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
[ 36, 51, 80, 5 ]
60
[ "51-36=15", "80-5=75", "75-15=60" ]
Current State: 60:[36, 51, 80, 5], Operations: [] Exploring Operation: 51-36=15, Resulting Numbers: [80, 5, 15] Generated Node #2: [80, 5, 15] from Operation: 51-36=15 Current State: 60:[80, 5, 15], Operations: ['51-36=15'] Exploring Operation: 80-5=75, Resulting Numbers: [15, 75] Generated Node #3: [15, 75] from Operation: 80-5=75 Current State: 60:[15, 75], Operations: ['51-36=15', '80-5=75'] Exploring Operation: 75-15=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 31, 35, 20, 37 ]
68
[ "35-31=4", "37-20=17", "4*17=68" ]
Current State: 68:[31, 35, 20, 37], Operations: [] Exploring Operation: 35-31=4, Resulting Numbers: [20, 37, 4] Generated Node #2: [20, 37, 4] from Operation: 35-31=4 Current State: 68:[20, 37, 4], Operations: ['35-31=4'] Exploring Operation: 37-20=17, Resulting Numbers: [4, 17] Generated Node #3: [4, 17] from Operation: 37-20=17 Current State: 68:[4, 17], Operations: ['35-31=4', '37-20=17'] Exploring Operation: 4*17=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 11, 79, 76, 6 ]
15
[ "11-6=5", "79-76=3", "5*3=15" ]
Current State: 15:[11, 79, 76, 6], Operations: [] Exploring Operation: 11-6=5, Resulting Numbers: [79, 76, 5] Generated Node #2: [79, 76, 5] from Operation: 11-6=5 Current State: 15:[79, 76, 5], Operations: ['11-6=5'] Exploring Operation: 79-76=3, Resulting Numbers: [5, 3] Generated Node #3: [5, 3] from Operation: 79-76=3 Current State: 15:[5, 3], Operations: ['11-6=5', '79-76=3'] Exploring Operation: 5*3=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 4, 22, 5, 10 ]
38
[ "4*22=88", "5*10=50", "88-50=38" ]
Current State: 38:[4, 22, 5, 10], Operations: [] Exploring Operation: 4*22=88, Resulting Numbers: [5, 10, 88] Generated Node #2: [5, 10, 88] from Operation: 4*22=88 Current State: 38:[5, 10, 88], Operations: ['4*22=88'] Exploring Operation: 5*10=50, Resulting Numbers: [88, 50] Generated Node #3: [88, 50] from Operation: 5*10=50 Current State: 38:[88, 50], Operations: ['4*22=88', '5*10=50'] Exploring Operation: 88-50=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 66, 11, 17, 50 ]
27
[ "66/11=6", "50-17=33", "33-6=27" ]
Current State: 27:[66, 11, 17, 50], Operations: [] Exploring Operation: 66/11=6, Resulting Numbers: [17, 50, 6] Generated Node #2: [17, 50, 6] from Operation: 66/11=6 Current State: 27:[17, 50, 6], Operations: ['66/11=6'] Exploring Operation: 50-17=33, Resulting Numbers: [6, 33] Generated Node #3: [6, 33] from Operation: 50-17=33 Current State: 27:[6, 33], Operations: ['66/11=6', '50-17=33'] Exploring Operation: 33-6=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 90, 30, 22, 23 ]
64
[ "30-23=7", "22*7=154", "154-90=64" ]
Current State: 64:[90, 30, 22, 23], Operations: [] Exploring Operation: 30-23=7, Resulting Numbers: [90, 22, 7] Generated Node #2: [90, 22, 7] from Operation: 30-23=7 Current State: 64:[90, 22, 7], Operations: ['30-23=7'] Exploring Operation: 22*7=154, Resulting Numbers: [90, 154] Generated Node #3: [90, 154] from Operation: 22*7=154 Current State: 64:[90, 154], Operations: ['30-23=7', '22*7=154'] Exploring Operation: 154-90=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 6, 48, 35, 43 ]
13
[ "48-43=5", "35/5=7", "6+7=13" ]
Current State: 13:[6, 48, 35, 43], Operations: [] Exploring Operation: 48-43=5, Resulting Numbers: [6, 35, 5] Generated Node #2: [6, 35, 5] from Operation: 48-43=5 Current State: 13:[6, 35, 5], Operations: ['48-43=5'] Exploring Operation: 35/5=7, Resulting Numbers: [6, 7] Generated Node #3: [6, 7] from Operation: 35/5=7 Current State: 13:[6, 7], Operations: ['48-43=5', '35/5=7'] Exploring Operation: 6+7=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 38, 36, 79, 42 ]
74
[ "38-36=2", "79-42=37", "2*37=74" ]
Current State: 74:[38, 36, 79, 42], Operations: [] Exploring Operation: 38-36=2, Resulting Numbers: [79, 42, 2] Generated Node #2: [79, 42, 2] from Operation: 38-36=2 Current State: 74:[79, 42, 2], Operations: ['38-36=2'] Exploring Operation: 79-42=37, Resulting Numbers: [2, 37] Generated Node #3: [2, 37] from Operation: 79-42=37 Current State: 74:[2, 37], Operations: ['38-36=2', '79-42=37'] Exploring Operation: 2*37=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 69, 63, 91, 98 ]
13
[ "69-63=6", "98-91=7", "6+7=13" ]
Current State: 13:[69, 63, 91, 98], Operations: [] Exploring Operation: 69-63=6, Resulting Numbers: [91, 98, 6] Generated Node #2: [91, 98, 6] from Operation: 69-63=6 Current State: 13:[91, 98, 6], Operations: ['69-63=6'] Exploring Operation: 98-91=7, Resulting Numbers: [6, 7] Generated Node #3: [6, 7] from Operation: 98-91=7 Current State: 13:[6, 7], Operations: ['69-63=6', '98-91=7'] Exploring Operation: 6+7=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 67, 2, 59, 50 ]
88
[ "67+59=126", "50+126=176", "176/2=88" ]
Current State: 88:[67, 2, 59, 50], Operations: [] Exploring Operation: 67+59=126, Resulting Numbers: [2, 50, 126] Generated Node #2: [2, 50, 126] from Operation: 67+59=126 Current State: 88:[2, 50, 126], Operations: ['67+59=126'] Exploring Operation: 50+126=176, Resulting Numbers: [2, 176] Generated Node #3: [2, 176] from Operation: 50+126=176 Current State: 88:[2, 176], Operations: ['67+59=126', '50+126=176'] Exploring Operation: 176/2=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 98, 7, 10, 39 ]
62
[ "98-7=91", "39-10=29", "91-29=62" ]
Current State: 62:[98, 7, 10, 39], Operations: [] Exploring Operation: 98-7=91, Resulting Numbers: [10, 39, 91] Generated Node #2: [10, 39, 91] from Operation: 98-7=91 Current State: 62:[10, 39, 91], Operations: ['98-7=91'] Exploring Operation: 39-10=29, Resulting Numbers: [91, 29] Generated Node #3: [91, 29] from Operation: 39-10=29 Current State: 62:[91, 29], Operations: ['98-7=91', '39-10=29'] Exploring Operation: 91-29=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 47, 3, 50, 81 ]
10
[ "47*3=141", "50+81=131", "141-131=10" ]
Current State: 10:[47, 3, 50, 81], Operations: [] Exploring Operation: 47*3=141, Resulting Numbers: [50, 81, 141] Generated Node #2: [50, 81, 141] from Operation: 47*3=141 Current State: 10:[50, 81, 141], Operations: ['47*3=141'] Exploring Operation: 50+81=131, Resulting Numbers: [141, 131] Generated Node #3: [141, 131] from Operation: 50+81=131 Current State: 10:[141, 131], Operations: ['47*3=141', '50+81=131'] Exploring Operation: 141-131=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 7, 27, 61, 56 ]
62
[ "61-56=5", "7*5=35", "27+35=62" ]
