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
[ 52, 71, 74, 48 ]
73
[ "74-48=26", "52/26=2", "71+2=73" ]
Current State: 73:[52, 71, 74, 48], Operations: [] Exploring Operation: 74-48=26, Resulting Numbers: [52, 71, 26] Generated Node #2: [52, 71, 26] from Operation: 74-48=26 Current State: 73:[52, 71, 26], Operations: ['74-48=26'] Exploring Operation: 52/26=2, Resulting Numbers: [71, 2] Generated Node #3: [71, 2] from Operation: 52/26=2 Current State: 73:[71, 2], Operations: ['74-48=26', '52/26=2'] Exploring Operation: 71+2=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 27, 9, 26, 77 ]
69
[ "27-9=18", "77-26=51", "18+51=69" ]
Current State: 69:[27, 9, 26, 77], Operations: [] Exploring Operation: 27-9=18, Resulting Numbers: [26, 77, 18] Generated Node #2: [26, 77, 18] from Operation: 27-9=18 Current State: 69:[26, 77, 18], Operations: ['27-9=18'] Exploring Operation: 77-26=51, Resulting Numbers: [18, 51] Generated Node #3: [18, 51] from Operation: 77-26=51 Current State: 69:[18, 51], Operations: ['27-9=18', '77-26=51'] Exploring Operation: 18+51=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 10, 33, 12, 5 ]
29
[ "10*5=50", "33-12=21", "50-21=29" ]
Current State: 29:[10, 33, 12, 5], Operations: [] Exploring Operation: 10*5=50, Resulting Numbers: [33, 12, 50] Generated Node #2: [33, 12, 50] from Operation: 10*5=50 Current State: 29:[33, 12, 50], Operations: ['10*5=50'] Exploring Operation: 33-12=21, Resulting Numbers: [50, 21] Generated Node #3: [50, 21] from Operation: 33-12=21 Current State: 29:[50, 21], Operations: ['10*5=50', '33-12=21'] Exploring Operation: 50-21=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 49, 47, 1, 72 ]
74
[ "49-47=2", "1*72=72", "2+72=74" ]
Current State: 74:[49, 47, 1, 72], Operations: [] Exploring Operation: 49-47=2, Resulting Numbers: [1, 72, 2] Generated Node #2: [1, 72, 2] from Operation: 49-47=2 Current State: 74:[1, 72, 2], Operations: ['49-47=2'] Exploring Operation: 1*72=72, Resulting Numbers: [2, 72] Generated Node #3: [2, 72] from Operation: 1*72=72 Current State: 74:[2, 72], Operations: ['49-47=2', '1*72=72'] Exploring Operation: 2+72=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 37, 99, 32, 93 ]
43
[ "99+93=192", "192/32=6", "37+6=43" ]
Current State: 43:[37, 99, 32, 93], Operations: [] Exploring Operation: 99+93=192, Resulting Numbers: [37, 32, 192] Generated Node #2: [37, 32, 192] from Operation: 99+93=192 Current State: 43:[37, 32, 192], Operations: ['99+93=192'] Exploring Operation: 192/32=6, Resulting Numbers: [37, 6] Generated Node #3: [37, 6] from Operation: 192/32=6 Current State: 43:[37, 6], Operations: ['99+93=192', '192/32=6'] Exploring Operation: 37+6=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 40, 69, 11, 67 ]
65
[ "69+11=80", "80/40=2", "67-2=65" ]
Current State: 65:[40, 69, 11, 67], Operations: [] Exploring Operation: 69+11=80, Resulting Numbers: [40, 67, 80] Generated Node #2: [40, 67, 80] from Operation: 69+11=80 Current State: 65:[40, 67, 80], Operations: ['69+11=80'] Exploring Operation: 80/40=2, Resulting Numbers: [67, 2] Generated Node #3: [67, 2] from Operation: 80/40=2 Current State: 65:[67, 2], Operations: ['69+11=80', '80/40=2'] Exploring Operation: 67-2=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 25, 47, 32, 90 ]
31
[ "47-32=15", "90/15=6", "25+6=31" ]
Current State: 31:[25, 47, 32, 90], Operations: [] Exploring Operation: 47-32=15, Resulting Numbers: [25, 90, 15] Generated Node #2: [25, 90, 15] from Operation: 47-32=15 Current State: 31:[25, 90, 15], Operations: ['47-32=15'] Exploring Operation: 90/15=6, Resulting Numbers: [25, 6] Generated Node #3: [25, 6] from Operation: 90/15=6 Current State: 31:[25, 6], Operations: ['47-32=15', '90/15=6'] Exploring Operation: 25+6=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 87, 9, 10, 53 ]
56
[ "87-53=34", "9*10=90", "90-34=56" ]
Current State: 56:[87, 9, 10, 53], Operations: [] Exploring Operation: 87-53=34, Resulting Numbers: [9, 10, 34] Generated Node #2: [9, 10, 34] from Operation: 87-53=34 Current State: 56:[9, 10, 34], Operations: ['87-53=34'] Exploring Operation: 9*10=90, Resulting Numbers: [34, 90] Generated Node #3: [34, 90] from Operation: 9*10=90 Current State: 56:[34, 90], Operations: ['87-53=34', '9*10=90'] Exploring Operation: 90-34=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 62, 12, 93, 14 ]
39
[ "12+14=26", "93*26=2418", "2418/62=39" ]
Current State: 39:[62, 12, 93, 14], Operations: [] Exploring Operation: 12+14=26, Resulting Numbers: [62, 93, 26] Generated Node #2: [62, 93, 26] from Operation: 12+14=26 Current State: 39:[62, 93, 26], Operations: ['12+14=26'] Exploring Operation: 93*26=2418, Resulting Numbers: [62, 2418] Generated Node #3: [62, 2418] from Operation: 93*26=2418 Current State: 39:[62, 2418], Operations: ['12+14=26', '93*26=2418'] Exploring Operation: 2418/62=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 2, 55, 84, 75 ]
62
[ "55-2=53", "84-75=9", "53+9=62" ]
Current State: 62:[2, 55, 84, 75], Operations: [] Exploring Operation: 55-2=53, Resulting Numbers: [84, 75, 53] Generated Node #2: [84, 75, 53] from Operation: 55-2=53 Current State: 62:[84, 75, 53], Operations: ['55-2=53'] Exploring Operation: 84-75=9, Resulting Numbers: [53, 9] Generated Node #3: [53, 9] from Operation: 84-75=9 Current State: 62:[53, 9], Operations: ['55-2=53', '84-75=9'] Exploring Operation: 53+9=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 2, 69, 34, 69 ]
37
[ "2+34=36", "69/69=1", "36+1=37" ]
Current State: 37:[2, 69, 34, 69], Operations: [] Exploring Operation: 2+34=36, Resulting Numbers: [69, 69, 36] Generated Node #2: [69, 69, 36] from Operation: 2+34=36 Current State: 37:[69, 69, 36], Operations: ['2+34=36'] Exploring Operation: 69/69=1, Resulting Numbers: [36, 1] Generated Node #3: [36, 1] from Operation: 69/69=1 Current State: 37:[36, 1], Operations: ['2+34=36', '69/69=1'] Exploring Operation: 36+1=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 48, 28, 16, 4 ]
88
[ "48+28=76", "16-4=12", "76+12=88" ]
Current State: 88:[48, 28, 16, 4], Operations: [] Exploring Operation: 48+28=76, Resulting Numbers: [16, 4, 76] Generated Node #2: [16, 4, 76] from Operation: 48+28=76 Current State: 88:[16, 4, 76], Operations: ['48+28=76'] Exploring Operation: 16-4=12, Resulting Numbers: [76, 12] Generated Node #3: [76, 12] from Operation: 16-4=12 Current State: 88:[76, 12], Operations: ['48+28=76', '16-4=12'] Exploring Operation: 76+12=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 24, 38, 50, 28 ]
76
[ "50-24=26", "28-26=2", "38*2=76" ]
