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
[ 2, 46, 31, 13 ]
67
[ "46/2=23", "31+13=44", "23+44=67" ]
Current State: 67:[2, 46, 31, 13], Operations: [] Exploring Operation: 46/2=23, Resulting Numbers: [31, 13, 23] Generated Node #2: [31, 13, 23] from Operation: 46/2=23 Current State: 67:[31, 13, 23], Operations: ['46/2=23'] Exploring Operation: 31+13=44, Resulting Numbers: [23, 44] Generated Node #3: [23, 44] from Operation: 31+13=44 Current State: 67:[23, 44], Operations: ['46/2=23', '31+13=44'] Exploring Operation: 23+44=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 32, 24, 66, 80 ]
76
[ "32-24=8", "80/8=10", "66+10=76" ]
Current State: 76:[32, 24, 66, 80], Operations: [] Exploring Operation: 32-24=8, Resulting Numbers: [66, 80, 8] Generated Node #2: [66, 80, 8] from Operation: 32-24=8 Current State: 76:[66, 80, 8], Operations: ['32-24=8'] Exploring Operation: 80/8=10, Resulting Numbers: [66, 10] Generated Node #3: [66, 10] from Operation: 80/8=10 Current State: 76:[66, 10], Operations: ['32-24=8', '80/8=10'] Exploring Operation: 66+10=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 92, 3, 99, 13 ]
60
[ "99-92=7", "13+7=20", "3*20=60" ]
Current State: 60:[92, 3, 99, 13], Operations: [] Exploring Operation: 99-92=7, Resulting Numbers: [3, 13, 7] Generated Node #2: [3, 13, 7] from Operation: 99-92=7 Current State: 60:[3, 13, 7], Operations: ['99-92=7'] Exploring Operation: 13+7=20, Resulting Numbers: [3, 20] Generated Node #3: [3, 20] from Operation: 13+7=20 Current State: 60:[3, 20], Operations: ['99-92=7', '13+7=20'] Exploring Operation: 3*20=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 21, 98, 21, 86 ]
30
[ "98-21=77", "21+86=107", "107-77=30" ]
Current State: 30:[21, 98, 21, 86], Operations: [] Exploring Operation: 98-21=77, Resulting Numbers: [86, 77] Generated Node #2: [86, 77] from Operation: 98-21=77 Current State: 30:[86, 77], Operations: ['98-21=77'] Exploring Operation: 21+86=107, Resulting Numbers: [77, 107] Generated Node #3: [77, 107] from Operation: 21+86=107 Current State: 30:[77, 107], Operations: ['98-21=77', '21+86=107'] Exploring Operation: 107-77=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 31, 16, 87, 84 ]
24
[ "87-31=56", "16*84=1344", "1344/56=24" ]
Current State: 24:[31, 16, 87, 84], Operations: [] Exploring Operation: 87-31=56, Resulting Numbers: [16, 84, 56] Generated Node #2: [16, 84, 56] from Operation: 87-31=56 Current State: 24:[16, 84, 56], Operations: ['87-31=56'] Exploring Operation: 16*84=1344, Resulting Numbers: [56, 1344] Generated Node #3: [56, 1344] from Operation: 16*84=1344 Current State: 24:[56, 1344], Operations: ['87-31=56', '16*84=1344'] Exploring Operation: 1344/56=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 77, 20, 36, 9 ]
82
[ "20*9=180", "180/36=5", "77+5=82" ]
Current State: 82:[77, 20, 36, 9], Operations: [] Exploring Operation: 20*9=180, Resulting Numbers: [77, 36, 180] Generated Node #2: [77, 36, 180] from Operation: 20*9=180 Current State: 82:[77, 36, 180], Operations: ['20*9=180'] Exploring Operation: 180/36=5, Resulting Numbers: [77, 5] Generated Node #3: [77, 5] from Operation: 180/36=5 Current State: 82:[77, 5], Operations: ['20*9=180', '180/36=5'] Exploring Operation: 77+5=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 5, 90, 26, 53 ]
13
[ "5*26=130", "90+53=143", "143-130=13" ]
Current State: 13:[5, 90, 26, 53], Operations: [] Exploring Operation: 5*26=130, Resulting Numbers: [90, 53, 130] Generated Node #2: [90, 53, 130] from Operation: 5*26=130 Current State: 13:[90, 53, 130], Operations: ['5*26=130'] Exploring Operation: 90+53=143, Resulting Numbers: [130, 143] Generated Node #3: [130, 143] from Operation: 90+53=143 Current State: 13:[130, 143], Operations: ['5*26=130', '90+53=143'] Exploring Operation: 143-130=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 29, 95, 1, 99 ]
32
[ "95-29=66", "99-1=98", "98-66=32" ]
Current State: 32:[29, 95, 1, 99], Operations: [] Exploring Operation: 95-29=66, Resulting Numbers: [1, 99, 66] Generated Node #2: [1, 99, 66] from Operation: 95-29=66 Current State: 32:[1, 99, 66], Operations: ['95-29=66'] Exploring Operation: 99-1=98, Resulting Numbers: [66, 98] Generated Node #3: [66, 98] from Operation: 99-1=98 Current State: 32:[66, 98], Operations: ['95-29=66', '99-1=98'] Exploring Operation: 98-66=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 88, 94, 2, 39 ]
52
[ "88+94=182", "182/2=91", "91-39=52" ]
Current State: 52:[88, 94, 2, 39], Operations: [] Exploring Operation: 88+94=182, Resulting Numbers: [2, 39, 182] Generated Node #2: [2, 39, 182] from Operation: 88+94=182 Current State: 52:[2, 39, 182], Operations: ['88+94=182'] Exploring Operation: 182/2=91, Resulting Numbers: [39, 91] Generated Node #3: [39, 91] from Operation: 182/2=91 Current State: 52:[39, 91], Operations: ['88+94=182', '182/2=91'] Exploring Operation: 91-39=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 7, 12, 52, 55 ]
28
[ "7*12=84", "55-52=3", "84/3=28" ]
Current State: 28:[7, 12, 52, 55], Operations: [] Exploring Operation: 7*12=84, Resulting Numbers: [52, 55, 84] Generated Node #2: [52, 55, 84] from Operation: 7*12=84 Current State: 28:[52, 55, 84], Operations: ['7*12=84'] Exploring Operation: 55-52=3, Resulting Numbers: [84, 3] Generated Node #3: [84, 3] from Operation: 55-52=3 Current State: 28:[84, 3], Operations: ['7*12=84', '55-52=3'] Exploring Operation: 84/3=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 89, 5, 45, 4 ]
94
[ "89-4=85", "45/5=9", "85+9=94" ]
Current State: 94:[89, 5, 45, 4], Operations: [] Exploring Operation: 89-4=85, Resulting Numbers: [5, 45, 85] Generated Node #2: [5, 45, 85] from Operation: 89-4=85 Current State: 94:[5, 45, 85], Operations: ['89-4=85'] Exploring Operation: 45/5=9, Resulting Numbers: [85, 9] Generated Node #3: [85, 9] from Operation: 45/5=9 Current State: 94:[85, 9], Operations: ['89-4=85', '45/5=9'] Exploring Operation: 85+9=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 7, 10, 53, 8 ]
20
[ "7+53=60", "10*8=80", "80-60=20" ]
Current State: 20:[7, 10, 53, 8], Operations: [] Exploring Operation: 7+53=60, Resulting Numbers: [10, 8, 60] Generated Node #2: [10, 8, 60] from Operation: 7+53=60 Current State: 20:[10, 8, 60], Operations: ['7+53=60'] Exploring Operation: 10*8=80, Resulting Numbers: [60, 80] Generated Node #3: [60, 80] from Operation: 10*8=80 Current State: 20:[60, 80], Operations: ['7+53=60', '10*8=80'] Exploring Operation: 80-60=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 22, 18, 2, 30 ]
92
[ "22*2=44", "18+30=48", "44+48=92" ]
