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
[ 94, 80, 36, 98 ]
89
[ "98-94=4", "36/4=9", "80+9=89" ]
Current State: 89:[94, 80, 36, 98], Operations: [] Exploring Operation: 98-94=4, Resulting Numbers: [80, 36, 4] Generated Node #2: [80, 36, 4] from Operation: 98-94=4 Current State: 89:[80, 36, 4], Operations: ['98-94=4'] Exploring Operation: 36/4=9, Resulting Numbers: [80, 9] Generated Node #3: [80, 9] from Operation: 36/4=9 Current State: 89:[80, 9], Operations: ['98-94=4', '36/4=9'] Exploring Operation: 80+9=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 48, 24, 71, 3 ]
70
[ "48/24=2", "71-3=68", "2+68=70" ]
Current State: 70:[48, 24, 71, 3], Operations: [] Exploring Operation: 48/24=2, Resulting Numbers: [71, 3, 2] Generated Node #2: [71, 3, 2] from Operation: 48/24=2 Current State: 70:[71, 3, 2], Operations: ['48/24=2'] Exploring Operation: 71-3=68, Resulting Numbers: [2, 68] Generated Node #3: [2, 68] from Operation: 71-3=68 Current State: 70:[2, 68], Operations: ['48/24=2', '71-3=68'] Exploring Operation: 2+68=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 19, 89, 13, 80 ]
20
[ "19*80=1520", "89-13=76", "1520/76=20" ]
Current State: 20:[19, 89, 13, 80], Operations: [] Exploring Operation: 19*80=1520, Resulting Numbers: [89, 13, 1520] Generated Node #2: [89, 13, 1520] from Operation: 19*80=1520 Current State: 20:[89, 13, 1520], Operations: ['19*80=1520'] Exploring Operation: 89-13=76, Resulting Numbers: [1520, 76] Generated Node #3: [1520, 76] from Operation: 89-13=76 Current State: 20:[1520, 76], Operations: ['19*80=1520', '89-13=76'] Exploring Operation: 1520/76=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 4, 35, 42, 20 ]
73
[ "4*20=80", "42-35=7", "80-7=73" ]
Current State: 73:[4, 35, 42, 20], Operations: [] Exploring Operation: 4*20=80, Resulting Numbers: [35, 42, 80] Generated Node #2: [35, 42, 80] from Operation: 4*20=80 Current State: 73:[35, 42, 80], Operations: ['4*20=80'] Exploring Operation: 42-35=7, Resulting Numbers: [80, 7] Generated Node #3: [80, 7] from Operation: 42-35=7 Current State: 73:[80, 7], Operations: ['4*20=80', '42-35=7'] Exploring Operation: 80-7=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 18, 2, 98, 40 ]
47
[ "98-40=58", "58/2=29", "18+29=47" ]
Current State: 47:[18, 2, 98, 40], Operations: [] Exploring Operation: 98-40=58, Resulting Numbers: [18, 2, 58] Generated Node #2: [18, 2, 58] from Operation: 98-40=58 Current State: 47:[18, 2, 58], Operations: ['98-40=58'] Exploring Operation: 58/2=29, Resulting Numbers: [18, 29] Generated Node #3: [18, 29] from Operation: 58/2=29 Current State: 47:[18, 29], Operations: ['98-40=58', '58/2=29'] Exploring Operation: 18+29=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 80, 42, 2, 41 ]
18
[ "80-41=39", "42/2=21", "39-21=18" ]
Current State: 18:[80, 42, 2, 41], Operations: [] Exploring Operation: 80-41=39, Resulting Numbers: [42, 2, 39] Generated Node #2: [42, 2, 39] from Operation: 80-41=39 Current State: 18:[42, 2, 39], Operations: ['80-41=39'] Exploring Operation: 42/2=21, Resulting Numbers: [39, 21] Generated Node #3: [39, 21] from Operation: 42/2=21 Current State: 18:[39, 21], Operations: ['80-41=39', '42/2=21'] Exploring Operation: 39-21=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 5, 31, 97, 72 ]
36
[ "97-72=25", "25/5=5", "31+5=36" ]
Current State: 36:[5, 31, 97, 72], Operations: [] Exploring Operation: 97-72=25, Resulting Numbers: [5, 31, 25] Generated Node #2: [5, 31, 25] from Operation: 97-72=25 Current State: 36:[5, 31, 25], Operations: ['97-72=25'] Exploring Operation: 25/5=5, Resulting Numbers: [31, 5] Generated Node #3: [31, 5] from Operation: 25/5=5 Current State: 36:[31, 5], Operations: ['97-72=25', '25/5=5'] Exploring Operation: 31+5=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 44, 70, 27, 2 ]
42
[ "70-27=43", "2*43=86", "86-44=42" ]
Current State: 42:[44, 70, 27, 2], Operations: [] Exploring Operation: 70-27=43, Resulting Numbers: [44, 2, 43] Generated Node #2: [44, 2, 43] from Operation: 70-27=43 Current State: 42:[44, 2, 43], Operations: ['70-27=43'] Exploring Operation: 2*43=86, Resulting Numbers: [44, 86] Generated Node #3: [44, 86] from Operation: 2*43=86 Current State: 42:[44, 86], Operations: ['70-27=43', '2*43=86'] Exploring Operation: 86-44=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 24, 75, 69, 46 ]
75
[ "69-24=45", "46-45=1", "75*1=75" ]
Current State: 75:[24, 75, 69, 46], Operations: [] Exploring Operation: 69-24=45, Resulting Numbers: [75, 46, 45] Generated Node #2: [75, 46, 45] from Operation: 69-24=45 Current State: 75:[75, 46, 45], Operations: ['69-24=45'] Exploring Operation: 46-45=1, Resulting Numbers: [75, 1] Generated Node #3: [75, 1] from Operation: 46-45=1 Current State: 75:[75, 1], Operations: ['69-24=45', '46-45=1'] Exploring Operation: 75*1=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 43, 27, 64, 8 ]
48
[ "43+27=70", "70-64=6", "8*6=48" ]
Current State: 48:[43, 27, 64, 8], Operations: [] Exploring Operation: 43+27=70, Resulting Numbers: [64, 8, 70] Generated Node #2: [64, 8, 70] from Operation: 43+27=70 Current State: 48:[64, 8, 70], Operations: ['43+27=70'] Exploring Operation: 70-64=6, Resulting Numbers: [8, 6] Generated Node #3: [8, 6] from Operation: 70-64=6 Current State: 48:[8, 6], Operations: ['43+27=70', '70-64=6'] Exploring Operation: 8*6=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 47, 95, 51, 96 ]
53
[ "95-47=48", "96/48=2", "51+2=53" ]
Current State: 53:[47, 95, 51, 96], Operations: [] Exploring Operation: 95-47=48, Resulting Numbers: [51, 96, 48] Generated Node #2: [51, 96, 48] from Operation: 95-47=48 Current State: 53:[51, 96, 48], Operations: ['95-47=48'] Exploring Operation: 96/48=2, Resulting Numbers: [51, 2] Generated Node #3: [51, 2] from Operation: 96/48=2 Current State: 53:[51, 2], Operations: ['95-47=48', '96/48=2'] Exploring Operation: 51+2=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 60, 28, 80, 58 ]
94
[ "60-58=2", "28/2=14", "80+14=94" ]
Current State: 94:[60, 28, 80, 58], Operations: [] Exploring Operation: 60-58=2, Resulting Numbers: [28, 80, 2] Generated Node #2: [28, 80, 2] from Operation: 60-58=2 Current State: 94:[28, 80, 2], Operations: ['60-58=2'] Exploring Operation: 28/2=14, Resulting Numbers: [80, 14] Generated Node #3: [80, 14] from Operation: 28/2=14 Current State: 94:[80, 14], Operations: ['60-58=2', '28/2=14'] Exploring Operation: 80+14=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 87, 44, 50, 98 ]
91
[ "87-44=43", "98-50=48", "43+48=91" ]
