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
[ 87, 64, 12, 79 ]
20
[ "87-79=8", "64/8=8", "12+8=20" ]
Current State: 20:[87, 64, 12, 79], Operations: [] Exploring Operation: 87-79=8, Resulting Numbers: [64, 12, 8] Generated Node #2: [64, 12, 8] from Operation: 87-79=8 Current State: 20:[64, 12, 8], Operations: ['87-79=8'] Exploring Operation: 64/8=8, Resulting Numbers: [12, 8] Generated Node #3: [12, 8] from Operation: 64/8=8 Current State: 20:[12, 8], Operations: ['87-79=8', '64/8=8'] Exploring Operation: 12+8=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 55, 66, 44, 53 ]
47
[ "55-44=11", "66/11=6", "53-6=47" ]
Current State: 47:[55, 66, 44, 53], Operations: [] Exploring Operation: 55-44=11, Resulting Numbers: [66, 53, 11] Generated Node #2: [66, 53, 11] from Operation: 55-44=11 Current State: 47:[66, 53, 11], Operations: ['55-44=11'] Exploring Operation: 66/11=6, Resulting Numbers: [53, 6] Generated Node #3: [53, 6] from Operation: 66/11=6 Current State: 47:[53, 6], Operations: ['55-44=11', '66/11=6'] Exploring Operation: 53-6=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 66, 1, 27, 2 ]
93
[ "66+27=93", "2-1=1", "93*1=93" ]
Current State: 93:[66, 1, 27, 2], Operations: [] Exploring Operation: 66+27=93, Resulting Numbers: [1, 2, 93] Generated Node #2: [1, 2, 93] from Operation: 66+27=93 Current State: 93:[1, 2, 93], Operations: ['66+27=93'] Exploring Operation: 2-1=1, Resulting Numbers: [93, 1] Generated Node #3: [93, 1] from Operation: 2-1=1 Current State: 93:[93, 1], Operations: ['66+27=93', '2-1=1'] Exploring Operation: 93*1=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 3, 32, 61, 41 ]
92
[ "61-41=20", "3*20=60", "32+60=92" ]
Current State: 92:[3, 32, 61, 41], Operations: [] Exploring Operation: 61-41=20, Resulting Numbers: [3, 32, 20] Generated Node #2: [3, 32, 20] from Operation: 61-41=20 Current State: 92:[3, 32, 20], Operations: ['61-41=20'] Exploring Operation: 3*20=60, Resulting Numbers: [32, 60] Generated Node #3: [32, 60] from Operation: 3*20=60 Current State: 92:[32, 60], Operations: ['61-41=20', '3*20=60'] Exploring Operation: 32+60=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 82, 99, 74, 83 ]
25
[ "83-82=1", "99-74=25", "1*25=25" ]
Current State: 25:[82, 99, 74, 83], Operations: [] Exploring Operation: 83-82=1, Resulting Numbers: [99, 74, 1] Generated Node #2: [99, 74, 1] from Operation: 83-82=1 Current State: 25:[99, 74, 1], Operations: ['83-82=1'] Exploring Operation: 99-74=25, Resulting Numbers: [1, 25] Generated Node #3: [1, 25] from Operation: 99-74=25 Current State: 25:[1, 25], Operations: ['83-82=1', '99-74=25'] Exploring Operation: 1*25=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 84, 12, 44, 82 ]
20
[ "84-82=2", "12*2=24", "44-24=20" ]
Current State: 20:[84, 12, 44, 82], Operations: [] Exploring Operation: 84-82=2, Resulting Numbers: [12, 44, 2] Generated Node #2: [12, 44, 2] from Operation: 84-82=2 Current State: 20:[12, 44, 2], Operations: ['84-82=2'] Exploring Operation: 12*2=24, Resulting Numbers: [44, 24] Generated Node #3: [44, 24] from Operation: 12*2=24 Current State: 20:[44, 24], Operations: ['84-82=2', '12*2=24'] Exploring Operation: 44-24=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 17, 34, 72, 29 ]
14
