nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
2,
27,
16,
61
] | 96 | [
"16/2=8",
"27+61=88",
"8+88=96"
] | Current State: 96:[2, 27, 16, 61], Operations: []
Exploring Operation: 16/2=8, Resulting Numbers: [27, 61, 8]
Generated Node #2: [27, 61, 8] from Operation: 16/2=8
Current State: 96:[27, 61, 8], Operations: ['16/2=8']
Exploring Operation: 27+61=88, Resulting Numbers: [8, 88]
Generated Node #3: [8, 88] from Operation: 27+61=88
Current State: 96:[8, 88], Operations: ['16/2=8', '27+61=88']
Exploring Operation: 8+88=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
73,
36,
94,
5
] | 10 | [
"73+36=109",
"94+5=99",
"109-99=10"
] | Current State: 10:[73, 36, 94, 5], Operations: []
Exploring Operation: 73+36=109, Resulting Numbers: [94, 5, 109]
Generated Node #2: [94, 5, 109] from Operation: 73+36=109
Current State: 10:[94, 5, 109], Operations: ['73+36=109']
Exploring Operation: 94+5=99, Resulting Numbers: [109, 99]
Generated Node #3: [109, 99] from Operation: 94+5=99
Current State: 10:[109, 99], Operations: ['73+36=109', '94+5=99']
Exploring Operation: 109-99=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
44,
82,
28,
50
] | 11 | [
"82-28=54",
"54-50=4",
"44/4=11"
] | Current State: 11:[44, 82, 28, 50], Operations: []
Exploring Operation: 82-28=54, Resulting Numbers: [44, 50, 54]
Generated Node #2: [44, 50, 54] from Operation: 82-28=54
Current State: 11:[44, 50, 54], Operations: ['82-28=54']
Exploring Operation: 54-50=4, Resulting Numbers: [44, 4]
Generated Node #3: [44, 4] from Operation: 54-50=4
Current State: 11:[44, 4], Operations: ['82-28=54', '54-50=4']
Exploring Operation: 44/4=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
61,
89,
64,
51
] | 64 | [
"64-61=3",
"51*3=153",
"153-89=64"
] | Current State: 64:[61, 89, 64, 51], Operations: []
Exploring Operation: 64-61=3, Resulting Numbers: [89, 51, 3]
Generated Node #2: [89, 51, 3] from Operation: 64-61=3
Current State: 64:[89, 51, 3], Operations: ['64-61=3']
Exploring Operation: 51*3=153, Resulting Numbers: [89, 153]
Generated Node #3: [89, 153] from Operation: 51*3=153
Current State: 64:[89, 153], Operations: ['64-61=3', '51*3=153']
Exploring Operation: 153-89=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
23,
47,
66,
93
] | 64 | [
"93-47=46",
"46/23=2",
"66-2=64"
] | Current State: 64:[23, 47, 66, 93], Operations: []
Exploring Operation: 93-47=46, Resulting Numbers: [23, 66, 46]
Generated Node #2: [23, 66, 46] from Operation: 93-47=46
Current State: 64:[23, 66, 46], Operations: ['93-47=46']
Exploring Operation: 46/23=2, Resulting Numbers: [66, 2]
Generated Node #3: [66, 2] from Operation: 46/23=2
Current State: 64:[66, 2], Operations: ['93-47=46', '46/23=2']
Exploring Operation: 66-2=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
47,
4,
7,
52
] | 44 | [
"52/4=13",
"7*13=91",
"91-47=44"
] | Current State: 44:[47, 4, 7, 52], Operations: []
Exploring Operation: 52/4=13, Resulting Numbers: [47, 7, 13]
Generated Node #2: [47, 7, 13] from Operation: 52/4=13
Current State: 44:[47, 7, 13], Operations: ['52/4=13']
Exploring Operation: 7*13=91, Resulting Numbers: [47, 91]
Generated Node #3: [47, 91] from Operation: 7*13=91
Current State: 44:[47, 91], Operations: ['52/4=13', '7*13=91']
Exploring Operation: 91-47=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
28,
3,
14,
53
] | 16 | [
"3+53=56",
"56/28=2",
"14+2=16"
] | Current State: 16:[28, 3, 14, 53], Operations: []
Exploring Operation: 3+53=56, Resulting Numbers: [28, 14, 56]
Generated Node #2: [28, 14, 56] from Operation: 3+53=56
Current State: 16:[28, 14, 56], Operations: ['3+53=56']
Exploring Operation: 56/28=2, Resulting Numbers: [14, 2]
Generated Node #3: [14, 2] from Operation: 56/28=2
Current State: 16:[14, 2], Operations: ['3+53=56', '56/28=2']
Exploring Operation: 14+2=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
10,
20,
51,
42
] | 30 | [
"20/10=2",
"42/2=21",
"51-21=30"
] | Current State: 30:[10, 20, 51, 42], Operations: []
Exploring Operation: 20/10=2, Resulting Numbers: [51, 42, 2]
Generated Node #2: [51, 42, 2] from Operation: 20/10=2
Current State: 30:[51, 42, 2], Operations: ['20/10=2']
Exploring Operation: 42/2=21, Resulting Numbers: [51, 21]
Generated Node #3: [51, 21] from Operation: 42/2=21
Current State: 30:[51, 21], Operations: ['20/10=2', '42/2=21']
Exploring Operation: 51-21=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
27,
79,
15,
52
] | 39 | [
"27+79=106",
"15+52=67",
"106-67=39"
] | Current State: 39:[27, 79, 15, 52], Operations: []
Exploring Operation: 27+79=106, Resulting Numbers: [15, 52, 106]
Generated Node #2: [15, 52, 106] from Operation: 27+79=106
Current State: 39:[15, 52, 106], Operations: ['27+79=106']
Exploring Operation: 15+52=67, Resulting Numbers: [106, 67]
Generated Node #3: [106, 67] from Operation: 15+52=67
Current State: 39:[106, 67], Operations: ['27+79=106', '15+52=67']
Exploring Operation: 106-67=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
62,
38,
30,
56
] | 33 | [
"62-56=6",
"30/6=5",
"38-5=33"
] | Current State: 33:[62, 38, 30, 56], Operations: []
Exploring Operation: 62-56=6, Resulting Numbers: [38, 30, 6]
Generated Node #2: [38, 30, 6] from Operation: 62-56=6
Current State: 33:[38, 30, 6], Operations: ['62-56=6']
Exploring Operation: 30/6=5, Resulting Numbers: [38, 5]
Generated Node #3: [38, 5] from Operation: 30/6=5
Current State: 33:[38, 5], Operations: ['62-56=6', '30/6=5']
Exploring Operation: 38-5=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
20,
44,
33,
72
] | 99 | [
"44-20=24",
"33*72=2376",
"2376/24=99"
] | Current State: 99:[20, 44, 33, 72], Operations: []
Exploring Operation: 44-20=24, Resulting Numbers: [33, 72, 24]
Generated Node #2: [33, 72, 24] from Operation: 44-20=24
Current State: 99:[33, 72, 24], Operations: ['44-20=24']
Exploring Operation: 33*72=2376, Resulting Numbers: [24, 2376]
Generated Node #3: [24, 2376] from Operation: 33*72=2376
Current State: 99:[24, 2376], Operations: ['44-20=24', '33*72=2376']
Exploring Operation: 2376/24=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
57,
83,
1,
25
] | 51 | [
"83-57=26",
"1*25=25",
"26+25=51"
] | Current State: 51:[57, 83, 1, 25], Operations: []
Exploring Operation: 83-57=26, Resulting Numbers: [1, 25, 26]
Generated Node #2: [1, 25, 26] from Operation: 83-57=26
Current State: 51:[1, 25, 26], Operations: ['83-57=26']
Exploring Operation: 1*25=25, Resulting Numbers: [26, 25]
Generated Node #3: [26, 25] from Operation: 1*25=25
Current State: 51:[26, 25], Operations: ['83-57=26', '1*25=25']
Exploring Operation: 26+25=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
2,
50,
95,
9
] | 68 | [
"50+95=145",
"145-9=136",
"136/2=68"
] | Current State: 68:[2, 50, 95, 9], Operations: []
Exploring Operation: 50+95=145, Resulting Numbers: [2, 9, 145]
Generated Node #2: [2, 9, 145] from Operation: 50+95=145
Current State: 68:[2, 9, 145], Operations: ['50+95=145']
