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
[ 30, 29, 78, 32 ]
47
[ "30-29=1", "78-32=46", "1+46=47" ]
Current State: 47:[30, 29, 78, 32], Operations: [] Exploring Operation: 30-29=1, Resulting Numbers: [78, 32, 1] Generated Node #2: [78, 32, 1] from Operation: 30-29=1 Current State: 47:[78, 32, 1], Operations: ['30-29=1'] Exploring Operation: 78-32=46, Resulting Numbers: [1, 46] Generated Node #3: [1, 46] from Operation: 78-32=46 Current State: 47:[1, 46], Operations: ['30-29=1', '78-32=46'] Exploring Operation: 1+46=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 9, 31, 65, 12 ]
99
[ "31-9=22", "65+12=77", "22+77=99" ]
Current State: 99:[9, 31, 65, 12], Operations: [] Exploring Operation: 31-9=22, Resulting Numbers: [65, 12, 22] Generated Node #2: [65, 12, 22] from Operation: 31-9=22 Current State: 99:[65, 12, 22], Operations: ['31-9=22'] Exploring Operation: 65+12=77, Resulting Numbers: [22, 77] Generated Node #3: [22, 77] from Operation: 65+12=77 Current State: 99:[22, 77], Operations: ['31-9=22', '65+12=77'] Exploring Operation: 22+77=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 18, 1, 9, 11 ]
80
[ "18+1=19", "9*11=99", "99-19=80" ]
Current State: 80:[18, 1, 9, 11], Operations: [] Exploring Operation: 18+1=19, Resulting Numbers: [9, 11, 19] Generated Node #2: [9, 11, 19] from Operation: 18+1=19 Current State: 80:[9, 11, 19], Operations: ['18+1=19'] Exploring Operation: 9*11=99, Resulting Numbers: [19, 99] Generated Node #3: [19, 99] from Operation: 9*11=99 Current State: 80:[19, 99], Operations: ['18+1=19', '9*11=99'] Exploring Operation: 99-19=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 5, 40, 9, 57 ]
52
[ "5+40=45", "45/9=5", "57-5=52" ]
Current State: 52:[5, 40, 9, 57], Operations: [] Exploring Operation: 5+40=45, Resulting Numbers: [9, 57, 45] Generated Node #2: [9, 57, 45] from Operation: 5+40=45 Current State: 52:[9, 57, 45], Operations: ['5+40=45'] Exploring Operation: 45/9=5, Resulting Numbers: [57, 5] Generated Node #3: [57, 5] from Operation: 45/9=5 Current State: 52:[57, 5], Operations: ['5+40=45', '45/9=5'] Exploring Operation: 57-5=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 80, 12, 40, 11 ]
97
[ "80-12=68", "40-11=29", "68+29=97" ]
Current State: 97:[80, 12, 40, 11], Operations: [] Exploring Operation: 80-12=68, Resulting Numbers: [40, 11, 68] Generated Node #2: [40, 11, 68] from Operation: 80-12=68 Current State: 97:[40, 11, 68], Operations: ['80-12=68'] Exploring Operation: 40-11=29, Resulting Numbers: [68, 29] Generated Node #3: [68, 29] from Operation: 40-11=29 Current State: 97:[68, 29], Operations: ['80-12=68', '40-11=29'] Exploring Operation: 68+29=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 32, 78, 77, 37 ]
31
[ "37-32=5", "78+77=155", "155/5=31" ]
Current State: 31:[32, 78, 77, 37], Operations: [] Exploring Operation: 37-32=5, Resulting Numbers: [78, 77, 5] Generated Node #2: [78, 77, 5] from Operation: 37-32=5 Current State: 31:[78, 77, 5], Operations: ['37-32=5'] Exploring Operation: 78+77=155, Resulting Numbers: [5, 155] Generated Node #3: [5, 155] from Operation: 78+77=155 Current State: 31:[5, 155], Operations: ['37-32=5', '78+77=155'] Exploring Operation: 155/5=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 90, 91, 61, 6 ]
55
[ "91-90=1", "61-6=55", "1*55=55" ]
Current State: 55:[90, 91, 61, 6], Operations: [] Exploring Operation: 91-90=1, Resulting Numbers: [61, 6, 1] Generated Node #2: [61, 6, 1] from Operation: 91-90=1 Current State: 55:[61, 6, 1], Operations: ['91-90=1'] Exploring Operation: 61-6=55, Resulting Numbers: [1, 55] Generated Node #3: [1, 55] from Operation: 61-6=55 Current State: 55:[1, 55], Operations: ['91-90=1', '61-6=55'] Exploring Operation: 1*55=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 63, 13, 10, 88 ]
67
[ "13-10=3", "63/3=21", "88-21=67" ]
Current State: 67:[63, 13, 10, 88], Operations: [] Exploring Operation: 13-10=3, Resulting Numbers: [63, 88, 3] Generated Node #2: [63, 88, 3] from Operation: 13-10=3 Current State: 67:[63, 88, 3], Operations: ['13-10=3'] Exploring Operation: 63/3=21, Resulting Numbers: [88, 21] Generated Node #3: [88, 21] from Operation: 63/3=21 Current State: 67:[88, 21], Operations: ['13-10=3', '63/3=21'] Exploring Operation: 88-21=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 92, 48, 98, 26 ]
16
[ "92+48=140", "98+26=124", "140-124=16" ]
Current State: 16:[92, 48, 98, 26], Operations: [] Exploring Operation: 92+48=140, Resulting Numbers: [98, 26, 140] Generated Node #2: [98, 26, 140] from Operation: 92+48=140 Current State: 16:[98, 26, 140], Operations: ['92+48=140'] Exploring Operation: 98+26=124, Resulting Numbers: [140, 124] Generated Node #3: [140, 124] from Operation: 98+26=124 Current State: 16:[140, 124], Operations: ['92+48=140', '98+26=124'] Exploring Operation: 140-124=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 2, 54, 80, 18 ]
32
[ "80/2=40", "54+18=72", "72-40=32" ]
Current State: 32:[2, 54, 80, 18], Operations: [] Exploring Operation: 80/2=40, Resulting Numbers: [54, 18, 40] Generated Node #2: [54, 18, 40] from Operation: 80/2=40 Current State: 32:[54, 18, 40], Operations: ['80/2=40'] Exploring Operation: 54+18=72, Resulting Numbers: [40, 72] Generated Node #3: [40, 72] from Operation: 54+18=72 Current State: 32:[40, 72], Operations: ['80/2=40', '54+18=72'] Exploring Operation: 72-40=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 43, 47, 8, 76 ]
21
[ "47-43=4", "8+76=84", "84/4=21" ]
Current State: 21:[43, 47, 8, 76], Operations: [] Exploring Operation: 47-43=4, Resulting Numbers: [8, 76, 4] Generated Node #2: [8, 76, 4] from Operation: 47-43=4 Current State: 21:[8, 76, 4], Operations: ['47-43=4'] Exploring Operation: 8+76=84, Resulting Numbers: [4, 84] Generated Node #3: [4, 84] from Operation: 8+76=84 Current State: 21:[4, 84], Operations: ['47-43=4', '8+76=84'] Exploring Operation: 84/4=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 20, 34, 19, 27 ]
100
[ "20+34=54", "19+27=46", "54+46=100" ]
Current State: 100:[20, 34, 19, 27], Operations: [] Exploring Operation: 20+34=54, Resulting Numbers: [19, 27, 54] Generated Node #2: [19, 27, 54] from Operation: 20+34=54 Current State: 100:[19, 27, 54], Operations: ['20+34=54'] Exploring Operation: 19+27=46, Resulting Numbers: [54, 46] Generated Node #3: [54, 46] from Operation: 19+27=46 Current State: 100:[54, 46], Operations: ['20+34=54', '19+27=46'] Exploring Operation: 54+46=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 72, 22, 38, 40 ]
92
[ "72+22=94", "40-38=2", "94-2=92" ]
