Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files
xet
Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 39, 82, 3, 36 ]
31
[ "82-39=43", "36/3=12", "43-12=31" ]
Current State: 31:[39, 82, 3, 36], Operations: [] Exploring Operation: 82-39=43, Resulting Numbers: [3, 36, 43] Generated Node #2: [3, 36, 43] from Operation: 82-39=43 Current State: 31:[3, 36, 43], Operations: ['82-39=43'] Exploring Operation: 36/3=12, Resulting Numbers: [43, 12] Generated Node #3: [43, 12] from Operation: 36/3=12 Current State: 31:[43, 12], Operations: ['82-39=43', '36/3=12'] Exploring Operation: 43-12=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 89, 2, 68, 85 ]
55
[ "85-68=17", "2*17=34", "89-34=55" ]
Current State: 55:[89, 2, 68, 85], Operations: [] Exploring Operation: 85-68=17, Resulting Numbers: [89, 2, 17] Generated Node #2: [89, 2, 17] from Operation: 85-68=17 Current State: 55:[89, 2, 17], Operations: ['85-68=17'] Exploring Operation: 2*17=34, Resulting Numbers: [89, 34] Generated Node #3: [89, 34] from Operation: 2*17=34 Current State: 55:[89, 34], Operations: ['85-68=17', '2*17=34'] Exploring Operation: 89-34=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 40, 50, 5, 15 ]
14
[ "50*5=250", "250-40=210", "210/15=14" ]
Current State: 14:[40, 50, 5, 15], Operations: [] Exploring Operation: 50*5=250, Resulting Numbers: [40, 15, 250] Generated Node #2: [40, 15, 250] from Operation: 50*5=250 Current State: 14:[40, 15, 250], Operations: ['50*5=250'] Exploring Operation: 250-40=210, Resulting Numbers: [15, 210] Generated Node #3: [15, 210] from Operation: 250-40=210 Current State: 14:[15, 210], Operations: ['50*5=250', '250-40=210'] Exploring Operation: 210/15=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 30, 46, 77, 67 ]
68
[ "30+46=76", "77+67=144", "144-76=68" ]
Current State: 68:[30, 46, 77, 67], Operations: [] Exploring Operation: 30+46=76, Resulting Numbers: [77, 67, 76] Generated Node #2: [77, 67, 76] from Operation: 30+46=76 Current State: 68:[77, 67, 76], Operations: ['30+46=76'] Exploring Operation: 77+67=144, Resulting Numbers: [76, 144] Generated Node #3: [76, 144] from Operation: 77+67=144 Current State: 68:[76, 144], Operations: ['30+46=76', '77+67=144'] Exploring Operation: 144-76=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 90, 33, 69, 45 ]
57
[ "90-33=57", "69+45=114", "114-57=57" ]
Current State: 57:[90, 33, 69, 45], Operations: [] Exploring Operation: 90-33=57, Resulting Numbers: [69, 45, 57] Generated Node #2: [69, 45, 57] from Operation: 90-33=57 Current State: 57:[69, 45, 57], Operations: ['90-33=57'] Exploring Operation: 69+45=114, Resulting Numbers: [57, 114] Generated Node #3: [57, 114] from Operation: 69+45=114 Current State: 57:[57, 114], Operations: ['90-33=57', '69+45=114'] Exploring Operation: 114-57=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 75, 78, 94, 49 ]
10
[ "75+78=153", "94+49=143", "153-143=10" ]
Current State: 10:[75, 78, 94, 49], Operations: [] Exploring Operation: 75+78=153, Resulting Numbers: [94, 49, 153] Generated Node #2: [94, 49, 153] from Operation: 75+78=153 Current State: 10:[94, 49, 153], Operations: ['75+78=153'] Exploring Operation: 94+49=143, Resulting Numbers: [153, 143] Generated Node #3: [153, 143] from Operation: 94+49=143 Current State: 10:[153, 143], Operations: ['75+78=153', '94+49=143'] Exploring Operation: 153-143=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 32, 42, 7, 60 ]
86
[ "32+60=92", "42/7=6", "92-6=86" ]
Current State: 86:[32, 42, 7, 60], Operations: [] Exploring Operation: 32+60=92, Resulting Numbers: [42, 7, 92] Generated Node #2: [42, 7, 92] from Operation: 32+60=92 Current State: 86:[42, 7, 92], Operations: ['32+60=92'] Exploring Operation: 42/7=6, Resulting Numbers: [92, 6] Generated Node #3: [92, 6] from Operation: 42/7=6 Current State: 86:[92, 6], Operations: ['32+60=92', '42/7=6'] Exploring Operation: 92-6=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 18, 19, 38, 26 ]
10
[ "18*38=684", "684/19=36", "36-26=10" ]
Current State: 10:[18, 19, 38, 26], Operations: [] Exploring Operation: 18*38=684, Resulting Numbers: [19, 26, 684] Generated Node #2: [19, 26, 684] from Operation: 18*38=684 Current State: 10:[19, 26, 684], Operations: ['18*38=684'] Exploring Operation: 684/19=36, Resulting Numbers: [26, 36] Generated Node #3: [26, 36] from Operation: 684/19=36 Current State: 10:[26, 36], Operations: ['18*38=684', '684/19=36'] Exploring Operation: 36-26=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 78, 8, 82, 19 ]
39
[ "78+82=160", "160/8=20", "19+20=39" ]
Current State: 39:[78, 8, 82, 19], Operations: [] Exploring Operation: 78+82=160, Resulting Numbers: [8, 19, 160] Generated Node #2: [8, 19, 160] from Operation: 78+82=160 Current State: 39:[8, 19, 160], Operations: ['78+82=160'] Exploring Operation: 160/8=20, Resulting Numbers: [19, 20] Generated Node #3: [19, 20] from Operation: 160/8=20 Current State: 39:[19, 20], Operations: ['78+82=160', '160/8=20'] Exploring Operation: 19+20=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 29, 12, 24, 6 ]
90
[ "29-24=5", "12+6=18", "5*18=90" ]
Current State: 90:[29, 12, 24, 6], Operations: [] Exploring Operation: 29-24=5, Resulting Numbers: [12, 6, 5] Generated Node #2: [12, 6, 5] from Operation: 29-24=5 Current State: 90:[12, 6, 5], Operations: ['29-24=5'] Exploring Operation: 12+6=18, Resulting Numbers: [5, 18] Generated Node #3: [5, 18] from Operation: 12+6=18 Current State: 90:[5, 18], Operations: ['29-24=5', '12+6=18'] Exploring Operation: 5*18=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 60, 11, 41, 8 ]
29
[ "60*8=480", "11*41=451", "480-451=29" ]
Current State: 29:[60, 11, 41, 8], Operations: [] Exploring Operation: 60*8=480, Resulting Numbers: [11, 41, 480] Generated Node #2: [11, 41, 480] from Operation: 60*8=480 Current State: 29:[11, 41, 480], Operations: ['60*8=480'] Exploring Operation: 11*41=451, Resulting Numbers: [480, 451] Generated Node #3: [480, 451] from Operation: 11*41=451 Current State: 29:[480, 451], Operations: ['60*8=480', '11*41=451'] Exploring Operation: 480-451=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 74, 30, 15, 79 ]
40
[ "74+30=104", "79-15=64", "104-64=40" ]
Current State: 40:[74, 30, 15, 79], Operations: [] Exploring Operation: 74+30=104, Resulting Numbers: [15, 79, 104] Generated Node #2: [15, 79, 104] from Operation: 74+30=104 Current State: 40:[15, 79, 104], Operations: ['74+30=104'] Exploring Operation: 79-15=64, Resulting Numbers: [104, 64] Generated Node #3: [104, 64] from Operation: 79-15=64 Current State: 40:[104, 64], Operations: ['74+30=104', '79-15=64'] Exploring Operation: 104-64=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 68, 47, 4, 46 ]
65
[ "68+47=115", "4+46=50", "115-50=65" ]
