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
[ 10, 2, 38, 70 ]
68
[ "70-10=60", "60/2=30", "38+30=68" ]
Current State: 68:[10, 2, 38, 70], Operations: [] Exploring Operation: 70-10=60, Resulting Numbers: [2, 38, 60] Generated Node #2: [2, 38, 60] from Operation: 70-10=60 Current State: 68:[2, 38, 60], Operations: ['70-10=60'] Exploring Operation: 60/2=30, Resulting Numbers: [38, 30] Generated Node #3: [38, 30] from Operation: 60/2=30 Current State: 68:[38, 30], Operations: ['70-10=60', '60/2=30'] Exploring Operation: 38+30=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 48, 21, 73, 36 ]
77
[ "48+36=84", "84/21=4", "73+4=77" ]
Current State: 77:[48, 21, 73, 36], Operations: [] Exploring Operation: 48+36=84, Resulting Numbers: [21, 73, 84] Generated Node #2: [21, 73, 84] from Operation: 48+36=84 Current State: 77:[21, 73, 84], Operations: ['48+36=84'] Exploring Operation: 84/21=4, Resulting Numbers: [73, 4] Generated Node #3: [73, 4] from Operation: 84/21=4 Current State: 77:[73, 4], Operations: ['48+36=84', '84/21=4'] Exploring Operation: 73+4=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 30, 30, 45, 68 ]
46
[ "30*68=2040", "30+2040=2070", "2070/45=46" ]
Current State: 46:[30, 30, 45, 68], Operations: [] Exploring Operation: 30*68=2040, Resulting Numbers: [45, 2040] Generated Node #2: [45, 2040] from Operation: 30*68=2040 Current State: 46:[45, 2040], Operations: ['30*68=2040'] Exploring Operation: 30+2040=2070, Resulting Numbers: [45, 2070] Generated Node #3: [45, 2070] from Operation: 30+2040=2070 Current State: 46:[45, 2070], Operations: ['30*68=2040', '30+2040=2070'] Exploring Operation: 2070/45=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 28, 76, 1, 29 ]
78
[ "76-28=48", "1+29=30", "48+30=78" ]
Current State: 78:[28, 76, 1, 29], Operations: [] Exploring Operation: 76-28=48, Resulting Numbers: [1, 29, 48] Generated Node #2: [1, 29, 48] from Operation: 76-28=48 Current State: 78:[1, 29, 48], Operations: ['76-28=48'] Exploring Operation: 1+29=30, Resulting Numbers: [48, 30] Generated Node #3: [48, 30] from Operation: 1+29=30 Current State: 78:[48, 30], Operations: ['76-28=48', '1+29=30'] Exploring Operation: 48+30=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 36, 10, 96, 50 ]
56
[ "96-36=60", "60/10=6", "50+6=56" ]
Current State: 56:[36, 10, 96, 50], Operations: [] Exploring Operation: 96-36=60, Resulting Numbers: [10, 50, 60] Generated Node #2: [10, 50, 60] from Operation: 96-36=60 Current State: 56:[10, 50, 60], Operations: ['96-36=60'] Exploring Operation: 60/10=6, Resulting Numbers: [50, 6] Generated Node #3: [50, 6] from Operation: 60/10=6 Current State: 56:[50, 6], Operations: ['96-36=60', '60/10=6'] Exploring Operation: 50+6=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 42, 69, 86, 2 ]
23
[ "42+69=111", "86+2=88", "111-88=23" ]
Current State: 23:[42, 69, 86, 2], Operations: [] Exploring Operation: 42+69=111, Resulting Numbers: [86, 2, 111] Generated Node #2: [86, 2, 111] from Operation: 42+69=111 Current State: 23:[86, 2, 111], Operations: ['42+69=111'] Exploring Operation: 86+2=88, Resulting Numbers: [111, 88] Generated Node #3: [111, 88] from Operation: 86+2=88 Current State: 23:[111, 88], Operations: ['42+69=111', '86+2=88'] Exploring Operation: 111-88=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 49, 14, 91, 77 ]
50
[ "91-14=77", "77/77=1", "49+1=50" ]
Current State: 50:[49, 14, 91, 77], Operations: [] Exploring Operation: 91-14=77, Resulting Numbers: [49, 77, 77] Generated Node #2: [49, 77, 77] from Operation: 91-14=77 Current State: 50:[49, 77, 77], Operations: ['91-14=77'] Exploring Operation: 77/77=1, Resulting Numbers: [49, 1] Generated Node #3: [49, 1] from Operation: 77/77=1 Current State: 50:[49, 1], Operations: ['91-14=77', '77/77=1'] Exploring Operation: 49+1=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 1, 52, 19, 3 ]
85
[ "3-1=2", "52*2=104", "104-19=85" ]
Current State: 85:[1, 52, 19, 3], Operations: [] Exploring Operation: 3-1=2, Resulting Numbers: [52, 19, 2] Generated Node #2: [52, 19, 2] from Operation: 3-1=2 Current State: 85:[52, 19, 2], Operations: ['3-1=2'] Exploring Operation: 52*2=104, Resulting Numbers: [19, 104] Generated Node #3: [19, 104] from Operation: 52*2=104 Current State: 85:[19, 104], Operations: ['3-1=2', '52*2=104'] Exploring Operation: 104-19=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 88, 29, 40, 3 ]
79
[ "88+29=117", "117/3=39", "40+39=79" ]
Current State: 79:[88, 29, 40, 3], Operations: [] Exploring Operation: 88+29=117, Resulting Numbers: [40, 3, 117] Generated Node #2: [40, 3, 117] from Operation: 88+29=117 Current State: 79:[40, 3, 117], Operations: ['88+29=117'] Exploring Operation: 117/3=39, Resulting Numbers: [40, 39] Generated Node #3: [40, 39] from Operation: 117/3=39 Current State: 79:[40, 39], Operations: ['88+29=117', '117/3=39'] Exploring Operation: 40+39=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 82, 13, 55, 68 ]
54
[ "82-13=69", "55+68=123", "123-69=54" ]
Current State: 54:[82, 13, 55, 68], Operations: [] Exploring Operation: 82-13=69, Resulting Numbers: [55, 68, 69] Generated Node #2: [55, 68, 69] from Operation: 82-13=69 Current State: 54:[55, 68, 69], Operations: ['82-13=69'] Exploring Operation: 55+68=123, Resulting Numbers: [69, 123] Generated Node #3: [69, 123] from Operation: 55+68=123 Current State: 54:[69, 123], Operations: ['82-13=69', '55+68=123'] Exploring Operation: 123-69=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 5, 60, 75, 96 ]
86
[ "5+60=65", "96-75=21", "65+21=86" ]
Current State: 86:[5, 60, 75, 96], Operations: [] Exploring Operation: 5+60=65, Resulting Numbers: [75, 96, 65] Generated Node #2: [75, 96, 65] from Operation: 5+60=65 Current State: 86:[75, 96, 65], Operations: ['5+60=65'] Exploring Operation: 96-75=21, Resulting Numbers: [65, 21] Generated Node #3: [65, 21] from Operation: 96-75=21 Current State: 86:[65, 21], Operations: ['5+60=65', '96-75=21'] Exploring Operation: 65+21=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 96, 90, 44, 45 ]
92
[ "96*45=4320", "4320/90=48", "44+48=92" ]
Current State: 92:[96, 90, 44, 45], Operations: [] Exploring Operation: 96*45=4320, Resulting Numbers: [90, 44, 4320] Generated Node #2: [90, 44, 4320] from Operation: 96*45=4320 Current State: 92:[90, 44, 4320], Operations: ['96*45=4320'] Exploring Operation: 4320/90=48, Resulting Numbers: [44, 48] Generated Node #3: [44, 48] from Operation: 4320/90=48 Current State: 92:[44, 48], Operations: ['96*45=4320', '4320/90=48'] Exploring Operation: 44+48=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 4, 39, 67, 76 ]
47
[ "76/4=19", "67-39=28", "19+28=47" ]
