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
[ 90, 21, 4, 54 ]
48
[ "90-54=36", "21*4=84", "84-36=48" ]
Current State: 48:[90, 21, 4, 54], Operations: [] Exploring Operation: 90-54=36, Resulting Numbers: [21, 4, 36] Generated Node #2: [21, 4, 36] from Operation: 90-54=36 Current State: 48:[21, 4, 36], Operations: ['90-54=36'] Exploring Operation: 21*4=84, Resulting Numbers: [36, 84] Generated Node #3: [36, 84] from Operation: 21*4=84 Current State: 48:[36, 84], Operations: ['90-54=36', '21*4=84'] Exploring Operation: 84-36=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 34, 78, 38, 90 ]
42
[ "38-34=4", "78+90=168", "168/4=42" ]
Current State: 42:[34, 78, 38, 90], Operations: [] Exploring Operation: 38-34=4, Resulting Numbers: [78, 90, 4] Generated Node #2: [78, 90, 4] from Operation: 38-34=4 Current State: 42:[78, 90, 4], Operations: ['38-34=4'] Exploring Operation: 78+90=168, Resulting Numbers: [4, 168] Generated Node #3: [4, 168] from Operation: 78+90=168 Current State: 42:[4, 168], Operations: ['38-34=4', '78+90=168'] Exploring Operation: 168/4=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 80, 72, 86, 82 ]
94
[ "86-80=6", "72/6=12", "82+12=94" ]
Current State: 94:[80, 72, 86, 82], Operations: [] Exploring Operation: 86-80=6, Resulting Numbers: [72, 82, 6] Generated Node #2: [72, 82, 6] from Operation: 86-80=6 Current State: 94:[72, 82, 6], Operations: ['86-80=6'] Exploring Operation: 72/6=12, Resulting Numbers: [82, 12] Generated Node #3: [82, 12] from Operation: 72/6=12 Current State: 94:[82, 12], Operations: ['86-80=6', '72/6=12'] Exploring Operation: 82+12=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 3, 51, 14, 38 ]
81
[ "51+14=65", "65-38=27", "3*27=81" ]
Current State: 81:[3, 51, 14, 38], Operations: [] Exploring Operation: 51+14=65, Resulting Numbers: [3, 38, 65] Generated Node #2: [3, 38, 65] from Operation: 51+14=65 Current State: 81:[3, 38, 65], Operations: ['51+14=65'] Exploring Operation: 65-38=27, Resulting Numbers: [3, 27] Generated Node #3: [3, 27] from Operation: 65-38=27 Current State: 81:[3, 27], Operations: ['51+14=65', '65-38=27'] Exploring Operation: 3*27=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 17, 86, 87, 65 ]
47
[ "86-17=69", "87-65=22", "69-22=47" ]
Current State: 47:[17, 86, 87, 65], Operations: [] Exploring Operation: 86-17=69, Resulting Numbers: [87, 65, 69] Generated Node #2: [87, 65, 69] from Operation: 86-17=69 Current State: 47:[87, 65, 69], Operations: ['86-17=69'] Exploring Operation: 87-65=22, Resulting Numbers: [69, 22] Generated Node #3: [69, 22] from Operation: 87-65=22 Current State: 47:[69, 22], Operations: ['86-17=69', '87-65=22'] Exploring Operation: 69-22=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 50, 61, 87, 90 ]
53
[ "90-61=29", "87/29=3", "50+3=53" ]
Current State: 53:[50, 61, 87, 90], Operations: [] Exploring Operation: 90-61=29, Resulting Numbers: [50, 87, 29] Generated Node #2: [50, 87, 29] from Operation: 90-61=29 Current State: 53:[50, 87, 29], Operations: ['90-61=29'] Exploring Operation: 87/29=3, Resulting Numbers: [50, 3] Generated Node #3: [50, 3] from Operation: 87/29=3 Current State: 53:[50, 3], Operations: ['90-61=29', '87/29=3'] Exploring Operation: 50+3=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 84, 66, 97, 81 ]
93
[ "84-81=3", "97-66=31", "3*31=93" ]
Current State: 93:[84, 66, 97, 81], Operations: [] Exploring Operation: 84-81=3, Resulting Numbers: [66, 97, 3] Generated Node #2: [66, 97, 3] from Operation: 84-81=3 Current State: 93:[66, 97, 3], Operations: ['84-81=3'] Exploring Operation: 97-66=31, Resulting Numbers: [3, 31] Generated Node #3: [3, 31] from Operation: 97-66=31 Current State: 93:[3, 31], Operations: ['84-81=3', '97-66=31'] Exploring Operation: 3*31=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 11, 20, 33, 5 ]
48
[ "11+33=44", "20/5=4", "44+4=48" ]
Current State: 48:[11, 20, 33, 5], Operations: [] Exploring Operation: 11+33=44, Resulting Numbers: [20, 5, 44] Generated Node #2: [20, 5, 44] from Operation: 11+33=44 Current State: 48:[20, 5, 44], Operations: ['11+33=44'] Exploring Operation: 20/5=4, Resulting Numbers: [44, 4] Generated Node #3: [44, 4] from Operation: 20/5=4 Current State: 48:[44, 4], Operations: ['11+33=44', '20/5=4'] Exploring Operation: 44+4=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 8, 38, 38, 20 ]
27
[ "8+20=28", "38/38=1", "28-1=27" ]
Current State: 27:[8, 38, 38, 20], Operations: [] Exploring Operation: 8+20=28, Resulting Numbers: [38, 38, 28] Generated Node #2: [38, 38, 28] from Operation: 8+20=28 Current State: 27:[38, 38, 28], Operations: ['8+20=28'] Exploring Operation: 38/38=1, Resulting Numbers: [28, 1] Generated Node #3: [28, 1] from Operation: 38/38=1 Current State: 27:[28, 1], Operations: ['8+20=28', '38/38=1'] Exploring Operation: 28-1=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 51, 2, 4, 85 ]
17
[ "51*4=204", "204/2=102", "102-85=17" ]
Current State: 17:[51, 2, 4, 85], Operations: [] Exploring Operation: 51*4=204, Resulting Numbers: [2, 85, 204] Generated Node #2: [2, 85, 204] from Operation: 51*4=204 Current State: 17:[2, 85, 204], Operations: ['51*4=204'] Exploring Operation: 204/2=102, Resulting Numbers: [85, 102] Generated Node #3: [85, 102] from Operation: 204/2=102 Current State: 17:[85, 102], Operations: ['51*4=204', '204/2=102'] Exploring Operation: 102-85=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 94, 71, 5, 64 ]
36
[ "94-71=23", "64-5=59", "59-23=36" ]
Current State: 36:[94, 71, 5, 64], Operations: [] Exploring Operation: 94-71=23, Resulting Numbers: [5, 64, 23] Generated Node #2: [5, 64, 23] from Operation: 94-71=23 Current State: 36:[5, 64, 23], Operations: ['94-71=23'] Exploring Operation: 64-5=59, Resulting Numbers: [23, 59] Generated Node #3: [23, 59] from Operation: 64-5=59 Current State: 36:[23, 59], Operations: ['94-71=23', '64-5=59'] Exploring Operation: 59-23=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 3, 3, 75, 5 ]
31
[ "3+75=78", "78/3=26", "5+26=31" ]
Current State: 31:[3, 3, 75, 5], Operations: [] Exploring Operation: 3+75=78, Resulting Numbers: [5, 78] Generated Node #2: [5, 78] from Operation: 3+75=78 Current State: 31:[5, 78], Operations: ['3+75=78'] Exploring Operation: 78/3=26, Resulting Numbers: [5, 26] Generated Node #3: [5, 26] from Operation: 78/3=26 Current State: 31:[5, 26], Operations: ['3+75=78', '78/3=26'] Exploring Operation: 5+26=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 11, 3, 59, 34 ]
79
[ "11+3=14", "59+34=93", "93-14=79" ]
