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
[ 70, 27, 37, 73 ]
66
[ "37-27=10", "70/10=7", "73-7=66" ]
Current State: 66:[70, 27, 37, 73], Operations: [] Exploring Operation: 37-27=10, Resulting Numbers: [70, 73, 10] Generated Node #2: [70, 73, 10] from Operation: 37-27=10 Current State: 66:[70, 73, 10], Operations: ['37-27=10'] Exploring Operation: 70/10=7, Resulting Numbers: [73, 7] Generated Node #3: [73, 7] from Operation: 70/10=7 Current State: 66:[73, 7], Operations: ['37-27=10', '70/10=7'] Exploring Operation: 73-7=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 80, 19, 81, 72 ]
90
[ "80+19=99", "81-72=9", "99-9=90" ]
Current State: 90:[80, 19, 81, 72], Operations: [] Exploring Operation: 80+19=99, Resulting Numbers: [81, 72, 99] Generated Node #2: [81, 72, 99] from Operation: 80+19=99 Current State: 90:[81, 72, 99], Operations: ['80+19=99'] Exploring Operation: 81-72=9, Resulting Numbers: [99, 9] Generated Node #3: [99, 9] from Operation: 81-72=9 Current State: 90:[99, 9], Operations: ['80+19=99', '81-72=9'] Exploring Operation: 99-9=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 99, 2, 88, 97 ]
54
[ "99-88=11", "97+11=108", "108/2=54" ]
Current State: 54:[99, 2, 88, 97], Operations: [] Exploring Operation: 99-88=11, Resulting Numbers: [2, 97, 11] Generated Node #2: [2, 97, 11] from Operation: 99-88=11 Current State: 54:[2, 97, 11], Operations: ['99-88=11'] Exploring Operation: 97+11=108, Resulting Numbers: [2, 108] Generated Node #3: [2, 108] from Operation: 97+11=108 Current State: 54:[2, 108], Operations: ['99-88=11', '97+11=108'] Exploring Operation: 108/2=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 87, 11, 89, 5 ]
80
[ "87+89=176", "176/11=16", "5*16=80" ]
Current State: 80:[87, 11, 89, 5], Operations: [] Exploring Operation: 87+89=176, Resulting Numbers: [11, 5, 176] Generated Node #2: [11, 5, 176] from Operation: 87+89=176 Current State: 80:[11, 5, 176], Operations: ['87+89=176'] Exploring Operation: 176/11=16, Resulting Numbers: [5, 16] Generated Node #3: [5, 16] from Operation: 176/11=16 Current State: 80:[5, 16], Operations: ['87+89=176', '176/11=16'] Exploring Operation: 5*16=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 20, 91, 69, 90 ]
88
[ "91-20=71", "69+90=159", "159-71=88" ]
Current State: 88:[20, 91, 69, 90], Operations: [] Exploring Operation: 91-20=71, Resulting Numbers: [69, 90, 71] Generated Node #2: [69, 90, 71] from Operation: 91-20=71 Current State: 88:[69, 90, 71], Operations: ['91-20=71'] Exploring Operation: 69+90=159, Resulting Numbers: [71, 159] Generated Node #3: [71, 159] from Operation: 69+90=159 Current State: 88:[71, 159], Operations: ['91-20=71', '69+90=159'] Exploring Operation: 159-71=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 81, 30, 41, 5 ]
65
[ "81+30=111", "41+5=46", "111-46=65" ]
Current State: 65:[81, 30, 41, 5], Operations: [] Exploring Operation: 81+30=111, Resulting Numbers: [41, 5, 111] Generated Node #2: [41, 5, 111] from Operation: 81+30=111 Current State: 65:[41, 5, 111], Operations: ['81+30=111'] Exploring Operation: 41+5=46, Resulting Numbers: [111, 46] Generated Node #3: [111, 46] from Operation: 41+5=46 Current State: 65:[111, 46], Operations: ['81+30=111', '41+5=46'] Exploring Operation: 111-46=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 94, 92, 38, 77 ]
37
[ "94-92=2", "77-38=39", "39-2=37" ]
Current State: 37:[94, 92, 38, 77], Operations: [] Exploring Operation: 94-92=2, Resulting Numbers: [38, 77, 2] Generated Node #2: [38, 77, 2] from Operation: 94-92=2 Current State: 37:[38, 77, 2], Operations: ['94-92=2'] Exploring Operation: 77-38=39, Resulting Numbers: [2, 39] Generated Node #3: [2, 39] from Operation: 77-38=39 Current State: 37:[2, 39], Operations: ['94-92=2', '77-38=39'] Exploring Operation: 39-2=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 2, 18, 88, 1 ]
98
[ "18/2=9", "88+1=89", "9+89=98" ]
Current State: 98:[2, 18, 88, 1], Operations: [] Exploring Operation: 18/2=9, Resulting Numbers: [88, 1, 9] Generated Node #2: [88, 1, 9] from Operation: 18/2=9 Current State: 98:[88, 1, 9], Operations: ['18/2=9'] Exploring Operation: 88+1=89, Resulting Numbers: [9, 89] Generated Node #3: [9, 89] from Operation: 88+1=89 Current State: 98:[9, 89], Operations: ['18/2=9', '88+1=89'] Exploring Operation: 9+89=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 72, 64, 5, 23 ]
68
[ "23-5=18", "72/18=4", "64+4=68" ]
Current State: 68:[72, 64, 5, 23], Operations: [] Exploring Operation: 23-5=18, Resulting Numbers: [72, 64, 18] Generated Node #2: [72, 64, 18] from Operation: 23-5=18 Current State: 68:[72, 64, 18], Operations: ['23-5=18'] Exploring Operation: 72/18=4, Resulting Numbers: [64, 4] Generated Node #3: [64, 4] from Operation: 72/18=4 Current State: 68:[64, 4], Operations: ['23-5=18', '72/18=4'] Exploring Operation: 64+4=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 70, 86, 98, 17 ]
41
[ "70+86=156", "98+17=115", "156-115=41" ]
Current State: 41:[70, 86, 98, 17], Operations: [] Exploring Operation: 70+86=156, Resulting Numbers: [98, 17, 156] Generated Node #2: [98, 17, 156] from Operation: 70+86=156 Current State: 41:[98, 17, 156], Operations: ['70+86=156'] Exploring Operation: 98+17=115, Resulting Numbers: [156, 115] Generated Node #3: [156, 115] from Operation: 98+17=115 Current State: 41:[156, 115], Operations: ['70+86=156', '98+17=115'] Exploring Operation: 156-115=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 80, 27, 68, 61 ]
22
[ "80+27=107", "68+61=129", "129-107=22" ]
Current State: 22:[80, 27, 68, 61], Operations: [] Exploring Operation: 80+27=107, Resulting Numbers: [68, 61, 107] Generated Node #2: [68, 61, 107] from Operation: 80+27=107 Current State: 22:[68, 61, 107], Operations: ['80+27=107'] Exploring Operation: 68+61=129, Resulting Numbers: [107, 129] Generated Node #3: [107, 129] from Operation: 68+61=129 Current State: 22:[107, 129], Operations: ['80+27=107', '68+61=129'] Exploring Operation: 129-107=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 79, 16, 11, 74 ]
25
[ "79-74=5", "16-11=5", "5*5=25" ]
Current State: 25:[79, 16, 11, 74], Operations: [] Exploring Operation: 79-74=5, Resulting Numbers: [16, 11, 5] Generated Node #2: [16, 11, 5] from Operation: 79-74=5 Current State: 25:[16, 11, 5], Operations: ['79-74=5'] Exploring Operation: 16-11=5, Resulting Numbers: [5, 5] Generated Node #3: [5, 5] from Operation: 16-11=5 Current State: 25:[5, 5], Operations: ['79-74=5', '16-11=5'] Exploring Operation: 5*5=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 80, 19, 90, 13 ]
57
[ "90-80=10", "13-10=3", "19*3=57" ]