Current State: 47:[4, 39, 67, 76], Operations: [] Exploring Operation: 76/4=19, Resulting Numbers: [39, 67, 19] Generated Node #2: [39, 67, 19] from Operation: 76/4=19 Current State: 47:[39, 67, 19], Operations: ['76/4=19'] Exploring Operation: 67-39=28, Resulting Numbers: [19, 28] Generated Node #3: [19, 28] from Operation: 67-39=28 Current State: 47:[19, 28], Operations: ['76/4=19', '67-39=28'] Exploring Operation: 19+28=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 19, 51, 46, 14 ]
13
[ "46*14=644", "19+644=663", "663/51=13" ]
Current State: 13:[19, 51, 46, 14], Operations: [] Exploring Operation: 46*14=644, Resulting Numbers: [19, 51, 644] Generated Node #2: [19, 51, 644] from Operation: 46*14=644 Current State: 13:[19, 51, 644], Operations: ['46*14=644'] Exploring Operation: 19+644=663, Resulting Numbers: [51, 663] Generated Node #3: [51, 663] from Operation: 19+644=663 Current State: 13:[51, 663], Operations: ['46*14=644', '19+644=663'] Exploring Operation: 663/51=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 2, 68, 3, 40 ]
17
[ "68-40=28", "28/2=14", "3+14=17" ]
Current State: 17:[2, 68, 3, 40], Operations: [] Exploring Operation: 68-40=28, Resulting Numbers: [2, 3, 28] Generated Node #2: [2, 3, 28] from Operation: 68-40=28 Current State: 17:[2, 3, 28], Operations: ['68-40=28'] Exploring Operation: 28/2=14, Resulting Numbers: [3, 14] Generated Node #3: [3, 14] from Operation: 28/2=14 Current State: 17:[3, 14], Operations: ['68-40=28', '28/2=14'] Exploring Operation: 3+14=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 65, 28, 51, 14 ]
79
[ "65*28=1820", "1820/14=130", "130-51=79" ]
Current State: 79:[65, 28, 51, 14], Operations: [] Exploring Operation: 65*28=1820, Resulting Numbers: [51, 14, 1820] Generated Node #2: [51, 14, 1820] from Operation: 65*28=1820 Current State: 79:[51, 14, 1820], Operations: ['65*28=1820'] Exploring Operation: 1820/14=130, Resulting Numbers: [51, 130] Generated Node #3: [51, 130] from Operation: 1820/14=130 Current State: 79:[51, 130], Operations: ['65*28=1820', '1820/14=130'] Exploring Operation: 130-51=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 31, 30, 39, 63 ]
42
[ "30+63=93", "93/31=3", "39+3=42" ]
Current State: 42:[31, 30, 39, 63], Operations: [] Exploring Operation: 30+63=93, Resulting Numbers: [31, 39, 93] Generated Node #2: [31, 39, 93] from Operation: 30+63=93 Current State: 42:[31, 39, 93], Operations: ['30+63=93'] Exploring Operation: 93/31=3, Resulting Numbers: [39, 3] Generated Node #3: [39, 3] from Operation: 93/31=3 Current State: 42:[39, 3], Operations: ['30+63=93', '93/31=3'] Exploring Operation: 39+3=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 12, 23, 19, 5 ]
58
[ "19-12=7", "5*7=35", "23+35=58" ]
Current State: 58:[12, 23, 19, 5], Operations: [] Exploring Operation: 19-12=7, Resulting Numbers: [23, 5, 7] Generated Node #2: [23, 5, 7] from Operation: 19-12=7 Current State: 58:[23, 5, 7], Operations: ['19-12=7'] Exploring Operation: 5*7=35, Resulting Numbers: [23, 35] Generated Node #3: [23, 35] from Operation: 5*7=35 Current State: 58:[23, 35], Operations: ['19-12=7', '5*7=35'] Exploring Operation: 23+35=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 13, 4, 7, 37 ]
47
[ "13+4=17", "37-7=30", "17+30=47" ]
Current State: 47:[13, 4, 7, 37], Operations: [] Exploring Operation: 13+4=17, Resulting Numbers: [7, 37, 17] Generated Node #2: [7, 37, 17] from Operation: 13+4=17 Current State: 47:[7, 37, 17], Operations: ['13+4=17'] Exploring Operation: 37-7=30, Resulting Numbers: [17, 30] Generated Node #3: [17, 30] from Operation: 37-7=30 Current State: 47:[17, 30], Operations: ['13+4=17', '37-7=30'] Exploring Operation: 17+30=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 36, 31, 87, 96 ]
35
[ "96-87=9", "36/9=4", "31+4=35" ]
Current State: 35:[36, 31, 87, 96], Operations: [] Exploring Operation: 96-87=9, Resulting Numbers: [36, 31, 9] Generated Node #2: [36, 31, 9] from Operation: 96-87=9 Current State: 35:[36, 31, 9], Operations: ['96-87=9'] Exploring Operation: 36/9=4, Resulting Numbers: [31, 4] Generated Node #3: [31, 4] from Operation: 36/9=4 Current State: 35:[31, 4], Operations: ['96-87=9', '36/9=4'] Exploring Operation: 31+4=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 18, 66, 4, 29 ]
17
[ "66-18=48", "48/4=12", "29-12=17" ]
Current State: 17:[18, 66, 4, 29], Operations: [] Exploring Operation: 66-18=48, Resulting Numbers: [4, 29, 48] Generated Node #2: [4, 29, 48] from Operation: 66-18=48 Current State: 17:[4, 29, 48], Operations: ['66-18=48'] Exploring Operation: 48/4=12, Resulting Numbers: [29, 12] Generated Node #3: [29, 12] from Operation: 48/4=12 Current State: 17:[29, 12], Operations: ['66-18=48', '48/4=12'] Exploring Operation: 29-12=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 16, 38, 6, 64 ]
11
[ "64/16=4", "38+6=44", "44/4=11" ]
Current State: 11:[16, 38, 6, 64], Operations: [] Exploring Operation: 64/16=4, Resulting Numbers: [38, 6, 4] Generated Node #2: [38, 6, 4] from Operation: 64/16=4 Current State: 11:[38, 6, 4], Operations: ['64/16=4'] Exploring Operation: 38+6=44, Resulting Numbers: [4, 44] Generated Node #3: [4, 44] from Operation: 38+6=44 Current State: 11:[4, 44], Operations: ['64/16=4', '38+6=44'] Exploring Operation: 44/4=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 57, 22, 43, 62 ]
67
[ "62-57=5", "22*5=110", "110-43=67" ]
Current State: 67:[57, 22, 43, 62], Operations: [] Exploring Operation: 62-57=5, Resulting Numbers: [22, 43, 5] Generated Node #2: [22, 43, 5] from Operation: 62-57=5 Current State: 67:[22, 43, 5], Operations: ['62-57=5'] Exploring Operation: 22*5=110, Resulting Numbers: [43, 110] Generated Node #3: [43, 110] from Operation: 22*5=110 Current State: 67:[43, 110], Operations: ['62-57=5', '22*5=110'] Exploring Operation: 110-43=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 19, 45, 81, 8 ]
73
[ "19+45=64", "64/8=8", "81-8=73" ]
Current State: 73:[19, 45, 81, 8], Operations: [] Exploring Operation: 19+45=64, Resulting Numbers: [81, 8, 64] Generated Node #2: [81, 8, 64] from Operation: 19+45=64 Current State: 73:[81, 8, 64], Operations: ['19+45=64'] Exploring Operation: 64/8=8, Resulting Numbers: [81, 8] Generated Node #3: [81, 8] from Operation: 64/8=8 Current State: 73:[81, 8], Operations: ['19+45=64', '64/8=8'] Exploring Operation: 81-8=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 66, 66, 8, 43 ]
81
[ "66+66=132", "8+43=51", "132-51=81" ]
Current State: 81:[66, 66, 8, 43], Operations: [] Exploring Operation: 66+66=132, Resulting Numbers: [8, 43, 132] Generated Node #2: [8, 43, 132] from Operation: 66+66=132 Current State: 81:[8, 43, 132], Operations: ['66+66=132'] Exploring Operation: 8+43=51, Resulting Numbers: [132, 51] Generated Node #3: [132, 51] from Operation: 8+43=51 Current State: 81:[132, 51], Operations: ['66+66=132', '8+43=51'] Exploring Operation: 132-51=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 80, 76, 7, 76 ]
