nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
91,
69,
18,
18
] | 69 | [
"18-18=0",
"91*0=0",
"69+0=69"
] | Current State: 69:[91, 69, 18, 18], Operations: []
Exploring Operation: 18-18=0, Resulting Numbers: [91, 69, 0]
Generated Node #2: [91, 69, 0] from Operation: 18-18=0
Current State: 69:[91, 69, 0], Operations: ['18-18=0']
Exploring Operation: 91*0=0, Resulting Numbers: [69, 0]
Generated Node #3: [69, 0] from Operation: 91*0=0
Current State: 69:[69, 0], Operations: ['18-18=0', '91*0=0']
Exploring Operation: 69+0=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
60,
24,
76,
40
] | 32 | [
"60+24=84",
"76+40=116",
"116-84=32"
] | Current State: 32:[60, 24, 76, 40], Operations: []
Exploring Operation: 60+24=84, Resulting Numbers: [76, 40, 84]
Generated Node #2: [76, 40, 84] from Operation: 60+24=84
Current State: 32:[76, 40, 84], Operations: ['60+24=84']
Exploring Operation: 76+40=116, Resulting Numbers: [84, 116]
Generated Node #3: [84, 116] from Operation: 76+40=116
Current State: 32:[84, 116], Operations: ['60+24=84', '76+40=116']
Exploring Operation: 116-84=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
4,
34,
11,
82
] | 43 | [
"4*34=136",
"11+82=93",
"136-93=43"
] | Current State: 43:[4, 34, 11, 82], Operations: []
Exploring Operation: 4*34=136, Resulting Numbers: [11, 82, 136]
Generated Node #2: [11, 82, 136] from Operation: 4*34=136
Current State: 43:[11, 82, 136], Operations: ['4*34=136']
Exploring Operation: 11+82=93, Resulting Numbers: [136, 93]
Generated Node #3: [136, 93] from Operation: 11+82=93
Current State: 43:[136, 93], Operations: ['4*34=136', '11+82=93']
Exploring Operation: 136-93=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
70,
71,
50,
61
] | 30 | [
"70+71=141",
"50+61=111",
"141-111=30"
] | Current State: 30:[70, 71, 50, 61], Operations: []
Exploring Operation: 70+71=141, Resulting Numbers: [50, 61, 141]
Generated Node #2: [50, 61, 141] from Operation: 70+71=141
Current State: 30:[50, 61, 141], Operations: ['70+71=141']
Exploring Operation: 50+61=111, Resulting Numbers: [141, 111]
Generated Node #3: [141, 111] from Operation: 50+61=111
Current State: 30:[141, 111], Operations: ['70+71=141', '50+61=111']
Exploring Operation: 141-111=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
24,
16,
61,
24
] | 76 | [
"24/24=1",
"16+61=77",
"77-1=76"
] | Current State: 76:[24, 16, 61, 24], Operations: []
Exploring Operation: 24/24=1, Resulting Numbers: [16, 61, 1]
Generated Node #2: [16, 61, 1] from Operation: 24/24=1
Current State: 76:[16, 61, 1], Operations: ['24/24=1']
Exploring Operation: 16+61=77, Resulting Numbers: [1, 77]
Generated Node #3: [1, 77] from Operation: 16+61=77
Current State: 76:[1, 77], Operations: ['24/24=1', '16+61=77']
Exploring Operation: 77-1=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
31,
56,
4,
2
] | 77 | [
"31+4=35",
"56*2=112",
"112-35=77"
] | Current State: 77:[31, 56, 4, 2], Operations: []
Exploring Operation: 31+4=35, Resulting Numbers: [56, 2, 35]
Generated Node #2: [56, 2, 35] from Operation: 31+4=35
Current State: 77:[56, 2, 35], Operations: ['31+4=35']
Exploring Operation: 56*2=112, Resulting Numbers: [35, 112]
Generated Node #3: [35, 112] from Operation: 56*2=112
Current State: 77:[35, 112], Operations: ['31+4=35', '56*2=112']
Exploring Operation: 112-35=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
14,
70,
13,
12
] | 83 | [
"14+70=84",
"13-12=1",
"84-1=83"
] | Current State: 83:[14, 70, 13, 12], Operations: []
Exploring Operation: 14+70=84, Resulting Numbers: [13, 12, 84]
Generated Node #2: [13, 12, 84] from Operation: 14+70=84
Current State: 83:[13, 12, 84], Operations: ['14+70=84']
Exploring Operation: 13-12=1, Resulting Numbers: [84, 1]
Generated Node #3: [84, 1] from Operation: 13-12=1
Current State: 83:[84, 1], Operations: ['14+70=84', '13-12=1']
Exploring Operation: 84-1=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
2,
33,
52,
33
] | 53 | [
"2+52=54",
"33/33=1",
"54-1=53"
] | Current State: 53:[2, 33, 52, 33], Operations: []
Exploring Operation: 2+52=54, Resulting Numbers: [33, 33, 54]
Generated Node #2: [33, 33, 54] from Operation: 2+52=54
Current State: 53:[33, 33, 54], Operations: ['2+52=54']
Exploring Operation: 33/33=1, Resulting Numbers: [54, 1]
Generated Node #3: [54, 1] from Operation: 33/33=1
Current State: 53:[54, 1], Operations: ['2+52=54', '33/33=1']
Exploring Operation: 54-1=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
26,
77,
52,
64
] | 26 | [
"52/26=2",
"77-64=13",
"2*13=26"
] | Current State: 26:[26, 77, 52, 64], Operations: []
Exploring Operation: 52/26=2, Resulting Numbers: [77, 64, 2]
Generated Node #2: [77, 64, 2] from Operation: 52/26=2
Current State: 26:[77, 64, 2], Operations: ['52/26=2']
Exploring Operation: 77-64=13, Resulting Numbers: [2, 13]
Generated Node #3: [2, 13] from Operation: 77-64=13
Current State: 26:[2, 13], Operations: ['52/26=2', '77-64=13']
Exploring Operation: 2*13=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
78,
93,
45,
19
] | 90 | [
"45-19=26",
"78/26=3",
"93-3=90"
] | Current State: 90:[78, 93, 45, 19], Operations: []
Exploring Operation: 45-19=26, Resulting Numbers: [78, 93, 26]
Generated Node #2: [78, 93, 26] from Operation: 45-19=26
Current State: 90:[78, 93, 26], Operations: ['45-19=26']
Exploring Operation: 78/26=3, Resulting Numbers: [93, 3]
Generated Node #3: [93, 3] from Operation: 78/26=3
Current State: 90:[93, 3], Operations: ['45-19=26', '78/26=3']
Exploring Operation: 93-3=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
16,
80,
64,
18
] | 50 | [
"16+80=96",
"64-18=46",
"96-46=50"
] | Current State: 50:[16, 80, 64, 18], Operations: []
Exploring Operation: 16+80=96, Resulting Numbers: [64, 18, 96]
Generated Node #2: [64, 18, 96] from Operation: 16+80=96
Current State: 50:[64, 18, 96], Operations: ['16+80=96']
Exploring Operation: 64-18=46, Resulting Numbers: [96, 46]
Generated Node #3: [96, 46] from Operation: 64-18=46
Current State: 50:[96, 46], Operations: ['16+80=96', '64-18=46']
Exploring Operation: 96-46=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
99,
9,
81,
49
] | 60 | [
"99*9=891",
"891/81=11",
"49+11=60"
] | Current State: 60:[99, 9, 81, 49], Operations: []
Exploring Operation: 99*9=891, Resulting Numbers: [81, 49, 891]
Generated Node #2: [81, 49, 891] from Operation: 99*9=891
Current State: 60:[81, 49, 891], Operations: ['99*9=891']
Exploring Operation: 891/81=11, Resulting Numbers: [49, 11]
Generated Node #3: [49, 11] from Operation: 891/81=11
Current State: 60:[49, 11], Operations: ['99*9=891', '891/81=11']
Exploring Operation: 49+11=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
2,
64,
71,
41
] | 46 | [
"2+64=66",
"71+41=112",
"112-66=46"
] | Current State: 46:[2, 64, 71, 41], Operations: []
Exploring Operation: 2+64=66, Resulting Numbers: [71, 41, 66]
