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
[ 72, 52, 5, 23 ]
73
[ "52-23=29", "5*29=145", "145-72=73" ]
Current State: 73:[72, 52, 5, 23], Operations: [] Exploring Operation: 52-23=29, Resulting Numbers: [72, 5, 29] Generated Node #2: [72, 5, 29] from Operation: 52-23=29 Current State: 73:[72, 5, 29], Operations: ['52-23=29'] Exploring Operation: 5*29=145, Resulting Numbers: [72, 145] Generated Node #3: [72, 145] from Operation: 5*29=145 Current State: 73:[72, 145], Operations: ['52-23=29', '5*29=145'] Exploring Operation: 145-72=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 46, 42, 37, 6 ]
96
[ "46-37=9", "6*9=54", "42+54=96" ]
Current State: 96:[46, 42, 37, 6], Operations: [] Exploring Operation: 46-37=9, Resulting Numbers: [42, 6, 9] Generated Node #2: [42, 6, 9] from Operation: 46-37=9 Current State: 96:[42, 6, 9], Operations: ['46-37=9'] Exploring Operation: 6*9=54, Resulting Numbers: [42, 54] Generated Node #3: [42, 54] from Operation: 6*9=54 Current State: 96:[42, 54], Operations: ['46-37=9', '6*9=54'] Exploring Operation: 42+54=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 80, 4, 19, 9 ]
63
[ "80+19=99", "4*9=36", "99-36=63" ]
Current State: 63:[80, 4, 19, 9], Operations: [] Exploring Operation: 80+19=99, Resulting Numbers: [4, 9, 99] Generated Node #2: [4, 9, 99] from Operation: 80+19=99 Current State: 63:[4, 9, 99], Operations: ['80+19=99'] Exploring Operation: 4*9=36, Resulting Numbers: [99, 36] Generated Node #3: [99, 36] from Operation: 4*9=36 Current State: 63:[99, 36], Operations: ['80+19=99', '4*9=36'] Exploring Operation: 99-36=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 73, 79, 60, 1 ]
65
[ "79-73=6", "60-1=59", "6+59=65" ]
Current State: 65:[73, 79, 60, 1], Operations: [] Exploring Operation: 79-73=6, Resulting Numbers: [60, 1, 6] Generated Node #2: [60, 1, 6] from Operation: 79-73=6 Current State: 65:[60, 1, 6], Operations: ['79-73=6'] Exploring Operation: 60-1=59, Resulting Numbers: [6, 59] Generated Node #3: [6, 59] from Operation: 60-1=59 Current State: 65:[6, 59], Operations: ['79-73=6', '60-1=59'] Exploring Operation: 6+59=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 23, 44, 12, 68 ]
25
[ "68-44=24", "24/12=2", "23+2=25" ]
Current State: 25:[23, 44, 12, 68], Operations: [] Exploring Operation: 68-44=24, Resulting Numbers: [23, 12, 24] Generated Node #2: [23, 12, 24] from Operation: 68-44=24 Current State: 25:[23, 12, 24], Operations: ['68-44=24'] Exploring Operation: 24/12=2, Resulting Numbers: [23, 2] Generated Node #3: [23, 2] from Operation: 24/12=2 Current State: 25:[23, 2], Operations: ['68-44=24', '24/12=2'] Exploring Operation: 23+2=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 65, 32, 22, 86 ]
17
[ "65*22=1430", "32+1430=1462", "1462/86=17" ]
Current State: 17:[65, 32, 22, 86], Operations: [] Exploring Operation: 65*22=1430, Resulting Numbers: [32, 86, 1430] Generated Node #2: [32, 86, 1430] from Operation: 65*22=1430 Current State: 17:[32, 86, 1430], Operations: ['65*22=1430'] Exploring Operation: 32+1430=1462, Resulting Numbers: [86, 1462] Generated Node #3: [86, 1462] from Operation: 32+1430=1462 Current State: 17:[86, 1462], Operations: ['65*22=1430', '32+1430=1462'] Exploring Operation: 1462/86=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 43, 63, 3, 98 ]
68
[ "43+63=106", "98+106=204", "204/3=68" ]
Current State: 68:[43, 63, 3, 98], Operations: [] Exploring Operation: 43+63=106, Resulting Numbers: [3, 98, 106] Generated Node #2: [3, 98, 106] from Operation: 43+63=106 Current State: 68:[3, 98, 106], Operations: ['43+63=106'] Exploring Operation: 98+106=204, Resulting Numbers: [3, 204] Generated Node #3: [3, 204] from Operation: 98+106=204 Current State: 68:[3, 204], Operations: ['43+63=106', '98+106=204'] Exploring Operation: 204/3=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 4, 59, 27, 49 ]
29
[ "49-27=22", "4*22=88", "88-59=29" ]
Current State: 29:[4, 59, 27, 49], Operations: [] Exploring Operation: 49-27=22, Resulting Numbers: [4, 59, 22] Generated Node #2: [4, 59, 22] from Operation: 49-27=22 Current State: 29:[4, 59, 22], Operations: ['49-27=22'] Exploring Operation: 4*22=88, Resulting Numbers: [59, 88] Generated Node #3: [59, 88] from Operation: 4*22=88 Current State: 29:[59, 88], Operations: ['49-27=22', '4*22=88'] Exploring Operation: 88-59=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 93, 94, 37, 21 ]
17
[ "94-93=1", "37-21=16", "1+16=17" ]
Current State: 17:[93, 94, 37, 21], Operations: [] Exploring Operation: 94-93=1, Resulting Numbers: [37, 21, 1] Generated Node #2: [37, 21, 1] from Operation: 94-93=1 Current State: 17:[37, 21, 1], Operations: ['94-93=1'] Exploring Operation: 37-21=16, Resulting Numbers: [1, 16] Generated Node #3: [1, 16] from Operation: 37-21=16 Current State: 17:[1, 16], Operations: ['94-93=1', '37-21=16'] Exploring Operation: 1+16=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 54, 63, 29, 51 ]
81
[ "54*51=2754", "63-29=34", "2754/34=81" ]
Current State: 81:[54, 63, 29, 51], Operations: [] Exploring Operation: 54*51=2754, Resulting Numbers: [63, 29, 2754] Generated Node #2: [63, 29, 2754] from Operation: 54*51=2754 Current State: 81:[63, 29, 2754], Operations: ['54*51=2754'] Exploring Operation: 63-29=34, Resulting Numbers: [2754, 34] Generated Node #3: [2754, 34] from Operation: 63-29=34 Current State: 81:[2754, 34], Operations: ['54*51=2754', '63-29=34'] Exploring Operation: 2754/34=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 37, 39, 64, 1 ]
64
[ "39-37=2", "2-1=1", "64*1=64" ]
Current State: 64:[37, 39, 64, 1], Operations: [] Exploring Operation: 39-37=2, Resulting Numbers: [64, 1, 2] Generated Node #2: [64, 1, 2] from Operation: 39-37=2 Current State: 64:[64, 1, 2], Operations: ['39-37=2'] Exploring Operation: 2-1=1, Resulting Numbers: [64, 1] Generated Node #3: [64, 1] from Operation: 2-1=1 Current State: 64:[64, 1], Operations: ['39-37=2', '2-1=1'] Exploring Operation: 64*1=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 7, 84, 22, 70 ]
24
[ "7+70=77", "84*22=1848", "1848/77=24" ]
Current State: 24:[7, 84, 22, 70], Operations: [] Exploring Operation: 7+70=77, Resulting Numbers: [84, 22, 77] Generated Node #2: [84, 22, 77] from Operation: 7+70=77 Current State: 24:[84, 22, 77], Operations: ['7+70=77'] Exploring Operation: 84*22=1848, Resulting Numbers: [77, 1848] Generated Node #3: [77, 1848] from Operation: 84*22=1848 Current State: 24:[77, 1848], Operations: ['7+70=77', '84*22=1848'] Exploring Operation: 1848/77=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 24, 39, 14, 59 ]
60
[ "39-24=15", "59-14=45", "15+45=60" ]
