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
[ 27, 45, 67, 63 ]
69
[ "27+63=90", "90/45=2", "67+2=69" ]
Current State: 69:[27, 45, 67, 63], Operations: [] Exploring Operation: 27+63=90, Resulting Numbers: [45, 67, 90] Generated Node #2: [45, 67, 90] from Operation: 27+63=90 Current State: 69:[45, 67, 90], Operations: ['27+63=90'] Exploring Operation: 90/45=2, Resulting Numbers: [67, 2] Generated Node #3: [67, 2] from Operation: 90/45=2 Current State: 69:[67, 2], Operations: ['27+63=90', '90/45=2'] Exploring Operation: 67+2=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 10, 74, 77, 75 ]
42
[ "10+74=84", "77-75=2", "84/2=42" ]
Current State: 42:[10, 74, 77, 75], Operations: [] Exploring Operation: 10+74=84, Resulting Numbers: [77, 75, 84] Generated Node #2: [77, 75, 84] from Operation: 10+74=84 Current State: 42:[77, 75, 84], Operations: ['10+74=84'] Exploring Operation: 77-75=2, Resulting Numbers: [84, 2] Generated Node #3: [84, 2] from Operation: 77-75=2 Current State: 42:[84, 2], Operations: ['10+74=84', '77-75=2'] Exploring Operation: 84/2=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 28, 4, 35, 9 ]
64
[ "35-28=7", "9+7=16", "4*16=64" ]
Current State: 64:[28, 4, 35, 9], Operations: [] Exploring Operation: 35-28=7, Resulting Numbers: [4, 9, 7] Generated Node #2: [4, 9, 7] from Operation: 35-28=7 Current State: 64:[4, 9, 7], Operations: ['35-28=7'] Exploring Operation: 9+7=16, Resulting Numbers: [4, 16] Generated Node #3: [4, 16] from Operation: 9+7=16 Current State: 64:[4, 16], Operations: ['35-28=7', '9+7=16'] Exploring Operation: 4*16=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 24, 26, 65, 46 ]
55
[ "46-24=22", "65*22=1430", "1430/26=55" ]
Current State: 55:[24, 26, 65, 46], Operations: [] Exploring Operation: 46-24=22, Resulting Numbers: [26, 65, 22] Generated Node #2: [26, 65, 22] from Operation: 46-24=22 Current State: 55:[26, 65, 22], Operations: ['46-24=22'] Exploring Operation: 65*22=1430, Resulting Numbers: [26, 1430] Generated Node #3: [26, 1430] from Operation: 65*22=1430 Current State: 55:[26, 1430], Operations: ['46-24=22', '65*22=1430'] Exploring Operation: 1430/26=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 76, 99, 3, 41 ]
72
[ "76+99=175", "41+175=216", "216/3=72" ]
Current State: 72:[76, 99, 3, 41], Operations: [] Exploring Operation: 76+99=175, Resulting Numbers: [3, 41, 175] Generated Node #2: [3, 41, 175] from Operation: 76+99=175 Current State: 72:[3, 41, 175], Operations: ['76+99=175'] Exploring Operation: 41+175=216, Resulting Numbers: [3, 216] Generated Node #3: [3, 216] from Operation: 41+175=216 Current State: 72:[3, 216], Operations: ['76+99=175', '41+175=216'] Exploring Operation: 216/3=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 25, 20, 72, 2 ]
71
[ "20+72=92", "92/2=46", "25+46=71" ]
Current State: 71:[25, 20, 72, 2], Operations: [] Exploring Operation: 20+72=92, Resulting Numbers: [25, 2, 92] Generated Node #2: [25, 2, 92] from Operation: 20+72=92 Current State: 71:[25, 2, 92], Operations: ['20+72=92'] Exploring Operation: 92/2=46, Resulting Numbers: [25, 46] Generated Node #3: [25, 46] from Operation: 92/2=46 Current State: 71:[25, 46], Operations: ['20+72=92', '92/2=46'] Exploring Operation: 25+46=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 38, 2, 51, 64 ]
53
[ "38+2=40", "64-51=13", "40+13=53" ]
Current State: 53:[38, 2, 51, 64], Operations: [] Exploring Operation: 38+2=40, Resulting Numbers: [51, 64, 40] Generated Node #2: [51, 64, 40] from Operation: 38+2=40 Current State: 53:[51, 64, 40], Operations: ['38+2=40'] Exploring Operation: 64-51=13, Resulting Numbers: [40, 13] Generated Node #3: [40, 13] from Operation: 64-51=13 Current State: 53:[40, 13], Operations: ['38+2=40', '64-51=13'] Exploring Operation: 40+13=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 3, 10, 9, 28 ]
18
[ "3*10=30", "30-28=2", "9*2=18" ]
Current State: 18:[3, 10, 9, 28], Operations: [] Exploring Operation: 3*10=30, Resulting Numbers: [9, 28, 30] Generated Node #2: [9, 28, 30] from Operation: 3*10=30 Current State: 18:[9, 28, 30], Operations: ['3*10=30'] Exploring Operation: 30-28=2, Resulting Numbers: [9, 2] Generated Node #3: [9, 2] from Operation: 30-28=2 Current State: 18:[9, 2], Operations: ['3*10=30', '30-28=2'] Exploring Operation: 9*2=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 62, 31, 40, 28 ]
99
[ "62-31=31", "40+28=68", "31+68=99" ]
Current State: 99:[62, 31, 40, 28], Operations: [] Exploring Operation: 62-31=31, Resulting Numbers: [40, 28, 31] Generated Node #2: [40, 28, 31] from Operation: 62-31=31 Current State: 99:[40, 28, 31], Operations: ['62-31=31'] Exploring Operation: 40+28=68, Resulting Numbers: [31, 68] Generated Node #3: [31, 68] from Operation: 40+28=68 Current State: 99:[31, 68], Operations: ['62-31=31', '40+28=68'] Exploring Operation: 31+68=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 46, 48, 44, 57 ]
44
[ "57-46=11", "48-44=4", "11*4=44" ]
Current State: 44:[46, 48, 44, 57], Operations: [] Exploring Operation: 57-46=11, Resulting Numbers: [48, 44, 11] Generated Node #2: [48, 44, 11] from Operation: 57-46=11 Current State: 44:[48, 44, 11], Operations: ['57-46=11'] Exploring Operation: 48-44=4, Resulting Numbers: [11, 4] Generated Node #3: [11, 4] from Operation: 48-44=4 Current State: 44:[11, 4], Operations: ['57-46=11', '48-44=4'] Exploring Operation: 11*4=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 74, 7, 68, 76 ]
75
[ "74-7=67", "76-68=8", "67+8=75" ]
Current State: 75:[74, 7, 68, 76], Operations: [] Exploring Operation: 74-7=67, Resulting Numbers: [68, 76, 67] Generated Node #2: [68, 76, 67] from Operation: 74-7=67 Current State: 75:[68, 76, 67], Operations: ['74-7=67'] Exploring Operation: 76-68=8, Resulting Numbers: [67, 8] Generated Node #3: [67, 8] from Operation: 76-68=8 Current State: 75:[67, 8], Operations: ['74-7=67', '76-68=8'] Exploring Operation: 67+8=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 28, 24, 31, 44 ]
20
[ "28-24=4", "44/4=11", "31-11=20" ]
Current State: 20:[28, 24, 31, 44], Operations: [] Exploring Operation: 28-24=4, Resulting Numbers: [31, 44, 4] Generated Node #2: [31, 44, 4] from Operation: 28-24=4 Current State: 20:[31, 44, 4], Operations: ['28-24=4'] Exploring Operation: 44/4=11, Resulting Numbers: [31, 11] Generated Node #3: [31, 11] from Operation: 44/4=11 Current State: 20:[31, 11], Operations: ['28-24=4', '44/4=11'] Exploring Operation: 31-11=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 82, 92, 11, 66 ]
60
[ "92-82=10", "66/11=6", "10*6=60" ]
