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
[ 3, 72, 3, 30 ]
79
[ "72-3=69", "30/3=10", "69+10=79" ]
Current State: 79:[3, 72, 3, 30], Operations: [] Exploring Operation: 72-3=69, Resulting Numbers: [30, 69] Generated Node #2: [30, 69] from Operation: 72-3=69 Current State: 79:[30, 69], Operations: ['72-3=69'] Exploring Operation: 30/3=10, Resulting Numbers: [69, 10] Generated Node #3: [69, 10] from Operation: 30/3=10 Current State: 79:[69, 10], Operations: ['72-3=69', '30/3=10'] Exploring Operation: 69+10=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 95, 7, 39, 35 ]
92
[ "95-7=88", "39-35=4", "88+4=92" ]
Current State: 92:[95, 7, 39, 35], Operations: [] Exploring Operation: 95-7=88, Resulting Numbers: [39, 35, 88] Generated Node #2: [39, 35, 88] from Operation: 95-7=88 Current State: 92:[39, 35, 88], Operations: ['95-7=88'] Exploring Operation: 39-35=4, Resulting Numbers: [88, 4] Generated Node #3: [88, 4] from Operation: 39-35=4 Current State: 92:[88, 4], Operations: ['95-7=88', '39-35=4'] Exploring Operation: 88+4=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 98, 95, 51, 34 ]
51
[ "98-95=3", "51-34=17", "3*17=51" ]
Current State: 51:[98, 95, 51, 34], Operations: [] Exploring Operation: 98-95=3, Resulting Numbers: [51, 34, 3] Generated Node #2: [51, 34, 3] from Operation: 98-95=3 Current State: 51:[51, 34, 3], Operations: ['98-95=3'] Exploring Operation: 51-34=17, Resulting Numbers: [3, 17] Generated Node #3: [3, 17] from Operation: 51-34=17 Current State: 51:[3, 17], Operations: ['98-95=3', '51-34=17'] Exploring Operation: 3*17=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 44, 25, 31, 60 ]
34
[ "31-25=6", "60/6=10", "44-10=34" ]
Current State: 34:[44, 25, 31, 60], Operations: [] Exploring Operation: 31-25=6, Resulting Numbers: [44, 60, 6] Generated Node #2: [44, 60, 6] from Operation: 31-25=6 Current State: 34:[44, 60, 6], Operations: ['31-25=6'] Exploring Operation: 60/6=10, Resulting Numbers: [44, 10] Generated Node #3: [44, 10] from Operation: 60/6=10 Current State: 34:[44, 10], Operations: ['31-25=6', '60/6=10'] Exploring Operation: 44-10=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 68, 8, 51, 46 ]
90
[ "68-51=17", "8*17=136", "136-46=90" ]
Current State: 90:[68, 8, 51, 46], Operations: [] Exploring Operation: 68-51=17, Resulting Numbers: [8, 46, 17] Generated Node #2: [8, 46, 17] from Operation: 68-51=17 Current State: 90:[8, 46, 17], Operations: ['68-51=17'] Exploring Operation: 8*17=136, Resulting Numbers: [46, 136] Generated Node #3: [46, 136] from Operation: 8*17=136 Current State: 90:[46, 136], Operations: ['68-51=17', '8*17=136'] Exploring Operation: 136-46=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 75, 57, 59, 16 ]
93
[ "75-57=18", "59+16=75", "18+75=93" ]
Current State: 93:[75, 57, 59, 16], Operations: [] Exploring Operation: 75-57=18, Resulting Numbers: [59, 16, 18] Generated Node #2: [59, 16, 18] from Operation: 75-57=18 Current State: 93:[59, 16, 18], Operations: ['75-57=18'] Exploring Operation: 59+16=75, Resulting Numbers: [18, 75] Generated Node #3: [18, 75] from Operation: 59+16=75 Current State: 93:[18, 75], Operations: ['75-57=18', '59+16=75'] Exploring Operation: 18+75=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 13, 72, 27, 5 ]
53
[ "13+72=85", "27+5=32", "85-32=53" ]
Current State: 53:[13, 72, 27, 5], Operations: [] Exploring Operation: 13+72=85, Resulting Numbers: [27, 5, 85] Generated Node #2: [27, 5, 85] from Operation: 13+72=85 Current State: 53:[27, 5, 85], Operations: ['13+72=85'] Exploring Operation: 27+5=32, Resulting Numbers: [85, 32] Generated Node #3: [85, 32] from Operation: 27+5=32 Current State: 53:[85, 32], Operations: ['13+72=85', '27+5=32'] Exploring Operation: 85-32=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 19, 62, 14, 96 ]
21
[ "62-14=48", "96/48=2", "19+2=21" ]
Current State: 21:[19, 62, 14, 96], Operations: [] Exploring Operation: 62-14=48, Resulting Numbers: [19, 96, 48] Generated Node #2: [19, 96, 48] from Operation: 62-14=48 Current State: 21:[19, 96, 48], Operations: ['62-14=48'] Exploring Operation: 96/48=2, Resulting Numbers: [19, 2] Generated Node #3: [19, 2] from Operation: 96/48=2 Current State: 21:[19, 2], Operations: ['62-14=48', '96/48=2'] Exploring Operation: 19+2=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 61, 1, 85, 47 ]
23
[ "61*1=61", "85-47=38", "61-38=23" ]
Current State: 23:[61, 1, 85, 47], Operations: [] Exploring Operation: 61*1=61, Resulting Numbers: [85, 47, 61] Generated Node #2: [85, 47, 61] from Operation: 61*1=61 Current State: 23:[85, 47, 61], Operations: ['61*1=61'] Exploring Operation: 85-47=38, Resulting Numbers: [61, 38] Generated Node #3: [61, 38] from Operation: 85-47=38 Current State: 23:[61, 38], Operations: ['61*1=61', '85-47=38'] Exploring Operation: 61-38=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 61, 60, 10, 63 ]
31
[ "63-60=3", "10*3=30", "61-30=31" ]
Current State: 31:[61, 60, 10, 63], Operations: [] Exploring Operation: 63-60=3, Resulting Numbers: [61, 10, 3] Generated Node #2: [61, 10, 3] from Operation: 63-60=3 Current State: 31:[61, 10, 3], Operations: ['63-60=3'] Exploring Operation: 10*3=30, Resulting Numbers: [61, 30] Generated Node #3: [61, 30] from Operation: 10*3=30 Current State: 31:[61, 30], Operations: ['63-60=3', '10*3=30'] Exploring Operation: 61-30=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 75, 86, 74, 88 ]
82
[ "86-75=11", "88/11=8", "74+8=82" ]
Current State: 82:[75, 86, 74, 88], Operations: [] Exploring Operation: 86-75=11, Resulting Numbers: [74, 88, 11] Generated Node #2: [74, 88, 11] from Operation: 86-75=11 Current State: 82:[74, 88, 11], Operations: ['86-75=11'] Exploring Operation: 88/11=8, Resulting Numbers: [74, 8] Generated Node #3: [74, 8] from Operation: 88/11=8 Current State: 82:[74, 8], Operations: ['86-75=11', '88/11=8'] Exploring Operation: 74+8=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 46, 76, 80, 62 ]
12
[ "76-46=30", "80-62=18", "30-18=12" ]
Current State: 12:[46, 76, 80, 62], Operations: [] Exploring Operation: 76-46=30, Resulting Numbers: [80, 62, 30] Generated Node #2: [80, 62, 30] from Operation: 76-46=30 Current State: 12:[80, 62, 30], Operations: ['76-46=30'] Exploring Operation: 80-62=18, Resulting Numbers: [30, 18] Generated Node #3: [30, 18] from Operation: 80-62=18 Current State: 12:[30, 18], Operations: ['76-46=30', '80-62=18'] Exploring Operation: 30-18=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 48, 44, 46, 70 ]
44
[ "70-48=22", "46-44=2", "22*2=44" ]