Current State: 76:[24, 38, 50, 28], Operations: [] Exploring Operation: 50-24=26, Resulting Numbers: [38, 28, 26] Generated Node #2: [38, 28, 26] from Operation: 50-24=26 Current State: 76:[38, 28, 26], Operations: ['50-24=26'] Exploring Operation: 28-26=2, Resulting Numbers: [38, 2] Generated Node #3: [38, 2] from Operation: 28-26=2 Current State: 76:[38, 2], Operations: ['50-24=26', '28-26=2'] Exploring Operation: 38*2=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 20, 10, 70, 39 ]
44
[ "70-20=50", "50/10=5", "39+5=44" ]
Current State: 44:[20, 10, 70, 39], Operations: [] Exploring Operation: 70-20=50, Resulting Numbers: [10, 39, 50] Generated Node #2: [10, 39, 50] from Operation: 70-20=50 Current State: 44:[10, 39, 50], Operations: ['70-20=50'] Exploring Operation: 50/10=5, Resulting Numbers: [39, 5] Generated Node #3: [39, 5] from Operation: 50/10=5 Current State: 44:[39, 5], Operations: ['70-20=50', '50/10=5'] Exploring Operation: 39+5=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 92, 91, 42, 93 ]
21
[ "92*42=3864", "91+93=184", "3864/184=21" ]
Current State: 21:[92, 91, 42, 93], Operations: [] Exploring Operation: 92*42=3864, Resulting Numbers: [91, 93, 3864] Generated Node #2: [91, 93, 3864] from Operation: 92*42=3864 Current State: 21:[91, 93, 3864], Operations: ['92*42=3864'] Exploring Operation: 91+93=184, Resulting Numbers: [3864, 184] Generated Node #3: [3864, 184] from Operation: 91+93=184 Current State: 21:[3864, 184], Operations: ['92*42=3864', '91+93=184'] Exploring Operation: 3864/184=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 44, 49, 89, 38 ]
56
[ "49-44=5", "89-38=51", "5+51=56" ]
Current State: 56:[44, 49, 89, 38], Operations: [] Exploring Operation: 49-44=5, Resulting Numbers: [89, 38, 5] Generated Node #2: [89, 38, 5] from Operation: 49-44=5 Current State: 56:[89, 38, 5], Operations: ['49-44=5'] Exploring Operation: 89-38=51, Resulting Numbers: [5, 51] Generated Node #3: [5, 51] from Operation: 89-38=51 Current State: 56:[5, 51], Operations: ['49-44=5', '89-38=51'] Exploring Operation: 5+51=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 68, 54, 84, 45 ]
51
[ "68-54=14", "84/14=6", "45+6=51" ]
Current State: 51:[68, 54, 84, 45], Operations: [] Exploring Operation: 68-54=14, Resulting Numbers: [84, 45, 14] Generated Node #2: [84, 45, 14] from Operation: 68-54=14 Current State: 51:[84, 45, 14], Operations: ['68-54=14'] Exploring Operation: 84/14=6, Resulting Numbers: [45, 6] Generated Node #3: [45, 6] from Operation: 84/14=6 Current State: 51:[45, 6], Operations: ['68-54=14', '84/14=6'] Exploring Operation: 45+6=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 67, 61, 12, 8 ]
90
[ "67-61=6", "12*8=96", "96-6=90" ]
Current State: 90:[67, 61, 12, 8], Operations: [] Exploring Operation: 67-61=6, Resulting Numbers: [12, 8, 6] Generated Node #2: [12, 8, 6] from Operation: 67-61=6 Current State: 90:[12, 8, 6], Operations: ['67-61=6'] Exploring Operation: 12*8=96, Resulting Numbers: [6, 96] Generated Node #3: [6, 96] from Operation: 12*8=96 Current State: 90:[6, 96], Operations: ['67-61=6', '12*8=96'] Exploring Operation: 96-6=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 37, 39, 84, 91 ]
83
[ "37+39=76", "91-84=7", "76+7=83" ]
Current State: 83:[37, 39, 84, 91], Operations: [] Exploring Operation: 37+39=76, Resulting Numbers: [84, 91, 76] Generated Node #2: [84, 91, 76] from Operation: 37+39=76 Current State: 83:[84, 91, 76], Operations: ['37+39=76'] Exploring Operation: 91-84=7, Resulting Numbers: [76, 7] Generated Node #3: [76, 7] from Operation: 91-84=7 Current State: 83:[76, 7], Operations: ['37+39=76', '91-84=7'] Exploring Operation: 76+7=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 80, 11, 19, 37 ]
28
[ "80+19=99", "99/11=9", "37-9=28" ]
Current State: 28:[80, 11, 19, 37], Operations: [] Exploring Operation: 80+19=99, Resulting Numbers: [11, 37, 99] Generated Node #2: [11, 37, 99] from Operation: 80+19=99 Current State: 28:[11, 37, 99], Operations: ['80+19=99'] Exploring Operation: 99/11=9, Resulting Numbers: [37, 9] Generated Node #3: [37, 9] from Operation: 99/11=9 Current State: 28:[37, 9], Operations: ['80+19=99', '99/11=9'] Exploring Operation: 37-9=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 90, 35, 87, 76 ]
44
[ "90-35=55", "87-76=11", "55-11=44" ]
Current State: 44:[90, 35, 87, 76], Operations: [] Exploring Operation: 90-35=55, Resulting Numbers: [87, 76, 55] Generated Node #2: [87, 76, 55] from Operation: 90-35=55 Current State: 44:[87, 76, 55], Operations: ['90-35=55'] Exploring Operation: 87-76=11, Resulting Numbers: [55, 11] Generated Node #3: [55, 11] from Operation: 87-76=11 Current State: 44:[55, 11], Operations: ['90-35=55', '87-76=11'] Exploring Operation: 55-11=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 41, 28, 2, 60 ]
87
[ "41+60=101", "28/2=14", "101-14=87" ]
Current State: 87:[41, 28, 2, 60], Operations: [] Exploring Operation: 41+60=101, Resulting Numbers: [28, 2, 101] Generated Node #2: [28, 2, 101] from Operation: 41+60=101 Current State: 87:[28, 2, 101], Operations: ['41+60=101'] Exploring Operation: 28/2=14, Resulting Numbers: [101, 14] Generated Node #3: [101, 14] from Operation: 28/2=14 Current State: 87:[101, 14], Operations: ['41+60=101', '28/2=14'] Exploring Operation: 101-14=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 42, 67, 24, 49 ]
84
[ "42+67=109", "49-24=25", "109-25=84" ]
Current State: 84:[42, 67, 24, 49], Operations: [] Exploring Operation: 42+67=109, Resulting Numbers: [24, 49, 109] Generated Node #2: [24, 49, 109] from Operation: 42+67=109 Current State: 84:[24, 49, 109], Operations: ['42+67=109'] Exploring Operation: 49-24=25, Resulting Numbers: [109, 25] Generated Node #3: [109, 25] from Operation: 49-24=25 Current State: 84:[109, 25], Operations: ['42+67=109', '49-24=25'] Exploring Operation: 109-25=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 9, 49, 70, 49 ]
62
[ "70-9=61", "49/49=1", "61+1=62" ]
Current State: 62:[9, 49, 70, 49], Operations: [] Exploring Operation: 70-9=61, Resulting Numbers: [49, 49, 61] Generated Node #2: [49, 49, 61] from Operation: 70-9=61 Current State: 62:[49, 49, 61], Operations: ['70-9=61'] Exploring Operation: 49/49=1, Resulting Numbers: [61, 1] Generated Node #3: [61, 1] from Operation: 49/49=1 Current State: 62:[61, 1], Operations: ['70-9=61', '49/49=1'] Exploring Operation: 61+1=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 72, 2, 65, 81 ]
25
[ "72+65=137", "2*81=162", "162-137=25" ]
Current State: 25:[72, 2, 65, 81], Operations: [] Exploring Operation: 72+65=137, Resulting Numbers: [2, 81, 137] Generated Node #2: [2, 81, 137] from Operation: 72+65=137 Current State: 25:[2, 81, 137], Operations: ['72+65=137'] Exploring Operation: 2*81=162, Resulting Numbers: [137, 162] Generated Node #3: [137, 162] from Operation: 2*81=162 Current State: 25:[137, 162], Operations: ['72+65=137', '2*81=162'] Exploring Operation: 162-137=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 37, 52, 53, 47 ]
