nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
17,
31,
91,
1
] | 44 | [
"17+31=48",
"91+1=92",
"92-48=44"
] | Current State: 44:[17, 31, 91, 1], Operations: []
Exploring Operation: 17+31=48, Resulting Numbers: [91, 1, 48]
Generated Node #2: [91, 1, 48] from Operation: 17+31=48
Current State: 44:[91, 1, 48], Operations: ['17+31=48']
Exploring Operation: 91+1=92, Resulting Numbers: [48, 92]
Generated Node #3: [48, 92] from Operation: 91+1=92
Current State: 44:[48, 92], Operations: ['17+31=48', '91+1=92']
Exploring Operation: 92-48=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
7,
10,
91,
77
] | 74 | [
"91/7=13",
"10+77=87",
"87-13=74"
] | Current State: 74:[7, 10, 91, 77], Operations: []
Exploring Operation: 91/7=13, Resulting Numbers: [10, 77, 13]
Generated Node #2: [10, 77, 13] from Operation: 91/7=13
Current State: 74:[10, 77, 13], Operations: ['91/7=13']
Exploring Operation: 10+77=87, Resulting Numbers: [13, 87]
Generated Node #3: [13, 87] from Operation: 10+77=87
Current State: 74:[13, 87], Operations: ['91/7=13', '10+77=87']
Exploring Operation: 87-13=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
10,
18,
8,
61
] | 45 | [
"18-10=8",
"61-8=53",
"53-8=45"
] | Current State: 45:[10, 18, 8, 61], Operations: []
Exploring Operation: 18-10=8, Resulting Numbers: [8, 61, 8]
Generated Node #2: [8, 61, 8] from Operation: 18-10=8
Current State: 45:[8, 61, 8], Operations: ['18-10=8']
Exploring Operation: 61-8=53, Resulting Numbers: [53]
53,45 equal: Goal Reached
Exploring Operation: 53-8=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
3,
4,
23,
12
] | 85 | [
"3*23=69",
"4+12=16",
"69+16=85"
] | Current State: 85:[3, 4, 23, 12], Operations: []
Exploring Operation: 3*23=69, Resulting Numbers: [4, 12, 69]
Generated Node #2: [4, 12, 69] from Operation: 3*23=69
Current State: 85:[4, 12, 69], Operations: ['3*23=69']
Exploring Operation: 4+12=16, Resulting Numbers: [69, 16]
Generated Node #3: [69, 16] from Operation: 4+12=16
Current State: 85:[69, 16], Operations: ['3*23=69', '4+12=16']
Exploring Operation: 69+16=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
83,
40,
94,
3
] | 47 | [
"83-3=80",
"40*94=3760",
"3760/80=47"
] | Current State: 47:[83, 40, 94, 3], Operations: []
Exploring Operation: 83-3=80, Resulting Numbers: [40, 94, 80]
Generated Node #2: [40, 94, 80] from Operation: 83-3=80
Current State: 47:[40, 94, 80], Operations: ['83-3=80']
Exploring Operation: 40*94=3760, Resulting Numbers: [80, 3760]
Generated Node #3: [80, 3760] from Operation: 40*94=3760
Current State: 47:[80, 3760], Operations: ['83-3=80', '40*94=3760']
Exploring Operation: 3760/80=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
77,
45,
3,
73
] | 95 | [
"77+73=150",
"150/3=50",
"45+50=95"
] | Current State: 95:[77, 45, 3, 73], Operations: []
Exploring Operation: 77+73=150, Resulting Numbers: [45, 3, 150]
Generated Node #2: [45, 3, 150] from Operation: 77+73=150
Current State: 95:[45, 3, 150], Operations: ['77+73=150']
Exploring Operation: 150/3=50, Resulting Numbers: [45, 50]
Generated Node #3: [45, 50] from Operation: 150/3=50
Current State: 95:[45, 50], Operations: ['77+73=150', '150/3=50']
Exploring Operation: 45+50=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
21,
5,
3,
74
] | 94 | [
"5+3=8",
"21*8=168",
"168-74=94"
] | Current State: 94:[21, 5, 3, 74], Operations: []
Exploring Operation: 5+3=8, Resulting Numbers: [21, 74, 8]
Generated Node #2: [21, 74, 8] from Operation: 5+3=8
Current State: 94:[21, 74, 8], Operations: ['5+3=8']
Exploring Operation: 21*8=168, Resulting Numbers: [74, 168]
Generated Node #3: [74, 168] from Operation: 21*8=168
Current State: 94:[74, 168], Operations: ['5+3=8', '21*8=168']
Exploring Operation: 168-74=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
47,
1,
68,
1
] | 26 | [
"1+1=2",
"47*2=94",
"94-68=26"
] | Current State: 26:[47, 1, 68, 1], Operations: []
Exploring Operation: 1+1=2, Resulting Numbers: [47, 68, 2]
Generated Node #2: [47, 68, 2] from Operation: 1+1=2
Current State: 26:[47, 68, 2], Operations: ['1+1=2']
Exploring Operation: 47*2=94, Resulting Numbers: [68, 94]
Generated Node #3: [68, 94] from Operation: 47*2=94
Current State: 26:[68, 94], Operations: ['1+1=2', '47*2=94']
Exploring Operation: 94-68=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
16,
59,
87,
17
] | 61 | [
"59-16=43",
"87+17=104",
"104-43=61"
] | Current State: 61:[16, 59, 87, 17], Operations: []
Exploring Operation: 59-16=43, Resulting Numbers: [87, 17, 43]
Generated Node #2: [87, 17, 43] from Operation: 59-16=43
Current State: 61:[87, 17, 43], Operations: ['59-16=43']
Exploring Operation: 87+17=104, Resulting Numbers: [43, 104]
Generated Node #3: [43, 104] from Operation: 87+17=104
Current State: 61:[43, 104], Operations: ['59-16=43', '87+17=104']
Exploring Operation: 104-43=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
16,
40,
76,
95
] | 30 | [
"40-16=24",
"95*24=2280",
"2280/76=30"
] | Current State: 30:[16, 40, 76, 95], Operations: []
Exploring Operation: 40-16=24, Resulting Numbers: [76, 95, 24]
Generated Node #2: [76, 95, 24] from Operation: 40-16=24
Current State: 30:[76, 95, 24], Operations: ['40-16=24']
Exploring Operation: 95*24=2280, Resulting Numbers: [76, 2280]
Generated Node #3: [76, 2280] from Operation: 95*24=2280
Current State: 30:[76, 2280], Operations: ['40-16=24', '95*24=2280']
Exploring Operation: 2280/76=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
54,
86,
96,
56
] | 53 | [
"86-54=32",
"96/32=3",
"56-3=53"
] | Current State: 53:[54, 86, 96, 56], Operations: []
Exploring Operation: 86-54=32, Resulting Numbers: [96, 56, 32]
Generated Node #2: [96, 56, 32] from Operation: 86-54=32
Current State: 53:[96, 56, 32], Operations: ['86-54=32']
Exploring Operation: 96/32=3, Resulting Numbers: [56, 3]
Generated Node #3: [56, 3] from Operation: 96/32=3
Current State: 53:[56, 3], Operations: ['86-54=32', '96/32=3']
Exploring Operation: 56-3=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
32,
6,
29,
16
] | 78 | [
"32-29=3",
"16-3=13",
"6*13=78"
] | Current State: 78:[32, 6, 29, 16], Operations: []
Exploring Operation: 32-29=3, Resulting Numbers: [6, 16, 3]
Generated Node #2: [6, 16, 3] from Operation: 32-29=3
Current State: 78:[6, 16, 3], Operations: ['32-29=3']
Exploring Operation: 16-3=13, Resulting Numbers: [6, 13]
Generated Node #3: [6, 13] from Operation: 16-3=13
Current State: 78:[6, 13], Operations: ['32-29=3', '16-3=13']
Exploring Operation: 6*13=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
85,
63,
55,
24
] | 88 | [
"63-55=8",
"24/8=3",
"85+3=88"
] | Current State: 88:[85, 63, 55, 24], Operations: []
Exploring Operation: 63-55=8, Resulting Numbers: [85, 24, 8]
Generated Node #2: [85, 24, 8] from Operation: 63-55=8
Current State: 88:[85, 24, 8], Operations: ['63-55=8']
Exploring Operation: 24/8=3, Resulting Numbers: [85, 3]
