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
[ 6, 84, 65, 42 ]
73
[ "6+65=71", "84/42=2", "71+2=73" ]
Current State: 73:[6, 84, 65, 42], Operations: [] Exploring Operation: 6+65=71, Resulting Numbers: [84, 42, 71] Generated Node #2: [84, 42, 71] from Operation: 6+65=71 Current State: 73:[84, 42, 71], Operations: ['6+65=71'] Exploring Operation: 84/42=2, Resulting Numbers: [71, 2] Generated Node #3: [71, 2] from Operation: 84/42=2 Current State: 73:[71, 2], Operations: ['6+65=71', '84/42=2'] Exploring Operation: 71+2=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 61, 55, 41, 23 ]
52
[ "61+55=116", "41+23=64", "116-64=52" ]
Current State: 52:[61, 55, 41, 23], Operations: [] Exploring Operation: 61+55=116, Resulting Numbers: [41, 23, 116] Generated Node #2: [41, 23, 116] from Operation: 61+55=116 Current State: 52:[41, 23, 116], Operations: ['61+55=116'] Exploring Operation: 41+23=64, Resulting Numbers: [116, 64] Generated Node #3: [116, 64] from Operation: 41+23=64 Current State: 52:[116, 64], Operations: ['61+55=116', '41+23=64'] Exploring Operation: 116-64=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 6, 26, 23, 91 ]
73
[ "6*23=138", "91-26=65", "138-65=73" ]
Current State: 73:[6, 26, 23, 91], Operations: [] Exploring Operation: 6*23=138, Resulting Numbers: [26, 91, 138] Generated Node #2: [26, 91, 138] from Operation: 6*23=138 Current State: 73:[26, 91, 138], Operations: ['6*23=138'] Exploring Operation: 91-26=65, Resulting Numbers: [138, 65] Generated Node #3: [138, 65] from Operation: 91-26=65 Current State: 73:[138, 65], Operations: ['6*23=138', '91-26=65'] Exploring Operation: 138-65=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 51, 33, 90, 75 ]
15
[ "51-33=18", "90/18=5", "75/5=15" ]
Current State: 15:[51, 33, 90, 75], Operations: [] Exploring Operation: 51-33=18, Resulting Numbers: [90, 75, 18] Generated Node #2: [90, 75, 18] from Operation: 51-33=18 Current State: 15:[90, 75, 18], Operations: ['51-33=18'] Exploring Operation: 90/18=5, Resulting Numbers: [75, 5] Generated Node #3: [75, 5] from Operation: 90/18=5 Current State: 15:[75, 5], Operations: ['51-33=18', '90/18=5'] Exploring Operation: 75/5=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 65, 28, 28, 33 ]
98
[ "65+28=93", "33-28=5", "93+5=98" ]
Current State: 98:[65, 28, 28, 33], Operations: [] Exploring Operation: 65+28=93, Resulting Numbers: [33, 93] Generated Node #2: [33, 93] from Operation: 65+28=93 Current State: 98:[33, 93], Operations: ['65+28=93'] Exploring Operation: 33-28=5, Resulting Numbers: [93, 5] Generated Node #3: [93, 5] from Operation: 33-28=5 Current State: 98:[93, 5], Operations: ['65+28=93', '33-28=5'] Exploring Operation: 93+5=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 41, 85, 26, 82 ]
100
[ "85-41=44", "82-26=56", "44+56=100" ]
Current State: 100:[41, 85, 26, 82], Operations: [] Exploring Operation: 85-41=44, Resulting Numbers: [26, 82, 44] Generated Node #2: [26, 82, 44] from Operation: 85-41=44 Current State: 100:[26, 82, 44], Operations: ['85-41=44'] Exploring Operation: 82-26=56, Resulting Numbers: [44, 56] Generated Node #3: [44, 56] from Operation: 82-26=56 Current State: 100:[44, 56], Operations: ['85-41=44', '82-26=56'] Exploring Operation: 44+56=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 98, 38, 15, 64 ]
68
[ "98-38=60", "60/15=4", "64+4=68" ]
Current State: 68:[98, 38, 15, 64], Operations: [] Exploring Operation: 98-38=60, Resulting Numbers: [15, 64, 60] Generated Node #2: [15, 64, 60] from Operation: 98-38=60 Current State: 68:[15, 64, 60], Operations: ['98-38=60'] Exploring Operation: 60/15=4, Resulting Numbers: [64, 4] Generated Node #3: [64, 4] from Operation: 60/15=4 Current State: 68:[64, 4], Operations: ['98-38=60', '60/15=4'] Exploring Operation: 64+4=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 22, 4, 80, 82 ]
90
[ "22*4=88", "82-80=2", "88+2=90" ]
Current State: 90:[22, 4, 80, 82], Operations: [] Exploring Operation: 22*4=88, Resulting Numbers: [80, 82, 88] Generated Node #2: [80, 82, 88] from Operation: 22*4=88 Current State: 90:[80, 82, 88], Operations: ['22*4=88'] Exploring Operation: 82-80=2, Resulting Numbers: [88, 2] Generated Node #3: [88, 2] from Operation: 82-80=2 Current State: 90:[88, 2], Operations: ['22*4=88', '82-80=2'] Exploring Operation: 88+2=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 16, 59, 28, 14 ]
89
[ "16+59=75", "28-14=14", "75+14=89" ]
Current State: 89:[16, 59, 28, 14], Operations: [] Exploring Operation: 16+59=75, Resulting Numbers: [28, 14, 75] Generated Node #2: [28, 14, 75] from Operation: 16+59=75 Current State: 89:[28, 14, 75], Operations: ['16+59=75'] Exploring Operation: 28-14=14, Resulting Numbers: [75, 14] Generated Node #3: [75, 14] from Operation: 28-14=14 Current State: 89:[75, 14], Operations: ['16+59=75', '28-14=14'] Exploring Operation: 75+14=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 6, 39, 48, 39 ]
13
[ "6+39=45", "48-45=3", "39/3=13" ]
Current State: 13:[6, 39, 48, 39], Operations: [] Exploring Operation: 6+39=45, Resulting Numbers: [48, 45] Generated Node #2: [48, 45] from Operation: 6+39=45 Current State: 13:[48, 45], Operations: ['6+39=45'] Exploring Operation: 48-45=3, Resulting Numbers: [3] 3,13 equal: Goal Reached Exploring Operation: 39/3=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 42, 11, 31, 12 ]
73
[ "42+31=73", "12-11=1", "73*1=73" ]
Current State: 73:[42, 11, 31, 12], Operations: [] Exploring Operation: 42+31=73, Resulting Numbers: [11, 12, 73] Generated Node #2: [11, 12, 73] from Operation: 42+31=73 Current State: 73:[11, 12, 73], Operations: ['42+31=73'] Exploring Operation: 12-11=1, Resulting Numbers: [73, 1] Generated Node #3: [73, 1] from Operation: 12-11=1 Current State: 73:[73, 1], Operations: ['42+31=73', '12-11=1'] Exploring Operation: 73*1=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 94, 94, 81, 13 ]
75
[ "94-81=13", "13*13=169", "169-94=75" ]
Current State: 75:[94, 94, 81, 13], Operations: [] Exploring Operation: 94-81=13, Resulting Numbers: [13, 13] Generated Node #2: [13, 13] from Operation: 94-81=13 Current State: 75:[13, 13], Operations: ['94-81=13'] Exploring Operation: 13*13=169, Resulting Numbers: [169] 169,75 equal: Goal Reached Exploring Operation: 169-94=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 9, 99, 34, 65 ]
20
[ "99/9=11", "65-34=31", "31-11=20" ]
Current State: 20:[9, 99, 34, 65], Operations: [] Exploring Operation: 99/9=11, Resulting Numbers: [34, 65, 11] Generated Node #2: [34, 65, 11] from Operation: 99/9=11 Current State: 20:[34, 65, 11], Operations: ['99/9=11'] Exploring Operation: 65-34=31, Resulting Numbers: [11, 31] Generated Node #3: [11, 31] from Operation: 65-34=31 Current State: 20:[11, 31], Operations: ['99/9=11', '65-34=31'] Exploring Operation: 31-11=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 55, 98, 57, 32 ]
