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
[ 45, 47, 46, 82 ]
37
[ "82-45=37", "47-46=1", "37*1=37" ]
Current State: 37:[45, 47, 46, 82], Operations: [] Exploring Operation: 82-45=37, Resulting Numbers: [47, 46, 37] Generated Node #2: [47, 46, 37] from Operation: 82-45=37 Current State: 37:[47, 46, 37], Operations: ['82-45=37'] Exploring Operation: 47-46=1, Resulting Numbers: [37, 1] Generated Node #3: [37, 1] from Operation: 47-46=1 Current State: 37:[37, 1], Operations: ['82-45=37', '47-46=1'] Exploring Operation: 37*1=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 85, 32, 5, 45 ]
77
[ "85+32=117", "45-5=40", "117-40=77" ]
Current State: 77:[85, 32, 5, 45], Operations: [] Exploring Operation: 85+32=117, Resulting Numbers: [5, 45, 117] Generated Node #2: [5, 45, 117] from Operation: 85+32=117 Current State: 77:[5, 45, 117], Operations: ['85+32=117'] Exploring Operation: 45-5=40, Resulting Numbers: [117, 40] Generated Node #3: [117, 40] from Operation: 45-5=40 Current State: 77:[117, 40], Operations: ['85+32=117', '45-5=40'] Exploring Operation: 117-40=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 68, 89, 95, 78 ]
60
[ "78-68=10", "95-89=6", "10*6=60" ]
Current State: 60:[68, 89, 95, 78], Operations: [] Exploring Operation: 78-68=10, Resulting Numbers: [89, 95, 10] Generated Node #2: [89, 95, 10] from Operation: 78-68=10 Current State: 60:[89, 95, 10], Operations: ['78-68=10'] Exploring Operation: 95-89=6, Resulting Numbers: [10, 6] Generated Node #3: [10, 6] from Operation: 95-89=6 Current State: 60:[10, 6], Operations: ['78-68=10', '95-89=6'] Exploring Operation: 10*6=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 29, 6, 26, 31 ]
40
[ "29+6=35", "31-26=5", "35+5=40" ]
Current State: 40:[29, 6, 26, 31], Operations: [] Exploring Operation: 29+6=35, Resulting Numbers: [26, 31, 35] Generated Node #2: [26, 31, 35] from Operation: 29+6=35 Current State: 40:[26, 31, 35], Operations: ['29+6=35'] Exploring Operation: 31-26=5, Resulting Numbers: [35, 5] Generated Node #3: [35, 5] from Operation: 31-26=5 Current State: 40:[35, 5], Operations: ['29+6=35', '31-26=5'] Exploring Operation: 35+5=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 43, 75, 82, 32 ]
77
[ "43-32=11", "82-75=7", "11*7=77" ]
Current State: 77:[43, 75, 82, 32], Operations: [] Exploring Operation: 43-32=11, Resulting Numbers: [75, 82, 11] Generated Node #2: [75, 82, 11] from Operation: 43-32=11 Current State: 77:[75, 82, 11], Operations: ['43-32=11'] Exploring Operation: 82-75=7, Resulting Numbers: [11, 7] Generated Node #3: [11, 7] from Operation: 82-75=7 Current State: 77:[11, 7], Operations: ['43-32=11', '82-75=7'] Exploring Operation: 11*7=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 18, 29, 30, 51 ]
70
[ "29-18=11", "30+51=81", "81-11=70" ]
Current State: 70:[18, 29, 30, 51], Operations: [] Exploring Operation: 29-18=11, Resulting Numbers: [30, 51, 11] Generated Node #2: [30, 51, 11] from Operation: 29-18=11 Current State: 70:[30, 51, 11], Operations: ['29-18=11'] Exploring Operation: 30+51=81, Resulting Numbers: [11, 81] Generated Node #3: [11, 81] from Operation: 30+51=81 Current State: 70:[11, 81], Operations: ['29-18=11', '30+51=81'] Exploring Operation: 81-11=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 82, 16, 76, 68 ]
28
[ "82-76=6", "16*6=96", "96-68=28" ]
Current State: 28:[82, 16, 76, 68], Operations: [] Exploring Operation: 82-76=6, Resulting Numbers: [16, 68, 6] Generated Node #2: [16, 68, 6] from Operation: 82-76=6 Current State: 28:[16, 68, 6], Operations: ['82-76=6'] Exploring Operation: 16*6=96, Resulting Numbers: [68, 96] Generated Node #3: [68, 96] from Operation: 16*6=96 Current State: 28:[68, 96], Operations: ['82-76=6', '16*6=96'] Exploring Operation: 96-68=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 44, 41, 69, 99 ]
56
[ "44-41=3", "69+99=168", "168/3=56" ]
Current State: 56:[44, 41, 69, 99], Operations: [] Exploring Operation: 44-41=3, Resulting Numbers: [69, 99, 3] Generated Node #2: [69, 99, 3] from Operation: 44-41=3 Current State: 56:[69, 99, 3], Operations: ['44-41=3'] Exploring Operation: 69+99=168, Resulting Numbers: [3, 168] Generated Node #3: [3, 168] from Operation: 69+99=168 Current State: 56:[3, 168], Operations: ['44-41=3', '69+99=168'] Exploring Operation: 168/3=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 95, 75, 22, 69 ]
67
[ "95-75=20", "69-22=47", "20+47=67" ]
Current State: 67:[95, 75, 22, 69], Operations: [] Exploring Operation: 95-75=20, Resulting Numbers: [22, 69, 20] Generated Node #2: [22, 69, 20] from Operation: 95-75=20 Current State: 67:[22, 69, 20], Operations: ['95-75=20'] Exploring Operation: 69-22=47, Resulting Numbers: [20, 47] Generated Node #3: [20, 47] from Operation: 69-22=47 Current State: 67:[20, 47], Operations: ['95-75=20', '69-22=47'] Exploring Operation: 20+47=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 32, 53, 31, 73 ]
21
[ "53-32=21", "73-31=42", "42-21=21" ]
Current State: 21:[32, 53, 31, 73], Operations: [] Exploring Operation: 53-32=21, Resulting Numbers: [31, 73, 21] Generated Node #2: [31, 73, 21] from Operation: 53-32=21 Current State: 21:[31, 73, 21], Operations: ['53-32=21'] Exploring Operation: 73-31=42, Resulting Numbers: [21, 42] Generated Node #3: [21, 42] from Operation: 73-31=42 Current State: 21:[21, 42], Operations: ['53-32=21', '73-31=42'] Exploring Operation: 42-21=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 31, 70, 58, 56 ]
75
[ "70-31=39", "58+56=114", "114-39=75" ]
Current State: 75:[31, 70, 58, 56], Operations: [] Exploring Operation: 70-31=39, Resulting Numbers: [58, 56, 39] Generated Node #2: [58, 56, 39] from Operation: 70-31=39 Current State: 75:[58, 56, 39], Operations: ['70-31=39'] Exploring Operation: 58+56=114, Resulting Numbers: [39, 114] Generated Node #3: [39, 114] from Operation: 58+56=114 Current State: 75:[39, 114], Operations: ['70-31=39', '58+56=114'] Exploring Operation: 114-39=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 77, 89, 70, 10 ]
48
[ "89-77=12", "70-10=60", "60-12=48" ]
Current State: 48:[77, 89, 70, 10], Operations: [] Exploring Operation: 89-77=12, Resulting Numbers: [70, 10, 12] Generated Node #2: [70, 10, 12] from Operation: 89-77=12 Current State: 48:[70, 10, 12], Operations: ['89-77=12'] Exploring Operation: 70-10=60, Resulting Numbers: [12, 60] Generated Node #3: [12, 60] from Operation: 70-10=60 Current State: 48:[12, 60], Operations: ['89-77=12', '70-10=60'] Exploring Operation: 60-12=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 22, 37, 26, 64 ]
23
[ "37-22=15", "64-26=38", "38-15=23" ]
