Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files
xet
Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 45, 26, 50, 72 ]
51
[ "45+26=71", "50+72=122", "122-71=51" ]
Current State: 51:[45, 26, 50, 72], Operations: [] Exploring Operation: 45+26=71, Resulting Numbers: [50, 72, 71] Generated Node #2: [50, 72, 71] from Operation: 45+26=71 Current State: 51:[50, 72, 71], Operations: ['45+26=71'] Exploring Operation: 50+72=122, Resulting Numbers: [71, 122] Generated Node #3: [71, 122] from Operation: 50+72=122 Current State: 51:[71, 122], Operations: ['45+26=71', '50+72=122'] Exploring Operation: 122-71=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 21, 66, 92, 66 ]
70
[ "92-21=71", "66/66=1", "71-1=70" ]
Current State: 70:[21, 66, 92, 66], Operations: [] Exploring Operation: 92-21=71, Resulting Numbers: [66, 66, 71] Generated Node #2: [66, 66, 71] from Operation: 92-21=71 Current State: 70:[66, 66, 71], Operations: ['92-21=71'] Exploring Operation: 66/66=1, Resulting Numbers: [71, 1] Generated Node #3: [71, 1] from Operation: 66/66=1 Current State: 70:[71, 1], Operations: ['92-21=71', '66/66=1'] Exploring Operation: 71-1=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 29, 32, 88, 24 ]
67
[ "32-29=3", "88-24=64", "3+64=67" ]
Current State: 67:[29, 32, 88, 24], Operations: [] Exploring Operation: 32-29=3, Resulting Numbers: [88, 24, 3] Generated Node #2: [88, 24, 3] from Operation: 32-29=3 Current State: 67:[88, 24, 3], Operations: ['32-29=3'] Exploring Operation: 88-24=64, Resulting Numbers: [3, 64] Generated Node #3: [3, 64] from Operation: 88-24=64 Current State: 67:[3, 64], Operations: ['32-29=3', '88-24=64'] Exploring Operation: 3+64=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 18, 27, 3, 60 ]
100
[ "27+3=30", "60*30=1800", "1800/18=100" ]
Current State: 100:[18, 27, 3, 60], Operations: [] Exploring Operation: 27+3=30, Resulting Numbers: [18, 60, 30] Generated Node #2: [18, 60, 30] from Operation: 27+3=30 Current State: 100:[18, 60, 30], Operations: ['27+3=30'] Exploring Operation: 60*30=1800, Resulting Numbers: [18, 1800] Generated Node #3: [18, 1800] from Operation: 60*30=1800 Current State: 100:[18, 1800], Operations: ['27+3=30', '60*30=1800'] Exploring Operation: 1800/18=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 89, 54, 78, 3 ]
46
[ "89-54=35", "78+3=81", "81-35=46" ]
Current State: 46:[89, 54, 78, 3], Operations: [] Exploring Operation: 89-54=35, Resulting Numbers: [78, 3, 35] Generated Node #2: [78, 3, 35] from Operation: 89-54=35 Current State: 46:[78, 3, 35], Operations: ['89-54=35'] Exploring Operation: 78+3=81, Resulting Numbers: [35, 81] Generated Node #3: [35, 81] from Operation: 78+3=81 Current State: 46:[35, 81], Operations: ['89-54=35', '78+3=81'] Exploring Operation: 81-35=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 14, 46, 77, 55 ]
82
[ "14+46=60", "77-55=22", "60+22=82" ]
Current State: 82:[14, 46, 77, 55], Operations: [] Exploring Operation: 14+46=60, Resulting Numbers: [77, 55, 60] Generated Node #2: [77, 55, 60] from Operation: 14+46=60 Current State: 82:[77, 55, 60], Operations: ['14+46=60'] Exploring Operation: 77-55=22, Resulting Numbers: [60, 22] Generated Node #3: [60, 22] from Operation: 77-55=22 Current State: 82:[60, 22], Operations: ['14+46=60', '77-55=22'] Exploring Operation: 60+22=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 99, 10, 24, 27 ]
15
[ "99+24=123", "27+123=150", "150/10=15" ]
Current State: 15:[99, 10, 24, 27], Operations: [] Exploring Operation: 99+24=123, Resulting Numbers: [10, 27, 123] Generated Node #2: [10, 27, 123] from Operation: 99+24=123 Current State: 15:[10, 27, 123], Operations: ['99+24=123'] Exploring Operation: 27+123=150, Resulting Numbers: [10, 150] Generated Node #3: [10, 150] from Operation: 27+123=150 Current State: 15:[10, 150], Operations: ['99+24=123', '27+123=150'] Exploring Operation: 150/10=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 9, 78, 90, 87 ]
91
[ "9+78=87", "87/87=1", "90+1=91" ]
Current State: 91:[9, 78, 90, 87], Operations: [] Exploring Operation: 9+78=87, Resulting Numbers: [90, 87, 87] Generated Node #2: [90, 87, 87] from Operation: 9+78=87 Current State: 91:[90, 87, 87], Operations: ['9+78=87'] Exploring Operation: 87/87=1, Resulting Numbers: [90, 1] Generated Node #3: [90, 1] from Operation: 87/87=1 Current State: 91:[90, 1], Operations: ['9+78=87', '87/87=1'] Exploring Operation: 90+1=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 87, 72, 68, 76 ]
18
[ "87-68=19", "72*19=1368", "1368/76=18" ]
Current State: 18:[87, 72, 68, 76], Operations: [] Exploring Operation: 87-68=19, Resulting Numbers: [72, 76, 19] Generated Node #2: [72, 76, 19] from Operation: 87-68=19 Current State: 18:[72, 76, 19], Operations: ['87-68=19'] Exploring Operation: 72*19=1368, Resulting Numbers: [76, 1368] Generated Node #3: [76, 1368] from Operation: 72*19=1368 Current State: 18:[76, 1368], Operations: ['87-68=19', '72*19=1368'] Exploring Operation: 1368/76=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 35, 56, 22, 50 ]
50
[ "56-35=21", "22-21=1", "50*1=50" ]
Current State: 50:[35, 56, 22, 50], Operations: [] Exploring Operation: 56-35=21, Resulting Numbers: [22, 50, 21] Generated Node #2: [22, 50, 21] from Operation: 56-35=21 Current State: 50:[22, 50, 21], Operations: ['56-35=21'] Exploring Operation: 22-21=1, Resulting Numbers: [50, 1] Generated Node #3: [50, 1] from Operation: 22-21=1 Current State: 50:[50, 1], Operations: ['56-35=21', '22-21=1'] Exploring Operation: 50*1=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 85, 27, 20, 16 ]
13
[ "85+27=112", "112/16=7", "20-7=13" ]
Current State: 13:[85, 27, 20, 16], Operations: [] Exploring Operation: 85+27=112, Resulting Numbers: [20, 16, 112] Generated Node #2: [20, 16, 112] from Operation: 85+27=112 Current State: 13:[20, 16, 112], Operations: ['85+27=112'] Exploring Operation: 112/16=7, Resulting Numbers: [20, 7] Generated Node #3: [20, 7] from Operation: 112/16=7 Current State: 13:[20, 7], Operations: ['85+27=112', '112/16=7'] Exploring Operation: 20-7=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 54, 95, 97, 9 ]
90
[ "54-9=45", "97-95=2", "45*2=90" ]
Current State: 90:[54, 95, 97, 9], Operations: [] Exploring Operation: 54-9=45, Resulting Numbers: [95, 97, 45] Generated Node #2: [95, 97, 45] from Operation: 54-9=45 Current State: 90:[95, 97, 45], Operations: ['54-9=45'] Exploring Operation: 97-95=2, Resulting Numbers: [45, 2] Generated Node #3: [45, 2] from Operation: 97-95=2 Current State: 90:[45, 2], Operations: ['54-9=45', '97-95=2'] Exploring Operation: 45*2=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 26, 67, 14, 73 ]
34
[ "26+67=93", "73-14=59", "93-59=34" ]
