nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
33,
27,
12,
38
] | 86 | [
"33+27=60",
"38-12=26",
"60+26=86"
] | Current State: 86:[33, 27, 12, 38], Operations: []
Exploring Operation: 33+27=60, Resulting Numbers: [12, 38, 60]
Generated Node #2: [12, 38, 60] from Operation: 33+27=60
Current State: 86:[12, 38, 60], Operations: ['33+27=60']
Exploring Operation: 38-12=26, Resulting Numbers: [60, 26]
Generated Node #3: [60, 26] from Operation: 38-12=26
Current State: 86:[60, 26], Operations: ['33+27=60', '38-12=26']
Exploring Operation: 60+26=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
67,
39,
42,
53
] | 39 | [
"67-39=28",
"53-42=11",
"28+11=39"
] | Current State: 39:[67, 39, 42, 53], Operations: []
Exploring Operation: 67-39=28, Resulting Numbers: [42, 53, 28]
Generated Node #2: [42, 53, 28] from Operation: 67-39=28
Current State: 39:[42, 53, 28], Operations: ['67-39=28']
Exploring Operation: 53-42=11, Resulting Numbers: [28, 11]
Generated Node #3: [28, 11] from Operation: 53-42=11
Current State: 39:[28, 11], Operations: ['67-39=28', '53-42=11']
Exploring Operation: 28+11=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
64,
72,
55,
70
] | 78 | [
"64-55=9",
"72/9=8",
"70+8=78"
] | Current State: 78:[64, 72, 55, 70], Operations: []
Exploring Operation: 64-55=9, Resulting Numbers: [72, 70, 9]
Generated Node #2: [72, 70, 9] from Operation: 64-55=9
Current State: 78:[72, 70, 9], Operations: ['64-55=9']
Exploring Operation: 72/9=8, Resulting Numbers: [70, 8]
Generated Node #3: [70, 8] from Operation: 72/9=8
Current State: 78:[70, 8], Operations: ['64-55=9', '72/9=8']
Exploring Operation: 70+8=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
34,
4,
23,
24
] | 77 | [
"34-4=30",
"23+24=47",
"30+47=77"
] | Current State: 77:[34, 4, 23, 24], Operations: []
Exploring Operation: 34-4=30, Resulting Numbers: [23, 24, 30]
Generated Node #2: [23, 24, 30] from Operation: 34-4=30
Current State: 77:[23, 24, 30], Operations: ['34-4=30']
Exploring Operation: 23+24=47, Resulting Numbers: [30, 47]
Generated Node #3: [30, 47] from Operation: 23+24=47
Current State: 77:[30, 47], Operations: ['34-4=30', '23+24=47']
Exploring Operation: 30+47=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
49,
50,
48,
14
] | 36 | [
"49-48=1",
"50-14=36",
"1*36=36"
] | Current State: 36:[49, 50, 48, 14], Operations: []
Exploring Operation: 49-48=1, Resulting Numbers: [50, 14, 1]
Generated Node #2: [50, 14, 1] from Operation: 49-48=1
Current State: 36:[50, 14, 1], Operations: ['49-48=1']
Exploring Operation: 50-14=36, Resulting Numbers: [1, 36]
Generated Node #3: [1, 36] from Operation: 50-14=36
Current State: 36:[1, 36], Operations: ['49-48=1', '50-14=36']
Exploring Operation: 1*36=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
95,
35,
12,
59
] | 32 | [
"95-59=36",
"36/12=3",
"35-3=32"
] | Current State: 32:[95, 35, 12, 59], Operations: []
Exploring Operation: 95-59=36, Resulting Numbers: [35, 12, 36]
Generated Node #2: [35, 12, 36] from Operation: 95-59=36
Current State: 32:[35, 12, 36], Operations: ['95-59=36']
Exploring Operation: 36/12=3, Resulting Numbers: [35, 3]
Generated Node #3: [35, 3] from Operation: 36/12=3
Current State: 32:[35, 3], Operations: ['95-59=36', '36/12=3']
Exploring Operation: 35-3=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
14,
11,
61,
12
] | 81 | [
"14*11=154",
"61+12=73",
"154-73=81"
] | Current State: 81:[14, 11, 61, 12], Operations: []
Exploring Operation: 14*11=154, Resulting Numbers: [61, 12, 154]
Generated Node #2: [61, 12, 154] from Operation: 14*11=154
Current State: 81:[61, 12, 154], Operations: ['14*11=154']
Exploring Operation: 61+12=73, Resulting Numbers: [154, 73]
Generated Node #3: [154, 73] from Operation: 61+12=73
Current State: 81:[154, 73], Operations: ['14*11=154', '61+12=73']
Exploring Operation: 154-73=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
7,
83,
91,
30
] | 100 | [
"91/7=13",
"83+30=113",
"113-13=100"
] | Current State: 100:[7, 83, 91, 30], Operations: []
Exploring Operation: 91/7=13, Resulting Numbers: [83, 30, 13]
Generated Node #2: [83, 30, 13] from Operation: 91/7=13
Current State: 100:[83, 30, 13], Operations: ['91/7=13']
Exploring Operation: 83+30=113, Resulting Numbers: [13, 113]
Generated Node #3: [13, 113] from Operation: 83+30=113
Current State: 100:[13, 113], Operations: ['91/7=13', '83+30=113']
Exploring Operation: 113-13=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
97,
57,
6,
18
] | 68 | [
"97-57=40",
"6*18=108",
"108-40=68"
] | Current State: 68:[97, 57, 6, 18], Operations: []
Exploring Operation: 97-57=40, Resulting Numbers: [6, 18, 40]
Generated Node #2: [6, 18, 40] from Operation: 97-57=40
Current State: 68:[6, 18, 40], Operations: ['97-57=40']
Exploring Operation: 6*18=108, Resulting Numbers: [40, 108]
Generated Node #3: [40, 108] from Operation: 6*18=108
Current State: 68:[40, 108], Operations: ['97-57=40', '6*18=108']
Exploring Operation: 108-40=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
78,
1,
3,
27
] | 36 | [
"78+27=105",
"105/3=35",
"1+35=36"
] | Current State: 36:[78, 1, 3, 27], Operations: []
Exploring Operation: 78+27=105, Resulting Numbers: [1, 3, 105]
Generated Node #2: [1, 3, 105] from Operation: 78+27=105
Current State: 36:[1, 3, 105], Operations: ['78+27=105']
Exploring Operation: 105/3=35, Resulting Numbers: [1, 35]
Generated Node #3: [1, 35] from Operation: 105/3=35
Current State: 36:[1, 35], Operations: ['78+27=105', '105/3=35']
Exploring Operation: 1+35=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
52,
10,
25,
72
] | 35 | [
"52+10=62",
"25+72=97",
"97-62=35"
] | Current State: 35:[52, 10, 25, 72], Operations: []
Exploring Operation: 52+10=62, Resulting Numbers: [25, 72, 62]
Generated Node #2: [25, 72, 62] from Operation: 52+10=62
Current State: 35:[25, 72, 62], Operations: ['52+10=62']
Exploring Operation: 25+72=97, Resulting Numbers: [62, 97]
Generated Node #3: [62, 97] from Operation: 25+72=97
Current State: 35:[62, 97], Operations: ['52+10=62', '25+72=97']
Exploring Operation: 97-62=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
78,
34,
46,
66
] | 33 | [
"78-34=44",
"46-44=2",
"66/2=33"
] | Current State: 33:[78, 34, 46, 66], Operations: []
Exploring Operation: 78-34=44, Resulting Numbers: [46, 66, 44]
Generated Node #2: [46, 66, 44] from Operation: 78-34=44
Current State: 33:[46, 66, 44], Operations: ['78-34=44']
Exploring Operation: 46-44=2, Resulting Numbers: [66, 2]
Generated Node #3: [66, 2] from Operation: 46-44=2
Current State: 33:[66, 2], Operations: ['78-34=44', '46-44=2']
Exploring Operation: 66/2=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
97,
76,
34,
53
] | 93 | [
"53-34=19",
"76/19=4",
"97-4=93"
] | Current State: 93:[97, 76, 34, 53], Operations: []
Exploring Operation: 53-34=19, Resulting Numbers: [97, 76, 19]
Generated Node #2: [97, 76, 19] from Operation: 53-34=19