Current State: 65:[68, 47, 4, 46], Operations: [] Exploring Operation: 68+47=115, Resulting Numbers: [4, 46, 115] Generated Node #2: [4, 46, 115] from Operation: 68+47=115 Current State: 65:[4, 46, 115], Operations: ['68+47=115'] Exploring Operation: 4+46=50, Resulting Numbers: [115, 50] Generated Node #3: [115, 50] from Operation: 4+46=50 Current State: 65:[115, 50], Operations: ['68+47=115', '4+46=50'] Exploring Operation: 115-50=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 46, 38, 55, 36 ]
37
[ "38-36=2", "46*2=92", "92-55=37" ]
Current State: 37:[46, 38, 55, 36], Operations: [] Exploring Operation: 38-36=2, Resulting Numbers: [46, 55, 2] Generated Node #2: [46, 55, 2] from Operation: 38-36=2 Current State: 37:[46, 55, 2], Operations: ['38-36=2'] Exploring Operation: 46*2=92, Resulting Numbers: [55, 92] Generated Node #3: [55, 92] from Operation: 46*2=92 Current State: 37:[55, 92], Operations: ['38-36=2', '46*2=92'] Exploring Operation: 92-55=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 34, 50, 14, 53 ]
51
[ "50-34=16", "14+53=67", "67-16=51" ]
Current State: 51:[34, 50, 14, 53], Operations: [] Exploring Operation: 50-34=16, Resulting Numbers: [14, 53, 16] Generated Node #2: [14, 53, 16] from Operation: 50-34=16 Current State: 51:[14, 53, 16], Operations: ['50-34=16'] Exploring Operation: 14+53=67, Resulting Numbers: [16, 67] Generated Node #3: [16, 67] from Operation: 14+53=67 Current State: 51:[16, 67], Operations: ['50-34=16', '14+53=67'] Exploring Operation: 67-16=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 30, 57, 63, 80 ]
76
[ "57+63=120", "120/30=4", "80-4=76" ]
Current State: 76:[30, 57, 63, 80], Operations: [] Exploring Operation: 57+63=120, Resulting Numbers: [30, 80, 120] Generated Node #2: [30, 80, 120] from Operation: 57+63=120 Current State: 76:[30, 80, 120], Operations: ['57+63=120'] Exploring Operation: 120/30=4, Resulting Numbers: [80, 4] Generated Node #3: [80, 4] from Operation: 120/30=4 Current State: 76:[80, 4], Operations: ['57+63=120', '120/30=4'] Exploring Operation: 80-4=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 33, 74, 16, 47 ]
69
[ "33+47=80", "80/16=5", "74-5=69" ]
Current State: 69:[33, 74, 16, 47], Operations: [] Exploring Operation: 33+47=80, Resulting Numbers: [74, 16, 80] Generated Node #2: [74, 16, 80] from Operation: 33+47=80 Current State: 69:[74, 16, 80], Operations: ['33+47=80'] Exploring Operation: 80/16=5, Resulting Numbers: [74, 5] Generated Node #3: [74, 5] from Operation: 80/16=5 Current State: 69:[74, 5], Operations: ['33+47=80', '80/16=5'] Exploring Operation: 74-5=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 80, 63, 34, 88 ]
89
[ "80+63=143", "88-34=54", "143-54=89" ]
Current State: 89:[80, 63, 34, 88], Operations: [] Exploring Operation: 80+63=143, Resulting Numbers: [34, 88, 143] Generated Node #2: [34, 88, 143] from Operation: 80+63=143 Current State: 89:[34, 88, 143], Operations: ['80+63=143'] Exploring Operation: 88-34=54, Resulting Numbers: [143, 54] Generated Node #3: [143, 54] from Operation: 88-34=54 Current State: 89:[143, 54], Operations: ['80+63=143', '88-34=54'] Exploring Operation: 143-54=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 8, 32, 23, 29 ]
64
[ "8+23=31", "31-29=2", "32*2=64" ]
Current State: 64:[8, 32, 23, 29], Operations: [] Exploring Operation: 8+23=31, Resulting Numbers: [32, 29, 31] Generated Node #2: [32, 29, 31] from Operation: 8+23=31 Current State: 64:[32, 29, 31], Operations: ['8+23=31'] Exploring Operation: 31-29=2, Resulting Numbers: [32, 2] Generated Node #3: [32, 2] from Operation: 31-29=2 Current State: 64:[32, 2], Operations: ['8+23=31', '31-29=2'] Exploring Operation: 32*2=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 19, 76, 69, 62 ]
88
[ "19+76=95", "69-62=7", "95-7=88" ]
Current State: 88:[19, 76, 69, 62], Operations: [] Exploring Operation: 19+76=95, Resulting Numbers: [69, 62, 95] Generated Node #2: [69, 62, 95] from Operation: 19+76=95 Current State: 88:[69, 62, 95], Operations: ['19+76=95'] Exploring Operation: 69-62=7, Resulting Numbers: [95, 7] Generated Node #3: [95, 7] from Operation: 69-62=7 Current State: 88:[95, 7], Operations: ['19+76=95', '69-62=7'] Exploring Operation: 95-7=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 74, 12, 87, 39 ]
36
[ "87-74=13", "12*39=468", "468/13=36" ]
Current State: 36:[74, 12, 87, 39], Operations: [] Exploring Operation: 87-74=13, Resulting Numbers: [12, 39, 13] Generated Node #2: [12, 39, 13] from Operation: 87-74=13 Current State: 36:[12, 39, 13], Operations: ['87-74=13'] Exploring Operation: 12*39=468, Resulting Numbers: [13, 468] Generated Node #3: [13, 468] from Operation: 12*39=468 Current State: 36:[13, 468], Operations: ['87-74=13', '12*39=468'] Exploring Operation: 468/13=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 69, 91, 2, 7 ]
37
[ "91-69=22", "2*22=44", "44-7=37" ]
Current State: 37:[69, 91, 2, 7], Operations: [] Exploring Operation: 91-69=22, Resulting Numbers: [2, 7, 22] Generated Node #2: [2, 7, 22] from Operation: 91-69=22 Current State: 37:[2, 7, 22], Operations: ['91-69=22'] Exploring Operation: 2*22=44, Resulting Numbers: [7, 44] Generated Node #3: [7, 44] from Operation: 2*22=44 Current State: 37:[7, 44], Operations: ['91-69=22', '2*22=44'] Exploring Operation: 44-7=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 53, 67, 26, 8 ]
86
[ "53+67=120", "26+8=34", "120-34=86" ]
Current State: 86:[53, 67, 26, 8], Operations: [] Exploring Operation: 53+67=120, Resulting Numbers: [26, 8, 120] Generated Node #2: [26, 8, 120] from Operation: 53+67=120 Current State: 86:[26, 8, 120], Operations: ['53+67=120'] Exploring Operation: 26+8=34, Resulting Numbers: [120, 34] Generated Node #3: [120, 34] from Operation: 26+8=34 Current State: 86:[120, 34], Operations: ['53+67=120', '26+8=34'] Exploring Operation: 120-34=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 8, 76, 44, 93 ]
53
[ "8+76=84", "44+93=137", "137-84=53" ]
Current State: 53:[8, 76, 44, 93], Operations: [] Exploring Operation: 8+76=84, Resulting Numbers: [44, 93, 84] Generated Node #2: [44, 93, 84] from Operation: 8+76=84 Current State: 53:[44, 93, 84], Operations: ['8+76=84'] Exploring Operation: 44+93=137, Resulting Numbers: [84, 137] Generated Node #3: [84, 137] from Operation: 44+93=137 Current State: 53:[84, 137], Operations: ['8+76=84', '44+93=137'] Exploring Operation: 137-84=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 41, 86, 45, 95 ]
95
[ "86-41=45", "45+95=140", "140-45=95" ]
Current State: 95:[41, 86, 45, 95], Operations: [] Exploring Operation: 86-41=45, Resulting Numbers: [45, 95, 45] Generated Node #2: [45, 95, 45] from Operation: 86-41=45 Current State: 95:[45, 95, 45], Operations: ['86-41=45'] Exploring Operation: 45+95=140, Resulting Numbers: [140] 140,95 equal: Goal Reached Exploring Operation: 140-45=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 72, 69, 56, 11 ]