Current State: 44:[48, 44, 46, 70], Operations: [] Exploring Operation: 70-48=22, Resulting Numbers: [44, 46, 22] Generated Node #2: [44, 46, 22] from Operation: 70-48=22 Current State: 44:[44, 46, 22], Operations: ['70-48=22'] Exploring Operation: 46-44=2, Resulting Numbers: [22, 2] Generated Node #3: [22, 2] from Operation: 46-44=2 Current State: 44:[22, 2], Operations: ['70-48=22', '46-44=2'] Exploring Operation: 22*2=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 97, 26, 83, 30 ]
70
[ "97+26=123", "83-30=53", "123-53=70" ]
Current State: 70:[97, 26, 83, 30], Operations: [] Exploring Operation: 97+26=123, Resulting Numbers: [83, 30, 123] Generated Node #2: [83, 30, 123] from Operation: 97+26=123 Current State: 70:[83, 30, 123], Operations: ['97+26=123'] Exploring Operation: 83-30=53, Resulting Numbers: [123, 53] Generated Node #3: [123, 53] from Operation: 83-30=53 Current State: 70:[123, 53], Operations: ['97+26=123', '83-30=53'] Exploring Operation: 123-53=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 50, 54, 64, 16 ]
20
[ "54-50=4", "64+16=80", "80/4=20" ]
Current State: 20:[50, 54, 64, 16], Operations: [] Exploring Operation: 54-50=4, Resulting Numbers: [64, 16, 4] Generated Node #2: [64, 16, 4] from Operation: 54-50=4 Current State: 20:[64, 16, 4], Operations: ['54-50=4'] Exploring Operation: 64+16=80, Resulting Numbers: [4, 80] Generated Node #3: [4, 80] from Operation: 64+16=80 Current State: 20:[4, 80], Operations: ['54-50=4', '64+16=80'] Exploring Operation: 80/4=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 87, 8, 9, 7 ]
81
[ "87-8=79", "9-7=2", "79+2=81" ]
Current State: 81:[87, 8, 9, 7], Operations: [] Exploring Operation: 87-8=79, Resulting Numbers: [9, 7, 79] Generated Node #2: [9, 7, 79] from Operation: 87-8=79 Current State: 81:[9, 7, 79], Operations: ['87-8=79'] Exploring Operation: 9-7=2, Resulting Numbers: [79, 2] Generated Node #3: [79, 2] from Operation: 9-7=2 Current State: 81:[79, 2], Operations: ['87-8=79', '9-7=2'] Exploring Operation: 79+2=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 17, 80, 72, 55 ]
79
[ "72-17=55", "55/55=1", "80-1=79" ]
Current State: 79:[17, 80, 72, 55], Operations: [] Exploring Operation: 72-17=55, Resulting Numbers: [80, 55, 55] Generated Node #2: [80, 55, 55] from Operation: 72-17=55 Current State: 79:[80, 55, 55], Operations: ['72-17=55'] Exploring Operation: 55/55=1, Resulting Numbers: [80, 1] Generated Node #3: [80, 1] from Operation: 55/55=1 Current State: 79:[80, 1], Operations: ['72-17=55', '55/55=1'] Exploring Operation: 80-1=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 10, 55, 40, 1 ]
86
[ "55-10=45", "40+1=41", "45+41=86" ]
Current State: 86:[10, 55, 40, 1], Operations: [] Exploring Operation: 55-10=45, Resulting Numbers: [40, 1, 45] Generated Node #2: [40, 1, 45] from Operation: 55-10=45 Current State: 86:[40, 1, 45], Operations: ['55-10=45'] Exploring Operation: 40+1=41, Resulting Numbers: [45, 41] Generated Node #3: [45, 41] from Operation: 40+1=41 Current State: 86:[45, 41], Operations: ['55-10=45', '40+1=41'] Exploring Operation: 45+41=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 4, 84, 52, 65 ]
29
[ "4+84=88", "52+65=117", "117-88=29" ]
Current State: 29:[4, 84, 52, 65], Operations: [] Exploring Operation: 4+84=88, Resulting Numbers: [52, 65, 88] Generated Node #2: [52, 65, 88] from Operation: 4+84=88 Current State: 29:[52, 65, 88], Operations: ['4+84=88'] Exploring Operation: 52+65=117, Resulting Numbers: [88, 117] Generated Node #3: [88, 117] from Operation: 52+65=117 Current State: 29:[88, 117], Operations: ['4+84=88', '52+65=117'] Exploring Operation: 117-88=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 42, 81, 4, 2 ]
85
[ "42*4=168", "81+2=83", "168-83=85" ]
Current State: 85:[42, 81, 4, 2], Operations: [] Exploring Operation: 42*4=168, Resulting Numbers: [81, 2, 168] Generated Node #2: [81, 2, 168] from Operation: 42*4=168 Current State: 85:[81, 2, 168], Operations: ['42*4=168'] Exploring Operation: 81+2=83, Resulting Numbers: [168, 83] Generated Node #3: [168, 83] from Operation: 81+2=83 Current State: 85:[168, 83], Operations: ['42*4=168', '81+2=83'] Exploring Operation: 168-83=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 13, 6, 38, 9 ]
77
[ "9-6=3", "13*3=39", "38+39=77" ]
Current State: 77:[13, 6, 38, 9], Operations: [] Exploring Operation: 9-6=3, Resulting Numbers: [13, 38, 3] Generated Node #2: [13, 38, 3] from Operation: 9-6=3 Current State: 77:[13, 38, 3], Operations: ['9-6=3'] Exploring Operation: 13*3=39, Resulting Numbers: [38, 39] Generated Node #3: [38, 39] from Operation: 13*3=39 Current State: 77:[38, 39], Operations: ['9-6=3', '13*3=39'] Exploring Operation: 38+39=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 39, 50, 7, 13 ]
52
[ "50-39=11", "11-7=4", "13*4=52" ]
Current State: 52:[39, 50, 7, 13], Operations: [] Exploring Operation: 50-39=11, Resulting Numbers: [7, 13, 11] Generated Node #2: [7, 13, 11] from Operation: 50-39=11 Current State: 52:[7, 13, 11], Operations: ['50-39=11'] Exploring Operation: 11-7=4, Resulting Numbers: [13, 4] Generated Node #3: [13, 4] from Operation: 11-7=4 Current State: 52:[13, 4], Operations: ['50-39=11', '11-7=4'] Exploring Operation: 13*4=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 47, 19, 67, 35 ]
41
[ "47+67=114", "114/19=6", "35+6=41" ]
Current State: 41:[47, 19, 67, 35], Operations: [] Exploring Operation: 47+67=114, Resulting Numbers: [19, 35, 114] Generated Node #2: [19, 35, 114] from Operation: 47+67=114 Current State: 41:[19, 35, 114], Operations: ['47+67=114'] Exploring Operation: 114/19=6, Resulting Numbers: [35, 6] Generated Node #3: [35, 6] from Operation: 114/19=6 Current State: 41:[35, 6], Operations: ['47+67=114', '114/19=6'] Exploring Operation: 35+6=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 34, 11, 60, 81 ]
44
[ "34-11=23", "81-60=21", "23+21=44" ]
Current State: 44:[34, 11, 60, 81], Operations: [] Exploring Operation: 34-11=23, Resulting Numbers: [60, 81, 23] Generated Node #2: [60, 81, 23] from Operation: 34-11=23 Current State: 44:[60, 81, 23], Operations: ['34-11=23'] Exploring Operation: 81-60=21, Resulting Numbers: [23, 21] Generated Node #3: [23, 21] from Operation: 81-60=21 Current State: 44:[23, 21], Operations: ['34-11=23', '81-60=21'] Exploring Operation: 23+21=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 24, 71, 8, 57 ]
64
[ "24*8=192", "71+57=128", "192-128=64" ]
Current State: 64:[24, 71, 8, 57], Operations: [] Exploring Operation: 24*8=192, Resulting Numbers: [71, 57, 192] Generated Node #2: [71, 57, 192] from Operation: 24*8=192 Current State: 64:[71, 57, 192], Operations: ['24*8=192'] Exploring Operation: 71+57=128, Resulting Numbers: [192, 128] Generated Node #3: [192, 128] from Operation: 71+57=128 Current State: 64:[192, 128], Operations: ['24*8=192', '71+57=128'] Exploring Operation: 192-128=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 29, 81, 32, 62 ]
