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
[ 34, 63, 31, 64 ]
64
[ "34+63=97", "64-31=33", "97-33=64" ]
Current State: 64:[34, 63, 31, 64], Operations: [] Exploring Operation: 34+63=97, Resulting Numbers: [31, 64, 97] Generated Node #2: [31, 64, 97] from Operation: 34+63=97 Current State: 64:[31, 64, 97], Operations: ['34+63=97'] Exploring Operation: 64-31=33, Resulting Numbers: [97, 33] Generated Node #3: [97, 33] from Operation: 64-31=33 Current State: 64:[97, 33], Operations: ['34+63=97', '64-31=33'] Exploring Operation: 97-33=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 49, 63, 92, 15 ]
35
[ "49+63=112", "92-15=77", "112-77=35" ]
Current State: 35:[49, 63, 92, 15], Operations: [] Exploring Operation: 49+63=112, Resulting Numbers: [92, 15, 112] Generated Node #2: [92, 15, 112] from Operation: 49+63=112 Current State: 35:[92, 15, 112], Operations: ['49+63=112'] Exploring Operation: 92-15=77, Resulting Numbers: [112, 77] Generated Node #3: [112, 77] from Operation: 92-15=77 Current State: 35:[112, 77], Operations: ['49+63=112', '92-15=77'] Exploring Operation: 112-77=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 44, 26, 83, 3 ]
89
[ "44-26=18", "18/3=6", "83+6=89" ]
Current State: 89:[44, 26, 83, 3], Operations: [] Exploring Operation: 44-26=18, Resulting Numbers: [83, 3, 18] Generated Node #2: [83, 3, 18] from Operation: 44-26=18 Current State: 89:[83, 3, 18], Operations: ['44-26=18'] Exploring Operation: 18/3=6, Resulting Numbers: [83, 6] Generated Node #3: [83, 6] from Operation: 18/3=6 Current State: 89:[83, 6], Operations: ['44-26=18', '18/3=6'] Exploring Operation: 83+6=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 34, 93, 5, 52 ]
25
[ "34*5=170", "93+52=145", "170-145=25" ]
Current State: 25:[34, 93, 5, 52], Operations: [] Exploring Operation: 34*5=170, Resulting Numbers: [93, 52, 170] Generated Node #2: [93, 52, 170] from Operation: 34*5=170 Current State: 25:[93, 52, 170], Operations: ['34*5=170'] Exploring Operation: 93+52=145, Resulting Numbers: [170, 145] Generated Node #3: [170, 145] from Operation: 93+52=145 Current State: 25:[170, 145], Operations: ['34*5=170', '93+52=145'] Exploring Operation: 170-145=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 59, 86, 66, 41 ]
80
[ "86-59=27", "66+41=107", "107-27=80" ]
Current State: 80:[59, 86, 66, 41], Operations: [] Exploring Operation: 86-59=27, Resulting Numbers: [66, 41, 27] Generated Node #2: [66, 41, 27] from Operation: 86-59=27 Current State: 80:[66, 41, 27], Operations: ['86-59=27'] Exploring Operation: 66+41=107, Resulting Numbers: [27, 107] Generated Node #3: [27, 107] from Operation: 66+41=107 Current State: 80:[27, 107], Operations: ['86-59=27', '66+41=107'] Exploring Operation: 107-27=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 91, 45, 4, 94 ]
89
[ "94-4=90", "90/45=2", "91-2=89" ]
Current State: 89:[91, 45, 4, 94], Operations: [] Exploring Operation: 94-4=90, Resulting Numbers: [91, 45, 90] Generated Node #2: [91, 45, 90] from Operation: 94-4=90 Current State: 89:[91, 45, 90], Operations: ['94-4=90'] Exploring Operation: 90/45=2, Resulting Numbers: [91, 2] Generated Node #3: [91, 2] from Operation: 90/45=2 Current State: 89:[91, 2], Operations: ['94-4=90', '90/45=2'] Exploring Operation: 91-2=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 41, 72, 46, 96 ]
19
[ "72-41=31", "96-46=50", "50-31=19" ]
Current State: 19:[41, 72, 46, 96], Operations: [] Exploring Operation: 72-41=31, Resulting Numbers: [46, 96, 31] Generated Node #2: [46, 96, 31] from Operation: 72-41=31 Current State: 19:[46, 96, 31], Operations: ['72-41=31'] Exploring Operation: 96-46=50, Resulting Numbers: [31, 50] Generated Node #3: [31, 50] from Operation: 96-46=50 Current State: 19:[31, 50], Operations: ['72-41=31', '96-46=50'] Exploring Operation: 50-31=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 84, 25, 8, 4 ]
97
[ "84+25=109", "8+4=12", "109-12=97" ]
Current State: 97:[84, 25, 8, 4], Operations: [] Exploring Operation: 84+25=109, Resulting Numbers: [8, 4, 109] Generated Node #2: [8, 4, 109] from Operation: 84+25=109 Current State: 97:[8, 4, 109], Operations: ['84+25=109'] Exploring Operation: 8+4=12, Resulting Numbers: [109, 12] Generated Node #3: [109, 12] from Operation: 8+4=12 Current State: 97:[109, 12], Operations: ['84+25=109', '8+4=12'] Exploring Operation: 109-12=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 98, 12, 62, 51 ]
75
[ "98-12=86", "62-51=11", "86-11=75" ]
Current State: 75:[98, 12, 62, 51], Operations: [] Exploring Operation: 98-12=86, Resulting Numbers: [62, 51, 86] Generated Node #2: [62, 51, 86] from Operation: 98-12=86 Current State: 75:[62, 51, 86], Operations: ['98-12=86'] Exploring Operation: 62-51=11, Resulting Numbers: [86, 11] Generated Node #3: [86, 11] from Operation: 62-51=11 Current State: 75:[86, 11], Operations: ['98-12=86', '62-51=11'] Exploring Operation: 86-11=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 30, 45, 13, 9 ]
38
[ "30+13=43", "45/9=5", "43-5=38" ]
Current State: 38:[30, 45, 13, 9], Operations: [] Exploring Operation: 30+13=43, Resulting Numbers: [45, 9, 43] Generated Node #2: [45, 9, 43] from Operation: 30+13=43 Current State: 38:[45, 9, 43], Operations: ['30+13=43'] Exploring Operation: 45/9=5, Resulting Numbers: [43, 5] Generated Node #3: [43, 5] from Operation: 45/9=5 Current State: 38:[43, 5], Operations: ['30+13=43', '45/9=5'] Exploring Operation: 43-5=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 10, 76, 17, 69 ]
53
[ "76-69=7", "10*7=70", "70-17=53" ]
Current State: 53:[10, 76, 17, 69], Operations: [] Exploring Operation: 76-69=7, Resulting Numbers: [10, 17, 7] Generated Node #2: [10, 17, 7] from Operation: 76-69=7 Current State: 53:[10, 17, 7], Operations: ['76-69=7'] Exploring Operation: 10*7=70, Resulting Numbers: [17, 70] Generated Node #3: [17, 70] from Operation: 10*7=70 Current State: 53:[17, 70], Operations: ['76-69=7', '10*7=70'] Exploring Operation: 70-17=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 30, 87, 4, 99 ]
18
[ "99-87=12", "4*12=48", "48-30=18" ]
Current State: 18:[30, 87, 4, 99], Operations: [] Exploring Operation: 99-87=12, Resulting Numbers: [30, 4, 12] Generated Node #2: [30, 4, 12] from Operation: 99-87=12 Current State: 18:[30, 4, 12], Operations: ['99-87=12'] Exploring Operation: 4*12=48, Resulting Numbers: [30, 48] Generated Node #3: [30, 48] from Operation: 4*12=48 Current State: 18:[30, 48], Operations: ['99-87=12', '4*12=48'] Exploring Operation: 48-30=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 94, 30, 25, 35 ]
54
[ "94-30=64", "35-25=10", "64-10=54" ]
