] from Operation: 85-39=46
Current State: 27:[47, 26, 46], Operations: ['85-39=46']
Exploring Operation: 47+26=73, Resulting Numbers: [46, 73]
Generated Node #3: [46, 73] from Operation: 47+26=73
Current State: 27:[46, 73], Operations: ['85-39=46', '47+26=73']
Exploring Operation: 73-46=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
59,
97,
36,
22
] | 98 | [
"59+97=156",
"36+22=58",
"156-58=98"
] | Current State: 98:[59, 97, 36, 22], Operations: []
Exploring Operation: 59+97=156, Resulting Numbers: [36, 22, 156]
Generated Node #2: [36, 22, 156] from Operation: 59+97=156
Current State: 98:[36, 22, 156], Operations: ['59+97=156']
Exploring Operation: 36+22=58, Resulting Numbers: [156, 58]
Generated Node #3: [156, 58] from Operation: 36+22=58
Current State: 98:[156, 58], Operations: ['59+97=156', '36+22=58']
Exploring Operation: 156-58=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
70,
6,
68,
8
] | 10 | [
"70-68=2",
"8*2=16",
"16-6=10"
] | Current State: 10:[70, 6, 68, 8], Operations: []
Exploring Operation: 70-68=2, Resulting Numbers: [6, 8, 2]
Generated Node #2: [6, 8, 2] from Operation: 70-68=2
Current State: 10:[6, 8, 2], Operations: ['70-68=2']
Exploring Operation: 8*2=16, Resulting Numbers: [6, 16]
Generated Node #3: [6, 16] from Operation: 8*2=16
Current State: 10:[6, 16], Operations: ['70-68=2', '8*2=16']
Exploring Operation: 16-6=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
91,
18,
98,
55
] | 66 | [
"91+18=109",
"98-55=43",
"109-43=66"
] | Current State: 66:[91, 18, 98, 55], Operations: []
Exploring Operation: 91+18=109, Resulting Numbers: [98, 55, 109]
Generated Node #2: [98, 55, 109] from Operation: 91+18=109
Current State: 66:[98, 55, 109], Operations: ['91+18=109']
Exploring Operation: 98-55=43, Resulting Numbers: [109, 43]
Generated Node #3: [109, 43] from Operation: 98-55=43
Current State: 66:[109, 43], Operations: ['91+18=109', '98-55=43']
Exploring Operation: 109-43=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
18,
10,
36,
40
] | 58 | [
"18+36=54",
"40/10=4",
"54+4=58"
] | Current State: 58:[18, 10, 36, 40], Operations: []
Exploring Operation: 18+36=54, Resulting Numbers: [10, 40, 54]
Generated Node #2: [10, 40, 54] from Operation: 18+36=54
Current State: 58:[10, 40, 54], Operations: ['18+36=54']
Exploring Operation: 40/10=4, Resulting Numbers: [54, 4]
Generated Node #3: [54, 4] from Operation: 40/10=4
Current State: 58:[54, 4], Operations: ['18+36=54', '40/10=4']
Exploring Operation: 54+4=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
15,
86,
5,
66
] | 85 | [
"86-66=20",
"5*20=100",
"100-15=85"
] | Current State: 85:[15, 86, 5, 66], Operations: []
Exploring Operation: 86-66=20, Resulting Numbers: [15, 5, 20]
Generated Node #2: [15, 5, 20] from Operation: 86-66=20
Current State: 85:[15, 5, 20], Operations: ['86-66=20']
Exploring Operation: 5*20=100, Resulting Numbers: [15, 100]
Generated Node #3: [15, 100] from Operation: 5*20=100
Current State: 85:[15, 100], Operations: ['86-66=20', '5*20=100']
Exploring Operation: 100-15=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
16,
70,
79,
30
] | 74 | [
"30-16=14",
"70/14=5",
"79-5=74"
] | Current State: 74:[16, 70, 79, 30], Operations: []
Exploring Operation: 30-16=14, Resulting Numbers: [70, 79, 14]
Generated Node #2: [70, 79, 14] from Operation: 30-16=14
Current State: 74:[70, 79, 14], Operations: ['30-16=14']
Exploring Operation: 70/14=5, Resulting Numbers: [79, 5]
Generated Node #3: [79, 5] from Operation: 70/14=5
Current State: 74:[79, 5], Operations: ['30-16=14', '70/14=5']
Exploring Operation: 79-5=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
17,
3,
8,
68
] | 75 | [
"68-17=51",
"3*8=24",
"51+24=75"
] | Current State: 75:[17, 3, 8, 68], Operations: []
Exploring Operation: 68-17=51, Resulting Numbers: [3, 8, 51]
Generated Node #2: [3, 8, 51] from Operation: 68-17=51
Current State: 75:[3, 8, 51], Operations: ['68-17=51']
Exploring Operation: 3*8=24, Resulting Numbers: [51, 24]
Generated Node #3: [51, 24] from Operation: 3*8=24
Current State: 75:[51, 24], Operations: ['68-17=51', '3*8=24']
Exploring Operation: 51+24=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
3,
57,
74,
34
] | 21 | [
"57/3=19",
"74-34=40",
"40-19=21"
] | Current State: 21:[3, 57, 74, 34], Operations: []
Exploring Operation: 57/3=19, Resulting Numbers: [74, 34, 19]
Generated Node #2: [74, 34, 19] from Operation: 57/3=19
Current State: 21:[74, 34, 19], Operations: ['57/3=19']
Exploring Operation: 74-34=40, Resulting Numbers: [19, 40]
Generated Node #3: [19, 40] from Operation: 74-34=40
Current State: 21:[19, 40], Operations: ['57/3=19', '74-34=40']
Exploring Operation: 40-19=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
54,
56,
95,
