nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
6,
33,
27,
44
] | 54 | [
"33+27=60",
"60/6=10",
"44+10=54"
] | Current State: 54:[6, 33, 27, 44], Operations: []
Exploring Operation: 33+27=60, Resulting Numbers: [6, 44, 60]
Generated Node #2: [6, 44, 60] from Operation: 33+27=60
Current State: 54:[6, 44, 60], Operations: ['33+27=60']
Exploring Operation: 60/6=10, Resulting Numbers: [44, 10]
Generated Node #3: [44, 10] from Operation: 60/6=10
Current State: 54:[44, 10], Operations: ['33+27=60', '60/6=10']
Exploring Operation: 44+10=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
34,
75,
77,
19
] | 55 | [
"75-34=41",
"77+19=96",
"96-41=55"
] | Current State: 55:[34, 75, 77, 19], Operations: []
Exploring Operation: 75-34=41, Resulting Numbers: [77, 19, 41]
Generated Node #2: [77, 19, 41] from Operation: 75-34=41
Current State: 55:[77, 19, 41], Operations: ['75-34=41']
Exploring Operation: 77+19=96, Resulting Numbers: [41, 96]
Generated Node #3: [41, 96] from Operation: 77+19=96
Current State: 55:[41, 96], Operations: ['75-34=41', '77+19=96']
Exploring Operation: 96-41=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
70,
4,
23,
4
] | 70 | [
"4-4=0",
"23*0=0",
"70+0=70"
] | Current State: 70:[70, 4, 23, 4], Operations: []
Exploring Operation: 4-4=0, Resulting Numbers: [70, 23, 0]
Generated Node #2: [70, 23, 0] from Operation: 4-4=0
Current State: 70:[70, 23, 0], Operations: ['4-4=0']
Exploring Operation: 23*0=0, Resulting Numbers: [70, 0]
Generated Node #3: [70, 0] from Operation: 23*0=0
Current State: 70:[70, 0], Operations: ['4-4=0', '23*0=0']
Exploring Operation: 70+0=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
68,
32,
8,
7
] | 10 | [
"68*8=544",
"544/32=17",
"17-7=10"
] | Current State: 10:[68, 32, 8, 7], Operations: []
Exploring Operation: 68*8=544, Resulting Numbers: [32, 7, 544]
Generated Node #2: [32, 7, 544] from Operation: 68*8=544
Current State: 10:[32, 7, 544], Operations: ['68*8=544']
Exploring Operation: 544/32=17, Resulting Numbers: [7, 17]
Generated Node #3: [7, 17] from Operation: 544/32=17
Current State: 10:[7, 17], Operations: ['68*8=544', '544/32=17']
Exploring Operation: 17-7=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
85,
33,
51,
71
] | 72 | [
"85-33=52",
"71-51=20",
"52+20=72"
] | Current State: 72:[85, 33, 51, 71], Operations: []
Exploring Operation: 85-33=52, Resulting Numbers: [51, 71, 52]
Generated Node #2: [51, 71, 52] from Operation: 85-33=52
Current State: 72:[51, 71, 52], Operations: ['85-33=52']
Exploring Operation: 71-51=20, Resulting Numbers: [52, 20]
Generated Node #3: [52, 20] from Operation: 71-51=20
Current State: 72:[52, 20], Operations: ['85-33=52', '71-51=20']
Exploring Operation: 52+20=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
37,
73,
81,
65
] | 35 | [
"81+65=146",
"146/73=2",
"37-2=35"
] | Current State: 35:[37, 73, 81, 65], Operations: []
Exploring Operation: 81+65=146, Resulting Numbers: [37, 73, 146]
Generated Node #2: [37, 73, 146] from Operation: 81+65=146
Current State: 35:[37, 73, 146], Operations: ['81+65=146']
Exploring Operation: 146/73=2, Resulting Numbers: [37, 2]
Generated Node #3: [37, 2] from Operation: 146/73=2
Current State: 35:[37, 2], Operations: ['81+65=146', '146/73=2']
Exploring Operation: 37-2=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
25,
16,
59,
77
] | 27 | [
"25-16=9",
"77-59=18",
"9+18=27"
] | Current State: 27:[25, 16, 59, 77], Operations: []
Exploring Operation: 25-16=9, Resulting Numbers: [59, 77, 9]
Generated Node #2: [59, 77, 9] from Operation: 25-16=9
Current State: 27:[59, 77, 9], Operations: ['25-16=9']
Exploring Operation: 77-59=18, Resulting Numbers: [9, 18]
Generated Node #3: [9, 18] from Operation: 77-59=18
Current State: 27:[9, 18], Operations: ['25-16=9', '77-59=18']
Exploring Operation: 9+18=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
28,
34,
22,
10
] | 88 | [
"34-28=6",
"10-6=4",
"22*4=88"
] | Current State: 88:[28, 34, 22, 10], Operations: []
Exploring Operation: 34-28=6, Resulting Numbers: [22, 10, 6]
Generated Node #2: [22, 10, 6] from Operation: 34-28=6
Current State: 88:[22, 10, 6], Operations: ['34-28=6']
Exploring Operation: 10-6=4, Resulting Numbers: [22, 4]
Generated Node #3: [22, 4] from Operation: 10-6=4
Current State: 88:[22, 4], Operations: ['34-28=6', '10-6=4']
Exploring Operation: 22*4=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
6,
52,
2,
20
] | 76 | [
"6+52=58",
"20-2=18",
"58+18=76"
] | Current State: 76:[6, 52, 2, 20], Operations: []
Exploring Operation: 6+52=58, Resulting Numbers: [2, 20, 58]
Generated Node #2: [2, 20, 58] from Operation: 6+52=58
Current State: 76:[2, 20, 58], Operations: ['6+52=58']
Exploring Operation: 20-2=18, Resulting Numbers: [58, 18]
Generated Node #3: [58, 18] from Operation: 20-2=18
Current State: 76:[58, 18], Operations: ['6+52=58', '20-2=18']
Exploring Operation: 58+18=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
72,
42,
74,
21
] | 42 | [
"74-72=2",
"42-21=21",
"2*21=42"
] | Current State: 42:[72, 42, 74, 21], Operations: []
Exploring Operation: 74-72=2, Resulting Numbers: [42, 21, 2]
Generated Node #2: [42, 21, 2] from Operation: 74-72=2
Current State: 42:[42, 21, 2], Operations: ['74-72=2']
Exploring Operation: 42-21=21, Resulting Numbers: [2, 21]
Generated Node #3: [2, 21] from Operation: 42-21=21
Current State: 42:[2, 21], Operations: ['74-72=2', '42-21=21']
Exploring Operation: 2*21=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
5,
87,
86,
55
] | 61 | [
"5+87=92",
"86-55=31",
"92-31=61"
] | Current State: 61:[5, 87, 86, 55], Operations: []
Exploring Operation: 5+87=92, Resulting Numbers: [86, 55, 92]
Generated Node #2: [86, 55, 92] from Operation: 5+87=92
Current State: 61:[86, 55, 92], Operations: ['5+87=92']
Exploring Operation: 86-55=31, Resulting Numbers: [92, 31]
Generated Node #3: [92, 31] from Operation: 86-55=31
Current State: 61:[92, 31], Operations: ['5+87=92', '86-55=31']
Exploring Operation: 92-31=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
58,
36,
7,
23
] | 52 | [
"58-36=22",
"7+23=30",
"22+30=52"
] | Current State: 52:[58, 36, 7, 23], Operations: []
Exploring Operation: 58-36=22, Resulting Numbers: [7, 23, 22]
Generated Node #2: [7, 23, 22] from Operation: 58-36=22
Current State: 52:[7, 23, 22], Operations: ['58-36=22']
Exploring Operation: 7+23=30, Resulting Numbers: [22, 30]
Generated Node #3: [22, 30] from Operation: 7+23=30
Current State: 52:[22, 30], Operations: ['58-36=22', '7+23=30']
Exploring Operation: 22+30=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
99,
63,
30,
85
] | 82 | [
"63-30=33",
"99/33=3",
"85-3=82"
] | Current State: 82:[99, 63, 30, 85], Operations: []
Exploring Operation: 63-30=33, Resulting Numbers: [99, 85, 33]
Generated Node #2: [99, 85, 33] from Operation: 63-30=33