Current State: 54:[94, 30, 25, 35], Operations: [] Exploring Operation: 94-30=64, Resulting Numbers: [25, 35, 64] Generated Node #2: [25, 35, 64] from Operation: 94-30=64 Current State: 54:[25, 35, 64], Operations: ['94-30=64'] Exploring Operation: 35-25=10, Resulting Numbers: [64, 10] Generated Node #3: [64, 10] from Operation: 35-25=10 Current State: 54:[64, 10], Operations: ['94-30=64', '35-25=10'] Exploring Operation: 64-10=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 90, 55, 22, 26 ]
50
[ "55*22=1210", "90+1210=1300", "1300/26=50" ]
Current State: 50:[90, 55, 22, 26], Operations: [] Exploring Operation: 55*22=1210, Resulting Numbers: [90, 26, 1210] Generated Node #2: [90, 26, 1210] from Operation: 55*22=1210 Current State: 50:[90, 26, 1210], Operations: ['55*22=1210'] Exploring Operation: 90+1210=1300, Resulting Numbers: [26, 1300] Generated Node #3: [26, 1300] from Operation: 90+1210=1300 Current State: 50:[26, 1300], Operations: ['55*22=1210', '90+1210=1300'] Exploring Operation: 1300/26=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 14, 89, 40, 14 ]
89
[ "14-14=0", "40*0=0", "89+0=89" ]
Current State: 89:[14, 89, 40, 14], Operations: [] Exploring Operation: 14-14=0, Resulting Numbers: [89, 40, 0] Generated Node #2: [89, 40, 0] from Operation: 14-14=0 Current State: 89:[89, 40, 0], Operations: ['14-14=0'] Exploring Operation: 40*0=0, Resulting Numbers: [89, 0] Generated Node #3: [89, 0] from Operation: 40*0=0 Current State: 89:[89, 0], Operations: ['14-14=0', '40*0=0'] Exploring Operation: 89+0=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 7, 45, 71, 10 ]
86
[ "10-7=3", "45/3=15", "71+15=86" ]
Current State: 86:[7, 45, 71, 10], Operations: [] Exploring Operation: 10-7=3, Resulting Numbers: [45, 71, 3] Generated Node #2: [45, 71, 3] from Operation: 10-7=3 Current State: 86:[45, 71, 3], Operations: ['10-7=3'] Exploring Operation: 45/3=15, Resulting Numbers: [71, 15] Generated Node #3: [71, 15] from Operation: 45/3=15 Current State: 86:[71, 15], Operations: ['10-7=3', '45/3=15'] Exploring Operation: 71+15=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 7, 25, 4, 89 ]
38
[ "7-4=3", "25+89=114", "114/3=38" ]
Current State: 38:[7, 25, 4, 89], Operations: [] Exploring Operation: 7-4=3, Resulting Numbers: [25, 89, 3] Generated Node #2: [25, 89, 3] from Operation: 7-4=3 Current State: 38:[25, 89, 3], Operations: ['7-4=3'] Exploring Operation: 25+89=114, Resulting Numbers: [3, 114] Generated Node #3: [3, 114] from Operation: 25+89=114 Current State: 38:[3, 114], Operations: ['7-4=3', '25+89=114'] Exploring Operation: 114/3=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 80, 55, 40, 43 ]
75
[ "80-55=25", "43-40=3", "25*3=75" ]
Current State: 75:[80, 55, 40, 43], Operations: [] Exploring Operation: 80-55=25, Resulting Numbers: [40, 43, 25] Generated Node #2: [40, 43, 25] from Operation: 80-55=25 Current State: 75:[40, 43, 25], Operations: ['80-55=25'] Exploring Operation: 43-40=3, Resulting Numbers: [25, 3] Generated Node #3: [25, 3] from Operation: 43-40=3 Current State: 75:[25, 3], Operations: ['80-55=25', '43-40=3'] Exploring Operation: 25*3=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 15, 6, 44, 73 ]
17
[ "44-15=29", "73+29=102", "102/6=17" ]
Current State: 17:[15, 6, 44, 73], Operations: [] Exploring Operation: 44-15=29, Resulting Numbers: [6, 73, 29] Generated Node #2: [6, 73, 29] from Operation: 44-15=29 Current State: 17:[6, 73, 29], Operations: ['44-15=29'] Exploring Operation: 73+29=102, Resulting Numbers: [6, 102] Generated Node #3: [6, 102] from Operation: 73+29=102 Current State: 17:[6, 102], Operations: ['44-15=29', '73+29=102'] Exploring Operation: 102/6=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 92, 33, 81, 12 ]
99
[ "92-81=11", "12*11=132", "132-33=99" ]
Current State: 99:[92, 33, 81, 12], Operations: [] Exploring Operation: 92-81=11, Resulting Numbers: [33, 12, 11] Generated Node #2: [33, 12, 11] from Operation: 92-81=11 Current State: 99:[33, 12, 11], Operations: ['92-81=11'] Exploring Operation: 12*11=132, Resulting Numbers: [33, 132] Generated Node #3: [33, 132] from Operation: 12*11=132 Current State: 99:[33, 132], Operations: ['92-81=11', '12*11=132'] Exploring Operation: 132-33=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 20, 43, 2, 50 ]
75
[ "43-20=23", "2+50=52", "23+52=75" ]
Current State: 75:[20, 43, 2, 50], Operations: [] Exploring Operation: 43-20=23, Resulting Numbers: [2, 50, 23] Generated Node #2: [2, 50, 23] from Operation: 43-20=23 Current State: 75:[2, 50, 23], Operations: ['43-20=23'] Exploring Operation: 2+50=52, Resulting Numbers: [23, 52] Generated Node #3: [23, 52] from Operation: 2+50=52 Current State: 75:[23, 52], Operations: ['43-20=23', '2+50=52'] Exploring Operation: 23+52=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 66, 2, 26, 52 ]
38
[ "66-2=64", "52-26=26", "64-26=38" ]
Current State: 38:[66, 2, 26, 52], Operations: [] Exploring Operation: 66-2=64, Resulting Numbers: [26, 52, 64] Generated Node #2: [26, 52, 64] from Operation: 66-2=64 Current State: 38:[26, 52, 64], Operations: ['66-2=64'] Exploring Operation: 52-26=26, Resulting Numbers: [64, 26] Generated Node #3: [64, 26] from Operation: 52-26=26 Current State: 38:[64, 26], Operations: ['66-2=64', '52-26=26'] Exploring Operation: 64-26=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 64, 60, 18, 59 ]
73
[ "64-60=4", "18+59=77", "77-4=73" ]
Current State: 73:[64, 60, 18, 59], Operations: [] Exploring Operation: 64-60=4, Resulting Numbers: [18, 59, 4] Generated Node #2: [18, 59, 4] from Operation: 64-60=4 Current State: 73:[18, 59, 4], Operations: ['64-60=4'] Exploring Operation: 18+59=77, Resulting Numbers: [4, 77] Generated Node #3: [4, 77] from Operation: 18+59=77 Current State: 73:[4, 77], Operations: ['64-60=4', '18+59=77'] Exploring Operation: 77-4=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 63, 45, 42, 5 ]
35
[ "63*5=315", "315/45=7", "42-7=35" ]
Current State: 35:[63, 45, 42, 5], Operations: [] Exploring Operation: 63*5=315, Resulting Numbers: [45, 42, 315] Generated Node #2: [45, 42, 315] from Operation: 63*5=315 Current State: 35:[45, 42, 315], Operations: ['63*5=315'] Exploring Operation: 315/45=7, Resulting Numbers: [42, 7] Generated Node #3: [42, 7] from Operation: 315/45=7 Current State: 35:[42, 7], Operations: ['63*5=315', '315/45=7'] Exploring Operation: 42-7=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 16, 25, 39, 50 ]
94
[ "50/25=2", "39*2=78", "16+78=94" ]
Current State: 94:[16, 25, 39, 50], Operations: [] Exploring Operation: 50/25=2, Resulting Numbers: [16, 39, 2] Generated Node #2: [16, 39, 2] from Operation: 50/25=2 Current State: 94:[16, 39, 2], Operations: ['50/25=2'] Exploring Operation: 39*2=78, Resulting Numbers: [16, 78] Generated Node #3: [16, 78] from Operation: 39*2=78 Current State: 94:[16, 78], Operations: ['50/25=2', '39*2=78'] Exploring Operation: 16+78=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 58, 93, 55, 3 ]