81
[ "29+32=61", "62-61=1", "81*1=81" ]
Current State: 81:[29, 81, 32, 62], Operations: [] Exploring Operation: 29+32=61, Resulting Numbers: [81, 62, 61] Generated Node #2: [81, 62, 61] from Operation: 29+32=61 Current State: 81:[81, 62, 61], Operations: ['29+32=61'] Exploring Operation: 62-61=1, Resulting Numbers: [81, 1] Generated Node #3: [81, 1] from Operation: 62-61=1 Current State: 81:[81, 1], Operations: ['29+32=61', '62-61=1'] Exploring Operation: 81*1=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 15, 9, 8, 33 ]
21
[ "15*9=135", "33+135=168", "168/8=21" ]
Current State: 21:[15, 9, 8, 33], Operations: [] Exploring Operation: 15*9=135, Resulting Numbers: [8, 33, 135] Generated Node #2: [8, 33, 135] from Operation: 15*9=135 Current State: 21:[8, 33, 135], Operations: ['15*9=135'] Exploring Operation: 33+135=168, Resulting Numbers: [8, 168] Generated Node #3: [8, 168] from Operation: 33+135=168 Current State: 21:[8, 168], Operations: ['15*9=135', '33+135=168'] Exploring Operation: 168/8=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 5, 43, 93, 80 ]
61
[ "5+43=48", "93-80=13", "48+13=61" ]
Current State: 61:[5, 43, 93, 80], Operations: [] Exploring Operation: 5+43=48, Resulting Numbers: [93, 80, 48] Generated Node #2: [93, 80, 48] from Operation: 5+43=48 Current State: 61:[93, 80, 48], Operations: ['5+43=48'] Exploring Operation: 93-80=13, Resulting Numbers: [48, 13] Generated Node #3: [48, 13] from Operation: 93-80=13 Current State: 61:[48, 13], Operations: ['5+43=48', '93-80=13'] Exploring Operation: 48+13=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 9, 7, 23, 9 ]
41
[ "9-7=2", "9*2=18", "23+18=41" ]
Current State: 41:[9, 7, 23, 9], Operations: [] Exploring Operation: 9-7=2, Resulting Numbers: [23, 2] Generated Node #2: [23, 2] from Operation: 9-7=2 Current State: 41:[23, 2], Operations: ['9-7=2'] Exploring Operation: 9*2=18, Resulting Numbers: [23, 18] Generated Node #3: [23, 18] from Operation: 9*2=18 Current State: 41:[23, 18], Operations: ['9-7=2', '9*2=18'] Exploring Operation: 23+18=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 51, 17, 61, 56 ]
49
[ "51+17=68", "61+56=117", "117-68=49" ]
Current State: 49:[51, 17, 61, 56], Operations: [] Exploring Operation: 51+17=68, Resulting Numbers: [61, 56, 68] Generated Node #2: [61, 56, 68] from Operation: 51+17=68 Current State: 49:[61, 56, 68], Operations: ['51+17=68'] Exploring Operation: 61+56=117, Resulting Numbers: [68, 117] Generated Node #3: [68, 117] from Operation: 61+56=117 Current State: 49:[68, 117], Operations: ['51+17=68', '61+56=117'] Exploring Operation: 117-68=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 65, 95, 15, 18 ]
16
[ "95-65=30", "30/15=2", "18-2=16" ]
Current State: 16:[65, 95, 15, 18], Operations: [] Exploring Operation: 95-65=30, Resulting Numbers: [15, 18, 30] Generated Node #2: [15, 18, 30] from Operation: 95-65=30 Current State: 16:[15, 18, 30], Operations: ['95-65=30'] Exploring Operation: 30/15=2, Resulting Numbers: [18, 2] Generated Node #3: [18, 2] from Operation: 30/15=2 Current State: 16:[18, 2], Operations: ['95-65=30', '30/15=2'] Exploring Operation: 18-2=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 24, 8, 47, 80 ]
99
[ "24/8=3", "80-47=33", "3*33=99" ]
Current State: 99:[24, 8, 47, 80], Operations: [] Exploring Operation: 24/8=3, Resulting Numbers: [47, 80, 3] Generated Node #2: [47, 80, 3] from Operation: 24/8=3 Current State: 99:[47, 80, 3], Operations: ['24/8=3'] Exploring Operation: 80-47=33, Resulting Numbers: [3, 33] Generated Node #3: [3, 33] from Operation: 80-47=33 Current State: 99:[3, 33], Operations: ['24/8=3', '80-47=33'] Exploring Operation: 3*33=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 35, 6, 58, 40 ]
59
[ "35+6=41", "58-40=18", "41+18=59" ]
Current State: 59:[35, 6, 58, 40], Operations: [] Exploring Operation: 35+6=41, Resulting Numbers: [58, 40, 41] Generated Node #2: [58, 40, 41] from Operation: 35+6=41 Current State: 59:[58, 40, 41], Operations: ['35+6=41'] Exploring Operation: 58-40=18, Resulting Numbers: [41, 18] Generated Node #3: [41, 18] from Operation: 58-40=18 Current State: 59:[41, 18], Operations: ['35+6=41', '58-40=18'] Exploring Operation: 41+18=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 12, 81, 66, 77 ]
82
[ "12+81=93", "77-66=11", "93-11=82" ]
Current State: 82:[12, 81, 66, 77], Operations: [] Exploring Operation: 12+81=93, Resulting Numbers: [66, 77, 93] Generated Node #2: [66, 77, 93] from Operation: 12+81=93 Current State: 82:[66, 77, 93], Operations: ['12+81=93'] Exploring Operation: 77-66=11, Resulting Numbers: [93, 11] Generated Node #3: [93, 11] from Operation: 77-66=11 Current State: 82:[93, 11], Operations: ['12+81=93', '77-66=11'] Exploring Operation: 93-11=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 5, 54, 97, 51 ]
99
[ "54-5=49", "97+51=148", "148-49=99" ]
Current State: 99:[5, 54, 97, 51], Operations: [] Exploring Operation: 54-5=49, Resulting Numbers: [97, 51, 49] Generated Node #2: [97, 51, 49] from Operation: 54-5=49 Current State: 99:[97, 51, 49], Operations: ['54-5=49'] Exploring Operation: 97+51=148, Resulting Numbers: [49, 148] Generated Node #3: [49, 148] from Operation: 97+51=148 Current State: 99:[49, 148], Operations: ['54-5=49', '97+51=148'] Exploring Operation: 148-49=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 83, 67, 22, 2 ]
64
[ "83+67=150", "150-22=128", "128/2=64" ]
Current State: 64:[83, 67, 22, 2], Operations: [] Exploring Operation: 83+67=150, Resulting Numbers: [22, 2, 150] Generated Node #2: [22, 2, 150] from Operation: 83+67=150 Current State: 64:[22, 2, 150], Operations: ['83+67=150'] Exploring Operation: 150-22=128, Resulting Numbers: [2, 128] Generated Node #3: [2, 128] from Operation: 150-22=128 Current State: 64:[2, 128], Operations: ['83+67=150', '150-22=128'] Exploring Operation: 128/2=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 89, 3, 32, 50 ]
95
[ "50-32=18", "18/3=6", "89+6=95" ]
Current State: 95:[89, 3, 32, 50], Operations: [] Exploring Operation: 50-32=18, Resulting Numbers: [89, 3, 18] Generated Node #2: [89, 3, 18] from Operation: 50-32=18 Current State: 95:[89, 3, 18], Operations: ['50-32=18'] Exploring Operation: 18/3=6, Resulting Numbers: [89, 6] Generated Node #3: [89, 6] from Operation: 18/3=6 Current State: 95:[89, 6], Operations: ['50-32=18', '18/3=6'] Exploring Operation: 89+6=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 28, 37, 19, 92 ]
48
[ "19*92=1748", "28+1748=1776", "1776/37=48" ]