Current State: 79:[11, 3, 59, 34], Operations: [] Exploring Operation: 11+3=14, Resulting Numbers: [59, 34, 14] Generated Node #2: [59, 34, 14] from Operation: 11+3=14 Current State: 79:[59, 34, 14], Operations: ['11+3=14'] Exploring Operation: 59+34=93, Resulting Numbers: [14, 93] Generated Node #3: [14, 93] from Operation: 59+34=93 Current State: 79:[14, 93], Operations: ['11+3=14', '59+34=93'] Exploring Operation: 93-14=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 86, 49, 35, 14 ]
28
[ "86-49=37", "37-35=2", "14*2=28" ]
Current State: 28:[86, 49, 35, 14], Operations: [] Exploring Operation: 86-49=37, Resulting Numbers: [35, 14, 37] Generated Node #2: [35, 14, 37] from Operation: 86-49=37 Current State: 28:[35, 14, 37], Operations: ['86-49=37'] Exploring Operation: 37-35=2, Resulting Numbers: [14, 2] Generated Node #3: [14, 2] from Operation: 37-35=2 Current State: 28:[14, 2], Operations: ['86-49=37', '37-35=2'] Exploring Operation: 14*2=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 65, 38, 89, 53 ]
93
[ "65*53=3445", "89+3445=3534", "3534/38=93" ]
Current State: 93:[65, 38, 89, 53], Operations: [] Exploring Operation: 65*53=3445, Resulting Numbers: [38, 89, 3445] Generated Node #2: [38, 89, 3445] from Operation: 65*53=3445 Current State: 93:[38, 89, 3445], Operations: ['65*53=3445'] Exploring Operation: 89+3445=3534, Resulting Numbers: [38, 3534] Generated Node #3: [38, 3534] from Operation: 89+3445=3534 Current State: 93:[38, 3534], Operations: ['65*53=3445', '89+3445=3534'] Exploring Operation: 3534/38=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 78, 28, 57, 30 ]
96
[ "30-28=2", "78/2=39", "57+39=96" ]
Current State: 96:[78, 28, 57, 30], Operations: [] Exploring Operation: 30-28=2, Resulting Numbers: [78, 57, 2] Generated Node #2: [78, 57, 2] from Operation: 30-28=2 Current State: 96:[78, 57, 2], Operations: ['30-28=2'] Exploring Operation: 78/2=39, Resulting Numbers: [57, 39] Generated Node #3: [57, 39] from Operation: 78/2=39 Current State: 96:[57, 39], Operations: ['30-28=2', '78/2=39'] Exploring Operation: 57+39=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 50, 10, 20, 28 ]
35
[ "50+20=70", "70/10=7", "28+7=35" ]
Current State: 35:[50, 10, 20, 28], Operations: [] Exploring Operation: 50+20=70, Resulting Numbers: [10, 28, 70] Generated Node #2: [10, 28, 70] from Operation: 50+20=70 Current State: 35:[10, 28, 70], Operations: ['50+20=70'] Exploring Operation: 70/10=7, Resulting Numbers: [28, 7] Generated Node #3: [28, 7] from Operation: 70/10=7 Current State: 35:[28, 7], Operations: ['50+20=70', '70/10=7'] Exploring Operation: 28+7=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 58, 24, 3, 11 ]
68
[ "58+24=82", "3+11=14", "82-14=68" ]
Current State: 68:[58, 24, 3, 11], Operations: [] Exploring Operation: 58+24=82, Resulting Numbers: [3, 11, 82] Generated Node #2: [3, 11, 82] from Operation: 58+24=82 Current State: 68:[3, 11, 82], Operations: ['58+24=82'] Exploring Operation: 3+11=14, Resulting Numbers: [82, 14] Generated Node #3: [82, 14] from Operation: 3+11=14 Current State: 68:[82, 14], Operations: ['58+24=82', '3+11=14'] Exploring Operation: 82-14=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 2, 50, 22, 3 ]
86
[ "50-22=28", "3*28=84", "2+84=86" ]
Current State: 86:[2, 50, 22, 3], Operations: [] Exploring Operation: 50-22=28, Resulting Numbers: [2, 3, 28] Generated Node #2: [2, 3, 28] from Operation: 50-22=28 Current State: 86:[2, 3, 28], Operations: ['50-22=28'] Exploring Operation: 3*28=84, Resulting Numbers: [2, 84] Generated Node #3: [2, 84] from Operation: 3*28=84 Current State: 86:[2, 84], Operations: ['50-22=28', '3*28=84'] Exploring Operation: 2+84=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 76, 55, 7, 38 ]
64
[ "76/38=2", "55+7=62", "2+62=64" ]
Current State: 64:[76, 55, 7, 38], Operations: [] Exploring Operation: 76/38=2, Resulting Numbers: [55, 7, 2] Generated Node #2: [55, 7, 2] from Operation: 76/38=2 Current State: 64:[55, 7, 2], Operations: ['76/38=2'] Exploring Operation: 55+7=62, Resulting Numbers: [2, 62] Generated Node #3: [2, 62] from Operation: 55+7=62 Current State: 64:[2, 62], Operations: ['76/38=2', '55+7=62'] Exploring Operation: 2+62=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 44, 68, 78, 6 ]
48
[ "68-44=24", "78-6=72", "72-24=48" ]
Current State: 48:[44, 68, 78, 6], Operations: [] Exploring Operation: 68-44=24, Resulting Numbers: [78, 6, 24] Generated Node #2: [78, 6, 24] from Operation: 68-44=24 Current State: 48:[78, 6, 24], Operations: ['68-44=24'] Exploring Operation: 78-6=72, Resulting Numbers: [24, 72] Generated Node #3: [24, 72] from Operation: 78-6=72 Current State: 48:[24, 72], Operations: ['68-44=24', '78-6=72'] Exploring Operation: 72-24=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 67, 2, 53, 87 ]
80
[ "67-53=14", "14/2=7", "87-7=80" ]
Current State: 80:[67, 2, 53, 87], Operations: [] Exploring Operation: 67-53=14, Resulting Numbers: [2, 87, 14] Generated Node #2: [2, 87, 14] from Operation: 67-53=14 Current State: 80:[2, 87, 14], Operations: ['67-53=14'] Exploring Operation: 14/2=7, Resulting Numbers: [87, 7] Generated Node #3: [87, 7] from Operation: 14/2=7 Current State: 80:[87, 7], Operations: ['67-53=14', '14/2=7'] Exploring Operation: 87-7=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 27, 61, 88, 86 ]
44
[ "27+61=88", "88-86=2", "88/2=44" ]
Current State: 44:[27, 61, 88, 86], Operations: [] Exploring Operation: 27+61=88, Resulting Numbers: [88, 86, 88] Generated Node #2: [88, 86, 88] from Operation: 27+61=88 Current State: 44:[88, 86, 88], Operations: ['27+61=88'] Exploring Operation: 88-86=2, Resulting Numbers: [2] 2,44 equal: Goal Reached Exploring Operation: 88/2=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 32, 5, 47, 88 ]
14
[ "32-5=27", "88-47=41", "41-27=14" ]
Current State: 14:[32, 5, 47, 88], Operations: [] Exploring Operation: 32-5=27, Resulting Numbers: [47, 88, 27] Generated Node #2: [47, 88, 27] from Operation: 32-5=27 Current State: 14:[47, 88, 27], Operations: ['32-5=27'] Exploring Operation: 88-47=41, Resulting Numbers: [27, 41] Generated Node #3: [27, 41] from Operation: 88-47=41 Current State: 14:[27, 41], Operations: ['32-5=27', '88-47=41'] Exploring Operation: 41-27=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 8, 18, 87, 24 ]
81
[ "8*18=144", "87-24=63", "144-63=81" ]
Current State: 81:[8, 18, 87, 24], Operations: [] Exploring Operation: 8*18=144, Resulting Numbers: [87, 24, 144] Generated Node #2: [87, 24, 144] from Operation: 8*18=144 Current State: 81:[87, 24, 144], Operations: ['8*18=144'] Exploring Operation: 87-24=63, Resulting Numbers: [144, 63] Generated Node #3: [144, 63] from Operation: 87-24=63 Current State: 81:[144, 63], Operations: ['8*18=144', '87-24=63'] Exploring Operation: 144-63=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 67, 51, 68, 44 ]
96
