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
[ 49, 82, 80, 79 ]
33
[ "82-49=33", "80-79=1", "33*1=33" ]
Current State: 33:[49, 82, 80, 79], Operations: [] Exploring Operation: 82-49=33, Resulting Numbers: [80, 79, 33] Generated Node #2: [80, 79, 33] from Operation: 82-49=33 Current State: 33:[80, 79, 33], Operations: ['82-49=33'] Exploring Operation: 80-79=1, Resulting Numbers: [33, 1] Generated Node #3: [33, 1] from Operation: 80-79=1 Current State: 33:[33, 1], Operations: ['82-49=33', '80-79=1'] Exploring Operation: 33*1=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 71, 52, 76, 81 ]
77
[ "71-52=19", "76/19=4", "81-4=77" ]
Current State: 77:[71, 52, 76, 81], Operations: [] Exploring Operation: 71-52=19, Resulting Numbers: [76, 81, 19] Generated Node #2: [76, 81, 19] from Operation: 71-52=19 Current State: 77:[76, 81, 19], Operations: ['71-52=19'] Exploring Operation: 76/19=4, Resulting Numbers: [81, 4] Generated Node #3: [81, 4] from Operation: 76/19=4 Current State: 77:[81, 4], Operations: ['71-52=19', '76/19=4'] Exploring Operation: 81-4=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 78, 3, 4, 30 ]
36
[ "78-30=48", "3*4=12", "48-12=36" ]
Current State: 36:[78, 3, 4, 30], Operations: [] Exploring Operation: 78-30=48, Resulting Numbers: [3, 4, 48] Generated Node #2: [3, 4, 48] from Operation: 78-30=48 Current State: 36:[3, 4, 48], Operations: ['78-30=48'] Exploring Operation: 3*4=12, Resulting Numbers: [48, 12] Generated Node #3: [48, 12] from Operation: 3*4=12 Current State: 36:[48, 12], Operations: ['78-30=48', '3*4=12'] Exploring Operation: 48-12=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 30, 89, 67, 98 ]
89
[ "30+67=97", "98-97=1", "89*1=89" ]
Current State: 89:[30, 89, 67, 98], Operations: [] Exploring Operation: 30+67=97, Resulting Numbers: [89, 98, 97] Generated Node #2: [89, 98, 97] from Operation: 30+67=97 Current State: 89:[89, 98, 97], Operations: ['30+67=97'] Exploring Operation: 98-97=1, Resulting Numbers: [89, 1] Generated Node #3: [89, 1] from Operation: 98-97=1 Current State: 89:[89, 1], Operations: ['30+67=97', '98-97=1'] Exploring Operation: 89*1=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 24, 63, 21, 37 ]
42
[ "63-24=39", "39-37=2", "21*2=42" ]
Current State: 42:[24, 63, 21, 37], Operations: [] Exploring Operation: 63-24=39, Resulting Numbers: [21, 37, 39] Generated Node #2: [21, 37, 39] from Operation: 63-24=39 Current State: 42:[21, 37, 39], Operations: ['63-24=39'] Exploring Operation: 39-37=2, Resulting Numbers: [21, 2] Generated Node #3: [21, 2] from Operation: 39-37=2 Current State: 42:[21, 2], Operations: ['63-24=39', '39-37=2'] Exploring Operation: 21*2=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 65, 66, 67, 74 ]
70
[ "67-65=2", "66+74=140", "140/2=70" ]
Current State: 70:[65, 66, 67, 74], Operations: [] Exploring Operation: 67-65=2, Resulting Numbers: [66, 74, 2] Generated Node #2: [66, 74, 2] from Operation: 67-65=2 Current State: 70:[66, 74, 2], Operations: ['67-65=2'] Exploring Operation: 66+74=140, Resulting Numbers: [2, 140] Generated Node #3: [2, 140] from Operation: 66+74=140 Current State: 70:[2, 140], Operations: ['67-65=2', '66+74=140'] Exploring Operation: 140/2=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 5, 79, 66, 2 ]
97
[ "66-5=61", "79*2=158", "158-61=97" ]
Current State: 97:[5, 79, 66, 2], Operations: [] Exploring Operation: 66-5=61, Resulting Numbers: [79, 2, 61] Generated Node #2: [79, 2, 61] from Operation: 66-5=61 Current State: 97:[79, 2, 61], Operations: ['66-5=61'] Exploring Operation: 79*2=158, Resulting Numbers: [61, 158] Generated Node #3: [61, 158] from Operation: 79*2=158 Current State: 97:[61, 158], Operations: ['66-5=61', '79*2=158'] Exploring Operation: 158-61=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 54, 76, 7, 42 ]
85
[ "54*7=378", "378/42=9", "76+9=85" ]
Current State: 85:[54, 76, 7, 42], Operations: [] Exploring Operation: 54*7=378, Resulting Numbers: [76, 42, 378] Generated Node #2: [76, 42, 378] from Operation: 54*7=378 Current State: 85:[76, 42, 378], Operations: ['54*7=378'] Exploring Operation: 378/42=9, Resulting Numbers: [76, 9] Generated Node #3: [76, 9] from Operation: 378/42=9 Current State: 85:[76, 9], Operations: ['54*7=378', '378/42=9'] Exploring Operation: 76+9=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 40, 58, 80, 18 ]
81
[ "58-40=18", "18/18=1", "80+1=81" ]
Current State: 81:[40, 58, 80, 18], Operations: [] Exploring Operation: 58-40=18, Resulting Numbers: [80, 18, 18] Generated Node #2: [80, 18, 18] from Operation: 58-40=18 Current State: 81:[80, 18, 18], Operations: ['58-40=18'] Exploring Operation: 18/18=1, Resulting Numbers: [80, 1] Generated Node #3: [80, 1] from Operation: 18/18=1 Current State: 81:[80, 1], Operations: ['58-40=18', '18/18=1'] Exploring Operation: 80+1=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 7, 81, 78, 9 ]
76
[ "7+78=85", "81/9=9", "85-9=76" ]
Current State: 76:[7, 81, 78, 9], Operations: [] Exploring Operation: 7+78=85, Resulting Numbers: [81, 9, 85] Generated Node #2: [81, 9, 85] from Operation: 7+78=85 Current State: 76:[81, 9, 85], Operations: ['7+78=85'] Exploring Operation: 81/9=9, Resulting Numbers: [85, 9] Generated Node #3: [85, 9] from Operation: 81/9=9 Current State: 76:[85, 9], Operations: ['7+78=85', '81/9=9'] Exploring Operation: 85-9=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 69, 23, 12, 17 ]
53
[ "69/23=3", "12*3=36", "17+36=53" ]
Current State: 53:[69, 23, 12, 17], Operations: [] Exploring Operation: 69/23=3, Resulting Numbers: [12, 17, 3] Generated Node #2: [12, 17, 3] from Operation: 69/23=3 Current State: 53:[12, 17, 3], Operations: ['69/23=3'] Exploring Operation: 12*3=36, Resulting Numbers: [17, 36] Generated Node #3: [17, 36] from Operation: 12*3=36 Current State: 53:[17, 36], Operations: ['69/23=3', '12*3=36'] Exploring Operation: 17+36=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 59, 43, 80, 61 ]
66
[ "59-43=16", "80/16=5", "61+5=66" ]
Current State: 66:[59, 43, 80, 61], Operations: [] Exploring Operation: 59-43=16, Resulting Numbers: [80, 61, 16] Generated Node #2: [80, 61, 16] from Operation: 59-43=16 Current State: 66:[80, 61, 16], Operations: ['59-43=16'] Exploring Operation: 80/16=5, Resulting Numbers: [61, 5] Generated Node #3: [61, 5] from Operation: 80/16=5 Current State: 66:[61, 5], Operations: ['59-43=16', '80/16=5'] Exploring Operation: 61+5=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 48, 85, 92, 98 ]
57
[ "48+85=133", "92+98=190", "190-133=57" ]
