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
[ 69, 45, 33, 72 ]
81
[ "69-45=24", "33+72=105", "105-24=81" ]
Current State: 81:[69, 45, 33, 72], Operations: [] Exploring Operation: 69-45=24, Resulting Numbers: [33, 72, 24] Generated Node #2: [33, 72, 24] from Operation: 69-45=24 Current State: 81:[33, 72, 24], Operations: ['69-45=24'] Exploring Operation: 33+72=105, Resulting Numbers: [24, 105] Generated Node #3: [24, 105] from Operation: 33+72=105 Current State: 81:[24, 105], Operations: ['69-45=24', '33+72=105'] Exploring Operation: 105-24=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 81, 27, 58, 71 ]
21
[ "81+27=108", "58+71=129", "129-108=21" ]
Current State: 21:[81, 27, 58, 71], Operations: [] Exploring Operation: 81+27=108, Resulting Numbers: [58, 71, 108] Generated Node #2: [58, 71, 108] from Operation: 81+27=108 Current State: 21:[58, 71, 108], Operations: ['81+27=108'] Exploring Operation: 58+71=129, Resulting Numbers: [108, 129] Generated Node #3: [108, 129] from Operation: 58+71=129 Current State: 21:[108, 129], Operations: ['81+27=108', '58+71=129'] Exploring Operation: 129-108=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 7, 84, 3, 25 ]
87
[ "84/7=12", "3*25=75", "12+75=87" ]
Current State: 87:[7, 84, 3, 25], Operations: [] Exploring Operation: 84/7=12, Resulting Numbers: [3, 25, 12] Generated Node #2: [3, 25, 12] from Operation: 84/7=12 Current State: 87:[3, 25, 12], Operations: ['84/7=12'] Exploring Operation: 3*25=75, Resulting Numbers: [12, 75] Generated Node #3: [12, 75] from Operation: 3*25=75 Current State: 87:[12, 75], Operations: ['84/7=12', '3*25=75'] Exploring Operation: 12+75=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 5, 4, 77, 20 ]
37
[ "5*4=20", "77-20=57", "57-20=37" ]
Current State: 37:[5, 4, 77, 20], Operations: [] Exploring Operation: 5*4=20, Resulting Numbers: [77, 20, 20] Generated Node #2: [77, 20, 20] from Operation: 5*4=20 Current State: 37:[77, 20, 20], Operations: ['5*4=20'] Exploring Operation: 77-20=57, Resulting Numbers: [57] 57,37 equal: Goal Reached Exploring Operation: 57-20=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 99, 17, 95, 80 ]
67
[ "99-17=82", "95-80=15", "82-15=67" ]
Current State: 67:[99, 17, 95, 80], Operations: [] Exploring Operation: 99-17=82, Resulting Numbers: [95, 80, 82] Generated Node #2: [95, 80, 82] from Operation: 99-17=82 Current State: 67:[95, 80, 82], Operations: ['99-17=82'] Exploring Operation: 95-80=15, Resulting Numbers: [82, 15] Generated Node #3: [82, 15] from Operation: 95-80=15 Current State: 67:[82, 15], Operations: ['99-17=82', '95-80=15'] Exploring Operation: 82-15=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 15, 11, 69, 66 ]
23
[ "15+11=26", "69-66=3", "26-3=23" ]
Current State: 23:[15, 11, 69, 66], Operations: [] Exploring Operation: 15+11=26, Resulting Numbers: [69, 66, 26] Generated Node #2: [69, 66, 26] from Operation: 15+11=26 Current State: 23:[69, 66, 26], Operations: ['15+11=26'] Exploring Operation: 69-66=3, Resulting Numbers: [26, 3] Generated Node #3: [26, 3] from Operation: 69-66=3 Current State: 23:[26, 3], Operations: ['15+11=26', '69-66=3'] Exploring Operation: 26-3=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 78, 46, 1, 3 ]
71
[ "78/3=26", "46-1=45", "26+45=71" ]
Current State: 71:[78, 46, 1, 3], Operations: [] Exploring Operation: 78/3=26, Resulting Numbers: [46, 1, 26] Generated Node #2: [46, 1, 26] from Operation: 78/3=26 Current State: 71:[46, 1, 26], Operations: ['78/3=26'] Exploring Operation: 46-1=45, Resulting Numbers: [26, 45] Generated Node #3: [26, 45] from Operation: 46-1=45 Current State: 71:[26, 45], Operations: ['78/3=26', '46-1=45'] Exploring Operation: 26+45=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 32, 27, 16, 28 ]
41
[ "32/16=2", "28/2=14", "27+14=41" ]
Current State: 41:[32, 27, 16, 28], Operations: [] Exploring Operation: 32/16=2, Resulting Numbers: [27, 28, 2] Generated Node #2: [27, 28, 2] from Operation: 32/16=2 Current State: 41:[27, 28, 2], Operations: ['32/16=2'] Exploring Operation: 28/2=14, Resulting Numbers: [27, 14] Generated Node #3: [27, 14] from Operation: 28/2=14 Current State: 41:[27, 14], Operations: ['32/16=2', '28/2=14'] Exploring Operation: 27+14=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 48, 8, 10, 35 ]
24
[ "48-10=38", "38-35=3", "8*3=24" ]
Current State: 24:[48, 8, 10, 35], Operations: [] Exploring Operation: 48-10=38, Resulting Numbers: [8, 35, 38] Generated Node #2: [8, 35, 38] from Operation: 48-10=38 Current State: 24:[8, 35, 38], Operations: ['48-10=38'] Exploring Operation: 38-35=3, Resulting Numbers: [8, 3] Generated Node #3: [8, 3] from Operation: 38-35=3 Current State: 24:[8, 3], Operations: ['48-10=38', '38-35=3'] Exploring Operation: 8*3=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 7, 57, 20, 71 ]
12
[ "7*20=140", "57+71=128", "140-128=12" ]
Current State: 12:[7, 57, 20, 71], Operations: [] Exploring Operation: 7*20=140, Resulting Numbers: [57, 71, 140] Generated Node #2: [57, 71, 140] from Operation: 7*20=140 Current State: 12:[57, 71, 140], Operations: ['7*20=140'] Exploring Operation: 57+71=128, Resulting Numbers: [140, 128] Generated Node #3: [140, 128] from Operation: 57+71=128 Current State: 12:[140, 128], Operations: ['7*20=140', '57+71=128'] Exploring Operation: 140-128=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 4, 2, 48, 42 ]
58
[ "42-4=38", "2*48=96", "96-38=58" ]
Current State: 58:[4, 2, 48, 42], Operations: [] Exploring Operation: 42-4=38, Resulting Numbers: [2, 48, 38] Generated Node #2: [2, 48, 38] from Operation: 42-4=38 Current State: 58:[2, 48, 38], Operations: ['42-4=38'] Exploring Operation: 2*48=96, Resulting Numbers: [38, 96] Generated Node #3: [38, 96] from Operation: 2*48=96 Current State: 58:[38, 96], Operations: ['42-4=38', '2*48=96'] Exploring Operation: 96-38=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 53, 94, 8, 11 ]
38
[ "94-53=41", "11-8=3", "41-3=38" ]
Current State: 38:[53, 94, 8, 11], Operations: [] Exploring Operation: 94-53=41, Resulting Numbers: [8, 11, 41] Generated Node #2: [8, 11, 41] from Operation: 94-53=41 Current State: 38:[8, 11, 41], Operations: ['94-53=41'] Exploring Operation: 11-8=3, Resulting Numbers: [41, 3] Generated Node #3: [41, 3] from Operation: 11-8=3 Current State: 38:[41, 3], Operations: ['94-53=41', '11-8=3'] Exploring Operation: 41-3=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 66, 81, 2, 92 ]
75
[ "81-66=15", "92-2=90", "90-15=75" ]