Current State: 57:[80, 19, 90, 13], Operations: [] Exploring Operation: 90-80=10, Resulting Numbers: [19, 13, 10] Generated Node #2: [19, 13, 10] from Operation: 90-80=10 Current State: 57:[19, 13, 10], Operations: ['90-80=10'] Exploring Operation: 13-10=3, Resulting Numbers: [19, 3] Generated Node #3: [19, 3] from Operation: 13-10=3 Current State: 57:[19, 3], Operations: ['90-80=10', '13-10=3'] Exploring Operation: 19*3=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 62, 54, 19, 58 ]
77
[ "62+54=116", "58-19=39", "116-39=77" ]
Current State: 77:[62, 54, 19, 58], Operations: [] Exploring Operation: 62+54=116, Resulting Numbers: [19, 58, 116] Generated Node #2: [19, 58, 116] from Operation: 62+54=116 Current State: 77:[19, 58, 116], Operations: ['62+54=116'] Exploring Operation: 58-19=39, Resulting Numbers: [116, 39] Generated Node #3: [116, 39] from Operation: 58-19=39 Current State: 77:[116, 39], Operations: ['62+54=116', '58-19=39'] Exploring Operation: 116-39=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 17, 46, 19, 44 ]
92
[ "46-17=29", "19+44=63", "29+63=92" ]
Current State: 92:[17, 46, 19, 44], Operations: [] Exploring Operation: 46-17=29, Resulting Numbers: [19, 44, 29] Generated Node #2: [19, 44, 29] from Operation: 46-17=29 Current State: 92:[19, 44, 29], Operations: ['46-17=29'] Exploring Operation: 19+44=63, Resulting Numbers: [29, 63] Generated Node #3: [29, 63] from Operation: 19+44=63 Current State: 92:[29, 63], Operations: ['46-17=29', '19+44=63'] Exploring Operation: 29+63=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 84, 53, 42, 47 ]
98
[ "84/42=2", "53+47=100", "100-2=98" ]
Current State: 98:[84, 53, 42, 47], Operations: [] Exploring Operation: 84/42=2, Resulting Numbers: [53, 47, 2] Generated Node #2: [53, 47, 2] from Operation: 84/42=2 Current State: 98:[53, 47, 2], Operations: ['84/42=2'] Exploring Operation: 53+47=100, Resulting Numbers: [2, 100] Generated Node #3: [2, 100] from Operation: 53+47=100 Current State: 98:[2, 100], Operations: ['84/42=2', '53+47=100'] Exploring Operation: 100-2=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 10, 86, 12, 7 ]
91
[ "10+86=96", "12-7=5", "96-5=91" ]
Current State: 91:[10, 86, 12, 7], Operations: [] Exploring Operation: 10+86=96, Resulting Numbers: [12, 7, 96] Generated Node #2: [12, 7, 96] from Operation: 10+86=96 Current State: 91:[12, 7, 96], Operations: ['10+86=96'] Exploring Operation: 12-7=5, Resulting Numbers: [96, 5] Generated Node #3: [96, 5] from Operation: 12-7=5 Current State: 91:[96, 5], Operations: ['10+86=96', '12-7=5'] Exploring Operation: 96-5=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 6, 24, 1, 67 ]
48
[ "24-6=18", "67-1=66", "66-18=48" ]
Current State: 48:[6, 24, 1, 67], Operations: [] Exploring Operation: 24-6=18, Resulting Numbers: [1, 67, 18] Generated Node #2: [1, 67, 18] from Operation: 24-6=18 Current State: 48:[1, 67, 18], Operations: ['24-6=18'] Exploring Operation: 67-1=66, Resulting Numbers: [18, 66] Generated Node #3: [18, 66] from Operation: 67-1=66 Current State: 48:[18, 66], Operations: ['24-6=18', '67-1=66'] Exploring Operation: 66-18=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 27, 51, 29, 47 ]
43
[ "29-27=2", "47*2=94", "94-51=43" ]
Current State: 43:[27, 51, 29, 47], Operations: [] Exploring Operation: 29-27=2, Resulting Numbers: [51, 47, 2] Generated Node #2: [51, 47, 2] from Operation: 29-27=2 Current State: 43:[51, 47, 2], Operations: ['29-27=2'] Exploring Operation: 47*2=94, Resulting Numbers: [51, 94] Generated Node #3: [51, 94] from Operation: 47*2=94 Current State: 43:[51, 94], Operations: ['29-27=2', '47*2=94'] Exploring Operation: 94-51=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 83, 67, 57, 38 ]
100
[ "83+67=150", "38*150=5700", "5700/57=100" ]
Current State: 100:[83, 67, 57, 38], Operations: [] Exploring Operation: 83+67=150, Resulting Numbers: [57, 38, 150] Generated Node #2: [57, 38, 150] from Operation: 83+67=150 Current State: 100:[57, 38, 150], Operations: ['83+67=150'] Exploring Operation: 38*150=5700, Resulting Numbers: [57, 5700] Generated Node #3: [57, 5700] from Operation: 38*150=5700 Current State: 100:[57, 5700], Operations: ['83+67=150', '38*150=5700'] Exploring Operation: 5700/57=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 56, 65, 80, 20 ]
61
[ "56+65=121", "80-20=60", "121-60=61" ]
Current State: 61:[56, 65, 80, 20], Operations: [] Exploring Operation: 56+65=121, Resulting Numbers: [80, 20, 121] Generated Node #2: [80, 20, 121] from Operation: 56+65=121 Current State: 61:[80, 20, 121], Operations: ['56+65=121'] Exploring Operation: 80-20=60, Resulting Numbers: [121, 60] Generated Node #3: [121, 60] from Operation: 80-20=60 Current State: 61:[121, 60], Operations: ['56+65=121', '80-20=60'] Exploring Operation: 121-60=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 5, 82, 66, 81 ]
61
[ "66-5=61", "82-81=1", "61*1=61" ]
Current State: 61:[5, 82, 66, 81], Operations: [] Exploring Operation: 66-5=61, Resulting Numbers: [82, 81, 61] Generated Node #2: [82, 81, 61] from Operation: 66-5=61 Current State: 61:[82, 81, 61], Operations: ['66-5=61'] Exploring Operation: 82-81=1, Resulting Numbers: [61, 1] Generated Node #3: [61, 1] from Operation: 82-81=1 Current State: 61:[61, 1], Operations: ['66-5=61', '82-81=1'] Exploring Operation: 61*1=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 17, 48, 52, 82 ]
54
[ "82-48=34", "34/17=2", "52+2=54" ]
Current State: 54:[17, 48, 52, 82], Operations: [] Exploring Operation: 82-48=34, Resulting Numbers: [17, 52, 34] Generated Node #2: [17, 52, 34] from Operation: 82-48=34 Current State: 54:[17, 52, 34], Operations: ['82-48=34'] Exploring Operation: 34/17=2, Resulting Numbers: [52, 2] Generated Node #3: [52, 2] from Operation: 34/17=2 Current State: 54:[52, 2], Operations: ['82-48=34', '34/17=2'] Exploring Operation: 52+2=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 15, 29, 49, 47 ]
88
[ "15+29=44", "49-47=2", "44*2=88" ]
Current State: 88:[15, 29, 49, 47], Operations: [] Exploring Operation: 15+29=44, Resulting Numbers: [49, 47, 44] Generated Node #2: [49, 47, 44] from Operation: 15+29=44 Current State: 88:[49, 47, 44], Operations: ['15+29=44'] Exploring Operation: 49-47=2, Resulting Numbers: [44, 2] Generated Node #3: [44, 2] from Operation: 49-47=2 Current State: 88:[44, 2], Operations: ['15+29=44', '49-47=2'] Exploring Operation: 44*2=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 49, 42, 11, 8 ]
63
[ "11-8=3", "42/3=14", "49+14=63" ]
Current State: 63:[49, 42, 11, 8], Operations: [] Exploring Operation: 11-8=3, Resulting Numbers: [49, 42, 3] Generated Node #2: [49, 42, 3] from Operation: 11-8=3 Current State: 63:[49, 42, 3], Operations: ['11-8=3'] Exploring Operation: 42/3=14, Resulting Numbers: [49, 14] Generated Node #3: [49, 14] from Operation: 42/3=14 Current State: 63:[49, 14], Operations: ['11-8=3', '42/3=14'] Exploring Operation: 49+14=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 1, 50, 47, 33 ]