Current State: 62:[7, 27, 61, 56], Operations: [] Exploring Operation: 61-56=5, Resulting Numbers: [7, 27, 5] Generated Node #2: [7, 27, 5] from Operation: 61-56=5 Current State: 62:[7, 27, 5], Operations: ['61-56=5'] Exploring Operation: 7*5=35, Resulting Numbers: [27, 35] Generated Node #3: [27, 35] from Operation: 7*5=35 Current State: 62:[27, 35], Operations: ['61-56=5', '7*5=35'] Exploring Operation: 27+35=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 72, 8, 81, 15 ]
57
[ "72/8=9", "81-15=66", "66-9=57" ]
Current State: 57:[72, 8, 81, 15], Operations: [] Exploring Operation: 72/8=9, Resulting Numbers: [81, 15, 9] Generated Node #2: [81, 15, 9] from Operation: 72/8=9 Current State: 57:[81, 15, 9], Operations: ['72/8=9'] Exploring Operation: 81-15=66, Resulting Numbers: [9, 66] Generated Node #3: [9, 66] from Operation: 81-15=66 Current State: 57:[9, 66], Operations: ['72/8=9', '81-15=66'] Exploring Operation: 66-9=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 8, 18, 88, 10 ]
97
[ "10-8=2", "18/2=9", "88+9=97" ]
Current State: 97:[8, 18, 88, 10], Operations: [] Exploring Operation: 10-8=2, Resulting Numbers: [18, 88, 2] Generated Node #2: [18, 88, 2] from Operation: 10-8=2 Current State: 97:[18, 88, 2], Operations: ['10-8=2'] Exploring Operation: 18/2=9, Resulting Numbers: [88, 9] Generated Node #3: [88, 9] from Operation: 18/2=9 Current State: 97:[88, 9], Operations: ['10-8=2', '18/2=9'] Exploring Operation: 88+9=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 64, 2, 20, 34 ]
48
[ "64-2=62", "34-20=14", "62-14=48" ]
Current State: 48:[64, 2, 20, 34], Operations: [] Exploring Operation: 64-2=62, Resulting Numbers: [20, 34, 62] Generated Node #2: [20, 34, 62] from Operation: 64-2=62 Current State: 48:[20, 34, 62], Operations: ['64-2=62'] Exploring Operation: 34-20=14, Resulting Numbers: [62, 14] Generated Node #3: [62, 14] from Operation: 34-20=14 Current State: 48:[62, 14], Operations: ['64-2=62', '34-20=14'] Exploring Operation: 62-14=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 8, 33, 77, 19 ]
88
[ "33*19=627", "77+627=704", "704/8=88" ]
Current State: 88:[8, 33, 77, 19], Operations: [] Exploring Operation: 33*19=627, Resulting Numbers: [8, 77, 627] Generated Node #2: [8, 77, 627] from Operation: 33*19=627 Current State: 88:[8, 77, 627], Operations: ['33*19=627'] Exploring Operation: 77+627=704, Resulting Numbers: [8, 704] Generated Node #3: [8, 704] from Operation: 77+627=704 Current State: 88:[8, 704], Operations: ['33*19=627', '77+627=704'] Exploring Operation: 704/8=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 95, 6, 90, 5 ]
43
[ "95+90=185", "185/5=37", "6+37=43" ]
Current State: 43:[95, 6, 90, 5], Operations: [] Exploring Operation: 95+90=185, Resulting Numbers: [6, 5, 185] Generated Node #2: [6, 5, 185] from Operation: 95+90=185 Current State: 43:[6, 5, 185], Operations: ['95+90=185'] Exploring Operation: 185/5=37, Resulting Numbers: [6, 37] Generated Node #3: [6, 37] from Operation: 185/5=37 Current State: 43:[6, 37], Operations: ['95+90=185', '185/5=37'] Exploring Operation: 6+37=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 46, 98, 20, 2 ]
13
[ "98+20=118", "118/2=59", "59-46=13" ]
Current State: 13:[46, 98, 20, 2], Operations: [] Exploring Operation: 98+20=118, Resulting Numbers: [46, 2, 118] Generated Node #2: [46, 2, 118] from Operation: 98+20=118 Current State: 13:[46, 2, 118], Operations: ['98+20=118'] Exploring Operation: 118/2=59, Resulting Numbers: [46, 59] Generated Node #3: [46, 59] from Operation: 118/2=59 Current State: 13:[46, 59], Operations: ['98+20=118', '118/2=59'] Exploring Operation: 59-46=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 41, 35, 40, 28 ]
65
[ "41-28=13", "40-35=5", "13*5=65" ]
Current State: 65:[41, 35, 40, 28], Operations: [] Exploring Operation: 41-28=13, Resulting Numbers: [35, 40, 13] Generated Node #2: [35, 40, 13] from Operation: 41-28=13 Current State: 65:[35, 40, 13], Operations: ['41-28=13'] Exploring Operation: 40-35=5, Resulting Numbers: [13, 5] Generated Node #3: [13, 5] from Operation: 40-35=5 Current State: 65:[13, 5], Operations: ['41-28=13', '40-35=5'] Exploring Operation: 13*5=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 28, 29, 24, 91 ]
30
[ "28-24=4", "29+91=120", "120/4=30" ]
Current State: 30:[28, 29, 24, 91], Operations: [] Exploring Operation: 28-24=4, Resulting Numbers: [29, 91, 4] Generated Node #2: [29, 91, 4] from Operation: 28-24=4 Current State: 30:[29, 91, 4], Operations: ['28-24=4'] Exploring Operation: 29+91=120, Resulting Numbers: [4, 120] Generated Node #3: [4, 120] from Operation: 29+91=120 Current State: 30:[4, 120], Operations: ['28-24=4', '29+91=120'] Exploring Operation: 120/4=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 9, 6, 83, 75 ]
78
[ "9+6=15", "75/15=5", "83-5=78" ]
Current State: 78:[9, 6, 83, 75], Operations: [] Exploring Operation: 9+6=15, Resulting Numbers: [83, 75, 15] Generated Node #2: [83, 75, 15] from Operation: 9+6=15 Current State: 78:[83, 75, 15], Operations: ['9+6=15'] Exploring Operation: 75/15=5, Resulting Numbers: [83, 5] Generated Node #3: [83, 5] from Operation: 75/15=5 Current State: 78:[83, 5], Operations: ['9+6=15', '75/15=5'] Exploring Operation: 83-5=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 4, 17, 46, 14 ]
47
[ "17-4=13", "46+14=60", "60-13=47" ]
Current State: 47:[4, 17, 46, 14], Operations: [] Exploring Operation: 17-4=13, Resulting Numbers: [46, 14, 13] Generated Node #2: [46, 14, 13] from Operation: 17-4=13 Current State: 47:[46, 14, 13], Operations: ['17-4=13'] Exploring Operation: 46+14=60, Resulting Numbers: [13, 60] Generated Node #3: [13, 60] from Operation: 46+14=60 Current State: 47:[13, 60], Operations: ['17-4=13', '46+14=60'] Exploring Operation: 60-13=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 76, 92, 6, 64 ]
98
[ "76+92=168", "6+64=70", "168-70=98" ]
Current State: 98:[76, 92, 6, 64], Operations: [] Exploring Operation: 76+92=168, Resulting Numbers: [6, 64, 168] Generated Node #2: [6, 64, 168] from Operation: 76+92=168 Current State: 98:[6, 64, 168], Operations: ['76+92=168'] Exploring Operation: 6+64=70, Resulting Numbers: [168, 70] Generated Node #3: [168, 70] from Operation: 6+64=70 Current State: 98:[168, 70], Operations: ['76+92=168', '6+64=70'] Exploring Operation: 168-70=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 32, 28, 62, 41 ]
17
[ "32-28=4", "62-41=21", "21-4=17" ]
Current State: 17:[32, 28, 62, 41], Operations: [] Exploring Operation: 32-28=4, Resulting Numbers: [62, 41, 4] Generated Node #2: [62, 41, 4] from Operation: 32-28=4 Current State: 17:[62, 41, 4], Operations: ['32-28=4'] Exploring Operation: 62-41=21, Resulting Numbers: [4, 21] Generated Node #3: [4, 21] from Operation: 62-41=21 Current State: 17:[4, 21], Operations: ['32-28=4', '62-41=21'] Exploring Operation: 21-4=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 41, 56, 71, 5 ]
44
[ "71-56=15", "15/5=3", "41+3=44" ]
