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
[ 90, 36, 67, 82 ]
95
[ "90-36=54", "67+82=149", "149-54=95" ]
Current State: 95:[90, 36, 67, 82], Operations: [] Exploring Operation: 90-36=54, Resulting Numbers: [67, 82, 54] Generated Node #2: [67, 82, 54] from Operation: 90-36=54 Current State: 95:[67, 82, 54], Operations: ['90-36=54'] Exploring Operation: 67+82=149, Resulting Numbers: [54, 149] Generated Node #3: [54, 149] from Operation: 67+82=149 Current State: 95:[54, 149], Operations: ['90-36=54', '67+82=149'] Exploring Operation: 149-54=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 20, 80, 83, 97 ]
39
[ "20+97=117", "83-80=3", "117/3=39" ]
Current State: 39:[20, 80, 83, 97], Operations: [] Exploring Operation: 20+97=117, Resulting Numbers: [80, 83, 117] Generated Node #2: [80, 83, 117] from Operation: 20+97=117 Current State: 39:[80, 83, 117], Operations: ['20+97=117'] Exploring Operation: 83-80=3, Resulting Numbers: [117, 3] Generated Node #3: [117, 3] from Operation: 83-80=3 Current State: 39:[117, 3], Operations: ['20+97=117', '83-80=3'] Exploring Operation: 117/3=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 35, 61, 1, 5 ]
24
[ "35+61=96", "5-1=4", "96/4=24" ]
Current State: 24:[35, 61, 1, 5], Operations: [] Exploring Operation: 35+61=96, Resulting Numbers: [1, 5, 96] Generated Node #2: [1, 5, 96] from Operation: 35+61=96 Current State: 24:[1, 5, 96], Operations: ['35+61=96'] Exploring Operation: 5-1=4, Resulting Numbers: [96, 4] Generated Node #3: [96, 4] from Operation: 5-1=4 Current State: 24:[96, 4], Operations: ['35+61=96', '5-1=4'] Exploring Operation: 96/4=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 84, 49, 9, 5 ]
49
[ "84-49=35", "9+5=14", "35+14=49" ]
Current State: 49:[84, 49, 9, 5], Operations: [] Exploring Operation: 84-49=35, Resulting Numbers: [9, 5, 35] Generated Node #2: [9, 5, 35] from Operation: 84-49=35 Current State: 49:[9, 5, 35], Operations: ['84-49=35'] Exploring Operation: 9+5=14, Resulting Numbers: [35, 14] Generated Node #3: [35, 14] from Operation: 9+5=14 Current State: 49:[35, 14], Operations: ['84-49=35', '9+5=14'] Exploring Operation: 35+14=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 55, 15, 99, 52 ]
28
[ "55-52=3", "99-15=84", "84/3=28" ]
Current State: 28:[55, 15, 99, 52], Operations: [] Exploring Operation: 55-52=3, Resulting Numbers: [15, 99, 3] Generated Node #2: [15, 99, 3] from Operation: 55-52=3 Current State: 28:[15, 99, 3], Operations: ['55-52=3'] Exploring Operation: 99-15=84, Resulting Numbers: [3, 84] Generated Node #3: [3, 84] from Operation: 99-15=84 Current State: 28:[3, 84], Operations: ['55-52=3', '99-15=84'] Exploring Operation: 84/3=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 31, 22, 31, 5 ]
76
[ "31-22=9", "5*9=45", "31+45=76" ]
Current State: 76:[31, 22, 31, 5], Operations: [] Exploring Operation: 31-22=9, Resulting Numbers: [5, 9] Generated Node #2: [5, 9] from Operation: 31-22=9 Current State: 76:[5, 9], Operations: ['31-22=9'] Exploring Operation: 5*9=45, Resulting Numbers: [45] 45,76 equal: Goal Reached Exploring Operation: 31+45=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 45, 57, 64, 76 ]
38
[ "45+57=102", "64+76=140", "140-102=38" ]
Current State: 38:[45, 57, 64, 76], Operations: [] Exploring Operation: 45+57=102, Resulting Numbers: [64, 76, 102] Generated Node #2: [64, 76, 102] from Operation: 45+57=102 Current State: 38:[64, 76, 102], Operations: ['45+57=102'] Exploring Operation: 64+76=140, Resulting Numbers: [102, 140] Generated Node #3: [102, 140] from Operation: 64+76=140 Current State: 38:[102, 140], Operations: ['45+57=102', '64+76=140'] Exploring Operation: 140-102=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 3, 37, 49, 81 ]
72
[ "3+37=40", "81-49=32", "40+32=72" ]
Current State: 72:[3, 37, 49, 81], Operations: [] Exploring Operation: 3+37=40, Resulting Numbers: [49, 81, 40] Generated Node #2: [49, 81, 40] from Operation: 3+37=40 Current State: 72:[49, 81, 40], Operations: ['3+37=40'] Exploring Operation: 81-49=32, Resulting Numbers: [40, 32] Generated Node #3: [40, 32] from Operation: 81-49=32 Current State: 72:[40, 32], Operations: ['3+37=40', '81-49=32'] Exploring Operation: 40+32=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 45, 1, 72, 35 ]
57
[ "72*35=2520", "2520/45=56", "1+56=57" ]
Current State: 57:[45, 1, 72, 35], Operations: [] Exploring Operation: 72*35=2520, Resulting Numbers: [45, 1, 2520] Generated Node #2: [45, 1, 2520] from Operation: 72*35=2520 Current State: 57:[45, 1, 2520], Operations: ['72*35=2520'] Exploring Operation: 2520/45=56, Resulting Numbers: [1, 56] Generated Node #3: [1, 56] from Operation: 2520/45=56 Current State: 57:[1, 56], Operations: ['72*35=2520', '2520/45=56'] Exploring Operation: 1+56=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 11, 81, 71, 81 ]
82
[ "11+81=92", "81-71=10", "92-10=82" ]
Current State: 82:[11, 81, 71, 81], Operations: [] Exploring Operation: 11+81=92, Resulting Numbers: [71, 92] Generated Node #2: [71, 92] from Operation: 11+81=92 Current State: 82:[71, 92], Operations: ['11+81=92'] Exploring Operation: 81-71=10, Resulting Numbers: [92, 10] Generated Node #3: [92, 10] from Operation: 81-71=10 Current State: 82:[92, 10], Operations: ['11+81=92', '81-71=10'] Exploring Operation: 92-10=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 41, 96, 3, 70 ]
61
[ "70-41=29", "96/3=32", "29+32=61" ]
Current State: 61:[41, 96, 3, 70], Operations: [] Exploring Operation: 70-41=29, Resulting Numbers: [96, 3, 29] Generated Node #2: [96, 3, 29] from Operation: 70-41=29 Current State: 61:[96, 3, 29], Operations: ['70-41=29'] Exploring Operation: 96/3=32, Resulting Numbers: [29, 32] Generated Node #3: [29, 32] from Operation: 96/3=32 Current State: 61:[29, 32], Operations: ['70-41=29', '96/3=32'] Exploring Operation: 29+32=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 36, 67, 41, 27 ]
68
[ "41-36=5", "27*5=135", "135-67=68" ]
Current State: 68:[36, 67, 41, 27], Operations: [] Exploring Operation: 41-36=5, Resulting Numbers: [67, 27, 5] Generated Node #2: [67, 27, 5] from Operation: 41-36=5 Current State: 68:[67, 27, 5], Operations: ['41-36=5'] Exploring Operation: 27*5=135, Resulting Numbers: [67, 135] Generated Node #3: [67, 135] from Operation: 27*5=135 Current State: 68:[67, 135], Operations: ['41-36=5', '27*5=135'] Exploring Operation: 135-67=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 6, 8, 59, 19 ]
64
[ "6+8=14", "59+19=78", "78-14=64" ]
Current State: 64:[6, 8, 59, 19], Operations: [] Exploring Operation: 6+8=14, Resulting Numbers: [59, 19, 14] Generated Node #2: [59, 19, 14] from Operation: 6+8=14 Current State: 64:[59, 19, 14], Operations: ['6+8=14'] Exploring Operation: 59+19=78, Resulting Numbers: [14, 78] Generated Node #3: [14, 78] from Operation: 59+19=78 Current State: 64:[14, 78], Operations: ['6+8=14', '59+19=78'] Exploring Operation: 78-14=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 52, 92, 20, 73 ]
