nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
19,
2,
76,
79
] | 46 | [
"79-19=60",
"60/2=30",
"76-30=46"
] | Current State: 46:[19, 2, 76, 79], Operations: []
Exploring Operation: 79-19=60, Resulting Numbers: [2, 76, 60]
Generated Node #2: [2, 76, 60] from Operation: 79-19=60
Current State: 46:[2, 76, 60], Operations: ['79-19=60']
Exploring Operation: 60/2=30, Resulting Numbers: [76, 30]
Generated Node #3: [76, 30] from Operation: 60/2=30
Current State: 46:[76, 30], Operations: ['79-19=60', '60/2=30']
Exploring Operation: 76-30=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
8,
88,
52,
59
] | 32 | [
"59-52=7",
"8*7=56",
"88-56=32"
] | Current State: 32:[8, 88, 52, 59], Operations: []
Exploring Operation: 59-52=7, Resulting Numbers: [8, 88, 7]
Generated Node #2: [8, 88, 7] from Operation: 59-52=7
Current State: 32:[8, 88, 7], Operations: ['59-52=7']
Exploring Operation: 8*7=56, Resulting Numbers: [88, 56]
Generated Node #3: [88, 56] from Operation: 8*7=56
Current State: 32:[88, 56], Operations: ['59-52=7', '8*7=56']
Exploring Operation: 88-56=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
43,
37,
68,
11
] | 14 | [
"43+68=111",
"111/37=3",
"11+3=14"
] | Current State: 14:[43, 37, 68, 11], Operations: []
Exploring Operation: 43+68=111, Resulting Numbers: [37, 11, 111]
Generated Node #2: [37, 11, 111] from Operation: 43+68=111
Current State: 14:[37, 11, 111], Operations: ['43+68=111']
Exploring Operation: 111/37=3, Resulting Numbers: [11, 3]
Generated Node #3: [11, 3] from Operation: 111/37=3
Current State: 14:[11, 3], Operations: ['43+68=111', '111/37=3']
Exploring Operation: 11+3=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
11,
9,
72,
12
] | 60 | [
"9*72=648",
"12+648=660",
"660/11=60"
] | Current State: 60:[11, 9, 72, 12], Operations: []
Exploring Operation: 9*72=648, Resulting Numbers: [11, 12, 648]
Generated Node #2: [11, 12, 648] from Operation: 9*72=648
Current State: 60:[11, 12, 648], Operations: ['9*72=648']
Exploring Operation: 12+648=660, Resulting Numbers: [11, 660]
Generated Node #3: [11, 660] from Operation: 12+648=660
Current State: 60:[11, 660], Operations: ['9*72=648', '12+648=660']
Exploring Operation: 660/11=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
11,
4,
70,
66
] | 45 | [
"70+66=136",
"136/4=34",
"11+34=45"
] | Current State: 45:[11, 4, 70, 66], Operations: []
Exploring Operation: 70+66=136, Resulting Numbers: [11, 4, 136]
Generated Node #2: [11, 4, 136] from Operation: 70+66=136
Current State: 45:[11, 4, 136], Operations: ['70+66=136']
Exploring Operation: 136/4=34, Resulting Numbers: [11, 34]
Generated Node #3: [11, 34] from Operation: 136/4=34
Current State: 45:[11, 34], Operations: ['70+66=136', '136/4=34']
Exploring Operation: 11+34=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
1,
59,
76,
62
] | 79 | [
"1*59=59",
"76+62=138",
"138-59=79"
] | Current State: 79:[1, 59, 76, 62], Operations: []
Exploring Operation: 1*59=59, Resulting Numbers: [76, 62, 59]
Generated Node #2: [76, 62, 59] from Operation: 1*59=59
Current State: 79:[76, 62, 59], Operations: ['1*59=59']
Exploring Operation: 76+62=138, Resulting Numbers: [59, 138]
Generated Node #3: [59, 138] from Operation: 76+62=138
Current State: 79:[59, 138], Operations: ['1*59=59', '76+62=138']
Exploring Operation: 138-59=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
5,
86,
83,
26
] | 24 | [
"86-5=81",
"83-26=57",
"81-57=24"
] | Current State: 24:[5, 86, 83, 26], Operations: []
Exploring Operation: 86-5=81, Resulting Numbers: [83, 26, 81]
Generated Node #2: [83, 26, 81] from Operation: 86-5=81
Current State: 24:[83, 26, 81], Operations: ['86-5=81']
Exploring Operation: 83-26=57, Resulting Numbers: [81, 57]
Generated Node #3: [81, 57] from Operation: 83-26=57
Current State: 24:[81, 57], Operations: ['86-5=81', '83-26=57']
Exploring Operation: 81-57=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
90,
16,
65,
18
] | 86 | [
"90/18=5",
"16+65=81",
"5+81=86"
] | Current State: 86:[90, 16, 65, 18], Operations: []
Exploring Operation: 90/18=5, Resulting Numbers: [16, 65, 5]
Generated Node #2: [16, 65, 5] from Operation: 90/18=5
Current State: 86:[16, 65, 5], Operations: ['90/18=5']
Exploring Operation: 16+65=81, Resulting Numbers: [5, 81]
Generated Node #3: [5, 81] from Operation: 16+65=81
Current State: 86:[5, 81], Operations: ['90/18=5', '16+65=81']
Exploring Operation: 5+81=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
2,
11,
19,
15
] | 28 | [
"19+15=34",
"34/2=17",
"11+17=28"
] | Current State: 28:[2, 11, 19, 15], Operations: []
Exploring Operation: 19+15=34, Resulting Numbers: [2, 11, 34]
Generated Node #2: [2, 11, 34] from Operation: 19+15=34
Current State: 28:[2, 11, 34], Operations: ['19+15=34']
Exploring Operation: 34/2=17, Resulting Numbers: [11, 17]
Generated Node #3: [11, 17] from Operation: 34/2=17
Current State: 28:[11, 17], Operations: ['19+15=34', '34/2=17']
Exploring Operation: 11+17=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
12,
97,
19,
55
] | 49 | [
"97-12=85",
"55-19=36",
"85-36=49"
] | Current State: 49:[12, 97, 19, 55], Operations: []
Exploring Operation: 97-12=85, Resulting Numbers: [19, 55, 85]
Generated Node #2: [19, 55, 85] from Operation: 97-12=85
Current State: 49:[19, 55, 85], Operations: ['97-12=85']
Exploring Operation: 55-19=36, Resulting Numbers: [85, 36]
Generated Node #3: [85, 36] from Operation: 55-19=36
Current State: 49:[85, 36], Operations: ['97-12=85', '55-19=36']
Exploring Operation: 85-36=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
48,
26,
39,
28
] | 85 | [
"48+26=74",
"39-28=11",
"74+11=85"
] | Current State: 85:[48, 26, 39, 28], Operations: []
Exploring Operation: 48+26=74, Resulting Numbers: [39, 28, 74]
Generated Node #2: [39, 28, 74] from Operation: 48+26=74
Current State: 85:[39, 28, 74], Operations: ['48+26=74']
Exploring Operation: 39-28=11, Resulting Numbers: [74, 11]
Generated Node #3: [74, 11] from Operation: 39-28=11
Current State: 85:[74, 11], Operations: ['48+26=74', '39-28=11']
Exploring Operation: 74+11=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
27,
60,
21,
36
] | 46 | [
"27-21=6",
"60/6=10",
"36+10=46"
] | Current State: 46:[27, 60, 21, 36], Operations: []
Exploring Operation: 27-21=6, Resulting Numbers: [60, 36, 6]
Generated Node #2: [60, 36, 6] from Operation: 27-21=6
Current State: 46:[60, 36, 6], Operations: ['27-21=6']
Exploring Operation: 60/6=10, Resulting Numbers: [36, 10]
Generated Node #3: [36, 10] from Operation: 60/6=10
Current State: 46:[36, 10], Operations: ['27-21=6', '60/6=10']
Exploring Operation: 36+10=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
45,
96,
30,
84
] | 80 | [
"45*96=4320",
"84-30=54",
"4320/54=80"
] | Current State: 80:[45, 96, 30, 84], Operations: []
Exploring Operation: 45*96=4320, Resulting Numbers: [30, 84, 4320]
