nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
81,
62,
49,
79
] | 75 | [
"81-79=2",
"62*2=124",
"124-49=75"
] | Current State: 75:[81, 62, 49, 79], Operations: []
Exploring Operation: 81-79=2, Resulting Numbers: [62, 49, 2]
Generated Node #2: [62, 49, 2] from Operation: 81-79=2
Current State: 75:[62, 49, 2], Operations: ['81-79=2']
Exploring Operation: 62*2=124, Resulting Numbers: [49, 124]
Generated Node #3: [49, 124] from Operation: 62*2=124
Current State: 75:[49, 124], Operations: ['81-79=2', '62*2=124']
Exploring Operation: 124-49=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
7,
17,
80,
11
] | 19 | [
"17-7=10",
"80/10=8",
"11+8=19"
] | Current State: 19:[7, 17, 80, 11], Operations: []
Exploring Operation: 17-7=10, Resulting Numbers: [80, 11, 10]
Generated Node #2: [80, 11, 10] from Operation: 17-7=10
Current State: 19:[80, 11, 10], Operations: ['17-7=10']
Exploring Operation: 80/10=8, Resulting Numbers: [11, 8]
Generated Node #3: [11, 8] from Operation: 80/10=8
Current State: 19:[11, 8], Operations: ['17-7=10', '80/10=8']
Exploring Operation: 11+8=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
33,
41,
39,
16
] | 50 | [
"41-39=2",
"33*2=66",
"66-16=50"
] | Current State: 50:[33, 41, 39, 16], Operations: []
Exploring Operation: 41-39=2, Resulting Numbers: [33, 16, 2]
Generated Node #2: [33, 16, 2] from Operation: 41-39=2
Current State: 50:[33, 16, 2], Operations: ['41-39=2']
Exploring Operation: 33*2=66, Resulting Numbers: [16, 66]
Generated Node #3: [16, 66] from Operation: 33*2=66
Current State: 50:[16, 66], Operations: ['41-39=2', '33*2=66']
Exploring Operation: 66-16=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
5,
85,
75,
6
] | 94 | [
"75/5=15",
"85-6=79",
"15+79=94"
] | Current State: 94:[5, 85, 75, 6], Operations: []
Exploring Operation: 75/5=15, Resulting Numbers: [85, 6, 15]
Generated Node #2: [85, 6, 15] from Operation: 75/5=15
Current State: 94:[85, 6, 15], Operations: ['75/5=15']
Exploring Operation: 85-6=79, Resulting Numbers: [15, 79]
Generated Node #3: [15, 79] from Operation: 85-6=79
Current State: 94:[15, 79], Operations: ['75/5=15', '85-6=79']
Exploring Operation: 15+79=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
14,
67,
12,
83
] | 58 | [
"14*67=938",
"12*83=996",
"996-938=58"
] | Current State: 58:[14, 67, 12, 83], Operations: []
Exploring Operation: 14*67=938, Resulting Numbers: [12, 83, 938]
Generated Node #2: [12, 83, 938] from Operation: 14*67=938
Current State: 58:[12, 83, 938], Operations: ['14*67=938']
Exploring Operation: 12*83=996, Resulting Numbers: [938, 996]
Generated Node #3: [938, 996] from Operation: 12*83=996
Current State: 58:[938, 996], Operations: ['14*67=938', '12*83=996']
Exploring Operation: 996-938=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
37,
55,
65,
70
] | 45 | [
"37*65=2405",
"70+2405=2475",
"2475/55=45"
] | Current State: 45:[37, 55, 65, 70], Operations: []
Exploring Operation: 37*65=2405, Resulting Numbers: [55, 70, 2405]
Generated Node #2: [55, 70, 2405] from Operation: 37*65=2405
Current State: 45:[55, 70, 2405], Operations: ['37*65=2405']
Exploring Operation: 70+2405=2475, Resulting Numbers: [55, 2475]
Generated Node #3: [55, 2475] from Operation: 70+2405=2475
Current State: 45:[55, 2475], Operations: ['37*65=2405', '70+2405=2475']
Exploring Operation: 2475/55=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
62,
75,
35,
3
] | 16 | [
"75-62=13",
"35+13=48",
"48/3=16"
] | Current State: 16:[62, 75, 35, 3], Operations: []
Exploring Operation: 75-62=13, Resulting Numbers: [35, 3, 13]
Generated Node #2: [35, 3, 13] from Operation: 75-62=13
Current State: 16:[35, 3, 13], Operations: ['75-62=13']
Exploring Operation: 35+13=48, Resulting Numbers: [3, 48]
Generated Node #3: [3, 48] from Operation: 35+13=48
Current State: 16:[3, 48], Operations: ['75-62=13', '35+13=48']
Exploring Operation: 48/3=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
97,
34,
14,
15
] | 42 | [
"97+15=112",
"112/14=8",
"34+8=42"
] | Current State: 42:[97, 34, 14, 15], Operations: []
Exploring Operation: 97+15=112, Resulting Numbers: [34, 14, 112]
Generated Node #2: [34, 14, 112] from Operation: 97+15=112
Current State: 42:[34, 14, 112], Operations: ['97+15=112']
Exploring Operation: 112/14=8, Resulting Numbers: [34, 8]
Generated Node #3: [34, 8] from Operation: 112/14=8
Current State: 42:[34, 8], Operations: ['97+15=112', '112/14=8']
Exploring Operation: 34+8=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
17,
65,
29,
60
] | 60 | [
"29-17=12",
"65-60=5",
"12*5=60"
] | Current State: 60:[17, 65, 29, 60], Operations: []
Exploring Operation: 29-17=12, Resulting Numbers: [65, 60, 12]
Generated Node #2: [65, 60, 12] from Operation: 29-17=12
Current State: 60:[65, 60, 12], Operations: ['29-17=12']
Exploring Operation: 65-60=5, Resulting Numbers: [12, 5]
Generated Node #3: [12, 5] from Operation: 65-60=5
Current State: 60:[12, 5], Operations: ['29-17=12', '65-60=5']
Exploring Operation: 12*5=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
54,
83,
9,
1
] | 76 | [
"54/9=6",
"83-1=82",
"82-6=76"
] | Current State: 76:[54, 83, 9, 1], Operations: []
Exploring Operation: 54/9=6, Resulting Numbers: [83, 1, 6]
Generated Node #2: [83, 1, 6] from Operation: 54/9=6
Current State: 76:[83, 1, 6], Operations: ['54/9=6']
Exploring Operation: 83-1=82, Resulting Numbers: [6, 82]
Generated Node #3: [6, 82] from Operation: 83-1=82
Current State: 76:[6, 82], Operations: ['54/9=6', '83-1=82']
Exploring Operation: 82-6=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
2,
9,
67,
65
] | 94 | [
"67-9=58",
"58/2=29",
"65+29=94"
] | Current State: 94:[2, 9, 67, 65], Operations: []
Exploring Operation: 67-9=58, Resulting Numbers: [2, 65, 58]
Generated Node #2: [2, 65, 58] from Operation: 67-9=58
Current State: 94:[2, 65, 58], Operations: ['67-9=58']
Exploring Operation: 58/2=29, Resulting Numbers: [65, 29]
Generated Node #3: [65, 29] from Operation: 58/2=29
Current State: 94:[65, 29], Operations: ['67-9=58', '58/2=29']
Exploring Operation: 65+29=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
83,
88,
21,
2
] | 51 | [
"88-21=67",
"2*67=134",
"134-83=51"
] | Current State: 51:[83, 88, 21, 2], Operations: []
Exploring Operation: 88-21=67, Resulting Numbers: [83, 2, 67]
Generated Node #2: [83, 2, 67] from Operation: 88-21=67
Current State: 51:[83, 2, 67], Operations: ['88-21=67']
Exploring Operation: 2*67=134, Resulting Numbers: [83, 134]
Generated Node #3: [83, 134] from Operation: 2*67=134
Current State: 51:[83, 134], Operations: ['88-21=67', '2*67=134']
Exploring Operation: 134-83=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
51,
46,
20,
49
] | 33 | [
"51-49=2",
"46+20=66",
"66/2=33"
] | Current State: 33:[51, 46, 20, 49], Operations: []
Exploring Operation: 51-49=2, Resulting Numbers: [46, 20, 2]
Generated Node #2: [46, 20, 2] from Operation: 51-49=2