Current State: 34:[26, 67, 14, 73], Operations: [] Exploring Operation: 26+67=93, Resulting Numbers: [14, 73, 93] Generated Node #2: [14, 73, 93] from Operation: 26+67=93 Current State: 34:[14, 73, 93], Operations: ['26+67=93'] Exploring Operation: 73-14=59, Resulting Numbers: [93, 59] Generated Node #3: [93, 59] from Operation: 73-14=59 Current State: 34:[93, 59], Operations: ['26+67=93', '73-14=59'] Exploring Operation: 93-59=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 34, 43, 52, 32 ]
75
[ "43-34=9", "52+32=84", "84-9=75" ]
Current State: 75:[34, 43, 52, 32], Operations: [] Exploring Operation: 43-34=9, Resulting Numbers: [52, 32, 9] Generated Node #2: [52, 32, 9] from Operation: 43-34=9 Current State: 75:[52, 32, 9], Operations: ['43-34=9'] Exploring Operation: 52+32=84, Resulting Numbers: [9, 84] Generated Node #3: [9, 84] from Operation: 52+32=84 Current State: 75:[9, 84], Operations: ['43-34=9', '52+32=84'] Exploring Operation: 84-9=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 23, 57, 7, 99 ]
17
[ "99-57=42", "42/7=6", "23-6=17" ]
Current State: 17:[23, 57, 7, 99], Operations: [] Exploring Operation: 99-57=42, Resulting Numbers: [23, 7, 42] Generated Node #2: [23, 7, 42] from Operation: 99-57=42 Current State: 17:[23, 7, 42], Operations: ['99-57=42'] Exploring Operation: 42/7=6, Resulting Numbers: [23, 6] Generated Node #3: [23, 6] from Operation: 42/7=6 Current State: 17:[23, 6], Operations: ['99-57=42', '42/7=6'] Exploring Operation: 23-6=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 37, 61, 56, 28 ]
16
[ "37+61=98", "56*28=1568", "1568/98=16" ]
Current State: 16:[37, 61, 56, 28], Operations: [] Exploring Operation: 37+61=98, Resulting Numbers: [56, 28, 98] Generated Node #2: [56, 28, 98] from Operation: 37+61=98 Current State: 16:[56, 28, 98], Operations: ['37+61=98'] Exploring Operation: 56*28=1568, Resulting Numbers: [98, 1568] Generated Node #3: [98, 1568] from Operation: 56*28=1568 Current State: 16:[98, 1568], Operations: ['37+61=98', '56*28=1568'] Exploring Operation: 1568/98=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 27, 2, 40, 91 ]
99
[ "27+91=118", "118/2=59", "40+59=99" ]
Current State: 99:[27, 2, 40, 91], Operations: [] Exploring Operation: 27+91=118, Resulting Numbers: [2, 40, 118] Generated Node #2: [2, 40, 118] from Operation: 27+91=118 Current State: 99:[2, 40, 118], Operations: ['27+91=118'] Exploring Operation: 118/2=59, Resulting Numbers: [40, 59] Generated Node #3: [40, 59] from Operation: 118/2=59 Current State: 99:[40, 59], Operations: ['27+91=118', '118/2=59'] Exploring Operation: 40+59=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 44, 10, 88, 20 ]
30
[ "88/44=2", "20*2=40", "40-10=30" ]
Current State: 30:[44, 10, 88, 20], Operations: [] Exploring Operation: 88/44=2, Resulting Numbers: [10, 20, 2] Generated Node #2: [10, 20, 2] from Operation: 88/44=2 Current State: 30:[10, 20, 2], Operations: ['88/44=2'] Exploring Operation: 20*2=40, Resulting Numbers: [10, 40] Generated Node #3: [10, 40] from Operation: 20*2=40 Current State: 30:[10, 40], Operations: ['88/44=2', '20*2=40'] Exploring Operation: 40-10=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 30, 42, 6, 4 ]
62
[ "30+42=72", "6+4=10", "72-10=62" ]
Current State: 62:[30, 42, 6, 4], Operations: [] Exploring Operation: 30+42=72, Resulting Numbers: [6, 4, 72] Generated Node #2: [6, 4, 72] from Operation: 30+42=72 Current State: 62:[6, 4, 72], Operations: ['30+42=72'] Exploring Operation: 6+4=10, Resulting Numbers: [72, 10] Generated Node #3: [72, 10] from Operation: 6+4=10 Current State: 62:[72, 10], Operations: ['30+42=72', '6+4=10'] Exploring Operation: 72-10=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 8, 81, 79, 89 ]
80
[ "8+81=89", "89/89=1", "79+1=80" ]
Current State: 80:[8, 81, 79, 89], Operations: [] Exploring Operation: 8+81=89, Resulting Numbers: [79, 89, 89] Generated Node #2: [79, 89, 89] from Operation: 8+81=89 Current State: 80:[79, 89, 89], Operations: ['8+81=89'] Exploring Operation: 89/89=1, Resulting Numbers: [79, 1] Generated Node #3: [79, 1] from Operation: 89/89=1 Current State: 80:[79, 1], Operations: ['8+81=89', '89/89=1'] Exploring Operation: 79+1=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 7, 2, 66, 10 ]
24
[ "7+2=9", "10*9=90", "90-66=24" ]
Current State: 24:[7, 2, 66, 10], Operations: [] Exploring Operation: 7+2=9, Resulting Numbers: [66, 10, 9] Generated Node #2: [66, 10, 9] from Operation: 7+2=9 Current State: 24:[66, 10, 9], Operations: ['7+2=9'] Exploring Operation: 10*9=90, Resulting Numbers: [66, 90] Generated Node #3: [66, 90] from Operation: 10*9=90 Current State: 24:[66, 90], Operations: ['7+2=9', '10*9=90'] Exploring Operation: 90-66=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 64, 57, 83, 44 ]
32
[ "64-57=7", "83-44=39", "39-7=32" ]
Current State: 32:[64, 57, 83, 44], Operations: [] Exploring Operation: 64-57=7, Resulting Numbers: [83, 44, 7] Generated Node #2: [83, 44, 7] from Operation: 64-57=7 Current State: 32:[83, 44, 7], Operations: ['64-57=7'] Exploring Operation: 83-44=39, Resulting Numbers: [7, 39] Generated Node #3: [7, 39] from Operation: 83-44=39 Current State: 32:[7, 39], Operations: ['64-57=7', '83-44=39'] Exploring Operation: 39-7=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 12, 65, 98, 99 ]
53
[ "65-12=53", "99-98=1", "53*1=53" ]
Current State: 53:[12, 65, 98, 99], Operations: [] Exploring Operation: 65-12=53, Resulting Numbers: [98, 99, 53] Generated Node #2: [98, 99, 53] from Operation: 65-12=53 Current State: 53:[98, 99, 53], Operations: ['65-12=53'] Exploring Operation: 99-98=1, Resulting Numbers: [53, 1] Generated Node #3: [53, 1] from Operation: 99-98=1 Current State: 53:[53, 1], Operations: ['65-12=53', '99-98=1'] Exploring Operation: 53*1=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 6, 12, 89, 86 ]
90
[ "12+89=101", "101-86=15", "6*15=90" ]
Current State: 90:[6, 12, 89, 86], Operations: [] Exploring Operation: 12+89=101, Resulting Numbers: [6, 86, 101] Generated Node #2: [6, 86, 101] from Operation: 12+89=101 Current State: 90:[6, 86, 101], Operations: ['12+89=101'] Exploring Operation: 101-86=15, Resulting Numbers: [6, 15] Generated Node #3: [6, 15] from Operation: 101-86=15 Current State: 90:[6, 15], Operations: ['12+89=101', '101-86=15'] Exploring Operation: 6*15=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 33, 5, 32, 19 ]
90
[ "33-32=1", "19-1=18", "5*18=90" ]
Current State: 90:[33, 5, 32, 19], Operations: [] Exploring Operation: 33-32=1, Resulting Numbers: [5, 19, 1] Generated Node #2: [5, 19, 1] from Operation: 33-32=1 Current State: 90:[5, 19, 1], Operations: ['33-32=1'] Exploring Operation: 19-1=18, Resulting Numbers: [5, 18] Generated Node #3: [5, 18] from Operation: 19-1=18 Current State: 90:[5, 18], Operations: ['33-32=1', '19-1=18'] Exploring Operation: 5*18=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 24, 97, 12, 40 ]