85
[ "52-37=15", "53+47=100", "100-15=85" ]
Current State: 85:[37, 52, 53, 47], Operations: [] Exploring Operation: 52-37=15, Resulting Numbers: [53, 47, 15] Generated Node #2: [53, 47, 15] from Operation: 52-37=15 Current State: 85:[53, 47, 15], Operations: ['52-37=15'] Exploring Operation: 53+47=100, Resulting Numbers: [15, 100] Generated Node #3: [15, 100] from Operation: 53+47=100 Current State: 85:[15, 100], Operations: ['52-37=15', '53+47=100'] Exploring Operation: 100-15=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 4, 88, 18, 91 ]
58
[ "91-88=3", "18*3=54", "4+54=58" ]
Current State: 58:[4, 88, 18, 91], Operations: [] Exploring Operation: 91-88=3, Resulting Numbers: [4, 18, 3] Generated Node #2: [4, 18, 3] from Operation: 91-88=3 Current State: 58:[4, 18, 3], Operations: ['91-88=3'] Exploring Operation: 18*3=54, Resulting Numbers: [4, 54] Generated Node #3: [4, 54] from Operation: 18*3=54 Current State: 58:[4, 54], Operations: ['91-88=3', '18*3=54'] Exploring Operation: 4+54=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 20, 6, 84, 40 ]
21
[ "40/20=2", "6-2=4", "84/4=21" ]
Current State: 21:[20, 6, 84, 40], Operations: [] Exploring Operation: 40/20=2, Resulting Numbers: [6, 84, 2] Generated Node #2: [6, 84, 2] from Operation: 40/20=2 Current State: 21:[6, 84, 2], Operations: ['40/20=2'] Exploring Operation: 6-2=4, Resulting Numbers: [84, 4] Generated Node #3: [84, 4] from Operation: 6-2=4 Current State: 21:[84, 4], Operations: ['40/20=2', '6-2=4'] Exploring Operation: 84/4=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 54, 44, 14, 43 ]
69
[ "54+44=98", "43-14=29", "98-29=69" ]
Current State: 69:[54, 44, 14, 43], Operations: [] Exploring Operation: 54+44=98, Resulting Numbers: [14, 43, 98] Generated Node #2: [14, 43, 98] from Operation: 54+44=98 Current State: 69:[14, 43, 98], Operations: ['54+44=98'] Exploring Operation: 43-14=29, Resulting Numbers: [98, 29] Generated Node #3: [98, 29] from Operation: 43-14=29 Current State: 69:[98, 29], Operations: ['54+44=98', '43-14=29'] Exploring Operation: 98-29=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 53, 16, 25, 74 ]
62
[ "53-16=37", "25+74=99", "99-37=62" ]
Current State: 62:[53, 16, 25, 74], Operations: [] Exploring Operation: 53-16=37, Resulting Numbers: [25, 74, 37] Generated Node #2: [25, 74, 37] from Operation: 53-16=37 Current State: 62:[25, 74, 37], Operations: ['53-16=37'] Exploring Operation: 25+74=99, Resulting Numbers: [37, 99] Generated Node #3: [37, 99] from Operation: 25+74=99 Current State: 62:[37, 99], Operations: ['53-16=37', '25+74=99'] Exploring Operation: 99-37=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 92, 28, 22, 18 ]
11
[ "28+18=46", "92/46=2", "22/2=11" ]
Current State: 11:[92, 28, 22, 18], Operations: [] Exploring Operation: 28+18=46, Resulting Numbers: [92, 22, 46] Generated Node #2: [92, 22, 46] from Operation: 28+18=46 Current State: 11:[92, 22, 46], Operations: ['28+18=46'] Exploring Operation: 92/46=2, Resulting Numbers: [22, 2] Generated Node #3: [22, 2] from Operation: 92/46=2 Current State: 11:[22, 2], Operations: ['28+18=46', '92/46=2'] Exploring Operation: 22/2=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 6, 8, 74, 71 ]
97
[ "6*8=48", "74+71=145", "145-48=97" ]
Current State: 97:[6, 8, 74, 71], Operations: [] Exploring Operation: 6*8=48, Resulting Numbers: [74, 71, 48] Generated Node #2: [74, 71, 48] from Operation: 6*8=48 Current State: 97:[74, 71, 48], Operations: ['6*8=48'] Exploring Operation: 74+71=145, Resulting Numbers: [48, 145] Generated Node #3: [48, 145] from Operation: 74+71=145 Current State: 97:[48, 145], Operations: ['6*8=48', '74+71=145'] Exploring Operation: 145-48=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 9, 29, 81, 14 ]
64
[ "14-9=5", "29*5=145", "145-81=64" ]
Current State: 64:[9, 29, 81, 14], Operations: [] Exploring Operation: 14-9=5, Resulting Numbers: [29, 81, 5] Generated Node #2: [29, 81, 5] from Operation: 14-9=5 Current State: 64:[29, 81, 5], Operations: ['14-9=5'] Exploring Operation: 29*5=145, Resulting Numbers: [81, 145] Generated Node #3: [81, 145] from Operation: 29*5=145 Current State: 64:[81, 145], Operations: ['14-9=5', '29*5=145'] Exploring Operation: 145-81=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 47, 86, 76, 90 ]
53
[ "86-47=39", "90-76=14", "39+14=53" ]
Current State: 53:[47, 86, 76, 90], Operations: [] Exploring Operation: 86-47=39, Resulting Numbers: [76, 90, 39] Generated Node #2: [76, 90, 39] from Operation: 86-47=39 Current State: 53:[76, 90, 39], Operations: ['86-47=39'] Exploring Operation: 90-76=14, Resulting Numbers: [39, 14] Generated Node #3: [39, 14] from Operation: 90-76=14 Current State: 53:[39, 14], Operations: ['86-47=39', '90-76=14'] Exploring Operation: 39+14=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 44, 5, 26, 30 ]
53
[ "44+5=49", "30-26=4", "49+4=53" ]
Current State: 53:[44, 5, 26, 30], Operations: [] Exploring Operation: 44+5=49, Resulting Numbers: [26, 30, 49] Generated Node #2: [26, 30, 49] from Operation: 44+5=49 Current State: 53:[26, 30, 49], Operations: ['44+5=49'] Exploring Operation: 30-26=4, Resulting Numbers: [49, 4] Generated Node #3: [49, 4] from Operation: 30-26=4 Current State: 53:[49, 4], Operations: ['44+5=49', '30-26=4'] Exploring Operation: 49+4=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 23, 49, 6, 2 ]
15
[ "23-6=17", "2*17=34", "49-34=15" ]
Current State: 15:[23, 49, 6, 2], Operations: [] Exploring Operation: 23-6=17, Resulting Numbers: [49, 2, 17] Generated Node #2: [49, 2, 17] from Operation: 23-6=17 Current State: 15:[49, 2, 17], Operations: ['23-6=17'] Exploring Operation: 2*17=34, Resulting Numbers: [49, 34] Generated Node #3: [49, 34] from Operation: 2*17=34 Current State: 15:[49, 34], Operations: ['23-6=17', '2*17=34'] Exploring Operation: 49-34=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 32, 85, 81, 77 ]
30
[ "85+77=162", "162/81=2", "32-2=30" ]
Current State: 30:[32, 85, 81, 77], Operations: [] Exploring Operation: 85+77=162, Resulting Numbers: [32, 81, 162] Generated Node #2: [32, 81, 162] from Operation: 85+77=162 Current State: 30:[32, 81, 162], Operations: ['85+77=162'] Exploring Operation: 162/81=2, Resulting Numbers: [32, 2] Generated Node #3: [32, 2] from Operation: 162/81=2 Current State: 30:[32, 2], Operations: ['85+77=162', '162/81=2'] Exploring Operation: 32-2=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 87, 21, 7, 70 ]
14
[ "87-70=17", "21/7=3", "17-3=14" ]