51
[ "52+92=144", "20+73=93", "144-93=51" ]
Current State: 51:[52, 92, 20, 73], Operations: [] Exploring Operation: 52+92=144, Resulting Numbers: [20, 73, 144] Generated Node #2: [20, 73, 144] from Operation: 52+92=144 Current State: 51:[20, 73, 144], Operations: ['52+92=144'] Exploring Operation: 20+73=93, Resulting Numbers: [144, 93] Generated Node #3: [144, 93] from Operation: 20+73=93 Current State: 51:[144, 93], Operations: ['52+92=144', '20+73=93'] Exploring Operation: 144-93=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 50, 2, 36, 27 ]
88
[ "50/2=25", "36+27=63", "25+63=88" ]
Current State: 88:[50, 2, 36, 27], Operations: [] Exploring Operation: 50/2=25, Resulting Numbers: [36, 27, 25] Generated Node #2: [36, 27, 25] from Operation: 50/2=25 Current State: 88:[36, 27, 25], Operations: ['50/2=25'] Exploring Operation: 36+27=63, Resulting Numbers: [25, 63] Generated Node #3: [25, 63] from Operation: 36+27=63 Current State: 88:[25, 63], Operations: ['50/2=25', '36+27=63'] Exploring Operation: 25+63=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 67, 66, 99, 69 ]
35
[ "67+66=133", "99+69=168", "168-133=35" ]
Current State: 35:[67, 66, 99, 69], Operations: [] Exploring Operation: 67+66=133, Resulting Numbers: [99, 69, 133] Generated Node #2: [99, 69, 133] from Operation: 67+66=133 Current State: 35:[99, 69, 133], Operations: ['67+66=133'] Exploring Operation: 99+69=168, Resulting Numbers: [133, 168] Generated Node #3: [133, 168] from Operation: 99+69=168 Current State: 35:[133, 168], Operations: ['67+66=133', '99+69=168'] Exploring Operation: 168-133=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 39, 20, 11, 41 ]
42
[ "41-39=2", "11*2=22", "20+22=42" ]
Current State: 42:[39, 20, 11, 41], Operations: [] Exploring Operation: 41-39=2, Resulting Numbers: [20, 11, 2] Generated Node #2: [20, 11, 2] from Operation: 41-39=2 Current State: 42:[20, 11, 2], Operations: ['41-39=2'] Exploring Operation: 11*2=22, Resulting Numbers: [20, 22] Generated Node #3: [20, 22] from Operation: 11*2=22 Current State: 42:[20, 22], Operations: ['41-39=2', '11*2=22'] Exploring Operation: 20+22=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 16, 57, 81, 57 ]
17
[ "57-16=41", "81-57=24", "41-24=17" ]
Current State: 17:[16, 57, 81, 57], Operations: [] Exploring Operation: 57-16=41, Resulting Numbers: [81, 41] Generated Node #2: [81, 41] from Operation: 57-16=41 Current State: 17:[81, 41], Operations: ['57-16=41'] Exploring Operation: 81-57=24, Resulting Numbers: [41, 24] Generated Node #3: [41, 24] from Operation: 81-57=24 Current State: 17:[41, 24], Operations: ['57-16=41', '81-57=24'] Exploring Operation: 41-24=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 48, 2, 16, 27 ]
59
[ "48+16=64", "64/2=32", "27+32=59" ]
Current State: 59:[48, 2, 16, 27], Operations: [] Exploring Operation: 48+16=64, Resulting Numbers: [2, 27, 64] Generated Node #2: [2, 27, 64] from Operation: 48+16=64 Current State: 59:[2, 27, 64], Operations: ['48+16=64'] Exploring Operation: 64/2=32, Resulting Numbers: [27, 32] Generated Node #3: [27, 32] from Operation: 64/2=32 Current State: 59:[27, 32], Operations: ['48+16=64', '64/2=32'] Exploring Operation: 27+32=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 2, 11, 1, 25 ]
11
[ "2+11=13", "25-1=24", "24-13=11" ]
Current State: 11:[2, 11, 1, 25], Operations: [] Exploring Operation: 2+11=13, Resulting Numbers: [1, 25, 13] Generated Node #2: [1, 25, 13] from Operation: 2+11=13 Current State: 11:[1, 25, 13], Operations: ['2+11=13'] Exploring Operation: 25-1=24, Resulting Numbers: [13, 24] Generated Node #3: [13, 24] from Operation: 25-1=24 Current State: 11:[13, 24], Operations: ['2+11=13', '25-1=24'] Exploring Operation: 24-13=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 27, 73, 12, 16 ]
74
[ "73-27=46", "12+16=28", "46+28=74" ]
Current State: 74:[27, 73, 12, 16], Operations: [] Exploring Operation: 73-27=46, Resulting Numbers: [12, 16, 46] Generated Node #2: [12, 16, 46] from Operation: 73-27=46 Current State: 74:[12, 16, 46], Operations: ['73-27=46'] Exploring Operation: 12+16=28, Resulting Numbers: [46, 28] Generated Node #3: [46, 28] from Operation: 12+16=28 Current State: 74:[46, 28], Operations: ['73-27=46', '12+16=28'] Exploring Operation: 46+28=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 37, 9, 59, 23 ]
67
[ "37-23=14", "9*14=126", "126-59=67" ]
Current State: 67:[37, 9, 59, 23], Operations: [] Exploring Operation: 37-23=14, Resulting Numbers: [9, 59, 14] Generated Node #2: [9, 59, 14] from Operation: 37-23=14 Current State: 67:[9, 59, 14], Operations: ['37-23=14'] Exploring Operation: 9*14=126, Resulting Numbers: [59, 126] Generated Node #3: [59, 126] from Operation: 9*14=126 Current State: 67:[59, 126], Operations: ['37-23=14', '9*14=126'] Exploring Operation: 126-59=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 14, 64, 5, 73 ]
83
[ "64-14=50", "50/5=10", "73+10=83" ]
Current State: 83:[14, 64, 5, 73], Operations: [] Exploring Operation: 64-14=50, Resulting Numbers: [5, 73, 50] Generated Node #2: [5, 73, 50] from Operation: 64-14=50 Current State: 83:[5, 73, 50], Operations: ['64-14=50'] Exploring Operation: 50/5=10, Resulting Numbers: [73, 10] Generated Node #3: [73, 10] from Operation: 50/5=10 Current State: 83:[73, 10], Operations: ['64-14=50', '50/5=10'] Exploring Operation: 73+10=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 14, 78, 58, 56 ]
32
[ "78-14=64", "58-56=2", "64/2=32" ]
Current State: 32:[14, 78, 58, 56], Operations: [] Exploring Operation: 78-14=64, Resulting Numbers: [58, 56, 64] Generated Node #2: [58, 56, 64] from Operation: 78-14=64 Current State: 32:[58, 56, 64], Operations: ['78-14=64'] Exploring Operation: 58-56=2, Resulting Numbers: [64, 2] Generated Node #3: [64, 2] from Operation: 58-56=2 Current State: 32:[64, 2], Operations: ['78-14=64', '58-56=2'] Exploring Operation: 64/2=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 75, 33, 98, 97 ]
87
[ "75+33=108", "98+97=195", "195-108=87" ]
Current State: 87:[75, 33, 98, 97], Operations: [] Exploring Operation: 75+33=108, Resulting Numbers: [98, 97, 108] Generated Node #2: [98, 97, 108] from Operation: 75+33=108 Current State: 87:[98, 97, 108], Operations: ['75+33=108'] Exploring Operation: 98+97=195, Resulting Numbers: [108, 195] Generated Node #3: [108, 195] from Operation: 98+97=195 Current State: 87:[108, 195], Operations: ['75+33=108', '98+97=195'] Exploring Operation: 195-108=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 21, 26, 6, 10 ]
31
