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
[ 97, 9, 75, 99 ]
82
[ "97+9=106", "99-75=24", "106-24=82" ]
Current State: 82:[97, 9, 75, 99], Operations: [] Exploring Operation: 97+9=106, Resulting Numbers: [75, 99, 106] Generated Node #2: [75, 99, 106] from Operation: 97+9=106 Current State: 82:[75, 99, 106], Operations: ['97+9=106'] Exploring Operation: 99-75=24, Resulting Numbers: [106, 24] Generated Node #3: [106, 24] from Operation: 99-75=24 Current State: 82:[106, 24], Operations: ['97+9=106', '99-75=24'] Exploring Operation: 106-24=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 33, 21, 28, 12 ]
27
[ "33-21=12", "12/12=1", "28-1=27" ]
Current State: 27:[33, 21, 28, 12], Operations: [] Exploring Operation: 33-21=12, Resulting Numbers: [28, 12, 12] Generated Node #2: [28, 12, 12] from Operation: 33-21=12 Current State: 27:[28, 12, 12], Operations: ['33-21=12'] Exploring Operation: 12/12=1, Resulting Numbers: [28, 1] Generated Node #3: [28, 1] from Operation: 12/12=1 Current State: 27:[28, 1], Operations: ['33-21=12', '12/12=1'] Exploring Operation: 28-1=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 93, 10, 52, 85 ]
34
[ "93+10=103", "52+85=137", "137-103=34" ]
Current State: 34:[93, 10, 52, 85], Operations: [] Exploring Operation: 93+10=103, Resulting Numbers: [52, 85, 103] Generated Node #2: [52, 85, 103] from Operation: 93+10=103 Current State: 34:[52, 85, 103], Operations: ['93+10=103'] Exploring Operation: 52+85=137, Resulting Numbers: [103, 137] Generated Node #3: [103, 137] from Operation: 52+85=137 Current State: 34:[103, 137], Operations: ['93+10=103', '52+85=137'] Exploring Operation: 137-103=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 35, 12, 99, 24 ]
62
[ "99-35=64", "24/12=2", "64-2=62" ]
Current State: 62:[35, 12, 99, 24], Operations: [] Exploring Operation: 99-35=64, Resulting Numbers: [12, 24, 64] Generated Node #2: [12, 24, 64] from Operation: 99-35=64 Current State: 62:[12, 24, 64], Operations: ['99-35=64'] Exploring Operation: 24/12=2, Resulting Numbers: [64, 2] Generated Node #3: [64, 2] from Operation: 24/12=2 Current State: 62:[64, 2], Operations: ['99-35=64', '24/12=2'] Exploring Operation: 64-2=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 13, 86, 99, 32 ]
32
[ "13+86=99", "99+32=131", "131-99=32" ]
Current State: 32:[13, 86, 99, 32], Operations: [] Exploring Operation: 13+86=99, Resulting Numbers: [99, 32, 99] Generated Node #2: [99, 32, 99] from Operation: 13+86=99 Current State: 32:[99, 32, 99], Operations: ['13+86=99'] Exploring Operation: 99+32=131, Resulting Numbers: [131] 131,32 equal: Goal Reached Exploring Operation: 131-99=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 60, 13, 56, 7 ]
65
[ "60+13=73", "56/7=8", "73-8=65" ]
Current State: 65:[60, 13, 56, 7], Operations: [] Exploring Operation: 60+13=73, Resulting Numbers: [56, 7, 73] Generated Node #2: [56, 7, 73] from Operation: 60+13=73 Current State: 65:[56, 7, 73], Operations: ['60+13=73'] Exploring Operation: 56/7=8, Resulting Numbers: [73, 8] Generated Node #3: [73, 8] from Operation: 56/7=8 Current State: 65:[73, 8], Operations: ['60+13=73', '56/7=8'] Exploring Operation: 73-8=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 71, 17, 67, 75 ]
34
[ "67+75=142", "142/71=2", "17*2=34" ]
Current State: 34:[71, 17, 67, 75], Operations: [] Exploring Operation: 67+75=142, Resulting Numbers: [71, 17, 142] Generated Node #2: [71, 17, 142] from Operation: 67+75=142 Current State: 34:[71, 17, 142], Operations: ['67+75=142'] Exploring Operation: 142/71=2, Resulting Numbers: [17, 2] Generated Node #3: [17, 2] from Operation: 142/71=2 Current State: 34:[17, 2], Operations: ['67+75=142', '142/71=2'] Exploring Operation: 17*2=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 57, 68, 50, 2 ]
48
[ "68-50=18", "18/2=9", "57-9=48" ]
Current State: 48:[57, 68, 50, 2], Operations: [] Exploring Operation: 68-50=18, Resulting Numbers: [57, 2, 18] Generated Node #2: [57, 2, 18] from Operation: 68-50=18 Current State: 48:[57, 2, 18], Operations: ['68-50=18'] Exploring Operation: 18/2=9, Resulting Numbers: [57, 9] Generated Node #3: [57, 9] from Operation: 18/2=9 Current State: 48:[57, 9], Operations: ['68-50=18', '18/2=9'] Exploring Operation: 57-9=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 8, 91, 56, 62 ]
77
[ "91-8=83", "62-56=6", "83-6=77" ]
Current State: 77:[8, 91, 56, 62], Operations: [] Exploring Operation: 91-8=83, Resulting Numbers: [56, 62, 83] Generated Node #2: [56, 62, 83] from Operation: 91-8=83 Current State: 77:[56, 62, 83], Operations: ['91-8=83'] Exploring Operation: 62-56=6, Resulting Numbers: [83, 6] Generated Node #3: [83, 6] from Operation: 62-56=6 Current State: 77:[83, 6], Operations: ['91-8=83', '62-56=6'] Exploring Operation: 83-6=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 71, 47, 49, 1 ]
74
[ "71-47=24", "49+1=50", "24+50=74" ]
Current State: 74:[71, 47, 49, 1], Operations: [] Exploring Operation: 71-47=24, Resulting Numbers: [49, 1, 24] Generated Node #2: [49, 1, 24] from Operation: 71-47=24 Current State: 74:[49, 1, 24], Operations: ['71-47=24'] Exploring Operation: 49+1=50, Resulting Numbers: [24, 50] Generated Node #3: [24, 50] from Operation: 49+1=50 Current State: 74:[24, 50], Operations: ['71-47=24', '49+1=50'] Exploring Operation: 24+50=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 46, 90, 11, 18 ]
51
[ "90-46=44", "18-11=7", "44+7=51" ]
Current State: 51:[46, 90, 11, 18], Operations: [] Exploring Operation: 90-46=44, Resulting Numbers: [11, 18, 44] Generated Node #2: [11, 18, 44] from Operation: 90-46=44 Current State: 51:[11, 18, 44], Operations: ['90-46=44'] Exploring Operation: 18-11=7, Resulting Numbers: [44, 7] Generated Node #3: [44, 7] from Operation: 18-11=7 Current State: 51:[44, 7], Operations: ['90-46=44', '18-11=7'] Exploring Operation: 44+7=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 3, 94, 34, 68 ]
88
[ "3*68=204", "204/34=6", "94-6=88" ]
Current State: 88:[3, 94, 34, 68], Operations: [] Exploring Operation: 3*68=204, Resulting Numbers: [94, 34, 204] Generated Node #2: [94, 34, 204] from Operation: 3*68=204 Current State: 88:[94, 34, 204], Operations: ['3*68=204'] Exploring Operation: 204/34=6, Resulting Numbers: [94, 6] Generated Node #3: [94, 6] from Operation: 204/34=6 Current State: 88:[94, 6], Operations: ['3*68=204', '204/34=6'] Exploring Operation: 94-6=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 35, 75, 1, 26 ]
67
[ "75-35=40", "1+26=27", "40+27=67" ]
