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
[ 19, 83, 22, 21 ]
24
[ "83+22=105", "105/21=5", "19+5=24" ]
Current State: 24:[19, 83, 22, 21], Operations: [] Exploring Operation: 83+22=105, Resulting Numbers: [19, 21, 105] Generated Node #2: [19, 21, 105] from Operation: 83+22=105 Current State: 24:[19, 21, 105], Operations: ['83+22=105'] Exploring Operation: 105/21=5, Resulting Numbers: [19, 5] Generated Node #3: [19, 5] from Operation: 105/21=5 Current State: 24:[19, 5], Operations: ['83+22=105', '105/21=5'] Exploring Operation: 19+5=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 14, 33, 3, 30 ]
71
[ "33-14=19", "3*30=90", "90-19=71" ]
Current State: 71:[14, 33, 3, 30], Operations: [] Exploring Operation: 33-14=19, Resulting Numbers: [3, 30, 19] Generated Node #2: [3, 30, 19] from Operation: 33-14=19 Current State: 71:[3, 30, 19], Operations: ['33-14=19'] Exploring Operation: 3*30=90, Resulting Numbers: [19, 90] Generated Node #3: [19, 90] from Operation: 3*30=90 Current State: 71:[19, 90], Operations: ['33-14=19', '3*30=90'] Exploring Operation: 90-19=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 24, 14, 85, 42 ]
58
[ "85-24=61", "42/14=3", "61-3=58" ]
Current State: 58:[24, 14, 85, 42], Operations: [] Exploring Operation: 85-24=61, Resulting Numbers: [14, 42, 61] Generated Node #2: [14, 42, 61] from Operation: 85-24=61 Current State: 58:[14, 42, 61], Operations: ['85-24=61'] Exploring Operation: 42/14=3, Resulting Numbers: [61, 3] Generated Node #3: [61, 3] from Operation: 42/14=3 Current State: 58:[61, 3], Operations: ['85-24=61', '42/14=3'] Exploring Operation: 61-3=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 47, 14, 6, 44 ]
32
[ "47-44=3", "6*3=18", "14+18=32" ]
Current State: 32:[47, 14, 6, 44], Operations: [] Exploring Operation: 47-44=3, Resulting Numbers: [14, 6, 3] Generated Node #2: [14, 6, 3] from Operation: 47-44=3 Current State: 32:[14, 6, 3], Operations: ['47-44=3'] Exploring Operation: 6*3=18, Resulting Numbers: [14, 18] Generated Node #3: [14, 18] from Operation: 6*3=18 Current State: 32:[14, 18], Operations: ['47-44=3', '6*3=18'] Exploring Operation: 14+18=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 41, 70, 95, 2 ]
86
[ "95-41=54", "70*2=140", "140-54=86" ]
Current State: 86:[41, 70, 95, 2], Operations: [] Exploring Operation: 95-41=54, Resulting Numbers: [70, 2, 54] Generated Node #2: [70, 2, 54] from Operation: 95-41=54 Current State: 86:[70, 2, 54], Operations: ['95-41=54'] Exploring Operation: 70*2=140, Resulting Numbers: [54, 140] Generated Node #3: [54, 140] from Operation: 70*2=140 Current State: 86:[54, 140], Operations: ['95-41=54', '70*2=140'] Exploring Operation: 140-54=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 72, 48, 45, 69 ]
48
[ "72-48=24", "69-45=24", "24+24=48" ]
Current State: 48:[72, 48, 45, 69], Operations: [] Exploring Operation: 72-48=24, Resulting Numbers: [45, 69, 24] Generated Node #2: [45, 69, 24] from Operation: 72-48=24 Current State: 48:[45, 69, 24], Operations: ['72-48=24'] Exploring Operation: 69-45=24, Resulting Numbers: [24, 24] Generated Node #3: [24, 24] from Operation: 69-45=24 Current State: 48:[24, 24], Operations: ['72-48=24', '69-45=24'] Exploring Operation: 24+24=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 85, 32, 38, 3 ]
82
[ "85+32=117", "38-3=35", "117-35=82" ]
Current State: 82:[85, 32, 38, 3], Operations: [] Exploring Operation: 85+32=117, Resulting Numbers: [38, 3, 117] Generated Node #2: [38, 3, 117] from Operation: 85+32=117 Current State: 82:[38, 3, 117], Operations: ['85+32=117'] Exploring Operation: 38-3=35, Resulting Numbers: [117, 35] Generated Node #3: [117, 35] from Operation: 38-3=35 Current State: 82:[117, 35], Operations: ['85+32=117', '38-3=35'] Exploring Operation: 117-35=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 84, 14, 28, 35 ]
86
[ "35-28=7", "14/7=2", "84+2=86" ]
Current State: 86:[84, 14, 28, 35], Operations: [] Exploring Operation: 35-28=7, Resulting Numbers: [84, 14, 7] Generated Node #2: [84, 14, 7] from Operation: 35-28=7 Current State: 86:[84, 14, 7], Operations: ['35-28=7'] Exploring Operation: 14/7=2, Resulting Numbers: [84, 2] Generated Node #3: [84, 2] from Operation: 14/7=2 Current State: 86:[84, 2], Operations: ['35-28=7', '14/7=2'] Exploring Operation: 84+2=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 13, 81, 27, 29 ]
47
[ "13+81=94", "29-27=2", "94/2=47" ]
Current State: 47:[13, 81, 27, 29], Operations: [] Exploring Operation: 13+81=94, Resulting Numbers: [27, 29, 94] Generated Node #2: [27, 29, 94] from Operation: 13+81=94 Current State: 47:[27, 29, 94], Operations: ['13+81=94'] Exploring Operation: 29-27=2, Resulting Numbers: [94, 2] Generated Node #3: [94, 2] from Operation: 29-27=2 Current State: 47:[94, 2], Operations: ['13+81=94', '29-27=2'] Exploring Operation: 94/2=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 25, 66, 11, 26 ]
54
[ "25+66=91", "11+26=37", "91-37=54" ]
Current State: 54:[25, 66, 11, 26], Operations: [] Exploring Operation: 25+66=91, Resulting Numbers: [11, 26, 91] Generated Node #2: [11, 26, 91] from Operation: 25+66=91 Current State: 54:[11, 26, 91], Operations: ['25+66=91'] Exploring Operation: 11+26=37, Resulting Numbers: [91, 37] Generated Node #3: [91, 37] from Operation: 11+26=37 Current State: 54:[91, 37], Operations: ['25+66=91', '11+26=37'] Exploring Operation: 91-37=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 59, 94, 70, 52 ]
84
[ "59-52=7", "70/7=10", "94-10=84" ]
Current State: 84:[59, 94, 70, 52], Operations: [] Exploring Operation: 59-52=7, Resulting Numbers: [94, 70, 7] Generated Node #2: [94, 70, 7] from Operation: 59-52=7 Current State: 84:[94, 70, 7], Operations: ['59-52=7'] Exploring Operation: 70/7=10, Resulting Numbers: [94, 10] Generated Node #3: [94, 10] from Operation: 70/7=10 Current State: 84:[94, 10], Operations: ['59-52=7', '70/7=10'] Exploring Operation: 94-10=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 5, 31, 90, 28 ]
21
[ "90/5=18", "31-28=3", "18+3=21" ]
Current State: 21:[5, 31, 90, 28], Operations: [] Exploring Operation: 90/5=18, Resulting Numbers: [31, 28, 18] Generated Node #2: [31, 28, 18] from Operation: 90/5=18 Current State: 21:[31, 28, 18], Operations: ['90/5=18'] Exploring Operation: 31-28=3, Resulting Numbers: [18, 3] Generated Node #3: [18, 3] from Operation: 31-28=3 Current State: 21:[18, 3], Operations: ['90/5=18', '31-28=3'] Exploring Operation: 18+3=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 86, 21, 27, 27 ]
64
[ "86-21=65", "27/27=1", "65-1=64" ]