68
[ "98-55=43", "57-32=25", "43+25=68" ]
Current State: 68:[55, 98, 57, 32], Operations: [] Exploring Operation: 98-55=43, Resulting Numbers: [57, 32, 43] Generated Node #2: [57, 32, 43] from Operation: 98-55=43 Current State: 68:[57, 32, 43], Operations: ['98-55=43'] Exploring Operation: 57-32=25, Resulting Numbers: [43, 25] Generated Node #3: [43, 25] from Operation: 57-32=25 Current State: 68:[43, 25], Operations: ['98-55=43', '57-32=25'] Exploring Operation: 43+25=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 64, 26, 62, 57 ]
70
[ "64-62=2", "26/2=13", "57+13=70" ]
Current State: 70:[64, 26, 62, 57], Operations: [] Exploring Operation: 64-62=2, Resulting Numbers: [26, 57, 2] Generated Node #2: [26, 57, 2] from Operation: 64-62=2 Current State: 70:[26, 57, 2], Operations: ['64-62=2'] Exploring Operation: 26/2=13, Resulting Numbers: [57, 13] Generated Node #3: [57, 13] from Operation: 26/2=13 Current State: 70:[57, 13], Operations: ['64-62=2', '26/2=13'] Exploring Operation: 57+13=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 75, 49, 39, 64 ]
61
[ "75*39=2925", "64+2925=2989", "2989/49=61" ]
Current State: 61:[75, 49, 39, 64], Operations: [] Exploring Operation: 75*39=2925, Resulting Numbers: [49, 64, 2925] Generated Node #2: [49, 64, 2925] from Operation: 75*39=2925 Current State: 61:[49, 64, 2925], Operations: ['75*39=2925'] Exploring Operation: 64+2925=2989, Resulting Numbers: [49, 2989] Generated Node #3: [49, 2989] from Operation: 64+2925=2989 Current State: 61:[49, 2989], Operations: ['75*39=2925', '64+2925=2989'] Exploring Operation: 2989/49=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 18, 6, 30, 5 ]
43
[ "30/6=5", "5*5=25", "18+25=43" ]
Current State: 43:[18, 6, 30, 5], Operations: [] Exploring Operation: 30/6=5, Resulting Numbers: [18, 5, 5] Generated Node #2: [18, 5, 5] from Operation: 30/6=5 Current State: 43:[18, 5, 5], Operations: ['30/6=5'] Exploring Operation: 5*5=25, Resulting Numbers: [18, 25] Generated Node #3: [18, 25] from Operation: 5*5=25 Current State: 43:[18, 25], Operations: ['30/6=5', '5*5=25'] Exploring Operation: 18+25=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 88, 36, 71, 4 ]
23
[ "88-36=52", "71+4=75", "75-52=23" ]
Current State: 23:[88, 36, 71, 4], Operations: [] Exploring Operation: 88-36=52, Resulting Numbers: [71, 4, 52] Generated Node #2: [71, 4, 52] from Operation: 88-36=52 Current State: 23:[71, 4, 52], Operations: ['88-36=52'] Exploring Operation: 71+4=75, Resulting Numbers: [52, 75] Generated Node #3: [52, 75] from Operation: 71+4=75 Current State: 23:[52, 75], Operations: ['88-36=52', '71+4=75'] Exploring Operation: 75-52=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 28, 30, 57, 35 ]
83
[ "35-30=5", "28*5=140", "140-57=83" ]
Current State: 83:[28, 30, 57, 35], Operations: [] Exploring Operation: 35-30=5, Resulting Numbers: [28, 57, 5] Generated Node #2: [28, 57, 5] from Operation: 35-30=5 Current State: 83:[28, 57, 5], Operations: ['35-30=5'] Exploring Operation: 28*5=140, Resulting Numbers: [57, 140] Generated Node #3: [57, 140] from Operation: 28*5=140 Current State: 83:[57, 140], Operations: ['35-30=5', '28*5=140'] Exploring Operation: 140-57=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 45, 10, 66, 20 ]
89
[ "45+66=111", "10*20=200", "200-111=89" ]
Current State: 89:[45, 10, 66, 20], Operations: [] Exploring Operation: 45+66=111, Resulting Numbers: [10, 20, 111] Generated Node #2: [10, 20, 111] from Operation: 45+66=111 Current State: 89:[10, 20, 111], Operations: ['45+66=111'] Exploring Operation: 10*20=200, Resulting Numbers: [111, 200] Generated Node #3: [111, 200] from Operation: 10*20=200 Current State: 89:[111, 200], Operations: ['45+66=111', '10*20=200'] Exploring Operation: 200-111=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 19, 75, 31, 87 ]
62
[ "75-19=56", "31+87=118", "118-56=62" ]
Current State: 62:[19, 75, 31, 87], Operations: [] Exploring Operation: 75-19=56, Resulting Numbers: [31, 87, 56] Generated Node #2: [31, 87, 56] from Operation: 75-19=56 Current State: 62:[31, 87, 56], Operations: ['75-19=56'] Exploring Operation: 31+87=118, Resulting Numbers: [56, 118] Generated Node #3: [56, 118] from Operation: 31+87=118 Current State: 62:[56, 118], Operations: ['75-19=56', '31+87=118'] Exploring Operation: 118-56=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 32, 42, 24, 48 ]
62
[ "42-32=10", "24+48=72", "72-10=62" ]
Current State: 62:[32, 42, 24, 48], Operations: [] Exploring Operation: 42-32=10, Resulting Numbers: [24, 48, 10] Generated Node #2: [24, 48, 10] from Operation: 42-32=10 Current State: 62:[24, 48, 10], Operations: ['42-32=10'] Exploring Operation: 24+48=72, Resulting Numbers: [10, 72] Generated Node #3: [10, 72] from Operation: 24+48=72 Current State: 62:[10, 72], Operations: ['42-32=10', '24+48=72'] Exploring Operation: 72-10=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 95, 19, 94, 95 ]
94
[ "95-95=0", "19*0=0", "94+0=94" ]
Current State: 94:[95, 19, 94, 95], Operations: [] Exploring Operation: 95-95=0, Resulting Numbers: [19, 94, 0] Generated Node #2: [19, 94, 0] from Operation: 95-95=0 Current State: 94:[19, 94, 0], Operations: ['95-95=0'] Exploring Operation: 19*0=0, Resulting Numbers: [94, 0] Generated Node #3: [94, 0] from Operation: 19*0=0 Current State: 94:[94, 0], Operations: ['95-95=0', '19*0=0'] Exploring Operation: 94+0=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 28, 60, 4, 60 ]
31
[ "28+4=32", "60/60=1", "32-1=31" ]
Current State: 31:[28, 60, 4, 60], Operations: [] Exploring Operation: 28+4=32, Resulting Numbers: [60, 60, 32] Generated Node #2: [60, 60, 32] from Operation: 28+4=32 Current State: 31:[60, 60, 32], Operations: ['28+4=32'] Exploring Operation: 60/60=1, Resulting Numbers: [32, 1] Generated Node #3: [32, 1] from Operation: 60/60=1 Current State: 31:[32, 1], Operations: ['28+4=32', '60/60=1'] Exploring Operation: 32-1=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 70, 63, 54, 40 ]
20
[ "70*54=3780", "3780/63=60", "60-40=20" ]
Current State: 20:[70, 63, 54, 40], Operations: [] Exploring Operation: 70*54=3780, Resulting Numbers: [63, 40, 3780] Generated Node #2: [63, 40, 3780] from Operation: 70*54=3780 Current State: 20:[63, 40, 3780], Operations: ['70*54=3780'] Exploring Operation: 3780/63=60, Resulting Numbers: [40, 60] Generated Node #3: [40, 60] from Operation: 3780/63=60 Current State: 20:[40, 60], Operations: ['70*54=3780', '3780/63=60'] Exploring Operation: 60-40=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 78, 44, 63, 39 ]
41