59
[ "24/12=2", "97-40=57", "2+57=59" ]
Current State: 59:[24, 97, 12, 40], Operations: [] Exploring Operation: 24/12=2, Resulting Numbers: [97, 40, 2] Generated Node #2: [97, 40, 2] from Operation: 24/12=2 Current State: 59:[97, 40, 2], Operations: ['24/12=2'] Exploring Operation: 97-40=57, Resulting Numbers: [2, 57] Generated Node #3: [2, 57] from Operation: 97-40=57 Current State: 59:[2, 57], Operations: ['24/12=2', '97-40=57'] Exploring Operation: 2+57=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 47, 94, 13, 52 ]
29
[ "52-47=5", "13*5=65", "94-65=29" ]
Current State: 29:[47, 94, 13, 52], Operations: [] Exploring Operation: 52-47=5, Resulting Numbers: [94, 13, 5] Generated Node #2: [94, 13, 5] from Operation: 52-47=5 Current State: 29:[94, 13, 5], Operations: ['52-47=5'] Exploring Operation: 13*5=65, Resulting Numbers: [94, 65] Generated Node #3: [94, 65] from Operation: 13*5=65 Current State: 29:[94, 65], Operations: ['52-47=5', '13*5=65'] Exploring Operation: 94-65=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 56, 60, 2, 2 ]
90
[ "56/2=28", "60+2=62", "28+62=90" ]
Current State: 90:[56, 60, 2, 2], Operations: [] Exploring Operation: 56/2=28, Resulting Numbers: [60, 28] Generated Node #2: [60, 28] from Operation: 56/2=28 Current State: 90:[60, 28], Operations: ['56/2=28'] Exploring Operation: 60+2=62, Resulting Numbers: [28, 62] Generated Node #3: [28, 62] from Operation: 60+2=62 Current State: 90:[28, 62], Operations: ['56/2=28', '60+2=62'] Exploring Operation: 28+62=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 69, 92, 2, 95 ]
29
[ "69+92=161", "2*95=190", "190-161=29" ]
Current State: 29:[69, 92, 2, 95], Operations: [] Exploring Operation: 69+92=161, Resulting Numbers: [2, 95, 161] Generated Node #2: [2, 95, 161] from Operation: 69+92=161 Current State: 29:[2, 95, 161], Operations: ['69+92=161'] Exploring Operation: 2*95=190, Resulting Numbers: [161, 190] Generated Node #3: [161, 190] from Operation: 2*95=190 Current State: 29:[161, 190], Operations: ['69+92=161', '2*95=190'] Exploring Operation: 190-161=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 41, 46, 7, 82 ]
51
[ "82/41=2", "46+7=53", "53-2=51" ]
Current State: 51:[41, 46, 7, 82], Operations: [] Exploring Operation: 82/41=2, Resulting Numbers: [46, 7, 2] Generated Node #2: [46, 7, 2] from Operation: 82/41=2 Current State: 51:[46, 7, 2], Operations: ['82/41=2'] Exploring Operation: 46+7=53, Resulting Numbers: [2, 53] Generated Node #3: [2, 53] from Operation: 46+7=53 Current State: 51:[2, 53], Operations: ['82/41=2', '46+7=53'] Exploring Operation: 53-2=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 75, 2, 77, 57 ]
97
[ "75+2=77", "77-57=20", "77+20=97" ]
Current State: 97:[75, 2, 77, 57], Operations: [] Exploring Operation: 75+2=77, Resulting Numbers: [77, 57, 77] Generated Node #2: [77, 57, 77] from Operation: 75+2=77 Current State: 97:[77, 57, 77], Operations: ['75+2=77'] Exploring Operation: 77-57=20, Resulting Numbers: [20] 20,97 equal: Goal Reached Exploring Operation: 77+20=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 6, 23, 63, 70 ]
96
[ "23+63=86", "86-70=16", "6*16=96" ]
Current State: 96:[6, 23, 63, 70], Operations: [] Exploring Operation: 23+63=86, Resulting Numbers: [6, 70, 86] Generated Node #2: [6, 70, 86] from Operation: 23+63=86 Current State: 96:[6, 70, 86], Operations: ['23+63=86'] Exploring Operation: 86-70=16, Resulting Numbers: [6, 16] Generated Node #3: [6, 16] from Operation: 86-70=16 Current State: 96:[6, 16], Operations: ['23+63=86', '86-70=16'] Exploring Operation: 6*16=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 34, 81, 51, 48 ]
49
[ "34*48=1632", "1632/51=32", "81-32=49" ]
Current State: 49:[34, 81, 51, 48], Operations: [] Exploring Operation: 34*48=1632, Resulting Numbers: [81, 51, 1632] Generated Node #2: [81, 51, 1632] from Operation: 34*48=1632 Current State: 49:[81, 51, 1632], Operations: ['34*48=1632'] Exploring Operation: 1632/51=32, Resulting Numbers: [81, 32] Generated Node #3: [81, 32] from Operation: 1632/51=32 Current State: 49:[81, 32], Operations: ['34*48=1632', '1632/51=32'] Exploring Operation: 81-32=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 28, 77, 2, 25 ]
38
[ "28/2=14", "77-25=52", "52-14=38" ]
Current State: 38:[28, 77, 2, 25], Operations: [] Exploring Operation: 28/2=14, Resulting Numbers: [77, 25, 14] Generated Node #2: [77, 25, 14] from Operation: 28/2=14 Current State: 38:[77, 25, 14], Operations: ['28/2=14'] Exploring Operation: 77-25=52, Resulting Numbers: [14, 52] Generated Node #3: [14, 52] from Operation: 77-25=52 Current State: 38:[14, 52], Operations: ['28/2=14', '77-25=52'] Exploring Operation: 52-14=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 35, 22, 44, 28 ]
15
[ "35+22=57", "44+28=72", "72-57=15" ]
Current State: 15:[35, 22, 44, 28], Operations: [] Exploring Operation: 35+22=57, Resulting Numbers: [44, 28, 57] Generated Node #2: [44, 28, 57] from Operation: 35+22=57 Current State: 15:[44, 28, 57], Operations: ['35+22=57'] Exploring Operation: 44+28=72, Resulting Numbers: [57, 72] Generated Node #3: [57, 72] from Operation: 44+28=72 Current State: 15:[57, 72], Operations: ['35+22=57', '44+28=72'] Exploring Operation: 72-57=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 84, 30, 72, 21 ]
63
[ "84+30=114", "72-21=51", "114-51=63" ]
Current State: 63:[84, 30, 72, 21], Operations: [] Exploring Operation: 84+30=114, Resulting Numbers: [72, 21, 114] Generated Node #2: [72, 21, 114] from Operation: 84+30=114 Current State: 63:[72, 21, 114], Operations: ['84+30=114'] Exploring Operation: 72-21=51, Resulting Numbers: [114, 51] Generated Node #3: [114, 51] from Operation: 72-21=51 Current State: 63:[114, 51], Operations: ['84+30=114', '72-21=51'] Exploring Operation: 114-51=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 37, 13, 22, 7 ]
32
[ "37+22=59", "13*7=91", "91-59=32" ]
Current State: 32:[37, 13, 22, 7], Operations: [] Exploring Operation: 37+22=59, Resulting Numbers: [13, 7, 59] Generated Node #2: [13, 7, 59] from Operation: 37+22=59 Current State: 32:[13, 7, 59], Operations: ['37+22=59'] Exploring Operation: 13*7=91, Resulting Numbers: [59, 91] Generated Node #3: [59, 91] from Operation: 13*7=91 Current State: 32:[59, 91], Operations: ['37+22=59', '13*7=91'] Exploring Operation: 91-59=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 78, 50, 70, 19 ]
79
[ "78-50=28", "70-19=51", "28+51=79" ]
