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
[ 11, 44, 15, 55 ]
23
[ "44*15=660", "660/55=12", "11+12=23" ]
Current State: 23:[11, 44, 15, 55], Operations: [] Exploring Operation: 44*15=660, Resulting Numbers: [11, 55, 660] Generated Node #2: [11, 55, 660] from Operation: 44*15=660 Current State: 23:[11, 55, 660], Operations: ['44*15=660'] Exploring Operation: 660/55=12, Resulting Numbers: [11, 12] Generated Node #3: [11, 12] from Operation: 660/55=12 Current State: 23:[11, 12], Operations: ['44*15=660', '660/55=12'] Exploring Operation: 11+12=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 22, 45, 87, 27 ]
47
[ "22+45=67", "87+27=114", "114-67=47" ]
Current State: 47:[22, 45, 87, 27], Operations: [] Exploring Operation: 22+45=67, Resulting Numbers: [87, 27, 67] Generated Node #2: [87, 27, 67] from Operation: 22+45=67 Current State: 47:[87, 27, 67], Operations: ['22+45=67'] Exploring Operation: 87+27=114, Resulting Numbers: [67, 114] Generated Node #3: [67, 114] from Operation: 87+27=114 Current State: 47:[67, 114], Operations: ['22+45=67', '87+27=114'] Exploring Operation: 114-67=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 15, 72, 5, 6 ]
45
[ "72*5=360", "360/6=60", "60-15=45" ]
Current State: 45:[15, 72, 5, 6], Operations: [] Exploring Operation: 72*5=360, Resulting Numbers: [15, 6, 360] Generated Node #2: [15, 6, 360] from Operation: 72*5=360 Current State: 45:[15, 6, 360], Operations: ['72*5=360'] Exploring Operation: 360/6=60, Resulting Numbers: [15, 60] Generated Node #3: [15, 60] from Operation: 360/6=60 Current State: 45:[15, 60], Operations: ['72*5=360', '360/6=60'] Exploring Operation: 60-15=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 71, 18, 75, 66 ]
91
[ "75-66=9", "18*9=162", "162-71=91" ]
Current State: 91:[71, 18, 75, 66], Operations: [] Exploring Operation: 75-66=9, Resulting Numbers: [71, 18, 9] Generated Node #2: [71, 18, 9] from Operation: 75-66=9 Current State: 91:[71, 18, 9], Operations: ['75-66=9'] Exploring Operation: 18*9=162, Resulting Numbers: [71, 162] Generated Node #3: [71, 162] from Operation: 18*9=162 Current State: 91:[71, 162], Operations: ['75-66=9', '18*9=162'] Exploring Operation: 162-71=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 10, 58, 56, 77 ]
57
[ "58-56=2", "10*2=20", "77-20=57" ]
Current State: 57:[10, 58, 56, 77], Operations: [] Exploring Operation: 58-56=2, Resulting Numbers: [10, 77, 2] Generated Node #2: [10, 77, 2] from Operation: 58-56=2 Current State: 57:[10, 77, 2], Operations: ['58-56=2'] Exploring Operation: 10*2=20, Resulting Numbers: [77, 20] Generated Node #3: [77, 20] from Operation: 10*2=20 Current State: 57:[77, 20], Operations: ['58-56=2', '10*2=20'] Exploring Operation: 77-20=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 97, 30, 91, 59 ]
95
[ "97+30=127", "91-59=32", "127-32=95" ]
Current State: 95:[97, 30, 91, 59], Operations: [] Exploring Operation: 97+30=127, Resulting Numbers: [91, 59, 127] Generated Node #2: [91, 59, 127] from Operation: 97+30=127 Current State: 95:[91, 59, 127], Operations: ['97+30=127'] Exploring Operation: 91-59=32, Resulting Numbers: [127, 32] Generated Node #3: [127, 32] from Operation: 91-59=32 Current State: 95:[127, 32], Operations: ['97+30=127', '91-59=32'] Exploring Operation: 127-32=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 2, 12, 28, 8 ]
32
[ "2*12=24", "28-24=4", "8*4=32" ]
Current State: 32:[2, 12, 28, 8], Operations: [] Exploring Operation: 2*12=24, Resulting Numbers: [28, 8, 24] Generated Node #2: [28, 8, 24] from Operation: 2*12=24 Current State: 32:[28, 8, 24], Operations: ['2*12=24'] Exploring Operation: 28-24=4, Resulting Numbers: [8, 4] Generated Node #3: [8, 4] from Operation: 28-24=4 Current State: 32:[8, 4], Operations: ['2*12=24', '28-24=4'] Exploring Operation: 8*4=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 54, 18, 66, 3 ]
75
[ "54/18=3", "3*3=9", "66+9=75" ]
Current State: 75:[54, 18, 66, 3], Operations: [] Exploring Operation: 54/18=3, Resulting Numbers: [66, 3, 3] Generated Node #2: [66, 3, 3] from Operation: 54/18=3 Current State: 75:[66, 3, 3], Operations: ['54/18=3'] Exploring Operation: 3*3=9, Resulting Numbers: [66, 9] Generated Node #3: [66, 9] from Operation: 3*3=9 Current State: 75:[66, 9], Operations: ['54/18=3', '3*3=9'] Exploring Operation: 66+9=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 16, 5, 13, 67 ]
76
[ "16-5=11", "13*11=143", "143-67=76" ]
Current State: 76:[16, 5, 13, 67], Operations: [] Exploring Operation: 16-5=11, Resulting Numbers: [13, 67, 11] Generated Node #2: [13, 67, 11] from Operation: 16-5=11 Current State: 76:[13, 67, 11], Operations: ['16-5=11'] Exploring Operation: 13*11=143, Resulting Numbers: [67, 143] Generated Node #3: [67, 143] from Operation: 13*11=143 Current State: 76:[67, 143], Operations: ['16-5=11', '13*11=143'] Exploring Operation: 143-67=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 23, 3, 45, 36 ]
17
[ "23+3=26", "45-36=9", "26-9=17" ]
Current State: 17:[23, 3, 45, 36], Operations: [] Exploring Operation: 23+3=26, Resulting Numbers: [45, 36, 26] Generated Node #2: [45, 36, 26] from Operation: 23+3=26 Current State: 17:[45, 36, 26], Operations: ['23+3=26'] Exploring Operation: 45-36=9, Resulting Numbers: [26, 9] Generated Node #3: [26, 9] from Operation: 45-36=9 Current State: 17:[26, 9], Operations: ['23+3=26', '45-36=9'] Exploring Operation: 26-9=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 4, 10, 37, 11 ]
62
[ "4+10=14", "37+11=48", "14+48=62" ]
Current State: 62:[4, 10, 37, 11], Operations: [] Exploring Operation: 4+10=14, Resulting Numbers: [37, 11, 14] Generated Node #2: [37, 11, 14] from Operation: 4+10=14 Current State: 62:[37, 11, 14], Operations: ['4+10=14'] Exploring Operation: 37+11=48, Resulting Numbers: [14, 48] Generated Node #3: [14, 48] from Operation: 37+11=48 Current State: 62:[14, 48], Operations: ['4+10=14', '37+11=48'] Exploring Operation: 14+48=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 54, 14, 10, 66 ]
26
[ "54+66=120", "120/10=12", "14+12=26" ]
Current State: 26:[54, 14, 10, 66], Operations: [] Exploring Operation: 54+66=120, Resulting Numbers: [14, 10, 120] Generated Node #2: [14, 10, 120] from Operation: 54+66=120 Current State: 26:[14, 10, 120], Operations: ['54+66=120'] Exploring Operation: 120/10=12, Resulting Numbers: [14, 12] Generated Node #3: [14, 12] from Operation: 120/10=12 Current State: 26:[14, 12], Operations: ['54+66=120', '120/10=12'] Exploring Operation: 14+12=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 99, 41, 23, 15 ]
20
[ "99-41=58", "23+15=38", "58-38=20" ]
