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
[ 48, 51, 4, 55 ]
48
[ "48+51=99", "55-4=51", "99-51=48" ]
Current State: 48:[48, 51, 4, 55], Operations: [] Exploring Operation: 48+51=99, Resulting Numbers: [4, 55, 99] Generated Node #2: [4, 55, 99] from Operation: 48+51=99 Current State: 48:[4, 55, 99], Operations: ['48+51=99'] Exploring Operation: 55-4=51, Resulting Numbers: [99, 51] Generated Node #3: [99, 51] from Operation: 55-4=51 Current State: 48:[99, 51], Operations: ['48+51=99', '55-4=51'] Exploring Operation: 99-51=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 15, 82, 98, 85 ]
84
[ "15+82=97", "98-85=13", "97-13=84" ]
Current State: 84:[15, 82, 98, 85], Operations: [] Exploring Operation: 15+82=97, Resulting Numbers: [98, 85, 97] Generated Node #2: [98, 85, 97] from Operation: 15+82=97 Current State: 84:[98, 85, 97], Operations: ['15+82=97'] Exploring Operation: 98-85=13, Resulting Numbers: [97, 13] Generated Node #3: [97, 13] from Operation: 98-85=13 Current State: 84:[97, 13], Operations: ['15+82=97', '98-85=13'] Exploring Operation: 97-13=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 76, 78, 90, 46 ]
68
[ "78-76=2", "90+46=136", "136/2=68" ]
Current State: 68:[76, 78, 90, 46], Operations: [] Exploring Operation: 78-76=2, Resulting Numbers: [90, 46, 2] Generated Node #2: [90, 46, 2] from Operation: 78-76=2 Current State: 68:[90, 46, 2], Operations: ['78-76=2'] Exploring Operation: 90+46=136, Resulting Numbers: [2, 136] Generated Node #3: [2, 136] from Operation: 90+46=136 Current State: 68:[2, 136], Operations: ['78-76=2', '90+46=136'] Exploring Operation: 136/2=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 31, 91, 49, 13 ]
73
[ "31+49=80", "91/13=7", "80-7=73" ]
Current State: 73:[31, 91, 49, 13], Operations: [] Exploring Operation: 31+49=80, Resulting Numbers: [91, 13, 80] Generated Node #2: [91, 13, 80] from Operation: 31+49=80 Current State: 73:[91, 13, 80], Operations: ['31+49=80'] Exploring Operation: 91/13=7, Resulting Numbers: [80, 7] Generated Node #3: [80, 7] from Operation: 91/13=7 Current State: 73:[80, 7], Operations: ['31+49=80', '91/13=7'] Exploring Operation: 80-7=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 72, 68, 17, 15 ]
12
[ "68/17=4", "15*4=60", "72-60=12" ]
Current State: 12:[72, 68, 17, 15], Operations: [] Exploring Operation: 68/17=4, Resulting Numbers: [72, 15, 4] Generated Node #2: [72, 15, 4] from Operation: 68/17=4 Current State: 12:[72, 15, 4], Operations: ['68/17=4'] Exploring Operation: 15*4=60, Resulting Numbers: [72, 60] Generated Node #3: [72, 60] from Operation: 15*4=60 Current State: 12:[72, 60], Operations: ['68/17=4', '15*4=60'] Exploring Operation: 72-60=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 35, 75, 80, 70 ]
100
[ "35+75=110", "80-70=10", "110-10=100" ]
Current State: 100:[35, 75, 80, 70], Operations: [] Exploring Operation: 35+75=110, Resulting Numbers: [80, 70, 110] Generated Node #2: [80, 70, 110] from Operation: 35+75=110 Current State: 100:[80, 70, 110], Operations: ['35+75=110'] Exploring Operation: 80-70=10, Resulting Numbers: [110, 10] Generated Node #3: [110, 10] from Operation: 80-70=10 Current State: 100:[110, 10], Operations: ['35+75=110', '80-70=10'] Exploring Operation: 110-10=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 19, 57, 95, 42 ]
84
[ "19+95=114", "114/57=2", "42*2=84" ]
Current State: 84:[19, 57, 95, 42], Operations: [] Exploring Operation: 19+95=114, Resulting Numbers: [57, 42, 114] Generated Node #2: [57, 42, 114] from Operation: 19+95=114 Current State: 84:[57, 42, 114], Operations: ['19+95=114'] Exploring Operation: 114/57=2, Resulting Numbers: [42, 2] Generated Node #3: [42, 2] from Operation: 114/57=2 Current State: 84:[42, 2], Operations: ['19+95=114', '114/57=2'] Exploring Operation: 42*2=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 24, 29, 91, 57 ]
78
[ "24*91=2184", "57-29=28", "2184/28=78" ]
Current State: 78:[24, 29, 91, 57], Operations: [] Exploring Operation: 24*91=2184, Resulting Numbers: [29, 57, 2184] Generated Node #2: [29, 57, 2184] from Operation: 24*91=2184 Current State: 78:[29, 57, 2184], Operations: ['24*91=2184'] Exploring Operation: 57-29=28, Resulting Numbers: [2184, 28] Generated Node #3: [2184, 28] from Operation: 57-29=28 Current State: 78:[2184, 28], Operations: ['24*91=2184', '57-29=28'] Exploring Operation: 2184/28=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 3, 26, 46, 62 ]
94
[ "3*26=78", "62-46=16", "78+16=94" ]
Current State: 94:[3, 26, 46, 62], Operations: [] Exploring Operation: 3*26=78, Resulting Numbers: [46, 62, 78] Generated Node #2: [46, 62, 78] from Operation: 3*26=78 Current State: 94:[46, 62, 78], Operations: ['3*26=78'] Exploring Operation: 62-46=16, Resulting Numbers: [78, 16] Generated Node #3: [78, 16] from Operation: 62-46=16 Current State: 94:[78, 16], Operations: ['3*26=78', '62-46=16'] Exploring Operation: 78+16=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 30, 26, 4, 81 ]
67
[ "30+26=56", "56/4=14", "81-14=67" ]
Current State: 67:[30, 26, 4, 81], Operations: [] Exploring Operation: 30+26=56, Resulting Numbers: [4, 81, 56] Generated Node #2: [4, 81, 56] from Operation: 30+26=56 Current State: 67:[4, 81, 56], Operations: ['30+26=56'] Exploring Operation: 56/4=14, Resulting Numbers: [81, 14] Generated Node #3: [81, 14] from Operation: 56/4=14 Current State: 67:[81, 14], Operations: ['30+26=56', '56/4=14'] Exploring Operation: 81-14=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 4, 97, 18, 82 ]
81
[ "82-18=64", "64/4=16", "97-16=81" ]
Current State: 81:[4, 97, 18, 82], Operations: [] Exploring Operation: 82-18=64, Resulting Numbers: [4, 97, 64] Generated Node #2: [4, 97, 64] from Operation: 82-18=64 Current State: 81:[4, 97, 64], Operations: ['82-18=64'] Exploring Operation: 64/4=16, Resulting Numbers: [97, 16] Generated Node #3: [97, 16] from Operation: 64/4=16 Current State: 81:[97, 16], Operations: ['82-18=64', '64/4=16'] Exploring Operation: 97-16=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 32, 35, 20, 98 ]
81
[ "35-32=3", "98-20=78", "3+78=81" ]
Current State: 81:[32, 35, 20, 98], Operations: [] Exploring Operation: 35-32=3, Resulting Numbers: [20, 98, 3] Generated Node #2: [20, 98, 3] from Operation: 35-32=3 Current State: 81:[20, 98, 3], Operations: ['35-32=3'] Exploring Operation: 98-20=78, Resulting Numbers: [3, 78] Generated Node #3: [3, 78] from Operation: 98-20=78 Current State: 81:[3, 78], Operations: ['35-32=3', '98-20=78'] Exploring Operation: 3+78=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 1, 35, 70, 61 ]
96
[ "1*35=35", "70+61=131", "131-35=96" ]