90
] | 10 | [
"56-54=2",
"95-90=5",
"2*5=10"
] | Current State: 10:[54, 56, 95, 90], Operations: []
Exploring Operation: 56-54=2, Resulting Numbers: [95, 90, 2]
Generated Node #2: [95, 90, 2] from Operation: 56-54=2
Current State: 10:[95, 90, 2], Operations: ['56-54=2']
Exploring Operation: 95-90=5, Resulting Numbers: [2, 5]
Generated Node #3: [2, 5] from Operation: 95-90=5
Current State: 10:[2, 5], Operations: ['56-54=2', '95-90=5']
Exploring Operation: 2*5=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
40,
74,
70,
65
] | 66 | [
"70-65=5",
"40/5=8",
"74-8=66"
] | Current State: 66:[40, 74, 70, 65], Operations: []
Exploring Operation: 70-65=5, Resulting Numbers: [40, 74, 5]
Generated Node #2: [40, 74, 5] from Operation: 70-65=5
Current State: 66:[40, 74, 5], Operations: ['70-65=5']
Exploring Operation: 40/5=8, Resulting Numbers: [74, 8]
Generated Node #3: [74, 8] from Operation: 40/5=8
Current State: 66:[74, 8], Operations: ['70-65=5', '40/5=8']
Exploring Operation: 74-8=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
29,
84,
15,
73
] | 86 | [
"73-15=58",
"58/29=2",
"84+2=86"
] | Current State: 86:[29, 84, 15, 73], Operations: []
Exploring Operation: 73-15=58, Resulting Numbers: [29, 84, 58]
Generated Node #2: [29, 84, 58] from Operation: 73-15=58
Current State: 86:[29, 84, 58], Operations: ['73-15=58']
Exploring Operation: 58/29=2, Resulting Numbers: [84, 2]
Generated Node #3: [84, 2] from Operation: 58/29=2
Current State: 86:[84, 2], Operations: ['73-15=58', '58/29=2']
Exploring Operation: 84+2=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
21,
2,
34,
32
] | 90 | [
"34-21=13",
"32+13=45",
"2*45=90"
] | Current State: 90:[21, 2, 34, 32], Operations: []
Exploring Operation: 34-21=13, Resulting Numbers: [2, 32, 13]
Generated Node #2: [2, 32, 13] from Operation: 34-21=13
Current State: 90:[2, 32, 13], Operations: ['34-21=13']
Exploring Operation: 32+13=45, Resulting Numbers: [2, 45]
Generated Node #3: [2, 45] from Operation: 32+13=45
Current State: 90:[2, 45], Operations: ['34-21=13', '32+13=45']
Exploring Operation: 2*45=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
36,
2,
71,
89
] | 35 | [
"89-36=53",
"2*53=106",
"106-71=35"
] | Current State: 35:[36, 2, 71, 89], Operations: []
Exploring Operation: 89-36=53, Resulting Numbers: [2, 71, 53]
Generated Node #2: [2, 71, 53] from Operation: 89-36=53
Current State: 35:[2, 71, 53], Operations: ['89-36=53']
Exploring Operation: 2*53=106, Resulting Numbers: [71, 106]
Generated Node #3: [71, 106] from Operation: 2*53=106
Current State: 35:[71, 106], Operations: ['89-36=53', '2*53=106']
Exploring Operation: 106-71=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
78,
44,
88,
60
] | 36 | [
"78-60=18",
"88/44=2",
"18*2=36"
] | Current State: 36:[78, 44, 88, 60], Operations: []
Exploring Operation: 78-60=18, Resulting Numbers: [44, 88, 18]
Generated Node #2: [44, 88, 18] from Operation: 78-60=18
Current State: 36:[44, 88, 18], Operations: ['78-60=18']
Exploring Operation: 88/44=2, Resulting Numbers: [18, 2]
Generated Node #3: [18, 2] from Operation: 88/44=2
Current State: 36:[18, 2], Operations: ['78-60=18', '88/44=2']
Exploring Operation: 18*2=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
84,
1,
85,
37
] | 35 | [
"84-1=83",
"85-37=48",
"83-48=35"
] | Current State: 35:[84, 1, 85, 37], Operations: []
Exploring Operation: 84-1=83, Resulting Numbers: [85, 37, 83]
Generated Node #2: [85, 37, 83] from Operation: 84-1=83
Current State: 35:[85, 37, 83], Operations: ['84-1=83']
Exploring Operation: 85-37=48, Resulting Numbers: [83, 48]
Generated Node #3: [83, 48] from Operation: 85-37=48
Current State: 35:[83, 48], Operations: ['84-1=83', '85-37=48']
Exploring Operation: 83-48=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
12,
40,
4,
87
] | 79 | [
"12*4=48",
"40+87=127",
"127-48=79"
] | Current State: 79:[12, 40, 4, 87], Operations: []
Exploring Operation: 12*4=48, Resulting Numbers: [40, 87, 48]
Generated Node #2: [40, 87, 48] from Operation: 12*4=48
Current State: 79:[40, 87, 48], Operations: ['12*4=48']
Exploring Operation: 40+87=127, Resulting Numbers: [48, 127]
Generated Node #3: [48, 127] from Operation: 40+87=127
Current State: 79:[48, 127], Operations: ['12*4=48', '40+87=127']
Exploring Operation: 127-48=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
77,
19,
4,
72
] | 28 | [
"77+19=96",
"72-4=68",
"96-68=28"
] | Current State: 28:[77, 19, 4, 72], Operations: []
Exploring Operation: 77+19=96, Resulting Numbers: [4, 72, 96]
Generated Node #2: [4, 72, 96] from Operation: 77+19=96
Current State: 28:[4, 72, 96], Operations: ['77+19=96']
Exploring Operation: 72-4=68, Resulting Numbers: [96, 68]
Generated Node #3: [96, 68] from Operation: 72-4=68