Current State: 60:[24, 39, 14, 59], Operations: [] Exploring Operation: 39-24=15, Resulting Numbers: [14, 59, 15] Generated Node #2: [14, 59, 15] from Operation: 39-24=15 Current State: 60:[14, 59, 15], Operations: ['39-24=15'] Exploring Operation: 59-14=45, Resulting Numbers: [15, 45] Generated Node #3: [15, 45] from Operation: 59-14=45 Current State: 60:[15, 45], Operations: ['39-24=15', '59-14=45'] Exploring Operation: 15+45=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 60, 66, 76, 5 ]
65
[ "66-60=6", "76-5=71", "71-6=65" ]
Current State: 65:[60, 66, 76, 5], Operations: [] Exploring Operation: 66-60=6, Resulting Numbers: [76, 5, 6] Generated Node #2: [76, 5, 6] from Operation: 66-60=6 Current State: 65:[76, 5, 6], Operations: ['66-60=6'] Exploring Operation: 76-5=71, Resulting Numbers: [6, 71] Generated Node #3: [6, 71] from Operation: 76-5=71 Current State: 65:[6, 71], Operations: ['66-60=6', '76-5=71'] Exploring Operation: 71-6=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 45, 36, 11, 4 ]
33
[ "11+4=15", "45/15=3", "36-3=33" ]
Current State: 33:[45, 36, 11, 4], Operations: [] Exploring Operation: 11+4=15, Resulting Numbers: [45, 36, 15] Generated Node #2: [45, 36, 15] from Operation: 11+4=15 Current State: 33:[45, 36, 15], Operations: ['11+4=15'] Exploring Operation: 45/15=3, Resulting Numbers: [36, 3] Generated Node #3: [36, 3] from Operation: 45/15=3 Current State: 33:[36, 3], Operations: ['11+4=15', '45/15=3'] Exploring Operation: 36-3=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 47, 1, 80, 4 ]
29
[ "47*1=47", "80-4=76", "76-47=29" ]
Current State: 29:[47, 1, 80, 4], Operations: [] Exploring Operation: 47*1=47, Resulting Numbers: [80, 4, 47] Generated Node #2: [80, 4, 47] from Operation: 47*1=47 Current State: 29:[80, 4, 47], Operations: ['47*1=47'] Exploring Operation: 80-4=76, Resulting Numbers: [47, 76] Generated Node #3: [47, 76] from Operation: 80-4=76 Current State: 29:[47, 76], Operations: ['47*1=47', '80-4=76'] Exploring Operation: 76-47=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 61, 8, 36, 6 ]
83
[ "61-8=53", "36-6=30", "53+30=83" ]
Current State: 83:[61, 8, 36, 6], Operations: [] Exploring Operation: 61-8=53, Resulting Numbers: [36, 6, 53] Generated Node #2: [36, 6, 53] from Operation: 61-8=53 Current State: 83:[36, 6, 53], Operations: ['61-8=53'] Exploring Operation: 36-6=30, Resulting Numbers: [53, 30] Generated Node #3: [53, 30] from Operation: 36-6=30 Current State: 83:[53, 30], Operations: ['61-8=53', '36-6=30'] Exploring Operation: 53+30=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 27, 46, 32, 28 ]
41
[ "46-27=19", "32+28=60", "60-19=41" ]
Current State: 41:[27, 46, 32, 28], Operations: [] Exploring Operation: 46-27=19, Resulting Numbers: [32, 28, 19] Generated Node #2: [32, 28, 19] from Operation: 46-27=19 Current State: 41:[32, 28, 19], Operations: ['46-27=19'] Exploring Operation: 32+28=60, Resulting Numbers: [19, 60] Generated Node #3: [19, 60] from Operation: 32+28=60 Current State: 41:[19, 60], Operations: ['46-27=19', '32+28=60'] Exploring Operation: 60-19=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 13, 12, 93, 17 ]
98
[ "13+93=106", "12*17=204", "204-106=98" ]
Current State: 98:[13, 12, 93, 17], Operations: [] Exploring Operation: 13+93=106, Resulting Numbers: [12, 17, 106] Generated Node #2: [12, 17, 106] from Operation: 13+93=106 Current State: 98:[12, 17, 106], Operations: ['13+93=106'] Exploring Operation: 12*17=204, Resulting Numbers: [106, 204] Generated Node #3: [106, 204] from Operation: 12*17=204 Current State: 98:[106, 204], Operations: ['13+93=106', '12*17=204'] Exploring Operation: 204-106=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 94, 80, 68, 57 ]
82
[ "94*57=5358", "80*68=5440", "5440-5358=82" ]
Current State: 82:[94, 80, 68, 57], Operations: [] Exploring Operation: 94*57=5358, Resulting Numbers: [80, 68, 5358] Generated Node #2: [80, 68, 5358] from Operation: 94*57=5358 Current State: 82:[80, 68, 5358], Operations: ['94*57=5358'] Exploring Operation: 80*68=5440, Resulting Numbers: [5358, 5440] Generated Node #3: [5358, 5440] from Operation: 80*68=5440 Current State: 82:[5358, 5440], Operations: ['94*57=5358', '80*68=5440'] Exploring Operation: 5440-5358=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 45, 36, 51, 62 ]
33
[ "62-45=17", "51/17=3", "36-3=33" ]
Current State: 33:[45, 36, 51, 62], Operations: [] Exploring Operation: 62-45=17, Resulting Numbers: [36, 51, 17] Generated Node #2: [36, 51, 17] from Operation: 62-45=17 Current State: 33:[36, 51, 17], Operations: ['62-45=17'] Exploring Operation: 51/17=3, Resulting Numbers: [36, 3] Generated Node #3: [36, 3] from Operation: 51/17=3 Current State: 33:[36, 3], Operations: ['62-45=17', '51/17=3'] Exploring Operation: 36-3=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 70, 13, 3, 76 ]
11
[ "70-3=67", "76+67=143", "143/13=11" ]
Current State: 11:[70, 13, 3, 76], Operations: [] Exploring Operation: 70-3=67, Resulting Numbers: [13, 76, 67] Generated Node #2: [13, 76, 67] from Operation: 70-3=67 Current State: 11:[13, 76, 67], Operations: ['70-3=67'] Exploring Operation: 76+67=143, Resulting Numbers: [13, 143] Generated Node #3: [13, 143] from Operation: 76+67=143 Current State: 11:[13, 143], Operations: ['70-3=67', '76+67=143'] Exploring Operation: 143/13=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 7, 5, 60, 18 ]
55
[ "7+18=25", "25/5=5", "60-5=55" ]
Current State: 55:[7, 5, 60, 18], Operations: [] Exploring Operation: 7+18=25, Resulting Numbers: [5, 60, 25] Generated Node #2: [5, 60, 25] from Operation: 7+18=25 Current State: 55:[5, 60, 25], Operations: ['7+18=25'] Exploring Operation: 25/5=5, Resulting Numbers: [60, 5] Generated Node #3: [60, 5] from Operation: 25/5=5 Current State: 55:[60, 5], Operations: ['7+18=25', '25/5=5'] Exploring Operation: 60-5=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 21, 30, 1, 66 ]
57
[ "30-21=9", "1*66=66", "66-9=57" ]
Current State: 57:[21, 30, 1, 66], Operations: [] Exploring Operation: 30-21=9, Resulting Numbers: [1, 66, 9] Generated Node #2: [1, 66, 9] from Operation: 30-21=9 Current State: 57:[1, 66, 9], Operations: ['30-21=9'] Exploring Operation: 1*66=66, Resulting Numbers: [9, 66] Generated Node #3: [9, 66] from Operation: 1*66=66 Current State: 57:[9, 66], Operations: ['30-21=9', '1*66=66'] Exploring Operation: 66-9=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 46, 27, 35, 45 ]
61
[ "46-27=19", "35+45=80", "80-19=61" ]
Current State: 61:[46, 27, 35, 45], Operations: [] Exploring Operation: 46-27=19, Resulting Numbers: [35, 45, 19] Generated Node #2: [35, 45, 19] from Operation: 46-27=19 Current State: 61:[35, 45, 19], Operations: ['46-27=19'] Exploring Operation: 35+45=80, Resulting Numbers: [19, 80] Generated Node #3: [19, 80] from Operation: 35+45=80 Current State: 61:[19, 80], Operations: ['46-27=19', '35+45=80'] Exploring Operation: 80-19=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 48, 35, 42, 10 ]