Current State: 96:[1, 35, 70, 61], Operations: [] Exploring Operation: 1*35=35, Resulting Numbers: [70, 61, 35] Generated Node #2: [70, 61, 35] from Operation: 1*35=35 Current State: 96:[70, 61, 35], Operations: ['1*35=35'] Exploring Operation: 70+61=131, Resulting Numbers: [35, 131] Generated Node #3: [35, 131] from Operation: 70+61=131 Current State: 96:[35, 131], Operations: ['1*35=35', '70+61=131'] Exploring Operation: 131-35=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 38, 90, 82, 79 ]
55
[ "90-38=52", "82-79=3", "52+3=55" ]
Current State: 55:[38, 90, 82, 79], Operations: [] Exploring Operation: 90-38=52, Resulting Numbers: [82, 79, 52] Generated Node #2: [82, 79, 52] from Operation: 90-38=52 Current State: 55:[82, 79, 52], Operations: ['90-38=52'] Exploring Operation: 82-79=3, Resulting Numbers: [52, 3] Generated Node #3: [52, 3] from Operation: 82-79=3 Current State: 55:[52, 3], Operations: ['90-38=52', '82-79=3'] Exploring Operation: 52+3=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 88, 63, 59, 13 ]
97
[ "88-63=25", "59+13=72", "25+72=97" ]
Current State: 97:[88, 63, 59, 13], Operations: [] Exploring Operation: 88-63=25, Resulting Numbers: [59, 13, 25] Generated Node #2: [59, 13, 25] from Operation: 88-63=25 Current State: 97:[59, 13, 25], Operations: ['88-63=25'] Exploring Operation: 59+13=72, Resulting Numbers: [25, 72] Generated Node #3: [25, 72] from Operation: 59+13=72 Current State: 97:[25, 72], Operations: ['88-63=25', '59+13=72'] Exploring Operation: 25+72=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 34, 39, 6, 69 ]
52
[ "39+69=108", "108/6=18", "34+18=52" ]
Current State: 52:[34, 39, 6, 69], Operations: [] Exploring Operation: 39+69=108, Resulting Numbers: [34, 6, 108] Generated Node #2: [34, 6, 108] from Operation: 39+69=108 Current State: 52:[34, 6, 108], Operations: ['39+69=108'] Exploring Operation: 108/6=18, Resulting Numbers: [34, 18] Generated Node #3: [34, 18] from Operation: 108/6=18 Current State: 52:[34, 18], Operations: ['39+69=108', '108/6=18'] Exploring Operation: 34+18=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 38, 82, 32, 32 ]
29
[ "82+32=114", "114/38=3", "32-3=29" ]
Current State: 29:[38, 82, 32, 32], Operations: [] Exploring Operation: 82+32=114, Resulting Numbers: [38, 114] Generated Node #2: [38, 114] from Operation: 82+32=114 Current State: 29:[38, 114], Operations: ['82+32=114'] Exploring Operation: 114/38=3, Resulting Numbers: [3] 3,29 equal: Goal Reached Exploring Operation: 32-3=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 43, 42, 19, 20 ]
35
[ "43-19=24", "42*20=840", "840/24=35" ]
Current State: 35:[43, 42, 19, 20], Operations: [] Exploring Operation: 43-19=24, Resulting Numbers: [42, 20, 24] Generated Node #2: [42, 20, 24] from Operation: 43-19=24 Current State: 35:[42, 20, 24], Operations: ['43-19=24'] Exploring Operation: 42*20=840, Resulting Numbers: [24, 840] Generated Node #3: [24, 840] from Operation: 42*20=840 Current State: 35:[24, 840], Operations: ['43-19=24', '42*20=840'] Exploring Operation: 840/24=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 80, 14, 13, 27 ]
80
[ "80+14=94", "27-13=14", "94-14=80" ]
Current State: 80:[80, 14, 13, 27], Operations: [] Exploring Operation: 80+14=94, Resulting Numbers: [13, 27, 94] Generated Node #2: [13, 27, 94] from Operation: 80+14=94 Current State: 80:[13, 27, 94], Operations: ['80+14=94'] Exploring Operation: 27-13=14, Resulting Numbers: [94, 14] Generated Node #3: [94, 14] from Operation: 27-13=14 Current State: 80:[94, 14], Operations: ['80+14=94', '27-13=14'] Exploring Operation: 94-14=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 3, 75, 98, 59 ]
10
[ "98-75=23", "3*23=69", "69-59=10" ]
Current State: 10:[3, 75, 98, 59], Operations: [] Exploring Operation: 98-75=23, Resulting Numbers: [3, 59, 23] Generated Node #2: [3, 59, 23] from Operation: 98-75=23 Current State: 10:[3, 59, 23], Operations: ['98-75=23'] Exploring Operation: 3*23=69, Resulting Numbers: [59, 69] Generated Node #3: [59, 69] from Operation: 3*23=69 Current State: 10:[59, 69], Operations: ['98-75=23', '3*23=69'] Exploring Operation: 69-59=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 76, 89, 57, 21 ]
61
[ "76*21=1596", "1596/57=28", "89-28=61" ]
Current State: 61:[76, 89, 57, 21], Operations: [] Exploring Operation: 76*21=1596, Resulting Numbers: [89, 57, 1596] Generated Node #2: [89, 57, 1596] from Operation: 76*21=1596 Current State: 61:[89, 57, 1596], Operations: ['76*21=1596'] Exploring Operation: 1596/57=28, Resulting Numbers: [89, 28] Generated Node #3: [89, 28] from Operation: 1596/57=28 Current State: 61:[89, 28], Operations: ['76*21=1596', '1596/57=28'] Exploring Operation: 89-28=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 2, 39, 3, 7 ]
48
[ "39-7=32", "32/2=16", "3*16=48" ]
Current State: 48:[2, 39, 3, 7], Operations: [] Exploring Operation: 39-7=32, Resulting Numbers: [2, 3, 32] Generated Node #2: [2, 3, 32] from Operation: 39-7=32 Current State: 48:[2, 3, 32], Operations: ['39-7=32'] Exploring Operation: 32/2=16, Resulting Numbers: [3, 16] Generated Node #3: [3, 16] from Operation: 32/2=16 Current State: 48:[3, 16], Operations: ['39-7=32', '32/2=16'] Exploring Operation: 3*16=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 39, 29, 97, 58 ]
49
[ "39-29=10", "97-58=39", "10+39=49" ]
Current State: 49:[39, 29, 97, 58], Operations: [] Exploring Operation: 39-29=10, Resulting Numbers: [97, 58, 10] Generated Node #2: [97, 58, 10] from Operation: 39-29=10 Current State: 49:[97, 58, 10], Operations: ['39-29=10'] Exploring Operation: 97-58=39, Resulting Numbers: [10, 39] Generated Node #3: [10, 39] from Operation: 97-58=39 Current State: 49:[10, 39], Operations: ['39-29=10', '97-58=39'] Exploring Operation: 10+39=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 7, 45, 52, 85 ]
86
[ "7+45=52", "52/52=1", "85+1=86" ]
Current State: 86:[7, 45, 52, 85], Operations: [] Exploring Operation: 7+45=52, Resulting Numbers: [52, 85, 52] Generated Node #2: [52, 85, 52] from Operation: 7+45=52 Current State: 86:[52, 85, 52], Operations: ['7+45=52'] Exploring Operation: 52/52=1, Resulting Numbers: [85, 1] Generated Node #3: [85, 1] from Operation: 52/52=1 Current State: 86:[85, 1], Operations: ['7+45=52', '52/52=1'] Exploring Operation: 85+1=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 53, 31, 51, 22 ]
18
[ "53-51=2", "31-22=9", "2*9=18" ]
Current State: 18:[53, 31, 51, 22], Operations: [] Exploring Operation: 53-51=2, Resulting Numbers: [31, 22, 2] Generated Node #2: [31, 22, 2] from Operation: 53-51=2 Current State: 18:[31, 22, 2], Operations: ['53-51=2'] Exploring Operation: 31-22=9, Resulting Numbers: [2, 9] Generated Node #3: [2, 9] from Operation: 31-22=9 Current State: 18:[2, 9], Operations: ['53-51=2', '31-22=9'] Exploring Operation: 2*9=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 45, 38, 51, 49 ]