Current State: 67:[35, 75, 1, 26], Operations: [] Exploring Operation: 75-35=40, Resulting Numbers: [1, 26, 40] Generated Node #2: [1, 26, 40] from Operation: 75-35=40 Current State: 67:[1, 26, 40], Operations: ['75-35=40'] Exploring Operation: 1+26=27, Resulting Numbers: [40, 27] Generated Node #3: [40, 27] from Operation: 1+26=27 Current State: 67:[40, 27], Operations: ['75-35=40', '1+26=27'] Exploring Operation: 40+27=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 2, 76, 17, 1 ]
20
[ "76/2=38", "17+1=18", "38-18=20" ]
Current State: 20:[2, 76, 17, 1], Operations: [] Exploring Operation: 76/2=38, Resulting Numbers: [17, 1, 38] Generated Node #2: [17, 1, 38] from Operation: 76/2=38 Current State: 20:[17, 1, 38], Operations: ['76/2=38'] Exploring Operation: 17+1=18, Resulting Numbers: [38, 18] Generated Node #3: [38, 18] from Operation: 17+1=18 Current State: 20:[38, 18], Operations: ['76/2=38', '17+1=18'] Exploring Operation: 38-18=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 3, 53, 77, 2 ]
24
[ "3-2=1", "77-53=24", "1*24=24" ]
Current State: 24:[3, 53, 77, 2], Operations: [] Exploring Operation: 3-2=1, Resulting Numbers: [53, 77, 1] Generated Node #2: [53, 77, 1] from Operation: 3-2=1 Current State: 24:[53, 77, 1], Operations: ['3-2=1'] Exploring Operation: 77-53=24, Resulting Numbers: [1, 24] Generated Node #3: [1, 24] from Operation: 77-53=24 Current State: 24:[1, 24], Operations: ['3-2=1', '77-53=24'] Exploring Operation: 1*24=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 50, 35, 33, 26 ]
12
[ "50-26=24", "35-33=2", "24/2=12" ]
Current State: 12:[50, 35, 33, 26], Operations: [] Exploring Operation: 50-26=24, Resulting Numbers: [35, 33, 24] Generated Node #2: [35, 33, 24] from Operation: 50-26=24 Current State: 12:[35, 33, 24], Operations: ['50-26=24'] Exploring Operation: 35-33=2, Resulting Numbers: [24, 2] Generated Node #3: [24, 2] from Operation: 35-33=2 Current State: 12:[24, 2], Operations: ['50-26=24', '35-33=2'] Exploring Operation: 24/2=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 82, 38, 19, 80 ]
19
[ "82*19=1558", "1558-38=1520", "1520/80=19" ]
Current State: 19:[82, 38, 19, 80], Operations: [] Exploring Operation: 82*19=1558, Resulting Numbers: [38, 80, 1558] Generated Node #2: [38, 80, 1558] from Operation: 82*19=1558 Current State: 19:[38, 80, 1558], Operations: ['82*19=1558'] Exploring Operation: 1558-38=1520, Resulting Numbers: [80, 1520] Generated Node #3: [80, 1520] from Operation: 1558-38=1520 Current State: 19:[80, 1520], Operations: ['82*19=1558', '1558-38=1520'] Exploring Operation: 1520/80=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 38, 20, 73, 2 ]
64
[ "38-20=18", "18/2=9", "73-9=64" ]
Current State: 64:[38, 20, 73, 2], Operations: [] Exploring Operation: 38-20=18, Resulting Numbers: [73, 2, 18] Generated Node #2: [73, 2, 18] from Operation: 38-20=18 Current State: 64:[73, 2, 18], Operations: ['38-20=18'] Exploring Operation: 18/2=9, Resulting Numbers: [73, 9] Generated Node #3: [73, 9] from Operation: 18/2=9 Current State: 64:[73, 9], Operations: ['38-20=18', '18/2=9'] Exploring Operation: 73-9=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 85, 97, 74, 98 ]
36
[ "97-85=12", "98-74=24", "12+24=36" ]
Current State: 36:[85, 97, 74, 98], Operations: [] Exploring Operation: 97-85=12, Resulting Numbers: [74, 98, 12] Generated Node #2: [74, 98, 12] from Operation: 97-85=12 Current State: 36:[74, 98, 12], Operations: ['97-85=12'] Exploring Operation: 98-74=24, Resulting Numbers: [12, 24] Generated Node #3: [12, 24] from Operation: 98-74=24 Current State: 36:[12, 24], Operations: ['97-85=12', '98-74=24'] Exploring Operation: 12+24=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 84, 23, 79, 44 ]
96
[ "84-23=61", "79-44=35", "61+35=96" ]
Current State: 96:[84, 23, 79, 44], Operations: [] Exploring Operation: 84-23=61, Resulting Numbers: [79, 44, 61] Generated Node #2: [79, 44, 61] from Operation: 84-23=61 Current State: 96:[79, 44, 61], Operations: ['84-23=61'] Exploring Operation: 79-44=35, Resulting Numbers: [61, 35] Generated Node #3: [61, 35] from Operation: 79-44=35 Current State: 96:[61, 35], Operations: ['84-23=61', '79-44=35'] Exploring Operation: 61+35=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 54, 42, 36, 87 ]
29
[ "54-42=12", "36/12=3", "87/3=29" ]
Current State: 29:[54, 42, 36, 87], Operations: [] Exploring Operation: 54-42=12, Resulting Numbers: [36, 87, 12] Generated Node #2: [36, 87, 12] from Operation: 54-42=12 Current State: 29:[36, 87, 12], Operations: ['54-42=12'] Exploring Operation: 36/12=3, Resulting Numbers: [87, 3] Generated Node #3: [87, 3] from Operation: 36/12=3 Current State: 29:[87, 3], Operations: ['54-42=12', '36/12=3'] Exploring Operation: 87/3=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 85, 39, 64, 16 ]
71
[ "39*64=2496", "2496/16=156", "156-85=71" ]
Current State: 71:[85, 39, 64, 16], Operations: [] Exploring Operation: 39*64=2496, Resulting Numbers: [85, 16, 2496] Generated Node #2: [85, 16, 2496] from Operation: 39*64=2496 Current State: 71:[85, 16, 2496], Operations: ['39*64=2496'] Exploring Operation: 2496/16=156, Resulting Numbers: [85, 156] Generated Node #3: [85, 156] from Operation: 2496/16=156 Current State: 71:[85, 156], Operations: ['39*64=2496', '2496/16=156'] Exploring Operation: 156-85=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 88, 65, 37, 9 ]
90
[ "65+9=74", "74/37=2", "88+2=90" ]
Current State: 90:[88, 65, 37, 9], Operations: [] Exploring Operation: 65+9=74, Resulting Numbers: [88, 37, 74] Generated Node #2: [88, 37, 74] from Operation: 65+9=74 Current State: 90:[88, 37, 74], Operations: ['65+9=74'] Exploring Operation: 74/37=2, Resulting Numbers: [88, 2] Generated Node #3: [88, 2] from Operation: 74/37=2 Current State: 90:[88, 2], Operations: ['65+9=74', '74/37=2'] Exploring Operation: 88+2=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 17, 18, 23, 46 ]
52
[ "17*46=782", "782/23=34", "18+34=52" ]
Current State: 52:[17, 18, 23, 46], Operations: [] Exploring Operation: 17*46=782, Resulting Numbers: [18, 23, 782] Generated Node #2: [18, 23, 782] from Operation: 17*46=782 Current State: 52:[18, 23, 782], Operations: ['17*46=782'] Exploring Operation: 782/23=34, Resulting Numbers: [18, 34] Generated Node #3: [18, 34] from Operation: 782/23=34 Current State: 52:[18, 34], Operations: ['17*46=782', '782/23=34'] Exploring Operation: 18+34=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 42, 54, 33, 51 ]
93
[ "54-51=3", "42*3=126", "126-33=93" ]
Current State: 93:[42, 54, 33, 51], Operations: [] Exploring Operation: 54-51=3, Resulting Numbers: [42, 33, 3] Generated Node #2: [42, 33, 3] from Operation: 54-51=3 Current State: 93:[42, 33, 3], Operations: ['54-51=3'] Exploring Operation: 42*3=126, Resulting Numbers: [33, 126] Generated Node #3: [33, 126] from Operation: 42*3=126 Current State: 93:[33, 126], Operations: ['54-51=3', '42*3=126'] Exploring Operation: 126-33=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 21, 42, 9, 30 ]
