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
[ 61, 5, 84, 87 ]
22
[ "61+5=66", "87-84=3", "66/3=22" ]
Current State: 22:[61, 5, 84, 87], Operations: [] Exploring Operation: 61+5=66, Resulting Numbers: [84, 87, 66] Generated Node #2: [84, 87, 66] from Operation: 61+5=66 Current State: 22:[84, 87, 66], Operations: ['61+5=66'] Exploring Operation: 87-84=3, Resulting Numbers: [66, 3] Generated Node #3: [66, 3] from Operation: 87-84=3 Current State: 22:[66, 3], Operations: ['61+5=66', '87-84=3'] Exploring Operation: 66/3=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 42, 8, 82, 25 ]
73
[ "42-8=34", "82+25=107", "107-34=73" ]
Current State: 73:[42, 8, 82, 25], Operations: [] Exploring Operation: 42-8=34, Resulting Numbers: [82, 25, 34] Generated Node #2: [82, 25, 34] from Operation: 42-8=34 Current State: 73:[82, 25, 34], Operations: ['42-8=34'] Exploring Operation: 82+25=107, Resulting Numbers: [34, 107] Generated Node #3: [34, 107] from Operation: 82+25=107 Current State: 73:[34, 107], Operations: ['42-8=34', '82+25=107'] Exploring Operation: 107-34=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 36, 80, 45, 44 ]
45
[ "80-36=44", "45+44=89", "89-44=45" ]
Current State: 45:[36, 80, 45, 44], Operations: [] Exploring Operation: 80-36=44, Resulting Numbers: [45, 44, 44] Generated Node #2: [45, 44, 44] from Operation: 80-36=44 Current State: 45:[45, 44, 44], Operations: ['80-36=44'] Exploring Operation: 45+44=89, Resulting Numbers: [89] 89,45 equal: Goal Reached Exploring Operation: 89-44=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 2, 99, 22, 64 ]
73
[ "2*99=198", "198/22=9", "64+9=73" ]
Current State: 73:[2, 99, 22, 64], Operations: [] Exploring Operation: 2*99=198, Resulting Numbers: [22, 64, 198] Generated Node #2: [22, 64, 198] from Operation: 2*99=198 Current State: 73:[22, 64, 198], Operations: ['2*99=198'] Exploring Operation: 198/22=9, Resulting Numbers: [64, 9] Generated Node #3: [64, 9] from Operation: 198/22=9 Current State: 73:[64, 9], Operations: ['2*99=198', '198/22=9'] Exploring Operation: 64+9=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 46, 29, 83, 58 ]
42
[ "46-29=17", "83-58=25", "17+25=42" ]
Current State: 42:[46, 29, 83, 58], Operations: [] Exploring Operation: 46-29=17, Resulting Numbers: [83, 58, 17] Generated Node #2: [83, 58, 17] from Operation: 46-29=17 Current State: 42:[83, 58, 17], Operations: ['46-29=17'] Exploring Operation: 83-58=25, Resulting Numbers: [17, 25] Generated Node #3: [17, 25] from Operation: 83-58=25 Current State: 42:[17, 25], Operations: ['46-29=17', '83-58=25'] Exploring Operation: 17+25=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 32, 97, 52, 90 ]
91
[ "32+97=129", "90-52=38", "129-38=91" ]
Current State: 91:[32, 97, 52, 90], Operations: [] Exploring Operation: 32+97=129, Resulting Numbers: [52, 90, 129] Generated Node #2: [52, 90, 129] from Operation: 32+97=129 Current State: 91:[52, 90, 129], Operations: ['32+97=129'] Exploring Operation: 90-52=38, Resulting Numbers: [129, 38] Generated Node #3: [129, 38] from Operation: 90-52=38 Current State: 91:[129, 38], Operations: ['32+97=129', '90-52=38'] Exploring Operation: 129-38=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 54, 49, 90, 35 ]
49
[ "90-54=36", "36-35=1", "49*1=49" ]
Current State: 49:[54, 49, 90, 35], Operations: [] Exploring Operation: 90-54=36, Resulting Numbers: [49, 35, 36] Generated Node #2: [49, 35, 36] from Operation: 90-54=36 Current State: 49:[49, 35, 36], Operations: ['90-54=36'] Exploring Operation: 36-35=1, Resulting Numbers: [49, 1] Generated Node #3: [49, 1] from Operation: 36-35=1 Current State: 49:[49, 1], Operations: ['90-54=36', '36-35=1'] Exploring Operation: 49*1=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 71, 51, 39, 30 ]
68
[ "51+39=90", "90/30=3", "71-3=68" ]
Current State: 68:[71, 51, 39, 30], Operations: [] Exploring Operation: 51+39=90, Resulting Numbers: [71, 30, 90] Generated Node #2: [71, 30, 90] from Operation: 51+39=90 Current State: 68:[71, 30, 90], Operations: ['51+39=90'] Exploring Operation: 90/30=3, Resulting Numbers: [71, 3] Generated Node #3: [71, 3] from Operation: 90/30=3 Current State: 68:[71, 3], Operations: ['51+39=90', '90/30=3'] Exploring Operation: 71-3=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 33, 64, 19, 2 ]
71
[ "33-19=14", "14/2=7", "64+7=71" ]
Current State: 71:[33, 64, 19, 2], Operations: [] Exploring Operation: 33-19=14, Resulting Numbers: [64, 2, 14] Generated Node #2: [64, 2, 14] from Operation: 33-19=14 Current State: 71:[64, 2, 14], Operations: ['33-19=14'] Exploring Operation: 14/2=7, Resulting Numbers: [64, 7] Generated Node #3: [64, 7] from Operation: 14/2=7 Current State: 71:[64, 7], Operations: ['33-19=14', '14/2=7'] Exploring Operation: 64+7=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 68, 76, 46, 90 ]
52
[ "76-68=8", "90-46=44", "8+44=52" ]
Current State: 52:[68, 76, 46, 90], Operations: [] Exploring Operation: 76-68=8, Resulting Numbers: [46, 90, 8] Generated Node #2: [46, 90, 8] from Operation: 76-68=8 Current State: 52:[46, 90, 8], Operations: ['76-68=8'] Exploring Operation: 90-46=44, Resulting Numbers: [8, 44] Generated Node #3: [8, 44] from Operation: 90-46=44 Current State: 52:[8, 44], Operations: ['76-68=8', '90-46=44'] Exploring Operation: 8+44=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 49, 28, 8, 20 ]
49
[ "49+28=77", "8+20=28", "77-28=49" ]
Current State: 49:[49, 28, 8, 20], Operations: [] Exploring Operation: 49+28=77, Resulting Numbers: [8, 20, 77] Generated Node #2: [8, 20, 77] from Operation: 49+28=77 Current State: 49:[8, 20, 77], Operations: ['49+28=77'] Exploring Operation: 8+20=28, Resulting Numbers: [77, 28] Generated Node #3: [77, 28] from Operation: 8+20=28 Current State: 49:[77, 28], Operations: ['49+28=77', '8+20=28'] Exploring Operation: 77-28=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 36, 4, 19, 2 ]
82
[ "4+19=23", "2*23=46", "36+46=82" ]
Current State: 82:[36, 4, 19, 2], Operations: [] Exploring Operation: 4+19=23, Resulting Numbers: [36, 2, 23] Generated Node #2: [36, 2, 23] from Operation: 4+19=23 Current State: 82:[36, 2, 23], Operations: ['4+19=23'] Exploring Operation: 2*23=46, Resulting Numbers: [36, 46] Generated Node #3: [36, 46] from Operation: 2*23=46 Current State: 82:[36, 46], Operations: ['4+19=23', '2*23=46'] Exploring Operation: 36+46=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 32, 64, 16, 33 ]
61
[ "32+33=65", "64/16=4", "65-4=61" ]