Current State: 28:[96, 68], Operations: ['77+19=96', '72-4=68']
Exploring Operation: 96-68=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
59,
6,
63,
34
] | 82 | [
"59-6=53",
"63-34=29",
"53+29=82"
] | Current State: 82:[59, 6, 63, 34], Operations: []
Exploring Operation: 59-6=53, Resulting Numbers: [63, 34, 53]
Generated Node #2: [63, 34, 53] from Operation: 59-6=53
Current State: 82:[63, 34, 53], Operations: ['59-6=53']
Exploring Operation: 63-34=29, Resulting Numbers: [53, 29]
Generated Node #3: [53, 29] from Operation: 63-34=29
Current State: 82:[53, 29], Operations: ['59-6=53', '63-34=29']
Exploring Operation: 53+29=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
26,
75,
32,
78
] | 61 | [
"75-26=49",
"32+78=110",
"110-49=61"
] | Current State: 61:[26, 75, 32, 78], Operations: []
Exploring Operation: 75-26=49, Resulting Numbers: [32, 78, 49]
Generated Node #2: [32, 78, 49] from Operation: 75-26=49
Current State: 61:[32, 78, 49], Operations: ['75-26=49']
Exploring Operation: 32+78=110, Resulting Numbers: [49, 110]
Generated Node #3: [49, 110] from Operation: 32+78=110
Current State: 61:[49, 110], Operations: ['75-26=49', '32+78=110']
Exploring Operation: 110-49=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
72,
20,
15,
19
] | 48 | [
"72-20=52",
"19-15=4",
"52-4=48"
] | Current State: 48:[72, 20, 15, 19], Operations: []
Exploring Operation: 72-20=52, Resulting Numbers: [15, 19, 52]
Generated Node #2: [15, 19, 52] from Operation: 72-20=52
Current State: 48:[15, 19, 52], Operations: ['72-20=52']
Exploring Operation: 19-15=4, Resulting Numbers: [52, 4]
Generated Node #3: [52, 4] from Operation: 19-15=4
Current State: 48:[52, 4], Operations: ['72-20=52', '19-15=4']
Exploring Operation: 52-4=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
3,
85,
24,
81
] | 86 | [
"81-24=57",
"3*57=171",
"171-85=86"
] | Current State: 86:[3, 85, 24, 81], Operations: []
Exploring Operation: 81-24=57, Resulting Numbers: [3, 85, 57]
Generated Node #2: [3, 85, 57] from Operation: 81-24=57
Current State: 86:[3, 85, 57], Operations: ['81-24=57']
Exploring Operation: 3*57=171, Resulting Numbers: [85, 171]
Generated Node #3: [85, 171] from Operation: 3*57=171
Current State: 86:[85, 171], Operations: ['81-24=57', '3*57=171']
Exploring Operation: 171-85=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
59,
14,
41,
57
] | 48 | [
"59-57=2",
"14/2=7",
"41+7=48"
] | Current State: 48:[59, 14, 41, 57], Operations: []
Exploring Operation: 59-57=2, Resulting Numbers: [14, 41, 2]
Generated Node #2: [14, 41, 2] from Operation: 59-57=2
Current State: 48:[14, 41, 2], Operations: ['59-57=2']
Exploring Operation: 14/2=7, Resulting Numbers: [41, 7]
Generated Node #3: [41, 7] from Operation: 14/2=7
Current State: 48:[41, 7], Operations: ['59-57=2', '14/2=7']
Exploring Operation: 41+7=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
12,
70,
46,
2
] | 23 | [
"12+46=58",
"70/2=35",
"58-35=23"
] | Current State: 23:[12, 70, 46, 2], Operations: []
Exploring Operation: 12+46=58, Resulting Numbers: [70, 2, 58]
Generated Node #2: [70, 2, 58] from Operation: 12+46=58
Current State: 23:[70, 2, 58], Operations: ['12+46=58']
Exploring Operation: 70/2=35, Resulting Numbers: [58, 35]
Generated Node #3: [58, 35] from Operation: 70/2=35
Current State: 23:[58, 35], Operations: ['12+46=58', '70/2=35']
Exploring Operation: 58-35=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
57,
45,
57,
86
] | 17 | [
"57-45=12",
"86-57=29",
"29-12=17"
] | Current State: 17:[57, 45, 57, 86], Operations: []
Exploring Operation: 57-45=12, Resulting Numbers: [86, 12]
Generated Node #2: [86, 12] from Operation: 57-45=12
Current State: 17:[86, 12], Operations: ['57-45=12']
Exploring Operation: 86-57=29, Resulting Numbers: [12, 29]
Generated Node #3: [12, 29] from Operation: 86-57=29
Current State: 17:[12, 29], Operations: ['57-45=12', '86-57=29']
Exploring Operation: 29-12=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
59,
91,
18,
65
] | 67 | [
"59+91=150",
"18+65=83",
"150-83=67"
] | Current State: 67:[59, 91, 18, 65], Operations: []
Exploring Operation: 59+91=150, Resulting Numbers: [18, 65, 150]
Generated Node #2: [18, 65, 150] from Operation: 59+91=150
Current State: 67:[18, 65, 150], Operations: ['59+91=150']
Exploring Operation: 18+65=83, Resulting Numbers: [150, 83]
Generated Node #3: [150, 83] from Operation: 18+65=83
Current State: 67:[150, 83], Operations: ['59+91=150', '18+65=83']
Exploring Operation: 150-83=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
1,
85,
65,
82
] | 63 | [
"85-1=84",
"65+82=147",
"147-84=63"
] | Current State: 63:[1, 85, 65, 82], Operations: []
Exploring Operation: 85-1=84, Resulting Numbers: [65, 82, 84]