Current State: 48:[28, 37, 19, 92], Operations: [] Exploring Operation: 19*92=1748, Resulting Numbers: [28, 37, 1748] Generated Node #2: [28, 37, 1748] from Operation: 19*92=1748 Current State: 48:[28, 37, 1748], Operations: ['19*92=1748'] Exploring Operation: 28+1748=1776, Resulting Numbers: [37, 1776] Generated Node #3: [37, 1776] from Operation: 28+1748=1776 Current State: 48:[37, 1776], Operations: ['19*92=1748', '28+1748=1776'] Exploring Operation: 1776/37=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 79, 78, 66, 83 ]
65
[ "79-66=13", "83-78=5", "13*5=65" ]
Current State: 65:[79, 78, 66, 83], Operations: [] Exploring Operation: 79-66=13, Resulting Numbers: [78, 83, 13] Generated Node #2: [78, 83, 13] from Operation: 79-66=13 Current State: 65:[78, 83, 13], Operations: ['79-66=13'] Exploring Operation: 83-78=5, Resulting Numbers: [13, 5] Generated Node #3: [13, 5] from Operation: 83-78=5 Current State: 65:[13, 5], Operations: ['79-66=13', '83-78=5'] Exploring Operation: 13*5=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 50, 80, 45, 70 ]
50
[ "50-45=5", "80-70=10", "5*10=50" ]
Current State: 50:[50, 80, 45, 70], Operations: [] Exploring Operation: 50-45=5, Resulting Numbers: [80, 70, 5] Generated Node #2: [80, 70, 5] from Operation: 50-45=5 Current State: 50:[80, 70, 5], Operations: ['50-45=5'] Exploring Operation: 80-70=10, Resulting Numbers: [5, 10] Generated Node #3: [5, 10] from Operation: 80-70=10 Current State: 50:[5, 10], Operations: ['50-45=5', '80-70=10'] Exploring Operation: 5*10=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 54, 14, 46, 3 ]
25
[ "54+14=68", "46-3=43", "68-43=25" ]
Current State: 25:[54, 14, 46, 3], Operations: [] Exploring Operation: 54+14=68, Resulting Numbers: [46, 3, 68] Generated Node #2: [46, 3, 68] from Operation: 54+14=68 Current State: 25:[46, 3, 68], Operations: ['54+14=68'] Exploring Operation: 46-3=43, Resulting Numbers: [68, 43] Generated Node #3: [68, 43] from Operation: 46-3=43 Current State: 25:[68, 43], Operations: ['54+14=68', '46-3=43'] Exploring Operation: 68-43=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 47, 77, 74, 71 ]
49
[ "77+71=148", "148/74=2", "47+2=49" ]
Current State: 49:[47, 77, 74, 71], Operations: [] Exploring Operation: 77+71=148, Resulting Numbers: [47, 74, 148] Generated Node #2: [47, 74, 148] from Operation: 77+71=148 Current State: 49:[47, 74, 148], Operations: ['77+71=148'] Exploring Operation: 148/74=2, Resulting Numbers: [47, 2] Generated Node #3: [47, 2] from Operation: 148/74=2 Current State: 49:[47, 2], Operations: ['77+71=148', '148/74=2'] Exploring Operation: 47+2=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 35, 2, 1, 5 ]
85
[ "35-1=34", "34/2=17", "5*17=85" ]
Current State: 85:[35, 2, 1, 5], Operations: [] Exploring Operation: 35-1=34, Resulting Numbers: [2, 5, 34] Generated Node #2: [2, 5, 34] from Operation: 35-1=34 Current State: 85:[2, 5, 34], Operations: ['35-1=34'] Exploring Operation: 34/2=17, Resulting Numbers: [5, 17] Generated Node #3: [5, 17] from Operation: 34/2=17 Current State: 85:[5, 17], Operations: ['35-1=34', '34/2=17'] Exploring Operation: 5*17=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 82, 37, 64, 57 ]
76
[ "82-37=45", "64+57=121", "121-45=76" ]
Current State: 76:[82, 37, 64, 57], Operations: [] Exploring Operation: 82-37=45, Resulting Numbers: [64, 57, 45] Generated Node #2: [64, 57, 45] from Operation: 82-37=45 Current State: 76:[64, 57, 45], Operations: ['82-37=45'] Exploring Operation: 64+57=121, Resulting Numbers: [45, 121] Generated Node #3: [45, 121] from Operation: 64+57=121 Current State: 76:[45, 121], Operations: ['82-37=45', '64+57=121'] Exploring Operation: 121-45=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 4, 48, 42, 27 ]
37
[ "4+48=52", "42-27=15", "52-15=37" ]
Current State: 37:[4, 48, 42, 27], Operations: [] Exploring Operation: 4+48=52, Resulting Numbers: [42, 27, 52] Generated Node #2: [42, 27, 52] from Operation: 4+48=52 Current State: 37:[42, 27, 52], Operations: ['4+48=52'] Exploring Operation: 42-27=15, Resulting Numbers: [52, 15] Generated Node #3: [52, 15] from Operation: 42-27=15 Current State: 37:[52, 15], Operations: ['4+48=52', '42-27=15'] Exploring Operation: 52-15=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 32, 32, 62, 32 ]
61
[ "32*62=1984", "1984-32=1952", "1952/32=61" ]
Current State: 61:[32, 32, 62, 32], Operations: [] Exploring Operation: 32*62=1984, Resulting Numbers: [1984] 1984,61 equal: Goal Reached Exploring Operation: 1984-32=1952, Resulting Numbers: [1952] 1952,61 equal: Goal Reached Exploring Operation: 1952/32=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 15, 59, 2, 66 ]
91
[ "15-2=13", "66-59=7", "13*7=91" ]
Current State: 91:[15, 59, 2, 66], Operations: [] Exploring Operation: 15-2=13, Resulting Numbers: [59, 66, 13] Generated Node #2: [59, 66, 13] from Operation: 15-2=13 Current State: 91:[59, 66, 13], Operations: ['15-2=13'] Exploring Operation: 66-59=7, Resulting Numbers: [13, 7] Generated Node #3: [13, 7] from Operation: 66-59=7 Current State: 91:[13, 7], Operations: ['15-2=13', '66-59=7'] Exploring Operation: 13*7=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 43, 31, 55, 44 ]
42
[ "31+55=86", "86/43=2", "44-2=42" ]
Current State: 42:[43, 31, 55, 44], Operations: [] Exploring Operation: 31+55=86, Resulting Numbers: [43, 44, 86] Generated Node #2: [43, 44, 86] from Operation: 31+55=86 Current State: 42:[43, 44, 86], Operations: ['31+55=86'] Exploring Operation: 86/43=2, Resulting Numbers: [44, 2] Generated Node #3: [44, 2] from Operation: 86/43=2 Current State: 42:[44, 2], Operations: ['31+55=86', '86/43=2'] Exploring Operation: 44-2=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 85, 31, 21, 29 ]
43
[ "31-29=2", "21*2=42", "85-42=43" ]
Current State: 43:[85, 31, 21, 29], Operations: [] Exploring Operation: 31-29=2, Resulting Numbers: [85, 21, 2] Generated Node #2: [85, 21, 2] from Operation: 31-29=2 Current State: 43:[85, 21, 2], Operations: ['31-29=2'] Exploring Operation: 21*2=42, Resulting Numbers: [85, 42] Generated Node #3: [85, 42] from Operation: 21*2=42 Current State: 43:[85, 42], Operations: ['31-29=2', '21*2=42'] Exploring Operation: 85-42=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 43, 35, 4, 13 ]
95
[ "43+35=78", "4+13=17", "78+17=95" ]
Current State: 95:[43, 35, 4, 13], Operations: [] Exploring Operation: 43+35=78, Resulting Numbers: [4, 13, 78] Generated Node #2: [4, 13, 78] from Operation: 43+35=78 Current State: 95:[4, 13, 78], Operations: ['43+35=78'] Exploring Operation: 4+13=17, Resulting Numbers: [78, 17] Generated Node #3: [78, 17] from Operation: 4+13=17 Current State: 95:[78, 17], Operations: ['43+35=78', '4+13=17'] Exploring Operation: 78+17=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 77, 43, 16, 61 ]
79
[ "77-43=34", "61-16=45", "34+45=79" ]