66
[ "50-1=49", "49-47=2", "33*2=66" ]
Current State: 66:[1, 50, 47, 33], Operations: [] Exploring Operation: 50-1=49, Resulting Numbers: [47, 33, 49] Generated Node #2: [47, 33, 49] from Operation: 50-1=49 Current State: 66:[47, 33, 49], Operations: ['50-1=49'] Exploring Operation: 49-47=2, Resulting Numbers: [33, 2] Generated Node #3: [33, 2] from Operation: 49-47=2 Current State: 66:[33, 2], Operations: ['50-1=49', '49-47=2'] Exploring Operation: 33*2=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 17, 78, 6, 32 ]
57
[ "17+78=95", "6+32=38", "95-38=57" ]
Current State: 57:[17, 78, 6, 32], Operations: [] Exploring Operation: 17+78=95, Resulting Numbers: [6, 32, 95] Generated Node #2: [6, 32, 95] from Operation: 17+78=95 Current State: 57:[6, 32, 95], Operations: ['17+78=95'] Exploring Operation: 6+32=38, Resulting Numbers: [95, 38] Generated Node #3: [95, 38] from Operation: 6+32=38 Current State: 57:[95, 38], Operations: ['17+78=95', '6+32=38'] Exploring Operation: 95-38=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 54, 79, 85, 91 ]
43
[ "54+79=133", "85+91=176", "176-133=43" ]
Current State: 43:[54, 79, 85, 91], Operations: [] Exploring Operation: 54+79=133, Resulting Numbers: [85, 91, 133] Generated Node #2: [85, 91, 133] from Operation: 54+79=133 Current State: 43:[85, 91, 133], Operations: ['54+79=133'] Exploring Operation: 85+91=176, Resulting Numbers: [133, 176] Generated Node #3: [133, 176] from Operation: 85+91=176 Current State: 43:[133, 176], Operations: ['54+79=133', '85+91=176'] Exploring Operation: 176-133=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 33, 94, 2, 85 ]
35
[ "33+85=118", "118/2=59", "94-59=35" ]
Current State: 35:[33, 94, 2, 85], Operations: [] Exploring Operation: 33+85=118, Resulting Numbers: [94, 2, 118] Generated Node #2: [94, 2, 118] from Operation: 33+85=118 Current State: 35:[94, 2, 118], Operations: ['33+85=118'] Exploring Operation: 118/2=59, Resulting Numbers: [94, 59] Generated Node #3: [94, 59] from Operation: 118/2=59 Current State: 35:[94, 59], Operations: ['33+85=118', '118/2=59'] Exploring Operation: 94-59=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 97, 1, 66, 77 ]
84
[ "97+1=98", "66*98=6468", "6468/77=84" ]
Current State: 84:[97, 1, 66, 77], Operations: [] Exploring Operation: 97+1=98, Resulting Numbers: [66, 77, 98] Generated Node #2: [66, 77, 98] from Operation: 97+1=98 Current State: 84:[66, 77, 98], Operations: ['97+1=98'] Exploring Operation: 66*98=6468, Resulting Numbers: [77, 6468] Generated Node #3: [77, 6468] from Operation: 66*98=6468 Current State: 84:[77, 6468], Operations: ['97+1=98', '66*98=6468'] Exploring Operation: 6468/77=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 7, 83, 41, 6 ]
42
[ "7-6=1", "83-41=42", "1*42=42" ]
Current State: 42:[7, 83, 41, 6], Operations: [] Exploring Operation: 7-6=1, Resulting Numbers: [83, 41, 1] Generated Node #2: [83, 41, 1] from Operation: 7-6=1 Current State: 42:[83, 41, 1], Operations: ['7-6=1'] Exploring Operation: 83-41=42, Resulting Numbers: [1, 42] Generated Node #3: [1, 42] from Operation: 83-41=42 Current State: 42:[1, 42], Operations: ['7-6=1', '83-41=42'] Exploring Operation: 1*42=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 63, 26, 23, 65 ]
75
[ "65-63=2", "26*2=52", "23+52=75" ]
Current State: 75:[63, 26, 23, 65], Operations: [] Exploring Operation: 65-63=2, Resulting Numbers: [26, 23, 2] Generated Node #2: [26, 23, 2] from Operation: 65-63=2 Current State: 75:[26, 23, 2], Operations: ['65-63=2'] Exploring Operation: 26*2=52, Resulting Numbers: [23, 52] Generated Node #3: [23, 52] from Operation: 26*2=52 Current State: 75:[23, 52], Operations: ['65-63=2', '26*2=52'] Exploring Operation: 23+52=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 62, 71, 90, 40 ]
50
[ "71-62=9", "90/9=10", "40+10=50" ]
Current State: 50:[62, 71, 90, 40], Operations: [] Exploring Operation: 71-62=9, Resulting Numbers: [90, 40, 9] Generated Node #2: [90, 40, 9] from Operation: 71-62=9 Current State: 50:[90, 40, 9], Operations: ['71-62=9'] Exploring Operation: 90/9=10, Resulting Numbers: [40, 10] Generated Node #3: [40, 10] from Operation: 90/9=10 Current State: 50:[40, 10], Operations: ['71-62=9', '90/9=10'] Exploring Operation: 40+10=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 5, 90, 2, 80 ]
40
[ "5+80=85", "90/2=45", "85-45=40" ]
Current State: 40:[5, 90, 2, 80], Operations: [] Exploring Operation: 5+80=85, Resulting Numbers: [90, 2, 85] Generated Node #2: [90, 2, 85] from Operation: 5+80=85 Current State: 40:[90, 2, 85], Operations: ['5+80=85'] Exploring Operation: 90/2=45, Resulting Numbers: [85, 45] Generated Node #3: [85, 45] from Operation: 90/2=45 Current State: 40:[85, 45], Operations: ['5+80=85', '90/2=45'] Exploring Operation: 85-45=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 34, 33, 37, 35 ]
65
[ "34+33=67", "37-35=2", "67-2=65" ]
Current State: 65:[34, 33, 37, 35], Operations: [] Exploring Operation: 34+33=67, Resulting Numbers: [37, 35, 67] Generated Node #2: [37, 35, 67] from Operation: 34+33=67 Current State: 65:[37, 35, 67], Operations: ['34+33=67'] Exploring Operation: 37-35=2, Resulting Numbers: [67, 2] Generated Node #3: [67, 2] from Operation: 37-35=2 Current State: 65:[67, 2], Operations: ['34+33=67', '37-35=2'] Exploring Operation: 67-2=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 76, 63, 21, 77 ]
84
[ "77-76=1", "63+21=84", "1*84=84" ]
Current State: 84:[76, 63, 21, 77], Operations: [] Exploring Operation: 77-76=1, Resulting Numbers: [63, 21, 1] Generated Node #2: [63, 21, 1] from Operation: 77-76=1 Current State: 84:[63, 21, 1], Operations: ['77-76=1'] Exploring Operation: 63+21=84, Resulting Numbers: [1, 84] Generated Node #3: [1, 84] from Operation: 63+21=84 Current State: 84:[1, 84], Operations: ['77-76=1', '63+21=84'] Exploring Operation: 1*84=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 4, 7, 77, 13 ]
87
[ "7-4=3", "77+13=90", "90-3=87" ]
Current State: 87:[4, 7, 77, 13], Operations: [] Exploring Operation: 7-4=3, Resulting Numbers: [77, 13, 3] Generated Node #2: [77, 13, 3] from Operation: 7-4=3 Current State: 87:[77, 13, 3], Operations: ['7-4=3'] Exploring Operation: 77+13=90, Resulting Numbers: [3, 90] Generated Node #3: [3, 90] from Operation: 77+13=90 Current State: 87:[3, 90], Operations: ['7-4=3', '77+13=90'] Exploring Operation: 90-3=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 25, 31, 97, 37 ]
42
[ "31*37=1147", "1147-97=1050", "1050/25=42" ]