81
[ "45+38=83", "51-49=2", "83-2=81" ]
Current State: 81:[45, 38, 51, 49], Operations: [] Exploring Operation: 45+38=83, Resulting Numbers: [51, 49, 83] Generated Node #2: [51, 49, 83] from Operation: 45+38=83 Current State: 81:[51, 49, 83], Operations: ['45+38=83'] Exploring Operation: 51-49=2, Resulting Numbers: [83, 2] Generated Node #3: [83, 2] from Operation: 51-49=2 Current State: 81:[83, 2], Operations: ['45+38=83', '51-49=2'] Exploring Operation: 83-2=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 70, 64, 88, 11 ]
62
[ "64*11=704", "704/88=8", "70-8=62" ]
Current State: 62:[70, 64, 88, 11], Operations: [] Exploring Operation: 64*11=704, Resulting Numbers: [70, 88, 704] Generated Node #2: [70, 88, 704] from Operation: 64*11=704 Current State: 62:[70, 88, 704], Operations: ['64*11=704'] Exploring Operation: 704/88=8, Resulting Numbers: [70, 8] Generated Node #3: [70, 8] from Operation: 704/88=8 Current State: 62:[70, 8], Operations: ['64*11=704', '704/88=8'] Exploring Operation: 70-8=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 53, 72, 30, 10 ]
21
[ "72-53=19", "30+10=40", "40-19=21" ]
Current State: 21:[53, 72, 30, 10], Operations: [] Exploring Operation: 72-53=19, Resulting Numbers: [30, 10, 19] Generated Node #2: [30, 10, 19] from Operation: 72-53=19 Current State: 21:[30, 10, 19], Operations: ['72-53=19'] Exploring Operation: 30+10=40, Resulting Numbers: [19, 40] Generated Node #3: [19, 40] from Operation: 30+10=40 Current State: 21:[19, 40], Operations: ['72-53=19', '30+10=40'] Exploring Operation: 40-19=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 93, 33, 13, 14 ]
33
[ "93-33=60", "13+14=27", "60-27=33" ]
Current State: 33:[93, 33, 13, 14], Operations: [] Exploring Operation: 93-33=60, Resulting Numbers: [13, 14, 60] Generated Node #2: [13, 14, 60] from Operation: 93-33=60 Current State: 33:[13, 14, 60], Operations: ['93-33=60'] Exploring Operation: 13+14=27, Resulting Numbers: [60, 27] Generated Node #3: [60, 27] from Operation: 13+14=27 Current State: 33:[60, 27], Operations: ['93-33=60', '13+14=27'] Exploring Operation: 60-27=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 75, 40, 29, 83 ]
89
[ "75-40=35", "83-29=54", "35+54=89" ]
Current State: 89:[75, 40, 29, 83], Operations: [] Exploring Operation: 75-40=35, Resulting Numbers: [29, 83, 35] Generated Node #2: [29, 83, 35] from Operation: 75-40=35 Current State: 89:[29, 83, 35], Operations: ['75-40=35'] Exploring Operation: 83-29=54, Resulting Numbers: [35, 54] Generated Node #3: [35, 54] from Operation: 83-29=54 Current State: 89:[35, 54], Operations: ['75-40=35', '83-29=54'] Exploring Operation: 35+54=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 91, 5, 88, 67 ]
65
[ "91-5=86", "88-67=21", "86-21=65" ]
Current State: 65:[91, 5, 88, 67], Operations: [] Exploring Operation: 91-5=86, Resulting Numbers: [88, 67, 86] Generated Node #2: [88, 67, 86] from Operation: 91-5=86 Current State: 65:[88, 67, 86], Operations: ['91-5=86'] Exploring Operation: 88-67=21, Resulting Numbers: [86, 21] Generated Node #3: [86, 21] from Operation: 88-67=21 Current State: 65:[86, 21], Operations: ['91-5=86', '88-67=21'] Exploring Operation: 86-21=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 66, 90, 29, 28 ]
81
[ "90-66=24", "29+28=57", "24+57=81" ]
Current State: 81:[66, 90, 29, 28], Operations: [] Exploring Operation: 90-66=24, Resulting Numbers: [29, 28, 24] Generated Node #2: [29, 28, 24] from Operation: 90-66=24 Current State: 81:[29, 28, 24], Operations: ['90-66=24'] Exploring Operation: 29+28=57, Resulting Numbers: [24, 57] Generated Node #3: [24, 57] from Operation: 29+28=57 Current State: 81:[24, 57], Operations: ['90-66=24', '29+28=57'] Exploring Operation: 24+57=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 96, 90, 9, 55 ]
52
[ "96-90=6", "55-9=46", "6+46=52" ]
Current State: 52:[96, 90, 9, 55], Operations: [] Exploring Operation: 96-90=6, Resulting Numbers: [9, 55, 6] Generated Node #2: [9, 55, 6] from Operation: 96-90=6 Current State: 52:[9, 55, 6], Operations: ['96-90=6'] Exploring Operation: 55-9=46, Resulting Numbers: [6, 46] Generated Node #3: [6, 46] from Operation: 55-9=46 Current State: 52:[6, 46], Operations: ['96-90=6', '55-9=46'] Exploring Operation: 6+46=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 2, 32, 86, 62 ]
23
[ "62/2=31", "86-32=54", "54-31=23" ]
Current State: 23:[2, 32, 86, 62], Operations: [] Exploring Operation: 62/2=31, Resulting Numbers: [32, 86, 31] Generated Node #2: [32, 86, 31] from Operation: 62/2=31 Current State: 23:[32, 86, 31], Operations: ['62/2=31'] Exploring Operation: 86-32=54, Resulting Numbers: [31, 54] Generated Node #3: [31, 54] from Operation: 86-32=54 Current State: 23:[31, 54], Operations: ['62/2=31', '86-32=54'] Exploring Operation: 54-31=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 89, 87, 16, 99 ]
67
[ "89-87=2", "16*2=32", "99-32=67" ]
Current State: 67:[89, 87, 16, 99], Operations: [] Exploring Operation: 89-87=2, Resulting Numbers: [16, 99, 2] Generated Node #2: [16, 99, 2] from Operation: 89-87=2 Current State: 67:[16, 99, 2], Operations: ['89-87=2'] Exploring Operation: 16*2=32, Resulting Numbers: [99, 32] Generated Node #3: [99, 32] from Operation: 16*2=32 Current State: 67:[99, 32], Operations: ['89-87=2', '16*2=32'] Exploring Operation: 99-32=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 27, 48, 71, 29 ]
47
[ "29-27=2", "48/2=24", "71-24=47" ]
Current State: 47:[27, 48, 71, 29], Operations: [] Exploring Operation: 29-27=2, Resulting Numbers: [48, 71, 2] Generated Node #2: [48, 71, 2] from Operation: 29-27=2 Current State: 47:[48, 71, 2], Operations: ['29-27=2'] Exploring Operation: 48/2=24, Resulting Numbers: [71, 24] Generated Node #3: [71, 24] from Operation: 48/2=24 Current State: 47:[71, 24], Operations: ['29-27=2', '48/2=24'] Exploring Operation: 71-24=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 27, 3, 37, 35 ]
81
[ "27/3=9", "37+35=72", "9+72=81" ]
Current State: 81:[27, 3, 37, 35], Operations: [] Exploring Operation: 27/3=9, Resulting Numbers: [37, 35, 9] Generated Node #2: [37, 35, 9] from Operation: 27/3=9 Current State: 81:[37, 35, 9], Operations: ['27/3=9'] Exploring Operation: 37+35=72, Resulting Numbers: [9, 72] Generated Node #3: [9, 72] from Operation: 37+35=72 Current State: 81:[9, 72], Operations: ['27/3=9', '37+35=72'] Exploring Operation: 9+72=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 76, 28, 2, 36 ]
54
[ "76-36=40", "28/2=14", "40+14=54" ]
