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
[ 55, 8, 15, 15 ]
17
[ "55-8=47", "15+15=30", "47-30=17" ]
Current State: 17:[55, 8, 15, 15], Operations: [] Exploring Operation: 55-8=47, Resulting Numbers: [15, 15, 47] Generated Node #2: [15, 15, 47] from Operation: 55-8=47 Current State: 17:[15, 15, 47], Operations: ['55-8=47'] Exploring Operation: 15+15=30, Resulting Numbers: [47, 30] Generated Node #3: [47, 30] from Operation: 15+15=30 Current State: 17:[47, 30], Operations: ['55-8=47', '15+15=30'] Exploring Operation: 47-30=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 81, 1, 86, 17 ]
21
[ "81+1=82", "86+17=103", "103-82=21" ]
Current State: 21:[81, 1, 86, 17], Operations: [] Exploring Operation: 81+1=82, Resulting Numbers: [86, 17, 82] Generated Node #2: [86, 17, 82] from Operation: 81+1=82 Current State: 21:[86, 17, 82], Operations: ['81+1=82'] Exploring Operation: 86+17=103, Resulting Numbers: [82, 103] Generated Node #3: [82, 103] from Operation: 86+17=103 Current State: 21:[82, 103], Operations: ['81+1=82', '86+17=103'] Exploring Operation: 103-82=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 7, 89, 93, 50 ]
39
[ "89-7=82", "93-50=43", "82-43=39" ]
Current State: 39:[7, 89, 93, 50], Operations: [] Exploring Operation: 89-7=82, Resulting Numbers: [93, 50, 82] Generated Node #2: [93, 50, 82] from Operation: 89-7=82 Current State: 39:[93, 50, 82], Operations: ['89-7=82'] Exploring Operation: 93-50=43, Resulting Numbers: [82, 43] Generated Node #3: [82, 43] from Operation: 93-50=43 Current State: 39:[82, 43], Operations: ['89-7=82', '93-50=43'] Exploring Operation: 82-43=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 53, 97, 17, 89 ]
28
[ "97-53=44", "89-17=72", "72-44=28" ]
Current State: 28:[53, 97, 17, 89], Operations: [] Exploring Operation: 97-53=44, Resulting Numbers: [17, 89, 44] Generated Node #2: [17, 89, 44] from Operation: 97-53=44 Current State: 28:[17, 89, 44], Operations: ['97-53=44'] Exploring Operation: 89-17=72, Resulting Numbers: [44, 72] Generated Node #3: [44, 72] from Operation: 89-17=72 Current State: 28:[44, 72], Operations: ['97-53=44', '89-17=72'] Exploring Operation: 72-44=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 33, 31, 39, 22 ]
54
[ "39-33=6", "31-22=9", "6*9=54" ]
Current State: 54:[33, 31, 39, 22], Operations: [] Exploring Operation: 39-33=6, Resulting Numbers: [31, 22, 6] Generated Node #2: [31, 22, 6] from Operation: 39-33=6 Current State: 54:[31, 22, 6], Operations: ['39-33=6'] Exploring Operation: 31-22=9, Resulting Numbers: [6, 9] Generated Node #3: [6, 9] from Operation: 31-22=9 Current State: 54:[6, 9], Operations: ['39-33=6', '31-22=9'] Exploring Operation: 6*9=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 60, 28, 50, 68 ]
86
[ "60-28=32", "50+68=118", "118-32=86" ]
Current State: 86:[60, 28, 50, 68], Operations: [] Exploring Operation: 60-28=32, Resulting Numbers: [50, 68, 32] Generated Node #2: [50, 68, 32] from Operation: 60-28=32 Current State: 86:[50, 68, 32], Operations: ['60-28=32'] Exploring Operation: 50+68=118, Resulting Numbers: [32, 118] Generated Node #3: [32, 118] from Operation: 50+68=118 Current State: 86:[32, 118], Operations: ['60-28=32', '50+68=118'] Exploring Operation: 118-32=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 64, 52, 33, 98 ]
94
[ "64*52=3328", "33*98=3234", "3328-3234=94" ]
Current State: 94:[64, 52, 33, 98], Operations: [] Exploring Operation: 64*52=3328, Resulting Numbers: [33, 98, 3328] Generated Node #2: [33, 98, 3328] from Operation: 64*52=3328 Current State: 94:[33, 98, 3328], Operations: ['64*52=3328'] Exploring Operation: 33*98=3234, Resulting Numbers: [3328, 3234] Generated Node #3: [3328, 3234] from Operation: 33*98=3234 Current State: 94:[3328, 3234], Operations: ['64*52=3328', '33*98=3234'] Exploring Operation: 3328-3234=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 60, 97, 78, 93 ]
93
[ "97-93=4", "60/4=15", "78+15=93" ]
Current State: 93:[60, 97, 78, 93], Operations: [] Exploring Operation: 97-93=4, Resulting Numbers: [60, 78, 4] Generated Node #2: [60, 78, 4] from Operation: 97-93=4 Current State: 93:[60, 78, 4], Operations: ['97-93=4'] Exploring Operation: 60/4=15, Resulting Numbers: [78, 15] Generated Node #3: [78, 15] from Operation: 60/4=15 Current State: 93:[78, 15], Operations: ['97-93=4', '60/4=15'] Exploring Operation: 78+15=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 94, 5, 27, 7 ]
98
[ "27-7=20", "20/5=4", "94+4=98" ]
Current State: 98:[94, 5, 27, 7], Operations: [] Exploring Operation: 27-7=20, Resulting Numbers: [94, 5, 20] Generated Node #2: [94, 5, 20] from Operation: 27-7=20 Current State: 98:[94, 5, 20], Operations: ['27-7=20'] Exploring Operation: 20/5=4, Resulting Numbers: [94, 4] Generated Node #3: [94, 4] from Operation: 20/5=4 Current State: 98:[94, 4], Operations: ['27-7=20', '20/5=4'] Exploring Operation: 94+4=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 16, 45, 30, 64 ]
27
[ "16+45=61", "64-30=34", "61-34=27" ]
Current State: 27:[16, 45, 30, 64], Operations: [] Exploring Operation: 16+45=61, Resulting Numbers: [30, 64, 61] Generated Node #2: [30, 64, 61] from Operation: 16+45=61 Current State: 27:[30, 64, 61], Operations: ['16+45=61'] Exploring Operation: 64-30=34, Resulting Numbers: [61, 34] Generated Node #3: [61, 34] from Operation: 64-30=34 Current State: 27:[61, 34], Operations: ['16+45=61', '64-30=34'] Exploring Operation: 61-34=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 2, 45, 5, 80 ]
17
[ "80/2=40", "45+40=85", "85/5=17" ]
Current State: 17:[2, 45, 5, 80], Operations: [] Exploring Operation: 80/2=40, Resulting Numbers: [45, 5, 40] Generated Node #2: [45, 5, 40] from Operation: 80/2=40 Current State: 17:[45, 5, 40], Operations: ['80/2=40'] Exploring Operation: 45+40=85, Resulting Numbers: [5, 85] Generated Node #3: [5, 85] from Operation: 45+40=85 Current State: 17:[5, 85], Operations: ['80/2=40', '45+40=85'] Exploring Operation: 85/5=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 89, 41, 23, 28 ]
79
[ "89+41=130", "23+28=51", "130-51=79" ]
Current State: 79:[89, 41, 23, 28], Operations: [] Exploring Operation: 89+41=130, Resulting Numbers: [23, 28, 130] Generated Node #2: [23, 28, 130] from Operation: 89+41=130 Current State: 79:[23, 28, 130], Operations: ['89+41=130'] Exploring Operation: 23+28=51, Resulting Numbers: [130, 51] Generated Node #3: [130, 51] from Operation: 23+28=51 Current State: 79:[130, 51], Operations: ['89+41=130', '23+28=51'] Exploring Operation: 130-51=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 77, 10, 35, 77 ]
46
[ "77/77=1", "10+35=45", "1+45=46" ]