Current State: 42:[25, 31, 97, 37], Operations: [] Exploring Operation: 31*37=1147, Resulting Numbers: [25, 97, 1147] Generated Node #2: [25, 97, 1147] from Operation: 31*37=1147 Current State: 42:[25, 97, 1147], Operations: ['31*37=1147'] Exploring Operation: 1147-97=1050, Resulting Numbers: [25, 1050] Generated Node #3: [25, 1050] from Operation: 1147-97=1050 Current State: 42:[25, 1050], Operations: ['31*37=1147', '1147-97=1050'] Exploring Operation: 1050/25=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 29, 64, 9, 7 ]
28
[ "64-29=35", "9*7=63", "63-35=28" ]
Current State: 28:[29, 64, 9, 7], Operations: [] Exploring Operation: 64-29=35, Resulting Numbers: [9, 7, 35] Generated Node #2: [9, 7, 35] from Operation: 64-29=35 Current State: 28:[9, 7, 35], Operations: ['64-29=35'] Exploring Operation: 9*7=63, Resulting Numbers: [35, 63] Generated Node #3: [35, 63] from Operation: 9*7=63 Current State: 28:[35, 63], Operations: ['64-29=35', '9*7=63'] Exploring Operation: 63-35=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 27, 58, 3, 58 ]
86
[ "58-27=31", "58-3=55", "31+55=86" ]
Current State: 86:[27, 58, 3, 58], Operations: [] Exploring Operation: 58-27=31, Resulting Numbers: [3, 31] Generated Node #2: [3, 31] from Operation: 58-27=31 Current State: 86:[3, 31], Operations: ['58-27=31'] Exploring Operation: 58-3=55, Resulting Numbers: [31, 55] Generated Node #3: [31, 55] from Operation: 58-3=55 Current State: 86:[31, 55], Operations: ['58-27=31', '58-3=55'] Exploring Operation: 31+55=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 28, 66, 48, 99 ]
13
[ "66-28=38", "99-48=51", "51-38=13" ]
Current State: 13:[28, 66, 48, 99], Operations: [] Exploring Operation: 66-28=38, Resulting Numbers: [48, 99, 38] Generated Node #2: [48, 99, 38] from Operation: 66-28=38 Current State: 13:[48, 99, 38], Operations: ['66-28=38'] Exploring Operation: 99-48=51, Resulting Numbers: [38, 51] Generated Node #3: [38, 51] from Operation: 99-48=51 Current State: 13:[38, 51], Operations: ['66-28=38', '99-48=51'] Exploring Operation: 51-38=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 45, 5, 33, 33 ]
93
[ "45-33=12", "5*12=60", "33+60=93" ]
Current State: 93:[45, 5, 33, 33], Operations: [] Exploring Operation: 45-33=12, Resulting Numbers: [5, 12] Generated Node #2: [5, 12] from Operation: 45-33=12 Current State: 93:[5, 12], Operations: ['45-33=12'] Exploring Operation: 5*12=60, Resulting Numbers: [60] 60,93 equal: Goal Reached Exploring Operation: 33+60=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 6, 35, 12, 49 ]
66
[ "35-6=29", "49-12=37", "29+37=66" ]
Current State: 66:[6, 35, 12, 49], Operations: [] Exploring Operation: 35-6=29, Resulting Numbers: [12, 49, 29] Generated Node #2: [12, 49, 29] from Operation: 35-6=29 Current State: 66:[12, 49, 29], Operations: ['35-6=29'] Exploring Operation: 49-12=37, Resulting Numbers: [29, 37] Generated Node #3: [29, 37] from Operation: 49-12=37 Current State: 66:[29, 37], Operations: ['35-6=29', '49-12=37'] Exploring Operation: 29+37=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 2, 6, 72, 55 ]
65
[ "55-2=53", "72/6=12", "53+12=65" ]
Current State: 65:[2, 6, 72, 55], Operations: [] Exploring Operation: 55-2=53, Resulting Numbers: [6, 72, 53] Generated Node #2: [6, 72, 53] from Operation: 55-2=53 Current State: 65:[6, 72, 53], Operations: ['55-2=53'] Exploring Operation: 72/6=12, Resulting Numbers: [53, 12] Generated Node #3: [53, 12] from Operation: 72/6=12 Current State: 65:[53, 12], Operations: ['55-2=53', '72/6=12'] Exploring Operation: 53+12=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 32, 84, 36, 11 ]
32
[ "36-32=4", "84/4=21", "11+21=32" ]
Current State: 32:[32, 84, 36, 11], Operations: [] Exploring Operation: 36-32=4, Resulting Numbers: [84, 11, 4] Generated Node #2: [84, 11, 4] from Operation: 36-32=4 Current State: 32:[84, 11, 4], Operations: ['36-32=4'] Exploring Operation: 84/4=21, Resulting Numbers: [11, 21] Generated Node #3: [11, 21] from Operation: 84/4=21 Current State: 32:[11, 21], Operations: ['36-32=4', '84/4=21'] Exploring Operation: 11+21=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 91, 16, 4, 2 ]
54
[ "16*4=64", "91-64=27", "2*27=54" ]
Current State: 54:[91, 16, 4, 2], Operations: [] Exploring Operation: 16*4=64, Resulting Numbers: [91, 2, 64] Generated Node #2: [91, 2, 64] from Operation: 16*4=64 Current State: 54:[91, 2, 64], Operations: ['16*4=64'] Exploring Operation: 91-64=27, Resulting Numbers: [2, 27] Generated Node #3: [2, 27] from Operation: 91-64=27 Current State: 54:[2, 27], Operations: ['16*4=64', '91-64=27'] Exploring Operation: 2*27=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 31, 63, 18, 64 ]
36
[ "63-31=32", "18*64=1152", "1152/32=36" ]
Current State: 36:[31, 63, 18, 64], Operations: [] Exploring Operation: 63-31=32, Resulting Numbers: [18, 64, 32] Generated Node #2: [18, 64, 32] from Operation: 63-31=32 Current State: 36:[18, 64, 32], Operations: ['63-31=32'] Exploring Operation: 18*64=1152, Resulting Numbers: [32, 1152] Generated Node #3: [32, 1152] from Operation: 18*64=1152 Current State: 36:[32, 1152], Operations: ['63-31=32', '18*64=1152'] Exploring Operation: 1152/32=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 27, 16, 77, 60 ]
94
[ "27+16=43", "77+60=137", "137-43=94" ]
Current State: 94:[27, 16, 77, 60], Operations: [] Exploring Operation: 27+16=43, Resulting Numbers: [77, 60, 43] Generated Node #2: [77, 60, 43] from Operation: 27+16=43 Current State: 94:[77, 60, 43], Operations: ['27+16=43'] Exploring Operation: 77+60=137, Resulting Numbers: [43, 137] Generated Node #3: [43, 137] from Operation: 77+60=137 Current State: 94:[43, 137], Operations: ['27+16=43', '77+60=137'] Exploring Operation: 137-43=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 13, 93, 54, 35 ]
38
[ "93-54=39", "39/13=3", "35+3=38" ]
Current State: 38:[13, 93, 54, 35], Operations: [] Exploring Operation: 93-54=39, Resulting Numbers: [13, 35, 39] Generated Node #2: [13, 35, 39] from Operation: 93-54=39 Current State: 38:[13, 35, 39], Operations: ['93-54=39'] Exploring Operation: 39/13=3, Resulting Numbers: [35, 3] Generated Node #3: [35, 3] from Operation: 39/13=3 Current State: 38:[35, 3], Operations: ['93-54=39', '39/13=3'] Exploring Operation: 35+3=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 66, 38, 67, 85 ]
10
[ "66-38=28", "85-67=18", "28-18=10" ]
Current State: 10:[66, 38, 67, 85], Operations: [] Exploring Operation: 66-38=28, Resulting Numbers: [67, 85, 28] Generated Node #2: [67, 85, 28] from Operation: 66-38=28 Current State: 10:[67, 85, 28], Operations: ['66-38=28'] Exploring Operation: 85-67=18, Resulting Numbers: [28, 18] Generated Node #3: [28, 18] from Operation: 85-67=18 Current State: 10:[28, 18], Operations: ['66-38=28', '85-67=18'] Exploring Operation: 28-18=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 59, 54, 83, 4 ]