Current State: 92:[72, 22, 38, 40], Operations: [] Exploring Operation: 72+22=94, Resulting Numbers: [38, 40, 94] Generated Node #2: [38, 40, 94] from Operation: 72+22=94 Current State: 92:[38, 40, 94], Operations: ['72+22=94'] Exploring Operation: 40-38=2, Resulting Numbers: [94, 2] Generated Node #3: [94, 2] from Operation: 40-38=2 Current State: 92:[94, 2], Operations: ['72+22=94', '40-38=2'] Exploring Operation: 94-2=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 48, 75, 39, 20 ]
46
[ "75-48=27", "39-20=19", "27+19=46" ]
Current State: 46:[48, 75, 39, 20], Operations: [] Exploring Operation: 75-48=27, Resulting Numbers: [39, 20, 27] Generated Node #2: [39, 20, 27] from Operation: 75-48=27 Current State: 46:[39, 20, 27], Operations: ['75-48=27'] Exploring Operation: 39-20=19, Resulting Numbers: [27, 19] Generated Node #3: [27, 19] from Operation: 39-20=19 Current State: 46:[27, 19], Operations: ['75-48=27', '39-20=19'] Exploring Operation: 27+19=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 42, 39, 72, 82 ]
73
[ "42+39=81", "72+82=154", "154-81=73" ]
Current State: 73:[42, 39, 72, 82], Operations: [] Exploring Operation: 42+39=81, Resulting Numbers: [72, 82, 81] Generated Node #2: [72, 82, 81] from Operation: 42+39=81 Current State: 73:[72, 82, 81], Operations: ['42+39=81'] Exploring Operation: 72+82=154, Resulting Numbers: [81, 154] Generated Node #3: [81, 154] from Operation: 72+82=154 Current State: 73:[81, 154], Operations: ['42+39=81', '72+82=154'] Exploring Operation: 154-81=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 72, 93, 62, 76 ]
42
[ "93*76=7068", "7068/62=114", "114-72=42" ]
Current State: 42:[72, 93, 62, 76], Operations: [] Exploring Operation: 93*76=7068, Resulting Numbers: [72, 62, 7068] Generated Node #2: [72, 62, 7068] from Operation: 93*76=7068 Current State: 42:[72, 62, 7068], Operations: ['93*76=7068'] Exploring Operation: 7068/62=114, Resulting Numbers: [72, 114] Generated Node #3: [72, 114] from Operation: 7068/62=114 Current State: 42:[72, 114], Operations: ['93*76=7068', '7068/62=114'] Exploring Operation: 114-72=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 92, 8, 54, 39 ]
85
[ "92+8=100", "54-39=15", "100-15=85" ]
Current State: 85:[92, 8, 54, 39], Operations: [] Exploring Operation: 92+8=100, Resulting Numbers: [54, 39, 100] Generated Node #2: [54, 39, 100] from Operation: 92+8=100 Current State: 85:[54, 39, 100], Operations: ['92+8=100'] Exploring Operation: 54-39=15, Resulting Numbers: [100, 15] Generated Node #3: [100, 15] from Operation: 54-39=15 Current State: 85:[100, 15], Operations: ['92+8=100', '54-39=15'] Exploring Operation: 100-15=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 50, 32, 36, 19 ]
35
[ "50-32=18", "36-19=17", "18+17=35" ]
Current State: 35:[50, 32, 36, 19], Operations: [] Exploring Operation: 50-32=18, Resulting Numbers: [36, 19, 18] Generated Node #2: [36, 19, 18] from Operation: 50-32=18 Current State: 35:[36, 19, 18], Operations: ['50-32=18'] Exploring Operation: 36-19=17, Resulting Numbers: [18, 17] Generated Node #3: [18, 17] from Operation: 36-19=17 Current State: 35:[18, 17], Operations: ['50-32=18', '36-19=17'] Exploring Operation: 18+17=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 22, 9, 1, 77 ]
89
[ "22-9=13", "77-1=76", "13+76=89" ]
Current State: 89:[22, 9, 1, 77], Operations: [] Exploring Operation: 22-9=13, Resulting Numbers: [1, 77, 13] Generated Node #2: [1, 77, 13] from Operation: 22-9=13 Current State: 89:[1, 77, 13], Operations: ['22-9=13'] Exploring Operation: 77-1=76, Resulting Numbers: [13, 76] Generated Node #3: [13, 76] from Operation: 77-1=76 Current State: 89:[13, 76], Operations: ['22-9=13', '77-1=76'] Exploring Operation: 13+76=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 36, 58, 8, 64 ]
78
[ "58-36=22", "64-8=56", "22+56=78" ]
Current State: 78:[36, 58, 8, 64], Operations: [] Exploring Operation: 58-36=22, Resulting Numbers: [8, 64, 22] Generated Node #2: [8, 64, 22] from Operation: 58-36=22 Current State: 78:[8, 64, 22], Operations: ['58-36=22'] Exploring Operation: 64-8=56, Resulting Numbers: [22, 56] Generated Node #3: [22, 56] from Operation: 64-8=56 Current State: 78:[22, 56], Operations: ['58-36=22', '64-8=56'] Exploring Operation: 22+56=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 98, 58, 72, 85 ]
10
[ "98-85=13", "58+72=130", "130/13=10" ]
Current State: 10:[98, 58, 72, 85], Operations: [] Exploring Operation: 98-85=13, Resulting Numbers: [58, 72, 13] Generated Node #2: [58, 72, 13] from Operation: 98-85=13 Current State: 10:[58, 72, 13], Operations: ['98-85=13'] Exploring Operation: 58+72=130, Resulting Numbers: [13, 130] Generated Node #3: [13, 130] from Operation: 58+72=130 Current State: 10:[13, 130], Operations: ['98-85=13', '58+72=130'] Exploring Operation: 130/13=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 23, 12, 54, 82 ]
39
[ "23-12=11", "82-54=28", "11+28=39" ]
Current State: 39:[23, 12, 54, 82], Operations: [] Exploring Operation: 23-12=11, Resulting Numbers: [54, 82, 11] Generated Node #2: [54, 82, 11] from Operation: 23-12=11 Current State: 39:[54, 82, 11], Operations: ['23-12=11'] Exploring Operation: 82-54=28, Resulting Numbers: [11, 28] Generated Node #3: [11, 28] from Operation: 82-54=28 Current State: 39:[11, 28], Operations: ['23-12=11', '82-54=28'] Exploring Operation: 11+28=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 2, 99, 48, 55 ]
29
[ "99+55=154", "154/2=77", "77-48=29" ]
Current State: 29:[2, 99, 48, 55], Operations: [] Exploring Operation: 99+55=154, Resulting Numbers: [2, 48, 154] Generated Node #2: [2, 48, 154] from Operation: 99+55=154 Current State: 29:[2, 48, 154], Operations: ['99+55=154'] Exploring Operation: 154/2=77, Resulting Numbers: [48, 77] Generated Node #3: [48, 77] from Operation: 154/2=77 Current State: 29:[48, 77], Operations: ['99+55=154', '154/2=77'] Exploring Operation: 77-48=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 75, 92, 6, 59 ]
36
[ "92-75=17", "59-6=53", "53-17=36" ]
Current State: 36:[75, 92, 6, 59], Operations: [] Exploring Operation: 92-75=17, Resulting Numbers: [6, 59, 17] Generated Node #2: [6, 59, 17] from Operation: 92-75=17 Current State: 36:[6, 59, 17], Operations: ['92-75=17'] Exploring Operation: 59-6=53, Resulting Numbers: [17, 53] Generated Node #3: [17, 53] from Operation: 59-6=53 Current State: 36:[17, 53], Operations: ['92-75=17', '59-6=53'] Exploring Operation: 53-17=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 27, 76, 82, 2 ]
15
[ "82-76=6", "2*6=12", "27-12=15" ]
Current State: 15:[27, 76, 82, 2], Operations: [] Exploring Operation: 82-76=6, Resulting Numbers: [27, 2, 6] Generated Node #2: [27, 2, 6] from Operation: 82-76=6 Current State: 15:[27, 2, 6], Operations: ['82-76=6'] Exploring Operation: 2*6=12, Resulting Numbers: [27, 12] Generated Node #3: [27, 12] from Operation: 2*6=12 Current State: 15:[27, 12], Operations: ['82-76=6', '2*6=12'] Exploring Operation: 27-12=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 8, 84, 16, 18 ]
