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
[ 39, 43, 14, 57 ]
11
[ "39+43=82", "14+57=71", "82-71=11" ]
Current State: 11:[39, 43, 14, 57], Operations: [] Exploring Operation: 39+43=82, Resulting Numbers: [14, 57, 82] Generated Node #2: [14, 57, 82] from Operation: 39+43=82 Current State: 11:[14, 57, 82], Operations: ['39+43=82'] Exploring Operation: 14+57=71, Resulting Numbers: [82, 71] Generated Node #3: [82, 71] from Operation: 14+57=71 Current State: 11:[82, 71], Operations: ['39+43=82', '14+57=71'] Exploring Operation: 82-71=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 22, 86, 4, 14 ]
28
[ "22*4=88", "88-86=2", "14*2=28" ]
Current State: 28:[22, 86, 4, 14], Operations: [] Exploring Operation: 22*4=88, Resulting Numbers: [86, 14, 88] Generated Node #2: [86, 14, 88] from Operation: 22*4=88 Current State: 28:[86, 14, 88], Operations: ['22*4=88'] Exploring Operation: 88-86=2, Resulting Numbers: [14, 2] Generated Node #3: [14, 2] from Operation: 88-86=2 Current State: 28:[14, 2], Operations: ['22*4=88', '88-86=2'] Exploring Operation: 14*2=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 35, 69, 25, 8 ]
72
[ "69-35=34", "34-25=9", "8*9=72" ]
Current State: 72:[35, 69, 25, 8], Operations: [] Exploring Operation: 69-35=34, Resulting Numbers: [25, 8, 34] Generated Node #2: [25, 8, 34] from Operation: 69-35=34 Current State: 72:[25, 8, 34], Operations: ['69-35=34'] Exploring Operation: 34-25=9, Resulting Numbers: [8, 9] Generated Node #3: [8, 9] from Operation: 34-25=9 Current State: 72:[8, 9], Operations: ['69-35=34', '34-25=9'] Exploring Operation: 8*9=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 32, 10, 23, 16 ]
56
[ "32*23=736", "736/16=46", "10+46=56" ]
Current State: 56:[32, 10, 23, 16], Operations: [] Exploring Operation: 32*23=736, Resulting Numbers: [10, 16, 736] Generated Node #2: [10, 16, 736] from Operation: 32*23=736 Current State: 56:[10, 16, 736], Operations: ['32*23=736'] Exploring Operation: 736/16=46, Resulting Numbers: [10, 46] Generated Node #3: [10, 46] from Operation: 736/16=46 Current State: 56:[10, 46], Operations: ['32*23=736', '736/16=46'] Exploring Operation: 10+46=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 50, 27, 21, 12 ]
86
[ "50+27=77", "21-12=9", "77+9=86" ]
Current State: 86:[50, 27, 21, 12], Operations: [] Exploring Operation: 50+27=77, Resulting Numbers: [21, 12, 77] Generated Node #2: [21, 12, 77] from Operation: 50+27=77 Current State: 86:[21, 12, 77], Operations: ['50+27=77'] Exploring Operation: 21-12=9, Resulting Numbers: [77, 9] Generated Node #3: [77, 9] from Operation: 21-12=9 Current State: 86:[77, 9], Operations: ['50+27=77', '21-12=9'] Exploring Operation: 77+9=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 20, 12, 47, 17 ]
43
[ "20-17=3", "12/3=4", "47-4=43" ]
Current State: 43:[20, 12, 47, 17], Operations: [] Exploring Operation: 20-17=3, Resulting Numbers: [12, 47, 3] Generated Node #2: [12, 47, 3] from Operation: 20-17=3 Current State: 43:[12, 47, 3], Operations: ['20-17=3'] Exploring Operation: 12/3=4, Resulting Numbers: [47, 4] Generated Node #3: [47, 4] from Operation: 12/3=4 Current State: 43:[47, 4], Operations: ['20-17=3', '12/3=4'] Exploring Operation: 47-4=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 22, 19, 16, 76 ]
89
[ "22-19=3", "16+76=92", "92-3=89" ]
Current State: 89:[22, 19, 16, 76], Operations: [] Exploring Operation: 22-19=3, Resulting Numbers: [16, 76, 3] Generated Node #2: [16, 76, 3] from Operation: 22-19=3 Current State: 89:[16, 76, 3], Operations: ['22-19=3'] Exploring Operation: 16+76=92, Resulting Numbers: [3, 92] Generated Node #3: [3, 92] from Operation: 16+76=92 Current State: 89:[3, 92], Operations: ['22-19=3', '16+76=92'] Exploring Operation: 92-3=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 22, 50, 59, 4 ]
91
[ "50-22=28", "59+4=63", "28+63=91" ]
Current State: 91:[22, 50, 59, 4], Operations: [] Exploring Operation: 50-22=28, Resulting Numbers: [59, 4, 28] Generated Node #2: [59, 4, 28] from Operation: 50-22=28 Current State: 91:[59, 4, 28], Operations: ['50-22=28'] Exploring Operation: 59+4=63, Resulting Numbers: [28, 63] Generated Node #3: [28, 63] from Operation: 59+4=63 Current State: 91:[28, 63], Operations: ['50-22=28', '59+4=63'] Exploring Operation: 28+63=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 19, 30, 64, 72 ]
57
[ "19+30=49", "72-64=8", "49+8=57" ]
Current State: 57:[19, 30, 64, 72], Operations: [] Exploring Operation: 19+30=49, Resulting Numbers: [64, 72, 49] Generated Node #2: [64, 72, 49] from Operation: 19+30=49 Current State: 57:[64, 72, 49], Operations: ['19+30=49'] Exploring Operation: 72-64=8, Resulting Numbers: [49, 8] Generated Node #3: [49, 8] from Operation: 72-64=8 Current State: 57:[49, 8], Operations: ['19+30=49', '72-64=8'] Exploring Operation: 49+8=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 27, 56, 20, 2 ]
16
[ "27-20=7", "56*2=112", "112/7=16" ]
Current State: 16:[27, 56, 20, 2], Operations: [] Exploring Operation: 27-20=7, Resulting Numbers: [56, 2, 7] Generated Node #2: [56, 2, 7] from Operation: 27-20=7 Current State: 16:[56, 2, 7], Operations: ['27-20=7'] Exploring Operation: 56*2=112, Resulting Numbers: [7, 112] Generated Node #3: [7, 112] from Operation: 56*2=112 Current State: 16:[7, 112], Operations: ['27-20=7', '56*2=112'] Exploring Operation: 112/7=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 25, 43, 91, 1 ]
73
[ "43-25=18", "91*1=91", "91-18=73" ]
Current State: 73:[25, 43, 91, 1], Operations: [] Exploring Operation: 43-25=18, Resulting Numbers: [91, 1, 18] Generated Node #2: [91, 1, 18] from Operation: 43-25=18 Current State: 73:[91, 1, 18], Operations: ['43-25=18'] Exploring Operation: 91*1=91, Resulting Numbers: [18, 91] Generated Node #3: [18, 91] from Operation: 91*1=91 Current State: 73:[18, 91], Operations: ['43-25=18', '91*1=91'] Exploring Operation: 91-18=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 29, 51, 77, 64 ]
58
[ "51+77=128", "29*128=3712", "3712/64=58" ]
Current State: 58:[29, 51, 77, 64], Operations: [] Exploring Operation: 51+77=128, Resulting Numbers: [29, 64, 128] Generated Node #2: [29, 64, 128] from Operation: 51+77=128 Current State: 58:[29, 64, 128], Operations: ['51+77=128'] Exploring Operation: 29*128=3712, Resulting Numbers: [64, 3712] Generated Node #3: [64, 3712] from Operation: 29*128=3712 Current State: 58:[64, 3712], Operations: ['51+77=128', '29*128=3712'] Exploring Operation: 3712/64=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 87, 46, 2, 6 ]
45
[ "87-46=41", "6-2=4", "41+4=45" ]
