nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
23,
96,
93,
22
] | 42 | [
"96-23=73",
"93+22=115",
"115-73=42"
] | Current State: 42:[23, 96, 93, 22], Operations: []
Exploring Operation: 96-23=73, Resulting Numbers: [93, 22, 73]
Generated Node #2: [93, 22, 73] from Operation: 96-23=73
Current State: 42:[93, 22, 73], Operations: ['96-23=73']
Exploring Operation: 93+22=115, Resulting Numbers: [73, 115]
Generated Node #3: [73, 115] from Operation: 93+22=115
Current State: 42:[73, 115], Operations: ['96-23=73', '93+22=115']
Exploring Operation: 115-73=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
73,
84,
67,
87
] | 73 | [
"73-67=6",
"84/6=14",
"87-14=73"
] | Current State: 73:[73, 84, 67, 87], Operations: []
Exploring Operation: 73-67=6, Resulting Numbers: [84, 87, 6]
Generated Node #2: [84, 87, 6] from Operation: 73-67=6
Current State: 73:[84, 87, 6], Operations: ['73-67=6']
Exploring Operation: 84/6=14, Resulting Numbers: [87, 14]
Generated Node #3: [87, 14] from Operation: 84/6=14
Current State: 73:[87, 14], Operations: ['73-67=6', '84/6=14']
Exploring Operation: 87-14=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
4,
34,
59,
36
] | 53 | [
"34-4=30",
"59-36=23",
"30+23=53"
] | Current State: 53:[4, 34, 59, 36], Operations: []
Exploring Operation: 34-4=30, Resulting Numbers: [59, 36, 30]
Generated Node #2: [59, 36, 30] from Operation: 34-4=30
Current State: 53:[59, 36, 30], Operations: ['34-4=30']
Exploring Operation: 59-36=23, Resulting Numbers: [30, 23]
Generated Node #3: [30, 23] from Operation: 59-36=23
Current State: 53:[30, 23], Operations: ['34-4=30', '59-36=23']
Exploring Operation: 30+23=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
24,
54,
22,
76
] | 68 | [
"54-24=30",
"22+76=98",
"98-30=68"
] | Current State: 68:[24, 54, 22, 76], Operations: []
Exploring Operation: 54-24=30, Resulting Numbers: [22, 76, 30]
Generated Node #2: [22, 76, 30] from Operation: 54-24=30
Current State: 68:[22, 76, 30], Operations: ['54-24=30']
Exploring Operation: 22+76=98, Resulting Numbers: [30, 98]
Generated Node #3: [30, 98] from Operation: 22+76=98
Current State: 68:[30, 98], Operations: ['54-24=30', '22+76=98']
Exploring Operation: 98-30=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
36,
91,
90,
72
] | 92 | [
"72/36=2",
"91*2=182",
"182-90=92"
] | Current State: 92:[36, 91, 90, 72], Operations: []
Exploring Operation: 72/36=2, Resulting Numbers: [91, 90, 2]
Generated Node #2: [91, 90, 2] from Operation: 72/36=2
Current State: 92:[91, 90, 2], Operations: ['72/36=2']
Exploring Operation: 91*2=182, Resulting Numbers: [90, 182]
Generated Node #3: [90, 182] from Operation: 91*2=182
Current State: 92:[90, 182], Operations: ['72/36=2', '91*2=182']
Exploring Operation: 182-90=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
42,
99,
82,
70
] | 95 | [
"99-42=57",
"82+70=152",
"152-57=95"
] | Current State: 95:[42, 99, 82, 70], Operations: []
Exploring Operation: 99-42=57, Resulting Numbers: [82, 70, 57]
Generated Node #2: [82, 70, 57] from Operation: 99-42=57
Current State: 95:[82, 70, 57], Operations: ['99-42=57']
Exploring Operation: 82+70=152, Resulting Numbers: [57, 152]
Generated Node #3: [57, 152] from Operation: 82+70=152
Current State: 95:[57, 152], Operations: ['99-42=57', '82+70=152']
Exploring Operation: 152-57=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
88,
12,
5,
30
] | 41 | [
"88-12=76",
"5+30=35",
"76-35=41"
] | Current State: 41:[88, 12, 5, 30], Operations: []
Exploring Operation: 88-12=76, Resulting Numbers: [5, 30, 76]
Generated Node #2: [5, 30, 76] from Operation: 88-12=76
Current State: 41:[5, 30, 76], Operations: ['88-12=76']
Exploring Operation: 5+30=35, Resulting Numbers: [76, 35]
Generated Node #3: [76, 35] from Operation: 5+30=35
Current State: 41:[76, 35], Operations: ['88-12=76', '5+30=35']
Exploring Operation: 76-35=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
41,
12,
11,
99
] | 38 | [
"41-12=29",
"99/11=9",
"29+9=38"
] | Current State: 38:[41, 12, 11, 99], Operations: []
Exploring Operation: 41-12=29, Resulting Numbers: [11, 99, 29]
Generated Node #2: [11, 99, 29] from Operation: 41-12=29
Current State: 38:[11, 99, 29], Operations: ['41-12=29']
Exploring Operation: 99/11=9, Resulting Numbers: [29, 9]
Generated Node #3: [29, 9] from Operation: 99/11=9
Current State: 38:[29, 9], Operations: ['41-12=29', '99/11=9']
Exploring Operation: 29+9=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
1,
34,
3,
15
] | 15 | [
"34-1=33",
"3+15=18",
"33-18=15"
] | Current State: 15:[1, 34, 3, 15], Operations: []
Exploring Operation: 34-1=33, Resulting Numbers: [3, 15, 33]
Generated Node #2: [3, 15, 33] from Operation: 34-1=33
Current State: 15:[3, 15, 33], Operations: ['34-1=33']
Exploring Operation: 3+15=18, Resulting Numbers: [33, 18]
Generated Node #3: [33, 18] from Operation: 3+15=18
Current State: 15:[33, 18], Operations: ['34-1=33', '3+15=18']
Exploring Operation: 33-18=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
31,
31,
17,
77
] | 93 | [
"31/31=1",
"17+77=94",
"94-1=93"
] | Current State: 93:[31, 31, 17, 77], Operations: []
Exploring Operation: 31/31=1, Resulting Numbers: [17, 77, 1]
Generated Node #2: [17, 77, 1] from Operation: 31/31=1
Current State: 93:[17, 77, 1], Operations: ['31/31=1']
Exploring Operation: 17+77=94, Resulting Numbers: [1, 94]
Generated Node #3: [1, 94] from Operation: 17+77=94
Current State: 93:[1, 94], Operations: ['31/31=1', '17+77=94']
Exploring Operation: 94-1=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
4,
60,
53,
2
] | 23 | [
"60/4=15",
"2*15=30",
"53-30=23"
] | Current State: 23:[4, 60, 53, 2], Operations: []
Exploring Operation: 60/4=15, Resulting Numbers: [53, 2, 15]
Generated Node #2: [53, 2, 15] from Operation: 60/4=15
Current State: 23:[53, 2, 15], Operations: ['60/4=15']
Exploring Operation: 2*15=30, Resulting Numbers: [53, 30]
Generated Node #3: [53, 30] from Operation: 2*15=30
Current State: 23:[53, 30], Operations: ['60/4=15', '2*15=30']
Exploring Operation: 53-30=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
69,
48,
73,
56
] | 12 | [
"69+48=117",
"73+56=129",
"129-117=12"
] | Current State: 12:[69, 48, 73, 56], Operations: []
Exploring Operation: 69+48=117, Resulting Numbers: [73, 56, 117]
Generated Node #2: [73, 56, 117] from Operation: 69+48=117
Current State: 12:[73, 56, 117], Operations: ['69+48=117']
Exploring Operation: 73+56=129, Resulting Numbers: [117, 129]
Generated Node #3: [117, 129] from Operation: 73+56=129
Current State: 12:[117, 129], Operations: ['69+48=117', '73+56=129']
Exploring Operation: 129-117=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
61,
34,
63,
1
] | 16 | [
"63-61=2",
"34/2=17",
"17-1=16"
] | Current State: 16:[61, 34, 63, 1], Operations: []
Exploring Operation: 63-61=2, Resulting Numbers: [34, 1, 2]
Generated Node #2: [34, 1, 2] from Operation: 63-61=2
