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
[ 89, 73, 78, 49 ]
35
[ "89+73=162", "78+49=127", "162-127=35" ]
Current State: 35:[89, 73, 78, 49], Operations: [] Exploring Operation: 89+73=162, Resulting Numbers: [78, 49, 162] Generated Node #2: [78, 49, 162] from Operation: 89+73=162 Current State: 35:[78, 49, 162], Operations: ['89+73=162'] Exploring Operation: 78+49=127, Resulting Numbers: [162, 127] Generated Node #3: [162, 127] from Operation: 78+49=127 Current State: 35:[162, 127], Operations: ['89+73=162', '78+49=127'] Exploring Operation: 162-127=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 42, 59, 45, 31 ]
84
[ "45-42=3", "59-31=28", "3*28=84" ]
Current State: 84:[42, 59, 45, 31], Operations: [] Exploring Operation: 45-42=3, Resulting Numbers: [59, 31, 3] Generated Node #2: [59, 31, 3] from Operation: 45-42=3 Current State: 84:[59, 31, 3], Operations: ['45-42=3'] Exploring Operation: 59-31=28, Resulting Numbers: [3, 28] Generated Node #3: [3, 28] from Operation: 59-31=28 Current State: 84:[3, 28], Operations: ['45-42=3', '59-31=28'] Exploring Operation: 3*28=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 15, 99, 26, 43 ]
97
[ "15+99=114", "43-26=17", "114-17=97" ]
Current State: 97:[15, 99, 26, 43], Operations: [] Exploring Operation: 15+99=114, Resulting Numbers: [26, 43, 114] Generated Node #2: [26, 43, 114] from Operation: 15+99=114 Current State: 97:[26, 43, 114], Operations: ['15+99=114'] Exploring Operation: 43-26=17, Resulting Numbers: [114, 17] Generated Node #3: [114, 17] from Operation: 43-26=17 Current State: 97:[114, 17], Operations: ['15+99=114', '43-26=17'] Exploring Operation: 114-17=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 97, 18, 72, 72 ]
21
[ "97-72=25", "72/18=4", "25-4=21" ]
Current State: 21:[97, 18, 72, 72], Operations: [] Exploring Operation: 97-72=25, Resulting Numbers: [18, 25] Generated Node #2: [18, 25] from Operation: 97-72=25 Current State: 21:[18, 25], Operations: ['97-72=25'] Exploring Operation: 72/18=4, Resulting Numbers: [25, 4] Generated Node #3: [25, 4] from Operation: 72/18=4 Current State: 21:[25, 4], Operations: ['97-72=25', '72/18=4'] Exploring Operation: 25-4=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 14, 29, 27, 2 ]
28
[ "14*2=28", "29+27=56", "56-28=28" ]
Current State: 28:[14, 29, 27, 2], Operations: [] Exploring Operation: 14*2=28, Resulting Numbers: [29, 27, 28] Generated Node #2: [29, 27, 28] from Operation: 14*2=28 Current State: 28:[29, 27, 28], Operations: ['14*2=28'] Exploring Operation: 29+27=56, Resulting Numbers: [28, 56] Generated Node #3: [28, 56] from Operation: 29+27=56 Current State: 28:[28, 56], Operations: ['14*2=28', '29+27=56'] Exploring Operation: 56-28=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 50, 65, 18, 34 ]
31
[ "65-50=15", "34-18=16", "15+16=31" ]
Current State: 31:[50, 65, 18, 34], Operations: [] Exploring Operation: 65-50=15, Resulting Numbers: [18, 34, 15] Generated Node #2: [18, 34, 15] from Operation: 65-50=15 Current State: 31:[18, 34, 15], Operations: ['65-50=15'] Exploring Operation: 34-18=16, Resulting Numbers: [15, 16] Generated Node #3: [15, 16] from Operation: 34-18=16 Current State: 31:[15, 16], Operations: ['65-50=15', '34-18=16'] Exploring Operation: 15+16=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 48, 20, 4, 66 ]
34
[ "48-20=28", "66-4=62", "62-28=34" ]
Current State: 34:[48, 20, 4, 66], Operations: [] Exploring Operation: 48-20=28, Resulting Numbers: [4, 66, 28] Generated Node #2: [4, 66, 28] from Operation: 48-20=28 Current State: 34:[4, 66, 28], Operations: ['48-20=28'] Exploring Operation: 66-4=62, Resulting Numbers: [28, 62] Generated Node #3: [28, 62] from Operation: 66-4=62 Current State: 34:[28, 62], Operations: ['48-20=28', '66-4=62'] Exploring Operation: 62-28=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 8, 2, 26, 23 ]
14
[ "26-8=18", "18/2=9", "23-9=14" ]
Current State: 14:[8, 2, 26, 23], Operations: [] Exploring Operation: 26-8=18, Resulting Numbers: [2, 23, 18] Generated Node #2: [2, 23, 18] from Operation: 26-8=18 Current State: 14:[2, 23, 18], Operations: ['26-8=18'] Exploring Operation: 18/2=9, Resulting Numbers: [23, 9] Generated Node #3: [23, 9] from Operation: 18/2=9 Current State: 14:[23, 9], Operations: ['26-8=18', '18/2=9'] Exploring Operation: 23-9=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 69, 8, 6, 11 ]
42
[ "69+8=77", "6*77=462", "462/11=42" ]
Current State: 42:[69, 8, 6, 11], Operations: [] Exploring Operation: 69+8=77, Resulting Numbers: [6, 11, 77] Generated Node #2: [6, 11, 77] from Operation: 69+8=77 Current State: 42:[6, 11, 77], Operations: ['69+8=77'] Exploring Operation: 6*77=462, Resulting Numbers: [11, 462] Generated Node #3: [11, 462] from Operation: 6*77=462 Current State: 42:[11, 462], Operations: ['69+8=77', '6*77=462'] Exploring Operation: 462/11=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 23, 63, 40, 29 ]
10
[ "23*40=920", "63+29=92", "920/92=10" ]
Current State: 10:[23, 63, 40, 29], Operations: [] Exploring Operation: 23*40=920, Resulting Numbers: [63, 29, 920] Generated Node #2: [63, 29, 920] from Operation: 23*40=920 Current State: 10:[63, 29, 920], Operations: ['23*40=920'] Exploring Operation: 63+29=92, Resulting Numbers: [920, 92] Generated Node #3: [920, 92] from Operation: 63+29=92 Current State: 10:[920, 92], Operations: ['23*40=920', '63+29=92'] Exploring Operation: 920/92=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 18, 22, 30, 87 ]
77
[ "18+22=40", "30+87=117", "117-40=77" ]
Current State: 77:[18, 22, 30, 87], Operations: [] Exploring Operation: 18+22=40, Resulting Numbers: [30, 87, 40] Generated Node #2: [30, 87, 40] from Operation: 18+22=40 Current State: 77:[30, 87, 40], Operations: ['18+22=40'] Exploring Operation: 30+87=117, Resulting Numbers: [40, 117] Generated Node #3: [40, 117] from Operation: 30+87=117 Current State: 77:[40, 117], Operations: ['18+22=40', '30+87=117'] Exploring Operation: 117-40=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 72, 87, 18, 87 ]
72
[ "87-87=0", "18*0=0", "72+0=72" ]
Current State: 72:[72, 87, 18, 87], Operations: [] Exploring Operation: 87-87=0, Resulting Numbers: [72, 18, 0] Generated Node #2: [72, 18, 0] from Operation: 87-87=0 Current State: 72:[72, 18, 0], Operations: ['87-87=0'] Exploring Operation: 18*0=0, Resulting Numbers: [72, 0] Generated Node #3: [72, 0] from Operation: 18*0=0 Current State: 72:[72, 0], Operations: ['87-87=0', '18*0=0'] Exploring Operation: 72+0=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 19, 38, 70, 17 ]
73
[ "19-17=2", "70/2=35", "38+35=73" ]
