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
[ 64, 2, 59, 45 ]
100
[ "64-59=5", "45+5=50", "2*50=100" ]
Current State: 100:[64, 2, 59, 45], Operations: [] Exploring Operation: 64-59=5, Resulting Numbers: [2, 45, 5] Generated Node #2: [2, 45, 5] from Operation: 64-59=5 Current State: 100:[2, 45, 5], Operations: ['64-59=5'] Exploring Operation: 45+5=50, Resulting Numbers: [2, 50] Generated Node #3: [2, 50] from Operation: 45+5=50 Current State: 100:[2, 50], Operations: ['64-59=5', '45+5=50'] Exploring Operation: 2*50=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 9, 7, 29, 18 ]
24
[ "18/9=2", "29-7=22", "2+22=24" ]
Current State: 24:[9, 7, 29, 18], Operations: [] Exploring Operation: 18/9=2, Resulting Numbers: [7, 29, 2] Generated Node #2: [7, 29, 2] from Operation: 18/9=2 Current State: 24:[7, 29, 2], Operations: ['18/9=2'] Exploring Operation: 29-7=22, Resulting Numbers: [2, 22] Generated Node #3: [2, 22] from Operation: 29-7=22 Current State: 24:[2, 22], Operations: ['18/9=2', '29-7=22'] Exploring Operation: 2+22=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 2, 28, 89, 96 ]
37
[ "2+28=30", "96-89=7", "30+7=37" ]
Current State: 37:[2, 28, 89, 96], Operations: [] Exploring Operation: 2+28=30, Resulting Numbers: [89, 96, 30] Generated Node #2: [89, 96, 30] from Operation: 2+28=30 Current State: 37:[89, 96, 30], Operations: ['2+28=30'] Exploring Operation: 96-89=7, Resulting Numbers: [30, 7] Generated Node #3: [30, 7] from Operation: 96-89=7 Current State: 37:[30, 7], Operations: ['2+28=30', '96-89=7'] Exploring Operation: 30+7=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 3, 7, 21, 17 ]
95
[ "3+21=24", "7*17=119", "119-24=95" ]
Current State: 95:[3, 7, 21, 17], Operations: [] Exploring Operation: 3+21=24, Resulting Numbers: [7, 17, 24] Generated Node #2: [7, 17, 24] from Operation: 3+21=24 Current State: 95:[7, 17, 24], Operations: ['3+21=24'] Exploring Operation: 7*17=119, Resulting Numbers: [24, 119] Generated Node #3: [24, 119] from Operation: 7*17=119 Current State: 95:[24, 119], Operations: ['3+21=24', '7*17=119'] Exploring Operation: 119-24=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 33, 51, 48, 78 ]
89
[ "51-48=3", "33/3=11", "78+11=89" ]
Current State: 89:[33, 51, 48, 78], Operations: [] Exploring Operation: 51-48=3, Resulting Numbers: [33, 78, 3] Generated Node #2: [33, 78, 3] from Operation: 51-48=3 Current State: 89:[33, 78, 3], Operations: ['51-48=3'] Exploring Operation: 33/3=11, Resulting Numbers: [78, 11] Generated Node #3: [78, 11] from Operation: 33/3=11 Current State: 89:[78, 11], Operations: ['51-48=3', '33/3=11'] Exploring Operation: 78+11=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 98, 9, 12, 4 ]
86
[ "98-9=89", "12/4=3", "89-3=86" ]
Current State: 86:[98, 9, 12, 4], Operations: [] Exploring Operation: 98-9=89, Resulting Numbers: [12, 4, 89] Generated Node #2: [12, 4, 89] from Operation: 98-9=89 Current State: 86:[12, 4, 89], Operations: ['98-9=89'] Exploring Operation: 12/4=3, Resulting Numbers: [89, 3] Generated Node #3: [89, 3] from Operation: 12/4=3 Current State: 86:[89, 3], Operations: ['98-9=89', '12/4=3'] Exploring Operation: 89-3=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 2, 98, 25, 23 ]
71
[ "2*25=50", "98+23=121", "121-50=71" ]
Current State: 71:[2, 98, 25, 23], Operations: [] Exploring Operation: 2*25=50, Resulting Numbers: [98, 23, 50] Generated Node #2: [98, 23, 50] from Operation: 2*25=50 Current State: 71:[98, 23, 50], Operations: ['2*25=50'] Exploring Operation: 98+23=121, Resulting Numbers: [50, 121] Generated Node #3: [50, 121] from Operation: 98+23=121 Current State: 71:[50, 121], Operations: ['2*25=50', '98+23=121'] Exploring Operation: 121-50=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 82, 21, 41, 63 ]
40
[ "82/41=2", "63-21=42", "42-2=40" ]
Current State: 40:[82, 21, 41, 63], Operations: [] Exploring Operation: 82/41=2, Resulting Numbers: [21, 63, 2] Generated Node #2: [21, 63, 2] from Operation: 82/41=2 Current State: 40:[21, 63, 2], Operations: ['82/41=2'] Exploring Operation: 63-21=42, Resulting Numbers: [2, 42] Generated Node #3: [2, 42] from Operation: 63-21=42 Current State: 40:[2, 42], Operations: ['82/41=2', '63-21=42'] Exploring Operation: 42-2=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 1, 65, 16, 67 ]
32
[ "1*65=65", "67-65=2", "16*2=32" ]
Current State: 32:[1, 65, 16, 67], Operations: [] Exploring Operation: 1*65=65, Resulting Numbers: [16, 67, 65] Generated Node #2: [16, 67, 65] from Operation: 1*65=65 Current State: 32:[16, 67, 65], Operations: ['1*65=65'] Exploring Operation: 67-65=2, Resulting Numbers: [16, 2] Generated Node #3: [16, 2] from Operation: 67-65=2 Current State: 32:[16, 2], Operations: ['1*65=65', '67-65=2'] Exploring Operation: 16*2=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 73, 24, 12, 28 ]
70
[ "28-24=4", "12/4=3", "73-3=70" ]
Current State: 70:[73, 24, 12, 28], Operations: [] Exploring Operation: 28-24=4, Resulting Numbers: [73, 12, 4] Generated Node #2: [73, 12, 4] from Operation: 28-24=4 Current State: 70:[73, 12, 4], Operations: ['28-24=4'] Exploring Operation: 12/4=3, Resulting Numbers: [73, 3] Generated Node #3: [73, 3] from Operation: 12/4=3 Current State: 70:[73, 3], Operations: ['28-24=4', '12/4=3'] Exploring Operation: 73-3=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 65, 38, 79, 26 ]
50
[ "65+38=103", "79-26=53", "103-53=50" ]
Current State: 50:[65, 38, 79, 26], Operations: [] Exploring Operation: 65+38=103, Resulting Numbers: [79, 26, 103] Generated Node #2: [79, 26, 103] from Operation: 65+38=103 Current State: 50:[79, 26, 103], Operations: ['65+38=103'] Exploring Operation: 79-26=53, Resulting Numbers: [103, 53] Generated Node #3: [103, 53] from Operation: 79-26=53 Current State: 50:[103, 53], Operations: ['65+38=103', '79-26=53'] Exploring Operation: 103-53=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 7, 15, 95, 28 ]
45
[ "7+15=22", "95-28=67", "67-22=45" ]
Current State: 45:[7, 15, 95, 28], Operations: [] Exploring Operation: 7+15=22, Resulting Numbers: [95, 28, 22] Generated Node #2: [95, 28, 22] from Operation: 7+15=22 Current State: 45:[95, 28, 22], Operations: ['7+15=22'] Exploring Operation: 95-28=67, Resulting Numbers: [22, 67] Generated Node #3: [22, 67] from Operation: 95-28=67 Current State: 45:[22, 67], Operations: ['7+15=22', '95-28=67'] Exploring Operation: 67-22=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 75, 10, 80, 70 ]
90
[ "80+70=150", "150/10=15", "75+15=90" ]