Current State: 61:[32, 64, 16, 33], Operations: [] Exploring Operation: 32+33=65, Resulting Numbers: [64, 16, 65] Generated Node #2: [64, 16, 65] from Operation: 32+33=65 Current State: 61:[64, 16, 65], Operations: ['32+33=65'] Exploring Operation: 64/16=4, Resulting Numbers: [65, 4] Generated Node #3: [65, 4] from Operation: 64/16=4 Current State: 61:[65, 4], Operations: ['32+33=65', '64/16=4'] Exploring Operation: 65-4=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 70, 92, 52, 52 ]
82
[ "92-70=22", "52+52=104", "104-22=82" ]
Current State: 82:[70, 92, 52, 52], Operations: [] Exploring Operation: 92-70=22, Resulting Numbers: [52, 52, 22] Generated Node #2: [52, 52, 22] from Operation: 92-70=22 Current State: 82:[52, 52, 22], Operations: ['92-70=22'] Exploring Operation: 52+52=104, Resulting Numbers: [22, 104] Generated Node #3: [22, 104] from Operation: 52+52=104 Current State: 82:[22, 104], Operations: ['92-70=22', '52+52=104'] Exploring Operation: 104-22=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 30, 89, 10, 42 ]
27
[ "89-30=59", "42-10=32", "59-32=27" ]
Current State: 27:[30, 89, 10, 42], Operations: [] Exploring Operation: 89-30=59, Resulting Numbers: [10, 42, 59] Generated Node #2: [10, 42, 59] from Operation: 89-30=59 Current State: 27:[10, 42, 59], Operations: ['89-30=59'] Exploring Operation: 42-10=32, Resulting Numbers: [59, 32] Generated Node #3: [59, 32] from Operation: 42-10=32 Current State: 27:[59, 32], Operations: ['89-30=59', '42-10=32'] Exploring Operation: 59-32=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 32, 63, 29, 2 ]
76
[ "32/2=16", "63+29=92", "92-16=76" ]
Current State: 76:[32, 63, 29, 2], Operations: [] Exploring Operation: 32/2=16, Resulting Numbers: [63, 29, 16] Generated Node #2: [63, 29, 16] from Operation: 32/2=16 Current State: 76:[63, 29, 16], Operations: ['32/2=16'] Exploring Operation: 63+29=92, Resulting Numbers: [16, 92] Generated Node #3: [16, 92] from Operation: 63+29=92 Current State: 76:[16, 92], Operations: ['32/2=16', '63+29=92'] Exploring Operation: 92-16=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 73, 46, 1, 96 ]
23
[ "73+46=119", "1*96=96", "119-96=23" ]
Current State: 23:[73, 46, 1, 96], Operations: [] Exploring Operation: 73+46=119, Resulting Numbers: [1, 96, 119] Generated Node #2: [1, 96, 119] from Operation: 73+46=119 Current State: 23:[1, 96, 119], Operations: ['73+46=119'] Exploring Operation: 1*96=96, Resulting Numbers: [119, 96] Generated Node #3: [119, 96] from Operation: 1*96=96 Current State: 23:[119, 96], Operations: ['73+46=119', '1*96=96'] Exploring Operation: 119-96=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 88, 93, 99, 2 ]
80
[ "88+93=181", "99+2=101", "181-101=80" ]
Current State: 80:[88, 93, 99, 2], Operations: [] Exploring Operation: 88+93=181, Resulting Numbers: [99, 2, 181] Generated Node #2: [99, 2, 181] from Operation: 88+93=181 Current State: 80:[99, 2, 181], Operations: ['88+93=181'] Exploring Operation: 99+2=101, Resulting Numbers: [181, 101] Generated Node #3: [181, 101] from Operation: 99+2=101 Current State: 80:[181, 101], Operations: ['88+93=181', '99+2=101'] Exploring Operation: 181-101=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 38, 93, 38, 31 ]
48
[ "93-38=55", "38-31=7", "55-7=48" ]
Current State: 48:[38, 93, 38, 31], Operations: [] Exploring Operation: 93-38=55, Resulting Numbers: [31, 55] Generated Node #2: [31, 55] from Operation: 93-38=55 Current State: 48:[31, 55], Operations: ['93-38=55'] Exploring Operation: 38-31=7, Resulting Numbers: [55, 7] Generated Node #3: [55, 7] from Operation: 38-31=7 Current State: 48:[55, 7], Operations: ['93-38=55', '38-31=7'] Exploring Operation: 55-7=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 13, 75, 23, 77 ]
49
[ "77-75=2", "13*2=26", "23+26=49" ]
Current State: 49:[13, 75, 23, 77], Operations: [] Exploring Operation: 77-75=2, Resulting Numbers: [13, 23, 2] Generated Node #2: [13, 23, 2] from Operation: 77-75=2 Current State: 49:[13, 23, 2], Operations: ['77-75=2'] Exploring Operation: 13*2=26, Resulting Numbers: [23, 26] Generated Node #3: [23, 26] from Operation: 13*2=26 Current State: 49:[23, 26], Operations: ['77-75=2', '13*2=26'] Exploring Operation: 23+26=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 1, 55, 49, 13 ]
84
[ "1+13=14", "55-49=6", "14*6=84" ]
Current State: 84:[1, 55, 49, 13], Operations: [] Exploring Operation: 1+13=14, Resulting Numbers: [55, 49, 14] Generated Node #2: [55, 49, 14] from Operation: 1+13=14 Current State: 84:[55, 49, 14], Operations: ['1+13=14'] Exploring Operation: 55-49=6, Resulting Numbers: [14, 6] Generated Node #3: [14, 6] from Operation: 55-49=6 Current State: 84:[14, 6], Operations: ['1+13=14', '55-49=6'] Exploring Operation: 14*6=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 7, 25, 5, 42 ]
69
[ "7+25=32", "42-5=37", "32+37=69" ]
Current State: 69:[7, 25, 5, 42], Operations: [] Exploring Operation: 7+25=32, Resulting Numbers: [5, 42, 32] Generated Node #2: [5, 42, 32] from Operation: 7+25=32 Current State: 69:[5, 42, 32], Operations: ['7+25=32'] Exploring Operation: 42-5=37, Resulting Numbers: [32, 37] Generated Node #3: [32, 37] from Operation: 42-5=37 Current State: 69:[32, 37], Operations: ['7+25=32', '42-5=37'] Exploring Operation: 32+37=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 32, 4, 77, 56 ]
71
[ "56-32=24", "24/4=6", "77-6=71" ]
Current State: 71:[32, 4, 77, 56], Operations: [] Exploring Operation: 56-32=24, Resulting Numbers: [4, 77, 24] Generated Node #2: [4, 77, 24] from Operation: 56-32=24 Current State: 71:[4, 77, 24], Operations: ['56-32=24'] Exploring Operation: 24/4=6, Resulting Numbers: [77, 6] Generated Node #3: [77, 6] from Operation: 24/4=6 Current State: 71:[77, 6], Operations: ['56-32=24', '24/4=6'] Exploring Operation: 77-6=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 52, 64, 53, 57 ]
98
[ "64-52=12", "53+57=110", "110-12=98" ]
Current State: 98:[52, 64, 53, 57], Operations: [] Exploring Operation: 64-52=12, Resulting Numbers: [53, 57, 12] Generated Node #2: [53, 57, 12] from Operation: 64-52=12 Current State: 98:[53, 57, 12], Operations: ['64-52=12'] Exploring Operation: 53+57=110, Resulting Numbers: [12, 110] Generated Node #3: [12, 110] from Operation: 53+57=110 Current State: 98:[12, 110], Operations: ['64-52=12', '53+57=110'] Exploring Operation: 110-12=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 36, 6, 18, 60 ]
20
[ "36-6=30", "60/30=2", "18+2=20" ]
Current State: 20:[36, 6, 18, 60], Operations: [] Exploring Operation: 36-6=30, Resulting Numbers: [18, 60, 30] Generated Node #2: [18, 60, 30] from Operation: 36-6=30 Current State: 20:[18, 60, 30], Operations: ['36-6=30'] Exploring Operation: 60/30=2, Resulting Numbers: [18, 2] Generated Node #3: [18, 2] from Operation: 60/30=2 Current State: 20:[18, 2], Operations: ['36-6=30', '60/30=2'] Exploring Operation: 18+2=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 44, 41, 36, 95 ]