Current State: 92:[22, 18, 2, 30], Operations: [] Exploring Operation: 22*2=44, Resulting Numbers: [18, 30, 44] Generated Node #2: [18, 30, 44] from Operation: 22*2=44 Current State: 92:[18, 30, 44], Operations: ['22*2=44'] Exploring Operation: 18+30=48, Resulting Numbers: [44, 48] Generated Node #3: [44, 48] from Operation: 18+30=48 Current State: 92:[44, 48], Operations: ['22*2=44', '18+30=48'] Exploring Operation: 44+48=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 48, 96, 99, 31 ]
20
[ "96-48=48", "99-31=68", "68-48=20" ]
Current State: 20:[48, 96, 99, 31], Operations: [] Exploring Operation: 96-48=48, Resulting Numbers: [99, 31, 48] Generated Node #2: [99, 31, 48] from Operation: 96-48=48 Current State: 20:[99, 31, 48], Operations: ['96-48=48'] Exploring Operation: 99-31=68, Resulting Numbers: [48, 68] Generated Node #3: [48, 68] from Operation: 99-31=68 Current State: 20:[48, 68], Operations: ['96-48=48', '99-31=68'] Exploring Operation: 68-48=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 89, 64, 72, 85 ]
12
[ "89-64=25", "85-72=13", "25-13=12" ]
Current State: 12:[89, 64, 72, 85], Operations: [] Exploring Operation: 89-64=25, Resulting Numbers: [72, 85, 25] Generated Node #2: [72, 85, 25] from Operation: 89-64=25 Current State: 12:[72, 85, 25], Operations: ['89-64=25'] Exploring Operation: 85-72=13, Resulting Numbers: [25, 13] Generated Node #3: [25, 13] from Operation: 85-72=13 Current State: 12:[25, 13], Operations: ['89-64=25', '85-72=13'] Exploring Operation: 25-13=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 2, 68, 47, 52 ]
94
[ "68-47=21", "2*21=42", "52+42=94" ]
Current State: 94:[2, 68, 47, 52], Operations: [] Exploring Operation: 68-47=21, Resulting Numbers: [2, 52, 21] Generated Node #2: [2, 52, 21] from Operation: 68-47=21 Current State: 94:[2, 52, 21], Operations: ['68-47=21'] Exploring Operation: 2*21=42, Resulting Numbers: [52, 42] Generated Node #3: [52, 42] from Operation: 2*21=42 Current State: 94:[52, 42], Operations: ['68-47=21', '2*21=42'] Exploring Operation: 52+42=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 24, 35, 87, 49 ]
97
[ "24+35=59", "87-49=38", "59+38=97" ]
Current State: 97:[24, 35, 87, 49], Operations: [] Exploring Operation: 24+35=59, Resulting Numbers: [87, 49, 59] Generated Node #2: [87, 49, 59] from Operation: 24+35=59 Current State: 97:[87, 49, 59], Operations: ['24+35=59'] Exploring Operation: 87-49=38, Resulting Numbers: [59, 38] Generated Node #3: [59, 38] from Operation: 87-49=38 Current State: 97:[59, 38], Operations: ['24+35=59', '87-49=38'] Exploring Operation: 59+38=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 10, 89, 74, 68 ]
43
[ "10+89=99", "74+68=142", "142-99=43" ]
Current State: 43:[10, 89, 74, 68], Operations: [] Exploring Operation: 10+89=99, Resulting Numbers: [74, 68, 99] Generated Node #2: [74, 68, 99] from Operation: 10+89=99 Current State: 43:[74, 68, 99], Operations: ['10+89=99'] Exploring Operation: 74+68=142, Resulting Numbers: [99, 142] Generated Node #3: [99, 142] from Operation: 74+68=142 Current State: 43:[99, 142], Operations: ['10+89=99', '74+68=142'] Exploring Operation: 142-99=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 69, 35, 19, 42 ]
95
[ "69-35=34", "19+42=61", "34+61=95" ]
Current State: 95:[69, 35, 19, 42], Operations: [] Exploring Operation: 69-35=34, Resulting Numbers: [19, 42, 34] Generated Node #2: [19, 42, 34] from Operation: 69-35=34 Current State: 95:[19, 42, 34], Operations: ['69-35=34'] Exploring Operation: 19+42=61, Resulting Numbers: [34, 61] Generated Node #3: [34, 61] from Operation: 19+42=61 Current State: 95:[34, 61], Operations: ['69-35=34', '19+42=61'] Exploring Operation: 34+61=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 48, 53, 52, 50 ]
55
[ "48+52=100", "100/50=2", "53+2=55" ]
Current State: 55:[48, 53, 52, 50], Operations: [] Exploring Operation: 48+52=100, Resulting Numbers: [53, 50, 100] Generated Node #2: [53, 50, 100] from Operation: 48+52=100 Current State: 55:[53, 50, 100], Operations: ['48+52=100'] Exploring Operation: 100/50=2, Resulting Numbers: [53, 2] Generated Node #3: [53, 2] from Operation: 100/50=2 Current State: 55:[53, 2], Operations: ['48+52=100', '100/50=2'] Exploring Operation: 53+2=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 69, 26, 73, 5 ]
27
[ "69+26=95", "73-5=68", "95-68=27" ]
Current State: 27:[69, 26, 73, 5], Operations: [] Exploring Operation: 69+26=95, Resulting Numbers: [73, 5, 95] Generated Node #2: [73, 5, 95] from Operation: 69+26=95 Current State: 27:[73, 5, 95], Operations: ['69+26=95'] Exploring Operation: 73-5=68, Resulting Numbers: [95, 68] Generated Node #3: [95, 68] from Operation: 73-5=68 Current State: 27:[95, 68], Operations: ['69+26=95', '73-5=68'] Exploring Operation: 95-68=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 2, 23, 65, 45 ]
64
[ "2*23=46", "65+45=110", "110-46=64" ]
Current State: 64:[2, 23, 65, 45], Operations: [] Exploring Operation: 2*23=46, Resulting Numbers: [65, 45, 46] Generated Node #2: [65, 45, 46] from Operation: 2*23=46 Current State: 64:[65, 45, 46], Operations: ['2*23=46'] Exploring Operation: 65+45=110, Resulting Numbers: [46, 110] Generated Node #3: [46, 110] from Operation: 65+45=110 Current State: 64:[46, 110], Operations: ['2*23=46', '65+45=110'] Exploring Operation: 110-46=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 6, 59, 54, 42 ]
72
[ "59-54=5", "6*5=30", "42+30=72" ]
Current State: 72:[6, 59, 54, 42], Operations: [] Exploring Operation: 59-54=5, Resulting Numbers: [6, 42, 5] Generated Node #2: [6, 42, 5] from Operation: 59-54=5 Current State: 72:[6, 42, 5], Operations: ['59-54=5'] Exploring Operation: 6*5=30, Resulting Numbers: [42, 30] Generated Node #3: [42, 30] from Operation: 6*5=30 Current State: 72:[42, 30], Operations: ['59-54=5', '6*5=30'] Exploring Operation: 42+30=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 80, 41, 33, 72 ]
16
[ "80+41=121", "33+72=105", "121-105=16" ]
Current State: 16:[80, 41, 33, 72], Operations: [] Exploring Operation: 80+41=121, Resulting Numbers: [33, 72, 121] Generated Node #2: [33, 72, 121] from Operation: 80+41=121 Current State: 16:[33, 72, 121], Operations: ['80+41=121'] Exploring Operation: 33+72=105, Resulting Numbers: [121, 105] Generated Node #3: [121, 105] from Operation: 33+72=105 Current State: 16:[121, 105], Operations: ['80+41=121', '33+72=105'] Exploring Operation: 121-105=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 77, 76, 86, 75 ]
48
[ "77-75=2", "76/2=38", "86-38=48" ]
Current State: 48:[77, 76, 86, 75], Operations: [] Exploring Operation: 77-75=2, Resulting Numbers: [76, 86, 2] Generated Node #2: [76, 86, 2] from Operation: 77-75=2 Current State: 48:[76, 86, 2], Operations: ['77-75=2'] Exploring Operation: 76/2=38, Resulting Numbers: [86, 38] Generated Node #3: [86, 38] from Operation: 76/2=38 Current State: 48:[86, 38], Operations: ['77-75=2', '76/2=38'] Exploring Operation: 86-38=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 33, 20, 33, 18 ]