Current State: 75:[66, 81, 2, 92], Operations: [] Exploring Operation: 81-66=15, Resulting Numbers: [2, 92, 15] Generated Node #2: [2, 92, 15] from Operation: 81-66=15 Current State: 75:[2, 92, 15], Operations: ['81-66=15'] Exploring Operation: 92-2=90, Resulting Numbers: [15, 90] Generated Node #3: [15, 90] from Operation: 92-2=90 Current State: 75:[15, 90], Operations: ['81-66=15', '92-2=90'] Exploring Operation: 90-15=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 54, 16, 52, 73 ]
49
[ "54+16=70", "73-52=21", "70-21=49" ]
Current State: 49:[54, 16, 52, 73], Operations: [] Exploring Operation: 54+16=70, Resulting Numbers: [52, 73, 70] Generated Node #2: [52, 73, 70] from Operation: 54+16=70 Current State: 49:[52, 73, 70], Operations: ['54+16=70'] Exploring Operation: 73-52=21, Resulting Numbers: [70, 21] Generated Node #3: [70, 21] from Operation: 73-52=21 Current State: 49:[70, 21], Operations: ['54+16=70', '73-52=21'] Exploring Operation: 70-21=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 45, 94, 64, 20 ]
35
[ "94-45=49", "64+20=84", "84-49=35" ]
Current State: 35:[45, 94, 64, 20], Operations: [] Exploring Operation: 94-45=49, Resulting Numbers: [64, 20, 49] Generated Node #2: [64, 20, 49] from Operation: 94-45=49 Current State: 35:[64, 20, 49], Operations: ['94-45=49'] Exploring Operation: 64+20=84, Resulting Numbers: [49, 84] Generated Node #3: [49, 84] from Operation: 64+20=84 Current State: 35:[49, 84], Operations: ['94-45=49', '64+20=84'] Exploring Operation: 84-49=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 96, 8, 80, 13 ]
10
[ "96+8=104", "80*13=1040", "1040/104=10" ]
Current State: 10:[96, 8, 80, 13], Operations: [] Exploring Operation: 96+8=104, Resulting Numbers: [80, 13, 104] Generated Node #2: [80, 13, 104] from Operation: 96+8=104 Current State: 10:[80, 13, 104], Operations: ['96+8=104'] Exploring Operation: 80*13=1040, Resulting Numbers: [104, 1040] Generated Node #3: [104, 1040] from Operation: 80*13=1040 Current State: 10:[104, 1040], Operations: ['96+8=104', '80*13=1040'] Exploring Operation: 1040/104=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 26, 12, 88, 87 ]
14
[ "26-12=14", "88-87=1", "14*1=14" ]
Current State: 14:[26, 12, 88, 87], Operations: [] Exploring Operation: 26-12=14, Resulting Numbers: [88, 87, 14] Generated Node #2: [88, 87, 14] from Operation: 26-12=14 Current State: 14:[88, 87, 14], Operations: ['26-12=14'] Exploring Operation: 88-87=1, Resulting Numbers: [14, 1] Generated Node #3: [14, 1] from Operation: 88-87=1 Current State: 14:[14, 1], Operations: ['26-12=14', '88-87=1'] Exploring Operation: 14*1=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 66, 37, 2, 70 ]
25
[ "66*2=132", "37+70=107", "132-107=25" ]
Current State: 25:[66, 37, 2, 70], Operations: [] Exploring Operation: 66*2=132, Resulting Numbers: [37, 70, 132] Generated Node #2: [37, 70, 132] from Operation: 66*2=132 Current State: 25:[37, 70, 132], Operations: ['66*2=132'] Exploring Operation: 37+70=107, Resulting Numbers: [132, 107] Generated Node #3: [132, 107] from Operation: 37+70=107 Current State: 25:[132, 107], Operations: ['66*2=132', '37+70=107'] Exploring Operation: 132-107=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 61, 18, 65, 9 ]
12
[ "61-18=43", "65+43=108", "108/9=12" ]
Current State: 12:[61, 18, 65, 9], Operations: [] Exploring Operation: 61-18=43, Resulting Numbers: [65, 9, 43] Generated Node #2: [65, 9, 43] from Operation: 61-18=43 Current State: 12:[65, 9, 43], Operations: ['61-18=43'] Exploring Operation: 65+43=108, Resulting Numbers: [9, 108] Generated Node #3: [9, 108] from Operation: 65+43=108 Current State: 12:[9, 108], Operations: ['61-18=43', '65+43=108'] Exploring Operation: 108/9=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 83, 5, 69, 9 ]
56
[ "83-69=14", "9-5=4", "14*4=56" ]
Current State: 56:[83, 5, 69, 9], Operations: [] Exploring Operation: 83-69=14, Resulting Numbers: [5, 9, 14] Generated Node #2: [5, 9, 14] from Operation: 83-69=14 Current State: 56:[5, 9, 14], Operations: ['83-69=14'] Exploring Operation: 9-5=4, Resulting Numbers: [14, 4] Generated Node #3: [14, 4] from Operation: 9-5=4 Current State: 56:[14, 4], Operations: ['83-69=14', '9-5=4'] Exploring Operation: 14*4=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 32, 30, 22, 37 ]
61
[ "32-30=2", "22+37=59", "2+59=61" ]
Current State: 61:[32, 30, 22, 37], Operations: [] Exploring Operation: 32-30=2, Resulting Numbers: [22, 37, 2] Generated Node #2: [22, 37, 2] from Operation: 32-30=2 Current State: 61:[22, 37, 2], Operations: ['32-30=2'] Exploring Operation: 22+37=59, Resulting Numbers: [2, 59] Generated Node #3: [2, 59] from Operation: 22+37=59 Current State: 61:[2, 59], Operations: ['32-30=2', '22+37=59'] Exploring Operation: 2+59=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 86, 3, 98, 71 ]
77
[ "98-71=27", "27/3=9", "86-9=77" ]
Current State: 77:[86, 3, 98, 71], Operations: [] Exploring Operation: 98-71=27, Resulting Numbers: [86, 3, 27] Generated Node #2: [86, 3, 27] from Operation: 98-71=27 Current State: 77:[86, 3, 27], Operations: ['98-71=27'] Exploring Operation: 27/3=9, Resulting Numbers: [86, 9] Generated Node #3: [86, 9] from Operation: 27/3=9 Current State: 77:[86, 9], Operations: ['98-71=27', '27/3=9'] Exploring Operation: 86-9=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 6, 93, 90, 10 ]
24
[ "93-90=3", "10*3=30", "30-6=24" ]
Current State: 24:[6, 93, 90, 10], Operations: [] Exploring Operation: 93-90=3, Resulting Numbers: [6, 10, 3] Generated Node #2: [6, 10, 3] from Operation: 93-90=3 Current State: 24:[6, 10, 3], Operations: ['93-90=3'] Exploring Operation: 10*3=30, Resulting Numbers: [6, 30] Generated Node #3: [6, 30] from Operation: 10*3=30 Current State: 24:[6, 30], Operations: ['93-90=3', '10*3=30'] Exploring Operation: 30-6=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 29, 83, 58, 37 ]
92
[ "58/29=2", "83-37=46", "2*46=92" ]
Current State: 92:[29, 83, 58, 37], Operations: [] Exploring Operation: 58/29=2, Resulting Numbers: [83, 37, 2] Generated Node #2: [83, 37, 2] from Operation: 58/29=2 Current State: 92:[83, 37, 2], Operations: ['58/29=2'] Exploring Operation: 83-37=46, Resulting Numbers: [2, 46] Generated Node #3: [2, 46] from Operation: 83-37=46 Current State: 92:[2, 46], Operations: ['58/29=2', '83-37=46'] Exploring Operation: 2*46=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 5, 3, 86, 81 ]
13
[ "5+3=8", "86-81=5", "8+5=13" ]
Current State: 13:[5, 3, 86, 81], Operations: [] Exploring Operation: 5+3=8, Resulting Numbers: [86, 81, 8] Generated Node #2: [86, 81, 8] from Operation: 5+3=8 Current State: 13:[86, 81, 8], Operations: ['5+3=8'] Exploring Operation: 86-81=5, Resulting Numbers: [8, 5] Generated Node #3: [8, 5] from Operation: 86-81=5 Current State: 13:[8, 5], Operations: ['5+3=8', '86-81=5'] Exploring Operation: 8+5=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 20, 14, 93, 96 ]