Current State: 44:[41, 56, 71, 5], Operations: [] Exploring Operation: 71-56=15, Resulting Numbers: [41, 5, 15] Generated Node #2: [41, 5, 15] from Operation: 71-56=15 Current State: 44:[41, 5, 15], Operations: ['71-56=15'] Exploring Operation: 15/5=3, Resulting Numbers: [41, 3] Generated Node #3: [41, 3] from Operation: 15/5=3 Current State: 44:[41, 3], Operations: ['71-56=15', '15/5=3'] Exploring Operation: 41+3=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 97, 61, 25, 89 ]
44
[ "97+61=158", "25+89=114", "158-114=44" ]
Current State: 44:[97, 61, 25, 89], Operations: [] Exploring Operation: 97+61=158, Resulting Numbers: [25, 89, 158] Generated Node #2: [25, 89, 158] from Operation: 97+61=158 Current State: 44:[25, 89, 158], Operations: ['97+61=158'] Exploring Operation: 25+89=114, Resulting Numbers: [158, 114] Generated Node #3: [158, 114] from Operation: 25+89=114 Current State: 44:[158, 114], Operations: ['97+61=158', '25+89=114'] Exploring Operation: 158-114=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 23, 82, 24, 4 ]
34
[ "23*4=92", "82-24=58", "92-58=34" ]
Current State: 34:[23, 82, 24, 4], Operations: [] Exploring Operation: 23*4=92, Resulting Numbers: [82, 24, 92] Generated Node #2: [82, 24, 92] from Operation: 23*4=92 Current State: 34:[82, 24, 92], Operations: ['23*4=92'] Exploring Operation: 82-24=58, Resulting Numbers: [92, 58] Generated Node #3: [92, 58] from Operation: 82-24=58 Current State: 34:[92, 58], Operations: ['23*4=92', '82-24=58'] Exploring Operation: 92-58=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 37, 51, 63, 51 ]
25
[ "63-37=26", "51/51=1", "26-1=25" ]
Current State: 25:[37, 51, 63, 51], Operations: [] Exploring Operation: 63-37=26, Resulting Numbers: [51, 51, 26] Generated Node #2: [51, 51, 26] from Operation: 63-37=26 Current State: 25:[51, 51, 26], Operations: ['63-37=26'] Exploring Operation: 51/51=1, Resulting Numbers: [26, 1] Generated Node #3: [26, 1] from Operation: 51/51=1 Current State: 25:[26, 1], Operations: ['63-37=26', '51/51=1'] Exploring Operation: 26-1=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 34, 36, 18, 6 ]
62
[ "34*36=1224", "1224/18=68", "68-6=62" ]
Current State: 62:[34, 36, 18, 6], Operations: [] Exploring Operation: 34*36=1224, Resulting Numbers: [18, 6, 1224] Generated Node #2: [18, 6, 1224] from Operation: 34*36=1224 Current State: 62:[18, 6, 1224], Operations: ['34*36=1224'] Exploring Operation: 1224/18=68, Resulting Numbers: [6, 68] Generated Node #3: [6, 68] from Operation: 1224/18=68 Current State: 62:[6, 68], Operations: ['34*36=1224', '1224/18=68'] Exploring Operation: 68-6=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 50, 24, 13, 20 ]
41
[ "50+24=74", "13+20=33", "74-33=41" ]
Current State: 41:[50, 24, 13, 20], Operations: [] Exploring Operation: 50+24=74, Resulting Numbers: [13, 20, 74] Generated Node #2: [13, 20, 74] from Operation: 50+24=74 Current State: 41:[13, 20, 74], Operations: ['50+24=74'] Exploring Operation: 13+20=33, Resulting Numbers: [74, 33] Generated Node #3: [74, 33] from Operation: 13+20=33 Current State: 41:[74, 33], Operations: ['50+24=74', '13+20=33'] Exploring Operation: 74-33=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 33, 6, 11, 48 ]
36
[ "33+11=44", "48/6=8", "44-8=36" ]
Current State: 36:[33, 6, 11, 48], Operations: [] Exploring Operation: 33+11=44, Resulting Numbers: [6, 48, 44] Generated Node #2: [6, 48, 44] from Operation: 33+11=44 Current State: 36:[6, 48, 44], Operations: ['33+11=44'] Exploring Operation: 48/6=8, Resulting Numbers: [44, 8] Generated Node #3: [44, 8] from Operation: 48/6=8 Current State: 36:[44, 8], Operations: ['33+11=44', '48/6=8'] Exploring Operation: 44-8=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 17, 37, 12, 71 ]
26
[ "37+71=108", "108/12=9", "17+9=26" ]
Current State: 26:[17, 37, 12, 71], Operations: [] Exploring Operation: 37+71=108, Resulting Numbers: [17, 12, 108] Generated Node #2: [17, 12, 108] from Operation: 37+71=108 Current State: 26:[17, 12, 108], Operations: ['37+71=108'] Exploring Operation: 108/12=9, Resulting Numbers: [17, 9] Generated Node #3: [17, 9] from Operation: 108/12=9 Current State: 26:[17, 9], Operations: ['37+71=108', '108/12=9'] Exploring Operation: 17+9=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 41, 38, 1, 3 ]
86
[ "41*3=123", "38-1=37", "123-37=86" ]
Current State: 86:[41, 38, 1, 3], Operations: [] Exploring Operation: 41*3=123, Resulting Numbers: [38, 1, 123] Generated Node #2: [38, 1, 123] from Operation: 41*3=123 Current State: 86:[38, 1, 123], Operations: ['41*3=123'] Exploring Operation: 38-1=37, Resulting Numbers: [123, 37] Generated Node #3: [123, 37] from Operation: 38-1=37 Current State: 86:[123, 37], Operations: ['41*3=123', '38-1=37'] Exploring Operation: 123-37=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 44, 12, 67, 2 ]
58
[ "67-44=23", "2*23=46", "12+46=58" ]
Current State: 58:[44, 12, 67, 2], Operations: [] Exploring Operation: 67-44=23, Resulting Numbers: [12, 2, 23] Generated Node #2: [12, 2, 23] from Operation: 67-44=23 Current State: 58:[12, 2, 23], Operations: ['67-44=23'] Exploring Operation: 2*23=46, Resulting Numbers: [12, 46] Generated Node #3: [12, 46] from Operation: 2*23=46 Current State: 58:[12, 46], Operations: ['67-44=23', '2*23=46'] Exploring Operation: 12+46=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 10, 87, 18, 66 ]
27
[ "10*18=180", "87+66=153", "180-153=27" ]
Current State: 27:[10, 87, 18, 66], Operations: [] Exploring Operation: 10*18=180, Resulting Numbers: [87, 66, 180] Generated Node #2: [87, 66, 180] from Operation: 10*18=180 Current State: 27:[87, 66, 180], Operations: ['10*18=180'] Exploring Operation: 87+66=153, Resulting Numbers: [180, 153] Generated Node #3: [180, 153] from Operation: 87+66=153 Current State: 27:[180, 153], Operations: ['10*18=180', '87+66=153'] Exploring Operation: 180-153=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 89, 71, 57, 48 ]
27
[ "89-71=18", "57-48=9", "18+9=27" ]
Current State: 27:[89, 71, 57, 48], Operations: [] Exploring Operation: 89-71=18, Resulting Numbers: [57, 48, 18] Generated Node #2: [57, 48, 18] from Operation: 89-71=18 Current State: 27:[57, 48, 18], Operations: ['89-71=18'] Exploring Operation: 57-48=9, Resulting Numbers: [18, 9] Generated Node #3: [18, 9] from Operation: 57-48=9 Current State: 27:[18, 9], Operations: ['89-71=18', '57-48=9'] Exploring Operation: 18+9=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 10, 66, 66, 44 ]
98
[ "10+66=76", "66-44=22", "76+22=98" ]