Generated Node #2: [30, 84, 4320] from Operation: 45*96=4320
Current State: 80:[30, 84, 4320], Operations: ['45*96=4320']
Exploring Operation: 84-30=54, Resulting Numbers: [4320, 54]
Generated Node #3: [4320, 54] from Operation: 84-30=54
Current State: 80:[4320, 54], Operations: ['45*96=4320', '84-30=54']
Exploring Operation: 4320/54=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
79,
58,
23,
20
] | 23 | [
"79-58=21",
"21-20=1",
"23*1=23"
] | Current State: 23:[79, 58, 23, 20], Operations: []
Exploring Operation: 79-58=21, Resulting Numbers: [23, 20, 21]
Generated Node #2: [23, 20, 21] from Operation: 79-58=21
Current State: 23:[23, 20, 21], Operations: ['79-58=21']
Exploring Operation: 21-20=1, Resulting Numbers: [23, 1]
Generated Node #3: [23, 1] from Operation: 21-20=1
Current State: 23:[23, 1], Operations: ['79-58=21', '21-20=1']
Exploring Operation: 23*1=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
10,
82,
4,
18
] | 41 | [
"10+82=92",
"92/4=23",
"18+23=41"
] | Current State: 41:[10, 82, 4, 18], Operations: []
Exploring Operation: 10+82=92, Resulting Numbers: [4, 18, 92]
Generated Node #2: [4, 18, 92] from Operation: 10+82=92
Current State: 41:[4, 18, 92], Operations: ['10+82=92']
Exploring Operation: 92/4=23, Resulting Numbers: [18, 23]
Generated Node #3: [18, 23] from Operation: 92/4=23
Current State: 41:[18, 23], Operations: ['10+82=92', '92/4=23']
Exploring Operation: 18+23=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
85,
2,
80,
33
] | 61 | [
"85-80=5",
"2*33=66",
"66-5=61"
] | Current State: 61:[85, 2, 80, 33], Operations: []
Exploring Operation: 85-80=5, Resulting Numbers: [2, 33, 5]
Generated Node #2: [2, 33, 5] from Operation: 85-80=5
Current State: 61:[2, 33, 5], Operations: ['85-80=5']
Exploring Operation: 2*33=66, Resulting Numbers: [5, 66]
Generated Node #3: [5, 66] from Operation: 2*33=66
Current State: 61:[5, 66], Operations: ['85-80=5', '2*33=66']
Exploring Operation: 66-5=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
92,
5,
52,
87
] | 53 | [
"92-5=87",
"87/87=1",
"52+1=53"
] | Current State: 53:[92, 5, 52, 87], Operations: []
Exploring Operation: 92-5=87, Resulting Numbers: [52, 87, 87]
Generated Node #2: [52, 87, 87] from Operation: 92-5=87
Current State: 53:[52, 87, 87], Operations: ['92-5=87']
Exploring Operation: 87/87=1, Resulting Numbers: [52, 1]
Generated Node #3: [52, 1] from Operation: 87/87=1
Current State: 53:[52, 1], Operations: ['92-5=87', '87/87=1']
Exploring Operation: 52+1=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
30,
76,
3,
16
] | 87 | [
"30+76=106",
"3+16=19",
"106-19=87"
] | Current State: 87:[30, 76, 3, 16], Operations: []
Exploring Operation: 30+76=106, Resulting Numbers: [3, 16, 106]
Generated Node #2: [3, 16, 106] from Operation: 30+76=106
Current State: 87:[3, 16, 106], Operations: ['30+76=106']
Exploring Operation: 3+16=19, Resulting Numbers: [106, 19]
Generated Node #3: [106, 19] from Operation: 3+16=19
Current State: 87:[106, 19], Operations: ['30+76=106', '3+16=19']
Exploring Operation: 106-19=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
39,
48,
66,
17
] | 45 | [
"39-17=22",
"66/22=3",
"48-3=45"
] | Current State: 45:[39, 48, 66, 17], Operations: []
Exploring Operation: 39-17=22, Resulting Numbers: [48, 66, 22]
Generated Node #2: [48, 66, 22] from Operation: 39-17=22
Current State: 45:[48, 66, 22], Operations: ['39-17=22']
Exploring Operation: 66/22=3, Resulting Numbers: [48, 3]
Generated Node #3: [48, 3] from Operation: 66/22=3
Current State: 45:[48, 3], Operations: ['39-17=22', '66/22=3']
Exploring Operation: 48-3=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
6,
25,
94,
35
] | 28 | [
"6+25=31",
"94-35=59",
"59-31=28"
] | Current State: 28:[6, 25, 94, 35], Operations: []
Exploring Operation: 6+25=31, Resulting Numbers: [94, 35, 31]
Generated Node #2: [94, 35, 31] from Operation: 6+25=31
Current State: 28:[94, 35, 31], Operations: ['6+25=31']
Exploring Operation: 94-35=59, Resulting Numbers: [31, 59]
Generated Node #3: [31, 59] from Operation: 94-35=59
Current State: 28:[31, 59], Operations: ['6+25=31', '94-35=59']
Exploring Operation: 59-31=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
91,
24,
72,
82
] | 32 | [
"91-82=9",
"72/9=8",
"24+8=32"
] | Current State: 32:[91, 24, 72, 82], Operations: []
Exploring Operation: 91-82=9, Resulting Numbers: [24, 72, 9]
Generated Node #2: [24, 72, 9] from Operation: 91-82=9
Current State: 32:[24, 72, 9], Operations: ['91-82=9']
Exploring Operation: 72/9=8, Resulting Numbers: [24, 8]
Generated Node #3: [24, 8] from Operation: 72/9=8
Current State: 32:[24, 8], Operations: ['91-82=9', '72/9=8']
Exploring Operation: 24+8=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
73,
5,
4,
47
] | 86 | [
"5+47=52",
"52/4=13",
"73+13=86"
] | Current State: 86:[73, 5, 4, 47], Operations: []
Exploring Operation: 5+47=52, Resulting Numbers: [73, 4, 52]
Generated Node #2: [73, 4, 52] from Operation: 5+47=52
Current State: 86:[73, 4, 52], Operations: ['5+47=52']
Exploring Operation: 52/4=13, Resulting Numbers: [73, 13]
Generated Node #3: [73, 13] from Operation: 52/4=13
Current State: 86:[73, 13], Operations: ['5+47=52', '52/4=13']
Exploring Operation: 73+13=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
6,
28,
3,
28
] | 12 | [
"28/28=1",
"3-1=2",
"6*2=12"
] | Current State: 12:[6, 28, 3, 28], Operations: []
Exploring Operation: 28/28=1, Resulting Numbers: [6, 3, 1]
Generated Node #2: [6, 3, 1] from Operation: 28/28=1
Current State: 12:[6, 3, 1], Operations: ['28/28=1']
Exploring Operation: 3-1=2, Resulting Numbers: [6, 2]
Generated Node #3: [6, 2] from Operation: 3-1=2
Current State: 12:[6, 2], Operations: ['28/28=1', '3-1=2']
Exploring Operation: 6*2=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
59,
67,
76,
41
] | 87 | [
"67*76=5092",
"41+5092=5133",
"5133/59=87"
] | Current State: 87:[59, 67, 76, 41], Operations: []
Exploring Operation: 67*76=5092, Resulting Numbers: [59, 41, 5092]
Generated Node #2: [59, 41, 5092] from Operation: 67*76=5092
Current State: 87:[59, 41, 5092], Operations: ['67*76=5092']
Exploring Operation: 41+5092=5133, Resulting Numbers: [59, 5133]
Generated Node #3: [59, 5133] from Operation: 41+5092=5133
Current State: 87:[59, 5133], Operations: ['67*76=5092', '41+5092=5133']
Exploring Operation: 5133/59=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
47,
93,
29,
83
] | 66 | [
"93-47=46",
"29+83=112",
"112-46=66"
] | Current State: 66:[47, 93, 29, 83], Operations: []
Exploring Operation: 93-47=46, Resulting Numbers: [29, 83, 46]
Generated Node #2: [29, 83, 46] from Operation: 93-47=46
Current State: 66:[29, 83, 46], Operations: ['93-47=46']
Exploring Operation: 29+83=112, Resulting Numbers: [46, 112]
Generated Node #3: [46, 112] from Operation: 29+83=112
Current State: 66:[46, 112], Operations: ['93-47=46', '29+83=112']
