Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files
xet
Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 16, 11, 85, 24 ]
88
[ "16+11=27", "85-24=61", "27+61=88" ]
Current State: 88:[16, 11, 85, 24], Operations: [] Exploring Operation: 16+11=27, Resulting Numbers: [85, 24, 27] Generated Node #2: [85, 24, 27] from Operation: 16+11=27 Current State: 88:[85, 24, 27], Operations: ['16+11=27'] Exploring Operation: 85-24=61, Resulting Numbers: [27, 61] Generated Node #3: [27, 61] from Operation: 85-24=61 Current State: 88:[27, 61], Operations: ['16+11=27', '85-24=61'] Exploring Operation: 27+61=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 94, 20, 4, 60 ]
29
[ "94-60=34", "20/4=5", "34-5=29" ]
Current State: 29:[94, 20, 4, 60], Operations: [] Exploring Operation: 94-60=34, Resulting Numbers: [20, 4, 34] Generated Node #2: [20, 4, 34] from Operation: 94-60=34 Current State: 29:[20, 4, 34], Operations: ['94-60=34'] Exploring Operation: 20/4=5, Resulting Numbers: [34, 5] Generated Node #3: [34, 5] from Operation: 20/4=5 Current State: 29:[34, 5], Operations: ['94-60=34', '20/4=5'] Exploring Operation: 34-5=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 17, 10, 27, 56 ]
76
[ "17-10=7", "27+56=83", "83-7=76" ]
Current State: 76:[17, 10, 27, 56], Operations: [] Exploring Operation: 17-10=7, Resulting Numbers: [27, 56, 7] Generated Node #2: [27, 56, 7] from Operation: 17-10=7 Current State: 76:[27, 56, 7], Operations: ['17-10=7'] Exploring Operation: 27+56=83, Resulting Numbers: [7, 83] Generated Node #3: [7, 83] from Operation: 27+56=83 Current State: 76:[7, 83], Operations: ['17-10=7', '27+56=83'] Exploring Operation: 83-7=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 8, 76, 68, 21 ]
24
[ "8*21=168", "76+68=144", "168-144=24" ]
Current State: 24:[8, 76, 68, 21], Operations: [] Exploring Operation: 8*21=168, Resulting Numbers: [76, 68, 168] Generated Node #2: [76, 68, 168] from Operation: 8*21=168 Current State: 24:[76, 68, 168], Operations: ['8*21=168'] Exploring Operation: 76+68=144, Resulting Numbers: [168, 144] Generated Node #3: [168, 144] from Operation: 76+68=144 Current State: 24:[168, 144], Operations: ['8*21=168', '76+68=144'] Exploring Operation: 168-144=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 68, 54, 66, 45 ]
97
[ "68-54=14", "66+45=111", "111-14=97" ]
Current State: 97:[68, 54, 66, 45], Operations: [] Exploring Operation: 68-54=14, Resulting Numbers: [66, 45, 14] Generated Node #2: [66, 45, 14] from Operation: 68-54=14 Current State: 97:[66, 45, 14], Operations: ['68-54=14'] Exploring Operation: 66+45=111, Resulting Numbers: [14, 111] Generated Node #3: [14, 111] from Operation: 66+45=111 Current State: 97:[14, 111], Operations: ['68-54=14', '66+45=111'] Exploring Operation: 111-14=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 31, 12, 83, 84 ]
18
[ "31-12=19", "84-83=1", "19-1=18" ]
Current State: 18:[31, 12, 83, 84], Operations: [] Exploring Operation: 31-12=19, Resulting Numbers: [83, 84, 19] Generated Node #2: [83, 84, 19] from Operation: 31-12=19 Current State: 18:[83, 84, 19], Operations: ['31-12=19'] Exploring Operation: 84-83=1, Resulting Numbers: [19, 1] Generated Node #3: [19, 1] from Operation: 84-83=1 Current State: 18:[19, 1], Operations: ['31-12=19', '84-83=1'] Exploring Operation: 19-1=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 63, 75, 37, 14 ]
39
[ "75-63=12", "37+14=51", "51-12=39" ]
Current State: 39:[63, 75, 37, 14], Operations: [] Exploring Operation: 75-63=12, Resulting Numbers: [37, 14, 12] Generated Node #2: [37, 14, 12] from Operation: 75-63=12 Current State: 39:[37, 14, 12], Operations: ['75-63=12'] Exploring Operation: 37+14=51, Resulting Numbers: [12, 51] Generated Node #3: [12, 51] from Operation: 37+14=51 Current State: 39:[12, 51], Operations: ['75-63=12', '37+14=51'] Exploring Operation: 51-12=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 41, 58, 92, 87 ]
60
[ "87-41=46", "92/46=2", "58+2=60" ]
Current State: 60:[41, 58, 92, 87], Operations: [] Exploring Operation: 87-41=46, Resulting Numbers: [58, 92, 46] Generated Node #2: [58, 92, 46] from Operation: 87-41=46 Current State: 60:[58, 92, 46], Operations: ['87-41=46'] Exploring Operation: 92/46=2, Resulting Numbers: [58, 2] Generated Node #3: [58, 2] from Operation: 92/46=2 Current State: 60:[58, 2], Operations: ['87-41=46', '92/46=2'] Exploring Operation: 58+2=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 56, 28, 94, 10 ]
100
[ "56+28=84", "94-84=10", "10*10=100" ]
Current State: 100:[56, 28, 94, 10], Operations: [] Exploring Operation: 56+28=84, Resulting Numbers: [94, 10, 84] Generated Node #2: [94, 10, 84] from Operation: 56+28=84 Current State: 100:[94, 10, 84], Operations: ['56+28=84'] Exploring Operation: 94-84=10, Resulting Numbers: [10, 10] Generated Node #3: [10, 10] from Operation: 94-84=10 Current State: 100:[10, 10], Operations: ['56+28=84', '94-84=10'] Exploring Operation: 10*10=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 7, 7, 7, 59 ]
57
[ "7+7=14", "14/7=2", "59-2=57" ]
Current State: 57:[7, 7, 7, 59], Operations: [] Exploring Operation: 7+7=14, Resulting Numbers: [59, 14] Generated Node #2: [59, 14] from Operation: 7+7=14 Current State: 57:[59, 14], Operations: ['7+7=14'] Exploring Operation: 14/7=2, Resulting Numbers: [59, 2] Generated Node #3: [59, 2] from Operation: 14/7=2 Current State: 57:[59, 2], Operations: ['7+7=14', '14/7=2'] Exploring Operation: 59-2=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 46, 18, 40, 27 ]
40
[ "46-18=28", "28-27=1", "40*1=40" ]
Current State: 40:[46, 18, 40, 27], Operations: [] Exploring Operation: 46-18=28, Resulting Numbers: [40, 27, 28] Generated Node #2: [40, 27, 28] from Operation: 46-18=28 Current State: 40:[40, 27, 28], Operations: ['46-18=28'] Exploring Operation: 28-27=1, Resulting Numbers: [40, 1] Generated Node #3: [40, 1] from Operation: 28-27=1 Current State: 40:[40, 1], Operations: ['46-18=28', '28-27=1'] Exploring Operation: 40*1=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 10, 19, 15, 17 ]
95
[ "10*19=190", "17-15=2", "190/2=95" ]
Current State: 95:[10, 19, 15, 17], Operations: [] Exploring Operation: 10*19=190, Resulting Numbers: [15, 17, 190] Generated Node #2: [15, 17, 190] from Operation: 10*19=190 Current State: 95:[15, 17, 190], Operations: ['10*19=190'] Exploring Operation: 17-15=2, Resulting Numbers: [190, 2] Generated Node #3: [190, 2] from Operation: 17-15=2 Current State: 95:[190, 2], Operations: ['10*19=190', '17-15=2'] Exploring Operation: 190/2=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 33, 30, 2, 73 ]
46
[ "33+73=106", "30*2=60", "106-60=46" ]
