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
[ 16, 2, 19, 20 ]
14
[ "16-2=14", "20-19=1", "14*1=14" ]
Current State: 14:[16, 2, 19, 20], Operations: [] Exploring Operation: 16-2=14, Resulting Numbers: [19, 20, 14] Generated Node #2: [19, 20, 14] from Operation: 16-2=14 Current State: 14:[19, 20, 14], Operations: ['16-2=14'] Exploring Operation: 20-19=1, Resulting Numbers: [14, 1] Generated Node #3: [14, 1] from Operation: 20-19=1 Current State: 14:[14, 1], Operations: ['16-2=14', '20-19=1'] Exploring Operation: 14*1=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 92, 5, 73, 3 ]
80
[ "92-73=19", "19-3=16", "5*16=80" ]
Current State: 80:[92, 5, 73, 3], Operations: [] Exploring Operation: 92-73=19, Resulting Numbers: [5, 3, 19] Generated Node #2: [5, 3, 19] from Operation: 92-73=19 Current State: 80:[5, 3, 19], Operations: ['92-73=19'] Exploring Operation: 19-3=16, Resulting Numbers: [5, 16] Generated Node #3: [5, 16] from Operation: 19-3=16 Current State: 80:[5, 16], Operations: ['92-73=19', '19-3=16'] Exploring Operation: 5*16=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 87, 63, 51, 78 ]
21
[ "87+63=150", "51+78=129", "150-129=21" ]
Current State: 21:[87, 63, 51, 78], Operations: [] Exploring Operation: 87+63=150, Resulting Numbers: [51, 78, 150] Generated Node #2: [51, 78, 150] from Operation: 87+63=150 Current State: 21:[51, 78, 150], Operations: ['87+63=150'] Exploring Operation: 51+78=129, Resulting Numbers: [150, 129] Generated Node #3: [150, 129] from Operation: 51+78=129 Current State: 21:[150, 129], Operations: ['87+63=150', '51+78=129'] Exploring Operation: 150-129=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 2, 33, 33, 13 ]
59
[ "33+13=46", "2*46=92", "92-33=59" ]
Current State: 59:[2, 33, 33, 13], Operations: [] Exploring Operation: 33+13=46, Resulting Numbers: [2, 46] Generated Node #2: [2, 46] from Operation: 33+13=46 Current State: 59:[2, 46], Operations: ['33+13=46'] Exploring Operation: 2*46=92, Resulting Numbers: [92] 92,59 equal: Goal Reached Exploring Operation: 92-33=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 49, 44, 59, 10 ]
43
[ "59-49=10", "10/10=1", "44-1=43" ]
Current State: 43:[49, 44, 59, 10], Operations: [] Exploring Operation: 59-49=10, Resulting Numbers: [44, 10, 10] Generated Node #2: [44, 10, 10] from Operation: 59-49=10 Current State: 43:[44, 10, 10], Operations: ['59-49=10'] Exploring Operation: 10/10=1, Resulting Numbers: [44, 1] Generated Node #3: [44, 1] from Operation: 10/10=1 Current State: 43:[44, 1], Operations: ['59-49=10', '10/10=1'] Exploring Operation: 44-1=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 37, 42, 81, 84 ]
69
[ "84-81=3", "37*3=111", "111-42=69" ]
Current State: 69:[37, 42, 81, 84], Operations: [] Exploring Operation: 84-81=3, Resulting Numbers: [37, 42, 3] Generated Node #2: [37, 42, 3] from Operation: 84-81=3 Current State: 69:[37, 42, 3], Operations: ['84-81=3'] Exploring Operation: 37*3=111, Resulting Numbers: [42, 111] Generated Node #3: [42, 111] from Operation: 37*3=111 Current State: 69:[42, 111], Operations: ['84-81=3', '37*3=111'] Exploring Operation: 111-42=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 76, 65, 75, 22 ]
73
[ "76-65=11", "22/11=2", "75-2=73" ]
Current State: 73:[76, 65, 75, 22], Operations: [] Exploring Operation: 76-65=11, Resulting Numbers: [75, 22, 11] Generated Node #2: [75, 22, 11] from Operation: 76-65=11 Current State: 73:[75, 22, 11], Operations: ['76-65=11'] Exploring Operation: 22/11=2, Resulting Numbers: [75, 2] Generated Node #3: [75, 2] from Operation: 22/11=2 Current State: 73:[75, 2], Operations: ['76-65=11', '22/11=2'] Exploring Operation: 75-2=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 30, 32, 98, 14 ]
91
[ "32-30=2", "14/2=7", "98-7=91" ]
Current State: 91:[30, 32, 98, 14], Operations: [] Exploring Operation: 32-30=2, Resulting Numbers: [98, 14, 2] Generated Node #2: [98, 14, 2] from Operation: 32-30=2 Current State: 91:[98, 14, 2], Operations: ['32-30=2'] Exploring Operation: 14/2=7, Resulting Numbers: [98, 7] Generated Node #3: [98, 7] from Operation: 14/2=7 Current State: 91:[98, 7], Operations: ['32-30=2', '14/2=7'] Exploring Operation: 98-7=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 2, 5, 33, 20 ]
65
[ "2+33=35", "5*20=100", "100-35=65" ]
Current State: 65:[2, 5, 33, 20], Operations: [] Exploring Operation: 2+33=35, Resulting Numbers: [5, 20, 35] Generated Node #2: [5, 20, 35] from Operation: 2+33=35 Current State: 65:[5, 20, 35], Operations: ['2+33=35'] Exploring Operation: 5*20=100, Resulting Numbers: [35, 100] Generated Node #3: [35, 100] from Operation: 5*20=100 Current State: 65:[35, 100], Operations: ['2+33=35', '5*20=100'] Exploring Operation: 100-35=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 20, 61, 30, 71 ]
88
[ "61+71=132", "20*132=2640", "2640/30=88" ]
Current State: 88:[20, 61, 30, 71], Operations: [] Exploring Operation: 61+71=132, Resulting Numbers: [20, 30, 132] Generated Node #2: [20, 30, 132] from Operation: 61+71=132 Current State: 88:[20, 30, 132], Operations: ['61+71=132'] Exploring Operation: 20*132=2640, Resulting Numbers: [30, 2640] Generated Node #3: [30, 2640] from Operation: 20*132=2640 Current State: 88:[30, 2640], Operations: ['61+71=132', '20*132=2640'] Exploring Operation: 2640/30=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 97, 22, 6, 54 ]
59
[ "97+22=119", "6+54=60", "119-60=59" ]
Current State: 59:[97, 22, 6, 54], Operations: [] Exploring Operation: 97+22=119, Resulting Numbers: [6, 54, 119] Generated Node #2: [6, 54, 119] from Operation: 97+22=119 Current State: 59:[6, 54, 119], Operations: ['97+22=119'] Exploring Operation: 6+54=60, Resulting Numbers: [119, 60] Generated Node #3: [119, 60] from Operation: 6+54=60 Current State: 59:[119, 60], Operations: ['97+22=119', '6+54=60'] Exploring Operation: 119-60=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 98, 26, 82, 19 ]
78
[ "98-82=16", "19-16=3", "26*3=78" ]
Current State: 78:[98, 26, 82, 19], Operations: [] Exploring Operation: 98-82=16, Resulting Numbers: [26, 19, 16] Generated Node #2: [26, 19, 16] from Operation: 98-82=16 Current State: 78:[26, 19, 16], Operations: ['98-82=16'] Exploring Operation: 19-16=3, Resulting Numbers: [26, 3] Generated Node #3: [26, 3] from Operation: 19-16=3 Current State: 78:[26, 3], Operations: ['98-82=16', '19-16=3'] Exploring Operation: 26*3=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 28, 47, 31, 38 ]
26
[ "47-28=19", "38-31=7", "19+7=26" ]