[ "34/17=2", "29*2=58", "72-58=14" ]
Current State: 14:[17, 34, 72, 29], Operations: [] Exploring Operation: 34/17=2, Resulting Numbers: [72, 29, 2] Generated Node #2: [72, 29, 2] from Operation: 34/17=2 Current State: 14:[72, 29, 2], Operations: ['34/17=2'] Exploring Operation: 29*2=58, Resulting Numbers: [72, 58] Generated Node #3: [72, 58] from Operation: 29*2=58 Current State: 14:[72, 58], Operations: ['34/17=2', '29*2=58'] Exploring Operation: 72-58=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 44, 80, 64, 56 ]
54
[ "64-56=8", "80/8=10", "44+10=54" ]
Current State: 54:[44, 80, 64, 56], Operations: [] Exploring Operation: 64-56=8, Resulting Numbers: [44, 80, 8] Generated Node #2: [44, 80, 8] from Operation: 64-56=8 Current State: 54:[44, 80, 8], Operations: ['64-56=8'] Exploring Operation: 80/8=10, Resulting Numbers: [44, 10] Generated Node #3: [44, 10] from Operation: 80/8=10 Current State: 54:[44, 10], Operations: ['64-56=8', '80/8=10'] Exploring Operation: 44+10=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 36, 2, 64, 61 ]
57
[ "61-36=25", "64/2=32", "25+32=57" ]
Current State: 57:[36, 2, 64, 61], Operations: [] Exploring Operation: 61-36=25, Resulting Numbers: [2, 64, 25] Generated Node #2: [2, 64, 25] from Operation: 61-36=25 Current State: 57:[2, 64, 25], Operations: ['61-36=25'] Exploring Operation: 64/2=32, Resulting Numbers: [25, 32] Generated Node #3: [25, 32] from Operation: 64/2=32 Current State: 57:[25, 32], Operations: ['61-36=25', '64/2=32'] Exploring Operation: 25+32=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 26, 93, 28, 61 ]
86
[ "26+93=119", "61-28=33", "119-33=86" ]
Current State: 86:[26, 93, 28, 61], Operations: [] Exploring Operation: 26+93=119, Resulting Numbers: [28, 61, 119] Generated Node #2: [28, 61, 119] from Operation: 26+93=119 Current State: 86:[28, 61, 119], Operations: ['26+93=119'] Exploring Operation: 61-28=33, Resulting Numbers: [119, 33] Generated Node #3: [119, 33] from Operation: 61-28=33 Current State: 86:[119, 33], Operations: ['26+93=119', '61-28=33'] Exploring Operation: 119-33=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 65, 34, 37, 35 ]
38
[ "65+37=102", "102/34=3", "35+3=38" ]
Current State: 38:[65, 34, 37, 35], Operations: [] Exploring Operation: 65+37=102, Resulting Numbers: [34, 35, 102] Generated Node #2: [34, 35, 102] from Operation: 65+37=102 Current State: 38:[34, 35, 102], Operations: ['65+37=102'] Exploring Operation: 102/34=3, Resulting Numbers: [35, 3] Generated Node #3: [35, 3] from Operation: 102/34=3 Current State: 38:[35, 3], Operations: ['65+37=102', '102/34=3'] Exploring Operation: 35+3=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 54, 82, 48, 81 ]
10
[ "48*81=3888", "3888/54=72", "82-72=10" ]
Current State: 10:[54, 82, 48, 81], Operations: [] Exploring Operation: 48*81=3888, Resulting Numbers: [54, 82, 3888] Generated Node #2: [54, 82, 3888] from Operation: 48*81=3888 Current State: 10:[54, 82, 3888], Operations: ['48*81=3888'] Exploring Operation: 3888/54=72, Resulting Numbers: [82, 72] Generated Node #3: [82, 72] from Operation: 3888/54=72 Current State: 10:[82, 72], Operations: ['48*81=3888', '3888/54=72'] Exploring Operation: 82-72=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 5, 9, 83, 7 ]
