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
[ 5, 44, 54, 73 ]
68
[ "5+44=49", "73-54=19", "49+19=68" ]
Current State: 68:[5, 44, 54, 73], Operations: [] Exploring Operation: 5+44=49, Resulting Numbers: [54, 73, 49] Generated Node #2: [54, 73, 49] from Operation: 5+44=49 Current State: 68:[54, 73, 49], Operations: ['5+44=49'] Exploring Operation: 73-54=19, Resulting Numbers: [49, 19] Generated Node #3: [49, 19] from Operation: 73-54=19 Current State: 68:[49, 19], Operations: ['5+44=49', '73-54=19'] Exploring Operation: 49+19=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 70, 6, 63, 65 ]
52
[ "70+6=76", "63+65=128", "128-76=52" ]
Current State: 52:[70, 6, 63, 65], Operations: [] Exploring Operation: 70+6=76, Resulting Numbers: [63, 65, 76] Generated Node #2: [63, 65, 76] from Operation: 70+6=76 Current State: 52:[63, 65, 76], Operations: ['70+6=76'] Exploring Operation: 63+65=128, Resulting Numbers: [76, 128] Generated Node #3: [76, 128] from Operation: 63+65=128 Current State: 52:[76, 128], Operations: ['70+6=76', '63+65=128'] Exploring Operation: 128-76=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 47, 27, 73, 77 ]
24
[ "47-27=20", "77-73=4", "20+4=24" ]
Current State: 24:[47, 27, 73, 77], Operations: [] Exploring Operation: 47-27=20, Resulting Numbers: [73, 77, 20] Generated Node #2: [73, 77, 20] from Operation: 47-27=20 Current State: 24:[73, 77, 20], Operations: ['47-27=20'] Exploring Operation: 77-73=4, Resulting Numbers: [20, 4] Generated Node #3: [20, 4] from Operation: 77-73=4 Current State: 24:[20, 4], Operations: ['47-27=20', '77-73=4'] Exploring Operation: 20+4=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 79, 95, 85, 60 ]
89
[ "79*95=7505", "60+7505=7565", "7565/85=89" ]
Current State: 89:[79, 95, 85, 60], Operations: [] Exploring Operation: 79*95=7505, Resulting Numbers: [85, 60, 7505] Generated Node #2: [85, 60, 7505] from Operation: 79*95=7505 Current State: 89:[85, 60, 7505], Operations: ['79*95=7505'] Exploring Operation: 60+7505=7565, Resulting Numbers: [85, 7565] Generated Node #3: [85, 7565] from Operation: 60+7505=7565 Current State: 89:[85, 7565], Operations: ['79*95=7505', '60+7505=7565'] Exploring Operation: 7565/85=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 50, 55, 25, 8 ]
65
[ "55-50=5", "8*5=40", "25+40=65" ]
Current State: 65:[50, 55, 25, 8], Operations: [] Exploring Operation: 55-50=5, Resulting Numbers: [25, 8, 5] Generated Node #2: [25, 8, 5] from Operation: 55-50=5 Current State: 65:[25, 8, 5], Operations: ['55-50=5'] Exploring Operation: 8*5=40, Resulting Numbers: [25, 40] Generated Node #3: [25, 40] from Operation: 8*5=40 Current State: 65:[25, 40], Operations: ['55-50=5', '8*5=40'] Exploring Operation: 25+40=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 39, 22, 68, 28 ]
34
[ "39-28=11", "22/11=2", "68/2=34" ]
Current State: 34:[39, 22, 68, 28], Operations: [] Exploring Operation: 39-28=11, Resulting Numbers: [22, 68, 11] Generated Node #2: [22, 68, 11] from Operation: 39-28=11 Current State: 34:[22, 68, 11], Operations: ['39-28=11'] Exploring Operation: 22/11=2, Resulting Numbers: [68, 2] Generated Node #3: [68, 2] from Operation: 22/11=2 Current State: 34:[68, 2], Operations: ['39-28=11', '22/11=2'] Exploring Operation: 68/2=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 48, 2, 68, 38 ]
48
[ "68-48=20", "20/2=10", "38+10=48" ]
Current State: 48:[48, 2, 68, 38], Operations: [] Exploring Operation: 68-48=20, Resulting Numbers: [2, 38, 20] Generated Node #2: [2, 38, 20] from Operation: 68-48=20 Current State: 48:[2, 38, 20], Operations: ['68-48=20'] Exploring Operation: 20/2=10, Resulting Numbers: [38, 10] Generated Node #3: [38, 10] from Operation: 20/2=10 Current State: 48:[38, 10], Operations: ['68-48=20', '20/2=10'] Exploring Operation: 38+10=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 11, 37, 36, 72 ]
50
[ "11+37=48", "72/36=2", "48+2=50" ]
Current State: 50:[11, 37, 36, 72], Operations: [] Exploring Operation: 11+37=48, Resulting Numbers: [36, 72, 48] Generated Node #2: [36, 72, 48] from Operation: 11+37=48 Current State: 50:[36, 72, 48], Operations: ['11+37=48'] Exploring Operation: 72/36=2, Resulting Numbers: [48, 2] Generated Node #3: [48, 2] from Operation: 72/36=2 Current State: 50:[48, 2], Operations: ['11+37=48', '72/36=2'] Exploring Operation: 48+2=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 66, 57, 95, 95 ]
57
[ "95-95=0", "66*0=0", "57+0=57" ]
Current State: 57:[66, 57, 95, 95], Operations: [] Exploring Operation: 95-95=0, Resulting Numbers: [66, 57, 0] Generated Node #2: [66, 57, 0] from Operation: 95-95=0 Current State: 57:[66, 57, 0], Operations: ['95-95=0'] Exploring Operation: 66*0=0, Resulting Numbers: [57, 0] Generated Node #3: [57, 0] from Operation: 66*0=0 Current State: 57:[57, 0], Operations: ['95-95=0', '66*0=0'] Exploring Operation: 57+0=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 31, 7, 81, 48 ]
79
[ "31-7=24", "48/24=2", "81-2=79" ]
Current State: 79:[31, 7, 81, 48], Operations: [] Exploring Operation: 31-7=24, Resulting Numbers: [81, 48, 24] Generated Node #2: [81, 48, 24] from Operation: 31-7=24 Current State: 79:[81, 48, 24], Operations: ['31-7=24'] Exploring Operation: 48/24=2, Resulting Numbers: [81, 2] Generated Node #3: [81, 2] from Operation: 48/24=2 Current State: 79:[81, 2], Operations: ['31-7=24', '48/24=2'] Exploring Operation: 81-2=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 36, 37, 60, 30 ]
75
[ "36+37=73", "60/30=2", "73+2=75" ]
Current State: 75:[36, 37, 60, 30], Operations: [] Exploring Operation: 36+37=73, Resulting Numbers: [60, 30, 73] Generated Node #2: [60, 30, 73] from Operation: 36+37=73 Current State: 75:[60, 30, 73], Operations: ['36+37=73'] Exploring Operation: 60/30=2, Resulting Numbers: [73, 2] Generated Node #3: [73, 2] from Operation: 60/30=2 Current State: 75:[73, 2], Operations: ['36+37=73', '60/30=2'] Exploring Operation: 73+2=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 60, 90, 34, 20 ]
71
[ "90*34=3060", "3060/60=51", "20+51=71" ]
Current State: 71:[60, 90, 34, 20], Operations: [] Exploring Operation: 90*34=3060, Resulting Numbers: [60, 20, 3060] Generated Node #2: [60, 20, 3060] from Operation: 90*34=3060 Current State: 71:[60, 20, 3060], Operations: ['90*34=3060'] Exploring Operation: 3060/60=51, Resulting Numbers: [20, 51] Generated Node #3: [20, 51] from Operation: 3060/60=51 Current State: 71:[20, 51], Operations: ['90*34=3060', '3060/60=51'] Exploring Operation: 20+51=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 17, 2, 24, 77 ]
35
[ "24-17=7", "77-7=70", "70/2=35" ]