[ "21+26=47", "6+10=16", "47-16=31" ]
Current State: 31:[21, 26, 6, 10], Operations: [] Exploring Operation: 21+26=47, Resulting Numbers: [6, 10, 47] Generated Node #2: [6, 10, 47] from Operation: 21+26=47 Current State: 31:[6, 10, 47], Operations: ['21+26=47'] Exploring Operation: 6+10=16, Resulting Numbers: [47, 16] Generated Node #3: [47, 16] from Operation: 6+10=16 Current State: 31:[47, 16], Operations: ['21+26=47', '6+10=16'] Exploring Operation: 47-16=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 94, 9, 9, 18 ]
87
[ "94-9=85", "18/9=2", "85+2=87" ]
Current State: 87:[94, 9, 9, 18], Operations: [] Exploring Operation: 94-9=85, Resulting Numbers: [18, 85] Generated Node #2: [18, 85] from Operation: 94-9=85 Current State: 87:[18, 85], Operations: ['94-9=85'] Exploring Operation: 18/9=2, Resulting Numbers: [85, 2] Generated Node #3: [85, 2] from Operation: 18/9=2 Current State: 87:[85, 2], Operations: ['94-9=85', '18/9=2'] Exploring Operation: 85+2=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 21, 64, 10, 35 ]
95
[ "21*35=735", "64*10=640", "735-640=95" ]
Current State: 95:[21, 64, 10, 35], Operations: [] Exploring Operation: 21*35=735, Resulting Numbers: [64, 10, 735] Generated Node #2: [64, 10, 735] from Operation: 21*35=735 Current State: 95:[64, 10, 735], Operations: ['21*35=735'] Exploring Operation: 64*10=640, Resulting Numbers: [735, 640] Generated Node #3: [735, 640] from Operation: 64*10=640 Current State: 95:[735, 640], Operations: ['21*35=735', '64*10=640'] Exploring Operation: 735-640=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 92, 45, 28, 85 ]
66
[ "92-45=47", "28+85=113", "113-47=66" ]
Current State: 66:[92, 45, 28, 85], Operations: [] Exploring Operation: 92-45=47, Resulting Numbers: [28, 85, 47] Generated Node #2: [28, 85, 47] from Operation: 92-45=47 Current State: 66:[28, 85, 47], Operations: ['92-45=47'] Exploring Operation: 28+85=113, Resulting Numbers: [47, 113] Generated Node #3: [47, 113] from Operation: 28+85=113 Current State: 66:[47, 113], Operations: ['92-45=47', '28+85=113'] Exploring Operation: 113-47=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 52, 18, 35, 54 ]
36
[ "35*54=1890", "1890-18=1872", "1872/52=36" ]
Current State: 36:[52, 18, 35, 54], Operations: [] Exploring Operation: 35*54=1890, Resulting Numbers: [52, 18, 1890] Generated Node #2: [52, 18, 1890] from Operation: 35*54=1890 Current State: 36:[52, 18, 1890], Operations: ['35*54=1890'] Exploring Operation: 1890-18=1872, Resulting Numbers: [52, 1872] Generated Node #3: [52, 1872] from Operation: 1890-18=1872 Current State: 36:[52, 1872], Operations: ['35*54=1890', '1890-18=1872'] Exploring Operation: 1872/52=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 78, 73, 91, 34 ]
25
[ "78-73=5", "91+34=125", "125/5=25" ]
Current State: 25:[78, 73, 91, 34], Operations: [] Exploring Operation: 78-73=5, Resulting Numbers: [91, 34, 5] Generated Node #2: [91, 34, 5] from Operation: 78-73=5 Current State: 25:[91, 34, 5], Operations: ['78-73=5'] Exploring Operation: 91+34=125, Resulting Numbers: [5, 125] Generated Node #3: [5, 125] from Operation: 91+34=125 Current State: 25:[5, 125], Operations: ['78-73=5', '91+34=125'] Exploring Operation: 125/5=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 25, 3, 50, 2 ]
100
[ "25*3=75", "50/2=25", "75+25=100" ]
Current State: 100:[25, 3, 50, 2], Operations: [] Exploring Operation: 25*3=75, Resulting Numbers: [50, 2, 75] Generated Node #2: [50, 2, 75] from Operation: 25*3=75 Current State: 100:[50, 2, 75], Operations: ['25*3=75'] Exploring Operation: 50/2=25, Resulting Numbers: [75, 25] Generated Node #3: [75, 25] from Operation: 50/2=25 Current State: 100:[75, 25], Operations: ['25*3=75', '50/2=25'] Exploring Operation: 75+25=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 90, 34, 21, 65 ]
100
[ "90-34=56", "65-21=44", "56+44=100" ]
Current State: 100:[90, 34, 21, 65], Operations: [] Exploring Operation: 90-34=56, Resulting Numbers: [21, 65, 56] Generated Node #2: [21, 65, 56] from Operation: 90-34=56 Current State: 100:[21, 65, 56], Operations: ['90-34=56'] Exploring Operation: 65-21=44, Resulting Numbers: [56, 44] Generated Node #3: [56, 44] from Operation: 65-21=44 Current State: 100:[56, 44], Operations: ['90-34=56', '65-21=44'] Exploring Operation: 56+44=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 2, 86, 1, 96 ]
18
[ "86+1=87", "96-87=9", "2*9=18" ]
Current State: 18:[2, 86, 1, 96], Operations: [] Exploring Operation: 86+1=87, Resulting Numbers: [2, 96, 87] Generated Node #2: [2, 96, 87] from Operation: 86+1=87 Current State: 18:[2, 96, 87], Operations: ['86+1=87'] Exploring Operation: 96-87=9, Resulting Numbers: [2, 9] Generated Node #3: [2, 9] from Operation: 96-87=9 Current State: 18:[2, 9], Operations: ['86+1=87', '96-87=9'] Exploring Operation: 2*9=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 9, 70, 72, 36 ]
90
[ "9+36=45", "72-70=2", "45*2=90" ]
Current State: 90:[9, 70, 72, 36], Operations: [] Exploring Operation: 9+36=45, Resulting Numbers: [70, 72, 45] Generated Node #2: [70, 72, 45] from Operation: 9+36=45 Current State: 90:[70, 72, 45], Operations: ['9+36=45'] Exploring Operation: 72-70=2, Resulting Numbers: [45, 2] Generated Node #3: [45, 2] from Operation: 72-70=2 Current State: 90:[45, 2], Operations: ['9+36=45', '72-70=2'] Exploring Operation: 45*2=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 3, 99, 78, 6 ]
95
[ "3+99=102", "102/6=17", "78+17=95" ]
Current State: 95:[3, 99, 78, 6], Operations: [] Exploring Operation: 3+99=102, Resulting Numbers: [78, 6, 102] Generated Node #2: [78, 6, 102] from Operation: 3+99=102 Current State: 95:[78, 6, 102], Operations: ['3+99=102'] Exploring Operation: 102/6=17, Resulting Numbers: [78, 17] Generated Node #3: [78, 17] from Operation: 102/6=17 Current State: 95:[78, 17], Operations: ['3+99=102', '102/6=17'] Exploring Operation: 78+17=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 46, 78, 96, 37 ]
27
[ "78-46=32", "96-37=59", "59-32=27" ]
Current State: 27:[46, 78, 96, 37], Operations: [] Exploring Operation: 78-46=32, Resulting Numbers: [96, 37, 32] Generated Node #2: [96, 37, 32] from Operation: 78-46=32 Current State: 27:[96, 37, 32], Operations: ['78-46=32'] Exploring Operation: 96-37=59, Resulting Numbers: [32, 59] Generated Node #3: [32, 59] from Operation: 96-37=59 Current State: 27:[32, 59], Operations: ['78-46=32', '96-37=59'] Exploring Operation: 59-32=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 91, 56, 94, 69 ]
10
[ "91-56=35", "94-69=25", "35-25=10" ]