17
[ "93-58=35", "55-3=52", "52-35=17" ]
Current State: 17:[58, 93, 55, 3], Operations: [] Exploring Operation: 93-58=35, Resulting Numbers: [55, 3, 35] Generated Node #2: [55, 3, 35] from Operation: 93-58=35 Current State: 17:[55, 3, 35], Operations: ['93-58=35'] Exploring Operation: 55-3=52, Resulting Numbers: [35, 52] Generated Node #3: [35, 52] from Operation: 55-3=52 Current State: 17:[35, 52], Operations: ['93-58=35', '55-3=52'] Exploring Operation: 52-35=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 15, 59, 23, 40 ]
27
[ "59-15=44", "40-23=17", "44-17=27" ]
Current State: 27:[15, 59, 23, 40], Operations: [] Exploring Operation: 59-15=44, Resulting Numbers: [23, 40, 44] Generated Node #2: [23, 40, 44] from Operation: 59-15=44 Current State: 27:[23, 40, 44], Operations: ['59-15=44'] Exploring Operation: 40-23=17, Resulting Numbers: [44, 17] Generated Node #3: [44, 17] from Operation: 40-23=17 Current State: 27:[44, 17], Operations: ['59-15=44', '40-23=17'] Exploring Operation: 44-17=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 80, 39, 58, 65 ]
34
[ "80-39=41", "65-58=7", "41-7=34" ]
Current State: 34:[80, 39, 58, 65], Operations: [] Exploring Operation: 80-39=41, Resulting Numbers: [58, 65, 41] Generated Node #2: [58, 65, 41] from Operation: 80-39=41 Current State: 34:[58, 65, 41], Operations: ['80-39=41'] Exploring Operation: 65-58=7, Resulting Numbers: [41, 7] Generated Node #3: [41, 7] from Operation: 65-58=7 Current State: 34:[41, 7], Operations: ['80-39=41', '65-58=7'] Exploring Operation: 41-7=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 29, 25, 30, 88 ]
52
[ "29-25=4", "88/4=22", "30+22=52" ]
Current State: 52:[29, 25, 30, 88], Operations: [] Exploring Operation: 29-25=4, Resulting Numbers: [30, 88, 4] Generated Node #2: [30, 88, 4] from Operation: 29-25=4 Current State: 52:[30, 88, 4], Operations: ['29-25=4'] Exploring Operation: 88/4=22, Resulting Numbers: [30, 22] Generated Node #3: [30, 22] from Operation: 88/4=22 Current State: 52:[30, 22], Operations: ['29-25=4', '88/4=22'] Exploring Operation: 30+22=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 57, 93, 42, 29 ]
23
[ "93-57=36", "42-29=13", "36-13=23" ]
Current State: 23:[57, 93, 42, 29], Operations: [] Exploring Operation: 93-57=36, Resulting Numbers: [42, 29, 36] Generated Node #2: [42, 29, 36] from Operation: 93-57=36 Current State: 23:[42, 29, 36], Operations: ['93-57=36'] Exploring Operation: 42-29=13, Resulting Numbers: [36, 13] Generated Node #3: [36, 13] from Operation: 42-29=13 Current State: 23:[36, 13], Operations: ['93-57=36', '42-29=13'] Exploring Operation: 36-13=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 76, 84, 24, 84 ]
69
[ "84+84=168", "168/24=7", "76-7=69" ]
Current State: 69:[76, 84, 24, 84], Operations: [] Exploring Operation: 84+84=168, Resulting Numbers: [76, 24, 168] Generated Node #2: [76, 24, 168] from Operation: 84+84=168 Current State: 69:[76, 24, 168], Operations: ['84+84=168'] Exploring Operation: 168/24=7, Resulting Numbers: [76, 7] Generated Node #3: [76, 7] from Operation: 168/24=7 Current State: 69:[76, 7], Operations: ['84+84=168', '168/24=7'] Exploring Operation: 76-7=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 36, 2, 8, 47 ]
97
[ "36/2=18", "8*18=144", "144-47=97" ]
Current State: 97:[36, 2, 8, 47], Operations: [] Exploring Operation: 36/2=18, Resulting Numbers: [8, 47, 18] Generated Node #2: [8, 47, 18] from Operation: 36/2=18 Current State: 97:[8, 47, 18], Operations: ['36/2=18'] Exploring Operation: 8*18=144, Resulting Numbers: [47, 144] Generated Node #3: [47, 144] from Operation: 8*18=144 Current State: 97:[47, 144], Operations: ['36/2=18', '8*18=144'] Exploring Operation: 144-47=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 25, 39, 7, 89 ]
87
[ "39-25=14", "14/7=2", "89-2=87" ]
Current State: 87:[25, 39, 7, 89], Operations: [] Exploring Operation: 39-25=14, Resulting Numbers: [7, 89, 14] Generated Node #2: [7, 89, 14] from Operation: 39-25=14 Current State: 87:[7, 89, 14], Operations: ['39-25=14'] Exploring Operation: 14/7=2, Resulting Numbers: [89, 2] Generated Node #3: [89, 2] from Operation: 14/7=2 Current State: 87:[89, 2], Operations: ['39-25=14', '14/7=2'] Exploring Operation: 89-2=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 97, 14, 53, 99 ]
81
[ "99-97=2", "14*2=28", "53+28=81" ]
Current State: 81:[97, 14, 53, 99], Operations: [] Exploring Operation: 99-97=2, Resulting Numbers: [14, 53, 2] Generated Node #2: [14, 53, 2] from Operation: 99-97=2 Current State: 81:[14, 53, 2], Operations: ['99-97=2'] Exploring Operation: 14*2=28, Resulting Numbers: [53, 28] Generated Node #3: [53, 28] from Operation: 14*2=28 Current State: 81:[53, 28], Operations: ['99-97=2', '14*2=28'] Exploring Operation: 53+28=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 1, 49, 29, 69 ]
50
[ "49-1=48", "29+69=98", "98-48=50" ]
Current State: 50:[1, 49, 29, 69], Operations: [] Exploring Operation: 49-1=48, Resulting Numbers: [29, 69, 48] Generated Node #2: [29, 69, 48] from Operation: 49-1=48 Current State: 50:[29, 69, 48], Operations: ['49-1=48'] Exploring Operation: 29+69=98, Resulting Numbers: [48, 98] Generated Node #3: [48, 98] from Operation: 29+69=98 Current State: 50:[48, 98], Operations: ['49-1=48', '29+69=98'] Exploring Operation: 98-48=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 21, 58, 62, 55 ]
86
[ "21+58=79", "62-55=7", "79+7=86" ]
Current State: 86:[21, 58, 62, 55], Operations: [] Exploring Operation: 21+58=79, Resulting Numbers: [62, 55, 79] Generated Node #2: [62, 55, 79] from Operation: 21+58=79 Current State: 86:[62, 55, 79], Operations: ['21+58=79'] Exploring Operation: 62-55=7, Resulting Numbers: [79, 7] Generated Node #3: [79, 7] from Operation: 62-55=7 Current State: 86:[79, 7], Operations: ['21+58=79', '62-55=7'] Exploring Operation: 79+7=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 54, 19, 3, 46 ]
45
[ "54/3=18", "46-19=27", "18+27=45" ]
Current State: 45:[54, 19, 3, 46], Operations: [] Exploring Operation: 54/3=18, Resulting Numbers: [19, 46, 18] Generated Node #2: [19, 46, 18] from Operation: 54/3=18 Current State: 45:[19, 46, 18], Operations: ['54/3=18'] Exploring Operation: 46-19=27, Resulting Numbers: [18, 27] Generated Node #3: [18, 27] from Operation: 46-19=27 Current State: 45:[18, 27], Operations: ['54/3=18', '46-19=27'] Exploring Operation: 18+27=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 2, 10, 4, 42 ]
89
[ "4*42=168", "10+168=178", "178/2=89" ]