Generated Node #2: [65, 82, 84] from Operation: 85-1=84
Current State: 63:[65, 82, 84], Operations: ['85-1=84']
Exploring Operation: 65+82=147, Resulting Numbers: [84, 147]
Generated Node #3: [84, 147] from Operation: 65+82=147
Current State: 63:[84, 147], Operations: ['85-1=84', '65+82=147']
Exploring Operation: 147-84=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
10,
60,
78,
34
] | 26 | [
"10+60=70",
"78-34=44",
"70-44=26"
] | Current State: 26:[10, 60, 78, 34], Operations: []
Exploring Operation: 10+60=70, Resulting Numbers: [78, 34, 70]
Generated Node #2: [78, 34, 70] from Operation: 10+60=70
Current State: 26:[78, 34, 70], Operations: ['10+60=70']
Exploring Operation: 78-34=44, Resulting Numbers: [70, 44]
Generated Node #3: [70, 44] from Operation: 78-34=44
Current State: 26:[70, 44], Operations: ['10+60=70', '78-34=44']
Exploring Operation: 70-44=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
72,
18,
11,
75
] | 43 | [
"75-72=3",
"18*3=54",
"54-11=43"
] | Current State: 43:[72, 18, 11, 75], Operations: []
Exploring Operation: 75-72=3, Resulting Numbers: [18, 11, 3]
Generated Node #2: [18, 11, 3] from Operation: 75-72=3
Current State: 43:[18, 11, 3], Operations: ['75-72=3']
Exploring Operation: 18*3=54, Resulting Numbers: [11, 54]
Generated Node #3: [11, 54] from Operation: 18*3=54
Current State: 43:[11, 54], Operations: ['75-72=3', '18*3=54']
Exploring Operation: 54-11=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
55,
92,
11,
88
] | 90 | [
"55-11=44",
"88/44=2",
"92-2=90"
] | Current State: 90:[55, 92, 11, 88], Operations: []
Exploring Operation: 55-11=44, Resulting Numbers: [92, 88, 44]
Generated Node #2: [92, 88, 44] from Operation: 55-11=44
Current State: 90:[92, 88, 44], Operations: ['55-11=44']
Exploring Operation: 88/44=2, Resulting Numbers: [92, 2]
Generated Node #3: [92, 2] from Operation: 88/44=2
Current State: 90:[92, 2], Operations: ['55-11=44', '88/44=2']
Exploring Operation: 92-2=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
86,
49,
50,
22
] | 65 | [
"86-49=37",
"50-22=28",
"37+28=65"
] | Current State: 65:[86, 49, 50, 22], Operations: []
Exploring Operation: 86-49=37, Resulting Numbers: [50, 22, 37]
Generated Node #2: [50, 22, 37] from Operation: 86-49=37
Current State: 65:[50, 22, 37], Operations: ['86-49=37']
Exploring Operation: 50-22=28, Resulting Numbers: [37, 28]
Generated Node #3: [37, 28] from Operation: 50-22=28
Current State: 65:[37, 28], Operations: ['86-49=37', '50-22=28']
Exploring Operation: 37+28=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
84,
95,
63,
25
] | 77 | [
"95-84=11",
"63+25=88",
"88-11=77"
] | Current State: 77:[84, 95, 63, 25], Operations: []
Exploring Operation: 95-84=11, Resulting Numbers: [63, 25, 11]
Generated Node #2: [63, 25, 11] from Operation: 95-84=11
Current State: 77:[63, 25, 11], Operations: ['95-84=11']
Exploring Operation: 63+25=88, Resulting Numbers: [11, 88]
Generated Node #3: [11, 88] from Operation: 63+25=88
Current State: 77:[11, 88], Operations: ['95-84=11', '63+25=88']
Exploring Operation: 88-11=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
36,
27,
8,
19
] | 100 | [
"27-19=8",
"8*8=64",
"36+64=100"
] | Current State: 100:[36, 27, 8, 19], Operations: []
Exploring Operation: 27-19=8, Resulting Numbers: [36, 8, 8]
Generated Node #2: [36, 8, 8] from Operation: 27-19=8
Current State: 100:[36, 8, 8], Operations: ['27-19=8']
Exploring Operation: 8*8=64, Resulting Numbers: [36, 64]
Generated Node #3: [36, 64] from Operation: 8*8=64
Current State: 100:[36, 64], Operations: ['27-19=8', '8*8=64']
Exploring Operation: 36+64=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
20,
4,
6,
46
] | 64 | [
"20+4=24",
"46-6=40",
"24+40=64"
] | Current State: 64:[20, 4, 6, 46], Operations: []
Exploring Operation: 20+4=24, Resulting Numbers: [6, 46, 24]
Generated Node #2: [6, 46, 24] from Operation: 20+4=24
Current State: 64:[6, 46, 24], Operations: ['20+4=24']
Exploring Operation: 46-6=40, Resulting Numbers: [24, 40]
Generated Node #3: [24, 40] from Operation: 46-6=40
Current State: 64:[24, 40], Operations: ['20+4=24', '46-6=40']
Exploring Operation: 24+40=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
65,
55,
42,
68
] | 47 | [
"68-55=13",
"65/13=5",
"42+5=47"
] | Current State: 47:[65, 55, 42, 68], Operations: []
Exploring Operation: 68-55=13, Resulting Numbers: [65, 42, 13]
Generated Node #2: [65, 42, 13] from Operation: 68-55=13
Current State: 47:[65, 42, 13], Operations: ['68-55=13']
Exploring Operation: 65/13=5, Resulting Numbers: [42, 5]
Generated Node #3: [42, 5] from Operation: 65/13=5
Current State: 47:[42, 5], Operations: ['68-55=13', '65/13=5']
Exploring Operation: 42+5=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
68,
41,
9,
29