Generated Node #2: [71, 41, 66] from Operation: 2+64=66
Current State: 46:[71, 41, 66], Operations: ['2+64=66']
Exploring Operation: 71+41=112, Resulting Numbers: [66, 112]
Generated Node #3: [66, 112] from Operation: 71+41=112
Current State: 46:[66, 112], Operations: ['2+64=66', '71+41=112']
Exploring Operation: 112-66=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
71,
50,
21,
29
] | 25 | [
"71-29=42",
"50*21=1050",
"1050/42=25"
] | Current State: 25:[71, 50, 21, 29], Operations: []
Exploring Operation: 71-29=42, Resulting Numbers: [50, 21, 42]
Generated Node #2: [50, 21, 42] from Operation: 71-29=42
Current State: 25:[50, 21, 42], Operations: ['71-29=42']
Exploring Operation: 50*21=1050, Resulting Numbers: [42, 1050]
Generated Node #3: [42, 1050] from Operation: 50*21=1050
Current State: 25:[42, 1050], Operations: ['71-29=42', '50*21=1050']
Exploring Operation: 1050/42=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
16,
50,
8,
57
] | 15 | [
"50-16=34",
"57-8=49",
"49-34=15"
] | Current State: 15:[16, 50, 8, 57], Operations: []
Exploring Operation: 50-16=34, Resulting Numbers: [8, 57, 34]
Generated Node #2: [8, 57, 34] from Operation: 50-16=34
Current State: 15:[8, 57, 34], Operations: ['50-16=34']
Exploring Operation: 57-8=49, Resulting Numbers: [34, 49]
Generated Node #3: [34, 49] from Operation: 57-8=49
Current State: 15:[34, 49], Operations: ['50-16=34', '57-8=49']
Exploring Operation: 49-34=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
38,
48,
29,
81
] | 34 | [
"38+48=86",
"81-29=52",
"86-52=34"
] | Current State: 34:[38, 48, 29, 81], Operations: []
Exploring Operation: 38+48=86, Resulting Numbers: [29, 81, 86]
Generated Node #2: [29, 81, 86] from Operation: 38+48=86
Current State: 34:[29, 81, 86], Operations: ['38+48=86']
Exploring Operation: 81-29=52, Resulting Numbers: [86, 52]
Generated Node #3: [86, 52] from Operation: 81-29=52
Current State: 34:[86, 52], Operations: ['38+48=86', '81-29=52']
Exploring Operation: 86-52=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
99,
8,
66,
79
] | 14 | [
"99-66=33",
"79+33=112",
"112/8=14"
] | Current State: 14:[99, 8, 66, 79], Operations: []
Exploring Operation: 99-66=33, Resulting Numbers: [8, 79, 33]
Generated Node #2: [8, 79, 33] from Operation: 99-66=33
Current State: 14:[8, 79, 33], Operations: ['99-66=33']
Exploring Operation: 79+33=112, Resulting Numbers: [8, 112]
Generated Node #3: [8, 112] from Operation: 79+33=112
Current State: 14:[8, 112], Operations: ['99-66=33', '79+33=112']
Exploring Operation: 112/8=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
55,
85,
3,
67
] | 89 | [
"67-55=12",
"12/3=4",
"85+4=89"
] | Current State: 89:[55, 85, 3, 67], Operations: []
Exploring Operation: 67-55=12, Resulting Numbers: [85, 3, 12]
Generated Node #2: [85, 3, 12] from Operation: 67-55=12
Current State: 89:[85, 3, 12], Operations: ['67-55=12']
Exploring Operation: 12/3=4, Resulting Numbers: [85, 4]
Generated Node #3: [85, 4] from Operation: 12/3=4
Current State: 89:[85, 4], Operations: ['67-55=12', '12/3=4']
Exploring Operation: 85+4=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
49,
22,
27,
52
] | 51 | [
"49-22=27",
"27/27=1",
"52-1=51"
] | Current State: 51:[49, 22, 27, 52], Operations: []
Exploring Operation: 49-22=27, Resulting Numbers: [27, 52, 27]
Generated Node #2: [27, 52, 27] from Operation: 49-22=27
Current State: 51:[27, 52, 27], Operations: ['49-22=27']
Exploring Operation: 27/27=1, Resulting Numbers: [52, 1]
Generated Node #3: [52, 1] from Operation: 27/27=1
Current State: 51:[52, 1], Operations: ['49-22=27', '27/27=1']
Exploring Operation: 52-1=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
94,
96,
17,
24
] | 73 | [
"94-17=77",
"96/24=4",
"77-4=73"
] | Current State: 73:[94, 96, 17, 24], Operations: []
Exploring Operation: 94-17=77, Resulting Numbers: [96, 24, 77]
Generated Node #2: [96, 24, 77] from Operation: 94-17=77
Current State: 73:[96, 24, 77], Operations: ['94-17=77']
Exploring Operation: 96/24=4, Resulting Numbers: [77, 4]
Generated Node #3: [77, 4] from Operation: 96/24=4
Current State: 73:[77, 4], Operations: ['94-17=77', '96/24=4']
Exploring Operation: 77-4=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
39,
2,
97,
56
] | 24 | [
"39+97=136",
"2*56=112",
"136-112=24"
] | Current State: 24:[39, 2, 97, 56], Operations: []
Exploring Operation: 39+97=136, Resulting Numbers: [2, 56, 136]
Generated Node #2: [2, 56, 136] from Operation: 39+97=136
Current State: 24:[2, 56, 136], Operations: ['39+97=136']
Exploring Operation: 2*56=112, Resulting Numbers: [136, 112]
Generated Node #3: [136, 112] from Operation: 2*56=112
Current State: 24:[136, 112], Operations: ['39+97=136', '2*56=112']
Exploring Operation: 136-112=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
98,
51,
95,
59
] | 94 | [
"98-95=3",
"51*3=153",
"153-59=94"
] | Current State: 94:[98, 51, 95, 59], Operations: []
Exploring Operation: 98-95=3, Resulting Numbers: [51, 59, 3]
Generated Node #2: [51, 59, 3] from Operation: 98-95=3
Current State: 94:[51, 59, 3], Operations: ['98-95=3']
Exploring Operation: 51*3=153, Resulting Numbers: [59, 153]
Generated Node #3: [59, 153] from Operation: 51*3=153
Current State: 94:[59, 153], Operations: ['98-95=3', '51*3=153']
Exploring Operation: 153-59=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
98,
6,
29,
83
] | 38 | [
"98-6=92",
"83-29=54",
"92-54=38"
] | Current State: 38:[98, 6, 29, 83], Operations: []
Exploring Operation: 98-6=92, Resulting Numbers: [29, 83, 92]
Generated Node #2: [29, 83, 92] from Operation: 98-6=92
Current State: 38:[29, 83, 92], Operations: ['98-6=92']
Exploring Operation: 83-29=54, Resulting Numbers: [92, 54]
Generated Node #3: [92, 54] from Operation: 83-29=54
Current State: 38:[92, 54], Operations: ['98-6=92', '83-29=54']
Exploring Operation: 92-54=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
81,
78,
27,
39
] | 63 | [
"81-78=3",
"27+39=66",
"66-3=63"
] | Current State: 63:[81, 78, 27, 39], Operations: []
Exploring Operation: 81-78=3, Resulting Numbers: [27, 39, 3]
Generated Node #2: [27, 39, 3] from Operation: 81-78=3
Current State: 63:[27, 39, 3], Operations: ['81-78=3']
Exploring Operation: 27+39=66, Resulting Numbers: [3, 66]
Generated Node #3: [3, 66] from Operation: 27+39=66
Current State: 63:[3, 66], Operations: ['81-78=3', '27+39=66']
Exploring Operation: 66-3=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
99,
97,
73,
95
] | 24 | [
"99-97=2",
"95-73=22",
"2+22=24"
] | Current State: 24:[99, 97, 73, 95], Operations: []
Exploring Operation: 99-97=2, Resulting Numbers: [73, 95, 2]
Generated Node #2: [73, 95, 2] from Operation: 99-97=2
Current State: 24:[73, 95, 2], Operations: ['99-97=2']
Exploring Operation: 95-73=22, Resulting Numbers: [2, 22]
Generated Node #3: [2, 22] from Operation: 95-73=22
Current State: 24:[2, 22], Operations: ['99-97=2', '95-73=22']