Current State: 23:[22, 37, 26, 64], Operations: [] Exploring Operation: 37-22=15, Resulting Numbers: [26, 64, 15] Generated Node #2: [26, 64, 15] from Operation: 37-22=15 Current State: 23:[26, 64, 15], Operations: ['37-22=15'] Exploring Operation: 64-26=38, Resulting Numbers: [15, 38] Generated Node #3: [15, 38] from Operation: 64-26=38 Current State: 23:[15, 38], Operations: ['37-22=15', '64-26=38'] Exploring Operation: 38-15=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 33, 4, 32, 22 ]
38
[ "33*4=132", "132/22=6", "32+6=38" ]
Current State: 38:[33, 4, 32, 22], Operations: [] Exploring Operation: 33*4=132, Resulting Numbers: [32, 22, 132] Generated Node #2: [32, 22, 132] from Operation: 33*4=132 Current State: 38:[32, 22, 132], Operations: ['33*4=132'] Exploring Operation: 132/22=6, Resulting Numbers: [32, 6] Generated Node #3: [32, 6] from Operation: 132/22=6 Current State: 38:[32, 6], Operations: ['33*4=132', '132/22=6'] Exploring Operation: 32+6=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 45, 61, 56, 70 ]
31
[ "61-56=5", "70/5=14", "45-14=31" ]
Current State: 31:[45, 61, 56, 70], Operations: [] Exploring Operation: 61-56=5, Resulting Numbers: [45, 70, 5] Generated Node #2: [45, 70, 5] from Operation: 61-56=5 Current State: 31:[45, 70, 5], Operations: ['61-56=5'] Exploring Operation: 70/5=14, Resulting Numbers: [45, 14] Generated Node #3: [45, 14] from Operation: 70/5=14 Current State: 31:[45, 14], Operations: ['61-56=5', '70/5=14'] Exploring Operation: 45-14=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 62, 12, 21, 45 ]
50
[ "62+12=74", "45-21=24", "74-24=50" ]
Current State: 50:[62, 12, 21, 45], Operations: [] Exploring Operation: 62+12=74, Resulting Numbers: [21, 45, 74] Generated Node #2: [21, 45, 74] from Operation: 62+12=74 Current State: 50:[21, 45, 74], Operations: ['62+12=74'] Exploring Operation: 45-21=24, Resulting Numbers: [74, 24] Generated Node #3: [74, 24] from Operation: 45-21=24 Current State: 50:[74, 24], Operations: ['62+12=74', '45-21=24'] Exploring Operation: 74-24=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 83, 89, 96, 58 ]
44
[ "89-83=6", "96-58=38", "6+38=44" ]
Current State: 44:[83, 89, 96, 58], Operations: [] Exploring Operation: 89-83=6, Resulting Numbers: [96, 58, 6] Generated Node #2: [96, 58, 6] from Operation: 89-83=6 Current State: 44:[96, 58, 6], Operations: ['89-83=6'] Exploring Operation: 96-58=38, Resulting Numbers: [6, 38] Generated Node #3: [6, 38] from Operation: 96-58=38 Current State: 44:[6, 38], Operations: ['89-83=6', '96-58=38'] Exploring Operation: 6+38=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 33, 56, 2, 68 ]
19
[ "33+56=89", "2+68=70", "89-70=19" ]
Current State: 19:[33, 56, 2, 68], Operations: [] Exploring Operation: 33+56=89, Resulting Numbers: [2, 68, 89] Generated Node #2: [2, 68, 89] from Operation: 33+56=89 Current State: 19:[2, 68, 89], Operations: ['33+56=89'] Exploring Operation: 2+68=70, Resulting Numbers: [89, 70] Generated Node #3: [89, 70] from Operation: 2+68=70 Current State: 19:[89, 70], Operations: ['33+56=89', '2+68=70'] Exploring Operation: 89-70=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 75, 83, 2, 73 ]
79
[ "83-75=8", "73-2=71", "8+71=79" ]
Current State: 79:[75, 83, 2, 73], Operations: [] Exploring Operation: 83-75=8, Resulting Numbers: [2, 73, 8] Generated Node #2: [2, 73, 8] from Operation: 83-75=8 Current State: 79:[2, 73, 8], Operations: ['83-75=8'] Exploring Operation: 73-2=71, Resulting Numbers: [8, 71] Generated Node #3: [8, 71] from Operation: 73-2=71 Current State: 79:[8, 71], Operations: ['83-75=8', '73-2=71'] Exploring Operation: 8+71=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 30, 98, 76, 48 ]
40
[ "98-30=68", "76-48=28", "68-28=40" ]
Current State: 40:[30, 98, 76, 48], Operations: [] Exploring Operation: 98-30=68, Resulting Numbers: [76, 48, 68] Generated Node #2: [76, 48, 68] from Operation: 98-30=68 Current State: 40:[76, 48, 68], Operations: ['98-30=68'] Exploring Operation: 76-48=28, Resulting Numbers: [68, 28] Generated Node #3: [68, 28] from Operation: 76-48=28 Current State: 40:[68, 28], Operations: ['98-30=68', '76-48=28'] Exploring Operation: 68-28=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 89, 4, 2, 82 ]
20
[ "89-2=87", "87-82=5", "4*5=20" ]
Current State: 20:[89, 4, 2, 82], Operations: [] Exploring Operation: 89-2=87, Resulting Numbers: [4, 82, 87] Generated Node #2: [4, 82, 87] from Operation: 89-2=87 Current State: 20:[4, 82, 87], Operations: ['89-2=87'] Exploring Operation: 87-82=5, Resulting Numbers: [4, 5] Generated Node #3: [4, 5] from Operation: 87-82=5 Current State: 20:[4, 5], Operations: ['89-2=87', '87-82=5'] Exploring Operation: 4*5=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 86, 50, 54, 70 ]
48
[ "86+54=140", "140/70=2", "50-2=48" ]
Current State: 48:[86, 50, 54, 70], Operations: [] Exploring Operation: 86+54=140, Resulting Numbers: [50, 70, 140] Generated Node #2: [50, 70, 140] from Operation: 86+54=140 Current State: 48:[50, 70, 140], Operations: ['86+54=140'] Exploring Operation: 140/70=2, Resulting Numbers: [50, 2] Generated Node #3: [50, 2] from Operation: 140/70=2 Current State: 48:[50, 2], Operations: ['86+54=140', '140/70=2'] Exploring Operation: 50-2=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 69, 24, 18, 29 ]
46
[ "69+24=93", "18+29=47", "93-47=46" ]
Current State: 46:[69, 24, 18, 29], Operations: [] Exploring Operation: 69+24=93, Resulting Numbers: [18, 29, 93] Generated Node #2: [18, 29, 93] from Operation: 69+24=93 Current State: 46:[18, 29, 93], Operations: ['69+24=93'] Exploring Operation: 18+29=47, Resulting Numbers: [93, 47] Generated Node #3: [93, 47] from Operation: 18+29=47 Current State: 46:[93, 47], Operations: ['69+24=93', '18+29=47'] Exploring Operation: 93-47=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 45, 44, 25, 67 ]
91
[ "45-44=1", "25+67=92", "92-1=91" ]
Current State: 91:[45, 44, 25, 67], Operations: [] Exploring Operation: 45-44=1, Resulting Numbers: [25, 67, 1] Generated Node #2: [25, 67, 1] from Operation: 45-44=1 Current State: 91:[25, 67, 1], Operations: ['45-44=1'] Exploring Operation: 25+67=92, Resulting Numbers: [1, 92] Generated Node #3: [1, 92] from Operation: 25+67=92 Current State: 91:[1, 92], Operations: ['45-44=1', '25+67=92'] Exploring Operation: 92-1=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 12, 22, 21, 75 ]
66
[ "75-12=63", "22*63=1386", "1386/21=66" ]
Current State: 66:[12, 22, 21, 75], Operations: [] Exploring Operation: 75-12=63, Resulting Numbers: [22, 21, 63] Generated Node #2: [22, 21, 63] from Operation: 75-12=63 Current State: 66:[22, 21, 63], Operations: ['75-12=63'] Exploring Operation: 22*63=1386, Resulting Numbers: [21, 1386] Generated Node #3: [21, 1386] from Operation: 22*63=1386 Current State: 66:[21, 1386], Operations: ['75-12=63', '22*63=1386'] Exploring Operation: 1386/21=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 6, 4, 38, 54 ]