Current State: 16:[34, 1, 2], Operations: ['63-61=2']
Exploring Operation: 34/2=17, Resulting Numbers: [1, 17]
Generated Node #3: [1, 17] from Operation: 34/2=17
Current State: 16:[1, 17], Operations: ['63-61=2', '34/2=17']
Exploring Operation: 17-1=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
13,
12,
94,
90
] | 21 | [
"13+12=25",
"94-90=4",
"25-4=21"
] | Current State: 21:[13, 12, 94, 90], Operations: []
Exploring Operation: 13+12=25, Resulting Numbers: [94, 90, 25]
Generated Node #2: [94, 90, 25] from Operation: 13+12=25
Current State: 21:[94, 90, 25], Operations: ['13+12=25']
Exploring Operation: 94-90=4, Resulting Numbers: [25, 4]
Generated Node #3: [25, 4] from Operation: 94-90=4
Current State: 21:[25, 4], Operations: ['13+12=25', '94-90=4']
Exploring Operation: 25-4=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
84,
83,
81,
89
] | 94 | [
"83-81=2",
"89*2=178",
"178-84=94"
] | Current State: 94:[84, 83, 81, 89], Operations: []
Exploring Operation: 83-81=2, Resulting Numbers: [84, 89, 2]
Generated Node #2: [84, 89, 2] from Operation: 83-81=2
Current State: 94:[84, 89, 2], Operations: ['83-81=2']
Exploring Operation: 89*2=178, Resulting Numbers: [84, 178]
Generated Node #3: [84, 178] from Operation: 89*2=178
Current State: 94:[84, 178], Operations: ['83-81=2', '89*2=178']
Exploring Operation: 178-84=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
87,
18,
32,
8
] | 89 | [
"87-32=55",
"18*8=144",
"144-55=89"
] | Current State: 89:[87, 18, 32, 8], Operations: []
Exploring Operation: 87-32=55, Resulting Numbers: [18, 8, 55]
Generated Node #2: [18, 8, 55] from Operation: 87-32=55
Current State: 89:[18, 8, 55], Operations: ['87-32=55']
Exploring Operation: 18*8=144, Resulting Numbers: [55, 144]
Generated Node #3: [55, 144] from Operation: 18*8=144
Current State: 89:[55, 144], Operations: ['87-32=55', '18*8=144']
Exploring Operation: 144-55=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
50,
45,
89,
70
] | 14 | [
"50-45=5",
"89-70=19",
"19-5=14"
] | Current State: 14:[50, 45, 89, 70], Operations: []
Exploring Operation: 50-45=5, Resulting Numbers: [89, 70, 5]
Generated Node #2: [89, 70, 5] from Operation: 50-45=5
Current State: 14:[89, 70, 5], Operations: ['50-45=5']
Exploring Operation: 89-70=19, Resulting Numbers: [5, 19]
Generated Node #3: [5, 19] from Operation: 89-70=19
Current State: 14:[5, 19], Operations: ['50-45=5', '89-70=19']
Exploring Operation: 19-5=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
72,
26,
52,
2
] | 85 | [
"52-26=26",
"26/2=13",
"72+13=85"
] | Current State: 85:[72, 26, 52, 2], Operations: []
Exploring Operation: 52-26=26, Resulting Numbers: [72, 2, 26]
Generated Node #2: [72, 2, 26] from Operation: 52-26=26
Current State: 85:[72, 2, 26], Operations: ['52-26=26']
Exploring Operation: 26/2=13, Resulting Numbers: [72, 13]
Generated Node #3: [72, 13] from Operation: 26/2=13
Current State: 85:[72, 13], Operations: ['52-26=26', '26/2=13']
Exploring Operation: 72+13=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
35,
51,
5,
83
] | 39 | [
"35/5=7",
"83-51=32",
"7+32=39"
] | Current State: 39:[35, 51, 5, 83], Operations: []
Exploring Operation: 35/5=7, Resulting Numbers: [51, 83, 7]
Generated Node #2: [51, 83, 7] from Operation: 35/5=7
Current State: 39:[51, 83, 7], Operations: ['35/5=7']
Exploring Operation: 83-51=32, Resulting Numbers: [7, 32]
Generated Node #3: [7, 32] from Operation: 83-51=32
Current State: 39:[7, 32], Operations: ['35/5=7', '83-51=32']
Exploring Operation: 7+32=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
45,
18,
99,
6
] | 27 | [
"45+18=63",
"99+63=162",
"162/6=27"
] | Current State: 27:[45, 18, 99, 6], Operations: []
Exploring Operation: 45+18=63, Resulting Numbers: [99, 6, 63]
Generated Node #2: [99, 6, 63] from Operation: 45+18=63
Current State: 27:[99, 6, 63], Operations: ['45+18=63']
Exploring Operation: 99+63=162, Resulting Numbers: [6, 162]
Generated Node #3: [6, 162] from Operation: 99+63=162
Current State: 27:[6, 162], Operations: ['45+18=63', '99+63=162']
Exploring Operation: 162/6=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
65,
54,
61,
59
] | 89 | [
"65*54=3510",
"61*59=3599",
"3599-3510=89"
] | Current State: 89:[65, 54, 61, 59], Operations: []
Exploring Operation: 65*54=3510, Resulting Numbers: [61, 59, 3510]
Generated Node #2: [61, 59, 3510] from Operation: 65*54=3510
Current State: 89:[61, 59, 3510], Operations: ['65*54=3510']
Exploring Operation: 61*59=3599, Resulting Numbers: [3510, 3599]
Generated Node #3: [3510, 3599] from Operation: 61*59=3599
Current State: 89:[3510, 3599], Operations: ['65*54=3510', '61*59=3599']
Exploring Operation: 3599-3510=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
26,
1,
26,
38
] | 89 | [
"26-1=25",
"26+38=64",
"25+64=89"
] | Current State: 89:[26, 1, 26, 38], Operations: []
Exploring Operation: 26-1=25, Resulting Numbers: [38, 25]
Generated Node #2: [38, 25] from Operation: 26-1=25
Current State: 89:[38, 25], Operations: ['26-1=25']
Exploring Operation: 26+38=64, Resulting Numbers: [25, 64]
Generated Node #3: [25, 64] from Operation: 26+38=64
Current State: 89:[25, 64], Operations: ['26-1=25', '26+38=64']
Exploring Operation: 25+64=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
18,
89,
92,
37
] | 17 | [
"92-89=3",
"18*3=54",
"54-37=17"
] | Current State: 17:[18, 89, 92, 37], Operations: []
Exploring Operation: 92-89=3, Resulting Numbers: [18, 37, 3]
Generated Node #2: [18, 37, 3] from Operation: 92-89=3
Current State: 17:[18, 37, 3], Operations: ['92-89=3']
Exploring Operation: 18*3=54, Resulting Numbers: [37, 54]
Generated Node #3: [37, 54] from Operation: 18*3=54
Current State: 17:[37, 54], Operations: ['92-89=3', '18*3=54']
Exploring Operation: 54-37=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
28,
12,
24,
80
] | 50 | [
"80-28=52",
"24/12=2",
"52-2=50"
] | Current State: 50:[28, 12, 24, 80], Operations: []
Exploring Operation: 80-28=52, Resulting Numbers: [12, 24, 52]
Generated Node #2: [12, 24, 52] from Operation: 80-28=52
Current State: 50:[12, 24, 52], Operations: ['80-28=52']
Exploring Operation: 24/12=2, Resulting Numbers: [52, 2]
Generated Node #3: [52, 2] from Operation: 24/12=2
Current State: 50:[52, 2], Operations: ['80-28=52', '24/12=2']
Exploring Operation: 52-2=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
19,
35,
70,
81
] | 97 | [
"19+35=54",
"70+81=151",
"151-54=97"
] | Current State: 97:[19, 35, 70, 81], Operations: []
Exploring Operation: 19+35=54, Resulting Numbers: [70, 81, 54]
Generated Node #2: [70, 81, 54] from Operation: 19+35=54
Current State: 97:[70, 81, 54], Operations: ['19+35=54']
Exploring Operation: 70+81=151, Resulting Numbers: [54, 151]
Generated Node #3: [54, 151] from Operation: 70+81=151
Current State: 97:[54, 151], Operations: ['19+35=54', '70+81=151']
