nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
55,
82,
65,
42
] | 87 | [
"55-42=13",
"65/13=5",
"82+5=87"
] | Current State: 87:[55, 82, 65, 42], Operations: []
Exploring Operation: 55-42=13, Resulting Numbers: [82, 65, 13]
Generated Node #2: [82, 65, 13] from Operation: 55-42=13
Current State: 87:[82, 65, 13], Operations: ['55-42=13']
Exploring Operation: 65/13=5, Resulting Numbers: [82, 5]
Generated Node #3: [82, 5] from Operation: 65/13=5
Current State: 87:[82, 5], Operations: ['55-42=13', '65/13=5']
Exploring Operation: 82+5=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
85,
49,
12,
71
] | 51 | [
"85+49=134",
"12+71=83",
"134-83=51"
] | Current State: 51:[85, 49, 12, 71], Operations: []
Exploring Operation: 85+49=134, Resulting Numbers: [12, 71, 134]
Generated Node #2: [12, 71, 134] from Operation: 85+49=134
Current State: 51:[12, 71, 134], Operations: ['85+49=134']
Exploring Operation: 12+71=83, Resulting Numbers: [134, 83]
Generated Node #3: [134, 83] from Operation: 12+71=83
Current State: 51:[134, 83], Operations: ['85+49=134', '12+71=83']
Exploring Operation: 134-83=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
19,
5,
43,
39
] | 75 | [
"43-19=24",
"39-24=15",
"5*15=75"
] | Current State: 75:[19, 5, 43, 39], Operations: []
Exploring Operation: 43-19=24, Resulting Numbers: [5, 39, 24]
Generated Node #2: [5, 39, 24] from Operation: 43-19=24
Current State: 75:[5, 39, 24], Operations: ['43-19=24']
Exploring Operation: 39-24=15, Resulting Numbers: [5, 15]
Generated Node #3: [5, 15] from Operation: 39-24=15
Current State: 75:[5, 15], Operations: ['43-19=24', '39-24=15']
Exploring Operation: 5*15=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
90,
47,
8,
32
] | 39 | [
"90-47=43",
"32/8=4",
"43-4=39"
] | Current State: 39:[90, 47, 8, 32], Operations: []
Exploring Operation: 90-47=43, Resulting Numbers: [8, 32, 43]
Generated Node #2: [8, 32, 43] from Operation: 90-47=43
Current State: 39:[8, 32, 43], Operations: ['90-47=43']
Exploring Operation: 32/8=4, Resulting Numbers: [43, 4]
Generated Node #3: [43, 4] from Operation: 32/8=4
Current State: 39:[43, 4], Operations: ['90-47=43', '32/8=4']
Exploring Operation: 43-4=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
56,
2,
35,
9
] | 60 | [
"56-35=21",
"9+21=30",
"2*30=60"
] | Current State: 60:[56, 2, 35, 9], Operations: []
Exploring Operation: 56-35=21, Resulting Numbers: [2, 9, 21]
Generated Node #2: [2, 9, 21] from Operation: 56-35=21
Current State: 60:[2, 9, 21], Operations: ['56-35=21']
Exploring Operation: 9+21=30, Resulting Numbers: [2, 30]
Generated Node #3: [2, 30] from Operation: 9+21=30
Current State: 60:[2, 30], Operations: ['56-35=21', '9+21=30']
Exploring Operation: 2*30=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
9,
86,
6,
49
] | 40 | [
"9+86=95",
"6+49=55",
"95-55=40"
] | Current State: 40:[9, 86, 6, 49], Operations: []
Exploring Operation: 9+86=95, Resulting Numbers: [6, 49, 95]
Generated Node #2: [6, 49, 95] from Operation: 9+86=95
Current State: 40:[6, 49, 95], Operations: ['9+86=95']
Exploring Operation: 6+49=55, Resulting Numbers: [95, 55]
Generated Node #3: [95, 55] from Operation: 6+49=55
Current State: 40:[95, 55], Operations: ['9+86=95', '6+49=55']
Exploring Operation: 95-55=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
22,
36,
10,
76
] | 26 | [
"76-36=40",
"40/10=4",
"22+4=26"
] | Current State: 26:[22, 36, 10, 76], Operations: []
Exploring Operation: 76-36=40, Resulting Numbers: [22, 10, 40]
Generated Node #2: [22, 10, 40] from Operation: 76-36=40
Current State: 26:[22, 10, 40], Operations: ['76-36=40']
Exploring Operation: 40/10=4, Resulting Numbers: [22, 4]
Generated Node #3: [22, 4] from Operation: 40/10=4
Current State: 26:[22, 4], Operations: ['76-36=40', '40/10=4']
Exploring Operation: 22+4=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
71,
41,
14,
81
] | 89 | [
"71+41=112",
"112/14=8",
"81+8=89"
] | Current State: 89:[71, 41, 14, 81], Operations: []
Exploring Operation: 71+41=112, Resulting Numbers: [14, 81, 112]
Generated Node #2: [14, 81, 112] from Operation: 71+41=112
Current State: 89:[14, 81, 112], Operations: ['71+41=112']
Exploring Operation: 112/14=8, Resulting Numbers: [81, 8]
Generated Node #3: [81, 8] from Operation: 112/14=8
Current State: 89:[81, 8], Operations: ['71+41=112', '112/14=8']
Exploring Operation: 81+8=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
77,
27,
52,
37
] | 74 | [
"77+27=104",
"104/52=2",
"37*2=74"
] | Current State: 74:[77, 27, 52, 37], Operations: []
Exploring Operation: 77+27=104, Resulting Numbers: [52, 37, 104]
Generated Node #2: [52, 37, 104] from Operation: 77+27=104
Current State: 74:[52, 37, 104], Operations: ['77+27=104']
Exploring Operation: 104/52=2, Resulting Numbers: [37, 2]
Generated Node #3: [37, 2] from Operation: 104/52=2
Current State: 74:[37, 2], Operations: ['77+27=104', '104/52=2']
Exploring Operation: 37*2=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
64,
67,
24,
5
] | 67 | [
"67-64=3",
"24*3=72",
"72-5=67"
] | Current State: 67:[64, 67, 24, 5], Operations: []
Exploring Operation: 67-64=3, Resulting Numbers: [24, 5, 3]
Generated Node #2: [24, 5, 3] from Operation: 67-64=3
Current State: 67:[24, 5, 3], Operations: ['67-64=3']
Exploring Operation: 24*3=72, Resulting Numbers: [5, 72]
Generated Node #3: [5, 72] from Operation: 24*3=72
Current State: 67:[5, 72], Operations: ['67-64=3', '24*3=72']
Exploring Operation: 72-5=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
28,
94,
54,
23
] | 91 | [
"28+94=122",
"54-23=31",
"122-31=91"
] | Current State: 91:[28, 94, 54, 23], Operations: []
Exploring Operation: 28+94=122, Resulting Numbers: [54, 23, 122]
Generated Node #2: [54, 23, 122] from Operation: 28+94=122
Current State: 91:[54, 23, 122], Operations: ['28+94=122']
Exploring Operation: 54-23=31, Resulting Numbers: [122, 31]
Generated Node #3: [122, 31] from Operation: 54-23=31
Current State: 91:[122, 31], Operations: ['28+94=122', '54-23=31']
Exploring Operation: 122-31=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
90,
46,
9,
61
] | 84 | [
"90+46=136",
"61-9=52",
"136-52=84"
] | Current State: 84:[90, 46, 9, 61], Operations: []
Exploring Operation: 90+46=136, Resulting Numbers: [9, 61, 136]
Generated Node #2: [9, 61, 136] from Operation: 90+46=136
Current State: 84:[9, 61, 136], Operations: ['90+46=136']
Exploring Operation: 61-9=52, Resulting Numbers: [136, 52]
Generated Node #3: [136, 52] from Operation: 61-9=52
Current State: 84:[136, 52], Operations: ['90+46=136', '61-9=52']
Exploring Operation: 136-52=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
21,
62,
16,
72
] | 15 | [
"62-21=41",
"72-16=56",
"56-41=15"
] | Current State: 15:[21, 62, 16, 72], Operations: []
Exploring Operation: 62-21=41, Resulting Numbers: [16, 72, 41]
Generated Node #2: [16, 72, 41] from Operation: 62-21=41
