nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
57,
19,
12,
18
] | 72 | [
"57/19=3",
"12*18=216",
"216/3=72"
] | Current State: 72:[57, 19, 12, 18], Operations: []
Exploring Operation: 57/19=3, Resulting Numbers: [12, 18, 3]
Generated Node #2: [12, 18, 3] from Operation: 57/19=3
Current State: 72:[12, 18, 3], Operations: ['57/19=3']
Exploring Operation: 12*18=216, Resulting Numbers: [3, 216]
Generated Node #3: [3, 216] from Operation: 12*18=216
Current State: 72:[3, 216], Operations: ['57/19=3', '12*18=216']
Exploring Operation: 216/3=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
28,
56,
84,
95
] | 39 | [
"56-28=28",
"95-84=11",
"28+11=39"
] | Current State: 39:[28, 56, 84, 95], Operations: []
Exploring Operation: 56-28=28, Resulting Numbers: [84, 95, 28]
Generated Node #2: [84, 95, 28] from Operation: 56-28=28
Current State: 39:[84, 95, 28], Operations: ['56-28=28']
Exploring Operation: 95-84=11, Resulting Numbers: [28, 11]
Generated Node #3: [28, 11] from Operation: 95-84=11
Current State: 39:[28, 11], Operations: ['56-28=28', '95-84=11']
Exploring Operation: 28+11=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
55,
42,
32,
54
] | 11 | [
"55+42=97",
"32+54=86",
"97-86=11"
] | Current State: 11:[55, 42, 32, 54], Operations: []
Exploring Operation: 55+42=97, Resulting Numbers: [32, 54, 97]
Generated Node #2: [32, 54, 97] from Operation: 55+42=97
Current State: 11:[32, 54, 97], Operations: ['55+42=97']
Exploring Operation: 32+54=86, Resulting Numbers: [97, 86]
Generated Node #3: [97, 86] from Operation: 32+54=86
Current State: 11:[97, 86], Operations: ['55+42=97', '32+54=86']
Exploring Operation: 97-86=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
28,
26,
77,
35
] | 58 | [
"28+26=54",
"77+35=112",
"112-54=58"
] | Current State: 58:[28, 26, 77, 35], Operations: []
Exploring Operation: 28+26=54, Resulting Numbers: [77, 35, 54]
Generated Node #2: [77, 35, 54] from Operation: 28+26=54
Current State: 58:[77, 35, 54], Operations: ['28+26=54']
Exploring Operation: 77+35=112, Resulting Numbers: [54, 112]
Generated Node #3: [54, 112] from Operation: 77+35=112
Current State: 58:[54, 112], Operations: ['28+26=54', '77+35=112']
Exploring Operation: 112-54=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
94,
80,
66,
2
] | 24 | [
"94-66=28",
"2*28=56",
"80-56=24"
] | Current State: 24:[94, 80, 66, 2], Operations: []
Exploring Operation: 94-66=28, Resulting Numbers: [80, 2, 28]
Generated Node #2: [80, 2, 28] from Operation: 94-66=28
Current State: 24:[80, 2, 28], Operations: ['94-66=28']
Exploring Operation: 2*28=56, Resulting Numbers: [80, 56]
Generated Node #3: [80, 56] from Operation: 2*28=56
Current State: 24:[80, 56], Operations: ['94-66=28', '2*28=56']
Exploring Operation: 80-56=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
85,
67,
83,
36
] | 49 | [
"85-83=2",
"36/2=18",
"67-18=49"
] | Current State: 49:[85, 67, 83, 36], Operations: []
Exploring Operation: 85-83=2, Resulting Numbers: [67, 36, 2]
Generated Node #2: [67, 36, 2] from Operation: 85-83=2
Current State: 49:[67, 36, 2], Operations: ['85-83=2']
Exploring Operation: 36/2=18, Resulting Numbers: [67, 18]
Generated Node #3: [67, 18] from Operation: 36/2=18
Current State: 49:[67, 18], Operations: ['85-83=2', '36/2=18']
Exploring Operation: 67-18=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
52,
54,
1,
52
] | 49 | [
"54-52=2",
"52-1=51",
"51-2=49"
] | Current State: 49:[52, 54, 1, 52], Operations: []
Exploring Operation: 54-52=2, Resulting Numbers: [1, 2]
Generated Node #2: [1, 2] from Operation: 54-52=2
Current State: 49:[1, 2], Operations: ['54-52=2']
Exploring Operation: 52-1=51, Resulting Numbers: [2, 51]
Generated Node #3: [2, 51] from Operation: 52-1=51
Current State: 49:[2, 51], Operations: ['54-52=2', '52-1=51']
Exploring Operation: 51-2=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
77,
4,
11,
39
] | 17 | [
"77+11=88",
"88/4=22",
"39-22=17"
] | Current State: 17:[77, 4, 11, 39], Operations: []
Exploring Operation: 77+11=88, Resulting Numbers: [4, 39, 88]
Generated Node #2: [4, 39, 88] from Operation: 77+11=88
Current State: 17:[4, 39, 88], Operations: ['77+11=88']
Exploring Operation: 88/4=22, Resulting Numbers: [39, 22]
Generated Node #3: [39, 22] from Operation: 88/4=22
Current State: 17:[39, 22], Operations: ['77+11=88', '88/4=22']
Exploring Operation: 39-22=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
36,
24,
37,
75
] | 22 | [
"36+24=60",
"75-37=38",
"60-38=22"
] | Current State: 22:[36, 24, 37, 75], Operations: []
Exploring Operation: 36+24=60, Resulting Numbers: [37, 75, 60]
Generated Node #2: [37, 75, 60] from Operation: 36+24=60
Current State: 22:[37, 75, 60], Operations: ['36+24=60']
Exploring Operation: 75-37=38, Resulting Numbers: [60, 38]
Generated Node #3: [60, 38] from Operation: 75-37=38
Current State: 22:[60, 38], Operations: ['36+24=60', '75-37=38']
Exploring Operation: 60-38=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
21,
53,
5,
57
] | 12 | [
"21+53=74",
"5+57=62",
"74-62=12"
] | Current State: 12:[21, 53, 5, 57], Operations: []
Exploring Operation: 21+53=74, Resulting Numbers: [5, 57, 74]
Generated Node #2: [5, 57, 74] from Operation: 21+53=74
Current State: 12:[5, 57, 74], Operations: ['21+53=74']
Exploring Operation: 5+57=62, Resulting Numbers: [74, 62]
Generated Node #3: [74, 62] from Operation: 5+57=62
Current State: 12:[74, 62], Operations: ['21+53=74', '5+57=62']
Exploring Operation: 74-62=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
44,
86,
55,
96
] | 21 | [
"44+86=130",
"55+96=151",
"151-130=21"
] | Current State: 21:[44, 86, 55, 96], Operations: []
Exploring Operation: 44+86=130, Resulting Numbers: [55, 96, 130]
Generated Node #2: [55, 96, 130] from Operation: 44+86=130
Current State: 21:[55, 96, 130], Operations: ['44+86=130']
Exploring Operation: 55+96=151, Resulting Numbers: [130, 151]
Generated Node #3: [130, 151] from Operation: 55+96=151
Current State: 21:[130, 151], Operations: ['44+86=130', '55+96=151']
Exploring Operation: 151-130=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
78,
75,
41,
42
] | 55 | [
"78-75=3",
"42/3=14",
"41+14=55"
] | Current State: 55:[78, 75, 41, 42], Operations: []
Exploring Operation: 78-75=3, Resulting Numbers: [41, 42, 3]
Generated Node #2: [41, 42, 3] from Operation: 78-75=3
Current State: 55:[41, 42, 3], Operations: ['78-75=3']
Exploring Operation: 42/3=14, Resulting Numbers: [41, 14]
Generated Node #3: [41, 14] from Operation: 42/3=14
Current State: 55:[41, 14], Operations: ['78-75=3', '42/3=14']
Exploring Operation: 41+14=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
8,
23,
94,
16
] | 93 | [
"23-8=15",
"94-16=78",
"15+78=93"
] | Current State: 93:[8, 23, 94, 16], Operations: []
Exploring Operation: 23-8=15, Resulting Numbers: [94, 16, 15]
Generated Node #2: [94, 16, 15] from Operation: 23-8=15