41
[ "42/21=2", "9+30=39", "2+39=41" ]
Current State: 41:[21, 42, 9, 30], Operations: [] Exploring Operation: 42/21=2, Resulting Numbers: [9, 30, 2] Generated Node #2: [9, 30, 2] from Operation: 42/21=2 Current State: 41:[9, 30, 2], Operations: ['42/21=2'] Exploring Operation: 9+30=39, Resulting Numbers: [2, 39] Generated Node #3: [2, 39] from Operation: 9+30=39 Current State: 41:[2, 39], Operations: ['42/21=2', '9+30=39'] Exploring Operation: 2+39=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 33, 7, 49, 31 ]
35
[ "33-31=2", "7*2=14", "49-14=35" ]
Current State: 35:[33, 7, 49, 31], Operations: [] Exploring Operation: 33-31=2, Resulting Numbers: [7, 49, 2] Generated Node #2: [7, 49, 2] from Operation: 33-31=2 Current State: 35:[7, 49, 2], Operations: ['33-31=2'] Exploring Operation: 7*2=14, Resulting Numbers: [49, 14] Generated Node #3: [49, 14] from Operation: 7*2=14 Current State: 35:[49, 14], Operations: ['33-31=2', '7*2=14'] Exploring Operation: 49-14=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 37, 2, 84, 72 ]
41
[ "84+72=156", "156/2=78", "78-37=41" ]
Current State: 41:[37, 2, 84, 72], Operations: [] Exploring Operation: 84+72=156, Resulting Numbers: [37, 2, 156] Generated Node #2: [37, 2, 156] from Operation: 84+72=156 Current State: 41:[37, 2, 156], Operations: ['84+72=156'] Exploring Operation: 156/2=78, Resulting Numbers: [37, 78] Generated Node #3: [37, 78] from Operation: 156/2=78 Current State: 41:[37, 78], Operations: ['84+72=156', '156/2=78'] Exploring Operation: 78-37=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 92, 73, 23, 94 ]
17
[ "92/23=4", "94-73=21", "21-4=17" ]
Current State: 17:[92, 73, 23, 94], Operations: [] Exploring Operation: 92/23=4, Resulting Numbers: [73, 94, 4] Generated Node #2: [73, 94, 4] from Operation: 92/23=4 Current State: 17:[73, 94, 4], Operations: ['92/23=4'] Exploring Operation: 94-73=21, Resulting Numbers: [4, 21] Generated Node #3: [4, 21] from Operation: 94-73=21 Current State: 17:[4, 21], Operations: ['92/23=4', '94-73=21'] Exploring Operation: 21-4=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 17, 29, 69, 26 ]
49
[ "17+29=46", "69+26=95", "95-46=49" ]
Current State: 49:[17, 29, 69, 26], Operations: [] Exploring Operation: 17+29=46, Resulting Numbers: [69, 26, 46] Generated Node #2: [69, 26, 46] from Operation: 17+29=46 Current State: 49:[69, 26, 46], Operations: ['17+29=46'] Exploring Operation: 69+26=95, Resulting Numbers: [46, 95] Generated Node #3: [46, 95] from Operation: 69+26=95 Current State: 49:[46, 95], Operations: ['17+29=46', '69+26=95'] Exploring Operation: 95-46=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 59, 33, 56, 4 ]
15
[ "59-56=3", "33/3=11", "4+11=15" ]
Current State: 15:[59, 33, 56, 4], Operations: [] Exploring Operation: 59-56=3, Resulting Numbers: [33, 4, 3] Generated Node #2: [33, 4, 3] from Operation: 59-56=3 Current State: 15:[33, 4, 3], Operations: ['59-56=3'] Exploring Operation: 33/3=11, Resulting Numbers: [4, 11] Generated Node #3: [4, 11] from Operation: 33/3=11 Current State: 15:[4, 11], Operations: ['59-56=3', '33/3=11'] Exploring Operation: 4+11=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 53, 94, 86, 66 ]
47
[ "86-53=33", "94*33=3102", "3102/66=47" ]
Current State: 47:[53, 94, 86, 66], Operations: [] Exploring Operation: 86-53=33, Resulting Numbers: [94, 66, 33] Generated Node #2: [94, 66, 33] from Operation: 86-53=33 Current State: 47:[94, 66, 33], Operations: ['86-53=33'] Exploring Operation: 94*33=3102, Resulting Numbers: [66, 3102] Generated Node #3: [66, 3102] from Operation: 94*33=3102 Current State: 47:[66, 3102], Operations: ['86-53=33', '94*33=3102'] Exploring Operation: 3102/66=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 24, 28, 18, 56 ]
78
[ "28-24=4", "18+56=74", "4+74=78" ]
Current State: 78:[24, 28, 18, 56], Operations: [] Exploring Operation: 28-24=4, Resulting Numbers: [18, 56, 4] Generated Node #2: [18, 56, 4] from Operation: 28-24=4 Current State: 78:[18, 56, 4], Operations: ['28-24=4'] Exploring Operation: 18+56=74, Resulting Numbers: [4, 74] Generated Node #3: [4, 74] from Operation: 18+56=74 Current State: 78:[4, 74], Operations: ['28-24=4', '18+56=74'] Exploring Operation: 4+74=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 94, 20, 73, 26 ]
22
[ "73-26=47", "94/47=2", "20+2=22" ]
Current State: 22:[94, 20, 73, 26], Operations: [] Exploring Operation: 73-26=47, Resulting Numbers: [94, 20, 47] Generated Node #2: [94, 20, 47] from Operation: 73-26=47 Current State: 22:[94, 20, 47], Operations: ['73-26=47'] Exploring Operation: 94/47=2, Resulting Numbers: [20, 2] Generated Node #3: [20, 2] from Operation: 94/47=2 Current State: 22:[20, 2], Operations: ['73-26=47', '94/47=2'] Exploring Operation: 20+2=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 92, 59, 99, 48 ]
18
[ "92-59=33", "99-48=51", "51-33=18" ]
Current State: 18:[92, 59, 99, 48], Operations: [] Exploring Operation: 92-59=33, Resulting Numbers: [99, 48, 33] Generated Node #2: [99, 48, 33] from Operation: 92-59=33 Current State: 18:[99, 48, 33], Operations: ['92-59=33'] Exploring Operation: 99-48=51, Resulting Numbers: [33, 51] Generated Node #3: [33, 51] from Operation: 99-48=51 Current State: 18:[33, 51], Operations: ['92-59=33', '99-48=51'] Exploring Operation: 51-33=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 70, 49, 51, 88 ]
58
[ "70-49=21", "88-51=37", "21+37=58" ]
Current State: 58:[70, 49, 51, 88], Operations: [] Exploring Operation: 70-49=21, Resulting Numbers: [51, 88, 21] Generated Node #2: [51, 88, 21] from Operation: 70-49=21 Current State: 58:[51, 88, 21], Operations: ['70-49=21'] Exploring Operation: 88-51=37, Resulting Numbers: [21, 37] Generated Node #3: [21, 37] from Operation: 88-51=37 Current State: 58:[21, 37], Operations: ['70-49=21', '88-51=37'] Exploring Operation: 21+37=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 3, 2, 61, 75 ]
71
[ "61+75=136", "136/2=68", "3+68=71" ]
Current State: 71:[3, 2, 61, 75], Operations: [] Exploring Operation: 61+75=136, Resulting Numbers: [3, 2, 136] Generated Node #2: [3, 2, 136] from Operation: 61+75=136 Current State: 71:[3, 2, 136], Operations: ['61+75=136'] Exploring Operation: 136/2=68, Resulting Numbers: [3, 68] Generated Node #3: [3, 68] from Operation: 136/2=68 Current State: 71:[3, 68], Operations: ['61+75=136', '136/2=68'] Exploring Operation: 3+68=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 29, 62, 77, 83 ]
85
[ "29+62=91", "83-77=6", "91-6=85" ]