37
[ "33/33=1", "20+18=38", "38-1=37" ]
Current State: 37:[33, 20, 33, 18], Operations: [] Exploring Operation: 33/33=1, Resulting Numbers: [20, 18, 1] Generated Node #2: [20, 18, 1] from Operation: 33/33=1 Current State: 37:[20, 18, 1], Operations: ['33/33=1'] Exploring Operation: 20+18=38, Resulting Numbers: [1, 38] Generated Node #3: [1, 38] from Operation: 20+18=38 Current State: 37:[1, 38], Operations: ['33/33=1', '20+18=38'] Exploring Operation: 38-1=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 12, 18, 34, 54 ]
37
[ "54-18=36", "36/12=3", "34+3=37" ]
Current State: 37:[12, 18, 34, 54], Operations: [] Exploring Operation: 54-18=36, Resulting Numbers: [12, 34, 36] Generated Node #2: [12, 34, 36] from Operation: 54-18=36 Current State: 37:[12, 34, 36], Operations: ['54-18=36'] Exploring Operation: 36/12=3, Resulting Numbers: [34, 3] Generated Node #3: [34, 3] from Operation: 36/12=3 Current State: 37:[34, 3], Operations: ['54-18=36', '36/12=3'] Exploring Operation: 34+3=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 36, 18, 39, 31 ]
16
[ "36+18=54", "39+31=70", "70-54=16" ]
Current State: 16:[36, 18, 39, 31], Operations: [] Exploring Operation: 36+18=54, Resulting Numbers: [39, 31, 54] Generated Node #2: [39, 31, 54] from Operation: 36+18=54 Current State: 16:[39, 31, 54], Operations: ['36+18=54'] Exploring Operation: 39+31=70, Resulting Numbers: [54, 70] Generated Node #3: [54, 70] from Operation: 39+31=70 Current State: 16:[54, 70], Operations: ['36+18=54', '39+31=70'] Exploring Operation: 70-54=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 74, 79, 72, 51 ]
65
[ "74-72=2", "79+51=130", "130/2=65" ]
Current State: 65:[74, 79, 72, 51], Operations: [] Exploring Operation: 74-72=2, Resulting Numbers: [79, 51, 2] Generated Node #2: [79, 51, 2] from Operation: 74-72=2 Current State: 65:[79, 51, 2], Operations: ['74-72=2'] Exploring Operation: 79+51=130, Resulting Numbers: [2, 130] Generated Node #3: [2, 130] from Operation: 79+51=130 Current State: 65:[2, 130], Operations: ['74-72=2', '79+51=130'] Exploring Operation: 130/2=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 10, 27, 53, 86 ]
50
[ "27-10=17", "86-53=33", "17+33=50" ]
Current State: 50:[10, 27, 53, 86], Operations: [] Exploring Operation: 27-10=17, Resulting Numbers: [53, 86, 17] Generated Node #2: [53, 86, 17] from Operation: 27-10=17 Current State: 50:[53, 86, 17], Operations: ['27-10=17'] Exploring Operation: 86-53=33, Resulting Numbers: [17, 33] Generated Node #3: [17, 33] from Operation: 86-53=33 Current State: 50:[17, 33], Operations: ['27-10=17', '86-53=33'] Exploring Operation: 17+33=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 91, 5, 98, 44 ]
93
[ "5+44=49", "98/49=2", "91+2=93" ]
Current State: 93:[91, 5, 98, 44], Operations: [] Exploring Operation: 5+44=49, Resulting Numbers: [91, 98, 49] Generated Node #2: [91, 98, 49] from Operation: 5+44=49 Current State: 93:[91, 98, 49], Operations: ['5+44=49'] Exploring Operation: 98/49=2, Resulting Numbers: [91, 2] Generated Node #3: [91, 2] from Operation: 98/49=2 Current State: 93:[91, 2], Operations: ['5+44=49', '98/49=2'] Exploring Operation: 91+2=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 17, 88, 75, 97 ]
83
[ "17+88=105", "97-75=22", "105-22=83" ]
Current State: 83:[17, 88, 75, 97], Operations: [] Exploring Operation: 17+88=105, Resulting Numbers: [75, 97, 105] Generated Node #2: [75, 97, 105] from Operation: 17+88=105 Current State: 83:[75, 97, 105], Operations: ['17+88=105'] Exploring Operation: 97-75=22, Resulting Numbers: [105, 22] Generated Node #3: [105, 22] from Operation: 97-75=22 Current State: 83:[105, 22], Operations: ['17+88=105', '97-75=22'] Exploring Operation: 105-22=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 57, 22, 11, 69 ]
24
[ "69-57=12", "22/11=2", "12*2=24" ]
Current State: 24:[57, 22, 11, 69], Operations: [] Exploring Operation: 69-57=12, Resulting Numbers: [22, 11, 12] Generated Node #2: [22, 11, 12] from Operation: 69-57=12 Current State: 24:[22, 11, 12], Operations: ['69-57=12'] Exploring Operation: 22/11=2, Resulting Numbers: [12, 2] Generated Node #3: [12, 2] from Operation: 22/11=2 Current State: 24:[12, 2], Operations: ['69-57=12', '22/11=2'] Exploring Operation: 12*2=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 72, 75, 21, 24 ]
12
[ "72*21=1512", "1512/24=63", "75-63=12" ]
Current State: 12:[72, 75, 21, 24], Operations: [] Exploring Operation: 72*21=1512, Resulting Numbers: [75, 24, 1512] Generated Node #2: [75, 24, 1512] from Operation: 72*21=1512 Current State: 12:[75, 24, 1512], Operations: ['72*21=1512'] Exploring Operation: 1512/24=63, Resulting Numbers: [75, 63] Generated Node #3: [75, 63] from Operation: 1512/24=63 Current State: 12:[75, 63], Operations: ['72*21=1512', '1512/24=63'] Exploring Operation: 75-63=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 45, 1, 74, 91 ]
37
[ "45*74=3330", "91-1=90", "3330/90=37" ]
Current State: 37:[45, 1, 74, 91], Operations: [] Exploring Operation: 45*74=3330, Resulting Numbers: [1, 91, 3330] Generated Node #2: [1, 91, 3330] from Operation: 45*74=3330 Current State: 37:[1, 91, 3330], Operations: ['45*74=3330'] Exploring Operation: 91-1=90, Resulting Numbers: [3330, 90] Generated Node #3: [3330, 90] from Operation: 91-1=90 Current State: 37:[3330, 90], Operations: ['45*74=3330', '91-1=90'] Exploring Operation: 3330/90=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 71, 95, 7, 56 ]
25
[ "95-71=24", "56-7=49", "49-24=25" ]
Current State: 25:[71, 95, 7, 56], Operations: [] Exploring Operation: 95-71=24, Resulting Numbers: [7, 56, 24] Generated Node #2: [7, 56, 24] from Operation: 95-71=24 Current State: 25:[7, 56, 24], Operations: ['95-71=24'] Exploring Operation: 56-7=49, Resulting Numbers: [24, 49] Generated Node #3: [24, 49] from Operation: 56-7=49 Current State: 25:[24, 49], Operations: ['95-71=24', '56-7=49'] Exploring Operation: 49-24=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 36, 11, 39, 48 ]
63
[ "39*48=1872", "1872/36=52", "11+52=63" ]
Current State: 63:[36, 11, 39, 48], Operations: [] Exploring Operation: 39*48=1872, Resulting Numbers: [36, 11, 1872] Generated Node #2: [36, 11, 1872] from Operation: 39*48=1872 Current State: 63:[36, 11, 1872], Operations: ['39*48=1872'] Exploring Operation: 1872/36=52, Resulting Numbers: [11, 52] Generated Node #3: [11, 52] from Operation: 1872/36=52 Current State: 63:[11, 52], Operations: ['39*48=1872', '1872/36=52'] Exploring Operation: 11+52=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 15, 32, 80, 47 ]
81
[ "15+32=47", "47/47=1", "80+1=81" ]
