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
[ 58, 28, 26, 71 ]
74
[ "58+26=84", "84/28=3", "71+3=74" ]
Current State: 74:[58, 28, 26, 71], Operations: [] Exploring Operation: 58+26=84, Resulting Numbers: [28, 71, 84] Generated Node #2: [28, 71, 84] from Operation: 58+26=84 Current State: 74:[28, 71, 84], Operations: ['58+26=84'] Exploring Operation: 84/28=3, Resulting Numbers: [71, 3] Generated Node #3: [71, 3] from Operation: 84/28=3 Current State: 74:[71, 3], Operations: ['58+26=84', '84/28=3'] Exploring Operation: 71+3=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 13, 42, 61, 3 ]
96
[ "42-13=29", "61-29=32", "3*32=96" ]
Current State: 96:[13, 42, 61, 3], Operations: [] Exploring Operation: 42-13=29, Resulting Numbers: [61, 3, 29] Generated Node #2: [61, 3, 29] from Operation: 42-13=29 Current State: 96:[61, 3, 29], Operations: ['42-13=29'] Exploring Operation: 61-29=32, Resulting Numbers: [3, 32] Generated Node #3: [3, 32] from Operation: 61-29=32 Current State: 96:[3, 32], Operations: ['42-13=29', '61-29=32'] Exploring Operation: 3*32=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 2, 68, 66, 1 ]
65
[ "2*66=132", "68-1=67", "132-67=65" ]
Current State: 65:[2, 68, 66, 1], Operations: [] Exploring Operation: 2*66=132, Resulting Numbers: [68, 1, 132] Generated Node #2: [68, 1, 132] from Operation: 2*66=132 Current State: 65:[68, 1, 132], Operations: ['2*66=132'] Exploring Operation: 68-1=67, Resulting Numbers: [132, 67] Generated Node #3: [132, 67] from Operation: 68-1=67 Current State: 65:[132, 67], Operations: ['2*66=132', '68-1=67'] Exploring Operation: 132-67=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 54, 10, 42, 21 ]
34
[ "10*42=420", "420/21=20", "54-20=34" ]
Current State: 34:[54, 10, 42, 21], Operations: [] Exploring Operation: 10*42=420, Resulting Numbers: [54, 21, 420] Generated Node #2: [54, 21, 420] from Operation: 10*42=420 Current State: 34:[54, 21, 420], Operations: ['10*42=420'] Exploring Operation: 420/21=20, Resulting Numbers: [54, 20] Generated Node #3: [54, 20] from Operation: 420/21=20 Current State: 34:[54, 20], Operations: ['10*42=420', '420/21=20'] Exploring Operation: 54-20=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 30, 19, 2, 14 ]
61
[ "30+19=49", "14-2=12", "49+12=61" ]
Current State: 61:[30, 19, 2, 14], Operations: [] Exploring Operation: 30+19=49, Resulting Numbers: [2, 14, 49] Generated Node #2: [2, 14, 49] from Operation: 30+19=49 Current State: 61:[2, 14, 49], Operations: ['30+19=49'] Exploring Operation: 14-2=12, Resulting Numbers: [49, 12] Generated Node #3: [49, 12] from Operation: 14-2=12 Current State: 61:[49, 12], Operations: ['30+19=49', '14-2=12'] Exploring Operation: 49+12=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 13, 36, 30, 36 ]
16
[ "30-13=17", "36/36=1", "17-1=16" ]
Current State: 16:[13, 36, 30, 36], Operations: [] Exploring Operation: 30-13=17, Resulting Numbers: [36, 36, 17] Generated Node #2: [36, 36, 17] from Operation: 30-13=17 Current State: 16:[36, 36, 17], Operations: ['30-13=17'] Exploring Operation: 36/36=1, Resulting Numbers: [17, 1] Generated Node #3: [17, 1] from Operation: 36/36=1 Current State: 16:[17, 1], Operations: ['30-13=17', '36/36=1'] Exploring Operation: 17-1=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 20, 89, 71, 30 ]
28
[ "89-20=69", "71-30=41", "69-41=28" ]
Current State: 28:[20, 89, 71, 30], Operations: [] Exploring Operation: 89-20=69, Resulting Numbers: [71, 30, 69] Generated Node #2: [71, 30, 69] from Operation: 89-20=69 Current State: 28:[71, 30, 69], Operations: ['89-20=69'] Exploring Operation: 71-30=41, Resulting Numbers: [69, 41] Generated Node #3: [69, 41] from Operation: 71-30=41 Current State: 28:[69, 41], Operations: ['89-20=69', '71-30=41'] Exploring Operation: 69-41=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 96, 9, 87, 66 ]
66
[ "96-9=87", "87+66=153", "153-87=66" ]
Current State: 66:[96, 9, 87, 66], Operations: [] Exploring Operation: 96-9=87, Resulting Numbers: [87, 66, 87] Generated Node #2: [87, 66, 87] from Operation: 96-9=87 Current State: 66:[87, 66, 87], Operations: ['96-9=87'] Exploring Operation: 87+66=153, Resulting Numbers: [153] 153,66 equal: Goal Reached Exploring Operation: 153-87=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 56, 78, 21, 71 ]
71
[ "78-56=22", "22-21=1", "71*1=71" ]
Current State: 71:[56, 78, 21, 71], Operations: [] Exploring Operation: 78-56=22, Resulting Numbers: [21, 71, 22] Generated Node #2: [21, 71, 22] from Operation: 78-56=22 Current State: 71:[21, 71, 22], Operations: ['78-56=22'] Exploring Operation: 22-21=1, Resulting Numbers: [71, 1] Generated Node #3: [71, 1] from Operation: 22-21=1 Current State: 71:[71, 1], Operations: ['78-56=22', '22-21=1'] Exploring Operation: 71*1=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 49, 53, 52, 20 ]
29
[ "49-20=29", "53-52=1", "29*1=29" ]
Current State: 29:[49, 53, 52, 20], Operations: [] Exploring Operation: 49-20=29, Resulting Numbers: [53, 52, 29] Generated Node #2: [53, 52, 29] from Operation: 49-20=29 Current State: 29:[53, 52, 29], Operations: ['49-20=29'] Exploring Operation: 53-52=1, Resulting Numbers: [29, 1] Generated Node #3: [29, 1] from Operation: 53-52=1 Current State: 29:[29, 1], Operations: ['49-20=29', '53-52=1'] Exploring Operation: 29*1=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 18, 49, 55, 34 ]
37
[ "55-49=6", "18/6=3", "34+3=37" ]
Current State: 37:[18, 49, 55, 34], Operations: [] Exploring Operation: 55-49=6, Resulting Numbers: [18, 34, 6] Generated Node #2: [18, 34, 6] from Operation: 55-49=6 Current State: 37:[18, 34, 6], Operations: ['55-49=6'] Exploring Operation: 18/6=3, Resulting Numbers: [34, 3] Generated Node #3: [34, 3] from Operation: 18/6=3 Current State: 37:[34, 3], Operations: ['55-49=6', '18/6=3'] Exploring Operation: 34+3=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 15, 21, 23, 61 ]
48
[ "15+21=36", "23+61=84", "84-36=48" ]
Current State: 48:[15, 21, 23, 61], Operations: [] Exploring Operation: 15+21=36, Resulting Numbers: [23, 61, 36] Generated Node #2: [23, 61, 36] from Operation: 15+21=36 Current State: 48:[23, 61, 36], Operations: ['15+21=36'] Exploring Operation: 23+61=84, Resulting Numbers: [36, 84] Generated Node #3: [36, 84] from Operation: 23+61=84 Current State: 48:[36, 84], Operations: ['15+21=36', '23+61=84'] Exploring Operation: 84-36=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 15, 87, 62, 99 ]
59
[ "15+87=102", "62+99=161", "161-102=59" ]