Current State: 14:[87, 21, 7, 70], Operations: [] Exploring Operation: 87-70=17, Resulting Numbers: [21, 7, 17] Generated Node #2: [21, 7, 17] from Operation: 87-70=17 Current State: 14:[21, 7, 17], Operations: ['87-70=17'] Exploring Operation: 21/7=3, Resulting Numbers: [17, 3] Generated Node #3: [17, 3] from Operation: 21/7=3 Current State: 14:[17, 3], Operations: ['87-70=17', '21/7=3'] Exploring Operation: 17-3=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 52, 78, 26, 42 ]
94
[ "78-52=26", "26+42=68", "26+68=94" ]
Current State: 94:[52, 78, 26, 42], Operations: [] Exploring Operation: 78-52=26, Resulting Numbers: [26, 42, 26] Generated Node #2: [26, 42, 26] from Operation: 78-52=26 Current State: 94:[26, 42, 26], Operations: ['78-52=26'] Exploring Operation: 26+42=68, Resulting Numbers: [68] 68,94 equal: Goal Reached Exploring Operation: 26+68=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 29, 6, 12, 25 ]
54
[ "29-25=4", "12*4=48", "6+48=54" ]
Current State: 54:[29, 6, 12, 25], Operations: [] Exploring Operation: 29-25=4, Resulting Numbers: [6, 12, 4] Generated Node #2: [6, 12, 4] from Operation: 29-25=4 Current State: 54:[6, 12, 4], Operations: ['29-25=4'] Exploring Operation: 12*4=48, Resulting Numbers: [6, 48] Generated Node #3: [6, 48] from Operation: 12*4=48 Current State: 54:[6, 48], Operations: ['29-25=4', '12*4=48'] Exploring Operation: 6+48=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 12, 24, 7, 86 ]
12
[ "24/12=2", "86-2=84", "84/7=12" ]
Current State: 12:[12, 24, 7, 86], Operations: [] Exploring Operation: 24/12=2, Resulting Numbers: [7, 86, 2] Generated Node #2: [7, 86, 2] from Operation: 24/12=2 Current State: 12:[7, 86, 2], Operations: ['24/12=2'] Exploring Operation: 86-2=84, Resulting Numbers: [7, 84] Generated Node #3: [7, 84] from Operation: 86-2=84 Current State: 12:[7, 84], Operations: ['24/12=2', '86-2=84'] Exploring Operation: 84/7=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 74, 68, 4, 81 ]
79
[ "74-68=6", "4+81=85", "85-6=79" ]
Current State: 79:[74, 68, 4, 81], Operations: [] Exploring Operation: 74-68=6, Resulting Numbers: [4, 81, 6] Generated Node #2: [4, 81, 6] from Operation: 74-68=6 Current State: 79:[4, 81, 6], Operations: ['74-68=6'] Exploring Operation: 4+81=85, Resulting Numbers: [6, 85] Generated Node #3: [6, 85] from Operation: 4+81=85 Current State: 79:[6, 85], Operations: ['74-68=6', '4+81=85'] Exploring Operation: 85-6=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 54, 70, 47, 12 ]
22
[ "54-47=7", "70/7=10", "12+10=22" ]
Current State: 22:[54, 70, 47, 12], Operations: [] Exploring Operation: 54-47=7, Resulting Numbers: [70, 12, 7] Generated Node #2: [70, 12, 7] from Operation: 54-47=7 Current State: 22:[70, 12, 7], Operations: ['54-47=7'] Exploring Operation: 70/7=10, Resulting Numbers: [12, 10] Generated Node #3: [12, 10] from Operation: 70/7=10 Current State: 22:[12, 10], Operations: ['54-47=7', '70/7=10'] Exploring Operation: 12+10=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 6, 25, 85, 26 ]
28
[ "6+25=31", "85-26=59", "59-31=28" ]
Current State: 28:[6, 25, 85, 26], Operations: [] Exploring Operation: 6+25=31, Resulting Numbers: [85, 26, 31] Generated Node #2: [85, 26, 31] from Operation: 6+25=31 Current State: 28:[85, 26, 31], Operations: ['6+25=31'] Exploring Operation: 85-26=59, Resulting Numbers: [31, 59] Generated Node #3: [31, 59] from Operation: 85-26=59 Current State: 28:[31, 59], Operations: ['6+25=31', '85-26=59'] Exploring Operation: 59-31=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 27, 99, 4, 51 ]
39
[ "99-51=48", "48/4=12", "27+12=39" ]
Current State: 39:[27, 99, 4, 51], Operations: [] Exploring Operation: 99-51=48, Resulting Numbers: [27, 4, 48] Generated Node #2: [27, 4, 48] from Operation: 99-51=48 Current State: 39:[27, 4, 48], Operations: ['99-51=48'] Exploring Operation: 48/4=12, Resulting Numbers: [27, 12] Generated Node #3: [27, 12] from Operation: 48/4=12 Current State: 39:[27, 12], Operations: ['99-51=48', '48/4=12'] Exploring Operation: 27+12=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 47, 9, 27, 46 ]
35
[ "47-9=38", "27+46=73", "73-38=35" ]
Current State: 35:[47, 9, 27, 46], Operations: [] Exploring Operation: 47-9=38, Resulting Numbers: [27, 46, 38] Generated Node #2: [27, 46, 38] from Operation: 47-9=38 Current State: 35:[27, 46, 38], Operations: ['47-9=38'] Exploring Operation: 27+46=73, Resulting Numbers: [38, 73] Generated Node #3: [38, 73] from Operation: 27+46=73 Current State: 35:[38, 73], Operations: ['47-9=38', '27+46=73'] Exploring Operation: 73-38=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 21, 54, 30, 40 ]
23
[ "54-21=33", "40-30=10", "33-10=23" ]
Current State: 23:[21, 54, 30, 40], Operations: [] Exploring Operation: 54-21=33, Resulting Numbers: [30, 40, 33] Generated Node #2: [30, 40, 33] from Operation: 54-21=33 Current State: 23:[30, 40, 33], Operations: ['54-21=33'] Exploring Operation: 40-30=10, Resulting Numbers: [33, 10] Generated Node #3: [33, 10] from Operation: 40-30=10 Current State: 23:[33, 10], Operations: ['54-21=33', '40-30=10'] Exploring Operation: 33-10=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 40, 4, 8, 8 ]
60
[ "40+4=44", "8+8=16", "44+16=60" ]
Current State: 60:[40, 4, 8, 8], Operations: [] Exploring Operation: 40+4=44, Resulting Numbers: [8, 8, 44] Generated Node #2: [8, 8, 44] from Operation: 40+4=44 Current State: 60:[8, 8, 44], Operations: ['40+4=44'] Exploring Operation: 8+8=16, Resulting Numbers: [44, 16] Generated Node #3: [44, 16] from Operation: 8+8=16 Current State: 60:[44, 16], Operations: ['40+4=44', '8+8=16'] Exploring Operation: 44+16=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 30, 56, 14, 87 ]
14
[ "30+56=86", "87-86=1", "14*1=14" ]
Current State: 14:[30, 56, 14, 87], Operations: [] Exploring Operation: 30+56=86, Resulting Numbers: [14, 87, 86] Generated Node #2: [14, 87, 86] from Operation: 30+56=86 Current State: 14:[14, 87, 86], Operations: ['30+56=86'] Exploring Operation: 87-86=1, Resulting Numbers: [14, 1] Generated Node #3: [14, 1] from Operation: 87-86=1 Current State: 14:[14, 1], Operations: ['30+56=86', '87-86=1'] Exploring Operation: 14*1=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 44, 42, 88, 85 ]
45
[ "88/44=2", "85-42=43", "2+43=45" ]
Current State: 45:[44, 42, 88, 85], Operations: [] Exploring Operation: 88/44=2, Resulting Numbers: [42, 85, 2] Generated Node #2: [42, 85, 2] from Operation: 88/44=2 Current State: 45:[42, 85, 2], Operations: ['88/44=2'] Exploring Operation: 85-42=43, Resulting Numbers: [2, 43] Generated Node #3: [2, 43] from Operation: 85-42=43 Current State: 45:[2, 43], Operations: ['88/44=2', '85-42=43'] Exploring Operation: 2+43=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 1, 4, 20, 29 ]