26
[ "8*16=128", "84+18=102", "128-102=26" ]
Current State: 26:[8, 84, 16, 18], Operations: [] Exploring Operation: 8*16=128, Resulting Numbers: [84, 18, 128] Generated Node #2: [84, 18, 128] from Operation: 8*16=128 Current State: 26:[84, 18, 128], Operations: ['8*16=128'] Exploring Operation: 84+18=102, Resulting Numbers: [128, 102] Generated Node #3: [128, 102] from Operation: 84+18=102 Current State: 26:[128, 102], Operations: ['8*16=128', '84+18=102'] Exploring Operation: 128-102=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 4, 62, 98, 79 ]
85
[ "4+62=66", "98-79=19", "66+19=85" ]
Current State: 85:[4, 62, 98, 79], Operations: [] Exploring Operation: 4+62=66, Resulting Numbers: [98, 79, 66] Generated Node #2: [98, 79, 66] from Operation: 4+62=66 Current State: 85:[98, 79, 66], Operations: ['4+62=66'] Exploring Operation: 98-79=19, Resulting Numbers: [66, 19] Generated Node #3: [66, 19] from Operation: 98-79=19 Current State: 85:[66, 19], Operations: ['4+62=66', '98-79=19'] Exploring Operation: 66+19=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 11, 22, 55, 86 ]
79
[ "22+55=77", "77/11=7", "86-7=79" ]
Current State: 79:[11, 22, 55, 86], Operations: [] Exploring Operation: 22+55=77, Resulting Numbers: [11, 86, 77] Generated Node #2: [11, 86, 77] from Operation: 22+55=77 Current State: 79:[11, 86, 77], Operations: ['22+55=77'] Exploring Operation: 77/11=7, Resulting Numbers: [86, 7] Generated Node #3: [86, 7] from Operation: 77/11=7 Current State: 79:[86, 7], Operations: ['22+55=77', '77/11=7'] Exploring Operation: 86-7=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 69, 34, 9, 29 ]
83
[ "69+34=103", "29-9=20", "103-20=83" ]
Current State: 83:[69, 34, 9, 29], Operations: [] Exploring Operation: 69+34=103, Resulting Numbers: [9, 29, 103] Generated Node #2: [9, 29, 103] from Operation: 69+34=103 Current State: 83:[9, 29, 103], Operations: ['69+34=103'] Exploring Operation: 29-9=20, Resulting Numbers: [103, 20] Generated Node #3: [103, 20] from Operation: 29-9=20 Current State: 83:[103, 20], Operations: ['69+34=103', '29-9=20'] Exploring Operation: 103-20=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 56, 72, 7, 70 ]
79
[ "72-56=16", "70-7=63", "16+63=79" ]
Current State: 79:[56, 72, 7, 70], Operations: [] Exploring Operation: 72-56=16, Resulting Numbers: [7, 70, 16] Generated Node #2: [7, 70, 16] from Operation: 72-56=16 Current State: 79:[7, 70, 16], Operations: ['72-56=16'] Exploring Operation: 70-7=63, Resulting Numbers: [16, 63] Generated Node #3: [16, 63] from Operation: 70-7=63 Current State: 79:[16, 63], Operations: ['72-56=16', '70-7=63'] Exploring Operation: 16+63=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 50, 3, 31, 17 ]
30
[ "50+31=81", "3*17=51", "81-51=30" ]
Current State: 30:[50, 3, 31, 17], Operations: [] Exploring Operation: 50+31=81, Resulting Numbers: [3, 17, 81] Generated Node #2: [3, 17, 81] from Operation: 50+31=81 Current State: 30:[3, 17, 81], Operations: ['50+31=81'] Exploring Operation: 3*17=51, Resulting Numbers: [81, 51] Generated Node #3: [81, 51] from Operation: 3*17=51 Current State: 30:[81, 51], Operations: ['50+31=81', '3*17=51'] Exploring Operation: 81-51=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 36, 8, 11, 40 ]
19
[ "40/8=5", "11*5=55", "55-36=19" ]
Current State: 19:[36, 8, 11, 40], Operations: [] Exploring Operation: 40/8=5, Resulting Numbers: [36, 11, 5] Generated Node #2: [36, 11, 5] from Operation: 40/8=5 Current State: 19:[36, 11, 5], Operations: ['40/8=5'] Exploring Operation: 11*5=55, Resulting Numbers: [36, 55] Generated Node #3: [36, 55] from Operation: 11*5=55 Current State: 19:[36, 55], Operations: ['40/8=5', '11*5=55'] Exploring Operation: 55-36=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 16, 55, 66, 93 ]
83
[ "66-55=11", "16*11=176", "176-93=83" ]
Current State: 83:[16, 55, 66, 93], Operations: [] Exploring Operation: 66-55=11, Resulting Numbers: [16, 93, 11] Generated Node #2: [16, 93, 11] from Operation: 66-55=11 Current State: 83:[16, 93, 11], Operations: ['66-55=11'] Exploring Operation: 16*11=176, Resulting Numbers: [93, 176] Generated Node #3: [93, 176] from Operation: 16*11=176 Current State: 83:[93, 176], Operations: ['66-55=11', '16*11=176'] Exploring Operation: 176-93=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 20, 29, 44, 7 ]
51
[ "20+29=49", "49/7=7", "44+7=51" ]
Current State: 51:[20, 29, 44, 7], Operations: [] Exploring Operation: 20+29=49, Resulting Numbers: [44, 7, 49] Generated Node #2: [44, 7, 49] from Operation: 20+29=49 Current State: 51:[44, 7, 49], Operations: ['20+29=49'] Exploring Operation: 49/7=7, Resulting Numbers: [44, 7] Generated Node #3: [44, 7] from Operation: 49/7=7 Current State: 51:[44, 7], Operations: ['20+29=49', '49/7=7'] Exploring Operation: 44+7=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 81, 2, 76, 77 ]
78
[ "81-2=79", "77-76=1", "79-1=78" ]
Current State: 78:[81, 2, 76, 77], Operations: [] Exploring Operation: 81-2=79, Resulting Numbers: [76, 77, 79] Generated Node #2: [76, 77, 79] from Operation: 81-2=79 Current State: 78:[76, 77, 79], Operations: ['81-2=79'] Exploring Operation: 77-76=1, Resulting Numbers: [79, 1] Generated Node #3: [79, 1] from Operation: 77-76=1 Current State: 78:[79, 1], Operations: ['81-2=79', '77-76=1'] Exploring Operation: 79-1=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 67, 27, 37, 29 ]
32
[ "67-27=40", "37-29=8", "40-8=32" ]
Current State: 32:[67, 27, 37, 29], Operations: [] Exploring Operation: 67-27=40, Resulting Numbers: [37, 29, 40] Generated Node #2: [37, 29, 40] from Operation: 67-27=40 Current State: 32:[37, 29, 40], Operations: ['67-27=40'] Exploring Operation: 37-29=8, Resulting Numbers: [40, 8] Generated Node #3: [40, 8] from Operation: 37-29=8 Current State: 32:[40, 8], Operations: ['67-27=40', '37-29=8'] Exploring Operation: 40-8=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 30, 68, 25, 76 ]
63
[ "68-30=38", "25+76=101", "101-38=63" ]
Current State: 63:[30, 68, 25, 76], Operations: [] Exploring Operation: 68-30=38, Resulting Numbers: [25, 76, 38] Generated Node #2: [25, 76, 38] from Operation: 68-30=38 Current State: 63:[25, 76, 38], Operations: ['68-30=38'] Exploring Operation: 25+76=101, Resulting Numbers: [38, 101] Generated Node #3: [38, 101] from Operation: 25+76=101 Current State: 63:[38, 101], Operations: ['68-30=38', '25+76=101'] Exploring Operation: 101-38=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 3, 80, 19, 26 ]
37
[ "80-26=54", "54/3=18", "19+18=37" ]