73
[ "80+76=156", "7+76=83", "156-83=73" ]
Current State: 73:[80, 76, 7, 76], Operations: [] Exploring Operation: 80+76=156, Resulting Numbers: [7, 156] Generated Node #2: [7, 156] from Operation: 80+76=156 Current State: 73:[7, 156], Operations: ['80+76=156'] Exploring Operation: 7+76=83, Resulting Numbers: [156, 83] Generated Node #3: [156, 83] from Operation: 7+76=83 Current State: 73:[156, 83], Operations: ['80+76=156', '7+76=83'] Exploring Operation: 156-83=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 94, 4, 35, 32 ]
95
[ "94+4=98", "35-32=3", "98-3=95" ]
Current State: 95:[94, 4, 35, 32], Operations: [] Exploring Operation: 94+4=98, Resulting Numbers: [35, 32, 98] Generated Node #2: [35, 32, 98] from Operation: 94+4=98 Current State: 95:[35, 32, 98], Operations: ['94+4=98'] Exploring Operation: 35-32=3, Resulting Numbers: [98, 3] Generated Node #3: [98, 3] from Operation: 35-32=3 Current State: 95:[98, 3], Operations: ['94+4=98', '35-32=3'] Exploring Operation: 98-3=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 60, 30, 94, 91 ]
87
[ "60+30=90", "94-91=3", "90-3=87" ]
Current State: 87:[60, 30, 94, 91], Operations: [] Exploring Operation: 60+30=90, Resulting Numbers: [94, 91, 90] Generated Node #2: [94, 91, 90] from Operation: 60+30=90 Current State: 87:[94, 91, 90], Operations: ['60+30=90'] Exploring Operation: 94-91=3, Resulting Numbers: [90, 3] Generated Node #3: [90, 3] from Operation: 94-91=3 Current State: 87:[90, 3], Operations: ['60+30=90', '94-91=3'] Exploring Operation: 90-3=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 83, 22, 2, 61 ]
83
[ "83+22=105", "61+105=166", "166/2=83" ]
Current State: 83:[83, 22, 2, 61], Operations: [] Exploring Operation: 83+22=105, Resulting Numbers: [2, 61, 105] Generated Node #2: [2, 61, 105] from Operation: 83+22=105 Current State: 83:[2, 61, 105], Operations: ['83+22=105'] Exploring Operation: 61+105=166, Resulting Numbers: [2, 166] Generated Node #3: [2, 166] from Operation: 61+105=166 Current State: 83:[2, 166], Operations: ['83+22=105', '61+105=166'] Exploring Operation: 166/2=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 56, 62, 3, 95 ]
55
[ "95-56=39", "3*39=117", "117-62=55" ]
Current State: 55:[56, 62, 3, 95], Operations: [] Exploring Operation: 95-56=39, Resulting Numbers: [62, 3, 39] Generated Node #2: [62, 3, 39] from Operation: 95-56=39 Current State: 55:[62, 3, 39], Operations: ['95-56=39'] Exploring Operation: 3*39=117, Resulting Numbers: [62, 117] Generated Node #3: [62, 117] from Operation: 3*39=117 Current State: 55:[62, 117], Operations: ['95-56=39', '3*39=117'] Exploring Operation: 117-62=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 74, 29, 87, 81 ]
65
[ "74+29=103", "87+81=168", "168-103=65" ]
Current State: 65:[74, 29, 87, 81], Operations: [] Exploring Operation: 74+29=103, Resulting Numbers: [87, 81, 103] Generated Node #2: [87, 81, 103] from Operation: 74+29=103 Current State: 65:[87, 81, 103], Operations: ['74+29=103'] Exploring Operation: 87+81=168, Resulting Numbers: [103, 168] Generated Node #3: [103, 168] from Operation: 87+81=168 Current State: 65:[103, 168], Operations: ['74+29=103', '87+81=168'] Exploring Operation: 168-103=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 97, 70, 7, 46 ]
66
[ "97-70=27", "46-7=39", "27+39=66" ]
Current State: 66:[97, 70, 7, 46], Operations: [] Exploring Operation: 97-70=27, Resulting Numbers: [7, 46, 27] Generated Node #2: [7, 46, 27] from Operation: 97-70=27 Current State: 66:[7, 46, 27], Operations: ['97-70=27'] Exploring Operation: 46-7=39, Resulting Numbers: [27, 39] Generated Node #3: [27, 39] from Operation: 46-7=39 Current State: 66:[27, 39], Operations: ['97-70=27', '46-7=39'] Exploring Operation: 27+39=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 25, 85, 24, 11 ]
34
[ "25+85=110", "110/11=10", "24+10=34" ]
Current State: 34:[25, 85, 24, 11], Operations: [] Exploring Operation: 25+85=110, Resulting Numbers: [24, 11, 110] Generated Node #2: [24, 11, 110] from Operation: 25+85=110 Current State: 34:[24, 11, 110], Operations: ['25+85=110'] Exploring Operation: 110/11=10, Resulting Numbers: [24, 10] Generated Node #3: [24, 10] from Operation: 110/11=10 Current State: 34:[24, 10], Operations: ['25+85=110', '110/11=10'] Exploring Operation: 24+10=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 66, 38, 40, 11 ]
13
[ "66/11=6", "38+40=78", "78/6=13" ]
Current State: 13:[66, 38, 40, 11], Operations: [] Exploring Operation: 66/11=6, Resulting Numbers: [38, 40, 6] Generated Node #2: [38, 40, 6] from Operation: 66/11=6 Current State: 13:[38, 40, 6], Operations: ['66/11=6'] Exploring Operation: 38+40=78, Resulting Numbers: [6, 78] Generated Node #3: [6, 78] from Operation: 38+40=78 Current State: 13:[6, 78], Operations: ['66/11=6', '38+40=78'] Exploring Operation: 78/6=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 86, 66, 8, 49 ]
50
[ "66-49=17", "8*17=136", "136-86=50" ]
Current State: 50:[86, 66, 8, 49], Operations: [] Exploring Operation: 66-49=17, Resulting Numbers: [86, 8, 17] Generated Node #2: [86, 8, 17] from Operation: 66-49=17 Current State: 50:[86, 8, 17], Operations: ['66-49=17'] Exploring Operation: 8*17=136, Resulting Numbers: [86, 136] Generated Node #3: [86, 136] from Operation: 8*17=136 Current State: 50:[86, 136], Operations: ['66-49=17', '8*17=136'] Exploring Operation: 136-86=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 67, 41, 43, 39 ]
55
[ "67+43=110", "41-39=2", "110/2=55" ]
Current State: 55:[67, 41, 43, 39], Operations: [] Exploring Operation: 67+43=110, Resulting Numbers: [41, 39, 110] Generated Node #2: [41, 39, 110] from Operation: 67+43=110 Current State: 55:[41, 39, 110], Operations: ['67+43=110'] Exploring Operation: 41-39=2, Resulting Numbers: [110, 2] Generated Node #3: [110, 2] from Operation: 41-39=2 Current State: 55:[110, 2], Operations: ['67+43=110', '41-39=2'] Exploring Operation: 110/2=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 25, 40, 63, 53 ]
16
[ "63-53=10", "40*10=400", "400/25=16" ]
Current State: 16:[25, 40, 63, 53], Operations: [] Exploring Operation: 63-53=10, Resulting Numbers: [25, 40, 10] Generated Node #2: [25, 40, 10] from Operation: 63-53=10 Current State: 16:[25, 40, 10], Operations: ['63-53=10'] Exploring Operation: 40*10=400, Resulting Numbers: [25, 400] Generated Node #3: [25, 400] from Operation: 40*10=400 Current State: 16:[25, 400], Operations: ['63-53=10', '40*10=400'] Exploring Operation: 400/25=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 3, 25, 9, 54 ]
40
[ "54-9=45", "45/3=15", "25+15=40" ]