Current State: 64:[86, 21, 27, 27], Operations: [] Exploring Operation: 86-21=65, Resulting Numbers: [27, 27, 65] Generated Node #2: [27, 27, 65] from Operation: 86-21=65 Current State: 64:[27, 27, 65], Operations: ['86-21=65'] Exploring Operation: 27/27=1, Resulting Numbers: [65, 1] Generated Node #3: [65, 1] from Operation: 27/27=1 Current State: 64:[65, 1], Operations: ['86-21=65', '27/27=1'] Exploring Operation: 65-1=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 85, 67, 14, 78 ]
88
[ "85+67=152", "78-14=64", "152-64=88" ]
Current State: 88:[85, 67, 14, 78], Operations: [] Exploring Operation: 85+67=152, Resulting Numbers: [14, 78, 152] Generated Node #2: [14, 78, 152] from Operation: 85+67=152 Current State: 88:[14, 78, 152], Operations: ['85+67=152'] Exploring Operation: 78-14=64, Resulting Numbers: [152, 64] Generated Node #3: [152, 64] from Operation: 78-14=64 Current State: 88:[152, 64], Operations: ['85+67=152', '78-14=64'] Exploring Operation: 152-64=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 29, 84, 38, 87 ]
19
[ "38-29=9", "84+87=171", "171/9=19" ]
Current State: 19:[29, 84, 38, 87], Operations: [] Exploring Operation: 38-29=9, Resulting Numbers: [84, 87, 9] Generated Node #2: [84, 87, 9] from Operation: 38-29=9 Current State: 19:[84, 87, 9], Operations: ['38-29=9'] Exploring Operation: 84+87=171, Resulting Numbers: [9, 171] Generated Node #3: [9, 171] from Operation: 84+87=171 Current State: 19:[9, 171], Operations: ['38-29=9', '84+87=171'] Exploring Operation: 171/9=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 41, 41, 89, 63 ]
63
[ "41-41=0", "89*0=0", "63+0=63" ]
Current State: 63:[41, 41, 89, 63], Operations: [] Exploring Operation: 41-41=0, Resulting Numbers: [89, 63, 0] Generated Node #2: [89, 63, 0] from Operation: 41-41=0 Current State: 63:[89, 63, 0], Operations: ['41-41=0'] Exploring Operation: 89*0=0, Resulting Numbers: [63, 0] Generated Node #3: [63, 0] from Operation: 89*0=0 Current State: 63:[63, 0], Operations: ['41-41=0', '89*0=0'] Exploring Operation: 63+0=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 26, 63, 91, 67 ]
13
[ "63-26=37", "91-67=24", "37-24=13" ]
Current State: 13:[26, 63, 91, 67], Operations: [] Exploring Operation: 63-26=37, Resulting Numbers: [91, 67, 37] Generated Node #2: [91, 67, 37] from Operation: 63-26=37 Current State: 13:[91, 67, 37], Operations: ['63-26=37'] Exploring Operation: 91-67=24, Resulting Numbers: [37, 24] Generated Node #3: [37, 24] from Operation: 91-67=24 Current State: 13:[37, 24], Operations: ['63-26=37', '91-67=24'] Exploring Operation: 37-24=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 40, 50, 52, 52 ]
24
[ "52-40=12", "52-50=2", "12*2=24" ]
Current State: 24:[40, 50, 52, 52], Operations: [] Exploring Operation: 52-40=12, Resulting Numbers: [50, 12] Generated Node #2: [50, 12] from Operation: 52-40=12 Current State: 24:[50, 12], Operations: ['52-40=12'] Exploring Operation: 52-50=2, Resulting Numbers: [12, 2] Generated Node #3: [12, 2] from Operation: 52-50=2 Current State: 24:[12, 2], Operations: ['52-40=12', '52-50=2'] Exploring Operation: 12*2=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 51, 12, 90, 63 ]
89
[ "51+12=63", "63/63=1", "90-1=89" ]
Current State: 89:[51, 12, 90, 63], Operations: [] Exploring Operation: 51+12=63, Resulting Numbers: [90, 63, 63] Generated Node #2: [90, 63, 63] from Operation: 51+12=63 Current State: 89:[90, 63, 63], Operations: ['51+12=63'] Exploring Operation: 63/63=1, Resulting Numbers: [90, 1] Generated Node #3: [90, 1] from Operation: 63/63=1 Current State: 89:[90, 1], Operations: ['51+12=63', '63/63=1'] Exploring Operation: 90-1=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 86, 40, 72, 56 ]
54
[ "86-56=30", "72*30=2160", "2160/40=54" ]
Current State: 54:[86, 40, 72, 56], Operations: [] Exploring Operation: 86-56=30, Resulting Numbers: [40, 72, 30] Generated Node #2: [40, 72, 30] from Operation: 86-56=30 Current State: 54:[40, 72, 30], Operations: ['86-56=30'] Exploring Operation: 72*30=2160, Resulting Numbers: [40, 2160] Generated Node #3: [40, 2160] from Operation: 72*30=2160 Current State: 54:[40, 2160], Operations: ['86-56=30', '72*30=2160'] Exploring Operation: 2160/40=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 90, 66, 31, 99 ]
88
[ "90+66=156", "99-31=68", "156-68=88" ]
Current State: 88:[90, 66, 31, 99], Operations: [] Exploring Operation: 90+66=156, Resulting Numbers: [31, 99, 156] Generated Node #2: [31, 99, 156] from Operation: 90+66=156 Current State: 88:[31, 99, 156], Operations: ['90+66=156'] Exploring Operation: 99-31=68, Resulting Numbers: [156, 68] Generated Node #3: [156, 68] from Operation: 99-31=68 Current State: 88:[156, 68], Operations: ['90+66=156', '99-31=68'] Exploring Operation: 156-68=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 39, 48, 13, 87 ]
13
[ "39+48=87", "13+87=100", "100-87=13" ]
Current State: 13:[39, 48, 13, 87], Operations: [] Exploring Operation: 39+48=87, Resulting Numbers: [13, 87, 87] Generated Node #2: [13, 87, 87] from Operation: 39+48=87 Current State: 13:[13, 87, 87], Operations: ['39+48=87'] Exploring Operation: 13+87=100, Resulting Numbers: [100] 100,13 equal: Goal Reached Exploring Operation: 100-87=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 34, 12, 92, 67 ]
65
[ "34+12=46", "92/46=2", "67-2=65" ]
Current State: 65:[34, 12, 92, 67], Operations: [] Exploring Operation: 34+12=46, Resulting Numbers: [92, 67, 46] Generated Node #2: [92, 67, 46] from Operation: 34+12=46 Current State: 65:[92, 67, 46], Operations: ['34+12=46'] Exploring Operation: 92/46=2, Resulting Numbers: [67, 2] Generated Node #3: [67, 2] from Operation: 92/46=2 Current State: 65:[67, 2], Operations: ['34+12=46', '92/46=2'] Exploring Operation: 67-2=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 9, 1, 18, 4 ]
82
[ "9+1=10", "18*4=72", "10+72=82" ]
Current State: 82:[9, 1, 18, 4], Operations: [] Exploring Operation: 9+1=10, Resulting Numbers: [18, 4, 10] Generated Node #2: [18, 4, 10] from Operation: 9+1=10 Current State: 82:[18, 4, 10], Operations: ['9+1=10'] Exploring Operation: 18*4=72, Resulting Numbers: [10, 72] Generated Node #3: [10, 72] from Operation: 18*4=72 Current State: 82:[10, 72], Operations: ['9+1=10', '18*4=72'] Exploring Operation: 10+72=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 28, 25, 2, 23 ]
63
[ "28-25=3", "23-2=21", "3*21=63" ]
Current State: 63:[28, 25, 2, 23], Operations: [] Exploring Operation: 28-25=3, Resulting Numbers: [2, 23, 3] Generated Node #2: [2, 23, 3] from Operation: 28-25=3 Current State: 63:[2, 23, 3], Operations: ['28-25=3'] Exploring Operation: 23-2=21, Resulting Numbers: [3, 21] Generated Node #3: [3, 21] from Operation: 23-2=21 Current State: 63:[3, 21], Operations: ['28-25=3', '23-2=21'] Exploring Operation: 3*21=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 6, 61, 60, 60 ]