Current State: 33:[46, 20, 2], Operations: ['51-49=2']
Exploring Operation: 46+20=66, Resulting Numbers: [2, 66]
Generated Node #3: [2, 66] from Operation: 46+20=66
Current State: 33:[2, 66], Operations: ['51-49=2', '46+20=66']
Exploring Operation: 66/2=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
75,
18,
73,
38
] | 94 | [
"75-73=2",
"38*2=76",
"18+76=94"
] | Current State: 94:[75, 18, 73, 38], Operations: []
Exploring Operation: 75-73=2, Resulting Numbers: [18, 38, 2]
Generated Node #2: [18, 38, 2] from Operation: 75-73=2
Current State: 94:[18, 38, 2], Operations: ['75-73=2']
Exploring Operation: 38*2=76, Resulting Numbers: [18, 76]
Generated Node #3: [18, 76] from Operation: 38*2=76
Current State: 94:[18, 76], Operations: ['75-73=2', '38*2=76']
Exploring Operation: 18+76=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
22,
60,
16,
72
] | 39 | [
"22*72=1584",
"1584/16=99",
"99-60=39"
] | Current State: 39:[22, 60, 16, 72], Operations: []
Exploring Operation: 22*72=1584, Resulting Numbers: [60, 16, 1584]
Generated Node #2: [60, 16, 1584] from Operation: 22*72=1584
Current State: 39:[60, 16, 1584], Operations: ['22*72=1584']
Exploring Operation: 1584/16=99, Resulting Numbers: [60, 99]
Generated Node #3: [60, 99] from Operation: 1584/16=99
Current State: 39:[60, 99], Operations: ['22*72=1584', '1584/16=99']
Exploring Operation: 99-60=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
4,
41,
68,
15
] | 81 | [
"4*41=164",
"68+15=83",
"164-83=81"
] | Current State: 81:[4, 41, 68, 15], Operations: []
Exploring Operation: 4*41=164, Resulting Numbers: [68, 15, 164]
Generated Node #2: [68, 15, 164] from Operation: 4*41=164
Current State: 81:[68, 15, 164], Operations: ['4*41=164']
Exploring Operation: 68+15=83, Resulting Numbers: [164, 83]
Generated Node #3: [164, 83] from Operation: 68+15=83
Current State: 81:[164, 83], Operations: ['4*41=164', '68+15=83']
Exploring Operation: 164-83=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
57,
20,
72,
62
] | 55 | [
"72-62=10",
"20/10=2",
"57-2=55"
] | Current State: 55:[57, 20, 72, 62], Operations: []
Exploring Operation: 72-62=10, Resulting Numbers: [57, 20, 10]
Generated Node #2: [57, 20, 10] from Operation: 72-62=10
Current State: 55:[57, 20, 10], Operations: ['72-62=10']
Exploring Operation: 20/10=2, Resulting Numbers: [57, 2]
Generated Node #3: [57, 2] from Operation: 20/10=2
Current State: 55:[57, 2], Operations: ['72-62=10', '20/10=2']
Exploring Operation: 57-2=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
45,
73,
52,
2
] | 33 | [
"45+73=118",
"118-52=66",
"66/2=33"
] | Current State: 33:[45, 73, 52, 2], Operations: []
Exploring Operation: 45+73=118, Resulting Numbers: [52, 2, 118]
Generated Node #2: [52, 2, 118] from Operation: 45+73=118
Current State: 33:[52, 2, 118], Operations: ['45+73=118']
Exploring Operation: 118-52=66, Resulting Numbers: [2, 66]
Generated Node #3: [2, 66] from Operation: 118-52=66
Current State: 33:[2, 66], Operations: ['45+73=118', '118-52=66']
Exploring Operation: 66/2=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
27,
70,
62,
54
] | 16 | [
"54/27=2",
"70-62=8",
"2*8=16"
] | Current State: 16:[27, 70, 62, 54], Operations: []
Exploring Operation: 54/27=2, Resulting Numbers: [70, 62, 2]
Generated Node #2: [70, 62, 2] from Operation: 54/27=2
Current State: 16:[70, 62, 2], Operations: ['54/27=2']
Exploring Operation: 70-62=8, Resulting Numbers: [2, 8]
Generated Node #3: [2, 8] from Operation: 70-62=8
Current State: 16:[2, 8], Operations: ['54/27=2', '70-62=8']
Exploring Operation: 2*8=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
64,
96,
62,
98
] | 30 | [
"98-96=2",
"64/2=32",
"62-32=30"
] | Current State: 30:[64, 96, 62, 98], Operations: []
Exploring Operation: 98-96=2, Resulting Numbers: [64, 62, 2]
Generated Node #2: [64, 62, 2] from Operation: 98-96=2
Current State: 30:[64, 62, 2], Operations: ['98-96=2']
Exploring Operation: 64/2=32, Resulting Numbers: [62, 32]
Generated Node #3: [62, 32] from Operation: 64/2=32
Current State: 30:[62, 32], Operations: ['98-96=2', '64/2=32']
Exploring Operation: 62-32=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
55,
65,
63,
77
] | 24 | [
"65-55=10",
"77-63=14",
"10+14=24"
] | Current State: 24:[55, 65, 63, 77], Operations: []
Exploring Operation: 65-55=10, Resulting Numbers: [63, 77, 10]
Generated Node #2: [63, 77, 10] from Operation: 65-55=10
Current State: 24:[63, 77, 10], Operations: ['65-55=10']
Exploring Operation: 77-63=14, Resulting Numbers: [10, 14]
Generated Node #3: [10, 14] from Operation: 77-63=14
Current State: 24:[10, 14], Operations: ['65-55=10', '77-63=14']
Exploring Operation: 10+14=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
34,
12,
9,
30
] | 68 | [
"30-12=18",
"34*18=612",
"612/9=68"
] | Current State: 68:[34, 12, 9, 30], Operations: []
Exploring Operation: 30-12=18, Resulting Numbers: [34, 9, 18]
Generated Node #2: [34, 9, 18] from Operation: 30-12=18
Current State: 68:[34, 9, 18], Operations: ['30-12=18']
Exploring Operation: 34*18=612, Resulting Numbers: [9, 612]
Generated Node #3: [9, 612] from Operation: 34*18=612
Current State: 68:[9, 612], Operations: ['30-12=18', '34*18=612']
Exploring Operation: 612/9=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
16,
73,
43,
70
] | 81 | [
"43-16=27",
"73-70=3",
"27*3=81"
] | Current State: 81:[16, 73, 43, 70], Operations: []
Exploring Operation: 43-16=27, Resulting Numbers: [73, 70, 27]
Generated Node #2: [73, 70, 27] from Operation: 43-16=27
Current State: 81:[73, 70, 27], Operations: ['43-16=27']
Exploring Operation: 73-70=3, Resulting Numbers: [27, 3]
Generated Node #3: [27, 3] from Operation: 73-70=3
Current State: 81:[27, 3], Operations: ['43-16=27', '73-70=3']
Exploring Operation: 27*3=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
45,
18,
6,
40
] | 84 | [
"45-40=5",
"18*5=90",
"90-6=84"
] | Current State: 84:[45, 18, 6, 40], Operations: []
Exploring Operation: 45-40=5, Resulting Numbers: [18, 6, 5]
Generated Node #2: [18, 6, 5] from Operation: 45-40=5
Current State: 84:[18, 6, 5], Operations: ['45-40=5']
Exploring Operation: 18*5=90, Resulting Numbers: [6, 90]
Generated Node #3: [6, 90] from Operation: 18*5=90
Current State: 84:[6, 90], Operations: ['45-40=5', '18*5=90']
Exploring Operation: 90-6=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
36,
49,
40,
72
] | 45 | [
"49-36=13",
"72-40=32",
"13+32=45"
] | Current State: 45:[36, 49, 40, 72], Operations: []
Exploring Operation: 49-36=13, Resulting Numbers: [40, 72, 13]
Generated Node #2: [40, 72, 13] from Operation: 49-36=13
Current State: 45:[40, 72, 13], Operations: ['49-36=13']
Exploring Operation: 72-40=32, Resulting Numbers: [13, 32]
Generated Node #3: [13, 32] from Operation: 72-40=32
Current State: 45:[13, 32], Operations: ['49-36=13', '72-40=32']