Current State: 45:[87, 46, 2, 6], Operations: [] Exploring Operation: 87-46=41, Resulting Numbers: [2, 6, 41] Generated Node #2: [2, 6, 41] from Operation: 87-46=41 Current State: 45:[2, 6, 41], Operations: ['87-46=41'] Exploring Operation: 6-2=4, Resulting Numbers: [41, 4] Generated Node #3: [41, 4] from Operation: 6-2=4 Current State: 45:[41, 4], Operations: ['87-46=41', '6-2=4'] Exploring Operation: 41+4=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 6, 12, 12, 43 ]
38
[ "43-6=37", "12/12=1", "37+1=38" ]
Current State: 38:[6, 12, 12, 43], Operations: [] Exploring Operation: 43-6=37, Resulting Numbers: [12, 12, 37] Generated Node #2: [12, 12, 37] from Operation: 43-6=37 Current State: 38:[12, 12, 37], Operations: ['43-6=37'] Exploring Operation: 12/12=1, Resulting Numbers: [37, 1] Generated Node #3: [37, 1] from Operation: 12/12=1 Current State: 38:[37, 1], Operations: ['43-6=37', '12/12=1'] Exploring Operation: 37+1=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 49, 5, 3, 25 ]
43
[ "49+5=54", "54/3=18", "25+18=43" ]
Current State: 43:[49, 5, 3, 25], Operations: [] Exploring Operation: 49+5=54, Resulting Numbers: [3, 25, 54] Generated Node #2: [3, 25, 54] from Operation: 49+5=54 Current State: 43:[3, 25, 54], Operations: ['49+5=54'] Exploring Operation: 54/3=18, Resulting Numbers: [25, 18] Generated Node #3: [25, 18] from Operation: 54/3=18 Current State: 43:[25, 18], Operations: ['49+5=54', '54/3=18'] Exploring Operation: 25+18=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 2, 83, 73, 58 ]
35
[ "2*83=166", "73+58=131", "166-131=35" ]
Current State: 35:[2, 83, 73, 58], Operations: [] Exploring Operation: 2*83=166, Resulting Numbers: [73, 58, 166] Generated Node #2: [73, 58, 166] from Operation: 2*83=166 Current State: 35:[73, 58, 166], Operations: ['2*83=166'] Exploring Operation: 73+58=131, Resulting Numbers: [166, 131] Generated Node #3: [166, 131] from Operation: 73+58=131 Current State: 35:[166, 131], Operations: ['2*83=166', '73+58=131'] Exploring Operation: 166-131=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 6, 23, 15, 45 ]
59
[ "6+23=29", "45-15=30", "29+30=59" ]
Current State: 59:[6, 23, 15, 45], Operations: [] Exploring Operation: 6+23=29, Resulting Numbers: [15, 45, 29] Generated Node #2: [15, 45, 29] from Operation: 6+23=29 Current State: 59:[15, 45, 29], Operations: ['6+23=29'] Exploring Operation: 45-15=30, Resulting Numbers: [29, 30] Generated Node #3: [29, 30] from Operation: 45-15=30 Current State: 59:[29, 30], Operations: ['6+23=29', '45-15=30'] Exploring Operation: 29+30=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 99, 14, 45, 56 ]
28
[ "99-45=54", "56-54=2", "14*2=28" ]
Current State: 28:[99, 14, 45, 56], Operations: [] Exploring Operation: 99-45=54, Resulting Numbers: [14, 56, 54] Generated Node #2: [14, 56, 54] from Operation: 99-45=54 Current State: 28:[14, 56, 54], Operations: ['99-45=54'] Exploring Operation: 56-54=2, Resulting Numbers: [14, 2] Generated Node #3: [14, 2] from Operation: 56-54=2 Current State: 28:[14, 2], Operations: ['99-45=54', '56-54=2'] Exploring Operation: 14*2=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 50, 77, 6, 46 ]
87
[ "50+77=127", "46-6=40", "127-40=87" ]
Current State: 87:[50, 77, 6, 46], Operations: [] Exploring Operation: 50+77=127, Resulting Numbers: [6, 46, 127] Generated Node #2: [6, 46, 127] from Operation: 50+77=127 Current State: 87:[6, 46, 127], Operations: ['50+77=127'] Exploring Operation: 46-6=40, Resulting Numbers: [127, 40] Generated Node #3: [127, 40] from Operation: 46-6=40 Current State: 87:[127, 40], Operations: ['50+77=127', '46-6=40'] Exploring Operation: 127-40=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 88, 54, 74, 24 ]
44
[ "88+54=142", "74+24=98", "142-98=44" ]
Current State: 44:[88, 54, 74, 24], Operations: [] Exploring Operation: 88+54=142, Resulting Numbers: [74, 24, 142] Generated Node #2: [74, 24, 142] from Operation: 88+54=142 Current State: 44:[74, 24, 142], Operations: ['88+54=142'] Exploring Operation: 74+24=98, Resulting Numbers: [142, 98] Generated Node #3: [142, 98] from Operation: 74+24=98 Current State: 44:[142, 98], Operations: ['88+54=142', '74+24=98'] Exploring Operation: 142-98=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 50, 83, 28, 82 ]
21
[ "83-50=33", "82-28=54", "54-33=21" ]
Current State: 21:[50, 83, 28, 82], Operations: [] Exploring Operation: 83-50=33, Resulting Numbers: [28, 82, 33] Generated Node #2: [28, 82, 33] from Operation: 83-50=33 Current State: 21:[28, 82, 33], Operations: ['83-50=33'] Exploring Operation: 82-28=54, Resulting Numbers: [33, 54] Generated Node #3: [33, 54] from Operation: 82-28=54 Current State: 21:[33, 54], Operations: ['83-50=33', '82-28=54'] Exploring Operation: 54-33=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 72, 4, 13, 12 ]
69
[ "72-4=68", "13-12=1", "68+1=69" ]
Current State: 69:[72, 4, 13, 12], Operations: [] Exploring Operation: 72-4=68, Resulting Numbers: [13, 12, 68] Generated Node #2: [13, 12, 68] from Operation: 72-4=68 Current State: 69:[13, 12, 68], Operations: ['72-4=68'] Exploring Operation: 13-12=1, Resulting Numbers: [68, 1] Generated Node #3: [68, 1] from Operation: 13-12=1 Current State: 69:[68, 1], Operations: ['72-4=68', '13-12=1'] Exploring Operation: 68+1=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 10, 23, 2, 81 ]
68
[ "10*23=230", "2*81=162", "230-162=68" ]
Current State: 68:[10, 23, 2, 81], Operations: [] Exploring Operation: 10*23=230, Resulting Numbers: [2, 81, 230] Generated Node #2: [2, 81, 230] from Operation: 10*23=230 Current State: 68:[2, 81, 230], Operations: ['10*23=230'] Exploring Operation: 2*81=162, Resulting Numbers: [230, 162] Generated Node #3: [230, 162] from Operation: 2*81=162 Current State: 68:[230, 162], Operations: ['10*23=230', '2*81=162'] Exploring Operation: 230-162=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 22, 18, 51, 18 ]
37
[ "22-18=4", "51-18=33", "4+33=37" ]
Current State: 37:[22, 18, 51, 18], Operations: [] Exploring Operation: 22-18=4, Resulting Numbers: [51, 4] Generated Node #2: [51, 4] from Operation: 22-18=4 Current State: 37:[51, 4], Operations: ['22-18=4'] Exploring Operation: 51-18=33, Resulting Numbers: [4, 33] Generated Node #3: [4, 33] from Operation: 51-18=33 Current State: 37:[4, 33], Operations: ['22-18=4', '51-18=33'] Exploring Operation: 4+33=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 59, 66, 97, 69 ]
80
[ "69-66=3", "59*3=177", "177-97=80" ]
Current State: 80:[59, 66, 97, 69], Operations: [] Exploring Operation: 69-66=3, Resulting Numbers: [59, 97, 3] Generated Node #2: [59, 97, 3] from Operation: 69-66=3 Current State: 80:[59, 97, 3], Operations: ['69-66=3'] Exploring Operation: 59*3=177, Resulting Numbers: [97, 177] Generated Node #3: [97, 177] from Operation: 59*3=177 Current State: 80:[97, 177], Operations: ['69-66=3', '59*3=177'] Exploring Operation: 177-97=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 53, 72, 6, 86 ]