Current State: 82:[99, 85, 33], Operations: ['63-30=33']
Exploring Operation: 99/33=3, Resulting Numbers: [85, 3]
Generated Node #3: [85, 3] from Operation: 99/33=3
Current State: 82:[85, 3], Operations: ['63-30=33', '99/33=3']
Exploring Operation: 85-3=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
18,
18,
2,
76
] | 38 | [
"18+18=36",
"76-2=74",
"74-36=38"
] | Current State: 38:[18, 18, 2, 76], Operations: []
Exploring Operation: 18+18=36, Resulting Numbers: [2, 76, 36]
Generated Node #2: [2, 76, 36] from Operation: 18+18=36
Current State: 38:[2, 76, 36], Operations: ['18+18=36']
Exploring Operation: 76-2=74, Resulting Numbers: [36, 74]
Generated Node #3: [36, 74] from Operation: 76-2=74
Current State: 38:[36, 74], Operations: ['18+18=36', '76-2=74']
Exploring Operation: 74-36=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
10,
74,
52,
67
] | 79 | [
"74-10=64",
"67-52=15",
"64+15=79"
] | Current State: 79:[10, 74, 52, 67], Operations: []
Exploring Operation: 74-10=64, Resulting Numbers: [52, 67, 64]
Generated Node #2: [52, 67, 64] from Operation: 74-10=64
Current State: 79:[52, 67, 64], Operations: ['74-10=64']
Exploring Operation: 67-52=15, Resulting Numbers: [64, 15]
Generated Node #3: [64, 15] from Operation: 67-52=15
Current State: 79:[64, 15], Operations: ['74-10=64', '67-52=15']
Exploring Operation: 64+15=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
7,
93,
39,
16
] | 31 | [
"93-7=86",
"39+16=55",
"86-55=31"
] | Current State: 31:[7, 93, 39, 16], Operations: []
Exploring Operation: 93-7=86, Resulting Numbers: [39, 16, 86]
Generated Node #2: [39, 16, 86] from Operation: 93-7=86
Current State: 31:[39, 16, 86], Operations: ['93-7=86']
Exploring Operation: 39+16=55, Resulting Numbers: [86, 55]
Generated Node #3: [86, 55] from Operation: 39+16=55
Current State: 31:[86, 55], Operations: ['93-7=86', '39+16=55']
Exploring Operation: 86-55=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
49,
55,
50,
47
] | 18 | [
"55-49=6",
"50-47=3",
"6*3=18"
] | Current State: 18:[49, 55, 50, 47], Operations: []
Exploring Operation: 55-49=6, Resulting Numbers: [50, 47, 6]
Generated Node #2: [50, 47, 6] from Operation: 55-49=6
Current State: 18:[50, 47, 6], Operations: ['55-49=6']
Exploring Operation: 50-47=3, Resulting Numbers: [6, 3]
Generated Node #3: [6, 3] from Operation: 50-47=3
Current State: 18:[6, 3], Operations: ['55-49=6', '50-47=3']
Exploring Operation: 6*3=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
96,
16,
69,
5
] | 16 | [
"96-16=80",
"69-5=64",
"80-64=16"
] | Current State: 16:[96, 16, 69, 5], Operations: []
Exploring Operation: 96-16=80, Resulting Numbers: [69, 5, 80]
Generated Node #2: [69, 5, 80] from Operation: 96-16=80
Current State: 16:[69, 5, 80], Operations: ['96-16=80']
Exploring Operation: 69-5=64, Resulting Numbers: [80, 64]
Generated Node #3: [80, 64] from Operation: 69-5=64
Current State: 16:[80, 64], Operations: ['96-16=80', '69-5=64']
Exploring Operation: 80-64=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
66,
46,
66,
73
] | 73 | [
"66-66=0",
"46*0=0",
"73+0=73"
] | Current State: 73:[66, 46, 66, 73], Operations: []
Exploring Operation: 66-66=0, Resulting Numbers: [46, 73, 0]
Generated Node #2: [46, 73, 0] from Operation: 66-66=0
Current State: 73:[46, 73, 0], Operations: ['66-66=0']
Exploring Operation: 46*0=0, Resulting Numbers: [73, 0]
Generated Node #3: [73, 0] from Operation: 46*0=0
Current State: 73:[73, 0], Operations: ['66-66=0', '46*0=0']
Exploring Operation: 73+0=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
38,
42,
89,
41
] | 52 | [
"42-38=4",
"89-41=48",
"4+48=52"
] | Current State: 52:[38, 42, 89, 41], Operations: []
Exploring Operation: 42-38=4, Resulting Numbers: [89, 41, 4]
Generated Node #2: [89, 41, 4] from Operation: 42-38=4
Current State: 52:[89, 41, 4], Operations: ['42-38=4']
Exploring Operation: 89-41=48, Resulting Numbers: [4, 48]
Generated Node #3: [4, 48] from Operation: 89-41=48
Current State: 52:[4, 48], Operations: ['42-38=4', '89-41=48']
Exploring Operation: 4+48=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
96,
89,
10,
7
] | 77 | [
"96-89=7",
"10*7=70",
"7+70=77"
] | Current State: 77:[96, 89, 10, 7], Operations: []
Exploring Operation: 96-89=7, Resulting Numbers: [10, 7, 7]
Generated Node #2: [10, 7, 7] from Operation: 96-89=7
Current State: 77:[10, 7, 7], Operations: ['96-89=7']
Exploring Operation: 10*7=70, Resulting Numbers: [70]
70,77 equal: Goal Reached
Exploring Operation: 7+70=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
68,
94,
65,
53
] | 54 | [
"68*53=3604",
"3604-94=3510",
"3510/65=54"
] | Current State: 54:[68, 94, 65, 53], Operations: []
Exploring Operation: 68*53=3604, Resulting Numbers: [94, 65, 3604]
Generated Node #2: [94, 65, 3604] from Operation: 68*53=3604
Current State: 54:[94, 65, 3604], Operations: ['68*53=3604']
Exploring Operation: 3604-94=3510, Resulting Numbers: [65, 3510]
Generated Node #3: [65, 3510] from Operation: 3604-94=3510
Current State: 54:[65, 3510], Operations: ['68*53=3604', '3604-94=3510']
Exploring Operation: 3510/65=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
89,
80,
24,
5
] | 69 | [
"89-80=9",
"5*9=45",
"24+45=69"
] | Current State: 69:[89, 80, 24, 5], Operations: []
Exploring Operation: 89-80=9, Resulting Numbers: [24, 5, 9]
Generated Node #2: [24, 5, 9] from Operation: 89-80=9
Current State: 69:[24, 5, 9], Operations: ['89-80=9']
Exploring Operation: 5*9=45, Resulting Numbers: [24, 45]
Generated Node #3: [24, 45] from Operation: 5*9=45
Current State: 69:[24, 45], Operations: ['89-80=9', '5*9=45']
Exploring Operation: 24+45=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
96,
31,
53,
90
] | 90 | [
"96+31=127",
"90-53=37",
"127-37=90"
] | Current State: 90:[96, 31, 53, 90], Operations: []
Exploring Operation: 96+31=127, Resulting Numbers: [53, 90, 127]
Generated Node #2: [53, 90, 127] from Operation: 96+31=127
Current State: 90:[53, 90, 127], Operations: ['96+31=127']
Exploring Operation: 90-53=37, Resulting Numbers: [127, 37]
Generated Node #3: [127, 37] from Operation: 90-53=37
Current State: 90:[127, 37], Operations: ['96+31=127', '90-53=37']
Exploring Operation: 127-37=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
21,
20,
17,
10
] | 34 | [
"21+20=41",
"17-10=7",
"41-7=34"
] | Current State: 34:[21, 20, 17, 10], Operations: []
Exploring Operation: 21+20=41, Resulting Numbers: [17, 10, 41]
Generated Node #2: [17, 10, 41] from Operation: 21+20=41
Current State: 34:[17, 10, 41], Operations: ['21+20=41']
Exploring Operation: 17-10=7, Resulting Numbers: [41, 7]
Generated Node #3: [41, 7] from Operation: 17-10=7
Current State: 34:[41, 7], Operations: ['21+20=41', '17-10=7']
Exploring Operation: 41-7=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
39,
88,
35,
28
] | 71 | [
"88*35=3080",
"3080/28=110",