[ "67-51=16", "68+44=112", "112-16=96" ]
Current State: 96:[67, 51, 68, 44], Operations: [] Exploring Operation: 67-51=16, Resulting Numbers: [68, 44, 16] Generated Node #2: [68, 44, 16] from Operation: 67-51=16 Current State: 96:[68, 44, 16], Operations: ['67-51=16'] Exploring Operation: 68+44=112, Resulting Numbers: [16, 112] Generated Node #3: [16, 112] from Operation: 68+44=112 Current State: 96:[16, 112], Operations: ['67-51=16', '68+44=112'] Exploring Operation: 112-16=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 75, 79, 8, 14 ]
48
[ "79-75=4", "14*4=56", "56-8=48" ]
Current State: 48:[75, 79, 8, 14], Operations: [] Exploring Operation: 79-75=4, Resulting Numbers: [8, 14, 4] Generated Node #2: [8, 14, 4] from Operation: 79-75=4 Current State: 48:[8, 14, 4], Operations: ['79-75=4'] Exploring Operation: 14*4=56, Resulting Numbers: [8, 56] Generated Node #3: [8, 56] from Operation: 14*4=56 Current State: 48:[8, 56], Operations: ['79-75=4', '14*4=56'] Exploring Operation: 56-8=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 37, 10, 7, 6 ]
15
[ "37-10=27", "7*6=42", "42-27=15" ]
Current State: 15:[37, 10, 7, 6], Operations: [] Exploring Operation: 37-10=27, Resulting Numbers: [7, 6, 27] Generated Node #2: [7, 6, 27] from Operation: 37-10=27 Current State: 15:[7, 6, 27], Operations: ['37-10=27'] Exploring Operation: 7*6=42, Resulting Numbers: [27, 42] Generated Node #3: [27, 42] from Operation: 7*6=42 Current State: 15:[27, 42], Operations: ['37-10=27', '7*6=42'] Exploring Operation: 42-27=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 77, 4, 99, 11 ]
90
[ "77+4=81", "99/11=9", "81+9=90" ]
Current State: 90:[77, 4, 99, 11], Operations: [] Exploring Operation: 77+4=81, Resulting Numbers: [99, 11, 81] Generated Node #2: [99, 11, 81] from Operation: 77+4=81 Current State: 90:[99, 11, 81], Operations: ['77+4=81'] Exploring Operation: 99/11=9, Resulting Numbers: [81, 9] Generated Node #3: [81, 9] from Operation: 99/11=9 Current State: 90:[81, 9], Operations: ['77+4=81', '99/11=9'] Exploring Operation: 81+9=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 13, 26, 2, 50 ]
49
[ "26/13=2", "2/2=1", "50-1=49" ]
Current State: 49:[13, 26, 2, 50], Operations: [] Exploring Operation: 26/13=2, Resulting Numbers: [2, 50, 2] Generated Node #2: [2, 50, 2] from Operation: 26/13=2 Current State: 49:[2, 50, 2], Operations: ['26/13=2'] Exploring Operation: 2/2=1, Resulting Numbers: [50, 1] Generated Node #3: [50, 1] from Operation: 2/2=1 Current State: 49:[50, 1], Operations: ['26/13=2', '2/2=1'] Exploring Operation: 50-1=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 13, 21, 17, 23 ]
21
[ "13+21=34", "34/17=2", "23-2=21" ]
Current State: 21:[13, 21, 17, 23], Operations: [] Exploring Operation: 13+21=34, Resulting Numbers: [17, 23, 34] Generated Node #2: [17, 23, 34] from Operation: 13+21=34 Current State: 21:[17, 23, 34], Operations: ['13+21=34'] Exploring Operation: 34/17=2, Resulting Numbers: [23, 2] Generated Node #3: [23, 2] from Operation: 34/17=2 Current State: 21:[23, 2], Operations: ['13+21=34', '34/17=2'] Exploring Operation: 23-2=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 80, 78, 26, 9 ]
15
[ "80-78=2", "26-9=17", "17-2=15" ]
Current State: 15:[80, 78, 26, 9], Operations: [] Exploring Operation: 80-78=2, Resulting Numbers: [26, 9, 2] Generated Node #2: [26, 9, 2] from Operation: 80-78=2 Current State: 15:[26, 9, 2], Operations: ['80-78=2'] Exploring Operation: 26-9=17, Resulting Numbers: [2, 17] Generated Node #3: [2, 17] from Operation: 26-9=17 Current State: 15:[2, 17], Operations: ['80-78=2', '26-9=17'] Exploring Operation: 17-2=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 36, 76, 88, 87 ]
39
[ "76-36=40", "88-87=1", "40-1=39" ]
Current State: 39:[36, 76, 88, 87], Operations: [] Exploring Operation: 76-36=40, Resulting Numbers: [88, 87, 40] Generated Node #2: [88, 87, 40] from Operation: 76-36=40 Current State: 39:[88, 87, 40], Operations: ['76-36=40'] Exploring Operation: 88-87=1, Resulting Numbers: [40, 1] Generated Node #3: [40, 1] from Operation: 88-87=1 Current State: 39:[40, 1], Operations: ['76-36=40', '88-87=1'] Exploring Operation: 40-1=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 76, 72, 3, 64 ]
28
[ "76+72=148", "148-64=84", "84/3=28" ]
Current State: 28:[76, 72, 3, 64], Operations: [] Exploring Operation: 76+72=148, Resulting Numbers: [3, 64, 148] Generated Node #2: [3, 64, 148] from Operation: 76+72=148 Current State: 28:[3, 64, 148], Operations: ['76+72=148'] Exploring Operation: 148-64=84, Resulting Numbers: [3, 84] Generated Node #3: [3, 84] from Operation: 148-64=84 Current State: 28:[3, 84], Operations: ['76+72=148', '148-64=84'] Exploring Operation: 84/3=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 42, 45, 58, 67 ]
96
[ "42+45=87", "67-58=9", "87+9=96" ]
Current State: 96:[42, 45, 58, 67], Operations: [] Exploring Operation: 42+45=87, Resulting Numbers: [58, 67, 87] Generated Node #2: [58, 67, 87] from Operation: 42+45=87 Current State: 96:[58, 67, 87], Operations: ['42+45=87'] Exploring Operation: 67-58=9, Resulting Numbers: [87, 9] Generated Node #3: [87, 9] from Operation: 67-58=9 Current State: 96:[87, 9], Operations: ['42+45=87', '67-58=9'] Exploring Operation: 87+9=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 11, 46, 7, 72 ]
77
[ "46-11=35", "35/7=5", "72+5=77" ]
Current State: 77:[11, 46, 7, 72], Operations: [] Exploring Operation: 46-11=35, Resulting Numbers: [7, 72, 35] Generated Node #2: [7, 72, 35] from Operation: 46-11=35 Current State: 77:[7, 72, 35], Operations: ['46-11=35'] Exploring Operation: 35/7=5, Resulting Numbers: [72, 5] Generated Node #3: [72, 5] from Operation: 35/7=5 Current State: 77:[72, 5], Operations: ['46-11=35', '35/7=5'] Exploring Operation: 72+5=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 92, 36, 35, 3 ]
90
[ "92+36=128", "35+3=38", "128-38=90" ]
Current State: 90:[92, 36, 35, 3], Operations: [] Exploring Operation: 92+36=128, Resulting Numbers: [35, 3, 128] Generated Node #2: [35, 3, 128] from Operation: 92+36=128 Current State: 90:[35, 3, 128], Operations: ['92+36=128'] Exploring Operation: 35+3=38, Resulting Numbers: [128, 38] Generated Node #3: [128, 38] from Operation: 35+3=38 Current State: 90:[128, 38], Operations: ['92+36=128', '35+3=38'] Exploring Operation: 128-38=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 64, 15, 80, 38 ]
50
[ "64*15=960", "960/80=12", "38+12=50" ]
Current State: 50:[64, 15, 80, 38], Operations: [] Exploring Operation: 64*15=960, Resulting Numbers: [80, 38, 960] Generated Node #2: [80, 38, 960] from Operation: 64*15=960 Current State: 50:[80, 38, 960], Operations: ['64*15=960'] Exploring Operation: 960/80=12, Resulting Numbers: [38, 12] Generated Node #3: [38, 12] from Operation: 960/80=12 Current State: 50:[38, 12], Operations: ['64*15=960', '960/80=12'] Exploring Operation: 38+12=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 83, 3, 70, 89 ]