Current State: 90:[75, 10, 80, 70], Operations: [] Exploring Operation: 80+70=150, Resulting Numbers: [75, 10, 150] Generated Node #2: [75, 10, 150] from Operation: 80+70=150 Current State: 90:[75, 10, 150], Operations: ['80+70=150'] Exploring Operation: 150/10=15, Resulting Numbers: [75, 15] Generated Node #3: [75, 15] from Operation: 150/10=15 Current State: 90:[75, 15], Operations: ['80+70=150', '150/10=15'] Exploring Operation: 75+15=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 36, 6, 62, 53 ]
39
[ "36-6=30", "62-53=9", "30+9=39" ]
Current State: 39:[36, 6, 62, 53], Operations: [] Exploring Operation: 36-6=30, Resulting Numbers: [62, 53, 30] Generated Node #2: [62, 53, 30] from Operation: 36-6=30 Current State: 39:[62, 53, 30], Operations: ['36-6=30'] Exploring Operation: 62-53=9, Resulting Numbers: [30, 9] Generated Node #3: [30, 9] from Operation: 62-53=9 Current State: 39:[30, 9], Operations: ['36-6=30', '62-53=9'] Exploring Operation: 30+9=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 98, 98, 32, 45 ]
77
[ "98-98=0", "32+45=77", "0+77=77" ]
Current State: 77:[98, 98, 32, 45], Operations: [] Exploring Operation: 98-98=0, Resulting Numbers: [32, 45, 0] Generated Node #2: [32, 45, 0] from Operation: 98-98=0 Current State: 77:[32, 45, 0], Operations: ['98-98=0'] Exploring Operation: 32+45=77, Resulting Numbers: [0, 77] Generated Node #3: [0, 77] from Operation: 32+45=77 Current State: 77:[0, 77], Operations: ['98-98=0', '32+45=77'] Exploring Operation: 0+77=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 4, 66, 57, 42 ]
77
[ "66-4=62", "57-42=15", "62+15=77" ]
Current State: 77:[4, 66, 57, 42], Operations: [] Exploring Operation: 66-4=62, Resulting Numbers: [57, 42, 62] Generated Node #2: [57, 42, 62] from Operation: 66-4=62 Current State: 77:[57, 42, 62], Operations: ['66-4=62'] Exploring Operation: 57-42=15, Resulting Numbers: [62, 15] Generated Node #3: [62, 15] from Operation: 57-42=15 Current State: 77:[62, 15], Operations: ['66-4=62', '57-42=15'] Exploring Operation: 62+15=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 16, 54, 34, 49 ]
10
[ "16+34=50", "54-49=5", "50/5=10" ]
Current State: 10:[16, 54, 34, 49], Operations: [] Exploring Operation: 16+34=50, Resulting Numbers: [54, 49, 50] Generated Node #2: [54, 49, 50] from Operation: 16+34=50 Current State: 10:[54, 49, 50], Operations: ['16+34=50'] Exploring Operation: 54-49=5, Resulting Numbers: [50, 5] Generated Node #3: [50, 5] from Operation: 54-49=5 Current State: 10:[50, 5], Operations: ['16+34=50', '54-49=5'] Exploring Operation: 50/5=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 19, 19, 46, 1 ]
46
[ "19-19=0", "46*1=46", "0+46=46" ]
Current State: 46:[19, 19, 46, 1], Operations: [] Exploring Operation: 19-19=0, Resulting Numbers: [46, 1, 0] Generated Node #2: [46, 1, 0] from Operation: 19-19=0 Current State: 46:[46, 1, 0], Operations: ['19-19=0'] Exploring Operation: 46*1=46, Resulting Numbers: [0, 46] Generated Node #3: [0, 46] from Operation: 46*1=46 Current State: 46:[0, 46], Operations: ['19-19=0', '46*1=46'] Exploring Operation: 0+46=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 46, 78, 88, 80 ]
24
[ "78-46=32", "88-80=8", "32-8=24" ]
Current State: 24:[46, 78, 88, 80], Operations: [] Exploring Operation: 78-46=32, Resulting Numbers: [88, 80, 32] Generated Node #2: [88, 80, 32] from Operation: 78-46=32 Current State: 24:[88, 80, 32], Operations: ['78-46=32'] Exploring Operation: 88-80=8, Resulting Numbers: [32, 8] Generated Node #3: [32, 8] from Operation: 88-80=8 Current State: 24:[32, 8], Operations: ['78-46=32', '88-80=8'] Exploring Operation: 32-8=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 92, 27, 55, 94 ]
84
[ "92-27=65", "55+94=149", "149-65=84" ]
Current State: 84:[92, 27, 55, 94], Operations: [] Exploring Operation: 92-27=65, Resulting Numbers: [55, 94, 65] Generated Node #2: [55, 94, 65] from Operation: 92-27=65 Current State: 84:[55, 94, 65], Operations: ['92-27=65'] Exploring Operation: 55+94=149, Resulting Numbers: [65, 149] Generated Node #3: [65, 149] from Operation: 55+94=149 Current State: 84:[65, 149], Operations: ['92-27=65', '55+94=149'] Exploring Operation: 149-65=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 16, 89, 40, 39 ]
72
[ "89-16=73", "40-39=1", "73-1=72" ]
Current State: 72:[16, 89, 40, 39], Operations: [] Exploring Operation: 89-16=73, Resulting Numbers: [40, 39, 73] Generated Node #2: [40, 39, 73] from Operation: 89-16=73 Current State: 72:[40, 39, 73], Operations: ['89-16=73'] Exploring Operation: 40-39=1, Resulting Numbers: [73, 1] Generated Node #3: [73, 1] from Operation: 40-39=1 Current State: 72:[73, 1], Operations: ['89-16=73', '40-39=1'] Exploring Operation: 73-1=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 28, 21, 39, 56 ]
47
[ "28-21=7", "56/7=8", "39+8=47" ]
Current State: 47:[28, 21, 39, 56], Operations: [] Exploring Operation: 28-21=7, Resulting Numbers: [39, 56, 7] Generated Node #2: [39, 56, 7] from Operation: 28-21=7 Current State: 47:[39, 56, 7], Operations: ['28-21=7'] Exploring Operation: 56/7=8, Resulting Numbers: [39, 8] Generated Node #3: [39, 8] from Operation: 56/7=8 Current State: 47:[39, 8], Operations: ['28-21=7', '56/7=8'] Exploring Operation: 39+8=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 31, 47, 48, 17 ]
30
[ "31*47=1457", "1457-17=1440", "1440/48=30" ]
Current State: 30:[31, 47, 48, 17], Operations: [] Exploring Operation: 31*47=1457, Resulting Numbers: [48, 17, 1457] Generated Node #2: [48, 17, 1457] from Operation: 31*47=1457 Current State: 30:[48, 17, 1457], Operations: ['31*47=1457'] Exploring Operation: 1457-17=1440, Resulting Numbers: [48, 1440] Generated Node #3: [48, 1440] from Operation: 1457-17=1440 Current State: 30:[48, 1440], Operations: ['31*47=1457', '1457-17=1440'] Exploring Operation: 1440/48=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 98, 21, 40, 13 ]
93
[ "21-13=8", "40/8=5", "98-5=93" ]
Current State: 93:[98, 21, 40, 13], Operations: [] Exploring Operation: 21-13=8, Resulting Numbers: [98, 40, 8] Generated Node #2: [98, 40, 8] from Operation: 21-13=8 Current State: 93:[98, 40, 8], Operations: ['21-13=8'] Exploring Operation: 40/8=5, Resulting Numbers: [98, 5] Generated Node #3: [98, 5] from Operation: 40/8=5 Current State: 93:[98, 5], Operations: ['21-13=8', '40/8=5'] Exploring Operation: 98-5=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 30, 24, 2, 14 ]
23
[ "30/2=15", "24+14=38", "38-15=23" ]
Current State: 23:[30, 24, 2, 14], Operations: [] Exploring Operation: 30/2=15, Resulting Numbers: [24, 14, 15] Generated Node #2: [24, 14, 15] from Operation: 30/2=15 Current State: 23:[24, 14, 15], Operations: ['30/2=15'] Exploring Operation: 24+14=38, Resulting Numbers: [15, 38] Generated Node #3: [15, 38] from Operation: 24+14=38 Current State: 23:[15, 38], Operations: ['30/2=15', '24+14=38'] Exploring Operation: 38-15=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 52, 11, 91, 24 ]