Current State: 26:[28, 47, 31, 38], Operations: [] Exploring Operation: 47-28=19, Resulting Numbers: [31, 38, 19] Generated Node #2: [31, 38, 19] from Operation: 47-28=19 Current State: 26:[31, 38, 19], Operations: ['47-28=19'] Exploring Operation: 38-31=7, Resulting Numbers: [19, 7] Generated Node #3: [19, 7] from Operation: 38-31=7 Current State: 26:[19, 7], Operations: ['47-28=19', '38-31=7'] Exploring Operation: 19+7=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 84, 60, 2, 31 ]
23
[ "84-31=53", "60/2=30", "53-30=23" ]
Current State: 23:[84, 60, 2, 31], Operations: [] Exploring Operation: 84-31=53, Resulting Numbers: [60, 2, 53] Generated Node #2: [60, 2, 53] from Operation: 84-31=53 Current State: 23:[60, 2, 53], Operations: ['84-31=53'] Exploring Operation: 60/2=30, Resulting Numbers: [53, 30] Generated Node #3: [53, 30] from Operation: 60/2=30 Current State: 23:[53, 30], Operations: ['84-31=53', '60/2=30'] Exploring Operation: 53-30=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 59, 60, 15, 39 ]
55
[ "60-59=1", "15+39=54", "1+54=55" ]
Current State: 55:[59, 60, 15, 39], Operations: [] Exploring Operation: 60-59=1, Resulting Numbers: [15, 39, 1] Generated Node #2: [15, 39, 1] from Operation: 60-59=1 Current State: 55:[15, 39, 1], Operations: ['60-59=1'] Exploring Operation: 15+39=54, Resulting Numbers: [1, 54] Generated Node #3: [1, 54] from Operation: 15+39=54 Current State: 55:[1, 54], Operations: ['60-59=1', '15+39=54'] Exploring Operation: 1+54=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 8, 15, 59, 2 ]
72
[ "8+15=23", "59-23=36", "2*36=72" ]
Current State: 72:[8, 15, 59, 2], Operations: [] Exploring Operation: 8+15=23, Resulting Numbers: [59, 2, 23] Generated Node #2: [59, 2, 23] from Operation: 8+15=23 Current State: 72:[59, 2, 23], Operations: ['8+15=23'] Exploring Operation: 59-23=36, Resulting Numbers: [2, 36] Generated Node #3: [2, 36] from Operation: 59-23=36 Current State: 72:[2, 36], Operations: ['8+15=23', '59-23=36'] Exploring Operation: 2*36=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 60, 2, 47, 70 ]
84
[ "70-60=10", "2*47=94", "94-10=84" ]
Current State: 84:[60, 2, 47, 70], Operations: [] Exploring Operation: 70-60=10, Resulting Numbers: [2, 47, 10] Generated Node #2: [2, 47, 10] from Operation: 70-60=10 Current State: 84:[2, 47, 10], Operations: ['70-60=10'] Exploring Operation: 2*47=94, Resulting Numbers: [10, 94] Generated Node #3: [10, 94] from Operation: 2*47=94 Current State: 84:[10, 94], Operations: ['70-60=10', '2*47=94'] Exploring Operation: 94-10=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 3, 69, 37, 23 ]
86
[ "3+69=72", "37-23=14", "72+14=86" ]
Current State: 86:[3, 69, 37, 23], Operations: [] Exploring Operation: 3+69=72, Resulting Numbers: [37, 23, 72] Generated Node #2: [37, 23, 72] from Operation: 3+69=72 Current State: 86:[37, 23, 72], Operations: ['3+69=72'] Exploring Operation: 37-23=14, Resulting Numbers: [72, 14] Generated Node #3: [72, 14] from Operation: 37-23=14 Current State: 86:[72, 14], Operations: ['3+69=72', '37-23=14'] Exploring Operation: 72+14=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 67, 22, 22, 15 ]
25
[ "67-22=45", "45/15=3", "22+3=25" ]
Current State: 25:[67, 22, 22, 15], Operations: [] Exploring Operation: 67-22=45, Resulting Numbers: [15, 45] Generated Node #2: [15, 45] from Operation: 67-22=45 Current State: 25:[15, 45], Operations: ['67-22=45'] Exploring Operation: 45/15=3, Resulting Numbers: [3] 3,25 equal: Goal Reached Exploring Operation: 22+3=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 4, 82, 24, 96 ]
83
[ "4*24=96", "96/96=1", "82+1=83" ]
Current State: 83:[4, 82, 24, 96], Operations: [] Exploring Operation: 4*24=96, Resulting Numbers: [82, 96, 96] Generated Node #2: [82, 96, 96] from Operation: 4*24=96 Current State: 83:[82, 96, 96], Operations: ['4*24=96'] Exploring Operation: 96/96=1, Resulting Numbers: [82, 1] Generated Node #3: [82, 1] from Operation: 96/96=1 Current State: 83:[82, 1], Operations: ['4*24=96', '96/96=1'] Exploring Operation: 82+1=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 12, 65, 33, 77 ]
34
[ "12+65=77", "77/77=1", "33+1=34" ]
Current State: 34:[12, 65, 33, 77], Operations: [] Exploring Operation: 12+65=77, Resulting Numbers: [33, 77, 77] Generated Node #2: [33, 77, 77] from Operation: 12+65=77 Current State: 34:[33, 77, 77], Operations: ['12+65=77'] Exploring Operation: 77/77=1, Resulting Numbers: [33, 1] Generated Node #3: [33, 1] from Operation: 77/77=1 Current State: 34:[33, 1], Operations: ['12+65=77', '77/77=1'] Exploring Operation: 33+1=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 16, 20, 79, 18 ]
71
[ "20-18=2", "16/2=8", "79-8=71" ]
Current State: 71:[16, 20, 79, 18], Operations: [] Exploring Operation: 20-18=2, Resulting Numbers: [16, 79, 2] Generated Node #2: [16, 79, 2] from Operation: 20-18=2 Current State: 71:[16, 79, 2], Operations: ['20-18=2'] Exploring Operation: 16/2=8, Resulting Numbers: [79, 8] Generated Node #3: [79, 8] from Operation: 16/2=8 Current State: 71:[79, 8], Operations: ['20-18=2', '16/2=8'] Exploring Operation: 79-8=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 92, 15, 8, 61 ]
24
[ "92-15=77", "61-8=53", "77-53=24" ]
Current State: 24:[92, 15, 8, 61], Operations: [] Exploring Operation: 92-15=77, Resulting Numbers: [8, 61, 77] Generated Node #2: [8, 61, 77] from Operation: 92-15=77 Current State: 24:[8, 61, 77], Operations: ['92-15=77'] Exploring Operation: 61-8=53, Resulting Numbers: [77, 53] Generated Node #3: [77, 53] from Operation: 61-8=53 Current State: 24:[77, 53], Operations: ['92-15=77', '61-8=53'] Exploring Operation: 77-53=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 35, 36, 54, 37 ]
20
[ "35+36=71", "54+37=91", "91-71=20" ]
Current State: 20:[35, 36, 54, 37], Operations: [] Exploring Operation: 35+36=71, Resulting Numbers: [54, 37, 71] Generated Node #2: [54, 37, 71] from Operation: 35+36=71 Current State: 20:[54, 37, 71], Operations: ['35+36=71'] Exploring Operation: 54+37=91, Resulting Numbers: [71, 91] Generated Node #3: [71, 91] from Operation: 54+37=91 Current State: 20:[71, 91], Operations: ['35+36=71', '54+37=91'] Exploring Operation: 91-71=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 13, 51, 3, 51 ]
52
[ "51/51=1", "3+1=4", "13*4=52" ]
Current State: 52:[13, 51, 3, 51], Operations: [] Exploring Operation: 51/51=1, Resulting Numbers: [13, 3, 1] Generated Node #2: [13, 3, 1] from Operation: 51/51=1 Current State: 52:[13, 3, 1], Operations: ['51/51=1'] Exploring Operation: 3+1=4, Resulting Numbers: [13, 4] Generated Node #3: [13, 4] from Operation: 3+1=4 Current State: 52:[13, 4], Operations: ['51/51=1', '3+1=4'] Exploring Operation: 13*4=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 11, 81, 94, 60 ]
67
[ "94+60=154", "154/11=14", "81-14=67" ]