12
[ "61-6=55", "60-55=5", "60/5=12" ]
Current State: 12:[6, 61, 60, 60], Operations: [] Exploring Operation: 61-6=55, Resulting Numbers: [60, 60, 55] Generated Node #2: [60, 60, 55] from Operation: 61-6=55 Current State: 12:[60, 60, 55], Operations: ['61-6=55'] Exploring Operation: 60-55=5, Resulting Numbers: [5] 5,12 equal: Goal Reached Exploring Operation: 60/5=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 52, 13, 36, 71 ]
30
[ "52+13=65", "71-36=35", "65-35=30" ]
Current State: 30:[52, 13, 36, 71], Operations: [] Exploring Operation: 52+13=65, Resulting Numbers: [36, 71, 65] Generated Node #2: [36, 71, 65] from Operation: 52+13=65 Current State: 30:[36, 71, 65], Operations: ['52+13=65'] Exploring Operation: 71-36=35, Resulting Numbers: [65, 35] Generated Node #3: [65, 35] from Operation: 71-36=35 Current State: 30:[65, 35], Operations: ['52+13=65', '71-36=35'] Exploring Operation: 65-35=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 40, 5, 64, 4 ]
51
[ "40-5=35", "64/4=16", "35+16=51" ]
Current State: 51:[40, 5, 64, 4], Operations: [] Exploring Operation: 40-5=35, Resulting Numbers: [64, 4, 35] Generated Node #2: [64, 4, 35] from Operation: 40-5=35 Current State: 51:[64, 4, 35], Operations: ['40-5=35'] Exploring Operation: 64/4=16, Resulting Numbers: [35, 16] Generated Node #3: [35, 16] from Operation: 64/4=16 Current State: 51:[35, 16], Operations: ['40-5=35', '64/4=16'] Exploring Operation: 35+16=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 37, 26, 3, 4 ]
21
[ "37-26=11", "11-4=7", "3*7=21" ]
Current State: 21:[37, 26, 3, 4], Operations: [] Exploring Operation: 37-26=11, Resulting Numbers: [3, 4, 11] Generated Node #2: [3, 4, 11] from Operation: 37-26=11 Current State: 21:[3, 4, 11], Operations: ['37-26=11'] Exploring Operation: 11-4=7, Resulting Numbers: [3, 7] Generated Node #3: [3, 7] from Operation: 11-4=7 Current State: 21:[3, 7], Operations: ['37-26=11', '11-4=7'] Exploring Operation: 3*7=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 34, 15, 11, 39 ]
42
[ "34+11=45", "45/15=3", "39+3=42" ]
Current State: 42:[34, 15, 11, 39], Operations: [] Exploring Operation: 34+11=45, Resulting Numbers: [15, 39, 45] Generated Node #2: [15, 39, 45] from Operation: 34+11=45 Current State: 42:[15, 39, 45], Operations: ['34+11=45'] Exploring Operation: 45/15=3, Resulting Numbers: [39, 3] Generated Node #3: [39, 3] from Operation: 45/15=3 Current State: 42:[39, 3], Operations: ['34+11=45', '45/15=3'] Exploring Operation: 39+3=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 28, 2, 56, 5 ]
36
[ "2+5=7", "56/7=8", "28+8=36" ]
Current State: 36:[28, 2, 56, 5], Operations: [] Exploring Operation: 2+5=7, Resulting Numbers: [28, 56, 7] Generated Node #2: [28, 56, 7] from Operation: 2+5=7 Current State: 36:[28, 56, 7], Operations: ['2+5=7'] Exploring Operation: 56/7=8, Resulting Numbers: [28, 8] Generated Node #3: [28, 8] from Operation: 56/7=8 Current State: 36:[28, 8], Operations: ['2+5=7', '56/7=8'] Exploring Operation: 28+8=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 26, 9, 54, 61 ]
93
[ "26+61=87", "54/9=6", "87+6=93" ]
Current State: 93:[26, 9, 54, 61], Operations: [] Exploring Operation: 26+61=87, Resulting Numbers: [9, 54, 87] Generated Node #2: [9, 54, 87] from Operation: 26+61=87 Current State: 93:[9, 54, 87], Operations: ['26+61=87'] Exploring Operation: 54/9=6, Resulting Numbers: [87, 6] Generated Node #3: [87, 6] from Operation: 54/9=6 Current State: 93:[87, 6], Operations: ['26+61=87', '54/9=6'] Exploring Operation: 87+6=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 27, 1, 75, 75 ]
28
[ "27+1=28", "75-75=0", "28+0=28" ]
Current State: 28:[27, 1, 75, 75], Operations: [] Exploring Operation: 27+1=28, Resulting Numbers: [75, 75, 28] Generated Node #2: [75, 75, 28] from Operation: 27+1=28 Current State: 28:[75, 75, 28], Operations: ['27+1=28'] Exploring Operation: 75-75=0, Resulting Numbers: [28, 0] Generated Node #3: [28, 0] from Operation: 75-75=0 Current State: 28:[28, 0], Operations: ['27+1=28', '75-75=0'] Exploring Operation: 28+0=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 79, 21, 79, 22 ]
44
[ "79/79=1", "21+22=43", "1+43=44" ]
Current State: 44:[79, 21, 79, 22], Operations: [] Exploring Operation: 79/79=1, Resulting Numbers: [21, 22, 1] Generated Node #2: [21, 22, 1] from Operation: 79/79=1 Current State: 44:[21, 22, 1], Operations: ['79/79=1'] Exploring Operation: 21+22=43, Resulting Numbers: [1, 43] Generated Node #3: [1, 43] from Operation: 21+22=43 Current State: 44:[1, 43], Operations: ['79/79=1', '21+22=43'] Exploring Operation: 1+43=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 51, 48, 96, 1 ]
49
[ "51*1=51", "96/48=2", "51-2=49" ]
Current State: 49:[51, 48, 96, 1], Operations: [] Exploring Operation: 51*1=51, Resulting Numbers: [48, 96, 51] Generated Node #2: [48, 96, 51] from Operation: 51*1=51 Current State: 49:[48, 96, 51], Operations: ['51*1=51'] Exploring Operation: 96/48=2, Resulting Numbers: [51, 2] Generated Node #3: [51, 2] from Operation: 96/48=2 Current State: 49:[51, 2], Operations: ['51*1=51', '96/48=2'] Exploring Operation: 51-2=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 7, 43, 91, 42 ]
13
[ "43-7=36", "91-42=49", "49-36=13" ]
Current State: 13:[7, 43, 91, 42], Operations: [] Exploring Operation: 43-7=36, Resulting Numbers: [91, 42, 36] Generated Node #2: [91, 42, 36] from Operation: 43-7=36 Current State: 13:[91, 42, 36], Operations: ['43-7=36'] Exploring Operation: 91-42=49, Resulting Numbers: [36, 49] Generated Node #3: [36, 49] from Operation: 91-42=49 Current State: 13:[36, 49], Operations: ['43-7=36', '91-42=49'] Exploring Operation: 49-36=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 6, 72, 6, 90 ]
87
[ "6*72=432", "90+432=522", "522/6=87" ]
Current State: 87:[6, 72, 6, 90], Operations: [] Exploring Operation: 6*72=432, Resulting Numbers: [90, 432] Generated Node #2: [90, 432] from Operation: 6*72=432 Current State: 87:[90, 432], Operations: ['6*72=432'] Exploring Operation: 90+432=522, Resulting Numbers: [522] 522,87 equal: Goal Reached Exploring Operation: 522/6=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 2, 11, 40, 76 ]
13
[ "40-2=38", "76/38=2", "11+2=13" ]
Current State: 13:[2, 11, 40, 76], Operations: [] Exploring Operation: 40-2=38, Resulting Numbers: [11, 76, 38] Generated Node #2: [11, 76, 38] from Operation: 40-2=38 Current State: 13:[11, 76, 38], Operations: ['40-2=38'] Exploring Operation: 76/38=2, Resulting Numbers: [11, 2] Generated Node #3: [11, 2] from Operation: 76/38=2 Current State: 13:[11, 2], Operations: ['40-2=38', '76/38=2'] Exploring Operation: 11+2=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 22, 86, 19, 52 ]