88
[ "89-83=6", "3*6=18", "70+18=88" ]
Current State: 88:[83, 3, 70, 89], Operations: [] Exploring Operation: 89-83=6, Resulting Numbers: [3, 70, 6] Generated Node #2: [3, 70, 6] from Operation: 89-83=6 Current State: 88:[3, 70, 6], Operations: ['89-83=6'] Exploring Operation: 3*6=18, Resulting Numbers: [70, 18] Generated Node #3: [70, 18] from Operation: 3*6=18 Current State: 88:[70, 18], Operations: ['89-83=6', '3*6=18'] Exploring Operation: 70+18=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 78, 1, 46, 65 ]
32
[ "78+1=79", "46+65=111", "111-79=32" ]
Current State: 32:[78, 1, 46, 65], Operations: [] Exploring Operation: 78+1=79, Resulting Numbers: [46, 65, 79] Generated Node #2: [46, 65, 79] from Operation: 78+1=79 Current State: 32:[46, 65, 79], Operations: ['78+1=79'] Exploring Operation: 46+65=111, Resulting Numbers: [79, 111] Generated Node #3: [79, 111] from Operation: 46+65=111 Current State: 32:[79, 111], Operations: ['78+1=79', '46+65=111'] Exploring Operation: 111-79=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 7, 28, 38, 55 ]
58
[ "7+28=35", "38+55=93", "93-35=58" ]
Current State: 58:[7, 28, 38, 55], Operations: [] Exploring Operation: 7+28=35, Resulting Numbers: [38, 55, 35] Generated Node #2: [38, 55, 35] from Operation: 7+28=35 Current State: 58:[38, 55, 35], Operations: ['7+28=35'] Exploring Operation: 38+55=93, Resulting Numbers: [35, 93] Generated Node #3: [35, 93] from Operation: 38+55=93 Current State: 58:[35, 93], Operations: ['7+28=35', '38+55=93'] Exploring Operation: 93-35=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 31, 15, 76, 25 ]
55
[ "31+15=46", "76+25=101", "101-46=55" ]
Current State: 55:[31, 15, 76, 25], Operations: [] Exploring Operation: 31+15=46, Resulting Numbers: [76, 25, 46] Generated Node #2: [76, 25, 46] from Operation: 31+15=46 Current State: 55:[76, 25, 46], Operations: ['31+15=46'] Exploring Operation: 76+25=101, Resulting Numbers: [46, 101] Generated Node #3: [46, 101] from Operation: 76+25=101 Current State: 55:[46, 101], Operations: ['31+15=46', '76+25=101'] Exploring Operation: 101-46=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 69, 56, 82, 2 ]
99
[ "82-69=13", "56*2=112", "112-13=99" ]
Current State: 99:[69, 56, 82, 2], Operations: [] Exploring Operation: 82-69=13, Resulting Numbers: [56, 2, 13] Generated Node #2: [56, 2, 13] from Operation: 82-69=13 Current State: 99:[56, 2, 13], Operations: ['82-69=13'] Exploring Operation: 56*2=112, Resulting Numbers: [13, 112] Generated Node #3: [13, 112] from Operation: 56*2=112 Current State: 99:[13, 112], Operations: ['82-69=13', '56*2=112'] Exploring Operation: 112-13=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 23, 44, 26, 4 ]
49
[ "44-26=18", "4*18=72", "72-23=49" ]
Current State: 49:[23, 44, 26, 4], Operations: [] Exploring Operation: 44-26=18, Resulting Numbers: [23, 4, 18] Generated Node #2: [23, 4, 18] from Operation: 44-26=18 Current State: 49:[23, 4, 18], Operations: ['44-26=18'] Exploring Operation: 4*18=72, Resulting Numbers: [23, 72] Generated Node #3: [23, 72] from Operation: 4*18=72 Current State: 49:[23, 72], Operations: ['44-26=18', '4*18=72'] Exploring Operation: 72-23=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 32, 45, 84, 37 ]
16
[ "84-45=39", "39-37=2", "32/2=16" ]
Current State: 16:[32, 45, 84, 37], Operations: [] Exploring Operation: 84-45=39, Resulting Numbers: [32, 37, 39] Generated Node #2: [32, 37, 39] from Operation: 84-45=39 Current State: 16:[32, 37, 39], Operations: ['84-45=39'] Exploring Operation: 39-37=2, Resulting Numbers: [32, 2] Generated Node #3: [32, 2] from Operation: 39-37=2 Current State: 16:[32, 2], Operations: ['84-45=39', '39-37=2'] Exploring Operation: 32/2=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 16, 34, 12, 8 ]
78
[ "34-16=18", "12*8=96", "96-18=78" ]
Current State: 78:[16, 34, 12, 8], Operations: [] Exploring Operation: 34-16=18, Resulting Numbers: [12, 8, 18] Generated Node #2: [12, 8, 18] from Operation: 34-16=18 Current State: 78:[12, 8, 18], Operations: ['34-16=18'] Exploring Operation: 12*8=96, Resulting Numbers: [18, 96] Generated Node #3: [18, 96] from Operation: 12*8=96 Current State: 78:[18, 96], Operations: ['34-16=18', '12*8=96'] Exploring Operation: 96-18=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 75, 17, 76, 75 ]
94
[ "75/75=1", "17+76=93", "1+93=94" ]
Current State: 94:[75, 17, 76, 75], Operations: [] Exploring Operation: 75/75=1, Resulting Numbers: [17, 76, 1] Generated Node #2: [17, 76, 1] from Operation: 75/75=1 Current State: 94:[17, 76, 1], Operations: ['75/75=1'] Exploring Operation: 17+76=93, Resulting Numbers: [1, 93] Generated Node #3: [1, 93] from Operation: 17+76=93 Current State: 94:[1, 93], Operations: ['75/75=1', '17+76=93'] Exploring Operation: 1+93=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 7, 51, 10, 50 ]
39
[ "51-7=44", "50/10=5", "44-5=39" ]
Current State: 39:[7, 51, 10, 50], Operations: [] Exploring Operation: 51-7=44, Resulting Numbers: [10, 50, 44] Generated Node #2: [10, 50, 44] from Operation: 51-7=44 Current State: 39:[10, 50, 44], Operations: ['51-7=44'] Exploring Operation: 50/10=5, Resulting Numbers: [44, 5] Generated Node #3: [44, 5] from Operation: 50/10=5 Current State: 39:[44, 5], Operations: ['51-7=44', '50/10=5'] Exploring Operation: 44-5=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 20, 54, 26, 41 ]
72
[ "20*54=1080", "41-26=15", "1080/15=72" ]
Current State: 72:[20, 54, 26, 41], Operations: [] Exploring Operation: 20*54=1080, Resulting Numbers: [26, 41, 1080] Generated Node #2: [26, 41, 1080] from Operation: 20*54=1080 Current State: 72:[26, 41, 1080], Operations: ['20*54=1080'] Exploring Operation: 41-26=15, Resulting Numbers: [1080, 15] Generated Node #3: [1080, 15] from Operation: 41-26=15 Current State: 72:[1080, 15], Operations: ['20*54=1080', '41-26=15'] Exploring Operation: 1080/15=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 32, 96, 78, 68 ]
74
[ "96-32=64", "78-68=10", "64+10=74" ]
Current State: 74:[32, 96, 78, 68], Operations: [] Exploring Operation: 96-32=64, Resulting Numbers: [78, 68, 64] Generated Node #2: [78, 68, 64] from Operation: 96-32=64 Current State: 74:[78, 68, 64], Operations: ['96-32=64'] Exploring Operation: 78-68=10, Resulting Numbers: [64, 10] Generated Node #3: [64, 10] from Operation: 78-68=10 Current State: 74:[64, 10], Operations: ['96-32=64', '78-68=10'] Exploring Operation: 64+10=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 95, 94, 41, 6 ]