39
[ "83-5=78", "9-7=2", "78/2=39" ]
Current State: 39:[5, 9, 83, 7], Operations: [] Exploring Operation: 83-5=78, Resulting Numbers: [9, 7, 78] Generated Node #2: [9, 7, 78] from Operation: 83-5=78 Current State: 39:[9, 7, 78], Operations: ['83-5=78'] Exploring Operation: 9-7=2, Resulting Numbers: [78, 2] Generated Node #3: [78, 2] from Operation: 9-7=2 Current State: 39:[78, 2], Operations: ['83-5=78', '9-7=2'] Exploring Operation: 78/2=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 40, 45, 37, 96 ]
48
[ "40+45=85", "37+96=133", "133-85=48" ]
Current State: 48:[40, 45, 37, 96], Operations: [] Exploring Operation: 40+45=85, Resulting Numbers: [37, 96, 85] Generated Node #2: [37, 96, 85] from Operation: 40+45=85 Current State: 48:[37, 96, 85], Operations: ['40+45=85'] Exploring Operation: 37+96=133, Resulting Numbers: [85, 133] Generated Node #3: [85, 133] from Operation: 37+96=133 Current State: 48:[85, 133], Operations: ['40+45=85', '37+96=133'] Exploring Operation: 133-85=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 40, 30, 55, 96 ]
81
[ "40+30=70", "55+96=151", "151-70=81" ]
Current State: 81:[40, 30, 55, 96], Operations: [] Exploring Operation: 40+30=70, Resulting Numbers: [55, 96, 70] Generated Node #2: [55, 96, 70] from Operation: 40+30=70 Current State: 81:[55, 96, 70], Operations: ['40+30=70'] Exploring Operation: 55+96=151, Resulting Numbers: [70, 151] Generated Node #3: [70, 151] from Operation: 55+96=151 Current State: 81:[70, 151], Operations: ['40+30=70', '55+96=151'] Exploring Operation: 151-70=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 55, 61, 59, 55 ]
59
[ "55-55=0", "61*0=0", "59+0=59" ]
Current State: 59:[55, 61, 59, 55], Operations: [] Exploring Operation: 55-55=0, Resulting Numbers: [61, 59, 0] Generated Node #2: [61, 59, 0] from Operation: 55-55=0 Current State: 59:[61, 59, 0], Operations: ['55-55=0'] Exploring Operation: 61*0=0, Resulting Numbers: [59, 0] Generated Node #3: [59, 0] from Operation: 61*0=0 Current State: 59:[59, 0], Operations: ['55-55=0', '61*0=0'] Exploring Operation: 59+0=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 13, 39, 76, 28 ]
100
[ "13+39=52", "76-28=48", "52+48=100" ]
Current State: 100:[13, 39, 76, 28], Operations: [] Exploring Operation: 13+39=52, Resulting Numbers: [76, 28, 52] Generated Node #2: [76, 28, 52] from Operation: 13+39=52 Current State: 100:[76, 28, 52], Operations: ['13+39=52'] Exploring Operation: 76-28=48, Resulting Numbers: [52, 48] Generated Node #3: [52, 48] from Operation: 76-28=48 Current State: 100:[52, 48], Operations: ['13+39=52', '76-28=48'] Exploring Operation: 52+48=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 23, 46, 44, 55 ]
77
[ "46/23=2", "44/2=22", "55+22=77" ]
Current State: 77:[23, 46, 44, 55], Operations: [] Exploring Operation: 46/23=2, Resulting Numbers: [44, 55, 2] Generated Node #2: [44, 55, 2] from Operation: 46/23=2 Current State: 77:[44, 55, 2], Operations: ['46/23=2'] Exploring Operation: 44/2=22, Resulting Numbers: [55, 22] Generated Node #3: [55, 22] from Operation: 44/2=22 Current State: 77:[55, 22], Operations: ['46/23=2', '44/2=22'] Exploring Operation: 55+22=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 6, 17, 76, 69 ]
16
[ "6+17=23", "76-69=7", "23-7=16" ]