Current State: 85:[29, 62, 77, 83], Operations: [] Exploring Operation: 29+62=91, Resulting Numbers: [77, 83, 91] Generated Node #2: [77, 83, 91] from Operation: 29+62=91 Current State: 85:[77, 83, 91], Operations: ['29+62=91'] Exploring Operation: 83-77=6, Resulting Numbers: [91, 6] Generated Node #3: [91, 6] from Operation: 83-77=6 Current State: 85:[91, 6], Operations: ['29+62=91', '83-77=6'] Exploring Operation: 91-6=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 38, 46, 57, 90 ]
66
[ "90-46=44", "57*44=2508", "2508/38=66" ]
Current State: 66:[38, 46, 57, 90], Operations: [] Exploring Operation: 90-46=44, Resulting Numbers: [38, 57, 44] Generated Node #2: [38, 57, 44] from Operation: 90-46=44 Current State: 66:[38, 57, 44], Operations: ['90-46=44'] Exploring Operation: 57*44=2508, Resulting Numbers: [38, 2508] Generated Node #3: [38, 2508] from Operation: 57*44=2508 Current State: 66:[38, 2508], Operations: ['90-46=44', '57*44=2508'] Exploring Operation: 2508/38=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 78, 65, 46, 4 ]
93
[ "78+65=143", "46+4=50", "143-50=93" ]
Current State: 93:[78, 65, 46, 4], Operations: [] Exploring Operation: 78+65=143, Resulting Numbers: [46, 4, 143] Generated Node #2: [46, 4, 143] from Operation: 78+65=143 Current State: 93:[46, 4, 143], Operations: ['78+65=143'] Exploring Operation: 46+4=50, Resulting Numbers: [143, 50] Generated Node #3: [143, 50] from Operation: 46+4=50 Current State: 93:[143, 50], Operations: ['78+65=143', '46+4=50'] Exploring Operation: 143-50=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 29, 66, 30, 21 ]
69
[ "66*30=1980", "21+1980=2001", "2001/29=69" ]
Current State: 69:[29, 66, 30, 21], Operations: [] Exploring Operation: 66*30=1980, Resulting Numbers: [29, 21, 1980] Generated Node #2: [29, 21, 1980] from Operation: 66*30=1980 Current State: 69:[29, 21, 1980], Operations: ['66*30=1980'] Exploring Operation: 21+1980=2001, Resulting Numbers: [29, 2001] Generated Node #3: [29, 2001] from Operation: 21+1980=2001 Current State: 69:[29, 2001], Operations: ['66*30=1980', '21+1980=2001'] Exploring Operation: 2001/29=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 50, 13, 52, 4 ]
42
[ "50-4=46", "52/13=4", "46-4=42" ]
Current State: 42:[50, 13, 52, 4], Operations: [] Exploring Operation: 50-4=46, Resulting Numbers: [13, 52, 46] Generated Node #2: [13, 52, 46] from Operation: 50-4=46 Current State: 42:[13, 52, 46], Operations: ['50-4=46'] Exploring Operation: 52/13=4, Resulting Numbers: [46, 4] Generated Node #3: [46, 4] from Operation: 52/13=4 Current State: 42:[46, 4], Operations: ['50-4=46', '52/13=4'] Exploring Operation: 46-4=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 44, 51, 22, 96 ]
23
[ "44+51=95", "22+96=118", "118-95=23" ]
Current State: 23:[44, 51, 22, 96], Operations: [] Exploring Operation: 44+51=95, Resulting Numbers: [22, 96, 95] Generated Node #2: [22, 96, 95] from Operation: 44+51=95 Current State: 23:[22, 96, 95], Operations: ['44+51=95'] Exploring Operation: 22+96=118, Resulting Numbers: [95, 118] Generated Node #3: [95, 118] from Operation: 22+96=118 Current State: 23:[95, 118], Operations: ['44+51=95', '22+96=118'] Exploring Operation: 118-95=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 73, 71, 18, 6 ]
27
[ "73+71=144", "18+144=162", "162/6=27" ]
Current State: 27:[73, 71, 18, 6], Operations: [] Exploring Operation: 73+71=144, Resulting Numbers: [18, 6, 144] Generated Node #2: [18, 6, 144] from Operation: 73+71=144 Current State: 27:[18, 6, 144], Operations: ['73+71=144'] Exploring Operation: 18+144=162, Resulting Numbers: [6, 162] Generated Node #3: [6, 162] from Operation: 18+144=162 Current State: 27:[6, 162], Operations: ['73+71=144', '18+144=162'] Exploring Operation: 162/6=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 23, 27, 29, 56 ]
31
[ "27-23=4", "56-29=27", "4+27=31" ]
Current State: 31:[23, 27, 29, 56], Operations: [] Exploring Operation: 27-23=4, Resulting Numbers: [29, 56, 4] Generated Node #2: [29, 56, 4] from Operation: 27-23=4 Current State: 31:[29, 56, 4], Operations: ['27-23=4'] Exploring Operation: 56-29=27, Resulting Numbers: [4, 27] Generated Node #3: [4, 27] from Operation: 56-29=27 Current State: 31:[4, 27], Operations: ['27-23=4', '56-29=27'] Exploring Operation: 4+27=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 72, 77, 62, 5 ]
72
[ "77-72=5", "62+5=67", "5+67=72" ]
Current State: 72:[72, 77, 62, 5], Operations: [] Exploring Operation: 77-72=5, Resulting Numbers: [62, 5, 5] Generated Node #2: [62, 5, 5] from Operation: 77-72=5 Current State: 72:[62, 5, 5], Operations: ['77-72=5'] Exploring Operation: 62+5=67, Resulting Numbers: [67] 67,72 equal: Goal Reached Exploring Operation: 5+67=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 93, 99, 81, 38 ]
45
[ "93-38=55", "81*55=4455", "4455/99=45" ]
Current State: 45:[93, 99, 81, 38], Operations: [] Exploring Operation: 93-38=55, Resulting Numbers: [99, 81, 55] Generated Node #2: [99, 81, 55] from Operation: 93-38=55 Current State: 45:[99, 81, 55], Operations: ['93-38=55'] Exploring Operation: 81*55=4455, Resulting Numbers: [99, 4455] Generated Node #3: [99, 4455] from Operation: 81*55=4455 Current State: 45:[99, 4455], Operations: ['93-38=55', '81*55=4455'] Exploring Operation: 4455/99=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 96, 13, 4, 9 ]
78
[ "96-13=83", "9-4=5", "83-5=78" ]
Current State: 78:[96, 13, 4, 9], Operations: [] Exploring Operation: 96-13=83, Resulting Numbers: [4, 9, 83] Generated Node #2: [4, 9, 83] from Operation: 96-13=83 Current State: 78:[4, 9, 83], Operations: ['96-13=83'] Exploring Operation: 9-4=5, Resulting Numbers: [83, 5] Generated Node #3: [83, 5] from Operation: 9-4=5 Current State: 78:[83, 5], Operations: ['96-13=83', '9-4=5'] Exploring Operation: 83-5=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 26, 27, 59, 5 ]
54
[ "27-26=1", "59-5=54", "1*54=54" ]
Current State: 54:[26, 27, 59, 5], Operations: [] Exploring Operation: 27-26=1, Resulting Numbers: [59, 5, 1] Generated Node #2: [59, 5, 1] from Operation: 27-26=1 Current State: 54:[59, 5, 1], Operations: ['27-26=1'] Exploring Operation: 59-5=54, Resulting Numbers: [1, 54] Generated Node #3: [1, 54] from Operation: 59-5=54 Current State: 54:[1, 54], Operations: ['27-26=1', '59-5=54'] Exploring Operation: 1*54=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 48, 72, 23, 46 ]
22
[ "72-48=24", "46/23=2", "24-2=22" ]
Current State: 22:[48, 72, 23, 46], Operations: [] Exploring Operation: 72-48=24, Resulting Numbers: [23, 46, 24] Generated Node #2: [23, 46, 24] from Operation: 72-48=24 Current State: 22:[23, 46, 24], Operations: ['72-48=24'] Exploring Operation: 46/23=2, Resulting Numbers: [24, 2] Generated Node #3: [24, 2] from Operation: 46/23=2 Current State: 22:[24, 2], Operations: ['72-48=24', '46/23=2'] Exploring Operation: 24-2=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 5, 87, 89, 13 ]