Current State: 15:[16, 72, 41], Operations: ['62-21=41']
Exploring Operation: 72-16=56, Resulting Numbers: [41, 56]
Generated Node #3: [41, 56] from Operation: 72-16=56
Current State: 15:[41, 56], Operations: ['62-21=41', '72-16=56']
Exploring Operation: 56-41=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
69,
11,
3,
6
] | 82 | [
"69+11=80",
"6/3=2",
"80+2=82"
] | Current State: 82:[69, 11, 3, 6], Operations: []
Exploring Operation: 69+11=80, Resulting Numbers: [3, 6, 80]
Generated Node #2: [3, 6, 80] from Operation: 69+11=80
Current State: 82:[3, 6, 80], Operations: ['69+11=80']
Exploring Operation: 6/3=2, Resulting Numbers: [80, 2]
Generated Node #3: [80, 2] from Operation: 6/3=2
Current State: 82:[80, 2], Operations: ['69+11=80', '6/3=2']
Exploring Operation: 80+2=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
58,
9,
10,
2
] | 79 | [
"58+9=67",
"10+2=12",
"67+12=79"
] | Current State: 79:[58, 9, 10, 2], Operations: []
Exploring Operation: 58+9=67, Resulting Numbers: [10, 2, 67]
Generated Node #2: [10, 2, 67] from Operation: 58+9=67
Current State: 79:[10, 2, 67], Operations: ['58+9=67']
Exploring Operation: 10+2=12, Resulting Numbers: [67, 12]
Generated Node #3: [67, 12] from Operation: 10+2=12
Current State: 79:[67, 12], Operations: ['58+9=67', '10+2=12']
Exploring Operation: 67+12=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
78,
12,
76,
48
] | 62 | [
"78+12=90",
"76-48=28",
"90-28=62"
] | Current State: 62:[78, 12, 76, 48], Operations: []
Exploring Operation: 78+12=90, Resulting Numbers: [76, 48, 90]
Generated Node #2: [76, 48, 90] from Operation: 78+12=90
Current State: 62:[76, 48, 90], Operations: ['78+12=90']
Exploring Operation: 76-48=28, Resulting Numbers: [90, 28]
Generated Node #3: [90, 28] from Operation: 76-48=28
Current State: 62:[90, 28], Operations: ['78+12=90', '76-48=28']
Exploring Operation: 90-28=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
3,
57,
38,
18
] | 37 | [
"57/3=19",
"38+18=56",
"56-19=37"
] | Current State: 37:[3, 57, 38, 18], Operations: []
Exploring Operation: 57/3=19, Resulting Numbers: [38, 18, 19]
Generated Node #2: [38, 18, 19] from Operation: 57/3=19
Current State: 37:[38, 18, 19], Operations: ['57/3=19']
Exploring Operation: 38+18=56, Resulting Numbers: [19, 56]
Generated Node #3: [19, 56] from Operation: 38+18=56
Current State: 37:[19, 56], Operations: ['57/3=19', '38+18=56']
Exploring Operation: 56-19=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
48,
4,
37,
97
] | 27 | [
"48-37=11",
"97+11=108",
"108/4=27"
] | Current State: 27:[48, 4, 37, 97], Operations: []
Exploring Operation: 48-37=11, Resulting Numbers: [4, 97, 11]
Generated Node #2: [4, 97, 11] from Operation: 48-37=11
Current State: 27:[4, 97, 11], Operations: ['48-37=11']
Exploring Operation: 97+11=108, Resulting Numbers: [4, 108]
Generated Node #3: [4, 108] from Operation: 97+11=108
Current State: 27:[4, 108], Operations: ['48-37=11', '97+11=108']
Exploring Operation: 108/4=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
79,
31,
60,
80
] | 90 | [
"79+31=110",
"80-60=20",
"110-20=90"
] | Current State: 90:[79, 31, 60, 80], Operations: []
Exploring Operation: 79+31=110, Resulting Numbers: [60, 80, 110]
Generated Node #2: [60, 80, 110] from Operation: 79+31=110
Current State: 90:[60, 80, 110], Operations: ['79+31=110']
Exploring Operation: 80-60=20, Resulting Numbers: [110, 20]
Generated Node #3: [110, 20] from Operation: 80-60=20
Current State: 90:[110, 20], Operations: ['79+31=110', '80-60=20']
Exploring Operation: 110-20=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
26,
8,
4,
19
] | 77 | [
"26*4=104",
"8+19=27",
"104-27=77"
] | Current State: 77:[26, 8, 4, 19], Operations: []
Exploring Operation: 26*4=104, Resulting Numbers: [8, 19, 104]
Generated Node #2: [8, 19, 104] from Operation: 26*4=104
Current State: 77:[8, 19, 104], Operations: ['26*4=104']
Exploring Operation: 8+19=27, Resulting Numbers: [104, 27]
Generated Node #3: [104, 27] from Operation: 8+19=27
Current State: 77:[104, 27], Operations: ['26*4=104', '8+19=27']
Exploring Operation: 104-27=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
78,
56,
33,
79
] | 90 | [
"78-56=22",
"33+79=112",
"112-22=90"
] | Current State: 90:[78, 56, 33, 79], Operations: []
Exploring Operation: 78-56=22, Resulting Numbers: [33, 79, 22]
Generated Node #2: [33, 79, 22] from Operation: 78-56=22
Current State: 90:[33, 79, 22], Operations: ['78-56=22']
Exploring Operation: 33+79=112, Resulting Numbers: [22, 112]
Generated Node #3: [22, 112] from Operation: 33+79=112
Current State: 90:[22, 112], Operations: ['78-56=22', '33+79=112']
Exploring Operation: 112-22=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
42,
67,
97,
84
] | 96 | [
"42+67=109",
"97-84=13",
"109-13=96"
] | Current State: 96:[42, 67, 97, 84], Operations: []
Exploring Operation: 42+67=109, Resulting Numbers: [97, 84, 109]
Generated Node #2: [97, 84, 109] from Operation: 42+67=109
Current State: 96:[97, 84, 109], Operations: ['42+67=109']
Exploring Operation: 97-84=13, Resulting Numbers: [109, 13]
Generated Node #3: [109, 13] from Operation: 97-84=13
Current State: 96:[109, 13], Operations: ['42+67=109', '97-84=13']
Exploring Operation: 109-13=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
95,
86,
81,
21
] | 51 | [
"95-86=9",
"81-21=60",
"60-9=51"
] | Current State: 51:[95, 86, 81, 21], Operations: []
Exploring Operation: 95-86=9, Resulting Numbers: [81, 21, 9]
Generated Node #2: [81, 21, 9] from Operation: 95-86=9
Current State: 51:[81, 21, 9], Operations: ['95-86=9']
Exploring Operation: 81-21=60, Resulting Numbers: [9, 60]
Generated Node #3: [9, 60] from Operation: 81-21=60
Current State: 51:[9, 60], Operations: ['95-86=9', '81-21=60']
Exploring Operation: 60-9=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
19,
2,
58,
59
] | 68 | [
"19+58=77",
"59+77=136",
"136/2=68"
] | Current State: 68:[19, 2, 58, 59], Operations: []
Exploring Operation: 19+58=77, Resulting Numbers: [2, 59, 77]
Generated Node #2: [2, 59, 77] from Operation: 19+58=77
Current State: 68:[2, 59, 77], Operations: ['19+58=77']
Exploring Operation: 59+77=136, Resulting Numbers: [2, 136]
Generated Node #3: [2, 136] from Operation: 59+77=136
Current State: 68:[2, 136], Operations: ['19+58=77', '59+77=136']
Exploring Operation: 136/2=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
56,
34,
16,
21
] | 98 | [
"56*34=1904",
"1904/16=119",
"119-21=98"
] | Current State: 98:[56, 34, 16, 21], Operations: []
Exploring Operation: 56*34=1904, Resulting Numbers: [16, 21, 1904]
Generated Node #2: [16, 21, 1904] from Operation: 56*34=1904
Current State: 98:[16, 21, 1904], Operations: ['56*34=1904']
Exploring Operation: 1904/16=119, Resulting Numbers: [21, 119]
Generated Node #3: [21, 119] from Operation: 1904/16=119