Current State: 98:[10, 66, 66, 44], Operations: [] Exploring Operation: 10+66=76, Resulting Numbers: [44, 76] Generated Node #2: [44, 76] from Operation: 10+66=76 Current State: 98:[44, 76], Operations: ['10+66=76'] Exploring Operation: 66-44=22, Resulting Numbers: [76, 22] Generated Node #3: [76, 22] from Operation: 66-44=22 Current State: 98:[76, 22], Operations: ['10+66=76', '66-44=22'] Exploring Operation: 76+22=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 11, 11, 7, 54 ]
46
[ "11/11=1", "54-7=47", "47-1=46" ]
Current State: 46:[11, 11, 7, 54], Operations: [] Exploring Operation: 11/11=1, Resulting Numbers: [7, 54, 1] Generated Node #2: [7, 54, 1] from Operation: 11/11=1 Current State: 46:[7, 54, 1], Operations: ['11/11=1'] Exploring Operation: 54-7=47, Resulting Numbers: [1, 47] Generated Node #3: [1, 47] from Operation: 54-7=47 Current State: 46:[1, 47], Operations: ['11/11=1', '54-7=47'] Exploring Operation: 47-1=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 20, 39, 23, 1 ]
78
[ "23-20=3", "3-1=2", "39*2=78" ]
Current State: 78:[20, 39, 23, 1], Operations: [] Exploring Operation: 23-20=3, Resulting Numbers: [39, 1, 3] Generated Node #2: [39, 1, 3] from Operation: 23-20=3 Current State: 78:[39, 1, 3], Operations: ['23-20=3'] Exploring Operation: 3-1=2, Resulting Numbers: [39, 2] Generated Node #3: [39, 2] from Operation: 3-1=2 Current State: 78:[39, 2], Operations: ['23-20=3', '3-1=2'] Exploring Operation: 39*2=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 36, 95, 1, 38 ]
14
[ "36-1=35", "38*35=1330", "1330/95=14" ]
Current State: 14:[36, 95, 1, 38], Operations: [] Exploring Operation: 36-1=35, Resulting Numbers: [95, 38, 35] Generated Node #2: [95, 38, 35] from Operation: 36-1=35 Current State: 14:[95, 38, 35], Operations: ['36-1=35'] Exploring Operation: 38*35=1330, Resulting Numbers: [95, 1330] Generated Node #3: [95, 1330] from Operation: 38*35=1330 Current State: 14:[95, 1330], Operations: ['36-1=35', '38*35=1330'] Exploring Operation: 1330/95=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 15, 5, 72, 55 ]
31
[ "15/5=3", "72/3=24", "55-24=31" ]
Current State: 31:[15, 5, 72, 55], Operations: [] Exploring Operation: 15/5=3, Resulting Numbers: [72, 55, 3] Generated Node #2: [72, 55, 3] from Operation: 15/5=3 Current State: 31:[72, 55, 3], Operations: ['15/5=3'] Exploring Operation: 72/3=24, Resulting Numbers: [55, 24] Generated Node #3: [55, 24] from Operation: 72/3=24 Current State: 31:[55, 24], Operations: ['15/5=3', '72/3=24'] Exploring Operation: 55-24=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 61, 42, 47, 45 ]
52
[ "47-42=5", "45/5=9", "61-9=52" ]
Current State: 52:[61, 42, 47, 45], Operations: [] Exploring Operation: 47-42=5, Resulting Numbers: [61, 45, 5] Generated Node #2: [61, 45, 5] from Operation: 47-42=5 Current State: 52:[61, 45, 5], Operations: ['47-42=5'] Exploring Operation: 45/5=9, Resulting Numbers: [61, 9] Generated Node #3: [61, 9] from Operation: 45/5=9 Current State: 52:[61, 9], Operations: ['47-42=5', '45/5=9'] Exploring Operation: 61-9=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 2, 43, 40, 16 ]
17
[ "43-2=41", "40-16=24", "41-24=17" ]
Current State: 17:[2, 43, 40, 16], Operations: [] Exploring Operation: 43-2=41, Resulting Numbers: [40, 16, 41] Generated Node #2: [40, 16, 41] from Operation: 43-2=41 Current State: 17:[40, 16, 41], Operations: ['43-2=41'] Exploring Operation: 40-16=24, Resulting Numbers: [41, 24] Generated Node #3: [41, 24] from Operation: 40-16=24 Current State: 17:[41, 24], Operations: ['43-2=41', '40-16=24'] Exploring Operation: 41-24=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 85, 24, 82, 37 ]
45
[ "85-82=3", "24/3=8", "37+8=45" ]
Current State: 45:[85, 24, 82, 37], Operations: [] Exploring Operation: 85-82=3, Resulting Numbers: [24, 37, 3] Generated Node #2: [24, 37, 3] from Operation: 85-82=3 Current State: 45:[24, 37, 3], Operations: ['85-82=3'] Exploring Operation: 24/3=8, Resulting Numbers: [37, 8] Generated Node #3: [37, 8] from Operation: 24/3=8 Current State: 45:[37, 8], Operations: ['85-82=3', '24/3=8'] Exploring Operation: 37+8=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 10, 88, 84, 7 ]
44
[ "84/7=12", "12-10=2", "88/2=44" ]
Current State: 44:[10, 88, 84, 7], Operations: [] Exploring Operation: 84/7=12, Resulting Numbers: [10, 88, 12] Generated Node #2: [10, 88, 12] from Operation: 84/7=12 Current State: 44:[10, 88, 12], Operations: ['84/7=12'] Exploring Operation: 12-10=2, Resulting Numbers: [88, 2] Generated Node #3: [88, 2] from Operation: 12-10=2 Current State: 44:[88, 2], Operations: ['84/7=12', '12-10=2'] Exploring Operation: 88/2=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 65, 30, 56, 17 ]
61
[ "30-17=13", "65/13=5", "56+5=61" ]
Current State: 61:[65, 30, 56, 17], Operations: [] Exploring Operation: 30-17=13, Resulting Numbers: [65, 56, 13] Generated Node #2: [65, 56, 13] from Operation: 30-17=13 Current State: 61:[65, 56, 13], Operations: ['30-17=13'] Exploring Operation: 65/13=5, Resulting Numbers: [56, 5] Generated Node #3: [56, 5] from Operation: 65/13=5 Current State: 61:[56, 5], Operations: ['30-17=13', '65/13=5'] Exploring Operation: 56+5=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 24, 54, 48, 20 ]
80
[ "24*20=480", "54-48=6", "480/6=80" ]
Current State: 80:[24, 54, 48, 20], Operations: [] Exploring Operation: 24*20=480, Resulting Numbers: [54, 48, 480] Generated Node #2: [54, 48, 480] from Operation: 24*20=480 Current State: 80:[54, 48, 480], Operations: ['24*20=480'] Exploring Operation: 54-48=6, Resulting Numbers: [480, 6] Generated Node #3: [480, 6] from Operation: 54-48=6 Current State: 80:[480, 6], Operations: ['24*20=480', '54-48=6'] Exploring Operation: 480/6=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 75, 71, 68, 3 ]
26
[ "75+71=146", "146-68=78", "78/3=26" ]
Current State: 26:[75, 71, 68, 3], Operations: [] Exploring Operation: 75+71=146, Resulting Numbers: [68, 3, 146] Generated Node #2: [68, 3, 146] from Operation: 75+71=146 Current State: 26:[68, 3, 146], Operations: ['75+71=146'] Exploring Operation: 146-68=78, Resulting Numbers: [3, 78] Generated Node #3: [3, 78] from Operation: 146-68=78 Current State: 26:[3, 78], Operations: ['75+71=146', '146-68=78'] Exploring Operation: 78/3=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 15, 71, 81, 9 ]
60
[ "15-9=6", "81-71=10", "6*10=60" ]
Current State: 60:[15, 71, 81, 9], Operations: [] Exploring Operation: 15-9=6, Resulting Numbers: [71, 81, 6] Generated Node #2: [71, 81, 6] from Operation: 15-9=6 Current State: 60:[71, 81, 6], Operations: ['15-9=6'] Exploring Operation: 81-71=10, Resulting Numbers: [6, 10] Generated Node #3: [6, 10] from Operation: 81-71=10 Current State: 60:[6, 10], Operations: ['15-9=6', '81-71=10'] Exploring Operation: 6*10=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 7, 84, 38, 62 ]
36
[ "84/7=12", "62-38=24", "12+24=36" ]