Current State: 73:[19, 38, 70, 17], Operations: [] Exploring Operation: 19-17=2, Resulting Numbers: [38, 70, 2] Generated Node #2: [38, 70, 2] from Operation: 19-17=2 Current State: 73:[38, 70, 2], Operations: ['19-17=2'] Exploring Operation: 70/2=35, Resulting Numbers: [38, 35] Generated Node #3: [38, 35] from Operation: 70/2=35 Current State: 73:[38, 35], Operations: ['19-17=2', '70/2=35'] Exploring Operation: 38+35=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 44, 38, 34, 41 ]
64
[ "44-41=3", "34*3=102", "102-38=64" ]
Current State: 64:[44, 38, 34, 41], Operations: [] Exploring Operation: 44-41=3, Resulting Numbers: [38, 34, 3] Generated Node #2: [38, 34, 3] from Operation: 44-41=3 Current State: 64:[38, 34, 3], Operations: ['44-41=3'] Exploring Operation: 34*3=102, Resulting Numbers: [38, 102] Generated Node #3: [38, 102] from Operation: 34*3=102 Current State: 64:[38, 102], Operations: ['44-41=3', '34*3=102'] Exploring Operation: 102-38=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 91, 27, 57, 4 ]
10
[ "91+57=148", "148/4=37", "37-27=10" ]
Current State: 10:[91, 27, 57, 4], Operations: [] Exploring Operation: 91+57=148, Resulting Numbers: [27, 4, 148] Generated Node #2: [27, 4, 148] from Operation: 91+57=148 Current State: 10:[27, 4, 148], Operations: ['91+57=148'] Exploring Operation: 148/4=37, Resulting Numbers: [27, 37] Generated Node #3: [27, 37] from Operation: 148/4=37 Current State: 10:[27, 37], Operations: ['91+57=148', '148/4=37'] Exploring Operation: 37-27=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 99, 6, 3, 55 ]
84
[ "6+55=61", "3*61=183", "183-99=84" ]
Current State: 84:[99, 6, 3, 55], Operations: [] Exploring Operation: 6+55=61, Resulting Numbers: [99, 3, 61] Generated Node #2: [99, 3, 61] from Operation: 6+55=61 Current State: 84:[99, 3, 61], Operations: ['6+55=61'] Exploring Operation: 3*61=183, Resulting Numbers: [99, 183] Generated Node #3: [99, 183] from Operation: 3*61=183 Current State: 84:[99, 183], Operations: ['6+55=61', '3*61=183'] Exploring Operation: 183-99=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 69, 31, 51, 34 ]
83
[ "69+31=100", "51-34=17", "100-17=83" ]
Current State: 83:[69, 31, 51, 34], Operations: [] Exploring Operation: 69+31=100, Resulting Numbers: [51, 34, 100] Generated Node #2: [51, 34, 100] from Operation: 69+31=100 Current State: 83:[51, 34, 100], Operations: ['69+31=100'] Exploring Operation: 51-34=17, Resulting Numbers: [100, 17] Generated Node #3: [100, 17] from Operation: 51-34=17 Current State: 83:[100, 17], Operations: ['69+31=100', '51-34=17'] Exploring Operation: 100-17=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 42, 71, 14, 29 ]
44
[ "71-42=29", "29-14=15", "29+15=44" ]
Current State: 44:[42, 71, 14, 29], Operations: [] Exploring Operation: 71-42=29, Resulting Numbers: [14, 29, 29] Generated Node #2: [14, 29, 29] from Operation: 71-42=29 Current State: 44:[14, 29, 29], Operations: ['71-42=29'] Exploring Operation: 29-14=15, Resulting Numbers: [15] 15,44 equal: Goal Reached Exploring Operation: 29+15=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 3, 13, 61, 12 ]
89
[ "3+13=16", "61+12=73", "16+73=89" ]
Current State: 89:[3, 13, 61, 12], Operations: [] Exploring Operation: 3+13=16, Resulting Numbers: [61, 12, 16] Generated Node #2: [61, 12, 16] from Operation: 3+13=16 Current State: 89:[61, 12, 16], Operations: ['3+13=16'] Exploring Operation: 61+12=73, Resulting Numbers: [16, 73] Generated Node #3: [16, 73] from Operation: 61+12=73 Current State: 89:[16, 73], Operations: ['3+13=16', '61+12=73'] Exploring Operation: 16+73=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 15, 5, 20, 12 ]
63
[ "20/5=4", "12*4=48", "15+48=63" ]
Current State: 63:[15, 5, 20, 12], Operations: [] Exploring Operation: 20/5=4, Resulting Numbers: [15, 12, 4] Generated Node #2: [15, 12, 4] from Operation: 20/5=4 Current State: 63:[15, 12, 4], Operations: ['20/5=4'] Exploring Operation: 12*4=48, Resulting Numbers: [15, 48] Generated Node #3: [15, 48] from Operation: 12*4=48 Current State: 63:[15, 48], Operations: ['20/5=4', '12*4=48'] Exploring Operation: 15+48=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 61, 58, 73, 55 ]
36
[ "73-61=12", "58-55=3", "12*3=36" ]
Current State: 36:[61, 58, 73, 55], Operations: [] Exploring Operation: 73-61=12, Resulting Numbers: [58, 55, 12] Generated Node #2: [58, 55, 12] from Operation: 73-61=12 Current State: 36:[58, 55, 12], Operations: ['73-61=12'] Exploring Operation: 58-55=3, Resulting Numbers: [12, 3] Generated Node #3: [12, 3] from Operation: 58-55=3 Current State: 36:[12, 3], Operations: ['73-61=12', '58-55=3'] Exploring Operation: 12*3=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 14, 36, 77, 27 ]
54
[ "14+36=50", "77+27=104", "104-50=54" ]
Current State: 54:[14, 36, 77, 27], Operations: [] Exploring Operation: 14+36=50, Resulting Numbers: [77, 27, 50] Generated Node #2: [77, 27, 50] from Operation: 14+36=50 Current State: 54:[77, 27, 50], Operations: ['14+36=50'] Exploring Operation: 77+27=104, Resulting Numbers: [50, 104] Generated Node #3: [50, 104] from Operation: 77+27=104 Current State: 54:[50, 104], Operations: ['14+36=50', '77+27=104'] Exploring Operation: 104-50=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 6, 48, 82, 5 ]
32
[ "48+82=130", "130/5=26", "6+26=32" ]
Current State: 32:[6, 48, 82, 5], Operations: [] Exploring Operation: 48+82=130, Resulting Numbers: [6, 5, 130] Generated Node #2: [6, 5, 130] from Operation: 48+82=130 Current State: 32:[6, 5, 130], Operations: ['48+82=130'] Exploring Operation: 130/5=26, Resulting Numbers: [6, 26] Generated Node #3: [6, 26] from Operation: 130/5=26 Current State: 32:[6, 26], Operations: ['48+82=130', '130/5=26'] Exploring Operation: 6+26=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 56, 94, 31, 29 ]
22
[ "94-56=38", "31+29=60", "60-38=22" ]
Current State: 22:[56, 94, 31, 29], Operations: [] Exploring Operation: 94-56=38, Resulting Numbers: [31, 29, 38] Generated Node #2: [31, 29, 38] from Operation: 94-56=38 Current State: 22:[31, 29, 38], Operations: ['94-56=38'] Exploring Operation: 31+29=60, Resulting Numbers: [38, 60] Generated Node #3: [38, 60] from Operation: 31+29=60 Current State: 22:[38, 60], Operations: ['94-56=38', '31+29=60'] Exploring Operation: 60-38=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 94, 99, 5, 19 ]
99
[ "5*19=95", "95-94=1", "99*1=99" ]
Current State: 99:[94, 99, 5, 19], Operations: [] Exploring Operation: 5*19=95, Resulting Numbers: [94, 99, 95] Generated Node #2: [94, 99, 95] from Operation: 5*19=95 Current State: 99:[94, 99, 95], Operations: ['5*19=95'] Exploring Operation: 95-94=1, Resulting Numbers: [99, 1] Generated Node #3: [99, 1] from Operation: 95-94=1 Current State: 99:[99, 1], Operations: ['5*19=95', '95-94=1'] Exploring Operation: 99*1=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 25, 69, 60, 28 ]
45