Current State: 81:[15, 32, 80, 47], Operations: [] Exploring Operation: 15+32=47, Resulting Numbers: [80, 47, 47] Generated Node #2: [80, 47, 47] from Operation: 15+32=47 Current State: 81:[80, 47, 47], Operations: ['15+32=47'] Exploring Operation: 47/47=1, Resulting Numbers: [80, 1] Generated Node #3: [80, 1] from Operation: 47/47=1 Current State: 81:[80, 1], Operations: ['15+32=47', '47/47=1'] Exploring Operation: 80+1=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 77, 64, 52, 79 ]
90
[ "79-77=2", "52/2=26", "64+26=90" ]
Current State: 90:[77, 64, 52, 79], Operations: [] Exploring Operation: 79-77=2, Resulting Numbers: [64, 52, 2] Generated Node #2: [64, 52, 2] from Operation: 79-77=2 Current State: 90:[64, 52, 2], Operations: ['79-77=2'] Exploring Operation: 52/2=26, Resulting Numbers: [64, 26] Generated Node #3: [64, 26] from Operation: 52/2=26 Current State: 90:[64, 26], Operations: ['79-77=2', '52/2=26'] Exploring Operation: 64+26=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 35, 23, 9, 87 ]
22
[ "35*23=805", "9*87=783", "805-783=22" ]
Current State: 22:[35, 23, 9, 87], Operations: [] Exploring Operation: 35*23=805, Resulting Numbers: [9, 87, 805] Generated Node #2: [9, 87, 805] from Operation: 35*23=805 Current State: 22:[9, 87, 805], Operations: ['35*23=805'] Exploring Operation: 9*87=783, Resulting Numbers: [805, 783] Generated Node #3: [805, 783] from Operation: 9*87=783 Current State: 22:[805, 783], Operations: ['35*23=805', '9*87=783'] Exploring Operation: 805-783=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 89, 28, 5, 26 ]
13
[ "89+28=117", "5*26=130", "130-117=13" ]
Current State: 13:[89, 28, 5, 26], Operations: [] Exploring Operation: 89+28=117, Resulting Numbers: [5, 26, 117] Generated Node #2: [5, 26, 117] from Operation: 89+28=117 Current State: 13:[5, 26, 117], Operations: ['89+28=117'] Exploring Operation: 5*26=130, Resulting Numbers: [117, 130] Generated Node #3: [117, 130] from Operation: 5*26=130 Current State: 13:[117, 130], Operations: ['89+28=117', '5*26=130'] Exploring Operation: 130-117=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 4, 41, 39, 11 ]
30
[ "4+11=15", "41-39=2", "15*2=30" ]
Current State: 30:[4, 41, 39, 11], Operations: [] Exploring Operation: 4+11=15, Resulting Numbers: [41, 39, 15] Generated Node #2: [41, 39, 15] from Operation: 4+11=15 Current State: 30:[41, 39, 15], Operations: ['4+11=15'] Exploring Operation: 41-39=2, Resulting Numbers: [15, 2] Generated Node #3: [15, 2] from Operation: 41-39=2 Current State: 30:[15, 2], Operations: ['4+11=15', '41-39=2'] Exploring Operation: 15*2=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 34, 31, 13, 26 ]
73
[ "34-26=8", "13*8=104", "104-31=73" ]
Current State: 73:[34, 31, 13, 26], Operations: [] Exploring Operation: 34-26=8, Resulting Numbers: [31, 13, 8] Generated Node #2: [31, 13, 8] from Operation: 34-26=8 Current State: 73:[31, 13, 8], Operations: ['34-26=8'] Exploring Operation: 13*8=104, Resulting Numbers: [31, 104] Generated Node #3: [31, 104] from Operation: 13*8=104 Current State: 73:[31, 104], Operations: ['34-26=8', '13*8=104'] Exploring Operation: 104-31=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 42, 49, 7, 8 ]
57
[ "49-42=7", "7*7=49", "8+49=57" ]
Current State: 57:[42, 49, 7, 8], Operations: [] Exploring Operation: 49-42=7, Resulting Numbers: [7, 8, 7] Generated Node #2: [7, 8, 7] from Operation: 49-42=7 Current State: 57:[7, 8, 7], Operations: ['49-42=7'] Exploring Operation: 7*7=49, Resulting Numbers: [8, 49] Generated Node #3: [8, 49] from Operation: 7*7=49 Current State: 57:[8, 49], Operations: ['49-42=7', '7*7=49'] Exploring Operation: 8+49=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 6, 3, 18, 84 ]
29
[ "18/6=3", "3+84=87", "87/3=29" ]
Current State: 29:[6, 3, 18, 84], Operations: [] Exploring Operation: 18/6=3, Resulting Numbers: [3, 84, 3] Generated Node #2: [3, 84, 3] from Operation: 18/6=3 Current State: 29:[3, 84, 3], Operations: ['18/6=3'] Exploring Operation: 3+84=87, Resulting Numbers: [87] 87,29 equal: Goal Reached Exploring Operation: 87/3=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 10, 21, 77, 10 ]
98
[ "10+21=31", "77-10=67", "31+67=98" ]
Current State: 98:[10, 21, 77, 10], Operations: [] Exploring Operation: 10+21=31, Resulting Numbers: [77, 31] Generated Node #2: [77, 31] from Operation: 10+21=31 Current State: 98:[77, 31], Operations: ['10+21=31'] Exploring Operation: 77-10=67, Resulting Numbers: [31, 67] Generated Node #3: [31, 67] from Operation: 77-10=67 Current State: 98:[31, 67], Operations: ['10+21=31', '77-10=67'] Exploring Operation: 31+67=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 13, 59, 61, 69 ]
28
[ "69-13=56", "61-59=2", "56/2=28" ]
Current State: 28:[13, 59, 61, 69], Operations: [] Exploring Operation: 69-13=56, Resulting Numbers: [59, 61, 56] Generated Node #2: [59, 61, 56] from Operation: 69-13=56 Current State: 28:[59, 61, 56], Operations: ['69-13=56'] Exploring Operation: 61-59=2, Resulting Numbers: [56, 2] Generated Node #3: [56, 2] from Operation: 61-59=2 Current State: 28:[56, 2], Operations: ['69-13=56', '61-59=2'] Exploring Operation: 56/2=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 21, 95, 12, 24 ]
37
[ "95-21=74", "24/12=2", "74/2=37" ]
Current State: 37:[21, 95, 12, 24], Operations: [] Exploring Operation: 95-21=74, Resulting Numbers: [12, 24, 74] Generated Node #2: [12, 24, 74] from Operation: 95-21=74 Current State: 37:[12, 24, 74], Operations: ['95-21=74'] Exploring Operation: 24/12=2, Resulting Numbers: [74, 2] Generated Node #3: [74, 2] from Operation: 24/12=2 Current State: 37:[74, 2], Operations: ['95-21=74', '24/12=2'] Exploring Operation: 74/2=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 82, 4, 33, 11 ]
81
[ "82-4=78", "33/11=3", "78+3=81" ]
Current State: 81:[82, 4, 33, 11], Operations: [] Exploring Operation: 82-4=78, Resulting Numbers: [33, 11, 78] Generated Node #2: [33, 11, 78] from Operation: 82-4=78 Current State: 81:[33, 11, 78], Operations: ['82-4=78'] Exploring Operation: 33/11=3, Resulting Numbers: [78, 3] Generated Node #3: [78, 3] from Operation: 33/11=3 Current State: 81:[78, 3], Operations: ['82-4=78', '33/11=3'] Exploring Operation: 78+3=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 7, 38, 11, 44 ]
59
[ "44-38=6", "11*6=66", "66-7=59" ]
Current State: 59:[7, 38, 11, 44], Operations: [] Exploring Operation: 44-38=6, Resulting Numbers: [7, 11, 6] Generated Node #2: [7, 11, 6] from Operation: 44-38=6 Current State: 59:[7, 11, 6], Operations: ['44-38=6'] Exploring Operation: 11*6=66, Resulting Numbers: [7, 66] Generated Node #3: [7, 66] from Operation: 11*6=66 Current State: 59:[7, 66], Operations: ['44-38=6', '11*6=66'] Exploring Operation: 66-7=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 41, 97, 25, 79 ]
