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
[ 14, 72, 98, 36 ]
35
[ "72/36=2", "98/2=49", "49-14=35" ]
Current State: 35:[14, 72, 98, 36], Operations: [] Exploring Operation: 72/36=2, Resulting Numbers: [14, 98, 2] Generated Node #2: [14, 98, 2] from Operation: 72/36=2 Current State: 35:[14, 98, 2], Operations: ['72/36=2'] Exploring Operation: 98/2=49, Resulting Numbers: [14, 49] Generated Node #3: [14, 49] from Operation: 98/2=49 Current State: 35:[14, 49], Operations: ['72/36=2', '98/2=49'] Exploring Operation: 49-14=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 92, 96, 22, 46 ]
88
[ "46-22=24", "96/24=4", "92-4=88" ]
Current State: 88:[92, 96, 22, 46], Operations: [] Exploring Operation: 46-22=24, Resulting Numbers: [92, 96, 24] Generated Node #2: [92, 96, 24] from Operation: 46-22=24 Current State: 88:[92, 96, 24], Operations: ['46-22=24'] Exploring Operation: 96/24=4, Resulting Numbers: [92, 4] Generated Node #3: [92, 4] from Operation: 96/24=4 Current State: 88:[92, 4], Operations: ['46-22=24', '96/24=4'] Exploring Operation: 92-4=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 71, 11, 19, 56 ]
97
[ "71-11=60", "56-19=37", "60+37=97" ]
Current State: 97:[71, 11, 19, 56], Operations: [] Exploring Operation: 71-11=60, Resulting Numbers: [19, 56, 60] Generated Node #2: [19, 56, 60] from Operation: 71-11=60 Current State: 97:[19, 56, 60], Operations: ['71-11=60'] Exploring Operation: 56-19=37, Resulting Numbers: [60, 37] Generated Node #3: [60, 37] from Operation: 56-19=37 Current State: 97:[60, 37], Operations: ['71-11=60', '56-19=37'] Exploring Operation: 60+37=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 9, 25, 72, 60 ]
98
[ "9+25=34", "72+60=132", "132-34=98" ]
Current State: 98:[9, 25, 72, 60], Operations: [] Exploring Operation: 9+25=34, Resulting Numbers: [72, 60, 34] Generated Node #2: [72, 60, 34] from Operation: 9+25=34 Current State: 98:[72, 60, 34], Operations: ['9+25=34'] Exploring Operation: 72+60=132, Resulting Numbers: [34, 132] Generated Node #3: [34, 132] from Operation: 72+60=132 Current State: 98:[34, 132], Operations: ['9+25=34', '72+60=132'] Exploring Operation: 132-34=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 40, 39, 37, 18 ]
44
[ "40-18=22", "39-37=2", "22*2=44" ]
Current State: 44:[40, 39, 37, 18], Operations: [] Exploring Operation: 40-18=22, Resulting Numbers: [39, 37, 22] Generated Node #2: [39, 37, 22] from Operation: 40-18=22 Current State: 44:[39, 37, 22], Operations: ['40-18=22'] Exploring Operation: 39-37=2, Resulting Numbers: [22, 2] Generated Node #3: [22, 2] from Operation: 39-37=2 Current State: 44:[22, 2], Operations: ['40-18=22', '39-37=2'] Exploring Operation: 22*2=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 38, 72, 83, 91 ]
81
[ "91-72=19", "38/19=2", "83-2=81" ]
Current State: 81:[38, 72, 83, 91], Operations: [] Exploring Operation: 91-72=19, Resulting Numbers: [38, 83, 19] Generated Node #2: [38, 83, 19] from Operation: 91-72=19 Current State: 81:[38, 83, 19], Operations: ['91-72=19'] Exploring Operation: 38/19=2, Resulting Numbers: [83, 2] Generated Node #3: [83, 2] from Operation: 38/19=2 Current State: 81:[83, 2], Operations: ['91-72=19', '38/19=2'] Exploring Operation: 83-2=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 62, 16, 77, 8 ]
13
[ "77-62=15", "16/8=2", "15-2=13" ]
Current State: 13:[62, 16, 77, 8], Operations: [] Exploring Operation: 77-62=15, Resulting Numbers: [16, 8, 15] Generated Node #2: [16, 8, 15] from Operation: 77-62=15 Current State: 13:[16, 8, 15], Operations: ['77-62=15'] Exploring Operation: 16/8=2, Resulting Numbers: [15, 2] Generated Node #3: [15, 2] from Operation: 16/8=2 Current State: 13:[15, 2], Operations: ['77-62=15', '16/8=2'] Exploring Operation: 15-2=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 48, 75, 51, 66 ]
41
[ "51-48=3", "75/3=25", "66-25=41" ]
Current State: 41:[48, 75, 51, 66], Operations: [] Exploring Operation: 51-48=3, Resulting Numbers: [75, 66, 3] Generated Node #2: [75, 66, 3] from Operation: 51-48=3 Current State: 41:[75, 66, 3], Operations: ['51-48=3'] Exploring Operation: 75/3=25, Resulting Numbers: [66, 25] Generated Node #3: [66, 25] from Operation: 75/3=25 Current State: 41:[66, 25], Operations: ['51-48=3', '75/3=25'] Exploring Operation: 66-25=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 95, 11, 7, 82 ]
100
[ "95+82=177", "11*7=77", "177-77=100" ]
Current State: 100:[95, 11, 7, 82], Operations: [] Exploring Operation: 95+82=177, Resulting Numbers: [11, 7, 177] Generated Node #2: [11, 7, 177] from Operation: 95+82=177 Current State: 100:[11, 7, 177], Operations: ['95+82=177'] Exploring Operation: 11*7=77, Resulting Numbers: [177, 77] Generated Node #3: [177, 77] from Operation: 11*7=77 Current State: 100:[177, 77], Operations: ['95+82=177', '11*7=77'] Exploring Operation: 177-77=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 41, 31, 4, 15 ]
12
[ "41+31=72", "4*15=60", "72-60=12" ]
Current State: 12:[41, 31, 4, 15], Operations: [] Exploring Operation: 41+31=72, Resulting Numbers: [4, 15, 72] Generated Node #2: [4, 15, 72] from Operation: 41+31=72 Current State: 12:[4, 15, 72], Operations: ['41+31=72'] Exploring Operation: 4*15=60, Resulting Numbers: [72, 60] Generated Node #3: [72, 60] from Operation: 4*15=60 Current State: 12:[72, 60], Operations: ['41+31=72', '4*15=60'] Exploring Operation: 72-60=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 41, 8, 43, 46 ]
83
[ "46-41=5", "8*5=40", "43+40=83" ]
Current State: 83:[41, 8, 43, 46], Operations: [] Exploring Operation: 46-41=5, Resulting Numbers: [8, 43, 5] Generated Node #2: [8, 43, 5] from Operation: 46-41=5 Current State: 83:[8, 43, 5], Operations: ['46-41=5'] Exploring Operation: 8*5=40, Resulting Numbers: [43, 40] Generated Node #3: [43, 40] from Operation: 8*5=40 Current State: 83:[43, 40], Operations: ['46-41=5', '8*5=40'] Exploring Operation: 43+40=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 33, 54, 18, 84 ]
95
[ "33*18=594", "594/54=11", "84+11=95" ]
Current State: 95:[33, 54, 18, 84], Operations: [] Exploring Operation: 33*18=594, Resulting Numbers: [54, 84, 594] Generated Node #2: [54, 84, 594] from Operation: 33*18=594 Current State: 95:[54, 84, 594], Operations: ['33*18=594'] Exploring Operation: 594/54=11, Resulting Numbers: [84, 11] Generated Node #3: [84, 11] from Operation: 594/54=11 Current State: 95:[84, 11], Operations: ['33*18=594', '594/54=11'] Exploring Operation: 84+11=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 11, 52, 90, 26 ]
53
[ "11+52=63", "90+26=116", "116-63=53" ]