"110-39=71"
] | Current State: 71:[39, 88, 35, 28], Operations: []
Exploring Operation: 88*35=3080, Resulting Numbers: [39, 28, 3080]
Generated Node #2: [39, 28, 3080] from Operation: 88*35=3080
Current State: 71:[39, 28, 3080], Operations: ['88*35=3080']
Exploring Operation: 3080/28=110, Resulting Numbers: [39, 110]
Generated Node #3: [39, 110] from Operation: 3080/28=110
Current State: 71:[39, 110], Operations: ['88*35=3080', '3080/28=110']
Exploring Operation: 110-39=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
35,
78,
45,
2
] | 23 | [
"35+78=113",
"45*2=90",
"113-90=23"
] | Current State: 23:[35, 78, 45, 2], Operations: []
Exploring Operation: 35+78=113, Resulting Numbers: [45, 2, 113]
Generated Node #2: [45, 2, 113] from Operation: 35+78=113
Current State: 23:[45, 2, 113], Operations: ['35+78=113']
Exploring Operation: 45*2=90, Resulting Numbers: [113, 90]
Generated Node #3: [113, 90] from Operation: 45*2=90
Current State: 23:[113, 90], Operations: ['35+78=113', '45*2=90']
Exploring Operation: 113-90=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
78,
75,
40,
42
] | 60 | [
"75+42=117",
"40*117=4680",
"4680/78=60"
] | Current State: 60:[78, 75, 40, 42], Operations: []
Exploring Operation: 75+42=117, Resulting Numbers: [78, 40, 117]
Generated Node #2: [78, 40, 117] from Operation: 75+42=117
Current State: 60:[78, 40, 117], Operations: ['75+42=117']
Exploring Operation: 40*117=4680, Resulting Numbers: [78, 4680]
Generated Node #3: [78, 4680] from Operation: 40*117=4680
Current State: 60:[78, 4680], Operations: ['75+42=117', '40*117=4680']
Exploring Operation: 4680/78=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
63,
57,
28,
58
] | 92 | [
"63-57=6",
"28+58=86",
"6+86=92"
] | Current State: 92:[63, 57, 28, 58], Operations: []
Exploring Operation: 63-57=6, Resulting Numbers: [28, 58, 6]
Generated Node #2: [28, 58, 6] from Operation: 63-57=6
Current State: 92:[28, 58, 6], Operations: ['63-57=6']
Exploring Operation: 28+58=86, Resulting Numbers: [6, 86]
Generated Node #3: [6, 86] from Operation: 28+58=86
Current State: 92:[6, 86], Operations: ['63-57=6', '28+58=86']
Exploring Operation: 6+86=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
21,
65,
90,
49
] | 18 | [
"65-21=44",
"49-44=5",
"90/5=18"
] | Current State: 18:[21, 65, 90, 49], Operations: []
Exploring Operation: 65-21=44, Resulting Numbers: [90, 49, 44]
Generated Node #2: [90, 49, 44] from Operation: 65-21=44
Current State: 18:[90, 49, 44], Operations: ['65-21=44']
Exploring Operation: 49-44=5, Resulting Numbers: [90, 5]
Generated Node #3: [90, 5] from Operation: 49-44=5
Current State: 18:[90, 5], Operations: ['65-21=44', '49-44=5']
Exploring Operation: 90/5=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
52,
80,
69,
52
] | 45 | [
"80-52=28",
"69-52=17",
"28+17=45"
] | Current State: 45:[52, 80, 69, 52], Operations: []
Exploring Operation: 80-52=28, Resulting Numbers: [69, 28]
Generated Node #2: [69, 28] from Operation: 80-52=28
Current State: 45:[69, 28], Operations: ['80-52=28']
Exploring Operation: 69-52=17, Resulting Numbers: [28, 17]
Generated Node #3: [28, 17] from Operation: 69-52=17
Current State: 45:[28, 17], Operations: ['80-52=28', '69-52=17']
Exploring Operation: 28+17=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
86,
22,
32,
98
] | 49 | [
"86-22=64",
"32*98=3136",
"3136/64=49"
] | Current State: 49:[86, 22, 32, 98], Operations: []
Exploring Operation: 86-22=64, Resulting Numbers: [32, 98, 64]
Generated Node #2: [32, 98, 64] from Operation: 86-22=64
Current State: 49:[32, 98, 64], Operations: ['86-22=64']
Exploring Operation: 32*98=3136, Resulting Numbers: [64, 3136]
Generated Node #3: [64, 3136] from Operation: 32*98=3136
Current State: 49:[64, 3136], Operations: ['86-22=64', '32*98=3136']
Exploring Operation: 3136/64=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
35,
20,
85,
32
] | 75 | [
"35+85=120",
"20*120=2400",
"2400/32=75"
] | Current State: 75:[35, 20, 85, 32], Operations: []
Exploring Operation: 35+85=120, Resulting Numbers: [20, 32, 120]
Generated Node #2: [20, 32, 120] from Operation: 35+85=120
Current State: 75:[20, 32, 120], Operations: ['35+85=120']
Exploring Operation: 20*120=2400, Resulting Numbers: [32, 2400]
Generated Node #3: [32, 2400] from Operation: 20*120=2400
Current State: 75:[32, 2400], Operations: ['35+85=120', '20*120=2400']
Exploring Operation: 2400/32=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
83,
65,
27,
38
] | 82 | [
"65-27=38",
"38/38=1",
"83-1=82"
] | Current State: 82:[83, 65, 27, 38], Operations: []
Exploring Operation: 65-27=38, Resulting Numbers: [83, 38, 38]
Generated Node #2: [83, 38, 38] from Operation: 65-27=38
Current State: 82:[83, 38, 38], Operations: ['65-27=38']
Exploring Operation: 38/38=1, Resulting Numbers: [83, 1]
Generated Node #3: [83, 1] from Operation: 38/38=1
Current State: 82:[83, 1], Operations: ['65-27=38', '38/38=1']
Exploring Operation: 83-1=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
92,
76,
73,
58
] | 54 | [
"92-73=19",
"76/19=4",
"58-4=54"
] | Current State: 54:[92, 76, 73, 58], Operations: []
Exploring Operation: 92-73=19, Resulting Numbers: [76, 58, 19]
Generated Node #2: [76, 58, 19] from Operation: 92-73=19
Current State: 54:[76, 58, 19], Operations: ['92-73=19']
Exploring Operation: 76/19=4, Resulting Numbers: [58, 4]
Generated Node #3: [58, 4] from Operation: 76/19=4
Current State: 54:[58, 4], Operations: ['92-73=19', '76/19=4']
Exploring Operation: 58-4=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
75,
24,
2,
84
] | 31 | [
"75-24=51",
"84-2=82",
"82-51=31"
] | Current State: 31:[75, 24, 2, 84], Operations: []
Exploring Operation: 75-24=51, Resulting Numbers: [2, 84, 51]
Generated Node #2: [2, 84, 51] from Operation: 75-24=51
Current State: 31:[2, 84, 51], Operations: ['75-24=51']
Exploring Operation: 84-2=82, Resulting Numbers: [51, 82]
Generated Node #3: [51, 82] from Operation: 84-2=82
Current State: 31:[51, 82], Operations: ['75-24=51', '84-2=82']
Exploring Operation: 82-51=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
57,
36,
51,
60
] | 84 | [
"57+36=93",
"60-51=9",
"93-9=84"
] | Current State: 84:[57, 36, 51, 60], Operations: []
Exploring Operation: 57+36=93, Resulting Numbers: [51, 60, 93]
Generated Node #2: [51, 60, 93] from Operation: 57+36=93
Current State: 84:[51, 60, 93], Operations: ['57+36=93']
Exploring Operation: 60-51=9, Resulting Numbers: [93, 9]
Generated Node #3: [93, 9] from Operation: 60-51=9
Current State: 84:[93, 9], Operations: ['57+36=93', '60-51=9']
Exploring Operation: 93-9=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
94,
62,
32,
35
] | 36 | [
"94-62=32",
"32/32=1",
"35+1=36"
] | Current State: 36:[94, 62, 32, 35], Operations: []
Exploring Operation: 94-62=32, Resulting Numbers: [32, 35, 32]