11
[ "41-25=16", "97+79=176", "176/16=11" ]
Current State: 11:[41, 97, 25, 79], Operations: [] Exploring Operation: 41-25=16, Resulting Numbers: [97, 79, 16] Generated Node #2: [97, 79, 16] from Operation: 41-25=16 Current State: 11:[97, 79, 16], Operations: ['41-25=16'] Exploring Operation: 97+79=176, Resulting Numbers: [16, 176] Generated Node #3: [16, 176] from Operation: 97+79=176 Current State: 11:[16, 176], Operations: ['41-25=16', '97+79=176'] Exploring Operation: 176/16=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 66, 59, 83, 50 ]
61
[ "83-50=33", "66/33=2", "59+2=61" ]
Current State: 61:[66, 59, 83, 50], Operations: [] Exploring Operation: 83-50=33, Resulting Numbers: [66, 59, 33] Generated Node #2: [66, 59, 33] from Operation: 83-50=33 Current State: 61:[66, 59, 33], Operations: ['83-50=33'] Exploring Operation: 66/33=2, Resulting Numbers: [59, 2] Generated Node #3: [59, 2] from Operation: 66/33=2 Current State: 61:[59, 2], Operations: ['83-50=33', '66/33=2'] Exploring Operation: 59+2=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 94, 6, 89, 6 ]
94
[ "6-6=0", "89*0=0", "94+0=94" ]
Current State: 94:[94, 6, 89, 6], Operations: [] Exploring Operation: 6-6=0, Resulting Numbers: [94, 89, 0] Generated Node #2: [94, 89, 0] from Operation: 6-6=0 Current State: 94:[94, 89, 0], Operations: ['6-6=0'] Exploring Operation: 89*0=0, Resulting Numbers: [94, 0] Generated Node #3: [94, 0] from Operation: 89*0=0 Current State: 94:[94, 0], Operations: ['6-6=0', '89*0=0'] Exploring Operation: 94+0=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 83, 4, 76, 93 ]
65
[ "83-76=7", "4*7=28", "93-28=65" ]
Current State: 65:[83, 4, 76, 93], Operations: [] Exploring Operation: 83-76=7, Resulting Numbers: [4, 93, 7] Generated Node #2: [4, 93, 7] from Operation: 83-76=7 Current State: 65:[4, 93, 7], Operations: ['83-76=7'] Exploring Operation: 4*7=28, Resulting Numbers: [93, 28] Generated Node #3: [93, 28] from Operation: 4*7=28 Current State: 65:[93, 28], Operations: ['83-76=7', '4*7=28'] Exploring Operation: 93-28=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 54, 23, 76, 52 ]
55
[ "54-23=31", "76-52=24", "31+24=55" ]
Current State: 55:[54, 23, 76, 52], Operations: [] Exploring Operation: 54-23=31, Resulting Numbers: [76, 52, 31] Generated Node #2: [76, 52, 31] from Operation: 54-23=31 Current State: 55:[76, 52, 31], Operations: ['54-23=31'] Exploring Operation: 76-52=24, Resulting Numbers: [31, 24] Generated Node #3: [31, 24] from Operation: 76-52=24 Current State: 55:[31, 24], Operations: ['54-23=31', '76-52=24'] Exploring Operation: 31+24=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 97, 86, 2, 71 ]
30
[ "97-86=11", "71-11=60", "60/2=30" ]
Current State: 30:[97, 86, 2, 71], Operations: [] Exploring Operation: 97-86=11, Resulting Numbers: [2, 71, 11] Generated Node #2: [2, 71, 11] from Operation: 97-86=11 Current State: 30:[2, 71, 11], Operations: ['97-86=11'] Exploring Operation: 71-11=60, Resulting Numbers: [2, 60] Generated Node #3: [2, 60] from Operation: 71-11=60 Current State: 30:[2, 60], Operations: ['97-86=11', '71-11=60'] Exploring Operation: 60/2=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 39, 70, 2, 18 ]
93
[ "39+70=109", "18-2=16", "109-16=93" ]
Current State: 93:[39, 70, 2, 18], Operations: [] Exploring Operation: 39+70=109, Resulting Numbers: [2, 18, 109] Generated Node #2: [2, 18, 109] from Operation: 39+70=109 Current State: 93:[2, 18, 109], Operations: ['39+70=109'] Exploring Operation: 18-2=16, Resulting Numbers: [109, 16] Generated Node #3: [109, 16] from Operation: 18-2=16 Current State: 93:[109, 16], Operations: ['39+70=109', '18-2=16'] Exploring Operation: 109-16=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 77, 67, 18, 41 ]
69
[ "77-67=10", "18+41=59", "10+59=69" ]
Current State: 69:[77, 67, 18, 41], Operations: [] Exploring Operation: 77-67=10, Resulting Numbers: [18, 41, 10] Generated Node #2: [18, 41, 10] from Operation: 77-67=10 Current State: 69:[18, 41, 10], Operations: ['77-67=10'] Exploring Operation: 18+41=59, Resulting Numbers: [10, 59] Generated Node #3: [10, 59] from Operation: 18+41=59 Current State: 69:[10, 59], Operations: ['77-67=10', '18+41=59'] Exploring Operation: 10+59=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 8, 23, 48, 69 ]
37
[ "48-8=40", "69/23=3", "40-3=37" ]
Current State: 37:[8, 23, 48, 69], Operations: [] Exploring Operation: 48-8=40, Resulting Numbers: [23, 69, 40] Generated Node #2: [23, 69, 40] from Operation: 48-8=40 Current State: 37:[23, 69, 40], Operations: ['48-8=40'] Exploring Operation: 69/23=3, Resulting Numbers: [40, 3] Generated Node #3: [40, 3] from Operation: 69/23=3 Current State: 37:[40, 3], Operations: ['48-8=40', '69/23=3'] Exploring Operation: 40-3=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 82, 12, 10, 51 ]
62
[ "82-51=31", "12-10=2", "31*2=62" ]
Current State: 62:[82, 12, 10, 51], Operations: [] Exploring Operation: 82-51=31, Resulting Numbers: [12, 10, 31] Generated Node #2: [12, 10, 31] from Operation: 82-51=31 Current State: 62:[12, 10, 31], Operations: ['82-51=31'] Exploring Operation: 12-10=2, Resulting Numbers: [31, 2] Generated Node #3: [31, 2] from Operation: 12-10=2 Current State: 62:[31, 2], Operations: ['82-51=31', '12-10=2'] Exploring Operation: 31*2=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 15, 88, 89, 28 ]
44
[ "88-15=73", "89+28=117", "117-73=44" ]
Current State: 44:[15, 88, 89, 28], Operations: [] Exploring Operation: 88-15=73, Resulting Numbers: [89, 28, 73] Generated Node #2: [89, 28, 73] from Operation: 88-15=73 Current State: 44:[89, 28, 73], Operations: ['88-15=73'] Exploring Operation: 89+28=117, Resulting Numbers: [73, 117] Generated Node #3: [73, 117] from Operation: 89+28=117 Current State: 44:[73, 117], Operations: ['88-15=73', '89+28=117'] Exploring Operation: 117-73=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 25, 80, 35, 71 ]
91
[ "80-25=55", "71-35=36", "55+36=91" ]
Current State: 91:[25, 80, 35, 71], Operations: [] Exploring Operation: 80-25=55, Resulting Numbers: [35, 71, 55] Generated Node #2: [35, 71, 55] from Operation: 80-25=55 Current State: 91:[35, 71, 55], Operations: ['80-25=55'] Exploring Operation: 71-35=36, Resulting Numbers: [55, 36] Generated Node #3: [55, 36] from Operation: 71-35=36 Current State: 91:[55, 36], Operations: ['80-25=55', '71-35=36'] Exploring Operation: 55+36=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 96, 49, 25, 71 ]
20
[ "96*25=2400", "49+71=120", "2400/120=20" ]
