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
[ 12, 90, 15, 50 ]
43
[ "90-12=78", "50-15=35", "78-35=43" ]
Current State: 43:[12, 90, 15, 50], Operations: [] Exploring Operation: 90-12=78, Resulting Numbers: [15, 50, 78] Generated Node #2: [15, 50, 78] from Operation: 90-12=78 Current State: 43:[15, 50, 78], Operations: ['90-12=78'] Exploring Operation: 50-15=35, Resulting Numbers: [78, 35] Generated Node #3: [78, 35] from Operation: 50-15=35 Current State: 43:[78, 35], Operations: ['90-12=78', '50-15=35'] Exploring Operation: 78-35=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 89, 59, 93, 31 ]
32
[ "89-59=30", "93-31=62", "62-30=32" ]
Current State: 32:[89, 59, 93, 31], Operations: [] Exploring Operation: 89-59=30, Resulting Numbers: [93, 31, 30] Generated Node #2: [93, 31, 30] from Operation: 89-59=30 Current State: 32:[93, 31, 30], Operations: ['89-59=30'] Exploring Operation: 93-31=62, Resulting Numbers: [30, 62] Generated Node #3: [30, 62] from Operation: 93-31=62 Current State: 32:[30, 62], Operations: ['89-59=30', '93-31=62'] Exploring Operation: 62-30=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 28, 28, 22, 67 ]
89
[ "28-28=0", "22+67=89", "0+89=89" ]
Current State: 89:[28, 28, 22, 67], Operations: [] Exploring Operation: 28-28=0, Resulting Numbers: [22, 67, 0] Generated Node #2: [22, 67, 0] from Operation: 28-28=0 Current State: 89:[22, 67, 0], Operations: ['28-28=0'] Exploring Operation: 22+67=89, Resulting Numbers: [0, 89] Generated Node #3: [0, 89] from Operation: 22+67=89 Current State: 89:[0, 89], Operations: ['28-28=0', '22+67=89'] Exploring Operation: 0+89=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 1, 38, 11, 23 ]
51
[ "1+38=39", "23-11=12", "39+12=51" ]
Current State: 51:[1, 38, 11, 23], Operations: [] Exploring Operation: 1+38=39, Resulting Numbers: [11, 23, 39] Generated Node #2: [11, 23, 39] from Operation: 1+38=39 Current State: 51:[11, 23, 39], Operations: ['1+38=39'] Exploring Operation: 23-11=12, Resulting Numbers: [39, 12] Generated Node #3: [39, 12] from Operation: 23-11=12 Current State: 51:[39, 12], Operations: ['1+38=39', '23-11=12'] Exploring Operation: 39+12=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 57, 31, 16, 9 ]
78
[ "31-16=15", "9*15=135", "135-57=78" ]
Current State: 78:[57, 31, 16, 9], Operations: [] Exploring Operation: 31-16=15, Resulting Numbers: [57, 9, 15] Generated Node #2: [57, 9, 15] from Operation: 31-16=15 Current State: 78:[57, 9, 15], Operations: ['31-16=15'] Exploring Operation: 9*15=135, Resulting Numbers: [57, 135] Generated Node #3: [57, 135] from Operation: 9*15=135 Current State: 78:[57, 135], Operations: ['31-16=15', '9*15=135'] Exploring Operation: 135-57=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 2, 72, 49, 11 ]
48
[ "49+11=60", "2*60=120", "120-72=48" ]
Current State: 48:[2, 72, 49, 11], Operations: [] Exploring Operation: 49+11=60, Resulting Numbers: [2, 72, 60] Generated Node #2: [2, 72, 60] from Operation: 49+11=60 Current State: 48:[2, 72, 60], Operations: ['49+11=60'] Exploring Operation: 2*60=120, Resulting Numbers: [72, 120] Generated Node #3: [72, 120] from Operation: 2*60=120 Current State: 48:[72, 120], Operations: ['49+11=60', '2*60=120'] Exploring Operation: 120-72=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 1, 32, 61, 53 ]
83
[ "32-1=31", "61+53=114", "114-31=83" ]
Current State: 83:[1, 32, 61, 53], Operations: [] Exploring Operation: 32-1=31, Resulting Numbers: [61, 53, 31] Generated Node #2: [61, 53, 31] from Operation: 32-1=31 Current State: 83:[61, 53, 31], Operations: ['32-1=31'] Exploring Operation: 61+53=114, Resulting Numbers: [31, 114] Generated Node #3: [31, 114] from Operation: 61+53=114 Current State: 83:[31, 114], Operations: ['32-1=31', '61+53=114'] Exploring Operation: 114-31=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 1, 66, 42, 17 ]
91
[ "1*66=66", "42-17=25", "66+25=91" ]
Current State: 91:[1, 66, 42, 17], Operations: [] Exploring Operation: 1*66=66, Resulting Numbers: [42, 17, 66] Generated Node #2: [42, 17, 66] from Operation: 1*66=66 Current State: 91:[42, 17, 66], Operations: ['1*66=66'] Exploring Operation: 42-17=25, Resulting Numbers: [66, 25] Generated Node #3: [66, 25] from Operation: 42-17=25 Current State: 91:[66, 25], Operations: ['1*66=66', '42-17=25'] Exploring Operation: 66+25=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 99, 52, 1, 25 ]
56
[ "99+1=100", "100/25=4", "52+4=56" ]
Current State: 56:[99, 52, 1, 25], Operations: [] Exploring Operation: 99+1=100, Resulting Numbers: [52, 25, 100] Generated Node #2: [52, 25, 100] from Operation: 99+1=100 Current State: 56:[52, 25, 100], Operations: ['99+1=100'] Exploring Operation: 100/25=4, Resulting Numbers: [52, 4] Generated Node #3: [52, 4] from Operation: 100/25=4 Current State: 56:[52, 4], Operations: ['99+1=100', '100/25=4'] Exploring Operation: 52+4=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 58, 4, 9, 26 ]
12
[ "58+26=84", "84/4=21", "21-9=12" ]
Current State: 12:[58, 4, 9, 26], Operations: [] Exploring Operation: 58+26=84, Resulting Numbers: [4, 9, 84] Generated Node #2: [4, 9, 84] from Operation: 58+26=84 Current State: 12:[4, 9, 84], Operations: ['58+26=84'] Exploring Operation: 84/4=21, Resulting Numbers: [9, 21] Generated Node #3: [9, 21] from Operation: 84/4=21 Current State: 12:[9, 21], Operations: ['58+26=84', '84/4=21'] Exploring Operation: 21-9=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 18, 7, 38, 52 ]
60
[ "18+38=56", "56/7=8", "52+8=60" ]
Current State: 60:[18, 7, 38, 52], Operations: [] Exploring Operation: 18+38=56, Resulting Numbers: [7, 52, 56] Generated Node #2: [7, 52, 56] from Operation: 18+38=56 Current State: 60:[7, 52, 56], Operations: ['18+38=56'] Exploring Operation: 56/7=8, Resulting Numbers: [52, 8] Generated Node #3: [52, 8] from Operation: 56/7=8 Current State: 60:[52, 8], Operations: ['18+38=56', '56/7=8'] Exploring Operation: 52+8=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 92, 32, 30, 32 ]
16
[ "92-32=60", "30*32=960", "960/60=16" ]
Current State: 16:[92, 32, 30, 32], Operations: [] Exploring Operation: 92-32=60, Resulting Numbers: [30, 60] Generated Node #2: [30, 60] from Operation: 92-32=60 Current State: 16:[30, 60], Operations: ['92-32=60'] Exploring Operation: 30*32=960, Resulting Numbers: [60, 960] Generated Node #3: [60, 960] from Operation: 30*32=960 Current State: 16:[60, 960], Operations: ['92-32=60', '30*32=960'] Exploring Operation: 960/60=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 7, 17, 53, 4 ]
93
[ "7*17=119", "53*4=212", "212-119=93" ]