96
[ "72+69=141", "56-11=45", "141-45=96" ]
Current State: 96:[72, 69, 56, 11], Operations: [] Exploring Operation: 72+69=141, Resulting Numbers: [56, 11, 141] Generated Node #2: [56, 11, 141] from Operation: 72+69=141 Current State: 96:[56, 11, 141], Operations: ['72+69=141'] Exploring Operation: 56-11=45, Resulting Numbers: [141, 45] Generated Node #3: [141, 45] from Operation: 56-11=45 Current State: 96:[141, 45], Operations: ['72+69=141', '56-11=45'] Exploring Operation: 141-45=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 97, 85, 83, 82 ]
67
[ "85-83=2", "82*2=164", "164-97=67" ]
Current State: 67:[97, 85, 83, 82], Operations: [] Exploring Operation: 85-83=2, Resulting Numbers: [97, 82, 2] Generated Node #2: [97, 82, 2] from Operation: 85-83=2 Current State: 67:[97, 82, 2], Operations: ['85-83=2'] Exploring Operation: 82*2=164, Resulting Numbers: [97, 164] Generated Node #3: [97, 164] from Operation: 82*2=164 Current State: 67:[97, 164], Operations: ['85-83=2', '82*2=164'] Exploring Operation: 164-97=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 20, 8, 10, 12 ]
44
[ "10-8=2", "12*2=24", "20+24=44" ]
Current State: 44:[20, 8, 10, 12], Operations: [] Exploring Operation: 10-8=2, Resulting Numbers: [20, 12, 2] Generated Node #2: [20, 12, 2] from Operation: 10-8=2 Current State: 44:[20, 12, 2], Operations: ['10-8=2'] Exploring Operation: 12*2=24, Resulting Numbers: [20, 24] Generated Node #3: [20, 24] from Operation: 12*2=24 Current State: 44:[20, 24], Operations: ['10-8=2', '12*2=24'] Exploring Operation: 20+24=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 10, 43, 67, 71 ]
49
[ "10+43=53", "71-67=4", "53-4=49" ]
Current State: 49:[10, 43, 67, 71], Operations: [] Exploring Operation: 10+43=53, Resulting Numbers: [67, 71, 53] Generated Node #2: [67, 71, 53] from Operation: 10+43=53 Current State: 49:[67, 71, 53], Operations: ['10+43=53'] Exploring Operation: 71-67=4, Resulting Numbers: [53, 4] Generated Node #3: [53, 4] from Operation: 71-67=4 Current State: 49:[53, 4], Operations: ['10+43=53', '71-67=4'] Exploring Operation: 53-4=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 39, 85, 89, 35 ]
78
[ "85-39=46", "89+35=124", "124-46=78" ]
Current State: 78:[39, 85, 89, 35], Operations: [] Exploring Operation: 85-39=46, Resulting Numbers: [89, 35, 46] Generated Node #2: [89, 35, 46] from Operation: 85-39=46 Current State: 78:[89, 35, 46], Operations: ['85-39=46'] Exploring Operation: 89+35=124, Resulting Numbers: [46, 124] Generated Node #3: [46, 124] from Operation: 89+35=124 Current State: 78:[46, 124], Operations: ['85-39=46', '89+35=124'] Exploring Operation: 124-46=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 14, 79, 74, 9 ]
69
[ "79-9=70", "70/14=5", "74-5=69" ]
Current State: 69:[14, 79, 74, 9], Operations: [] Exploring Operation: 79-9=70, Resulting Numbers: [14, 74, 70] Generated Node #2: [14, 74, 70] from Operation: 79-9=70 Current State: 69:[14, 74, 70], Operations: ['79-9=70'] Exploring Operation: 70/14=5, Resulting Numbers: [74, 5] Generated Node #3: [74, 5] from Operation: 70/14=5 Current State: 69:[74, 5], Operations: ['79-9=70', '70/14=5'] Exploring Operation: 74-5=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 69, 23, 20, 19 ]
36
[ "69/23=3", "20+19=39", "39-3=36" ]
Current State: 36:[69, 23, 20, 19], Operations: [] Exploring Operation: 69/23=3, Resulting Numbers: [20, 19, 3] Generated Node #2: [20, 19, 3] from Operation: 69/23=3 Current State: 36:[20, 19, 3], Operations: ['69/23=3'] Exploring Operation: 20+19=39, Resulting Numbers: [3, 39] Generated Node #3: [3, 39] from Operation: 20+19=39 Current State: 36:[3, 39], Operations: ['69/23=3', '20+19=39'] Exploring Operation: 39-3=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 77, 49, 80, 77 ]
30
[ "77/77=1", "80-49=31", "31-1=30" ]
Current State: 30:[77, 49, 80, 77], Operations: [] Exploring Operation: 77/77=1, Resulting Numbers: [49, 80, 1] Generated Node #2: [49, 80, 1] from Operation: 77/77=1 Current State: 30:[49, 80, 1], Operations: ['77/77=1'] Exploring Operation: 80-49=31, Resulting Numbers: [1, 31] Generated Node #3: [1, 31] from Operation: 80-49=31 Current State: 30:[1, 31], Operations: ['77/77=1', '80-49=31'] Exploring Operation: 31-1=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 72, 60, 95, 19 ]
95
[ "72*95=6840", "6840/60=114", "114-19=95" ]
Current State: 95:[72, 60, 95, 19], Operations: [] Exploring Operation: 72*95=6840, Resulting Numbers: [60, 19, 6840] Generated Node #2: [60, 19, 6840] from Operation: 72*95=6840 Current State: 95:[60, 19, 6840], Operations: ['72*95=6840'] Exploring Operation: 6840/60=114, Resulting Numbers: [19, 114] Generated Node #3: [19, 114] from Operation: 6840/60=114 Current State: 95:[19, 114], Operations: ['72*95=6840', '6840/60=114'] Exploring Operation: 114-19=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 16, 42, 50, 43 ]
86
[ "16*43=688", "50-42=8", "688/8=86" ]
Current State: 86:[16, 42, 50, 43], Operations: [] Exploring Operation: 16*43=688, Resulting Numbers: [42, 50, 688] Generated Node #2: [42, 50, 688] from Operation: 16*43=688 Current State: 86:[42, 50, 688], Operations: ['16*43=688'] Exploring Operation: 50-42=8, Resulting Numbers: [688, 8] Generated Node #3: [688, 8] from Operation: 50-42=8 Current State: 86:[688, 8], Operations: ['16*43=688', '50-42=8'] Exploring Operation: 688/8=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 26, 82, 83, 41 ]
16
[ "26+82=108", "83+41=124", "124-108=16" ]
Current State: 16:[26, 82, 83, 41], Operations: [] Exploring Operation: 26+82=108, Resulting Numbers: [83, 41, 108] Generated Node #2: [83, 41, 108] from Operation: 26+82=108 Current State: 16:[83, 41, 108], Operations: ['26+82=108'] Exploring Operation: 83+41=124, Resulting Numbers: [108, 124] Generated Node #3: [108, 124] from Operation: 83+41=124 Current State: 16:[108, 124], Operations: ['26+82=108', '83+41=124'] Exploring Operation: 124-108=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 4, 32, 90, 82 ]
30
[ "90-82=8", "8/4=2", "32-2=30" ]
Current State: 30:[4, 32, 90, 82], Operations: [] Exploring Operation: 90-82=8, Resulting Numbers: [4, 32, 8] Generated Node #2: [4, 32, 8] from Operation: 90-82=8 Current State: 30:[4, 32, 8], Operations: ['90-82=8'] Exploring Operation: 8/4=2, Resulting Numbers: [32, 2] Generated Node #3: [32, 2] from Operation: 8/4=2 Current State: 30:[32, 2], Operations: ['90-82=8', '8/4=2'] Exploring Operation: 32-2=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 8, 51, 78, 44 ]
78
[ "51-8=43", "44-43=1", "78*1=78" ]