Current State: 57:[48, 85, 92, 98], Operations: [] Exploring Operation: 48+85=133, Resulting Numbers: [92, 98, 133] Generated Node #2: [92, 98, 133] from Operation: 48+85=133 Current State: 57:[92, 98, 133], Operations: ['48+85=133'] Exploring Operation: 92+98=190, Resulting Numbers: [133, 190] Generated Node #3: [133, 190] from Operation: 92+98=190 Current State: 57:[133, 190], Operations: ['48+85=133', '92+98=190'] Exploring Operation: 190-133=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 45, 11, 86, 2 ]
99
[ "45+11=56", "86/2=43", "56+43=99" ]
Current State: 99:[45, 11, 86, 2], Operations: [] Exploring Operation: 45+11=56, Resulting Numbers: [86, 2, 56] Generated Node #2: [86, 2, 56] from Operation: 45+11=56 Current State: 99:[86, 2, 56], Operations: ['45+11=56'] Exploring Operation: 86/2=43, Resulting Numbers: [56, 43] Generated Node #3: [56, 43] from Operation: 86/2=43 Current State: 99:[56, 43], Operations: ['45+11=56', '86/2=43'] Exploring Operation: 56+43=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 22, 61, 41, 38 ]
63
[ "41-22=19", "38/19=2", "61+2=63" ]
Current State: 63:[22, 61, 41, 38], Operations: [] Exploring Operation: 41-22=19, Resulting Numbers: [61, 38, 19] Generated Node #2: [61, 38, 19] from Operation: 41-22=19 Current State: 63:[61, 38, 19], Operations: ['41-22=19'] Exploring Operation: 38/19=2, Resulting Numbers: [61, 2] Generated Node #3: [61, 2] from Operation: 38/19=2 Current State: 63:[61, 2], Operations: ['41-22=19', '38/19=2'] Exploring Operation: 61+2=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 8, 53, 54, 69 ]
27
[ "8*54=432", "69-53=16", "432/16=27" ]
Current State: 27:[8, 53, 54, 69], Operations: [] Exploring Operation: 8*54=432, Resulting Numbers: [53, 69, 432] Generated Node #2: [53, 69, 432] from Operation: 8*54=432 Current State: 27:[53, 69, 432], Operations: ['8*54=432'] Exploring Operation: 69-53=16, Resulting Numbers: [432, 16] Generated Node #3: [432, 16] from Operation: 69-53=16 Current State: 27:[432, 16], Operations: ['8*54=432', '69-53=16'] Exploring Operation: 432/16=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 4, 27, 90, 24 ]
33
[ "4*24=96", "90-27=63", "96-63=33" ]
Current State: 33:[4, 27, 90, 24], Operations: [] Exploring Operation: 4*24=96, Resulting Numbers: [27, 90, 96] Generated Node #2: [27, 90, 96] from Operation: 4*24=96 Current State: 33:[27, 90, 96], Operations: ['4*24=96'] Exploring Operation: 90-27=63, Resulting Numbers: [96, 63] Generated Node #3: [96, 63] from Operation: 90-27=63 Current State: 33:[96, 63], Operations: ['4*24=96', '90-27=63'] Exploring Operation: 96-63=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 33, 21, 11, 8 ]
44
[ "33-21=12", "12-8=4", "11*4=44" ]
Current State: 44:[33, 21, 11, 8], Operations: [] Exploring Operation: 33-21=12, Resulting Numbers: [11, 8, 12] Generated Node #2: [11, 8, 12] from Operation: 33-21=12 Current State: 44:[11, 8, 12], Operations: ['33-21=12'] Exploring Operation: 12-8=4, Resulting Numbers: [11, 4] Generated Node #3: [11, 4] from Operation: 12-8=4 Current State: 44:[11, 4], Operations: ['33-21=12', '12-8=4'] Exploring Operation: 11*4=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 96, 9, 75, 15 ]
92
[ "96-9=87", "75/15=5", "87+5=92" ]
Current State: 92:[96, 9, 75, 15], Operations: [] Exploring Operation: 96-9=87, Resulting Numbers: [75, 15, 87] Generated Node #2: [75, 15, 87] from Operation: 96-9=87 Current State: 92:[75, 15, 87], Operations: ['96-9=87'] Exploring Operation: 75/15=5, Resulting Numbers: [87, 5] Generated Node #3: [87, 5] from Operation: 75/15=5 Current State: 92:[87, 5], Operations: ['96-9=87', '75/15=5'] Exploring Operation: 87+5=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 77, 95, 50, 68 ]
54
[ "77+95=172", "50+68=118", "172-118=54" ]
Current State: 54:[77, 95, 50, 68], Operations: [] Exploring Operation: 77+95=172, Resulting Numbers: [50, 68, 172] Generated Node #2: [50, 68, 172] from Operation: 77+95=172 Current State: 54:[50, 68, 172], Operations: ['77+95=172'] Exploring Operation: 50+68=118, Resulting Numbers: [172, 118] Generated Node #3: [172, 118] from Operation: 50+68=118 Current State: 54:[172, 118], Operations: ['77+95=172', '50+68=118'] Exploring Operation: 172-118=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 27, 34, 6, 97 ]
42
[ "27+34=61", "6+97=103", "103-61=42" ]
Current State: 42:[27, 34, 6, 97], Operations: [] Exploring Operation: 27+34=61, Resulting Numbers: [6, 97, 61] Generated Node #2: [6, 97, 61] from Operation: 27+34=61 Current State: 42:[6, 97, 61], Operations: ['27+34=61'] Exploring Operation: 6+97=103, Resulting Numbers: [61, 103] Generated Node #3: [61, 103] from Operation: 6+97=103 Current State: 42:[61, 103], Operations: ['27+34=61', '6+97=103'] Exploring Operation: 103-61=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 34, 60, 62, 49 ]
32
[ "62-60=2", "34/2=17", "49-17=32" ]
Current State: 32:[34, 60, 62, 49], Operations: [] Exploring Operation: 62-60=2, Resulting Numbers: [34, 49, 2] Generated Node #2: [34, 49, 2] from Operation: 62-60=2 Current State: 32:[34, 49, 2], Operations: ['62-60=2'] Exploring Operation: 34/2=17, Resulting Numbers: [49, 17] Generated Node #3: [49, 17] from Operation: 34/2=17 Current State: 32:[49, 17], Operations: ['62-60=2', '34/2=17'] Exploring Operation: 49-17=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 80, 57, 49, 77 ]
11
[ "80+57=137", "49+77=126", "137-126=11" ]
Current State: 11:[80, 57, 49, 77], Operations: [] Exploring Operation: 80+57=137, Resulting Numbers: [49, 77, 137] Generated Node #2: [49, 77, 137] from Operation: 80+57=137 Current State: 11:[49, 77, 137], Operations: ['80+57=137'] Exploring Operation: 49+77=126, Resulting Numbers: [137, 126] Generated Node #3: [137, 126] from Operation: 49+77=126 Current State: 11:[137, 126], Operations: ['80+57=137', '49+77=126'] Exploring Operation: 137-126=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 6, 52, 8, 2 ]
17
[ "52+2=54", "54/6=9", "8+9=17" ]
Current State: 17:[6, 52, 8, 2], Operations: [] Exploring Operation: 52+2=54, Resulting Numbers: [6, 8, 54] Generated Node #2: [6, 8, 54] from Operation: 52+2=54 Current State: 17:[6, 8, 54], Operations: ['52+2=54'] Exploring Operation: 54/6=9, Resulting Numbers: [8, 9] Generated Node #3: [8, 9] from Operation: 54/6=9 Current State: 17:[8, 9], Operations: ['52+2=54', '54/6=9'] Exploring Operation: 8+9=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 15, 40, 63, 86 ]
17
[ "40+86=126", "126/63=2", "15+2=17" ]
Current State: 17:[15, 40, 63, 86], Operations: [] Exploring Operation: 40+86=126, Resulting Numbers: [15, 63, 126] Generated Node #2: [15, 63, 126] from Operation: 40+86=126 Current State: 17:[15, 63, 126], Operations: ['40+86=126'] Exploring Operation: 126/63=2, Resulting Numbers: [15, 2] Generated Node #3: [15, 2] from Operation: 126/63=2 Current State: 17:[15, 2], Operations: ['40+86=126', '126/63=2'] Exploring Operation: 15+2=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 98, 41, 82, 85 ]