Current State: 10:[91, 56, 94, 69], Operations: [] Exploring Operation: 91-56=35, Resulting Numbers: [94, 69, 35] Generated Node #2: [94, 69, 35] from Operation: 91-56=35 Current State: 10:[94, 69, 35], Operations: ['91-56=35'] Exploring Operation: 94-69=25, Resulting Numbers: [35, 25] Generated Node #3: [35, 25] from Operation: 94-69=25 Current State: 10:[35, 25], Operations: ['91-56=35', '94-69=25'] Exploring Operation: 35-25=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 3, 39, 21, 87 ]
21
[ "39+87=126", "126/3=42", "42-21=21" ]
Current State: 21:[3, 39, 21, 87], Operations: [] Exploring Operation: 39+87=126, Resulting Numbers: [3, 21, 126] Generated Node #2: [3, 21, 126] from Operation: 39+87=126 Current State: 21:[3, 21, 126], Operations: ['39+87=126'] Exploring Operation: 126/3=42, Resulting Numbers: [21, 42] Generated Node #3: [21, 42] from Operation: 126/3=42 Current State: 21:[21, 42], Operations: ['39+87=126', '126/3=42'] Exploring Operation: 42-21=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 39, 32, 63, 12 ]
44
[ "39-32=7", "63-12=51", "51-7=44" ]
Current State: 44:[39, 32, 63, 12], Operations: [] Exploring Operation: 39-32=7, Resulting Numbers: [63, 12, 7] Generated Node #2: [63, 12, 7] from Operation: 39-32=7 Current State: 44:[63, 12, 7], Operations: ['39-32=7'] Exploring Operation: 63-12=51, Resulting Numbers: [7, 51] Generated Node #3: [7, 51] from Operation: 63-12=51 Current State: 44:[7, 51], Operations: ['39-32=7', '63-12=51'] Exploring Operation: 51-7=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 24, 50, 19, 21 ]
66
[ "50-24=26", "19+21=40", "26+40=66" ]
Current State: 66:[24, 50, 19, 21], Operations: [] Exploring Operation: 50-24=26, Resulting Numbers: [19, 21, 26] Generated Node #2: [19, 21, 26] from Operation: 50-24=26 Current State: 66:[19, 21, 26], Operations: ['50-24=26'] Exploring Operation: 19+21=40, Resulting Numbers: [26, 40] Generated Node #3: [26, 40] from Operation: 19+21=40 Current State: 66:[26, 40], Operations: ['50-24=26', '19+21=40'] Exploring Operation: 26+40=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 20, 42, 20, 92 ]
51
[ "20/20=1", "92-42=50", "1+50=51" ]
Current State: 51:[20, 42, 20, 92], Operations: [] Exploring Operation: 20/20=1, Resulting Numbers: [42, 92, 1] Generated Node #2: [42, 92, 1] from Operation: 20/20=1 Current State: 51:[42, 92, 1], Operations: ['20/20=1'] Exploring Operation: 92-42=50, Resulting Numbers: [1, 50] Generated Node #3: [1, 50] from Operation: 92-42=50 Current State: 51:[1, 50], Operations: ['20/20=1', '92-42=50'] Exploring Operation: 1+50=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 42, 56, 12, 76 ]
74
[ "56-42=14", "12+76=88", "88-14=74" ]
Current State: 74:[42, 56, 12, 76], Operations: [] Exploring Operation: 56-42=14, Resulting Numbers: [12, 76, 14] Generated Node #2: [12, 76, 14] from Operation: 56-42=14 Current State: 74:[12, 76, 14], Operations: ['56-42=14'] Exploring Operation: 12+76=88, Resulting Numbers: [14, 88] Generated Node #3: [14, 88] from Operation: 12+76=88 Current State: 74:[14, 88], Operations: ['56-42=14', '12+76=88'] Exploring Operation: 88-14=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 19, 66, 37, 59 ]
63
[ "19+66=85", "59-37=22", "85-22=63" ]
Current State: 63:[19, 66, 37, 59], Operations: [] Exploring Operation: 19+66=85, Resulting Numbers: [37, 59, 85] Generated Node #2: [37, 59, 85] from Operation: 19+66=85 Current State: 63:[37, 59, 85], Operations: ['19+66=85'] Exploring Operation: 59-37=22, Resulting Numbers: [85, 22] Generated Node #3: [85, 22] from Operation: 59-37=22 Current State: 63:[85, 22], Operations: ['19+66=85', '59-37=22'] Exploring Operation: 85-22=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 26, 10, 57, 6 ]
67
[ "26-10=16", "57-6=51", "16+51=67" ]
Current State: 67:[26, 10, 57, 6], Operations: [] Exploring Operation: 26-10=16, Resulting Numbers: [57, 6, 16] Generated Node #2: [57, 6, 16] from Operation: 26-10=16 Current State: 67:[57, 6, 16], Operations: ['26-10=16'] Exploring Operation: 57-6=51, Resulting Numbers: [16, 51] Generated Node #3: [16, 51] from Operation: 57-6=51 Current State: 67:[16, 51], Operations: ['26-10=16', '57-6=51'] Exploring Operation: 16+51=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 17, 67, 7, 31 ]
21
[ "17*7=119", "67+31=98", "119-98=21" ]
Current State: 21:[17, 67, 7, 31], Operations: [] Exploring Operation: 17*7=119, Resulting Numbers: [67, 31, 119] Generated Node #2: [67, 31, 119] from Operation: 17*7=119 Current State: 21:[67, 31, 119], Operations: ['17*7=119'] Exploring Operation: 67+31=98, Resulting Numbers: [119, 98] Generated Node #3: [119, 98] from Operation: 67+31=98 Current State: 21:[119, 98], Operations: ['17*7=119', '67+31=98'] Exploring Operation: 119-98=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 92, 74, 36, 34 ]
17
[ "92-74=18", "36/18=2", "34/2=17" ]
Current State: 17:[92, 74, 36, 34], Operations: [] Exploring Operation: 92-74=18, Resulting Numbers: [36, 34, 18] Generated Node #2: [36, 34, 18] from Operation: 92-74=18 Current State: 17:[36, 34, 18], Operations: ['92-74=18'] Exploring Operation: 36/18=2, Resulting Numbers: [34, 2] Generated Node #3: [34, 2] from Operation: 36/18=2 Current State: 17:[34, 2], Operations: ['92-74=18', '36/18=2'] Exploring Operation: 34/2=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 93, 95, 82, 16 ]
90
[ "93+95=188", "82+16=98", "188-98=90" ]
Current State: 90:[93, 95, 82, 16], Operations: [] Exploring Operation: 93+95=188, Resulting Numbers: [82, 16, 188] Generated Node #2: [82, 16, 188] from Operation: 93+95=188 Current State: 90:[82, 16, 188], Operations: ['93+95=188'] Exploring Operation: 82+16=98, Resulting Numbers: [188, 98] Generated Node #3: [188, 98] from Operation: 82+16=98 Current State: 90:[188, 98], Operations: ['93+95=188', '82+16=98'] Exploring Operation: 188-98=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 65, 65, 51, 14 ]
38
[ "65/65=1", "51-14=37", "1+37=38" ]
Current State: 38:[65, 65, 51, 14], Operations: [] Exploring Operation: 65/65=1, Resulting Numbers: [51, 14, 1] Generated Node #2: [51, 14, 1] from Operation: 65/65=1 Current State: 38:[51, 14, 1], Operations: ['65/65=1'] Exploring Operation: 51-14=37, Resulting Numbers: [1, 37] Generated Node #3: [1, 37] from Operation: 51-14=37 Current State: 38:[1, 37], Operations: ['65/65=1', '51-14=37'] Exploring Operation: 1+37=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 40, 10, 31, 58 ]
58
[ "40-10=30", "31-30=1", "58*1=58" ]
Current State: 58:[40, 10, 31, 58], Operations: [] Exploring Operation: 40-10=30, Resulting Numbers: [31, 58, 30] Generated Node #2: [31, 58, 30] from Operation: 40-10=30 Current State: 58:[31, 58, 30], Operations: ['40-10=30'] Exploring Operation: 31-30=1, Resulting Numbers: [58, 1] Generated Node #3: [58, 1] from Operation: 31-30=1 Current State: 58:[58, 1], Operations: ['40-10=30', '31-30=1'] Exploring Operation: 58*1=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 32, 1, 72, 15 ]