55
[ "89-87=2", "13-2=11", "5*11=55" ]
Current State: 55:[5, 87, 89, 13], Operations: [] Exploring Operation: 89-87=2, Resulting Numbers: [5, 13, 2] Generated Node #2: [5, 13, 2] from Operation: 89-87=2 Current State: 55:[5, 13, 2], Operations: ['89-87=2'] Exploring Operation: 13-2=11, Resulting Numbers: [5, 11] Generated Node #3: [5, 11] from Operation: 13-2=11 Current State: 55:[5, 11], Operations: ['89-87=2', '13-2=11'] Exploring Operation: 5*11=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 30, 24, 4, 32 ]
18
[ "30+24=54", "4+32=36", "54-36=18" ]
Current State: 18:[30, 24, 4, 32], Operations: [] Exploring Operation: 30+24=54, Resulting Numbers: [4, 32, 54] Generated Node #2: [4, 32, 54] from Operation: 30+24=54 Current State: 18:[4, 32, 54], Operations: ['30+24=54'] Exploring Operation: 4+32=36, Resulting Numbers: [54, 36] Generated Node #3: [54, 36] from Operation: 4+32=36 Current State: 18:[54, 36], Operations: ['30+24=54', '4+32=36'] Exploring Operation: 54-36=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 42, 14, 4, 42 ]
11
[ "42/42=1", "14-4=10", "1+10=11" ]
Current State: 11:[42, 14, 4, 42], Operations: [] Exploring Operation: 42/42=1, Resulting Numbers: [14, 4, 1] Generated Node #2: [14, 4, 1] from Operation: 42/42=1 Current State: 11:[14, 4, 1], Operations: ['42/42=1'] Exploring Operation: 14-4=10, Resulting Numbers: [1, 10] Generated Node #3: [1, 10] from Operation: 14-4=10 Current State: 11:[1, 10], Operations: ['42/42=1', '14-4=10'] Exploring Operation: 1+10=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 50, 32, 12, 61 ]
31
[ "50-32=18", "61-12=49", "49-18=31" ]
Current State: 31:[50, 32, 12, 61], Operations: [] Exploring Operation: 50-32=18, Resulting Numbers: [12, 61, 18] Generated Node #2: [12, 61, 18] from Operation: 50-32=18 Current State: 31:[12, 61, 18], Operations: ['50-32=18'] Exploring Operation: 61-12=49, Resulting Numbers: [18, 49] Generated Node #3: [18, 49] from Operation: 61-12=49 Current State: 31:[18, 49], Operations: ['50-32=18', '61-12=49'] Exploring Operation: 49-18=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 25, 87, 24, 90 ]
52
[ "87-25=62", "24+90=114", "114-62=52" ]
Current State: 52:[25, 87, 24, 90], Operations: [] Exploring Operation: 87-25=62, Resulting Numbers: [24, 90, 62] Generated Node #2: [24, 90, 62] from Operation: 87-25=62 Current State: 52:[24, 90, 62], Operations: ['87-25=62'] Exploring Operation: 24+90=114, Resulting Numbers: [62, 114] Generated Node #3: [62, 114] from Operation: 24+90=114 Current State: 52:[62, 114], Operations: ['87-25=62', '24+90=114'] Exploring Operation: 114-62=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 96, 37, 56, 58 ]
56
[ "96-37=59", "59-58=1", "56*1=56" ]
Current State: 56:[96, 37, 56, 58], Operations: [] Exploring Operation: 96-37=59, Resulting Numbers: [56, 58, 59] Generated Node #2: [56, 58, 59] from Operation: 96-37=59 Current State: 56:[56, 58, 59], Operations: ['96-37=59'] Exploring Operation: 59-58=1, Resulting Numbers: [56, 1] Generated Node #3: [56, 1] from Operation: 59-58=1 Current State: 56:[56, 1], Operations: ['96-37=59', '59-58=1'] Exploring Operation: 56*1=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 39, 46, 92, 49 ]
85
[ "46-39=7", "49/7=7", "92-7=85" ]
Current State: 85:[39, 46, 92, 49], Operations: [] Exploring Operation: 46-39=7, Resulting Numbers: [92, 49, 7] Generated Node #2: [92, 49, 7] from Operation: 46-39=7 Current State: 85:[92, 49, 7], Operations: ['46-39=7'] Exploring Operation: 49/7=7, Resulting Numbers: [92, 7] Generated Node #3: [92, 7] from Operation: 49/7=7 Current State: 85:[92, 7], Operations: ['46-39=7', '49/7=7'] Exploring Operation: 92-7=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 20, 28, 18, 43 ]
23
[ "20+28=48", "43-18=25", "48-25=23" ]
Current State: 23:[20, 28, 18, 43], Operations: [] Exploring Operation: 20+28=48, Resulting Numbers: [18, 43, 48] Generated Node #2: [18, 43, 48] from Operation: 20+28=48 Current State: 23:[18, 43, 48], Operations: ['20+28=48'] Exploring Operation: 43-18=25, Resulting Numbers: [48, 25] Generated Node #3: [48, 25] from Operation: 43-18=25 Current State: 23:[48, 25], Operations: ['20+28=48', '43-18=25'] Exploring Operation: 48-25=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 20, 38, 82, 5 ]
59
[ "38-20=18", "82-5=77", "77-18=59" ]
Current State: 59:[20, 38, 82, 5], Operations: [] Exploring Operation: 38-20=18, Resulting Numbers: [82, 5, 18] Generated Node #2: [82, 5, 18] from Operation: 38-20=18 Current State: 59:[82, 5, 18], Operations: ['38-20=18'] Exploring Operation: 82-5=77, Resulting Numbers: [18, 77] Generated Node #3: [18, 77] from Operation: 82-5=77 Current State: 59:[18, 77], Operations: ['38-20=18', '82-5=77'] Exploring Operation: 77-18=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 45, 57, 18, 14 ]
98
[ "45+57=102", "18-14=4", "102-4=98" ]
Current State: 98:[45, 57, 18, 14], Operations: [] Exploring Operation: 45+57=102, Resulting Numbers: [18, 14, 102] Generated Node #2: [18, 14, 102] from Operation: 45+57=102 Current State: 98:[18, 14, 102], Operations: ['45+57=102'] Exploring Operation: 18-14=4, Resulting Numbers: [102, 4] Generated Node #3: [102, 4] from Operation: 18-14=4 Current State: 98:[102, 4], Operations: ['45+57=102', '18-14=4'] Exploring Operation: 102-4=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 58, 54, 81, 5 ]
31
[ "54+81=135", "135/5=27", "58-27=31" ]
Current State: 31:[58, 54, 81, 5], Operations: [] Exploring Operation: 54+81=135, Resulting Numbers: [58, 5, 135] Generated Node #2: [58, 5, 135] from Operation: 54+81=135 Current State: 31:[58, 5, 135], Operations: ['54+81=135'] Exploring Operation: 135/5=27, Resulting Numbers: [58, 27] Generated Node #3: [58, 27] from Operation: 135/5=27 Current State: 31:[58, 27], Operations: ['54+81=135', '135/5=27'] Exploring Operation: 58-27=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 10, 61, 79, 50 ]
58
[ "10+61=71", "79+50=129", "129-71=58" ]
Current State: 58:[10, 61, 79, 50], Operations: [] Exploring Operation: 10+61=71, Resulting Numbers: [79, 50, 71] Generated Node #2: [79, 50, 71] from Operation: 10+61=71 Current State: 58:[79, 50, 71], Operations: ['10+61=71'] Exploring Operation: 79+50=129, Resulting Numbers: [71, 129] Generated Node #3: [71, 129] from Operation: 79+50=129 Current State: 58:[71, 129], Operations: ['10+61=71', '79+50=129'] Exploring Operation: 129-71=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 32, 18, 64, 56 ]
16
[ "32-18=14", "64*14=896", "896/56=16" ]