Current State: 67:[11, 81, 94, 60], Operations: [] Exploring Operation: 94+60=154, Resulting Numbers: [11, 81, 154] Generated Node #2: [11, 81, 154] from Operation: 94+60=154 Current State: 67:[11, 81, 154], Operations: ['94+60=154'] Exploring Operation: 154/11=14, Resulting Numbers: [81, 14] Generated Node #3: [81, 14] from Operation: 154/11=14 Current State: 67:[81, 14], Operations: ['94+60=154', '154/11=14'] Exploring Operation: 81-14=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 35, 39, 89, 87 ]
43
[ "89-87=2", "39*2=78", "78-35=43" ]
Current State: 43:[35, 39, 89, 87], Operations: [] Exploring Operation: 89-87=2, Resulting Numbers: [35, 39, 2] Generated Node #2: [35, 39, 2] from Operation: 89-87=2 Current State: 43:[35, 39, 2], Operations: ['89-87=2'] Exploring Operation: 39*2=78, Resulting Numbers: [35, 78] Generated Node #3: [35, 78] from Operation: 39*2=78 Current State: 43:[35, 78], Operations: ['89-87=2', '39*2=78'] Exploring Operation: 78-35=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 23, 19, 65, 4 ]
19
[ "23+19=42", "65-4=61", "61-42=19" ]
Current State: 19:[23, 19, 65, 4], Operations: [] Exploring Operation: 23+19=42, Resulting Numbers: [65, 4, 42] Generated Node #2: [65, 4, 42] from Operation: 23+19=42 Current State: 19:[65, 4, 42], Operations: ['23+19=42'] Exploring Operation: 65-4=61, Resulting Numbers: [42, 61] Generated Node #3: [42, 61] from Operation: 65-4=61 Current State: 19:[42, 61], Operations: ['23+19=42', '65-4=61'] Exploring Operation: 61-42=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 12, 96, 45, 54 ]
32
[ "12+45=57", "57-54=3", "96/3=32" ]
Current State: 32:[12, 96, 45, 54], Operations: [] Exploring Operation: 12+45=57, Resulting Numbers: [96, 54, 57] Generated Node #2: [96, 54, 57] from Operation: 12+45=57 Current State: 32:[96, 54, 57], Operations: ['12+45=57'] Exploring Operation: 57-54=3, Resulting Numbers: [96, 3] Generated Node #3: [96, 3] from Operation: 57-54=3 Current State: 32:[96, 3], Operations: ['12+45=57', '57-54=3'] Exploring Operation: 96/3=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 3, 96, 1, 46 ]
46
[ "96-3=93", "1+46=47", "93-47=46" ]
Current State: 46:[3, 96, 1, 46], Operations: [] Exploring Operation: 96-3=93, Resulting Numbers: [1, 46, 93] Generated Node #2: [1, 46, 93] from Operation: 96-3=93 Current State: 46:[1, 46, 93], Operations: ['96-3=93'] Exploring Operation: 1+46=47, Resulting Numbers: [93, 47] Generated Node #3: [93, 47] from Operation: 1+46=47 Current State: 46:[93, 47], Operations: ['96-3=93', '1+46=47'] Exploring Operation: 93-47=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 59, 25, 29, 25 ]
89
[ "59+29=88", "25/25=1", "88+1=89" ]
Current State: 89:[59, 25, 29, 25], Operations: [] Exploring Operation: 59+29=88, Resulting Numbers: [25, 25, 88] Generated Node #2: [25, 25, 88] from Operation: 59+29=88 Current State: 89:[25, 25, 88], Operations: ['59+29=88'] Exploring Operation: 25/25=1, Resulting Numbers: [88, 1] Generated Node #3: [88, 1] from Operation: 25/25=1 Current State: 89:[88, 1], Operations: ['59+29=88', '25/25=1'] Exploring Operation: 88+1=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 18, 45, 19, 72 ]
80
[ "45-18=27", "72-19=53", "27+53=80" ]
Current State: 80:[18, 45, 19, 72], Operations: [] Exploring Operation: 45-18=27, Resulting Numbers: [19, 72, 27] Generated Node #2: [19, 72, 27] from Operation: 45-18=27 Current State: 80:[19, 72, 27], Operations: ['45-18=27'] Exploring Operation: 72-19=53, Resulting Numbers: [27, 53] Generated Node #3: [27, 53] from Operation: 72-19=53 Current State: 80:[27, 53], Operations: ['45-18=27', '72-19=53'] Exploring Operation: 27+53=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 80, 48, 16, 64 ]
32
[ "80+48=128", "64/16=4", "128/4=32" ]
Current State: 32:[80, 48, 16, 64], Operations: [] Exploring Operation: 80+48=128, Resulting Numbers: [16, 64, 128] Generated Node #2: [16, 64, 128] from Operation: 80+48=128 Current State: 32:[16, 64, 128], Operations: ['80+48=128'] Exploring Operation: 64/16=4, Resulting Numbers: [128, 4] Generated Node #3: [128, 4] from Operation: 64/16=4 Current State: 32:[128, 4], Operations: ['80+48=128', '64/16=4'] Exploring Operation: 128/4=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 20, 60, 48, 42 ]
58
[ "60/20=3", "48/3=16", "42+16=58" ]
Current State: 58:[20, 60, 48, 42], Operations: [] Exploring Operation: 60/20=3, Resulting Numbers: [48, 42, 3] Generated Node #2: [48, 42, 3] from Operation: 60/20=3 Current State: 58:[48, 42, 3], Operations: ['60/20=3'] Exploring Operation: 48/3=16, Resulting Numbers: [42, 16] Generated Node #3: [42, 16] from Operation: 48/3=16 Current State: 58:[42, 16], Operations: ['60/20=3', '48/3=16'] Exploring Operation: 42+16=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 3, 14, 2, 84 ]
38
[ "84-14=70", "70/2=35", "3+35=38" ]
Current State: 38:[3, 14, 2, 84], Operations: [] Exploring Operation: 84-14=70, Resulting Numbers: [3, 2, 70] Generated Node #2: [3, 2, 70] from Operation: 84-14=70 Current State: 38:[3, 2, 70], Operations: ['84-14=70'] Exploring Operation: 70/2=35, Resulting Numbers: [3, 35] Generated Node #3: [3, 35] from Operation: 70/2=35 Current State: 38:[3, 35], Operations: ['84-14=70', '70/2=35'] Exploring Operation: 3+35=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 47, 17, 5, 55 ]
51
[ "47+5=52", "55-52=3", "17*3=51" ]
Current State: 51:[47, 17, 5, 55], Operations: [] Exploring Operation: 47+5=52, Resulting Numbers: [17, 55, 52] Generated Node #2: [17, 55, 52] from Operation: 47+5=52 Current State: 51:[17, 55, 52], Operations: ['47+5=52'] Exploring Operation: 55-52=3, Resulting Numbers: [17, 3] Generated Node #3: [17, 3] from Operation: 55-52=3 Current State: 51:[17, 3], Operations: ['47+5=52', '55-52=3'] Exploring Operation: 17*3=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 61, 51, 73, 47 ]
86
[ "61+51=112", "73-47=26", "112-26=86" ]
Current State: 86:[61, 51, 73, 47], Operations: [] Exploring Operation: 61+51=112, Resulting Numbers: [73, 47, 112] Generated Node #2: [73, 47, 112] from Operation: 61+51=112 Current State: 86:[73, 47, 112], Operations: ['61+51=112'] Exploring Operation: 73-47=26, Resulting Numbers: [112, 26] Generated Node #3: [112, 26] from Operation: 73-47=26 Current State: 86:[112, 26], Operations: ['61+51=112', '73-47=26'] Exploring Operation: 112-26=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 9, 73, 14, 1 ]
52
[ "9*14=126", "73+1=74", "126-74=52" ]
Current State: 52:[9, 73, 14, 1], Operations: [] Exploring Operation: 9*14=126, Resulting Numbers: [73, 1, 126] Generated Node #2: [73, 1, 126] from Operation: 9*14=126 Current State: 52:[73, 1, 126], Operations: ['9*14=126'] Exploring Operation: 73+1=74, Resulting Numbers: [126, 74] Generated Node #3: [126, 74] from Operation: 73+1=74 Current State: 52:[126, 74], Operations: ['9*14=126', '73+1=74'] Exploring Operation: 126-74=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 15, 40, 4, 10 ]