Current State: 78:[8, 51, 78, 44], Operations: [] Exploring Operation: 51-8=43, Resulting Numbers: [78, 44, 43] Generated Node #2: [78, 44, 43] from Operation: 51-8=43 Current State: 78:[78, 44, 43], Operations: ['51-8=43'] Exploring Operation: 44-43=1, Resulting Numbers: [78, 1] Generated Node #3: [78, 1] from Operation: 44-43=1 Current State: 78:[78, 1], Operations: ['51-8=43', '44-43=1'] Exploring Operation: 78*1=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 2, 56, 51, 70 ]
30
[ "70/2=35", "56-51=5", "35-5=30" ]
Current State: 30:[2, 56, 51, 70], Operations: [] Exploring Operation: 70/2=35, Resulting Numbers: [56, 51, 35] Generated Node #2: [56, 51, 35] from Operation: 70/2=35 Current State: 30:[56, 51, 35], Operations: ['70/2=35'] Exploring Operation: 56-51=5, Resulting Numbers: [35, 5] Generated Node #3: [35, 5] from Operation: 56-51=5 Current State: 30:[35, 5], Operations: ['70/2=35', '56-51=5'] Exploring Operation: 35-5=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 39, 54, 42, 21 ]
95
[ "39+54=93", "42/21=2", "93+2=95" ]
Current State: 95:[39, 54, 42, 21], Operations: [] Exploring Operation: 39+54=93, Resulting Numbers: [42, 21, 93] Generated Node #2: [42, 21, 93] from Operation: 39+54=93 Current State: 95:[42, 21, 93], Operations: ['39+54=93'] Exploring Operation: 42/21=2, Resulting Numbers: [93, 2] Generated Node #3: [93, 2] from Operation: 42/21=2 Current State: 95:[93, 2], Operations: ['39+54=93', '42/21=2'] Exploring Operation: 93+2=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 19, 6, 23, 14 ]
22
[ "19-6=13", "23-14=9", "13+9=22" ]
Current State: 22:[19, 6, 23, 14], Operations: [] Exploring Operation: 19-6=13, Resulting Numbers: [23, 14, 13] Generated Node #2: [23, 14, 13] from Operation: 19-6=13 Current State: 22:[23, 14, 13], Operations: ['19-6=13'] Exploring Operation: 23-14=9, Resulting Numbers: [13, 9] Generated Node #3: [13, 9] from Operation: 23-14=9 Current State: 22:[13, 9], Operations: ['19-6=13', '23-14=9'] Exploring Operation: 13+9=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 55, 29, 32, 18 ]
98
[ "55+29=84", "32-18=14", "84+14=98" ]
Current State: 98:[55, 29, 32, 18], Operations: [] Exploring Operation: 55+29=84, Resulting Numbers: [32, 18, 84] Generated Node #2: [32, 18, 84] from Operation: 55+29=84 Current State: 98:[32, 18, 84], Operations: ['55+29=84'] Exploring Operation: 32-18=14, Resulting Numbers: [84, 14] Generated Node #3: [84, 14] from Operation: 32-18=14 Current State: 98:[84, 14], Operations: ['55+29=84', '32-18=14'] Exploring Operation: 84+14=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 64, 6, 60, 74 ]
100
[ "74-64=10", "60/6=10", "10*10=100" ]
Current State: 100:[64, 6, 60, 74], Operations: [] Exploring Operation: 74-64=10, Resulting Numbers: [6, 60, 10] Generated Node #2: [6, 60, 10] from Operation: 74-64=10 Current State: 100:[6, 60, 10], Operations: ['74-64=10'] Exploring Operation: 60/6=10, Resulting Numbers: [10, 10] Generated Node #3: [10, 10] from Operation: 60/6=10 Current State: 100:[10, 10], Operations: ['74-64=10', '60/6=10'] Exploring Operation: 10*10=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 13, 70, 66, 62 ]
87
[ "13+70=83", "66-62=4", "83+4=87" ]
Current State: 87:[13, 70, 66, 62], Operations: [] Exploring Operation: 13+70=83, Resulting Numbers: [66, 62, 83] Generated Node #2: [66, 62, 83] from Operation: 13+70=83 Current State: 87:[66, 62, 83], Operations: ['13+70=83'] Exploring Operation: 66-62=4, Resulting Numbers: [83, 4] Generated Node #3: [83, 4] from Operation: 66-62=4 Current State: 87:[83, 4], Operations: ['13+70=83', '66-62=4'] Exploring Operation: 83+4=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 58, 62, 2, 18 ]
72
[ "58*2=116", "62-18=44", "116-44=72" ]
Current State: 72:[58, 62, 2, 18], Operations: [] Exploring Operation: 58*2=116, Resulting Numbers: [62, 18, 116] Generated Node #2: [62, 18, 116] from Operation: 58*2=116 Current State: 72:[62, 18, 116], Operations: ['58*2=116'] Exploring Operation: 62-18=44, Resulting Numbers: [116, 44] Generated Node #3: [116, 44] from Operation: 62-18=44 Current State: 72:[116, 44], Operations: ['58*2=116', '62-18=44'] Exploring Operation: 116-44=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 82, 59, 50, 2 ]
14
[ "82+50=132", "59*2=118", "132-118=14" ]
Current State: 14:[82, 59, 50, 2], Operations: [] Exploring Operation: 82+50=132, Resulting Numbers: [59, 2, 132] Generated Node #2: [59, 2, 132] from Operation: 82+50=132 Current State: 14:[59, 2, 132], Operations: ['82+50=132'] Exploring Operation: 59*2=118, Resulting Numbers: [132, 118] Generated Node #3: [132, 118] from Operation: 59*2=118 Current State: 14:[132, 118], Operations: ['82+50=132', '59*2=118'] Exploring Operation: 132-118=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 9, 81, 56, 35 ]
100
[ "81/9=9", "56+35=91", "9+91=100" ]
Current State: 100:[9, 81, 56, 35], Operations: [] Exploring Operation: 81/9=9, Resulting Numbers: [56, 35, 9] Generated Node #2: [56, 35, 9] from Operation: 81/9=9 Current State: 100:[56, 35, 9], Operations: ['81/9=9'] Exploring Operation: 56+35=91, Resulting Numbers: [9, 91] Generated Node #3: [9, 91] from Operation: 56+35=91 Current State: 100:[9, 91], Operations: ['81/9=9', '56+35=91'] Exploring Operation: 9+91=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 61, 92, 62, 63 ]
65
[ "92-61=31", "62/31=2", "63+2=65" ]
Current State: 65:[61, 92, 62, 63], Operations: [] Exploring Operation: 92-61=31, Resulting Numbers: [62, 63, 31] Generated Node #2: [62, 63, 31] from Operation: 92-61=31 Current State: 65:[62, 63, 31], Operations: ['92-61=31'] Exploring Operation: 62/31=2, Resulting Numbers: [63, 2] Generated Node #3: [63, 2] from Operation: 62/31=2 Current State: 65:[63, 2], Operations: ['92-61=31', '62/31=2'] Exploring Operation: 63+2=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 49, 99, 91, 16 ]
41
[ "49+99=148", "91+16=107", "148-107=41" ]
Current State: 41:[49, 99, 91, 16], Operations: [] Exploring Operation: 49+99=148, Resulting Numbers: [91, 16, 148] Generated Node #2: [91, 16, 148] from Operation: 49+99=148 Current State: 41:[91, 16, 148], Operations: ['49+99=148'] Exploring Operation: 91+16=107, Resulting Numbers: [148, 107] Generated Node #3: [148, 107] from Operation: 91+16=107 Current State: 41:[148, 107], Operations: ['49+99=148', '91+16=107'] Exploring Operation: 148-107=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 15, 45, 38, 65 ]
57
[ "45-15=30", "65-38=27", "30+27=57" ]
Current State: 57:[15, 45, 38, 65], Operations: [] Exploring Operation: 45-15=30, Resulting Numbers: [38, 65, 30] Generated Node #2: [38, 65, 30] from Operation: 45-15=30 Current State: 57:[38, 65, 30], Operations: ['45-15=30'] Exploring Operation: 65-38=27, Resulting Numbers: [30, 27] Generated Node #3: [30, 27] from Operation: 65-38=27 Current State: 57:[30, 27], Operations: ['45-15=30', '65-38=27'] Exploring Operation: 30+27=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 18, 7, 70, 23 ]