Exploring Operation: 112-46=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
67,
3,
66,
36
] | 27 | [
"67-36=31",
"3*31=93",
"93-66=27"
] | Current State: 27:[67, 3, 66, 36], Operations: []
Exploring Operation: 67-36=31, Resulting Numbers: [3, 66, 31]
Generated Node #2: [3, 66, 31] from Operation: 67-36=31
Current State: 27:[3, 66, 31], Operations: ['67-36=31']
Exploring Operation: 3*31=93, Resulting Numbers: [66, 93]
Generated Node #3: [66, 93] from Operation: 3*31=93
Current State: 27:[66, 93], Operations: ['67-36=31', '3*31=93']
Exploring Operation: 93-66=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
50,
4,
40,
70
] | 12 | [
"50+70=120",
"40/4=10",
"120/10=12"
] | Current State: 12:[50, 4, 40, 70], Operations: []
Exploring Operation: 50+70=120, Resulting Numbers: [4, 40, 120]
Generated Node #2: [4, 40, 120] from Operation: 50+70=120
Current State: 12:[4, 40, 120], Operations: ['50+70=120']
Exploring Operation: 40/4=10, Resulting Numbers: [120, 10]
Generated Node #3: [120, 10] from Operation: 40/4=10
Current State: 12:[120, 10], Operations: ['50+70=120', '40/4=10']
Exploring Operation: 120/10=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
60,
7,
57,
98
] | 88 | [
"60+7=67",
"57+98=155",
"155-67=88"
] | Current State: 88:[60, 7, 57, 98], Operations: []
Exploring Operation: 60+7=67, Resulting Numbers: [57, 98, 67]
Generated Node #2: [57, 98, 67] from Operation: 60+7=67
Current State: 88:[57, 98, 67], Operations: ['60+7=67']
Exploring Operation: 57+98=155, Resulting Numbers: [67, 155]
Generated Node #3: [67, 155] from Operation: 57+98=155
Current State: 88:[67, 155], Operations: ['60+7=67', '57+98=155']
Exploring Operation: 155-67=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
12,
98,
20,
74
] | 56 | [
"12+98=110",
"74-20=54",
"110-54=56"
] | Current State: 56:[12, 98, 20, 74], Operations: []
Exploring Operation: 12+98=110, Resulting Numbers: [20, 74, 110]
Generated Node #2: [20, 74, 110] from Operation: 12+98=110
Current State: 56:[20, 74, 110], Operations: ['12+98=110']
Exploring Operation: 74-20=54, Resulting Numbers: [110, 54]
Generated Node #3: [110, 54] from Operation: 74-20=54
Current State: 56:[110, 54], Operations: ['12+98=110', '74-20=54']
Exploring Operation: 110-54=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
77,
80,
74,
61
] | 22 | [
"77+80=157",
"74+61=135",
"157-135=22"
] | Current State: 22:[77, 80, 74, 61], Operations: []
Exploring Operation: 77+80=157, Resulting Numbers: [74, 61, 157]
Generated Node #2: [74, 61, 157] from Operation: 77+80=157
Current State: 22:[74, 61, 157], Operations: ['77+80=157']
Exploring Operation: 74+61=135, Resulting Numbers: [157, 135]
Generated Node #3: [157, 135] from Operation: 74+61=135
Current State: 22:[157, 135], Operations: ['77+80=157', '74+61=135']
Exploring Operation: 157-135=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
76,
78,
12,
14
] | 13 | [
"78-76=2",
"12+14=26",
"26/2=13"
] | Current State: 13:[76, 78, 12, 14], Operations: []
Exploring Operation: 78-76=2, Resulting Numbers: [12, 14, 2]
Generated Node #2: [12, 14, 2] from Operation: 78-76=2
Current State: 13:[12, 14, 2], Operations: ['78-76=2']
Exploring Operation: 12+14=26, Resulting Numbers: [2, 26]
Generated Node #3: [2, 26] from Operation: 12+14=26
Current State: 13:[2, 26], Operations: ['78-76=2', '12+14=26']
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
54,
93,
8,
81
] | 70 | [
"54*93=5022",
"5022/81=62",
"8+62=70"
] | Current State: 70:[54, 93, 8, 81], Operations: []
Exploring Operation: 54*93=5022, Resulting Numbers: [8, 81, 5022]
Generated Node #2: [8, 81, 5022] from Operation: 54*93=5022
Current State: 70:[8, 81, 5022], Operations: ['54*93=5022']
Exploring Operation: 5022/81=62, Resulting Numbers: [8, 62]
Generated Node #3: [8, 62] from Operation: 5022/81=62
Current State: 70:[8, 62], Operations: ['54*93=5022', '5022/81=62']
Exploring Operation: 8+62=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
31,
77,
2,
54
] | 81 | [
"31+77=108",
"54/2=27",
"108-27=81"
] | Current State: 81:[31, 77, 2, 54], Operations: []
Exploring Operation: 31+77=108, Resulting Numbers: [2, 54, 108]
Generated Node #2: [2, 54, 108] from Operation: 31+77=108
Current State: 81:[2, 54, 108], Operations: ['31+77=108']
Exploring Operation: 54/2=27, Resulting Numbers: [108, 27]
Generated Node #3: [108, 27] from Operation: 54/2=27
Current State: 81:[108, 27], Operations: ['31+77=108', '54/2=27']
Exploring Operation: 108-27=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
80,
21,
90,
2
] | 22 | [
"80+21=101",
"101-90=11",
"2*11=22"
] | Current State: 22:[80, 21, 90, 2], Operations: []
Exploring Operation: 80+21=101, Resulting Numbers: [90, 2, 101]
Generated Node #2: [90, 2, 101] from Operation: 80+21=101
Current State: 22:[90, 2, 101], Operations: ['80+21=101']
Exploring Operation: 101-90=11, Resulting Numbers: [2, 11]
Generated Node #3: [2, 11] from Operation: 101-90=11
Current State: 22:[2, 11], Operations: ['80+21=101', '101-90=11']
Exploring Operation: 2*11=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
56,
46,
42,
87
] | 55 | [
"56-46=10",
"87-42=45",
"10+45=55"
] | Current State: 55:[56, 46, 42, 87], Operations: []
Exploring Operation: 56-46=10, Resulting Numbers: [42, 87, 10]
Generated Node #2: [42, 87, 10] from Operation: 56-46=10
Current State: 55:[42, 87, 10], Operations: ['56-46=10']
Exploring Operation: 87-42=45, Resulting Numbers: [10, 45]
Generated Node #3: [10, 45] from Operation: 87-42=45
Current State: 55:[10, 45], Operations: ['56-46=10', '87-42=45']
Exploring Operation: 10+45=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
91,
65,
72,
95
] | 83 | [
"95-91=4",
"72/4=18",
"65+18=83"
] | Current State: 83:[91, 65, 72, 95], Operations: []
Exploring Operation: 95-91=4, Resulting Numbers: [65, 72, 4]
Generated Node #2: [65, 72, 4] from Operation: 95-91=4
Current State: 83:[65, 72, 4], Operations: ['95-91=4']
Exploring Operation: 72/4=18, Resulting Numbers: [65, 18]
Generated Node #3: [65, 18] from Operation: 72/4=18
Current State: 83:[65, 18], Operations: ['95-91=4', '72/4=18']
Exploring Operation: 65+18=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
23,
73,
77,
16
] | 84 | [
"23-16=7",
"77/7=11",
"73+11=84"
] | Current State: 84:[23, 73, 77, 16], Operations: []
Exploring Operation: 23-16=7, Resulting Numbers: [73, 77, 7]
Generated Node #2: [73, 77, 7] from Operation: 23-16=7
Current State: 84:[73, 77, 7], Operations: ['23-16=7']
Exploring Operation: 77/7=11, Resulting Numbers: [73, 11]
Generated Node #3: [73, 11] from Operation: 77/7=11
Current State: 84:[73, 11], Operations: ['23-16=7', '77/7=11']
Exploring Operation: 73+11=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
50,
7,
91,
75
] | 27 | [
"50-7=43",
"91-75=16",
"43-16=27"
] | Current State: 27:[50, 7, 91, 75], Operations: []
Exploring Operation: 50-7=43, Resulting Numbers: [91, 75, 43]