Current State: 79:[78, 50, 70, 19], Operations: [] Exploring Operation: 78-50=28, Resulting Numbers: [70, 19, 28] Generated Node #2: [70, 19, 28] from Operation: 78-50=28 Current State: 79:[70, 19, 28], Operations: ['78-50=28'] Exploring Operation: 70-19=51, Resulting Numbers: [28, 51] Generated Node #3: [28, 51] from Operation: 70-19=51 Current State: 79:[28, 51], Operations: ['78-50=28', '70-19=51'] Exploring Operation: 28+51=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 37, 74, 63, 40 ]
95
[ "40-37=3", "63/3=21", "74+21=95" ]
Current State: 95:[37, 74, 63, 40], Operations: [] Exploring Operation: 40-37=3, Resulting Numbers: [74, 63, 3] Generated Node #2: [74, 63, 3] from Operation: 40-37=3 Current State: 95:[74, 63, 3], Operations: ['40-37=3'] Exploring Operation: 63/3=21, Resulting Numbers: [74, 21] Generated Node #3: [74, 21] from Operation: 63/3=21 Current State: 95:[74, 21], Operations: ['40-37=3', '63/3=21'] Exploring Operation: 74+21=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 28, 56, 88, 71 ]
45
[ "56-28=28", "88-71=17", "28+17=45" ]
Current State: 45:[28, 56, 88, 71], Operations: [] Exploring Operation: 56-28=28, Resulting Numbers: [88, 71, 28] Generated Node #2: [88, 71, 28] from Operation: 56-28=28 Current State: 45:[88, 71, 28], Operations: ['56-28=28'] Exploring Operation: 88-71=17, Resulting Numbers: [28, 17] Generated Node #3: [28, 17] from Operation: 88-71=17 Current State: 45:[28, 17], Operations: ['56-28=28', '88-71=17'] Exploring Operation: 28+17=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 60, 93, 46, 41 ]
54
[ "93-60=33", "46+41=87", "87-33=54" ]
Current State: 54:[60, 93, 46, 41], Operations: [] Exploring Operation: 93-60=33, Resulting Numbers: [46, 41, 33] Generated Node #2: [46, 41, 33] from Operation: 93-60=33 Current State: 54:[46, 41, 33], Operations: ['93-60=33'] Exploring Operation: 46+41=87, Resulting Numbers: [33, 87] Generated Node #3: [33, 87] from Operation: 46+41=87 Current State: 54:[33, 87], Operations: ['93-60=33', '46+41=87'] Exploring Operation: 87-33=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 61, 96, 66, 64 ]
13
[ "66-64=2", "96/2=48", "61-48=13" ]
Current State: 13:[61, 96, 66, 64], Operations: [] Exploring Operation: 66-64=2, Resulting Numbers: [61, 96, 2] Generated Node #2: [61, 96, 2] from Operation: 66-64=2 Current State: 13:[61, 96, 2], Operations: ['66-64=2'] Exploring Operation: 96/2=48, Resulting Numbers: [61, 48] Generated Node #3: [61, 48] from Operation: 96/2=48 Current State: 13:[61, 48], Operations: ['66-64=2', '96/2=48'] Exploring Operation: 61-48=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 40, 78, 34, 6 ]
78
[ "40+78=118", "34+6=40", "118-40=78" ]
Current State: 78:[40, 78, 34, 6], Operations: [] Exploring Operation: 40+78=118, Resulting Numbers: [34, 6, 118] Generated Node #2: [34, 6, 118] from Operation: 40+78=118 Current State: 78:[34, 6, 118], Operations: ['40+78=118'] Exploring Operation: 34+6=40, Resulting Numbers: [118, 40] Generated Node #3: [118, 40] from Operation: 34+6=40 Current State: 78:[118, 40], Operations: ['40+78=118', '34+6=40'] Exploring Operation: 118-40=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 86, 29, 2, 93 ]
44
[ "86+29=115", "115-93=22", "2*22=44" ]
Current State: 44:[86, 29, 2, 93], Operations: [] Exploring Operation: 86+29=115, Resulting Numbers: [2, 93, 115] Generated Node #2: [2, 93, 115] from Operation: 86+29=115 Current State: 44:[2, 93, 115], Operations: ['86+29=115'] Exploring Operation: 115-93=22, Resulting Numbers: [2, 22] Generated Node #3: [2, 22] from Operation: 115-93=22 Current State: 44:[2, 22], Operations: ['86+29=115', '115-93=22'] Exploring Operation: 2*22=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 8, 46, 33, 62 ]
31
[ "62-46=16", "16/8=2", "33-2=31" ]
Current State: 31:[8, 46, 33, 62], Operations: [] Exploring Operation: 62-46=16, Resulting Numbers: [8, 33, 16] Generated Node #2: [8, 33, 16] from Operation: 62-46=16 Current State: 31:[8, 33, 16], Operations: ['62-46=16'] Exploring Operation: 16/8=2, Resulting Numbers: [33, 2] Generated Node #3: [33, 2] from Operation: 16/8=2 Current State: 31:[33, 2], Operations: ['62-46=16', '16/8=2'] Exploring Operation: 33-2=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 87, 3, 64, 90 ]
65
[ "87+3=90", "90/90=1", "64+1=65" ]
Current State: 65:[87, 3, 64, 90], Operations: [] Exploring Operation: 87+3=90, Resulting Numbers: [64, 90, 90] Generated Node #2: [64, 90, 90] from Operation: 87+3=90 Current State: 65:[64, 90, 90], Operations: ['87+3=90'] Exploring Operation: 90/90=1, Resulting Numbers: [64, 1] Generated Node #3: [64, 1] from Operation: 90/90=1 Current State: 65:[64, 1], Operations: ['87+3=90', '90/90=1'] Exploring Operation: 64+1=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 44, 16, 33, 4 ]
79
[ "44-16=28", "4*28=112", "112-33=79" ]
Current State: 79:[44, 16, 33, 4], Operations: [] Exploring Operation: 44-16=28, Resulting Numbers: [33, 4, 28] Generated Node #2: [33, 4, 28] from Operation: 44-16=28 Current State: 79:[33, 4, 28], Operations: ['44-16=28'] Exploring Operation: 4*28=112, Resulting Numbers: [33, 112] Generated Node #3: [33, 112] from Operation: 4*28=112 Current State: 79:[33, 112], Operations: ['44-16=28', '4*28=112'] Exploring Operation: 112-33=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 77, 39, 52, 39 ]
87
[ "77+39=116", "39*116=4524", "4524/52=87" ]
Current State: 87:[77, 39, 52, 39], Operations: [] Exploring Operation: 77+39=116, Resulting Numbers: [52, 116] Generated Node #2: [52, 116] from Operation: 77+39=116 Current State: 87:[52, 116], Operations: ['77+39=116'] Exploring Operation: 39*116=4524, Resulting Numbers: [52, 4524] Generated Node #3: [52, 4524] from Operation: 39*116=4524 Current State: 87:[52, 4524], Operations: ['77+39=116', '39*116=4524'] Exploring Operation: 4524/52=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 18, 15, 52, 8 ]
86
[ "52-18=34", "15*8=120", "120-34=86" ]
Current State: 86:[18, 15, 52, 8], Operations: [] Exploring Operation: 52-18=34, Resulting Numbers: [15, 8, 34] Generated Node #2: [15, 8, 34] from Operation: 52-18=34 Current State: 86:[15, 8, 34], Operations: ['52-18=34'] Exploring Operation: 15*8=120, Resulting Numbers: [34, 120] Generated Node #3: [34, 120] from Operation: 15*8=120 Current State: 86:[34, 120], Operations: ['52-18=34', '15*8=120'] Exploring Operation: 120-34=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 40, 88, 21, 46 ]
20
[ "40*21=840", "88-46=42", "840/42=20" ]
Current State: 20:[40, 88, 21, 46], Operations: [] Exploring Operation: 40*21=840, Resulting Numbers: [88, 46, 840] Generated Node #2: [88, 46, 840] from Operation: 40*21=840 Current State: 20:[88, 46, 840], Operations: ['40*21=840'] Exploring Operation: 88-46=42, Resulting Numbers: [840, 42] Generated Node #3: [840, 42] from Operation: 88-46=42 Current State: 20:[840, 42], Operations: ['40*21=840', '88-46=42'] Exploring Operation: 840/42=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 60, 98, 49, 78 ]