Current State: 98:[21, 119], Operations: ['56*34=1904', '1904/16=119']
Exploring Operation: 119-21=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
1,
49,
28,
50
] | 29 | [
"1+49=50",
"50/50=1",
"28+1=29"
] | Current State: 29:[1, 49, 28, 50], Operations: []
Exploring Operation: 1+49=50, Resulting Numbers: [28, 50, 50]
Generated Node #2: [28, 50, 50] from Operation: 1+49=50
Current State: 29:[28, 50, 50], Operations: ['1+49=50']
Exploring Operation: 50/50=1, Resulting Numbers: [28, 1]
Generated Node #3: [28, 1] from Operation: 50/50=1
Current State: 29:[28, 1], Operations: ['1+49=50', '50/50=1']
Exploring Operation: 28+1=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
65,
13,
93,
8
] | 76 | [
"93-65=28",
"13*8=104",
"104-28=76"
] | Current State: 76:[65, 13, 93, 8], Operations: []
Exploring Operation: 93-65=28, Resulting Numbers: [13, 8, 28]
Generated Node #2: [13, 8, 28] from Operation: 93-65=28
Current State: 76:[13, 8, 28], Operations: ['93-65=28']
Exploring Operation: 13*8=104, Resulting Numbers: [28, 104]
Generated Node #3: [28, 104] from Operation: 13*8=104
Current State: 76:[28, 104], Operations: ['93-65=28', '13*8=104']
Exploring Operation: 104-28=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
10,
61,
50,
38
] | 59 | [
"10+61=71",
"50-38=12",
"71-12=59"
] | Current State: 59:[10, 61, 50, 38], Operations: []
Exploring Operation: 10+61=71, Resulting Numbers: [50, 38, 71]
Generated Node #2: [50, 38, 71] from Operation: 10+61=71
Current State: 59:[50, 38, 71], Operations: ['10+61=71']
Exploring Operation: 50-38=12, Resulting Numbers: [71, 12]
Generated Node #3: [71, 12] from Operation: 50-38=12
Current State: 59:[71, 12], Operations: ['10+61=71', '50-38=12']
Exploring Operation: 71-12=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
44,
16,
48,
16
] | 41 | [
"44*16=704",
"704-48=656",
"656/16=41"
] | Current State: 41:[44, 16, 48, 16], Operations: []
Exploring Operation: 44*16=704, Resulting Numbers: [48, 704]
Generated Node #2: [48, 704] from Operation: 44*16=704
Current State: 41:[48, 704], Operations: ['44*16=704']
Exploring Operation: 704-48=656, Resulting Numbers: [656]
656,41 equal: Goal Reached
Exploring Operation: 656/16=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
1,
97,
59,
43
] | 80 | [
"97-1=96",
"59-43=16",
"96-16=80"
] | Current State: 80:[1, 97, 59, 43], Operations: []
Exploring Operation: 97-1=96, Resulting Numbers: [59, 43, 96]
Generated Node #2: [59, 43, 96] from Operation: 97-1=96
Current State: 80:[59, 43, 96], Operations: ['97-1=96']
Exploring Operation: 59-43=16, Resulting Numbers: [96, 16]
Generated Node #3: [96, 16] from Operation: 59-43=16
Current State: 80:[96, 16], Operations: ['97-1=96', '59-43=16']
Exploring Operation: 96-16=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
27,
66,
94,
37
] | 47 | [
"66-27=39",
"39-37=2",
"94/2=47"
] | Current State: 47:[27, 66, 94, 37], Operations: []
Exploring Operation: 66-27=39, Resulting Numbers: [94, 37, 39]
Generated Node #2: [94, 37, 39] from Operation: 66-27=39
Current State: 47:[94, 37, 39], Operations: ['66-27=39']
Exploring Operation: 39-37=2, Resulting Numbers: [94, 2]
Generated Node #3: [94, 2] from Operation: 39-37=2
Current State: 47:[94, 2], Operations: ['66-27=39', '39-37=2']
Exploring Operation: 94/2=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
9,
7,
2,
39
] | 34 | [
"9+39=48",
"7*2=14",
"48-14=34"
] | Current State: 34:[9, 7, 2, 39], Operations: []
Exploring Operation: 9+39=48, Resulting Numbers: [7, 2, 48]
Generated Node #2: [7, 2, 48] from Operation: 9+39=48
Current State: 34:[7, 2, 48], Operations: ['9+39=48']
Exploring Operation: 7*2=14, Resulting Numbers: [48, 14]
Generated Node #3: [48, 14] from Operation: 7*2=14
Current State: 34:[48, 14], Operations: ['9+39=48', '7*2=14']
Exploring Operation: 48-14=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
48,
52,
15,
78
] | 37 | [
"48+52=100",
"78-15=63",
"100-63=37"
] | Current State: 37:[48, 52, 15, 78], Operations: []
Exploring Operation: 48+52=100, Resulting Numbers: [15, 78, 100]
Generated Node #2: [15, 78, 100] from Operation: 48+52=100
Current State: 37:[15, 78, 100], Operations: ['48+52=100']
Exploring Operation: 78-15=63, Resulting Numbers: [100, 63]
Generated Node #3: [100, 63] from Operation: 78-15=63
Current State: 37:[100, 63], Operations: ['48+52=100', '78-15=63']
Exploring Operation: 100-63=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
87,
76,
19,
2
] | 27 | [
"87-76=11",
"19*2=38",
"38-11=27"
] | Current State: 27:[87, 76, 19, 2], Operations: []
Exploring Operation: 87-76=11, Resulting Numbers: [19, 2, 11]
Generated Node #2: [19, 2, 11] from Operation: 87-76=11
Current State: 27:[19, 2, 11], Operations: ['87-76=11']
Exploring Operation: 19*2=38, Resulting Numbers: [11, 38]
Generated Node #3: [11, 38] from Operation: 19*2=38
Current State: 27:[11, 38], Operations: ['87-76=11', '19*2=38']
Exploring Operation: 38-11=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
23,
98,
43,
59
] | 27 | [
"98-23=75",
"43+59=102",
"102-75=27"
] | Current State: 27:[23, 98, 43, 59], Operations: []
Exploring Operation: 98-23=75, Resulting Numbers: [43, 59, 75]
Generated Node #2: [43, 59, 75] from Operation: 98-23=75
Current State: 27:[43, 59, 75], Operations: ['98-23=75']
Exploring Operation: 43+59=102, Resulting Numbers: [75, 102]
Generated Node #3: [75, 102] from Operation: 43+59=102
Current State: 27:[75, 102], Operations: ['98-23=75', '43+59=102']
Exploring Operation: 102-75=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
99,
31,
32,
84
] | 48 | [
"99-31=68",
"32+84=116",
"116-68=48"
] | Current State: 48:[99, 31, 32, 84], Operations: []
Exploring Operation: 99-31=68, Resulting Numbers: [32, 84, 68]
Generated Node #2: [32, 84, 68] from Operation: 99-31=68
Current State: 48:[32, 84, 68], Operations: ['99-31=68']
Exploring Operation: 32+84=116, Resulting Numbers: [68, 116]
Generated Node #3: [68, 116] from Operation: 32+84=116
Current State: 48:[68, 116], Operations: ['99-31=68', '32+84=116']
Exploring Operation: 116-68=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
34,
67,
10,
63
] | 48 | [
"34+67=101",
"63-10=53",
"101-53=48"
] | Current State: 48:[34, 67, 10, 63], Operations: []
Exploring Operation: 34+67=101, Resulting Numbers: [10, 63, 101]
Generated Node #2: [10, 63, 101] from Operation: 34+67=101
Current State: 48:[10, 63, 101], Operations: ['34+67=101']
Exploring Operation: 63-10=53, Resulting Numbers: [101, 53]
Generated Node #3: [101, 53] from Operation: 63-10=53
Current State: 48:[101, 53], Operations: ['34+67=101', '63-10=53']
Exploring Operation: 101-53=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
51,
34,
35,
2
] | 15 | [
"51+34=85",
"35*2=70",
"85-70=15"
] | Current State: 15:[51, 34, 35, 2], Operations: []
Exploring Operation: 51+34=85, Resulting Numbers: [35, 2, 85]