Current State: 20:[99, 41, 23, 15], Operations: [] Exploring Operation: 99-41=58, Resulting Numbers: [23, 15, 58] Generated Node #2: [23, 15, 58] from Operation: 99-41=58 Current State: 20:[23, 15, 58], Operations: ['99-41=58'] Exploring Operation: 23+15=38, Resulting Numbers: [58, 38] Generated Node #3: [58, 38] from Operation: 23+15=38 Current State: 20:[58, 38], Operations: ['99-41=58', '23+15=38'] Exploring Operation: 58-38=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 26, 87, 46, 86 ]
73
[ "26+87=113", "86-46=40", "113-40=73" ]
Current State: 73:[26, 87, 46, 86], Operations: [] Exploring Operation: 26+87=113, Resulting Numbers: [46, 86, 113] Generated Node #2: [46, 86, 113] from Operation: 26+87=113 Current State: 73:[46, 86, 113], Operations: ['26+87=113'] Exploring Operation: 86-46=40, Resulting Numbers: [113, 40] Generated Node #3: [113, 40] from Operation: 86-46=40 Current State: 73:[113, 40], Operations: ['26+87=113', '86-46=40'] Exploring Operation: 113-40=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 23, 33, 19, 2 ]
11
[ "33-23=10", "19+2=21", "21-10=11" ]
Current State: 11:[23, 33, 19, 2], Operations: [] Exploring Operation: 33-23=10, Resulting Numbers: [19, 2, 10] Generated Node #2: [19, 2, 10] from Operation: 33-23=10 Current State: 11:[19, 2, 10], Operations: ['33-23=10'] Exploring Operation: 19+2=21, Resulting Numbers: [10, 21] Generated Node #3: [10, 21] from Operation: 19+2=21 Current State: 11:[10, 21], Operations: ['33-23=10', '19+2=21'] Exploring Operation: 21-10=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 43, 41, 4, 52 ]
22
[ "43-41=2", "52/2=26", "26-4=22" ]
Current State: 22:[43, 41, 4, 52], Operations: [] Exploring Operation: 43-41=2, Resulting Numbers: [4, 52, 2] Generated Node #2: [4, 52, 2] from Operation: 43-41=2 Current State: 22:[4, 52, 2], Operations: ['43-41=2'] Exploring Operation: 52/2=26, Resulting Numbers: [4, 26] Generated Node #3: [4, 26] from Operation: 52/2=26 Current State: 22:[4, 26], Operations: ['43-41=2', '52/2=26'] Exploring Operation: 26-4=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 59, 35, 88, 38 ]
32
[ "59+35=94", "88+38=126", "126-94=32" ]
Current State: 32:[59, 35, 88, 38], Operations: [] Exploring Operation: 59+35=94, Resulting Numbers: [88, 38, 94] Generated Node #2: [88, 38, 94] from Operation: 59+35=94 Current State: 32:[88, 38, 94], Operations: ['59+35=94'] Exploring Operation: 88+38=126, Resulting Numbers: [94, 126] Generated Node #3: [94, 126] from Operation: 88+38=126 Current State: 32:[94, 126], Operations: ['59+35=94', '88+38=126'] Exploring Operation: 126-94=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 6, 49, 18, 89 ]
16
[ "6+49=55", "89-18=71", "71-55=16" ]
Current State: 16:[6, 49, 18, 89], Operations: [] Exploring Operation: 6+49=55, Resulting Numbers: [18, 89, 55] Generated Node #2: [18, 89, 55] from Operation: 6+49=55 Current State: 16:[18, 89, 55], Operations: ['6+49=55'] Exploring Operation: 89-18=71, Resulting Numbers: [55, 71] Generated Node #3: [55, 71] from Operation: 89-18=71 Current State: 16:[55, 71], Operations: ['6+49=55', '89-18=71'] Exploring Operation: 71-55=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 2, 45, 89, 19 ]
65
[ "45-2=43", "89+19=108", "108-43=65" ]
Current State: 65:[2, 45, 89, 19], Operations: [] Exploring Operation: 45-2=43, Resulting Numbers: [89, 19, 43] Generated Node #2: [89, 19, 43] from Operation: 45-2=43 Current State: 65:[89, 19, 43], Operations: ['45-2=43'] Exploring Operation: 89+19=108, Resulting Numbers: [43, 108] Generated Node #3: [43, 108] from Operation: 89+19=108 Current State: 65:[43, 108], Operations: ['45-2=43', '89+19=108'] Exploring Operation: 108-43=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 26, 81, 1, 67 ]
39
[ "26+81=107", "1+67=68", "107-68=39" ]
Current State: 39:[26, 81, 1, 67], Operations: [] Exploring Operation: 26+81=107, Resulting Numbers: [1, 67, 107] Generated Node #2: [1, 67, 107] from Operation: 26+81=107 Current State: 39:[1, 67, 107], Operations: ['26+81=107'] Exploring Operation: 1+67=68, Resulting Numbers: [107, 68] Generated Node #3: [107, 68] from Operation: 1+67=68 Current State: 39:[107, 68], Operations: ['26+81=107', '1+67=68'] Exploring Operation: 107-68=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 84, 24, 90, 80 ]
70
[ "84-24=60", "90-80=10", "60+10=70" ]
Current State: 70:[84, 24, 90, 80], Operations: [] Exploring Operation: 84-24=60, Resulting Numbers: [90, 80, 60] Generated Node #2: [90, 80, 60] from Operation: 84-24=60 Current State: 70:[90, 80, 60], Operations: ['84-24=60'] Exploring Operation: 90-80=10, Resulting Numbers: [60, 10] Generated Node #3: [60, 10] from Operation: 90-80=10 Current State: 70:[60, 10], Operations: ['84-24=60', '90-80=10'] Exploring Operation: 60+10=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 50, 58, 8, 66 ]
82
[ "58-50=8", "8+66=74", "8+74=82" ]
Current State: 82:[50, 58, 8, 66], Operations: [] Exploring Operation: 58-50=8, Resulting Numbers: [8, 66, 8] Generated Node #2: [8, 66, 8] from Operation: 58-50=8 Current State: 82:[8, 66, 8], Operations: ['58-50=8'] Exploring Operation: 8+66=74, Resulting Numbers: [74] 74,82 equal: Goal Reached Exploring Operation: 8+74=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 53, 55, 19, 51 ]
83
[ "55-53=2", "51*2=102", "102-19=83" ]
Current State: 83:[53, 55, 19, 51], Operations: [] Exploring Operation: 55-53=2, Resulting Numbers: [19, 51, 2] Generated Node #2: [19, 51, 2] from Operation: 55-53=2 Current State: 83:[19, 51, 2], Operations: ['55-53=2'] Exploring Operation: 51*2=102, Resulting Numbers: [19, 102] Generated Node #3: [19, 102] from Operation: 51*2=102 Current State: 83:[19, 102], Operations: ['55-53=2', '51*2=102'] Exploring Operation: 102-19=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 44, 57, 64, 26 ]
32
[ "57-44=13", "64*13=832", "832/26=32" ]
Current State: 32:[44, 57, 64, 26], Operations: [] Exploring Operation: 57-44=13, Resulting Numbers: [64, 26, 13] Generated Node #2: [64, 26, 13] from Operation: 57-44=13 Current State: 32:[64, 26, 13], Operations: ['57-44=13'] Exploring Operation: 64*13=832, Resulting Numbers: [26, 832] Generated Node #3: [26, 832] from Operation: 64*13=832 Current State: 32:[26, 832], Operations: ['57-44=13', '64*13=832'] Exploring Operation: 832/26=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 1, 1, 59, 96 ]
39
[ "1+1=2", "96-59=37", "2+37=39" ]
Current State: 39:[1, 1, 59, 96], Operations: [] Exploring Operation: 1+1=2, Resulting Numbers: [59, 96, 2] Generated Node #2: [59, 96, 2] from Operation: 1+1=2 Current State: 39:[59, 96, 2], Operations: ['1+1=2'] Exploring Operation: 96-59=37, Resulting Numbers: [2, 37] Generated Node #3: [2, 37] from Operation: 96-59=37 Current State: 39:[2, 37], Operations: ['1+1=2', '96-59=37'] Exploring Operation: 2+37=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 10, 25, 6, 28 ]