11
[ "98-85=13", "82/41=2", "13-2=11" ]
Current State: 11:[98, 41, 82, 85], Operations: [] Exploring Operation: 98-85=13, Resulting Numbers: [41, 82, 13] Generated Node #2: [41, 82, 13] from Operation: 98-85=13 Current State: 11:[41, 82, 13], Operations: ['98-85=13'] Exploring Operation: 82/41=2, Resulting Numbers: [13, 2] Generated Node #3: [13, 2] from Operation: 82/41=2 Current State: 11:[13, 2], Operations: ['98-85=13', '82/41=2'] Exploring Operation: 13-2=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 10, 74, 37, 3 ]
26
[ "10+3=13", "74/37=2", "13*2=26" ]
Current State: 26:[10, 74, 37, 3], Operations: [] Exploring Operation: 10+3=13, Resulting Numbers: [74, 37, 13] Generated Node #2: [74, 37, 13] from Operation: 10+3=13 Current State: 26:[74, 37, 13], Operations: ['10+3=13'] Exploring Operation: 74/37=2, Resulting Numbers: [13, 2] Generated Node #3: [13, 2] from Operation: 74/37=2 Current State: 26:[13, 2], Operations: ['10+3=13', '74/37=2'] Exploring Operation: 13*2=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 30, 19, 34, 74 ]
37
[ "34-19=15", "30/15=2", "74/2=37" ]
Current State: 37:[30, 19, 34, 74], Operations: [] Exploring Operation: 34-19=15, Resulting Numbers: [30, 74, 15] Generated Node #2: [30, 74, 15] from Operation: 34-19=15 Current State: 37:[30, 74, 15], Operations: ['34-19=15'] Exploring Operation: 30/15=2, Resulting Numbers: [74, 2] Generated Node #3: [74, 2] from Operation: 30/15=2 Current State: 37:[74, 2], Operations: ['34-19=15', '30/15=2'] Exploring Operation: 74/2=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 96, 7, 98, 44 ]
66
[ "96-44=52", "98/7=14", "52+14=66" ]
Current State: 66:[96, 7, 98, 44], Operations: [] Exploring Operation: 96-44=52, Resulting Numbers: [7, 98, 52] Generated Node #2: [7, 98, 52] from Operation: 96-44=52 Current State: 66:[7, 98, 52], Operations: ['96-44=52'] Exploring Operation: 98/7=14, Resulting Numbers: [52, 14] Generated Node #3: [52, 14] from Operation: 98/7=14 Current State: 66:[52, 14], Operations: ['96-44=52', '98/7=14'] Exploring Operation: 52+14=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 45, 31, 15, 84 ]
90
[ "45-31=14", "15*84=1260", "1260/14=90" ]
Current State: 90:[45, 31, 15, 84], Operations: [] Exploring Operation: 45-31=14, Resulting Numbers: [15, 84, 14] Generated Node #2: [15, 84, 14] from Operation: 45-31=14 Current State: 90:[15, 84, 14], Operations: ['45-31=14'] Exploring Operation: 15*84=1260, Resulting Numbers: [14, 1260] Generated Node #3: [14, 1260] from Operation: 15*84=1260 Current State: 90:[14, 1260], Operations: ['45-31=14', '15*84=1260'] Exploring Operation: 1260/14=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 12, 74, 2, 21 ]
29
[ "12*2=24", "74-21=53", "53-24=29" ]
Current State: 29:[12, 74, 2, 21], Operations: [] Exploring Operation: 12*2=24, Resulting Numbers: [74, 21, 24] Generated Node #2: [74, 21, 24] from Operation: 12*2=24 Current State: 29:[74, 21, 24], Operations: ['12*2=24'] Exploring Operation: 74-21=53, Resulting Numbers: [24, 53] Generated Node #3: [24, 53] from Operation: 74-21=53 Current State: 29:[24, 53], Operations: ['12*2=24', '74-21=53'] Exploring Operation: 53-24=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 30, 74, 71, 23 ]
92
[ "74-30=44", "71-23=48", "44+48=92" ]
Current State: 92:[30, 74, 71, 23], Operations: [] Exploring Operation: 74-30=44, Resulting Numbers: [71, 23, 44] Generated Node #2: [71, 23, 44] from Operation: 74-30=44 Current State: 92:[71, 23, 44], Operations: ['74-30=44'] Exploring Operation: 71-23=48, Resulting Numbers: [44, 48] Generated Node #3: [44, 48] from Operation: 71-23=48 Current State: 92:[44, 48], Operations: ['74-30=44', '71-23=48'] Exploring Operation: 44+48=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 95, 4, 17, 1 ]
36
[ "4+1=5", "95/5=19", "17+19=36" ]
Current State: 36:[95, 4, 17, 1], Operations: [] Exploring Operation: 4+1=5, Resulting Numbers: [95, 17, 5] Generated Node #2: [95, 17, 5] from Operation: 4+1=5 Current State: 36:[95, 17, 5], Operations: ['4+1=5'] Exploring Operation: 95/5=19, Resulting Numbers: [17, 19] Generated Node #3: [17, 19] from Operation: 95/5=19 Current State: 36:[17, 19], Operations: ['4+1=5', '95/5=19'] Exploring Operation: 17+19=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 74, 54, 43, 1 ]
62
[ "74-54=20", "43-1=42", "20+42=62" ]
Current State: 62:[74, 54, 43, 1], Operations: [] Exploring Operation: 74-54=20, Resulting Numbers: [43, 1, 20] Generated Node #2: [43, 1, 20] from Operation: 74-54=20 Current State: 62:[43, 1, 20], Operations: ['74-54=20'] Exploring Operation: 43-1=42, Resulting Numbers: [20, 42] Generated Node #3: [20, 42] from Operation: 43-1=42 Current State: 62:[20, 42], Operations: ['74-54=20', '43-1=42'] Exploring Operation: 20+42=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 32, 84, 38, 76 ]
14
[ "84-32=52", "76-38=38", "52-38=14" ]
Current State: 14:[32, 84, 38, 76], Operations: [] Exploring Operation: 84-32=52, Resulting Numbers: [38, 76, 52] Generated Node #2: [38, 76, 52] from Operation: 84-32=52 Current State: 14:[38, 76, 52], Operations: ['84-32=52'] Exploring Operation: 76-38=38, Resulting Numbers: [52, 38] Generated Node #3: [52, 38] from Operation: 76-38=38 Current State: 14:[52, 38], Operations: ['84-32=52', '76-38=38'] Exploring Operation: 52-38=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 44, 12, 32, 9 ]
55
[ "44-12=32", "32-9=23", "32+23=55" ]
Current State: 55:[44, 12, 32, 9], Operations: [] Exploring Operation: 44-12=32, Resulting Numbers: [32, 9, 32] Generated Node #2: [32, 9, 32] from Operation: 44-12=32 Current State: 55:[32, 9, 32], Operations: ['44-12=32'] Exploring Operation: 32-9=23, Resulting Numbers: [23] 23,55 equal: Goal Reached Exploring Operation: 32+23=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 93, 79, 87, 27 ]
83
[ "93-87=6", "27*6=162", "162-79=83" ]
Current State: 83:[93, 79, 87, 27], Operations: [] Exploring Operation: 93-87=6, Resulting Numbers: [79, 27, 6] Generated Node #2: [79, 27, 6] from Operation: 93-87=6 Current State: 83:[79, 27, 6], Operations: ['93-87=6'] Exploring Operation: 27*6=162, Resulting Numbers: [79, 162] Generated Node #3: [79, 162] from Operation: 27*6=162 Current State: 83:[79, 162], Operations: ['93-87=6', '27*6=162'] Exploring Operation: 162-79=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 36, 97, 35, 7 ]
91
[ "36+97=133", "35+7=42", "133-42=91" ]