45
[ "53+72=125", "86-6=80", "125-80=45" ]
Current State: 45:[53, 72, 6, 86], Operations: [] Exploring Operation: 53+72=125, Resulting Numbers: [6, 86, 125] Generated Node #2: [6, 86, 125] from Operation: 53+72=125 Current State: 45:[6, 86, 125], Operations: ['53+72=125'] Exploring Operation: 86-6=80, Resulting Numbers: [125, 80] Generated Node #3: [125, 80] from Operation: 86-6=80 Current State: 45:[125, 80], Operations: ['53+72=125', '86-6=80'] Exploring Operation: 125-80=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 47, 90, 43, 64 ]
65
[ "90-47=43", "43/43=1", "64+1=65" ]
Current State: 65:[47, 90, 43, 64], Operations: [] Exploring Operation: 90-47=43, Resulting Numbers: [43, 64, 43] Generated Node #2: [43, 64, 43] from Operation: 90-47=43 Current State: 65:[43, 64, 43], Operations: ['90-47=43'] Exploring Operation: 43/43=1, Resulting Numbers: [64, 1] Generated Node #3: [64, 1] from Operation: 43/43=1 Current State: 65:[64, 1], Operations: ['90-47=43', '43/43=1'] Exploring Operation: 64+1=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 14, 90, 5, 25 ]
45
[ "14*5=70", "90+25=115", "115-70=45" ]
Current State: 45:[14, 90, 5, 25], Operations: [] Exploring Operation: 14*5=70, Resulting Numbers: [90, 25, 70] Generated Node #2: [90, 25, 70] from Operation: 14*5=70 Current State: 45:[90, 25, 70], Operations: ['14*5=70'] Exploring Operation: 90+25=115, Resulting Numbers: [70, 115] Generated Node #3: [70, 115] from Operation: 90+25=115 Current State: 45:[70, 115], Operations: ['14*5=70', '90+25=115'] Exploring Operation: 115-70=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 39, 77, 20, 2 ]
68
[ "39+77=116", "20+116=136", "136/2=68" ]
Current State: 68:[39, 77, 20, 2], Operations: [] Exploring Operation: 39+77=116, Resulting Numbers: [20, 2, 116] Generated Node #2: [20, 2, 116] from Operation: 39+77=116 Current State: 68:[20, 2, 116], Operations: ['39+77=116'] Exploring Operation: 20+116=136, Resulting Numbers: [2, 136] Generated Node #3: [2, 136] from Operation: 20+116=136 Current State: 68:[2, 136], Operations: ['39+77=116', '20+116=136'] Exploring Operation: 136/2=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 3, 19, 15, 69 ]
47
[ "15+69=84", "84/3=28", "19+28=47" ]
Current State: 47:[3, 19, 15, 69], Operations: [] Exploring Operation: 15+69=84, Resulting Numbers: [3, 19, 84] Generated Node #2: [3, 19, 84] from Operation: 15+69=84 Current State: 47:[3, 19, 84], Operations: ['15+69=84'] Exploring Operation: 84/3=28, Resulting Numbers: [19, 28] Generated Node #3: [19, 28] from Operation: 84/3=28 Current State: 47:[19, 28], Operations: ['15+69=84', '84/3=28'] Exploring Operation: 19+28=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 72, 76, 38, 86 ]
44
[ "76-72=4", "86-38=48", "48-4=44" ]
Current State: 44:[72, 76, 38, 86], Operations: [] Exploring Operation: 76-72=4, Resulting Numbers: [38, 86, 4] Generated Node #2: [38, 86, 4] from Operation: 76-72=4 Current State: 44:[38, 86, 4], Operations: ['76-72=4'] Exploring Operation: 86-38=48, Resulting Numbers: [4, 48] Generated Node #3: [4, 48] from Operation: 86-38=48 Current State: 44:[4, 48], Operations: ['76-72=4', '86-38=48'] Exploring Operation: 48-4=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 61, 40, 92, 80 ]
89
[ "61+40=101", "92-80=12", "101-12=89" ]
Current State: 89:[61, 40, 92, 80], Operations: [] Exploring Operation: 61+40=101, Resulting Numbers: [92, 80, 101] Generated Node #2: [92, 80, 101] from Operation: 61+40=101 Current State: 89:[92, 80, 101], Operations: ['61+40=101'] Exploring Operation: 92-80=12, Resulting Numbers: [101, 12] Generated Node #3: [101, 12] from Operation: 92-80=12 Current State: 89:[101, 12], Operations: ['61+40=101', '92-80=12'] Exploring Operation: 101-12=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 33, 93, 8, 56 ]
12
[ "93-33=60", "56-8=48", "60-48=12" ]
Current State: 12:[33, 93, 8, 56], Operations: [] Exploring Operation: 93-33=60, Resulting Numbers: [8, 56, 60] Generated Node #2: [8, 56, 60] from Operation: 93-33=60 Current State: 12:[8, 56, 60], Operations: ['93-33=60'] Exploring Operation: 56-8=48, Resulting Numbers: [60, 48] Generated Node #3: [60, 48] from Operation: 56-8=48 Current State: 12:[60, 48], Operations: ['93-33=60', '56-8=48'] Exploring Operation: 60-48=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 39, 98, 21, 70 ]
37
[ "70-21=49", "98/49=2", "39-2=37" ]
Current State: 37:[39, 98, 21, 70], Operations: [] Exploring Operation: 70-21=49, Resulting Numbers: [39, 98, 49] Generated Node #2: [39, 98, 49] from Operation: 70-21=49 Current State: 37:[39, 98, 49], Operations: ['70-21=49'] Exploring Operation: 98/49=2, Resulting Numbers: [39, 2] Generated Node #3: [39, 2] from Operation: 98/49=2 Current State: 37:[39, 2], Operations: ['70-21=49', '98/49=2'] Exploring Operation: 39-2=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 33, 60, 23, 8 ]
32
[ "60-33=27", "27-23=4", "8*4=32" ]
Current State: 32:[33, 60, 23, 8], Operations: [] Exploring Operation: 60-33=27, Resulting Numbers: [23, 8, 27] Generated Node #2: [23, 8, 27] from Operation: 60-33=27 Current State: 32:[23, 8, 27], Operations: ['60-33=27'] Exploring Operation: 27-23=4, Resulting Numbers: [8, 4] Generated Node #3: [8, 4] from Operation: 27-23=4 Current State: 32:[8, 4], Operations: ['60-33=27', '27-23=4'] Exploring Operation: 8*4=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 59, 82, 39, 11 ]
73
[ "82-59=23", "39+11=50", "23+50=73" ]
Current State: 73:[59, 82, 39, 11], Operations: [] Exploring Operation: 82-59=23, Resulting Numbers: [39, 11, 23] Generated Node #2: [39, 11, 23] from Operation: 82-59=23 Current State: 73:[39, 11, 23], Operations: ['82-59=23'] Exploring Operation: 39+11=50, Resulting Numbers: [23, 50] Generated Node #3: [23, 50] from Operation: 39+11=50 Current State: 73:[23, 50], Operations: ['82-59=23', '39+11=50'] Exploring Operation: 23+50=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 34, 79, 87, 54 ]
79
[ "87-34=53", "54-53=1", "79*1=79" ]
Current State: 79:[34, 79, 87, 54], Operations: [] Exploring Operation: 87-34=53, Resulting Numbers: [79, 54, 53] Generated Node #2: [79, 54, 53] from Operation: 87-34=53 Current State: 79:[79, 54, 53], Operations: ['87-34=53'] Exploring Operation: 54-53=1, Resulting Numbers: [79, 1] Generated Node #3: [79, 1] from Operation: 54-53=1 Current State: 79:[79, 1], Operations: ['87-34=53', '54-53=1'] Exploring Operation: 79*1=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 61, 44, 84, 20 ]
25
[ "61+44=105", "20*105=2100", "2100/84=25" ]
