nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
2,
61,
26,
22
] | 37 | [
"26+22=48",
"48/2=24",
"61-24=37"
] | Current State: 37:[2, 61, 26, 22], Operations: []
Exploring Operation: 26+22=48, Resulting Numbers: [2, 61, 48]
Generated Node #2: [2, 61, 48] from Operation: 26+22=48
Current State: 37:[2, 61, 48], Operations: ['26+22=48']
Exploring Operation: 48/2=24, Resulting Numbers: [61, 24]
Generated Node #3: [61, 24] from Operation: 48/2=24
Current State: 37:[61, 24], Operations: ['26+22=48', '48/2=24']
Exploring Operation: 61-24=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
47,
5,
11,
25
] | 77 | [
"47-25=22",
"5*11=55",
"22+55=77"
] | Current State: 77:[47, 5, 11, 25], Operations: []
Exploring Operation: 47-25=22, Resulting Numbers: [5, 11, 22]
Generated Node #2: [5, 11, 22] from Operation: 47-25=22
Current State: 77:[5, 11, 22], Operations: ['47-25=22']
Exploring Operation: 5*11=55, Resulting Numbers: [22, 55]
Generated Node #3: [22, 55] from Operation: 5*11=55
Current State: 77:[22, 55], Operations: ['47-25=22', '5*11=55']
Exploring Operation: 22+55=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
5,
25,
10,
2
] | 42 | [
"5+25=30",
"10+2=12",
"30+12=42"
] | Current State: 42:[5, 25, 10, 2], Operations: []
Exploring Operation: 5+25=30, Resulting Numbers: [10, 2, 30]
Generated Node #2: [10, 2, 30] from Operation: 5+25=30
Current State: 42:[10, 2, 30], Operations: ['5+25=30']
Exploring Operation: 10+2=12, Resulting Numbers: [30, 12]
Generated Node #3: [30, 12] from Operation: 10+2=12
Current State: 42:[30, 12], Operations: ['5+25=30', '10+2=12']
Exploring Operation: 30+12=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
82,
58,
76,
54
] | 85 | [
"76-58=18",
"54/18=3",
"82+3=85"
] | Current State: 85:[82, 58, 76, 54], Operations: []
Exploring Operation: 76-58=18, Resulting Numbers: [82, 54, 18]
Generated Node #2: [82, 54, 18] from Operation: 76-58=18
Current State: 85:[82, 54, 18], Operations: ['76-58=18']
Exploring Operation: 54/18=3, Resulting Numbers: [82, 3]
Generated Node #3: [82, 3] from Operation: 54/18=3
Current State: 85:[82, 3], Operations: ['76-58=18', '54/18=3']
Exploring Operation: 82+3=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
20,
44,
42,
66
] | 23 | [
"66-20=46",
"44-42=2",
"46/2=23"
] | Current State: 23:[20, 44, 42, 66], Operations: []
Exploring Operation: 66-20=46, Resulting Numbers: [44, 42, 46]
Generated Node #2: [44, 42, 46] from Operation: 66-20=46
Current State: 23:[44, 42, 46], Operations: ['66-20=46']
Exploring Operation: 44-42=2, Resulting Numbers: [46, 2]
Generated Node #3: [46, 2] from Operation: 44-42=2
Current State: 23:[46, 2], Operations: ['66-20=46', '44-42=2']
Exploring Operation: 46/2=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
92,
27,
27,
13
] | 32 | [
"92-27=65",
"65/13=5",
"27+5=32"
] | Current State: 32:[92, 27, 27, 13], Operations: []
Exploring Operation: 92-27=65, Resulting Numbers: [13, 65]
Generated Node #2: [13, 65] from Operation: 92-27=65
Current State: 32:[13, 65], Operations: ['92-27=65']
Exploring Operation: 65/13=5, Resulting Numbers: [5]
5,32 equal: Goal Reached
Exploring Operation: 27+5=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
62,
4,
16,
3
] | 88 | [
"62*4=248",
"16+248=264",
"264/3=88"
] | Current State: 88:[62, 4, 16, 3], Operations: []
Exploring Operation: 62*4=248, Resulting Numbers: [16, 3, 248]
Generated Node #2: [16, 3, 248] from Operation: 62*4=248
Current State: 88:[16, 3, 248], Operations: ['62*4=248']
Exploring Operation: 16+248=264, Resulting Numbers: [3, 264]
Generated Node #3: [3, 264] from Operation: 16+248=264
Current State: 88:[3, 264], Operations: ['62*4=248', '16+248=264']
Exploring Operation: 264/3=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
74,
83,
7,
33
] | 66 | [
"83-74=9",
"9-7=2",
"33*2=66"
] | Current State: 66:[74, 83, 7, 33], Operations: []
Exploring Operation: 83-74=9, Resulting Numbers: [7, 33, 9]
Generated Node #2: [7, 33, 9] from Operation: 83-74=9
Current State: 66:[7, 33, 9], Operations: ['83-74=9']
Exploring Operation: 9-7=2, Resulting Numbers: [33, 2]
Generated Node #3: [33, 2] from Operation: 9-7=2
Current State: 66:[33, 2], Operations: ['83-74=9', '9-7=2']
Exploring Operation: 33*2=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
32,
8,
33,
63
] | 55 | [
"33-32=1",
"63-8=55",
"1*55=55"
] | Current State: 55:[32, 8, 33, 63], Operations: []
Exploring Operation: 33-32=1, Resulting Numbers: [8, 63, 1]
Generated Node #2: [8, 63, 1] from Operation: 33-32=1
Current State: 55:[8, 63, 1], Operations: ['33-32=1']
Exploring Operation: 63-8=55, Resulting Numbers: [1, 55]
Generated Node #3: [1, 55] from Operation: 63-8=55
Current State: 55:[1, 55], Operations: ['33-32=1', '63-8=55']
Exploring Operation: 1*55=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
54,
20,
72,
56
] | 57 | [
"20+56=76",
"54*76=4104",
"4104/72=57"
] | Current State: 57:[54, 20, 72, 56], Operations: []
Exploring Operation: 20+56=76, Resulting Numbers: [54, 72, 76]
Generated Node #2: [54, 72, 76] from Operation: 20+56=76
Current State: 57:[54, 72, 76], Operations: ['20+56=76']
Exploring Operation: 54*76=4104, Resulting Numbers: [72, 4104]
Generated Node #3: [72, 4104] from Operation: 54*76=4104
Current State: 57:[72, 4104], Operations: ['20+56=76', '54*76=4104']
Exploring Operation: 4104/72=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
13,
50,
87,
37
] | 25 | [
"87-13=74",
"50*37=1850",
"1850/74=25"
] | Current State: 25:[13, 50, 87, 37], Operations: []
Exploring Operation: 87-13=74, Resulting Numbers: [50, 37, 74]
Generated Node #2: [50, 37, 74] from Operation: 87-13=74
Current State: 25:[50, 37, 74], Operations: ['87-13=74']
Exploring Operation: 50*37=1850, Resulting Numbers: [74, 1850]
Generated Node #3: [74, 1850] from Operation: 50*37=1850
Current State: 25:[74, 1850], Operations: ['87-13=74', '50*37=1850']
Exploring Operation: 1850/74=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
95,
2,
66,
41
] | 99 | [
"95-66=29",
"2*29=58",
"41+58=99"
] | Current State: 99:[95, 2, 66, 41], Operations: []
Exploring Operation: 95-66=29, Resulting Numbers: [2, 41, 29]
Generated Node #2: [2, 41, 29] from Operation: 95-66=29
Current State: 99:[2, 41, 29], Operations: ['95-66=29']
Exploring Operation: 2*29=58, Resulting Numbers: [41, 58]
Generated Node #3: [41, 58] from Operation: 2*29=58
Current State: 99:[41, 58], Operations: ['95-66=29', '2*29=58']
Exploring Operation: 41+58=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
35,
43,
94,
17
] | 83 | [
"35*43=1505",
"1505-94=1411",
"1411/17=83"
] | Current State: 83:[35, 43, 94, 17], Operations: []
Exploring Operation: 35*43=1505, Resulting Numbers: [94, 17, 1505]
Generated Node #2: [94, 17, 1505] from Operation: 35*43=1505
Current State: 83:[94, 17, 1505], Operations: ['35*43=1505']