76
[ "18*23=414", "7*70=490", "490-414=76" ]
Current State: 76:[18, 7, 70, 23], Operations: [] Exploring Operation: 18*23=414, Resulting Numbers: [7, 70, 414] Generated Node #2: [7, 70, 414] from Operation: 18*23=414 Current State: 76:[7, 70, 414], Operations: ['18*23=414'] Exploring Operation: 7*70=490, Resulting Numbers: [414, 490] Generated Node #3: [414, 490] from Operation: 7*70=490 Current State: 76:[414, 490], Operations: ['18*23=414', '7*70=490'] Exploring Operation: 490-414=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 5, 79, 60, 40 ]
55
[ "79-60=19", "5*19=95", "95-40=55" ]
Current State: 55:[5, 79, 60, 40], Operations: [] Exploring Operation: 79-60=19, Resulting Numbers: [5, 40, 19] Generated Node #2: [5, 40, 19] from Operation: 79-60=19 Current State: 55:[5, 40, 19], Operations: ['79-60=19'] Exploring Operation: 5*19=95, Resulting Numbers: [40, 95] Generated Node #3: [40, 95] from Operation: 5*19=95 Current State: 55:[40, 95], Operations: ['79-60=19', '5*19=95'] Exploring Operation: 95-40=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 2, 92, 97, 13 ]
20
[ "92-2=90", "97+13=110", "110-90=20" ]
Current State: 20:[2, 92, 97, 13], Operations: [] Exploring Operation: 92-2=90, Resulting Numbers: [97, 13, 90] Generated Node #2: [97, 13, 90] from Operation: 92-2=90 Current State: 20:[97, 13, 90], Operations: ['92-2=90'] Exploring Operation: 97+13=110, Resulting Numbers: [90, 110] Generated Node #3: [90, 110] from Operation: 97+13=110 Current State: 20:[90, 110], Operations: ['92-2=90', '97+13=110'] Exploring Operation: 110-90=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 78, 13, 13, 12 ]
31
[ "78/13=6", "13+12=25", "6+25=31" ]
Current State: 31:[78, 13, 13, 12], Operations: [] Exploring Operation: 78/13=6, Resulting Numbers: [12, 6] Generated Node #2: [12, 6] from Operation: 78/13=6 Current State: 31:[12, 6], Operations: ['78/13=6'] Exploring Operation: 13+12=25, Resulting Numbers: [6, 25] Generated Node #3: [6, 25] from Operation: 13+12=25 Current State: 31:[6, 25], Operations: ['78/13=6', '13+12=25'] Exploring Operation: 6+25=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 81, 49, 78, 5 ]
64
[ "81-78=3", "5*3=15", "49+15=64" ]
Current State: 64:[81, 49, 78, 5], Operations: [] Exploring Operation: 81-78=3, Resulting Numbers: [49, 5, 3] Generated Node #2: [49, 5, 3] from Operation: 81-78=3 Current State: 64:[49, 5, 3], Operations: ['81-78=3'] Exploring Operation: 5*3=15, Resulting Numbers: [49, 15] Generated Node #3: [49, 15] from Operation: 5*3=15 Current State: 64:[49, 15], Operations: ['81-78=3', '5*3=15'] Exploring Operation: 49+15=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 63, 20, 30, 58 ]
50
[ "63-58=5", "30-20=10", "5*10=50" ]
Current State: 50:[63, 20, 30, 58], Operations: [] Exploring Operation: 63-58=5, Resulting Numbers: [20, 30, 5] Generated Node #2: [20, 30, 5] from Operation: 63-58=5 Current State: 50:[20, 30, 5], Operations: ['63-58=5'] Exploring Operation: 30-20=10, Resulting Numbers: [5, 10] Generated Node #3: [5, 10] from Operation: 30-20=10 Current State: 50:[5, 10], Operations: ['63-58=5', '30-20=10'] Exploring Operation: 5*10=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 9, 50, 48, 44 ]
31
[ "50-48=2", "44/2=22", "9+22=31" ]
Current State: 31:[9, 50, 48, 44], Operations: [] Exploring Operation: 50-48=2, Resulting Numbers: [9, 44, 2] Generated Node #2: [9, 44, 2] from Operation: 50-48=2 Current State: 31:[9, 44, 2], Operations: ['50-48=2'] Exploring Operation: 44/2=22, Resulting Numbers: [9, 22] Generated Node #3: [9, 22] from Operation: 44/2=22 Current State: 31:[9, 22], Operations: ['50-48=2', '44/2=22'] Exploring Operation: 9+22=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 14, 3, 21, 20 ]
12
[ "14-3=11", "21-20=1", "11+1=12" ]
Current State: 12:[14, 3, 21, 20], Operations: [] Exploring Operation: 14-3=11, Resulting Numbers: [21, 20, 11] Generated Node #2: [21, 20, 11] from Operation: 14-3=11 Current State: 12:[21, 20, 11], Operations: ['14-3=11'] Exploring Operation: 21-20=1, Resulting Numbers: [11, 1] Generated Node #3: [11, 1] from Operation: 21-20=1 Current State: 12:[11, 1], Operations: ['14-3=11', '21-20=1'] Exploring Operation: 11+1=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 7, 12, 25, 93 ]
48
[ "7+93=100", "12*100=1200", "1200/25=48" ]
Current State: 48:[7, 12, 25, 93], Operations: [] Exploring Operation: 7+93=100, Resulting Numbers: [12, 25, 100] Generated Node #2: [12, 25, 100] from Operation: 7+93=100 Current State: 48:[12, 25, 100], Operations: ['7+93=100'] Exploring Operation: 12*100=1200, Resulting Numbers: [25, 1200] Generated Node #3: [25, 1200] from Operation: 12*100=1200 Current State: 48:[25, 1200], Operations: ['7+93=100', '12*100=1200'] Exploring Operation: 1200/25=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 14, 4, 8, 90 ]
18
[ "14*8=112", "4+90=94", "112-94=18" ]
Current State: 18:[14, 4, 8, 90], Operations: [] Exploring Operation: 14*8=112, Resulting Numbers: [4, 90, 112] Generated Node #2: [4, 90, 112] from Operation: 14*8=112 Current State: 18:[4, 90, 112], Operations: ['14*8=112'] Exploring Operation: 4+90=94, Resulting Numbers: [112, 94] Generated Node #3: [112, 94] from Operation: 4+90=94 Current State: 18:[112, 94], Operations: ['14*8=112', '4+90=94'] Exploring Operation: 112-94=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 21, 61, 28, 60 ]
19
[ "28*60=1680", "1680/21=80", "80-61=19" ]
Current State: 19:[21, 61, 28, 60], Operations: [] Exploring Operation: 28*60=1680, Resulting Numbers: [21, 61, 1680] Generated Node #2: [21, 61, 1680] from Operation: 28*60=1680 Current State: 19:[21, 61, 1680], Operations: ['28*60=1680'] Exploring Operation: 1680/21=80, Resulting Numbers: [61, 80] Generated Node #3: [61, 80] from Operation: 1680/21=80 Current State: 19:[61, 80], Operations: ['28*60=1680', '1680/21=80'] Exploring Operation: 80-61=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 94, 29, 36, 1 ]
88
[ "94+29=123", "36-1=35", "123-35=88" ]
Current State: 88:[94, 29, 36, 1], Operations: [] Exploring Operation: 94+29=123, Resulting Numbers: [36, 1, 123] Generated Node #2: [36, 1, 123] from Operation: 94+29=123 Current State: 88:[36, 1, 123], Operations: ['94+29=123'] Exploring Operation: 36-1=35, Resulting Numbers: [123, 35] Generated Node #3: [123, 35] from Operation: 36-1=35 Current State: 88:[123, 35], Operations: ['94+29=123', '36-1=35'] Exploring Operation: 123-35=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 10, 76, 25, 12 ]
73
[ "10+76=86", "25-12=13", "86-13=73" ]