Current State: 91:[87, 44, 50, 98], Operations: [] Exploring Operation: 87-44=43, Resulting Numbers: [50, 98, 43] Generated Node #2: [50, 98, 43] from Operation: 87-44=43 Current State: 91:[50, 98, 43], Operations: ['87-44=43'] Exploring Operation: 98-50=48, Resulting Numbers: [43, 48] Generated Node #3: [43, 48] from Operation: 98-50=48 Current State: 91:[43, 48], Operations: ['87-44=43', '98-50=48'] Exploring Operation: 43+48=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 31, 61, 2, 18 ]
28
[ "31+61=92", "92/2=46", "46-18=28" ]
Current State: 28:[31, 61, 2, 18], Operations: [] Exploring Operation: 31+61=92, Resulting Numbers: [2, 18, 92] Generated Node #2: [2, 18, 92] from Operation: 31+61=92 Current State: 28:[2, 18, 92], Operations: ['31+61=92'] Exploring Operation: 92/2=46, Resulting Numbers: [18, 46] Generated Node #3: [18, 46] from Operation: 92/2=46 Current State: 28:[18, 46], Operations: ['31+61=92', '92/2=46'] Exploring Operation: 46-18=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 10, 15, 20, 49 ]
62
[ "20/10=2", "15+49=64", "64-2=62" ]
Current State: 62:[10, 15, 20, 49], Operations: [] Exploring Operation: 20/10=2, Resulting Numbers: [15, 49, 2] Generated Node #2: [15, 49, 2] from Operation: 20/10=2 Current State: 62:[15, 49, 2], Operations: ['20/10=2'] Exploring Operation: 15+49=64, Resulting Numbers: [2, 64] Generated Node #3: [2, 64] from Operation: 15+49=64 Current State: 62:[2, 64], Operations: ['20/10=2', '15+49=64'] Exploring Operation: 64-2=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 54, 59, 50, 17 ]
46
[ "54+59=113", "50+17=67", "113-67=46" ]
Current State: 46:[54, 59, 50, 17], Operations: [] Exploring Operation: 54+59=113, Resulting Numbers: [50, 17, 113] Generated Node #2: [50, 17, 113] from Operation: 54+59=113 Current State: 46:[50, 17, 113], Operations: ['54+59=113'] Exploring Operation: 50+17=67, Resulting Numbers: [113, 67] Generated Node #3: [113, 67] from Operation: 50+17=67 Current State: 46:[113, 67], Operations: ['54+59=113', '50+17=67'] Exploring Operation: 113-67=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 61, 41, 49, 64 ]
53
[ "49-41=8", "64/8=8", "61-8=53" ]
Current State: 53:[61, 41, 49, 64], Operations: [] Exploring Operation: 49-41=8, Resulting Numbers: [61, 64, 8] Generated Node #2: [61, 64, 8] from Operation: 49-41=8 Current State: 53:[61, 64, 8], Operations: ['49-41=8'] Exploring Operation: 64/8=8, Resulting Numbers: [61, 8] Generated Node #3: [61, 8] from Operation: 64/8=8 Current State: 53:[61, 8], Operations: ['49-41=8', '64/8=8'] Exploring Operation: 61-8=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 6, 64, 52, 62 ]
44
[ "6+64=70", "52+62=114", "114-70=44" ]
Current State: 44:[6, 64, 52, 62], Operations: [] Exploring Operation: 6+64=70, Resulting Numbers: [52, 62, 70] Generated Node #2: [52, 62, 70] from Operation: 6+64=70 Current State: 44:[52, 62, 70], Operations: ['6+64=70'] Exploring Operation: 52+62=114, Resulting Numbers: [70, 114] Generated Node #3: [70, 114] from Operation: 52+62=114 Current State: 44:[70, 114], Operations: ['6+64=70', '52+62=114'] Exploring Operation: 114-70=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 37, 7, 14, 45 ]
53
[ "14/7=2", "45*2=90", "90-37=53" ]
Current State: 53:[37, 7, 14, 45], Operations: [] Exploring Operation: 14/7=2, Resulting Numbers: [37, 45, 2] Generated Node #2: [37, 45, 2] from Operation: 14/7=2 Current State: 53:[37, 45, 2], Operations: ['14/7=2'] Exploring Operation: 45*2=90, Resulting Numbers: [37, 90] Generated Node #3: [37, 90] from Operation: 45*2=90 Current State: 53:[37, 90], Operations: ['14/7=2', '45*2=90'] Exploring Operation: 90-37=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 21, 95, 6, 4 ]
76
[ "95-21=74", "6-4=2", "74+2=76" ]
Current State: 76:[21, 95, 6, 4], Operations: [] Exploring Operation: 95-21=74, Resulting Numbers: [6, 4, 74] Generated Node #2: [6, 4, 74] from Operation: 95-21=74 Current State: 76:[6, 4, 74], Operations: ['95-21=74'] Exploring Operation: 6-4=2, Resulting Numbers: [74, 2] Generated Node #3: [74, 2] from Operation: 6-4=2 Current State: 76:[74, 2], Operations: ['95-21=74', '6-4=2'] Exploring Operation: 74+2=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 56, 57, 13, 7 ]
46
[ "57+13=70", "70/7=10", "56-10=46" ]
Current State: 46:[56, 57, 13, 7], Operations: [] Exploring Operation: 57+13=70, Resulting Numbers: [56, 7, 70] Generated Node #2: [56, 7, 70] from Operation: 57+13=70 Current State: 46:[56, 7, 70], Operations: ['57+13=70'] Exploring Operation: 70/7=10, Resulting Numbers: [56, 10] Generated Node #3: [56, 10] from Operation: 70/7=10 Current State: 46:[56, 10], Operations: ['57+13=70', '70/7=10'] Exploring Operation: 56-10=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 69, 6, 4, 17 ]
62
[ "69+6=75", "17-4=13", "75-13=62" ]
Current State: 62:[69, 6, 4, 17], Operations: [] Exploring Operation: 69+6=75, Resulting Numbers: [4, 17, 75] Generated Node #2: [4, 17, 75] from Operation: 69+6=75 Current State: 62:[4, 17, 75], Operations: ['69+6=75'] Exploring Operation: 17-4=13, Resulting Numbers: [75, 13] Generated Node #3: [75, 13] from Operation: 17-4=13 Current State: 62:[75, 13], Operations: ['69+6=75', '17-4=13'] Exploring Operation: 75-13=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 87, 42, 69, 46 ]
23
[ "42*46=1932", "69+1932=2001", "2001/87=23" ]
Current State: 23:[87, 42, 69, 46], Operations: [] Exploring Operation: 42*46=1932, Resulting Numbers: [87, 69, 1932] Generated Node #2: [87, 69, 1932] from Operation: 42*46=1932 Current State: 23:[87, 69, 1932], Operations: ['42*46=1932'] Exploring Operation: 69+1932=2001, Resulting Numbers: [87, 2001] Generated Node #3: [87, 2001] from Operation: 69+1932=2001 Current State: 23:[87, 2001], Operations: ['42*46=1932', '69+1932=2001'] Exploring Operation: 2001/87=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 54, 3, 65, 68 ]
29
[ "54*3=162", "65+68=133", "162-133=29" ]
Current State: 29:[54, 3, 65, 68], Operations: [] Exploring Operation: 54*3=162, Resulting Numbers: [65, 68, 162] Generated Node #2: [65, 68, 162] from Operation: 54*3=162 Current State: 29:[65, 68, 162], Operations: ['54*3=162'] Exploring Operation: 65+68=133, Resulting Numbers: [162, 133] Generated Node #3: [162, 133] from Operation: 65+68=133 Current State: 29:[162, 133], Operations: ['54*3=162', '65+68=133'] Exploring Operation: 162-133=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 9, 25, 49, 56 ]
71
[ "9+25=34", "49+56=105", "105-34=71" ]
Current State: 71:[9, 25, 49, 56], Operations: [] Exploring Operation: 9+25=34, Resulting Numbers: [49, 56, 34] Generated Node #2: [49, 56, 34] from Operation: 9+25=34 Current State: 71:[49, 56, 34], Operations: ['9+25=34'] Exploring Operation: 49+56=105, Resulting Numbers: [34, 105] Generated Node #3: [34, 105] from Operation: 49+56=105 Current State: 71:[34, 105], Operations: ['9+25=34', '49+56=105'] Exploring Operation: 105-34=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 8, 44, 30, 98 ]