Exploring Operation: 1505-94=1411, Resulting Numbers: [17, 1411]
Generated Node #3: [17, 1411] from Operation: 1505-94=1411
Current State: 83:[17, 1411], Operations: ['35*43=1505', '1505-94=1411']
Exploring Operation: 1411/17=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
37,
26,
76,
72
] | 85 | [
"37+26=63",
"76+72=148",
"148-63=85"
] | Current State: 85:[37, 26, 76, 72], Operations: []
Exploring Operation: 37+26=63, Resulting Numbers: [76, 72, 63]
Generated Node #2: [76, 72, 63] from Operation: 37+26=63
Current State: 85:[76, 72, 63], Operations: ['37+26=63']
Exploring Operation: 76+72=148, Resulting Numbers: [63, 148]
Generated Node #3: [63, 148] from Operation: 76+72=148
Current State: 85:[63, 148], Operations: ['37+26=63', '76+72=148']
Exploring Operation: 148-63=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
35,
45,
11,
12
] | 38 | [
"45-12=33",
"33/11=3",
"35+3=38"
] | Current State: 38:[35, 45, 11, 12], Operations: []
Exploring Operation: 45-12=33, Resulting Numbers: [35, 11, 33]
Generated Node #2: [35, 11, 33] from Operation: 45-12=33
Current State: 38:[35, 11, 33], Operations: ['45-12=33']
Exploring Operation: 33/11=3, Resulting Numbers: [35, 3]
Generated Node #3: [35, 3] from Operation: 33/11=3
Current State: 38:[35, 3], Operations: ['45-12=33', '33/11=3']
Exploring Operation: 35+3=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
1,
92,
8,
9
] | 46 | [
"8-1=7",
"9-7=2",
"92/2=46"
] | Current State: 46:[1, 92, 8, 9], Operations: []
Exploring Operation: 8-1=7, Resulting Numbers: [92, 9, 7]
Generated Node #2: [92, 9, 7] from Operation: 8-1=7
Current State: 46:[92, 9, 7], Operations: ['8-1=7']
Exploring Operation: 9-7=2, Resulting Numbers: [92, 2]
Generated Node #3: [92, 2] from Operation: 9-7=2
Current State: 46:[92, 2], Operations: ['8-1=7', '9-7=2']
Exploring Operation: 92/2=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
89,
23,
33,
56
] | 35 | [
"89+23=112",
"112/56=2",
"33+2=35"
] | Current State: 35:[89, 23, 33, 56], Operations: []
Exploring Operation: 89+23=112, Resulting Numbers: [33, 56, 112]
Generated Node #2: [33, 56, 112] from Operation: 89+23=112
Current State: 35:[33, 56, 112], Operations: ['89+23=112']
Exploring Operation: 112/56=2, Resulting Numbers: [33, 2]
Generated Node #3: [33, 2] from Operation: 112/56=2
Current State: 35:[33, 2], Operations: ['89+23=112', '112/56=2']
Exploring Operation: 33+2=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
25,
17,
67,
25
] | 83 | [
"25/25=1",
"17+67=84",
"84-1=83"
] | Current State: 83:[25, 17, 67, 25], Operations: []
Exploring Operation: 25/25=1, Resulting Numbers: [17, 67, 1]
Generated Node #2: [17, 67, 1] from Operation: 25/25=1
Current State: 83:[17, 67, 1], Operations: ['25/25=1']
Exploring Operation: 17+67=84, Resulting Numbers: [1, 84]
Generated Node #3: [1, 84] from Operation: 17+67=84
Current State: 83:[1, 84], Operations: ['25/25=1', '17+67=84']
Exploring Operation: 84-1=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
85,
80,
65,
3
] | 80 | [
"85-80=5",
"3*5=15",
"65+15=80"
] | Current State: 80:[85, 80, 65, 3], Operations: []
Exploring Operation: 85-80=5, Resulting Numbers: [65, 3, 5]
Generated Node #2: [65, 3, 5] from Operation: 85-80=5
Current State: 80:[65, 3, 5], Operations: ['85-80=5']
Exploring Operation: 3*5=15, Resulting Numbers: [65, 15]
Generated Node #3: [65, 15] from Operation: 3*5=15
Current State: 80:[65, 15], Operations: ['85-80=5', '3*5=15']
Exploring Operation: 65+15=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
69,
80,
72,
75
] | 88 | [
"80*75=6000",
"72+6000=6072",
"6072/69=88"
] | Current State: 88:[69, 80, 72, 75], Operations: []
Exploring Operation: 80*75=6000, Resulting Numbers: [69, 72, 6000]
Generated Node #2: [69, 72, 6000] from Operation: 80*75=6000
Current State: 88:[69, 72, 6000], Operations: ['80*75=6000']
Exploring Operation: 72+6000=6072, Resulting Numbers: [69, 6072]
Generated Node #3: [69, 6072] from Operation: 72+6000=6072
Current State: 88:[69, 6072], Operations: ['80*75=6000', '72+6000=6072']
Exploring Operation: 6072/69=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
62,
26,
65,
16
] | 94 | [
"65-62=3",
"26*3=78",
"16+78=94"
] | Current State: 94:[62, 26, 65, 16], Operations: []
Exploring Operation: 65-62=3, Resulting Numbers: [26, 16, 3]
Generated Node #2: [26, 16, 3] from Operation: 65-62=3
Current State: 94:[26, 16, 3], Operations: ['65-62=3']
Exploring Operation: 26*3=78, Resulting Numbers: [16, 78]
Generated Node #3: [16, 78] from Operation: 26*3=78
Current State: 94:[16, 78], Operations: ['65-62=3', '26*3=78']
Exploring Operation: 16+78=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
6,
16,
64,
41
] | 82 | [
"64/16=4",
"6-4=2",
"41*2=82"
] | Current State: 82:[6, 16, 64, 41], Operations: []
Exploring Operation: 64/16=4, Resulting Numbers: [6, 41, 4]
Generated Node #2: [6, 41, 4] from Operation: 64/16=4
Current State: 82:[6, 41, 4], Operations: ['64/16=4']
Exploring Operation: 6-4=2, Resulting Numbers: [41, 2]
Generated Node #3: [41, 2] from Operation: 6-4=2
Current State: 82:[41, 2], Operations: ['64/16=4', '6-4=2']
Exploring Operation: 41*2=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
84,
17,
15,
26
] | 97 | [
"17-15=2",
"26/2=13",
"84+13=97"
] | Current State: 97:[84, 17, 15, 26], Operations: []
Exploring Operation: 17-15=2, Resulting Numbers: [84, 26, 2]
Generated Node #2: [84, 26, 2] from Operation: 17-15=2
Current State: 97:[84, 26, 2], Operations: ['17-15=2']
Exploring Operation: 26/2=13, Resulting Numbers: [84, 13]
Generated Node #3: [84, 13] from Operation: 26/2=13
Current State: 97:[84, 13], Operations: ['17-15=2', '26/2=13']
Exploring Operation: 84+13=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
17,
90,
71,
62
] | 64 | [
"90-17=73",
"71-62=9",
"73-9=64"
] | Current State: 64:[17, 90, 71, 62], Operations: []
Exploring Operation: 90-17=73, Resulting Numbers: [71, 62, 73]
Generated Node #2: [71, 62, 73] from Operation: 90-17=73
Current State: 64:[71, 62, 73], Operations: ['90-17=73']
Exploring Operation: 71-62=9, Resulting Numbers: [73, 9]
Generated Node #3: [73, 9] from Operation: 71-62=9
Current State: 64:[73, 9], Operations: ['90-17=73', '71-62=9']
Exploring Operation: 73-9=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
11,
2,
66,
11
] | 46 | [
"11-2=9",
"66-11=55",
"55-9=46"
] | Current State: 46:[11, 2, 66, 11], Operations: []
Exploring Operation: 11-2=9, Resulting Numbers: [66, 9]
Generated Node #2: [66, 9] from Operation: 11-2=9
Current State: 46:[66, 9], Operations: ['11-2=9']
Exploring Operation: 66-11=55, Resulting Numbers: [9, 55]
Generated Node #3: [9, 55] from Operation: 66-11=55
Current State: 46:[9, 55], Operations: ['11-2=9', '66-11=55']
Exploring Operation: 55-9=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