Current State: 79:[77, 43, 16, 61], Operations: [] Exploring Operation: 77-43=34, Resulting Numbers: [16, 61, 34] Generated Node #2: [16, 61, 34] from Operation: 77-43=34 Current State: 79:[16, 61, 34], Operations: ['77-43=34'] Exploring Operation: 61-16=45, Resulting Numbers: [34, 45] Generated Node #3: [34, 45] from Operation: 61-16=45 Current State: 79:[34, 45], Operations: ['77-43=34', '61-16=45'] Exploring Operation: 34+45=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 63, 24, 36, 43 ]
85
[ "63*24=1512", "1512/36=42", "43+42=85" ]
Current State: 85:[63, 24, 36, 43], Operations: [] Exploring Operation: 63*24=1512, Resulting Numbers: [36, 43, 1512] Generated Node #2: [36, 43, 1512] from Operation: 63*24=1512 Current State: 85:[36, 43, 1512], Operations: ['63*24=1512'] Exploring Operation: 1512/36=42, Resulting Numbers: [43, 42] Generated Node #3: [43, 42] from Operation: 1512/36=42 Current State: 85:[43, 42], Operations: ['63*24=1512', '1512/36=42'] Exploring Operation: 43+42=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 53, 64, 77, 61 ]
27
[ "64-53=11", "77-61=16", "11+16=27" ]
Current State: 27:[53, 64, 77, 61], Operations: [] Exploring Operation: 64-53=11, Resulting Numbers: [77, 61, 11] Generated Node #2: [77, 61, 11] from Operation: 64-53=11 Current State: 27:[77, 61, 11], Operations: ['64-53=11'] Exploring Operation: 77-61=16, Resulting Numbers: [11, 16] Generated Node #3: [11, 16] from Operation: 77-61=16 Current State: 27:[11, 16], Operations: ['64-53=11', '77-61=16'] Exploring Operation: 11+16=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 83, 30, 15, 44 ]
24
[ "83-30=53", "44-15=29", "53-29=24" ]
Current State: 24:[83, 30, 15, 44], Operations: [] Exploring Operation: 83-30=53, Resulting Numbers: [15, 44, 53] Generated Node #2: [15, 44, 53] from Operation: 83-30=53 Current State: 24:[15, 44, 53], Operations: ['83-30=53'] Exploring Operation: 44-15=29, Resulting Numbers: [53, 29] Generated Node #3: [53, 29] from Operation: 44-15=29 Current State: 24:[53, 29], Operations: ['83-30=53', '44-15=29'] Exploring Operation: 53-29=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 7, 55, 58, 54 ]
50
[ "7+55=62", "58+54=112", "112-62=50" ]
Current State: 50:[7, 55, 58, 54], Operations: [] Exploring Operation: 7+55=62, Resulting Numbers: [58, 54, 62] Generated Node #2: [58, 54, 62] from Operation: 7+55=62 Current State: 50:[58, 54, 62], Operations: ['7+55=62'] Exploring Operation: 58+54=112, Resulting Numbers: [62, 112] Generated Node #3: [62, 112] from Operation: 58+54=112 Current State: 50:[62, 112], Operations: ['7+55=62', '58+54=112'] Exploring Operation: 112-62=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 9, 40, 90, 58 ]
92
[ "58-40=18", "18/9=2", "90+2=92" ]
Current State: 92:[9, 40, 90, 58], Operations: [] Exploring Operation: 58-40=18, Resulting Numbers: [9, 90, 18] Generated Node #2: [9, 90, 18] from Operation: 58-40=18 Current State: 92:[9, 90, 18], Operations: ['58-40=18'] Exploring Operation: 18/9=2, Resulting Numbers: [90, 2] Generated Node #3: [90, 2] from Operation: 18/9=2 Current State: 92:[90, 2], Operations: ['58-40=18', '18/9=2'] Exploring Operation: 90+2=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 34, 64, 60, 93 ]
65
[ "34+64=98", "93-60=33", "98-33=65" ]
Current State: 65:[34, 64, 60, 93], Operations: [] Exploring Operation: 34+64=98, Resulting Numbers: [60, 93, 98] Generated Node #2: [60, 93, 98] from Operation: 34+64=98 Current State: 65:[60, 93, 98], Operations: ['34+64=98'] Exploring Operation: 93-60=33, Resulting Numbers: [98, 33] Generated Node #3: [98, 33] from Operation: 93-60=33 Current State: 65:[98, 33], Operations: ['34+64=98', '93-60=33'] Exploring Operation: 98-33=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 49, 3, 17, 2 ]
12
[ "49-3=46", "17*2=34", "46-34=12" ]
Current State: 12:[49, 3, 17, 2], Operations: [] Exploring Operation: 49-3=46, Resulting Numbers: [17, 2, 46] Generated Node #2: [17, 2, 46] from Operation: 49-3=46 Current State: 12:[17, 2, 46], Operations: ['49-3=46'] Exploring Operation: 17*2=34, Resulting Numbers: [46, 34] Generated Node #3: [46, 34] from Operation: 17*2=34 Current State: 12:[46, 34], Operations: ['49-3=46', '17*2=34'] Exploring Operation: 46-34=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 2, 69, 6, 90 ]
33
[ "2*6=12", "90-69=21", "12+21=33" ]
Current State: 33:[2, 69, 6, 90], Operations: [] Exploring Operation: 2*6=12, Resulting Numbers: [69, 90, 12] Generated Node #2: [69, 90, 12] from Operation: 2*6=12 Current State: 33:[69, 90, 12], Operations: ['2*6=12'] Exploring Operation: 90-69=21, Resulting Numbers: [12, 21] Generated Node #3: [12, 21] from Operation: 90-69=21 Current State: 33:[12, 21], Operations: ['2*6=12', '90-69=21'] Exploring Operation: 12+21=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 4, 41, 87, 21 ]
38
[ "4*21=84", "87-41=46", "84-46=38" ]
Current State: 38:[4, 41, 87, 21], Operations: [] Exploring Operation: 4*21=84, Resulting Numbers: [41, 87, 84] Generated Node #2: [41, 87, 84] from Operation: 4*21=84 Current State: 38:[41, 87, 84], Operations: ['4*21=84'] Exploring Operation: 87-41=46, Resulting Numbers: [84, 46] Generated Node #3: [84, 46] from Operation: 87-41=46 Current State: 38:[84, 46], Operations: ['4*21=84', '87-41=46'] Exploring Operation: 84-46=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 57, 33, 43, 24 ]
71
[ "57+33=90", "43-24=19", "90-19=71" ]
Current State: 71:[57, 33, 43, 24], Operations: [] Exploring Operation: 57+33=90, Resulting Numbers: [43, 24, 90] Generated Node #2: [43, 24, 90] from Operation: 57+33=90 Current State: 71:[43, 24, 90], Operations: ['57+33=90'] Exploring Operation: 43-24=19, Resulting Numbers: [90, 19] Generated Node #3: [90, 19] from Operation: 43-24=19 Current State: 71:[90, 19], Operations: ['57+33=90', '43-24=19'] Exploring Operation: 90-19=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 74, 19, 97, 91 ]
87
[ "74+19=93", "97-91=6", "93-6=87" ]
Current State: 87:[74, 19, 97, 91], Operations: [] Exploring Operation: 74+19=93, Resulting Numbers: [97, 91, 93] Generated Node #2: [97, 91, 93] from Operation: 74+19=93 Current State: 87:[97, 91, 93], Operations: ['74+19=93'] Exploring Operation: 97-91=6, Resulting Numbers: [93, 6] Generated Node #3: [93, 6] from Operation: 97-91=6 Current State: 87:[93, 6], Operations: ['74+19=93', '97-91=6'] Exploring Operation: 93-6=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 15, 96, 30, 32 ]
19
[ "96-15=81", "30+32=62", "81-62=19" ]