Exploring Operation: 151-54=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
66,
64,
98,
20
] | 58 | [
"66-64=2",
"20*2=40",
"98-40=58"
] | Current State: 58:[66, 64, 98, 20], Operations: []
Exploring Operation: 66-64=2, Resulting Numbers: [98, 20, 2]
Generated Node #2: [98, 20, 2] from Operation: 66-64=2
Current State: 58:[98, 20, 2], Operations: ['66-64=2']
Exploring Operation: 20*2=40, Resulting Numbers: [98, 40]
Generated Node #3: [98, 40] from Operation: 20*2=40
Current State: 58:[98, 40], Operations: ['66-64=2', '20*2=40']
Exploring Operation: 98-40=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
63,
58,
55,
5
] | 98 | [
"63-55=8",
"5*8=40",
"58+40=98"
] | Current State: 98:[63, 58, 55, 5], Operations: []
Exploring Operation: 63-55=8, Resulting Numbers: [58, 5, 8]
Generated Node #2: [58, 5, 8] from Operation: 63-55=8
Current State: 98:[58, 5, 8], Operations: ['63-55=8']
Exploring Operation: 5*8=40, Resulting Numbers: [58, 40]
Generated Node #3: [58, 40] from Operation: 5*8=40
Current State: 98:[58, 40], Operations: ['63-55=8', '5*8=40']
Exploring Operation: 58+40=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
17,
77,
4,
6
] | 49 | [
"17+4=21",
"6*21=126",
"126-77=49"
] | Current State: 49:[17, 77, 4, 6], Operations: []
Exploring Operation: 17+4=21, Resulting Numbers: [77, 6, 21]
Generated Node #2: [77, 6, 21] from Operation: 17+4=21
Current State: 49:[77, 6, 21], Operations: ['17+4=21']
Exploring Operation: 6*21=126, Resulting Numbers: [77, 126]
Generated Node #3: [77, 126] from Operation: 6*21=126
Current State: 49:[77, 126], Operations: ['17+4=21', '6*21=126']
Exploring Operation: 126-77=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
3,
69,
25,
29
] | 57 | [
"29-25=4",
"3*4=12",
"69-12=57"
] | Current State: 57:[3, 69, 25, 29], Operations: []
Exploring Operation: 29-25=4, Resulting Numbers: [3, 69, 4]
Generated Node #2: [3, 69, 4] from Operation: 29-25=4
Current State: 57:[3, 69, 4], Operations: ['29-25=4']
Exploring Operation: 3*4=12, Resulting Numbers: [69, 12]
Generated Node #3: [69, 12] from Operation: 3*4=12
Current State: 57:[69, 12], Operations: ['29-25=4', '3*4=12']
Exploring Operation: 69-12=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
89,
57,
79,
21
] | 68 | [
"89-57=32",
"79+21=100",
"100-32=68"
] | Current State: 68:[89, 57, 79, 21], Operations: []
Exploring Operation: 89-57=32, Resulting Numbers: [79, 21, 32]
Generated Node #2: [79, 21, 32] from Operation: 89-57=32
Current State: 68:[79, 21, 32], Operations: ['89-57=32']
Exploring Operation: 79+21=100, Resulting Numbers: [32, 100]
Generated Node #3: [32, 100] from Operation: 79+21=100
Current State: 68:[32, 100], Operations: ['89-57=32', '79+21=100']
Exploring Operation: 100-32=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
6,
46,
50,
85
] | 75 | [
"46-6=40",
"85-50=35",
"40+35=75"
] | Current State: 75:[6, 46, 50, 85], Operations: []
Exploring Operation: 46-6=40, Resulting Numbers: [50, 85, 40]
Generated Node #2: [50, 85, 40] from Operation: 46-6=40
Current State: 75:[50, 85, 40], Operations: ['46-6=40']
Exploring Operation: 85-50=35, Resulting Numbers: [40, 35]
Generated Node #3: [40, 35] from Operation: 85-50=35
Current State: 75:[40, 35], Operations: ['46-6=40', '85-50=35']
Exploring Operation: 40+35=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
4,
27,
18,
60
] | 96 | [
"4+60=64",
"27*64=1728",
"1728/18=96"
] | Current State: 96:[4, 27, 18, 60], Operations: []
Exploring Operation: 4+60=64, Resulting Numbers: [27, 18, 64]
Generated Node #2: [27, 18, 64] from Operation: 4+60=64
Current State: 96:[27, 18, 64], Operations: ['4+60=64']
Exploring Operation: 27*64=1728, Resulting Numbers: [18, 1728]
Generated Node #3: [18, 1728] from Operation: 27*64=1728
Current State: 96:[18, 1728], Operations: ['4+60=64', '27*64=1728']
Exploring Operation: 1728/18=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
15,
21,
51,
79
] | 94 | [
"15+21=36",
"51+79=130",
"130-36=94"
] | Current State: 94:[15, 21, 51, 79], Operations: []
Exploring Operation: 15+21=36, Resulting Numbers: [51, 79, 36]
Generated Node #2: [51, 79, 36] from Operation: 15+21=36
Current State: 94:[51, 79, 36], Operations: ['15+21=36']
Exploring Operation: 51+79=130, Resulting Numbers: [36, 130]
Generated Node #3: [36, 130] from Operation: 51+79=130
Current State: 94:[36, 130], Operations: ['15+21=36', '51+79=130']
Exploring Operation: 130-36=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
23,
57,
79,
25
] | 69 | [
"79-57=22",
"25-22=3",
"23*3=69"
] | Current State: 69:[23, 57, 79, 25], Operations: []
Exploring Operation: 79-57=22, Resulting Numbers: [23, 25, 22]
Generated Node #2: [23, 25, 22] from Operation: 79-57=22
Current State: 69:[23, 25, 22], Operations: ['79-57=22']
Exploring Operation: 25-22=3, Resulting Numbers: [23, 3]
Generated Node #3: [23, 3] from Operation: 25-22=3
Current State: 69:[23, 3], Operations: ['79-57=22', '25-22=3']
Exploring Operation: 23*3=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
59,
62,
24,
60
] | 33 | [
"62-59=3",
"60-24=36",
"36-3=33"
] | Current State: 33:[59, 62, 24, 60], Operations: []
Exploring Operation: 62-59=3, Resulting Numbers: [24, 60, 3]
Generated Node #2: [24, 60, 3] from Operation: 62-59=3
Current State: 33:[24, 60, 3], Operations: ['62-59=3']
Exploring Operation: 60-24=36, Resulting Numbers: [3, 36]
Generated Node #3: [3, 36] from Operation: 60-24=36
Current State: 33:[3, 36], Operations: ['62-59=3', '60-24=36']
Exploring Operation: 36-3=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
99,
76,
99,
45
] | 30 | [
"99/99=1",
"76-45=31",
"31-1=30"
] | Current State: 30:[99, 76, 99, 45], Operations: []
Exploring Operation: 99/99=1, Resulting Numbers: [76, 45, 1]
Generated Node #2: [76, 45, 1] from Operation: 99/99=1
Current State: 30:[76, 45, 1], Operations: ['99/99=1']
Exploring Operation: 76-45=31, Resulting Numbers: [1, 31]
Generated Node #3: [1, 31] from Operation: 76-45=31
Current State: 30:[1, 31], Operations: ['99/99=1', '76-45=31']
Exploring Operation: 31-1=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
95,
86,
32,
85
] | 63 | [
"95-32=63",
"86-85=1",
"63*1=63"
] | Current State: 63:[95, 86, 32, 85], Operations: []
Exploring Operation: 95-32=63, Resulting Numbers: [86, 85, 63]
Generated Node #2: [86, 85, 63] from Operation: 95-32=63
Current State: 63:[86, 85, 63], Operations: ['95-32=63']
Exploring Operation: 86-85=1, Resulting Numbers: [63, 1]
Generated Node #3: [63, 1] from Operation: 86-85=1
Current State: 63:[63, 1], Operations: ['95-32=63', '86-85=1']
Exploring Operation: 63*1=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
37,
48,
73,
97
] | 39 | [
"97-73=24",
"48/24=2",
"37+2=39"
] | Current State: 39:[37, 48, 73, 97], Operations: []
Exploring Operation: 97-73=24, Resulting Numbers: [37, 48, 24]
Generated Node #2: [37, 48, 24] from Operation: 97-73=24