68,
60,
77,
4
] | 79 | [
"68-60=8",
"8/4=2",
"77+2=79"
] | Current State: 79:[68, 60, 77, 4], Operations: []
Exploring Operation: 68-60=8, Resulting Numbers: [77, 4, 8]
Generated Node #2: [77, 4, 8] from Operation: 68-60=8
Current State: 79:[77, 4, 8], Operations: ['68-60=8']
Exploring Operation: 8/4=2, Resulting Numbers: [77, 2]
Generated Node #3: [77, 2] from Operation: 8/4=2
Current State: 79:[77, 2], Operations: ['68-60=8', '8/4=2']
Exploring Operation: 77+2=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
80,
21,
47,
99
] | 49 | [
"80+21=101",
"99-47=52",
"101-52=49"
] | Current State: 49:[80, 21, 47, 99], Operations: []
Exploring Operation: 80+21=101, Resulting Numbers: [47, 99, 101]
Generated Node #2: [47, 99, 101] from Operation: 80+21=101
Current State: 49:[47, 99, 101], Operations: ['80+21=101']
Exploring Operation: 99-47=52, Resulting Numbers: [101, 52]
Generated Node #3: [101, 52] from Operation: 99-47=52
Current State: 49:[101, 52], Operations: ['80+21=101', '99-47=52']
Exploring Operation: 101-52=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
58,
8,
77,
80
] | 28 | [
"80-58=22",
"8*77=616",
"616/22=28"
] | Current State: 28:[58, 8, 77, 80], Operations: []
Exploring Operation: 80-58=22, Resulting Numbers: [8, 77, 22]
Generated Node #2: [8, 77, 22] from Operation: 80-58=22
Current State: 28:[8, 77, 22], Operations: ['80-58=22']
Exploring Operation: 8*77=616, Resulting Numbers: [22, 616]
Generated Node #3: [22, 616] from Operation: 8*77=616
Current State: 28:[22, 616], Operations: ['80-58=22', '8*77=616']
Exploring Operation: 616/22=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
64,
66,
68,
63
] | 31 | [
"68-66=2",
"64/2=32",
"63-32=31"
] | Current State: 31:[64, 66, 68, 63], Operations: []
Exploring Operation: 68-66=2, Resulting Numbers: [64, 63, 2]
Generated Node #2: [64, 63, 2] from Operation: 68-66=2
Current State: 31:[64, 63, 2], Operations: ['68-66=2']
Exploring Operation: 64/2=32, Resulting Numbers: [63, 32]
Generated Node #3: [63, 32] from Operation: 64/2=32
Current State: 31:[63, 32], Operations: ['68-66=2', '64/2=32']
Exploring Operation: 63-32=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
67,
71,
76,
42
] | 20 | [
"67+71=138",
"76+42=118",
"138-118=20"
] | Current State: 20:[67, 71, 76, 42], Operations: []
Exploring Operation: 67+71=138, Resulting Numbers: [76, 42, 138]
Generated Node #2: [76, 42, 138] from Operation: 67+71=138
Current State: 20:[76, 42, 138], Operations: ['67+71=138']
Exploring Operation: 76+42=118, Resulting Numbers: [138, 118]
Generated Node #3: [138, 118] from Operation: 76+42=118
Current State: 20:[138, 118], Operations: ['67+71=138', '76+42=118']
Exploring Operation: 138-118=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
97,
39,
35,
64
] | 37 | [
"97+39=136",
"35+64=99",
"136-99=37"
] | Current State: 37:[97, 39, 35, 64], Operations: []
Exploring Operation: 97+39=136, Resulting Numbers: [35, 64, 136]
Generated Node #2: [35, 64, 136] from Operation: 97+39=136
Current State: 37:[35, 64, 136], Operations: ['97+39=136']
Exploring Operation: 35+64=99, Resulting Numbers: [136, 99]
Generated Node #3: [136, 99] from Operation: 35+64=99
Current State: 37:[136, 99], Operations: ['97+39=136', '35+64=99']
Exploring Operation: 136-99=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
28,
50,
51,
93
] | 20 | [
"50-28=22",
"93-51=42",
"42-22=20"
] | Current State: 20:[28, 50, 51, 93], Operations: []
Exploring Operation: 50-28=22, Resulting Numbers: [51, 93, 22]
Generated Node #2: [51, 93, 22] from Operation: 50-28=22
Current State: 20:[51, 93, 22], Operations: ['50-28=22']
Exploring Operation: 93-51=42, Resulting Numbers: [22, 42]
Generated Node #3: [22, 42] from Operation: 93-51=42
Current State: 20:[22, 42], Operations: ['50-28=22', '93-51=42']
Exploring Operation: 42-22=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
6,
9,
22,
79
] | 11 | [
"22-9=13",
"79-13=66",
"66/6=11"
] | Current State: 11:[6, 9, 22, 79], Operations: []
Exploring Operation: 22-9=13, Resulting Numbers: [6, 79, 13]
Generated Node #2: [6, 79, 13] from Operation: 22-9=13
Current State: 11:[6, 79, 13], Operations: ['22-9=13']
Exploring Operation: 79-13=66, Resulting Numbers: [6, 66]
Generated Node #3: [6, 66] from Operation: 79-13=66
Current State: 11:[6, 66], Operations: ['22-9=13', '79-13=66']
Exploring Operation: 66/6=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
84,
54,
21,
19
] | 28 | [
"84-54=30",
"21-19=2",
"30-2=28"
] | Current State: 28:[84, 54, 21, 19], Operations: []
Exploring Operation: 84-54=30, Resulting Numbers: [21, 19, 30]
Generated Node #2: [21, 19, 30] from Operation: 84-54=30
Current State: 28:[21, 19, 30], Operations: ['84-54=30']
Exploring Operation: 21-19=2, Resulting Numbers: [30, 2]
Generated Node #3: [30, 2] from Operation: 21-19=2
Current State: 28:[30, 2], Operations: ['84-54=30', '21-19=2']
Exploring Operation: 30-2=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
5,
77,
70,
18
] | 53 | [
"77-70=7",
"5*7=35",
"18+35=53"
] | Current State: 53:[5, 77, 70, 18], Operations: []
Exploring Operation: 77-70=7, Resulting Numbers: [5, 18, 7]
Generated Node #2: [5, 18, 7] from Operation: 77-70=7
Current State: 53:[5, 18, 7], Operations: ['77-70=7']
Exploring Operation: 5*7=35, Resulting Numbers: [18, 35]
Generated Node #3: [18, 35] from Operation: 5*7=35
Current State: 53:[18, 35], Operations: ['77-70=7', '5*7=35']
Exploring Operation: 18+35=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
10,
36,
91,
96
] | 34 | [
"96-91=5",
"10/5=2",
"36-2=34"
] | Current State: 34:[10, 36, 91, 96], Operations: []
Exploring Operation: 96-91=5, Resulting Numbers: [10, 36, 5]
Generated Node #2: [10, 36, 5] from Operation: 96-91=5
Current State: 34:[10, 36, 5], Operations: ['96-91=5']
Exploring Operation: 10/5=2, Resulting Numbers: [36, 2]
Generated Node #3: [36, 2] from Operation: 10/5=2
Current State: 34:[36, 2], Operations: ['96-91=5', '10/5=2']
Exploring Operation: 36-2=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
68,
23,
90,
44
] | 21 | [
"90-68=22",
"44/22=2",
"23-2=21"
] | Current State: 21:[68, 23, 90, 44], Operations: []
Exploring Operation: 90-68=22, Resulting Numbers: [23, 44, 22]
Generated Node #2: [23, 44, 22] from Operation: 90-68=22
Current State: 21:[23, 44, 22], Operations: ['90-68=22']
Exploring Operation: 44/22=2, Resulting Numbers: [23, 2]
Generated Node #3: [23, 2] from Operation: 44/22=2
Current State: 21:[23, 2], Operations: ['90-68=22', '44/22=2']
Exploring Operation: 23-2=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
44,
85,
37,
33
] | 37 | [
"85-44=41",
"37-33=4",
"41-4=37"
] | Current State: 37:[44, 85, 37, 33], Operations: []
Exploring Operation: 85-44=41, Resulting Numbers: [37, 33, 41]
Generated Node #2: [37, 33, 41] from Operation: 85-44=41