Current State: 25:[61, 44, 84, 20], Operations: [] Exploring Operation: 61+44=105, Resulting Numbers: [84, 20, 105] Generated Node #2: [84, 20, 105] from Operation: 61+44=105 Current State: 25:[84, 20, 105], Operations: ['61+44=105'] Exploring Operation: 20*105=2100, Resulting Numbers: [84, 2100] Generated Node #3: [84, 2100] from Operation: 20*105=2100 Current State: 25:[84, 2100], Operations: ['61+44=105', '20*105=2100'] Exploring Operation: 2100/84=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 89, 2, 38, 25 ]
77
[ "89+38=127", "2*25=50", "127-50=77" ]
Current State: 77:[89, 2, 38, 25], Operations: [] Exploring Operation: 89+38=127, Resulting Numbers: [2, 25, 127] Generated Node #2: [2, 25, 127] from Operation: 89+38=127 Current State: 77:[2, 25, 127], Operations: ['89+38=127'] Exploring Operation: 2*25=50, Resulting Numbers: [127, 50] Generated Node #3: [127, 50] from Operation: 2*25=50 Current State: 77:[127, 50], Operations: ['89+38=127', '2*25=50'] Exploring Operation: 127-50=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 35, 81, 78, 8 ]
30
[ "35+81=116", "78+8=86", "116-86=30" ]
Current State: 30:[35, 81, 78, 8], Operations: [] Exploring Operation: 35+81=116, Resulting Numbers: [78, 8, 116] Generated Node #2: [78, 8, 116] from Operation: 35+81=116 Current State: 30:[78, 8, 116], Operations: ['35+81=116'] Exploring Operation: 78+8=86, Resulting Numbers: [116, 86] Generated Node #3: [116, 86] from Operation: 78+8=86 Current State: 30:[116, 86], Operations: ['35+81=116', '78+8=86'] Exploring Operation: 116-86=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 27, 35, 62, 12 ]
93
[ "35-27=8", "62*12=744", "744/8=93" ]
Current State: 93:[27, 35, 62, 12], Operations: [] Exploring Operation: 35-27=8, Resulting Numbers: [62, 12, 8] Generated Node #2: [62, 12, 8] from Operation: 35-27=8 Current State: 93:[62, 12, 8], Operations: ['35-27=8'] Exploring Operation: 62*12=744, Resulting Numbers: [8, 744] Generated Node #3: [8, 744] from Operation: 62*12=744 Current State: 93:[8, 744], Operations: ['35-27=8', '62*12=744'] Exploring Operation: 744/8=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 73, 85, 55, 26 ]
17
[ "85-73=12", "55-26=29", "29-12=17" ]
Current State: 17:[73, 85, 55, 26], Operations: [] Exploring Operation: 85-73=12, Resulting Numbers: [55, 26, 12] Generated Node #2: [55, 26, 12] from Operation: 85-73=12 Current State: 17:[55, 26, 12], Operations: ['85-73=12'] Exploring Operation: 55-26=29, Resulting Numbers: [12, 29] Generated Node #3: [12, 29] from Operation: 55-26=29 Current State: 17:[12, 29], Operations: ['85-73=12', '55-26=29'] Exploring Operation: 29-12=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 64, 13, 19, 4 ]
96
[ "64/4=16", "19-13=6", "16*6=96" ]
Current State: 96:[64, 13, 19, 4], Operations: [] Exploring Operation: 64/4=16, Resulting Numbers: [13, 19, 16] Generated Node #2: [13, 19, 16] from Operation: 64/4=16 Current State: 96:[13, 19, 16], Operations: ['64/4=16'] Exploring Operation: 19-13=6, Resulting Numbers: [16, 6] Generated Node #3: [16, 6] from Operation: 19-13=6 Current State: 96:[16, 6], Operations: ['64/4=16', '19-13=6'] Exploring Operation: 16*6=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 38, 16, 6, 30 ]
64
[ "38-30=8", "6*8=48", "16+48=64" ]
Current State: 64:[38, 16, 6, 30], Operations: [] Exploring Operation: 38-30=8, Resulting Numbers: [16, 6, 8] Generated Node #2: [16, 6, 8] from Operation: 38-30=8 Current State: 64:[16, 6, 8], Operations: ['38-30=8'] Exploring Operation: 6*8=48, Resulting Numbers: [16, 48] Generated Node #3: [16, 48] from Operation: 6*8=48 Current State: 64:[16, 48], Operations: ['38-30=8', '6*8=48'] Exploring Operation: 16+48=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 90, 12, 5, 74 ]
92
[ "90-74=16", "5*16=80", "12+80=92" ]
Current State: 92:[90, 12, 5, 74], Operations: [] Exploring Operation: 90-74=16, Resulting Numbers: [12, 5, 16] Generated Node #2: [12, 5, 16] from Operation: 90-74=16 Current State: 92:[12, 5, 16], Operations: ['90-74=16'] Exploring Operation: 5*16=80, Resulting Numbers: [12, 80] Generated Node #3: [12, 80] from Operation: 5*16=80 Current State: 92:[12, 80], Operations: ['90-74=16', '5*16=80'] Exploring Operation: 12+80=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 19, 49, 39, 77 ]
48
[ "19+49=68", "39+77=116", "116-68=48" ]
Current State: 48:[19, 49, 39, 77], Operations: [] Exploring Operation: 19+49=68, Resulting Numbers: [39, 77, 68] Generated Node #2: [39, 77, 68] from Operation: 19+49=68 Current State: 48:[39, 77, 68], Operations: ['19+49=68'] Exploring Operation: 39+77=116, Resulting Numbers: [68, 116] Generated Node #3: [68, 116] from Operation: 39+77=116 Current State: 48:[68, 116], Operations: ['19+49=68', '39+77=116'] Exploring Operation: 116-68=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 89, 99, 25, 18 ]
53
[ "99-89=10", "25+18=43", "10+43=53" ]
Current State: 53:[89, 99, 25, 18], Operations: [] Exploring Operation: 99-89=10, Resulting Numbers: [25, 18, 10] Generated Node #2: [25, 18, 10] from Operation: 99-89=10 Current State: 53:[25, 18, 10], Operations: ['99-89=10'] Exploring Operation: 25+18=43, Resulting Numbers: [10, 43] Generated Node #3: [10, 43] from Operation: 25+18=43 Current State: 53:[10, 43], Operations: ['99-89=10', '25+18=43'] Exploring Operation: 10+43=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 87, 89, 94, 16 ]
86
[ "89-87=2", "16/2=8", "94-8=86" ]
Current State: 86:[87, 89, 94, 16], Operations: [] Exploring Operation: 89-87=2, Resulting Numbers: [94, 16, 2] Generated Node #2: [94, 16, 2] from Operation: 89-87=2 Current State: 86:[94, 16, 2], Operations: ['89-87=2'] Exploring Operation: 16/2=8, Resulting Numbers: [94, 8] Generated Node #3: [94, 8] from Operation: 16/2=8 Current State: 86:[94, 8], Operations: ['89-87=2', '16/2=8'] Exploring Operation: 94-8=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 89, 45, 99, 58 ]
23
[ "89+45=134", "99+58=157", "157-134=23" ]
Current State: 23:[89, 45, 99, 58], Operations: [] Exploring Operation: 89+45=134, Resulting Numbers: [99, 58, 134] Generated Node #2: [99, 58, 134] from Operation: 89+45=134 Current State: 23:[99, 58, 134], Operations: ['89+45=134'] Exploring Operation: 99+58=157, Resulting Numbers: [134, 157] Generated Node #3: [134, 157] from Operation: 99+58=157 Current State: 23:[134, 157], Operations: ['89+45=134', '99+58=157'] Exploring Operation: 157-134=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 31, 83, 54, 45 ]
15
[ "31+83=114", "54+45=99", "114-99=15" ]
Current State: 15:[31, 83, 54, 45], Operations: [] Exploring Operation: 31+83=114, Resulting Numbers: [54, 45, 114] Generated Node #2: [54, 45, 114] from Operation: 31+83=114 Current State: 15:[54, 45, 114], Operations: ['31+83=114'] Exploring Operation: 54+45=99, Resulting Numbers: [114, 99] Generated Node #3: [114, 99] from Operation: 54+45=99 Current State: 15:[114, 99], Operations: ['31+83=114', '54+45=99'] Exploring Operation: 114-99=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 85, 9, 2, 85 ]