Current State: 19:[15, 96, 30, 32], Operations: [] Exploring Operation: 96-15=81, Resulting Numbers: [30, 32, 81] Generated Node #2: [30, 32, 81] from Operation: 96-15=81 Current State: 19:[30, 32, 81], Operations: ['96-15=81'] Exploring Operation: 30+32=62, Resulting Numbers: [81, 62] Generated Node #3: [81, 62] from Operation: 30+32=62 Current State: 19:[81, 62], Operations: ['96-15=81', '30+32=62'] Exploring Operation: 81-62=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 7, 56, 84, 21 ]
23
[ "84/7=12", "56-21=35", "35-12=23" ]
Current State: 23:[7, 56, 84, 21], Operations: [] Exploring Operation: 84/7=12, Resulting Numbers: [56, 21, 12] Generated Node #2: [56, 21, 12] from Operation: 84/7=12 Current State: 23:[56, 21, 12], Operations: ['84/7=12'] Exploring Operation: 56-21=35, Resulting Numbers: [12, 35] Generated Node #3: [12, 35] from Operation: 56-21=35 Current State: 23:[12, 35], Operations: ['84/7=12', '56-21=35'] Exploring Operation: 35-12=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 88, 8, 85, 40 ]
56
[ "88/8=11", "85-40=45", "11+45=56" ]
Current State: 56:[88, 8, 85, 40], Operations: [] Exploring Operation: 88/8=11, Resulting Numbers: [85, 40, 11] Generated Node #2: [85, 40, 11] from Operation: 88/8=11 Current State: 56:[85, 40, 11], Operations: ['88/8=11'] Exploring Operation: 85-40=45, Resulting Numbers: [11, 45] Generated Node #3: [11, 45] from Operation: 85-40=45 Current State: 56:[11, 45], Operations: ['88/8=11', '85-40=45'] Exploring Operation: 11+45=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 51, 84, 90, 74 ]
17
[ "84-51=33", "90-74=16", "33-16=17" ]
Current State: 17:[51, 84, 90, 74], Operations: [] Exploring Operation: 84-51=33, Resulting Numbers: [90, 74, 33] Generated Node #2: [90, 74, 33] from Operation: 84-51=33 Current State: 17:[90, 74, 33], Operations: ['84-51=33'] Exploring Operation: 90-74=16, Resulting Numbers: [33, 16] Generated Node #3: [33, 16] from Operation: 90-74=16 Current State: 17:[33, 16], Operations: ['84-51=33', '90-74=16'] Exploring Operation: 33-16=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 9, 30, 36, 5 ]
31
[ "36/9=4", "30+5=35", "35-4=31" ]
Current State: 31:[9, 30, 36, 5], Operations: [] Exploring Operation: 36/9=4, Resulting Numbers: [30, 5, 4] Generated Node #2: [30, 5, 4] from Operation: 36/9=4 Current State: 31:[30, 5, 4], Operations: ['36/9=4'] Exploring Operation: 30+5=35, Resulting Numbers: [4, 35] Generated Node #3: [4, 35] from Operation: 30+5=35 Current State: 31:[4, 35], Operations: ['36/9=4', '30+5=35'] Exploring Operation: 35-4=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 6, 77, 24, 4 ]
65
[ "77-6=71", "24/4=6", "71-6=65" ]
Current State: 65:[6, 77, 24, 4], Operations: [] Exploring Operation: 77-6=71, Resulting Numbers: [24, 4, 71] Generated Node #2: [24, 4, 71] from Operation: 77-6=71 Current State: 65:[24, 4, 71], Operations: ['77-6=71'] Exploring Operation: 24/4=6, Resulting Numbers: [71, 6] Generated Node #3: [71, 6] from Operation: 24/4=6 Current State: 65:[71, 6], Operations: ['77-6=71', '24/4=6'] Exploring Operation: 71-6=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 22, 33, 88, 43 ]
89
[ "88/22=4", "33*4=132", "132-43=89" ]
Current State: 89:[22, 33, 88, 43], Operations: [] Exploring Operation: 88/22=4, Resulting Numbers: [33, 43, 4] Generated Node #2: [33, 43, 4] from Operation: 88/22=4 Current State: 89:[33, 43, 4], Operations: ['88/22=4'] Exploring Operation: 33*4=132, Resulting Numbers: [43, 132] Generated Node #3: [43, 132] from Operation: 33*4=132 Current State: 89:[43, 132], Operations: ['88/22=4', '33*4=132'] Exploring Operation: 132-43=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 87, 68, 78, 8 ]
74
[ "87-68=19", "8*19=152", "152-78=74" ]
Current State: 74:[87, 68, 78, 8], Operations: [] Exploring Operation: 87-68=19, Resulting Numbers: [78, 8, 19] Generated Node #2: [78, 8, 19] from Operation: 87-68=19 Current State: 74:[78, 8, 19], Operations: ['87-68=19'] Exploring Operation: 8*19=152, Resulting Numbers: [78, 152] Generated Node #3: [78, 152] from Operation: 8*19=152 Current State: 74:[78, 152], Operations: ['87-68=19', '8*19=152'] Exploring Operation: 152-78=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 28, 97, 30, 1 ]
39
[ "97-28=69", "30*1=30", "69-30=39" ]
Current State: 39:[28, 97, 30, 1], Operations: [] Exploring Operation: 97-28=69, Resulting Numbers: [30, 1, 69] Generated Node #2: [30, 1, 69] from Operation: 97-28=69 Current State: 39:[30, 1, 69], Operations: ['97-28=69'] Exploring Operation: 30*1=30, Resulting Numbers: [69, 30] Generated Node #3: [69, 30] from Operation: 30*1=30 Current State: 39:[69, 30], Operations: ['97-28=69', '30*1=30'] Exploring Operation: 69-30=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 32, 98, 64, 65 ]
62
[ "32+98=130", "130/65=2", "64-2=62" ]
Current State: 62:[32, 98, 64, 65], Operations: [] Exploring Operation: 32+98=130, Resulting Numbers: [64, 65, 130] Generated Node #2: [64, 65, 130] from Operation: 32+98=130 Current State: 62:[64, 65, 130], Operations: ['32+98=130'] Exploring Operation: 130/65=2, Resulting Numbers: [64, 2] Generated Node #3: [64, 2] from Operation: 130/65=2 Current State: 62:[64, 2], Operations: ['32+98=130', '130/65=2'] Exploring Operation: 64-2=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 3, 5, 16, 74 ]
53
[ "5-3=2", "74/2=37", "16+37=53" ]
Current State: 53:[3, 5, 16, 74], Operations: [] Exploring Operation: 5-3=2, Resulting Numbers: [16, 74, 2] Generated Node #2: [16, 74, 2] from Operation: 5-3=2 Current State: 53:[16, 74, 2], Operations: ['5-3=2'] Exploring Operation: 74/2=37, Resulting Numbers: [16, 37] Generated Node #3: [16, 37] from Operation: 74/2=37 Current State: 53:[16, 37], Operations: ['5-3=2', '74/2=37'] Exploring Operation: 16+37=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 6, 68, 81, 13 ]
20
[ "6+68=74", "81+13=94", "94-74=20" ]
Current State: 20:[6, 68, 81, 13], Operations: [] Exploring Operation: 6+68=74, Resulting Numbers: [81, 13, 74] Generated Node #2: [81, 13, 74] from Operation: 6+68=74 Current State: 20:[81, 13, 74], Operations: ['6+68=74'] Exploring Operation: 81+13=94, Resulting Numbers: [74, 94] Generated Node #3: [74, 94] from Operation: 81+13=94 Current State: 20:[74, 94], Operations: ['6+68=74', '81+13=94'] Exploring Operation: 94-74=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 60, 66, 33, 46 ]
32
[ "66/33=2", "46*2=92", "92-60=32" ]
Current State: 32:[60, 66, 33, 46], Operations: [] Exploring Operation: 66/33=2, Resulting Numbers: [60, 46, 2] Generated Node #2: [60, 46, 2] from Operation: 66/33=2 Current State: 32:[60, 46, 2], Operations: ['66/33=2'] Exploring Operation: 46*2=92, Resulting Numbers: [60, 92] Generated Node #3: [60, 92] from Operation: 46*2=92 Current State: 32:[60, 92], Operations: ['66/33=2', '46*2=92'] Exploring Operation: 92-60=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 56, 80, 3, 22 ]