Exploring Operation: 145-9=136, Resulting Numbers: [2, 136]
Generated Node #3: [2, 136] from Operation: 145-9=136
Current State: 68:[2, 136], Operations: ['50+95=145', '145-9=136']
Exploring Operation: 136/2=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
7,
22,
17,
14
] | 88 | [
"17-7=10",
"14-10=4",
"22*4=88"
] | Current State: 88:[7, 22, 17, 14], Operations: []
Exploring Operation: 17-7=10, Resulting Numbers: [22, 14, 10]
Generated Node #2: [22, 14, 10] from Operation: 17-7=10
Current State: 88:[22, 14, 10], Operations: ['17-7=10']
Exploring Operation: 14-10=4, Resulting Numbers: [22, 4]
Generated Node #3: [22, 4] from Operation: 14-10=4
Current State: 88:[22, 4], Operations: ['17-7=10', '14-10=4']
Exploring Operation: 22*4=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
71,
35,
44,
63
] | 64 | [
"44-35=9",
"63/9=7",
"71-7=64"
] | Current State: 64:[71, 35, 44, 63], Operations: []
Exploring Operation: 44-35=9, Resulting Numbers: [71, 63, 9]
Generated Node #2: [71, 63, 9] from Operation: 44-35=9
Current State: 64:[71, 63, 9], Operations: ['44-35=9']
Exploring Operation: 63/9=7, Resulting Numbers: [71, 7]
Generated Node #3: [71, 7] from Operation: 63/9=7
Current State: 64:[71, 7], Operations: ['44-35=9', '63/9=7']
Exploring Operation: 71-7=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
73,
69,
92,
52
] | 28 | [
"73-52=21",
"92*21=1932",
"1932/69=28"
] | Current State: 28:[73, 69, 92, 52], Operations: []
Exploring Operation: 73-52=21, Resulting Numbers: [69, 92, 21]
Generated Node #2: [69, 92, 21] from Operation: 73-52=21
Current State: 28:[69, 92, 21], Operations: ['73-52=21']
Exploring Operation: 92*21=1932, Resulting Numbers: [69, 1932]
Generated Node #3: [69, 1932] from Operation: 92*21=1932
Current State: 28:[69, 1932], Operations: ['73-52=21', '92*21=1932']
Exploring Operation: 1932/69=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
58,
40,
70,
60
] | 55 | [
"60-58=2",
"40+70=110",
"110/2=55"
] | Current State: 55:[58, 40, 70, 60], Operations: []
Exploring Operation: 60-58=2, Resulting Numbers: [40, 70, 2]
Generated Node #2: [40, 70, 2] from Operation: 60-58=2
Current State: 55:[40, 70, 2], Operations: ['60-58=2']
Exploring Operation: 40+70=110, Resulting Numbers: [2, 110]
Generated Node #3: [2, 110] from Operation: 40+70=110
Current State: 55:[2, 110], Operations: ['60-58=2', '40+70=110']
Exploring Operation: 110/2=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
71,
1,
96,
65
] | 40 | [
"71*1=71",
"96-65=31",
"71-31=40"
] | Current State: 40:[71, 1, 96, 65], Operations: []
Exploring Operation: 71*1=71, Resulting Numbers: [96, 65, 71]
Generated Node #2: [96, 65, 71] from Operation: 71*1=71
Current State: 40:[96, 65, 71], Operations: ['71*1=71']
Exploring Operation: 96-65=31, Resulting Numbers: [71, 31]
Generated Node #3: [71, 31] from Operation: 96-65=31
Current State: 40:[71, 31], Operations: ['71*1=71', '96-65=31']
Exploring Operation: 71-31=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
85,
31,
79,
55
] | 92 | [
"85+31=116",
"79-55=24",
"116-24=92"
] | Current State: 92:[85, 31, 79, 55], Operations: []
Exploring Operation: 85+31=116, Resulting Numbers: [79, 55, 116]
Generated Node #2: [79, 55, 116] from Operation: 85+31=116
Current State: 92:[79, 55, 116], Operations: ['85+31=116']
Exploring Operation: 79-55=24, Resulting Numbers: [116, 24]
Generated Node #3: [116, 24] from Operation: 79-55=24
Current State: 92:[116, 24], Operations: ['85+31=116', '79-55=24']
Exploring Operation: 116-24=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
68,
44,
12,
85
] | 97 | [
"68-44=24",
"85-12=73",
"24+73=97"
] | Current State: 97:[68, 44, 12, 85], Operations: []
Exploring Operation: 68-44=24, Resulting Numbers: [12, 85, 24]
Generated Node #2: [12, 85, 24] from Operation: 68-44=24
Current State: 97:[12, 85, 24], Operations: ['68-44=24']
Exploring Operation: 85-12=73, Resulting Numbers: [24, 73]
Generated Node #3: [24, 73] from Operation: 85-12=73
Current State: 97:[24, 73], Operations: ['68-44=24', '85-12=73']
Exploring Operation: 24+73=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
54,
85,
16,
25
] | 91 | [
"25-16=9",
"54/9=6",
"85+6=91"
] | Current State: 91:[54, 85, 16, 25], Operations: []
Exploring Operation: 25-16=9, Resulting Numbers: [54, 85, 9]
Generated Node #2: [54, 85, 9] from Operation: 25-16=9
Current State: 91:[54, 85, 9], Operations: ['25-16=9']
Exploring Operation: 54/9=6, Resulting Numbers: [85, 6]
Generated Node #3: [85, 6] from Operation: 54/9=6
Current State: 91:[85, 6], Operations: ['25-16=9', '54/9=6']
Exploring Operation: 85+6=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
66,
11,
35,
3
] | 72 | [
"11+35=46",
"3*46=138",
"138-66=72"
] | Current State: 72:[66, 11, 35, 3], Operations: []
Exploring Operation: 11+35=46, Resulting Numbers: [66, 3, 46]
Generated Node #2: [66, 3, 46] from Operation: 11+35=46
Current State: 72:[66, 3, 46], Operations: ['11+35=46']
Exploring Operation: 3*46=138, Resulting Numbers: [66, 138]
Generated Node #3: [66, 138] from Operation: 3*46=138
Current State: 72:[66, 138], Operations: ['11+35=46', '3*46=138']
Exploring Operation: 138-66=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
52,
32,
84,
24
] | 40 | [
"52-32=20",
"84-24=60",
"60-20=40"
] | Current State: 40:[52, 32, 84, 24], Operations: []
Exploring Operation: 52-32=20, Resulting Numbers: [84, 24, 20]
Generated Node #2: [84, 24, 20] from Operation: 52-32=20
Current State: 40:[84, 24, 20], Operations: ['52-32=20']
Exploring Operation: 84-24=60, Resulting Numbers: [20, 60]
Generated Node #3: [20, 60] from Operation: 84-24=60
Current State: 40:[20, 60], Operations: ['52-32=20', '84-24=60']
Exploring Operation: 60-20=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
26,
11,
61,
39
] | 24 | [
"61-39=22",
"22/11=2",
"26-2=24"
] | Current State: 24:[26, 11, 61, 39], Operations: []
Exploring Operation: 61-39=22, Resulting Numbers: [26, 11, 22]
Generated Node #2: [26, 11, 22] from Operation: 61-39=22
Current State: 24:[26, 11, 22], Operations: ['61-39=22']
Exploring Operation: 22/11=2, Resulting Numbers: [26, 2]
Generated Node #3: [26, 2] from Operation: 22/11=2
Current State: 24:[26, 2], Operations: ['61-39=22', '22/11=2']
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
24,
12,
77,
2
] | 94 | [
"77-24=53",
"2*53=106",
"106-12=94"
] | Current State: 94:[24, 12, 77, 2], Operations: []
Exploring Operation: 77-24=53, Resulting Numbers: [12, 2, 53]
Generated Node #2: [12, 2, 53] from Operation: 77-24=53
Current State: 94:[12, 2, 53], Operations: ['77-24=53']
Exploring Operation: 2*53=106, Resulting Numbers: [12, 106]
Generated Node #3: [12, 106] from Operation: 2*53=106
Current State: 94:[12, 106], Operations: ['77-24=53', '2*53=106']
Exploring Operation: 106-12=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
75,
35,
64,
5
] | 36 | [
"75+64=139",
"35*5=175",
"175-139=36"