Current State: 20:[96, 49, 25, 71], Operations: [] Exploring Operation: 96*25=2400, Resulting Numbers: [49, 71, 2400] Generated Node #2: [49, 71, 2400] from Operation: 96*25=2400 Current State: 20:[49, 71, 2400], Operations: ['96*25=2400'] Exploring Operation: 49+71=120, Resulting Numbers: [2400, 120] Generated Node #3: [2400, 120] from Operation: 49+71=120 Current State: 20:[2400, 120], Operations: ['96*25=2400', '49+71=120'] Exploring Operation: 2400/120=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 56, 39, 33, 54 ]
42
[ "56*54=3024", "39+33=72", "3024/72=42" ]
Current State: 42:[56, 39, 33, 54], Operations: [] Exploring Operation: 56*54=3024, Resulting Numbers: [39, 33, 3024] Generated Node #2: [39, 33, 3024] from Operation: 56*54=3024 Current State: 42:[39, 33, 3024], Operations: ['56*54=3024'] Exploring Operation: 39+33=72, Resulting Numbers: [3024, 72] Generated Node #3: [3024, 72] from Operation: 39+33=72 Current State: 42:[3024, 72], Operations: ['56*54=3024', '39+33=72'] Exploring Operation: 3024/72=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 25, 2, 44, 24 ]
27
[ "25+24=49", "44/2=22", "49-22=27" ]
Current State: 27:[25, 2, 44, 24], Operations: [] Exploring Operation: 25+24=49, Resulting Numbers: [2, 44, 49] Generated Node #2: [2, 44, 49] from Operation: 25+24=49 Current State: 27:[2, 44, 49], Operations: ['25+24=49'] Exploring Operation: 44/2=22, Resulting Numbers: [49, 22] Generated Node #3: [49, 22] from Operation: 44/2=22 Current State: 27:[49, 22], Operations: ['25+24=49', '44/2=22'] Exploring Operation: 49-22=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 17, 17, 11, 5 ]
85
[ "11-5=6", "17*6=102", "102-17=85" ]
Current State: 85:[17, 17, 11, 5], Operations: [] Exploring Operation: 11-5=6, Resulting Numbers: [17, 17, 6] Generated Node #2: [17, 17, 6] from Operation: 11-5=6 Current State: 85:[17, 17, 6], Operations: ['11-5=6'] Exploring Operation: 17*6=102, Resulting Numbers: [102] 102,85 equal: Goal Reached Exploring Operation: 102-17=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 72, 94, 18, 70 ]
21
[ "94-70=24", "72/24=3", "18+3=21" ]
Current State: 21:[72, 94, 18, 70], Operations: [] Exploring Operation: 94-70=24, Resulting Numbers: [72, 18, 24] Generated Node #2: [72, 18, 24] from Operation: 94-70=24 Current State: 21:[72, 18, 24], Operations: ['94-70=24'] Exploring Operation: 72/24=3, Resulting Numbers: [18, 3] Generated Node #3: [18, 3] from Operation: 72/24=3 Current State: 21:[18, 3], Operations: ['94-70=24', '72/24=3'] Exploring Operation: 18+3=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 20, 96, 28, 35 ]
80
[ "20*28=560", "560/35=16", "96-16=80" ]
Current State: 80:[20, 96, 28, 35], Operations: [] Exploring Operation: 20*28=560, Resulting Numbers: [96, 35, 560] Generated Node #2: [96, 35, 560] from Operation: 20*28=560 Current State: 80:[96, 35, 560], Operations: ['20*28=560'] Exploring Operation: 560/35=16, Resulting Numbers: [96, 16] Generated Node #3: [96, 16] from Operation: 560/35=16 Current State: 80:[96, 16], Operations: ['20*28=560', '560/35=16'] Exploring Operation: 96-16=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 17, 34, 61, 68 ]
95
[ "34/17=2", "68/2=34", "61+34=95" ]
Current State: 95:[17, 34, 61, 68], Operations: [] Exploring Operation: 34/17=2, Resulting Numbers: [61, 68, 2] Generated Node #2: [61, 68, 2] from Operation: 34/17=2 Current State: 95:[61, 68, 2], Operations: ['34/17=2'] Exploring Operation: 68/2=34, Resulting Numbers: [61, 34] Generated Node #3: [61, 34] from Operation: 68/2=34 Current State: 95:[61, 34], Operations: ['34/17=2', '68/2=34'] Exploring Operation: 61+34=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 43, 74, 66, 76 ]
21
[ "74-43=31", "76-66=10", "31-10=21" ]
Current State: 21:[43, 74, 66, 76], Operations: [] Exploring Operation: 74-43=31, Resulting Numbers: [66, 76, 31] Generated Node #2: [66, 76, 31] from Operation: 74-43=31 Current State: 21:[66, 76, 31], Operations: ['74-43=31'] Exploring Operation: 76-66=10, Resulting Numbers: [31, 10] Generated Node #3: [31, 10] from Operation: 76-66=10 Current State: 21:[31, 10], Operations: ['74-43=31', '76-66=10'] Exploring Operation: 31-10=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 2, 8, 9, 97 ]
96
[ "2+8=10", "9+97=106", "106-10=96" ]
Current State: 96:[2, 8, 9, 97], Operations: [] Exploring Operation: 2+8=10, Resulting Numbers: [9, 97, 10] Generated Node #2: [9, 97, 10] from Operation: 2+8=10 Current State: 96:[9, 97, 10], Operations: ['2+8=10'] Exploring Operation: 9+97=106, Resulting Numbers: [10, 106] Generated Node #3: [10, 106] from Operation: 9+97=106 Current State: 96:[10, 106], Operations: ['2+8=10', '9+97=106'] Exploring Operation: 106-10=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 80, 94, 22, 95 ]
59
[ "94-80=14", "95-22=73", "73-14=59" ]
Current State: 59:[80, 94, 22, 95], Operations: [] Exploring Operation: 94-80=14, Resulting Numbers: [22, 95, 14] Generated Node #2: [22, 95, 14] from Operation: 94-80=14 Current State: 59:[22, 95, 14], Operations: ['94-80=14'] Exploring Operation: 95-22=73, Resulting Numbers: [14, 73] Generated Node #3: [14, 73] from Operation: 95-22=73 Current State: 59:[14, 73], Operations: ['94-80=14', '95-22=73'] Exploring Operation: 73-14=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 57, 63, 43, 80 ]
43
[ "63-57=6", "80-43=37", "6+37=43" ]
Current State: 43:[57, 63, 43, 80], Operations: [] Exploring Operation: 63-57=6, Resulting Numbers: [43, 80, 6] Generated Node #2: [43, 80, 6] from Operation: 63-57=6 Current State: 43:[43, 80, 6], Operations: ['63-57=6'] Exploring Operation: 80-43=37, Resulting Numbers: [6, 37] Generated Node #3: [6, 37] from Operation: 80-43=37 Current State: 43:[6, 37], Operations: ['63-57=6', '80-43=37'] Exploring Operation: 6+37=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 31, 93, 19, 8 ]
89
[ "93-31=62", "19+8=27", "62+27=89" ]
Current State: 89:[31, 93, 19, 8], Operations: [] Exploring Operation: 93-31=62, Resulting Numbers: [19, 8, 62] Generated Node #2: [19, 8, 62] from Operation: 93-31=62 Current State: 89:[19, 8, 62], Operations: ['93-31=62'] Exploring Operation: 19+8=27, Resulting Numbers: [62, 27] Generated Node #3: [62, 27] from Operation: 19+8=27 Current State: 89:[62, 27], Operations: ['93-31=62', '19+8=27'] Exploring Operation: 62+27=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 35, 31, 1, 66 ]
63
[ "35-31=4", "1+66=67", "67-4=63" ]
Current State: 63:[35, 31, 1, 66], Operations: [] Exploring Operation: 35-31=4, Resulting Numbers: [1, 66, 4] Generated Node #2: [1, 66, 4] from Operation: 35-31=4 Current State: 63:[1, 66, 4], Operations: ['35-31=4'] Exploring Operation: 1+66=67, Resulting Numbers: [4, 67] Generated Node #3: [4, 67] from Operation: 1+66=67 Current State: 63:[4, 67], Operations: ['35-31=4', '1+66=67'] Exploring Operation: 67-4=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 56, 86, 43, 70 ]
42
[ "56*86=4816", "4816/43=112", "112-70=42" ]