67
[ "44*30=1320", "1320/8=165", "165-98=67" ]
Current State: 67:[8, 44, 30, 98], Operations: [] Exploring Operation: 44*30=1320, Resulting Numbers: [8, 98, 1320] Generated Node #2: [8, 98, 1320] from Operation: 44*30=1320 Current State: 67:[8, 98, 1320], Operations: ['44*30=1320'] Exploring Operation: 1320/8=165, Resulting Numbers: [98, 165] Generated Node #3: [98, 165] from Operation: 1320/8=165 Current State: 67:[98, 165], Operations: ['44*30=1320', '1320/8=165'] Exploring Operation: 165-98=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 60, 90, 66, 71 ]
35
[ "90-60=30", "71-66=5", "30+5=35" ]
Current State: 35:[60, 90, 66, 71], Operations: [] Exploring Operation: 90-60=30, Resulting Numbers: [66, 71, 30] Generated Node #2: [66, 71, 30] from Operation: 90-60=30 Current State: 35:[66, 71, 30], Operations: ['90-60=30'] Exploring Operation: 71-66=5, Resulting Numbers: [30, 5] Generated Node #3: [30, 5] from Operation: 71-66=5 Current State: 35:[30, 5], Operations: ['90-60=30', '71-66=5'] Exploring Operation: 30+5=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 14, 73, 7, 21 ]
46
[ "14*7=98", "73-21=52", "98-52=46" ]
Current State: 46:[14, 73, 7, 21], Operations: [] Exploring Operation: 14*7=98, Resulting Numbers: [73, 21, 98] Generated Node #2: [73, 21, 98] from Operation: 14*7=98 Current State: 46:[73, 21, 98], Operations: ['14*7=98'] Exploring Operation: 73-21=52, Resulting Numbers: [98, 52] Generated Node #3: [98, 52] from Operation: 73-21=52 Current State: 46:[98, 52], Operations: ['14*7=98', '73-21=52'] Exploring Operation: 98-52=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 16, 42, 26, 60 ]
92
[ "16+42=58", "60-26=34", "58+34=92" ]
Current State: 92:[16, 42, 26, 60], Operations: [] Exploring Operation: 16+42=58, Resulting Numbers: [26, 60, 58] Generated Node #2: [26, 60, 58] from Operation: 16+42=58 Current State: 92:[26, 60, 58], Operations: ['16+42=58'] Exploring Operation: 60-26=34, Resulting Numbers: [58, 34] Generated Node #3: [58, 34] from Operation: 60-26=34 Current State: 92:[58, 34], Operations: ['16+42=58', '60-26=34'] Exploring Operation: 58+34=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 9, 31, 61, 50 ]
68
[ "61-50=11", "9*11=99", "99-31=68" ]
Current State: 68:[9, 31, 61, 50], Operations: [] Exploring Operation: 61-50=11, Resulting Numbers: [9, 31, 11] Generated Node #2: [9, 31, 11] from Operation: 61-50=11 Current State: 68:[9, 31, 11], Operations: ['61-50=11'] Exploring Operation: 9*11=99, Resulting Numbers: [31, 99] Generated Node #3: [31, 99] from Operation: 9*11=99 Current State: 68:[31, 99], Operations: ['61-50=11', '9*11=99'] Exploring Operation: 99-31=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 67, 40, 80, 73 ]
100
[ "67+40=107", "80-73=7", "107-7=100" ]
Current State: 100:[67, 40, 80, 73], Operations: [] Exploring Operation: 67+40=107, Resulting Numbers: [80, 73, 107] Generated Node #2: [80, 73, 107] from Operation: 67+40=107 Current State: 100:[80, 73, 107], Operations: ['67+40=107'] Exploring Operation: 80-73=7, Resulting Numbers: [107, 7] Generated Node #3: [107, 7] from Operation: 80-73=7 Current State: 100:[107, 7], Operations: ['67+40=107', '80-73=7'] Exploring Operation: 107-7=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 91, 26, 69, 86 ]
48
[ "91-26=65", "86-69=17", "65-17=48" ]
Current State: 48:[91, 26, 69, 86], Operations: [] Exploring Operation: 91-26=65, Resulting Numbers: [69, 86, 65] Generated Node #2: [69, 86, 65] from Operation: 91-26=65 Current State: 48:[69, 86, 65], Operations: ['91-26=65'] Exploring Operation: 86-69=17, Resulting Numbers: [65, 17] Generated Node #3: [65, 17] from Operation: 86-69=17 Current State: 48:[65, 17], Operations: ['91-26=65', '86-69=17'] Exploring Operation: 65-17=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 26, 47, 78, 57 ]
84
[ "78/26=3", "47*3=141", "141-57=84" ]
Current State: 84:[26, 47, 78, 57], Operations: [] Exploring Operation: 78/26=3, Resulting Numbers: [47, 57, 3] Generated Node #2: [47, 57, 3] from Operation: 78/26=3 Current State: 84:[47, 57, 3], Operations: ['78/26=3'] Exploring Operation: 47*3=141, Resulting Numbers: [57, 141] Generated Node #3: [57, 141] from Operation: 47*3=141 Current State: 84:[57, 141], Operations: ['78/26=3', '47*3=141'] Exploring Operation: 141-57=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 71, 2, 47, 82 ]
25
[ "82-71=11", "2*11=22", "47-22=25" ]
Current State: 25:[71, 2, 47, 82], Operations: [] Exploring Operation: 82-71=11, Resulting Numbers: [2, 47, 11] Generated Node #2: [2, 47, 11] from Operation: 82-71=11 Current State: 25:[2, 47, 11], Operations: ['82-71=11'] Exploring Operation: 2*11=22, Resulting Numbers: [47, 22] Generated Node #3: [47, 22] from Operation: 2*11=22 Current State: 25:[47, 22], Operations: ['82-71=11', '2*11=22'] Exploring Operation: 47-22=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 81, 67, 17, 39 ]
36
[ "81-67=14", "39-17=22", "14+22=36" ]
Current State: 36:[81, 67, 17, 39], Operations: [] Exploring Operation: 81-67=14, Resulting Numbers: [17, 39, 14] Generated Node #2: [17, 39, 14] from Operation: 81-67=14 Current State: 36:[17, 39, 14], Operations: ['81-67=14'] Exploring Operation: 39-17=22, Resulting Numbers: [14, 22] Generated Node #3: [14, 22] from Operation: 39-17=22 Current State: 36:[14, 22], Operations: ['81-67=14', '39-17=22'] Exploring Operation: 14+22=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 71, 28, 1, 27 ]
70
[ "71-28=43", "1*27=27", "43+27=70" ]
Current State: 70:[71, 28, 1, 27], Operations: [] Exploring Operation: 71-28=43, Resulting Numbers: [1, 27, 43] Generated Node #2: [1, 27, 43] from Operation: 71-28=43 Current State: 70:[1, 27, 43], Operations: ['71-28=43'] Exploring Operation: 1*27=27, Resulting Numbers: [43, 27] Generated Node #3: [43, 27] from Operation: 1*27=27 Current State: 70:[43, 27], Operations: ['71-28=43', '1*27=27'] Exploring Operation: 43+27=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 41, 89, 46, 71 ]
69
[ "89-41=48", "46+71=117", "117-48=69" ]
Current State: 69:[41, 89, 46, 71], Operations: [] Exploring Operation: 89-41=48, Resulting Numbers: [46, 71, 48] Generated Node #2: [46, 71, 48] from Operation: 89-41=48 Current State: 69:[46, 71, 48], Operations: ['89-41=48'] Exploring Operation: 46+71=117, Resulting Numbers: [48, 117] Generated Node #3: [48, 117] from Operation: 46+71=117 Current State: 69:[48, 117], Operations: ['89-41=48', '46+71=117'] Exploring Operation: 117-48=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 52, 78, 41, 73 ]
16
[ "52+78=130", "41+73=114", "130-114=16" ]