] | Current State: 36:[75, 35, 64, 5], Operations: []
Exploring Operation: 75+64=139, Resulting Numbers: [35, 5, 139]
Generated Node #2: [35, 5, 139] from Operation: 75+64=139
Current State: 36:[35, 5, 139], Operations: ['75+64=139']
Exploring Operation: 35*5=175, Resulting Numbers: [139, 175]
Generated Node #3: [139, 175] from Operation: 35*5=175
Current State: 36:[139, 175], Operations: ['75+64=139', '35*5=175']
Exploring Operation: 175-139=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
31,
85,
4,
10
] | 60 | [
"85-31=54",
"10-4=6",
"54+6=60"
] | Current State: 60:[31, 85, 4, 10], Operations: []
Exploring Operation: 85-31=54, Resulting Numbers: [4, 10, 54]
Generated Node #2: [4, 10, 54] from Operation: 85-31=54
Current State: 60:[4, 10, 54], Operations: ['85-31=54']
Exploring Operation: 10-4=6, Resulting Numbers: [54, 6]
Generated Node #3: [54, 6] from Operation: 10-4=6
Current State: 60:[54, 6], Operations: ['85-31=54', '10-4=6']
Exploring Operation: 54+6=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
11,
18,
48,
39
] | 75 | [
"18*48=864",
"864-39=825",
"825/11=75"
] | Current State: 75:[11, 18, 48, 39], Operations: []
Exploring Operation: 18*48=864, Resulting Numbers: [11, 39, 864]
Generated Node #2: [11, 39, 864] from Operation: 18*48=864
Current State: 75:[11, 39, 864], Operations: ['18*48=864']
Exploring Operation: 864-39=825, Resulting Numbers: [11, 825]
Generated Node #3: [11, 825] from Operation: 864-39=825
Current State: 75:[11, 825], Operations: ['18*48=864', '864-39=825']
Exploring Operation: 825/11=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
55,
48,
6,
69
] | 71 | [
"69-48=21",
"6*21=126",
"126-55=71"
] | Current State: 71:[55, 48, 6, 69], Operations: []
Exploring Operation: 69-48=21, Resulting Numbers: [55, 6, 21]
Generated Node #2: [55, 6, 21] from Operation: 69-48=21
Current State: 71:[55, 6, 21], Operations: ['69-48=21']
Exploring Operation: 6*21=126, Resulting Numbers: [55, 126]
Generated Node #3: [55, 126] from Operation: 6*21=126
Current State: 71:[55, 126], Operations: ['69-48=21', '6*21=126']
Exploring Operation: 126-55=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
39,
34,
93,
52
] | 32 | [
"39+34=73",
"93-52=41",
"73-41=32"
] | Current State: 32:[39, 34, 93, 52], Operations: []
Exploring Operation: 39+34=73, Resulting Numbers: [93, 52, 73]
Generated Node #2: [93, 52, 73] from Operation: 39+34=73
Current State: 32:[93, 52, 73], Operations: ['39+34=73']
Exploring Operation: 93-52=41, Resulting Numbers: [73, 41]
Generated Node #3: [73, 41] from Operation: 93-52=41
Current State: 32:[73, 41], Operations: ['39+34=73', '93-52=41']
Exploring Operation: 73-41=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
48,
5,
65,
46
] | 11 | [
"48-46=2",
"65/5=13",
"13-2=11"
] | Current State: 11:[48, 5, 65, 46], Operations: []
Exploring Operation: 48-46=2, Resulting Numbers: [5, 65, 2]
Generated Node #2: [5, 65, 2] from Operation: 48-46=2
Current State: 11:[5, 65, 2], Operations: ['48-46=2']
Exploring Operation: 65/5=13, Resulting Numbers: [2, 13]
Generated Node #3: [2, 13] from Operation: 65/5=13
Current State: 11:[2, 13], Operations: ['48-46=2', '65/5=13']
Exploring Operation: 13-2=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
4,
38,
78,
80
] | 44 | [
"4+38=42",
"80-78=2",
"42+2=44"
] | Current State: 44:[4, 38, 78, 80], Operations: []
Exploring Operation: 4+38=42, Resulting Numbers: [78, 80, 42]
Generated Node #2: [78, 80, 42] from Operation: 4+38=42
Current State: 44:[78, 80, 42], Operations: ['4+38=42']
Exploring Operation: 80-78=2, Resulting Numbers: [42, 2]
Generated Node #3: [42, 2] from Operation: 80-78=2
Current State: 44:[42, 2], Operations: ['4+38=42', '80-78=2']
Exploring Operation: 42+2=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
7,
23,
15,
76
] | 10 | [
"15+76=91",
"91/7=13",
"23-13=10"
] | Current State: 10:[7, 23, 15, 76], Operations: []
Exploring Operation: 15+76=91, Resulting Numbers: [7, 23, 91]
Generated Node #2: [7, 23, 91] from Operation: 15+76=91
Current State: 10:[7, 23, 91], Operations: ['15+76=91']
Exploring Operation: 91/7=13, Resulting Numbers: [23, 13]
Generated Node #3: [23, 13] from Operation: 91/7=13
Current State: 10:[23, 13], Operations: ['15+76=91', '91/7=13']
Exploring Operation: 23-13=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
20,
22,
11,
54
] | 88 | [
"22/11=2",
"54*2=108",
"108-20=88"
] | Current State: 88:[20, 22, 11, 54], Operations: []
Exploring Operation: 22/11=2, Resulting Numbers: [20, 54, 2]
Generated Node #2: [20, 54, 2] from Operation: 22/11=2
Current State: 88:[20, 54, 2], Operations: ['22/11=2']
Exploring Operation: 54*2=108, Resulting Numbers: [20, 108]
Generated Node #3: [20, 108] from Operation: 54*2=108
Current State: 88:[20, 108], Operations: ['22/11=2', '54*2=108']
Exploring Operation: 108-20=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
6,
17,
14,
69
] | 71 | [
"17-14=3",
"6/3=2",
"69+2=71"
] | Current State: 71:[6, 17, 14, 69], Operations: []
Exploring Operation: 17-14=3, Resulting Numbers: [6, 69, 3]
Generated Node #2: [6, 69, 3] from Operation: 17-14=3
Current State: 71:[6, 69, 3], Operations: ['17-14=3']
Exploring Operation: 6/3=2, Resulting Numbers: [69, 2]
Generated Node #3: [69, 2] from Operation: 6/3=2
Current State: 71:[69, 2], Operations: ['17-14=3', '6/3=2']
Exploring Operation: 69+2=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
2,
36,
68,
43
] | 14 | [
"68-43=25",
"2*25=50",
"50-36=14"
] | Current State: 14:[2, 36, 68, 43], Operations: []
Exploring Operation: 68-43=25, Resulting Numbers: [2, 36, 25]
Generated Node #2: [2, 36, 25] from Operation: 68-43=25
Current State: 14:[2, 36, 25], Operations: ['68-43=25']
Exploring Operation: 2*25=50, Resulting Numbers: [36, 50]
Generated Node #3: [36, 50] from Operation: 2*25=50
Current State: 14:[36, 50], Operations: ['68-43=25', '2*25=50']
Exploring Operation: 50-36=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
5,
87,
23,
28
] | 25 | [
"87+28=115",
"5*115=575",
"575/23=25"
] | Current State: 25:[5, 87, 23, 28], Operations: []
Exploring Operation: 87+28=115, Resulting Numbers: [5, 23, 115]
Generated Node #2: [5, 23, 115] from Operation: 87+28=115
Current State: 25:[5, 23, 115], Operations: ['87+28=115']
Exploring Operation: 5*115=575, Resulting Numbers: [23, 575]
Generated Node #3: [23, 575] from Operation: 5*115=575
Current State: 25:[23, 575], Operations: ['87+28=115', '5*115=575']
Exploring Operation: 575/23=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
47,
43,
17,
96
] | 75 | [
"47-43=4",
"96-17=79",
"79-4=75"
] | Current State: 75:[47, 43, 17, 96], Operations: []
Exploring Operation: 47-43=4, Resulting Numbers: [17, 96, 4]
Generated Node #2: [17, 96, 4] from Operation: 47-43=4
Current State: 75:[17, 96, 4], Operations: ['47-43=4']
Exploring Operation: 96-17=79, Resulting Numbers: [4, 79]
Generated Node #3: [4, 79] from Operation: 96-17=79