88
[ "48-35=13", "10*13=130", "130-42=88" ]
Current State: 88:[48, 35, 42, 10], Operations: [] Exploring Operation: 48-35=13, Resulting Numbers: [42, 10, 13] Generated Node #2: [42, 10, 13] from Operation: 48-35=13 Current State: 88:[42, 10, 13], Operations: ['48-35=13'] Exploring Operation: 10*13=130, Resulting Numbers: [42, 130] Generated Node #3: [42, 130] from Operation: 10*13=130 Current State: 88:[42, 130], Operations: ['48-35=13', '10*13=130'] Exploring Operation: 130-42=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 16, 3, 4, 69 ]
97
[ "16+69=85", "3*4=12", "85+12=97" ]
Current State: 97:[16, 3, 4, 69], Operations: [] Exploring Operation: 16+69=85, Resulting Numbers: [3, 4, 85] Generated Node #2: [3, 4, 85] from Operation: 16+69=85 Current State: 97:[3, 4, 85], Operations: ['16+69=85'] Exploring Operation: 3*4=12, Resulting Numbers: [85, 12] Generated Node #3: [85, 12] from Operation: 3*4=12 Current State: 97:[85, 12], Operations: ['16+69=85', '3*4=12'] Exploring Operation: 85+12=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 14, 69, 86, 2 ]
29
[ "69-14=55", "86-2=84", "84-55=29" ]
Current State: 29:[14, 69, 86, 2], Operations: [] Exploring Operation: 69-14=55, Resulting Numbers: [86, 2, 55] Generated Node #2: [86, 2, 55] from Operation: 69-14=55 Current State: 29:[86, 2, 55], Operations: ['69-14=55'] Exploring Operation: 86-2=84, Resulting Numbers: [55, 84] Generated Node #3: [55, 84] from Operation: 86-2=84 Current State: 29:[55, 84], Operations: ['69-14=55', '86-2=84'] Exploring Operation: 84-55=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 9, 90, 11, 75 ]
84
[ "9+90=99", "99/11=9", "75+9=84" ]
Current State: 84:[9, 90, 11, 75], Operations: [] Exploring Operation: 9+90=99, Resulting Numbers: [11, 75, 99] Generated Node #2: [11, 75, 99] from Operation: 9+90=99 Current State: 84:[11, 75, 99], Operations: ['9+90=99'] Exploring Operation: 99/11=9, Resulting Numbers: [75, 9] Generated Node #3: [75, 9] from Operation: 99/11=9 Current State: 84:[75, 9], Operations: ['9+90=99', '99/11=9'] Exploring Operation: 75+9=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 66, 46, 39, 5 ]
89
[ "66-39=27", "5*27=135", "135-46=89" ]
Current State: 89:[66, 46, 39, 5], Operations: [] Exploring Operation: 66-39=27, Resulting Numbers: [46, 5, 27] Generated Node #2: [46, 5, 27] from Operation: 66-39=27 Current State: 89:[46, 5, 27], Operations: ['66-39=27'] Exploring Operation: 5*27=135, Resulting Numbers: [46, 135] Generated Node #3: [46, 135] from Operation: 5*27=135 Current State: 89:[46, 135], Operations: ['66-39=27', '5*27=135'] Exploring Operation: 135-46=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 87, 13, 52, 65 ]
30
[ "87-52=35", "65/13=5", "35-5=30" ]
Current State: 30:[87, 13, 52, 65], Operations: [] Exploring Operation: 87-52=35, Resulting Numbers: [13, 65, 35] Generated Node #2: [13, 65, 35] from Operation: 87-52=35 Current State: 30:[13, 65, 35], Operations: ['87-52=35'] Exploring Operation: 65/13=5, Resulting Numbers: [35, 5] Generated Node #3: [35, 5] from Operation: 65/13=5 Current State: 30:[35, 5], Operations: ['87-52=35', '65/13=5'] Exploring Operation: 35-5=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 23, 39, 24, 11 ]
50
[ "24-23=1", "39+11=50", "1*50=50" ]
Current State: 50:[23, 39, 24, 11], Operations: [] Exploring Operation: 24-23=1, Resulting Numbers: [39, 11, 1] Generated Node #2: [39, 11, 1] from Operation: 24-23=1 Current State: 50:[39, 11, 1], Operations: ['24-23=1'] Exploring Operation: 39+11=50, Resulting Numbers: [1, 50] Generated Node #3: [1, 50] from Operation: 39+11=50 Current State: 50:[1, 50], Operations: ['24-23=1', '39+11=50'] Exploring Operation: 1*50=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 3, 73, 40, 44 ]
79
[ "73+44=117", "117/3=39", "40+39=79" ]
Current State: 79:[3, 73, 40, 44], Operations: [] Exploring Operation: 73+44=117, Resulting Numbers: [3, 40, 117] Generated Node #2: [3, 40, 117] from Operation: 73+44=117 Current State: 79:[3, 40, 117], Operations: ['73+44=117'] Exploring Operation: 117/3=39, Resulting Numbers: [40, 39] Generated Node #3: [40, 39] from Operation: 117/3=39 Current State: 79:[40, 39], Operations: ['73+44=117', '117/3=39'] Exploring Operation: 40+39=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 67, 94, 99, 93 ]
32
[ "99-67=32", "94-93=1", "32*1=32" ]
Current State: 32:[67, 94, 99, 93], Operations: [] Exploring Operation: 99-67=32, Resulting Numbers: [94, 93, 32] Generated Node #2: [94, 93, 32] from Operation: 99-67=32 Current State: 32:[94, 93, 32], Operations: ['99-67=32'] Exploring Operation: 94-93=1, Resulting Numbers: [32, 1] Generated Node #3: [32, 1] from Operation: 94-93=1 Current State: 32:[32, 1], Operations: ['99-67=32', '94-93=1'] Exploring Operation: 32*1=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 14, 98, 69, 1 ]
61
[ "98/14=7", "69-1=68", "68-7=61" ]
Current State: 61:[14, 98, 69, 1], Operations: [] Exploring Operation: 98/14=7, Resulting Numbers: [69, 1, 7] Generated Node #2: [69, 1, 7] from Operation: 98/14=7 Current State: 61:[69, 1, 7], Operations: ['98/14=7'] Exploring Operation: 69-1=68, Resulting Numbers: [7, 68] Generated Node #3: [7, 68] from Operation: 69-1=68 Current State: 61:[7, 68], Operations: ['98/14=7', '69-1=68'] Exploring Operation: 68-7=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 83, 24, 56, 59 ]
62
[ "83-24=59", "59-56=3", "59+3=62" ]
Current State: 62:[83, 24, 56, 59], Operations: [] Exploring Operation: 83-24=59, Resulting Numbers: [56, 59, 59] Generated Node #2: [56, 59, 59] from Operation: 83-24=59 Current State: 62:[56, 59, 59], Operations: ['83-24=59'] Exploring Operation: 59-56=3, Resulting Numbers: [3] 3,62 equal: Goal Reached Exploring Operation: 59+3=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 15, 76, 25, 5 ]
79
[ "15*5=75", "75/25=3", "76+3=79" ]
Current State: 79:[15, 76, 25, 5], Operations: [] Exploring Operation: 15*5=75, Resulting Numbers: [76, 25, 75] Generated Node #2: [76, 25, 75] from Operation: 15*5=75 Current State: 79:[76, 25, 75], Operations: ['15*5=75'] Exploring Operation: 75/25=3, Resulting Numbers: [76, 3] Generated Node #3: [76, 3] from Operation: 75/25=3 Current State: 79:[76, 3], Operations: ['15*5=75', '75/25=3'] Exploring Operation: 76+3=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 35, 35, 32, 56 ]
89
[ "35/35=1", "32+56=88", "1+88=89" ]