Generated Node #3: [85, 3] from Operation: 24/8=3
Current State: 88:[85, 3], Operations: ['63-55=8', '24/8=3']
Exploring Operation: 85+3=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
38,
11,
41,
54
] | 29 | [
"41-38=3",
"54/3=18",
"11+18=29"
] | Current State: 29:[38, 11, 41, 54], Operations: []
Exploring Operation: 41-38=3, Resulting Numbers: [11, 54, 3]
Generated Node #2: [11, 54, 3] from Operation: 41-38=3
Current State: 29:[11, 54, 3], Operations: ['41-38=3']
Exploring Operation: 54/3=18, Resulting Numbers: [11, 18]
Generated Node #3: [11, 18] from Operation: 54/3=18
Current State: 29:[11, 18], Operations: ['41-38=3', '54/3=18']
Exploring Operation: 11+18=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
59,
32,
11,
87
] | 47 | [
"32*87=2784",
"2784-11=2773",
"2773/59=47"
] | Current State: 47:[59, 32, 11, 87], Operations: []
Exploring Operation: 32*87=2784, Resulting Numbers: [59, 11, 2784]
Generated Node #2: [59, 11, 2784] from Operation: 32*87=2784
Current State: 47:[59, 11, 2784], Operations: ['32*87=2784']
Exploring Operation: 2784-11=2773, Resulting Numbers: [59, 2773]
Generated Node #3: [59, 2773] from Operation: 2784-11=2773
Current State: 47:[59, 2773], Operations: ['32*87=2784', '2784-11=2773']
Exploring Operation: 2773/59=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
27,
71,
51,
37
] | 47 | [
"71+37=108",
"108/27=4",
"51-4=47"
] | Current State: 47:[27, 71, 51, 37], Operations: []
Exploring Operation: 71+37=108, Resulting Numbers: [27, 51, 108]
Generated Node #2: [27, 51, 108] from Operation: 71+37=108
Current State: 47:[27, 51, 108], Operations: ['71+37=108']
Exploring Operation: 108/27=4, Resulting Numbers: [51, 4]
Generated Node #3: [51, 4] from Operation: 108/27=4
Current State: 47:[51, 4], Operations: ['71+37=108', '108/27=4']
Exploring Operation: 51-4=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
2,
93,
94,
27
] | 56 | [
"94-93=1",
"27+1=28",
"2*28=56"
] | Current State: 56:[2, 93, 94, 27], Operations: []
Exploring Operation: 94-93=1, Resulting Numbers: [2, 27, 1]
Generated Node #2: [2, 27, 1] from Operation: 94-93=1
Current State: 56:[2, 27, 1], Operations: ['94-93=1']
Exploring Operation: 27+1=28, Resulting Numbers: [2, 28]
Generated Node #3: [2, 28] from Operation: 27+1=28
Current State: 56:[2, 28], Operations: ['94-93=1', '27+1=28']
Exploring Operation: 2*28=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
11,
5,
50,
12
] | 99 | [
"50-11=39",
"5*12=60",
"39+60=99"
] | Current State: 99:[11, 5, 50, 12], Operations: []
Exploring Operation: 50-11=39, Resulting Numbers: [5, 12, 39]
Generated Node #2: [5, 12, 39] from Operation: 50-11=39
Current State: 99:[5, 12, 39], Operations: ['50-11=39']
Exploring Operation: 5*12=60, Resulting Numbers: [39, 60]
Generated Node #3: [39, 60] from Operation: 5*12=60
Current State: 99:[39, 60], Operations: ['50-11=39', '5*12=60']
Exploring Operation: 39+60=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
2,
79,
76,
80
] | 78 | [
"2+76=78",
"80-79=1",
"78*1=78"
] | Current State: 78:[2, 79, 76, 80], Operations: []
Exploring Operation: 2+76=78, Resulting Numbers: [79, 80, 78]
Generated Node #2: [79, 80, 78] from Operation: 2+76=78
Current State: 78:[79, 80, 78], Operations: ['2+76=78']
Exploring Operation: 80-79=1, Resulting Numbers: [78, 1]
Generated Node #3: [78, 1] from Operation: 80-79=1
Current State: 78:[78, 1], Operations: ['2+76=78', '80-79=1']
Exploring Operation: 78*1=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
42,
11,
88,
98
] | 41 | [
"42-11=31",
"98-88=10",
"31+10=41"
] | Current State: 41:[42, 11, 88, 98], Operations: []
Exploring Operation: 42-11=31, Resulting Numbers: [88, 98, 31]
Generated Node #2: [88, 98, 31] from Operation: 42-11=31
Current State: 41:[88, 98, 31], Operations: ['42-11=31']
Exploring Operation: 98-88=10, Resulting Numbers: [31, 10]
Generated Node #3: [31, 10] from Operation: 98-88=10
Current State: 41:[31, 10], Operations: ['42-11=31', '98-88=10']
Exploring Operation: 31+10=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
43,
33,
97,
32
] | 41 | [
"97-33=64",
"64/32=2",
"43-2=41"
] | Current State: 41:[43, 33, 97, 32], Operations: []
Exploring Operation: 97-33=64, Resulting Numbers: [43, 32, 64]
Generated Node #2: [43, 32, 64] from Operation: 97-33=64
Current State: 41:[43, 32, 64], Operations: ['97-33=64']
Exploring Operation: 64/32=2, Resulting Numbers: [43, 2]
Generated Node #3: [43, 2] from Operation: 64/32=2
Current State: 41:[43, 2], Operations: ['97-33=64', '64/32=2']
Exploring Operation: 43-2=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
20,
23,
86,
88
] | 17 | [
"88-86=2",
"20*2=40",
"40-23=17"
] | Current State: 17:[20, 23, 86, 88], Operations: []
Exploring Operation: 88-86=2, Resulting Numbers: [20, 23, 2]
Generated Node #2: [20, 23, 2] from Operation: 88-86=2
Current State: 17:[20, 23, 2], Operations: ['88-86=2']
Exploring Operation: 20*2=40, Resulting Numbers: [23, 40]
Generated Node #3: [23, 40] from Operation: 20*2=40
Current State: 17:[23, 40], Operations: ['88-86=2', '20*2=40']
Exploring Operation: 40-23=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
2,
54,
73,
5
] | 25 | [
"54-2=52",
"73+52=125",
"125/5=25"
] | Current State: 25:[2, 54, 73, 5], Operations: []
Exploring Operation: 54-2=52, Resulting Numbers: [73, 5, 52]
Generated Node #2: [73, 5, 52] from Operation: 54-2=52
Current State: 25:[73, 5, 52], Operations: ['54-2=52']
Exploring Operation: 73+52=125, Resulting Numbers: [5, 125]
Generated Node #3: [5, 125] from Operation: 73+52=125
Current State: 25:[5, 125], Operations: ['54-2=52', '73+52=125']
Exploring Operation: 125/5=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
84,
90,
68,
70
] | 40 | [
"84*90=7560",
"7560/70=108",
"108-68=40"
] | Current State: 40:[84, 90, 68, 70], Operations: []
Exploring Operation: 84*90=7560, Resulting Numbers: [68, 70, 7560]
Generated Node #2: [68, 70, 7560] from Operation: 84*90=7560
Current State: 40:[68, 70, 7560], Operations: ['84*90=7560']
Exploring Operation: 7560/70=108, Resulting Numbers: [68, 108]
Generated Node #3: [68, 108] from Operation: 7560/70=108
Current State: 40:[68, 108], Operations: ['84*90=7560', '7560/70=108']
Exploring Operation: 108-68=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
56,
30,
38,
7
] | 71 | [
"56-30=26",
"38+7=45",
"26+45=71"
] | Current State: 71:[56, 30, 38, 7], Operations: []
Exploring Operation: 56-30=26, Resulting Numbers: [38, 7, 26]
Generated Node #2: [38, 7, 26] from Operation: 56-30=26
Current State: 71:[38, 7, 26], Operations: ['56-30=26']
Exploring Operation: 38+7=45, Resulting Numbers: [26, 45]
Generated Node #3: [26, 45] from Operation: 38+7=45
Current State: 71:[26, 45], Operations: ['56-30=26', '38+7=45']
Exploring Operation: 26+45=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
68,
10,
81,
71
] | 37 | [
"71-68=3",