[ "78/39=2", "44/2=22", "63-22=41" ]
Current State: 41:[78, 44, 63, 39], Operations: [] Exploring Operation: 78/39=2, Resulting Numbers: [44, 63, 2] Generated Node #2: [44, 63, 2] from Operation: 78/39=2 Current State: 41:[44, 63, 2], Operations: ['78/39=2'] Exploring Operation: 44/2=22, Resulting Numbers: [63, 22] Generated Node #3: [63, 22] from Operation: 44/2=22 Current State: 41:[63, 22], Operations: ['78/39=2', '44/2=22'] Exploring Operation: 63-22=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 10, 8, 82, 93 ]
71
[ "10-8=2", "82*2=164", "164-93=71" ]
Current State: 71:[10, 8, 82, 93], Operations: [] Exploring Operation: 10-8=2, Resulting Numbers: [82, 93, 2] Generated Node #2: [82, 93, 2] from Operation: 10-8=2 Current State: 71:[82, 93, 2], Operations: ['10-8=2'] Exploring Operation: 82*2=164, Resulting Numbers: [93, 164] Generated Node #3: [93, 164] from Operation: 82*2=164 Current State: 71:[93, 164], Operations: ['10-8=2', '82*2=164'] Exploring Operation: 164-93=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 55, 71, 36, 33 ]
21
[ "71-36=35", "33*35=1155", "1155/55=21" ]
Current State: 21:[55, 71, 36, 33], Operations: [] Exploring Operation: 71-36=35, Resulting Numbers: [55, 33, 35] Generated Node #2: [55, 33, 35] from Operation: 71-36=35 Current State: 21:[55, 33, 35], Operations: ['71-36=35'] Exploring Operation: 33*35=1155, Resulting Numbers: [55, 1155] Generated Node #3: [55, 1155] from Operation: 33*35=1155 Current State: 21:[55, 1155], Operations: ['71-36=35', '33*35=1155'] Exploring Operation: 1155/55=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 25, 83, 81, 69 ]
47
[ "25+69=94", "83-81=2", "94/2=47" ]
Current State: 47:[25, 83, 81, 69], Operations: [] Exploring Operation: 25+69=94, Resulting Numbers: [83, 81, 94] Generated Node #2: [83, 81, 94] from Operation: 25+69=94 Current State: 47:[83, 81, 94], Operations: ['25+69=94'] Exploring Operation: 83-81=2, Resulting Numbers: [94, 2] Generated Node #3: [94, 2] from Operation: 83-81=2 Current State: 47:[94, 2], Operations: ['25+69=94', '83-81=2'] Exploring Operation: 94/2=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 61, 37, 14, 77 ]
35
[ "61+37=98", "77-14=63", "98-63=35" ]
Current State: 35:[61, 37, 14, 77], Operations: [] Exploring Operation: 61+37=98, Resulting Numbers: [14, 77, 98] Generated Node #2: [14, 77, 98] from Operation: 61+37=98 Current State: 35:[14, 77, 98], Operations: ['61+37=98'] Exploring Operation: 77-14=63, Resulting Numbers: [98, 63] Generated Node #3: [98, 63] from Operation: 77-14=63 Current State: 35:[98, 63], Operations: ['61+37=98', '77-14=63'] Exploring Operation: 98-63=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 28, 39, 12, 7 ]
84
[ "28*39=1092", "1092/12=91", "91-7=84" ]
Current State: 84:[28, 39, 12, 7], Operations: [] Exploring Operation: 28*39=1092, Resulting Numbers: [12, 7, 1092] Generated Node #2: [12, 7, 1092] from Operation: 28*39=1092 Current State: 84:[12, 7, 1092], Operations: ['28*39=1092'] Exploring Operation: 1092/12=91, Resulting Numbers: [7, 91] Generated Node #3: [7, 91] from Operation: 1092/12=91 Current State: 84:[7, 91], Operations: ['28*39=1092', '1092/12=91'] Exploring Operation: 91-7=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 16, 77, 50, 46 ]
13
[ "50-46=4", "16*4=64", "77-64=13" ]
Current State: 13:[16, 77, 50, 46], Operations: [] Exploring Operation: 50-46=4, Resulting Numbers: [16, 77, 4] Generated Node #2: [16, 77, 4] from Operation: 50-46=4 Current State: 13:[16, 77, 4], Operations: ['50-46=4'] Exploring Operation: 16*4=64, Resulting Numbers: [77, 64] Generated Node #3: [77, 64] from Operation: 16*4=64 Current State: 13:[77, 64], Operations: ['50-46=4', '16*4=64'] Exploring Operation: 77-64=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 25, 83, 30, 67 ]
30
[ "30-25=5", "83+67=150", "150/5=30" ]
Current State: 30:[25, 83, 30, 67], Operations: [] Exploring Operation: 30-25=5, Resulting Numbers: [83, 67, 5] Generated Node #2: [83, 67, 5] from Operation: 30-25=5 Current State: 30:[83, 67, 5], Operations: ['30-25=5'] Exploring Operation: 83+67=150, Resulting Numbers: [5, 150] Generated Node #3: [5, 150] from Operation: 83+67=150 Current State: 30:[5, 150], Operations: ['30-25=5', '83+67=150'] Exploring Operation: 150/5=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 78, 47, 43, 6 ]
93
[ "47+43=90", "90/6=15", "78+15=93" ]
Current State: 93:[78, 47, 43, 6], Operations: [] Exploring Operation: 47+43=90, Resulting Numbers: [78, 6, 90] Generated Node #2: [78, 6, 90] from Operation: 47+43=90 Current State: 93:[78, 6, 90], Operations: ['47+43=90'] Exploring Operation: 90/6=15, Resulting Numbers: [78, 15] Generated Node #3: [78, 15] from Operation: 90/6=15 Current State: 93:[78, 15], Operations: ['47+43=90', '90/6=15'] Exploring Operation: 78+15=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 21, 26, 22, 2 ]
82
[ "26-22=4", "21*4=84", "84-2=82" ]
Current State: 82:[21, 26, 22, 2], Operations: [] Exploring Operation: 26-22=4, Resulting Numbers: [21, 2, 4] Generated Node #2: [21, 2, 4] from Operation: 26-22=4 Current State: 82:[21, 2, 4], Operations: ['26-22=4'] Exploring Operation: 21*4=84, Resulting Numbers: [2, 84] Generated Node #3: [2, 84] from Operation: 21*4=84 Current State: 82:[2, 84], Operations: ['26-22=4', '21*4=84'] Exploring Operation: 84-2=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 65, 31, 85, 54 ]
66
[ "85-31=54", "54/54=1", "65+1=66" ]
Current State: 66:[65, 31, 85, 54], Operations: [] Exploring Operation: 85-31=54, Resulting Numbers: [65, 54, 54] Generated Node #2: [65, 54, 54] from Operation: 85-31=54 Current State: 66:[65, 54, 54], Operations: ['85-31=54'] Exploring Operation: 54/54=1, Resulting Numbers: [65, 1] Generated Node #3: [65, 1] from Operation: 54/54=1 Current State: 66:[65, 1], Operations: ['85-31=54', '54/54=1'] Exploring Operation: 65+1=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 33, 65, 16, 23 ]
14
[ "33+65=98", "23-16=7", "98/7=14" ]
Current State: 14:[33, 65, 16, 23], Operations: [] Exploring Operation: 33+65=98, Resulting Numbers: [16, 23, 98] Generated Node #2: [16, 23, 98] from Operation: 33+65=98 Current State: 14:[16, 23, 98], Operations: ['33+65=98'] Exploring Operation: 23-16=7, Resulting Numbers: [98, 7] Generated Node #3: [98, 7] from Operation: 23-16=7 Current State: 14:[98, 7], Operations: ['33+65=98', '23-16=7'] Exploring Operation: 98/7=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 91, 2, 84, 14 ]
63
[ "91+14=105", "2*84=168", "168-105=63" ]