46
[ "22-19=3", "86+52=138", "138/3=46" ]
Current State: 46:[22, 86, 19, 52], Operations: [] Exploring Operation: 22-19=3, Resulting Numbers: [86, 52, 3] Generated Node #2: [86, 52, 3] from Operation: 22-19=3 Current State: 46:[86, 52, 3], Operations: ['22-19=3'] Exploring Operation: 86+52=138, Resulting Numbers: [3, 138] Generated Node #3: [3, 138] from Operation: 86+52=138 Current State: 46:[3, 138], Operations: ['22-19=3', '86+52=138'] Exploring Operation: 138/3=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 8, 61, 88, 91 ]
23
[ "8+61=69", "91-88=3", "69/3=23" ]
Current State: 23:[8, 61, 88, 91], Operations: [] Exploring Operation: 8+61=69, Resulting Numbers: [88, 91, 69] Generated Node #2: [88, 91, 69] from Operation: 8+61=69 Current State: 23:[88, 91, 69], Operations: ['8+61=69'] Exploring Operation: 91-88=3, Resulting Numbers: [69, 3] Generated Node #3: [69, 3] from Operation: 91-88=3 Current State: 23:[69, 3], Operations: ['8+61=69', '91-88=3'] Exploring Operation: 69/3=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 34, 51, 37, 68 ]
44
[ "68/34=2", "51+37=88", "88/2=44" ]
Current State: 44:[34, 51, 37, 68], Operations: [] Exploring Operation: 68/34=2, Resulting Numbers: [51, 37, 2] Generated Node #2: [51, 37, 2] from Operation: 68/34=2 Current State: 44:[51, 37, 2], Operations: ['68/34=2'] Exploring Operation: 51+37=88, Resulting Numbers: [2, 88] Generated Node #3: [2, 88] from Operation: 51+37=88 Current State: 44:[2, 88], Operations: ['68/34=2', '51+37=88'] Exploring Operation: 88/2=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 16, 2, 37, 40 ]
15
[ "16+2=18", "40-37=3", "18-3=15" ]
Current State: 15:[16, 2, 37, 40], Operations: [] Exploring Operation: 16+2=18, Resulting Numbers: [37, 40, 18] Generated Node #2: [37, 40, 18] from Operation: 16+2=18 Current State: 15:[37, 40, 18], Operations: ['16+2=18'] Exploring Operation: 40-37=3, Resulting Numbers: [18, 3] Generated Node #3: [18, 3] from Operation: 40-37=3 Current State: 15:[18, 3], Operations: ['16+2=18', '40-37=3'] Exploring Operation: 18-3=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 93, 92, 24, 98 ]
51
[ "98-92=6", "24*6=144", "144-93=51" ]
Current State: 51:[93, 92, 24, 98], Operations: [] Exploring Operation: 98-92=6, Resulting Numbers: [93, 24, 6] Generated Node #2: [93, 24, 6] from Operation: 98-92=6 Current State: 51:[93, 24, 6], Operations: ['98-92=6'] Exploring Operation: 24*6=144, Resulting Numbers: [93, 144] Generated Node #3: [93, 144] from Operation: 24*6=144 Current State: 51:[93, 144], Operations: ['98-92=6', '24*6=144'] Exploring Operation: 144-93=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 92, 11, 38, 53 ]
73
[ "53-38=15", "11*15=165", "165-92=73" ]
Current State: 73:[92, 11, 38, 53], Operations: [] Exploring Operation: 53-38=15, Resulting Numbers: [92, 11, 15] Generated Node #2: [92, 11, 15] from Operation: 53-38=15 Current State: 73:[92, 11, 15], Operations: ['53-38=15'] Exploring Operation: 11*15=165, Resulting Numbers: [92, 165] Generated Node #3: [92, 165] from Operation: 11*15=165 Current State: 73:[92, 165], Operations: ['53-38=15', '11*15=165'] Exploring Operation: 165-92=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 16, 33, 2, 5 ]
81
[ "5-2=3", "16*3=48", "33+48=81" ]
Current State: 81:[16, 33, 2, 5], Operations: [] Exploring Operation: 5-2=3, Resulting Numbers: [16, 33, 3] Generated Node #2: [16, 33, 3] from Operation: 5-2=3 Current State: 81:[16, 33, 3], Operations: ['5-2=3'] Exploring Operation: 16*3=48, Resulting Numbers: [33, 48] Generated Node #3: [33, 48] from Operation: 16*3=48 Current State: 81:[33, 48], Operations: ['5-2=3', '16*3=48'] Exploring Operation: 33+48=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 20, 4, 6, 90 ]
68
[ "20-4=16", "90-6=84", "84-16=68" ]
Current State: 68:[20, 4, 6, 90], Operations: [] Exploring Operation: 20-4=16, Resulting Numbers: [6, 90, 16] Generated Node #2: [6, 90, 16] from Operation: 20-4=16 Current State: 68:[6, 90, 16], Operations: ['20-4=16'] Exploring Operation: 90-6=84, Resulting Numbers: [16, 84] Generated Node #3: [16, 84] from Operation: 90-6=84 Current State: 68:[16, 84], Operations: ['20-4=16', '90-6=84'] Exploring Operation: 84-16=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 50, 89, 96, 79 ]
56
[ "89-50=39", "96-79=17", "39+17=56" ]
Current State: 56:[50, 89, 96, 79], Operations: [] Exploring Operation: 89-50=39, Resulting Numbers: [96, 79, 39] Generated Node #2: [96, 79, 39] from Operation: 89-50=39 Current State: 56:[96, 79, 39], Operations: ['89-50=39'] Exploring Operation: 96-79=17, Resulting Numbers: [39, 17] Generated Node #3: [39, 17] from Operation: 96-79=17 Current State: 56:[39, 17], Operations: ['89-50=39', '96-79=17'] Exploring Operation: 39+17=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 95, 20, 42, 72 ]
14
[ "95-20=75", "75-72=3", "42/3=14" ]
Current State: 14:[95, 20, 42, 72], Operations: [] Exploring Operation: 95-20=75, Resulting Numbers: [42, 72, 75] Generated Node #2: [42, 72, 75] from Operation: 95-20=75 Current State: 14:[42, 72, 75], Operations: ['95-20=75'] Exploring Operation: 75-72=3, Resulting Numbers: [42, 3] Generated Node #3: [42, 3] from Operation: 75-72=3 Current State: 14:[42, 3], Operations: ['95-20=75', '75-72=3'] Exploring Operation: 42/3=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 55, 27, 14, 17 ]
51
[ "55+27=82", "14+17=31", "82-31=51" ]
Current State: 51:[55, 27, 14, 17], Operations: [] Exploring Operation: 55+27=82, Resulting Numbers: [14, 17, 82] Generated Node #2: [14, 17, 82] from Operation: 55+27=82 Current State: 51:[14, 17, 82], Operations: ['55+27=82'] Exploring Operation: 14+17=31, Resulting Numbers: [82, 31] Generated Node #3: [82, 31] from Operation: 14+17=31 Current State: 51:[82, 31], Operations: ['55+27=82', '14+17=31'] Exploring Operation: 82-31=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 21, 80, 61, 36 ]
18
[ "80-21=59", "61-59=2", "36/2=18" ]
Current State: 18:[21, 80, 61, 36], Operations: [] Exploring Operation: 80-21=59, Resulting Numbers: [61, 36, 59] Generated Node #2: [61, 36, 59] from Operation: 80-21=59 Current State: 18:[61, 36, 59], Operations: ['80-21=59'] Exploring Operation: 61-59=2, Resulting Numbers: [36, 2] Generated Node #3: [36, 2] from Operation: 61-59=2 Current State: 18:[36, 2], Operations: ['80-21=59', '61-59=2'] Exploring Operation: 36/2=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 45, 3, 49, 84 ]
60
[ "84-49=35", "3*35=105", "105-45=60" ]