26
[ "32-1=31", "72-15=57", "57-31=26" ]
Current State: 26:[32, 1, 72, 15], Operations: [] Exploring Operation: 32-1=31, Resulting Numbers: [72, 15, 31] Generated Node #2: [72, 15, 31] from Operation: 32-1=31 Current State: 26:[72, 15, 31], Operations: ['32-1=31'] Exploring Operation: 72-15=57, Resulting Numbers: [31, 57] Generated Node #3: [31, 57] from Operation: 72-15=57 Current State: 26:[31, 57], Operations: ['32-1=31', '72-15=57'] Exploring Operation: 57-31=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 9, 81, 92, 64 ]
35
[ "92-81=11", "9*11=99", "99-64=35" ]
Current State: 35:[9, 81, 92, 64], Operations: [] Exploring Operation: 92-81=11, Resulting Numbers: [9, 64, 11] Generated Node #2: [9, 64, 11] from Operation: 92-81=11 Current State: 35:[9, 64, 11], Operations: ['92-81=11'] Exploring Operation: 9*11=99, Resulting Numbers: [64, 99] Generated Node #3: [64, 99] from Operation: 9*11=99 Current State: 35:[64, 99], Operations: ['92-81=11', '9*11=99'] Exploring Operation: 99-64=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 7, 6, 28, 80 ]
81
[ "7+80=87", "6*28=168", "168-87=81" ]
Current State: 81:[7, 6, 28, 80], Operations: [] Exploring Operation: 7+80=87, Resulting Numbers: [6, 28, 87] Generated Node #2: [6, 28, 87] from Operation: 7+80=87 Current State: 81:[6, 28, 87], Operations: ['7+80=87'] Exploring Operation: 6*28=168, Resulting Numbers: [87, 168] Generated Node #3: [87, 168] from Operation: 6*28=168 Current State: 81:[87, 168], Operations: ['7+80=87', '6*28=168'] Exploring Operation: 168-87=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 25, 90, 75, 72 ]
68
[ "90-25=65", "75-72=3", "65+3=68" ]
Current State: 68:[25, 90, 75, 72], Operations: [] Exploring Operation: 90-25=65, Resulting Numbers: [75, 72, 65] Generated Node #2: [75, 72, 65] from Operation: 90-25=65 Current State: 68:[75, 72, 65], Operations: ['90-25=65'] Exploring Operation: 75-72=3, Resulting Numbers: [65, 3] Generated Node #3: [65, 3] from Operation: 75-72=3 Current State: 68:[65, 3], Operations: ['90-25=65', '75-72=3'] Exploring Operation: 65+3=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 48, 68, 9, 47 ]
60
[ "48+68=116", "9+47=56", "116-56=60" ]
Current State: 60:[48, 68, 9, 47], Operations: [] Exploring Operation: 48+68=116, Resulting Numbers: [9, 47, 116] Generated Node #2: [9, 47, 116] from Operation: 48+68=116 Current State: 60:[9, 47, 116], Operations: ['48+68=116'] Exploring Operation: 9+47=56, Resulting Numbers: [116, 56] Generated Node #3: [116, 56] from Operation: 9+47=56 Current State: 60:[116, 56], Operations: ['48+68=116', '9+47=56'] Exploring Operation: 116-56=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 93, 63, 60, 60 ]
31
[ "93-63=30", "60/60=1", "30+1=31" ]
Current State: 31:[93, 63, 60, 60], Operations: [] Exploring Operation: 93-63=30, Resulting Numbers: [60, 60, 30] Generated Node #2: [60, 60, 30] from Operation: 93-63=30 Current State: 31:[60, 60, 30], Operations: ['93-63=30'] Exploring Operation: 60/60=1, Resulting Numbers: [30, 1] Generated Node #3: [30, 1] from Operation: 60/60=1 Current State: 31:[30, 1], Operations: ['93-63=30', '60/60=1'] Exploring Operation: 30+1=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 1, 86, 8, 97 ]
80
[ "1+86=87", "97-87=10", "8*10=80" ]
Current State: 80:[1, 86, 8, 97], Operations: [] Exploring Operation: 1+86=87, Resulting Numbers: [8, 97, 87] Generated Node #2: [8, 97, 87] from Operation: 1+86=87 Current State: 80:[8, 97, 87], Operations: ['1+86=87'] Exploring Operation: 97-87=10, Resulting Numbers: [8, 10] Generated Node #3: [8, 10] from Operation: 97-87=10 Current State: 80:[8, 10], Operations: ['1+86=87', '97-87=10'] Exploring Operation: 8*10=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 32, 37, 68, 32 ]
31
[ "32+37=69", "68+32=100", "100-69=31" ]
Current State: 31:[32, 37, 68, 32], Operations: [] Exploring Operation: 32+37=69, Resulting Numbers: [68, 69] Generated Node #2: [68, 69] from Operation: 32+37=69 Current State: 31:[68, 69], Operations: ['32+37=69'] Exploring Operation: 68+32=100, Resulting Numbers: [69, 100] Generated Node #3: [69, 100] from Operation: 68+32=100 Current State: 31:[69, 100], Operations: ['32+37=69', '68+32=100'] Exploring Operation: 100-69=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 85, 29, 13, 7 ]
62
[ "85-29=56", "13-7=6", "56+6=62" ]
Current State: 62:[85, 29, 13, 7], Operations: [] Exploring Operation: 85-29=56, Resulting Numbers: [13, 7, 56] Generated Node #2: [13, 7, 56] from Operation: 85-29=56 Current State: 62:[13, 7, 56], Operations: ['85-29=56'] Exploring Operation: 13-7=6, Resulting Numbers: [56, 6] Generated Node #3: [56, 6] from Operation: 13-7=6 Current State: 62:[56, 6], Operations: ['85-29=56', '13-7=6'] Exploring Operation: 56+6=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 83, 88, 2, 20 ]
59
[ "83+20=103", "88/2=44", "103-44=59" ]
Current State: 59:[83, 88, 2, 20], Operations: [] Exploring Operation: 83+20=103, Resulting Numbers: [88, 2, 103] Generated Node #2: [88, 2, 103] from Operation: 83+20=103 Current State: 59:[88, 2, 103], Operations: ['83+20=103'] Exploring Operation: 88/2=44, Resulting Numbers: [103, 44] Generated Node #3: [103, 44] from Operation: 88/2=44 Current State: 59:[103, 44], Operations: ['83+20=103', '88/2=44'] Exploring Operation: 103-44=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 83, 45, 91, 13 ]
66
[ "83-45=38", "91+13=104", "104-38=66" ]
Current State: 66:[83, 45, 91, 13], Operations: [] Exploring Operation: 83-45=38, Resulting Numbers: [91, 13, 38] Generated Node #2: [91, 13, 38] from Operation: 83-45=38 Current State: 66:[91, 13, 38], Operations: ['83-45=38'] Exploring Operation: 91+13=104, Resulting Numbers: [38, 104] Generated Node #3: [38, 104] from Operation: 91+13=104 Current State: 66:[38, 104], Operations: ['83-45=38', '91+13=104'] Exploring Operation: 104-38=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 30, 45, 47, 28 ]
26
[ "47-45=2", "28*2=56", "56-30=26" ]
Current State: 26:[30, 45, 47, 28], Operations: [] Exploring Operation: 47-45=2, Resulting Numbers: [30, 28, 2] Generated Node #2: [30, 28, 2] from Operation: 47-45=2 Current State: 26:[30, 28, 2], Operations: ['47-45=2'] Exploring Operation: 28*2=56, Resulting Numbers: [30, 56] Generated Node #3: [30, 56] from Operation: 28*2=56 Current State: 26:[30, 56], Operations: ['47-45=2', '28*2=56'] Exploring Operation: 56-30=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 13, 98, 14, 31 ]
51
[ "13+31=44", "98/14=7", "44+7=51" ]