Exploring Operation: 2+22=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
61,
24,
51,
48
] | 69 | [
"51-48=3",
"24/3=8",
"61+8=69"
] | Current State: 69:[61, 24, 51, 48], Operations: []
Exploring Operation: 51-48=3, Resulting Numbers: [61, 24, 3]
Generated Node #2: [61, 24, 3] from Operation: 51-48=3
Current State: 69:[61, 24, 3], Operations: ['51-48=3']
Exploring Operation: 24/3=8, Resulting Numbers: [61, 8]
Generated Node #3: [61, 8] from Operation: 24/3=8
Current State: 69:[61, 8], Operations: ['51-48=3', '24/3=8']
Exploring Operation: 61+8=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
34,
28,
20,
31
] | 82 | [
"31-28=3",
"34*3=102",
"102-20=82"
] | Current State: 82:[34, 28, 20, 31], Operations: []
Exploring Operation: 31-28=3, Resulting Numbers: [34, 20, 3]
Generated Node #2: [34, 20, 3] from Operation: 31-28=3
Current State: 82:[34, 20, 3], Operations: ['31-28=3']
Exploring Operation: 34*3=102, Resulting Numbers: [20, 102]
Generated Node #3: [20, 102] from Operation: 34*3=102
Current State: 82:[20, 102], Operations: ['31-28=3', '34*3=102']
Exploring Operation: 102-20=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
5,
60,
55,
51
] | 69 | [
"5+60=65",
"55-51=4",
"65+4=69"
] | Current State: 69:[5, 60, 55, 51], Operations: []
Exploring Operation: 5+60=65, Resulting Numbers: [55, 51, 65]
Generated Node #2: [55, 51, 65] from Operation: 5+60=65
Current State: 69:[55, 51, 65], Operations: ['5+60=65']
Exploring Operation: 55-51=4, Resulting Numbers: [65, 4]
Generated Node #3: [65, 4] from Operation: 55-51=4
Current State: 69:[65, 4], Operations: ['5+60=65', '55-51=4']
Exploring Operation: 65+4=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
6,
46,
65,
62
] | 47 | [
"46+62=108",
"108/6=18",
"65-18=47"
] | Current State: 47:[6, 46, 65, 62], Operations: []
Exploring Operation: 46+62=108, Resulting Numbers: [6, 65, 108]
Generated Node #2: [6, 65, 108] from Operation: 46+62=108
Current State: 47:[6, 65, 108], Operations: ['46+62=108']
Exploring Operation: 108/6=18, Resulting Numbers: [65, 18]
Generated Node #3: [65, 18] from Operation: 108/6=18
Current State: 47:[65, 18], Operations: ['46+62=108', '108/6=18']
Exploring Operation: 65-18=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
42,
59,
19,
67
] | 31 | [
"59-42=17",
"67-19=48",
"48-17=31"
] | Current State: 31:[42, 59, 19, 67], Operations: []
Exploring Operation: 59-42=17, Resulting Numbers: [19, 67, 17]
Generated Node #2: [19, 67, 17] from Operation: 59-42=17
Current State: 31:[19, 67, 17], Operations: ['59-42=17']
Exploring Operation: 67-19=48, Resulting Numbers: [17, 48]
Generated Node #3: [17, 48] from Operation: 67-19=48
Current State: 31:[17, 48], Operations: ['59-42=17', '67-19=48']
Exploring Operation: 48-17=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
65,
1,
61,
7
] | 32 | [
"65-61=4",
"1+7=8",
"4*8=32"
] | Current State: 32:[65, 1, 61, 7], Operations: []
Exploring Operation: 65-61=4, Resulting Numbers: [1, 7, 4]
Generated Node #2: [1, 7, 4] from Operation: 65-61=4
Current State: 32:[1, 7, 4], Operations: ['65-61=4']
Exploring Operation: 1+7=8, Resulting Numbers: [4, 8]
Generated Node #3: [4, 8] from Operation: 1+7=8
Current State: 32:[4, 8], Operations: ['65-61=4', '1+7=8']
Exploring Operation: 4*8=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
46,
71,
27,
58
] | 86 | [
"46+71=117",
"58-27=31",
"117-31=86"
] | Current State: 86:[46, 71, 27, 58], Operations: []
Exploring Operation: 46+71=117, Resulting Numbers: [27, 58, 117]
Generated Node #2: [27, 58, 117] from Operation: 46+71=117
Current State: 86:[27, 58, 117], Operations: ['46+71=117']
Exploring Operation: 58-27=31, Resulting Numbers: [117, 31]
Generated Node #3: [117, 31] from Operation: 58-27=31
Current State: 86:[117, 31], Operations: ['46+71=117', '58-27=31']
Exploring Operation: 117-31=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
64,
28,
63,
26
] | 53 | [
"64-28=36",
"63+26=89",
"89-36=53"
] | Current State: 53:[64, 28, 63, 26], Operations: []
Exploring Operation: 64-28=36, Resulting Numbers: [63, 26, 36]
Generated Node #2: [63, 26, 36] from Operation: 64-28=36
Current State: 53:[63, 26, 36], Operations: ['64-28=36']
Exploring Operation: 63+26=89, Resulting Numbers: [36, 89]
Generated Node #3: [36, 89] from Operation: 63+26=89
Current State: 53:[36, 89], Operations: ['64-28=36', '63+26=89']
Exploring Operation: 89-36=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
12,
90,
94,
21
] | 69 | [
"94-90=4",
"12*4=48",
"21+48=69"
] | Current State: 69:[12, 90, 94, 21], Operations: []
Exploring Operation: 94-90=4, Resulting Numbers: [12, 21, 4]
Generated Node #2: [12, 21, 4] from Operation: 94-90=4
Current State: 69:[12, 21, 4], Operations: ['94-90=4']
Exploring Operation: 12*4=48, Resulting Numbers: [21, 48]
Generated Node #3: [21, 48] from Operation: 12*4=48
Current State: 69:[21, 48], Operations: ['94-90=4', '12*4=48']
Exploring Operation: 21+48=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
60,
59,
99,
33
] | 39 | [
"60*33=1980",
"1980/99=20",
"59-20=39"
] | Current State: 39:[60, 59, 99, 33], Operations: []
Exploring Operation: 60*33=1980, Resulting Numbers: [59, 99, 1980]
Generated Node #2: [59, 99, 1980] from Operation: 60*33=1980
Current State: 39:[59, 99, 1980], Operations: ['60*33=1980']
Exploring Operation: 1980/99=20, Resulting Numbers: [59, 20]
Generated Node #3: [59, 20] from Operation: 1980/99=20
Current State: 39:[59, 20], Operations: ['60*33=1980', '1980/99=20']
Exploring Operation: 59-20=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
30,
13,
18,
25
] | 50 | [
"30+13=43",
"25-18=7",
"43+7=50"
] | Current State: 50:[30, 13, 18, 25], Operations: []
Exploring Operation: 30+13=43, Resulting Numbers: [18, 25, 43]
Generated Node #2: [18, 25, 43] from Operation: 30+13=43
Current State: 50:[18, 25, 43], Operations: ['30+13=43']
Exploring Operation: 25-18=7, Resulting Numbers: [43, 7]
Generated Node #3: [43, 7] from Operation: 25-18=7
Current State: 50:[43, 7], Operations: ['30+13=43', '25-18=7']
Exploring Operation: 43+7=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
48,
2,
23,
20
] | 18 | [
"48-2=46",
"46/23=2",
"20-2=18"
] | Current State: 18:[48, 2, 23, 20], Operations: []
Exploring Operation: 48-2=46, Resulting Numbers: [23, 20, 46]
Generated Node #2: [23, 20, 46] from Operation: 48-2=46
Current State: 18:[23, 20, 46], Operations: ['48-2=46']
Exploring Operation: 46/23=2, Resulting Numbers: [20, 2]
Generated Node #3: [20, 2] from Operation: 46/23=2
Current State: 18:[20, 2], Operations: ['48-2=46', '46/23=2']
Exploring Operation: 20-2=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
51,
17,
31,
3
] | 84 | [
"51/17=3",
"31-3=28",
"3*28=84"
] | Current State: 84:[51, 17, 31, 3], Operations: []
Exploring Operation: 51/17=3, Resulting Numbers: [31, 3, 3]