Current State: 36:[7, 84, 38, 62], Operations: [] Exploring Operation: 84/7=12, Resulting Numbers: [38, 62, 12] Generated Node #2: [38, 62, 12] from Operation: 84/7=12 Current State: 36:[38, 62, 12], Operations: ['84/7=12'] Exploring Operation: 62-38=24, Resulting Numbers: [12, 24] Generated Node #3: [12, 24] from Operation: 62-38=24 Current State: 36:[12, 24], Operations: ['84/7=12', '62-38=24'] Exploring Operation: 12+24=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 93, 54, 16, 58 ]
97
[ "58-54=4", "16/4=4", "93+4=97" ]
Current State: 97:[93, 54, 16, 58], Operations: [] Exploring Operation: 58-54=4, Resulting Numbers: [93, 16, 4] Generated Node #2: [93, 16, 4] from Operation: 58-54=4 Current State: 97:[93, 16, 4], Operations: ['58-54=4'] Exploring Operation: 16/4=4, Resulting Numbers: [93, 4] Generated Node #3: [93, 4] from Operation: 16/4=4 Current State: 97:[93, 4], Operations: ['58-54=4', '16/4=4'] Exploring Operation: 93+4=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 66, 30, 5, 23 ]
18
[ "66-30=36", "23-5=18", "36-18=18" ]
Current State: 18:[66, 30, 5, 23], Operations: [] Exploring Operation: 66-30=36, Resulting Numbers: [5, 23, 36] Generated Node #2: [5, 23, 36] from Operation: 66-30=36 Current State: 18:[5, 23, 36], Operations: ['66-30=36'] Exploring Operation: 23-5=18, Resulting Numbers: [36, 18] Generated Node #3: [36, 18] from Operation: 23-5=18 Current State: 18:[36, 18], Operations: ['66-30=36', '23-5=18'] Exploring Operation: 36-18=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 25, 11, 19, 92 ]
75
[ "25+11=36", "19+92=111", "111-36=75" ]
Current State: 75:[25, 11, 19, 92], Operations: [] Exploring Operation: 25+11=36, Resulting Numbers: [19, 92, 36] Generated Node #2: [19, 92, 36] from Operation: 25+11=36 Current State: 75:[19, 92, 36], Operations: ['25+11=36'] Exploring Operation: 19+92=111, Resulting Numbers: [36, 111] Generated Node #3: [36, 111] from Operation: 19+92=111 Current State: 75:[36, 111], Operations: ['25+11=36', '19+92=111'] Exploring Operation: 111-36=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 15, 60, 63, 16 ]
20
[ "63-15=48", "60*16=960", "960/48=20" ]
Current State: 20:[15, 60, 63, 16], Operations: [] Exploring Operation: 63-15=48, Resulting Numbers: [60, 16, 48] Generated Node #2: [60, 16, 48] from Operation: 63-15=48 Current State: 20:[60, 16, 48], Operations: ['63-15=48'] Exploring Operation: 60*16=960, Resulting Numbers: [48, 960] Generated Node #3: [48, 960] from Operation: 60*16=960 Current State: 20:[48, 960], Operations: ['63-15=48', '60*16=960'] Exploring Operation: 960/48=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 95, 83, 92, 15 ]
88
[ "95-83=12", "15*12=180", "180-92=88" ]
Current State: 88:[95, 83, 92, 15], Operations: [] Exploring Operation: 95-83=12, Resulting Numbers: [92, 15, 12] Generated Node #2: [92, 15, 12] from Operation: 95-83=12 Current State: 88:[92, 15, 12], Operations: ['95-83=12'] Exploring Operation: 15*12=180, Resulting Numbers: [92, 180] Generated Node #3: [92, 180] from Operation: 15*12=180 Current State: 88:[92, 180], Operations: ['95-83=12', '15*12=180'] Exploring Operation: 180-92=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 96, 68, 16, 82 ]
14
[ "96+68=164", "164/82=2", "16-2=14" ]
Current State: 14:[96, 68, 16, 82], Operations: [] Exploring Operation: 96+68=164, Resulting Numbers: [16, 82, 164] Generated Node #2: [16, 82, 164] from Operation: 96+68=164 Current State: 14:[16, 82, 164], Operations: ['96+68=164'] Exploring Operation: 164/82=2, Resulting Numbers: [16, 2] Generated Node #3: [16, 2] from Operation: 164/82=2 Current State: 14:[16, 2], Operations: ['96+68=164', '164/82=2'] Exploring Operation: 16-2=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 27, 90, 14, 21 ]
87
[ "90*14=1260", "1260/21=60", "27+60=87" ]
Current State: 87:[27, 90, 14, 21], Operations: [] Exploring Operation: 90*14=1260, Resulting Numbers: [27, 21, 1260] Generated Node #2: [27, 21, 1260] from Operation: 90*14=1260 Current State: 87:[27, 21, 1260], Operations: ['90*14=1260'] Exploring Operation: 1260/21=60, Resulting Numbers: [27, 60] Generated Node #3: [27, 60] from Operation: 1260/21=60 Current State: 87:[27, 60], Operations: ['90*14=1260', '1260/21=60'] Exploring Operation: 27+60=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 96, 3, 24, 19 ]
45
[ "96/24=4", "19-4=15", "3*15=45" ]
Current State: 45:[96, 3, 24, 19], Operations: [] Exploring Operation: 96/24=4, Resulting Numbers: [3, 19, 4] Generated Node #2: [3, 19, 4] from Operation: 96/24=4 Current State: 45:[3, 19, 4], Operations: ['96/24=4'] Exploring Operation: 19-4=15, Resulting Numbers: [3, 15] Generated Node #3: [3, 15] from Operation: 19-4=15 Current State: 45:[3, 15], Operations: ['96/24=4', '19-4=15'] Exploring Operation: 3*15=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 6, 59, 31, 71 ]
97
[ "59-31=28", "6*28=168", "168-71=97" ]
Current State: 97:[6, 59, 31, 71], Operations: [] Exploring Operation: 59-31=28, Resulting Numbers: [6, 71, 28] Generated Node #2: [6, 71, 28] from Operation: 59-31=28 Current State: 97:[6, 71, 28], Operations: ['59-31=28'] Exploring Operation: 6*28=168, Resulting Numbers: [71, 168] Generated Node #3: [71, 168] from Operation: 6*28=168 Current State: 97:[71, 168], Operations: ['59-31=28', '6*28=168'] Exploring Operation: 168-71=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 35, 88, 94, 2 ]
64
[ "35*2=70", "94-88=6", "70-6=64" ]
Current State: 64:[35, 88, 94, 2], Operations: [] Exploring Operation: 35*2=70, Resulting Numbers: [88, 94, 70] Generated Node #2: [88, 94, 70] from Operation: 35*2=70 Current State: 64:[88, 94, 70], Operations: ['35*2=70'] Exploring Operation: 94-88=6, Resulting Numbers: [70, 6] Generated Node #3: [70, 6] from Operation: 94-88=6 Current State: 64:[70, 6], Operations: ['35*2=70', '94-88=6'] Exploring Operation: 70-6=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 53, 70, 45, 64 ]
92
[ "70-53=17", "45+64=109", "109-17=92" ]
Current State: 92:[53, 70, 45, 64], Operations: [] Exploring Operation: 70-53=17, Resulting Numbers: [45, 64, 17] Generated Node #2: [45, 64, 17] from Operation: 70-53=17 Current State: 92:[45, 64, 17], Operations: ['70-53=17'] Exploring Operation: 45+64=109, Resulting Numbers: [17, 109] Generated Node #3: [17, 109] from Operation: 45+64=109 Current State: 92:[17, 109], Operations: ['70-53=17', '45+64=109'] Exploring Operation: 109-17=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 68, 46, 31, 3 ]
39
[ "68+31=99", "46*3=138", "138-99=39" ]