Current State: 60:[45, 3, 49, 84], Operations: [] Exploring Operation: 84-49=35, Resulting Numbers: [45, 3, 35] Generated Node #2: [45, 3, 35] from Operation: 84-49=35 Current State: 60:[45, 3, 35], Operations: ['84-49=35'] Exploring Operation: 3*35=105, Resulting Numbers: [45, 105] Generated Node #3: [45, 105] from Operation: 3*35=105 Current State: 60:[45, 105], Operations: ['84-49=35', '3*35=105'] Exploring Operation: 105-45=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 77, 17, 57, 75 ]
78
[ "77-17=60", "75-57=18", "60+18=78" ]
Current State: 78:[77, 17, 57, 75], Operations: [] Exploring Operation: 77-17=60, Resulting Numbers: [57, 75, 60] Generated Node #2: [57, 75, 60] from Operation: 77-17=60 Current State: 78:[57, 75, 60], Operations: ['77-17=60'] Exploring Operation: 75-57=18, Resulting Numbers: [60, 18] Generated Node #3: [60, 18] from Operation: 75-57=18 Current State: 78:[60, 18], Operations: ['77-17=60', '75-57=18'] Exploring Operation: 60+18=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 32, 22, 82, 75 ]
47
[ "32+22=54", "82-75=7", "54-7=47" ]
Current State: 47:[32, 22, 82, 75], Operations: [] Exploring Operation: 32+22=54, Resulting Numbers: [82, 75, 54] Generated Node #2: [82, 75, 54] from Operation: 32+22=54 Current State: 47:[82, 75, 54], Operations: ['32+22=54'] Exploring Operation: 82-75=7, Resulting Numbers: [54, 7] Generated Node #3: [54, 7] from Operation: 82-75=7 Current State: 47:[54, 7], Operations: ['32+22=54', '82-75=7'] Exploring Operation: 54-7=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 11, 28, 21, 62 ]
24
[ "28-11=17", "62-21=41", "41-17=24" ]
Current State: 24:[11, 28, 21, 62], Operations: [] Exploring Operation: 28-11=17, Resulting Numbers: [21, 62, 17] Generated Node #2: [21, 62, 17] from Operation: 28-11=17 Current State: 24:[21, 62, 17], Operations: ['28-11=17'] Exploring Operation: 62-21=41, Resulting Numbers: [17, 41] Generated Node #3: [17, 41] from Operation: 62-21=41 Current State: 24:[17, 41], Operations: ['28-11=17', '62-21=41'] Exploring Operation: 41-17=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 12, 47, 40, 18 ]
13
[ "47-12=35", "40-18=22", "35-22=13" ]
Current State: 13:[12, 47, 40, 18], Operations: [] Exploring Operation: 47-12=35, Resulting Numbers: [40, 18, 35] Generated Node #2: [40, 18, 35] from Operation: 47-12=35 Current State: 13:[40, 18, 35], Operations: ['47-12=35'] Exploring Operation: 40-18=22, Resulting Numbers: [35, 22] Generated Node #3: [35, 22] from Operation: 40-18=22 Current State: 13:[35, 22], Operations: ['47-12=35', '40-18=22'] Exploring Operation: 35-22=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 17, 32, 14, 79 ]
11
[ "17+79=96", "96/32=3", "14-3=11" ]
Current State: 11:[17, 32, 14, 79], Operations: [] Exploring Operation: 17+79=96, Resulting Numbers: [32, 14, 96] Generated Node #2: [32, 14, 96] from Operation: 17+79=96 Current State: 11:[32, 14, 96], Operations: ['17+79=96'] Exploring Operation: 96/32=3, Resulting Numbers: [14, 3] Generated Node #3: [14, 3] from Operation: 96/32=3 Current State: 11:[14, 3], Operations: ['17+79=96', '96/32=3'] Exploring Operation: 14-3=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 78, 41, 96, 9 ]
43
[ "96-78=18", "18/9=2", "41+2=43" ]
Current State: 43:[78, 41, 96, 9], Operations: [] Exploring Operation: 96-78=18, Resulting Numbers: [41, 9, 18] Generated Node #2: [41, 9, 18] from Operation: 96-78=18 Current State: 43:[41, 9, 18], Operations: ['96-78=18'] Exploring Operation: 18/9=2, Resulting Numbers: [41, 2] Generated Node #3: [41, 2] from Operation: 18/9=2 Current State: 43:[41, 2], Operations: ['96-78=18', '18/9=2'] Exploring Operation: 41+2=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 41, 28, 74, 56 ]
31
[ "41-28=13", "74-56=18", "13+18=31" ]
Current State: 31:[41, 28, 74, 56], Operations: [] Exploring Operation: 41-28=13, Resulting Numbers: [74, 56, 13] Generated Node #2: [74, 56, 13] from Operation: 41-28=13 Current State: 31:[74, 56, 13], Operations: ['41-28=13'] Exploring Operation: 74-56=18, Resulting Numbers: [13, 18] Generated Node #3: [13, 18] from Operation: 74-56=18 Current State: 31:[13, 18], Operations: ['41-28=13', '74-56=18'] Exploring Operation: 13+18=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 2, 18, 8, 74 ]
76
[ "18-2=16", "16/8=2", "74+2=76" ]
Current State: 76:[2, 18, 8, 74], Operations: [] Exploring Operation: 18-2=16, Resulting Numbers: [8, 74, 16] Generated Node #2: [8, 74, 16] from Operation: 18-2=16 Current State: 76:[8, 74, 16], Operations: ['18-2=16'] Exploring Operation: 16/8=2, Resulting Numbers: [74, 2] Generated Node #3: [74, 2] from Operation: 16/8=2 Current State: 76:[74, 2], Operations: ['18-2=16', '16/8=2'] Exploring Operation: 74+2=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 64, 35, 9, 19 ]
90
[ "64-35=29", "29-19=10", "9*10=90" ]
Current State: 90:[64, 35, 9, 19], Operations: [] Exploring Operation: 64-35=29, Resulting Numbers: [9, 19, 29] Generated Node #2: [9, 19, 29] from Operation: 64-35=29 Current State: 90:[9, 19, 29], Operations: ['64-35=29'] Exploring Operation: 29-19=10, Resulting Numbers: [9, 10] Generated Node #3: [9, 10] from Operation: 29-19=10 Current State: 90:[9, 10], Operations: ['64-35=29', '29-19=10'] Exploring Operation: 9*10=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 80, 84, 8, 26 ]
100
[ "80/8=10", "84+26=110", "110-10=100" ]
Current State: 100:[80, 84, 8, 26], Operations: [] Exploring Operation: 80/8=10, Resulting Numbers: [84, 26, 10] Generated Node #2: [84, 26, 10] from Operation: 80/8=10 Current State: 100:[84, 26, 10], Operations: ['80/8=10'] Exploring Operation: 84+26=110, Resulting Numbers: [10, 110] Generated Node #3: [10, 110] from Operation: 84+26=110 Current State: 100:[10, 110], Operations: ['80/8=10', '84+26=110'] Exploring Operation: 110-10=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 57, 63, 22, 44 ]
25
[ "63-44=19", "57/19=3", "22+3=25" ]
Current State: 25:[57, 63, 22, 44], Operations: [] Exploring Operation: 63-44=19, Resulting Numbers: [57, 22, 19] Generated Node #2: [57, 22, 19] from Operation: 63-44=19 Current State: 25:[57, 22, 19], Operations: ['63-44=19'] Exploring Operation: 57/19=3, Resulting Numbers: [22, 3] Generated Node #3: [22, 3] from Operation: 57/19=3 Current State: 25:[22, 3], Operations: ['63-44=19', '57/19=3'] Exploring Operation: 22+3=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 4, 59, 80, 50 ]
85
[ "59-4=55", "80-50=30", "55+30=85" ]
Current State: 85:[4, 59, 80, 50], Operations: [] Exploring Operation: 59-4=55, Resulting Numbers: [80, 50, 55] Generated Node #2: [80, 50, 55] from Operation: 59-4=55 Current State: 85:[80, 50, 55], Operations: ['59-4=55'] Exploring Operation: 80-50=30, Resulting Numbers: [55, 30] Generated Node #3: [55, 30] from Operation: 80-50=30 Current State: 85:[55, 30], Operations: ['59-4=55', '80-50=30'] Exploring Operation: 55+30=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 76, 2, 14, 34 ]