Current State: 93:[94, 16, 15], Operations: ['23-8=15']
Exploring Operation: 94-16=78, Resulting Numbers: [15, 78]
Generated Node #3: [15, 78] from Operation: 94-16=78
Current State: 93:[15, 78], Operations: ['23-8=15', '94-16=78']
Exploring Operation: 15+78=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
42,
8,
84,
43
] | 94 | [
"84/42=2",
"43*2=86",
"8+86=94"
] | Current State: 94:[42, 8, 84, 43], Operations: []
Exploring Operation: 84/42=2, Resulting Numbers: [8, 43, 2]
Generated Node #2: [8, 43, 2] from Operation: 84/42=2
Current State: 94:[8, 43, 2], Operations: ['84/42=2']
Exploring Operation: 43*2=86, Resulting Numbers: [8, 86]
Generated Node #3: [8, 86] from Operation: 43*2=86
Current State: 94:[8, 86], Operations: ['84/42=2', '43*2=86']
Exploring Operation: 8+86=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
29,
43,
13,
6
] | 71 | [
"43-29=14",
"6*14=84",
"84-13=71"
] | Current State: 71:[29, 43, 13, 6], Operations: []
Exploring Operation: 43-29=14, Resulting Numbers: [13, 6, 14]
Generated Node #2: [13, 6, 14] from Operation: 43-29=14
Current State: 71:[13, 6, 14], Operations: ['43-29=14']
Exploring Operation: 6*14=84, Resulting Numbers: [13, 84]
Generated Node #3: [13, 84] from Operation: 6*14=84
Current State: 71:[13, 84], Operations: ['43-29=14', '6*14=84']
Exploring Operation: 84-13=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
8,
17,
90,
63
] | 72 | [
"90+63=153",
"8*153=1224",
"1224/17=72"
] | Current State: 72:[8, 17, 90, 63], Operations: []
Exploring Operation: 90+63=153, Resulting Numbers: [8, 17, 153]
Generated Node #2: [8, 17, 153] from Operation: 90+63=153
Current State: 72:[8, 17, 153], Operations: ['90+63=153']
Exploring Operation: 8*153=1224, Resulting Numbers: [17, 1224]
Generated Node #3: [17, 1224] from Operation: 8*153=1224
Current State: 72:[17, 1224], Operations: ['90+63=153', '8*153=1224']
Exploring Operation: 1224/17=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
53,
60,
7,
46
] | 32 | [
"60-53=7",
"46-7=39",
"39-7=32"
] | Current State: 32:[53, 60, 7, 46], Operations: []
Exploring Operation: 60-53=7, Resulting Numbers: [7, 46, 7]
Generated Node #2: [7, 46, 7] from Operation: 60-53=7
Current State: 32:[7, 46, 7], Operations: ['60-53=7']
Exploring Operation: 46-7=39, Resulting Numbers: [39]
39,32 equal: Goal Reached
Exploring Operation: 39-7=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
66,
37,
53,
69
] | 33 | [
"66*53=3498",
"37+69=106",
"3498/106=33"
] | Current State: 33:[66, 37, 53, 69], Operations: []
Exploring Operation: 66*53=3498, Resulting Numbers: [37, 69, 3498]
Generated Node #2: [37, 69, 3498] from Operation: 66*53=3498
Current State: 33:[37, 69, 3498], Operations: ['66*53=3498']
Exploring Operation: 37+69=106, Resulting Numbers: [3498, 106]
Generated Node #3: [3498, 106] from Operation: 37+69=106
Current State: 33:[3498, 106], Operations: ['66*53=3498', '37+69=106']
Exploring Operation: 3498/106=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
28,
92,
69,
20
] | 100 | [
"92-28=64",
"69-64=5",
"20*5=100"
] | Current State: 100:[28, 92, 69, 20], Operations: []
Exploring Operation: 92-28=64, Resulting Numbers: [69, 20, 64]
Generated Node #2: [69, 20, 64] from Operation: 92-28=64
Current State: 100:[69, 20, 64], Operations: ['92-28=64']
Exploring Operation: 69-64=5, Resulting Numbers: [20, 5]
Generated Node #3: [20, 5] from Operation: 69-64=5
Current State: 100:[20, 5], Operations: ['92-28=64', '69-64=5']
Exploring Operation: 20*5=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
15,
10,
29,
80
] | 52 | [
"15+29=44",
"80/10=8",
"44+8=52"
] | Current State: 52:[15, 10, 29, 80], Operations: []
Exploring Operation: 15+29=44, Resulting Numbers: [10, 80, 44]
Generated Node #2: [10, 80, 44] from Operation: 15+29=44
Current State: 52:[10, 80, 44], Operations: ['15+29=44']
Exploring Operation: 80/10=8, Resulting Numbers: [44, 8]
Generated Node #3: [44, 8] from Operation: 80/10=8
Current State: 52:[44, 8], Operations: ['15+29=44', '80/10=8']
Exploring Operation: 44+8=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
70,
87,
35,
14
] | 71 | [
"70/35=2",
"87-14=73",
"73-2=71"
] | Current State: 71:[70, 87, 35, 14], Operations: []
Exploring Operation: 70/35=2, Resulting Numbers: [87, 14, 2]
Generated Node #2: [87, 14, 2] from Operation: 70/35=2
Current State: 71:[87, 14, 2], Operations: ['70/35=2']
Exploring Operation: 87-14=73, Resulting Numbers: [2, 73]
Generated Node #3: [2, 73] from Operation: 87-14=73
Current State: 71:[2, 73], Operations: ['70/35=2', '87-14=73']
Exploring Operation: 73-2=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
6,
47,
1,
55
] | 54 | [
"47-1=46",
"55-46=9",
"6*9=54"
] | Current State: 54:[6, 47, 1, 55], Operations: []
Exploring Operation: 47-1=46, Resulting Numbers: [6, 55, 46]
Generated Node #2: [6, 55, 46] from Operation: 47-1=46
Current State: 54:[6, 55, 46], Operations: ['47-1=46']
Exploring Operation: 55-46=9, Resulting Numbers: [6, 9]
Generated Node #3: [6, 9] from Operation: 55-46=9
Current State: 54:[6, 9], Operations: ['47-1=46', '55-46=9']
Exploring Operation: 6*9=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
96,
5,
50,
35
] | 79 | [
"50+35=85",
"85/5=17",
"96-17=79"
] | Current State: 79:[96, 5, 50, 35], Operations: []
Exploring Operation: 50+35=85, Resulting Numbers: [96, 5, 85]
Generated Node #2: [96, 5, 85] from Operation: 50+35=85
Current State: 79:[96, 5, 85], Operations: ['50+35=85']
Exploring Operation: 85/5=17, Resulting Numbers: [96, 17]
Generated Node #3: [96, 17] from Operation: 85/5=17
Current State: 79:[96, 17], Operations: ['50+35=85', '85/5=17']
Exploring Operation: 96-17=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
16,
44,
66,
35
] | 73 | [
"44-16=28",
"66+35=101",
"101-28=73"
] | Current State: 73:[16, 44, 66, 35], Operations: []
Exploring Operation: 44-16=28, Resulting Numbers: [66, 35, 28]
Generated Node #2: [66, 35, 28] from Operation: 44-16=28
Current State: 73:[66, 35, 28], Operations: ['44-16=28']
Exploring Operation: 66+35=101, Resulting Numbers: [28, 101]
Generated Node #3: [28, 101] from Operation: 66+35=101
Current State: 73:[28, 101], Operations: ['44-16=28', '66+35=101']
Exploring Operation: 101-28=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
81,
16,
34,
27
] | 82 | [
"81*16=1296",
"1296/27=48",
"34+48=82"
] | Current State: 82:[81, 16, 34, 27], Operations: []
Exploring Operation: 81*16=1296, Resulting Numbers: [34, 27, 1296]
Generated Node #2: [34, 27, 1296] from Operation: 81*16=1296
Current State: 82:[34, 27, 1296], Operations: ['81*16=1296']
Exploring Operation: 1296/27=48, Resulting Numbers: [34, 48]
Generated Node #3: [34, 48] from Operation: 1296/27=48
Current State: 82:[34, 48], Operations: ['81*16=1296', '1296/27=48']
Exploring Operation: 34+48=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
7,
35,
80,
49
] | 96 | [