Current State: 89:[2, 10, 4, 42], Operations: [] Exploring Operation: 4*42=168, Resulting Numbers: [2, 10, 168] Generated Node #2: [2, 10, 168] from Operation: 4*42=168 Current State: 89:[2, 10, 168], Operations: ['4*42=168'] Exploring Operation: 10+168=178, Resulting Numbers: [2, 178] Generated Node #3: [2, 178] from Operation: 10+168=178 Current State: 89:[2, 178], Operations: ['4*42=168', '10+168=178'] Exploring Operation: 178/2=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 89, 84, 45, 13 ]
86
[ "84-45=39", "39/13=3", "89-3=86" ]
Current State: 86:[89, 84, 45, 13], Operations: [] Exploring Operation: 84-45=39, Resulting Numbers: [89, 13, 39] Generated Node #2: [89, 13, 39] from Operation: 84-45=39 Current State: 86:[89, 13, 39], Operations: ['84-45=39'] Exploring Operation: 39/13=3, Resulting Numbers: [89, 3] Generated Node #3: [89, 3] from Operation: 39/13=3 Current State: 86:[89, 3], Operations: ['84-45=39', '39/13=3'] Exploring Operation: 89-3=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 35, 80, 74, 92 ]
51
[ "35+80=115", "74+92=166", "166-115=51" ]
Current State: 51:[35, 80, 74, 92], Operations: [] Exploring Operation: 35+80=115, Resulting Numbers: [74, 92, 115] Generated Node #2: [74, 92, 115] from Operation: 35+80=115 Current State: 51:[74, 92, 115], Operations: ['35+80=115'] Exploring Operation: 74+92=166, Resulting Numbers: [115, 166] Generated Node #3: [115, 166] from Operation: 74+92=166 Current State: 51:[115, 166], Operations: ['35+80=115', '74+92=166'] Exploring Operation: 166-115=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 53, 6, 66, 9 ]
73
[ "53+9=62", "66/6=11", "62+11=73" ]
Current State: 73:[53, 6, 66, 9], Operations: [] Exploring Operation: 53+9=62, Resulting Numbers: [6, 66, 62] Generated Node #2: [6, 66, 62] from Operation: 53+9=62 Current State: 73:[6, 66, 62], Operations: ['53+9=62'] Exploring Operation: 66/6=11, Resulting Numbers: [62, 11] Generated Node #3: [62, 11] from Operation: 66/6=11 Current State: 73:[62, 11], Operations: ['53+9=62', '66/6=11'] Exploring Operation: 62+11=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 82, 35, 29, 36 ]
87
[ "36-29=7", "35/7=5", "82+5=87" ]
Current State: 87:[82, 35, 29, 36], Operations: [] Exploring Operation: 36-29=7, Resulting Numbers: [82, 35, 7] Generated Node #2: [82, 35, 7] from Operation: 36-29=7 Current State: 87:[82, 35, 7], Operations: ['36-29=7'] Exploring Operation: 35/7=5, Resulting Numbers: [82, 5] Generated Node #3: [82, 5] from Operation: 35/7=5 Current State: 87:[82, 5], Operations: ['36-29=7', '35/7=5'] Exploring Operation: 82+5=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 45, 99, 1, 91 ]
37
[ "99-45=54", "1*91=91", "91-54=37" ]
Current State: 37:[45, 99, 1, 91], Operations: [] Exploring Operation: 99-45=54, Resulting Numbers: [1, 91, 54] Generated Node #2: [1, 91, 54] from Operation: 99-45=54 Current State: 37:[1, 91, 54], Operations: ['99-45=54'] Exploring Operation: 1*91=91, Resulting Numbers: [54, 91] Generated Node #3: [54, 91] from Operation: 1*91=91 Current State: 37:[54, 91], Operations: ['99-45=54', '1*91=91'] Exploring Operation: 91-54=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 32, 21, 69, 17 ]
36
[ "69*17=1173", "1173-21=1152", "1152/32=36" ]
Current State: 36:[32, 21, 69, 17], Operations: [] Exploring Operation: 69*17=1173, Resulting Numbers: [32, 21, 1173] Generated Node #2: [32, 21, 1173] from Operation: 69*17=1173 Current State: 36:[32, 21, 1173], Operations: ['69*17=1173'] Exploring Operation: 1173-21=1152, Resulting Numbers: [32, 1152] Generated Node #3: [32, 1152] from Operation: 1173-21=1152 Current State: 36:[32, 1152], Operations: ['69*17=1173', '1173-21=1152'] Exploring Operation: 1152/32=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 61, 44, 47, 54 ]
42
[ "61+47=108", "108/54=2", "44-2=42" ]
Current State: 42:[61, 44, 47, 54], Operations: [] Exploring Operation: 61+47=108, Resulting Numbers: [44, 54, 108] Generated Node #2: [44, 54, 108] from Operation: 61+47=108 Current State: 42:[44, 54, 108], Operations: ['61+47=108'] Exploring Operation: 108/54=2, Resulting Numbers: [44, 2] Generated Node #3: [44, 2] from Operation: 108/54=2 Current State: 42:[44, 2], Operations: ['61+47=108', '108/54=2'] Exploring Operation: 44-2=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 87, 89, 47, 69 ]
44
[ "89-87=2", "69-47=22", "2*22=44" ]
Current State: 44:[87, 89, 47, 69], Operations: [] Exploring Operation: 89-87=2, Resulting Numbers: [47, 69, 2] Generated Node #2: [47, 69, 2] from Operation: 89-87=2 Current State: 44:[47, 69, 2], Operations: ['89-87=2'] Exploring Operation: 69-47=22, Resulting Numbers: [2, 22] Generated Node #3: [2, 22] from Operation: 69-47=22 Current State: 44:[2, 22], Operations: ['89-87=2', '69-47=22'] Exploring Operation: 2*22=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 59, 49, 57, 33 ]
18
[ "59+49=108", "57+33=90", "108-90=18" ]
Current State: 18:[59, 49, 57, 33], Operations: [] Exploring Operation: 59+49=108, Resulting Numbers: [57, 33, 108] Generated Node #2: [57, 33, 108] from Operation: 59+49=108 Current State: 18:[57, 33, 108], Operations: ['59+49=108'] Exploring Operation: 57+33=90, Resulting Numbers: [108, 90] Generated Node #3: [108, 90] from Operation: 57+33=90 Current State: 18:[108, 90], Operations: ['59+49=108', '57+33=90'] Exploring Operation: 108-90=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 18, 77, 4, 90 ]
76
[ "90/18=5", "77+4=81", "81-5=76" ]
Current State: 76:[18, 77, 4, 90], Operations: [] Exploring Operation: 90/18=5, Resulting Numbers: [77, 4, 5] Generated Node #2: [77, 4, 5] from Operation: 90/18=5 Current State: 76:[77, 4, 5], Operations: ['90/18=5'] Exploring Operation: 77+4=81, Resulting Numbers: [5, 81] Generated Node #3: [5, 81] from Operation: 77+4=81 Current State: 76:[5, 81], Operations: ['90/18=5', '77+4=81'] Exploring Operation: 81-5=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 27, 4, 13, 80 ]
15
[ "27*4=108", "13+80=93", "108-93=15" ]
Current State: 15:[27, 4, 13, 80], Operations: [] Exploring Operation: 27*4=108, Resulting Numbers: [13, 80, 108] Generated Node #2: [13, 80, 108] from Operation: 27*4=108 Current State: 15:[13, 80, 108], Operations: ['27*4=108'] Exploring Operation: 13+80=93, Resulting Numbers: [108, 93] Generated Node #3: [108, 93] from Operation: 13+80=93 Current State: 15:[108, 93], Operations: ['27*4=108', '13+80=93'] Exploring Operation: 108-93=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 48, 51, 54, 61 ]
39
[ "61-48=13", "54-51=3", "13*3=39" ]
Current State: 39:[48, 51, 54, 61], Operations: [] Exploring Operation: 61-48=13, Resulting Numbers: [51, 54, 13] Generated Node #2: [51, 54, 13] from Operation: 61-48=13 Current State: 39:[51, 54, 13], Operations: ['61-48=13'] Exploring Operation: 54-51=3, Resulting Numbers: [13, 3] Generated Node #3: [13, 3] from Operation: 54-51=3 Current State: 39:[13, 3], Operations: ['61-48=13', '54-51=3'] Exploring Operation: 13*3=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 82, 36, 80, 38 ]