Current State: 37:[37, 33, 41], Operations: ['85-44=41']
Exploring Operation: 37-33=4, Resulting Numbers: [41, 4]
Generated Node #3: [41, 4] from Operation: 37-33=4
Current State: 37:[41, 4], Operations: ['85-44=41', '37-33=4']
Exploring Operation: 41-4=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
55,
70,
27,
8
] | 50 | [
"70-55=15",
"27+8=35",
"15+35=50"
] | Current State: 50:[55, 70, 27, 8], Operations: []
Exploring Operation: 70-55=15, Resulting Numbers: [27, 8, 15]
Generated Node #2: [27, 8, 15] from Operation: 70-55=15
Current State: 50:[27, 8, 15], Operations: ['70-55=15']
Exploring Operation: 27+8=35, Resulting Numbers: [15, 35]
Generated Node #3: [15, 35] from Operation: 27+8=35
Current State: 50:[15, 35], Operations: ['70-55=15', '27+8=35']
Exploring Operation: 15+35=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
40,
42,
1,
44
] | 44 | [
"42-40=2",
"2-1=1",
"44*1=44"
] | Current State: 44:[40, 42, 1, 44], Operations: []
Exploring Operation: 42-40=2, Resulting Numbers: [1, 44, 2]
Generated Node #2: [1, 44, 2] from Operation: 42-40=2
Current State: 44:[1, 44, 2], Operations: ['42-40=2']
Exploring Operation: 2-1=1, Resulting Numbers: [44, 1]
Generated Node #3: [44, 1] from Operation: 2-1=1
Current State: 44:[44, 1], Operations: ['42-40=2', '2-1=1']
Exploring Operation: 44*1=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
16,
20,
55,
76
] | 36 | [
"20-16=4",
"76/4=19",
"55-19=36"
] | Current State: 36:[16, 20, 55, 76], Operations: []
Exploring Operation: 20-16=4, Resulting Numbers: [55, 76, 4]
Generated Node #2: [55, 76, 4] from Operation: 20-16=4
Current State: 36:[55, 76, 4], Operations: ['20-16=4']
Exploring Operation: 76/4=19, Resulting Numbers: [55, 19]
Generated Node #3: [55, 19] from Operation: 76/4=19
Current State: 36:[55, 19], Operations: ['20-16=4', '76/4=19']
Exploring Operation: 55-19=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
10,
34,
8,
12
] | 15 | [
"34-10=24",
"24/8=3",
"12+3=15"
] | Current State: 15:[10, 34, 8, 12], Operations: []
Exploring Operation: 34-10=24, Resulting Numbers: [8, 12, 24]
Generated Node #2: [8, 12, 24] from Operation: 34-10=24
Current State: 15:[8, 12, 24], Operations: ['34-10=24']
Exploring Operation: 24/8=3, Resulting Numbers: [12, 3]
Generated Node #3: [12, 3] from Operation: 24/8=3
Current State: 15:[12, 3], Operations: ['34-10=24', '24/8=3']
Exploring Operation: 12+3=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
23,
77,
9,
6
] | 69 | [
"77-23=54",
"9+6=15",
"54+15=69"
] | Current State: 69:[23, 77, 9, 6], Operations: []
Exploring Operation: 77-23=54, Resulting Numbers: [9, 6, 54]
Generated Node #2: [9, 6, 54] from Operation: 77-23=54
Current State: 69:[9, 6, 54], Operations: ['77-23=54']
Exploring Operation: 9+6=15, Resulting Numbers: [54, 15]
Generated Node #3: [54, 15] from Operation: 9+6=15
Current State: 69:[54, 15], Operations: ['77-23=54', '9+6=15']
Exploring Operation: 54+15=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
18,
3,
20,
2
] | 52 | [
"18/3=6",
"20+6=26",
"2*26=52"
] | Current State: 52:[18, 3, 20, 2], Operations: []
Exploring Operation: 18/3=6, Resulting Numbers: [20, 2, 6]
Generated Node #2: [20, 2, 6] from Operation: 18/3=6
Current State: 52:[20, 2, 6], Operations: ['18/3=6']
Exploring Operation: 20+6=26, Resulting Numbers: [2, 26]
Generated Node #3: [2, 26] from Operation: 20+6=26
Current State: 52:[2, 26], Operations: ['18/3=6', '20+6=26']
Exploring Operation: 2*26=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
32,
22,
28,
30
] | 86 | [
"30-28=2",
"32*2=64",
"22+64=86"
] | Current State: 86:[32, 22, 28, 30], Operations: []
Exploring Operation: 30-28=2, Resulting Numbers: [32, 22, 2]
Generated Node #2: [32, 22, 2] from Operation: 30-28=2
Current State: 86:[32, 22, 2], Operations: ['30-28=2']
Exploring Operation: 32*2=64, Resulting Numbers: [22, 64]
Generated Node #3: [22, 64] from Operation: 32*2=64
Current State: 86:[22, 64], Operations: ['30-28=2', '32*2=64']
Exploring Operation: 22+64=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
4,
33,
14,
59
] | 99 | [
"4*14=56",
"59-56=3",
"33*3=99"
] | Current State: 99:[4, 33, 14, 59], Operations: []
Exploring Operation: 4*14=56, Resulting Numbers: [33, 59, 56]
Generated Node #2: [33, 59, 56] from Operation: 4*14=56
Current State: 99:[33, 59, 56], Operations: ['4*14=56']
Exploring Operation: 59-56=3, Resulting Numbers: [33, 3]
Generated Node #3: [33, 3] from Operation: 59-56=3
Current State: 99:[33, 3], Operations: ['4*14=56', '59-56=3']
Exploring Operation: 33*3=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
90,
25,
10,
14
] | 90 | [
"25-10=15",
"15-14=1",
"90*1=90"
] | Current State: 90:[90, 25, 10, 14], Operations: []
Exploring Operation: 25-10=15, Resulting Numbers: [90, 14, 15]
Generated Node #2: [90, 14, 15] from Operation: 25-10=15
Current State: 90:[90, 14, 15], Operations: ['25-10=15']
Exploring Operation: 15-14=1, Resulting Numbers: [90, 1]
Generated Node #3: [90, 1] from Operation: 15-14=1
Current State: 90:[90, 1], Operations: ['25-10=15', '15-14=1']
Exploring Operation: 90*1=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
62,
78,
94,
61
] | 59 | [
"62+94=156",
"156/78=2",
"61-2=59"
] | Current State: 59:[62, 78, 94, 61], Operations: []
Exploring Operation: 62+94=156, Resulting Numbers: [78, 61, 156]
Generated Node #2: [78, 61, 156] from Operation: 62+94=156
Current State: 59:[78, 61, 156], Operations: ['62+94=156']
Exploring Operation: 156/78=2, Resulting Numbers: [61, 2]
Generated Node #3: [61, 2] from Operation: 156/78=2
Current State: 59:[61, 2], Operations: ['62+94=156', '156/78=2']
Exploring Operation: 61-2=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
80,
43,
78,
34
] | 18 | [
"80-78=2",
"43-34=9",
"2*9=18"
] | Current State: 18:[80, 43, 78, 34], Operations: []
Exploring Operation: 80-78=2, Resulting Numbers: [43, 34, 2]
Generated Node #2: [43, 34, 2] from Operation: 80-78=2
Current State: 18:[43, 34, 2], Operations: ['80-78=2']
Exploring Operation: 43-34=9, Resulting Numbers: [2, 9]
Generated Node #3: [2, 9] from Operation: 43-34=9
Current State: 18:[2, 9], Operations: ['80-78=2', '43-34=9']
Exploring Operation: 2*9=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
36,
47,
9,
20
] | 97 | [
"36+47=83",
"9*20=180",
"180-83=97"
] | Current State: 97:[36, 47, 9, 20], Operations: []
Exploring Operation: 36+47=83, Resulting Numbers: [9, 20, 83]
Generated Node #2: [9, 20, 83] from Operation: 36+47=83
Current State: 97:[9, 20, 83], Operations: ['36+47=83']
Exploring Operation: 9*20=180, Resulting Numbers: [83, 180]
Generated Node #3: [83, 180] from Operation: 9*20=180
Current State: 97:[83, 180], Operations: ['36+47=83', '9*20=180']
Exploring Operation: 180-83=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
97,
53,
25,
48
] | 54 | [
"97+53=150",