91
[ "20*14=280", "93+96=189", "280-189=91" ]
Current State: 91:[20, 14, 93, 96], Operations: [] Exploring Operation: 20*14=280, Resulting Numbers: [93, 96, 280] Generated Node #2: [93, 96, 280] from Operation: 20*14=280 Current State: 91:[93, 96, 280], Operations: ['20*14=280'] Exploring Operation: 93+96=189, Resulting Numbers: [280, 189] Generated Node #3: [280, 189] from Operation: 93+96=189 Current State: 91:[280, 189], Operations: ['20*14=280', '93+96=189'] Exploring Operation: 280-189=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 2, 8, 72, 47 ]
89
[ "2*72=144", "8+47=55", "144-55=89" ]
Current State: 89:[2, 8, 72, 47], Operations: [] Exploring Operation: 2*72=144, Resulting Numbers: [8, 47, 144] Generated Node #2: [8, 47, 144] from Operation: 2*72=144 Current State: 89:[8, 47, 144], Operations: ['2*72=144'] Exploring Operation: 8+47=55, Resulting Numbers: [144, 55] Generated Node #3: [144, 55] from Operation: 8+47=55 Current State: 89:[144, 55], Operations: ['2*72=144', '8+47=55'] Exploring Operation: 144-55=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 32, 14, 10, 19 ]
16
[ "32+10=42", "42/14=3", "19-3=16" ]
Current State: 16:[32, 14, 10, 19], Operations: [] Exploring Operation: 32+10=42, Resulting Numbers: [14, 19, 42] Generated Node #2: [14, 19, 42] from Operation: 32+10=42 Current State: 16:[14, 19, 42], Operations: ['32+10=42'] Exploring Operation: 42/14=3, Resulting Numbers: [19, 3] Generated Node #3: [19, 3] from Operation: 42/14=3 Current State: 16:[19, 3], Operations: ['32+10=42', '42/14=3'] Exploring Operation: 19-3=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 87, 29, 61, 59 ]
58
[ "87+29=116", "61-59=2", "116/2=58" ]
Current State: 58:[87, 29, 61, 59], Operations: [] Exploring Operation: 87+29=116, Resulting Numbers: [61, 59, 116] Generated Node #2: [61, 59, 116] from Operation: 87+29=116 Current State: 58:[61, 59, 116], Operations: ['87+29=116'] Exploring Operation: 61-59=2, Resulting Numbers: [116, 2] Generated Node #3: [116, 2] from Operation: 61-59=2 Current State: 58:[116, 2], Operations: ['87+29=116', '61-59=2'] Exploring Operation: 116/2=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 93, 67, 58, 20 ]
52
[ "93-67=26", "58+20=78", "78-26=52" ]
Current State: 52:[93, 67, 58, 20], Operations: [] Exploring Operation: 93-67=26, Resulting Numbers: [58, 20, 26] Generated Node #2: [58, 20, 26] from Operation: 93-67=26 Current State: 52:[58, 20, 26], Operations: ['93-67=26'] Exploring Operation: 58+20=78, Resulting Numbers: [26, 78] Generated Node #3: [26, 78] from Operation: 58+20=78 Current State: 52:[26, 78], Operations: ['93-67=26', '58+20=78'] Exploring Operation: 78-26=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 84, 52, 97, 8 ]
65
[ "97+8=105", "52*105=5460", "5460/84=65" ]
Current State: 65:[84, 52, 97, 8], Operations: [] Exploring Operation: 97+8=105, Resulting Numbers: [84, 52, 105] Generated Node #2: [84, 52, 105] from Operation: 97+8=105 Current State: 65:[84, 52, 105], Operations: ['97+8=105'] Exploring Operation: 52*105=5460, Resulting Numbers: [84, 5460] Generated Node #3: [84, 5460] from Operation: 52*105=5460 Current State: 65:[84, 5460], Operations: ['97+8=105', '52*105=5460'] Exploring Operation: 5460/84=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 99, 3, 4, 11 ]
21
[ "99/11=9", "3*4=12", "9+12=21" ]
Current State: 21:[99, 3, 4, 11], Operations: [] Exploring Operation: 99/11=9, Resulting Numbers: [3, 4, 9] Generated Node #2: [3, 4, 9] from Operation: 99/11=9 Current State: 21:[3, 4, 9], Operations: ['99/11=9'] Exploring Operation: 3*4=12, Resulting Numbers: [9, 12] Generated Node #3: [9, 12] from Operation: 3*4=12 Current State: 21:[9, 12], Operations: ['99/11=9', '3*4=12'] Exploring Operation: 9+12=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 88, 80, 77, 56 ]
14
[ "80*77=6160", "6160/88=70", "70-56=14" ]
Current State: 14:[88, 80, 77, 56], Operations: [] Exploring Operation: 80*77=6160, Resulting Numbers: [88, 56, 6160] Generated Node #2: [88, 56, 6160] from Operation: 80*77=6160 Current State: 14:[88, 56, 6160], Operations: ['80*77=6160'] Exploring Operation: 6160/88=70, Resulting Numbers: [56, 70] Generated Node #3: [56, 70] from Operation: 6160/88=70 Current State: 14:[56, 70], Operations: ['80*77=6160', '6160/88=70'] Exploring Operation: 70-56=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 21, 4, 33, 6 ]
57
[ "21*4=84", "33-6=27", "84-27=57" ]
Current State: 57:[21, 4, 33, 6], Operations: [] Exploring Operation: 21*4=84, Resulting Numbers: [33, 6, 84] Generated Node #2: [33, 6, 84] from Operation: 21*4=84 Current State: 57:[33, 6, 84], Operations: ['21*4=84'] Exploring Operation: 33-6=27, Resulting Numbers: [84, 27] Generated Node #3: [84, 27] from Operation: 33-6=27 Current State: 57:[84, 27], Operations: ['21*4=84', '33-6=27'] Exploring Operation: 84-27=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 5, 57, 48, 52 ]
13
[ "57-5=52", "52-48=4", "52/4=13" ]
Current State: 13:[5, 57, 48, 52], Operations: [] Exploring Operation: 57-5=52, Resulting Numbers: [48, 52, 52] Generated Node #2: [48, 52, 52] from Operation: 57-5=52 Current State: 13:[48, 52, 52], Operations: ['57-5=52'] Exploring Operation: 52-48=4, Resulting Numbers: [4] 4,13 equal: Goal Reached Exploring Operation: 52/4=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 63, 82, 81, 43 ]
19
[ "82-63=19", "81-43=38", "38-19=19" ]
Current State: 19:[63, 82, 81, 43], Operations: [] Exploring Operation: 82-63=19, Resulting Numbers: [81, 43, 19] Generated Node #2: [81, 43, 19] from Operation: 82-63=19 Current State: 19:[81, 43, 19], Operations: ['82-63=19'] Exploring Operation: 81-43=38, Resulting Numbers: [19, 38] Generated Node #3: [19, 38] from Operation: 81-43=38 Current State: 19:[19, 38], Operations: ['82-63=19', '81-43=38'] Exploring Operation: 38-19=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 96, 28, 84, 20 ]
36
[ "96-28=68", "84+20=104", "104-68=36" ]
Current State: 36:[96, 28, 84, 20], Operations: [] Exploring Operation: 96-28=68, Resulting Numbers: [84, 20, 68] Generated Node #2: [84, 20, 68] from Operation: 96-28=68 Current State: 36:[84, 20, 68], Operations: ['96-28=68'] Exploring Operation: 84+20=104, Resulting Numbers: [68, 104] Generated Node #3: [68, 104] from Operation: 84+20=104 Current State: 36:[68, 104], Operations: ['96-28=68', '84+20=104'] Exploring Operation: 104-68=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 25, 29, 7, 17 ]
85
[ "25-17=8", "7*8=56", "29+56=85" ]