26
[ "52-11=41", "91-24=67", "67-41=26" ]
Current State: 26:[52, 11, 91, 24], Operations: [] Exploring Operation: 52-11=41, Resulting Numbers: [91, 24, 41] Generated Node #2: [91, 24, 41] from Operation: 52-11=41 Current State: 26:[91, 24, 41], Operations: ['52-11=41'] Exploring Operation: 91-24=67, Resulting Numbers: [41, 67] Generated Node #3: [41, 67] from Operation: 91-24=67 Current State: 26:[41, 67], Operations: ['52-11=41', '91-24=67'] Exploring Operation: 67-41=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 49, 67, 46, 94 ]
81
[ "49-46=3", "94-67=27", "3*27=81" ]
Current State: 81:[49, 67, 46, 94], Operations: [] Exploring Operation: 49-46=3, Resulting Numbers: [67, 94, 3] Generated Node #2: [67, 94, 3] from Operation: 49-46=3 Current State: 81:[67, 94, 3], Operations: ['49-46=3'] Exploring Operation: 94-67=27, Resulting Numbers: [3, 27] Generated Node #3: [3, 27] from Operation: 94-67=27 Current State: 81:[3, 27], Operations: ['49-46=3', '94-67=27'] Exploring Operation: 3*27=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 25, 85, 41, 68 ]
87
[ "85-25=60", "68-41=27", "60+27=87" ]
Current State: 87:[25, 85, 41, 68], Operations: [] Exploring Operation: 85-25=60, Resulting Numbers: [41, 68, 60] Generated Node #2: [41, 68, 60] from Operation: 85-25=60 Current State: 87:[41, 68, 60], Operations: ['85-25=60'] Exploring Operation: 68-41=27, Resulting Numbers: [60, 27] Generated Node #3: [60, 27] from Operation: 68-41=27 Current State: 87:[60, 27], Operations: ['85-25=60', '68-41=27'] Exploring Operation: 60+27=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 87, 98, 84, 1 ]
73
[ "98-87=11", "84*1=84", "84-11=73" ]
Current State: 73:[87, 98, 84, 1], Operations: [] Exploring Operation: 98-87=11, Resulting Numbers: [84, 1, 11] Generated Node #2: [84, 1, 11] from Operation: 98-87=11 Current State: 73:[84, 1, 11], Operations: ['98-87=11'] Exploring Operation: 84*1=84, Resulting Numbers: [11, 84] Generated Node #3: [11, 84] from Operation: 84*1=84 Current State: 73:[11, 84], Operations: ['98-87=11', '84*1=84'] Exploring Operation: 84-11=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 55, 66, 2, 42 ]
70
[ "55*2=110", "42*110=4620", "4620/66=70" ]
Current State: 70:[55, 66, 2, 42], Operations: [] Exploring Operation: 55*2=110, Resulting Numbers: [66, 42, 110] Generated Node #2: [66, 42, 110] from Operation: 55*2=110 Current State: 70:[66, 42, 110], Operations: ['55*2=110'] Exploring Operation: 42*110=4620, Resulting Numbers: [66, 4620] Generated Node #3: [66, 4620] from Operation: 42*110=4620 Current State: 70:[66, 4620], Operations: ['55*2=110', '42*110=4620'] Exploring Operation: 4620/66=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 88, 27, 86, 74 ]
80
[ "88+74=162", "162/27=6", "86-6=80" ]
Current State: 80:[88, 27, 86, 74], Operations: [] Exploring Operation: 88+74=162, Resulting Numbers: [27, 86, 162] Generated Node #2: [27, 86, 162] from Operation: 88+74=162 Current State: 80:[27, 86, 162], Operations: ['88+74=162'] Exploring Operation: 162/27=6, Resulting Numbers: [86, 6] Generated Node #3: [86, 6] from Operation: 162/27=6 Current State: 80:[86, 6], Operations: ['88+74=162', '162/27=6'] Exploring Operation: 86-6=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 71, 2, 58, 34 ]
50
[ "71*2=142", "58+34=92", "142-92=50" ]
Current State: 50:[71, 2, 58, 34], Operations: [] Exploring Operation: 71*2=142, Resulting Numbers: [58, 34, 142] Generated Node #2: [58, 34, 142] from Operation: 71*2=142 Current State: 50:[58, 34, 142], Operations: ['71*2=142'] Exploring Operation: 58+34=92, Resulting Numbers: [142, 92] Generated Node #3: [142, 92] from Operation: 58+34=92 Current State: 50:[142, 92], Operations: ['71*2=142', '58+34=92'] Exploring Operation: 142-92=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 75, 22, 24, 68 ]
18
[ "75*22=1650", "24*68=1632", "1650-1632=18" ]
Current State: 18:[75, 22, 24, 68], Operations: [] Exploring Operation: 75*22=1650, Resulting Numbers: [24, 68, 1650] Generated Node #2: [24, 68, 1650] from Operation: 75*22=1650 Current State: 18:[24, 68, 1650], Operations: ['75*22=1650'] Exploring Operation: 24*68=1632, Resulting Numbers: [1650, 1632] Generated Node #3: [1650, 1632] from Operation: 24*68=1632 Current State: 18:[1650, 1632], Operations: ['75*22=1650', '24*68=1632'] Exploring Operation: 1650-1632=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 11, 76, 5, 51 ]
19
[ "76-11=65", "51-5=46", "65-46=19" ]
Current State: 19:[11, 76, 5, 51], Operations: [] Exploring Operation: 76-11=65, Resulting Numbers: [5, 51, 65] Generated Node #2: [5, 51, 65] from Operation: 76-11=65 Current State: 19:[5, 51, 65], Operations: ['76-11=65'] Exploring Operation: 51-5=46, Resulting Numbers: [65, 46] Generated Node #3: [65, 46] from Operation: 51-5=46 Current State: 19:[65, 46], Operations: ['76-11=65', '51-5=46'] Exploring Operation: 65-46=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 61, 31, 1, 95 ]
64
[ "61-31=30", "95-1=94", "94-30=64" ]
Current State: 64:[61, 31, 1, 95], Operations: [] Exploring Operation: 61-31=30, Resulting Numbers: [1, 95, 30] Generated Node #2: [1, 95, 30] from Operation: 61-31=30 Current State: 64:[1, 95, 30], Operations: ['61-31=30'] Exploring Operation: 95-1=94, Resulting Numbers: [30, 94] Generated Node #3: [30, 94] from Operation: 95-1=94 Current State: 64:[30, 94], Operations: ['61-31=30', '95-1=94'] Exploring Operation: 94-30=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 9, 37, 37, 76 ]
85
[ "9+37=46", "76-37=39", "46+39=85" ]
Current State: 85:[9, 37, 37, 76], Operations: [] Exploring Operation: 9+37=46, Resulting Numbers: [76, 46] Generated Node #2: [76, 46] from Operation: 9+37=46 Current State: 85:[76, 46], Operations: ['9+37=46'] Exploring Operation: 76-37=39, Resulting Numbers: [46, 39] Generated Node #3: [46, 39] from Operation: 76-37=39 Current State: 85:[46, 39], Operations: ['9+37=46', '76-37=39'] Exploring Operation: 46+39=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 4, 44, 93, 38 ]
44
[ "44/4=11", "93-38=55", "55-11=44" ]
Current State: 44:[4, 44, 93, 38], Operations: [] Exploring Operation: 44/4=11, Resulting Numbers: [93, 38, 11] Generated Node #2: [93, 38, 11] from Operation: 44/4=11 Current State: 44:[93, 38, 11], Operations: ['44/4=11'] Exploring Operation: 93-38=55, Resulting Numbers: [11, 55] Generated Node #3: [11, 55] from Operation: 93-38=55 Current State: 44:[11, 55], Operations: ['44/4=11', '93-38=55'] Exploring Operation: 55-11=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 13, 19, 34, 69 ]
67
[ "13+19=32", "69-34=35", "32+35=67" ]