Current State: 93:[97, 76, 19], Operations: ['53-34=19']
Exploring Operation: 76/19=4, Resulting Numbers: [97, 4]
Generated Node #3: [97, 4] from Operation: 76/19=4
Current State: 93:[97, 4], Operations: ['53-34=19', '76/19=4']
Exploring Operation: 97-4=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
45,
52,
88,
2
] | 61 | [
"88-45=43",
"52*2=104",
"104-43=61"
] | Current State: 61:[45, 52, 88, 2], Operations: []
Exploring Operation: 88-45=43, Resulting Numbers: [52, 2, 43]
Generated Node #2: [52, 2, 43] from Operation: 88-45=43
Current State: 61:[52, 2, 43], Operations: ['88-45=43']
Exploring Operation: 52*2=104, Resulting Numbers: [43, 104]
Generated Node #3: [43, 104] from Operation: 52*2=104
Current State: 61:[43, 104], Operations: ['88-45=43', '52*2=104']
Exploring Operation: 104-43=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
22,
90,
86,
17
] | 43 | [
"22+90=112",
"86-17=69",
"112-69=43"
] | Current State: 43:[22, 90, 86, 17], Operations: []
Exploring Operation: 22+90=112, Resulting Numbers: [86, 17, 112]
Generated Node #2: [86, 17, 112] from Operation: 22+90=112
Current State: 43:[86, 17, 112], Operations: ['22+90=112']
Exploring Operation: 86-17=69, Resulting Numbers: [112, 69]
Generated Node #3: [112, 69] from Operation: 86-17=69
Current State: 43:[112, 69], Operations: ['22+90=112', '86-17=69']
Exploring Operation: 112-69=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
31,
97,
32,
32
] | 97 | [
"32-32=0",
"31*0=0",
"97+0=97"
] | Current State: 97:[31, 97, 32, 32], Operations: []
Exploring Operation: 32-32=0, Resulting Numbers: [31, 97, 0]
Generated Node #2: [31, 97, 0] from Operation: 32-32=0
Current State: 97:[31, 97, 0], Operations: ['32-32=0']
Exploring Operation: 31*0=0, Resulting Numbers: [97, 0]
Generated Node #3: [97, 0] from Operation: 31*0=0
Current State: 97:[97, 0], Operations: ['32-32=0', '31*0=0']
Exploring Operation: 97+0=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
6,
69,
36,
5
] | 44 | [
"6+69=75",
"36-5=31",
"75-31=44"
] | Current State: 44:[6, 69, 36, 5], Operations: []
Exploring Operation: 6+69=75, Resulting Numbers: [36, 5, 75]
Generated Node #2: [36, 5, 75] from Operation: 6+69=75
Current State: 44:[36, 5, 75], Operations: ['6+69=75']
Exploring Operation: 36-5=31, Resulting Numbers: [75, 31]
Generated Node #3: [75, 31] from Operation: 36-5=31
Current State: 44:[75, 31], Operations: ['6+69=75', '36-5=31']
Exploring Operation: 75-31=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
40,
11,
73,
54
] | 70 | [
"40+11=51",
"73-54=19",
"51+19=70"
] | Current State: 70:[40, 11, 73, 54], Operations: []
Exploring Operation: 40+11=51, Resulting Numbers: [73, 54, 51]
Generated Node #2: [73, 54, 51] from Operation: 40+11=51
Current State: 70:[73, 54, 51], Operations: ['40+11=51']
Exploring Operation: 73-54=19, Resulting Numbers: [51, 19]
Generated Node #3: [51, 19] from Operation: 73-54=19
Current State: 70:[51, 19], Operations: ['40+11=51', '73-54=19']
Exploring Operation: 51+19=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
41,
10,
21,
85
] | 13 | [
"41+10=51",
"85-21=64",
"64-51=13"
] | Current State: 13:[41, 10, 21, 85], Operations: []
Exploring Operation: 41+10=51, Resulting Numbers: [21, 85, 51]
Generated Node #2: [21, 85, 51] from Operation: 41+10=51
Current State: 13:[21, 85, 51], Operations: ['41+10=51']
Exploring Operation: 85-21=64, Resulting Numbers: [51, 64]
Generated Node #3: [51, 64] from Operation: 85-21=64
Current State: 13:[51, 64], Operations: ['41+10=51', '85-21=64']
Exploring Operation: 64-51=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
43,
60,
35,
88
] | 20 | [
"43+60=103",
"35+88=123",
"123-103=20"
] | Current State: 20:[43, 60, 35, 88], Operations: []
Exploring Operation: 43+60=103, Resulting Numbers: [35, 88, 103]
Generated Node #2: [35, 88, 103] from Operation: 43+60=103
Current State: 20:[35, 88, 103], Operations: ['43+60=103']
Exploring Operation: 35+88=123, Resulting Numbers: [103, 123]
Generated Node #3: [103, 123] from Operation: 35+88=123
Current State: 20:[103, 123], Operations: ['43+60=103', '35+88=123']
Exploring Operation: 123-103=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
73,
88,
52,
65
] | 37 | [
"88*65=5720",
"5720/52=110",
"110-73=37"
] | Current State: 37:[73, 88, 52, 65], Operations: []
Exploring Operation: 88*65=5720, Resulting Numbers: [73, 52, 5720]
Generated Node #2: [73, 52, 5720] from Operation: 88*65=5720
Current State: 37:[73, 52, 5720], Operations: ['88*65=5720']
Exploring Operation: 5720/52=110, Resulting Numbers: [73, 110]
Generated Node #3: [73, 110] from Operation: 5720/52=110
Current State: 37:[73, 110], Operations: ['88*65=5720', '5720/52=110']
Exploring Operation: 110-73=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
19,
31,
87,
56
] | 81 | [
"19+31=50",
"87-56=31",
"50+31=81"
] | Current State: 81:[19, 31, 87, 56], Operations: []
Exploring Operation: 19+31=50, Resulting Numbers: [87, 56, 50]
Generated Node #2: [87, 56, 50] from Operation: 19+31=50
Current State: 81:[87, 56, 50], Operations: ['19+31=50']
Exploring Operation: 87-56=31, Resulting Numbers: [50, 31]
Generated Node #3: [50, 31] from Operation: 87-56=31
Current State: 81:[50, 31], Operations: ['19+31=50', '87-56=31']
Exploring Operation: 50+31=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
36,
42,
23,
49
] | 12 | [
"42-36=6",
"23+49=72",
"72/6=12"
] | Current State: 12:[36, 42, 23, 49], Operations: []
Exploring Operation: 42-36=6, Resulting Numbers: [23, 49, 6]
Generated Node #2: [23, 49, 6] from Operation: 42-36=6
Current State: 12:[23, 49, 6], Operations: ['42-36=6']
Exploring Operation: 23+49=72, Resulting Numbers: [6, 72]
Generated Node #3: [6, 72] from Operation: 23+49=72
Current State: 12:[6, 72], Operations: ['42-36=6', '23+49=72']
Exploring Operation: 72/6=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
16,
13,
8,
69
] | 64 | [
"16-13=3",
"69-8=61",
"3+61=64"
] | Current State: 64:[16, 13, 8, 69], Operations: []
Exploring Operation: 16-13=3, Resulting Numbers: [8, 69, 3]
Generated Node #2: [8, 69, 3] from Operation: 16-13=3
Current State: 64:[8, 69, 3], Operations: ['16-13=3']
Exploring Operation: 69-8=61, Resulting Numbers: [3, 61]
Generated Node #3: [3, 61] from Operation: 69-8=61
Current State: 64:[3, 61], Operations: ['16-13=3', '69-8=61']
Exploring Operation: 3+61=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
70,
93,
50,
1
] | 27 | [
"93-70=23",
"50*1=50",
"50-23=27"
] | Current State: 27:[70, 93, 50, 1], Operations: []
Exploring Operation: 93-70=23, Resulting Numbers: [50, 1, 23]
Generated Node #2: [50, 1, 23] from Operation: 93-70=23
Current State: 27:[50, 1, 23], Operations: ['93-70=23']
Exploring Operation: 50*1=50, Resulting Numbers: [23, 50]
Generated Node #3: [23, 50] from Operation: 50*1=50
Current State: 27:[23, 50], Operations: ['93-70=23', '50*1=50']