Current State: 60:[82, 92, 11, 66], Operations: [] Exploring Operation: 92-82=10, Resulting Numbers: [11, 66, 10] Generated Node #2: [11, 66, 10] from Operation: 92-82=10 Current State: 60:[11, 66, 10], Operations: ['92-82=10'] Exploring Operation: 66/11=6, Resulting Numbers: [10, 6] Generated Node #3: [10, 6] from Operation: 66/11=6 Current State: 60:[10, 6], Operations: ['92-82=10', '66/11=6'] Exploring Operation: 10*6=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 70, 2, 58, 91 ]
67
[ "70-58=12", "2*12=24", "91-24=67" ]
Current State: 67:[70, 2, 58, 91], Operations: [] Exploring Operation: 70-58=12, Resulting Numbers: [2, 91, 12] Generated Node #2: [2, 91, 12] from Operation: 70-58=12 Current State: 67:[2, 91, 12], Operations: ['70-58=12'] Exploring Operation: 2*12=24, Resulting Numbers: [91, 24] Generated Node #3: [91, 24] from Operation: 2*12=24 Current State: 67:[91, 24], Operations: ['70-58=12', '2*12=24'] Exploring Operation: 91-24=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 50, 11, 10, 63 ]
79
[ "50/10=5", "11+63=74", "5+74=79" ]
Current State: 79:[50, 11, 10, 63], Operations: [] Exploring Operation: 50/10=5, Resulting Numbers: [11, 63, 5] Generated Node #2: [11, 63, 5] from Operation: 50/10=5 Current State: 79:[11, 63, 5], Operations: ['50/10=5'] Exploring Operation: 11+63=74, Resulting Numbers: [5, 74] Generated Node #3: [5, 74] from Operation: 11+63=74 Current State: 79:[5, 74], Operations: ['50/10=5', '11+63=74'] Exploring Operation: 5+74=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 46, 71, 33, 54 ]
62
[ "71-46=25", "33+54=87", "87-25=62" ]
Current State: 62:[46, 71, 33, 54], Operations: [] Exploring Operation: 71-46=25, Resulting Numbers: [33, 54, 25] Generated Node #2: [33, 54, 25] from Operation: 71-46=25 Current State: 62:[33, 54, 25], Operations: ['71-46=25'] Exploring Operation: 33+54=87, Resulting Numbers: [25, 87] Generated Node #3: [25, 87] from Operation: 33+54=87 Current State: 62:[25, 87], Operations: ['71-46=25', '33+54=87'] Exploring Operation: 87-25=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 55, 34, 41, 72 ]
43
[ "72-55=17", "34/17=2", "41+2=43" ]
Current State: 43:[55, 34, 41, 72], Operations: [] Exploring Operation: 72-55=17, Resulting Numbers: [34, 41, 17] Generated Node #2: [34, 41, 17] from Operation: 72-55=17 Current State: 43:[34, 41, 17], Operations: ['72-55=17'] Exploring Operation: 34/17=2, Resulting Numbers: [41, 2] Generated Node #3: [41, 2] from Operation: 34/17=2 Current State: 43:[41, 2], Operations: ['72-55=17', '34/17=2'] Exploring Operation: 41+2=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 16, 35, 88, 49 ]
64
[ "88-35=53", "53-49=4", "16*4=64" ]
Current State: 64:[16, 35, 88, 49], Operations: [] Exploring Operation: 88-35=53, Resulting Numbers: [16, 49, 53] Generated Node #2: [16, 49, 53] from Operation: 88-35=53 Current State: 64:[16, 49, 53], Operations: ['88-35=53'] Exploring Operation: 53-49=4, Resulting Numbers: [16, 4] Generated Node #3: [16, 4] from Operation: 53-49=4 Current State: 64:[16, 4], Operations: ['88-35=53', '53-49=4'] Exploring Operation: 16*4=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 65, 61, 39, 22 ]
49
[ "65-61=4", "22*4=88", "88-39=49" ]
Current State: 49:[65, 61, 39, 22], Operations: [] Exploring Operation: 65-61=4, Resulting Numbers: [39, 22, 4] Generated Node #2: [39, 22, 4] from Operation: 65-61=4 Current State: 49:[39, 22, 4], Operations: ['65-61=4'] Exploring Operation: 22*4=88, Resulting Numbers: [39, 88] Generated Node #3: [39, 88] from Operation: 22*4=88 Current State: 49:[39, 88], Operations: ['65-61=4', '22*4=88'] Exploring Operation: 88-39=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 52, 40, 73, 40 ]
20
[ "73-52=21", "40/40=1", "21-1=20" ]
Current State: 20:[52, 40, 73, 40], Operations: [] Exploring Operation: 73-52=21, Resulting Numbers: [40, 40, 21] Generated Node #2: [40, 40, 21] from Operation: 73-52=21 Current State: 20:[40, 40, 21], Operations: ['73-52=21'] Exploring Operation: 40/40=1, Resulting Numbers: [21, 1] Generated Node #3: [21, 1] from Operation: 40/40=1 Current State: 20:[21, 1], Operations: ['73-52=21', '40/40=1'] Exploring Operation: 21-1=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 37, 36, 2, 39 ]
13
[ "37-36=1", "2+1=3", "39/3=13" ]
Current State: 13:[37, 36, 2, 39], Operations: [] Exploring Operation: 37-36=1, Resulting Numbers: [2, 39, 1] Generated Node #2: [2, 39, 1] from Operation: 37-36=1 Current State: 13:[2, 39, 1], Operations: ['37-36=1'] Exploring Operation: 2+1=3, Resulting Numbers: [39, 3] Generated Node #3: [39, 3] from Operation: 2+1=3 Current State: 13:[39, 3], Operations: ['37-36=1', '2+1=3'] Exploring Operation: 39/3=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 63, 13, 89, 50 ]
52
[ "89-63=26", "26/13=2", "50+2=52" ]
Current State: 52:[63, 13, 89, 50], Operations: [] Exploring Operation: 89-63=26, Resulting Numbers: [13, 50, 26] Generated Node #2: [13, 50, 26] from Operation: 89-63=26 Current State: 52:[13, 50, 26], Operations: ['89-63=26'] Exploring Operation: 26/13=2, Resulting Numbers: [50, 2] Generated Node #3: [50, 2] from Operation: 26/13=2 Current State: 52:[50, 2], Operations: ['89-63=26', '26/13=2'] Exploring Operation: 50+2=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 66, 9, 25, 20 ]
23
[ "66+9=75", "75/25=3", "20+3=23" ]
Current State: 23:[66, 9, 25, 20], Operations: [] Exploring Operation: 66+9=75, Resulting Numbers: [25, 20, 75] Generated Node #2: [25, 20, 75] from Operation: 66+9=75 Current State: 23:[25, 20, 75], Operations: ['66+9=75'] Exploring Operation: 75/25=3, Resulting Numbers: [20, 3] Generated Node #3: [20, 3] from Operation: 75/25=3 Current State: 23:[20, 3], Operations: ['66+9=75', '75/25=3'] Exploring Operation: 20+3=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 26, 73, 21, 20 ]
48
[ "73-26=47", "21-20=1", "47+1=48" ]
Current State: 48:[26, 73, 21, 20], Operations: [] Exploring Operation: 73-26=47, Resulting Numbers: [21, 20, 47] Generated Node #2: [21, 20, 47] from Operation: 73-26=47 Current State: 48:[21, 20, 47], Operations: ['73-26=47'] Exploring Operation: 21-20=1, Resulting Numbers: [47, 1] Generated Node #3: [47, 1] from Operation: 21-20=1 Current State: 48:[47, 1], Operations: ['73-26=47', '21-20=1'] Exploring Operation: 47+1=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 36, 3, 96, 39 ]
63
[ "96-36=60", "60-39=21", "3*21=63" ]
Current State: 63:[36, 3, 96, 39], Operations: [] Exploring Operation: 96-36=60, Resulting Numbers: [3, 39, 60] Generated Node #2: [3, 39, 60] from Operation: 96-36=60 Current State: 63:[3, 39, 60], Operations: ['96-36=60'] Exploring Operation: 60-39=21, Resulting Numbers: [3, 21] Generated Node #3: [3, 21] from Operation: 60-39=21 Current State: 63:[3, 21], Operations: ['96-36=60', '60-39=21'] Exploring Operation: 3*21=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 62, 76, 68, 13 ]
41