Current State: 59:[15, 87, 62, 99], Operations: [] Exploring Operation: 15+87=102, Resulting Numbers: [62, 99, 102] Generated Node #2: [62, 99, 102] from Operation: 15+87=102 Current State: 59:[62, 99, 102], Operations: ['15+87=102'] Exploring Operation: 62+99=161, Resulting Numbers: [102, 161] Generated Node #3: [102, 161] from Operation: 62+99=161 Current State: 59:[102, 161], Operations: ['15+87=102', '62+99=161'] Exploring Operation: 161-102=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 40, 47, 1, 38 ]
23
[ "40-38=2", "47-1=46", "46/2=23" ]
Current State: 23:[40, 47, 1, 38], Operations: [] Exploring Operation: 40-38=2, Resulting Numbers: [47, 1, 2] Generated Node #2: [47, 1, 2] from Operation: 40-38=2 Current State: 23:[47, 1, 2], Operations: ['40-38=2'] Exploring Operation: 47-1=46, Resulting Numbers: [2, 46] Generated Node #3: [2, 46] from Operation: 47-1=46 Current State: 23:[2, 46], Operations: ['40-38=2', '47-1=46'] Exploring Operation: 46/2=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 2, 76, 28, 36 ]
98
[ "28/2=14", "76+36=112", "112-14=98" ]
Current State: 98:[2, 76, 28, 36], Operations: [] Exploring Operation: 28/2=14, Resulting Numbers: [76, 36, 14] Generated Node #2: [76, 36, 14] from Operation: 28/2=14 Current State: 98:[76, 36, 14], Operations: ['28/2=14'] Exploring Operation: 76+36=112, Resulting Numbers: [14, 112] Generated Node #3: [14, 112] from Operation: 76+36=112 Current State: 98:[14, 112], Operations: ['28/2=14', '76+36=112'] Exploring Operation: 112-14=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 58, 53, 51, 40 ]
43
[ "58-53=5", "40/5=8", "51-8=43" ]
Current State: 43:[58, 53, 51, 40], Operations: [] Exploring Operation: 58-53=5, Resulting Numbers: [51, 40, 5] Generated Node #2: [51, 40, 5] from Operation: 58-53=5 Current State: 43:[51, 40, 5], Operations: ['58-53=5'] Exploring Operation: 40/5=8, Resulting Numbers: [51, 8] Generated Node #3: [51, 8] from Operation: 40/5=8 Current State: 43:[51, 8], Operations: ['58-53=5', '40/5=8'] Exploring Operation: 51-8=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 29, 32, 84, 57 ]
34
[ "29+32=61", "84-57=27", "61-27=34" ]
Current State: 34:[29, 32, 84, 57], Operations: [] Exploring Operation: 29+32=61, Resulting Numbers: [84, 57, 61] Generated Node #2: [84, 57, 61] from Operation: 29+32=61 Current State: 34:[84, 57, 61], Operations: ['29+32=61'] Exploring Operation: 84-57=27, Resulting Numbers: [61, 27] Generated Node #3: [61, 27] from Operation: 84-57=27 Current State: 34:[61, 27], Operations: ['29+32=61', '84-57=27'] Exploring Operation: 61-27=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 66, 18, 63, 4 ]
84
[ "66+18=84", "84-63=21", "4*21=84" ]
Current State: 84:[66, 18, 63, 4], Operations: [] Exploring Operation: 66+18=84, Resulting Numbers: [63, 4, 84] Generated Node #2: [63, 4, 84] from Operation: 66+18=84 Current State: 84:[63, 4, 84], Operations: ['66+18=84'] Exploring Operation: 84-63=21, Resulting Numbers: [4, 21] Generated Node #3: [4, 21] from Operation: 84-63=21 Current State: 84:[4, 21], Operations: ['66+18=84', '84-63=21'] Exploring Operation: 4*21=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 66, 89, 64, 81 ]
97
[ "66-64=2", "89*2=178", "178-81=97" ]
Current State: 97:[66, 89, 64, 81], Operations: [] Exploring Operation: 66-64=2, Resulting Numbers: [89, 81, 2] Generated Node #2: [89, 81, 2] from Operation: 66-64=2 Current State: 97:[89, 81, 2], Operations: ['66-64=2'] Exploring Operation: 89*2=178, Resulting Numbers: [81, 178] Generated Node #3: [81, 178] from Operation: 89*2=178 Current State: 97:[81, 178], Operations: ['66-64=2', '89*2=178'] Exploring Operation: 178-81=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 33, 88, 75, 62 ]
66
[ "88+62=150", "33*150=4950", "4950/75=66" ]
Current State: 66:[33, 88, 75, 62], Operations: [] Exploring Operation: 88+62=150, Resulting Numbers: [33, 75, 150] Generated Node #2: [33, 75, 150] from Operation: 88+62=150 Current State: 66:[33, 75, 150], Operations: ['88+62=150'] Exploring Operation: 33*150=4950, Resulting Numbers: [75, 4950] Generated Node #3: [75, 4950] from Operation: 33*150=4950 Current State: 66:[75, 4950], Operations: ['88+62=150', '33*150=4950'] Exploring Operation: 4950/75=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 97, 89, 2, 59 ]
34
[ "97+89=186", "186/2=93", "93-59=34" ]
Current State: 34:[97, 89, 2, 59], Operations: [] Exploring Operation: 97+89=186, Resulting Numbers: [2, 59, 186] Generated Node #2: [2, 59, 186] from Operation: 97+89=186 Current State: 34:[2, 59, 186], Operations: ['97+89=186'] Exploring Operation: 186/2=93, Resulting Numbers: [59, 93] Generated Node #3: [59, 93] from Operation: 186/2=93 Current State: 34:[59, 93], Operations: ['97+89=186', '186/2=93'] Exploring Operation: 93-59=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 24, 22, 86, 51 ]
94
[ "24-22=2", "86/2=43", "51+43=94" ]
Current State: 94:[24, 22, 86, 51], Operations: [] Exploring Operation: 24-22=2, Resulting Numbers: [86, 51, 2] Generated Node #2: [86, 51, 2] from Operation: 24-22=2 Current State: 94:[86, 51, 2], Operations: ['24-22=2'] Exploring Operation: 86/2=43, Resulting Numbers: [51, 43] Generated Node #3: [51, 43] from Operation: 86/2=43 Current State: 94:[51, 43], Operations: ['24-22=2', '86/2=43'] Exploring Operation: 51+43=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 45, 37, 19, 30 ]
19
[ "45-37=8", "30-19=11", "8+11=19" ]
Current State: 19:[45, 37, 19, 30], Operations: [] Exploring Operation: 45-37=8, Resulting Numbers: [19, 30, 8] Generated Node #2: [19, 30, 8] from Operation: 45-37=8 Current State: 19:[19, 30, 8], Operations: ['45-37=8'] Exploring Operation: 30-19=11, Resulting Numbers: [8, 11] Generated Node #3: [8, 11] from Operation: 30-19=11 Current State: 19:[8, 11], Operations: ['45-37=8', '30-19=11'] Exploring Operation: 8+11=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 79, 72, 77, 81 ]
28
[ "79-72=7", "81-77=4", "7*4=28" ]
Current State: 28:[79, 72, 77, 81], Operations: [] Exploring Operation: 79-72=7, Resulting Numbers: [77, 81, 7] Generated Node #2: [77, 81, 7] from Operation: 79-72=7 Current State: 28:[77, 81, 7], Operations: ['79-72=7'] Exploring Operation: 81-77=4, Resulting Numbers: [7, 4] Generated Node #3: [7, 4] from Operation: 81-77=4 Current State: 28:[7, 4], Operations: ['79-72=7', '81-77=4'] Exploring Operation: 7*4=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 69, 33, 20, 72 ]
40
[ "69-33=36", "20*72=1440", "1440/36=40" ]
Current State: 40:[69, 33, 20, 72], Operations: [] Exploring Operation: 69-33=36, Resulting Numbers: [20, 72, 36] Generated Node #2: [20, 72, 36] from Operation: 69-33=36 Current State: 40:[20, 72, 36], Operations: ['69-33=36'] Exploring Operation: 20*72=1440, Resulting Numbers: [36, 1440] Generated Node #3: [36, 1440] from Operation: 20*72=1440 Current State: 40:[36, 1440], Operations: ['69-33=36', '20*72=1440'] Exploring Operation: 1440/36=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 55, 99, 64, 58 ]