Current State: 16:[52, 78, 41, 73], Operations: [] Exploring Operation: 52+78=130, Resulting Numbers: [41, 73, 130] Generated Node #2: [41, 73, 130] from Operation: 52+78=130 Current State: 16:[41, 73, 130], Operations: ['52+78=130'] Exploring Operation: 41+73=114, Resulting Numbers: [130, 114] Generated Node #3: [130, 114] from Operation: 41+73=114 Current State: 16:[130, 114], Operations: ['52+78=130', '41+73=114'] Exploring Operation: 130-114=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 21, 5, 50, 72 ]
17
[ "21*5=105", "50+72=122", "122-105=17" ]
Current State: 17:[21, 5, 50, 72], Operations: [] Exploring Operation: 21*5=105, Resulting Numbers: [50, 72, 105] Generated Node #2: [50, 72, 105] from Operation: 21*5=105 Current State: 17:[50, 72, 105], Operations: ['21*5=105'] Exploring Operation: 50+72=122, Resulting Numbers: [105, 122] Generated Node #3: [105, 122] from Operation: 50+72=122 Current State: 17:[105, 122], Operations: ['21*5=105', '50+72=122'] Exploring Operation: 122-105=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 8, 3, 38, 47 ]
80
[ "8-3=5", "38+47=85", "85-5=80" ]
Current State: 80:[8, 3, 38, 47], Operations: [] Exploring Operation: 8-3=5, Resulting Numbers: [38, 47, 5] Generated Node #2: [38, 47, 5] from Operation: 8-3=5 Current State: 80:[38, 47, 5], Operations: ['8-3=5'] Exploring Operation: 38+47=85, Resulting Numbers: [5, 85] Generated Node #3: [5, 85] from Operation: 38+47=85 Current State: 80:[5, 85], Operations: ['8-3=5', '38+47=85'] Exploring Operation: 85-5=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 23, 40, 60, 58 ]
19
[ "40-23=17", "60-58=2", "17+2=19" ]
Current State: 19:[23, 40, 60, 58], Operations: [] Exploring Operation: 40-23=17, Resulting Numbers: [60, 58, 17] Generated Node #2: [60, 58, 17] from Operation: 40-23=17 Current State: 19:[60, 58, 17], Operations: ['40-23=17'] Exploring Operation: 60-58=2, Resulting Numbers: [17, 2] Generated Node #3: [17, 2] from Operation: 60-58=2 Current State: 19:[17, 2], Operations: ['40-23=17', '60-58=2'] Exploring Operation: 17+2=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 19, 40, 37, 80 ]
40
[ "19*80=1520", "40*37=1480", "1520-1480=40" ]
Current State: 40:[19, 40, 37, 80], Operations: [] Exploring Operation: 19*80=1520, Resulting Numbers: [40, 37, 1520] Generated Node #2: [40, 37, 1520] from Operation: 19*80=1520 Current State: 40:[40, 37, 1520], Operations: ['19*80=1520'] Exploring Operation: 40*37=1480, Resulting Numbers: [1520, 1480] Generated Node #3: [1520, 1480] from Operation: 40*37=1480 Current State: 40:[1520, 1480], Operations: ['19*80=1520', '40*37=1480'] Exploring Operation: 1520-1480=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 3, 39, 5, 45 ]
77
[ "3*39=117", "45-5=40", "117-40=77" ]
Current State: 77:[3, 39, 5, 45], Operations: [] Exploring Operation: 3*39=117, Resulting Numbers: [5, 45, 117] Generated Node #2: [5, 45, 117] from Operation: 3*39=117 Current State: 77:[5, 45, 117], Operations: ['3*39=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: ['3*39=117', '45-5=40'] Exploring Operation: 117-40=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 13, 66, 28, 2 ]
27
[ "66-13=53", "28-2=26", "53-26=27" ]
Current State: 27:[13, 66, 28, 2], Operations: [] Exploring Operation: 66-13=53, Resulting Numbers: [28, 2, 53] Generated Node #2: [28, 2, 53] from Operation: 66-13=53 Current State: 27:[28, 2, 53], Operations: ['66-13=53'] Exploring Operation: 28-2=26, Resulting Numbers: [53, 26] Generated Node #3: [53, 26] from Operation: 28-2=26 Current State: 27:[53, 26], Operations: ['66-13=53', '28-2=26'] Exploring Operation: 53-26=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 2, 33, 61, 94 ]
99
[ "2*33=66", "94-61=33", "66+33=99" ]
Current State: 99:[2, 33, 61, 94], Operations: [] Exploring Operation: 2*33=66, Resulting Numbers: [61, 94, 66] Generated Node #2: [61, 94, 66] from Operation: 2*33=66 Current State: 99:[61, 94, 66], Operations: ['2*33=66'] Exploring Operation: 94-61=33, Resulting Numbers: [66, 33] Generated Node #3: [66, 33] from Operation: 94-61=33 Current State: 99:[66, 33], Operations: ['2*33=66', '94-61=33'] Exploring Operation: 66+33=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 56, 7, 14, 45 ]
22
[ "56-45=11", "14/7=2", "11*2=22" ]
Current State: 22:[56, 7, 14, 45], Operations: [] Exploring Operation: 56-45=11, Resulting Numbers: [7, 14, 11] Generated Node #2: [7, 14, 11] from Operation: 56-45=11 Current State: 22:[7, 14, 11], Operations: ['56-45=11'] Exploring Operation: 14/7=2, Resulting Numbers: [11, 2] Generated Node #3: [11, 2] from Operation: 14/7=2 Current State: 22:[11, 2], Operations: ['56-45=11', '14/7=2'] Exploring Operation: 11*2=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 2, 32, 18, 51 ]
52
[ "2*51=102", "32+18=50", "102-50=52" ]
Current State: 52:[2, 32, 18, 51], Operations: [] Exploring Operation: 2*51=102, Resulting Numbers: [32, 18, 102] Generated Node #2: [32, 18, 102] from Operation: 2*51=102 Current State: 52:[32, 18, 102], Operations: ['2*51=102'] Exploring Operation: 32+18=50, Resulting Numbers: [102, 50] Generated Node #3: [102, 50] from Operation: 32+18=50 Current State: 52:[102, 50], Operations: ['2*51=102', '32+18=50'] Exploring Operation: 102-50=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 42, 97, 81, 83 ]
76
[ "83-81=2", "42/2=21", "97-21=76" ]
Current State: 76:[42, 97, 81, 83], Operations: [] Exploring Operation: 83-81=2, Resulting Numbers: [42, 97, 2] Generated Node #2: [42, 97, 2] from Operation: 83-81=2 Current State: 76:[42, 97, 2], Operations: ['83-81=2'] Exploring Operation: 42/2=21, Resulting Numbers: [97, 21] Generated Node #3: [97, 21] from Operation: 42/2=21 Current State: 76:[97, 21], Operations: ['83-81=2', '42/2=21'] Exploring Operation: 97-21=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 14, 77, 4, 18 ]
93
[ "18-14=4", "4*4=16", "77+16=93" ]
Current State: 93:[14, 77, 4, 18], Operations: [] Exploring Operation: 18-14=4, Resulting Numbers: [77, 4, 4] Generated Node #2: [77, 4, 4] from Operation: 18-14=4 Current State: 93:[77, 4, 4], Operations: ['18-14=4'] Exploring Operation: 4*4=16, Resulting Numbers: [77, 16] Generated Node #3: [77, 16] from Operation: 4*4=16 Current State: 93:[77, 16], Operations: ['18-14=4', '4*4=16'] Exploring Operation: 77+16=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 71, 41, 66, 10 ]
86
[ "71-41=30", "66-10=56", "30+56=86" ]
Current State: 86:[71, 41, 66, 10], Operations: [] Exploring Operation: 71-41=30, Resulting Numbers: [66, 10, 30] Generated Node #2: [66, 10, 30] from Operation: 71-41=30 Current State: 86:[66, 10, 30], Operations: ['71-41=30'] Exploring Operation: 66-10=56, Resulting Numbers: [30, 56] Generated Node #3: [30, 56] from Operation: 66-10=56 Current State: 86:[30, 56], Operations: ['71-41=30', '66-10=56'] Exploring Operation: 30+56=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 19, 45, 66, 96 ]