[ "76-62=14", "68-13=55", "55-14=41" ]
Current State: 41:[62, 76, 68, 13], Operations: [] Exploring Operation: 76-62=14, Resulting Numbers: [68, 13, 14] Generated Node #2: [68, 13, 14] from Operation: 76-62=14 Current State: 41:[68, 13, 14], Operations: ['76-62=14'] Exploring Operation: 68-13=55, Resulting Numbers: [14, 55] Generated Node #3: [14, 55] from Operation: 68-13=55 Current State: 41:[14, 55], Operations: ['76-62=14', '68-13=55'] Exploring Operation: 55-14=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 26, 18, 88, 60 ]
24
[ "26*60=1560", "18*88=1584", "1584-1560=24" ]
Current State: 24:[26, 18, 88, 60], Operations: [] Exploring Operation: 26*60=1560, Resulting Numbers: [18, 88, 1560] Generated Node #2: [18, 88, 1560] from Operation: 26*60=1560 Current State: 24:[18, 88, 1560], Operations: ['26*60=1560'] Exploring Operation: 18*88=1584, Resulting Numbers: [1560, 1584] Generated Node #3: [1560, 1584] from Operation: 18*88=1584 Current State: 24:[1560, 1584], Operations: ['26*60=1560', '18*88=1584'] Exploring Operation: 1584-1560=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 81, 5, 74, 76 ]
51
[ "74+76=150", "150/5=30", "81-30=51" ]
Current State: 51:[81, 5, 74, 76], Operations: [] Exploring Operation: 74+76=150, Resulting Numbers: [81, 5, 150] Generated Node #2: [81, 5, 150] from Operation: 74+76=150 Current State: 51:[81, 5, 150], Operations: ['74+76=150'] Exploring Operation: 150/5=30, Resulting Numbers: [81, 30] Generated Node #3: [81, 30] from Operation: 150/5=30 Current State: 51:[81, 30], Operations: ['74+76=150', '150/5=30'] Exploring Operation: 81-30=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 78, 66, 84, 24 ]
42
[ "78-66=12", "84*12=1008", "1008/24=42" ]
Current State: 42:[78, 66, 84, 24], Operations: [] Exploring Operation: 78-66=12, Resulting Numbers: [84, 24, 12] Generated Node #2: [84, 24, 12] from Operation: 78-66=12 Current State: 42:[84, 24, 12], Operations: ['78-66=12'] Exploring Operation: 84*12=1008, Resulting Numbers: [24, 1008] Generated Node #3: [24, 1008] from Operation: 84*12=1008 Current State: 42:[24, 1008], Operations: ['78-66=12', '84*12=1008'] Exploring Operation: 1008/24=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 35, 98, 90, 45 ]
28
[ "35*90=3150", "3150/45=70", "98-70=28" ]
Current State: 28:[35, 98, 90, 45], Operations: [] Exploring Operation: 35*90=3150, Resulting Numbers: [98, 45, 3150] Generated Node #2: [98, 45, 3150] from Operation: 35*90=3150 Current State: 28:[98, 45, 3150], Operations: ['35*90=3150'] Exploring Operation: 3150/45=70, Resulting Numbers: [98, 70] Generated Node #3: [98, 70] from Operation: 3150/45=70 Current State: 28:[98, 70], Operations: ['35*90=3150', '3150/45=70'] Exploring Operation: 98-70=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 84, 55, 61, 83 ]
64
[ "83-55=28", "84/28=3", "61+3=64" ]
Current State: 64:[84, 55, 61, 83], Operations: [] Exploring Operation: 83-55=28, Resulting Numbers: [84, 61, 28] Generated Node #2: [84, 61, 28] from Operation: 83-55=28 Current State: 64:[84, 61, 28], Operations: ['83-55=28'] Exploring Operation: 84/28=3, Resulting Numbers: [61, 3] Generated Node #3: [61, 3] from Operation: 84/28=3 Current State: 64:[61, 3], Operations: ['83-55=28', '84/28=3'] Exploring Operation: 61+3=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 89, 63, 9, 31 ]
65
[ "89-31=58", "63/9=7", "58+7=65" ]
Current State: 65:[89, 63, 9, 31], Operations: [] Exploring Operation: 89-31=58, Resulting Numbers: [63, 9, 58] Generated Node #2: [63, 9, 58] from Operation: 89-31=58 Current State: 65:[63, 9, 58], Operations: ['89-31=58'] Exploring Operation: 63/9=7, Resulting Numbers: [58, 7] Generated Node #3: [58, 7] from Operation: 63/9=7 Current State: 65:[58, 7], Operations: ['89-31=58', '63/9=7'] Exploring Operation: 58+7=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 1, 29, 2, 26 ]
12
[ "29-1=28", "28/2=14", "26-14=12" ]
Current State: 12:[1, 29, 2, 26], Operations: [] Exploring Operation: 29-1=28, Resulting Numbers: [2, 26, 28] Generated Node #2: [2, 26, 28] from Operation: 29-1=28 Current State: 12:[2, 26, 28], Operations: ['29-1=28'] Exploring Operation: 28/2=14, Resulting Numbers: [26, 14] Generated Node #3: [26, 14] from Operation: 28/2=14 Current State: 12:[26, 14], Operations: ['29-1=28', '28/2=14'] Exploring Operation: 26-14=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 32, 43, 6, 12 ]
83
[ "43-32=11", "6*12=72", "11+72=83" ]
Current State: 83:[32, 43, 6, 12], Operations: [] Exploring Operation: 43-32=11, Resulting Numbers: [6, 12, 11] Generated Node #2: [6, 12, 11] from Operation: 43-32=11 Current State: 83:[6, 12, 11], Operations: ['43-32=11'] Exploring Operation: 6*12=72, Resulting Numbers: [11, 72] Generated Node #3: [11, 72] from Operation: 6*12=72 Current State: 83:[11, 72], Operations: ['43-32=11', '6*12=72'] Exploring Operation: 11+72=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 28, 11, 87, 50 ]
20
[ "28-11=17", "87-50=37", "37-17=20" ]
Current State: 20:[28, 11, 87, 50], Operations: [] Exploring Operation: 28-11=17, Resulting Numbers: [87, 50, 17] Generated Node #2: [87, 50, 17] from Operation: 28-11=17 Current State: 20:[87, 50, 17], Operations: ['28-11=17'] Exploring Operation: 87-50=37, Resulting Numbers: [17, 37] Generated Node #3: [17, 37] from Operation: 87-50=37 Current State: 20:[17, 37], Operations: ['28-11=17', '87-50=37'] Exploring Operation: 37-17=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 29, 95, 11, 8 ]
19
[ "29+11=40", "95*8=760", "760/40=19" ]
Current State: 19:[29, 95, 11, 8], Operations: [] Exploring Operation: 29+11=40, Resulting Numbers: [95, 8, 40] Generated Node #2: [95, 8, 40] from Operation: 29+11=40 Current State: 19:[95, 8, 40], Operations: ['29+11=40'] Exploring Operation: 95*8=760, Resulting Numbers: [40, 760] Generated Node #3: [40, 760] from Operation: 95*8=760 Current State: 19:[40, 760], Operations: ['29+11=40', '95*8=760'] Exploring Operation: 760/40=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 17, 24, 62, 98 ]
48
[ "24-17=7", "98/7=14", "62-14=48" ]
Current State: 48:[17, 24, 62, 98], Operations: [] Exploring Operation: 24-17=7, Resulting Numbers: [62, 98, 7] Generated Node #2: [62, 98, 7] from Operation: 24-17=7 Current State: 48:[62, 98, 7], Operations: ['24-17=7'] Exploring Operation: 98/7=14, Resulting Numbers: [62, 14] Generated Node #3: [62, 14] from Operation: 98/7=14 Current State: 48:[62, 14], Operations: ['24-17=7', '98/7=14'] Exploring Operation: 62-14=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 51, 31, 7, 15 ]
60
[ "51+31=82", "7+15=22", "82-22=60" ]