Exploring Operation: 13+32=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
86,
92,
15,
13
] | 89 | [
"86+92=178",
"15-13=2",
"178/2=89"
] | Current State: 89:[86, 92, 15, 13], Operations: []
Exploring Operation: 86+92=178, Resulting Numbers: [15, 13, 178]
Generated Node #2: [15, 13, 178] from Operation: 86+92=178
Current State: 89:[15, 13, 178], Operations: ['86+92=178']
Exploring Operation: 15-13=2, Resulting Numbers: [178, 2]
Generated Node #3: [178, 2] from Operation: 15-13=2
Current State: 89:[178, 2], Operations: ['86+92=178', '15-13=2']
Exploring Operation: 178/2=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
28,
9,
7,
44
] | 88 | [
"28+9=37",
"7+44=51",
"37+51=88"
] | Current State: 88:[28, 9, 7, 44], Operations: []
Exploring Operation: 28+9=37, Resulting Numbers: [7, 44, 37]
Generated Node #2: [7, 44, 37] from Operation: 28+9=37
Current State: 88:[7, 44, 37], Operations: ['28+9=37']
Exploring Operation: 7+44=51, Resulting Numbers: [37, 51]
Generated Node #3: [37, 51] from Operation: 7+44=51
Current State: 88:[37, 51], Operations: ['28+9=37', '7+44=51']
Exploring Operation: 37+51=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
90,
6,
80,
31
] | 91 | [
"90-80=10",
"6*10=60",
"31+60=91"
] | Current State: 91:[90, 6, 80, 31], Operations: []
Exploring Operation: 90-80=10, Resulting Numbers: [6, 31, 10]
Generated Node #2: [6, 31, 10] from Operation: 90-80=10
Current State: 91:[6, 31, 10], Operations: ['90-80=10']
Exploring Operation: 6*10=60, Resulting Numbers: [31, 60]
Generated Node #3: [31, 60] from Operation: 6*10=60
Current State: 91:[31, 60], Operations: ['90-80=10', '6*10=60']
Exploring Operation: 31+60=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
12,
77,
49,
89
] | 50 | [
"12+77=89",
"89/89=1",
"49+1=50"
] | Current State: 50:[12, 77, 49, 89], Operations: []
Exploring Operation: 12+77=89, Resulting Numbers: [49, 89, 89]
Generated Node #2: [49, 89, 89] from Operation: 12+77=89
Current State: 50:[49, 89, 89], Operations: ['12+77=89']
Exploring Operation: 89/89=1, Resulting Numbers: [49, 1]
Generated Node #3: [49, 1] from Operation: 89/89=1
Current State: 50:[49, 1], Operations: ['12+77=89', '89/89=1']
Exploring Operation: 49+1=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
2,
4,
41,
77
] | 29 | [
"41-2=39",
"77+39=116",
"116/4=29"
] | Current State: 29:[2, 4, 41, 77], Operations: []
Exploring Operation: 41-2=39, Resulting Numbers: [4, 77, 39]
Generated Node #2: [4, 77, 39] from Operation: 41-2=39
Current State: 29:[4, 77, 39], Operations: ['41-2=39']
Exploring Operation: 77+39=116, Resulting Numbers: [4, 116]
Generated Node #3: [4, 116] from Operation: 77+39=116
Current State: 29:[4, 116], Operations: ['41-2=39', '77+39=116']
Exploring Operation: 116/4=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
32,
41,
31,
28
] | 13 | [
"32-31=1",
"41-28=13",
"1*13=13"
] | Current State: 13:[32, 41, 31, 28], Operations: []
Exploring Operation: 32-31=1, Resulting Numbers: [41, 28, 1]
Generated Node #2: [41, 28, 1] from Operation: 32-31=1
Current State: 13:[41, 28, 1], Operations: ['32-31=1']
Exploring Operation: 41-28=13, Resulting Numbers: [1, 13]
Generated Node #3: [1, 13] from Operation: 41-28=13
Current State: 13:[1, 13], Operations: ['32-31=1', '41-28=13']
Exploring Operation: 1*13=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
97,
42,
96,
76
] | 75 | [
"97-42=55",
"96-76=20",
"55+20=75"
] | Current State: 75:[97, 42, 96, 76], Operations: []
Exploring Operation: 97-42=55, Resulting Numbers: [96, 76, 55]
Generated Node #2: [96, 76, 55] from Operation: 97-42=55
Current State: 75:[96, 76, 55], Operations: ['97-42=55']
Exploring Operation: 96-76=20, Resulting Numbers: [55, 20]
Generated Node #3: [55, 20] from Operation: 96-76=20
Current State: 75:[55, 20], Operations: ['97-42=55', '96-76=20']
Exploring Operation: 55+20=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
31,
33,
17,
82
] | 34 | [
"17+82=99",
"99/33=3",
"31+3=34"
] | Current State: 34:[31, 33, 17, 82], Operations: []
Exploring Operation: 17+82=99, Resulting Numbers: [31, 33, 99]
Generated Node #2: [31, 33, 99] from Operation: 17+82=99
Current State: 34:[31, 33, 99], Operations: ['17+82=99']
Exploring Operation: 99/33=3, Resulting Numbers: [31, 3]
Generated Node #3: [31, 3] from Operation: 99/33=3
Current State: 34:[31, 3], Operations: ['17+82=99', '99/33=3']
Exploring Operation: 31+3=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
9,
93,
86,
17
] | 51 | [
"9*86=774",
"93+774=867",
"867/17=51"
] | Current State: 51:[9, 93, 86, 17], Operations: []
Exploring Operation: 9*86=774, Resulting Numbers: [93, 17, 774]
Generated Node #2: [93, 17, 774] from Operation: 9*86=774
Current State: 51:[93, 17, 774], Operations: ['9*86=774']
Exploring Operation: 93+774=867, Resulting Numbers: [17, 867]
Generated Node #3: [17, 867] from Operation: 93+774=867
Current State: 51:[17, 867], Operations: ['9*86=774', '93+774=867']
Exploring Operation: 867/17=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
74,
23,
19,
5
] | 16 | [
"74-5=69",
"69/23=3",
"19-3=16"
] | Current State: 16:[74, 23, 19, 5], Operations: []
Exploring Operation: 74-5=69, Resulting Numbers: [23, 19, 69]
Generated Node #2: [23, 19, 69] from Operation: 74-5=69
Current State: 16:[23, 19, 69], Operations: ['74-5=69']
Exploring Operation: 69/23=3, Resulting Numbers: [19, 3]
Generated Node #3: [19, 3] from Operation: 69/23=3
Current State: 16:[19, 3], Operations: ['74-5=69', '69/23=3']
Exploring Operation: 19-3=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
84,
28,
42,
63
] | 28 | [
"84*42=3528",
"3528/63=56",
"56-28=28"
] | Current State: 28:[84, 28, 42, 63], Operations: []
Exploring Operation: 84*42=3528, Resulting Numbers: [28, 63, 3528]
Generated Node #2: [28, 63, 3528] from Operation: 84*42=3528
Current State: 28:[28, 63, 3528], Operations: ['84*42=3528']
Exploring Operation: 3528/63=56, Resulting Numbers: [28, 56]
Generated Node #3: [28, 56] from Operation: 3528/63=56
Current State: 28:[28, 56], Operations: ['84*42=3528', '3528/63=56']
Exploring Operation: 56-28=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
65,
74,
92,
88
] | 78 | [
"88-65=23",
"92/23=4",
"74+4=78"
] | Current State: 78:[65, 74, 92, 88], Operations: []
Exploring Operation: 88-65=23, Resulting Numbers: [74, 92, 23]
Generated Node #2: [74, 92, 23] from Operation: 88-65=23
Current State: 78:[74, 92, 23], Operations: ['88-65=23']
Exploring Operation: 92/23=4, Resulting Numbers: [74, 4]
Generated Node #3: [74, 4] from Operation: 92/23=4
Current State: 78:[74, 4], Operations: ['88-65=23', '92/23=4']
Exploring Operation: 74+4=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
79,
40,
82,
75
] | 15 | [
"82-79=3",
"75/3=25",
"40-25=15"
] | Current State: 15:[79, 40, 82, 75], Operations: []
Exploring Operation: 82-79=3, Resulting Numbers: [40, 75, 3]