Generated Node #2: [91, 75, 43] from Operation: 50-7=43
Current State: 27:[91, 75, 43], Operations: ['50-7=43']
Exploring Operation: 91-75=16, Resulting Numbers: [43, 16]
Generated Node #3: [43, 16] from Operation: 91-75=16
Current State: 27:[43, 16], Operations: ['50-7=43', '91-75=16']
Exploring Operation: 43-16=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
83,
96,
24,
69
] | 86 | [
"83+96=179",
"24+69=93",
"179-93=86"
] | Current State: 86:[83, 96, 24, 69], Operations: []
Exploring Operation: 83+96=179, Resulting Numbers: [24, 69, 179]
Generated Node #2: [24, 69, 179] from Operation: 83+96=179
Current State: 86:[24, 69, 179], Operations: ['83+96=179']
Exploring Operation: 24+69=93, Resulting Numbers: [179, 93]
Generated Node #3: [179, 93] from Operation: 24+69=93
Current State: 86:[179, 93], Operations: ['83+96=179', '24+69=93']
Exploring Operation: 179-93=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
50,
24,
6,
74
] | 94 | [
"50-24=26",
"74-6=68",
"26+68=94"
] | Current State: 94:[50, 24, 6, 74], Operations: []
Exploring Operation: 50-24=26, Resulting Numbers: [6, 74, 26]
Generated Node #2: [6, 74, 26] from Operation: 50-24=26
Current State: 94:[6, 74, 26], Operations: ['50-24=26']
Exploring Operation: 74-6=68, Resulting Numbers: [26, 68]
Generated Node #3: [26, 68] from Operation: 74-6=68
Current State: 94:[26, 68], Operations: ['50-24=26', '74-6=68']
Exploring Operation: 26+68=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
10,
80,
63,
1
] | 28 | [
"10+80=90",
"63-1=62",
"90-62=28"
] | Current State: 28:[10, 80, 63, 1], Operations: []
Exploring Operation: 10+80=90, Resulting Numbers: [63, 1, 90]
Generated Node #2: [63, 1, 90] from Operation: 10+80=90
Current State: 28:[63, 1, 90], Operations: ['10+80=90']
Exploring Operation: 63-1=62, Resulting Numbers: [90, 62]
Generated Node #3: [90, 62] from Operation: 63-1=62
Current State: 28:[90, 62], Operations: ['10+80=90', '63-1=62']
Exploring Operation: 90-62=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
32,
12,
51,
98
] | 14 | [
"32+12=44",
"51-44=7",
"98/7=14"
] | Current State: 14:[32, 12, 51, 98], Operations: []
Exploring Operation: 32+12=44, Resulting Numbers: [51, 98, 44]
Generated Node #2: [51, 98, 44] from Operation: 32+12=44
Current State: 14:[51, 98, 44], Operations: ['32+12=44']
Exploring Operation: 51-44=7, Resulting Numbers: [98, 7]
Generated Node #3: [98, 7] from Operation: 51-44=7
Current State: 14:[98, 7], Operations: ['32+12=44', '51-44=7']
Exploring Operation: 98/7=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
83,
37,
49,
50
] | 53 | [
"83-37=46",
"49+50=99",
"99-46=53"
] | Current State: 53:[83, 37, 49, 50], Operations: []
Exploring Operation: 83-37=46, Resulting Numbers: [49, 50, 46]
Generated Node #2: [49, 50, 46] from Operation: 83-37=46
Current State: 53:[49, 50, 46], Operations: ['83-37=46']
Exploring Operation: 49+50=99, Resulting Numbers: [46, 99]
Generated Node #3: [46, 99] from Operation: 49+50=99
Current State: 53:[46, 99], Operations: ['83-37=46', '49+50=99']
Exploring Operation: 99-46=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
26,
78,
39,
72
] | 13 | [
"26*39=1014",
"1014-78=936",
"936/72=13"
] | Current State: 13:[26, 78, 39, 72], Operations: []
Exploring Operation: 26*39=1014, Resulting Numbers: [78, 72, 1014]
Generated Node #2: [78, 72, 1014] from Operation: 26*39=1014
Current State: 13:[78, 72, 1014], Operations: ['26*39=1014']
Exploring Operation: 1014-78=936, Resulting Numbers: [72, 936]
Generated Node #3: [72, 936] from Operation: 1014-78=936
Current State: 13:[72, 936], Operations: ['26*39=1014', '1014-78=936']
Exploring Operation: 936/72=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
62,
64,
28,
5
] | 51 | [
"64-62=2",
"28*2=56",
"56-5=51"
] | Current State: 51:[62, 64, 28, 5], Operations: []
Exploring Operation: 64-62=2, Resulting Numbers: [28, 5, 2]
Generated Node #2: [28, 5, 2] from Operation: 64-62=2
Current State: 51:[28, 5, 2], Operations: ['64-62=2']
Exploring Operation: 28*2=56, Resulting Numbers: [5, 56]
Generated Node #3: [5, 56] from Operation: 28*2=56
Current State: 51:[5, 56], Operations: ['64-62=2', '28*2=56']
Exploring Operation: 56-5=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
80,
5,
82,
82
] | 16 | [
"80/5=16",
"82-82=0",
"16+0=16"
] | Current State: 16:[80, 5, 82, 82], Operations: []
Exploring Operation: 80/5=16, Resulting Numbers: [82, 82, 16]
Generated Node #2: [82, 82, 16] from Operation: 80/5=16
Current State: 16:[82, 82, 16], Operations: ['80/5=16']
Exploring Operation: 82-82=0, Resulting Numbers: [16, 0]
Generated Node #3: [16, 0] from Operation: 82-82=0
Current State: 16:[16, 0], Operations: ['80/5=16', '82-82=0']
Exploring Operation: 16+0=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
49,
76,
40,
15
] | 59 | [
"49-40=9",
"15*9=135",
"135-76=59"
] | Current State: 59:[49, 76, 40, 15], Operations: []
Exploring Operation: 49-40=9, Resulting Numbers: [76, 15, 9]
Generated Node #2: [76, 15, 9] from Operation: 49-40=9
Current State: 59:[76, 15, 9], Operations: ['49-40=9']
Exploring Operation: 15*9=135, Resulting Numbers: [76, 135]
Generated Node #3: [76, 135] from Operation: 15*9=135
Current State: 59:[76, 135], Operations: ['49-40=9', '15*9=135']
Exploring Operation: 135-76=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
97,
33,
32,
92
] | 13 | [
"97-92=5",
"33+32=65",
"65/5=13"
] | Current State: 13:[97, 33, 32, 92], Operations: []
Exploring Operation: 97-92=5, Resulting Numbers: [33, 32, 5]
Generated Node #2: [33, 32, 5] from Operation: 97-92=5
Current State: 13:[33, 32, 5], Operations: ['97-92=5']
Exploring Operation: 33+32=65, Resulting Numbers: [5, 65]
Generated Node #3: [5, 65] from Operation: 33+32=65
Current State: 13:[5, 65], Operations: ['97-92=5', '33+32=65']
Exploring Operation: 65/5=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
20,
96,
32,
3
] | 19 | [
"96/32=3",
"3/3=1",
"20-1=19"
] | Current State: 19:[20, 96, 32, 3], Operations: []
Exploring Operation: 96/32=3, Resulting Numbers: [20, 3, 3]
Generated Node #2: [20, 3, 3] from Operation: 96/32=3
Current State: 19:[20, 3, 3], Operations: ['96/32=3']
Exploring Operation: 3/3=1, Resulting Numbers: [20, 1]
Generated Node #3: [20, 1] from Operation: 3/3=1
Current State: 19:[20, 1], Operations: ['96/32=3', '3/3=1']
Exploring Operation: 20-1=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
56,
80,
56,
21
] | 58 | [
"56/56=1",
"80-21=59",
"59-1=58"
] | Current State: 58:[56, 80, 56, 21], Operations: []
Exploring Operation: 56/56=1, Resulting Numbers: [80, 21, 1]
Generated Node #2: [80, 21, 1] from Operation: 56/56=1
Current State: 58:[80, 21, 1], Operations: ['56/56=1']
Exploring Operation: 80-21=59, Resulting Numbers: [1, 59]
Generated Node #3: [1, 59] from Operation: 80-21=59
Current State: 58:[1, 59], Operations: ['56/56=1', '80-21=59']