62
[ "44-41=3", "95-36=59", "3+59=62" ]
Current State: 62:[44, 41, 36, 95], Operations: [] Exploring Operation: 44-41=3, Resulting Numbers: [36, 95, 3] Generated Node #2: [36, 95, 3] from Operation: 44-41=3 Current State: 62:[36, 95, 3], Operations: ['44-41=3'] Exploring Operation: 95-36=59, Resulting Numbers: [3, 59] Generated Node #3: [3, 59] from Operation: 95-36=59 Current State: 62:[3, 59], Operations: ['44-41=3', '95-36=59'] Exploring Operation: 3+59=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 27, 2, 23, 71 ]
51
[ "71-23=48", "48/2=24", "27+24=51" ]
Current State: 51:[27, 2, 23, 71], Operations: [] Exploring Operation: 71-23=48, Resulting Numbers: [27, 2, 48] Generated Node #2: [27, 2, 48] from Operation: 71-23=48 Current State: 51:[27, 2, 48], Operations: ['71-23=48'] Exploring Operation: 48/2=24, Resulting Numbers: [27, 24] Generated Node #3: [27, 24] from Operation: 48/2=24 Current State: 51:[27, 24], Operations: ['71-23=48', '48/2=24'] Exploring Operation: 27+24=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 15, 6, 16, 45 ]
42
[ "45/15=3", "16*3=48", "48-6=42" ]
Current State: 42:[15, 6, 16, 45], Operations: [] Exploring Operation: 45/15=3, Resulting Numbers: [6, 16, 3] Generated Node #2: [6, 16, 3] from Operation: 45/15=3 Current State: 42:[6, 16, 3], Operations: ['45/15=3'] Exploring Operation: 16*3=48, Resulting Numbers: [6, 48] Generated Node #3: [6, 48] from Operation: 16*3=48 Current State: 42:[6, 48], Operations: ['45/15=3', '16*3=48'] Exploring Operation: 48-6=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 4, 47, 96, 36 ]
13
[ "96/4=24", "47-36=11", "24-11=13" ]
Current State: 13:[4, 47, 96, 36], Operations: [] Exploring Operation: 96/4=24, Resulting Numbers: [47, 36, 24] Generated Node #2: [47, 36, 24] from Operation: 96/4=24 Current State: 13:[47, 36, 24], Operations: ['96/4=24'] Exploring Operation: 47-36=11, Resulting Numbers: [24, 11] Generated Node #3: [24, 11] from Operation: 47-36=11 Current State: 13:[24, 11], Operations: ['96/4=24', '47-36=11'] Exploring Operation: 24-11=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 64, 49, 2, 88 ]
58
[ "64-49=15", "2*15=30", "88-30=58" ]
Current State: 58:[64, 49, 2, 88], Operations: [] Exploring Operation: 64-49=15, Resulting Numbers: [2, 88, 15] Generated Node #2: [2, 88, 15] from Operation: 64-49=15 Current State: 58:[2, 88, 15], Operations: ['64-49=15'] Exploring Operation: 2*15=30, Resulting Numbers: [88, 30] Generated Node #3: [88, 30] from Operation: 2*15=30 Current State: 58:[88, 30], Operations: ['64-49=15', '2*15=30'] Exploring Operation: 88-30=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 68, 16, 55, 88 ]
91
[ "68-16=52", "55+88=143", "143-52=91" ]
Current State: 91:[68, 16, 55, 88], Operations: [] Exploring Operation: 68-16=52, Resulting Numbers: [55, 88, 52] Generated Node #2: [55, 88, 52] from Operation: 68-16=52 Current State: 91:[55, 88, 52], Operations: ['68-16=52'] Exploring Operation: 55+88=143, Resulting Numbers: [52, 143] Generated Node #3: [52, 143] from Operation: 55+88=143 Current State: 91:[52, 143], Operations: ['68-16=52', '55+88=143'] Exploring Operation: 143-52=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 49, 2, 63, 54 ]
80
[ "63-49=14", "54-14=40", "2*40=80" ]
Current State: 80:[49, 2, 63, 54], Operations: [] Exploring Operation: 63-49=14, Resulting Numbers: [2, 54, 14] Generated Node #2: [2, 54, 14] from Operation: 63-49=14 Current State: 80:[2, 54, 14], Operations: ['63-49=14'] Exploring Operation: 54-14=40, Resulting Numbers: [2, 40] Generated Node #3: [2, 40] from Operation: 54-14=40 Current State: 80:[2, 40], Operations: ['63-49=14', '54-14=40'] Exploring Operation: 2*40=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 4, 19, 14, 70 ]
12
[ "14-4=10", "70/10=7", "19-7=12" ]
Current State: 12:[4, 19, 14, 70], Operations: [] Exploring Operation: 14-4=10, Resulting Numbers: [19, 70, 10] Generated Node #2: [19, 70, 10] from Operation: 14-4=10 Current State: 12:[19, 70, 10], Operations: ['14-4=10'] Exploring Operation: 70/10=7, Resulting Numbers: [19, 7] Generated Node #3: [19, 7] from Operation: 70/10=7 Current State: 12:[19, 7], Operations: ['14-4=10', '70/10=7'] Exploring Operation: 19-7=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 82, 78, 26, 93 ]
71
[ "82-78=4", "93-26=67", "4+67=71" ]
Current State: 71:[82, 78, 26, 93], Operations: [] Exploring Operation: 82-78=4, Resulting Numbers: [26, 93, 4] Generated Node #2: [26, 93, 4] from Operation: 82-78=4 Current State: 71:[26, 93, 4], Operations: ['82-78=4'] Exploring Operation: 93-26=67, Resulting Numbers: [4, 67] Generated Node #3: [4, 67] from Operation: 93-26=67 Current State: 71:[4, 67], Operations: ['82-78=4', '93-26=67'] Exploring Operation: 4+67=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 65, 4, 16, 61 ]
15
[ "65-4=61", "61/61=1", "16-1=15" ]
Current State: 15:[65, 4, 16, 61], Operations: [] Exploring Operation: 65-4=61, Resulting Numbers: [16, 61, 61] Generated Node #2: [16, 61, 61] from Operation: 65-4=61 Current State: 15:[16, 61, 61], Operations: ['65-4=61'] Exploring Operation: 61/61=1, Resulting Numbers: [16, 1] Generated Node #3: [16, 1] from Operation: 61/61=1 Current State: 15:[16, 1], Operations: ['65-4=61', '61/61=1'] Exploring Operation: 16-1=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 44, 29, 12, 19 ]
42
[ "44+29=73", "12+19=31", "73-31=42" ]
Current State: 42:[44, 29, 12, 19], Operations: [] Exploring Operation: 44+29=73, Resulting Numbers: [12, 19, 73] Generated Node #2: [12, 19, 73] from Operation: 44+29=73 Current State: 42:[12, 19, 73], Operations: ['44+29=73'] Exploring Operation: 12+19=31, Resulting Numbers: [73, 31] Generated Node #3: [73, 31] from Operation: 12+19=31 Current State: 42:[73, 31], Operations: ['44+29=73', '12+19=31'] Exploring Operation: 73-31=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 80, 72, 75, 30 ]
48
[ "80-30=50", "72*50=3600", "3600/75=48" ]
Current State: 48:[80, 72, 75, 30], Operations: [] Exploring Operation: 80-30=50, Resulting Numbers: [72, 75, 50] Generated Node #2: [72, 75, 50] from Operation: 80-30=50 Current State: 48:[72, 75, 50], Operations: ['80-30=50'] Exploring Operation: 72*50=3600, Resulting Numbers: [75, 3600] Generated Node #3: [75, 3600] from Operation: 72*50=3600 Current State: 48:[75, 3600], Operations: ['80-30=50', '72*50=3600'] Exploring Operation: 3600/75=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 60, 12, 58, 59 ]
72
[ "60+12=72", "59-58=1", "72*1=72" ]