57
[ "83-54=29", "4*29=116", "116-59=57" ]
Current State: 57:[59, 54, 83, 4], Operations: [] Exploring Operation: 83-54=29, Resulting Numbers: [59, 4, 29] Generated Node #2: [59, 4, 29] from Operation: 83-54=29 Current State: 57:[59, 4, 29], Operations: ['83-54=29'] Exploring Operation: 4*29=116, Resulting Numbers: [59, 116] Generated Node #3: [59, 116] from Operation: 4*29=116 Current State: 57:[59, 116], Operations: ['83-54=29', '4*29=116'] Exploring Operation: 116-59=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 71, 65, 46, 8 ]
23
[ "71-65=6", "8-6=2", "46/2=23" ]
Current State: 23:[71, 65, 46, 8], Operations: [] Exploring Operation: 71-65=6, Resulting Numbers: [46, 8, 6] Generated Node #2: [46, 8, 6] from Operation: 71-65=6 Current State: 23:[46, 8, 6], Operations: ['71-65=6'] Exploring Operation: 8-6=2, Resulting Numbers: [46, 2] Generated Node #3: [46, 2] from Operation: 8-6=2 Current State: 23:[46, 2], Operations: ['71-65=6', '8-6=2'] Exploring Operation: 46/2=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 79, 84, 91, 7 ]
18
[ "84-79=5", "91/7=13", "5+13=18" ]
Current State: 18:[79, 84, 91, 7], Operations: [] Exploring Operation: 84-79=5, Resulting Numbers: [91, 7, 5] Generated Node #2: [91, 7, 5] from Operation: 84-79=5 Current State: 18:[91, 7, 5], Operations: ['84-79=5'] Exploring Operation: 91/7=13, Resulting Numbers: [5, 13] Generated Node #3: [5, 13] from Operation: 91/7=13 Current State: 18:[5, 13], Operations: ['84-79=5', '91/7=13'] Exploring Operation: 5+13=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 90, 28, 80, 10 ]
85
[ "28-10=18", "90/18=5", "80+5=85" ]
Current State: 85:[90, 28, 80, 10], Operations: [] Exploring Operation: 28-10=18, Resulting Numbers: [90, 80, 18] Generated Node #2: [90, 80, 18] from Operation: 28-10=18 Current State: 85:[90, 80, 18], Operations: ['28-10=18'] Exploring Operation: 90/18=5, Resulting Numbers: [80, 5] Generated Node #3: [80, 5] from Operation: 90/18=5 Current State: 85:[80, 5], Operations: ['28-10=18', '90/18=5'] Exploring Operation: 80+5=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 25, 3, 50, 6 ]
19
[ "25*3=75", "50+6=56", "75-56=19" ]
Current State: 19:[25, 3, 50, 6], Operations: [] Exploring Operation: 25*3=75, Resulting Numbers: [50, 6, 75] Generated Node #2: [50, 6, 75] from Operation: 25*3=75 Current State: 19:[50, 6, 75], Operations: ['25*3=75'] Exploring Operation: 50+6=56, Resulting Numbers: [75, 56] Generated Node #3: [75, 56] from Operation: 50+6=56 Current State: 19:[75, 56], Operations: ['25*3=75', '50+6=56'] Exploring Operation: 75-56=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 39, 21, 20, 6 ]
86
[ "39+21=60", "20+6=26", "60+26=86" ]
Current State: 86:[39, 21, 20, 6], Operations: [] Exploring Operation: 39+21=60, Resulting Numbers: [20, 6, 60] Generated Node #2: [20, 6, 60] from Operation: 39+21=60 Current State: 86:[20, 6, 60], Operations: ['39+21=60'] Exploring Operation: 20+6=26, Resulting Numbers: [60, 26] Generated Node #3: [60, 26] from Operation: 20+6=26 Current State: 86:[60, 26], Operations: ['39+21=60', '20+6=26'] Exploring Operation: 60+26=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 34, 67, 63, 63 ]
33
[ "67-34=33", "63-63=0", "33+0=33" ]
Current State: 33:[34, 67, 63, 63], Operations: [] Exploring Operation: 67-34=33, Resulting Numbers: [63, 63, 33] Generated Node #2: [63, 63, 33] from Operation: 67-34=33 Current State: 33:[63, 63, 33], Operations: ['67-34=33'] Exploring Operation: 63-63=0, Resulting Numbers: [33, 0] Generated Node #3: [33, 0] from Operation: 63-63=0 Current State: 33:[33, 0], Operations: ['67-34=33', '63-63=0'] Exploring Operation: 33+0=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 78, 55, 3, 53 ]
36
[ "55-53=2", "78/2=39", "39-3=36" ]
Current State: 36:[78, 55, 3, 53], Operations: [] Exploring Operation: 55-53=2, Resulting Numbers: [78, 3, 2] Generated Node #2: [78, 3, 2] from Operation: 55-53=2 Current State: 36:[78, 3, 2], Operations: ['55-53=2'] Exploring Operation: 78/2=39, Resulting Numbers: [3, 39] Generated Node #3: [3, 39] from Operation: 78/2=39 Current State: 36:[3, 39], Operations: ['55-53=2', '78/2=39'] Exploring Operation: 39-3=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 93, 52, 89, 52 ]
39
[ "93-89=4", "52/4=13", "52-13=39" ]
Current State: 39:[93, 52, 89, 52], Operations: [] Exploring Operation: 93-89=4, Resulting Numbers: [52, 52, 4] Generated Node #2: [52, 52, 4] from Operation: 93-89=4 Current State: 39:[52, 52, 4], Operations: ['93-89=4'] Exploring Operation: 52/4=13, Resulting Numbers: [13] 13,39 equal: Goal Reached Exploring Operation: 52-13=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 81, 7, 32, 62 ]
25
[ "81+32=113", "62+113=175", "175/7=25" ]
Current State: 25:[81, 7, 32, 62], Operations: [] Exploring Operation: 81+32=113, Resulting Numbers: [7, 62, 113] Generated Node #2: [7, 62, 113] from Operation: 81+32=113 Current State: 25:[7, 62, 113], Operations: ['81+32=113'] Exploring Operation: 62+113=175, Resulting Numbers: [7, 175] Generated Node #3: [7, 175] from Operation: 62+113=175 Current State: 25:[7, 175], Operations: ['81+32=113', '62+113=175'] Exploring Operation: 175/7=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 2, 55, 37, 61 ]
45
[ "55-2=53", "37+61=98", "98-53=45" ]
Current State: 45:[2, 55, 37, 61], Operations: [] Exploring Operation: 55-2=53, Resulting Numbers: [37, 61, 53] Generated Node #2: [37, 61, 53] from Operation: 55-2=53 Current State: 45:[37, 61, 53], Operations: ['55-2=53'] Exploring Operation: 37+61=98, Resulting Numbers: [53, 98] Generated Node #3: [53, 98] from Operation: 37+61=98 Current State: 45:[53, 98], Operations: ['55-2=53', '37+61=98'] Exploring Operation: 98-53=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 69, 73, 6, 10 ]
15
[ "73-69=4", "6*10=60", "60/4=15" ]
Current State: 15:[69, 73, 6, 10], Operations: [] Exploring Operation: 73-69=4, Resulting Numbers: [6, 10, 4] Generated Node #2: [6, 10, 4] from Operation: 73-69=4 Current State: 15:[6, 10, 4], Operations: ['73-69=4'] Exploring Operation: 6*10=60, Resulting Numbers: [4, 60] Generated Node #3: [4, 60] from Operation: 6*10=60 Current State: 15:[4, 60], Operations: ['73-69=4', '6*10=60'] Exploring Operation: 60/4=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 15, 35, 40, 60 ]
80
[ "35-15=20", "40+60=100", "100-20=80" ]