Current State: 16:[6, 17, 76, 69], Operations: [] Exploring Operation: 6+17=23, Resulting Numbers: [76, 69, 23] Generated Node #2: [76, 69, 23] from Operation: 6+17=23 Current State: 16:[76, 69, 23], Operations: ['6+17=23'] Exploring Operation: 76-69=7, Resulting Numbers: [23, 7] Generated Node #3: [23, 7] from Operation: 76-69=7 Current State: 16:[23, 7], Operations: ['6+17=23', '76-69=7'] Exploring Operation: 23-7=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 17, 91, 11, 27 ]
90
[ "91-17=74", "27-11=16", "74+16=90" ]
Current State: 90:[17, 91, 11, 27], Operations: [] Exploring Operation: 91-17=74, Resulting Numbers: [11, 27, 74] Generated Node #2: [11, 27, 74] from Operation: 91-17=74 Current State: 90:[11, 27, 74], Operations: ['91-17=74'] Exploring Operation: 27-11=16, Resulting Numbers: [74, 16] Generated Node #3: [74, 16] from Operation: 27-11=16 Current State: 90:[74, 16], Operations: ['91-17=74', '27-11=16'] Exploring Operation: 74+16=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 22, 20, 12, 5 ]
49
[ "22+20=42", "12-5=7", "42+7=49" ]
Current State: 49:[22, 20, 12, 5], Operations: [] Exploring Operation: 22+20=42, Resulting Numbers: [12, 5, 42] Generated Node #2: [12, 5, 42] from Operation: 22+20=42 Current State: 49:[12, 5, 42], Operations: ['22+20=42'] Exploring Operation: 12-5=7, Resulting Numbers: [42, 7] Generated Node #3: [42, 7] from Operation: 12-5=7 Current State: 49:[42, 7], Operations: ['22+20=42', '12-5=7'] Exploring Operation: 42+7=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 71, 49, 97, 64 ]
11
[ "71-49=22", "97-64=33", "33-22=11" ]
Current State: 11:[71, 49, 97, 64], Operations: [] Exploring Operation: 71-49=22, Resulting Numbers: [97, 64, 22] Generated Node #2: [97, 64, 22] from Operation: 71-49=22 Current State: 11:[97, 64, 22], Operations: ['71-49=22'] Exploring Operation: 97-64=33, Resulting Numbers: [22, 33] Generated Node #3: [22, 33] from Operation: 97-64=33 Current State: 11:[22, 33], Operations: ['71-49=22', '97-64=33'] Exploring Operation: 33-22=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 16, 40, 63, 91 ]
84
[ "16+40=56", "91-63=28", "56+28=84" ]
Current State: 84:[16, 40, 63, 91], Operations: [] Exploring Operation: 16+40=56, Resulting Numbers: [63, 91, 56] Generated Node #2: [63, 91, 56] from Operation: 16+40=56 Current State: 84:[63, 91, 56], Operations: ['16+40=56'] Exploring Operation: 91-63=28, Resulting Numbers: [56, 28] Generated Node #3: [56, 28] from Operation: 91-63=28 Current State: 84:[56, 28], Operations: ['16+40=56', '91-63=28'] Exploring Operation: 56+28=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 55, 88, 4, 31 ]
46
[ "55-31=24", "88/4=22", "24+22=46" ]
Current State: 46:[55, 88, 4, 31], Operations: [] Exploring Operation: 55-31=24, Resulting Numbers: [88, 4, 24] Generated Node #2: [88, 4, 24] from Operation: 55-31=24 Current State: 46:[88, 4, 24], Operations: ['55-31=24'] Exploring Operation: 88/4=22, Resulting Numbers: [24, 22] Generated Node #3: [24, 22] from Operation: 88/4=22 Current State: 46:[24, 22], Operations: ['55-31=24', '88/4=22'] Exploring Operation: 24+22=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 14, 2, 32, 39 ]
55
[ "14+2=16", "32+39=71", "71-16=55" ]