Current State: 85:[25, 29, 7, 17], Operations: [] Exploring Operation: 25-17=8, Resulting Numbers: [29, 7, 8] Generated Node #2: [29, 7, 8] from Operation: 25-17=8 Current State: 85:[29, 7, 8], Operations: ['25-17=8'] Exploring Operation: 7*8=56, Resulting Numbers: [29, 56] Generated Node #3: [29, 56] from Operation: 7*8=56 Current State: 85:[29, 56], Operations: ['25-17=8', '7*8=56'] Exploring Operation: 29+56=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 41, 2, 18, 69 ]
37
[ "41+69=110", "110/2=55", "55-18=37" ]
Current State: 37:[41, 2, 18, 69], Operations: [] Exploring Operation: 41+69=110, Resulting Numbers: [2, 18, 110] Generated Node #2: [2, 18, 110] from Operation: 41+69=110 Current State: 37:[2, 18, 110], Operations: ['41+69=110'] Exploring Operation: 110/2=55, Resulting Numbers: [18, 55] Generated Node #3: [18, 55] from Operation: 110/2=55 Current State: 37:[18, 55], Operations: ['41+69=110', '110/2=55'] Exploring Operation: 55-18=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 26, 65, 68, 60 ]
31
[ "65-26=39", "68-60=8", "39-8=31" ]
Current State: 31:[26, 65, 68, 60], Operations: [] Exploring Operation: 65-26=39, Resulting Numbers: [68, 60, 39] Generated Node #2: [68, 60, 39] from Operation: 65-26=39 Current State: 31:[68, 60, 39], Operations: ['65-26=39'] Exploring Operation: 68-60=8, Resulting Numbers: [39, 8] Generated Node #3: [39, 8] from Operation: 68-60=8 Current State: 31:[39, 8], Operations: ['65-26=39', '68-60=8'] Exploring Operation: 39-8=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 3, 8, 45, 50 ]
37
[ "50-45=5", "8*5=40", "40-3=37" ]
Current State: 37:[3, 8, 45, 50], Operations: [] Exploring Operation: 50-45=5, Resulting Numbers: [3, 8, 5] Generated Node #2: [3, 8, 5] from Operation: 50-45=5 Current State: 37:[3, 8, 5], Operations: ['50-45=5'] Exploring Operation: 8*5=40, Resulting Numbers: [3, 40] Generated Node #3: [3, 40] from Operation: 8*5=40 Current State: 37:[3, 40], Operations: ['50-45=5', '8*5=40'] Exploring Operation: 40-3=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 28, 17, 66, 73 ]
52
[ "28+17=45", "73-66=7", "45+7=52" ]
Current State: 52:[28, 17, 66, 73], Operations: [] Exploring Operation: 28+17=45, Resulting Numbers: [66, 73, 45] Generated Node #2: [66, 73, 45] from Operation: 28+17=45 Current State: 52:[66, 73, 45], Operations: ['28+17=45'] Exploring Operation: 73-66=7, Resulting Numbers: [45, 7] Generated Node #3: [45, 7] from Operation: 73-66=7 Current State: 52:[45, 7], Operations: ['28+17=45', '73-66=7'] Exploring Operation: 45+7=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 7, 83, 50, 9 ]
66
[ "9-7=2", "83-50=33", "2*33=66" ]
Current State: 66:[7, 83, 50, 9], Operations: [] Exploring Operation: 9-7=2, Resulting Numbers: [83, 50, 2] Generated Node #2: [83, 50, 2] from Operation: 9-7=2 Current State: 66:[83, 50, 2], Operations: ['9-7=2'] Exploring Operation: 83-50=33, Resulting Numbers: [2, 33] Generated Node #3: [2, 33] from Operation: 83-50=33 Current State: 66:[2, 33], Operations: ['9-7=2', '83-50=33'] Exploring Operation: 2*33=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 46, 30, 30, 57 ]
11
[ "46+30=76", "30+57=87", "87-76=11" ]
Current State: 11:[46, 30, 30, 57], Operations: [] Exploring Operation: 46+30=76, Resulting Numbers: [57, 76] Generated Node #2: [57, 76] from Operation: 46+30=76 Current State: 11:[57, 76], Operations: ['46+30=76'] Exploring Operation: 30+57=87, Resulting Numbers: [76, 87] Generated Node #3: [76, 87] from Operation: 30+57=87 Current State: 11:[76, 87], Operations: ['46+30=76', '30+57=87'] Exploring Operation: 87-76=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 76, 26, 62, 85 ]
73
[ "76-26=50", "85-62=23", "50+23=73" ]
Current State: 73:[76, 26, 62, 85], Operations: [] Exploring Operation: 76-26=50, Resulting Numbers: [62, 85, 50] Generated Node #2: [62, 85, 50] from Operation: 76-26=50 Current State: 73:[62, 85, 50], Operations: ['76-26=50'] Exploring Operation: 85-62=23, Resulting Numbers: [50, 23] Generated Node #3: [50, 23] from Operation: 85-62=23 Current State: 73:[50, 23], Operations: ['76-26=50', '85-62=23'] Exploring Operation: 50+23=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 66, 26, 6, 5 ]
42
[ "66/6=11", "26+5=31", "11+31=42" ]
Current State: 42:[66, 26, 6, 5], Operations: [] Exploring Operation: 66/6=11, Resulting Numbers: [26, 5, 11] Generated Node #2: [26, 5, 11] from Operation: 66/6=11 Current State: 42:[26, 5, 11], Operations: ['66/6=11'] Exploring Operation: 26+5=31, Resulting Numbers: [11, 31] Generated Node #3: [11, 31] from Operation: 26+5=31 Current State: 42:[11, 31], Operations: ['66/6=11', '26+5=31'] Exploring Operation: 11+31=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 64, 43, 36, 41 ]
92
[ "43-41=2", "64*2=128", "128-36=92" ]
Current State: 92:[64, 43, 36, 41], Operations: [] Exploring Operation: 43-41=2, Resulting Numbers: [64, 36, 2] Generated Node #2: [64, 36, 2] from Operation: 43-41=2 Current State: 92:[64, 36, 2], Operations: ['43-41=2'] Exploring Operation: 64*2=128, Resulting Numbers: [36, 128] Generated Node #3: [36, 128] from Operation: 64*2=128 Current State: 92:[36, 128], Operations: ['43-41=2', '64*2=128'] Exploring Operation: 128-36=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 78, 65, 47, 5 ]
55
[ "78-65=13", "47-5=42", "13+42=55" ]
Current State: 55:[78, 65, 47, 5], Operations: [] Exploring Operation: 78-65=13, Resulting Numbers: [47, 5, 13] Generated Node #2: [47, 5, 13] from Operation: 78-65=13 Current State: 55:[47, 5, 13], Operations: ['78-65=13'] Exploring Operation: 47-5=42, Resulting Numbers: [13, 42] Generated Node #3: [13, 42] from Operation: 47-5=42 Current State: 55:[13, 42], Operations: ['78-65=13', '47-5=42'] Exploring Operation: 13+42=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 2, 18, 95, 21 ]
80
[ "2*18=36", "95+21=116", "116-36=80" ]
Current State: 80:[2, 18, 95, 21], Operations: [] Exploring Operation: 2*18=36, Resulting Numbers: [95, 21, 36] Generated Node #2: [95, 21, 36] from Operation: 2*18=36 Current State: 80:[95, 21, 36], Operations: ['2*18=36'] Exploring Operation: 95+21=116, Resulting Numbers: [36, 116] Generated Node #3: [36, 116] from Operation: 95+21=116 Current State: 80:[36, 116], Operations: ['2*18=36', '95+21=116'] Exploring Operation: 116-36=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 2, 12, 25, 10 ]
25
[ "12-2=10", "25+10=35", "35-10=25" ]
Current State: 25:[2, 12, 25, 10], Operations: [] Exploring Operation: 12-2=10, Resulting Numbers: [25, 10, 10] Generated Node #2: [25, 10, 10] from Operation: 12-2=10 Current State: 25:[25, 10, 10], Operations: ['12-2=10'] Exploring Operation: 25+10=35, Resulting Numbers: [35] 35,25 equal: Goal Reached Exploring Operation: 35-10=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 53, 25, 2, 57 ]
36