Current State: 73:[10, 76, 25, 12], Operations: [] Exploring Operation: 10+76=86, Resulting Numbers: [25, 12, 86] Generated Node #2: [25, 12, 86] from Operation: 10+76=86 Current State: 73:[25, 12, 86], Operations: ['10+76=86'] Exploring Operation: 25-12=13, Resulting Numbers: [86, 13] Generated Node #3: [86, 13] from Operation: 25-12=13 Current State: 73:[86, 13], Operations: ['10+76=86', '25-12=13'] Exploring Operation: 86-13=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 46, 81, 91, 5 ]
13
[ "81-46=35", "91*5=455", "455/35=13" ]
Current State: 13:[46, 81, 91, 5], Operations: [] Exploring Operation: 81-46=35, Resulting Numbers: [91, 5, 35] Generated Node #2: [91, 5, 35] from Operation: 81-46=35 Current State: 13:[91, 5, 35], Operations: ['81-46=35'] Exploring Operation: 91*5=455, Resulting Numbers: [35, 455] Generated Node #3: [35, 455] from Operation: 91*5=455 Current State: 13:[35, 455], Operations: ['81-46=35', '91*5=455'] Exploring Operation: 455/35=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 80, 4, 15, 30 ]
40
[ "80/4=20", "30/15=2", "20*2=40" ]
Current State: 40:[80, 4, 15, 30], Operations: [] Exploring Operation: 80/4=20, Resulting Numbers: [15, 30, 20] Generated Node #2: [15, 30, 20] from Operation: 80/4=20 Current State: 40:[15, 30, 20], Operations: ['80/4=20'] Exploring Operation: 30/15=2, Resulting Numbers: [20, 2] Generated Node #3: [20, 2] from Operation: 30/15=2 Current State: 40:[20, 2], Operations: ['80/4=20', '30/15=2'] Exploring Operation: 20*2=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 33, 28, 63, 69 ]
24
[ "63+69=132", "132/33=4", "28-4=24" ]
Current State: 24:[33, 28, 63, 69], Operations: [] Exploring Operation: 63+69=132, Resulting Numbers: [33, 28, 132] Generated Node #2: [33, 28, 132] from Operation: 63+69=132 Current State: 24:[33, 28, 132], Operations: ['63+69=132'] Exploring Operation: 132/33=4, Resulting Numbers: [28, 4] Generated Node #3: [28, 4] from Operation: 132/33=4 Current State: 24:[28, 4], Operations: ['63+69=132', '132/33=4'] Exploring Operation: 28-4=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 62, 40, 59, 59 ]
33
[ "62-59=3", "40+59=99", "99/3=33" ]
Current State: 33:[62, 40, 59, 59], Operations: [] Exploring Operation: 62-59=3, Resulting Numbers: [40, 3] Generated Node #2: [40, 3] from Operation: 62-59=3 Current State: 33:[40, 3], Operations: ['62-59=3'] Exploring Operation: 40+59=99, Resulting Numbers: [3, 99] Generated Node #3: [3, 99] from Operation: 40+59=99 Current State: 33:[3, 99], Operations: ['62-59=3', '40+59=99'] Exploring Operation: 99/3=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 17, 33, 90, 12 ]
51
[ "17-12=5", "90/5=18", "33+18=51" ]
Current State: 51:[17, 33, 90, 12], Operations: [] Exploring Operation: 17-12=5, Resulting Numbers: [33, 90, 5] Generated Node #2: [33, 90, 5] from Operation: 17-12=5 Current State: 51:[33, 90, 5], Operations: ['17-12=5'] Exploring Operation: 90/5=18, Resulting Numbers: [33, 18] Generated Node #3: [33, 18] from Operation: 90/5=18 Current State: 51:[33, 18], Operations: ['17-12=5', '90/5=18'] Exploring Operation: 33+18=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 83, 4, 48, 41 ]
68
[ "83+41=124", "4*48=192", "192-124=68" ]
Current State: 68:[83, 4, 48, 41], Operations: [] Exploring Operation: 83+41=124, Resulting Numbers: [4, 48, 124] Generated Node #2: [4, 48, 124] from Operation: 83+41=124 Current State: 68:[4, 48, 124], Operations: ['83+41=124'] Exploring Operation: 4*48=192, Resulting Numbers: [124, 192] Generated Node #3: [124, 192] from Operation: 4*48=192 Current State: 68:[124, 192], Operations: ['83+41=124', '4*48=192'] Exploring Operation: 192-124=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 13, 94, 60, 44 ]
46
[ "60-13=47", "94/47=2", "44+2=46" ]
Current State: 46:[13, 94, 60, 44], Operations: [] Exploring Operation: 60-13=47, Resulting Numbers: [94, 44, 47] Generated Node #2: [94, 44, 47] from Operation: 60-13=47 Current State: 46:[94, 44, 47], Operations: ['60-13=47'] Exploring Operation: 94/47=2, Resulting Numbers: [44, 2] Generated Node #3: [44, 2] from Operation: 94/47=2 Current State: 46:[44, 2], Operations: ['60-13=47', '94/47=2'] Exploring Operation: 44+2=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 57, 86, 21, 67 ]
55
[ "57+86=143", "21+67=88", "143-88=55" ]
Current State: 55:[57, 86, 21, 67], Operations: [] Exploring Operation: 57+86=143, Resulting Numbers: [21, 67, 143] Generated Node #2: [21, 67, 143] from Operation: 57+86=143 Current State: 55:[21, 67, 143], Operations: ['57+86=143'] Exploring Operation: 21+67=88, Resulting Numbers: [143, 88] Generated Node #3: [143, 88] from Operation: 21+67=88 Current State: 55:[143, 88], Operations: ['57+86=143', '21+67=88'] Exploring Operation: 143-88=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 86, 13, 24, 7 ]
68
[ "86+13=99", "24+7=31", "99-31=68" ]
Current State: 68:[86, 13, 24, 7], Operations: [] Exploring Operation: 86+13=99, Resulting Numbers: [24, 7, 99] Generated Node #2: [24, 7, 99] from Operation: 86+13=99 Current State: 68:[24, 7, 99], Operations: ['86+13=99'] Exploring Operation: 24+7=31, Resulting Numbers: [99, 31] Generated Node #3: [99, 31] from Operation: 24+7=31 Current State: 68:[99, 31], Operations: ['86+13=99', '24+7=31'] Exploring Operation: 99-31=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 74, 4, 12, 84 ]
77
[ "74-4=70", "84/12=7", "70+7=77" ]
Current State: 77:[74, 4, 12, 84], Operations: [] Exploring Operation: 74-4=70, Resulting Numbers: [12, 84, 70] Generated Node #2: [12, 84, 70] from Operation: 74-4=70 Current State: 77:[12, 84, 70], Operations: ['74-4=70'] Exploring Operation: 84/12=7, Resulting Numbers: [70, 7] Generated Node #3: [70, 7] from Operation: 84/12=7 Current State: 77:[70, 7], Operations: ['74-4=70', '84/12=7'] Exploring Operation: 70+7=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 88, 44, 61, 96 ]
97
[ "88+44=132", "96-61=35", "132-35=97" ]
Current State: 97:[88, 44, 61, 96], Operations: [] Exploring Operation: 88+44=132, Resulting Numbers: [61, 96, 132] Generated Node #2: [61, 96, 132] from Operation: 88+44=132 Current State: 97:[61, 96, 132], Operations: ['88+44=132'] Exploring Operation: 96-61=35, Resulting Numbers: [132, 35] Generated Node #3: [132, 35] from Operation: 96-61=35 Current State: 97:[132, 35], Operations: ['88+44=132', '96-61=35'] Exploring Operation: 132-35=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 48, 54, 18, 40 ]
37
[ "54-48=6", "18/6=3", "40-3=37" ]
Current State: 37:[48, 54, 18, 40], Operations: [] Exploring Operation: 54-48=6, Resulting Numbers: [18, 40, 6] Generated Node #2: [18, 40, 6] from Operation: 54-48=6 Current State: 37:[18, 40, 6], Operations: ['54-48=6'] Exploring Operation: 18/6=3, Resulting Numbers: [40, 3] Generated Node #3: [40, 3] from Operation: 18/6=3 Current State: 37:[40, 3], Operations: ['54-48=6', '18/6=3'] Exploring Operation: 40-3=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 59, 13, 88, 73 ]