Current State: 93:[7, 17, 53, 4], Operations: [] Exploring Operation: 7*17=119, Resulting Numbers: [53, 4, 119] Generated Node #2: [53, 4, 119] from Operation: 7*17=119 Current State: 93:[53, 4, 119], Operations: ['7*17=119'] Exploring Operation: 53*4=212, Resulting Numbers: [119, 212] Generated Node #3: [119, 212] from Operation: 53*4=212 Current State: 93:[119, 212], Operations: ['7*17=119', '53*4=212'] Exploring Operation: 212-119=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 99, 91, 8, 61 ]
71
[ "99+61=160", "160/8=20", "91-20=71" ]
Current State: 71:[99, 91, 8, 61], Operations: [] Exploring Operation: 99+61=160, Resulting Numbers: [91, 8, 160] Generated Node #2: [91, 8, 160] from Operation: 99+61=160 Current State: 71:[91, 8, 160], Operations: ['99+61=160'] Exploring Operation: 160/8=20, Resulting Numbers: [91, 20] Generated Node #3: [91, 20] from Operation: 160/8=20 Current State: 71:[91, 20], Operations: ['99+61=160', '160/8=20'] Exploring Operation: 91-20=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 7, 89, 12, 80 ]
73
[ "12-7=5", "80/5=16", "89-16=73" ]
Current State: 73:[7, 89, 12, 80], Operations: [] Exploring Operation: 12-7=5, Resulting Numbers: [89, 80, 5] Generated Node #2: [89, 80, 5] from Operation: 12-7=5 Current State: 73:[89, 80, 5], Operations: ['12-7=5'] Exploring Operation: 80/5=16, Resulting Numbers: [89, 16] Generated Node #3: [89, 16] from Operation: 80/5=16 Current State: 73:[89, 16], Operations: ['12-7=5', '80/5=16'] Exploring Operation: 89-16=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 39, 89, 99, 66 ]
83
[ "89-39=50", "99-66=33", "50+33=83" ]
Current State: 83:[39, 89, 99, 66], Operations: [] Exploring Operation: 89-39=50, Resulting Numbers: [99, 66, 50] Generated Node #2: [99, 66, 50] from Operation: 89-39=50 Current State: 83:[99, 66, 50], Operations: ['89-39=50'] Exploring Operation: 99-66=33, Resulting Numbers: [50, 33] Generated Node #3: [50, 33] from Operation: 99-66=33 Current State: 83:[50, 33], Operations: ['89-39=50', '99-66=33'] Exploring Operation: 50+33=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 2, 86, 70, 2 ]
80
[ "86+70=156", "156/2=78", "2+78=80" ]
Current State: 80:[2, 86, 70, 2], Operations: [] Exploring Operation: 86+70=156, Resulting Numbers: [2, 2, 156] Generated Node #2: [2, 2, 156] from Operation: 86+70=156 Current State: 80:[2, 2, 156], Operations: ['86+70=156'] Exploring Operation: 156/2=78, Resulting Numbers: [78] 78,80 equal: Goal Reached Exploring Operation: 2+78=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 59, 58, 60, 87 ]
89
[ "58+60=118", "118/59=2", "87+2=89" ]
Current State: 89:[59, 58, 60, 87], Operations: [] Exploring Operation: 58+60=118, Resulting Numbers: [59, 87, 118] Generated Node #2: [59, 87, 118] from Operation: 58+60=118 Current State: 89:[59, 87, 118], Operations: ['58+60=118'] Exploring Operation: 118/59=2, Resulting Numbers: [87, 2] Generated Node #3: [87, 2] from Operation: 118/59=2 Current State: 89:[87, 2], Operations: ['58+60=118', '118/59=2'] Exploring Operation: 87+2=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 60, 12, 24, 2 ]
25
[ "12-2=10", "60*10=600", "600/24=25" ]
Current State: 25:[60, 12, 24, 2], Operations: [] Exploring Operation: 12-2=10, Resulting Numbers: [60, 24, 10] Generated Node #2: [60, 24, 10] from Operation: 12-2=10 Current State: 25:[60, 24, 10], Operations: ['12-2=10'] Exploring Operation: 60*10=600, Resulting Numbers: [24, 600] Generated Node #3: [24, 600] from Operation: 60*10=600 Current State: 25:[24, 600], Operations: ['12-2=10', '60*10=600'] Exploring Operation: 600/24=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 17, 61, 43, 14 ]
49
[ "17+61=78", "43-14=29", "78-29=49" ]
Current State: 49:[17, 61, 43, 14], Operations: [] Exploring Operation: 17+61=78, Resulting Numbers: [43, 14, 78] Generated Node #2: [43, 14, 78] from Operation: 17+61=78 Current State: 49:[43, 14, 78], Operations: ['17+61=78'] Exploring Operation: 43-14=29, Resulting Numbers: [78, 29] Generated Node #3: [78, 29] from Operation: 43-14=29 Current State: 49:[78, 29], Operations: ['17+61=78', '43-14=29'] Exploring Operation: 78-29=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 73, 98, 23, 23 ]
24
[ "98-73=25", "23/23=1", "25-1=24" ]
Current State: 24:[73, 98, 23, 23], Operations: [] Exploring Operation: 98-73=25, Resulting Numbers: [23, 23, 25] Generated Node #2: [23, 23, 25] from Operation: 98-73=25 Current State: 24:[23, 23, 25], Operations: ['98-73=25'] Exploring Operation: 23/23=1, Resulting Numbers: [25, 1] Generated Node #3: [25, 1] from Operation: 23/23=1 Current State: 24:[25, 1], Operations: ['98-73=25', '23/23=1'] Exploring Operation: 25-1=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 14, 64, 43, 66 ]
36
[ "66-64=2", "14/2=7", "43-7=36" ]
Current State: 36:[14, 64, 43, 66], Operations: [] Exploring Operation: 66-64=2, Resulting Numbers: [14, 43, 2] Generated Node #2: [14, 43, 2] from Operation: 66-64=2 Current State: 36:[14, 43, 2], Operations: ['66-64=2'] Exploring Operation: 14/2=7, Resulting Numbers: [43, 7] Generated Node #3: [43, 7] from Operation: 14/2=7 Current State: 36:[43, 7], Operations: ['66-64=2', '14/2=7'] Exploring Operation: 43-7=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 76, 36, 2, 76 ]
74
[ "76+36=112", "76/2=38", "112-38=74" ]
Current State: 74:[76, 36, 2, 76], Operations: [] Exploring Operation: 76+36=112, Resulting Numbers: [2, 112] Generated Node #2: [2, 112] from Operation: 76+36=112 Current State: 74:[2, 112], Operations: ['76+36=112'] Exploring Operation: 76/2=38, Resulting Numbers: [112, 38] Generated Node #3: [112, 38] from Operation: 76/2=38 Current State: 74:[112, 38], Operations: ['76+36=112', '76/2=38'] Exploring Operation: 112-38=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 89, 35, 3, 28 ]
29
[ "89-35=54", "28-3=25", "54-25=29" ]
Current State: 29:[89, 35, 3, 28], Operations: [] Exploring Operation: 89-35=54, Resulting Numbers: [3, 28, 54] Generated Node #2: [3, 28, 54] from Operation: 89-35=54 Current State: 29:[3, 28, 54], Operations: ['89-35=54'] Exploring Operation: 28-3=25, Resulting Numbers: [54, 25] Generated Node #3: [54, 25] from Operation: 28-3=25 Current State: 29:[54, 25], Operations: ['89-35=54', '28-3=25'] Exploring Operation: 54-25=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 81, 50, 85, 37 ]
17
[ "81-50=31", "85-37=48", "48-31=17" ]
Current State: 17:[81, 50, 85, 37], Operations: [] Exploring Operation: 81-50=31, Resulting Numbers: [85, 37, 31] Generated Node #2: [85, 37, 31] from Operation: 81-50=31 Current State: 17:[85, 37, 31], Operations: ['81-50=31'] Exploring Operation: 85-37=48, Resulting Numbers: [31, 48] Generated Node #3: [31, 48] from Operation: 85-37=48 Current State: 17:[31, 48], Operations: ['81-50=31', '85-37=48'] Exploring Operation: 48-31=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 45, 69, 24, 9 ]