Current State: 37:[3, 80, 19, 26], Operations: [] Exploring Operation: 80-26=54, Resulting Numbers: [3, 19, 54] Generated Node #2: [3, 19, 54] from Operation: 80-26=54 Current State: 37:[3, 19, 54], Operations: ['80-26=54'] Exploring Operation: 54/3=18, Resulting Numbers: [19, 18] Generated Node #3: [19, 18] from Operation: 54/3=18 Current State: 37:[19, 18], Operations: ['80-26=54', '54/3=18'] Exploring Operation: 19+18=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 44, 19, 42, 58 ]
37
[ "44+19=63", "42+58=100", "100-63=37" ]
Current State: 37:[44, 19, 42, 58], Operations: [] Exploring Operation: 44+19=63, Resulting Numbers: [42, 58, 63] Generated Node #2: [42, 58, 63] from Operation: 44+19=63 Current State: 37:[42, 58, 63], Operations: ['44+19=63'] Exploring Operation: 42+58=100, Resulting Numbers: [63, 100] Generated Node #3: [63, 100] from Operation: 42+58=100 Current State: 37:[63, 100], Operations: ['44+19=63', '42+58=100'] Exploring Operation: 100-63=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 92, 15, 15, 31 ]
61
[ "92+15=107", "15+31=46", "107-46=61" ]
Current State: 61:[92, 15, 15, 31], Operations: [] Exploring Operation: 92+15=107, Resulting Numbers: [31, 107] Generated Node #2: [31, 107] from Operation: 92+15=107 Current State: 61:[31, 107], Operations: ['92+15=107'] Exploring Operation: 15+31=46, Resulting Numbers: [107, 46] Generated Node #3: [107, 46] from Operation: 15+31=46 Current State: 61:[107, 46], Operations: ['92+15=107', '15+31=46'] Exploring Operation: 107-46=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 90, 92, 99, 83 ]
81
[ "99-90=9", "92-83=9", "9*9=81" ]
Current State: 81:[90, 92, 99, 83], Operations: [] Exploring Operation: 99-90=9, Resulting Numbers: [92, 83, 9] Generated Node #2: [92, 83, 9] from Operation: 99-90=9 Current State: 81:[92, 83, 9], Operations: ['99-90=9'] Exploring Operation: 92-83=9, Resulting Numbers: [9, 9] Generated Node #3: [9, 9] from Operation: 92-83=9 Current State: 81:[9, 9], Operations: ['99-90=9', '92-83=9'] Exploring Operation: 9*9=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 28, 61, 14, 79 ]
98
[ "61-28=33", "79-14=65", "33+65=98" ]
Current State: 98:[28, 61, 14, 79], Operations: [] Exploring Operation: 61-28=33, Resulting Numbers: [14, 79, 33] Generated Node #2: [14, 79, 33] from Operation: 61-28=33 Current State: 98:[14, 79, 33], Operations: ['61-28=33'] Exploring Operation: 79-14=65, Resulting Numbers: [33, 65] Generated Node #3: [33, 65] from Operation: 79-14=65 Current State: 98:[33, 65], Operations: ['61-28=33', '79-14=65'] Exploring Operation: 33+65=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 22, 60, 33, 2 ]
88
[ "60*33=1980", "1980/22=90", "90-2=88" ]
Current State: 88:[22, 60, 33, 2], Operations: [] Exploring Operation: 60*33=1980, Resulting Numbers: [22, 2, 1980] Generated Node #2: [22, 2, 1980] from Operation: 60*33=1980 Current State: 88:[22, 2, 1980], Operations: ['60*33=1980'] Exploring Operation: 1980/22=90, Resulting Numbers: [2, 90] Generated Node #3: [2, 90] from Operation: 1980/22=90 Current State: 88:[2, 90], Operations: ['60*33=1980', '1980/22=90'] Exploring Operation: 90-2=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 68, 42, 63, 51 ]
14
[ "68-42=26", "63-51=12", "26-12=14" ]
Current State: 14:[68, 42, 63, 51], Operations: [] Exploring Operation: 68-42=26, Resulting Numbers: [63, 51, 26] Generated Node #2: [63, 51, 26] from Operation: 68-42=26 Current State: 14:[63, 51, 26], Operations: ['68-42=26'] Exploring Operation: 63-51=12, Resulting Numbers: [26, 12] Generated Node #3: [26, 12] from Operation: 63-51=12 Current State: 14:[26, 12], Operations: ['68-42=26', '63-51=12'] Exploring Operation: 26-12=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 72, 93, 25, 68 ]
71
[ "93-25=68", "68/68=1", "72-1=71" ]
Current State: 71:[72, 93, 25, 68], Operations: [] Exploring Operation: 93-25=68, Resulting Numbers: [72, 68, 68] Generated Node #2: [72, 68, 68] from Operation: 93-25=68 Current State: 71:[72, 68, 68], Operations: ['93-25=68'] Exploring Operation: 68/68=1, Resulting Numbers: [72, 1] Generated Node #3: [72, 1] from Operation: 68/68=1 Current State: 71:[72, 1], Operations: ['93-25=68', '68/68=1'] Exploring Operation: 72-1=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 1, 72, 55, 27 ]
44
[ "1*72=72", "55-27=28", "72-28=44" ]
Current State: 44:[1, 72, 55, 27], Operations: [] Exploring Operation: 1*72=72, Resulting Numbers: [55, 27, 72] Generated Node #2: [55, 27, 72] from Operation: 1*72=72 Current State: 44:[55, 27, 72], Operations: ['1*72=72'] Exploring Operation: 55-27=28, Resulting Numbers: [72, 28] Generated Node #3: [72, 28] from Operation: 55-27=28 Current State: 44:[72, 28], Operations: ['1*72=72', '55-27=28'] Exploring Operation: 72-28=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 69, 5, 56, 42 ]
87
[ "69*56=3864", "3864/42=92", "92-5=87" ]
Current State: 87:[69, 5, 56, 42], Operations: [] Exploring Operation: 69*56=3864, Resulting Numbers: [5, 42, 3864] Generated Node #2: [5, 42, 3864] from Operation: 69*56=3864 Current State: 87:[5, 42, 3864], Operations: ['69*56=3864'] Exploring Operation: 3864/42=92, Resulting Numbers: [5, 92] Generated Node #3: [5, 92] from Operation: 3864/42=92 Current State: 87:[5, 92], Operations: ['69*56=3864', '3864/42=92'] Exploring Operation: 92-5=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 70, 3, 44, 14 ]
37
[ "70-3=67", "44-14=30", "67-30=37" ]
Current State: 37:[70, 3, 44, 14], Operations: [] Exploring Operation: 70-3=67, Resulting Numbers: [44, 14, 67] Generated Node #2: [44, 14, 67] from Operation: 70-3=67 Current State: 37:[44, 14, 67], Operations: ['70-3=67'] Exploring Operation: 44-14=30, Resulting Numbers: [67, 30] Generated Node #3: [67, 30] from Operation: 44-14=30 Current State: 37:[67, 30], Operations: ['70-3=67', '44-14=30'] Exploring Operation: 67-30=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 21, 92, 91, 98 ]
35
[ "98-92=6", "21*6=126", "126-91=35" ]
Current State: 35:[21, 92, 91, 98], Operations: [] Exploring Operation: 98-92=6, Resulting Numbers: [21, 91, 6] Generated Node #2: [21, 91, 6] from Operation: 98-92=6 Current State: 35:[21, 91, 6], Operations: ['98-92=6'] Exploring Operation: 21*6=126, Resulting Numbers: [91, 126] Generated Node #3: [91, 126] from Operation: 21*6=126 Current State: 35:[91, 126], Operations: ['98-92=6', '21*6=126'] Exploring Operation: 126-91=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 14, 56, 57, 62 ]
37
[ "56-14=42", "62-57=5", "42-5=37" ]
Current State: 37:[14, 56, 57, 62], Operations: [] Exploring Operation: 56-14=42, Resulting Numbers: [57, 62, 42] Generated Node #2: [57, 62, 42] from Operation: 56-14=42 Current State: 37:[57, 62, 42], Operations: ['56-14=42'] Exploring Operation: 62-57=5, Resulting Numbers: [42, 5] Generated Node #3: [42, 5] from Operation: 62-57=5 Current State: 37:[42, 5], Operations: ['56-14=42', '62-57=5'] Exploring Operation: 42-5=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 49, 50, 7, 90 ]