47
[ "95-94=1", "41+6=47", "1*47=47" ]
Current State: 47:[95, 94, 41, 6], Operations: [] Exploring Operation: 95-94=1, Resulting Numbers: [41, 6, 1] Generated Node #2: [41, 6, 1] from Operation: 95-94=1 Current State: 47:[41, 6, 1], Operations: ['95-94=1'] Exploring Operation: 41+6=47, Resulting Numbers: [1, 47] Generated Node #3: [1, 47] from Operation: 41+6=47 Current State: 47:[1, 47], Operations: ['95-94=1', '41+6=47'] Exploring Operation: 1*47=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 56, 19, 71, 59 ]
14
[ "59-56=3", "19*3=57", "71-57=14" ]
Current State: 14:[56, 19, 71, 59], Operations: [] Exploring Operation: 59-56=3, Resulting Numbers: [19, 71, 3] Generated Node #2: [19, 71, 3] from Operation: 59-56=3 Current State: 14:[19, 71, 3], Operations: ['59-56=3'] Exploring Operation: 19*3=57, Resulting Numbers: [71, 57] Generated Node #3: [71, 57] from Operation: 19*3=57 Current State: 14:[71, 57], Operations: ['59-56=3', '19*3=57'] Exploring Operation: 71-57=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 1, 91, 73, 28 ]
45
[ "91-1=90", "73-28=45", "90-45=45" ]
Current State: 45:[1, 91, 73, 28], Operations: [] Exploring Operation: 91-1=90, Resulting Numbers: [73, 28, 90] Generated Node #2: [73, 28, 90] from Operation: 91-1=90 Current State: 45:[73, 28, 90], Operations: ['91-1=90'] Exploring Operation: 73-28=45, Resulting Numbers: [90, 45] Generated Node #3: [90, 45] from Operation: 73-28=45 Current State: 45:[90, 45], Operations: ['91-1=90', '73-28=45'] Exploring Operation: 90-45=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 72, 76, 47, 13 ]
99
[ "76-72=4", "13*4=52", "47+52=99" ]
Current State: 99:[72, 76, 47, 13], Operations: [] Exploring Operation: 76-72=4, Resulting Numbers: [47, 13, 4] Generated Node #2: [47, 13, 4] from Operation: 76-72=4 Current State: 99:[47, 13, 4], Operations: ['76-72=4'] Exploring Operation: 13*4=52, Resulting Numbers: [47, 52] Generated Node #3: [47, 52] from Operation: 13*4=52 Current State: 99:[47, 52], Operations: ['76-72=4', '13*4=52'] Exploring Operation: 47+52=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 29, 83, 17, 32 ]
69
[ "83-29=54", "32-17=15", "54+15=69" ]
Current State: 69:[29, 83, 17, 32], Operations: [] Exploring Operation: 83-29=54, Resulting Numbers: [17, 32, 54] Generated Node #2: [17, 32, 54] from Operation: 83-29=54 Current State: 69:[17, 32, 54], Operations: ['83-29=54'] Exploring Operation: 32-17=15, Resulting Numbers: [54, 15] Generated Node #3: [54, 15] from Operation: 32-17=15 Current State: 69:[54, 15], Operations: ['83-29=54', '32-17=15'] Exploring Operation: 54+15=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 2, 6, 26, 27 ]
20
[ "26/2=13", "6+27=33", "33-13=20" ]
Current State: 20:[2, 6, 26, 27], Operations: [] Exploring Operation: 26/2=13, Resulting Numbers: [6, 27, 13] Generated Node #2: [6, 27, 13] from Operation: 26/2=13 Current State: 20:[6, 27, 13], Operations: ['26/2=13'] Exploring Operation: 6+27=33, Resulting Numbers: [13, 33] Generated Node #3: [13, 33] from Operation: 6+27=33 Current State: 20:[13, 33], Operations: ['26/2=13', '6+27=33'] Exploring Operation: 33-13=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 32, 87, 85, 12 ]
22
[ "32+87=119", "85+12=97", "119-97=22" ]
Current State: 22:[32, 87, 85, 12], Operations: [] Exploring Operation: 32+87=119, Resulting Numbers: [85, 12, 119] Generated Node #2: [85, 12, 119] from Operation: 32+87=119 Current State: 22:[85, 12, 119], Operations: ['32+87=119'] Exploring Operation: 85+12=97, Resulting Numbers: [119, 97] Generated Node #3: [119, 97] from Operation: 85+12=97 Current State: 22:[119, 97], Operations: ['32+87=119', '85+12=97'] Exploring Operation: 119-97=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 20, 12, 67, 69 ]
13
[ "20+67=87", "69+87=156", "156/12=13" ]
Current State: 13:[20, 12, 67, 69], Operations: [] Exploring Operation: 20+67=87, Resulting Numbers: [12, 69, 87] Generated Node #2: [12, 69, 87] from Operation: 20+67=87 Current State: 13:[12, 69, 87], Operations: ['20+67=87'] Exploring Operation: 69+87=156, Resulting Numbers: [12, 156] Generated Node #3: [12, 156] from Operation: 69+87=156 Current State: 13:[12, 156], Operations: ['20+67=87', '69+87=156'] Exploring Operation: 156/12=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 21, 63, 24, 71 ]
53
[ "63-21=42", "24+71=95", "95-42=53" ]
Current State: 53:[21, 63, 24, 71], Operations: [] Exploring Operation: 63-21=42, Resulting Numbers: [24, 71, 42] Generated Node #2: [24, 71, 42] from Operation: 63-21=42 Current State: 53:[24, 71, 42], Operations: ['63-21=42'] Exploring Operation: 24+71=95, Resulting Numbers: [42, 95] Generated Node #3: [42, 95] from Operation: 24+71=95 Current State: 53:[42, 95], Operations: ['63-21=42', '24+71=95'] Exploring Operation: 95-42=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 4, 2, 51, 11 ]
16
[ "2+51=53", "11+53=64", "64/4=16" ]
Current State: 16:[4, 2, 51, 11], Operations: [] Exploring Operation: 2+51=53, Resulting Numbers: [4, 11, 53] Generated Node #2: [4, 11, 53] from Operation: 2+51=53 Current State: 16:[4, 11, 53], Operations: ['2+51=53'] Exploring Operation: 11+53=64, Resulting Numbers: [4, 64] Generated Node #3: [4, 64] from Operation: 11+53=64 Current State: 16:[4, 64], Operations: ['2+51=53', '11+53=64'] Exploring Operation: 64/4=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 55, 21, 9, 62 ]
42
[ "55+9=64", "64-62=2", "21*2=42" ]
Current State: 42:[55, 21, 9, 62], Operations: [] Exploring Operation: 55+9=64, Resulting Numbers: [21, 62, 64] Generated Node #2: [21, 62, 64] from Operation: 55+9=64 Current State: 42:[21, 62, 64], Operations: ['55+9=64'] Exploring Operation: 64-62=2, Resulting Numbers: [21, 2] Generated Node #3: [21, 2] from Operation: 64-62=2 Current State: 42:[21, 2], Operations: ['55+9=64', '64-62=2'] Exploring Operation: 21*2=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 73, 80, 6, 67 ]
92
[ "73+80=153", "67-6=61", "153-61=92" ]
Current State: 92:[73, 80, 6, 67], Operations: [] Exploring Operation: 73+80=153, Resulting Numbers: [6, 67, 153] Generated Node #2: [6, 67, 153] from Operation: 73+80=153 Current State: 92:[6, 67, 153], Operations: ['73+80=153'] Exploring Operation: 67-6=61, Resulting Numbers: [153, 61] Generated Node #3: [153, 61] from Operation: 67-6=61 Current State: 92:[153, 61], Operations: ['73+80=153', '67-6=61'] Exploring Operation: 153-61=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 41, 40, 9, 21 ]
69
[ "41+40=81", "21-9=12", "81-12=69" ]