Generated Node #2: [35, 2, 85] from Operation: 51+34=85
Current State: 15:[35, 2, 85], Operations: ['51+34=85']
Exploring Operation: 35*2=70, Resulting Numbers: [85, 70]
Generated Node #3: [85, 70] from Operation: 35*2=70
Current State: 15:[85, 70], Operations: ['51+34=85', '35*2=70']
Exploring Operation: 85-70=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
27,
26,
31,
19
] | 11 | [
"27-26=1",
"31-19=12",
"12-1=11"
] | Current State: 11:[27, 26, 31, 19], Operations: []
Exploring Operation: 27-26=1, Resulting Numbers: [31, 19, 1]
Generated Node #2: [31, 19, 1] from Operation: 27-26=1
Current State: 11:[31, 19, 1], Operations: ['27-26=1']
Exploring Operation: 31-19=12, Resulting Numbers: [1, 12]
Generated Node #3: [1, 12] from Operation: 31-19=12
Current State: 11:[1, 12], Operations: ['27-26=1', '31-19=12']
Exploring Operation: 12-1=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
42,
53,
44,
84
] | 33 | [
"42+53=95",
"44+84=128",
"128-95=33"
] | Current State: 33:[42, 53, 44, 84], Operations: []
Exploring Operation: 42+53=95, Resulting Numbers: [44, 84, 95]
Generated Node #2: [44, 84, 95] from Operation: 42+53=95
Current State: 33:[44, 84, 95], Operations: ['42+53=95']
Exploring Operation: 44+84=128, Resulting Numbers: [95, 128]
Generated Node #3: [95, 128] from Operation: 44+84=128
Current State: 33:[95, 128], Operations: ['42+53=95', '44+84=128']
Exploring Operation: 128-95=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
5,
72,
94,
12
] | 95 | [
"94-5=89",
"72/12=6",
"89+6=95"
] | Current State: 95:[5, 72, 94, 12], Operations: []
Exploring Operation: 94-5=89, Resulting Numbers: [72, 12, 89]
Generated Node #2: [72, 12, 89] from Operation: 94-5=89
Current State: 95:[72, 12, 89], Operations: ['94-5=89']
Exploring Operation: 72/12=6, Resulting Numbers: [89, 6]
Generated Node #3: [89, 6] from Operation: 72/12=6
Current State: 95:[89, 6], Operations: ['94-5=89', '72/12=6']
Exploring Operation: 89+6=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
86,
86,
56,
36
] | 56 | [
"86-86=0",
"36*0=0",
"56+0=56"
] | Current State: 56:[86, 86, 56, 36], Operations: []
Exploring Operation: 86-86=0, Resulting Numbers: [56, 36, 0]
Generated Node #2: [56, 36, 0] from Operation: 86-86=0
Current State: 56:[56, 36, 0], Operations: ['86-86=0']
Exploring Operation: 36*0=0, Resulting Numbers: [56, 0]
Generated Node #3: [56, 0] from Operation: 36*0=0
Current State: 56:[56, 0], Operations: ['86-86=0', '36*0=0']
Exploring Operation: 56+0=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
7,
6,
75,
27
] | 15 | [
"75-27=48",
"48/6=8",
"7+8=15"
] | Current State: 15:[7, 6, 75, 27], Operations: []
Exploring Operation: 75-27=48, Resulting Numbers: [7, 6, 48]
Generated Node #2: [7, 6, 48] from Operation: 75-27=48
Current State: 15:[7, 6, 48], Operations: ['75-27=48']
Exploring Operation: 48/6=8, Resulting Numbers: [7, 8]
Generated Node #3: [7, 8] from Operation: 48/6=8
Current State: 15:[7, 8], Operations: ['75-27=48', '48/6=8']
Exploring Operation: 7+8=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
69,
67,
2,
21
] | 23 | [
"67-21=46",
"2*46=92",
"92-69=23"
] | Current State: 23:[69, 67, 2, 21], Operations: []
Exploring Operation: 67-21=46, Resulting Numbers: [69, 2, 46]
Generated Node #2: [69, 2, 46] from Operation: 67-21=46
Current State: 23:[69, 2, 46], Operations: ['67-21=46']
Exploring Operation: 2*46=92, Resulting Numbers: [69, 92]
Generated Node #3: [69, 92] from Operation: 2*46=92
Current State: 23:[69, 92], Operations: ['67-21=46', '2*46=92']
Exploring Operation: 92-69=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
41,
72,
96,
52
] | 24 | [
"96-41=55",
"55-52=3",
"72/3=24"
] | Current State: 24:[41, 72, 96, 52], Operations: []
Exploring Operation: 96-41=55, Resulting Numbers: [72, 52, 55]
Generated Node #2: [72, 52, 55] from Operation: 96-41=55
Current State: 24:[72, 52, 55], Operations: ['96-41=55']
Exploring Operation: 55-52=3, Resulting Numbers: [72, 3]
Generated Node #3: [72, 3] from Operation: 55-52=3
Current State: 24:[72, 3], Operations: ['96-41=55', '55-52=3']
Exploring Operation: 72/3=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
46,
33,
78,
89
] | 68 | [
"46+33=79",
"89-78=11",
"79-11=68"
] | Current State: 68:[46, 33, 78, 89], Operations: []
Exploring Operation: 46+33=79, Resulting Numbers: [78, 89, 79]
Generated Node #2: [78, 89, 79] from Operation: 46+33=79
Current State: 68:[78, 89, 79], Operations: ['46+33=79']
Exploring Operation: 89-78=11, Resulting Numbers: [79, 11]
Generated Node #3: [79, 11] from Operation: 89-78=11
Current State: 68:[79, 11], Operations: ['46+33=79', '89-78=11']
Exploring Operation: 79-11=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
30,
75,
19,
27
] | 37 | [
"75-30=45",
"27-19=8",
"45-8=37"
] | Current State: 37:[30, 75, 19, 27], Operations: []
Exploring Operation: 75-30=45, Resulting Numbers: [19, 27, 45]
Generated Node #2: [19, 27, 45] from Operation: 75-30=45
Current State: 37:[19, 27, 45], Operations: ['75-30=45']
Exploring Operation: 27-19=8, Resulting Numbers: [45, 8]
Generated Node #3: [45, 8] from Operation: 27-19=8
Current State: 37:[45, 8], Operations: ['75-30=45', '27-19=8']
Exploring Operation: 45-8=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
78,
72,
69,
56
] | 25 | [
"78+72=150",
"69+56=125",
"150-125=25"
] | Current State: 25:[78, 72, 69, 56], Operations: []
Exploring Operation: 78+72=150, Resulting Numbers: [69, 56, 150]
Generated Node #2: [69, 56, 150] from Operation: 78+72=150
Current State: 25:[69, 56, 150], Operations: ['78+72=150']
Exploring Operation: 69+56=125, Resulting Numbers: [150, 125]
Generated Node #3: [150, 125] from Operation: 69+56=125
Current State: 25:[150, 125], Operations: ['78+72=150', '69+56=125']
Exploring Operation: 150-125=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
11,
28,
17,
7
] | 57 | [
"28*17=476",
"476/7=68",
"68-11=57"
] | Current State: 57:[11, 28, 17, 7], Operations: []
Exploring Operation: 28*17=476, Resulting Numbers: [11, 7, 476]
Generated Node #2: [11, 7, 476] from Operation: 28*17=476
Current State: 57:[11, 7, 476], Operations: ['28*17=476']
Exploring Operation: 476/7=68, Resulting Numbers: [11, 68]
Generated Node #3: [11, 68] from Operation: 476/7=68
Current State: 57:[11, 68], Operations: ['28*17=476', '476/7=68']
Exploring Operation: 68-11=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
5,
56,
50,
42
] | 88 | [
"50/5=10",
"56+42=98",
"98-10=88"
] | Current State: 88:[5, 56, 50, 42], Operations: []
Exploring Operation: 50/5=10, Resulting Numbers: [56, 42, 10]
Generated Node #2: [56, 42, 10] from Operation: 50/5=10
Current State: 88:[56, 42, 10], Operations: ['50/5=10']
Exploring Operation: 56+42=98, Resulting Numbers: [10, 98]
Generated Node #3: [10, 98] from Operation: 56+42=98
Current State: 88:[10, 98], Operations: ['50/5=10', '56+42=98']