Current State: 54:[76, 28, 2, 36], Operations: [] Exploring Operation: 76-36=40, Resulting Numbers: [28, 2, 40] Generated Node #2: [28, 2, 40] from Operation: 76-36=40 Current State: 54:[28, 2, 40], Operations: ['76-36=40'] Exploring Operation: 28/2=14, Resulting Numbers: [40, 14] Generated Node #3: [40, 14] from Operation: 28/2=14 Current State: 54:[40, 14], Operations: ['76-36=40', '28/2=14'] Exploring Operation: 40+14=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 49, 23, 4, 84 ]
66
[ "49+23=72", "72/4=18", "84-18=66" ]
Current State: 66:[49, 23, 4, 84], Operations: [] Exploring Operation: 49+23=72, Resulting Numbers: [4, 84, 72] Generated Node #2: [4, 84, 72] from Operation: 49+23=72 Current State: 66:[4, 84, 72], Operations: ['49+23=72'] Exploring Operation: 72/4=18, Resulting Numbers: [84, 18] Generated Node #3: [84, 18] from Operation: 72/4=18 Current State: 66:[84, 18], Operations: ['49+23=72', '72/4=18'] Exploring Operation: 84-18=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 34, 19, 87, 35 ]
69
[ "34+19=53", "87+35=122", "122-53=69" ]
Current State: 69:[34, 19, 87, 35], Operations: [] Exploring Operation: 34+19=53, Resulting Numbers: [87, 35, 53] Generated Node #2: [87, 35, 53] from Operation: 34+19=53 Current State: 69:[87, 35, 53], Operations: ['34+19=53'] Exploring Operation: 87+35=122, Resulting Numbers: [53, 122] Generated Node #3: [53, 122] from Operation: 87+35=122 Current State: 69:[53, 122], Operations: ['34+19=53', '87+35=122'] Exploring Operation: 122-53=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 87, 37, 62, 22 ]
29
[ "62-37=25", "25-22=3", "87/3=29" ]
Current State: 29:[87, 37, 62, 22], Operations: [] Exploring Operation: 62-37=25, Resulting Numbers: [87, 22, 25] Generated Node #2: [87, 22, 25] from Operation: 62-37=25 Current State: 29:[87, 22, 25], Operations: ['62-37=25'] Exploring Operation: 25-22=3, Resulting Numbers: [87, 3] Generated Node #3: [87, 3] from Operation: 25-22=3 Current State: 29:[87, 3], Operations: ['62-37=25', '25-22=3'] Exploring Operation: 87/3=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 13, 10, 69, 17 ]
88
[ "13+69=82", "10*17=170", "170-82=88" ]
Current State: 88:[13, 10, 69, 17], Operations: [] Exploring Operation: 13+69=82, Resulting Numbers: [10, 17, 82] Generated Node #2: [10, 17, 82] from Operation: 13+69=82 Current State: 88:[10, 17, 82], Operations: ['13+69=82'] Exploring Operation: 10*17=170, Resulting Numbers: [82, 170] Generated Node #3: [82, 170] from Operation: 10*17=170 Current State: 88:[82, 170], Operations: ['13+69=82', '10*17=170'] Exploring Operation: 170-82=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 78, 73, 74, 29 ]
11
[ "78-74=4", "73-29=44", "44/4=11" ]
Current State: 11:[78, 73, 74, 29], Operations: [] Exploring Operation: 78-74=4, Resulting Numbers: [73, 29, 4] Generated Node #2: [73, 29, 4] from Operation: 78-74=4 Current State: 11:[73, 29, 4], Operations: ['78-74=4'] Exploring Operation: 73-29=44, Resulting Numbers: [4, 44] Generated Node #3: [4, 44] from Operation: 73-29=44 Current State: 11:[4, 44], Operations: ['78-74=4', '73-29=44'] Exploring Operation: 44/4=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 78, 76, 91, 5 ]
58
[ "78+76=154", "91+5=96", "154-96=58" ]
Current State: 58:[78, 76, 91, 5], Operations: [] Exploring Operation: 78+76=154, Resulting Numbers: [91, 5, 154] Generated Node #2: [91, 5, 154] from Operation: 78+76=154 Current State: 58:[91, 5, 154], Operations: ['78+76=154'] Exploring Operation: 91+5=96, Resulting Numbers: [154, 96] Generated Node #3: [154, 96] from Operation: 91+5=96 Current State: 58:[154, 96], Operations: ['78+76=154', '91+5=96'] Exploring Operation: 154-96=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 98, 58, 26, 71 ]
57
[ "98-58=40", "26+71=97", "97-40=57" ]
Current State: 57:[98, 58, 26, 71], Operations: [] Exploring Operation: 98-58=40, Resulting Numbers: [26, 71, 40] Generated Node #2: [26, 71, 40] from Operation: 98-58=40 Current State: 57:[26, 71, 40], Operations: ['98-58=40'] Exploring Operation: 26+71=97, Resulting Numbers: [40, 97] Generated Node #3: [40, 97] from Operation: 26+71=97 Current State: 57:[40, 97], Operations: ['98-58=40', '26+71=97'] Exploring Operation: 97-40=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 86, 23, 56, 29 ]
22
[ "86-23=63", "56+29=85", "85-63=22" ]
Current State: 22:[86, 23, 56, 29], Operations: [] Exploring Operation: 86-23=63, Resulting Numbers: [56, 29, 63] Generated Node #2: [56, 29, 63] from Operation: 86-23=63 Current State: 22:[56, 29, 63], Operations: ['86-23=63'] Exploring Operation: 56+29=85, Resulting Numbers: [63, 85] Generated Node #3: [63, 85] from Operation: 56+29=85 Current State: 22:[63, 85], Operations: ['86-23=63', '56+29=85'] Exploring Operation: 85-63=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 48, 72, 8, 21 ]
60
[ "48+21=69", "72/8=9", "69-9=60" ]
Current State: 60:[48, 72, 8, 21], Operations: [] Exploring Operation: 48+21=69, Resulting Numbers: [72, 8, 69] Generated Node #2: [72, 8, 69] from Operation: 48+21=69 Current State: 60:[72, 8, 69], Operations: ['48+21=69'] Exploring Operation: 72/8=9, Resulting Numbers: [69, 9] Generated Node #3: [69, 9] from Operation: 72/8=9 Current State: 60:[69, 9], Operations: ['48+21=69', '72/8=9'] Exploring Operation: 69-9=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 82, 47, 80, 39 ]
92
[ "47-39=8", "80/8=10", "82+10=92" ]
Current State: 92:[82, 47, 80, 39], Operations: [] Exploring Operation: 47-39=8, Resulting Numbers: [82, 80, 8] Generated Node #2: [82, 80, 8] from Operation: 47-39=8 Current State: 92:[82, 80, 8], Operations: ['47-39=8'] Exploring Operation: 80/8=10, Resulting Numbers: [82, 10] Generated Node #3: [82, 10] from Operation: 80/8=10 Current State: 92:[82, 10], Operations: ['47-39=8', '80/8=10'] Exploring Operation: 82+10=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 84, 63, 63, 59 ]
56
[ "84-63=21", "63/21=3", "59-3=56" ]
Current State: 56:[84, 63, 63, 59], Operations: [] Exploring Operation: 84-63=21, Resulting Numbers: [59, 21] Generated Node #2: [59, 21] from Operation: 84-63=21 Current State: 56:[59, 21], Operations: ['84-63=21'] Exploring Operation: 63/21=3, Resulting Numbers: [59, 3] Generated Node #3: [59, 3] from Operation: 63/21=3 Current State: 56:[59, 3], Operations: ['84-63=21', '63/21=3'] Exploring Operation: 59-3=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 43, 2, 4, 91 ]
50
[ "43+2=45", "4+91=95", "95-45=50" ]
Current State: 50:[43, 2, 4, 91], Operations: [] Exploring Operation: 43+2=45, Resulting Numbers: [4, 91, 45] Generated Node #2: [4, 91, 45] from Operation: 43+2=45 Current State: 50:[4, 91, 45], Operations: ['43+2=45'] Exploring Operation: 4+91=95, Resulting Numbers: [45, 95] Generated Node #3: [45, 95] from Operation: 4+91=95 Current State: 50:[45, 95], Operations: ['43+2=45', '4+91=95'] Exploring Operation: 95-45=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 38, 47, 4, 92 ]