Current State: 89:[35, 35, 32, 56], Operations: [] Exploring Operation: 35/35=1, Resulting Numbers: [32, 56, 1] Generated Node #2: [32, 56, 1] from Operation: 35/35=1 Current State: 89:[32, 56, 1], Operations: ['35/35=1'] Exploring Operation: 32+56=88, Resulting Numbers: [1, 88] Generated Node #3: [1, 88] from Operation: 32+56=88 Current State: 89:[1, 88], Operations: ['35/35=1', '32+56=88'] Exploring Operation: 1+88=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 23, 33, 62, 11 ]
62
[ "33-23=10", "11-10=1", "62*1=62" ]
Current State: 62:[23, 33, 62, 11], Operations: [] Exploring Operation: 33-23=10, Resulting Numbers: [62, 11, 10] Generated Node #2: [62, 11, 10] from Operation: 33-23=10 Current State: 62:[62, 11, 10], Operations: ['33-23=10'] Exploring Operation: 11-10=1, Resulting Numbers: [62, 1] Generated Node #3: [62, 1] from Operation: 11-10=1 Current State: 62:[62, 1], Operations: ['33-23=10', '11-10=1'] Exploring Operation: 62*1=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 56, 62, 69, 31 ]
23
[ "69-62=7", "56/7=8", "31-8=23" ]
Current State: 23:[56, 62, 69, 31], Operations: [] Exploring Operation: 69-62=7, Resulting Numbers: [56, 31, 7] Generated Node #2: [56, 31, 7] from Operation: 69-62=7 Current State: 23:[56, 31, 7], Operations: ['69-62=7'] Exploring Operation: 56/7=8, Resulting Numbers: [31, 8] Generated Node #3: [31, 8] from Operation: 56/7=8 Current State: 23:[31, 8], Operations: ['69-62=7', '56/7=8'] Exploring Operation: 31-8=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 5, 39, 45, 3 ]
82
[ "39-5=34", "45+3=48", "34+48=82" ]
Current State: 82:[5, 39, 45, 3], Operations: [] Exploring Operation: 39-5=34, Resulting Numbers: [45, 3, 34] Generated Node #2: [45, 3, 34] from Operation: 39-5=34 Current State: 82:[45, 3, 34], Operations: ['39-5=34'] Exploring Operation: 45+3=48, Resulting Numbers: [34, 48] Generated Node #3: [34, 48] from Operation: 45+3=48 Current State: 82:[34, 48], Operations: ['39-5=34', '45+3=48'] Exploring Operation: 34+48=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 7, 25, 13, 1 ]
18
[ "7+25=32", "13+1=14", "32-14=18" ]
Current State: 18:[7, 25, 13, 1], Operations: [] Exploring Operation: 7+25=32, Resulting Numbers: [13, 1, 32] Generated Node #2: [13, 1, 32] from Operation: 7+25=32 Current State: 18:[13, 1, 32], Operations: ['7+25=32'] Exploring Operation: 13+1=14, Resulting Numbers: [32, 14] Generated Node #3: [32, 14] from Operation: 13+1=14 Current State: 18:[32, 14], Operations: ['7+25=32', '13+1=14'] Exploring Operation: 32-14=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 83, 87, 5, 4 ]
30
[ "83+87=170", "170/5=34", "34-4=30" ]
Current State: 30:[83, 87, 5, 4], Operations: [] Exploring Operation: 83+87=170, Resulting Numbers: [5, 4, 170] Generated Node #2: [5, 4, 170] from Operation: 83+87=170 Current State: 30:[5, 4, 170], Operations: ['83+87=170'] Exploring Operation: 170/5=34, Resulting Numbers: [4, 34] Generated Node #3: [4, 34] from Operation: 170/5=34 Current State: 30:[4, 34], Operations: ['83+87=170', '170/5=34'] Exploring Operation: 34-4=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 70, 6, 11, 27 ]
92
[ "70+6=76", "27-11=16", "76+16=92" ]
Current State: 92:[70, 6, 11, 27], Operations: [] Exploring Operation: 70+6=76, Resulting Numbers: [11, 27, 76] Generated Node #2: [11, 27, 76] from Operation: 70+6=76 Current State: 92:[11, 27, 76], Operations: ['70+6=76'] Exploring Operation: 27-11=16, Resulting Numbers: [76, 16] Generated Node #3: [76, 16] from Operation: 27-11=16 Current State: 92:[76, 16], Operations: ['70+6=76', '27-11=16'] Exploring Operation: 76+16=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 90, 37, 35, 28 ]
45
[ "37-28=9", "90/9=10", "35+10=45" ]
Current State: 45:[90, 37, 35, 28], Operations: [] Exploring Operation: 37-28=9, Resulting Numbers: [90, 35, 9] Generated Node #2: [90, 35, 9] from Operation: 37-28=9 Current State: 45:[90, 35, 9], Operations: ['37-28=9'] Exploring Operation: 90/9=10, Resulting Numbers: [35, 10] Generated Node #3: [35, 10] from Operation: 90/9=10 Current State: 45:[35, 10], Operations: ['37-28=9', '90/9=10'] Exploring Operation: 35+10=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 81, 32, 57, 23 ]
60
[ "81*23=1863", "57+1863=1920", "1920/32=60" ]
Current State: 60:[81, 32, 57, 23], Operations: [] Exploring Operation: 81*23=1863, Resulting Numbers: [32, 57, 1863] Generated Node #2: [32, 57, 1863] from Operation: 81*23=1863 Current State: 60:[32, 57, 1863], Operations: ['81*23=1863'] Exploring Operation: 57+1863=1920, Resulting Numbers: [32, 1920] Generated Node #3: [32, 1920] from Operation: 57+1863=1920 Current State: 60:[32, 1920], Operations: ['81*23=1863', '57+1863=1920'] Exploring Operation: 1920/32=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 26, 75, 44, 65 ]
60
[ "75-26=49", "44+65=109", "109-49=60" ]
Current State: 60:[26, 75, 44, 65], Operations: [] Exploring Operation: 75-26=49, Resulting Numbers: [44, 65, 49] Generated Node #2: [44, 65, 49] from Operation: 75-26=49 Current State: 60:[44, 65, 49], Operations: ['75-26=49'] Exploring Operation: 44+65=109, Resulting Numbers: [49, 109] Generated Node #3: [49, 109] from Operation: 44+65=109 Current State: 60:[49, 109], Operations: ['75-26=49', '44+65=109'] Exploring Operation: 109-49=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 91, 31, 58, 66 ]
62
[ "91-58=33", "31*66=2046", "2046/33=62" ]
Current State: 62:[91, 31, 58, 66], Operations: [] Exploring Operation: 91-58=33, Resulting Numbers: [31, 66, 33] Generated Node #2: [31, 66, 33] from Operation: 91-58=33 Current State: 62:[31, 66, 33], Operations: ['91-58=33'] Exploring Operation: 31*66=2046, Resulting Numbers: [33, 2046] Generated Node #3: [33, 2046] from Operation: 31*66=2046 Current State: 62:[33, 2046], Operations: ['91-58=33', '31*66=2046'] Exploring Operation: 2046/33=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 67, 84, 43, 13 ]
39
[ "84-67=17", "43+13=56", "56-17=39" ]
Current State: 39:[67, 84, 43, 13], Operations: [] Exploring Operation: 84-67=17, Resulting Numbers: [43, 13, 17] Generated Node #2: [43, 13, 17] from Operation: 84-67=17 Current State: 39:[43, 13, 17], Operations: ['84-67=17'] Exploring Operation: 43+13=56, Resulting Numbers: [17, 56] Generated Node #3: [17, 56] from Operation: 43+13=56 Current State: 39:[17, 56], Operations: ['84-67=17', '43+13=56'] Exploring Operation: 56-17=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 45, 86, 38, 73 ]
17
[ "45*73=3285", "86*38=3268", "3285-3268=17" ]
Current State: 17:[45, 86, 38, 73], Operations: [] Exploring Operation: 45*73=3285, Resulting Numbers: [86, 38, 3285] Generated Node #2: [86, 38, 3285] from Operation: 45*73=3285 Current State: 17:[86, 38, 3285], Operations: ['45*73=3285'] Exploring Operation: 86*38=3268, Resulting Numbers: [3285, 3268] Generated Node #3: [3285, 3268] from Operation: 86*38=3268 Current State: 17:[3285, 3268], Operations: ['45*73=3285', '86*38=3268'] Exploring Operation: 3285-3268=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 20, 74, 51, 9 ]