11
[ "40-15=25", "4+10=14", "25-14=11" ]
Current State: 11:[15, 40, 4, 10], Operations: [] Exploring Operation: 40-15=25, Resulting Numbers: [4, 10, 25] Generated Node #2: [4, 10, 25] from Operation: 40-15=25 Current State: 11:[4, 10, 25], Operations: ['40-15=25'] Exploring Operation: 4+10=14, Resulting Numbers: [25, 14] Generated Node #3: [25, 14] from Operation: 4+10=14 Current State: 11:[25, 14], Operations: ['40-15=25', '4+10=14'] Exploring Operation: 25-14=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 3, 64, 80, 6 ]
72
[ "6/3=2", "64+80=144", "144/2=72" ]
Current State: 72:[3, 64, 80, 6], Operations: [] Exploring Operation: 6/3=2, Resulting Numbers: [64, 80, 2] Generated Node #2: [64, 80, 2] from Operation: 6/3=2 Current State: 72:[64, 80, 2], Operations: ['6/3=2'] Exploring Operation: 64+80=144, Resulting Numbers: [2, 144] Generated Node #3: [2, 144] from Operation: 64+80=144 Current State: 72:[2, 144], Operations: ['6/3=2', '64+80=144'] Exploring Operation: 144/2=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 27, 24, 75, 33 ]
69
[ "33-27=6", "24*6=144", "144-75=69" ]
Current State: 69:[27, 24, 75, 33], Operations: [] Exploring Operation: 33-27=6, Resulting Numbers: [24, 75, 6] Generated Node #2: [24, 75, 6] from Operation: 33-27=6 Current State: 69:[24, 75, 6], Operations: ['33-27=6'] Exploring Operation: 24*6=144, Resulting Numbers: [75, 144] Generated Node #3: [75, 144] from Operation: 24*6=144 Current State: 69:[75, 144], Operations: ['33-27=6', '24*6=144'] Exploring Operation: 144-75=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 68, 55, 73, 50 ]
36
[ "68-55=13", "73-50=23", "13+23=36" ]
Current State: 36:[68, 55, 73, 50], Operations: [] Exploring Operation: 68-55=13, Resulting Numbers: [73, 50, 13] Generated Node #2: [73, 50, 13] from Operation: 68-55=13 Current State: 36:[73, 50, 13], Operations: ['68-55=13'] Exploring Operation: 73-50=23, Resulting Numbers: [13, 23] Generated Node #3: [13, 23] from Operation: 73-50=23 Current State: 36:[13, 23], Operations: ['68-55=13', '73-50=23'] Exploring Operation: 13+23=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 12, 3, 50, 30 ]
80
[ "12/3=4", "50-30=20", "4*20=80" ]
Current State: 80:[12, 3, 50, 30], Operations: [] Exploring Operation: 12/3=4, Resulting Numbers: [50, 30, 4] Generated Node #2: [50, 30, 4] from Operation: 12/3=4 Current State: 80:[50, 30, 4], Operations: ['12/3=4'] Exploring Operation: 50-30=20, Resulting Numbers: [4, 20] Generated Node #3: [4, 20] from Operation: 50-30=20 Current State: 80:[4, 20], Operations: ['12/3=4', '50-30=20'] Exploring Operation: 4*20=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 1, 59, 26, 63 ]
30
[ "1*59=59", "26+63=89", "89-59=30" ]
Current State: 30:[1, 59, 26, 63], Operations: [] Exploring Operation: 1*59=59, Resulting Numbers: [26, 63, 59] Generated Node #2: [26, 63, 59] from Operation: 1*59=59 Current State: 30:[26, 63, 59], Operations: ['1*59=59'] Exploring Operation: 26+63=89, Resulting Numbers: [59, 89] Generated Node #3: [59, 89] from Operation: 26+63=89 Current State: 30:[59, 89], Operations: ['1*59=59', '26+63=89'] Exploring Operation: 89-59=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 26, 45, 45, 66 ]
39
[ "66-26=40", "45/45=1", "40-1=39" ]
Current State: 39:[26, 45, 45, 66], Operations: [] Exploring Operation: 66-26=40, Resulting Numbers: [45, 45, 40] Generated Node #2: [45, 45, 40] from Operation: 66-26=40 Current State: 39:[45, 45, 40], Operations: ['66-26=40'] Exploring Operation: 45/45=1, Resulting Numbers: [40, 1] Generated Node #3: [40, 1] from Operation: 45/45=1 Current State: 39:[40, 1], Operations: ['66-26=40', '45/45=1'] Exploring Operation: 40-1=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 45, 49, 3, 2 ]
22
[ "49-3=46", "46/2=23", "45-23=22" ]
Current State: 22:[45, 49, 3, 2], Operations: [] Exploring Operation: 49-3=46, Resulting Numbers: [45, 2, 46] Generated Node #2: [45, 2, 46] from Operation: 49-3=46 Current State: 22:[45, 2, 46], Operations: ['49-3=46'] Exploring Operation: 46/2=23, Resulting Numbers: [45, 23] Generated Node #3: [45, 23] from Operation: 46/2=23 Current State: 22:[45, 23], Operations: ['49-3=46', '46/2=23'] Exploring Operation: 45-23=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 19, 5, 15, 10 ]
95
[ "15+10=25", "19*25=475", "475/5=95" ]
Current State: 95:[19, 5, 15, 10], Operations: [] Exploring Operation: 15+10=25, Resulting Numbers: [19, 5, 25] Generated Node #2: [19, 5, 25] from Operation: 15+10=25 Current State: 95:[19, 5, 25], Operations: ['15+10=25'] Exploring Operation: 19*25=475, Resulting Numbers: [5, 475] Generated Node #3: [5, 475] from Operation: 19*25=475 Current State: 95:[5, 475], Operations: ['15+10=25', '19*25=475'] Exploring Operation: 475/5=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 93, 90, 51, 37 ]
20
[ "93-90=3", "51/3=17", "37-17=20" ]
Current State: 20:[93, 90, 51, 37], Operations: [] Exploring Operation: 93-90=3, Resulting Numbers: [51, 37, 3] Generated Node #2: [51, 37, 3] from Operation: 93-90=3 Current State: 20:[51, 37, 3], Operations: ['93-90=3'] Exploring Operation: 51/3=17, Resulting Numbers: [37, 17] Generated Node #3: [37, 17] from Operation: 51/3=17 Current State: 20:[37, 17], Operations: ['93-90=3', '51/3=17'] Exploring Operation: 37-17=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 17, 11, 7, 50 ]
63
[ "17-11=6", "7+50=57", "6+57=63" ]
Current State: 63:[17, 11, 7, 50], Operations: [] Exploring Operation: 17-11=6, Resulting Numbers: [7, 50, 6] Generated Node #2: [7, 50, 6] from Operation: 17-11=6 Current State: 63:[7, 50, 6], Operations: ['17-11=6'] Exploring Operation: 7+50=57, Resulting Numbers: [6, 57] Generated Node #3: [6, 57] from Operation: 7+50=57 Current State: 63:[6, 57], Operations: ['17-11=6', '7+50=57'] Exploring Operation: 6+57=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 14, 16, 88, 27 ]
66
[ "27-16=11", "14*11=154", "154-88=66" ]
Current State: 66:[14, 16, 88, 27], Operations: [] Exploring Operation: 27-16=11, Resulting Numbers: [14, 88, 11] Generated Node #2: [14, 88, 11] from Operation: 27-16=11 Current State: 66:[14, 88, 11], Operations: ['27-16=11'] Exploring Operation: 14*11=154, Resulting Numbers: [88, 154] Generated Node #3: [88, 154] from Operation: 14*11=154 Current State: 66:[88, 154], Operations: ['27-16=11', '14*11=154'] Exploring Operation: 154-88=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 81, 47, 64, 95 ]
97
[ "81+47=128", "95-64=31", "128-31=97" ]