Current State: 46:[77, 10, 35, 77], Operations: [] Exploring Operation: 77/77=1, Resulting Numbers: [10, 35, 1] Generated Node #2: [10, 35, 1] from Operation: 77/77=1 Current State: 46:[10, 35, 1], Operations: ['77/77=1'] Exploring Operation: 10+35=45, Resulting Numbers: [1, 45] Generated Node #3: [1, 45] from Operation: 10+35=45 Current State: 46:[1, 45], Operations: ['77/77=1', '10+35=45'] Exploring Operation: 1+45=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 5, 8, 53, 59 ]
50
[ "53-8=45", "45/5=9", "59-9=50" ]
Current State: 50:[5, 8, 53, 59], Operations: [] Exploring Operation: 53-8=45, Resulting Numbers: [5, 59, 45] Generated Node #2: [5, 59, 45] from Operation: 53-8=45 Current State: 50:[5, 59, 45], Operations: ['53-8=45'] Exploring Operation: 45/5=9, Resulting Numbers: [59, 9] Generated Node #3: [59, 9] from Operation: 45/5=9 Current State: 50:[59, 9], Operations: ['53-8=45', '45/5=9'] Exploring Operation: 59-9=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 68, 60, 38, 85 ]
83
[ "68-38=30", "60/30=2", "85-2=83" ]
Current State: 83:[68, 60, 38, 85], Operations: [] Exploring Operation: 68-38=30, Resulting Numbers: [60, 85, 30] Generated Node #2: [60, 85, 30] from Operation: 68-38=30 Current State: 83:[60, 85, 30], Operations: ['68-38=30'] Exploring Operation: 60/30=2, Resulting Numbers: [85, 2] Generated Node #3: [85, 2] from Operation: 60/30=2 Current State: 83:[85, 2], Operations: ['68-38=30', '60/30=2'] Exploring Operation: 85-2=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 41, 5, 10, 39 ]
37
[ "10/5=2", "39*2=78", "78-41=37" ]
Current State: 37:[41, 5, 10, 39], Operations: [] Exploring Operation: 10/5=2, Resulting Numbers: [41, 39, 2] Generated Node #2: [41, 39, 2] from Operation: 10/5=2 Current State: 37:[41, 39, 2], Operations: ['10/5=2'] Exploring Operation: 39*2=78, Resulting Numbers: [41, 78] Generated Node #3: [41, 78] from Operation: 39*2=78 Current State: 37:[41, 78], Operations: ['10/5=2', '39*2=78'] Exploring Operation: 78-41=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 5, 1, 20, 70 ]
31
[ "5*20=100", "70-1=69", "100-69=31" ]
Current State: 31:[5, 1, 20, 70], Operations: [] Exploring Operation: 5*20=100, Resulting Numbers: [1, 70, 100] Generated Node #2: [1, 70, 100] from Operation: 5*20=100 Current State: 31:[1, 70, 100], Operations: ['5*20=100'] Exploring Operation: 70-1=69, Resulting Numbers: [100, 69] Generated Node #3: [100, 69] from Operation: 70-1=69 Current State: 31:[100, 69], Operations: ['5*20=100', '70-1=69'] Exploring Operation: 100-69=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 70, 26, 12, 22 ]
37
[ "70*12=840", "840-26=814", "814/22=37" ]
Current State: 37:[70, 26, 12, 22], Operations: [] Exploring Operation: 70*12=840, Resulting Numbers: [26, 22, 840] Generated Node #2: [26, 22, 840] from Operation: 70*12=840 Current State: 37:[26, 22, 840], Operations: ['70*12=840'] Exploring Operation: 840-26=814, Resulting Numbers: [22, 814] Generated Node #3: [22, 814] from Operation: 840-26=814 Current State: 37:[22, 814], Operations: ['70*12=840', '840-26=814'] Exploring Operation: 814/22=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 95, 86, 2, 94 ]
76
[ "95-86=9", "2*9=18", "94-18=76" ]
Current State: 76:[95, 86, 2, 94], Operations: [] Exploring Operation: 95-86=9, Resulting Numbers: [2, 94, 9] Generated Node #2: [2, 94, 9] from Operation: 95-86=9 Current State: 76:[2, 94, 9], Operations: ['95-86=9'] Exploring Operation: 2*9=18, Resulting Numbers: [94, 18] Generated Node #3: [94, 18] from Operation: 2*9=18 Current State: 76:[94, 18], Operations: ['95-86=9', '2*9=18'] Exploring Operation: 94-18=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 65, 60, 53, 78 ]
91
[ "78-65=13", "60-53=7", "13*7=91" ]
Current State: 91:[65, 60, 53, 78], Operations: [] Exploring Operation: 78-65=13, Resulting Numbers: [60, 53, 13] Generated Node #2: [60, 53, 13] from Operation: 78-65=13 Current State: 91:[60, 53, 13], Operations: ['78-65=13'] Exploring Operation: 60-53=7, Resulting Numbers: [13, 7] Generated Node #3: [13, 7] from Operation: 60-53=7 Current State: 91:[13, 7], Operations: ['78-65=13', '60-53=7'] Exploring Operation: 13*7=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 46, 59, 33, 48 ]
52
[ "48-46=2", "59-33=26", "2*26=52" ]
Current State: 52:[46, 59, 33, 48], Operations: [] Exploring Operation: 48-46=2, Resulting Numbers: [59, 33, 2] Generated Node #2: [59, 33, 2] from Operation: 48-46=2 Current State: 52:[59, 33, 2], Operations: ['48-46=2'] Exploring Operation: 59-33=26, Resulting Numbers: [2, 26] Generated Node #3: [2, 26] from Operation: 59-33=26 Current State: 52:[2, 26], Operations: ['48-46=2', '59-33=26'] Exploring Operation: 2*26=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 61, 49, 8, 51 ]
11
[ "61*8=488", "51+488=539", "539/49=11" ]
Current State: 11:[61, 49, 8, 51], Operations: [] Exploring Operation: 61*8=488, Resulting Numbers: [49, 51, 488] Generated Node #2: [49, 51, 488] from Operation: 61*8=488 Current State: 11:[49, 51, 488], Operations: ['61*8=488'] Exploring Operation: 51+488=539, Resulting Numbers: [49, 539] Generated Node #3: [49, 539] from Operation: 51+488=539 Current State: 11:[49, 539], Operations: ['61*8=488', '51+488=539'] Exploring Operation: 539/49=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 64, 71, 22, 17 ]
87
[ "64*22=1408", "71+1408=1479", "1479/17=87" ]
Current State: 87:[64, 71, 22, 17], Operations: [] Exploring Operation: 64*22=1408, Resulting Numbers: [71, 17, 1408] Generated Node #2: [71, 17, 1408] from Operation: 64*22=1408 Current State: 87:[71, 17, 1408], Operations: ['64*22=1408'] Exploring Operation: 71+1408=1479, Resulting Numbers: [17, 1479] Generated Node #3: [17, 1479] from Operation: 71+1408=1479 Current State: 87:[17, 1479], Operations: ['64*22=1408', '71+1408=1479'] Exploring Operation: 1479/17=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 90, 16, 27, 32 ]
36
[ "32/16=2", "27*2=54", "90-54=36" ]
Current State: 36:[90, 16, 27, 32], Operations: [] Exploring Operation: 32/16=2, Resulting Numbers: [90, 27, 2] Generated Node #2: [90, 27, 2] from Operation: 32/16=2 Current State: 36:[90, 27, 2], Operations: ['32/16=2'] Exploring Operation: 27*2=54, Resulting Numbers: [90, 54] Generated Node #3: [90, 54] from Operation: 27*2=54 Current State: 36:[90, 54], Operations: ['32/16=2', '27*2=54'] Exploring Operation: 90-54=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 28, 33, 85, 54 ]
92
[ "28+33=61", "85-54=31", "61+31=92" ]
Current State: 92:[28, 33, 85, 54], Operations: [] Exploring Operation: 28+33=61, Resulting Numbers: [85, 54, 61] Generated Node #2: [85, 54, 61] from Operation: 28+33=61 Current State: 92:[85, 54, 61], Operations: ['28+33=61'] Exploring Operation: 85-54=31, Resulting Numbers: [61, 31] Generated Node #3: [61, 31] from Operation: 85-54=31 Current State: 92:[61, 31], Operations: ['28+33=61', '85-54=31'] Exploring Operation: 61+31=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 80, 6, 1, 9 ]