42
[ "10+25=35", "35-28=7", "6*7=42" ]
Current State: 42:[10, 25, 6, 28], Operations: [] Exploring Operation: 10+25=35, Resulting Numbers: [6, 28, 35] Generated Node #2: [6, 28, 35] from Operation: 10+25=35 Current State: 42:[6, 28, 35], Operations: ['10+25=35'] Exploring Operation: 35-28=7, Resulting Numbers: [6, 7] Generated Node #3: [6, 7] from Operation: 35-28=7 Current State: 42:[6, 7], Operations: ['10+25=35', '35-28=7'] Exploring Operation: 6*7=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 24, 58, 60, 57 ]
69
[ "60-58=2", "24/2=12", "57+12=69" ]
Current State: 69:[24, 58, 60, 57], Operations: [] Exploring Operation: 60-58=2, Resulting Numbers: [24, 57, 2] Generated Node #2: [24, 57, 2] from Operation: 60-58=2 Current State: 69:[24, 57, 2], Operations: ['60-58=2'] Exploring Operation: 24/2=12, Resulting Numbers: [57, 12] Generated Node #3: [57, 12] from Operation: 24/2=12 Current State: 69:[57, 12], Operations: ['60-58=2', '24/2=12'] Exploring Operation: 57+12=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 4, 28, 84, 42 ]
30
[ "4+28=32", "84/42=2", "32-2=30" ]
Current State: 30:[4, 28, 84, 42], Operations: [] Exploring Operation: 4+28=32, Resulting Numbers: [84, 42, 32] Generated Node #2: [84, 42, 32] from Operation: 4+28=32 Current State: 30:[84, 42, 32], Operations: ['4+28=32'] Exploring Operation: 84/42=2, Resulting Numbers: [32, 2] Generated Node #3: [32, 2] from Operation: 84/42=2 Current State: 30:[32, 2], Operations: ['4+28=32', '84/42=2'] Exploring Operation: 32-2=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 19, 11, 76, 4 ]
48
[ "76/19=4", "11*4=44", "4+44=48" ]
Current State: 48:[19, 11, 76, 4], Operations: [] Exploring Operation: 76/19=4, Resulting Numbers: [11, 4, 4] Generated Node #2: [11, 4, 4] from Operation: 76/19=4 Current State: 48:[11, 4, 4], Operations: ['76/19=4'] Exploring Operation: 11*4=44, Resulting Numbers: [44] 44,48 equal: Goal Reached Exploring Operation: 4+44=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 53, 25, 39, 90 ]
27
[ "53+25=78", "90-39=51", "78-51=27" ]
Current State: 27:[53, 25, 39, 90], Operations: [] Exploring Operation: 53+25=78, Resulting Numbers: [39, 90, 78] Generated Node #2: [39, 90, 78] from Operation: 53+25=78 Current State: 27:[39, 90, 78], Operations: ['53+25=78'] Exploring Operation: 90-39=51, Resulting Numbers: [78, 51] Generated Node #3: [78, 51] from Operation: 90-39=51 Current State: 27:[78, 51], Operations: ['53+25=78', '90-39=51'] Exploring Operation: 78-51=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 45, 12, 13, 50 ]
94
[ "45+12=57", "50-13=37", "57+37=94" ]
Current State: 94:[45, 12, 13, 50], Operations: [] Exploring Operation: 45+12=57, Resulting Numbers: [13, 50, 57] Generated Node #2: [13, 50, 57] from Operation: 45+12=57 Current State: 94:[13, 50, 57], Operations: ['45+12=57'] Exploring Operation: 50-13=37, Resulting Numbers: [57, 37] Generated Node #3: [57, 37] from Operation: 50-13=37 Current State: 94:[57, 37], Operations: ['45+12=57', '50-13=37'] Exploring Operation: 57+37=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 75, 43, 67, 61 ]
38
[ "75-43=32", "67-61=6", "32+6=38" ]
Current State: 38:[75, 43, 67, 61], Operations: [] Exploring Operation: 75-43=32, Resulting Numbers: [67, 61, 32] Generated Node #2: [67, 61, 32] from Operation: 75-43=32 Current State: 38:[67, 61, 32], Operations: ['75-43=32'] Exploring Operation: 67-61=6, Resulting Numbers: [32, 6] Generated Node #3: [32, 6] from Operation: 67-61=6 Current State: 38:[32, 6], Operations: ['75-43=32', '67-61=6'] Exploring Operation: 32+6=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 15, 18, 53, 71 ]
21
[ "18-15=3", "71-53=18", "3+18=21" ]
Current State: 21:[15, 18, 53, 71], Operations: [] Exploring Operation: 18-15=3, Resulting Numbers: [53, 71, 3] Generated Node #2: [53, 71, 3] from Operation: 18-15=3 Current State: 21:[53, 71, 3], Operations: ['18-15=3'] Exploring Operation: 71-53=18, Resulting Numbers: [3, 18] Generated Node #3: [3, 18] from Operation: 71-53=18 Current State: 21:[3, 18], Operations: ['18-15=3', '71-53=18'] Exploring Operation: 3+18=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 37, 85, 5, 22 ]
75
[ "85-37=48", "5+22=27", "48+27=75" ]
Current State: 75:[37, 85, 5, 22], Operations: [] Exploring Operation: 85-37=48, Resulting Numbers: [5, 22, 48] Generated Node #2: [5, 22, 48] from Operation: 85-37=48 Current State: 75:[5, 22, 48], Operations: ['85-37=48'] Exploring Operation: 5+22=27, Resulting Numbers: [48, 27] Generated Node #3: [48, 27] from Operation: 5+22=27 Current State: 75:[48, 27], Operations: ['85-37=48', '5+22=27'] Exploring Operation: 48+27=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 33, 68, 41, 91 ]
72
[ "41+91=132", "132/33=4", "68+4=72" ]
Current State: 72:[33, 68, 41, 91], Operations: [] Exploring Operation: 41+91=132, Resulting Numbers: [33, 68, 132] Generated Node #2: [33, 68, 132] from Operation: 41+91=132 Current State: 72:[33, 68, 132], Operations: ['41+91=132'] Exploring Operation: 132/33=4, Resulting Numbers: [68, 4] Generated Node #3: [68, 4] from Operation: 132/33=4 Current State: 72:[68, 4], Operations: ['41+91=132', '132/33=4'] Exploring Operation: 68+4=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 97, 3, 14, 21 ]
59
[ "97-3=94", "14+21=35", "94-35=59" ]
Current State: 59:[97, 3, 14, 21], Operations: [] Exploring Operation: 97-3=94, Resulting Numbers: [14, 21, 94] Generated Node #2: [14, 21, 94] from Operation: 97-3=94 Current State: 59:[14, 21, 94], Operations: ['97-3=94'] Exploring Operation: 14+21=35, Resulting Numbers: [94, 35] Generated Node #3: [94, 35] from Operation: 14+21=35 Current State: 59:[94, 35], Operations: ['97-3=94', '14+21=35'] Exploring Operation: 94-35=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 89, 8, 93, 85 ]
53
[ "93-89=4", "8*4=32", "85-32=53" ]
Current State: 53:[89, 8, 93, 85], Operations: [] Exploring Operation: 93-89=4, Resulting Numbers: [8, 85, 4] Generated Node #2: [8, 85, 4] from Operation: 93-89=4 Current State: 53:[8, 85, 4], Operations: ['93-89=4'] Exploring Operation: 8*4=32, Resulting Numbers: [85, 32] Generated Node #3: [85, 32] from Operation: 8*4=32 Current State: 53:[85, 32], Operations: ['93-89=4', '8*4=32'] Exploring Operation: 85-32=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 4, 5, 40, 43 ]
12
[ "4+5=9", "43-40=3", "9+3=12" ]