Current State: 97:[81, 47, 64, 95], Operations: [] Exploring Operation: 81+47=128, Resulting Numbers: [64, 95, 128] Generated Node #2: [64, 95, 128] from Operation: 81+47=128 Current State: 97:[64, 95, 128], Operations: ['81+47=128'] Exploring Operation: 95-64=31, Resulting Numbers: [128, 31] Generated Node #3: [128, 31] from Operation: 95-64=31 Current State: 97:[128, 31], Operations: ['81+47=128', '95-64=31'] Exploring Operation: 128-31=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 96, 63, 21, 56 ]
85
[ "96*56=5376", "5376-21=5355", "5355/63=85" ]
Current State: 85:[96, 63, 21, 56], Operations: [] Exploring Operation: 96*56=5376, Resulting Numbers: [63, 21, 5376] Generated Node #2: [63, 21, 5376] from Operation: 96*56=5376 Current State: 85:[63, 21, 5376], Operations: ['96*56=5376'] Exploring Operation: 5376-21=5355, Resulting Numbers: [63, 5355] Generated Node #3: [63, 5355] from Operation: 5376-21=5355 Current State: 85:[63, 5355], Operations: ['96*56=5376', '5376-21=5355'] Exploring Operation: 5355/63=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 2, 90, 91, 15 ]
83
[ "91-2=89", "90/15=6", "89-6=83" ]
Current State: 83:[2, 90, 91, 15], Operations: [] Exploring Operation: 91-2=89, Resulting Numbers: [90, 15, 89] Generated Node #2: [90, 15, 89] from Operation: 91-2=89 Current State: 83:[90, 15, 89], Operations: ['91-2=89'] Exploring Operation: 90/15=6, Resulting Numbers: [89, 6] Generated Node #3: [89, 6] from Operation: 90/15=6 Current State: 83:[89, 6], Operations: ['91-2=89', '90/15=6'] Exploring Operation: 89-6=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 89, 16, 15, 60 ]
29
[ "89-60=29", "16-15=1", "29*1=29" ]
Current State: 29:[89, 16, 15, 60], Operations: [] Exploring Operation: 89-60=29, Resulting Numbers: [16, 15, 29] Generated Node #2: [16, 15, 29] from Operation: 89-60=29 Current State: 29:[16, 15, 29], Operations: ['89-60=29'] Exploring Operation: 16-15=1, Resulting Numbers: [29, 1] Generated Node #3: [29, 1] from Operation: 16-15=1 Current State: 29:[29, 1], Operations: ['89-60=29', '16-15=1'] Exploring Operation: 29*1=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 51, 16, 46, 26 ]
80
[ "51*26=1326", "1326-46=1280", "1280/16=80" ]
Current State: 80:[51, 16, 46, 26], Operations: [] Exploring Operation: 51*26=1326, Resulting Numbers: [16, 46, 1326] Generated Node #2: [16, 46, 1326] from Operation: 51*26=1326 Current State: 80:[16, 46, 1326], Operations: ['51*26=1326'] Exploring Operation: 1326-46=1280, Resulting Numbers: [16, 1280] Generated Node #3: [16, 1280] from Operation: 1326-46=1280 Current State: 80:[16, 1280], Operations: ['51*26=1326', '1326-46=1280'] Exploring Operation: 1280/16=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 62, 79, 7, 71 ]
98
[ "62+71=133", "133/7=19", "79+19=98" ]
Current State: 98:[62, 79, 7, 71], Operations: [] Exploring Operation: 62+71=133, Resulting Numbers: [79, 7, 133] Generated Node #2: [79, 7, 133] from Operation: 62+71=133 Current State: 98:[79, 7, 133], Operations: ['62+71=133'] Exploring Operation: 133/7=19, Resulting Numbers: [79, 19] Generated Node #3: [79, 19] from Operation: 133/7=19 Current State: 98:[79, 19], Operations: ['62+71=133', '133/7=19'] Exploring Operation: 79+19=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 18, 15, 74, 84 ]
10
[ "74-18=56", "15*56=840", "840/84=10" ]
Current State: 10:[18, 15, 74, 84], Operations: [] Exploring Operation: 74-18=56, Resulting Numbers: [15, 84, 56] Generated Node #2: [15, 84, 56] from Operation: 74-18=56 Current State: 10:[15, 84, 56], Operations: ['74-18=56'] Exploring Operation: 15*56=840, Resulting Numbers: [84, 840] Generated Node #3: [84, 840] from Operation: 15*56=840 Current State: 10:[84, 840], Operations: ['74-18=56', '15*56=840'] Exploring Operation: 840/84=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 56, 3, 70, 59 ]
42
[ "56-3=53", "70-59=11", "53-11=42" ]
Current State: 42:[56, 3, 70, 59], Operations: [] Exploring Operation: 56-3=53, Resulting Numbers: [70, 59, 53] Generated Node #2: [70, 59, 53] from Operation: 56-3=53 Current State: 42:[70, 59, 53], Operations: ['56-3=53'] Exploring Operation: 70-59=11, Resulting Numbers: [53, 11] Generated Node #3: [53, 11] from Operation: 70-59=11 Current State: 42:[53, 11], Operations: ['56-3=53', '70-59=11'] Exploring Operation: 53-11=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 41, 74, 22, 98 ]
87
[ "74-41=33", "22+98=120", "120-33=87" ]
Current State: 87:[41, 74, 22, 98], Operations: [] Exploring Operation: 74-41=33, Resulting Numbers: [22, 98, 33] Generated Node #2: [22, 98, 33] from Operation: 74-41=33 Current State: 87:[22, 98, 33], Operations: ['74-41=33'] Exploring Operation: 22+98=120, Resulting Numbers: [33, 120] Generated Node #3: [33, 120] from Operation: 22+98=120 Current State: 87:[33, 120], Operations: ['74-41=33', '22+98=120'] Exploring Operation: 120-33=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 72, 63, 7, 7 ]
63
[ "72*7=504", "63*7=441", "504-441=63" ]
Current State: 63:[72, 63, 7, 7], Operations: [] Exploring Operation: 72*7=504, Resulting Numbers: [63, 504] Generated Node #2: [63, 504] from Operation: 72*7=504 Current State: 63:[63, 504], Operations: ['72*7=504'] Exploring Operation: 63*7=441, Resulting Numbers: [504, 441] Generated Node #3: [504, 441] from Operation: 63*7=441 Current State: 63:[504, 441], Operations: ['72*7=504', '63*7=441'] Exploring Operation: 504-441=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 9, 29, 40, 8 ]
69
[ "9-8=1", "29+40=69", "1*69=69" ]
Current State: 69:[9, 29, 40, 8], Operations: [] Exploring Operation: 9-8=1, Resulting Numbers: [29, 40, 1] Generated Node #2: [29, 40, 1] from Operation: 9-8=1 Current State: 69:[29, 40, 1], Operations: ['9-8=1'] Exploring Operation: 29+40=69, Resulting Numbers: [1, 69] Generated Node #3: [1, 69] from Operation: 29+40=69 Current State: 69:[1, 69], Operations: ['9-8=1', '29+40=69'] Exploring Operation: 1*69=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 89, 64, 58, 61 ]
22
[ "89-64=25", "61-58=3", "25-3=22" ]
Current State: 22:[89, 64, 58, 61], Operations: [] Exploring Operation: 89-64=25, Resulting Numbers: [58, 61, 25] Generated Node #2: [58, 61, 25] from Operation: 89-64=25 Current State: 22:[58, 61, 25], Operations: ['89-64=25'] Exploring Operation: 61-58=3, Resulting Numbers: [25, 3] Generated Node #3: [25, 3] from Operation: 61-58=3 Current State: 22:[25, 3], Operations: ['89-64=25', '61-58=3'] Exploring Operation: 25-3=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 19, 23, 7, 80 ]
91
[ "23-19=4", "7+80=87", "4+87=91" ]
Current State: 91:[19, 23, 7, 80], Operations: [] Exploring Operation: 23-19=4, Resulting Numbers: [7, 80, 4] Generated Node #2: [7, 80, 4] from Operation: 23-19=4 Current State: 91:[7, 80, 4], Operations: ['23-19=4'] Exploring Operation: 7+80=87, Resulting Numbers: [4, 87] Generated Node #3: [4, 87] from Operation: 7+80=87 Current State: 91:[4, 87], Operations: ['23-19=4', '7+80=87'] Exploring Operation: 4+87=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 32, 42, 56, 16 ]