Current State: 39:[68, 46, 31, 3], Operations: [] Exploring Operation: 68+31=99, Resulting Numbers: [46, 3, 99] Generated Node #2: [46, 3, 99] from Operation: 68+31=99 Current State: 39:[46, 3, 99], Operations: ['68+31=99'] Exploring Operation: 46*3=138, Resulting Numbers: [99, 138] Generated Node #3: [99, 138] from Operation: 46*3=138 Current State: 39:[99, 138], Operations: ['68+31=99', '46*3=138'] Exploring Operation: 138-99=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 43, 94, 39, 8 ]
96
[ "94-43=51", "51-39=12", "8*12=96" ]
Current State: 96:[43, 94, 39, 8], Operations: [] Exploring Operation: 94-43=51, Resulting Numbers: [39, 8, 51] Generated Node #2: [39, 8, 51] from Operation: 94-43=51 Current State: 96:[39, 8, 51], Operations: ['94-43=51'] Exploring Operation: 51-39=12, Resulting Numbers: [8, 12] Generated Node #3: [8, 12] from Operation: 51-39=12 Current State: 96:[8, 12], Operations: ['94-43=51', '51-39=12'] Exploring Operation: 8*12=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 34, 54, 5, 64 ]
19
[ "34+54=88", "5+64=69", "88-69=19" ]
Current State: 19:[34, 54, 5, 64], Operations: [] Exploring Operation: 34+54=88, Resulting Numbers: [5, 64, 88] Generated Node #2: [5, 64, 88] from Operation: 34+54=88 Current State: 19:[5, 64, 88], Operations: ['34+54=88'] Exploring Operation: 5+64=69, Resulting Numbers: [88, 69] Generated Node #3: [88, 69] from Operation: 5+64=69 Current State: 19:[88, 69], Operations: ['34+54=88', '5+64=69'] Exploring Operation: 88-69=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 30, 66, 4, 56 ]
24
[ "66-30=36", "4+56=60", "60-36=24" ]
Current State: 24:[30, 66, 4, 56], Operations: [] Exploring Operation: 66-30=36, Resulting Numbers: [4, 56, 36] Generated Node #2: [4, 56, 36] from Operation: 66-30=36 Current State: 24:[4, 56, 36], Operations: ['66-30=36'] Exploring Operation: 4+56=60, Resulting Numbers: [36, 60] Generated Node #3: [36, 60] from Operation: 4+56=60 Current State: 24:[36, 60], Operations: ['66-30=36', '4+56=60'] Exploring Operation: 60-36=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 36, 86, 99, 65 ]
16
[ "86-36=50", "99-65=34", "50-34=16" ]
Current State: 16:[36, 86, 99, 65], Operations: [] Exploring Operation: 86-36=50, Resulting Numbers: [99, 65, 50] Generated Node #2: [99, 65, 50] from Operation: 86-36=50 Current State: 16:[99, 65, 50], Operations: ['86-36=50'] Exploring Operation: 99-65=34, Resulting Numbers: [50, 34] Generated Node #3: [50, 34] from Operation: 99-65=34 Current State: 16:[50, 34], Operations: ['86-36=50', '99-65=34'] Exploring Operation: 50-34=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 3, 35, 67, 24 ]
42
[ "35+67=102", "24+102=126", "126/3=42" ]
Current State: 42:[3, 35, 67, 24], Operations: [] Exploring Operation: 35+67=102, Resulting Numbers: [3, 24, 102] Generated Node #2: [3, 24, 102] from Operation: 35+67=102 Current State: 42:[3, 24, 102], Operations: ['35+67=102'] Exploring Operation: 24+102=126, Resulting Numbers: [3, 126] Generated Node #3: [3, 126] from Operation: 24+102=126 Current State: 42:[3, 126], Operations: ['35+67=102', '24+102=126'] Exploring Operation: 126/3=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 79, 27, 8, 61 ]
21
[ "8*61=488", "79+488=567", "567/27=21" ]
Current State: 21:[79, 27, 8, 61], Operations: [] Exploring Operation: 8*61=488, Resulting Numbers: [79, 27, 488] Generated Node #2: [79, 27, 488] from Operation: 8*61=488 Current State: 21:[79, 27, 488], Operations: ['8*61=488'] Exploring Operation: 79+488=567, Resulting Numbers: [27, 567] Generated Node #3: [27, 567] from Operation: 79+488=567 Current State: 21:[27, 567], Operations: ['8*61=488', '79+488=567'] Exploring Operation: 567/27=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 14, 41, 31, 35 ]
25
[ "41-31=10", "35*10=350", "350/14=25" ]
Current State: 25:[14, 41, 31, 35], Operations: [] Exploring Operation: 41-31=10, Resulting Numbers: [14, 35, 10] Generated Node #2: [14, 35, 10] from Operation: 41-31=10 Current State: 25:[14, 35, 10], Operations: ['41-31=10'] Exploring Operation: 35*10=350, Resulting Numbers: [14, 350] Generated Node #3: [14, 350] from Operation: 35*10=350 Current State: 25:[14, 350], Operations: ['41-31=10', '35*10=350'] Exploring Operation: 350/14=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 40, 9, 75, 9 ]
53
[ "40-9=31", "75+9=84", "84-31=53" ]
Current State: 53:[40, 9, 75, 9], Operations: [] Exploring Operation: 40-9=31, Resulting Numbers: [75, 31] Generated Node #2: [75, 31] from Operation: 40-9=31 Current State: 53:[75, 31], Operations: ['40-9=31'] Exploring Operation: 75+9=84, Resulting Numbers: [31, 84] Generated Node #3: [31, 84] from Operation: 75+9=84 Current State: 53:[31, 84], Operations: ['40-9=31', '75+9=84'] Exploring Operation: 84-31=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 73, 79, 36, 66 ]
47
[ "79-73=6", "66/6=11", "36+11=47" ]
Current State: 47:[73, 79, 36, 66], Operations: [] Exploring Operation: 79-73=6, Resulting Numbers: [36, 66, 6] Generated Node #2: [36, 66, 6] from Operation: 79-73=6 Current State: 47:[36, 66, 6], Operations: ['79-73=6'] Exploring Operation: 66/6=11, Resulting Numbers: [36, 11] Generated Node #3: [36, 11] from Operation: 66/6=11 Current State: 47:[36, 11], Operations: ['79-73=6', '66/6=11'] Exploring Operation: 36+11=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 24, 32, 10, 60 ]
55
[ "24*60=1440", "1440/32=45", "10+45=55" ]
Current State: 55:[24, 32, 10, 60], Operations: [] Exploring Operation: 24*60=1440, Resulting Numbers: [32, 10, 1440] Generated Node #2: [32, 10, 1440] from Operation: 24*60=1440 Current State: 55:[32, 10, 1440], Operations: ['24*60=1440'] Exploring Operation: 1440/32=45, Resulting Numbers: [10, 45] Generated Node #3: [10, 45] from Operation: 1440/32=45 Current State: 55:[10, 45], Operations: ['24*60=1440', '1440/32=45'] Exploring Operation: 10+45=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 65, 4, 61, 21 ]
55
[ "61-21=40", "40/4=10", "65-10=55" ]
Current State: 55:[65, 4, 61, 21], Operations: [] Exploring Operation: 61-21=40, Resulting Numbers: [65, 4, 40] Generated Node #2: [65, 4, 40] from Operation: 61-21=40 Current State: 55:[65, 4, 40], Operations: ['61-21=40'] Exploring Operation: 40/4=10, Resulting Numbers: [65, 10] Generated Node #3: [65, 10] from Operation: 40/4=10 Current State: 55:[65, 10], Operations: ['61-21=40', '40/4=10'] Exploring Operation: 65-10=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 70, 73, 40, 42 ]
76
[ "42-40=2", "73*2=146", "146-70=76" ]
Current State: 76:[70, 73, 40, 42], Operations: [] Exploring Operation: 42-40=2, Resulting Numbers: [70, 73, 2] Generated Node #2: [70, 73, 2] from Operation: 42-40=2 Current State: 76:[70, 73, 2], Operations: ['42-40=2'] Exploring Operation: 73*2=146, Resulting Numbers: [70, 146] Generated Node #3: [70, 146] from Operation: 73*2=146 Current State: 76:[70, 146], Operations: ['42-40=2', '73*2=146'] Exploring Operation: 146-70=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 32, 12, 83, 20 ]