"81/3=27",
"10+27=37"
] | Current State: 37:[68, 10, 81, 71], Operations: []
Exploring Operation: 71-68=3, Resulting Numbers: [10, 81, 3]
Generated Node #2: [10, 81, 3] from Operation: 71-68=3
Current State: 37:[10, 81, 3], Operations: ['71-68=3']
Exploring Operation: 81/3=27, Resulting Numbers: [10, 27]
Generated Node #3: [10, 27] from Operation: 81/3=27
Current State: 37:[10, 27], Operations: ['71-68=3', '81/3=27']
Exploring Operation: 10+27=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
29,
4,
92,
3
] | 31 | [
"29+92=121",
"3+121=124",
"124/4=31"
] | Current State: 31:[29, 4, 92, 3], Operations: []
Exploring Operation: 29+92=121, Resulting Numbers: [4, 3, 121]
Generated Node #2: [4, 3, 121] from Operation: 29+92=121
Current State: 31:[4, 3, 121], Operations: ['29+92=121']
Exploring Operation: 3+121=124, Resulting Numbers: [4, 124]
Generated Node #3: [4, 124] from Operation: 3+121=124
Current State: 31:[4, 124], Operations: ['29+92=121', '3+121=124']
Exploring Operation: 124/4=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
99,
52,
5,
67
] | 100 | [
"99-52=47",
"67-47=20",
"5*20=100"
] | Current State: 100:[99, 52, 5, 67], Operations: []
Exploring Operation: 99-52=47, Resulting Numbers: [5, 67, 47]
Generated Node #2: [5, 67, 47] from Operation: 99-52=47
Current State: 100:[5, 67, 47], Operations: ['99-52=47']
Exploring Operation: 67-47=20, Resulting Numbers: [5, 20]
Generated Node #3: [5, 20] from Operation: 67-47=20
Current State: 100:[5, 20], Operations: ['99-52=47', '67-47=20']
Exploring Operation: 5*20=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
24,
75,
17,
61
] | 32 | [
"75+61=136",
"136/17=8",
"24+8=32"
] | Current State: 32:[24, 75, 17, 61], Operations: []
Exploring Operation: 75+61=136, Resulting Numbers: [24, 17, 136]
Generated Node #2: [24, 17, 136] from Operation: 75+61=136
Current State: 32:[24, 17, 136], Operations: ['75+61=136']
Exploring Operation: 136/17=8, Resulting Numbers: [24, 8]
Generated Node #3: [24, 8] from Operation: 136/17=8
Current State: 32:[24, 8], Operations: ['75+61=136', '136/17=8']
Exploring Operation: 24+8=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
77,
36,
86,
61
] | 75 | [
"36+86=122",
"122/61=2",
"77-2=75"
] | Current State: 75:[77, 36, 86, 61], Operations: []
Exploring Operation: 36+86=122, Resulting Numbers: [77, 61, 122]
Generated Node #2: [77, 61, 122] from Operation: 36+86=122
Current State: 75:[77, 61, 122], Operations: ['36+86=122']
Exploring Operation: 122/61=2, Resulting Numbers: [77, 2]
Generated Node #3: [77, 2] from Operation: 122/61=2
Current State: 75:[77, 2], Operations: ['36+86=122', '122/61=2']
Exploring Operation: 77-2=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
22,
1,
13,
83
] | 73 | [
"22+1=23",
"13+83=96",
"96-23=73"
] | Current State: 73:[22, 1, 13, 83], Operations: []
Exploring Operation: 22+1=23, Resulting Numbers: [13, 83, 23]
Generated Node #2: [13, 83, 23] from Operation: 22+1=23
Current State: 73:[13, 83, 23], Operations: ['22+1=23']
Exploring Operation: 13+83=96, Resulting Numbers: [23, 96]
Generated Node #3: [23, 96] from Operation: 13+83=96
Current State: 73:[23, 96], Operations: ['22+1=23', '13+83=96']
Exploring Operation: 96-23=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
25,
82,
86,
3
] | 13 | [
"86-82=4",
"3*4=12",
"25-12=13"
] | Current State: 13:[25, 82, 86, 3], Operations: []
Exploring Operation: 86-82=4, Resulting Numbers: [25, 3, 4]
Generated Node #2: [25, 3, 4] from Operation: 86-82=4
Current State: 13:[25, 3, 4], Operations: ['86-82=4']
Exploring Operation: 3*4=12, Resulting Numbers: [25, 12]
Generated Node #3: [25, 12] from Operation: 3*4=12
Current State: 13:[25, 12], Operations: ['86-82=4', '3*4=12']
Exploring Operation: 25-12=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
3,
80,
32,
30
] | 81 | [
"3+80=83",
"32-30=2",
"83-2=81"
] | Current State: 81:[3, 80, 32, 30], Operations: []
Exploring Operation: 3+80=83, Resulting Numbers: [32, 30, 83]
Generated Node #2: [32, 30, 83] from Operation: 3+80=83
Current State: 81:[32, 30, 83], Operations: ['3+80=83']
Exploring Operation: 32-30=2, Resulting Numbers: [83, 2]
Generated Node #3: [83, 2] from Operation: 32-30=2
Current State: 81:[83, 2], Operations: ['3+80=83', '32-30=2']
Exploring Operation: 83-2=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
10,
20,
91,
9
] | 79 | [
"10+91=101",
"20*9=180",
"180-101=79"
] | Current State: 79:[10, 20, 91, 9], Operations: []
Exploring Operation: 10+91=101, Resulting Numbers: [20, 9, 101]
Generated Node #2: [20, 9, 101] from Operation: 10+91=101
Current State: 79:[20, 9, 101], Operations: ['10+91=101']
Exploring Operation: 20*9=180, Resulting Numbers: [101, 180]
Generated Node #3: [101, 180] from Operation: 20*9=180
Current State: 79:[101, 180], Operations: ['10+91=101', '20*9=180']
Exploring Operation: 180-101=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
66,
96,
77,
33
] | 52 | [
"66+96=162",
"77+33=110",
"162-110=52"
] | Current State: 52:[66, 96, 77, 33], Operations: []
Exploring Operation: 66+96=162, Resulting Numbers: [77, 33, 162]
Generated Node #2: [77, 33, 162] from Operation: 66+96=162
Current State: 52:[77, 33, 162], Operations: ['66+96=162']
Exploring Operation: 77+33=110, Resulting Numbers: [162, 110]
Generated Node #3: [162, 110] from Operation: 77+33=110
Current State: 52:[162, 110], Operations: ['66+96=162', '77+33=110']
Exploring Operation: 162-110=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
27,
79,
93,
4
] | 70 | [
"79+93=172",
"172/4=43",
"27+43=70"
] | Current State: 70:[27, 79, 93, 4], Operations: []
Exploring Operation: 79+93=172, Resulting Numbers: [27, 4, 172]
Generated Node #2: [27, 4, 172] from Operation: 79+93=172
Current State: 70:[27, 4, 172], Operations: ['79+93=172']
Exploring Operation: 172/4=43, Resulting Numbers: [27, 43]
Generated Node #3: [27, 43] from Operation: 172/4=43
Current State: 70:[27, 43], Operations: ['79+93=172', '172/4=43']
Exploring Operation: 27+43=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
54,
45,
27,
34
] | 62 | [
"54/27=2",
"34/2=17",
"45+17=62"
] | Current State: 62:[54, 45, 27, 34], Operations: []
Exploring Operation: 54/27=2, Resulting Numbers: [45, 34, 2]
Generated Node #2: [45, 34, 2] from Operation: 54/27=2
Current State: 62:[45, 34, 2], Operations: ['54/27=2']
Exploring Operation: 34/2=17, Resulting Numbers: [45, 17]
Generated Node #3: [45, 17] from Operation: 34/2=17
Current State: 62:[45, 17], Operations: ['54/27=2', '34/2=17']
Exploring Operation: 45+17=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
36,
90,
73,
73
] | 54 | [
"90-36=54",
"73-73=0",
"54+0=54"
] | Current State: 54:[36, 90, 73, 73], Operations: []
Exploring Operation: 90-36=54, Resulting Numbers: [73, 73, 54]
Generated Node #2: [73, 73, 54] from Operation: 90-36=54
Current State: 54:[73, 73, 54], Operations: ['90-36=54']