Current State: 46:[33, 30, 2, 73], Operations: [] Exploring Operation: 33+73=106, Resulting Numbers: [30, 2, 106] Generated Node #2: [30, 2, 106] from Operation: 33+73=106 Current State: 46:[30, 2, 106], Operations: ['33+73=106'] Exploring Operation: 30*2=60, Resulting Numbers: [106, 60] Generated Node #3: [106, 60] from Operation: 30*2=60 Current State: 46:[106, 60], Operations: ['33+73=106', '30*2=60'] Exploring Operation: 106-60=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 15, 67, 60, 27 ]
85
[ "67-15=52", "60-27=33", "52+33=85" ]
Current State: 85:[15, 67, 60, 27], Operations: [] Exploring Operation: 67-15=52, Resulting Numbers: [60, 27, 52] Generated Node #2: [60, 27, 52] from Operation: 67-15=52 Current State: 85:[60, 27, 52], Operations: ['67-15=52'] Exploring Operation: 60-27=33, Resulting Numbers: [52, 33] Generated Node #3: [52, 33] from Operation: 60-27=33 Current State: 85:[52, 33], Operations: ['67-15=52', '60-27=33'] Exploring Operation: 52+33=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 72, 75, 75, 20 ]
52
[ "72+75=147", "75+20=95", "147-95=52" ]
Current State: 52:[72, 75, 75, 20], Operations: [] Exploring Operation: 72+75=147, Resulting Numbers: [20, 147] Generated Node #2: [20, 147] from Operation: 72+75=147 Current State: 52:[20, 147], Operations: ['72+75=147'] Exploring Operation: 75+20=95, Resulting Numbers: [147, 95] Generated Node #3: [147, 95] from Operation: 75+20=95 Current State: 52:[147, 95], Operations: ['72+75=147', '75+20=95'] Exploring Operation: 147-95=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 20, 5, 16, 23 ]
43
[ "20/5=4", "16+23=39", "4+39=43" ]
Current State: 43:[20, 5, 16, 23], Operations: [] Exploring Operation: 20/5=4, Resulting Numbers: [16, 23, 4] Generated Node #2: [16, 23, 4] from Operation: 20/5=4 Current State: 43:[16, 23, 4], Operations: ['20/5=4'] Exploring Operation: 16+23=39, Resulting Numbers: [4, 39] Generated Node #3: [4, 39] from Operation: 16+23=39 Current State: 43:[4, 39], Operations: ['20/5=4', '16+23=39'] Exploring Operation: 4+39=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 9, 7, 16, 69 ]
69
[ "9+7=16", "16+69=85", "85-16=69" ]
Current State: 69:[9, 7, 16, 69], Operations: [] Exploring Operation: 9+7=16, Resulting Numbers: [16, 69, 16] Generated Node #2: [16, 69, 16] from Operation: 9+7=16 Current State: 69:[16, 69, 16], Operations: ['9+7=16'] Exploring Operation: 16+69=85, Resulting Numbers: [85] 85,69 equal: Goal Reached Exploring Operation: 85-16=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 44, 9, 79, 40 ]
77
[ "79-9=70", "44*70=3080", "3080/40=77" ]
Current State: 77:[44, 9, 79, 40], Operations: [] Exploring Operation: 79-9=70, Resulting Numbers: [44, 40, 70] Generated Node #2: [44, 40, 70] from Operation: 79-9=70 Current State: 77:[44, 40, 70], Operations: ['79-9=70'] Exploring Operation: 44*70=3080, Resulting Numbers: [40, 3080] Generated Node #3: [40, 3080] from Operation: 44*70=3080 Current State: 77:[40, 3080], Operations: ['79-9=70', '44*70=3080'] Exploring Operation: 3080/40=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 31, 39, 79, 8 ]
78
[ "39-31=8", "8/8=1", "79-1=78" ]
Current State: 78:[31, 39, 79, 8], Operations: [] Exploring Operation: 39-31=8, Resulting Numbers: [79, 8, 8] Generated Node #2: [79, 8, 8] from Operation: 39-31=8 Current State: 78:[79, 8, 8], Operations: ['39-31=8'] Exploring Operation: 8/8=1, Resulting Numbers: [79, 1] Generated Node #3: [79, 1] from Operation: 8/8=1 Current State: 78:[79, 1], Operations: ['39-31=8', '8/8=1'] Exploring Operation: 79-1=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 56, 75, 28, 60 ]
90
[ "56*75=4200", "4200/28=150", "150-60=90" ]
Current State: 90:[56, 75, 28, 60], Operations: [] Exploring Operation: 56*75=4200, Resulting Numbers: [28, 60, 4200] Generated Node #2: [28, 60, 4200] from Operation: 56*75=4200 Current State: 90:[28, 60, 4200], Operations: ['56*75=4200'] Exploring Operation: 4200/28=150, Resulting Numbers: [60, 150] Generated Node #3: [60, 150] from Operation: 4200/28=150 Current State: 90:[60, 150], Operations: ['56*75=4200', '4200/28=150'] Exploring Operation: 150-60=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 29, 94, 32, 59 ]
26
[ "94-29=65", "32+59=91", "91-65=26" ]
Current State: 26:[29, 94, 32, 59], Operations: [] Exploring Operation: 94-29=65, Resulting Numbers: [32, 59, 65] Generated Node #2: [32, 59, 65] from Operation: 94-29=65 Current State: 26:[32, 59, 65], Operations: ['94-29=65'] Exploring Operation: 32+59=91, Resulting Numbers: [65, 91] Generated Node #3: [65, 91] from Operation: 32+59=91 Current State: 26:[65, 91], Operations: ['94-29=65', '32+59=91'] Exploring Operation: 91-65=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 68, 2, 63, 15 ]
20
[ "68-63=5", "15-5=10", "2*10=20" ]
Current State: 20:[68, 2, 63, 15], Operations: [] Exploring Operation: 68-63=5, Resulting Numbers: [2, 15, 5] Generated Node #2: [2, 15, 5] from Operation: 68-63=5 Current State: 20:[2, 15, 5], Operations: ['68-63=5'] Exploring Operation: 15-5=10, Resulting Numbers: [2, 10] Generated Node #3: [2, 10] from Operation: 15-5=10 Current State: 20:[2, 10], Operations: ['68-63=5', '15-5=10'] Exploring Operation: 2*10=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 15, 49, 43, 79 ]
88
[ "49-15=34", "43+79=122", "122-34=88" ]
Current State: 88:[15, 49, 43, 79], Operations: [] Exploring Operation: 49-15=34, Resulting Numbers: [43, 79, 34] Generated Node #2: [43, 79, 34] from Operation: 49-15=34 Current State: 88:[43, 79, 34], Operations: ['49-15=34'] Exploring Operation: 43+79=122, Resulting Numbers: [34, 122] Generated Node #3: [34, 122] from Operation: 43+79=122 Current State: 88:[34, 122], Operations: ['49-15=34', '43+79=122'] Exploring Operation: 122-34=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 69, 81, 24, 88 ]
86
[ "69+81=150", "88-24=64", "150-64=86" ]
Current State: 86:[69, 81, 24, 88], Operations: [] Exploring Operation: 69+81=150, Resulting Numbers: [24, 88, 150] Generated Node #2: [24, 88, 150] from Operation: 69+81=150 Current State: 86:[24, 88, 150], Operations: ['69+81=150'] Exploring Operation: 88-24=64, Resulting Numbers: [150, 64] Generated Node #3: [150, 64] from Operation: 88-24=64 Current State: 86:[150, 64], Operations: ['69+81=150', '88-24=64'] Exploring Operation: 150-64=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 43, 22, 5, 91 ]
20
[ "91-5=86", "86/43=2", "22-2=20" ]
Current State: 20:[43, 22, 5, 91], Operations: [] Exploring Operation: 91-5=86, Resulting Numbers: [43, 22, 86] Generated Node #2: [43, 22, 86] from Operation: 91-5=86 Current State: 20:[43, 22, 86], Operations: ['91-5=86'] Exploring Operation: 86/43=2, Resulting Numbers: [22, 2] Generated Node #3: [22, 2] from Operation: 86/43=2 Current State: 20:[22, 2], Operations: ['91-5=86', '86/43=2'] Exploring Operation: 22-2=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 2, 73, 33, 63 ]