Current State: 63:[91, 2, 84, 14], Operations: [] Exploring Operation: 91+14=105, Resulting Numbers: [2, 84, 105] Generated Node #2: [2, 84, 105] from Operation: 91+14=105 Current State: 63:[2, 84, 105], Operations: ['91+14=105'] Exploring Operation: 2*84=168, Resulting Numbers: [105, 168] Generated Node #3: [105, 168] from Operation: 2*84=168 Current State: 63:[105, 168], Operations: ['91+14=105', '2*84=168'] Exploring Operation: 168-105=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 85, 96, 77, 22 ]
10
[ "85-77=8", "96/8=12", "22-12=10" ]
Current State: 10:[85, 96, 77, 22], Operations: [] Exploring Operation: 85-77=8, Resulting Numbers: [96, 22, 8] Generated Node #2: [96, 22, 8] from Operation: 85-77=8 Current State: 10:[96, 22, 8], Operations: ['85-77=8'] Exploring Operation: 96/8=12, Resulting Numbers: [22, 12] Generated Node #3: [22, 12] from Operation: 96/8=12 Current State: 10:[22, 12], Operations: ['85-77=8', '96/8=12'] Exploring Operation: 22-12=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 42, 11, 46, 7 ]
15
[ "42+46=88", "88/11=8", "7+8=15" ]
Current State: 15:[42, 11, 46, 7], Operations: [] Exploring Operation: 42+46=88, Resulting Numbers: [11, 7, 88] Generated Node #2: [11, 7, 88] from Operation: 42+46=88 Current State: 15:[11, 7, 88], Operations: ['42+46=88'] Exploring Operation: 88/11=8, Resulting Numbers: [7, 8] Generated Node #3: [7, 8] from Operation: 88/11=8 Current State: 15:[7, 8], Operations: ['42+46=88', '88/11=8'] Exploring Operation: 7+8=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 84, 78, 72, 15 ]
63
[ "84-78=6", "72-15=57", "6+57=63" ]
Current State: 63:[84, 78, 72, 15], Operations: [] Exploring Operation: 84-78=6, Resulting Numbers: [72, 15, 6] Generated Node #2: [72, 15, 6] from Operation: 84-78=6 Current State: 63:[72, 15, 6], Operations: ['84-78=6'] Exploring Operation: 72-15=57, Resulting Numbers: [6, 57] Generated Node #3: [6, 57] from Operation: 72-15=57 Current State: 63:[6, 57], Operations: ['84-78=6', '72-15=57'] Exploring Operation: 6+57=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 65, 5, 72, 77 ]
90
[ "77-72=5", "5*5=25", "65+25=90" ]
Current State: 90:[65, 5, 72, 77], Operations: [] Exploring Operation: 77-72=5, Resulting Numbers: [65, 5, 5] Generated Node #2: [65, 5, 5] from Operation: 77-72=5 Current State: 90:[65, 5, 5], Operations: ['77-72=5'] Exploring Operation: 5*5=25, Resulting Numbers: [65, 25] Generated Node #3: [65, 25] from Operation: 5*5=25 Current State: 90:[65, 25], Operations: ['77-72=5', '5*5=25'] Exploring Operation: 65+25=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 4, 71, 77, 95 ]
57
[ "4+71=75", "95-77=18", "75-18=57" ]
Current State: 57:[4, 71, 77, 95], Operations: [] Exploring Operation: 4+71=75, Resulting Numbers: [77, 95, 75] Generated Node #2: [77, 95, 75] from Operation: 4+71=75 Current State: 57:[77, 95, 75], Operations: ['4+71=75'] Exploring Operation: 95-77=18, Resulting Numbers: [75, 18] Generated Node #3: [75, 18] from Operation: 95-77=18 Current State: 57:[75, 18], Operations: ['4+71=75', '95-77=18'] Exploring Operation: 75-18=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 58, 16, 75, 82 ]
49
[ "58-16=42", "82-75=7", "42+7=49" ]
Current State: 49:[58, 16, 75, 82], Operations: [] Exploring Operation: 58-16=42, Resulting Numbers: [75, 82, 42] Generated Node #2: [75, 82, 42] from Operation: 58-16=42 Current State: 49:[75, 82, 42], Operations: ['58-16=42'] Exploring Operation: 82-75=7, Resulting Numbers: [42, 7] Generated Node #3: [42, 7] from Operation: 82-75=7 Current State: 49:[42, 7], Operations: ['58-16=42', '82-75=7'] Exploring Operation: 42+7=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 3, 91, 71, 65 ]
89
[ "71-65=6", "6/3=2", "91-2=89" ]
Current State: 89:[3, 91, 71, 65], Operations: [] Exploring Operation: 71-65=6, Resulting Numbers: [3, 91, 6] Generated Node #2: [3, 91, 6] from Operation: 71-65=6 Current State: 89:[3, 91, 6], Operations: ['71-65=6'] Exploring Operation: 6/3=2, Resulting Numbers: [91, 2] Generated Node #3: [91, 2] from Operation: 6/3=2 Current State: 89:[91, 2], Operations: ['71-65=6', '6/3=2'] Exploring Operation: 91-2=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 82, 82, 22, 76 ]
76
[ "82-82=0", "22*0=0", "76+0=76" ]
Current State: 76:[82, 82, 22, 76], Operations: [] Exploring Operation: 82-82=0, Resulting Numbers: [22, 76, 0] Generated Node #2: [22, 76, 0] from Operation: 82-82=0 Current State: 76:[22, 76, 0], Operations: ['82-82=0'] Exploring Operation: 22*0=0, Resulting Numbers: [76, 0] Generated Node #3: [76, 0] from Operation: 22*0=0 Current State: 76:[76, 0], Operations: ['82-82=0', '22*0=0'] Exploring Operation: 76+0=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 19, 8, 55, 95 ]
52
[ "95/19=5", "55-8=47", "5+47=52" ]
Current State: 52:[19, 8, 55, 95], Operations: [] Exploring Operation: 95/19=5, Resulting Numbers: [8, 55, 5] Generated Node #2: [8, 55, 5] from Operation: 95/19=5 Current State: 52:[8, 55, 5], Operations: ['95/19=5'] Exploring Operation: 55-8=47, Resulting Numbers: [5, 47] Generated Node #3: [5, 47] from Operation: 55-8=47 Current State: 52:[5, 47], Operations: ['95/19=5', '55-8=47'] Exploring Operation: 5+47=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 18, 95, 32, 5 ]
40
[ "95-18=77", "32+5=37", "77-37=40" ]
Current State: 40:[18, 95, 32, 5], Operations: [] Exploring Operation: 95-18=77, Resulting Numbers: [32, 5, 77] Generated Node #2: [32, 5, 77] from Operation: 95-18=77 Current State: 40:[32, 5, 77], Operations: ['95-18=77'] Exploring Operation: 32+5=37, Resulting Numbers: [77, 37] Generated Node #3: [77, 37] from Operation: 32+5=37 Current State: 40:[77, 37], Operations: ['95-18=77', '32+5=37'] Exploring Operation: 77-37=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 3, 83, 74, 38 ]
35
[ "83-74=9", "9/3=3", "38-3=35" ]
Current State: 35:[3, 83, 74, 38], Operations: [] Exploring Operation: 83-74=9, Resulting Numbers: [3, 38, 9] Generated Node #2: [3, 38, 9] from Operation: 83-74=9 Current State: 35:[3, 38, 9], Operations: ['83-74=9'] Exploring Operation: 9/3=3, Resulting Numbers: [38, 3] Generated Node #3: [38, 3] from Operation: 9/3=3 Current State: 35:[38, 3], Operations: ['83-74=9', '9/3=3'] Exploring Operation: 38-3=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 50, 32, 7, 6 ]
21
[ "50-32=18", "7*18=126", "126/6=21" ]
Current State: 21:[50, 32, 7, 6], Operations: [] Exploring Operation: 50-32=18, Resulting Numbers: [7, 6, 18] Generated Node #2: [7, 6, 18] from Operation: 50-32=18 Current State: 21:[7, 6, 18], Operations: ['50-32=18'] Exploring Operation: 7*18=126, Resulting Numbers: [6, 126] Generated Node #3: [6, 126] from Operation: 7*18=126 Current State: 21:[6, 126], Operations: ['50-32=18', '7*18=126'] Exploring Operation: 126/6=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 74, 84, 13, 71 ]
48
[ "84-74=10", "71-13=58", "58-10=48" ]