Exploring Operation: 50-23=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
20,
71,
43,
12
] | 96 | [
"71-20=51",
"51-43=8",
"12*8=96"
] | Current State: 96:[20, 71, 43, 12], Operations: []
Exploring Operation: 71-20=51, Resulting Numbers: [43, 12, 51]
Generated Node #2: [43, 12, 51] from Operation: 71-20=51
Current State: 96:[43, 12, 51], Operations: ['71-20=51']
Exploring Operation: 51-43=8, Resulting Numbers: [12, 8]
Generated Node #3: [12, 8] from Operation: 51-43=8
Current State: 96:[12, 8], Operations: ['71-20=51', '51-43=8']
Exploring Operation: 12*8=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
99,
22,
78,
6
] | 51 | [
"99*6=594",
"594/22=27",
"78-27=51"
] | Current State: 51:[99, 22, 78, 6], Operations: []
Exploring Operation: 99*6=594, Resulting Numbers: [22, 78, 594]
Generated Node #2: [22, 78, 594] from Operation: 99*6=594
Current State: 51:[22, 78, 594], Operations: ['99*6=594']
Exploring Operation: 594/22=27, Resulting Numbers: [78, 27]
Generated Node #3: [78, 27] from Operation: 594/22=27
Current State: 51:[78, 27], Operations: ['99*6=594', '594/22=27']
Exploring Operation: 78-27=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
45,
4,
73,
99
] | 76 | [
"45+73=118",
"118-99=19",
"4*19=76"
] | Current State: 76:[45, 4, 73, 99], Operations: []
Exploring Operation: 45+73=118, Resulting Numbers: [4, 99, 118]
Generated Node #2: [4, 99, 118] from Operation: 45+73=118
Current State: 76:[4, 99, 118], Operations: ['45+73=118']
Exploring Operation: 118-99=19, Resulting Numbers: [4, 19]
Generated Node #3: [4, 19] from Operation: 118-99=19
Current State: 76:[4, 19], Operations: ['45+73=118', '118-99=19']
Exploring Operation: 4*19=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
11,
44,
33,
20
] | 52 | [
"44/11=4",
"33-20=13",
"4*13=52"
] | Current State: 52:[11, 44, 33, 20], Operations: []
Exploring Operation: 44/11=4, Resulting Numbers: [33, 20, 4]
Generated Node #2: [33, 20, 4] from Operation: 44/11=4
Current State: 52:[33, 20, 4], Operations: ['44/11=4']
Exploring Operation: 33-20=13, Resulting Numbers: [4, 13]
Generated Node #3: [4, 13] from Operation: 33-20=13
Current State: 52:[4, 13], Operations: ['44/11=4', '33-20=13']
Exploring Operation: 4*13=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
20,
54,
47,
58
] | 31 | [
"20+54=74",
"47+58=105",
"105-74=31"
] | Current State: 31:[20, 54, 47, 58], Operations: []
Exploring Operation: 20+54=74, Resulting Numbers: [47, 58, 74]
Generated Node #2: [47, 58, 74] from Operation: 20+54=74
Current State: 31:[47, 58, 74], Operations: ['20+54=74']
Exploring Operation: 47+58=105, Resulting Numbers: [74, 105]
Generated Node #3: [74, 105] from Operation: 47+58=105
Current State: 31:[74, 105], Operations: ['20+54=74', '47+58=105']
Exploring Operation: 105-74=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
51,
68,
57,
15
] | 56 | [
"57-15=42",
"68*42=2856",
"2856/51=56"
] | Current State: 56:[51, 68, 57, 15], Operations: []
Exploring Operation: 57-15=42, Resulting Numbers: [51, 68, 42]
Generated Node #2: [51, 68, 42] from Operation: 57-15=42
Current State: 56:[51, 68, 42], Operations: ['57-15=42']
Exploring Operation: 68*42=2856, Resulting Numbers: [51, 2856]
Generated Node #3: [51, 2856] from Operation: 68*42=2856
Current State: 56:[51, 2856], Operations: ['57-15=42', '68*42=2856']
Exploring Operation: 2856/51=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
79,
44,
15,
19
] | 69 | [
"79-44=35",
"15+19=34",
"35+34=69"
] | Current State: 69:[79, 44, 15, 19], Operations: []
Exploring Operation: 79-44=35, Resulting Numbers: [15, 19, 35]
Generated Node #2: [15, 19, 35] from Operation: 79-44=35
Current State: 69:[15, 19, 35], Operations: ['79-44=35']
Exploring Operation: 15+19=34, Resulting Numbers: [35, 34]
Generated Node #3: [35, 34] from Operation: 15+19=34
Current State: 69:[35, 34], Operations: ['79-44=35', '15+19=34']
Exploring Operation: 35+34=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
40,
27,
8,
67
] | 89 | [
"40/8=5",
"27+67=94",
"94-5=89"
] | Current State: 89:[40, 27, 8, 67], Operations: []
Exploring Operation: 40/8=5, Resulting Numbers: [27, 67, 5]
Generated Node #2: [27, 67, 5] from Operation: 40/8=5
Current State: 89:[27, 67, 5], Operations: ['40/8=5']
Exploring Operation: 27+67=94, Resulting Numbers: [5, 94]
Generated Node #3: [5, 94] from Operation: 27+67=94
Current State: 89:[5, 94], Operations: ['40/8=5', '27+67=94']
Exploring Operation: 94-5=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
86,
97,
47,
7
] | 78 | [
"86+47=133",
"133/7=19",
"97-19=78"
] | Current State: 78:[86, 97, 47, 7], Operations: []
Exploring Operation: 86+47=133, Resulting Numbers: [97, 7, 133]
Generated Node #2: [97, 7, 133] from Operation: 86+47=133
Current State: 78:[97, 7, 133], Operations: ['86+47=133']
Exploring Operation: 133/7=19, Resulting Numbers: [97, 19]
Generated Node #3: [97, 19] from Operation: 133/7=19
Current State: 78:[97, 19], Operations: ['86+47=133', '133/7=19']
Exploring Operation: 97-19=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
55,
17,
54,
47
] | 45 | [
"55-17=38",
"54-47=7",
"38+7=45"
] | Current State: 45:[55, 17, 54, 47], Operations: []
Exploring Operation: 55-17=38, Resulting Numbers: [54, 47, 38]
Generated Node #2: [54, 47, 38] from Operation: 55-17=38
Current State: 45:[54, 47, 38], Operations: ['55-17=38']
Exploring Operation: 54-47=7, Resulting Numbers: [38, 7]
Generated Node #3: [38, 7] from Operation: 54-47=7
Current State: 45:[38, 7], Operations: ['55-17=38', '54-47=7']
Exploring Operation: 38+7=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
46,
93,
92,
86
] | 79 | [
"92/46=2",
"86*2=172",
"172-93=79"
] | Current State: 79:[46, 93, 92, 86], Operations: []
Exploring Operation: 92/46=2, Resulting Numbers: [93, 86, 2]
Generated Node #2: [93, 86, 2] from Operation: 92/46=2
Current State: 79:[93, 86, 2], Operations: ['92/46=2']
Exploring Operation: 86*2=172, Resulting Numbers: [93, 172]
Generated Node #3: [93, 172] from Operation: 86*2=172
Current State: 79:[93, 172], Operations: ['92/46=2', '86*2=172']
Exploring Operation: 172-93=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
42,
11,
42,
79
] | 69 | [
"42/42=1",
"79-11=68",
"1+68=69"
] | Current State: 69:[42, 11, 42, 79], Operations: []
Exploring Operation: 42/42=1, Resulting Numbers: [11, 79, 1]
Generated Node #2: [11, 79, 1] from Operation: 42/42=1
Current State: 69:[11, 79, 1], Operations: ['42/42=1']
Exploring Operation: 79-11=68, Resulting Numbers: [1, 68]
Generated Node #3: [1, 68] from Operation: 79-11=68
Current State: 69:[1, 68], Operations: ['42/42=1', '79-11=68']
Exploring Operation: 1+68=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
52,
18,
90,
75
] | 67 | [
"90/18=5",
"75/5=15",
"52+15=67"
] | Current State: 67:[52, 18, 90, 75], Operations: []
Exploring Operation: 90/18=5, Resulting Numbers: [52, 75, 5]
Generated Node #2: [52, 75, 5] from Operation: 90/18=5