Generated Node #2: [32, 35, 32] from Operation: 94-62=32
Current State: 36:[32, 35, 32], Operations: ['94-62=32']
Exploring Operation: 32/32=1, Resulting Numbers: [35, 1]
Generated Node #3: [35, 1] from Operation: 32/32=1
Current State: 36:[35, 1], Operations: ['94-62=32', '32/32=1']
Exploring Operation: 35+1=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
19,
56,
14,
49
] | 21 | [
"19-14=5",
"56+49=105",
"105/5=21"
] | Current State: 21:[19, 56, 14, 49], Operations: []
Exploring Operation: 19-14=5, Resulting Numbers: [56, 49, 5]
Generated Node #2: [56, 49, 5] from Operation: 19-14=5
Current State: 21:[56, 49, 5], Operations: ['19-14=5']
Exploring Operation: 56+49=105, Resulting Numbers: [5, 105]
Generated Node #3: [5, 105] from Operation: 56+49=105
Current State: 21:[5, 105], Operations: ['19-14=5', '56+49=105']
Exploring Operation: 105/5=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
40,
5,
95,
27
] | 10 | [
"40+95=135",
"135/27=5",
"5+5=10"
] | Current State: 10:[40, 5, 95, 27], Operations: []
Exploring Operation: 40+95=135, Resulting Numbers: [5, 27, 135]
Generated Node #2: [5, 27, 135] from Operation: 40+95=135
Current State: 10:[5, 27, 135], Operations: ['40+95=135']
Exploring Operation: 135/27=5, Resulting Numbers: [5, 5]
Generated Node #3: [5, 5] from Operation: 135/27=5
Current State: 10:[5, 5], Operations: ['40+95=135', '135/27=5']
Exploring Operation: 5+5=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
5,
45,
88,
90
] | 79 | [
"90-45=45",
"45/5=9",
"88-9=79"
] | Current State: 79:[5, 45, 88, 90], Operations: []
Exploring Operation: 90-45=45, Resulting Numbers: [5, 88, 45]
Generated Node #2: [5, 88, 45] from Operation: 90-45=45
Current State: 79:[5, 88, 45], Operations: ['90-45=45']
Exploring Operation: 45/5=9, Resulting Numbers: [88, 9]
Generated Node #3: [88, 9] from Operation: 45/5=9
Current State: 79:[88, 9], Operations: ['90-45=45', '45/5=9']
Exploring Operation: 88-9=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
43,
17,
67,
42
] | 35 | [
"43+17=60",
"67-42=25",
"60-25=35"
] | Current State: 35:[43, 17, 67, 42], Operations: []
Exploring Operation: 43+17=60, Resulting Numbers: [67, 42, 60]
Generated Node #2: [67, 42, 60] from Operation: 43+17=60
Current State: 35:[67, 42, 60], Operations: ['43+17=60']
Exploring Operation: 67-42=25, Resulting Numbers: [60, 25]
Generated Node #3: [60, 25] from Operation: 67-42=25
Current State: 35:[60, 25], Operations: ['43+17=60', '67-42=25']
Exploring Operation: 60-25=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
41,
85,
11,
24
] | 49 | [
"41*24=984",
"85*11=935",
"984-935=49"
] | Current State: 49:[41, 85, 11, 24], Operations: []
Exploring Operation: 41*24=984, Resulting Numbers: [85, 11, 984]
Generated Node #2: [85, 11, 984] from Operation: 41*24=984
Current State: 49:[85, 11, 984], Operations: ['41*24=984']
Exploring Operation: 85*11=935, Resulting Numbers: [984, 935]
Generated Node #3: [984, 935] from Operation: 85*11=935
Current State: 49:[984, 935], Operations: ['41*24=984', '85*11=935']
Exploring Operation: 984-935=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
41,
7,
87,
85
] | 36 | [
"41-7=34",
"87-85=2",
"34+2=36"
] | Current State: 36:[41, 7, 87, 85], Operations: []
Exploring Operation: 41-7=34, Resulting Numbers: [87, 85, 34]
Generated Node #2: [87, 85, 34] from Operation: 41-7=34
Current State: 36:[87, 85, 34], Operations: ['41-7=34']
Exploring Operation: 87-85=2, Resulting Numbers: [34, 2]
Generated Node #3: [34, 2] from Operation: 87-85=2
Current State: 36:[34, 2], Operations: ['41-7=34', '87-85=2']
Exploring Operation: 34+2=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
32,
4,
88,
93
] | 23 | [
"32-4=28",
"93-88=5",
"28-5=23"
] | Current State: 23:[32, 4, 88, 93], Operations: []
Exploring Operation: 32-4=28, Resulting Numbers: [88, 93, 28]
Generated Node #2: [88, 93, 28] from Operation: 32-4=28
Current State: 23:[88, 93, 28], Operations: ['32-4=28']
Exploring Operation: 93-88=5, Resulting Numbers: [28, 5]
Generated Node #3: [28, 5] from Operation: 93-88=5
Current State: 23:[28, 5], Operations: ['32-4=28', '93-88=5']
Exploring Operation: 28-5=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
92,
18,
57,
3
] | 14 | [
"92-18=74",
"57+3=60",
"74-60=14"
] | Current State: 14:[92, 18, 57, 3], Operations: []
Exploring Operation: 92-18=74, Resulting Numbers: [57, 3, 74]
Generated Node #2: [57, 3, 74] from Operation: 92-18=74
Current State: 14:[57, 3, 74], Operations: ['92-18=74']
Exploring Operation: 57+3=60, Resulting Numbers: [74, 60]
Generated Node #3: [74, 60] from Operation: 57+3=60
Current State: 14:[74, 60], Operations: ['92-18=74', '57+3=60']
Exploring Operation: 74-60=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
14,
2,
21,
11
] | 78 | [
"21+11=32",
"2*32=64",
"14+64=78"
] | Current State: 78:[14, 2, 21, 11], Operations: []
Exploring Operation: 21+11=32, Resulting Numbers: [14, 2, 32]
Generated Node #2: [14, 2, 32] from Operation: 21+11=32
Current State: 78:[14, 2, 32], Operations: ['21+11=32']
Exploring Operation: 2*32=64, Resulting Numbers: [14, 64]
Generated Node #3: [14, 64] from Operation: 2*32=64
Current State: 78:[14, 64], Operations: ['21+11=32', '2*32=64']
Exploring Operation: 14+64=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
63,
69,
72,
56
] | 77 | [
"72-69=3",
"63/3=21",
"56+21=77"
] | Current State: 77:[63, 69, 72, 56], Operations: []
Exploring Operation: 72-69=3, Resulting Numbers: [63, 56, 3]
Generated Node #2: [63, 56, 3] from Operation: 72-69=3
Current State: 77:[63, 56, 3], Operations: ['72-69=3']
Exploring Operation: 63/3=21, Resulting Numbers: [56, 21]
Generated Node #3: [56, 21] from Operation: 63/3=21
Current State: 77:[56, 21], Operations: ['72-69=3', '63/3=21']
Exploring Operation: 56+21=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
3,
45,
98,
99
] | 20 | [
"99/3=33",
"98-45=53",
"53-33=20"
] | Current State: 20:[3, 45, 98, 99], Operations: []
Exploring Operation: 99/3=33, Resulting Numbers: [45, 98, 33]
Generated Node #2: [45, 98, 33] from Operation: 99/3=33
Current State: 20:[45, 98, 33], Operations: ['99/3=33']
Exploring Operation: 98-45=53, Resulting Numbers: [33, 53]
Generated Node #3: [33, 53] from Operation: 98-45=53
Current State: 20:[33, 53], Operations: ['99/3=33', '98-45=53']
Exploring Operation: 53-33=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
97,
87,
64,
42
] | 12 | [
"97-87=10",
"64-42=22",
"22-10=12"
] | Current State: 12:[97, 87, 64, 42], Operations: []
Exploring Operation: 97-87=10, Resulting Numbers: [64, 42, 10]
Generated Node #2: [64, 42, 10] from Operation: 97-87=10
Current State: 12:[64, 42, 10], Operations: ['97-87=10']
Exploring Operation: 64-42=22, Resulting Numbers: [10, 22]
Generated Node #3: [10, 22] from Operation: 64-42=22
Current State: 12:[10, 22], Operations: ['97-87=10', '64-42=22']