Current State: 60:[51, 31, 7, 15], Operations: [] Exploring Operation: 51+31=82, Resulting Numbers: [7, 15, 82] Generated Node #2: [7, 15, 82] from Operation: 51+31=82 Current State: 60:[7, 15, 82], Operations: ['51+31=82'] Exploring Operation: 7+15=22, Resulting Numbers: [82, 22] Generated Node #3: [82, 22] from Operation: 7+15=22 Current State: 60:[82, 22], Operations: ['51+31=82', '7+15=22'] Exploring Operation: 82-22=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 51, 59, 4, 69 ]
91
[ "69-59=10", "4*10=40", "51+40=91" ]
Current State: 91:[51, 59, 4, 69], Operations: [] Exploring Operation: 69-59=10, Resulting Numbers: [51, 4, 10] Generated Node #2: [51, 4, 10] from Operation: 69-59=10 Current State: 91:[51, 4, 10], Operations: ['69-59=10'] Exploring Operation: 4*10=40, Resulting Numbers: [51, 40] Generated Node #3: [51, 40] from Operation: 4*10=40 Current State: 91:[51, 40], Operations: ['69-59=10', '4*10=40'] Exploring Operation: 51+40=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 94, 39, 20, 34 ]
36
[ "94-34=60", "60/20=3", "39-3=36" ]
Current State: 36:[94, 39, 20, 34], Operations: [] Exploring Operation: 94-34=60, Resulting Numbers: [39, 20, 60] Generated Node #2: [39, 20, 60] from Operation: 94-34=60 Current State: 36:[39, 20, 60], Operations: ['94-34=60'] Exploring Operation: 60/20=3, Resulting Numbers: [39, 3] Generated Node #3: [39, 3] from Operation: 60/20=3 Current State: 36:[39, 3], Operations: ['94-34=60', '60/20=3'] Exploring Operation: 39-3=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 8, 17, 99, 92 ]
32
[ "8+17=25", "99-92=7", "25+7=32" ]
Current State: 32:[8, 17, 99, 92], Operations: [] Exploring Operation: 8+17=25, Resulting Numbers: [99, 92, 25] Generated Node #2: [99, 92, 25] from Operation: 8+17=25 Current State: 32:[99, 92, 25], Operations: ['8+17=25'] Exploring Operation: 99-92=7, Resulting Numbers: [25, 7] Generated Node #3: [25, 7] from Operation: 99-92=7 Current State: 32:[25, 7], Operations: ['8+17=25', '99-92=7'] Exploring Operation: 25+7=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 21, 97, 53, 19 ]
57
[ "97-21=76", "76/19=4", "53+4=57" ]
Current State: 57:[21, 97, 53, 19], Operations: [] Exploring Operation: 97-21=76, Resulting Numbers: [53, 19, 76] Generated Node #2: [53, 19, 76] from Operation: 97-21=76 Current State: 57:[53, 19, 76], Operations: ['97-21=76'] Exploring Operation: 76/19=4, Resulting Numbers: [53, 4] Generated Node #3: [53, 4] from Operation: 76/19=4 Current State: 57:[53, 4], Operations: ['97-21=76', '76/19=4'] Exploring Operation: 53+4=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 17, 63, 75, 7 ]
35
[ "17+63=80", "80-75=5", "7*5=35" ]
Current State: 35:[17, 63, 75, 7], Operations: [] Exploring Operation: 17+63=80, Resulting Numbers: [75, 7, 80] Generated Node #2: [75, 7, 80] from Operation: 17+63=80 Current State: 35:[75, 7, 80], Operations: ['17+63=80'] Exploring Operation: 80-75=5, Resulting Numbers: [7, 5] Generated Node #3: [7, 5] from Operation: 80-75=5 Current State: 35:[7, 5], Operations: ['17+63=80', '80-75=5'] Exploring Operation: 7*5=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 7, 91, 46, 13 ]
47
[ "91/7=13", "13/13=1", "46+1=47" ]
Current State: 47:[7, 91, 46, 13], Operations: [] Exploring Operation: 91/7=13, Resulting Numbers: [46, 13, 13] Generated Node #2: [46, 13, 13] from Operation: 91/7=13 Current State: 47:[46, 13, 13], Operations: ['91/7=13'] Exploring Operation: 13/13=1, Resulting Numbers: [46, 1] Generated Node #3: [46, 1] from Operation: 13/13=1 Current State: 47:[46, 1], Operations: ['91/7=13', '13/13=1'] Exploring Operation: 46+1=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 80, 63, 37, 80 ]
60
[ "80-63=17", "80-37=43", "17+43=60" ]
Current State: 60:[80, 63, 37, 80], Operations: [] Exploring Operation: 80-63=17, Resulting Numbers: [37, 17] Generated Node #2: [37, 17] from Operation: 80-63=17 Current State: 60:[37, 17], Operations: ['80-63=17'] Exploring Operation: 80-37=43, Resulting Numbers: [17, 43] Generated Node #3: [17, 43] from Operation: 80-37=43 Current State: 60:[17, 43], Operations: ['80-63=17', '80-37=43'] Exploring Operation: 17+43=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 21, 89, 96, 67 ]
64
[ "96-89=7", "21/7=3", "67-3=64" ]
Current State: 64:[21, 89, 96, 67], Operations: [] Exploring Operation: 96-89=7, Resulting Numbers: [21, 67, 7] Generated Node #2: [21, 67, 7] from Operation: 96-89=7 Current State: 64:[21, 67, 7], Operations: ['96-89=7'] Exploring Operation: 21/7=3, Resulting Numbers: [67, 3] Generated Node #3: [67, 3] from Operation: 21/7=3 Current State: 64:[67, 3], Operations: ['96-89=7', '21/7=3'] Exploring Operation: 67-3=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 62, 5, 84, 73 ]
29
[ "73-62=11", "5*11=55", "84-55=29" ]
Current State: 29:[62, 5, 84, 73], Operations: [] Exploring Operation: 73-62=11, Resulting Numbers: [5, 84, 11] Generated Node #2: [5, 84, 11] from Operation: 73-62=11 Current State: 29:[5, 84, 11], Operations: ['73-62=11'] Exploring Operation: 5*11=55, Resulting Numbers: [84, 55] Generated Node #3: [84, 55] from Operation: 5*11=55 Current State: 29:[84, 55], Operations: ['73-62=11', '5*11=55'] Exploring Operation: 84-55=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 49, 87, 19, 2 ]
87
[ "49+87=136", "136/2=68", "19+68=87" ]
Current State: 87:[49, 87, 19, 2], Operations: [] Exploring Operation: 49+87=136, Resulting Numbers: [19, 2, 136] Generated Node #2: [19, 2, 136] from Operation: 49+87=136 Current State: 87:[19, 2, 136], Operations: ['49+87=136'] Exploring Operation: 136/2=68, Resulting Numbers: [19, 68] Generated Node #3: [19, 68] from Operation: 136/2=68 Current State: 87:[19, 68], Operations: ['49+87=136', '136/2=68'] Exploring Operation: 19+68=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 10, 2, 6, 89 ]
49
[ "6-2=4", "10*4=40", "89-40=49" ]
Current State: 49:[10, 2, 6, 89], Operations: [] Exploring Operation: 6-2=4, Resulting Numbers: [10, 89, 4] Generated Node #2: [10, 89, 4] from Operation: 6-2=4 Current State: 49:[10, 89, 4], Operations: ['6-2=4'] Exploring Operation: 10*4=40, Resulting Numbers: [89, 40] Generated Node #3: [89, 40] from Operation: 10*4=40 Current State: 49:[89, 40], Operations: ['6-2=4', '10*4=40'] Exploring Operation: 89-40=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 99, 37, 15, 38 ]
34
[ "99+15=114", "114/38=3", "37-3=34" ]
Current State: 34:[99, 37, 15, 38], Operations: [] Exploring Operation: 99+15=114, Resulting Numbers: [37, 38, 114] Generated Node #2: [37, 38, 114] from Operation: 99+15=114 Current State: 34:[37, 38, 114], Operations: ['99+15=114'] Exploring Operation: 114/38=3, Resulting Numbers: [37, 3] Generated Node #3: [37, 3] from Operation: 114/38=3 Current State: 34:[37, 3], Operations: ['99+15=114', '114/38=3'] Exploring Operation: 37-3=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 65, 38, 32, 25 ]