[ "25*69=1725", "60*28=1680", "1725-1680=45" ]
Current State: 45:[25, 69, 60, 28], Operations: [] Exploring Operation: 25*69=1725, Resulting Numbers: [60, 28, 1725] Generated Node #2: [60, 28, 1725] from Operation: 25*69=1725 Current State: 45:[60, 28, 1725], Operations: ['25*69=1725'] Exploring Operation: 60*28=1680, Resulting Numbers: [1725, 1680] Generated Node #3: [1725, 1680] from Operation: 60*28=1680 Current State: 45:[1725, 1680], Operations: ['25*69=1725', '60*28=1680'] Exploring Operation: 1725-1680=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 94, 6, 16, 22 ]
64
[ "94-6=88", "16*88=1408", "1408/22=64" ]
Current State: 64:[94, 6, 16, 22], Operations: [] Exploring Operation: 94-6=88, Resulting Numbers: [16, 22, 88] Generated Node #2: [16, 22, 88] from Operation: 94-6=88 Current State: 64:[16, 22, 88], Operations: ['94-6=88'] Exploring Operation: 16*88=1408, Resulting Numbers: [22, 1408] Generated Node #3: [22, 1408] from Operation: 16*88=1408 Current State: 64:[22, 1408], Operations: ['94-6=88', '16*88=1408'] Exploring Operation: 1408/22=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 77, 32, 60, 79 ]
56
[ "79-77=2", "60-32=28", "2*28=56" ]
Current State: 56:[77, 32, 60, 79], Operations: [] Exploring Operation: 79-77=2, Resulting Numbers: [32, 60, 2] Generated Node #2: [32, 60, 2] from Operation: 79-77=2 Current State: 56:[32, 60, 2], Operations: ['79-77=2'] Exploring Operation: 60-32=28, Resulting Numbers: [2, 28] Generated Node #3: [2, 28] from Operation: 60-32=28 Current State: 56:[2, 28], Operations: ['79-77=2', '60-32=28'] Exploring Operation: 2*28=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 54, 23, 3, 62 ]
28
[ "54-23=31", "62-3=59", "59-31=28" ]
Current State: 28:[54, 23, 3, 62], Operations: [] Exploring Operation: 54-23=31, Resulting Numbers: [3, 62, 31] Generated Node #2: [3, 62, 31] from Operation: 54-23=31 Current State: 28:[3, 62, 31], Operations: ['54-23=31'] Exploring Operation: 62-3=59, Resulting Numbers: [31, 59] Generated Node #3: [31, 59] from Operation: 62-3=59 Current State: 28:[31, 59], Operations: ['54-23=31', '62-3=59'] Exploring Operation: 59-31=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 36, 16, 48, 4 ]
48
[ "36*16=576", "48/4=12", "576/12=48" ]
Current State: 48:[36, 16, 48, 4], Operations: [] Exploring Operation: 36*16=576, Resulting Numbers: [48, 4, 576] Generated Node #2: [48, 4, 576] from Operation: 36*16=576 Current State: 48:[48, 4, 576], Operations: ['36*16=576'] Exploring Operation: 48/4=12, Resulting Numbers: [576, 12] Generated Node #3: [576, 12] from Operation: 48/4=12 Current State: 48:[576, 12], Operations: ['36*16=576', '48/4=12'] Exploring Operation: 576/12=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 64, 95, 85, 47 ]
19
[ "64-47=17", "95*17=1615", "1615/85=19" ]
Current State: 19:[64, 95, 85, 47], Operations: [] Exploring Operation: 64-47=17, Resulting Numbers: [95, 85, 17] Generated Node #2: [95, 85, 17] from Operation: 64-47=17 Current State: 19:[95, 85, 17], Operations: ['64-47=17'] Exploring Operation: 95*17=1615, Resulting Numbers: [85, 1615] Generated Node #3: [85, 1615] from Operation: 95*17=1615 Current State: 19:[85, 1615], Operations: ['64-47=17', '95*17=1615'] Exploring Operation: 1615/85=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 11, 76, 33, 51 ]
59
[ "33/11=3", "51/3=17", "76-17=59" ]
Current State: 59:[11, 76, 33, 51], Operations: [] Exploring Operation: 33/11=3, Resulting Numbers: [76, 51, 3] Generated Node #2: [76, 51, 3] from Operation: 33/11=3 Current State: 59:[76, 51, 3], Operations: ['33/11=3'] Exploring Operation: 51/3=17, Resulting Numbers: [76, 17] Generated Node #3: [76, 17] from Operation: 51/3=17 Current State: 59:[76, 17], Operations: ['33/11=3', '51/3=17'] Exploring Operation: 76-17=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 84, 36, 49, 28 ]
37
[ "84/28=3", "36/3=12", "49-12=37" ]
Current State: 37:[84, 36, 49, 28], Operations: [] Exploring Operation: 84/28=3, Resulting Numbers: [36, 49, 3] Generated Node #2: [36, 49, 3] from Operation: 84/28=3 Current State: 37:[36, 49, 3], Operations: ['84/28=3'] Exploring Operation: 36/3=12, Resulting Numbers: [49, 12] Generated Node #3: [49, 12] from Operation: 36/3=12 Current State: 37:[49, 12], Operations: ['84/28=3', '36/3=12'] Exploring Operation: 49-12=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 94, 70, 63, 53 ]
34
[ "94-70=24", "63-53=10", "24+10=34" ]
Current State: 34:[94, 70, 63, 53], Operations: [] Exploring Operation: 94-70=24, Resulting Numbers: [63, 53, 24] Generated Node #2: [63, 53, 24] from Operation: 94-70=24 Current State: 34:[63, 53, 24], Operations: ['94-70=24'] Exploring Operation: 63-53=10, Resulting Numbers: [24, 10] Generated Node #3: [24, 10] from Operation: 63-53=10 Current State: 34:[24, 10], Operations: ['94-70=24', '63-53=10'] Exploring Operation: 24+10=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 53, 67, 43, 54 ]
83
[ "67-53=14", "43+54=97", "97-14=83" ]
Current State: 83:[53, 67, 43, 54], Operations: [] Exploring Operation: 67-53=14, Resulting Numbers: [43, 54, 14] Generated Node #2: [43, 54, 14] from Operation: 67-53=14 Current State: 83:[43, 54, 14], Operations: ['67-53=14'] Exploring Operation: 43+54=97, Resulting Numbers: [14, 97] Generated Node #3: [14, 97] from Operation: 43+54=97 Current State: 83:[14, 97], Operations: ['67-53=14', '43+54=97'] Exploring Operation: 97-14=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 95, 71, 4, 17 ]
45
[ "95-71=24", "4+17=21", "24+21=45" ]
Current State: 45:[95, 71, 4, 17], Operations: [] Exploring Operation: 95-71=24, Resulting Numbers: [4, 17, 24] Generated Node #2: [4, 17, 24] from Operation: 95-71=24 Current State: 45:[4, 17, 24], Operations: ['95-71=24'] Exploring Operation: 4+17=21, Resulting Numbers: [24, 21] Generated Node #3: [24, 21] from Operation: 4+17=21 Current State: 45:[24, 21], Operations: ['95-71=24', '4+17=21'] Exploring Operation: 24+21=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 3, 31, 46, 81 ]
63
[ "31-3=28", "81-46=35", "28+35=63" ]
Current State: 63:[3, 31, 46, 81], Operations: [] Exploring Operation: 31-3=28, Resulting Numbers: [46, 81, 28] Generated Node #2: [46, 81, 28] from Operation: 31-3=28 Current State: 63:[46, 81, 28], Operations: ['31-3=28'] Exploring Operation: 81-46=35, Resulting Numbers: [28, 35] Generated Node #3: [28, 35] from Operation: 81-46=35 Current State: 63:[28, 35], Operations: ['31-3=28', '81-46=35'] Exploring Operation: 28+35=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 14, 75, 81, 48 ]
40
[ "14+75=89", "81+48=129", "129-89=40" ]