Current State: 39:[37, 48, 24], Operations: ['97-73=24']
Exploring Operation: 48/24=2, Resulting Numbers: [37, 2]
Generated Node #3: [37, 2] from Operation: 48/24=2
Current State: 39:[37, 2], Operations: ['97-73=24', '48/24=2']
Exploring Operation: 37+2=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
7,
68,
56,
3
] | 87 | [
"68-56=12",
"7*12=84",
"3+84=87"
] | Current State: 87:[7, 68, 56, 3], Operations: []
Exploring Operation: 68-56=12, Resulting Numbers: [7, 3, 12]
Generated Node #2: [7, 3, 12] from Operation: 68-56=12
Current State: 87:[7, 3, 12], Operations: ['68-56=12']
Exploring Operation: 7*12=84, Resulting Numbers: [3, 84]
Generated Node #3: [3, 84] from Operation: 7*12=84
Current State: 87:[3, 84], Operations: ['68-56=12', '7*12=84']
Exploring Operation: 3+84=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
92,
24,
17,
85
] | 49 | [
"92-85=7",
"24-17=7",
"7*7=49"
] | Current State: 49:[92, 24, 17, 85], Operations: []
Exploring Operation: 92-85=7, Resulting Numbers: [24, 17, 7]
Generated Node #2: [24, 17, 7] from Operation: 92-85=7
Current State: 49:[24, 17, 7], Operations: ['92-85=7']
Exploring Operation: 24-17=7, Resulting Numbers: [7, 7]
Generated Node #3: [7, 7] from Operation: 24-17=7
Current State: 49:[7, 7], Operations: ['92-85=7', '24-17=7']
Exploring Operation: 7*7=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
78,
84,
68,
29
] | 65 | [
"78+84=162",
"68+29=97",
"162-97=65"
] | Current State: 65:[78, 84, 68, 29], Operations: []
Exploring Operation: 78+84=162, Resulting Numbers: [68, 29, 162]
Generated Node #2: [68, 29, 162] from Operation: 78+84=162
Current State: 65:[68, 29, 162], Operations: ['78+84=162']
Exploring Operation: 68+29=97, Resulting Numbers: [162, 97]
Generated Node #3: [162, 97] from Operation: 68+29=97
Current State: 65:[162, 97], Operations: ['78+84=162', '68+29=97']
Exploring Operation: 162-97=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
77,
65,
52,
26
] | 64 | [
"77+65=142",
"52+26=78",
"142-78=64"
] | Current State: 64:[77, 65, 52, 26], Operations: []
Exploring Operation: 77+65=142, Resulting Numbers: [52, 26, 142]
Generated Node #2: [52, 26, 142] from Operation: 77+65=142
Current State: 64:[52, 26, 142], Operations: ['77+65=142']
Exploring Operation: 52+26=78, Resulting Numbers: [142, 78]
Generated Node #3: [142, 78] from Operation: 52+26=78
Current State: 64:[142, 78], Operations: ['77+65=142', '52+26=78']
Exploring Operation: 142-78=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
98,
19,
41,
98
] | 61 | [
"98/98=1",
"19+41=60",
"1+60=61"
] | Current State: 61:[98, 19, 41, 98], Operations: []
Exploring Operation: 98/98=1, Resulting Numbers: [19, 41, 1]
Generated Node #2: [19, 41, 1] from Operation: 98/98=1
Current State: 61:[19, 41, 1], Operations: ['98/98=1']
Exploring Operation: 19+41=60, Resulting Numbers: [1, 60]
Generated Node #3: [1, 60] from Operation: 19+41=60
Current State: 61:[1, 60], Operations: ['98/98=1', '19+41=60']
Exploring Operation: 1+60=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
59,
76,
61,
36
] | 74 | [
"61-59=2",
"76/2=38",
"36+38=74"
] | Current State: 74:[59, 76, 61, 36], Operations: []
Exploring Operation: 61-59=2, Resulting Numbers: [76, 36, 2]
Generated Node #2: [76, 36, 2] from Operation: 61-59=2
Current State: 74:[76, 36, 2], Operations: ['61-59=2']
Exploring Operation: 76/2=38, Resulting Numbers: [36, 38]
Generated Node #3: [36, 38] from Operation: 76/2=38
Current State: 74:[36, 38], Operations: ['61-59=2', '76/2=38']
Exploring Operation: 36+38=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
2,
54,
96,
45
] | 89 | [
"54-2=52",
"96+45=141",
"141-52=89"
] | Current State: 89:[2, 54, 96, 45], Operations: []
Exploring Operation: 54-2=52, Resulting Numbers: [96, 45, 52]
Generated Node #2: [96, 45, 52] from Operation: 54-2=52
Current State: 89:[96, 45, 52], Operations: ['54-2=52']
Exploring Operation: 96+45=141, Resulting Numbers: [52, 141]
Generated Node #3: [52, 141] from Operation: 96+45=141
Current State: 89:[52, 141], Operations: ['54-2=52', '96+45=141']
Exploring Operation: 141-52=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
88,
78,
37,
44
] | 82 | [
"88/44=2",
"78-37=41",
"2*41=82"
] | Current State: 82:[88, 78, 37, 44], Operations: []
Exploring Operation: 88/44=2, Resulting Numbers: [78, 37, 2]
Generated Node #2: [78, 37, 2] from Operation: 88/44=2
Current State: 82:[78, 37, 2], Operations: ['88/44=2']
Exploring Operation: 78-37=41, Resulting Numbers: [2, 41]
Generated Node #3: [2, 41] from Operation: 78-37=41
Current State: 82:[2, 41], Operations: ['88/44=2', '78-37=41']
Exploring Operation: 2*41=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
31,
64,
43,
32
] | 43 | [
"64-31=33",
"33-32=1",
"43*1=43"
] | Current State: 43:[31, 64, 43, 32], Operations: []
Exploring Operation: 64-31=33, Resulting Numbers: [43, 32, 33]
Generated Node #2: [43, 32, 33] from Operation: 64-31=33
Current State: 43:[43, 32, 33], Operations: ['64-31=33']
Exploring Operation: 33-32=1, Resulting Numbers: [43, 1]
Generated Node #3: [43, 1] from Operation: 33-32=1
Current State: 43:[43, 1], Operations: ['64-31=33', '33-32=1']
Exploring Operation: 43*1=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
46,
10,
60,
52
] | 34 | [
"60-52=8",
"10*8=80",
"80-46=34"
] | Current State: 34:[46, 10, 60, 52], Operations: []
Exploring Operation: 60-52=8, Resulting Numbers: [46, 10, 8]
Generated Node #2: [46, 10, 8] from Operation: 60-52=8
Current State: 34:[46, 10, 8], Operations: ['60-52=8']
Exploring Operation: 10*8=80, Resulting Numbers: [46, 80]
Generated Node #3: [46, 80] from Operation: 10*8=80
Current State: 34:[46, 80], Operations: ['60-52=8', '10*8=80']
Exploring Operation: 80-46=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
13,
14,
39,
43
] | 69 | [
"43-39=4",
"14*4=56",
"13+56=69"
] | Current State: 69:[13, 14, 39, 43], Operations: []
Exploring Operation: 43-39=4, Resulting Numbers: [13, 14, 4]
Generated Node #2: [13, 14, 4] from Operation: 43-39=4
Current State: 69:[13, 14, 4], Operations: ['43-39=4']
Exploring Operation: 14*4=56, Resulting Numbers: [13, 56]
Generated Node #3: [13, 56] from Operation: 14*4=56
Current State: 69:[13, 56], Operations: ['43-39=4', '14*4=56']
Exploring Operation: 13+56=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
60,
55,
22,
7
] | 39 | [
"60+55=115",
"22*7=154",
"154-115=39"
] | Current State: 39:[60, 55, 22, 7], Operations: []
Exploring Operation: 60+55=115, Resulting Numbers: [22, 7, 115]
Generated Node #2: [22, 7, 115] from Operation: 60+55=115
Current State: 39:[22, 7, 115], Operations: ['60+55=115']
Exploring Operation: 22*7=154, Resulting Numbers: [115, 154]
Generated Node #3: [115, 154] from Operation: 22*7=154
Current State: 39:[115, 154], Operations: ['60+55=115', '22*7=154']
Exploring Operation: 154-115=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