13
[ "73-63=10", "2*10=20", "33-20=13" ]
Current State: 13:[2, 73, 33, 63], Operations: [] Exploring Operation: 73-63=10, Resulting Numbers: [2, 33, 10] Generated Node #2: [2, 33, 10] from Operation: 73-63=10 Current State: 13:[2, 33, 10], Operations: ['73-63=10'] Exploring Operation: 2*10=20, Resulting Numbers: [33, 20] Generated Node #3: [33, 20] from Operation: 2*10=20 Current State: 13:[33, 20], Operations: ['73-63=10', '2*10=20'] Exploring Operation: 33-20=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 80, 52, 3, 29 ]
78
[ "29-3=26", "52/26=2", "80-2=78" ]
Current State: 78:[80, 52, 3, 29], Operations: [] Exploring Operation: 29-3=26, Resulting Numbers: [80, 52, 26] Generated Node #2: [80, 52, 26] from Operation: 29-3=26 Current State: 78:[80, 52, 26], Operations: ['29-3=26'] Exploring Operation: 52/26=2, Resulting Numbers: [80, 2] Generated Node #3: [80, 2] from Operation: 52/26=2 Current State: 78:[80, 2], Operations: ['29-3=26', '52/26=2'] Exploring Operation: 80-2=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 93, 51, 39, 91 ]
94
[ "93-51=42", "91-39=52", "42+52=94" ]
Current State: 94:[93, 51, 39, 91], Operations: [] Exploring Operation: 93-51=42, Resulting Numbers: [39, 91, 42] Generated Node #2: [39, 91, 42] from Operation: 93-51=42 Current State: 94:[39, 91, 42], Operations: ['93-51=42'] Exploring Operation: 91-39=52, Resulting Numbers: [42, 52] Generated Node #3: [42, 52] from Operation: 91-39=52 Current State: 94:[42, 52], Operations: ['93-51=42', '91-39=52'] Exploring Operation: 42+52=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 5, 50, 19, 7 ]
43
[ "5+50=55", "19-7=12", "55-12=43" ]
Current State: 43:[5, 50, 19, 7], Operations: [] Exploring Operation: 5+50=55, Resulting Numbers: [19, 7, 55] Generated Node #2: [19, 7, 55] from Operation: 5+50=55 Current State: 43:[19, 7, 55], Operations: ['5+50=55'] Exploring Operation: 19-7=12, Resulting Numbers: [55, 12] Generated Node #3: [55, 12] from Operation: 19-7=12 Current State: 43:[55, 12], Operations: ['5+50=55', '19-7=12'] Exploring Operation: 55-12=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 13, 83, 65, 51 ]
99
[ "65-51=14", "13*14=182", "182-83=99" ]
Current State: 99:[13, 83, 65, 51], Operations: [] Exploring Operation: 65-51=14, Resulting Numbers: [13, 83, 14] Generated Node #2: [13, 83, 14] from Operation: 65-51=14 Current State: 99:[13, 83, 14], Operations: ['65-51=14'] Exploring Operation: 13*14=182, Resulting Numbers: [83, 182] Generated Node #3: [83, 182] from Operation: 13*14=182 Current State: 99:[83, 182], Operations: ['65-51=14', '13*14=182'] Exploring Operation: 182-83=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 44, 17, 2, 47 ]
40
[ "44-17=27", "47-27=20", "2*20=40" ]
Current State: 40:[44, 17, 2, 47], Operations: [] Exploring Operation: 44-17=27, Resulting Numbers: [2, 47, 27] Generated Node #2: [2, 47, 27] from Operation: 44-17=27 Current State: 40:[2, 47, 27], Operations: ['44-17=27'] Exploring Operation: 47-27=20, Resulting Numbers: [2, 20] Generated Node #3: [2, 20] from Operation: 47-27=20 Current State: 40:[2, 20], Operations: ['44-17=27', '47-27=20'] Exploring Operation: 2*20=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 40, 28, 15, 20 ]
24
[ "40+20=60", "60/15=4", "28-4=24" ]
Current State: 24:[40, 28, 15, 20], Operations: [] Exploring Operation: 40+20=60, Resulting Numbers: [28, 15, 60] Generated Node #2: [28, 15, 60] from Operation: 40+20=60 Current State: 24:[28, 15, 60], Operations: ['40+20=60'] Exploring Operation: 60/15=4, Resulting Numbers: [28, 4] Generated Node #3: [28, 4] from Operation: 60/15=4 Current State: 24:[28, 4], Operations: ['40+20=60', '60/15=4'] Exploring Operation: 28-4=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 97, 51, 7, 36 ]
70
[ "97-51=46", "46-36=10", "7*10=70" ]
Current State: 70:[97, 51, 7, 36], Operations: [] Exploring Operation: 97-51=46, Resulting Numbers: [7, 36, 46] Generated Node #2: [7, 36, 46] from Operation: 97-51=46 Current State: 70:[7, 36, 46], Operations: ['97-51=46'] Exploring Operation: 46-36=10, Resulting Numbers: [7, 10] Generated Node #3: [7, 10] from Operation: 46-36=10 Current State: 70:[7, 10], Operations: ['97-51=46', '46-36=10'] Exploring Operation: 7*10=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 52, 41, 8, 44 ]
42
[ "52-8=44", "44/44=1", "41+1=42" ]
Current State: 42:[52, 41, 8, 44], Operations: [] Exploring Operation: 52-8=44, Resulting Numbers: [41, 44, 44] Generated Node #2: [41, 44, 44] from Operation: 52-8=44 Current State: 42:[41, 44, 44], Operations: ['52-8=44'] Exploring Operation: 44/44=1, Resulting Numbers: [41, 1] Generated Node #3: [41, 1] from Operation: 44/44=1 Current State: 42:[41, 1], Operations: ['52-8=44', '44/44=1'] Exploring Operation: 41+1=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 91, 26, 54, 27 ]
38
[ "91-26=65", "54-27=27", "65-27=38" ]
Current State: 38:[91, 26, 54, 27], Operations: [] Exploring Operation: 91-26=65, Resulting Numbers: [54, 27, 65] Generated Node #2: [54, 27, 65] from Operation: 91-26=65 Current State: 38:[54, 27, 65], Operations: ['91-26=65'] Exploring Operation: 54-27=27, Resulting Numbers: [65, 27] Generated Node #3: [65, 27] from Operation: 54-27=27 Current State: 38:[65, 27], Operations: ['91-26=65', '54-27=27'] Exploring Operation: 65-27=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 96, 38, 45, 48 ]
80
[ "96*38=3648", "3648-48=3600", "3600/45=80" ]
Current State: 80:[96, 38, 45, 48], Operations: [] Exploring Operation: 96*38=3648, Resulting Numbers: [45, 48, 3648] Generated Node #2: [45, 48, 3648] from Operation: 96*38=3648 Current State: 80:[45, 48, 3648], Operations: ['96*38=3648'] Exploring Operation: 3648-48=3600, Resulting Numbers: [45, 3600] Generated Node #3: [45, 3600] from Operation: 3648-48=3600 Current State: 80:[45, 3600], Operations: ['96*38=3648', '3648-48=3600'] Exploring Operation: 3600/45=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 94, 22, 21, 9 ]
60
[ "94-22=72", "21-9=12", "72-12=60" ]
Current State: 60:[94, 22, 21, 9], Operations: [] Exploring Operation: 94-22=72, Resulting Numbers: [21, 9, 72] Generated Node #2: [21, 9, 72] from Operation: 94-22=72 Current State: 60:[21, 9, 72], Operations: ['94-22=72'] Exploring Operation: 21-9=12, Resulting Numbers: [72, 12] Generated Node #3: [72, 12] from Operation: 21-9=12 Current State: 60:[72, 12], Operations: ['94-22=72', '21-9=12'] Exploring Operation: 72-12=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 18, 48, 83, 21 ]
92
[ "48-18=30", "83-21=62", "30+62=92" ]