78
[ "99-55=44", "64+58=122", "122-44=78" ]
Current State: 78:[55, 99, 64, 58], Operations: [] Exploring Operation: 99-55=44, Resulting Numbers: [64, 58, 44] Generated Node #2: [64, 58, 44] from Operation: 99-55=44 Current State: 78:[64, 58, 44], Operations: ['99-55=44'] Exploring Operation: 64+58=122, Resulting Numbers: [44, 122] Generated Node #3: [44, 122] from Operation: 64+58=122 Current State: 78:[44, 122], Operations: ['99-55=44', '64+58=122'] Exploring Operation: 122-44=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 17, 81, 66, 90 ]
74
[ "17+81=98", "90-66=24", "98-24=74" ]
Current State: 74:[17, 81, 66, 90], Operations: [] Exploring Operation: 17+81=98, Resulting Numbers: [66, 90, 98] Generated Node #2: [66, 90, 98] from Operation: 17+81=98 Current State: 74:[66, 90, 98], Operations: ['17+81=98'] Exploring Operation: 90-66=24, Resulting Numbers: [98, 24] Generated Node #3: [98, 24] from Operation: 90-66=24 Current State: 74:[98, 24], Operations: ['17+81=98', '90-66=24'] Exploring Operation: 98-24=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 97, 45, 19, 95 ]
66
[ "97+45=142", "95-19=76", "142-76=66" ]
Current State: 66:[97, 45, 19, 95], Operations: [] Exploring Operation: 97+45=142, Resulting Numbers: [19, 95, 142] Generated Node #2: [19, 95, 142] from Operation: 97+45=142 Current State: 66:[19, 95, 142], Operations: ['97+45=142'] Exploring Operation: 95-19=76, Resulting Numbers: [142, 76] Generated Node #3: [142, 76] from Operation: 95-19=76 Current State: 66:[142, 76], Operations: ['97+45=142', '95-19=76'] Exploring Operation: 142-76=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 44, 41, 10, 11 ]
84
[ "44+41=85", "11-10=1", "85-1=84" ]
Current State: 84:[44, 41, 10, 11], Operations: [] Exploring Operation: 44+41=85, Resulting Numbers: [10, 11, 85] Generated Node #2: [10, 11, 85] from Operation: 44+41=85 Current State: 84:[10, 11, 85], Operations: ['44+41=85'] Exploring Operation: 11-10=1, Resulting Numbers: [85, 1] Generated Node #3: [85, 1] from Operation: 11-10=1 Current State: 84:[85, 1], Operations: ['44+41=85', '11-10=1'] Exploring Operation: 85-1=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 4, 2, 86, 40 ]
76
[ "4*40=160", "86-2=84", "160-84=76" ]
Current State: 76:[4, 2, 86, 40], Operations: [] Exploring Operation: 4*40=160, Resulting Numbers: [2, 86, 160] Generated Node #2: [2, 86, 160] from Operation: 4*40=160 Current State: 76:[2, 86, 160], Operations: ['4*40=160'] Exploring Operation: 86-2=84, Resulting Numbers: [160, 84] Generated Node #3: [160, 84] from Operation: 86-2=84 Current State: 76:[160, 84], Operations: ['4*40=160', '86-2=84'] Exploring Operation: 160-84=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 1, 41, 2, 10 ]
54
[ "1+41=42", "2+10=12", "42+12=54" ]
Current State: 54:[1, 41, 2, 10], Operations: [] Exploring Operation: 1+41=42, Resulting Numbers: [2, 10, 42] Generated Node #2: [2, 10, 42] from Operation: 1+41=42 Current State: 54:[2, 10, 42], Operations: ['1+41=42'] Exploring Operation: 2+10=12, Resulting Numbers: [42, 12] Generated Node #3: [42, 12] from Operation: 2+10=12 Current State: 54:[42, 12], Operations: ['1+41=42', '2+10=12'] Exploring Operation: 42+12=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 4, 6, 62, 53 ]
22
[ "6-4=2", "62/2=31", "53-31=22" ]
Current State: 22:[4, 6, 62, 53], Operations: [] Exploring Operation: 6-4=2, Resulting Numbers: [62, 53, 2] Generated Node #2: [62, 53, 2] from Operation: 6-4=2 Current State: 22:[62, 53, 2], Operations: ['6-4=2'] Exploring Operation: 62/2=31, Resulting Numbers: [53, 31] Generated Node #3: [53, 31] from Operation: 62/2=31 Current State: 22:[53, 31], Operations: ['6-4=2', '62/2=31'] Exploring Operation: 53-31=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 49, 10, 72, 33 ]
45
[ "49-33=16", "10*72=720", "720/16=45" ]
Current State: 45:[49, 10, 72, 33], Operations: [] Exploring Operation: 49-33=16, Resulting Numbers: [10, 72, 16] Generated Node #2: [10, 72, 16] from Operation: 49-33=16 Current State: 45:[10, 72, 16], Operations: ['49-33=16'] Exploring Operation: 10*72=720, Resulting Numbers: [16, 720] Generated Node #3: [16, 720] from Operation: 10*72=720 Current State: 45:[16, 720], Operations: ['49-33=16', '10*72=720'] Exploring Operation: 720/16=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 34, 49, 25, 10 ]
20
[ "49-34=15", "25+10=35", "35-15=20" ]
Current State: 20:[34, 49, 25, 10], Operations: [] Exploring Operation: 49-34=15, Resulting Numbers: [25, 10, 15] Generated Node #2: [25, 10, 15] from Operation: 49-34=15 Current State: 20:[25, 10, 15], Operations: ['49-34=15'] Exploring Operation: 25+10=35, Resulting Numbers: [15, 35] Generated Node #3: [15, 35] from Operation: 25+10=35 Current State: 20:[15, 35], Operations: ['49-34=15', '25+10=35'] Exploring Operation: 35-15=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 17, 3, 31, 69 ]
97
[ "69-31=38", "3*38=114", "114-17=97" ]
Current State: 97:[17, 3, 31, 69], Operations: [] Exploring Operation: 69-31=38, Resulting Numbers: [17, 3, 38] Generated Node #2: [17, 3, 38] from Operation: 69-31=38 Current State: 97:[17, 3, 38], Operations: ['69-31=38'] Exploring Operation: 3*38=114, Resulting Numbers: [17, 114] Generated Node #3: [17, 114] from Operation: 3*38=114 Current State: 97:[17, 114], Operations: ['69-31=38', '3*38=114'] Exploring Operation: 114-17=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 22, 2, 68, 85 ]
88
[ "68-2=66", "66/22=3", "85+3=88" ]
Current State: 88:[22, 2, 68, 85], Operations: [] Exploring Operation: 68-2=66, Resulting Numbers: [22, 85, 66] Generated Node #2: [22, 85, 66] from Operation: 68-2=66 Current State: 88:[22, 85, 66], Operations: ['68-2=66'] Exploring Operation: 66/22=3, Resulting Numbers: [85, 3] Generated Node #3: [85, 3] from Operation: 66/22=3 Current State: 88:[85, 3], Operations: ['68-2=66', '66/22=3'] Exploring Operation: 85+3=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 71, 50, 69, 67 ]
92
[ "71-69=2", "50/2=25", "67+25=92" ]
Current State: 92:[71, 50, 69, 67], Operations: [] Exploring Operation: 71-69=2, Resulting Numbers: [50, 67, 2] Generated Node #2: [50, 67, 2] from Operation: 71-69=2 Current State: 92:[50, 67, 2], Operations: ['71-69=2'] Exploring Operation: 50/2=25, Resulting Numbers: [67, 25] Generated Node #3: [67, 25] from Operation: 50/2=25 Current State: 92:[67, 25], Operations: ['71-69=2', '50/2=25'] Exploring Operation: 67+25=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 9, 2, 35, 44 ]
97
[ "9*2=18", "35+44=79", "18+79=97" ]