Current State: 51:[13, 98, 14, 31], Operations: [] Exploring Operation: 13+31=44, Resulting Numbers: [98, 14, 44] Generated Node #2: [98, 14, 44] from Operation: 13+31=44 Current State: 51:[98, 14, 44], Operations: ['13+31=44'] Exploring Operation: 98/14=7, Resulting Numbers: [44, 7] Generated Node #3: [44, 7] from Operation: 98/14=7 Current State: 51:[44, 7], Operations: ['13+31=44', '98/14=7'] Exploring Operation: 44+7=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 7, 23, 27, 21 ]
13
[ "23-21=2", "7*2=14", "27-14=13" ]
Current State: 13:[7, 23, 27, 21], Operations: [] Exploring Operation: 23-21=2, Resulting Numbers: [7, 27, 2] Generated Node #2: [7, 27, 2] from Operation: 23-21=2 Current State: 13:[7, 27, 2], Operations: ['23-21=2'] Exploring Operation: 7*2=14, Resulting Numbers: [27, 14] Generated Node #3: [27, 14] from Operation: 7*2=14 Current State: 13:[27, 14], Operations: ['23-21=2', '7*2=14'] Exploring Operation: 27-14=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 45, 15, 8, 39 ]
17
[ "45-15=30", "8+39=47", "47-30=17" ]
Current State: 17:[45, 15, 8, 39], Operations: [] Exploring Operation: 45-15=30, Resulting Numbers: [8, 39, 30] Generated Node #2: [8, 39, 30] from Operation: 45-15=30 Current State: 17:[8, 39, 30], Operations: ['45-15=30'] Exploring Operation: 8+39=47, Resulting Numbers: [30, 47] Generated Node #3: [30, 47] from Operation: 8+39=47 Current State: 17:[30, 47], Operations: ['45-15=30', '8+39=47'] Exploring Operation: 47-30=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 1, 81, 56, 82 ]
56
[ "1+81=82", "56+82=138", "138-82=56" ]
Current State: 56:[1, 81, 56, 82], Operations: [] Exploring Operation: 1+81=82, Resulting Numbers: [56, 82, 82] Generated Node #2: [56, 82, 82] from Operation: 1+81=82 Current State: 56:[56, 82, 82], Operations: ['1+81=82'] Exploring Operation: 56+82=138, Resulting Numbers: [138] 138,56 equal: Goal Reached Exploring Operation: 138-82=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 42, 91, 52, 28 ]
58
[ "52*28=1456", "1456/91=16", "42+16=58" ]
Current State: 58:[42, 91, 52, 28], Operations: [] Exploring Operation: 52*28=1456, Resulting Numbers: [42, 91, 1456] Generated Node #2: [42, 91, 1456] from Operation: 52*28=1456 Current State: 58:[42, 91, 1456], Operations: ['52*28=1456'] Exploring Operation: 1456/91=16, Resulting Numbers: [42, 16] Generated Node #3: [42, 16] from Operation: 1456/91=16 Current State: 58:[42, 16], Operations: ['52*28=1456', '1456/91=16'] Exploring Operation: 42+16=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 42, 11, 40, 2 ]
16
[ "40-11=29", "2*29=58", "58-42=16" ]
Current State: 16:[42, 11, 40, 2], Operations: [] Exploring Operation: 40-11=29, Resulting Numbers: [42, 2, 29] Generated Node #2: [42, 2, 29] from Operation: 40-11=29 Current State: 16:[42, 2, 29], Operations: ['40-11=29'] Exploring Operation: 2*29=58, Resulting Numbers: [42, 58] Generated Node #3: [42, 58] from Operation: 2*29=58 Current State: 16:[42, 58], Operations: ['40-11=29', '2*29=58'] Exploring Operation: 58-42=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 7, 2, 71, 51 ]
25
[ "7-2=5", "71-51=20", "5+20=25" ]
Current State: 25:[7, 2, 71, 51], Operations: [] Exploring Operation: 7-2=5, Resulting Numbers: [71, 51, 5] Generated Node #2: [71, 51, 5] from Operation: 7-2=5 Current State: 25:[71, 51, 5], Operations: ['7-2=5'] Exploring Operation: 71-51=20, Resulting Numbers: [5, 20] Generated Node #3: [5, 20] from Operation: 71-51=20 Current State: 25:[5, 20], Operations: ['7-2=5', '71-51=20'] Exploring Operation: 5+20=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 19, 44, 81, 91 ]
73
[ "19+44=63", "91-81=10", "63+10=73" ]
Current State: 73:[19, 44, 81, 91], Operations: [] Exploring Operation: 19+44=63, Resulting Numbers: [81, 91, 63] Generated Node #2: [81, 91, 63] from Operation: 19+44=63 Current State: 73:[81, 91, 63], Operations: ['19+44=63'] Exploring Operation: 91-81=10, Resulting Numbers: [63, 10] Generated Node #3: [63, 10] from Operation: 91-81=10 Current State: 73:[63, 10], Operations: ['19+44=63', '91-81=10'] Exploring Operation: 63+10=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 74, 76, 87, 68 ]
38
[ "76-74=2", "87-68=19", "2*19=38" ]
Current State: 38:[74, 76, 87, 68], Operations: [] Exploring Operation: 76-74=2, Resulting Numbers: [87, 68, 2] Generated Node #2: [87, 68, 2] from Operation: 76-74=2 Current State: 38:[87, 68, 2], Operations: ['76-74=2'] Exploring Operation: 87-68=19, Resulting Numbers: [2, 19] Generated Node #3: [2, 19] from Operation: 87-68=19 Current State: 38:[2, 19], Operations: ['76-74=2', '87-68=19'] Exploring Operation: 2*19=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 87, 2, 44, 95 ]
69
[ "87-44=43", "95+43=138", "138/2=69" ]
Current State: 69:[87, 2, 44, 95], Operations: [] Exploring Operation: 87-44=43, Resulting Numbers: [2, 95, 43] Generated Node #2: [2, 95, 43] from Operation: 87-44=43 Current State: 69:[2, 95, 43], Operations: ['87-44=43'] Exploring Operation: 95+43=138, Resulting Numbers: [2, 138] Generated Node #3: [2, 138] from Operation: 95+43=138 Current State: 69:[2, 138], Operations: ['87-44=43', '95+43=138'] Exploring Operation: 138/2=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 25, 10, 70, 83 ]
75
[ "10+70=80", "83-80=3", "25*3=75" ]
Current State: 75:[25, 10, 70, 83], Operations: [] Exploring Operation: 10+70=80, Resulting Numbers: [25, 83, 80] Generated Node #2: [25, 83, 80] from Operation: 10+70=80 Current State: 75:[25, 83, 80], Operations: ['10+70=80'] Exploring Operation: 83-80=3, Resulting Numbers: [25, 3] Generated Node #3: [25, 3] from Operation: 83-80=3 Current State: 75:[25, 3], Operations: ['10+70=80', '83-80=3'] Exploring Operation: 25*3=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 7, 59, 5, 68 ]
26
[ "7*5=35", "68-59=9", "35-9=26" ]
Current State: 26:[7, 59, 5, 68], Operations: [] Exploring Operation: 7*5=35, Resulting Numbers: [59, 68, 35] Generated Node #2: [59, 68, 35] from Operation: 7*5=35 Current State: 26:[59, 68, 35], Operations: ['7*5=35'] Exploring Operation: 68-59=9, Resulting Numbers: [35, 9] Generated Node #3: [35, 9] from Operation: 68-59=9 Current State: 26:[35, 9], Operations: ['7*5=35', '68-59=9'] Exploring Operation: 35-9=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 11, 4, 56, 66 ]
84
[ "11*4=44", "56*66=3696", "3696/44=84" ]
Current State: 84:[11, 4, 56, 66], Operations: [] Exploring Operation: 11*4=44, Resulting Numbers: [56, 66, 44] Generated Node #2: [56, 66, 44] from Operation: 11*4=44 Current State: 84:[56, 66, 44], Operations: ['11*4=44'] Exploring Operation: 56*66=3696, Resulting Numbers: [44, 3696] Generated Node #3: [44, 3696] from Operation: 56*66=3696 Current State: 84:[44, 3696], Operations: ['11*4=44', '56*66=3696'] Exploring Operation: 3696/44=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 45, 63, 54, 15 ]
40
[ "63-15=48", "45*48=2160", "2160/54=40" ]