28
[ "38+47=85", "92-85=7", "4*7=28" ]
Current State: 28:[38, 47, 4, 92], Operations: [] Exploring Operation: 38+47=85, Resulting Numbers: [4, 92, 85] Generated Node #2: [4, 92, 85] from Operation: 38+47=85 Current State: 28:[4, 92, 85], Operations: ['38+47=85'] Exploring Operation: 92-85=7, Resulting Numbers: [4, 7] Generated Node #3: [4, 7] from Operation: 92-85=7 Current State: 28:[4, 7], Operations: ['38+47=85', '92-85=7'] Exploring Operation: 4*7=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 95, 43, 55, 46 ]
49
[ "95-43=52", "55+46=101", "101-52=49" ]
Current State: 49:[95, 43, 55, 46], Operations: [] Exploring Operation: 95-43=52, Resulting Numbers: [55, 46, 52] Generated Node #2: [55, 46, 52] from Operation: 95-43=52 Current State: 49:[55, 46, 52], Operations: ['95-43=52'] Exploring Operation: 55+46=101, Resulting Numbers: [52, 101] Generated Node #3: [52, 101] from Operation: 55+46=101 Current State: 49:[52, 101], Operations: ['95-43=52', '55+46=101'] Exploring Operation: 101-52=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 65, 72, 8, 52 ]
52
[ "72-65=7", "8-7=1", "52*1=52" ]
Current State: 52:[65, 72, 8, 52], Operations: [] Exploring Operation: 72-65=7, Resulting Numbers: [8, 52, 7] Generated Node #2: [8, 52, 7] from Operation: 72-65=7 Current State: 52:[8, 52, 7], Operations: ['72-65=7'] Exploring Operation: 8-7=1, Resulting Numbers: [52, 1] Generated Node #3: [52, 1] from Operation: 8-7=1 Current State: 52:[52, 1], Operations: ['72-65=7', '8-7=1'] Exploring Operation: 52*1=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 72, 46, 27, 38 ]
53
[ "72+46=118", "27+38=65", "118-65=53" ]
Current State: 53:[72, 46, 27, 38], Operations: [] Exploring Operation: 72+46=118, Resulting Numbers: [27, 38, 118] Generated Node #2: [27, 38, 118] from Operation: 72+46=118 Current State: 53:[27, 38, 118], Operations: ['72+46=118'] Exploring Operation: 27+38=65, Resulting Numbers: [118, 65] Generated Node #3: [118, 65] from Operation: 27+38=65 Current State: 53:[118, 65], Operations: ['72+46=118', '27+38=65'] Exploring Operation: 118-65=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 83, 7, 2, 4 ]
22
[ "83+7=90", "90-2=88", "88/4=22" ]
Current State: 22:[83, 7, 2, 4], Operations: [] Exploring Operation: 83+7=90, Resulting Numbers: [2, 4, 90] Generated Node #2: [2, 4, 90] from Operation: 83+7=90 Current State: 22:[2, 4, 90], Operations: ['83+7=90'] Exploring Operation: 90-2=88, Resulting Numbers: [4, 88] Generated Node #3: [4, 88] from Operation: 90-2=88 Current State: 22:[4, 88], Operations: ['83+7=90', '90-2=88'] Exploring Operation: 88/4=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 3, 17, 53, 11 ]
84
[ "3+17=20", "53+11=64", "20+64=84" ]
Current State: 84:[3, 17, 53, 11], Operations: [] Exploring Operation: 3+17=20, Resulting Numbers: [53, 11, 20] Generated Node #2: [53, 11, 20] from Operation: 3+17=20 Current State: 84:[53, 11, 20], Operations: ['3+17=20'] Exploring Operation: 53+11=64, Resulting Numbers: [20, 64] Generated Node #3: [20, 64] from Operation: 53+11=64 Current State: 84:[20, 64], Operations: ['3+17=20', '53+11=64'] Exploring Operation: 20+64=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 51, 96, 69, 66 ]
15
[ "96-51=45", "69-66=3", "45/3=15" ]
Current State: 15:[51, 96, 69, 66], Operations: [] Exploring Operation: 96-51=45, Resulting Numbers: [69, 66, 45] Generated Node #2: [69, 66, 45] from Operation: 96-51=45 Current State: 15:[69, 66, 45], Operations: ['96-51=45'] Exploring Operation: 69-66=3, Resulting Numbers: [45, 3] Generated Node #3: [45, 3] from Operation: 69-66=3 Current State: 15:[45, 3], Operations: ['96-51=45', '69-66=3'] Exploring Operation: 45/3=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 90, 7, 62, 21 ]
17
[ "90-62=28", "28/7=4", "21-4=17" ]
Current State: 17:[90, 7, 62, 21], Operations: [] Exploring Operation: 90-62=28, Resulting Numbers: [7, 21, 28] Generated Node #2: [7, 21, 28] from Operation: 90-62=28 Current State: 17:[7, 21, 28], Operations: ['90-62=28'] Exploring Operation: 28/7=4, Resulting Numbers: [21, 4] Generated Node #3: [21, 4] from Operation: 28/7=4 Current State: 17:[21, 4], Operations: ['90-62=28', '28/7=4'] Exploring Operation: 21-4=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 32, 44, 1, 56 ]
20
[ "32+44=76", "1*56=56", "76-56=20" ]
Current State: 20:[32, 44, 1, 56], Operations: [] Exploring Operation: 32+44=76, Resulting Numbers: [1, 56, 76] Generated Node #2: [1, 56, 76] from Operation: 32+44=76 Current State: 20:[1, 56, 76], Operations: ['32+44=76'] Exploring Operation: 1*56=56, Resulting Numbers: [76, 56] Generated Node #3: [76, 56] from Operation: 1*56=56 Current State: 20:[76, 56], Operations: ['32+44=76', '1*56=56'] Exploring Operation: 76-56=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 4, 70, 60, 88 ]
45
[ "70-4=66", "60*66=3960", "3960/88=45" ]
Current State: 45:[4, 70, 60, 88], Operations: [] Exploring Operation: 70-4=66, Resulting Numbers: [60, 88, 66] Generated Node #2: [60, 88, 66] from Operation: 70-4=66 Current State: 45:[60, 88, 66], Operations: ['70-4=66'] Exploring Operation: 60*66=3960, Resulting Numbers: [88, 3960] Generated Node #3: [88, 3960] from Operation: 60*66=3960 Current State: 45:[88, 3960], Operations: ['70-4=66', '60*66=3960'] Exploring Operation: 3960/88=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 2, 51, 23, 80 ]
50
[ "2+51=53", "23+80=103", "103-53=50" ]
Current State: 50:[2, 51, 23, 80], Operations: [] Exploring Operation: 2+51=53, Resulting Numbers: [23, 80, 53] Generated Node #2: [23, 80, 53] from Operation: 2+51=53 Current State: 50:[23, 80, 53], Operations: ['2+51=53'] Exploring Operation: 23+80=103, Resulting Numbers: [53, 103] Generated Node #3: [53, 103] from Operation: 23+80=103 Current State: 50:[53, 103], Operations: ['2+51=53', '23+80=103'] Exploring Operation: 103-53=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 9, 52, 34, 11 ]
13
[ "9*11=99", "52+34=86", "99-86=13" ]
Current State: 13:[9, 52, 34, 11], Operations: [] Exploring Operation: 9*11=99, Resulting Numbers: [52, 34, 99] Generated Node #2: [52, 34, 99] from Operation: 9*11=99 Current State: 13:[52, 34, 99], Operations: ['9*11=99'] Exploring Operation: 52+34=86, Resulting Numbers: [99, 86] Generated Node #3: [99, 86] from Operation: 52+34=86 Current State: 13:[99, 86], Operations: ['9*11=99', '52+34=86'] Exploring Operation: 99-86=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 57, 51, 37, 97 ]
61
[ "51+97=148", "148/37=4", "57+4=61" ]