57
[ "74-20=54", "54/9=6", "51+6=57" ]
Current State: 57:[20, 74, 51, 9], Operations: [] Exploring Operation: 74-20=54, Resulting Numbers: [51, 9, 54] Generated Node #2: [51, 9, 54] from Operation: 74-20=54 Current State: 57:[51, 9, 54], Operations: ['74-20=54'] Exploring Operation: 54/9=6, Resulting Numbers: [51, 6] Generated Node #3: [51, 6] from Operation: 54/9=6 Current State: 57:[51, 6], Operations: ['74-20=54', '54/9=6'] Exploring Operation: 51+6=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 48, 34, 39, 57 ]
64
[ "48+34=82", "57-39=18", "82-18=64" ]
Current State: 64:[48, 34, 39, 57], Operations: [] Exploring Operation: 48+34=82, Resulting Numbers: [39, 57, 82] Generated Node #2: [39, 57, 82] from Operation: 48+34=82 Current State: 64:[39, 57, 82], Operations: ['48+34=82'] Exploring Operation: 57-39=18, Resulting Numbers: [82, 18] Generated Node #3: [82, 18] from Operation: 57-39=18 Current State: 64:[82, 18], Operations: ['48+34=82', '57-39=18'] Exploring Operation: 82-18=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 46, 70, 45, 52 ]
36
[ "52-45=7", "70/7=10", "46-10=36" ]
Current State: 36:[46, 70, 45, 52], Operations: [] Exploring Operation: 52-45=7, Resulting Numbers: [46, 70, 7] Generated Node #2: [46, 70, 7] from Operation: 52-45=7 Current State: 36:[46, 70, 7], Operations: ['52-45=7'] Exploring Operation: 70/7=10, Resulting Numbers: [46, 10] Generated Node #3: [46, 10] from Operation: 70/7=10 Current State: 36:[46, 10], Operations: ['52-45=7', '70/7=10'] Exploring Operation: 46-10=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 23, 63, 96, 51 ]
15
[ "63-51=12", "96/12=8", "23-8=15" ]
Current State: 15:[23, 63, 96, 51], Operations: [] Exploring Operation: 63-51=12, Resulting Numbers: [23, 96, 12] Generated Node #2: [23, 96, 12] from Operation: 63-51=12 Current State: 15:[23, 96, 12], Operations: ['63-51=12'] Exploring Operation: 96/12=8, Resulting Numbers: [23, 8] Generated Node #3: [23, 8] from Operation: 96/12=8 Current State: 15:[23, 8], Operations: ['63-51=12', '96/12=8'] Exploring Operation: 23-8=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 39, 13, 17, 13 ]
57
[ "39+17=56", "13/13=1", "56+1=57" ]
Current State: 57:[39, 13, 17, 13], Operations: [] Exploring Operation: 39+17=56, Resulting Numbers: [13, 13, 56] Generated Node #2: [13, 13, 56] from Operation: 39+17=56 Current State: 57:[13, 13, 56], Operations: ['39+17=56'] Exploring Operation: 13/13=1, Resulting Numbers: [56, 1] Generated Node #3: [56, 1] from Operation: 13/13=1 Current State: 57:[56, 1], Operations: ['39+17=56', '13/13=1'] Exploring Operation: 56+1=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 15, 52, 85, 3 ]
16
[ "52-15=37", "85-37=48", "48/3=16" ]
Current State: 16:[15, 52, 85, 3], Operations: [] Exploring Operation: 52-15=37, Resulting Numbers: [85, 3, 37] Generated Node #2: [85, 3, 37] from Operation: 52-15=37 Current State: 16:[85, 3, 37], Operations: ['52-15=37'] Exploring Operation: 85-37=48, Resulting Numbers: [3, 48] Generated Node #3: [3, 48] from Operation: 85-37=48 Current State: 16:[3, 48], Operations: ['52-15=37', '85-37=48'] Exploring Operation: 48/3=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 54, 23, 64, 2 ]
90
[ "54+23=77", "2*77=154", "154-64=90" ]
Current State: 90:[54, 23, 64, 2], Operations: [] Exploring Operation: 54+23=77, Resulting Numbers: [64, 2, 77] Generated Node #2: [64, 2, 77] from Operation: 54+23=77 Current State: 90:[64, 2, 77], Operations: ['54+23=77'] Exploring Operation: 2*77=154, Resulting Numbers: [64, 154] Generated Node #3: [64, 154] from Operation: 2*77=154 Current State: 90:[64, 154], Operations: ['54+23=77', '2*77=154'] Exploring Operation: 154-64=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 49, 86, 40, 24 ]
81
[ "49+86=135", "24*135=3240", "3240/40=81" ]
Current State: 81:[49, 86, 40, 24], Operations: [] Exploring Operation: 49+86=135, Resulting Numbers: [40, 24, 135] Generated Node #2: [40, 24, 135] from Operation: 49+86=135 Current State: 81:[40, 24, 135], Operations: ['49+86=135'] Exploring Operation: 24*135=3240, Resulting Numbers: [40, 3240] Generated Node #3: [40, 3240] from Operation: 24*135=3240 Current State: 81:[40, 3240], Operations: ['49+86=135', '24*135=3240'] Exploring Operation: 3240/40=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 64, 40, 82, 64 ]
40
[ "64-64=0", "82*0=0", "40+0=40" ]
Current State: 40:[64, 40, 82, 64], Operations: [] Exploring Operation: 64-64=0, Resulting Numbers: [40, 82, 0] Generated Node #2: [40, 82, 0] from Operation: 64-64=0 Current State: 40:[40, 82, 0], Operations: ['64-64=0'] Exploring Operation: 82*0=0, Resulting Numbers: [40, 0] Generated Node #3: [40, 0] from Operation: 82*0=0 Current State: 40:[40, 0], Operations: ['64-64=0', '82*0=0'] Exploring Operation: 40+0=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 80, 45, 56, 25 ]
61
[ "80+45=125", "125/25=5", "56+5=61" ]
Current State: 61:[80, 45, 56, 25], Operations: [] Exploring Operation: 80+45=125, Resulting Numbers: [56, 25, 125] Generated Node #2: [56, 25, 125] from Operation: 80+45=125 Current State: 61:[56, 25, 125], Operations: ['80+45=125'] Exploring Operation: 125/25=5, Resulting Numbers: [56, 5] Generated Node #3: [56, 5] from Operation: 125/25=5 Current State: 61:[56, 5], Operations: ['80+45=125', '125/25=5'] Exploring Operation: 56+5=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 48, 53, 50, 21 ]
31
[ "53-48=5", "50/5=10", "21+10=31" ]
Current State: 31:[48, 53, 50, 21], Operations: [] Exploring Operation: 53-48=5, Resulting Numbers: [50, 21, 5] Generated Node #2: [50, 21, 5] from Operation: 53-48=5 Current State: 31:[50, 21, 5], Operations: ['53-48=5'] Exploring Operation: 50/5=10, Resulting Numbers: [21, 10] Generated Node #3: [21, 10] from Operation: 50/5=10 Current State: 31:[21, 10], Operations: ['53-48=5', '50/5=10'] Exploring Operation: 21+10=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 78, 27, 82, 44 ]
46
[ "78*27=2106", "2106-82=2024", "2024/44=46" ]
Current State: 46:[78, 27, 82, 44], Operations: [] Exploring Operation: 78*27=2106, Resulting Numbers: [82, 44, 2106] Generated Node #2: [82, 44, 2106] from Operation: 78*27=2106 Current State: 46:[82, 44, 2106], Operations: ['78*27=2106'] Exploring Operation: 2106-82=2024, Resulting Numbers: [44, 2024] Generated Node #3: [44, 2024] from Operation: 2106-82=2024 Current State: 46:[44, 2024], Operations: ['78*27=2106', '2106-82=2024'] Exploring Operation: 2024/44=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 16, 52, 6, 24 ]
84
[ "52*24=1248", "1248/16=78", "6+78=84" ]