Exploring Operation: 98-10=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
65,
67,
70,
28
] | 21 | [
"67-65=2",
"70-28=42",
"42/2=21"
] | Current State: 21:[65, 67, 70, 28], Operations: []
Exploring Operation: 67-65=2, Resulting Numbers: [70, 28, 2]
Generated Node #2: [70, 28, 2] from Operation: 67-65=2
Current State: 21:[70, 28, 2], Operations: ['67-65=2']
Exploring Operation: 70-28=42, Resulting Numbers: [2, 42]
Generated Node #3: [2, 42] from Operation: 70-28=42
Current State: 21:[2, 42], Operations: ['67-65=2', '70-28=42']
Exploring Operation: 42/2=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
59,
99,
33,
10
] | 72 | [
"59+10=69",
"99/33=3",
"69+3=72"
] | Current State: 72:[59, 99, 33, 10], Operations: []
Exploring Operation: 59+10=69, Resulting Numbers: [99, 33, 69]
Generated Node #2: [99, 33, 69] from Operation: 59+10=69
Current State: 72:[99, 33, 69], Operations: ['59+10=69']
Exploring Operation: 99/33=3, Resulting Numbers: [69, 3]
Generated Node #3: [69, 3] from Operation: 99/33=3
Current State: 72:[69, 3], Operations: ['59+10=69', '99/33=3']
Exploring Operation: 69+3=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
82,
82,
60,
5
] | 56 | [
"82/82=1",
"60-5=55",
"1+55=56"
] | Current State: 56:[82, 82, 60, 5], Operations: []
Exploring Operation: 82/82=1, Resulting Numbers: [60, 5, 1]
Generated Node #2: [60, 5, 1] from Operation: 82/82=1
Current State: 56:[60, 5, 1], Operations: ['82/82=1']
Exploring Operation: 60-5=55, Resulting Numbers: [1, 55]
Generated Node #3: [1, 55] from Operation: 60-5=55
Current State: 56:[1, 55], Operations: ['82/82=1', '60-5=55']
Exploring Operation: 1+55=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
9,
1,
6,
20
] | 29 | [
"9*20=180",
"180/6=30",
"30-1=29"
] | Current State: 29:[9, 1, 6, 20], Operations: []
Exploring Operation: 9*20=180, Resulting Numbers: [1, 6, 180]
Generated Node #2: [1, 6, 180] from Operation: 9*20=180
Current State: 29:[1, 6, 180], Operations: ['9*20=180']
Exploring Operation: 180/6=30, Resulting Numbers: [1, 30]
Generated Node #3: [1, 30] from Operation: 180/6=30
Current State: 29:[1, 30], Operations: ['9*20=180', '180/6=30']
Exploring Operation: 30-1=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
10,
6,
84,
42
] | 17 | [
"84-42=42",
"42/6=7",
"10+7=17"
] | Current State: 17:[10, 6, 84, 42], Operations: []
Exploring Operation: 84-42=42, Resulting Numbers: [10, 6, 42]
Generated Node #2: [10, 6, 42] from Operation: 84-42=42
Current State: 17:[10, 6, 42], Operations: ['84-42=42']
Exploring Operation: 42/6=7, Resulting Numbers: [10, 7]
Generated Node #3: [10, 7] from Operation: 42/6=7
Current State: 17:[10, 7], Operations: ['84-42=42', '42/6=7']
Exploring Operation: 10+7=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
29,
73,
6,
66
] | 71 | [
"73-66=7",
"6*7=42",
"29+42=71"
] | Current State: 71:[29, 73, 6, 66], Operations: []
Exploring Operation: 73-66=7, Resulting Numbers: [29, 6, 7]
Generated Node #2: [29, 6, 7] from Operation: 73-66=7
Current State: 71:[29, 6, 7], Operations: ['73-66=7']
Exploring Operation: 6*7=42, Resulting Numbers: [29, 42]
Generated Node #3: [29, 42] from Operation: 6*7=42
Current State: 71:[29, 42], Operations: ['73-66=7', '6*7=42']
Exploring Operation: 29+42=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
57,
14,
21,
7
] | 27 | [
"57*7=399",
"399-21=378",
"378/14=27"
] | Current State: 27:[57, 14, 21, 7], Operations: []
Exploring Operation: 57*7=399, Resulting Numbers: [14, 21, 399]
Generated Node #2: [14, 21, 399] from Operation: 57*7=399
Current State: 27:[14, 21, 399], Operations: ['57*7=399']
Exploring Operation: 399-21=378, Resulting Numbers: [14, 378]
Generated Node #3: [14, 378] from Operation: 399-21=378
Current State: 27:[14, 378], Operations: ['57*7=399', '399-21=378']
Exploring Operation: 378/14=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
85,
24,
79,
42
] | 60 | [
"85-24=61",
"79+42=121",
"121-61=60"
] | Current State: 60:[85, 24, 79, 42], Operations: []
Exploring Operation: 85-24=61, Resulting Numbers: [79, 42, 61]
Generated Node #2: [79, 42, 61] from Operation: 85-24=61
Current State: 60:[79, 42, 61], Operations: ['85-24=61']
Exploring Operation: 79+42=121, Resulting Numbers: [61, 121]
Generated Node #3: [61, 121] from Operation: 79+42=121
Current State: 60:[61, 121], Operations: ['85-24=61', '79+42=121']
Exploring Operation: 121-61=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
75,
52,
96,
39
] | 70 | [
"75+52=127",
"96-39=57",
"127-57=70"
] | Current State: 70:[75, 52, 96, 39], Operations: []
Exploring Operation: 75+52=127, Resulting Numbers: [96, 39, 127]
Generated Node #2: [96, 39, 127] from Operation: 75+52=127
Current State: 70:[96, 39, 127], Operations: ['75+52=127']
Exploring Operation: 96-39=57, Resulting Numbers: [127, 57]
Generated Node #3: [127, 57] from Operation: 96-39=57
Current State: 70:[127, 57], Operations: ['75+52=127', '96-39=57']
Exploring Operation: 127-57=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
70,
63,
36,
98
] | 58 | [
"70*36=2520",
"2520/63=40",
"98-40=58"
] | Current State: 58:[70, 63, 36, 98], Operations: []
Exploring Operation: 70*36=2520, Resulting Numbers: [63, 98, 2520]
Generated Node #2: [63, 98, 2520] from Operation: 70*36=2520
Current State: 58:[63, 98, 2520], Operations: ['70*36=2520']
Exploring Operation: 2520/63=40, Resulting Numbers: [98, 40]
Generated Node #3: [98, 40] from Operation: 2520/63=40
Current State: 58:[98, 40], Operations: ['70*36=2520', '2520/63=40']
Exploring Operation: 98-40=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
63,
54,
64,
31
] | 85 | [
"64-63=1",
"54+31=85",
"1*85=85"
] | Current State: 85:[63, 54, 64, 31], Operations: []
Exploring Operation: 64-63=1, Resulting Numbers: [54, 31, 1]
Generated Node #2: [54, 31, 1] from Operation: 64-63=1
Current State: 85:[54, 31, 1], Operations: ['64-63=1']
Exploring Operation: 54+31=85, Resulting Numbers: [1, 85]
Generated Node #3: [1, 85] from Operation: 54+31=85
Current State: 85:[1, 85], Operations: ['64-63=1', '54+31=85']
Exploring Operation: 1*85=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
31,
19,
44,
9
] | 21 | [
"31-9=22",
"44/22=2",
"19+2=21"
] | Current State: 21:[31, 19, 44, 9], Operations: []
Exploring Operation: 31-9=22, Resulting Numbers: [19, 44, 22]
Generated Node #2: [19, 44, 22] from Operation: 31-9=22
Current State: 21:[19, 44, 22], Operations: ['31-9=22']
Exploring Operation: 44/22=2, Resulting Numbers: [19, 2]
Generated Node #3: [19, 2] from Operation: 44/22=2
Current State: 21:[19, 2], Operations: ['31-9=22', '44/22=2']
Exploring Operation: 19+2=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
79,
28,
20,
11
] | 20 | [
"79-28=51",
"20+11=31",
"51-31=20"
] | Current State: 20:[79, 28, 20, 11], Operations: []
Exploring Operation: 79-28=51, Resulting Numbers: [20, 11, 51]