Current State: 92:[18, 48, 83, 21], Operations: [] Exploring Operation: 48-18=30, Resulting Numbers: [83, 21, 30] Generated Node #2: [83, 21, 30] from Operation: 48-18=30 Current State: 92:[83, 21, 30], Operations: ['48-18=30'] Exploring Operation: 83-21=62, Resulting Numbers: [30, 62] Generated Node #3: [30, 62] from Operation: 83-21=62 Current State: 92:[30, 62], Operations: ['48-18=30', '83-21=62'] Exploring Operation: 30+62=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 69, 33, 2, 90 ]
72
[ "69-33=36", "36/2=18", "90-18=72" ]
Current State: 72:[69, 33, 2, 90], Operations: [] Exploring Operation: 69-33=36, Resulting Numbers: [2, 90, 36] Generated Node #2: [2, 90, 36] from Operation: 69-33=36 Current State: 72:[2, 90, 36], Operations: ['69-33=36'] Exploring Operation: 36/2=18, Resulting Numbers: [90, 18] Generated Node #3: [90, 18] from Operation: 36/2=18 Current State: 72:[90, 18], Operations: ['69-33=36', '36/2=18'] Exploring Operation: 90-18=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 19, 44, 2, 14 ]
84
[ "19*2=38", "44-38=6", "14*6=84" ]
Current State: 84:[19, 44, 2, 14], Operations: [] Exploring Operation: 19*2=38, Resulting Numbers: [44, 14, 38] Generated Node #2: [44, 14, 38] from Operation: 19*2=38 Current State: 84:[44, 14, 38], Operations: ['19*2=38'] Exploring Operation: 44-38=6, Resulting Numbers: [14, 6] Generated Node #3: [14, 6] from Operation: 44-38=6 Current State: 84:[14, 6], Operations: ['19*2=38', '44-38=6'] Exploring Operation: 14*6=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 98, 19, 8, 9 ]
18
[ "19-9=10", "8*10=80", "98-80=18" ]
Current State: 18:[98, 19, 8, 9], Operations: [] Exploring Operation: 19-9=10, Resulting Numbers: [98, 8, 10] Generated Node #2: [98, 8, 10] from Operation: 19-9=10 Current State: 18:[98, 8, 10], Operations: ['19-9=10'] Exploring Operation: 8*10=80, Resulting Numbers: [98, 80] Generated Node #3: [98, 80] from Operation: 8*10=80 Current State: 18:[98, 80], Operations: ['19-9=10', '8*10=80'] Exploring Operation: 98-80=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 31, 48, 37, 54 ]
96
[ "31+48=79", "54-37=17", "79+17=96" ]
Current State: 96:[31, 48, 37, 54], Operations: [] Exploring Operation: 31+48=79, Resulting Numbers: [37, 54, 79] Generated Node #2: [37, 54, 79] from Operation: 31+48=79 Current State: 96:[37, 54, 79], Operations: ['31+48=79'] Exploring Operation: 54-37=17, Resulting Numbers: [79, 17] Generated Node #3: [79, 17] from Operation: 54-37=17 Current State: 96:[79, 17], Operations: ['31+48=79', '54-37=17'] Exploring Operation: 79+17=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 45, 78, 35, 2 ]
53
[ "45+78=123", "35*2=70", "123-70=53" ]
Current State: 53:[45, 78, 35, 2], Operations: [] Exploring Operation: 45+78=123, Resulting Numbers: [35, 2, 123] Generated Node #2: [35, 2, 123] from Operation: 45+78=123 Current State: 53:[35, 2, 123], Operations: ['45+78=123'] Exploring Operation: 35*2=70, Resulting Numbers: [123, 70] Generated Node #3: [123, 70] from Operation: 35*2=70 Current State: 53:[123, 70], Operations: ['45+78=123', '35*2=70'] Exploring Operation: 123-70=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 51, 79, 40, 81 ]
62
[ "81-79=2", "51*2=102", "102-40=62" ]
Current State: 62:[51, 79, 40, 81], Operations: [] Exploring Operation: 81-79=2, Resulting Numbers: [51, 40, 2] Generated Node #2: [51, 40, 2] from Operation: 81-79=2 Current State: 62:[51, 40, 2], Operations: ['81-79=2'] Exploring Operation: 51*2=102, Resulting Numbers: [40, 102] Generated Node #3: [40, 102] from Operation: 51*2=102 Current State: 62:[40, 102], Operations: ['81-79=2', '51*2=102'] Exploring Operation: 102-40=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 3, 11, 79, 10 ]
56
[ "3*11=33", "79+10=89", "89-33=56" ]
Current State: 56:[3, 11, 79, 10], Operations: [] Exploring Operation: 3*11=33, Resulting Numbers: [79, 10, 33] Generated Node #2: [79, 10, 33] from Operation: 3*11=33 Current State: 56:[79, 10, 33], Operations: ['3*11=33'] Exploring Operation: 79+10=89, Resulting Numbers: [33, 89] Generated Node #3: [33, 89] from Operation: 79+10=89 Current State: 56:[33, 89], Operations: ['3*11=33', '79+10=89'] Exploring Operation: 89-33=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 22, 57, 21, 82 ]
26
[ "57-22=35", "82-21=61", "61-35=26" ]
Current State: 26:[22, 57, 21, 82], Operations: [] Exploring Operation: 57-22=35, Resulting Numbers: [21, 82, 35] Generated Node #2: [21, 82, 35] from Operation: 57-22=35 Current State: 26:[21, 82, 35], Operations: ['57-22=35'] Exploring Operation: 82-21=61, Resulting Numbers: [35, 61] Generated Node #3: [35, 61] from Operation: 82-21=61 Current State: 26:[35, 61], Operations: ['57-22=35', '82-21=61'] Exploring Operation: 61-35=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 3, 48, 64, 50 ]
70
[ "50-48=2", "3*2=6", "64+6=70" ]
Current State: 70:[3, 48, 64, 50], Operations: [] Exploring Operation: 50-48=2, Resulting Numbers: [3, 64, 2] Generated Node #2: [3, 64, 2] from Operation: 50-48=2 Current State: 70:[3, 64, 2], Operations: ['50-48=2'] Exploring Operation: 3*2=6, Resulting Numbers: [64, 6] Generated Node #3: [64, 6] from Operation: 3*2=6 Current State: 70:[64, 6], Operations: ['50-48=2', '3*2=6'] Exploring Operation: 64+6=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 36, 36, 94, 38 ]
90
[ "36*94=3384", "36+3384=3420", "3420/38=90" ]
Current State: 90:[36, 36, 94, 38], Operations: [] Exploring Operation: 36*94=3384, Resulting Numbers: [38, 3384] Generated Node #2: [38, 3384] from Operation: 36*94=3384 Current State: 90:[38, 3384], Operations: ['36*94=3384'] Exploring Operation: 36+3384=3420, Resulting Numbers: [38, 3420] Generated Node #3: [38, 3420] from Operation: 36+3384=3420 Current State: 90:[38, 3420], Operations: ['36*94=3384', '36+3384=3420'] Exploring Operation: 3420/38=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 29, 51, 49, 21 ]
92
[ "51-29=22", "49+21=70", "22+70=92" ]
Current State: 92:[29, 51, 49, 21], Operations: [] Exploring Operation: 51-29=22, Resulting Numbers: [49, 21, 22] Generated Node #2: [49, 21, 22] from Operation: 51-29=22 Current State: 92:[49, 21, 22], Operations: ['51-29=22'] Exploring Operation: 49+21=70, Resulting Numbers: [22, 70] Generated Node #3: [22, 70] from Operation: 49+21=70 Current State: 92:[22, 70], Operations: ['51-29=22', '49+21=70'] Exploring Operation: 22+70=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 88, 6, 12, 66 ]
22
[ "88*6=528", "528/12=44", "66-44=22" ]
Current State: 22:[88, 6, 12, 66], Operations: [] Exploring Operation: 88*6=528, Resulting Numbers: [12, 66, 528] Generated Node #2: [12, 66, 528] from Operation: 88*6=528 Current State: 22:[12, 66, 528], Operations: ['88*6=528'] Exploring Operation: 528/12=44, Resulting Numbers: [66, 44] Generated Node #3: [66, 44] from Operation: 528/12=44 Current State: 22:[66, 44], Operations: ['88*6=528', '528/12=44'] Exploring Operation: 66-44=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 36, 48, 91, 13 ]