34
[ "19+45=64", "96-66=30", "64-30=34" ]
Current State: 34:[19, 45, 66, 96], Operations: [] Exploring Operation: 19+45=64, Resulting Numbers: [66, 96, 64] Generated Node #2: [66, 96, 64] from Operation: 19+45=64 Current State: 34:[66, 96, 64], Operations: ['19+45=64'] Exploring Operation: 96-66=30, Resulting Numbers: [64, 30] Generated Node #3: [64, 30] from Operation: 96-66=30 Current State: 34:[64, 30], Operations: ['19+45=64', '96-66=30'] Exploring Operation: 64-30=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 43, 31, 24, 11 ]
24
[ "43-31=12", "12-11=1", "24*1=24" ]
Current State: 24:[43, 31, 24, 11], Operations: [] Exploring Operation: 43-31=12, Resulting Numbers: [24, 11, 12] Generated Node #2: [24, 11, 12] from Operation: 43-31=12 Current State: 24:[24, 11, 12], Operations: ['43-31=12'] Exploring Operation: 12-11=1, Resulting Numbers: [24, 1] Generated Node #3: [24, 1] from Operation: 12-11=1 Current State: 24:[24, 1], Operations: ['43-31=12', '12-11=1'] Exploring Operation: 24*1=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 51, 15, 87, 68 ]
47
[ "51+15=66", "87-68=19", "66-19=47" ]
Current State: 47:[51, 15, 87, 68], Operations: [] Exploring Operation: 51+15=66, Resulting Numbers: [87, 68, 66] Generated Node #2: [87, 68, 66] from Operation: 51+15=66 Current State: 47:[87, 68, 66], Operations: ['51+15=66'] Exploring Operation: 87-68=19, Resulting Numbers: [66, 19] Generated Node #3: [66, 19] from Operation: 87-68=19 Current State: 47:[66, 19], Operations: ['51+15=66', '87-68=19'] Exploring Operation: 66-19=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 27, 15, 33, 24 ]
35
[ "27-15=12", "24/12=2", "33+2=35" ]
Current State: 35:[27, 15, 33, 24], Operations: [] Exploring Operation: 27-15=12, Resulting Numbers: [33, 24, 12] Generated Node #2: [33, 24, 12] from Operation: 27-15=12 Current State: 35:[33, 24, 12], Operations: ['27-15=12'] Exploring Operation: 24/12=2, Resulting Numbers: [33, 2] Generated Node #3: [33, 2] from Operation: 24/12=2 Current State: 35:[33, 2], Operations: ['27-15=12', '24/12=2'] Exploring Operation: 33+2=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 98, 64, 18, 14 ]
49
[ "18+14=32", "98*32=3136", "3136/64=49" ]
Current State: 49:[98, 64, 18, 14], Operations: [] Exploring Operation: 18+14=32, Resulting Numbers: [98, 64, 32] Generated Node #2: [98, 64, 32] from Operation: 18+14=32 Current State: 49:[98, 64, 32], Operations: ['18+14=32'] Exploring Operation: 98*32=3136, Resulting Numbers: [64, 3136] Generated Node #3: [64, 3136] from Operation: 98*32=3136 Current State: 49:[64, 3136], Operations: ['18+14=32', '98*32=3136'] Exploring Operation: 3136/64=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 2, 34, 22, 35 ]
74
[ "34/2=17", "22+35=57", "17+57=74" ]
Current State: 74:[2, 34, 22, 35], Operations: [] Exploring Operation: 34/2=17, Resulting Numbers: [22, 35, 17] Generated Node #2: [22, 35, 17] from Operation: 34/2=17 Current State: 74:[22, 35, 17], Operations: ['34/2=17'] Exploring Operation: 22+35=57, Resulting Numbers: [17, 57] Generated Node #3: [17, 57] from Operation: 22+35=57 Current State: 74:[17, 57], Operations: ['34/2=17', '22+35=57'] Exploring Operation: 17+57=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 25, 96, 52, 2 ]
94
[ "25*2=50", "96-52=44", "50+44=94" ]
Current State: 94:[25, 96, 52, 2], Operations: [] Exploring Operation: 25*2=50, Resulting Numbers: [96, 52, 50] Generated Node #2: [96, 52, 50] from Operation: 25*2=50 Current State: 94:[96, 52, 50], Operations: ['25*2=50'] Exploring Operation: 96-52=44, Resulting Numbers: [50, 44] Generated Node #3: [50, 44] from Operation: 96-52=44 Current State: 94:[50, 44], Operations: ['25*2=50', '96-52=44'] Exploring Operation: 50+44=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 15, 7, 7, 86 ]
68
[ "15+7=22", "7*22=154", "154-86=68" ]
Current State: 68:[15, 7, 7, 86], Operations: [] Exploring Operation: 15+7=22, Resulting Numbers: [86, 22] Generated Node #2: [86, 22] from Operation: 15+7=22 Current State: 68:[86, 22], Operations: ['15+7=22'] Exploring Operation: 7*22=154, Resulting Numbers: [86, 154] Generated Node #3: [86, 154] from Operation: 7*22=154 Current State: 68:[86, 154], Operations: ['15+7=22', '7*22=154'] Exploring Operation: 154-86=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 74, 2, 57, 2 ]
34
[ "74*2=148", "57*2=114", "148-114=34" ]
Current State: 34:[74, 2, 57, 2], Operations: [] Exploring Operation: 74*2=148, Resulting Numbers: [57, 148] Generated Node #2: [57, 148] from Operation: 74*2=148 Current State: 34:[57, 148], Operations: ['74*2=148'] Exploring Operation: 57*2=114, Resulting Numbers: [148, 114] Generated Node #3: [148, 114] from Operation: 57*2=114 Current State: 34:[148, 114], Operations: ['74*2=148', '57*2=114'] Exploring Operation: 148-114=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 58, 22, 36, 37 ]
79
[ "58+22=80", "37-36=1", "80-1=79" ]
Current State: 79:[58, 22, 36, 37], Operations: [] Exploring Operation: 58+22=80, Resulting Numbers: [36, 37, 80] Generated Node #2: [36, 37, 80] from Operation: 58+22=80 Current State: 79:[36, 37, 80], Operations: ['58+22=80'] Exploring Operation: 37-36=1, Resulting Numbers: [80, 1] Generated Node #3: [80, 1] from Operation: 37-36=1 Current State: 79:[80, 1], Operations: ['58+22=80', '37-36=1'] Exploring Operation: 80-1=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 11, 25, 99, 26 ]
16
[ "99+26=125", "125/25=5", "11+5=16" ]
Current State: 16:[11, 25, 99, 26], Operations: [] Exploring Operation: 99+26=125, Resulting Numbers: [11, 25, 125] Generated Node #2: [11, 25, 125] from Operation: 99+26=125 Current State: 16:[11, 25, 125], Operations: ['99+26=125'] Exploring Operation: 125/25=5, Resulting Numbers: [11, 5] Generated Node #3: [11, 5] from Operation: 125/25=5 Current State: 16:[11, 5], Operations: ['99+26=125', '125/25=5'] Exploring Operation: 11+5=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 40, 36, 17, 16 ]
13
[ "40-36=4", "16/4=4", "17-4=13" ]
Current State: 13:[40, 36, 17, 16], Operations: [] Exploring Operation: 40-36=4, Resulting Numbers: [17, 16, 4] Generated Node #2: [17, 16, 4] from Operation: 40-36=4 Current State: 13:[17, 16, 4], Operations: ['40-36=4'] Exploring Operation: 16/4=4, Resulting Numbers: [17, 4] Generated Node #3: [17, 4] from Operation: 16/4=4 Current State: 13:[17, 4], Operations: ['40-36=4', '16/4=4'] Exploring Operation: 17-4=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 64, 61, 68, 12 ]
59
[ "64-61=3", "68-12=56", "3+56=59" ]