Current State: 97:[9, 2, 35, 44], Operations: [] Exploring Operation: 9*2=18, Resulting Numbers: [35, 44, 18] Generated Node #2: [35, 44, 18] from Operation: 9*2=18 Current State: 97:[35, 44, 18], Operations: ['9*2=18'] Exploring Operation: 35+44=79, Resulting Numbers: [18, 79] Generated Node #3: [18, 79] from Operation: 35+44=79 Current State: 97:[18, 79], Operations: ['9*2=18', '35+44=79'] Exploring Operation: 18+79=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 99, 96, 61, 78 ]
87
[ "99-96=3", "78/3=26", "61+26=87" ]
Current State: 87:[99, 96, 61, 78], Operations: [] Exploring Operation: 99-96=3, Resulting Numbers: [61, 78, 3] Generated Node #2: [61, 78, 3] from Operation: 99-96=3 Current State: 87:[61, 78, 3], Operations: ['99-96=3'] Exploring Operation: 78/3=26, Resulting Numbers: [61, 26] Generated Node #3: [61, 26] from Operation: 78/3=26 Current State: 87:[61, 26], Operations: ['99-96=3', '78/3=26'] Exploring Operation: 61+26=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 83, 2, 5, 76 ]
79
[ "5+76=81", "2*81=162", "162-83=79" ]
Current State: 79:[83, 2, 5, 76], Operations: [] Exploring Operation: 5+76=81, Resulting Numbers: [83, 2, 81] Generated Node #2: [83, 2, 81] from Operation: 5+76=81 Current State: 79:[83, 2, 81], Operations: ['5+76=81'] Exploring Operation: 2*81=162, Resulting Numbers: [83, 162] Generated Node #3: [83, 162] from Operation: 2*81=162 Current State: 79:[83, 162], Operations: ['5+76=81', '2*81=162'] Exploring Operation: 162-83=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 52, 73, 26, 47 ]
28
[ "52/26=2", "73-47=26", "2+26=28" ]
Current State: 28:[52, 73, 26, 47], Operations: [] Exploring Operation: 52/26=2, Resulting Numbers: [73, 47, 2] Generated Node #2: [73, 47, 2] from Operation: 52/26=2 Current State: 28:[73, 47, 2], Operations: ['52/26=2'] Exploring Operation: 73-47=26, Resulting Numbers: [2, 26] Generated Node #3: [2, 26] from Operation: 73-47=26 Current State: 28:[2, 26], Operations: ['52/26=2', '73-47=26'] Exploring Operation: 2+26=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 54, 30, 74, 14 ]
64
[ "54-30=24", "74+14=88", "88-24=64" ]
Current State: 64:[54, 30, 74, 14], Operations: [] Exploring Operation: 54-30=24, Resulting Numbers: [74, 14, 24] Generated Node #2: [74, 14, 24] from Operation: 54-30=24 Current State: 64:[74, 14, 24], Operations: ['54-30=24'] Exploring Operation: 74+14=88, Resulting Numbers: [24, 88] Generated Node #3: [24, 88] from Operation: 74+14=88 Current State: 64:[24, 88], Operations: ['54-30=24', '74+14=88'] Exploring Operation: 88-24=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 33, 2, 19, 52 ]
52
[ "33+19=52", "2*52=104", "104-52=52" ]
Current State: 52:[33, 2, 19, 52], Operations: [] Exploring Operation: 33+19=52, Resulting Numbers: [2, 52, 52] Generated Node #2: [2, 52, 52] from Operation: 33+19=52 Current State: 52:[2, 52, 52], Operations: ['33+19=52'] Exploring Operation: 2*52=104, Resulting Numbers: [104] 104,52 equal: Goal Reached Exploring Operation: 104-52=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 83, 9, 30, 73 ]
60
[ "83-73=10", "9*10=90", "90-30=60" ]
Current State: 60:[83, 9, 30, 73], Operations: [] Exploring Operation: 83-73=10, Resulting Numbers: [9, 30, 10] Generated Node #2: [9, 30, 10] from Operation: 83-73=10 Current State: 60:[9, 30, 10], Operations: ['83-73=10'] Exploring Operation: 9*10=90, Resulting Numbers: [30, 90] Generated Node #3: [30, 90] from Operation: 9*10=90 Current State: 60:[30, 90], Operations: ['83-73=10', '9*10=90'] Exploring Operation: 90-30=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 75, 70, 7, 13 ]
72
[ "75-70=5", "13*5=65", "7+65=72" ]
Current State: 72:[75, 70, 7, 13], Operations: [] Exploring Operation: 75-70=5, Resulting Numbers: [7, 13, 5] Generated Node #2: [7, 13, 5] from Operation: 75-70=5 Current State: 72:[7, 13, 5], Operations: ['75-70=5'] Exploring Operation: 13*5=65, Resulting Numbers: [7, 65] Generated Node #3: [7, 65] from Operation: 13*5=65 Current State: 72:[7, 65], Operations: ['75-70=5', '13*5=65'] Exploring Operation: 7+65=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 9, 33, 12, 64 ]
76
[ "33-9=24", "64-12=52", "24+52=76" ]
Current State: 76:[9, 33, 12, 64], Operations: [] Exploring Operation: 33-9=24, Resulting Numbers: [12, 64, 24] Generated Node #2: [12, 64, 24] from Operation: 33-9=24 Current State: 76:[12, 64, 24], Operations: ['33-9=24'] Exploring Operation: 64-12=52, Resulting Numbers: [24, 52] Generated Node #3: [24, 52] from Operation: 64-12=52 Current State: 76:[24, 52], Operations: ['33-9=24', '64-12=52'] Exploring Operation: 24+52=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 36, 28, 68, 70 ]
22
[ "36*70=2520", "2520/28=90", "90-68=22" ]
Current State: 22:[36, 28, 68, 70], Operations: [] Exploring Operation: 36*70=2520, Resulting Numbers: [28, 68, 2520] Generated Node #2: [28, 68, 2520] from Operation: 36*70=2520 Current State: 22:[28, 68, 2520], Operations: ['36*70=2520'] Exploring Operation: 2520/28=90, Resulting Numbers: [68, 90] Generated Node #3: [68, 90] from Operation: 2520/28=90 Current State: 22:[68, 90], Operations: ['36*70=2520', '2520/28=90'] Exploring Operation: 90-68=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 49, 69, 26, 58 ]
52
[ "69-49=20", "58-26=32", "20+32=52" ]
Current State: 52:[49, 69, 26, 58], Operations: [] Exploring Operation: 69-49=20, Resulting Numbers: [26, 58, 20] Generated Node #2: [26, 58, 20] from Operation: 69-49=20 Current State: 52:[26, 58, 20], Operations: ['69-49=20'] Exploring Operation: 58-26=32, Resulting Numbers: [20, 32] Generated Node #3: [20, 32] from Operation: 58-26=32 Current State: 52:[20, 32], Operations: ['69-49=20', '58-26=32'] Exploring Operation: 20+32=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 6, 79, 15, 35 ]
34
[ "79+35=114", "114/6=19", "15+19=34" ]
Current State: 34:[6, 79, 15, 35], Operations: [] Exploring Operation: 79+35=114, Resulting Numbers: [6, 15, 114] Generated Node #2: [6, 15, 114] from Operation: 79+35=114 Current State: 34:[6, 15, 114], Operations: ['79+35=114'] Exploring Operation: 114/6=19, Resulting Numbers: [15, 19] Generated Node #3: [15, 19] from Operation: 114/6=19 Current State: 34:[15, 19], Operations: ['79+35=114', '114/6=19'] Exploring Operation: 15+19=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 73, 85, 13, 2 ]
71
[ "85-13=72", "2*72=144", "144-73=71" ]
Current State: 71:[73, 85, 13, 2], Operations: [] Exploring Operation: 85-13=72, Resulting Numbers: [73, 2, 72] Generated Node #2: [73, 2, 72] from Operation: 85-13=72 Current State: 71:[73, 2, 72], Operations: ['85-13=72'] Exploring Operation: 2*72=144, Resulting Numbers: [73, 144] Generated Node #3: [73, 144] from Operation: 2*72=144 Current State: 71:[73, 144], Operations: ['85-13=72', '2*72=144'] Exploring Operation: 144-73=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 10, 5, 23, 60 ]
97