Current State: 16:[32, 18, 64, 56], Operations: [] Exploring Operation: 32-18=14, Resulting Numbers: [64, 56, 14] Generated Node #2: [64, 56, 14] from Operation: 32-18=14 Current State: 16:[64, 56, 14], Operations: ['32-18=14'] Exploring Operation: 64*14=896, Resulting Numbers: [56, 896] Generated Node #3: [56, 896] from Operation: 64*14=896 Current State: 16:[56, 896], Operations: ['32-18=14', '64*14=896'] Exploring Operation: 896/56=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 22, 25, 50, 33 ]
51
[ "25-22=3", "50-33=17", "3*17=51" ]
Current State: 51:[22, 25, 50, 33], Operations: [] Exploring Operation: 25-22=3, Resulting Numbers: [50, 33, 3] Generated Node #2: [50, 33, 3] from Operation: 25-22=3 Current State: 51:[50, 33, 3], Operations: ['25-22=3'] Exploring Operation: 50-33=17, Resulting Numbers: [3, 17] Generated Node #3: [3, 17] from Operation: 50-33=17 Current State: 51:[3, 17], Operations: ['25-22=3', '50-33=17'] Exploring Operation: 3*17=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 21, 74, 76, 19 ]
99
[ "21+74=95", "76/19=4", "95+4=99" ]
Current State: 99:[21, 74, 76, 19], Operations: [] Exploring Operation: 21+74=95, Resulting Numbers: [76, 19, 95] Generated Node #2: [76, 19, 95] from Operation: 21+74=95 Current State: 99:[76, 19, 95], Operations: ['21+74=95'] Exploring Operation: 76/19=4, Resulting Numbers: [95, 4] Generated Node #3: [95, 4] from Operation: 76/19=4 Current State: 99:[95, 4], Operations: ['21+74=95', '76/19=4'] Exploring Operation: 95+4=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 21, 70, 70, 50 ]
14
[ "21*50=1050", "1050-70=980", "980/70=14" ]
Current State: 14:[21, 70, 70, 50], Operations: [] Exploring Operation: 21*50=1050, Resulting Numbers: [70, 70, 1050] Generated Node #2: [70, 70, 1050] from Operation: 21*50=1050 Current State: 14:[70, 70, 1050], Operations: ['21*50=1050'] Exploring Operation: 1050-70=980, Resulting Numbers: [980] 980,14 equal: Goal Reached Exploring Operation: 980/70=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 26, 29, 28, 35 ]
49
[ "29-26=3", "28*3=84", "84-35=49" ]
Current State: 49:[26, 29, 28, 35], Operations: [] Exploring Operation: 29-26=3, Resulting Numbers: [28, 35, 3] Generated Node #2: [28, 35, 3] from Operation: 29-26=3 Current State: 49:[28, 35, 3], Operations: ['29-26=3'] Exploring Operation: 28*3=84, Resulting Numbers: [35, 84] Generated Node #3: [35, 84] from Operation: 28*3=84 Current State: 49:[35, 84], Operations: ['29-26=3', '28*3=84'] Exploring Operation: 84-35=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 70, 12, 94, 94 ]
47
[ "94-70=24", "12*94=1128", "1128/24=47" ]
Current State: 47:[70, 12, 94, 94], Operations: [] Exploring Operation: 94-70=24, Resulting Numbers: [12, 24] Generated Node #2: [12, 24] from Operation: 94-70=24 Current State: 47:[12, 24], Operations: ['94-70=24'] Exploring Operation: 12*94=1128, Resulting Numbers: [24, 1128] Generated Node #3: [24, 1128] from Operation: 12*94=1128 Current State: 47:[24, 1128], Operations: ['94-70=24', '12*94=1128'] Exploring Operation: 1128/24=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 1, 81, 37, 25 ]
18
[ "81-1=80", "37+25=62", "80-62=18" ]
Current State: 18:[1, 81, 37, 25], Operations: [] Exploring Operation: 81-1=80, Resulting Numbers: [37, 25, 80] Generated Node #2: [37, 25, 80] from Operation: 81-1=80 Current State: 18:[37, 25, 80], Operations: ['81-1=80'] Exploring Operation: 37+25=62, Resulting Numbers: [80, 62] Generated Node #3: [80, 62] from Operation: 37+25=62 Current State: 18:[80, 62], Operations: ['81-1=80', '37+25=62'] Exploring Operation: 80-62=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 93, 4, 19, 89 ]
19
[ "93-4=89", "19+89=108", "108-89=19" ]
Current State: 19:[93, 4, 19, 89], Operations: [] Exploring Operation: 93-4=89, Resulting Numbers: [19, 89, 89] Generated Node #2: [19, 89, 89] from Operation: 93-4=89 Current State: 19:[19, 89, 89], Operations: ['93-4=89'] Exploring Operation: 19+89=108, Resulting Numbers: [108] 108,19 equal: Goal Reached Exploring Operation: 108-89=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 98, 65, 58, 50 ]
64
[ "65-58=7", "98/7=14", "50+14=64" ]
Current State: 64:[98, 65, 58, 50], Operations: [] Exploring Operation: 65-58=7, Resulting Numbers: [98, 50, 7] Generated Node #2: [98, 50, 7] from Operation: 65-58=7 Current State: 64:[98, 50, 7], Operations: ['65-58=7'] Exploring Operation: 98/7=14, Resulting Numbers: [50, 14] Generated Node #3: [50, 14] from Operation: 98/7=14 Current State: 64:[50, 14], Operations: ['65-58=7', '98/7=14'] Exploring Operation: 50+14=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 93, 9, 89, 26 ]
95
[ "93-89=4", "26*4=104", "104-9=95" ]
Current State: 95:[93, 9, 89, 26], Operations: [] Exploring Operation: 93-89=4, Resulting Numbers: [9, 26, 4] Generated Node #2: [9, 26, 4] from Operation: 93-89=4 Current State: 95:[9, 26, 4], Operations: ['93-89=4'] Exploring Operation: 26*4=104, Resulting Numbers: [9, 104] Generated Node #3: [9, 104] from Operation: 26*4=104 Current State: 95:[9, 104], Operations: ['93-89=4', '26*4=104'] Exploring Operation: 104-9=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 4, 8, 36, 82 ]
77
[ "8/4=2", "82/2=41", "36+41=77" ]
Current State: 77:[4, 8, 36, 82], Operations: [] Exploring Operation: 8/4=2, Resulting Numbers: [36, 82, 2] Generated Node #2: [36, 82, 2] from Operation: 8/4=2 Current State: 77:[36, 82, 2], Operations: ['8/4=2'] Exploring Operation: 82/2=41, Resulting Numbers: [36, 41] Generated Node #3: [36, 41] from Operation: 82/2=41 Current State: 77:[36, 41], Operations: ['8/4=2', '82/2=41'] Exploring Operation: 36+41=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 31, 90, 45, 50 ]
65
[ "50-45=5", "31*5=155", "155-90=65" ]
Current State: 65:[31, 90, 45, 50], Operations: [] Exploring Operation: 50-45=5, Resulting Numbers: [31, 90, 5] Generated Node #2: [31, 90, 5] from Operation: 50-45=5 Current State: 65:[31, 90, 5], Operations: ['50-45=5'] Exploring Operation: 31*5=155, Resulting Numbers: [90, 155] Generated Node #3: [90, 155] from Operation: 31*5=155 Current State: 65:[90, 155], Operations: ['50-45=5', '31*5=155'] Exploring Operation: 155-90=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 33, 42, 11, 59 ]
61
[ "42-33=9", "11+59=70", "70-9=61" ]
Current State: 61:[33, 42, 11, 59], Operations: [] Exploring Operation: 42-33=9, Resulting Numbers: [11, 59, 9] Generated Node #2: [11, 59, 9] from Operation: 42-33=9 Current State: 61:[11, 59, 9], Operations: ['42-33=9'] Exploring Operation: 11+59=70, Resulting Numbers: [9, 70] Generated Node #3: [9, 70] from Operation: 11+59=70 Current State: 61:[9, 70], Operations: ['42-33=9', '11+59=70'] Exploring Operation: 70-9=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 8, 54, 42, 21 ]
25
[ "54-8=46", "42-21=21", "46-21=25" ]