Current State: 53:[11, 52, 90, 26], Operations: [] Exploring Operation: 11+52=63, Resulting Numbers: [90, 26, 63] Generated Node #2: [90, 26, 63] from Operation: 11+52=63 Current State: 53:[90, 26, 63], Operations: ['11+52=63'] Exploring Operation: 90+26=116, Resulting Numbers: [63, 116] Generated Node #3: [63, 116] from Operation: 90+26=116 Current State: 53:[63, 116], Operations: ['11+52=63', '90+26=116'] Exploring Operation: 116-63=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 21, 50, 15, 55 ]
18
[ "55-50=5", "15/5=3", "21-3=18" ]
Current State: 18:[21, 50, 15, 55], Operations: [] Exploring Operation: 55-50=5, Resulting Numbers: [21, 15, 5] Generated Node #2: [21, 15, 5] from Operation: 55-50=5 Current State: 18:[21, 15, 5], Operations: ['55-50=5'] Exploring Operation: 15/5=3, Resulting Numbers: [21, 3] Generated Node #3: [21, 3] from Operation: 15/5=3 Current State: 18:[21, 3], Operations: ['55-50=5', '15/5=3'] Exploring Operation: 21-3=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 3, 42, 74, 72 ]
90
[ "3+42=45", "74-72=2", "45*2=90" ]
Current State: 90:[3, 42, 74, 72], Operations: [] Exploring Operation: 3+42=45, Resulting Numbers: [74, 72, 45] Generated Node #2: [74, 72, 45] from Operation: 3+42=45 Current State: 90:[74, 72, 45], Operations: ['3+42=45'] Exploring Operation: 74-72=2, Resulting Numbers: [45, 2] Generated Node #3: [45, 2] from Operation: 74-72=2 Current State: 90:[45, 2], Operations: ['3+42=45', '74-72=2'] Exploring Operation: 45*2=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 73, 38, 7, 35 ]
40
[ "73-38=35", "35/7=5", "35+5=40" ]
Current State: 40:[73, 38, 7, 35], Operations: [] Exploring Operation: 73-38=35, Resulting Numbers: [7, 35, 35] Generated Node #2: [7, 35, 35] from Operation: 73-38=35 Current State: 40:[7, 35, 35], Operations: ['73-38=35'] Exploring Operation: 35/7=5, Resulting Numbers: [5] 5,40 equal: Goal Reached Exploring Operation: 35+5=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 60, 2, 30, 40 ]
52
[ "60+2=62", "40-30=10", "62-10=52" ]
Current State: 52:[60, 2, 30, 40], Operations: [] Exploring Operation: 60+2=62, Resulting Numbers: [30, 40, 62] Generated Node #2: [30, 40, 62] from Operation: 60+2=62 Current State: 52:[30, 40, 62], Operations: ['60+2=62'] Exploring Operation: 40-30=10, Resulting Numbers: [62, 10] Generated Node #3: [62, 10] from Operation: 40-30=10 Current State: 52:[62, 10], Operations: ['60+2=62', '40-30=10'] Exploring Operation: 62-10=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 13, 18, 61, 84 ]
65
[ "18+61=79", "84-79=5", "13*5=65" ]
Current State: 65:[13, 18, 61, 84], Operations: [] Exploring Operation: 18+61=79, Resulting Numbers: [13, 84, 79] Generated Node #2: [13, 84, 79] from Operation: 18+61=79 Current State: 65:[13, 84, 79], Operations: ['18+61=79'] Exploring Operation: 84-79=5, Resulting Numbers: [13, 5] Generated Node #3: [13, 5] from Operation: 84-79=5 Current State: 65:[13, 5], Operations: ['18+61=79', '84-79=5'] Exploring Operation: 13*5=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 11, 2, 62, 46 ]
89
[ "46-11=35", "2*62=124", "124-35=89" ]
Current State: 89:[11, 2, 62, 46], Operations: [] Exploring Operation: 46-11=35, Resulting Numbers: [2, 62, 35] Generated Node #2: [2, 62, 35] from Operation: 46-11=35 Current State: 89:[2, 62, 35], Operations: ['46-11=35'] Exploring Operation: 2*62=124, Resulting Numbers: [35, 124] Generated Node #3: [35, 124] from Operation: 2*62=124 Current State: 89:[35, 124], Operations: ['46-11=35', '2*62=124'] Exploring Operation: 124-35=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 66, 90, 52, 26 ]
12
[ "90-66=24", "52/26=2", "24/2=12" ]
Current State: 12:[66, 90, 52, 26], Operations: [] Exploring Operation: 90-66=24, Resulting Numbers: [52, 26, 24] Generated Node #2: [52, 26, 24] from Operation: 90-66=24 Current State: 12:[52, 26, 24], Operations: ['90-66=24'] Exploring Operation: 52/26=2, Resulting Numbers: [24, 2] Generated Node #3: [24, 2] from Operation: 52/26=2 Current State: 12:[24, 2], Operations: ['90-66=24', '52/26=2'] Exploring Operation: 24/2=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 15, 39, 64, 17 ]
14
[ "17-15=2", "39*2=78", "78-64=14" ]
Current State: 14:[15, 39, 64, 17], Operations: [] Exploring Operation: 17-15=2, Resulting Numbers: [39, 64, 2] Generated Node #2: [39, 64, 2] from Operation: 17-15=2 Current State: 14:[39, 64, 2], Operations: ['17-15=2'] Exploring Operation: 39*2=78, Resulting Numbers: [64, 78] Generated Node #3: [64, 78] from Operation: 39*2=78 Current State: 14:[64, 78], Operations: ['17-15=2', '39*2=78'] Exploring Operation: 78-64=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 94, 87, 91, 79 ]
92
[ "94-87=7", "91/7=13", "79+13=92" ]
Current State: 92:[94, 87, 91, 79], Operations: [] Exploring Operation: 94-87=7, Resulting Numbers: [91, 79, 7] Generated Node #2: [91, 79, 7] from Operation: 94-87=7 Current State: 92:[91, 79, 7], Operations: ['94-87=7'] Exploring Operation: 91/7=13, Resulting Numbers: [79, 13] Generated Node #3: [79, 13] from Operation: 91/7=13 Current State: 92:[79, 13], Operations: ['94-87=7', '91/7=13'] Exploring Operation: 79+13=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 33, 16, 26, 29 ]
51
[ "33-16=17", "29-26=3", "17*3=51" ]
Current State: 51:[33, 16, 26, 29], Operations: [] Exploring Operation: 33-16=17, Resulting Numbers: [26, 29, 17] Generated Node #2: [26, 29, 17] from Operation: 33-16=17 Current State: 51:[26, 29, 17], Operations: ['33-16=17'] Exploring Operation: 29-26=3, Resulting Numbers: [17, 3] Generated Node #3: [17, 3] from Operation: 29-26=3 Current State: 51:[17, 3], Operations: ['33-16=17', '29-26=3'] Exploring Operation: 17*3=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 86, 22, 24, 88 ]
45
[ "24-22=2", "86/2=43", "88-43=45" ]
Current State: 45:[86, 22, 24, 88], Operations: [] Exploring Operation: 24-22=2, Resulting Numbers: [86, 88, 2] Generated Node #2: [86, 88, 2] from Operation: 24-22=2 Current State: 45:[86, 88, 2], Operations: ['24-22=2'] Exploring Operation: 86/2=43, Resulting Numbers: [88, 43] Generated Node #3: [88, 43] from Operation: 86/2=43 Current State: 45:[88, 43], Operations: ['24-22=2', '86/2=43'] Exploring Operation: 88-43=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 53, 1, 73, 2 ]
60
[ "73-53=20", "1+2=3", "20*3=60" ]
Current State: 60:[53, 1, 73, 2], Operations: [] Exploring Operation: 73-53=20, Resulting Numbers: [1, 2, 20] Generated Node #2: [1, 2, 20] from Operation: 73-53=20 Current State: 60:[1, 2, 20], Operations: ['73-53=20'] Exploring Operation: 1+2=3, Resulting Numbers: [20, 3] Generated Node #3: [20, 3] from Operation: 1+2=3 Current State: 60:[20, 3], Operations: ['73-53=20', '1+2=3'] Exploring Operation: 20*3=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 43, 24, 86, 5 ]
65
[ "24+86=110", "110/5=22", "43+22=65" ]