71
[ "1+4=5", "20*5=100", "100-29=71" ]
Current State: 71:[1, 4, 20, 29], Operations: [] Exploring Operation: 1+4=5, Resulting Numbers: [20, 29, 5] Generated Node #2: [20, 29, 5] from Operation: 1+4=5 Current State: 71:[20, 29, 5], Operations: ['1+4=5'] Exploring Operation: 20*5=100, Resulting Numbers: [29, 100] Generated Node #3: [29, 100] from Operation: 20*5=100 Current State: 71:[29, 100], Operations: ['1+4=5', '20*5=100'] Exploring Operation: 100-29=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 72, 87, 99, 81 ]
83
[ "99-81=18", "72/18=4", "87-4=83" ]
Current State: 83:[72, 87, 99, 81], Operations: [] Exploring Operation: 99-81=18, Resulting Numbers: [72, 87, 18] Generated Node #2: [72, 87, 18] from Operation: 99-81=18 Current State: 83:[72, 87, 18], Operations: ['99-81=18'] Exploring Operation: 72/18=4, Resulting Numbers: [87, 4] Generated Node #3: [87, 4] from Operation: 72/18=4 Current State: 83:[87, 4], Operations: ['99-81=18', '72/18=4'] Exploring Operation: 87-4=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 98, 73, 91, 5 ]
86
[ "98-73=25", "25/5=5", "91-5=86" ]
Current State: 86:[98, 73, 91, 5], Operations: [] Exploring Operation: 98-73=25, Resulting Numbers: [91, 5, 25] Generated Node #2: [91, 5, 25] from Operation: 98-73=25 Current State: 86:[91, 5, 25], Operations: ['98-73=25'] Exploring Operation: 25/5=5, Resulting Numbers: [91, 5] Generated Node #3: [91, 5] from Operation: 25/5=5 Current State: 86:[91, 5], Operations: ['98-73=25', '25/5=5'] Exploring Operation: 91-5=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 33, 8, 31, 11 ]
21
[ "33+8=41", "31-11=20", "41-20=21" ]
Current State: 21:[33, 8, 31, 11], Operations: [] Exploring Operation: 33+8=41, Resulting Numbers: [31, 11, 41] Generated Node #2: [31, 11, 41] from Operation: 33+8=41 Current State: 21:[31, 11, 41], Operations: ['33+8=41'] Exploring Operation: 31-11=20, Resulting Numbers: [41, 20] Generated Node #3: [41, 20] from Operation: 31-11=20 Current State: 21:[41, 20], Operations: ['33+8=41', '31-11=20'] Exploring Operation: 41-20=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 38, 57, 7, 50 ]
38
[ "38+57=95", "7+50=57", "95-57=38" ]
Current State: 38:[38, 57, 7, 50], Operations: [] Exploring Operation: 38+57=95, Resulting Numbers: [7, 50, 95] Generated Node #2: [7, 50, 95] from Operation: 38+57=95 Current State: 38:[7, 50, 95], Operations: ['38+57=95'] Exploring Operation: 7+50=57, Resulting Numbers: [95, 57] Generated Node #3: [95, 57] from Operation: 7+50=57 Current State: 38:[95, 57], Operations: ['38+57=95', '7+50=57'] Exploring Operation: 95-57=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 65, 40, 53, 62 ]
10
[ "65+40=105", "53+62=115", "115-105=10" ]
Current State: 10:[65, 40, 53, 62], Operations: [] Exploring Operation: 65+40=105, Resulting Numbers: [53, 62, 105] Generated Node #2: [53, 62, 105] from Operation: 65+40=105 Current State: 10:[53, 62, 105], Operations: ['65+40=105'] Exploring Operation: 53+62=115, Resulting Numbers: [105, 115] Generated Node #3: [105, 115] from Operation: 53+62=115 Current State: 10:[105, 115], Operations: ['65+40=105', '53+62=115'] Exploring Operation: 115-105=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 81, 37, 34, 23 ]
61
[ "81+37=118", "34+23=57", "118-57=61" ]
Current State: 61:[81, 37, 34, 23], Operations: [] Exploring Operation: 81+37=118, Resulting Numbers: [34, 23, 118] Generated Node #2: [34, 23, 118] from Operation: 81+37=118 Current State: 61:[34, 23, 118], Operations: ['81+37=118'] Exploring Operation: 34+23=57, Resulting Numbers: [118, 57] Generated Node #3: [118, 57] from Operation: 34+23=57 Current State: 61:[118, 57], Operations: ['81+37=118', '34+23=57'] Exploring Operation: 118-57=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 44, 87, 26, 24 ]
93
[ "87-44=43", "26+24=50", "43+50=93" ]
Current State: 93:[44, 87, 26, 24], Operations: [] Exploring Operation: 87-44=43, Resulting Numbers: [26, 24, 43] Generated Node #2: [26, 24, 43] from Operation: 87-44=43 Current State: 93:[26, 24, 43], Operations: ['87-44=43'] Exploring Operation: 26+24=50, Resulting Numbers: [43, 50] Generated Node #3: [43, 50] from Operation: 26+24=50 Current State: 93:[43, 50], Operations: ['87-44=43', '26+24=50'] Exploring Operation: 43+50=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 73, 32, 77, 76 ]
68
[ "77-73=4", "32/4=8", "76-8=68" ]
Current State: 68:[73, 32, 77, 76], Operations: [] Exploring Operation: 77-73=4, Resulting Numbers: [32, 76, 4] Generated Node #2: [32, 76, 4] from Operation: 77-73=4 Current State: 68:[32, 76, 4], Operations: ['77-73=4'] Exploring Operation: 32/4=8, Resulting Numbers: [76, 8] Generated Node #3: [76, 8] from Operation: 32/4=8 Current State: 68:[76, 8], Operations: ['77-73=4', '32/4=8'] Exploring Operation: 76-8=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 84, 6, 29, 62 ]
77
[ "84/6=14", "29+62=91", "91-14=77" ]
Current State: 77:[84, 6, 29, 62], Operations: [] Exploring Operation: 84/6=14, Resulting Numbers: [29, 62, 14] Generated Node #2: [29, 62, 14] from Operation: 84/6=14 Current State: 77:[29, 62, 14], Operations: ['84/6=14'] Exploring Operation: 29+62=91, Resulting Numbers: [14, 91] Generated Node #3: [14, 91] from Operation: 29+62=91 Current State: 77:[14, 91], Operations: ['84/6=14', '29+62=91'] Exploring Operation: 91-14=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 67, 13, 35, 78 ]
33
[ "67+13=80", "35+78=113", "113-80=33" ]
Current State: 33:[67, 13, 35, 78], Operations: [] Exploring Operation: 67+13=80, Resulting Numbers: [35, 78, 80] Generated Node #2: [35, 78, 80] from Operation: 67+13=80 Current State: 33:[35, 78, 80], Operations: ['67+13=80'] Exploring Operation: 35+78=113, Resulting Numbers: [80, 113] Generated Node #3: [80, 113] from Operation: 35+78=113 Current State: 33:[80, 113], Operations: ['67+13=80', '35+78=113'] Exploring Operation: 113-80=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 43, 63, 41, 31 ]
95
[ "43-41=2", "63*2=126", "126-31=95" ]
Current State: 95:[43, 63, 41, 31], Operations: [] Exploring Operation: 43-41=2, Resulting Numbers: [63, 31, 2] Generated Node #2: [63, 31, 2] from Operation: 43-41=2 Current State: 95:[63, 31, 2], Operations: ['43-41=2'] Exploring Operation: 63*2=126, Resulting Numbers: [31, 126] Generated Node #3: [31, 126] from Operation: 63*2=126 Current State: 95:[31, 126], Operations: ['43-41=2', '63*2=126'] Exploring Operation: 126-31=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 43, 71, 26, 45 ]
58
[ "45-43=2", "26/2=13", "71-13=58" ]