12
[ "85/85=1", "9+2=11", "1+11=12" ]
Current State: 12:[85, 9, 2, 85], Operations: [] Exploring Operation: 85/85=1, Resulting Numbers: [9, 2, 1] Generated Node #2: [9, 2, 1] from Operation: 85/85=1 Current State: 12:[9, 2, 1], Operations: ['85/85=1'] Exploring Operation: 9+2=11, Resulting Numbers: [1, 11] Generated Node #3: [1, 11] from Operation: 9+2=11 Current State: 12:[1, 11], Operations: ['85/85=1', '9+2=11'] Exploring Operation: 1+11=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 14, 26, 9, 52 ]
48
[ "14*9=126", "26+52=78", "126-78=48" ]
Current State: 48:[14, 26, 9, 52], Operations: [] Exploring Operation: 14*9=126, Resulting Numbers: [26, 52, 126] Generated Node #2: [26, 52, 126] from Operation: 14*9=126 Current State: 48:[26, 52, 126], Operations: ['14*9=126'] Exploring Operation: 26+52=78, Resulting Numbers: [126, 78] Generated Node #3: [126, 78] from Operation: 26+52=78 Current State: 48:[126, 78], Operations: ['14*9=126', '26+52=78'] Exploring Operation: 126-78=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 49, 98, 45, 34 ]
38
[ "98-49=49", "45-34=11", "49-11=38" ]
Current State: 38:[49, 98, 45, 34], Operations: [] Exploring Operation: 98-49=49, Resulting Numbers: [45, 34, 49] Generated Node #2: [45, 34, 49] from Operation: 98-49=49 Current State: 38:[45, 34, 49], Operations: ['98-49=49'] Exploring Operation: 45-34=11, Resulting Numbers: [49, 11] Generated Node #3: [49, 11] from Operation: 45-34=11 Current State: 38:[49, 11], Operations: ['98-49=49', '45-34=11'] Exploring Operation: 49-11=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 30, 58, 13, 90 ]
74
[ "90/30=3", "58+13=71", "3+71=74" ]
Current State: 74:[30, 58, 13, 90], Operations: [] Exploring Operation: 90/30=3, Resulting Numbers: [58, 13, 3] Generated Node #2: [58, 13, 3] from Operation: 90/30=3 Current State: 74:[58, 13, 3], Operations: ['90/30=3'] Exploring Operation: 58+13=71, Resulting Numbers: [3, 71] Generated Node #3: [3, 71] from Operation: 58+13=71 Current State: 74:[3, 71], Operations: ['90/30=3', '58+13=71'] Exploring Operation: 3+71=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 38, 94, 2, 82 ]
73
[ "38+82=120", "94/2=47", "120-47=73" ]
Current State: 73:[38, 94, 2, 82], Operations: [] Exploring Operation: 38+82=120, Resulting Numbers: [94, 2, 120] Generated Node #2: [94, 2, 120] from Operation: 38+82=120 Current State: 73:[94, 2, 120], Operations: ['38+82=120'] Exploring Operation: 94/2=47, Resulting Numbers: [120, 47] Generated Node #3: [120, 47] from Operation: 94/2=47 Current State: 73:[120, 47], Operations: ['38+82=120', '94/2=47'] Exploring Operation: 120-47=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 46, 85, 17, 4 ]
31
[ "46-17=29", "4*29=116", "116-85=31" ]
Current State: 31:[46, 85, 17, 4], Operations: [] Exploring Operation: 46-17=29, Resulting Numbers: [85, 4, 29] Generated Node #2: [85, 4, 29] from Operation: 46-17=29 Current State: 31:[85, 4, 29], Operations: ['46-17=29'] Exploring Operation: 4*29=116, Resulting Numbers: [85, 116] Generated Node #3: [85, 116] from Operation: 4*29=116 Current State: 31:[85, 116], Operations: ['46-17=29', '4*29=116'] Exploring Operation: 116-85=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 11, 18, 4, 3 ]
58
[ "11+3=14", "18*4=72", "72-14=58" ]
Current State: 58:[11, 18, 4, 3], Operations: [] Exploring Operation: 11+3=14, Resulting Numbers: [18, 4, 14] Generated Node #2: [18, 4, 14] from Operation: 11+3=14 Current State: 58:[18, 4, 14], Operations: ['11+3=14'] Exploring Operation: 18*4=72, Resulting Numbers: [14, 72] Generated Node #3: [14, 72] from Operation: 18*4=72 Current State: 58:[14, 72], Operations: ['11+3=14', '18*4=72'] Exploring Operation: 72-14=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 6, 73, 8, 11 ]
81
[ "6+8=14", "11*14=154", "154-73=81" ]
Current State: 81:[6, 73, 8, 11], Operations: [] Exploring Operation: 6+8=14, Resulting Numbers: [73, 11, 14] Generated Node #2: [73, 11, 14] from Operation: 6+8=14 Current State: 81:[73, 11, 14], Operations: ['6+8=14'] Exploring Operation: 11*14=154, Resulting Numbers: [73, 154] Generated Node #3: [73, 154] from Operation: 11*14=154 Current State: 81:[73, 154], Operations: ['6+8=14', '11*14=154'] Exploring Operation: 154-73=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 95, 76, 82, 69 ]
91
[ "95-82=13", "76-69=7", "13*7=91" ]
Current State: 91:[95, 76, 82, 69], Operations: [] Exploring Operation: 95-82=13, Resulting Numbers: [76, 69, 13] Generated Node #2: [76, 69, 13] from Operation: 95-82=13 Current State: 91:[76, 69, 13], Operations: ['95-82=13'] Exploring Operation: 76-69=7, Resulting Numbers: [13, 7] Generated Node #3: [13, 7] from Operation: 76-69=7 Current State: 91:[13, 7], Operations: ['95-82=13', '76-69=7'] Exploring Operation: 13*7=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 14, 20, 76, 26 ]
30
[ "76-20=56", "56/14=4", "26+4=30" ]
Current State: 30:[14, 20, 76, 26], Operations: [] Exploring Operation: 76-20=56, Resulting Numbers: [14, 26, 56] Generated Node #2: [14, 26, 56] from Operation: 76-20=56 Current State: 30:[14, 26, 56], Operations: ['76-20=56'] Exploring Operation: 56/14=4, Resulting Numbers: [26, 4] Generated Node #3: [26, 4] from Operation: 56/14=4 Current State: 30:[26, 4], Operations: ['76-20=56', '56/14=4'] Exploring Operation: 26+4=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 46, 46, 63, 82 ]
63
[ "46-46=0", "82*0=0", "63+0=63" ]
Current State: 63:[46, 46, 63, 82], Operations: [] Exploring Operation: 46-46=0, Resulting Numbers: [63, 82, 0] Generated Node #2: [63, 82, 0] from Operation: 46-46=0 Current State: 63:[63, 82, 0], Operations: ['46-46=0'] Exploring Operation: 82*0=0, Resulting Numbers: [63, 0] Generated Node #3: [63, 0] from Operation: 82*0=0 Current State: 63:[63, 0], Operations: ['46-46=0', '82*0=0'] Exploring Operation: 63+0=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 83, 98, 69, 19 ]
26
[ "83-69=14", "98/14=7", "19+7=26" ]
Current State: 26:[83, 98, 69, 19], Operations: [] Exploring Operation: 83-69=14, Resulting Numbers: [98, 19, 14] Generated Node #2: [98, 19, 14] from Operation: 83-69=14 Current State: 26:[98, 19, 14], Operations: ['83-69=14'] Exploring Operation: 98/14=7, Resulting Numbers: [19, 7] Generated Node #3: [19, 7] from Operation: 98/14=7 Current State: 26:[19, 7], Operations: ['83-69=14', '98/14=7'] Exploring Operation: 19+7=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 27, 99, 94, 15 ]
39
[ "99*15=1485", "1485/27=55", "94-55=39" ]