46
[ "98-78=20", "60/20=3", "49-3=46" ]
Current State: 46:[60, 98, 49, 78], Operations: [] Exploring Operation: 98-78=20, Resulting Numbers: [60, 49, 20] Generated Node #2: [60, 49, 20] from Operation: 98-78=20 Current State: 46:[60, 49, 20], Operations: ['98-78=20'] Exploring Operation: 60/20=3, Resulting Numbers: [49, 3] Generated Node #3: [49, 3] from Operation: 60/20=3 Current State: 46:[49, 3], Operations: ['98-78=20', '60/20=3'] Exploring Operation: 49-3=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 54, 81, 55, 28 ]
52
[ "54+81=135", "55+28=83", "135-83=52" ]
Current State: 52:[54, 81, 55, 28], Operations: [] Exploring Operation: 54+81=135, Resulting Numbers: [55, 28, 135] Generated Node #2: [55, 28, 135] from Operation: 54+81=135 Current State: 52:[55, 28, 135], Operations: ['54+81=135'] Exploring Operation: 55+28=83, Resulting Numbers: [135, 83] Generated Node #3: [135, 83] from Operation: 55+28=83 Current State: 52:[135, 83], Operations: ['54+81=135', '55+28=83'] Exploring Operation: 135-83=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 3, 86, 47, 5 ]
74
[ "86-5=81", "81/3=27", "47+27=74" ]
Current State: 74:[3, 86, 47, 5], Operations: [] Exploring Operation: 86-5=81, Resulting Numbers: [3, 47, 81] Generated Node #2: [3, 47, 81] from Operation: 86-5=81 Current State: 74:[3, 47, 81], Operations: ['86-5=81'] Exploring Operation: 81/3=27, Resulting Numbers: [47, 27] Generated Node #3: [47, 27] from Operation: 81/3=27 Current State: 74:[47, 27], Operations: ['86-5=81', '81/3=27'] Exploring Operation: 47+27=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 56, 41, 6, 5 ]
51
[ "56-6=50", "50/5=10", "41+10=51" ]
Current State: 51:[56, 41, 6, 5], Operations: [] Exploring Operation: 56-6=50, Resulting Numbers: [41, 5, 50] Generated Node #2: [41, 5, 50] from Operation: 56-6=50 Current State: 51:[41, 5, 50], Operations: ['56-6=50'] Exploring Operation: 50/5=10, Resulting Numbers: [41, 10] Generated Node #3: [41, 10] from Operation: 50/5=10 Current State: 51:[41, 10], Operations: ['56-6=50', '50/5=10'] Exploring Operation: 41+10=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 77, 29, 66, 52 ]
70
[ "77-29=48", "66+52=118", "118-48=70" ]
Current State: 70:[77, 29, 66, 52], Operations: [] Exploring Operation: 77-29=48, Resulting Numbers: [66, 52, 48] Generated Node #2: [66, 52, 48] from Operation: 77-29=48 Current State: 70:[66, 52, 48], Operations: ['77-29=48'] Exploring Operation: 66+52=118, Resulting Numbers: [48, 118] Generated Node #3: [48, 118] from Operation: 66+52=118 Current State: 70:[48, 118], Operations: ['77-29=48', '66+52=118'] Exploring Operation: 118-48=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 33, 8, 41, 39 ]
49
[ "41-39=2", "8*2=16", "33+16=49" ]
Current State: 49:[33, 8, 41, 39], Operations: [] Exploring Operation: 41-39=2, Resulting Numbers: [33, 8, 2] Generated Node #2: [33, 8, 2] from Operation: 41-39=2 Current State: 49:[33, 8, 2], Operations: ['41-39=2'] Exploring Operation: 8*2=16, Resulting Numbers: [33, 16] Generated Node #3: [33, 16] from Operation: 8*2=16 Current State: 49:[33, 16], Operations: ['41-39=2', '8*2=16'] Exploring Operation: 33+16=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 24, 87, 31, 2 ]
88
[ "87-31=56", "2*56=112", "112-24=88" ]
Current State: 88:[24, 87, 31, 2], Operations: [] Exploring Operation: 87-31=56, Resulting Numbers: [24, 2, 56] Generated Node #2: [24, 2, 56] from Operation: 87-31=56 Current State: 88:[24, 2, 56], Operations: ['87-31=56'] Exploring Operation: 2*56=112, Resulting Numbers: [24, 112] Generated Node #3: [24, 112] from Operation: 2*56=112 Current State: 88:[24, 112], Operations: ['87-31=56', '2*56=112'] Exploring Operation: 112-24=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 40, 38, 29, 11 ]
37
[ "40-29=11", "11/11=1", "38-1=37" ]
Current State: 37:[40, 38, 29, 11], Operations: [] Exploring Operation: 40-29=11, Resulting Numbers: [38, 11, 11] Generated Node #2: [38, 11, 11] from Operation: 40-29=11 Current State: 37:[38, 11, 11], Operations: ['40-29=11'] Exploring Operation: 11/11=1, Resulting Numbers: [38, 1] Generated Node #3: [38, 1] from Operation: 11/11=1 Current State: 37:[38, 1], Operations: ['40-29=11', '11/11=1'] Exploring Operation: 38-1=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 40, 2, 22, 37 ]
16
[ "40-37=3", "2*3=6", "22-6=16" ]
Current State: 16:[40, 2, 22, 37], Operations: [] Exploring Operation: 40-37=3, Resulting Numbers: [2, 22, 3] Generated Node #2: [2, 22, 3] from Operation: 40-37=3 Current State: 16:[2, 22, 3], Operations: ['40-37=3'] Exploring Operation: 2*3=6, Resulting Numbers: [22, 6] Generated Node #3: [22, 6] from Operation: 2*3=6 Current State: 16:[22, 6], Operations: ['40-37=3', '2*3=6'] Exploring Operation: 22-6=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 61, 58, 2, 34 ]
96
[ "61-58=3", "34-2=32", "3*32=96" ]
Current State: 96:[61, 58, 2, 34], Operations: [] Exploring Operation: 61-58=3, Resulting Numbers: [2, 34, 3] Generated Node #2: [2, 34, 3] from Operation: 61-58=3 Current State: 96:[2, 34, 3], Operations: ['61-58=3'] Exploring Operation: 34-2=32, Resulting Numbers: [3, 32] Generated Node #3: [3, 32] from Operation: 34-2=32 Current State: 96:[3, 32], Operations: ['61-58=3', '34-2=32'] Exploring Operation: 3*32=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 11, 40, 28, 17 ]
44
[ "40+28=68", "11*68=748", "748/17=44" ]
Current State: 44:[11, 40, 28, 17], Operations: [] Exploring Operation: 40+28=68, Resulting Numbers: [11, 17, 68] Generated Node #2: [11, 17, 68] from Operation: 40+28=68 Current State: 44:[11, 17, 68], Operations: ['40+28=68'] Exploring Operation: 11*68=748, Resulting Numbers: [17, 748] Generated Node #3: [17, 748] from Operation: 11*68=748 Current State: 44:[17, 748], Operations: ['40+28=68', '11*68=748'] Exploring Operation: 748/17=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 67, 61, 85, 32 ]
81
[ "67+61=128", "128/32=4", "85-4=81" ]
Current State: 81:[67, 61, 85, 32], Operations: [] Exploring Operation: 67+61=128, Resulting Numbers: [85, 32, 128] Generated Node #2: [85, 32, 128] from Operation: 67+61=128 Current State: 81:[85, 32, 128], Operations: ['67+61=128'] Exploring Operation: 128/32=4, Resulting Numbers: [85, 4] Generated Node #3: [85, 4] from Operation: 128/32=4 Current State: 81:[85, 4], Operations: ['67+61=128', '128/32=4'] Exploring Operation: 85-4=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 93, 11, 11, 8 ]
42
[ "11-8=3", "93/3=31", "11+31=42" ]