Current State: 40:[14, 75, 81, 48], Operations: [] Exploring Operation: 14+75=89, Resulting Numbers: [81, 48, 89] Generated Node #2: [81, 48, 89] from Operation: 14+75=89 Current State: 40:[81, 48, 89], Operations: ['14+75=89'] Exploring Operation: 81+48=129, Resulting Numbers: [89, 129] Generated Node #3: [89, 129] from Operation: 81+48=129 Current State: 40:[89, 129], Operations: ['14+75=89', '81+48=129'] Exploring Operation: 129-89=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 56, 57, 54, 93 ]
34
[ "56+57=113", "54+93=147", "147-113=34" ]
Current State: 34:[56, 57, 54, 93], Operations: [] Exploring Operation: 56+57=113, Resulting Numbers: [54, 93, 113] Generated Node #2: [54, 93, 113] from Operation: 56+57=113 Current State: 34:[54, 93, 113], Operations: ['56+57=113'] Exploring Operation: 54+93=147, Resulting Numbers: [113, 147] Generated Node #3: [113, 147] from Operation: 54+93=147 Current State: 34:[113, 147], Operations: ['56+57=113', '54+93=147'] Exploring Operation: 147-113=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 2, 17, 71, 96 ]
69
[ "71-17=54", "54/2=27", "96-27=69" ]
Current State: 69:[2, 17, 71, 96], Operations: [] Exploring Operation: 71-17=54, Resulting Numbers: [2, 96, 54] Generated Node #2: [2, 96, 54] from Operation: 71-17=54 Current State: 69:[2, 96, 54], Operations: ['71-17=54'] Exploring Operation: 54/2=27, Resulting Numbers: [96, 27] Generated Node #3: [96, 27] from Operation: 54/2=27 Current State: 69:[96, 27], Operations: ['71-17=54', '54/2=27'] Exploring Operation: 96-27=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 63, 9, 27, 40 ]
44
[ "63-27=36", "36/9=4", "40+4=44" ]
Current State: 44:[63, 9, 27, 40], Operations: [] Exploring Operation: 63-27=36, Resulting Numbers: [9, 40, 36] Generated Node #2: [9, 40, 36] from Operation: 63-27=36 Current State: 44:[9, 40, 36], Operations: ['63-27=36'] Exploring Operation: 36/9=4, Resulting Numbers: [40, 4] Generated Node #3: [40, 4] from Operation: 36/9=4 Current State: 44:[40, 4], Operations: ['63-27=36', '36/9=4'] Exploring Operation: 40+4=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 12, 87, 1, 63 ]
36
[ "12+87=99", "1*63=63", "99-63=36" ]
Current State: 36:[12, 87, 1, 63], Operations: [] Exploring Operation: 12+87=99, Resulting Numbers: [1, 63, 99] Generated Node #2: [1, 63, 99] from Operation: 12+87=99 Current State: 36:[1, 63, 99], Operations: ['12+87=99'] Exploring Operation: 1*63=63, Resulting Numbers: [99, 63] Generated Node #3: [99, 63] from Operation: 1*63=63 Current State: 36:[99, 63], Operations: ['12+87=99', '1*63=63'] Exploring Operation: 99-63=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 5, 5, 88, 28 ]
88
[ "5-5=0", "28*0=0", "88+0=88" ]
Current State: 88:[5, 5, 88, 28], Operations: [] Exploring Operation: 5-5=0, Resulting Numbers: [88, 28, 0] Generated Node #2: [88, 28, 0] from Operation: 5-5=0 Current State: 88:[88, 28, 0], Operations: ['5-5=0'] Exploring Operation: 28*0=0, Resulting Numbers: [88, 0] Generated Node #3: [88, 0] from Operation: 28*0=0 Current State: 88:[88, 0], Operations: ['5-5=0', '28*0=0'] Exploring Operation: 88+0=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 6, 41, 1, 22 ]
57
[ "41-6=35", "1*22=22", "35+22=57" ]
Current State: 57:[6, 41, 1, 22], Operations: [] Exploring Operation: 41-6=35, Resulting Numbers: [1, 22, 35] Generated Node #2: [1, 22, 35] from Operation: 41-6=35 Current State: 57:[1, 22, 35], Operations: ['41-6=35'] Exploring Operation: 1*22=22, Resulting Numbers: [35, 22] Generated Node #3: [35, 22] from Operation: 1*22=22 Current State: 57:[35, 22], Operations: ['41-6=35', '1*22=22'] Exploring Operation: 35+22=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 11, 2, 13, 72 ]
87
[ "72-11=61", "2*13=26", "61+26=87" ]
Current State: 87:[11, 2, 13, 72], Operations: [] Exploring Operation: 72-11=61, Resulting Numbers: [2, 13, 61] Generated Node #2: [2, 13, 61] from Operation: 72-11=61 Current State: 87:[2, 13, 61], Operations: ['72-11=61'] Exploring Operation: 2*13=26, Resulting Numbers: [61, 26] Generated Node #3: [61, 26] from Operation: 2*13=26 Current State: 87:[61, 26], Operations: ['72-11=61', '2*13=26'] Exploring Operation: 61+26=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 18, 44, 57, 76 ]
15
[ "44*57=2508", "2508/76=33", "33-18=15" ]
Current State: 15:[18, 44, 57, 76], Operations: [] Exploring Operation: 44*57=2508, Resulting Numbers: [18, 76, 2508] Generated Node #2: [18, 76, 2508] from Operation: 44*57=2508 Current State: 15:[18, 76, 2508], Operations: ['44*57=2508'] Exploring Operation: 2508/76=33, Resulting Numbers: [18, 33] Generated Node #3: [18, 33] from Operation: 2508/76=33 Current State: 15:[18, 33], Operations: ['44*57=2508', '2508/76=33'] Exploring Operation: 33-18=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 1, 72, 84, 2 ]
96
[ "1*72=72", "84*2=168", "168-72=96" ]
Current State: 96:[1, 72, 84, 2], Operations: [] Exploring Operation: 1*72=72, Resulting Numbers: [84, 2, 72] Generated Node #2: [84, 2, 72] from Operation: 1*72=72 Current State: 96:[84, 2, 72], Operations: ['1*72=72'] Exploring Operation: 84*2=168, Resulting Numbers: [72, 168] Generated Node #3: [72, 168] from Operation: 84*2=168 Current State: 96:[72, 168], Operations: ['1*72=72', '84*2=168'] Exploring Operation: 168-72=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 72, 78, 90, 53 ]
43
[ "78-72=6", "90-53=37", "6+37=43" ]
Current State: 43:[72, 78, 90, 53], Operations: [] Exploring Operation: 78-72=6, Resulting Numbers: [90, 53, 6] Generated Node #2: [90, 53, 6] from Operation: 78-72=6 Current State: 43:[90, 53, 6], Operations: ['78-72=6'] Exploring Operation: 90-53=37, Resulting Numbers: [6, 37] Generated Node #3: [6, 37] from Operation: 90-53=37 Current State: 43:[6, 37], Operations: ['78-72=6', '90-53=37'] Exploring Operation: 6+37=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 60, 74, 32, 4 ]
14
[ "74-60=14", "32-4=28", "28-14=14" ]
Current State: 14:[60, 74, 32, 4], Operations: [] Exploring Operation: 74-60=14, Resulting Numbers: [32, 4, 14] Generated Node #2: [32, 4, 14] from Operation: 74-60=14 Current State: 14:[32, 4, 14], Operations: ['74-60=14'] Exploring Operation: 32-4=28, Resulting Numbers: [14, 28] Generated Node #3: [14, 28] from Operation: 32-4=28 Current State: 14:[14, 28], Operations: ['74-60=14', '32-4=28'] Exploring Operation: 28-14=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 39, 11, 7, 2 ]
40
[ "39-2=37", "11*7=77", "77-37=40" ]
Current State: 40:[39, 11, 7, 2], Operations: [] Exploring Operation: 39-2=37, Resulting Numbers: [11, 7, 37] Generated Node #2: [11, 7, 37] from Operation: 39-2=37 Current State: 40:[11, 7, 37], Operations: ['39-2=37'] Exploring Operation: 11*7=77, Resulting Numbers: [37, 77] Generated Node #3: [37, 77] from Operation: 11*7=77 Current State: 40:[37, 77], Operations: ['39-2=37', '11*7=77'] Exploring Operation: 77-37=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 80, 72, 77, 8 ]