Current State: 35:[17, 2, 24, 77], Operations: [] Exploring Operation: 24-17=7, Resulting Numbers: [2, 77, 7] Generated Node #2: [2, 77, 7] from Operation: 24-17=7 Current State: 35:[2, 77, 7], Operations: ['24-17=7'] Exploring Operation: 77-7=70, Resulting Numbers: [2, 70] Generated Node #3: [2, 70] from Operation: 77-7=70 Current State: 35:[2, 70], Operations: ['24-17=7', '77-7=70'] Exploring Operation: 70/2=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 73, 15, 34, 46 ]
76
[ "73+15=88", "46-34=12", "88-12=76" ]
Current State: 76:[73, 15, 34, 46], Operations: [] Exploring Operation: 73+15=88, Resulting Numbers: [34, 46, 88] Generated Node #2: [34, 46, 88] from Operation: 73+15=88 Current State: 76:[34, 46, 88], Operations: ['73+15=88'] Exploring Operation: 46-34=12, Resulting Numbers: [88, 12] Generated Node #3: [88, 12] from Operation: 46-34=12 Current State: 76:[88, 12], Operations: ['73+15=88', '46-34=12'] Exploring Operation: 88-12=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 65, 41, 35, 77 ]
88
[ "65-41=24", "35+77=112", "112-24=88" ]
Current State: 88:[65, 41, 35, 77], Operations: [] Exploring Operation: 65-41=24, Resulting Numbers: [35, 77, 24] Generated Node #2: [35, 77, 24] from Operation: 65-41=24 Current State: 88:[35, 77, 24], Operations: ['65-41=24'] Exploring Operation: 35+77=112, Resulting Numbers: [24, 112] Generated Node #3: [24, 112] from Operation: 35+77=112 Current State: 88:[24, 112], Operations: ['65-41=24', '35+77=112'] Exploring Operation: 112-24=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 78, 83, 35, 99 ]
15
[ "78*35=2730", "83+99=182", "2730/182=15" ]
Current State: 15:[78, 83, 35, 99], Operations: [] Exploring Operation: 78*35=2730, Resulting Numbers: [83, 99, 2730] Generated Node #2: [83, 99, 2730] from Operation: 78*35=2730 Current State: 15:[83, 99, 2730], Operations: ['78*35=2730'] Exploring Operation: 83+99=182, Resulting Numbers: [2730, 182] Generated Node #3: [2730, 182] from Operation: 83+99=182 Current State: 15:[2730, 182], Operations: ['78*35=2730', '83+99=182'] Exploring Operation: 2730/182=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 23, 44, 10, 29 ]
80
[ "44-23=21", "29-21=8", "10*8=80" ]
Current State: 80:[23, 44, 10, 29], Operations: [] Exploring Operation: 44-23=21, Resulting Numbers: [10, 29, 21] Generated Node #2: [10, 29, 21] from Operation: 44-23=21 Current State: 80:[10, 29, 21], Operations: ['44-23=21'] Exploring Operation: 29-21=8, Resulting Numbers: [10, 8] Generated Node #3: [10, 8] from Operation: 29-21=8 Current State: 80:[10, 8], Operations: ['44-23=21', '29-21=8'] Exploring Operation: 10*8=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 95, 86, 45, 2 ]
97
[ "95+45=140", "86/2=43", "140-43=97" ]
Current State: 97:[95, 86, 45, 2], Operations: [] Exploring Operation: 95+45=140, Resulting Numbers: [86, 2, 140] Generated Node #2: [86, 2, 140] from Operation: 95+45=140 Current State: 97:[86, 2, 140], Operations: ['95+45=140'] Exploring Operation: 86/2=43, Resulting Numbers: [140, 43] Generated Node #3: [140, 43] from Operation: 86/2=43 Current State: 97:[140, 43], Operations: ['95+45=140', '86/2=43'] Exploring Operation: 140-43=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 69, 92, 46, 97 ]
56
[ "97-69=28", "92/46=2", "28*2=56" ]
Current State: 56:[69, 92, 46, 97], Operations: [] Exploring Operation: 97-69=28, Resulting Numbers: [92, 46, 28] Generated Node #2: [92, 46, 28] from Operation: 97-69=28 Current State: 56:[92, 46, 28], Operations: ['97-69=28'] Exploring Operation: 92/46=2, Resulting Numbers: [28, 2] Generated Node #3: [28, 2] from Operation: 92/46=2 Current State: 56:[28, 2], Operations: ['97-69=28', '92/46=2'] Exploring Operation: 28*2=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 46, 22, 92, 3 ]
72
[ "46+22=68", "92-68=24", "3*24=72" ]
Current State: 72:[46, 22, 92, 3], Operations: [] Exploring Operation: 46+22=68, Resulting Numbers: [92, 3, 68] Generated Node #2: [92, 3, 68] from Operation: 46+22=68 Current State: 72:[92, 3, 68], Operations: ['46+22=68'] Exploring Operation: 92-68=24, Resulting Numbers: [3, 24] Generated Node #3: [3, 24] from Operation: 92-68=24 Current State: 72:[3, 24], Operations: ['46+22=68', '92-68=24'] Exploring Operation: 3*24=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 59, 25, 12, 14 ]
84
[ "59+25=84", "12*14=168", "168-84=84" ]
Current State: 84:[59, 25, 12, 14], Operations: [] Exploring Operation: 59+25=84, Resulting Numbers: [12, 14, 84] Generated Node #2: [12, 14, 84] from Operation: 59+25=84 Current State: 84:[12, 14, 84], Operations: ['59+25=84'] Exploring Operation: 12*14=168, Resulting Numbers: [84, 168] Generated Node #3: [84, 168] from Operation: 12*14=168 Current State: 84:[84, 168], Operations: ['59+25=84', '12*14=168'] Exploring Operation: 168-84=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 97, 80, 81, 91 ]
86
[ "97-81=16", "80/16=5", "91-5=86" ]
Current State: 86:[97, 80, 81, 91], Operations: [] Exploring Operation: 97-81=16, Resulting Numbers: [80, 91, 16] Generated Node #2: [80, 91, 16] from Operation: 97-81=16 Current State: 86:[80, 91, 16], Operations: ['97-81=16'] Exploring Operation: 80/16=5, Resulting Numbers: [91, 5] Generated Node #3: [91, 5] from Operation: 80/16=5 Current State: 86:[91, 5], Operations: ['97-81=16', '80/16=5'] Exploring Operation: 91-5=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 58, 72, 95, 53 ]
88
[ "58+72=130", "95-53=42", "130-42=88" ]
Current State: 88:[58, 72, 95, 53], Operations: [] Exploring Operation: 58+72=130, Resulting Numbers: [95, 53, 130] Generated Node #2: [95, 53, 130] from Operation: 58+72=130 Current State: 88:[95, 53, 130], Operations: ['58+72=130'] Exploring Operation: 95-53=42, Resulting Numbers: [130, 42] Generated Node #3: [130, 42] from Operation: 95-53=42 Current State: 88:[130, 42], Operations: ['58+72=130', '95-53=42'] Exploring Operation: 130-42=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 1, 60, 2, 46 ]
17
[ "1+60=61", "46-2=44", "61-44=17" ]
Current State: 17:[1, 60, 2, 46], Operations: [] Exploring Operation: 1+60=61, Resulting Numbers: [2, 46, 61] Generated Node #2: [2, 46, 61] from Operation: 1+60=61 Current State: 17:[2, 46, 61], Operations: ['1+60=61'] Exploring Operation: 46-2=44, Resulting Numbers: [61, 44] Generated Node #3: [61, 44] from Operation: 46-2=44 Current State: 17:[61, 44], Operations: ['1+60=61', '46-2=44'] Exploring Operation: 61-44=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 77, 48, 54, 63 ]
21
[ "48*63=3024", "3024/54=56", "77-56=21" ]
Current State: 21:[77, 48, 54, 63], Operations: [] Exploring Operation: 48*63=3024, Resulting Numbers: [77, 54, 3024] Generated Node #2: [77, 54, 3024] from Operation: 48*63=3024 Current State: 21:[77, 54, 3024], Operations: ['48*63=3024'] Exploring Operation: 3024/54=56, Resulting Numbers: [77, 56] Generated Node #3: [77, 56] from Operation: 3024/54=56 Current State: 21:[77, 56], Operations: ['48*63=3024', '3024/54=56'] Exploring Operation: 77-56=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 93, 4, 95, 70 ]