39
[ "38-36=2", "82/2=41", "80-41=39" ]
Current State: 39:[82, 36, 80, 38], Operations: [] Exploring Operation: 38-36=2, Resulting Numbers: [82, 80, 2] Generated Node #2: [82, 80, 2] from Operation: 38-36=2 Current State: 39:[82, 80, 2], Operations: ['38-36=2'] Exploring Operation: 82/2=41, Resulting Numbers: [80, 41] Generated Node #3: [80, 41] from Operation: 82/2=41 Current State: 39:[80, 41], Operations: ['38-36=2', '82/2=41'] Exploring Operation: 80-41=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 38, 52, 57, 75 ]
53
[ "57-52=5", "75/5=15", "38+15=53" ]
Current State: 53:[38, 52, 57, 75], Operations: [] Exploring Operation: 57-52=5, Resulting Numbers: [38, 75, 5] Generated Node #2: [38, 75, 5] from Operation: 57-52=5 Current State: 53:[38, 75, 5], Operations: ['57-52=5'] Exploring Operation: 75/5=15, Resulting Numbers: [38, 15] Generated Node #3: [38, 15] from Operation: 75/5=15 Current State: 53:[38, 15], Operations: ['57-52=5', '75/5=15'] Exploring Operation: 38+15=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 53, 45, 37, 30 ]
31
[ "53+45=98", "37+30=67", "98-67=31" ]
Current State: 31:[53, 45, 37, 30], Operations: [] Exploring Operation: 53+45=98, Resulting Numbers: [37, 30, 98] Generated Node #2: [37, 30, 98] from Operation: 53+45=98 Current State: 31:[37, 30, 98], Operations: ['53+45=98'] Exploring Operation: 37+30=67, Resulting Numbers: [98, 67] Generated Node #3: [98, 67] from Operation: 37+30=67 Current State: 31:[98, 67], Operations: ['53+45=98', '37+30=67'] Exploring Operation: 98-67=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 66, 5, 17, 42 ]
23
[ "66+42=108", "5*17=85", "108-85=23" ]
Current State: 23:[66, 5, 17, 42], Operations: [] Exploring Operation: 66+42=108, Resulting Numbers: [5, 17, 108] Generated Node #2: [5, 17, 108] from Operation: 66+42=108 Current State: 23:[5, 17, 108], Operations: ['66+42=108'] Exploring Operation: 5*17=85, Resulting Numbers: [108, 85] Generated Node #3: [108, 85] from Operation: 5*17=85 Current State: 23:[108, 85], Operations: ['66+42=108', '5*17=85'] Exploring Operation: 108-85=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 70, 33, 33, 2 ]
69
[ "70-2=68", "33/33=1", "68+1=69" ]
Current State: 69:[70, 33, 33, 2], Operations: [] Exploring Operation: 70-2=68, Resulting Numbers: [33, 33, 68] Generated Node #2: [33, 33, 68] from Operation: 70-2=68 Current State: 69:[33, 33, 68], Operations: ['70-2=68'] Exploring Operation: 33/33=1, Resulting Numbers: [68, 1] Generated Node #3: [68, 1] from Operation: 33/33=1 Current State: 69:[68, 1], Operations: ['70-2=68', '33/33=1'] Exploring Operation: 68+1=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 61, 35, 44, 80 ]
60
[ "61+35=96", "80-44=36", "96-36=60" ]
Current State: 60:[61, 35, 44, 80], Operations: [] Exploring Operation: 61+35=96, Resulting Numbers: [44, 80, 96] Generated Node #2: [44, 80, 96] from Operation: 61+35=96 Current State: 60:[44, 80, 96], Operations: ['61+35=96'] Exploring Operation: 80-44=36, Resulting Numbers: [96, 36] Generated Node #3: [96, 36] from Operation: 80-44=36 Current State: 60:[96, 36], Operations: ['61+35=96', '80-44=36'] Exploring Operation: 96-36=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 2, 80, 88, 16 ]
91
[ "2*88=176", "176/16=11", "80+11=91" ]
Current State: 91:[2, 80, 88, 16], Operations: [] Exploring Operation: 2*88=176, Resulting Numbers: [80, 16, 176] Generated Node #2: [80, 16, 176] from Operation: 2*88=176 Current State: 91:[80, 16, 176], Operations: ['2*88=176'] Exploring Operation: 176/16=11, Resulting Numbers: [80, 11] Generated Node #3: [80, 11] from Operation: 176/16=11 Current State: 91:[80, 11], Operations: ['2*88=176', '176/16=11'] Exploring Operation: 80+11=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 41, 90, 73, 68 ]
59
[ "73-68=5", "90/5=18", "41+18=59" ]
Current State: 59:[41, 90, 73, 68], Operations: [] Exploring Operation: 73-68=5, Resulting Numbers: [41, 90, 5] Generated Node #2: [41, 90, 5] from Operation: 73-68=5 Current State: 59:[41, 90, 5], Operations: ['73-68=5'] Exploring Operation: 90/5=18, Resulting Numbers: [41, 18] Generated Node #3: [41, 18] from Operation: 90/5=18 Current State: 59:[41, 18], Operations: ['73-68=5', '90/5=18'] Exploring Operation: 41+18=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 25, 54, 76, 33 ]
30
[ "25+54=79", "76+33=109", "109-79=30" ]
Current State: 30:[25, 54, 76, 33], Operations: [] Exploring Operation: 25+54=79, Resulting Numbers: [76, 33, 79] Generated Node #2: [76, 33, 79] from Operation: 25+54=79 Current State: 30:[76, 33, 79], Operations: ['25+54=79'] Exploring Operation: 76+33=109, Resulting Numbers: [79, 109] Generated Node #3: [79, 109] from Operation: 76+33=109 Current State: 30:[79, 109], Operations: ['25+54=79', '76+33=109'] Exploring Operation: 109-79=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 2, 21, 95, 38 ]
33
[ "21-2=19", "95/19=5", "38-5=33" ]
Current State: 33:[2, 21, 95, 38], Operations: [] Exploring Operation: 21-2=19, Resulting Numbers: [95, 38, 19] Generated Node #2: [95, 38, 19] from Operation: 21-2=19 Current State: 33:[95, 38, 19], Operations: ['21-2=19'] Exploring Operation: 95/19=5, Resulting Numbers: [38, 5] Generated Node #3: [38, 5] from Operation: 95/19=5 Current State: 33:[38, 5], Operations: ['21-2=19', '95/19=5'] Exploring Operation: 38-5=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 52, 76, 3, 4 ]
37
[ "52*3=156", "156/4=39", "76-39=37" ]
Current State: 37:[52, 76, 3, 4], Operations: [] Exploring Operation: 52*3=156, Resulting Numbers: [76, 4, 156] Generated Node #2: [76, 4, 156] from Operation: 52*3=156 Current State: 37:[76, 4, 156], Operations: ['52*3=156'] Exploring Operation: 156/4=39, Resulting Numbers: [76, 39] Generated Node #3: [76, 39] from Operation: 156/4=39 Current State: 37:[76, 39], Operations: ['52*3=156', '156/4=39'] Exploring Operation: 76-39=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 51, 4, 68, 27 ]
48
[ "51-4=47", "68+27=95", "95-47=48" ]
Current State: 48:[51, 4, 68, 27], Operations: [] Exploring Operation: 51-4=47, Resulting Numbers: [68, 27, 47] Generated Node #2: [68, 27, 47] from Operation: 51-4=47 Current State: 48:[68, 27, 47], Operations: ['51-4=47'] Exploring Operation: 68+27=95, Resulting Numbers: [47, 95] Generated Node #3: [47, 95] from Operation: 68+27=95 Current State: 48:[47, 95], Operations: ['51-4=47', '68+27=95'] Exploring Operation: 95-47=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 48, 69, 37, 7 ]
23
[ "69-48=21", "37+7=44", "44-21=23" ]