84
[ "65-38=27", "32+25=57", "27+57=84" ]
Current State: 84:[65, 38, 32, 25], Operations: [] Exploring Operation: 65-38=27, Resulting Numbers: [32, 25, 27] Generated Node #2: [32, 25, 27] from Operation: 65-38=27 Current State: 84:[32, 25, 27], Operations: ['65-38=27'] Exploring Operation: 32+25=57, Resulting Numbers: [27, 57] Generated Node #3: [27, 57] from Operation: 32+25=57 Current State: 84:[27, 57], Operations: ['65-38=27', '32+25=57'] Exploring Operation: 27+57=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 34, 86, 70, 4 ]
57
[ "86-34=52", "52/4=13", "70-13=57" ]
Current State: 57:[34, 86, 70, 4], Operations: [] Exploring Operation: 86-34=52, Resulting Numbers: [70, 4, 52] Generated Node #2: [70, 4, 52] from Operation: 86-34=52 Current State: 57:[70, 4, 52], Operations: ['86-34=52'] Exploring Operation: 52/4=13, Resulting Numbers: [70, 13] Generated Node #3: [70, 13] from Operation: 52/4=13 Current State: 57:[70, 13], Operations: ['86-34=52', '52/4=13'] Exploring Operation: 70-13=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 25, 5, 61, 80 ]
30
[ "25+61=86", "86-80=6", "5*6=30" ]
Current State: 30:[25, 5, 61, 80], Operations: [] Exploring Operation: 25+61=86, Resulting Numbers: [5, 80, 86] Generated Node #2: [5, 80, 86] from Operation: 25+61=86 Current State: 30:[5, 80, 86], Operations: ['25+61=86'] Exploring Operation: 86-80=6, Resulting Numbers: [5, 6] Generated Node #3: [5, 6] from Operation: 86-80=6 Current State: 30:[5, 6], Operations: ['25+61=86', '86-80=6'] Exploring Operation: 5*6=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 29, 20, 32, 91 ]
74
[ "29+20=49", "32+91=123", "123-49=74" ]
Current State: 74:[29, 20, 32, 91], Operations: [] Exploring Operation: 29+20=49, Resulting Numbers: [32, 91, 49] Generated Node #2: [32, 91, 49] from Operation: 29+20=49 Current State: 74:[32, 91, 49], Operations: ['29+20=49'] Exploring Operation: 32+91=123, Resulting Numbers: [49, 123] Generated Node #3: [49, 123] from Operation: 32+91=123 Current State: 74:[49, 123], Operations: ['29+20=49', '32+91=123'] Exploring Operation: 123-49=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 7, 39, 5, 12 ]
39
[ "7+39=46", "12-5=7", "46-7=39" ]
Current State: 39:[7, 39, 5, 12], Operations: [] Exploring Operation: 7+39=46, Resulting Numbers: [5, 12, 46] Generated Node #2: [5, 12, 46] from Operation: 7+39=46 Current State: 39:[5, 12, 46], Operations: ['7+39=46'] Exploring Operation: 12-5=7, Resulting Numbers: [46, 7] Generated Node #3: [46, 7] from Operation: 12-5=7 Current State: 39:[46, 7], Operations: ['7+39=46', '12-5=7'] Exploring Operation: 46-7=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 96, 33, 70, 4 ]
94
[ "70-4=66", "66/33=2", "96-2=94" ]
Current State: 94:[96, 33, 70, 4], Operations: [] Exploring Operation: 70-4=66, Resulting Numbers: [96, 33, 66] Generated Node #2: [96, 33, 66] from Operation: 70-4=66 Current State: 94:[96, 33, 66], Operations: ['70-4=66'] Exploring Operation: 66/33=2, Resulting Numbers: [96, 2] Generated Node #3: [96, 2] from Operation: 66/33=2 Current State: 94:[96, 2], Operations: ['70-4=66', '66/33=2'] Exploring Operation: 96-2=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 87, 57, 42, 45 ]
59
[ "57*45=2565", "2565-87=2478", "2478/42=59" ]
Current State: 59:[87, 57, 42, 45], Operations: [] Exploring Operation: 57*45=2565, Resulting Numbers: [87, 42, 2565] Generated Node #2: [87, 42, 2565] from Operation: 57*45=2565 Current State: 59:[87, 42, 2565], Operations: ['57*45=2565'] Exploring Operation: 2565-87=2478, Resulting Numbers: [42, 2478] Generated Node #3: [42, 2478] from Operation: 2565-87=2478 Current State: 59:[42, 2478], Operations: ['57*45=2565', '2565-87=2478'] Exploring Operation: 2478/42=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 14, 39, 32, 64 ]
62
[ "39-32=7", "14/7=2", "64-2=62" ]
Current State: 62:[14, 39, 32, 64], Operations: [] Exploring Operation: 39-32=7, Resulting Numbers: [14, 64, 7] Generated Node #2: [14, 64, 7] from Operation: 39-32=7 Current State: 62:[14, 64, 7], Operations: ['39-32=7'] Exploring Operation: 14/7=2, Resulting Numbers: [64, 2] Generated Node #3: [64, 2] from Operation: 14/7=2 Current State: 62:[64, 2], Operations: ['39-32=7', '14/7=2'] Exploring Operation: 64-2=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 91, 44, 21, 50 ]
63
[ "91-44=47", "50-47=3", "21*3=63" ]
Current State: 63:[91, 44, 21, 50], Operations: [] Exploring Operation: 91-44=47, Resulting Numbers: [21, 50, 47] Generated Node #2: [21, 50, 47] from Operation: 91-44=47 Current State: 63:[21, 50, 47], Operations: ['91-44=47'] Exploring Operation: 50-47=3, Resulting Numbers: [21, 3] Generated Node #3: [21, 3] from Operation: 50-47=3 Current State: 63:[21, 3], Operations: ['91-44=47', '50-47=3'] Exploring Operation: 21*3=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 33, 5, 89, 80 ]
40
[ "89-33=56", "80/5=16", "56-16=40" ]
Current State: 40:[33, 5, 89, 80], Operations: [] Exploring Operation: 89-33=56, Resulting Numbers: [5, 80, 56] Generated Node #2: [5, 80, 56] from Operation: 89-33=56 Current State: 40:[5, 80, 56], Operations: ['89-33=56'] Exploring Operation: 80/5=16, Resulting Numbers: [56, 16] Generated Node #3: [56, 16] from Operation: 80/5=16 Current State: 40:[56, 16], Operations: ['89-33=56', '80/5=16'] Exploring Operation: 56-16=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 21, 63, 60, 67 ]
60
[ "63-60=3", "21/3=7", "67-7=60" ]
Current State: 60:[21, 63, 60, 67], Operations: [] Exploring Operation: 63-60=3, Resulting Numbers: [21, 67, 3] Generated Node #2: [21, 67, 3] from Operation: 63-60=3 Current State: 60:[21, 67, 3], Operations: ['63-60=3'] Exploring Operation: 21/3=7, Resulting Numbers: [67, 7] Generated Node #3: [67, 7] from Operation: 21/3=7 Current State: 60:[67, 7], Operations: ['63-60=3', '21/3=7'] Exploring Operation: 67-7=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 55, 10, 54, 2 ]
33
[ "54-10=44", "2*44=88", "88-55=33" ]
Current State: 33:[55, 10, 54, 2], Operations: [] Exploring Operation: 54-10=44, Resulting Numbers: [55, 2, 44] Generated Node #2: [55, 2, 44] from Operation: 54-10=44 Current State: 33:[55, 2, 44], Operations: ['54-10=44'] Exploring Operation: 2*44=88, Resulting Numbers: [55, 88] Generated Node #3: [55, 88] from Operation: 2*44=88 Current State: 33:[55, 88], Operations: ['54-10=44', '2*44=88'] Exploring Operation: 88-55=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 66, 35, 5, 82 ]
73
[ "66-35=31", "5*31=155", "155-82=73" ]