Current State: 84:[16, 52, 6, 24], Operations: [] Exploring Operation: 52*24=1248, Resulting Numbers: [16, 6, 1248] Generated Node #2: [16, 6, 1248] from Operation: 52*24=1248 Current State: 84:[16, 6, 1248], Operations: ['52*24=1248'] Exploring Operation: 1248/16=78, Resulting Numbers: [6, 78] Generated Node #3: [6, 78] from Operation: 1248/16=78 Current State: 84:[6, 78], Operations: ['52*24=1248', '1248/16=78'] Exploring Operation: 6+78=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 90, 13, 38, 74 ]
70
[ "90-38=52", "52/13=4", "74-4=70" ]
Current State: 70:[90, 13, 38, 74], Operations: [] Exploring Operation: 90-38=52, Resulting Numbers: [13, 74, 52] Generated Node #2: [13, 74, 52] from Operation: 90-38=52 Current State: 70:[13, 74, 52], Operations: ['90-38=52'] Exploring Operation: 52/13=4, Resulting Numbers: [74, 4] Generated Node #3: [74, 4] from Operation: 52/13=4 Current State: 70:[74, 4], Operations: ['90-38=52', '52/13=4'] Exploring Operation: 74-4=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 14, 18, 1, 69 ]
73
[ "18-14=4", "1*69=69", "4+69=73" ]
Current State: 73:[14, 18, 1, 69], Operations: [] Exploring Operation: 18-14=4, Resulting Numbers: [1, 69, 4] Generated Node #2: [1, 69, 4] from Operation: 18-14=4 Current State: 73:[1, 69, 4], Operations: ['18-14=4'] Exploring Operation: 1*69=69, Resulting Numbers: [4, 69] Generated Node #3: [4, 69] from Operation: 1*69=69 Current State: 73:[4, 69], Operations: ['18-14=4', '1*69=69'] Exploring Operation: 4+69=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 5, 21, 7, 89 ]
97
[ "5+89=94", "21/7=3", "94+3=97" ]
Current State: 97:[5, 21, 7, 89], Operations: [] Exploring Operation: 5+89=94, Resulting Numbers: [21, 7, 94] Generated Node #2: [21, 7, 94] from Operation: 5+89=94 Current State: 97:[21, 7, 94], Operations: ['5+89=94'] Exploring Operation: 21/7=3, Resulting Numbers: [94, 3] Generated Node #3: [94, 3] from Operation: 21/7=3 Current State: 97:[94, 3], Operations: ['5+89=94', '21/7=3'] Exploring Operation: 94+3=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 14, 34, 91, 9 ]
34
[ "14+34=48", "91-9=82", "82-48=34" ]
Current State: 34:[14, 34, 91, 9], Operations: [] Exploring Operation: 14+34=48, Resulting Numbers: [91, 9, 48] Generated Node #2: [91, 9, 48] from Operation: 14+34=48 Current State: 34:[91, 9, 48], Operations: ['14+34=48'] Exploring Operation: 91-9=82, Resulting Numbers: [48, 82] Generated Node #3: [48, 82] from Operation: 91-9=82 Current State: 34:[48, 82], Operations: ['14+34=48', '91-9=82'] Exploring Operation: 82-48=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 50, 52, 2, 31 ]
90
[ "50-31=19", "2*19=38", "52+38=90" ]
Current State: 90:[50, 52, 2, 31], Operations: [] Exploring Operation: 50-31=19, Resulting Numbers: [52, 2, 19] Generated Node #2: [52, 2, 19] from Operation: 50-31=19 Current State: 90:[52, 2, 19], Operations: ['50-31=19'] Exploring Operation: 2*19=38, Resulting Numbers: [52, 38] Generated Node #3: [52, 38] from Operation: 2*19=38 Current State: 90:[52, 38], Operations: ['50-31=19', '2*19=38'] Exploring Operation: 52+38=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 89, 2, 80, 40 ]
88
[ "80/2=40", "40/40=1", "89-1=88" ]
Current State: 88:[89, 2, 80, 40], Operations: [] Exploring Operation: 80/2=40, Resulting Numbers: [89, 40, 40] Generated Node #2: [89, 40, 40] from Operation: 80/2=40 Current State: 88:[89, 40, 40], Operations: ['80/2=40'] Exploring Operation: 40/40=1, Resulting Numbers: [89, 1] Generated Node #3: [89, 1] from Operation: 40/40=1 Current State: 88:[89, 1], Operations: ['80/2=40', '40/40=1'] Exploring Operation: 89-1=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 68, 97, 61, 91 ]
84
[ "68-61=7", "91/7=13", "97-13=84" ]
Current State: 84:[68, 97, 61, 91], Operations: [] Exploring Operation: 68-61=7, Resulting Numbers: [97, 91, 7] Generated Node #2: [97, 91, 7] from Operation: 68-61=7 Current State: 84:[97, 91, 7], Operations: ['68-61=7'] Exploring Operation: 91/7=13, Resulting Numbers: [97, 13] Generated Node #3: [97, 13] from Operation: 91/7=13 Current State: 84:[97, 13], Operations: ['68-61=7', '91/7=13'] Exploring Operation: 97-13=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 89, 2, 38, 28 ]
98
[ "89+28=117", "38/2=19", "117-19=98" ]
Current State: 98:[89, 2, 38, 28], Operations: [] Exploring Operation: 89+28=117, Resulting Numbers: [2, 38, 117] Generated Node #2: [2, 38, 117] from Operation: 89+28=117 Current State: 98:[2, 38, 117], Operations: ['89+28=117'] Exploring Operation: 38/2=19, Resulting Numbers: [117, 19] Generated Node #3: [117, 19] from Operation: 38/2=19 Current State: 98:[117, 19], Operations: ['89+28=117', '38/2=19'] Exploring Operation: 117-19=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 32, 49, 88, 98 ]
27
[ "49-32=17", "98-88=10", "17+10=27" ]
Current State: 27:[32, 49, 88, 98], Operations: [] Exploring Operation: 49-32=17, Resulting Numbers: [88, 98, 17] Generated Node #2: [88, 98, 17] from Operation: 49-32=17 Current State: 27:[88, 98, 17], Operations: ['49-32=17'] Exploring Operation: 98-88=10, Resulting Numbers: [17, 10] Generated Node #3: [17, 10] from Operation: 98-88=10 Current State: 27:[17, 10], Operations: ['49-32=17', '98-88=10'] Exploring Operation: 17+10=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 49, 13, 16, 87 ]
67
[ "49-13=36", "16+87=103", "103-36=67" ]
Current State: 67:[49, 13, 16, 87], Operations: [] Exploring Operation: 49-13=36, Resulting Numbers: [16, 87, 36] Generated Node #2: [16, 87, 36] from Operation: 49-13=36 Current State: 67:[16, 87, 36], Operations: ['49-13=36'] Exploring Operation: 16+87=103, Resulting Numbers: [36, 103] Generated Node #3: [36, 103] from Operation: 16+87=103 Current State: 67:[36, 103], Operations: ['49-13=36', '16+87=103'] Exploring Operation: 103-36=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 62, 10, 3, 11 ]
44
[ "62-10=52", "11-3=8", "52-8=44" ]
Current State: 44:[62, 10, 3, 11], Operations: [] Exploring Operation: 62-10=52, Resulting Numbers: [3, 11, 52] Generated Node #2: [3, 11, 52] from Operation: 62-10=52 Current State: 44:[3, 11, 52], Operations: ['62-10=52'] Exploring Operation: 11-3=8, Resulting Numbers: [52, 8] Generated Node #3: [52, 8] from Operation: 11-3=8 Current State: 44:[52, 8], Operations: ['62-10=52', '11-3=8'] Exploring Operation: 52-8=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 75, 26, 65, 35 ]
16
[ "75-35=40", "26*40=1040", "1040/65=16" ]
Current State: 16:[75, 26, 65, 35], Operations: [] Exploring Operation: 75-35=40, Resulting Numbers: [26, 65, 40] Generated Node #2: [26, 65, 40] from Operation: 75-35=40 Current State: 16:[26, 65, 40], Operations: ['75-35=40'] Exploring Operation: 26*40=1040, Resulting Numbers: [65, 1040] Generated Node #3: [65, 1040] from Operation: 26*40=1040 Current State: 16:[65, 1040], Operations: ['75-35=40', '26*40=1040'] Exploring Operation: 1040/65=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 66, 36, 51, 38 ]