Current State: 72:[60, 12, 58, 59], Operations: [] Exploring Operation: 60+12=72, Resulting Numbers: [58, 59, 72] Generated Node #2: [58, 59, 72] from Operation: 60+12=72 Current State: 72:[58, 59, 72], Operations: ['60+12=72'] Exploring Operation: 59-58=1, Resulting Numbers: [72, 1] Generated Node #3: [72, 1] from Operation: 59-58=1 Current State: 72:[72, 1], Operations: ['60+12=72', '59-58=1'] Exploring Operation: 72*1=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 16, 88, 83, 85 ]
64
[ "16+88=104", "83+85=168", "168-104=64" ]
Current State: 64:[16, 88, 83, 85], Operations: [] Exploring Operation: 16+88=104, Resulting Numbers: [83, 85, 104] Generated Node #2: [83, 85, 104] from Operation: 16+88=104 Current State: 64:[83, 85, 104], Operations: ['16+88=104'] Exploring Operation: 83+85=168, Resulting Numbers: [104, 168] Generated Node #3: [104, 168] from Operation: 83+85=168 Current State: 64:[104, 168], Operations: ['16+88=104', '83+85=168'] Exploring Operation: 168-104=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 71, 71, 68, 98 ]
30
[ "71-71=0", "98-68=30", "0+30=30" ]
Current State: 30:[71, 71, 68, 98], Operations: [] Exploring Operation: 71-71=0, Resulting Numbers: [68, 98, 0] Generated Node #2: [68, 98, 0] from Operation: 71-71=0 Current State: 30:[68, 98, 0], Operations: ['71-71=0'] Exploring Operation: 98-68=30, Resulting Numbers: [0, 30] Generated Node #3: [0, 30] from Operation: 98-68=30 Current State: 30:[0, 30], Operations: ['71-71=0', '98-68=30'] Exploring Operation: 0+30=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 97, 30, 67, 19 ]
79
[ "97+30=127", "67-19=48", "127-48=79" ]
Current State: 79:[97, 30, 67, 19], Operations: [] Exploring Operation: 97+30=127, Resulting Numbers: [67, 19, 127] Generated Node #2: [67, 19, 127] from Operation: 97+30=127 Current State: 79:[67, 19, 127], Operations: ['97+30=127'] Exploring Operation: 67-19=48, Resulting Numbers: [127, 48] Generated Node #3: [127, 48] from Operation: 67-19=48 Current State: 79:[127, 48], Operations: ['97+30=127', '67-19=48'] Exploring Operation: 127-48=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 57, 80, 83, 55 ]
86
[ "57-55=2", "83*2=166", "166-80=86" ]
Current State: 86:[57, 80, 83, 55], Operations: [] Exploring Operation: 57-55=2, Resulting Numbers: [80, 83, 2] Generated Node #2: [80, 83, 2] from Operation: 57-55=2 Current State: 86:[80, 83, 2], Operations: ['57-55=2'] Exploring Operation: 83*2=166, Resulting Numbers: [80, 166] Generated Node #3: [80, 166] from Operation: 83*2=166 Current State: 86:[80, 166], Operations: ['57-55=2', '83*2=166'] Exploring Operation: 166-80=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 17, 52, 42, 42 ]
52
[ "42-42=0", "17*0=0", "52+0=52" ]
Current State: 52:[17, 52, 42, 42], Operations: [] Exploring Operation: 42-42=0, Resulting Numbers: [17, 52, 0] Generated Node #2: [17, 52, 0] from Operation: 42-42=0 Current State: 52:[17, 52, 0], Operations: ['42-42=0'] Exploring Operation: 17*0=0, Resulting Numbers: [52, 0] Generated Node #3: [52, 0] from Operation: 17*0=0 Current State: 52:[52, 0], Operations: ['42-42=0', '17*0=0'] Exploring Operation: 52+0=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 3, 3, 49, 82 ]
96
[ "82-49=33", "3*33=99", "99-3=96" ]
Current State: 96:[3, 3, 49, 82], Operations: [] Exploring Operation: 82-49=33, Resulting Numbers: [3, 3, 33] Generated Node #2: [3, 3, 33] from Operation: 82-49=33 Current State: 96:[3, 3, 33], Operations: ['82-49=33'] Exploring Operation: 3*33=99, Resulting Numbers: [99] 99,96 equal: Goal Reached Exploring Operation: 99-3=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 15, 17, 40, 55 ]
16
[ "15+40=55", "55/55=1", "17-1=16" ]
Current State: 16:[15, 17, 40, 55], Operations: [] Exploring Operation: 15+40=55, Resulting Numbers: [17, 55, 55] Generated Node #2: [17, 55, 55] from Operation: 15+40=55 Current State: 16:[17, 55, 55], Operations: ['15+40=55'] Exploring Operation: 55/55=1, Resulting Numbers: [17, 1] Generated Node #3: [17, 1] from Operation: 55/55=1 Current State: 16:[17, 1], Operations: ['15+40=55', '55/55=1'] Exploring Operation: 17-1=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 49, 11, 48, 50 ]
40
[ "49+11=60", "48*50=2400", "2400/60=40" ]
Current State: 40:[49, 11, 48, 50], Operations: [] Exploring Operation: 49+11=60, Resulting Numbers: [48, 50, 60] Generated Node #2: [48, 50, 60] from Operation: 49+11=60 Current State: 40:[48, 50, 60], Operations: ['49+11=60'] Exploring Operation: 48*50=2400, Resulting Numbers: [60, 2400] Generated Node #3: [60, 2400] from Operation: 48*50=2400 Current State: 40:[60, 2400], Operations: ['49+11=60', '48*50=2400'] Exploring Operation: 2400/60=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 76, 7, 64, 42 ]
47
[ "76-7=69", "64-42=22", "69-22=47" ]
Current State: 47:[76, 7, 64, 42], Operations: [] Exploring Operation: 76-7=69, Resulting Numbers: [64, 42, 69] Generated Node #2: [64, 42, 69] from Operation: 76-7=69 Current State: 47:[64, 42, 69], Operations: ['76-7=69'] Exploring Operation: 64-42=22, Resulting Numbers: [69, 22] Generated Node #3: [69, 22] from Operation: 64-42=22 Current State: 47:[69, 22], Operations: ['76-7=69', '64-42=22'] Exploring Operation: 69-22=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 44, 9, 3, 5 ]
97
[ "5-3=2", "44*2=88", "9+88=97" ]
Current State: 97:[44, 9, 3, 5], Operations: [] Exploring Operation: 5-3=2, Resulting Numbers: [44, 9, 2] Generated Node #2: [44, 9, 2] from Operation: 5-3=2 Current State: 97:[44, 9, 2], Operations: ['5-3=2'] Exploring Operation: 44*2=88, Resulting Numbers: [9, 88] Generated Node #3: [9, 88] from Operation: 44*2=88 Current State: 97:[9, 88], Operations: ['5-3=2', '44*2=88'] Exploring Operation: 9+88=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 32, 68, 53, 90 ]
43
[ "32+68=100", "53+90=143", "143-100=43" ]
Current State: 43:[32, 68, 53, 90], Operations: [] Exploring Operation: 32+68=100, Resulting Numbers: [53, 90, 100] Generated Node #2: [53, 90, 100] from Operation: 32+68=100 Current State: 43:[53, 90, 100], Operations: ['32+68=100'] Exploring Operation: 53+90=143, Resulting Numbers: [100, 143] Generated Node #3: [100, 143] from Operation: 53+90=143 Current State: 43:[100, 143], Operations: ['32+68=100', '53+90=143'] Exploring Operation: 143-100=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 25, 58, 67, 64 ]
48
[ "25+58=83", "67+64=131", "131-83=48" ]
Current State: 48:[25, 58, 67, 64], Operations: [] Exploring Operation: 25+58=83, Resulting Numbers: [67, 64, 83] Generated Node #2: [67, 64, 83] from Operation: 25+58=83 Current State: 48:[67, 64, 83], Operations: ['25+58=83'] Exploring Operation: 67+64=131, Resulting Numbers: [83, 131] Generated Node #3: [83, 131] from Operation: 67+64=131 Current State: 48:[83, 131], Operations: ['25+58=83', '67+64=131'] Exploring Operation: 131-83=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 34, 85, 14, 24 ]
59