Current State: 48:[74, 84, 13, 71], Operations: [] Exploring Operation: 84-74=10, Resulting Numbers: [13, 71, 10] Generated Node #2: [13, 71, 10] from Operation: 84-74=10 Current State: 48:[13, 71, 10], Operations: ['84-74=10'] Exploring Operation: 71-13=58, Resulting Numbers: [10, 58] Generated Node #3: [10, 58] from Operation: 71-13=58 Current State: 48:[10, 58], Operations: ['84-74=10', '71-13=58'] Exploring Operation: 58-10=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 90, 54, 99, 50 ]
85
[ "90-54=36", "99-50=49", "36+49=85" ]
Current State: 85:[90, 54, 99, 50], Operations: [] Exploring Operation: 90-54=36, Resulting Numbers: [99, 50, 36] Generated Node #2: [99, 50, 36] from Operation: 90-54=36 Current State: 85:[99, 50, 36], Operations: ['90-54=36'] Exploring Operation: 99-50=49, Resulting Numbers: [36, 49] Generated Node #3: [36, 49] from Operation: 99-50=49 Current State: 85:[36, 49], Operations: ['90-54=36', '99-50=49'] Exploring Operation: 36+49=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 92, 24, 48, 24 ]
90
[ "92*24=2208", "2208-48=2160", "2160/24=90" ]
Current State: 90:[92, 24, 48, 24], Operations: [] Exploring Operation: 92*24=2208, Resulting Numbers: [48, 2208] Generated Node #2: [48, 2208] from Operation: 92*24=2208 Current State: 90:[48, 2208], Operations: ['92*24=2208'] Exploring Operation: 2208-48=2160, Resulting Numbers: [2160] 2160,90 equal: Goal Reached Exploring Operation: 2160/24=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 44, 60, 67, 13 ]
50
[ "44+60=104", "67-13=54", "104-54=50" ]
Current State: 50:[44, 60, 67, 13], Operations: [] Exploring Operation: 44+60=104, Resulting Numbers: [67, 13, 104] Generated Node #2: [67, 13, 104] from Operation: 44+60=104 Current State: 50:[67, 13, 104], Operations: ['44+60=104'] Exploring Operation: 67-13=54, Resulting Numbers: [104, 54] Generated Node #3: [104, 54] from Operation: 67-13=54 Current State: 50:[104, 54], Operations: ['44+60=104', '67-13=54'] Exploring Operation: 104-54=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 35, 70, 85, 94 ]
11
[ "70/35=2", "94-85=9", "2+9=11" ]
Current State: 11:[35, 70, 85, 94], Operations: [] Exploring Operation: 70/35=2, Resulting Numbers: [85, 94, 2] Generated Node #2: [85, 94, 2] from Operation: 70/35=2 Current State: 11:[85, 94, 2], Operations: ['70/35=2'] Exploring Operation: 94-85=9, Resulting Numbers: [2, 9] Generated Node #3: [2, 9] from Operation: 94-85=9 Current State: 11:[2, 9], Operations: ['70/35=2', '94-85=9'] Exploring Operation: 2+9=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 71, 22, 17, 52 ]
95
[ "71-52=19", "22-17=5", "19*5=95" ]
Current State: 95:[71, 22, 17, 52], Operations: [] Exploring Operation: 71-52=19, Resulting Numbers: [22, 17, 19] Generated Node #2: [22, 17, 19] from Operation: 71-52=19 Current State: 95:[22, 17, 19], Operations: ['71-52=19'] Exploring Operation: 22-17=5, Resulting Numbers: [19, 5] Generated Node #3: [19, 5] from Operation: 22-17=5 Current State: 95:[19, 5], Operations: ['71-52=19', '22-17=5'] Exploring Operation: 19*5=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 3, 52, 24, 14 ]
70
[ "3*14=42", "52-24=28", "42+28=70" ]
Current State: 70:[3, 52, 24, 14], Operations: [] Exploring Operation: 3*14=42, Resulting Numbers: [52, 24, 42] Generated Node #2: [52, 24, 42] from Operation: 3*14=42 Current State: 70:[52, 24, 42], Operations: ['3*14=42'] Exploring Operation: 52-24=28, Resulting Numbers: [42, 28] Generated Node #3: [42, 28] from Operation: 52-24=28 Current State: 70:[42, 28], Operations: ['3*14=42', '52-24=28'] Exploring Operation: 42+28=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 55, 60, 72, 68 ]
70
[ "72-68=4", "60/4=15", "55+15=70" ]
Current State: 70:[55, 60, 72, 68], Operations: [] Exploring Operation: 72-68=4, Resulting Numbers: [55, 60, 4] Generated Node #2: [55, 60, 4] from Operation: 72-68=4 Current State: 70:[55, 60, 4], Operations: ['72-68=4'] Exploring Operation: 60/4=15, Resulting Numbers: [55, 15] Generated Node #3: [55, 15] from Operation: 60/4=15 Current State: 70:[55, 15], Operations: ['72-68=4', '60/4=15'] Exploring Operation: 55+15=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 52, 57, 4, 11 ]
49
[ "57-52=5", "4*11=44", "5+44=49" ]
Current State: 49:[52, 57, 4, 11], Operations: [] Exploring Operation: 57-52=5, Resulting Numbers: [4, 11, 5] Generated Node #2: [4, 11, 5] from Operation: 57-52=5 Current State: 49:[4, 11, 5], Operations: ['57-52=5'] Exploring Operation: 4*11=44, Resulting Numbers: [5, 44] Generated Node #3: [5, 44] from Operation: 4*11=44 Current State: 49:[5, 44], Operations: ['57-52=5', '4*11=44'] Exploring Operation: 5+44=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 91, 25, 36, 70 ]
40
[ "91-25=66", "36+70=106", "106-66=40" ]
Current State: 40:[91, 25, 36, 70], Operations: [] Exploring Operation: 91-25=66, Resulting Numbers: [36, 70, 66] Generated Node #2: [36, 70, 66] from Operation: 91-25=66 Current State: 40:[36, 70, 66], Operations: ['91-25=66'] Exploring Operation: 36+70=106, Resulting Numbers: [66, 106] Generated Node #3: [66, 106] from Operation: 36+70=106 Current State: 40:[66, 106], Operations: ['91-25=66', '36+70=106'] Exploring Operation: 106-66=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 98, 2, 44, 57 ]
30
[ "98-44=54", "54/2=27", "57-27=30" ]
Current State: 30:[98, 2, 44, 57], Operations: [] Exploring Operation: 98-44=54, Resulting Numbers: [2, 57, 54] Generated Node #2: [2, 57, 54] from Operation: 98-44=54 Current State: 30:[2, 57, 54], Operations: ['98-44=54'] Exploring Operation: 54/2=27, Resulting Numbers: [57, 27] Generated Node #3: [57, 27] from Operation: 54/2=27 Current State: 30:[57, 27], Operations: ['98-44=54', '54/2=27'] Exploring Operation: 57-27=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 10, 37, 35, 41 ]
72
[ "37-35=2", "41*2=82", "82-10=72" ]
Current State: 72:[10, 37, 35, 41], Operations: [] Exploring Operation: 37-35=2, Resulting Numbers: [10, 41, 2] Generated Node #2: [10, 41, 2] from Operation: 37-35=2 Current State: 72:[10, 41, 2], Operations: ['37-35=2'] Exploring Operation: 41*2=82, Resulting Numbers: [10, 82] Generated Node #3: [10, 82] from Operation: 41*2=82 Current State: 72:[10, 82], Operations: ['37-35=2', '41*2=82'] Exploring Operation: 82-10=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 57, 86, 30, 85 ]
43
[ "57+30=87", "87-85=2", "86/2=43" ]
Current State: 43:[57, 86, 30, 85], Operations: [] Exploring Operation: 57+30=87, Resulting Numbers: [86, 85, 87] Generated Node #2: [86, 85, 87] from Operation: 57+30=87 Current State: 43:[86, 85, 87], Operations: ['57+30=87'] Exploring Operation: 87-85=2, Resulting Numbers: [86, 2] Generated Node #3: [86, 2] from Operation: 87-85=2 Current State: 43:[86, 2], Operations: ['57+30=87', '87-85=2'] Exploring Operation: 86/2=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 22, 21, 65, 85 ]