Exploring Operation: 73-73=0, Resulting Numbers: [54, 0]
Generated Node #3: [54, 0] from Operation: 73-73=0
Current State: 54:[54, 0], Operations: ['90-36=54', '73-73=0']
Exploring Operation: 54+0=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
26,
21,
58,
2
] | 24 | [
"26-21=5",
"58/2=29",
"29-5=24"
] | Current State: 24:[26, 21, 58, 2], Operations: []
Exploring Operation: 26-21=5, Resulting Numbers: [58, 2, 5]
Generated Node #2: [58, 2, 5] from Operation: 26-21=5
Current State: 24:[58, 2, 5], Operations: ['26-21=5']
Exploring Operation: 58/2=29, Resulting Numbers: [5, 29]
Generated Node #3: [5, 29] from Operation: 58/2=29
Current State: 24:[5, 29], Operations: ['26-21=5', '58/2=29']
Exploring Operation: 29-5=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
3,
6,
44,
99
] | 27 | [
"3*44=132",
"6+99=105",
"132-105=27"
] | Current State: 27:[3, 6, 44, 99], Operations: []
Exploring Operation: 3*44=132, Resulting Numbers: [6, 99, 132]
Generated Node #2: [6, 99, 132] from Operation: 3*44=132
Current State: 27:[6, 99, 132], Operations: ['3*44=132']
Exploring Operation: 6+99=105, Resulting Numbers: [132, 105]
Generated Node #3: [132, 105] from Operation: 6+99=105
Current State: 27:[132, 105], Operations: ['3*44=132', '6+99=105']
Exploring Operation: 132-105=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
76,
15,
4,
99
] | 97 | [
"99-15=84",
"84/4=21",
"76+21=97"
] | Current State: 97:[76, 15, 4, 99], Operations: []
Exploring Operation: 99-15=84, Resulting Numbers: [76, 4, 84]
Generated Node #2: [76, 4, 84] from Operation: 99-15=84
Current State: 97:[76, 4, 84], Operations: ['99-15=84']
Exploring Operation: 84/4=21, Resulting Numbers: [76, 21]
Generated Node #3: [76, 21] from Operation: 84/4=21
Current State: 97:[76, 21], Operations: ['99-15=84', '84/4=21']
Exploring Operation: 76+21=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
47,
96,
76,
75
] | 50 | [
"96-47=49",
"76-75=1",
"49+1=50"
] | Current State: 50:[47, 96, 76, 75], Operations: []
Exploring Operation: 96-47=49, Resulting Numbers: [76, 75, 49]
Generated Node #2: [76, 75, 49] from Operation: 96-47=49
Current State: 50:[76, 75, 49], Operations: ['96-47=49']
Exploring Operation: 76-75=1, Resulting Numbers: [49, 1]
Generated Node #3: [49, 1] from Operation: 76-75=1
Current State: 50:[49, 1], Operations: ['96-47=49', '76-75=1']
Exploring Operation: 49+1=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
13,
78,
87,
26
] | 48 | [
"13*78=1014",
"1014/26=39",
"87-39=48"
] | Current State: 48:[13, 78, 87, 26], Operations: []
Exploring Operation: 13*78=1014, Resulting Numbers: [87, 26, 1014]
Generated Node #2: [87, 26, 1014] from Operation: 13*78=1014
Current State: 48:[87, 26, 1014], Operations: ['13*78=1014']
Exploring Operation: 1014/26=39, Resulting Numbers: [87, 39]
Generated Node #3: [87, 39] from Operation: 1014/26=39
Current State: 48:[87, 39], Operations: ['13*78=1014', '1014/26=39']
Exploring Operation: 87-39=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
42,
34,
29,
7
] | 57 | [
"42-29=13",
"7*13=91",
"91-34=57"
] | Current State: 57:[42, 34, 29, 7], Operations: []
Exploring Operation: 42-29=13, Resulting Numbers: [34, 7, 13]
Generated Node #2: [34, 7, 13] from Operation: 42-29=13
Current State: 57:[34, 7, 13], Operations: ['42-29=13']
Exploring Operation: 7*13=91, Resulting Numbers: [34, 91]
Generated Node #3: [34, 91] from Operation: 7*13=91
Current State: 57:[34, 91], Operations: ['42-29=13', '7*13=91']
Exploring Operation: 91-34=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
44,
4,
14,
91
] | 29 | [
"44+4=48",
"91-14=77",
"77-48=29"
] | Current State: 29:[44, 4, 14, 91], Operations: []
Exploring Operation: 44+4=48, Resulting Numbers: [14, 91, 48]
Generated Node #2: [14, 91, 48] from Operation: 44+4=48
Current State: 29:[14, 91, 48], Operations: ['44+4=48']
Exploring Operation: 91-14=77, Resulting Numbers: [48, 77]
Generated Node #3: [48, 77] from Operation: 91-14=77
Current State: 29:[48, 77], Operations: ['44+4=48', '91-14=77']
Exploring Operation: 77-48=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
49,
20,
33,
21
] | 97 | [
"49*33=1617",
"1617/21=77",
"20+77=97"
] | Current State: 97:[49, 20, 33, 21], Operations: []
Exploring Operation: 49*33=1617, Resulting Numbers: [20, 21, 1617]
Generated Node #2: [20, 21, 1617] from Operation: 49*33=1617
Current State: 97:[20, 21, 1617], Operations: ['49*33=1617']
Exploring Operation: 1617/21=77, Resulting Numbers: [20, 77]
Generated Node #3: [20, 77] from Operation: 1617/21=77
Current State: 97:[20, 77], Operations: ['49*33=1617', '1617/21=77']
Exploring Operation: 20+77=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
7,
58,
67,
65
] | 36 | [
"67-65=2",
"58/2=29",
"7+29=36"
] | Current State: 36:[7, 58, 67, 65], Operations: []
Exploring Operation: 67-65=2, Resulting Numbers: [7, 58, 2]
Generated Node #2: [7, 58, 2] from Operation: 67-65=2
Current State: 36:[7, 58, 2], Operations: ['67-65=2']
Exploring Operation: 58/2=29, Resulting Numbers: [7, 29]
Generated Node #3: [7, 29] from Operation: 58/2=29
Current State: 36:[7, 29], Operations: ['67-65=2', '58/2=29']
Exploring Operation: 7+29=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
2,
92,
28,
10
] | 59 | [
"10/2=5",
"92-28=64",
"64-5=59"
] | Current State: 59:[2, 92, 28, 10], Operations: []
Exploring Operation: 10/2=5, Resulting Numbers: [92, 28, 5]
Generated Node #2: [92, 28, 5] from Operation: 10/2=5
Current State: 59:[92, 28, 5], Operations: ['10/2=5']
Exploring Operation: 92-28=64, Resulting Numbers: [5, 64]
Generated Node #3: [5, 64] from Operation: 92-28=64
Current State: 59:[5, 64], Operations: ['10/2=5', '92-28=64']
Exploring Operation: 64-5=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
72,
27,
95,
26
] | 24 | [
"72-27=45",
"95-26=69",
"69-45=24"
] | Current State: 24:[72, 27, 95, 26], Operations: []
Exploring Operation: 72-27=45, Resulting Numbers: [95, 26, 45]
Generated Node #2: [95, 26, 45] from Operation: 72-27=45
Current State: 24:[95, 26, 45], Operations: ['72-27=45']
Exploring Operation: 95-26=69, Resulting Numbers: [45, 69]
Generated Node #3: [45, 69] from Operation: 95-26=69
Current State: 24:[45, 69], Operations: ['72-27=45', '95-26=69']
Exploring Operation: 69-45=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
21,
11,
43,
17
] | 87 | [
"21-17=4",
"11*4=44",
"43+44=87"
] | Current State: 87:[21, 11, 43, 17], Operations: []
Exploring Operation: 21-17=4, Resulting Numbers: [11, 43, 4]
Generated Node #2: [11, 43, 4] from Operation: 21-17=4
Current State: 87:[11, 43, 4], Operations: ['21-17=4']
Exploring Operation: 11*4=44, Resulting Numbers: [43, 44]
Generated Node #3: [43, 44] from Operation: 11*4=44
Current State: 87:[43, 44], Operations: ['21-17=4', '11*4=44']
Exploring Operation: 43+44=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
2,