Current State: 12:[4, 5, 40, 43], Operations: [] Exploring Operation: 4+5=9, Resulting Numbers: [40, 43, 9] Generated Node #2: [40, 43, 9] from Operation: 4+5=9 Current State: 12:[40, 43, 9], Operations: ['4+5=9'] Exploring Operation: 43-40=3, Resulting Numbers: [9, 3] Generated Node #3: [9, 3] from Operation: 43-40=3 Current State: 12:[9, 3], Operations: ['4+5=9', '43-40=3'] Exploring Operation: 9+3=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 47, 18, 2, 63 ]
50
[ "63-47=16", "2*16=32", "18+32=50" ]
Current State: 50:[47, 18, 2, 63], Operations: [] Exploring Operation: 63-47=16, Resulting Numbers: [18, 2, 16] Generated Node #2: [18, 2, 16] from Operation: 63-47=16 Current State: 50:[18, 2, 16], Operations: ['63-47=16'] Exploring Operation: 2*16=32, Resulting Numbers: [18, 32] Generated Node #3: [18, 32] from Operation: 2*16=32 Current State: 50:[18, 32], Operations: ['63-47=16', '2*16=32'] Exploring Operation: 18+32=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 30, 60, 47, 90 ]
92
[ "60/30=2", "90/2=45", "47+45=92" ]
Current State: 92:[30, 60, 47, 90], Operations: [] Exploring Operation: 60/30=2, Resulting Numbers: [47, 90, 2] Generated Node #2: [47, 90, 2] from Operation: 60/30=2 Current State: 92:[47, 90, 2], Operations: ['60/30=2'] Exploring Operation: 90/2=45, Resulting Numbers: [47, 45] Generated Node #3: [47, 45] from Operation: 90/2=45 Current State: 92:[47, 45], Operations: ['60/30=2', '90/2=45'] Exploring Operation: 47+45=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 6, 83, 10, 11 ]
14
[ "83-10=73", "11+73=84", "84/6=14" ]
Current State: 14:[6, 83, 10, 11], Operations: [] Exploring Operation: 83-10=73, Resulting Numbers: [6, 11, 73] Generated Node #2: [6, 11, 73] from Operation: 83-10=73 Current State: 14:[6, 11, 73], Operations: ['83-10=73'] Exploring Operation: 11+73=84, Resulting Numbers: [6, 84] Generated Node #3: [6, 84] from Operation: 11+73=84 Current State: 14:[6, 84], Operations: ['83-10=73', '11+73=84'] Exploring Operation: 84/6=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 14, 6, 25, 70 ]
95
[ "70/14=5", "25-6=19", "5*19=95" ]
Current State: 95:[14, 6, 25, 70], Operations: [] Exploring Operation: 70/14=5, Resulting Numbers: [6, 25, 5] Generated Node #2: [6, 25, 5] from Operation: 70/14=5 Current State: 95:[6, 25, 5], Operations: ['70/14=5'] Exploring Operation: 25-6=19, Resulting Numbers: [5, 19] Generated Node #3: [5, 19] from Operation: 25-6=19 Current State: 95:[5, 19], Operations: ['70/14=5', '25-6=19'] Exploring Operation: 5*19=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 54, 74, 39, 74 ]
15
[ "54+74=128", "39+74=113", "128-113=15" ]
Current State: 15:[54, 74, 39, 74], Operations: [] Exploring Operation: 54+74=128, Resulting Numbers: [39, 128] Generated Node #2: [39, 128] from Operation: 54+74=128 Current State: 15:[39, 128], Operations: ['54+74=128'] Exploring Operation: 39+74=113, Resulting Numbers: [128, 113] Generated Node #3: [128, 113] from Operation: 39+74=113 Current State: 15:[128, 113], Operations: ['54+74=128', '39+74=113'] Exploring Operation: 128-113=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 28, 58, 70, 44 ]
33
[ "58-44=14", "70/14=5", "28+5=33" ]
Current State: 33:[28, 58, 70, 44], Operations: [] Exploring Operation: 58-44=14, Resulting Numbers: [28, 70, 14] Generated Node #2: [28, 70, 14] from Operation: 58-44=14 Current State: 33:[28, 70, 14], Operations: ['58-44=14'] Exploring Operation: 70/14=5, Resulting Numbers: [28, 5] Generated Node #3: [28, 5] from Operation: 70/14=5 Current State: 33:[28, 5], Operations: ['58-44=14', '70/14=5'] Exploring Operation: 28+5=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 14, 98, 9, 94 ]
50
[ "98-94=4", "9*4=36", "14+36=50" ]
Current State: 50:[14, 98, 9, 94], Operations: [] Exploring Operation: 98-94=4, Resulting Numbers: [14, 9, 4] Generated Node #2: [14, 9, 4] from Operation: 98-94=4 Current State: 50:[14, 9, 4], Operations: ['98-94=4'] Exploring Operation: 9*4=36, Resulting Numbers: [14, 36] Generated Node #3: [14, 36] from Operation: 9*4=36 Current State: 50:[14, 36], Operations: ['98-94=4', '9*4=36'] Exploring Operation: 14+36=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 34, 57, 70, 17 ]
26
[ "34/17=2", "70-57=13", "2*13=26" ]
Current State: 26:[34, 57, 70, 17], Operations: [] Exploring Operation: 34/17=2, Resulting Numbers: [57, 70, 2] Generated Node #2: [57, 70, 2] from Operation: 34/17=2 Current State: 26:[57, 70, 2], Operations: ['34/17=2'] Exploring Operation: 70-57=13, Resulting Numbers: [2, 13] Generated Node #3: [2, 13] from Operation: 70-57=13 Current State: 26:[2, 13], Operations: ['34/17=2', '70-57=13'] Exploring Operation: 2*13=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 15, 8, 75, 45 ]
42
[ "75/15=5", "45-8=37", "5+37=42" ]
Current State: 42:[15, 8, 75, 45], Operations: [] Exploring Operation: 75/15=5, Resulting Numbers: [8, 45, 5] Generated Node #2: [8, 45, 5] from Operation: 75/15=5 Current State: 42:[8, 45, 5], Operations: ['75/15=5'] Exploring Operation: 45-8=37, Resulting Numbers: [5, 37] Generated Node #3: [5, 37] from Operation: 45-8=37 Current State: 42:[5, 37], Operations: ['75/15=5', '45-8=37'] Exploring Operation: 5+37=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 92, 48, 83, 2 ]
79
[ "92+83=175", "48*2=96", "175-96=79" ]
Current State: 79:[92, 48, 83, 2], Operations: [] Exploring Operation: 92+83=175, Resulting Numbers: [48, 2, 175] Generated Node #2: [48, 2, 175] from Operation: 92+83=175 Current State: 79:[48, 2, 175], Operations: ['92+83=175'] Exploring Operation: 48*2=96, Resulting Numbers: [175, 96] Generated Node #3: [175, 96] from Operation: 48*2=96 Current State: 79:[175, 96], Operations: ['92+83=175', '48*2=96'] Exploring Operation: 175-96=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 90, 74, 80, 18 ]
13
[ "90-74=16", "80/16=5", "18-5=13" ]
Current State: 13:[90, 74, 80, 18], Operations: [] Exploring Operation: 90-74=16, Resulting Numbers: [80, 18, 16] Generated Node #2: [80, 18, 16] from Operation: 90-74=16 Current State: 13:[80, 18, 16], Operations: ['90-74=16'] Exploring Operation: 80/16=5, Resulting Numbers: [18, 5] Generated Node #3: [18, 5] from Operation: 80/16=5 Current State: 13:[18, 5], Operations: ['90-74=16', '80/16=5'] Exploring Operation: 18-5=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 25, 27, 16, 31 ]
93
[ "25-16=9", "27*31=837", "837/9=93" ]
Current State: 93:[25, 27, 16, 31], Operations: [] Exploring Operation: 25-16=9, Resulting Numbers: [27, 31, 9] Generated Node #2: [27, 31, 9] from Operation: 25-16=9 Current State: 93:[27, 31, 9], Operations: ['25-16=9'] Exploring Operation: 27*31=837, Resulting Numbers: [9, 837] Generated Node #3: [9, 837] from Operation: 27*31=837 Current State: 93:[9, 837], Operations: ['25-16=9', '27*31=837'] Exploring Operation: 837/9=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 66, 85, 70, 71 ]
20
[ "85-66=19", "71-70=1", "19+1=20" ]