Generated Node #2: [40, 75, 3] from Operation: 82-79=3
Current State: 15:[40, 75, 3], Operations: ['82-79=3']
Exploring Operation: 75/3=25, Resulting Numbers: [40, 25]
Generated Node #3: [40, 25] from Operation: 75/3=25
Current State: 15:[40, 25], Operations: ['82-79=3', '75/3=25']
Exploring Operation: 40-25=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
25,
15,
72,
12
] | 52 | [
"25*12=300",
"300/15=20",
"72-20=52"
] | Current State: 52:[25, 15, 72, 12], Operations: []
Exploring Operation: 25*12=300, Resulting Numbers: [15, 72, 300]
Generated Node #2: [15, 72, 300] from Operation: 25*12=300
Current State: 52:[15, 72, 300], Operations: ['25*12=300']
Exploring Operation: 300/15=20, Resulting Numbers: [72, 20]
Generated Node #3: [72, 20] from Operation: 300/15=20
Current State: 52:[72, 20], Operations: ['25*12=300', '300/15=20']
Exploring Operation: 72-20=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
61,
99,
96,
65
] | 75 | [
"65-61=4",
"96/4=24",
"99-24=75"
] | Current State: 75:[61, 99, 96, 65], Operations: []
Exploring Operation: 65-61=4, Resulting Numbers: [99, 96, 4]
Generated Node #2: [99, 96, 4] from Operation: 65-61=4
Current State: 75:[99, 96, 4], Operations: ['65-61=4']
Exploring Operation: 96/4=24, Resulting Numbers: [99, 24]
Generated Node #3: [99, 24] from Operation: 96/4=24
Current State: 75:[99, 24], Operations: ['65-61=4', '96/4=24']
Exploring Operation: 99-24=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
17,
47,
51,
10
] | 72 | [
"17*10=170",
"47+51=98",
"170-98=72"
] | Current State: 72:[17, 47, 51, 10], Operations: []
Exploring Operation: 17*10=170, Resulting Numbers: [47, 51, 170]
Generated Node #2: [47, 51, 170] from Operation: 17*10=170
Current State: 72:[47, 51, 170], Operations: ['17*10=170']
Exploring Operation: 47+51=98, Resulting Numbers: [170, 98]
Generated Node #3: [170, 98] from Operation: 47+51=98
Current State: 72:[170, 98], Operations: ['17*10=170', '47+51=98']
Exploring Operation: 170-98=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
9,
3,
37,
41
] | 23 | [
"9*3=27",
"41-37=4",
"27-4=23"
] | Current State: 23:[9, 3, 37, 41], Operations: []
Exploring Operation: 9*3=27, Resulting Numbers: [37, 41, 27]
Generated Node #2: [37, 41, 27] from Operation: 9*3=27
Current State: 23:[37, 41, 27], Operations: ['9*3=27']
Exploring Operation: 41-37=4, Resulting Numbers: [27, 4]
Generated Node #3: [27, 4] from Operation: 41-37=4
Current State: 23:[27, 4], Operations: ['9*3=27', '41-37=4']
Exploring Operation: 27-4=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
7,
54,
45,
81
] | 36 | [
"45+81=126",
"126/7=18",
"54-18=36"
] | Current State: 36:[7, 54, 45, 81], Operations: []
Exploring Operation: 45+81=126, Resulting Numbers: [7, 54, 126]
Generated Node #2: [7, 54, 126] from Operation: 45+81=126
Current State: 36:[7, 54, 126], Operations: ['45+81=126']
Exploring Operation: 126/7=18, Resulting Numbers: [54, 18]
Generated Node #3: [54, 18] from Operation: 126/7=18
Current State: 36:[54, 18], Operations: ['45+81=126', '126/7=18']
Exploring Operation: 54-18=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
12,
1,
97,
45
] | 37 | [
"97-1=96",
"96/12=8",
"45-8=37"
] | Current State: 37:[12, 1, 97, 45], Operations: []
Exploring Operation: 97-1=96, Resulting Numbers: [12, 45, 96]
Generated Node #2: [12, 45, 96] from Operation: 97-1=96
Current State: 37:[12, 45, 96], Operations: ['97-1=96']
Exploring Operation: 96/12=8, Resulting Numbers: [45, 8]
Generated Node #3: [45, 8] from Operation: 96/12=8
Current State: 37:[45, 8], Operations: ['97-1=96', '96/12=8']
Exploring Operation: 45-8=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
25,
10,
73,
51
] | 37 | [
"25-10=15",
"73-51=22",
"15+22=37"
] | Current State: 37:[25, 10, 73, 51], Operations: []
Exploring Operation: 25-10=15, Resulting Numbers: [73, 51, 15]
Generated Node #2: [73, 51, 15] from Operation: 25-10=15
Current State: 37:[73, 51, 15], Operations: ['25-10=15']
Exploring Operation: 73-51=22, Resulting Numbers: [15, 22]
Generated Node #3: [15, 22] from Operation: 73-51=22
Current State: 37:[15, 22], Operations: ['25-10=15', '73-51=22']
Exploring Operation: 15+22=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
94,
74,
26,
92
] | 61 | [
"94-92=2",
"26/2=13",
"74-13=61"
] | Current State: 61:[94, 74, 26, 92], Operations: []
Exploring Operation: 94-92=2, Resulting Numbers: [74, 26, 2]
Generated Node #2: [74, 26, 2] from Operation: 94-92=2
Current State: 61:[74, 26, 2], Operations: ['94-92=2']
Exploring Operation: 26/2=13, Resulting Numbers: [74, 13]
Generated Node #3: [74, 13] from Operation: 26/2=13
Current State: 61:[74, 13], Operations: ['94-92=2', '26/2=13']
Exploring Operation: 74-13=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
47,
85,
73,
76
] | 71 | [
"85-47=38",
"76/38=2",
"73-2=71"
] | Current State: 71:[47, 85, 73, 76], Operations: []
Exploring Operation: 85-47=38, Resulting Numbers: [73, 76, 38]
Generated Node #2: [73, 76, 38] from Operation: 85-47=38
Current State: 71:[73, 76, 38], Operations: ['85-47=38']
Exploring Operation: 76/38=2, Resulting Numbers: [73, 2]
Generated Node #3: [73, 2] from Operation: 76/38=2
Current State: 71:[73, 2], Operations: ['85-47=38', '76/38=2']
Exploring Operation: 73-2=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
10,
68,
99,
68
] | 99 | [
"68-68=0",
"10*0=0",
"99+0=99"
] | Current State: 99:[10, 68, 99, 68], Operations: []
Exploring Operation: 68-68=0, Resulting Numbers: [10, 99, 0]
Generated Node #2: [10, 99, 0] from Operation: 68-68=0
Current State: 99:[10, 99, 0], Operations: ['68-68=0']
Exploring Operation: 10*0=0, Resulting Numbers: [99, 0]
Generated Node #3: [99, 0] from Operation: 10*0=0
Current State: 99:[99, 0], Operations: ['68-68=0', '10*0=0']
Exploring Operation: 99+0=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
72,
59,
62,
78
] | 29 | [
"72-59=13",
"78-62=16",
"13+16=29"
] | Current State: 29:[72, 59, 62, 78], Operations: []
Exploring Operation: 72-59=13, Resulting Numbers: [62, 78, 13]
Generated Node #2: [62, 78, 13] from Operation: 72-59=13
Current State: 29:[62, 78, 13], Operations: ['72-59=13']
Exploring Operation: 78-62=16, Resulting Numbers: [13, 16]
Generated Node #3: [13, 16] from Operation: 78-62=16
Current State: 29:[13, 16], Operations: ['72-59=13', '78-62=16']
Exploring Operation: 13+16=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
3,
19,
93,
13
] | 29 | [
"93-19=74",
"13+74=87",
"87/3=29"
] | Current State: 29:[3, 19, 93, 13], Operations: []
Exploring Operation: 93-19=74, Resulting Numbers: [3, 13, 74]
Generated Node #2: [3, 13, 74] from Operation: 93-19=74
Current State: 29:[3, 13, 74], Operations: ['93-19=74']
Exploring Operation: 13+74=87, Resulting Numbers: [3, 87]
Generated Node #3: [3, 87] from Operation: 13+74=87
Current State: 29:[3, 87], Operations: ['93-19=74', '13+74=87']