Current State: 91:[36, 97, 35, 7], Operations: [] Exploring Operation: 36+97=133, Resulting Numbers: [35, 7, 133] Generated Node #2: [35, 7, 133] from Operation: 36+97=133 Current State: 91:[35, 7, 133], Operations: ['36+97=133'] Exploring Operation: 35+7=42, Resulting Numbers: [133, 42] Generated Node #3: [133, 42] from Operation: 35+7=42 Current State: 91:[133, 42], Operations: ['36+97=133', '35+7=42'] Exploring Operation: 133-42=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 7, 15, 68, 93 ]
88
[ "7+68=75", "75/15=5", "93-5=88" ]
Current State: 88:[7, 15, 68, 93], Operations: [] Exploring Operation: 7+68=75, Resulting Numbers: [15, 93, 75] Generated Node #2: [15, 93, 75] from Operation: 7+68=75 Current State: 88:[15, 93, 75], Operations: ['7+68=75'] Exploring Operation: 75/15=5, Resulting Numbers: [93, 5] Generated Node #3: [93, 5] from Operation: 75/15=5 Current State: 88:[93, 5], Operations: ['7+68=75', '75/15=5'] Exploring Operation: 93-5=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 3, 59, 23, 89 ]
77
[ "59-23=36", "36/3=12", "89-12=77" ]
Current State: 77:[3, 59, 23, 89], Operations: [] Exploring Operation: 59-23=36, Resulting Numbers: [3, 89, 36] Generated Node #2: [3, 89, 36] from Operation: 59-23=36 Current State: 77:[3, 89, 36], Operations: ['59-23=36'] Exploring Operation: 36/3=12, Resulting Numbers: [89, 12] Generated Node #3: [89, 12] from Operation: 36/3=12 Current State: 77:[89, 12], Operations: ['59-23=36', '36/3=12'] Exploring Operation: 89-12=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 60, 84, 27, 96 ]
22
[ "96-84=12", "60/12=5", "27-5=22" ]
Current State: 22:[60, 84, 27, 96], Operations: [] Exploring Operation: 96-84=12, Resulting Numbers: [60, 27, 12] Generated Node #2: [60, 27, 12] from Operation: 96-84=12 Current State: 22:[60, 27, 12], Operations: ['96-84=12'] Exploring Operation: 60/12=5, Resulting Numbers: [27, 5] Generated Node #3: [27, 5] from Operation: 60/12=5 Current State: 22:[27, 5], Operations: ['96-84=12', '60/12=5'] Exploring Operation: 27-5=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 28, 30, 29, 47 ]
18
[ "28+30=58", "29+47=76", "76-58=18" ]
Current State: 18:[28, 30, 29, 47], Operations: [] Exploring Operation: 28+30=58, Resulting Numbers: [29, 47, 58] Generated Node #2: [29, 47, 58] from Operation: 28+30=58 Current State: 18:[29, 47, 58], Operations: ['28+30=58'] Exploring Operation: 29+47=76, Resulting Numbers: [58, 76] Generated Node #3: [58, 76] from Operation: 29+47=76 Current State: 18:[58, 76], Operations: ['28+30=58', '29+47=76'] Exploring Operation: 76-58=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 39, 34, 7, 82 ]
94
[ "39-34=5", "7+82=89", "5+89=94" ]
Current State: 94:[39, 34, 7, 82], Operations: [] Exploring Operation: 39-34=5, Resulting Numbers: [7, 82, 5] Generated Node #2: [7, 82, 5] from Operation: 39-34=5 Current State: 94:[7, 82, 5], Operations: ['39-34=5'] Exploring Operation: 7+82=89, Resulting Numbers: [5, 89] Generated Node #3: [5, 89] from Operation: 7+82=89 Current State: 94:[5, 89], Operations: ['39-34=5', '7+82=89'] Exploring Operation: 5+89=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 99, 23, 30, 70 ]
73
[ "99-30=69", "69/23=3", "70+3=73" ]
Current State: 73:[99, 23, 30, 70], Operations: [] Exploring Operation: 99-30=69, Resulting Numbers: [23, 70, 69] Generated Node #2: [23, 70, 69] from Operation: 99-30=69 Current State: 73:[23, 70, 69], Operations: ['99-30=69'] Exploring Operation: 69/23=3, Resulting Numbers: [70, 3] Generated Node #3: [70, 3] from Operation: 69/23=3 Current State: 73:[70, 3], Operations: ['99-30=69', '69/23=3'] Exploring Operation: 70+3=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 48, 19, 11, 4 ]
42
[ "48/4=12", "19+11=30", "12+30=42" ]
Current State: 42:[48, 19, 11, 4], Operations: [] Exploring Operation: 48/4=12, Resulting Numbers: [19, 11, 12] Generated Node #2: [19, 11, 12] from Operation: 48/4=12 Current State: 42:[19, 11, 12], Operations: ['48/4=12'] Exploring Operation: 19+11=30, Resulting Numbers: [12, 30] Generated Node #3: [12, 30] from Operation: 19+11=30 Current State: 42:[12, 30], Operations: ['48/4=12', '19+11=30'] Exploring Operation: 12+30=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 69, 92, 62, 21 ]
90
[ "92*21=1932", "1932/69=28", "62+28=90" ]
Current State: 90:[69, 92, 62, 21], Operations: [] Exploring Operation: 92*21=1932, Resulting Numbers: [69, 62, 1932] Generated Node #2: [69, 62, 1932] from Operation: 92*21=1932 Current State: 90:[69, 62, 1932], Operations: ['92*21=1932'] Exploring Operation: 1932/69=28, Resulting Numbers: [62, 28] Generated Node #3: [62, 28] from Operation: 1932/69=28 Current State: 90:[62, 28], Operations: ['92*21=1932', '1932/69=28'] Exploring Operation: 62+28=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 88, 4, 48, 51 ]
95
[ "88+4=92", "51-48=3", "92+3=95" ]
Current State: 95:[88, 4, 48, 51], Operations: [] Exploring Operation: 88+4=92, Resulting Numbers: [48, 51, 92] Generated Node #2: [48, 51, 92] from Operation: 88+4=92 Current State: 95:[48, 51, 92], Operations: ['88+4=92'] Exploring Operation: 51-48=3, Resulting Numbers: [92, 3] Generated Node #3: [92, 3] from Operation: 51-48=3 Current State: 95:[92, 3], Operations: ['88+4=92', '51-48=3'] Exploring Operation: 92+3=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 72, 37, 29, 70 ]
16
[ "72-70=2", "37-29=8", "2*8=16" ]
Current State: 16:[72, 37, 29, 70], Operations: [] Exploring Operation: 72-70=2, Resulting Numbers: [37, 29, 2] Generated Node #2: [37, 29, 2] from Operation: 72-70=2 Current State: 16:[37, 29, 2], Operations: ['72-70=2'] Exploring Operation: 37-29=8, Resulting Numbers: [2, 8] Generated Node #3: [2, 8] from Operation: 37-29=8 Current State: 16:[2, 8], Operations: ['72-70=2', '37-29=8'] Exploring Operation: 2*8=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 27, 6, 94, 3 ]
71
[ "27*6=162", "94-3=91", "162-91=71" ]
Current State: 71:[27, 6, 94, 3], Operations: [] Exploring Operation: 27*6=162, Resulting Numbers: [94, 3, 162] Generated Node #2: [94, 3, 162] from Operation: 27*6=162 Current State: 71:[94, 3, 162], Operations: ['27*6=162'] Exploring Operation: 94-3=91, Resulting Numbers: [162, 91] Generated Node #3: [162, 91] from Operation: 94-3=91 Current State: 71:[162, 91], Operations: ['27*6=162', '94-3=91'] Exploring Operation: 162-91=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 73, 7, 34, 41 ]
72
[ "7+34=41", "41/41=1", "73-1=72" ]
Current State: 72:[73, 7, 34, 41], Operations: [] Exploring Operation: 7+34=41, Resulting Numbers: [73, 41, 41] Generated Node #2: [73, 41, 41] from Operation: 7+34=41 Current State: 72:[73, 41, 41], Operations: ['7+34=41'] Exploring Operation: 41/41=1, Resulting Numbers: [73, 1] Generated Node #3: [73, 1] from Operation: 41/41=1 Current State: 72:[73, 1], Operations: ['7+34=41', '41/41=1'] Exploring Operation: 73-1=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 75, 87, 47, 11 ]
46