82
[ "6+4=10", "38+54=92", "92-10=82" ]
Current State: 82:[6, 4, 38, 54], Operations: [] Exploring Operation: 6+4=10, Resulting Numbers: [38, 54, 10] Generated Node #2: [38, 54, 10] from Operation: 6+4=10 Current State: 82:[38, 54, 10], Operations: ['6+4=10'] Exploring Operation: 38+54=92, Resulting Numbers: [10, 92] Generated Node #3: [10, 92] from Operation: 38+54=92 Current State: 82:[10, 92], Operations: ['6+4=10', '38+54=92'] Exploring Operation: 92-10=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 64, 86, 58, 6 ]
98
[ "64+86=150", "58-6=52", "150-52=98" ]
Current State: 98:[64, 86, 58, 6], Operations: [] Exploring Operation: 64+86=150, Resulting Numbers: [58, 6, 150] Generated Node #2: [58, 6, 150] from Operation: 64+86=150 Current State: 98:[58, 6, 150], Operations: ['64+86=150'] Exploring Operation: 58-6=52, Resulting Numbers: [150, 52] Generated Node #3: [150, 52] from Operation: 58-6=52 Current State: 98:[150, 52], Operations: ['64+86=150', '58-6=52'] Exploring Operation: 150-52=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 6, 68, 6, 87 ]
78
[ "6+68=74", "87-74=13", "6*13=78" ]
Current State: 78:[6, 68, 6, 87], Operations: [] Exploring Operation: 6+68=74, Resulting Numbers: [87, 74] Generated Node #2: [87, 74] from Operation: 6+68=74 Current State: 78:[87, 74], Operations: ['6+68=74'] Exploring Operation: 87-74=13, Resulting Numbers: [13] 13,78 equal: Goal Reached Exploring Operation: 6*13=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 76, 45, 19, 78 ]
71
[ "78-76=2", "45*2=90", "90-19=71" ]
Current State: 71:[76, 45, 19, 78], Operations: [] Exploring Operation: 78-76=2, Resulting Numbers: [45, 19, 2] Generated Node #2: [45, 19, 2] from Operation: 78-76=2 Current State: 71:[45, 19, 2], Operations: ['78-76=2'] Exploring Operation: 45*2=90, Resulting Numbers: [19, 90] Generated Node #3: [19, 90] from Operation: 45*2=90 Current State: 71:[19, 90], Operations: ['78-76=2', '45*2=90'] Exploring Operation: 90-19=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 38, 88, 77, 3 ]
52
[ "38+88=126", "77-3=74", "126-74=52" ]
Current State: 52:[38, 88, 77, 3], Operations: [] Exploring Operation: 38+88=126, Resulting Numbers: [77, 3, 126] Generated Node #2: [77, 3, 126] from Operation: 38+88=126 Current State: 52:[77, 3, 126], Operations: ['38+88=126'] Exploring Operation: 77-3=74, Resulting Numbers: [126, 74] Generated Node #3: [126, 74] from Operation: 77-3=74 Current State: 52:[126, 74], Operations: ['38+88=126', '77-3=74'] Exploring Operation: 126-74=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 2, 64, 7, 8 ]
75
[ "8/2=4", "64+7=71", "4+71=75" ]
Current State: 75:[2, 64, 7, 8], Operations: [] Exploring Operation: 8/2=4, Resulting Numbers: [64, 7, 4] Generated Node #2: [64, 7, 4] from Operation: 8/2=4 Current State: 75:[64, 7, 4], Operations: ['8/2=4'] Exploring Operation: 64+7=71, Resulting Numbers: [4, 71] Generated Node #3: [4, 71] from Operation: 64+7=71 Current State: 75:[4, 71], Operations: ['8/2=4', '64+7=71'] Exploring Operation: 4+71=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 40, 28, 7, 15 ]
29
[ "40-15=25", "28/7=4", "25+4=29" ]
Current State: 29:[40, 28, 7, 15], Operations: [] Exploring Operation: 40-15=25, Resulting Numbers: [28, 7, 25] Generated Node #2: [28, 7, 25] from Operation: 40-15=25 Current State: 29:[28, 7, 25], Operations: ['40-15=25'] Exploring Operation: 28/7=4, Resulting Numbers: [25, 4] Generated Node #3: [25, 4] from Operation: 28/7=4 Current State: 29:[25, 4], Operations: ['40-15=25', '28/7=4'] Exploring Operation: 25+4=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 83, 33, 7, 73 ]
16
[ "83-33=50", "73-7=66", "66-50=16" ]
Current State: 16:[83, 33, 7, 73], Operations: [] Exploring Operation: 83-33=50, Resulting Numbers: [7, 73, 50] Generated Node #2: [7, 73, 50] from Operation: 83-33=50 Current State: 16:[7, 73, 50], Operations: ['83-33=50'] Exploring Operation: 73-7=66, Resulting Numbers: [50, 66] Generated Node #3: [50, 66] from Operation: 73-7=66 Current State: 16:[50, 66], Operations: ['83-33=50', '73-7=66'] Exploring Operation: 66-50=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 75, 7, 57, 16 ]
71
[ "7+57=64", "64/16=4", "75-4=71" ]
Current State: 71:[75, 7, 57, 16], Operations: [] Exploring Operation: 7+57=64, Resulting Numbers: [75, 16, 64] Generated Node #2: [75, 16, 64] from Operation: 7+57=64 Current State: 71:[75, 16, 64], Operations: ['7+57=64'] Exploring Operation: 64/16=4, Resulting Numbers: [75, 4] Generated Node #3: [75, 4] from Operation: 64/16=4 Current State: 71:[75, 4], Operations: ['7+57=64', '64/16=4'] Exploring Operation: 75-4=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 46, 6, 15, 91 ]
10
[ "46-15=31", "91-31=60", "60/6=10" ]
Current State: 10:[46, 6, 15, 91], Operations: [] Exploring Operation: 46-15=31, Resulting Numbers: [6, 91, 31] Generated Node #2: [6, 91, 31] from Operation: 46-15=31 Current State: 10:[6, 91, 31], Operations: ['46-15=31'] Exploring Operation: 91-31=60, Resulting Numbers: [6, 60] Generated Node #3: [6, 60] from Operation: 91-31=60 Current State: 10:[6, 60], Operations: ['46-15=31', '91-31=60'] Exploring Operation: 60/6=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 42, 15, 48, 2 ]
21
[ "42*2=84", "15+48=63", "84-63=21" ]
Current State: 21:[42, 15, 48, 2], Operations: [] Exploring Operation: 42*2=84, Resulting Numbers: [15, 48, 84] Generated Node #2: [15, 48, 84] from Operation: 42*2=84 Current State: 21:[15, 48, 84], Operations: ['42*2=84'] Exploring Operation: 15+48=63, Resulting Numbers: [84, 63] Generated Node #3: [84, 63] from Operation: 15+48=63 Current State: 21:[84, 63], Operations: ['42*2=84', '15+48=63'] Exploring Operation: 84-63=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 72, 10, 1, 73 ]
20
[ "72-1=71", "73-71=2", "10*2=20" ]
Current State: 20:[72, 10, 1, 73], Operations: [] Exploring Operation: 72-1=71, Resulting Numbers: [10, 73, 71] Generated Node #2: [10, 73, 71] from Operation: 72-1=71 Current State: 20:[10, 73, 71], Operations: ['72-1=71'] Exploring Operation: 73-71=2, Resulting Numbers: [10, 2] Generated Node #3: [10, 2] from Operation: 73-71=2 Current State: 20:[10, 2], Operations: ['72-1=71', '73-71=2'] Exploring Operation: 10*2=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 57, 37, 32, 35 ]
82
[ "37-35=2", "57*2=114", "114-32=82" ]
Current State: 82:[57, 37, 32, 35], Operations: [] Exploring Operation: 37-35=2, Resulting Numbers: [57, 32, 2] Generated Node #2: [57, 32, 2] from Operation: 37-35=2 Current State: 82:[57, 32, 2], Operations: ['37-35=2'] Exploring Operation: 57*2=114, Resulting Numbers: [32, 114] Generated Node #3: [32, 114] from Operation: 57*2=114 Current State: 82:[32, 114], Operations: ['37-35=2', '57*2=114'] Exploring Operation: 114-32=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 3, 72, 73, 92 ]