"150/25=6",
"48+6=54"
] | Current State: 54:[97, 53, 25, 48], Operations: []
Exploring Operation: 97+53=150, Resulting Numbers: [25, 48, 150]
Generated Node #2: [25, 48, 150] from Operation: 97+53=150
Current State: 54:[25, 48, 150], Operations: ['97+53=150']
Exploring Operation: 150/25=6, Resulting Numbers: [48, 6]
Generated Node #3: [48, 6] from Operation: 150/25=6
Current State: 54:[48, 6], Operations: ['97+53=150', '150/25=6']
Exploring Operation: 48+6=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
29,
67,
19,
62
] | 99 | [
"29*67=1943",
"1943-62=1881",
"1881/19=99"
] | Current State: 99:[29, 67, 19, 62], Operations: []
Exploring Operation: 29*67=1943, Resulting Numbers: [19, 62, 1943]
Generated Node #2: [19, 62, 1943] from Operation: 29*67=1943
Current State: 99:[19, 62, 1943], Operations: ['29*67=1943']
Exploring Operation: 1943-62=1881, Resulting Numbers: [19, 1881]
Generated Node #3: [19, 1881] from Operation: 1943-62=1881
Current State: 99:[19, 1881], Operations: ['29*67=1943', '1943-62=1881']
Exploring Operation: 1881/19=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
23,
44,
4,
81
] | 16 | [
"4*81=324",
"44+324=368",
"368/23=16"
] | Current State: 16:[23, 44, 4, 81], Operations: []
Exploring Operation: 4*81=324, Resulting Numbers: [23, 44, 324]
Generated Node #2: [23, 44, 324] from Operation: 4*81=324
Current State: 16:[23, 44, 324], Operations: ['4*81=324']
Exploring Operation: 44+324=368, Resulting Numbers: [23, 368]
Generated Node #3: [23, 368] from Operation: 44+324=368
Current State: 16:[23, 368], Operations: ['4*81=324', '44+324=368']
Exploring Operation: 368/23=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
47,
2,
4,
77
] | 38 | [
"77-47=30",
"2*4=8",
"30+8=38"
] | Current State: 38:[47, 2, 4, 77], Operations: []
Exploring Operation: 77-47=30, Resulting Numbers: [2, 4, 30]
Generated Node #2: [2, 4, 30] from Operation: 77-47=30
Current State: 38:[2, 4, 30], Operations: ['77-47=30']
Exploring Operation: 2*4=8, Resulting Numbers: [30, 8]
Generated Node #3: [30, 8] from Operation: 2*4=8
Current State: 38:[30, 8], Operations: ['77-47=30', '2*4=8']
Exploring Operation: 30+8=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
76,
53,
85,
38
] | 70 | [
"76-53=23",
"85-38=47",
"23+47=70"
] | Current State: 70:[76, 53, 85, 38], Operations: []
Exploring Operation: 76-53=23, Resulting Numbers: [85, 38, 23]
Generated Node #2: [85, 38, 23] from Operation: 76-53=23
Current State: 70:[85, 38, 23], Operations: ['76-53=23']
Exploring Operation: 85-38=47, Resulting Numbers: [23, 47]
Generated Node #3: [23, 47] from Operation: 85-38=47
Current State: 70:[23, 47], Operations: ['76-53=23', '85-38=47']
Exploring Operation: 23+47=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
42,
26,
63,
2
] | 78 | [
"42/2=21",
"26*63=1638",
"1638/21=78"
] | Current State: 78:[42, 26, 63, 2], Operations: []
Exploring Operation: 42/2=21, Resulting Numbers: [26, 63, 21]
Generated Node #2: [26, 63, 21] from Operation: 42/2=21
Current State: 78:[26, 63, 21], Operations: ['42/2=21']
Exploring Operation: 26*63=1638, Resulting Numbers: [21, 1638]
Generated Node #3: [21, 1638] from Operation: 26*63=1638
Current State: 78:[21, 1638], Operations: ['42/2=21', '26*63=1638']
Exploring Operation: 1638/21=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
9,
87,
95,
33
] | 16 | [
"87-9=78",
"95-33=62",
"78-62=16"
] | Current State: 16:[9, 87, 95, 33], Operations: []
Exploring Operation: 87-9=78, Resulting Numbers: [95, 33, 78]
Generated Node #2: [95, 33, 78] from Operation: 87-9=78
Current State: 16:[95, 33, 78], Operations: ['87-9=78']
Exploring Operation: 95-33=62, Resulting Numbers: [78, 62]
Generated Node #3: [78, 62] from Operation: 95-33=62
Current State: 16:[78, 62], Operations: ['87-9=78', '95-33=62']
Exploring Operation: 78-62=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
29,
50,
41,
81
] | 19 | [
"50-29=21",
"81-41=40",
"40-21=19"
] | Current State: 19:[29, 50, 41, 81], Operations: []
Exploring Operation: 50-29=21, Resulting Numbers: [41, 81, 21]
Generated Node #2: [41, 81, 21] from Operation: 50-29=21
Current State: 19:[41, 81, 21], Operations: ['50-29=21']
Exploring Operation: 81-41=40, Resulting Numbers: [21, 40]
Generated Node #3: [21, 40] from Operation: 81-41=40
Current State: 19:[21, 40], Operations: ['50-29=21', '81-41=40']
Exploring Operation: 40-21=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
12,
22,
8,
19
] | 36 | [
"22-19=3",
"8*3=24",
"12+24=36"
] | Current State: 36:[12, 22, 8, 19], Operations: []
Exploring Operation: 22-19=3, Resulting Numbers: [12, 8, 3]
Generated Node #2: [12, 8, 3] from Operation: 22-19=3
Current State: 36:[12, 8, 3], Operations: ['22-19=3']
Exploring Operation: 8*3=24, Resulting Numbers: [12, 24]
Generated Node #3: [12, 24] from Operation: 8*3=24
Current State: 36:[12, 24], Operations: ['22-19=3', '8*3=24']
Exploring Operation: 12+24=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
15,
49,
4,
70
] | 39 | [
"15*4=60",
"70-49=21",
"60-21=39"
] | Current State: 39:[15, 49, 4, 70], Operations: []
Exploring Operation: 15*4=60, Resulting Numbers: [49, 70, 60]
Generated Node #2: [49, 70, 60] from Operation: 15*4=60
Current State: 39:[49, 70, 60], Operations: ['15*4=60']
Exploring Operation: 70-49=21, Resulting Numbers: [60, 21]
Generated Node #3: [60, 21] from Operation: 70-49=21
Current State: 39:[60, 21], Operations: ['15*4=60', '70-49=21']
Exploring Operation: 60-21=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
26,
53,
85,
1
] | 87 | [
"53-1=52",
"52/26=2",
"85+2=87"
] | Current State: 87:[26, 53, 85, 1], Operations: []
Exploring Operation: 53-1=52, Resulting Numbers: [26, 85, 52]
Generated Node #2: [26, 85, 52] from Operation: 53-1=52
Current State: 87:[26, 85, 52], Operations: ['53-1=52']
Exploring Operation: 52/26=2, Resulting Numbers: [85, 2]
Generated Node #3: [85, 2] from Operation: 52/26=2
Current State: 87:[85, 2], Operations: ['53-1=52', '52/26=2']
Exploring Operation: 85+2=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
23,
16,
69,
45
] | 32 | [
"69/23=3",
"45-16=29",
"3+29=32"
] | Current State: 32:[23, 16, 69, 45], Operations: []
Exploring Operation: 69/23=3, Resulting Numbers: [16, 45, 3]
Generated Node #2: [16, 45, 3] from Operation: 69/23=3
Current State: 32:[16, 45, 3], Operations: ['69/23=3']
Exploring Operation: 45-16=29, Resulting Numbers: [3, 29]
Generated Node #3: [3, 29] from Operation: 45-16=29
Current State: 32:[3, 29], Operations: ['69/23=3', '45-16=29']
Exploring Operation: 3+29=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
31,
35,
8,
90
] | 45 | [
"35-31=4",
"8/4=2",
"90/2=45"
] | Current State: 45:[31, 35, 8, 90], Operations: []
Exploring Operation: 35-31=4, Resulting Numbers: [8, 90, 4]
Generated Node #2: [8, 90, 4] from Operation: 35-31=4