Current State: 59:[64, 61, 68, 12], Operations: [] Exploring Operation: 64-61=3, Resulting Numbers: [68, 12, 3] Generated Node #2: [68, 12, 3] from Operation: 64-61=3 Current State: 59:[68, 12, 3], Operations: ['64-61=3'] Exploring Operation: 68-12=56, Resulting Numbers: [3, 56] Generated Node #3: [3, 56] from Operation: 68-12=56 Current State: 59:[3, 56], Operations: ['64-61=3', '68-12=56'] Exploring Operation: 3+56=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 44, 28, 46, 36 ]
70
[ "44+46=90", "28*90=2520", "2520/36=70" ]
Current State: 70:[44, 28, 46, 36], Operations: [] Exploring Operation: 44+46=90, Resulting Numbers: [28, 36, 90] Generated Node #2: [28, 36, 90] from Operation: 44+46=90 Current State: 70:[28, 36, 90], Operations: ['44+46=90'] Exploring Operation: 28*90=2520, Resulting Numbers: [36, 2520] Generated Node #3: [36, 2520] from Operation: 28*90=2520 Current State: 70:[36, 2520], Operations: ['44+46=90', '28*90=2520'] Exploring Operation: 2520/36=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 81, 2, 18, 91 ]
82
[ "81*2=162", "162/18=9", "91-9=82" ]
Current State: 82:[81, 2, 18, 91], Operations: [] Exploring Operation: 81*2=162, Resulting Numbers: [18, 91, 162] Generated Node #2: [18, 91, 162] from Operation: 81*2=162 Current State: 82:[18, 91, 162], Operations: ['81*2=162'] Exploring Operation: 162/18=9, Resulting Numbers: [91, 9] Generated Node #3: [91, 9] from Operation: 162/18=9 Current State: 82:[91, 9], Operations: ['81*2=162', '162/18=9'] Exploring Operation: 91-9=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 48, 45, 25, 57 ]
20
[ "57-48=9", "45/9=5", "25-5=20" ]
Current State: 20:[48, 45, 25, 57], Operations: [] Exploring Operation: 57-48=9, Resulting Numbers: [45, 25, 9] Generated Node #2: [45, 25, 9] from Operation: 57-48=9 Current State: 20:[45, 25, 9], Operations: ['57-48=9'] Exploring Operation: 45/9=5, Resulting Numbers: [25, 5] Generated Node #3: [25, 5] from Operation: 45/9=5 Current State: 20:[25, 5], Operations: ['57-48=9', '45/9=5'] Exploring Operation: 25-5=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 12, 67, 8, 68 ]
96
[ "12*8=96", "68-67=1", "96*1=96" ]
Current State: 96:[12, 67, 8, 68], Operations: [] Exploring Operation: 12*8=96, Resulting Numbers: [67, 68, 96] Generated Node #2: [67, 68, 96] from Operation: 12*8=96 Current State: 96:[67, 68, 96], Operations: ['12*8=96'] Exploring Operation: 68-67=1, Resulting Numbers: [96, 1] Generated Node #3: [96, 1] from Operation: 68-67=1 Current State: 96:[96, 1], Operations: ['12*8=96', '68-67=1'] Exploring Operation: 96*1=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 5, 56, 63, 82 ]
41
[ "5+56=61", "63-61=2", "82/2=41" ]
Current State: 41:[5, 56, 63, 82], Operations: [] Exploring Operation: 5+56=61, Resulting Numbers: [63, 82, 61] Generated Node #2: [63, 82, 61] from Operation: 5+56=61 Current State: 41:[63, 82, 61], Operations: ['5+56=61'] Exploring Operation: 63-61=2, Resulting Numbers: [82, 2] Generated Node #3: [82, 2] from Operation: 63-61=2 Current State: 41:[82, 2], Operations: ['5+56=61', '63-61=2'] Exploring Operation: 82/2=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 21, 92, 47, 44 ]
74
[ "92-21=71", "47-44=3", "71+3=74" ]
Current State: 74:[21, 92, 47, 44], Operations: [] Exploring Operation: 92-21=71, Resulting Numbers: [47, 44, 71] Generated Node #2: [47, 44, 71] from Operation: 92-21=71 Current State: 74:[47, 44, 71], Operations: ['92-21=71'] Exploring Operation: 47-44=3, Resulting Numbers: [71, 3] Generated Node #3: [71, 3] from Operation: 47-44=3 Current State: 74:[71, 3], Operations: ['92-21=71', '47-44=3'] Exploring Operation: 71+3=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 21, 37, 18, 65 ]
34
[ "21-18=3", "37+65=102", "102/3=34" ]
Current State: 34:[21, 37, 18, 65], Operations: [] Exploring Operation: 21-18=3, Resulting Numbers: [37, 65, 3] Generated Node #2: [37, 65, 3] from Operation: 21-18=3 Current State: 34:[37, 65, 3], Operations: ['21-18=3'] Exploring Operation: 37+65=102, Resulting Numbers: [3, 102] Generated Node #3: [3, 102] from Operation: 37+65=102 Current State: 34:[3, 102], Operations: ['21-18=3', '37+65=102'] Exploring Operation: 102/3=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 3, 64, 21, 78 ]
97
[ "21+78=99", "99/3=33", "64+33=97" ]
Current State: 97:[3, 64, 21, 78], Operations: [] Exploring Operation: 21+78=99, Resulting Numbers: [3, 64, 99] Generated Node #2: [3, 64, 99] from Operation: 21+78=99 Current State: 97:[3, 64, 99], Operations: ['21+78=99'] Exploring Operation: 99/3=33, Resulting Numbers: [64, 33] Generated Node #3: [64, 33] from Operation: 99/3=33 Current State: 97:[64, 33], Operations: ['21+78=99', '99/3=33'] Exploring Operation: 64+33=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 8, 10, 48, 52 ]
84
[ "8*10=80", "52-48=4", "80+4=84" ]
Current State: 84:[8, 10, 48, 52], Operations: [] Exploring Operation: 8*10=80, Resulting Numbers: [48, 52, 80] Generated Node #2: [48, 52, 80] from Operation: 8*10=80 Current State: 84:[48, 52, 80], Operations: ['8*10=80'] Exploring Operation: 52-48=4, Resulting Numbers: [80, 4] Generated Node #3: [80, 4] from Operation: 52-48=4 Current State: 84:[80, 4], Operations: ['8*10=80', '52-48=4'] Exploring Operation: 80+4=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 31, 64, 81, 84 ]
29
[ "84-81=3", "31*3=93", "93-64=29" ]
Current State: 29:[31, 64, 81, 84], Operations: [] Exploring Operation: 84-81=3, Resulting Numbers: [31, 64, 3] Generated Node #2: [31, 64, 3] from Operation: 84-81=3 Current State: 29:[31, 64, 3], Operations: ['84-81=3'] Exploring Operation: 31*3=93, Resulting Numbers: [64, 93] Generated Node #3: [64, 93] from Operation: 31*3=93 Current State: 29:[64, 93], Operations: ['84-81=3', '31*3=93'] Exploring Operation: 93-64=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 34, 32, 46, 23 ]
43
[ "34+32=66", "46-23=23", "66-23=43" ]
Current State: 43:[34, 32, 46, 23], Operations: [] Exploring Operation: 34+32=66, Resulting Numbers: [46, 23, 66] Generated Node #2: [46, 23, 66] from Operation: 34+32=66 Current State: 43:[46, 23, 66], Operations: ['34+32=66'] Exploring Operation: 46-23=23, Resulting Numbers: [66, 23] Generated Node #3: [66, 23] from Operation: 46-23=23 Current State: 43:[66, 23], Operations: ['34+32=66', '46-23=23'] Exploring Operation: 66-23=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 92, 23, 56, 27 ]
78
[ "27-23=4", "56/4=14", "92-14=78" ]
Current State: 78:[92, 23, 56, 27], Operations: [] Exploring Operation: 27-23=4, Resulting Numbers: [92, 56, 4] Generated Node #2: [92, 56, 4] from Operation: 27-23=4 Current State: 78:[92, 56, 4], Operations: ['27-23=4'] Exploring Operation: 56/4=14, Resulting Numbers: [92, 14] Generated Node #3: [92, 14] from Operation: 56/4=14 Current State: 78:[92, 14], Operations: ['27-23=4', '56/4=14'] Exploring Operation: 92-14=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 74, 70, 33, 90 ]