Generated Node #2: [20, 11, 51] from Operation: 79-28=51
Current State: 20:[20, 11, 51], Operations: ['79-28=51']
Exploring Operation: 20+11=31, Resulting Numbers: [51, 31]
Generated Node #3: [51, 31] from Operation: 20+11=31
Current State: 20:[51, 31], Operations: ['79-28=51', '20+11=31']
Exploring Operation: 51-31=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
50,
4,
21,
66
] | 25 | [
"66-50=16",
"16/4=4",
"21+4=25"
] | Current State: 25:[50, 4, 21, 66], Operations: []
Exploring Operation: 66-50=16, Resulting Numbers: [4, 21, 16]
Generated Node #2: [4, 21, 16] from Operation: 66-50=16
Current State: 25:[4, 21, 16], Operations: ['66-50=16']
Exploring Operation: 16/4=4, Resulting Numbers: [21, 4]
Generated Node #3: [21, 4] from Operation: 16/4=4
Current State: 25:[21, 4], Operations: ['66-50=16', '16/4=4']
Exploring Operation: 21+4=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
61,
88,
98,
93
] | 63 | [
"88+98=186",
"186/93=2",
"61+2=63"
] | Current State: 63:[61, 88, 98, 93], Operations: []
Exploring Operation: 88+98=186, Resulting Numbers: [61, 93, 186]
Generated Node #2: [61, 93, 186] from Operation: 88+98=186
Current State: 63:[61, 93, 186], Operations: ['88+98=186']
Exploring Operation: 186/93=2, Resulting Numbers: [61, 2]
Generated Node #3: [61, 2] from Operation: 186/93=2
Current State: 63:[61, 2], Operations: ['88+98=186', '186/93=2']
Exploring Operation: 61+2=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
92,
62,
14,
47
] | 31 | [
"92-62=30",
"14+47=61",
"61-30=31"
] | Current State: 31:[92, 62, 14, 47], Operations: []
Exploring Operation: 92-62=30, Resulting Numbers: [14, 47, 30]
Generated Node #2: [14, 47, 30] from Operation: 92-62=30
Current State: 31:[14, 47, 30], Operations: ['92-62=30']
Exploring Operation: 14+47=61, Resulting Numbers: [30, 61]
Generated Node #3: [30, 61] from Operation: 14+47=61
Current State: 31:[30, 61], Operations: ['92-62=30', '14+47=61']
Exploring Operation: 61-30=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
3,
69,
67,
72
] | 26 | [
"72/3=24",
"69-67=2",
"24+2=26"
] | Current State: 26:[3, 69, 67, 72], Operations: []
Exploring Operation: 72/3=24, Resulting Numbers: [69, 67, 24]
Generated Node #2: [69, 67, 24] from Operation: 72/3=24
Current State: 26:[69, 67, 24], Operations: ['72/3=24']
Exploring Operation: 69-67=2, Resulting Numbers: [24, 2]
Generated Node #3: [24, 2] from Operation: 69-67=2
Current State: 26:[24, 2], Operations: ['72/3=24', '69-67=2']
Exploring Operation: 24+2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
70,
1,
24,
7
] | 66 | [
"7-1=6",
"24/6=4",
"70-4=66"
] | Current State: 66:[70, 1, 24, 7], Operations: []
Exploring Operation: 7-1=6, Resulting Numbers: [70, 24, 6]
Generated Node #2: [70, 24, 6] from Operation: 7-1=6
Current State: 66:[70, 24, 6], Operations: ['7-1=6']
Exploring Operation: 24/6=4, Resulting Numbers: [70, 4]
Generated Node #3: [70, 4] from Operation: 24/6=4
Current State: 66:[70, 4], Operations: ['7-1=6', '24/6=4']
Exploring Operation: 70-4=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
3,
69,
93,
20
] | 96 | [
"69/3=23",
"93-20=73",
"23+73=96"
] | Current State: 96:[3, 69, 93, 20], Operations: []
Exploring Operation: 69/3=23, Resulting Numbers: [93, 20, 23]
Generated Node #2: [93, 20, 23] from Operation: 69/3=23
Current State: 96:[93, 20, 23], Operations: ['69/3=23']
Exploring Operation: 93-20=73, Resulting Numbers: [23, 73]
Generated Node #3: [23, 73] from Operation: 93-20=73
Current State: 96:[23, 73], Operations: ['69/3=23', '93-20=73']
Exploring Operation: 23+73=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
57,
74,
21,
51
] | 47 | [
"74-57=17",
"51-21=30",
"17+30=47"
] | Current State: 47:[57, 74, 21, 51], Operations: []
Exploring Operation: 74-57=17, Resulting Numbers: [21, 51, 17]
Generated Node #2: [21, 51, 17] from Operation: 74-57=17
Current State: 47:[21, 51, 17], Operations: ['74-57=17']
Exploring Operation: 51-21=30, Resulting Numbers: [17, 30]
Generated Node #3: [17, 30] from Operation: 51-21=30
Current State: 47:[17, 30], Operations: ['74-57=17', '51-21=30']
Exploring Operation: 17+30=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
84,
43,
70,
21
] | 23 | [
"84/21=4",
"70-43=27",
"27-4=23"
] | Current State: 23:[84, 43, 70, 21], Operations: []
Exploring Operation: 84/21=4, Resulting Numbers: [43, 70, 4]
Generated Node #2: [43, 70, 4] from Operation: 84/21=4
Current State: 23:[43, 70, 4], Operations: ['84/21=4']
Exploring Operation: 70-43=27, Resulting Numbers: [4, 27]
Generated Node #3: [4, 27] from Operation: 70-43=27
Current State: 23:[4, 27], Operations: ['84/21=4', '70-43=27']
Exploring Operation: 27-4=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
62,
7,
46,
6
] | 11 | [
"62+46=108",
"108/6=18",
"18-7=11"
] | Current State: 11:[62, 7, 46, 6], Operations: []
Exploring Operation: 62+46=108, Resulting Numbers: [7, 6, 108]
Generated Node #2: [7, 6, 108] from Operation: 62+46=108
Current State: 11:[7, 6, 108], Operations: ['62+46=108']
Exploring Operation: 108/6=18, Resulting Numbers: [7, 18]
Generated Node #3: [7, 18] from Operation: 108/6=18
Current State: 11:[7, 18], Operations: ['62+46=108', '108/6=18']
Exploring Operation: 18-7=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
88,
22,
66,
65
] | 21 | [
"88+22=110",
"66+65=131",
"131-110=21"
] | Current State: 21:[88, 22, 66, 65], Operations: []
Exploring Operation: 88+22=110, Resulting Numbers: [66, 65, 110]
Generated Node #2: [66, 65, 110] from Operation: 88+22=110
Current State: 21:[66, 65, 110], Operations: ['88+22=110']
Exploring Operation: 66+65=131, Resulting Numbers: [110, 131]
Generated Node #3: [110, 131] from Operation: 66+65=131
Current State: 21:[110, 131], Operations: ['88+22=110', '66+65=131']
Exploring Operation: 131-110=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
46,
93,
31,
45
] | 88 | [
"46+45=91",
"93/31=3",
"91-3=88"
] | Current State: 88:[46, 93, 31, 45], Operations: []
Exploring Operation: 46+45=91, Resulting Numbers: [93, 31, 91]
Generated Node #2: [93, 31, 91] from Operation: 46+45=91
Current State: 88:[93, 31, 91], Operations: ['46+45=91']
Exploring Operation: 93/31=3, Resulting Numbers: [91, 3]
Generated Node #3: [91, 3] from Operation: 93/31=3
Current State: 88:[91, 3], Operations: ['46+45=91', '93/31=3']
Exploring Operation: 91-3=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
30,
44,
4,
44
] | 26 | [
"30+44=74",
"4+44=48",
"74-48=26"
] | Current State: 26:[30, 44, 4, 44], Operations: []
Exploring Operation: 30+44=74, Resulting Numbers: [4, 74]
Generated Node #2: [4, 74] from Operation: 30+44=74
Current State: 26:[4, 74], Operations: ['30+44=74']
Exploring Operation: 4+44=48, Resulting Numbers: [74, 48]
Generated Node #3: [74, 48] from Operation: 4+44=48
Current State: 26:[74, 48], Operations: ['30+44=74', '4+44=48']
Exploring Operation: 74-48=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