[ "87-75=12", "47+11=58", "58-12=46" ]
Current State: 46:[75, 87, 47, 11], Operations: [] Exploring Operation: 87-75=12, Resulting Numbers: [47, 11, 12] Generated Node #2: [47, 11, 12] from Operation: 87-75=12 Current State: 46:[47, 11, 12], Operations: ['87-75=12'] Exploring Operation: 47+11=58, Resulting Numbers: [12, 58] Generated Node #3: [12, 58] from Operation: 47+11=58 Current State: 46:[12, 58], Operations: ['87-75=12', '47+11=58'] Exploring Operation: 58-12=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 17, 72, 24, 24 ]
55
[ "72-17=55", "24-24=0", "55+0=55" ]
Current State: 55:[17, 72, 24, 24], Operations: [] Exploring Operation: 72-17=55, Resulting Numbers: [24, 24, 55] Generated Node #2: [24, 24, 55] from Operation: 72-17=55 Current State: 55:[24, 24, 55], Operations: ['72-17=55'] Exploring Operation: 24-24=0, Resulting Numbers: [55, 0] Generated Node #3: [55, 0] from Operation: 24-24=0 Current State: 55:[55, 0], Operations: ['72-17=55', '24-24=0'] Exploring Operation: 55+0=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 27, 64, 48, 48 ]
64
[ "48-48=0", "27*0=0", "64+0=64" ]
Current State: 64:[27, 64, 48, 48], Operations: [] Exploring Operation: 48-48=0, Resulting Numbers: [27, 64, 0] Generated Node #2: [27, 64, 0] from Operation: 48-48=0 Current State: 64:[27, 64, 0], Operations: ['48-48=0'] Exploring Operation: 27*0=0, Resulting Numbers: [64, 0] Generated Node #3: [64, 0] from Operation: 27*0=0 Current State: 64:[64, 0], Operations: ['48-48=0', '27*0=0'] Exploring Operation: 64+0=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 80, 38, 24, 48 ]
61
[ "38*24=912", "912/48=19", "80-19=61" ]
Current State: 61:[80, 38, 24, 48], Operations: [] Exploring Operation: 38*24=912, Resulting Numbers: [80, 48, 912] Generated Node #2: [80, 48, 912] from Operation: 38*24=912 Current State: 61:[80, 48, 912], Operations: ['38*24=912'] Exploring Operation: 912/48=19, Resulting Numbers: [80, 19] Generated Node #3: [80, 19] from Operation: 912/48=19 Current State: 61:[80, 19], Operations: ['38*24=912', '912/48=19'] Exploring Operation: 80-19=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 1, 65, 23, 30 ]
72
[ "1*65=65", "30-23=7", "65+7=72" ]
Current State: 72:[1, 65, 23, 30], Operations: [] Exploring Operation: 1*65=65, Resulting Numbers: [23, 30, 65] Generated Node #2: [23, 30, 65] from Operation: 1*65=65 Current State: 72:[23, 30, 65], Operations: ['1*65=65'] Exploring Operation: 30-23=7, Resulting Numbers: [65, 7] Generated Node #3: [65, 7] from Operation: 30-23=7 Current State: 72:[65, 7], Operations: ['1*65=65', '30-23=7'] Exploring Operation: 65+7=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 98, 91, 8, 34 ]
33
[ "98-91=7", "34-8=26", "7+26=33" ]
Current State: 33:[98, 91, 8, 34], Operations: [] Exploring Operation: 98-91=7, Resulting Numbers: [8, 34, 7] Generated Node #2: [8, 34, 7] from Operation: 98-91=7 Current State: 33:[8, 34, 7], Operations: ['98-91=7'] Exploring Operation: 34-8=26, Resulting Numbers: [7, 26] Generated Node #3: [7, 26] from Operation: 34-8=26 Current State: 33:[7, 26], Operations: ['98-91=7', '34-8=26'] Exploring Operation: 7+26=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 5, 85, 5, 69 ]
53
[ "85-5=80", "80/5=16", "69-16=53" ]
Current State: 53:[5, 85, 5, 69], Operations: [] Exploring Operation: 85-5=80, Resulting Numbers: [69, 80] Generated Node #2: [69, 80] from Operation: 85-5=80 Current State: 53:[69, 80], Operations: ['85-5=80'] Exploring Operation: 80/5=16, Resulting Numbers: [69, 16] Generated Node #3: [69, 16] from Operation: 80/5=16 Current State: 53:[69, 16], Operations: ['85-5=80', '80/5=16'] Exploring Operation: 69-16=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 14, 97, 46, 16 ]
82
[ "14*97=1358", "1358-46=1312", "1312/16=82" ]
Current State: 82:[14, 97, 46, 16], Operations: [] Exploring Operation: 14*97=1358, Resulting Numbers: [46, 16, 1358] Generated Node #2: [46, 16, 1358] from Operation: 14*97=1358 Current State: 82:[46, 16, 1358], Operations: ['14*97=1358'] Exploring Operation: 1358-46=1312, Resulting Numbers: [16, 1312] Generated Node #3: [16, 1312] from Operation: 1358-46=1312 Current State: 82:[16, 1312], Operations: ['14*97=1358', '1358-46=1312'] Exploring Operation: 1312/16=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 10, 13, 68, 49 ]
90
[ "68+49=117", "10*117=1170", "1170/13=90" ]
Current State: 90:[10, 13, 68, 49], Operations: [] Exploring Operation: 68+49=117, Resulting Numbers: [10, 13, 117] Generated Node #2: [10, 13, 117] from Operation: 68+49=117 Current State: 90:[10, 13, 117], Operations: ['68+49=117'] Exploring Operation: 10*117=1170, Resulting Numbers: [13, 1170] Generated Node #3: [13, 1170] from Operation: 10*117=1170 Current State: 90:[13, 1170], Operations: ['68+49=117', '10*117=1170'] Exploring Operation: 1170/13=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 53, 57, 22, 65 ]
91
[ "57-53=4", "22+65=87", "4+87=91" ]
Current State: 91:[53, 57, 22, 65], Operations: [] Exploring Operation: 57-53=4, Resulting Numbers: [22, 65, 4] Generated Node #2: [22, 65, 4] from Operation: 57-53=4 Current State: 91:[22, 65, 4], Operations: ['57-53=4'] Exploring Operation: 22+65=87, Resulting Numbers: [4, 87] Generated Node #3: [4, 87] from Operation: 22+65=87 Current State: 91:[4, 87], Operations: ['57-53=4', '22+65=87'] Exploring Operation: 4+87=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 17, 8, 10, 90 ]
64
[ "90/10=9", "17-9=8", "8*8=64" ]
Current State: 64:[17, 8, 10, 90], Operations: [] Exploring Operation: 90/10=9, Resulting Numbers: [17, 8, 9] Generated Node #2: [17, 8, 9] from Operation: 90/10=9 Current State: 64:[17, 8, 9], Operations: ['90/10=9'] Exploring Operation: 17-9=8, Resulting Numbers: [8, 8] Generated Node #3: [8, 8] from Operation: 17-9=8 Current State: 64:[8, 8], Operations: ['90/10=9', '17-9=8'] Exploring Operation: 8*8=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 34, 27, 11, 69 ]
51
[ "34-27=7", "69-11=58", "58-7=51" ]
Current State: 51:[34, 27, 11, 69], Operations: [] Exploring Operation: 34-27=7, Resulting Numbers: [11, 69, 7] Generated Node #2: [11, 69, 7] from Operation: 34-27=7 Current State: 51:[11, 69, 7], Operations: ['34-27=7'] Exploring Operation: 69-11=58, Resulting Numbers: [7, 58] Generated Node #3: [7, 58] from Operation: 69-11=58 Current State: 51:[7, 58], Operations: ['34-27=7', '69-11=58'] Exploring Operation: 58-7=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 73, 27, 46, 84 ]
62
[ "73+27=100", "84-46=38", "100-38=62" ]