Current State: 55:[14, 2, 32, 39], Operations: [] Exploring Operation: 14+2=16, Resulting Numbers: [32, 39, 16] Generated Node #2: [32, 39, 16] from Operation: 14+2=16 Current State: 55:[32, 39, 16], Operations: ['14+2=16'] Exploring Operation: 32+39=71, Resulting Numbers: [16, 71] Generated Node #3: [16, 71] from Operation: 32+39=71 Current State: 55:[16, 71], Operations: ['14+2=16', '32+39=71'] Exploring Operation: 71-16=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 28, 95, 8, 6 ]
97
[ "8+6=14", "28/14=2", "95+2=97" ]
Current State: 97:[28, 95, 8, 6], Operations: [] Exploring Operation: 8+6=14, Resulting Numbers: [28, 95, 14] Generated Node #2: [28, 95, 14] from Operation: 8+6=14 Current State: 97:[28, 95, 14], Operations: ['8+6=14'] Exploring Operation: 28/14=2, Resulting Numbers: [95, 2] Generated Node #3: [95, 2] from Operation: 28/14=2 Current State: 97:[95, 2], Operations: ['8+6=14', '28/14=2'] Exploring Operation: 95+2=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 47, 92, 24, 66 ]
87
[ "92-47=45", "66-24=42", "45+42=87" ]
Current State: 87:[47, 92, 24, 66], Operations: [] Exploring Operation: 92-47=45, Resulting Numbers: [24, 66, 45] Generated Node #2: [24, 66, 45] from Operation: 92-47=45 Current State: 87:[24, 66, 45], Operations: ['92-47=45'] Exploring Operation: 66-24=42, Resulting Numbers: [45, 42] Generated Node #3: [45, 42] from Operation: 66-24=42 Current State: 87:[45, 42], Operations: ['92-47=45', '66-24=42'] Exploring Operation: 45+42=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 40, 43, 10, 7 ]
77
[ "10-7=3", "40*3=120", "120-43=77" ]
Current State: 77:[40, 43, 10, 7], Operations: [] Exploring Operation: 10-7=3, Resulting Numbers: [40, 43, 3] Generated Node #2: [40, 43, 3] from Operation: 10-7=3 Current State: 77:[40, 43, 3], Operations: ['10-7=3'] Exploring Operation: 40*3=120, Resulting Numbers: [43, 120] Generated Node #3: [43, 120] from Operation: 40*3=120 Current State: 77:[43, 120], Operations: ['10-7=3', '40*3=120'] Exploring Operation: 120-43=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 42, 89, 38, 51 ]
42
[ "42+89=131", "38+51=89", "131-89=42" ]
Current State: 42:[42, 89, 38, 51], Operations: [] Exploring Operation: 42+89=131, Resulting Numbers: [38, 51, 131] Generated Node #2: [38, 51, 131] from Operation: 42+89=131 Current State: 42:[38, 51, 131], Operations: ['42+89=131'] Exploring Operation: 38+51=89, Resulting Numbers: [131, 89] Generated Node #3: [131, 89] from Operation: 38+51=89 Current State: 42:[131, 89], Operations: ['42+89=131', '38+51=89'] Exploring Operation: 131-89=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 4, 52, 38, 8 ]
58
[ "4*8=32", "52+38=90", "90-32=58" ]
Current State: 58:[4, 52, 38, 8], Operations: [] Exploring Operation: 4*8=32, Resulting Numbers: [52, 38, 32] Generated Node #2: [52, 38, 32] from Operation: 4*8=32 Current State: 58:[52, 38, 32], Operations: ['4*8=32'] Exploring Operation: 52+38=90, Resulting Numbers: [32, 90] Generated Node #3: [32, 90] from Operation: 52+38=90 Current State: 58:[32, 90], Operations: ['4*8=32', '52+38=90'] Exploring Operation: 90-32=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 95, 2, 29, 50 ]
58
[ "95-29=66", "50+66=116", "116/2=58" ]