[ "53+25=78", "2*57=114", "114-78=36" ]
Current State: 36:[53, 25, 2, 57], Operations: [] Exploring Operation: 53+25=78, Resulting Numbers: [2, 57, 78] Generated Node #2: [2, 57, 78] from Operation: 53+25=78 Current State: 36:[2, 57, 78], Operations: ['53+25=78'] Exploring Operation: 2*57=114, Resulting Numbers: [78, 114] Generated Node #3: [78, 114] from Operation: 2*57=114 Current State: 36:[78, 114], Operations: ['53+25=78', '2*57=114'] Exploring Operation: 114-78=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 2, 63, 29, 18 ]
90
[ "2*29=58", "63-58=5", "18*5=90" ]
Current State: 90:[2, 63, 29, 18], Operations: [] Exploring Operation: 2*29=58, Resulting Numbers: [63, 18, 58] Generated Node #2: [63, 18, 58] from Operation: 2*29=58 Current State: 90:[63, 18, 58], Operations: ['2*29=58'] Exploring Operation: 63-58=5, Resulting Numbers: [18, 5] Generated Node #3: [18, 5] from Operation: 63-58=5 Current State: 90:[18, 5], Operations: ['2*29=58', '63-58=5'] Exploring Operation: 18*5=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 19, 7, 21, 57 ]
25
[ "21-19=2", "57-7=50", "50/2=25" ]
Current State: 25:[19, 7, 21, 57], Operations: [] Exploring Operation: 21-19=2, Resulting Numbers: [7, 57, 2] Generated Node #2: [7, 57, 2] from Operation: 21-19=2 Current State: 25:[7, 57, 2], Operations: ['21-19=2'] Exploring Operation: 57-7=50, Resulting Numbers: [2, 50] Generated Node #3: [2, 50] from Operation: 57-7=50 Current State: 25:[2, 50], Operations: ['21-19=2', '57-7=50'] Exploring Operation: 50/2=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 65, 4, 38, 63 ]
84
[ "65-63=2", "4+38=42", "2*42=84" ]
Current State: 84:[65, 4, 38, 63], Operations: [] Exploring Operation: 65-63=2, Resulting Numbers: [4, 38, 2] Generated Node #2: [4, 38, 2] from Operation: 65-63=2 Current State: 84:[4, 38, 2], Operations: ['65-63=2'] Exploring Operation: 4+38=42, Resulting Numbers: [2, 42] Generated Node #3: [2, 42] from Operation: 4+38=42 Current State: 84:[2, 42], Operations: ['65-63=2', '4+38=42'] Exploring Operation: 2*42=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 3, 36, 9, 5 ]
26
[ "36/3=12", "9+5=14", "12+14=26" ]
Current State: 26:[3, 36, 9, 5], Operations: [] Exploring Operation: 36/3=12, Resulting Numbers: [9, 5, 12] Generated Node #2: [9, 5, 12] from Operation: 36/3=12 Current State: 26:[9, 5, 12], Operations: ['36/3=12'] Exploring Operation: 9+5=14, Resulting Numbers: [12, 14] Generated Node #3: [12, 14] from Operation: 9+5=14 Current State: 26:[12, 14], Operations: ['36/3=12', '9+5=14'] Exploring Operation: 12+14=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 31, 10, 29, 65 ]
71
[ "31+29=60", "60/10=6", "65+6=71" ]
Current State: 71:[31, 10, 29, 65], Operations: [] Exploring Operation: 31+29=60, Resulting Numbers: [10, 65, 60] Generated Node #2: [10, 65, 60] from Operation: 31+29=60 Current State: 71:[10, 65, 60], Operations: ['31+29=60'] Exploring Operation: 60/10=6, Resulting Numbers: [65, 6] Generated Node #3: [65, 6] from Operation: 60/10=6 Current State: 71:[65, 6], Operations: ['31+29=60', '60/10=6'] Exploring Operation: 65+6=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 95, 79, 38, 38 ]
32
[ "79*38=3002", "38+3002=3040", "3040/95=32" ]
Current State: 32:[95, 79, 38, 38], Operations: [] Exploring Operation: 79*38=3002, Resulting Numbers: [95, 3002] Generated Node #2: [95, 3002] from Operation: 79*38=3002 Current State: 32:[95, 3002], Operations: ['79*38=3002'] Exploring Operation: 38+3002=3040, Resulting Numbers: [95, 3040] Generated Node #3: [95, 3040] from Operation: 38+3002=3040 Current State: 32:[95, 3040], Operations: ['79*38=3002', '38+3002=3040'] Exploring Operation: 3040/95=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 68, 64, 6, 61 ]
85
[ "68-64=4", "6*4=24", "61+24=85" ]
Current State: 85:[68, 64, 6, 61], Operations: [] Exploring Operation: 68-64=4, Resulting Numbers: [6, 61, 4] Generated Node #2: [6, 61, 4] from Operation: 68-64=4 Current State: 85:[6, 61, 4], Operations: ['68-64=4'] Exploring Operation: 6*4=24, Resulting Numbers: [61, 24] Generated Node #3: [61, 24] from Operation: 6*4=24 Current State: 85:[61, 24], Operations: ['68-64=4', '6*4=24'] Exploring Operation: 61+24=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 4, 10, 84, 64 ]
53
[ "84/4=21", "10+64=74", "74-21=53" ]
Current State: 53:[4, 10, 84, 64], Operations: [] Exploring Operation: 84/4=21, Resulting Numbers: [10, 64, 21] Generated Node #2: [10, 64, 21] from Operation: 84/4=21 Current State: 53:[10, 64, 21], Operations: ['84/4=21'] Exploring Operation: 10+64=74, Resulting Numbers: [21, 74] Generated Node #3: [21, 74] from Operation: 10+64=74 Current State: 53:[21, 74], Operations: ['84/4=21', '10+64=74'] Exploring Operation: 74-21=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 8, 58, 48, 61 ]
43
[ "8+58=66", "48+61=109", "109-66=43" ]
Current State: 43:[8, 58, 48, 61], Operations: [] Exploring Operation: 8+58=66, Resulting Numbers: [48, 61, 66] Generated Node #2: [48, 61, 66] from Operation: 8+58=66 Current State: 43:[48, 61, 66], Operations: ['8+58=66'] Exploring Operation: 48+61=109, Resulting Numbers: [66, 109] Generated Node #3: [66, 109] from Operation: 48+61=109 Current State: 43:[66, 109], Operations: ['8+58=66', '48+61=109'] Exploring Operation: 109-66=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 54, 3, 75, 18 ]
76
[ "54/3=18", "18/18=1", "75+1=76" ]
Current State: 76:[54, 3, 75, 18], Operations: [] Exploring Operation: 54/3=18, Resulting Numbers: [75, 18, 18] Generated Node #2: [75, 18, 18] from Operation: 54/3=18 Current State: 76:[75, 18, 18], Operations: ['54/3=18'] Exploring Operation: 18/18=1, Resulting Numbers: [75, 1] Generated Node #3: [75, 1] from Operation: 18/18=1 Current State: 76:[75, 1], Operations: ['54/3=18', '18/18=1'] Exploring Operation: 75+1=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 66, 2, 94, 4 ]
83
[ "2+4=6", "66/6=11", "94-11=83" ]
Current State: 83:[66, 2, 94, 4], Operations: [] Exploring Operation: 2+4=6, Resulting Numbers: [66, 94, 6] Generated Node #2: [66, 94, 6] from Operation: 2+4=6 Current State: 83:[66, 94, 6], Operations: ['2+4=6'] Exploring Operation: 66/6=11, Resulting Numbers: [94, 11] Generated Node #3: [94, 11] from Operation: 66/6=11 Current State: 83:[94, 11], Operations: ['2+4=6', '66/6=11'] Exploring Operation: 94-11=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 45, 54, 90, 39 ]
93
[ "54-39=15", "45/15=3", "90+3=93" ]
Current State: 93:[45, 54, 90, 39], Operations: [] Exploring Operation: 54-39=15, Resulting Numbers: [45, 90, 15] Generated Node #2: [45, 90, 15] from Operation: 54-39=15 Current State: 93:[45, 90, 15], Operations: ['54-39=15'] Exploring Operation: 45/15=3, Resulting Numbers: [90, 3] Generated Node #3: [90, 3] from Operation: 45/15=3 Current State: 93:[90, 3], Operations: ['54-39=15', '45/15=3'] Exploring Operation: 90+3=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 44, 12, 56, 5 ]