62
[ "95-93=2", "4*2=8", "70-8=62" ]
Current State: 62:[93, 4, 95, 70], Operations: [] Exploring Operation: 95-93=2, Resulting Numbers: [4, 70, 2] Generated Node #2: [4, 70, 2] from Operation: 95-93=2 Current State: 62:[4, 70, 2], Operations: ['95-93=2'] Exploring Operation: 4*2=8, Resulting Numbers: [70, 8] Generated Node #3: [70, 8] from Operation: 4*2=8 Current State: 62:[70, 8], Operations: ['95-93=2', '4*2=8'] Exploring Operation: 70-8=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 24, 30, 51, 26 ]
57
[ "30-26=4", "24/4=6", "51+6=57" ]
Current State: 57:[24, 30, 51, 26], Operations: [] Exploring Operation: 30-26=4, Resulting Numbers: [24, 51, 4] Generated Node #2: [24, 51, 4] from Operation: 30-26=4 Current State: 57:[24, 51, 4], Operations: ['30-26=4'] Exploring Operation: 24/4=6, Resulting Numbers: [51, 6] Generated Node #3: [51, 6] from Operation: 24/4=6 Current State: 57:[51, 6], Operations: ['30-26=4', '24/4=6'] Exploring Operation: 51+6=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 48, 85, 2, 27 ]
80
[ "48+85=133", "27+133=160", "160/2=80" ]
Current State: 80:[48, 85, 2, 27], Operations: [] Exploring Operation: 48+85=133, Resulting Numbers: [2, 27, 133] Generated Node #2: [2, 27, 133] from Operation: 48+85=133 Current State: 80:[2, 27, 133], Operations: ['48+85=133'] Exploring Operation: 27+133=160, Resulting Numbers: [2, 160] Generated Node #3: [2, 160] from Operation: 27+133=160 Current State: 80:[2, 160], Operations: ['48+85=133', '27+133=160'] Exploring Operation: 160/2=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 9, 24, 97, 30 ]
100
[ "9+24=33", "97-30=67", "33+67=100" ]
Current State: 100:[9, 24, 97, 30], Operations: [] Exploring Operation: 9+24=33, Resulting Numbers: [97, 30, 33] Generated Node #2: [97, 30, 33] from Operation: 9+24=33 Current State: 100:[97, 30, 33], Operations: ['9+24=33'] Exploring Operation: 97-30=67, Resulting Numbers: [33, 67] Generated Node #3: [33, 67] from Operation: 97-30=67 Current State: 100:[33, 67], Operations: ['9+24=33', '97-30=67'] Exploring Operation: 33+67=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 5, 64, 25, 3 ]
32
[ "25/5=5", "5-3=2", "64/2=32" ]
Current State: 32:[5, 64, 25, 3], Operations: [] Exploring Operation: 25/5=5, Resulting Numbers: [64, 3, 5] Generated Node #2: [64, 3, 5] from Operation: 25/5=5 Current State: 32:[64, 3, 5], Operations: ['25/5=5'] Exploring Operation: 5-3=2, Resulting Numbers: [64, 2] Generated Node #3: [64, 2] from Operation: 5-3=2 Current State: 32:[64, 2], Operations: ['25/5=5', '5-3=2'] Exploring Operation: 64/2=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 40, 6, 57, 44 ]
43
[ "40+44=84", "84/6=14", "57-14=43" ]
Current State: 43:[40, 6, 57, 44], Operations: [] Exploring Operation: 40+44=84, Resulting Numbers: [6, 57, 84] Generated Node #2: [6, 57, 84] from Operation: 40+44=84 Current State: 43:[6, 57, 84], Operations: ['40+44=84'] Exploring Operation: 84/6=14, Resulting Numbers: [57, 14] Generated Node #3: [57, 14] from Operation: 84/6=14 Current State: 43:[57, 14], Operations: ['40+44=84', '84/6=14'] Exploring Operation: 57-14=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 53, 4, 51, 78 ]
19
[ "53-51=2", "78-2=76", "76/4=19" ]
Current State: 19:[53, 4, 51, 78], Operations: [] Exploring Operation: 53-51=2, Resulting Numbers: [4, 78, 2] Generated Node #2: [4, 78, 2] from Operation: 53-51=2 Current State: 19:[4, 78, 2], Operations: ['53-51=2'] Exploring Operation: 78-2=76, Resulting Numbers: [4, 76] Generated Node #3: [4, 76] from Operation: 78-2=76 Current State: 19:[4, 76], Operations: ['53-51=2', '78-2=76'] Exploring Operation: 76/4=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 49, 69, 70, 39 ]
10
[ "49-39=10", "70-69=1", "10*1=10" ]
Current State: 10:[49, 69, 70, 39], Operations: [] Exploring Operation: 49-39=10, Resulting Numbers: [69, 70, 10] Generated Node #2: [69, 70, 10] from Operation: 49-39=10 Current State: 10:[69, 70, 10], Operations: ['49-39=10'] Exploring Operation: 70-69=1, Resulting Numbers: [10, 1] Generated Node #3: [10, 1] from Operation: 70-69=1 Current State: 10:[10, 1], Operations: ['49-39=10', '70-69=1'] Exploring Operation: 10*1=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 51, 69, 58, 63 ]
78
[ "58-51=7", "63/7=9", "69+9=78" ]
Current State: 78:[51, 69, 58, 63], Operations: [] Exploring Operation: 58-51=7, Resulting Numbers: [69, 63, 7] Generated Node #2: [69, 63, 7] from Operation: 58-51=7 Current State: 78:[69, 63, 7], Operations: ['58-51=7'] Exploring Operation: 63/7=9, Resulting Numbers: [69, 9] Generated Node #3: [69, 9] from Operation: 63/7=9 Current State: 78:[69, 9], Operations: ['58-51=7', '63/7=9'] Exploring Operation: 69+9=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 50, 3, 56, 21 ]
58
[ "3*56=168", "168/21=8", "50+8=58" ]
Current State: 58:[50, 3, 56, 21], Operations: [] Exploring Operation: 3*56=168, Resulting Numbers: [50, 21, 168] Generated Node #2: [50, 21, 168] from Operation: 3*56=168 Current State: 58:[50, 21, 168], Operations: ['3*56=168'] Exploring Operation: 168/21=8, Resulting Numbers: [50, 8] Generated Node #3: [50, 8] from Operation: 168/21=8 Current State: 58:[50, 8], Operations: ['3*56=168', '168/21=8'] Exploring Operation: 50+8=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 70, 37, 41, 31 ]
74
[ "70-41=29", "31-29=2", "37*2=74" ]
Current State: 74:[70, 37, 41, 31], Operations: [] Exploring Operation: 70-41=29, Resulting Numbers: [37, 31, 29] Generated Node #2: [37, 31, 29] from Operation: 70-41=29 Current State: 74:[37, 31, 29], Operations: ['70-41=29'] Exploring Operation: 31-29=2, Resulting Numbers: [37, 2] Generated Node #3: [37, 2] from Operation: 31-29=2 Current State: 74:[37, 2], Operations: ['70-41=29', '31-29=2'] Exploring Operation: 37*2=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 9, 7, 88, 52 ]
96
[ "9-7=2", "88/2=44", "52+44=96" ]
Current State: 96:[9, 7, 88, 52], Operations: [] Exploring Operation: 9-7=2, Resulting Numbers: [88, 52, 2] Generated Node #2: [88, 52, 2] from Operation: 9-7=2 Current State: 96:[88, 52, 2], Operations: ['9-7=2'] Exploring Operation: 88/2=44, Resulting Numbers: [52, 44] Generated Node #3: [52, 44] from Operation: 88/2=44 Current State: 96:[52, 44], Operations: ['9-7=2', '88/2=44'] Exploring Operation: 52+44=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 98, 82, 13, 26 ]
78
[ "98-82=16", "16-13=3", "26*3=78" ]