79
[ "72+73=145", "92+145=237", "237/3=79" ]
Current State: 79:[3, 72, 73, 92], Operations: [] Exploring Operation: 72+73=145, Resulting Numbers: [3, 92, 145] Generated Node #2: [3, 92, 145] from Operation: 72+73=145 Current State: 79:[3, 92, 145], Operations: ['72+73=145'] Exploring Operation: 92+145=237, Resulting Numbers: [3, 237] Generated Node #3: [3, 237] from Operation: 92+145=237 Current State: 79:[3, 237], Operations: ['72+73=145', '92+145=237'] Exploring Operation: 237/3=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 11, 4, 95, 15 ]
40
[ "95+15=110", "110/11=10", "4*10=40" ]
Current State: 40:[11, 4, 95, 15], Operations: [] Exploring Operation: 95+15=110, Resulting Numbers: [11, 4, 110] Generated Node #2: [11, 4, 110] from Operation: 95+15=110 Current State: 40:[11, 4, 110], Operations: ['95+15=110'] Exploring Operation: 110/11=10, Resulting Numbers: [4, 10] Generated Node #3: [4, 10] from Operation: 110/11=10 Current State: 40:[4, 10], Operations: ['95+15=110', '110/11=10'] Exploring Operation: 4*10=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 11, 79, 19, 91 ]
18
[ "11+79=90", "91-19=72", "90-72=18" ]
Current State: 18:[11, 79, 19, 91], Operations: [] Exploring Operation: 11+79=90, Resulting Numbers: [19, 91, 90] Generated Node #2: [19, 91, 90] from Operation: 11+79=90 Current State: 18:[19, 91, 90], Operations: ['11+79=90'] Exploring Operation: 91-19=72, Resulting Numbers: [90, 72] Generated Node #3: [90, 72] from Operation: 91-19=72 Current State: 18:[90, 72], Operations: ['11+79=90', '91-19=72'] Exploring Operation: 90-72=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 35, 30, 65, 63 ]
63
[ "35+30=65", "65+63=128", "128-65=63" ]
Current State: 63:[35, 30, 65, 63], Operations: [] Exploring Operation: 35+30=65, Resulting Numbers: [65, 63, 65] Generated Node #2: [65, 63, 65] from Operation: 35+30=65 Current State: 63:[65, 63, 65], Operations: ['35+30=65'] Exploring Operation: 65+63=128, Resulting Numbers: [128] 128,63 equal: Goal Reached Exploring Operation: 128-65=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 63, 93, 84, 3 ]
52
[ "84-63=21", "93/3=31", "21+31=52" ]
Current State: 52:[63, 93, 84, 3], Operations: [] Exploring Operation: 84-63=21, Resulting Numbers: [93, 3, 21] Generated Node #2: [93, 3, 21] from Operation: 84-63=21 Current State: 52:[93, 3, 21], Operations: ['84-63=21'] Exploring Operation: 93/3=31, Resulting Numbers: [21, 31] Generated Node #3: [21, 31] from Operation: 93/3=31 Current State: 52:[21, 31], Operations: ['84-63=21', '93/3=31'] Exploring Operation: 21+31=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 22, 56, 42, 84 ]
17
[ "56-22=34", "84/42=2", "34/2=17" ]
Current State: 17:[22, 56, 42, 84], Operations: [] Exploring Operation: 56-22=34, Resulting Numbers: [42, 84, 34] Generated Node #2: [42, 84, 34] from Operation: 56-22=34 Current State: 17:[42, 84, 34], Operations: ['56-22=34'] Exploring Operation: 84/42=2, Resulting Numbers: [34, 2] Generated Node #3: [34, 2] from Operation: 84/42=2 Current State: 17:[34, 2], Operations: ['56-22=34', '84/42=2'] Exploring Operation: 34/2=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 58, 42, 28, 59 ]
70
[ "59-58=1", "42+28=70", "1*70=70" ]
Current State: 70:[58, 42, 28, 59], Operations: [] Exploring Operation: 59-58=1, Resulting Numbers: [42, 28, 1] Generated Node #2: [42, 28, 1] from Operation: 59-58=1 Current State: 70:[42, 28, 1], Operations: ['59-58=1'] Exploring Operation: 42+28=70, Resulting Numbers: [1, 70] Generated Node #3: [1, 70] from Operation: 42+28=70 Current State: 70:[1, 70], Operations: ['59-58=1', '42+28=70'] Exploring Operation: 1*70=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 32, 4, 3, 28 ]
80
[ "32+4=36", "3*36=108", "108-28=80" ]
Current State: 80:[32, 4, 3, 28], Operations: [] Exploring Operation: 32+4=36, Resulting Numbers: [3, 28, 36] Generated Node #2: [3, 28, 36] from Operation: 32+4=36 Current State: 80:[3, 28, 36], Operations: ['32+4=36'] Exploring Operation: 3*36=108, Resulting Numbers: [28, 108] Generated Node #3: [28, 108] from Operation: 3*36=108 Current State: 80:[28, 108], Operations: ['32+4=36', '3*36=108'] Exploring Operation: 108-28=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 24, 87, 32, 78 ]
17
[ "87-24=63", "78-32=46", "63-46=17" ]
Current State: 17:[24, 87, 32, 78], Operations: [] Exploring Operation: 87-24=63, Resulting Numbers: [32, 78, 63] Generated Node #2: [32, 78, 63] from Operation: 87-24=63 Current State: 17:[32, 78, 63], Operations: ['87-24=63'] Exploring Operation: 78-32=46, Resulting Numbers: [63, 46] Generated Node #3: [63, 46] from Operation: 78-32=46 Current State: 17:[63, 46], Operations: ['87-24=63', '78-32=46'] Exploring Operation: 63-46=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 56, 13, 41, 30 ]
28
[ "56-13=43", "41+30=71", "71-43=28" ]
Current State: 28:[56, 13, 41, 30], Operations: [] Exploring Operation: 56-13=43, Resulting Numbers: [41, 30, 43] Generated Node #2: [41, 30, 43] from Operation: 56-13=43 Current State: 28:[41, 30, 43], Operations: ['56-13=43'] Exploring Operation: 41+30=71, Resulting Numbers: [43, 71] Generated Node #3: [43, 71] from Operation: 41+30=71 Current State: 28:[43, 71], Operations: ['56-13=43', '41+30=71'] Exploring Operation: 71-43=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 84, 91, 58, 28 ]
54
[ "91-84=7", "28/7=4", "58-4=54" ]
Current State: 54:[84, 91, 58, 28], Operations: [] Exploring Operation: 91-84=7, Resulting Numbers: [58, 28, 7] Generated Node #2: [58, 28, 7] from Operation: 91-84=7 Current State: 54:[58, 28, 7], Operations: ['91-84=7'] Exploring Operation: 28/7=4, Resulting Numbers: [58, 4] Generated Node #3: [58, 4] from Operation: 28/7=4 Current State: 54:[58, 4], Operations: ['91-84=7', '28/7=4'] Exploring Operation: 58-4=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 61, 62, 56, 32 ]
35
[ "61+62=123", "56+32=88", "123-88=35" ]
Current State: 35:[61, 62, 56, 32], Operations: [] Exploring Operation: 61+62=123, Resulting Numbers: [56, 32, 123] Generated Node #2: [56, 32, 123] from Operation: 61+62=123 Current State: 35:[56, 32, 123], Operations: ['61+62=123'] Exploring Operation: 56+32=88, Resulting Numbers: [123, 88] Generated Node #3: [123, 88] from Operation: 56+32=88 Current State: 35:[123, 88], Operations: ['61+62=123', '56+32=88'] Exploring Operation: 123-88=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 33, 24, 8, 32 ]
61
[ "33+24=57", "32/8=4", "57+4=61" ]