Current State: 73:[66, 35, 5, 82], Operations: [] Exploring Operation: 66-35=31, Resulting Numbers: [5, 82, 31] Generated Node #2: [5, 82, 31] from Operation: 66-35=31 Current State: 73:[5, 82, 31], Operations: ['66-35=31'] Exploring Operation: 5*31=155, Resulting Numbers: [82, 155] Generated Node #3: [82, 155] from Operation: 5*31=155 Current State: 73:[82, 155], Operations: ['66-35=31', '5*31=155'] Exploring Operation: 155-82=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 27, 24, 48, 53 ]
46
[ "27+24=51", "53-48=5", "51-5=46" ]
Current State: 46:[27, 24, 48, 53], Operations: [] Exploring Operation: 27+24=51, Resulting Numbers: [48, 53, 51] Generated Node #2: [48, 53, 51] from Operation: 27+24=51 Current State: 46:[48, 53, 51], Operations: ['27+24=51'] Exploring Operation: 53-48=5, Resulting Numbers: [51, 5] Generated Node #3: [51, 5] from Operation: 53-48=5 Current State: 46:[51, 5], Operations: ['27+24=51', '53-48=5'] Exploring Operation: 51-5=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 15, 73, 26, 97 ]
17
[ "15+73=88", "97-26=71", "88-71=17" ]
Current State: 17:[15, 73, 26, 97], Operations: [] Exploring Operation: 15+73=88, Resulting Numbers: [26, 97, 88] Generated Node #2: [26, 97, 88] from Operation: 15+73=88 Current State: 17:[26, 97, 88], Operations: ['15+73=88'] Exploring Operation: 97-26=71, Resulting Numbers: [88, 71] Generated Node #3: [88, 71] from Operation: 97-26=71 Current State: 17:[88, 71], Operations: ['15+73=88', '97-26=71'] Exploring Operation: 88-71=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 29, 47, 10, 87 ]
59
[ "47-29=18", "87-10=77", "77-18=59" ]
Current State: 59:[29, 47, 10, 87], Operations: [] Exploring Operation: 47-29=18, Resulting Numbers: [10, 87, 18] Generated Node #2: [10, 87, 18] from Operation: 47-29=18 Current State: 59:[10, 87, 18], Operations: ['47-29=18'] Exploring Operation: 87-10=77, Resulting Numbers: [18, 77] Generated Node #3: [18, 77] from Operation: 87-10=77 Current State: 59:[18, 77], Operations: ['47-29=18', '87-10=77'] Exploring Operation: 77-18=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 10, 74, 82, 62 ]
38
[ "74-62=12", "10*12=120", "120-82=38" ]
Current State: 38:[10, 74, 82, 62], Operations: [] Exploring Operation: 74-62=12, Resulting Numbers: [10, 82, 12] Generated Node #2: [10, 82, 12] from Operation: 74-62=12 Current State: 38:[10, 82, 12], Operations: ['74-62=12'] Exploring Operation: 10*12=120, Resulting Numbers: [82, 120] Generated Node #3: [82, 120] from Operation: 10*12=120 Current State: 38:[82, 120], Operations: ['74-62=12', '10*12=120'] Exploring Operation: 120-82=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 13, 47, 13, 27 ]
47
[ "13+13=26", "27-26=1", "47*1=47" ]
Current State: 47:[13, 47, 13, 27], Operations: [] Exploring Operation: 13+13=26, Resulting Numbers: [47, 27, 26] Generated Node #2: [47, 27, 26] from Operation: 13+13=26 Current State: 47:[47, 27, 26], Operations: ['13+13=26'] Exploring Operation: 27-26=1, Resulting Numbers: [47, 1] Generated Node #3: [47, 1] from Operation: 27-26=1 Current State: 47:[47, 1], Operations: ['13+13=26', '27-26=1'] Exploring Operation: 47*1=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 22, 19, 87, 38 ]
29
[ "22+19=41", "41-38=3", "87/3=29" ]
Current State: 29:[22, 19, 87, 38], Operations: [] Exploring Operation: 22+19=41, Resulting Numbers: [87, 38, 41] Generated Node #2: [87, 38, 41] from Operation: 22+19=41 Current State: 29:[87, 38, 41], Operations: ['22+19=41'] Exploring Operation: 41-38=3, Resulting Numbers: [87, 3] Generated Node #3: [87, 3] from Operation: 41-38=3 Current State: 29:[87, 3], Operations: ['22+19=41', '41-38=3'] Exploring Operation: 87/3=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 73, 35, 27, 28 ]
53
[ "73+35=108", "27+28=55", "108-55=53" ]
Current State: 53:[73, 35, 27, 28], Operations: [] Exploring Operation: 73+35=108, Resulting Numbers: [27, 28, 108] Generated Node #2: [27, 28, 108] from Operation: 73+35=108 Current State: 53:[27, 28, 108], Operations: ['73+35=108'] Exploring Operation: 27+28=55, Resulting Numbers: [108, 55] Generated Node #3: [108, 55] from Operation: 27+28=55 Current State: 53:[108, 55], Operations: ['73+35=108', '27+28=55'] Exploring Operation: 108-55=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 33, 5, 59, 2 ]
36
[ "59-33=26", "5*2=10", "26+10=36" ]
Current State: 36:[33, 5, 59, 2], Operations: [] Exploring Operation: 59-33=26, Resulting Numbers: [5, 2, 26] Generated Node #2: [5, 2, 26] from Operation: 59-33=26 Current State: 36:[5, 2, 26], Operations: ['59-33=26'] Exploring Operation: 5*2=10, Resulting Numbers: [26, 10] Generated Node #3: [26, 10] from Operation: 5*2=10 Current State: 36:[26, 10], Operations: ['59-33=26', '5*2=10'] Exploring Operation: 26+10=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 17, 27, 98, 60 ]
57
[ "98-17=81", "81/27=3", "60-3=57" ]
Current State: 57:[17, 27, 98, 60], Operations: [] Exploring Operation: 98-17=81, Resulting Numbers: [27, 60, 81] Generated Node #2: [27, 60, 81] from Operation: 98-17=81 Current State: 57:[27, 60, 81], Operations: ['98-17=81'] Exploring Operation: 81/27=3, Resulting Numbers: [60, 3] Generated Node #3: [60, 3] from Operation: 81/27=3 Current State: 57:[60, 3], Operations: ['98-17=81', '81/27=3'] Exploring Operation: 60-3=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 2, 48, 49, 53 ]
59
[ "53-48=5", "2*5=10", "49+10=59" ]
Current State: 59:[2, 48, 49, 53], Operations: [] Exploring Operation: 53-48=5, Resulting Numbers: [2, 49, 5] Generated Node #2: [2, 49, 5] from Operation: 53-48=5 Current State: 59:[2, 49, 5], Operations: ['53-48=5'] Exploring Operation: 2*5=10, Resulting Numbers: [49, 10] Generated Node #3: [49, 10] from Operation: 2*5=10 Current State: 59:[49, 10], Operations: ['53-48=5', '2*5=10'] Exploring Operation: 49+10=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 61, 70, 21, 60 ]
90
[ "70-61=9", "21+60=81", "9+81=90" ]
Current State: 90:[61, 70, 21, 60], Operations: [] Exploring Operation: 70-61=9, Resulting Numbers: [21, 60, 9] Generated Node #2: [21, 60, 9] from Operation: 70-61=9 Current State: 90:[21, 60, 9], Operations: ['70-61=9'] Exploring Operation: 21+60=81, Resulting Numbers: [9, 81] Generated Node #3: [9, 81] from Operation: 21+60=81 Current State: 90:[9, 81], Operations: ['70-61=9', '21+60=81'] Exploring Operation: 9+81=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 60, 94, 95, 93 ]
77
[ "60+94=154", "95-93=2", "154/2=77" ]
Current State: 77:[60, 94, 95, 93], Operations: [] Exploring Operation: 60+94=154, Resulting Numbers: [95, 93, 154] Generated Node #2: [95, 93, 154] from Operation: 60+94=154 Current State: 77:[95, 93, 154], Operations: ['60+94=154'] Exploring Operation: 95-93=2, Resulting Numbers: [154, 2] Generated Node #3: [154, 2] from Operation: 95-93=2 Current State: 77:[154, 2], Operations: ['60+94=154', '95-93=2'] Exploring Operation: 154/2=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 77, 56, 26, 81 ]