Current State: 45:[8, 90, 4], Operations: ['35-31=4']
Exploring Operation: 8/4=2, Resulting Numbers: [90, 2]
Generated Node #3: [90, 2] from Operation: 8/4=2
Current State: 45:[90, 2], Operations: ['35-31=4', '8/4=2']
Exploring Operation: 90/2=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
20,
93,
48,
15
] | 23 | [
"93-48=45",
"45/15=3",
"20+3=23"
] | Current State: 23:[20, 93, 48, 15], Operations: []
Exploring Operation: 93-48=45, Resulting Numbers: [20, 15, 45]
Generated Node #2: [20, 15, 45] from Operation: 93-48=45
Current State: 23:[20, 15, 45], Operations: ['93-48=45']
Exploring Operation: 45/15=3, Resulting Numbers: [20, 3]
Generated Node #3: [20, 3] from Operation: 45/15=3
Current State: 23:[20, 3], Operations: ['93-48=45', '45/15=3']
Exploring Operation: 20+3=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
85,
18,
42,
63
] | 38 | [
"85-18=67",
"42+63=105",
"105-67=38"
] | Current State: 38:[85, 18, 42, 63], Operations: []
Exploring Operation: 85-18=67, Resulting Numbers: [42, 63, 67]
Generated Node #2: [42, 63, 67] from Operation: 85-18=67
Current State: 38:[42, 63, 67], Operations: ['85-18=67']
Exploring Operation: 42+63=105, Resulting Numbers: [67, 105]
Generated Node #3: [67, 105] from Operation: 42+63=105
Current State: 38:[67, 105], Operations: ['85-18=67', '42+63=105']
Exploring Operation: 105-67=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
60,
12,
62,
29
] | 23 | [
"62-60=2",
"12/2=6",
"29-6=23"
] | Current State: 23:[60, 12, 62, 29], Operations: []
Exploring Operation: 62-60=2, Resulting Numbers: [12, 29, 2]
Generated Node #2: [12, 29, 2] from Operation: 62-60=2
Current State: 23:[12, 29, 2], Operations: ['62-60=2']
Exploring Operation: 12/2=6, Resulting Numbers: [29, 6]
Generated Node #3: [29, 6] from Operation: 12/2=6
Current State: 23:[29, 6], Operations: ['62-60=2', '12/2=6']
Exploring Operation: 29-6=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
5,
29,
89,
62
] | 50 | [
"89-29=60",
"60/5=12",
"62-12=50"
] | Current State: 50:[5, 29, 89, 62], Operations: []
Exploring Operation: 89-29=60, Resulting Numbers: [5, 62, 60]
Generated Node #2: [5, 62, 60] from Operation: 89-29=60
Current State: 50:[5, 62, 60], Operations: ['89-29=60']
Exploring Operation: 60/5=12, Resulting Numbers: [62, 12]
Generated Node #3: [62, 12] from Operation: 60/5=12
Current State: 50:[62, 12], Operations: ['89-29=60', '60/5=12']
Exploring Operation: 62-12=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
63,
3,
10,
32
] | 82 | [
"63-3=60",
"32-10=22",
"60+22=82"
] | Current State: 82:[63, 3, 10, 32], Operations: []
Exploring Operation: 63-3=60, Resulting Numbers: [10, 32, 60]
Generated Node #2: [10, 32, 60] from Operation: 63-3=60
Current State: 82:[10, 32, 60], Operations: ['63-3=60']
Exploring Operation: 32-10=22, Resulting Numbers: [60, 22]
Generated Node #3: [60, 22] from Operation: 32-10=22
Current State: 82:[60, 22], Operations: ['63-3=60', '32-10=22']
Exploring Operation: 60+22=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
10,
33,
40,
9
] | 72 | [
"33-10=23",
"40+9=49",
"23+49=72"
] | Current State: 72:[10, 33, 40, 9], Operations: []
Exploring Operation: 33-10=23, Resulting Numbers: [40, 9, 23]
Generated Node #2: [40, 9, 23] from Operation: 33-10=23
Current State: 72:[40, 9, 23], Operations: ['33-10=23']
Exploring Operation: 40+9=49, Resulting Numbers: [23, 49]
Generated Node #3: [23, 49] from Operation: 40+9=49
Current State: 72:[23, 49], Operations: ['33-10=23', '40+9=49']
Exploring Operation: 23+49=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
81,
52,
23,
59
] | 51 | [
"81+52=133",
"23+59=82",
"133-82=51"
] | Current State: 51:[81, 52, 23, 59], Operations: []
Exploring Operation: 81+52=133, Resulting Numbers: [23, 59, 133]
Generated Node #2: [23, 59, 133] from Operation: 81+52=133
Current State: 51:[23, 59, 133], Operations: ['81+52=133']
Exploring Operation: 23+59=82, Resulting Numbers: [133, 82]
Generated Node #3: [133, 82] from Operation: 23+59=82
Current State: 51:[133, 82], Operations: ['81+52=133', '23+59=82']
Exploring Operation: 133-82=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
18,
27,
66,
46
] | 90 | [
"18*66=1188",
"1188/27=44",
"46+44=90"
] | Current State: 90:[18, 27, 66, 46], Operations: []
Exploring Operation: 18*66=1188, Resulting Numbers: [27, 46, 1188]
Generated Node #2: [27, 46, 1188] from Operation: 18*66=1188
Current State: 90:[27, 46, 1188], Operations: ['18*66=1188']
Exploring Operation: 1188/27=44, Resulting Numbers: [46, 44]
Generated Node #3: [46, 44] from Operation: 1188/27=44
Current State: 90:[46, 44], Operations: ['18*66=1188', '1188/27=44']
Exploring Operation: 46+44=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
61,
7,
66,
30
] | 18 | [
"61-7=54",
"66-30=36",
"54-36=18"
] | Current State: 18:[61, 7, 66, 30], Operations: []
Exploring Operation: 61-7=54, Resulting Numbers: [66, 30, 54]
Generated Node #2: [66, 30, 54] from Operation: 61-7=54
Current State: 18:[66, 30, 54], Operations: ['61-7=54']
Exploring Operation: 66-30=36, Resulting Numbers: [54, 36]
Generated Node #3: [54, 36] from Operation: 66-30=36
Current State: 18:[54, 36], Operations: ['61-7=54', '66-30=36']
Exploring Operation: 54-36=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
3,
80,
86,
71
] | 83 | [
"3*80=240",
"86+71=157",
"240-157=83"
] | Current State: 83:[3, 80, 86, 71], Operations: []
Exploring Operation: 3*80=240, Resulting Numbers: [86, 71, 240]
Generated Node #2: [86, 71, 240] from Operation: 3*80=240
Current State: 83:[86, 71, 240], Operations: ['3*80=240']
Exploring Operation: 86+71=157, Resulting Numbers: [240, 157]
Generated Node #3: [240, 157] from Operation: 86+71=157
Current State: 83:[240, 157], Operations: ['3*80=240', '86+71=157']
Exploring Operation: 240-157=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
20,
4,
43,
22
] | 51 | [
"22-20=2",
"4*2=8",
"43+8=51"
] | Current State: 51:[20, 4, 43, 22], Operations: []
Exploring Operation: 22-20=2, Resulting Numbers: [4, 43, 2]
Generated Node #2: [4, 43, 2] from Operation: 22-20=2
Current State: 51:[4, 43, 2], Operations: ['22-20=2']
Exploring Operation: 4*2=8, Resulting Numbers: [43, 8]
Generated Node #3: [43, 8] from Operation: 4*2=8
Current State: 51:[43, 8], Operations: ['22-20=2', '4*2=8']
Exploring Operation: 43+8=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
26,
11,
16,
10
] | 100 | [
"26-16=10",
"11*10=110",
"110-10=100"
] | Current State: 100:[26, 11, 16, 10], Operations: []
Exploring Operation: 26-16=10, Resulting Numbers: [11, 10, 10]
Generated Node #2: [11, 10, 10] from Operation: 26-16=10
Current State: 100:[11, 10, 10], Operations: ['26-16=10']
Exploring Operation: 11*10=110, Resulting Numbers: [110]
110,100 equal: Goal Reached
Exploring Operation: 110-10=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