Current State: 23:[48, 69, 37, 7], Operations: [] Exploring Operation: 69-48=21, Resulting Numbers: [37, 7, 21] Generated Node #2: [37, 7, 21] from Operation: 69-48=21 Current State: 23:[37, 7, 21], Operations: ['69-48=21'] Exploring Operation: 37+7=44, Resulting Numbers: [21, 44] Generated Node #3: [21, 44] from Operation: 37+7=44 Current State: 23:[21, 44], Operations: ['69-48=21', '37+7=44'] Exploring Operation: 44-21=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 69, 59, 68, 43 ]
16
[ "69-68=1", "59-43=16", "1*16=16" ]
Current State: 16:[69, 59, 68, 43], Operations: [] Exploring Operation: 69-68=1, Resulting Numbers: [59, 43, 1] Generated Node #2: [59, 43, 1] from Operation: 69-68=1 Current State: 16:[59, 43, 1], Operations: ['69-68=1'] Exploring Operation: 59-43=16, Resulting Numbers: [1, 16] Generated Node #3: [1, 16] from Operation: 59-43=16 Current State: 16:[1, 16], Operations: ['69-68=1', '59-43=16'] Exploring Operation: 1*16=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 86, 44, 6, 84 ]
94
[ "86+84=170", "44*6=264", "264-170=94" ]
Current State: 94:[86, 44, 6, 84], Operations: [] Exploring Operation: 86+84=170, Resulting Numbers: [44, 6, 170] Generated Node #2: [44, 6, 170] from Operation: 86+84=170 Current State: 94:[44, 6, 170], Operations: ['86+84=170'] Exploring Operation: 44*6=264, Resulting Numbers: [170, 264] Generated Node #3: [170, 264] from Operation: 44*6=264 Current State: 94:[170, 264], Operations: ['86+84=170', '44*6=264'] Exploring Operation: 264-170=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 7, 20, 83, 80 ]
94
[ "7+83=90", "80/20=4", "90+4=94" ]
Current State: 94:[7, 20, 83, 80], Operations: [] Exploring Operation: 7+83=90, Resulting Numbers: [20, 80, 90] Generated Node #2: [20, 80, 90] from Operation: 7+83=90 Current State: 94:[20, 80, 90], Operations: ['7+83=90'] Exploring Operation: 80/20=4, Resulting Numbers: [90, 4] Generated Node #3: [90, 4] from Operation: 80/20=4 Current State: 94:[90, 4], Operations: ['7+83=90', '80/20=4'] Exploring Operation: 90+4=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 63, 30, 70, 14 ]
68
[ "70-63=7", "14*7=98", "98-30=68" ]
Current State: 68:[63, 30, 70, 14], Operations: [] Exploring Operation: 70-63=7, Resulting Numbers: [30, 14, 7] Generated Node #2: [30, 14, 7] from Operation: 70-63=7 Current State: 68:[30, 14, 7], Operations: ['70-63=7'] Exploring Operation: 14*7=98, Resulting Numbers: [30, 98] Generated Node #3: [30, 98] from Operation: 14*7=98 Current State: 68:[30, 98], Operations: ['70-63=7', '14*7=98'] Exploring Operation: 98-30=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 73, 93, 2, 67 ]
49
[ "93-73=20", "2+67=69", "69-20=49" ]
Current State: 49:[73, 93, 2, 67], Operations: [] Exploring Operation: 93-73=20, Resulting Numbers: [2, 67, 20] Generated Node #2: [2, 67, 20] from Operation: 93-73=20 Current State: 49:[2, 67, 20], Operations: ['93-73=20'] Exploring Operation: 2+67=69, Resulting Numbers: [20, 69] Generated Node #3: [20, 69] from Operation: 2+67=69 Current State: 49:[20, 69], Operations: ['93-73=20', '2+67=69'] Exploring Operation: 69-20=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 56, 72, 8, 27 ]
18
[ "56-8=48", "27*48=1296", "1296/72=18" ]
Current State: 18:[56, 72, 8, 27], Operations: [] Exploring Operation: 56-8=48, Resulting Numbers: [72, 27, 48] Generated Node #2: [72, 27, 48] from Operation: 56-8=48 Current State: 18:[72, 27, 48], Operations: ['56-8=48'] Exploring Operation: 27*48=1296, Resulting Numbers: [72, 1296] Generated Node #3: [72, 1296] from Operation: 27*48=1296 Current State: 18:[72, 1296], Operations: ['56-8=48', '27*48=1296'] Exploring Operation: 1296/72=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 75, 83, 60, 61 ]
45
[ "60*61=3660", "75+3660=3735", "3735/83=45" ]
Current State: 45:[75, 83, 60, 61], Operations: [] Exploring Operation: 60*61=3660, Resulting Numbers: [75, 83, 3660] Generated Node #2: [75, 83, 3660] from Operation: 60*61=3660 Current State: 45:[75, 83, 3660], Operations: ['60*61=3660'] Exploring Operation: 75+3660=3735, Resulting Numbers: [83, 3735] Generated Node #3: [83, 3735] from Operation: 75+3660=3735 Current State: 45:[83, 3735], Operations: ['60*61=3660', '75+3660=3735'] Exploring Operation: 3735/83=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 60, 88, 49, 50 ]
58
[ "60-49=11", "88/11=8", "50+8=58" ]
Current State: 58:[60, 88, 49, 50], Operations: [] Exploring Operation: 60-49=11, Resulting Numbers: [88, 50, 11] Generated Node #2: [88, 50, 11] from Operation: 60-49=11 Current State: 58:[88, 50, 11], Operations: ['60-49=11'] Exploring Operation: 88/11=8, Resulting Numbers: [50, 8] Generated Node #3: [50, 8] from Operation: 88/11=8 Current State: 58:[50, 8], Operations: ['60-49=11', '88/11=8'] Exploring Operation: 50+8=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 66, 3, 18, 34 ]
62
[ "66+18=84", "84/3=28", "34+28=62" ]
Current State: 62:[66, 3, 18, 34], Operations: [] Exploring Operation: 66+18=84, Resulting Numbers: [3, 34, 84] Generated Node #2: [3, 34, 84] from Operation: 66+18=84 Current State: 62:[3, 34, 84], Operations: ['66+18=84'] Exploring Operation: 84/3=28, Resulting Numbers: [34, 28] Generated Node #3: [34, 28] from Operation: 84/3=28 Current State: 62:[34, 28], Operations: ['66+18=84', '84/3=28'] Exploring Operation: 34+28=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 36, 31, 92, 36 ]
11
[ "36+31=67", "92-36=56", "67-56=11" ]
Current State: 11:[36, 31, 92, 36], Operations: [] Exploring Operation: 36+31=67, Resulting Numbers: [92, 67] Generated Node #2: [92, 67] from Operation: 36+31=67 Current State: 11:[92, 67], Operations: ['36+31=67'] Exploring Operation: 92-36=56, Resulting Numbers: [67, 56] Generated Node #3: [67, 56] from Operation: 92-36=56 Current State: 11:[67, 56], Operations: ['36+31=67', '92-36=56'] Exploring Operation: 67-56=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 15, 9, 49, 19 ]
10
[ "19-15=4", "49-9=40", "40/4=10" ]
Current State: 10:[15, 9, 49, 19], Operations: [] Exploring Operation: 19-15=4, Resulting Numbers: [9, 49, 4] Generated Node #2: [9, 49, 4] from Operation: 19-15=4 Current State: 10:[9, 49, 4], Operations: ['19-15=4'] Exploring Operation: 49-9=40, Resulting Numbers: [4, 40] Generated Node #3: [4, 40] from Operation: 49-9=40 Current State: 10:[4, 40], Operations: ['19-15=4', '49-9=40'] Exploring Operation: 40/4=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 88, 2, 50, 33 ]
39
[ "88/2=44", "50+33=83", "83-44=39" ]
Current State: 39:[88, 2, 50, 33], Operations: [] Exploring Operation: 88/2=44, Resulting Numbers: [50, 33, 44] Generated Node #2: [50, 33, 44] from Operation: 88/2=44 Current State: 39:[50, 33, 44], Operations: ['88/2=44'] Exploring Operation: 50+33=83, Resulting Numbers: [44, 83] Generated Node #3: [44, 83] from Operation: 50+33=83 Current State: 39:[44, 83], Operations: ['88/2=44', '50+33=83'] Exploring Operation: 83-44=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 98, 3, 28, 80 ]