Current State: 80:[15, 35, 40, 60], Operations: [] Exploring Operation: 35-15=20, Resulting Numbers: [40, 60, 20] Generated Node #2: [40, 60, 20] from Operation: 35-15=20 Current State: 80:[40, 60, 20], Operations: ['35-15=20'] Exploring Operation: 40+60=100, Resulting Numbers: [20, 100] Generated Node #3: [20, 100] from Operation: 40+60=100 Current State: 80:[20, 100], Operations: ['35-15=20', '40+60=100'] Exploring Operation: 100-20=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 60, 23, 42, 32 ]
47
[ "60-23=37", "42-32=10", "37+10=47" ]
Current State: 47:[60, 23, 42, 32], Operations: [] Exploring Operation: 60-23=37, Resulting Numbers: [42, 32, 37] Generated Node #2: [42, 32, 37] from Operation: 60-23=37 Current State: 47:[42, 32, 37], Operations: ['60-23=37'] Exploring Operation: 42-32=10, Resulting Numbers: [37, 10] Generated Node #3: [37, 10] from Operation: 42-32=10 Current State: 47:[37, 10], Operations: ['60-23=37', '42-32=10'] Exploring Operation: 37+10=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 78, 2, 80, 13 ]
63
[ "78*2=156", "80+13=93", "156-93=63" ]
Current State: 63:[78, 2, 80, 13], Operations: [] Exploring Operation: 78*2=156, Resulting Numbers: [80, 13, 156] Generated Node #2: [80, 13, 156] from Operation: 78*2=156 Current State: 63:[80, 13, 156], Operations: ['78*2=156'] Exploring Operation: 80+13=93, Resulting Numbers: [156, 93] Generated Node #3: [156, 93] from Operation: 80+13=93 Current State: 63:[156, 93], Operations: ['78*2=156', '80+13=93'] Exploring Operation: 156-93=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 51, 7, 48, 90 ]
86
[ "51-7=44", "90-48=42", "44+42=86" ]
Current State: 86:[51, 7, 48, 90], Operations: [] Exploring Operation: 51-7=44, Resulting Numbers: [48, 90, 44] Generated Node #2: [48, 90, 44] from Operation: 51-7=44 Current State: 86:[48, 90, 44], Operations: ['51-7=44'] Exploring Operation: 90-48=42, Resulting Numbers: [44, 42] Generated Node #3: [44, 42] from Operation: 90-48=42 Current State: 86:[44, 42], Operations: ['51-7=44', '90-48=42'] Exploring Operation: 44+42=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 45, 62, 24, 43 ]
36
[ "62-45=17", "43-24=19", "17+19=36" ]
Current State: 36:[45, 62, 24, 43], Operations: [] Exploring Operation: 62-45=17, Resulting Numbers: [24, 43, 17] Generated Node #2: [24, 43, 17] from Operation: 62-45=17 Current State: 36:[24, 43, 17], Operations: ['62-45=17'] Exploring Operation: 43-24=19, Resulting Numbers: [17, 19] Generated Node #3: [17, 19] from Operation: 43-24=19 Current State: 36:[17, 19], Operations: ['62-45=17', '43-24=19'] Exploring Operation: 17+19=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 7, 73, 24, 43 ]
99
[ "7+73=80", "43-24=19", "80+19=99" ]
Current State: 99:[7, 73, 24, 43], Operations: [] Exploring Operation: 7+73=80, Resulting Numbers: [24, 43, 80] Generated Node #2: [24, 43, 80] from Operation: 7+73=80 Current State: 99:[24, 43, 80], Operations: ['7+73=80'] Exploring Operation: 43-24=19, Resulting Numbers: [80, 19] Generated Node #3: [80, 19] from Operation: 43-24=19 Current State: 99:[80, 19], Operations: ['7+73=80', '43-24=19'] Exploring Operation: 80+19=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 61, 38, 59, 61 ]
98
[ "61/61=1", "38+59=97", "1+97=98" ]
Current State: 98:[61, 38, 59, 61], Operations: [] Exploring Operation: 61/61=1, Resulting Numbers: [38, 59, 1] Generated Node #2: [38, 59, 1] from Operation: 61/61=1 Current State: 98:[38, 59, 1], Operations: ['61/61=1'] Exploring Operation: 38+59=97, Resulting Numbers: [1, 97] Generated Node #3: [1, 97] from Operation: 38+59=97 Current State: 98:[1, 97], Operations: ['61/61=1', '38+59=97'] Exploring Operation: 1+97=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 2, 82, 60, 81 ]
29
[ "60/2=30", "82-81=1", "30-1=29" ]
Current State: 29:[2, 82, 60, 81], Operations: [] Exploring Operation: 60/2=30, Resulting Numbers: [82, 81, 30] Generated Node #2: [82, 81, 30] from Operation: 60/2=30 Current State: 29:[82, 81, 30], Operations: ['60/2=30'] Exploring Operation: 82-81=1, Resulting Numbers: [30, 1] Generated Node #3: [30, 1] from Operation: 82-81=1 Current State: 29:[30, 1], Operations: ['60/2=30', '82-81=1'] Exploring Operation: 30-1=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 87, 59, 17, 52 ]
61
[ "87+17=104", "104/52=2", "59+2=61" ]
Current State: 61:[87, 59, 17, 52], Operations: [] Exploring Operation: 87+17=104, Resulting Numbers: [59, 52, 104] Generated Node #2: [59, 52, 104] from Operation: 87+17=104 Current State: 61:[59, 52, 104], Operations: ['87+17=104'] Exploring Operation: 104/52=2, Resulting Numbers: [59, 2] Generated Node #3: [59, 2] from Operation: 104/52=2 Current State: 61:[59, 2], Operations: ['87+17=104', '104/52=2'] Exploring Operation: 59+2=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 87, 29, 26, 45 ]
74
[ "87/29=3", "26+45=71", "3+71=74" ]
Current State: 74:[87, 29, 26, 45], Operations: [] Exploring Operation: 87/29=3, Resulting Numbers: [26, 45, 3] Generated Node #2: [26, 45, 3] from Operation: 87/29=3 Current State: 74:[26, 45, 3], Operations: ['87/29=3'] Exploring Operation: 26+45=71, Resulting Numbers: [3, 71] Generated Node #3: [3, 71] from Operation: 26+45=71 Current State: 74:[3, 71], Operations: ['87/29=3', '26+45=71'] Exploring Operation: 3+71=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 5, 86, 24, 90 ]
40
[ "86+24=110", "90+110=200", "200/5=40" ]
Current State: 40:[5, 86, 24, 90], Operations: [] Exploring Operation: 86+24=110, Resulting Numbers: [5, 90, 110] Generated Node #2: [5, 90, 110] from Operation: 86+24=110 Current State: 40:[5, 90, 110], Operations: ['86+24=110'] Exploring Operation: 90+110=200, Resulting Numbers: [5, 200] Generated Node #3: [5, 200] from Operation: 90+110=200 Current State: 40:[5, 200], Operations: ['86+24=110', '90+110=200'] Exploring Operation: 200/5=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 58, 51, 63, 11 ]
62
[ "58+63=121", "121/11=11", "51+11=62" ]
Current State: 62:[58, 51, 63, 11], Operations: [] Exploring Operation: 58+63=121, Resulting Numbers: [51, 11, 121] Generated Node #2: [51, 11, 121] from Operation: 58+63=121 Current State: 62:[51, 11, 121], Operations: ['58+63=121'] Exploring Operation: 121/11=11, Resulting Numbers: [51, 11] Generated Node #3: [51, 11] from Operation: 121/11=11 Current State: 62:[51, 11], Operations: ['58+63=121', '121/11=11'] Exploring Operation: 51+11=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 33, 67, 13, 13 ]
26
[ "67*13=871", "871-13=858", "858/33=26" ]
Current State: 26:[33, 67, 13, 13], Operations: [] Exploring Operation: 67*13=871, Resulting Numbers: [33, 871] Generated Node #2: [33, 871] from Operation: 67*13=871 Current State: 26:[33, 871], Operations: ['67*13=871'] Exploring Operation: 871-13=858, Resulting Numbers: [33, 858] Generated Node #3: [33, 858] from Operation: 871-13=858 Current State: 26:[33, 858], Operations: ['67*13=871', '871-13=858'] Exploring Operation: 858/33=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 9, 5, 44, 35 ]