] | 51 | [
"68*9=612",
"41-29=12",
"612/12=51"
] | Current State: 51:[68, 41, 9, 29], Operations: []
Exploring Operation: 68*9=612, Resulting Numbers: [41, 29, 612]
Generated Node #2: [41, 29, 612] from Operation: 68*9=612
Current State: 51:[41, 29, 612], Operations: ['68*9=612']
Exploring Operation: 41-29=12, Resulting Numbers: [612, 12]
Generated Node #3: [612, 12] from Operation: 41-29=12
Current State: 51:[612, 12], Operations: ['68*9=612', '41-29=12']
Exploring Operation: 612/12=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
11,
34,
86,
54
] | 94 | [
"34+54=88",
"88/11=8",
"86+8=94"
] | Current State: 94:[11, 34, 86, 54], Operations: []
Exploring Operation: 34+54=88, Resulting Numbers: [11, 86, 88]
Generated Node #2: [11, 86, 88] from Operation: 34+54=88
Current State: 94:[11, 86, 88], Operations: ['34+54=88']
Exploring Operation: 88/11=8, Resulting Numbers: [86, 8]
Generated Node #3: [86, 8] from Operation: 88/11=8
Current State: 94:[86, 8], Operations: ['34+54=88', '88/11=8']
Exploring Operation: 86+8=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
57,
9,
37,
59
] | 70 | [
"57-9=48",
"59-37=22",
"48+22=70"
] | Current State: 70:[57, 9, 37, 59], Operations: []
Exploring Operation: 57-9=48, Resulting Numbers: [37, 59, 48]
Generated Node #2: [37, 59, 48] from Operation: 57-9=48
Current State: 70:[37, 59, 48], Operations: ['57-9=48']
Exploring Operation: 59-37=22, Resulting Numbers: [48, 22]
Generated Node #3: [48, 22] from Operation: 59-37=22
Current State: 70:[48, 22], Operations: ['57-9=48', '59-37=22']
Exploring Operation: 48+22=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
24,
37,
30,
27
] | 29 | [
"30-27=3",
"24/3=8",
"37-8=29"
] | Current State: 29:[24, 37, 30, 27], Operations: []
Exploring Operation: 30-27=3, Resulting Numbers: [24, 37, 3]
Generated Node #2: [24, 37, 3] from Operation: 30-27=3
Current State: 29:[24, 37, 3], Operations: ['30-27=3']
Exploring Operation: 24/3=8, Resulting Numbers: [37, 8]
Generated Node #3: [37, 8] from Operation: 24/3=8
Current State: 29:[37, 8], Operations: ['30-27=3', '24/3=8']
Exploring Operation: 37-8=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
13,
45,
56,
99
] | 75 | [
"45-13=32",
"99-56=43",
"32+43=75"
] | Current State: 75:[13, 45, 56, 99], Operations: []
Exploring Operation: 45-13=32, Resulting Numbers: [56, 99, 32]
Generated Node #2: [56, 99, 32] from Operation: 45-13=32
Current State: 75:[56, 99, 32], Operations: ['45-13=32']
Exploring Operation: 99-56=43, Resulting Numbers: [32, 43]
Generated Node #3: [32, 43] from Operation: 99-56=43
Current State: 75:[32, 43], Operations: ['45-13=32', '99-56=43']
Exploring Operation: 32+43=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
89,
23,
48,
18
] | 96 | [
"89-23=66",
"48-18=30",
"66+30=96"
] | Current State: 96:[89, 23, 48, 18], Operations: []
Exploring Operation: 89-23=66, Resulting Numbers: [48, 18, 66]
Generated Node #2: [48, 18, 66] from Operation: 89-23=66
Current State: 96:[48, 18, 66], Operations: ['89-23=66']
Exploring Operation: 48-18=30, Resulting Numbers: [66, 30]
Generated Node #3: [66, 30] from Operation: 48-18=30
Current State: 96:[66, 30], Operations: ['89-23=66', '48-18=30']
Exploring Operation: 66+30=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
86,
55,
86,
69
] | 15 | [
"86/86=1",
"69-55=14",
"1+14=15"
] | Current State: 15:[86, 55, 86, 69], Operations: []
Exploring Operation: 86/86=1, Resulting Numbers: [55, 69, 1]
Generated Node #2: [55, 69, 1] from Operation: 86/86=1
Current State: 15:[55, 69, 1], Operations: ['86/86=1']
Exploring Operation: 69-55=14, Resulting Numbers: [1, 14]
Generated Node #3: [1, 14] from Operation: 69-55=14
Current State: 15:[1, 14], Operations: ['86/86=1', '69-55=14']
Exploring Operation: 1+14=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
30,
88,
32,
8
] | 51 | [
"30+32=62",
"88/8=11",
"62-11=51"
] | Current State: 51:[30, 88, 32, 8], Operations: []
Exploring Operation: 30+32=62, Resulting Numbers: [88, 8, 62]
Generated Node #2: [88, 8, 62] from Operation: 30+32=62
Current State: 51:[88, 8, 62], Operations: ['30+32=62']
Exploring Operation: 88/8=11, Resulting Numbers: [62, 11]
Generated Node #3: [62, 11] from Operation: 88/8=11
Current State: 51:[62, 11], Operations: ['30+32=62', '88/8=11']
Exploring Operation: 62-11=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
57,
28,
12,
59
] | 100 | [
"57-28=29",
"12+59=71",
"29+71=100"
] | Current State: 100:[57, 28, 12, 59], Operations: []
Exploring Operation: 57-28=29, Resulting Numbers: [12, 59, 29]
Generated Node #2: [12, 59, 29] from Operation: 57-28=29
Current State: 100:[12, 59, 29], Operations: ['57-28=29']
Exploring Operation: 12+59=71, Resulting Numbers: [29, 71]