Current State: 67:[13, 19, 34, 69], Operations: [] Exploring Operation: 13+19=32, Resulting Numbers: [34, 69, 32] Generated Node #2: [34, 69, 32] from Operation: 13+19=32 Current State: 67:[34, 69, 32], Operations: ['13+19=32'] Exploring Operation: 69-34=35, Resulting Numbers: [32, 35] Generated Node #3: [32, 35] from Operation: 69-34=35 Current State: 67:[32, 35], Operations: ['13+19=32', '69-34=35'] Exploring Operation: 32+35=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 80, 3, 96, 7 ]
56
[ "7-3=4", "96/4=24", "80-24=56" ]
Current State: 56:[80, 3, 96, 7], Operations: [] Exploring Operation: 7-3=4, Resulting Numbers: [80, 96, 4] Generated Node #2: [80, 96, 4] from Operation: 7-3=4 Current State: 56:[80, 96, 4], Operations: ['7-3=4'] Exploring Operation: 96/4=24, Resulting Numbers: [80, 24] Generated Node #3: [80, 24] from Operation: 96/4=24 Current State: 56:[80, 24], Operations: ['7-3=4', '96/4=24'] Exploring Operation: 80-24=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 7, 84, 40, 24 ]
38
[ "84/7=12", "24/12=2", "40-2=38" ]
Current State: 38:[7, 84, 40, 24], Operations: [] Exploring Operation: 84/7=12, Resulting Numbers: [40, 24, 12] Generated Node #2: [40, 24, 12] from Operation: 84/7=12 Current State: 38:[40, 24, 12], Operations: ['84/7=12'] Exploring Operation: 24/12=2, Resulting Numbers: [40, 2] Generated Node #3: [40, 2] from Operation: 24/12=2 Current State: 38:[40, 2], Operations: ['84/7=12', '24/12=2'] Exploring Operation: 40-2=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 74, 18, 65, 24 ]
22
[ "74-65=9", "18/9=2", "24-2=22" ]
Current State: 22:[74, 18, 65, 24], Operations: [] Exploring Operation: 74-65=9, Resulting Numbers: [18, 24, 9] Generated Node #2: [18, 24, 9] from Operation: 74-65=9 Current State: 22:[18, 24, 9], Operations: ['74-65=9'] Exploring Operation: 18/9=2, Resulting Numbers: [24, 2] Generated Node #3: [24, 2] from Operation: 18/9=2 Current State: 22:[24, 2], Operations: ['74-65=9', '18/9=2'] Exploring Operation: 24-2=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 90, 64, 4, 86 ]
18
[ "90-64=26", "4*26=104", "104-86=18" ]
Current State: 18:[90, 64, 4, 86], Operations: [] Exploring Operation: 90-64=26, Resulting Numbers: [4, 86, 26] Generated Node #2: [4, 86, 26] from Operation: 90-64=26 Current State: 18:[4, 86, 26], Operations: ['90-64=26'] Exploring Operation: 4*26=104, Resulting Numbers: [86, 104] Generated Node #3: [86, 104] from Operation: 4*26=104 Current State: 18:[86, 104], Operations: ['90-64=26', '4*26=104'] Exploring Operation: 104-86=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 4, 20, 21, 6 ]
30
[ "20-4=16", "21-16=5", "6*5=30" ]
Current State: 30:[4, 20, 21, 6], Operations: [] Exploring Operation: 20-4=16, Resulting Numbers: [21, 6, 16] Generated Node #2: [21, 6, 16] from Operation: 20-4=16 Current State: 30:[21, 6, 16], Operations: ['20-4=16'] Exploring Operation: 21-16=5, Resulting Numbers: [6, 5] Generated Node #3: [6, 5] from Operation: 21-16=5 Current State: 30:[6, 5], Operations: ['20-4=16', '21-16=5'] Exploring Operation: 6*5=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 44, 47, 62, 47 ]
18
[ "44+47=91", "62+47=109", "109-91=18" ]
Current State: 18:[44, 47, 62, 47], Operations: [] Exploring Operation: 44+47=91, Resulting Numbers: [62, 91] Generated Node #2: [62, 91] from Operation: 44+47=91 Current State: 18:[62, 91], Operations: ['44+47=91'] Exploring Operation: 62+47=109, Resulting Numbers: [91, 109] Generated Node #3: [91, 109] from Operation: 62+47=109 Current State: 18:[91, 109], Operations: ['44+47=91', '62+47=109'] Exploring Operation: 109-91=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 90, 4, 95, 62 ]
53
[ "90-4=86", "95-62=33", "86-33=53" ]
Current State: 53:[90, 4, 95, 62], Operations: [] Exploring Operation: 90-4=86, Resulting Numbers: [95, 62, 86] Generated Node #2: [95, 62, 86] from Operation: 90-4=86 Current State: 53:[95, 62, 86], Operations: ['90-4=86'] Exploring Operation: 95-62=33, Resulting Numbers: [86, 33] Generated Node #3: [86, 33] from Operation: 95-62=33 Current State: 53:[86, 33], Operations: ['90-4=86', '95-62=33'] Exploring Operation: 86-33=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 23, 69, 99, 26 ]
59
[ "69/23=3", "99/3=33", "26+33=59" ]
Current State: 59:[23, 69, 99, 26], Operations: [] Exploring Operation: 69/23=3, Resulting Numbers: [99, 26, 3] Generated Node #2: [99, 26, 3] from Operation: 69/23=3 Current State: 59:[99, 26, 3], Operations: ['69/23=3'] Exploring Operation: 99/3=33, Resulting Numbers: [26, 33] Generated Node #3: [26, 33] from Operation: 99/3=33 Current State: 59:[26, 33], Operations: ['69/23=3', '99/3=33'] Exploring Operation: 26+33=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 40, 17, 10, 39 ]
60
[ "40/10=4", "17+39=56", "4+56=60" ]
Current State: 60:[40, 17, 10, 39], Operations: [] Exploring Operation: 40/10=4, Resulting Numbers: [17, 39, 4] Generated Node #2: [17, 39, 4] from Operation: 40/10=4 Current State: 60:[17, 39, 4], Operations: ['40/10=4'] Exploring Operation: 17+39=56, Resulting Numbers: [4, 56] Generated Node #3: [4, 56] from Operation: 17+39=56 Current State: 60:[4, 56], Operations: ['40/10=4', '17+39=56'] Exploring Operation: 4+56=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 14, 14, 97, 25 ]
44
[ "14+14=28", "97-25=72", "72-28=44" ]
Current State: 44:[14, 14, 97, 25], Operations: [] Exploring Operation: 14+14=28, Resulting Numbers: [97, 25, 28] Generated Node #2: [97, 25, 28] from Operation: 14+14=28 Current State: 44:[97, 25, 28], Operations: ['14+14=28'] Exploring Operation: 97-25=72, Resulting Numbers: [28, 72] Generated Node #3: [28, 72] from Operation: 97-25=72 Current State: 44:[28, 72], Operations: ['14+14=28', '97-25=72'] Exploring Operation: 72-28=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 59, 43, 96, 82 ]
30
[ "59-43=16", "96-82=14", "16+14=30" ]
Current State: 30:[59, 43, 96, 82], Operations: [] Exploring Operation: 59-43=16, Resulting Numbers: [96, 82, 16] Generated Node #2: [96, 82, 16] from Operation: 59-43=16 Current State: 30:[96, 82, 16], Operations: ['59-43=16'] Exploring Operation: 96-82=14, Resulting Numbers: [16, 14] Generated Node #3: [16, 14] from Operation: 96-82=14 Current State: 30:[16, 14], Operations: ['59-43=16', '96-82=14'] Exploring Operation: 16+14=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 36, 15, 93, 40 ]
33
[ "40-36=4", "15*4=60", "93-60=33" ]
Current State: 33:[36, 15, 93, 40], Operations: [] Exploring Operation: 40-36=4, Resulting Numbers: [15, 93, 4] Generated Node #2: [15, 93, 4] from Operation: 40-36=4 Current State: 33:[15, 93, 4], Operations: ['40-36=4'] Exploring Operation: 15*4=60, Resulting Numbers: [93, 60] Generated Node #3: [93, 60] from Operation: 15*4=60 Current State: 33:[93, 60], Operations: ['40-36=4', '15*4=60'] Exploring Operation: 93-60=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 78, 60, 6, 58 ]