21,
4,
91,
95
] | 67 | [
"21+91=112",
"112/4=28",
"95-28=67"
] | Current State: 67:[21, 4, 91, 95], Operations: []
Exploring Operation: 21+91=112, Resulting Numbers: [4, 95, 112]
Generated Node #2: [4, 95, 112] from Operation: 21+91=112
Current State: 67:[4, 95, 112], Operations: ['21+91=112']
Exploring Operation: 112/4=28, Resulting Numbers: [95, 28]
Generated Node #3: [95, 28] from Operation: 112/4=28
Current State: 67:[95, 28], Operations: ['21+91=112', '112/4=28']
Exploring Operation: 95-28=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
7,
44,
95,
88
] | 86 | [
"95-7=88",
"88/44=2",
"88-2=86"
] | Current State: 86:[7, 44, 95, 88], Operations: []
Exploring Operation: 95-7=88, Resulting Numbers: [44, 88, 88]
Generated Node #2: [44, 88, 88] from Operation: 95-7=88
Current State: 86:[44, 88, 88], Operations: ['95-7=88']
Exploring Operation: 88/44=2, Resulting Numbers: [2]
2,86 equal: Goal Reached
Exploring Operation: 88-2=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
80,
57,
61,
69
] | 47 | [
"69-61=8",
"80/8=10",
"57-10=47"
] | Current State: 47:[80, 57, 61, 69], Operations: []
Exploring Operation: 69-61=8, Resulting Numbers: [80, 57, 8]
Generated Node #2: [80, 57, 8] from Operation: 69-61=8
Current State: 47:[80, 57, 8], Operations: ['69-61=8']
Exploring Operation: 80/8=10, Resulting Numbers: [57, 10]
Generated Node #3: [57, 10] from Operation: 80/8=10
Current State: 47:[57, 10], Operations: ['69-61=8', '80/8=10']
Exploring Operation: 57-10=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
81,
16,
17,
19
] | 95 | [
"81+16=97",
"19-17=2",
"97-2=95"
] | Current State: 95:[81, 16, 17, 19], Operations: []
Exploring Operation: 81+16=97, Resulting Numbers: [17, 19, 97]
Generated Node #2: [17, 19, 97] from Operation: 81+16=97
Current State: 95:[17, 19, 97], Operations: ['81+16=97']
Exploring Operation: 19-17=2, Resulting Numbers: [97, 2]
Generated Node #3: [97, 2] from Operation: 19-17=2
Current State: 95:[97, 2], Operations: ['81+16=97', '19-17=2']
Exploring Operation: 97-2=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
96,
69,
39,
75
] | 49 | [
"96*39=3744",
"3744-69=3675",
"3675/75=49"
] | Current State: 49:[96, 69, 39, 75], Operations: []
Exploring Operation: 96*39=3744, Resulting Numbers: [69, 75, 3744]
Generated Node #2: [69, 75, 3744] from Operation: 96*39=3744
Current State: 49:[69, 75, 3744], Operations: ['96*39=3744']
Exploring Operation: 3744-69=3675, Resulting Numbers: [75, 3675]
Generated Node #3: [75, 3675] from Operation: 3744-69=3675
Current State: 49:[75, 3675], Operations: ['96*39=3744', '3744-69=3675']
Exploring Operation: 3675/75=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
5,
81,
42,
35
] | 83 | [
"81-5=76",
"42-35=7",
"76+7=83"
] | Current State: 83:[5, 81, 42, 35], Operations: []
Exploring Operation: 81-5=76, Resulting Numbers: [42, 35, 76]
Generated Node #2: [42, 35, 76] from Operation: 81-5=76
Current State: 83:[42, 35, 76], Operations: ['81-5=76']
Exploring Operation: 42-35=7, Resulting Numbers: [76, 7]
Generated Node #3: [76, 7] from Operation: 42-35=7
Current State: 83:[76, 7], Operations: ['81-5=76', '42-35=7']
Exploring Operation: 76+7=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
88,
94,
31,
63
] | 87 | [
"94-31=63",
"63/63=1",
"88-1=87"
] | Current State: 87:[88, 94, 31, 63], Operations: []
Exploring Operation: 94-31=63, Resulting Numbers: [88, 63, 63]
Generated Node #2: [88, 63, 63] from Operation: 94-31=63
Current State: 87:[88, 63, 63], Operations: ['94-31=63']
Exploring Operation: 63/63=1, Resulting Numbers: [88, 1]
Generated Node #3: [88, 1] from Operation: 63/63=1
Current State: 87:[88, 1], Operations: ['94-31=63', '63/63=1']
Exploring Operation: 88-1=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
12,
73,
74,
67
] | 76 | [
"73-67=6",
"12/6=2",
"74+2=76"
] | Current State: 76:[12, 73, 74, 67], Operations: []
Exploring Operation: 73-67=6, Resulting Numbers: [12, 74, 6]
Generated Node #2: [12, 74, 6] from Operation: 73-67=6
Current State: 76:[12, 74, 6], Operations: ['73-67=6']
Exploring Operation: 12/6=2, Resulting Numbers: [74, 2]
Generated Node #3: [74, 2] from Operation: 12/6=2
Current State: 76:[74, 2], Operations: ['73-67=6', '12/6=2']
Exploring Operation: 74+2=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
61,
90,
80,
55
] | 95 | [
"61-55=6",
"90/6=15",
"80+15=95"
] | Current State: 95:[61, 90, 80, 55], Operations: []
Exploring Operation: 61-55=6, Resulting Numbers: [90, 80, 6]
Generated Node #2: [90, 80, 6] from Operation: 61-55=6
Current State: 95:[90, 80, 6], Operations: ['61-55=6']
Exploring Operation: 90/6=15, Resulting Numbers: [80, 15]
Generated Node #3: [80, 15] from Operation: 90/6=15
Current State: 95:[80, 15], Operations: ['61-55=6', '90/6=15']
Exploring Operation: 80+15=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
21,
94,
11,
23
] | 98 | [
"21+23=44",
"44/11=4",
"94+4=98"
] | Current State: 98:[21, 94, 11, 23], Operations: []
Exploring Operation: 21+23=44, Resulting Numbers: [94, 11, 44]
Generated Node #2: [94, 11, 44] from Operation: 21+23=44
Current State: 98:[94, 11, 44], Operations: ['21+23=44']
Exploring Operation: 44/11=4, Resulting Numbers: [94, 4]
Generated Node #3: [94, 4] from Operation: 44/11=4
Current State: 98:[94, 4], Operations: ['21+23=44', '44/11=4']
Exploring Operation: 94+4=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
52,
20,
35,
79
] | 28 | [
"52+20=72",
"79-35=44",
"72-44=28"
] | Current State: 28:[52, 20, 35, 79], Operations: []
Exploring Operation: 52+20=72, Resulting Numbers: [35, 79, 72]
Generated Node #2: [35, 79, 72] from Operation: 52+20=72
Current State: 28:[35, 79, 72], Operations: ['52+20=72']
Exploring Operation: 79-35=44, Resulting Numbers: [72, 44]
Generated Node #3: [72, 44] from Operation: 79-35=44
Current State: 28:[72, 44], Operations: ['52+20=72', '79-35=44']
Exploring Operation: 72-44=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
72,
84,
28,
52
] | 87 | [
"52-28=24",
"72/24=3",
"84+3=87"
] | Current State: 87:[72, 84, 28, 52], Operations: []
Exploring Operation: 52-28=24, Resulting Numbers: [72, 84, 24]
Generated Node #2: [72, 84, 24] from Operation: 52-28=24
Current State: 87:[72, 84, 24], Operations: ['52-28=24']
Exploring Operation: 72/24=3, Resulting Numbers: [84, 3]
Generated Node #3: [84, 3] from Operation: 72/24=3
Current State: 87:[84, 3], Operations: ['52-28=24', '72/24=3']
Exploring Operation: 84+3=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
37,
39,
83,
19
] | 100 | [
"39-37=2",
"83+19=102",
"102-2=100"
] | Current State: 100:[37, 39, 83, 19], Operations: []
Exploring Operation: 39-37=2, Resulting Numbers: [83, 19, 2]
Generated Node #2: [83, 19, 2] from Operation: 39-37=2
Current State: 100:[83, 19, 2], Operations: ['39-37=2']
Exploring Operation: 83+19=102, Resulting Numbers: [2, 102]