Generated Node #3: [29, 71] from Operation: 12+59=71
Current State: 100:[29, 71], Operations: ['57-28=29', '12+59=71']
Exploring Operation: 29+71=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
19,
46,
3,
57
] | 40 | [
"57/19=3",
"46-3=43",
"43-3=40"
] | Current State: 40:[19, 46, 3, 57], Operations: []
Exploring Operation: 57/19=3, Resulting Numbers: [46, 3, 3]
Generated Node #2: [46, 3, 3] from Operation: 57/19=3
Current State: 40:[46, 3, 3], Operations: ['57/19=3']
Exploring Operation: 46-3=43, Resulting Numbers: [43]
43,40 equal: Goal Reached
Exploring Operation: 43-3=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
32,
34,
59,
38
] | 69 | [
"38-34=4",
"32*4=128",
"128-59=69"
] | Current State: 69:[32, 34, 59, 38], Operations: []
Exploring Operation: 38-34=4, Resulting Numbers: [32, 59, 4]
Generated Node #2: [32, 59, 4] from Operation: 38-34=4
Current State: 69:[32, 59, 4], Operations: ['38-34=4']
Exploring Operation: 32*4=128, Resulting Numbers: [59, 128]
Generated Node #3: [59, 128] from Operation: 32*4=128
Current State: 69:[59, 128], Operations: ['38-34=4', '32*4=128']
Exploring Operation: 128-59=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
53,
4,
26,
7
] | 82 | [
"53-4=49",
"26+7=33",
"49+33=82"
] | Current State: 82:[53, 4, 26, 7], Operations: []
Exploring Operation: 53-4=49, Resulting Numbers: [26, 7, 49]
Generated Node #2: [26, 7, 49] from Operation: 53-4=49
Current State: 82:[26, 7, 49], Operations: ['53-4=49']
Exploring Operation: 26+7=33, Resulting Numbers: [49, 33]
Generated Node #3: [49, 33] from Operation: 26+7=33
Current State: 82:[49, 33], Operations: ['53-4=49', '26+7=33']
Exploring Operation: 49+33=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
5,
2,
1,
33
] | 61 | [
"5*1=5",
"2*33=66",
"66-5=61"
] | Current State: 61:[5, 2, 1, 33], Operations: []
Exploring Operation: 5*1=5, Resulting Numbers: [2, 33, 5]
Generated Node #2: [2, 33, 5] from Operation: 5*1=5
Current State: 61:[2, 33, 5], Operations: ['5*1=5']
Exploring Operation: 2*33=66, Resulting Numbers: [5, 66]
Generated Node #3: [5, 66] from Operation: 2*33=66
Current State: 61:[5, 66], Operations: ['5*1=5', '2*33=66']
Exploring Operation: 66-5=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
83,
41,
63,
26
] | 79 | [
"83-41=42",
"63-26=37",
"42+37=79"
] | Current State: 79:[83, 41, 63, 26], Operations: []
Exploring Operation: 83-41=42, Resulting Numbers: [63, 26, 42]
Generated Node #2: [63, 26, 42] from Operation: 83-41=42
Current State: 79:[63, 26, 42], Operations: ['83-41=42']
Exploring Operation: 63-26=37, Resulting Numbers: [42, 37]
Generated Node #3: [42, 37] from Operation: 63-26=37
Current State: 79:[42, 37], Operations: ['83-41=42', '63-26=37']
Exploring Operation: 42+37=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
15,
65,
30,
19
] | 61 | [
"65-15=50",
"30-19=11",
"50+11=61"
] | Current State: 61:[15, 65, 30, 19], Operations: []
Exploring Operation: 65-15=50, Resulting Numbers: [30, 19, 50]
Generated Node #2: [30, 19, 50] from Operation: 65-15=50
Current State: 61:[30, 19, 50], Operations: ['65-15=50']
Exploring Operation: 30-19=11, Resulting Numbers: [50, 11]
Generated Node #3: [50, 11] from Operation: 30-19=11
Current State: 61:[50, 11], Operations: ['65-15=50', '30-19=11']
Exploring Operation: 50+11=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
97,
29,
35,
63
] | 70 | [
"97+29=126",
"35*126=4410",
"4410/63=70"
] | Current State: 70:[97, 29, 35, 63], Operations: []
Exploring Operation: 97+29=126, Resulting Numbers: [35, 63, 126]
Generated Node #2: [35, 63, 126] from Operation: 97+29=126
Current State: 70:[35, 63, 126], Operations: ['97+29=126']
Exploring Operation: 35*126=4410, Resulting Numbers: [63, 4410]
Generated Node #3: [63, 4410] from Operation: 35*126=4410
Current State: 70:[63, 4410], Operations: ['97+29=126', '35*126=4410']
Exploring Operation: 4410/63=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
63,
87,
50,
66
] | 40 | [
"87-63=24",
"66-50=16",
"24+16=40"
] | Current State: 40:[63, 87, 50, 66], Operations: []
Exploring Operation: 87-63=24, Resulting Numbers: [50, 66, 24]
Generated Node #2: [50, 66, 24] from Operation: 87-63=24
Current State: 40:[50, 66, 24], Operations: ['87-63=24']
Exploring Operation: 66-50=16, Resulting Numbers: [24, 16]
Generated Node #3: [24, 16] from Operation: 66-50=16
Current State: 40:[24, 16], Operations: ['87-63=24', '66-50=16']
Exploring Operation: 24+16=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
5,
12,
36,
53
] | 72 | [
"5+12=17",
"36+53=89",
"89-17=72"
] | Current State: 72:[5, 12, 36, 53], Operations: []
Exploring Operation: 5+12=17, Resulting Numbers: [36, 53, 17]
Generated Node #2: [36, 53, 17] from Operation: 5+12=17
Current State: 72:[36, 53, 17], Operations: ['5+12=17']