Current State: 25:[8, 54, 42, 21], Operations: [] Exploring Operation: 54-8=46, Resulting Numbers: [42, 21, 46] Generated Node #2: [42, 21, 46] from Operation: 54-8=46 Current State: 25:[42, 21, 46], Operations: ['54-8=46'] Exploring Operation: 42-21=21, Resulting Numbers: [46, 21] Generated Node #3: [46, 21] from Operation: 42-21=21 Current State: 25:[46, 21], Operations: ['54-8=46', '42-21=21'] Exploring Operation: 46-21=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 68, 90, 35, 54 ]
47
[ "35*54=1890", "1890/90=21", "68-21=47" ]
Current State: 47:[68, 90, 35, 54], Operations: [] Exploring Operation: 35*54=1890, Resulting Numbers: [68, 90, 1890] Generated Node #2: [68, 90, 1890] from Operation: 35*54=1890 Current State: 47:[68, 90, 1890], Operations: ['35*54=1890'] Exploring Operation: 1890/90=21, Resulting Numbers: [68, 21] Generated Node #3: [68, 21] from Operation: 1890/90=21 Current State: 47:[68, 21], Operations: ['35*54=1890', '1890/90=21'] Exploring Operation: 68-21=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 9, 55, 63, 30 ]
99
[ "63-9=54", "55*54=2970", "2970/30=99" ]
Current State: 99:[9, 55, 63, 30], Operations: [] Exploring Operation: 63-9=54, Resulting Numbers: [55, 30, 54] Generated Node #2: [55, 30, 54] from Operation: 63-9=54 Current State: 99:[55, 30, 54], Operations: ['63-9=54'] Exploring Operation: 55*54=2970, Resulting Numbers: [30, 2970] Generated Node #3: [30, 2970] from Operation: 55*54=2970 Current State: 99:[30, 2970], Operations: ['63-9=54', '55*54=2970'] Exploring Operation: 2970/30=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 40, 30, 35, 52 ]
77
[ "40-30=10", "35+52=87", "87-10=77" ]
Current State: 77:[40, 30, 35, 52], Operations: [] Exploring Operation: 40-30=10, Resulting Numbers: [35, 52, 10] Generated Node #2: [35, 52, 10] from Operation: 40-30=10 Current State: 77:[35, 52, 10], Operations: ['40-30=10'] Exploring Operation: 35+52=87, Resulting Numbers: [10, 87] Generated Node #3: [10, 87] from Operation: 35+52=87 Current State: 77:[10, 87], Operations: ['40-30=10', '35+52=87'] Exploring Operation: 87-10=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 57, 80, 37, 77 ]
73
[ "57-37=20", "80/20=4", "77-4=73" ]
Current State: 73:[57, 80, 37, 77], Operations: [] Exploring Operation: 57-37=20, Resulting Numbers: [80, 77, 20] Generated Node #2: [80, 77, 20] from Operation: 57-37=20 Current State: 73:[80, 77, 20], Operations: ['57-37=20'] Exploring Operation: 80/20=4, Resulting Numbers: [77, 4] Generated Node #3: [77, 4] from Operation: 80/20=4 Current State: 73:[77, 4], Operations: ['57-37=20', '80/20=4'] Exploring Operation: 77-4=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 45, 72, 58, 90 ]
65
[ "90/45=2", "72+58=130", "130/2=65" ]
Current State: 65:[45, 72, 58, 90], Operations: [] Exploring Operation: 90/45=2, Resulting Numbers: [72, 58, 2] Generated Node #2: [72, 58, 2] from Operation: 90/45=2 Current State: 65:[72, 58, 2], Operations: ['90/45=2'] Exploring Operation: 72+58=130, Resulting Numbers: [2, 130] Generated Node #3: [2, 130] from Operation: 72+58=130 Current State: 65:[2, 130], Operations: ['90/45=2', '72+58=130'] Exploring Operation: 130/2=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 34, 99, 39, 23 ]
40
[ "99+39=138", "138/23=6", "34+6=40" ]
Current State: 40:[34, 99, 39, 23], Operations: [] Exploring Operation: 99+39=138, Resulting Numbers: [34, 23, 138] Generated Node #2: [34, 23, 138] from Operation: 99+39=138 Current State: 40:[34, 23, 138], Operations: ['99+39=138'] Exploring Operation: 138/23=6, Resulting Numbers: [34, 6] Generated Node #3: [34, 6] from Operation: 138/23=6 Current State: 40:[34, 6], Operations: ['99+39=138', '138/23=6'] Exploring Operation: 34+6=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 27, 39, 91, 93 ]
15
[ "93-91=2", "27*2=54", "54-39=15" ]
Current State: 15:[27, 39, 91, 93], Operations: [] Exploring Operation: 93-91=2, Resulting Numbers: [27, 39, 2] Generated Node #2: [27, 39, 2] from Operation: 93-91=2 Current State: 15:[27, 39, 2], Operations: ['93-91=2'] Exploring Operation: 27*2=54, Resulting Numbers: [39, 54] Generated Node #3: [39, 54] from Operation: 27*2=54 Current State: 15:[39, 54], Operations: ['93-91=2', '27*2=54'] Exploring Operation: 54-39=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 21, 71, 92, 56 ]
98
[ "71-21=50", "92+56=148", "148-50=98" ]
Current State: 98:[21, 71, 92, 56], Operations: [] Exploring Operation: 71-21=50, Resulting Numbers: [92, 56, 50] Generated Node #2: [92, 56, 50] from Operation: 71-21=50 Current State: 98:[92, 56, 50], Operations: ['71-21=50'] Exploring Operation: 92+56=148, Resulting Numbers: [50, 148] Generated Node #3: [50, 148] from Operation: 92+56=148 Current State: 98:[50, 148], Operations: ['71-21=50', '92+56=148'] Exploring Operation: 148-50=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 78, 73, 23, 60 ]
32
[ "78-73=5", "60-23=37", "37-5=32" ]
Current State: 32:[78, 73, 23, 60], Operations: [] Exploring Operation: 78-73=5, Resulting Numbers: [23, 60, 5] Generated Node #2: [23, 60, 5] from Operation: 78-73=5 Current State: 32:[23, 60, 5], Operations: ['78-73=5'] Exploring Operation: 60-23=37, Resulting Numbers: [5, 37] Generated Node #3: [5, 37] from Operation: 60-23=37 Current State: 32:[5, 37], Operations: ['78-73=5', '60-23=37'] Exploring Operation: 37-5=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 58, 94, 58, 3 ]
31
[ "58/58=1", "94-1=93", "93/3=31" ]
Current State: 31:[58, 94, 58, 3], Operations: [] Exploring Operation: 58/58=1, Resulting Numbers: [94, 3, 1] Generated Node #2: [94, 3, 1] from Operation: 58/58=1 Current State: 31:[94, 3, 1], Operations: ['58/58=1'] Exploring Operation: 94-1=93, Resulting Numbers: [3, 93] Generated Node #3: [3, 93] from Operation: 94-1=93 Current State: 31:[3, 93], Operations: ['58/58=1', '94-1=93'] Exploring Operation: 93/3=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 70, 27, 12, 86 ]
10
[ "70-27=43", "86/43=2", "12-2=10" ]
Current State: 10:[70, 27, 12, 86], Operations: [] Exploring Operation: 70-27=43, Resulting Numbers: [12, 86, 43] Generated Node #2: [12, 86, 43] from Operation: 70-27=43 Current State: 10:[12, 86, 43], Operations: ['70-27=43'] Exploring Operation: 86/43=2, Resulting Numbers: [12, 2] Generated Node #3: [12, 2] from Operation: 86/43=2 Current State: 10:[12, 2], Operations: ['70-27=43', '86/43=2'] Exploring Operation: 12-2=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 11, 16, 30, 51 ]
48
[ "11+16=27", "51-30=21", "27+21=48" ]