Generated Node #3: [2, 102] from Operation: 83+19=102
Current State: 100:[2, 102], Operations: ['39-37=2', '83+19=102']
Exploring Operation: 102-2=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
46,
56,
69,
2
] | 36 | [
"46+56=102",
"69*2=138",
"138-102=36"
] | Current State: 36:[46, 56, 69, 2], Operations: []
Exploring Operation: 46+56=102, Resulting Numbers: [69, 2, 102]
Generated Node #2: [69, 2, 102] from Operation: 46+56=102
Current State: 36:[69, 2, 102], Operations: ['46+56=102']
Exploring Operation: 69*2=138, Resulting Numbers: [102, 138]
Generated Node #3: [102, 138] from Operation: 69*2=138
Current State: 36:[102, 138], Operations: ['46+56=102', '69*2=138']
Exploring Operation: 138-102=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
34,
61,
18,
52
] | 68 | [
"34*18=612",
"61-52=9",
"612/9=68"
] | Current State: 68:[34, 61, 18, 52], Operations: []
Exploring Operation: 34*18=612, Resulting Numbers: [61, 52, 612]
Generated Node #2: [61, 52, 612] from Operation: 34*18=612
Current State: 68:[61, 52, 612], Operations: ['34*18=612']
Exploring Operation: 61-52=9, Resulting Numbers: [612, 9]
Generated Node #3: [612, 9] from Operation: 61-52=9
Current State: 68:[612, 9], Operations: ['34*18=612', '61-52=9']
Exploring Operation: 612/9=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
84,
83,
24,
36
] | 59 | [
"84-83=1",
"24+36=60",
"60-1=59"
] | Current State: 59:[84, 83, 24, 36], Operations: []
Exploring Operation: 84-83=1, Resulting Numbers: [24, 36, 1]
Generated Node #2: [24, 36, 1] from Operation: 84-83=1
Current State: 59:[24, 36, 1], Operations: ['84-83=1']
Exploring Operation: 24+36=60, Resulting Numbers: [1, 60]
Generated Node #3: [1, 60] from Operation: 24+36=60
Current State: 59:[1, 60], Operations: ['84-83=1', '24+36=60']
Exploring Operation: 60-1=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
84,
28,
20,
19
] | 95 | [
"84-28=56",
"20+19=39",
"56+39=95"
] | Current State: 95:[84, 28, 20, 19], Operations: []
Exploring Operation: 84-28=56, Resulting Numbers: [20, 19, 56]
Generated Node #2: [20, 19, 56] from Operation: 84-28=56
Current State: 95:[20, 19, 56], Operations: ['84-28=56']
Exploring Operation: 20+19=39, Resulting Numbers: [56, 39]
Generated Node #3: [56, 39] from Operation: 20+19=39
Current State: 95:[56, 39], Operations: ['84-28=56', '20+19=39']
Exploring Operation: 56+39=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
4,
78,
55,
81
] | 61 | [
"4*55=220",
"78+81=159",
"220-159=61"
] | Current State: 61:[4, 78, 55, 81], Operations: []
Exploring Operation: 4*55=220, Resulting Numbers: [78, 81, 220]
Generated Node #2: [78, 81, 220] from Operation: 4*55=220
Current State: 61:[78, 81, 220], Operations: ['4*55=220']
Exploring Operation: 78+81=159, Resulting Numbers: [220, 159]
Generated Node #3: [220, 159] from Operation: 78+81=159
Current State: 61:[220, 159], Operations: ['4*55=220', '78+81=159']
Exploring Operation: 220-159=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
98,
42,
30,
4
] | 90 | [
"98-42=56",
"30+4=34",
"56+34=90"
] | Current State: 90:[98, 42, 30, 4], Operations: []
Exploring Operation: 98-42=56, Resulting Numbers: [30, 4, 56]
Generated Node #2: [30, 4, 56] from Operation: 98-42=56
Current State: 90:[30, 4, 56], Operations: ['98-42=56']
Exploring Operation: 30+4=34, Resulting Numbers: [56, 34]
Generated Node #3: [56, 34] from Operation: 30+4=34
Current State: 90:[56, 34], Operations: ['98-42=56', '30+4=34']
Exploring Operation: 56+34=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
24,
74,
13,
25
] | 86 | [
"24+74=98",
"25-13=12",
"98-12=86"
] | Current State: 86:[24, 74, 13, 25], Operations: []
Exploring Operation: 24+74=98, Resulting Numbers: [13, 25, 98]
Generated Node #2: [13, 25, 98] from Operation: 24+74=98
Current State: 86:[13, 25, 98], Operations: ['24+74=98']
Exploring Operation: 25-13=12, Resulting Numbers: [98, 12]
Generated Node #3: [98, 12] from Operation: 25-13=12
Current State: 86:[98, 12], Operations: ['24+74=98', '25-13=12']
Exploring Operation: 98-12=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
3,
81,
88,
40
] | 44 | [
"3+81=84",
"88+40=128",
"128-84=44"
] | Current State: 44:[3, 81, 88, 40], Operations: []
Exploring Operation: 3+81=84, Resulting Numbers: [88, 40, 84]
Generated Node #2: [88, 40, 84] from Operation: 3+81=84
Current State: 44:[88, 40, 84], Operations: ['3+81=84']
Exploring Operation: 88+40=128, Resulting Numbers: [84, 128]
Generated Node #3: [84, 128] from Operation: 88+40=128
Current State: 44:[84, 128], Operations: ['3+81=84', '88+40=128']
Exploring Operation: 128-84=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
47,
23,
5,
13
] | 62 | [
"47+23=70",
"13-5=8",
"70-8=62"
] | Current State: 62:[47, 23, 5, 13], Operations: []
Exploring Operation: 47+23=70, Resulting Numbers: [5, 13, 70]
Generated Node #2: [5, 13, 70] from Operation: 47+23=70
Current State: 62:[5, 13, 70], Operations: ['47+23=70']
Exploring Operation: 13-5=8, Resulting Numbers: [70, 8]
Generated Node #3: [70, 8] from Operation: 13-5=8
Current State: 62:[70, 8], Operations: ['47+23=70', '13-5=8']
Exploring Operation: 70-8=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
4,
6,
8,
87
] | 58 | [
"8-4=4",
"87*4=348",
"348/6=58"
] | Current State: 58:[4, 6, 8, 87], Operations: []
Exploring Operation: 8-4=4, Resulting Numbers: [6, 87, 4]
Generated Node #2: [6, 87, 4] from Operation: 8-4=4
Current State: 58:[6, 87, 4], Operations: ['8-4=4']
Exploring Operation: 87*4=348, Resulting Numbers: [6, 348]
Generated Node #3: [6, 348] from Operation: 87*4=348
Current State: 58:[6, 348], Operations: ['8-4=4', '87*4=348']
Exploring Operation: 348/6=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
15,
34,
29,
53
] | 63 | [
"34-15=19",
"29+53=82",
"82-19=63"
] | Current State: 63:[15, 34, 29, 53], Operations: []
Exploring Operation: 34-15=19, Resulting Numbers: [29, 53, 19]
Generated Node #2: [29, 53, 19] from Operation: 34-15=19
Current State: 63:[29, 53, 19], Operations: ['34-15=19']
Exploring Operation: 29+53=82, Resulting Numbers: [19, 82]
Generated Node #3: [19, 82] from Operation: 29+53=82
Current State: 63:[19, 82], Operations: ['34-15=19', '29+53=82']
Exploring Operation: 82-19=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
18,
42,
71,
62
] | 73 | [
"18+42=60",
"71+62=133",
"133-60=73"
] | Current State: 73:[18, 42, 71, 62], Operations: []
Exploring Operation: 18+42=60, Resulting Numbers: [71, 62, 60]
Generated Node #2: [71, 62, 60] from Operation: 18+42=60
Current State: 73:[71, 62, 60], Operations: ['18+42=60']
Exploring Operation: 71+62=133, Resulting Numbers: [60, 133]
Generated Node #3: [60, 133] from Operation: 71+62=133
Current State: 73:[60, 133], Operations: ['18+42=60', '71+62=133']
Exploring Operation: 133-60=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
31,
2,
33,
38
] | 37 | [
"31+2=33",