35
[ "6-1=5", "9*5=45", "80-45=35" ]
Current State: 35:[80, 6, 1, 9], Operations: [] Exploring Operation: 6-1=5, Resulting Numbers: [80, 9, 5] Generated Node #2: [80, 9, 5] from Operation: 6-1=5 Current State: 35:[80, 9, 5], Operations: ['6-1=5'] Exploring Operation: 9*5=45, Resulting Numbers: [80, 45] Generated Node #3: [80, 45] from Operation: 9*5=45 Current State: 35:[80, 45], Operations: ['6-1=5', '9*5=45'] Exploring Operation: 80-45=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 69, 71, 89, 66 ]
56
[ "71-69=2", "66/2=33", "89-33=56" ]
Current State: 56:[69, 71, 89, 66], Operations: [] Exploring Operation: 71-69=2, Resulting Numbers: [89, 66, 2] Generated Node #2: [89, 66, 2] from Operation: 71-69=2 Current State: 56:[89, 66, 2], Operations: ['71-69=2'] Exploring Operation: 66/2=33, Resulting Numbers: [89, 33] Generated Node #3: [89, 33] from Operation: 66/2=33 Current State: 56:[89, 33], Operations: ['71-69=2', '66/2=33'] Exploring Operation: 89-33=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 56, 7, 46, 91 ]
88
[ "56-7=49", "46+91=137", "137-49=88" ]
Current State: 88:[56, 7, 46, 91], Operations: [] Exploring Operation: 56-7=49, Resulting Numbers: [46, 91, 49] Generated Node #2: [46, 91, 49] from Operation: 56-7=49 Current State: 88:[46, 91, 49], Operations: ['56-7=49'] Exploring Operation: 46+91=137, Resulting Numbers: [49, 137] Generated Node #3: [49, 137] from Operation: 46+91=137 Current State: 88:[49, 137], Operations: ['56-7=49', '46+91=137'] Exploring Operation: 137-49=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 99, 8, 63, 23 ]
94
[ "63-23=40", "40/8=5", "99-5=94" ]
Current State: 94:[99, 8, 63, 23], Operations: [] Exploring Operation: 63-23=40, Resulting Numbers: [99, 8, 40] Generated Node #2: [99, 8, 40] from Operation: 63-23=40 Current State: 94:[99, 8, 40], Operations: ['63-23=40'] Exploring Operation: 40/8=5, Resulting Numbers: [99, 5] Generated Node #3: [99, 5] from Operation: 40/8=5 Current State: 94:[99, 5], Operations: ['63-23=40', '40/8=5'] Exploring Operation: 99-5=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 90, 42, 28, 61 ]
81
[ "90-42=48", "61-28=33", "48+33=81" ]
Current State: 81:[90, 42, 28, 61], Operations: [] Exploring Operation: 90-42=48, Resulting Numbers: [28, 61, 48] Generated Node #2: [28, 61, 48] from Operation: 90-42=48 Current State: 81:[28, 61, 48], Operations: ['90-42=48'] Exploring Operation: 61-28=33, Resulting Numbers: [48, 33] Generated Node #3: [48, 33] from Operation: 61-28=33 Current State: 81:[48, 33], Operations: ['90-42=48', '61-28=33'] Exploring Operation: 48+33=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 57, 9, 21, 59 ]
24
[ "59-57=2", "21-9=12", "2*12=24" ]
Current State: 24:[57, 9, 21, 59], Operations: [] Exploring Operation: 59-57=2, Resulting Numbers: [9, 21, 2] Generated Node #2: [9, 21, 2] from Operation: 59-57=2 Current State: 24:[9, 21, 2], Operations: ['59-57=2'] Exploring Operation: 21-9=12, Resulting Numbers: [2, 12] Generated Node #3: [2, 12] from Operation: 21-9=12 Current State: 24:[2, 12], Operations: ['59-57=2', '21-9=12'] Exploring Operation: 2*12=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 27, 61, 82, 34 ]
14
[ "61-27=34", "82-34=48", "48-34=14" ]
Current State: 14:[27, 61, 82, 34], Operations: [] Exploring Operation: 61-27=34, Resulting Numbers: [82, 34, 34] Generated Node #2: [82, 34, 34] from Operation: 61-27=34 Current State: 14:[82, 34, 34], Operations: ['61-27=34'] Exploring Operation: 82-34=48, Resulting Numbers: [48] 48,14 equal: Goal Reached Exploring Operation: 48-34=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 19, 64, 81, 28 ]
98
[ "64-19=45", "81-28=53", "45+53=98" ]
Current State: 98:[19, 64, 81, 28], Operations: [] Exploring Operation: 64-19=45, Resulting Numbers: [81, 28, 45] Generated Node #2: [81, 28, 45] from Operation: 64-19=45 Current State: 98:[81, 28, 45], Operations: ['64-19=45'] Exploring Operation: 81-28=53, Resulting Numbers: [45, 53] Generated Node #3: [45, 53] from Operation: 81-28=53 Current State: 98:[45, 53], Operations: ['64-19=45', '81-28=53'] Exploring Operation: 45+53=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 14, 6, 3, 25 ]
69
[ "25-14=11", "6*11=66", "3+66=69" ]
Current State: 69:[14, 6, 3, 25], Operations: [] Exploring Operation: 25-14=11, Resulting Numbers: [6, 3, 11] Generated Node #2: [6, 3, 11] from Operation: 25-14=11 Current State: 69:[6, 3, 11], Operations: ['25-14=11'] Exploring Operation: 6*11=66, Resulting Numbers: [3, 66] Generated Node #3: [3, 66] from Operation: 6*11=66 Current State: 69:[3, 66], Operations: ['25-14=11', '6*11=66'] Exploring Operation: 3+66=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 78, 33, 78, 84 ]
39
[ "78-33=45", "84-78=6", "45-6=39" ]
Current State: 39:[78, 33, 78, 84], Operations: [] Exploring Operation: 78-33=45, Resulting Numbers: [84, 45] Generated Node #2: [84, 45] from Operation: 78-33=45 Current State: 39:[84, 45], Operations: ['78-33=45'] Exploring Operation: 84-78=6, Resulting Numbers: [45, 6] Generated Node #3: [45, 6] from Operation: 84-78=6 Current State: 39:[45, 6], Operations: ['78-33=45', '84-78=6'] Exploring Operation: 45-6=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 14, 3, 37, 24 ]
41
[ "14+37=51", "51/3=17", "24+17=41" ]
Current State: 41:[14, 3, 37, 24], Operations: [] Exploring Operation: 14+37=51, Resulting Numbers: [3, 24, 51] Generated Node #2: [3, 24, 51] from Operation: 14+37=51 Current State: 41:[3, 24, 51], Operations: ['14+37=51'] Exploring Operation: 51/3=17, Resulting Numbers: [24, 17] Generated Node #3: [24, 17] from Operation: 51/3=17 Current State: 41:[24, 17], Operations: ['14+37=51', '51/3=17'] Exploring Operation: 24+17=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 3, 69, 3, 60 ]
49
[ "3*69=207", "207-60=147", "147/3=49" ]
Current State: 49:[3, 69, 3, 60], Operations: [] Exploring Operation: 3*69=207, Resulting Numbers: [60, 207] Generated Node #2: [60, 207] from Operation: 3*69=207 Current State: 49:[60, 207], Operations: ['3*69=207'] Exploring Operation: 207-60=147, Resulting Numbers: [147] 147,49 equal: Goal Reached Exploring Operation: 147/3=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 6, 93, 2, 89 ]
97
[ "6+89=95", "2*95=190", "190-93=97" ]
Current State: 97:[6, 93, 2, 89], Operations: [] Exploring Operation: 6+89=95, Resulting Numbers: [93, 2, 95] Generated Node #2: [93, 2, 95] from Operation: 6+89=95 Current State: 97:[93, 2, 95], Operations: ['6+89=95'] Exploring Operation: 2*95=190, Resulting Numbers: [93, 190] Generated Node #3: [93, 190] from Operation: 2*95=190 Current State: 97:[93, 190], Operations: ['6+89=95', '2*95=190'] Exploring Operation: 190-93=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 32, 15, 35, 81 ]