76
[ "66+36=102", "102/51=2", "38*2=76" ]
Current State: 76:[66, 36, 51, 38], Operations: [] Exploring Operation: 66+36=102, Resulting Numbers: [51, 38, 102] Generated Node #2: [51, 38, 102] from Operation: 66+36=102 Current State: 76:[51, 38, 102], Operations: ['66+36=102'] Exploring Operation: 102/51=2, Resulting Numbers: [38, 2] Generated Node #3: [38, 2] from Operation: 102/51=2 Current State: 76:[38, 2], Operations: ['66+36=102', '102/51=2'] Exploring Operation: 38*2=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 7, 4, 51, 37 ]
63
[ "51-37=14", "4*14=56", "7+56=63" ]
Current State: 63:[7, 4, 51, 37], Operations: [] Exploring Operation: 51-37=14, Resulting Numbers: [7, 4, 14] Generated Node #2: [7, 4, 14] from Operation: 51-37=14 Current State: 63:[7, 4, 14], Operations: ['51-37=14'] Exploring Operation: 4*14=56, Resulting Numbers: [7, 56] Generated Node #3: [7, 56] from Operation: 4*14=56 Current State: 63:[7, 56], Operations: ['51-37=14', '4*14=56'] Exploring Operation: 7+56=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 25, 60, 16, 88 ]
37
[ "60-25=35", "88-16=72", "72-35=37" ]
Current State: 37:[25, 60, 16, 88], Operations: [] Exploring Operation: 60-25=35, Resulting Numbers: [16, 88, 35] Generated Node #2: [16, 88, 35] from Operation: 60-25=35 Current State: 37:[16, 88, 35], Operations: ['60-25=35'] Exploring Operation: 88-16=72, Resulting Numbers: [35, 72] Generated Node #3: [35, 72] from Operation: 88-16=72 Current State: 37:[35, 72], Operations: ['60-25=35', '88-16=72'] Exploring Operation: 72-35=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 37, 35, 32, 65 ]
74
[ "35+32=67", "67-65=2", "37*2=74" ]
Current State: 74:[37, 35, 32, 65], Operations: [] Exploring Operation: 35+32=67, Resulting Numbers: [37, 65, 67] Generated Node #2: [37, 65, 67] from Operation: 35+32=67 Current State: 74:[37, 65, 67], Operations: ['35+32=67'] Exploring Operation: 67-65=2, Resulting Numbers: [37, 2] Generated Node #3: [37, 2] from Operation: 67-65=2 Current State: 74:[37, 2], Operations: ['35+32=67', '67-65=2'] Exploring Operation: 37*2=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 38, 2, 19, 70 ]
32
[ "38/2=19", "70-19=51", "51-19=32" ]
Current State: 32:[38, 2, 19, 70], Operations: [] Exploring Operation: 38/2=19, Resulting Numbers: [19, 70, 19] Generated Node #2: [19, 70, 19] from Operation: 38/2=19 Current State: 32:[19, 70, 19], Operations: ['38/2=19'] Exploring Operation: 70-19=51, Resulting Numbers: [51] 51,32 equal: Goal Reached Exploring Operation: 51-19=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 4, 84, 54, 26 ]
49
[ "84/4=21", "54-26=28", "21+28=49" ]
Current State: 49:[4, 84, 54, 26], Operations: [] Exploring Operation: 84/4=21, Resulting Numbers: [54, 26, 21] Generated Node #2: [54, 26, 21] from Operation: 84/4=21 Current State: 49:[54, 26, 21], Operations: ['84/4=21'] Exploring Operation: 54-26=28, Resulting Numbers: [21, 28] Generated Node #3: [21, 28] from Operation: 54-26=28 Current State: 49:[21, 28], Operations: ['84/4=21', '54-26=28'] Exploring Operation: 21+28=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 36, 17, 41, 96 ]
32
[ "41-17=24", "96/24=4", "36-4=32" ]
Current State: 32:[36, 17, 41, 96], Operations: [] Exploring Operation: 41-17=24, Resulting Numbers: [36, 96, 24] Generated Node #2: [36, 96, 24] from Operation: 41-17=24 Current State: 32:[36, 96, 24], Operations: ['41-17=24'] Exploring Operation: 96/24=4, Resulting Numbers: [36, 4] Generated Node #3: [36, 4] from Operation: 96/24=4 Current State: 32:[36, 4], Operations: ['41-17=24', '96/24=4'] Exploring Operation: 36-4=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 44, 2, 72, 6 ]
86
[ "44+6=50", "72/2=36", "50+36=86" ]
Current State: 86:[44, 2, 72, 6], Operations: [] Exploring Operation: 44+6=50, Resulting Numbers: [2, 72, 50] Generated Node #2: [2, 72, 50] from Operation: 44+6=50 Current State: 86:[2, 72, 50], Operations: ['44+6=50'] Exploring Operation: 72/2=36, Resulting Numbers: [50, 36] Generated Node #3: [50, 36] from Operation: 72/2=36 Current State: 86:[50, 36], Operations: ['44+6=50', '72/2=36'] Exploring Operation: 50+36=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 99, 52, 44, 63 ]
35
[ "63-52=11", "99/11=9", "44-9=35" ]
Current State: 35:[99, 52, 44, 63], Operations: [] Exploring Operation: 63-52=11, Resulting Numbers: [99, 44, 11] Generated Node #2: [99, 44, 11] from Operation: 63-52=11 Current State: 35:[99, 44, 11], Operations: ['63-52=11'] Exploring Operation: 99/11=9, Resulting Numbers: [44, 9] Generated Node #3: [44, 9] from Operation: 99/11=9 Current State: 35:[44, 9], Operations: ['63-52=11', '99/11=9'] Exploring Operation: 44-9=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 50, 10, 63, 10 ]
30
[ "50+10=60", "63-60=3", "10*3=30" ]
Current State: 30:[50, 10, 63, 10], Operations: [] Exploring Operation: 50+10=60, Resulting Numbers: [63, 60] Generated Node #2: [63, 60] from Operation: 50+10=60 Current State: 30:[63, 60], Operations: ['50+10=60'] Exploring Operation: 63-60=3, Resulting Numbers: [3] 3,30 equal: Goal Reached Exploring Operation: 10*3=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 4, 55, 59, 79 ]
39
[ "4+55=59", "79-59=20", "59-20=39" ]
Current State: 39:[4, 55, 59, 79], Operations: [] Exploring Operation: 4+55=59, Resulting Numbers: [59, 79, 59] Generated Node #2: [59, 79, 59] from Operation: 4+55=59 Current State: 39:[59, 79, 59], Operations: ['4+55=59'] Exploring Operation: 79-59=20, Resulting Numbers: [20] 20,39 equal: Goal Reached Exploring Operation: 59-20=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 87, 5, 13, 85 ]
37
[ "87+13=100", "85+100=185", "185/5=37" ]
Current State: 37:[87, 5, 13, 85], Operations: [] Exploring Operation: 87+13=100, Resulting Numbers: [5, 85, 100] Generated Node #2: [5, 85, 100] from Operation: 87+13=100 Current State: 37:[5, 85, 100], Operations: ['87+13=100'] Exploring Operation: 85+100=185, Resulting Numbers: [5, 185] Generated Node #3: [5, 185] from Operation: 85+100=185 Current State: 37:[5, 185], Operations: ['87+13=100', '85+100=185'] Exploring Operation: 185/5=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 26, 80, 32, 13 ]
78
[ "26*80=2080", "2080/32=65", "13+65=78" ]