Current State: 75:[4, 79], Operations: ['47-43=4', '96-17=79']
Exploring Operation: 79-4=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
5,
93,
14,
6
] | 89 | [
"14+6=20",
"20/5=4",
"93-4=89"
] | Current State: 89:[5, 93, 14, 6], Operations: []
Exploring Operation: 14+6=20, Resulting Numbers: [5, 93, 20]
Generated Node #2: [5, 93, 20] from Operation: 14+6=20
Current State: 89:[5, 93, 20], Operations: ['14+6=20']
Exploring Operation: 20/5=4, Resulting Numbers: [93, 4]
Generated Node #3: [93, 4] from Operation: 20/5=4
Current State: 89:[93, 4], Operations: ['14+6=20', '20/5=4']
Exploring Operation: 93-4=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
57,
15,
95,
72
] | 47 | [
"15*95=1425",
"1425/57=25",
"72-25=47"
] | Current State: 47:[57, 15, 95, 72], Operations: []
Exploring Operation: 15*95=1425, Resulting Numbers: [57, 72, 1425]
Generated Node #2: [57, 72, 1425] from Operation: 15*95=1425
Current State: 47:[57, 72, 1425], Operations: ['15*95=1425']
Exploring Operation: 1425/57=25, Resulting Numbers: [72, 25]
Generated Node #3: [72, 25] from Operation: 1425/57=25
Current State: 47:[72, 25], Operations: ['15*95=1425', '1425/57=25']
Exploring Operation: 72-25=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
20,
64,
4,
17
] | 33 | [
"20*4=80",
"64-17=47",
"80-47=33"
] | Current State: 33:[20, 64, 4, 17], Operations: []
Exploring Operation: 20*4=80, Resulting Numbers: [64, 17, 80]
Generated Node #2: [64, 17, 80] from Operation: 20*4=80
Current State: 33:[64, 17, 80], Operations: ['20*4=80']
Exploring Operation: 64-17=47, Resulting Numbers: [80, 47]
Generated Node #3: [80, 47] from Operation: 64-17=47
Current State: 33:[80, 47], Operations: ['20*4=80', '64-17=47']
Exploring Operation: 80-47=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
61,
65,
20,
36
] | 56 | [
"65*36=2340",
"2340/20=117",
"117-61=56"
] | Current State: 56:[61, 65, 20, 36], Operations: []
Exploring Operation: 65*36=2340, Resulting Numbers: [61, 20, 2340]
Generated Node #2: [61, 20, 2340] from Operation: 65*36=2340
Current State: 56:[61, 20, 2340], Operations: ['65*36=2340']
Exploring Operation: 2340/20=117, Resulting Numbers: [61, 117]
Generated Node #3: [61, 117] from Operation: 2340/20=117
Current State: 56:[61, 117], Operations: ['65*36=2340', '2340/20=117']
Exploring Operation: 117-61=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
84,
43,
5,
85
] | 48 | [
"85-84=1",
"43+5=48",
"1*48=48"
] | Current State: 48:[84, 43, 5, 85], Operations: []
Exploring Operation: 85-84=1, Resulting Numbers: [43, 5, 1]
Generated Node #2: [43, 5, 1] from Operation: 85-84=1
Current State: 48:[43, 5, 1], Operations: ['85-84=1']
Exploring Operation: 43+5=48, Resulting Numbers: [1, 48]
Generated Node #3: [1, 48] from Operation: 43+5=48
Current State: 48:[1, 48], Operations: ['85-84=1', '43+5=48']
Exploring Operation: 1*48=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
66,
29,
33,
90
] | 94 | [
"66-29=37",
"90-33=57",
"37+57=94"
] | Current State: 94:[66, 29, 33, 90], Operations: []
Exploring Operation: 66-29=37, Resulting Numbers: [33, 90, 37]
Generated Node #2: [33, 90, 37] from Operation: 66-29=37
Current State: 94:[33, 90, 37], Operations: ['66-29=37']
Exploring Operation: 90-33=57, Resulting Numbers: [37, 57]
Generated Node #3: [37, 57] from Operation: 90-33=57
Current State: 94:[37, 57], Operations: ['66-29=37', '90-33=57']
Exploring Operation: 37+57=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
64,
68,
60,
9
] | 72 | [
"64*9=576",
"68-60=8",
"576/8=72"
] | Current State: 72:[64, 68, 60, 9], Operations: []
Exploring Operation: 64*9=576, Resulting Numbers: [68, 60, 576]
Generated Node #2: [68, 60, 576] from Operation: 64*9=576
Current State: 72:[68, 60, 576], Operations: ['64*9=576']
Exploring Operation: 68-60=8, Resulting Numbers: [576, 8]
Generated Node #3: [576, 8] from Operation: 68-60=8
Current State: 72:[576, 8], Operations: ['64*9=576', '68-60=8']
Exploring Operation: 576/8=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
50,
84,
5,
24
] | 35 | [
"50*84=4200",
"5*24=120",
"4200/120=35"
] | Current State: 35:[50, 84, 5, 24], Operations: []
Exploring Operation: 50*84=4200, Resulting Numbers: [5, 24, 4200]
Generated Node #2: [5, 24, 4200] from Operation: 50*84=4200
Current State: 35:[5, 24, 4200], Operations: ['50*84=4200']
Exploring Operation: 5*24=120, Resulting Numbers: [4200, 120]
Generated Node #3: [4200, 120] from Operation: 5*24=120
Current State: 35:[4200, 120], Operations: ['50*84=4200', '5*24=120']
Exploring Operation: 4200/120=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
64,
35,
51,
55
] | 77 | [
"64-35=29",
"51+55=106",
"106-29=77"
] | Current State: 77:[64, 35, 51, 55], Operations: []
Exploring Operation: 64-35=29, Resulting Numbers: [51, 55, 29]
Generated Node #2: [51, 55, 29] from Operation: 64-35=29
Current State: 77:[51, 55, 29], Operations: ['64-35=29']
Exploring Operation: 51+55=106, Resulting Numbers: [29, 106]
Generated Node #3: [29, 106] from Operation: 51+55=106
Current State: 77:[29, 106], Operations: ['64-35=29', '51+55=106']
Exploring Operation: 106-29=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
61,
10,
90,
7
] | 20 | [
"61*10=610",
"90*7=630",
"630-610=20"
] | Current State: 20:[61, 10, 90, 7], Operations: []
Exploring Operation: 61*10=610, Resulting Numbers: [90, 7, 610]
Generated Node #2: [90, 7, 610] from Operation: 61*10=610
Current State: 20:[90, 7, 610], Operations: ['61*10=610']
Exploring Operation: 90*7=630, Resulting Numbers: [610, 630]
Generated Node #3: [610, 630] from Operation: 90*7=630
Current State: 20:[610, 630], Operations: ['61*10=610', '90*7=630']
Exploring Operation: 630-610=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
22,
16,
66,
89
] | 100 | [
"22-16=6",
"66/6=11",
"89+11=100"
] | Current State: 100:[22, 16, 66, 89], Operations: []
Exploring Operation: 22-16=6, Resulting Numbers: [66, 89, 6]
Generated Node #2: [66, 89, 6] from Operation: 22-16=6
Current State: 100:[66, 89, 6], Operations: ['22-16=6']
Exploring Operation: 66/6=11, Resulting Numbers: [89, 11]
Generated Node #3: [89, 11] from Operation: 66/6=11
Current State: 100:[89, 11], Operations: ['22-16=6', '66/6=11']
Exploring Operation: 89+11=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
52,
15,
40,
2
] | 49 | [
"52*2=104",
"15+40=55",
"104-55=49"
] | Current State: 49:[52, 15, 40, 2], Operations: []
Exploring Operation: 52*2=104, Resulting Numbers: [15, 40, 104]
Generated Node #2: [15, 40, 104] from Operation: 52*2=104
Current State: 49:[15, 40, 104], Operations: ['52*2=104']
Exploring Operation: 15+40=55, Resulting Numbers: [104, 55]
Generated Node #3: [104, 55] from Operation: 15+40=55
Current State: 49:[104, 55], Operations: ['52*2=104', '15+40=55']
Exploring Operation: 104-55=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
14,
5,
99,
9
] | 43 | [
"9-5=4",
"14*4=56",
"99-56=43"