Current State: 61:[33, 24, 8, 32], Operations: [] Exploring Operation: 33+24=57, Resulting Numbers: [8, 32, 57] Generated Node #2: [8, 32, 57] from Operation: 33+24=57 Current State: 61:[8, 32, 57], Operations: ['33+24=57'] Exploring Operation: 32/8=4, Resulting Numbers: [57, 4] Generated Node #3: [57, 4] from Operation: 32/8=4 Current State: 61:[57, 4], Operations: ['33+24=57', '32/8=4'] Exploring Operation: 57+4=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 64, 97, 76, 83 ]
26
[ "97-64=33", "83-76=7", "33-7=26" ]
Current State: 26:[64, 97, 76, 83], Operations: [] Exploring Operation: 97-64=33, Resulting Numbers: [76, 83, 33] Generated Node #2: [76, 83, 33] from Operation: 97-64=33 Current State: 26:[76, 83, 33], Operations: ['97-64=33'] Exploring Operation: 83-76=7, Resulting Numbers: [33, 7] Generated Node #3: [33, 7] from Operation: 83-76=7 Current State: 26:[33, 7], Operations: ['97-64=33', '83-76=7'] Exploring Operation: 33-7=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 23, 15, 25, 5 ]
44
[ "23*15=345", "345/5=69", "69-25=44" ]
Current State: 44:[23, 15, 25, 5], Operations: [] Exploring Operation: 23*15=345, Resulting Numbers: [25, 5, 345] Generated Node #2: [25, 5, 345] from Operation: 23*15=345 Current State: 44:[25, 5, 345], Operations: ['23*15=345'] Exploring Operation: 345/5=69, Resulting Numbers: [25, 69] Generated Node #3: [25, 69] from Operation: 345/5=69 Current State: 44:[25, 69], Operations: ['23*15=345', '345/5=69'] Exploring Operation: 69-25=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 8, 68, 14, 36 ]
82
[ "68-8=60", "36-14=22", "60+22=82" ]
Current State: 82:[8, 68, 14, 36], Operations: [] Exploring Operation: 68-8=60, Resulting Numbers: [14, 36, 60] Generated Node #2: [14, 36, 60] from Operation: 68-8=60 Current State: 82:[14, 36, 60], Operations: ['68-8=60'] Exploring Operation: 36-14=22, Resulting Numbers: [60, 22] Generated Node #3: [60, 22] from Operation: 36-14=22 Current State: 82:[60, 22], Operations: ['68-8=60', '36-14=22'] Exploring Operation: 60+22=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 14, 51, 26, 32 ]
80
[ "14+51=65", "32*65=2080", "2080/26=80" ]
Current State: 80:[14, 51, 26, 32], Operations: [] Exploring Operation: 14+51=65, Resulting Numbers: [26, 32, 65] Generated Node #2: [26, 32, 65] from Operation: 14+51=65 Current State: 80:[26, 32, 65], Operations: ['14+51=65'] Exploring Operation: 32*65=2080, Resulting Numbers: [26, 2080] Generated Node #3: [26, 2080] from Operation: 32*65=2080 Current State: 80:[26, 2080], Operations: ['14+51=65', '32*65=2080'] Exploring Operation: 2080/26=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 36, 13, 32, 28 ]
11
[ "36+13=49", "32+28=60", "60-49=11" ]
Current State: 11:[36, 13, 32, 28], Operations: [] Exploring Operation: 36+13=49, Resulting Numbers: [32, 28, 49] Generated Node #2: [32, 28, 49] from Operation: 36+13=49 Current State: 11:[32, 28, 49], Operations: ['36+13=49'] Exploring Operation: 32+28=60, Resulting Numbers: [49, 60] Generated Node #3: [49, 60] from Operation: 32+28=60 Current State: 11:[49, 60], Operations: ['36+13=49', '32+28=60'] Exploring Operation: 60-49=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 51, 27, 98, 41 ]
44
[ "41-27=14", "98/14=7", "51-7=44" ]
Current State: 44:[51, 27, 98, 41], Operations: [] Exploring Operation: 41-27=14, Resulting Numbers: [51, 98, 14] Generated Node #2: [51, 98, 14] from Operation: 41-27=14 Current State: 44:[51, 98, 14], Operations: ['41-27=14'] Exploring Operation: 98/14=7, Resulting Numbers: [51, 7] Generated Node #3: [51, 7] from Operation: 98/14=7 Current State: 44:[51, 7], Operations: ['41-27=14', '98/14=7'] Exploring Operation: 51-7=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 15, 14, 16, 76 ]
10
[ "14+76=90", "90/15=6", "16-6=10" ]
Current State: 10:[15, 14, 16, 76], Operations: [] Exploring Operation: 14+76=90, Resulting Numbers: [15, 16, 90] Generated Node #2: [15, 16, 90] from Operation: 14+76=90 Current State: 10:[15, 16, 90], Operations: ['14+76=90'] Exploring Operation: 90/15=6, Resulting Numbers: [16, 6] Generated Node #3: [16, 6] from Operation: 90/15=6 Current State: 10:[16, 6], Operations: ['14+76=90', '90/15=6'] Exploring Operation: 16-6=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 54, 24, 48, 3 ]
60
[ "48/24=2", "3*2=6", "54+6=60" ]
Current State: 60:[54, 24, 48, 3], Operations: [] Exploring Operation: 48/24=2, Resulting Numbers: [54, 3, 2] Generated Node #2: [54, 3, 2] from Operation: 48/24=2 Current State: 60:[54, 3, 2], Operations: ['48/24=2'] Exploring Operation: 3*2=6, Resulting Numbers: [54, 6] Generated Node #3: [54, 6] from Operation: 3*2=6 Current State: 60:[54, 6], Operations: ['48/24=2', '3*2=6'] Exploring Operation: 54+6=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 61, 86, 88, 83 ]
82
[ "83-61=22", "88/22=4", "86-4=82" ]
Current State: 82:[61, 86, 88, 83], Operations: [] Exploring Operation: 83-61=22, Resulting Numbers: [86, 88, 22] Generated Node #2: [86, 88, 22] from Operation: 83-61=22 Current State: 82:[86, 88, 22], Operations: ['83-61=22'] Exploring Operation: 88/22=4, Resulting Numbers: [86, 4] Generated Node #3: [86, 4] from Operation: 88/22=4 Current State: 82:[86, 4], Operations: ['83-61=22', '88/22=4'] Exploring Operation: 86-4=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 90, 5, 3, 18 ]
89
[ "90+5=95", "18/3=6", "95-6=89" ]
Current State: 89:[90, 5, 3, 18], Operations: [] Exploring Operation: 90+5=95, Resulting Numbers: [3, 18, 95] Generated Node #2: [3, 18, 95] from Operation: 90+5=95 Current State: 89:[3, 18, 95], Operations: ['90+5=95'] Exploring Operation: 18/3=6, Resulting Numbers: [95, 6] Generated Node #3: [95, 6] from Operation: 18/3=6 Current State: 89:[95, 6], Operations: ['90+5=95', '18/3=6'] Exploring Operation: 95-6=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 46, 97, 85, 18 ]
52
[ "97-46=51", "85+18=103", "103-51=52" ]
Current State: 52:[46, 97, 85, 18], Operations: [] Exploring Operation: 97-46=51, Resulting Numbers: [85, 18, 51] Generated Node #2: [85, 18, 51] from Operation: 97-46=51 Current State: 52:[85, 18, 51], Operations: ['97-46=51'] Exploring Operation: 85+18=103, Resulting Numbers: [51, 103] Generated Node #3: [51, 103] from Operation: 85+18=103 Current State: 52:[51, 103], Operations: ['97-46=51', '85+18=103'] Exploring Operation: 103-51=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 85, 22, 97, 47 ]
57
[ "85+22=107", "97-47=50", "107-50=57" ]
Current State: 57:[85, 22, 97, 47], Operations: [] Exploring Operation: 85+22=107, Resulting Numbers: [97, 47, 107] Generated Node #2: [97, 47, 107] from Operation: 85+22=107 Current State: 57:[97, 47, 107], Operations: ['85+22=107'] Exploring Operation: 97-47=50, Resulting Numbers: [107, 50] Generated Node #3: [107, 50] from Operation: 97-47=50 Current State: 57:[107, 50], Operations: ['85+22=107', '97-47=50'] Exploring Operation: 107-50=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 7, 64, 2, 85 ]