"33/33=1",
"38-1=37"
] | Current State: 37:[31, 2, 33, 38], Operations: []
Exploring Operation: 31+2=33, Resulting Numbers: [33, 38, 33]
Generated Node #2: [33, 38, 33] from Operation: 31+2=33
Current State: 37:[33, 38, 33], Operations: ['31+2=33']
Exploring Operation: 33/33=1, Resulting Numbers: [38, 1]
Generated Node #3: [38, 1] from Operation: 33/33=1
Current State: 37:[38, 1], Operations: ['31+2=33', '33/33=1']
Exploring Operation: 38-1=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
41,
62,
57,
58
] | 64 | [
"57-41=16",
"62-58=4",
"16*4=64"
] | Current State: 64:[41, 62, 57, 58], Operations: []
Exploring Operation: 57-41=16, Resulting Numbers: [62, 58, 16]
Generated Node #2: [62, 58, 16] from Operation: 57-41=16
Current State: 64:[62, 58, 16], Operations: ['57-41=16']
Exploring Operation: 62-58=4, Resulting Numbers: [16, 4]
Generated Node #3: [16, 4] from Operation: 62-58=4
Current State: 64:[16, 4], Operations: ['57-41=16', '62-58=4']
Exploring Operation: 16*4=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
31,
43,
56,
90
] | 40 | [
"31+43=74",
"90-56=34",
"74-34=40"
] | Current State: 40:[31, 43, 56, 90], Operations: []
Exploring Operation: 31+43=74, Resulting Numbers: [56, 90, 74]
Generated Node #2: [56, 90, 74] from Operation: 31+43=74
Current State: 40:[56, 90, 74], Operations: ['31+43=74']
Exploring Operation: 90-56=34, Resulting Numbers: [74, 34]
Generated Node #3: [74, 34] from Operation: 90-56=34
Current State: 40:[74, 34], Operations: ['31+43=74', '90-56=34']
Exploring Operation: 74-34=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
43,
97,
1,
59
] | 82 | [
"43+97=140",
"59-1=58",
"140-58=82"
] | Current State: 82:[43, 97, 1, 59], Operations: []
Exploring Operation: 43+97=140, Resulting Numbers: [1, 59, 140]
Generated Node #2: [1, 59, 140] from Operation: 43+97=140
Current State: 82:[1, 59, 140], Operations: ['43+97=140']
Exploring Operation: 59-1=58, Resulting Numbers: [140, 58]
Generated Node #3: [140, 58] from Operation: 59-1=58
Current State: 82:[140, 58], Operations: ['43+97=140', '59-1=58']
Exploring Operation: 140-58=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
81,
51,
97,
81
] | 46 | [
"81+51=132",
"97+81=178",
"178-132=46"
] | Current State: 46:[81, 51, 97, 81], Operations: []
Exploring Operation: 81+51=132, Resulting Numbers: [97, 132]
Generated Node #2: [97, 132] from Operation: 81+51=132
Current State: 46:[97, 132], Operations: ['81+51=132']
Exploring Operation: 97+81=178, Resulting Numbers: [132, 178]
Generated Node #3: [132, 178] from Operation: 97+81=178
Current State: 46:[132, 178], Operations: ['81+51=132', '97+81=178']
Exploring Operation: 178-132=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
28,
66,
87,
44
] | 33 | [
"87-66=21",
"44*21=924",
"924/28=33"
] | Current State: 33:[28, 66, 87, 44], Operations: []
Exploring Operation: 87-66=21, Resulting Numbers: [28, 44, 21]
Generated Node #2: [28, 44, 21] from Operation: 87-66=21
Current State: 33:[28, 44, 21], Operations: ['87-66=21']
Exploring Operation: 44*21=924, Resulting Numbers: [28, 924]
Generated Node #3: [28, 924] from Operation: 44*21=924
Current State: 33:[28, 924], Operations: ['87-66=21', '44*21=924']
Exploring Operation: 924/28=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
81,
28,
94,
66
] | 80 | [
"94-28=66",
"66/66=1",
"81-1=80"
] | Current State: 80:[81, 28, 94, 66], Operations: []
Exploring Operation: 94-28=66, Resulting Numbers: [81, 66, 66]
Generated Node #2: [81, 66, 66] from Operation: 94-28=66
Current State: 80:[81, 66, 66], Operations: ['94-28=66']
Exploring Operation: 66/66=1, Resulting Numbers: [81, 1]
Generated Node #3: [81, 1] from Operation: 66/66=1
Current State: 80:[81, 1], Operations: ['94-28=66', '66/66=1']
Exploring Operation: 81-1=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
88,
30,
66,
38
] | 51 | [
"30+38=68",
"66*68=4488",
"4488/88=51"
] | Current State: 51:[88, 30, 66, 38], Operations: []
Exploring Operation: 30+38=68, Resulting Numbers: [88, 66, 68]
Generated Node #2: [88, 66, 68] from Operation: 30+38=68
Current State: 51:[88, 66, 68], Operations: ['30+38=68']
Exploring Operation: 66*68=4488, Resulting Numbers: [88, 4488]
Generated Node #3: [88, 4488] from Operation: 66*68=4488
Current State: 51:[88, 4488], Operations: ['30+38=68', '66*68=4488']
Exploring Operation: 4488/88=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
41,
16,
53,
29
] | 81 | [
"41+16=57",
"53-29=24",
"57+24=81"
] | Current State: 81:[41, 16, 53, 29], Operations: []
Exploring Operation: 41+16=57, Resulting Numbers: [53, 29, 57]
Generated Node #2: [53, 29, 57] from Operation: 41+16=57
Current State: 81:[53, 29, 57], Operations: ['41+16=57']
Exploring Operation: 53-29=24, Resulting Numbers: [57, 24]
Generated Node #3: [57, 24] from Operation: 53-29=24
Current State: 81:[57, 24], Operations: ['41+16=57', '53-29=24']
Exploring Operation: 57+24=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
72,
90,
23,
96
] | 35 | [
"96-90=6",
"72/6=12",
"23+12=35"
] | Current State: 35:[72, 90, 23, 96], Operations: []
Exploring Operation: 96-90=6, Resulting Numbers: [72, 23, 6]
Generated Node #2: [72, 23, 6] from Operation: 96-90=6
Current State: 35:[72, 23, 6], Operations: ['96-90=6']
Exploring Operation: 72/6=12, Resulting Numbers: [23, 12]
Generated Node #3: [23, 12] from Operation: 72/6=12
Current State: 35:[23, 12], Operations: ['96-90=6', '72/6=12']
Exploring Operation: 23+12=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
93,
3,
4,
31
] | 61 | [
"93+3=96",
"4+31=35",
"96-35=61"
] | Current State: 61:[93, 3, 4, 31], Operations: []
Exploring Operation: 93+3=96, Resulting Numbers: [4, 31, 96]
Generated Node #2: [4, 31, 96] from Operation: 93+3=96
Current State: 61:[4, 31, 96], Operations: ['93+3=96']
Exploring Operation: 4+31=35, Resulting Numbers: [96, 35]
Generated Node #3: [96, 35] from Operation: 4+31=35
Current State: 61:[96, 35], Operations: ['93+3=96', '4+31=35']
Exploring Operation: 96-35=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
12,
42,
24,
57
] | 27 | [
"12+42=54",
"24+57=81",
"81-54=27"
] | Current State: 27:[12, 42, 24, 57], Operations: []
Exploring Operation: 12+42=54, Resulting Numbers: [24, 57, 54]
Generated Node #2: [24, 57, 54] from Operation: 12+42=54
Current State: 27:[24, 57, 54], Operations: ['12+42=54']
Exploring Operation: 24+57=81, Resulting Numbers: [54, 81]
Generated Node #3: [54, 81] from Operation: 24+57=81
Current State: 27:[54, 81], Operations: ['12+42=54', '24+57=81']
Exploring Operation: 81-54=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
71,
40,
79,
4
] | 72 | [
"79-71=8",
"4*8=32",
"40+32=72"
] | Current State: 72:[71, 40, 79, 4], Operations: []
Exploring Operation: 79-71=8, Resulting Numbers: [40, 4, 8]
Generated Node #2: [40, 4, 8] from Operation: 79-71=8
Current State: 72:[40, 4, 8], Operations: ['79-71=8']