Current State: 65:[43, 24, 86, 5], Operations: [] Exploring Operation: 24+86=110, Resulting Numbers: [43, 5, 110] Generated Node #2: [43, 5, 110] from Operation: 24+86=110 Current State: 65:[43, 5, 110], Operations: ['24+86=110'] Exploring Operation: 110/5=22, Resulting Numbers: [43, 22] Generated Node #3: [43, 22] from Operation: 110/5=22 Current State: 65:[43, 22], Operations: ['24+86=110', '110/5=22'] Exploring Operation: 43+22=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 42, 34, 74, 46 ]
10
[ "46-42=4", "74-34=40", "40/4=10" ]
Current State: 10:[42, 34, 74, 46], Operations: [] Exploring Operation: 46-42=4, Resulting Numbers: [34, 74, 4] Generated Node #2: [34, 74, 4] from Operation: 46-42=4 Current State: 10:[34, 74, 4], Operations: ['46-42=4'] Exploring Operation: 74-34=40, Resulting Numbers: [4, 40] Generated Node #3: [4, 40] from Operation: 74-34=40 Current State: 10:[4, 40], Operations: ['46-42=4', '74-34=40'] Exploring Operation: 40/4=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 52, 36, 51, 68 ]
71
[ "52+36=88", "68-51=17", "88-17=71" ]
Current State: 71:[52, 36, 51, 68], Operations: [] Exploring Operation: 52+36=88, Resulting Numbers: [51, 68, 88] Generated Node #2: [51, 68, 88] from Operation: 52+36=88 Current State: 71:[51, 68, 88], Operations: ['52+36=88'] Exploring Operation: 68-51=17, Resulting Numbers: [88, 17] Generated Node #3: [88, 17] from Operation: 68-51=17 Current State: 71:[88, 17], Operations: ['52+36=88', '68-51=17'] Exploring Operation: 88-17=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 40, 36, 45, 37 ]
63
[ "40-37=3", "36*3=108", "108-45=63" ]
Current State: 63:[40, 36, 45, 37], Operations: [] Exploring Operation: 40-37=3, Resulting Numbers: [36, 45, 3] Generated Node #2: [36, 45, 3] from Operation: 40-37=3 Current State: 63:[36, 45, 3], Operations: ['40-37=3'] Exploring Operation: 36*3=108, Resulting Numbers: [45, 108] Generated Node #3: [45, 108] from Operation: 36*3=108 Current State: 63:[45, 108], Operations: ['40-37=3', '36*3=108'] Exploring Operation: 108-45=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 59, 41, 52, 81 ]
11
[ "59-41=18", "81-52=29", "29-18=11" ]
Current State: 11:[59, 41, 52, 81], Operations: [] Exploring Operation: 59-41=18, Resulting Numbers: [52, 81, 18] Generated Node #2: [52, 81, 18] from Operation: 59-41=18 Current State: 11:[52, 81, 18], Operations: ['59-41=18'] Exploring Operation: 81-52=29, Resulting Numbers: [18, 29] Generated Node #3: [18, 29] from Operation: 81-52=29 Current State: 11:[18, 29], Operations: ['59-41=18', '81-52=29'] Exploring Operation: 29-18=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 5, 4, 1, 5 ]
20
[ "5*5=25", "4+1=5", "25-5=20" ]
Current State: 20:[5, 4, 1, 5], Operations: [] Exploring Operation: 5*5=25, Resulting Numbers: [4, 1, 25] Generated Node #2: [4, 1, 25] from Operation: 5*5=25 Current State: 20:[4, 1, 25], Operations: ['5*5=25'] Exploring Operation: 4+1=5, Resulting Numbers: [25, 5] Generated Node #3: [25, 5] from Operation: 4+1=5 Current State: 20:[25, 5], Operations: ['5*5=25', '4+1=5'] Exploring Operation: 25-5=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 12, 16, 77, 6 ]
80
[ "12*6=72", "77-72=5", "16*5=80" ]
Current State: 80:[12, 16, 77, 6], Operations: [] Exploring Operation: 12*6=72, Resulting Numbers: [16, 77, 72] Generated Node #2: [16, 77, 72] from Operation: 12*6=72 Current State: 80:[16, 77, 72], Operations: ['12*6=72'] Exploring Operation: 77-72=5, Resulting Numbers: [16, 5] Generated Node #3: [16, 5] from Operation: 77-72=5 Current State: 80:[16, 5], Operations: ['12*6=72', '77-72=5'] Exploring Operation: 16*5=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 84, 7, 9, 47 ]
68
[ "84/7=12", "9+47=56", "12+56=68" ]
Current State: 68:[84, 7, 9, 47], Operations: [] Exploring Operation: 84/7=12, Resulting Numbers: [9, 47, 12] Generated Node #2: [9, 47, 12] from Operation: 84/7=12 Current State: 68:[9, 47, 12], Operations: ['84/7=12'] Exploring Operation: 9+47=56, Resulting Numbers: [12, 56] Generated Node #3: [12, 56] from Operation: 9+47=56 Current State: 68:[12, 56], Operations: ['84/7=12', '9+47=56'] Exploring Operation: 12+56=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 85, 39, 14, 41 ]
69
[ "85+39=124", "14+41=55", "124-55=69" ]
Current State: 69:[85, 39, 14, 41], Operations: [] Exploring Operation: 85+39=124, Resulting Numbers: [14, 41, 124] Generated Node #2: [14, 41, 124] from Operation: 85+39=124 Current State: 69:[14, 41, 124], Operations: ['85+39=124'] Exploring Operation: 14+41=55, Resulting Numbers: [124, 55] Generated Node #3: [124, 55] from Operation: 14+41=55 Current State: 69:[124, 55], Operations: ['85+39=124', '14+41=55'] Exploring Operation: 124-55=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 51, 2, 41, 88 ]
48
[ "51+41=92", "88/2=44", "92-44=48" ]
Current State: 48:[51, 2, 41, 88], Operations: [] Exploring Operation: 51+41=92, Resulting Numbers: [2, 88, 92] Generated Node #2: [2, 88, 92] from Operation: 51+41=92 Current State: 48:[2, 88, 92], Operations: ['51+41=92'] Exploring Operation: 88/2=44, Resulting Numbers: [92, 44] Generated Node #3: [92, 44] from Operation: 88/2=44 Current State: 48:[92, 44], Operations: ['51+41=92', '88/2=44'] Exploring Operation: 92-44=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 31, 24, 26, 1 ]
80
[ "31+24=55", "26-1=25", "55+25=80" ]
Current State: 80:[31, 24, 26, 1], Operations: [] Exploring Operation: 31+24=55, Resulting Numbers: [26, 1, 55] Generated Node #2: [26, 1, 55] from Operation: 31+24=55 Current State: 80:[26, 1, 55], Operations: ['31+24=55'] Exploring Operation: 26-1=25, Resulting Numbers: [55, 25] Generated Node #3: [55, 25] from Operation: 26-1=25 Current State: 80:[55, 25], Operations: ['31+24=55', '26-1=25'] Exploring Operation: 55+25=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 46, 92, 9, 49 ]
12
[ "92-46=46", "9+49=58", "58-46=12" ]
Current State: 12:[46, 92, 9, 49], Operations: [] Exploring Operation: 92-46=46, Resulting Numbers: [9, 49, 46] Generated Node #2: [9, 49, 46] from Operation: 92-46=46 Current State: 12:[9, 49, 46], Operations: ['92-46=46'] Exploring Operation: 9+49=58, Resulting Numbers: [46, 58] Generated Node #3: [46, 58] from Operation: 9+49=58 Current State: 12:[46, 58], Operations: ['92-46=46', '9+49=58'] Exploring Operation: 58-46=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 83, 67, 2, 38 ]
11
[ "83-67=16", "38-16=22", "22/2=11" ]
Current State: 11:[83, 67, 2, 38], Operations: [] Exploring Operation: 83-67=16, Resulting Numbers: [2, 38, 16] Generated Node #2: [2, 38, 16] from Operation: 83-67=16 Current State: 11:[2, 38, 16], Operations: ['83-67=16'] Exploring Operation: 38-16=22, Resulting Numbers: [2, 22] Generated Node #3: [2, 22] from Operation: 38-16=22 Current State: 11:[2, 22], Operations: ['83-67=16', '38-16=22'] Exploring Operation: 22/2=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 40, 32, 56, 64 ]