16
[ "7+64=71", "2+85=87", "87-71=16" ]
Current State: 16:[7, 64, 2, 85], Operations: [] Exploring Operation: 7+64=71, Resulting Numbers: [2, 85, 71] Generated Node #2: [2, 85, 71] from Operation: 7+64=71 Current State: 16:[2, 85, 71], Operations: ['7+64=71'] Exploring Operation: 2+85=87, Resulting Numbers: [71, 87] Generated Node #3: [71, 87] from Operation: 2+85=87 Current State: 16:[71, 87], Operations: ['7+64=71', '2+85=87'] Exploring Operation: 87-71=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 30, 43, 72, 38 ]
12
[ "43-38=5", "30/5=6", "72/6=12" ]
Current State: 12:[30, 43, 72, 38], Operations: [] Exploring Operation: 43-38=5, Resulting Numbers: [30, 72, 5] Generated Node #2: [30, 72, 5] from Operation: 43-38=5 Current State: 12:[30, 72, 5], Operations: ['43-38=5'] Exploring Operation: 30/5=6, Resulting Numbers: [72, 6] Generated Node #3: [72, 6] from Operation: 30/5=6 Current State: 12:[72, 6], Operations: ['43-38=5', '30/5=6'] Exploring Operation: 72/6=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 22, 81, 84, 18 ]
28
[ "84-81=3", "18/3=6", "22+6=28" ]
Current State: 28:[22, 81, 84, 18], Operations: [] Exploring Operation: 84-81=3, Resulting Numbers: [22, 18, 3] Generated Node #2: [22, 18, 3] from Operation: 84-81=3 Current State: 28:[22, 18, 3], Operations: ['84-81=3'] Exploring Operation: 18/3=6, Resulting Numbers: [22, 6] Generated Node #3: [22, 6] from Operation: 18/3=6 Current State: 28:[22, 6], Operations: ['84-81=3', '18/3=6'] Exploring Operation: 22+6=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 34, 63, 5, 28 ]
63
[ "34-5=29", "29-28=1", "63*1=63" ]
Current State: 63:[34, 63, 5, 28], Operations: [] Exploring Operation: 34-5=29, Resulting Numbers: [63, 28, 29] Generated Node #2: [63, 28, 29] from Operation: 34-5=29 Current State: 63:[63, 28, 29], Operations: ['34-5=29'] Exploring Operation: 29-28=1, Resulting Numbers: [63, 1] Generated Node #3: [63, 1] from Operation: 29-28=1 Current State: 63:[63, 1], Operations: ['34-5=29', '29-28=1'] Exploring Operation: 63*1=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 4, 14, 23, 91 ]
58
[ "4*14=56", "23+91=114", "114-56=58" ]
Current State: 58:[4, 14, 23, 91], Operations: [] Exploring Operation: 4*14=56, Resulting Numbers: [23, 91, 56] Generated Node #2: [23, 91, 56] from Operation: 4*14=56 Current State: 58:[23, 91, 56], Operations: ['4*14=56'] Exploring Operation: 23+91=114, Resulting Numbers: [56, 114] Generated Node #3: [56, 114] from Operation: 23+91=114 Current State: 58:[56, 114], Operations: ['4*14=56', '23+91=114'] Exploring Operation: 114-56=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 45, 89, 53, 16 ]
39
[ "53-45=8", "16*8=128", "128-89=39" ]
Current State: 39:[45, 89, 53, 16], Operations: [] Exploring Operation: 53-45=8, Resulting Numbers: [89, 16, 8] Generated Node #2: [89, 16, 8] from Operation: 53-45=8 Current State: 39:[89, 16, 8], Operations: ['53-45=8'] Exploring Operation: 16*8=128, Resulting Numbers: [89, 128] Generated Node #3: [89, 128] from Operation: 16*8=128 Current State: 39:[89, 128], Operations: ['53-45=8', '16*8=128'] Exploring Operation: 128-89=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 45, 94, 98, 8 ]
69
[ "94+98=192", "192/8=24", "45+24=69" ]
Current State: 69:[45, 94, 98, 8], Operations: [] Exploring Operation: 94+98=192, Resulting Numbers: [45, 8, 192] Generated Node #2: [45, 8, 192] from Operation: 94+98=192 Current State: 69:[45, 8, 192], Operations: ['94+98=192'] Exploring Operation: 192/8=24, Resulting Numbers: [45, 24] Generated Node #3: [45, 24] from Operation: 192/8=24 Current State: 69:[45, 24], Operations: ['94+98=192', '192/8=24'] Exploring Operation: 45+24=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 18, 18, 21, 4 ]
69
[ "21-18=3", "18*4=72", "72-3=69" ]
Current State: 69:[18, 18, 21, 4], Operations: [] Exploring Operation: 21-18=3, Resulting Numbers: [4, 3] Generated Node #2: [4, 3] from Operation: 21-18=3 Current State: 69:[4, 3], Operations: ['21-18=3'] Exploring Operation: 18*4=72, Resulting Numbers: [3, 72] Generated Node #3: [3, 72] from Operation: 18*4=72 Current State: 69:[3, 72], Operations: ['21-18=3', '18*4=72'] Exploring Operation: 72-3=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 68, 74, 23, 44 ]
15
[ "74-68=6", "44-23=21", "21-6=15" ]
Current State: 15:[68, 74, 23, 44], Operations: [] Exploring Operation: 74-68=6, Resulting Numbers: [23, 44, 6] Generated Node #2: [23, 44, 6] from Operation: 74-68=6 Current State: 15:[23, 44, 6], Operations: ['74-68=6'] Exploring Operation: 44-23=21, Resulting Numbers: [6, 21] Generated Node #3: [6, 21] from Operation: 44-23=21 Current State: 15:[6, 21], Operations: ['74-68=6', '44-23=21'] Exploring Operation: 21-6=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 23, 95, 19, 27 ]
97
[ "19+27=46", "46/23=2", "95+2=97" ]
Current State: 97:[23, 95, 19, 27], Operations: [] Exploring Operation: 19+27=46, Resulting Numbers: [23, 95, 46] Generated Node #2: [23, 95, 46] from Operation: 19+27=46 Current State: 97:[23, 95, 46], Operations: ['19+27=46'] Exploring Operation: 46/23=2, Resulting Numbers: [95, 2] Generated Node #3: [95, 2] from Operation: 46/23=2 Current State: 97:[95, 2], Operations: ['19+27=46', '46/23=2'] Exploring Operation: 95+2=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 5, 21, 22, 41 ]
42
[ "5*21=105", "22+41=63", "105-63=42" ]
Current State: 42:[5, 21, 22, 41], Operations: [] Exploring Operation: 5*21=105, Resulting Numbers: [22, 41, 105] Generated Node #2: [22, 41, 105] from Operation: 5*21=105 Current State: 42:[22, 41, 105], Operations: ['5*21=105'] Exploring Operation: 22+41=63, Resulting Numbers: [105, 63] Generated Node #3: [105, 63] from Operation: 22+41=63 Current State: 42:[105, 63], Operations: ['5*21=105', '22+41=63'] Exploring Operation: 105-63=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 58, 12, 4, 95 ]
79
[ "58*12=696", "696/4=174", "174-95=79" ]
Current State: 79:[58, 12, 4, 95], Operations: [] Exploring Operation: 58*12=696, Resulting Numbers: [4, 95, 696] Generated Node #2: [4, 95, 696] from Operation: 58*12=696 Current State: 79:[4, 95, 696], Operations: ['58*12=696'] Exploring Operation: 696/4=174, Resulting Numbers: [95, 174] Generated Node #3: [95, 174] from Operation: 696/4=174 Current State: 79:[95, 174], Operations: ['58*12=696', '696/4=174'] Exploring Operation: 174-95=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 39, 45, 88, 59 ]
63
[ "39+45=84", "88+59=147", "147-84=63" ]