Current State: 40:[3, 25, 9, 54], Operations: [] Exploring Operation: 54-9=45, Resulting Numbers: [3, 25, 45] Generated Node #2: [3, 25, 45] from Operation: 54-9=45 Current State: 40:[3, 25, 45], Operations: ['54-9=45'] Exploring Operation: 45/3=15, Resulting Numbers: [25, 15] Generated Node #3: [25, 15] from Operation: 45/3=15 Current State: 40:[25, 15], Operations: ['54-9=45', '45/3=15'] Exploring Operation: 25+15=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 10, 26, 20, 6 ]
14
[ "10+26=36", "36/6=6", "20-6=14" ]
Current State: 14:[10, 26, 20, 6], Operations: [] Exploring Operation: 10+26=36, Resulting Numbers: [20, 6, 36] Generated Node #2: [20, 6, 36] from Operation: 10+26=36 Current State: 14:[20, 6, 36], Operations: ['10+26=36'] Exploring Operation: 36/6=6, Resulting Numbers: [20, 6] Generated Node #3: [20, 6] from Operation: 36/6=6 Current State: 14:[20, 6], Operations: ['10+26=36', '36/6=6'] Exploring Operation: 20-6=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 54, 8, 96, 74 ]
64
[ "74-54=20", "8*20=160", "160-96=64" ]
Current State: 64:[54, 8, 96, 74], Operations: [] Exploring Operation: 74-54=20, Resulting Numbers: [8, 96, 20] Generated Node #2: [8, 96, 20] from Operation: 74-54=20 Current State: 64:[8, 96, 20], Operations: ['74-54=20'] Exploring Operation: 8*20=160, Resulting Numbers: [96, 160] Generated Node #3: [96, 160] from Operation: 8*20=160 Current State: 64:[96, 160], Operations: ['74-54=20', '8*20=160'] Exploring Operation: 160-96=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 81, 2, 92, 12 ]
47
[ "81+12=93", "92/2=46", "93-46=47" ]
Current State: 47:[81, 2, 92, 12], Operations: [] Exploring Operation: 81+12=93, Resulting Numbers: [2, 92, 93] Generated Node #2: [2, 92, 93] from Operation: 81+12=93 Current State: 47:[2, 92, 93], Operations: ['81+12=93'] Exploring Operation: 92/2=46, Resulting Numbers: [93, 46] Generated Node #3: [93, 46] from Operation: 92/2=46 Current State: 47:[93, 46], Operations: ['81+12=93', '92/2=46'] Exploring Operation: 93-46=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 32, 73, 96, 6 ]
89
[ "32+73=105", "96/6=16", "105-16=89" ]
Current State: 89:[32, 73, 96, 6], Operations: [] Exploring Operation: 32+73=105, Resulting Numbers: [96, 6, 105] Generated Node #2: [96, 6, 105] from Operation: 32+73=105 Current State: 89:[96, 6, 105], Operations: ['32+73=105'] Exploring Operation: 96/6=16, Resulting Numbers: [105, 16] Generated Node #3: [105, 16] from Operation: 96/6=16 Current State: 89:[105, 16], Operations: ['32+73=105', '96/6=16'] Exploring Operation: 105-16=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 63, 63, 21, 2 ]
30
[ "63/21=3", "63-3=60", "60/2=30" ]
Current State: 30:[63, 63, 21, 2], Operations: [] Exploring Operation: 63/21=3, Resulting Numbers: [2, 3] Generated Node #2: [2, 3] from Operation: 63/21=3 Current State: 30:[2, 3], Operations: ['63/21=3'] Exploring Operation: 63-3=60, Resulting Numbers: [2, 60] Generated Node #3: [2, 60] from Operation: 63-3=60 Current State: 30:[2, 60], Operations: ['63/21=3', '63-3=60'] Exploring Operation: 60/2=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 11, 47, 55, 63 ]
15
[ "47+55=102", "63+102=165", "165/11=15" ]
Current State: 15:[11, 47, 55, 63], Operations: [] Exploring Operation: 47+55=102, Resulting Numbers: [11, 63, 102] Generated Node #2: [11, 63, 102] from Operation: 47+55=102 Current State: 15:[11, 63, 102], Operations: ['47+55=102'] Exploring Operation: 63+102=165, Resulting Numbers: [11, 165] Generated Node #3: [11, 165] from Operation: 63+102=165 Current State: 15:[11, 165], Operations: ['47+55=102', '63+102=165'] Exploring Operation: 165/11=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 3, 67, 32, 5 ]
74
[ "3+32=35", "35/5=7", "67+7=74" ]
Current State: 74:[3, 67, 32, 5], Operations: [] Exploring Operation: 3+32=35, Resulting Numbers: [67, 5, 35] Generated Node #2: [67, 5, 35] from Operation: 3+32=35 Current State: 74:[67, 5, 35], Operations: ['3+32=35'] Exploring Operation: 35/5=7, Resulting Numbers: [67, 7] Generated Node #3: [67, 7] from Operation: 35/5=7 Current State: 74:[67, 7], Operations: ['3+32=35', '35/5=7'] Exploring Operation: 67+7=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 5, 65, 8, 45 ]
14
[ "65+45=110", "110/5=22", "22-8=14" ]
Current State: 14:[5, 65, 8, 45], Operations: [] Exploring Operation: 65+45=110, Resulting Numbers: [5, 8, 110] Generated Node #2: [5, 8, 110] from Operation: 65+45=110 Current State: 14:[5, 8, 110], Operations: ['65+45=110'] Exploring Operation: 110/5=22, Resulting Numbers: [8, 22] Generated Node #3: [8, 22] from Operation: 110/5=22 Current State: 14:[8, 22], Operations: ['65+45=110', '110/5=22'] Exploring Operation: 22-8=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 28, 61, 51, 36 ]
32
[ "61+51=112", "112/28=4", "36-4=32" ]
Current State: 32:[28, 61, 51, 36], Operations: [] Exploring Operation: 61+51=112, Resulting Numbers: [28, 36, 112] Generated Node #2: [28, 36, 112] from Operation: 61+51=112 Current State: 32:[28, 36, 112], Operations: ['61+51=112'] Exploring Operation: 112/28=4, Resulting Numbers: [36, 4] Generated Node #3: [36, 4] from Operation: 112/28=4 Current State: 32:[36, 4], Operations: ['61+51=112', '112/28=4'] Exploring Operation: 36-4=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 76, 24, 2, 84 ]
58
[ "76+24=100", "84/2=42", "100-42=58" ]
Current State: 58:[76, 24, 2, 84], Operations: [] Exploring Operation: 76+24=100, Resulting Numbers: [2, 84, 100] Generated Node #2: [2, 84, 100] from Operation: 76+24=100 Current State: 58:[2, 84, 100], Operations: ['76+24=100'] Exploring Operation: 84/2=42, Resulting Numbers: [100, 42] Generated Node #3: [100, 42] from Operation: 84/2=42 Current State: 58:[100, 42], Operations: ['76+24=100', '84/2=42'] Exploring Operation: 100-42=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 57, 47, 3, 4 ]
11
[ "57-47=10", "4-3=1", "10+1=11" ]
Current State: 11:[57, 47, 3, 4], Operations: [] Exploring Operation: 57-47=10, Resulting Numbers: [3, 4, 10] Generated Node #2: [3, 4, 10] from Operation: 57-47=10 Current State: 11:[3, 4, 10], Operations: ['57-47=10'] Exploring Operation: 4-3=1, Resulting Numbers: [10, 1] Generated Node #3: [10, 1] from Operation: 4-3=1 Current State: 11:[10, 1], Operations: ['57-47=10', '4-3=1'] Exploring Operation: 10+1=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 66, 47, 55, 46 ]
10
[ "66-47=19", "55-46=9", "19-9=10" ]
Current State: 10:[66, 47, 55, 46], Operations: [] Exploring Operation: 66-47=19, Resulting Numbers: [55, 46, 19] Generated Node #2: [55, 46, 19] from Operation: 66-47=19 Current State: 10:[55, 46, 19], Operations: ['66-47=19'] Exploring Operation: 55-46=9, Resulting Numbers: [19, 9] Generated Node #3: [19, 9] from Operation: 55-46=9 Current State: 10:[19, 9], Operations: ['66-47=19', '55-46=9'] Exploring Operation: 19-9=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 49, 51, 7, 64 ]