87
[ "65-21=44", "44/22=2", "85+2=87" ]
Current State: 87:[22, 21, 65, 85], Operations: [] Exploring Operation: 65-21=44, Resulting Numbers: [22, 85, 44] Generated Node #2: [22, 85, 44] from Operation: 65-21=44 Current State: 87:[22, 85, 44], Operations: ['65-21=44'] Exploring Operation: 44/22=2, Resulting Numbers: [85, 2] Generated Node #3: [85, 2] from Operation: 44/22=2 Current State: 87:[85, 2], Operations: ['65-21=44', '44/22=2'] Exploring Operation: 85+2=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 65, 62, 6, 37 ]
79
[ "65+37=102", "102/6=17", "62+17=79" ]
Current State: 79:[65, 62, 6, 37], Operations: [] Exploring Operation: 65+37=102, Resulting Numbers: [62, 6, 102] Generated Node #2: [62, 6, 102] from Operation: 65+37=102 Current State: 79:[62, 6, 102], Operations: ['65+37=102'] Exploring Operation: 102/6=17, Resulting Numbers: [62, 17] Generated Node #3: [62, 17] from Operation: 102/6=17 Current State: 79:[62, 17], Operations: ['65+37=102', '102/6=17'] Exploring Operation: 62+17=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 10, 50, 86, 73 ]
27
[ "50-10=40", "86-73=13", "40-13=27" ]
Current State: 27:[10, 50, 86, 73], Operations: [] Exploring Operation: 50-10=40, Resulting Numbers: [86, 73, 40] Generated Node #2: [86, 73, 40] from Operation: 50-10=40 Current State: 27:[86, 73, 40], Operations: ['50-10=40'] Exploring Operation: 86-73=13, Resulting Numbers: [40, 13] Generated Node #3: [40, 13] from Operation: 86-73=13 Current State: 27:[40, 13], Operations: ['50-10=40', '86-73=13'] Exploring Operation: 40-13=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 56, 4, 72, 52 ]
72
[ "56-4=52", "72+52=124", "124-52=72" ]
Current State: 72:[56, 4, 72, 52], Operations: [] Exploring Operation: 56-4=52, Resulting Numbers: [72, 52, 52] Generated Node #2: [72, 52, 52] from Operation: 56-4=52 Current State: 72:[72, 52, 52], Operations: ['56-4=52'] Exploring Operation: 72+52=124, Resulting Numbers: [124] 124,72 equal: Goal Reached Exploring Operation: 124-52=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 39, 25, 93, 31 ]
67
[ "39+25=64", "93/31=3", "64+3=67" ]
Current State: 67:[39, 25, 93, 31], Operations: [] Exploring Operation: 39+25=64, Resulting Numbers: [93, 31, 64] Generated Node #2: [93, 31, 64] from Operation: 39+25=64 Current State: 67:[93, 31, 64], Operations: ['39+25=64'] Exploring Operation: 93/31=3, Resulting Numbers: [64, 3] Generated Node #3: [64, 3] from Operation: 93/31=3 Current State: 67:[64, 3], Operations: ['39+25=64', '93/31=3'] Exploring Operation: 64+3=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 21, 32, 48, 99 ]
94
[ "21+32=53", "48+99=147", "147-53=94" ]
Current State: 94:[21, 32, 48, 99], Operations: [] Exploring Operation: 21+32=53, Resulting Numbers: [48, 99, 53] Generated Node #2: [48, 99, 53] from Operation: 21+32=53 Current State: 94:[48, 99, 53], Operations: ['21+32=53'] Exploring Operation: 48+99=147, Resulting Numbers: [53, 147] Generated Node #3: [53, 147] from Operation: 48+99=147 Current State: 94:[53, 147], Operations: ['21+32=53', '48+99=147'] Exploring Operation: 147-53=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 96, 52, 40, 80 ]
70
[ "52*40=2080", "2080/80=26", "96-26=70" ]
Current State: 70:[96, 52, 40, 80], Operations: [] Exploring Operation: 52*40=2080, Resulting Numbers: [96, 80, 2080] Generated Node #2: [96, 80, 2080] from Operation: 52*40=2080 Current State: 70:[96, 80, 2080], Operations: ['52*40=2080'] Exploring Operation: 2080/80=26, Resulting Numbers: [96, 26] Generated Node #3: [96, 26] from Operation: 2080/80=26 Current State: 70:[96, 26], Operations: ['52*40=2080', '2080/80=26'] Exploring Operation: 96-26=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 14, 61, 54, 45 ]
90
[ "14+61=75", "54*75=4050", "4050/45=90" ]
Current State: 90:[14, 61, 54, 45], Operations: [] Exploring Operation: 14+61=75, Resulting Numbers: [54, 45, 75] Generated Node #2: [54, 45, 75] from Operation: 14+61=75 Current State: 90:[54, 45, 75], Operations: ['14+61=75'] Exploring Operation: 54*75=4050, Resulting Numbers: [45, 4050] Generated Node #3: [45, 4050] from Operation: 54*75=4050 Current State: 90:[45, 4050], Operations: ['14+61=75', '54*75=4050'] Exploring Operation: 4050/45=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 91, 78, 90, 7 ]
72
[ "91+78=169", "90+7=97", "169-97=72" ]
Current State: 72:[91, 78, 90, 7], Operations: [] Exploring Operation: 91+78=169, Resulting Numbers: [90, 7, 169] Generated Node #2: [90, 7, 169] from Operation: 91+78=169 Current State: 72:[90, 7, 169], Operations: ['91+78=169'] Exploring Operation: 90+7=97, Resulting Numbers: [169, 97] Generated Node #3: [169, 97] from Operation: 90+7=97 Current State: 72:[169, 97], Operations: ['91+78=169', '90+7=97'] Exploring Operation: 169-97=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 61, 84, 85, 37 ]
98
[ "61+37=98", "85-84=1", "98*1=98" ]
Current State: 98:[61, 84, 85, 37], Operations: [] Exploring Operation: 61+37=98, Resulting Numbers: [84, 85, 98] Generated Node #2: [84, 85, 98] from Operation: 61+37=98 Current State: 98:[84, 85, 98], Operations: ['61+37=98'] Exploring Operation: 85-84=1, Resulting Numbers: [98, 1] Generated Node #3: [98, 1] from Operation: 85-84=1 Current State: 98:[98, 1], Operations: ['61+37=98', '85-84=1'] Exploring Operation: 98*1=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 32, 15, 30, 28 ]
62
[ "32+28=60", "30/15=2", "60+2=62" ]
Current State: 62:[32, 15, 30, 28], Operations: [] Exploring Operation: 32+28=60, Resulting Numbers: [15, 30, 60] Generated Node #2: [15, 30, 60] from Operation: 32+28=60 Current State: 62:[15, 30, 60], Operations: ['32+28=60'] Exploring Operation: 30/15=2, Resulting Numbers: [60, 2] Generated Node #3: [60, 2] from Operation: 30/15=2 Current State: 62:[60, 2], Operations: ['32+28=60', '30/15=2'] Exploring Operation: 60+2=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 91, 3, 67, 61 ]
88
[ "91+3=94", "67-61=6", "94-6=88" ]
Current State: 88:[91, 3, 67, 61], Operations: [] Exploring Operation: 91+3=94, Resulting Numbers: [67, 61, 94] Generated Node #2: [67, 61, 94] from Operation: 91+3=94 Current State: 88:[67, 61, 94], Operations: ['91+3=94'] Exploring Operation: 67-61=6, Resulting Numbers: [94, 6] Generated Node #3: [94, 6] from Operation: 67-61=6 Current State: 88:[94, 6], Operations: ['91+3=94', '67-61=6'] Exploring Operation: 94-6=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 80, 9, 14, 36 ]
10
[ "80+36=116", "9*14=126", "126-116=10" ]