40
[ "81-77=4", "56/4=14", "26+14=40" ]
Current State: 40:[77, 56, 26, 81], Operations: [] Exploring Operation: 81-77=4, Resulting Numbers: [56, 26, 4] Generated Node #2: [56, 26, 4] from Operation: 81-77=4 Current State: 40:[56, 26, 4], Operations: ['81-77=4'] Exploring Operation: 56/4=14, Resulting Numbers: [26, 14] Generated Node #3: [26, 14] from Operation: 56/4=14 Current State: 40:[26, 14], Operations: ['81-77=4', '56/4=14'] Exploring Operation: 26+14=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 20, 60, 63, 66 ]
40
[ "60+66=126", "20*126=2520", "2520/63=40" ]
Current State: 40:[20, 60, 63, 66], Operations: [] Exploring Operation: 60+66=126, Resulting Numbers: [20, 63, 126] Generated Node #2: [20, 63, 126] from Operation: 60+66=126 Current State: 40:[20, 63, 126], Operations: ['60+66=126'] Exploring Operation: 20*126=2520, Resulting Numbers: [63, 2520] Generated Node #3: [63, 2520] from Operation: 20*126=2520 Current State: 40:[63, 2520], Operations: ['60+66=126', '20*126=2520'] Exploring Operation: 2520/63=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 3, 1, 20, 85 ]
62
[ "3*1=3", "85-20=65", "65-3=62" ]
Current State: 62:[3, 1, 20, 85], Operations: [] Exploring Operation: 3*1=3, Resulting Numbers: [20, 85, 3] Generated Node #2: [20, 85, 3] from Operation: 3*1=3 Current State: 62:[20, 85, 3], Operations: ['3*1=3'] Exploring Operation: 85-20=65, Resulting Numbers: [3, 65] Generated Node #3: [3, 65] from Operation: 85-20=65 Current State: 62:[3, 65], Operations: ['3*1=3', '85-20=65'] Exploring Operation: 65-3=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 83, 44, 3, 59 ]
65
[ "83+44=127", "3+59=62", "127-62=65" ]
Current State: 65:[83, 44, 3, 59], Operations: [] Exploring Operation: 83+44=127, Resulting Numbers: [3, 59, 127] Generated Node #2: [3, 59, 127] from Operation: 83+44=127 Current State: 65:[3, 59, 127], Operations: ['83+44=127'] Exploring Operation: 3+59=62, Resulting Numbers: [127, 62] Generated Node #3: [127, 62] from Operation: 3+59=62 Current State: 65:[127, 62], Operations: ['83+44=127', '3+59=62'] Exploring Operation: 127-62=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 52, 38, 5, 23 ]
23
[ "52+23=75", "75/5=15", "38-15=23" ]
Current State: 23:[52, 38, 5, 23], Operations: [] Exploring Operation: 52+23=75, Resulting Numbers: [38, 5, 75] Generated Node #2: [38, 5, 75] from Operation: 52+23=75 Current State: 23:[38, 5, 75], Operations: ['52+23=75'] Exploring Operation: 75/5=15, Resulting Numbers: [38, 15] Generated Node #3: [38, 15] from Operation: 75/5=15 Current State: 23:[38, 15], Operations: ['52+23=75', '75/5=15'] Exploring Operation: 38-15=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 73, 6, 58, 13 ]
48
[ "73-13=60", "60/6=10", "58-10=48" ]
Current State: 48:[73, 6, 58, 13], Operations: [] Exploring Operation: 73-13=60, Resulting Numbers: [6, 58, 60] Generated Node #2: [6, 58, 60] from Operation: 73-13=60 Current State: 48:[6, 58, 60], Operations: ['73-13=60'] Exploring Operation: 60/6=10, Resulting Numbers: [58, 10] Generated Node #3: [58, 10] from Operation: 60/6=10 Current State: 48:[58, 10], Operations: ['73-13=60', '60/6=10'] Exploring Operation: 58-10=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 10, 56, 3, 50 ]
17
[ "50/10=5", "56-5=51", "51/3=17" ]
Current State: 17:[10, 56, 3, 50], Operations: [] Exploring Operation: 50/10=5, Resulting Numbers: [56, 3, 5] Generated Node #2: [56, 3, 5] from Operation: 50/10=5 Current State: 17:[56, 3, 5], Operations: ['50/10=5'] Exploring Operation: 56-5=51, Resulting Numbers: [3, 51] Generated Node #3: [3, 51] from Operation: 56-5=51 Current State: 17:[3, 51], Operations: ['50/10=5', '56-5=51'] Exploring Operation: 51/3=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 80, 30, 52, 69 ]
93
[ "80+30=110", "69-52=17", "110-17=93" ]
Current State: 93:[80, 30, 52, 69], Operations: [] Exploring Operation: 80+30=110, Resulting Numbers: [52, 69, 110] Generated Node #2: [52, 69, 110] from Operation: 80+30=110 Current State: 93:[52, 69, 110], Operations: ['80+30=110'] Exploring Operation: 69-52=17, Resulting Numbers: [110, 17] Generated Node #3: [110, 17] from Operation: 69-52=17 Current State: 93:[110, 17], Operations: ['80+30=110', '69-52=17'] Exploring Operation: 110-17=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 77, 31, 69, 81 ]
55
[ "81-77=4", "31*4=124", "124-69=55" ]
Current State: 55:[77, 31, 69, 81], Operations: [] Exploring Operation: 81-77=4, Resulting Numbers: [31, 69, 4] Generated Node #2: [31, 69, 4] from Operation: 81-77=4 Current State: 55:[31, 69, 4], Operations: ['81-77=4'] Exploring Operation: 31*4=124, Resulting Numbers: [69, 124] Generated Node #3: [69, 124] from Operation: 31*4=124 Current State: 55:[69, 124], Operations: ['81-77=4', '31*4=124'] Exploring Operation: 124-69=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 20, 94, 23, 20 ]
94
[ "20-20=0", "23*0=0", "94+0=94" ]
Current State: 94:[20, 94, 23, 20], Operations: [] Exploring Operation: 20-20=0, Resulting Numbers: [94, 23, 0] Generated Node #2: [94, 23, 0] from Operation: 20-20=0 Current State: 94:[94, 23, 0], Operations: ['20-20=0'] Exploring Operation: 23*0=0, Resulting Numbers: [94, 0] Generated Node #3: [94, 0] from Operation: 23*0=0 Current State: 94:[94, 0], Operations: ['20-20=0', '23*0=0'] Exploring Operation: 94+0=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 4, 88, 43, 41 ]
16
[ "88-43=45", "45-41=4", "4*4=16" ]
Current State: 16:[4, 88, 43, 41], Operations: [] Exploring Operation: 88-43=45, Resulting Numbers: [4, 41, 45] Generated Node #2: [4, 41, 45] from Operation: 88-43=45 Current State: 16:[4, 41, 45], Operations: ['88-43=45'] Exploring Operation: 45-41=4, Resulting Numbers: [4, 4] Generated Node #3: [4, 4] from Operation: 45-41=4 Current State: 16:[4, 4], Operations: ['88-43=45', '45-41=4'] Exploring Operation: 4*4=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 10, 40, 64, 39 ]
16
[ "10*40=400", "64-39=25", "400/25=16" ]
Current State: 16:[10, 40, 64, 39], Operations: [] Exploring Operation: 10*40=400, Resulting Numbers: [64, 39, 400] Generated Node #2: [64, 39, 400] from Operation: 10*40=400 Current State: 16:[64, 39, 400], Operations: ['10*40=400'] Exploring Operation: 64-39=25, Resulting Numbers: [400, 25] Generated Node #3: [400, 25] from Operation: 64-39=25 Current State: 16:[400, 25], Operations: ['10*40=400', '64-39=25'] Exploring Operation: 400/25=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 42, 42, 24, 26 ]
50
[ "42-42=0", "24+26=50", "0+50=50" ]