Current State: 67:[52, 75, 5], Operations: ['90/18=5']
Exploring Operation: 75/5=15, Resulting Numbers: [52, 15]
Generated Node #3: [52, 15] from Operation: 75/5=15
Current State: 67:[52, 15], Operations: ['90/18=5', '75/5=15']
Exploring Operation: 52+15=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
63,
8,
22,
26
] | 23 | [
"63+8=71",
"22+26=48",
"71-48=23"
] | Current State: 23:[63, 8, 22, 26], Operations: []
Exploring Operation: 63+8=71, Resulting Numbers: [22, 26, 71]
Generated Node #2: [22, 26, 71] from Operation: 63+8=71
Current State: 23:[22, 26, 71], Operations: ['63+8=71']
Exploring Operation: 22+26=48, Resulting Numbers: [71, 48]
Generated Node #3: [71, 48] from Operation: 22+26=48
Current State: 23:[71, 48], Operations: ['63+8=71', '22+26=48']
Exploring Operation: 71-48=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
60,
30,
59,
34
] | 84 | [
"60/30=2",
"59*2=118",
"118-34=84"
] | Current State: 84:[60, 30, 59, 34], Operations: []
Exploring Operation: 60/30=2, Resulting Numbers: [59, 34, 2]
Generated Node #2: [59, 34, 2] from Operation: 60/30=2
Current State: 84:[59, 34, 2], Operations: ['60/30=2']
Exploring Operation: 59*2=118, Resulting Numbers: [34, 118]
Generated Node #3: [34, 118] from Operation: 59*2=118
Current State: 84:[34, 118], Operations: ['60/30=2', '59*2=118']
Exploring Operation: 118-34=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
4,
72,
74,
66
] | 64 | [
"4+72=76",
"74+66=140",
"140-76=64"
] | Current State: 64:[4, 72, 74, 66], Operations: []
Exploring Operation: 4+72=76, Resulting Numbers: [74, 66, 76]
Generated Node #2: [74, 66, 76] from Operation: 4+72=76
Current State: 64:[74, 66, 76], Operations: ['4+72=76']
Exploring Operation: 74+66=140, Resulting Numbers: [76, 140]
Generated Node #3: [76, 140] from Operation: 74+66=140
Current State: 64:[76, 140], Operations: ['4+72=76', '74+66=140']
Exploring Operation: 140-76=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
25,
61,
39,
36
] | 39 | [
"61-25=36",
"39+36=75",
"75-36=39"
] | Current State: 39:[25, 61, 39, 36], Operations: []
Exploring Operation: 61-25=36, Resulting Numbers: [39, 36, 36]
Generated Node #2: [39, 36, 36] from Operation: 61-25=36
Current State: 39:[39, 36, 36], Operations: ['61-25=36']
Exploring Operation: 39+36=75, Resulting Numbers: [75]
75,39 equal: Goal Reached
Exploring Operation: 75-36=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
72,
5,
65,
42
] | 73 | [
"72+65=137",
"5*42=210",
"210-137=73"
] | Current State: 73:[72, 5, 65, 42], Operations: []
Exploring Operation: 72+65=137, Resulting Numbers: [5, 42, 137]
Generated Node #2: [5, 42, 137] from Operation: 72+65=137
Current State: 73:[5, 42, 137], Operations: ['72+65=137']
Exploring Operation: 5*42=210, Resulting Numbers: [137, 210]
Generated Node #3: [137, 210] from Operation: 5*42=210
Current State: 73:[137, 210], Operations: ['72+65=137', '5*42=210']
Exploring Operation: 210-137=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
48,
8,
69,
16
] | 73 | [
"48-16=32",
"32/8=4",
"69+4=73"
] | Current State: 73:[48, 8, 69, 16], Operations: []
Exploring Operation: 48-16=32, Resulting Numbers: [8, 69, 32]
Generated Node #2: [8, 69, 32] from Operation: 48-16=32
Current State: 73:[8, 69, 32], Operations: ['48-16=32']
Exploring Operation: 32/8=4, Resulting Numbers: [69, 4]
Generated Node #3: [69, 4] from Operation: 32/8=4
Current State: 73:[69, 4], Operations: ['48-16=32', '32/8=4']
Exploring Operation: 69+4=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
2,
80,
73,
57
] | 72 | [
"73-57=16",
"16/2=8",
"80-8=72"
] | Current State: 72:[2, 80, 73, 57], Operations: []
Exploring Operation: 73-57=16, Resulting Numbers: [2, 80, 16]
Generated Node #2: [2, 80, 16] from Operation: 73-57=16
Current State: 72:[2, 80, 16], Operations: ['73-57=16']
Exploring Operation: 16/2=8, Resulting Numbers: [80, 8]
Generated Node #3: [80, 8] from Operation: 16/2=8
Current State: 72:[80, 8], Operations: ['73-57=16', '16/2=8']
Exploring Operation: 80-8=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
5,
30,
8,
2
] | 42 | [
"30-5=25",
"2*25=50",
"50-8=42"
] | Current State: 42:[5, 30, 8, 2], Operations: []
Exploring Operation: 30-5=25, Resulting Numbers: [8, 2, 25]
Generated Node #2: [8, 2, 25] from Operation: 30-5=25
Current State: 42:[8, 2, 25], Operations: ['30-5=25']
Exploring Operation: 2*25=50, Resulting Numbers: [8, 50]
Generated Node #3: [8, 50] from Operation: 2*25=50
Current State: 42:[8, 50], Operations: ['30-5=25', '2*25=50']
Exploring Operation: 50-8=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
33,
59,
96,
33
] | 38 | [
"33/33=1",
"96-59=37",
"1+37=38"
] | Current State: 38:[33, 59, 96, 33], Operations: []
Exploring Operation: 33/33=1, Resulting Numbers: [59, 96, 1]
Generated Node #2: [59, 96, 1] from Operation: 33/33=1
Current State: 38:[59, 96, 1], Operations: ['33/33=1']
Exploring Operation: 96-59=37, Resulting Numbers: [1, 37]
Generated Node #3: [1, 37] from Operation: 96-59=37
Current State: 38:[1, 37], Operations: ['33/33=1', '96-59=37']
Exploring Operation: 1+37=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
58,
41,
46,
63
] | 88 | [
"58*63=3654",
"3654-46=3608",
"3608/41=88"
] | Current State: 88:[58, 41, 46, 63], Operations: []
Exploring Operation: 58*63=3654, Resulting Numbers: [41, 46, 3654]
Generated Node #2: [41, 46, 3654] from Operation: 58*63=3654
Current State: 88:[41, 46, 3654], Operations: ['58*63=3654']
Exploring Operation: 3654-46=3608, Resulting Numbers: [41, 3608]
Generated Node #3: [41, 3608] from Operation: 3654-46=3608
Current State: 88:[41, 3608], Operations: ['58*63=3654', '3654-46=3608']
Exploring Operation: 3608/41=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
68,
96,
5,
24
] | 12 | [
"68*24=1632",
"1632/96=17",
"17-5=12"
] | Current State: 12:[68, 96, 5, 24], Operations: []
Exploring Operation: 68*24=1632, Resulting Numbers: [96, 5, 1632]
Generated Node #2: [96, 5, 1632] from Operation: 68*24=1632
Current State: 12:[96, 5, 1632], Operations: ['68*24=1632']
Exploring Operation: 1632/96=17, Resulting Numbers: [5, 17]
Generated Node #3: [5, 17] from Operation: 1632/96=17
Current State: 12:[5, 17], Operations: ['68*24=1632', '1632/96=17']
Exploring Operation: 17-5=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
84,
65,
74,
97
] | 42 | [
"84-65=19",
"97-74=23",
"19+23=42"
] | Current State: 42:[84, 65, 74, 97], Operations: []
Exploring Operation: 84-65=19, Resulting Numbers: [74, 97, 19]
Generated Node #2: [74, 97, 19] from Operation: 84-65=19
Current State: 42:[74, 97, 19], Operations: ['84-65=19']
Exploring Operation: 97-74=23, Resulting Numbers: [19, 23]
Generated Node #3: [19, 23] from Operation: 97-74=23
Current State: 42:[19, 23], Operations: ['84-65=19', '97-74=23']
Exploring Operation: 19+23=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
43,
16,
90,