Generated Node #2: [31, 3, 3] from Operation: 51/17=3
Current State: 84:[31, 3, 3], Operations: ['51/17=3']
Exploring Operation: 31-3=28, Resulting Numbers: [28]
28,84 equal: Goal Reached
Exploring Operation: 3*28=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
59,
74,
39,
74
] | 50 | [
"74-59=15",
"74-39=35",
"15+35=50"
] | Current State: 50:[59, 74, 39, 74], Operations: []
Exploring Operation: 74-59=15, Resulting Numbers: [39, 15]
Generated Node #2: [39, 15] from Operation: 74-59=15
Current State: 50:[39, 15], Operations: ['74-59=15']
Exploring Operation: 74-39=35, Resulting Numbers: [15, 35]
Generated Node #3: [15, 35] from Operation: 74-39=35
Current State: 50:[15, 35], Operations: ['74-59=15', '74-39=35']
Exploring Operation: 15+35=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
11,
66,
54,
99
] | 47 | [
"66*54=3564",
"3564/99=36",
"11+36=47"
] | Current State: 47:[11, 66, 54, 99], Operations: []
Exploring Operation: 66*54=3564, Resulting Numbers: [11, 99, 3564]
Generated Node #2: [11, 99, 3564] from Operation: 66*54=3564
Current State: 47:[11, 99, 3564], Operations: ['66*54=3564']
Exploring Operation: 3564/99=36, Resulting Numbers: [11, 36]
Generated Node #3: [11, 36] from Operation: 3564/99=36
Current State: 47:[11, 36], Operations: ['66*54=3564', '3564/99=36']
Exploring Operation: 11+36=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
46,
6,
82,
56
] | 65 | [
"46+56=102",
"102/6=17",
"82-17=65"
] | Current State: 65:[46, 6, 82, 56], Operations: []
Exploring Operation: 46+56=102, Resulting Numbers: [6, 82, 102]
Generated Node #2: [6, 82, 102] from Operation: 46+56=102
Current State: 65:[6, 82, 102], Operations: ['46+56=102']
Exploring Operation: 102/6=17, Resulting Numbers: [82, 17]
Generated Node #3: [82, 17] from Operation: 102/6=17
Current State: 65:[82, 17], Operations: ['46+56=102', '102/6=17']
Exploring Operation: 82-17=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
95,
48,
94,
6
] | 53 | [
"95-48=47",
"94+6=100",
"100-47=53"
] | Current State: 53:[95, 48, 94, 6], Operations: []
Exploring Operation: 95-48=47, Resulting Numbers: [94, 6, 47]
Generated Node #2: [94, 6, 47] from Operation: 95-48=47
Current State: 53:[94, 6, 47], Operations: ['95-48=47']
Exploring Operation: 94+6=100, Resulting Numbers: [47, 100]
Generated Node #3: [47, 100] from Operation: 94+6=100
Current State: 53:[47, 100], Operations: ['95-48=47', '94+6=100']
Exploring Operation: 100-47=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
13,
87,
6,
33
] | 29 | [
"13*87=1131",
"6+33=39",
"1131/39=29"
] | Current State: 29:[13, 87, 6, 33], Operations: []
Exploring Operation: 13*87=1131, Resulting Numbers: [6, 33, 1131]
Generated Node #2: [6, 33, 1131] from Operation: 13*87=1131
Current State: 29:[6, 33, 1131], Operations: ['13*87=1131']
Exploring Operation: 6+33=39, Resulting Numbers: [1131, 39]
Generated Node #3: [1131, 39] from Operation: 6+33=39
Current State: 29:[1131, 39], Operations: ['13*87=1131', '6+33=39']
Exploring Operation: 1131/39=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
8,
36,
20,
85
] | 77 | [
"36-8=28",
"20+85=105",
"105-28=77"
] | Current State: 77:[8, 36, 20, 85], Operations: []
Exploring Operation: 36-8=28, Resulting Numbers: [20, 85, 28]
Generated Node #2: [20, 85, 28] from Operation: 36-8=28
Current State: 77:[20, 85, 28], Operations: ['36-8=28']
Exploring Operation: 20+85=105, Resulting Numbers: [28, 105]
Generated Node #3: [28, 105] from Operation: 20+85=105
Current State: 77:[28, 105], Operations: ['36-8=28', '20+85=105']
Exploring Operation: 105-28=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
57,
74,
9,
23
] | 49 | [
"74-57=17",
"9+23=32",
"17+32=49"
] | Current State: 49:[57, 74, 9, 23], Operations: []
Exploring Operation: 74-57=17, Resulting Numbers: [9, 23, 17]
Generated Node #2: [9, 23, 17] from Operation: 74-57=17
Current State: 49:[9, 23, 17], Operations: ['74-57=17']
Exploring Operation: 9+23=32, Resulting Numbers: [17, 32]
Generated Node #3: [17, 32] from Operation: 9+23=32
Current State: 49:[17, 32], Operations: ['74-57=17', '9+23=32']
Exploring Operation: 17+32=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
25,
21,
7,
86
] | 47 | [
"25+21=46",
"7+86=93",
"93-46=47"
] | Current State: 47:[25, 21, 7, 86], Operations: []
Exploring Operation: 25+21=46, Resulting Numbers: [7, 86, 46]
Generated Node #2: [7, 86, 46] from Operation: 25+21=46
Current State: 47:[7, 86, 46], Operations: ['25+21=46']
Exploring Operation: 7+86=93, Resulting Numbers: [46, 93]
Generated Node #3: [46, 93] from Operation: 7+86=93
Current State: 47:[46, 93], Operations: ['25+21=46', '7+86=93']
Exploring Operation: 93-46=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
21,
7,
22,
20
] | 16 | [
"21-7=14",
"22-20=2",
"14+2=16"
] | Current State: 16:[21, 7, 22, 20], Operations: []
Exploring Operation: 21-7=14, Resulting Numbers: [22, 20, 14]
Generated Node #2: [22, 20, 14] from Operation: 21-7=14
Current State: 16:[22, 20, 14], Operations: ['21-7=14']
Exploring Operation: 22-20=2, Resulting Numbers: [14, 2]
Generated Node #3: [14, 2] from Operation: 22-20=2
Current State: 16:[14, 2], Operations: ['21-7=14', '22-20=2']
Exploring Operation: 14+2=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
51,
86,
42,
24
] | 17 | [
"86-51=35",
"42-24=18",
"35-18=17"
] | Current State: 17:[51, 86, 42, 24], Operations: []
Exploring Operation: 86-51=35, Resulting Numbers: [42, 24, 35]
Generated Node #2: [42, 24, 35] from Operation: 86-51=35
Current State: 17:[42, 24, 35], Operations: ['86-51=35']
Exploring Operation: 42-24=18, Resulting Numbers: [35, 18]
Generated Node #3: [35, 18] from Operation: 42-24=18
Current State: 17:[35, 18], Operations: ['86-51=35', '42-24=18']
Exploring Operation: 35-18=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
60,
2,
39,
24
] | 30 | [
"39-24=15",
"2*15=30",
"60-30=30"
] | Current State: 30:[60, 2, 39, 24], Operations: []
Exploring Operation: 39-24=15, Resulting Numbers: [60, 2, 15]
Generated Node #2: [60, 2, 15] from Operation: 39-24=15
Current State: 30:[60, 2, 15], Operations: ['39-24=15']
Exploring Operation: 2*15=30, Resulting Numbers: [60, 30]
Generated Node #3: [60, 30] from Operation: 2*15=30
Current State: 30:[60, 30], Operations: ['39-24=15', '2*15=30']
Exploring Operation: 60-30=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
28,
55,
10,
35
] | 30 | [
"55-35=20",
"20/10=2",
"28+2=30"
] | Current State: 30:[28, 55, 10, 35], Operations: []
Exploring Operation: 55-35=20, Resulting Numbers: [28, 10, 20]
Generated Node #2: [28, 10, 20] from Operation: 55-35=20
Current State: 30:[28, 10, 20], Operations: ['55-35=20']
Exploring Operation: 20/10=2, Resulting Numbers: [28, 2]
Generated Node #3: [28, 2] from Operation: 20/10=2
Current State: 30:[28, 2], Operations: ['55-35=20', '20/10=2']
Exploring Operation: 28+2=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