Current State: 58:[95, 2, 29, 50], Operations: [] Exploring Operation: 95-29=66, Resulting Numbers: [2, 50, 66] Generated Node #2: [2, 50, 66] from Operation: 95-29=66 Current State: 58:[2, 50, 66], Operations: ['95-29=66'] Exploring Operation: 50+66=116, Resulting Numbers: [2, 116] Generated Node #3: [2, 116] from Operation: 50+66=116 Current State: 58:[2, 116], Operations: ['95-29=66', '50+66=116'] Exploring Operation: 116/2=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 26, 39, 6, 9 ]
12
[ "26*9=234", "234/39=6", "6+6=12" ]
Current State: 12:[26, 39, 6, 9], Operations: [] Exploring Operation: 26*9=234, Resulting Numbers: [39, 6, 234] Generated Node #2: [39, 6, 234] from Operation: 26*9=234 Current State: 12:[39, 6, 234], Operations: ['26*9=234'] Exploring Operation: 234/39=6, Resulting Numbers: [6, 6] Generated Node #3: [6, 6] from Operation: 234/39=6 Current State: 12:[6, 6], Operations: ['26*9=234', '234/39=6'] Exploring Operation: 6+6=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 43, 8, 97, 71 ]
77
[ "43+8=51", "97-71=26", "51+26=77" ]
Current State: 77:[43, 8, 97, 71], Operations: [] Exploring Operation: 43+8=51, Resulting Numbers: [97, 71, 51] Generated Node #2: [97, 71, 51] from Operation: 43+8=51 Current State: 77:[97, 71, 51], Operations: ['43+8=51'] Exploring Operation: 97-71=26, Resulting Numbers: [51, 26] Generated Node #3: [51, 26] from Operation: 97-71=26 Current State: 77:[51, 26], Operations: ['43+8=51', '97-71=26'] Exploring Operation: 51+26=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 9, 32, 23, 30 ]
64
[ "9+23=32", "32-30=2", "32*2=64" ]
Current State: 64:[9, 32, 23, 30], Operations: [] Exploring Operation: 9+23=32, Resulting Numbers: [32, 30, 32] Generated Node #2: [32, 30, 32] from Operation: 9+23=32 Current State: 64:[32, 30, 32], Operations: ['9+23=32'] Exploring Operation: 32-30=2, Resulting Numbers: [2] 2,64 equal: Goal Reached Exploring Operation: 32*2=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 33, 7, 39, 13 ]
29
[ "33-7=26", "39/13=3", "26+3=29" ]
Current State: 29:[33, 7, 39, 13], Operations: [] Exploring Operation: 33-7=26, Resulting Numbers: [39, 13, 26] Generated Node #2: [39, 13, 26] from Operation: 33-7=26 Current State: 29:[39, 13, 26], Operations: ['33-7=26'] Exploring Operation: 39/13=3, Resulting Numbers: [26, 3] Generated Node #3: [26, 3] from Operation: 39/13=3 Current State: 29:[26, 3], Operations: ['33-7=26', '39/13=3'] Exploring Operation: 26+3=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 16, 93, 6, 65 ]
18
[ "93-16=77", "65-6=59", "77-59=18" ]
Current State: 18:[16, 93, 6, 65], Operations: [] Exploring Operation: 93-16=77, Resulting Numbers: [6, 65, 77] Generated Node #2: [6, 65, 77] from Operation: 93-16=77 Current State: 18:[6, 65, 77], Operations: ['93-16=77'] Exploring Operation: 65-6=59, Resulting Numbers: [77, 59] Generated Node #3: [77, 59] from Operation: 65-6=59 Current State: 18:[77, 59], Operations: ['93-16=77', '65-6=59'] Exploring Operation: 77-59=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 10, 39, 36, 27 ]
62
[ "39*36=1404", "1404/27=52", "10+52=62" ]