Current State: 63:[39, 45, 88, 59], Operations: [] Exploring Operation: 39+45=84, Resulting Numbers: [88, 59, 84] Generated Node #2: [88, 59, 84] from Operation: 39+45=84 Current State: 63:[88, 59, 84], Operations: ['39+45=84'] Exploring Operation: 88+59=147, Resulting Numbers: [84, 147] Generated Node #3: [84, 147] from Operation: 88+59=147 Current State: 63:[84, 147], Operations: ['39+45=84', '88+59=147'] Exploring Operation: 147-84=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 20, 10, 93, 46 ]
10
[ "20*46=920", "10*93=930", "930-920=10" ]
Current State: 10:[20, 10, 93, 46], Operations: [] Exploring Operation: 20*46=920, Resulting Numbers: [10, 93, 920] Generated Node #2: [10, 93, 920] from Operation: 20*46=920 Current State: 10:[10, 93, 920], Operations: ['20*46=920'] Exploring Operation: 10*93=930, Resulting Numbers: [920, 930] Generated Node #3: [920, 930] from Operation: 10*93=930 Current State: 10:[920, 930], Operations: ['20*46=920', '10*93=930'] Exploring Operation: 930-920=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 85, 19, 52, 13 ]
26
[ "85+19=104", "52/13=4", "104/4=26" ]
Current State: 26:[85, 19, 52, 13], Operations: [] Exploring Operation: 85+19=104, Resulting Numbers: [52, 13, 104] Generated Node #2: [52, 13, 104] from Operation: 85+19=104 Current State: 26:[52, 13, 104], Operations: ['85+19=104'] Exploring Operation: 52/13=4, Resulting Numbers: [104, 4] Generated Node #3: [104, 4] from Operation: 52/13=4 Current State: 26:[104, 4], Operations: ['85+19=104', '52/13=4'] Exploring Operation: 104/4=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 35, 46, 86, 54 ]
59
[ "35+46=81", "86+54=140", "140-81=59" ]
Current State: 59:[35, 46, 86, 54], Operations: [] Exploring Operation: 35+46=81, Resulting Numbers: [86, 54, 81] Generated Node #2: [86, 54, 81] from Operation: 35+46=81 Current State: 59:[86, 54, 81], Operations: ['35+46=81'] Exploring Operation: 86+54=140, Resulting Numbers: [81, 140] Generated Node #3: [81, 140] from Operation: 86+54=140 Current State: 59:[81, 140], Operations: ['35+46=81', '86+54=140'] Exploring Operation: 140-81=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 76, 20, 6, 76 ]
14
[ "76+20=96", "6+76=82", "96-82=14" ]
Current State: 14:[76, 20, 6, 76], Operations: [] Exploring Operation: 76+20=96, Resulting Numbers: [6, 96] Generated Node #2: [6, 96] from Operation: 76+20=96 Current State: 14:[6, 96], Operations: ['76+20=96'] Exploring Operation: 6+76=82, Resulting Numbers: [96, 82] Generated Node #3: [96, 82] from Operation: 6+76=82 Current State: 14:[96, 82], Operations: ['76+20=96', '6+76=82'] Exploring Operation: 96-82=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 69, 87, 66, 6 ]
69
[ "87-69=18", "18/6=3", "66+3=69" ]
Current State: 69:[69, 87, 66, 6], Operations: [] Exploring Operation: 87-69=18, Resulting Numbers: [66, 6, 18] Generated Node #2: [66, 6, 18] from Operation: 87-69=18 Current State: 69:[66, 6, 18], Operations: ['87-69=18'] Exploring Operation: 18/6=3, Resulting Numbers: [66, 3] Generated Node #3: [66, 3] from Operation: 18/6=3 Current State: 69:[66, 3], Operations: ['87-69=18', '18/6=3'] Exploring Operation: 66+3=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 35, 33, 53, 25 ]
56
[ "35-33=2", "53-25=28", "2*28=56" ]
Current State: 56:[35, 33, 53, 25], Operations: [] Exploring Operation: 35-33=2, Resulting Numbers: [53, 25, 2] Generated Node #2: [53, 25, 2] from Operation: 35-33=2 Current State: 56:[53, 25, 2], Operations: ['35-33=2'] Exploring Operation: 53-25=28, Resulting Numbers: [2, 28] Generated Node #3: [2, 28] from Operation: 53-25=28 Current State: 56:[2, 28], Operations: ['35-33=2', '53-25=28'] Exploring Operation: 2*28=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 13, 87, 21, 60 ]
51
[ "13*87=1131", "1131-60=1071", "1071/21=51" ]
Current State: 51:[13, 87, 21, 60], Operations: [] Exploring Operation: 13*87=1131, Resulting Numbers: [21, 60, 1131] Generated Node #2: [21, 60, 1131] from Operation: 13*87=1131 Current State: 51:[21, 60, 1131], Operations: ['13*87=1131'] Exploring Operation: 1131-60=1071, Resulting Numbers: [21, 1071] Generated Node #3: [21, 1071] from Operation: 1131-60=1071 Current State: 51:[21, 1071], Operations: ['13*87=1131', '1131-60=1071'] Exploring Operation: 1071/21=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 28, 20, 4, 46 ]
70
[ "4+46=50", "28*50=1400", "1400/20=70" ]
Current State: 70:[28, 20, 4, 46], Operations: [] Exploring Operation: 4+46=50, Resulting Numbers: [28, 20, 50] Generated Node #2: [28, 20, 50] from Operation: 4+46=50 Current State: 70:[28, 20, 50], Operations: ['4+46=50'] Exploring Operation: 28*50=1400, Resulting Numbers: [20, 1400] Generated Node #3: [20, 1400] from Operation: 28*50=1400 Current State: 70:[20, 1400], Operations: ['4+46=50', '28*50=1400'] Exploring Operation: 1400/20=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 61, 78, 84, 57 ]
44
[ "78-61=17", "84-57=27", "17+27=44" ]
Current State: 44:[61, 78, 84, 57], Operations: [] Exploring Operation: 78-61=17, Resulting Numbers: [84, 57, 17] Generated Node #2: [84, 57, 17] from Operation: 78-61=17 Current State: 44:[84, 57, 17], Operations: ['78-61=17'] Exploring Operation: 84-57=27, Resulting Numbers: [17, 27] Generated Node #3: [17, 27] from Operation: 84-57=27 Current State: 44:[17, 27], Operations: ['78-61=17', '84-57=27'] Exploring Operation: 17+27=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 1, 92, 79, 4 ]
53
[ "92-79=13", "4*13=52", "1+52=53" ]
Current State: 53:[1, 92, 79, 4], Operations: [] Exploring Operation: 92-79=13, Resulting Numbers: [1, 4, 13] Generated Node #2: [1, 4, 13] from Operation: 92-79=13 Current State: 53:[1, 4, 13], Operations: ['92-79=13'] Exploring Operation: 4*13=52, Resulting Numbers: [1, 52] Generated Node #3: [1, 52] from Operation: 4*13=52 Current State: 53:[1, 52], Operations: ['92-79=13', '4*13=52'] Exploring Operation: 1+52=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 10, 33, 76, 86 ]
67
[ "86-76=10", "10*10=100", "100-33=67" ]
Current State: 67:[10, 33, 76, 86], Operations: [] Exploring Operation: 86-76=10, Resulting Numbers: [10, 33, 10] Generated Node #2: [10, 33, 10] from Operation: 86-76=10 Current State: 67:[10, 33, 10], Operations: ['86-76=10'] Exploring Operation: 10*10=100, Resulting Numbers: [33, 100] Generated Node #3: [33, 100] from Operation: 10*10=100 Current State: 67:[33, 100], Operations: ['86-76=10', '10*10=100'] Exploring Operation: 100-33=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 66, 65, 14, 35 ]
92
[ "65*14=910", "910/35=26", "66+26=92" ]