30
[ "98-28=70", "80-70=10", "3*10=30" ]
Current State: 30:[98, 3, 28, 80], Operations: [] Exploring Operation: 98-28=70, Resulting Numbers: [3, 80, 70] Generated Node #2: [3, 80, 70] from Operation: 98-28=70 Current State: 30:[3, 80, 70], Operations: ['98-28=70'] Exploring Operation: 80-70=10, Resulting Numbers: [3, 10] Generated Node #3: [3, 10] from Operation: 80-70=10 Current State: 30:[3, 10], Operations: ['98-28=70', '80-70=10'] Exploring Operation: 3*10=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 43, 2, 1, 1 ]
45
[ "43+2=45", "1*1=1", "45*1=45" ]
Current State: 45:[43, 2, 1, 1], Operations: [] Exploring Operation: 43+2=45, Resulting Numbers: [1, 1, 45] Generated Node #2: [1, 1, 45] from Operation: 43+2=45 Current State: 45:[1, 1, 45], Operations: ['43+2=45'] Exploring Operation: 1*1=1, Resulting Numbers: [45, 1] Generated Node #3: [45, 1] from Operation: 1*1=1 Current State: 45:[45, 1], Operations: ['43+2=45', '1*1=1'] Exploring Operation: 45*1=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 91, 78, 85, 35 ]
37
[ "91-78=13", "85-35=50", "50-13=37" ]
Current State: 37:[91, 78, 85, 35], Operations: [] Exploring Operation: 91-78=13, Resulting Numbers: [85, 35, 13] Generated Node #2: [85, 35, 13] from Operation: 91-78=13 Current State: 37:[85, 35, 13], Operations: ['91-78=13'] Exploring Operation: 85-35=50, Resulting Numbers: [13, 50] Generated Node #3: [13, 50] from Operation: 85-35=50 Current State: 37:[13, 50], Operations: ['91-78=13', '85-35=50'] Exploring Operation: 50-13=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 15, 59, 46, 43 ]
77
[ "15+59=74", "46-43=3", "74+3=77" ]
Current State: 77:[15, 59, 46, 43], Operations: [] Exploring Operation: 15+59=74, Resulting Numbers: [46, 43, 74] Generated Node #2: [46, 43, 74] from Operation: 15+59=74 Current State: 77:[46, 43, 74], Operations: ['15+59=74'] Exploring Operation: 46-43=3, Resulting Numbers: [74, 3] Generated Node #3: [74, 3] from Operation: 46-43=3 Current State: 77:[74, 3], Operations: ['15+59=74', '46-43=3'] Exploring Operation: 74+3=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 27, 75, 97, 2 ]
13
[ "27+97=124", "124/2=62", "75-62=13" ]
Current State: 13:[27, 75, 97, 2], Operations: [] Exploring Operation: 27+97=124, Resulting Numbers: [75, 2, 124] Generated Node #2: [75, 2, 124] from Operation: 27+97=124 Current State: 13:[75, 2, 124], Operations: ['27+97=124'] Exploring Operation: 124/2=62, Resulting Numbers: [75, 62] Generated Node #3: [75, 62] from Operation: 124/2=62 Current State: 13:[75, 62], Operations: ['27+97=124', '124/2=62'] Exploring Operation: 75-62=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 65, 63, 38, 50 ]
43
[ "63-50=13", "65/13=5", "38+5=43" ]
Current State: 43:[65, 63, 38, 50], Operations: [] Exploring Operation: 63-50=13, Resulting Numbers: [65, 38, 13] Generated Node #2: [65, 38, 13] from Operation: 63-50=13 Current State: 43:[65, 38, 13], Operations: ['63-50=13'] Exploring Operation: 65/13=5, Resulting Numbers: [38, 5] Generated Node #3: [38, 5] from Operation: 65/13=5 Current State: 43:[38, 5], Operations: ['63-50=13', '65/13=5'] Exploring Operation: 38+5=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 59, 51, 31, 5 ]
93
[ "59-51=8", "8-5=3", "31*3=93" ]
Current State: 93:[59, 51, 31, 5], Operations: [] Exploring Operation: 59-51=8, Resulting Numbers: [31, 5, 8] Generated Node #2: [31, 5, 8] from Operation: 59-51=8 Current State: 93:[31, 5, 8], Operations: ['59-51=8'] Exploring Operation: 8-5=3, Resulting Numbers: [31, 3] Generated Node #3: [31, 3] from Operation: 8-5=3 Current State: 93:[31, 3], Operations: ['59-51=8', '8-5=3'] Exploring Operation: 31*3=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 41, 35, 80, 29 ]
69
[ "35*80=2800", "29+2800=2829", "2829/41=69" ]
Current State: 69:[41, 35, 80, 29], Operations: [] Exploring Operation: 35*80=2800, Resulting Numbers: [41, 29, 2800] Generated Node #2: [41, 29, 2800] from Operation: 35*80=2800 Current State: 69:[41, 29, 2800], Operations: ['35*80=2800'] Exploring Operation: 29+2800=2829, Resulting Numbers: [41, 2829] Generated Node #3: [41, 2829] from Operation: 29+2800=2829 Current State: 69:[41, 2829], Operations: ['35*80=2800', '29+2800=2829'] Exploring Operation: 2829/41=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 7, 34, 61, 41 ]
62
[ "7+34=41", "41/41=1", "61+1=62" ]
Current State: 62:[7, 34, 61, 41], Operations: [] Exploring Operation: 7+34=41, Resulting Numbers: [61, 41, 41] Generated Node #2: [61, 41, 41] from Operation: 7+34=41 Current State: 62:[61, 41, 41], Operations: ['7+34=41'] Exploring Operation: 41/41=1, Resulting Numbers: [61, 1] Generated Node #3: [61, 1] from Operation: 41/41=1 Current State: 62:[61, 1], Operations: ['7+34=41', '41/41=1'] Exploring Operation: 61+1=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 28, 41, 32, 3 ]
61
[ "28+32=60", "60/3=20", "41+20=61" ]
Current State: 61:[28, 41, 32, 3], Operations: [] Exploring Operation: 28+32=60, Resulting Numbers: [41, 3, 60] Generated Node #2: [41, 3, 60] from Operation: 28+32=60 Current State: 61:[41, 3, 60], Operations: ['28+32=60'] Exploring Operation: 60/3=20, Resulting Numbers: [41, 20] Generated Node #3: [41, 20] from Operation: 60/3=20 Current State: 61:[41, 20], Operations: ['28+32=60', '60/3=20'] Exploring Operation: 41+20=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 13, 52, 7, 88 ]
49
[ "13*7=91", "52+88=140", "140-91=49" ]
Current State: 49:[13, 52, 7, 88], Operations: [] Exploring Operation: 13*7=91, Resulting Numbers: [52, 88, 91] Generated Node #2: [52, 88, 91] from Operation: 13*7=91 Current State: 49:[52, 88, 91], Operations: ['13*7=91'] Exploring Operation: 52+88=140, Resulting Numbers: [91, 140] Generated Node #3: [91, 140] from Operation: 52+88=140 Current State: 49:[91, 140], Operations: ['13*7=91', '52+88=140'] Exploring Operation: 140-91=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 85, 93, 42, 2 ]
52
[ "93-85=8", "42+2=44", "8+44=52" ]
Current State: 52:[85, 93, 42, 2], Operations: [] Exploring Operation: 93-85=8, Resulting Numbers: [42, 2, 8] Generated Node #2: [42, 2, 8] from Operation: 93-85=8 Current State: 52:[42, 2, 8], Operations: ['93-85=8'] Exploring Operation: 42+2=44, Resulting Numbers: [8, 44] Generated Node #3: [8, 44] from Operation: 42+2=44 Current State: 52:[8, 44], Operations: ['93-85=8', '42+2=44'] Exploring Operation: 8+44=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 9, 74, 58, 98 ]
76
[ "58-9=49", "98/49=2", "74+2=76" ]