93
[ "32+15=47", "81-35=46", "47+46=93" ]
Current State: 93:[32, 15, 35, 81], Operations: [] Exploring Operation: 32+15=47, Resulting Numbers: [35, 81, 47] Generated Node #2: [35, 81, 47] from Operation: 32+15=47 Current State: 93:[35, 81, 47], Operations: ['32+15=47'] Exploring Operation: 81-35=46, Resulting Numbers: [47, 46] Generated Node #3: [47, 46] from Operation: 81-35=46 Current State: 93:[47, 46], Operations: ['32+15=47', '81-35=46'] Exploring Operation: 47+46=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 49, 5, 68, 39 ]
51
[ "39-5=34", "68/34=2", "49+2=51" ]
Current State: 51:[49, 5, 68, 39], Operations: [] Exploring Operation: 39-5=34, Resulting Numbers: [49, 68, 34] Generated Node #2: [49, 68, 34] from Operation: 39-5=34 Current State: 51:[49, 68, 34], Operations: ['39-5=34'] Exploring Operation: 68/34=2, Resulting Numbers: [49, 2] Generated Node #3: [49, 2] from Operation: 68/34=2 Current State: 51:[49, 2], Operations: ['39-5=34', '68/34=2'] Exploring Operation: 49+2=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 37, 42, 71, 19 ]
18
[ "42-37=5", "71+19=90", "90/5=18" ]
Current State: 18:[37, 42, 71, 19], Operations: [] Exploring Operation: 42-37=5, Resulting Numbers: [71, 19, 5] Generated Node #2: [71, 19, 5] from Operation: 42-37=5 Current State: 18:[71, 19, 5], Operations: ['42-37=5'] Exploring Operation: 71+19=90, Resulting Numbers: [5, 90] Generated Node #3: [5, 90] from Operation: 71+19=90 Current State: 18:[5, 90], Operations: ['42-37=5', '71+19=90'] Exploring Operation: 90/5=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 98, 48, 42, 78 ]
95
[ "48+78=126", "126/42=3", "98-3=95" ]
Current State: 95:[98, 48, 42, 78], Operations: [] Exploring Operation: 48+78=126, Resulting Numbers: [98, 42, 126] Generated Node #2: [98, 42, 126] from Operation: 48+78=126 Current State: 95:[98, 42, 126], Operations: ['48+78=126'] Exploring Operation: 126/42=3, Resulting Numbers: [98, 3] Generated Node #3: [98, 3] from Operation: 126/42=3 Current State: 95:[98, 3], Operations: ['48+78=126', '126/42=3'] Exploring Operation: 98-3=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 38, 72, 8, 45 ]
88
[ "72-38=34", "45-34=11", "8*11=88" ]
Current State: 88:[38, 72, 8, 45], Operations: [] Exploring Operation: 72-38=34, Resulting Numbers: [8, 45, 34] Generated Node #2: [8, 45, 34] from Operation: 72-38=34 Current State: 88:[8, 45, 34], Operations: ['72-38=34'] Exploring Operation: 45-34=11, Resulting Numbers: [8, 11] Generated Node #3: [8, 11] from Operation: 45-34=11 Current State: 88:[8, 11], Operations: ['72-38=34', '45-34=11'] Exploring Operation: 8*11=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 23, 61, 74, 14 ]
80
[ "23+61=84", "84/14=6", "74+6=80" ]
Current State: 80:[23, 61, 74, 14], Operations: [] Exploring Operation: 23+61=84, Resulting Numbers: [74, 14, 84] Generated Node #2: [74, 14, 84] from Operation: 23+61=84 Current State: 80:[74, 14, 84], Operations: ['23+61=84'] Exploring Operation: 84/14=6, Resulting Numbers: [74, 6] Generated Node #3: [74, 6] from Operation: 84/14=6 Current State: 80:[74, 6], Operations: ['23+61=84', '84/14=6'] Exploring Operation: 74+6=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 36, 94, 35, 49 ]
72
[ "94-36=58", "49-35=14", "58+14=72" ]
Current State: 72:[36, 94, 35, 49], Operations: [] Exploring Operation: 94-36=58, Resulting Numbers: [35, 49, 58] Generated Node #2: [35, 49, 58] from Operation: 94-36=58 Current State: 72:[35, 49, 58], Operations: ['94-36=58'] Exploring Operation: 49-35=14, Resulting Numbers: [58, 14] Generated Node #3: [58, 14] from Operation: 49-35=14 Current State: 72:[58, 14], Operations: ['94-36=58', '49-35=14'] Exploring Operation: 58+14=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 72, 66, 6, 12 ]
77
[ "66-6=60", "60/12=5", "72+5=77" ]
Current State: 77:[72, 66, 6, 12], Operations: [] Exploring Operation: 66-6=60, Resulting Numbers: [72, 12, 60] Generated Node #2: [72, 12, 60] from Operation: 66-6=60 Current State: 77:[72, 12, 60], Operations: ['66-6=60'] Exploring Operation: 60/12=5, Resulting Numbers: [72, 5] Generated Node #3: [72, 5] from Operation: 60/12=5 Current State: 77:[72, 5], Operations: ['66-6=60', '60/12=5'] Exploring Operation: 72+5=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 7, 11, 5, 10 ]
38
[ "7+10=17", "11*5=55", "55-17=38" ]
Current State: 38:[7, 11, 5, 10], Operations: [] Exploring Operation: 7+10=17, Resulting Numbers: [11, 5, 17] Generated Node #2: [11, 5, 17] from Operation: 7+10=17 Current State: 38:[11, 5, 17], Operations: ['7+10=17'] Exploring Operation: 11*5=55, Resulting Numbers: [17, 55] Generated Node #3: [17, 55] from Operation: 11*5=55 Current State: 38:[17, 55], Operations: ['7+10=17', '11*5=55'] Exploring Operation: 55-17=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 3, 2, 43, 20 ]
69
[ "3*2=6", "43+20=63", "6+63=69" ]
Current State: 69:[3, 2, 43, 20], Operations: [] Exploring Operation: 3*2=6, Resulting Numbers: [43, 20, 6] Generated Node #2: [43, 20, 6] from Operation: 3*2=6 Current State: 69:[43, 20, 6], Operations: ['3*2=6'] Exploring Operation: 43+20=63, Resulting Numbers: [6, 63] Generated Node #3: [6, 63] from Operation: 43+20=63 Current State: 69:[6, 63], Operations: ['3*2=6', '43+20=63'] Exploring Operation: 6+63=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 30, 50, 10, 60 ]
46
[ "30*60=1800", "1800/50=36", "10+36=46" ]
Current State: 46:[30, 50, 10, 60], Operations: [] Exploring Operation: 30*60=1800, Resulting Numbers: [50, 10, 1800] Generated Node #2: [50, 10, 1800] from Operation: 30*60=1800 Current State: 46:[50, 10, 1800], Operations: ['30*60=1800'] Exploring Operation: 1800/50=36, Resulting Numbers: [10, 36] Generated Node #3: [10, 36] from Operation: 1800/50=36 Current State: 46:[10, 36], Operations: ['30*60=1800', '1800/50=36'] Exploring Operation: 10+36=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 57, 38, 34, 2 ]
27
[ "57+38=95", "34*2=68", "95-68=27" ]
Current State: 27:[57, 38, 34, 2], Operations: [] Exploring Operation: 57+38=95, Resulting Numbers: [34, 2, 95] Generated Node #2: [34, 2, 95] from Operation: 57+38=95 Current State: 27:[34, 2, 95], Operations: ['57+38=95'] Exploring Operation: 34*2=68, Resulting Numbers: [95, 68] Generated Node #3: [95, 68] from Operation: 34*2=68 Current State: 27:[95, 68], Operations: ['57+38=95', '34*2=68'] Exploring Operation: 95-68=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 34, 72, 40, 52 ]
46
[ "34*52=1768", "72+1768=1840", "1840/40=46" ]