73
[ "76+14=90", "34/2=17", "90-17=73" ]
Current State: 73:[76, 2, 14, 34], Operations: [] Exploring Operation: 76+14=90, Resulting Numbers: [2, 34, 90] Generated Node #2: [2, 34, 90] from Operation: 76+14=90 Current State: 73:[2, 34, 90], Operations: ['76+14=90'] Exploring Operation: 34/2=17, Resulting Numbers: [90, 17] Generated Node #3: [90, 17] from Operation: 34/2=17 Current State: 73:[90, 17], Operations: ['76+14=90', '34/2=17'] Exploring Operation: 90-17=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 4, 88, 76, 69 ]
77
[ "88-4=84", "76-69=7", "84-7=77" ]
Current State: 77:[4, 88, 76, 69], Operations: [] Exploring Operation: 88-4=84, Resulting Numbers: [76, 69, 84] Generated Node #2: [76, 69, 84] from Operation: 88-4=84 Current State: 77:[76, 69, 84], Operations: ['88-4=84'] Exploring Operation: 76-69=7, Resulting Numbers: [84, 7] Generated Node #3: [84, 7] from Operation: 76-69=7 Current State: 77:[84, 7], Operations: ['88-4=84', '76-69=7'] Exploring Operation: 84-7=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 55, 95, 75, 54 ]
61
[ "95-55=40", "75-54=21", "40+21=61" ]
Current State: 61:[55, 95, 75, 54], Operations: [] Exploring Operation: 95-55=40, Resulting Numbers: [75, 54, 40] Generated Node #2: [75, 54, 40] from Operation: 95-55=40 Current State: 61:[75, 54, 40], Operations: ['95-55=40'] Exploring Operation: 75-54=21, Resulting Numbers: [40, 21] Generated Node #3: [40, 21] from Operation: 75-54=21 Current State: 61:[40, 21], Operations: ['95-55=40', '75-54=21'] Exploring Operation: 40+21=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 10, 80, 64, 88 ]
15
[ "10*88=880", "80+880=960", "960/64=15" ]
Current State: 15:[10, 80, 64, 88], Operations: [] Exploring Operation: 10*88=880, Resulting Numbers: [80, 64, 880] Generated Node #2: [80, 64, 880] from Operation: 10*88=880 Current State: 15:[80, 64, 880], Operations: ['10*88=880'] Exploring Operation: 80+880=960, Resulting Numbers: [64, 960] Generated Node #3: [64, 960] from Operation: 80+880=960 Current State: 15:[64, 960], Operations: ['10*88=880', '80+880=960'] Exploring Operation: 960/64=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 69, 53, 3, 6 ]
14
[ "69-53=16", "6/3=2", "16-2=14" ]
Current State: 14:[69, 53, 3, 6], Operations: [] Exploring Operation: 69-53=16, Resulting Numbers: [3, 6, 16] Generated Node #2: [3, 6, 16] from Operation: 69-53=16 Current State: 14:[3, 6, 16], Operations: ['69-53=16'] Exploring Operation: 6/3=2, Resulting Numbers: [16, 2] Generated Node #3: [16, 2] from Operation: 6/3=2 Current State: 14:[16, 2], Operations: ['69-53=16', '6/3=2'] Exploring Operation: 16-2=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 63, 22, 33, 62 ]
30
[ "33*62=2046", "2046/22=93", "93-63=30" ]
Current State: 30:[63, 22, 33, 62], Operations: [] Exploring Operation: 33*62=2046, Resulting Numbers: [63, 22, 2046] Generated Node #2: [63, 22, 2046] from Operation: 33*62=2046 Current State: 30:[63, 22, 2046], Operations: ['33*62=2046'] Exploring Operation: 2046/22=93, Resulting Numbers: [63, 93] Generated Node #3: [63, 93] from Operation: 2046/22=93 Current State: 30:[63, 93], Operations: ['33*62=2046', '2046/22=93'] Exploring Operation: 93-63=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 34, 29, 9, 67 ]
60
[ "34+29=63", "63/9=7", "67-7=60" ]
Current State: 60:[34, 29, 9, 67], Operations: [] Exploring Operation: 34+29=63, Resulting Numbers: [9, 67, 63] Generated Node #2: [9, 67, 63] from Operation: 34+29=63 Current State: 60:[9, 67, 63], Operations: ['34+29=63'] Exploring Operation: 63/9=7, Resulting Numbers: [67, 7] Generated Node #3: [67, 7] from Operation: 63/9=7 Current State: 60:[67, 7], Operations: ['34+29=63', '63/9=7'] Exploring Operation: 67-7=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 42, 46, 29, 2 ]
76
[ "46-29=17", "2*17=34", "42+34=76" ]
Current State: 76:[42, 46, 29, 2], Operations: [] Exploring Operation: 46-29=17, Resulting Numbers: [42, 2, 17] Generated Node #2: [42, 2, 17] from Operation: 46-29=17 Current State: 76:[42, 2, 17], Operations: ['46-29=17'] Exploring Operation: 2*17=34, Resulting Numbers: [42, 34] Generated Node #3: [42, 34] from Operation: 2*17=34 Current State: 76:[42, 34], Operations: ['46-29=17', '2*17=34'] Exploring Operation: 42+34=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 15, 37, 70, 4 ]
44
[ "37-15=22", "70-4=66", "66-22=44" ]
Current State: 44:[15, 37, 70, 4], Operations: [] Exploring Operation: 37-15=22, Resulting Numbers: [70, 4, 22] Generated Node #2: [70, 4, 22] from Operation: 37-15=22 Current State: 44:[70, 4, 22], Operations: ['37-15=22'] Exploring Operation: 70-4=66, Resulting Numbers: [22, 66] Generated Node #3: [22, 66] from Operation: 70-4=66 Current State: 44:[22, 66], Operations: ['37-15=22', '70-4=66'] Exploring Operation: 66-22=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 55, 68, 63, 3 ]
66
[ "55+68=123", "63*3=189", "189-123=66" ]
Current State: 66:[55, 68, 63, 3], Operations: [] Exploring Operation: 55+68=123, Resulting Numbers: [63, 3, 123] Generated Node #2: [63, 3, 123] from Operation: 55+68=123 Current State: 66:[63, 3, 123], Operations: ['55+68=123'] Exploring Operation: 63*3=189, Resulting Numbers: [123, 189] Generated Node #3: [123, 189] from Operation: 63*3=189 Current State: 66:[123, 189], Operations: ['55+68=123', '63*3=189'] Exploring Operation: 189-123=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 5, 40, 14, 77 ]
46
[ "5+40=45", "14+77=91", "91-45=46" ]
Current State: 46:[5, 40, 14, 77], Operations: [] Exploring Operation: 5+40=45, Resulting Numbers: [14, 77, 45] Generated Node #2: [14, 77, 45] from Operation: 5+40=45 Current State: 46:[14, 77, 45], Operations: ['5+40=45'] Exploring Operation: 14+77=91, Resulting Numbers: [45, 91] Generated Node #3: [45, 91] from Operation: 14+77=91 Current State: 46:[45, 91], Operations: ['5+40=45', '14+77=91'] Exploring Operation: 91-45=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 56, 66, 28, 16 ]
41
[ "56/28=2", "66+16=82", "82/2=41" ]
Current State: 41:[56, 66, 28, 16], Operations: [] Exploring Operation: 56/28=2, Resulting Numbers: [66, 16, 2] Generated Node #2: [66, 16, 2] from Operation: 56/28=2 Current State: 41:[66, 16, 2], Operations: ['56/28=2'] Exploring Operation: 66+16=82, Resulting Numbers: [2, 82] Generated Node #3: [2, 82] from Operation: 66+16=82 Current State: 41:[2, 82], Operations: ['56/28=2', '66+16=82'] Exploring Operation: 82/2=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 55, 20, 49, 9 ]
35
[ "55+20=75", "49-9=40", "75-40=35" ]