Exploring Operation: 87/3=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
86,
69,
51,
4
] | 100 | [
"86+69=155",
"51+4=55",
"155-55=100"
] | Current State: 100:[86, 69, 51, 4], Operations: []
Exploring Operation: 86+69=155, Resulting Numbers: [51, 4, 155]
Generated Node #2: [51, 4, 155] from Operation: 86+69=155
Current State: 100:[51, 4, 155], Operations: ['86+69=155']
Exploring Operation: 51+4=55, Resulting Numbers: [155, 55]
Generated Node #3: [155, 55] from Operation: 51+4=55
Current State: 100:[155, 55], Operations: ['86+69=155', '51+4=55']
Exploring Operation: 155-55=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
20,
77,
14,
4
] | 39 | [
"77-20=57",
"14+4=18",
"57-18=39"
] | Current State: 39:[20, 77, 14, 4], Operations: []
Exploring Operation: 77-20=57, Resulting Numbers: [14, 4, 57]
Generated Node #2: [14, 4, 57] from Operation: 77-20=57
Current State: 39:[14, 4, 57], Operations: ['77-20=57']
Exploring Operation: 14+4=18, Resulting Numbers: [57, 18]
Generated Node #3: [57, 18] from Operation: 14+4=18
Current State: 39:[57, 18], Operations: ['77-20=57', '14+4=18']
Exploring Operation: 57-18=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
6,
65,
17,
73
] | 81 | [
"65-17=48",
"48/6=8",
"73+8=81"
] | Current State: 81:[6, 65, 17, 73], Operations: []
Exploring Operation: 65-17=48, Resulting Numbers: [6, 73, 48]
Generated Node #2: [6, 73, 48] from Operation: 65-17=48
Current State: 81:[6, 73, 48], Operations: ['65-17=48']
Exploring Operation: 48/6=8, Resulting Numbers: [73, 8]
Generated Node #3: [73, 8] from Operation: 48/6=8
Current State: 81:[73, 8], Operations: ['65-17=48', '48/6=8']
Exploring Operation: 73+8=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
22,
47,
19,
23
] | 21 | [
"47-22=25",
"23-19=4",
"25-4=21"
] | Current State: 21:[22, 47, 19, 23], Operations: []
Exploring Operation: 47-22=25, Resulting Numbers: [19, 23, 25]
Generated Node #2: [19, 23, 25] from Operation: 47-22=25
Current State: 21:[19, 23, 25], Operations: ['47-22=25']
Exploring Operation: 23-19=4, Resulting Numbers: [25, 4]
Generated Node #3: [25, 4] from Operation: 23-19=4
Current State: 21:[25, 4], Operations: ['47-22=25', '23-19=4']
Exploring Operation: 25-4=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
85,
7,
22,
22
] | 79 | [
"85-7=78",
"22/22=1",
"78+1=79"
] | Current State: 79:[85, 7, 22, 22], Operations: []
Exploring Operation: 85-7=78, Resulting Numbers: [22, 22, 78]
Generated Node #2: [22, 22, 78] from Operation: 85-7=78
Current State: 79:[22, 22, 78], Operations: ['85-7=78']
Exploring Operation: 22/22=1, Resulting Numbers: [78, 1]
Generated Node #3: [78, 1] from Operation: 22/22=1
Current State: 79:[78, 1], Operations: ['85-7=78', '22/22=1']
Exploring Operation: 78+1=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
76,
86,
65,
38
] | 22 | [
"76/38=2",
"86/2=43",
"65-43=22"
] | Current State: 22:[76, 86, 65, 38], Operations: []
Exploring Operation: 76/38=2, Resulting Numbers: [86, 65, 2]
Generated Node #2: [86, 65, 2] from Operation: 76/38=2
Current State: 22:[86, 65, 2], Operations: ['76/38=2']
Exploring Operation: 86/2=43, Resulting Numbers: [65, 43]
Generated Node #3: [65, 43] from Operation: 86/2=43
Current State: 22:[65, 43], Operations: ['76/38=2', '86/2=43']
Exploring Operation: 65-43=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
5,
7,
81,
52
] | 72 | [
"52-7=45",
"45/5=9",
"81-9=72"
] | Current State: 72:[5, 7, 81, 52], Operations: []
Exploring Operation: 52-7=45, Resulting Numbers: [5, 81, 45]
Generated Node #2: [5, 81, 45] from Operation: 52-7=45
Current State: 72:[5, 81, 45], Operations: ['52-7=45']
Exploring Operation: 45/5=9, Resulting Numbers: [81, 9]
Generated Node #3: [81, 9] from Operation: 45/5=9
Current State: 72:[81, 9], Operations: ['52-7=45', '45/5=9']
Exploring Operation: 81-9=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
45,
57,
90,
90
] | 55 | [
"90-45=45",
"90/45=2",
"57-2=55"
] | Current State: 55:[45, 57, 90, 90], Operations: []
Exploring Operation: 90-45=45, Resulting Numbers: [57, 45]
Generated Node #2: [57, 45] from Operation: 90-45=45
Current State: 55:[57, 45], Operations: ['90-45=45']
Exploring Operation: 90/45=2, Resulting Numbers: [57, 2]
Generated Node #3: [57, 2] from Operation: 90/45=2
Current State: 55:[57, 2], Operations: ['90-45=45', '90/45=2']
Exploring Operation: 57-2=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
7,
54,
77,
89
] | 46 | [
"77/7=11",
"89-54=35",
"11+35=46"
] | Current State: 46:[7, 54, 77, 89], Operations: []
Exploring Operation: 77/7=11, Resulting Numbers: [54, 89, 11]
Generated Node #2: [54, 89, 11] from Operation: 77/7=11
Current State: 46:[54, 89, 11], Operations: ['77/7=11']
Exploring Operation: 89-54=35, Resulting Numbers: [11, 35]
Generated Node #3: [11, 35] from Operation: 89-54=35
Current State: 46:[11, 35], Operations: ['77/7=11', '89-54=35']
Exploring Operation: 11+35=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
66,
97,
42,
66
] | 56 | [
"66/66=1",
"97-42=55",
"1+55=56"
] | Current State: 56:[66, 97, 42, 66], Operations: []
Exploring Operation: 66/66=1, Resulting Numbers: [97, 42, 1]
Generated Node #2: [97, 42, 1] from Operation: 66/66=1
Current State: 56:[97, 42, 1], Operations: ['66/66=1']
Exploring Operation: 97-42=55, Resulting Numbers: [1, 55]
Generated Node #3: [1, 55] from Operation: 97-42=55
Current State: 56:[1, 55], Operations: ['66/66=1', '97-42=55']
Exploring Operation: 1+55=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
36,
51,
34,
75
] | 56 | [
"51-36=15",
"75-34=41",
"15+41=56"
] | Current State: 56:[36, 51, 34, 75], Operations: []
Exploring Operation: 51-36=15, Resulting Numbers: [34, 75, 15]
Generated Node #2: [34, 75, 15] from Operation: 51-36=15
Current State: 56:[34, 75, 15], Operations: ['51-36=15']
Exploring Operation: 75-34=41, Resulting Numbers: [15, 41]
Generated Node #3: [15, 41] from Operation: 75-34=41
Current State: 56:[15, 41], Operations: ['51-36=15', '75-34=41']
Exploring Operation: 15+41=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
20,
16,
85,
89
] | 32 | [
"20+16=36",
"89-85=4",
"36-4=32"
] | Current State: 32:[20, 16, 85, 89], Operations: []
Exploring Operation: 20+16=36, Resulting Numbers: [85, 89, 36]
Generated Node #2: [85, 89, 36] from Operation: 20+16=36
Current State: 32:[85, 89, 36], Operations: ['20+16=36']
Exploring Operation: 89-85=4, Resulting Numbers: [36, 4]
Generated Node #3: [36, 4] from Operation: 89-85=4
Current State: 32:[36, 4], Operations: ['20+16=36', '89-85=4']
Exploring Operation: 36-4=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
3,
88,
62,
56
] | 18 | [
"3*56=168",
"88+62=150",
"168-150=18"
] | Current State: 18:[3, 88, 62, 56], Operations: []
Exploring Operation: 3*56=168, Resulting Numbers: [88, 62, 168]
Generated Node #2: [88, 62, 168] from Operation: 3*56=168
Current State: 18:[88, 62, 168], Operations: ['3*56=168']