Exploring Operation: 22-10=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
53,
30,
64,
42
] | 60 | [
"64+42=106",
"106/53=2",
"30*2=60"
] | Current State: 60:[53, 30, 64, 42], Operations: []
Exploring Operation: 64+42=106, Resulting Numbers: [53, 30, 106]
Generated Node #2: [53, 30, 106] from Operation: 64+42=106
Current State: 60:[53, 30, 106], Operations: ['64+42=106']
Exploring Operation: 106/53=2, Resulting Numbers: [30, 2]
Generated Node #3: [30, 2] from Operation: 106/53=2
Current State: 60:[30, 2], Operations: ['64+42=106', '106/53=2']
Exploring Operation: 30*2=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
27,
49,
64,
32
] | 11 | [
"49-27=22",
"64/32=2",
"22/2=11"
] | Current State: 11:[27, 49, 64, 32], Operations: []
Exploring Operation: 49-27=22, Resulting Numbers: [64, 32, 22]
Generated Node #2: [64, 32, 22] from Operation: 49-27=22
Current State: 11:[64, 32, 22], Operations: ['49-27=22']
Exploring Operation: 64/32=2, Resulting Numbers: [22, 2]
Generated Node #3: [22, 2] from Operation: 64/32=2
Current State: 11:[22, 2], Operations: ['49-27=22', '64/32=2']
Exploring Operation: 22/2=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
86,
98,
77,
8
] | 26 | [
"86-77=9",
"8*9=72",
"98-72=26"
] | Current State: 26:[86, 98, 77, 8], Operations: []
Exploring Operation: 86-77=9, Resulting Numbers: [98, 8, 9]
Generated Node #2: [98, 8, 9] from Operation: 86-77=9
Current State: 26:[98, 8, 9], Operations: ['86-77=9']
Exploring Operation: 8*9=72, Resulting Numbers: [98, 72]
Generated Node #3: [98, 72] from Operation: 8*9=72
Current State: 26:[98, 72], Operations: ['86-77=9', '8*9=72']
Exploring Operation: 98-72=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
40,
84,
9,
51
] | 82 | [
"40+84=124",
"51-9=42",
"124-42=82"
] | Current State: 82:[40, 84, 9, 51], Operations: []
Exploring Operation: 40+84=124, Resulting Numbers: [9, 51, 124]
Generated Node #2: [9, 51, 124] from Operation: 40+84=124
Current State: 82:[9, 51, 124], Operations: ['40+84=124']
Exploring Operation: 51-9=42, Resulting Numbers: [124, 42]
Generated Node #3: [124, 42] from Operation: 51-9=42
Current State: 82:[124, 42], Operations: ['40+84=124', '51-9=42']
Exploring Operation: 124-42=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
92,
94,
39,
11
] | 100 | [
"94-92=2",
"39+11=50",
"2*50=100"
] | Current State: 100:[92, 94, 39, 11], Operations: []
Exploring Operation: 94-92=2, Resulting Numbers: [39, 11, 2]
Generated Node #2: [39, 11, 2] from Operation: 94-92=2
Current State: 100:[39, 11, 2], Operations: ['94-92=2']
Exploring Operation: 39+11=50, Resulting Numbers: [2, 50]
Generated Node #3: [2, 50] from Operation: 39+11=50
Current State: 100:[2, 50], Operations: ['94-92=2', '39+11=50']
Exploring Operation: 2*50=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
8,
94,
98,
6
] | 44 | [
"8*6=48",
"98-94=4",
"48-4=44"
] | Current State: 44:[8, 94, 98, 6], Operations: []
Exploring Operation: 8*6=48, Resulting Numbers: [94, 98, 48]
Generated Node #2: [94, 98, 48] from Operation: 8*6=48
Current State: 44:[94, 98, 48], Operations: ['8*6=48']
Exploring Operation: 98-94=4, Resulting Numbers: [48, 4]
Generated Node #3: [48, 4] from Operation: 98-94=4
Current State: 44:[48, 4], Operations: ['8*6=48', '98-94=4']
Exploring Operation: 48-4=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
38,
31,
74,
98
] | 31 | [
"38-31=7",
"98-74=24",
"7+24=31"
] | Current State: 31:[38, 31, 74, 98], Operations: []
Exploring Operation: 38-31=7, Resulting Numbers: [74, 98, 7]
Generated Node #2: [74, 98, 7] from Operation: 38-31=7
Current State: 31:[74, 98, 7], Operations: ['38-31=7']
Exploring Operation: 98-74=24, Resulting Numbers: [7, 24]
Generated Node #3: [7, 24] from Operation: 98-74=24
Current State: 31:[7, 24], Operations: ['38-31=7', '98-74=24']
Exploring Operation: 7+24=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
83,
26,
10,
85
] | 42 | [
"85-83=2",
"26*2=52",
"52-10=42"
] | Current State: 42:[83, 26, 10, 85], Operations: []
Exploring Operation: 85-83=2, Resulting Numbers: [26, 10, 2]
Generated Node #2: [26, 10, 2] from Operation: 85-83=2
Current State: 42:[26, 10, 2], Operations: ['85-83=2']
Exploring Operation: 26*2=52, Resulting Numbers: [10, 52]
Generated Node #3: [10, 52] from Operation: 26*2=52
Current State: 42:[10, 52], Operations: ['85-83=2', '26*2=52']
Exploring Operation: 52-10=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
87,
88,
31,
44
] | 76 | [
"88-87=1",
"31+44=75",
"1+75=76"
] | Current State: 76:[87, 88, 31, 44], Operations: []
Exploring Operation: 88-87=1, Resulting Numbers: [31, 44, 1]
Generated Node #2: [31, 44, 1] from Operation: 88-87=1
Current State: 76:[31, 44, 1], Operations: ['88-87=1']
Exploring Operation: 31+44=75, Resulting Numbers: [1, 75]
Generated Node #3: [1, 75] from Operation: 31+44=75
Current State: 76:[1, 75], Operations: ['88-87=1', '31+44=75']
Exploring Operation: 1+75=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
83,
62,
12,
9
] | 81 | [
"83-62=21",
"21-12=9",
"9*9=81"
] | Current State: 81:[83, 62, 12, 9], Operations: []
Exploring Operation: 83-62=21, Resulting Numbers: [12, 9, 21]
Generated Node #2: [12, 9, 21] from Operation: 83-62=21
Current State: 81:[12, 9, 21], Operations: ['83-62=21']
Exploring Operation: 21-12=9, Resulting Numbers: [9, 9]
Generated Node #3: [9, 9] from Operation: 21-12=9
Current State: 81:[9, 9], Operations: ['83-62=21', '21-12=9']
Exploring Operation: 9*9=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
32,
3,
89,
77
] | 36 | [
"89-77=12",
"12/3=4",
"32+4=36"
] | Current State: 36:[32, 3, 89, 77], Operations: []
Exploring Operation: 89-77=12, Resulting Numbers: [32, 3, 12]
Generated Node #2: [32, 3, 12] from Operation: 89-77=12
Current State: 36:[32, 3, 12], Operations: ['89-77=12']
Exploring Operation: 12/3=4, Resulting Numbers: [32, 4]
Generated Node #3: [32, 4] from Operation: 12/3=4
Current State: 36:[32, 4], Operations: ['89-77=12', '12/3=4']
Exploring Operation: 32+4=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
29,
93,
14,
87
] | 49 | [
"29+93=122",
"87-14=73",
"122-73=49"
] | Current State: 49:[29, 93, 14, 87], Operations: []
Exploring Operation: 29+93=122, Resulting Numbers: [14, 87, 122]
Generated Node #2: [14, 87, 122] from Operation: 29+93=122
Current State: 49:[14, 87, 122], Operations: ['29+93=122']
Exploring Operation: 87-14=73, Resulting Numbers: [122, 73]
Generated Node #3: [122, 73] from Operation: 87-14=73
Current State: 49:[122, 73], Operations: ['29+93=122', '87-14=73']
Exploring Operation: 122-73=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
34,
40,
16,
11
] | 82 | [
"40-34=6",
"11*6=66",
"16+66=82"
] | Current State: 82:[34, 40, 16, 11], Operations: []
Exploring Operation: 40-34=6, Resulting Numbers: [16, 11, 6]