Current State: 78:[98, 82, 13, 26], Operations: [] Exploring Operation: 98-82=16, Resulting Numbers: [13, 26, 16] Generated Node #2: [13, 26, 16] from Operation: 98-82=16 Current State: 78:[13, 26, 16], Operations: ['98-82=16'] Exploring Operation: 16-13=3, Resulting Numbers: [26, 3] Generated Node #3: [26, 3] from Operation: 16-13=3 Current State: 78:[26, 3], Operations: ['98-82=16', '16-13=3'] Exploring Operation: 26*3=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 97, 75, 76, 12 ]
84
[ "97+75=172", "76+12=88", "172-88=84" ]
Current State: 84:[97, 75, 76, 12], Operations: [] Exploring Operation: 97+75=172, Resulting Numbers: [76, 12, 172] Generated Node #2: [76, 12, 172] from Operation: 97+75=172 Current State: 84:[76, 12, 172], Operations: ['97+75=172'] Exploring Operation: 76+12=88, Resulting Numbers: [172, 88] Generated Node #3: [172, 88] from Operation: 76+12=88 Current State: 84:[172, 88], Operations: ['97+75=172', '76+12=88'] Exploring Operation: 172-88=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 96, 81, 98, 66 ]
82
[ "81*98=7938", "7938-66=7872", "7872/96=82" ]
Current State: 82:[96, 81, 98, 66], Operations: [] Exploring Operation: 81*98=7938, Resulting Numbers: [96, 66, 7938] Generated Node #2: [96, 66, 7938] from Operation: 81*98=7938 Current State: 82:[96, 66, 7938], Operations: ['81*98=7938'] Exploring Operation: 7938-66=7872, Resulting Numbers: [96, 7872] Generated Node #3: [96, 7872] from Operation: 7938-66=7872 Current State: 82:[96, 7872], Operations: ['81*98=7938', '7938-66=7872'] Exploring Operation: 7872/96=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 57, 2, 33, 5 ]
21
[ "57+2=59", "33+5=38", "59-38=21" ]
Current State: 21:[57, 2, 33, 5], Operations: [] Exploring Operation: 57+2=59, Resulting Numbers: [33, 5, 59] Generated Node #2: [33, 5, 59] from Operation: 57+2=59 Current State: 21:[33, 5, 59], Operations: ['57+2=59'] Exploring Operation: 33+5=38, Resulting Numbers: [59, 38] Generated Node #3: [59, 38] from Operation: 33+5=38 Current State: 21:[59, 38], Operations: ['57+2=59', '33+5=38'] Exploring Operation: 59-38=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 48, 3, 65, 36 ]
52
[ "48-3=45", "65*36=2340", "2340/45=52" ]
Current State: 52:[48, 3, 65, 36], Operations: [] Exploring Operation: 48-3=45, Resulting Numbers: [65, 36, 45] Generated Node #2: [65, 36, 45] from Operation: 48-3=45 Current State: 52:[65, 36, 45], Operations: ['48-3=45'] Exploring Operation: 65*36=2340, Resulting Numbers: [45, 2340] Generated Node #3: [45, 2340] from Operation: 65*36=2340 Current State: 52:[45, 2340], Operations: ['48-3=45', '65*36=2340'] Exploring Operation: 2340/45=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 67, 39, 94, 79 ]
67
[ "67+39=106", "94+79=173", "173-106=67" ]
Current State: 67:[67, 39, 94, 79], Operations: [] Exploring Operation: 67+39=106, Resulting Numbers: [94, 79, 106] Generated Node #2: [94, 79, 106] from Operation: 67+39=106 Current State: 67:[94, 79, 106], Operations: ['67+39=106'] Exploring Operation: 94+79=173, Resulting Numbers: [106, 173] Generated Node #3: [106, 173] from Operation: 94+79=173 Current State: 67:[106, 173], Operations: ['67+39=106', '94+79=173'] Exploring Operation: 173-106=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 56, 92, 10, 15 ]
17
[ "56-10=46", "92/46=2", "15+2=17" ]
Current State: 17:[56, 92, 10, 15], Operations: [] Exploring Operation: 56-10=46, Resulting Numbers: [92, 15, 46] Generated Node #2: [92, 15, 46] from Operation: 56-10=46 Current State: 17:[92, 15, 46], Operations: ['56-10=46'] Exploring Operation: 92/46=2, Resulting Numbers: [15, 2] Generated Node #3: [15, 2] from Operation: 92/46=2 Current State: 17:[15, 2], Operations: ['56-10=46', '92/46=2'] Exploring Operation: 15+2=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 88, 2, 66, 9 ]
31
[ "88/2=44", "66+9=75", "75-44=31" ]
Current State: 31:[88, 2, 66, 9], Operations: [] Exploring Operation: 88/2=44, Resulting Numbers: [66, 9, 44] Generated Node #2: [66, 9, 44] from Operation: 88/2=44 Current State: 31:[66, 9, 44], Operations: ['88/2=44'] Exploring Operation: 66+9=75, Resulting Numbers: [44, 75] Generated Node #3: [44, 75] from Operation: 66+9=75 Current State: 31:[44, 75], Operations: ['88/2=44', '66+9=75'] Exploring Operation: 75-44=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 42, 14, 50, 33 ]
27
[ "42+14=56", "50+33=83", "83-56=27" ]
Current State: 27:[42, 14, 50, 33], Operations: [] Exploring Operation: 42+14=56, Resulting Numbers: [50, 33, 56] Generated Node #2: [50, 33, 56] from Operation: 42+14=56 Current State: 27:[50, 33, 56], Operations: ['42+14=56'] Exploring Operation: 50+33=83, Resulting Numbers: [56, 83] Generated Node #3: [56, 83] from Operation: 50+33=83 Current State: 27:[56, 83], Operations: ['42+14=56', '50+33=83'] Exploring Operation: 83-56=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 25, 5, 49, 85 ]
61
[ "85-25=60", "60/5=12", "49+12=61" ]
Current State: 61:[25, 5, 49, 85], Operations: [] Exploring Operation: 85-25=60, Resulting Numbers: [5, 49, 60] Generated Node #2: [5, 49, 60] from Operation: 85-25=60 Current State: 61:[5, 49, 60], Operations: ['85-25=60'] Exploring Operation: 60/5=12, Resulting Numbers: [49, 12] Generated Node #3: [49, 12] from Operation: 60/5=12 Current State: 61:[49, 12], Operations: ['85-25=60', '60/5=12'] Exploring Operation: 49+12=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 70, 53, 9, 31 ]
72
[ "53+9=62", "62/31=2", "70+2=72" ]
Current State: 72:[70, 53, 9, 31], Operations: [] Exploring Operation: 53+9=62, Resulting Numbers: [70, 31, 62] Generated Node #2: [70, 31, 62] from Operation: 53+9=62 Current State: 72:[70, 31, 62], Operations: ['53+9=62'] Exploring Operation: 62/31=2, Resulting Numbers: [70, 2] Generated Node #3: [70, 2] from Operation: 62/31=2 Current State: 72:[70, 2], Operations: ['53+9=62', '62/31=2'] Exploring Operation: 70+2=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 57, 23, 2, 76 ]
42
[ "57+23=80", "76/2=38", "80-38=42" ]
Current State: 42:[57, 23, 2, 76], Operations: [] Exploring Operation: 57+23=80, Resulting Numbers: [2, 76, 80] Generated Node #2: [2, 76, 80] from Operation: 57+23=80 Current State: 42:[2, 76, 80], Operations: ['57+23=80'] Exploring Operation: 76/2=38, Resulting Numbers: [80, 38] Generated Node #3: [80, 38] from Operation: 76/2=38 Current State: 42:[80, 38], Operations: ['57+23=80', '76/2=38'] Exploring Operation: 80-38=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 9, 61, 64, 33 ]
21
[ "61-9=52", "64-33=31", "52-31=21" ]
Current State: 21:[9, 61, 64, 33], Operations: [] Exploring Operation: 61-9=52, Resulting Numbers: [64, 33, 52] Generated Node #2: [64, 33, 52] from Operation: 61-9=52 Current State: 21:[64, 33, 52], Operations: ['61-9=52'] Exploring Operation: 64-33=31, Resulting Numbers: [52, 31] Generated Node #3: [52, 31] from Operation: 64-33=31 Current State: 21:[52, 31], Operations: ['61-9=52', '64-33=31'] Exploring Operation: 52-31=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 18, 59, 14, 69 ]