1
] | 62 | [
"43-16=27",
"90-1=89",
"89-27=62"
] | Current State: 62:[43, 16, 90, 1], Operations: []
Exploring Operation: 43-16=27, Resulting Numbers: [90, 1, 27]
Generated Node #2: [90, 1, 27] from Operation: 43-16=27
Current State: 62:[90, 1, 27], Operations: ['43-16=27']
Exploring Operation: 90-1=89, Resulting Numbers: [27, 89]
Generated Node #3: [27, 89] from Operation: 90-1=89
Current State: 62:[27, 89], Operations: ['43-16=27', '90-1=89']
Exploring Operation: 89-27=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
9,
19,
76,
50
] | 10 | [
"76/19=4",
"9-4=5",
"50/5=10"
] | Current State: 10:[9, 19, 76, 50], Operations: []
Exploring Operation: 76/19=4, Resulting Numbers: [9, 50, 4]
Generated Node #2: [9, 50, 4] from Operation: 76/19=4
Current State: 10:[9, 50, 4], Operations: ['76/19=4']
Exploring Operation: 9-4=5, Resulting Numbers: [50, 5]
Generated Node #3: [50, 5] from Operation: 9-4=5
Current State: 10:[50, 5], Operations: ['76/19=4', '9-4=5']
Exploring Operation: 50/5=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
74,
34,
77,
23
] | 54 | [
"74+34=108",
"77-23=54",
"108-54=54"
] | Current State: 54:[74, 34, 77, 23], Operations: []
Exploring Operation: 74+34=108, Resulting Numbers: [77, 23, 108]
Generated Node #2: [77, 23, 108] from Operation: 74+34=108
Current State: 54:[77, 23, 108], Operations: ['74+34=108']
Exploring Operation: 77-23=54, Resulting Numbers: [108, 54]
Generated Node #3: [108, 54] from Operation: 77-23=54
Current State: 54:[108, 54], Operations: ['74+34=108', '77-23=54']
Exploring Operation: 108-54=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
26,
55,
33,
8
] | 40 | [
"26+55=81",
"33+8=41",
"81-41=40"
] | Current State: 40:[26, 55, 33, 8], Operations: []
Exploring Operation: 26+55=81, Resulting Numbers: [33, 8, 81]
Generated Node #2: [33, 8, 81] from Operation: 26+55=81
Current State: 40:[33, 8, 81], Operations: ['26+55=81']
Exploring Operation: 33+8=41, Resulting Numbers: [81, 41]
Generated Node #3: [81, 41] from Operation: 33+8=41
Current State: 40:[81, 41], Operations: ['26+55=81', '33+8=41']
Exploring Operation: 81-41=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
39,
29,
18,
88
] | 80 | [
"39-29=10",
"88-18=70",
"10+70=80"
] | Current State: 80:[39, 29, 18, 88], Operations: []
Exploring Operation: 39-29=10, Resulting Numbers: [18, 88, 10]
Generated Node #2: [18, 88, 10] from Operation: 39-29=10
Current State: 80:[18, 88, 10], Operations: ['39-29=10']
Exploring Operation: 88-18=70, Resulting Numbers: [10, 70]
Generated Node #3: [10, 70] from Operation: 88-18=70
Current State: 80:[10, 70], Operations: ['39-29=10', '88-18=70']
Exploring Operation: 10+70=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
5,
89,
84,
50
] | 49 | [
"89-5=84",
"84/84=1",
"50-1=49"
] | Current State: 49:[5, 89, 84, 50], Operations: []
Exploring Operation: 89-5=84, Resulting Numbers: [84, 50, 84]
Generated Node #2: [84, 50, 84] from Operation: 89-5=84
Current State: 49:[84, 50, 84], Operations: ['89-5=84']
Exploring Operation: 84/84=1, Resulting Numbers: [50, 1]
Generated Node #3: [50, 1] from Operation: 84/84=1
Current State: 49:[50, 1], Operations: ['89-5=84', '84/84=1']
Exploring Operation: 50-1=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
42,
45,
22,
73
] | 92 | [
"45-42=3",
"22+73=95",
"95-3=92"
] | Current State: 92:[42, 45, 22, 73], Operations: []
Exploring Operation: 45-42=3, Resulting Numbers: [22, 73, 3]
Generated Node #2: [22, 73, 3] from Operation: 45-42=3
Current State: 92:[22, 73, 3], Operations: ['45-42=3']
Exploring Operation: 22+73=95, Resulting Numbers: [3, 95]
Generated Node #3: [3, 95] from Operation: 22+73=95
Current State: 92:[3, 95], Operations: ['45-42=3', '22+73=95']
Exploring Operation: 95-3=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
82,
94,
42,
15
] | 69 | [
"94-82=12",
"42+15=57",
"12+57=69"
] | Current State: 69:[82, 94, 42, 15], Operations: []
Exploring Operation: 94-82=12, Resulting Numbers: [42, 15, 12]
Generated Node #2: [42, 15, 12] from Operation: 94-82=12
Current State: 69:[42, 15, 12], Operations: ['94-82=12']
Exploring Operation: 42+15=57, Resulting Numbers: [12, 57]
Generated Node #3: [12, 57] from Operation: 42+15=57
Current State: 69:[12, 57], Operations: ['94-82=12', '42+15=57']
Exploring Operation: 12+57=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
43,
68,
2,
46
] | 19 | [
"43+68=111",
"2*46=92",
"111-92=19"
] | Current State: 19:[43, 68, 2, 46], Operations: []
Exploring Operation: 43+68=111, Resulting Numbers: [2, 46, 111]
Generated Node #2: [2, 46, 111] from Operation: 43+68=111
Current State: 19:[2, 46, 111], Operations: ['43+68=111']
Exploring Operation: 2*46=92, Resulting Numbers: [111, 92]
Generated Node #3: [111, 92] from Operation: 2*46=92
Current State: 19:[111, 92], Operations: ['43+68=111', '2*46=92']
Exploring Operation: 111-92=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
41,
60,
54,
57
] | 92 | [
"60-41=19",
"54+57=111",
"111-19=92"
] | Current State: 92:[41, 60, 54, 57], Operations: []
Exploring Operation: 60-41=19, Resulting Numbers: [54, 57, 19]
Generated Node #2: [54, 57, 19] from Operation: 60-41=19
Current State: 92:[54, 57, 19], Operations: ['60-41=19']
Exploring Operation: 54+57=111, Resulting Numbers: [19, 111]
Generated Node #3: [19, 111] from Operation: 54+57=111
Current State: 92:[19, 111], Operations: ['60-41=19', '54+57=111']
Exploring Operation: 111-19=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
10,
72,
7,
63
] | 51 | [
"10-7=3",
"63/3=21",
"72-21=51"
] | Current State: 51:[10, 72, 7, 63], Operations: []
Exploring Operation: 10-7=3, Resulting Numbers: [72, 63, 3]
Generated Node #2: [72, 63, 3] from Operation: 10-7=3
Current State: 51:[72, 63, 3], Operations: ['10-7=3']
Exploring Operation: 63/3=21, Resulting Numbers: [72, 21]
Generated Node #3: [72, 21] from Operation: 63/3=21
Current State: 51:[72, 21], Operations: ['10-7=3', '63/3=21']
Exploring Operation: 72-21=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
96,
57,
78,
84
] | 24 | [
"78-57=21",
"96*21=2016",
"2016/84=24"
] | Current State: 24:[96, 57, 78, 84], Operations: []
Exploring Operation: 78-57=21, Resulting Numbers: [96, 84, 21]
Generated Node #2: [96, 84, 21] from Operation: 78-57=21
Current State: 24:[96, 84, 21], Operations: ['78-57=21']
Exploring Operation: 96*21=2016, Resulting Numbers: [84, 2016]
Generated Node #3: [84, 2016] from Operation: 96*21=2016
Current State: 24:[84, 2016], Operations: ['78-57=21', '96*21=2016']
Exploring Operation: 2016/84=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
93,
36,
25,
61
] | 29 | [
"93-36=57",
"25+61=86",
"86-57=29"
] | Current State: 29:[93, 36, 25, 61], Operations: []
Exploring Operation: 93-36=57, Resulting Numbers: [25, 61, 57]
Generated Node #2: [25, 61, 57] from Operation: 93-36=57
Current State: 29:[25, 61, 57], Operations: ['93-36=57']