25
[ "51-49=2", "64/2=32", "32-7=25" ]
Current State: 25:[49, 51, 7, 64], Operations: [] Exploring Operation: 51-49=2, Resulting Numbers: [7, 64, 2] Generated Node #2: [7, 64, 2] from Operation: 51-49=2 Current State: 25:[7, 64, 2], Operations: ['51-49=2'] Exploring Operation: 64/2=32, Resulting Numbers: [7, 32] Generated Node #3: [7, 32] from Operation: 64/2=32 Current State: 25:[7, 32], Operations: ['51-49=2', '64/2=32'] Exploring Operation: 32-7=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 18, 10, 45, 9 ]
82
[ "18+10=28", "45+9=54", "28+54=82" ]
Current State: 82:[18, 10, 45, 9], Operations: [] Exploring Operation: 18+10=28, Resulting Numbers: [45, 9, 28] Generated Node #2: [45, 9, 28] from Operation: 18+10=28 Current State: 82:[45, 9, 28], Operations: ['18+10=28'] Exploring Operation: 45+9=54, Resulting Numbers: [28, 54] Generated Node #3: [28, 54] from Operation: 45+9=54 Current State: 82:[28, 54], Operations: ['18+10=28', '45+9=54'] Exploring Operation: 28+54=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 73, 65, 75, 20 ]
66
[ "65+75=140", "140/20=7", "73-7=66" ]
Current State: 66:[73, 65, 75, 20], Operations: [] Exploring Operation: 65+75=140, Resulting Numbers: [73, 20, 140] Generated Node #2: [73, 20, 140] from Operation: 65+75=140 Current State: 66:[73, 20, 140], Operations: ['65+75=140'] Exploring Operation: 140/20=7, Resulting Numbers: [73, 7] Generated Node #3: [73, 7] from Operation: 140/20=7 Current State: 66:[73, 7], Operations: ['65+75=140', '140/20=7'] Exploring Operation: 73-7=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 78, 3, 33, 67 ]
46
[ "78+67=145", "3*33=99", "145-99=46" ]
Current State: 46:[78, 3, 33, 67], Operations: [] Exploring Operation: 78+67=145, Resulting Numbers: [3, 33, 145] Generated Node #2: [3, 33, 145] from Operation: 78+67=145 Current State: 46:[3, 33, 145], Operations: ['78+67=145'] Exploring Operation: 3*33=99, Resulting Numbers: [145, 99] Generated Node #3: [145, 99] from Operation: 3*33=99 Current State: 46:[145, 99], Operations: ['78+67=145', '3*33=99'] Exploring Operation: 145-99=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 35, 54, 30, 59 ]
10
[ "54-35=19", "59-30=29", "29-19=10" ]
Current State: 10:[35, 54, 30, 59], Operations: [] Exploring Operation: 54-35=19, Resulting Numbers: [30, 59, 19] Generated Node #2: [30, 59, 19] from Operation: 54-35=19 Current State: 10:[30, 59, 19], Operations: ['54-35=19'] Exploring Operation: 59-30=29, Resulting Numbers: [19, 29] Generated Node #3: [19, 29] from Operation: 59-30=29 Current State: 10:[19, 29], Operations: ['54-35=19', '59-30=29'] Exploring Operation: 29-19=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 27, 17, 19, 23 ]
15
[ "27+19=46", "46/23=2", "17-2=15" ]
Current State: 15:[27, 17, 19, 23], Operations: [] Exploring Operation: 27+19=46, Resulting Numbers: [17, 23, 46] Generated Node #2: [17, 23, 46] from Operation: 27+19=46 Current State: 15:[17, 23, 46], Operations: ['27+19=46'] Exploring Operation: 46/23=2, Resulting Numbers: [17, 2] Generated Node #3: [17, 2] from Operation: 46/23=2 Current State: 15:[17, 2], Operations: ['27+19=46', '46/23=2'] Exploring Operation: 17-2=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 62, 5, 1, 57 ]
20
[ "62-1=61", "61-57=4", "5*4=20" ]
Current State: 20:[62, 5, 1, 57], Operations: [] Exploring Operation: 62-1=61, Resulting Numbers: [5, 57, 61] Generated Node #2: [5, 57, 61] from Operation: 62-1=61 Current State: 20:[5, 57, 61], Operations: ['62-1=61'] Exploring Operation: 61-57=4, Resulting Numbers: [5, 4] Generated Node #3: [5, 4] from Operation: 61-57=4 Current State: 20:[5, 4], Operations: ['62-1=61', '61-57=4'] Exploring Operation: 5*4=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 80, 17, 80, 40 ]
99
[ "80+17=97", "80/40=2", "97+2=99" ]
Current State: 99:[80, 17, 80, 40], Operations: [] Exploring Operation: 80+17=97, Resulting Numbers: [40, 97] Generated Node #2: [40, 97] from Operation: 80+17=97 Current State: 99:[40, 97], Operations: ['80+17=97'] Exploring Operation: 80/40=2, Resulting Numbers: [97, 2] Generated Node #3: [97, 2] from Operation: 80/40=2 Current State: 99:[97, 2], Operations: ['80+17=97', '80/40=2'] Exploring Operation: 97+2=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 3, 50, 60, 68 ]
14
[ "50+60=110", "110-68=42", "42/3=14" ]
Current State: 14:[3, 50, 60, 68], Operations: [] Exploring Operation: 50+60=110, Resulting Numbers: [3, 68, 110] Generated Node #2: [3, 68, 110] from Operation: 50+60=110 Current State: 14:[3, 68, 110], Operations: ['50+60=110'] Exploring Operation: 110-68=42, Resulting Numbers: [3, 42] Generated Node #3: [3, 42] from Operation: 110-68=42 Current State: 14:[3, 42], Operations: ['50+60=110', '110-68=42'] Exploring Operation: 42/3=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 78, 93, 44, 28 ]
57
[ "93-78=15", "44+28=72", "72-15=57" ]
Current State: 57:[78, 93, 44, 28], Operations: [] Exploring Operation: 93-78=15, Resulting Numbers: [44, 28, 15] Generated Node #2: [44, 28, 15] from Operation: 93-78=15 Current State: 57:[44, 28, 15], Operations: ['93-78=15'] Exploring Operation: 44+28=72, Resulting Numbers: [15, 72] Generated Node #3: [15, 72] from Operation: 44+28=72 Current State: 57:[15, 72], Operations: ['93-78=15', '44+28=72'] Exploring Operation: 72-15=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 3, 14, 2, 56 ]
35
[ "3*14=42", "42/2=21", "56-21=35" ]
Current State: 35:[3, 14, 2, 56], Operations: [] Exploring Operation: 3*14=42, Resulting Numbers: [2, 56, 42] Generated Node #2: [2, 56, 42] from Operation: 3*14=42 Current State: 35:[2, 56, 42], Operations: ['3*14=42'] Exploring Operation: 42/2=21, Resulting Numbers: [56, 21] Generated Node #3: [56, 21] from Operation: 42/2=21 Current State: 35:[56, 21], Operations: ['3*14=42', '42/2=21'] Exploring Operation: 56-21=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 91, 31, 10, 18 ]
88
[ "91-31=60", "10+18=28", "60+28=88" ]
Current State: 88:[91, 31, 10, 18], Operations: [] Exploring Operation: 91-31=60, Resulting Numbers: [10, 18, 60] Generated Node #2: [10, 18, 60] from Operation: 91-31=60 Current State: 88:[10, 18, 60], Operations: ['91-31=60'] Exploring Operation: 10+18=28, Resulting Numbers: [60, 28] Generated Node #3: [60, 28] from Operation: 10+18=28 Current State: 88:[60, 28], Operations: ['91-31=60', '10+18=28'] Exploring Operation: 60+28=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 90, 23, 74, 59 ]
29
[ "74-59=15", "90/15=6", "23+6=29" ]