76
[ "44-35=9", "9*9=81", "81-5=76" ]
Current State: 76:[9, 5, 44, 35], Operations: [] Exploring Operation: 44-35=9, Resulting Numbers: [9, 5, 9] Generated Node #2: [9, 5, 9] from Operation: 44-35=9 Current State: 76:[9, 5, 9], Operations: ['44-35=9'] Exploring Operation: 9*9=81, Resulting Numbers: [5, 81] Generated Node #3: [5, 81] from Operation: 9*9=81 Current State: 76:[5, 81], Operations: ['44-35=9', '9*9=81'] Exploring Operation: 81-5=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 84, 3, 48, 9 ]
60
[ "48/3=16", "9*16=144", "144-84=60" ]
Current State: 60:[84, 3, 48, 9], Operations: [] Exploring Operation: 48/3=16, Resulting Numbers: [84, 9, 16] Generated Node #2: [84, 9, 16] from Operation: 48/3=16 Current State: 60:[84, 9, 16], Operations: ['48/3=16'] Exploring Operation: 9*16=144, Resulting Numbers: [84, 144] Generated Node #3: [84, 144] from Operation: 9*16=144 Current State: 60:[84, 144], Operations: ['48/3=16', '9*16=144'] Exploring Operation: 144-84=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 58, 55, 45, 11 ]
57
[ "58+55=113", "45+11=56", "113-56=57" ]
Current State: 57:[58, 55, 45, 11], Operations: [] Exploring Operation: 58+55=113, Resulting Numbers: [45, 11, 113] Generated Node #2: [45, 11, 113] from Operation: 58+55=113 Current State: 57:[45, 11, 113], Operations: ['58+55=113'] Exploring Operation: 45+11=56, Resulting Numbers: [113, 56] Generated Node #3: [113, 56] from Operation: 45+11=56 Current State: 57:[113, 56], Operations: ['58+55=113', '45+11=56'] Exploring Operation: 113-56=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 5, 23, 3, 68 ]
62
[ "23-5=18", "18/3=6", "68-6=62" ]
Current State: 62:[5, 23, 3, 68], Operations: [] Exploring Operation: 23-5=18, Resulting Numbers: [3, 68, 18] Generated Node #2: [3, 68, 18] from Operation: 23-5=18 Current State: 62:[3, 68, 18], Operations: ['23-5=18'] Exploring Operation: 18/3=6, Resulting Numbers: [68, 6] Generated Node #3: [68, 6] from Operation: 18/3=6 Current State: 62:[68, 6], Operations: ['23-5=18', '18/3=6'] Exploring Operation: 68-6=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 4, 72, 8, 46 ]
41
[ "4+46=50", "72/8=9", "50-9=41" ]
Current State: 41:[4, 72, 8, 46], Operations: [] Exploring Operation: 4+46=50, Resulting Numbers: [72, 8, 50] Generated Node #2: [72, 8, 50] from Operation: 4+46=50 Current State: 41:[72, 8, 50], Operations: ['4+46=50'] Exploring Operation: 72/8=9, Resulting Numbers: [50, 9] Generated Node #3: [50, 9] from Operation: 72/8=9 Current State: 41:[50, 9], Operations: ['4+46=50', '72/8=9'] Exploring Operation: 50-9=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 35, 73, 9, 2 ]
94
[ "73-35=38", "9+38=47", "2*47=94" ]
Current State: 94:[35, 73, 9, 2], Operations: [] Exploring Operation: 73-35=38, Resulting Numbers: [9, 2, 38] Generated Node #2: [9, 2, 38] from Operation: 73-35=38 Current State: 94:[9, 2, 38], Operations: ['73-35=38'] Exploring Operation: 9+38=47, Resulting Numbers: [2, 47] Generated Node #3: [2, 47] from Operation: 9+38=47 Current State: 94:[2, 47], Operations: ['73-35=38', '9+38=47'] Exploring Operation: 2*47=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 52, 93, 26, 17 ]
59
[ "52/26=2", "17*2=34", "93-34=59" ]
Current State: 59:[52, 93, 26, 17], Operations: [] Exploring Operation: 52/26=2, Resulting Numbers: [93, 17, 2] Generated Node #2: [93, 17, 2] from Operation: 52/26=2 Current State: 59:[93, 17, 2], Operations: ['52/26=2'] Exploring Operation: 17*2=34, Resulting Numbers: [93, 34] Generated Node #3: [93, 34] from Operation: 17*2=34 Current State: 59:[93, 34], Operations: ['52/26=2', '17*2=34'] Exploring Operation: 93-34=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 4, 95, 95, 42 ]
58
[ "95+95=190", "42+190=232", "232/4=58" ]
Current State: 58:[4, 95, 95, 42], Operations: [] Exploring Operation: 95+95=190, Resulting Numbers: [4, 42, 190] Generated Node #2: [4, 42, 190] from Operation: 95+95=190 Current State: 58:[4, 42, 190], Operations: ['95+95=190'] Exploring Operation: 42+190=232, Resulting Numbers: [4, 232] Generated Node #3: [4, 232] from Operation: 42+190=232 Current State: 58:[4, 232], Operations: ['95+95=190', '42+190=232'] Exploring Operation: 232/4=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 55, 72, 84, 12 ]
79
[ "72-55=17", "84+12=96", "96-17=79" ]
Current State: 79:[55, 72, 84, 12], Operations: [] Exploring Operation: 72-55=17, Resulting Numbers: [84, 12, 17] Generated Node #2: [84, 12, 17] from Operation: 72-55=17 Current State: 79:[84, 12, 17], Operations: ['72-55=17'] Exploring Operation: 84+12=96, Resulting Numbers: [17, 96] Generated Node #3: [17, 96] from Operation: 84+12=96 Current State: 79:[17, 96], Operations: ['72-55=17', '84+12=96'] Exploring Operation: 96-17=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 48, 57, 79, 19 ]
69
[ "57-48=9", "79-19=60", "9+60=69" ]
Current State: 69:[48, 57, 79, 19], Operations: [] Exploring Operation: 57-48=9, Resulting Numbers: [79, 19, 9] Generated Node #2: [79, 19, 9] from Operation: 57-48=9 Current State: 69:[79, 19, 9], Operations: ['57-48=9'] Exploring Operation: 79-19=60, Resulting Numbers: [9, 60] Generated Node #3: [9, 60] from Operation: 79-19=60 Current State: 69:[9, 60], Operations: ['57-48=9', '79-19=60'] Exploring Operation: 9+60=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 34, 18, 55, 2 ]
20
[ "34/2=17", "55-18=37", "37-17=20" ]
Current State: 20:[34, 18, 55, 2], Operations: [] Exploring Operation: 34/2=17, Resulting Numbers: [18, 55, 17] Generated Node #2: [18, 55, 17] from Operation: 34/2=17 Current State: 20:[18, 55, 17], Operations: ['34/2=17'] Exploring Operation: 55-18=37, Resulting Numbers: [17, 37] Generated Node #3: [17, 37] from Operation: 55-18=37 Current State: 20:[17, 37], Operations: ['34/2=17', '55-18=37'] Exploring Operation: 37-17=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 73, 51, 7, 2 ]
22
[ "73+7=80", "51*2=102", "102-80=22" ]
Current State: 22:[73, 51, 7, 2], Operations: [] Exploring Operation: 73+7=80, Resulting Numbers: [51, 2, 80] Generated Node #2: [51, 2, 80] from Operation: 73+7=80 Current State: 22:[51, 2, 80], Operations: ['73+7=80'] Exploring Operation: 51*2=102, Resulting Numbers: [80, 102] Generated Node #3: [80, 102] from Operation: 51*2=102 Current State: 22:[80, 102], Operations: ['73+7=80', '51*2=102'] Exploring Operation: 102-80=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 64, 52, 32, 4 ]
69
[ "52-32=20", "20/4=5", "64+5=69" ]