Current State: 35:[55, 20, 49, 9], Operations: [] Exploring Operation: 55+20=75, Resulting Numbers: [49, 9, 75] Generated Node #2: [49, 9, 75] from Operation: 55+20=75 Current State: 35:[49, 9, 75], Operations: ['55+20=75'] Exploring Operation: 49-9=40, Resulting Numbers: [75, 40] Generated Node #3: [75, 40] from Operation: 49-9=40 Current State: 35:[75, 40], Operations: ['55+20=75', '49-9=40'] Exploring Operation: 75-40=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 28, 55, 51, 46 ]
88
[ "28+55=83", "51-46=5", "83+5=88" ]
Current State: 88:[28, 55, 51, 46], Operations: [] Exploring Operation: 28+55=83, Resulting Numbers: [51, 46, 83] Generated Node #2: [51, 46, 83] from Operation: 28+55=83 Current State: 88:[51, 46, 83], Operations: ['28+55=83'] Exploring Operation: 51-46=5, Resulting Numbers: [83, 5] Generated Node #3: [83, 5] from Operation: 51-46=5 Current State: 88:[83, 5], Operations: ['28+55=83', '51-46=5'] Exploring Operation: 83+5=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 72, 23, 64, 6 ]
25
[ "72+23=95", "64+6=70", "95-70=25" ]
Current State: 25:[72, 23, 64, 6], Operations: [] Exploring Operation: 72+23=95, Resulting Numbers: [64, 6, 95] Generated Node #2: [64, 6, 95] from Operation: 72+23=95 Current State: 25:[64, 6, 95], Operations: ['72+23=95'] Exploring Operation: 64+6=70, Resulting Numbers: [95, 70] Generated Node #3: [95, 70] from Operation: 64+6=70 Current State: 25:[95, 70], Operations: ['72+23=95', '64+6=70'] Exploring Operation: 95-70=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 23, 63, 99, 50 ]
63
[ "23+63=86", "99+50=149", "149-86=63" ]
Current State: 63:[23, 63, 99, 50], Operations: [] Exploring Operation: 23+63=86, Resulting Numbers: [99, 50, 86] Generated Node #2: [99, 50, 86] from Operation: 23+63=86 Current State: 63:[99, 50, 86], Operations: ['23+63=86'] Exploring Operation: 99+50=149, Resulting Numbers: [86, 149] Generated Node #3: [86, 149] from Operation: 99+50=149 Current State: 63:[86, 149], Operations: ['23+63=86', '99+50=149'] Exploring Operation: 149-86=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 66, 45, 52, 39 ]
15
[ "66+39=105", "52-45=7", "105/7=15" ]
Current State: 15:[66, 45, 52, 39], Operations: [] Exploring Operation: 66+39=105, Resulting Numbers: [45, 52, 105] Generated Node #2: [45, 52, 105] from Operation: 66+39=105 Current State: 15:[45, 52, 105], Operations: ['66+39=105'] Exploring Operation: 52-45=7, Resulting Numbers: [105, 7] Generated Node #3: [105, 7] from Operation: 52-45=7 Current State: 15:[105, 7], Operations: ['66+39=105', '52-45=7'] Exploring Operation: 105/7=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 58, 44, 83, 29 ]
40
[ "58-44=14", "83-29=54", "54-14=40" ]
Current State: 40:[58, 44, 83, 29], Operations: [] Exploring Operation: 58-44=14, Resulting Numbers: [83, 29, 14] Generated Node #2: [83, 29, 14] from Operation: 58-44=14 Current State: 40:[83, 29, 14], Operations: ['58-44=14'] Exploring Operation: 83-29=54, Resulting Numbers: [14, 54] Generated Node #3: [14, 54] from Operation: 83-29=54 Current State: 40:[14, 54], Operations: ['58-44=14', '83-29=54'] Exploring Operation: 54-14=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 54, 32, 60, 3 ]
42
[ "54-32=22", "60/3=20", "22+20=42" ]
Current State: 42:[54, 32, 60, 3], Operations: [] Exploring Operation: 54-32=22, Resulting Numbers: [60, 3, 22] Generated Node #2: [60, 3, 22] from Operation: 54-32=22 Current State: 42:[60, 3, 22], Operations: ['54-32=22'] Exploring Operation: 60/3=20, Resulting Numbers: [22, 20] Generated Node #3: [22, 20] from Operation: 60/3=20 Current State: 42:[22, 20], Operations: ['54-32=22', '60/3=20'] Exploring Operation: 22+20=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 21, 56, 39, 26 ]
63
[ "56*39=2184", "2184/26=84", "84-21=63" ]
Current State: 63:[21, 56, 39, 26], Operations: [] Exploring Operation: 56*39=2184, Resulting Numbers: [21, 26, 2184] Generated Node #2: [21, 26, 2184] from Operation: 56*39=2184 Current State: 63:[21, 26, 2184], Operations: ['56*39=2184'] Exploring Operation: 2184/26=84, Resulting Numbers: [21, 84] Generated Node #3: [21, 84] from Operation: 2184/26=84 Current State: 63:[21, 84], Operations: ['56*39=2184', '2184/26=84'] Exploring Operation: 84-21=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 66, 30, 10, 35 ]
81
[ "66-30=36", "10+35=45", "36+45=81" ]
Current State: 81:[66, 30, 10, 35], Operations: [] Exploring Operation: 66-30=36, Resulting Numbers: [10, 35, 36] Generated Node #2: [10, 35, 36] from Operation: 66-30=36 Current State: 81:[10, 35, 36], Operations: ['66-30=36'] Exploring Operation: 10+35=45, Resulting Numbers: [36, 45] Generated Node #3: [36, 45] from Operation: 10+35=45 Current State: 81:[36, 45], Operations: ['66-30=36', '10+35=45'] Exploring Operation: 36+45=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 13, 97, 2, 82 ]
26
[ "13+97=110", "2+82=84", "110-84=26" ]
Current State: 26:[13, 97, 2, 82], Operations: [] Exploring Operation: 13+97=110, Resulting Numbers: [2, 82, 110] Generated Node #2: [2, 82, 110] from Operation: 13+97=110 Current State: 26:[2, 82, 110], Operations: ['13+97=110'] Exploring Operation: 2+82=84, Resulting Numbers: [110, 84] Generated Node #3: [110, 84] from Operation: 2+82=84 Current State: 26:[110, 84], Operations: ['13+97=110', '2+82=84'] Exploring Operation: 110-84=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 25, 5, 98, 73 ]
45
[ "25-5=20", "98-73=25", "20+25=45" ]
Current State: 45:[25, 5, 98, 73], Operations: [] Exploring Operation: 25-5=20, Resulting Numbers: [98, 73, 20] Generated Node #2: [98, 73, 20] from Operation: 25-5=20 Current State: 45:[98, 73, 20], Operations: ['25-5=20'] Exploring Operation: 98-73=25, Resulting Numbers: [20, 25] Generated Node #3: [20, 25] from Operation: 98-73=25 Current State: 45:[20, 25], Operations: ['25-5=20', '98-73=25'] Exploring Operation: 20+25=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 18, 91, 87, 69 ]
90
[ "87-18=69", "69/69=1", "91-1=90" ]
Current State: 90:[18, 91, 87, 69], Operations: [] Exploring Operation: 87-18=69, Resulting Numbers: [91, 69, 69] Generated Node #2: [91, 69, 69] from Operation: 87-18=69 Current State: 90:[91, 69, 69], Operations: ['87-18=69'] Exploring Operation: 69/69=1, Resulting Numbers: [91, 1] Generated Node #3: [91, 1] from Operation: 69/69=1 Current State: 90:[91, 1], Operations: ['87-18=69', '69/69=1'] Exploring Operation: 91-1=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 52, 11, 80, 53 ]
14
[ "52-11=41", "80-53=27", "41-27=14" ]