Current State: 29:[90, 23, 74, 59], Operations: [] Exploring Operation: 74-59=15, Resulting Numbers: [90, 23, 15] Generated Node #2: [90, 23, 15] from Operation: 74-59=15 Current State: 29:[90, 23, 15], Operations: ['74-59=15'] Exploring Operation: 90/15=6, Resulting Numbers: [23, 6] Generated Node #3: [23, 6] from Operation: 90/15=6 Current State: 29:[23, 6], Operations: ['74-59=15', '90/15=6'] Exploring Operation: 23+6=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 39, 60, 87, 47 ]
61
[ "60-39=21", "87-47=40", "21+40=61" ]
Current State: 61:[39, 60, 87, 47], Operations: [] Exploring Operation: 60-39=21, Resulting Numbers: [87, 47, 21] Generated Node #2: [87, 47, 21] from Operation: 60-39=21 Current State: 61:[87, 47, 21], Operations: ['60-39=21'] Exploring Operation: 87-47=40, Resulting Numbers: [21, 40] Generated Node #3: [21, 40] from Operation: 87-47=40 Current State: 61:[21, 40], Operations: ['60-39=21', '87-47=40'] Exploring Operation: 21+40=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 60, 25, 48, 34 ]
99
[ "60+25=85", "48-34=14", "85+14=99" ]
Current State: 99:[60, 25, 48, 34], Operations: [] Exploring Operation: 60+25=85, Resulting Numbers: [48, 34, 85] Generated Node #2: [48, 34, 85] from Operation: 60+25=85 Current State: 99:[48, 34, 85], Operations: ['60+25=85'] Exploring Operation: 48-34=14, Resulting Numbers: [85, 14] Generated Node #3: [85, 14] from Operation: 48-34=14 Current State: 99:[85, 14], Operations: ['60+25=85', '48-34=14'] Exploring Operation: 85+14=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 39, 62, 70, 42 ]
89
[ "62-39=23", "70+42=112", "112-23=89" ]
Current State: 89:[39, 62, 70, 42], Operations: [] Exploring Operation: 62-39=23, Resulting Numbers: [70, 42, 23] Generated Node #2: [70, 42, 23] from Operation: 62-39=23 Current State: 89:[70, 42, 23], Operations: ['62-39=23'] Exploring Operation: 70+42=112, Resulting Numbers: [23, 112] Generated Node #3: [23, 112] from Operation: 70+42=112 Current State: 89:[23, 112], Operations: ['62-39=23', '70+42=112'] Exploring Operation: 112-23=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 33, 31, 68, 34 ]
31
[ "68-33=35", "35-34=1", "31*1=31" ]
Current State: 31:[33, 31, 68, 34], Operations: [] Exploring Operation: 68-33=35, Resulting Numbers: [31, 34, 35] Generated Node #2: [31, 34, 35] from Operation: 68-33=35 Current State: 31:[31, 34, 35], Operations: ['68-33=35'] Exploring Operation: 35-34=1, Resulting Numbers: [31, 1] Generated Node #3: [31, 1] from Operation: 35-34=1 Current State: 31:[31, 1], Operations: ['68-33=35', '35-34=1'] Exploring Operation: 31*1=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 95, 71, 30, 94 ]
100
[ "95-71=24", "30+94=124", "124-24=100" ]
Current State: 100:[95, 71, 30, 94], Operations: [] Exploring Operation: 95-71=24, Resulting Numbers: [30, 94, 24] Generated Node #2: [30, 94, 24] from Operation: 95-71=24 Current State: 100:[30, 94, 24], Operations: ['95-71=24'] Exploring Operation: 30+94=124, Resulting Numbers: [24, 124] Generated Node #3: [24, 124] from Operation: 30+94=124 Current State: 100:[24, 124], Operations: ['95-71=24', '30+94=124'] Exploring Operation: 124-24=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 98, 57, 88, 88 ]
40
[ "98-57=41", "88/88=1", "41-1=40" ]
Current State: 40:[98, 57, 88, 88], Operations: [] Exploring Operation: 98-57=41, Resulting Numbers: [88, 88, 41] Generated Node #2: [88, 88, 41] from Operation: 98-57=41 Current State: 40:[88, 88, 41], Operations: ['98-57=41'] Exploring Operation: 88/88=1, Resulting Numbers: [41, 1] Generated Node #3: [41, 1] from Operation: 88/88=1 Current State: 40:[41, 1], Operations: ['98-57=41', '88/88=1'] Exploring Operation: 41-1=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 54, 23, 29, 45 ]
61
[ "54+23=77", "45-29=16", "77-16=61" ]
Current State: 61:[54, 23, 29, 45], Operations: [] Exploring Operation: 54+23=77, Resulting Numbers: [29, 45, 77] Generated Node #2: [29, 45, 77] from Operation: 54+23=77 Current State: 61:[29, 45, 77], Operations: ['54+23=77'] Exploring Operation: 45-29=16, Resulting Numbers: [77, 16] Generated Node #3: [77, 16] from Operation: 45-29=16 Current State: 61:[77, 16], Operations: ['54+23=77', '45-29=16'] Exploring Operation: 77-16=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 41, 10, 25, 4 ]
52
[ "41-10=31", "25-4=21", "31+21=52" ]
Current State: 52:[41, 10, 25, 4], Operations: [] Exploring Operation: 41-10=31, Resulting Numbers: [25, 4, 31] Generated Node #2: [25, 4, 31] from Operation: 41-10=31 Current State: 52:[25, 4, 31], Operations: ['41-10=31'] Exploring Operation: 25-4=21, Resulting Numbers: [31, 21] Generated Node #3: [31, 21] from Operation: 25-4=21 Current State: 52:[31, 21], Operations: ['41-10=31', '25-4=21'] Exploring Operation: 31+21=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 93, 3, 37, 63 ]
70
[ "93+3=96", "63-37=26", "96-26=70" ]
Current State: 70:[93, 3, 37, 63], Operations: [] Exploring Operation: 93+3=96, Resulting Numbers: [37, 63, 96] Generated Node #2: [37, 63, 96] from Operation: 93+3=96 Current State: 70:[37, 63, 96], Operations: ['93+3=96'] Exploring Operation: 63-37=26, Resulting Numbers: [96, 26] Generated Node #3: [96, 26] from Operation: 63-37=26 Current State: 70:[96, 26], Operations: ['93+3=96', '63-37=26'] Exploring Operation: 96-26=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 54, 33, 77, 67 ]
77
[ "54+33=87", "77-67=10", "87-10=77" ]
Current State: 77:[54, 33, 77, 67], Operations: [] Exploring Operation: 54+33=87, Resulting Numbers: [77, 67, 87] Generated Node #2: [77, 67, 87] from Operation: 54+33=87 Current State: 77:[77, 67, 87], Operations: ['54+33=87'] Exploring Operation: 77-67=10, Resulting Numbers: [87, 10] Generated Node #3: [87, 10] from Operation: 77-67=10 Current State: 77:[87, 10], Operations: ['54+33=87', '77-67=10'] Exploring Operation: 87-10=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 54, 81, 33, 75 ]
81
[ "81-54=27", "33+75=108", "108-27=81" ]
Current State: 81:[54, 81, 33, 75], Operations: [] Exploring Operation: 81-54=27, Resulting Numbers: [33, 75, 27] Generated Node #2: [33, 75, 27] from Operation: 81-54=27 Current State: 81:[33, 75, 27], Operations: ['81-54=27'] Exploring Operation: 33+75=108, Resulting Numbers: [27, 108] Generated Node #3: [27, 108] from Operation: 33+75=108 Current State: 81:[27, 108], Operations: ['81-54=27', '33+75=108'] Exploring Operation: 108-27=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 48, 43, 16, 2 ]
70
[ "48-43=5", "16-2=14", "5*14=70" ]
Current State: 70:[48, 43, 16, 2], Operations: [] Exploring Operation: 48-43=5, Resulting Numbers: [16, 2, 5] Generated Node #2: [16, 2, 5] from Operation: 48-43=5 Current State: 70:[16, 2, 5], Operations: ['48-43=5'] Exploring Operation: 16-2=14, Resulting Numbers: [5, 14] Generated Node #3: [5, 14] from Operation: 16-2=14 Current State: 70:[5, 14], Operations: ['48-43=5', '16-2=14'] Exploring Operation: 5*14=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 17, 46, 3, 12 ]