67
[ "80+72=152", "77+8=85", "152-85=67" ]
Current State: 67:[80, 72, 77, 8], Operations: [] Exploring Operation: 80+72=152, Resulting Numbers: [77, 8, 152] Generated Node #2: [77, 8, 152] from Operation: 80+72=152 Current State: 67:[77, 8, 152], Operations: ['80+72=152'] Exploring Operation: 77+8=85, Resulting Numbers: [152, 85] Generated Node #3: [152, 85] from Operation: 77+8=85 Current State: 67:[152, 85], Operations: ['80+72=152', '77+8=85'] Exploring Operation: 152-85=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 80, 10, 30, 2 ]
35
[ "80-30=50", "50/2=25", "10+25=35" ]
Current State: 35:[80, 10, 30, 2], Operations: [] Exploring Operation: 80-30=50, Resulting Numbers: [10, 2, 50] Generated Node #2: [10, 2, 50] from Operation: 80-30=50 Current State: 35:[10, 2, 50], Operations: ['80-30=50'] Exploring Operation: 50/2=25, Resulting Numbers: [10, 25] Generated Node #3: [10, 25] from Operation: 50/2=25 Current State: 35:[10, 25], Operations: ['80-30=50', '50/2=25'] Exploring Operation: 10+25=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 87, 53, 67, 69 ]
12
[ "87*53=4611", "67*69=4623", "4623-4611=12" ]
Current State: 12:[87, 53, 67, 69], Operations: [] Exploring Operation: 87*53=4611, Resulting Numbers: [67, 69, 4611] Generated Node #2: [67, 69, 4611] from Operation: 87*53=4611 Current State: 12:[67, 69, 4611], Operations: ['87*53=4611'] Exploring Operation: 67*69=4623, Resulting Numbers: [4611, 4623] Generated Node #3: [4611, 4623] from Operation: 67*69=4623 Current State: 12:[4611, 4623], Operations: ['87*53=4611', '67*69=4623'] Exploring Operation: 4623-4611=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 1, 39, 2, 25 ]
44
[ "39-1=38", "38/2=19", "25+19=44" ]
Current State: 44:[1, 39, 2, 25], Operations: [] Exploring Operation: 39-1=38, Resulting Numbers: [2, 25, 38] Generated Node #2: [2, 25, 38] from Operation: 39-1=38 Current State: 44:[2, 25, 38], Operations: ['39-1=38'] Exploring Operation: 38/2=19, Resulting Numbers: [25, 19] Generated Node #3: [25, 19] from Operation: 38/2=19 Current State: 44:[25, 19], Operations: ['39-1=38', '38/2=19'] Exploring Operation: 25+19=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 6, 8, 39, 41 ]
50
[ "6*8=48", "41-39=2", "48+2=50" ]
Current State: 50:[6, 8, 39, 41], Operations: [] Exploring Operation: 6*8=48, Resulting Numbers: [39, 41, 48] Generated Node #2: [39, 41, 48] from Operation: 6*8=48 Current State: 50:[39, 41, 48], Operations: ['6*8=48'] Exploring Operation: 41-39=2, Resulting Numbers: [48, 2] Generated Node #3: [48, 2] from Operation: 41-39=2 Current State: 50:[48, 2], Operations: ['6*8=48', '41-39=2'] Exploring Operation: 48+2=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 66, 66, 18, 34 ]
18
[ "66-66=0", "34*0=0", "18+0=18" ]
Current State: 18:[66, 66, 18, 34], Operations: [] Exploring Operation: 66-66=0, Resulting Numbers: [18, 34, 0] Generated Node #2: [18, 34, 0] from Operation: 66-66=0 Current State: 18:[18, 34, 0], Operations: ['66-66=0'] Exploring Operation: 34*0=0, Resulting Numbers: [18, 0] Generated Node #3: [18, 0] from Operation: 34*0=0 Current State: 18:[18, 0], Operations: ['66-66=0', '34*0=0'] Exploring Operation: 18+0=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 15, 72, 73, 91 ]
60
[ "15*72=1080", "91-73=18", "1080/18=60" ]
Current State: 60:[15, 72, 73, 91], Operations: [] Exploring Operation: 15*72=1080, Resulting Numbers: [73, 91, 1080] Generated Node #2: [73, 91, 1080] from Operation: 15*72=1080 Current State: 60:[73, 91, 1080], Operations: ['15*72=1080'] Exploring Operation: 91-73=18, Resulting Numbers: [1080, 18] Generated Node #3: [1080, 18] from Operation: 91-73=18 Current State: 60:[1080, 18], Operations: ['15*72=1080', '91-73=18'] Exploring Operation: 1080/18=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 19, 52, 99, 42 ]
70
[ "19+52=71", "99+42=141", "141-71=70" ]
Current State: 70:[19, 52, 99, 42], Operations: [] Exploring Operation: 19+52=71, Resulting Numbers: [99, 42, 71] Generated Node #2: [99, 42, 71] from Operation: 19+52=71 Current State: 70:[99, 42, 71], Operations: ['19+52=71'] Exploring Operation: 99+42=141, Resulting Numbers: [71, 141] Generated Node #3: [71, 141] from Operation: 99+42=141 Current State: 70:[71, 141], Operations: ['19+52=71', '99+42=141'] Exploring Operation: 141-71=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 27, 53, 5, 35 ]
19
[ "27+53=80", "80/5=16", "35-16=19" ]
Current State: 19:[27, 53, 5, 35], Operations: [] Exploring Operation: 27+53=80, Resulting Numbers: [5, 35, 80] Generated Node #2: [5, 35, 80] from Operation: 27+53=80 Current State: 19:[5, 35, 80], Operations: ['27+53=80'] Exploring Operation: 80/5=16, Resulting Numbers: [35, 16] Generated Node #3: [35, 16] from Operation: 80/5=16 Current State: 19:[35, 16], Operations: ['27+53=80', '80/5=16'] Exploring Operation: 35-16=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 3, 18, 48, 84 ]
52
[ "3+18=21", "84/21=4", "48+4=52" ]
Current State: 52:[3, 18, 48, 84], Operations: [] Exploring Operation: 3+18=21, Resulting Numbers: [48, 84, 21] Generated Node #2: [48, 84, 21] from Operation: 3+18=21 Current State: 52:[48, 84, 21], Operations: ['3+18=21'] Exploring Operation: 84/21=4, Resulting Numbers: [48, 4] Generated Node #3: [48, 4] from Operation: 84/21=4 Current State: 52:[48, 4], Operations: ['3+18=21', '84/21=4'] Exploring Operation: 48+4=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 42, 44, 82, 4 ]
74
[ "44-42=2", "4*2=8", "82-8=74" ]
Current State: 74:[42, 44, 82, 4], Operations: [] Exploring Operation: 44-42=2, Resulting Numbers: [82, 4, 2] Generated Node #2: [82, 4, 2] from Operation: 44-42=2 Current State: 74:[82, 4, 2], Operations: ['44-42=2'] Exploring Operation: 4*2=8, Resulting Numbers: [82, 8] Generated Node #3: [82, 8] from Operation: 4*2=8 Current State: 74:[82, 8], Operations: ['44-42=2', '4*2=8'] Exploring Operation: 82-8=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 73, 90, 11, 78 ]
96
[ "73+90=163", "78-11=67", "163-67=96" ]
Current State: 96:[73, 90, 11, 78], Operations: [] Exploring Operation: 73+90=163, Resulting Numbers: [11, 78, 163] Generated Node #2: [11, 78, 163] from Operation: 73+90=163 Current State: 96:[11, 78, 163], Operations: ['73+90=163'] Exploring Operation: 78-11=67, Resulting Numbers: [163, 67] Generated Node #3: [163, 67] from Operation: 78-11=67 Current State: 96:[163, 67], Operations: ['73+90=163', '78-11=67'] Exploring Operation: 163-67=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 48, 86, 37, 17 ]
17
[ "86-48=38", "38-37=1", "17*1=17" ]