[ "85*14=1190", "1190/34=35", "24+35=59" ]
Current State: 59:[34, 85, 14, 24], Operations: [] Exploring Operation: 85*14=1190, Resulting Numbers: [34, 24, 1190] Generated Node #2: [34, 24, 1190] from Operation: 85*14=1190 Current State: 59:[34, 24, 1190], Operations: ['85*14=1190'] Exploring Operation: 1190/34=35, Resulting Numbers: [24, 35] Generated Node #3: [24, 35] from Operation: 1190/34=35 Current State: 59:[24, 35], Operations: ['85*14=1190', '1190/34=35'] Exploring Operation: 24+35=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 18, 51, 84, 60 ]
57
[ "51-18=33", "84-60=24", "33+24=57" ]
Current State: 57:[18, 51, 84, 60], Operations: [] Exploring Operation: 51-18=33, Resulting Numbers: [84, 60, 33] Generated Node #2: [84, 60, 33] from Operation: 51-18=33 Current State: 57:[84, 60, 33], Operations: ['51-18=33'] Exploring Operation: 84-60=24, Resulting Numbers: [33, 24] Generated Node #3: [33, 24] from Operation: 84-60=24 Current State: 57:[33, 24], Operations: ['51-18=33', '84-60=24'] Exploring Operation: 33+24=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 7, 61, 43, 64 ]
64
[ "64-61=3", "7*3=21", "43+21=64" ]
Current State: 64:[7, 61, 43, 64], Operations: [] Exploring Operation: 64-61=3, Resulting Numbers: [7, 43, 3] Generated Node #2: [7, 43, 3] from Operation: 64-61=3 Current State: 64:[7, 43, 3], Operations: ['64-61=3'] Exploring Operation: 7*3=21, Resulting Numbers: [43, 21] Generated Node #3: [43, 21] from Operation: 7*3=21 Current State: 64:[43, 21], Operations: ['64-61=3', '7*3=21'] Exploring Operation: 43+21=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 97, 78, 45, 46 ]
19
[ "97-78=19", "46-45=1", "19*1=19" ]
Current State: 19:[97, 78, 45, 46], Operations: [] Exploring Operation: 97-78=19, Resulting Numbers: [45, 46, 19] Generated Node #2: [45, 46, 19] from Operation: 97-78=19 Current State: 19:[45, 46, 19], Operations: ['97-78=19'] Exploring Operation: 46-45=1, Resulting Numbers: [19, 1] Generated Node #3: [19, 1] from Operation: 46-45=1 Current State: 19:[19, 1], Operations: ['97-78=19', '46-45=1'] Exploring Operation: 19*1=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 65, 42, 66, 2 ]
42
[ "66-65=1", "2-1=1", "42*1=42" ]
Current State: 42:[65, 42, 66, 2], Operations: [] Exploring Operation: 66-65=1, Resulting Numbers: [42, 2, 1] Generated Node #2: [42, 2, 1] from Operation: 66-65=1 Current State: 42:[42, 2, 1], Operations: ['66-65=1'] Exploring Operation: 2-1=1, Resulting Numbers: [42, 1] Generated Node #3: [42, 1] from Operation: 2-1=1 Current State: 42:[42, 1], Operations: ['66-65=1', '2-1=1'] Exploring Operation: 42*1=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 79, 10, 61, 72 ]
64
[ "79-10=69", "61+72=133", "133-69=64" ]
Current State: 64:[79, 10, 61, 72], Operations: [] Exploring Operation: 79-10=69, Resulting Numbers: [61, 72, 69] Generated Node #2: [61, 72, 69] from Operation: 79-10=69 Current State: 64:[61, 72, 69], Operations: ['79-10=69'] Exploring Operation: 61+72=133, Resulting Numbers: [69, 133] Generated Node #3: [69, 133] from Operation: 61+72=133 Current State: 64:[69, 133], Operations: ['79-10=69', '61+72=133'] Exploring Operation: 133-69=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 89, 99, 89, 7 ]
93
[ "89/89=1", "99-7=92", "1+92=93" ]
Current State: 93:[89, 99, 89, 7], Operations: [] Exploring Operation: 89/89=1, Resulting Numbers: [99, 7, 1] Generated Node #2: [99, 7, 1] from Operation: 89/89=1 Current State: 93:[99, 7, 1], Operations: ['89/89=1'] Exploring Operation: 99-7=92, Resulting Numbers: [1, 92] Generated Node #3: [1, 92] from Operation: 99-7=92 Current State: 93:[1, 92], Operations: ['89/89=1', '99-7=92'] Exploring Operation: 1+92=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 84, 18, 28, 63 ]
78
[ "84/28=3", "18+63=81", "81-3=78" ]
Current State: 78:[84, 18, 28, 63], Operations: [] Exploring Operation: 84/28=3, Resulting Numbers: [18, 63, 3] Generated Node #2: [18, 63, 3] from Operation: 84/28=3 Current State: 78:[18, 63, 3], Operations: ['84/28=3'] Exploring Operation: 18+63=81, Resulting Numbers: [3, 81] Generated Node #3: [3, 81] from Operation: 18+63=81 Current State: 78:[3, 81], Operations: ['84/28=3', '18+63=81'] Exploring Operation: 81-3=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 58, 86, 18, 63 ]
98
[ "86-58=28", "63*28=1764", "1764/18=98" ]
Current State: 98:[58, 86, 18, 63], Operations: [] Exploring Operation: 86-58=28, Resulting Numbers: [18, 63, 28] Generated Node #2: [18, 63, 28] from Operation: 86-58=28 Current State: 98:[18, 63, 28], Operations: ['86-58=28'] Exploring Operation: 63*28=1764, Resulting Numbers: [18, 1764] Generated Node #3: [18, 1764] from Operation: 63*28=1764 Current State: 98:[18, 1764], Operations: ['86-58=28', '63*28=1764'] Exploring Operation: 1764/18=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 20, 41, 56, 22 ]
69
[ "22-20=2", "56/2=28", "41+28=69" ]
Current State: 69:[20, 41, 56, 22], Operations: [] Exploring Operation: 22-20=2, Resulting Numbers: [41, 56, 2] Generated Node #2: [41, 56, 2] from Operation: 22-20=2 Current State: 69:[41, 56, 2], Operations: ['22-20=2'] Exploring Operation: 56/2=28, Resulting Numbers: [41, 28] Generated Node #3: [41, 28] from Operation: 56/2=28 Current State: 69:[41, 28], Operations: ['22-20=2', '56/2=28'] Exploring Operation: 41+28=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 19, 35, 21, 42 ]
28
[ "21-19=2", "35*2=70", "70-42=28" ]
Current State: 28:[19, 35, 21, 42], Operations: [] Exploring Operation: 21-19=2, Resulting Numbers: [35, 42, 2] Generated Node #2: [35, 42, 2] from Operation: 21-19=2 Current State: 28:[35, 42, 2], Operations: ['21-19=2'] Exploring Operation: 35*2=70, Resulting Numbers: [42, 70] Generated Node #3: [42, 70] from Operation: 35*2=70 Current State: 28:[42, 70], Operations: ['21-19=2', '35*2=70'] Exploring Operation: 70-42=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 49, 13, 4, 46 ]
25
[ "49-46=3", "4*3=12", "13+12=25" ]
Current State: 25:[49, 13, 4, 46], Operations: [] Exploring Operation: 49-46=3, Resulting Numbers: [13, 4, 3] Generated Node #2: [13, 4, 3] from Operation: 49-46=3 Current State: 25:[13, 4, 3], Operations: ['49-46=3'] Exploring Operation: 4*3=12, Resulting Numbers: [13, 12] Generated Node #3: [13, 12] from Operation: 4*3=12 Current State: 25:[13, 12], Operations: ['49-46=3', '4*3=12'] Exploring Operation: 13+12=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 7, 9, 76, 97 ]
27
[ "97-76=21", "21/7=3", "9*3=27" ]
Current State: 27:[7, 9, 76, 97], Operations: [] Exploring Operation: 97-76=21, Resulting Numbers: [7, 9, 21] Generated Node #2: [7, 9, 21] from Operation: 97-76=21 Current State: 27:[7, 9, 21], Operations: ['97-76=21'] Exploring Operation: 21/7=3, Resulting Numbers: [9, 3] Generated Node #3: [9, 3] from Operation: 21/7=3 Current State: 27:[9, 3], Operations: ['97-76=21', '21/7=3'] Exploring Operation: 9*3=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 37, 76, 6, 1 ]