72
[ "56-44=12", "12*5=60", "12+60=72" ]
Current State: 72:[44, 12, 56, 5], Operations: [] Exploring Operation: 56-44=12, Resulting Numbers: [12, 5, 12] Generated Node #2: [12, 5, 12] from Operation: 56-44=12 Current State: 72:[12, 5, 12], Operations: ['56-44=12'] Exploring Operation: 12*5=60, Resulting Numbers: [60] 60,72 equal: Goal Reached Exploring Operation: 12+60=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 18, 7, 20, 84 ]
75
[ "18-7=11", "84-20=64", "11+64=75" ]
Current State: 75:[18, 7, 20, 84], Operations: [] Exploring Operation: 18-7=11, Resulting Numbers: [20, 84, 11] Generated Node #2: [20, 84, 11] from Operation: 18-7=11 Current State: 75:[20, 84, 11], Operations: ['18-7=11'] Exploring Operation: 84-20=64, Resulting Numbers: [11, 64] Generated Node #3: [11, 64] from Operation: 84-20=64 Current State: 75:[11, 64], Operations: ['18-7=11', '84-20=64'] Exploring Operation: 11+64=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 88, 19, 13, 86 ]
30
[ "88-19=69", "13+86=99", "99-69=30" ]
Current State: 30:[88, 19, 13, 86], Operations: [] Exploring Operation: 88-19=69, Resulting Numbers: [13, 86, 69] Generated Node #2: [13, 86, 69] from Operation: 88-19=69 Current State: 30:[13, 86, 69], Operations: ['88-19=69'] Exploring Operation: 13+86=99, Resulting Numbers: [69, 99] Generated Node #3: [69, 99] from Operation: 13+86=99 Current State: 30:[69, 99], Operations: ['88-19=69', '13+86=99'] Exploring Operation: 99-69=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 99, 69, 16, 70 ]
82
[ "99+69=168", "16+70=86", "168-86=82" ]
Current State: 82:[99, 69, 16, 70], Operations: [] Exploring Operation: 99+69=168, Resulting Numbers: [16, 70, 168] Generated Node #2: [16, 70, 168] from Operation: 99+69=168 Current State: 82:[16, 70, 168], Operations: ['99+69=168'] Exploring Operation: 16+70=86, Resulting Numbers: [168, 86] Generated Node #3: [168, 86] from Operation: 16+70=86 Current State: 82:[168, 86], Operations: ['99+69=168', '16+70=86'] Exploring Operation: 168-86=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 1, 3, 74, 12 ]
43
[ "3-1=2", "74+12=86", "86/2=43" ]
Current State: 43:[1, 3, 74, 12], Operations: [] Exploring Operation: 3-1=2, Resulting Numbers: [74, 12, 2] Generated Node #2: [74, 12, 2] from Operation: 3-1=2 Current State: 43:[74, 12, 2], Operations: ['3-1=2'] Exploring Operation: 74+12=86, Resulting Numbers: [2, 86] Generated Node #3: [2, 86] from Operation: 74+12=86 Current State: 43:[2, 86], Operations: ['3-1=2', '74+12=86'] Exploring Operation: 86/2=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 82, 1, 77, 15 ]
90
[ "82+1=83", "83-77=6", "15*6=90" ]
Current State: 90:[82, 1, 77, 15], Operations: [] Exploring Operation: 82+1=83, Resulting Numbers: [77, 15, 83] Generated Node #2: [77, 15, 83] from Operation: 82+1=83 Current State: 90:[77, 15, 83], Operations: ['82+1=83'] Exploring Operation: 83-77=6, Resulting Numbers: [15, 6] Generated Node #3: [15, 6] from Operation: 83-77=6 Current State: 90:[15, 6], Operations: ['82+1=83', '83-77=6'] Exploring Operation: 15*6=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 78, 44, 20, 97 ]
44
[ "78+20=98", "98-97=1", "44*1=44" ]
Current State: 44:[78, 44, 20, 97], Operations: [] Exploring Operation: 78+20=98, Resulting Numbers: [44, 97, 98] Generated Node #2: [44, 97, 98] from Operation: 78+20=98 Current State: 44:[44, 97, 98], Operations: ['78+20=98'] Exploring Operation: 98-97=1, Resulting Numbers: [44, 1] Generated Node #3: [44, 1] from Operation: 98-97=1 Current State: 44:[44, 1], Operations: ['78+20=98', '98-97=1'] Exploring Operation: 44*1=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 41, 66, 91, 33 ]
31
[ "41+91=132", "132/66=2", "33-2=31" ]
Current State: 31:[41, 66, 91, 33], Operations: [] Exploring Operation: 41+91=132, Resulting Numbers: [66, 33, 132] Generated Node #2: [66, 33, 132] from Operation: 41+91=132 Current State: 31:[66, 33, 132], Operations: ['41+91=132'] Exploring Operation: 132/66=2, Resulting Numbers: [33, 2] Generated Node #3: [33, 2] from Operation: 132/66=2 Current State: 31:[33, 2], Operations: ['41+91=132', '132/66=2'] Exploring Operation: 33-2=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 22, 39, 46, 24 ]
87
[ "39-22=17", "46+24=70", "17+70=87" ]
Current State: 87:[22, 39, 46, 24], Operations: [] Exploring Operation: 39-22=17, Resulting Numbers: [46, 24, 17] Generated Node #2: [46, 24, 17] from Operation: 39-22=17 Current State: 87:[46, 24, 17], Operations: ['39-22=17'] Exploring Operation: 46+24=70, Resulting Numbers: [17, 70] Generated Node #3: [17, 70] from Operation: 46+24=70 Current State: 87:[17, 70], Operations: ['39-22=17', '46+24=70'] Exploring Operation: 17+70=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 90, 6, 27, 32 ]
79
[ "90-6=84", "32-27=5", "84-5=79" ]
Current State: 79:[90, 6, 27, 32], Operations: [] Exploring Operation: 90-6=84, Resulting Numbers: [27, 32, 84] Generated Node #2: [27, 32, 84] from Operation: 90-6=84 Current State: 79:[27, 32, 84], Operations: ['90-6=84'] Exploring Operation: 32-27=5, Resulting Numbers: [84, 5] Generated Node #3: [84, 5] from Operation: 32-27=5 Current State: 79:[84, 5], Operations: ['90-6=84', '32-27=5'] Exploring Operation: 84-5=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 54, 59, 81, 49 ]
81
[ "54+59=113", "81-49=32", "113-32=81" ]
Current State: 81:[54, 59, 81, 49], Operations: [] Exploring Operation: 54+59=113, Resulting Numbers: [81, 49, 113] Generated Node #2: [81, 49, 113] from Operation: 54+59=113 Current State: 81:[81, 49, 113], Operations: ['54+59=113'] Exploring Operation: 81-49=32, Resulting Numbers: [113, 32] Generated Node #3: [113, 32] from Operation: 81-49=32 Current State: 81:[113, 32], Operations: ['54+59=113', '81-49=32'] Exploring Operation: 113-32=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 80, 26, 8, 70 ]
83
[ "8+70=78", "78/26=3", "80+3=83" ]
Current State: 83:[80, 26, 8, 70], Operations: [] Exploring Operation: 8+70=78, Resulting Numbers: [80, 26, 78] Generated Node #2: [80, 26, 78] from Operation: 8+70=78 Current State: 83:[80, 26, 78], Operations: ['8+70=78'] Exploring Operation: 78/26=3, Resulting Numbers: [80, 3] Generated Node #3: [80, 3] from Operation: 78/26=3 Current State: 83:[80, 3], Operations: ['8+70=78', '78/26=3'] Exploring Operation: 80+3=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 50, 2, 16, 97 ]
39
[ "97-50=47", "16/2=8", "47-8=39" ]