22
[ "18+59=77", "69-14=55", "77-55=22" ]
Current State: 22:[18, 59, 14, 69], Operations: [] Exploring Operation: 18+59=77, Resulting Numbers: [14, 69, 77] Generated Node #2: [14, 69, 77] from Operation: 18+59=77 Current State: 22:[14, 69, 77], Operations: ['18+59=77'] Exploring Operation: 69-14=55, Resulting Numbers: [77, 55] Generated Node #3: [77, 55] from Operation: 69-14=55 Current State: 22:[77, 55], Operations: ['18+59=77', '69-14=55'] Exploring Operation: 77-55=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 66, 42, 21, 9 ]
54
[ "66-42=24", "21+9=30", "24+30=54" ]
Current State: 54:[66, 42, 21, 9], Operations: [] Exploring Operation: 66-42=24, Resulting Numbers: [21, 9, 24] Generated Node #2: [21, 9, 24] from Operation: 66-42=24 Current State: 54:[21, 9, 24], Operations: ['66-42=24'] Exploring Operation: 21+9=30, Resulting Numbers: [24, 30] Generated Node #3: [24, 30] from Operation: 21+9=30 Current State: 54:[24, 30], Operations: ['66-42=24', '21+9=30'] Exploring Operation: 24+30=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 93, 13, 17, 27 ]
15
[ "17-13=4", "27*4=108", "108-93=15" ]
Current State: 15:[93, 13, 17, 27], Operations: [] Exploring Operation: 17-13=4, Resulting Numbers: [93, 27, 4] Generated Node #2: [93, 27, 4] from Operation: 17-13=4 Current State: 15:[93, 27, 4], Operations: ['17-13=4'] Exploring Operation: 27*4=108, Resulting Numbers: [93, 108] Generated Node #3: [93, 108] from Operation: 27*4=108 Current State: 15:[93, 108], Operations: ['17-13=4', '27*4=108'] Exploring Operation: 108-93=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 60, 33, 47, 46 ]
92
[ "60+33=93", "47-46=1", "93-1=92" ]
Current State: 92:[60, 33, 47, 46], Operations: [] Exploring Operation: 60+33=93, Resulting Numbers: [47, 46, 93] Generated Node #2: [47, 46, 93] from Operation: 60+33=93 Current State: 92:[47, 46, 93], Operations: ['60+33=93'] Exploring Operation: 47-46=1, Resulting Numbers: [93, 1] Generated Node #3: [93, 1] from Operation: 47-46=1 Current State: 92:[93, 1], Operations: ['60+33=93', '47-46=1'] Exploring Operation: 93-1=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 18, 90, 29, 84 ]
79
[ "90-84=6", "18*6=108", "108-29=79" ]
Current State: 79:[18, 90, 29, 84], Operations: [] Exploring Operation: 90-84=6, Resulting Numbers: [18, 29, 6] Generated Node #2: [18, 29, 6] from Operation: 90-84=6 Current State: 79:[18, 29, 6], Operations: ['90-84=6'] Exploring Operation: 18*6=108, Resulting Numbers: [29, 108] Generated Node #3: [29, 108] from Operation: 18*6=108 Current State: 79:[29, 108], Operations: ['90-84=6', '18*6=108'] Exploring Operation: 108-29=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 33, 60, 46, 5 ]
91
[ "33+46=79", "60/5=12", "79+12=91" ]
Current State: 91:[33, 60, 46, 5], Operations: [] Exploring Operation: 33+46=79, Resulting Numbers: [60, 5, 79] Generated Node #2: [60, 5, 79] from Operation: 33+46=79 Current State: 91:[60, 5, 79], Operations: ['33+46=79'] Exploring Operation: 60/5=12, Resulting Numbers: [79, 12] Generated Node #3: [79, 12] from Operation: 60/5=12 Current State: 91:[79, 12], Operations: ['33+46=79', '60/5=12'] Exploring Operation: 79+12=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 59, 60, 6, 86 ]
79
[ "60-59=1", "86-6=80", "80-1=79" ]
Current State: 79:[59, 60, 6, 86], Operations: [] Exploring Operation: 60-59=1, Resulting Numbers: [6, 86, 1] Generated Node #2: [6, 86, 1] from Operation: 60-59=1 Current State: 79:[6, 86, 1], Operations: ['60-59=1'] Exploring Operation: 86-6=80, Resulting Numbers: [1, 80] Generated Node #3: [1, 80] from Operation: 86-6=80 Current State: 79:[1, 80], Operations: ['60-59=1', '86-6=80'] Exploring Operation: 80-1=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 41, 65, 54, 75 ]
80
[ "54-41=13", "65/13=5", "75+5=80" ]
Current State: 80:[41, 65, 54, 75], Operations: [] Exploring Operation: 54-41=13, Resulting Numbers: [65, 75, 13] Generated Node #2: [65, 75, 13] from Operation: 54-41=13 Current State: 80:[65, 75, 13], Operations: ['54-41=13'] Exploring Operation: 65/13=5, Resulting Numbers: [75, 5] Generated Node #3: [75, 5] from Operation: 65/13=5 Current State: 80:[75, 5], Operations: ['54-41=13', '65/13=5'] Exploring Operation: 75+5=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 94, 2, 83, 75 ]
27
[ "94+83=177", "2*75=150", "177-150=27" ]
Current State: 27:[94, 2, 83, 75], Operations: [] Exploring Operation: 94+83=177, Resulting Numbers: [2, 75, 177] Generated Node #2: [2, 75, 177] from Operation: 94+83=177 Current State: 27:[2, 75, 177], Operations: ['94+83=177'] Exploring Operation: 2*75=150, Resulting Numbers: [177, 150] Generated Node #3: [177, 150] from Operation: 2*75=150 Current State: 27:[177, 150], Operations: ['94+83=177', '2*75=150'] Exploring Operation: 177-150=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 95, 5, 71, 44 ]
72
[ "71+44=115", "115/5=23", "95-23=72" ]
Current State: 72:[95, 5, 71, 44], Operations: [] Exploring Operation: 71+44=115, Resulting Numbers: [95, 5, 115] Generated Node #2: [95, 5, 115] from Operation: 71+44=115 Current State: 72:[95, 5, 115], Operations: ['71+44=115'] Exploring Operation: 115/5=23, Resulting Numbers: [95, 23] Generated Node #3: [95, 23] from Operation: 115/5=23 Current State: 72:[95, 23], Operations: ['71+44=115', '115/5=23'] Exploring Operation: 95-23=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 43, 1, 5, 2 ]
92
[ "43*2=86", "1+5=6", "86+6=92" ]
Current State: 92:[43, 1, 5, 2], Operations: [] Exploring Operation: 43*2=86, Resulting Numbers: [1, 5, 86] Generated Node #2: [1, 5, 86] from Operation: 43*2=86 Current State: 92:[1, 5, 86], Operations: ['43*2=86'] Exploring Operation: 1+5=6, Resulting Numbers: [86, 6] Generated Node #3: [86, 6] from Operation: 1+5=6 Current State: 92:[86, 6], Operations: ['43*2=86', '1+5=6'] Exploring Operation: 86+6=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 22, 7, 73, 36 ]
66
[ "22+7=29", "73-36=37", "29+37=66" ]
Current State: 66:[22, 7, 73, 36], Operations: [] Exploring Operation: 22+7=29, Resulting Numbers: [73, 36, 29] Generated Node #2: [73, 36, 29] from Operation: 22+7=29 Current State: 66:[73, 36, 29], Operations: ['22+7=29'] Exploring Operation: 73-36=37, Resulting Numbers: [29, 37] Generated Node #3: [29, 37] from Operation: 73-36=37 Current State: 66:[29, 37], Operations: ['22+7=29', '73-36=37'] Exploring Operation: 29+37=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 7, 56, 88, 63 ]
87
[ "7+56=63", "63/63=1", "88-1=87" ]