[ "10/5=2", "60*2=120", "120-23=97" ]
Current State: 97:[10, 5, 23, 60], Operations: [] Exploring Operation: 10/5=2, Resulting Numbers: [23, 60, 2] Generated Node #2: [23, 60, 2] from Operation: 10/5=2 Current State: 97:[23, 60, 2], Operations: ['10/5=2'] Exploring Operation: 60*2=120, Resulting Numbers: [23, 120] Generated Node #3: [23, 120] from Operation: 60*2=120 Current State: 97:[23, 120], Operations: ['10/5=2', '60*2=120'] Exploring Operation: 120-23=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 98, 27, 68, 40 ]
74
[ "98*27=2646", "68*40=2720", "2720-2646=74" ]
Current State: 74:[98, 27, 68, 40], Operations: [] Exploring Operation: 98*27=2646, Resulting Numbers: [68, 40, 2646] Generated Node #2: [68, 40, 2646] from Operation: 98*27=2646 Current State: 74:[68, 40, 2646], Operations: ['98*27=2646'] Exploring Operation: 68*40=2720, Resulting Numbers: [2646, 2720] Generated Node #3: [2646, 2720] from Operation: 68*40=2720 Current State: 74:[2646, 2720], Operations: ['98*27=2646', '68*40=2720'] Exploring Operation: 2720-2646=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 90, 98, 69, 23 ]
24
[ "98-90=8", "69/23=3", "8*3=24" ]
Current State: 24:[90, 98, 69, 23], Operations: [] Exploring Operation: 98-90=8, Resulting Numbers: [69, 23, 8] Generated Node #2: [69, 23, 8] from Operation: 98-90=8 Current State: 24:[69, 23, 8], Operations: ['98-90=8'] Exploring Operation: 69/23=3, Resulting Numbers: [8, 3] Generated Node #3: [8, 3] from Operation: 69/23=3 Current State: 24:[8, 3], Operations: ['98-90=8', '69/23=3'] Exploring Operation: 8*3=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 25, 33, 46, 95 ]
20
[ "25*33=825", "95+825=920", "920/46=20" ]
Current State: 20:[25, 33, 46, 95], Operations: [] Exploring Operation: 25*33=825, Resulting Numbers: [46, 95, 825] Generated Node #2: [46, 95, 825] from Operation: 25*33=825 Current State: 20:[46, 95, 825], Operations: ['25*33=825'] Exploring Operation: 95+825=920, Resulting Numbers: [46, 920] Generated Node #3: [46, 920] from Operation: 95+825=920 Current State: 20:[46, 920], Operations: ['25*33=825', '95+825=920'] Exploring Operation: 920/46=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 32, 52, 13, 40 ]
57
[ "32+52=84", "40-13=27", "84-27=57" ]
Current State: 57:[32, 52, 13, 40], Operations: [] Exploring Operation: 32+52=84, Resulting Numbers: [13, 40, 84] Generated Node #2: [13, 40, 84] from Operation: 32+52=84 Current State: 57:[13, 40, 84], Operations: ['32+52=84'] Exploring Operation: 40-13=27, Resulting Numbers: [84, 27] Generated Node #3: [84, 27] from Operation: 40-13=27 Current State: 57:[84, 27], Operations: ['32+52=84', '40-13=27'] Exploring Operation: 84-27=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 24, 76, 78, 46 ]
47
[ "78-76=2", "46/2=23", "24+23=47" ]
Current State: 47:[24, 76, 78, 46], Operations: [] Exploring Operation: 78-76=2, Resulting Numbers: [24, 46, 2] Generated Node #2: [24, 46, 2] from Operation: 78-76=2 Current State: 47:[24, 46, 2], Operations: ['78-76=2'] Exploring Operation: 46/2=23, Resulting Numbers: [24, 23] Generated Node #3: [24, 23] from Operation: 46/2=23 Current State: 47:[24, 23], Operations: ['78-76=2', '46/2=23'] Exploring Operation: 24+23=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 75, 88, 75, 15 ]
77
[ "88-75=13", "75+15=90", "90-13=77" ]
Current State: 77:[75, 88, 75, 15], Operations: [] Exploring Operation: 88-75=13, Resulting Numbers: [15, 13] Generated Node #2: [15, 13] from Operation: 88-75=13 Current State: 77:[15, 13], Operations: ['88-75=13'] Exploring Operation: 75+15=90, Resulting Numbers: [13, 90] Generated Node #3: [13, 90] from Operation: 75+15=90 Current State: 77:[13, 90], Operations: ['88-75=13', '75+15=90'] Exploring Operation: 90-13=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 78, 17, 30, 35 ]
19
[ "78+17=95", "35-30=5", "95/5=19" ]
Current State: 19:[78, 17, 30, 35], Operations: [] Exploring Operation: 78+17=95, Resulting Numbers: [30, 35, 95] Generated Node #2: [30, 35, 95] from Operation: 78+17=95 Current State: 19:[30, 35, 95], Operations: ['78+17=95'] Exploring Operation: 35-30=5, Resulting Numbers: [95, 5] Generated Node #3: [95, 5] from Operation: 35-30=5 Current State: 19:[95, 5], Operations: ['78+17=95', '35-30=5'] Exploring Operation: 95/5=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 79, 27, 48, 9 ]
65
[ "27*48=1296", "1296/9=144", "144-79=65" ]
Current State: 65:[79, 27, 48, 9], Operations: [] Exploring Operation: 27*48=1296, Resulting Numbers: [79, 9, 1296] Generated Node #2: [79, 9, 1296] from Operation: 27*48=1296 Current State: 65:[79, 9, 1296], Operations: ['27*48=1296'] Exploring Operation: 1296/9=144, Resulting Numbers: [79, 144] Generated Node #3: [79, 144] from Operation: 1296/9=144 Current State: 65:[79, 144], Operations: ['27*48=1296', '1296/9=144'] Exploring Operation: 144-79=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 70, 43, 73, 80 ]
49
[ "73-70=3", "43*3=129", "129-80=49" ]
Current State: 49:[70, 43, 73, 80], Operations: [] Exploring Operation: 73-70=3, Resulting Numbers: [43, 80, 3] Generated Node #2: [43, 80, 3] from Operation: 73-70=3 Current State: 49:[43, 80, 3], Operations: ['73-70=3'] Exploring Operation: 43*3=129, Resulting Numbers: [80, 129] Generated Node #3: [80, 129] from Operation: 43*3=129 Current State: 49:[80, 129], Operations: ['73-70=3', '43*3=129'] Exploring Operation: 129-80=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 68, 90, 88, 4 ]
30
[ "90-88=2", "68/2=34", "34-4=30" ]
Current State: 30:[68, 90, 88, 4], Operations: [] Exploring Operation: 90-88=2, Resulting Numbers: [68, 4, 2] Generated Node #2: [68, 4, 2] from Operation: 90-88=2 Current State: 30:[68, 4, 2], Operations: ['90-88=2'] Exploring Operation: 68/2=34, Resulting Numbers: [4, 34] Generated Node #3: [4, 34] from Operation: 68/2=34 Current State: 30:[4, 34], Operations: ['90-88=2', '68/2=34'] Exploring Operation: 34-4=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 35, 84, 6, 34 ]
91
[ "35+84=119", "34-6=28", "119-28=91" ]
Current State: 91:[35, 84, 6, 34], Operations: [] Exploring Operation: 35+84=119, Resulting Numbers: [6, 34, 119] Generated Node #2: [6, 34, 119] from Operation: 35+84=119 Current State: 91:[6, 34, 119], Operations: ['35+84=119'] Exploring Operation: 34-6=28, Resulting Numbers: [119, 28] Generated Node #3: [119, 28] from Operation: 34-6=28 Current State: 91:[119, 28], Operations: ['35+84=119', '34-6=28'] Exploring Operation: 119-28=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 23, 19, 18, 42 ]
96
[ "23-19=4", "42-18=24", "4*24=96" ]