73
[ "42*56=2352", "2352-16=2336", "2336/32=73" ]
Current State: 73:[32, 42, 56, 16], Operations: [] Exploring Operation: 42*56=2352, Resulting Numbers: [32, 16, 2352] Generated Node #2: [32, 16, 2352] from Operation: 42*56=2352 Current State: 73:[32, 16, 2352], Operations: ['42*56=2352'] Exploring Operation: 2352-16=2336, Resulting Numbers: [32, 2336] Generated Node #3: [32, 2336] from Operation: 2352-16=2336 Current State: 73:[32, 2336], Operations: ['42*56=2352', '2352-16=2336'] Exploring Operation: 2336/32=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 18, 8, 98, 72 ]
26
[ "18*8=144", "98+72=170", "170-144=26" ]
Current State: 26:[18, 8, 98, 72], Operations: [] Exploring Operation: 18*8=144, Resulting Numbers: [98, 72, 144] Generated Node #2: [98, 72, 144] from Operation: 18*8=144 Current State: 26:[98, 72, 144], Operations: ['18*8=144'] Exploring Operation: 98+72=170, Resulting Numbers: [144, 170] Generated Node #3: [144, 170] from Operation: 98+72=170 Current State: 26:[144, 170], Operations: ['18*8=144', '98+72=170'] Exploring Operation: 170-144=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 42, 32, 16, 39 ]
96
[ "42*16=672", "39-32=7", "672/7=96" ]
Current State: 96:[42, 32, 16, 39], Operations: [] Exploring Operation: 42*16=672, Resulting Numbers: [32, 39, 672] Generated Node #2: [32, 39, 672] from Operation: 42*16=672 Current State: 96:[32, 39, 672], Operations: ['42*16=672'] Exploring Operation: 39-32=7, Resulting Numbers: [672, 7] Generated Node #3: [672, 7] from Operation: 39-32=7 Current State: 96:[672, 7], Operations: ['42*16=672', '39-32=7'] Exploring Operation: 672/7=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 47, 97, 9, 27 ]
99
[ "47+97=144", "9*27=243", "243-144=99" ]
Current State: 99:[47, 97, 9, 27], Operations: [] Exploring Operation: 47+97=144, Resulting Numbers: [9, 27, 144] Generated Node #2: [9, 27, 144] from Operation: 47+97=144 Current State: 99:[9, 27, 144], Operations: ['47+97=144'] Exploring Operation: 9*27=243, Resulting Numbers: [144, 243] Generated Node #3: [144, 243] from Operation: 9*27=243 Current State: 99:[144, 243], Operations: ['47+97=144', '9*27=243'] Exploring Operation: 243-144=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 39, 6, 74, 29 ]
12
[ "39-6=33", "74-29=45", "45-33=12" ]
Current State: 12:[39, 6, 74, 29], Operations: [] Exploring Operation: 39-6=33, Resulting Numbers: [74, 29, 33] Generated Node #2: [74, 29, 33] from Operation: 39-6=33 Current State: 12:[74, 29, 33], Operations: ['39-6=33'] Exploring Operation: 74-29=45, Resulting Numbers: [33, 45] Generated Node #3: [33, 45] from Operation: 74-29=45 Current State: 12:[33, 45], Operations: ['39-6=33', '74-29=45'] Exploring Operation: 45-33=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 29, 21, 98, 7 ]
20
[ "29+98=127", "21*7=147", "147-127=20" ]
Current State: 20:[29, 21, 98, 7], Operations: [] Exploring Operation: 29+98=127, Resulting Numbers: [21, 7, 127] Generated Node #2: [21, 7, 127] from Operation: 29+98=127 Current State: 20:[21, 7, 127], Operations: ['29+98=127'] Exploring Operation: 21*7=147, Resulting Numbers: [127, 147] Generated Node #3: [127, 147] from Operation: 21*7=147 Current State: 20:[127, 147], Operations: ['29+98=127', '21*7=147'] Exploring Operation: 147-127=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 24, 16, 18, 8 ]
19
[ "24-16=8", "8/8=1", "18+1=19" ]
Current State: 19:[24, 16, 18, 8], Operations: [] Exploring Operation: 24-16=8, Resulting Numbers: [18, 8, 8] Generated Node #2: [18, 8, 8] from Operation: 24-16=8 Current State: 19:[18, 8, 8], Operations: ['24-16=8'] Exploring Operation: 8/8=1, Resulting Numbers: [18, 1] Generated Node #3: [18, 1] from Operation: 8/8=1 Current State: 19:[18, 1], Operations: ['24-16=8', '8/8=1'] Exploring Operation: 18+1=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 11, 68, 81, 94 ]
22
[ "68+94=162", "11*162=1782", "1782/81=22" ]
Current State: 22:[11, 68, 81, 94], Operations: [] Exploring Operation: 68+94=162, Resulting Numbers: [11, 81, 162] Generated Node #2: [11, 81, 162] from Operation: 68+94=162 Current State: 22:[11, 81, 162], Operations: ['68+94=162'] Exploring Operation: 11*162=1782, Resulting Numbers: [81, 1782] Generated Node #3: [81, 1782] from Operation: 11*162=1782 Current State: 22:[81, 1782], Operations: ['68+94=162', '11*162=1782'] Exploring Operation: 1782/81=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 46, 55, 92, 87 ]
16
[ "92/46=2", "87-55=32", "32/2=16" ]
Current State: 16:[46, 55, 92, 87], Operations: [] Exploring Operation: 92/46=2, Resulting Numbers: [55, 87, 2] Generated Node #2: [55, 87, 2] from Operation: 92/46=2 Current State: 16:[55, 87, 2], Operations: ['92/46=2'] Exploring Operation: 87-55=32, Resulting Numbers: [2, 32] Generated Node #3: [2, 32] from Operation: 87-55=32 Current State: 16:[2, 32], Operations: ['92/46=2', '87-55=32'] Exploring Operation: 32/2=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 10, 7, 96, 66 ]
54
[ "10-7=3", "96+66=162", "162/3=54" ]
Current State: 54:[10, 7, 96, 66], Operations: [] Exploring Operation: 10-7=3, Resulting Numbers: [96, 66, 3] Generated Node #2: [96, 66, 3] from Operation: 10-7=3 Current State: 54:[96, 66, 3], Operations: ['10-7=3'] Exploring Operation: 96+66=162, Resulting Numbers: [3, 162] Generated Node #3: [3, 162] from Operation: 96+66=162 Current State: 54:[3, 162], Operations: ['10-7=3', '96+66=162'] Exploring Operation: 162/3=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 10, 57, 8, 84 ]
61
[ "10*8=80", "57+84=141", "141-80=61" ]
Current State: 61:[10, 57, 8, 84], Operations: [] Exploring Operation: 10*8=80, Resulting Numbers: [57, 84, 80] Generated Node #2: [57, 84, 80] from Operation: 10*8=80 Current State: 61:[57, 84, 80], Operations: ['10*8=80'] Exploring Operation: 57+84=141, Resulting Numbers: [80, 141] Generated Node #3: [80, 141] from Operation: 57+84=141 Current State: 61:[80, 141], Operations: ['10*8=80', '57+84=141'] Exploring Operation: 141-80=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 49, 39, 72, 68 ]
22
[ "49+39=88", "72-68=4", "88/4=22" ]
Current State: 22:[49, 39, 72, 68], Operations: [] Exploring Operation: 49+39=88, Resulting Numbers: [72, 68, 88] Generated Node #2: [72, 68, 88] from Operation: 49+39=88 Current State: 22:[72, 68, 88], Operations: ['49+39=88'] Exploring Operation: 72-68=4, Resulting Numbers: [88, 4] Generated Node #3: [88, 4] from Operation: 72-68=4 Current State: 22:[88, 4], Operations: ['49+39=88', '72-68=4'] Exploring Operation: 88/4=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 79, 40, 81, 41 ]
27