96,
88,
96,
87
] | 99 | [
"96-88=8",
"96/8=12",
"87+12=99"
] | Current State: 99:[96, 88, 96, 87], Operations: []
Exploring Operation: 96-88=8, Resulting Numbers: [87, 8]
Generated Node #2: [87, 8] from Operation: 96-88=8
Current State: 99:[87, 8], Operations: ['96-88=8']
Exploring Operation: 96/8=12, Resulting Numbers: [87, 12]
Generated Node #3: [87, 12] from Operation: 96/8=12
Current State: 99:[87, 12], Operations: ['96-88=8', '96/8=12']
Exploring Operation: 87+12=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
51,
14,
88,
1
] | 22 | [
"51+14=65",
"88-1=87",
"87-65=22"
] | Current State: 22:[51, 14, 88, 1], Operations: []
Exploring Operation: 51+14=65, Resulting Numbers: [88, 1, 65]
Generated Node #2: [88, 1, 65] from Operation: 51+14=65
Current State: 22:[88, 1, 65], Operations: ['51+14=65']
Exploring Operation: 88-1=87, Resulting Numbers: [65, 87]
Generated Node #3: [65, 87] from Operation: 88-1=87
Current State: 22:[65, 87], Operations: ['51+14=65', '88-1=87']
Exploring Operation: 87-65=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
81,
18,
54,
66
] | 45 | [
"81-66=15",
"54/18=3",
"15*3=45"
] | Current State: 45:[81, 18, 54, 66], Operations: []
Exploring Operation: 81-66=15, Resulting Numbers: [18, 54, 15]
Generated Node #2: [18, 54, 15] from Operation: 81-66=15
Current State: 45:[18, 54, 15], Operations: ['81-66=15']
Exploring Operation: 54/18=3, Resulting Numbers: [15, 3]
Generated Node #3: [15, 3] from Operation: 54/18=3
Current State: 45:[15, 3], Operations: ['81-66=15', '54/18=3']
Exploring Operation: 15*3=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
56,
18,
16,
44
] | 19 | [
"56*18=1008",
"1008/16=63",
"63-44=19"
] | Current State: 19:[56, 18, 16, 44], Operations: []
Exploring Operation: 56*18=1008, Resulting Numbers: [16, 44, 1008]
Generated Node #2: [16, 44, 1008] from Operation: 56*18=1008
Current State: 19:[16, 44, 1008], Operations: ['56*18=1008']
Exploring Operation: 1008/16=63, Resulting Numbers: [44, 63]
Generated Node #3: [44, 63] from Operation: 1008/16=63
Current State: 19:[44, 63], Operations: ['56*18=1008', '1008/16=63']
Exploring Operation: 63-44=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
6,
8,
55,
56
] | 49 | [
"6*8=48",
"56-55=1",
"48+1=49"
] | Current State: 49:[6, 8, 55, 56], Operations: []
Exploring Operation: 6*8=48, Resulting Numbers: [55, 56, 48]
Generated Node #2: [55, 56, 48] from Operation: 6*8=48
Current State: 49:[55, 56, 48], Operations: ['6*8=48']
Exploring Operation: 56-55=1, Resulting Numbers: [48, 1]
Generated Node #3: [48, 1] from Operation: 56-55=1
Current State: 49:[48, 1], Operations: ['6*8=48', '56-55=1']
Exploring Operation: 48+1=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
54,
25,
27,
94
] | 47 | [
"54-25=29",
"29-27=2",
"94/2=47"
] | Current State: 47:[54, 25, 27, 94], Operations: []
Exploring Operation: 54-25=29, Resulting Numbers: [27, 94, 29]
Generated Node #2: [27, 94, 29] from Operation: 54-25=29
Current State: 47:[27, 94, 29], Operations: ['54-25=29']
Exploring Operation: 29-27=2, Resulting Numbers: [94, 2]
Generated Node #3: [94, 2] from Operation: 29-27=2
Current State: 47:[94, 2], Operations: ['54-25=29', '29-27=2']
Exploring Operation: 94/2=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
62,
49,
9,
3
] | 99 | [
"62+49=111",
"9+3=12",
"111-12=99"
] | Current State: 99:[62, 49, 9, 3], Operations: []
Exploring Operation: 62+49=111, Resulting Numbers: [9, 3, 111]
Generated Node #2: [9, 3, 111] from Operation: 62+49=111
Current State: 99:[9, 3, 111], Operations: ['62+49=111']
Exploring Operation: 9+3=12, Resulting Numbers: [111, 12]
Generated Node #3: [111, 12] from Operation: 9+3=12
Current State: 99:[111, 12], Operations: ['62+49=111', '9+3=12']
Exploring Operation: 111-12=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
52,
26,
10,
7
] | 95 | [
"52+26=78",
"10+7=17",
"78+17=95"
] | Current State: 95:[52, 26, 10, 7], Operations: []
Exploring Operation: 52+26=78, Resulting Numbers: [10, 7, 78]
Generated Node #2: [10, 7, 78] from Operation: 52+26=78
Current State: 95:[10, 7, 78], Operations: ['52+26=78']
Exploring Operation: 10+7=17, Resulting Numbers: [78, 17]
Generated Node #3: [78, 17] from Operation: 10+7=17
Current State: 95:[78, 17], Operations: ['52+26=78', '10+7=17']
Exploring Operation: 78+17=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
80,
34,
46,
35
] | 57 | [
"80-34=46",
"46-35=11",
"46+11=57"
] | Current State: 57:[80, 34, 46, 35], Operations: []
Exploring Operation: 80-34=46, Resulting Numbers: [46, 35, 46]
Generated Node #2: [46, 35, 46] from Operation: 80-34=46
Current State: 57:[46, 35, 46], Operations: ['80-34=46']
Exploring Operation: 46-35=11, Resulting Numbers: [11]
11,57 equal: Goal Reached
Exploring Operation: 46+11=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
19,
98,
38,
50
] | 67 | [
"98-19=79",
"50-38=12",
"79-12=67"
] | Current State: 67:[19, 98, 38, 50], Operations: []
Exploring Operation: 98-19=79, Resulting Numbers: [38, 50, 79]
Generated Node #2: [38, 50, 79] from Operation: 98-19=79
Current State: 67:[38, 50, 79], Operations: ['98-19=79']
Exploring Operation: 50-38=12, Resulting Numbers: [79, 12]
Generated Node #3: [79, 12] from Operation: 50-38=12
Current State: 67:[79, 12], Operations: ['98-19=79', '50-38=12']
Exploring Operation: 79-12=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
72,
97,
73,
43
] | 54 | [
"73-72=1",
"97-43=54",
"1*54=54"
] | Current State: 54:[72, 97, 73, 43], Operations: []
Exploring Operation: 73-72=1, Resulting Numbers: [97, 43, 1]
Generated Node #2: [97, 43, 1] from Operation: 73-72=1
Current State: 54:[97, 43, 1], Operations: ['73-72=1']
Exploring Operation: 97-43=54, Resulting Numbers: [1, 54]
Generated Node #3: [1, 54] from Operation: 97-43=54
Current State: 54:[1, 54], Operations: ['73-72=1', '97-43=54']
Exploring Operation: 1*54=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
39,
88,
39,
13
] | 13 | [
"39-39=0",
"88*0=0",
"13+0=13"
] | Current State: 13:[39, 88, 39, 13], Operations: []
Exploring Operation: 39-39=0, Resulting Numbers: [88, 13, 0]
Generated Node #2: [88, 13, 0] from Operation: 39-39=0
Current State: 13:[88, 13, 0], Operations: ['39-39=0']
Exploring Operation: 88*0=0, Resulting Numbers: [13, 0]
Generated Node #3: [13, 0] from Operation: 88*0=0
Current State: 13:[13, 0], Operations: ['39-39=0', '88*0=0']
Exploring Operation: 13+0=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
7,
58,
51,
60
] | 29 | [
"7+51=58",
"60-58=2",
"58/2=29"
] | Current State: 29:[7, 58, 51, 60], Operations: []
Exploring Operation: 7+51=58, Resulting Numbers: [58, 60, 58]
Generated Node #2: [58, 60, 58] from Operation: 7+51=58
Current State: 29:[58, 60, 58], Operations: ['7+51=58']
Exploring Operation: 60-58=2, Resulting Numbers: [2]