84
[ "32-12=20", "20/20=1", "83+1=84" ]
Current State: 84:[32, 12, 83, 20], Operations: [] Exploring Operation: 32-12=20, Resulting Numbers: [83, 20, 20] Generated Node #2: [83, 20, 20] from Operation: 32-12=20 Current State: 84:[83, 20, 20], Operations: ['32-12=20'] Exploring Operation: 20/20=1, Resulting Numbers: [83, 1] Generated Node #3: [83, 1] from Operation: 20/20=1 Current State: 84:[83, 1], Operations: ['32-12=20', '20/20=1'] Exploring Operation: 83+1=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 92, 97, 96, 15 ]
32
[ "97-92=5", "96*5=480", "480/15=32" ]
Current State: 32:[92, 97, 96, 15], Operations: [] Exploring Operation: 97-92=5, Resulting Numbers: [96, 15, 5] Generated Node #2: [96, 15, 5] from Operation: 97-92=5 Current State: 32:[96, 15, 5], Operations: ['97-92=5'] Exploring Operation: 96*5=480, Resulting Numbers: [15, 480] Generated Node #3: [15, 480] from Operation: 96*5=480 Current State: 32:[15, 480], Operations: ['97-92=5', '96*5=480'] Exploring Operation: 480/15=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 13, 26, 86, 49 ]
74
[ "26/13=2", "86-49=37", "2*37=74" ]
Current State: 74:[13, 26, 86, 49], Operations: [] Exploring Operation: 26/13=2, Resulting Numbers: [86, 49, 2] Generated Node #2: [86, 49, 2] from Operation: 26/13=2 Current State: 74:[86, 49, 2], Operations: ['26/13=2'] Exploring Operation: 86-49=37, Resulting Numbers: [2, 37] Generated Node #3: [2, 37] from Operation: 86-49=37 Current State: 74:[2, 37], Operations: ['26/13=2', '86-49=37'] Exploring Operation: 2*37=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 10, 97, 15, 34 ]
46
[ "15*34=510", "510/10=51", "97-51=46" ]
Current State: 46:[10, 97, 15, 34], Operations: [] Exploring Operation: 15*34=510, Resulting Numbers: [10, 97, 510] Generated Node #2: [10, 97, 510] from Operation: 15*34=510 Current State: 46:[10, 97, 510], Operations: ['15*34=510'] Exploring Operation: 510/10=51, Resulting Numbers: [97, 51] Generated Node #3: [97, 51] from Operation: 510/10=51 Current State: 46:[97, 51], Operations: ['15*34=510', '510/10=51'] Exploring Operation: 97-51=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 48, 15, 44, 21 ]
98
[ "48-15=33", "44+21=65", "33+65=98" ]
Current State: 98:[48, 15, 44, 21], Operations: [] Exploring Operation: 48-15=33, Resulting Numbers: [44, 21, 33] Generated Node #2: [44, 21, 33] from Operation: 48-15=33 Current State: 98:[44, 21, 33], Operations: ['48-15=33'] Exploring Operation: 44+21=65, Resulting Numbers: [33, 65] Generated Node #3: [33, 65] from Operation: 44+21=65 Current State: 98:[33, 65], Operations: ['48-15=33', '44+21=65'] Exploring Operation: 33+65=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 60, 69, 87, 19 ]
60
[ "87-69=18", "19-18=1", "60*1=60" ]
Current State: 60:[60, 69, 87, 19], Operations: [] Exploring Operation: 87-69=18, Resulting Numbers: [60, 19, 18] Generated Node #2: [60, 19, 18] from Operation: 87-69=18 Current State: 60:[60, 19, 18], Operations: ['87-69=18'] Exploring Operation: 19-18=1, Resulting Numbers: [60, 1] Generated Node #3: [60, 1] from Operation: 19-18=1 Current State: 60:[60, 1], Operations: ['87-69=18', '19-18=1'] Exploring Operation: 60*1=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 71, 67, 22, 90 ]
28
[ "71-67=4", "22+90=112", "112/4=28" ]
Current State: 28:[71, 67, 22, 90], Operations: [] Exploring Operation: 71-67=4, Resulting Numbers: [22, 90, 4] Generated Node #2: [22, 90, 4] from Operation: 71-67=4 Current State: 28:[22, 90, 4], Operations: ['71-67=4'] Exploring Operation: 22+90=112, Resulting Numbers: [4, 112] Generated Node #3: [4, 112] from Operation: 22+90=112 Current State: 28:[4, 112], Operations: ['71-67=4', '22+90=112'] Exploring Operation: 112/4=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 10, 31, 72, 74 ]
26
[ "74-72=2", "10/2=5", "31-5=26" ]
Current State: 26:[10, 31, 72, 74], Operations: [] Exploring Operation: 74-72=2, Resulting Numbers: [10, 31, 2] Generated Node #2: [10, 31, 2] from Operation: 74-72=2 Current State: 26:[10, 31, 2], Operations: ['74-72=2'] Exploring Operation: 10/2=5, Resulting Numbers: [31, 5] Generated Node #3: [31, 5] from Operation: 10/2=5 Current State: 26:[31, 5], Operations: ['74-72=2', '10/2=5'] Exploring Operation: 31-5=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 27, 44, 58, 25 ]
100
[ "44-27=17", "58+25=83", "17+83=100" ]
Current State: 100:[27, 44, 58, 25], Operations: [] Exploring Operation: 44-27=17, Resulting Numbers: [58, 25, 17] Generated Node #2: [58, 25, 17] from Operation: 44-27=17 Current State: 100:[58, 25, 17], Operations: ['44-27=17'] Exploring Operation: 58+25=83, Resulting Numbers: [17, 83] Generated Node #3: [17, 83] from Operation: 58+25=83 Current State: 100:[17, 83], Operations: ['44-27=17', '58+25=83'] Exploring Operation: 17+83=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 2, 15, 5, 74 ]
56
[ "15-2=13", "74-5=69", "69-13=56" ]
Current State: 56:[2, 15, 5, 74], Operations: [] Exploring Operation: 15-2=13, Resulting Numbers: [5, 74, 13] Generated Node #2: [5, 74, 13] from Operation: 15-2=13 Current State: 56:[5, 74, 13], Operations: ['15-2=13'] Exploring Operation: 74-5=69, Resulting Numbers: [13, 69] Generated Node #3: [13, 69] from Operation: 74-5=69 Current State: 56:[13, 69], Operations: ['15-2=13', '74-5=69'] Exploring Operation: 69-13=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 29, 26, 20, 37 ]
99
[ "29-20=9", "37-26=11", "9*11=99" ]
Current State: 99:[29, 26, 20, 37], Operations: [] Exploring Operation: 29-20=9, Resulting Numbers: [26, 37, 9] Generated Node #2: [26, 37, 9] from Operation: 29-20=9 Current State: 99:[26, 37, 9], Operations: ['29-20=9'] Exploring Operation: 37-26=11, Resulting Numbers: [9, 11] Generated Node #3: [9, 11] from Operation: 37-26=11 Current State: 99:[9, 11], Operations: ['29-20=9', '37-26=11'] Exploring Operation: 9*11=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 91, 46, 2, 6 ]
93
[ "6-2=4", "46*4=184", "184-91=93" ]
Current State: 93:[91, 46, 2, 6], Operations: [] Exploring Operation: 6-2=4, Resulting Numbers: [91, 46, 4] Generated Node #2: [91, 46, 4] from Operation: 6-2=4 Current State: 93:[91, 46, 4], Operations: ['6-2=4'] Exploring Operation: 46*4=184, Resulting Numbers: [91, 184] Generated Node #3: [91, 184] from Operation: 46*4=184 Current State: 93:[91, 184], Operations: ['6-2=4', '46*4=184'] Exploring Operation: 184-91=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 36, 60, 21, 56 ]
52
[ "36-21=15", "60/15=4", "56-4=52" ]