Current State: 42:[56, 86, 43, 70], Operations: [] Exploring Operation: 56*86=4816, Resulting Numbers: [43, 70, 4816] Generated Node #2: [43, 70, 4816] from Operation: 56*86=4816 Current State: 42:[43, 70, 4816], Operations: ['56*86=4816'] Exploring Operation: 4816/43=112, Resulting Numbers: [70, 112] Generated Node #3: [70, 112] from Operation: 4816/43=112 Current State: 42:[70, 112], Operations: ['56*86=4816', '4816/43=112'] Exploring Operation: 112-70=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 87, 13, 25, 53 ]
81
[ "25+53=78", "78/13=6", "87-6=81" ]
Current State: 81:[87, 13, 25, 53], Operations: [] Exploring Operation: 25+53=78, Resulting Numbers: [87, 13, 78] Generated Node #2: [87, 13, 78] from Operation: 25+53=78 Current State: 81:[87, 13, 78], Operations: ['25+53=78'] Exploring Operation: 78/13=6, Resulting Numbers: [87, 6] Generated Node #3: [87, 6] from Operation: 78/13=6 Current State: 81:[87, 6], Operations: ['25+53=78', '78/13=6'] Exploring Operation: 87-6=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 67, 44, 52, 90 ]
61
[ "67-44=23", "90-52=38", "23+38=61" ]
Current State: 61:[67, 44, 52, 90], Operations: [] Exploring Operation: 67-44=23, Resulting Numbers: [52, 90, 23] Generated Node #2: [52, 90, 23] from Operation: 67-44=23 Current State: 61:[52, 90, 23], Operations: ['67-44=23'] Exploring Operation: 90-52=38, Resulting Numbers: [23, 38] Generated Node #3: [23, 38] from Operation: 90-52=38 Current State: 61:[23, 38], Operations: ['67-44=23', '90-52=38'] Exploring Operation: 23+38=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 94, 42, 12, 18 ]
82
[ "94-42=52", "12+18=30", "52+30=82" ]
Current State: 82:[94, 42, 12, 18], Operations: [] Exploring Operation: 94-42=52, Resulting Numbers: [12, 18, 52] Generated Node #2: [12, 18, 52] from Operation: 94-42=52 Current State: 82:[12, 18, 52], Operations: ['94-42=52'] Exploring Operation: 12+18=30, Resulting Numbers: [52, 30] Generated Node #3: [52, 30] from Operation: 12+18=30 Current State: 82:[52, 30], Operations: ['94-42=52', '12+18=30'] Exploring Operation: 52+30=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 32, 84, 92, 96 ]
72
[ "32+84=116", "92+96=188", "188-116=72" ]
Current State: 72:[32, 84, 92, 96], Operations: [] Exploring Operation: 32+84=116, Resulting Numbers: [92, 96, 116] Generated Node #2: [92, 96, 116] from Operation: 32+84=116 Current State: 72:[92, 96, 116], Operations: ['32+84=116'] Exploring Operation: 92+96=188, Resulting Numbers: [116, 188] Generated Node #3: [116, 188] from Operation: 92+96=188 Current State: 72:[116, 188], Operations: ['32+84=116', '92+96=188'] Exploring Operation: 188-116=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 37, 45, 37, 73 ]
44
[ "45-37=8", "73-37=36", "8+36=44" ]
Current State: 44:[37, 45, 37, 73], Operations: [] Exploring Operation: 45-37=8, Resulting Numbers: [73, 8] Generated Node #2: [73, 8] from Operation: 45-37=8 Current State: 44:[73, 8], Operations: ['45-37=8'] Exploring Operation: 73-37=36, Resulting Numbers: [8, 36] Generated Node #3: [8, 36] from Operation: 73-37=36 Current State: 44:[8, 36], Operations: ['45-37=8', '73-37=36'] Exploring Operation: 8+36=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 55, 5, 85, 54 ]
48
[ "85-55=30", "30/5=6", "54-6=48" ]
Current State: 48:[55, 5, 85, 54], Operations: [] Exploring Operation: 85-55=30, Resulting Numbers: [5, 54, 30] Generated Node #2: [5, 54, 30] from Operation: 85-55=30 Current State: 48:[5, 54, 30], Operations: ['85-55=30'] Exploring Operation: 30/5=6, Resulting Numbers: [54, 6] Generated Node #3: [54, 6] from Operation: 30/5=6 Current State: 48:[54, 6], Operations: ['85-55=30', '30/5=6'] Exploring Operation: 54-6=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 33, 85, 7, 77 ]
88
[ "33*7=231", "231/77=3", "85+3=88" ]
Current State: 88:[33, 85, 7, 77], Operations: [] Exploring Operation: 33*7=231, Resulting Numbers: [85, 77, 231] Generated Node #2: [85, 77, 231] from Operation: 33*7=231 Current State: 88:[85, 77, 231], Operations: ['33*7=231'] Exploring Operation: 231/77=3, Resulting Numbers: [85, 3] Generated Node #3: [85, 3] from Operation: 231/77=3 Current State: 88:[85, 3], Operations: ['33*7=231', '231/77=3'] Exploring Operation: 85+3=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 93, 66, 44, 62 ]
82
[ "66-62=4", "44/4=11", "93-11=82" ]
Current State: 82:[93, 66, 44, 62], Operations: [] Exploring Operation: 66-62=4, Resulting Numbers: [93, 44, 4] Generated Node #2: [93, 44, 4] from Operation: 66-62=4 Current State: 82:[93, 44, 4], Operations: ['66-62=4'] Exploring Operation: 44/4=11, Resulting Numbers: [93, 11] Generated Node #3: [93, 11] from Operation: 44/4=11 Current State: 82:[93, 11], Operations: ['66-62=4', '44/4=11'] Exploring Operation: 93-11=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 40, 92, 59, 17 ]
24
[ "92-40=52", "59+17=76", "76-52=24" ]
Current State: 24:[40, 92, 59, 17], Operations: [] Exploring Operation: 92-40=52, Resulting Numbers: [59, 17, 52] Generated Node #2: [59, 17, 52] from Operation: 92-40=52 Current State: 24:[59, 17, 52], Operations: ['92-40=52'] Exploring Operation: 59+17=76, Resulting Numbers: [52, 76] Generated Node #3: [52, 76] from Operation: 59+17=76 Current State: 24:[52, 76], Operations: ['92-40=52', '59+17=76'] Exploring Operation: 76-52=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 19, 35, 5, 41 ]
20
[ "35-19=16", "41-5=36", "36-16=20" ]
Current State: 20:[19, 35, 5, 41], Operations: [] Exploring Operation: 35-19=16, Resulting Numbers: [5, 41, 16] Generated Node #2: [5, 41, 16] from Operation: 35-19=16 Current State: 20:[5, 41, 16], Operations: ['35-19=16'] Exploring Operation: 41-5=36, Resulting Numbers: [16, 36] Generated Node #3: [16, 36] from Operation: 41-5=36 Current State: 20:[16, 36], Operations: ['35-19=16', '41-5=36'] Exploring Operation: 36-16=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 89, 80, 11, 4 ]
45
[ "89+80=169", "11+169=180", "180/4=45" ]
Current State: 45:[89, 80, 11, 4], Operations: [] Exploring Operation: 89+80=169, Resulting Numbers: [11, 4, 169] Generated Node #2: [11, 4, 169] from Operation: 89+80=169 Current State: 45:[11, 4, 169], Operations: ['89+80=169'] Exploring Operation: 11+169=180, Resulting Numbers: [4, 180] Generated Node #3: [4, 180] from Operation: 11+169=180 Current State: 45:[4, 180], Operations: ['89+80=169', '11+169=180'] Exploring Operation: 180/4=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 20, 32, 55, 85 ]
10
[ "32+55=87", "87-85=2", "20/2=10" ]