Exploring Operation: 59-1=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
37,
86,
44,
82
] | 48 | [
"86-82=4",
"44/4=11",
"37+11=48"
] | Current State: 48:[37, 86, 44, 82], Operations: []
Exploring Operation: 86-82=4, Resulting Numbers: [37, 44, 4]
Generated Node #2: [37, 44, 4] from Operation: 86-82=4
Current State: 48:[37, 44, 4], Operations: ['86-82=4']
Exploring Operation: 44/4=11, Resulting Numbers: [37, 11]
Generated Node #3: [37, 11] from Operation: 44/4=11
Current State: 48:[37, 11], Operations: ['86-82=4', '44/4=11']
Exploring Operation: 37+11=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
69,
30,
2,
72
] | 24 | [
"72-69=3",
"2*3=6",
"30-6=24"
] | Current State: 24:[69, 30, 2, 72], Operations: []
Exploring Operation: 72-69=3, Resulting Numbers: [30, 2, 3]
Generated Node #2: [30, 2, 3] from Operation: 72-69=3
Current State: 24:[30, 2, 3], Operations: ['72-69=3']
Exploring Operation: 2*3=6, Resulting Numbers: [30, 6]
Generated Node #3: [30, 6] from Operation: 2*3=6
Current State: 24:[30, 6], Operations: ['72-69=3', '2*3=6']
Exploring Operation: 30-6=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
83,
23,
47,
95
] | 36 | [
"83+23=106",
"47+95=142",
"142-106=36"
] | Current State: 36:[83, 23, 47, 95], Operations: []
Exploring Operation: 83+23=106, Resulting Numbers: [47, 95, 106]
Generated Node #2: [47, 95, 106] from Operation: 83+23=106
Current State: 36:[47, 95, 106], Operations: ['83+23=106']
Exploring Operation: 47+95=142, Resulting Numbers: [106, 142]
Generated Node #3: [106, 142] from Operation: 47+95=142
Current State: 36:[106, 142], Operations: ['83+23=106', '47+95=142']
Exploring Operation: 142-106=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
39,
97,
35,
90
] | 67 | [
"97-39=58",
"35+90=125",
"125-58=67"
] | Current State: 67:[39, 97, 35, 90], Operations: []
Exploring Operation: 97-39=58, Resulting Numbers: [35, 90, 58]
Generated Node #2: [35, 90, 58] from Operation: 97-39=58
Current State: 67:[35, 90, 58], Operations: ['97-39=58']
Exploring Operation: 35+90=125, Resulting Numbers: [58, 125]
Generated Node #3: [58, 125] from Operation: 35+90=125
Current State: 67:[58, 125], Operations: ['97-39=58', '35+90=125']
Exploring Operation: 125-58=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
12,
48,
18,
27
] | 27 | [
"48-12=36",
"27-18=9",
"36-9=27"
] | Current State: 27:[12, 48, 18, 27], Operations: []
Exploring Operation: 48-12=36, Resulting Numbers: [18, 27, 36]
Generated Node #2: [18, 27, 36] from Operation: 48-12=36
Current State: 27:[18, 27, 36], Operations: ['48-12=36']
Exploring Operation: 27-18=9, Resulting Numbers: [36, 9]
Generated Node #3: [36, 9] from Operation: 27-18=9
Current State: 27:[36, 9], Operations: ['48-12=36', '27-18=9']
Exploring Operation: 36-9=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
31,
13,
10,
70
] | 37 | [
"31+13=44",
"70/10=7",
"44-7=37"
] | Current State: 37:[31, 13, 10, 70], Operations: []
Exploring Operation: 31+13=44, Resulting Numbers: [10, 70, 44]
Generated Node #2: [10, 70, 44] from Operation: 31+13=44
Current State: 37:[10, 70, 44], Operations: ['31+13=44']
Exploring Operation: 70/10=7, Resulting Numbers: [44, 7]
Generated Node #3: [44, 7] from Operation: 70/10=7
Current State: 37:[44, 7], Operations: ['31+13=44', '70/10=7']
Exploring Operation: 44-7=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
56,
22,
62,
58
] | 38 | [
"56-22=34",
"62-58=4",
"34+4=38"
] | Current State: 38:[56, 22, 62, 58], Operations: []
Exploring Operation: 56-22=34, Resulting Numbers: [62, 58, 34]
Generated Node #2: [62, 58, 34] from Operation: 56-22=34
Current State: 38:[62, 58, 34], Operations: ['56-22=34']
Exploring Operation: 62-58=4, Resulting Numbers: [34, 4]
Generated Node #3: [34, 4] from Operation: 62-58=4
Current State: 38:[34, 4], Operations: ['56-22=34', '62-58=4']
Exploring Operation: 34+4=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
10,
63,
92,
24
] | 85 | [
"10*24=240",
"63+92=155",
"240-155=85"
] | Current State: 85:[10, 63, 92, 24], Operations: []
Exploring Operation: 10*24=240, Resulting Numbers: [63, 92, 240]
Generated Node #2: [63, 92, 240] from Operation: 10*24=240
Current State: 85:[63, 92, 240], Operations: ['10*24=240']
Exploring Operation: 63+92=155, Resulting Numbers: [240, 155]
Generated Node #3: [240, 155] from Operation: 63+92=155
Current State: 85:[240, 155], Operations: ['10*24=240', '63+92=155']
Exploring Operation: 240-155=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
85,
35,
12,
42
] | 95 | [
"35*12=420",
"420/42=10",
"85+10=95"
] | Current State: 95:[85, 35, 12, 42], Operations: []
Exploring Operation: 35*12=420, Resulting Numbers: [85, 42, 420]
Generated Node #2: [85, 42, 420] from Operation: 35*12=420
Current State: 95:[85, 42, 420], Operations: ['35*12=420']
Exploring Operation: 420/42=10, Resulting Numbers: [85, 10]
Generated Node #3: [85, 10] from Operation: 420/42=10
Current State: 95:[85, 10], Operations: ['35*12=420', '420/42=10']
Exploring Operation: 85+10=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
9,
64,
52,
62
] | 65 | [
"64-9=55",
"62-52=10",
"55+10=65"
] | Current State: 65:[9, 64, 52, 62], Operations: []
Exploring Operation: 64-9=55, Resulting Numbers: [52, 62, 55]
Generated Node #2: [52, 62, 55] from Operation: 64-9=55
Current State: 65:[52, 62, 55], Operations: ['64-9=55']
Exploring Operation: 62-52=10, Resulting Numbers: [55, 10]
Generated Node #3: [55, 10] from Operation: 62-52=10
Current State: 65:[55, 10], Operations: ['64-9=55', '62-52=10']
Exploring Operation: 55+10=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
94,
56,
78,
43
] | 100 | [
"56-43=13",
"78/13=6",
"94+6=100"
] | Current State: 100:[94, 56, 78, 43], Operations: []
Exploring Operation: 56-43=13, Resulting Numbers: [94, 78, 13]
Generated Node #2: [94, 78, 13] from Operation: 56-43=13
Current State: 100:[94, 78, 13], Operations: ['56-43=13']
Exploring Operation: 78/13=6, Resulting Numbers: [94, 6]
Generated Node #3: [94, 6] from Operation: 78/13=6
Current State: 100:[94, 6], Operations: ['56-43=13', '78/13=6']
Exploring Operation: 94+6=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
18,
24,
92,
31
] | 38 | [
"18*92=1656",
"1656/24=69",
"69-31=38"
] | Current State: 38:[18, 24, 92, 31], Operations: []
Exploring Operation: 18*92=1656, Resulting Numbers: [24, 31, 1656]
Generated Node #2: [24, 31, 1656] from Operation: 18*92=1656
Current State: 38:[24, 31, 1656], Operations: ['18*92=1656']
Exploring Operation: 1656/24=69, Resulting Numbers: [31, 69]
Generated Node #3: [31, 69] from Operation: 1656/24=69
Current State: 38:[31, 69], Operations: ['18*92=1656', '1656/24=69']
Exploring Operation: 69-31=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
83,
99,
81,
3
] | 48 | [
"83-81=2",
"99-3=96",
"96/2=48"
] | Current State: 48:[83, 99, 81, 3], Operations: []
Exploring Operation: 83-81=2, Resulting Numbers: [99, 3, 2]