4,
12,
83,
88
] | 32 | [
"88-83=5",
"4*5=20",
"12+20=32"
] | Current State: 32:[4, 12, 83, 88], Operations: []
Exploring Operation: 88-83=5, Resulting Numbers: [4, 12, 5]
Generated Node #2: [4, 12, 5] from Operation: 88-83=5
Current State: 32:[4, 12, 5], Operations: ['88-83=5']
Exploring Operation: 4*5=20, Resulting Numbers: [12, 20]
Generated Node #3: [12, 20] from Operation: 4*5=20
Current State: 32:[12, 20], Operations: ['88-83=5', '4*5=20']
Exploring Operation: 12+20=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
61,
27,
2,
84
] | 86 | [
"61+27=88",
"84+88=172",
"172/2=86"
] | Current State: 86:[61, 27, 2, 84], Operations: []
Exploring Operation: 61+27=88, Resulting Numbers: [2, 84, 88]
Generated Node #2: [2, 84, 88] from Operation: 61+27=88
Current State: 86:[2, 84, 88], Operations: ['61+27=88']
Exploring Operation: 84+88=172, Resulting Numbers: [2, 172]
Generated Node #3: [2, 172] from Operation: 84+88=172
Current State: 86:[2, 172], Operations: ['61+27=88', '84+88=172']
Exploring Operation: 172/2=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
41,
98,
98,
54
] | 94 | [
"41+54=95",
"98/98=1",
"95-1=94"
] | Current State: 94:[41, 98, 98, 54], Operations: []
Exploring Operation: 41+54=95, Resulting Numbers: [98, 98, 95]
Generated Node #2: [98, 98, 95] from Operation: 41+54=95
Current State: 94:[98, 98, 95], Operations: ['41+54=95']
Exploring Operation: 98/98=1, Resulting Numbers: [95, 1]
Generated Node #3: [95, 1] from Operation: 98/98=1
Current State: 94:[95, 1], Operations: ['41+54=95', '98/98=1']
Exploring Operation: 95-1=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
11,
11,
85,
26
] | 62 | [
"11*11=121",
"85-26=59",
"121-59=62"
] | Current State: 62:[11, 11, 85, 26], Operations: []
Exploring Operation: 11*11=121, Resulting Numbers: [85, 26, 121]
Generated Node #2: [85, 26, 121] from Operation: 11*11=121
Current State: 62:[85, 26, 121], Operations: ['11*11=121']
Exploring Operation: 85-26=59, Resulting Numbers: [121, 59]
Generated Node #3: [121, 59] from Operation: 85-26=59
Current State: 62:[121, 59], Operations: ['11*11=121', '85-26=59']
Exploring Operation: 121-59=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
64,
4,
95,
9
] | 10 | [
"95-64=31",
"9+31=40",
"40/4=10"
] | Current State: 10:[64, 4, 95, 9], Operations: []
Exploring Operation: 95-64=31, Resulting Numbers: [4, 9, 31]
Generated Node #2: [4, 9, 31] from Operation: 95-64=31
Current State: 10:[4, 9, 31], Operations: ['95-64=31']
Exploring Operation: 9+31=40, Resulting Numbers: [4, 40]
Generated Node #3: [4, 40] from Operation: 9+31=40
Current State: 10:[4, 40], Operations: ['95-64=31', '9+31=40']
Exploring Operation: 40/4=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
50,
20,
84,
66
] | 100 | [
"84-20=64",
"66-64=2",
"50*2=100"
] | Current State: 100:[50, 20, 84, 66], Operations: []
Exploring Operation: 84-20=64, Resulting Numbers: [50, 66, 64]
Generated Node #2: [50, 66, 64] from Operation: 84-20=64
Current State: 100:[50, 66, 64], Operations: ['84-20=64']
Exploring Operation: 66-64=2, Resulting Numbers: [50, 2]
Generated Node #3: [50, 2] from Operation: 66-64=2
Current State: 100:[50, 2], Operations: ['84-20=64', '66-64=2']
Exploring Operation: 50*2=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
80,
49,
79,
29
] | 75 | [
"49-29=20",
"80/20=4",
"79-4=75"
] | Current State: 75:[80, 49, 79, 29], Operations: []
Exploring Operation: 49-29=20, Resulting Numbers: [80, 79, 20]
Generated Node #2: [80, 79, 20] from Operation: 49-29=20
Current State: 75:[80, 79, 20], Operations: ['49-29=20']
Exploring Operation: 80/20=4, Resulting Numbers: [79, 4]
Generated Node #3: [79, 4] from Operation: 80/20=4
Current State: 75:[79, 4], Operations: ['49-29=20', '80/20=4']
Exploring Operation: 79-4=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
63,
34,
12,
14
] | 80 | [
"14-12=2",
"34/2=17",
"63+17=80"
] | Current State: 80:[63, 34, 12, 14], Operations: []
Exploring Operation: 14-12=2, Resulting Numbers: [63, 34, 2]
Generated Node #2: [63, 34, 2] from Operation: 14-12=2
Current State: 80:[63, 34, 2], Operations: ['14-12=2']
Exploring Operation: 34/2=17, Resulting Numbers: [63, 17]
Generated Node #3: [63, 17] from Operation: 34/2=17
Current State: 80:[63, 17], Operations: ['14-12=2', '34/2=17']
Exploring Operation: 63+17=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
73,
2,
99,
36
] | 50 | [
"73+99=172",
"172/2=86",
"86-36=50"
] | Current State: 50:[73, 2, 99, 36], Operations: []
Exploring Operation: 73+99=172, Resulting Numbers: [2, 36, 172]
Generated Node #2: [2, 36, 172] from Operation: 73+99=172
Current State: 50:[2, 36, 172], Operations: ['73+99=172']
Exploring Operation: 172/2=86, Resulting Numbers: [36, 86]
Generated Node #3: [36, 86] from Operation: 172/2=86
Current State: 50:[36, 86], Operations: ['73+99=172', '172/2=86']
Exploring Operation: 86-36=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
65,
70,
80,
69
] | 14 | [
"65+70=135",
"80+69=149",
"149-135=14"
] | Current State: 14:[65, 70, 80, 69], Operations: []
Exploring Operation: 65+70=135, Resulting Numbers: [80, 69, 135]
Generated Node #2: [80, 69, 135] from Operation: 65+70=135
Current State: 14:[80, 69, 135], Operations: ['65+70=135']
Exploring Operation: 80+69=149, Resulting Numbers: [135, 149]
Generated Node #3: [135, 149] from Operation: 80+69=149
Current State: 14:[135, 149], Operations: ['65+70=135', '80+69=149']
Exploring Operation: 149-135=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
92,
35,
73,
12
] | 28 | [
"92-35=57",
"73+12=85",
"85-57=28"
] | Current State: 28:[92, 35, 73, 12], Operations: []
Exploring Operation: 92-35=57, Resulting Numbers: [73, 12, 57]
Generated Node #2: [73, 12, 57] from Operation: 92-35=57
Current State: 28:[73, 12, 57], Operations: ['92-35=57']
Exploring Operation: 73+12=85, Resulting Numbers: [57, 85]
Generated Node #3: [57, 85] from Operation: 73+12=85
Current State: 28:[57, 85], Operations: ['92-35=57', '73+12=85']
Exploring Operation: 85-57=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
65,
76,
18,
66
] | 73 | [
"76-65=11",
"18+66=84",
"84-11=73"
] | Current State: 73:[65, 76, 18, 66], Operations: []
Exploring Operation: 76-65=11, Resulting Numbers: [18, 66, 11]
Generated Node #2: [18, 66, 11] from Operation: 76-65=11
Current State: 73:[18, 66, 11], Operations: ['76-65=11']
Exploring Operation: 18+66=84, Resulting Numbers: [11, 84]
Generated Node #3: [11, 84] from Operation: 18+66=84
Current State: 73:[11, 84], Operations: ['76-65=11', '18+66=84']
Exploring Operation: 84-11=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
11,
91,
11,
74
] | 18 | [
"11/11=1",
"91-74=17",
"1+17=18"
] | Current State: 18:[11, 91, 11, 74], Operations: []
Exploring Operation: 11/11=1, Resulting Numbers: [91, 74, 1]
Generated Node #2: [91, 74, 1] from Operation: 11/11=1