Current State: 92:[66, 65, 14, 35], Operations: [] Exploring Operation: 65*14=910, Resulting Numbers: [66, 35, 910] Generated Node #2: [66, 35, 910] from Operation: 65*14=910 Current State: 92:[66, 35, 910], Operations: ['65*14=910'] Exploring Operation: 910/35=26, Resulting Numbers: [66, 26] Generated Node #3: [66, 26] from Operation: 910/35=26 Current State: 92:[66, 26], Operations: ['65*14=910', '910/35=26'] Exploring Operation: 66+26=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 23, 32, 37, 88 ]
96
[ "23+88=111", "32*111=3552", "3552/37=96" ]
Current State: 96:[23, 32, 37, 88], Operations: [] Exploring Operation: 23+88=111, Resulting Numbers: [32, 37, 111] Generated Node #2: [32, 37, 111] from Operation: 23+88=111 Current State: 96:[32, 37, 111], Operations: ['23+88=111'] Exploring Operation: 32*111=3552, Resulting Numbers: [37, 3552] Generated Node #3: [37, 3552] from Operation: 32*111=3552 Current State: 96:[37, 3552], Operations: ['23+88=111', '32*111=3552'] Exploring Operation: 3552/37=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 12, 87, 24, 81 ]
22
[ "87-81=6", "12/6=2", "24-2=22" ]
Current State: 22:[12, 87, 24, 81], Operations: [] Exploring Operation: 87-81=6, Resulting Numbers: [12, 24, 6] Generated Node #2: [12, 24, 6] from Operation: 87-81=6 Current State: 22:[12, 24, 6], Operations: ['87-81=6'] Exploring Operation: 12/6=2, Resulting Numbers: [24, 2] Generated Node #3: [24, 2] from Operation: 12/6=2 Current State: 22:[24, 2], Operations: ['87-81=6', '12/6=2'] Exploring Operation: 24-2=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 55, 4, 62, 61 ]
51
[ "55-4=51", "62-61=1", "51*1=51" ]
Current State: 51:[55, 4, 62, 61], Operations: [] Exploring Operation: 55-4=51, Resulting Numbers: [62, 61, 51] Generated Node #2: [62, 61, 51] from Operation: 55-4=51 Current State: 51:[62, 61, 51], Operations: ['55-4=51'] Exploring Operation: 62-61=1, Resulting Numbers: [51, 1] Generated Node #3: [51, 1] from Operation: 62-61=1 Current State: 51:[51, 1], Operations: ['55-4=51', '62-61=1'] Exploring Operation: 51*1=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 70, 9, 30, 43 ]
47
[ "43-30=13", "9*13=117", "117-70=47" ]
Current State: 47:[70, 9, 30, 43], Operations: [] Exploring Operation: 43-30=13, Resulting Numbers: [70, 9, 13] Generated Node #2: [70, 9, 13] from Operation: 43-30=13 Current State: 47:[70, 9, 13], Operations: ['43-30=13'] Exploring Operation: 9*13=117, Resulting Numbers: [70, 117] Generated Node #3: [70, 117] from Operation: 9*13=117 Current State: 47:[70, 117], Operations: ['43-30=13', '9*13=117'] Exploring Operation: 117-70=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 34, 7, 70, 57 ]
91
[ "57-34=23", "7*23=161", "161-70=91" ]
Current State: 91:[34, 7, 70, 57], Operations: [] Exploring Operation: 57-34=23, Resulting Numbers: [7, 70, 23] Generated Node #2: [7, 70, 23] from Operation: 57-34=23 Current State: 91:[7, 70, 23], Operations: ['57-34=23'] Exploring Operation: 7*23=161, Resulting Numbers: [70, 161] Generated Node #3: [70, 161] from Operation: 7*23=161 Current State: 91:[70, 161], Operations: ['57-34=23', '7*23=161'] Exploring Operation: 161-70=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 24, 53, 77, 34 ]
14
[ "53-24=29", "77-34=43", "43-29=14" ]
Current State: 14:[24, 53, 77, 34], Operations: [] Exploring Operation: 53-24=29, Resulting Numbers: [77, 34, 29] Generated Node #2: [77, 34, 29] from Operation: 53-24=29 Current State: 14:[77, 34, 29], Operations: ['53-24=29'] Exploring Operation: 77-34=43, Resulting Numbers: [29, 43] Generated Node #3: [29, 43] from Operation: 77-34=43 Current State: 14:[29, 43], Operations: ['53-24=29', '77-34=43'] Exploring Operation: 43-29=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 79, 99, 97, 82 ]
76
[ "99-97=2", "79*2=158", "158-82=76" ]
Current State: 76:[79, 99, 97, 82], Operations: [] Exploring Operation: 99-97=2, Resulting Numbers: [79, 82, 2] Generated Node #2: [79, 82, 2] from Operation: 99-97=2 Current State: 76:[79, 82, 2], Operations: ['99-97=2'] Exploring Operation: 79*2=158, Resulting Numbers: [82, 158] Generated Node #3: [82, 158] from Operation: 79*2=158 Current State: 76:[82, 158], Operations: ['99-97=2', '79*2=158'] Exploring Operation: 158-82=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 76, 39, 3, 34 ]
61
[ "39-34=5", "3*5=15", "76-15=61" ]
Current State: 61:[76, 39, 3, 34], Operations: [] Exploring Operation: 39-34=5, Resulting Numbers: [76, 3, 5] Generated Node #2: [76, 3, 5] from Operation: 39-34=5 Current State: 61:[76, 3, 5], Operations: ['39-34=5'] Exploring Operation: 3*5=15, Resulting Numbers: [76, 15] Generated Node #3: [76, 15] from Operation: 3*5=15 Current State: 61:[76, 15], Operations: ['39-34=5', '3*5=15'] Exploring Operation: 76-15=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 7, 9, 67, 87 ]
22
[ "9-7=2", "87-67=20", "2+20=22" ]
Current State: 22:[7, 9, 67, 87], Operations: [] Exploring Operation: 9-7=2, Resulting Numbers: [67, 87, 2] Generated Node #2: [67, 87, 2] from Operation: 9-7=2 Current State: 22:[67, 87, 2], Operations: ['9-7=2'] Exploring Operation: 87-67=20, Resulting Numbers: [2, 20] Generated Node #3: [2, 20] from Operation: 87-67=20 Current State: 22:[2, 20], Operations: ['9-7=2', '87-67=20'] Exploring Operation: 2+20=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 21, 5, 27, 3 ]
72
[ "21*3=63", "5*27=135", "135-63=72" ]
Current State: 72:[21, 5, 27, 3], Operations: [] Exploring Operation: 21*3=63, Resulting Numbers: [5, 27, 63] Generated Node #2: [5, 27, 63] from Operation: 21*3=63 Current State: 72:[5, 27, 63], Operations: ['21*3=63'] Exploring Operation: 5*27=135, Resulting Numbers: [63, 135] Generated Node #3: [63, 135] from Operation: 5*27=135 Current State: 72:[63, 135], Operations: ['21*3=63', '5*27=135'] Exploring Operation: 135-63=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 34, 65, 38, 4 ]
64
[ "38-34=4", "4/4=1", "65-1=64" ]
Current State: 64:[34, 65, 38, 4], Operations: [] Exploring Operation: 38-34=4, Resulting Numbers: [65, 4, 4] Generated Node #2: [65, 4, 4] from Operation: 38-34=4 Current State: 64:[65, 4, 4], Operations: ['38-34=4'] Exploring Operation: 4/4=1, Resulting Numbers: [65, 1] Generated Node #3: [65, 1] from Operation: 4/4=1 Current State: 64:[65, 1], Operations: ['38-34=4', '4/4=1'] Exploring Operation: 65-1=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 90, 31, 73, 2 ]
96
[ "90+31=121", "121-73=48", "2*48=96" ]
Current State: 96:[90, 31, 73, 2], Operations: [] Exploring Operation: 90+31=121, Resulting Numbers: [73, 2, 121] Generated Node #2: [73, 2, 121] from Operation: 90+31=121 Current State: 96:[73, 2, 121], Operations: ['90+31=121'] Exploring Operation: 121-73=48, Resulting Numbers: [2, 48] Generated Node #3: [2, 48] from Operation: 121-73=48 Current State: 96:[2, 48], Operations: ['90+31=121', '121-73=48'] Exploring Operation: 2*48=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4