14
[ "56-40=16", "64/32=2", "16-2=14" ]
Current State: 14:[40, 32, 56, 64], Operations: [] Exploring Operation: 56-40=16, Resulting Numbers: [32, 64, 16] Generated Node #2: [32, 64, 16] from Operation: 56-40=16 Current State: 14:[32, 64, 16], Operations: ['56-40=16'] Exploring Operation: 64/32=2, Resulting Numbers: [16, 2] Generated Node #3: [16, 2] from Operation: 64/32=2 Current State: 14:[16, 2], Operations: ['56-40=16', '64/32=2'] Exploring Operation: 16-2=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 80, 74, 18, 94 ]
78
[ "80+74=154", "94-18=76", "154-76=78" ]
Current State: 78:[80, 74, 18, 94], Operations: [] Exploring Operation: 80+74=154, Resulting Numbers: [18, 94, 154] Generated Node #2: [18, 94, 154] from Operation: 80+74=154 Current State: 78:[18, 94, 154], Operations: ['80+74=154'] Exploring Operation: 94-18=76, Resulting Numbers: [154, 76] Generated Node #3: [154, 76] from Operation: 94-18=76 Current State: 78:[154, 76], Operations: ['80+74=154', '94-18=76'] Exploring Operation: 154-76=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 8, 58, 72, 60 ]
68
[ "60-58=2", "8/2=4", "72-4=68" ]
Current State: 68:[8, 58, 72, 60], Operations: [] Exploring Operation: 60-58=2, Resulting Numbers: [8, 72, 2] Generated Node #2: [8, 72, 2] from Operation: 60-58=2 Current State: 68:[8, 72, 2], Operations: ['60-58=2'] Exploring Operation: 8/2=4, Resulting Numbers: [72, 4] Generated Node #3: [72, 4] from Operation: 8/2=4 Current State: 68:[72, 4], Operations: ['60-58=2', '8/2=4'] Exploring Operation: 72-4=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 91, 2, 74, 40 ]
21
[ "91+2=93", "74+40=114", "114-93=21" ]
Current State: 21:[91, 2, 74, 40], Operations: [] Exploring Operation: 91+2=93, Resulting Numbers: [74, 40, 93] Generated Node #2: [74, 40, 93] from Operation: 91+2=93 Current State: 21:[74, 40, 93], Operations: ['91+2=93'] Exploring Operation: 74+40=114, Resulting Numbers: [93, 114] Generated Node #3: [93, 114] from Operation: 74+40=114 Current State: 21:[93, 114], Operations: ['91+2=93', '74+40=114'] Exploring Operation: 114-93=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 87, 66, 35, 91 ]
77
[ "87-66=21", "91-35=56", "21+56=77" ]
Current State: 77:[87, 66, 35, 91], Operations: [] Exploring Operation: 87-66=21, Resulting Numbers: [35, 91, 21] Generated Node #2: [35, 91, 21] from Operation: 87-66=21 Current State: 77:[35, 91, 21], Operations: ['87-66=21'] Exploring Operation: 91-35=56, Resulting Numbers: [21, 56] Generated Node #3: [21, 56] from Operation: 91-35=56 Current State: 77:[21, 56], Operations: ['87-66=21', '91-35=56'] Exploring Operation: 21+56=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 24, 53, 52, 95 ]
91
[ "95-53=42", "52*42=2184", "2184/24=91" ]
Current State: 91:[24, 53, 52, 95], Operations: [] Exploring Operation: 95-53=42, Resulting Numbers: [24, 52, 42] Generated Node #2: [24, 52, 42] from Operation: 95-53=42 Current State: 91:[24, 52, 42], Operations: ['95-53=42'] Exploring Operation: 52*42=2184, Resulting Numbers: [24, 2184] Generated Node #3: [24, 2184] from Operation: 52*42=2184 Current State: 91:[24, 2184], Operations: ['95-53=42', '52*42=2184'] Exploring Operation: 2184/24=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 86, 65, 21, 46 ]
43
[ "65-21=44", "46-44=2", "86/2=43" ]
Current State: 43:[86, 65, 21, 46], Operations: [] Exploring Operation: 65-21=44, Resulting Numbers: [86, 46, 44] Generated Node #2: [86, 46, 44] from Operation: 65-21=44 Current State: 43:[86, 46, 44], Operations: ['65-21=44'] Exploring Operation: 46-44=2, Resulting Numbers: [86, 2] Generated Node #3: [86, 2] from Operation: 46-44=2 Current State: 43:[86, 2], Operations: ['65-21=44', '46-44=2'] Exploring Operation: 86/2=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 65, 2, 57, 51 ]
100
[ "65-51=14", "2*57=114", "114-14=100" ]
Current State: 100:[65, 2, 57, 51], Operations: [] Exploring Operation: 65-51=14, Resulting Numbers: [2, 57, 14] Generated Node #2: [2, 57, 14] from Operation: 65-51=14 Current State: 100:[2, 57, 14], Operations: ['65-51=14'] Exploring Operation: 2*57=114, Resulting Numbers: [14, 114] Generated Node #3: [14, 114] from Operation: 2*57=114 Current State: 100:[14, 114], Operations: ['65-51=14', '2*57=114'] Exploring Operation: 114-14=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 26, 92, 94, 36 ]
87
[ "94+36=130", "130/26=5", "92-5=87" ]
Current State: 87:[26, 92, 94, 36], Operations: [] Exploring Operation: 94+36=130, Resulting Numbers: [26, 92, 130] Generated Node #2: [26, 92, 130] from Operation: 94+36=130 Current State: 87:[26, 92, 130], Operations: ['94+36=130'] Exploring Operation: 130/26=5, Resulting Numbers: [92, 5] Generated Node #3: [92, 5] from Operation: 130/26=5 Current State: 87:[92, 5], Operations: ['94+36=130', '130/26=5'] Exploring Operation: 92-5=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 16, 20, 7, 25 ]
27
[ "16*25=400", "400/20=20", "7+20=27" ]
Current State: 27:[16, 20, 7, 25], Operations: [] Exploring Operation: 16*25=400, Resulting Numbers: [20, 7, 400] Generated Node #2: [20, 7, 400] from Operation: 16*25=400 Current State: 27:[20, 7, 400], Operations: ['16*25=400'] Exploring Operation: 400/20=20, Resulting Numbers: [7, 20] Generated Node #3: [7, 20] from Operation: 400/20=20 Current State: 27:[7, 20], Operations: ['16*25=400', '400/20=20'] Exploring Operation: 7+20=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 44, 87, 2, 35 ]
83
[ "44+87=131", "35+131=166", "166/2=83" ]
Current State: 83:[44, 87, 2, 35], Operations: [] Exploring Operation: 44+87=131, Resulting Numbers: [2, 35, 131] Generated Node #2: [2, 35, 131] from Operation: 44+87=131 Current State: 83:[2, 35, 131], Operations: ['44+87=131'] Exploring Operation: 35+131=166, Resulting Numbers: [2, 166] Generated Node #3: [2, 166] from Operation: 35+131=166 Current State: 83:[2, 166], Operations: ['44+87=131', '35+131=166'] Exploring Operation: 166/2=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 53, 75, 3, 90 ]
24
[ "75-53=22", "3*22=66", "90-66=24" ]
Current State: 24:[53, 75, 3, 90], Operations: [] Exploring Operation: 75-53=22, Resulting Numbers: [3, 90, 22] Generated Node #2: [3, 90, 22] from Operation: 75-53=22 Current State: 24:[3, 90, 22], Operations: ['75-53=22'] Exploring Operation: 3*22=66, Resulting Numbers: [90, 66] Generated Node #3: [90, 66] from Operation: 3*22=66 Current State: 24:[90, 66], Operations: ['75-53=22', '3*22=66'] Exploring Operation: 90-66=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 11, 26, 33, 18 ]