] | Current State: 43:[14, 5, 99, 9], Operations: []
Exploring Operation: 9-5=4, Resulting Numbers: [14, 99, 4]
Generated Node #2: [14, 99, 4] from Operation: 9-5=4
Current State: 43:[14, 99, 4], Operations: ['9-5=4']
Exploring Operation: 14*4=56, Resulting Numbers: [99, 56]
Generated Node #3: [99, 56] from Operation: 14*4=56
Current State: 43:[99, 56], Operations: ['9-5=4', '14*4=56']
Exploring Operation: 99-56=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
83,
40,
16,
35
] | 72 | [
"83+40=123",
"16+35=51",
"123-51=72"
] | Current State: 72:[83, 40, 16, 35], Operations: []
Exploring Operation: 83+40=123, Resulting Numbers: [16, 35, 123]
Generated Node #2: [16, 35, 123] from Operation: 83+40=123
Current State: 72:[16, 35, 123], Operations: ['83+40=123']
Exploring Operation: 16+35=51, Resulting Numbers: [123, 51]
Generated Node #3: [123, 51] from Operation: 16+35=51
Current State: 72:[123, 51], Operations: ['83+40=123', '16+35=51']
Exploring Operation: 123-51=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
99,
21,
14,
51
] | 41 | [
"99-21=78",
"51-14=37",
"78-37=41"
] | Current State: 41:[99, 21, 14, 51], Operations: []
Exploring Operation: 99-21=78, Resulting Numbers: [14, 51, 78]
Generated Node #2: [14, 51, 78] from Operation: 99-21=78
Current State: 41:[14, 51, 78], Operations: ['99-21=78']
Exploring Operation: 51-14=37, Resulting Numbers: [78, 37]
Generated Node #3: [78, 37] from Operation: 51-14=37
Current State: 41:[78, 37], Operations: ['99-21=78', '51-14=37']
Exploring Operation: 78-37=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
67,
24,
2,
26
] | 71 | [
"67-24=43",
"2+26=28",
"43+28=71"
] | Current State: 71:[67, 24, 2, 26], Operations: []
Exploring Operation: 67-24=43, Resulting Numbers: [2, 26, 43]
Generated Node #2: [2, 26, 43] from Operation: 67-24=43
Current State: 71:[2, 26, 43], Operations: ['67-24=43']
Exploring Operation: 2+26=28, Resulting Numbers: [43, 28]
Generated Node #3: [43, 28] from Operation: 2+26=28
Current State: 71:[43, 28], Operations: ['67-24=43', '2+26=28']
Exploring Operation: 43+28=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
8,
5,
49,
66
] | 45 | [
"8+49=57",
"66-57=9",
"5*9=45"
] | Current State: 45:[8, 5, 49, 66], Operations: []
Exploring Operation: 8+49=57, Resulting Numbers: [5, 66, 57]
Generated Node #2: [5, 66, 57] from Operation: 8+49=57
Current State: 45:[5, 66, 57], Operations: ['8+49=57']
Exploring Operation: 66-57=9, Resulting Numbers: [5, 9]
Generated Node #3: [5, 9] from Operation: 66-57=9
Current State: 45:[5, 9], Operations: ['8+49=57', '66-57=9']
Exploring Operation: 5*9=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
73,
11,
90,
40
] | 46 | [
"73+11=84",
"90+40=130",
"130-84=46"
] | Current State: 46:[73, 11, 90, 40], Operations: []
Exploring Operation: 73+11=84, Resulting Numbers: [90, 40, 84]
Generated Node #2: [90, 40, 84] from Operation: 73+11=84
Current State: 46:[90, 40, 84], Operations: ['73+11=84']
Exploring Operation: 90+40=130, Resulting Numbers: [84, 130]
Generated Node #3: [84, 130] from Operation: 90+40=130
Current State: 46:[84, 130], Operations: ['73+11=84', '90+40=130']
Exploring Operation: 130-84=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
76,
84,
12,
57
] | 54 | [
"84-12=72",
"57*72=4104",
"4104/76=54"
] | Current State: 54:[76, 84, 12, 57], Operations: []
Exploring Operation: 84-12=72, Resulting Numbers: [76, 57, 72]
Generated Node #2: [76, 57, 72] from Operation: 84-12=72
Current State: 54:[76, 57, 72], Operations: ['84-12=72']
Exploring Operation: 57*72=4104, Resulting Numbers: [76, 4104]
Generated Node #3: [76, 4104] from Operation: 57*72=4104
Current State: 54:[76, 4104], Operations: ['84-12=72', '57*72=4104']
Exploring Operation: 4104/76=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
94,
40,
39,
57
] | 37 | [
"94-57=37",
"40-39=1",
"37*1=37"
] | Current State: 37:[94, 40, 39, 57], Operations: []
Exploring Operation: 94-57=37, Resulting Numbers: [40, 39, 37]
Generated Node #2: [40, 39, 37] from Operation: 94-57=37
Current State: 37:[40, 39, 37], Operations: ['94-57=37']
Exploring Operation: 40-39=1, Resulting Numbers: [37, 1]
Generated Node #3: [37, 1] from Operation: 40-39=1
Current State: 37:[37, 1], Operations: ['94-57=37', '40-39=1']
Exploring Operation: 37*1=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
9,
8,
89,
83
] | 24 | [
"89-9=80",
"83-80=3",
"8*3=24"
] | Current State: 24:[9, 8, 89, 83], Operations: []
Exploring Operation: 89-9=80, Resulting Numbers: [8, 83, 80]
Generated Node #2: [8, 83, 80] from Operation: 89-9=80
Current State: 24:[8, 83, 80], Operations: ['89-9=80']
Exploring Operation: 83-80=3, Resulting Numbers: [8, 3]
Generated Node #3: [8, 3] from Operation: 83-80=3
Current State: 24:[8, 3], Operations: ['89-9=80', '83-80=3']
Exploring Operation: 8*3=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
19,
57,
45,
47
] | 78 | [
"19+57=76",
"47-45=2",
"76+2=78"
] | Current State: 78:[19, 57, 45, 47], Operations: []
Exploring Operation: 19+57=76, Resulting Numbers: [45, 47, 76]
Generated Node #2: [45, 47, 76] from Operation: 19+57=76
Current State: 78:[45, 47, 76], Operations: ['19+57=76']
Exploring Operation: 47-45=2, Resulting Numbers: [76, 2]
Generated Node #3: [76, 2] from Operation: 47-45=2
Current State: 78:[76, 2], Operations: ['19+57=76', '47-45=2']
Exploring Operation: 76+2=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
74,
1,
55,
63
] | 66 | [
"74*1=74",
"63-55=8",
"74-8=66"
] | Current State: 66:[74, 1, 55, 63], Operations: []
Exploring Operation: 74*1=74, Resulting Numbers: [55, 63, 74]
Generated Node #2: [55, 63, 74] from Operation: 74*1=74
Current State: 66:[55, 63, 74], Operations: ['74*1=74']
Exploring Operation: 63-55=8, Resulting Numbers: [74, 8]
Generated Node #3: [74, 8] from Operation: 63-55=8
Current State: 66:[74, 8], Operations: ['74*1=74', '63-55=8']
Exploring Operation: 74-8=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
66,
95,
23,
86
] | 52 | [
"66+95=161",
"23+86=109",
"161-109=52"
] | Current State: 52:[66, 95, 23, 86], Operations: []
Exploring Operation: 66+95=161, Resulting Numbers: [23, 86, 161]
Generated Node #2: [23, 86, 161] from Operation: 66+95=161
Current State: 52:[23, 86, 161], Operations: ['66+95=161']
Exploring Operation: 23+86=109, Resulting Numbers: [161, 109]
Generated Node #3: [161, 109] from Operation: 23+86=109
Current State: 52:[161, 109], Operations: ['66+95=161', '23+86=109']
Exploring Operation: 161-109=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
57,
61,
36,
11
] | 14 | [
"57+61=118",
"36+118=154",
"154/11=14"
] | Current State: 14:[57, 61, 36, 11], Operations: []
Exploring Operation: 57+61=118, Resulting Numbers: [36, 11, 118]
Generated Node #2: [36, 11, 118] from Operation: 57+61=118
Current State: 14:[36, 11, 118], Operations: ['57+61=118']
Exploring Operation: 36+118=154, Resulting Numbers: [11, 154]