Current State: 18:[91, 74, 1], Operations: ['11/11=1']
Exploring Operation: 91-74=17, Resulting Numbers: [1, 17]
Generated Node #3: [1, 17] from Operation: 91-74=17
Current State: 18:[1, 17], Operations: ['11/11=1', '91-74=17']
Exploring Operation: 1+17=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
73,
11,
23,
44
] | 66 | [
"73-23=50",
"50-44=6",
"11*6=66"
] | Current State: 66:[73, 11, 23, 44], Operations: []
Exploring Operation: 73-23=50, Resulting Numbers: [11, 44, 50]
Generated Node #2: [11, 44, 50] from Operation: 73-23=50
Current State: 66:[11, 44, 50], Operations: ['73-23=50']
Exploring Operation: 50-44=6, Resulting Numbers: [11, 6]
Generated Node #3: [11, 6] from Operation: 50-44=6
Current State: 66:[11, 6], Operations: ['73-23=50', '50-44=6']
Exploring Operation: 11*6=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
27,
90,
32,
62
] | 30 | [
"27+32=59",
"62-59=3",
"90/3=30"
] | Current State: 30:[27, 90, 32, 62], Operations: []
Exploring Operation: 27+32=59, Resulting Numbers: [90, 62, 59]
Generated Node #2: [90, 62, 59] from Operation: 27+32=59
Current State: 30:[90, 62, 59], Operations: ['27+32=59']
Exploring Operation: 62-59=3, Resulting Numbers: [90, 3]
Generated Node #3: [90, 3] from Operation: 62-59=3
Current State: 30:[90, 3], Operations: ['27+32=59', '62-59=3']
Exploring Operation: 90/3=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
38,
94,
56,
2
] | 56 | [
"94-38=56",
"56*2=112",
"112-56=56"
] | Current State: 56:[38, 94, 56, 2], Operations: []
Exploring Operation: 94-38=56, Resulting Numbers: [56, 2, 56]
Generated Node #2: [56, 2, 56] from Operation: 94-38=56
Current State: 56:[56, 2, 56], Operations: ['94-38=56']
Exploring Operation: 56*2=112, Resulting Numbers: [112]
112,56 equal: Goal Reached
Exploring Operation: 112-56=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
91,
11,
15,
10
] | 48 | [
"91+11=102",
"15*10=150",
"150-102=48"
] | Current State: 48:[91, 11, 15, 10], Operations: []
Exploring Operation: 91+11=102, Resulting Numbers: [15, 10, 102]
Generated Node #2: [15, 10, 102] from Operation: 91+11=102
Current State: 48:[15, 10, 102], Operations: ['91+11=102']
Exploring Operation: 15*10=150, Resulting Numbers: [102, 150]
Generated Node #3: [102, 150] from Operation: 15*10=150
Current State: 48:[102, 150], Operations: ['91+11=102', '15*10=150']
Exploring Operation: 150-102=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
49,
22,
4,
33
] | 24 | [
"49-22=27",
"33-27=6",
"4*6=24"
] | Current State: 24:[49, 22, 4, 33], Operations: []
Exploring Operation: 49-22=27, Resulting Numbers: [4, 33, 27]
Generated Node #2: [4, 33, 27] from Operation: 49-22=27
Current State: 24:[4, 33, 27], Operations: ['49-22=27']
Exploring Operation: 33-27=6, Resulting Numbers: [4, 6]
Generated Node #3: [4, 6] from Operation: 33-27=6
Current State: 24:[4, 6], Operations: ['49-22=27', '33-27=6']
Exploring Operation: 4*6=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
70,
45,
3,
42
] | 24 | [
"45*42=1890",
"1890/70=27",
"27-3=24"
] | Current State: 24:[70, 45, 3, 42], Operations: []
Exploring Operation: 45*42=1890, Resulting Numbers: [70, 3, 1890]
Generated Node #2: [70, 3, 1890] from Operation: 45*42=1890
Current State: 24:[70, 3, 1890], Operations: ['45*42=1890']
Exploring Operation: 1890/70=27, Resulting Numbers: [3, 27]
Generated Node #3: [3, 27] from Operation: 1890/70=27
Current State: 24:[3, 27], Operations: ['45*42=1890', '1890/70=27']
Exploring Operation: 27-3=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
54,
98,
36,
60
] | 27 | [
"98-36=62",
"62-60=2",
"54/2=27"
] | Current State: 27:[54, 98, 36, 60], Operations: []
Exploring Operation: 98-36=62, Resulting Numbers: [54, 60, 62]
Generated Node #2: [54, 60, 62] from Operation: 98-36=62
Current State: 27:[54, 60, 62], Operations: ['98-36=62']
Exploring Operation: 62-60=2, Resulting Numbers: [54, 2]
Generated Node #3: [54, 2] from Operation: 62-60=2
Current State: 27:[54, 2], Operations: ['98-36=62', '62-60=2']
Exploring Operation: 54/2=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
48,
89,
6,
54
] | 72 | [
"48+54=102",
"102/6=17",
"89-17=72"
] | Current State: 72:[48, 89, 6, 54], Operations: []
Exploring Operation: 48+54=102, Resulting Numbers: [89, 6, 102]
Generated Node #2: [89, 6, 102] from Operation: 48+54=102
Current State: 72:[89, 6, 102], Operations: ['48+54=102']
Exploring Operation: 102/6=17, Resulting Numbers: [89, 17]
Generated Node #3: [89, 17] from Operation: 102/6=17
Current State: 72:[89, 17], Operations: ['48+54=102', '102/6=17']
Exploring Operation: 89-17=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
5,
85,
51,
4
] | 25 | [
"85-5=80",
"51+4=55",
"80-55=25"
] | Current State: 25:[5, 85, 51, 4], Operations: []
Exploring Operation: 85-5=80, Resulting Numbers: [51, 4, 80]
Generated Node #2: [51, 4, 80] from Operation: 85-5=80
Current State: 25:[51, 4, 80], Operations: ['85-5=80']
Exploring Operation: 51+4=55, Resulting Numbers: [80, 55]
Generated Node #3: [80, 55] from Operation: 51+4=55
Current State: 25:[80, 55], Operations: ['85-5=80', '51+4=55']
Exploring Operation: 80-55=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
3,
22,
25,
91
] | 44 | [
"91-25=66",
"66/3=22",
"22+22=44"
] | Current State: 44:[3, 22, 25, 91], Operations: []
Exploring Operation: 91-25=66, Resulting Numbers: [3, 22, 66]
Generated Node #2: [3, 22, 66] from Operation: 91-25=66
Current State: 44:[3, 22, 66], Operations: ['91-25=66']
Exploring Operation: 66/3=22, Resulting Numbers: [22, 22]
Generated Node #3: [22, 22] from Operation: 66/3=22
Current State: 44:[22, 22], Operations: ['91-25=66', '66/3=22']
Exploring Operation: 22+22=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
73,
47,
3,
49
] | 20 | [
"73-47=26",
"49-3=46",
"46-26=20"
] | Current State: 20:[73, 47, 3, 49], Operations: []
Exploring Operation: 73-47=26, Resulting Numbers: [3, 49, 26]
Generated Node #2: [3, 49, 26] from Operation: 73-47=26
Current State: 20:[3, 49, 26], Operations: ['73-47=26']
Exploring Operation: 49-3=46, Resulting Numbers: [26, 46]
Generated Node #3: [26, 46] from Operation: 49-3=46
Current State: 20:[26, 46], Operations: ['73-47=26', '49-3=46']
Exploring Operation: 46-26=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
11,
68,
20,
77
] | 40 | [
"11+68=79",
"79-77=2",
"20*2=40"
] | Current State: 40:[11, 68, 20, 77], Operations: []
Exploring Operation: 11+68=79, Resulting Numbers: [20, 77, 79]
Generated Node #2: [20, 77, 79] from Operation: 11+68=79
Current State: 40:[20, 77, 79], Operations: ['11+68=79']
Exploring Operation: 79-77=2, Resulting Numbers: [20, 2]
Generated Node #3: [20, 2] from Operation: 79-77=2
Current State: 40:[20, 2], Operations: ['11+68=79', '79-77=2']
Exploring Operation: 20*2=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
7,
79,
69,
29