Current State: 87:[7, 56, 88, 63], Operations: [] Exploring Operation: 7+56=63, Resulting Numbers: [88, 63, 63] Generated Node #2: [88, 63, 63] from Operation: 7+56=63 Current State: 87:[88, 63, 63], Operations: ['7+56=63'] Exploring Operation: 63/63=1, Resulting Numbers: [88, 1] Generated Node #3: [88, 1] from Operation: 63/63=1 Current State: 87:[88, 1], Operations: ['7+56=63', '63/63=1'] Exploring Operation: 88-1=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 51, 2, 79, 73 ]
48
[ "79-73=6", "6/2=3", "51-3=48" ]
Current State: 48:[51, 2, 79, 73], Operations: [] Exploring Operation: 79-73=6, Resulting Numbers: [51, 2, 6] Generated Node #2: [51, 2, 6] from Operation: 79-73=6 Current State: 48:[51, 2, 6], Operations: ['79-73=6'] Exploring Operation: 6/2=3, Resulting Numbers: [51, 3] Generated Node #3: [51, 3] from Operation: 6/2=3 Current State: 48:[51, 3], Operations: ['79-73=6', '6/2=3'] Exploring Operation: 51-3=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 50, 9, 64, 79 ]
84
[ "50+9=59", "64+79=143", "143-59=84" ]
Current State: 84:[50, 9, 64, 79], Operations: [] Exploring Operation: 50+9=59, Resulting Numbers: [64, 79, 59] Generated Node #2: [64, 79, 59] from Operation: 50+9=59 Current State: 84:[64, 79, 59], Operations: ['50+9=59'] Exploring Operation: 64+79=143, Resulting Numbers: [59, 143] Generated Node #3: [59, 143] from Operation: 64+79=143 Current State: 84:[59, 143], Operations: ['50+9=59', '64+79=143'] Exploring Operation: 143-59=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 47, 45, 56, 55 ]
91
[ "47+45=92", "56-55=1", "92-1=91" ]
Current State: 91:[47, 45, 56, 55], Operations: [] Exploring Operation: 47+45=92, Resulting Numbers: [56, 55, 92] Generated Node #2: [56, 55, 92] from Operation: 47+45=92 Current State: 91:[56, 55, 92], Operations: ['47+45=92'] Exploring Operation: 56-55=1, Resulting Numbers: [92, 1] Generated Node #3: [92, 1] from Operation: 56-55=1 Current State: 91:[92, 1], Operations: ['47+45=92', '56-55=1'] Exploring Operation: 92-1=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 78, 66, 33, 88 ]
65
[ "88-33=55", "78*55=4290", "4290/66=65" ]
Current State: 65:[78, 66, 33, 88], Operations: [] Exploring Operation: 88-33=55, Resulting Numbers: [78, 66, 55] Generated Node #2: [78, 66, 55] from Operation: 88-33=55 Current State: 65:[78, 66, 55], Operations: ['88-33=55'] Exploring Operation: 78*55=4290, Resulting Numbers: [66, 4290] Generated Node #3: [66, 4290] from Operation: 78*55=4290 Current State: 65:[66, 4290], Operations: ['88-33=55', '78*55=4290'] Exploring Operation: 4290/66=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 80, 27, 72, 80 ]
37
[ "80-72=8", "80/8=10", "27+10=37" ]
Current State: 37:[80, 27, 72, 80], Operations: [] Exploring Operation: 80-72=8, Resulting Numbers: [27, 8] Generated Node #2: [27, 8] from Operation: 80-72=8 Current State: 37:[27, 8], Operations: ['80-72=8'] Exploring Operation: 80/8=10, Resulting Numbers: [27, 10] Generated Node #3: [27, 10] from Operation: 80/8=10 Current State: 37:[27, 10], Operations: ['80-72=8', '80/8=10'] Exploring Operation: 27+10=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 94, 80, 74, 51 ]
37
[ "94-80=14", "74-51=23", "14+23=37" ]
Current State: 37:[94, 80, 74, 51], Operations: [] Exploring Operation: 94-80=14, Resulting Numbers: [74, 51, 14] Generated Node #2: [74, 51, 14] from Operation: 94-80=14 Current State: 37:[74, 51, 14], Operations: ['94-80=14'] Exploring Operation: 74-51=23, Resulting Numbers: [14, 23] Generated Node #3: [14, 23] from Operation: 74-51=23 Current State: 37:[14, 23], Operations: ['94-80=14', '74-51=23'] Exploring Operation: 14+23=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 89, 64, 35, 50 ]
40
[ "89-64=25", "50-35=15", "25+15=40" ]
Current State: 40:[89, 64, 35, 50], Operations: [] Exploring Operation: 89-64=25, Resulting Numbers: [35, 50, 25] Generated Node #2: [35, 50, 25] from Operation: 89-64=25 Current State: 40:[35, 50, 25], Operations: ['89-64=25'] Exploring Operation: 50-35=15, Resulting Numbers: [25, 15] Generated Node #3: [25, 15] from Operation: 50-35=15 Current State: 40:[25, 15], Operations: ['89-64=25', '50-35=15'] Exploring Operation: 25+15=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 39, 10, 8, 9 ]
41
[ "10+8=18", "18/9=2", "39+2=41" ]
Current State: 41:[39, 10, 8, 9], Operations: [] Exploring Operation: 10+8=18, Resulting Numbers: [39, 9, 18] Generated Node #2: [39, 9, 18] from Operation: 10+8=18 Current State: 41:[39, 9, 18], Operations: ['10+8=18'] Exploring Operation: 18/9=2, Resulting Numbers: [39, 2] Generated Node #3: [39, 2] from Operation: 18/9=2 Current State: 41:[39, 2], Operations: ['10+8=18', '18/9=2'] Exploring Operation: 39+2=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 21, 69, 60, 59 ]
49
[ "69-21=48", "60-59=1", "48+1=49" ]
Current State: 49:[21, 69, 60, 59], Operations: [] Exploring Operation: 69-21=48, Resulting Numbers: [60, 59, 48] Generated Node #2: [60, 59, 48] from Operation: 69-21=48 Current State: 49:[60, 59, 48], Operations: ['69-21=48'] Exploring Operation: 60-59=1, Resulting Numbers: [48, 1] Generated Node #3: [48, 1] from Operation: 60-59=1 Current State: 49:[48, 1], Operations: ['69-21=48', '60-59=1'] Exploring Operation: 48+1=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 37, 3, 18, 35 ]
42
[ "37+35=72", "72/3=24", "18+24=42" ]
Current State: 42:[37, 3, 18, 35], Operations: [] Exploring Operation: 37+35=72, Resulting Numbers: [3, 18, 72] Generated Node #2: [3, 18, 72] from Operation: 37+35=72 Current State: 42:[3, 18, 72], Operations: ['37+35=72'] Exploring Operation: 72/3=24, Resulting Numbers: [18, 24] Generated Node #3: [18, 24] from Operation: 72/3=24 Current State: 42:[18, 24], Operations: ['37+35=72', '72/3=24'] Exploring Operation: 18+24=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 1, 57, 95, 51 ]
30
[ "51-1=50", "57*50=2850", "2850/95=30" ]
Current State: 30:[1, 57, 95, 51], Operations: [] Exploring Operation: 51-1=50, Resulting Numbers: [57, 95, 50] Generated Node #2: [57, 95, 50] from Operation: 51-1=50 Current State: 30:[57, 95, 50], Operations: ['51-1=50'] Exploring Operation: 57*50=2850, Resulting Numbers: [95, 2850] Generated Node #3: [95, 2850] from Operation: 57*50=2850 Current State: 30:[95, 2850], Operations: ['51-1=50', '57*50=2850'] Exploring Operation: 2850/95=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 99, 35, 72, 44 ]
52
[ "99-35=64", "72+44=116", "116-64=52" ]
Current State: 52:[99, 35, 72, 44], Operations: [] Exploring Operation: 99-35=64, Resulting Numbers: [72, 44, 64] Generated Node #2: [72, 44, 64] from Operation: 99-35=64 Current State: 52:[72, 44, 64], Operations: ['99-35=64'] Exploring Operation: 72+44=116, Resulting Numbers: [64, 116] Generated Node #3: [64, 116] from Operation: 72+44=116 Current State: 52:[64, 116], Operations: ['99-35=64', '72+44=116'] Exploring Operation: 116-64=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 57, 46, 25, 66 ]
31
[ "57-46=11", "66/11=6", "25+6=31" ]