Exploring Operation: 25+61=86, Resulting Numbers: [57, 86]
Generated Node #3: [57, 86] from Operation: 25+61=86
Current State: 29:[57, 86], Operations: ['93-36=57', '25+61=86']
Exploring Operation: 86-57=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
36,
2,
63,
82
] | 91 | [
"36*2=72",
"82-63=19",
"72+19=91"
] | Current State: 91:[36, 2, 63, 82], Operations: []
Exploring Operation: 36*2=72, Resulting Numbers: [63, 82, 72]
Generated Node #2: [63, 82, 72] from Operation: 36*2=72
Current State: 91:[63, 82, 72], Operations: ['36*2=72']
Exploring Operation: 82-63=19, Resulting Numbers: [72, 19]
Generated Node #3: [72, 19] from Operation: 82-63=19
Current State: 91:[72, 19], Operations: ['36*2=72', '82-63=19']
Exploring Operation: 72+19=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
99,
35,
18,
77
] | 63 | [
"99*35=3465",
"3465/77=45",
"18+45=63"
] | Current State: 63:[99, 35, 18, 77], Operations: []
Exploring Operation: 99*35=3465, Resulting Numbers: [18, 77, 3465]
Generated Node #2: [18, 77, 3465] from Operation: 99*35=3465
Current State: 63:[18, 77, 3465], Operations: ['99*35=3465']
Exploring Operation: 3465/77=45, Resulting Numbers: [18, 45]
Generated Node #3: [18, 45] from Operation: 3465/77=45
Current State: 63:[18, 45], Operations: ['99*35=3465', '3465/77=45']
Exploring Operation: 18+45=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
86,
84,
56,
18
] | 36 | [
"86-84=2",
"56-18=38",
"38-2=36"
] | Current State: 36:[86, 84, 56, 18], Operations: []
Exploring Operation: 86-84=2, Resulting Numbers: [56, 18, 2]
Generated Node #2: [56, 18, 2] from Operation: 86-84=2
Current State: 36:[56, 18, 2], Operations: ['86-84=2']
Exploring Operation: 56-18=38, Resulting Numbers: [2, 38]
Generated Node #3: [2, 38] from Operation: 56-18=38
Current State: 36:[2, 38], Operations: ['86-84=2', '56-18=38']
Exploring Operation: 38-2=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
18,
69,
65,
61
] | 75 | [
"69-18=51",
"65+61=126",
"126-51=75"
] | Current State: 75:[18, 69, 65, 61], Operations: []
Exploring Operation: 69-18=51, Resulting Numbers: [65, 61, 51]
Generated Node #2: [65, 61, 51] from Operation: 69-18=51
Current State: 75:[65, 61, 51], Operations: ['69-18=51']
Exploring Operation: 65+61=126, Resulting Numbers: [51, 126]
Generated Node #3: [51, 126] from Operation: 65+61=126
Current State: 75:[51, 126], Operations: ['69-18=51', '65+61=126']
Exploring Operation: 126-51=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
30,
70,
20,
27
] | 78 | [
"30*70=2100",
"2100/20=105",
"105-27=78"
] | Current State: 78:[30, 70, 20, 27], Operations: []
Exploring Operation: 30*70=2100, Resulting Numbers: [20, 27, 2100]
Generated Node #2: [20, 27, 2100] from Operation: 30*70=2100
Current State: 78:[20, 27, 2100], Operations: ['30*70=2100']
Exploring Operation: 2100/20=105, Resulting Numbers: [27, 105]
Generated Node #3: [27, 105] from Operation: 2100/20=105
Current State: 78:[27, 105], Operations: ['30*70=2100', '2100/20=105']
Exploring Operation: 105-27=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
82,
21,
80,
65
] | 73 | [
"82+65=147",
"147/21=7",
"80-7=73"
] | Current State: 73:[82, 21, 80, 65], Operations: []
Exploring Operation: 82+65=147, Resulting Numbers: [21, 80, 147]
Generated Node #2: [21, 80, 147] from Operation: 82+65=147
Current State: 73:[21, 80, 147], Operations: ['82+65=147']
Exploring Operation: 147/21=7, Resulting Numbers: [80, 7]
Generated Node #3: [80, 7] from Operation: 147/21=7
Current State: 73:[80, 7], Operations: ['82+65=147', '147/21=7']
Exploring Operation: 80-7=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
89,
82,
82,
7
] | 95 | [
"89+7=96",
"82/82=1",
"96-1=95"
] | Current State: 95:[89, 82, 82, 7], Operations: []
Exploring Operation: 89+7=96, Resulting Numbers: [82, 82, 96]
Generated Node #2: [82, 82, 96] from Operation: 89+7=96
Current State: 95:[82, 82, 96], Operations: ['89+7=96']
Exploring Operation: 82/82=1, Resulting Numbers: [96, 1]
Generated Node #3: [96, 1] from Operation: 82/82=1
Current State: 95:[96, 1], Operations: ['89+7=96', '82/82=1']
Exploring Operation: 96-1=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
73,
11,
70,
86
] | 94 | [
"73-11=62",
"70+86=156",
"156-62=94"
] | Current State: 94:[73, 11, 70, 86], Operations: []
Exploring Operation: 73-11=62, Resulting Numbers: [70, 86, 62]
Generated Node #2: [70, 86, 62] from Operation: 73-11=62
Current State: 94:[70, 86, 62], Operations: ['73-11=62']
Exploring Operation: 70+86=156, Resulting Numbers: [62, 156]
Generated Node #3: [62, 156] from Operation: 70+86=156
Current State: 94:[62, 156], Operations: ['73-11=62', '70+86=156']
Exploring Operation: 156-62=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
47,
88,
79,
17
] | 55 | [
"88-47=41",
"79+17=96",
"96-41=55"
] | Current State: 55:[47, 88, 79, 17], Operations: []
Exploring Operation: 88-47=41, Resulting Numbers: [79, 17, 41]
Generated Node #2: [79, 17, 41] from Operation: 88-47=41
Current State: 55:[79, 17, 41], Operations: ['88-47=41']
Exploring Operation: 79+17=96, Resulting Numbers: [41, 96]
Generated Node #3: [41, 96] from Operation: 79+17=96
Current State: 55:[41, 96], Operations: ['88-47=41', '79+17=96']
Exploring Operation: 96-41=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
59,
24,
11,
90
] | 45 | [
"59-11=48",
"24*90=2160",
"2160/48=45"
] | Current State: 45:[59, 24, 11, 90], Operations: []
Exploring Operation: 59-11=48, Resulting Numbers: [24, 90, 48]
Generated Node #2: [24, 90, 48] from Operation: 59-11=48
Current State: 45:[24, 90, 48], Operations: ['59-11=48']
Exploring Operation: 24*90=2160, Resulting Numbers: [48, 2160]
Generated Node #3: [48, 2160] from Operation: 24*90=2160
Current State: 45:[48, 2160], Operations: ['59-11=48', '24*90=2160']
Exploring Operation: 2160/48=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
33,
32,
10,
14
] | 100 | [
"14-10=4",
"33*4=132",
"132-32=100"
] | Current State: 100:[33, 32, 10, 14], Operations: []
Exploring Operation: 14-10=4, Resulting Numbers: [33, 32, 4]
Generated Node #2: [33, 32, 4] from Operation: 14-10=4
Current State: 100:[33, 32, 4], Operations: ['14-10=4']
Exploring Operation: 33*4=132, Resulting Numbers: [32, 132]
Generated Node #3: [32, 132] from Operation: 33*4=132
Current State: 100:[32, 132], Operations: ['14-10=4', '33*4=132']
Exploring Operation: 132-32=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
26,
16,
24,
81
] | 47 | [
"26-16=10",
"81-24=57",
"57-10=47"
] | Current State: 47:[26, 16, 24, 81], Operations: []
Exploring Operation: 26-16=10, Resulting Numbers: [24, 81, 10]
Generated Node #2: [24, 81, 10] from Operation: 26-16=10
Current State: 47:[24, 81, 10], Operations: ['26-16=10']
Exploring Operation: 81-24=57, Resulting Numbers: [10, 57]
Generated Node #3: [10, 57] from Operation: 81-24=57
Current State: 47:[10, 57], Operations: ['26-16=10', '81-24=57']