Current State: 39:[27, 99, 94, 15], Operations: [] Exploring Operation: 99*15=1485, Resulting Numbers: [27, 94, 1485] Generated Node #2: [27, 94, 1485] from Operation: 99*15=1485 Current State: 39:[27, 94, 1485], Operations: ['99*15=1485'] Exploring Operation: 1485/27=55, Resulting Numbers: [94, 55] Generated Node #3: [94, 55] from Operation: 1485/27=55 Current State: 39:[94, 55], Operations: ['99*15=1485', '1485/27=55'] Exploring Operation: 94-55=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 52, 3, 31, 57 ]
23
[ "52-3=49", "57-31=26", "49-26=23" ]
Current State: 23:[52, 3, 31, 57], Operations: [] Exploring Operation: 52-3=49, Resulting Numbers: [31, 57, 49] Generated Node #2: [31, 57, 49] from Operation: 52-3=49 Current State: 23:[31, 57, 49], Operations: ['52-3=49'] Exploring Operation: 57-31=26, Resulting Numbers: [49, 26] Generated Node #3: [49, 26] from Operation: 57-31=26 Current State: 23:[49, 26], Operations: ['52-3=49', '57-31=26'] Exploring Operation: 49-26=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 29, 84, 14, 64 ]
23
[ "84-29=55", "14+64=78", "78-55=23" ]
Current State: 23:[29, 84, 14, 64], Operations: [] Exploring Operation: 84-29=55, Resulting Numbers: [14, 64, 55] Generated Node #2: [14, 64, 55] from Operation: 84-29=55 Current State: 23:[14, 64, 55], Operations: ['84-29=55'] Exploring Operation: 14+64=78, Resulting Numbers: [55, 78] Generated Node #3: [55, 78] from Operation: 14+64=78 Current State: 23:[55, 78], Operations: ['84-29=55', '14+64=78'] Exploring Operation: 78-55=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 1, 28, 28, 40 ]
42
[ "1+40=41", "28/28=1", "41+1=42" ]
Current State: 42:[1, 28, 28, 40], Operations: [] Exploring Operation: 1+40=41, Resulting Numbers: [28, 28, 41] Generated Node #2: [28, 28, 41] from Operation: 1+40=41 Current State: 42:[28, 28, 41], Operations: ['1+40=41'] Exploring Operation: 28/28=1, Resulting Numbers: [41, 1] Generated Node #3: [41, 1] from Operation: 28/28=1 Current State: 42:[41, 1], Operations: ['1+40=41', '28/28=1'] Exploring Operation: 41+1=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 79, 86, 40, 79 ]
86
[ "79-79=0", "40*0=0", "86+0=86" ]
Current State: 86:[79, 86, 40, 79], Operations: [] Exploring Operation: 79-79=0, Resulting Numbers: [86, 40, 0] Generated Node #2: [86, 40, 0] from Operation: 79-79=0 Current State: 86:[86, 40, 0], Operations: ['79-79=0'] Exploring Operation: 40*0=0, Resulting Numbers: [86, 0] Generated Node #3: [86, 0] from Operation: 40*0=0 Current State: 86:[86, 0], Operations: ['79-79=0', '40*0=0'] Exploring Operation: 86+0=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 39, 65, 76, 22 ]
41
[ "76-65=11", "22/11=2", "39+2=41" ]
Current State: 41:[39, 65, 76, 22], Operations: [] Exploring Operation: 76-65=11, Resulting Numbers: [39, 22, 11] Generated Node #2: [39, 22, 11] from Operation: 76-65=11 Current State: 41:[39, 22, 11], Operations: ['76-65=11'] Exploring Operation: 22/11=2, Resulting Numbers: [39, 2] Generated Node #3: [39, 2] from Operation: 22/11=2 Current State: 41:[39, 2], Operations: ['76-65=11', '22/11=2'] Exploring Operation: 39+2=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 3, 91, 47, 74 ]
27
[ "3+91=94", "47+74=121", "121-94=27" ]
Current State: 27:[3, 91, 47, 74], Operations: [] Exploring Operation: 3+91=94, Resulting Numbers: [47, 74, 94] Generated Node #2: [47, 74, 94] from Operation: 3+91=94 Current State: 27:[47, 74, 94], Operations: ['3+91=94'] Exploring Operation: 47+74=121, Resulting Numbers: [94, 121] Generated Node #3: [94, 121] from Operation: 47+74=121 Current State: 27:[94, 121], Operations: ['3+91=94', '47+74=121'] Exploring Operation: 121-94=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 98, 57, 69, 68 ]
41
[ "98-57=41", "69-68=1", "41*1=41" ]
Current State: 41:[98, 57, 69, 68], Operations: [] Exploring Operation: 98-57=41, Resulting Numbers: [69, 68, 41] Generated Node #2: [69, 68, 41] from Operation: 98-57=41 Current State: 41:[69, 68, 41], Operations: ['98-57=41'] Exploring Operation: 69-68=1, Resulting Numbers: [41, 1] Generated Node #3: [41, 1] from Operation: 69-68=1 Current State: 41:[41, 1], Operations: ['98-57=41', '69-68=1'] Exploring Operation: 41*1=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 44, 28, 91, 89 ]
32
[ "44-28=16", "91-89=2", "16*2=32" ]
Current State: 32:[44, 28, 91, 89], Operations: [] Exploring Operation: 44-28=16, Resulting Numbers: [91, 89, 16] Generated Node #2: [91, 89, 16] from Operation: 44-28=16 Current State: 32:[91, 89, 16], Operations: ['44-28=16'] Exploring Operation: 91-89=2, Resulting Numbers: [16, 2] Generated Node #3: [16, 2] from Operation: 91-89=2 Current State: 32:[16, 2], Operations: ['44-28=16', '91-89=2'] Exploring Operation: 16*2=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 54, 77, 21, 12 ]
32
[ "77-54=23", "21-12=9", "23+9=32" ]
Current State: 32:[54, 77, 21, 12], Operations: [] Exploring Operation: 77-54=23, Resulting Numbers: [21, 12, 23] Generated Node #2: [21, 12, 23] from Operation: 77-54=23 Current State: 32:[21, 12, 23], Operations: ['77-54=23'] Exploring Operation: 21-12=9, Resulting Numbers: [23, 9] Generated Node #3: [23, 9] from Operation: 21-12=9 Current State: 32:[23, 9], Operations: ['77-54=23', '21-12=9'] Exploring Operation: 23+9=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 27, 31, 85, 64 ]
91
[ "27+31=58", "85+64=149", "149-58=91" ]
Current State: 91:[27, 31, 85, 64], Operations: [] Exploring Operation: 27+31=58, Resulting Numbers: [85, 64, 58] Generated Node #2: [85, 64, 58] from Operation: 27+31=58 Current State: 91:[85, 64, 58], Operations: ['27+31=58'] Exploring Operation: 85+64=149, Resulting Numbers: [58, 149] Generated Node #3: [58, 149] from Operation: 85+64=149 Current State: 91:[58, 149], Operations: ['27+31=58', '85+64=149'] Exploring Operation: 149-58=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 93, 62, 5, 59 ]
18
[ "93-62=31", "59+31=90", "90/5=18" ]
Current State: 18:[93, 62, 5, 59], Operations: [] Exploring Operation: 93-62=31, Resulting Numbers: [5, 59, 31] Generated Node #2: [5, 59, 31] from Operation: 93-62=31 Current State: 18:[5, 59, 31], Operations: ['93-62=31'] Exploring Operation: 59+31=90, Resulting Numbers: [5, 90] Generated Node #3: [5, 90] from Operation: 59+31=90 Current State: 18:[5, 90], Operations: ['93-62=31', '59+31=90'] Exploring Operation: 90/5=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 33, 66, 26, 55 ]
78
[ "33*26=858", "66-55=11", "858/11=78" ]
Current State: 78:[33, 66, 26, 55], Operations: [] Exploring Operation: 33*26=858, Resulting Numbers: [66, 55, 858] Generated Node #2: [66, 55, 858] from Operation: 33*26=858 Current State: 78:[66, 55, 858], Operations: ['33*26=858'] Exploring Operation: 66-55=11, Resulting Numbers: [858, 11] Generated Node #3: [858, 11] from Operation: 66-55=11 Current State: 78:[858, 11], Operations: ['33*26=858', '66-55=11'] Exploring Operation: 858/11=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 48, 59, 3, 47 ]