Current State: 39:[50, 2, 16, 97], Operations: [] Exploring Operation: 97-50=47, Resulting Numbers: [2, 16, 47] Generated Node #2: [2, 16, 47] from Operation: 97-50=47 Current State: 39:[2, 16, 47], Operations: ['97-50=47'] Exploring Operation: 16/2=8, Resulting Numbers: [47, 8] Generated Node #3: [47, 8] from Operation: 16/2=8 Current State: 39:[47, 8], Operations: ['97-50=47', '16/2=8'] Exploring Operation: 47-8=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 60, 85, 52, 42 ]
69
[ "85-60=25", "52+42=94", "94-25=69" ]
Current State: 69:[60, 85, 52, 42], Operations: [] Exploring Operation: 85-60=25, Resulting Numbers: [52, 42, 25] Generated Node #2: [52, 42, 25] from Operation: 85-60=25 Current State: 69:[52, 42, 25], Operations: ['85-60=25'] Exploring Operation: 52+42=94, Resulting Numbers: [25, 94] Generated Node #3: [25, 94] from Operation: 52+42=94 Current State: 69:[25, 94], Operations: ['85-60=25', '52+42=94'] Exploring Operation: 94-25=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 10, 70, 72, 38 ]
81
[ "72+38=110", "110/10=11", "70+11=81" ]
Current State: 81:[10, 70, 72, 38], Operations: [] Exploring Operation: 72+38=110, Resulting Numbers: [10, 70, 110] Generated Node #2: [10, 70, 110] from Operation: 72+38=110 Current State: 81:[10, 70, 110], Operations: ['72+38=110'] Exploring Operation: 110/10=11, Resulting Numbers: [70, 11] Generated Node #3: [70, 11] from Operation: 110/10=11 Current State: 81:[70, 11], Operations: ['72+38=110', '110/10=11'] Exploring Operation: 70+11=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 52, 88, 2, 54 ]
72
[ "88-52=36", "2*54=108", "108-36=72" ]
Current State: 72:[52, 88, 2, 54], Operations: [] Exploring Operation: 88-52=36, Resulting Numbers: [2, 54, 36] Generated Node #2: [2, 54, 36] from Operation: 88-52=36 Current State: 72:[2, 54, 36], Operations: ['88-52=36'] Exploring Operation: 2*54=108, Resulting Numbers: [36, 108] Generated Node #3: [36, 108] from Operation: 2*54=108 Current State: 72:[36, 108], Operations: ['88-52=36', '2*54=108'] Exploring Operation: 108-36=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 87, 86, 23, 64 ]
85
[ "87-23=64", "64/64=1", "86-1=85" ]
Current State: 85:[87, 86, 23, 64], Operations: [] Exploring Operation: 87-23=64, Resulting Numbers: [86, 64, 64] Generated Node #2: [86, 64, 64] from Operation: 87-23=64 Current State: 85:[86, 64, 64], Operations: ['87-23=64'] Exploring Operation: 64/64=1, Resulting Numbers: [86, 1] Generated Node #3: [86, 1] from Operation: 64/64=1 Current State: 85:[86, 1], Operations: ['87-23=64', '64/64=1'] Exploring Operation: 86-1=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 38, 75, 44, 29 ]
52
[ "75-38=37", "44-29=15", "37+15=52" ]
Current State: 52:[38, 75, 44, 29], Operations: [] Exploring Operation: 75-38=37, Resulting Numbers: [44, 29, 37] Generated Node #2: [44, 29, 37] from Operation: 75-38=37 Current State: 52:[44, 29, 37], Operations: ['75-38=37'] Exploring Operation: 44-29=15, Resulting Numbers: [37, 15] Generated Node #3: [37, 15] from Operation: 44-29=15 Current State: 52:[37, 15], Operations: ['75-38=37', '44-29=15'] Exploring Operation: 37+15=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 48, 75, 95, 21 ]
93
[ "75+21=96", "96/48=2", "95-2=93" ]
Current State: 93:[48, 75, 95, 21], Operations: [] Exploring Operation: 75+21=96, Resulting Numbers: [48, 95, 96] Generated Node #2: [48, 95, 96] from Operation: 75+21=96 Current State: 93:[48, 95, 96], Operations: ['75+21=96'] Exploring Operation: 96/48=2, Resulting Numbers: [95, 2] Generated Node #3: [95, 2] from Operation: 96/48=2 Current State: 93:[95, 2], Operations: ['75+21=96', '96/48=2'] Exploring Operation: 95-2=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 92, 2, 86, 42 ]
61
[ "92-42=50", "50/2=25", "86-25=61" ]
Current State: 61:[92, 2, 86, 42], Operations: [] Exploring Operation: 92-42=50, Resulting Numbers: [2, 86, 50] Generated Node #2: [2, 86, 50] from Operation: 92-42=50 Current State: 61:[2, 86, 50], Operations: ['92-42=50'] Exploring Operation: 50/2=25, Resulting Numbers: [86, 25] Generated Node #3: [86, 25] from Operation: 50/2=25 Current State: 61:[86, 25], Operations: ['92-42=50', '50/2=25'] Exploring Operation: 86-25=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 65, 6, 5, 2 ]
85
[ "6-2=4", "5*4=20", "65+20=85" ]
Current State: 85:[65, 6, 5, 2], Operations: [] Exploring Operation: 6-2=4, Resulting Numbers: [65, 5, 4] Generated Node #2: [65, 5, 4] from Operation: 6-2=4 Current State: 85:[65, 5, 4], Operations: ['6-2=4'] Exploring Operation: 5*4=20, Resulting Numbers: [65, 20] Generated Node #3: [65, 20] from Operation: 5*4=20 Current State: 85:[65, 20], Operations: ['6-2=4', '5*4=20'] Exploring Operation: 65+20=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 49, 29, 35, 32 ]
81
[ "49+29=78", "35-32=3", "78+3=81" ]
Current State: 81:[49, 29, 35, 32], Operations: [] Exploring Operation: 49+29=78, Resulting Numbers: [35, 32, 78] Generated Node #2: [35, 32, 78] from Operation: 49+29=78 Current State: 81:[35, 32, 78], Operations: ['49+29=78'] Exploring Operation: 35-32=3, Resulting Numbers: [78, 3] Generated Node #3: [78, 3] from Operation: 35-32=3 Current State: 81:[78, 3], Operations: ['49+29=78', '35-32=3'] Exploring Operation: 78+3=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 90, 33, 10, 7 ]
96
[ "90/10=9", "7*9=63", "33+63=96" ]
Current State: 96:[90, 33, 10, 7], Operations: [] Exploring Operation: 90/10=9, Resulting Numbers: [33, 7, 9] Generated Node #2: [33, 7, 9] from Operation: 90/10=9 Current State: 96:[33, 7, 9], Operations: ['90/10=9'] Exploring Operation: 7*9=63, Resulting Numbers: [33, 63] Generated Node #3: [33, 63] from Operation: 7*9=63 Current State: 96:[33, 63], Operations: ['90/10=9', '7*9=63'] Exploring Operation: 33+63=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 90, 63, 80, 77 ]
21
[ "63*80=5040", "5040/90=56", "77-56=21" ]
Current State: 21:[90, 63, 80, 77], Operations: [] Exploring Operation: 63*80=5040, Resulting Numbers: [90, 77, 5040] Generated Node #2: [90, 77, 5040] from Operation: 63*80=5040 Current State: 21:[90, 77, 5040], Operations: ['63*80=5040'] Exploring Operation: 5040/90=56, Resulting Numbers: [77, 56] Generated Node #3: [77, 56] from Operation: 5040/90=56 Current State: 21:[77, 56], Operations: ['63*80=5040', '5040/90=56'] Exploring Operation: 77-56=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 12, 58, 74, 53 ]
18
[ "58+53=111", "12*111=1332", "1332/74=18" ]