Current State: 31:[57, 46, 25, 66], Operations: [] Exploring Operation: 57-46=11, Resulting Numbers: [25, 66, 11] Generated Node #2: [25, 66, 11] from Operation: 57-46=11 Current State: 31:[25, 66, 11], Operations: ['57-46=11'] Exploring Operation: 66/11=6, Resulting Numbers: [25, 6] Generated Node #3: [25, 6] from Operation: 66/11=6 Current State: 31:[25, 6], Operations: ['57-46=11', '66/11=6'] Exploring Operation: 25+6=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 7, 33, 51, 9 ]
16
[ "33-7=26", "51-9=42", "42-26=16" ]
Current State: 16:[7, 33, 51, 9], Operations: [] Exploring Operation: 33-7=26, Resulting Numbers: [51, 9, 26] Generated Node #2: [51, 9, 26] from Operation: 33-7=26 Current State: 16:[51, 9, 26], Operations: ['33-7=26'] Exploring Operation: 51-9=42, Resulting Numbers: [26, 42] Generated Node #3: [26, 42] from Operation: 51-9=42 Current State: 16:[26, 42], Operations: ['33-7=26', '51-9=42'] Exploring Operation: 42-26=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 62, 91, 79, 89 ]
39
[ "91-62=29", "89-79=10", "29+10=39" ]
Current State: 39:[62, 91, 79, 89], Operations: [] Exploring Operation: 91-62=29, Resulting Numbers: [79, 89, 29] Generated Node #2: [79, 89, 29] from Operation: 91-62=29 Current State: 39:[79, 89, 29], Operations: ['91-62=29'] Exploring Operation: 89-79=10, Resulting Numbers: [29, 10] Generated Node #3: [29, 10] from Operation: 89-79=10 Current State: 39:[29, 10], Operations: ['91-62=29', '89-79=10'] Exploring Operation: 29+10=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 2, 4, 90, 20 ]
28
[ "2+90=92", "20+92=112", "112/4=28" ]
Current State: 28:[2, 4, 90, 20], Operations: [] Exploring Operation: 2+90=92, Resulting Numbers: [4, 20, 92] Generated Node #2: [4, 20, 92] from Operation: 2+90=92 Current State: 28:[4, 20, 92], Operations: ['2+90=92'] Exploring Operation: 20+92=112, Resulting Numbers: [4, 112] Generated Node #3: [4, 112] from Operation: 20+92=112 Current State: 28:[4, 112], Operations: ['2+90=92', '20+92=112'] Exploring Operation: 112/4=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 77, 88, 93, 99 ]
91
[ "77+99=176", "176/88=2", "93-2=91" ]
Current State: 91:[77, 88, 93, 99], Operations: [] Exploring Operation: 77+99=176, Resulting Numbers: [88, 93, 176] Generated Node #2: [88, 93, 176] from Operation: 77+99=176 Current State: 91:[88, 93, 176], Operations: ['77+99=176'] Exploring Operation: 176/88=2, Resulting Numbers: [93, 2] Generated Node #3: [93, 2] from Operation: 176/88=2 Current State: 91:[93, 2], Operations: ['77+99=176', '176/88=2'] Exploring Operation: 93-2=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 4, 31, 7, 71 ]
22
[ "7-4=3", "31*3=93", "93-71=22" ]
Current State: 22:[4, 31, 7, 71], Operations: [] Exploring Operation: 7-4=3, Resulting Numbers: [31, 71, 3] Generated Node #2: [31, 71, 3] from Operation: 7-4=3 Current State: 22:[31, 71, 3], Operations: ['7-4=3'] Exploring Operation: 31*3=93, Resulting Numbers: [71, 93] Generated Node #3: [71, 93] from Operation: 31*3=93 Current State: 22:[71, 93], Operations: ['7-4=3', '31*3=93'] Exploring Operation: 93-71=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 9, 11, 67, 5 ]
92
[ "9+11=20", "67+5=72", "20+72=92" ]
Current State: 92:[9, 11, 67, 5], Operations: [] Exploring Operation: 9+11=20, Resulting Numbers: [67, 5, 20] Generated Node #2: [67, 5, 20] from Operation: 9+11=20 Current State: 92:[67, 5, 20], Operations: ['9+11=20'] Exploring Operation: 67+5=72, Resulting Numbers: [20, 72] Generated Node #3: [20, 72] from Operation: 67+5=72 Current State: 92:[20, 72], Operations: ['9+11=20', '67+5=72'] Exploring Operation: 20+72=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 32, 15, 22, 11 ]
62
[ "15*22=330", "330/11=30", "32+30=62" ]
Current State: 62:[32, 15, 22, 11], Operations: [] Exploring Operation: 15*22=330, Resulting Numbers: [32, 11, 330] Generated Node #2: [32, 11, 330] from Operation: 15*22=330 Current State: 62:[32, 11, 330], Operations: ['15*22=330'] Exploring Operation: 330/11=30, Resulting Numbers: [32, 30] Generated Node #3: [32, 30] from Operation: 330/11=30 Current State: 62:[32, 30], Operations: ['15*22=330', '330/11=30'] Exploring Operation: 32+30=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 45, 92, 59, 10 ]
60
[ "45*92=4140", "59+10=69", "4140/69=60" ]
Current State: 60:[45, 92, 59, 10], Operations: [] Exploring Operation: 45*92=4140, Resulting Numbers: [59, 10, 4140] Generated Node #2: [59, 10, 4140] from Operation: 45*92=4140 Current State: 60:[59, 10, 4140], Operations: ['45*92=4140'] Exploring Operation: 59+10=69, Resulting Numbers: [4140, 69] Generated Node #3: [4140, 69] from Operation: 59+10=69 Current State: 60:[4140, 69], Operations: ['45*92=4140', '59+10=69'] Exploring Operation: 4140/69=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 64, 99, 82, 31 ]
50
[ "64+99=163", "82+31=113", "163-113=50" ]
Current State: 50:[64, 99, 82, 31], Operations: [] Exploring Operation: 64+99=163, Resulting Numbers: [82, 31, 163] Generated Node #2: [82, 31, 163] from Operation: 64+99=163 Current State: 50:[82, 31, 163], Operations: ['64+99=163'] Exploring Operation: 82+31=113, Resulting Numbers: [163, 113] Generated Node #3: [163, 113] from Operation: 82+31=113 Current State: 50:[163, 113], Operations: ['64+99=163', '82+31=113'] Exploring Operation: 163-113=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 2, 90, 9, 33 ]
86
[ "90/9=10", "33+10=43", "2*43=86" ]
Current State: 86:[2, 90, 9, 33], Operations: [] Exploring Operation: 90/9=10, Resulting Numbers: [2, 33, 10] Generated Node #2: [2, 33, 10] from Operation: 90/9=10 Current State: 86:[2, 33, 10], Operations: ['90/9=10'] Exploring Operation: 33+10=43, Resulting Numbers: [2, 43] Generated Node #3: [2, 43] from Operation: 33+10=43 Current State: 86:[2, 43], Operations: ['90/9=10', '33+10=43'] Exploring Operation: 2*43=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 61, 32, 80, 85 ]
34
[ "61-32=29", "85-80=5", "29+5=34" ]
Current State: 34:[61, 32, 80, 85], Operations: [] Exploring Operation: 61-32=29, Resulting Numbers: [80, 85, 29] Generated Node #2: [80, 85, 29] from Operation: 61-32=29 Current State: 34:[80, 85, 29], Operations: ['61-32=29'] Exploring Operation: 85-80=5, Resulting Numbers: [29, 5] Generated Node #3: [29, 5] from Operation: 85-80=5 Current State: 34:[29, 5], Operations: ['61-32=29', '85-80=5'] Exploring Operation: 29+5=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 24, 4, 59, 44 ]
13
[ "24+4=28", "59-44=15", "28-15=13" ]
Current State: 13:[24, 4, 59, 44], Operations: [] Exploring Operation: 24+4=28, Resulting Numbers: [59, 44, 28] Generated Node #2: [59, 44, 28] from Operation: 24+4=28 Current State: 13:[59, 44, 28], Operations: ['24+4=28'] Exploring Operation: 59-44=15, Resulting Numbers: [28, 15] Generated Node #3: [28, 15] from Operation: 59-44=15 Current State: 13:[28, 15], Operations: ['24+4=28', '59-44=15'] Exploring Operation: 28-15=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 91, 97, 83, 2 ]