87
[ "59+13=72", "88-73=15", "72+15=87" ]
Current State: 87:[59, 13, 88, 73], Operations: [] Exploring Operation: 59+13=72, Resulting Numbers: [88, 73, 72] Generated Node #2: [88, 73, 72] from Operation: 59+13=72 Current State: 87:[88, 73, 72], Operations: ['59+13=72'] Exploring Operation: 88-73=15, Resulting Numbers: [72, 15] Generated Node #3: [72, 15] from Operation: 88-73=15 Current State: 87:[72, 15], Operations: ['59+13=72', '88-73=15'] Exploring Operation: 72+15=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 42, 28, 22, 76 ]
84
[ "42-28=14", "22+76=98", "98-14=84" ]
Current State: 84:[42, 28, 22, 76], Operations: [] Exploring Operation: 42-28=14, Resulting Numbers: [22, 76, 14] Generated Node #2: [22, 76, 14] from Operation: 42-28=14 Current State: 84:[22, 76, 14], Operations: ['42-28=14'] Exploring Operation: 22+76=98, Resulting Numbers: [14, 98] Generated Node #3: [14, 98] from Operation: 22+76=98 Current State: 84:[14, 98], Operations: ['42-28=14', '22+76=98'] Exploring Operation: 98-14=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 22, 65, 74, 57 ]
13
[ "74-22=52", "57-52=5", "65/5=13" ]
Current State: 13:[22, 65, 74, 57], Operations: [] Exploring Operation: 74-22=52, Resulting Numbers: [65, 57, 52] Generated Node #2: [65, 57, 52] from Operation: 74-22=52 Current State: 13:[65, 57, 52], Operations: ['74-22=52'] Exploring Operation: 57-52=5, Resulting Numbers: [65, 5] Generated Node #3: [65, 5] from Operation: 57-52=5 Current State: 13:[65, 5], Operations: ['74-22=52', '57-52=5'] Exploring Operation: 65/5=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 55, 78, 17, 87 ]
51
[ "78+87=165", "165/55=3", "17*3=51" ]
Current State: 51:[55, 78, 17, 87], Operations: [] Exploring Operation: 78+87=165, Resulting Numbers: [55, 17, 165] Generated Node #2: [55, 17, 165] from Operation: 78+87=165 Current State: 51:[55, 17, 165], Operations: ['78+87=165'] Exploring Operation: 165/55=3, Resulting Numbers: [17, 3] Generated Node #3: [17, 3] from Operation: 165/55=3 Current State: 51:[17, 3], Operations: ['78+87=165', '165/55=3'] Exploring Operation: 17*3=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 14, 6, 85, 57 ]
58
[ "14*6=84", "85+57=142", "142-84=58" ]
Current State: 58:[14, 6, 85, 57], Operations: [] Exploring Operation: 14*6=84, Resulting Numbers: [85, 57, 84] Generated Node #2: [85, 57, 84] from Operation: 14*6=84 Current State: 58:[85, 57, 84], Operations: ['14*6=84'] Exploring Operation: 85+57=142, Resulting Numbers: [84, 142] Generated Node #3: [84, 142] from Operation: 85+57=142 Current State: 58:[84, 142], Operations: ['14*6=84', '85+57=142'] Exploring Operation: 142-84=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 25, 63, 23, 81 ]
16
[ "25+63=88", "23+81=104", "104-88=16" ]
Current State: 16:[25, 63, 23, 81], Operations: [] Exploring Operation: 25+63=88, Resulting Numbers: [23, 81, 88] Generated Node #2: [23, 81, 88] from Operation: 25+63=88 Current State: 16:[23, 81, 88], Operations: ['25+63=88'] Exploring Operation: 23+81=104, Resulting Numbers: [88, 104] Generated Node #3: [88, 104] from Operation: 23+81=104 Current State: 16:[88, 104], Operations: ['25+63=88', '23+81=104'] Exploring Operation: 104-88=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 35, 40, 97, 34 ]
68
[ "40-35=5", "97-34=63", "5+63=68" ]
Current State: 68:[35, 40, 97, 34], Operations: [] Exploring Operation: 40-35=5, Resulting Numbers: [97, 34, 5] Generated Node #2: [97, 34, 5] from Operation: 40-35=5 Current State: 68:[97, 34, 5], Operations: ['40-35=5'] Exploring Operation: 97-34=63, Resulting Numbers: [5, 63] Generated Node #3: [5, 63] from Operation: 97-34=63 Current State: 68:[5, 63], Operations: ['40-35=5', '97-34=63'] Exploring Operation: 5+63=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 18, 23, 60, 10 ]
69
[ "18*23=414", "60/10=6", "414/6=69" ]
Current State: 69:[18, 23, 60, 10], Operations: [] Exploring Operation: 18*23=414, Resulting Numbers: [60, 10, 414] Generated Node #2: [60, 10, 414] from Operation: 18*23=414 Current State: 69:[60, 10, 414], Operations: ['18*23=414'] Exploring Operation: 60/10=6, Resulting Numbers: [414, 6] Generated Node #3: [414, 6] from Operation: 60/10=6 Current State: 69:[414, 6], Operations: ['18*23=414', '60/10=6'] Exploring Operation: 414/6=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 15, 69, 9, 7 ]
100
[ "15+69=84", "9+7=16", "84+16=100" ]
Current State: 100:[15, 69, 9, 7], Operations: [] Exploring Operation: 15+69=84, Resulting Numbers: [9, 7, 84] Generated Node #2: [9, 7, 84] from Operation: 15+69=84 Current State: 100:[9, 7, 84], Operations: ['15+69=84'] Exploring Operation: 9+7=16, Resulting Numbers: [84, 16] Generated Node #3: [84, 16] from Operation: 9+7=16 Current State: 100:[84, 16], Operations: ['15+69=84', '9+7=16'] Exploring Operation: 84+16=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 11, 8, 89, 59 ]
10
[ "11-8=3", "89-59=30", "30/3=10" ]
Current State: 10:[11, 8, 89, 59], Operations: [] Exploring Operation: 11-8=3, Resulting Numbers: [89, 59, 3] Generated Node #2: [89, 59, 3] from Operation: 11-8=3 Current State: 10:[89, 59, 3], Operations: ['11-8=3'] Exploring Operation: 89-59=30, Resulting Numbers: [3, 30] Generated Node #3: [3, 30] from Operation: 89-59=30 Current State: 10:[3, 30], Operations: ['11-8=3', '89-59=30'] Exploring Operation: 30/3=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 50, 80, 23, 95 ]
30
[ "80-23=57", "50*57=2850", "2850/95=30" ]
Current State: 30:[50, 80, 23, 95], Operations: [] Exploring Operation: 80-23=57, Resulting Numbers: [50, 95, 57] Generated Node #2: [50, 95, 57] from Operation: 80-23=57 Current State: 30:[50, 95, 57], Operations: ['80-23=57'] Exploring Operation: 50*57=2850, Resulting Numbers: [95, 2850] Generated Node #3: [95, 2850] from Operation: 50*57=2850 Current State: 30:[95, 2850], Operations: ['80-23=57', '50*57=2850'] Exploring Operation: 2850/95=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 25, 60, 10, 40 ]
30
[ "25*60=1500", "10+40=50", "1500/50=30" ]
Current State: 30:[25, 60, 10, 40], Operations: [] Exploring Operation: 25*60=1500, Resulting Numbers: [10, 40, 1500] Generated Node #2: [10, 40, 1500] from Operation: 25*60=1500 Current State: 30:[10, 40, 1500], Operations: ['25*60=1500'] Exploring Operation: 10+40=50, Resulting Numbers: [1500, 50] Generated Node #3: [1500, 50] from Operation: 10+40=50 Current State: 30:[1500, 50], Operations: ['25*60=1500', '10+40=50'] Exploring Operation: 1500/50=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 54, 76, 93, 16 ]
91
[ "54-16=38", "76/38=2", "93-2=91" ]