Current State: 14:[52, 11, 80, 53], Operations: [] Exploring Operation: 52-11=41, Resulting Numbers: [80, 53, 41] Generated Node #2: [80, 53, 41] from Operation: 52-11=41 Current State: 14:[80, 53, 41], Operations: ['52-11=41'] Exploring Operation: 80-53=27, Resulting Numbers: [41, 27] Generated Node #3: [41, 27] from Operation: 80-53=27 Current State: 14:[41, 27], Operations: ['52-11=41', '80-53=27'] Exploring Operation: 41-27=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 84, 9, 74, 19 ]
38
[ "84+9=93", "74-19=55", "93-55=38" ]
Current State: 38:[84, 9, 74, 19], Operations: [] Exploring Operation: 84+9=93, Resulting Numbers: [74, 19, 93] Generated Node #2: [74, 19, 93] from Operation: 84+9=93 Current State: 38:[74, 19, 93], Operations: ['84+9=93'] Exploring Operation: 74-19=55, Resulting Numbers: [93, 55] Generated Node #3: [93, 55] from Operation: 74-19=55 Current State: 38:[93, 55], Operations: ['84+9=93', '74-19=55'] Exploring Operation: 93-55=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 1, 30, 90, 28 ]
24
[ "28-1=27", "90/30=3", "27-3=24" ]
Current State: 24:[1, 30, 90, 28], Operations: [] Exploring Operation: 28-1=27, Resulting Numbers: [30, 90, 27] Generated Node #2: [30, 90, 27] from Operation: 28-1=27 Current State: 24:[30, 90, 27], Operations: ['28-1=27'] Exploring Operation: 90/30=3, Resulting Numbers: [27, 3] Generated Node #3: [27, 3] from Operation: 90/30=3 Current State: 24:[27, 3], Operations: ['28-1=27', '90/30=3'] Exploring Operation: 27-3=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 16, 52, 3, 67 ]
93
[ "52-16=36", "67-36=31", "3*31=93" ]
Current State: 93:[16, 52, 3, 67], Operations: [] Exploring Operation: 52-16=36, Resulting Numbers: [3, 67, 36] Generated Node #2: [3, 67, 36] from Operation: 52-16=36 Current State: 93:[3, 67, 36], Operations: ['52-16=36'] Exploring Operation: 67-36=31, Resulting Numbers: [3, 31] Generated Node #3: [3, 31] from Operation: 67-36=31 Current State: 93:[3, 31], Operations: ['52-16=36', '67-36=31'] Exploring Operation: 3*31=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 14, 26, 66, 25 ]
20
[ "25-14=11", "66/11=6", "26-6=20" ]
Current State: 20:[14, 26, 66, 25], Operations: [] Exploring Operation: 25-14=11, Resulting Numbers: [26, 66, 11] Generated Node #2: [26, 66, 11] from Operation: 25-14=11 Current State: 20:[26, 66, 11], Operations: ['25-14=11'] Exploring Operation: 66/11=6, Resulting Numbers: [26, 6] Generated Node #3: [26, 6] from Operation: 66/11=6 Current State: 20:[26, 6], Operations: ['25-14=11', '66/11=6'] Exploring Operation: 26-6=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 63, 82, 9, 93 ]
25
[ "63/9=7", "82+93=175", "175/7=25" ]
Current State: 25:[63, 82, 9, 93], Operations: [] Exploring Operation: 63/9=7, Resulting Numbers: [82, 93, 7] Generated Node #2: [82, 93, 7] from Operation: 63/9=7 Current State: 25:[82, 93, 7], Operations: ['63/9=7'] Exploring Operation: 82+93=175, Resulting Numbers: [7, 175] Generated Node #3: [7, 175] from Operation: 82+93=175 Current State: 25:[7, 175], Operations: ['63/9=7', '82+93=175'] Exploring Operation: 175/7=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 14, 22, 7, 25 ]
24
[ "22-14=8", "7+25=32", "32-8=24" ]
Current State: 24:[14, 22, 7, 25], Operations: [] Exploring Operation: 22-14=8, Resulting Numbers: [7, 25, 8] Generated Node #2: [7, 25, 8] from Operation: 22-14=8 Current State: 24:[7, 25, 8], Operations: ['22-14=8'] Exploring Operation: 7+25=32, Resulting Numbers: [8, 32] Generated Node #3: [8, 32] from Operation: 7+25=32 Current State: 24:[8, 32], Operations: ['22-14=8', '7+25=32'] Exploring Operation: 32-8=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 27, 9, 92, 9 ]
88
[ "27+9=36", "36/9=4", "92-4=88" ]
Current State: 88:[27, 9, 92, 9], Operations: [] Exploring Operation: 27+9=36, Resulting Numbers: [92, 36] Generated Node #2: [92, 36] from Operation: 27+9=36 Current State: 88:[92, 36], Operations: ['27+9=36'] Exploring Operation: 36/9=4, Resulting Numbers: [92, 4] Generated Node #3: [92, 4] from Operation: 36/9=4 Current State: 88:[92, 4], Operations: ['27+9=36', '36/9=4'] Exploring Operation: 92-4=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 17, 33, 71, 9 ]
78
[ "17*33=561", "71*9=639", "639-561=78" ]
Current State: 78:[17, 33, 71, 9], Operations: [] Exploring Operation: 17*33=561, Resulting Numbers: [71, 9, 561] Generated Node #2: [71, 9, 561] from Operation: 17*33=561 Current State: 78:[71, 9, 561], Operations: ['17*33=561'] Exploring Operation: 71*9=639, Resulting Numbers: [561, 639] Generated Node #3: [561, 639] from Operation: 71*9=639 Current State: 78:[561, 639], Operations: ['17*33=561', '71*9=639'] Exploring Operation: 639-561=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 33, 52, 21, 77 ]
75
[ "52-33=19", "77-21=56", "19+56=75" ]
Current State: 75:[33, 52, 21, 77], Operations: [] Exploring Operation: 52-33=19, Resulting Numbers: [21, 77, 19] Generated Node #2: [21, 77, 19] from Operation: 52-33=19 Current State: 75:[21, 77, 19], Operations: ['52-33=19'] Exploring Operation: 77-21=56, Resulting Numbers: [19, 56] Generated Node #3: [19, 56] from Operation: 77-21=56 Current State: 75:[19, 56], Operations: ['52-33=19', '77-21=56'] Exploring Operation: 19+56=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 62, 28, 34, 31 ]
87
[ "62+28=90", "34-31=3", "90-3=87" ]
Current State: 87:[62, 28, 34, 31], Operations: [] Exploring Operation: 62+28=90, Resulting Numbers: [34, 31, 90] Generated Node #2: [34, 31, 90] from Operation: 62+28=90 Current State: 87:[34, 31, 90], Operations: ['62+28=90'] Exploring Operation: 34-31=3, Resulting Numbers: [90, 3] Generated Node #3: [90, 3] from Operation: 34-31=3 Current State: 87:[90, 3], Operations: ['62+28=90', '34-31=3'] Exploring Operation: 90-3=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 63, 54, 10, 67 ]
21
[ "54+10=64", "67-64=3", "63/3=21" ]
Current State: 21:[63, 54, 10, 67], Operations: [] Exploring Operation: 54+10=64, Resulting Numbers: [63, 67, 64] Generated Node #2: [63, 67, 64] from Operation: 54+10=64 Current State: 21:[63, 67, 64], Operations: ['54+10=64'] Exploring Operation: 67-64=3, Resulting Numbers: [63, 3] Generated Node #3: [63, 3] from Operation: 67-64=3 Current State: 21:[63, 3], Operations: ['54+10=64', '67-64=3'] Exploring Operation: 63/3=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 8, 59, 9, 56 ]
96
[ "59+9=68", "68-56=12", "8*12=96" ]
Current State: 96:[8, 59, 9, 56], Operations: [] Exploring Operation: 59+9=68, Resulting Numbers: [8, 56, 68] Generated Node #2: [8, 56, 68] from Operation: 59+9=68 Current State: 96:[8, 56, 68], Operations: ['59+9=68'] Exploring Operation: 68-56=12, Resulting Numbers: [8, 12] Generated Node #3: [8, 12] from Operation: 68-56=12 Current State: 96:[8, 12], Operations: ['59+9=68', '68-56=12'] Exploring Operation: 8*12=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4