50,
57,
26
] | 58 | [
"50/2=25",
"57+26=83",
"83-25=58"
] | Current State: 58:[2, 50, 57, 26], Operations: []
Exploring Operation: 50/2=25, Resulting Numbers: [57, 26, 25]
Generated Node #2: [57, 26, 25] from Operation: 50/2=25
Current State: 58:[57, 26, 25], Operations: ['50/2=25']
Exploring Operation: 57+26=83, Resulting Numbers: [25, 83]
Generated Node #3: [25, 83] from Operation: 57+26=83
Current State: 58:[25, 83], Operations: ['50/2=25', '57+26=83']
Exploring Operation: 83-25=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
40,
25,
2,
11
] | 43 | [
"40+25=65",
"2*11=22",
"65-22=43"
] | Current State: 43:[40, 25, 2, 11], Operations: []
Exploring Operation: 40+25=65, Resulting Numbers: [2, 11, 65]
Generated Node #2: [2, 11, 65] from Operation: 40+25=65
Current State: 43:[2, 11, 65], Operations: ['40+25=65']
Exploring Operation: 2*11=22, Resulting Numbers: [65, 22]
Generated Node #3: [65, 22] from Operation: 2*11=22
Current State: 43:[65, 22], Operations: ['40+25=65', '2*11=22']
Exploring Operation: 65-22=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
96,
17,
45,
12
] | 91 | [
"96*17=1632",
"1632/12=136",
"136-45=91"
] | Current State: 91:[96, 17, 45, 12], Operations: []
Exploring Operation: 96*17=1632, Resulting Numbers: [45, 12, 1632]
Generated Node #2: [45, 12, 1632] from Operation: 96*17=1632
Current State: 91:[45, 12, 1632], Operations: ['96*17=1632']
Exploring Operation: 1632/12=136, Resulting Numbers: [45, 136]
Generated Node #3: [45, 136] from Operation: 1632/12=136
Current State: 91:[45, 136], Operations: ['96*17=1632', '1632/12=136']
Exploring Operation: 136-45=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
61,
80,
8,
4
] | 89 | [
"61+8=69",
"80/4=20",
"69+20=89"
] | Current State: 89:[61, 80, 8, 4], Operations: []
Exploring Operation: 61+8=69, Resulting Numbers: [80, 4, 69]
Generated Node #2: [80, 4, 69] from Operation: 61+8=69
Current State: 89:[80, 4, 69], Operations: ['61+8=69']
Exploring Operation: 80/4=20, Resulting Numbers: [69, 20]
Generated Node #3: [69, 20] from Operation: 80/4=20
Current State: 89:[69, 20], Operations: ['61+8=69', '80/4=20']
Exploring Operation: 69+20=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
64,
44,
27,
23
] | 30 | [
"64-44=20",
"27+23=50",
"50-20=30"
] | Current State: 30:[64, 44, 27, 23], Operations: []
Exploring Operation: 64-44=20, Resulting Numbers: [27, 23, 20]
Generated Node #2: [27, 23, 20] from Operation: 64-44=20
Current State: 30:[27, 23, 20], Operations: ['64-44=20']
Exploring Operation: 27+23=50, Resulting Numbers: [20, 50]
Generated Node #3: [20, 50] from Operation: 27+23=50
Current State: 30:[20, 50], Operations: ['64-44=20', '27+23=50']
Exploring Operation: 50-20=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
24,
3,
53,
15
] | 67 | [
"24/3=8",
"15*8=120",
"120-53=67"
] | Current State: 67:[24, 3, 53, 15], Operations: []
Exploring Operation: 24/3=8, Resulting Numbers: [53, 15, 8]
Generated Node #2: [53, 15, 8] from Operation: 24/3=8
Current State: 67:[53, 15, 8], Operations: ['24/3=8']
Exploring Operation: 15*8=120, Resulting Numbers: [53, 120]
Generated Node #3: [53, 120] from Operation: 15*8=120
Current State: 67:[53, 120], Operations: ['24/3=8', '15*8=120']
Exploring Operation: 120-53=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
65,
57,
61,
94
] | 33 | [
"65+57=122",
"61+94=155",
"155-122=33"
] | Current State: 33:[65, 57, 61, 94], Operations: []
Exploring Operation: 65+57=122, Resulting Numbers: [61, 94, 122]
Generated Node #2: [61, 94, 122] from Operation: 65+57=122
Current State: 33:[61, 94, 122], Operations: ['65+57=122']
Exploring Operation: 61+94=155, Resulting Numbers: [122, 155]
Generated Node #3: [122, 155] from Operation: 61+94=155
Current State: 33:[122, 155], Operations: ['65+57=122', '61+94=155']
Exploring Operation: 155-122=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
16,
33,
48,
34
] | 66 | [
"48-16=32",
"34-32=2",
"33*2=66"
] | Current State: 66:[16, 33, 48, 34], Operations: []
Exploring Operation: 48-16=32, Resulting Numbers: [33, 34, 32]
Generated Node #2: [33, 34, 32] from Operation: 48-16=32
Current State: 66:[33, 34, 32], Operations: ['48-16=32']
Exploring Operation: 34-32=2, Resulting Numbers: [33, 2]
Generated Node #3: [33, 2] from Operation: 34-32=2
Current State: 66:[33, 2], Operations: ['48-16=32', '34-32=2']
Exploring Operation: 33*2=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
3,
21,
48,
19
] | 72 | [
"3*48=144",
"21-19=2",
"144/2=72"
] | Current State: 72:[3, 21, 48, 19], Operations: []
Exploring Operation: 3*48=144, Resulting Numbers: [21, 19, 144]
Generated Node #2: [21, 19, 144] from Operation: 3*48=144
Current State: 72:[21, 19, 144], Operations: ['3*48=144']
Exploring Operation: 21-19=2, Resulting Numbers: [144, 2]
Generated Node #3: [144, 2] from Operation: 21-19=2
Current State: 72:[144, 2], Operations: ['3*48=144', '21-19=2']
Exploring Operation: 144/2=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
88,
8,
88,
76
] | 54 | [
"88+88=176",
"176/8=22",
"76-22=54"
] | Current State: 54:[88, 8, 88, 76], Operations: []
Exploring Operation: 88+88=176, Resulting Numbers: [8, 76, 176]
Generated Node #2: [8, 76, 176] from Operation: 88+88=176
Current State: 54:[8, 76, 176], Operations: ['88+88=176']
Exploring Operation: 176/8=22, Resulting Numbers: [76, 22]
Generated Node #3: [76, 22] from Operation: 176/8=22
Current State: 54:[76, 22], Operations: ['88+88=176', '176/8=22']
Exploring Operation: 76-22=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
16,
50,
9,
39
] | 64 | [
"50-16=34",
"39-9=30",
"34+30=64"
] | Current State: 64:[16, 50, 9, 39], Operations: []
Exploring Operation: 50-16=34, Resulting Numbers: [9, 39, 34]
Generated Node #2: [9, 39, 34] from Operation: 50-16=34
Current State: 64:[9, 39, 34], Operations: ['50-16=34']
Exploring Operation: 39-9=30, Resulting Numbers: [34, 30]
Generated Node #3: [34, 30] from Operation: 39-9=30
Current State: 64:[34, 30], Operations: ['50-16=34', '39-9=30']
Exploring Operation: 34+30=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
59,
31,
74,
72
] | 56 | [
"59+31=90",
"74+72=146",
"146-90=56"
] | Current State: 56:[59, 31, 74, 72], Operations: []
Exploring Operation: 59+31=90, Resulting Numbers: [74, 72, 90]
Generated Node #2: [74, 72, 90] from Operation: 59+31=90
Current State: 56:[74, 72, 90], Operations: ['59+31=90']
Exploring Operation: 74+72=146, Resulting Numbers: [90, 146]
Generated Node #3: [90, 146] from Operation: 74+72=146
Current State: 56:[90, 146], Operations: ['59+31=90', '74+72=146']
Exploring Operation: 146-90=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
95,
4,
94,
72
] | 68 | [
"95-94=1",
"72-4=68",
"1*68=68"
] | Current State: 68:[95, 4, 94, 72], Operations: []
Exploring Operation: 95-94=1, Resulting Numbers: [4, 72, 1]
Generated Node #2: [4, 72, 1] from Operation: 95-94=1