75
[ "60-58=2", "6/2=3", "78-3=75" ]
Current State: 75:[78, 60, 6, 58], Operations: [] Exploring Operation: 60-58=2, Resulting Numbers: [78, 6, 2] Generated Node #2: [78, 6, 2] from Operation: 60-58=2 Current State: 75:[78, 6, 2], Operations: ['60-58=2'] Exploring Operation: 6/2=3, Resulting Numbers: [78, 3] Generated Node #3: [78, 3] from Operation: 6/2=3 Current State: 75:[78, 3], Operations: ['60-58=2', '6/2=3'] Exploring Operation: 78-3=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 5, 51, 20, 61 ]
35
[ "51-5=46", "20+61=81", "81-46=35" ]
Current State: 35:[5, 51, 20, 61], Operations: [] Exploring Operation: 51-5=46, Resulting Numbers: [20, 61, 46] Generated Node #2: [20, 61, 46] from Operation: 51-5=46 Current State: 35:[20, 61, 46], Operations: ['51-5=46'] Exploring Operation: 20+61=81, Resulting Numbers: [46, 81] Generated Node #3: [46, 81] from Operation: 20+61=81 Current State: 35:[46, 81], Operations: ['51-5=46', '20+61=81'] Exploring Operation: 81-46=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 90, 10, 71, 80 ]
89
[ "90-10=80", "80-71=9", "80+9=89" ]
Current State: 89:[90, 10, 71, 80], Operations: [] Exploring Operation: 90-10=80, Resulting Numbers: [71, 80, 80] Generated Node #2: [71, 80, 80] from Operation: 90-10=80 Current State: 89:[71, 80, 80], Operations: ['90-10=80'] Exploring Operation: 80-71=9, Resulting Numbers: [9] 9,89 equal: Goal Reached Exploring Operation: 80+9=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 17, 96, 72, 99 ]
87
[ "17+99=116", "72*116=8352", "8352/96=87" ]
Current State: 87:[17, 96, 72, 99], Operations: [] Exploring Operation: 17+99=116, Resulting Numbers: [96, 72, 116] Generated Node #2: [96, 72, 116] from Operation: 17+99=116 Current State: 87:[96, 72, 116], Operations: ['17+99=116'] Exploring Operation: 72*116=8352, Resulting Numbers: [96, 8352] Generated Node #3: [96, 8352] from Operation: 72*116=8352 Current State: 87:[96, 8352], Operations: ['17+99=116', '72*116=8352'] Exploring Operation: 8352/96=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 76, 74, 49, 46 ]
97
[ "76-74=2", "49+46=95", "2+95=97" ]
Current State: 97:[76, 74, 49, 46], Operations: [] Exploring Operation: 76-74=2, Resulting Numbers: [49, 46, 2] Generated Node #2: [49, 46, 2] from Operation: 76-74=2 Current State: 97:[49, 46, 2], Operations: ['76-74=2'] Exploring Operation: 49+46=95, Resulting Numbers: [2, 95] Generated Node #3: [2, 95] from Operation: 49+46=95 Current State: 97:[2, 95], Operations: ['76-74=2', '49+46=95'] Exploring Operation: 2+95=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 33, 59, 12, 85 ]
71
[ "59-33=26", "12+85=97", "97-26=71" ]
Current State: 71:[33, 59, 12, 85], Operations: [] Exploring Operation: 59-33=26, Resulting Numbers: [12, 85, 26] Generated Node #2: [12, 85, 26] from Operation: 59-33=26 Current State: 71:[12, 85, 26], Operations: ['59-33=26'] Exploring Operation: 12+85=97, Resulting Numbers: [26, 97] Generated Node #3: [26, 97] from Operation: 12+85=97 Current State: 71:[26, 97], Operations: ['59-33=26', '12+85=97'] Exploring Operation: 97-26=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 17, 15, 2, 76 ]
95
[ "17*2=34", "76-15=61", "34+61=95" ]
Current State: 95:[17, 15, 2, 76], Operations: [] Exploring Operation: 17*2=34, Resulting Numbers: [15, 76, 34] Generated Node #2: [15, 76, 34] from Operation: 17*2=34 Current State: 95:[15, 76, 34], Operations: ['17*2=34'] Exploring Operation: 76-15=61, Resulting Numbers: [34, 61] Generated Node #3: [34, 61] from Operation: 76-15=61 Current State: 95:[34, 61], Operations: ['17*2=34', '76-15=61'] Exploring Operation: 34+61=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 34, 52, 22, 80 ]
55
[ "22+80=102", "102/34=3", "52+3=55" ]
Current State: 55:[34, 52, 22, 80], Operations: [] Exploring Operation: 22+80=102, Resulting Numbers: [34, 52, 102] Generated Node #2: [34, 52, 102] from Operation: 22+80=102 Current State: 55:[34, 52, 102], Operations: ['22+80=102'] Exploring Operation: 102/34=3, Resulting Numbers: [52, 3] Generated Node #3: [52, 3] from Operation: 102/34=3 Current State: 55:[52, 3], Operations: ['22+80=102', '102/34=3'] Exploring Operation: 52+3=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 49, 17, 29, 86 ]
83
[ "49-17=32", "29+86=115", "115-32=83" ]
Current State: 83:[49, 17, 29, 86], Operations: [] Exploring Operation: 49-17=32, Resulting Numbers: [29, 86, 32] Generated Node #2: [29, 86, 32] from Operation: 49-17=32 Current State: 83:[29, 86, 32], Operations: ['49-17=32'] Exploring Operation: 29+86=115, Resulting Numbers: [32, 115] Generated Node #3: [32, 115] from Operation: 29+86=115 Current State: 83:[32, 115], Operations: ['49-17=32', '29+86=115'] Exploring Operation: 115-32=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 9, 59, 12, 41 ]
97
[ "9+59=68", "41-12=29", "68+29=97" ]
Current State: 97:[9, 59, 12, 41], Operations: [] Exploring Operation: 9+59=68, Resulting Numbers: [12, 41, 68] Generated Node #2: [12, 41, 68] from Operation: 9+59=68 Current State: 97:[12, 41, 68], Operations: ['9+59=68'] Exploring Operation: 41-12=29, Resulting Numbers: [68, 29] Generated Node #3: [68, 29] from Operation: 41-12=29 Current State: 97:[68, 29], Operations: ['9+59=68', '41-12=29'] Exploring Operation: 68+29=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 13, 58, 33, 6 ]
55
[ "33+6=39", "39/13=3", "58-3=55" ]
Current State: 55:[13, 58, 33, 6], Operations: [] Exploring Operation: 33+6=39, Resulting Numbers: [13, 58, 39] Generated Node #2: [13, 58, 39] from Operation: 33+6=39 Current State: 55:[13, 58, 39], Operations: ['33+6=39'] Exploring Operation: 39/13=3, Resulting Numbers: [58, 3] Generated Node #3: [58, 3] from Operation: 39/13=3 Current State: 55:[58, 3], Operations: ['33+6=39', '39/13=3'] Exploring Operation: 58-3=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 7, 10, 8, 42 ]
98
[ "7+42=49", "10-8=2", "49*2=98" ]
Current State: 98:[7, 10, 8, 42], Operations: [] Exploring Operation: 7+42=49, Resulting Numbers: [10, 8, 49] Generated Node #2: [10, 8, 49] from Operation: 7+42=49 Current State: 98:[10, 8, 49], Operations: ['7+42=49'] Exploring Operation: 10-8=2, Resulting Numbers: [49, 2] Generated Node #3: [49, 2] from Operation: 10-8=2 Current State: 98:[49, 2], Operations: ['7+42=49', '10-8=2'] Exploring Operation: 49*2=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 71, 2, 9, 28 ]
50
[ "71-2=69", "28-9=19", "69-19=50" ]