Generated Node #2: [16, 11, 6] from Operation: 40-34=6
Current State: 82:[16, 11, 6], Operations: ['40-34=6']
Exploring Operation: 11*6=66, Resulting Numbers: [16, 66]
Generated Node #3: [16, 66] from Operation: 11*6=66
Current State: 82:[16, 66], Operations: ['40-34=6', '11*6=66']
Exploring Operation: 16+66=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
93,
83,
19,
41
] | 12 | [
"93-83=10",
"41-19=22",
"22-10=12"
] | Current State: 12:[93, 83, 19, 41], Operations: []
Exploring Operation: 93-83=10, Resulting Numbers: [19, 41, 10]
Generated Node #2: [19, 41, 10] from Operation: 93-83=10
Current State: 12:[19, 41, 10], Operations: ['93-83=10']
Exploring Operation: 41-19=22, Resulting Numbers: [10, 22]
Generated Node #3: [10, 22] from Operation: 41-19=22
Current State: 12:[10, 22], Operations: ['93-83=10', '41-19=22']
Exploring Operation: 22-10=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
3,
34,
71,
68
] | 31 | [
"68-34=34",
"3*34=102",
"102-71=31"
] | Current State: 31:[3, 34, 71, 68], Operations: []
Exploring Operation: 68-34=34, Resulting Numbers: [3, 71, 34]
Generated Node #2: [3, 71, 34] from Operation: 68-34=34
Current State: 31:[3, 71, 34], Operations: ['68-34=34']
Exploring Operation: 3*34=102, Resulting Numbers: [71, 102]
Generated Node #3: [71, 102] from Operation: 3*34=102
Current State: 31:[71, 102], Operations: ['68-34=34', '3*34=102']
Exploring Operation: 102-71=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
64,
40,
81,
96
] | 94 | [
"64*81=5184",
"5184/96=54",
"40+54=94"
] | Current State: 94:[64, 40, 81, 96], Operations: []
Exploring Operation: 64*81=5184, Resulting Numbers: [40, 96, 5184]
Generated Node #2: [40, 96, 5184] from Operation: 64*81=5184
Current State: 94:[40, 96, 5184], Operations: ['64*81=5184']
Exploring Operation: 5184/96=54, Resulting Numbers: [40, 54]
Generated Node #3: [40, 54] from Operation: 5184/96=54
Current State: 94:[40, 54], Operations: ['64*81=5184', '5184/96=54']
Exploring Operation: 40+54=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
34,
63,
31,
37
] | 58 | [
"34-31=3",
"63/3=21",
"37+21=58"
] | Current State: 58:[34, 63, 31, 37], Operations: []
Exploring Operation: 34-31=3, Resulting Numbers: [63, 37, 3]
Generated Node #2: [63, 37, 3] from Operation: 34-31=3
Current State: 58:[63, 37, 3], Operations: ['34-31=3']
Exploring Operation: 63/3=21, Resulting Numbers: [37, 21]
Generated Node #3: [37, 21] from Operation: 63/3=21
Current State: 58:[37, 21], Operations: ['34-31=3', '63/3=21']
Exploring Operation: 37+21=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
6,
9,
34,
64
] | 83 | [
"6+9=15",
"34+64=98",
"98-15=83"
] | Current State: 83:[6, 9, 34, 64], Operations: []
Exploring Operation: 6+9=15, Resulting Numbers: [34, 64, 15]
Generated Node #2: [34, 64, 15] from Operation: 6+9=15
Current State: 83:[34, 64, 15], Operations: ['6+9=15']
Exploring Operation: 34+64=98, Resulting Numbers: [15, 98]
Generated Node #3: [15, 98] from Operation: 34+64=98
Current State: 83:[15, 98], Operations: ['6+9=15', '34+64=98']
Exploring Operation: 98-15=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
1,
1,
69,
59
] | 69 | [
"1-1=0",
"59*0=0",
"69+0=69"
] | Current State: 69:[1, 1, 69, 59], Operations: []
Exploring Operation: 1-1=0, Resulting Numbers: [69, 59, 0]
Generated Node #2: [69, 59, 0] from Operation: 1-1=0
Current State: 69:[69, 59, 0], Operations: ['1-1=0']
Exploring Operation: 59*0=0, Resulting Numbers: [69, 0]
Generated Node #3: [69, 0] from Operation: 59*0=0
Current State: 69:[69, 0], Operations: ['1-1=0', '59*0=0']
Exploring Operation: 69+0=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
25,
11,
42,
68
] | 62 | [
"25+11=36",
"68-42=26",
"36+26=62"
] | Current State: 62:[25, 11, 42, 68], Operations: []
Exploring Operation: 25+11=36, Resulting Numbers: [42, 68, 36]
Generated Node #2: [42, 68, 36] from Operation: 25+11=36
Current State: 62:[42, 68, 36], Operations: ['25+11=36']
Exploring Operation: 68-42=26, Resulting Numbers: [36, 26]
Generated Node #3: [36, 26] from Operation: 68-42=26
Current State: 62:[36, 26], Operations: ['25+11=36', '68-42=26']
Exploring Operation: 36+26=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
95,
86,
23,
6
] | 77 | [
"95-86=9",
"6*9=54",
"23+54=77"
] | Current State: 77:[95, 86, 23, 6], Operations: []
Exploring Operation: 95-86=9, Resulting Numbers: [23, 6, 9]
Generated Node #2: [23, 6, 9] from Operation: 95-86=9
Current State: 77:[23, 6, 9], Operations: ['95-86=9']
Exploring Operation: 6*9=54, Resulting Numbers: [23, 54]
Generated Node #3: [23, 54] from Operation: 6*9=54
Current State: 77:[23, 54], Operations: ['95-86=9', '6*9=54']
Exploring Operation: 23+54=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
50,
32,
10,
14
] | 23 | [
"50/10=5",
"32-14=18",
"5+18=23"
] | Current State: 23:[50, 32, 10, 14], Operations: []
Exploring Operation: 50/10=5, Resulting Numbers: [32, 14, 5]
Generated Node #2: [32, 14, 5] from Operation: 50/10=5
Current State: 23:[32, 14, 5], Operations: ['50/10=5']
Exploring Operation: 32-14=18, Resulting Numbers: [5, 18]
Generated Node #3: [5, 18] from Operation: 32-14=18
Current State: 23:[5, 18], Operations: ['50/10=5', '32-14=18']
Exploring Operation: 5+18=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
18,
62,
54,
96
] | 30 | [
"54/18=3",
"96/3=32",
"62-32=30"
] | Current State: 30:[18, 62, 54, 96], Operations: []
Exploring Operation: 54/18=3, Resulting Numbers: [62, 96, 3]
Generated Node #2: [62, 96, 3] from Operation: 54/18=3
Current State: 30:[62, 96, 3], Operations: ['54/18=3']
Exploring Operation: 96/3=32, Resulting Numbers: [62, 32]
Generated Node #3: [62, 32] from Operation: 96/3=32
Current State: 30:[62, 32], Operations: ['54/18=3', '96/3=32']
Exploring Operation: 62-32=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
69,
68,
56,
93
] | 92 | [
"68+56=124",
"69*124=8556",
"8556/93=92"
] | Current State: 92:[69, 68, 56, 93], Operations: []
Exploring Operation: 68+56=124, Resulting Numbers: [69, 93, 124]
Generated Node #2: [69, 93, 124] from Operation: 68+56=124
Current State: 92:[69, 93, 124], Operations: ['68+56=124']
Exploring Operation: 69*124=8556, Resulting Numbers: [93, 8556]
Generated Node #3: [93, 8556] from Operation: 69*124=8556
Current State: 92:[93, 8556], Operations: ['68+56=124', '69*124=8556']
Exploring Operation: 8556/93=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
87,
7,
31,
88
] | 38 | [
"88-87=1",
"7+31=38",
"1*38=38"
] | Current State: 38:[87, 7, 31, 88], Operations: []
Exploring Operation: 88-87=1, Resulting Numbers: [7, 31, 1]
Generated Node #2: [7, 31, 1] from Operation: 88-87=1
Current State: 38:[7, 31, 1], Operations: ['88-87=1']
Exploring Operation: 7+31=38, Resulting Numbers: [1, 38]
Generated Node #3: [1, 38] from Operation: 7+31=38
Current State: 38:[1, 38], Operations: ['88-87=1', '7+31=38']