] | 87 | [
"79-7=72",
"72-69=3",
"29*3=87"
] | Current State: 87:[7, 79, 69, 29], Operations: []
Exploring Operation: 79-7=72, Resulting Numbers: [69, 29, 72]
Generated Node #2: [69, 29, 72] from Operation: 79-7=72
Current State: 87:[69, 29, 72], Operations: ['79-7=72']
Exploring Operation: 72-69=3, Resulting Numbers: [29, 3]
Generated Node #3: [29, 3] from Operation: 72-69=3
Current State: 87:[29, 3], Operations: ['79-7=72', '72-69=3']
Exploring Operation: 29*3=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
98,
89,
81,
28
] | 44 | [
"98-89=9",
"81-28=53",
"53-9=44"
] | Current State: 44:[98, 89, 81, 28], Operations: []
Exploring Operation: 98-89=9, Resulting Numbers: [81, 28, 9]
Generated Node #2: [81, 28, 9] from Operation: 98-89=9
Current State: 44:[81, 28, 9], Operations: ['98-89=9']
Exploring Operation: 81-28=53, Resulting Numbers: [9, 53]
Generated Node #3: [9, 53] from Operation: 81-28=53
Current State: 44:[9, 53], Operations: ['98-89=9', '81-28=53']
Exploring Operation: 53-9=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
21,
87,
81,
37
] | 89 | [
"87-81=6",
"21*6=126",
"126-37=89"
] | Current State: 89:[21, 87, 81, 37], Operations: []
Exploring Operation: 87-81=6, Resulting Numbers: [21, 37, 6]
Generated Node #2: [21, 37, 6] from Operation: 87-81=6
Current State: 89:[21, 37, 6], Operations: ['87-81=6']
Exploring Operation: 21*6=126, Resulting Numbers: [37, 126]
Generated Node #3: [37, 126] from Operation: 21*6=126
Current State: 89:[37, 126], Operations: ['87-81=6', '21*6=126']
Exploring Operation: 126-37=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
6,
16,
8,
80
] | 37 | [
"80-6=74",
"16/8=2",
"74/2=37"
] | Current State: 37:[6, 16, 8, 80], Operations: []
Exploring Operation: 80-6=74, Resulting Numbers: [16, 8, 74]
Generated Node #2: [16, 8, 74] from Operation: 80-6=74
Current State: 37:[16, 8, 74], Operations: ['80-6=74']
Exploring Operation: 16/8=2, Resulting Numbers: [74, 2]
Generated Node #3: [74, 2] from Operation: 16/8=2
Current State: 37:[74, 2], Operations: ['80-6=74', '16/8=2']
Exploring Operation: 74/2=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
35,
89,
2,
91
] | 29 | [
"35+89=124",
"124/2=62",
"91-62=29"
] | Current State: 29:[35, 89, 2, 91], Operations: []
Exploring Operation: 35+89=124, Resulting Numbers: [2, 91, 124]
Generated Node #2: [2, 91, 124] from Operation: 35+89=124
Current State: 29:[2, 91, 124], Operations: ['35+89=124']
Exploring Operation: 124/2=62, Resulting Numbers: [91, 62]
Generated Node #3: [91, 62] from Operation: 124/2=62
Current State: 29:[91, 62], Operations: ['35+89=124', '124/2=62']
Exploring Operation: 91-62=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
84,
5,
26,
12
] | 10 | [
"84+26=110",
"110/5=22",
"22-12=10"
] | Current State: 10:[84, 5, 26, 12], Operations: []
Exploring Operation: 84+26=110, Resulting Numbers: [5, 12, 110]
Generated Node #2: [5, 12, 110] from Operation: 84+26=110
Current State: 10:[5, 12, 110], Operations: ['84+26=110']
Exploring Operation: 110/5=22, Resulting Numbers: [12, 22]
Generated Node #3: [12, 22] from Operation: 110/5=22
Current State: 10:[12, 22], Operations: ['84+26=110', '110/5=22']
Exploring Operation: 22-12=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
97,
29,
5,
5
] | 53 | [
"97-5=92",
"29*5=145",
"145-92=53"
] | Current State: 53:[97, 29, 5, 5], Operations: []
Exploring Operation: 97-5=92, Resulting Numbers: [29, 92]
Generated Node #2: [29, 92] from Operation: 97-5=92
Current State: 53:[29, 92], Operations: ['97-5=92']
Exploring Operation: 29*5=145, Resulting Numbers: [92, 145]
Generated Node #3: [92, 145] from Operation: 29*5=145
Current State: 53:[92, 145], Operations: ['97-5=92', '29*5=145']
Exploring Operation: 145-92=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
16,
73,
99,
70
] | 86 | [
"73-16=57",
"99-70=29",
"57+29=86"
] | Current State: 86:[16, 73, 99, 70], Operations: []
Exploring Operation: 73-16=57, Resulting Numbers: [99, 70, 57]
Generated Node #2: [99, 70, 57] from Operation: 73-16=57
Current State: 86:[99, 70, 57], Operations: ['73-16=57']
Exploring Operation: 99-70=29, Resulting Numbers: [57, 29]
Generated Node #3: [57, 29] from Operation: 99-70=29
Current State: 86:[57, 29], Operations: ['73-16=57', '99-70=29']
Exploring Operation: 57+29=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
24,
69,
14,
27
] | 15 | [
"24*14=336",
"69+336=405",
"405/27=15"
] | Current State: 15:[24, 69, 14, 27], Operations: []
Exploring Operation: 24*14=336, Resulting Numbers: [69, 27, 336]
Generated Node #2: [69, 27, 336] from Operation: 24*14=336
Current State: 15:[69, 27, 336], Operations: ['24*14=336']
Exploring Operation: 69+336=405, Resulting Numbers: [27, 405]
Generated Node #3: [27, 405] from Operation: 69+336=405
Current State: 15:[27, 405], Operations: ['24*14=336', '69+336=405']
Exploring Operation: 405/27=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
43,
3,
77,
2
] | 65 | [
"77-43=34",
"2*34=68",
"68-3=65"
] | Current State: 65:[43, 3, 77, 2], Operations: []
Exploring Operation: 77-43=34, Resulting Numbers: [3, 2, 34]
Generated Node #2: [3, 2, 34] from Operation: 77-43=34
Current State: 65:[3, 2, 34], Operations: ['77-43=34']
Exploring Operation: 2*34=68, Resulting Numbers: [3, 68]
Generated Node #3: [3, 68] from Operation: 2*34=68
Current State: 65:[3, 68], Operations: ['77-43=34', '2*34=68']
Exploring Operation: 68-3=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
94,
67,
45,
53
] | 81 | [
"67*53=3551",
"94+3551=3645",
"3645/45=81"
] | Current State: 81:[94, 67, 45, 53], Operations: []
Exploring Operation: 67*53=3551, Resulting Numbers: [94, 45, 3551]
Generated Node #2: [94, 45, 3551] from Operation: 67*53=3551
Current State: 81:[94, 45, 3551], Operations: ['67*53=3551']
Exploring Operation: 94+3551=3645, Resulting Numbers: [45, 3645]
Generated Node #3: [45, 3645] from Operation: 94+3551=3645
Current State: 81:[45, 3645], Operations: ['67*53=3551', '94+3551=3645']
Exploring Operation: 3645/45=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
90,
69,
81,
63
] | 81 | [
"90*63=5670",
"69*81=5589",
"5670-5589=81"
] | Current State: 81:[90, 69, 81, 63], Operations: []
Exploring Operation: 90*63=5670, Resulting Numbers: [69, 81, 5670]
Generated Node #2: [69, 81, 5670] from Operation: 90*63=5670
Current State: 81:[69, 81, 5670], Operations: ['90*63=5670']
Exploring Operation: 69*81=5589, Resulting Numbers: [5670, 5589]
Generated Node #3: [5670, 5589] from Operation: 69*81=5589
Current State: 81:[5670, 5589], Operations: ['90*63=5670', '69*81=5589']
Exploring Operation: 5670-5589=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
75,
66,
80,
10
] | 16 | [
"80-75=5",
"10*5=50",
"66-50=16"
] | Current State: 16:[75, 66, 80, 10], Operations: []
Exploring Operation: 80-75=5, Resulting Numbers: [66, 10, 5]