82
[ "48+47=95", "59*3=177", "177-95=82" ]
Current State: 82:[48, 59, 3, 47], Operations: [] Exploring Operation: 48+47=95, Resulting Numbers: [59, 3, 95] Generated Node #2: [59, 3, 95] from Operation: 48+47=95 Current State: 82:[59, 3, 95], Operations: ['48+47=95'] Exploring Operation: 59*3=177, Resulting Numbers: [95, 177] Generated Node #3: [95, 177] from Operation: 59*3=177 Current State: 82:[95, 177], Operations: ['48+47=95', '59*3=177'] Exploring Operation: 177-95=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 63, 20, 48, 45 ]
45
[ "63+45=108", "20*108=2160", "2160/48=45" ]
Current State: 45:[63, 20, 48, 45], Operations: [] Exploring Operation: 63+45=108, Resulting Numbers: [20, 48, 108] Generated Node #2: [20, 48, 108] from Operation: 63+45=108 Current State: 45:[20, 48, 108], Operations: ['63+45=108'] Exploring Operation: 20*108=2160, Resulting Numbers: [48, 2160] Generated Node #3: [48, 2160] from Operation: 20*108=2160 Current State: 45:[48, 2160], Operations: ['63+45=108', '20*108=2160'] Exploring Operation: 2160/48=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 30, 49, 27, 27 ]
49
[ "27-27=0", "30*0=0", "49+0=49" ]
Current State: 49:[30, 49, 27, 27], Operations: [] Exploring Operation: 27-27=0, Resulting Numbers: [30, 49, 0] Generated Node #2: [30, 49, 0] from Operation: 27-27=0 Current State: 49:[30, 49, 0], Operations: ['27-27=0'] Exploring Operation: 30*0=0, Resulting Numbers: [49, 0] Generated Node #3: [49, 0] from Operation: 30*0=0 Current State: 49:[49, 0], Operations: ['27-27=0', '30*0=0'] Exploring Operation: 49+0=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 68, 41, 5, 81 ]
76
[ "81-41=40", "40/5=8", "68+8=76" ]
Current State: 76:[68, 41, 5, 81], Operations: [] Exploring Operation: 81-41=40, Resulting Numbers: [68, 5, 40] Generated Node #2: [68, 5, 40] from Operation: 81-41=40 Current State: 76:[68, 5, 40], Operations: ['81-41=40'] Exploring Operation: 40/5=8, Resulting Numbers: [68, 8] Generated Node #3: [68, 8] from Operation: 40/5=8 Current State: 76:[68, 8], Operations: ['81-41=40', '40/5=8'] Exploring Operation: 68+8=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 5, 9, 7, 83 ]
80
[ "9-5=4", "83-7=76", "4+76=80" ]
Current State: 80:[5, 9, 7, 83], Operations: [] Exploring Operation: 9-5=4, Resulting Numbers: [7, 83, 4] Generated Node #2: [7, 83, 4] from Operation: 9-5=4 Current State: 80:[7, 83, 4], Operations: ['9-5=4'] Exploring Operation: 83-7=76, Resulting Numbers: [4, 76] Generated Node #3: [4, 76] from Operation: 83-7=76 Current State: 80:[4, 76], Operations: ['9-5=4', '83-7=76'] Exploring Operation: 4+76=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 16, 35, 90, 13 ]
15
[ "35-16=19", "19-13=6", "90/6=15" ]
Current State: 15:[16, 35, 90, 13], Operations: [] Exploring Operation: 35-16=19, Resulting Numbers: [90, 13, 19] Generated Node #2: [90, 13, 19] from Operation: 35-16=19 Current State: 15:[90, 13, 19], Operations: ['35-16=19'] Exploring Operation: 19-13=6, Resulting Numbers: [90, 6] Generated Node #3: [90, 6] from Operation: 19-13=6 Current State: 15:[90, 6], Operations: ['35-16=19', '19-13=6'] Exploring Operation: 90/6=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 52, 72, 14, 48 ]
92
[ "52*72=3744", "3744/48=78", "14+78=92" ]
Current State: 92:[52, 72, 14, 48], Operations: [] Exploring Operation: 52*72=3744, Resulting Numbers: [14, 48, 3744] Generated Node #2: [14, 48, 3744] from Operation: 52*72=3744 Current State: 92:[14, 48, 3744], Operations: ['52*72=3744'] Exploring Operation: 3744/48=78, Resulting Numbers: [14, 78] Generated Node #3: [14, 78] from Operation: 3744/48=78 Current State: 92:[14, 78], Operations: ['52*72=3744', '3744/48=78'] Exploring Operation: 14+78=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 63, 36, 36, 65 ]
65
[ "36-36=0", "63*0=0", "65+0=65" ]
Current State: 65:[63, 36, 36, 65], Operations: [] Exploring Operation: 36-36=0, Resulting Numbers: [63, 65, 0] Generated Node #2: [63, 65, 0] from Operation: 36-36=0 Current State: 65:[63, 65, 0], Operations: ['36-36=0'] Exploring Operation: 63*0=0, Resulting Numbers: [65, 0] Generated Node #3: [65, 0] from Operation: 63*0=0 Current State: 65:[65, 0], Operations: ['36-36=0', '63*0=0'] Exploring Operation: 65+0=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 15, 42, 35, 8 ]
29
[ "15-8=7", "42/7=6", "35-6=29" ]
Current State: 29:[15, 42, 35, 8], Operations: [] Exploring Operation: 15-8=7, Resulting Numbers: [42, 35, 7] Generated Node #2: [42, 35, 7] from Operation: 15-8=7 Current State: 29:[42, 35, 7], Operations: ['15-8=7'] Exploring Operation: 42/7=6, Resulting Numbers: [35, 6] Generated Node #3: [35, 6] from Operation: 42/7=6 Current State: 29:[35, 6], Operations: ['15-8=7', '42/7=6'] Exploring Operation: 35-6=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 23, 80, 91, 83 ]
65
[ "80-23=57", "91-83=8", "57+8=65" ]
Current State: 65:[23, 80, 91, 83], Operations: [] Exploring Operation: 80-23=57, Resulting Numbers: [91, 83, 57] Generated Node #2: [91, 83, 57] from Operation: 80-23=57 Current State: 65:[91, 83, 57], Operations: ['80-23=57'] Exploring Operation: 91-83=8, Resulting Numbers: [57, 8] Generated Node #3: [57, 8] from Operation: 91-83=8 Current State: 65:[57, 8], Operations: ['80-23=57', '91-83=8'] Exploring Operation: 57+8=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 41, 97, 95, 91 ]
52
[ "97-41=56", "95-91=4", "56-4=52" ]
Current State: 52:[41, 97, 95, 91], Operations: [] Exploring Operation: 97-41=56, Resulting Numbers: [95, 91, 56] Generated Node #2: [95, 91, 56] from Operation: 97-41=56 Current State: 52:[95, 91, 56], Operations: ['97-41=56'] Exploring Operation: 95-91=4, Resulting Numbers: [56, 4] Generated Node #3: [56, 4] from Operation: 95-91=4 Current State: 52:[56, 4], Operations: ['97-41=56', '95-91=4'] Exploring Operation: 56-4=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 84, 23, 23, 73 ]
84
[ "23-23=0", "73*0=0", "84+0=84" ]
Current State: 84:[84, 23, 23, 73], Operations: [] Exploring Operation: 23-23=0, Resulting Numbers: [84, 73, 0] Generated Node #2: [84, 73, 0] from Operation: 23-23=0 Current State: 84:[84, 73, 0], Operations: ['23-23=0'] Exploring Operation: 73*0=0, Resulting Numbers: [84, 0] Generated Node #3: [84, 0] from Operation: 73*0=0 Current State: 84:[84, 0], Operations: ['23-23=0', '73*0=0'] Exploring Operation: 84+0=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 26, 20, 9, 86 ]
16
[ "26*9=234", "86+234=320", "320/20=16" ]