Current State: 58:[43, 71, 26, 45], Operations: [] Exploring Operation: 45-43=2, Resulting Numbers: [71, 26, 2] Generated Node #2: [71, 26, 2] from Operation: 45-43=2 Current State: 58:[71, 26, 2], Operations: ['45-43=2'] Exploring Operation: 26/2=13, Resulting Numbers: [71, 13] Generated Node #3: [71, 13] from Operation: 26/2=13 Current State: 58:[71, 13], Operations: ['45-43=2', '26/2=13'] Exploring Operation: 71-13=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 75, 13, 58, 96 ]
66
[ "75+13=88", "58+96=154", "154-88=66" ]
Current State: 66:[75, 13, 58, 96], Operations: [] Exploring Operation: 75+13=88, Resulting Numbers: [58, 96, 88] Generated Node #2: [58, 96, 88] from Operation: 75+13=88 Current State: 66:[58, 96, 88], Operations: ['75+13=88'] Exploring Operation: 58+96=154, Resulting Numbers: [88, 154] Generated Node #3: [88, 154] from Operation: 58+96=154 Current State: 66:[88, 154], Operations: ['75+13=88', '58+96=154'] Exploring Operation: 154-88=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 9, 27, 82, 47 ]
59
[ "27/9=3", "47*3=141", "141-82=59" ]
Current State: 59:[9, 27, 82, 47], Operations: [] Exploring Operation: 27/9=3, Resulting Numbers: [82, 47, 3] Generated Node #2: [82, 47, 3] from Operation: 27/9=3 Current State: 59:[82, 47, 3], Operations: ['27/9=3'] Exploring Operation: 47*3=141, Resulting Numbers: [82, 141] Generated Node #3: [82, 141] from Operation: 47*3=141 Current State: 59:[82, 141], Operations: ['27/9=3', '47*3=141'] Exploring Operation: 141-82=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 84, 2, 21, 20 ]
18
[ "84/2=42", "42/21=2", "20-2=18" ]
Current State: 18:[84, 2, 21, 20], Operations: [] Exploring Operation: 84/2=42, Resulting Numbers: [21, 20, 42] Generated Node #2: [21, 20, 42] from Operation: 84/2=42 Current State: 18:[21, 20, 42], Operations: ['84/2=42'] Exploring Operation: 42/21=2, Resulting Numbers: [20, 2] Generated Node #3: [20, 2] from Operation: 42/21=2 Current State: 18:[20, 2], Operations: ['84/2=42', '42/21=2'] Exploring Operation: 20-2=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 4, 68, 27, 28 ]
48
[ "28/4=7", "68-27=41", "7+41=48" ]
Current State: 48:[4, 68, 27, 28], Operations: [] Exploring Operation: 28/4=7, Resulting Numbers: [68, 27, 7] Generated Node #2: [68, 27, 7] from Operation: 28/4=7 Current State: 48:[68, 27, 7], Operations: ['28/4=7'] Exploring Operation: 68-27=41, Resulting Numbers: [7, 41] Generated Node #3: [7, 41] from Operation: 68-27=41 Current State: 48:[7, 41], Operations: ['28/4=7', '68-27=41'] Exploring Operation: 7+41=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 57, 90, 95, 57 ]
90
[ "57-57=0", "95*0=0", "90+0=90" ]
Current State: 90:[57, 90, 95, 57], Operations: [] Exploring Operation: 57-57=0, Resulting Numbers: [90, 95, 0] Generated Node #2: [90, 95, 0] from Operation: 57-57=0 Current State: 90:[90, 95, 0], Operations: ['57-57=0'] Exploring Operation: 95*0=0, Resulting Numbers: [90, 0] Generated Node #3: [90, 0] from Operation: 95*0=0 Current State: 90:[90, 0], Operations: ['57-57=0', '95*0=0'] Exploring Operation: 90+0=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 14, 56, 52, 45 ]
27
[ "14+56=70", "52+45=97", "97-70=27" ]
Current State: 27:[14, 56, 52, 45], Operations: [] Exploring Operation: 14+56=70, Resulting Numbers: [52, 45, 70] Generated Node #2: [52, 45, 70] from Operation: 14+56=70 Current State: 27:[52, 45, 70], Operations: ['14+56=70'] Exploring Operation: 52+45=97, Resulting Numbers: [70, 97] Generated Node #3: [70, 97] from Operation: 52+45=97 Current State: 27:[70, 97], Operations: ['14+56=70', '52+45=97'] Exploring Operation: 97-70=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 3, 50, 42, 49 ]
75
[ "50+49=99", "99/3=33", "42+33=75" ]
Current State: 75:[3, 50, 42, 49], Operations: [] Exploring Operation: 50+49=99, Resulting Numbers: [3, 42, 99] Generated Node #2: [3, 42, 99] from Operation: 50+49=99 Current State: 75:[3, 42, 99], Operations: ['50+49=99'] Exploring Operation: 99/3=33, Resulting Numbers: [42, 33] Generated Node #3: [42, 33] from Operation: 99/3=33 Current State: 75:[42, 33], Operations: ['50+49=99', '99/3=33'] Exploring Operation: 42+33=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 86, 37, 2, 91 ]
79
[ "91-86=5", "37*2=74", "5+74=79" ]
Current State: 79:[86, 37, 2, 91], Operations: [] Exploring Operation: 91-86=5, Resulting Numbers: [37, 2, 5] Generated Node #2: [37, 2, 5] from Operation: 91-86=5 Current State: 79:[37, 2, 5], Operations: ['91-86=5'] Exploring Operation: 37*2=74, Resulting Numbers: [5, 74] Generated Node #3: [5, 74] from Operation: 37*2=74 Current State: 79:[5, 74], Operations: ['91-86=5', '37*2=74'] Exploring Operation: 5+74=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 31, 53, 47, 8 ]
61
[ "53-31=22", "47-8=39", "22+39=61" ]
Current State: 61:[31, 53, 47, 8], Operations: [] Exploring Operation: 53-31=22, Resulting Numbers: [47, 8, 22] Generated Node #2: [47, 8, 22] from Operation: 53-31=22 Current State: 61:[47, 8, 22], Operations: ['53-31=22'] Exploring Operation: 47-8=39, Resulting Numbers: [22, 39] Generated Node #3: [22, 39] from Operation: 47-8=39 Current State: 61:[22, 39], Operations: ['53-31=22', '47-8=39'] Exploring Operation: 22+39=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 62, 34, 68, 72 ]
98
[ "68/34=2", "72/2=36", "62+36=98" ]
Current State: 98:[62, 34, 68, 72], Operations: [] Exploring Operation: 68/34=2, Resulting Numbers: [62, 72, 2] Generated Node #2: [62, 72, 2] from Operation: 68/34=2 Current State: 98:[62, 72, 2], Operations: ['68/34=2'] Exploring Operation: 72/2=36, Resulting Numbers: [62, 36] Generated Node #3: [62, 36] from Operation: 72/2=36 Current State: 98:[62, 36], Operations: ['68/34=2', '72/2=36'] Exploring Operation: 62+36=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 94, 44, 44, 93 ]
89
[ "94+44=138", "93-44=49", "138-49=89" ]
Current State: 89:[94, 44, 44, 93], Operations: [] Exploring Operation: 94+44=138, Resulting Numbers: [93, 138] Generated Node #2: [93, 138] from Operation: 94+44=138 Current State: 89:[93, 138], Operations: ['94+44=138'] Exploring Operation: 93-44=49, Resulting Numbers: [138, 49] Generated Node #3: [138, 49] from Operation: 93-44=49 Current State: 89:[138, 49], Operations: ['94+44=138', '93-44=49'] Exploring Operation: 138-49=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 40, 48, 61, 15 ]
43
[ "48*15=720", "720/40=18", "61-18=43" ]
Current State: 43:[40, 48, 61, 15], Operations: [] Exploring Operation: 48*15=720, Resulting Numbers: [40, 61, 720] Generated Node #2: [40, 61, 720] from Operation: 48*15=720 Current State: 43:[40, 61, 720], Operations: ['48*15=720'] Exploring Operation: 720/40=18, Resulting Numbers: [61, 18] Generated Node #3: [61, 18] from Operation: 720/40=18 Current State: 43:[61, 18], Operations: ['48*15=720', '720/40=18'] Exploring Operation: 61-18=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 48, 46, 43, 49 ]