25,
15,
61,
79
] | 100 | [
"25+15=40",
"61+79=140",
"140-40=100"
] | Current State: 100:[25, 15, 61, 79], Operations: []
Exploring Operation: 25+15=40, Resulting Numbers: [61, 79, 40]
Generated Node #2: [61, 79, 40] from Operation: 25+15=40
Current State: 100:[61, 79, 40], Operations: ['25+15=40']
Exploring Operation: 61+79=140, Resulting Numbers: [40, 140]
Generated Node #3: [40, 140] from Operation: 61+79=140
Current State: 100:[40, 140], Operations: ['25+15=40', '61+79=140']
Exploring Operation: 140-40=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
7,
2,
60,
10
] | 87 | [
"7+60=67",
"2*10=20",
"67+20=87"
] | Current State: 87:[7, 2, 60, 10], Operations: []
Exploring Operation: 7+60=67, Resulting Numbers: [2, 10, 67]
Generated Node #2: [2, 10, 67] from Operation: 7+60=67
Current State: 87:[2, 10, 67], Operations: ['7+60=67']
Exploring Operation: 2*10=20, Resulting Numbers: [67, 20]
Generated Node #3: [67, 20] from Operation: 2*10=20
Current State: 87:[67, 20], Operations: ['7+60=67', '2*10=20']
Exploring Operation: 67+20=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
19,
58,
35,
39
] | 36 | [
"58-19=39",
"39/39=1",
"35+1=36"
] | Current State: 36:[19, 58, 35, 39], Operations: []
Exploring Operation: 58-19=39, Resulting Numbers: [35, 39, 39]
Generated Node #2: [35, 39, 39] from Operation: 58-19=39
Current State: 36:[35, 39, 39], Operations: ['58-19=39']
Exploring Operation: 39/39=1, Resulting Numbers: [35, 1]
Generated Node #3: [35, 1] from Operation: 39/39=1
Current State: 36:[35, 1], Operations: ['58-19=39', '39/39=1']
Exploring Operation: 35+1=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
34,
61,
25,
1
] | 71 | [
"34+61=95",
"25-1=24",
"95-24=71"
] | Current State: 71:[34, 61, 25, 1], Operations: []
Exploring Operation: 34+61=95, Resulting Numbers: [25, 1, 95]
Generated Node #2: [25, 1, 95] from Operation: 34+61=95
Current State: 71:[25, 1, 95], Operations: ['34+61=95']
Exploring Operation: 25-1=24, Resulting Numbers: [95, 24]
Generated Node #3: [95, 24] from Operation: 25-1=24
Current State: 71:[95, 24], Operations: ['34+61=95', '25-1=24']
Exploring Operation: 95-24=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
32,
83,
65,
98
] | 81 | [
"32+98=130",
"130/65=2",
"83-2=81"
] | Current State: 81:[32, 83, 65, 98], Operations: []
Exploring Operation: 32+98=130, Resulting Numbers: [83, 65, 130]
Generated Node #2: [83, 65, 130] from Operation: 32+98=130
Current State: 81:[83, 65, 130], Operations: ['32+98=130']
Exploring Operation: 130/65=2, Resulting Numbers: [83, 2]
Generated Node #3: [83, 2] from Operation: 130/65=2
Current State: 81:[83, 2], Operations: ['32+98=130', '130/65=2']
Exploring Operation: 83-2=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
46,
44,
89,
26
] | 27 | [
"46+44=90",
"89-26=63",
"90-63=27"
] | Current State: 27:[46, 44, 89, 26], Operations: []
Exploring Operation: 46+44=90, Resulting Numbers: [89, 26, 90]
Generated Node #2: [89, 26, 90] from Operation: 46+44=90
Current State: 27:[89, 26, 90], Operations: ['46+44=90']
Exploring Operation: 89-26=63, Resulting Numbers: [90, 63]
Generated Node #3: [90, 63] from Operation: 89-26=63
Current State: 27:[90, 63], Operations: ['46+44=90', '89-26=63']
Exploring Operation: 90-63=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
64,
76,
29,
33
] | 74 | [
"76-64=12",
"29+33=62",
"12+62=74"
] | Current State: 74:[64, 76, 29, 33], Operations: []
Exploring Operation: 76-64=12, Resulting Numbers: [29, 33, 12]
Generated Node #2: [29, 33, 12] from Operation: 76-64=12
Current State: 74:[29, 33, 12], Operations: ['76-64=12']
Exploring Operation: 29+33=62, Resulting Numbers: [12, 62]
Generated Node #3: [12, 62] from Operation: 29+33=62
Current State: 74:[12, 62], Operations: ['76-64=12', '29+33=62']
Exploring Operation: 12+62=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
67,
28,
80,
51
] | 67 | [
"80-28=52",
"52-51=1",
"67*1=67"
] | Current State: 67:[67, 28, 80, 51], Operations: []
Exploring Operation: 80-28=52, Resulting Numbers: [67, 51, 52]
Generated Node #2: [67, 51, 52] from Operation: 80-28=52
Current State: 67:[67, 51, 52], Operations: ['80-28=52']
Exploring Operation: 52-51=1, Resulting Numbers: [67, 1]
Generated Node #3: [67, 1] from Operation: 52-51=1
Current State: 67:[67, 1], Operations: ['80-28=52', '52-51=1']
Exploring Operation: 67*1=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
44,
18,
9,
82
] | 29 | [
"44+18=62",
"9+82=91",
"91-62=29"
] | Current State: 29:[44, 18, 9, 82], Operations: []
Exploring Operation: 44+18=62, Resulting Numbers: [9, 82, 62]
Generated Node #2: [9, 82, 62] from Operation: 44+18=62
Current State: 29:[9, 82, 62], Operations: ['44+18=62']
Exploring Operation: 9+82=91, Resulting Numbers: [62, 91]
Generated Node #3: [62, 91] from Operation: 9+82=91
Current State: 29:[62, 91], Operations: ['44+18=62', '9+82=91']
Exploring Operation: 91-62=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
3,
63,
53,
1
] | 58 | [
"3-1=2",
"63+53=116",
"116/2=58"
] | Current State: 58:[3, 63, 53, 1], Operations: []
Exploring Operation: 3-1=2, Resulting Numbers: [63, 53, 2]
Generated Node #2: [63, 53, 2] from Operation: 3-1=2
Current State: 58:[63, 53, 2], Operations: ['3-1=2']
Exploring Operation: 63+53=116, Resulting Numbers: [2, 116]
Generated Node #3: [2, 116] from Operation: 63+53=116
Current State: 58:[2, 116], Operations: ['3-1=2', '63+53=116']
Exploring Operation: 116/2=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
45,
58,
68,
49
] | 32 | [
"58-45=13",
"68-49=19",
"13+19=32"
] | Current State: 32:[45, 58, 68, 49], Operations: []
Exploring Operation: 58-45=13, Resulting Numbers: [68, 49, 13]
Generated Node #2: [68, 49, 13] from Operation: 58-45=13
Current State: 32:[68, 49, 13], Operations: ['58-45=13']
Exploring Operation: 68-49=19, Resulting Numbers: [13, 19]
Generated Node #3: [13, 19] from Operation: 68-49=19
Current State: 32:[13, 19], Operations: ['58-45=13', '68-49=19']
Exploring Operation: 13+19=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
40,
43,
25,
27
] | 55 | [
"43-40=3",
"25+27=52",
"3+52=55"
] | Current State: 55:[40, 43, 25, 27], Operations: []
Exploring Operation: 43-40=3, Resulting Numbers: [25, 27, 3]
Generated Node #2: [25, 27, 3] from Operation: 43-40=3
Current State: 55:[25, 27, 3], Operations: ['43-40=3']
Exploring Operation: 25+27=52, Resulting Numbers: [3, 52]
Generated Node #3: [3, 52] from Operation: 25+27=52
Current State: 55:[3, 52], Operations: ['43-40=3', '25+27=52']
Exploring Operation: 3+52=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
15,
89,
50,
45
] | 61 | [
"45/15=3",
"50*3=150",
"150-89=61"
] | Current State: 61:[15, 89, 50, 45], Operations: []
Exploring Operation: 45/15=3, Resulting Numbers: [89, 50, 3]
Generated Node #2: [89, 50, 3] from Operation: 45/15=3