78
[ "17+46=63", "3+12=15", "63+15=78" ]
Current State: 78:[17, 46, 3, 12], Operations: [] Exploring Operation: 17+46=63, Resulting Numbers: [3, 12, 63] Generated Node #2: [3, 12, 63] from Operation: 17+46=63 Current State: 78:[3, 12, 63], Operations: ['17+46=63'] Exploring Operation: 3+12=15, Resulting Numbers: [63, 15] Generated Node #3: [63, 15] from Operation: 3+12=15 Current State: 78:[63, 15], Operations: ['17+46=63', '3+12=15'] Exploring Operation: 63+15=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 42, 22, 1, 8 ]
71
[ "42+22=64", "8-1=7", "64+7=71" ]
Current State: 71:[42, 22, 1, 8], Operations: [] Exploring Operation: 42+22=64, Resulting Numbers: [1, 8, 64] Generated Node #2: [1, 8, 64] from Operation: 42+22=64 Current State: 71:[1, 8, 64], Operations: ['42+22=64'] Exploring Operation: 8-1=7, Resulting Numbers: [64, 7] Generated Node #3: [64, 7] from Operation: 8-1=7 Current State: 71:[64, 7], Operations: ['42+22=64', '8-1=7'] Exploring Operation: 64+7=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 77, 4, 92, 63 ]
37
[ "77-63=14", "92/4=23", "14+23=37" ]
Current State: 37:[77, 4, 92, 63], Operations: [] Exploring Operation: 77-63=14, Resulting Numbers: [4, 92, 14] Generated Node #2: [4, 92, 14] from Operation: 77-63=14 Current State: 37:[4, 92, 14], Operations: ['77-63=14'] Exploring Operation: 92/4=23, Resulting Numbers: [14, 23] Generated Node #3: [14, 23] from Operation: 92/4=23 Current State: 37:[14, 23], Operations: ['77-63=14', '92/4=23'] Exploring Operation: 14+23=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 4, 57, 59, 48 ]
26
[ "4+48=52", "59-57=2", "52/2=26" ]
Current State: 26:[4, 57, 59, 48], Operations: [] Exploring Operation: 4+48=52, Resulting Numbers: [57, 59, 52] Generated Node #2: [57, 59, 52] from Operation: 4+48=52 Current State: 26:[57, 59, 52], Operations: ['4+48=52'] Exploring Operation: 59-57=2, Resulting Numbers: [52, 2] Generated Node #3: [52, 2] from Operation: 59-57=2 Current State: 26:[52, 2], Operations: ['4+48=52', '59-57=2'] Exploring Operation: 52/2=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 24, 59, 37, 59 ]
14
[ "37-24=13", "59/59=1", "13+1=14" ]
Current State: 14:[24, 59, 37, 59], Operations: [] Exploring Operation: 37-24=13, Resulting Numbers: [59, 59, 13] Generated Node #2: [59, 59, 13] from Operation: 37-24=13 Current State: 14:[59, 59, 13], Operations: ['37-24=13'] Exploring Operation: 59/59=1, Resulting Numbers: [13, 1] Generated Node #3: [13, 1] from Operation: 59/59=1 Current State: 14:[13, 1], Operations: ['37-24=13', '59/59=1'] Exploring Operation: 13+1=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 67, 69, 67, 53 ]
12
[ "69-67=2", "67-53=14", "14-2=12" ]
Current State: 12:[67, 69, 67, 53], Operations: [] Exploring Operation: 69-67=2, Resulting Numbers: [53, 2] Generated Node #2: [53, 2] from Operation: 69-67=2 Current State: 12:[53, 2], Operations: ['69-67=2'] Exploring Operation: 67-53=14, Resulting Numbers: [2, 14] Generated Node #3: [2, 14] from Operation: 67-53=14 Current State: 12:[2, 14], Operations: ['69-67=2', '67-53=14'] Exploring Operation: 14-2=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 36, 9, 98, 3 ]
97
[ "36/9=4", "98+3=101", "101-4=97" ]
Current State: 97:[36, 9, 98, 3], Operations: [] Exploring Operation: 36/9=4, Resulting Numbers: [98, 3, 4] Generated Node #2: [98, 3, 4] from Operation: 36/9=4 Current State: 97:[98, 3, 4], Operations: ['36/9=4'] Exploring Operation: 98+3=101, Resulting Numbers: [4, 101] Generated Node #3: [4, 101] from Operation: 98+3=101 Current State: 97:[4, 101], Operations: ['36/9=4', '98+3=101'] Exploring Operation: 101-4=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 5, 57, 2, 14 ]
45
[ "5+57=62", "62/2=31", "14+31=45" ]
Current State: 45:[5, 57, 2, 14], Operations: [] Exploring Operation: 5+57=62, Resulting Numbers: [2, 14, 62] Generated Node #2: [2, 14, 62] from Operation: 5+57=62 Current State: 45:[2, 14, 62], Operations: ['5+57=62'] Exploring Operation: 62/2=31, Resulting Numbers: [14, 31] Generated Node #3: [14, 31] from Operation: 62/2=31 Current State: 45:[14, 31], Operations: ['5+57=62', '62/2=31'] Exploring Operation: 14+31=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 55, 23, 74, 33 ]
11
[ "23*33=759", "55+759=814", "814/74=11" ]
Current State: 11:[55, 23, 74, 33], Operations: [] Exploring Operation: 23*33=759, Resulting Numbers: [55, 74, 759] Generated Node #2: [55, 74, 759] from Operation: 23*33=759 Current State: 11:[55, 74, 759], Operations: ['23*33=759'] Exploring Operation: 55+759=814, Resulting Numbers: [74, 814] Generated Node #3: [74, 814] from Operation: 55+759=814 Current State: 11:[74, 814], Operations: ['23*33=759', '55+759=814'] Exploring Operation: 814/74=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 72, 11, 7, 50 ]
77
[ "72-11=61", "61-50=11", "7*11=77" ]
Current State: 77:[72, 11, 7, 50], Operations: [] Exploring Operation: 72-11=61, Resulting Numbers: [7, 50, 61] Generated Node #2: [7, 50, 61] from Operation: 72-11=61 Current State: 77:[7, 50, 61], Operations: ['72-11=61'] Exploring Operation: 61-50=11, Resulting Numbers: [7, 11] Generated Node #3: [7, 11] from Operation: 61-50=11 Current State: 77:[7, 11], Operations: ['72-11=61', '61-50=11'] Exploring Operation: 7*11=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 70, 4, 71, 99 ]
42
[ "99-71=28", "4*28=112", "112-70=42" ]
Current State: 42:[70, 4, 71, 99], Operations: [] Exploring Operation: 99-71=28, Resulting Numbers: [70, 4, 28] Generated Node #2: [70, 4, 28] from Operation: 99-71=28 Current State: 42:[70, 4, 28], Operations: ['99-71=28'] Exploring Operation: 4*28=112, Resulting Numbers: [70, 112] Generated Node #3: [70, 112] from Operation: 4*28=112 Current State: 42:[70, 112], Operations: ['99-71=28', '4*28=112'] Exploring Operation: 112-70=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 91, 43, 66, 32 ]
44
[ "91-43=48", "66*32=2112", "2112/48=44" ]
Current State: 44:[91, 43, 66, 32], Operations: [] Exploring Operation: 91-43=48, Resulting Numbers: [66, 32, 48] Generated Node #2: [66, 32, 48] from Operation: 91-43=48 Current State: 44:[66, 32, 48], Operations: ['91-43=48'] Exploring Operation: 66*32=2112, Resulting Numbers: [48, 2112] Generated Node #3: [48, 2112] from Operation: 66*32=2112 Current State: 44:[48, 2112], Operations: ['91-43=48', '66*32=2112'] Exploring Operation: 2112/48=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 55, 70, 74, 65 ]
67
[ "65-55=10", "70/10=7", "74-7=67" ]