Current State: 16:[26, 20, 9, 86], Operations: [] Exploring Operation: 26*9=234, Resulting Numbers: [20, 86, 234] Generated Node #2: [20, 86, 234] from Operation: 26*9=234 Current State: 16:[20, 86, 234], Operations: ['26*9=234'] Exploring Operation: 86+234=320, Resulting Numbers: [20, 320] Generated Node #3: [20, 320] from Operation: 86+234=320 Current State: 16:[20, 320], Operations: ['26*9=234', '86+234=320'] Exploring Operation: 320/20=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 66, 16, 45, 33 ]
37
[ "66/33=2", "16/2=8", "45-8=37" ]
Current State: 37:[66, 16, 45, 33], Operations: [] Exploring Operation: 66/33=2, Resulting Numbers: [16, 45, 2] Generated Node #2: [16, 45, 2] from Operation: 66/33=2 Current State: 37:[16, 45, 2], Operations: ['66/33=2'] Exploring Operation: 16/2=8, Resulting Numbers: [45, 8] Generated Node #3: [45, 8] from Operation: 16/2=8 Current State: 37:[45, 8], Operations: ['66/33=2', '16/2=8'] Exploring Operation: 45-8=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 2, 46, 16, 89 ]
100
[ "89-16=73", "2*73=146", "146-46=100" ]
Current State: 100:[2, 46, 16, 89], Operations: [] Exploring Operation: 89-16=73, Resulting Numbers: [2, 46, 73] Generated Node #2: [2, 46, 73] from Operation: 89-16=73 Current State: 100:[2, 46, 73], Operations: ['89-16=73'] Exploring Operation: 2*73=146, Resulting Numbers: [46, 146] Generated Node #3: [46, 146] from Operation: 2*73=146 Current State: 100:[46, 146], Operations: ['89-16=73', '2*73=146'] Exploring Operation: 146-46=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 96, 63, 11, 40 ]
37
[ "96-63=33", "33/11=3", "40-3=37" ]
Current State: 37:[96, 63, 11, 40], Operations: [] Exploring Operation: 96-63=33, Resulting Numbers: [11, 40, 33] Generated Node #2: [11, 40, 33] from Operation: 96-63=33 Current State: 37:[11, 40, 33], Operations: ['96-63=33'] Exploring Operation: 33/11=3, Resulting Numbers: [40, 3] Generated Node #3: [40, 3] from Operation: 33/11=3 Current State: 37:[40, 3], Operations: ['96-63=33', '33/11=3'] Exploring Operation: 40-3=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 83, 16, 78, 64 ]
16
[ "83-78=5", "16+64=80", "80/5=16" ]
Current State: 16:[83, 16, 78, 64], Operations: [] Exploring Operation: 83-78=5, Resulting Numbers: [16, 64, 5] Generated Node #2: [16, 64, 5] from Operation: 83-78=5 Current State: 16:[16, 64, 5], Operations: ['83-78=5'] Exploring Operation: 16+64=80, Resulting Numbers: [5, 80] Generated Node #3: [5, 80] from Operation: 16+64=80 Current State: 16:[5, 80], Operations: ['83-78=5', '16+64=80'] Exploring Operation: 80/5=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 62, 6, 72, 64 ]
39
[ "64-62=2", "6+72=78", "78/2=39" ]
Current State: 39:[62, 6, 72, 64], Operations: [] Exploring Operation: 64-62=2, Resulting Numbers: [6, 72, 2] Generated Node #2: [6, 72, 2] from Operation: 64-62=2 Current State: 39:[6, 72, 2], Operations: ['64-62=2'] Exploring Operation: 6+72=78, Resulting Numbers: [2, 78] Generated Node #3: [2, 78] from Operation: 6+72=78 Current State: 39:[2, 78], Operations: ['64-62=2', '6+72=78'] Exploring Operation: 78/2=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 44, 99, 94, 11 ]
47
[ "44*94=4136", "99-11=88", "4136/88=47" ]
Current State: 47:[44, 99, 94, 11], Operations: [] Exploring Operation: 44*94=4136, Resulting Numbers: [99, 11, 4136] Generated Node #2: [99, 11, 4136] from Operation: 44*94=4136 Current State: 47:[99, 11, 4136], Operations: ['44*94=4136'] Exploring Operation: 99-11=88, Resulting Numbers: [4136, 88] Generated Node #3: [4136, 88] from Operation: 99-11=88 Current State: 47:[4136, 88], Operations: ['44*94=4136', '99-11=88'] Exploring Operation: 4136/88=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 12, 98, 88, 54 ]
52
[ "98-12=86", "88-54=34", "86-34=52" ]
Current State: 52:[12, 98, 88, 54], Operations: [] Exploring Operation: 98-12=86, Resulting Numbers: [88, 54, 86] Generated Node #2: [88, 54, 86] from Operation: 98-12=86 Current State: 52:[88, 54, 86], Operations: ['98-12=86'] Exploring Operation: 88-54=34, Resulting Numbers: [86, 34] Generated Node #3: [86, 34] from Operation: 88-54=34 Current State: 52:[86, 34], Operations: ['98-12=86', '88-54=34'] Exploring Operation: 86-34=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 99, 38, 49, 58 ]
66
[ "99*58=5742", "38+49=87", "5742/87=66" ]
Current State: 66:[99, 38, 49, 58], Operations: [] Exploring Operation: 99*58=5742, Resulting Numbers: [38, 49, 5742] Generated Node #2: [38, 49, 5742] from Operation: 99*58=5742 Current State: 66:[38, 49, 5742], Operations: ['99*58=5742'] Exploring Operation: 38+49=87, Resulting Numbers: [5742, 87] Generated Node #3: [5742, 87] from Operation: 38+49=87 Current State: 66:[5742, 87], Operations: ['99*58=5742', '38+49=87'] Exploring Operation: 5742/87=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 91, 26, 50, 34 ]
81
[ "91-26=65", "50-34=16", "65+16=81" ]
Current State: 81:[91, 26, 50, 34], Operations: [] Exploring Operation: 91-26=65, Resulting Numbers: [50, 34, 65] Generated Node #2: [50, 34, 65] from Operation: 91-26=65 Current State: 81:[50, 34, 65], Operations: ['91-26=65'] Exploring Operation: 50-34=16, Resulting Numbers: [65, 16] Generated Node #3: [65, 16] from Operation: 50-34=16 Current State: 81:[65, 16], Operations: ['91-26=65', '50-34=16'] Exploring Operation: 65+16=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 23, 52, 17, 57 ]
11
[ "52-23=29", "57-17=40", "40-29=11" ]
Current State: 11:[23, 52, 17, 57], Operations: [] Exploring Operation: 52-23=29, Resulting Numbers: [17, 57, 29] Generated Node #2: [17, 57, 29] from Operation: 52-23=29 Current State: 11:[17, 57, 29], Operations: ['52-23=29'] Exploring Operation: 57-17=40, Resulting Numbers: [29, 40] Generated Node #3: [29, 40] from Operation: 57-17=40 Current State: 11:[29, 40], Operations: ['52-23=29', '57-17=40'] Exploring Operation: 40-29=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 7, 29, 21, 84 ]
38
[ "84/7=12", "29+21=50", "50-12=38" ]
Current State: 38:[7, 29, 21, 84], Operations: [] Exploring Operation: 84/7=12, Resulting Numbers: [29, 21, 12] Generated Node #2: [29, 21, 12] from Operation: 84/7=12 Current State: 38:[29, 21, 12], Operations: ['84/7=12'] Exploring Operation: 29+21=50, Resulting Numbers: [12, 50] Generated Node #3: [12, 50] from Operation: 29+21=50 Current State: 38:[12, 50], Operations: ['84/7=12', '29+21=50'] Exploring Operation: 50-12=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 8, 15, 8, 3 ]
73
[ "8+3=11", "8*11=88", "88-15=73" ]
Current State: 73:[8, 15, 8, 3], Operations: [] Exploring Operation: 8+3=11, Resulting Numbers: [15, 11] Generated Node #2: [15, 11] from Operation: 8+3=11 Current State: 73:[15, 11], Operations: ['8+3=11'] Exploring Operation: 8*11=88, Resulting Numbers: [15, 88] Generated Node #3: [15, 88] from Operation: 8*11=88 Current State: 73:[15, 88], Operations: ['8+3=11', '8*11=88'] Exploring Operation: 88-15=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4