Exploring Operation: 1*38=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
50,
1,
72,
77
] | 100 | [
"50-1=49",
"72+77=149",
"149-49=100"
] | Current State: 100:[50, 1, 72, 77], Operations: []
Exploring Operation: 50-1=49, Resulting Numbers: [72, 77, 49]
Generated Node #2: [72, 77, 49] from Operation: 50-1=49
Current State: 100:[72, 77, 49], Operations: ['50-1=49']
Exploring Operation: 72+77=149, Resulting Numbers: [49, 149]
Generated Node #3: [49, 149] from Operation: 72+77=149
Current State: 100:[49, 149], Operations: ['50-1=49', '72+77=149']
Exploring Operation: 149-49=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
68,
72,
18,
3
] | 56 | [
"72/18=4",
"3*4=12",
"68-12=56"
] | Current State: 56:[68, 72, 18, 3], Operations: []
Exploring Operation: 72/18=4, Resulting Numbers: [68, 3, 4]
Generated Node #2: [68, 3, 4] from Operation: 72/18=4
Current State: 56:[68, 3, 4], Operations: ['72/18=4']
Exploring Operation: 3*4=12, Resulting Numbers: [68, 12]
Generated Node #3: [68, 12] from Operation: 3*4=12
Current State: 56:[68, 12], Operations: ['72/18=4', '3*4=12']
Exploring Operation: 68-12=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
63,
7,
16,
1
] | 50 | [
"63-1=62",
"7*16=112",
"112-62=50"
] | Current State: 50:[63, 7, 16, 1], Operations: []
Exploring Operation: 63-1=62, Resulting Numbers: [7, 16, 62]
Generated Node #2: [7, 16, 62] from Operation: 63-1=62
Current State: 50:[7, 16, 62], Operations: ['63-1=62']
Exploring Operation: 7*16=112, Resulting Numbers: [62, 112]
Generated Node #3: [62, 112] from Operation: 7*16=112
Current State: 50:[62, 112], Operations: ['63-1=62', '7*16=112']
Exploring Operation: 112-62=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
35,
46,
38,
3
] | 33 | [
"35+46=81",
"38*3=114",
"114-81=33"
] | Current State: 33:[35, 46, 38, 3], Operations: []
Exploring Operation: 35+46=81, Resulting Numbers: [38, 3, 81]
Generated Node #2: [38, 3, 81] from Operation: 35+46=81
Current State: 33:[38, 3, 81], Operations: ['35+46=81']
Exploring Operation: 38*3=114, Resulting Numbers: [81, 114]
Generated Node #3: [81, 114] from Operation: 38*3=114
Current State: 33:[81, 114], Operations: ['35+46=81', '38*3=114']
Exploring Operation: 114-81=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
16,
59,
69,
5
] | 31 | [
"59-16=43",
"69+5=74",
"74-43=31"
] | Current State: 31:[16, 59, 69, 5], Operations: []
Exploring Operation: 59-16=43, Resulting Numbers: [69, 5, 43]
Generated Node #2: [69, 5, 43] from Operation: 59-16=43
Current State: 31:[69, 5, 43], Operations: ['59-16=43']
Exploring Operation: 69+5=74, Resulting Numbers: [43, 74]
Generated Node #3: [43, 74] from Operation: 69+5=74
Current State: 31:[43, 74], Operations: ['59-16=43', '69+5=74']
Exploring Operation: 74-43=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
77,
13,
61,
39
] | 48 | [
"77-61=16",
"39/13=3",
"16*3=48"
] | Current State: 48:[77, 13, 61, 39], Operations: []
Exploring Operation: 77-61=16, Resulting Numbers: [13, 39, 16]
Generated Node #2: [13, 39, 16] from Operation: 77-61=16
Current State: 48:[13, 39, 16], Operations: ['77-61=16']
Exploring Operation: 39/13=3, Resulting Numbers: [16, 3]
Generated Node #3: [16, 3] from Operation: 39/13=3
Current State: 48:[16, 3], Operations: ['77-61=16', '39/13=3']
Exploring Operation: 16*3=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
91,
3,
50,
37
] | 32 | [
"91-37=54",
"54/3=18",
"50-18=32"
] | Current State: 32:[91, 3, 50, 37], Operations: []
Exploring Operation: 91-37=54, Resulting Numbers: [3, 50, 54]
Generated Node #2: [3, 50, 54] from Operation: 91-37=54
Current State: 32:[3, 50, 54], Operations: ['91-37=54']
Exploring Operation: 54/3=18, Resulting Numbers: [50, 18]
Generated Node #3: [50, 18] from Operation: 54/3=18
Current State: 32:[50, 18], Operations: ['91-37=54', '54/3=18']
Exploring Operation: 50-18=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
75,
67,
54,
12
] | 74 | [
"75-67=8",
"54+12=66",
"8+66=74"
] | Current State: 74:[75, 67, 54, 12], Operations: []
Exploring Operation: 75-67=8, Resulting Numbers: [54, 12, 8]
Generated Node #2: [54, 12, 8] from Operation: 75-67=8
Current State: 74:[54, 12, 8], Operations: ['75-67=8']
Exploring Operation: 54+12=66, Resulting Numbers: [8, 66]
Generated Node #3: [8, 66] from Operation: 54+12=66
Current State: 74:[8, 66], Operations: ['75-67=8', '54+12=66']
Exploring Operation: 8+66=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
22,
8,
36,
10
] | 94 | [
"36-22=14",
"8*10=80",
"14+80=94"
] | Current State: 94:[22, 8, 36, 10], Operations: []
Exploring Operation: 36-22=14, Resulting Numbers: [8, 10, 14]
Generated Node #2: [8, 10, 14] from Operation: 36-22=14
Current State: 94:[8, 10, 14], Operations: ['36-22=14']
Exploring Operation: 8*10=80, Resulting Numbers: [14, 80]
Generated Node #3: [14, 80] from Operation: 8*10=80
Current State: 94:[14, 80], Operations: ['36-22=14', '8*10=80']
Exploring Operation: 14+80=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
57,
46,
11,
44
] | 92 | [
"57-11=46",
"46-44=2",
"46*2=92"
] | Current State: 92:[57, 46, 11, 44], Operations: []
Exploring Operation: 57-11=46, Resulting Numbers: [46, 44, 46]
Generated Node #2: [46, 44, 46] from Operation: 57-11=46
Current State: 92:[46, 44, 46], Operations: ['57-11=46']
Exploring Operation: 46-44=2, Resulting Numbers: [2]
2,92 equal: Goal Reached
Exploring Operation: 46*2=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
74,
9,
51,
81
] | 14 | [
"74-51=23",
"81/9=9",
"23-9=14"
] | Current State: 14:[74, 9, 51, 81], Operations: []
Exploring Operation: 74-51=23, Resulting Numbers: [9, 81, 23]
Generated Node #2: [9, 81, 23] from Operation: 74-51=23
Current State: 14:[9, 81, 23], Operations: ['74-51=23']
Exploring Operation: 81/9=9, Resulting Numbers: [23, 9]
Generated Node #3: [23, 9] from Operation: 81/9=9
Current State: 14:[23, 9], Operations: ['74-51=23', '81/9=9']
Exploring Operation: 23-9=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
65,
67,
34,
79
] | 43 | [
"67-65=2",
"79-34=45",
"45-2=43"
] | Current State: 43:[65, 67, 34, 79], Operations: []
Exploring Operation: 67-65=2, Resulting Numbers: [34, 79, 2]
Generated Node #2: [34, 79, 2] from Operation: 67-65=2
Current State: 43:[34, 79, 2], Operations: ['67-65=2']
Exploring Operation: 79-34=45, Resulting Numbers: [2, 45]
Generated Node #3: [2, 45] from Operation: 79-34=45
Current State: 43:[2, 45], Operations: ['67-65=2', '79-34=45']
Exploring Operation: 45-2=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
69,
38,
9,
79
] | 52 | [
"79-69=10",
"9*10=90",
"90-38=52"
] | Current State: 52:[69, 38, 9, 79], Operations: []
Exploring Operation: 79-69=10, Resulting Numbers: [38, 9, 10]
Generated Node #2: [38, 9, 10] from Operation: 79-69=10
Current State: 52:[38, 9, 10], Operations: ['79-69=10']