34
[ "76-37=39", "6-1=5", "39-5=34" ]
Current State: 34:[37, 76, 6, 1], Operations: [] Exploring Operation: 76-37=39, Resulting Numbers: [6, 1, 39] Generated Node #2: [6, 1, 39] from Operation: 76-37=39 Current State: 34:[6, 1, 39], Operations: ['76-37=39'] Exploring Operation: 6-1=5, Resulting Numbers: [39, 5] Generated Node #3: [39, 5] from Operation: 6-1=5 Current State: 34:[39, 5], Operations: ['76-37=39', '6-1=5'] Exploring Operation: 39-5=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 70, 39, 79, 10 ]
100
[ "70-39=31", "79-10=69", "31+69=100" ]
Current State: 100:[70, 39, 79, 10], Operations: [] Exploring Operation: 70-39=31, Resulting Numbers: [79, 10, 31] Generated Node #2: [79, 10, 31] from Operation: 70-39=31 Current State: 100:[79, 10, 31], Operations: ['70-39=31'] Exploring Operation: 79-10=69, Resulting Numbers: [31, 69] Generated Node #3: [31, 69] from Operation: 79-10=69 Current State: 100:[31, 69], Operations: ['70-39=31', '79-10=69'] Exploring Operation: 31+69=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 63, 28, 2, 93 ]
23
[ "63-28=35", "2*35=70", "93-70=23" ]
Current State: 23:[63, 28, 2, 93], Operations: [] Exploring Operation: 63-28=35, Resulting Numbers: [2, 93, 35] Generated Node #2: [2, 93, 35] from Operation: 63-28=35 Current State: 23:[2, 93, 35], Operations: ['63-28=35'] Exploring Operation: 2*35=70, Resulting Numbers: [93, 70] Generated Node #3: [93, 70] from Operation: 2*35=70 Current State: 23:[93, 70], Operations: ['63-28=35', '2*35=70'] Exploring Operation: 93-70=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 4, 96, 69, 1 ]
33
[ "4+1=5", "96+69=165", "165/5=33" ]
Current State: 33:[4, 96, 69, 1], Operations: [] Exploring Operation: 4+1=5, Resulting Numbers: [96, 69, 5] Generated Node #2: [96, 69, 5] from Operation: 4+1=5 Current State: 33:[96, 69, 5], Operations: ['4+1=5'] Exploring Operation: 96+69=165, Resulting Numbers: [5, 165] Generated Node #3: [5, 165] from Operation: 96+69=165 Current State: 33:[5, 165], Operations: ['4+1=5', '96+69=165'] Exploring Operation: 165/5=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 2, 54, 85, 33 ]
91
[ "54/2=27", "85+33=118", "118-27=91" ]
Current State: 91:[2, 54, 85, 33], Operations: [] Exploring Operation: 54/2=27, Resulting Numbers: [85, 33, 27] Generated Node #2: [85, 33, 27] from Operation: 54/2=27 Current State: 91:[85, 33, 27], Operations: ['54/2=27'] Exploring Operation: 85+33=118, Resulting Numbers: [27, 118] Generated Node #3: [27, 118] from Operation: 85+33=118 Current State: 91:[27, 118], Operations: ['54/2=27', '85+33=118'] Exploring Operation: 118-27=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 26, 30, 72, 2 ]
25
[ "30+72=102", "102/2=51", "51-26=25" ]
Current State: 25:[26, 30, 72, 2], Operations: [] Exploring Operation: 30+72=102, Resulting Numbers: [26, 2, 102] Generated Node #2: [26, 2, 102] from Operation: 30+72=102 Current State: 25:[26, 2, 102], Operations: ['30+72=102'] Exploring Operation: 102/2=51, Resulting Numbers: [26, 51] Generated Node #3: [26, 51] from Operation: 102/2=51 Current State: 25:[26, 51], Operations: ['30+72=102', '102/2=51'] Exploring Operation: 51-26=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 53, 3, 42, 52 ]
84
[ "53-3=50", "52-50=2", "42*2=84" ]
Current State: 84:[53, 3, 42, 52], Operations: [] Exploring Operation: 53-3=50, Resulting Numbers: [42, 52, 50] Generated Node #2: [42, 52, 50] from Operation: 53-3=50 Current State: 84:[42, 52, 50], Operations: ['53-3=50'] Exploring Operation: 52-50=2, Resulting Numbers: [42, 2] Generated Node #3: [42, 2] from Operation: 52-50=2 Current State: 84:[42, 2], Operations: ['53-3=50', '52-50=2'] Exploring Operation: 42*2=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 31, 2, 78, 48 ]
23
[ "78-31=47", "48/2=24", "47-24=23" ]
Current State: 23:[31, 2, 78, 48], Operations: [] Exploring Operation: 78-31=47, Resulting Numbers: [2, 48, 47] Generated Node #2: [2, 48, 47] from Operation: 78-31=47 Current State: 23:[2, 48, 47], Operations: ['78-31=47'] Exploring Operation: 48/2=24, Resulting Numbers: [47, 24] Generated Node #3: [47, 24] from Operation: 48/2=24 Current State: 23:[47, 24], Operations: ['78-31=47', '48/2=24'] Exploring Operation: 47-24=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 7, 28, 15, 20 ]
65
[ "28/7=4", "20*4=80", "80-15=65" ]
Current State: 65:[7, 28, 15, 20], Operations: [] Exploring Operation: 28/7=4, Resulting Numbers: [15, 20, 4] Generated Node #2: [15, 20, 4] from Operation: 28/7=4 Current State: 65:[15, 20, 4], Operations: ['28/7=4'] Exploring Operation: 20*4=80, Resulting Numbers: [15, 80] Generated Node #3: [15, 80] from Operation: 20*4=80 Current State: 65:[15, 80], Operations: ['28/7=4', '20*4=80'] Exploring Operation: 80-15=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 15, 75, 83, 90 ]
82
[ "15+75=90", "90/90=1", "83-1=82" ]
Current State: 82:[15, 75, 83, 90], Operations: [] Exploring Operation: 15+75=90, Resulting Numbers: [83, 90, 90] Generated Node #2: [83, 90, 90] from Operation: 15+75=90 Current State: 82:[83, 90, 90], Operations: ['15+75=90'] Exploring Operation: 90/90=1, Resulting Numbers: [83, 1] Generated Node #3: [83, 1] from Operation: 90/90=1 Current State: 82:[83, 1], Operations: ['15+75=90', '90/90=1'] Exploring Operation: 83-1=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 21, 44, 38, 36 ]
51
[ "44-21=23", "38+36=74", "74-23=51" ]
Current State: 51:[21, 44, 38, 36], Operations: [] Exploring Operation: 44-21=23, Resulting Numbers: [38, 36, 23] Generated Node #2: [38, 36, 23] from Operation: 44-21=23 Current State: 51:[38, 36, 23], Operations: ['44-21=23'] Exploring Operation: 38+36=74, Resulting Numbers: [23, 74] Generated Node #3: [23, 74] from Operation: 38+36=74 Current State: 51:[23, 74], Operations: ['44-21=23', '38+36=74'] Exploring Operation: 74-23=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 99, 53, 12, 50 ]
84
[ "99-53=46", "50-12=38", "46+38=84" ]
Current State: 84:[99, 53, 12, 50], Operations: [] Exploring Operation: 99-53=46, Resulting Numbers: [12, 50, 46] Generated Node #2: [12, 50, 46] from Operation: 99-53=46 Current State: 84:[12, 50, 46], Operations: ['99-53=46'] Exploring Operation: 50-12=38, Resulting Numbers: [46, 38] Generated Node #3: [46, 38] from Operation: 50-12=38 Current State: 84:[46, 38], Operations: ['99-53=46', '50-12=38'] Exploring Operation: 46+38=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 29, 27, 28, 3 ]
17
[ "29-27=2", "28/2=14", "3+14=17" ]