Current State: 96:[23, 19, 18, 42], Operations: [] Exploring Operation: 23-19=4, Resulting Numbers: [18, 42, 4] Generated Node #2: [18, 42, 4] from Operation: 23-19=4 Current State: 96:[18, 42, 4], Operations: ['23-19=4'] Exploring Operation: 42-18=24, Resulting Numbers: [4, 24] Generated Node #3: [4, 24] from Operation: 42-18=24 Current State: 96:[4, 24], Operations: ['23-19=4', '42-18=24'] Exploring Operation: 4*24=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 4, 23, 45, 37 ]
51
[ "45-23=22", "4*22=88", "88-37=51" ]
Current State: 51:[4, 23, 45, 37], Operations: [] Exploring Operation: 45-23=22, Resulting Numbers: [4, 37, 22] Generated Node #2: [4, 37, 22] from Operation: 45-23=22 Current State: 51:[4, 37, 22], Operations: ['45-23=22'] Exploring Operation: 4*22=88, Resulting Numbers: [37, 88] Generated Node #3: [37, 88] from Operation: 4*22=88 Current State: 51:[37, 88], Operations: ['45-23=22', '4*22=88'] Exploring Operation: 88-37=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 2, 56, 84, 40 ]
58
[ "84/2=42", "56-40=16", "42+16=58" ]
Current State: 58:[2, 56, 84, 40], Operations: [] Exploring Operation: 84/2=42, Resulting Numbers: [56, 40, 42] Generated Node #2: [56, 40, 42] from Operation: 84/2=42 Current State: 58:[56, 40, 42], Operations: ['84/2=42'] Exploring Operation: 56-40=16, Resulting Numbers: [42, 16] Generated Node #3: [42, 16] from Operation: 56-40=16 Current State: 58:[42, 16], Operations: ['84/2=42', '56-40=16'] Exploring Operation: 42+16=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 23, 23, 12, 47 ]
21
[ "47-23=24", "24/12=2", "23-2=21" ]
Current State: 21:[23, 23, 12, 47], Operations: [] Exploring Operation: 47-23=24, Resulting Numbers: [12, 24] Generated Node #2: [12, 24] from Operation: 47-23=24 Current State: 21:[12, 24], Operations: ['47-23=24'] Exploring Operation: 24/12=2, Resulting Numbers: [2] 2,21 equal: Goal Reached Exploring Operation: 23-2=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 5, 30, 97, 61 ]
11
[ "30-5=25", "97-61=36", "36-25=11" ]
Current State: 11:[5, 30, 97, 61], Operations: [] Exploring Operation: 30-5=25, Resulting Numbers: [97, 61, 25] Generated Node #2: [97, 61, 25] from Operation: 30-5=25 Current State: 11:[97, 61, 25], Operations: ['30-5=25'] Exploring Operation: 97-61=36, Resulting Numbers: [25, 36] Generated Node #3: [25, 36] from Operation: 97-61=36 Current State: 11:[25, 36], Operations: ['30-5=25', '97-61=36'] Exploring Operation: 36-25=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 35, 9, 96, 94 ]
17
[ "96-94=2", "9*2=18", "35-18=17" ]
Current State: 17:[35, 9, 96, 94], Operations: [] Exploring Operation: 96-94=2, Resulting Numbers: [35, 9, 2] Generated Node #2: [35, 9, 2] from Operation: 96-94=2 Current State: 17:[35, 9, 2], Operations: ['96-94=2'] Exploring Operation: 9*2=18, Resulting Numbers: [35, 18] Generated Node #3: [35, 18] from Operation: 9*2=18 Current State: 17:[35, 18], Operations: ['96-94=2', '9*2=18'] Exploring Operation: 35-18=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 4, 2, 12, 66 ]
31
[ "66-12=54", "54/2=27", "4+27=31" ]
Current State: 31:[4, 2, 12, 66], Operations: [] Exploring Operation: 66-12=54, Resulting Numbers: [4, 2, 54] Generated Node #2: [4, 2, 54] from Operation: 66-12=54 Current State: 31:[4, 2, 54], Operations: ['66-12=54'] Exploring Operation: 54/2=27, Resulting Numbers: [4, 27] Generated Node #3: [4, 27] from Operation: 54/2=27 Current State: 31:[4, 27], Operations: ['66-12=54', '54/2=27'] Exploring Operation: 4+27=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 84, 32, 96, 16 ]
65
[ "84-16=68", "96/32=3", "68-3=65" ]
Current State: 65:[84, 32, 96, 16], Operations: [] Exploring Operation: 84-16=68, Resulting Numbers: [32, 96, 68] Generated Node #2: [32, 96, 68] from Operation: 84-16=68 Current State: 65:[32, 96, 68], Operations: ['84-16=68'] Exploring Operation: 96/32=3, Resulting Numbers: [68, 3] Generated Node #3: [68, 3] from Operation: 96/32=3 Current State: 65:[68, 3], Operations: ['84-16=68', '96/32=3'] Exploring Operation: 68-3=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 86, 34, 86, 54 ]
87
[ "86/86=1", "34+54=88", "88-1=87" ]
Current State: 87:[86, 34, 86, 54], Operations: [] Exploring Operation: 86/86=1, Resulting Numbers: [34, 54, 1] Generated Node #2: [34, 54, 1] from Operation: 86/86=1 Current State: 87:[34, 54, 1], Operations: ['86/86=1'] Exploring Operation: 34+54=88, Resulting Numbers: [1, 88] Generated Node #3: [1, 88] from Operation: 34+54=88 Current State: 87:[1, 88], Operations: ['86/86=1', '34+54=88'] Exploring Operation: 88-1=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 44, 32, 87, 75 ]
60
[ "44*75=3300", "87-32=55", "3300/55=60" ]
Current State: 60:[44, 32, 87, 75], Operations: [] Exploring Operation: 44*75=3300, Resulting Numbers: [32, 87, 3300] Generated Node #2: [32, 87, 3300] from Operation: 44*75=3300 Current State: 60:[32, 87, 3300], Operations: ['44*75=3300'] Exploring Operation: 87-32=55, Resulting Numbers: [3300, 55] Generated Node #3: [3300, 55] from Operation: 87-32=55 Current State: 60:[3300, 55], Operations: ['44*75=3300', '87-32=55'] Exploring Operation: 3300/55=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 54, 99, 66, 32 ]
53
[ "99-54=45", "66+32=98", "98-45=53" ]
Current State: 53:[54, 99, 66, 32], Operations: [] Exploring Operation: 99-54=45, Resulting Numbers: [66, 32, 45] Generated Node #2: [66, 32, 45] from Operation: 99-54=45 Current State: 53:[66, 32, 45], Operations: ['99-54=45'] Exploring Operation: 66+32=98, Resulting Numbers: [45, 98] Generated Node #3: [45, 98] from Operation: 66+32=98 Current State: 53:[45, 98], Operations: ['99-54=45', '66+32=98'] Exploring Operation: 98-45=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 26, 5, 43, 84 ]
96
[ "26+5=31", "43+84=127", "127-31=96" ]
Current State: 96:[26, 5, 43, 84], Operations: [] Exploring Operation: 26+5=31, Resulting Numbers: [43, 84, 31] Generated Node #2: [43, 84, 31] from Operation: 26+5=31 Current State: 96:[43, 84, 31], Operations: ['26+5=31'] Exploring Operation: 43+84=127, Resulting Numbers: [31, 127] Generated Node #3: [31, 127] from Operation: 43+84=127 Current State: 96:[31, 127], Operations: ['26+5=31', '43+84=127'] Exploring Operation: 127-31=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 80, 26, 42, 21 ]
63
[ "80*21=1680", "1680-42=1638", "1638/26=63" ]
Current State: 63:[80, 26, 42, 21], Operations: [] Exploring Operation: 80*21=1680, Resulting Numbers: [26, 42, 1680] Generated Node #2: [26, 42, 1680] from Operation: 80*21=1680 Current State: 63:[26, 42, 1680], Operations: ['80*21=1680'] Exploring Operation: 1680-42=1638, Resulting Numbers: [26, 1638] Generated Node #3: [26, 1638] from Operation: 1680-42=1638 Current State: 63:[26, 1638], Operations: ['80*21=1680', '1680-42=1638'] Exploring Operation: 1638/26=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 24, 73, 3, 96 ]