Generated Node #2: [99, 3, 2] from Operation: 83-81=2
Current State: 48:[99, 3, 2], Operations: ['83-81=2']
Exploring Operation: 99-3=96, Resulting Numbers: [2, 96]
Generated Node #3: [2, 96] from Operation: 99-3=96
Current State: 48:[2, 96], Operations: ['83-81=2', '99-3=96']
Exploring Operation: 96/2=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
97,
92,
88,
2
] | 37 | [
"97-88=9",
"92/2=46",
"46-9=37"
] | Current State: 37:[97, 92, 88, 2], Operations: []
Exploring Operation: 97-88=9, Resulting Numbers: [92, 2, 9]
Generated Node #2: [92, 2, 9] from Operation: 97-88=9
Current State: 37:[92, 2, 9], Operations: ['97-88=9']
Exploring Operation: 92/2=46, Resulting Numbers: [9, 46]
Generated Node #3: [9, 46] from Operation: 92/2=46
Current State: 37:[9, 46], Operations: ['97-88=9', '92/2=46']
Exploring Operation: 46-9=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
16,
4,
74,
91
] | 84 | [
"91-74=17",
"4*17=68",
"16+68=84"
] | Current State: 84:[16, 4, 74, 91], Operations: []
Exploring Operation: 91-74=17, Resulting Numbers: [16, 4, 17]
Generated Node #2: [16, 4, 17] from Operation: 91-74=17
Current State: 84:[16, 4, 17], Operations: ['91-74=17']
Exploring Operation: 4*17=68, Resulting Numbers: [16, 68]
Generated Node #3: [16, 68] from Operation: 4*17=68
Current State: 84:[16, 68], Operations: ['91-74=17', '4*17=68']
Exploring Operation: 16+68=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
91,
21,
48,
2
] | 59 | [
"91-21=70",
"48+70=118",
"118/2=59"
] | Current State: 59:[91, 21, 48, 2], Operations: []
Exploring Operation: 91-21=70, Resulting Numbers: [48, 2, 70]
Generated Node #2: [48, 2, 70] from Operation: 91-21=70
Current State: 59:[48, 2, 70], Operations: ['91-21=70']
Exploring Operation: 48+70=118, Resulting Numbers: [2, 118]
Generated Node #3: [2, 118] from Operation: 48+70=118
Current State: 59:[2, 118], Operations: ['91-21=70', '48+70=118']
Exploring Operation: 118/2=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
97,
42,
98,
16
] | 58 | [
"98-97=1",
"42+16=58",
"1*58=58"
] | Current State: 58:[97, 42, 98, 16], Operations: []
Exploring Operation: 98-97=1, Resulting Numbers: [42, 16, 1]
Generated Node #2: [42, 16, 1] from Operation: 98-97=1
Current State: 58:[42, 16, 1], Operations: ['98-97=1']
Exploring Operation: 42+16=58, Resulting Numbers: [1, 58]
Generated Node #3: [1, 58] from Operation: 42+16=58
Current State: 58:[1, 58], Operations: ['98-97=1', '42+16=58']
Exploring Operation: 1*58=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
80,
54,
13,
71
] | 20 | [
"54+13=67",
"71-67=4",
"80/4=20"
] | Current State: 20:[80, 54, 13, 71], Operations: []
Exploring Operation: 54+13=67, Resulting Numbers: [80, 71, 67]
Generated Node #2: [80, 71, 67] from Operation: 54+13=67
Current State: 20:[80, 71, 67], Operations: ['54+13=67']
Exploring Operation: 71-67=4, Resulting Numbers: [80, 4]
Generated Node #3: [80, 4] from Operation: 71-67=4
Current State: 20:[80, 4], Operations: ['54+13=67', '71-67=4']
Exploring Operation: 80/4=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
10,
15,
8,
29
] | 43 | [
"10-8=2",
"29*2=58",
"58-15=43"
] | Current State: 43:[10, 15, 8, 29], Operations: []
Exploring Operation: 10-8=2, Resulting Numbers: [15, 29, 2]
Generated Node #2: [15, 29, 2] from Operation: 10-8=2
Current State: 43:[15, 29, 2], Operations: ['10-8=2']
Exploring Operation: 29*2=58, Resulting Numbers: [15, 58]
Generated Node #3: [15, 58] from Operation: 29*2=58
Current State: 43:[15, 58], Operations: ['10-8=2', '29*2=58']
Exploring Operation: 58-15=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
75,
37,
61,
52
] | 56 | [
"52-37=15",
"75/15=5",
"61-5=56"
] | Current State: 56:[75, 37, 61, 52], Operations: []
Exploring Operation: 52-37=15, Resulting Numbers: [75, 61, 15]
Generated Node #2: [75, 61, 15] from Operation: 52-37=15
Current State: 56:[75, 61, 15], Operations: ['52-37=15']
Exploring Operation: 75/15=5, Resulting Numbers: [61, 5]
Generated Node #3: [61, 5] from Operation: 75/15=5
Current State: 56:[61, 5], Operations: ['52-37=15', '75/15=5']
Exploring Operation: 61-5=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
84,
82,
27,
30
] | 54 | [
"30-27=3",
"84/3=28",
"82-28=54"
] | Current State: 54:[84, 82, 27, 30], Operations: []
Exploring Operation: 30-27=3, Resulting Numbers: [84, 82, 3]
Generated Node #2: [84, 82, 3] from Operation: 30-27=3
Current State: 54:[84, 82, 3], Operations: ['30-27=3']
Exploring Operation: 84/3=28, Resulting Numbers: [82, 28]
Generated Node #3: [82, 28] from Operation: 84/3=28
Current State: 54:[82, 28], Operations: ['30-27=3', '84/3=28']
Exploring Operation: 82-28=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
28,
5,
84,
33
] | 29 | [
"28+84=112",
"33+112=145",
"145/5=29"
] | Current State: 29:[28, 5, 84, 33], Operations: []
Exploring Operation: 28+84=112, Resulting Numbers: [5, 33, 112]
Generated Node #2: [5, 33, 112] from Operation: 28+84=112
Current State: 29:[5, 33, 112], Operations: ['28+84=112']
Exploring Operation: 33+112=145, Resulting Numbers: [5, 145]
Generated Node #3: [5, 145] from Operation: 33+112=145
Current State: 29:[5, 145], Operations: ['28+84=112', '33+112=145']
Exploring Operation: 145/5=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
80,
13,
87,
16
] | 79 | [
"80/16=5",
"87-13=74",
"5+74=79"
] | Current State: 79:[80, 13, 87, 16], Operations: []
Exploring Operation: 80/16=5, Resulting Numbers: [13, 87, 5]
Generated Node #2: [13, 87, 5] from Operation: 80/16=5
Current State: 79:[13, 87, 5], Operations: ['80/16=5']
Exploring Operation: 87-13=74, Resulting Numbers: [5, 74]
Generated Node #3: [5, 74] from Operation: 87-13=74
Current State: 79:[5, 74], Operations: ['80/16=5', '87-13=74']
Exploring Operation: 5+74=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
51,
29,
39,
44
] | 41 | [
"51-29=22",
"44/22=2",
"39+2=41"
] | Current State: 41:[51, 29, 39, 44], Operations: []
Exploring Operation: 51-29=22, Resulting Numbers: [39, 44, 22]
Generated Node #2: [39, 44, 22] from Operation: 51-29=22
Current State: 41:[39, 44, 22], Operations: ['51-29=22']
Exploring Operation: 44/22=2, Resulting Numbers: [39, 2]
Generated Node #3: [39, 2] from Operation: 44/22=2
Current State: 41:[39, 2], Operations: ['51-29=22', '44/22=2']
Exploring Operation: 39+2=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
31,
72,
18,
61
] | 38 | [
"72-31=41",
"18+61=79",
"79-41=38"
] | Current State: 38:[31, 72, 18, 61], Operations: []
Exploring Operation: 72-31=41, Resulting Numbers: [18, 61, 41]
Generated Node #2: [18, 61, 41] from Operation: 72-31=41
Current State: 38:[18, 61, 41], Operations: ['72-31=41']
Exploring Operation: 18+61=79, Resulting Numbers: [41, 79]
Generated Node #3: [41, 79] from Operation: 18+61=79
Current State: 38:[41, 79], Operations: ['72-31=41', '18+61=79']