Current State: 17:[29, 27, 28, 3], Operations: [] Exploring Operation: 29-27=2, Resulting Numbers: [28, 3, 2] Generated Node #2: [28, 3, 2] from Operation: 29-27=2 Current State: 17:[28, 3, 2], Operations: ['29-27=2'] Exploring Operation: 28/2=14, Resulting Numbers: [3, 14] Generated Node #3: [3, 14] from Operation: 28/2=14 Current State: 17:[3, 14], Operations: ['29-27=2', '28/2=14'] Exploring Operation: 3+14=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 52, 78, 48, 26 ]
45
[ "52-26=26", "78/26=3", "48-3=45" ]
Current State: 45:[52, 78, 48, 26], Operations: [] Exploring Operation: 52-26=26, Resulting Numbers: [78, 48, 26] Generated Node #2: [78, 48, 26] from Operation: 52-26=26 Current State: 45:[78, 48, 26], Operations: ['52-26=26'] Exploring Operation: 78/26=3, Resulting Numbers: [48, 3] Generated Node #3: [48, 3] from Operation: 78/26=3 Current State: 45:[48, 3], Operations: ['52-26=26', '78/26=3'] Exploring Operation: 48-3=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 92, 70, 90, 61 ]
82
[ "70-61=9", "90/9=10", "92-10=82" ]
Current State: 82:[92, 70, 90, 61], Operations: [] Exploring Operation: 70-61=9, Resulting Numbers: [92, 90, 9] Generated Node #2: [92, 90, 9] from Operation: 70-61=9 Current State: 82:[92, 90, 9], Operations: ['70-61=9'] Exploring Operation: 90/9=10, Resulting Numbers: [92, 10] Generated Node #3: [92, 10] from Operation: 90/9=10 Current State: 82:[92, 10], Operations: ['70-61=9', '90/9=10'] Exploring Operation: 92-10=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 82, 21, 73, 16 ]
59
[ "82*16=1312", "1312-73=1239", "1239/21=59" ]
Current State: 59:[82, 21, 73, 16], Operations: [] Exploring Operation: 82*16=1312, Resulting Numbers: [21, 73, 1312] Generated Node #2: [21, 73, 1312] from Operation: 82*16=1312 Current State: 59:[21, 73, 1312], Operations: ['82*16=1312'] Exploring Operation: 1312-73=1239, Resulting Numbers: [21, 1239] Generated Node #3: [21, 1239] from Operation: 1312-73=1239 Current State: 59:[21, 1239], Operations: ['82*16=1312', '1312-73=1239'] Exploring Operation: 1239/21=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 50, 52, 26, 14 ]
90
[ "50+52=102", "26-14=12", "102-12=90" ]
Current State: 90:[50, 52, 26, 14], Operations: [] Exploring Operation: 50+52=102, Resulting Numbers: [26, 14, 102] Generated Node #2: [26, 14, 102] from Operation: 50+52=102 Current State: 90:[26, 14, 102], Operations: ['50+52=102'] Exploring Operation: 26-14=12, Resulting Numbers: [102, 12] Generated Node #3: [102, 12] from Operation: 26-14=12 Current State: 90:[102, 12], Operations: ['50+52=102', '26-14=12'] Exploring Operation: 102-12=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 84, 53, 53, 65 ]
20
[ "84-65=19", "53/53=1", "19+1=20" ]
Current State: 20:[84, 53, 53, 65], Operations: [] Exploring Operation: 84-65=19, Resulting Numbers: [53, 53, 19] Generated Node #2: [53, 53, 19] from Operation: 84-65=19 Current State: 20:[53, 53, 19], Operations: ['84-65=19'] Exploring Operation: 53/53=1, Resulting Numbers: [19, 1] Generated Node #3: [19, 1] from Operation: 53/53=1 Current State: 20:[19, 1], Operations: ['84-65=19', '53/53=1'] Exploring Operation: 19+1=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 84, 5, 80, 18 ]
82
[ "84-18=66", "80/5=16", "66+16=82" ]
Current State: 82:[84, 5, 80, 18], Operations: [] Exploring Operation: 84-18=66, Resulting Numbers: [5, 80, 66] Generated Node #2: [5, 80, 66] from Operation: 84-18=66 Current State: 82:[5, 80, 66], Operations: ['84-18=66'] Exploring Operation: 80/5=16, Resulting Numbers: [66, 16] Generated Node #3: [66, 16] from Operation: 80/5=16 Current State: 82:[66, 16], Operations: ['84-18=66', '80/5=16'] Exploring Operation: 66+16=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 27, 45, 83, 60 ]
42
[ "83-27=56", "45*56=2520", "2520/60=42" ]
Current State: 42:[27, 45, 83, 60], Operations: [] Exploring Operation: 83-27=56, Resulting Numbers: [45, 60, 56] Generated Node #2: [45, 60, 56] from Operation: 83-27=56 Current State: 42:[45, 60, 56], Operations: ['83-27=56'] Exploring Operation: 45*56=2520, Resulting Numbers: [60, 2520] Generated Node #3: [60, 2520] from Operation: 45*56=2520 Current State: 42:[60, 2520], Operations: ['83-27=56', '45*56=2520'] Exploring Operation: 2520/60=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 76, 90, 34, 24 ]
85
[ "34-24=10", "90/10=9", "76+9=85" ]
Current State: 85:[76, 90, 34, 24], Operations: [] Exploring Operation: 34-24=10, Resulting Numbers: [76, 90, 10] Generated Node #2: [76, 90, 10] from Operation: 34-24=10 Current State: 85:[76, 90, 10], Operations: ['34-24=10'] Exploring Operation: 90/10=9, Resulting Numbers: [76, 9] Generated Node #3: [76, 9] from Operation: 90/10=9 Current State: 85:[76, 9], Operations: ['34-24=10', '90/10=9'] Exploring Operation: 76+9=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 39, 6, 48, 90 ]
37
[ "6+90=96", "96/48=2", "39-2=37" ]
Current State: 37:[39, 6, 48, 90], Operations: [] Exploring Operation: 6+90=96, Resulting Numbers: [39, 48, 96] Generated Node #2: [39, 48, 96] from Operation: 6+90=96 Current State: 37:[39, 48, 96], Operations: ['6+90=96'] Exploring Operation: 96/48=2, Resulting Numbers: [39, 2] Generated Node #3: [39, 2] from Operation: 96/48=2 Current State: 37:[39, 2], Operations: ['6+90=96', '96/48=2'] Exploring Operation: 39-2=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 98, 44, 77, 35 ]
21
[ "98*44=4312", "4312/77=56", "56-35=21" ]
Current State: 21:[98, 44, 77, 35], Operations: [] Exploring Operation: 98*44=4312, Resulting Numbers: [77, 35, 4312] Generated Node #2: [77, 35, 4312] from Operation: 98*44=4312 Current State: 21:[77, 35, 4312], Operations: ['98*44=4312'] Exploring Operation: 4312/77=56, Resulting Numbers: [35, 56] Generated Node #3: [35, 56] from Operation: 4312/77=56 Current State: 21:[35, 56], Operations: ['98*44=4312', '4312/77=56'] Exploring Operation: 56-35=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 76, 26, 50, 75 ]
25
[ "76-26=50", "75-50=25", "50-25=25" ]
Current State: 25:[76, 26, 50, 75], Operations: [] Exploring Operation: 76-26=50, Resulting Numbers: [50, 75, 50] Generated Node #2: [50, 75, 50] from Operation: 76-26=50 Current State: 25:[50, 75, 50], Operations: ['76-26=50'] Exploring Operation: 75-50=25, Resulting Numbers: [25] 25,25 equal: Goal Reached Exploring Operation: 50-25=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 11, 72, 81, 59 ]
57
[ "11+72=83", "81+59=140", "140-83=57" ]