45
[ "70-33=37", "74/37=2", "90/2=45" ]
Current State: 45:[74, 70, 33, 90], Operations: [] Exploring Operation: 70-33=37, Resulting Numbers: [74, 90, 37] Generated Node #2: [74, 90, 37] from Operation: 70-33=37 Current State: 45:[74, 90, 37], Operations: ['70-33=37'] Exploring Operation: 74/37=2, Resulting Numbers: [90, 2] Generated Node #3: [90, 2] from Operation: 74/37=2 Current State: 45:[90, 2], Operations: ['70-33=37', '74/37=2'] Exploring Operation: 90/2=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 74, 42, 75, 16 ]
77
[ "74-42=32", "32/16=2", "75+2=77" ]
Current State: 77:[74, 42, 75, 16], Operations: [] Exploring Operation: 74-42=32, Resulting Numbers: [75, 16, 32] Generated Node #2: [75, 16, 32] from Operation: 74-42=32 Current State: 77:[75, 16, 32], Operations: ['74-42=32'] Exploring Operation: 32/16=2, Resulting Numbers: [75, 2] Generated Node #3: [75, 2] from Operation: 32/16=2 Current State: 77:[75, 2], Operations: ['74-42=32', '32/16=2'] Exploring Operation: 75+2=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 29, 43, 88, 11 ]
27
[ "29+43=72", "88+11=99", "99-72=27" ]
Current State: 27:[29, 43, 88, 11], Operations: [] Exploring Operation: 29+43=72, Resulting Numbers: [88, 11, 72] Generated Node #2: [88, 11, 72] from Operation: 29+43=72 Current State: 27:[88, 11, 72], Operations: ['29+43=72'] Exploring Operation: 88+11=99, Resulting Numbers: [72, 99] Generated Node #3: [72, 99] from Operation: 88+11=99 Current State: 27:[72, 99], Operations: ['29+43=72', '88+11=99'] Exploring Operation: 99-72=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 41, 69, 4, 13 ]
19
[ "69-41=28", "13-4=9", "28-9=19" ]
Current State: 19:[41, 69, 4, 13], Operations: [] Exploring Operation: 69-41=28, Resulting Numbers: [4, 13, 28] Generated Node #2: [4, 13, 28] from Operation: 69-41=28 Current State: 19:[4, 13, 28], Operations: ['69-41=28'] Exploring Operation: 13-4=9, Resulting Numbers: [28, 9] Generated Node #3: [28, 9] from Operation: 13-4=9 Current State: 19:[28, 9], Operations: ['69-41=28', '13-4=9'] Exploring Operation: 28-9=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 1, 59, 26, 8 ]
42
[ "1+59=60", "26-8=18", "60-18=42" ]
Current State: 42:[1, 59, 26, 8], Operations: [] Exploring Operation: 1+59=60, Resulting Numbers: [26, 8, 60] Generated Node #2: [26, 8, 60] from Operation: 1+59=60 Current State: 42:[26, 8, 60], Operations: ['1+59=60'] Exploring Operation: 26-8=18, Resulting Numbers: [60, 18] Generated Node #3: [60, 18] from Operation: 26-8=18 Current State: 42:[60, 18], Operations: ['1+59=60', '26-8=18'] Exploring Operation: 60-18=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 44, 12, 76, 41 ]
19
[ "44-41=3", "12/3=4", "76/4=19" ]
Current State: 19:[44, 12, 76, 41], Operations: [] Exploring Operation: 44-41=3, Resulting Numbers: [12, 76, 3] Generated Node #2: [12, 76, 3] from Operation: 44-41=3 Current State: 19:[12, 76, 3], Operations: ['44-41=3'] Exploring Operation: 12/3=4, Resulting Numbers: [76, 4] Generated Node #3: [76, 4] from Operation: 12/3=4 Current State: 19:[76, 4], Operations: ['44-41=3', '12/3=4'] Exploring Operation: 76/4=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 12, 86, 40, 37 ]
80
[ "86-12=74", "40*74=2960", "2960/37=80" ]
Current State: 80:[12, 86, 40, 37], Operations: [] Exploring Operation: 86-12=74, Resulting Numbers: [40, 37, 74] Generated Node #2: [40, 37, 74] from Operation: 86-12=74 Current State: 80:[40, 37, 74], Operations: ['86-12=74'] Exploring Operation: 40*74=2960, Resulting Numbers: [37, 2960] Generated Node #3: [37, 2960] from Operation: 40*74=2960 Current State: 80:[37, 2960], Operations: ['86-12=74', '40*74=2960'] Exploring Operation: 2960/37=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 38, 20, 55, 72 ]
75
[ "38+20=58", "72-55=17", "58+17=75" ]
Current State: 75:[38, 20, 55, 72], Operations: [] Exploring Operation: 38+20=58, Resulting Numbers: [55, 72, 58] Generated Node #2: [55, 72, 58] from Operation: 38+20=58 Current State: 75:[55, 72, 58], Operations: ['38+20=58'] Exploring Operation: 72-55=17, Resulting Numbers: [58, 17] Generated Node #3: [58, 17] from Operation: 72-55=17 Current State: 75:[58, 17], Operations: ['38+20=58', '72-55=17'] Exploring Operation: 58+17=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 45, 34, 11, 60 ]
61
[ "45-34=11", "11*11=121", "121-60=61" ]
Current State: 61:[45, 34, 11, 60], Operations: [] Exploring Operation: 45-34=11, Resulting Numbers: [11, 60, 11] Generated Node #2: [11, 60, 11] from Operation: 45-34=11 Current State: 61:[11, 60, 11], Operations: ['45-34=11'] Exploring Operation: 11*11=121, Resulting Numbers: [60, 121] Generated Node #3: [60, 121] from Operation: 11*11=121 Current State: 61:[60, 121], Operations: ['45-34=11', '11*11=121'] Exploring Operation: 121-60=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 78, 67, 29, 98 ]
80
[ "78-67=11", "98-29=69", "11+69=80" ]
Current State: 80:[78, 67, 29, 98], Operations: [] Exploring Operation: 78-67=11, Resulting Numbers: [29, 98, 11] Generated Node #2: [29, 98, 11] from Operation: 78-67=11 Current State: 80:[29, 98, 11], Operations: ['78-67=11'] Exploring Operation: 98-29=69, Resulting Numbers: [11, 69] Generated Node #3: [11, 69] from Operation: 98-29=69 Current State: 80:[11, 69], Operations: ['78-67=11', '98-29=69'] Exploring Operation: 11+69=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 74, 50, 24, 20 ]
68
[ "74-50=24", "24+20=44", "24+44=68" ]
Current State: 68:[74, 50, 24, 20], Operations: [] Exploring Operation: 74-50=24, Resulting Numbers: [24, 20, 24] Generated Node #2: [24, 20, 24] from Operation: 74-50=24 Current State: 68:[24, 20, 24], Operations: ['74-50=24'] Exploring Operation: 24+20=44, Resulting Numbers: [44] 44,68 equal: Goal Reached Exploring Operation: 24+44=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 90, 34, 93, 58 ]
90
[ "93-34=59", "59-58=1", "90*1=90" ]
Current State: 90:[90, 34, 93, 58], Operations: [] Exploring Operation: 93-34=59, Resulting Numbers: [90, 58, 59] Generated Node #2: [90, 58, 59] from Operation: 93-34=59 Current State: 90:[90, 58, 59], Operations: ['93-34=59'] Exploring Operation: 59-58=1, Resulting Numbers: [90, 1] Generated Node #3: [90, 1] from Operation: 59-58=1 Current State: 90:[90, 1], Operations: ['93-34=59', '59-58=1'] Exploring Operation: 90*1=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 56, 5, 60, 44 ]
35
[ "56-5=51", "60-44=16", "51-16=35" ]