20
[ "36+48=84", "91+13=104", "104-84=20" ]
Current State: 20:[36, 48, 91, 13], Operations: [] Exploring Operation: 36+48=84, Resulting Numbers: [91, 13, 84] Generated Node #2: [91, 13, 84] from Operation: 36+48=84 Current State: 20:[91, 13, 84], Operations: ['36+48=84'] Exploring Operation: 91+13=104, Resulting Numbers: [84, 104] Generated Node #3: [84, 104] from Operation: 91+13=104 Current State: 20:[84, 104], Operations: ['36+48=84', '91+13=104'] Exploring Operation: 104-84=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 47, 87, 79, 69 ]
50
[ "87-47=40", "79-69=10", "40+10=50" ]
Current State: 50:[47, 87, 79, 69], Operations: [] Exploring Operation: 87-47=40, Resulting Numbers: [79, 69, 40] Generated Node #2: [79, 69, 40] from Operation: 87-47=40 Current State: 50:[79, 69, 40], Operations: ['87-47=40'] Exploring Operation: 79-69=10, Resulting Numbers: [40, 10] Generated Node #3: [40, 10] from Operation: 79-69=10 Current State: 50:[40, 10], Operations: ['87-47=40', '79-69=10'] Exploring Operation: 40+10=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 37, 9, 19, 17 ]
64
[ "37-9=28", "19+17=36", "28+36=64" ]
Current State: 64:[37, 9, 19, 17], Operations: [] Exploring Operation: 37-9=28, Resulting Numbers: [19, 17, 28] Generated Node #2: [19, 17, 28] from Operation: 37-9=28 Current State: 64:[19, 17, 28], Operations: ['37-9=28'] Exploring Operation: 19+17=36, Resulting Numbers: [28, 36] Generated Node #3: [28, 36] from Operation: 19+17=36 Current State: 64:[28, 36], Operations: ['37-9=28', '19+17=36'] Exploring Operation: 28+36=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 39, 70, 76, 23 ]
68
[ "70-39=31", "76+23=99", "99-31=68" ]
Current State: 68:[39, 70, 76, 23], Operations: [] Exploring Operation: 70-39=31, Resulting Numbers: [76, 23, 31] Generated Node #2: [76, 23, 31] from Operation: 70-39=31 Current State: 68:[76, 23, 31], Operations: ['70-39=31'] Exploring Operation: 76+23=99, Resulting Numbers: [31, 99] Generated Node #3: [31, 99] from Operation: 76+23=99 Current State: 68:[31, 99], Operations: ['70-39=31', '76+23=99'] Exploring Operation: 99-31=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 48, 48, 51, 4 ]
51
[ "48-48=0", "4*0=0", "51+0=51" ]
Current State: 51:[48, 48, 51, 4], Operations: [] Exploring Operation: 48-48=0, Resulting Numbers: [51, 4, 0] Generated Node #2: [51, 4, 0] from Operation: 48-48=0 Current State: 51:[51, 4, 0], Operations: ['48-48=0'] Exploring Operation: 4*0=0, Resulting Numbers: [51, 0] Generated Node #3: [51, 0] from Operation: 4*0=0 Current State: 51:[51, 0], Operations: ['48-48=0', '4*0=0'] Exploring Operation: 51+0=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 78, 53, 5, 26 ]
51
[ "78/26=3", "53-5=48", "3+48=51" ]
Current State: 51:[78, 53, 5, 26], Operations: [] Exploring Operation: 78/26=3, Resulting Numbers: [53, 5, 3] Generated Node #2: [53, 5, 3] from Operation: 78/26=3 Current State: 51:[53, 5, 3], Operations: ['78/26=3'] Exploring Operation: 53-5=48, Resulting Numbers: [3, 48] Generated Node #3: [3, 48] from Operation: 53-5=48 Current State: 51:[3, 48], Operations: ['78/26=3', '53-5=48'] Exploring Operation: 3+48=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 97, 73, 34, 76 ]
71
[ "97+73=170", "170/34=5", "76-5=71" ]
Current State: 71:[97, 73, 34, 76], Operations: [] Exploring Operation: 97+73=170, Resulting Numbers: [34, 76, 170] Generated Node #2: [34, 76, 170] from Operation: 97+73=170 Current State: 71:[34, 76, 170], Operations: ['97+73=170'] Exploring Operation: 170/34=5, Resulting Numbers: [76, 5] Generated Node #3: [76, 5] from Operation: 170/34=5 Current State: 71:[76, 5], Operations: ['97+73=170', '170/34=5'] Exploring Operation: 76-5=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 90, 15, 60, 66 ]
21
[ "90+15=105", "60+66=126", "126-105=21" ]
Current State: 21:[90, 15, 60, 66], Operations: [] Exploring Operation: 90+15=105, Resulting Numbers: [60, 66, 105] Generated Node #2: [60, 66, 105] from Operation: 90+15=105 Current State: 21:[60, 66, 105], Operations: ['90+15=105'] Exploring Operation: 60+66=126, Resulting Numbers: [105, 126] Generated Node #3: [105, 126] from Operation: 60+66=126 Current State: 21:[105, 126], Operations: ['90+15=105', '60+66=126'] Exploring Operation: 126-105=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 8, 12, 36, 24 ]
24
[ "8*36=288", "24-12=12", "288/12=24" ]
Current State: 24:[8, 12, 36, 24], Operations: [] Exploring Operation: 8*36=288, Resulting Numbers: [12, 24, 288] Generated Node #2: [12, 24, 288] from Operation: 8*36=288 Current State: 24:[12, 24, 288], Operations: ['8*36=288'] Exploring Operation: 24-12=12, Resulting Numbers: [288, 12] Generated Node #3: [288, 12] from Operation: 24-12=12 Current State: 24:[288, 12], Operations: ['8*36=288', '24-12=12'] Exploring Operation: 288/12=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 39, 1, 7, 85 ]
54
[ "39-1=38", "7+85=92", "92-38=54" ]
Current State: 54:[39, 1, 7, 85], Operations: [] Exploring Operation: 39-1=38, Resulting Numbers: [7, 85, 38] Generated Node #2: [7, 85, 38] from Operation: 39-1=38 Current State: 54:[7, 85, 38], Operations: ['39-1=38'] Exploring Operation: 7+85=92, Resulting Numbers: [38, 92] Generated Node #3: [38, 92] from Operation: 7+85=92 Current State: 54:[38, 92], Operations: ['39-1=38', '7+85=92'] Exploring Operation: 92-38=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 1, 6, 10, 74 ]
14
[ "1*6=6", "10+74=84", "84/6=14" ]
Current State: 14:[1, 6, 10, 74], Operations: [] Exploring Operation: 1*6=6, Resulting Numbers: [10, 74, 6] Generated Node #2: [10, 74, 6] from Operation: 1*6=6 Current State: 14:[10, 74, 6], Operations: ['1*6=6'] Exploring Operation: 10+74=84, Resulting Numbers: [6, 84] Generated Node #3: [6, 84] from Operation: 10+74=84 Current State: 14:[6, 84], Operations: ['1*6=6', '10+74=84'] Exploring Operation: 84/6=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 59, 9, 26, 92 ]
83
[ "59+92=151", "9*26=234", "234-151=83" ]
Current State: 83:[59, 9, 26, 92], Operations: [] Exploring Operation: 59+92=151, Resulting Numbers: [9, 26, 151] Generated Node #2: [9, 26, 151] from Operation: 59+92=151 Current State: 83:[9, 26, 151], Operations: ['59+92=151'] Exploring Operation: 9*26=234, Resulting Numbers: [151, 234] Generated Node #3: [151, 234] from Operation: 9*26=234 Current State: 83:[151, 234], Operations: ['59+92=151', '9*26=234'] Exploring Operation: 234-151=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 61, 52, 32, 33 ]
56
[ "61-52=9", "32+33=65", "65-9=56" ]