Current State: 61:[57, 51, 37, 97], Operations: [] Exploring Operation: 51+97=148, Resulting Numbers: [57, 37, 148] Generated Node #2: [57, 37, 148] from Operation: 51+97=148 Current State: 61:[57, 37, 148], Operations: ['51+97=148'] Exploring Operation: 148/37=4, Resulting Numbers: [57, 4] Generated Node #3: [57, 4] from Operation: 148/37=4 Current State: 61:[57, 4], Operations: ['51+97=148', '148/37=4'] Exploring Operation: 57+4=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 48, 15, 36, 93 ]
96
[ "48-15=33", "36+93=129", "129-33=96" ]
Current State: 96:[48, 15, 36, 93], Operations: [] Exploring Operation: 48-15=33, Resulting Numbers: [36, 93, 33] Generated Node #2: [36, 93, 33] from Operation: 48-15=33 Current State: 96:[36, 93, 33], Operations: ['48-15=33'] Exploring Operation: 36+93=129, Resulting Numbers: [33, 129] Generated Node #3: [33, 129] from Operation: 36+93=129 Current State: 96:[33, 129], Operations: ['48-15=33', '36+93=129'] Exploring Operation: 129-33=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 13, 60, 84, 73 ]
84
[ "13+60=73", "84+73=157", "157-73=84" ]
Current State: 84:[13, 60, 84, 73], Operations: [] Exploring Operation: 13+60=73, Resulting Numbers: [84, 73, 73] Generated Node #2: [84, 73, 73] from Operation: 13+60=73 Current State: 84:[84, 73, 73], Operations: ['13+60=73'] Exploring Operation: 84+73=157, Resulting Numbers: [157] 157,84 equal: Goal Reached Exploring Operation: 157-73=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 38, 60, 36, 14 ]
44
[ "60-38=22", "36-14=22", "22+22=44" ]
Current State: 44:[38, 60, 36, 14], Operations: [] Exploring Operation: 60-38=22, Resulting Numbers: [36, 14, 22] Generated Node #2: [36, 14, 22] from Operation: 60-38=22 Current State: 44:[36, 14, 22], Operations: ['60-38=22'] Exploring Operation: 36-14=22, Resulting Numbers: [22, 22] Generated Node #3: [22, 22] from Operation: 36-14=22 Current State: 44:[22, 22], Operations: ['60-38=22', '36-14=22'] Exploring Operation: 22+22=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 72, 11, 52, 17 ]
96
[ "72-11=61", "52-17=35", "61+35=96" ]
Current State: 96:[72, 11, 52, 17], Operations: [] Exploring Operation: 72-11=61, Resulting Numbers: [52, 17, 61] Generated Node #2: [52, 17, 61] from Operation: 72-11=61 Current State: 96:[52, 17, 61], Operations: ['72-11=61'] Exploring Operation: 52-17=35, Resulting Numbers: [61, 35] Generated Node #3: [61, 35] from Operation: 52-17=35 Current State: 96:[61, 35], Operations: ['72-11=61', '52-17=35'] Exploring Operation: 61+35=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 88, 64, 50, 39 ]
72
[ "50-39=11", "88/11=8", "64+8=72" ]
Current State: 72:[88, 64, 50, 39], Operations: [] Exploring Operation: 50-39=11, Resulting Numbers: [88, 64, 11] Generated Node #2: [88, 64, 11] from Operation: 50-39=11 Current State: 72:[88, 64, 11], Operations: ['50-39=11'] Exploring Operation: 88/11=8, Resulting Numbers: [64, 8] Generated Node #3: [64, 8] from Operation: 88/11=8 Current State: 72:[64, 8], Operations: ['50-39=11', '88/11=8'] Exploring Operation: 64+8=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 50, 87, 77, 40 ]
46
[ "87-77=10", "40/10=4", "50-4=46" ]
Current State: 46:[50, 87, 77, 40], Operations: [] Exploring Operation: 87-77=10, Resulting Numbers: [50, 40, 10] Generated Node #2: [50, 40, 10] from Operation: 87-77=10 Current State: 46:[50, 40, 10], Operations: ['87-77=10'] Exploring Operation: 40/10=4, Resulting Numbers: [50, 4] Generated Node #3: [50, 4] from Operation: 40/10=4 Current State: 46:[50, 4], Operations: ['87-77=10', '40/10=4'] Exploring Operation: 50-4=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 52, 49, 23, 77 ]
51
[ "52-49=3", "77-23=54", "54-3=51" ]
Current State: 51:[52, 49, 23, 77], Operations: [] Exploring Operation: 52-49=3, Resulting Numbers: [23, 77, 3] Generated Node #2: [23, 77, 3] from Operation: 52-49=3 Current State: 51:[23, 77, 3], Operations: ['52-49=3'] Exploring Operation: 77-23=54, Resulting Numbers: [3, 54] Generated Node #3: [3, 54] from Operation: 77-23=54 Current State: 51:[3, 54], Operations: ['52-49=3', '77-23=54'] Exploring Operation: 54-3=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 62, 29, 52, 33 ]
75
[ "33-29=4", "52/4=13", "62+13=75" ]
Current State: 75:[62, 29, 52, 33], Operations: [] Exploring Operation: 33-29=4, Resulting Numbers: [62, 52, 4] Generated Node #2: [62, 52, 4] from Operation: 33-29=4 Current State: 75:[62, 52, 4], Operations: ['33-29=4'] Exploring Operation: 52/4=13, Resulting Numbers: [62, 13] Generated Node #3: [62, 13] from Operation: 52/4=13 Current State: 75:[62, 13], Operations: ['33-29=4', '52/4=13'] Exploring Operation: 62+13=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 7, 62, 68, 72 ]
90
[ "72-68=4", "7*4=28", "62+28=90" ]
Current State: 90:[7, 62, 68, 72], Operations: [] Exploring Operation: 72-68=4, Resulting Numbers: [7, 62, 4] Generated Node #2: [7, 62, 4] from Operation: 72-68=4 Current State: 90:[7, 62, 4], Operations: ['72-68=4'] Exploring Operation: 7*4=28, Resulting Numbers: [62, 28] Generated Node #3: [62, 28] from Operation: 7*4=28 Current State: 90:[62, 28], Operations: ['72-68=4', '7*4=28'] Exploring Operation: 62+28=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 87, 19, 57, 48 ]
16
[ "87+57=144", "144/48=3", "19-3=16" ]
Current State: 16:[87, 19, 57, 48], Operations: [] Exploring Operation: 87+57=144, Resulting Numbers: [19, 48, 144] Generated Node #2: [19, 48, 144] from Operation: 87+57=144 Current State: 16:[19, 48, 144], Operations: ['87+57=144'] Exploring Operation: 144/48=3, Resulting Numbers: [19, 3] Generated Node #3: [19, 3] from Operation: 144/48=3 Current State: 16:[19, 3], Operations: ['87+57=144', '144/48=3'] Exploring Operation: 19-3=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 54, 66, 3, 65 ]
50
[ "66-54=12", "65-3=62", "62-12=50" ]
Current State: 50:[54, 66, 3, 65], Operations: [] Exploring Operation: 66-54=12, Resulting Numbers: [3, 65, 12] Generated Node #2: [3, 65, 12] from Operation: 66-54=12 Current State: 50:[3, 65, 12], Operations: ['66-54=12'] Exploring Operation: 65-3=62, Resulting Numbers: [12, 62] Generated Node #3: [12, 62] from Operation: 65-3=62 Current State: 50:[12, 62], Operations: ['66-54=12', '65-3=62'] Exploring Operation: 62-12=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 37, 84, 33, 76 ]
78
[ "37+84=121", "76-33=43", "121-43=78" ]
Current State: 78:[37, 84, 33, 76], Operations: [] Exploring Operation: 37+84=121, Resulting Numbers: [33, 76, 121] Generated Node #2: [33, 76, 121] from Operation: 37+84=121 Current State: 78:[33, 76, 121], Operations: ['37+84=121'] Exploring Operation: 76-33=43, Resulting Numbers: [121, 43] Generated Node #3: [121, 43] from Operation: 76-33=43 Current State: 78:[121, 43], Operations: ['37+84=121', '76-33=43'] Exploring Operation: 121-43=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 67, 35, 65, 89 ]