27
[ "49+50=99", "90+99=189", "189/7=27" ]
Current State: 27:[49, 50, 7, 90], Operations: [] Exploring Operation: 49+50=99, Resulting Numbers: [7, 90, 99] Generated Node #2: [7, 90, 99] from Operation: 49+50=99 Current State: 27:[7, 90, 99], Operations: ['49+50=99'] Exploring Operation: 90+99=189, Resulting Numbers: [7, 189] Generated Node #3: [7, 189] from Operation: 90+99=189 Current State: 27:[7, 189], Operations: ['49+50=99', '90+99=189'] Exploring Operation: 189/7=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 4, 69, 69, 60 ]
20
[ "69/69=1", "4-1=3", "60/3=20" ]
Current State: 20:[4, 69, 69, 60], Operations: [] Exploring Operation: 69/69=1, Resulting Numbers: [4, 60, 1] Generated Node #2: [4, 60, 1] from Operation: 69/69=1 Current State: 20:[4, 60, 1], Operations: ['69/69=1'] Exploring Operation: 4-1=3, Resulting Numbers: [60, 3] Generated Node #3: [60, 3] from Operation: 4-1=3 Current State: 20:[60, 3], Operations: ['69/69=1', '4-1=3'] Exploring Operation: 60/3=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 68, 3, 14, 45 ]
53
[ "68+14=82", "3*45=135", "135-82=53" ]
Current State: 53:[68, 3, 14, 45], Operations: [] Exploring Operation: 68+14=82, Resulting Numbers: [3, 45, 82] Generated Node #2: [3, 45, 82] from Operation: 68+14=82 Current State: 53:[3, 45, 82], Operations: ['68+14=82'] Exploring Operation: 3*45=135, Resulting Numbers: [82, 135] Generated Node #3: [82, 135] from Operation: 3*45=135 Current State: 53:[82, 135], Operations: ['68+14=82', '3*45=135'] Exploring Operation: 135-82=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 78, 53, 89, 47 ]
89
[ "78+53=131", "89-47=42", "131-42=89" ]
Current State: 89:[78, 53, 89, 47], Operations: [] Exploring Operation: 78+53=131, Resulting Numbers: [89, 47, 131] Generated Node #2: [89, 47, 131] from Operation: 78+53=131 Current State: 89:[89, 47, 131], Operations: ['78+53=131'] Exploring Operation: 89-47=42, Resulting Numbers: [131, 42] Generated Node #3: [131, 42] from Operation: 89-47=42 Current State: 89:[131, 42], Operations: ['78+53=131', '89-47=42'] Exploring Operation: 131-42=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 98, 5, 17, 93 ]
90
[ "98-93=5", "5*17=85", "5+85=90" ]
Current State: 90:[98, 5, 17, 93], Operations: [] Exploring Operation: 98-93=5, Resulting Numbers: [5, 17, 5] Generated Node #2: [5, 17, 5] from Operation: 98-93=5 Current State: 90:[5, 17, 5], Operations: ['98-93=5'] Exploring Operation: 5*17=85, Resulting Numbers: [85] 85,90 equal: Goal Reached Exploring Operation: 5+85=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 52, 80, 85, 83 ]
66
[ "52+80=132", "85-83=2", "132/2=66" ]
Current State: 66:[52, 80, 85, 83], Operations: [] Exploring Operation: 52+80=132, Resulting Numbers: [85, 83, 132] Generated Node #2: [85, 83, 132] from Operation: 52+80=132 Current State: 66:[85, 83, 132], Operations: ['52+80=132'] Exploring Operation: 85-83=2, Resulting Numbers: [132, 2] Generated Node #3: [132, 2] from Operation: 85-83=2 Current State: 66:[132, 2], Operations: ['52+80=132', '85-83=2'] Exploring Operation: 132/2=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 50, 25, 35, 37 ]
23
[ "50-25=25", "37-35=2", "25-2=23" ]
Current State: 23:[50, 25, 35, 37], Operations: [] Exploring Operation: 50-25=25, Resulting Numbers: [35, 37, 25] Generated Node #2: [35, 37, 25] from Operation: 50-25=25 Current State: 23:[35, 37, 25], Operations: ['50-25=25'] Exploring Operation: 37-35=2, Resulting Numbers: [25, 2] Generated Node #3: [25, 2] from Operation: 37-35=2 Current State: 23:[25, 2], Operations: ['50-25=25', '37-35=2'] Exploring Operation: 25-2=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 69, 72, 75, 46 ]
69
[ "69-46=23", "75-72=3", "23*3=69" ]
Current State: 69:[69, 72, 75, 46], Operations: [] Exploring Operation: 69-46=23, Resulting Numbers: [72, 75, 23] Generated Node #2: [72, 75, 23] from Operation: 69-46=23 Current State: 69:[72, 75, 23], Operations: ['69-46=23'] Exploring Operation: 75-72=3, Resulting Numbers: [23, 3] Generated Node #3: [23, 3] from Operation: 75-72=3 Current State: 69:[23, 3], Operations: ['69-46=23', '75-72=3'] Exploring Operation: 23*3=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 2, 19, 39, 78 ]
22
[ "19-2=17", "78-39=39", "39-17=22" ]
Current State: 22:[2, 19, 39, 78], Operations: [] Exploring Operation: 19-2=17, Resulting Numbers: [39, 78, 17] Generated Node #2: [39, 78, 17] from Operation: 19-2=17 Current State: 22:[39, 78, 17], Operations: ['19-2=17'] Exploring Operation: 78-39=39, Resulting Numbers: [17, 39] Generated Node #3: [17, 39] from Operation: 78-39=39 Current State: 22:[17, 39], Operations: ['19-2=17', '78-39=39'] Exploring Operation: 39-17=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 69, 9, 8, 11 ]
59
[ "69+9=78", "8+11=19", "78-19=59" ]
Current State: 59:[69, 9, 8, 11], Operations: [] Exploring Operation: 69+9=78, Resulting Numbers: [8, 11, 78] Generated Node #2: [8, 11, 78] from Operation: 69+9=78 Current State: 59:[8, 11, 78], Operations: ['69+9=78'] Exploring Operation: 8+11=19, Resulting Numbers: [78, 19] Generated Node #3: [78, 19] from Operation: 8+11=19 Current State: 59:[78, 19], Operations: ['69+9=78', '8+11=19'] Exploring Operation: 78-19=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 61, 50, 5, 41 ]
65
[ "61+50=111", "5+41=46", "111-46=65" ]
Current State: 65:[61, 50, 5, 41], Operations: [] Exploring Operation: 61+50=111, Resulting Numbers: [5, 41, 111] Generated Node #2: [5, 41, 111] from Operation: 61+50=111 Current State: 65:[5, 41, 111], Operations: ['61+50=111'] Exploring Operation: 5+41=46, Resulting Numbers: [111, 46] Generated Node #3: [111, 46] from Operation: 5+41=46 Current State: 65:[111, 46], Operations: ['61+50=111', '5+41=46'] Exploring Operation: 111-46=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 99, 8, 37, 23 ]
47
[ "99+8=107", "37+23=60", "107-60=47" ]
Current State: 47:[99, 8, 37, 23], Operations: [] Exploring Operation: 99+8=107, Resulting Numbers: [37, 23, 107] Generated Node #2: [37, 23, 107] from Operation: 99+8=107 Current State: 47:[37, 23, 107], Operations: ['99+8=107'] Exploring Operation: 37+23=60, Resulting Numbers: [107, 60] Generated Node #3: [107, 60] from Operation: 37+23=60 Current State: 47:[107, 60], Operations: ['99+8=107', '37+23=60'] Exploring Operation: 107-60=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 1, 4, 22, 57 ]
74
[ "1+4=5", "22+57=79", "79-5=74" ]
Current State: 74:[1, 4, 22, 57], Operations: [] Exploring Operation: 1+4=5, Resulting Numbers: [22, 57, 5] Generated Node #2: [22, 57, 5] from Operation: 1+4=5 Current State: 74:[22, 57, 5], Operations: ['1+4=5'] Exploring Operation: 22+57=79, Resulting Numbers: [5, 79] Generated Node #3: [5, 79] from Operation: 22+57=79 Current State: 74:[5, 79], Operations: ['1+4=5', '22+57=79'] Exploring Operation: 79-5=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 92, 96, 4, 87 ]