"49-7=42",
"80*42=3360",
"3360/35=96"
] | Current State: 96:[7, 35, 80, 49], Operations: []
Exploring Operation: 49-7=42, Resulting Numbers: [35, 80, 42]
Generated Node #2: [35, 80, 42] from Operation: 49-7=42
Current State: 96:[35, 80, 42], Operations: ['49-7=42']
Exploring Operation: 80*42=3360, Resulting Numbers: [35, 3360]
Generated Node #3: [35, 3360] from Operation: 80*42=3360
Current State: 96:[35, 3360], Operations: ['49-7=42', '80*42=3360']
Exploring Operation: 3360/35=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
14,
44,
79,
92
] | 45 | [
"14+44=58",
"92-79=13",
"58-13=45"
] | Current State: 45:[14, 44, 79, 92], Operations: []
Exploring Operation: 14+44=58, Resulting Numbers: [79, 92, 58]
Generated Node #2: [79, 92, 58] from Operation: 14+44=58
Current State: 45:[79, 92, 58], Operations: ['14+44=58']
Exploring Operation: 92-79=13, Resulting Numbers: [58, 13]
Generated Node #3: [58, 13] from Operation: 92-79=13
Current State: 45:[58, 13], Operations: ['14+44=58', '92-79=13']
Exploring Operation: 58-13=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
2,
83,
82,
32
] | 26 | [
"82+32=114",
"114/2=57",
"83-57=26"
] | Current State: 26:[2, 83, 82, 32], Operations: []
Exploring Operation: 82+32=114, Resulting Numbers: [2, 83, 114]
Generated Node #2: [2, 83, 114] from Operation: 82+32=114
Current State: 26:[2, 83, 114], Operations: ['82+32=114']
Exploring Operation: 114/2=57, Resulting Numbers: [83, 57]
Generated Node #3: [83, 57] from Operation: 114/2=57
Current State: 26:[83, 57], Operations: ['82+32=114', '114/2=57']
Exploring Operation: 83-57=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
62,
5,
64,
24
] | 72 | [
"62+5=67",
"67-64=3",
"24*3=72"
] | Current State: 72:[62, 5, 64, 24], Operations: []
Exploring Operation: 62+5=67, Resulting Numbers: [64, 24, 67]
Generated Node #2: [64, 24, 67] from Operation: 62+5=67
Current State: 72:[64, 24, 67], Operations: ['62+5=67']
Exploring Operation: 67-64=3, Resulting Numbers: [24, 3]
Generated Node #3: [24, 3] from Operation: 67-64=3
Current State: 72:[24, 3], Operations: ['62+5=67', '67-64=3']
Exploring Operation: 24*3=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
9,
9,
74,
23
] | 97 | [
"9-9=0",
"74+23=97",
"0+97=97"
] | Current State: 97:[9, 9, 74, 23], Operations: []
Exploring Operation: 9-9=0, Resulting Numbers: [74, 23, 0]
Generated Node #2: [74, 23, 0] from Operation: 9-9=0
Current State: 97:[74, 23, 0], Operations: ['9-9=0']
Exploring Operation: 74+23=97, Resulting Numbers: [0, 97]
Generated Node #3: [0, 97] from Operation: 74+23=97
Current State: 97:[0, 97], Operations: ['9-9=0', '74+23=97']
Exploring Operation: 0+97=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
96,
2,
45,
69
] | 70 | [
"96-2=94",
"69-45=24",
"94-24=70"
] | Current State: 70:[96, 2, 45, 69], Operations: []
Exploring Operation: 96-2=94, Resulting Numbers: [45, 69, 94]
Generated Node #2: [45, 69, 94] from Operation: 96-2=94
Current State: 70:[45, 69, 94], Operations: ['96-2=94']
Exploring Operation: 69-45=24, Resulting Numbers: [94, 24]
Generated Node #3: [94, 24] from Operation: 69-45=24
Current State: 70:[94, 24], Operations: ['96-2=94', '69-45=24']
Exploring Operation: 94-24=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
6,
75,
68,
63
] | 66 | [
"75-63=12",
"12/6=2",
"68-2=66"
] | Current State: 66:[6, 75, 68, 63], Operations: []
Exploring Operation: 75-63=12, Resulting Numbers: [6, 68, 12]
Generated Node #2: [6, 68, 12] from Operation: 75-63=12
Current State: 66:[6, 68, 12], Operations: ['75-63=12']
Exploring Operation: 12/6=2, Resulting Numbers: [68, 2]
Generated Node #3: [68, 2] from Operation: 12/6=2
Current State: 66:[68, 2], Operations: ['75-63=12', '12/6=2']
Exploring Operation: 68-2=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
17,
36,
53,
89
] | 38 | [
"17+89=106",
"106/53=2",
"36+2=38"
] | Current State: 38:[17, 36, 53, 89], Operations: []
Exploring Operation: 17+89=106, Resulting Numbers: [36, 53, 106]
Generated Node #2: [36, 53, 106] from Operation: 17+89=106
Current State: 38:[36, 53, 106], Operations: ['17+89=106']
Exploring Operation: 106/53=2, Resulting Numbers: [36, 2]
Generated Node #3: [36, 2] from Operation: 106/53=2
Current State: 38:[36, 2], Operations: ['17+89=106', '106/53=2']
Exploring Operation: 36+2=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
11,
10,
76,
12
] | 46 | [
"11*10=110",
"76-12=64",
"110-64=46"
] | Current State: 46:[11, 10, 76, 12], Operations: []
Exploring Operation: 11*10=110, Resulting Numbers: [76, 12, 110]
Generated Node #2: [76, 12, 110] from Operation: 11*10=110
Current State: 46:[76, 12, 110], Operations: ['11*10=110']
Exploring Operation: 76-12=64, Resulting Numbers: [110, 64]
Generated Node #3: [110, 64] from Operation: 76-12=64
Current State: 46:[110, 64], Operations: ['11*10=110', '76-12=64']
Exploring Operation: 110-64=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
8,
15,
18,
67
] | 35 | [
"8*15=120",
"18+67=85",
"120-85=35"
] | Current State: 35:[8, 15, 18, 67], Operations: []
Exploring Operation: 8*15=120, Resulting Numbers: [18, 67, 120]
Generated Node #2: [18, 67, 120] from Operation: 8*15=120
Current State: 35:[18, 67, 120], Operations: ['8*15=120']
Exploring Operation: 18+67=85, Resulting Numbers: [120, 85]
Generated Node #3: [120, 85] from Operation: 18+67=85
Current State: 35:[120, 85], Operations: ['8*15=120', '18+67=85']
Exploring Operation: 120-85=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
11,
7,
17,
13
] | 18 | [
"11*13=143",
"143-17=126",
"126/7=18"
] | Current State: 18:[11, 7, 17, 13], Operations: []
Exploring Operation: 11*13=143, Resulting Numbers: [7, 17, 143]
Generated Node #2: [7, 17, 143] from Operation: 11*13=143
Current State: 18:[7, 17, 143], Operations: ['11*13=143']
Exploring Operation: 143-17=126, Resulting Numbers: [7, 126]
Generated Node #3: [7, 126] from Operation: 143-17=126
Current State: 18:[7, 126], Operations: ['11*13=143', '143-17=126']
Exploring Operation: 126/7=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
66,
22,
66,
10
] | 32 | [
"66+22=88",
"66-10=56",
"88-56=32"
] | Current State: 32:[66, 22, 66, 10], Operations: []
Exploring Operation: 66+22=88, Resulting Numbers: [10, 88]
Generated Node #2: [10, 88] from Operation: 66+22=88
Current State: 32:[10, 88], Operations: ['66+22=88']
Exploring Operation: 66-10=56, Resulting Numbers: [88, 56]
Generated Node #3: [88, 56] from Operation: 66-10=56
Current State: 32:[88, 56], Operations: ['66+22=88', '66-10=56']
Exploring Operation: 88-56=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
81,
78,
2,
95
] | 10 | [
"81+95=176",
"176/2=88",
"88-78=10"
] | Current State: 10:[81, 78, 2, 95], Operations: []
Exploring Operation: 81+95=176, Resulting Numbers: [78, 2, 176]
Generated Node #2: [78, 2, 176] from Operation: 81+95=176
Current State: 10:[78, 2, 176], Operations: ['81+95=176']