27
[ "67-65=2", "89-35=54", "54/2=27" ]
Current State: 27:[67, 35, 65, 89], Operations: [] Exploring Operation: 67-65=2, Resulting Numbers: [35, 89, 2] Generated Node #2: [35, 89, 2] from Operation: 67-65=2 Current State: 27:[35, 89, 2], Operations: ['67-65=2'] Exploring Operation: 89-35=54, Resulting Numbers: [2, 54] Generated Node #3: [2, 54] from Operation: 89-35=54 Current State: 27:[2, 54], Operations: ['67-65=2', '89-35=54'] Exploring Operation: 54/2=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 63, 74, 56, 16 ]
83
[ "74-63=11", "56+16=72", "11+72=83" ]
Current State: 83:[63, 74, 56, 16], Operations: [] Exploring Operation: 74-63=11, Resulting Numbers: [56, 16, 11] Generated Node #2: [56, 16, 11] from Operation: 74-63=11 Current State: 83:[56, 16, 11], Operations: ['74-63=11'] Exploring Operation: 56+16=72, Resulting Numbers: [11, 72] Generated Node #3: [11, 72] from Operation: 56+16=72 Current State: 83:[11, 72], Operations: ['74-63=11', '56+16=72'] Exploring Operation: 11+72=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 81, 1, 44, 40 ]
76
[ "81-1=80", "44-40=4", "80-4=76" ]
Current State: 76:[81, 1, 44, 40], Operations: [] Exploring Operation: 81-1=80, Resulting Numbers: [44, 40, 80] Generated Node #2: [44, 40, 80] from Operation: 81-1=80 Current State: 76:[44, 40, 80], Operations: ['81-1=80'] Exploring Operation: 44-40=4, Resulting Numbers: [80, 4] Generated Node #3: [80, 4] from Operation: 44-40=4 Current State: 76:[80, 4], Operations: ['81-1=80', '44-40=4'] Exploring Operation: 80-4=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 30, 16, 80, 38 ]
63
[ "30+38=68", "80/16=5", "68-5=63" ]
Current State: 63:[30, 16, 80, 38], Operations: [] Exploring Operation: 30+38=68, Resulting Numbers: [16, 80, 68] Generated Node #2: [16, 80, 68] from Operation: 30+38=68 Current State: 63:[16, 80, 68], Operations: ['30+38=68'] Exploring Operation: 80/16=5, Resulting Numbers: [68, 5] Generated Node #3: [68, 5] from Operation: 80/16=5 Current State: 63:[68, 5], Operations: ['30+38=68', '80/16=5'] Exploring Operation: 68-5=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 13, 75, 8, 43 ]
68
[ "13+43=56", "56/8=7", "75-7=68" ]
Current State: 68:[13, 75, 8, 43], Operations: [] Exploring Operation: 13+43=56, Resulting Numbers: [75, 8, 56] Generated Node #2: [75, 8, 56] from Operation: 13+43=56 Current State: 68:[75, 8, 56], Operations: ['13+43=56'] Exploring Operation: 56/8=7, Resulting Numbers: [75, 7] Generated Node #3: [75, 7] from Operation: 56/8=7 Current State: 68:[75, 7], Operations: ['13+43=56', '56/8=7'] Exploring Operation: 75-7=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 38, 73, 2, 10 ]
44
[ "38/2=19", "73-10=63", "63-19=44" ]
Current State: 44:[38, 73, 2, 10], Operations: [] Exploring Operation: 38/2=19, Resulting Numbers: [73, 10, 19] Generated Node #2: [73, 10, 19] from Operation: 38/2=19 Current State: 44:[73, 10, 19], Operations: ['38/2=19'] Exploring Operation: 73-10=63, Resulting Numbers: [19, 63] Generated Node #3: [19, 63] from Operation: 73-10=63 Current State: 44:[19, 63], Operations: ['38/2=19', '73-10=63'] Exploring Operation: 63-19=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 57, 45, 78, 14 ]
38
[ "57+45=102", "78-14=64", "102-64=38" ]
Current State: 38:[57, 45, 78, 14], Operations: [] Exploring Operation: 57+45=102, Resulting Numbers: [78, 14, 102] Generated Node #2: [78, 14, 102] from Operation: 57+45=102 Current State: 38:[78, 14, 102], Operations: ['57+45=102'] Exploring Operation: 78-14=64, Resulting Numbers: [102, 64] Generated Node #3: [102, 64] from Operation: 78-14=64 Current State: 38:[102, 64], Operations: ['57+45=102', '78-14=64'] Exploring Operation: 102-64=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 2, 36, 38, 48 ]
12
[ "36-2=34", "38-34=4", "48/4=12" ]
Current State: 12:[2, 36, 38, 48], Operations: [] Exploring Operation: 36-2=34, Resulting Numbers: [38, 48, 34] Generated Node #2: [38, 48, 34] from Operation: 36-2=34 Current State: 12:[38, 48, 34], Operations: ['36-2=34'] Exploring Operation: 38-34=4, Resulting Numbers: [48, 4] Generated Node #3: [48, 4] from Operation: 38-34=4 Current State: 12:[48, 4], Operations: ['36-2=34', '38-34=4'] Exploring Operation: 48/4=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 97, 9, 32, 40 ]
89
[ "32+40=72", "72/9=8", "97-8=89" ]
Current State: 89:[97, 9, 32, 40], Operations: [] Exploring Operation: 32+40=72, Resulting Numbers: [97, 9, 72] Generated Node #2: [97, 9, 72] from Operation: 32+40=72 Current State: 89:[97, 9, 72], Operations: ['32+40=72'] Exploring Operation: 72/9=8, Resulting Numbers: [97, 8] Generated Node #3: [97, 8] from Operation: 72/9=8 Current State: 89:[97, 8], Operations: ['32+40=72', '72/9=8'] Exploring Operation: 97-8=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 2, 66, 53, 19 ]
59
[ "2*53=106", "66-19=47", "106-47=59" ]
Current State: 59:[2, 66, 53, 19], Operations: [] Exploring Operation: 2*53=106, Resulting Numbers: [66, 19, 106] Generated Node #2: [66, 19, 106] from Operation: 2*53=106 Current State: 59:[66, 19, 106], Operations: ['2*53=106'] Exploring Operation: 66-19=47, Resulting Numbers: [106, 47] Generated Node #3: [106, 47] from Operation: 66-19=47 Current State: 59:[106, 47], Operations: ['2*53=106', '66-19=47'] Exploring Operation: 106-47=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 10, 94, 70, 20 ]
98
[ "10+70=80", "80/20=4", "94+4=98" ]
Current State: 98:[10, 94, 70, 20], Operations: [] Exploring Operation: 10+70=80, Resulting Numbers: [94, 20, 80] Generated Node #2: [94, 20, 80] from Operation: 10+70=80 Current State: 98:[94, 20, 80], Operations: ['10+70=80'] Exploring Operation: 80/20=4, Resulting Numbers: [94, 4] Generated Node #3: [94, 4] from Operation: 80/20=4 Current State: 98:[94, 4], Operations: ['10+70=80', '80/20=4'] Exploring Operation: 94+4=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 55, 85, 11, 10 ]
19
[ "55/11=5", "85+10=95", "95/5=19" ]
Current State: 19:[55, 85, 11, 10], Operations: [] Exploring Operation: 55/11=5, Resulting Numbers: [85, 10, 5] Generated Node #2: [85, 10, 5] from Operation: 55/11=5 Current State: 19:[85, 10, 5], Operations: ['55/11=5'] Exploring Operation: 85+10=95, Resulting Numbers: [5, 95] Generated Node #3: [5, 95] from Operation: 85+10=95 Current State: 19:[5, 95], Operations: ['55/11=5', '85+10=95'] Exploring Operation: 95/5=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 9, 51, 33, 85 ]
87
[ "51-33=18", "18/9=2", "85+2=87" ]