Current State: 20:[66, 85, 70, 71], Operations: [] Exploring Operation: 85-66=19, Resulting Numbers: [70, 71, 19] Generated Node #2: [70, 71, 19] from Operation: 85-66=19 Current State: 20:[70, 71, 19], Operations: ['85-66=19'] Exploring Operation: 71-70=1, Resulting Numbers: [19, 1] Generated Node #3: [19, 1] from Operation: 71-70=1 Current State: 20:[19, 1], Operations: ['85-66=19', '71-70=1'] Exploring Operation: 19+1=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 14, 31, 98, 18 ]
99
[ "31-14=17", "98+18=116", "116-17=99" ]
Current State: 99:[14, 31, 98, 18], Operations: [] Exploring Operation: 31-14=17, Resulting Numbers: [98, 18, 17] Generated Node #2: [98, 18, 17] from Operation: 31-14=17 Current State: 99:[98, 18, 17], Operations: ['31-14=17'] Exploring Operation: 98+18=116, Resulting Numbers: [17, 116] Generated Node #3: [17, 116] from Operation: 98+18=116 Current State: 99:[17, 116], Operations: ['31-14=17', '98+18=116'] Exploring Operation: 116-17=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 61, 2, 26, 4 ]
52
[ "61+4=65", "26/2=13", "65-13=52" ]
Current State: 52:[61, 2, 26, 4], Operations: [] Exploring Operation: 61+4=65, Resulting Numbers: [2, 26, 65] Generated Node #2: [2, 26, 65] from Operation: 61+4=65 Current State: 52:[2, 26, 65], Operations: ['61+4=65'] Exploring Operation: 26/2=13, Resulting Numbers: [65, 13] Generated Node #3: [65, 13] from Operation: 26/2=13 Current State: 52:[65, 13], Operations: ['61+4=65', '26/2=13'] Exploring Operation: 65-13=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 38, 30, 62, 8 ]
46
[ "38-30=8", "62-8=54", "54-8=46" ]
Current State: 46:[38, 30, 62, 8], Operations: [] Exploring Operation: 38-30=8, Resulting Numbers: [62, 8, 8] Generated Node #2: [62, 8, 8] from Operation: 38-30=8 Current State: 46:[62, 8, 8], Operations: ['38-30=8'] Exploring Operation: 62-8=54, Resulting Numbers: [54] 54,46 equal: Goal Reached Exploring Operation: 54-8=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 48, 18, 67, 47 ]
86
[ "48+18=66", "67-47=20", "66+20=86" ]
Current State: 86:[48, 18, 67, 47], Operations: [] Exploring Operation: 48+18=66, Resulting Numbers: [67, 47, 66] Generated Node #2: [67, 47, 66] from Operation: 48+18=66 Current State: 86:[67, 47, 66], Operations: ['48+18=66'] Exploring Operation: 67-47=20, Resulting Numbers: [66, 20] Generated Node #3: [66, 20] from Operation: 67-47=20 Current State: 86:[66, 20], Operations: ['48+18=66', '67-47=20'] Exploring Operation: 66+20=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 96, 81, 7, 74 ]
96
[ "96+81=177", "7+74=81", "177-81=96" ]
Current State: 96:[96, 81, 7, 74], Operations: [] Exploring Operation: 96+81=177, Resulting Numbers: [7, 74, 177] Generated Node #2: [7, 74, 177] from Operation: 96+81=177 Current State: 96:[7, 74, 177], Operations: ['96+81=177'] Exploring Operation: 7+74=81, Resulting Numbers: [177, 81] Generated Node #3: [177, 81] from Operation: 7+74=81 Current State: 96:[177, 81], Operations: ['96+81=177', '7+74=81'] Exploring Operation: 177-81=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 34, 21, 63, 26 ]
11
[ "34-26=8", "63/21=3", "8+3=11" ]
Current State: 11:[34, 21, 63, 26], Operations: [] Exploring Operation: 34-26=8, Resulting Numbers: [21, 63, 8] Generated Node #2: [21, 63, 8] from Operation: 34-26=8 Current State: 11:[21, 63, 8], Operations: ['34-26=8'] Exploring Operation: 63/21=3, Resulting Numbers: [8, 3] Generated Node #3: [8, 3] from Operation: 63/21=3 Current State: 11:[8, 3], Operations: ['34-26=8', '63/21=3'] Exploring Operation: 8+3=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 60, 85, 17, 97 ]
22
[ "97-85=12", "60/12=5", "17+5=22" ]
Current State: 22:[60, 85, 17, 97], Operations: [] Exploring Operation: 97-85=12, Resulting Numbers: [60, 17, 12] Generated Node #2: [60, 17, 12] from Operation: 97-85=12 Current State: 22:[60, 17, 12], Operations: ['97-85=12'] Exploring Operation: 60/12=5, Resulting Numbers: [17, 5] Generated Node #3: [17, 5] from Operation: 60/12=5 Current State: 22:[17, 5], Operations: ['97-85=12', '60/12=5'] Exploring Operation: 17+5=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 75, 57, 2, 19 ]
74
[ "75-57=18", "19+18=37", "2*37=74" ]
Current State: 74:[75, 57, 2, 19], Operations: [] Exploring Operation: 75-57=18, Resulting Numbers: [2, 19, 18] Generated Node #2: [2, 19, 18] from Operation: 75-57=18 Current State: 74:[2, 19, 18], Operations: ['75-57=18'] Exploring Operation: 19+18=37, Resulting Numbers: [2, 37] Generated Node #3: [2, 37] from Operation: 19+18=37 Current State: 74:[2, 37], Operations: ['75-57=18', '19+18=37'] Exploring Operation: 2*37=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 11, 47, 68, 79 ]
89
[ "11+47=58", "68+79=147", "147-58=89" ]
Current State: 89:[11, 47, 68, 79], Operations: [] Exploring Operation: 11+47=58, Resulting Numbers: [68, 79, 58] Generated Node #2: [68, 79, 58] from Operation: 11+47=58 Current State: 89:[68, 79, 58], Operations: ['11+47=58'] Exploring Operation: 68+79=147, Resulting Numbers: [58, 147] Generated Node #3: [58, 147] from Operation: 68+79=147 Current State: 89:[58, 147], Operations: ['11+47=58', '68+79=147'] Exploring Operation: 147-58=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 20, 16, 98, 8 ]
50
[ "98-20=78", "16*8=128", "128-78=50" ]
Current State: 50:[20, 16, 98, 8], Operations: [] Exploring Operation: 98-20=78, Resulting Numbers: [16, 8, 78] Generated Node #2: [16, 8, 78] from Operation: 98-20=78 Current State: 50:[16, 8, 78], Operations: ['98-20=78'] Exploring Operation: 16*8=128, Resulting Numbers: [78, 128] Generated Node #3: [78, 128] from Operation: 16*8=128 Current State: 50:[78, 128], Operations: ['98-20=78', '16*8=128'] Exploring Operation: 128-78=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 87, 45, 39, 60 ]
36
[ "87-39=48", "45*48=2160", "2160/60=36" ]
Current State: 36:[87, 45, 39, 60], Operations: [] Exploring Operation: 87-39=48, Resulting Numbers: [45, 60, 48] Generated Node #2: [45, 60, 48] from Operation: 87-39=48 Current State: 36:[45, 60, 48], Operations: ['87-39=48'] Exploring Operation: 45*48=2160, Resulting Numbers: [60, 2160] Generated Node #3: [60, 2160] from Operation: 45*48=2160 Current State: 36:[60, 2160], Operations: ['87-39=48', '45*48=2160'] Exploring Operation: 2160/60=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 14, 79, 11, 11 ]
92
[ "14+79=93", "11/11=1", "93-1=92" ]
Current State: 92:[14, 79, 11, 11], Operations: [] Exploring Operation: 14+79=93, Resulting Numbers: [11, 11, 93] Generated Node #2: [11, 11, 93] from Operation: 14+79=93 Current State: 92:[11, 11, 93], Operations: ['14+79=93'] Exploring Operation: 11/11=1, Resulting Numbers: [93, 1] Generated Node #3: [93, 1] from Operation: 11/11=1 Current State: 92:[93, 1], Operations: ['14+79=93', '11/11=1'] Exploring Operation: 93-1=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 70, 54, 5, 38 ]