Generated Node #3: [11, 154] from Operation: 36+118=154
Current State: 14:[11, 154], Operations: ['57+61=118', '36+118=154']
Exploring Operation: 154/11=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
21,
57,
59,
77
] | 100 | [
"57-21=36",
"59+77=136",
"136-36=100"
] | Current State: 100:[21, 57, 59, 77], Operations: []
Exploring Operation: 57-21=36, Resulting Numbers: [59, 77, 36]
Generated Node #2: [59, 77, 36] from Operation: 57-21=36
Current State: 100:[59, 77, 36], Operations: ['57-21=36']
Exploring Operation: 59+77=136, Resulting Numbers: [36, 136]
Generated Node #3: [36, 136] from Operation: 59+77=136
Current State: 100:[36, 136], Operations: ['57-21=36', '59+77=136']
Exploring Operation: 136-36=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
70,
23,
65,
82
] | 33 | [
"70-65=5",
"23*5=115",
"115-82=33"
] | Current State: 33:[70, 23, 65, 82], Operations: []
Exploring Operation: 70-65=5, Resulting Numbers: [23, 82, 5]
Generated Node #2: [23, 82, 5] from Operation: 70-65=5
Current State: 33:[23, 82, 5], Operations: ['70-65=5']
Exploring Operation: 23*5=115, Resulting Numbers: [82, 115]
Generated Node #3: [82, 115] from Operation: 23*5=115
Current State: 33:[82, 115], Operations: ['70-65=5', '23*5=115']
Exploring Operation: 115-82=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
95,
13,
87,
41
] | 62 | [
"95+13=108",
"87-41=46",
"108-46=62"
] | Current State: 62:[95, 13, 87, 41], Operations: []
Exploring Operation: 95+13=108, Resulting Numbers: [87, 41, 108]
Generated Node #2: [87, 41, 108] from Operation: 95+13=108
Current State: 62:[87, 41, 108], Operations: ['95+13=108']
Exploring Operation: 87-41=46, Resulting Numbers: [108, 46]
Generated Node #3: [108, 46] from Operation: 87-41=46
Current State: 62:[108, 46], Operations: ['95+13=108', '87-41=46']
Exploring Operation: 108-46=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
21,
57,
99,
19
] | 82 | [
"57-21=36",
"99+19=118",
"118-36=82"
] | Current State: 82:[21, 57, 99, 19], Operations: []
Exploring Operation: 57-21=36, Resulting Numbers: [99, 19, 36]
Generated Node #2: [99, 19, 36] from Operation: 57-21=36
Current State: 82:[99, 19, 36], Operations: ['57-21=36']
Exploring Operation: 99+19=118, Resulting Numbers: [36, 118]
Generated Node #3: [36, 118] from Operation: 99+19=118
Current State: 82:[36, 118], Operations: ['57-21=36', '99+19=118']
Exploring Operation: 118-36=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
14,
86,
36,
98
] | 10 | [
"86-14=72",
"98-36=62",
"72-62=10"
] | Current State: 10:[14, 86, 36, 98], Operations: []
Exploring Operation: 86-14=72, Resulting Numbers: [36, 98, 72]
Generated Node #2: [36, 98, 72] from Operation: 86-14=72
Current State: 10:[36, 98, 72], Operations: ['86-14=72']
Exploring Operation: 98-36=62, Resulting Numbers: [72, 62]
Generated Node #3: [72, 62] from Operation: 98-36=62
Current State: 10:[72, 62], Operations: ['86-14=72', '98-36=62']
Exploring Operation: 72-62=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
3,
11,
84,
30
] | 87 | [
"3*11=33",
"84-30=54",
"33+54=87"
] | Current State: 87:[3, 11, 84, 30], Operations: []
Exploring Operation: 3*11=33, Resulting Numbers: [84, 30, 33]
Generated Node #2: [84, 30, 33] from Operation: 3*11=33
Current State: 87:[84, 30, 33], Operations: ['3*11=33']
Exploring Operation: 84-30=54, Resulting Numbers: [33, 54]
Generated Node #3: [33, 54] from Operation: 84-30=54
Current State: 87:[33, 54], Operations: ['3*11=33', '84-30=54']
Exploring Operation: 33+54=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
16,
4,
26,
82
] | 38 | [
"82-16=66",
"4*26=104",
"104-66=38"
] | Current State: 38:[16, 4, 26, 82], Operations: []
Exploring Operation: 82-16=66, Resulting Numbers: [4, 26, 66]
Generated Node #2: [4, 26, 66] from Operation: 82-16=66
Current State: 38:[4, 26, 66], Operations: ['82-16=66']
Exploring Operation: 4*26=104, Resulting Numbers: [66, 104]
Generated Node #3: [66, 104] from Operation: 4*26=104
Current State: 38:[66, 104], Operations: ['82-16=66', '4*26=104']
Exploring Operation: 104-66=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
93,
53,
95,
32
] | 76 | [
"93-53=40",
"95*32=3040",
"3040/40=76"
] | Current State: 76:[93, 53, 95, 32], Operations: []
Exploring Operation: 93-53=40, Resulting Numbers: [95, 32, 40]
Generated Node #2: [95, 32, 40] from Operation: 93-53=40
Current State: 76:[95, 32, 40], Operations: ['93-53=40']
Exploring Operation: 95*32=3040, Resulting Numbers: [40, 3040]
Generated Node #3: [40, 3040] from Operation: 95*32=3040
Current State: 76:[40, 3040], Operations: ['93-53=40', '95*32=3040']
Exploring Operation: 3040/40=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
12,
59,
53,
78
] | 25 | [
"59-53=6",
"78/6=13",
"12+13=25"
] | Current State: 25:[12, 59, 53, 78], Operations: []
Exploring Operation: 59-53=6, Resulting Numbers: [12, 78, 6]
Generated Node #2: [12, 78, 6] from Operation: 59-53=6
Current State: 25:[12, 78, 6], Operations: ['59-53=6']
Exploring Operation: 78/6=13, Resulting Numbers: [12, 13]
Generated Node #3: [12, 13] from Operation: 78/6=13
Current State: 25:[12, 13], Operations: ['59-53=6', '78/6=13']
Exploring Operation: 12+13=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
19,
47,
56,
47
] | 94 | [
"47-19=28",
"56*47=2632",
"2632/28=94"
] | Current State: 94:[19, 47, 56, 47], Operations: []
Exploring Operation: 47-19=28, Resulting Numbers: [56, 28]
Generated Node #2: [56, 28] from Operation: 47-19=28
Current State: 94:[56, 28], Operations: ['47-19=28']
Exploring Operation: 56*47=2632, Resulting Numbers: [28, 2632]
Generated Node #3: [28, 2632] from Operation: 56*47=2632
Current State: 94:[28, 2632], Operations: ['47-19=28', '56*47=2632']
Exploring Operation: 2632/28=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
18,
88,
19,
9
] | 25 | [
"18/9=2",
"88/2=44",
"44-19=25"
] | Current State: 25:[18, 88, 19, 9], Operations: []
Exploring Operation: 18/9=2, Resulting Numbers: [88, 19, 2]
Generated Node #2: [88, 19, 2] from Operation: 18/9=2
Current State: 25:[88, 19, 2], Operations: ['18/9=2']
Exploring Operation: 88/2=44, Resulting Numbers: [19, 44]
Generated Node #3: [19, 44] from Operation: 88/2=44
Current State: 25:[19, 44], Operations: ['18/9=2', '88/2=44']
Exploring Operation: 44-19=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
72,
58,
2,
35
] | 79 | [
"72-35=37",
"58*2=116",
"116-37=79"
] | Current State: 79:[72, 58, 2, 35], Operations: []
Exploring Operation: 72-35=37, Resulting Numbers: [58, 2, 37]
Generated Node #2: [58, 2, 37] from Operation: 72-35=37
Current State: 79:[58, 2, 37], Operations: ['72-35=37']
Exploring Operation: 58*2=116, Resulting Numbers: [37, 116]
Generated Node #3: [37, 116] from Operation: 58*2=116
Current State: 79:[37, 116], Operations: ['72-35=37', '58*2=116']
Exploring Operation: 116-37=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
16,
9,
69,
11
] | 72 | [
"16+11=27",
"27/9=3",