Exploring Operation: 176/2=88, Resulting Numbers: [78, 88]
Generated Node #3: [78, 88] from Operation: 176/2=88
Current State: 10:[78, 88], Operations: ['81+95=176', '176/2=88']
Exploring Operation: 88-78=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
45,
14,
29,
43
] | 13 | [
"45+14=59",
"29+43=72",
"72-59=13"
] | Current State: 13:[45, 14, 29, 43], Operations: []
Exploring Operation: 45+14=59, Resulting Numbers: [29, 43, 59]
Generated Node #2: [29, 43, 59] from Operation: 45+14=59
Current State: 13:[29, 43, 59], Operations: ['45+14=59']
Exploring Operation: 29+43=72, Resulting Numbers: [59, 72]
Generated Node #3: [59, 72] from Operation: 29+43=72
Current State: 13:[59, 72], Operations: ['45+14=59', '29+43=72']
Exploring Operation: 72-59=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
2,
44,
38,
8
] | 66 | [
"2*8=16",
"44+38=82",
"82-16=66"
] | Current State: 66:[2, 44, 38, 8], Operations: []
Exploring Operation: 2*8=16, Resulting Numbers: [44, 38, 16]
Generated Node #2: [44, 38, 16] from Operation: 2*8=16
Current State: 66:[44, 38, 16], Operations: ['2*8=16']
Exploring Operation: 44+38=82, Resulting Numbers: [16, 82]
Generated Node #3: [16, 82] from Operation: 44+38=82
Current State: 66:[16, 82], Operations: ['2*8=16', '44+38=82']
Exploring Operation: 82-16=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
96,
28,
12,
23
] | 13 | [
"96/12=8",
"28-23=5",
"8+5=13"
] | Current State: 13:[96, 28, 12, 23], Operations: []
Exploring Operation: 96/12=8, Resulting Numbers: [28, 23, 8]
Generated Node #2: [28, 23, 8] from Operation: 96/12=8
Current State: 13:[28, 23, 8], Operations: ['96/12=8']
Exploring Operation: 28-23=5, Resulting Numbers: [8, 5]
Generated Node #3: [8, 5] from Operation: 28-23=5
Current State: 13:[8, 5], Operations: ['96/12=8', '28-23=5']
Exploring Operation: 8+5=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
44,
78,
31,
17
] | 82 | [
"78-44=34",
"31+17=48",
"34+48=82"
] | Current State: 82:[44, 78, 31, 17], Operations: []
Exploring Operation: 78-44=34, Resulting Numbers: [31, 17, 34]
Generated Node #2: [31, 17, 34] from Operation: 78-44=34
Current State: 82:[31, 17, 34], Operations: ['78-44=34']
Exploring Operation: 31+17=48, Resulting Numbers: [34, 48]
Generated Node #3: [34, 48] from Operation: 31+17=48
Current State: 82:[34, 48], Operations: ['78-44=34', '31+17=48']
Exploring Operation: 34+48=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
4,
65,
57,
37
] | 64 | [
"65-37=28",
"28/4=7",
"57+7=64"
] | Current State: 64:[4, 65, 57, 37], Operations: []
Exploring Operation: 65-37=28, Resulting Numbers: [4, 57, 28]
Generated Node #2: [4, 57, 28] from Operation: 65-37=28
Current State: 64:[4, 57, 28], Operations: ['65-37=28']
Exploring Operation: 28/4=7, Resulting Numbers: [57, 7]
Generated Node #3: [57, 7] from Operation: 28/4=7
Current State: 64:[57, 7], Operations: ['65-37=28', '28/4=7']
Exploring Operation: 57+7=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
3,
95,
22,
13
] | 83 | [
"95-3=92",
"22-13=9",
"92-9=83"
] | Current State: 83:[3, 95, 22, 13], Operations: []
Exploring Operation: 95-3=92, Resulting Numbers: [22, 13, 92]
Generated Node #2: [22, 13, 92] from Operation: 95-3=92
Current State: 83:[22, 13, 92], Operations: ['95-3=92']
Exploring Operation: 22-13=9, Resulting Numbers: [92, 9]
Generated Node #3: [92, 9] from Operation: 22-13=9
Current State: 83:[92, 9], Operations: ['95-3=92', '22-13=9']
Exploring Operation: 92-9=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
77,
79,
33,
43
] | 12 | [
"79-77=2",
"43-33=10",
"2+10=12"
] | Current State: 12:[77, 79, 33, 43], Operations: []
Exploring Operation: 79-77=2, Resulting Numbers: [33, 43, 2]
Generated Node #2: [33, 43, 2] from Operation: 79-77=2
Current State: 12:[33, 43, 2], Operations: ['79-77=2']
Exploring Operation: 43-33=10, Resulting Numbers: [2, 10]
Generated Node #3: [2, 10] from Operation: 43-33=10
Current State: 12:[2, 10], Operations: ['79-77=2', '43-33=10']
Exploring Operation: 2+10=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
46,
57,
45,
10
] | 92 | [
"57-45=12",
"12-10=2",
"46*2=92"
] | Current State: 92:[46, 57, 45, 10], Operations: []
Exploring Operation: 57-45=12, Resulting Numbers: [46, 10, 12]
Generated Node #2: [46, 10, 12] from Operation: 57-45=12
Current State: 92:[46, 10, 12], Operations: ['57-45=12']
Exploring Operation: 12-10=2, Resulting Numbers: [46, 2]
Generated Node #3: [46, 2] from Operation: 12-10=2
Current State: 92:[46, 2], Operations: ['57-45=12', '12-10=2']
Exploring Operation: 46*2=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
5,
3,
14,
22
] | 58 | [
"5-3=2",
"22*2=44",
"14+44=58"
] | Current State: 58:[5, 3, 14, 22], Operations: []
Exploring Operation: 5-3=2, Resulting Numbers: [14, 22, 2]
Generated Node #2: [14, 22, 2] from Operation: 5-3=2
Current State: 58:[14, 22, 2], Operations: ['5-3=2']
Exploring Operation: 22*2=44, Resulting Numbers: [14, 44]
Generated Node #3: [14, 44] from Operation: 22*2=44
Current State: 58:[14, 44], Operations: ['5-3=2', '22*2=44']
Exploring Operation: 14+44=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
4,
3,
2,
93
] | 37 | [
"4+2=6",
"93/3=31",
"6+31=37"
] | Current State: 37:[4, 3, 2, 93], Operations: []
Exploring Operation: 4+2=6, Resulting Numbers: [3, 93, 6]
Generated Node #2: [3, 93, 6] from Operation: 4+2=6
Current State: 37:[3, 93, 6], Operations: ['4+2=6']
Exploring Operation: 93/3=31, Resulting Numbers: [6, 31]
Generated Node #3: [6, 31] from Operation: 93/3=31
Current State: 37:[6, 31], Operations: ['4+2=6', '93/3=31']
Exploring Operation: 6+31=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
68,
60,
4,
84
] | 22 | [
"68+84=152",
"152/4=38",
"60-38=22"
] | Current State: 22:[68, 60, 4, 84], Operations: []
Exploring Operation: 68+84=152, Resulting Numbers: [60, 4, 152]
Generated Node #2: [60, 4, 152] from Operation: 68+84=152
Current State: 22:[60, 4, 152], Operations: ['68+84=152']
Exploring Operation: 152/4=38, Resulting Numbers: [60, 38]
Generated Node #3: [60, 38] from Operation: 152/4=38
Current State: 22:[60, 38], Operations: ['68+84=152', '152/4=38']
Exploring Operation: 60-38=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
38,
53,
59,
17
] | 57 | [
"53-38=15",
"59-17=42",
"15+42=57"
] | Current State: 57:[38, 53, 59, 17], Operations: []
Exploring Operation: 53-38=15, Resulting Numbers: [59, 17, 15]
Generated Node #2: [59, 17, 15] from Operation: 53-38=15
Current State: 57:[59, 17, 15], Operations: ['53-38=15']
Exploring Operation: 59-17=42, Resulting Numbers: [15, 42]
Generated Node #3: [15, 42] from Operation: 59-17=42
Current State: 57:[15, 42], Operations: ['53-38=15', '59-17=42']
Exploring Operation: 15+42=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
55,
59,
67,
19
] | 61 | [
"55+59=114",
"114/19=6",
"67-6=61"
] | Current State: 61:[55, 59, 67, 19], Operations: []