Current State: 61:[89, 50, 3], Operations: ['45/15=3']
Exploring Operation: 50*3=150, Resulting Numbers: [89, 150]
Generated Node #3: [89, 150] from Operation: 50*3=150
Current State: 61:[89, 150], Operations: ['45/15=3', '50*3=150']
Exploring Operation: 150-89=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
99,
75,
29,
18
] | 84 | [
"29-18=11",
"99/11=9",
"75+9=84"
] | Current State: 84:[99, 75, 29, 18], Operations: []
Exploring Operation: 29-18=11, Resulting Numbers: [99, 75, 11]
Generated Node #2: [99, 75, 11] from Operation: 29-18=11
Current State: 84:[99, 75, 11], Operations: ['29-18=11']
Exploring Operation: 99/11=9, Resulting Numbers: [75, 9]
Generated Node #3: [75, 9] from Operation: 99/11=9
Current State: 84:[75, 9], Operations: ['29-18=11', '99/11=9']
Exploring Operation: 75+9=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
91,
7,
52,
25
] | 29 | [
"91/7=13",
"52/13=4",
"25+4=29"
] | Current State: 29:[91, 7, 52, 25], Operations: []
Exploring Operation: 91/7=13, Resulting Numbers: [52, 25, 13]
Generated Node #2: [52, 25, 13] from Operation: 91/7=13
Current State: 29:[52, 25, 13], Operations: ['91/7=13']
Exploring Operation: 52/13=4, Resulting Numbers: [25, 4]
Generated Node #3: [25, 4] from Operation: 52/13=4
Current State: 29:[25, 4], Operations: ['91/7=13', '52/13=4']
Exploring Operation: 25+4=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
62,
88,
72,
11
] | 67 | [
"62+88=150",
"72+11=83",
"150-83=67"
] | Current State: 67:[62, 88, 72, 11], Operations: []
Exploring Operation: 62+88=150, Resulting Numbers: [72, 11, 150]
Generated Node #2: [72, 11, 150] from Operation: 62+88=150
Current State: 67:[72, 11, 150], Operations: ['62+88=150']
Exploring Operation: 72+11=83, Resulting Numbers: [150, 83]
Generated Node #3: [150, 83] from Operation: 72+11=83
Current State: 67:[150, 83], Operations: ['62+88=150', '72+11=83']
Exploring Operation: 150-83=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
3,
26,
10,
89
] | 87 | [
"3+10=13",
"26/13=2",
"89-2=87"
] | Current State: 87:[3, 26, 10, 89], Operations: []
Exploring Operation: 3+10=13, Resulting Numbers: [26, 89, 13]
Generated Node #2: [26, 89, 13] from Operation: 3+10=13
Current State: 87:[26, 89, 13], Operations: ['3+10=13']
Exploring Operation: 26/13=2, Resulting Numbers: [89, 2]
Generated Node #3: [89, 2] from Operation: 26/13=2
Current State: 87:[89, 2], Operations: ['3+10=13', '26/13=2']
Exploring Operation: 89-2=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
98,
64,
5,
5
] | 33 | [
"98-64=34",
"5/5=1",
"34-1=33"
] | Current State: 33:[98, 64, 5, 5], Operations: []
Exploring Operation: 98-64=34, Resulting Numbers: [5, 5, 34]
Generated Node #2: [5, 5, 34] from Operation: 98-64=34
Current State: 33:[5, 5, 34], Operations: ['98-64=34']
Exploring Operation: 5/5=1, Resulting Numbers: [34, 1]
Generated Node #3: [34, 1] from Operation: 5/5=1
Current State: 33:[34, 1], Operations: ['98-64=34', '5/5=1']
Exploring Operation: 34-1=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
91,
94,
15,
52
] | 57 | [
"94-91=3",
"15/3=5",
"52+5=57"
] | Current State: 57:[91, 94, 15, 52], Operations: []
Exploring Operation: 94-91=3, Resulting Numbers: [15, 52, 3]
Generated Node #2: [15, 52, 3] from Operation: 94-91=3
Current State: 57:[15, 52, 3], Operations: ['94-91=3']
Exploring Operation: 15/3=5, Resulting Numbers: [52, 5]
Generated Node #3: [52, 5] from Operation: 15/3=5
Current State: 57:[52, 5], Operations: ['94-91=3', '15/3=5']
Exploring Operation: 52+5=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
4,
75,
40,
38
] | 67 | [
"40-38=2",
"4*2=8",
"75-8=67"
] | Current State: 67:[4, 75, 40, 38], Operations: []
Exploring Operation: 40-38=2, Resulting Numbers: [4, 75, 2]
Generated Node #2: [4, 75, 2] from Operation: 40-38=2
Current State: 67:[4, 75, 2], Operations: ['40-38=2']
Exploring Operation: 4*2=8, Resulting Numbers: [75, 8]
Generated Node #3: [75, 8] from Operation: 4*2=8
Current State: 67:[75, 8], Operations: ['40-38=2', '4*2=8']
Exploring Operation: 75-8=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
94,
65,
15,
44
] | 88 | [
"94-65=29",
"15+44=59",
"29+59=88"
] | Current State: 88:[94, 65, 15, 44], Operations: []
Exploring Operation: 94-65=29, Resulting Numbers: [15, 44, 29]
Generated Node #2: [15, 44, 29] from Operation: 94-65=29
Current State: 88:[15, 44, 29], Operations: ['94-65=29']
Exploring Operation: 15+44=59, Resulting Numbers: [29, 59]
Generated Node #3: [29, 59] from Operation: 15+44=59
Current State: 88:[29, 59], Operations: ['94-65=29', '15+44=59']
Exploring Operation: 29+59=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
67,
38,
63,
40
] | 28 | [
"67-63=4",
"40/4=10",
"38-10=28"
] | Current State: 28:[67, 38, 63, 40], Operations: []
Exploring Operation: 67-63=4, Resulting Numbers: [38, 40, 4]
Generated Node #2: [38, 40, 4] from Operation: 67-63=4
Current State: 28:[38, 40, 4], Operations: ['67-63=4']
Exploring Operation: 40/4=10, Resulting Numbers: [38, 10]
Generated Node #3: [38, 10] from Operation: 40/4=10
Current State: 28:[38, 10], Operations: ['67-63=4', '40/4=10']
Exploring Operation: 38-10=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
96,
90,
53,
93
] | 34 | [
"96-90=6",
"93-53=40",
"40-6=34"
] | Current State: 34:[96, 90, 53, 93], Operations: []
Exploring Operation: 96-90=6, Resulting Numbers: [53, 93, 6]
Generated Node #2: [53, 93, 6] from Operation: 96-90=6
Current State: 34:[53, 93, 6], Operations: ['96-90=6']
Exploring Operation: 93-53=40, Resulting Numbers: [6, 40]
Generated Node #3: [6, 40] from Operation: 93-53=40
Current State: 34:[6, 40], Operations: ['96-90=6', '93-53=40']
Exploring Operation: 40-6=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
9,
4,
38,
50
] | 66 | [
"38-9=29",
"4*29=116",
"116-50=66"
] | Current State: 66:[9, 4, 38, 50], Operations: []
Exploring Operation: 38-9=29, Resulting Numbers: [4, 50, 29]
Generated Node #2: [4, 50, 29] from Operation: 38-9=29
Current State: 66:[4, 50, 29], Operations: ['38-9=29']
Exploring Operation: 4*29=116, Resulting Numbers: [50, 116]
Generated Node #3: [50, 116] from Operation: 4*29=116
Current State: 66:[50, 116], Operations: ['38-9=29', '4*29=116']
Exploring Operation: 116-50=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
43,
66,
45,
75
] | 18 | [
"45-43=2",
"75-66=9",
"2*9=18"
] | Current State: 18:[43, 66, 45, 75], Operations: []
Exploring Operation: 45-43=2, Resulting Numbers: [66, 75, 2]
Generated Node #2: [66, 75, 2] from Operation: 45-43=2
Current State: 18:[66, 75, 2], Operations: ['45-43=2']
Exploring Operation: 75-66=9, Resulting Numbers: [2, 9]
Generated Node #3: [2, 9] from Operation: 75-66=9
Current State: 18:[2, 9], Operations: ['45-43=2', '75-66=9']
Exploring Operation: 2*9=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
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