Current State: 46:[34, 72, 40, 52], Operations: [] Exploring Operation: 34*52=1768, Resulting Numbers: [72, 40, 1768] Generated Node #2: [72, 40, 1768] from Operation: 34*52=1768 Current State: 46:[72, 40, 1768], Operations: ['34*52=1768'] Exploring Operation: 72+1768=1840, Resulting Numbers: [40, 1840] Generated Node #3: [40, 1840] from Operation: 72+1768=1840 Current State: 46:[40, 1840], Operations: ['34*52=1768', '72+1768=1840'] Exploring Operation: 1840/40=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 92, 93, 82, 29 ]
11
[ "92+29=121", "93-82=11", "121/11=11" ]
Current State: 11:[92, 93, 82, 29], Operations: [] Exploring Operation: 92+29=121, Resulting Numbers: [93, 82, 121] Generated Node #2: [93, 82, 121] from Operation: 92+29=121 Current State: 11:[93, 82, 121], Operations: ['92+29=121'] Exploring Operation: 93-82=11, Resulting Numbers: [121, 11] Generated Node #3: [121, 11] from Operation: 93-82=11 Current State: 11:[121, 11], Operations: ['92+29=121', '93-82=11'] Exploring Operation: 121/11=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 55, 66, 47, 33 ]
39
[ "66*47=3102", "3102/33=94", "94-55=39" ]
Current State: 39:[55, 66, 47, 33], Operations: [] Exploring Operation: 66*47=3102, Resulting Numbers: [55, 33, 3102] Generated Node #2: [55, 33, 3102] from Operation: 66*47=3102 Current State: 39:[55, 33, 3102], Operations: ['66*47=3102'] Exploring Operation: 3102/33=94, Resulting Numbers: [55, 94] Generated Node #3: [55, 94] from Operation: 3102/33=94 Current State: 39:[55, 94], Operations: ['66*47=3102', '3102/33=94'] Exploring Operation: 94-55=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 2, 68, 29, 6 ]
40
[ "68-2=66", "66/6=11", "29+11=40" ]
Current State: 40:[2, 68, 29, 6], Operations: [] Exploring Operation: 68-2=66, Resulting Numbers: [29, 6, 66] Generated Node #2: [29, 6, 66] from Operation: 68-2=66 Current State: 40:[29, 6, 66], Operations: ['68-2=66'] Exploring Operation: 66/6=11, Resulting Numbers: [29, 11] Generated Node #3: [29, 11] from Operation: 66/6=11 Current State: 40:[29, 11], Operations: ['68-2=66', '66/6=11'] Exploring Operation: 29+11=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 85, 14, 92, 84 ]
27
[ "92-84=8", "14*8=112", "112-85=27" ]
Current State: 27:[85, 14, 92, 84], Operations: [] Exploring Operation: 92-84=8, Resulting Numbers: [85, 14, 8] Generated Node #2: [85, 14, 8] from Operation: 92-84=8 Current State: 27:[85, 14, 8], Operations: ['92-84=8'] Exploring Operation: 14*8=112, Resulting Numbers: [85, 112] Generated Node #3: [85, 112] from Operation: 14*8=112 Current State: 27:[85, 112], Operations: ['92-84=8', '14*8=112'] Exploring Operation: 112-85=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 2, 21, 27, 92 ]
59
[ "2*27=54", "21+92=113", "113-54=59" ]
Current State: 59:[2, 21, 27, 92], Operations: [] Exploring Operation: 2*27=54, Resulting Numbers: [21, 92, 54] Generated Node #2: [21, 92, 54] from Operation: 2*27=54 Current State: 59:[21, 92, 54], Operations: ['2*27=54'] Exploring Operation: 21+92=113, Resulting Numbers: [54, 113] Generated Node #3: [54, 113] from Operation: 21+92=113 Current State: 59:[54, 113], Operations: ['2*27=54', '21+92=113'] Exploring Operation: 113-54=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 2, 83, 73, 92 ]
56
[ "92/2=46", "83-73=10", "46+10=56" ]
Current State: 56:[2, 83, 73, 92], Operations: [] Exploring Operation: 92/2=46, Resulting Numbers: [83, 73, 46] Generated Node #2: [83, 73, 46] from Operation: 92/2=46 Current State: 56:[83, 73, 46], Operations: ['92/2=46'] Exploring Operation: 83-73=10, Resulting Numbers: [46, 10] Generated Node #3: [46, 10] from Operation: 83-73=10 Current State: 56:[46, 10], Operations: ['92/2=46', '83-73=10'] Exploring Operation: 46+10=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 23, 59, 43, 57 ]
89
[ "59-57=2", "23*2=46", "43+46=89" ]
Current State: 89:[23, 59, 43, 57], Operations: [] Exploring Operation: 59-57=2, Resulting Numbers: [23, 43, 2] Generated Node #2: [23, 43, 2] from Operation: 59-57=2 Current State: 89:[23, 43, 2], Operations: ['59-57=2'] Exploring Operation: 23*2=46, Resulting Numbers: [43, 46] Generated Node #3: [43, 46] from Operation: 23*2=46 Current State: 89:[43, 46], Operations: ['59-57=2', '23*2=46'] Exploring Operation: 43+46=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 50, 28, 30, 61 ]
36
[ "30-28=2", "50/2=25", "61-25=36" ]
Current State: 36:[50, 28, 30, 61], Operations: [] Exploring Operation: 30-28=2, Resulting Numbers: [50, 61, 2] Generated Node #2: [50, 61, 2] from Operation: 30-28=2 Current State: 36:[50, 61, 2], Operations: ['30-28=2'] Exploring Operation: 50/2=25, Resulting Numbers: [61, 25] Generated Node #3: [61, 25] from Operation: 50/2=25 Current State: 36:[61, 25], Operations: ['30-28=2', '50/2=25'] Exploring Operation: 61-25=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 66, 90, 68, 50 ]
70
[ "68-66=2", "90+50=140", "140/2=70" ]
Current State: 70:[66, 90, 68, 50], Operations: [] Exploring Operation: 68-66=2, Resulting Numbers: [90, 50, 2] Generated Node #2: [90, 50, 2] from Operation: 68-66=2 Current State: 70:[90, 50, 2], Operations: ['68-66=2'] Exploring Operation: 90+50=140, Resulting Numbers: [2, 140] Generated Node #3: [2, 140] from Operation: 90+50=140 Current State: 70:[2, 140], Operations: ['68-66=2', '90+50=140'] Exploring Operation: 140/2=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 10, 70, 20, 1 ]
73
[ "20/10=2", "70+1=71", "2+71=73" ]
Current State: 73:[10, 70, 20, 1], Operations: [] Exploring Operation: 20/10=2, Resulting Numbers: [70, 1, 2] Generated Node #2: [70, 1, 2] from Operation: 20/10=2 Current State: 73:[70, 1, 2], Operations: ['20/10=2'] Exploring Operation: 70+1=71, Resulting Numbers: [2, 71] Generated Node #3: [2, 71] from Operation: 70+1=71 Current State: 73:[2, 71], Operations: ['20/10=2', '70+1=71'] Exploring Operation: 2+71=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 47, 2, 1, 63 ]
13
[ "47+2=49", "63-1=62", "62-49=13" ]
Current State: 13:[47, 2, 1, 63], Operations: [] Exploring Operation: 47+2=49, Resulting Numbers: [1, 63, 49] Generated Node #2: [1, 63, 49] from Operation: 47+2=49 Current State: 13:[1, 63, 49], Operations: ['47+2=49'] Exploring Operation: 63-1=62, Resulting Numbers: [49, 62] Generated Node #3: [49, 62] from Operation: 63-1=62 Current State: 13:[49, 62], Operations: ['47+2=49', '63-1=62'] Exploring Operation: 62-49=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 5, 58, 35, 13 ]
26
[ "58-13=45", "45/5=9", "35-9=26" ]
Current State: 26:[5, 58, 35, 13], Operations: [] Exploring Operation: 58-13=45, Resulting Numbers: [5, 35, 45] Generated Node #2: [5, 35, 45] from Operation: 58-13=45 Current State: 26:[5, 35, 45], Operations: ['58-13=45'] Exploring Operation: 45/5=9, Resulting Numbers: [35, 9] Generated Node #3: [35, 9] from Operation: 45/5=9 Current State: 26:[35, 9], Operations: ['58-13=45', '45/5=9'] Exploring Operation: 35-9=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 75, 37, 39, 52 ]