22
[ "56-22=34", "3*34=102", "102-80=22" ]
Current State: 22:[56, 80, 3, 22], Operations: [] Exploring Operation: 56-22=34, Resulting Numbers: [80, 3, 34] Generated Node #2: [80, 3, 34] from Operation: 56-22=34 Current State: 22:[80, 3, 34], Operations: ['56-22=34'] Exploring Operation: 3*34=102, Resulting Numbers: [80, 102] Generated Node #3: [80, 102] from Operation: 3*34=102 Current State: 22:[80, 102], Operations: ['56-22=34', '3*34=102'] Exploring Operation: 102-80=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 24, 41, 64, 8 ]
46
[ "64-24=40", "40/8=5", "41+5=46" ]
Current State: 46:[24, 41, 64, 8], Operations: [] Exploring Operation: 64-24=40, Resulting Numbers: [41, 8, 40] Generated Node #2: [41, 8, 40] from Operation: 64-24=40 Current State: 46:[41, 8, 40], Operations: ['64-24=40'] Exploring Operation: 40/8=5, Resulting Numbers: [41, 5] Generated Node #3: [41, 5] from Operation: 40/8=5 Current State: 46:[41, 5], Operations: ['64-24=40', '40/8=5'] Exploring Operation: 41+5=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 24, 40, 9, 34 ]
27
[ "40-24=16", "9+34=43", "43-16=27" ]
Current State: 27:[24, 40, 9, 34], Operations: [] Exploring Operation: 40-24=16, Resulting Numbers: [9, 34, 16] Generated Node #2: [9, 34, 16] from Operation: 40-24=16 Current State: 27:[9, 34, 16], Operations: ['40-24=16'] Exploring Operation: 9+34=43, Resulting Numbers: [16, 43] Generated Node #3: [16, 43] from Operation: 9+34=43 Current State: 27:[16, 43], Operations: ['40-24=16', '9+34=43'] Exploring Operation: 43-16=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 82, 95, 60, 82 ]
36
[ "82/82=1", "95-60=35", "1+35=36" ]
Current State: 36:[82, 95, 60, 82], Operations: [] Exploring Operation: 82/82=1, Resulting Numbers: [95, 60, 1] Generated Node #2: [95, 60, 1] from Operation: 82/82=1 Current State: 36:[95, 60, 1], Operations: ['82/82=1'] Exploring Operation: 95-60=35, Resulting Numbers: [1, 35] Generated Node #3: [1, 35] from Operation: 95-60=35 Current State: 36:[1, 35], Operations: ['82/82=1', '95-60=35'] Exploring Operation: 1+35=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 10, 85, 70, 53 ]
78
[ "10+85=95", "70-53=17", "95-17=78" ]
Current State: 78:[10, 85, 70, 53], Operations: [] Exploring Operation: 10+85=95, Resulting Numbers: [70, 53, 95] Generated Node #2: [70, 53, 95] from Operation: 10+85=95 Current State: 78:[70, 53, 95], Operations: ['10+85=95'] Exploring Operation: 70-53=17, Resulting Numbers: [95, 17] Generated Node #3: [95, 17] from Operation: 70-53=17 Current State: 78:[95, 17], Operations: ['10+85=95', '70-53=17'] Exploring Operation: 95-17=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 6, 20, 6, 30 ]
50
[ "6+20=26", "30-6=24", "26+24=50" ]
Current State: 50:[6, 20, 6, 30], Operations: [] Exploring Operation: 6+20=26, Resulting Numbers: [30, 26] Generated Node #2: [30, 26] from Operation: 6+20=26 Current State: 50:[30, 26], Operations: ['6+20=26'] Exploring Operation: 30-6=24, Resulting Numbers: [26, 24] Generated Node #3: [26, 24] from Operation: 30-6=24 Current State: 50:[26, 24], Operations: ['6+20=26', '30-6=24'] Exploring Operation: 26+24=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 34, 49, 68, 20 ]
63
[ "49-34=15", "68-20=48", "15+48=63" ]
Current State: 63:[34, 49, 68, 20], Operations: [] Exploring Operation: 49-34=15, Resulting Numbers: [68, 20, 15] Generated Node #2: [68, 20, 15] from Operation: 49-34=15 Current State: 63:[68, 20, 15], Operations: ['49-34=15'] Exploring Operation: 68-20=48, Resulting Numbers: [15, 48] Generated Node #3: [15, 48] from Operation: 68-20=48 Current State: 63:[15, 48], Operations: ['49-34=15', '68-20=48'] Exploring Operation: 15+48=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 47, 52, 75, 43 ]
19
[ "47+52=99", "75+43=118", "118-99=19" ]
Current State: 19:[47, 52, 75, 43], Operations: [] Exploring Operation: 47+52=99, Resulting Numbers: [75, 43, 99] Generated Node #2: [75, 43, 99] from Operation: 47+52=99 Current State: 19:[75, 43, 99], Operations: ['47+52=99'] Exploring Operation: 75+43=118, Resulting Numbers: [99, 118] Generated Node #3: [99, 118] from Operation: 75+43=118 Current State: 19:[99, 118], Operations: ['47+52=99', '75+43=118'] Exploring Operation: 118-99=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 38, 64, 10, 85 ]
27
[ "38+64=102", "85-10=75", "102-75=27" ]
Current State: 27:[38, 64, 10, 85], Operations: [] Exploring Operation: 38+64=102, Resulting Numbers: [10, 85, 102] Generated Node #2: [10, 85, 102] from Operation: 38+64=102 Current State: 27:[10, 85, 102], Operations: ['38+64=102'] Exploring Operation: 85-10=75, Resulting Numbers: [102, 75] Generated Node #3: [102, 75] from Operation: 85-10=75 Current State: 27:[102, 75], Operations: ['38+64=102', '85-10=75'] Exploring Operation: 102-75=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 58, 54, 4, 57 ]
51
[ "58+54=112", "4+57=61", "112-61=51" ]
Current State: 51:[58, 54, 4, 57], Operations: [] Exploring Operation: 58+54=112, Resulting Numbers: [4, 57, 112] Generated Node #2: [4, 57, 112] from Operation: 58+54=112 Current State: 51:[4, 57, 112], Operations: ['58+54=112'] Exploring Operation: 4+57=61, Resulting Numbers: [112, 61] Generated Node #3: [112, 61] from Operation: 4+57=61 Current State: 51:[112, 61], Operations: ['58+54=112', '4+57=61'] Exploring Operation: 112-61=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 14, 21, 83, 46 ]
14
[ "83-14=69", "21*46=966", "966/69=14" ]
Current State: 14:[14, 21, 83, 46], Operations: [] Exploring Operation: 83-14=69, Resulting Numbers: [21, 46, 69] Generated Node #2: [21, 46, 69] from Operation: 83-14=69 Current State: 14:[21, 46, 69], Operations: ['83-14=69'] Exploring Operation: 21*46=966, Resulting Numbers: [69, 966] Generated Node #3: [69, 966] from Operation: 21*46=966 Current State: 14:[69, 966], Operations: ['83-14=69', '21*46=966'] Exploring Operation: 966/69=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 51, 10, 49, 67 ]
72
[ "51-49=2", "10/2=5", "67+5=72" ]
Current State: 72:[51, 10, 49, 67], Operations: [] Exploring Operation: 51-49=2, Resulting Numbers: [10, 67, 2] Generated Node #2: [10, 67, 2] from Operation: 51-49=2 Current State: 72:[10, 67, 2], Operations: ['51-49=2'] Exploring Operation: 10/2=5, Resulting Numbers: [67, 5] Generated Node #3: [67, 5] from Operation: 10/2=5 Current State: 72:[67, 5], Operations: ['51-49=2', '10/2=5'] Exploring Operation: 67+5=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 8, 54, 61, 20 ]
45
[ "8*20=160", "54+61=115", "160-115=45" ]