88
[ "11+26=37", "33+18=51", "37+51=88" ]
Current State: 88:[11, 26, 33, 18], Operations: [] Exploring Operation: 11+26=37, Resulting Numbers: [33, 18, 37] Generated Node #2: [33, 18, 37] from Operation: 11+26=37 Current State: 88:[33, 18, 37], Operations: ['11+26=37'] Exploring Operation: 33+18=51, Resulting Numbers: [37, 51] Generated Node #3: [37, 51] from Operation: 33+18=51 Current State: 88:[37, 51], Operations: ['11+26=37', '33+18=51'] Exploring Operation: 37+51=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 61, 47, 80, 30 ]
58
[ "61+47=108", "80-30=50", "108-50=58" ]
Current State: 58:[61, 47, 80, 30], Operations: [] Exploring Operation: 61+47=108, Resulting Numbers: [80, 30, 108] Generated Node #2: [80, 30, 108] from Operation: 61+47=108 Current State: 58:[80, 30, 108], Operations: ['61+47=108'] Exploring Operation: 80-30=50, Resulting Numbers: [108, 50] Generated Node #3: [108, 50] from Operation: 80-30=50 Current State: 58:[108, 50], Operations: ['61+47=108', '80-30=50'] Exploring Operation: 108-50=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 80, 62, 8, 26 ]
26
[ "80/8=10", "62-26=36", "36-10=26" ]
Current State: 26:[80, 62, 8, 26], Operations: [] Exploring Operation: 80/8=10, Resulting Numbers: [62, 26, 10] Generated Node #2: [62, 26, 10] from Operation: 80/8=10 Current State: 26:[62, 26, 10], Operations: ['80/8=10'] Exploring Operation: 62-26=36, Resulting Numbers: [10, 36] Generated Node #3: [10, 36] from Operation: 62-26=36 Current State: 26:[10, 36], Operations: ['80/8=10', '62-26=36'] Exploring Operation: 36-10=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 62, 7, 81, 3 ]
64
[ "81-62=19", "3*19=57", "7+57=64" ]
Current State: 64:[62, 7, 81, 3], Operations: [] Exploring Operation: 81-62=19, Resulting Numbers: [7, 3, 19] Generated Node #2: [7, 3, 19] from Operation: 81-62=19 Current State: 64:[7, 3, 19], Operations: ['81-62=19'] Exploring Operation: 3*19=57, Resulting Numbers: [7, 57] Generated Node #3: [7, 57] from Operation: 3*19=57 Current State: 64:[7, 57], Operations: ['81-62=19', '3*19=57'] Exploring Operation: 7+57=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 3, 69, 33, 73 ]
95
[ "3*33=99", "73-69=4", "99-4=95" ]
Current State: 95:[3, 69, 33, 73], Operations: [] Exploring Operation: 3*33=99, Resulting Numbers: [69, 73, 99] Generated Node #2: [69, 73, 99] from Operation: 3*33=99 Current State: 95:[69, 73, 99], Operations: ['3*33=99'] Exploring Operation: 73-69=4, Resulting Numbers: [99, 4] Generated Node #3: [99, 4] from Operation: 73-69=4 Current State: 95:[99, 4], Operations: ['3*33=99', '73-69=4'] Exploring Operation: 99-4=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 46, 2, 16, 13 ]
10
[ "46+2=48", "48/16=3", "13-3=10" ]
Current State: 10:[46, 2, 16, 13], Operations: [] Exploring Operation: 46+2=48, Resulting Numbers: [16, 13, 48] Generated Node #2: [16, 13, 48] from Operation: 46+2=48 Current State: 10:[16, 13, 48], Operations: ['46+2=48'] Exploring Operation: 48/16=3, Resulting Numbers: [13, 3] Generated Node #3: [13, 3] from Operation: 48/16=3 Current State: 10:[13, 3], Operations: ['46+2=48', '48/16=3'] Exploring Operation: 13-3=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 5, 78, 76, 79 ]
15
[ "78+76=154", "154-79=75", "75/5=15" ]
Current State: 15:[5, 78, 76, 79], Operations: [] Exploring Operation: 78+76=154, Resulting Numbers: [5, 79, 154] Generated Node #2: [5, 79, 154] from Operation: 78+76=154 Current State: 15:[5, 79, 154], Operations: ['78+76=154'] Exploring Operation: 154-79=75, Resulting Numbers: [5, 75] Generated Node #3: [5, 75] from Operation: 154-79=75 Current State: 15:[5, 75], Operations: ['78+76=154', '154-79=75'] Exploring Operation: 75/5=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 38, 4, 3, 9 ]
59
[ "38+9=47", "4*3=12", "47+12=59" ]
Current State: 59:[38, 4, 3, 9], Operations: [] Exploring Operation: 38+9=47, Resulting Numbers: [4, 3, 47] Generated Node #2: [4, 3, 47] from Operation: 38+9=47 Current State: 59:[4, 3, 47], Operations: ['38+9=47'] Exploring Operation: 4*3=12, Resulting Numbers: [47, 12] Generated Node #3: [47, 12] from Operation: 4*3=12 Current State: 59:[47, 12], Operations: ['38+9=47', '4*3=12'] Exploring Operation: 47+12=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 39, 7, 42, 18 ]
33
[ "42-39=3", "18-7=11", "3*11=33" ]
Current State: 33:[39, 7, 42, 18], Operations: [] Exploring Operation: 42-39=3, Resulting Numbers: [7, 18, 3] Generated Node #2: [7, 18, 3] from Operation: 42-39=3 Current State: 33:[7, 18, 3], Operations: ['42-39=3'] Exploring Operation: 18-7=11, Resulting Numbers: [3, 11] Generated Node #3: [3, 11] from Operation: 18-7=11 Current State: 33:[3, 11], Operations: ['42-39=3', '18-7=11'] Exploring Operation: 3*11=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 29, 61, 5, 48 ]
16
[ "61-29=32", "48+32=80", "80/5=16" ]
Current State: 16:[29, 61, 5, 48], Operations: [] Exploring Operation: 61-29=32, Resulting Numbers: [5, 48, 32] Generated Node #2: [5, 48, 32] from Operation: 61-29=32 Current State: 16:[5, 48, 32], Operations: ['61-29=32'] Exploring Operation: 48+32=80, Resulting Numbers: [5, 80] Generated Node #3: [5, 80] from Operation: 48+32=80 Current State: 16:[5, 80], Operations: ['61-29=32', '48+32=80'] Exploring Operation: 80/5=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 70, 57, 86, 1 ]
98
[ "70-57=13", "86-1=85", "13+85=98" ]
Current State: 98:[70, 57, 86, 1], Operations: [] Exploring Operation: 70-57=13, Resulting Numbers: [86, 1, 13] Generated Node #2: [86, 1, 13] from Operation: 70-57=13 Current State: 98:[86, 1, 13], Operations: ['70-57=13'] Exploring Operation: 86-1=85, Resulting Numbers: [13, 85] Generated Node #3: [13, 85] from Operation: 86-1=85 Current State: 98:[13, 85], Operations: ['70-57=13', '86-1=85'] Exploring Operation: 13+85=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 78, 54, 16, 76 ]
86
[ "78-76=2", "16*2=32", "54+32=86" ]
Current State: 86:[78, 54, 16, 76], Operations: [] Exploring Operation: 78-76=2, Resulting Numbers: [54, 16, 2] Generated Node #2: [54, 16, 2] from Operation: 78-76=2 Current State: 86:[54, 16, 2], Operations: ['78-76=2'] Exploring Operation: 16*2=32, Resulting Numbers: [54, 32] Generated Node #3: [54, 32] from Operation: 16*2=32 Current State: 86:[54, 32], Operations: ['78-76=2', '16*2=32'] Exploring Operation: 54+32=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 41, 95, 54, 11 ]
93
[ "41+95=136", "54-11=43", "136-43=93" ]