Current State: 56:[61, 52, 32, 33], Operations: [] Exploring Operation: 61-52=9, Resulting Numbers: [32, 33, 9] Generated Node #2: [32, 33, 9] from Operation: 61-52=9 Current State: 56:[32, 33, 9], Operations: ['61-52=9'] Exploring Operation: 32+33=65, Resulting Numbers: [9, 65] Generated Node #3: [9, 65] from Operation: 32+33=65 Current State: 56:[9, 65], Operations: ['61-52=9', '32+33=65'] Exploring Operation: 65-9=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 33, 39, 2, 20 ]
13
[ "39-33=6", "20+6=26", "26/2=13" ]
Current State: 13:[33, 39, 2, 20], Operations: [] Exploring Operation: 39-33=6, Resulting Numbers: [2, 20, 6] Generated Node #2: [2, 20, 6] from Operation: 39-33=6 Current State: 13:[2, 20, 6], Operations: ['39-33=6'] Exploring Operation: 20+6=26, Resulting Numbers: [2, 26] Generated Node #3: [2, 26] from Operation: 20+6=26 Current State: 13:[2, 26], Operations: ['39-33=6', '20+6=26'] Exploring Operation: 26/2=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 40, 98, 3, 34 ]
96
[ "40-34=6", "6/3=2", "98-2=96" ]
Current State: 96:[40, 98, 3, 34], Operations: [] Exploring Operation: 40-34=6, Resulting Numbers: [98, 3, 6] Generated Node #2: [98, 3, 6] from Operation: 40-34=6 Current State: 96:[98, 3, 6], Operations: ['40-34=6'] Exploring Operation: 6/3=2, Resulting Numbers: [98, 2] Generated Node #3: [98, 2] from Operation: 6/3=2 Current State: 96:[98, 2], Operations: ['40-34=6', '6/3=2'] Exploring Operation: 98-2=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 61, 10, 68, 50 ]
67
[ "61-10=51", "68+50=118", "118-51=67" ]
Current State: 67:[61, 10, 68, 50], Operations: [] Exploring Operation: 61-10=51, Resulting Numbers: [68, 50, 51] Generated Node #2: [68, 50, 51] from Operation: 61-10=51 Current State: 67:[68, 50, 51], Operations: ['61-10=51'] Exploring Operation: 68+50=118, Resulting Numbers: [51, 118] Generated Node #3: [51, 118] from Operation: 68+50=118 Current State: 67:[51, 118], Operations: ['61-10=51', '68+50=118'] Exploring Operation: 118-51=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 23, 24, 93, 22 ]
66
[ "93-24=69", "69/23=3", "22*3=66" ]
Current State: 66:[23, 24, 93, 22], Operations: [] Exploring Operation: 93-24=69, Resulting Numbers: [23, 22, 69] Generated Node #2: [23, 22, 69] from Operation: 93-24=69 Current State: 66:[23, 22, 69], Operations: ['93-24=69'] Exploring Operation: 69/23=3, Resulting Numbers: [22, 3] Generated Node #3: [22, 3] from Operation: 69/23=3 Current State: 66:[22, 3], Operations: ['93-24=69', '69/23=3'] Exploring Operation: 22*3=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 47, 47, 69, 17 ]
52
[ "47-47=0", "69-17=52", "0+52=52" ]
Current State: 52:[47, 47, 69, 17], Operations: [] Exploring Operation: 47-47=0, Resulting Numbers: [69, 17, 0] Generated Node #2: [69, 17, 0] from Operation: 47-47=0 Current State: 52:[69, 17, 0], Operations: ['47-47=0'] Exploring Operation: 69-17=52, Resulting Numbers: [0, 52] Generated Node #3: [0, 52] from Operation: 69-17=52 Current State: 52:[0, 52], Operations: ['47-47=0', '69-17=52'] Exploring Operation: 0+52=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 22, 14, 6, 23 ]
21
[ "22-14=8", "6+23=29", "29-8=21" ]
Current State: 21:[22, 14, 6, 23], Operations: [] Exploring Operation: 22-14=8, Resulting Numbers: [6, 23, 8] Generated Node #2: [6, 23, 8] from Operation: 22-14=8 Current State: 21:[6, 23, 8], Operations: ['22-14=8'] Exploring Operation: 6+23=29, Resulting Numbers: [8, 29] Generated Node #3: [8, 29] from Operation: 6+23=29 Current State: 21:[8, 29], Operations: ['22-14=8', '6+23=29'] Exploring Operation: 29-8=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 10, 71, 61, 58 ]
38
[ "10+71=81", "61+58=119", "119-81=38" ]
Current State: 38:[10, 71, 61, 58], Operations: [] Exploring Operation: 10+71=81, Resulting Numbers: [61, 58, 81] Generated Node #2: [61, 58, 81] from Operation: 10+71=81 Current State: 38:[61, 58, 81], Operations: ['10+71=81'] Exploring Operation: 61+58=119, Resulting Numbers: [81, 119] Generated Node #3: [81, 119] from Operation: 61+58=119 Current State: 38:[81, 119], Operations: ['10+71=81', '61+58=119'] Exploring Operation: 119-81=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 61, 76, 13, 58 ]
56
[ "76-61=15", "13+58=71", "71-15=56" ]
Current State: 56:[61, 76, 13, 58], Operations: [] Exploring Operation: 76-61=15, Resulting Numbers: [13, 58, 15] Generated Node #2: [13, 58, 15] from Operation: 76-61=15 Current State: 56:[13, 58, 15], Operations: ['76-61=15'] Exploring Operation: 13+58=71, Resulting Numbers: [15, 71] Generated Node #3: [15, 71] from Operation: 13+58=71 Current State: 56:[15, 71], Operations: ['76-61=15', '13+58=71'] Exploring Operation: 71-15=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 23, 11, 32, 89 ]
26
[ "89-23=66", "66/11=6", "32-6=26" ]
Current State: 26:[23, 11, 32, 89], Operations: [] Exploring Operation: 89-23=66, Resulting Numbers: [11, 32, 66] Generated Node #2: [11, 32, 66] from Operation: 89-23=66 Current State: 26:[11, 32, 66], Operations: ['89-23=66'] Exploring Operation: 66/11=6, Resulting Numbers: [32, 6] Generated Node #3: [32, 6] from Operation: 66/11=6 Current State: 26:[32, 6], Operations: ['89-23=66', '66/11=6'] Exploring Operation: 32-6=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 29, 69, 11, 46 ]
97
[ "69-29=40", "11+46=57", "40+57=97" ]
Current State: 97:[29, 69, 11, 46], Operations: [] Exploring Operation: 69-29=40, Resulting Numbers: [11, 46, 40] Generated Node #2: [11, 46, 40] from Operation: 69-29=40 Current State: 97:[11, 46, 40], Operations: ['69-29=40'] Exploring Operation: 11+46=57, Resulting Numbers: [40, 57] Generated Node #3: [40, 57] from Operation: 11+46=57 Current State: 97:[40, 57], Operations: ['69-29=40', '11+46=57'] Exploring Operation: 40+57=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 74, 19, 33, 22 ]
62
[ "74+19=93", "22*93=2046", "2046/33=62" ]
Current State: 62:[74, 19, 33, 22], Operations: [] Exploring Operation: 74+19=93, Resulting Numbers: [33, 22, 93] Generated Node #2: [33, 22, 93] from Operation: 74+19=93 Current State: 62:[33, 22, 93], Operations: ['74+19=93'] Exploring Operation: 22*93=2046, Resulting Numbers: [33, 2046] Generated Node #3: [33, 2046] from Operation: 22*93=2046 Current State: 62:[33, 2046], Operations: ['74+19=93', '22*93=2046'] Exploring Operation: 2046/33=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 8, 33, 40, 72 ]
100
[ "40/8=5", "33+72=105", "105-5=100" ]
Current State: 100:[8, 33, 40, 72], Operations: [] Exploring Operation: 40/8=5, Resulting Numbers: [33, 72, 5] Generated Node #2: [33, 72, 5] from Operation: 40/8=5 Current State: 100:[33, 72, 5], Operations: ['40/8=5'] Exploring Operation: 33+72=105, Resulting Numbers: [5, 105] Generated Node #3: [5, 105] from Operation: 33+72=105 Current State: 100:[5, 105], Operations: ['40/8=5', '33+72=105'] Exploring Operation: 105-5=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 61, 8, 52, 78 ]
79