Exploring Operation: 36+53=89, Resulting Numbers: [17, 89]
Generated Node #3: [17, 89] from Operation: 36+53=89
Current State: 72:[17, 89], Operations: ['5+12=17', '36+53=89']
Exploring Operation: 89-17=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
17,
81,
29,
40
] | 53 | [
"81-17=64",
"40-29=11",
"64-11=53"
] | Current State: 53:[17, 81, 29, 40], Operations: []
Exploring Operation: 81-17=64, Resulting Numbers: [29, 40, 64]
Generated Node #2: [29, 40, 64] from Operation: 81-17=64
Current State: 53:[29, 40, 64], Operations: ['81-17=64']
Exploring Operation: 40-29=11, Resulting Numbers: [64, 11]
Generated Node #3: [64, 11] from Operation: 40-29=11
Current State: 53:[64, 11], Operations: ['81-17=64', '40-29=11']
Exploring Operation: 64-11=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
86,
41,
52,
84
] | 63 | [
"86-84=2",
"52*2=104",
"104-41=63"
] | Current State: 63:[86, 41, 52, 84], Operations: []
Exploring Operation: 86-84=2, Resulting Numbers: [41, 52, 2]
Generated Node #2: [41, 52, 2] from Operation: 86-84=2
Current State: 63:[41, 52, 2], Operations: ['86-84=2']
Exploring Operation: 52*2=104, Resulting Numbers: [41, 104]
Generated Node #3: [41, 104] from Operation: 52*2=104
Current State: 63:[41, 104], Operations: ['86-84=2', '52*2=104']
Exploring Operation: 104-41=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
50,
6,
65,
31
] | 49 | [
"50-31=19",
"6*19=114",
"114-65=49"
] | Current State: 49:[50, 6, 65, 31], Operations: []
Exploring Operation: 50-31=19, Resulting Numbers: [6, 65, 19]
Generated Node #2: [6, 65, 19] from Operation: 50-31=19
Current State: 49:[6, 65, 19], Operations: ['50-31=19']
Exploring Operation: 6*19=114, Resulting Numbers: [65, 114]
Generated Node #3: [65, 114] from Operation: 6*19=114
Current State: 49:[65, 114], Operations: ['50-31=19', '6*19=114']
Exploring Operation: 114-65=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
49,
21,
47,
53
] | 76 | [
"49+21=70",
"53-47=6",
"70+6=76"
] | Current State: 76:[49, 21, 47, 53], Operations: []
Exploring Operation: 49+21=70, Resulting Numbers: [47, 53, 70]
Generated Node #2: [47, 53, 70] from Operation: 49+21=70
Current State: 76:[47, 53, 70], Operations: ['49+21=70']
Exploring Operation: 53-47=6, Resulting Numbers: [70, 6]
Generated Node #3: [70, 6] from Operation: 53-47=6
Current State: 76:[70, 6], Operations: ['49+21=70', '53-47=6']
Exploring Operation: 70+6=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
54,
8,
2,
76
] | 26 | [
"76-54=22",
"8/2=4",
"22+4=26"
] | Current State: 26:[54, 8, 2, 76], Operations: []
Exploring Operation: 76-54=22, Resulting Numbers: [8, 2, 22]
Generated Node #2: [8, 2, 22] from Operation: 76-54=22
Current State: 26:[8, 2, 22], Operations: ['76-54=22']
Exploring Operation: 8/2=4, Resulting Numbers: [22, 4]
Generated Node #3: [22, 4] from Operation: 8/2=4
Current State: 26:[22, 4], Operations: ['76-54=22', '8/2=4']
Exploring Operation: 22+4=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
33,
22,
3,
37
] | 26 | [
"33/3=11",
"37-22=15",
"11+15=26"
] | Current State: 26:[33, 22, 3, 37], Operations: []
Exploring Operation: 33/3=11, Resulting Numbers: [22, 37, 11]
Generated Node #2: [22, 37, 11] from Operation: 33/3=11
Current State: 26:[22, 37, 11], Operations: ['33/3=11']
Exploring Operation: 37-22=15, Resulting Numbers: [11, 15]
Generated Node #3: [11, 15] from Operation: 37-22=15
Current State: 26:[11, 15], Operations: ['33/3=11', '37-22=15']
Exploring Operation: 11+15=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
1,
3,
44,
81
] | 35 | [
"3-1=2",
"81-44=37",
"37-2=35"
] | Current State: 35:[1, 3, 44, 81], Operations: []
Exploring Operation: 3-1=2, Resulting Numbers: [44, 81, 2]
Generated Node #2: [44, 81, 2] from Operation: 3-1=2
Current State: 35:[44, 81, 2], Operations: ['3-1=2']
Exploring Operation: 81-44=37, Resulting Numbers: [2, 37]
Generated Node #3: [2, 37] from Operation: 81-44=37
Current State: 35:[2, 37], Operations: ['3-1=2', '81-44=37']
Exploring Operation: 37-2=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
29,
58,
25,
33
] | 95 | [
"29+58=87",
"33-25=8",
"87+8=95"
] | Current State: 95:[29, 58, 25, 33], Operations: []
Exploring Operation: 29+58=87, Resulting Numbers: [25, 33, 87]
Generated Node #2: [25, 33, 87] from Operation: 29+58=87
Current State: 95:[25, 33, 87], Operations: ['29+58=87']
Exploring Operation: 33-25=8, Resulting Numbers: [87, 8]
Generated Node #3: [87, 8] from Operation: 33-25=8
Current State: 95:[87, 8], Operations: ['29+58=87', '33-25=8']
Exploring Operation: 87+8=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
28,
14,
23,
28
] | 18 | [
"28/14=2",
"23*2=46",
"46-28=18"
] | Current State: 18:[28, 14, 23, 28], Operations: []