64
[ "69-45=24", "24*24=576", "576/9=64" ]
Current State: 64:[45, 69, 24, 9], Operations: [] Exploring Operation: 69-45=24, Resulting Numbers: [24, 9, 24] Generated Node #2: [24, 9, 24] from Operation: 69-45=24 Current State: 64:[24, 9, 24], Operations: ['69-45=24'] Exploring Operation: 24*24=576, Resulting Numbers: [9, 576] Generated Node #3: [9, 576] from Operation: 24*24=576 Current State: 64:[9, 576], Operations: ['69-45=24', '24*24=576'] Exploring Operation: 576/9=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 65, 83, 37, 86 ]
99
[ "65+83=148", "86-37=49", "148-49=99" ]
Current State: 99:[65, 83, 37, 86], Operations: [] Exploring Operation: 65+83=148, Resulting Numbers: [37, 86, 148] Generated Node #2: [37, 86, 148] from Operation: 65+83=148 Current State: 99:[37, 86, 148], Operations: ['65+83=148'] Exploring Operation: 86-37=49, Resulting Numbers: [148, 49] Generated Node #3: [148, 49] from Operation: 86-37=49 Current State: 99:[148, 49], Operations: ['65+83=148', '86-37=49'] Exploring Operation: 148-49=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 55, 89, 46, 92 ]
21
[ "55*92=5060", "5060/46=110", "110-89=21" ]
Current State: 21:[55, 89, 46, 92], Operations: [] Exploring Operation: 55*92=5060, Resulting Numbers: [89, 46, 5060] Generated Node #2: [89, 46, 5060] from Operation: 55*92=5060 Current State: 21:[89, 46, 5060], Operations: ['55*92=5060'] Exploring Operation: 5060/46=110, Resulting Numbers: [89, 110] Generated Node #3: [89, 110] from Operation: 5060/46=110 Current State: 21:[89, 110], Operations: ['55*92=5060', '5060/46=110'] Exploring Operation: 110-89=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 42, 9, 14, 65 ]
59
[ "42/14=3", "65-9=56", "3+56=59" ]
Current State: 59:[42, 9, 14, 65], Operations: [] Exploring Operation: 42/14=3, Resulting Numbers: [9, 65, 3] Generated Node #2: [9, 65, 3] from Operation: 42/14=3 Current State: 59:[9, 65, 3], Operations: ['42/14=3'] Exploring Operation: 65-9=56, Resulting Numbers: [3, 56] Generated Node #3: [3, 56] from Operation: 65-9=56 Current State: 59:[3, 56], Operations: ['42/14=3', '65-9=56'] Exploring Operation: 3+56=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 76, 54, 54, 88 ]
76
[ "54-54=0", "88*0=0", "76+0=76" ]
Current State: 76:[76, 54, 54, 88], Operations: [] Exploring Operation: 54-54=0, Resulting Numbers: [76, 88, 0] Generated Node #2: [76, 88, 0] from Operation: 54-54=0 Current State: 76:[76, 88, 0], Operations: ['54-54=0'] Exploring Operation: 88*0=0, Resulting Numbers: [76, 0] Generated Node #3: [76, 0] from Operation: 88*0=0 Current State: 76:[76, 0], Operations: ['54-54=0', '88*0=0'] Exploring Operation: 76+0=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 62, 20, 89, 87 ]
72
[ "89-87=2", "20/2=10", "62+10=72" ]
Current State: 72:[62, 20, 89, 87], Operations: [] Exploring Operation: 89-87=2, Resulting Numbers: [62, 20, 2] Generated Node #2: [62, 20, 2] from Operation: 89-87=2 Current State: 72:[62, 20, 2], Operations: ['89-87=2'] Exploring Operation: 20/2=10, Resulting Numbers: [62, 10] Generated Node #3: [62, 10] from Operation: 20/2=10 Current State: 72:[62, 10], Operations: ['89-87=2', '20/2=10'] Exploring Operation: 62+10=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 2, 69, 94, 29 ]
67
[ "69+94=163", "163-29=134", "134/2=67" ]
Current State: 67:[2, 69, 94, 29], Operations: [] Exploring Operation: 69+94=163, Resulting Numbers: [2, 29, 163] Generated Node #2: [2, 29, 163] from Operation: 69+94=163 Current State: 67:[2, 29, 163], Operations: ['69+94=163'] Exploring Operation: 163-29=134, Resulting Numbers: [2, 134] Generated Node #3: [2, 134] from Operation: 163-29=134 Current State: 67:[2, 134], Operations: ['69+94=163', '163-29=134'] Exploring Operation: 134/2=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 97, 93, 3, 60 ]
45
[ "97-93=4", "3*60=180", "180/4=45" ]
Current State: 45:[97, 93, 3, 60], Operations: [] Exploring Operation: 97-93=4, Resulting Numbers: [3, 60, 4] Generated Node #2: [3, 60, 4] from Operation: 97-93=4 Current State: 45:[3, 60, 4], Operations: ['97-93=4'] Exploring Operation: 3*60=180, Resulting Numbers: [4, 180] Generated Node #3: [4, 180] from Operation: 3*60=180 Current State: 45:[4, 180], Operations: ['97-93=4', '3*60=180'] Exploring Operation: 180/4=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 7, 5, 5, 74 ]
34
[ "7*5=35", "74-5=69", "69-35=34" ]
Current State: 34:[7, 5, 5, 74], Operations: [] Exploring Operation: 7*5=35, Resulting Numbers: [74, 35] Generated Node #2: [74, 35] from Operation: 7*5=35 Current State: 34:[74, 35], Operations: ['7*5=35'] Exploring Operation: 74-5=69, Resulting Numbers: [35, 69] Generated Node #3: [35, 69] from Operation: 74-5=69 Current State: 34:[35, 69], Operations: ['7*5=35', '74-5=69'] Exploring Operation: 69-35=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 81, 5, 45, 5 ]
90
[ "81*5=405", "45+405=450", "450/5=90" ]
Current State: 90:[81, 5, 45, 5], Operations: [] Exploring Operation: 81*5=405, Resulting Numbers: [45, 405] Generated Node #2: [45, 405] from Operation: 81*5=405 Current State: 90:[45, 405], Operations: ['81*5=405'] Exploring Operation: 45+405=450, Resulting Numbers: [450] 450,90 equal: Goal Reached Exploring Operation: 450/5=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 23, 35, 68, 63 ]
30
[ "68-63=5", "35/5=7", "23+7=30" ]
Current State: 30:[23, 35, 68, 63], Operations: [] Exploring Operation: 68-63=5, Resulting Numbers: [23, 35, 5] Generated Node #2: [23, 35, 5] from Operation: 68-63=5 Current State: 30:[23, 35, 5], Operations: ['68-63=5'] Exploring Operation: 35/5=7, Resulting Numbers: [23, 7] Generated Node #3: [23, 7] from Operation: 35/5=7 Current State: 30:[23, 7], Operations: ['68-63=5', '35/5=7'] Exploring Operation: 23+7=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 79, 8, 74, 19 ]
57
[ "79-8=71", "74-71=3", "19*3=57" ]
Current State: 57:[79, 8, 74, 19], Operations: [] Exploring Operation: 79-8=71, Resulting Numbers: [74, 19, 71] Generated Node #2: [74, 19, 71] from Operation: 79-8=71 Current State: 57:[74, 19, 71], Operations: ['79-8=71'] Exploring Operation: 74-71=3, Resulting Numbers: [19, 3] Generated Node #3: [19, 3] from Operation: 74-71=3 Current State: 57:[19, 3], Operations: ['79-8=71', '74-71=3'] Exploring Operation: 19*3=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 58, 88, 49, 18 ]
74
[ "58-49=9", "18*9=162", "162-88=74" ]