Current State: 62:[73, 27, 46, 84], Operations: [] Exploring Operation: 73+27=100, Resulting Numbers: [46, 84, 100] Generated Node #2: [46, 84, 100] from Operation: 73+27=100 Current State: 62:[46, 84, 100], Operations: ['73+27=100'] Exploring Operation: 84-46=38, Resulting Numbers: [100, 38] Generated Node #3: [100, 38] from Operation: 84-46=38 Current State: 62:[100, 38], Operations: ['73+27=100', '84-46=38'] Exploring Operation: 100-38=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 7, 75, 20, 35 ]
35
[ "7*75=525", "35-20=15", "525/15=35" ]
Current State: 35:[7, 75, 20, 35], Operations: [] Exploring Operation: 7*75=525, Resulting Numbers: [20, 35, 525] Generated Node #2: [20, 35, 525] from Operation: 7*75=525 Current State: 35:[20, 35, 525], Operations: ['7*75=525'] Exploring Operation: 35-20=15, Resulting Numbers: [525, 15] Generated Node #3: [525, 15] from Operation: 35-20=15 Current State: 35:[525, 15], Operations: ['7*75=525', '35-20=15'] Exploring Operation: 525/15=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 28, 69, 94, 63 ]
74
[ "69-63=6", "28*6=168", "168-94=74" ]
Current State: 74:[28, 69, 94, 63], Operations: [] Exploring Operation: 69-63=6, Resulting Numbers: [28, 94, 6] Generated Node #2: [28, 94, 6] from Operation: 69-63=6 Current State: 74:[28, 94, 6], Operations: ['69-63=6'] Exploring Operation: 28*6=168, Resulting Numbers: [94, 168] Generated Node #3: [94, 168] from Operation: 28*6=168 Current State: 74:[94, 168], Operations: ['69-63=6', '28*6=168'] Exploring Operation: 168-94=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 89, 68, 34, 51 ]
93
[ "51-34=17", "68/17=4", "89+4=93" ]
Current State: 93:[89, 68, 34, 51], Operations: [] Exploring Operation: 51-34=17, Resulting Numbers: [89, 68, 17] Generated Node #2: [89, 68, 17] from Operation: 51-34=17 Current State: 93:[89, 68, 17], Operations: ['51-34=17'] Exploring Operation: 68/17=4, Resulting Numbers: [89, 4] Generated Node #3: [89, 4] from Operation: 68/17=4 Current State: 93:[89, 4], Operations: ['51-34=17', '68/17=4'] Exploring Operation: 89+4=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 74, 73, 43, 27 ]
69
[ "74-73=1", "43+27=70", "70-1=69" ]
Current State: 69:[74, 73, 43, 27], Operations: [] Exploring Operation: 74-73=1, Resulting Numbers: [43, 27, 1] Generated Node #2: [43, 27, 1] from Operation: 74-73=1 Current State: 69:[43, 27, 1], Operations: ['74-73=1'] Exploring Operation: 43+27=70, Resulting Numbers: [1, 70] Generated Node #3: [1, 70] from Operation: 43+27=70 Current State: 69:[1, 70], Operations: ['74-73=1', '43+27=70'] Exploring Operation: 70-1=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 75, 72, 83, 13 ]
77
[ "75+72=147", "83-13=70", "147-70=77" ]
Current State: 77:[75, 72, 83, 13], Operations: [] Exploring Operation: 75+72=147, Resulting Numbers: [83, 13, 147] Generated Node #2: [83, 13, 147] from Operation: 75+72=147 Current State: 77:[83, 13, 147], Operations: ['75+72=147'] Exploring Operation: 83-13=70, Resulting Numbers: [147, 70] Generated Node #3: [147, 70] from Operation: 83-13=70 Current State: 77:[147, 70], Operations: ['75+72=147', '83-13=70'] Exploring Operation: 147-70=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 34, 29, 57, 61 ]
20
[ "34-29=5", "61-57=4", "5*4=20" ]
Current State: 20:[34, 29, 57, 61], Operations: [] Exploring Operation: 34-29=5, Resulting Numbers: [57, 61, 5] Generated Node #2: [57, 61, 5] from Operation: 34-29=5 Current State: 20:[57, 61, 5], Operations: ['34-29=5'] Exploring Operation: 61-57=4, Resulting Numbers: [5, 4] Generated Node #3: [5, 4] from Operation: 61-57=4 Current State: 20:[5, 4], Operations: ['34-29=5', '61-57=4'] Exploring Operation: 5*4=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 46, 17, 93, 30 ]
34
[ "46-17=29", "93-30=63", "63-29=34" ]
Current State: 34:[46, 17, 93, 30], Operations: [] Exploring Operation: 46-17=29, Resulting Numbers: [93, 30, 29] Generated Node #2: [93, 30, 29] from Operation: 46-17=29 Current State: 34:[93, 30, 29], Operations: ['46-17=29'] Exploring Operation: 93-30=63, Resulting Numbers: [29, 63] Generated Node #3: [29, 63] from Operation: 93-30=63 Current State: 34:[29, 63], Operations: ['46-17=29', '93-30=63'] Exploring Operation: 63-29=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 80, 8, 32, 2 ]
13
[ "80*2=160", "160/32=5", "8+5=13" ]
Current State: 13:[80, 8, 32, 2], Operations: [] Exploring Operation: 80*2=160, Resulting Numbers: [8, 32, 160] Generated Node #2: [8, 32, 160] from Operation: 80*2=160 Current State: 13:[8, 32, 160], Operations: ['80*2=160'] Exploring Operation: 160/32=5, Resulting Numbers: [8, 5] Generated Node #3: [8, 5] from Operation: 160/32=5 Current State: 13:[8, 5], Operations: ['80*2=160', '160/32=5'] Exploring Operation: 8+5=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 81, 66, 17, 94 ]
92
[ "81-66=15", "94-17=77", "15+77=92" ]
Current State: 92:[81, 66, 17, 94], Operations: [] Exploring Operation: 81-66=15, Resulting Numbers: [17, 94, 15] Generated Node #2: [17, 94, 15] from Operation: 81-66=15 Current State: 92:[17, 94, 15], Operations: ['81-66=15'] Exploring Operation: 94-17=77, Resulting Numbers: [15, 77] Generated Node #3: [15, 77] from Operation: 94-17=77 Current State: 92:[15, 77], Operations: ['81-66=15', '94-17=77'] Exploring Operation: 15+77=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 71, 85, 79, 1 ]
78
[ "71+85=156", "79-1=78", "156-78=78" ]
Current State: 78:[71, 85, 79, 1], Operations: [] Exploring Operation: 71+85=156, Resulting Numbers: [79, 1, 156] Generated Node #2: [79, 1, 156] from Operation: 71+85=156 Current State: 78:[79, 1, 156], Operations: ['71+85=156'] Exploring Operation: 79-1=78, Resulting Numbers: [156, 78] Generated Node #3: [156, 78] from Operation: 79-1=78 Current State: 78:[156, 78], Operations: ['71+85=156', '79-1=78'] Exploring Operation: 156-78=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 58, 7, 14, 83 ]
77
[ "58+14=72", "83-72=11", "7*11=77" ]
Current State: 77:[58, 7, 14, 83], Operations: [] Exploring Operation: 58+14=72, Resulting Numbers: [7, 83, 72] Generated Node #2: [7, 83, 72] from Operation: 58+14=72 Current State: 77:[7, 83, 72], Operations: ['58+14=72'] Exploring Operation: 83-72=11, Resulting Numbers: [7, 11] Generated Node #3: [7, 11] from Operation: 83-72=11 Current State: 77:[7, 11], Operations: ['58+14=72', '83-72=11'] Exploring Operation: 7*11=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 44, 1, 21, 24 ]
89
[ "44*1=44", "21+24=45", "44+45=89" ]
Current State: 89:[44, 1, 21, 24], Operations: [] Exploring Operation: 44*1=44, Resulting Numbers: [21, 24, 44] Generated Node #2: [21, 24, 44] from Operation: 44*1=44 Current State: 89:[21, 24, 44], Operations: ['44*1=44'] Exploring Operation: 21+24=45, Resulting Numbers: [44, 45] Generated Node #3: [44, 45] from Operation: 21+24=45 Current State: 89:[44, 45], Operations: ['44*1=44', '21+24=45'] Exploring Operation: 44+45=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 84, 59, 55, 3 ]