Current State: 93:[41, 95, 54, 11], Operations: [] Exploring Operation: 41+95=136, Resulting Numbers: [54, 11, 136] Generated Node #2: [54, 11, 136] from Operation: 41+95=136 Current State: 93:[54, 11, 136], Operations: ['41+95=136'] Exploring Operation: 54-11=43, Resulting Numbers: [136, 43] Generated Node #3: [136, 43] from Operation: 54-11=43 Current State: 93:[136, 43], Operations: ['41+95=136', '54-11=43'] Exploring Operation: 136-43=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 21, 7, 7, 33 ]
91
[ "33-21=12", "7*12=84", "7+84=91" ]
Current State: 91:[21, 7, 7, 33], Operations: [] Exploring Operation: 33-21=12, Resulting Numbers: [7, 7, 12] Generated Node #2: [7, 7, 12] from Operation: 33-21=12 Current State: 91:[7, 7, 12], Operations: ['33-21=12'] Exploring Operation: 7*12=84, Resulting Numbers: [84] 84,91 equal: Goal Reached Exploring Operation: 7+84=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 18, 74, 71, 44 ]
65
[ "18+74=92", "71-44=27", "92-27=65" ]
Current State: 65:[18, 74, 71, 44], Operations: [] Exploring Operation: 18+74=92, Resulting Numbers: [71, 44, 92] Generated Node #2: [71, 44, 92] from Operation: 18+74=92 Current State: 65:[71, 44, 92], Operations: ['18+74=92'] Exploring Operation: 71-44=27, Resulting Numbers: [92, 27] Generated Node #3: [92, 27] from Operation: 71-44=27 Current State: 65:[92, 27], Operations: ['18+74=92', '71-44=27'] Exploring Operation: 92-27=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 99, 92, 79, 59 ]
90
[ "99+59=158", "158/79=2", "92-2=90" ]
Current State: 90:[99, 92, 79, 59], Operations: [] Exploring Operation: 99+59=158, Resulting Numbers: [92, 79, 158] Generated Node #2: [92, 79, 158] from Operation: 99+59=158 Current State: 90:[92, 79, 158], Operations: ['99+59=158'] Exploring Operation: 158/79=2, Resulting Numbers: [92, 2] Generated Node #3: [92, 2] from Operation: 158/79=2 Current State: 90:[92, 2], Operations: ['99+59=158', '158/79=2'] Exploring Operation: 92-2=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 9, 68, 4, 15 ]
65
[ "9-4=5", "15/5=3", "68-3=65" ]
Current State: 65:[9, 68, 4, 15], Operations: [] Exploring Operation: 9-4=5, Resulting Numbers: [68, 15, 5] Generated Node #2: [68, 15, 5] from Operation: 9-4=5 Current State: 65:[68, 15, 5], Operations: ['9-4=5'] Exploring Operation: 15/5=3, Resulting Numbers: [68, 3] Generated Node #3: [68, 3] from Operation: 15/5=3 Current State: 65:[68, 3], Operations: ['9-4=5', '15/5=3'] Exploring Operation: 68-3=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 3, 41, 31, 6 ]
19
[ "3+41=44", "31-6=25", "44-25=19" ]
Current State: 19:[3, 41, 31, 6], Operations: [] Exploring Operation: 3+41=44, Resulting Numbers: [31, 6, 44] Generated Node #2: [31, 6, 44] from Operation: 3+41=44 Current State: 19:[31, 6, 44], Operations: ['3+41=44'] Exploring Operation: 31-6=25, Resulting Numbers: [44, 25] Generated Node #3: [44, 25] from Operation: 31-6=25 Current State: 19:[44, 25], Operations: ['3+41=44', '31-6=25'] Exploring Operation: 44-25=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 19, 38, 2, 68 ]
79
[ "19+38=57", "2*68=136", "136-57=79" ]
Current State: 79:[19, 38, 2, 68], Operations: [] Exploring Operation: 19+38=57, Resulting Numbers: [2, 68, 57] Generated Node #2: [2, 68, 57] from Operation: 19+38=57 Current State: 79:[2, 68, 57], Operations: ['19+38=57'] Exploring Operation: 2*68=136, Resulting Numbers: [57, 136] Generated Node #3: [57, 136] from Operation: 2*68=136 Current State: 79:[57, 136], Operations: ['19+38=57', '2*68=136'] Exploring Operation: 136-57=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 37, 72, 7, 89 ]
61
[ "72-37=35", "7+89=96", "96-35=61" ]
Current State: 61:[37, 72, 7, 89], Operations: [] Exploring Operation: 72-37=35, Resulting Numbers: [7, 89, 35] Generated Node #2: [7, 89, 35] from Operation: 72-37=35 Current State: 61:[7, 89, 35], Operations: ['72-37=35'] Exploring Operation: 7+89=96, Resulting Numbers: [35, 96] Generated Node #3: [35, 96] from Operation: 7+89=96 Current State: 61:[35, 96], Operations: ['72-37=35', '7+89=96'] Exploring Operation: 96-35=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 12, 45, 22, 95 ]
40
[ "45-12=33", "95-22=73", "73-33=40" ]
Current State: 40:[12, 45, 22, 95], Operations: [] Exploring Operation: 45-12=33, Resulting Numbers: [22, 95, 33] Generated Node #2: [22, 95, 33] from Operation: 45-12=33 Current State: 40:[22, 95, 33], Operations: ['45-12=33'] Exploring Operation: 95-22=73, Resulting Numbers: [33, 73] Generated Node #3: [33, 73] from Operation: 95-22=73 Current State: 40:[33, 73], Operations: ['45-12=33', '95-22=73'] Exploring Operation: 73-33=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 10, 58, 20, 40 ]
60
[ "40-20=20", "20/10=2", "58+2=60" ]
Current State: 60:[10, 58, 20, 40], Operations: [] Exploring Operation: 40-20=20, Resulting Numbers: [10, 58, 20] Generated Node #2: [10, 58, 20] from Operation: 40-20=20 Current State: 60:[10, 58, 20], Operations: ['40-20=20'] Exploring Operation: 20/10=2, Resulting Numbers: [58, 2] Generated Node #3: [58, 2] from Operation: 20/10=2 Current State: 60:[58, 2], Operations: ['40-20=20', '20/10=2'] Exploring Operation: 58+2=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 41, 4, 73, 98 ]
12
[ "41-4=37", "98-73=25", "37-25=12" ]
Current State: 12:[41, 4, 73, 98], Operations: [] Exploring Operation: 41-4=37, Resulting Numbers: [73, 98, 37] Generated Node #2: [73, 98, 37] from Operation: 41-4=37 Current State: 12:[73, 98, 37], Operations: ['41-4=37'] Exploring Operation: 98-73=25, Resulting Numbers: [37, 25] Generated Node #3: [37, 25] from Operation: 98-73=25 Current State: 12:[37, 25], Operations: ['41-4=37', '98-73=25'] Exploring Operation: 37-25=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 32, 78, 56, 79 ]
69
[ "78-32=46", "79-56=23", "46+23=69" ]
Current State: 69:[32, 78, 56, 79], Operations: [] Exploring Operation: 78-32=46, Resulting Numbers: [56, 79, 46] Generated Node #2: [56, 79, 46] from Operation: 78-32=46 Current State: 69:[56, 79, 46], Operations: ['78-32=46'] Exploring Operation: 79-56=23, Resulting Numbers: [46, 23] Generated Node #3: [46, 23] from Operation: 79-56=23 Current State: 69:[46, 23], Operations: ['78-32=46', '79-56=23'] Exploring Operation: 46+23=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 86, 96, 43, 94 ]
92
[ "86/43=2", "94*2=188", "188-96=92" ]
Current State: 92:[86, 96, 43, 94], Operations: [] Exploring Operation: 86/43=2, Resulting Numbers: [96, 94, 2] Generated Node #2: [96, 94, 2] from Operation: 86/43=2 Current State: 92:[96, 94, 2], Operations: ['86/43=2'] Exploring Operation: 94*2=188, Resulting Numbers: [96, 188] Generated Node #3: [96, 188] from Operation: 94*2=188 Current State: 92:[96, 188], Operations: ['86/43=2', '94*2=188'] Exploring Operation: 188-96=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 28, 95, 91, 13 ]
91
[ "28*13=364", "95-91=4", "364/4=91" ]