Current State: 74:[58, 88, 49, 18], Operations: [] Exploring Operation: 58-49=9, Resulting Numbers: [88, 18, 9] Generated Node #2: [88, 18, 9] from Operation: 58-49=9 Current State: 74:[88, 18, 9], Operations: ['58-49=9'] Exploring Operation: 18*9=162, Resulting Numbers: [88, 162] Generated Node #3: [88, 162] from Operation: 18*9=162 Current State: 74:[88, 162], Operations: ['58-49=9', '18*9=162'] Exploring Operation: 162-88=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 35, 68, 2, 16 ]
71
[ "35+68=103", "2*16=32", "103-32=71" ]
Current State: 71:[35, 68, 2, 16], Operations: [] Exploring Operation: 35+68=103, Resulting Numbers: [2, 16, 103] Generated Node #2: [2, 16, 103] from Operation: 35+68=103 Current State: 71:[2, 16, 103], Operations: ['35+68=103'] Exploring Operation: 2*16=32, Resulting Numbers: [103, 32] Generated Node #3: [103, 32] from Operation: 2*16=32 Current State: 71:[103, 32], Operations: ['35+68=103', '2*16=32'] Exploring Operation: 103-32=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 30, 9, 59, 31 ]
18
[ "59-30=29", "31-29=2", "9*2=18" ]
Current State: 18:[30, 9, 59, 31], Operations: [] Exploring Operation: 59-30=29, Resulting Numbers: [9, 31, 29] Generated Node #2: [9, 31, 29] from Operation: 59-30=29 Current State: 18:[9, 31, 29], Operations: ['59-30=29'] Exploring Operation: 31-29=2, Resulting Numbers: [9, 2] Generated Node #3: [9, 2] from Operation: 31-29=2 Current State: 18:[9, 2], Operations: ['59-30=29', '31-29=2'] Exploring Operation: 9*2=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 69, 33, 29, 20 ]
11
[ "33-29=4", "20*4=80", "80-69=11" ]
Current State: 11:[69, 33, 29, 20], Operations: [] Exploring Operation: 33-29=4, Resulting Numbers: [69, 20, 4] Generated Node #2: [69, 20, 4] from Operation: 33-29=4 Current State: 11:[69, 20, 4], Operations: ['33-29=4'] Exploring Operation: 20*4=80, Resulting Numbers: [69, 80] Generated Node #3: [69, 80] from Operation: 20*4=80 Current State: 11:[69, 80], Operations: ['33-29=4', '20*4=80'] Exploring Operation: 80-69=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 10, 22, 62, 14 ]
88
[ "22-10=12", "62+14=76", "12+76=88" ]
Current State: 88:[10, 22, 62, 14], Operations: [] Exploring Operation: 22-10=12, Resulting Numbers: [62, 14, 12] Generated Node #2: [62, 14, 12] from Operation: 22-10=12 Current State: 88:[62, 14, 12], Operations: ['22-10=12'] Exploring Operation: 62+14=76, Resulting Numbers: [12, 76] Generated Node #3: [12, 76] from Operation: 62+14=76 Current State: 88:[12, 76], Operations: ['22-10=12', '62+14=76'] Exploring Operation: 12+76=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 89, 87, 38, 6 ]
30
[ "89-87=2", "38-6=32", "32-2=30" ]
Current State: 30:[89, 87, 38, 6], Operations: [] Exploring Operation: 89-87=2, Resulting Numbers: [38, 6, 2] Generated Node #2: [38, 6, 2] from Operation: 89-87=2 Current State: 30:[38, 6, 2], Operations: ['89-87=2'] Exploring Operation: 38-6=32, Resulting Numbers: [2, 32] Generated Node #3: [2, 32] from Operation: 38-6=32 Current State: 30:[2, 32], Operations: ['89-87=2', '38-6=32'] Exploring Operation: 32-2=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 29, 3, 49, 87 ]
64
[ "29-3=26", "87-49=38", "26+38=64" ]
Current State: 64:[29, 3, 49, 87], Operations: [] Exploring Operation: 29-3=26, Resulting Numbers: [49, 87, 26] Generated Node #2: [49, 87, 26] from Operation: 29-3=26 Current State: 64:[49, 87, 26], Operations: ['29-3=26'] Exploring Operation: 87-49=38, Resulting Numbers: [26, 38] Generated Node #3: [26, 38] from Operation: 87-49=38 Current State: 64:[26, 38], Operations: ['29-3=26', '87-49=38'] Exploring Operation: 26+38=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 51, 97, 53, 91 ]
94
[ "53-51=2", "97+91=188", "188/2=94" ]
Current State: 94:[51, 97, 53, 91], Operations: [] Exploring Operation: 53-51=2, Resulting Numbers: [97, 91, 2] Generated Node #2: [97, 91, 2] from Operation: 53-51=2 Current State: 94:[97, 91, 2], Operations: ['53-51=2'] Exploring Operation: 97+91=188, Resulting Numbers: [2, 188] Generated Node #3: [2, 188] from Operation: 97+91=188 Current State: 94:[2, 188], Operations: ['53-51=2', '97+91=188'] Exploring Operation: 188/2=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 25, 38, 22, 12 ]
23
[ "38-25=13", "22-12=10", "13+10=23" ]
Current State: 23:[25, 38, 22, 12], Operations: [] Exploring Operation: 38-25=13, Resulting Numbers: [22, 12, 13] Generated Node #2: [22, 12, 13] from Operation: 38-25=13 Current State: 23:[22, 12, 13], Operations: ['38-25=13'] Exploring Operation: 22-12=10, Resulting Numbers: [13, 10] Generated Node #3: [13, 10] from Operation: 22-12=10 Current State: 23:[13, 10], Operations: ['38-25=13', '22-12=10'] Exploring Operation: 13+10=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 64, 65, 64, 42 ]
65
[ "64-64=0", "42*0=0", "65+0=65" ]
Current State: 65:[64, 65, 64, 42], Operations: [] Exploring Operation: 64-64=0, Resulting Numbers: [65, 42, 0] Generated Node #2: [65, 42, 0] from Operation: 64-64=0 Current State: 65:[65, 42, 0], Operations: ['64-64=0'] Exploring Operation: 42*0=0, Resulting Numbers: [65, 0] Generated Node #3: [65, 0] from Operation: 42*0=0 Current State: 65:[65, 0], Operations: ['64-64=0', '42*0=0'] Exploring Operation: 65+0=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 15, 87, 3, 6 ]
24
[ "87-15=72", "6-3=3", "72/3=24" ]
Current State: 24:[15, 87, 3, 6], Operations: [] Exploring Operation: 87-15=72, Resulting Numbers: [3, 6, 72] Generated Node #2: [3, 6, 72] from Operation: 87-15=72 Current State: 24:[3, 6, 72], Operations: ['87-15=72'] Exploring Operation: 6-3=3, Resulting Numbers: [72, 3] Generated Node #3: [72, 3] from Operation: 6-3=3 Current State: 24:[72, 3], Operations: ['87-15=72', '6-3=3'] Exploring Operation: 72/3=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 83, 80, 8, 37 ]
87
[ "83-80=3", "37-8=29", "3*29=87" ]
Current State: 87:[83, 80, 8, 37], Operations: [] Exploring Operation: 83-80=3, Resulting Numbers: [8, 37, 3] Generated Node #2: [8, 37, 3] from Operation: 83-80=3 Current State: 87:[8, 37, 3], Operations: ['83-80=3'] Exploring Operation: 37-8=29, Resulting Numbers: [3, 29] Generated Node #3: [3, 29] from Operation: 37-8=29 Current State: 87:[3, 29], Operations: ['83-80=3', '37-8=29'] Exploring Operation: 3*29=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 3, 99, 94, 64 ]
62
[ "99-3=96", "94+64=158", "158-96=62" ]
Current State: 62:[3, 99, 94, 64], Operations: [] Exploring Operation: 99-3=96, Resulting Numbers: [94, 64, 96] Generated Node #2: [94, 64, 96] from Operation: 99-3=96 Current State: 62:[94, 64, 96], Operations: ['99-3=96'] Exploring Operation: 94+64=158, Resulting Numbers: [96, 158] Generated Node #3: [96, 158] from Operation: 94+64=158 Current State: 62:[96, 158], Operations: ['99-3=96', '94+64=158'] Exploring Operation: 158-96=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 69, 15, 40, 25 ]
19
[ "69+15=84", "40+25=65", "84-65=19" ]