[ "79+41=120", "40*81=3240", "3240/120=27" ]
Current State: 27:[79, 40, 81, 41], Operations: [] Exploring Operation: 79+41=120, Resulting Numbers: [40, 81, 120] Generated Node #2: [40, 81, 120] from Operation: 79+41=120 Current State: 27:[40, 81, 120], Operations: ['79+41=120'] Exploring Operation: 40*81=3240, Resulting Numbers: [120, 3240] Generated Node #3: [120, 3240] from Operation: 40*81=3240 Current State: 27:[120, 3240], Operations: ['79+41=120', '40*81=3240'] Exploring Operation: 3240/120=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 44, 15, 71, 29 ]
13
[ "44-15=29", "71-29=42", "42-29=13" ]
Current State: 13:[44, 15, 71, 29], Operations: [] Exploring Operation: 44-15=29, Resulting Numbers: [71, 29, 29] Generated Node #2: [71, 29, 29] from Operation: 44-15=29 Current State: 13:[71, 29, 29], Operations: ['44-15=29'] Exploring Operation: 71-29=42, Resulting Numbers: [42] 42,13 equal: Goal Reached Exploring Operation: 42-29=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 7, 10, 28, 52 ]
94
[ "7*10=70", "52-28=24", "70+24=94" ]
Current State: 94:[7, 10, 28, 52], Operations: [] Exploring Operation: 7*10=70, Resulting Numbers: [28, 52, 70] Generated Node #2: [28, 52, 70] from Operation: 7*10=70 Current State: 94:[28, 52, 70], Operations: ['7*10=70'] Exploring Operation: 52-28=24, Resulting Numbers: [70, 24] Generated Node #3: [70, 24] from Operation: 52-28=24 Current State: 94:[70, 24], Operations: ['7*10=70', '52-28=24'] Exploring Operation: 70+24=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 77, 76, 54, 52 ]
47
[ "77+76=153", "54+52=106", "153-106=47" ]
Current State: 47:[77, 76, 54, 52], Operations: [] Exploring Operation: 77+76=153, Resulting Numbers: [54, 52, 153] Generated Node #2: [54, 52, 153] from Operation: 77+76=153 Current State: 47:[54, 52, 153], Operations: ['77+76=153'] Exploring Operation: 54+52=106, Resulting Numbers: [153, 106] Generated Node #3: [153, 106] from Operation: 54+52=106 Current State: 47:[153, 106], Operations: ['77+76=153', '54+52=106'] Exploring Operation: 153-106=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 13, 73, 68, 66 ]
62
[ "73-13=60", "68-66=2", "60+2=62" ]
Current State: 62:[13, 73, 68, 66], Operations: [] Exploring Operation: 73-13=60, Resulting Numbers: [68, 66, 60] Generated Node #2: [68, 66, 60] from Operation: 73-13=60 Current State: 62:[68, 66, 60], Operations: ['73-13=60'] Exploring Operation: 68-66=2, Resulting Numbers: [60, 2] Generated Node #3: [60, 2] from Operation: 68-66=2 Current State: 62:[60, 2], Operations: ['73-13=60', '68-66=2'] Exploring Operation: 60+2=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 87, 84, 68, 87 ]
39
[ "87-84=3", "87/3=29", "68-29=39" ]
Current State: 39:[87, 84, 68, 87], Operations: [] Exploring Operation: 87-84=3, Resulting Numbers: [68, 3] Generated Node #2: [68, 3] from Operation: 87-84=3 Current State: 39:[68, 3], Operations: ['87-84=3'] Exploring Operation: 87/3=29, Resulting Numbers: [68, 29] Generated Node #3: [68, 29] from Operation: 87/3=29 Current State: 39:[68, 29], Operations: ['87-84=3', '87/3=29'] Exploring Operation: 68-29=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 20, 16, 38, 17 ]
91
[ "20+16=36", "38+17=55", "36+55=91" ]
Current State: 91:[20, 16, 38, 17], Operations: [] Exploring Operation: 20+16=36, Resulting Numbers: [38, 17, 36] Generated Node #2: [38, 17, 36] from Operation: 20+16=36 Current State: 91:[38, 17, 36], Operations: ['20+16=36'] Exploring Operation: 38+17=55, Resulting Numbers: [36, 55] Generated Node #3: [36, 55] from Operation: 38+17=55 Current State: 91:[36, 55], Operations: ['20+16=36', '38+17=55'] Exploring Operation: 36+55=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 50, 91, 13, 8 ]
46
[ "91-50=41", "13-8=5", "41+5=46" ]
Current State: 46:[50, 91, 13, 8], Operations: [] Exploring Operation: 91-50=41, Resulting Numbers: [13, 8, 41] Generated Node #2: [13, 8, 41] from Operation: 91-50=41 Current State: 46:[13, 8, 41], Operations: ['91-50=41'] Exploring Operation: 13-8=5, Resulting Numbers: [41, 5] Generated Node #3: [41, 5] from Operation: 13-8=5 Current State: 46:[41, 5], Operations: ['91-50=41', '13-8=5'] Exploring Operation: 41+5=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 13, 35, 28, 72 ]
77
[ "35*72=2520", "2520/28=90", "90-13=77" ]
Current State: 77:[13, 35, 28, 72], Operations: [] Exploring Operation: 35*72=2520, Resulting Numbers: [13, 28, 2520] Generated Node #2: [13, 28, 2520] from Operation: 35*72=2520 Current State: 77:[13, 28, 2520], Operations: ['35*72=2520'] Exploring Operation: 2520/28=90, Resulting Numbers: [13, 90] Generated Node #3: [13, 90] from Operation: 2520/28=90 Current State: 77:[13, 90], Operations: ['35*72=2520', '2520/28=90'] Exploring Operation: 90-13=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 56, 17, 25, 20 ]
87
[ "56*25=1400", "1400/20=70", "17+70=87" ]
Current State: 87:[56, 17, 25, 20], Operations: [] Exploring Operation: 56*25=1400, Resulting Numbers: [17, 20, 1400] Generated Node #2: [17, 20, 1400] from Operation: 56*25=1400 Current State: 87:[17, 20, 1400], Operations: ['56*25=1400'] Exploring Operation: 1400/20=70, Resulting Numbers: [17, 70] Generated Node #3: [17, 70] from Operation: 1400/20=70 Current State: 87:[17, 70], Operations: ['56*25=1400', '1400/20=70'] Exploring Operation: 17+70=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 49, 45, 19, 88 ]
25
[ "49+45=94", "88-19=69", "94-69=25" ]
Current State: 25:[49, 45, 19, 88], Operations: [] Exploring Operation: 49+45=94, Resulting Numbers: [19, 88, 94] Generated Node #2: [19, 88, 94] from Operation: 49+45=94 Current State: 25:[19, 88, 94], Operations: ['49+45=94'] Exploring Operation: 88-19=69, Resulting Numbers: [94, 69] Generated Node #3: [94, 69] from Operation: 88-19=69 Current State: 25:[94, 69], Operations: ['49+45=94', '88-19=69'] Exploring Operation: 94-69=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 63, 43, 25, 26 ]
11
[ "25*26=650", "43+650=693", "693/63=11" ]
Current State: 11:[63, 43, 25, 26], Operations: [] Exploring Operation: 25*26=650, Resulting Numbers: [63, 43, 650] Generated Node #2: [63, 43, 650] from Operation: 25*26=650 Current State: 11:[63, 43, 650], Operations: ['25*26=650'] Exploring Operation: 43+650=693, Resulting Numbers: [63, 693] Generated Node #3: [63, 693] from Operation: 43+650=693 Current State: 11:[63, 693], Operations: ['25*26=650', '43+650=693'] Exploring Operation: 693/63=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 1, 7, 70, 35 ]
14
[ "1*7=7", "70/35=2", "7*2=14" ]