Current State: 42:[93, 11, 11, 8], Operations: [] Exploring Operation: 11-8=3, Resulting Numbers: [93, 3] Generated Node #2: [93, 3] from Operation: 11-8=3 Current State: 42:[93, 3], Operations: ['11-8=3'] Exploring Operation: 93/3=31, Resulting Numbers: [31] 31,42 equal: Goal Reached Exploring Operation: 11+31=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 2, 22, 70, 20 ]
34
[ "70-2=68", "22-20=2", "68/2=34" ]
Current State: 34:[2, 22, 70, 20], Operations: [] Exploring Operation: 70-2=68, Resulting Numbers: [22, 20, 68] Generated Node #2: [22, 20, 68] from Operation: 70-2=68 Current State: 34:[22, 20, 68], Operations: ['70-2=68'] Exploring Operation: 22-20=2, Resulting Numbers: [68, 2] Generated Node #3: [68, 2] from Operation: 22-20=2 Current State: 34:[68, 2], Operations: ['70-2=68', '22-20=2'] Exploring Operation: 68/2=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 38, 2, 5, 52 ]
34
[ "38+5=43", "2*43=86", "86-52=34" ]
Current State: 34:[38, 2, 5, 52], Operations: [] Exploring Operation: 38+5=43, Resulting Numbers: [2, 52, 43] Generated Node #2: [2, 52, 43] from Operation: 38+5=43 Current State: 34:[2, 52, 43], Operations: ['38+5=43'] Exploring Operation: 2*43=86, Resulting Numbers: [52, 86] Generated Node #3: [52, 86] from Operation: 2*43=86 Current State: 34:[52, 86], Operations: ['38+5=43', '2*43=86'] Exploring Operation: 86-52=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 8, 63, 14, 17 ]
66
[ "8*14=112", "63-17=46", "112-46=66" ]
Current State: 66:[8, 63, 14, 17], Operations: [] Exploring Operation: 8*14=112, Resulting Numbers: [63, 17, 112] Generated Node #2: [63, 17, 112] from Operation: 8*14=112 Current State: 66:[63, 17, 112], Operations: ['8*14=112'] Exploring Operation: 63-17=46, Resulting Numbers: [112, 46] Generated Node #3: [112, 46] from Operation: 63-17=46 Current State: 66:[112, 46], Operations: ['8*14=112', '63-17=46'] Exploring Operation: 112-46=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 15, 35, 93, 9 ]
48
[ "15*35=525", "525-93=432", "432/9=48" ]
Current State: 48:[15, 35, 93, 9], Operations: [] Exploring Operation: 15*35=525, Resulting Numbers: [93, 9, 525] Generated Node #2: [93, 9, 525] from Operation: 15*35=525 Current State: 48:[93, 9, 525], Operations: ['15*35=525'] Exploring Operation: 525-93=432, Resulting Numbers: [9, 432] Generated Node #3: [9, 432] from Operation: 525-93=432 Current State: 48:[9, 432], Operations: ['15*35=525', '525-93=432'] Exploring Operation: 432/9=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 18, 16, 70, 4 ]
68
[ "18-16=2", "70-4=66", "2+66=68" ]
Current State: 68:[18, 16, 70, 4], Operations: [] Exploring Operation: 18-16=2, Resulting Numbers: [70, 4, 2] Generated Node #2: [70, 4, 2] from Operation: 18-16=2 Current State: 68:[70, 4, 2], Operations: ['18-16=2'] Exploring Operation: 70-4=66, Resulting Numbers: [2, 66] Generated Node #3: [2, 66] from Operation: 70-4=66 Current State: 68:[2, 66], Operations: ['18-16=2', '70-4=66'] Exploring Operation: 2+66=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 92, 43, 6, 29 ]
47
[ "29-6=23", "92/23=4", "43+4=47" ]
Current State: 47:[92, 43, 6, 29], Operations: [] Exploring Operation: 29-6=23, Resulting Numbers: [92, 43, 23] Generated Node #2: [92, 43, 23] from Operation: 29-6=23 Current State: 47:[92, 43, 23], Operations: ['29-6=23'] Exploring Operation: 92/23=4, Resulting Numbers: [43, 4] Generated Node #3: [43, 4] from Operation: 92/23=4 Current State: 47:[43, 4], Operations: ['29-6=23', '92/23=4'] Exploring Operation: 43+4=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 8, 51, 64, 54 ]
49
[ "8+51=59", "64-54=10", "59-10=49" ]
Current State: 49:[8, 51, 64, 54], Operations: [] Exploring Operation: 8+51=59, Resulting Numbers: [64, 54, 59] Generated Node #2: [64, 54, 59] from Operation: 8+51=59 Current State: 49:[64, 54, 59], Operations: ['8+51=59'] Exploring Operation: 64-54=10, Resulting Numbers: [59, 10] Generated Node #3: [59, 10] from Operation: 64-54=10 Current State: 49:[59, 10], Operations: ['8+51=59', '64-54=10'] Exploring Operation: 59-10=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 70, 2, 32, 64 ]
90
[ "70-32=38", "2*64=128", "128-38=90" ]
Current State: 90:[70, 2, 32, 64], Operations: [] Exploring Operation: 70-32=38, Resulting Numbers: [2, 64, 38] Generated Node #2: [2, 64, 38] from Operation: 70-32=38 Current State: 90:[2, 64, 38], Operations: ['70-32=38'] Exploring Operation: 2*64=128, Resulting Numbers: [38, 128] Generated Node #3: [38, 128] from Operation: 2*64=128 Current State: 90:[38, 128], Operations: ['70-32=38', '2*64=128'] Exploring Operation: 128-38=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 56, 8, 58, 64 ]
70
[ "56+8=64", "64-58=6", "64+6=70" ]
Current State: 70:[56, 8, 58, 64], Operations: [] Exploring Operation: 56+8=64, Resulting Numbers: [58, 64, 64] Generated Node #2: [58, 64, 64] from Operation: 56+8=64 Current State: 70:[58, 64, 64], Operations: ['56+8=64'] Exploring Operation: 64-58=6, Resulting Numbers: [6] 6,70 equal: Goal Reached Exploring Operation: 64+6=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 14, 54, 93, 95 ]
13
[ "95-93=2", "54/2=27", "27-14=13" ]
Current State: 13:[14, 54, 93, 95], Operations: [] Exploring Operation: 95-93=2, Resulting Numbers: [14, 54, 2] Generated Node #2: [14, 54, 2] from Operation: 95-93=2 Current State: 13:[14, 54, 2], Operations: ['95-93=2'] Exploring Operation: 54/2=27, Resulting Numbers: [14, 27] Generated Node #3: [14, 27] from Operation: 54/2=27 Current State: 13:[14, 27], Operations: ['95-93=2', '54/2=27'] Exploring Operation: 27-14=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 15, 28, 8, 42 ]
63
[ "28-15=13", "8+42=50", "13+50=63" ]
Current State: 63:[15, 28, 8, 42], Operations: [] Exploring Operation: 28-15=13, Resulting Numbers: [8, 42, 13] Generated Node #2: [8, 42, 13] from Operation: 28-15=13 Current State: 63:[8, 42, 13], Operations: ['28-15=13'] Exploring Operation: 8+42=50, Resulting Numbers: [13, 50] Generated Node #3: [13, 50] from Operation: 8+42=50 Current State: 63:[13, 50], Operations: ['28-15=13', '8+42=50'] Exploring Operation: 13+50=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 25, 7, 4, 17 ]
76
[ "25*4=100", "7+17=24", "100-24=76" ]
Current State: 76:[25, 7, 4, 17], Operations: [] Exploring Operation: 25*4=100, Resulting Numbers: [7, 17, 100] Generated Node #2: [7, 17, 100] from Operation: 25*4=100 Current State: 76:[7, 17, 100], Operations: ['25*4=100'] Exploring Operation: 7+17=24, Resulting Numbers: [100, 24] Generated Node #3: [100, 24] from Operation: 7+17=24 Current State: 76:[100, 24], Operations: ['25*4=100', '7+17=24'] Exploring Operation: 100-24=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 93, 41, 14, 19 ]
85
[ "93-41=52", "14+19=33", "52+33=85" ]