Current State: 19:[69, 15, 40, 25], Operations: [] Exploring Operation: 69+15=84, Resulting Numbers: [40, 25, 84] Generated Node #2: [40, 25, 84] from Operation: 69+15=84 Current State: 19:[40, 25, 84], Operations: ['69+15=84'] Exploring Operation: 40+25=65, Resulting Numbers: [84, 65] Generated Node #3: [84, 65] from Operation: 40+25=65 Current State: 19:[84, 65], Operations: ['69+15=84', '40+25=65'] Exploring Operation: 84-65=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 28, 23, 81, 72 ]
14
[ "28-23=5", "81-72=9", "5+9=14" ]
Current State: 14:[28, 23, 81, 72], Operations: [] Exploring Operation: 28-23=5, Resulting Numbers: [81, 72, 5] Generated Node #2: [81, 72, 5] from Operation: 28-23=5 Current State: 14:[81, 72, 5], Operations: ['28-23=5'] Exploring Operation: 81-72=9, Resulting Numbers: [5, 9] Generated Node #3: [5, 9] from Operation: 81-72=9 Current State: 14:[5, 9], Operations: ['28-23=5', '81-72=9'] Exploring Operation: 5+9=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 40, 36, 12, 5 ]
93
[ "40+36=76", "12+5=17", "76+17=93" ]
Current State: 93:[40, 36, 12, 5], Operations: [] Exploring Operation: 40+36=76, Resulting Numbers: [12, 5, 76] Generated Node #2: [12, 5, 76] from Operation: 40+36=76 Current State: 93:[12, 5, 76], Operations: ['40+36=76'] Exploring Operation: 12+5=17, Resulting Numbers: [76, 17] Generated Node #3: [76, 17] from Operation: 12+5=17 Current State: 93:[76, 17], Operations: ['40+36=76', '12+5=17'] Exploring Operation: 76+17=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 51, 5, 39, 6 ]
79
[ "51-5=46", "39-6=33", "46+33=79" ]
Current State: 79:[51, 5, 39, 6], Operations: [] Exploring Operation: 51-5=46, Resulting Numbers: [39, 6, 46] Generated Node #2: [39, 6, 46] from Operation: 51-5=46 Current State: 79:[39, 6, 46], Operations: ['51-5=46'] Exploring Operation: 39-6=33, Resulting Numbers: [46, 33] Generated Node #3: [46, 33] from Operation: 39-6=33 Current State: 79:[46, 33], Operations: ['51-5=46', '39-6=33'] Exploring Operation: 46+33=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 7, 39, 47, 79 ]
64
[ "39-7=32", "79-47=32", "32+32=64" ]
Current State: 64:[7, 39, 47, 79], Operations: [] Exploring Operation: 39-7=32, Resulting Numbers: [47, 79, 32] Generated Node #2: [47, 79, 32] from Operation: 39-7=32 Current State: 64:[47, 79, 32], Operations: ['39-7=32'] Exploring Operation: 79-47=32, Resulting Numbers: [32, 32] Generated Node #3: [32, 32] from Operation: 79-47=32 Current State: 64:[32, 32], Operations: ['39-7=32', '79-47=32'] Exploring Operation: 32+32=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 32, 34, 66, 3 ]
71
[ "34-32=2", "66+3=69", "2+69=71" ]
Current State: 71:[32, 34, 66, 3], Operations: [] Exploring Operation: 34-32=2, Resulting Numbers: [66, 3, 2] Generated Node #2: [66, 3, 2] from Operation: 34-32=2 Current State: 71:[66, 3, 2], Operations: ['34-32=2'] Exploring Operation: 66+3=69, Resulting Numbers: [2, 69] Generated Node #3: [2, 69] from Operation: 66+3=69 Current State: 71:[2, 69], Operations: ['34-32=2', '66+3=69'] Exploring Operation: 2+69=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 28, 56, 84, 77 ]
63
[ "84/28=3", "77-56=21", "3*21=63" ]
Current State: 63:[28, 56, 84, 77], Operations: [] Exploring Operation: 84/28=3, Resulting Numbers: [56, 77, 3] Generated Node #2: [56, 77, 3] from Operation: 84/28=3 Current State: 63:[56, 77, 3], Operations: ['84/28=3'] Exploring Operation: 77-56=21, Resulting Numbers: [3, 21] Generated Node #3: [3, 21] from Operation: 77-56=21 Current State: 63:[3, 21], Operations: ['84/28=3', '77-56=21'] Exploring Operation: 3*21=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 65, 68, 62, 81 ]
89
[ "68-65=3", "81/3=27", "62+27=89" ]
Current State: 89:[65, 68, 62, 81], Operations: [] Exploring Operation: 68-65=3, Resulting Numbers: [62, 81, 3] Generated Node #2: [62, 81, 3] from Operation: 68-65=3 Current State: 89:[62, 81, 3], Operations: ['68-65=3'] Exploring Operation: 81/3=27, Resulting Numbers: [62, 27] Generated Node #3: [62, 27] from Operation: 81/3=27 Current State: 89:[62, 27], Operations: ['68-65=3', '81/3=27'] Exploring Operation: 62+27=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 2, 35, 61, 54 ]
69
[ "54/2=27", "35+61=96", "96-27=69" ]
Current State: 69:[2, 35, 61, 54], Operations: [] Exploring Operation: 54/2=27, Resulting Numbers: [35, 61, 27] Generated Node #2: [35, 61, 27] from Operation: 54/2=27 Current State: 69:[35, 61, 27], Operations: ['54/2=27'] Exploring Operation: 35+61=96, Resulting Numbers: [27, 96] Generated Node #3: [27, 96] from Operation: 35+61=96 Current State: 69:[27, 96], Operations: ['54/2=27', '35+61=96'] Exploring Operation: 96-27=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 31, 63, 35, 29 ]
53
[ "35-31=4", "29*4=116", "116-63=53" ]
Current State: 53:[31, 63, 35, 29], Operations: [] Exploring Operation: 35-31=4, Resulting Numbers: [63, 29, 4] Generated Node #2: [63, 29, 4] from Operation: 35-31=4 Current State: 53:[63, 29, 4], Operations: ['35-31=4'] Exploring Operation: 29*4=116, Resulting Numbers: [63, 116] Generated Node #3: [63, 116] from Operation: 29*4=116 Current State: 53:[63, 116], Operations: ['35-31=4', '29*4=116'] Exploring Operation: 116-63=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 68, 44, 10, 42 ]
60
[ "68+44=112", "10+42=52", "112-52=60" ]
Current State: 60:[68, 44, 10, 42], Operations: [] Exploring Operation: 68+44=112, Resulting Numbers: [10, 42, 112] Generated Node #2: [10, 42, 112] from Operation: 68+44=112 Current State: 60:[10, 42, 112], Operations: ['68+44=112'] Exploring Operation: 10+42=52, Resulting Numbers: [112, 52] Generated Node #3: [112, 52] from Operation: 10+42=52 Current State: 60:[112, 52], Operations: ['68+44=112', '10+42=52'] Exploring Operation: 112-52=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 55, 25, 63, 41 ]
58
[ "55+25=80", "63-41=22", "80-22=58" ]
Current State: 58:[55, 25, 63, 41], Operations: [] Exploring Operation: 55+25=80, Resulting Numbers: [63, 41, 80] Generated Node #2: [63, 41, 80] from Operation: 55+25=80 Current State: 58:[63, 41, 80], Operations: ['55+25=80'] Exploring Operation: 63-41=22, Resulting Numbers: [80, 22] Generated Node #3: [80, 22] from Operation: 63-41=22 Current State: 58:[80, 22], Operations: ['55+25=80', '63-41=22'] Exploring Operation: 80-22=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 56, 80, 50, 29 ]
10
[ "80-56=24", "29-24=5", "50/5=10" ]