Current State: 68:[4, 72, 1], Operations: ['95-94=1']
Exploring Operation: 72-4=68, Resulting Numbers: [1, 68]
Generated Node #3: [1, 68] from Operation: 72-4=68
Current State: 68:[1, 68], Operations: ['95-94=1', '72-4=68']
Exploring Operation: 1*68=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
65,
64,
33,
24
] | 23 | [
"64*33=2112",
"2112/24=88",
"88-65=23"
] | Current State: 23:[65, 64, 33, 24], Operations: []
Exploring Operation: 64*33=2112, Resulting Numbers: [65, 24, 2112]
Generated Node #2: [65, 24, 2112] from Operation: 64*33=2112
Current State: 23:[65, 24, 2112], Operations: ['64*33=2112']
Exploring Operation: 2112/24=88, Resulting Numbers: [65, 88]
Generated Node #3: [65, 88] from Operation: 2112/24=88
Current State: 23:[65, 88], Operations: ['64*33=2112', '2112/24=88']
Exploring Operation: 88-65=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
38,
26,
30,
4
] | 28 | [
"38-30=8",
"8/4=2",
"26+2=28"
] | Current State: 28:[38, 26, 30, 4], Operations: []
Exploring Operation: 38-30=8, Resulting Numbers: [26, 4, 8]
Generated Node #2: [26, 4, 8] from Operation: 38-30=8
Current State: 28:[26, 4, 8], Operations: ['38-30=8']
Exploring Operation: 8/4=2, Resulting Numbers: [26, 2]
Generated Node #3: [26, 2] from Operation: 8/4=2
Current State: 28:[26, 2], Operations: ['38-30=8', '8/4=2']
Exploring Operation: 26+2=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
76,
2,
34,
86
] | 31 | [
"76+34=110",
"110/2=55",
"86-55=31"
] | Current State: 31:[76, 2, 34, 86], Operations: []
Exploring Operation: 76+34=110, Resulting Numbers: [2, 86, 110]
Generated Node #2: [2, 86, 110] from Operation: 76+34=110
Current State: 31:[2, 86, 110], Operations: ['76+34=110']
Exploring Operation: 110/2=55, Resulting Numbers: [86, 55]
Generated Node #3: [86, 55] from Operation: 110/2=55
Current State: 31:[86, 55], Operations: ['76+34=110', '110/2=55']
Exploring Operation: 86-55=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
10,
35,
85,
28
] | 60 | [
"85-10=75",
"28*75=2100",
"2100/35=60"
] | Current State: 60:[10, 35, 85, 28], Operations: []
Exploring Operation: 85-10=75, Resulting Numbers: [35, 28, 75]
Generated Node #2: [35, 28, 75] from Operation: 85-10=75
Current State: 60:[35, 28, 75], Operations: ['85-10=75']
Exploring Operation: 28*75=2100, Resulting Numbers: [35, 2100]
Generated Node #3: [35, 2100] from Operation: 28*75=2100
Current State: 60:[35, 2100], Operations: ['85-10=75', '28*75=2100']
Exploring Operation: 2100/35=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
74,
11,
66,
66
] | 48 | [
"74-66=8",
"66/11=6",
"8*6=48"
] | Current State: 48:[74, 11, 66, 66], Operations: []
Exploring Operation: 74-66=8, Resulting Numbers: [11, 8]
Generated Node #2: [11, 8] from Operation: 74-66=8
Current State: 48:[11, 8], Operations: ['74-66=8']
Exploring Operation: 66/11=6, Resulting Numbers: [8, 6]
Generated Node #3: [8, 6] from Operation: 66/11=6
Current State: 48:[8, 6], Operations: ['74-66=8', '66/11=6']
Exploring Operation: 8*6=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
33,
64,
62,
46
] | 81 | [
"33+64=97",
"62-46=16",
"97-16=81"
] | Current State: 81:[33, 64, 62, 46], Operations: []
Exploring Operation: 33+64=97, Resulting Numbers: [62, 46, 97]
Generated Node #2: [62, 46, 97] from Operation: 33+64=97
Current State: 81:[62, 46, 97], Operations: ['33+64=97']
Exploring Operation: 62-46=16, Resulting Numbers: [97, 16]
Generated Node #3: [97, 16] from Operation: 62-46=16
Current State: 81:[97, 16], Operations: ['33+64=97', '62-46=16']
Exploring Operation: 97-16=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
9,
81,
21,
38
] | 68 | [
"81/9=9",
"21+38=59",
"9+59=68"
] | Current State: 68:[9, 81, 21, 38], Operations: []
Exploring Operation: 81/9=9, Resulting Numbers: [21, 38, 9]
Generated Node #2: [21, 38, 9] from Operation: 81/9=9
Current State: 68:[21, 38, 9], Operations: ['81/9=9']
Exploring Operation: 21+38=59, Resulting Numbers: [9, 59]
Generated Node #3: [9, 59] from Operation: 21+38=59
Current State: 68:[9, 59], Operations: ['81/9=9', '21+38=59']
Exploring Operation: 9+59=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
32,
20,
8,
10
] | 42 | [
"32+8=40",
"20/10=2",
"40+2=42"
] | Current State: 42:[32, 20, 8, 10], Operations: []
Exploring Operation: 32+8=40, Resulting Numbers: [20, 10, 40]
Generated Node #2: [20, 10, 40] from Operation: 32+8=40
Current State: 42:[20, 10, 40], Operations: ['32+8=40']
Exploring Operation: 20/10=2, Resulting Numbers: [40, 2]
Generated Node #3: [40, 2] from Operation: 20/10=2
Current State: 42:[40, 2], Operations: ['32+8=40', '20/10=2']
Exploring Operation: 40+2=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
61,
98,
64,
14
] | 81 | [
"61+98=159",
"64+14=78",
"159-78=81"
] | Current State: 81:[61, 98, 64, 14], Operations: []
Exploring Operation: 61+98=159, Resulting Numbers: [64, 14, 159]
Generated Node #2: [64, 14, 159] from Operation: 61+98=159
Current State: 81:[64, 14, 159], Operations: ['61+98=159']
Exploring Operation: 64+14=78, Resulting Numbers: [159, 78]
Generated Node #3: [159, 78] from Operation: 64+14=78
Current State: 81:[159, 78], Operations: ['61+98=159', '64+14=78']
Exploring Operation: 159-78=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
7,
8,
36,
6
] | 15 | [
"7+8=15",
"36-6=30",
"30-15=15"
] | Current State: 15:[7, 8, 36, 6], Operations: []
Exploring Operation: 7+8=15, Resulting Numbers: [36, 6, 15]
Generated Node #2: [36, 6, 15] from Operation: 7+8=15
Current State: 15:[36, 6, 15], Operations: ['7+8=15']
Exploring Operation: 36-6=30, Resulting Numbers: [15, 30]
Generated Node #3: [15, 30] from Operation: 36-6=30
Current State: 15:[15, 30], Operations: ['7+8=15', '36-6=30']
Exploring Operation: 30-15=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
27,
51,
86,
21
] | 13 | [
"27+51=78",
"86-21=65",
"78-65=13"
] | Current State: 13:[27, 51, 86, 21], Operations: []
Exploring Operation: 27+51=78, Resulting Numbers: [86, 21, 78]
Generated Node #2: [86, 21, 78] from Operation: 27+51=78
Current State: 13:[86, 21, 78], Operations: ['27+51=78']
Exploring Operation: 86-21=65, Resulting Numbers: [78, 65]
Generated Node #3: [78, 65] from Operation: 86-21=65
Current State: 13:[78, 65], Operations: ['27+51=78', '86-21=65']
Exploring Operation: 78-65=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
37,
79,
58,
40
] | 38 | [
"37+79=116",
"116/58=2",
"40-2=38"
] | Current State: 38:[37, 79, 58, 40], Operations: []
Exploring Operation: 37+79=116, Resulting Numbers: [58, 40, 116]
Generated Node #2: [58, 40, 116] from Operation: 37+79=116
Current State: 38:[58, 40, 116], Operations: ['37+79=116']
Exploring Operation: 116/58=2, Resulting Numbers: [40, 2]
Generated Node #3: [40, 2] from Operation: 116/58=2
Current State: 38:[40, 2], Operations: ['37+79=116', '116/58=2']