2,29 equal: Goal Reached
Exploring Operation: 58/2=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
25,
24,
19,
8
] | 65 | [
"24-19=5",
"8*5=40",
"25+40=65"
] | Current State: 65:[25, 24, 19, 8], Operations: []
Exploring Operation: 24-19=5, Resulting Numbers: [25, 8, 5]
Generated Node #2: [25, 8, 5] from Operation: 24-19=5
Current State: 65:[25, 8, 5], Operations: ['24-19=5']
Exploring Operation: 8*5=40, Resulting Numbers: [25, 40]
Generated Node #3: [25, 40] from Operation: 8*5=40
Current State: 65:[25, 40], Operations: ['24-19=5', '8*5=40']
Exploring Operation: 25+40=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
42,
18,
35,
43
] | 52 | [
"42+18=60",
"43-35=8",
"60-8=52"
] | Current State: 52:[42, 18, 35, 43], Operations: []
Exploring Operation: 42+18=60, Resulting Numbers: [35, 43, 60]
Generated Node #2: [35, 43, 60] from Operation: 42+18=60
Current State: 52:[35, 43, 60], Operations: ['42+18=60']
Exploring Operation: 43-35=8, Resulting Numbers: [60, 8]
Generated Node #3: [60, 8] from Operation: 43-35=8
Current State: 52:[60, 8], Operations: ['42+18=60', '43-35=8']
Exploring Operation: 60-8=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
28,
56,
12,
48
] | 49 | [
"28*12=336",
"336/48=7",
"56-7=49"
] | Current State: 49:[28, 56, 12, 48], Operations: []
Exploring Operation: 28*12=336, Resulting Numbers: [56, 48, 336]
Generated Node #2: [56, 48, 336] from Operation: 28*12=336
Current State: 49:[56, 48, 336], Operations: ['28*12=336']
Exploring Operation: 336/48=7, Resulting Numbers: [56, 7]
Generated Node #3: [56, 7] from Operation: 336/48=7
Current State: 49:[56, 7], Operations: ['28*12=336', '336/48=7']
Exploring Operation: 56-7=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
28,
95,
33,
18
] | 72 | [
"28+95=123",
"33+18=51",
"123-51=72"
] | Current State: 72:[28, 95, 33, 18], Operations: []
Exploring Operation: 28+95=123, Resulting Numbers: [33, 18, 123]
Generated Node #2: [33, 18, 123] from Operation: 28+95=123
Current State: 72:[33, 18, 123], Operations: ['28+95=123']
Exploring Operation: 33+18=51, Resulting Numbers: [123, 51]
Generated Node #3: [123, 51] from Operation: 33+18=51
Current State: 72:[123, 51], Operations: ['28+95=123', '33+18=51']
Exploring Operation: 123-51=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
80,
32,
20,
66
] | 16 | [
"80*20=1600",
"1600/32=50",
"66-50=16"
] | Current State: 16:[80, 32, 20, 66], Operations: []
Exploring Operation: 80*20=1600, Resulting Numbers: [32, 66, 1600]
Generated Node #2: [32, 66, 1600] from Operation: 80*20=1600
Current State: 16:[32, 66, 1600], Operations: ['80*20=1600']
Exploring Operation: 1600/32=50, Resulting Numbers: [66, 50]
Generated Node #3: [66, 50] from Operation: 1600/32=50
Current State: 16:[66, 50], Operations: ['80*20=1600', '1600/32=50']
Exploring Operation: 66-50=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
53,
8,
26,
70
] | 35 | [
"53+8=61",
"26+70=96",
"96-61=35"
] | Current State: 35:[53, 8, 26, 70], Operations: []
Exploring Operation: 53+8=61, Resulting Numbers: [26, 70, 61]
Generated Node #2: [26, 70, 61] from Operation: 53+8=61
Current State: 35:[26, 70, 61], Operations: ['53+8=61']
Exploring Operation: 26+70=96, Resulting Numbers: [61, 96]
Generated Node #3: [61, 96] from Operation: 26+70=96
Current State: 35:[61, 96], Operations: ['53+8=61', '26+70=96']
Exploring Operation: 96-61=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
76,
38,
95,
21
] | 12 | [
"76*21=1596",
"38+95=133",
"1596/133=12"
] | Current State: 12:[76, 38, 95, 21], Operations: []
Exploring Operation: 76*21=1596, Resulting Numbers: [38, 95, 1596]
Generated Node #2: [38, 95, 1596] from Operation: 76*21=1596
Current State: 12:[38, 95, 1596], Operations: ['76*21=1596']
Exploring Operation: 38+95=133, Resulting Numbers: [1596, 133]
Generated Node #3: [1596, 133] from Operation: 38+95=133
Current State: 12:[1596, 133], Operations: ['76*21=1596', '38+95=133']
Exploring Operation: 1596/133=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
30,
92,
70,
44
] | 96 | [
"30+92=122",
"70-44=26",
"122-26=96"
] | Current State: 96:[30, 92, 70, 44], Operations: []
Exploring Operation: 30+92=122, Resulting Numbers: [70, 44, 122]
Generated Node #2: [70, 44, 122] from Operation: 30+92=122
Current State: 96:[70, 44, 122], Operations: ['30+92=122']
Exploring Operation: 70-44=26, Resulting Numbers: [122, 26]
Generated Node #3: [122, 26] from Operation: 70-44=26
Current State: 96:[122, 26], Operations: ['30+92=122', '70-44=26']
Exploring Operation: 122-26=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
24,
81,
32,
27
] | 11 | [
"32-24=8",
"81/27=3",
"8+3=11"
] | Current State: 11:[24, 81, 32, 27], Operations: []
Exploring Operation: 32-24=8, Resulting Numbers: [81, 27, 8]
Generated Node #2: [81, 27, 8] from Operation: 32-24=8
Current State: 11:[81, 27, 8], Operations: ['32-24=8']
Exploring Operation: 81/27=3, Resulting Numbers: [8, 3]
Generated Node #3: [8, 3] from Operation: 81/27=3
Current State: 11:[8, 3], Operations: ['32-24=8', '81/27=3']
Exploring Operation: 8+3=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
7,
90,
39,
1
] | 58 | [
"7+90=97",
"39*1=39",
"97-39=58"
] | Current State: 58:[7, 90, 39, 1], Operations: []
Exploring Operation: 7+90=97, Resulting Numbers: [39, 1, 97]
Generated Node #2: [39, 1, 97] from Operation: 7+90=97
Current State: 58:[39, 1, 97], Operations: ['7+90=97']
Exploring Operation: 39*1=39, Resulting Numbers: [97, 39]
Generated Node #3: [97, 39] from Operation: 39*1=39
Current State: 58:[97, 39], Operations: ['7+90=97', '39*1=39']
Exploring Operation: 97-39=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
97,
43,
84,
67
] | 97 | [
"97-43=54",
"84+67=151",
"151-54=97"
] | Current State: 97:[97, 43, 84, 67], Operations: []
Exploring Operation: 97-43=54, Resulting Numbers: [84, 67, 54]
Generated Node #2: [84, 67, 54] from Operation: 97-43=54
Current State: 97:[84, 67, 54], Operations: ['97-43=54']
Exploring Operation: 84+67=151, Resulting Numbers: [54, 151]
Generated Node #3: [54, 151] from Operation: 84+67=151
Current State: 97:[54, 151], Operations: ['97-43=54', '84+67=151']
Exploring Operation: 151-54=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
18,
12,
78,
71
] | 66 | [
"78-18=60",
"60/12=5",
"71-5=66"
] | Current State: 66:[18, 12, 78, 71], Operations: []
Exploring Operation: 78-18=60, Resulting Numbers: [12, 71, 60]
Generated Node #2: [12, 71, 60] from Operation: 78-18=60
Current State: 66:[12, 71, 60], Operations: ['78-18=60']
Exploring Operation: 60/12=5, Resulting Numbers: [71, 5]
Generated Node #3: [71, 5] from Operation: 60/12=5
Current State: 66:[71, 5], Operations: ['78-18=60', '60/12=5']
Exploring Operation: 71-5=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
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