"69+3=72"
] | Current State: 72:[16, 9, 69, 11], Operations: []
Exploring Operation: 16+11=27, Resulting Numbers: [9, 69, 27]
Generated Node #2: [9, 69, 27] from Operation: 16+11=27
Current State: 72:[9, 69, 27], Operations: ['16+11=27']
Exploring Operation: 27/9=3, Resulting Numbers: [69, 3]
Generated Node #3: [69, 3] from Operation: 27/9=3
Current State: 72:[69, 3], Operations: ['16+11=27', '27/9=3']
Exploring Operation: 69+3=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
89,
7,
13,
5
] | 63 | [
"7-5=2",
"13*2=26",
"89-26=63"
] | Current State: 63:[89, 7, 13, 5], Operations: []
Exploring Operation: 7-5=2, Resulting Numbers: [89, 13, 2]
Generated Node #2: [89, 13, 2] from Operation: 7-5=2
Current State: 63:[89, 13, 2], Operations: ['7-5=2']
Exploring Operation: 13*2=26, Resulting Numbers: [89, 26]
Generated Node #3: [89, 26] from Operation: 13*2=26
Current State: 63:[89, 26], Operations: ['7-5=2', '13*2=26']
Exploring Operation: 89-26=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
89,
24,
78,
90
] | 55 | [
"89+24=113",
"78+90=168",
"168-113=55"
] | Current State: 55:[89, 24, 78, 90], Operations: []
Exploring Operation: 89+24=113, Resulting Numbers: [78, 90, 113]
Generated Node #2: [78, 90, 113] from Operation: 89+24=113
Current State: 55:[78, 90, 113], Operations: ['89+24=113']
Exploring Operation: 78+90=168, Resulting Numbers: [113, 168]
Generated Node #3: [113, 168] from Operation: 78+90=168
Current State: 55:[113, 168], Operations: ['89+24=113', '78+90=168']
Exploring Operation: 168-113=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
91,
77,
21,
48
] | 85 | [
"77*48=3696",
"3696/21=176",
"176-91=85"
] | Current State: 85:[91, 77, 21, 48], Operations: []
Exploring Operation: 77*48=3696, Resulting Numbers: [91, 21, 3696]
Generated Node #2: [91, 21, 3696] from Operation: 77*48=3696
Current State: 85:[91, 21, 3696], Operations: ['77*48=3696']
Exploring Operation: 3696/21=176, Resulting Numbers: [91, 176]
Generated Node #3: [91, 176] from Operation: 3696/21=176
Current State: 85:[91, 176], Operations: ['77*48=3696', '3696/21=176']
Exploring Operation: 176-91=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
36,
10,
51,
24
] | 69 | [
"36-24=12",
"10*12=120",
"120-51=69"
] | Current State: 69:[36, 10, 51, 24], Operations: []
Exploring Operation: 36-24=12, Resulting Numbers: [10, 51, 12]
Generated Node #2: [10, 51, 12] from Operation: 36-24=12
Current State: 69:[10, 51, 12], Operations: ['36-24=12']
Exploring Operation: 10*12=120, Resulting Numbers: [51, 120]
Generated Node #3: [51, 120] from Operation: 10*12=120
Current State: 69:[51, 120], Operations: ['36-24=12', '10*12=120']
Exploring Operation: 120-51=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
96,
67,
78,
94
] | 73 | [
"94-78=16",
"96/16=6",
"67+6=73"
] | Current State: 73:[96, 67, 78, 94], Operations: []
Exploring Operation: 94-78=16, Resulting Numbers: [96, 67, 16]
Generated Node #2: [96, 67, 16] from Operation: 94-78=16
Current State: 73:[96, 67, 16], Operations: ['94-78=16']
Exploring Operation: 96/16=6, Resulting Numbers: [67, 6]
Generated Node #3: [67, 6] from Operation: 96/16=6
Current State: 73:[67, 6], Operations: ['94-78=16', '96/16=6']
Exploring Operation: 67+6=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
74,
57,
2,
30
] | 61 | [
"74*2=148",
"57+30=87",
"148-87=61"
] | Current State: 61:[74, 57, 2, 30], Operations: []
Exploring Operation: 74*2=148, Resulting Numbers: [57, 30, 148]
Generated Node #2: [57, 30, 148] from Operation: 74*2=148
Current State: 61:[57, 30, 148], Operations: ['74*2=148']
Exploring Operation: 57+30=87, Resulting Numbers: [148, 87]
Generated Node #3: [148, 87] from Operation: 57+30=87
Current State: 61:[148, 87], Operations: ['74*2=148', '57+30=87']
Exploring Operation: 148-87=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
61,
57,
67,
55
] | 59 | [
"67+55=122",
"122/61=2",
"57+2=59"
] | Current State: 59:[61, 57, 67, 55], Operations: []
Exploring Operation: 67+55=122, Resulting Numbers: [61, 57, 122]
Generated Node #2: [61, 57, 122] from Operation: 67+55=122
Current State: 59:[61, 57, 122], Operations: ['67+55=122']
Exploring Operation: 122/61=2, Resulting Numbers: [57, 2]
Generated Node #3: [57, 2] from Operation: 122/61=2
Current State: 59:[57, 2], Operations: ['67+55=122', '122/61=2']
Exploring Operation: 57+2=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
67,
27,
21,
28
] | 47 | [
"67-27=40",
"28-21=7",
"40+7=47"
] | Current State: 47:[67, 27, 21, 28], Operations: []
Exploring Operation: 67-27=40, Resulting Numbers: [21, 28, 40]
Generated Node #2: [21, 28, 40] from Operation: 67-27=40
Current State: 47:[21, 28, 40], Operations: ['67-27=40']
Exploring Operation: 28-21=7, Resulting Numbers: [40, 7]
Generated Node #3: [40, 7] from Operation: 28-21=7
Current State: 47:[40, 7], Operations: ['67-27=40', '28-21=7']
Exploring Operation: 40+7=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
11,
90,
6,
2
] | 75 | [
"90-11=79",
"6-2=4",
"79-4=75"
] | Current State: 75:[11, 90, 6, 2], Operations: []
Exploring Operation: 90-11=79, Resulting Numbers: [6, 2, 79]
Generated Node #2: [6, 2, 79] from Operation: 90-11=79
Current State: 75:[6, 2, 79], Operations: ['90-11=79']
Exploring Operation: 6-2=4, Resulting Numbers: [79, 4]
Generated Node #3: [79, 4] from Operation: 6-2=4
Current State: 75:[79, 4], Operations: ['90-11=79', '6-2=4']
Exploring Operation: 79-4=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
27,
74,
24,
61
] | 64 | [
"27+74=101",
"61-24=37",
"101-37=64"
] | Current State: 64:[27, 74, 24, 61], Operations: []
Exploring Operation: 27+74=101, Resulting Numbers: [24, 61, 101]
Generated Node #2: [24, 61, 101] from Operation: 27+74=101
Current State: 64:[24, 61, 101], Operations: ['27+74=101']
Exploring Operation: 61-24=37, Resulting Numbers: [101, 37]
Generated Node #3: [101, 37] from Operation: 61-24=37
Current State: 64:[101, 37], Operations: ['27+74=101', '61-24=37']
Exploring Operation: 101-37=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
66,
59,
9,
26
] | 52 | [
"66-59=7",
"9-7=2",
"26*2=52"
] | Current State: 52:[66, 59, 9, 26], Operations: []
Exploring Operation: 66-59=7, Resulting Numbers: [9, 26, 7]
Generated Node #2: [9, 26, 7] from Operation: 66-59=7
Current State: 52:[9, 26, 7], Operations: ['66-59=7']
Exploring Operation: 9-7=2, Resulting Numbers: [26, 2]
Generated Node #3: [26, 2] from Operation: 9-7=2
Current State: 52:[26, 2], Operations: ['66-59=7', '9-7=2']
Exploring Operation: 26*2=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
76,
19,
2,
20
] | 29 | [
"76+20=96",
"96/2=48",
"48-19=29"
] | Current State: 29:[76, 19, 2, 20], Operations: []
Exploring Operation: 76+20=96, Resulting Numbers: [19, 2, 96]
Generated Node #2: [19, 2, 96] from Operation: 76+20=96
Current State: 29:[19, 2, 96], Operations: ['76+20=96']
Exploring Operation: 96/2=48, Resulting Numbers: [19, 48]