[ "61-8=53", "78-52=26", "53+26=79" ]
Current State: 79:[61, 8, 52, 78], Operations: [] Exploring Operation: 61-8=53, Resulting Numbers: [52, 78, 53] Generated Node #2: [52, 78, 53] from Operation: 61-8=53 Current State: 79:[52, 78, 53], Operations: ['61-8=53'] Exploring Operation: 78-52=26, Resulting Numbers: [53, 26] Generated Node #3: [53, 26] from Operation: 78-52=26 Current State: 79:[53, 26], Operations: ['61-8=53', '78-52=26'] Exploring Operation: 53+26=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 49, 54, 73, 23 ]
54
[ "73-49=24", "24-23=1", "54*1=54" ]
Current State: 54:[49, 54, 73, 23], Operations: [] Exploring Operation: 73-49=24, Resulting Numbers: [54, 23, 24] Generated Node #2: [54, 23, 24] from Operation: 73-49=24 Current State: 54:[54, 23, 24], Operations: ['73-49=24'] Exploring Operation: 24-23=1, Resulting Numbers: [54, 1] Generated Node #3: [54, 1] from Operation: 24-23=1 Current State: 54:[54, 1], Operations: ['73-49=24', '24-23=1'] Exploring Operation: 54*1=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 3, 53, 37, 38 ]
78
[ "37+38=75", "75/3=25", "53+25=78" ]
Current State: 78:[3, 53, 37, 38], Operations: [] Exploring Operation: 37+38=75, Resulting Numbers: [3, 53, 75] Generated Node #2: [3, 53, 75] from Operation: 37+38=75 Current State: 78:[3, 53, 75], Operations: ['37+38=75'] Exploring Operation: 75/3=25, Resulting Numbers: [53, 25] Generated Node #3: [53, 25] from Operation: 75/3=25 Current State: 78:[53, 25], Operations: ['37+38=75', '75/3=25'] Exploring Operation: 53+25=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 1, 9, 99, 3 ]
41
[ "9-1=8", "99/3=33", "8+33=41" ]
Current State: 41:[1, 9, 99, 3], Operations: [] Exploring Operation: 9-1=8, Resulting Numbers: [99, 3, 8] Generated Node #2: [99, 3, 8] from Operation: 9-1=8 Current State: 41:[99, 3, 8], Operations: ['9-1=8'] Exploring Operation: 99/3=33, Resulting Numbers: [8, 33] Generated Node #3: [8, 33] from Operation: 99/3=33 Current State: 41:[8, 33], Operations: ['9-1=8', '99/3=33'] Exploring Operation: 8+33=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 95, 87, 46, 63 ]
73
[ "95+87=182", "46+63=109", "182-109=73" ]
Current State: 73:[95, 87, 46, 63], Operations: [] Exploring Operation: 95+87=182, Resulting Numbers: [46, 63, 182] Generated Node #2: [46, 63, 182] from Operation: 95+87=182 Current State: 73:[46, 63, 182], Operations: ['95+87=182'] Exploring Operation: 46+63=109, Resulting Numbers: [182, 109] Generated Node #3: [182, 109] from Operation: 46+63=109 Current State: 73:[182, 109], Operations: ['95+87=182', '46+63=109'] Exploring Operation: 182-109=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 7, 31, 58, 37 ]
58
[ "7+31=38", "38-37=1", "58*1=58" ]
Current State: 58:[7, 31, 58, 37], Operations: [] Exploring Operation: 7+31=38, Resulting Numbers: [58, 37, 38] Generated Node #2: [58, 37, 38] from Operation: 7+31=38 Current State: 58:[58, 37, 38], Operations: ['7+31=38'] Exploring Operation: 38-37=1, Resulting Numbers: [58, 1] Generated Node #3: [58, 1] from Operation: 38-37=1 Current State: 58:[58, 1], Operations: ['7+31=38', '38-37=1'] Exploring Operation: 58*1=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 86, 7, 81, 29 ]
36
[ "86+81=167", "7*29=203", "203-167=36" ]
Current State: 36:[86, 7, 81, 29], Operations: [] Exploring Operation: 86+81=167, Resulting Numbers: [7, 29, 167] Generated Node #2: [7, 29, 167] from Operation: 86+81=167 Current State: 36:[7, 29, 167], Operations: ['86+81=167'] Exploring Operation: 7*29=203, Resulting Numbers: [167, 203] Generated Node #3: [167, 203] from Operation: 7*29=203 Current State: 36:[167, 203], Operations: ['86+81=167', '7*29=203'] Exploring Operation: 203-167=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 63, 53, 70, 11 ]
18
[ "63-53=10", "70/10=7", "11+7=18" ]
Current State: 18:[63, 53, 70, 11], Operations: [] Exploring Operation: 63-53=10, Resulting Numbers: [70, 11, 10] Generated Node #2: [70, 11, 10] from Operation: 63-53=10 Current State: 18:[70, 11, 10], Operations: ['63-53=10'] Exploring Operation: 70/10=7, Resulting Numbers: [11, 7] Generated Node #3: [11, 7] from Operation: 70/10=7 Current State: 18:[11, 7], Operations: ['63-53=10', '70/10=7'] Exploring Operation: 11+7=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 63, 10, 52, 34 ]
35
[ "63*10=630", "52-34=18", "630/18=35" ]
Current State: 35:[63, 10, 52, 34], Operations: [] Exploring Operation: 63*10=630, Resulting Numbers: [52, 34, 630] Generated Node #2: [52, 34, 630] from Operation: 63*10=630 Current State: 35:[52, 34, 630], Operations: ['63*10=630'] Exploring Operation: 52-34=18, Resulting Numbers: [630, 18] Generated Node #3: [630, 18] from Operation: 52-34=18 Current State: 35:[630, 18], Operations: ['63*10=630', '52-34=18'] Exploring Operation: 630/18=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 4, 37, 26, 83 ]
16
[ "4+37=41", "83-26=57", "57-41=16" ]
Current State: 16:[4, 37, 26, 83], Operations: [] Exploring Operation: 4+37=41, Resulting Numbers: [26, 83, 41] Generated Node #2: [26, 83, 41] from Operation: 4+37=41 Current State: 16:[26, 83, 41], Operations: ['4+37=41'] Exploring Operation: 83-26=57, Resulting Numbers: [41, 57] Generated Node #3: [41, 57] from Operation: 83-26=57 Current State: 16:[41, 57], Operations: ['4+37=41', '83-26=57'] Exploring Operation: 57-41=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 15, 78, 35, 37 ]
10
[ "78+35=113", "37+113=150", "150/15=10" ]
Current State: 10:[15, 78, 35, 37], Operations: [] Exploring Operation: 78+35=113, Resulting Numbers: [15, 37, 113] Generated Node #2: [15, 37, 113] from Operation: 78+35=113 Current State: 10:[15, 37, 113], Operations: ['78+35=113'] Exploring Operation: 37+113=150, Resulting Numbers: [15, 150] Generated Node #3: [15, 150] from Operation: 37+113=150 Current State: 10:[15, 150], Operations: ['78+35=113', '37+113=150'] Exploring Operation: 150/15=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 90, 70, 80, 59 ]
52
[ "90-80=10", "70/10=7", "59-7=52" ]
Current State: 52:[90, 70, 80, 59], Operations: [] Exploring Operation: 90-80=10, Resulting Numbers: [70, 59, 10] Generated Node #2: [70, 59, 10] from Operation: 90-80=10 Current State: 52:[70, 59, 10], Operations: ['90-80=10'] Exploring Operation: 70/10=7, Resulting Numbers: [59, 7] Generated Node #3: [59, 7] from Operation: 70/10=7 Current State: 52:[59, 7], Operations: ['90-80=10', '70/10=7'] Exploring Operation: 59-7=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 83, 82, 68, 30 ]
67
[ "83+82=165", "68+30=98", "165-98=67" ]