Current State: 10:[20, 32, 55, 85], Operations: [] Exploring Operation: 32+55=87, Resulting Numbers: [20, 85, 87] Generated Node #2: [20, 85, 87] from Operation: 32+55=87 Current State: 10:[20, 85, 87], Operations: ['32+55=87'] Exploring Operation: 87-85=2, Resulting Numbers: [20, 2] Generated Node #3: [20, 2] from Operation: 87-85=2 Current State: 10:[20, 2], Operations: ['32+55=87', '87-85=2'] Exploring Operation: 20/2=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 40, 87, 41, 6 ]
82
[ "87-40=47", "41-6=35", "47+35=82" ]
Current State: 82:[40, 87, 41, 6], Operations: [] Exploring Operation: 87-40=47, Resulting Numbers: [41, 6, 47] Generated Node #2: [41, 6, 47] from Operation: 87-40=47 Current State: 82:[41, 6, 47], Operations: ['87-40=47'] Exploring Operation: 41-6=35, Resulting Numbers: [47, 35] Generated Node #3: [47, 35] from Operation: 41-6=35 Current State: 82:[47, 35], Operations: ['87-40=47', '41-6=35'] Exploring Operation: 47+35=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 68, 97, 51, 49 ]
58
[ "97-68=29", "51-49=2", "29*2=58" ]
Current State: 58:[68, 97, 51, 49], Operations: [] Exploring Operation: 97-68=29, Resulting Numbers: [51, 49, 29] Generated Node #2: [51, 49, 29] from Operation: 97-68=29 Current State: 58:[51, 49, 29], Operations: ['97-68=29'] Exploring Operation: 51-49=2, Resulting Numbers: [29, 2] Generated Node #3: [29, 2] from Operation: 51-49=2 Current State: 58:[29, 2], Operations: ['97-68=29', '51-49=2'] Exploring Operation: 29*2=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 90, 12, 9, 2 ]
28
[ "12-9=3", "90/3=30", "30-2=28" ]
Current State: 28:[90, 12, 9, 2], Operations: [] Exploring Operation: 12-9=3, Resulting Numbers: [90, 2, 3] Generated Node #2: [90, 2, 3] from Operation: 12-9=3 Current State: 28:[90, 2, 3], Operations: ['12-9=3'] Exploring Operation: 90/3=30, Resulting Numbers: [2, 30] Generated Node #3: [2, 30] from Operation: 90/3=30 Current State: 28:[2, 30], Operations: ['12-9=3', '90/3=30'] Exploring Operation: 30-2=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 15, 33, 36, 68 ]
51
[ "15+33=48", "36*68=2448", "2448/48=51" ]
Current State: 51:[15, 33, 36, 68], Operations: [] Exploring Operation: 15+33=48, Resulting Numbers: [36, 68, 48] Generated Node #2: [36, 68, 48] from Operation: 15+33=48 Current State: 51:[36, 68, 48], Operations: ['15+33=48'] Exploring Operation: 36*68=2448, Resulting Numbers: [48, 2448] Generated Node #3: [48, 2448] from Operation: 36*68=2448 Current State: 51:[48, 2448], Operations: ['15+33=48', '36*68=2448'] Exploring Operation: 2448/48=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 85, 19, 74, 2 ]
22
[ "85+19=104", "104/2=52", "74-52=22" ]
Current State: 22:[85, 19, 74, 2], Operations: [] Exploring Operation: 85+19=104, Resulting Numbers: [74, 2, 104] Generated Node #2: [74, 2, 104] from Operation: 85+19=104 Current State: 22:[74, 2, 104], Operations: ['85+19=104'] Exploring Operation: 104/2=52, Resulting Numbers: [74, 52] Generated Node #3: [74, 52] from Operation: 104/2=52 Current State: 22:[74, 52], Operations: ['85+19=104', '104/2=52'] Exploring Operation: 74-52=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 26, 26, 3, 4 ]
75
[ "26+3=29", "26*4=104", "104-29=75" ]
Current State: 75:[26, 26, 3, 4], Operations: [] Exploring Operation: 26+3=29, Resulting Numbers: [4, 29] Generated Node #2: [4, 29] from Operation: 26+3=29 Current State: 75:[4, 29], Operations: ['26+3=29'] Exploring Operation: 26*4=104, Resulting Numbers: [29, 104] Generated Node #3: [29, 104] from Operation: 26*4=104 Current State: 75:[29, 104], Operations: ['26+3=29', '26*4=104'] Exploring Operation: 104-29=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 31, 50, 25, 32 ]
76
[ "50-31=19", "25+32=57", "19+57=76" ]
Current State: 76:[31, 50, 25, 32], Operations: [] Exploring Operation: 50-31=19, Resulting Numbers: [25, 32, 19] Generated Node #2: [25, 32, 19] from Operation: 50-31=19 Current State: 76:[25, 32, 19], Operations: ['50-31=19'] Exploring Operation: 25+32=57, Resulting Numbers: [19, 57] Generated Node #3: [19, 57] from Operation: 25+32=57 Current State: 76:[19, 57], Operations: ['50-31=19', '25+32=57'] Exploring Operation: 19+57=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 8, 76, 83, 15 ]
35
[ "8*76=608", "608-83=525", "525/15=35" ]
Current State: 35:[8, 76, 83, 15], Operations: [] Exploring Operation: 8*76=608, Resulting Numbers: [83, 15, 608] Generated Node #2: [83, 15, 608] from Operation: 8*76=608 Current State: 35:[83, 15, 608], Operations: ['8*76=608'] Exploring Operation: 608-83=525, Resulting Numbers: [15, 525] Generated Node #3: [15, 525] from Operation: 608-83=525 Current State: 35:[15, 525], Operations: ['8*76=608', '608-83=525'] Exploring Operation: 525/15=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 28, 32, 3, 16 ]
53
[ "28*32=896", "896/16=56", "56-3=53" ]
Current State: 53:[28, 32, 3, 16], Operations: [] Exploring Operation: 28*32=896, Resulting Numbers: [3, 16, 896] Generated Node #2: [3, 16, 896] from Operation: 28*32=896 Current State: 53:[3, 16, 896], Operations: ['28*32=896'] Exploring Operation: 896/16=56, Resulting Numbers: [3, 56] Generated Node #3: [3, 56] from Operation: 896/16=56 Current State: 53:[3, 56], Operations: ['28*32=896', '896/16=56'] Exploring Operation: 56-3=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 77, 47, 82, 95 ]
66
[ "82-77=5", "95/5=19", "47+19=66" ]
Current State: 66:[77, 47, 82, 95], Operations: [] Exploring Operation: 82-77=5, Resulting Numbers: [47, 95, 5] Generated Node #2: [47, 95, 5] from Operation: 82-77=5 Current State: 66:[47, 95, 5], Operations: ['82-77=5'] Exploring Operation: 95/5=19, Resulting Numbers: [47, 19] Generated Node #3: [47, 19] from Operation: 95/5=19 Current State: 66:[47, 19], Operations: ['82-77=5', '95/5=19'] Exploring Operation: 47+19=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 61, 54, 61, 91 ]
38
[ "61/61=1", "91-54=37", "1+37=38" ]
Current State: 38:[61, 54, 61, 91], Operations: [] Exploring Operation: 61/61=1, Resulting Numbers: [54, 91, 1] Generated Node #2: [54, 91, 1] from Operation: 61/61=1 Current State: 38:[54, 91, 1], Operations: ['61/61=1'] Exploring Operation: 91-54=37, Resulting Numbers: [1, 37] Generated Node #3: [1, 37] from Operation: 91-54=37 Current State: 38:[1, 37], Operations: ['61/61=1', '91-54=37'] Exploring Operation: 1+37=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 19, 71, 65, 61 ]
94
[ "19+71=90", "65-61=4", "90+4=94" ]
Current State: 94:[19, 71, 65, 61], Operations: [] Exploring Operation: 19+71=90, Resulting Numbers: [65, 61, 90] Generated Node #2: [65, 61, 90] from Operation: 19+71=90 Current State: 94:[65, 61, 90], Operations: ['19+71=90'] Exploring Operation: 65-61=4, Resulting Numbers: [90, 4] Generated Node #3: [90, 4] from Operation: 65-61=4 Current State: 94:[90, 4], Operations: ['19+71=90', '65-61=4'] Exploring Operation: 90+4=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4