Exploring Operation: 79-41=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
37,
38,
71,
20
] | 52 | [
"38-37=1",
"71-20=51",
"1+51=52"
] | Current State: 52:[37, 38, 71, 20], Operations: []
Exploring Operation: 38-37=1, Resulting Numbers: [71, 20, 1]
Generated Node #2: [71, 20, 1] from Operation: 38-37=1
Current State: 52:[71, 20, 1], Operations: ['38-37=1']
Exploring Operation: 71-20=51, Resulting Numbers: [1, 51]
Generated Node #3: [1, 51] from Operation: 71-20=51
Current State: 52:[1, 51], Operations: ['38-37=1', '71-20=51']
Exploring Operation: 1+51=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
1,
59,
45,
8
] | 98 | [
"8-1=7",
"59-45=14",
"7*14=98"
] | Current State: 98:[1, 59, 45, 8], Operations: []
Exploring Operation: 8-1=7, Resulting Numbers: [59, 45, 7]
Generated Node #2: [59, 45, 7] from Operation: 8-1=7
Current State: 98:[59, 45, 7], Operations: ['8-1=7']
Exploring Operation: 59-45=14, Resulting Numbers: [7, 14]
Generated Node #3: [7, 14] from Operation: 59-45=14
Current State: 98:[7, 14], Operations: ['8-1=7', '59-45=14']
Exploring Operation: 7*14=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
51,
26,
58,
6
] | 53 | [
"58-6=52",
"52/26=2",
"51+2=53"
] | Current State: 53:[51, 26, 58, 6], Operations: []
Exploring Operation: 58-6=52, Resulting Numbers: [51, 26, 52]
Generated Node #2: [51, 26, 52] from Operation: 58-6=52
Current State: 53:[51, 26, 52], Operations: ['58-6=52']
Exploring Operation: 52/26=2, Resulting Numbers: [51, 2]
Generated Node #3: [51, 2] from Operation: 52/26=2
Current State: 53:[51, 2], Operations: ['58-6=52', '52/26=2']
Exploring Operation: 51+2=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
68,
30,
66,
6
] | 12 | [
"68-66=2",
"30-6=24",
"24/2=12"
] | Current State: 12:[68, 30, 66, 6], Operations: []
Exploring Operation: 68-66=2, Resulting Numbers: [30, 6, 2]
Generated Node #2: [30, 6, 2] from Operation: 68-66=2
Current State: 12:[30, 6, 2], Operations: ['68-66=2']
Exploring Operation: 30-6=24, Resulting Numbers: [2, 24]
Generated Node #3: [2, 24] from Operation: 30-6=24
Current State: 12:[2, 24], Operations: ['68-66=2', '30-6=24']
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
26,
3,
35,
63
] | 40 | [
"26+35=61",
"63/3=21",
"61-21=40"
] | Current State: 40:[26, 3, 35, 63], Operations: []
Exploring Operation: 26+35=61, Resulting Numbers: [3, 63, 61]
Generated Node #2: [3, 63, 61] from Operation: 26+35=61
Current State: 40:[3, 63, 61], Operations: ['26+35=61']
Exploring Operation: 63/3=21, Resulting Numbers: [61, 21]
Generated Node #3: [61, 21] from Operation: 63/3=21
Current State: 40:[61, 21], Operations: ['26+35=61', '63/3=21']
Exploring Operation: 61-21=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
1,
4,
42,
45
] | 15 | [
"1+4=5",
"45-42=3",
"5*3=15"
] | Current State: 15:[1, 4, 42, 45], Operations: []
Exploring Operation: 1+4=5, Resulting Numbers: [42, 45, 5]
Generated Node #2: [42, 45, 5] from Operation: 1+4=5
Current State: 15:[42, 45, 5], Operations: ['1+4=5']
Exploring Operation: 45-42=3, Resulting Numbers: [5, 3]
Generated Node #3: [5, 3] from Operation: 45-42=3
Current State: 15:[5, 3], Operations: ['1+4=5', '45-42=3']
Exploring Operation: 5*3=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
29,
64,
40,
17
] | 22 | [
"64-29=35",
"40+17=57",
"57-35=22"
] | Current State: 22:[29, 64, 40, 17], Operations: []
Exploring Operation: 64-29=35, Resulting Numbers: [40, 17, 35]
Generated Node #2: [40, 17, 35] from Operation: 64-29=35
Current State: 22:[40, 17, 35], Operations: ['64-29=35']
Exploring Operation: 40+17=57, Resulting Numbers: [35, 57]
Generated Node #3: [35, 57] from Operation: 40+17=57
Current State: 22:[35, 57], Operations: ['64-29=35', '40+17=57']
Exploring Operation: 57-35=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
62,
31,
24,
14
] | 76 | [
"62/31=2",
"24+14=38",
"2*38=76"
] | Current State: 76:[62, 31, 24, 14], Operations: []
Exploring Operation: 62/31=2, Resulting Numbers: [24, 14, 2]
Generated Node #2: [24, 14, 2] from Operation: 62/31=2
Current State: 76:[24, 14, 2], Operations: ['62/31=2']
Exploring Operation: 24+14=38, Resulting Numbers: [2, 38]
Generated Node #3: [2, 38] from Operation: 24+14=38
Current State: 76:[2, 38], Operations: ['62/31=2', '24+14=38']
Exploring Operation: 2*38=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
8,
43,
50,
61
] | 45 | [
"61-50=11",
"8*11=88",
"88-43=45"
] | Current State: 45:[8, 43, 50, 61], Operations: []
Exploring Operation: 61-50=11, Resulting Numbers: [8, 43, 11]
Generated Node #2: [8, 43, 11] from Operation: 61-50=11
Current State: 45:[8, 43, 11], Operations: ['61-50=11']
Exploring Operation: 8*11=88, Resulting Numbers: [43, 88]
Generated Node #3: [43, 88] from Operation: 8*11=88
Current State: 45:[43, 88], Operations: ['61-50=11', '8*11=88']
Exploring Operation: 88-43=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
48,
81,
79,
49
] | 73 | [
"81-79=2",
"48/2=24",
"49+24=73"
] | Current State: 73:[48, 81, 79, 49], Operations: []
Exploring Operation: 81-79=2, Resulting Numbers: [48, 49, 2]
Generated Node #2: [48, 49, 2] from Operation: 81-79=2
Current State: 73:[48, 49, 2], Operations: ['81-79=2']
Exploring Operation: 48/2=24, Resulting Numbers: [49, 24]
Generated Node #3: [49, 24] from Operation: 48/2=24
Current State: 73:[49, 24], Operations: ['81-79=2', '48/2=24']
Exploring Operation: 49+24=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
38,
11,
85,
86
] | 48 | [
"38+11=49",
"86-85=1",
"49-1=48"
] | Current State: 48:[38, 11, 85, 86], Operations: []
Exploring Operation: 38+11=49, Resulting Numbers: [85, 86, 49]
Generated Node #2: [85, 86, 49] from Operation: 38+11=49
Current State: 48:[85, 86, 49], Operations: ['38+11=49']
Exploring Operation: 86-85=1, Resulting Numbers: [49, 1]
Generated Node #3: [49, 1] from Operation: 86-85=1
Current State: 48:[49, 1], Operations: ['38+11=49', '86-85=1']
Exploring Operation: 49-1=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
58,
91,
63,
64
] | 94 | [
"91-58=33",
"63+64=127",
"127-33=94"
] | Current State: 94:[58, 91, 63, 64], Operations: []
Exploring Operation: 91-58=33, Resulting Numbers: [63, 64, 33]
Generated Node #2: [63, 64, 33] from Operation: 91-58=33
Current State: 94:[63, 64, 33], Operations: ['91-58=33']
Exploring Operation: 63+64=127, Resulting Numbers: [33, 127]
Generated Node #3: [33, 127] from Operation: 63+64=127
Current State: 94:[33, 127], Operations: ['91-58=33', '63+64=127']
Exploring Operation: 127-33=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
40,
84,
62,
46
] | 23 | [
"40+84=124",
"62*46=2852",
"2852/124=23"
] | Current State: 23:[40, 84, 62, 46], Operations: []
Exploring Operation: 40+84=124, Resulting Numbers: [62, 46, 124]
Generated Node #2: [62, 46, 124] from Operation: 40+84=124
Current State: 23:[62, 46, 124], Operations: ['40+84=124']
Exploring Operation: 62*46=2852, Resulting Numbers: [124, 2852]