24
[ "48*46=2208", "43+49=92", "2208/92=24" ]
Current State: 24:[48, 46, 43, 49], Operations: [] Exploring Operation: 48*46=2208, Resulting Numbers: [43, 49, 2208] Generated Node #2: [43, 49, 2208] from Operation: 48*46=2208 Current State: 24:[43, 49, 2208], Operations: ['48*46=2208'] Exploring Operation: 43+49=92, Resulting Numbers: [2208, 92] Generated Node #3: [2208, 92] from Operation: 43+49=92 Current State: 24:[2208, 92], Operations: ['48*46=2208', '43+49=92'] Exploring Operation: 2208/92=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 77, 38, 8, 80 ]
14
[ "80-77=3", "8*3=24", "38-24=14" ]
Current State: 14:[77, 38, 8, 80], Operations: [] Exploring Operation: 80-77=3, Resulting Numbers: [38, 8, 3] Generated Node #2: [38, 8, 3] from Operation: 80-77=3 Current State: 14:[38, 8, 3], Operations: ['80-77=3'] Exploring Operation: 8*3=24, Resulting Numbers: [38, 24] Generated Node #3: [38, 24] from Operation: 8*3=24 Current State: 14:[38, 24], Operations: ['80-77=3', '8*3=24'] Exploring Operation: 38-24=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 19, 15, 5, 2 ]
64
[ "5-2=3", "15*3=45", "19+45=64" ]
Current State: 64:[19, 15, 5, 2], Operations: [] Exploring Operation: 5-2=3, Resulting Numbers: [19, 15, 3] Generated Node #2: [19, 15, 3] from Operation: 5-2=3 Current State: 64:[19, 15, 3], Operations: ['5-2=3'] Exploring Operation: 15*3=45, Resulting Numbers: [19, 45] Generated Node #3: [19, 45] from Operation: 15*3=45 Current State: 64:[19, 45], Operations: ['5-2=3', '15*3=45'] Exploring Operation: 19+45=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 34, 17, 7, 21 ]
37
[ "34+17=51", "21-7=14", "51-14=37" ]
Current State: 37:[34, 17, 7, 21], Operations: [] Exploring Operation: 34+17=51, Resulting Numbers: [7, 21, 51] Generated Node #2: [7, 21, 51] from Operation: 34+17=51 Current State: 37:[7, 21, 51], Operations: ['34+17=51'] Exploring Operation: 21-7=14, Resulting Numbers: [51, 14] Generated Node #3: [51, 14] from Operation: 21-7=14 Current State: 37:[51, 14], Operations: ['34+17=51', '21-7=14'] Exploring Operation: 51-14=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 45, 97, 18, 7 ]
74
[ "97-45=52", "18*7=126", "126-52=74" ]
Current State: 74:[45, 97, 18, 7], Operations: [] Exploring Operation: 97-45=52, Resulting Numbers: [18, 7, 52] Generated Node #2: [18, 7, 52] from Operation: 97-45=52 Current State: 74:[18, 7, 52], Operations: ['97-45=52'] Exploring Operation: 18*7=126, Resulting Numbers: [52, 126] Generated Node #3: [52, 126] from Operation: 18*7=126 Current State: 74:[52, 126], Operations: ['97-45=52', '18*7=126'] Exploring Operation: 126-52=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 30, 83, 51, 10 ]
20
[ "83-30=53", "53-51=2", "10*2=20" ]
Current State: 20:[30, 83, 51, 10], Operations: [] Exploring Operation: 83-30=53, Resulting Numbers: [51, 10, 53] Generated Node #2: [51, 10, 53] from Operation: 83-30=53 Current State: 20:[51, 10, 53], Operations: ['83-30=53'] Exploring Operation: 53-51=2, Resulting Numbers: [10, 2] Generated Node #3: [10, 2] from Operation: 53-51=2 Current State: 20:[10, 2], Operations: ['83-30=53', '53-51=2'] Exploring Operation: 10*2=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 49, 5, 83, 33 ]
59
[ "83-33=50", "50/5=10", "49+10=59" ]
Current State: 59:[49, 5, 83, 33], Operations: [] Exploring Operation: 83-33=50, Resulting Numbers: [49, 5, 50] Generated Node #2: [49, 5, 50] from Operation: 83-33=50 Current State: 59:[49, 5, 50], Operations: ['83-33=50'] Exploring Operation: 50/5=10, Resulting Numbers: [49, 10] Generated Node #3: [49, 10] from Operation: 50/5=10 Current State: 59:[49, 10], Operations: ['83-33=50', '50/5=10'] Exploring Operation: 49+10=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 47, 12, 50, 16 ]
64
[ "50-47=3", "12*16=192", "192/3=64" ]
Current State: 64:[47, 12, 50, 16], Operations: [] Exploring Operation: 50-47=3, Resulting Numbers: [12, 16, 3] Generated Node #2: [12, 16, 3] from Operation: 50-47=3 Current State: 64:[12, 16, 3], Operations: ['50-47=3'] Exploring Operation: 12*16=192, Resulting Numbers: [3, 192] Generated Node #3: [3, 192] from Operation: 12*16=192 Current State: 64:[3, 192], Operations: ['50-47=3', '12*16=192'] Exploring Operation: 192/3=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 54, 82, 24, 52 ]
29
[ "54-52=2", "82-24=58", "58/2=29" ]
Current State: 29:[54, 82, 24, 52], Operations: [] Exploring Operation: 54-52=2, Resulting Numbers: [82, 24, 2] Generated Node #2: [82, 24, 2] from Operation: 54-52=2 Current State: 29:[82, 24, 2], Operations: ['54-52=2'] Exploring Operation: 82-24=58, Resulting Numbers: [2, 58] Generated Node #3: [2, 58] from Operation: 82-24=58 Current State: 29:[2, 58], Operations: ['54-52=2', '82-24=58'] Exploring Operation: 58/2=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 6, 60, 92, 77 ]
30
[ "92-77=15", "6*15=90", "90-60=30" ]
Current State: 30:[6, 60, 92, 77], Operations: [] Exploring Operation: 92-77=15, Resulting Numbers: [6, 60, 15] Generated Node #2: [6, 60, 15] from Operation: 92-77=15 Current State: 30:[6, 60, 15], Operations: ['92-77=15'] Exploring Operation: 6*15=90, Resulting Numbers: [60, 90] Generated Node #3: [60, 90] from Operation: 6*15=90 Current State: 30:[60, 90], Operations: ['92-77=15', '6*15=90'] Exploring Operation: 90-60=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 13, 36, 75, 75 ]
48
[ "13+36=49", "75/75=1", "49-1=48" ]
Current State: 48:[13, 36, 75, 75], Operations: [] Exploring Operation: 13+36=49, Resulting Numbers: [75, 75, 49] Generated Node #2: [75, 75, 49] from Operation: 13+36=49 Current State: 48:[75, 75, 49], Operations: ['13+36=49'] Exploring Operation: 75/75=1, Resulting Numbers: [49, 1] Generated Node #3: [49, 1] from Operation: 75/75=1 Current State: 48:[49, 1], Operations: ['13+36=49', '75/75=1'] Exploring Operation: 49-1=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 90, 18, 5, 42 ]
32
[ "90/18=5", "42-5=37", "37-5=32" ]
Current State: 32:[90, 18, 5, 42], Operations: [] Exploring Operation: 90/18=5, Resulting Numbers: [5, 42, 5] Generated Node #2: [5, 42, 5] from Operation: 90/18=5 Current State: 32:[5, 42, 5], Operations: ['90/18=5'] Exploring Operation: 42-5=37, Resulting Numbers: [37] 37,32 equal: Goal Reached Exploring Operation: 37-5=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 33, 10, 17, 58 ]
79
[ "33+58=91", "10*17=170", "170-91=79" ]