Current State: 78:[26, 80, 32, 13], Operations: [] Exploring Operation: 26*80=2080, Resulting Numbers: [32, 13, 2080] Generated Node #2: [32, 13, 2080] from Operation: 26*80=2080 Current State: 78:[32, 13, 2080], Operations: ['26*80=2080'] Exploring Operation: 2080/32=65, Resulting Numbers: [13, 65] Generated Node #3: [13, 65] from Operation: 2080/32=65 Current State: 78:[13, 65], Operations: ['26*80=2080', '2080/32=65'] Exploring Operation: 13+65=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 48, 71, 66, 11 ]
32
[ "71-48=23", "66-11=55", "55-23=32" ]
Current State: 32:[48, 71, 66, 11], Operations: [] Exploring Operation: 71-48=23, Resulting Numbers: [66, 11, 23] Generated Node #2: [66, 11, 23] from Operation: 71-48=23 Current State: 32:[66, 11, 23], Operations: ['71-48=23'] Exploring Operation: 66-11=55, Resulting Numbers: [23, 55] Generated Node #3: [23, 55] from Operation: 66-11=55 Current State: 32:[23, 55], Operations: ['71-48=23', '66-11=55'] Exploring Operation: 55-23=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 19, 69, 59, 59 ]
89
[ "19+69=88", "59/59=1", "88+1=89" ]
Current State: 89:[19, 69, 59, 59], Operations: [] Exploring Operation: 19+69=88, Resulting Numbers: [59, 59, 88] Generated Node #2: [59, 59, 88] from Operation: 19+69=88 Current State: 89:[59, 59, 88], Operations: ['19+69=88'] Exploring Operation: 59/59=1, Resulting Numbers: [88, 1] Generated Node #3: [88, 1] from Operation: 59/59=1 Current State: 89:[88, 1], Operations: ['19+69=88', '59/59=1'] Exploring Operation: 88+1=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 44, 7, 73, 4 ]
75
[ "44-7=37", "4*37=148", "148-73=75" ]
Current State: 75:[44, 7, 73, 4], Operations: [] Exploring Operation: 44-7=37, Resulting Numbers: [73, 4, 37] Generated Node #2: [73, 4, 37] from Operation: 44-7=37 Current State: 75:[73, 4, 37], Operations: ['44-7=37'] Exploring Operation: 4*37=148, Resulting Numbers: [73, 148] Generated Node #3: [73, 148] from Operation: 4*37=148 Current State: 75:[73, 148], Operations: ['44-7=37', '4*37=148'] Exploring Operation: 148-73=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 19, 84, 13, 42 ]
94
[ "84-19=65", "42-13=29", "65+29=94" ]
Current State: 94:[19, 84, 13, 42], Operations: [] Exploring Operation: 84-19=65, Resulting Numbers: [13, 42, 65] Generated Node #2: [13, 42, 65] from Operation: 84-19=65 Current State: 94:[13, 42, 65], Operations: ['84-19=65'] Exploring Operation: 42-13=29, Resulting Numbers: [65, 29] Generated Node #3: [65, 29] from Operation: 42-13=29 Current State: 94:[65, 29], Operations: ['84-19=65', '42-13=29'] Exploring Operation: 65+29=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 4, 5, 25, 52 ]
77
[ "5-4=1", "25+52=77", "1*77=77" ]
Current State: 77:[4, 5, 25, 52], Operations: [] Exploring Operation: 5-4=1, Resulting Numbers: [25, 52, 1] Generated Node #2: [25, 52, 1] from Operation: 5-4=1 Current State: 77:[25, 52, 1], Operations: ['5-4=1'] Exploring Operation: 25+52=77, Resulting Numbers: [1, 77] Generated Node #3: [1, 77] from Operation: 25+52=77 Current State: 77:[1, 77], Operations: ['5-4=1', '25+52=77'] Exploring Operation: 1*77=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 88, 64, 34, 60 ]
90
[ "64-34=30", "60/30=2", "88+2=90" ]
Current State: 90:[88, 64, 34, 60], Operations: [] Exploring Operation: 64-34=30, Resulting Numbers: [88, 60, 30] Generated Node #2: [88, 60, 30] from Operation: 64-34=30 Current State: 90:[88, 60, 30], Operations: ['64-34=30'] Exploring Operation: 60/30=2, Resulting Numbers: [88, 2] Generated Node #3: [88, 2] from Operation: 60/30=2 Current State: 90:[88, 2], Operations: ['64-34=30', '60/30=2'] Exploring Operation: 88+2=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 63, 50, 34, 52 ]
95
[ "63+50=113", "52-34=18", "113-18=95" ]
Current State: 95:[63, 50, 34, 52], Operations: [] Exploring Operation: 63+50=113, Resulting Numbers: [34, 52, 113] Generated Node #2: [34, 52, 113] from Operation: 63+50=113 Current State: 95:[34, 52, 113], Operations: ['63+50=113'] Exploring Operation: 52-34=18, Resulting Numbers: [113, 18] Generated Node #3: [113, 18] from Operation: 52-34=18 Current State: 95:[113, 18], Operations: ['63+50=113', '52-34=18'] Exploring Operation: 113-18=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 72, 71, 2, 79 ]
81
[ "72-71=1", "2+79=81", "1*81=81" ]
Current State: 81:[72, 71, 2, 79], Operations: [] Exploring Operation: 72-71=1, Resulting Numbers: [2, 79, 1] Generated Node #2: [2, 79, 1] from Operation: 72-71=1 Current State: 81:[2, 79, 1], Operations: ['72-71=1'] Exploring Operation: 2+79=81, Resulting Numbers: [1, 81] Generated Node #3: [1, 81] from Operation: 2+79=81 Current State: 81:[1, 81], Operations: ['72-71=1', '2+79=81'] Exploring Operation: 1*81=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 77, 3, 24, 35 ]
52
[ "77-24=53", "3*35=105", "105-53=52" ]
Current State: 52:[77, 3, 24, 35], Operations: [] Exploring Operation: 77-24=53, Resulting Numbers: [3, 35, 53] Generated Node #2: [3, 35, 53] from Operation: 77-24=53 Current State: 52:[3, 35, 53], Operations: ['77-24=53'] Exploring Operation: 3*35=105, Resulting Numbers: [53, 105] Generated Node #3: [53, 105] from Operation: 3*35=105 Current State: 52:[53, 105], Operations: ['77-24=53', '3*35=105'] Exploring Operation: 105-53=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 60, 12, 2, 41 ]
34
[ "60-12=48", "2*41=82", "82-48=34" ]
Current State: 34:[60, 12, 2, 41], Operations: [] Exploring Operation: 60-12=48, Resulting Numbers: [2, 41, 48] Generated Node #2: [2, 41, 48] from Operation: 60-12=48 Current State: 34:[2, 41, 48], Operations: ['60-12=48'] Exploring Operation: 2*41=82, Resulting Numbers: [48, 82] Generated Node #3: [48, 82] from Operation: 2*41=82 Current State: 34:[48, 82], Operations: ['60-12=48', '2*41=82'] Exploring Operation: 82-48=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 28, 1, 87, 19 ]
41
[ "28-1=27", "87-19=68", "68-27=41" ]
Current State: 41:[28, 1, 87, 19], Operations: [] Exploring Operation: 28-1=27, Resulting Numbers: [87, 19, 27] Generated Node #2: [87, 19, 27] from Operation: 28-1=27 Current State: 41:[87, 19, 27], Operations: ['28-1=27'] Exploring Operation: 87-19=68, Resulting Numbers: [27, 68] Generated Node #3: [27, 68] from Operation: 87-19=68 Current State: 41:[27, 68], Operations: ['28-1=27', '87-19=68'] Exploring Operation: 68-27=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 15, 69, 2, 14 ]
95
[ "69-14=55", "2*55=110", "110-15=95" ]
Current State: 95:[15, 69, 2, 14], Operations: [] Exploring Operation: 69-14=55, Resulting Numbers: [15, 2, 55] Generated Node #2: [15, 2, 55] from Operation: 69-14=55 Current State: 95:[15, 2, 55], Operations: ['69-14=55'] Exploring Operation: 2*55=110, Resulting Numbers: [15, 110] Generated Node #3: [15, 110] from Operation: 2*55=110 Current State: 95:[15, 110], Operations: ['69-14=55', '2*55=110'] Exploring Operation: 110-15=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4