Current State: 17:[48, 86, 37, 17], Operations: [] Exploring Operation: 86-48=38, Resulting Numbers: [37, 17, 38] Generated Node #2: [37, 17, 38] from Operation: 86-48=38 Current State: 17:[37, 17, 38], Operations: ['86-48=38'] Exploring Operation: 38-37=1, Resulting Numbers: [17, 1] Generated Node #3: [17, 1] from Operation: 38-37=1 Current State: 17:[17, 1], Operations: ['86-48=38', '38-37=1'] Exploring Operation: 17*1=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 66, 73, 63, 7 ]
22
[ "66-63=3", "73-7=66", "66/3=22" ]
Current State: 22:[66, 73, 63, 7], Operations: [] Exploring Operation: 66-63=3, Resulting Numbers: [73, 7, 3] Generated Node #2: [73, 7, 3] from Operation: 66-63=3 Current State: 22:[73, 7, 3], Operations: ['66-63=3'] Exploring Operation: 73-7=66, Resulting Numbers: [3, 66] Generated Node #3: [3, 66] from Operation: 73-7=66 Current State: 22:[3, 66], Operations: ['66-63=3', '73-7=66'] Exploring Operation: 66/3=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 58, 10, 10, 5 ]
92
[ "10+5=15", "10*15=150", "150-58=92" ]
Current State: 92:[58, 10, 10, 5], Operations: [] Exploring Operation: 10+5=15, Resulting Numbers: [58, 15] Generated Node #2: [58, 15] from Operation: 10+5=15 Current State: 92:[58, 15], Operations: ['10+5=15'] Exploring Operation: 10*15=150, Resulting Numbers: [58, 150] Generated Node #3: [58, 150] from Operation: 10*15=150 Current State: 92:[58, 150], Operations: ['10+5=15', '10*15=150'] Exploring Operation: 150-58=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 21, 74, 4, 81 ]
63
[ "74+4=78", "81-78=3", "21*3=63" ]
Current State: 63:[21, 74, 4, 81], Operations: [] Exploring Operation: 74+4=78, Resulting Numbers: [21, 81, 78] Generated Node #2: [21, 81, 78] from Operation: 74+4=78 Current State: 63:[21, 81, 78], Operations: ['74+4=78'] Exploring Operation: 81-78=3, Resulting Numbers: [21, 3] Generated Node #3: [21, 3] from Operation: 81-78=3 Current State: 63:[21, 3], Operations: ['74+4=78', '81-78=3'] Exploring Operation: 21*3=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 30, 34, 61, 69 ]
66
[ "30+34=64", "61+69=130", "130-64=66" ]
Current State: 66:[30, 34, 61, 69], Operations: [] Exploring Operation: 30+34=64, Resulting Numbers: [61, 69, 64] Generated Node #2: [61, 69, 64] from Operation: 30+34=64 Current State: 66:[61, 69, 64], Operations: ['30+34=64'] Exploring Operation: 61+69=130, Resulting Numbers: [64, 130] Generated Node #3: [64, 130] from Operation: 61+69=130 Current State: 66:[64, 130], Operations: ['30+34=64', '61+69=130'] Exploring Operation: 130-64=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 70, 33, 15, 44 ]
74
[ "70+33=103", "44-15=29", "103-29=74" ]
Current State: 74:[70, 33, 15, 44], Operations: [] Exploring Operation: 70+33=103, Resulting Numbers: [15, 44, 103] Generated Node #2: [15, 44, 103] from Operation: 70+33=103 Current State: 74:[15, 44, 103], Operations: ['70+33=103'] Exploring Operation: 44-15=29, Resulting Numbers: [103, 29] Generated Node #3: [103, 29] from Operation: 44-15=29 Current State: 74:[103, 29], Operations: ['70+33=103', '44-15=29'] Exploring Operation: 103-29=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 59, 13, 77, 2 ]
17
[ "13*77=1001", "2+1001=1003", "1003/59=17" ]
Current State: 17:[59, 13, 77, 2], Operations: [] Exploring Operation: 13*77=1001, Resulting Numbers: [59, 2, 1001] Generated Node #2: [59, 2, 1001] from Operation: 13*77=1001 Current State: 17:[59, 2, 1001], Operations: ['13*77=1001'] Exploring Operation: 2+1001=1003, Resulting Numbers: [59, 1003] Generated Node #3: [59, 1003] from Operation: 2+1001=1003 Current State: 17:[59, 1003], Operations: ['13*77=1001', '2+1001=1003'] Exploring Operation: 1003/59=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 34, 66, 64, 31 ]
29
[ "66-34=32", "64/32=2", "31-2=29" ]
Current State: 29:[34, 66, 64, 31], Operations: [] Exploring Operation: 66-34=32, Resulting Numbers: [64, 31, 32] Generated Node #2: [64, 31, 32] from Operation: 66-34=32 Current State: 29:[64, 31, 32], Operations: ['66-34=32'] Exploring Operation: 64/32=2, Resulting Numbers: [31, 2] Generated Node #3: [31, 2] from Operation: 64/32=2 Current State: 29:[31, 2], Operations: ['66-34=32', '64/32=2'] Exploring Operation: 31-2=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 30, 61, 88, 54 ]
57
[ "30+61=91", "88-54=34", "91-34=57" ]
Current State: 57:[30, 61, 88, 54], Operations: [] Exploring Operation: 30+61=91, Resulting Numbers: [88, 54, 91] Generated Node #2: [88, 54, 91] from Operation: 30+61=91 Current State: 57:[88, 54, 91], Operations: ['30+61=91'] Exploring Operation: 88-54=34, Resulting Numbers: [91, 34] Generated Node #3: [91, 34] from Operation: 88-54=34 Current State: 57:[91, 34], Operations: ['30+61=91', '88-54=34'] Exploring Operation: 91-34=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 98, 74, 60, 8 ]
63
[ "98-74=24", "24/8=3", "60+3=63" ]
Current State: 63:[98, 74, 60, 8], Operations: [] Exploring Operation: 98-74=24, Resulting Numbers: [60, 8, 24] Generated Node #2: [60, 8, 24] from Operation: 98-74=24 Current State: 63:[60, 8, 24], Operations: ['98-74=24'] Exploring Operation: 24/8=3, Resulting Numbers: [60, 3] Generated Node #3: [60, 3] from Operation: 24/8=3 Current State: 63:[60, 3], Operations: ['98-74=24', '24/8=3'] Exploring Operation: 60+3=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 63, 21, 62, 46 ]
36
[ "63/21=3", "62+46=108", "108/3=36" ]
Current State: 36:[63, 21, 62, 46], Operations: [] Exploring Operation: 63/21=3, Resulting Numbers: [62, 46, 3] Generated Node #2: [62, 46, 3] from Operation: 63/21=3 Current State: 36:[62, 46, 3], Operations: ['63/21=3'] Exploring Operation: 62+46=108, Resulting Numbers: [3, 108] Generated Node #3: [3, 108] from Operation: 62+46=108 Current State: 36:[3, 108], Operations: ['63/21=3', '62+46=108'] Exploring Operation: 108/3=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 57, 51, 73, 58 ]
90
[ "57-51=6", "73-58=15", "6*15=90" ]
Current State: 90:[57, 51, 73, 58], Operations: [] Exploring Operation: 57-51=6, Resulting Numbers: [73, 58, 6] Generated Node #2: [73, 58, 6] from Operation: 57-51=6 Current State: 90:[73, 58, 6], Operations: ['57-51=6'] Exploring Operation: 73-58=15, Resulting Numbers: [6, 15] Generated Node #3: [6, 15] from Operation: 73-58=15 Current State: 90:[6, 15], Operations: ['57-51=6', '73-58=15'] Exploring Operation: 6*15=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 2, 76, 90, 63 ]
94
[ "90/2=45", "76+63=139", "139-45=94" ]
Current State: 94:[2, 76, 90, 63], Operations: [] Exploring Operation: 90/2=45, Resulting Numbers: [76, 63, 45] Generated Node #2: [76, 63, 45] from Operation: 90/2=45 Current State: 94:[76, 63, 45], Operations: ['90/2=45'] Exploring Operation: 76+63=139, Resulting Numbers: [45, 139] Generated Node #3: [45, 139] from Operation: 76+63=139 Current State: 94:[45, 139], Operations: ['90/2=45', '76+63=139'] Exploring Operation: 139-45=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 60, 85, 33, 81 ]