Current State: 10:[80, 9, 14, 36], Operations: [] Exploring Operation: 80+36=116, Resulting Numbers: [9, 14, 116] Generated Node #2: [9, 14, 116] from Operation: 80+36=116 Current State: 10:[9, 14, 116], Operations: ['80+36=116'] Exploring Operation: 9*14=126, Resulting Numbers: [116, 126] Generated Node #3: [116, 126] from Operation: 9*14=126 Current State: 10:[116, 126], Operations: ['80+36=116', '9*14=126'] Exploring Operation: 126-116=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 75, 50, 17, 85 ]
12
[ "85-75=10", "50/10=5", "17-5=12" ]
Current State: 12:[75, 50, 17, 85], Operations: [] Exploring Operation: 85-75=10, Resulting Numbers: [50, 17, 10] Generated Node #2: [50, 17, 10] from Operation: 85-75=10 Current State: 12:[50, 17, 10], Operations: ['85-75=10'] Exploring Operation: 50/10=5, Resulting Numbers: [17, 5] Generated Node #3: [17, 5] from Operation: 50/10=5 Current State: 12:[17, 5], Operations: ['85-75=10', '50/10=5'] Exploring Operation: 17-5=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 89, 60, 78, 27 ]
98
[ "89+60=149", "78-27=51", "149-51=98" ]
Current State: 98:[89, 60, 78, 27], Operations: [] Exploring Operation: 89+60=149, Resulting Numbers: [78, 27, 149] Generated Node #2: [78, 27, 149] from Operation: 89+60=149 Current State: 98:[78, 27, 149], Operations: ['89+60=149'] Exploring Operation: 78-27=51, Resulting Numbers: [149, 51] Generated Node #3: [149, 51] from Operation: 78-27=51 Current State: 98:[149, 51], Operations: ['89+60=149', '78-27=51'] Exploring Operation: 149-51=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 23, 62, 64, 72 ]
77
[ "23+62=85", "72-64=8", "85-8=77" ]
Current State: 77:[23, 62, 64, 72], Operations: [] Exploring Operation: 23+62=85, Resulting Numbers: [64, 72, 85] Generated Node #2: [64, 72, 85] from Operation: 23+62=85 Current State: 77:[64, 72, 85], Operations: ['23+62=85'] Exploring Operation: 72-64=8, Resulting Numbers: [85, 8] Generated Node #3: [85, 8] from Operation: 72-64=8 Current State: 77:[85, 8], Operations: ['23+62=85', '72-64=8'] Exploring Operation: 85-8=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 50, 69, 43, 83 ]
79
[ "50+69=119", "83-43=40", "119-40=79" ]
Current State: 79:[50, 69, 43, 83], Operations: [] Exploring Operation: 50+69=119, Resulting Numbers: [43, 83, 119] Generated Node #2: [43, 83, 119] from Operation: 50+69=119 Current State: 79:[43, 83, 119], Operations: ['50+69=119'] Exploring Operation: 83-43=40, Resulting Numbers: [119, 40] Generated Node #3: [119, 40] from Operation: 83-43=40 Current State: 79:[119, 40], Operations: ['50+69=119', '83-43=40'] Exploring Operation: 119-40=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 95, 64, 91, 72 ]
59
[ "91-72=19", "95/19=5", "64-5=59" ]
Current State: 59:[95, 64, 91, 72], Operations: [] Exploring Operation: 91-72=19, Resulting Numbers: [95, 64, 19] Generated Node #2: [95, 64, 19] from Operation: 91-72=19 Current State: 59:[95, 64, 19], Operations: ['91-72=19'] Exploring Operation: 95/19=5, Resulting Numbers: [64, 5] Generated Node #3: [64, 5] from Operation: 95/19=5 Current State: 59:[64, 5], Operations: ['91-72=19', '95/19=5'] Exploring Operation: 64-5=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 82, 25, 16, 96 ]
50
[ "82+16=98", "98-96=2", "25*2=50" ]
Current State: 50:[82, 25, 16, 96], Operations: [] Exploring Operation: 82+16=98, Resulting Numbers: [25, 96, 98] Generated Node #2: [25, 96, 98] from Operation: 82+16=98 Current State: 50:[25, 96, 98], Operations: ['82+16=98'] Exploring Operation: 98-96=2, Resulting Numbers: [25, 2] Generated Node #3: [25, 2] from Operation: 98-96=2 Current State: 50:[25, 2], Operations: ['82+16=98', '98-96=2'] Exploring Operation: 25*2=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 9, 42, 38, 11 ]
63
[ "42-38=4", "11-4=7", "9*7=63" ]
Current State: 63:[9, 42, 38, 11], Operations: [] Exploring Operation: 42-38=4, Resulting Numbers: [9, 11, 4] Generated Node #2: [9, 11, 4] from Operation: 42-38=4 Current State: 63:[9, 11, 4], Operations: ['42-38=4'] Exploring Operation: 11-4=7, Resulting Numbers: [9, 7] Generated Node #3: [9, 7] from Operation: 11-4=7 Current State: 63:[9, 7], Operations: ['42-38=4', '11-4=7'] Exploring Operation: 9*7=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 30, 13, 69, 11 ]
54
[ "13-11=2", "30/2=15", "69-15=54" ]
Current State: 54:[30, 13, 69, 11], Operations: [] Exploring Operation: 13-11=2, Resulting Numbers: [30, 69, 2] Generated Node #2: [30, 69, 2] from Operation: 13-11=2 Current State: 54:[30, 69, 2], Operations: ['13-11=2'] Exploring Operation: 30/2=15, Resulting Numbers: [69, 15] Generated Node #3: [69, 15] from Operation: 30/2=15 Current State: 54:[69, 15], Operations: ['13-11=2', '30/2=15'] Exploring Operation: 69-15=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 4, 2, 63, 19 ]
20
[ "63-4=59", "59-19=40", "40/2=20" ]
Current State: 20:[4, 2, 63, 19], Operations: [] Exploring Operation: 63-4=59, Resulting Numbers: [2, 19, 59] Generated Node #2: [2, 19, 59] from Operation: 63-4=59 Current State: 20:[2, 19, 59], Operations: ['63-4=59'] Exploring Operation: 59-19=40, Resulting Numbers: [2, 40] Generated Node #3: [2, 40] from Operation: 59-19=40 Current State: 20:[2, 40], Operations: ['63-4=59', '59-19=40'] Exploring Operation: 40/2=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 2, 11, 24, 23 ]
33
[ "2+24=26", "26-23=3", "11*3=33" ]
Current State: 33:[2, 11, 24, 23], Operations: [] Exploring Operation: 2+24=26, Resulting Numbers: [11, 23, 26] Generated Node #2: [11, 23, 26] from Operation: 2+24=26 Current State: 33:[11, 23, 26], Operations: ['2+24=26'] Exploring Operation: 26-23=3, Resulting Numbers: [11, 3] Generated Node #3: [11, 3] from Operation: 26-23=3 Current State: 33:[11, 3], Operations: ['2+24=26', '26-23=3'] Exploring Operation: 11*3=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 45, 12, 27, 39 ]
85
[ "12+39=51", "45*51=2295", "2295/27=85" ]
Current State: 85:[45, 12, 27, 39], Operations: [] Exploring Operation: 12+39=51, Resulting Numbers: [45, 27, 51] Generated Node #2: [45, 27, 51] from Operation: 12+39=51 Current State: 85:[45, 27, 51], Operations: ['12+39=51'] Exploring Operation: 45*51=2295, Resulting Numbers: [27, 2295] Generated Node #3: [27, 2295] from Operation: 45*51=2295 Current State: 85:[27, 2295], Operations: ['12+39=51', '45*51=2295'] Exploring Operation: 2295/27=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 1, 17, 12, 36 ]
41
[ "1*17=17", "36-12=24", "17+24=41" ]
Current State: 41:[1, 17, 12, 36], Operations: [] Exploring Operation: 1*17=17, Resulting Numbers: [12, 36, 17] Generated Node #2: [12, 36, 17] from Operation: 1*17=17 Current State: 41:[12, 36, 17], Operations: ['1*17=17'] Exploring Operation: 36-12=24, Resulting Numbers: [17, 24] Generated Node #3: [17, 24] from Operation: 36-12=24 Current State: 41:[17, 24], Operations: ['1*17=17', '36-12=24'] Exploring Operation: 17+24=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 13, 36, 78, 41 ]