Current State: 10:[56, 80, 50, 29], Operations: [] Exploring Operation: 80-56=24, Resulting Numbers: [50, 29, 24] Generated Node #2: [50, 29, 24] from Operation: 80-56=24 Current State: 10:[50, 29, 24], Operations: ['80-56=24'] Exploring Operation: 29-24=5, Resulting Numbers: [50, 5] Generated Node #3: [50, 5] from Operation: 29-24=5 Current State: 10:[50, 5], Operations: ['80-56=24', '29-24=5'] Exploring Operation: 50/5=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 50, 94, 99, 49 ]
93
[ "99-50=49", "49/49=1", "94-1=93" ]
Current State: 93:[50, 94, 99, 49], Operations: [] Exploring Operation: 99-50=49, Resulting Numbers: [94, 49, 49] Generated Node #2: [94, 49, 49] from Operation: 99-50=49 Current State: 93:[94, 49, 49], Operations: ['99-50=49'] Exploring Operation: 49/49=1, Resulting Numbers: [94, 1] Generated Node #3: [94, 1] from Operation: 49/49=1 Current State: 93:[94, 1], Operations: ['99-50=49', '49/49=1'] Exploring Operation: 94-1=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 38, 3, 38, 14 ]
56
[ "38/38=1", "3+1=4", "14*4=56" ]
Current State: 56:[38, 3, 38, 14], Operations: [] Exploring Operation: 38/38=1, Resulting Numbers: [3, 14, 1] Generated Node #2: [3, 14, 1] from Operation: 38/38=1 Current State: 56:[3, 14, 1], Operations: ['38/38=1'] Exploring Operation: 3+1=4, Resulting Numbers: [14, 4] Generated Node #3: [14, 4] from Operation: 3+1=4 Current State: 56:[14, 4], Operations: ['38/38=1', '3+1=4'] Exploring Operation: 14*4=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 33, 15, 70, 27 ]
85
[ "33*70=2310", "2310-15=2295", "2295/27=85" ]
Current State: 85:[33, 15, 70, 27], Operations: [] Exploring Operation: 33*70=2310, Resulting Numbers: [15, 27, 2310] Generated Node #2: [15, 27, 2310] from Operation: 33*70=2310 Current State: 85:[15, 27, 2310], Operations: ['33*70=2310'] Exploring Operation: 2310-15=2295, Resulting Numbers: [27, 2295] Generated Node #3: [27, 2295] from Operation: 2310-15=2295 Current State: 85:[27, 2295], Operations: ['33*70=2310', '2310-15=2295'] Exploring Operation: 2295/27=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 3, 31, 89, 23 ]
71
[ "31+23=54", "54/3=18", "89-18=71" ]
Current State: 71:[3, 31, 89, 23], Operations: [] Exploring Operation: 31+23=54, Resulting Numbers: [3, 89, 54] Generated Node #2: [3, 89, 54] from Operation: 31+23=54 Current State: 71:[3, 89, 54], Operations: ['31+23=54'] Exploring Operation: 54/3=18, Resulting Numbers: [89, 18] Generated Node #3: [89, 18] from Operation: 54/3=18 Current State: 71:[89, 18], Operations: ['31+23=54', '54/3=18'] Exploring Operation: 89-18=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 78, 90, 86, 27 ]
55
[ "78+90=168", "86+27=113", "168-113=55" ]
Current State: 55:[78, 90, 86, 27], Operations: [] Exploring Operation: 78+90=168, Resulting Numbers: [86, 27, 168] Generated Node #2: [86, 27, 168] from Operation: 78+90=168 Current State: 55:[86, 27, 168], Operations: ['78+90=168'] Exploring Operation: 86+27=113, Resulting Numbers: [168, 113] Generated Node #3: [168, 113] from Operation: 86+27=113 Current State: 55:[168, 113], Operations: ['78+90=168', '86+27=113'] Exploring Operation: 168-113=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 40, 48, 56, 32 ]
50
[ "56-40=16", "32/16=2", "48+2=50" ]
Current State: 50:[40, 48, 56, 32], Operations: [] Exploring Operation: 56-40=16, Resulting Numbers: [48, 32, 16] Generated Node #2: [48, 32, 16] from Operation: 56-40=16 Current State: 50:[48, 32, 16], Operations: ['56-40=16'] Exploring Operation: 32/16=2, Resulting Numbers: [48, 2] Generated Node #3: [48, 2] from Operation: 32/16=2 Current State: 50:[48, 2], Operations: ['56-40=16', '32/16=2'] Exploring Operation: 48+2=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 95, 12, 50, 15 ]
42
[ "95+12=107", "50+15=65", "107-65=42" ]
Current State: 42:[95, 12, 50, 15], Operations: [] Exploring Operation: 95+12=107, Resulting Numbers: [50, 15, 107] Generated Node #2: [50, 15, 107] from Operation: 95+12=107 Current State: 42:[50, 15, 107], Operations: ['95+12=107'] Exploring Operation: 50+15=65, Resulting Numbers: [107, 65] Generated Node #3: [107, 65] from Operation: 50+15=65 Current State: 42:[107, 65], Operations: ['95+12=107', '50+15=65'] Exploring Operation: 107-65=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 23, 15, 13, 17 ]
63
[ "23-17=6", "13*6=78", "78-15=63" ]
Current State: 63:[23, 15, 13, 17], Operations: [] Exploring Operation: 23-17=6, Resulting Numbers: [15, 13, 6] Generated Node #2: [15, 13, 6] from Operation: 23-17=6 Current State: 63:[15, 13, 6], Operations: ['23-17=6'] Exploring Operation: 13*6=78, Resulting Numbers: [15, 78] Generated Node #3: [15, 78] from Operation: 13*6=78 Current State: 63:[15, 78], Operations: ['23-17=6', '13*6=78'] Exploring Operation: 78-15=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 70, 79, 72, 81 ]
18
[ "79-70=9", "81-72=9", "9+9=18" ]
Current State: 18:[70, 79, 72, 81], Operations: [] Exploring Operation: 79-70=9, Resulting Numbers: [72, 81, 9] Generated Node #2: [72, 81, 9] from Operation: 79-70=9 Current State: 18:[72, 81, 9], Operations: ['79-70=9'] Exploring Operation: 81-72=9, Resulting Numbers: [9, 9] Generated Node #3: [9, 9] from Operation: 81-72=9 Current State: 18:[9, 9], Operations: ['79-70=9', '81-72=9'] Exploring Operation: 9+9=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 69, 45, 77, 53 ]
90
[ "69+45=114", "77-53=24", "114-24=90" ]
Current State: 90:[69, 45, 77, 53], Operations: [] Exploring Operation: 69+45=114, Resulting Numbers: [77, 53, 114] Generated Node #2: [77, 53, 114] from Operation: 69+45=114 Current State: 90:[77, 53, 114], Operations: ['69+45=114'] Exploring Operation: 77-53=24, Resulting Numbers: [114, 24] Generated Node #3: [114, 24] from Operation: 77-53=24 Current State: 90:[114, 24], Operations: ['69+45=114', '77-53=24'] Exploring Operation: 114-24=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 32, 92, 47, 5 ]
35
[ "92-32=60", "60/5=12", "47-12=35" ]
Current State: 35:[32, 92, 47, 5], Operations: [] Exploring Operation: 92-32=60, Resulting Numbers: [47, 5, 60] Generated Node #2: [47, 5, 60] from Operation: 92-32=60 Current State: 35:[47, 5, 60], Operations: ['92-32=60'] Exploring Operation: 60/5=12, Resulting Numbers: [47, 12] Generated Node #3: [47, 12] from Operation: 60/5=12 Current State: 35:[47, 12], Operations: ['92-32=60', '60/5=12'] Exploring Operation: 47-12=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 3, 46, 2, 9 ]
42
[ "3+46=49", "9-2=7", "49-7=42" ]
Current State: 42:[3, 46, 2, 9], Operations: [] Exploring Operation: 3+46=49, Resulting Numbers: [2, 9, 49] Generated Node #2: [2, 9, 49] from Operation: 3+46=49 Current State: 42:[2, 9, 49], Operations: ['3+46=49'] Exploring Operation: 9-2=7, Resulting Numbers: [49, 7] Generated Node #3: [49, 7] from Operation: 9-2=7 Current State: 42:[49, 7], Operations: ['3+46=49', '9-2=7'] Exploring Operation: 49-7=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 69, 96, 25, 4 ]