Current State: 50:[42, 42, 24, 26], Operations: [] Exploring Operation: 42-42=0, Resulting Numbers: [24, 26, 0] Generated Node #2: [24, 26, 0] from Operation: 42-42=0 Current State: 50:[24, 26, 0], Operations: ['42-42=0'] Exploring Operation: 24+26=50, Resulting Numbers: [0, 50] Generated Node #3: [0, 50] from Operation: 24+26=50 Current State: 50:[0, 50], Operations: ['42-42=0', '24+26=50'] Exploring Operation: 0+50=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 49, 12, 5, 17 ]
25
[ "49-12=37", "17-5=12", "37-12=25" ]
Current State: 25:[49, 12, 5, 17], Operations: [] Exploring Operation: 49-12=37, Resulting Numbers: [5, 17, 37] Generated Node #2: [5, 17, 37] from Operation: 49-12=37 Current State: 25:[5, 17, 37], Operations: ['49-12=37'] Exploring Operation: 17-5=12, Resulting Numbers: [37, 12] Generated Node #3: [37, 12] from Operation: 17-5=12 Current State: 25:[37, 12], Operations: ['49-12=37', '17-5=12'] Exploring Operation: 37-12=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 98, 76, 66, 28 ]
31
[ "98-76=22", "66/22=3", "28+3=31" ]
Current State: 31:[98, 76, 66, 28], Operations: [] Exploring Operation: 98-76=22, Resulting Numbers: [66, 28, 22] Generated Node #2: [66, 28, 22] from Operation: 98-76=22 Current State: 31:[66, 28, 22], Operations: ['98-76=22'] Exploring Operation: 66/22=3, Resulting Numbers: [28, 3] Generated Node #3: [28, 3] from Operation: 66/22=3 Current State: 31:[28, 3], Operations: ['98-76=22', '66/22=3'] Exploring Operation: 28+3=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 4, 23, 18, 23 ]
76
[ "23/23=1", "18+1=19", "4*19=76" ]
Current State: 76:[4, 23, 18, 23], Operations: [] Exploring Operation: 23/23=1, Resulting Numbers: [4, 18, 1] Generated Node #2: [4, 18, 1] from Operation: 23/23=1 Current State: 76:[4, 18, 1], Operations: ['23/23=1'] Exploring Operation: 18+1=19, Resulting Numbers: [4, 19] Generated Node #3: [4, 19] from Operation: 18+1=19 Current State: 76:[4, 19], Operations: ['23/23=1', '18+1=19'] Exploring Operation: 4*19=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 33, 94, 1, 3 ]
65
[ "94-33=61", "1+3=4", "61+4=65" ]
Current State: 65:[33, 94, 1, 3], Operations: [] Exploring Operation: 94-33=61, Resulting Numbers: [1, 3, 61] Generated Node #2: [1, 3, 61] from Operation: 94-33=61 Current State: 65:[1, 3, 61], Operations: ['94-33=61'] Exploring Operation: 1+3=4, Resulting Numbers: [61, 4] Generated Node #3: [61, 4] from Operation: 1+3=4 Current State: 65:[61, 4], Operations: ['94-33=61', '1+3=4'] Exploring Operation: 61+4=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 24, 77, 84, 54 ]
85
[ "77-24=53", "84+54=138", "138-53=85" ]
Current State: 85:[24, 77, 84, 54], Operations: [] Exploring Operation: 77-24=53, Resulting Numbers: [84, 54, 53] Generated Node #2: [84, 54, 53] from Operation: 77-24=53 Current State: 85:[84, 54, 53], Operations: ['77-24=53'] Exploring Operation: 84+54=138, Resulting Numbers: [53, 138] Generated Node #3: [53, 138] from Operation: 84+54=138 Current State: 85:[53, 138], Operations: ['77-24=53', '84+54=138'] Exploring Operation: 138-53=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 11, 63, 46, 41 ]
48
[ "63-41=22", "22/11=2", "46+2=48" ]
Current State: 48:[11, 63, 46, 41], Operations: [] Exploring Operation: 63-41=22, Resulting Numbers: [11, 46, 22] Generated Node #2: [11, 46, 22] from Operation: 63-41=22 Current State: 48:[11, 46, 22], Operations: ['63-41=22'] Exploring Operation: 22/11=2, Resulting Numbers: [46, 2] Generated Node #3: [46, 2] from Operation: 22/11=2 Current State: 48:[46, 2], Operations: ['63-41=22', '22/11=2'] Exploring Operation: 46+2=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 71, 71, 65, 68 ]
65
[ "71-71=0", "68*0=0", "65+0=65" ]
Current State: 65:[71, 71, 65, 68], Operations: [] Exploring Operation: 71-71=0, Resulting Numbers: [65, 68, 0] Generated Node #2: [65, 68, 0] from Operation: 71-71=0 Current State: 65:[65, 68, 0], Operations: ['71-71=0'] Exploring Operation: 68*0=0, Resulting Numbers: [65, 0] Generated Node #3: [65, 0] from Operation: 68*0=0 Current State: 65:[65, 0], Operations: ['71-71=0', '68*0=0'] Exploring Operation: 65+0=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 4, 78, 12, 56 ]
83
[ "4+56=60", "60/12=5", "78+5=83" ]
Current State: 83:[4, 78, 12, 56], Operations: [] Exploring Operation: 4+56=60, Resulting Numbers: [78, 12, 60] Generated Node #2: [78, 12, 60] from Operation: 4+56=60 Current State: 83:[78, 12, 60], Operations: ['4+56=60'] Exploring Operation: 60/12=5, Resulting Numbers: [78, 5] Generated Node #3: [78, 5] from Operation: 60/12=5 Current State: 83:[78, 5], Operations: ['4+56=60', '60/12=5'] Exploring Operation: 78+5=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 84, 60, 17, 14 ]
83
[ "84/14=6", "60+17=77", "6+77=83" ]
Current State: 83:[84, 60, 17, 14], Operations: [] Exploring Operation: 84/14=6, Resulting Numbers: [60, 17, 6] Generated Node #2: [60, 17, 6] from Operation: 84/14=6 Current State: 83:[60, 17, 6], Operations: ['84/14=6'] Exploring Operation: 60+17=77, Resulting Numbers: [6, 77] Generated Node #3: [6, 77] from Operation: 60+17=77 Current State: 83:[6, 77], Operations: ['84/14=6', '60+17=77'] Exploring Operation: 6+77=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 92, 88, 21, 39 ]
64
[ "92-88=4", "21+39=60", "4+60=64" ]
Current State: 64:[92, 88, 21, 39], Operations: [] Exploring Operation: 92-88=4, Resulting Numbers: [21, 39, 4] Generated Node #2: [21, 39, 4] from Operation: 92-88=4 Current State: 64:[21, 39, 4], Operations: ['92-88=4'] Exploring Operation: 21+39=60, Resulting Numbers: [4, 60] Generated Node #3: [4, 60] from Operation: 21+39=60 Current State: 64:[4, 60], Operations: ['92-88=4', '21+39=60'] Exploring Operation: 4+60=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 21, 1, 48, 5 ]
74
[ "21*1=21", "48+5=53", "21+53=74" ]
Current State: 74:[21, 1, 48, 5], Operations: [] Exploring Operation: 21*1=21, Resulting Numbers: [48, 5, 21] Generated Node #2: [48, 5, 21] from Operation: 21*1=21 Current State: 74:[48, 5, 21], Operations: ['21*1=21'] Exploring Operation: 48+5=53, Resulting Numbers: [21, 53] Generated Node #3: [21, 53] from Operation: 48+5=53 Current State: 74:[21, 53], Operations: ['21*1=21', '48+5=53'] Exploring Operation: 21+53=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 64, 30, 80, 31 ]
88
[ "64-31=33", "80*33=2640", "2640/30=88" ]
Current State: 88:[64, 30, 80, 31], Operations: [] Exploring Operation: 64-31=33, Resulting Numbers: [30, 80, 33] Generated Node #2: [30, 80, 33] from Operation: 64-31=33 Current State: 88:[30, 80, 33], Operations: ['64-31=33'] Exploring Operation: 80*33=2640, Resulting Numbers: [30, 2640] Generated Node #3: [30, 2640] from Operation: 80*33=2640 Current State: 88:[30, 2640], Operations: ['64-31=33', '80*33=2640'] Exploring Operation: 2640/30=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4