Current State: 67:[55, 70, 74, 65], Operations: [] Exploring Operation: 65-55=10, Resulting Numbers: [70, 74, 10] Generated Node #2: [70, 74, 10] from Operation: 65-55=10 Current State: 67:[70, 74, 10], Operations: ['65-55=10'] Exploring Operation: 70/10=7, Resulting Numbers: [74, 7] Generated Node #3: [74, 7] from Operation: 70/10=7 Current State: 67:[74, 7], Operations: ['65-55=10', '70/10=7'] Exploring Operation: 74-7=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 82, 37, 59, 17 ]
52
[ "82+37=119", "119/17=7", "59-7=52" ]
Current State: 52:[82, 37, 59, 17], Operations: [] Exploring Operation: 82+37=119, Resulting Numbers: [59, 17, 119] Generated Node #2: [59, 17, 119] from Operation: 82+37=119 Current State: 52:[59, 17, 119], Operations: ['82+37=119'] Exploring Operation: 119/17=7, Resulting Numbers: [59, 7] Generated Node #3: [59, 7] from Operation: 119/17=7 Current State: 52:[59, 7], Operations: ['82+37=119', '119/17=7'] Exploring Operation: 59-7=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 5, 84, 10, 12 ]
36
[ "10/5=2", "84-12=72", "72/2=36" ]
Current State: 36:[5, 84, 10, 12], Operations: [] Exploring Operation: 10/5=2, Resulting Numbers: [84, 12, 2] Generated Node #2: [84, 12, 2] from Operation: 10/5=2 Current State: 36:[84, 12, 2], Operations: ['10/5=2'] Exploring Operation: 84-12=72, Resulting Numbers: [2, 72] Generated Node #3: [2, 72] from Operation: 84-12=72 Current State: 36:[2, 72], Operations: ['10/5=2', '84-12=72'] Exploring Operation: 72/2=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 26, 90, 44, 20 ]
59
[ "26-20=6", "90/6=15", "44+15=59" ]
Current State: 59:[26, 90, 44, 20], Operations: [] Exploring Operation: 26-20=6, Resulting Numbers: [90, 44, 6] Generated Node #2: [90, 44, 6] from Operation: 26-20=6 Current State: 59:[90, 44, 6], Operations: ['26-20=6'] Exploring Operation: 90/6=15, Resulting Numbers: [44, 15] Generated Node #3: [44, 15] from Operation: 90/6=15 Current State: 59:[44, 15], Operations: ['26-20=6', '90/6=15'] Exploring Operation: 44+15=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 16, 11, 16, 31 ]
42
[ "16+11=27", "31-16=15", "27+15=42" ]
Current State: 42:[16, 11, 16, 31], Operations: [] Exploring Operation: 16+11=27, Resulting Numbers: [31, 27] Generated Node #2: [31, 27] from Operation: 16+11=27 Current State: 42:[31, 27], Operations: ['16+11=27'] Exploring Operation: 31-16=15, Resulting Numbers: [27, 15] Generated Node #3: [27, 15] from Operation: 31-16=15 Current State: 42:[27, 15], Operations: ['16+11=27', '31-16=15'] Exploring Operation: 27+15=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 5, 56, 79, 2 ]
33
[ "5*2=10", "79-56=23", "10+23=33" ]
Current State: 33:[5, 56, 79, 2], Operations: [] Exploring Operation: 5*2=10, Resulting Numbers: [56, 79, 10] Generated Node #2: [56, 79, 10] from Operation: 5*2=10 Current State: 33:[56, 79, 10], Operations: ['5*2=10'] Exploring Operation: 79-56=23, Resulting Numbers: [10, 23] Generated Node #3: [10, 23] from Operation: 79-56=23 Current State: 33:[10, 23], Operations: ['5*2=10', '79-56=23'] Exploring Operation: 10+23=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 38, 90, 4, 30 ]
31
[ "38-4=34", "90/30=3", "34-3=31" ]
Current State: 31:[38, 90, 4, 30], Operations: [] Exploring Operation: 38-4=34, Resulting Numbers: [90, 30, 34] Generated Node #2: [90, 30, 34] from Operation: 38-4=34 Current State: 31:[90, 30, 34], Operations: ['38-4=34'] Exploring Operation: 90/30=3, Resulting Numbers: [34, 3] Generated Node #3: [34, 3] from Operation: 90/30=3 Current State: 31:[34, 3], Operations: ['38-4=34', '90/30=3'] Exploring Operation: 34-3=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 88, 99, 58, 67 ]
20
[ "99-88=11", "67-58=9", "11+9=20" ]
Current State: 20:[88, 99, 58, 67], Operations: [] Exploring Operation: 99-88=11, Resulting Numbers: [58, 67, 11] Generated Node #2: [58, 67, 11] from Operation: 99-88=11 Current State: 20:[58, 67, 11], Operations: ['99-88=11'] Exploring Operation: 67-58=9, Resulting Numbers: [11, 9] Generated Node #3: [11, 9] from Operation: 67-58=9 Current State: 20:[11, 9], Operations: ['99-88=11', '67-58=9'] Exploring Operation: 11+9=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 75, 23, 21, 70 ]
49
[ "75+23=98", "70-21=49", "98-49=49" ]
Current State: 49:[75, 23, 21, 70], Operations: [] Exploring Operation: 75+23=98, Resulting Numbers: [21, 70, 98] Generated Node #2: [21, 70, 98] from Operation: 75+23=98 Current State: 49:[21, 70, 98], Operations: ['75+23=98'] Exploring Operation: 70-21=49, Resulting Numbers: [98, 49] Generated Node #3: [98, 49] from Operation: 70-21=49 Current State: 49:[98, 49], Operations: ['75+23=98', '70-21=49'] Exploring Operation: 98-49=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 78, 31, 29, 26 ]
63
[ "78/26=3", "31+29=60", "3+60=63" ]
Current State: 63:[78, 31, 29, 26], Operations: [] Exploring Operation: 78/26=3, Resulting Numbers: [31, 29, 3] Generated Node #2: [31, 29, 3] from Operation: 78/26=3 Current State: 63:[31, 29, 3], Operations: ['78/26=3'] Exploring Operation: 31+29=60, Resulting Numbers: [3, 60] Generated Node #3: [3, 60] from Operation: 31+29=60 Current State: 63:[3, 60], Operations: ['78/26=3', '31+29=60'] Exploring Operation: 3+60=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 44, 2, 23, 16 ]
75
[ "44+23=67", "16/2=8", "67+8=75" ]
Current State: 75:[44, 2, 23, 16], Operations: [] Exploring Operation: 44+23=67, Resulting Numbers: [2, 16, 67] Generated Node #2: [2, 16, 67] from Operation: 44+23=67 Current State: 75:[2, 16, 67], Operations: ['44+23=67'] Exploring Operation: 16/2=8, Resulting Numbers: [67, 8] Generated Node #3: [67, 8] from Operation: 16/2=8 Current State: 75:[67, 8], Operations: ['44+23=67', '16/2=8'] Exploring Operation: 67+8=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 11, 39, 14, 47 ]
36
[ "47-14=33", "33/11=3", "39-3=36" ]
Current State: 36:[11, 39, 14, 47], Operations: [] Exploring Operation: 47-14=33, Resulting Numbers: [11, 39, 33] Generated Node #2: [11, 39, 33] from Operation: 47-14=33 Current State: 36:[11, 39, 33], Operations: ['47-14=33'] Exploring Operation: 33/11=3, Resulting Numbers: [39, 3] Generated Node #3: [39, 3] from Operation: 33/11=3 Current State: 36:[39, 3], Operations: ['47-14=33', '33/11=3'] Exploring Operation: 39-3=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 25, 68, 3, 9 ]
21
[ "25*9=225", "68*3=204", "225-204=21" ]
Current State: 21:[25, 68, 3, 9], Operations: [] Exploring Operation: 25*9=225, Resulting Numbers: [68, 3, 225] Generated Node #2: [68, 3, 225] from Operation: 25*9=225 Current State: 21:[68, 3, 225], Operations: ['25*9=225'] Exploring Operation: 68*3=204, Resulting Numbers: [225, 204] Generated Node #3: [225, 204] from Operation: 68*3=204 Current State: 21:[225, 204], Operations: ['25*9=225', '68*3=204'] Exploring Operation: 225-204=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4