Current State: 69:[41, 40, 9, 21], Operations: [] Exploring Operation: 41+40=81, Resulting Numbers: [9, 21, 81] Generated Node #2: [9, 21, 81] from Operation: 41+40=81 Current State: 69:[9, 21, 81], Operations: ['41+40=81'] Exploring Operation: 21-9=12, Resulting Numbers: [81, 12] Generated Node #3: [81, 12] from Operation: 21-9=12 Current State: 69:[81, 12], Operations: ['41+40=81', '21-9=12'] Exploring Operation: 81-12=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 33, 75, 11, 23 ]
95
[ "33/11=3", "75+23=98", "98-3=95" ]
Current State: 95:[33, 75, 11, 23], Operations: [] Exploring Operation: 33/11=3, Resulting Numbers: [75, 23, 3] Generated Node #2: [75, 23, 3] from Operation: 33/11=3 Current State: 95:[75, 23, 3], Operations: ['33/11=3'] Exploring Operation: 75+23=98, Resulting Numbers: [3, 98] Generated Node #3: [3, 98] from Operation: 75+23=98 Current State: 95:[3, 98], Operations: ['33/11=3', '75+23=98'] Exploring Operation: 98-3=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 78, 64, 78, 46 ]
80
[ "78-46=32", "64/32=2", "78+2=80" ]
Current State: 80:[78, 64, 78, 46], Operations: [] Exploring Operation: 78-46=32, Resulting Numbers: [64, 32] Generated Node #2: [64, 32] from Operation: 78-46=32 Current State: 80:[64, 32], Operations: ['78-46=32'] Exploring Operation: 64/32=2, Resulting Numbers: [2] 2,80 equal: Goal Reached Exploring Operation: 78+2=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 94, 24, 91, 2 ]
68
[ "94/2=47", "24+91=115", "115-47=68" ]
Current State: 68:[94, 24, 91, 2], Operations: [] Exploring Operation: 94/2=47, Resulting Numbers: [24, 91, 47] Generated Node #2: [24, 91, 47] from Operation: 94/2=47 Current State: 68:[24, 91, 47], Operations: ['94/2=47'] Exploring Operation: 24+91=115, Resulting Numbers: [47, 115] Generated Node #3: [47, 115] from Operation: 24+91=115 Current State: 68:[47, 115], Operations: ['94/2=47', '24+91=115'] Exploring Operation: 115-47=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 85, 58, 2, 92 ]
44
[ "92-85=7", "2*7=14", "58-14=44" ]
Current State: 44:[85, 58, 2, 92], Operations: [] Exploring Operation: 92-85=7, Resulting Numbers: [58, 2, 7] Generated Node #2: [58, 2, 7] from Operation: 92-85=7 Current State: 44:[58, 2, 7], Operations: ['92-85=7'] Exploring Operation: 2*7=14, Resulting Numbers: [58, 14] Generated Node #3: [58, 14] from Operation: 2*7=14 Current State: 44:[58, 14], Operations: ['92-85=7', '2*7=14'] Exploring Operation: 58-14=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 89, 45, 24, 22 ]
48
[ "89-45=44", "24*44=1056", "1056/22=48" ]
Current State: 48:[89, 45, 24, 22], Operations: [] Exploring Operation: 89-45=44, Resulting Numbers: [24, 22, 44] Generated Node #2: [24, 22, 44] from Operation: 89-45=44 Current State: 48:[24, 22, 44], Operations: ['89-45=44'] Exploring Operation: 24*44=1056, Resulting Numbers: [22, 1056] Generated Node #3: [22, 1056] from Operation: 24*44=1056 Current State: 48:[22, 1056], Operations: ['89-45=44', '24*44=1056'] Exploring Operation: 1056/22=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 9, 20, 18, 72 ]
94
[ "18/9=2", "20+72=92", "2+92=94" ]
Current State: 94:[9, 20, 18, 72], Operations: [] Exploring Operation: 18/9=2, Resulting Numbers: [20, 72, 2] Generated Node #2: [20, 72, 2] from Operation: 18/9=2 Current State: 94:[20, 72, 2], Operations: ['18/9=2'] Exploring Operation: 20+72=92, Resulting Numbers: [2, 92] Generated Node #3: [2, 92] from Operation: 20+72=92 Current State: 94:[2, 92], Operations: ['18/9=2', '20+72=92'] Exploring Operation: 2+92=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 30, 56, 30, 94 ]
90
[ "56-30=26", "94-30=64", "26+64=90" ]
Current State: 90:[30, 56, 30, 94], Operations: [] Exploring Operation: 56-30=26, Resulting Numbers: [94, 26] Generated Node #2: [94, 26] from Operation: 56-30=26 Current State: 90:[94, 26], Operations: ['56-30=26'] Exploring Operation: 94-30=64, Resulting Numbers: [26, 64] Generated Node #3: [26, 64] from Operation: 94-30=64 Current State: 90:[26, 64], Operations: ['56-30=26', '94-30=64'] Exploring Operation: 26+64=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 38, 23, 97, 63 ]
92
[ "97-38=59", "63-59=4", "23*4=92" ]
Current State: 92:[38, 23, 97, 63], Operations: [] Exploring Operation: 97-38=59, Resulting Numbers: [23, 63, 59] Generated Node #2: [23, 63, 59] from Operation: 97-38=59 Current State: 92:[23, 63, 59], Operations: ['97-38=59'] Exploring Operation: 63-59=4, Resulting Numbers: [23, 4] Generated Node #3: [23, 4] from Operation: 63-59=4 Current State: 92:[23, 4], Operations: ['97-38=59', '63-59=4'] Exploring Operation: 23*4=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 49, 18, 64, 72 ]
95
[ "72-64=8", "18*8=144", "144-49=95" ]
Current State: 95:[49, 18, 64, 72], Operations: [] Exploring Operation: 72-64=8, Resulting Numbers: [49, 18, 8] Generated Node #2: [49, 18, 8] from Operation: 72-64=8 Current State: 95:[49, 18, 8], Operations: ['72-64=8'] Exploring Operation: 18*8=144, Resulting Numbers: [49, 144] Generated Node #3: [49, 144] from Operation: 18*8=144 Current State: 95:[49, 144], Operations: ['72-64=8', '18*8=144'] Exploring Operation: 144-49=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 60, 43, 48, 44 ]
98
[ "60*44=2640", "2640/48=55", "43+55=98" ]
Current State: 98:[60, 43, 48, 44], Operations: [] Exploring Operation: 60*44=2640, Resulting Numbers: [43, 48, 2640] Generated Node #2: [43, 48, 2640] from Operation: 60*44=2640 Current State: 98:[43, 48, 2640], Operations: ['60*44=2640'] Exploring Operation: 2640/48=55, Resulting Numbers: [43, 55] Generated Node #3: [43, 55] from Operation: 2640/48=55 Current State: 98:[43, 55], Operations: ['60*44=2640', '2640/48=55'] Exploring Operation: 43+55=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 18, 37, 61, 40 ]
30
[ "18*40=720", "61-37=24", "720/24=30" ]
Current State: 30:[18, 37, 61, 40], Operations: [] Exploring Operation: 18*40=720, Resulting Numbers: [37, 61, 720] Generated Node #2: [37, 61, 720] from Operation: 18*40=720 Current State: 30:[37, 61, 720], Operations: ['18*40=720'] Exploring Operation: 61-37=24, Resulting Numbers: [720, 24] Generated Node #3: [720, 24] from Operation: 61-37=24 Current State: 30:[720, 24], Operations: ['18*40=720', '61-37=24'] Exploring Operation: 720/24=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 65, 42, 51, 94 ]
66
[ "65-42=23", "94-51=43", "23+43=66" ]
Current State: 66:[65, 42, 51, 94], Operations: [] Exploring Operation: 65-42=23, Resulting Numbers: [51, 94, 23] Generated Node #2: [51, 94, 23] from Operation: 65-42=23 Current State: 66:[51, 94, 23], Operations: ['65-42=23'] Exploring Operation: 94-51=43, Resulting Numbers: [23, 43] Generated Node #3: [23, 43] from Operation: 94-51=43 Current State: 66:[23, 43], Operations: ['65-42=23', '94-51=43'] Exploring Operation: 23+43=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 97, 98, 49, 50 ]