83
[ "96-69=27", "4*27=108", "108-25=83" ]
Current State: 83:[69, 96, 25, 4], Operations: [] Exploring Operation: 96-69=27, Resulting Numbers: [25, 4, 27] Generated Node #2: [25, 4, 27] from Operation: 96-69=27 Current State: 83:[25, 4, 27], Operations: ['96-69=27'] Exploring Operation: 4*27=108, Resulting Numbers: [25, 108] Generated Node #3: [25, 108] from Operation: 4*27=108 Current State: 83:[25, 108], Operations: ['96-69=27', '4*27=108'] Exploring Operation: 108-25=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 44, 80, 4, 63 ]
94
[ "44+80=124", "124/4=31", "63+31=94" ]
Current State: 94:[44, 80, 4, 63], Operations: [] Exploring Operation: 44+80=124, Resulting Numbers: [4, 63, 124] Generated Node #2: [4, 63, 124] from Operation: 44+80=124 Current State: 94:[4, 63, 124], Operations: ['44+80=124'] Exploring Operation: 124/4=31, Resulting Numbers: [63, 31] Generated Node #3: [63, 31] from Operation: 124/4=31 Current State: 94:[63, 31], Operations: ['44+80=124', '124/4=31'] Exploring Operation: 63+31=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 32, 36, 39, 3 ]
31
[ "39-36=3", "3/3=1", "32-1=31" ]
Current State: 31:[32, 36, 39, 3], Operations: [] Exploring Operation: 39-36=3, Resulting Numbers: [32, 3, 3] Generated Node #2: [32, 3, 3] from Operation: 39-36=3 Current State: 31:[32, 3, 3], Operations: ['39-36=3'] Exploring Operation: 3/3=1, Resulting Numbers: [32, 1] Generated Node #3: [32, 1] from Operation: 3/3=1 Current State: 31:[32, 1], Operations: ['39-36=3', '3/3=1'] Exploring Operation: 32-1=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 30, 15, 36, 17 ]
73
[ "36-30=6", "15*6=90", "90-17=73" ]
Current State: 73:[30, 15, 36, 17], Operations: [] Exploring Operation: 36-30=6, Resulting Numbers: [15, 17, 6] Generated Node #2: [15, 17, 6] from Operation: 36-30=6 Current State: 73:[15, 17, 6], Operations: ['36-30=6'] Exploring Operation: 15*6=90, Resulting Numbers: [17, 90] Generated Node #3: [17, 90] from Operation: 15*6=90 Current State: 73:[17, 90], Operations: ['36-30=6', '15*6=90'] Exploring Operation: 90-17=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 90, 2, 9, 6 ]
12
[ "90*2=180", "9+6=15", "180/15=12" ]
Current State: 12:[90, 2, 9, 6], Operations: [] Exploring Operation: 90*2=180, Resulting Numbers: [9, 6, 180] Generated Node #2: [9, 6, 180] from Operation: 90*2=180 Current State: 12:[9, 6, 180], Operations: ['90*2=180'] Exploring Operation: 9+6=15, Resulting Numbers: [180, 15] Generated Node #3: [180, 15] from Operation: 9+6=15 Current State: 12:[180, 15], Operations: ['90*2=180', '9+6=15'] Exploring Operation: 180/15=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 3, 70, 27, 36 ]
74
[ "27/3=9", "36/9=4", "70+4=74" ]
Current State: 74:[3, 70, 27, 36], Operations: [] Exploring Operation: 27/3=9, Resulting Numbers: [70, 36, 9] Generated Node #2: [70, 36, 9] from Operation: 27/3=9 Current State: 74:[70, 36, 9], Operations: ['27/3=9'] Exploring Operation: 36/9=4, Resulting Numbers: [70, 4] Generated Node #3: [70, 4] from Operation: 36/9=4 Current State: 74:[70, 4], Operations: ['27/3=9', '36/9=4'] Exploring Operation: 70+4=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 9, 3, 83, 72 ]
77
[ "9+3=12", "72/12=6", "83-6=77" ]
Current State: 77:[9, 3, 83, 72], Operations: [] Exploring Operation: 9+3=12, Resulting Numbers: [83, 72, 12] Generated Node #2: [83, 72, 12] from Operation: 9+3=12 Current State: 77:[83, 72, 12], Operations: ['9+3=12'] Exploring Operation: 72/12=6, Resulting Numbers: [83, 6] Generated Node #3: [83, 6] from Operation: 72/12=6 Current State: 77:[83, 6], Operations: ['9+3=12', '72/12=6'] Exploring Operation: 83-6=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 49, 17, 61, 67 ]
62
[ "49+17=66", "61+67=128", "128-66=62" ]
Current State: 62:[49, 17, 61, 67], Operations: [] Exploring Operation: 49+17=66, Resulting Numbers: [61, 67, 66] Generated Node #2: [61, 67, 66] from Operation: 49+17=66 Current State: 62:[61, 67, 66], Operations: ['49+17=66'] Exploring Operation: 61+67=128, Resulting Numbers: [66, 128] Generated Node #3: [66, 128] from Operation: 61+67=128 Current State: 62:[66, 128], Operations: ['49+17=66', '61+67=128'] Exploring Operation: 128-66=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 64, 65, 47, 3 ]
16
[ "65-64=1", "47+1=48", "48/3=16" ]
Current State: 16:[64, 65, 47, 3], Operations: [] Exploring Operation: 65-64=1, Resulting Numbers: [47, 3, 1] Generated Node #2: [47, 3, 1] from Operation: 65-64=1 Current State: 16:[47, 3, 1], Operations: ['65-64=1'] Exploring Operation: 47+1=48, Resulting Numbers: [3, 48] Generated Node #3: [3, 48] from Operation: 47+1=48 Current State: 16:[3, 48], Operations: ['65-64=1', '47+1=48'] Exploring Operation: 48/3=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 1, 37, 35, 91 ]
19
[ "1*37=37", "91-35=56", "56-37=19" ]
Current State: 19:[1, 37, 35, 91], Operations: [] Exploring Operation: 1*37=37, Resulting Numbers: [35, 91, 37] Generated Node #2: [35, 91, 37] from Operation: 1*37=37 Current State: 19:[35, 91, 37], Operations: ['1*37=37'] Exploring Operation: 91-35=56, Resulting Numbers: [37, 56] Generated Node #3: [37, 56] from Operation: 91-35=56 Current State: 19:[37, 56], Operations: ['1*37=37', '91-35=56'] Exploring Operation: 56-37=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 39, 29, 38, 51 ]
55
[ "39+29=68", "51-38=13", "68-13=55" ]
Current State: 55:[39, 29, 38, 51], Operations: [] Exploring Operation: 39+29=68, Resulting Numbers: [38, 51, 68] Generated Node #2: [38, 51, 68] from Operation: 39+29=68 Current State: 55:[38, 51, 68], Operations: ['39+29=68'] Exploring Operation: 51-38=13, Resulting Numbers: [68, 13] Generated Node #3: [68, 13] from Operation: 51-38=13 Current State: 55:[68, 13], Operations: ['39+29=68', '51-38=13'] Exploring Operation: 68-13=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 68, 12, 87, 38 ]
31
[ "68+12=80", "87-38=49", "80-49=31" ]
Current State: 31:[68, 12, 87, 38], Operations: [] Exploring Operation: 68+12=80, Resulting Numbers: [87, 38, 80] Generated Node #2: [87, 38, 80] from Operation: 68+12=80 Current State: 31:[87, 38, 80], Operations: ['68+12=80'] Exploring Operation: 87-38=49, Resulting Numbers: [80, 49] Generated Node #3: [80, 49] from Operation: 87-38=49 Current State: 31:[80, 49], Operations: ['68+12=80', '87-38=49'] Exploring Operation: 80-49=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 7, 71, 32, 92 ]
94
[ "71-7=64", "64/32=2", "92+2=94" ]