Current State: 40:[45, 63, 54, 15], Operations: [] Exploring Operation: 63-15=48, Resulting Numbers: [45, 54, 48] Generated Node #2: [45, 54, 48] from Operation: 63-15=48 Current State: 40:[45, 54, 48], Operations: ['63-15=48'] Exploring Operation: 45*48=2160, Resulting Numbers: [54, 2160] Generated Node #3: [54, 2160] from Operation: 45*48=2160 Current State: 40:[54, 2160], Operations: ['63-15=48', '45*48=2160'] Exploring Operation: 2160/54=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 10, 90, 97, 12 ]
94
[ "90/10=9", "97-12=85", "9+85=94" ]
Current State: 94:[10, 90, 97, 12], Operations: [] Exploring Operation: 90/10=9, Resulting Numbers: [97, 12, 9] Generated Node #2: [97, 12, 9] from Operation: 90/10=9 Current State: 94:[97, 12, 9], Operations: ['90/10=9'] Exploring Operation: 97-12=85, Resulting Numbers: [9, 85] Generated Node #3: [9, 85] from Operation: 97-12=85 Current State: 94:[9, 85], Operations: ['90/10=9', '97-12=85'] Exploring Operation: 9+85=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 9, 77, 32, 47 ]
52
[ "77-32=45", "45/9=5", "47+5=52" ]
Current State: 52:[9, 77, 32, 47], Operations: [] Exploring Operation: 77-32=45, Resulting Numbers: [9, 47, 45] Generated Node #2: [9, 47, 45] from Operation: 77-32=45 Current State: 52:[9, 47, 45], Operations: ['77-32=45'] Exploring Operation: 45/9=5, Resulting Numbers: [47, 5] Generated Node #3: [47, 5] from Operation: 45/9=5 Current State: 52:[47, 5], Operations: ['77-32=45', '45/9=5'] Exploring Operation: 47+5=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 43, 70, 58, 98 ]
67
[ "70-43=27", "98-58=40", "27+40=67" ]
Current State: 67:[43, 70, 58, 98], Operations: [] Exploring Operation: 70-43=27, Resulting Numbers: [58, 98, 27] Generated Node #2: [58, 98, 27] from Operation: 70-43=27 Current State: 67:[58, 98, 27], Operations: ['70-43=27'] Exploring Operation: 98-58=40, Resulting Numbers: [27, 40] Generated Node #3: [27, 40] from Operation: 98-58=40 Current State: 67:[27, 40], Operations: ['70-43=27', '98-58=40'] Exploring Operation: 27+40=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 42, 91, 70, 76 ]
97
[ "91-42=49", "70+76=146", "146-49=97" ]
Current State: 97:[42, 91, 70, 76], Operations: [] Exploring Operation: 91-42=49, Resulting Numbers: [70, 76, 49] Generated Node #2: [70, 76, 49] from Operation: 91-42=49 Current State: 97:[70, 76, 49], Operations: ['91-42=49'] Exploring Operation: 70+76=146, Resulting Numbers: [49, 146] Generated Node #3: [49, 146] from Operation: 70+76=146 Current State: 97:[49, 146], Operations: ['91-42=49', '70+76=146'] Exploring Operation: 146-49=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 48, 49, 43, 62 ]
78
[ "48+49=97", "62-43=19", "97-19=78" ]
Current State: 78:[48, 49, 43, 62], Operations: [] Exploring Operation: 48+49=97, Resulting Numbers: [43, 62, 97] Generated Node #2: [43, 62, 97] from Operation: 48+49=97 Current State: 78:[43, 62, 97], Operations: ['48+49=97'] Exploring Operation: 62-43=19, Resulting Numbers: [97, 19] Generated Node #3: [97, 19] from Operation: 62-43=19 Current State: 78:[97, 19], Operations: ['48+49=97', '62-43=19'] Exploring Operation: 97-19=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 24, 47, 42, 77 ]
36
[ "24+47=71", "77-42=35", "71-35=36" ]
Current State: 36:[24, 47, 42, 77], Operations: [] Exploring Operation: 24+47=71, Resulting Numbers: [42, 77, 71] Generated Node #2: [42, 77, 71] from Operation: 24+47=71 Current State: 36:[42, 77, 71], Operations: ['24+47=71'] Exploring Operation: 77-42=35, Resulting Numbers: [71, 35] Generated Node #3: [71, 35] from Operation: 77-42=35 Current State: 36:[71, 35], Operations: ['24+47=71', '77-42=35'] Exploring Operation: 71-35=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 30, 7, 84, 52 ]
55
[ "30-7=23", "84-52=32", "23+32=55" ]
Current State: 55:[30, 7, 84, 52], Operations: [] Exploring Operation: 30-7=23, Resulting Numbers: [84, 52, 23] Generated Node #2: [84, 52, 23] from Operation: 30-7=23 Current State: 55:[84, 52, 23], Operations: ['30-7=23'] Exploring Operation: 84-52=32, Resulting Numbers: [23, 32] Generated Node #3: [23, 32] from Operation: 84-52=32 Current State: 55:[23, 32], Operations: ['30-7=23', '84-52=32'] Exploring Operation: 23+32=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 72, 68, 70, 34 ]
89
[ "70-68=2", "34/2=17", "72+17=89" ]
Current State: 89:[72, 68, 70, 34], Operations: [] Exploring Operation: 70-68=2, Resulting Numbers: [72, 34, 2] Generated Node #2: [72, 34, 2] from Operation: 70-68=2 Current State: 89:[72, 34, 2], Operations: ['70-68=2'] Exploring Operation: 34/2=17, Resulting Numbers: [72, 17] Generated Node #3: [72, 17] from Operation: 34/2=17 Current State: 89:[72, 17], Operations: ['70-68=2', '34/2=17'] Exploring Operation: 72+17=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 62, 72, 44, 79 ]
45
[ "72-62=10", "79-44=35", "10+35=45" ]
Current State: 45:[62, 72, 44, 79], Operations: [] Exploring Operation: 72-62=10, Resulting Numbers: [44, 79, 10] Generated Node #2: [44, 79, 10] from Operation: 72-62=10 Current State: 45:[44, 79, 10], Operations: ['72-62=10'] Exploring Operation: 79-44=35, Resulting Numbers: [10, 35] Generated Node #3: [10, 35] from Operation: 79-44=35 Current State: 45:[10, 35], Operations: ['72-62=10', '79-44=35'] Exploring Operation: 10+35=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 18, 40, 47, 25 ]
44
[ "40-18=22", "47-25=22", "22+22=44" ]
Current State: 44:[18, 40, 47, 25], Operations: [] Exploring Operation: 40-18=22, Resulting Numbers: [47, 25, 22] Generated Node #2: [47, 25, 22] from Operation: 40-18=22 Current State: 44:[47, 25, 22], Operations: ['40-18=22'] Exploring Operation: 47-25=22, Resulting Numbers: [22, 22] Generated Node #3: [22, 22] from Operation: 47-25=22 Current State: 44:[22, 22], Operations: ['40-18=22', '47-25=22'] Exploring Operation: 22+22=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 89, 39, 72, 3 ]
53
[ "89+39=128", "72+3=75", "128-75=53" ]
Current State: 53:[89, 39, 72, 3], Operations: [] Exploring Operation: 89+39=128, Resulting Numbers: [72, 3, 128] Generated Node #2: [72, 3, 128] from Operation: 89+39=128 Current State: 53:[72, 3, 128], Operations: ['89+39=128'] Exploring Operation: 72+3=75, Resulting Numbers: [128, 75] Generated Node #3: [128, 75] from Operation: 72+3=75 Current State: 53:[128, 75], Operations: ['89+39=128', '72+3=75'] Exploring Operation: 128-75=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 36, 10, 25, 85 ]
47
[ "25+85=110", "110/10=11", "36+11=47" ]
Current State: 47:[36, 10, 25, 85], Operations: [] Exploring Operation: 25+85=110, Resulting Numbers: [36, 10, 110] Generated Node #2: [36, 10, 110] from Operation: 25+85=110 Current State: 47:[36, 10, 110], Operations: ['25+85=110'] Exploring Operation: 110/10=11, Resulting Numbers: [36, 11] Generated Node #3: [36, 11] from Operation: 110/10=11 Current State: 47:[36, 11], Operations: ['25+85=110', '110/10=11'] Exploring Operation: 36+11=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 97, 39, 44, 44 ]