Exploring Operation: 88+62=150, Resulting Numbers: [168, 150]
Generated Node #3: [168, 150] from Operation: 88+62=150
Current State: 18:[168, 150], Operations: ['3*56=168', '88+62=150']
Exploring Operation: 168-150=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
33,
74,
83,
36
] | 37 | [
"83-74=9",
"36/9=4",
"33+4=37"
] | Current State: 37:[33, 74, 83, 36], Operations: []
Exploring Operation: 83-74=9, Resulting Numbers: [33, 36, 9]
Generated Node #2: [33, 36, 9] from Operation: 83-74=9
Current State: 37:[33, 36, 9], Operations: ['83-74=9']
Exploring Operation: 36/9=4, Resulting Numbers: [33, 4]
Generated Node #3: [33, 4] from Operation: 36/9=4
Current State: 37:[33, 4], Operations: ['83-74=9', '36/9=4']
Exploring Operation: 33+4=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
13,
54,
22,
68
] | 74 | [
"22-13=9",
"54/9=6",
"68+6=74"
] | Current State: 74:[13, 54, 22, 68], Operations: []
Exploring Operation: 22-13=9, Resulting Numbers: [54, 68, 9]
Generated Node #2: [54, 68, 9] from Operation: 22-13=9
Current State: 74:[54, 68, 9], Operations: ['22-13=9']
Exploring Operation: 54/9=6, Resulting Numbers: [68, 6]
Generated Node #3: [68, 6] from Operation: 54/9=6
Current State: 74:[68, 6], Operations: ['22-13=9', '54/9=6']
Exploring Operation: 68+6=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
64,
9,
53,
93
] | 73 | [
"64+9=73",
"53+93=146",
"146-73=73"
] | Current State: 73:[64, 9, 53, 93], Operations: []
Exploring Operation: 64+9=73, Resulting Numbers: [53, 93, 73]
Generated Node #2: [53, 93, 73] from Operation: 64+9=73
Current State: 73:[53, 93, 73], Operations: ['64+9=73']
Exploring Operation: 53+93=146, Resulting Numbers: [73, 146]
Generated Node #3: [73, 146] from Operation: 53+93=146
Current State: 73:[73, 146], Operations: ['64+9=73', '53+93=146']
Exploring Operation: 146-73=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
27,
64,
32,
27
] | 52 | [
"27+27=54",
"64/32=2",
"54-2=52"
] | Current State: 52:[27, 64, 32, 27], Operations: []
Exploring Operation: 27+27=54, Resulting Numbers: [64, 32, 54]
Generated Node #2: [64, 32, 54] from Operation: 27+27=54
Current State: 52:[64, 32, 54], Operations: ['27+27=54']
Exploring Operation: 64/32=2, Resulting Numbers: [54, 2]
Generated Node #3: [54, 2] from Operation: 64/32=2
Current State: 52:[54, 2], Operations: ['27+27=54', '64/32=2']
Exploring Operation: 54-2=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
42,
24,
45,
18
] | 18 | [
"45-42=3",
"24-18=6",
"3*6=18"
] | Current State: 18:[42, 24, 45, 18], Operations: []
Exploring Operation: 45-42=3, Resulting Numbers: [24, 18, 3]
Generated Node #2: [24, 18, 3] from Operation: 45-42=3
Current State: 18:[24, 18, 3], Operations: ['45-42=3']
Exploring Operation: 24-18=6, Resulting Numbers: [3, 6]
Generated Node #3: [3, 6] from Operation: 24-18=6
Current State: 18:[3, 6], Operations: ['45-42=3', '24-18=6']
Exploring Operation: 3*6=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
31,
87,
6,
46
] | 16 | [
"87-31=56",
"46-6=40",
"56-40=16"
] | Current State: 16:[31, 87, 6, 46], Operations: []
Exploring Operation: 87-31=56, Resulting Numbers: [6, 46, 56]
Generated Node #2: [6, 46, 56] from Operation: 87-31=56
Current State: 16:[6, 46, 56], Operations: ['87-31=56']
Exploring Operation: 46-6=40, Resulting Numbers: [56, 40]
Generated Node #3: [56, 40] from Operation: 46-6=40
Current State: 16:[56, 40], Operations: ['87-31=56', '46-6=40']
Exploring Operation: 56-40=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
73,
21,
19,
70
] | 76 | [
"21-19=2",
"73*2=146",
"146-70=76"
] | Current State: 76:[73, 21, 19, 70], Operations: []
Exploring Operation: 21-19=2, Resulting Numbers: [73, 70, 2]
Generated Node #2: [73, 70, 2] from Operation: 21-19=2
Current State: 76:[73, 70, 2], Operations: ['21-19=2']
Exploring Operation: 73*2=146, Resulting Numbers: [70, 146]
Generated Node #3: [70, 146] from Operation: 73*2=146
Current State: 76:[70, 146], Operations: ['21-19=2', '73*2=146']
Exploring Operation: 146-70=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
80,
50,
42,
54
] | 62 | [
"54-50=4",
"80/4=20",
"42+20=62"
] | Current State: 62:[80, 50, 42, 54], Operations: []
Exploring Operation: 54-50=4, Resulting Numbers: [80, 42, 4]
Generated Node #2: [80, 42, 4] from Operation: 54-50=4
Current State: 62:[80, 42, 4], Operations: ['54-50=4']
Exploring Operation: 80/4=20, Resulting Numbers: [42, 20]
Generated Node #3: [42, 20] from Operation: 80/4=20
Current State: 62:[42, 20], Operations: ['54-50=4', '80/4=20']
Exploring Operation: 42+20=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
14,
54,
16,
19
] | 89 | [
"16-14=2",
"54*2=108",
"108-19=89"
] | Current State: 89:[14, 54, 16, 19], Operations: []
Exploring Operation: 16-14=2, Resulting Numbers: [54, 19, 2]
Generated Node #2: [54, 19, 2] from Operation: 16-14=2
Current State: 89:[54, 19, 2], Operations: ['16-14=2']
Exploring Operation: 54*2=108, Resulting Numbers: [19, 108]
Generated Node #3: [19, 108] from Operation: 54*2=108
Current State: 89:[19, 108], Operations: ['16-14=2', '54*2=108']
Exploring Operation: 108-19=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
8,
10,
37,
6
] | 84 | [
"8-6=2",
"37*2=74",
"10+74=84"
] | Current State: 84:[8, 10, 37, 6], Operations: []
Exploring Operation: 8-6=2, Resulting Numbers: [10, 37, 2]
Generated Node #2: [10, 37, 2] from Operation: 8-6=2
Current State: 84:[10, 37, 2], Operations: ['8-6=2']
Exploring Operation: 37*2=74, Resulting Numbers: [10, 74]
Generated Node #3: [10, 74] from Operation: 37*2=74
Current State: 84:[10, 74], Operations: ['8-6=2', '37*2=74']
Exploring Operation: 10+74=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
48,
7,
33,
59
] | 46 | [
"48-33=15",
"7*15=105",
"105-59=46"
] | Current State: 46:[48, 7, 33, 59], Operations: []
Exploring Operation: 48-33=15, Resulting Numbers: [7, 59, 15]
Generated Node #2: [7, 59, 15] from Operation: 48-33=15
Current State: 46:[7, 59, 15], Operations: ['48-33=15']
Exploring Operation: 7*15=105, Resulting Numbers: [59, 105]
Generated Node #3: [59, 105] from Operation: 7*15=105
Current State: 46:[59, 105], Operations: ['48-33=15', '7*15=105']
Exploring Operation: 105-59=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
51,
49,
30,
72
] | 57 | [
"51-49=2",
"30/2=15",
"72-15=57"
] | Current State: 57:[51, 49, 30, 72], Operations: []
Exploring Operation: 51-49=2, Resulting Numbers: [30, 72, 2]
Generated Node #2: [30, 72, 2] from Operation: 51-49=2
Current State: 57:[30, 72, 2], Operations: ['51-49=2']
Exploring Operation: 30/2=15, Resulting Numbers: [72, 15]
Generated Node #3: [72, 15] from Operation: 30/2=15
Current State: 57:[72, 15], Operations: ['51-49=2', '30/2=15']
Exploring Operation: 72-15=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
32,
44,
39,
82
] | 31 | [
"44-32=12",
"82-39=43",
"43-12=31"