Current State: 52:[36, 60, 21, 56], Operations: [] Exploring Operation: 36-21=15, Resulting Numbers: [60, 56, 15] Generated Node #2: [60, 56, 15] from Operation: 36-21=15 Current State: 52:[60, 56, 15], Operations: ['36-21=15'] Exploring Operation: 60/15=4, Resulting Numbers: [56, 4] Generated Node #3: [56, 4] from Operation: 60/15=4 Current State: 52:[56, 4], Operations: ['36-21=15', '60/15=4'] Exploring Operation: 56-4=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 31, 89, 77, 35 ]
98
[ "89*35=3115", "3115-77=3038", "3038/31=98" ]
Current State: 98:[31, 89, 77, 35], Operations: [] Exploring Operation: 89*35=3115, Resulting Numbers: [31, 77, 3115] Generated Node #2: [31, 77, 3115] from Operation: 89*35=3115 Current State: 98:[31, 77, 3115], Operations: ['89*35=3115'] Exploring Operation: 3115-77=3038, Resulting Numbers: [31, 3038] Generated Node #3: [31, 3038] from Operation: 3115-77=3038 Current State: 98:[31, 3038], Operations: ['89*35=3115', '3115-77=3038'] Exploring Operation: 3038/31=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 55, 47, 67, 94 ]
61
[ "55+67=122", "94/47=2", "122/2=61" ]
Current State: 61:[55, 47, 67, 94], Operations: [] Exploring Operation: 55+67=122, Resulting Numbers: [47, 94, 122] Generated Node #2: [47, 94, 122] from Operation: 55+67=122 Current State: 61:[47, 94, 122], Operations: ['55+67=122'] Exploring Operation: 94/47=2, Resulting Numbers: [122, 2] Generated Node #3: [122, 2] from Operation: 94/47=2 Current State: 61:[122, 2], Operations: ['55+67=122', '94/47=2'] Exploring Operation: 122/2=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 16, 57, 73, 55 ]
55
[ "16+57=73", "73+55=128", "128-73=55" ]
Current State: 55:[16, 57, 73, 55], Operations: [] Exploring Operation: 16+57=73, Resulting Numbers: [73, 55, 73] Generated Node #2: [73, 55, 73] from Operation: 16+57=73 Current State: 55:[73, 55, 73], Operations: ['16+57=73'] Exploring Operation: 73+55=128, Resulting Numbers: [128] 128,55 equal: Goal Reached Exploring Operation: 128-73=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 48, 2, 33, 88 ]
29
[ "48-33=15", "88/2=44", "44-15=29" ]
Current State: 29:[48, 2, 33, 88], Operations: [] Exploring Operation: 48-33=15, Resulting Numbers: [2, 88, 15] Generated Node #2: [2, 88, 15] from Operation: 48-33=15 Current State: 29:[2, 88, 15], Operations: ['48-33=15'] Exploring Operation: 88/2=44, Resulting Numbers: [15, 44] Generated Node #3: [15, 44] from Operation: 88/2=44 Current State: 29:[15, 44], Operations: ['48-33=15', '88/2=44'] Exploring Operation: 44-15=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 33, 24, 61, 86 ]
34
[ "33-24=9", "86-61=25", "9+25=34" ]
Current State: 34:[33, 24, 61, 86], Operations: [] Exploring Operation: 33-24=9, Resulting Numbers: [61, 86, 9] Generated Node #2: [61, 86, 9] from Operation: 33-24=9 Current State: 34:[61, 86, 9], Operations: ['33-24=9'] Exploring Operation: 86-61=25, Resulting Numbers: [9, 25] Generated Node #3: [9, 25] from Operation: 86-61=25 Current State: 34:[9, 25], Operations: ['33-24=9', '86-61=25'] Exploring Operation: 9+25=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 14, 11, 12, 4 ]
48
[ "14-11=3", "12+4=16", "3*16=48" ]
Current State: 48:[14, 11, 12, 4], Operations: [] Exploring Operation: 14-11=3, Resulting Numbers: [12, 4, 3] Generated Node #2: [12, 4, 3] from Operation: 14-11=3 Current State: 48:[12, 4, 3], Operations: ['14-11=3'] Exploring Operation: 12+4=16, Resulting Numbers: [3, 16] Generated Node #3: [3, 16] from Operation: 12+4=16 Current State: 48:[3, 16], Operations: ['14-11=3', '12+4=16'] Exploring Operation: 3*16=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 68, 52, 57, 78 ]
15
[ "68+52=120", "57+78=135", "135-120=15" ]
Current State: 15:[68, 52, 57, 78], Operations: [] Exploring Operation: 68+52=120, Resulting Numbers: [57, 78, 120] Generated Node #2: [57, 78, 120] from Operation: 68+52=120 Current State: 15:[57, 78, 120], Operations: ['68+52=120'] Exploring Operation: 57+78=135, Resulting Numbers: [120, 135] Generated Node #3: [120, 135] from Operation: 57+78=135 Current State: 15:[120, 135], Operations: ['68+52=120', '57+78=135'] Exploring Operation: 135-120=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 28, 6, 95, 26 ]
89
[ "95-28=67", "6*26=156", "156-67=89" ]
Current State: 89:[28, 6, 95, 26], Operations: [] Exploring Operation: 95-28=67, Resulting Numbers: [6, 26, 67] Generated Node #2: [6, 26, 67] from Operation: 95-28=67 Current State: 89:[6, 26, 67], Operations: ['95-28=67'] Exploring Operation: 6*26=156, Resulting Numbers: [67, 156] Generated Node #3: [67, 156] from Operation: 6*26=156 Current State: 89:[67, 156], Operations: ['95-28=67', '6*26=156'] Exploring Operation: 156-67=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 15, 40, 5, 88 ]
51
[ "15/5=3", "88-40=48", "3+48=51" ]
Current State: 51:[15, 40, 5, 88], Operations: [] Exploring Operation: 15/5=3, Resulting Numbers: [40, 88, 3] Generated Node #2: [40, 88, 3] from Operation: 15/5=3 Current State: 51:[40, 88, 3], Operations: ['15/5=3'] Exploring Operation: 88-40=48, Resulting Numbers: [3, 48] Generated Node #3: [3, 48] from Operation: 88-40=48 Current State: 51:[3, 48], Operations: ['15/5=3', '88-40=48'] Exploring Operation: 3+48=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 2, 45, 94, 94 ]
89
[ "2*45=90", "94/94=1", "90-1=89" ]
Current State: 89:[2, 45, 94, 94], Operations: [] Exploring Operation: 2*45=90, Resulting Numbers: [94, 94, 90] Generated Node #2: [94, 94, 90] from Operation: 2*45=90 Current State: 89:[94, 94, 90], Operations: ['2*45=90'] Exploring Operation: 94/94=1, Resulting Numbers: [90, 1] Generated Node #3: [90, 1] from Operation: 94/94=1 Current State: 89:[90, 1], Operations: ['2*45=90', '94/94=1'] Exploring Operation: 90-1=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 44, 20, 8, 89 ]
73
[ "44-20=24", "8+89=97", "97-24=73" ]
Current State: 73:[44, 20, 8, 89], Operations: [] Exploring Operation: 44-20=24, Resulting Numbers: [8, 89, 24] Generated Node #2: [8, 89, 24] from Operation: 44-20=24 Current State: 73:[8, 89, 24], Operations: ['44-20=24'] Exploring Operation: 8+89=97, Resulting Numbers: [24, 97] Generated Node #3: [24, 97] from Operation: 8+89=97 Current State: 73:[24, 97], Operations: ['44-20=24', '8+89=97'] Exploring Operation: 97-24=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 38, 72, 64, 70 ]
26
[ "70-64=6", "72/6=12", "38-12=26" ]
Current State: 26:[38, 72, 64, 70], Operations: [] Exploring Operation: 70-64=6, Resulting Numbers: [38, 72, 6] Generated Node #2: [38, 72, 6] from Operation: 70-64=6 Current State: 26:[38, 72, 6], Operations: ['70-64=6'] Exploring Operation: 72/6=12, Resulting Numbers: [38, 12] Generated Node #3: [38, 12] from Operation: 72/6=12 Current State: 26:[38, 12], Operations: ['70-64=6', '72/6=12'] Exploring Operation: 38-12=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4