Current State: 76:[9, 74, 58, 98], Operations: [] Exploring Operation: 58-9=49, Resulting Numbers: [74, 98, 49] Generated Node #2: [74, 98, 49] from Operation: 58-9=49 Current State: 76:[74, 98, 49], Operations: ['58-9=49'] Exploring Operation: 98/49=2, Resulting Numbers: [74, 2] Generated Node #3: [74, 2] from Operation: 98/49=2 Current State: 76:[74, 2], Operations: ['58-9=49', '98/49=2'] Exploring Operation: 74+2=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 10, 9, 73, 59 ]
42
[ "10*9=90", "73+59=132", "132-90=42" ]
Current State: 42:[10, 9, 73, 59], Operations: [] Exploring Operation: 10*9=90, Resulting Numbers: [73, 59, 90] Generated Node #2: [73, 59, 90] from Operation: 10*9=90 Current State: 42:[73, 59, 90], Operations: ['10*9=90'] Exploring Operation: 73+59=132, Resulting Numbers: [90, 132] Generated Node #3: [90, 132] from Operation: 73+59=132 Current State: 42:[90, 132], Operations: ['10*9=90', '73+59=132'] Exploring Operation: 132-90=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 66, 35, 65, 26 ]
80
[ "35*26=910", "910/65=14", "66+14=80" ]
Current State: 80:[66, 35, 65, 26], Operations: [] Exploring Operation: 35*26=910, Resulting Numbers: [66, 65, 910] Generated Node #2: [66, 65, 910] from Operation: 35*26=910 Current State: 80:[66, 65, 910], Operations: ['35*26=910'] Exploring Operation: 910/65=14, Resulting Numbers: [66, 14] Generated Node #3: [66, 14] from Operation: 910/65=14 Current State: 80:[66, 14], Operations: ['35*26=910', '910/65=14'] Exploring Operation: 66+14=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 5, 19, 22, 9 ]
61
[ "5*22=110", "19*9=171", "171-110=61" ]
Current State: 61:[5, 19, 22, 9], Operations: [] Exploring Operation: 5*22=110, Resulting Numbers: [19, 9, 110] Generated Node #2: [19, 9, 110] from Operation: 5*22=110 Current State: 61:[19, 9, 110], Operations: ['5*22=110'] Exploring Operation: 19*9=171, Resulting Numbers: [110, 171] Generated Node #3: [110, 171] from Operation: 19*9=171 Current State: 61:[110, 171], Operations: ['5*22=110', '19*9=171'] Exploring Operation: 171-110=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 47, 81, 31, 6 ]
94
[ "47+31=78", "78/6=13", "81+13=94" ]
Current State: 94:[47, 81, 31, 6], Operations: [] Exploring Operation: 47+31=78, Resulting Numbers: [81, 6, 78] Generated Node #2: [81, 6, 78] from Operation: 47+31=78 Current State: 94:[81, 6, 78], Operations: ['47+31=78'] Exploring Operation: 78/6=13, Resulting Numbers: [81, 13] Generated Node #3: [81, 13] from Operation: 78/6=13 Current State: 94:[81, 13], Operations: ['47+31=78', '78/6=13'] Exploring Operation: 81+13=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 28, 28, 4, 23 ]
12
[ "28/4=7", "28-23=5", "7+5=12" ]
Current State: 12:[28, 28, 4, 23], Operations: [] Exploring Operation: 28/4=7, Resulting Numbers: [23, 7] Generated Node #2: [23, 7] from Operation: 28/4=7 Current State: 12:[23, 7], Operations: ['28/4=7'] Exploring Operation: 28-23=5, Resulting Numbers: [7, 5] Generated Node #3: [7, 5] from Operation: 28-23=5 Current State: 12:[7, 5], Operations: ['28/4=7', '28-23=5'] Exploring Operation: 7+5=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 3, 95, 60, 45 ]
90
[ "95-45=50", "3*50=150", "150-60=90" ]
Current State: 90:[3, 95, 60, 45], Operations: [] Exploring Operation: 95-45=50, Resulting Numbers: [3, 60, 50] Generated Node #2: [3, 60, 50] from Operation: 95-45=50 Current State: 90:[3, 60, 50], Operations: ['95-45=50'] Exploring Operation: 3*50=150, Resulting Numbers: [60, 150] Generated Node #3: [60, 150] from Operation: 3*50=150 Current State: 90:[60, 150], Operations: ['95-45=50', '3*50=150'] Exploring Operation: 150-60=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 49, 87, 87, 84 ]
35
[ "49+87=136", "87+84=171", "171-136=35" ]
Current State: 35:[49, 87, 87, 84], Operations: [] Exploring Operation: 49+87=136, Resulting Numbers: [84, 136] Generated Node #2: [84, 136] from Operation: 49+87=136 Current State: 35:[84, 136], Operations: ['49+87=136'] Exploring Operation: 87+84=171, Resulting Numbers: [136, 171] Generated Node #3: [136, 171] from Operation: 87+84=171 Current State: 35:[136, 171], Operations: ['49+87=136', '87+84=171'] Exploring Operation: 171-136=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 91, 91, 70, 26 ]
26
[ "91-91=0", "70*0=0", "26+0=26" ]
Current State: 26:[91, 91, 70, 26], Operations: [] Exploring Operation: 91-91=0, Resulting Numbers: [70, 26, 0] Generated Node #2: [70, 26, 0] from Operation: 91-91=0 Current State: 26:[70, 26, 0], Operations: ['91-91=0'] Exploring Operation: 70*0=0, Resulting Numbers: [26, 0] Generated Node #3: [26, 0] from Operation: 70*0=0 Current State: 26:[26, 0], Operations: ['91-91=0', '70*0=0'] Exploring Operation: 26+0=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 84, 3, 77, 9 ]
21
[ "84-77=7", "9/3=3", "7*3=21" ]
Current State: 21:[84, 3, 77, 9], Operations: [] Exploring Operation: 84-77=7, Resulting Numbers: [3, 9, 7] Generated Node #2: [3, 9, 7] from Operation: 84-77=7 Current State: 21:[3, 9, 7], Operations: ['84-77=7'] Exploring Operation: 9/3=3, Resulting Numbers: [7, 3] Generated Node #3: [7, 3] from Operation: 9/3=3 Current State: 21:[7, 3], Operations: ['84-77=7', '9/3=3'] Exploring Operation: 7*3=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 54, 38, 51, 58 ]
52
[ "58-54=4", "51-38=13", "4*13=52" ]
Current State: 52:[54, 38, 51, 58], Operations: [] Exploring Operation: 58-54=4, Resulting Numbers: [38, 51, 4] Generated Node #2: [38, 51, 4] from Operation: 58-54=4 Current State: 52:[38, 51, 4], Operations: ['58-54=4'] Exploring Operation: 51-38=13, Resulting Numbers: [4, 13] Generated Node #3: [4, 13] from Operation: 51-38=13 Current State: 52:[4, 13], Operations: ['58-54=4', '51-38=13'] Exploring Operation: 4*13=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 45, 85, 31, 60 ]
51
[ "85-45=40", "31+60=91", "91-40=51" ]
Current State: 51:[45, 85, 31, 60], Operations: [] Exploring Operation: 85-45=40, Resulting Numbers: [31, 60, 40] Generated Node #2: [31, 60, 40] from Operation: 85-45=40 Current State: 51:[31, 60, 40], Operations: ['85-45=40'] Exploring Operation: 31+60=91, Resulting Numbers: [40, 91] Generated Node #3: [40, 91] from Operation: 31+60=91 Current State: 51:[40, 91], Operations: ['85-45=40', '31+60=91'] Exploring Operation: 91-40=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 70, 9, 54, 90 ]
72
[ "54-9=45", "90/45=2", "70+2=72" ]
Current State: 72:[70, 9, 54, 90], Operations: [] Exploring Operation: 54-9=45, Resulting Numbers: [70, 90, 45] Generated Node #2: [70, 90, 45] from Operation: 54-9=45 Current State: 72:[70, 90, 45], Operations: ['54-9=45'] Exploring Operation: 90/45=2, Resulting Numbers: [70, 2] Generated Node #3: [70, 2] from Operation: 90/45=2 Current State: 72:[70, 2], Operations: ['54-9=45', '90/45=2'] Exploring Operation: 70+2=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4