] | Current State: 31:[32, 44, 39, 82], Operations: []
Exploring Operation: 44-32=12, Resulting Numbers: [39, 82, 12]
Generated Node #2: [39, 82, 12] from Operation: 44-32=12
Current State: 31:[39, 82, 12], Operations: ['44-32=12']
Exploring Operation: 82-39=43, Resulting Numbers: [12, 43]
Generated Node #3: [12, 43] from Operation: 82-39=43
Current State: 31:[12, 43], Operations: ['44-32=12', '82-39=43']
Exploring Operation: 43-12=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
50,
29,
48,
38
] | 24 | [
"29*38=1102",
"50+1102=1152",
"1152/48=24"
] | Current State: 24:[50, 29, 48, 38], Operations: []
Exploring Operation: 29*38=1102, Resulting Numbers: [50, 48, 1102]
Generated Node #2: [50, 48, 1102] from Operation: 29*38=1102
Current State: 24:[50, 48, 1102], Operations: ['29*38=1102']
Exploring Operation: 50+1102=1152, Resulting Numbers: [48, 1152]
Generated Node #3: [48, 1152] from Operation: 50+1102=1152
Current State: 24:[48, 1152], Operations: ['29*38=1102', '50+1102=1152']
Exploring Operation: 1152/48=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
12,
52,
4,
19
] | 20 | [
"12*19=228",
"52*4=208",
"228-208=20"
] | Current State: 20:[12, 52, 4, 19], Operations: []
Exploring Operation: 12*19=228, Resulting Numbers: [52, 4, 228]
Generated Node #2: [52, 4, 228] from Operation: 12*19=228
Current State: 20:[52, 4, 228], Operations: ['12*19=228']
Exploring Operation: 52*4=208, Resulting Numbers: [228, 208]
Generated Node #3: [228, 208] from Operation: 52*4=208
Current State: 20:[228, 208], Operations: ['12*19=228', '52*4=208']
Exploring Operation: 228-208=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
86,
28,
82,
71
] | 47 | [
"86-28=58",
"82-71=11",
"58-11=47"
] | Current State: 47:[86, 28, 82, 71], Operations: []
Exploring Operation: 86-28=58, Resulting Numbers: [82, 71, 58]
Generated Node #2: [82, 71, 58] from Operation: 86-28=58
Current State: 47:[82, 71, 58], Operations: ['86-28=58']
Exploring Operation: 82-71=11, Resulting Numbers: [58, 11]
Generated Node #3: [58, 11] from Operation: 82-71=11
Current State: 47:[58, 11], Operations: ['86-28=58', '82-71=11']
Exploring Operation: 58-11=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
9,
36,
61,
72
] | 79 | [
"36/9=4",
"72/4=18",
"61+18=79"
] | Current State: 79:[9, 36, 61, 72], Operations: []
Exploring Operation: 36/9=4, Resulting Numbers: [61, 72, 4]
Generated Node #2: [61, 72, 4] from Operation: 36/9=4
Current State: 79:[61, 72, 4], Operations: ['36/9=4']
Exploring Operation: 72/4=18, Resulting Numbers: [61, 18]
Generated Node #3: [61, 18] from Operation: 72/4=18
Current State: 79:[61, 18], Operations: ['36/9=4', '72/4=18']
Exploring Operation: 61+18=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
97,
62,
99,
9
] | 69 | [
"97+62=159",
"99-9=90",
"159-90=69"
] | Current State: 69:[97, 62, 99, 9], Operations: []
Exploring Operation: 97+62=159, Resulting Numbers: [99, 9, 159]
Generated Node #2: [99, 9, 159] from Operation: 97+62=159
Current State: 69:[99, 9, 159], Operations: ['97+62=159']
Exploring Operation: 99-9=90, Resulting Numbers: [159, 90]
Generated Node #3: [159, 90] from Operation: 99-9=90
Current State: 69:[159, 90], Operations: ['97+62=159', '99-9=90']
Exploring Operation: 159-90=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
52,
59,
61,
76
] | 26 | [
"52+59=111",
"61+76=137",
"137-111=26"
] | Current State: 26:[52, 59, 61, 76], Operations: []
Exploring Operation: 52+59=111, Resulting Numbers: [61, 76, 111]
Generated Node #2: [61, 76, 111] from Operation: 52+59=111
Current State: 26:[61, 76, 111], Operations: ['52+59=111']
Exploring Operation: 61+76=137, Resulting Numbers: [111, 137]
Generated Node #3: [111, 137] from Operation: 61+76=137
Current State: 26:[111, 137], Operations: ['52+59=111', '61+76=137']
Exploring Operation: 137-111=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
24,
57,
59,
62
] | 65 | [
"62-59=3",
"24/3=8",
"57+8=65"
] | Current State: 65:[24, 57, 59, 62], Operations: []
Exploring Operation: 62-59=3, Resulting Numbers: [24, 57, 3]
Generated Node #2: [24, 57, 3] from Operation: 62-59=3
Current State: 65:[24, 57, 3], Operations: ['62-59=3']
Exploring Operation: 24/3=8, Resulting Numbers: [57, 8]
Generated Node #3: [57, 8] from Operation: 24/3=8
Current State: 65:[57, 8], Operations: ['62-59=3', '24/3=8']
Exploring Operation: 57+8=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
2,
14,
29,
31
] | 48 | [
"14-2=12",
"29+31=60",
"60-12=48"
] | Current State: 48:[2, 14, 29, 31], Operations: []
Exploring Operation: 14-2=12, Resulting Numbers: [29, 31, 12]
Generated Node #2: [29, 31, 12] from Operation: 14-2=12
Current State: 48:[29, 31, 12], Operations: ['14-2=12']
Exploring Operation: 29+31=60, Resulting Numbers: [12, 60]
Generated Node #3: [12, 60] from Operation: 29+31=60
Current State: 48:[12, 60], Operations: ['14-2=12', '29+31=60']
Exploring Operation: 60-12=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
61,
19,
76,
18
] | 52 | [
"61-19=42",
"76+18=94",
"94-42=52"
] | Current State: 52:[61, 19, 76, 18], Operations: []
Exploring Operation: 61-19=42, Resulting Numbers: [76, 18, 42]
Generated Node #2: [76, 18, 42] from Operation: 61-19=42
Current State: 52:[76, 18, 42], Operations: ['61-19=42']
Exploring Operation: 76+18=94, Resulting Numbers: [42, 94]
Generated Node #3: [42, 94] from Operation: 76+18=94
Current State: 52:[42, 94], Operations: ['61-19=42', '76+18=94']
Exploring Operation: 94-42=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
25,
18,
78,
5
] | 91 | [
"25/5=5",
"18+78=96",
"96-5=91"
] | Current State: 91:[25, 18, 78, 5], Operations: []
Exploring Operation: 25/5=5, Resulting Numbers: [18, 78, 5]
Generated Node #2: [18, 78, 5] from Operation: 25/5=5
Current State: 91:[18, 78, 5], Operations: ['25/5=5']
Exploring Operation: 18+78=96, Resulting Numbers: [5, 96]
Generated Node #3: [5, 96] from Operation: 18+78=96
Current State: 91:[5, 96], Operations: ['25/5=5', '18+78=96']
Exploring Operation: 96-5=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
36,
6,
77,
36
] | 70 | [
"36/36=1",
"77-6=71",
"71-1=70"
] | Current State: 70:[36, 6, 77, 36], Operations: []
Exploring Operation: 36/36=1, Resulting Numbers: [6, 77, 1]
Generated Node #2: [6, 77, 1] from Operation: 36/36=1
Current State: 70:[6, 77, 1], Operations: ['36/36=1']
Exploring Operation: 77-6=71, Resulting Numbers: [1, 71]
Generated Node #3: [1, 71] from Operation: 77-6=71
Current State: 70:[1, 71], Operations: ['36/36=1', '77-6=71']
Exploring Operation: 71-1=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
53,
63,
35,
66
] | 85 | [
"53+63=116",
"66-35=31",
"116-31=85"
] | Current State: 85:[53, 63, 35, 66], Operations: []
Exploring Operation: 53+63=116, Resulting Numbers: [35, 66, 116]
Generated Node #2: [35, 66, 116] from Operation: 53+63=116
Current State: 85:[35, 66, 116], Operations: ['53+63=116']