98
[ "98-97=1", "49+50=99", "99-1=98" ]
Current State: 98:[97, 98, 49, 50], Operations: [] Exploring Operation: 98-97=1, Resulting Numbers: [49, 50, 1] Generated Node #2: [49, 50, 1] from Operation: 98-97=1 Current State: 98:[49, 50, 1], Operations: ['98-97=1'] Exploring Operation: 49+50=99, Resulting Numbers: [1, 99] Generated Node #3: [1, 99] from Operation: 49+50=99 Current State: 98:[1, 99], Operations: ['98-97=1', '49+50=99'] Exploring Operation: 99-1=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 83, 7, 90, 14 ]
75
[ "83+90=173", "7*14=98", "173-98=75" ]
Current State: 75:[83, 7, 90, 14], Operations: [] Exploring Operation: 83+90=173, Resulting Numbers: [7, 14, 173] Generated Node #2: [7, 14, 173] from Operation: 83+90=173 Current State: 75:[7, 14, 173], Operations: ['83+90=173'] Exploring Operation: 7*14=98, Resulting Numbers: [173, 98] Generated Node #3: [173, 98] from Operation: 7*14=98 Current State: 75:[173, 98], Operations: ['83+90=173', '7*14=98'] Exploring Operation: 173-98=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 26, 30, 8, 45 ]
38
[ "26+30=56", "56/8=7", "45-7=38" ]
Current State: 38:[26, 30, 8, 45], Operations: [] Exploring Operation: 26+30=56, Resulting Numbers: [8, 45, 56] Generated Node #2: [8, 45, 56] from Operation: 26+30=56 Current State: 38:[8, 45, 56], Operations: ['26+30=56'] Exploring Operation: 56/8=7, Resulting Numbers: [45, 7] Generated Node #3: [45, 7] from Operation: 56/8=7 Current State: 38:[45, 7], Operations: ['26+30=56', '56/8=7'] Exploring Operation: 45-7=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 34, 1, 43, 15 ]
25
[ "34-1=33", "43+15=58", "58-33=25" ]
Current State: 25:[34, 1, 43, 15], Operations: [] Exploring Operation: 34-1=33, Resulting Numbers: [43, 15, 33] Generated Node #2: [43, 15, 33] from Operation: 34-1=33 Current State: 25:[43, 15, 33], Operations: ['34-1=33'] Exploring Operation: 43+15=58, Resulting Numbers: [33, 58] Generated Node #3: [33, 58] from Operation: 43+15=58 Current State: 25:[33, 58], Operations: ['34-1=33', '43+15=58'] Exploring Operation: 58-33=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 25, 69, 29, 21 ]
15
[ "29-25=4", "21*4=84", "84-69=15" ]
Current State: 15:[25, 69, 29, 21], Operations: [] Exploring Operation: 29-25=4, Resulting Numbers: [69, 21, 4] Generated Node #2: [69, 21, 4] from Operation: 29-25=4 Current State: 15:[69, 21, 4], Operations: ['29-25=4'] Exploring Operation: 21*4=84, Resulting Numbers: [69, 84] Generated Node #3: [69, 84] from Operation: 21*4=84 Current State: 15:[69, 84], Operations: ['29-25=4', '21*4=84'] Exploring Operation: 84-69=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 71, 83, 34, 3 ]
81
[ "71-3=68", "68/34=2", "83-2=81" ]
Current State: 81:[71, 83, 34, 3], Operations: [] Exploring Operation: 71-3=68, Resulting Numbers: [83, 34, 68] Generated Node #2: [83, 34, 68] from Operation: 71-3=68 Current State: 81:[83, 34, 68], Operations: ['71-3=68'] Exploring Operation: 68/34=2, Resulting Numbers: [83, 2] Generated Node #3: [83, 2] from Operation: 68/34=2 Current State: 81:[83, 2], Operations: ['71-3=68', '68/34=2'] Exploring Operation: 83-2=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 61, 90, 6, 57 ]
60
[ "61-57=4", "90/6=15", "4*15=60" ]
Current State: 60:[61, 90, 6, 57], Operations: [] Exploring Operation: 61-57=4, Resulting Numbers: [90, 6, 4] Generated Node #2: [90, 6, 4] from Operation: 61-57=4 Current State: 60:[90, 6, 4], Operations: ['61-57=4'] Exploring Operation: 90/6=15, Resulting Numbers: [4, 15] Generated Node #3: [4, 15] from Operation: 90/6=15 Current State: 60:[4, 15], Operations: ['61-57=4', '90/6=15'] Exploring Operation: 4*15=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 70, 61, 24, 84 ]
12
[ "70-61=9", "24+84=108", "108/9=12" ]
Current State: 12:[70, 61, 24, 84], Operations: [] Exploring Operation: 70-61=9, Resulting Numbers: [24, 84, 9] Generated Node #2: [24, 84, 9] from Operation: 70-61=9 Current State: 12:[24, 84, 9], Operations: ['70-61=9'] Exploring Operation: 24+84=108, Resulting Numbers: [9, 108] Generated Node #3: [9, 108] from Operation: 24+84=108 Current State: 12:[9, 108], Operations: ['70-61=9', '24+84=108'] Exploring Operation: 108/9=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 22, 11, 19, 69 ]
86
[ "22/11=2", "19+69=88", "88-2=86" ]
Current State: 86:[22, 11, 19, 69], Operations: [] Exploring Operation: 22/11=2, Resulting Numbers: [19, 69, 2] Generated Node #2: [19, 69, 2] from Operation: 22/11=2 Current State: 86:[19, 69, 2], Operations: ['22/11=2'] Exploring Operation: 19+69=88, Resulting Numbers: [2, 88] Generated Node #3: [2, 88] from Operation: 19+69=88 Current State: 86:[2, 88], Operations: ['22/11=2', '19+69=88'] Exploring Operation: 88-2=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 11, 2, 64, 62 ]
52
[ "64+62=126", "126/2=63", "63-11=52" ]
Current State: 52:[11, 2, 64, 62], Operations: [] Exploring Operation: 64+62=126, Resulting Numbers: [11, 2, 126] Generated Node #2: [11, 2, 126] from Operation: 64+62=126 Current State: 52:[11, 2, 126], Operations: ['64+62=126'] Exploring Operation: 126/2=63, Resulting Numbers: [11, 63] Generated Node #3: [11, 63] from Operation: 126/2=63 Current State: 52:[11, 63], Operations: ['64+62=126', '126/2=63'] Exploring Operation: 63-11=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 66, 22, 70, 91 ]
65
[ "66-22=44", "91-70=21", "44+21=65" ]
Current State: 65:[66, 22, 70, 91], Operations: [] Exploring Operation: 66-22=44, Resulting Numbers: [70, 91, 44] Generated Node #2: [70, 91, 44] from Operation: 66-22=44 Current State: 65:[70, 91, 44], Operations: ['66-22=44'] Exploring Operation: 91-70=21, Resulting Numbers: [44, 21] Generated Node #3: [44, 21] from Operation: 91-70=21 Current State: 65:[44, 21], Operations: ['66-22=44', '91-70=21'] Exploring Operation: 44+21=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 50, 21, 2, 48 ]
79
[ "50-21=29", "2+48=50", "29+50=79" ]
Current State: 79:[50, 21, 2, 48], Operations: [] Exploring Operation: 50-21=29, Resulting Numbers: [2, 48, 29] Generated Node #2: [2, 48, 29] from Operation: 50-21=29 Current State: 79:[2, 48, 29], Operations: ['50-21=29'] Exploring Operation: 2+48=50, Resulting Numbers: [29, 50] Generated Node #3: [29, 50] from Operation: 2+48=50 Current State: 79:[29, 50], Operations: ['50-21=29', '2+48=50'] Exploring Operation: 29+50=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 43, 73, 65, 64 ]
13
[ "43+73=116", "65+64=129", "129-116=13" ]