99
[ "24+96=120", "73*3=219", "219-120=99" ]
Current State: 99:[24, 73, 3, 96], Operations: [] Exploring Operation: 24+96=120, Resulting Numbers: [73, 3, 120] Generated Node #2: [73, 3, 120] from Operation: 24+96=120 Current State: 99:[73, 3, 120], Operations: ['24+96=120'] Exploring Operation: 73*3=219, Resulting Numbers: [120, 219] Generated Node #3: [120, 219] from Operation: 73*3=219 Current State: 99:[120, 219], Operations: ['24+96=120', '73*3=219'] Exploring Operation: 219-120=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 2, 97, 11, 34 ]
25
[ "2+97=99", "99/11=9", "34-9=25" ]
Current State: 25:[2, 97, 11, 34], Operations: [] Exploring Operation: 2+97=99, Resulting Numbers: [11, 34, 99] Generated Node #2: [11, 34, 99] from Operation: 2+97=99 Current State: 25:[11, 34, 99], Operations: ['2+97=99'] Exploring Operation: 99/11=9, Resulting Numbers: [34, 9] Generated Node #3: [34, 9] from Operation: 99/11=9 Current State: 25:[34, 9], Operations: ['2+97=99', '99/11=9'] Exploring Operation: 34-9=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 99, 74, 66, 1 ]
11
[ "74-66=8", "1+8=9", "99/9=11" ]
Current State: 11:[99, 74, 66, 1], Operations: [] Exploring Operation: 74-66=8, Resulting Numbers: [99, 1, 8] Generated Node #2: [99, 1, 8] from Operation: 74-66=8 Current State: 11:[99, 1, 8], Operations: ['74-66=8'] Exploring Operation: 1+8=9, Resulting Numbers: [99, 9] Generated Node #3: [99, 9] from Operation: 1+8=9 Current State: 11:[99, 9], Operations: ['74-66=8', '1+8=9'] Exploring Operation: 99/9=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 19, 32, 4, 34 ]
89
[ "19+32=51", "4+34=38", "51+38=89" ]
Current State: 89:[19, 32, 4, 34], Operations: [] Exploring Operation: 19+32=51, Resulting Numbers: [4, 34, 51] Generated Node #2: [4, 34, 51] from Operation: 19+32=51 Current State: 89:[4, 34, 51], Operations: ['19+32=51'] Exploring Operation: 4+34=38, Resulting Numbers: [51, 38] Generated Node #3: [51, 38] from Operation: 4+34=38 Current State: 89:[51, 38], Operations: ['19+32=51', '4+34=38'] Exploring Operation: 51+38=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 3, 13, 51, 41 ]
43
[ "51-41=10", "3*10=30", "13+30=43" ]
Current State: 43:[3, 13, 51, 41], Operations: [] Exploring Operation: 51-41=10, Resulting Numbers: [3, 13, 10] Generated Node #2: [3, 13, 10] from Operation: 51-41=10 Current State: 43:[3, 13, 10], Operations: ['51-41=10'] Exploring Operation: 3*10=30, Resulting Numbers: [13, 30] Generated Node #3: [13, 30] from Operation: 3*10=30 Current State: 43:[13, 30], Operations: ['51-41=10', '3*10=30'] Exploring Operation: 13+30=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 2, 64, 65, 37 ]
18
[ "65-64=1", "37-1=36", "36/2=18" ]
Current State: 18:[2, 64, 65, 37], Operations: [] Exploring Operation: 65-64=1, Resulting Numbers: [2, 37, 1] Generated Node #2: [2, 37, 1] from Operation: 65-64=1 Current State: 18:[2, 37, 1], Operations: ['65-64=1'] Exploring Operation: 37-1=36, Resulting Numbers: [2, 36] Generated Node #3: [2, 36] from Operation: 37-1=36 Current State: 18:[2, 36], Operations: ['65-64=1', '37-1=36'] Exploring Operation: 36/2=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 80, 45, 22, 29 ]
90
[ "80-22=58", "45*58=2610", "2610/29=90" ]
Current State: 90:[80, 45, 22, 29], Operations: [] Exploring Operation: 80-22=58, Resulting Numbers: [45, 29, 58] Generated Node #2: [45, 29, 58] from Operation: 80-22=58 Current State: 90:[45, 29, 58], Operations: ['80-22=58'] Exploring Operation: 45*58=2610, Resulting Numbers: [29, 2610] Generated Node #3: [29, 2610] from Operation: 45*58=2610 Current State: 90:[29, 2610], Operations: ['80-22=58', '45*58=2610'] Exploring Operation: 2610/29=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 3, 4, 18, 22 ]
32
[ "18/3=6", "4+22=26", "6+26=32" ]
Current State: 32:[3, 4, 18, 22], Operations: [] Exploring Operation: 18/3=6, Resulting Numbers: [4, 22, 6] Generated Node #2: [4, 22, 6] from Operation: 18/3=6 Current State: 32:[4, 22, 6], Operations: ['18/3=6'] Exploring Operation: 4+22=26, Resulting Numbers: [6, 26] Generated Node #3: [6, 26] from Operation: 4+22=26 Current State: 32:[6, 26], Operations: ['18/3=6', '4+22=26'] Exploring Operation: 6+26=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 80, 73, 47, 9 ]
16
[ "80-73=7", "9*7=63", "63-47=16" ]
Current State: 16:[80, 73, 47, 9], Operations: [] Exploring Operation: 80-73=7, Resulting Numbers: [47, 9, 7] Generated Node #2: [47, 9, 7] from Operation: 80-73=7 Current State: 16:[47, 9, 7], Operations: ['80-73=7'] Exploring Operation: 9*7=63, Resulting Numbers: [47, 63] Generated Node #3: [47, 63] from Operation: 9*7=63 Current State: 16:[47, 63], Operations: ['80-73=7', '9*7=63'] Exploring Operation: 63-47=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 31, 93, 72, 59 ]
16
[ "93/31=3", "72-59=13", "3+13=16" ]
Current State: 16:[31, 93, 72, 59], Operations: [] Exploring Operation: 93/31=3, Resulting Numbers: [72, 59, 3] Generated Node #2: [72, 59, 3] from Operation: 93/31=3 Current State: 16:[72, 59, 3], Operations: ['93/31=3'] Exploring Operation: 72-59=13, Resulting Numbers: [3, 13] Generated Node #3: [3, 13] from Operation: 72-59=13 Current State: 16:[3, 13], Operations: ['93/31=3', '72-59=13'] Exploring Operation: 3+13=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 89, 65, 84, 7 ]
63
[ "89+65=154", "84+7=91", "154-91=63" ]
Current State: 63:[89, 65, 84, 7], Operations: [] Exploring Operation: 89+65=154, Resulting Numbers: [84, 7, 154] Generated Node #2: [84, 7, 154] from Operation: 89+65=154 Current State: 63:[84, 7, 154], Operations: ['89+65=154'] Exploring Operation: 84+7=91, Resulting Numbers: [154, 91] Generated Node #3: [154, 91] from Operation: 84+7=91 Current State: 63:[154, 91], Operations: ['89+65=154', '84+7=91'] Exploring Operation: 154-91=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 52, 81, 33, 21 ]
17
[ "81-52=29", "33-21=12", "29-12=17" ]
Current State: 17:[52, 81, 33, 21], Operations: [] Exploring Operation: 81-52=29, Resulting Numbers: [33, 21, 29] Generated Node #2: [33, 21, 29] from Operation: 81-52=29 Current State: 17:[33, 21, 29], Operations: ['81-52=29'] Exploring Operation: 33-21=12, Resulting Numbers: [29, 12] Generated Node #3: [29, 12] from Operation: 33-21=12 Current State: 17:[29, 12], Operations: ['81-52=29', '33-21=12'] Exploring Operation: 29-12=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 37, 12, 95, 4 ]
64
[ "37*12=444", "95*4=380", "444-380=64" ]