Exploring Operation: 55+59=114, Resulting Numbers: [67, 19, 114]
Generated Node #2: [67, 19, 114] from Operation: 55+59=114
Current State: 61:[67, 19, 114], Operations: ['55+59=114']
Exploring Operation: 114/19=6, Resulting Numbers: [67, 6]
Generated Node #3: [67, 6] from Operation: 114/19=6
Current State: 61:[67, 6], Operations: ['55+59=114', '114/19=6']
Exploring Operation: 67-6=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
3,
84,
6,
11
] | 50 | [
"6*11=66",
"84+66=150",
"150/3=50"
] | Current State: 50:[3, 84, 6, 11], Operations: []
Exploring Operation: 6*11=66, Resulting Numbers: [3, 84, 66]
Generated Node #2: [3, 84, 66] from Operation: 6*11=66
Current State: 50:[3, 84, 66], Operations: ['6*11=66']
Exploring Operation: 84+66=150, Resulting Numbers: [3, 150]
Generated Node #3: [3, 150] from Operation: 84+66=150
Current State: 50:[3, 150], Operations: ['6*11=66', '84+66=150']
Exploring Operation: 150/3=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
25,
78,
94,
48
] | 22 | [
"94-78=16",
"48/16=3",
"25-3=22"
] | Current State: 22:[25, 78, 94, 48], Operations: []
Exploring Operation: 94-78=16, Resulting Numbers: [25, 48, 16]
Generated Node #2: [25, 48, 16] from Operation: 94-78=16
Current State: 22:[25, 48, 16], Operations: ['94-78=16']
Exploring Operation: 48/16=3, Resulting Numbers: [25, 3]
Generated Node #3: [25, 3] from Operation: 48/16=3
Current State: 22:[25, 3], Operations: ['94-78=16', '48/16=3']
Exploring Operation: 25-3=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
59,
58,
70,
65
] | 18 | [
"59+58=117",
"70+65=135",
"135-117=18"
] | Current State: 18:[59, 58, 70, 65], Operations: []
Exploring Operation: 59+58=117, Resulting Numbers: [70, 65, 117]
Generated Node #2: [70, 65, 117] from Operation: 59+58=117
Current State: 18:[70, 65, 117], Operations: ['59+58=117']
Exploring Operation: 70+65=135, Resulting Numbers: [117, 135]
Generated Node #3: [117, 135] from Operation: 70+65=135
Current State: 18:[117, 135], Operations: ['59+58=117', '70+65=135']
Exploring Operation: 135-117=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
35,
87,
29,
15
] | 23 | [
"35-15=20",
"87/29=3",
"20+3=23"
] | Current State: 23:[35, 87, 29, 15], Operations: []
Exploring Operation: 35-15=20, Resulting Numbers: [87, 29, 20]
Generated Node #2: [87, 29, 20] from Operation: 35-15=20
Current State: 23:[87, 29, 20], Operations: ['35-15=20']
Exploring Operation: 87/29=3, Resulting Numbers: [20, 3]
Generated Node #3: [20, 3] from Operation: 87/29=3
Current State: 23:[20, 3], Operations: ['35-15=20', '87/29=3']
Exploring Operation: 20+3=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
58,
13,
9,
8
] | 40 | [
"58-13=45",
"45/9=5",
"8*5=40"
] | Current State: 40:[58, 13, 9, 8], Operations: []
Exploring Operation: 58-13=45, Resulting Numbers: [9, 8, 45]
Generated Node #2: [9, 8, 45] from Operation: 58-13=45
Current State: 40:[9, 8, 45], Operations: ['58-13=45']
Exploring Operation: 45/9=5, Resulting Numbers: [8, 5]
Generated Node #3: [8, 5] from Operation: 45/9=5
Current State: 40:[8, 5], Operations: ['58-13=45', '45/9=5']
Exploring Operation: 8*5=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
90,
28,
38,
40
] | 73 | [
"40-38=2",
"90/2=45",
"28+45=73"
] | Current State: 73:[90, 28, 38, 40], Operations: []
Exploring Operation: 40-38=2, Resulting Numbers: [90, 28, 2]
Generated Node #2: [90, 28, 2] from Operation: 40-38=2
Current State: 73:[90, 28, 2], Operations: ['40-38=2']
Exploring Operation: 90/2=45, Resulting Numbers: [28, 45]
Generated Node #3: [28, 45] from Operation: 90/2=45
Current State: 73:[28, 45], Operations: ['40-38=2', '90/2=45']
Exploring Operation: 28+45=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
50,
88,
46,
74
] | 71 | [
"50+88=138",
"138/46=3",
"74-3=71"
] | Current State: 71:[50, 88, 46, 74], Operations: []
Exploring Operation: 50+88=138, Resulting Numbers: [46, 74, 138]
Generated Node #2: [46, 74, 138] from Operation: 50+88=138
Current State: 71:[46, 74, 138], Operations: ['50+88=138']
Exploring Operation: 138/46=3, Resulting Numbers: [74, 3]
Generated Node #3: [74, 3] from Operation: 138/46=3
Current State: 71:[74, 3], Operations: ['50+88=138', '138/46=3']
Exploring Operation: 74-3=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
24,
1,
12,
97
] | 84 | [
"24+1=25",
"12+97=109",
"109-25=84"
] | Current State: 84:[24, 1, 12, 97], Operations: []
Exploring Operation: 24+1=25, Resulting Numbers: [12, 97, 25]
Generated Node #2: [12, 97, 25] from Operation: 24+1=25
Current State: 84:[12, 97, 25], Operations: ['24+1=25']
Exploring Operation: 12+97=109, Resulting Numbers: [25, 109]
Generated Node #3: [25, 109] from Operation: 12+97=109
Current State: 84:[25, 109], Operations: ['24+1=25', '12+97=109']
Exploring Operation: 109-25=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
54,
90,
71,
6
] | 95 | [
"54+90=144",
"144/6=24",
"71+24=95"
] | Current State: 95:[54, 90, 71, 6], Operations: []
Exploring Operation: 54+90=144, Resulting Numbers: [71, 6, 144]
Generated Node #2: [71, 6, 144] from Operation: 54+90=144
Current State: 95:[71, 6, 144], Operations: ['54+90=144']
Exploring Operation: 144/6=24, Resulting Numbers: [71, 24]
Generated Node #3: [71, 24] from Operation: 144/6=24
Current State: 95:[71, 24], Operations: ['54+90=144', '144/6=24']
Exploring Operation: 71+24=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
31,
27,
93,
64
] | 25 | [
"31-27=4",
"93-64=29",
"29-4=25"
] | Current State: 25:[31, 27, 93, 64], Operations: []
Exploring Operation: 31-27=4, Resulting Numbers: [93, 64, 4]
Generated Node #2: [93, 64, 4] from Operation: 31-27=4
Current State: 25:[93, 64, 4], Operations: ['31-27=4']
Exploring Operation: 93-64=29, Resulting Numbers: [4, 29]
Generated Node #3: [4, 29] from Operation: 93-64=29
Current State: 25:[4, 29], Operations: ['31-27=4', '93-64=29']
Exploring Operation: 29-4=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
14,
65,
43,
3
] | 97 | [
"65-14=51",
"43+3=46",
"51+46=97"
] | Current State: 97:[14, 65, 43, 3], Operations: []
Exploring Operation: 65-14=51, Resulting Numbers: [43, 3, 51]
Generated Node #2: [43, 3, 51] from Operation: 65-14=51
Current State: 97:[43, 3, 51], Operations: ['65-14=51']
Exploring Operation: 43+3=46, Resulting Numbers: [51, 46]
Generated Node #3: [51, 46] from Operation: 43+3=46
Current State: 97:[51, 46], Operations: ['65-14=51', '43+3=46']
Exploring Operation: 51+46=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
2,
60,
38,
79
] | 60 | [
"2*79=158",
"60+38=98",
"158-98=60"
] | Current State: 60:[2, 60, 38, 79], Operations: []
Exploring Operation: 2*79=158, Resulting Numbers: [60, 38, 158]
Generated Node #2: [60, 38, 158] from Operation: 2*79=158
Current State: 60:[60, 38, 158], Operations: ['2*79=158']
Exploring Operation: 60+38=98, Resulting Numbers: [158, 98]
Generated Node #3: [158, 98] from Operation: 60+38=98