59
[ "70-54=16", "5+38=43", "16+43=59" ]
Current State: 59:[70, 54, 5, 38], Operations: [] Exploring Operation: 70-54=16, Resulting Numbers: [5, 38, 16] Generated Node #2: [5, 38, 16] from Operation: 70-54=16 Current State: 59:[5, 38, 16], Operations: ['70-54=16'] Exploring Operation: 5+38=43, Resulting Numbers: [16, 43] Generated Node #3: [16, 43] from Operation: 5+38=43 Current State: 59:[16, 43], Operations: ['70-54=16', '5+38=43'] Exploring Operation: 16+43=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 2, 69, 53, 21 ]
82
[ "69+53=122", "122/2=61", "21+61=82" ]
Current State: 82:[2, 69, 53, 21], Operations: [] Exploring Operation: 69+53=122, Resulting Numbers: [2, 21, 122] Generated Node #2: [2, 21, 122] from Operation: 69+53=122 Current State: 82:[2, 21, 122], Operations: ['69+53=122'] Exploring Operation: 122/2=61, Resulting Numbers: [21, 61] Generated Node #3: [21, 61] from Operation: 122/2=61 Current State: 82:[21, 61], Operations: ['69+53=122', '122/2=61'] Exploring Operation: 21+61=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 34, 3, 62, 66 ]
98
[ "34*3=102", "66-62=4", "102-4=98" ]
Current State: 98:[34, 3, 62, 66], Operations: [] Exploring Operation: 34*3=102, Resulting Numbers: [62, 66, 102] Generated Node #2: [62, 66, 102] from Operation: 34*3=102 Current State: 98:[62, 66, 102], Operations: ['34*3=102'] Exploring Operation: 66-62=4, Resulting Numbers: [102, 4] Generated Node #3: [102, 4] from Operation: 66-62=4 Current State: 98:[102, 4], Operations: ['34*3=102', '66-62=4'] Exploring Operation: 102-4=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 50, 1, 37, 9 ]
22
[ "50*1=50", "37-9=28", "50-28=22" ]
Current State: 22:[50, 1, 37, 9], Operations: [] Exploring Operation: 50*1=50, Resulting Numbers: [37, 9, 50] Generated Node #2: [37, 9, 50] from Operation: 50*1=50 Current State: 22:[37, 9, 50], Operations: ['50*1=50'] Exploring Operation: 37-9=28, Resulting Numbers: [50, 28] Generated Node #3: [50, 28] from Operation: 37-9=28 Current State: 22:[50, 28], Operations: ['50*1=50', '37-9=28'] Exploring Operation: 50-28=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 60, 35, 7, 36 ]
24
[ "60*7=420", "420/35=12", "36-12=24" ]
Current State: 24:[60, 35, 7, 36], Operations: [] Exploring Operation: 60*7=420, Resulting Numbers: [35, 36, 420] Generated Node #2: [35, 36, 420] from Operation: 60*7=420 Current State: 24:[35, 36, 420], Operations: ['60*7=420'] Exploring Operation: 420/35=12, Resulting Numbers: [36, 12] Generated Node #3: [36, 12] from Operation: 420/35=12 Current State: 24:[36, 12], Operations: ['60*7=420', '420/35=12'] Exploring Operation: 36-12=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 89, 4, 31, 14 ]
21
[ "89+14=103", "4*31=124", "124-103=21" ]
Current State: 21:[89, 4, 31, 14], Operations: [] Exploring Operation: 89+14=103, Resulting Numbers: [4, 31, 103] Generated Node #2: [4, 31, 103] from Operation: 89+14=103 Current State: 21:[4, 31, 103], Operations: ['89+14=103'] Exploring Operation: 4*31=124, Resulting Numbers: [103, 124] Generated Node #3: [103, 124] from Operation: 4*31=124 Current State: 21:[103, 124], Operations: ['89+14=103', '4*31=124'] Exploring Operation: 124-103=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 25, 29, 75, 2 ]
93
[ "75/25=3", "29+2=31", "3*31=93" ]
Current State: 93:[25, 29, 75, 2], Operations: [] Exploring Operation: 75/25=3, Resulting Numbers: [29, 2, 3] Generated Node #2: [29, 2, 3] from Operation: 75/25=3 Current State: 93:[29, 2, 3], Operations: ['75/25=3'] Exploring Operation: 29+2=31, Resulting Numbers: [3, 31] Generated Node #3: [3, 31] from Operation: 29+2=31 Current State: 93:[3, 31], Operations: ['75/25=3', '29+2=31'] Exploring Operation: 3*31=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 30, 33, 84, 42 ]
36
[ "33*84=2772", "2772/42=66", "66-30=36" ]
Current State: 36:[30, 33, 84, 42], Operations: [] Exploring Operation: 33*84=2772, Resulting Numbers: [30, 42, 2772] Generated Node #2: [30, 42, 2772] from Operation: 33*84=2772 Current State: 36:[30, 42, 2772], Operations: ['33*84=2772'] Exploring Operation: 2772/42=66, Resulting Numbers: [30, 66] Generated Node #3: [30, 66] from Operation: 2772/42=66 Current State: 36:[30, 66], Operations: ['33*84=2772', '2772/42=66'] Exploring Operation: 66-30=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 24, 61, 72, 44 ]
51
[ "72/24=3", "61-44=17", "3*17=51" ]
Current State: 51:[24, 61, 72, 44], Operations: [] Exploring Operation: 72/24=3, Resulting Numbers: [61, 44, 3] Generated Node #2: [61, 44, 3] from Operation: 72/24=3 Current State: 51:[61, 44, 3], Operations: ['72/24=3'] Exploring Operation: 61-44=17, Resulting Numbers: [3, 17] Generated Node #3: [3, 17] from Operation: 61-44=17 Current State: 51:[3, 17], Operations: ['72/24=3', '61-44=17'] Exploring Operation: 3*17=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 21, 48, 3, 17 ]
64
[ "48-21=27", "3*27=81", "81-17=64" ]
Current State: 64:[21, 48, 3, 17], Operations: [] Exploring Operation: 48-21=27, Resulting Numbers: [3, 17, 27] Generated Node #2: [3, 17, 27] from Operation: 48-21=27 Current State: 64:[3, 17, 27], Operations: ['48-21=27'] Exploring Operation: 3*27=81, Resulting Numbers: [17, 81] Generated Node #3: [17, 81] from Operation: 3*27=81 Current State: 64:[17, 81], Operations: ['48-21=27', '3*27=81'] Exploring Operation: 81-17=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 52, 6, 46, 44 ]
94
[ "52-44=8", "6*8=48", "46+48=94" ]
Current State: 94:[52, 6, 46, 44], Operations: [] Exploring Operation: 52-44=8, Resulting Numbers: [6, 46, 8] Generated Node #2: [6, 46, 8] from Operation: 52-44=8 Current State: 94:[6, 46, 8], Operations: ['52-44=8'] Exploring Operation: 6*8=48, Resulting Numbers: [46, 48] Generated Node #3: [46, 48] from Operation: 6*8=48 Current State: 94:[46, 48], Operations: ['52-44=8', '6*8=48'] Exploring Operation: 46+48=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 83, 24, 72, 20 ]
23
[ "72/24=3", "20*3=60", "83-60=23" ]
Current State: 23:[83, 24, 72, 20], Operations: [] Exploring Operation: 72/24=3, Resulting Numbers: [83, 20, 3] Generated Node #2: [83, 20, 3] from Operation: 72/24=3 Current State: 23:[83, 20, 3], Operations: ['72/24=3'] Exploring Operation: 20*3=60, Resulting Numbers: [83, 60] Generated Node #3: [83, 60] from Operation: 20*3=60 Current State: 23:[83, 60], Operations: ['72/24=3', '20*3=60'] Exploring Operation: 83-60=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 60, 56, 4, 84 ]
55