Current State: 91:[28, 95, 91, 13], Operations: [] Exploring Operation: 28*13=364, Resulting Numbers: [95, 91, 364] Generated Node #2: [95, 91, 364] from Operation: 28*13=364 Current State: 91:[95, 91, 364], Operations: ['28*13=364'] Exploring Operation: 95-91=4, Resulting Numbers: [364, 4] Generated Node #3: [364, 4] from Operation: 95-91=4 Current State: 91:[364, 4], Operations: ['28*13=364', '95-91=4'] Exploring Operation: 364/4=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 36, 40, 50, 75 ]
29
[ "40-36=4", "75-50=25", "4+25=29" ]
Current State: 29:[36, 40, 50, 75], Operations: [] Exploring Operation: 40-36=4, Resulting Numbers: [50, 75, 4] Generated Node #2: [50, 75, 4] from Operation: 40-36=4 Current State: 29:[50, 75, 4], Operations: ['40-36=4'] Exploring Operation: 75-50=25, Resulting Numbers: [4, 25] Generated Node #3: [4, 25] from Operation: 75-50=25 Current State: 29:[4, 25], Operations: ['40-36=4', '75-50=25'] Exploring Operation: 4+25=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 24, 7, 50, 60 ]
72
[ "7+50=57", "60-57=3", "24*3=72" ]
Current State: 72:[24, 7, 50, 60], Operations: [] Exploring Operation: 7+50=57, Resulting Numbers: [24, 60, 57] Generated Node #2: [24, 60, 57] from Operation: 7+50=57 Current State: 72:[24, 60, 57], Operations: ['7+50=57'] Exploring Operation: 60-57=3, Resulting Numbers: [24, 3] Generated Node #3: [24, 3] from Operation: 60-57=3 Current State: 72:[24, 3], Operations: ['7+50=57', '60-57=3'] Exploring Operation: 24*3=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 36, 41, 38, 82 ]
39
[ "41-36=5", "82-38=44", "44-5=39" ]
Current State: 39:[36, 41, 38, 82], Operations: [] Exploring Operation: 41-36=5, Resulting Numbers: [38, 82, 5] Generated Node #2: [38, 82, 5] from Operation: 41-36=5 Current State: 39:[38, 82, 5], Operations: ['41-36=5'] Exploring Operation: 82-38=44, Resulting Numbers: [5, 44] Generated Node #3: [5, 44] from Operation: 82-38=44 Current State: 39:[5, 44], Operations: ['41-36=5', '82-38=44'] Exploring Operation: 44-5=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 4, 64, 23, 27 ]
15
[ "64-4=60", "27-23=4", "60/4=15" ]
Current State: 15:[4, 64, 23, 27], Operations: [] Exploring Operation: 64-4=60, Resulting Numbers: [23, 27, 60] Generated Node #2: [23, 27, 60] from Operation: 64-4=60 Current State: 15:[23, 27, 60], Operations: ['64-4=60'] Exploring Operation: 27-23=4, Resulting Numbers: [60, 4] Generated Node #3: [60, 4] from Operation: 27-23=4 Current State: 15:[60, 4], Operations: ['64-4=60', '27-23=4'] Exploring Operation: 60/4=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 58, 96, 39, 43 ]
44
[ "96-58=38", "39+43=82", "82-38=44" ]
Current State: 44:[58, 96, 39, 43], Operations: [] Exploring Operation: 96-58=38, Resulting Numbers: [39, 43, 38] Generated Node #2: [39, 43, 38] from Operation: 96-58=38 Current State: 44:[39, 43, 38], Operations: ['96-58=38'] Exploring Operation: 39+43=82, Resulting Numbers: [38, 82] Generated Node #3: [38, 82] from Operation: 39+43=82 Current State: 44:[38, 82], Operations: ['96-58=38', '39+43=82'] Exploring Operation: 82-38=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 35, 41, 68, 98 ]
24
[ "41-35=6", "98-68=30", "30-6=24" ]
Current State: 24:[35, 41, 68, 98], Operations: [] Exploring Operation: 41-35=6, Resulting Numbers: [68, 98, 6] Generated Node #2: [68, 98, 6] from Operation: 41-35=6 Current State: 24:[68, 98, 6], Operations: ['41-35=6'] Exploring Operation: 98-68=30, Resulting Numbers: [6, 30] Generated Node #3: [6, 30] from Operation: 98-68=30 Current State: 24:[6, 30], Operations: ['41-35=6', '98-68=30'] Exploring Operation: 30-6=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 75, 53, 78, 96 ]
32
[ "78-53=25", "75/25=3", "96/3=32" ]
Current State: 32:[75, 53, 78, 96], Operations: [] Exploring Operation: 78-53=25, Resulting Numbers: [75, 96, 25] Generated Node #2: [75, 96, 25] from Operation: 78-53=25 Current State: 32:[75, 96, 25], Operations: ['78-53=25'] Exploring Operation: 75/25=3, Resulting Numbers: [96, 3] Generated Node #3: [96, 3] from Operation: 75/25=3 Current State: 32:[96, 3], Operations: ['78-53=25', '75/25=3'] Exploring Operation: 96/3=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 19, 84, 66, 44 ]
43
[ "84-19=65", "66-44=22", "65-22=43" ]
Current State: 43:[19, 84, 66, 44], Operations: [] Exploring Operation: 84-19=65, Resulting Numbers: [66, 44, 65] Generated Node #2: [66, 44, 65] from Operation: 84-19=65 Current State: 43:[66, 44, 65], Operations: ['84-19=65'] Exploring Operation: 66-44=22, Resulting Numbers: [65, 22] Generated Node #3: [65, 22] from Operation: 66-44=22 Current State: 43:[65, 22], Operations: ['84-19=65', '66-44=22'] Exploring Operation: 65-22=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 63, 2, 78, 39 ]
67
[ "63+2=65", "78/39=2", "65+2=67" ]
Current State: 67:[63, 2, 78, 39], Operations: [] Exploring Operation: 63+2=65, Resulting Numbers: [78, 39, 65] Generated Node #2: [78, 39, 65] from Operation: 63+2=65 Current State: 67:[78, 39, 65], Operations: ['63+2=65'] Exploring Operation: 78/39=2, Resulting Numbers: [65, 2] Generated Node #3: [65, 2] from Operation: 78/39=2 Current State: 67:[65, 2], Operations: ['63+2=65', '78/39=2'] Exploring Operation: 65+2=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 28, 77, 82, 2 ]
61
[ "28*2=56", "82-77=5", "56+5=61" ]
Current State: 61:[28, 77, 82, 2], Operations: [] Exploring Operation: 28*2=56, Resulting Numbers: [77, 82, 56] Generated Node #2: [77, 82, 56] from Operation: 28*2=56 Current State: 61:[77, 82, 56], Operations: ['28*2=56'] Exploring Operation: 82-77=5, Resulting Numbers: [56, 5] Generated Node #3: [56, 5] from Operation: 82-77=5 Current State: 61:[56, 5], Operations: ['28*2=56', '82-77=5'] Exploring Operation: 56+5=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 18, 63, 82, 96 ]
54
[ "63*82=5166", "18+5166=5184", "5184/96=54" ]
Current State: 54:[18, 63, 82, 96], Operations: [] Exploring Operation: 63*82=5166, Resulting Numbers: [18, 96, 5166] Generated Node #2: [18, 96, 5166] from Operation: 63*82=5166 Current State: 54:[18, 96, 5166], Operations: ['63*82=5166'] Exploring Operation: 18+5166=5184, Resulting Numbers: [96, 5184] Generated Node #3: [96, 5184] from Operation: 18+5166=5184 Current State: 54:[96, 5184], Operations: ['63*82=5166', '18+5166=5184'] Exploring Operation: 5184/96=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 63, 37, 8, 19 ]
73
[ "63+37=100", "8+19=27", "100-27=73" ]
Current State: 73:[63, 37, 8, 19], Operations: [] Exploring Operation: 63+37=100, Resulting Numbers: [8, 19, 100] Generated Node #2: [8, 19, 100] from Operation: 63+37=100 Current State: 73:[8, 19, 100], Operations: ['63+37=100'] Exploring Operation: 8+19=27, Resulting Numbers: [100, 27] Generated Node #3: [100, 27] from Operation: 8+19=27 Current State: 73:[100, 27], Operations: ['63+37=100', '8+19=27'] Exploring Operation: 100-27=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 85, 11, 66, 55 ]