Current State: 67:[83, 82, 68, 30], Operations: [] Exploring Operation: 83+82=165, Resulting Numbers: [68, 30, 165] Generated Node #2: [68, 30, 165] from Operation: 83+82=165 Current State: 67:[68, 30, 165], Operations: ['83+82=165'] Exploring Operation: 68+30=98, Resulting Numbers: [165, 98] Generated Node #3: [165, 98] from Operation: 68+30=98 Current State: 67:[165, 98], Operations: ['83+82=165', '68+30=98'] Exploring Operation: 165-98=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 29, 12, 96, 15 ]
55
[ "29+96=125", "12*15=180", "180-125=55" ]
Current State: 55:[29, 12, 96, 15], Operations: [] Exploring Operation: 29+96=125, Resulting Numbers: [12, 15, 125] Generated Node #2: [12, 15, 125] from Operation: 29+96=125 Current State: 55:[12, 15, 125], Operations: ['29+96=125'] Exploring Operation: 12*15=180, Resulting Numbers: [125, 180] Generated Node #3: [125, 180] from Operation: 12*15=180 Current State: 55:[125, 180], Operations: ['29+96=125', '12*15=180'] Exploring Operation: 180-125=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 9, 17, 24, 85 ]
69
[ "17-9=8", "85-24=61", "8+61=69" ]
Current State: 69:[9, 17, 24, 85], Operations: [] Exploring Operation: 17-9=8, Resulting Numbers: [24, 85, 8] Generated Node #2: [24, 85, 8] from Operation: 17-9=8 Current State: 69:[24, 85, 8], Operations: ['17-9=8'] Exploring Operation: 85-24=61, Resulting Numbers: [8, 61] Generated Node #3: [8, 61] from Operation: 85-24=61 Current State: 69:[8, 61], Operations: ['17-9=8', '85-24=61'] Exploring Operation: 8+61=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 84, 21, 70, 50 ]
69
[ "21*50=1050", "1050/70=15", "84-15=69" ]
Current State: 69:[84, 21, 70, 50], Operations: [] Exploring Operation: 21*50=1050, Resulting Numbers: [84, 70, 1050] Generated Node #2: [84, 70, 1050] from Operation: 21*50=1050 Current State: 69:[84, 70, 1050], Operations: ['21*50=1050'] Exploring Operation: 1050/70=15, Resulting Numbers: [84, 15] Generated Node #3: [84, 15] from Operation: 1050/70=15 Current State: 69:[84, 15], Operations: ['21*50=1050', '1050/70=15'] Exploring Operation: 84-15=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 5, 9, 90, 92 ]
16
[ "5+9=14", "92-90=2", "14+2=16" ]
Current State: 16:[5, 9, 90, 92], Operations: [] Exploring Operation: 5+9=14, Resulting Numbers: [90, 92, 14] Generated Node #2: [90, 92, 14] from Operation: 5+9=14 Current State: 16:[90, 92, 14], Operations: ['5+9=14'] Exploring Operation: 92-90=2, Resulting Numbers: [14, 2] Generated Node #3: [14, 2] from Operation: 92-90=2 Current State: 16:[14, 2], Operations: ['5+9=14', '92-90=2'] Exploring Operation: 14+2=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 11, 41, 37, 54 ]
13
[ "41-11=30", "54-37=17", "30-17=13" ]
Current State: 13:[11, 41, 37, 54], Operations: [] Exploring Operation: 41-11=30, Resulting Numbers: [37, 54, 30] Generated Node #2: [37, 54, 30] from Operation: 41-11=30 Current State: 13:[37, 54, 30], Operations: ['41-11=30'] Exploring Operation: 54-37=17, Resulting Numbers: [30, 17] Generated Node #3: [30, 17] from Operation: 54-37=17 Current State: 13:[30, 17], Operations: ['41-11=30', '54-37=17'] Exploring Operation: 30-17=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 5, 74, 44, 81 ]
88
[ "5+74=79", "81-79=2", "44*2=88" ]
Current State: 88:[5, 74, 44, 81], Operations: [] Exploring Operation: 5+74=79, Resulting Numbers: [44, 81, 79] Generated Node #2: [44, 81, 79] from Operation: 5+74=79 Current State: 88:[44, 81, 79], Operations: ['5+74=79'] Exploring Operation: 81-79=2, Resulting Numbers: [44, 2] Generated Node #3: [44, 2] from Operation: 81-79=2 Current State: 88:[44, 2], Operations: ['5+74=79', '81-79=2'] Exploring Operation: 44*2=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 48, 60, 13, 1 ]
26
[ "60-48=12", "13+1=14", "12+14=26" ]
Current State: 26:[48, 60, 13, 1], Operations: [] Exploring Operation: 60-48=12, Resulting Numbers: [13, 1, 12] Generated Node #2: [13, 1, 12] from Operation: 60-48=12 Current State: 26:[13, 1, 12], Operations: ['60-48=12'] Exploring Operation: 13+1=14, Resulting Numbers: [12, 14] Generated Node #3: [12, 14] from Operation: 13+1=14 Current State: 26:[12, 14], Operations: ['60-48=12', '13+1=14'] Exploring Operation: 12+14=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 84, 1, 70, 51 ]
65
[ "84*1=84", "70-51=19", "84-19=65" ]
Current State: 65:[84, 1, 70, 51], Operations: [] Exploring Operation: 84*1=84, Resulting Numbers: [70, 51, 84] Generated Node #2: [70, 51, 84] from Operation: 84*1=84 Current State: 65:[70, 51, 84], Operations: ['84*1=84'] Exploring Operation: 70-51=19, Resulting Numbers: [84, 19] Generated Node #3: [84, 19] from Operation: 70-51=19 Current State: 65:[84, 19], Operations: ['84*1=84', '70-51=19'] Exploring Operation: 84-19=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 60, 64, 26, 24 ]
36
[ "64+26=90", "24*90=2160", "2160/60=36" ]
Current State: 36:[60, 64, 26, 24], Operations: [] Exploring Operation: 64+26=90, Resulting Numbers: [60, 24, 90] Generated Node #2: [60, 24, 90] from Operation: 64+26=90 Current State: 36:[60, 24, 90], Operations: ['64+26=90'] Exploring Operation: 24*90=2160, Resulting Numbers: [60, 2160] Generated Node #3: [60, 2160] from Operation: 24*90=2160 Current State: 36:[60, 2160], Operations: ['64+26=90', '24*90=2160'] Exploring Operation: 2160/60=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 7, 67, 19, 69 ]
10
[ "67-7=60", "69-19=50", "60-50=10" ]
Current State: 10:[7, 67, 19, 69], Operations: [] Exploring Operation: 67-7=60, Resulting Numbers: [19, 69, 60] Generated Node #2: [19, 69, 60] from Operation: 67-7=60 Current State: 10:[19, 69, 60], Operations: ['67-7=60'] Exploring Operation: 69-19=50, Resulting Numbers: [60, 50] Generated Node #3: [60, 50] from Operation: 69-19=50 Current State: 10:[60, 50], Operations: ['67-7=60', '69-19=50'] Exploring Operation: 60-50=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 85, 73, 99, 94 ]
56
[ "99-94=5", "85/5=17", "73-17=56" ]
Current State: 56:[85, 73, 99, 94], Operations: [] Exploring Operation: 99-94=5, Resulting Numbers: [85, 73, 5] Generated Node #2: [85, 73, 5] from Operation: 99-94=5 Current State: 56:[85, 73, 5], Operations: ['99-94=5'] Exploring Operation: 85/5=17, Resulting Numbers: [73, 17] Generated Node #3: [73, 17] from Operation: 85/5=17 Current State: 56:[73, 17], Operations: ['99-94=5', '85/5=17'] Exploring Operation: 73-17=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 77, 9, 75, 36 ]
47
[ "77+9=86", "75-36=39", "86-39=47" ]
Current State: 47:[77, 9, 75, 36], Operations: [] Exploring Operation: 77+9=86, Resulting Numbers: [75, 36, 86] Generated Node #2: [75, 36, 86] from Operation: 77+9=86 Current State: 47:[75, 36, 86], Operations: ['77+9=86'] Exploring Operation: 75-36=39, Resulting Numbers: [86, 39] Generated Node #3: [86, 39] from Operation: 75-36=39 Current State: 47:[86, 39], Operations: ['77+9=86', '75-36=39'] Exploring Operation: 86-39=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4