Current State: 62:[10, 39, 36, 27], Operations: [] Exploring Operation: 39*36=1404, Resulting Numbers: [10, 27, 1404] Generated Node #2: [10, 27, 1404] from Operation: 39*36=1404 Current State: 62:[10, 27, 1404], Operations: ['39*36=1404'] Exploring Operation: 1404/27=52, Resulting Numbers: [10, 52] Generated Node #3: [10, 52] from Operation: 1404/27=52 Current State: 62:[10, 52], Operations: ['39*36=1404', '1404/27=52'] Exploring Operation: 10+52=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 11, 26, 46, 38 ]
47
[ "11+26=37", "46+38=84", "84-37=47" ]
Current State: 47:[11, 26, 46, 38], Operations: [] Exploring Operation: 11+26=37, Resulting Numbers: [46, 38, 37] Generated Node #2: [46, 38, 37] from Operation: 11+26=37 Current State: 47:[46, 38, 37], Operations: ['11+26=37'] Exploring Operation: 46+38=84, Resulting Numbers: [37, 84] Generated Node #3: [37, 84] from Operation: 46+38=84 Current State: 47:[37, 84], Operations: ['11+26=37', '46+38=84'] Exploring Operation: 84-37=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 74, 62, 54, 19 ]
23
[ "74-62=12", "54-19=35", "35-12=23" ]
Current State: 23:[74, 62, 54, 19], Operations: [] Exploring Operation: 74-62=12, Resulting Numbers: [54, 19, 12] Generated Node #2: [54, 19, 12] from Operation: 74-62=12 Current State: 23:[54, 19, 12], Operations: ['74-62=12'] Exploring Operation: 54-19=35, Resulting Numbers: [12, 35] Generated Node #3: [12, 35] from Operation: 54-19=35 Current State: 23:[12, 35], Operations: ['74-62=12', '54-19=35'] Exploring Operation: 35-12=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 40, 80, 25, 65 ]
92
[ "80/40=2", "25+65=90", "2+90=92" ]
Current State: 92:[40, 80, 25, 65], Operations: [] Exploring Operation: 80/40=2, Resulting Numbers: [25, 65, 2] Generated Node #2: [25, 65, 2] from Operation: 80/40=2 Current State: 92:[25, 65, 2], Operations: ['80/40=2'] Exploring Operation: 25+65=90, Resulting Numbers: [2, 90] Generated Node #3: [2, 90] from Operation: 25+65=90 Current State: 92:[2, 90], Operations: ['80/40=2', '25+65=90'] Exploring Operation: 2+90=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 31, 26, 2, 39 ]
18
[ "31+39=70", "26*2=52", "70-52=18" ]
Current State: 18:[31, 26, 2, 39], Operations: [] Exploring Operation: 31+39=70, Resulting Numbers: [26, 2, 70] Generated Node #2: [26, 2, 70] from Operation: 31+39=70 Current State: 18:[26, 2, 70], Operations: ['31+39=70'] Exploring Operation: 26*2=52, Resulting Numbers: [70, 52] Generated Node #3: [70, 52] from Operation: 26*2=52 Current State: 18:[70, 52], Operations: ['31+39=70', '26*2=52'] Exploring Operation: 70-52=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 55, 86, 58, 36 ]
98
[ "58-55=3", "36/3=12", "86+12=98" ]
Current State: 98:[55, 86, 58, 36], Operations: [] Exploring Operation: 58-55=3, Resulting Numbers: [86, 36, 3] Generated Node #2: [86, 36, 3] from Operation: 58-55=3 Current State: 98:[86, 36, 3], Operations: ['58-55=3'] Exploring Operation: 36/3=12, Resulting Numbers: [86, 12] Generated Node #3: [86, 12] from Operation: 36/3=12 Current State: 98:[86, 12], Operations: ['58-55=3', '36/3=12'] Exploring Operation: 86+12=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 14, 85, 21, 71 ]
98
[ "21-14=7", "85-71=14", "7*14=98" ]