Current State: 94:[7, 71, 32, 92], Operations: [] Exploring Operation: 71-7=64, Resulting Numbers: [32, 92, 64] Generated Node #2: [32, 92, 64] from Operation: 71-7=64 Current State: 94:[32, 92, 64], Operations: ['71-7=64'] Exploring Operation: 64/32=2, Resulting Numbers: [92, 2] Generated Node #3: [92, 2] from Operation: 64/32=2 Current State: 94:[92, 2], Operations: ['71-7=64', '64/32=2'] Exploring Operation: 92+2=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 6, 4, 14, 68 ]
15
[ "14-6=8", "68-8=60", "60/4=15" ]
Current State: 15:[6, 4, 14, 68], Operations: [] Exploring Operation: 14-6=8, Resulting Numbers: [4, 68, 8] Generated Node #2: [4, 68, 8] from Operation: 14-6=8 Current State: 15:[4, 68, 8], Operations: ['14-6=8'] Exploring Operation: 68-8=60, Resulting Numbers: [4, 60] Generated Node #3: [4, 60] from Operation: 68-8=60 Current State: 15:[4, 60], Operations: ['14-6=8', '68-8=60'] Exploring Operation: 60/4=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 89, 37, 36, 38 ]
15
[ "38-36=2", "37*2=74", "89-74=15" ]
Current State: 15:[89, 37, 36, 38], Operations: [] Exploring Operation: 38-36=2, Resulting Numbers: [89, 37, 2] Generated Node #2: [89, 37, 2] from Operation: 38-36=2 Current State: 15:[89, 37, 2], Operations: ['38-36=2'] Exploring Operation: 37*2=74, Resulting Numbers: [89, 74] Generated Node #3: [89, 74] from Operation: 37*2=74 Current State: 15:[89, 74], Operations: ['38-36=2', '37*2=74'] Exploring Operation: 89-74=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 10, 16, 81, 2 ]
73
[ "16-10=6", "81-2=79", "79-6=73" ]
Current State: 73:[10, 16, 81, 2], Operations: [] Exploring Operation: 16-10=6, Resulting Numbers: [81, 2, 6] Generated Node #2: [81, 2, 6] from Operation: 16-10=6 Current State: 73:[81, 2, 6], Operations: ['16-10=6'] Exploring Operation: 81-2=79, Resulting Numbers: [6, 79] Generated Node #3: [6, 79] from Operation: 81-2=79 Current State: 73:[6, 79], Operations: ['16-10=6', '81-2=79'] Exploring Operation: 79-6=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 23, 2, 82, 62 ]
90
[ "82-23=59", "62/2=31", "59+31=90" ]
Current State: 90:[23, 2, 82, 62], Operations: [] Exploring Operation: 82-23=59, Resulting Numbers: [2, 62, 59] Generated Node #2: [2, 62, 59] from Operation: 82-23=59 Current State: 90:[2, 62, 59], Operations: ['82-23=59'] Exploring Operation: 62/2=31, Resulting Numbers: [59, 31] Generated Node #3: [59, 31] from Operation: 62/2=31 Current State: 90:[59, 31], Operations: ['82-23=59', '62/2=31'] Exploring Operation: 59+31=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 56, 58, 6, 80 ]
70
[ "56*80=4480", "58+6=64", "4480/64=70" ]
Current State: 70:[56, 58, 6, 80], Operations: [] Exploring Operation: 56*80=4480, Resulting Numbers: [58, 6, 4480] Generated Node #2: [58, 6, 4480] from Operation: 56*80=4480 Current State: 70:[58, 6, 4480], Operations: ['56*80=4480'] Exploring Operation: 58+6=64, Resulting Numbers: [4480, 64] Generated Node #3: [4480, 64] from Operation: 58+6=64 Current State: 70:[4480, 64], Operations: ['56*80=4480', '58+6=64'] Exploring Operation: 4480/64=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 4, 34, 12, 6 ]
13
[ "34+12=46", "6+46=52", "52/4=13" ]
Current State: 13:[4, 34, 12, 6], Operations: [] Exploring Operation: 34+12=46, Resulting Numbers: [4, 6, 46] Generated Node #2: [4, 6, 46] from Operation: 34+12=46 Current State: 13:[4, 6, 46], Operations: ['34+12=46'] Exploring Operation: 6+46=52, Resulting Numbers: [4, 52] Generated Node #3: [4, 52] from Operation: 6+46=52 Current State: 13:[4, 52], Operations: ['34+12=46', '6+46=52'] Exploring Operation: 52/4=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 21, 22, 22, 73 ]
96
[ "22-21=1", "22+73=95", "1+95=96" ]
Current State: 96:[21, 22, 22, 73], Operations: [] Exploring Operation: 22-21=1, Resulting Numbers: [73, 1] Generated Node #2: [73, 1] from Operation: 22-21=1 Current State: 96:[73, 1], Operations: ['22-21=1'] Exploring Operation: 22+73=95, Resulting Numbers: [1, 95] Generated Node #3: [1, 95] from Operation: 22+73=95 Current State: 96:[1, 95], Operations: ['22-21=1', '22+73=95'] Exploring Operation: 1+95=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 56, 8, 2, 53 ]
42
[ "56+8=64", "2*53=106", "106-64=42" ]
Current State: 42:[56, 8, 2, 53], Operations: [] Exploring Operation: 56+8=64, Resulting Numbers: [2, 53, 64] Generated Node #2: [2, 53, 64] from Operation: 56+8=64 Current State: 42:[2, 53, 64], Operations: ['56+8=64'] Exploring Operation: 2*53=106, Resulting Numbers: [64, 106] Generated Node #3: [64, 106] from Operation: 2*53=106 Current State: 42:[64, 106], Operations: ['56+8=64', '2*53=106'] Exploring Operation: 106-64=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 70, 4, 10, 20 ]
56
[ "70-4=66", "20-10=10", "66-10=56" ]
Current State: 56:[70, 4, 10, 20], Operations: [] Exploring Operation: 70-4=66, Resulting Numbers: [10, 20, 66] Generated Node #2: [10, 20, 66] from Operation: 70-4=66 Current State: 56:[10, 20, 66], Operations: ['70-4=66'] Exploring Operation: 20-10=10, Resulting Numbers: [66, 10] Generated Node #3: [66, 10] from Operation: 20-10=10 Current State: 56:[66, 10], Operations: ['70-4=66', '20-10=10'] Exploring Operation: 66-10=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 76, 99, 45, 41 ]
63
[ "99-76=23", "45+41=86", "86-23=63" ]
Current State: 63:[76, 99, 45, 41], Operations: [] Exploring Operation: 99-76=23, Resulting Numbers: [45, 41, 23] Generated Node #2: [45, 41, 23] from Operation: 99-76=23 Current State: 63:[45, 41, 23], Operations: ['99-76=23'] Exploring Operation: 45+41=86, Resulting Numbers: [23, 86] Generated Node #3: [23, 86] from Operation: 45+41=86 Current State: 63:[23, 86], Operations: ['99-76=23', '45+41=86'] Exploring Operation: 86-23=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 10, 81, 82, 64 ]
73
[ "10+81=91", "82-64=18", "91-18=73" ]
Current State: 73:[10, 81, 82, 64], Operations: [] Exploring Operation: 10+81=91, Resulting Numbers: [82, 64, 91] Generated Node #2: [82, 64, 91] from Operation: 10+81=91 Current State: 73:[82, 64, 91], Operations: ['10+81=91'] Exploring Operation: 82-64=18, Resulting Numbers: [91, 18] Generated Node #3: [91, 18] from Operation: 82-64=18 Current State: 73:[91, 18], Operations: ['10+81=91', '82-64=18'] Exploring Operation: 91-18=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 89, 9, 68, 35 ]
23
[ "89-9=80", "68+35=103", "103-80=23" ]
Current State: 23:[89, 9, 68, 35], Operations: [] Exploring Operation: 89-9=80, Resulting Numbers: [68, 35, 80] Generated Node #2: [68, 35, 80] from Operation: 89-9=80 Current State: 23:[68, 35, 80], Operations: ['89-9=80'] Exploring Operation: 68+35=103, Resulting Numbers: [80, 103] Generated Node #3: [80, 103] from Operation: 68+35=103 Current State: 23:[80, 103], Operations: ['89-9=80', '68+35=103'] Exploring Operation: 103-80=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4