[ "60+56=116", "116/4=29", "84-29=55" ]
Current State: 55:[60, 56, 4, 84], Operations: [] Exploring Operation: 60+56=116, Resulting Numbers: [4, 84, 116] Generated Node #2: [4, 84, 116] from Operation: 60+56=116 Current State: 55:[4, 84, 116], Operations: ['60+56=116'] Exploring Operation: 116/4=29, Resulting Numbers: [84, 29] Generated Node #3: [84, 29] from Operation: 116/4=29 Current State: 55:[84, 29], Operations: ['60+56=116', '116/4=29'] Exploring Operation: 84-29=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 32, 72, 48, 44 ]
68
[ "44-32=12", "48/12=4", "72-4=68" ]
Current State: 68:[32, 72, 48, 44], Operations: [] Exploring Operation: 44-32=12, Resulting Numbers: [72, 48, 12] Generated Node #2: [72, 48, 12] from Operation: 44-32=12 Current State: 68:[72, 48, 12], Operations: ['44-32=12'] Exploring Operation: 48/12=4, Resulting Numbers: [72, 4] Generated Node #3: [72, 4] from Operation: 48/12=4 Current State: 68:[72, 4], Operations: ['44-32=12', '48/12=4'] Exploring Operation: 72-4=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 77, 30, 79, 1 ]
32
[ "77-30=47", "79*1=79", "79-47=32" ]
Current State: 32:[77, 30, 79, 1], Operations: [] Exploring Operation: 77-30=47, Resulting Numbers: [79, 1, 47] Generated Node #2: [79, 1, 47] from Operation: 77-30=47 Current State: 32:[79, 1, 47], Operations: ['77-30=47'] Exploring Operation: 79*1=79, Resulting Numbers: [47, 79] Generated Node #3: [47, 79] from Operation: 79*1=79 Current State: 32:[47, 79], Operations: ['77-30=47', '79*1=79'] Exploring Operation: 79-47=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 70, 27, 36, 73 ]
12
[ "70+27=97", "36+73=109", "109-97=12" ]
Current State: 12:[70, 27, 36, 73], Operations: [] Exploring Operation: 70+27=97, Resulting Numbers: [36, 73, 97] Generated Node #2: [36, 73, 97] from Operation: 70+27=97 Current State: 12:[36, 73, 97], Operations: ['70+27=97'] Exploring Operation: 36+73=109, Resulting Numbers: [97, 109] Generated Node #3: [97, 109] from Operation: 36+73=109 Current State: 12:[97, 109], Operations: ['70+27=97', '36+73=109'] Exploring Operation: 109-97=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 77, 93, 29, 53 ]
40
[ "93-77=16", "53-29=24", "16+24=40" ]
Current State: 40:[77, 93, 29, 53], Operations: [] Exploring Operation: 93-77=16, Resulting Numbers: [29, 53, 16] Generated Node #2: [29, 53, 16] from Operation: 93-77=16 Current State: 40:[29, 53, 16], Operations: ['93-77=16'] Exploring Operation: 53-29=24, Resulting Numbers: [16, 24] Generated Node #3: [16, 24] from Operation: 53-29=24 Current State: 40:[16, 24], Operations: ['93-77=16', '53-29=24'] Exploring Operation: 16+24=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 25, 97, 12, 53 ]
47
[ "97-25=72", "72/12=6", "53-6=47" ]
Current State: 47:[25, 97, 12, 53], Operations: [] Exploring Operation: 97-25=72, Resulting Numbers: [12, 53, 72] Generated Node #2: [12, 53, 72] from Operation: 97-25=72 Current State: 47:[12, 53, 72], Operations: ['97-25=72'] Exploring Operation: 72/12=6, Resulting Numbers: [53, 6] Generated Node #3: [53, 6] from Operation: 72/12=6 Current State: 47:[53, 6], Operations: ['97-25=72', '72/12=6'] Exploring Operation: 53-6=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 34, 88, 97, 78 ]
73
[ "88-34=54", "97-78=19", "54+19=73" ]
Current State: 73:[34, 88, 97, 78], Operations: [] Exploring Operation: 88-34=54, Resulting Numbers: [97, 78, 54] Generated Node #2: [97, 78, 54] from Operation: 88-34=54 Current State: 73:[97, 78, 54], Operations: ['88-34=54'] Exploring Operation: 97-78=19, Resulting Numbers: [54, 19] Generated Node #3: [54, 19] from Operation: 97-78=19 Current State: 73:[54, 19], Operations: ['88-34=54', '97-78=19'] Exploring Operation: 54+19=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 4, 83, 50, 75 ]
27
[ "83-50=33", "75+33=108", "108/4=27" ]
Current State: 27:[4, 83, 50, 75], Operations: [] Exploring Operation: 83-50=33, Resulting Numbers: [4, 75, 33] Generated Node #2: [4, 75, 33] from Operation: 83-50=33 Current State: 27:[4, 75, 33], Operations: ['83-50=33'] Exploring Operation: 75+33=108, Resulting Numbers: [4, 108] Generated Node #3: [4, 108] from Operation: 75+33=108 Current State: 27:[4, 108], Operations: ['83-50=33', '75+33=108'] Exploring Operation: 108/4=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 85, 70, 66, 30 ]
51
[ "85-70=15", "66-30=36", "15+36=51" ]
Current State: 51:[85, 70, 66, 30], Operations: [] Exploring Operation: 85-70=15, Resulting Numbers: [66, 30, 15] Generated Node #2: [66, 30, 15] from Operation: 85-70=15 Current State: 51:[66, 30, 15], Operations: ['85-70=15'] Exploring Operation: 66-30=36, Resulting Numbers: [15, 36] Generated Node #3: [15, 36] from Operation: 66-30=36 Current State: 51:[15, 36], Operations: ['85-70=15', '66-30=36'] Exploring Operation: 15+36=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 56, 46, 80, 3 ]
30
[ "56-46=10", "80+10=90", "90/3=30" ]
Current State: 30:[56, 46, 80, 3], Operations: [] Exploring Operation: 56-46=10, Resulting Numbers: [80, 3, 10] Generated Node #2: [80, 3, 10] from Operation: 56-46=10 Current State: 30:[80, 3, 10], Operations: ['56-46=10'] Exploring Operation: 80+10=90, Resulting Numbers: [3, 90] Generated Node #3: [3, 90] from Operation: 80+10=90 Current State: 30:[3, 90], Operations: ['56-46=10', '80+10=90'] Exploring Operation: 90/3=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 5, 26, 20, 10 ]
20
[ "20/5=4", "26-10=16", "4+16=20" ]
Current State: 20:[5, 26, 20, 10], Operations: [] Exploring Operation: 20/5=4, Resulting Numbers: [26, 10, 4] Generated Node #2: [26, 10, 4] from Operation: 20/5=4 Current State: 20:[26, 10, 4], Operations: ['20/5=4'] Exploring Operation: 26-10=16, Resulting Numbers: [4, 16] Generated Node #3: [4, 16] from Operation: 26-10=16 Current State: 20:[4, 16], Operations: ['20/5=4', '26-10=16'] Exploring Operation: 4+16=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 73, 49, 76, 51 ]
49
[ "73-49=24", "76-51=25", "24+25=49" ]
Current State: 49:[73, 49, 76, 51], Operations: [] Exploring Operation: 73-49=24, Resulting Numbers: [76, 51, 24] Generated Node #2: [76, 51, 24] from Operation: 73-49=24 Current State: 49:[76, 51, 24], Operations: ['73-49=24'] Exploring Operation: 76-51=25, Resulting Numbers: [24, 25] Generated Node #3: [24, 25] from Operation: 76-51=25 Current State: 49:[24, 25], Operations: ['73-49=24', '76-51=25'] Exploring Operation: 24+25=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 9, 2, 8, 81 ]
28
[ "81-9=72", "72/2=36", "36-8=28" ]