20
[ "84-59=25", "3*25=75", "75-55=20" ]
Current State: 20:[84, 59, 55, 3], Operations: [] Exploring Operation: 84-59=25, Resulting Numbers: [55, 3, 25] Generated Node #2: [55, 3, 25] from Operation: 84-59=25 Current State: 20:[55, 3, 25], Operations: ['84-59=25'] Exploring Operation: 3*25=75, Resulting Numbers: [55, 75] Generated Node #3: [55, 75] from Operation: 3*25=75 Current State: 20:[55, 75], Operations: ['84-59=25', '3*25=75'] Exploring Operation: 75-55=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 2, 66, 54, 92 ]
94
[ "2*66=132", "92-54=38", "132-38=94" ]
Current State: 94:[2, 66, 54, 92], Operations: [] Exploring Operation: 2*66=132, Resulting Numbers: [54, 92, 132] Generated Node #2: [54, 92, 132] from Operation: 2*66=132 Current State: 94:[54, 92, 132], Operations: ['2*66=132'] Exploring Operation: 92-54=38, Resulting Numbers: [132, 38] Generated Node #3: [132, 38] from Operation: 92-54=38 Current State: 94:[132, 38], Operations: ['2*66=132', '92-54=38'] Exploring Operation: 132-38=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 87, 69, 51, 66 ]
22
[ "69-66=3", "87/3=29", "51-29=22" ]
Current State: 22:[87, 69, 51, 66], Operations: [] Exploring Operation: 69-66=3, Resulting Numbers: [87, 51, 3] Generated Node #2: [87, 51, 3] from Operation: 69-66=3 Current State: 22:[87, 51, 3], Operations: ['69-66=3'] Exploring Operation: 87/3=29, Resulting Numbers: [51, 29] Generated Node #3: [51, 29] from Operation: 87/3=29 Current State: 22:[51, 29], Operations: ['69-66=3', '87/3=29'] Exploring Operation: 51-29=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 26, 72, 14, 98 ]
39
[ "72-26=46", "98/14=7", "46-7=39" ]
Current State: 39:[26, 72, 14, 98], Operations: [] Exploring Operation: 72-26=46, Resulting Numbers: [14, 98, 46] Generated Node #2: [14, 98, 46] from Operation: 72-26=46 Current State: 39:[14, 98, 46], Operations: ['72-26=46'] Exploring Operation: 98/14=7, Resulting Numbers: [46, 7] Generated Node #3: [46, 7] from Operation: 98/14=7 Current State: 39:[46, 7], Operations: ['72-26=46', '98/14=7'] Exploring Operation: 46-7=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 96, 46, 81, 48 ]
37
[ "96/48=2", "81-46=35", "2+35=37" ]
Current State: 37:[96, 46, 81, 48], Operations: [] Exploring Operation: 96/48=2, Resulting Numbers: [46, 81, 2] Generated Node #2: [46, 81, 2] from Operation: 96/48=2 Current State: 37:[46, 81, 2], Operations: ['96/48=2'] Exploring Operation: 81-46=35, Resulting Numbers: [2, 35] Generated Node #3: [2, 35] from Operation: 81-46=35 Current State: 37:[2, 35], Operations: ['96/48=2', '81-46=35'] Exploring Operation: 2+35=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 38, 30, 91, 5 ]
28
[ "38+30=68", "91+5=96", "96-68=28" ]
Current State: 28:[38, 30, 91, 5], Operations: [] Exploring Operation: 38+30=68, Resulting Numbers: [91, 5, 68] Generated Node #2: [91, 5, 68] from Operation: 38+30=68 Current State: 28:[91, 5, 68], Operations: ['38+30=68'] Exploring Operation: 91+5=96, Resulting Numbers: [68, 96] Generated Node #3: [68, 96] from Operation: 91+5=96 Current State: 28:[68, 96], Operations: ['38+30=68', '91+5=96'] Exploring Operation: 96-68=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 4, 92, 41, 2 ]
10
[ "4*41=164", "164/2=82", "92-82=10" ]
Current State: 10:[4, 92, 41, 2], Operations: [] Exploring Operation: 4*41=164, Resulting Numbers: [92, 2, 164] Generated Node #2: [92, 2, 164] from Operation: 4*41=164 Current State: 10:[92, 2, 164], Operations: ['4*41=164'] Exploring Operation: 164/2=82, Resulting Numbers: [92, 82] Generated Node #3: [92, 82] from Operation: 164/2=82 Current State: 10:[92, 82], Operations: ['4*41=164', '164/2=82'] Exploring Operation: 92-82=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 91, 7, 10, 82 ]
61
[ "91-82=9", "7*10=70", "70-9=61" ]
Current State: 61:[91, 7, 10, 82], Operations: [] Exploring Operation: 91-82=9, Resulting Numbers: [7, 10, 9] Generated Node #2: [7, 10, 9] from Operation: 91-82=9 Current State: 61:[7, 10, 9], Operations: ['91-82=9'] Exploring Operation: 7*10=70, Resulting Numbers: [9, 70] Generated Node #3: [9, 70] from Operation: 7*10=70 Current State: 61:[9, 70], Operations: ['91-82=9', '7*10=70'] Exploring Operation: 70-9=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 30, 8, 3, 2 ]
41
[ "30-8=22", "2*22=44", "44-3=41" ]
Current State: 41:[30, 8, 3, 2], Operations: [] Exploring Operation: 30-8=22, Resulting Numbers: [3, 2, 22] Generated Node #2: [3, 2, 22] from Operation: 30-8=22 Current State: 41:[3, 2, 22], Operations: ['30-8=22'] Exploring Operation: 2*22=44, Resulting Numbers: [3, 44] Generated Node #3: [3, 44] from Operation: 2*22=44 Current State: 41:[3, 44], Operations: ['30-8=22', '2*22=44'] Exploring Operation: 44-3=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 10, 31, 42, 50 ]
48
[ "31-10=21", "42/21=2", "50-2=48" ]
Current State: 48:[10, 31, 42, 50], Operations: [] Exploring Operation: 31-10=21, Resulting Numbers: [42, 50, 21] Generated Node #2: [42, 50, 21] from Operation: 31-10=21 Current State: 48:[42, 50, 21], Operations: ['31-10=21'] Exploring Operation: 42/21=2, Resulting Numbers: [50, 2] Generated Node #3: [50, 2] from Operation: 42/21=2 Current State: 48:[50, 2], Operations: ['31-10=21', '42/21=2'] Exploring Operation: 50-2=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 84, 38, 99, 35 ]
45
[ "99-84=15", "38-35=3", "15*3=45" ]
Current State: 45:[84, 38, 99, 35], Operations: [] Exploring Operation: 99-84=15, Resulting Numbers: [38, 35, 15] Generated Node #2: [38, 35, 15] from Operation: 99-84=15 Current State: 45:[38, 35, 15], Operations: ['99-84=15'] Exploring Operation: 38-35=3, Resulting Numbers: [15, 3] Generated Node #3: [15, 3] from Operation: 38-35=3 Current State: 45:[15, 3], Operations: ['99-84=15', '38-35=3'] Exploring Operation: 15*3=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 24, 14, 3, 2 ]
68
[ "24+3=27", "2*27=54", "14+54=68" ]
Current State: 68:[24, 14, 3, 2], Operations: [] Exploring Operation: 24+3=27, Resulting Numbers: [14, 2, 27] Generated Node #2: [14, 2, 27] from Operation: 24+3=27 Current State: 68:[14, 2, 27], Operations: ['24+3=27'] Exploring Operation: 2*27=54, Resulting Numbers: [14, 54] Generated Node #3: [14, 54] from Operation: 2*27=54 Current State: 68:[14, 54], Operations: ['24+3=27', '2*27=54'] Exploring Operation: 14+54=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 20, 76, 8, 29 ]
55
[ "20*8=160", "76+29=105", "160-105=55" ]