Generated Node #2: [66, 10, 5] from Operation: 80-75=5
Current State: 16:[66, 10, 5], Operations: ['80-75=5']
Exploring Operation: 10*5=50, Resulting Numbers: [66, 50]
Generated Node #3: [66, 50] from Operation: 10*5=50
Current State: 16:[66, 50], Operations: ['80-75=5', '10*5=50']
Exploring Operation: 66-50=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
16,
36,
48,
57
] | 63 | [
"48/16=3",
"57-36=21",
"3*21=63"
] | Current State: 63:[16, 36, 48, 57], Operations: []
Exploring Operation: 48/16=3, Resulting Numbers: [36, 57, 3]
Generated Node #2: [36, 57, 3] from Operation: 48/16=3
Current State: 63:[36, 57, 3], Operations: ['48/16=3']
Exploring Operation: 57-36=21, Resulting Numbers: [3, 21]
Generated Node #3: [3, 21] from Operation: 57-36=21
Current State: 63:[3, 21], Operations: ['48/16=3', '57-36=21']
Exploring Operation: 3*21=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
68,
6,
2,
88
] | 75 | [
"68-6=62",
"88+62=150",
"150/2=75"
] | Current State: 75:[68, 6, 2, 88], Operations: []
Exploring Operation: 68-6=62, Resulting Numbers: [2, 88, 62]
Generated Node #2: [2, 88, 62] from Operation: 68-6=62
Current State: 75:[2, 88, 62], Operations: ['68-6=62']
Exploring Operation: 88+62=150, Resulting Numbers: [2, 150]
Generated Node #3: [2, 150] from Operation: 88+62=150
Current State: 75:[2, 150], Operations: ['68-6=62', '88+62=150']
Exploring Operation: 150/2=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
7,
63,
7,
20
] | 11 | [
"7*20=140",
"140-63=77",
"77/7=11"
] | Current State: 11:[7, 63, 7, 20], Operations: []
Exploring Operation: 7*20=140, Resulting Numbers: [63, 140]
Generated Node #2: [63, 140] from Operation: 7*20=140
Current State: 11:[63, 140], Operations: ['7*20=140']
Exploring Operation: 140-63=77, Resulting Numbers: [77]
77,11 equal: Goal Reached
Exploring Operation: 77/7=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
57,
15,
27,
89
] | 91 | [
"57-27=30",
"30/15=2",
"89+2=91"
] | Current State: 91:[57, 15, 27, 89], Operations: []
Exploring Operation: 57-27=30, Resulting Numbers: [15, 89, 30]
Generated Node #2: [15, 89, 30] from Operation: 57-27=30
Current State: 91:[15, 89, 30], Operations: ['57-27=30']
Exploring Operation: 30/15=2, Resulting Numbers: [89, 2]
Generated Node #3: [89, 2] from Operation: 30/15=2
Current State: 91:[89, 2], Operations: ['57-27=30', '30/15=2']
Exploring Operation: 89+2=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
70,
8,
14,
56
] | 44 | [
"70*8=560",
"56+560=616",
"616/14=44"
] | Current State: 44:[70, 8, 14, 56], Operations: []
Exploring Operation: 70*8=560, Resulting Numbers: [14, 56, 560]
Generated Node #2: [14, 56, 560] from Operation: 70*8=560
Current State: 44:[14, 56, 560], Operations: ['70*8=560']
Exploring Operation: 56+560=616, Resulting Numbers: [14, 616]
Generated Node #3: [14, 616] from Operation: 56+560=616
Current State: 44:[14, 616], Operations: ['70*8=560', '56+560=616']
Exploring Operation: 616/14=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
16,
39,
23,
7
] | 50 | [
"16*7=112",
"39+23=62",
"112-62=50"
] | Current State: 50:[16, 39, 23, 7], Operations: []
Exploring Operation: 16*7=112, Resulting Numbers: [39, 23, 112]
Generated Node #2: [39, 23, 112] from Operation: 16*7=112
Current State: 50:[39, 23, 112], Operations: ['16*7=112']
Exploring Operation: 39+23=62, Resulting Numbers: [112, 62]
Generated Node #3: [112, 62] from Operation: 39+23=62
Current State: 50:[112, 62], Operations: ['16*7=112', '39+23=62']
Exploring Operation: 112-62=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
3,
54,
52,
53
] | 17 | [
"54/3=18",
"53-52=1",
"18-1=17"
] | Current State: 17:[3, 54, 52, 53], Operations: []
Exploring Operation: 54/3=18, Resulting Numbers: [52, 53, 18]
Generated Node #2: [52, 53, 18] from Operation: 54/3=18
Current State: 17:[52, 53, 18], Operations: ['54/3=18']
Exploring Operation: 53-52=1, Resulting Numbers: [18, 1]
Generated Node #3: [18, 1] from Operation: 53-52=1
Current State: 17:[18, 1], Operations: ['54/3=18', '53-52=1']
Exploring Operation: 18-1=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
24,
9,
34,
94
] | 75 | [
"24-9=15",
"94-34=60",
"15+60=75"
] | Current State: 75:[24, 9, 34, 94], Operations: []
Exploring Operation: 24-9=15, Resulting Numbers: [34, 94, 15]
Generated Node #2: [34, 94, 15] from Operation: 24-9=15
Current State: 75:[34, 94, 15], Operations: ['24-9=15']
Exploring Operation: 94-34=60, Resulting Numbers: [15, 60]
Generated Node #3: [15, 60] from Operation: 94-34=60
Current State: 75:[15, 60], Operations: ['24-9=15', '94-34=60']
Exploring Operation: 15+60=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
20,
38,
7,
74
] | 49 | [
"38-20=18",
"74-7=67",
"67-18=49"
] | Current State: 49:[20, 38, 7, 74], Operations: []
Exploring Operation: 38-20=18, Resulting Numbers: [7, 74, 18]
Generated Node #2: [7, 74, 18] from Operation: 38-20=18
Current State: 49:[7, 74, 18], Operations: ['38-20=18']
Exploring Operation: 74-7=67, Resulting Numbers: [18, 67]
Generated Node #3: [18, 67] from Operation: 74-7=67
Current State: 49:[18, 67], Operations: ['38-20=18', '74-7=67']
Exploring Operation: 67-18=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
86,
4,
95,
3
] | 23 | [
"95-86=9",
"3*9=27",
"27-4=23"
] | Current State: 23:[86, 4, 95, 3], Operations: []
Exploring Operation: 95-86=9, Resulting Numbers: [4, 3, 9]
Generated Node #2: [4, 3, 9] from Operation: 95-86=9
Current State: 23:[4, 3, 9], Operations: ['95-86=9']
Exploring Operation: 3*9=27, Resulting Numbers: [4, 27]
Generated Node #3: [4, 27] from Operation: 3*9=27
Current State: 23:[4, 27], Operations: ['95-86=9', '3*9=27']
Exploring Operation: 27-4=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
70,
45,
6,
69
] | 89 | [
"45+69=114",
"114/6=19",
"70+19=89"
] | Current State: 89:[70, 45, 6, 69], Operations: []
Exploring Operation: 45+69=114, Resulting Numbers: [70, 6, 114]
Generated Node #2: [70, 6, 114] from Operation: 45+69=114
Current State: 89:[70, 6, 114], Operations: ['45+69=114']
Exploring Operation: 114/6=19, Resulting Numbers: [70, 19]
Generated Node #3: [70, 19] from Operation: 114/6=19
Current State: 89:[70, 19], Operations: ['45+69=114', '114/6=19']
Exploring Operation: 70+19=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
22,
41,
3,
53
] | 58 | [
"53-41=12",
"3*12=36",
"22+36=58"
] | Current State: 58:[22, 41, 3, 53], Operations: []
Exploring Operation: 53-41=12, Resulting Numbers: [22, 3, 12]
Generated Node #2: [22, 3, 12] from Operation: 53-41=12
Current State: 58:[22, 3, 12], Operations: ['53-41=12']
Exploring Operation: 3*12=36, Resulting Numbers: [22, 36]
Generated Node #3: [22, 36] from Operation: 3*12=36
Current State: 58:[22, 36], Operations: ['53-41=12', '3*12=36']
Exploring Operation: 22+36=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
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