Exploring Operation: 28/14=2, Resulting Numbers: [23, 2]
Generated Node #2: [23, 2] from Operation: 28/14=2
Current State: 18:[23, 2], Operations: ['28/14=2']
Exploring Operation: 23*2=46, Resulting Numbers: [46]
46,18 equal: Goal Reached
Exploring Operation: 46-28=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
10,
3,
56,
75
] | 71 | [
"56-10=46",
"75/3=25",
"46+25=71"
] | Current State: 71:[10, 3, 56, 75], Operations: []
Exploring Operation: 56-10=46, Resulting Numbers: [3, 75, 46]
Generated Node #2: [3, 75, 46] from Operation: 56-10=46
Current State: 71:[3, 75, 46], Operations: ['56-10=46']
Exploring Operation: 75/3=25, Resulting Numbers: [46, 25]
Generated Node #3: [46, 25] from Operation: 75/3=25
Current State: 71:[46, 25], Operations: ['56-10=46', '75/3=25']
Exploring Operation: 46+25=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
12,
77,
45,
97
] | 27 | [
"12*45=540",
"97-77=20",
"540/20=27"
] | Current State: 27:[12, 77, 45, 97], Operations: []
Exploring Operation: 12*45=540, Resulting Numbers: [77, 97, 540]
Generated Node #2: [77, 97, 540] from Operation: 12*45=540
Current State: 27:[77, 97, 540], Operations: ['12*45=540']
Exploring Operation: 97-77=20, Resulting Numbers: [540, 20]
Generated Node #3: [540, 20] from Operation: 97-77=20
Current State: 27:[540, 20], Operations: ['12*45=540', '97-77=20']
Exploring Operation: 540/20=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
56,
51,
45,
13
] | 37 | [
"56-51=5",
"45-13=32",
"5+32=37"
] | Current State: 37:[56, 51, 45, 13], Operations: []
Exploring Operation: 56-51=5, Resulting Numbers: [45, 13, 5]
Generated Node #2: [45, 13, 5] from Operation: 56-51=5
Current State: 37:[45, 13, 5], Operations: ['56-51=5']
Exploring Operation: 45-13=32, Resulting Numbers: [5, 32]
Generated Node #3: [5, 32] from Operation: 45-13=32
Current State: 37:[5, 32], Operations: ['56-51=5', '45-13=32']
Exploring Operation: 5+32=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
42,
56,
58,
8
] | 68 | [
"42-8=34",
"58-56=2",
"34*2=68"
] | Current State: 68:[42, 56, 58, 8], Operations: []
Exploring Operation: 42-8=34, Resulting Numbers: [56, 58, 34]
Generated Node #2: [56, 58, 34] from Operation: 42-8=34
Current State: 68:[56, 58, 34], Operations: ['42-8=34']
Exploring Operation: 58-56=2, Resulting Numbers: [34, 2]
Generated Node #3: [34, 2] from Operation: 58-56=2
Current State: 68:[34, 2], Operations: ['42-8=34', '58-56=2']
Exploring Operation: 34*2=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
33,
39,
1,
10
] | 37 | [
"39+1=40",
"40/10=4",
"33+4=37"
] | Current State: 37:[33, 39, 1, 10], Operations: []
Exploring Operation: 39+1=40, Resulting Numbers: [33, 10, 40]
Generated Node #2: [33, 10, 40] from Operation: 39+1=40
Current State: 37:[33, 10, 40], Operations: ['39+1=40']
Exploring Operation: 40/10=4, Resulting Numbers: [33, 4]
Generated Node #3: [33, 4] from Operation: 40/10=4
Current State: 37:[33, 4], Operations: ['39+1=40', '40/10=4']
Exploring Operation: 33+4=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
70,
48,
5,
72
] | 91 | [
"72-70=2",
"48*2=96",
"96-5=91"
] | Current State: 91:[70, 48, 5, 72], Operations: []
Exploring Operation: 72-70=2, Resulting Numbers: [48, 5, 2]
Generated Node #2: [48, 5, 2] from Operation: 72-70=2
Current State: 91:[48, 5, 2], Operations: ['72-70=2']
Exploring Operation: 48*2=96, Resulting Numbers: [5, 96]
Generated Node #3: [5, 96] from Operation: 48*2=96
Current State: 91:[5, 96], Operations: ['72-70=2', '48*2=96']
Exploring Operation: 96-5=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
28,
88,
90,
70
] | 40 | [
"88-28=60",
"90-70=20",
"60-20=40"
] | Current State: 40:[28, 88, 90, 70], Operations: []
Exploring Operation: 88-28=60, Resulting Numbers: [90, 70, 60]
Generated Node #2: [90, 70, 60] from Operation: 88-28=60
Current State: 40:[90, 70, 60], Operations: ['88-28=60']
Exploring Operation: 90-70=20, Resulting Numbers: [60, 20]
Generated Node #3: [60, 20] from Operation: 90-70=20
Current State: 40:[60, 20], Operations: ['88-28=60', '90-70=20']
Exploring Operation: 60-20=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
94,
49,
78,
28
] | 94 | [
"78-49=29",
"29-28=1",
"94*1=94"
] | Current State: 94:[94, 49, 78, 28], Operations: []
Exploring Operation: 78-49=29, Resulting Numbers: [94, 28, 29]
Generated Node #2: [94, 28, 29] from Operation: 78-49=29
Current State: 94:[94, 28, 29], Operations: ['78-49=29']
Exploring Operation: 29-28=1, Resulting Numbers: [94, 1]
Generated Node #3: [94, 1] from Operation: 29-28=1
Current State: 94:[94, 1], Operations: ['78-49=29', '29-28=1']
Exploring Operation: 94*1=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
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