53
[ "75-37=38", "39+52=91", "91-38=53" ]
Current State: 53:[75, 37, 39, 52], Operations: [] Exploring Operation: 75-37=38, Resulting Numbers: [39, 52, 38] Generated Node #2: [39, 52, 38] from Operation: 75-37=38 Current State: 53:[39, 52, 38], Operations: ['75-37=38'] Exploring Operation: 39+52=91, Resulting Numbers: [38, 91] Generated Node #3: [38, 91] from Operation: 39+52=91 Current State: 53:[38, 91], Operations: ['75-37=38', '39+52=91'] Exploring Operation: 91-38=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 93, 96, 33, 23 ]
76
[ "96-93=3", "33*3=99", "99-23=76" ]
Current State: 76:[93, 96, 33, 23], Operations: [] Exploring Operation: 96-93=3, Resulting Numbers: [33, 23, 3] Generated Node #2: [33, 23, 3] from Operation: 96-93=3 Current State: 76:[33, 23, 3], Operations: ['96-93=3'] Exploring Operation: 33*3=99, Resulting Numbers: [23, 99] Generated Node #3: [23, 99] from Operation: 33*3=99 Current State: 76:[23, 99], Operations: ['96-93=3', '33*3=99'] Exploring Operation: 99-23=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 65, 33, 25, 65 ]
59
[ "65/65=1", "33+25=58", "1+58=59" ]
Current State: 59:[65, 33, 25, 65], Operations: [] Exploring Operation: 65/65=1, Resulting Numbers: [33, 25, 1] Generated Node #2: [33, 25, 1] from Operation: 65/65=1 Current State: 59:[33, 25, 1], Operations: ['65/65=1'] Exploring Operation: 33+25=58, Resulting Numbers: [1, 58] Generated Node #3: [1, 58] from Operation: 33+25=58 Current State: 59:[1, 58], Operations: ['65/65=1', '33+25=58'] Exploring Operation: 1+58=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 6, 42, 4, 54 ]
10
[ "6+42=48", "4+54=58", "58-48=10" ]
Current State: 10:[6, 42, 4, 54], Operations: [] Exploring Operation: 6+42=48, Resulting Numbers: [4, 54, 48] Generated Node #2: [4, 54, 48] from Operation: 6+42=48 Current State: 10:[4, 54, 48], Operations: ['6+42=48'] Exploring Operation: 4+54=58, Resulting Numbers: [48, 58] Generated Node #3: [48, 58] from Operation: 4+54=58 Current State: 10:[48, 58], Operations: ['6+42=48', '4+54=58'] Exploring Operation: 58-48=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 72, 32, 11, 66 ]
46
[ "72-32=40", "66/11=6", "40+6=46" ]
Current State: 46:[72, 32, 11, 66], Operations: [] Exploring Operation: 72-32=40, Resulting Numbers: [11, 66, 40] Generated Node #2: [11, 66, 40] from Operation: 72-32=40 Current State: 46:[11, 66, 40], Operations: ['72-32=40'] Exploring Operation: 66/11=6, Resulting Numbers: [40, 6] Generated Node #3: [40, 6] from Operation: 66/11=6 Current State: 46:[40, 6], Operations: ['72-32=40', '66/11=6'] Exploring Operation: 40+6=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 46, 63, 64, 27 ]
20
[ "63-46=17", "64-27=37", "37-17=20" ]
Current State: 20:[46, 63, 64, 27], Operations: [] Exploring Operation: 63-46=17, Resulting Numbers: [64, 27, 17] Generated Node #2: [64, 27, 17] from Operation: 63-46=17 Current State: 20:[64, 27, 17], Operations: ['63-46=17'] Exploring Operation: 64-27=37, Resulting Numbers: [17, 37] Generated Node #3: [17, 37] from Operation: 64-27=37 Current State: 20:[17, 37], Operations: ['63-46=17', '64-27=37'] Exploring Operation: 37-17=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 27, 58, 35, 26 ]
93
[ "27-26=1", "58+35=93", "1*93=93" ]
Current State: 93:[27, 58, 35, 26], Operations: [] Exploring Operation: 27-26=1, Resulting Numbers: [58, 35, 1] Generated Node #2: [58, 35, 1] from Operation: 27-26=1 Current State: 93:[58, 35, 1], Operations: ['27-26=1'] Exploring Operation: 58+35=93, Resulting Numbers: [1, 93] Generated Node #3: [1, 93] from Operation: 58+35=93 Current State: 93:[1, 93], Operations: ['27-26=1', '58+35=93'] Exploring Operation: 1*93=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 30, 91, 13, 93 ]
70
[ "93-30=63", "91/13=7", "63+7=70" ]
Current State: 70:[30, 91, 13, 93], Operations: [] Exploring Operation: 93-30=63, Resulting Numbers: [91, 13, 63] Generated Node #2: [91, 13, 63] from Operation: 93-30=63 Current State: 70:[91, 13, 63], Operations: ['93-30=63'] Exploring Operation: 91/13=7, Resulting Numbers: [63, 7] Generated Node #3: [63, 7] from Operation: 91/13=7 Current State: 70:[63, 7], Operations: ['93-30=63', '91/13=7'] Exploring Operation: 63+7=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 92, 4, 33, 46 ]
36
[ "92/4=23", "46-33=13", "23+13=36" ]
Current State: 36:[92, 4, 33, 46], Operations: [] Exploring Operation: 92/4=23, Resulting Numbers: [33, 46, 23] Generated Node #2: [33, 46, 23] from Operation: 92/4=23 Current State: 36:[33, 46, 23], Operations: ['92/4=23'] Exploring Operation: 46-33=13, Resulting Numbers: [23, 13] Generated Node #3: [23, 13] from Operation: 46-33=13 Current State: 36:[23, 13], Operations: ['92/4=23', '46-33=13'] Exploring Operation: 23+13=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 2, 59, 68, 55 ]
11
[ "59+55=114", "114/2=57", "68-57=11" ]
Current State: 11:[2, 59, 68, 55], Operations: [] Exploring Operation: 59+55=114, Resulting Numbers: [2, 68, 114] Generated Node #2: [2, 68, 114] from Operation: 59+55=114 Current State: 11:[2, 68, 114], Operations: ['59+55=114'] Exploring Operation: 114/2=57, Resulting Numbers: [68, 57] Generated Node #3: [68, 57] from Operation: 114/2=57 Current State: 11:[68, 57], Operations: ['59+55=114', '114/2=57'] Exploring Operation: 68-57=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 45, 47, 5, 28 ]
60
[ "47+28=75", "75/5=15", "45+15=60" ]
Current State: 60:[45, 47, 5, 28], Operations: [] Exploring Operation: 47+28=75, Resulting Numbers: [45, 5, 75] Generated Node #2: [45, 5, 75] from Operation: 47+28=75 Current State: 60:[45, 5, 75], Operations: ['47+28=75'] Exploring Operation: 75/5=15, Resulting Numbers: [45, 15] Generated Node #3: [45, 15] from Operation: 75/5=15 Current State: 60:[45, 15], Operations: ['47+28=75', '75/5=15'] Exploring Operation: 45+15=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 30, 28, 9, 13 ]
50
[ "28-13=15", "30*15=450", "450/9=50" ]
Current State: 50:[30, 28, 9, 13], Operations: [] Exploring Operation: 28-13=15, Resulting Numbers: [30, 9, 15] Generated Node #2: [30, 9, 15] from Operation: 28-13=15 Current State: 50:[30, 9, 15], Operations: ['28-13=15'] Exploring Operation: 30*15=450, Resulting Numbers: [9, 450] Generated Node #3: [9, 450] from Operation: 30*15=450 Current State: 50:[9, 450], Operations: ['28-13=15', '30*15=450'] Exploring Operation: 450/9=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 6, 69, 28, 31 ]
68
[ "6*28=168", "69+31=100", "168-100=68" ]