Exploring Operation: 40-2=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
80,
50,
12,
90
] | 12 | [
"80*90=7200",
"50*12=600",
"7200/600=12"
] | Current State: 12:[80, 50, 12, 90], Operations: []
Exploring Operation: 80*90=7200, Resulting Numbers: [50, 12, 7200]
Generated Node #2: [50, 12, 7200] from Operation: 80*90=7200
Current State: 12:[50, 12, 7200], Operations: ['80*90=7200']
Exploring Operation: 50*12=600, Resulting Numbers: [7200, 600]
Generated Node #3: [7200, 600] from Operation: 50*12=600
Current State: 12:[7200, 600], Operations: ['80*90=7200', '50*12=600']
Exploring Operation: 7200/600=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
78,
73,
20,
34
] | 38 | [
"78-73=5",
"20/5=4",
"34+4=38"
] | Current State: 38:[78, 73, 20, 34], Operations: []
Exploring Operation: 78-73=5, Resulting Numbers: [20, 34, 5]
Generated Node #2: [20, 34, 5] from Operation: 78-73=5
Current State: 38:[20, 34, 5], Operations: ['78-73=5']
Exploring Operation: 20/5=4, Resulting Numbers: [34, 4]
Generated Node #3: [34, 4] from Operation: 20/5=4
Current State: 38:[34, 4], Operations: ['78-73=5', '20/5=4']
Exploring Operation: 34+4=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
3,
33,
78,
87
] | 22 | [
"78+87=165",
"165/3=55",
"55-33=22"
] | Current State: 22:[3, 33, 78, 87], Operations: []
Exploring Operation: 78+87=165, Resulting Numbers: [3, 33, 165]
Generated Node #2: [3, 33, 165] from Operation: 78+87=165
Current State: 22:[3, 33, 165], Operations: ['78+87=165']
Exploring Operation: 165/3=55, Resulting Numbers: [33, 55]
Generated Node #3: [33, 55] from Operation: 165/3=55
Current State: 22:[33, 55], Operations: ['78+87=165', '165/3=55']
Exploring Operation: 55-33=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
26,
5,
3,
5
] | 98 | [
"26+5=31",
"3*31=93",
"5+93=98"
] | Current State: 98:[26, 5, 3, 5], Operations: []
Exploring Operation: 26+5=31, Resulting Numbers: [3, 31]
Generated Node #2: [3, 31] from Operation: 26+5=31
Current State: 98:[3, 31], Operations: ['26+5=31']
Exploring Operation: 3*31=93, Resulting Numbers: [93]
93,98 equal: Goal Reached
Exploring Operation: 5+93=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
75,
27,
69,
66
] | 99 | [
"75+27=102",
"69-66=3",
"102-3=99"
] | Current State: 99:[75, 27, 69, 66], Operations: []
Exploring Operation: 75+27=102, Resulting Numbers: [69, 66, 102]
Generated Node #2: [69, 66, 102] from Operation: 75+27=102
Current State: 99:[69, 66, 102], Operations: ['75+27=102']
Exploring Operation: 69-66=3, Resulting Numbers: [102, 3]
Generated Node #3: [102, 3] from Operation: 69-66=3
Current State: 99:[102, 3], Operations: ['75+27=102', '69-66=3']
Exploring Operation: 102-3=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
25,
69,
28,
77
] | 61 | [
"69-25=44",
"28+77=105",
"105-44=61"
] | Current State: 61:[25, 69, 28, 77], Operations: []
Exploring Operation: 69-25=44, Resulting Numbers: [28, 77, 44]
Generated Node #2: [28, 77, 44] from Operation: 69-25=44
Current State: 61:[28, 77, 44], Operations: ['69-25=44']
Exploring Operation: 28+77=105, Resulting Numbers: [44, 105]
Generated Node #3: [44, 105] from Operation: 28+77=105
Current State: 61:[44, 105], Operations: ['69-25=44', '28+77=105']
Exploring Operation: 105-44=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
15,
37,
3,
14
] | 69 | [
"15+37=52",
"3+14=17",
"52+17=69"
] | Current State: 69:[15, 37, 3, 14], Operations: []
Exploring Operation: 15+37=52, Resulting Numbers: [3, 14, 52]
Generated Node #2: [3, 14, 52] from Operation: 15+37=52
Current State: 69:[3, 14, 52], Operations: ['15+37=52']
Exploring Operation: 3+14=17, Resulting Numbers: [52, 17]
Generated Node #3: [52, 17] from Operation: 3+14=17
Current State: 69:[52, 17], Operations: ['15+37=52', '3+14=17']
Exploring Operation: 52+17=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
4,
45,
15,
61
] | 35 | [
"45-4=41",
"15+61=76",
"76-41=35"
] | Current State: 35:[4, 45, 15, 61], Operations: []
Exploring Operation: 45-4=41, Resulting Numbers: [15, 61, 41]
Generated Node #2: [15, 61, 41] from Operation: 45-4=41
Current State: 35:[15, 61, 41], Operations: ['45-4=41']
Exploring Operation: 15+61=76, Resulting Numbers: [41, 76]
Generated Node #3: [41, 76] from Operation: 15+61=76
Current State: 35:[41, 76], Operations: ['45-4=41', '15+61=76']
Exploring Operation: 76-41=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
11,
80,
16,
25
] | 45 | [
"16-11=5",
"25*5=125",
"125-80=45"
] | Current State: 45:[11, 80, 16, 25], Operations: []
Exploring Operation: 16-11=5, Resulting Numbers: [80, 25, 5]
Generated Node #2: [80, 25, 5] from Operation: 16-11=5
Current State: 45:[80, 25, 5], Operations: ['16-11=5']
Exploring Operation: 25*5=125, Resulting Numbers: [80, 125]
Generated Node #3: [80, 125] from Operation: 25*5=125
Current State: 45:[80, 125], Operations: ['16-11=5', '25*5=125']
Exploring Operation: 125-80=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
63,
81,
59,
64
] | 65 | [
"63-59=4",
"64/4=16",
"81-16=65"
] | Current State: 65:[63, 81, 59, 64], Operations: []
Exploring Operation: 63-59=4, Resulting Numbers: [81, 64, 4]
Generated Node #2: [81, 64, 4] from Operation: 63-59=4
Current State: 65:[81, 64, 4], Operations: ['63-59=4']
Exploring Operation: 64/4=16, Resulting Numbers: [81, 16]
Generated Node #3: [81, 16] from Operation: 64/4=16
Current State: 65:[81, 16], Operations: ['63-59=4', '64/4=16']
Exploring Operation: 81-16=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
35,
73,
14,
98
] | 46 | [
"73-35=38",
"98-14=84",
"84-38=46"
] | Current State: 46:[35, 73, 14, 98], Operations: []
Exploring Operation: 73-35=38, Resulting Numbers: [14, 98, 38]
Generated Node #2: [14, 98, 38] from Operation: 73-35=38
Current State: 46:[14, 98, 38], Operations: ['73-35=38']
Exploring Operation: 98-14=84, Resulting Numbers: [38, 84]
Generated Node #3: [38, 84] from Operation: 98-14=84
Current State: 46:[38, 84], Operations: ['73-35=38', '98-14=84']
Exploring Operation: 84-38=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
29,
22,
52,
34
] | 35 | [
"29+22=51",
"52+34=86",
"86-51=35"
] | Current State: 35:[29, 22, 52, 34], Operations: []
Exploring Operation: 29+22=51, Resulting Numbers: [52, 34, 51]
Generated Node #2: [52, 34, 51] from Operation: 29+22=51
Current State: 35:[52, 34, 51], Operations: ['29+22=51']
Exploring Operation: 52+34=86, Resulting Numbers: [51, 86]
Generated Node #3: [51, 86] from Operation: 52+34=86
Current State: 35:[51, 86], Operations: ['29+22=51', '52+34=86']
Exploring Operation: 86-51=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
56,
28,
14,
94
] | 52 | [
"56-28=28",
"94-14=80",
"80-28=52"
] | Current State: 52:[56, 28, 14, 94], Operations: []
Exploring Operation: 56-28=28, Resulting Numbers: [14, 94, 28]
Generated Node #2: [14, 94, 28] from Operation: 56-28=28
Current State: 52:[14, 94, 28], Operations: ['56-28=28']