Exploring Operation: 66-35=31, Resulting Numbers: [116, 31]
Generated Node #3: [116, 31] from Operation: 66-35=31
Current State: 85:[116, 31], Operations: ['53+63=116', '66-35=31']
Exploring Operation: 116-31=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
63,
39,
20,
28
] | 84 | [
"63*20=1260",
"1260/28=45",
"39+45=84"
] | Current State: 84:[63, 39, 20, 28], Operations: []
Exploring Operation: 63*20=1260, Resulting Numbers: [39, 28, 1260]
Generated Node #2: [39, 28, 1260] from Operation: 63*20=1260
Current State: 84:[39, 28, 1260], Operations: ['63*20=1260']
Exploring Operation: 1260/28=45, Resulting Numbers: [39, 45]
Generated Node #3: [39, 45] from Operation: 1260/28=45
Current State: 84:[39, 45], Operations: ['63*20=1260', '1260/28=45']
Exploring Operation: 39+45=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
8,
6,
81,
2
] | 91 | [
"8*2=16",
"81-6=75",
"16+75=91"
] | Current State: 91:[8, 6, 81, 2], Operations: []
Exploring Operation: 8*2=16, Resulting Numbers: [6, 81, 16]
Generated Node #2: [6, 81, 16] from Operation: 8*2=16
Current State: 91:[6, 81, 16], Operations: ['8*2=16']
Exploring Operation: 81-6=75, Resulting Numbers: [16, 75]
Generated Node #3: [16, 75] from Operation: 81-6=75
Current State: 91:[16, 75], Operations: ['8*2=16', '81-6=75']
Exploring Operation: 16+75=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
74,
39,
88,
79
] | 54 | [
"74+39=113",
"88+79=167",
"167-113=54"
] | Current State: 54:[74, 39, 88, 79], Operations: []
Exploring Operation: 74+39=113, Resulting Numbers: [88, 79, 113]
Generated Node #2: [88, 79, 113] from Operation: 74+39=113
Current State: 54:[88, 79, 113], Operations: ['74+39=113']
Exploring Operation: 88+79=167, Resulting Numbers: [113, 167]
Generated Node #3: [113, 167] from Operation: 88+79=167
Current State: 54:[113, 167], Operations: ['74+39=113', '88+79=167']
Exploring Operation: 167-113=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
52,
12,
54,
21
] | 18 | [
"54-52=2",
"21-12=9",
"2*9=18"
] | Current State: 18:[52, 12, 54, 21], Operations: []
Exploring Operation: 54-52=2, Resulting Numbers: [12, 21, 2]
Generated Node #2: [12, 21, 2] from Operation: 54-52=2
Current State: 18:[12, 21, 2], Operations: ['54-52=2']
Exploring Operation: 21-12=9, Resulting Numbers: [2, 9]
Generated Node #3: [2, 9] from Operation: 21-12=9
Current State: 18:[2, 9], Operations: ['54-52=2', '21-12=9']
Exploring Operation: 2*9=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
12,
50,
85,
98
] | 50 | [
"12+85=97",
"98-97=1",
"50*1=50"
] | Current State: 50:[12, 50, 85, 98], Operations: []
Exploring Operation: 12+85=97, Resulting Numbers: [50, 98, 97]
Generated Node #2: [50, 98, 97] from Operation: 12+85=97
Current State: 50:[50, 98, 97], Operations: ['12+85=97']
Exploring Operation: 98-97=1, Resulting Numbers: [50, 1]
Generated Node #3: [50, 1] from Operation: 98-97=1
Current State: 50:[50, 1], Operations: ['12+85=97', '98-97=1']
Exploring Operation: 50*1=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
36,
26,
63,
61
] | 23 | [
"63-61=2",
"26/2=13",
"36-13=23"
] | Current State: 23:[36, 26, 63, 61], Operations: []
Exploring Operation: 63-61=2, Resulting Numbers: [36, 26, 2]
Generated Node #2: [36, 26, 2] from Operation: 63-61=2
Current State: 23:[36, 26, 2], Operations: ['63-61=2']
Exploring Operation: 26/2=13, Resulting Numbers: [36, 13]
Generated Node #3: [36, 13] from Operation: 26/2=13
Current State: 23:[36, 13], Operations: ['63-61=2', '26/2=13']
Exploring Operation: 36-13=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
69,
58,
70,
3
] | 35 | [
"69+70=139",
"58*3=174",
"174-139=35"
] | Current State: 35:[69, 58, 70, 3], Operations: []
Exploring Operation: 69+70=139, Resulting Numbers: [58, 3, 139]
Generated Node #2: [58, 3, 139] from Operation: 69+70=139
Current State: 35:[58, 3, 139], Operations: ['69+70=139']
Exploring Operation: 58*3=174, Resulting Numbers: [139, 174]
Generated Node #3: [139, 174] from Operation: 58*3=174
Current State: 35:[139, 174], Operations: ['69+70=139', '58*3=174']
Exploring Operation: 174-139=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
32,
95,
2,
43
] | 73 | [
"43-32=11",
"2*11=22",
"95-22=73"
] | Current State: 73:[32, 95, 2, 43], Operations: []
Exploring Operation: 43-32=11, Resulting Numbers: [95, 2, 11]
Generated Node #2: [95, 2, 11] from Operation: 43-32=11
Current State: 73:[95, 2, 11], Operations: ['43-32=11']
Exploring Operation: 2*11=22, Resulting Numbers: [95, 22]
Generated Node #3: [95, 22] from Operation: 2*11=22
Current State: 73:[95, 22], Operations: ['43-32=11', '2*11=22']
Exploring Operation: 95-22=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
40,
54,
6,
6
] | 90 | [
"54-40=14",
"6*14=84",
"6+84=90"
] | Current State: 90:[40, 54, 6, 6], Operations: []
Exploring Operation: 54-40=14, Resulting Numbers: [6, 6, 14]
Generated Node #2: [6, 6, 14] from Operation: 54-40=14
Current State: 90:[6, 6, 14], Operations: ['54-40=14']
Exploring Operation: 6*14=84, Resulting Numbers: [84]
84,90 equal: Goal Reached
Exploring Operation: 6+84=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
93,
6,
79,
13
] | 93 | [
"6*13=78",
"79-78=1",
"93*1=93"
] | Current State: 93:[93, 6, 79, 13], Operations: []
Exploring Operation: 6*13=78, Resulting Numbers: [93, 79, 78]
Generated Node #2: [93, 79, 78] from Operation: 6*13=78
Current State: 93:[93, 79, 78], Operations: ['6*13=78']
Exploring Operation: 79-78=1, Resulting Numbers: [93, 1]
Generated Node #3: [93, 1] from Operation: 79-78=1
Current State: 93:[93, 1], Operations: ['6*13=78', '79-78=1']
Exploring Operation: 93*1=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
64,
6,
24,
17
] | 90 | [
"64*24=1536",
"1536-6=1530",
"1530/17=90"
] | Current State: 90:[64, 6, 24, 17], Operations: []
Exploring Operation: 64*24=1536, Resulting Numbers: [6, 17, 1536]
Generated Node #2: [6, 17, 1536] from Operation: 64*24=1536
Current State: 90:[6, 17, 1536], Operations: ['64*24=1536']
Exploring Operation: 1536-6=1530, Resulting Numbers: [17, 1530]
Generated Node #3: [17, 1530] from Operation: 1536-6=1530
Current State: 90:[17, 1530], Operations: ['64*24=1536', '1536-6=1530']
Exploring Operation: 1530/17=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
61,
15,
49,
70
] | 73 | [
"61-15=46",
"49+70=119",
"119-46=73"
] | Current State: 73:[61, 15, 49, 70], Operations: []
Exploring Operation: 61-15=46, Resulting Numbers: [49, 70, 46]
Generated Node #2: [49, 70, 46] from Operation: 61-15=46
Current State: 73:[49, 70, 46], Operations: ['61-15=46']
Exploring Operation: 49+70=119, Resulting Numbers: [46, 119]
Generated Node #3: [46, 119] from Operation: 49+70=119
Current State: 73:[46, 119], Operations: ['61-15=46', '49+70=119']
Exploring Operation: 119-46=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
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