Current State: 50:[71, 2, 9, 28], Operations: [] Exploring Operation: 71-2=69, Resulting Numbers: [9, 28, 69] Generated Node #2: [9, 28, 69] from Operation: 71-2=69 Current State: 50:[9, 28, 69], Operations: ['71-2=69'] Exploring Operation: 28-9=19, Resulting Numbers: [69, 19] Generated Node #3: [69, 19] from Operation: 28-9=19 Current State: 50:[69, 19], Operations: ['71-2=69', '28-9=19'] Exploring Operation: 69-19=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 95, 71, 60, 17 ]
92
[ "71-60=11", "17*11=187", "187-95=92" ]
Current State: 92:[95, 71, 60, 17], Operations: [] Exploring Operation: 71-60=11, Resulting Numbers: [95, 17, 11] Generated Node #2: [95, 17, 11] from Operation: 71-60=11 Current State: 92:[95, 17, 11], Operations: ['71-60=11'] Exploring Operation: 17*11=187, Resulting Numbers: [95, 187] Generated Node #3: [95, 187] from Operation: 17*11=187 Current State: 92:[95, 187], Operations: ['71-60=11', '17*11=187'] Exploring Operation: 187-95=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 28, 49, 66, 56 ]
82
[ "28*66=1848", "1848/56=33", "49+33=82" ]
Current State: 82:[28, 49, 66, 56], Operations: [] Exploring Operation: 28*66=1848, Resulting Numbers: [49, 56, 1848] Generated Node #2: [49, 56, 1848] from Operation: 28*66=1848 Current State: 82:[49, 56, 1848], Operations: ['28*66=1848'] Exploring Operation: 1848/56=33, Resulting Numbers: [49, 33] Generated Node #3: [49, 33] from Operation: 1848/56=33 Current State: 82:[49, 33], Operations: ['28*66=1848', '1848/56=33'] Exploring Operation: 49+33=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 40, 4, 16, 99 ]
71
[ "40+4=44", "16+99=115", "115-44=71" ]
Current State: 71:[40, 4, 16, 99], Operations: [] Exploring Operation: 40+4=44, Resulting Numbers: [16, 99, 44] Generated Node #2: [16, 99, 44] from Operation: 40+4=44 Current State: 71:[16, 99, 44], Operations: ['40+4=44'] Exploring Operation: 16+99=115, Resulting Numbers: [44, 115] Generated Node #3: [44, 115] from Operation: 16+99=115 Current State: 71:[44, 115], Operations: ['40+4=44', '16+99=115'] Exploring Operation: 115-44=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 73, 3, 1, 26 ]
50
[ "73+3=76", "1*26=26", "76-26=50" ]
Current State: 50:[73, 3, 1, 26], Operations: [] Exploring Operation: 73+3=76, Resulting Numbers: [1, 26, 76] Generated Node #2: [1, 26, 76] from Operation: 73+3=76 Current State: 50:[1, 26, 76], Operations: ['73+3=76'] Exploring Operation: 1*26=26, Resulting Numbers: [76, 26] Generated Node #3: [76, 26] from Operation: 1*26=26 Current State: 50:[76, 26], Operations: ['73+3=76', '1*26=26'] Exploring Operation: 76-26=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 4, 80, 11, 67 ]
21
[ "11-4=7", "80+67=147", "147/7=21" ]
Current State: 21:[4, 80, 11, 67], Operations: [] Exploring Operation: 11-4=7, Resulting Numbers: [80, 67, 7] Generated Node #2: [80, 67, 7] from Operation: 11-4=7 Current State: 21:[80, 67, 7], Operations: ['11-4=7'] Exploring Operation: 80+67=147, Resulting Numbers: [7, 147] Generated Node #3: [7, 147] from Operation: 80+67=147 Current State: 21:[7, 147], Operations: ['11-4=7', '80+67=147'] Exploring Operation: 147/7=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 70, 20, 15, 68 ]
54
[ "20-15=5", "70/5=14", "68-14=54" ]
Current State: 54:[70, 20, 15, 68], Operations: [] Exploring Operation: 20-15=5, Resulting Numbers: [70, 68, 5] Generated Node #2: [70, 68, 5] from Operation: 20-15=5 Current State: 54:[70, 68, 5], Operations: ['20-15=5'] Exploring Operation: 70/5=14, Resulting Numbers: [68, 14] Generated Node #3: [68, 14] from Operation: 70/5=14 Current State: 54:[68, 14], Operations: ['20-15=5', '70/5=14'] Exploring Operation: 68-14=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 50, 48, 27, 5 ]
59
[ "50-48=2", "27*2=54", "5+54=59" ]
Current State: 59:[50, 48, 27, 5], Operations: [] Exploring Operation: 50-48=2, Resulting Numbers: [27, 5, 2] Generated Node #2: [27, 5, 2] from Operation: 50-48=2 Current State: 59:[27, 5, 2], Operations: ['50-48=2'] Exploring Operation: 27*2=54, Resulting Numbers: [5, 54] Generated Node #3: [5, 54] from Operation: 27*2=54 Current State: 59:[5, 54], Operations: ['50-48=2', '27*2=54'] Exploring Operation: 5+54=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 9, 16, 3, 39 ]
26
[ "9/3=3", "39-16=23", "3+23=26" ]
Current State: 26:[9, 16, 3, 39], Operations: [] Exploring Operation: 9/3=3, Resulting Numbers: [16, 39, 3] Generated Node #2: [16, 39, 3] from Operation: 9/3=3 Current State: 26:[16, 39, 3], Operations: ['9/3=3'] Exploring Operation: 39-16=23, Resulting Numbers: [3, 23] Generated Node #3: [3, 23] from Operation: 39-16=23 Current State: 26:[3, 23], Operations: ['9/3=3', '39-16=23'] Exploring Operation: 3+23=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 17, 9, 59, 58 ]
30
[ "59+58=117", "117/9=13", "17+13=30" ]
Current State: 30:[17, 9, 59, 58], Operations: [] Exploring Operation: 59+58=117, Resulting Numbers: [17, 9, 117] Generated Node #2: [17, 9, 117] from Operation: 59+58=117 Current State: 30:[17, 9, 117], Operations: ['59+58=117'] Exploring Operation: 117/9=13, Resulting Numbers: [17, 13] Generated Node #3: [17, 13] from Operation: 117/9=13 Current State: 30:[17, 13], Operations: ['59+58=117', '117/9=13'] Exploring Operation: 17+13=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 52, 98, 29, 39 ]
15
[ "52+98=150", "39-29=10", "150/10=15" ]
Current State: 15:[52, 98, 29, 39], Operations: [] Exploring Operation: 52+98=150, Resulting Numbers: [29, 39, 150] Generated Node #2: [29, 39, 150] from Operation: 52+98=150 Current State: 15:[29, 39, 150], Operations: ['52+98=150'] Exploring Operation: 39-29=10, Resulting Numbers: [150, 10] Generated Node #3: [150, 10] from Operation: 39-29=10 Current State: 15:[150, 10], Operations: ['52+98=150', '39-29=10'] Exploring Operation: 150/10=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 98, 64, 62, 83 ]
68
[ "64-62=2", "83*2=166", "166-98=68" ]
Current State: 68:[98, 64, 62, 83], Operations: [] Exploring Operation: 64-62=2, Resulting Numbers: [98, 83, 2] Generated Node #2: [98, 83, 2] from Operation: 64-62=2 Current State: 68:[98, 83, 2], Operations: ['64-62=2'] Exploring Operation: 83*2=166, Resulting Numbers: [98, 166] Generated Node #3: [98, 166] from Operation: 83*2=166 Current State: 68:[98, 166], Operations: ['64-62=2', '83*2=166'] Exploring Operation: 166-98=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 41, 77, 33, 24 ]
72
[ "77-41=36", "36-33=3", "24*3=72" ]
Current State: 72:[41, 77, 33, 24], Operations: [] Exploring Operation: 77-41=36, Resulting Numbers: [33, 24, 36] Generated Node #2: [33, 24, 36] from Operation: 77-41=36 Current State: 72:[33, 24, 36], Operations: ['77-41=36'] Exploring Operation: 36-33=3, Resulting Numbers: [24, 3] Generated Node #3: [24, 3] from Operation: 36-33=3 Current State: 72:[24, 3], Operations: ['77-41=36', '36-33=3'] Exploring Operation: 24*3=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 42, 8, 21, 84 ]