Exploring Operation: 94-14=80, Resulting Numbers: [28, 80]
Generated Node #3: [28, 80] from Operation: 94-14=80
Current State: 52:[28, 80], Operations: ['56-28=28', '94-14=80']
Exploring Operation: 80-28=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
54,
38,
13,
5
] | 71 | [
"38-13=25",
"5*25=125",
"125-54=71"
] | Current State: 71:[54, 38, 13, 5], Operations: []
Exploring Operation: 38-13=25, Resulting Numbers: [54, 5, 25]
Generated Node #2: [54, 5, 25] from Operation: 38-13=25
Current State: 71:[54, 5, 25], Operations: ['38-13=25']
Exploring Operation: 5*25=125, Resulting Numbers: [54, 125]
Generated Node #3: [54, 125] from Operation: 5*25=125
Current State: 71:[54, 125], Operations: ['38-13=25', '5*25=125']
Exploring Operation: 125-54=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
38,
80,
34,
14
] | 70 | [
"38+80=118",
"34+14=48",
"118-48=70"
] | Current State: 70:[38, 80, 34, 14], Operations: []
Exploring Operation: 38+80=118, Resulting Numbers: [34, 14, 118]
Generated Node #2: [34, 14, 118] from Operation: 38+80=118
Current State: 70:[34, 14, 118], Operations: ['38+80=118']
Exploring Operation: 34+14=48, Resulting Numbers: [118, 48]
Generated Node #3: [118, 48] from Operation: 34+14=48
Current State: 70:[118, 48], Operations: ['38+80=118', '34+14=48']
Exploring Operation: 118-48=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
81,
80,
15,
27
] | 12 | [
"81-80=1",
"27-15=12",
"1*12=12"
] | Current State: 12:[81, 80, 15, 27], Operations: []
Exploring Operation: 81-80=1, Resulting Numbers: [15, 27, 1]
Generated Node #2: [15, 27, 1] from Operation: 81-80=1
Current State: 12:[15, 27, 1], Operations: ['81-80=1']
Exploring Operation: 27-15=12, Resulting Numbers: [1, 12]
Generated Node #3: [1, 12] from Operation: 27-15=12
Current State: 12:[1, 12], Operations: ['81-80=1', '27-15=12']
Exploring Operation: 1*12=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
20,
84,
32,
4
] | 36 | [
"84-20=64",
"32-4=28",
"64-28=36"
] | Current State: 36:[20, 84, 32, 4], Operations: []
Exploring Operation: 84-20=64, Resulting Numbers: [32, 4, 64]
Generated Node #2: [32, 4, 64] from Operation: 84-20=64
Current State: 36:[32, 4, 64], Operations: ['84-20=64']
Exploring Operation: 32-4=28, Resulting Numbers: [64, 28]
Generated Node #3: [64, 28] from Operation: 32-4=28
Current State: 36:[64, 28], Operations: ['84-20=64', '32-4=28']
Exploring Operation: 64-28=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
88,
77,
45,
25
] | 59 | [
"88-77=11",
"45+25=70",
"70-11=59"
] | Current State: 59:[88, 77, 45, 25], Operations: []
Exploring Operation: 88-77=11, Resulting Numbers: [45, 25, 11]
Generated Node #2: [45, 25, 11] from Operation: 88-77=11
Current State: 59:[45, 25, 11], Operations: ['88-77=11']
Exploring Operation: 45+25=70, Resulting Numbers: [11, 70]
Generated Node #3: [11, 70] from Operation: 45+25=70
Current State: 59:[11, 70], Operations: ['88-77=11', '45+25=70']
Exploring Operation: 70-11=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
83,
21,
73,
35
] | 24 | [
"83-21=62",
"73-35=38",
"62-38=24"
] | Current State: 24:[83, 21, 73, 35], Operations: []
Exploring Operation: 83-21=62, Resulting Numbers: [73, 35, 62]
Generated Node #2: [73, 35, 62] from Operation: 83-21=62
Current State: 24:[73, 35, 62], Operations: ['83-21=62']
Exploring Operation: 73-35=38, Resulting Numbers: [62, 38]
Generated Node #3: [62, 38] from Operation: 73-35=38
Current State: 24:[62, 38], Operations: ['83-21=62', '73-35=38']
Exploring Operation: 62-38=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
17,
3,
72,
1
] | 40 | [
"17-1=16",
"72/3=24",
"16+24=40"
] | Current State: 40:[17, 3, 72, 1], Operations: []
Exploring Operation: 17-1=16, Resulting Numbers: [3, 72, 16]
Generated Node #2: [3, 72, 16] from Operation: 17-1=16
Current State: 40:[3, 72, 16], Operations: ['17-1=16']
Exploring Operation: 72/3=24, Resulting Numbers: [16, 24]
Generated Node #3: [16, 24] from Operation: 72/3=24
Current State: 40:[16, 24], Operations: ['17-1=16', '72/3=24']
Exploring Operation: 16+24=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
61,
62,
79,
86
] | 42 | [
"61+62=123",
"79+86=165",
"165-123=42"
] | Current State: 42:[61, 62, 79, 86], Operations: []
Exploring Operation: 61+62=123, Resulting Numbers: [79, 86, 123]
Generated Node #2: [79, 86, 123] from Operation: 61+62=123
Current State: 42:[79, 86, 123], Operations: ['61+62=123']
Exploring Operation: 79+86=165, Resulting Numbers: [123, 165]
Generated Node #3: [123, 165] from Operation: 79+86=165
Current State: 42:[123, 165], Operations: ['61+62=123', '79+86=165']
Exploring Operation: 165-123=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
21,
63,
22,
2
] | 16 | [
"63/21=3",
"2*3=6",
"22-6=16"
] | Current State: 16:[21, 63, 22, 2], Operations: []
Exploring Operation: 63/21=3, Resulting Numbers: [22, 2, 3]
Generated Node #2: [22, 2, 3] from Operation: 63/21=3
Current State: 16:[22, 2, 3], Operations: ['63/21=3']
Exploring Operation: 2*3=6, Resulting Numbers: [22, 6]
Generated Node #3: [22, 6] from Operation: 2*3=6
Current State: 16:[22, 6], Operations: ['63/21=3', '2*3=6']
Exploring Operation: 22-6=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
47,
55,
47,
3
] | 42 | [
"55-47=8",
"47+3=50",
"50-8=42"
] | Current State: 42:[47, 55, 47, 3], Operations: []
Exploring Operation: 55-47=8, Resulting Numbers: [3, 8]
Generated Node #2: [3, 8] from Operation: 55-47=8
Current State: 42:[3, 8], Operations: ['55-47=8']
Exploring Operation: 47+3=50, Resulting Numbers: [8, 50]
Generated Node #3: [8, 50] from Operation: 47+3=50
Current State: 42:[8, 50], Operations: ['55-47=8', '47+3=50']
Exploring Operation: 50-8=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
19,
29,
20,
78
] | 93 | [
"29-20=9",
"19*9=171",
"171-78=93"
] | Current State: 93:[19, 29, 20, 78], Operations: []
Exploring Operation: 29-20=9, Resulting Numbers: [19, 78, 9]
Generated Node #2: [19, 78, 9] from Operation: 29-20=9
Current State: 93:[19, 78, 9], Operations: ['29-20=9']
Exploring Operation: 19*9=171, Resulting Numbers: [78, 171]
Generated Node #3: [78, 171] from Operation: 19*9=171
Current State: 93:[78, 171], Operations: ['29-20=9', '19*9=171']
Exploring Operation: 171-78=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
3,
65,
3,
29
] | 30 | [
"65-3=62",
"3+29=32",
"62-32=30"
] | Current State: 30:[3, 65, 3, 29], Operations: []
Exploring Operation: 65-3=62, Resulting Numbers: [29, 62]
Generated Node #2: [29, 62] from Operation: 65-3=62
Current State: 30:[29, 62], Operations: ['65-3=62']
Exploring Operation: 3+29=32, Resulting Numbers: [62, 32]
Generated Node #3: [62, 32] from Operation: 3+29=32
Current State: 30:[62, 32], Operations: ['65-3=62', '3+29=32']
Exploring Operation: 62-32=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
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