Current State: 60:[158, 98], Operations: ['2*79=158', '60+38=98']
Exploring Operation: 158-98=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
28,
98,
11,
3
] | 93 | [
"28+98=126",
"11*3=33",
"126-33=93"
] | Current State: 93:[28, 98, 11, 3], Operations: []
Exploring Operation: 28+98=126, Resulting Numbers: [11, 3, 126]
Generated Node #2: [11, 3, 126] from Operation: 28+98=126
Current State: 93:[11, 3, 126], Operations: ['28+98=126']
Exploring Operation: 11*3=33, Resulting Numbers: [126, 33]
Generated Node #3: [126, 33] from Operation: 11*3=33
Current State: 93:[126, 33], Operations: ['28+98=126', '11*3=33']
Exploring Operation: 126-33=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
10,
16,
84,
7
] | 12 | [
"10-7=3",
"84/3=28",
"28-16=12"
] | Current State: 12:[10, 16, 84, 7], Operations: []
Exploring Operation: 10-7=3, Resulting Numbers: [16, 84, 3]
Generated Node #2: [16, 84, 3] from Operation: 10-7=3
Current State: 12:[16, 84, 3], Operations: ['10-7=3']
Exploring Operation: 84/3=28, Resulting Numbers: [16, 28]
Generated Node #3: [16, 28] from Operation: 84/3=28
Current State: 12:[16, 28], Operations: ['10-7=3', '84/3=28']
Exploring Operation: 28-16=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
76,
32,
86,
38
] | 11 | [
"76/38=2",
"86/2=43",
"43-32=11"
] | Current State: 11:[76, 32, 86, 38], Operations: []
Exploring Operation: 76/38=2, Resulting Numbers: [32, 86, 2]
Generated Node #2: [32, 86, 2] from Operation: 76/38=2
Current State: 11:[32, 86, 2], Operations: ['76/38=2']
Exploring Operation: 86/2=43, Resulting Numbers: [32, 43]
Generated Node #3: [32, 43] from Operation: 86/2=43
Current State: 11:[32, 43], Operations: ['76/38=2', '86/2=43']
Exploring Operation: 43-32=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
90,
46,
64,
85
] | 23 | [
"90-46=44",
"85-64=21",
"44-21=23"
] | Current State: 23:[90, 46, 64, 85], Operations: []
Exploring Operation: 90-46=44, Resulting Numbers: [64, 85, 44]
Generated Node #2: [64, 85, 44] from Operation: 90-46=44
Current State: 23:[64, 85, 44], Operations: ['90-46=44']
Exploring Operation: 85-64=21, Resulting Numbers: [44, 21]
Generated Node #3: [44, 21] from Operation: 85-64=21
Current State: 23:[44, 21], Operations: ['90-46=44', '85-64=21']
Exploring Operation: 44-21=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
8,
66,
84,
6
] | 30 | [
"8*6=48",
"84-66=18",
"48-18=30"
] | Current State: 30:[8, 66, 84, 6], Operations: []
Exploring Operation: 8*6=48, Resulting Numbers: [66, 84, 48]
Generated Node #2: [66, 84, 48] from Operation: 8*6=48
Current State: 30:[66, 84, 48], Operations: ['8*6=48']
Exploring Operation: 84-66=18, Resulting Numbers: [48, 18]
Generated Node #3: [48, 18] from Operation: 84-66=18
Current State: 30:[48, 18], Operations: ['8*6=48', '84-66=18']
Exploring Operation: 48-18=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
48,
4,
73,
25
] | 19 | [
"48-25=23",
"4*23=92",
"92-73=19"
] | Current State: 19:[48, 4, 73, 25], Operations: []
Exploring Operation: 48-25=23, Resulting Numbers: [4, 73, 23]
Generated Node #2: [4, 73, 23] from Operation: 48-25=23
Current State: 19:[4, 73, 23], Operations: ['48-25=23']
Exploring Operation: 4*23=92, Resulting Numbers: [73, 92]
Generated Node #3: [73, 92] from Operation: 4*23=92
Current State: 19:[73, 92], Operations: ['48-25=23', '4*23=92']
Exploring Operation: 92-73=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
52,
2,
78,
71
] | 12 | [
"52+78=130",
"2*71=142",
"142-130=12"
] | Current State: 12:[52, 2, 78, 71], Operations: []
Exploring Operation: 52+78=130, Resulting Numbers: [2, 71, 130]
Generated Node #2: [2, 71, 130] from Operation: 52+78=130
Current State: 12:[2, 71, 130], Operations: ['52+78=130']
Exploring Operation: 2*71=142, Resulting Numbers: [130, 142]
Generated Node #3: [130, 142] from Operation: 2*71=142
Current State: 12:[130, 142], Operations: ['52+78=130', '2*71=142']
Exploring Operation: 142-130=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
57,
18,
15,
63
] | 67 | [
"57+15=72",
"72/18=4",
"63+4=67"
] | Current State: 67:[57, 18, 15, 63], Operations: []
Exploring Operation: 57+15=72, Resulting Numbers: [18, 63, 72]
Generated Node #2: [18, 63, 72] from Operation: 57+15=72
Current State: 67:[18, 63, 72], Operations: ['57+15=72']
Exploring Operation: 72/18=4, Resulting Numbers: [63, 4]
Generated Node #3: [63, 4] from Operation: 72/18=4
Current State: 67:[63, 4], Operations: ['57+15=72', '72/18=4']
Exploring Operation: 63+4=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
42,
12,
48,
6
] | 53 | [
"42-12=30",
"30/6=5",
"48+5=53"
] | Current State: 53:[42, 12, 48, 6], Operations: []
Exploring Operation: 42-12=30, Resulting Numbers: [48, 6, 30]
Generated Node #2: [48, 6, 30] from Operation: 42-12=30
Current State: 53:[48, 6, 30], Operations: ['42-12=30']
Exploring Operation: 30/6=5, Resulting Numbers: [48, 5]
Generated Node #3: [48, 5] from Operation: 30/6=5
Current State: 53:[48, 5], Operations: ['42-12=30', '30/6=5']
Exploring Operation: 48+5=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
13,
16,
24,
35
] | 62 | [
"16-13=3",
"24+35=59",
"3+59=62"
] | Current State: 62:[13, 16, 24, 35], Operations: []
Exploring Operation: 16-13=3, Resulting Numbers: [24, 35, 3]
Generated Node #2: [24, 35, 3] from Operation: 16-13=3
Current State: 62:[24, 35, 3], Operations: ['16-13=3']
Exploring Operation: 24+35=59, Resulting Numbers: [3, 59]
Generated Node #3: [3, 59] from Operation: 24+35=59
Current State: 62:[3, 59], Operations: ['16-13=3', '24+35=59']
Exploring Operation: 3+59=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
33,
89,
9,
31
] | 49 | [
"33-31=2",
"89+9=98",
"98/2=49"
] | Current State: 49:[33, 89, 9, 31], Operations: []
Exploring Operation: 33-31=2, Resulting Numbers: [89, 9, 2]
Generated Node #2: [89, 9, 2] from Operation: 33-31=2
Current State: 49:[89, 9, 2], Operations: ['33-31=2']
Exploring Operation: 89+9=98, Resulting Numbers: [2, 98]
Generated Node #3: [2, 98] from Operation: 89+9=98
Current State: 49:[2, 98], Operations: ['33-31=2', '89+9=98']
Exploring Operation: 98/2=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
96,
37,
52,
59
] | 55 | [
"96+52=148",
"148/37=4",
"59-4=55"
] | Current State: 55:[96, 37, 52, 59], Operations: []
Exploring Operation: 96+52=148, Resulting Numbers: [37, 59, 148]
Generated Node #2: [37, 59, 148] from Operation: 96+52=148
Current State: 55:[37, 59, 148], Operations: ['96+52=148']
Exploring Operation: 148/37=4, Resulting Numbers: [59, 4]
Generated Node #3: [59, 4] from Operation: 148/37=4
Current State: 55:[59, 4], Operations: ['96+52=148', '148/37=4']
Exploring Operation: 59-4=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
58,
47,
15,
39
] | 81 | [
"58+47=105",
"39-15=24",
"105-24=81"
] | Current State: 81:[58, 47, 15, 39], Operations: []
Exploring Operation: 58+47=105, Resulting Numbers: [15, 39, 105]