Exploring Operation: 9*10=90, Resulting Numbers: [38, 90]
Generated Node #3: [38, 90] from Operation: 9*10=90
Current State: 52:[38, 90], Operations: ['79-69=10', '9*10=90']
Exploring Operation: 90-38=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
48,
5,
24,
55
] | 65 | [
"48*5=240",
"240/24=10",
"55+10=65"
] | Current State: 65:[48, 5, 24, 55], Operations: []
Exploring Operation: 48*5=240, Resulting Numbers: [24, 55, 240]
Generated Node #2: [24, 55, 240] from Operation: 48*5=240
Current State: 65:[24, 55, 240], Operations: ['48*5=240']
Exploring Operation: 240/24=10, Resulting Numbers: [55, 10]
Generated Node #3: [55, 10] from Operation: 240/24=10
Current State: 65:[55, 10], Operations: ['48*5=240', '240/24=10']
Exploring Operation: 55+10=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
27,
43,
96,
8
] | 88 | [
"43-27=16",
"96+8=104",
"104-16=88"
] | Current State: 88:[27, 43, 96, 8], Operations: []
Exploring Operation: 43-27=16, Resulting Numbers: [96, 8, 16]
Generated Node #2: [96, 8, 16] from Operation: 43-27=16
Current State: 88:[96, 8, 16], Operations: ['43-27=16']
Exploring Operation: 96+8=104, Resulting Numbers: [16, 104]
Generated Node #3: [16, 104] from Operation: 96+8=104
Current State: 88:[16, 104], Operations: ['43-27=16', '96+8=104']
Exploring Operation: 104-16=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
22,
72,
2,
88
] | 60 | [
"22*2=44",
"88-72=16",
"44+16=60"
] | Current State: 60:[22, 72, 2, 88], Operations: []
Exploring Operation: 22*2=44, Resulting Numbers: [72, 88, 44]
Generated Node #2: [72, 88, 44] from Operation: 22*2=44
Current State: 60:[72, 88, 44], Operations: ['22*2=44']
Exploring Operation: 88-72=16, Resulting Numbers: [44, 16]
Generated Node #3: [44, 16] from Operation: 88-72=16
Current State: 60:[44, 16], Operations: ['22*2=44', '88-72=16']
Exploring Operation: 44+16=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
56,
54,
1,
21
] | 19 | [
"56-54=2",
"1*21=21",
"21-2=19"
] | Current State: 19:[56, 54, 1, 21], Operations: []
Exploring Operation: 56-54=2, Resulting Numbers: [1, 21, 2]
Generated Node #2: [1, 21, 2] from Operation: 56-54=2
Current State: 19:[1, 21, 2], Operations: ['56-54=2']
Exploring Operation: 1*21=21, Resulting Numbers: [2, 21]
Generated Node #3: [2, 21] from Operation: 1*21=21
Current State: 19:[2, 21], Operations: ['56-54=2', '1*21=21']
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
24,
3,
32,
6
] | 74 | [
"24+32=56",
"3*6=18",
"56+18=74"
] | Current State: 74:[24, 3, 32, 6], Operations: []
Exploring Operation: 24+32=56, Resulting Numbers: [3, 6, 56]
Generated Node #2: [3, 6, 56] from Operation: 24+32=56
Current State: 74:[3, 6, 56], Operations: ['24+32=56']
Exploring Operation: 3*6=18, Resulting Numbers: [56, 18]
Generated Node #3: [56, 18] from Operation: 3*6=18
Current State: 74:[56, 18], Operations: ['24+32=56', '3*6=18']
Exploring Operation: 56+18=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
86,
58,
29,
37
] | 36 | [
"86-58=28",
"37-29=8",
"28+8=36"
] | Current State: 36:[86, 58, 29, 37], Operations: []
Exploring Operation: 86-58=28, Resulting Numbers: [29, 37, 28]
Generated Node #2: [29, 37, 28] from Operation: 86-58=28
Current State: 36:[29, 37, 28], Operations: ['86-58=28']
Exploring Operation: 37-29=8, Resulting Numbers: [28, 8]
Generated Node #3: [28, 8] from Operation: 37-29=8
Current State: 36:[28, 8], Operations: ['86-58=28', '37-29=8']
Exploring Operation: 28+8=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
8,
11,
6,
69
] | 24 | [
"11*6=66",
"69-66=3",
"8*3=24"
] | Current State: 24:[8, 11, 6, 69], Operations: []
Exploring Operation: 11*6=66, Resulting Numbers: [8, 69, 66]
Generated Node #2: [8, 69, 66] from Operation: 11*6=66
Current State: 24:[8, 69, 66], Operations: ['11*6=66']
Exploring Operation: 69-66=3, Resulting Numbers: [8, 3]
Generated Node #3: [8, 3] from Operation: 69-66=3
Current State: 24:[8, 3], Operations: ['11*6=66', '69-66=3']
Exploring Operation: 8*3=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
39,
29,
11,
15
] | 43 | [
"29+15=44",
"44/11=4",
"39+4=43"
] | Current State: 43:[39, 29, 11, 15], Operations: []
Exploring Operation: 29+15=44, Resulting Numbers: [39, 11, 44]
Generated Node #2: [39, 11, 44] from Operation: 29+15=44
Current State: 43:[39, 11, 44], Operations: ['29+15=44']
Exploring Operation: 44/11=4, Resulting Numbers: [39, 4]
Generated Node #3: [39, 4] from Operation: 44/11=4
Current State: 43:[39, 4], Operations: ['29+15=44', '44/11=4']
Exploring Operation: 39+4=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
45,
15,
88,
71
] | 20 | [
"45/15=3",
"88-71=17",
"3+17=20"
] | Current State: 20:[45, 15, 88, 71], Operations: []
Exploring Operation: 45/15=3, Resulting Numbers: [88, 71, 3]
Generated Node #2: [88, 71, 3] from Operation: 45/15=3
Current State: 20:[88, 71, 3], Operations: ['45/15=3']
Exploring Operation: 88-71=17, Resulting Numbers: [3, 17]
Generated Node #3: [3, 17] from Operation: 88-71=17
Current State: 20:[3, 17], Operations: ['45/15=3', '88-71=17']
Exploring Operation: 3+17=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
61,
63,
18,
61
] | 44 | [
"61/61=1",
"63-18=45",
"45-1=44"
] | Current State: 44:[61, 63, 18, 61], Operations: []
Exploring Operation: 61/61=1, Resulting Numbers: [63, 18, 1]
Generated Node #2: [63, 18, 1] from Operation: 61/61=1
Current State: 44:[63, 18, 1], Operations: ['61/61=1']
Exploring Operation: 63-18=45, Resulting Numbers: [1, 45]
Generated Node #3: [1, 45] from Operation: 63-18=45
Current State: 44:[1, 45], Operations: ['61/61=1', '63-18=45']
Exploring Operation: 45-1=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
94,
12,
72,
18
] | 33 | [
"94-72=22",
"18*22=396",
"396/12=33"
] | Current State: 33:[94, 12, 72, 18], Operations: []
Exploring Operation: 94-72=22, Resulting Numbers: [12, 18, 22]
Generated Node #2: [12, 18, 22] from Operation: 94-72=22
Current State: 33:[12, 18, 22], Operations: ['94-72=22']
Exploring Operation: 18*22=396, Resulting Numbers: [12, 396]
Generated Node #3: [12, 396] from Operation: 18*22=396
Current State: 33:[12, 396], Operations: ['94-72=22', '18*22=396']
Exploring Operation: 396/12=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
23,
57,
95,
62
] | 77 | [
"23+57=80",
"95+62=157",
"157-80=77"
] | Current State: 77:[23, 57, 95, 62], Operations: []
Exploring Operation: 23+57=80, Resulting Numbers: [95, 62, 80]
Generated Node #2: [95, 62, 80] from Operation: 23+57=80
Current State: 77:[95, 62, 80], Operations: ['23+57=80']
Exploring Operation: 95+62=157, Resulting Numbers: [80, 157]
Generated Node #3: [80, 157] from Operation: 95+62=157
Current State: 77:[80, 157], Operations: ['23+57=80', '95+62=157']
Exploring Operation: 157-80=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
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