31
[ "60+85=145", "33+81=114", "145-114=31" ]
Current State: 31:[60, 85, 33, 81], Operations: [] Exploring Operation: 60+85=145, Resulting Numbers: [33, 81, 145] Generated Node #2: [33, 81, 145] from Operation: 60+85=145 Current State: 31:[33, 81, 145], Operations: ['60+85=145'] Exploring Operation: 33+81=114, Resulting Numbers: [145, 114] Generated Node #3: [145, 114] from Operation: 33+81=114 Current State: 31:[145, 114], Operations: ['60+85=145', '33+81=114'] Exploring Operation: 145-114=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 8, 89, 8, 7 ]
95
[ "8/8=1", "89+7=96", "96-1=95" ]
Current State: 95:[8, 89, 8, 7], Operations: [] Exploring Operation: 8/8=1, Resulting Numbers: [89, 7, 1] Generated Node #2: [89, 7, 1] from Operation: 8/8=1 Current State: 95:[89, 7, 1], Operations: ['8/8=1'] Exploring Operation: 89+7=96, Resulting Numbers: [1, 96] Generated Node #3: [1, 96] from Operation: 89+7=96 Current State: 95:[1, 96], Operations: ['8/8=1', '89+7=96'] Exploring Operation: 96-1=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 34, 17, 47, 25 ]
44
[ "34/17=2", "47-25=22", "2*22=44" ]
Current State: 44:[34, 17, 47, 25], Operations: [] Exploring Operation: 34/17=2, Resulting Numbers: [47, 25, 2] Generated Node #2: [47, 25, 2] from Operation: 34/17=2 Current State: 44:[47, 25, 2], Operations: ['34/17=2'] Exploring Operation: 47-25=22, Resulting Numbers: [2, 22] Generated Node #3: [2, 22] from Operation: 47-25=22 Current State: 44:[2, 22], Operations: ['34/17=2', '47-25=22'] Exploring Operation: 2*22=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 49, 96, 94, 1 ]
99
[ "96-94=2", "49*2=98", "1+98=99" ]
Current State: 99:[49, 96, 94, 1], Operations: [] Exploring Operation: 96-94=2, Resulting Numbers: [49, 1, 2] Generated Node #2: [49, 1, 2] from Operation: 96-94=2 Current State: 99:[49, 1, 2], Operations: ['96-94=2'] Exploring Operation: 49*2=98, Resulting Numbers: [1, 98] Generated Node #3: [1, 98] from Operation: 49*2=98 Current State: 99:[1, 98], Operations: ['96-94=2', '49*2=98'] Exploring Operation: 1+98=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 11, 18, 97, 78 ]
84
[ "11+97=108", "108/18=6", "78+6=84" ]
Current State: 84:[11, 18, 97, 78], Operations: [] Exploring Operation: 11+97=108, Resulting Numbers: [18, 78, 108] Generated Node #2: [18, 78, 108] from Operation: 11+97=108 Current State: 84:[18, 78, 108], Operations: ['11+97=108'] Exploring Operation: 108/18=6, Resulting Numbers: [78, 6] Generated Node #3: [78, 6] from Operation: 108/18=6 Current State: 84:[78, 6], Operations: ['11+97=108', '108/18=6'] Exploring Operation: 78+6=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 36, 2, 85, 81 ]
14
[ "36/2=18", "85-81=4", "18-4=14" ]
Current State: 14:[36, 2, 85, 81], Operations: [] Exploring Operation: 36/2=18, Resulting Numbers: [85, 81, 18] Generated Node #2: [85, 81, 18] from Operation: 36/2=18 Current State: 14:[85, 81, 18], Operations: ['36/2=18'] Exploring Operation: 85-81=4, Resulting Numbers: [18, 4] Generated Node #3: [18, 4] from Operation: 85-81=4 Current State: 14:[18, 4], Operations: ['36/2=18', '85-81=4'] Exploring Operation: 18-4=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 48, 91, 44, 62 ]
25
[ "91-48=43", "62-44=18", "43-18=25" ]
Current State: 25:[48, 91, 44, 62], Operations: [] Exploring Operation: 91-48=43, Resulting Numbers: [44, 62, 43] Generated Node #2: [44, 62, 43] from Operation: 91-48=43 Current State: 25:[44, 62, 43], Operations: ['91-48=43'] Exploring Operation: 62-44=18, Resulting Numbers: [43, 18] Generated Node #3: [43, 18] from Operation: 62-44=18 Current State: 25:[43, 18], Operations: ['91-48=43', '62-44=18'] Exploring Operation: 43-18=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 55, 46, 13, 29 ]
92
[ "55-29=26", "46*26=1196", "1196/13=92" ]
Current State: 92:[55, 46, 13, 29], Operations: [] Exploring Operation: 55-29=26, Resulting Numbers: [46, 13, 26] Generated Node #2: [46, 13, 26] from Operation: 55-29=26 Current State: 92:[46, 13, 26], Operations: ['55-29=26'] Exploring Operation: 46*26=1196, Resulting Numbers: [13, 1196] Generated Node #3: [13, 1196] from Operation: 46*26=1196 Current State: 92:[13, 1196], Operations: ['55-29=26', '46*26=1196'] Exploring Operation: 1196/13=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 12, 97, 80, 78 ]
91
[ "80-78=2", "12/2=6", "97-6=91" ]
Current State: 91:[12, 97, 80, 78], Operations: [] Exploring Operation: 80-78=2, Resulting Numbers: [12, 97, 2] Generated Node #2: [12, 97, 2] from Operation: 80-78=2 Current State: 91:[12, 97, 2], Operations: ['80-78=2'] Exploring Operation: 12/2=6, Resulting Numbers: [97, 6] Generated Node #3: [97, 6] from Operation: 12/2=6 Current State: 91:[97, 6], Operations: ['80-78=2', '12/2=6'] Exploring Operation: 97-6=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 5, 27, 33, 43 ]
73
[ "33-27=6", "5*6=30", "43+30=73" ]
Current State: 73:[5, 27, 33, 43], Operations: [] Exploring Operation: 33-27=6, Resulting Numbers: [5, 43, 6] Generated Node #2: [5, 43, 6] from Operation: 33-27=6 Current State: 73:[5, 43, 6], Operations: ['33-27=6'] Exploring Operation: 5*6=30, Resulting Numbers: [43, 30] Generated Node #3: [43, 30] from Operation: 5*6=30 Current State: 73:[43, 30], Operations: ['33-27=6', '5*6=30'] Exploring Operation: 43+30=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 51, 2, 74, 53 ]
19
[ "51+74=125", "2*53=106", "125-106=19" ]
Current State: 19:[51, 2, 74, 53], Operations: [] Exploring Operation: 51+74=125, Resulting Numbers: [2, 53, 125] Generated Node #2: [2, 53, 125] from Operation: 51+74=125 Current State: 19:[2, 53, 125], Operations: ['51+74=125'] Exploring Operation: 2*53=106, Resulting Numbers: [125, 106] Generated Node #3: [125, 106] from Operation: 2*53=106 Current State: 19:[125, 106], Operations: ['51+74=125', '2*53=106'] Exploring Operation: 125-106=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 88, 92, 62, 8 ]
74
[ "92-88=4", "62+8=70", "4+70=74" ]
Current State: 74:[88, 92, 62, 8], Operations: [] Exploring Operation: 92-88=4, Resulting Numbers: [62, 8, 4] Generated Node #2: [62, 8, 4] from Operation: 92-88=4 Current State: 74:[62, 8, 4], Operations: ['92-88=4'] Exploring Operation: 62+8=70, Resulting Numbers: [4, 70] Generated Node #3: [4, 70] from Operation: 62+8=70 Current State: 74:[4, 70], Operations: ['92-88=4', '62+8=70'] Exploring Operation: 4+70=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 67, 43, 37, 86 ]
25
[ "67-43=24", "86-37=49", "49-24=25" ]