Current State: 57:[11, 72, 81, 59], Operations: [] Exploring Operation: 11+72=83, Resulting Numbers: [81, 59, 83] Generated Node #2: [81, 59, 83] from Operation: 11+72=83 Current State: 57:[81, 59, 83], Operations: ['11+72=83'] Exploring Operation: 81+59=140, Resulting Numbers: [83, 140] Generated Node #3: [83, 140] from Operation: 81+59=140 Current State: 57:[83, 140], Operations: ['11+72=83', '81+59=140'] Exploring Operation: 140-83=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 34, 2, 38, 34 ]
32
[ "34+2=36", "38-34=4", "36-4=32" ]
Current State: 32:[34, 2, 38, 34], Operations: [] Exploring Operation: 34+2=36, Resulting Numbers: [38, 36] Generated Node #2: [38, 36] from Operation: 34+2=36 Current State: 32:[38, 36], Operations: ['34+2=36'] Exploring Operation: 38-34=4, Resulting Numbers: [36, 4] Generated Node #3: [36, 4] from Operation: 38-34=4 Current State: 32:[36, 4], Operations: ['34+2=36', '38-34=4'] Exploring Operation: 36-4=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 42, 51, 4, 69 ]
82
[ "51-42=9", "4+69=73", "9+73=82" ]
Current State: 82:[42, 51, 4, 69], Operations: [] Exploring Operation: 51-42=9, Resulting Numbers: [4, 69, 9] Generated Node #2: [4, 69, 9] from Operation: 51-42=9 Current State: 82:[4, 69, 9], Operations: ['51-42=9'] Exploring Operation: 4+69=73, Resulting Numbers: [9, 73] Generated Node #3: [9, 73] from Operation: 4+69=73 Current State: 82:[9, 73], Operations: ['51-42=9', '4+69=73'] Exploring Operation: 9+73=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 5, 71, 64, 47 ]
49
[ "71-5=66", "64-47=17", "66-17=49" ]
Current State: 49:[5, 71, 64, 47], Operations: [] Exploring Operation: 71-5=66, Resulting Numbers: [64, 47, 66] Generated Node #2: [64, 47, 66] from Operation: 71-5=66 Current State: 49:[64, 47, 66], Operations: ['71-5=66'] Exploring Operation: 64-47=17, Resulting Numbers: [66, 17] Generated Node #3: [66, 17] from Operation: 64-47=17 Current State: 49:[66, 17], Operations: ['71-5=66', '64-47=17'] Exploring Operation: 66-17=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 73, 42, 33, 97 ]
99
[ "73-42=31", "33+97=130", "130-31=99" ]
Current State: 99:[73, 42, 33, 97], Operations: [] Exploring Operation: 73-42=31, Resulting Numbers: [33, 97, 31] Generated Node #2: [33, 97, 31] from Operation: 73-42=31 Current State: 99:[33, 97, 31], Operations: ['73-42=31'] Exploring Operation: 33+97=130, Resulting Numbers: [31, 130] Generated Node #3: [31, 130] from Operation: 33+97=130 Current State: 99:[31, 130], Operations: ['73-42=31', '33+97=130'] Exploring Operation: 130-31=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 56, 35, 77, 92 ]
69
[ "77-35=42", "92*42=3864", "3864/56=69" ]
Current State: 69:[56, 35, 77, 92], Operations: [] Exploring Operation: 77-35=42, Resulting Numbers: [56, 92, 42] Generated Node #2: [56, 92, 42] from Operation: 77-35=42 Current State: 69:[56, 92, 42], Operations: ['77-35=42'] Exploring Operation: 92*42=3864, Resulting Numbers: [56, 3864] Generated Node #3: [56, 3864] from Operation: 92*42=3864 Current State: 69:[56, 3864], Operations: ['77-35=42', '92*42=3864'] Exploring Operation: 3864/56=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 42, 21, 4, 63 ]
11
[ "42*4=168", "63+168=231", "231/21=11" ]
Current State: 11:[42, 21, 4, 63], Operations: [] Exploring Operation: 42*4=168, Resulting Numbers: [21, 63, 168] Generated Node #2: [21, 63, 168] from Operation: 42*4=168 Current State: 11:[21, 63, 168], Operations: ['42*4=168'] Exploring Operation: 63+168=231, Resulting Numbers: [21, 231] Generated Node #3: [21, 231] from Operation: 63+168=231 Current State: 11:[21, 231], Operations: ['42*4=168', '63+168=231'] Exploring Operation: 231/21=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 48, 45, 17, 75 ]
95
[ "48-45=3", "17+75=92", "3+92=95" ]
Current State: 95:[48, 45, 17, 75], Operations: [] Exploring Operation: 48-45=3, Resulting Numbers: [17, 75, 3] Generated Node #2: [17, 75, 3] from Operation: 48-45=3 Current State: 95:[17, 75, 3], Operations: ['48-45=3'] Exploring Operation: 17+75=92, Resulting Numbers: [3, 92] Generated Node #3: [3, 92] from Operation: 17+75=92 Current State: 95:[3, 92], Operations: ['48-45=3', '17+75=92'] Exploring Operation: 3+92=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 12, 21, 19, 56 ]
29
[ "19-12=7", "56/7=8", "21+8=29" ]
Current State: 29:[12, 21, 19, 56], Operations: [] Exploring Operation: 19-12=7, Resulting Numbers: [21, 56, 7] Generated Node #2: [21, 56, 7] from Operation: 19-12=7 Current State: 29:[21, 56, 7], Operations: ['19-12=7'] Exploring Operation: 56/7=8, Resulting Numbers: [21, 8] Generated Node #3: [21, 8] from Operation: 56/7=8 Current State: 29:[21, 8], Operations: ['19-12=7', '56/7=8'] Exploring Operation: 21+8=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 62, 92, 64, 85 ]
14
[ "64-62=2", "92-85=7", "2*7=14" ]
Current State: 14:[62, 92, 64, 85], Operations: [] Exploring Operation: 64-62=2, Resulting Numbers: [92, 85, 2] Generated Node #2: [92, 85, 2] from Operation: 64-62=2 Current State: 14:[92, 85, 2], Operations: ['64-62=2'] Exploring Operation: 92-85=7, Resulting Numbers: [2, 7] Generated Node #3: [2, 7] from Operation: 92-85=7 Current State: 14:[2, 7], Operations: ['64-62=2', '92-85=7'] Exploring Operation: 2*7=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 65, 29, 78, 80 ]
67
[ "78*80=6240", "6240/65=96", "96-29=67" ]
Current State: 67:[65, 29, 78, 80], Operations: [] Exploring Operation: 78*80=6240, Resulting Numbers: [65, 29, 6240] Generated Node #2: [65, 29, 6240] from Operation: 78*80=6240 Current State: 67:[65, 29, 6240], Operations: ['78*80=6240'] Exploring Operation: 6240/65=96, Resulting Numbers: [29, 96] Generated Node #3: [29, 96] from Operation: 6240/65=96 Current State: 67:[29, 96], Operations: ['78*80=6240', '6240/65=96'] Exploring Operation: 96-29=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 17, 5, 72, 55 ]
68
[ "17*5=85", "72-55=17", "85-17=68" ]
Current State: 68:[17, 5, 72, 55], Operations: [] Exploring Operation: 17*5=85, Resulting Numbers: [72, 55, 85] Generated Node #2: [72, 55, 85] from Operation: 17*5=85 Current State: 68:[72, 55, 85], Operations: ['17*5=85'] Exploring Operation: 72-55=17, Resulting Numbers: [85, 17] Generated Node #3: [85, 17] from Operation: 72-55=17 Current State: 68:[85, 17], Operations: ['17*5=85', '72-55=17'] Exploring Operation: 85-17=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 81, 28, 93, 2 ]
80
[ "81-28=53", "93-53=40", "2*40=80" ]
Current State: 80:[81, 28, 93, 2], Operations: [] Exploring Operation: 81-28=53, Resulting Numbers: [93, 2, 53] Generated Node #2: [93, 2, 53] from Operation: 81-28=53 Current State: 80:[93, 2, 53], Operations: ['81-28=53'] Exploring Operation: 93-53=40, Resulting Numbers: [2, 40] Generated Node #3: [2, 40] from Operation: 93-53=40 Current State: 80:[2, 40], Operations: ['81-28=53', '93-53=40'] Exploring Operation: 2*40=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4