Exploring Operation: 57-10=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
2,
70,
11,
74
] | 56 | [
"74-11=63",
"2*63=126",
"126-70=56"
] | Current State: 56:[2, 70, 11, 74], Operations: []
Exploring Operation: 74-11=63, Resulting Numbers: [2, 70, 63]
Generated Node #2: [2, 70, 63] from Operation: 74-11=63
Current State: 56:[2, 70, 63], Operations: ['74-11=63']
Exploring Operation: 2*63=126, Resulting Numbers: [70, 126]
Generated Node #3: [70, 126] from Operation: 2*63=126
Current State: 56:[70, 126], Operations: ['74-11=63', '2*63=126']
Exploring Operation: 126-70=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
9,
64,
85,
85
] | 56 | [
"64-9=55",
"85/85=1",
"55+1=56"
] | Current State: 56:[9, 64, 85, 85], Operations: []
Exploring Operation: 64-9=55, Resulting Numbers: [85, 85, 55]
Generated Node #2: [85, 85, 55] from Operation: 64-9=55
Current State: 56:[85, 85, 55], Operations: ['64-9=55']
Exploring Operation: 85/85=1, Resulting Numbers: [55, 1]
Generated Node #3: [55, 1] from Operation: 85/85=1
Current State: 56:[55, 1], Operations: ['64-9=55', '85/85=1']
Exploring Operation: 55+1=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
1,
86,
15,
43
] | 12 | [
"15-1=14",
"86/43=2",
"14-2=12"
] | Current State: 12:[1, 86, 15, 43], Operations: []
Exploring Operation: 15-1=14, Resulting Numbers: [86, 43, 14]
Generated Node #2: [86, 43, 14] from Operation: 15-1=14
Current State: 12:[86, 43, 14], Operations: ['15-1=14']
Exploring Operation: 86/43=2, Resulting Numbers: [14, 2]
Generated Node #3: [14, 2] from Operation: 86/43=2
Current State: 12:[14, 2], Operations: ['15-1=14', '86/43=2']
Exploring Operation: 14-2=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
11,
67,
39,
98
] | 19 | [
"11+67=78",
"98-39=59",
"78-59=19"
] | Current State: 19:[11, 67, 39, 98], Operations: []
Exploring Operation: 11+67=78, Resulting Numbers: [39, 98, 78]
Generated Node #2: [39, 98, 78] from Operation: 11+67=78
Current State: 19:[39, 98, 78], Operations: ['11+67=78']
Exploring Operation: 98-39=59, Resulting Numbers: [78, 59]
Generated Node #3: [78, 59] from Operation: 98-39=59
Current State: 19:[78, 59], Operations: ['11+67=78', '98-39=59']
Exploring Operation: 78-59=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
23,
83,
31,
6
] | 80 | [
"23+83=106",
"31*6=186",
"186-106=80"
] | Current State: 80:[23, 83, 31, 6], Operations: []
Exploring Operation: 23+83=106, Resulting Numbers: [31, 6, 106]
Generated Node #2: [31, 6, 106] from Operation: 23+83=106
Current State: 80:[31, 6, 106], Operations: ['23+83=106']
Exploring Operation: 31*6=186, Resulting Numbers: [106, 186]
Generated Node #3: [106, 186] from Operation: 31*6=186
Current State: 80:[106, 186], Operations: ['23+83=106', '31*6=186']
Exploring Operation: 186-106=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
94,
88,
14,
71
] | 79 | [
"94-88=6",
"14+71=85",
"85-6=79"
] | Current State: 79:[94, 88, 14, 71], Operations: []
Exploring Operation: 94-88=6, Resulting Numbers: [14, 71, 6]
Generated Node #2: [14, 71, 6] from Operation: 94-88=6
Current State: 79:[14, 71, 6], Operations: ['94-88=6']
Exploring Operation: 14+71=85, Resulting Numbers: [6, 85]
Generated Node #3: [6, 85] from Operation: 14+71=85
Current State: 79:[6, 85], Operations: ['94-88=6', '14+71=85']
Exploring Operation: 85-6=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
96,
29,
30,
26
] | 11 | [
"96-29=67",
"30+26=56",
"67-56=11"
] | Current State: 11:[96, 29, 30, 26], Operations: []
Exploring Operation: 96-29=67, Resulting Numbers: [30, 26, 67]
Generated Node #2: [30, 26, 67] from Operation: 96-29=67
Current State: 11:[30, 26, 67], Operations: ['96-29=67']
Exploring Operation: 30+26=56, Resulting Numbers: [67, 56]
Generated Node #3: [67, 56] from Operation: 30+26=56
Current State: 11:[67, 56], Operations: ['96-29=67', '30+26=56']
Exploring Operation: 67-56=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
7,
49,
27,
92
] | 63 | [
"7+49=56",
"27+92=119",
"119-56=63"
] | Current State: 63:[7, 49, 27, 92], Operations: []
Exploring Operation: 7+49=56, Resulting Numbers: [27, 92, 56]
Generated Node #2: [27, 92, 56] from Operation: 7+49=56
Current State: 63:[27, 92, 56], Operations: ['7+49=56']
Exploring Operation: 27+92=119, Resulting Numbers: [56, 119]
Generated Node #3: [56, 119] from Operation: 27+92=119
Current State: 63:[56, 119], Operations: ['7+49=56', '27+92=119']
Exploring Operation: 119-56=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
39,
20,
80,
54
] | 60 | [
"54-39=15",
"80/20=4",
"15*4=60"
] | Current State: 60:[39, 20, 80, 54], Operations: []
Exploring Operation: 54-39=15, Resulting Numbers: [20, 80, 15]
Generated Node #2: [20, 80, 15] from Operation: 54-39=15
Current State: 60:[20, 80, 15], Operations: ['54-39=15']
Exploring Operation: 80/20=4, Resulting Numbers: [15, 4]
Generated Node #3: [15, 4] from Operation: 80/20=4
Current State: 60:[15, 4], Operations: ['54-39=15', '80/20=4']
Exploring Operation: 15*4=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
47,
41,
36,
45
] | 31 | [
"47-45=2",
"36*2=72",
"72-41=31"
] | Current State: 31:[47, 41, 36, 45], Operations: []
Exploring Operation: 47-45=2, Resulting Numbers: [41, 36, 2]
Generated Node #2: [41, 36, 2] from Operation: 47-45=2
Current State: 31:[41, 36, 2], Operations: ['47-45=2']
Exploring Operation: 36*2=72, Resulting Numbers: [41, 72]
Generated Node #3: [41, 72] from Operation: 36*2=72
Current State: 31:[41, 72], Operations: ['47-45=2', '36*2=72']
Exploring Operation: 72-41=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
69,
27,
87,
2
] | 78 | [
"69+27=96",
"87*2=174",
"174-96=78"
] | Current State: 78:[69, 27, 87, 2], Operations: []
Exploring Operation: 69+27=96, Resulting Numbers: [87, 2, 96]
Generated Node #2: [87, 2, 96] from Operation: 69+27=96
Current State: 78:[87, 2, 96], Operations: ['69+27=96']
Exploring Operation: 87*2=174, Resulting Numbers: [96, 174]
Generated Node #3: [96, 174] from Operation: 87*2=174
Current State: 78:[96, 174], Operations: ['69+27=96', '87*2=174']
Exploring Operation: 174-96=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
3,
68,
43,
46
] | 63 | [
"68-43=25",
"46-25=21",
"3*21=63"
] | Current State: 63:[3, 68, 43, 46], Operations: []
Exploring Operation: 68-43=25, Resulting Numbers: [3, 46, 25]
Generated Node #2: [3, 46, 25] from Operation: 68-43=25
Current State: 63:[3, 46, 25], Operations: ['68-43=25']
Exploring Operation: 46-25=21, Resulting Numbers: [3, 21]
Generated Node #3: [3, 21] from Operation: 46-25=21
Current State: 63:[3, 21], Operations: ['68-43=25', '46-25=21']
Exploring Operation: 3*21=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
8,
33,
45,
69
] | 89 | [
"33-8=25",
"45+69=114",
"114-25=89"
] | Current State: 89:[8, 33, 45, 69], Operations: []
Exploring Operation: 33-8=25, Resulting Numbers: [45, 69, 25]
Generated Node #2: [45, 69, 25] from Operation: 33-8=25