Current State: 64:[37, 12, 95, 4], Operations: [] Exploring Operation: 37*12=444, Resulting Numbers: [95, 4, 444] Generated Node #2: [95, 4, 444] from Operation: 37*12=444 Current State: 64:[95, 4, 444], Operations: ['37*12=444'] Exploring Operation: 95*4=380, Resulting Numbers: [444, 380] Generated Node #3: [444, 380] from Operation: 95*4=380 Current State: 64:[444, 380], Operations: ['37*12=444', '95*4=380'] Exploring Operation: 444-380=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 11, 22, 54, 61 ]
14
[ "22/11=2", "61-54=7", "2*7=14" ]
Current State: 14:[11, 22, 54, 61], Operations: [] Exploring Operation: 22/11=2, Resulting Numbers: [54, 61, 2] Generated Node #2: [54, 61, 2] from Operation: 22/11=2 Current State: 14:[54, 61, 2], Operations: ['22/11=2'] Exploring Operation: 61-54=7, Resulting Numbers: [2, 7] Generated Node #3: [2, 7] from Operation: 61-54=7 Current State: 14:[2, 7], Operations: ['22/11=2', '61-54=7'] Exploring Operation: 2*7=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 4, 45, 4, 79 ]
18
[ "4*4=16", "79-45=34", "34-16=18" ]
Current State: 18:[4, 45, 4, 79], Operations: [] Exploring Operation: 4*4=16, Resulting Numbers: [45, 79, 16] Generated Node #2: [45, 79, 16] from Operation: 4*4=16 Current State: 18:[45, 79, 16], Operations: ['4*4=16'] Exploring Operation: 79-45=34, Resulting Numbers: [16, 34] Generated Node #3: [16, 34] from Operation: 79-45=34 Current State: 18:[16, 34], Operations: ['4*4=16', '79-45=34'] Exploring Operation: 34-16=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 81, 22, 44, 66 ]
86
[ "44+66=110", "110/22=5", "81+5=86" ]
Current State: 86:[81, 22, 44, 66], Operations: [] Exploring Operation: 44+66=110, Resulting Numbers: [81, 22, 110] Generated Node #2: [81, 22, 110] from Operation: 44+66=110 Current State: 86:[81, 22, 110], Operations: ['44+66=110'] Exploring Operation: 110/22=5, Resulting Numbers: [81, 5] Generated Node #3: [81, 5] from Operation: 110/22=5 Current State: 86:[81, 5], Operations: ['44+66=110', '110/22=5'] Exploring Operation: 81+5=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 10, 27, 15, 84 ]
62
[ "10+27=37", "15+84=99", "99-37=62" ]
Current State: 62:[10, 27, 15, 84], Operations: [] Exploring Operation: 10+27=37, Resulting Numbers: [15, 84, 37] Generated Node #2: [15, 84, 37] from Operation: 10+27=37 Current State: 62:[15, 84, 37], Operations: ['10+27=37'] Exploring Operation: 15+84=99, Resulting Numbers: [37, 99] Generated Node #3: [37, 99] from Operation: 15+84=99 Current State: 62:[37, 99], Operations: ['10+27=37', '15+84=99'] Exploring Operation: 99-37=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 13, 31, 96, 98 ]
36
[ "31-13=18", "98-96=2", "18*2=36" ]
Current State: 36:[13, 31, 96, 98], Operations: [] Exploring Operation: 31-13=18, Resulting Numbers: [96, 98, 18] Generated Node #2: [96, 98, 18] from Operation: 31-13=18 Current State: 36:[96, 98, 18], Operations: ['31-13=18'] Exploring Operation: 98-96=2, Resulting Numbers: [18, 2] Generated Node #3: [18, 2] from Operation: 98-96=2 Current State: 36:[18, 2], Operations: ['31-13=18', '98-96=2'] Exploring Operation: 18*2=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 21, 56, 37, 67 ]
39
[ "37+67=104", "21*104=2184", "2184/56=39" ]
Current State: 39:[21, 56, 37, 67], Operations: [] Exploring Operation: 37+67=104, Resulting Numbers: [21, 56, 104] Generated Node #2: [21, 56, 104] from Operation: 37+67=104 Current State: 39:[21, 56, 104], Operations: ['37+67=104'] Exploring Operation: 21*104=2184, Resulting Numbers: [56, 2184] Generated Node #3: [56, 2184] from Operation: 21*104=2184 Current State: 39:[56, 2184], Operations: ['37+67=104', '21*104=2184'] Exploring Operation: 2184/56=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 20, 42, 12, 18 ]
43
[ "42*18=756", "756/12=63", "63-20=43" ]
Current State: 43:[20, 42, 12, 18], Operations: [] Exploring Operation: 42*18=756, Resulting Numbers: [20, 12, 756] Generated Node #2: [20, 12, 756] from Operation: 42*18=756 Current State: 43:[20, 12, 756], Operations: ['42*18=756'] Exploring Operation: 756/12=63, Resulting Numbers: [20, 63] Generated Node #3: [20, 63] from Operation: 756/12=63 Current State: 43:[20, 63], Operations: ['42*18=756', '756/12=63'] Exploring Operation: 63-20=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 2, 42, 84, 22 ]
48
[ "2+22=24", "84/42=2", "24*2=48" ]
Current State: 48:[2, 42, 84, 22], Operations: [] Exploring Operation: 2+22=24, Resulting Numbers: [42, 84, 24] Generated Node #2: [42, 84, 24] from Operation: 2+22=24 Current State: 48:[42, 84, 24], Operations: ['2+22=24'] Exploring Operation: 84/42=2, Resulting Numbers: [24, 2] Generated Node #3: [24, 2] from Operation: 84/42=2 Current State: 48:[24, 2], Operations: ['2+22=24', '84/42=2'] Exploring Operation: 24*2=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 24, 6, 19, 17 ]
55
[ "24-19=5", "17-6=11", "5*11=55" ]
Current State: 55:[24, 6, 19, 17], Operations: [] Exploring Operation: 24-19=5, Resulting Numbers: [6, 17, 5] Generated Node #2: [6, 17, 5] from Operation: 24-19=5 Current State: 55:[6, 17, 5], Operations: ['24-19=5'] Exploring Operation: 17-6=11, Resulting Numbers: [5, 11] Generated Node #3: [5, 11] from Operation: 17-6=11 Current State: 55:[5, 11], Operations: ['24-19=5', '17-6=11'] Exploring Operation: 5*11=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 51, 13, 3, 41 ]
11
[ "51/3=17", "41-13=28", "28-17=11" ]
Current State: 11:[51, 13, 3, 41], Operations: [] Exploring Operation: 51/3=17, Resulting Numbers: [13, 41, 17] Generated Node #2: [13, 41, 17] from Operation: 51/3=17 Current State: 11:[13, 41, 17], Operations: ['51/3=17'] Exploring Operation: 41-13=28, Resulting Numbers: [17, 28] Generated Node #3: [17, 28] from Operation: 41-13=28 Current State: 11:[17, 28], Operations: ['51/3=17', '41-13=28'] Exploring Operation: 28-17=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 66, 5, 47, 12 ]
79
[ "66-47=19", "5*12=60", "19+60=79" ]
Current State: 79:[66, 5, 47, 12], Operations: [] Exploring Operation: 66-47=19, Resulting Numbers: [5, 12, 19] Generated Node #2: [5, 12, 19] from Operation: 66-47=19 Current State: 79:[5, 12, 19], Operations: ['66-47=19'] Exploring Operation: 5*12=60, Resulting Numbers: [19, 60] Generated Node #3: [19, 60] from Operation: 5*12=60 Current State: 79:[19, 60], Operations: ['66-47=19', '5*12=60'] Exploring Operation: 19+60=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 16, 26, 98, 18 ]
21
[ "98-18=80", "80/16=5", "26-5=21" ]
Current State: 21:[16, 26, 98, 18], Operations: [] Exploring Operation: 98-18=80, Resulting Numbers: [16, 26, 80] Generated Node #2: [16, 26, 80] from Operation: 98-18=80 Current State: 21:[16, 26, 80], Operations: ['98-18=80'] Exploring Operation: 80/16=5, Resulting Numbers: [26, 5] Generated Node #3: [26, 5] from Operation: 80/16=5 Current State: 21:[26, 5], Operations: ['98-18=80', '80/16=5'] Exploring Operation: 26-5=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4