Current State: 18:[12, 58, 74, 53], Operations: [] Exploring Operation: 58+53=111, Resulting Numbers: [12, 74, 111] Generated Node #2: [12, 74, 111] from Operation: 58+53=111 Current State: 18:[12, 74, 111], Operations: ['58+53=111'] Exploring Operation: 12*111=1332, Resulting Numbers: [74, 1332] Generated Node #3: [74, 1332] from Operation: 12*111=1332 Current State: 18:[74, 1332], Operations: ['58+53=111', '12*111=1332'] Exploring Operation: 1332/74=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 49, 3, 51, 61 ]
47
[ "61-49=12", "12/3=4", "51-4=47" ]
Current State: 47:[49, 3, 51, 61], Operations: [] Exploring Operation: 61-49=12, Resulting Numbers: [3, 51, 12] Generated Node #2: [3, 51, 12] from Operation: 61-49=12 Current State: 47:[3, 51, 12], Operations: ['61-49=12'] Exploring Operation: 12/3=4, Resulting Numbers: [51, 4] Generated Node #3: [51, 4] from Operation: 12/3=4 Current State: 47:[51, 4], Operations: ['61-49=12', '12/3=4'] Exploring Operation: 51-4=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 87, 74, 9, 80 ]
33
[ "80-74=6", "9*6=54", "87-54=33" ]
Current State: 33:[87, 74, 9, 80], Operations: [] Exploring Operation: 80-74=6, Resulting Numbers: [87, 9, 6] Generated Node #2: [87, 9, 6] from Operation: 80-74=6 Current State: 33:[87, 9, 6], Operations: ['80-74=6'] Exploring Operation: 9*6=54, Resulting Numbers: [87, 54] Generated Node #3: [87, 54] from Operation: 9*6=54 Current State: 33:[87, 54], Operations: ['80-74=6', '9*6=54'] Exploring Operation: 87-54=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 17, 87, 5, 34 ]
29
[ "34/17=2", "5-2=3", "87/3=29" ]
Current State: 29:[17, 87, 5, 34], Operations: [] Exploring Operation: 34/17=2, Resulting Numbers: [87, 5, 2] Generated Node #2: [87, 5, 2] from Operation: 34/17=2 Current State: 29:[87, 5, 2], Operations: ['34/17=2'] Exploring Operation: 5-2=3, Resulting Numbers: [87, 3] Generated Node #3: [87, 3] from Operation: 5-2=3 Current State: 29:[87, 3], Operations: ['34/17=2', '5-2=3'] Exploring Operation: 87/3=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 31, 67, 15, 98 ]
47
[ "67-31=36", "98-15=83", "83-36=47" ]
Current State: 47:[31, 67, 15, 98], Operations: [] Exploring Operation: 67-31=36, Resulting Numbers: [15, 98, 36] Generated Node #2: [15, 98, 36] from Operation: 67-31=36 Current State: 47:[15, 98, 36], Operations: ['67-31=36'] Exploring Operation: 98-15=83, Resulting Numbers: [36, 83] Generated Node #3: [36, 83] from Operation: 98-15=83 Current State: 47:[36, 83], Operations: ['67-31=36', '98-15=83'] Exploring Operation: 83-36=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 58, 8, 96, 29 ]
40
[ "58/29=2", "96/2=48", "48-8=40" ]
Current State: 40:[58, 8, 96, 29], Operations: [] Exploring Operation: 58/29=2, Resulting Numbers: [8, 96, 2] Generated Node #2: [8, 96, 2] from Operation: 58/29=2 Current State: 40:[8, 96, 2], Operations: ['58/29=2'] Exploring Operation: 96/2=48, Resulting Numbers: [8, 48] Generated Node #3: [8, 48] from Operation: 96/2=48 Current State: 40:[8, 48], Operations: ['58/29=2', '96/2=48'] Exploring Operation: 48-8=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 17, 15, 98, 26 ]
88
[ "15*98=1470", "26+1470=1496", "1496/17=88" ]
Current State: 88:[17, 15, 98, 26], Operations: [] Exploring Operation: 15*98=1470, Resulting Numbers: [17, 26, 1470] Generated Node #2: [17, 26, 1470] from Operation: 15*98=1470 Current State: 88:[17, 26, 1470], Operations: ['15*98=1470'] Exploring Operation: 26+1470=1496, Resulting Numbers: [17, 1496] Generated Node #3: [17, 1496] from Operation: 26+1470=1496 Current State: 88:[17, 1496], Operations: ['15*98=1470', '26+1470=1496'] Exploring Operation: 1496/17=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 16, 27, 7, 75 ]
39
[ "16+27=43", "7+75=82", "82-43=39" ]
Current State: 39:[16, 27, 7, 75], Operations: [] Exploring Operation: 16+27=43, Resulting Numbers: [7, 75, 43] Generated Node #2: [7, 75, 43] from Operation: 16+27=43 Current State: 39:[7, 75, 43], Operations: ['16+27=43'] Exploring Operation: 7+75=82, Resulting Numbers: [43, 82] Generated Node #3: [43, 82] from Operation: 7+75=82 Current State: 39:[43, 82], Operations: ['16+27=43', '7+75=82'] Exploring Operation: 82-43=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 14, 2, 30, 45 ]
11
[ "30/2=15", "45/15=3", "14-3=11" ]
Current State: 11:[14, 2, 30, 45], Operations: [] Exploring Operation: 30/2=15, Resulting Numbers: [14, 45, 15] Generated Node #2: [14, 45, 15] from Operation: 30/2=15 Current State: 11:[14, 45, 15], Operations: ['30/2=15'] Exploring Operation: 45/15=3, Resulting Numbers: [14, 3] Generated Node #3: [14, 3] from Operation: 45/15=3 Current State: 11:[14, 3], Operations: ['30/2=15', '45/15=3'] Exploring Operation: 14-3=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 4, 43, 32, 50 ]
56
[ "32/4=8", "50-43=7", "8*7=56" ]
Current State: 56:[4, 43, 32, 50], Operations: [] Exploring Operation: 32/4=8, Resulting Numbers: [43, 50, 8] Generated Node #2: [43, 50, 8] from Operation: 32/4=8 Current State: 56:[43, 50, 8], Operations: ['32/4=8'] Exploring Operation: 50-43=7, Resulting Numbers: [8, 7] Generated Node #3: [8, 7] from Operation: 50-43=7 Current State: 56:[8, 7], Operations: ['32/4=8', '50-43=7'] Exploring Operation: 8*7=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 2, 16, 49, 8 ]
89
[ "2*16=32", "49+8=57", "32+57=89" ]
Current State: 89:[2, 16, 49, 8], Operations: [] Exploring Operation: 2*16=32, Resulting Numbers: [49, 8, 32] Generated Node #2: [49, 8, 32] from Operation: 2*16=32 Current State: 89:[49, 8, 32], Operations: ['2*16=32'] Exploring Operation: 49+8=57, Resulting Numbers: [32, 57] Generated Node #3: [32, 57] from Operation: 49+8=57 Current State: 89:[32, 57], Operations: ['2*16=32', '49+8=57'] Exploring Operation: 32+57=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 4, 11, 49, 79 ]
12
[ "4+49=53", "79+53=132", "132/11=12" ]
Current State: 12:[4, 11, 49, 79], Operations: [] Exploring Operation: 4+49=53, Resulting Numbers: [11, 79, 53] Generated Node #2: [11, 79, 53] from Operation: 4+49=53 Current State: 12:[11, 79, 53], Operations: ['4+49=53'] Exploring Operation: 79+53=132, Resulting Numbers: [11, 132] Generated Node #3: [11, 132] from Operation: 79+53=132 Current State: 12:[11, 132], Operations: ['4+49=53', '79+53=132'] Exploring Operation: 132/11=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 34, 19, 66, 39 ]
12
[ "34-19=15", "66-39=27", "27-15=12" ]
Current State: 12:[34, 19, 66, 39], Operations: [] Exploring Operation: 34-19=15, Resulting Numbers: [66, 39, 15] Generated Node #2: [66, 39, 15] from Operation: 34-19=15 Current State: 12:[66, 39, 15], Operations: ['34-19=15'] Exploring Operation: 66-39=27, Resulting Numbers: [15, 27] Generated Node #3: [15, 27] from Operation: 66-39=27 Current State: 12:[15, 27], Operations: ['34-19=15', '66-39=27'] Exploring Operation: 27-15=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4