95
[ "97-91=6", "2*6=12", "83+12=95" ]
Current State: 95:[91, 97, 83, 2], Operations: [] Exploring Operation: 97-91=6, Resulting Numbers: [83, 2, 6] Generated Node #2: [83, 2, 6] from Operation: 97-91=6 Current State: 95:[83, 2, 6], Operations: ['97-91=6'] Exploring Operation: 2*6=12, Resulting Numbers: [83, 12] Generated Node #3: [83, 12] from Operation: 2*6=12 Current State: 95:[83, 12], Operations: ['97-91=6', '2*6=12'] Exploring Operation: 83+12=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 60, 5, 46, 3 ]
10
[ "60/5=12", "3*12=36", "46-36=10" ]
Current State: 10:[60, 5, 46, 3], Operations: [] Exploring Operation: 60/5=12, Resulting Numbers: [46, 3, 12] Generated Node #2: [46, 3, 12] from Operation: 60/5=12 Current State: 10:[46, 3, 12], Operations: ['60/5=12'] Exploring Operation: 3*12=36, Resulting Numbers: [46, 36] Generated Node #3: [46, 36] from Operation: 3*12=36 Current State: 10:[46, 36], Operations: ['60/5=12', '3*12=36'] Exploring Operation: 46-36=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 33, 36, 21, 66 ]
99
[ "33+21=54", "66*54=3564", "3564/36=99" ]
Current State: 99:[33, 36, 21, 66], Operations: [] Exploring Operation: 33+21=54, Resulting Numbers: [36, 66, 54] Generated Node #2: [36, 66, 54] from Operation: 33+21=54 Current State: 99:[36, 66, 54], Operations: ['33+21=54'] Exploring Operation: 66*54=3564, Resulting Numbers: [36, 3564] Generated Node #3: [36, 3564] from Operation: 66*54=3564 Current State: 99:[36, 3564], Operations: ['33+21=54', '66*54=3564'] Exploring Operation: 3564/36=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 90, 39, 13, 98 ]
65
[ "98-90=8", "13*8=104", "104-39=65" ]
Current State: 65:[90, 39, 13, 98], Operations: [] Exploring Operation: 98-90=8, Resulting Numbers: [39, 13, 8] Generated Node #2: [39, 13, 8] from Operation: 98-90=8 Current State: 65:[39, 13, 8], Operations: ['98-90=8'] Exploring Operation: 13*8=104, Resulting Numbers: [39, 104] Generated Node #3: [39, 104] from Operation: 13*8=104 Current State: 65:[39, 104], Operations: ['98-90=8', '13*8=104'] Exploring Operation: 104-39=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 91, 7, 48, 60 ]
95
[ "91/7=13", "48+60=108", "108-13=95" ]
Current State: 95:[91, 7, 48, 60], Operations: [] Exploring Operation: 91/7=13, Resulting Numbers: [48, 60, 13] Generated Node #2: [48, 60, 13] from Operation: 91/7=13 Current State: 95:[48, 60, 13], Operations: ['91/7=13'] Exploring Operation: 48+60=108, Resulting Numbers: [13, 108] Generated Node #3: [13, 108] from Operation: 48+60=108 Current State: 95:[13, 108], Operations: ['91/7=13', '48+60=108'] Exploring Operation: 108-13=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 80, 81, 62, 38 ]
40
[ "81-62=19", "80*19=1520", "1520/38=40" ]
Current State: 40:[80, 81, 62, 38], Operations: [] Exploring Operation: 81-62=19, Resulting Numbers: [80, 38, 19] Generated Node #2: [80, 38, 19] from Operation: 81-62=19 Current State: 40:[80, 38, 19], Operations: ['81-62=19'] Exploring Operation: 80*19=1520, Resulting Numbers: [38, 1520] Generated Node #3: [38, 1520] from Operation: 80*19=1520 Current State: 40:[38, 1520], Operations: ['81-62=19', '80*19=1520'] Exploring Operation: 1520/38=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 72, 13, 78, 65 ]
83
[ "78+65=143", "143/13=11", "72+11=83" ]
Current State: 83:[72, 13, 78, 65], Operations: [] Exploring Operation: 78+65=143, Resulting Numbers: [72, 13, 143] Generated Node #2: [72, 13, 143] from Operation: 78+65=143 Current State: 83:[72, 13, 143], Operations: ['78+65=143'] Exploring Operation: 143/13=11, Resulting Numbers: [72, 11] Generated Node #3: [72, 11] from Operation: 143/13=11 Current State: 83:[72, 11], Operations: ['78+65=143', '143/13=11'] Exploring Operation: 72+11=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 10, 29, 11, 57 ]
82
[ "10*11=110", "57-29=28", "110-28=82" ]
Current State: 82:[10, 29, 11, 57], Operations: [] Exploring Operation: 10*11=110, Resulting Numbers: [29, 57, 110] Generated Node #2: [29, 57, 110] from Operation: 10*11=110 Current State: 82:[29, 57, 110], Operations: ['10*11=110'] Exploring Operation: 57-29=28, Resulting Numbers: [110, 28] Generated Node #3: [110, 28] from Operation: 57-29=28 Current State: 82:[110, 28], Operations: ['10*11=110', '57-29=28'] Exploring Operation: 110-28=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 28, 8, 34, 69 ]
56
[ "28+34=62", "69-62=7", "8*7=56" ]
Current State: 56:[28, 8, 34, 69], Operations: [] Exploring Operation: 28+34=62, Resulting Numbers: [8, 69, 62] Generated Node #2: [8, 69, 62] from Operation: 28+34=62 Current State: 56:[8, 69, 62], Operations: ['28+34=62'] Exploring Operation: 69-62=7, Resulting Numbers: [8, 7] Generated Node #3: [8, 7] from Operation: 69-62=7 Current State: 56:[8, 7], Operations: ['28+34=62', '69-62=7'] Exploring Operation: 8*7=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 10, 41, 93, 74 ]
70
[ "10+41=51", "93-74=19", "51+19=70" ]
Current State: 70:[10, 41, 93, 74], Operations: [] Exploring Operation: 10+41=51, Resulting Numbers: [93, 74, 51] Generated Node #2: [93, 74, 51] from Operation: 10+41=51 Current State: 70:[93, 74, 51], Operations: ['10+41=51'] Exploring Operation: 93-74=19, Resulting Numbers: [51, 19] Generated Node #3: [51, 19] from Operation: 93-74=19 Current State: 70:[51, 19], Operations: ['10+41=51', '93-74=19'] Exploring Operation: 51+19=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 59, 3, 58, 56 ]
51
[ "59+58=117", "3*56=168", "168-117=51" ]
Current State: 51:[59, 3, 58, 56], Operations: [] Exploring Operation: 59+58=117, Resulting Numbers: [3, 56, 117] Generated Node #2: [3, 56, 117] from Operation: 59+58=117 Current State: 51:[3, 56, 117], Operations: ['59+58=117'] Exploring Operation: 3*56=168, Resulting Numbers: [117, 168] Generated Node #3: [117, 168] from Operation: 3*56=168 Current State: 51:[117, 168], Operations: ['59+58=117', '3*56=168'] Exploring Operation: 168-117=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 63, 6, 83, 8 ]
19
[ "63+6=69", "83+69=152", "152/8=19" ]
Current State: 19:[63, 6, 83, 8], Operations: [] Exploring Operation: 63+6=69, Resulting Numbers: [83, 8, 69] Generated Node #2: [83, 8, 69] from Operation: 63+6=69 Current State: 19:[83, 8, 69], Operations: ['63+6=69'] Exploring Operation: 83+69=152, Resulting Numbers: [8, 152] Generated Node #3: [8, 152] from Operation: 83+69=152 Current State: 19:[8, 152], Operations: ['63+6=69', '83+69=152'] Exploring Operation: 152/8=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4