19
[ "92-87=5", "96/4=24", "24-5=19" ]
Current State: 19:[92, 96, 4, 87], Operations: [] Exploring Operation: 92-87=5, Resulting Numbers: [96, 4, 5] Generated Node #2: [96, 4, 5] from Operation: 92-87=5 Current State: 19:[96, 4, 5], Operations: ['92-87=5'] Exploring Operation: 96/4=24, Resulting Numbers: [5, 24] Generated Node #3: [5, 24] from Operation: 96/4=24 Current State: 19:[5, 24], Operations: ['92-87=5', '96/4=24'] Exploring Operation: 24-5=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 24, 16, 17, 79 ]
54
[ "24-16=8", "79-17=62", "62-8=54" ]
Current State: 54:[24, 16, 17, 79], Operations: [] Exploring Operation: 24-16=8, Resulting Numbers: [17, 79, 8] Generated Node #2: [17, 79, 8] from Operation: 24-16=8 Current State: 54:[17, 79, 8], Operations: ['24-16=8'] Exploring Operation: 79-17=62, Resulting Numbers: [8, 62] Generated Node #3: [8, 62] from Operation: 79-17=62 Current State: 54:[8, 62], Operations: ['24-16=8', '79-17=62'] Exploring Operation: 62-8=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 9, 88, 25, 13 ]
14
[ "88+25=113", "13+113=126", "126/9=14" ]
Current State: 14:[9, 88, 25, 13], Operations: [] Exploring Operation: 88+25=113, Resulting Numbers: [9, 13, 113] Generated Node #2: [9, 13, 113] from Operation: 88+25=113 Current State: 14:[9, 13, 113], Operations: ['88+25=113'] Exploring Operation: 13+113=126, Resulting Numbers: [9, 126] Generated Node #3: [9, 126] from Operation: 13+113=126 Current State: 14:[9, 126], Operations: ['88+25=113', '13+113=126'] Exploring Operation: 126/9=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 82, 74, 40, 33 ]
59
[ "74*33=2442", "2442-82=2360", "2360/40=59" ]
Current State: 59:[82, 74, 40, 33], Operations: [] Exploring Operation: 74*33=2442, Resulting Numbers: [82, 40, 2442] Generated Node #2: [82, 40, 2442] from Operation: 74*33=2442 Current State: 59:[82, 40, 2442], Operations: ['74*33=2442'] Exploring Operation: 2442-82=2360, Resulting Numbers: [40, 2360] Generated Node #3: [40, 2360] from Operation: 2442-82=2360 Current State: 59:[40, 2360], Operations: ['74*33=2442', '2442-82=2360'] Exploring Operation: 2360/40=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 16, 56, 56, 12 ]
29
[ "16+12=28", "56/56=1", "28+1=29" ]
Current State: 29:[16, 56, 56, 12], Operations: [] Exploring Operation: 16+12=28, Resulting Numbers: [56, 56, 28] Generated Node #2: [56, 56, 28] from Operation: 16+12=28 Current State: 29:[56, 56, 28], Operations: ['16+12=28'] Exploring Operation: 56/56=1, Resulting Numbers: [28, 1] Generated Node #3: [28, 1] from Operation: 56/56=1 Current State: 29:[28, 1], Operations: ['16+12=28', '56/56=1'] Exploring Operation: 28+1=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 48, 48, 88, 12 ]
11
[ "48+48=96", "88*12=1056", "1056/96=11" ]
Current State: 11:[48, 48, 88, 12], Operations: [] Exploring Operation: 48+48=96, Resulting Numbers: [88, 12, 96] Generated Node #2: [88, 12, 96] from Operation: 48+48=96 Current State: 11:[88, 12, 96], Operations: ['48+48=96'] Exploring Operation: 88*12=1056, Resulting Numbers: [96, 1056] Generated Node #3: [96, 1056] from Operation: 88*12=1056 Current State: 11:[96, 1056], Operations: ['48+48=96', '88*12=1056'] Exploring Operation: 1056/96=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 2, 50, 35, 68 ]
25
[ "2*35=70", "70-68=2", "50/2=25" ]
Current State: 25:[2, 50, 35, 68], Operations: [] Exploring Operation: 2*35=70, Resulting Numbers: [50, 68, 70] Generated Node #2: [50, 68, 70] from Operation: 2*35=70 Current State: 25:[50, 68, 70], Operations: ['2*35=70'] Exploring Operation: 70-68=2, Resulting Numbers: [50, 2] Generated Node #3: [50, 2] from Operation: 70-68=2 Current State: 25:[50, 2], Operations: ['2*35=70', '70-68=2'] Exploring Operation: 50/2=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 79, 76, 78, 90 ]
56
[ "79-76=3", "78+90=168", "168/3=56" ]
Current State: 56:[79, 76, 78, 90], Operations: [] Exploring Operation: 79-76=3, Resulting Numbers: [78, 90, 3] Generated Node #2: [78, 90, 3] from Operation: 79-76=3 Current State: 56:[78, 90, 3], Operations: ['79-76=3'] Exploring Operation: 78+90=168, Resulting Numbers: [3, 168] Generated Node #3: [3, 168] from Operation: 78+90=168 Current State: 56:[3, 168], Operations: ['79-76=3', '78+90=168'] Exploring Operation: 168/3=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 8, 97, 7, 16 ]
13
[ "16-8=8", "97+7=104", "104/8=13" ]
Current State: 13:[8, 97, 7, 16], Operations: [] Exploring Operation: 16-8=8, Resulting Numbers: [97, 7, 8] Generated Node #2: [97, 7, 8] from Operation: 16-8=8 Current State: 13:[97, 7, 8], Operations: ['16-8=8'] Exploring Operation: 97+7=104, Resulting Numbers: [8, 104] Generated Node #3: [8, 104] from Operation: 97+7=104 Current State: 13:[8, 104], Operations: ['16-8=8', '97+7=104'] Exploring Operation: 104/8=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 5, 56, 60, 19 ]
96
[ "5+19=24", "60-56=4", "24*4=96" ]
Current State: 96:[5, 56, 60, 19], Operations: [] Exploring Operation: 5+19=24, Resulting Numbers: [56, 60, 24] Generated Node #2: [56, 60, 24] from Operation: 5+19=24 Current State: 96:[56, 60, 24], Operations: ['5+19=24'] Exploring Operation: 60-56=4, Resulting Numbers: [24, 4] Generated Node #3: [24, 4] from Operation: 60-56=4 Current State: 96:[24, 4], Operations: ['5+19=24', '60-56=4'] Exploring Operation: 24*4=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 11, 48, 33, 23 ]
27
[ "48-11=37", "33-23=10", "37-10=27" ]
Current State: 27:[11, 48, 33, 23], Operations: [] Exploring Operation: 48-11=37, Resulting Numbers: [33, 23, 37] Generated Node #2: [33, 23, 37] from Operation: 48-11=37 Current State: 27:[33, 23, 37], Operations: ['48-11=37'] Exploring Operation: 33-23=10, Resulting Numbers: [37, 10] Generated Node #3: [37, 10] from Operation: 33-23=10 Current State: 27:[37, 10], Operations: ['48-11=37', '33-23=10'] Exploring Operation: 37-10=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 90, 22, 87, 91 ]
72
[ "90-22=68", "91-87=4", "68+4=72" ]
Current State: 72:[90, 22, 87, 91], Operations: [] Exploring Operation: 90-22=68, Resulting Numbers: [87, 91, 68] Generated Node #2: [87, 91, 68] from Operation: 90-22=68 Current State: 72:[87, 91, 68], Operations: ['90-22=68'] Exploring Operation: 91-87=4, Resulting Numbers: [68, 4] Generated Node #3: [68, 4] from Operation: 91-87=4 Current State: 72:[68, 4], Operations: ['90-22=68', '91-87=4'] Exploring Operation: 68+4=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 2, 46, 64, 75 ]
100
[ "2+46=48", "64*75=4800", "4800/48=100" ]