Current State: 85:[93, 41, 14, 19], Operations: [] Exploring Operation: 93-41=52, Resulting Numbers: [14, 19, 52] Generated Node #2: [14, 19, 52] from Operation: 93-41=52 Current State: 85:[14, 19, 52], Operations: ['93-41=52'] Exploring Operation: 14+19=33, Resulting Numbers: [52, 33] Generated Node #3: [52, 33] from Operation: 14+19=33 Current State: 85:[52, 33], Operations: ['93-41=52', '14+19=33'] Exploring Operation: 52+33=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 11, 60, 70, 5 ]
75
[ "11*5=55", "60+70=130", "130-55=75" ]
Current State: 75:[11, 60, 70, 5], Operations: [] Exploring Operation: 11*5=55, Resulting Numbers: [60, 70, 55] Generated Node #2: [60, 70, 55] from Operation: 11*5=55 Current State: 75:[60, 70, 55], Operations: ['11*5=55'] Exploring Operation: 60+70=130, Resulting Numbers: [55, 130] Generated Node #3: [55, 130] from Operation: 60+70=130 Current State: 75:[55, 130], Operations: ['11*5=55', '60+70=130'] Exploring Operation: 130-55=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 64, 6, 63, 38 ]
65
[ "38-6=32", "64/32=2", "63+2=65" ]
Current State: 65:[64, 6, 63, 38], Operations: [] Exploring Operation: 38-6=32, Resulting Numbers: [64, 63, 32] Generated Node #2: [64, 63, 32] from Operation: 38-6=32 Current State: 65:[64, 63, 32], Operations: ['38-6=32'] Exploring Operation: 64/32=2, Resulting Numbers: [63, 2] Generated Node #3: [63, 2] from Operation: 64/32=2 Current State: 65:[63, 2], Operations: ['38-6=32', '64/32=2'] Exploring Operation: 63+2=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 22, 61, 88, 56 ]
75
[ "88/22=4", "56/4=14", "61+14=75" ]
Current State: 75:[22, 61, 88, 56], Operations: [] Exploring Operation: 88/22=4, Resulting Numbers: [61, 56, 4] Generated Node #2: [61, 56, 4] from Operation: 88/22=4 Current State: 75:[61, 56, 4], Operations: ['88/22=4'] Exploring Operation: 56/4=14, Resulting Numbers: [61, 14] Generated Node #3: [61, 14] from Operation: 56/4=14 Current State: 75:[61, 14], Operations: ['88/22=4', '56/4=14'] Exploring Operation: 61+14=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 75, 45, 11, 15 ]
51
[ "75/15=5", "45+11=56", "56-5=51" ]
Current State: 51:[75, 45, 11, 15], Operations: [] Exploring Operation: 75/15=5, Resulting Numbers: [45, 11, 5] Generated Node #2: [45, 11, 5] from Operation: 75/15=5 Current State: 51:[45, 11, 5], Operations: ['75/15=5'] Exploring Operation: 45+11=56, Resulting Numbers: [5, 56] Generated Node #3: [5, 56] from Operation: 45+11=56 Current State: 51:[5, 56], Operations: ['75/15=5', '45+11=56'] Exploring Operation: 56-5=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 3, 12, 15, 35 ]
22
[ "3*15=45", "35-12=23", "45-23=22" ]
Current State: 22:[3, 12, 15, 35], Operations: [] Exploring Operation: 3*15=45, Resulting Numbers: [12, 35, 45] Generated Node #2: [12, 35, 45] from Operation: 3*15=45 Current State: 22:[12, 35, 45], Operations: ['3*15=45'] Exploring Operation: 35-12=23, Resulting Numbers: [45, 23] Generated Node #3: [45, 23] from Operation: 35-12=23 Current State: 22:[45, 23], Operations: ['3*15=45', '35-12=23'] Exploring Operation: 45-23=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 2, 66, 83, 99 ]
54
[ "83-2=81", "66*81=5346", "5346/99=54" ]
Current State: 54:[2, 66, 83, 99], Operations: [] Exploring Operation: 83-2=81, Resulting Numbers: [66, 99, 81] Generated Node #2: [66, 99, 81] from Operation: 83-2=81 Current State: 54:[66, 99, 81], Operations: ['83-2=81'] Exploring Operation: 66*81=5346, Resulting Numbers: [99, 5346] Generated Node #3: [99, 5346] from Operation: 66*81=5346 Current State: 54:[99, 5346], Operations: ['83-2=81', '66*81=5346'] Exploring Operation: 5346/99=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 9, 69, 73, 17 ]
19
[ "73-69=4", "9*4=36", "36-17=19" ]
Current State: 19:[9, 69, 73, 17], Operations: [] Exploring Operation: 73-69=4, Resulting Numbers: [9, 17, 4] Generated Node #2: [9, 17, 4] from Operation: 73-69=4 Current State: 19:[9, 17, 4], Operations: ['73-69=4'] Exploring Operation: 9*4=36, Resulting Numbers: [17, 36] Generated Node #3: [17, 36] from Operation: 9*4=36 Current State: 19:[17, 36], Operations: ['73-69=4', '9*4=36'] Exploring Operation: 36-17=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 89, 60, 57, 39 ]
51
[ "89*39=3471", "60*57=3420", "3471-3420=51" ]
Current State: 51:[89, 60, 57, 39], Operations: [] Exploring Operation: 89*39=3471, Resulting Numbers: [60, 57, 3471] Generated Node #2: [60, 57, 3471] from Operation: 89*39=3471 Current State: 51:[60, 57, 3471], Operations: ['89*39=3471'] Exploring Operation: 60*57=3420, Resulting Numbers: [3471, 3420] Generated Node #3: [3471, 3420] from Operation: 60*57=3420 Current State: 51:[3471, 3420], Operations: ['89*39=3471', '60*57=3420'] Exploring Operation: 3471-3420=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 24, 46, 92, 27 ]
15
[ "24*46=1104", "1104/92=12", "27-12=15" ]
Current State: 15:[24, 46, 92, 27], Operations: [] Exploring Operation: 24*46=1104, Resulting Numbers: [92, 27, 1104] Generated Node #2: [92, 27, 1104] from Operation: 24*46=1104 Current State: 15:[92, 27, 1104], Operations: ['24*46=1104'] Exploring Operation: 1104/92=12, Resulting Numbers: [27, 12] Generated Node #3: [27, 12] from Operation: 1104/92=12 Current State: 15:[27, 12], Operations: ['24*46=1104', '1104/92=12'] Exploring Operation: 27-12=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 7, 24, 45, 67 ]
56
[ "7*24=168", "45+67=112", "168-112=56" ]
Current State: 56:[7, 24, 45, 67], Operations: [] Exploring Operation: 7*24=168, Resulting Numbers: [45, 67, 168] Generated Node #2: [45, 67, 168] from Operation: 7*24=168 Current State: 56:[45, 67, 168], Operations: ['7*24=168'] Exploring Operation: 45+67=112, Resulting Numbers: [168, 112] Generated Node #3: [168, 112] from Operation: 45+67=112 Current State: 56:[168, 112], Operations: ['7*24=168', '45+67=112'] Exploring Operation: 168-112=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 81, 27, 77, 66 ]
14
[ "81/27=3", "77-66=11", "3+11=14" ]
Current State: 14:[81, 27, 77, 66], Operations: [] Exploring Operation: 81/27=3, Resulting Numbers: [77, 66, 3] Generated Node #2: [77, 66, 3] from Operation: 81/27=3 Current State: 14:[77, 66, 3], Operations: ['81/27=3'] Exploring Operation: 77-66=11, Resulting Numbers: [3, 11] Generated Node #3: [3, 11] from Operation: 77-66=11 Current State: 14:[3, 11], Operations: ['81/27=3', '77-66=11'] Exploring Operation: 3+11=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 42, 97, 63, 51 ]
25
[ "42+97=139", "63+51=114", "139-114=25" ]
Current State: 25:[42, 97, 63, 51], Operations: [] Exploring Operation: 42+97=139, Resulting Numbers: [63, 51, 139] Generated Node #2: [63, 51, 139] from Operation: 42+97=139 Current State: 25:[63, 51, 139], Operations: ['42+97=139'] Exploring Operation: 63+51=114, Resulting Numbers: [139, 114] Generated Node #3: [139, 114] from Operation: 63+51=114 Current State: 25:[139, 114], Operations: ['42+97=139', '63+51=114'] Exploring Operation: 139-114=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 83, 15, 55, 37 ]