47
[ "13*36=468", "468/78=6", "41+6=47" ]
Current State: 47:[13, 36, 78, 41], Operations: [] Exploring Operation: 13*36=468, Resulting Numbers: [78, 41, 468] Generated Node #2: [78, 41, 468] from Operation: 13*36=468 Current State: 47:[78, 41, 468], Operations: ['13*36=468'] Exploring Operation: 468/78=6, Resulting Numbers: [41, 6] Generated Node #3: [41, 6] from Operation: 468/78=6 Current State: 47:[41, 6], Operations: ['13*36=468', '468/78=6'] Exploring Operation: 41+6=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 33, 83, 53, 61 ]
58
[ "83-33=50", "61-53=8", "50+8=58" ]
Current State: 58:[33, 83, 53, 61], Operations: [] Exploring Operation: 83-33=50, Resulting Numbers: [53, 61, 50] Generated Node #2: [53, 61, 50] from Operation: 83-33=50 Current State: 58:[53, 61, 50], Operations: ['83-33=50'] Exploring Operation: 61-53=8, Resulting Numbers: [50, 8] Generated Node #3: [50, 8] from Operation: 61-53=8 Current State: 58:[50, 8], Operations: ['83-33=50', '61-53=8'] Exploring Operation: 50+8=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 76, 12, 79, 46 ]
37
[ "76+12=88", "79+46=125", "125-88=37" ]
Current State: 37:[76, 12, 79, 46], Operations: [] Exploring Operation: 76+12=88, Resulting Numbers: [79, 46, 88] Generated Node #2: [79, 46, 88] from Operation: 76+12=88 Current State: 37:[79, 46, 88], Operations: ['76+12=88'] Exploring Operation: 79+46=125, Resulting Numbers: [88, 125] Generated Node #3: [88, 125] from Operation: 79+46=125 Current State: 37:[88, 125], Operations: ['76+12=88', '79+46=125'] Exploring Operation: 125-88=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 39, 90, 79, 95 ]
45
[ "39+90=129", "79+95=174", "174-129=45" ]
Current State: 45:[39, 90, 79, 95], Operations: [] Exploring Operation: 39+90=129, Resulting Numbers: [79, 95, 129] Generated Node #2: [79, 95, 129] from Operation: 39+90=129 Current State: 45:[79, 95, 129], Operations: ['39+90=129'] Exploring Operation: 79+95=174, Resulting Numbers: [129, 174] Generated Node #3: [129, 174] from Operation: 79+95=174 Current State: 45:[129, 174], Operations: ['39+90=129', '79+95=174'] Exploring Operation: 174-129=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 36, 81, 73, 95 ]
51
[ "36+81=117", "73+95=168", "168-117=51" ]
Current State: 51:[36, 81, 73, 95], Operations: [] Exploring Operation: 36+81=117, Resulting Numbers: [73, 95, 117] Generated Node #2: [73, 95, 117] from Operation: 36+81=117 Current State: 51:[73, 95, 117], Operations: ['36+81=117'] Exploring Operation: 73+95=168, Resulting Numbers: [117, 168] Generated Node #3: [117, 168] from Operation: 73+95=168 Current State: 51:[117, 168], Operations: ['36+81=117', '73+95=168'] Exploring Operation: 168-117=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 72, 98, 30, 2 ]
42
[ "72-2=70", "98*30=2940", "2940/70=42" ]
Current State: 42:[72, 98, 30, 2], Operations: [] Exploring Operation: 72-2=70, Resulting Numbers: [98, 30, 70] Generated Node #2: [98, 30, 70] from Operation: 72-2=70 Current State: 42:[98, 30, 70], Operations: ['72-2=70'] Exploring Operation: 98*30=2940, Resulting Numbers: [70, 2940] Generated Node #3: [70, 2940] from Operation: 98*30=2940 Current State: 42:[70, 2940], Operations: ['72-2=70', '98*30=2940'] Exploring Operation: 2940/70=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 83, 18, 93, 29 ]
96
[ "83-29=54", "54/18=3", "93+3=96" ]
Current State: 96:[83, 18, 93, 29], Operations: [] Exploring Operation: 83-29=54, Resulting Numbers: [18, 93, 54] Generated Node #2: [18, 93, 54] from Operation: 83-29=54 Current State: 96:[18, 93, 54], Operations: ['83-29=54'] Exploring Operation: 54/18=3, Resulting Numbers: [93, 3] Generated Node #3: [93, 3] from Operation: 54/18=3 Current State: 96:[93, 3], Operations: ['83-29=54', '54/18=3'] Exploring Operation: 93+3=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 52, 18, 59, 13 ]
80
[ "52-18=34", "59-13=46", "34+46=80" ]
Current State: 80:[52, 18, 59, 13], Operations: [] Exploring Operation: 52-18=34, Resulting Numbers: [59, 13, 34] Generated Node #2: [59, 13, 34] from Operation: 52-18=34 Current State: 80:[59, 13, 34], Operations: ['52-18=34'] Exploring Operation: 59-13=46, Resulting Numbers: [34, 46] Generated Node #3: [34, 46] from Operation: 59-13=46 Current State: 80:[34, 46], Operations: ['52-18=34', '59-13=46'] Exploring Operation: 34+46=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 28, 2, 78, 29 ]
79
[ "28+2=30", "78-29=49", "30+49=79" ]
Current State: 79:[28, 2, 78, 29], Operations: [] Exploring Operation: 28+2=30, Resulting Numbers: [78, 29, 30] Generated Node #2: [78, 29, 30] from Operation: 28+2=30 Current State: 79:[78, 29, 30], Operations: ['28+2=30'] Exploring Operation: 78-29=49, Resulting Numbers: [30, 49] Generated Node #3: [30, 49] from Operation: 78-29=49 Current State: 79:[30, 49], Operations: ['28+2=30', '78-29=49'] Exploring Operation: 30+49=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 63, 6, 41, 43 ]
75
[ "43-41=2", "6*2=12", "63+12=75" ]
Current State: 75:[63, 6, 41, 43], Operations: [] Exploring Operation: 43-41=2, Resulting Numbers: [63, 6, 2] Generated Node #2: [63, 6, 2] from Operation: 43-41=2 Current State: 75:[63, 6, 2], Operations: ['43-41=2'] Exploring Operation: 6*2=12, Resulting Numbers: [63, 12] Generated Node #3: [63, 12] from Operation: 6*2=12 Current State: 75:[63, 12], Operations: ['43-41=2', '6*2=12'] Exploring Operation: 63+12=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 72, 24, 10, 69 ]
33
[ "72/24=3", "69/3=23", "10+23=33" ]
Current State: 33:[72, 24, 10, 69], Operations: [] Exploring Operation: 72/24=3, Resulting Numbers: [10, 69, 3] Generated Node #2: [10, 69, 3] from Operation: 72/24=3 Current State: 33:[10, 69, 3], Operations: ['72/24=3'] Exploring Operation: 69/3=23, Resulting Numbers: [10, 23] Generated Node #3: [10, 23] from Operation: 69/3=23 Current State: 33:[10, 23], Operations: ['72/24=3', '69/3=23'] Exploring Operation: 10+23=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 74, 56, 18, 56 ]
93
[ "74+18=92", "56/56=1", "92+1=93" ]
Current State: 93:[74, 56, 18, 56], Operations: [] Exploring Operation: 74+18=92, Resulting Numbers: [56, 56, 92] Generated Node #2: [56, 56, 92] from Operation: 74+18=92 Current State: 93:[56, 56, 92], Operations: ['74+18=92'] Exploring Operation: 56/56=1, Resulting Numbers: [92, 1] Generated Node #3: [92, 1] from Operation: 56/56=1 Current State: 93:[92, 1], Operations: ['74+18=92', '56/56=1'] Exploring Operation: 92+1=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4