Generated Node #2: [15, 39, 105] from Operation: 58+47=105
Current State: 81:[15, 39, 105], Operations: ['58+47=105']
Exploring Operation: 39-15=24, Resulting Numbers: [105, 24]
Generated Node #3: [105, 24] from Operation: 39-15=24
Current State: 81:[105, 24], Operations: ['58+47=105', '39-15=24']
Exploring Operation: 105-24=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
25,
90,
4,
18
] | 34 | [
"25+4=29",
"90/18=5",
"29+5=34"
] | Current State: 34:[25, 90, 4, 18], Operations: []
Exploring Operation: 25+4=29, Resulting Numbers: [90, 18, 29]
Generated Node #2: [90, 18, 29] from Operation: 25+4=29
Current State: 34:[90, 18, 29], Operations: ['25+4=29']
Exploring Operation: 90/18=5, Resulting Numbers: [29, 5]
Generated Node #3: [29, 5] from Operation: 90/18=5
Current State: 34:[29, 5], Operations: ['25+4=29', '90/18=5']
Exploring Operation: 29+5=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
24,
88,
50,
8
] | 15 | [
"24*50=1200",
"88-8=80",
"1200/80=15"
] | Current State: 15:[24, 88, 50, 8], Operations: []
Exploring Operation: 24*50=1200, Resulting Numbers: [88, 8, 1200]
Generated Node #2: [88, 8, 1200] from Operation: 24*50=1200
Current State: 15:[88, 8, 1200], Operations: ['24*50=1200']
Exploring Operation: 88-8=80, Resulting Numbers: [1200, 80]
Generated Node #3: [1200, 80] from Operation: 88-8=80
Current State: 15:[1200, 80], Operations: ['24*50=1200', '88-8=80']
Exploring Operation: 1200/80=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
90,
2,
44,
32
] | 72 | [
"90-32=58",
"2*58=116",
"116-44=72"
] | Current State: 72:[90, 2, 44, 32], Operations: []
Exploring Operation: 90-32=58, Resulting Numbers: [2, 44, 58]
Generated Node #2: [2, 44, 58] from Operation: 90-32=58
Current State: 72:[2, 44, 58], Operations: ['90-32=58']
Exploring Operation: 2*58=116, Resulting Numbers: [44, 116]
Generated Node #3: [44, 116] from Operation: 2*58=116
Current State: 72:[44, 116], Operations: ['90-32=58', '2*58=116']
Exploring Operation: 116-44=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
12,
40,
25,
9
] | 36 | [
"12+40=52",
"25-9=16",
"52-16=36"
] | Current State: 36:[12, 40, 25, 9], Operations: []
Exploring Operation: 12+40=52, Resulting Numbers: [25, 9, 52]
Generated Node #2: [25, 9, 52] from Operation: 12+40=52
Current State: 36:[25, 9, 52], Operations: ['12+40=52']
Exploring Operation: 25-9=16, Resulting Numbers: [52, 16]
Generated Node #3: [52, 16] from Operation: 25-9=16
Current State: 36:[52, 16], Operations: ['12+40=52', '25-9=16']
Exploring Operation: 52-16=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
54,
85,
42,
57
] | 81 | [
"54*42=2268",
"85-57=28",
"2268/28=81"
] | Current State: 81:[54, 85, 42, 57], Operations: []
Exploring Operation: 54*42=2268, Resulting Numbers: [85, 57, 2268]
Generated Node #2: [85, 57, 2268] from Operation: 54*42=2268
Current State: 81:[85, 57, 2268], Operations: ['54*42=2268']
Exploring Operation: 85-57=28, Resulting Numbers: [2268, 28]
Generated Node #3: [2268, 28] from Operation: 85-57=28
Current State: 81:[2268, 28], Operations: ['54*42=2268', '85-57=28']
Exploring Operation: 2268/28=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
32,
3,
30,
72
] | 66 | [
"32-30=2",
"3*2=6",
"72-6=66"
] | Current State: 66:[32, 3, 30, 72], Operations: []
Exploring Operation: 32-30=2, Resulting Numbers: [3, 72, 2]
Generated Node #2: [3, 72, 2] from Operation: 32-30=2
Current State: 66:[3, 72, 2], Operations: ['32-30=2']
Exploring Operation: 3*2=6, Resulting Numbers: [72, 6]
Generated Node #3: [72, 6] from Operation: 3*2=6
Current State: 66:[72, 6], Operations: ['32-30=2', '3*2=6']
Exploring Operation: 72-6=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
47,
63,
28,
43
] | 31 | [
"63-47=16",
"43-28=15",
"16+15=31"
] | Current State: 31:[47, 63, 28, 43], Operations: []
Exploring Operation: 63-47=16, Resulting Numbers: [28, 43, 16]
Generated Node #2: [28, 43, 16] from Operation: 63-47=16
Current State: 31:[28, 43, 16], Operations: ['63-47=16']
Exploring Operation: 43-28=15, Resulting Numbers: [16, 15]
Generated Node #3: [16, 15] from Operation: 43-28=15
Current State: 31:[16, 15], Operations: ['63-47=16', '43-28=15']
Exploring Operation: 16+15=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
97,
85,
12,
9
] | 16 | [
"97-85=12",
"12*12=144",
"144/9=16"
] | Current State: 16:[97, 85, 12, 9], Operations: []
Exploring Operation: 97-85=12, Resulting Numbers: [12, 9, 12]
Generated Node #2: [12, 9, 12] from Operation: 97-85=12
Current State: 16:[12, 9, 12], Operations: ['97-85=12']
Exploring Operation: 12*12=144, Resulting Numbers: [9, 144]
Generated Node #3: [9, 144] from Operation: 12*12=144
Current State: 16:[9, 144], Operations: ['97-85=12', '12*12=144']
Exploring Operation: 144/9=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
48,
65,
11,
85
] | 91 | [
"65-48=17",
"85-11=74",
"17+74=91"
] | Current State: 91:[48, 65, 11, 85], Operations: []
Exploring Operation: 65-48=17, Resulting Numbers: [11, 85, 17]
Generated Node #2: [11, 85, 17] from Operation: 65-48=17
Current State: 91:[11, 85, 17], Operations: ['65-48=17']
Exploring Operation: 85-11=74, Resulting Numbers: [17, 74]
Generated Node #3: [17, 74] from Operation: 85-11=74
Current State: 91:[17, 74], Operations: ['65-48=17', '85-11=74']
Exploring Operation: 17+74=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
75,
91,
99,
75
] | 40 | [
"91-75=16",
"99-75=24",
"16+24=40"
] | Current State: 40:[75, 91, 99, 75], Operations: []
Exploring Operation: 91-75=16, Resulting Numbers: [99, 16]
Generated Node #2: [99, 16] from Operation: 91-75=16
Current State: 40:[99, 16], Operations: ['91-75=16']
Exploring Operation: 99-75=24, Resulting Numbers: [16, 24]
Generated Node #3: [16, 24] from Operation: 99-75=24
Current State: 40:[16, 24], Operations: ['91-75=16', '99-75=24']
Exploring Operation: 16+24=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
21,
60,
16,
30
] | 18 | [
"21-16=5",
"60+30=90",
"90/5=18"
] | Current State: 18:[21, 60, 16, 30], Operations: []
Exploring Operation: 21-16=5, Resulting Numbers: [60, 30, 5]
Generated Node #2: [60, 30, 5] from Operation: 21-16=5
Current State: 18:[60, 30, 5], Operations: ['21-16=5']
Exploring Operation: 60+30=90, Resulting Numbers: [5, 90]
Generated Node #3: [5, 90] from Operation: 60+30=90
Current State: 18:[5, 90], Operations: ['21-16=5', '60+30=90']
Exploring Operation: 90/5=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
70,
92,
43,
73
] | 94 | [
"92-70=22",
"43+73=116",
"116-22=94"
] | Current State: 94:[70, 92, 43, 73], Operations: []
Exploring Operation: 92-70=22, Resulting Numbers: [43, 73, 22]
Generated Node #2: [43, 73, 22] from Operation: 92-70=22
Current State: 94:[43, 73, 22], Operations: ['92-70=22']
Exploring Operation: 43+73=116, Resulting Numbers: [22, 116]
Generated Node #3: [22, 116] from Operation: 43+73=116