Current State: 13:[43, 73, 65, 64], Operations: [] Exploring Operation: 43+73=116, Resulting Numbers: [65, 64, 116] Generated Node #2: [65, 64, 116] from Operation: 43+73=116 Current State: 13:[65, 64, 116], Operations: ['43+73=116'] Exploring Operation: 65+64=129, Resulting Numbers: [116, 129] Generated Node #3: [116, 129] from Operation: 65+64=129 Current State: 13:[116, 129], Operations: ['43+73=116', '65+64=129'] Exploring Operation: 129-116=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 15, 15, 30, 46 ]
44
[ "15*46=690", "690-30=660", "660/15=44" ]
Current State: 44:[15, 15, 30, 46], Operations: [] Exploring Operation: 15*46=690, Resulting Numbers: [30, 690] Generated Node #2: [30, 690] from Operation: 15*46=690 Current State: 44:[30, 690], Operations: ['15*46=690'] Exploring Operation: 690-30=660, Resulting Numbers: [660] 660,44 equal: Goal Reached Exploring Operation: 660/15=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 63, 76, 42, 21 ]
89
[ "76*42=3192", "3192/21=152", "152-63=89" ]
Current State: 89:[63, 76, 42, 21], Operations: [] Exploring Operation: 76*42=3192, Resulting Numbers: [63, 21, 3192] Generated Node #2: [63, 21, 3192] from Operation: 76*42=3192 Current State: 89:[63, 21, 3192], Operations: ['76*42=3192'] Exploring Operation: 3192/21=152, Resulting Numbers: [63, 152] Generated Node #3: [63, 152] from Operation: 3192/21=152 Current State: 89:[63, 152], Operations: ['76*42=3192', '3192/21=152'] Exploring Operation: 152-63=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 58, 66, 74, 2 ]
45
[ "66-58=8", "74/2=37", "8+37=45" ]
Current State: 45:[58, 66, 74, 2], Operations: [] Exploring Operation: 66-58=8, Resulting Numbers: [74, 2, 8] Generated Node #2: [74, 2, 8] from Operation: 66-58=8 Current State: 45:[74, 2, 8], Operations: ['66-58=8'] Exploring Operation: 74/2=37, Resulting Numbers: [8, 37] Generated Node #3: [8, 37] from Operation: 74/2=37 Current State: 45:[8, 37], Operations: ['66-58=8', '74/2=37'] Exploring Operation: 8+37=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 48, 20, 44, 45 ]
100
[ "48-44=4", "45-20=25", "4*25=100" ]
Current State: 100:[48, 20, 44, 45], Operations: [] Exploring Operation: 48-44=4, Resulting Numbers: [20, 45, 4] Generated Node #2: [20, 45, 4] from Operation: 48-44=4 Current State: 100:[20, 45, 4], Operations: ['48-44=4'] Exploring Operation: 45-20=25, Resulting Numbers: [4, 25] Generated Node #3: [4, 25] from Operation: 45-20=25 Current State: 100:[4, 25], Operations: ['48-44=4', '45-20=25'] Exploring Operation: 4*25=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 94, 25, 99, 7 ]
37
[ "94-25=69", "99+7=106", "106-69=37" ]
Current State: 37:[94, 25, 99, 7], Operations: [] Exploring Operation: 94-25=69, Resulting Numbers: [99, 7, 69] Generated Node #2: [99, 7, 69] from Operation: 94-25=69 Current State: 37:[99, 7, 69], Operations: ['94-25=69'] Exploring Operation: 99+7=106, Resulting Numbers: [69, 106] Generated Node #3: [69, 106] from Operation: 99+7=106 Current State: 37:[69, 106], Operations: ['94-25=69', '99+7=106'] Exploring Operation: 106-69=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 58, 30, 10, 92 ]
74
[ "58-30=28", "10+92=102", "102-28=74" ]
Current State: 74:[58, 30, 10, 92], Operations: [] Exploring Operation: 58-30=28, Resulting Numbers: [10, 92, 28] Generated Node #2: [10, 92, 28] from Operation: 58-30=28 Current State: 74:[10, 92, 28], Operations: ['58-30=28'] Exploring Operation: 10+92=102, Resulting Numbers: [28, 102] Generated Node #3: [28, 102] from Operation: 10+92=102 Current State: 74:[28, 102], Operations: ['58-30=28', '10+92=102'] Exploring Operation: 102-28=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 75, 19, 3, 8 ]
84
[ "19+8=27", "27/3=9", "75+9=84" ]
Current State: 84:[75, 19, 3, 8], Operations: [] Exploring Operation: 19+8=27, Resulting Numbers: [75, 3, 27] Generated Node #2: [75, 3, 27] from Operation: 19+8=27 Current State: 84:[75, 3, 27], Operations: ['19+8=27'] Exploring Operation: 27/3=9, Resulting Numbers: [75, 9] Generated Node #3: [75, 9] from Operation: 27/3=9 Current State: 84:[75, 9], Operations: ['19+8=27', '27/3=9'] Exploring Operation: 75+9=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 2, 3, 38, 14 ]
54
[ "3+38=41", "41-14=27", "2*27=54" ]
Current State: 54:[2, 3, 38, 14], Operations: [] Exploring Operation: 3+38=41, Resulting Numbers: [2, 14, 41] Generated Node #2: [2, 14, 41] from Operation: 3+38=41 Current State: 54:[2, 14, 41], Operations: ['3+38=41'] Exploring Operation: 41-14=27, Resulting Numbers: [2, 27] Generated Node #3: [2, 27] from Operation: 41-14=27 Current State: 54:[2, 27], Operations: ['3+38=41', '41-14=27'] Exploring Operation: 2*27=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 51, 89, 4, 23 ]
23
[ "51-23=28", "4*28=112", "112-89=23" ]
Current State: 23:[51, 89, 4, 23], Operations: [] Exploring Operation: 51-23=28, Resulting Numbers: [89, 4, 28] Generated Node #2: [89, 4, 28] from Operation: 51-23=28 Current State: 23:[89, 4, 28], Operations: ['51-23=28'] Exploring Operation: 4*28=112, Resulting Numbers: [89, 112] Generated Node #3: [89, 112] from Operation: 4*28=112 Current State: 23:[89, 112], Operations: ['51-23=28', '4*28=112'] Exploring Operation: 112-89=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 52, 54, 12, 51 ]
43
[ "52+54=106", "12+51=63", "106-63=43" ]
Current State: 43:[52, 54, 12, 51], Operations: [] Exploring Operation: 52+54=106, Resulting Numbers: [12, 51, 106] Generated Node #2: [12, 51, 106] from Operation: 52+54=106 Current State: 43:[12, 51, 106], Operations: ['52+54=106'] Exploring Operation: 12+51=63, Resulting Numbers: [106, 63] Generated Node #3: [106, 63] from Operation: 12+51=63 Current State: 43:[106, 63], Operations: ['52+54=106', '12+51=63'] Exploring Operation: 106-63=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 61, 32, 2, 4 ]
55
[ "61+2=63", "32/4=8", "63-8=55" ]
Current State: 55:[61, 32, 2, 4], Operations: [] Exploring Operation: 61+2=63, Resulting Numbers: [32, 4, 63] Generated Node #2: [32, 4, 63] from Operation: 61+2=63 Current State: 55:[32, 4, 63], Operations: ['61+2=63'] Exploring Operation: 32/4=8, Resulting Numbers: [63, 8] Generated Node #3: [63, 8] from Operation: 32/4=8 Current State: 55:[63, 8], Operations: ['61+2=63', '32/4=8'] Exploring Operation: 63-8=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 79, 81, 14, 84 ]
62
[ "79+81=160", "14+84=98", "160-98=62" ]
Current State: 62:[79, 81, 14, 84], Operations: [] Exploring Operation: 79+81=160, Resulting Numbers: [14, 84, 160] Generated Node #2: [14, 84, 160] from Operation: 79+81=160 Current State: 62:[14, 84, 160], Operations: ['79+81=160'] Exploring Operation: 14+84=98, Resulting Numbers: [160, 98] Generated Node #3: [160, 98] from Operation: 14+84=98 Current State: 62:[160, 98], Operations: ['79+81=160', '14+84=98'] Exploring Operation: 160-98=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4