Current State: 89:[45, 69, 25], Operations: ['33-8=25']
Exploring Operation: 45+69=114, Resulting Numbers: [25, 114]
Generated Node #3: [25, 114] from Operation: 45+69=114
Current State: 89:[25, 114], Operations: ['33-8=25', '45+69=114']
Exploring Operation: 114-25=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
18,
5,
5,
63
] | 63 | [
"5-5=0",
"18*0=0",
"63+0=63"
] | Current State: 63:[18, 5, 5, 63], Operations: []
Exploring Operation: 5-5=0, Resulting Numbers: [18, 63, 0]
Generated Node #2: [18, 63, 0] from Operation: 5-5=0
Current State: 63:[18, 63, 0], Operations: ['5-5=0']
Exploring Operation: 18*0=0, Resulting Numbers: [63, 0]
Generated Node #3: [63, 0] from Operation: 18*0=0
Current State: 63:[63, 0], Operations: ['5-5=0', '18*0=0']
Exploring Operation: 63+0=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
14,
98,
8,
40
] | 26 | [
"14+98=112",
"112/8=14",
"40-14=26"
] | Current State: 26:[14, 98, 8, 40], Operations: []
Exploring Operation: 14+98=112, Resulting Numbers: [8, 40, 112]
Generated Node #2: [8, 40, 112] from Operation: 14+98=112
Current State: 26:[8, 40, 112], Operations: ['14+98=112']
Exploring Operation: 112/8=14, Resulting Numbers: [40, 14]
Generated Node #3: [40, 14] from Operation: 112/8=14
Current State: 26:[40, 14], Operations: ['14+98=112', '112/8=14']
Exploring Operation: 40-14=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
39,
16,
58,
19
] | 17 | [
"58-39=19",
"19/19=1",
"16+1=17"
] | Current State: 17:[39, 16, 58, 19], Operations: []
Exploring Operation: 58-39=19, Resulting Numbers: [16, 19, 19]
Generated Node #2: [16, 19, 19] from Operation: 58-39=19
Current State: 17:[16, 19, 19], Operations: ['58-39=19']
Exploring Operation: 19/19=1, Resulting Numbers: [16, 1]
Generated Node #3: [16, 1] from Operation: 19/19=1
Current State: 17:[16, 1], Operations: ['58-39=19', '19/19=1']
Exploring Operation: 16+1=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
62,
63,
10,
83
] | 94 | [
"63-62=1",
"10+83=93",
"1+93=94"
] | Current State: 94:[62, 63, 10, 83], Operations: []
Exploring Operation: 63-62=1, Resulting Numbers: [10, 83, 1]
Generated Node #2: [10, 83, 1] from Operation: 63-62=1
Current State: 94:[10, 83, 1], Operations: ['63-62=1']
Exploring Operation: 10+83=93, Resulting Numbers: [1, 93]
Generated Node #3: [1, 93] from Operation: 10+83=93
Current State: 94:[1, 93], Operations: ['63-62=1', '10+83=93']
Exploring Operation: 1+93=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
89,
54,
58,
29
] | 33 | [
"89-54=35",
"58/29=2",
"35-2=33"
] | Current State: 33:[89, 54, 58, 29], Operations: []
Exploring Operation: 89-54=35, Resulting Numbers: [58, 29, 35]
Generated Node #2: [58, 29, 35] from Operation: 89-54=35
Current State: 33:[58, 29, 35], Operations: ['89-54=35']
Exploring Operation: 58/29=2, Resulting Numbers: [35, 2]
Generated Node #3: [35, 2] from Operation: 58/29=2
Current State: 33:[35, 2], Operations: ['89-54=35', '58/29=2']
Exploring Operation: 35-2=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
11,
30,
2,
86
] | 34 | [
"11*2=22",
"86-30=56",
"56-22=34"
] | Current State: 34:[11, 30, 2, 86], Operations: []
Exploring Operation: 11*2=22, Resulting Numbers: [30, 86, 22]
Generated Node #2: [30, 86, 22] from Operation: 11*2=22
Current State: 34:[30, 86, 22], Operations: ['11*2=22']
Exploring Operation: 86-30=56, Resulting Numbers: [22, 56]
Generated Node #3: [22, 56] from Operation: 86-30=56
Current State: 34:[22, 56], Operations: ['11*2=22', '86-30=56']
Exploring Operation: 56-22=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
87,
21,
59,
73
] | 66 | [
"87-21=66",
"59+73=132",
"132-66=66"
] | Current State: 66:[87, 21, 59, 73], Operations: []
Exploring Operation: 87-21=66, Resulting Numbers: [59, 73, 66]
Generated Node #2: [59, 73, 66] from Operation: 87-21=66
Current State: 66:[59, 73, 66], Operations: ['87-21=66']
Exploring Operation: 59+73=132, Resulting Numbers: [66, 132]
Generated Node #3: [66, 132] from Operation: 59+73=132
Current State: 66:[66, 132], Operations: ['87-21=66', '59+73=132']
Exploring Operation: 132-66=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
55,
22,
17,
9
] | 41 | [
"55-22=33",
"17-9=8",
"33+8=41"
] | Current State: 41:[55, 22, 17, 9], Operations: []
Exploring Operation: 55-22=33, Resulting Numbers: [17, 9, 33]
Generated Node #2: [17, 9, 33] from Operation: 55-22=33
Current State: 41:[17, 9, 33], Operations: ['55-22=33']
Exploring Operation: 17-9=8, Resulting Numbers: [33, 8]
Generated Node #3: [33, 8] from Operation: 17-9=8
Current State: 41:[33, 8], Operations: ['55-22=33', '17-9=8']
Exploring Operation: 33+8=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
78,
7,
86,
83
] | 83 | [
"78+7=85",
"86-85=1",
"83*1=83"
] | Current State: 83:[78, 7, 86, 83], Operations: []
Exploring Operation: 78+7=85, Resulting Numbers: [86, 83, 85]
Generated Node #2: [86, 83, 85] from Operation: 78+7=85
Current State: 83:[86, 83, 85], Operations: ['78+7=85']
Exploring Operation: 86-85=1, Resulting Numbers: [83, 1]
Generated Node #3: [83, 1] from Operation: 86-85=1
Current State: 83:[83, 1], Operations: ['78+7=85', '86-85=1']
Exploring Operation: 83*1=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
89,
97,
8,
86
] | 85 | [
"97-89=8",
"8/8=1",
"86-1=85"
] | Current State: 85:[89, 97, 8, 86], Operations: []
Exploring Operation: 97-89=8, Resulting Numbers: [8, 86, 8]
Generated Node #2: [8, 86, 8] from Operation: 97-89=8
Current State: 85:[8, 86, 8], Operations: ['97-89=8']
Exploring Operation: 8/8=1, Resulting Numbers: [86, 1]
Generated Node #3: [86, 1] from Operation: 8/8=1
Current State: 85:[86, 1], Operations: ['97-89=8', '8/8=1']
Exploring Operation: 86-1=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
42,
34,
90,
39
] | 60 | [
"39-34=5",
"90/5=18",
"42+18=60"
] | Current State: 60:[42, 34, 90, 39], Operations: []
Exploring Operation: 39-34=5, Resulting Numbers: [42, 90, 5]
Generated Node #2: [42, 90, 5] from Operation: 39-34=5
Current State: 60:[42, 90, 5], Operations: ['39-34=5']
Exploring Operation: 90/5=18, Resulting Numbers: [42, 18]
Generated Node #3: [42, 18] from Operation: 90/5=18
Current State: 60:[42, 18], Operations: ['39-34=5', '90/5=18']
Exploring Operation: 42+18=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
3,
17,
73,
44
] | 43 | [
"17-3=14",
"73-44=29",
"14+29=43"
] | Current State: 43:[3, 17, 73, 44], Operations: []
Exploring Operation: 17-3=14, Resulting Numbers: [73, 44, 14]
Generated Node #2: [73, 44, 14] from Operation: 17-3=14
Current State: 43:[73, 44, 14], Operations: ['17-3=14']
Exploring Operation: 73-44=29, Resulting Numbers: [14, 29]
Generated Node #3: [14, 29] from Operation: 73-44=29
Current State: 43:[14, 29], Operations: ['17-3=14', '73-44=29']
Exploring Operation: 14+29=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
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