20
[ "42*8=336", "84+336=420", "420/21=20" ]
Current State: 20:[42, 8, 21, 84], Operations: [] Exploring Operation: 42*8=336, Resulting Numbers: [21, 84, 336] Generated Node #2: [21, 84, 336] from Operation: 42*8=336 Current State: 20:[21, 84, 336], Operations: ['42*8=336'] Exploring Operation: 84+336=420, Resulting Numbers: [21, 420] Generated Node #3: [21, 420] from Operation: 84+336=420 Current State: 20:[21, 420], Operations: ['42*8=336', '84+336=420'] Exploring Operation: 420/21=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 28, 86, 67, 83 ]
92
[ "86-28=58", "67+83=150", "150-58=92" ]
Current State: 92:[28, 86, 67, 83], Operations: [] Exploring Operation: 86-28=58, Resulting Numbers: [67, 83, 58] Generated Node #2: [67, 83, 58] from Operation: 86-28=58 Current State: 92:[67, 83, 58], Operations: ['86-28=58'] Exploring Operation: 67+83=150, Resulting Numbers: [58, 150] Generated Node #3: [58, 150] from Operation: 67+83=150 Current State: 92:[58, 150], Operations: ['86-28=58', '67+83=150'] Exploring Operation: 150-58=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 21, 89, 27, 3 ]
59
[ "89-21=68", "27/3=9", "68-9=59" ]
Current State: 59:[21, 89, 27, 3], Operations: [] Exploring Operation: 89-21=68, Resulting Numbers: [27, 3, 68] Generated Node #2: [27, 3, 68] from Operation: 89-21=68 Current State: 59:[27, 3, 68], Operations: ['89-21=68'] Exploring Operation: 27/3=9, Resulting Numbers: [68, 9] Generated Node #3: [68, 9] from Operation: 27/3=9 Current State: 59:[68, 9], Operations: ['89-21=68', '27/3=9'] Exploring Operation: 68-9=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 19, 49, 71, 4 ]
45
[ "49-19=30", "71+4=75", "75-30=45" ]
Current State: 45:[19, 49, 71, 4], Operations: [] Exploring Operation: 49-19=30, Resulting Numbers: [71, 4, 30] Generated Node #2: [71, 4, 30] from Operation: 49-19=30 Current State: 45:[71, 4, 30], Operations: ['49-19=30'] Exploring Operation: 71+4=75, Resulting Numbers: [30, 75] Generated Node #3: [30, 75] from Operation: 71+4=75 Current State: 45:[30, 75], Operations: ['49-19=30', '71+4=75'] Exploring Operation: 75-30=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 79, 27, 54, 20 ]
97
[ "79+20=99", "54/27=2", "99-2=97" ]
Current State: 97:[79, 27, 54, 20], Operations: [] Exploring Operation: 79+20=99, Resulting Numbers: [27, 54, 99] Generated Node #2: [27, 54, 99] from Operation: 79+20=99 Current State: 97:[27, 54, 99], Operations: ['79+20=99'] Exploring Operation: 54/27=2, Resulting Numbers: [99, 2] Generated Node #3: [99, 2] from Operation: 54/27=2 Current State: 97:[99, 2], Operations: ['79+20=99', '54/27=2'] Exploring Operation: 99-2=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 99, 27, 87, 83 ]
44
[ "99+27=126", "87+83=170", "170-126=44" ]
Current State: 44:[99, 27, 87, 83], Operations: [] Exploring Operation: 99+27=126, Resulting Numbers: [87, 83, 126] Generated Node #2: [87, 83, 126] from Operation: 99+27=126 Current State: 44:[87, 83, 126], Operations: ['99+27=126'] Exploring Operation: 87+83=170, Resulting Numbers: [126, 170] Generated Node #3: [126, 170] from Operation: 87+83=170 Current State: 44:[126, 170], Operations: ['99+27=126', '87+83=170'] Exploring Operation: 170-126=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 21, 62, 58, 50 ]
25
[ "21+62=83", "58+50=108", "108-83=25" ]
Current State: 25:[21, 62, 58, 50], Operations: [] Exploring Operation: 21+62=83, Resulting Numbers: [58, 50, 83] Generated Node #2: [58, 50, 83] from Operation: 21+62=83 Current State: 25:[58, 50, 83], Operations: ['21+62=83'] Exploring Operation: 58+50=108, Resulting Numbers: [83, 108] Generated Node #3: [83, 108] from Operation: 58+50=108 Current State: 25:[83, 108], Operations: ['21+62=83', '58+50=108'] Exploring Operation: 108-83=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 91, 6, 61, 58 ]
34
[ "91-6=85", "61+58=119", "119-85=34" ]
Current State: 34:[91, 6, 61, 58], Operations: [] Exploring Operation: 91-6=85, Resulting Numbers: [61, 58, 85] Generated Node #2: [61, 58, 85] from Operation: 91-6=85 Current State: 34:[61, 58, 85], Operations: ['91-6=85'] Exploring Operation: 61+58=119, Resulting Numbers: [85, 119] Generated Node #3: [85, 119] from Operation: 61+58=119 Current State: 34:[85, 119], Operations: ['91-6=85', '61+58=119'] Exploring Operation: 119-85=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 79, 83, 48, 42 ]
54
[ "83-79=4", "48/4=12", "42+12=54" ]
Current State: 54:[79, 83, 48, 42], Operations: [] Exploring Operation: 83-79=4, Resulting Numbers: [48, 42, 4] Generated Node #2: [48, 42, 4] from Operation: 83-79=4 Current State: 54:[48, 42, 4], Operations: ['83-79=4'] Exploring Operation: 48/4=12, Resulting Numbers: [42, 12] Generated Node #3: [42, 12] from Operation: 48/4=12 Current State: 54:[42, 12], Operations: ['83-79=4', '48/4=12'] Exploring Operation: 42+12=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 61, 3, 25, 65 ]
37
[ "65-61=4", "3*4=12", "25+12=37" ]
Current State: 37:[61, 3, 25, 65], Operations: [] Exploring Operation: 65-61=4, Resulting Numbers: [3, 25, 4] Generated Node #2: [3, 25, 4] from Operation: 65-61=4 Current State: 37:[3, 25, 4], Operations: ['65-61=4'] Exploring Operation: 3*4=12, Resulting Numbers: [25, 12] Generated Node #3: [25, 12] from Operation: 3*4=12 Current State: 37:[25, 12], Operations: ['65-61=4', '3*4=12'] Exploring Operation: 25+12=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 8, 17, 16, 37 ]
30
[ "17-8=9", "37-16=21", "9+21=30" ]
Current State: 30:[8, 17, 16, 37], Operations: [] Exploring Operation: 17-8=9, Resulting Numbers: [16, 37, 9] Generated Node #2: [16, 37, 9] from Operation: 17-8=9 Current State: 30:[16, 37, 9], Operations: ['17-8=9'] Exploring Operation: 37-16=21, Resulting Numbers: [9, 21] Generated Node #3: [9, 21] from Operation: 37-16=21 Current State: 30:[9, 21], Operations: ['17-8=9', '37-16=21'] Exploring Operation: 9+21=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 84, 94, 7, 16 ]
48
[ "94-84=10", "10-7=3", "16*3=48" ]
Current State: 48:[84, 94, 7, 16], Operations: [] Exploring Operation: 94-84=10, Resulting Numbers: [7, 16, 10] Generated Node #2: [7, 16, 10] from Operation: 94-84=10 Current State: 48:[7, 16, 10], Operations: ['94-84=10'] Exploring Operation: 10-7=3, Resulting Numbers: [16, 3] Generated Node #3: [16, 3] from Operation: 10-7=3 Current State: 48:[16, 3], Operations: ['94-84=10', '10-7=3'] Exploring Operation: 16*3=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 55, 75, 34, 13 ]
27
[ "75-55=20", "34+13=47", "47-20=27" ]