Current State: 35:[56, 5, 60, 44], Operations: [] Exploring Operation: 56-5=51, Resulting Numbers: [60, 44, 51] Generated Node #2: [60, 44, 51] from Operation: 56-5=51 Current State: 35:[60, 44, 51], Operations: ['56-5=51'] Exploring Operation: 60-44=16, Resulting Numbers: [51, 16] Generated Node #3: [51, 16] from Operation: 60-44=16 Current State: 35:[51, 16], Operations: ['56-5=51', '60-44=16'] Exploring Operation: 51-16=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 17, 98, 58, 48 ]
14
[ "58-17=41", "48-41=7", "98/7=14" ]
Current State: 14:[17, 98, 58, 48], Operations: [] Exploring Operation: 58-17=41, Resulting Numbers: [98, 48, 41] Generated Node #2: [98, 48, 41] from Operation: 58-17=41 Current State: 14:[98, 48, 41], Operations: ['58-17=41'] Exploring Operation: 48-41=7, Resulting Numbers: [98, 7] Generated Node #3: [98, 7] from Operation: 48-41=7 Current State: 14:[98, 7], Operations: ['58-17=41', '48-41=7'] Exploring Operation: 98/7=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 11, 10, 49, 77 ]
27
[ "11-10=1", "77-49=28", "28-1=27" ]
Current State: 27:[11, 10, 49, 77], Operations: [] Exploring Operation: 11-10=1, Resulting Numbers: [49, 77, 1] Generated Node #2: [49, 77, 1] from Operation: 11-10=1 Current State: 27:[49, 77, 1], Operations: ['11-10=1'] Exploring Operation: 77-49=28, Resulting Numbers: [1, 28] Generated Node #3: [1, 28] from Operation: 77-49=28 Current State: 27:[1, 28], Operations: ['11-10=1', '77-49=28'] Exploring Operation: 28-1=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 37, 10, 98, 60 ]
55
[ "98-37=61", "60/10=6", "61-6=55" ]
Current State: 55:[37, 10, 98, 60], Operations: [] Exploring Operation: 98-37=61, Resulting Numbers: [10, 60, 61] Generated Node #2: [10, 60, 61] from Operation: 98-37=61 Current State: 55:[10, 60, 61], Operations: ['98-37=61'] Exploring Operation: 60/10=6, Resulting Numbers: [61, 6] Generated Node #3: [61, 6] from Operation: 60/10=6 Current State: 55:[61, 6], Operations: ['98-37=61', '60/10=6'] Exploring Operation: 61-6=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 52, 43, 94, 97 ]
77
[ "97-94=3", "43*3=129", "129-52=77" ]
Current State: 77:[52, 43, 94, 97], Operations: [] Exploring Operation: 97-94=3, Resulting Numbers: [52, 43, 3] Generated Node #2: [52, 43, 3] from Operation: 97-94=3 Current State: 77:[52, 43, 3], Operations: ['97-94=3'] Exploring Operation: 43*3=129, Resulting Numbers: [52, 129] Generated Node #3: [52, 129] from Operation: 43*3=129 Current State: 77:[52, 129], Operations: ['97-94=3', '43*3=129'] Exploring Operation: 129-52=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 83, 61, 7, 65 ]
94
[ "83-61=22", "7+65=72", "22+72=94" ]
Current State: 94:[83, 61, 7, 65], Operations: [] Exploring Operation: 83-61=22, Resulting Numbers: [7, 65, 22] Generated Node #2: [7, 65, 22] from Operation: 83-61=22 Current State: 94:[7, 65, 22], Operations: ['83-61=22'] Exploring Operation: 7+65=72, Resulting Numbers: [22, 72] Generated Node #3: [22, 72] from Operation: 7+65=72 Current State: 94:[22, 72], Operations: ['83-61=22', '7+65=72'] Exploring Operation: 22+72=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 93, 97, 91, 60 ]
76
[ "97-93=4", "60/4=15", "91-15=76" ]
Current State: 76:[93, 97, 91, 60], Operations: [] Exploring Operation: 97-93=4, Resulting Numbers: [91, 60, 4] Generated Node #2: [91, 60, 4] from Operation: 97-93=4 Current State: 76:[91, 60, 4], Operations: ['97-93=4'] Exploring Operation: 60/4=15, Resulting Numbers: [91, 15] Generated Node #3: [91, 15] from Operation: 60/4=15 Current State: 76:[91, 15], Operations: ['97-93=4', '60/4=15'] Exploring Operation: 91-15=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 1, 93, 2, 42 ]
88
[ "93-1=92", "92/2=46", "42+46=88" ]
Current State: 88:[1, 93, 2, 42], Operations: [] Exploring Operation: 93-1=92, Resulting Numbers: [2, 42, 92] Generated Node #2: [2, 42, 92] from Operation: 93-1=92 Current State: 88:[2, 42, 92], Operations: ['93-1=92'] Exploring Operation: 92/2=46, Resulting Numbers: [42, 46] Generated Node #3: [42, 46] from Operation: 92/2=46 Current State: 88:[42, 46], Operations: ['93-1=92', '92/2=46'] Exploring Operation: 42+46=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 92, 75, 62, 94 ]
72
[ "92+94=186", "186/62=3", "75-3=72" ]
Current State: 72:[92, 75, 62, 94], Operations: [] Exploring Operation: 92+94=186, Resulting Numbers: [75, 62, 186] Generated Node #2: [75, 62, 186] from Operation: 92+94=186 Current State: 72:[75, 62, 186], Operations: ['92+94=186'] Exploring Operation: 186/62=3, Resulting Numbers: [75, 3] Generated Node #3: [75, 3] from Operation: 186/62=3 Current State: 72:[75, 3], Operations: ['92+94=186', '186/62=3'] Exploring Operation: 75-3=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 61, 6, 53, 32 ]
88
[ "61+6=67", "53-32=21", "67+21=88" ]
Current State: 88:[61, 6, 53, 32], Operations: [] Exploring Operation: 61+6=67, Resulting Numbers: [53, 32, 67] Generated Node #2: [53, 32, 67] from Operation: 61+6=67 Current State: 88:[53, 32, 67], Operations: ['61+6=67'] Exploring Operation: 53-32=21, Resulting Numbers: [67, 21] Generated Node #3: [67, 21] from Operation: 53-32=21 Current State: 88:[67, 21], Operations: ['61+6=67', '53-32=21'] Exploring Operation: 67+21=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 11, 2, 64, 61 ]
55
[ "2+64=66", "66/11=6", "61-6=55" ]
Current State: 55:[11, 2, 64, 61], Operations: [] Exploring Operation: 2+64=66, Resulting Numbers: [11, 61, 66] Generated Node #2: [11, 61, 66] from Operation: 2+64=66 Current State: 55:[11, 61, 66], Operations: ['2+64=66'] Exploring Operation: 66/11=6, Resulting Numbers: [61, 6] Generated Node #3: [61, 6] from Operation: 66/11=6 Current State: 55:[61, 6], Operations: ['2+64=66', '66/11=6'] Exploring Operation: 61-6=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 99, 35, 9, 26 ]
72
[ "99/9=11", "35+26=61", "11+61=72" ]
Current State: 72:[99, 35, 9, 26], Operations: [] Exploring Operation: 99/9=11, Resulting Numbers: [35, 26, 11] Generated Node #2: [35, 26, 11] from Operation: 99/9=11 Current State: 72:[35, 26, 11], Operations: ['99/9=11'] Exploring Operation: 35+26=61, Resulting Numbers: [11, 61] Generated Node #3: [11, 61] from Operation: 35+26=61 Current State: 72:[11, 61], Operations: ['99/9=11', '35+26=61'] Exploring Operation: 11+61=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 41, 10, 97, 19 ]
85
[ "41-10=31", "97+19=116", "116-31=85" ]
Current State: 85:[41, 10, 97, 19], Operations: [] Exploring Operation: 41-10=31, Resulting Numbers: [97, 19, 31] Generated Node #2: [97, 19, 31] from Operation: 41-10=31 Current State: 85:[97, 19, 31], Operations: ['41-10=31'] Exploring Operation: 97+19=116, Resulting Numbers: [31, 116] Generated Node #3: [31, 116] from Operation: 97+19=116 Current State: 85:[31, 116], Operations: ['41-10=31', '97+19=116'] Exploring Operation: 116-31=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4