Current State: 55:[20, 76, 8, 29], Operations: [] Exploring Operation: 20*8=160, Resulting Numbers: [76, 29, 160] Generated Node #2: [76, 29, 160] from Operation: 20*8=160 Current State: 55:[76, 29, 160], Operations: ['20*8=160'] Exploring Operation: 76+29=105, Resulting Numbers: [160, 105] Generated Node #3: [160, 105] from Operation: 76+29=105 Current State: 55:[160, 105], Operations: ['20*8=160', '76+29=105'] Exploring Operation: 160-105=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 75, 5, 75, 56 ]
51
[ "75+5=80", "75+56=131", "131-80=51" ]
Current State: 51:[75, 5, 75, 56], Operations: [] Exploring Operation: 75+5=80, Resulting Numbers: [56, 80] Generated Node #2: [56, 80] from Operation: 75+5=80 Current State: 51:[56, 80], Operations: ['75+5=80'] Exploring Operation: 75+56=131, Resulting Numbers: [80, 131] Generated Node #3: [80, 131] from Operation: 75+56=131 Current State: 51:[80, 131], Operations: ['75+5=80', '75+56=131'] Exploring Operation: 131-80=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 20, 11, 80, 7 ]
39
[ "80/20=4", "7*4=28", "11+28=39" ]
Current State: 39:[20, 11, 80, 7], Operations: [] Exploring Operation: 80/20=4, Resulting Numbers: [11, 7, 4] Generated Node #2: [11, 7, 4] from Operation: 80/20=4 Current State: 39:[11, 7, 4], Operations: ['80/20=4'] Exploring Operation: 7*4=28, Resulting Numbers: [11, 28] Generated Node #3: [11, 28] from Operation: 7*4=28 Current State: 39:[11, 28], Operations: ['80/20=4', '7*4=28'] Exploring Operation: 11+28=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 99, 33, 2, 18 ]
82
[ "99-33=66", "18-2=16", "66+16=82" ]
Current State: 82:[99, 33, 2, 18], Operations: [] Exploring Operation: 99-33=66, Resulting Numbers: [2, 18, 66] Generated Node #2: [2, 18, 66] from Operation: 99-33=66 Current State: 82:[2, 18, 66], Operations: ['99-33=66'] Exploring Operation: 18-2=16, Resulting Numbers: [66, 16] Generated Node #3: [66, 16] from Operation: 18-2=16 Current State: 82:[66, 16], Operations: ['99-33=66', '18-2=16'] Exploring Operation: 66+16=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 59, 33, 31, 84 ]
39
[ "59+33=92", "84-31=53", "92-53=39" ]
Current State: 39:[59, 33, 31, 84], Operations: [] Exploring Operation: 59+33=92, Resulting Numbers: [31, 84, 92] Generated Node #2: [31, 84, 92] from Operation: 59+33=92 Current State: 39:[31, 84, 92], Operations: ['59+33=92'] Exploring Operation: 84-31=53, Resulting Numbers: [92, 53] Generated Node #3: [92, 53] from Operation: 84-31=53 Current State: 39:[92, 53], Operations: ['59+33=92', '84-31=53'] Exploring Operation: 92-53=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 48, 18, 56, 44 ]
70
[ "48-18=30", "56+44=100", "100-30=70" ]
Current State: 70:[48, 18, 56, 44], Operations: [] Exploring Operation: 48-18=30, Resulting Numbers: [56, 44, 30] Generated Node #2: [56, 44, 30] from Operation: 48-18=30 Current State: 70:[56, 44, 30], Operations: ['48-18=30'] Exploring Operation: 56+44=100, Resulting Numbers: [30, 100] Generated Node #3: [30, 100] from Operation: 56+44=100 Current State: 70:[30, 100], Operations: ['48-18=30', '56+44=100'] Exploring Operation: 100-30=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 29, 24, 31, 75 ]
87
[ "31-29=2", "24/2=12", "75+12=87" ]
Current State: 87:[29, 24, 31, 75], Operations: [] Exploring Operation: 31-29=2, Resulting Numbers: [24, 75, 2] Generated Node #2: [24, 75, 2] from Operation: 31-29=2 Current State: 87:[24, 75, 2], Operations: ['31-29=2'] Exploring Operation: 24/2=12, Resulting Numbers: [75, 12] Generated Node #3: [75, 12] from Operation: 24/2=12 Current State: 87:[75, 12], Operations: ['31-29=2', '24/2=12'] Exploring Operation: 75+12=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 26, 4, 81, 48 ]
28
[ "81-26=55", "55-48=7", "4*7=28" ]
Current State: 28:[26, 4, 81, 48], Operations: [] Exploring Operation: 81-26=55, Resulting Numbers: [4, 48, 55] Generated Node #2: [4, 48, 55] from Operation: 81-26=55 Current State: 28:[4, 48, 55], Operations: ['81-26=55'] Exploring Operation: 55-48=7, Resulting Numbers: [4, 7] Generated Node #3: [4, 7] from Operation: 55-48=7 Current State: 28:[4, 7], Operations: ['81-26=55', '55-48=7'] Exploring Operation: 4*7=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 9, 64, 26, 18 ]
88
[ "18/9=2", "64+26=90", "90-2=88" ]
Current State: 88:[9, 64, 26, 18], Operations: [] Exploring Operation: 18/9=2, Resulting Numbers: [64, 26, 2] Generated Node #2: [64, 26, 2] from Operation: 18/9=2 Current State: 88:[64, 26, 2], Operations: ['18/9=2'] Exploring Operation: 64+26=90, Resulting Numbers: [2, 90] Generated Node #3: [2, 90] from Operation: 64+26=90 Current State: 88:[2, 90], Operations: ['18/9=2', '64+26=90'] Exploring Operation: 90-2=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 82, 16, 3, 67 ]
71
[ "67-16=51", "3*51=153", "153-82=71" ]
Current State: 71:[82, 16, 3, 67], Operations: [] Exploring Operation: 67-16=51, Resulting Numbers: [82, 3, 51] Generated Node #2: [82, 3, 51] from Operation: 67-16=51 Current State: 71:[82, 3, 51], Operations: ['67-16=51'] Exploring Operation: 3*51=153, Resulting Numbers: [82, 153] Generated Node #3: [82, 153] from Operation: 3*51=153 Current State: 71:[82, 153], Operations: ['67-16=51', '3*51=153'] Exploring Operation: 153-82=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 32, 37, 2, 37 ]
69
[ "37-32=5", "2*37=74", "74-5=69" ]
Current State: 69:[32, 37, 2, 37], Operations: [] Exploring Operation: 37-32=5, Resulting Numbers: [2, 5] Generated Node #2: [2, 5] from Operation: 37-32=5 Current State: 69:[2, 5], Operations: ['37-32=5'] Exploring Operation: 2*37=74, Resulting Numbers: [5, 74] Generated Node #3: [5, 74] from Operation: 2*37=74 Current State: 69:[5, 74], Operations: ['37-32=5', '2*37=74'] Exploring Operation: 74-5=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 23, 18, 64, 14 ]
12
[ "64-18=46", "46/23=2", "14-2=12" ]
Current State: 12:[23, 18, 64, 14], Operations: [] Exploring Operation: 64-18=46, Resulting Numbers: [23, 14, 46] Generated Node #2: [23, 14, 46] from Operation: 64-18=46 Current State: 12:[23, 14, 46], Operations: ['64-18=46'] Exploring Operation: 46/23=2, Resulting Numbers: [14, 2] Generated Node #3: [14, 2] from Operation: 46/23=2 Current State: 12:[14, 2], Operations: ['64-18=46', '46/23=2'] Exploring Operation: 14-2=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 42, 56, 24, 14 ]
18
[ "56*24=1344", "1344/42=32", "32-14=18" ]
Current State: 18:[42, 56, 24, 14], Operations: [] Exploring Operation: 56*24=1344, Resulting Numbers: [42, 14, 1344] Generated Node #2: [42, 14, 1344] from Operation: 56*24=1344 Current State: 18:[42, 14, 1344], Operations: ['56*24=1344'] Exploring Operation: 1344/42=32, Resulting Numbers: [14, 32] Generated Node #3: [14, 32] from Operation: 1344/42=32 Current State: 18:[14, 32], Operations: ['56*24=1344', '1344/42=32'] Exploring Operation: 32-14=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4