Current State: 87:[9, 51, 33, 85], Operations: [] Exploring Operation: 51-33=18, Resulting Numbers: [9, 85, 18] Generated Node #2: [9, 85, 18] from Operation: 51-33=18 Current State: 87:[9, 85, 18], Operations: ['51-33=18'] Exploring Operation: 18/9=2, Resulting Numbers: [85, 2] Generated Node #3: [85, 2] from Operation: 18/9=2 Current State: 87:[85, 2], Operations: ['51-33=18', '18/9=2'] Exploring Operation: 85+2=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 72, 21, 7, 77 ]
70
[ "77-72=5", "21-7=14", "5*14=70" ]
Current State: 70:[72, 21, 7, 77], Operations: [] Exploring Operation: 77-72=5, Resulting Numbers: [21, 7, 5] Generated Node #2: [21, 7, 5] from Operation: 77-72=5 Current State: 70:[21, 7, 5], Operations: ['77-72=5'] Exploring Operation: 21-7=14, Resulting Numbers: [5, 14] Generated Node #3: [5, 14] from Operation: 21-7=14 Current State: 70:[5, 14], Operations: ['77-72=5', '21-7=14'] Exploring Operation: 5*14=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 6, 2, 69, 2 ]
85
[ "6+2=8", "2*8=16", "69+16=85" ]
Current State: 85:[6, 2, 69, 2], Operations: [] Exploring Operation: 6+2=8, Resulting Numbers: [69, 8] Generated Node #2: [69, 8] from Operation: 6+2=8 Current State: 85:[69, 8], Operations: ['6+2=8'] Exploring Operation: 2*8=16, Resulting Numbers: [69, 16] Generated Node #3: [69, 16] from Operation: 2*8=16 Current State: 85:[69, 16], Operations: ['6+2=8', '2*8=16'] Exploring Operation: 69+16=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 79, 56, 19, 49 ]
28
[ "79+19=98", "56*49=2744", "2744/98=28" ]
Current State: 28:[79, 56, 19, 49], Operations: [] Exploring Operation: 79+19=98, Resulting Numbers: [56, 49, 98] Generated Node #2: [56, 49, 98] from Operation: 79+19=98 Current State: 28:[56, 49, 98], Operations: ['79+19=98'] Exploring Operation: 56*49=2744, Resulting Numbers: [98, 2744] Generated Node #3: [98, 2744] from Operation: 56*49=2744 Current State: 28:[98, 2744], Operations: ['79+19=98', '56*49=2744'] Exploring Operation: 2744/98=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 95, 28, 32, 71 ]
96
[ "95-71=24", "32-28=4", "24*4=96" ]
Current State: 96:[95, 28, 32, 71], Operations: [] Exploring Operation: 95-71=24, Resulting Numbers: [28, 32, 24] Generated Node #2: [28, 32, 24] from Operation: 95-71=24 Current State: 96:[28, 32, 24], Operations: ['95-71=24'] Exploring Operation: 32-28=4, Resulting Numbers: [24, 4] Generated Node #3: [24, 4] from Operation: 32-28=4 Current State: 96:[24, 4], Operations: ['95-71=24', '32-28=4'] Exploring Operation: 24*4=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 11, 26, 22, 7 ]
31
[ "22/11=2", "26+7=33", "33-2=31" ]
Current State: 31:[11, 26, 22, 7], Operations: [] Exploring Operation: 22/11=2, Resulting Numbers: [26, 7, 2] Generated Node #2: [26, 7, 2] from Operation: 22/11=2 Current State: 31:[26, 7, 2], Operations: ['22/11=2'] Exploring Operation: 26+7=33, Resulting Numbers: [2, 33] Generated Node #3: [2, 33] from Operation: 26+7=33 Current State: 31:[2, 33], Operations: ['22/11=2', '26+7=33'] Exploring Operation: 33-2=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 82, 73, 10, 97 ]
96
[ "82-73=9", "97-10=87", "9+87=96" ]
Current State: 96:[82, 73, 10, 97], Operations: [] Exploring Operation: 82-73=9, Resulting Numbers: [10, 97, 9] Generated Node #2: [10, 97, 9] from Operation: 82-73=9 Current State: 96:[10, 97, 9], Operations: ['82-73=9'] Exploring Operation: 97-10=87, Resulting Numbers: [9, 87] Generated Node #3: [9, 87] from Operation: 97-10=87 Current State: 96:[9, 87], Operations: ['82-73=9', '97-10=87'] Exploring Operation: 9+87=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 7, 22, 53, 27 ]
41
[ "22-7=15", "53-27=26", "15+26=41" ]
Current State: 41:[7, 22, 53, 27], Operations: [] Exploring Operation: 22-7=15, Resulting Numbers: [53, 27, 15] Generated Node #2: [53, 27, 15] from Operation: 22-7=15 Current State: 41:[53, 27, 15], Operations: ['22-7=15'] Exploring Operation: 53-27=26, Resulting Numbers: [15, 26] Generated Node #3: [15, 26] from Operation: 53-27=26 Current State: 41:[15, 26], Operations: ['22-7=15', '53-27=26'] Exploring Operation: 15+26=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 14, 9, 7, 67 ]
49
[ "14*9=126", "126/7=18", "67-18=49" ]
Current State: 49:[14, 9, 7, 67], Operations: [] Exploring Operation: 14*9=126, Resulting Numbers: [7, 67, 126] Generated Node #2: [7, 67, 126] from Operation: 14*9=126 Current State: 49:[7, 67, 126], Operations: ['14*9=126'] Exploring Operation: 126/7=18, Resulting Numbers: [67, 18] Generated Node #3: [67, 18] from Operation: 126/7=18 Current State: 49:[67, 18], Operations: ['14*9=126', '126/7=18'] Exploring Operation: 67-18=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 16, 57, 20, 87 ]
11
[ "57+87=144", "144/16=9", "20-9=11" ]
Current State: 11:[16, 57, 20, 87], Operations: [] Exploring Operation: 57+87=144, Resulting Numbers: [16, 20, 144] Generated Node #2: [16, 20, 144] from Operation: 57+87=144 Current State: 11:[16, 20, 144], Operations: ['57+87=144'] Exploring Operation: 144/16=9, Resulting Numbers: [20, 9] Generated Node #3: [20, 9] from Operation: 144/16=9 Current State: 11:[20, 9], Operations: ['57+87=144', '144/16=9'] Exploring Operation: 20-9=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 84, 73, 20, 12 ]
19
[ "84-73=11", "20-12=8", "11+8=19" ]
Current State: 19:[84, 73, 20, 12], Operations: [] Exploring Operation: 84-73=11, Resulting Numbers: [20, 12, 11] Generated Node #2: [20, 12, 11] from Operation: 84-73=11 Current State: 19:[20, 12, 11], Operations: ['84-73=11'] Exploring Operation: 20-12=8, Resulting Numbers: [11, 8] Generated Node #3: [11, 8] from Operation: 20-12=8 Current State: 19:[11, 8], Operations: ['84-73=11', '20-12=8'] Exploring Operation: 11+8=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 18, 88, 11, 15 ]
17
[ "18-11=7", "15*7=105", "105-88=17" ]
Current State: 17:[18, 88, 11, 15], Operations: [] Exploring Operation: 18-11=7, Resulting Numbers: [88, 15, 7] Generated Node #2: [88, 15, 7] from Operation: 18-11=7 Current State: 17:[88, 15, 7], Operations: ['18-11=7'] Exploring Operation: 15*7=105, Resulting Numbers: [88, 105] Generated Node #3: [88, 105] from Operation: 15*7=105 Current State: 17:[88, 105], Operations: ['18-11=7', '15*7=105'] Exploring Operation: 105-88=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 38, 75, 73, 7 ]
47
[ "38+75=113", "73-7=66", "113-66=47" ]
Current State: 47:[38, 75, 73, 7], Operations: [] Exploring Operation: 38+75=113, Resulting Numbers: [73, 7, 113] Generated Node #2: [73, 7, 113] from Operation: 38+75=113 Current State: 47:[73, 7, 113], Operations: ['38+75=113'] Exploring Operation: 73-7=66, Resulting Numbers: [113, 66] Generated Node #3: [113, 66] from Operation: 73-7=66 Current State: 47:[113, 66], Operations: ['38+75=113', '73-7=66'] Exploring Operation: 113-66=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4