63
[ "83+37=120", "120/15=8", "55+8=63" ]
Current State: 63:[83, 15, 55, 37], Operations: [] Exploring Operation: 83+37=120, Resulting Numbers: [15, 55, 120] Generated Node #2: [15, 55, 120] from Operation: 83+37=120 Current State: 63:[15, 55, 120], Operations: ['83+37=120'] Exploring Operation: 120/15=8, Resulting Numbers: [55, 8] Generated Node #3: [55, 8] from Operation: 120/15=8 Current State: 63:[55, 8], Operations: ['83+37=120', '120/15=8'] Exploring Operation: 55+8=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 96, 3, 23, 15 ]
28
[ "96-23=73", "3*15=45", "73-45=28" ]
Current State: 28:[96, 3, 23, 15], Operations: [] Exploring Operation: 96-23=73, Resulting Numbers: [3, 15, 73] Generated Node #2: [3, 15, 73] from Operation: 96-23=73 Current State: 28:[3, 15, 73], Operations: ['96-23=73'] Exploring Operation: 3*15=45, Resulting Numbers: [73, 45] Generated Node #3: [73, 45] from Operation: 3*15=45 Current State: 28:[73, 45], Operations: ['96-23=73', '3*15=45'] Exploring Operation: 73-45=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 40, 95, 37, 5 ]
88
[ "95*37=3515", "5+3515=3520", "3520/40=88" ]
Current State: 88:[40, 95, 37, 5], Operations: [] Exploring Operation: 95*37=3515, Resulting Numbers: [40, 5, 3515] Generated Node #2: [40, 5, 3515] from Operation: 95*37=3515 Current State: 88:[40, 5, 3515], Operations: ['95*37=3515'] Exploring Operation: 5+3515=3520, Resulting Numbers: [40, 3520] Generated Node #3: [40, 3520] from Operation: 5+3515=3520 Current State: 88:[40, 3520], Operations: ['95*37=3515', '5+3515=3520'] Exploring Operation: 3520/40=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 92, 73, 22, 15 ]
11
[ "92+73=165", "165/15=11", "22-11=11" ]
Current State: 11:[92, 73, 22, 15], Operations: [] Exploring Operation: 92+73=165, Resulting Numbers: [22, 15, 165] Generated Node #2: [22, 15, 165] from Operation: 92+73=165 Current State: 11:[22, 15, 165], Operations: ['92+73=165'] Exploring Operation: 165/15=11, Resulting Numbers: [22, 11] Generated Node #3: [22, 11] from Operation: 165/15=11 Current State: 11:[22, 11], Operations: ['92+73=165', '165/15=11'] Exploring Operation: 22-11=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 22, 71, 78, 1 ]
29
[ "71-22=49", "78*1=78", "78-49=29" ]
Current State: 29:[22, 71, 78, 1], Operations: [] Exploring Operation: 71-22=49, Resulting Numbers: [78, 1, 49] Generated Node #2: [78, 1, 49] from Operation: 71-22=49 Current State: 29:[78, 1, 49], Operations: ['71-22=49'] Exploring Operation: 78*1=78, Resulting Numbers: [49, 78] Generated Node #3: [49, 78] from Operation: 78*1=78 Current State: 29:[49, 78], Operations: ['71-22=49', '78*1=78'] Exploring Operation: 78-49=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 57, 31, 24, 27 ]
45
[ "57*24=1368", "27+1368=1395", "1395/31=45" ]
Current State: 45:[57, 31, 24, 27], Operations: [] Exploring Operation: 57*24=1368, Resulting Numbers: [31, 27, 1368] Generated Node #2: [31, 27, 1368] from Operation: 57*24=1368 Current State: 45:[31, 27, 1368], Operations: ['57*24=1368'] Exploring Operation: 27+1368=1395, Resulting Numbers: [31, 1395] Generated Node #3: [31, 1395] from Operation: 27+1368=1395 Current State: 45:[31, 1395], Operations: ['57*24=1368', '27+1368=1395'] Exploring Operation: 1395/31=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 23, 77, 12, 75 ]
37
[ "23+77=100", "75-12=63", "100-63=37" ]
Current State: 37:[23, 77, 12, 75], Operations: [] Exploring Operation: 23+77=100, Resulting Numbers: [12, 75, 100] Generated Node #2: [12, 75, 100] from Operation: 23+77=100 Current State: 37:[12, 75, 100], Operations: ['23+77=100'] Exploring Operation: 75-12=63, Resulting Numbers: [100, 63] Generated Node #3: [100, 63] from Operation: 75-12=63 Current State: 37:[100, 63], Operations: ['23+77=100', '75-12=63'] Exploring Operation: 100-63=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 61, 39, 66, 35 ]
79
[ "61-39=22", "66+35=101", "101-22=79" ]
Current State: 79:[61, 39, 66, 35], Operations: [] Exploring Operation: 61-39=22, Resulting Numbers: [66, 35, 22] Generated Node #2: [66, 35, 22] from Operation: 61-39=22 Current State: 79:[66, 35, 22], Operations: ['61-39=22'] Exploring Operation: 66+35=101, Resulting Numbers: [22, 101] Generated Node #3: [22, 101] from Operation: 66+35=101 Current State: 79:[22, 101], Operations: ['61-39=22', '66+35=101'] Exploring Operation: 101-22=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 2, 37, 30, 47 ]
61
[ "37-30=7", "2*7=14", "47+14=61" ]
Current State: 61:[2, 37, 30, 47], Operations: [] Exploring Operation: 37-30=7, Resulting Numbers: [2, 47, 7] Generated Node #2: [2, 47, 7] from Operation: 37-30=7 Current State: 61:[2, 47, 7], Operations: ['37-30=7'] Exploring Operation: 2*7=14, Resulting Numbers: [47, 14] Generated Node #3: [47, 14] from Operation: 2*7=14 Current State: 61:[47, 14], Operations: ['37-30=7', '2*7=14'] Exploring Operation: 47+14=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 16, 3, 32, 41 ]
79
[ "32/16=2", "41*2=82", "82-3=79" ]
Current State: 79:[16, 3, 32, 41], Operations: [] Exploring Operation: 32/16=2, Resulting Numbers: [3, 41, 2] Generated Node #2: [3, 41, 2] from Operation: 32/16=2 Current State: 79:[3, 41, 2], Operations: ['32/16=2'] Exploring Operation: 41*2=82, Resulting Numbers: [3, 82] Generated Node #3: [3, 82] from Operation: 41*2=82 Current State: 79:[3, 82], Operations: ['32/16=2', '41*2=82'] Exploring Operation: 82-3=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 2, 1, 71, 8 ]
18
[ "8/2=4", "1+71=72", "72/4=18" ]
Current State: 18:[2, 1, 71, 8], Operations: [] Exploring Operation: 8/2=4, Resulting Numbers: [1, 71, 4] Generated Node #2: [1, 71, 4] from Operation: 8/2=4 Current State: 18:[1, 71, 4], Operations: ['8/2=4'] Exploring Operation: 1+71=72, Resulting Numbers: [4, 72] Generated Node #3: [4, 72] from Operation: 1+71=72 Current State: 18:[4, 72], Operations: ['8/2=4', '1+71=72'] Exploring Operation: 72/4=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 45, 3, 5, 43 ]
41
[ "5-3=2", "43*2=86", "86-45=41" ]
Current State: 41:[45, 3, 5, 43], Operations: [] Exploring Operation: 5-3=2, Resulting Numbers: [45, 43, 2] Generated Node #2: [45, 43, 2] from Operation: 5-3=2 Current State: 41:[45, 43, 2], Operations: ['5-3=2'] Exploring Operation: 43*2=86, Resulting Numbers: [45, 86] Generated Node #3: [45, 86] from Operation: 43*2=86 Current State: 41:[45, 86], Operations: ['5-3=2', '43*2=86'] Exploring Operation: 86-45=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4