47
[ "85-11=74", "66+55=121", "121-74=47" ]
Current State: 47:[85, 11, 66, 55], Operations: [] Exploring Operation: 85-11=74, Resulting Numbers: [66, 55, 74] Generated Node #2: [66, 55, 74] from Operation: 85-11=74 Current State: 47:[66, 55, 74], Operations: ['85-11=74'] Exploring Operation: 66+55=121, Resulting Numbers: [74, 121] Generated Node #3: [74, 121] from Operation: 66+55=121 Current State: 47:[74, 121], Operations: ['85-11=74', '66+55=121'] Exploring Operation: 121-74=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 18, 27, 46, 4 ]
80
[ "46-18=28", "27*4=108", "108-28=80" ]
Current State: 80:[18, 27, 46, 4], Operations: [] Exploring Operation: 46-18=28, Resulting Numbers: [27, 4, 28] Generated Node #2: [27, 4, 28] from Operation: 46-18=28 Current State: 80:[27, 4, 28], Operations: ['46-18=28'] Exploring Operation: 27*4=108, Resulting Numbers: [28, 108] Generated Node #3: [28, 108] from Operation: 27*4=108 Current State: 80:[28, 108], Operations: ['46-18=28', '27*4=108'] Exploring Operation: 108-28=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 80, 37, 25, 21 ]
71
[ "80+37=117", "25+21=46", "117-46=71" ]
Current State: 71:[80, 37, 25, 21], Operations: [] Exploring Operation: 80+37=117, Resulting Numbers: [25, 21, 117] Generated Node #2: [25, 21, 117] from Operation: 80+37=117 Current State: 71:[25, 21, 117], Operations: ['80+37=117'] Exploring Operation: 25+21=46, Resulting Numbers: [117, 46] Generated Node #3: [117, 46] from Operation: 25+21=46 Current State: 71:[117, 46], Operations: ['80+37=117', '25+21=46'] Exploring Operation: 117-46=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 12, 36, 37, 26 ]
59
[ "12+36=48", "37-26=11", "48+11=59" ]
Current State: 59:[12, 36, 37, 26], Operations: [] Exploring Operation: 12+36=48, Resulting Numbers: [37, 26, 48] Generated Node #2: [37, 26, 48] from Operation: 12+36=48 Current State: 59:[37, 26, 48], Operations: ['12+36=48'] Exploring Operation: 37-26=11, Resulting Numbers: [48, 11] Generated Node #3: [48, 11] from Operation: 37-26=11 Current State: 59:[48, 11], Operations: ['12+36=48', '37-26=11'] Exploring Operation: 48+11=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 6, 72, 63, 15 ]
85
[ "63+15=78", "78/6=13", "72+13=85" ]
Current State: 85:[6, 72, 63, 15], Operations: [] Exploring Operation: 63+15=78, Resulting Numbers: [6, 72, 78] Generated Node #2: [6, 72, 78] from Operation: 63+15=78 Current State: 85:[6, 72, 78], Operations: ['63+15=78'] Exploring Operation: 78/6=13, Resulting Numbers: [72, 13] Generated Node #3: [72, 13] from Operation: 78/6=13 Current State: 85:[72, 13], Operations: ['63+15=78', '78/6=13'] Exploring Operation: 72+13=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 14, 52, 3, 82 ]
47
[ "52-14=38", "3+82=85", "85-38=47" ]
Current State: 47:[14, 52, 3, 82], Operations: [] Exploring Operation: 52-14=38, Resulting Numbers: [3, 82, 38] Generated Node #2: [3, 82, 38] from Operation: 52-14=38 Current State: 47:[3, 82, 38], Operations: ['52-14=38'] Exploring Operation: 3+82=85, Resulting Numbers: [38, 85] Generated Node #3: [38, 85] from Operation: 3+82=85 Current State: 47:[38, 85], Operations: ['52-14=38', '3+82=85'] Exploring Operation: 85-38=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 65, 60, 8, 43 ]
83
[ "65-60=5", "8*5=40", "43+40=83" ]
Current State: 83:[65, 60, 8, 43], Operations: [] Exploring Operation: 65-60=5, Resulting Numbers: [8, 43, 5] Generated Node #2: [8, 43, 5] from Operation: 65-60=5 Current State: 83:[8, 43, 5], Operations: ['65-60=5'] Exploring Operation: 8*5=40, Resulting Numbers: [43, 40] Generated Node #3: [43, 40] from Operation: 8*5=40 Current State: 83:[43, 40], Operations: ['65-60=5', '8*5=40'] Exploring Operation: 43+40=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 4, 84, 43, 23 ]
41
[ "84/4=21", "43-23=20", "21+20=41" ]
Current State: 41:[4, 84, 43, 23], Operations: [] Exploring Operation: 84/4=21, Resulting Numbers: [43, 23, 21] Generated Node #2: [43, 23, 21] from Operation: 84/4=21 Current State: 41:[43, 23, 21], Operations: ['84/4=21'] Exploring Operation: 43-23=20, Resulting Numbers: [21, 20] Generated Node #3: [21, 20] from Operation: 43-23=20 Current State: 41:[21, 20], Operations: ['84/4=21', '43-23=20'] Exploring Operation: 21+20=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 51, 98, 92, 43 ]
100
[ "51+98=149", "92-43=49", "149-49=100" ]
Current State: 100:[51, 98, 92, 43], Operations: [] Exploring Operation: 51+98=149, Resulting Numbers: [92, 43, 149] Generated Node #2: [92, 43, 149] from Operation: 51+98=149 Current State: 100:[92, 43, 149], Operations: ['51+98=149'] Exploring Operation: 92-43=49, Resulting Numbers: [149, 49] Generated Node #3: [149, 49] from Operation: 92-43=49 Current State: 100:[149, 49], Operations: ['51+98=149', '92-43=49'] Exploring Operation: 149-49=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 42, 94, 85, 57 ]
17
[ "94-42=52", "57-52=5", "85/5=17" ]
Current State: 17:[42, 94, 85, 57], Operations: [] Exploring Operation: 94-42=52, Resulting Numbers: [85, 57, 52] Generated Node #2: [85, 57, 52] from Operation: 94-42=52 Current State: 17:[85, 57, 52], Operations: ['94-42=52'] Exploring Operation: 57-52=5, Resulting Numbers: [85, 5] Generated Node #3: [85, 5] from Operation: 57-52=5 Current State: 17:[85, 5], Operations: ['94-42=52', '57-52=5'] Exploring Operation: 85/5=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 34, 6, 9, 64 ]
86
[ "34-9=25", "6*25=150", "150-64=86" ]
Current State: 86:[34, 6, 9, 64], Operations: [] Exploring Operation: 34-9=25, Resulting Numbers: [6, 64, 25] Generated Node #2: [6, 64, 25] from Operation: 34-9=25 Current State: 86:[6, 64, 25], Operations: ['34-9=25'] Exploring Operation: 6*25=150, Resulting Numbers: [64, 150] Generated Node #3: [64, 150] from Operation: 6*25=150 Current State: 86:[64, 150], Operations: ['34-9=25', '6*25=150'] Exploring Operation: 150-64=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 2, 44, 47, 26 ]
56
[ "44-26=18", "18/2=9", "47+9=56" ]
Current State: 56:[2, 44, 47, 26], Operations: [] Exploring Operation: 44-26=18, Resulting Numbers: [2, 47, 18] Generated Node #2: [2, 47, 18] from Operation: 44-26=18 Current State: 56:[2, 47, 18], Operations: ['44-26=18'] Exploring Operation: 18/2=9, Resulting Numbers: [47, 9] Generated Node #3: [47, 9] from Operation: 18/2=9 Current State: 56:[47, 9], Operations: ['44-26=18', '18/2=9'] Exploring Operation: 47+9=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4