Current State: 27:[55, 75, 34, 13], Operations: [] Exploring Operation: 75-55=20, Resulting Numbers: [34, 13, 20] Generated Node #2: [34, 13, 20] from Operation: 75-55=20 Current State: 27:[34, 13, 20], Operations: ['75-55=20'] Exploring Operation: 34+13=47, Resulting Numbers: [20, 47] Generated Node #3: [20, 47] from Operation: 34+13=47 Current State: 27:[20, 47], Operations: ['75-55=20', '34+13=47'] Exploring Operation: 47-20=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 29, 46, 32, 56 ]
34
[ "32-29=3", "46+56=102", "102/3=34" ]
Current State: 34:[29, 46, 32, 56], Operations: [] Exploring Operation: 32-29=3, Resulting Numbers: [46, 56, 3] Generated Node #2: [46, 56, 3] from Operation: 32-29=3 Current State: 34:[46, 56, 3], Operations: ['32-29=3'] Exploring Operation: 46+56=102, Resulting Numbers: [3, 102] Generated Node #3: [3, 102] from Operation: 46+56=102 Current State: 34:[3, 102], Operations: ['32-29=3', '46+56=102'] Exploring Operation: 102/3=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 43, 27, 13, 24 ]
53
[ "43-27=16", "13+24=37", "16+37=53" ]
Current State: 53:[43, 27, 13, 24], Operations: [] Exploring Operation: 43-27=16, Resulting Numbers: [13, 24, 16] Generated Node #2: [13, 24, 16] from Operation: 43-27=16 Current State: 53:[13, 24, 16], Operations: ['43-27=16'] Exploring Operation: 13+24=37, Resulting Numbers: [16, 37] Generated Node #3: [16, 37] from Operation: 13+24=37 Current State: 53:[16, 37], Operations: ['43-27=16', '13+24=37'] Exploring Operation: 16+37=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 62, 22, 12, 16 ]
64
[ "22-16=6", "12/6=2", "62+2=64" ]
Current State: 64:[62, 22, 12, 16], Operations: [] Exploring Operation: 22-16=6, Resulting Numbers: [62, 12, 6] Generated Node #2: [62, 12, 6] from Operation: 22-16=6 Current State: 64:[62, 12, 6], Operations: ['22-16=6'] Exploring Operation: 12/6=2, Resulting Numbers: [62, 2] Generated Node #3: [62, 2] from Operation: 12/6=2 Current State: 64:[62, 2], Operations: ['22-16=6', '12/6=2'] Exploring Operation: 62+2=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 98, 84, 13, 39 ]
53
[ "98+84=182", "182/13=14", "39+14=53" ]
Current State: 53:[98, 84, 13, 39], Operations: [] Exploring Operation: 98+84=182, Resulting Numbers: [13, 39, 182] Generated Node #2: [13, 39, 182] from Operation: 98+84=182 Current State: 53:[13, 39, 182], Operations: ['98+84=182'] Exploring Operation: 182/13=14, Resulting Numbers: [39, 14] Generated Node #3: [39, 14] from Operation: 182/13=14 Current State: 53:[39, 14], Operations: ['98+84=182', '182/13=14'] Exploring Operation: 39+14=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 11, 15, 30, 48 ]
57
[ "11+48=59", "30/15=2", "59-2=57" ]
Current State: 57:[11, 15, 30, 48], Operations: [] Exploring Operation: 11+48=59, Resulting Numbers: [15, 30, 59] Generated Node #2: [15, 30, 59] from Operation: 11+48=59 Current State: 57:[15, 30, 59], Operations: ['11+48=59'] Exploring Operation: 30/15=2, Resulting Numbers: [59, 2] Generated Node #3: [59, 2] from Operation: 30/15=2 Current State: 57:[59, 2], Operations: ['11+48=59', '30/15=2'] Exploring Operation: 59-2=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 40, 20, 68, 28 ]
98
[ "40/20=2", "68+28=96", "2+96=98" ]
Current State: 98:[40, 20, 68, 28], Operations: [] Exploring Operation: 40/20=2, Resulting Numbers: [68, 28, 2] Generated Node #2: [68, 28, 2] from Operation: 40/20=2 Current State: 98:[68, 28, 2], Operations: ['40/20=2'] Exploring Operation: 68+28=96, Resulting Numbers: [2, 96] Generated Node #3: [2, 96] from Operation: 68+28=96 Current State: 98:[2, 96], Operations: ['40/20=2', '68+28=96'] Exploring Operation: 2+96=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 37, 42, 93, 79 ]
93
[ "37+42=79", "93+79=172", "172-79=93" ]
Current State: 93:[37, 42, 93, 79], Operations: [] Exploring Operation: 37+42=79, Resulting Numbers: [93, 79, 79] Generated Node #2: [93, 79, 79] from Operation: 37+42=79 Current State: 93:[93, 79, 79], Operations: ['37+42=79'] Exploring Operation: 93+79=172, Resulting Numbers: [172] 172,93 equal: Goal Reached Exploring Operation: 172-79=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 53, 99, 17, 42 ]
71
[ "99-53=46", "42-17=25", "46+25=71" ]
Current State: 71:[53, 99, 17, 42], Operations: [] Exploring Operation: 99-53=46, Resulting Numbers: [17, 42, 46] Generated Node #2: [17, 42, 46] from Operation: 99-53=46 Current State: 71:[17, 42, 46], Operations: ['99-53=46'] Exploring Operation: 42-17=25, Resulting Numbers: [46, 25] Generated Node #3: [46, 25] from Operation: 42-17=25 Current State: 71:[46, 25], Operations: ['99-53=46', '42-17=25'] Exploring Operation: 46+25=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 17, 43, 80, 67 ]
13
[ "43-17=26", "80-67=13", "26-13=13" ]
Current State: 13:[17, 43, 80, 67], Operations: [] Exploring Operation: 43-17=26, Resulting Numbers: [80, 67, 26] Generated Node #2: [80, 67, 26] from Operation: 43-17=26 Current State: 13:[80, 67, 26], Operations: ['43-17=26'] Exploring Operation: 80-67=13, Resulting Numbers: [26, 13] Generated Node #3: [26, 13] from Operation: 80-67=13 Current State: 13:[26, 13], Operations: ['43-17=26', '80-67=13'] Exploring Operation: 26-13=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 3, 81, 99, 30 ]
45
[ "3+81=84", "99+30=129", "129-84=45" ]
Current State: 45:[3, 81, 99, 30], Operations: [] Exploring Operation: 3+81=84, Resulting Numbers: [99, 30, 84] Generated Node #2: [99, 30, 84] from Operation: 3+81=84 Current State: 45:[99, 30, 84], Operations: ['3+81=84'] Exploring Operation: 99+30=129, Resulting Numbers: [84, 129] Generated Node #3: [84, 129] from Operation: 99+30=129 Current State: 45:[84, 129], Operations: ['3+81=84', '99+30=129'] Exploring Operation: 129-84=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 91, 44, 51, 19 ]
42
[ "51-44=7", "19*7=133", "133-91=42" ]
Current State: 42:[91, 44, 51, 19], Operations: [] Exploring Operation: 51-44=7, Resulting Numbers: [91, 19, 7] Generated Node #2: [91, 19, 7] from Operation: 51-44=7 Current State: 42:[91, 19, 7], Operations: ['51-44=7'] Exploring Operation: 19*7=133, Resulting Numbers: [91, 133] Generated Node #3: [91, 133] from Operation: 19*7=133 Current State: 42:[91, 133], Operations: ['51-44=7', '19*7=133'] Exploring Operation: 133-91=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 16, 78, 48, 74 ]
12
[ "48/16=3", "78-74=4", "3*4=12" ]
Current State: 12:[16, 78, 48, 74], Operations: [] Exploring Operation: 48/16=3, Resulting Numbers: [78, 74, 3] Generated Node #2: [78, 74, 3] from Operation: 48/16=3 Current State: 12:[78, 74, 3], Operations: ['48/16=3'] Exploring Operation: 78-74=4, Resulting Numbers: [3, 4] Generated Node #3: [3, 4] from Operation: 78-74=4 Current State: 12:[3, 4], Operations: ['48/16=3', '78-74=4'] Exploring Operation: 3*4=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4