Current State: 68:[6, 69, 28, 31], Operations: [] Exploring Operation: 6*28=168, Resulting Numbers: [69, 31, 168] Generated Node #2: [69, 31, 168] from Operation: 6*28=168 Current State: 68:[69, 31, 168], Operations: ['6*28=168'] Exploring Operation: 69+31=100, Resulting Numbers: [168, 100] Generated Node #3: [168, 100] from Operation: 69+31=100 Current State: 68:[168, 100], Operations: ['6*28=168', '69+31=100'] Exploring Operation: 168-100=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 84, 98, 34, 13 ]
33
[ "98-84=14", "34+13=47", "47-14=33" ]
Current State: 33:[84, 98, 34, 13], Operations: [] Exploring Operation: 98-84=14, Resulting Numbers: [34, 13, 14] Generated Node #2: [34, 13, 14] from Operation: 98-84=14 Current State: 33:[34, 13, 14], Operations: ['98-84=14'] Exploring Operation: 34+13=47, Resulting Numbers: [14, 47] Generated Node #3: [14, 47] from Operation: 34+13=47 Current State: 33:[14, 47], Operations: ['98-84=14', '34+13=47'] Exploring Operation: 47-14=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 1, 6, 23, 65 ]
67
[ "23-1=22", "6*22=132", "132-65=67" ]
Current State: 67:[1, 6, 23, 65], Operations: [] Exploring Operation: 23-1=22, Resulting Numbers: [6, 65, 22] Generated Node #2: [6, 65, 22] from Operation: 23-1=22 Current State: 67:[6, 65, 22], Operations: ['23-1=22'] Exploring Operation: 6*22=132, Resulting Numbers: [65, 132] Generated Node #3: [65, 132] from Operation: 6*22=132 Current State: 67:[65, 132], Operations: ['23-1=22', '6*22=132'] Exploring Operation: 132-65=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 74, 97, 79, 54 ]
48
[ "97-74=23", "79-54=25", "23+25=48" ]
Current State: 48:[74, 97, 79, 54], Operations: [] Exploring Operation: 97-74=23, Resulting Numbers: [79, 54, 23] Generated Node #2: [79, 54, 23] from Operation: 97-74=23 Current State: 48:[79, 54, 23], Operations: ['97-74=23'] Exploring Operation: 79-54=25, Resulting Numbers: [23, 25] Generated Node #3: [23, 25] from Operation: 79-54=25 Current State: 48:[23, 25], Operations: ['97-74=23', '79-54=25'] Exploring Operation: 23+25=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 29, 24, 96, 51 ]
76
[ "29+51=80", "96/24=4", "80-4=76" ]
Current State: 76:[29, 24, 96, 51], Operations: [] Exploring Operation: 29+51=80, Resulting Numbers: [24, 96, 80] Generated Node #2: [24, 96, 80] from Operation: 29+51=80 Current State: 76:[24, 96, 80], Operations: ['29+51=80'] Exploring Operation: 96/24=4, Resulting Numbers: [80, 4] Generated Node #3: [80, 4] from Operation: 96/24=4 Current State: 76:[80, 4], Operations: ['29+51=80', '96/24=4'] Exploring Operation: 80-4=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 25, 62, 27, 45 ]
20
[ "27*45=1215", "25+1215=1240", "1240/62=20" ]
Current State: 20:[25, 62, 27, 45], Operations: [] Exploring Operation: 27*45=1215, Resulting Numbers: [25, 62, 1215] Generated Node #2: [25, 62, 1215] from Operation: 27*45=1215 Current State: 20:[25, 62, 1215], Operations: ['27*45=1215'] Exploring Operation: 25+1215=1240, Resulting Numbers: [62, 1240] Generated Node #3: [62, 1240] from Operation: 25+1215=1240 Current State: 20:[62, 1240], Operations: ['27*45=1215', '25+1215=1240'] Exploring Operation: 1240/62=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 54, 96, 81, 90 ]
54
[ "54+90=144", "96*81=7776", "7776/144=54" ]
Current State: 54:[54, 96, 81, 90], Operations: [] Exploring Operation: 54+90=144, Resulting Numbers: [96, 81, 144] Generated Node #2: [96, 81, 144] from Operation: 54+90=144 Current State: 54:[96, 81, 144], Operations: ['54+90=144'] Exploring Operation: 96*81=7776, Resulting Numbers: [144, 7776] Generated Node #3: [144, 7776] from Operation: 96*81=7776 Current State: 54:[144, 7776], Operations: ['54+90=144', '96*81=7776'] Exploring Operation: 7776/144=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 36, 83, 93, 30 ]
76
[ "83-36=47", "93+30=123", "123-47=76" ]
Current State: 76:[36, 83, 93, 30], Operations: [] Exploring Operation: 83-36=47, Resulting Numbers: [93, 30, 47] Generated Node #2: [93, 30, 47] from Operation: 83-36=47 Current State: 76:[93, 30, 47], Operations: ['83-36=47'] Exploring Operation: 93+30=123, Resulting Numbers: [47, 123] Generated Node #3: [47, 123] from Operation: 93+30=123 Current State: 76:[47, 123], Operations: ['83-36=47', '93+30=123'] Exploring Operation: 123-47=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 63, 9, 54, 25 ]
94
[ "63+25=88", "54/9=6", "88+6=94" ]
Current State: 94:[63, 9, 54, 25], Operations: [] Exploring Operation: 63+25=88, Resulting Numbers: [9, 54, 88] Generated Node #2: [9, 54, 88] from Operation: 63+25=88 Current State: 94:[9, 54, 88], Operations: ['63+25=88'] Exploring Operation: 54/9=6, Resulting Numbers: [88, 6] Generated Node #3: [88, 6] from Operation: 54/9=6 Current State: 94:[88, 6], Operations: ['63+25=88', '54/9=6'] Exploring Operation: 88+6=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 56, 90, 33, 58 ]
12
[ "58-56=2", "90/2=45", "45-33=12" ]
Current State: 12:[56, 90, 33, 58], Operations: [] Exploring Operation: 58-56=2, Resulting Numbers: [90, 33, 2] Generated Node #2: [90, 33, 2] from Operation: 58-56=2 Current State: 12:[90, 33, 2], Operations: ['58-56=2'] Exploring Operation: 90/2=45, Resulting Numbers: [33, 45] Generated Node #3: [33, 45] from Operation: 90/2=45 Current State: 12:[33, 45], Operations: ['58-56=2', '90/2=45'] Exploring Operation: 45-33=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 51, 19, 2, 56 ]
99
[ "19+56=75", "2*75=150", "150-51=99" ]
Current State: 99:[51, 19, 2, 56], Operations: [] Exploring Operation: 19+56=75, Resulting Numbers: [51, 2, 75] Generated Node #2: [51, 2, 75] from Operation: 19+56=75 Current State: 99:[51, 2, 75], Operations: ['19+56=75'] Exploring Operation: 2*75=150, Resulting Numbers: [51, 150] Generated Node #3: [51, 150] from Operation: 2*75=150 Current State: 99:[51, 150], Operations: ['19+56=75', '2*75=150'] Exploring Operation: 150-51=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 32, 12, 33, 24 ]
90
[ "32*33=1056", "24+1056=1080", "1080/12=90" ]
Current State: 90:[32, 12, 33, 24], Operations: [] Exploring Operation: 32*33=1056, Resulting Numbers: [12, 24, 1056] Generated Node #2: [12, 24, 1056] from Operation: 32*33=1056 Current State: 90:[12, 24, 1056], Operations: ['32*33=1056'] Exploring Operation: 24+1056=1080, Resulting Numbers: [12, 1080] Generated Node #3: [12, 1080] from Operation: 24+1056=1080 Current State: 90:[12, 1080], Operations: ['32*33=1056', '24+1056=1080'] Exploring Operation: 1080/12=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 27, 9, 72, 24 ]
18
[ "27*24=648", "648/72=9", "9+9=18" ]
Current State: 18:[27, 9, 72, 24], Operations: [] Exploring Operation: 27*24=648, Resulting Numbers: [9, 72, 648] Generated Node #2: [9, 72, 648] from Operation: 27*24=648 Current State: 18:[9, 72, 648], Operations: ['27*24=648'] Exploring Operation: 648/72=9, Resulting Numbers: [9, 9] Generated Node #3: [9, 9] from Operation: 648/72=9 Current State: 18:[9, 9], Operations: ['27*24=648', '648/72=9'] Exploring Operation: 9+9=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 83, 84, 73, 29 ]