Current State: 25:[67, 43, 37, 86], Operations: [] Exploring Operation: 67-43=24, Resulting Numbers: [37, 86, 24] Generated Node #2: [37, 86, 24] from Operation: 67-43=24 Current State: 25:[37, 86, 24], Operations: ['67-43=24'] Exploring Operation: 86-37=49, Resulting Numbers: [24, 49] Generated Node #3: [24, 49] from Operation: 86-37=49 Current State: 25:[24, 49], Operations: ['67-43=24', '86-37=49'] Exploring Operation: 49-24=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 36, 28, 41, 94 ]
46
[ "41-36=5", "28*5=140", "140-94=46" ]
Current State: 46:[36, 28, 41, 94], Operations: [] Exploring Operation: 41-36=5, Resulting Numbers: [28, 94, 5] Generated Node #2: [28, 94, 5] from Operation: 41-36=5 Current State: 46:[28, 94, 5], Operations: ['41-36=5'] Exploring Operation: 28*5=140, Resulting Numbers: [94, 140] Generated Node #3: [94, 140] from Operation: 28*5=140 Current State: 46:[94, 140], Operations: ['41-36=5', '28*5=140'] Exploring Operation: 140-94=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 88, 7, 40, 22 ]
63
[ "88-7=81", "40-22=18", "81-18=63" ]
Current State: 63:[88, 7, 40, 22], Operations: [] Exploring Operation: 88-7=81, Resulting Numbers: [40, 22, 81] Generated Node #2: [40, 22, 81] from Operation: 88-7=81 Current State: 63:[40, 22, 81], Operations: ['88-7=81'] Exploring Operation: 40-22=18, Resulting Numbers: [81, 18] Generated Node #3: [81, 18] from Operation: 40-22=18 Current State: 63:[81, 18], Operations: ['88-7=81', '40-22=18'] Exploring Operation: 81-18=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 21, 28, 40, 56 ]
23
[ "28-21=7", "56-40=16", "7+16=23" ]
Current State: 23:[21, 28, 40, 56], Operations: [] Exploring Operation: 28-21=7, Resulting Numbers: [40, 56, 7] Generated Node #2: [40, 56, 7] from Operation: 28-21=7 Current State: 23:[40, 56, 7], Operations: ['28-21=7'] Exploring Operation: 56-40=16, Resulting Numbers: [7, 16] Generated Node #3: [7, 16] from Operation: 56-40=16 Current State: 23:[7, 16], Operations: ['28-21=7', '56-40=16'] Exploring Operation: 7+16=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 45, 65, 35, 36 ]
93
[ "35*36=1260", "1260/45=28", "65+28=93" ]
Current State: 93:[45, 65, 35, 36], Operations: [] Exploring Operation: 35*36=1260, Resulting Numbers: [45, 65, 1260] Generated Node #2: [45, 65, 1260] from Operation: 35*36=1260 Current State: 93:[45, 65, 1260], Operations: ['35*36=1260'] Exploring Operation: 1260/45=28, Resulting Numbers: [65, 28] Generated Node #3: [65, 28] from Operation: 1260/45=28 Current State: 93:[65, 28], Operations: ['35*36=1260', '1260/45=28'] Exploring Operation: 65+28=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 3, 98, 74, 77 ]
97
[ "3+74=77", "77/77=1", "98-1=97" ]
Current State: 97:[3, 98, 74, 77], Operations: [] Exploring Operation: 3+74=77, Resulting Numbers: [98, 77, 77] Generated Node #2: [98, 77, 77] from Operation: 3+74=77 Current State: 97:[98, 77, 77], Operations: ['3+74=77'] Exploring Operation: 77/77=1, Resulting Numbers: [98, 1] Generated Node #3: [98, 1] from Operation: 77/77=1 Current State: 97:[98, 1], Operations: ['3+74=77', '77/77=1'] Exploring Operation: 98-1=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 2, 37, 59, 1 ]
83
[ "59+1=60", "2*60=120", "120-37=83" ]
Current State: 83:[2, 37, 59, 1], Operations: [] Exploring Operation: 59+1=60, Resulting Numbers: [2, 37, 60] Generated Node #2: [2, 37, 60] from Operation: 59+1=60 Current State: 83:[2, 37, 60], Operations: ['59+1=60'] Exploring Operation: 2*60=120, Resulting Numbers: [37, 120] Generated Node #3: [37, 120] from Operation: 2*60=120 Current State: 83:[37, 120], Operations: ['59+1=60', '2*60=120'] Exploring Operation: 120-37=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 22, 24, 71, 60 ]
35
[ "22+24=46", "71-60=11", "46-11=35" ]
Current State: 35:[22, 24, 71, 60], Operations: [] Exploring Operation: 22+24=46, Resulting Numbers: [71, 60, 46] Generated Node #2: [71, 60, 46] from Operation: 22+24=46 Current State: 35:[71, 60, 46], Operations: ['22+24=46'] Exploring Operation: 71-60=11, Resulting Numbers: [46, 11] Generated Node #3: [46, 11] from Operation: 71-60=11 Current State: 35:[46, 11], Operations: ['22+24=46', '71-60=11'] Exploring Operation: 46-11=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 42, 9, 87, 91 ]
47
[ "42+9=51", "91-87=4", "51-4=47" ]
Current State: 47:[42, 9, 87, 91], Operations: [] Exploring Operation: 42+9=51, Resulting Numbers: [87, 91, 51] Generated Node #2: [87, 91, 51] from Operation: 42+9=51 Current State: 47:[87, 91, 51], Operations: ['42+9=51'] Exploring Operation: 91-87=4, Resulting Numbers: [51, 4] Generated Node #3: [51, 4] from Operation: 91-87=4 Current State: 47:[51, 4], Operations: ['42+9=51', '91-87=4'] Exploring Operation: 51-4=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 11, 71, 7, 88 ]
35
[ "71-11=60", "7+88=95", "95-60=35" ]
Current State: 35:[11, 71, 7, 88], Operations: [] Exploring Operation: 71-11=60, Resulting Numbers: [7, 88, 60] Generated Node #2: [7, 88, 60] from Operation: 71-11=60 Current State: 35:[7, 88, 60], Operations: ['71-11=60'] Exploring Operation: 7+88=95, Resulting Numbers: [60, 95] Generated Node #3: [60, 95] from Operation: 7+88=95 Current State: 35:[60, 95], Operations: ['71-11=60', '7+88=95'] Exploring Operation: 95-60=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 5, 24, 2, 47 ]
83
[ "24+2=26", "5*26=130", "130-47=83" ]
Current State: 83:[5, 24, 2, 47], Operations: [] Exploring Operation: 24+2=26, Resulting Numbers: [5, 47, 26] Generated Node #2: [5, 47, 26] from Operation: 24+2=26 Current State: 83:[5, 47, 26], Operations: ['24+2=26'] Exploring Operation: 5*26=130, Resulting Numbers: [47, 130] Generated Node #3: [47, 130] from Operation: 5*26=130 Current State: 83:[47, 130], Operations: ['24+2=26', '5*26=130'] Exploring Operation: 130-47=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 77, 99, 85, 17 ]
46
[ "99-77=22", "85-17=68", "68-22=46" ]
Current State: 46:[77, 99, 85, 17], Operations: [] Exploring Operation: 99-77=22, Resulting Numbers: [85, 17, 22] Generated Node #2: [85, 17, 22] from Operation: 99-77=22 Current State: 46:[85, 17, 22], Operations: ['99-77=22'] Exploring Operation: 85-17=68, Resulting Numbers: [22, 68] Generated Node #3: [22, 68] from Operation: 85-17=68 Current State: 46:[22, 68], Operations: ['99-77=22', '85-17=68'] Exploring Operation: 68-22=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 30, 95, 39, 64 ]
22
[ "30+95=125", "39+64=103", "125-103=22" ]
Current State: 22:[30, 95, 39, 64], Operations: [] Exploring Operation: 30+95=125, Resulting Numbers: [39, 64, 125] Generated Node #2: [39, 64, 125] from Operation: 30+95=125 Current State: 22:[39, 64, 125], Operations: ['30+95=125'] Exploring Operation: 39+64=103, Resulting Numbers: [125, 103] Generated Node #3: [125, 103] from Operation: 39+64=103 Current State: 22:[125, 103], Operations: ['30+95=125', '39+64=103'] Exploring Operation: 125-103=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4