Generated Node #3: [124, 2852] from Operation: 62*46=2852
Current State: 23:[124, 2852], Operations: ['40+84=124', '62*46=2852']
Exploring Operation: 2852/124=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
54,
2,
35,
78
] | 13 | [
"54+2=56",
"78-35=43",
"56-43=13"
] | Current State: 13:[54, 2, 35, 78], Operations: []
Exploring Operation: 54+2=56, Resulting Numbers: [35, 78, 56]
Generated Node #2: [35, 78, 56] from Operation: 54+2=56
Current State: 13:[35, 78, 56], Operations: ['54+2=56']
Exploring Operation: 78-35=43, Resulting Numbers: [56, 43]
Generated Node #3: [56, 43] from Operation: 78-35=43
Current State: 13:[56, 43], Operations: ['54+2=56', '78-35=43']
Exploring Operation: 56-43=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
64,
54,
3,
42
] | 68 | [
"54-42=12",
"12/3=4",
"64+4=68"
] | Current State: 68:[64, 54, 3, 42], Operations: []
Exploring Operation: 54-42=12, Resulting Numbers: [64, 3, 12]
Generated Node #2: [64, 3, 12] from Operation: 54-42=12
Current State: 68:[64, 3, 12], Operations: ['54-42=12']
Exploring Operation: 12/3=4, Resulting Numbers: [64, 4]
Generated Node #3: [64, 4] from Operation: 12/3=4
Current State: 68:[64, 4], Operations: ['54-42=12', '12/3=4']
Exploring Operation: 64+4=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
6,
66,
55,
64
] | 22 | [
"6+55=61",
"64-61=3",
"66/3=22"
] | Current State: 22:[6, 66, 55, 64], Operations: []
Exploring Operation: 6+55=61, Resulting Numbers: [66, 64, 61]
Generated Node #2: [66, 64, 61] from Operation: 6+55=61
Current State: 22:[66, 64, 61], Operations: ['6+55=61']
Exploring Operation: 64-61=3, Resulting Numbers: [66, 3]
Generated Node #3: [66, 3] from Operation: 64-61=3
Current State: 22:[66, 3], Operations: ['6+55=61', '64-61=3']
Exploring Operation: 66/3=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
37,
17,
55,
28
] | 47 | [
"37-17=20",
"55-28=27",
"20+27=47"
] | Current State: 47:[37, 17, 55, 28], Operations: []
Exploring Operation: 37-17=20, Resulting Numbers: [55, 28, 20]
Generated Node #2: [55, 28, 20] from Operation: 37-17=20
Current State: 47:[55, 28, 20], Operations: ['37-17=20']
Exploring Operation: 55-28=27, Resulting Numbers: [20, 27]
Generated Node #3: [20, 27] from Operation: 55-28=27
Current State: 47:[20, 27], Operations: ['37-17=20', '55-28=27']
Exploring Operation: 20+27=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
44,
21,
15,
11
] | 92 | [
"44-21=23",
"15-11=4",
"23*4=92"
] | Current State: 92:[44, 21, 15, 11], Operations: []
Exploring Operation: 44-21=23, Resulting Numbers: [15, 11, 23]
Generated Node #2: [15, 11, 23] from Operation: 44-21=23
Current State: 92:[15, 11, 23], Operations: ['44-21=23']
Exploring Operation: 15-11=4, Resulting Numbers: [23, 4]
Generated Node #3: [23, 4] from Operation: 15-11=4
Current State: 92:[23, 4], Operations: ['44-21=23', '15-11=4']
Exploring Operation: 23*4=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
77,
53,
42,
99
] | 92 | [
"53-42=11",
"77/11=7",
"99-7=92"
] | Current State: 92:[77, 53, 42, 99], Operations: []
Exploring Operation: 53-42=11, Resulting Numbers: [77, 99, 11]
Generated Node #2: [77, 99, 11] from Operation: 53-42=11
Current State: 92:[77, 99, 11], Operations: ['53-42=11']
Exploring Operation: 77/11=7, Resulting Numbers: [99, 7]
Generated Node #3: [99, 7] from Operation: 77/11=7
Current State: 92:[99, 7], Operations: ['53-42=11', '77/11=7']
Exploring Operation: 99-7=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
6,
52,
69,
4
] | 35 | [
"6-4=2",
"52*2=104",
"104-69=35"
] | Current State: 35:[6, 52, 69, 4], Operations: []
Exploring Operation: 6-4=2, Resulting Numbers: [52, 69, 2]
Generated Node #2: [52, 69, 2] from Operation: 6-4=2
Current State: 35:[52, 69, 2], Operations: ['6-4=2']
Exploring Operation: 52*2=104, Resulting Numbers: [69, 104]
Generated Node #3: [69, 104] from Operation: 52*2=104
Current State: 35:[69, 104], Operations: ['6-4=2', '52*2=104']
Exploring Operation: 104-69=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
97,
28,
58,
42
] | 10 | [
"58*42=2436",
"2436/28=87",
"97-87=10"
] | Current State: 10:[97, 28, 58, 42], Operations: []
Exploring Operation: 58*42=2436, Resulting Numbers: [97, 28, 2436]
Generated Node #2: [97, 28, 2436] from Operation: 58*42=2436
Current State: 10:[97, 28, 2436], Operations: ['58*42=2436']
Exploring Operation: 2436/28=87, Resulting Numbers: [97, 87]
Generated Node #3: [97, 87] from Operation: 2436/28=87
Current State: 10:[97, 87], Operations: ['58*42=2436', '2436/28=87']
Exploring Operation: 97-87=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
95,
18,
36,
17
] | 90 | [
"95*18=1710",
"36-17=19",
"1710/19=90"
] | Current State: 90:[95, 18, 36, 17], Operations: []
Exploring Operation: 95*18=1710, Resulting Numbers: [36, 17, 1710]
Generated Node #2: [36, 17, 1710] from Operation: 95*18=1710
Current State: 90:[36, 17, 1710], Operations: ['95*18=1710']
Exploring Operation: 36-17=19, Resulting Numbers: [1710, 19]
Generated Node #3: [1710, 19] from Operation: 36-17=19
Current State: 90:[1710, 19], Operations: ['95*18=1710', '36-17=19']
Exploring Operation: 1710/19=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
56,
27,
25,
7
] | 98 | [
"56-7=49",
"27-25=2",
"49*2=98"
] | Current State: 98:[56, 27, 25, 7], Operations: []
Exploring Operation: 56-7=49, Resulting Numbers: [27, 25, 49]
Generated Node #2: [27, 25, 49] from Operation: 56-7=49
Current State: 98:[27, 25, 49], Operations: ['56-7=49']
Exploring Operation: 27-25=2, Resulting Numbers: [49, 2]
Generated Node #3: [49, 2] from Operation: 27-25=2
Current State: 98:[49, 2], Operations: ['56-7=49', '27-25=2']
Exploring Operation: 49*2=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
45,
82,
74,
53
] | 16 | [
"82-45=37",
"74-53=21",
"37-21=16"
] | Current State: 16:[45, 82, 74, 53], Operations: []
Exploring Operation: 82-45=37, Resulting Numbers: [74, 53, 37]
Generated Node #2: [74, 53, 37] from Operation: 82-45=37
Current State: 16:[74, 53, 37], Operations: ['82-45=37']
Exploring Operation: 74-53=21, Resulting Numbers: [37, 21]
Generated Node #3: [37, 21] from Operation: 74-53=21
Current State: 16:[37, 21], Operations: ['82-45=37', '74-53=21']
Exploring Operation: 37-21=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
47,
10,
20,
34
] | 15 | [
"47-34=13",
"20/10=2",
"13+2=15"
] | Current State: 15:[47, 10, 20, 34], Operations: []
Exploring Operation: 47-34=13, Resulting Numbers: [10, 20, 13]
Generated Node #2: [10, 20, 13] from Operation: 47-34=13
Current State: 15:[10, 20, 13], Operations: ['47-34=13']
Exploring Operation: 20/10=2, Resulting Numbers: [13, 2]
Generated Node #3: [13, 2] from Operation: 20/10=2
Current State: 15:[13, 2], Operations: ['47-34=13', '20/10=2']
Exploring Operation: 13+2=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
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