Current State: 48:[11, 16, 30, 51], Operations: [] Exploring Operation: 11+16=27, Resulting Numbers: [30, 51, 27] Generated Node #2: [30, 51, 27] from Operation: 11+16=27 Current State: 48:[30, 51, 27], Operations: ['11+16=27'] Exploring Operation: 51-30=21, Resulting Numbers: [27, 21] Generated Node #3: [27, 21] from Operation: 51-30=21 Current State: 48:[27, 21], Operations: ['11+16=27', '51-30=21'] Exploring Operation: 27+21=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 44, 99, 21, 57 ]
88
[ "99-57=42", "44*42=1848", "1848/21=88" ]
Current State: 88:[44, 99, 21, 57], Operations: [] Exploring Operation: 99-57=42, Resulting Numbers: [44, 21, 42] Generated Node #2: [44, 21, 42] from Operation: 99-57=42 Current State: 88:[44, 21, 42], Operations: ['99-57=42'] Exploring Operation: 44*42=1848, Resulting Numbers: [21, 1848] Generated Node #3: [21, 1848] from Operation: 44*42=1848 Current State: 88:[21, 1848], Operations: ['99-57=42', '44*42=1848'] Exploring Operation: 1848/21=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 15, 46, 27, 3 ]
92
[ "27+3=30", "30/15=2", "46*2=92" ]
Current State: 92:[15, 46, 27, 3], Operations: [] Exploring Operation: 27+3=30, Resulting Numbers: [15, 46, 30] Generated Node #2: [15, 46, 30] from Operation: 27+3=30 Current State: 92:[15, 46, 30], Operations: ['27+3=30'] Exploring Operation: 30/15=2, Resulting Numbers: [46, 2] Generated Node #3: [46, 2] from Operation: 30/15=2 Current State: 92:[46, 2], Operations: ['27+3=30', '30/15=2'] Exploring Operation: 46*2=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 22, 41, 20, 3 ]
15
[ "41-20=21", "21/3=7", "22-7=15" ]
Current State: 15:[22, 41, 20, 3], Operations: [] Exploring Operation: 41-20=21, Resulting Numbers: [22, 3, 21] Generated Node #2: [22, 3, 21] from Operation: 41-20=21 Current State: 15:[22, 3, 21], Operations: ['41-20=21'] Exploring Operation: 21/3=7, Resulting Numbers: [22, 7] Generated Node #3: [22, 7] from Operation: 21/3=7 Current State: 15:[22, 7], Operations: ['41-20=21', '21/3=7'] Exploring Operation: 22-7=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 83, 48, 38, 19 ]
33
[ "83-48=35", "38/19=2", "35-2=33" ]
Current State: 33:[83, 48, 38, 19], Operations: [] Exploring Operation: 83-48=35, Resulting Numbers: [38, 19, 35] Generated Node #2: [38, 19, 35] from Operation: 83-48=35 Current State: 33:[38, 19, 35], Operations: ['83-48=35'] Exploring Operation: 38/19=2, Resulting Numbers: [35, 2] Generated Node #3: [35, 2] from Operation: 38/19=2 Current State: 33:[35, 2], Operations: ['83-48=35', '38/19=2'] Exploring Operation: 35-2=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 3, 54, 95, 13 ]
18
[ "95-54=41", "13+41=54", "54/3=18" ]
Current State: 18:[3, 54, 95, 13], Operations: [] Exploring Operation: 95-54=41, Resulting Numbers: [3, 13, 41] Generated Node #2: [3, 13, 41] from Operation: 95-54=41 Current State: 18:[3, 13, 41], Operations: ['95-54=41'] Exploring Operation: 13+41=54, Resulting Numbers: [3, 54] Generated Node #3: [3, 54] from Operation: 13+41=54 Current State: 18:[3, 54], Operations: ['95-54=41', '13+41=54'] Exploring Operation: 54/3=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 92, 87, 48, 68 ]
15
[ "92-87=5", "68-48=20", "20-5=15" ]
Current State: 15:[92, 87, 48, 68], Operations: [] Exploring Operation: 92-87=5, Resulting Numbers: [48, 68, 5] Generated Node #2: [48, 68, 5] from Operation: 92-87=5 Current State: 15:[48, 68, 5], Operations: ['92-87=5'] Exploring Operation: 68-48=20, Resulting Numbers: [5, 20] Generated Node #3: [5, 20] from Operation: 68-48=20 Current State: 15:[5, 20], Operations: ['92-87=5', '68-48=20'] Exploring Operation: 20-5=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 20, 28, 5, 41 ]
34
[ "20/5=4", "28/4=7", "41-7=34" ]
Current State: 34:[20, 28, 5, 41], Operations: [] Exploring Operation: 20/5=4, Resulting Numbers: [28, 41, 4] Generated Node #2: [28, 41, 4] from Operation: 20/5=4 Current State: 34:[28, 41, 4], Operations: ['20/5=4'] Exploring Operation: 28/4=7, Resulting Numbers: [41, 7] Generated Node #3: [41, 7] from Operation: 28/4=7 Current State: 34:[41, 7], Operations: ['20/5=4', '28/4=7'] Exploring Operation: 41-7=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 83, 2, 77, 66 ]
69
[ "83-77=6", "6/2=3", "66+3=69" ]
Current State: 69:[83, 2, 77, 66], Operations: [] Exploring Operation: 83-77=6, Resulting Numbers: [2, 66, 6] Generated Node #2: [2, 66, 6] from Operation: 83-77=6 Current State: 69:[2, 66, 6], Operations: ['83-77=6'] Exploring Operation: 6/2=3, Resulting Numbers: [66, 3] Generated Node #3: [66, 3] from Operation: 6/2=3 Current State: 69:[66, 3], Operations: ['83-77=6', '6/2=3'] Exploring Operation: 66+3=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 48, 4, 46, 58 ]
29
[ "48-4=44", "46-44=2", "58/2=29" ]
Current State: 29:[48, 4, 46, 58], Operations: [] Exploring Operation: 48-4=44, Resulting Numbers: [46, 58, 44] Generated Node #2: [46, 58, 44] from Operation: 48-4=44 Current State: 29:[46, 58, 44], Operations: ['48-4=44'] Exploring Operation: 46-44=2, Resulting Numbers: [58, 2] Generated Node #3: [58, 2] from Operation: 46-44=2 Current State: 29:[58, 2], Operations: ['48-4=44', '46-44=2'] Exploring Operation: 58/2=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 62, 5, 91, 12 ]
93
[ "62+91=153", "5*12=60", "153-60=93" ]
Current State: 93:[62, 5, 91, 12], Operations: [] Exploring Operation: 62+91=153, Resulting Numbers: [5, 12, 153] Generated Node #2: [5, 12, 153] from Operation: 62+91=153 Current State: 93:[5, 12, 153], Operations: ['62+91=153'] Exploring Operation: 5*12=60, Resulting Numbers: [153, 60] Generated Node #3: [153, 60] from Operation: 5*12=60 Current State: 93:[153, 60], Operations: ['62+91=153', '5*12=60'] Exploring Operation: 153-60=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 36, 80, 34, 48 ]
18
[ "80-34=46", "48-46=2", "36/2=18" ]
Current State: 18:[36, 80, 34, 48], Operations: [] Exploring Operation: 80-34=46, Resulting Numbers: [36, 48, 46] Generated Node #2: [36, 48, 46] from Operation: 80-34=46 Current State: 18:[36, 48, 46], Operations: ['80-34=46'] Exploring Operation: 48-46=2, Resulting Numbers: [36, 2] Generated Node #3: [36, 2] from Operation: 48-46=2 Current State: 18:[36, 2], Operations: ['80-34=46', '48-46=2'] Exploring Operation: 36/2=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 78, 24, 37, 37 ]
28
[ "78+24=102", "37+37=74", "102-74=28" ]
Current State: 28:[78, 24, 37, 37], Operations: [] Exploring Operation: 78+24=102, Resulting Numbers: [37, 37, 102] Generated Node #2: [37, 37, 102] from Operation: 78+24=102 Current State: 28:[37, 37, 102], Operations: ['78+24=102'] Exploring Operation: 37+37=74, Resulting Numbers: [102, 74] Generated Node #3: [102, 74] from Operation: 37+37=74 Current State: 28:[102, 74], Operations: ['78+24=102', '37+37=74'] Exploring Operation: 102-74=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4