44
[ "84-83=1", "73-29=44", "1*44=44" ]
Current State: 44:[83, 84, 73, 29], Operations: [] Exploring Operation: 84-83=1, Resulting Numbers: [73, 29, 1] Generated Node #2: [73, 29, 1] from Operation: 84-83=1 Current State: 44:[73, 29, 1], Operations: ['84-83=1'] Exploring Operation: 73-29=44, Resulting Numbers: [1, 44] Generated Node #3: [1, 44] from Operation: 73-29=44 Current State: 44:[1, 44], Operations: ['84-83=1', '73-29=44'] Exploring Operation: 1*44=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 62, 72, 15, 31 ]
56
[ "72-62=10", "15+31=46", "10+46=56" ]
Current State: 56:[62, 72, 15, 31], Operations: [] Exploring Operation: 72-62=10, Resulting Numbers: [15, 31, 10] Generated Node #2: [15, 31, 10] from Operation: 72-62=10 Current State: 56:[15, 31, 10], Operations: ['72-62=10'] Exploring Operation: 15+31=46, Resulting Numbers: [10, 46] Generated Node #3: [10, 46] from Operation: 15+31=46 Current State: 56:[10, 46], Operations: ['72-62=10', '15+31=46'] Exploring Operation: 10+46=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 62, 15, 11, 3 ]
91
[ "62+15=77", "11+3=14", "77+14=91" ]
Current State: 91:[62, 15, 11, 3], Operations: [] Exploring Operation: 62+15=77, Resulting Numbers: [11, 3, 77] Generated Node #2: [11, 3, 77] from Operation: 62+15=77 Current State: 91:[11, 3, 77], Operations: ['62+15=77'] Exploring Operation: 11+3=14, Resulting Numbers: [77, 14] Generated Node #3: [77, 14] from Operation: 11+3=14 Current State: 91:[77, 14], Operations: ['62+15=77', '11+3=14'] Exploring Operation: 77+14=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 61, 48, 21, 30 ]
38
[ "61-48=13", "21+30=51", "51-13=38" ]
Current State: 38:[61, 48, 21, 30], Operations: [] Exploring Operation: 61-48=13, Resulting Numbers: [21, 30, 13] Generated Node #2: [21, 30, 13] from Operation: 61-48=13 Current State: 38:[21, 30, 13], Operations: ['61-48=13'] Exploring Operation: 21+30=51, Resulting Numbers: [13, 51] Generated Node #3: [13, 51] from Operation: 21+30=51 Current State: 38:[13, 51], Operations: ['61-48=13', '21+30=51'] Exploring Operation: 51-13=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 19, 48, 84, 73 ]
56
[ "19+48=67", "84-73=11", "67-11=56" ]
Current State: 56:[19, 48, 84, 73], Operations: [] Exploring Operation: 19+48=67, Resulting Numbers: [84, 73, 67] Generated Node #2: [84, 73, 67] from Operation: 19+48=67 Current State: 56:[84, 73, 67], Operations: ['19+48=67'] Exploring Operation: 84-73=11, Resulting Numbers: [67, 11] Generated Node #3: [67, 11] from Operation: 84-73=11 Current State: 56:[67, 11], Operations: ['19+48=67', '84-73=11'] Exploring Operation: 67-11=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 12, 55, 92, 18 ]
10
[ "92+18=110", "110/55=2", "12-2=10" ]
Current State: 10:[12, 55, 92, 18], Operations: [] Exploring Operation: 92+18=110, Resulting Numbers: [12, 55, 110] Generated Node #2: [12, 55, 110] from Operation: 92+18=110 Current State: 10:[12, 55, 110], Operations: ['92+18=110'] Exploring Operation: 110/55=2, Resulting Numbers: [12, 2] Generated Node #3: [12, 2] from Operation: 110/55=2 Current State: 10:[12, 2], Operations: ['92+18=110', '110/55=2'] Exploring Operation: 12-2=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 71, 18, 69, 46 ]
98
[ "18*69=1242", "1242/46=27", "71+27=98" ]
Current State: 98:[71, 18, 69, 46], Operations: [] Exploring Operation: 18*69=1242, Resulting Numbers: [71, 46, 1242] Generated Node #2: [71, 46, 1242] from Operation: 18*69=1242 Current State: 98:[71, 46, 1242], Operations: ['18*69=1242'] Exploring Operation: 1242/46=27, Resulting Numbers: [71, 27] Generated Node #3: [71, 27] from Operation: 1242/46=27 Current State: 98:[71, 27], Operations: ['18*69=1242', '1242/46=27'] Exploring Operation: 71+27=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 51, 36, 63, 35 ]
13
[ "51-36=15", "63-35=28", "28-15=13" ]
Current State: 13:[51, 36, 63, 35], Operations: [] Exploring Operation: 51-36=15, Resulting Numbers: [63, 35, 15] Generated Node #2: [63, 35, 15] from Operation: 51-36=15 Current State: 13:[63, 35, 15], Operations: ['51-36=15'] Exploring Operation: 63-35=28, Resulting Numbers: [15, 28] Generated Node #3: [15, 28] from Operation: 63-35=28 Current State: 13:[15, 28], Operations: ['51-36=15', '63-35=28'] Exploring Operation: 28-15=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 56, 87, 31, 25 ]
62
[ "87+25=112", "112/56=2", "31*2=62" ]
Current State: 62:[56, 87, 31, 25], Operations: [] Exploring Operation: 87+25=112, Resulting Numbers: [56, 31, 112] Generated Node #2: [56, 31, 112] from Operation: 87+25=112 Current State: 62:[56, 31, 112], Operations: ['87+25=112'] Exploring Operation: 112/56=2, Resulting Numbers: [31, 2] Generated Node #3: [31, 2] from Operation: 112/56=2 Current State: 62:[31, 2], Operations: ['87+25=112', '112/56=2'] Exploring Operation: 31*2=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 8, 14, 69, 63 ]
64
[ "69-14=55", "63-55=8", "8*8=64" ]
Current State: 64:[8, 14, 69, 63], Operations: [] Exploring Operation: 69-14=55, Resulting Numbers: [8, 63, 55] Generated Node #2: [8, 63, 55] from Operation: 69-14=55 Current State: 64:[8, 63, 55], Operations: ['69-14=55'] Exploring Operation: 63-55=8, Resulting Numbers: [8, 8] Generated Node #3: [8, 8] from Operation: 63-55=8 Current State: 64:[8, 8], Operations: ['69-14=55', '63-55=8'] Exploring Operation: 8*8=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 49, 92, 47, 53 ]
41
[ "49+92=141", "47+53=100", "141-100=41" ]
Current State: 41:[49, 92, 47, 53], Operations: [] Exploring Operation: 49+92=141, Resulting Numbers: [47, 53, 141] Generated Node #2: [47, 53, 141] from Operation: 49+92=141 Current State: 41:[47, 53, 141], Operations: ['49+92=141'] Exploring Operation: 47+53=100, Resulting Numbers: [141, 100] Generated Node #3: [141, 100] from Operation: 47+53=100 Current State: 41:[141, 100], Operations: ['49+92=141', '47+53=100'] Exploring Operation: 141-100=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 5, 47, 5, 70 ]
60
[ "70-5=65", "65/5=13", "47+13=60" ]
Current State: 60:[5, 47, 5, 70], Operations: [] Exploring Operation: 70-5=65, Resulting Numbers: [47, 65] Generated Node #2: [47, 65] from Operation: 70-5=65 Current State: 60:[47, 65], Operations: ['70-5=65'] Exploring Operation: 65/5=13, Resulting Numbers: [47, 13] Generated Node #3: [47, 13] from Operation: 65/5=13 Current State: 60:[47, 13], Operations: ['70-5=65', '65/5=13'] Exploring Operation: 47+13=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4