Current State: 91:[54, 76, 93, 16], Operations: [] Exploring Operation: 54-16=38, Resulting Numbers: [76, 93, 38] Generated Node #2: [76, 93, 38] from Operation: 54-16=38 Current State: 91:[76, 93, 38], Operations: ['54-16=38'] Exploring Operation: 76/38=2, Resulting Numbers: [93, 2] Generated Node #3: [93, 2] from Operation: 76/38=2 Current State: 91:[93, 2], Operations: ['54-16=38', '76/38=2'] Exploring Operation: 93-2=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 39, 94, 39, 58 ]
94
[ "39-39=0", "58*0=0", "94+0=94" ]
Current State: 94:[39, 94, 39, 58], Operations: [] Exploring Operation: 39-39=0, Resulting Numbers: [94, 58, 0] Generated Node #2: [94, 58, 0] from Operation: 39-39=0 Current State: 94:[94, 58, 0], Operations: ['39-39=0'] Exploring Operation: 58*0=0, Resulting Numbers: [94, 0] Generated Node #3: [94, 0] from Operation: 58*0=0 Current State: 94:[94, 0], Operations: ['39-39=0', '58*0=0'] Exploring Operation: 94+0=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 24, 25, 75, 36 ]
39
[ "25-24=1", "75-36=39", "1*39=39" ]
Current State: 39:[24, 25, 75, 36], Operations: [] Exploring Operation: 25-24=1, Resulting Numbers: [75, 36, 1] Generated Node #2: [75, 36, 1] from Operation: 25-24=1 Current State: 39:[75, 36, 1], Operations: ['25-24=1'] Exploring Operation: 75-36=39, Resulting Numbers: [1, 39] Generated Node #3: [1, 39] from Operation: 75-36=39 Current State: 39:[1, 39], Operations: ['25-24=1', '75-36=39'] Exploring Operation: 1*39=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 19, 28, 19, 31 ]
31
[ "19-19=0", "28*0=0", "31+0=31" ]
Current State: 31:[19, 28, 19, 31], Operations: [] Exploring Operation: 19-19=0, Resulting Numbers: [28, 31, 0] Generated Node #2: [28, 31, 0] from Operation: 19-19=0 Current State: 31:[28, 31, 0], Operations: ['19-19=0'] Exploring Operation: 28*0=0, Resulting Numbers: [31, 0] Generated Node #3: [31, 0] from Operation: 28*0=0 Current State: 31:[31, 0], Operations: ['19-19=0', '28*0=0'] Exploring Operation: 31+0=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 94, 43, 7, 66 ]
29
[ "94+43=137", "66+137=203", "203/7=29" ]
Current State: 29:[94, 43, 7, 66], Operations: [] Exploring Operation: 94+43=137, Resulting Numbers: [7, 66, 137] Generated Node #2: [7, 66, 137] from Operation: 94+43=137 Current State: 29:[7, 66, 137], Operations: ['94+43=137'] Exploring Operation: 66+137=203, Resulting Numbers: [7, 203] Generated Node #3: [7, 203] from Operation: 66+137=203 Current State: 29:[7, 203], Operations: ['94+43=137', '66+137=203'] Exploring Operation: 203/7=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 22, 38, 2, 68 ]
82
[ "38-22=16", "68-2=66", "16+66=82" ]
Current State: 82:[22, 38, 2, 68], Operations: [] Exploring Operation: 38-22=16, Resulting Numbers: [2, 68, 16] Generated Node #2: [2, 68, 16] from Operation: 38-22=16 Current State: 82:[2, 68, 16], Operations: ['38-22=16'] Exploring Operation: 68-2=66, Resulting Numbers: [16, 66] Generated Node #3: [16, 66] from Operation: 68-2=66 Current State: 82:[16, 66], Operations: ['38-22=16', '68-2=66'] Exploring Operation: 16+66=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 4, 14, 72, 48 ]
82
[ "72-48=24", "4*24=96", "96-14=82" ]
Current State: 82:[4, 14, 72, 48], Operations: [] Exploring Operation: 72-48=24, Resulting Numbers: [4, 14, 24] Generated Node #2: [4, 14, 24] from Operation: 72-48=24 Current State: 82:[4, 14, 24], Operations: ['72-48=24'] Exploring Operation: 4*24=96, Resulting Numbers: [14, 96] Generated Node #3: [14, 96] from Operation: 4*24=96 Current State: 82:[14, 96], Operations: ['72-48=24', '4*24=96'] Exploring Operation: 96-14=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 6, 16, 69, 65 ]
100
[ "6*16=96", "69-65=4", "96+4=100" ]
Current State: 100:[6, 16, 69, 65], Operations: [] Exploring Operation: 6*16=96, Resulting Numbers: [69, 65, 96] Generated Node #2: [69, 65, 96] from Operation: 6*16=96 Current State: 100:[69, 65, 96], Operations: ['6*16=96'] Exploring Operation: 69-65=4, Resulting Numbers: [96, 4] Generated Node #3: [96, 4] from Operation: 69-65=4 Current State: 100:[96, 4], Operations: ['6*16=96', '69-65=4'] Exploring Operation: 96+4=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 40, 48, 97, 95 ]
28
[ "97-95=2", "40/2=20", "48-20=28" ]
Current State: 28:[40, 48, 97, 95], Operations: [] Exploring Operation: 97-95=2, Resulting Numbers: [40, 48, 2] Generated Node #2: [40, 48, 2] from Operation: 97-95=2 Current State: 28:[40, 48, 2], Operations: ['97-95=2'] Exploring Operation: 40/2=20, Resulting Numbers: [48, 20] Generated Node #3: [48, 20] from Operation: 40/2=20 Current State: 28:[48, 20], Operations: ['97-95=2', '40/2=20'] Exploring Operation: 48-20=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 10, 55, 65, 26 ]
18
[ "55-10=45", "26*45=1170", "1170/65=18" ]
Current State: 18:[10, 55, 65, 26], Operations: [] Exploring Operation: 55-10=45, Resulting Numbers: [65, 26, 45] Generated Node #2: [65, 26, 45] from Operation: 55-10=45 Current State: 18:[65, 26, 45], Operations: ['55-10=45'] Exploring Operation: 26*45=1170, Resulting Numbers: [65, 1170] Generated Node #3: [65, 1170] from Operation: 26*45=1170 Current State: 18:[65, 1170], Operations: ['55-10=45', '26*45=1170'] Exploring Operation: 1170/65=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 47, 14, 50, 2 ]
21
[ "50-47=3", "14/2=7", "3*7=21" ]
Current State: 21:[47, 14, 50, 2], Operations: [] Exploring Operation: 50-47=3, Resulting Numbers: [14, 2, 3] Generated Node #2: [14, 2, 3] from Operation: 50-47=3 Current State: 21:[14, 2, 3], Operations: ['50-47=3'] Exploring Operation: 14/2=7, Resulting Numbers: [3, 7] Generated Node #3: [3, 7] from Operation: 14/2=7 Current State: 21:[3, 7], Operations: ['50-47=3', '14/2=7'] Exploring Operation: 3*7=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 98, 6, 26, 27 ]
38
[ "98+26=124", "6*27=162", "162-124=38" ]
Current State: 38:[98, 6, 26, 27], Operations: [] Exploring Operation: 98+26=124, Resulting Numbers: [6, 27, 124] Generated Node #2: [6, 27, 124] from Operation: 98+26=124 Current State: 38:[6, 27, 124], Operations: ['98+26=124'] Exploring Operation: 6*27=162, Resulting Numbers: [124, 162] Generated Node #3: [124, 162] from Operation: 6*27=162 Current State: 38:[124, 162], Operations: ['98+26=124', '6*27=162'] Exploring Operation: 162-124=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 50, 68, 9, 72 ]
45
[ "68-50=18", "72-9=63", "63-18=45" ]
Current State: 45:[50, 68, 9, 72], Operations: [] Exploring Operation: 68-50=18, Resulting Numbers: [9, 72, 18] Generated Node #2: [9, 72, 18] from Operation: 68-50=18 Current State: 45:[9, 72, 18], Operations: ['68-50=18'] Exploring Operation: 72-9=63, Resulting Numbers: [18, 63] Generated Node #3: [18, 63] from Operation: 72-9=63 Current State: 45:[18, 63], Operations: ['68-50=18', '72-9=63'] Exploring Operation: 63-18=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4