Current State: 14:[1, 7, 70, 35], Operations: [] Exploring Operation: 1*7=7, Resulting Numbers: [70, 35, 7] Generated Node #2: [70, 35, 7] from Operation: 1*7=7 Current State: 14:[70, 35, 7], Operations: ['1*7=7'] Exploring Operation: 70/35=2, Resulting Numbers: [7, 2] Generated Node #3: [7, 2] from Operation: 70/35=2 Current State: 14:[7, 2], Operations: ['1*7=7', '70/35=2'] Exploring Operation: 7*2=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 27, 63, 15, 95 ]
20
[ "27+63=90", "15+95=110", "110-90=20" ]
Current State: 20:[27, 63, 15, 95], Operations: [] Exploring Operation: 27+63=90, Resulting Numbers: [15, 95, 90] Generated Node #2: [15, 95, 90] from Operation: 27+63=90 Current State: 20:[15, 95, 90], Operations: ['27+63=90'] Exploring Operation: 15+95=110, Resulting Numbers: [90, 110] Generated Node #3: [90, 110] from Operation: 15+95=110 Current State: 20:[90, 110], Operations: ['27+63=90', '15+95=110'] Exploring Operation: 110-90=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 31, 35, 38, 36 ]
68
[ "31+35=66", "38-36=2", "66+2=68" ]
Current State: 68:[31, 35, 38, 36], Operations: [] Exploring Operation: 31+35=66, Resulting Numbers: [38, 36, 66] Generated Node #2: [38, 36, 66] from Operation: 31+35=66 Current State: 68:[38, 36, 66], Operations: ['31+35=66'] Exploring Operation: 38-36=2, Resulting Numbers: [66, 2] Generated Node #3: [66, 2] from Operation: 38-36=2 Current State: 68:[66, 2], Operations: ['31+35=66', '38-36=2'] Exploring Operation: 66+2=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 3, 21, 4, 45 ]
56
[ "21/3=7", "4+45=49", "7+49=56" ]
Current State: 56:[3, 21, 4, 45], Operations: [] Exploring Operation: 21/3=7, Resulting Numbers: [4, 45, 7] Generated Node #2: [4, 45, 7] from Operation: 21/3=7 Current State: 56:[4, 45, 7], Operations: ['21/3=7'] Exploring Operation: 4+45=49, Resulting Numbers: [7, 49] Generated Node #3: [7, 49] from Operation: 4+45=49 Current State: 56:[7, 49], Operations: ['21/3=7', '4+45=49'] Exploring Operation: 7+49=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 78, 39, 51, 27 ]
76
[ "78/39=2", "51+27=78", "78-2=76" ]
Current State: 76:[78, 39, 51, 27], Operations: [] Exploring Operation: 78/39=2, Resulting Numbers: [51, 27, 2] Generated Node #2: [51, 27, 2] from Operation: 78/39=2 Current State: 76:[51, 27, 2], Operations: ['78/39=2'] Exploring Operation: 51+27=78, Resulting Numbers: [2, 78] Generated Node #3: [2, 78] from Operation: 51+27=78 Current State: 76:[2, 78], Operations: ['78/39=2', '51+27=78'] Exploring Operation: 78-2=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 40, 38, 40, 34 ]
71
[ "40/40=1", "38+34=72", "72-1=71" ]
Current State: 71:[40, 38, 40, 34], Operations: [] Exploring Operation: 40/40=1, Resulting Numbers: [38, 34, 1] Generated Node #2: [38, 34, 1] from Operation: 40/40=1 Current State: 71:[38, 34, 1], Operations: ['40/40=1'] Exploring Operation: 38+34=72, Resulting Numbers: [1, 72] Generated Node #3: [1, 72] from Operation: 38+34=72 Current State: 71:[1, 72], Operations: ['40/40=1', '38+34=72'] Exploring Operation: 72-1=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 71, 79, 21, 71 ]
58
[ "71+79=150", "21+71=92", "150-92=58" ]
Current State: 58:[71, 79, 21, 71], Operations: [] Exploring Operation: 71+79=150, Resulting Numbers: [21, 150] Generated Node #2: [21, 150] from Operation: 71+79=150 Current State: 58:[21, 150], Operations: ['71+79=150'] Exploring Operation: 21+71=92, Resulting Numbers: [150, 92] Generated Node #3: [150, 92] from Operation: 21+71=92 Current State: 58:[150, 92], Operations: ['71+79=150', '21+71=92'] Exploring Operation: 150-92=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 88, 27, 31, 4 ]
87
[ "31-27=4", "4/4=1", "88-1=87" ]
Current State: 87:[88, 27, 31, 4], Operations: [] Exploring Operation: 31-27=4, Resulting Numbers: [88, 4, 4] Generated Node #2: [88, 4, 4] from Operation: 31-27=4 Current State: 87:[88, 4, 4], Operations: ['31-27=4'] Exploring Operation: 4/4=1, Resulting Numbers: [88, 1] Generated Node #3: [88, 1] from Operation: 4/4=1 Current State: 87:[88, 1], Operations: ['31-27=4', '4/4=1'] Exploring Operation: 88-1=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 96, 88, 81, 21 ]
24
[ "88*21=1848", "96+1848=1944", "1944/81=24" ]
Current State: 24:[96, 88, 81, 21], Operations: [] Exploring Operation: 88*21=1848, Resulting Numbers: [96, 81, 1848] Generated Node #2: [96, 81, 1848] from Operation: 88*21=1848 Current State: 24:[96, 81, 1848], Operations: ['88*21=1848'] Exploring Operation: 96+1848=1944, Resulting Numbers: [81, 1944] Generated Node #3: [81, 1944] from Operation: 96+1848=1944 Current State: 24:[81, 1944], Operations: ['88*21=1848', '96+1848=1944'] Exploring Operation: 1944/81=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 19, 8, 43, 17 ]
71
[ "19-8=11", "43+17=60", "11+60=71" ]
Current State: 71:[19, 8, 43, 17], Operations: [] Exploring Operation: 19-8=11, Resulting Numbers: [43, 17, 11] Generated Node #2: [43, 17, 11] from Operation: 19-8=11 Current State: 71:[43, 17, 11], Operations: ['19-8=11'] Exploring Operation: 43+17=60, Resulting Numbers: [11, 60] Generated Node #3: [11, 60] from Operation: 43+17=60 Current State: 71:[11, 60], Operations: ['19-8=11', '43+17=60'] Exploring Operation: 11+60=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 63, 21, 77, 46 ]
28
[ "63/21=3", "77-46=31", "31-3=28" ]
Current State: 28:[63, 21, 77, 46], Operations: [] Exploring Operation: 63/21=3, Resulting Numbers: [77, 46, 3] Generated Node #2: [77, 46, 3] from Operation: 63/21=3 Current State: 28:[77, 46, 3], Operations: ['63/21=3'] Exploring Operation: 77-46=31, Resulting Numbers: [3, 31] Generated Node #3: [3, 31] from Operation: 77-46=31 Current State: 28:[3, 31], Operations: ['63/21=3', '77-46=31'] Exploring Operation: 31-3=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 27, 9, 35, 46 ]
54
[ "9+35=44", "46-44=2", "27*2=54" ]
Current State: 54:[27, 9, 35, 46], Operations: [] Exploring Operation: 9+35=44, Resulting Numbers: [27, 46, 44] Generated Node #2: [27, 46, 44] from Operation: 9+35=44 Current State: 54:[27, 46, 44], Operations: ['9+35=44'] Exploring Operation: 46-44=2, Resulting Numbers: [27, 2] Generated Node #3: [27, 2] from Operation: 46-44=2 Current State: 54:[27, 2], Operations: ['9+35=44', '46-44=2'] Exploring Operation: 27*2=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 15, 51, 68, 63 ]
69
[ "68*63=4284", "4284/51=84", "84-15=69" ]
Current State: 69:[15, 51, 68, 63], Operations: [] Exploring Operation: 68*63=4284, Resulting Numbers: [15, 51, 4284] Generated Node #2: [15, 51, 4284] from Operation: 68*63=4284 Current State: 69:[15, 51, 4284], Operations: ['68*63=4284'] Exploring Operation: 4284/51=84, Resulting Numbers: [15, 84] Generated Node #3: [15, 84] from Operation: 4284/51=84 Current State: 69:[15, 84], Operations: ['68*63=4284', '4284/51=84'] Exploring Operation: 84-15=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4