Current State: 94:[22, 116], Operations: ['92-70=22', '43+73=116']
Exploring Operation: 116-22=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
29,
12,
14,
3
] | 35 | [
"14-12=2",
"3*2=6",
"29+6=35"
] | Current State: 35:[29, 12, 14, 3], Operations: []
Exploring Operation: 14-12=2, Resulting Numbers: [29, 3, 2]
Generated Node #2: [29, 3, 2] from Operation: 14-12=2
Current State: 35:[29, 3, 2], Operations: ['14-12=2']
Exploring Operation: 3*2=6, Resulting Numbers: [29, 6]
Generated Node #3: [29, 6] from Operation: 3*2=6
Current State: 35:[29, 6], Operations: ['14-12=2', '3*2=6']
Exploring Operation: 29+6=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
7,
35,
16,
89
] | 58 | [
"7*16=112",
"89-35=54",
"112-54=58"
] | Current State: 58:[7, 35, 16, 89], Operations: []
Exploring Operation: 7*16=112, Resulting Numbers: [35, 89, 112]
Generated Node #2: [35, 89, 112] from Operation: 7*16=112
Current State: 58:[35, 89, 112], Operations: ['7*16=112']
Exploring Operation: 89-35=54, Resulting Numbers: [112, 54]
Generated Node #3: [112, 54] from Operation: 89-35=54
Current State: 58:[112, 54], Operations: ['7*16=112', '89-35=54']
Exploring Operation: 112-54=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
33,
93,
23,
83
] | 100 | [
"33-23=10",
"93-83=10",
"10*10=100"
] | Current State: 100:[33, 93, 23, 83], Operations: []
Exploring Operation: 33-23=10, Resulting Numbers: [93, 83, 10]
Generated Node #2: [93, 83, 10] from Operation: 33-23=10
Current State: 100:[93, 83, 10], Operations: ['33-23=10']
Exploring Operation: 93-83=10, Resulting Numbers: [10, 10]
Generated Node #3: [10, 10] from Operation: 93-83=10
Current State: 100:[10, 10], Operations: ['33-23=10', '93-83=10']
Exploring Operation: 10*10=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
88,
15,
4,
73
] | 44 | [
"88+15=103",
"73+103=176",
"176/4=44"
] | Current State: 44:[88, 15, 4, 73], Operations: []
Exploring Operation: 88+15=103, Resulting Numbers: [4, 73, 103]
Generated Node #2: [4, 73, 103] from Operation: 88+15=103
Current State: 44:[4, 73, 103], Operations: ['88+15=103']
Exploring Operation: 73+103=176, Resulting Numbers: [4, 176]
Generated Node #3: [4, 176] from Operation: 73+103=176
Current State: 44:[4, 176], Operations: ['88+15=103', '73+103=176']
Exploring Operation: 176/4=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
36,
70,
30,
50
] | 23 | [
"36*30=1080",
"70+1080=1150",
"1150/50=23"
] | Current State: 23:[36, 70, 30, 50], Operations: []
Exploring Operation: 36*30=1080, Resulting Numbers: [70, 50, 1080]
Generated Node #2: [70, 50, 1080] from Operation: 36*30=1080
Current State: 23:[70, 50, 1080], Operations: ['36*30=1080']
Exploring Operation: 70+1080=1150, Resulting Numbers: [50, 1150]
Generated Node #3: [50, 1150] from Operation: 70+1080=1150
Current State: 23:[50, 1150], Operations: ['36*30=1080', '70+1080=1150']
Exploring Operation: 1150/50=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
7,
90,
3,
13
] | 87 | [
"7+90=97",
"13-3=10",
"97-10=87"
] | Current State: 87:[7, 90, 3, 13], Operations: []
Exploring Operation: 7+90=97, Resulting Numbers: [3, 13, 97]
Generated Node #2: [3, 13, 97] from Operation: 7+90=97
Current State: 87:[3, 13, 97], Operations: ['7+90=97']
Exploring Operation: 13-3=10, Resulting Numbers: [97, 10]
Generated Node #3: [97, 10] from Operation: 13-3=10
Current State: 87:[97, 10], Operations: ['7+90=97', '13-3=10']
Exploring Operation: 97-10=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
41,
4,
44,
27
] | 15 | [
"44-41=3",
"4*3=12",
"27-12=15"
] | Current State: 15:[41, 4, 44, 27], Operations: []
Exploring Operation: 44-41=3, Resulting Numbers: [4, 27, 3]
Generated Node #2: [4, 27, 3] from Operation: 44-41=3
Current State: 15:[4, 27, 3], Operations: ['44-41=3']
Exploring Operation: 4*3=12, Resulting Numbers: [27, 12]
Generated Node #3: [27, 12] from Operation: 4*3=12
Current State: 15:[27, 12], Operations: ['44-41=3', '4*3=12']
Exploring Operation: 27-12=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
19,
71,
60,
3
] | 27 | [
"19+71=90",
"60+3=63",
"90-63=27"
] | Current State: 27:[19, 71, 60, 3], Operations: []
Exploring Operation: 19+71=90, Resulting Numbers: [60, 3, 90]
Generated Node #2: [60, 3, 90] from Operation: 19+71=90
Current State: 27:[60, 3, 90], Operations: ['19+71=90']
Exploring Operation: 60+3=63, Resulting Numbers: [90, 63]
Generated Node #3: [90, 63] from Operation: 60+3=63
Current State: 27:[90, 63], Operations: ['19+71=90', '60+3=63']
Exploring Operation: 90-63=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
75,
33,
86,
41
] | 63 | [
"75+33=108",
"86-41=45",
"108-45=63"
] | Current State: 63:[75, 33, 86, 41], Operations: []
Exploring Operation: 75+33=108, Resulting Numbers: [86, 41, 108]
Generated Node #2: [86, 41, 108] from Operation: 75+33=108
Current State: 63:[86, 41, 108], Operations: ['75+33=108']
Exploring Operation: 86-41=45, Resulting Numbers: [108, 45]
Generated Node #3: [108, 45] from Operation: 86-41=45
Current State: 63:[108, 45], Operations: ['75+33=108', '86-41=45']
Exploring Operation: 108-45=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
25,
47,
92,
74
] | 54 | [
"25+47=72",
"92-74=18",
"72-18=54"
] | Current State: 54:[25, 47, 92, 74], Operations: []
Exploring Operation: 25+47=72, Resulting Numbers: [92, 74, 72]
Generated Node #2: [92, 74, 72] from Operation: 25+47=72
Current State: 54:[92, 74, 72], Operations: ['25+47=72']
Exploring Operation: 92-74=18, Resulting Numbers: [72, 18]
Generated Node #3: [72, 18] from Operation: 92-74=18
Current State: 54:[72, 18], Operations: ['25+47=72', '92-74=18']
Exploring Operation: 72-18=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
36,
37,
36,
55
] | 54 | [
"36+37=73",
"55-36=19",
"73-19=54"
] | Current State: 54:[36, 37, 36, 55], Operations: []
Exploring Operation: 36+37=73, Resulting Numbers: [55, 73]
Generated Node #2: [55, 73] from Operation: 36+37=73
Current State: 54:[55, 73], Operations: ['36+37=73']
Exploring Operation: 55-36=19, Resulting Numbers: [73, 19]
Generated Node #3: [73, 19] from Operation: 55-36=19
Current State: 54:[73, 19], Operations: ['36+37=73', '55-36=19']
Exploring Operation: 73-19=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
48,
84,
66,
34
] | 17 | [
"48+84=132",
"66*34=2244",
"2244/132=17"
] | Current State: 17:[48, 84, 66, 34], Operations: []
Exploring Operation: 48+84=132, Resulting Numbers: [66, 34, 132]
Generated Node #2: [66, 34, 132] from Operation: 48+84=132
Current State: 17:[66, 34, 132], Operations: ['48+84=132']
Exploring Operation: 66*34=2244, Resulting Numbers: [132, 2244]
Generated Node #3: [132, 2244] from Operation: 66*34=2244
Current State: 17:[132, 2244], Operations: ['48+84=132', '66*34=2244']
Exploring Operation: 2244/132=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
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