Generated Node #3: [19, 48] from Operation: 96/2=48
Current State: 29:[19, 48], Operations: ['76+20=96', '96/2=48']
Exploring Operation: 48-19=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
17,
16,
68,
29
] | 25 | [
"17*16=272",
"272/68=4",
"29-4=25"
] | Current State: 25:[17, 16, 68, 29], Operations: []
Exploring Operation: 17*16=272, Resulting Numbers: [68, 29, 272]
Generated Node #2: [68, 29, 272] from Operation: 17*16=272
Current State: 25:[68, 29, 272], Operations: ['17*16=272']
Exploring Operation: 272/68=4, Resulting Numbers: [29, 4]
Generated Node #3: [29, 4] from Operation: 272/68=4
Current State: 25:[29, 4], Operations: ['17*16=272', '272/68=4']
Exploring Operation: 29-4=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
74,
22,
24,
86
] | 80 | [
"74+86=160",
"24-22=2",
"160/2=80"
] | Current State: 80:[74, 22, 24, 86], Operations: []
Exploring Operation: 74+86=160, Resulting Numbers: [22, 24, 160]
Generated Node #2: [22, 24, 160] from Operation: 74+86=160
Current State: 80:[22, 24, 160], Operations: ['74+86=160']
Exploring Operation: 24-22=2, Resulting Numbers: [160, 2]
Generated Node #3: [160, 2] from Operation: 24-22=2
Current State: 80:[160, 2], Operations: ['74+86=160', '24-22=2']
Exploring Operation: 160/2=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
10,
30,
28,
17
] | 65 | [
"30-10=20",
"28+17=45",
"20+45=65"
] | Current State: 65:[10, 30, 28, 17], Operations: []
Exploring Operation: 30-10=20, Resulting Numbers: [28, 17, 20]
Generated Node #2: [28, 17, 20] from Operation: 30-10=20
Current State: 65:[28, 17, 20], Operations: ['30-10=20']
Exploring Operation: 28+17=45, Resulting Numbers: [20, 45]
Generated Node #3: [20, 45] from Operation: 28+17=45
Current State: 65:[20, 45], Operations: ['30-10=20', '28+17=45']
Exploring Operation: 20+45=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
92,
18,
7,
13
] | 89 | [
"13-7=6",
"18/6=3",
"92-3=89"
] | Current State: 89:[92, 18, 7, 13], Operations: []
Exploring Operation: 13-7=6, Resulting Numbers: [92, 18, 6]
Generated Node #2: [92, 18, 6] from Operation: 13-7=6
Current State: 89:[92, 18, 6], Operations: ['13-7=6']
Exploring Operation: 18/6=3, Resulting Numbers: [92, 3]
Generated Node #3: [92, 3] from Operation: 18/6=3
Current State: 89:[92, 3], Operations: ['13-7=6', '18/6=3']
Exploring Operation: 92-3=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
50,
24,
44,
4
] | 30 | [
"50*24=1200",
"44-4=40",
"1200/40=30"
] | Current State: 30:[50, 24, 44, 4], Operations: []
Exploring Operation: 50*24=1200, Resulting Numbers: [44, 4, 1200]
Generated Node #2: [44, 4, 1200] from Operation: 50*24=1200
Current State: 30:[44, 4, 1200], Operations: ['50*24=1200']
Exploring Operation: 44-4=40, Resulting Numbers: [1200, 40]
Generated Node #3: [1200, 40] from Operation: 44-4=40
Current State: 30:[1200, 40], Operations: ['50*24=1200', '44-4=40']
Exploring Operation: 1200/40=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
53,
80,
67,
33
] | 73 | [
"80-53=27",
"67+33=100",
"100-27=73"
] | Current State: 73:[53, 80, 67, 33], Operations: []
Exploring Operation: 80-53=27, Resulting Numbers: [67, 33, 27]
Generated Node #2: [67, 33, 27] from Operation: 80-53=27
Current State: 73:[67, 33, 27], Operations: ['80-53=27']
Exploring Operation: 67+33=100, Resulting Numbers: [27, 100]
Generated Node #3: [27, 100] from Operation: 67+33=100
Current State: 73:[27, 100], Operations: ['80-53=27', '67+33=100']
Exploring Operation: 100-27=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
7,
83,
39,
36
] | 17 | [
"39*36=1404",
"7+1404=1411",
"1411/83=17"
] | Current State: 17:[7, 83, 39, 36], Operations: []
Exploring Operation: 39*36=1404, Resulting Numbers: [7, 83, 1404]
Generated Node #2: [7, 83, 1404] from Operation: 39*36=1404
Current State: 17:[7, 83, 1404], Operations: ['39*36=1404']
Exploring Operation: 7+1404=1411, Resulting Numbers: [83, 1411]
Generated Node #3: [83, 1411] from Operation: 7+1404=1411
Current State: 17:[83, 1411], Operations: ['39*36=1404', '7+1404=1411']
Exploring Operation: 1411/83=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
41,
11,
27,
26
] | 83 | [
"41-11=30",
"27+26=53",
"30+53=83"
] | Current State: 83:[41, 11, 27, 26], Operations: []
Exploring Operation: 41-11=30, Resulting Numbers: [27, 26, 30]
Generated Node #2: [27, 26, 30] from Operation: 41-11=30
Current State: 83:[27, 26, 30], Operations: ['41-11=30']
Exploring Operation: 27+26=53, Resulting Numbers: [30, 53]
Generated Node #3: [30, 53] from Operation: 27+26=53
Current State: 83:[30, 53], Operations: ['41-11=30', '27+26=53']
Exploring Operation: 30+53=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
74,
58,
37,
56
] | 35 | [
"74-58=16",
"56-37=19",
"16+19=35"
] | Current State: 35:[74, 58, 37, 56], Operations: []
Exploring Operation: 74-58=16, Resulting Numbers: [37, 56, 16]
Generated Node #2: [37, 56, 16] from Operation: 74-58=16
Current State: 35:[37, 56, 16], Operations: ['74-58=16']
Exploring Operation: 56-37=19, Resulting Numbers: [16, 19]
Generated Node #3: [16, 19] from Operation: 56-37=19
Current State: 35:[16, 19], Operations: ['74-58=16', '56-37=19']
Exploring Operation: 16+19=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
1,
5,
24,
59
] | 29 | [
"1+5=6",
"59-24=35",
"35-6=29"
] | Current State: 29:[1, 5, 24, 59], Operations: []
Exploring Operation: 1+5=6, Resulting Numbers: [24, 59, 6]
Generated Node #2: [24, 59, 6] from Operation: 1+5=6
Current State: 29:[24, 59, 6], Operations: ['1+5=6']
Exploring Operation: 59-24=35, Resulting Numbers: [6, 35]
Generated Node #3: [6, 35] from Operation: 59-24=35
Current State: 29:[6, 35], Operations: ['1+5=6', '59-24=35']
Exploring Operation: 35-6=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
50,
68,
28,
56
] | 10 | [
"68-50=18",
"56-28=28",
"28-18=10"
] | Current State: 10:[50, 68, 28, 56], Operations: []
Exploring Operation: 68-50=18, Resulting Numbers: [28, 56, 18]
Generated Node #2: [28, 56, 18] from Operation: 68-50=18
Current State: 10:[28, 56, 18], Operations: ['68-50=18']
Exploring Operation: 56-28=28, Resulting Numbers: [18, 28]
Generated Node #3: [18, 28] from Operation: 56-28=28
Current State: 10:[18, 28], Operations: ['68-50=18', '56-28=28']
Exploring Operation: 28-18=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
73,
23,
70,
40
] | 29 | [
"73-70=3",
"23*3=69",
"69-40=29"
] | Current State: 29:[73, 23, 70, 40], Operations: []
Exploring Operation: 73-70=3, Resulting Numbers: [23, 40, 3]
Generated Node #2: [23, 40, 3] from Operation: 73-70=3
Current State: 29:[23, 40, 3], Operations: ['73-70=3']
Exploring Operation: 23*3=69, Resulting Numbers: [40, 69]
Generated Node #3: [40, 69] from Operation: 23*3=69
Current State: 29:[40, 69], Operations: ['73-70=3', '23*3=69']
Exploring Operation: 69-40=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
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