Current State: 79:[33, 10, 17, 58], Operations: [] Exploring Operation: 33+58=91, Resulting Numbers: [10, 17, 91] Generated Node #2: [10, 17, 91] from Operation: 33+58=91 Current State: 79:[10, 17, 91], Operations: ['33+58=91'] Exploring Operation: 10*17=170, Resulting Numbers: [91, 170] Generated Node #3: [91, 170] from Operation: 10*17=170 Current State: 79:[91, 170], Operations: ['33+58=91', '10*17=170'] Exploring Operation: 170-91=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 79, 88, 7, 85 ]
87
[ "88-79=9", "85-7=78", "9+78=87" ]
Current State: 87:[79, 88, 7, 85], Operations: [] Exploring Operation: 88-79=9, Resulting Numbers: [7, 85, 9] Generated Node #2: [7, 85, 9] from Operation: 88-79=9 Current State: 87:[7, 85, 9], Operations: ['88-79=9'] Exploring Operation: 85-7=78, Resulting Numbers: [9, 78] Generated Node #3: [9, 78] from Operation: 85-7=78 Current State: 87:[9, 78], Operations: ['88-79=9', '85-7=78'] Exploring Operation: 9+78=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 52, 47, 95, 11 ]
21
[ "95*11=1045", "47+1045=1092", "1092/52=21" ]
Current State: 21:[52, 47, 95, 11], Operations: [] Exploring Operation: 95*11=1045, Resulting Numbers: [52, 47, 1045] Generated Node #2: [52, 47, 1045] from Operation: 95*11=1045 Current State: 21:[52, 47, 1045], Operations: ['95*11=1045'] Exploring Operation: 47+1045=1092, Resulting Numbers: [52, 1092] Generated Node #3: [52, 1092] from Operation: 47+1045=1092 Current State: 21:[52, 1092], Operations: ['95*11=1045', '47+1045=1092'] Exploring Operation: 1092/52=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 9, 45, 63, 13 ]
27
[ "13-9=4", "45+63=108", "108/4=27" ]
Current State: 27:[9, 45, 63, 13], Operations: [] Exploring Operation: 13-9=4, Resulting Numbers: [45, 63, 4] Generated Node #2: [45, 63, 4] from Operation: 13-9=4 Current State: 27:[45, 63, 4], Operations: ['13-9=4'] Exploring Operation: 45+63=108, Resulting Numbers: [4, 108] Generated Node #3: [4, 108] from Operation: 45+63=108 Current State: 27:[4, 108], Operations: ['13-9=4', '45+63=108'] Exploring Operation: 108/4=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 65, 18, 43, 36 ]
32
[ "65-18=47", "43+36=79", "79-47=32" ]
Current State: 32:[65, 18, 43, 36], Operations: [] Exploring Operation: 65-18=47, Resulting Numbers: [43, 36, 47] Generated Node #2: [43, 36, 47] from Operation: 65-18=47 Current State: 32:[43, 36, 47], Operations: ['65-18=47'] Exploring Operation: 43+36=79, Resulting Numbers: [47, 79] Generated Node #3: [47, 79] from Operation: 43+36=79 Current State: 32:[47, 79], Operations: ['65-18=47', '43+36=79'] Exploring Operation: 79-47=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 61, 2, 65, 2 ]
61
[ "61+2=63", "2*63=126", "126-65=61" ]
Current State: 61:[61, 2, 65, 2], Operations: [] Exploring Operation: 61+2=63, Resulting Numbers: [65, 63] Generated Node #2: [65, 63] from Operation: 61+2=63 Current State: 61:[65, 63], Operations: ['61+2=63'] Exploring Operation: 2*63=126, Resulting Numbers: [65, 126] Generated Node #3: [65, 126] from Operation: 2*63=126 Current State: 61:[65, 126], Operations: ['61+2=63', '2*63=126'] Exploring Operation: 126-65=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 43, 34, 30, 61 ]
82
[ "43-34=9", "30+61=91", "91-9=82" ]
Current State: 82:[43, 34, 30, 61], Operations: [] Exploring Operation: 43-34=9, Resulting Numbers: [30, 61, 9] Generated Node #2: [30, 61, 9] from Operation: 43-34=9 Current State: 82:[30, 61, 9], Operations: ['43-34=9'] Exploring Operation: 30+61=91, Resulting Numbers: [9, 91] Generated Node #3: [9, 91] from Operation: 30+61=91 Current State: 82:[9, 91], Operations: ['43-34=9', '30+61=91'] Exploring Operation: 91-9=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 81, 52, 63, 86 ]
23
[ "86-81=5", "52+63=115", "115/5=23" ]
Current State: 23:[81, 52, 63, 86], Operations: [] Exploring Operation: 86-81=5, Resulting Numbers: [52, 63, 5] Generated Node #2: [52, 63, 5] from Operation: 86-81=5 Current State: 23:[52, 63, 5], Operations: ['86-81=5'] Exploring Operation: 52+63=115, Resulting Numbers: [5, 115] Generated Node #3: [5, 115] from Operation: 52+63=115 Current State: 23:[5, 115], Operations: ['86-81=5', '52+63=115'] Exploring Operation: 115/5=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 43, 88, 58, 31 ]
43
[ "88-58=30", "31-30=1", "43*1=43" ]
Current State: 43:[43, 88, 58, 31], Operations: [] Exploring Operation: 88-58=30, Resulting Numbers: [43, 31, 30] Generated Node #2: [43, 31, 30] from Operation: 88-58=30 Current State: 43:[43, 31, 30], Operations: ['88-58=30'] Exploring Operation: 31-30=1, Resulting Numbers: [43, 1] Generated Node #3: [43, 1] from Operation: 31-30=1 Current State: 43:[43, 1], Operations: ['88-58=30', '31-30=1'] Exploring Operation: 43*1=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 72, 32, 90, 8 ]
72
[ "90-72=18", "32/8=4", "18*4=72" ]
Current State: 72:[72, 32, 90, 8], Operations: [] Exploring Operation: 90-72=18, Resulting Numbers: [32, 8, 18] Generated Node #2: [32, 8, 18] from Operation: 90-72=18 Current State: 72:[32, 8, 18], Operations: ['90-72=18'] Exploring Operation: 32/8=4, Resulting Numbers: [18, 4] Generated Node #3: [18, 4] from Operation: 32/8=4 Current State: 72:[18, 4], Operations: ['90-72=18', '32/8=4'] Exploring Operation: 18*4=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 10, 50, 20, 95 ]
23
[ "50/10=5", "20+95=115", "115/5=23" ]
Current State: 23:[10, 50, 20, 95], Operations: [] Exploring Operation: 50/10=5, Resulting Numbers: [20, 95, 5] Generated Node #2: [20, 95, 5] from Operation: 50/10=5 Current State: 23:[20, 95, 5], Operations: ['50/10=5'] Exploring Operation: 20+95=115, Resulting Numbers: [5, 115] Generated Node #3: [5, 115] from Operation: 20+95=115 Current State: 23:[5, 115], Operations: ['50/10=5', '20+95=115'] Exploring Operation: 115/5=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 43, 52, 63, 4 ]
11
[ "52-43=9", "63/9=7", "4+7=11" ]
Current State: 11:[43, 52, 63, 4], Operations: [] Exploring Operation: 52-43=9, Resulting Numbers: [63, 4, 9] Generated Node #2: [63, 4, 9] from Operation: 52-43=9 Current State: 11:[63, 4, 9], Operations: ['52-43=9'] Exploring Operation: 63/9=7, Resulting Numbers: [4, 7] Generated Node #3: [4, 7] from Operation: 63/9=7 Current State: 11:[4, 7], Operations: ['52-43=9', '63/9=7'] Exploring Operation: 4+7=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 13, 89, 26, 25 ]
32
[ "26/13=2", "89-25=64", "64/2=32" ]
Current State: 32:[13, 89, 26, 25], Operations: [] Exploring Operation: 26/13=2, Resulting Numbers: [89, 25, 2] Generated Node #2: [89, 25, 2] from Operation: 26/13=2 Current State: 32:[89, 25, 2], Operations: ['26/13=2'] Exploring Operation: 89-25=64, Resulting Numbers: [2, 64] Generated Node #3: [2, 64] from Operation: 89-25=64 Current State: 32:[2, 64], Operations: ['26/13=2', '89-25=64'] Exploring Operation: 64/2=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4