Exploring Operation: 4*8=32, Resulting Numbers: [40, 32]
Generated Node #3: [40, 32] from Operation: 4*8=32
Current State: 72:[40, 32], Operations: ['79-71=8', '4*8=32']
Exploring Operation: 40+32=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
16,
85,
33,
78
] | 56 | [
"16+85=101",
"78-33=45",
"101-45=56"
] | Current State: 56:[16, 85, 33, 78], Operations: []
Exploring Operation: 16+85=101, Resulting Numbers: [33, 78, 101]
Generated Node #2: [33, 78, 101] from Operation: 16+85=101
Current State: 56:[33, 78, 101], Operations: ['16+85=101']
Exploring Operation: 78-33=45, Resulting Numbers: [101, 45]
Generated Node #3: [101, 45] from Operation: 78-33=45
Current State: 56:[101, 45], Operations: ['16+85=101', '78-33=45']
Exploring Operation: 101-45=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
26,
62,
13,
14
] | 89 | [
"26+62=88",
"14-13=1",
"88+1=89"
] | Current State: 89:[26, 62, 13, 14], Operations: []
Exploring Operation: 26+62=88, Resulting Numbers: [13, 14, 88]
Generated Node #2: [13, 14, 88] from Operation: 26+62=88
Current State: 89:[13, 14, 88], Operations: ['26+62=88']
Exploring Operation: 14-13=1, Resulting Numbers: [88, 1]
Generated Node #3: [88, 1] from Operation: 14-13=1
Current State: 89:[88, 1], Operations: ['26+62=88', '14-13=1']
Exploring Operation: 88+1=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
21,
26,
87,
3
] | 72 | [
"26-21=5",
"3*5=15",
"87-15=72"
] | Current State: 72:[21, 26, 87, 3], Operations: []
Exploring Operation: 26-21=5, Resulting Numbers: [87, 3, 5]
Generated Node #2: [87, 3, 5] from Operation: 26-21=5
Current State: 72:[87, 3, 5], Operations: ['26-21=5']
Exploring Operation: 3*5=15, Resulting Numbers: [87, 15]
Generated Node #3: [87, 15] from Operation: 3*5=15
Current State: 72:[87, 15], Operations: ['26-21=5', '3*5=15']
Exploring Operation: 87-15=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
11,
60,
47,
3
] | 78 | [
"11+47=58",
"60/3=20",
"58+20=78"
] | Current State: 78:[11, 60, 47, 3], Operations: []
Exploring Operation: 11+47=58, Resulting Numbers: [60, 3, 58]
Generated Node #2: [60, 3, 58] from Operation: 11+47=58
Current State: 78:[60, 3, 58], Operations: ['11+47=58']
Exploring Operation: 60/3=20, Resulting Numbers: [58, 20]
Generated Node #3: [58, 20] from Operation: 60/3=20
Current State: 78:[58, 20], Operations: ['11+47=58', '60/3=20']
Exploring Operation: 58+20=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
94,
60,
40,
6
] | 86 | [
"94+60=154",
"40*6=240",
"240-154=86"
] | Current State: 86:[94, 60, 40, 6], Operations: []
Exploring Operation: 94+60=154, Resulting Numbers: [40, 6, 154]
Generated Node #2: [40, 6, 154] from Operation: 94+60=154
Current State: 86:[40, 6, 154], Operations: ['94+60=154']
Exploring Operation: 40*6=240, Resulting Numbers: [154, 240]
Generated Node #3: [154, 240] from Operation: 40*6=240
Current State: 86:[154, 240], Operations: ['94+60=154', '40*6=240']
Exploring Operation: 240-154=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
4,
6,
38,
36
] | 13 | [
"4+38=42",
"36+42=78",
"78/6=13"
] | Current State: 13:[4, 6, 38, 36], Operations: []
Exploring Operation: 4+38=42, Resulting Numbers: [6, 36, 42]
Generated Node #2: [6, 36, 42] from Operation: 4+38=42
Current State: 13:[6, 36, 42], Operations: ['4+38=42']
Exploring Operation: 36+42=78, Resulting Numbers: [6, 78]
Generated Node #3: [6, 78] from Operation: 36+42=78
Current State: 13:[6, 78], Operations: ['4+38=42', '36+42=78']
Exploring Operation: 78/6=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
78,
5,
45,
66
] | 38 | [
"78-5=73",
"45+66=111",
"111-73=38"
] | Current State: 38:[78, 5, 45, 66], Operations: []
Exploring Operation: 78-5=73, Resulting Numbers: [45, 66, 73]
Generated Node #2: [45, 66, 73] from Operation: 78-5=73
Current State: 38:[45, 66, 73], Operations: ['78-5=73']
Exploring Operation: 45+66=111, Resulting Numbers: [73, 111]
Generated Node #3: [73, 111] from Operation: 45+66=111
Current State: 38:[73, 111], Operations: ['78-5=73', '45+66=111']
Exploring Operation: 111-73=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
3,
95,
5,
14
] | 30 | [
"14-3=11",
"95/5=19",
"11+19=30"
] | Current State: 30:[3, 95, 5, 14], Operations: []
Exploring Operation: 14-3=11, Resulting Numbers: [95, 5, 11]
Generated Node #2: [95, 5, 11] from Operation: 14-3=11
Current State: 30:[95, 5, 11], Operations: ['14-3=11']
Exploring Operation: 95/5=19, Resulting Numbers: [11, 19]
Generated Node #3: [11, 19] from Operation: 95/5=19
Current State: 30:[11, 19], Operations: ['14-3=11', '95/5=19']
Exploring Operation: 11+19=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
62,
57,
70,
65
] | 57 | [
"62-57=5",
"65/5=13",
"70-13=57"
] | Current State: 57:[62, 57, 70, 65], Operations: []
Exploring Operation: 62-57=5, Resulting Numbers: [70, 65, 5]
Generated Node #2: [70, 65, 5] from Operation: 62-57=5
Current State: 57:[70, 65, 5], Operations: ['62-57=5']
Exploring Operation: 65/5=13, Resulting Numbers: [70, 13]
Generated Node #3: [70, 13] from Operation: 65/5=13
Current State: 57:[70, 13], Operations: ['62-57=5', '65/5=13']
Exploring Operation: 70-13=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
8,
14,
44,
1
] | 77 | [
"8*1=8",
"14*44=616",
"616/8=77"
] | Current State: 77:[8, 14, 44, 1], Operations: []
Exploring Operation: 8*1=8, Resulting Numbers: [14, 44, 8]
Generated Node #2: [14, 44, 8] from Operation: 8*1=8
Current State: 77:[14, 44, 8], Operations: ['8*1=8']
Exploring Operation: 14*44=616, Resulting Numbers: [8, 616]
Generated Node #3: [8, 616] from Operation: 14*44=616
Current State: 77:[8, 616], Operations: ['8*1=8', '14*44=616']
Exploring Operation: 616/8=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
25,
82,
93,
1
] | 35 | [
"82-25=57",
"93-1=92",
"92-57=35"
] | Current State: 35:[25, 82, 93, 1], Operations: []
Exploring Operation: 82-25=57, Resulting Numbers: [93, 1, 57]
Generated Node #2: [93, 1, 57] from Operation: 82-25=57
Current State: 35:[93, 1, 57], Operations: ['82-25=57']
Exploring Operation: 93-1=92, Resulting Numbers: [57, 92]
Generated Node #3: [57, 92] from Operation: 93-1=92
Current State: 35:[57, 92], Operations: ['82-25=57', '93-1=92']
Exploring Operation: 92-57=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
53,
1,
38,
73
] | 87 | [
"53-1=52",
"73-38=35",
"52+35=87"
] | Current State: 87:[53, 1, 38, 73], Operations: []
Exploring Operation: 53-1=52, Resulting Numbers: [38, 73, 52]
Generated Node #2: [38, 73, 52] from Operation: 53-1=52
Current State: 87:[38, 73, 52], Operations: ['53-1=52']
Exploring Operation: 73-38=35, Resulting Numbers: [52, 35]
Generated Node #3: [52, 35] from Operation: 73-38=35
Current State: 87:[52, 35], Operations: ['53-1=52', '73-38=35']
Exploring Operation: 52+35=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
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