Current State: 28:[9, 2, 8, 81], Operations: [] Exploring Operation: 81-9=72, Resulting Numbers: [2, 8, 72] Generated Node #2: [2, 8, 72] from Operation: 81-9=72 Current State: 28:[2, 8, 72], Operations: ['81-9=72'] Exploring Operation: 72/2=36, Resulting Numbers: [8, 36] Generated Node #3: [8, 36] from Operation: 72/2=36 Current State: 28:[8, 36], Operations: ['81-9=72', '72/2=36'] Exploring Operation: 36-8=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 30, 97, 5, 99 ]
27
[ "97-30=67", "99-5=94", "94-67=27" ]
Current State: 27:[30, 97, 5, 99], Operations: [] Exploring Operation: 97-30=67, Resulting Numbers: [5, 99, 67] Generated Node #2: [5, 99, 67] from Operation: 97-30=67 Current State: 27:[5, 99, 67], Operations: ['97-30=67'] Exploring Operation: 99-5=94, Resulting Numbers: [67, 94] Generated Node #3: [67, 94] from Operation: 99-5=94 Current State: 27:[67, 94], Operations: ['97-30=67', '99-5=94'] Exploring Operation: 94-67=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 75, 66, 60, 48 ]
83
[ "66-60=6", "48/6=8", "75+8=83" ]
Current State: 83:[75, 66, 60, 48], Operations: [] Exploring Operation: 66-60=6, Resulting Numbers: [75, 48, 6] Generated Node #2: [75, 48, 6] from Operation: 66-60=6 Current State: 83:[75, 48, 6], Operations: ['66-60=6'] Exploring Operation: 48/6=8, Resulting Numbers: [75, 8] Generated Node #3: [75, 8] from Operation: 48/6=8 Current State: 83:[75, 8], Operations: ['66-60=6', '48/6=8'] Exploring Operation: 75+8=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 6, 99, 40, 34 ]
100
[ "40-6=34", "34/34=1", "99+1=100" ]
Current State: 100:[6, 99, 40, 34], Operations: [] Exploring Operation: 40-6=34, Resulting Numbers: [99, 34, 34] Generated Node #2: [99, 34, 34] from Operation: 40-6=34 Current State: 100:[99, 34, 34], Operations: ['40-6=34'] Exploring Operation: 34/34=1, Resulting Numbers: [99, 1] Generated Node #3: [99, 1] from Operation: 34/34=1 Current State: 100:[99, 1], Operations: ['40-6=34', '34/34=1'] Exploring Operation: 99+1=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 13, 39, 15, 1 ]
45
[ "39/13=3", "15*1=15", "3*15=45" ]
Current State: 45:[13, 39, 15, 1], Operations: [] Exploring Operation: 39/13=3, Resulting Numbers: [15, 1, 3] Generated Node #2: [15, 1, 3] from Operation: 39/13=3 Current State: 45:[15, 1, 3], Operations: ['39/13=3'] Exploring Operation: 15*1=15, Resulting Numbers: [3, 15] Generated Node #3: [3, 15] from Operation: 15*1=15 Current State: 45:[3, 15], Operations: ['39/13=3', '15*1=15'] Exploring Operation: 3*15=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 82, 17, 70, 5 ]
20
[ "82*5=410", "410-70=340", "340/17=20" ]
Current State: 20:[82, 17, 70, 5], Operations: [] Exploring Operation: 82*5=410, Resulting Numbers: [17, 70, 410] Generated Node #2: [17, 70, 410] from Operation: 82*5=410 Current State: 20:[17, 70, 410], Operations: ['82*5=410'] Exploring Operation: 410-70=340, Resulting Numbers: [17, 340] Generated Node #3: [17, 340] from Operation: 410-70=340 Current State: 20:[17, 340], Operations: ['82*5=410', '410-70=340'] Exploring Operation: 340/17=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 45, 87, 68, 83 ]
84
[ "83-68=15", "45/15=3", "87-3=84" ]
Current State: 84:[45, 87, 68, 83], Operations: [] Exploring Operation: 83-68=15, Resulting Numbers: [45, 87, 15] Generated Node #2: [45, 87, 15] from Operation: 83-68=15 Current State: 84:[45, 87, 15], Operations: ['83-68=15'] Exploring Operation: 45/15=3, Resulting Numbers: [87, 3] Generated Node #3: [87, 3] from Operation: 45/15=3 Current State: 84:[87, 3], Operations: ['83-68=15', '45/15=3'] Exploring Operation: 87-3=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 12, 4, 47, 55 ]
92
[ "55-47=8", "12*8=96", "96-4=92" ]
Current State: 92:[12, 4, 47, 55], Operations: [] Exploring Operation: 55-47=8, Resulting Numbers: [12, 4, 8] Generated Node #2: [12, 4, 8] from Operation: 55-47=8 Current State: 92:[12, 4, 8], Operations: ['55-47=8'] Exploring Operation: 12*8=96, Resulting Numbers: [4, 96] Generated Node #3: [4, 96] from Operation: 12*8=96 Current State: 92:[4, 96], Operations: ['55-47=8', '12*8=96'] Exploring Operation: 96-4=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 15, 91, 89, 12 ]
39
[ "91-89=2", "12*2=24", "15+24=39" ]
Current State: 39:[15, 91, 89, 12], Operations: [] Exploring Operation: 91-89=2, Resulting Numbers: [15, 12, 2] Generated Node #2: [15, 12, 2] from Operation: 91-89=2 Current State: 39:[15, 12, 2], Operations: ['91-89=2'] Exploring Operation: 12*2=24, Resulting Numbers: [15, 24] Generated Node #3: [15, 24] from Operation: 12*2=24 Current State: 39:[15, 24], Operations: ['91-89=2', '12*2=24'] Exploring Operation: 15+24=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 42, 10, 87, 27 ]
48
[ "87-27=60", "60/10=6", "42+6=48" ]
Current State: 48:[42, 10, 87, 27], Operations: [] Exploring Operation: 87-27=60, Resulting Numbers: [42, 10, 60] Generated Node #2: [42, 10, 60] from Operation: 87-27=60 Current State: 48:[42, 10, 60], Operations: ['87-27=60'] Exploring Operation: 60/10=6, Resulting Numbers: [42, 6] Generated Node #3: [42, 6] from Operation: 60/10=6 Current State: 48:[42, 6], Operations: ['87-27=60', '60/10=6'] Exploring Operation: 42+6=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 5, 64, 34, 40 ]
86
[ "64-40=24", "5*24=120", "120-34=86" ]
Current State: 86:[5, 64, 34, 40], Operations: [] Exploring Operation: 64-40=24, Resulting Numbers: [5, 34, 24] Generated Node #2: [5, 34, 24] from Operation: 64-40=24 Current State: 86:[5, 34, 24], Operations: ['64-40=24'] Exploring Operation: 5*24=120, Resulting Numbers: [34, 120] Generated Node #3: [34, 120] from Operation: 5*24=120 Current State: 86:[34, 120], Operations: ['64-40=24', '5*24=120'] Exploring Operation: 120-34=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 50, 53, 66, 23 ]
86
[ "53-50=3", "66+23=89", "89-3=86" ]
Current State: 86:[50, 53, 66, 23], Operations: [] Exploring Operation: 53-50=3, Resulting Numbers: [66, 23, 3] Generated Node #2: [66, 23, 3] from Operation: 53-50=3 Current State: 86:[66, 23, 3], Operations: ['53-50=3'] Exploring Operation: 66+23=89, Resulting Numbers: [3, 89] Generated Node #3: [3, 89] from Operation: 66+23=89 Current State: 86:[3, 89], Operations: ['53-50=3', '66+23=89'] Exploring Operation: 89-3=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 73, 11, 40, 37 ]
59
[ "73-11=62", "40-37=3", "62-3=59" ]
Current State: 59:[73, 11, 40, 37], Operations: [] Exploring Operation: 73-11=62, Resulting Numbers: [40, 37, 62] Generated Node #2: [40, 37, 62] from Operation: 73-11=62 Current State: 59:[40, 37, 62], Operations: ['73-11=62'] Exploring Operation: 40-37=3, Resulting Numbers: [62, 3] Generated Node #3: [62, 3] from Operation: 40-37=3 Current State: 59:[62, 3], Operations: ['73-11=62', '40-37=3'] Exploring Operation: 62-3=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4