Current State: 45:[8, 54, 61, 20], Operations: [] Exploring Operation: 8*20=160, Resulting Numbers: [54, 61, 160] Generated Node #2: [54, 61, 160] from Operation: 8*20=160 Current State: 45:[54, 61, 160], Operations: ['8*20=160'] Exploring Operation: 54+61=115, Resulting Numbers: [160, 115] Generated Node #3: [160, 115] from Operation: 54+61=115 Current State: 45:[160, 115], Operations: ['8*20=160', '54+61=115'] Exploring Operation: 160-115=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 59, 1, 4, 10 ]
61
[ "1+4=5", "10/5=2", "59+2=61" ]
Current State: 61:[59, 1, 4, 10], Operations: [] Exploring Operation: 1+4=5, Resulting Numbers: [59, 10, 5] Generated Node #2: [59, 10, 5] from Operation: 1+4=5 Current State: 61:[59, 10, 5], Operations: ['1+4=5'] Exploring Operation: 10/5=2, Resulting Numbers: [59, 2] Generated Node #3: [59, 2] from Operation: 10/5=2 Current State: 61:[59, 2], Operations: ['1+4=5', '10/5=2'] Exploring Operation: 59+2=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 97, 69, 91, 1 ]
74
[ "97+69=166", "91+1=92", "166-92=74" ]
Current State: 74:[97, 69, 91, 1], Operations: [] Exploring Operation: 97+69=166, Resulting Numbers: [91, 1, 166] Generated Node #2: [91, 1, 166] from Operation: 97+69=166 Current State: 74:[91, 1, 166], Operations: ['97+69=166'] Exploring Operation: 91+1=92, Resulting Numbers: [166, 92] Generated Node #3: [166, 92] from Operation: 91+1=92 Current State: 74:[166, 92], Operations: ['97+69=166', '91+1=92'] Exploring Operation: 166-92=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 79, 92, 31, 29 ]
15
[ "92-79=13", "31-29=2", "13+2=15" ]
Current State: 15:[79, 92, 31, 29], Operations: [] Exploring Operation: 92-79=13, Resulting Numbers: [31, 29, 13] Generated Node #2: [31, 29, 13] from Operation: 92-79=13 Current State: 15:[31, 29, 13], Operations: ['92-79=13'] Exploring Operation: 31-29=2, Resulting Numbers: [13, 2] Generated Node #3: [13, 2] from Operation: 31-29=2 Current State: 15:[13, 2], Operations: ['92-79=13', '31-29=2'] Exploring Operation: 13+2=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 9, 30, 69, 3 ]
22
[ "69-30=39", "39/3=13", "9+13=22" ]
Current State: 22:[9, 30, 69, 3], Operations: [] Exploring Operation: 69-30=39, Resulting Numbers: [9, 3, 39] Generated Node #2: [9, 3, 39] from Operation: 69-30=39 Current State: 22:[9, 3, 39], Operations: ['69-30=39'] Exploring Operation: 39/3=13, Resulting Numbers: [9, 13] Generated Node #3: [9, 13] from Operation: 39/3=13 Current State: 22:[9, 13], Operations: ['69-30=39', '39/3=13'] Exploring Operation: 9+13=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 30, 17, 85, 24 ]
59
[ "30+24=54", "85/17=5", "54+5=59" ]
Current State: 59:[30, 17, 85, 24], Operations: [] Exploring Operation: 30+24=54, Resulting Numbers: [17, 85, 54] Generated Node #2: [17, 85, 54] from Operation: 30+24=54 Current State: 59:[17, 85, 54], Operations: ['30+24=54'] Exploring Operation: 85/17=5, Resulting Numbers: [54, 5] Generated Node #3: [54, 5] from Operation: 85/17=5 Current State: 59:[54, 5], Operations: ['30+24=54', '85/17=5'] Exploring Operation: 54+5=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 15, 83, 61, 75 ]
83
[ "15+61=76", "76-75=1", "83*1=83" ]
Current State: 83:[15, 83, 61, 75], Operations: [] Exploring Operation: 15+61=76, Resulting Numbers: [83, 75, 76] Generated Node #2: [83, 75, 76] from Operation: 15+61=76 Current State: 83:[83, 75, 76], Operations: ['15+61=76'] Exploring Operation: 76-75=1, Resulting Numbers: [83, 1] Generated Node #3: [83, 1] from Operation: 76-75=1 Current State: 83:[83, 1], Operations: ['15+61=76', '76-75=1'] Exploring Operation: 83*1=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 21, 18, 43, 14 ]
54
[ "21-18=3", "43+14=57", "57-3=54" ]
Current State: 54:[21, 18, 43, 14], Operations: [] Exploring Operation: 21-18=3, Resulting Numbers: [43, 14, 3] Generated Node #2: [43, 14, 3] from Operation: 21-18=3 Current State: 54:[43, 14, 3], Operations: ['21-18=3'] Exploring Operation: 43+14=57, Resulting Numbers: [3, 57] Generated Node #3: [3, 57] from Operation: 43+14=57 Current State: 54:[3, 57], Operations: ['21-18=3', '43+14=57'] Exploring Operation: 57-3=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 68, 95, 3, 4 ]
97
[ "68-4=64", "3*64=192", "192-95=97" ]
Current State: 97:[68, 95, 3, 4], Operations: [] Exploring Operation: 68-4=64, Resulting Numbers: [95, 3, 64] Generated Node #2: [95, 3, 64] from Operation: 68-4=64 Current State: 97:[95, 3, 64], Operations: ['68-4=64'] Exploring Operation: 3*64=192, Resulting Numbers: [95, 192] Generated Node #3: [95, 192] from Operation: 3*64=192 Current State: 97:[95, 192], Operations: ['68-4=64', '3*64=192'] Exploring Operation: 192-95=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 43, 2, 78, 12 ]
97
[ "43+78=121", "2*12=24", "121-24=97" ]
Current State: 97:[43, 2, 78, 12], Operations: [] Exploring Operation: 43+78=121, Resulting Numbers: [2, 12, 121] Generated Node #2: [2, 12, 121] from Operation: 43+78=121 Current State: 97:[2, 12, 121], Operations: ['43+78=121'] Exploring Operation: 2*12=24, Resulting Numbers: [121, 24] Generated Node #3: [121, 24] from Operation: 2*12=24 Current State: 97:[121, 24], Operations: ['43+78=121', '2*12=24'] Exploring Operation: 121-24=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 4, 9, 16, 31 ]
49
[ "9-4=5", "16*5=80", "80-31=49" ]
Current State: 49:[4, 9, 16, 31], Operations: [] Exploring Operation: 9-4=5, Resulting Numbers: [16, 31, 5] Generated Node #2: [16, 31, 5] from Operation: 9-4=5 Current State: 49:[16, 31, 5], Operations: ['9-4=5'] Exploring Operation: 16*5=80, Resulting Numbers: [31, 80] Generated Node #3: [31, 80] from Operation: 16*5=80 Current State: 49:[31, 80], Operations: ['9-4=5', '16*5=80'] Exploring Operation: 80-31=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 2, 25, 5, 61 ]
38
[ "25+61=86", "86/2=43", "43-5=38" ]
Current State: 38:[2, 25, 5, 61], Operations: [] Exploring Operation: 25+61=86, Resulting Numbers: [2, 5, 86] Generated Node #2: [2, 5, 86] from Operation: 25+61=86 Current State: 38:[2, 5, 86], Operations: ['25+61=86'] Exploring Operation: 86/2=43, Resulting Numbers: [5, 43] Generated Node #3: [5, 43] from Operation: 86/2=43 Current State: 38:[5, 43], Operations: ['25+61=86', '86/2=43'] Exploring Operation: 43-5=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 76, 11, 5, 72 ]
83
[ "5+72=77", "77/11=7", "76+7=83" ]
Current State: 83:[76, 11, 5, 72], Operations: [] Exploring Operation: 5+72=77, Resulting Numbers: [76, 11, 77] Generated Node #2: [76, 11, 77] from Operation: 5+72=77 Current State: 83:[76, 11, 77], Operations: ['5+72=77'] Exploring Operation: 77/11=7, Resulting Numbers: [76, 7] Generated Node #3: [76, 7] from Operation: 77/11=7 Current State: 83:[76, 7], Operations: ['5+72=77', '77/11=7'] Exploring Operation: 76+7=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4