Current State: 69:[64, 52, 32, 4], Operations: [] Exploring Operation: 52-32=20, Resulting Numbers: [64, 4, 20] Generated Node #2: [64, 4, 20] from Operation: 52-32=20 Current State: 69:[64, 4, 20], Operations: ['52-32=20'] Exploring Operation: 20/4=5, Resulting Numbers: [64, 5] Generated Node #3: [64, 5] from Operation: 20/4=5 Current State: 69:[64, 5], Operations: ['52-32=20', '20/4=5'] Exploring Operation: 64+5=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 55, 73, 99, 16 ]
97
[ "73-55=18", "99+16=115", "115-18=97" ]
Current State: 97:[55, 73, 99, 16], Operations: [] Exploring Operation: 73-55=18, Resulting Numbers: [99, 16, 18] Generated Node #2: [99, 16, 18] from Operation: 73-55=18 Current State: 97:[99, 16, 18], Operations: ['73-55=18'] Exploring Operation: 99+16=115, Resulting Numbers: [18, 115] Generated Node #3: [18, 115] from Operation: 99+16=115 Current State: 97:[18, 115], Operations: ['73-55=18', '99+16=115'] Exploring Operation: 115-18=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 80, 56, 48, 34 ]
17
[ "80-56=24", "48/24=2", "34/2=17" ]
Current State: 17:[80, 56, 48, 34], Operations: [] Exploring Operation: 80-56=24, Resulting Numbers: [48, 34, 24] Generated Node #2: [48, 34, 24] from Operation: 80-56=24 Current State: 17:[48, 34, 24], Operations: ['80-56=24'] Exploring Operation: 48/24=2, Resulting Numbers: [34, 2] Generated Node #3: [34, 2] from Operation: 48/24=2 Current State: 17:[34, 2], Operations: ['80-56=24', '48/24=2'] Exploring Operation: 34/2=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 1, 64, 8, 53 ]
13
[ "1+8=9", "64+53=117", "117/9=13" ]
Current State: 13:[1, 64, 8, 53], Operations: [] Exploring Operation: 1+8=9, Resulting Numbers: [64, 53, 9] Generated Node #2: [64, 53, 9] from Operation: 1+8=9 Current State: 13:[64, 53, 9], Operations: ['1+8=9'] Exploring Operation: 64+53=117, Resulting Numbers: [9, 117] Generated Node #3: [9, 117] from Operation: 64+53=117 Current State: 13:[9, 117], Operations: ['1+8=9', '64+53=117'] Exploring Operation: 117/9=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 1, 83, 88, 3 ]
16
[ "88-83=5", "3*5=15", "1+15=16" ]
Current State: 16:[1, 83, 88, 3], Operations: [] Exploring Operation: 88-83=5, Resulting Numbers: [1, 3, 5] Generated Node #2: [1, 3, 5] from Operation: 88-83=5 Current State: 16:[1, 3, 5], Operations: ['88-83=5'] Exploring Operation: 3*5=15, Resulting Numbers: [1, 15] Generated Node #3: [1, 15] from Operation: 3*5=15 Current State: 16:[1, 15], Operations: ['88-83=5', '3*5=15'] Exploring Operation: 1+15=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 10, 46, 77, 28 ]
30
[ "77-46=31", "31-28=3", "10*3=30" ]
Current State: 30:[10, 46, 77, 28], Operations: [] Exploring Operation: 77-46=31, Resulting Numbers: [10, 28, 31] Generated Node #2: [10, 28, 31] from Operation: 77-46=31 Current State: 30:[10, 28, 31], Operations: ['77-46=31'] Exploring Operation: 31-28=3, Resulting Numbers: [10, 3] Generated Node #3: [10, 3] from Operation: 31-28=3 Current State: 30:[10, 3], Operations: ['77-46=31', '31-28=3'] Exploring Operation: 10*3=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 70, 17, 17, 35 ]
34
[ "70-35=35", "17/17=1", "35-1=34" ]
Current State: 34:[70, 17, 17, 35], Operations: [] Exploring Operation: 70-35=35, Resulting Numbers: [17, 17, 35] Generated Node #2: [17, 17, 35] from Operation: 70-35=35 Current State: 34:[17, 17, 35], Operations: ['70-35=35'] Exploring Operation: 17/17=1, Resulting Numbers: [35, 1] Generated Node #3: [35, 1] from Operation: 17/17=1 Current State: 34:[35, 1], Operations: ['70-35=35', '17/17=1'] Exploring Operation: 35-1=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 36, 3, 41, 93 ]
64
[ "36/3=12", "93-41=52", "12+52=64" ]
Current State: 64:[36, 3, 41, 93], Operations: [] Exploring Operation: 36/3=12, Resulting Numbers: [41, 93, 12] Generated Node #2: [41, 93, 12] from Operation: 36/3=12 Current State: 64:[41, 93, 12], Operations: ['36/3=12'] Exploring Operation: 93-41=52, Resulting Numbers: [12, 52] Generated Node #3: [12, 52] from Operation: 93-41=52 Current State: 64:[12, 52], Operations: ['36/3=12', '93-41=52'] Exploring Operation: 12+52=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 90, 23, 8, 64 ]
70
[ "23-8=15", "90/15=6", "64+6=70" ]
Current State: 70:[90, 23, 8, 64], Operations: [] Exploring Operation: 23-8=15, Resulting Numbers: [90, 64, 15] Generated Node #2: [90, 64, 15] from Operation: 23-8=15 Current State: 70:[90, 64, 15], Operations: ['23-8=15'] Exploring Operation: 90/15=6, Resulting Numbers: [64, 6] Generated Node #3: [64, 6] from Operation: 90/15=6 Current State: 70:[64, 6], Operations: ['23-8=15', '90/15=6'] Exploring Operation: 64+6=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 58, 9, 47, 42 ]
13
[ "47-42=5", "9*5=45", "58-45=13" ]
Current State: 13:[58, 9, 47, 42], Operations: [] Exploring Operation: 47-42=5, Resulting Numbers: [58, 9, 5] Generated Node #2: [58, 9, 5] from Operation: 47-42=5 Current State: 13:[58, 9, 5], Operations: ['47-42=5'] Exploring Operation: 9*5=45, Resulting Numbers: [58, 45] Generated Node #3: [58, 45] from Operation: 9*5=45 Current State: 13:[58, 45], Operations: ['47-42=5', '9*5=45'] Exploring Operation: 58-45=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 1, 19, 34, 1 ]
19
[ "1-1=0", "34*0=0", "19+0=19" ]
Current State: 19:[1, 19, 34, 1], Operations: [] Exploring Operation: 1-1=0, Resulting Numbers: [19, 34, 0] Generated Node #2: [19, 34, 0] from Operation: 1-1=0 Current State: 19:[19, 34, 0], Operations: ['1-1=0'] Exploring Operation: 34*0=0, Resulting Numbers: [19, 0] Generated Node #3: [19, 0] from Operation: 34*0=0 Current State: 19:[19, 0], Operations: ['1-1=0', '34*0=0'] Exploring Operation: 19+0=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 73, 55, 89, 77 ]
30
[ "73-55=18", "89-77=12", "18+12=30" ]
Current State: 30:[73, 55, 89, 77], Operations: [] Exploring Operation: 73-55=18, Resulting Numbers: [89, 77, 18] Generated Node #2: [89, 77, 18] from Operation: 73-55=18 Current State: 30:[89, 77, 18], Operations: ['73-55=18'] Exploring Operation: 89-77=12, Resulting Numbers: [18, 12] Generated Node #3: [18, 12] from Operation: 89-77=12 Current State: 30:[18, 12], Operations: ['73-55=18', '89-77=12'] Exploring Operation: 18+12=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 55, 5, 82, 20 ]
79
[ "55+5=60", "60/20=3", "82-3=79" ]
Current State: 79:[55, 5, 82, 20], Operations: [] Exploring Operation: 55+5=60, Resulting Numbers: [82, 20, 60] Generated Node #2: [82, 20, 60] from Operation: 55+5=60 Current State: 79:[82, 20, 60], Operations: ['55+5=60'] Exploring Operation: 60/20=3, Resulting Numbers: [82, 3] Generated Node #3: [82, 3] from Operation: 60/20=3 Current State: 79:[82, 3], Operations: ['55+5=60', '60/20=3'] Exploring Operation: 82-3=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4