48
[ "97+39=136", "44+44=88", "136-88=48" ]
Current State: 48:[97, 39, 44, 44], Operations: [] Exploring Operation: 97+39=136, Resulting Numbers: [44, 44, 136] Generated Node #2: [44, 44, 136] from Operation: 97+39=136 Current State: 48:[44, 44, 136], Operations: ['97+39=136'] Exploring Operation: 44+44=88, Resulting Numbers: [136, 88] Generated Node #3: [136, 88] from Operation: 44+44=88 Current State: 48:[136, 88], Operations: ['97+39=136', '44+44=88'] Exploring Operation: 136-88=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 30, 42, 57, 97 ]
82
[ "30+42=72", "57+97=154", "154-72=82" ]
Current State: 82:[30, 42, 57, 97], Operations: [] Exploring Operation: 30+42=72, Resulting Numbers: [57, 97, 72] Generated Node #2: [57, 97, 72] from Operation: 30+42=72 Current State: 82:[57, 97, 72], Operations: ['30+42=72'] Exploring Operation: 57+97=154, Resulting Numbers: [72, 154] Generated Node #3: [72, 154] from Operation: 57+97=154 Current State: 82:[72, 154], Operations: ['30+42=72', '57+97=154'] Exploring Operation: 154-72=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 63, 34, 28, 79 ]
79
[ "63-34=29", "29-28=1", "79*1=79" ]
Current State: 79:[63, 34, 28, 79], Operations: [] Exploring Operation: 63-34=29, Resulting Numbers: [28, 79, 29] Generated Node #2: [28, 79, 29] from Operation: 63-34=29 Current State: 79:[28, 79, 29], Operations: ['63-34=29'] Exploring Operation: 29-28=1, Resulting Numbers: [79, 1] Generated Node #3: [79, 1] from Operation: 29-28=1 Current State: 79:[79, 1], Operations: ['63-34=29', '29-28=1'] Exploring Operation: 79*1=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 50, 24, 56, 4 ]
40
[ "50-24=26", "56/4=14", "26+14=40" ]
Current State: 40:[50, 24, 56, 4], Operations: [] Exploring Operation: 50-24=26, Resulting Numbers: [56, 4, 26] Generated Node #2: [56, 4, 26] from Operation: 50-24=26 Current State: 40:[56, 4, 26], Operations: ['50-24=26'] Exploring Operation: 56/4=14, Resulting Numbers: [26, 14] Generated Node #3: [26, 14] from Operation: 56/4=14 Current State: 40:[26, 14], Operations: ['50-24=26', '56/4=14'] Exploring Operation: 26+14=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 70, 80, 81, 3 ]
72
[ "70+80=150", "81-3=78", "150-78=72" ]
Current State: 72:[70, 80, 81, 3], Operations: [] Exploring Operation: 70+80=150, Resulting Numbers: [81, 3, 150] Generated Node #2: [81, 3, 150] from Operation: 70+80=150 Current State: 72:[81, 3, 150], Operations: ['70+80=150'] Exploring Operation: 81-3=78, Resulting Numbers: [150, 78] Generated Node #3: [150, 78] from Operation: 81-3=78 Current State: 72:[150, 78], Operations: ['70+80=150', '81-3=78'] Exploring Operation: 150-78=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 17, 83, 46, 86 ]
97
[ "86-83=3", "17*3=51", "46+51=97" ]
Current State: 97:[17, 83, 46, 86], Operations: [] Exploring Operation: 86-83=3, Resulting Numbers: [17, 46, 3] Generated Node #2: [17, 46, 3] from Operation: 86-83=3 Current State: 97:[17, 46, 3], Operations: ['86-83=3'] Exploring Operation: 17*3=51, Resulting Numbers: [46, 51] Generated Node #3: [46, 51] from Operation: 17*3=51 Current State: 97:[46, 51], Operations: ['86-83=3', '17*3=51'] Exploring Operation: 46+51=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 90, 53, 86, 34 ]
22
[ "53*34=1802", "90+1802=1892", "1892/86=22" ]
Current State: 22:[90, 53, 86, 34], Operations: [] Exploring Operation: 53*34=1802, Resulting Numbers: [90, 86, 1802] Generated Node #2: [90, 86, 1802] from Operation: 53*34=1802 Current State: 22:[90, 86, 1802], Operations: ['53*34=1802'] Exploring Operation: 90+1802=1892, Resulting Numbers: [86, 1892] Generated Node #3: [86, 1892] from Operation: 90+1802=1892 Current State: 22:[86, 1892], Operations: ['53*34=1802', '90+1802=1892'] Exploring Operation: 1892/86=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 72, 54, 1, 21 ]
40
[ "72-54=18", "1+21=22", "18+22=40" ]
Current State: 40:[72, 54, 1, 21], Operations: [] Exploring Operation: 72-54=18, Resulting Numbers: [1, 21, 18] Generated Node #2: [1, 21, 18] from Operation: 72-54=18 Current State: 40:[1, 21, 18], Operations: ['72-54=18'] Exploring Operation: 1+21=22, Resulting Numbers: [18, 22] Generated Node #3: [18, 22] from Operation: 1+21=22 Current State: 40:[18, 22], Operations: ['72-54=18', '1+21=22'] Exploring Operation: 18+22=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 79, 91, 85, 62 ]
60
[ "79+91=170", "170/85=2", "62-2=60" ]
Current State: 60:[79, 91, 85, 62], Operations: [] Exploring Operation: 79+91=170, Resulting Numbers: [85, 62, 170] Generated Node #2: [85, 62, 170] from Operation: 79+91=170 Current State: 60:[85, 62, 170], Operations: ['79+91=170'] Exploring Operation: 170/85=2, Resulting Numbers: [62, 2] Generated Node #3: [62, 2] from Operation: 170/85=2 Current State: 60:[62, 2], Operations: ['79+91=170', '170/85=2'] Exploring Operation: 62-2=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 23, 66, 36, 6 ]
36
[ "23*6=138", "66+36=102", "138-102=36" ]
Current State: 36:[23, 66, 36, 6], Operations: [] Exploring Operation: 23*6=138, Resulting Numbers: [66, 36, 138] Generated Node #2: [66, 36, 138] from Operation: 23*6=138 Current State: 36:[66, 36, 138], Operations: ['23*6=138'] Exploring Operation: 66+36=102, Resulting Numbers: [138, 102] Generated Node #3: [138, 102] from Operation: 66+36=102 Current State: 36:[138, 102], Operations: ['23*6=138', '66+36=102'] Exploring Operation: 138-102=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 23, 5, 24, 63 ]
32
[ "63-23=40", "40/5=8", "24+8=32" ]
Current State: 32:[23, 5, 24, 63], Operations: [] Exploring Operation: 63-23=40, Resulting Numbers: [5, 24, 40] Generated Node #2: [5, 24, 40] from Operation: 63-23=40 Current State: 32:[5, 24, 40], Operations: ['63-23=40'] Exploring Operation: 40/5=8, Resulting Numbers: [24, 8] Generated Node #3: [24, 8] from Operation: 40/5=8 Current State: 32:[24, 8], Operations: ['63-23=40', '40/5=8'] Exploring Operation: 24+8=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 2, 78, 2, 68 ]
90
[ "2*78=156", "68-2=66", "156-66=90" ]
Current State: 90:[2, 78, 2, 68], Operations: [] Exploring Operation: 2*78=156, Resulting Numbers: [68, 156] Generated Node #2: [68, 156] from Operation: 2*78=156 Current State: 90:[68, 156], Operations: ['2*78=156'] Exploring Operation: 68-2=66, Resulting Numbers: [156, 66] Generated Node #3: [156, 66] from Operation: 68-2=66 Current State: 90:[156, 66], Operations: ['2*78=156', '68-2=66'] Exploring Operation: 156-66=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4