Current State: 100:[2, 46, 64, 75], Operations: [] Exploring Operation: 2+46=48, Resulting Numbers: [64, 75, 48] Generated Node #2: [64, 75, 48] from Operation: 2+46=48 Current State: 100:[64, 75, 48], Operations: ['2+46=48'] Exploring Operation: 64*75=4800, Resulting Numbers: [48, 4800] Generated Node #3: [48, 4800] from Operation: 64*75=4800 Current State: 100:[48, 4800], Operations: ['2+46=48', '64*75=4800'] Exploring Operation: 4800/48=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 67, 56, 81, 28 ]
70
[ "67+56=123", "81-28=53", "123-53=70" ]
Current State: 70:[67, 56, 81, 28], Operations: [] Exploring Operation: 67+56=123, Resulting Numbers: [81, 28, 123] Generated Node #2: [81, 28, 123] from Operation: 67+56=123 Current State: 70:[81, 28, 123], Operations: ['67+56=123'] Exploring Operation: 81-28=53, Resulting Numbers: [123, 53] Generated Node #3: [123, 53] from Operation: 81-28=53 Current State: 70:[123, 53], Operations: ['67+56=123', '81-28=53'] Exploring Operation: 123-53=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 56, 4, 7, 14 ]
59
[ "56-4=52", "14-7=7", "52+7=59" ]
Current State: 59:[56, 4, 7, 14], Operations: [] Exploring Operation: 56-4=52, Resulting Numbers: [7, 14, 52] Generated Node #2: [7, 14, 52] from Operation: 56-4=52 Current State: 59:[7, 14, 52], Operations: ['56-4=52'] Exploring Operation: 14-7=7, Resulting Numbers: [52, 7] Generated Node #3: [52, 7] from Operation: 14-7=7 Current State: 59:[52, 7], Operations: ['56-4=52', '14-7=7'] Exploring Operation: 52+7=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 4, 60, 46, 5 ]
51
[ "60-46=14", "4*14=56", "56-5=51" ]
Current State: 51:[4, 60, 46, 5], Operations: [] Exploring Operation: 60-46=14, Resulting Numbers: [4, 5, 14] Generated Node #2: [4, 5, 14] from Operation: 60-46=14 Current State: 51:[4, 5, 14], Operations: ['60-46=14'] Exploring Operation: 4*14=56, Resulting Numbers: [5, 56] Generated Node #3: [5, 56] from Operation: 4*14=56 Current State: 51:[5, 56], Operations: ['60-46=14', '4*14=56'] Exploring Operation: 56-5=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 41, 26, 77, 90 ]
82
[ "41*26=1066", "90-77=13", "1066/13=82" ]
Current State: 82:[41, 26, 77, 90], Operations: [] Exploring Operation: 41*26=1066, Resulting Numbers: [77, 90, 1066] Generated Node #2: [77, 90, 1066] from Operation: 41*26=1066 Current State: 82:[77, 90, 1066], Operations: ['41*26=1066'] Exploring Operation: 90-77=13, Resulting Numbers: [1066, 13] Generated Node #3: [1066, 13] from Operation: 90-77=13 Current State: 82:[1066, 13], Operations: ['41*26=1066', '90-77=13'] Exploring Operation: 1066/13=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 44, 49, 83, 65 ]
96
[ "49-44=5", "65/5=13", "83+13=96" ]
Current State: 96:[44, 49, 83, 65], Operations: [] Exploring Operation: 49-44=5, Resulting Numbers: [83, 65, 5] Generated Node #2: [83, 65, 5] from Operation: 49-44=5 Current State: 96:[83, 65, 5], Operations: ['49-44=5'] Exploring Operation: 65/5=13, Resulting Numbers: [83, 13] Generated Node #3: [83, 13] from Operation: 65/5=13 Current State: 96:[83, 13], Operations: ['49-44=5', '65/5=13'] Exploring Operation: 83+13=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 10, 57, 65, 72 ]
36
[ "10+57=67", "67-65=2", "72/2=36" ]
Current State: 36:[10, 57, 65, 72], Operations: [] Exploring Operation: 10+57=67, Resulting Numbers: [65, 72, 67] Generated Node #2: [65, 72, 67] from Operation: 10+57=67 Current State: 36:[65, 72, 67], Operations: ['10+57=67'] Exploring Operation: 67-65=2, Resulting Numbers: [72, 2] Generated Node #3: [72, 2] from Operation: 67-65=2 Current State: 36:[72, 2], Operations: ['10+57=67', '67-65=2'] Exploring Operation: 72/2=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 47, 53, 12, 23 ]
66
[ "53-47=6", "23-12=11", "6*11=66" ]
Current State: 66:[47, 53, 12, 23], Operations: [] Exploring Operation: 53-47=6, Resulting Numbers: [12, 23, 6] Generated Node #2: [12, 23, 6] from Operation: 53-47=6 Current State: 66:[12, 23, 6], Operations: ['53-47=6'] Exploring Operation: 23-12=11, Resulting Numbers: [6, 11] Generated Node #3: [6, 11] from Operation: 23-12=11 Current State: 66:[6, 11], Operations: ['53-47=6', '23-12=11'] Exploring Operation: 6*11=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 51, 86, 88, 92 ]
39
[ "86-51=35", "92-88=4", "35+4=39" ]
Current State: 39:[51, 86, 88, 92], Operations: [] Exploring Operation: 86-51=35, Resulting Numbers: [88, 92, 35] Generated Node #2: [88, 92, 35] from Operation: 86-51=35 Current State: 39:[88, 92, 35], Operations: ['86-51=35'] Exploring Operation: 92-88=4, Resulting Numbers: [35, 4] Generated Node #3: [35, 4] from Operation: 92-88=4 Current State: 39:[35, 4], Operations: ['86-51=35', '92-88=4'] Exploring Operation: 35+4=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 31, 33, 13, 23 ]
28
[ "31+33=64", "13+23=36", "64-36=28" ]
Current State: 28:[31, 33, 13, 23], Operations: [] Exploring Operation: 31+33=64, Resulting Numbers: [13, 23, 64] Generated Node #2: [13, 23, 64] from Operation: 31+33=64 Current State: 28:[13, 23, 64], Operations: ['31+33=64'] Exploring Operation: 13+23=36, Resulting Numbers: [64, 36] Generated Node #3: [64, 36] from Operation: 13+23=36 Current State: 28:[64, 36], Operations: ['31+33=64', '13+23=36'] Exploring Operation: 64-36=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 36, 28, 44, 71 ]
35
[ "36-28=8", "71-44=27", "8+27=35" ]
Current State: 35:[36, 28, 44, 71], Operations: [] Exploring Operation: 36-28=8, Resulting Numbers: [44, 71, 8] Generated Node #2: [44, 71, 8] from Operation: 36-28=8 Current State: 35:[44, 71, 8], Operations: ['36-28=8'] Exploring Operation: 71-44=27, Resulting Numbers: [8, 27] Generated Node #3: [8, 27] from Operation: 71-44=27 Current State: 35:[8, 27], Operations: ['36-28=8', '71-44=27'] Exploring Operation: 8+27=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 14, 38, 30, 58 ]
64
[ "38-14=24", "30+58=88", "88-24=64" ]
Current State: 64:[14, 38, 30, 58], Operations: [] Exploring Operation: 38-14=24, Resulting Numbers: [30, 58, 24] Generated Node #2: [30, 58, 24] from Operation: 38-14=24 Current State: 64:[30, 58, 24], Operations: ['38-14=24'] Exploring Operation: 30+58=88, Resulting Numbers: [24, 88] Generated Node #3: [24, 88] from Operation: 30+58=88 Current State: 64:[24, 88], Operations: ['38-14=24', '30+58=88'] Exploring Operation: 88-24=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 25, 10, 15, 70 ]
47
[ "25+15=40", "70/10=7", "40+7=47" ]
Current State: 47:[25, 10, 15, 70], Operations: [] Exploring Operation: 25+15=40, Resulting Numbers: [10, 70, 40] Generated Node #2: [10, 70, 40] from Operation: 25+15=40 Current State: 47:[10, 70, 40], Operations: ['25+15=40'] Exploring Operation: 70/10=7, Resulting Numbers: [40, 7] Generated Node #3: [40, 7] from Operation: 70/10=7 Current State: 47:[40, 7], Operations: ['25+15=40', '70/10=7'] Exploring Operation: 40+7=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 47, 66, 38, 74 ]
93
[ "66-47=19", "38+74=112", "112-19=93" ]
Current State: 93:[47, 66, 38, 74], Operations: [] Exploring Operation: 66-47=19, Resulting Numbers: [38, 74, 19] Generated Node #2: [38, 74, 19] from Operation: 66-47=19 Current State: 93:[38, 74, 19], Operations: ['66-47=19'] Exploring Operation: 38+74=112, Resulting Numbers: [19, 112] Generated Node #3: [19, 112] from Operation: 38+74=112 Current State: 93:[19, 112], Operations: ['66-47=19', '38+74=112'] Exploring Operation: 112-19=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 18, 73, 99, 9 ]
47
[ "18*73=1314", "1314/9=146", "146-99=47" ]
Current State: 47:[18, 73, 99, 9], Operations: [] Exploring Operation: 18*73=1314, Resulting Numbers: [99, 9, 1314] Generated Node #2: [99, 9, 1314] from Operation: 18*73=1314 Current State: 47:[99, 9, 1314], Operations: ['18*73=1314'] Exploring Operation: 1314/9=146, Resulting Numbers: [99, 146] Generated Node #3: [99, 146] from Operation: 1314/9=146 Current State: 47:[99, 146], Operations: ['18*73=1314', '1314/9=146'] Exploring Operation: 146-99=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 67, 22, 15, 21 ]
53
[ "67+22=89", "15+21=36", "89-36=53" ]
Current State: 53:[67, 22, 15, 21], Operations: [] Exploring Operation: 67+22=89, Resulting Numbers: [15, 21, 89] Generated Node #2: [15, 21, 89] from Operation: 67+22=89 Current State: 53:[15, 21, 89], Operations: ['67+22=89'] Exploring Operation: 15+21=36, Resulting Numbers: [89, 36] Generated Node #3: [89, 36] from Operation: 15+21=36 Current State: 53:[89, 36], Operations: ['67+22=89', '15+21=36'] Exploring Operation: 89-36=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 13, 20, 3, 99 ]
66
[ "13+20=33", "99/3=33", "33+33=66" ]
Current State: 66:[13, 20, 3, 99], Operations: [] Exploring Operation: 13+20=33, Resulting Numbers: [3, 99, 33] Generated Node #2: [3, 99, 33] from Operation: 13+20=33 Current State: 66:[3, 99, 33], Operations: ['13+20=33'] Exploring Operation: 99/3=33, Resulting Numbers: [33, 33] Generated Node #3: [33, 33] from Operation: 99/3=33 Current State: 66:[33, 33], Operations: ['13+20=33', '99/3=33'] Exploring Operation: 33+33=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 78, 23, 10, 27 ]
83
[ "23+27=50", "50/10=5", "78+5=83" ]
Current State: 83:[78, 23, 10, 27], Operations: [] Exploring Operation: 23+27=50, Resulting Numbers: [78, 10, 50] Generated Node #2: [78, 10, 50] from Operation: 23+27=50 Current State: 83:[78, 10, 50], Operations: ['23+27=50'] Exploring Operation: 50/10=5, Resulting Numbers: [78, 5] Generated Node #3: [78, 5] from Operation: 50/10=5 Current State: 83:[78, 5], Operations: ['23+27=50', '50/10=5'] Exploring Operation: 78+5=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 99, 1, 43, 33 ]
41
[ "99/33=3", "1+43=44", "44-3=41" ]
Current State: 41:[99, 1, 43, 33], Operations: [] Exploring Operation: 99/33=3, Resulting Numbers: [1, 43, 3] Generated Node #2: [1, 43, 3] from Operation: 99/33=3 Current State: 41:[1, 43, 3], Operations: ['99/33=3'] Exploring Operation: 1+43=44, Resulting Numbers: [3, 44] Generated Node #3: [3, 44] from Operation: 1+43=44 Current State: 41:[3, 44], Operations: ['99/33=3', '1+43=44'] Exploring Operation: 44-3=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 52, 6, 55, 89 ]
28
[ "55+89=144", "144/6=24", "52-24=28" ]
Current State: 28:[52, 6, 55, 89], Operations: [] Exploring Operation: 55+89=144, Resulting Numbers: [52, 6, 144] Generated Node #2: [52, 6, 144] from Operation: 55+89=144 Current State: 28:[52, 6, 144], Operations: ['55+89=144'] Exploring Operation: 144/6=24, Resulting Numbers: [52, 24] Generated Node #3: [52, 24] from Operation: 144/6=24 Current State: 28:[52, 24], Operations: ['55+89=144', '144/6=24'] Exploring Operation: 52-24=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 45, 35, 32, 23 ]
71
[ "45+35=80", "32-23=9", "80-9=71" ]
Current State: 71:[45, 35, 32, 23], Operations: [] Exploring Operation: 45+35=80, Resulting Numbers: [32, 23, 80] Generated Node #2: [32, 23, 80] from Operation: 45+35=80 Current State: 71:[32, 23, 80], Operations: ['45+35=80'] Exploring Operation: 32-23=9, Resulting Numbers: [80, 9] Generated Node #3: [80, 9] from Operation: 32-23=9 Current State: 71:[80, 9], Operations: ['45+35=80', '32-23=9'] Exploring Operation: 80-9=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 71, 57, 43, 95 ]
97
[ "71+43=114", "114/57=2", "95+2=97" ]
Current State: 97:[71, 57, 43, 95], Operations: [] Exploring Operation: 71+43=114, Resulting Numbers: [57, 95, 114] Generated Node #2: [57, 95, 114] from Operation: 71+43=114 Current State: 97:[57, 95, 114], Operations: ['71+43=114'] Exploring Operation: 114/57=2, Resulting Numbers: [95, 2] Generated Node #3: [95, 2] from Operation: 114/57=2 Current State: 97:[95, 2], Operations: ['71+43=114', '114/57=2'] Exploring Operation: 95+2=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 60, 44, 8, 20 ]
44
[ "60-44=16", "8+20=28", "16+28=44" ]
Current State: 44:[60, 44, 8, 20], Operations: [] Exploring Operation: 60-44=16, Resulting Numbers: [8, 20, 16] Generated Node #2: [8, 20, 16] from Operation: 60-44=16 Current State: 44:[8, 20, 16], Operations: ['60-44=16'] Exploring Operation: 8+20=28, Resulting Numbers: [16, 28] Generated Node #3: [16, 28] from Operation: 8+20=28 Current State: 44:[16, 28], Operations: ['60-44=16', '8+20=28'] Exploring Operation: 16+28=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 35, 8, 86, 42 ]
51
[ "86+42=128", "128/8=16", "35+16=51" ]
Current State: 51:[35, 8, 86, 42], Operations: [] Exploring Operation: 86+42=128, Resulting Numbers: [35, 8, 128] Generated Node #2: [35, 8, 128] from Operation: 86+42=128 Current State: 51:[35, 8, 128], Operations: ['86+42=128'] Exploring Operation: 128/8=16, Resulting Numbers: [35, 16] Generated Node #3: [35, 16] from Operation: 128/8=16 Current State: 51:[35, 16], Operations: ['86+42=128', '128/8=16'] Exploring Operation: 35+16=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 69, 76, 41, 8 ]
13
[ "69+76=145", "145-41=104", "104/8=13" ]
Current State: 13:[69, 76, 41, 8], Operations: [] Exploring Operation: 69+76=145, Resulting Numbers: [41, 8, 145] Generated Node #2: [41, 8, 145] from Operation: 69+76=145 Current State: 13:[41, 8, 145], Operations: ['69+76=145'] Exploring Operation: 145-41=104, Resulting Numbers: [8, 104] Generated Node #3: [8, 104] from Operation: 145-41=104 Current State: 13:[8, 104], Operations: ['69+76=145', '145-41=104'] Exploring Operation: 104/8=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4