Current State: 98:[14, 85, 21, 71], Operations: [] Exploring Operation: 21-14=7, Resulting Numbers: [85, 71, 7] Generated Node #2: [85, 71, 7] from Operation: 21-14=7 Current State: 98:[85, 71, 7], Operations: ['21-14=7'] Exploring Operation: 85-71=14, Resulting Numbers: [7, 14] Generated Node #3: [7, 14] from Operation: 85-71=14 Current State: 98:[7, 14], Operations: ['21-14=7', '85-71=14'] Exploring Operation: 7*14=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 27, 62, 6, 3 ]
66
[ "27-3=24", "24/6=4", "62+4=66" ]
Current State: 66:[27, 62, 6, 3], Operations: [] Exploring Operation: 27-3=24, Resulting Numbers: [62, 6, 24] Generated Node #2: [62, 6, 24] from Operation: 27-3=24 Current State: 66:[62, 6, 24], Operations: ['27-3=24'] Exploring Operation: 24/6=4, Resulting Numbers: [62, 4] Generated Node #3: [62, 4] from Operation: 24/6=4 Current State: 66:[62, 4], Operations: ['27-3=24', '24/6=4'] Exploring Operation: 62+4=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 98, 83, 84, 8 ]
91
[ "98-83=15", "84-8=76", "15+76=91" ]
Current State: 91:[98, 83, 84, 8], Operations: [] Exploring Operation: 98-83=15, Resulting Numbers: [84, 8, 15] Generated Node #2: [84, 8, 15] from Operation: 98-83=15 Current State: 91:[84, 8, 15], Operations: ['98-83=15'] Exploring Operation: 84-8=76, Resulting Numbers: [15, 76] Generated Node #3: [15, 76] from Operation: 84-8=76 Current State: 91:[15, 76], Operations: ['98-83=15', '84-8=76'] Exploring Operation: 15+76=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 31, 72, 30, 98 ]
87
[ "72-31=41", "30+98=128", "128-41=87" ]
Current State: 87:[31, 72, 30, 98], Operations: [] Exploring Operation: 72-31=41, Resulting Numbers: [30, 98, 41] Generated Node #2: [30, 98, 41] from Operation: 72-31=41 Current State: 87:[30, 98, 41], Operations: ['72-31=41'] Exploring Operation: 30+98=128, Resulting Numbers: [41, 128] Generated Node #3: [41, 128] from Operation: 30+98=128 Current State: 87:[41, 128], Operations: ['72-31=41', '30+98=128'] Exploring Operation: 128-41=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 83, 92, 39, 87 ]
64
[ "87-83=4", "39*4=156", "156-92=64" ]
Current State: 64:[83, 92, 39, 87], Operations: [] Exploring Operation: 87-83=4, Resulting Numbers: [92, 39, 4] Generated Node #2: [92, 39, 4] from Operation: 87-83=4 Current State: 64:[92, 39, 4], Operations: ['87-83=4'] Exploring Operation: 39*4=156, Resulting Numbers: [92, 156] Generated Node #3: [92, 156] from Operation: 39*4=156 Current State: 64:[92, 156], Operations: ['87-83=4', '39*4=156'] Exploring Operation: 156-92=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 8, 40, 65, 10 ]
33
[ "8*40=320", "320/10=32", "65-32=33" ]
Current State: 33:[8, 40, 65, 10], Operations: [] Exploring Operation: 8*40=320, Resulting Numbers: [65, 10, 320] Generated Node #2: [65, 10, 320] from Operation: 8*40=320 Current State: 33:[65, 10, 320], Operations: ['8*40=320'] Exploring Operation: 320/10=32, Resulting Numbers: [65, 32] Generated Node #3: [65, 32] from Operation: 320/10=32 Current State: 33:[65, 32], Operations: ['8*40=320', '320/10=32'] Exploring Operation: 65-32=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 14, 42, 44, 27 ]
35
[ "42/14=3", "27/3=9", "44-9=35" ]
Current State: 35:[14, 42, 44, 27], Operations: [] Exploring Operation: 42/14=3, Resulting Numbers: [44, 27, 3] Generated Node #2: [44, 27, 3] from Operation: 42/14=3 Current State: 35:[44, 27, 3], Operations: ['42/14=3'] Exploring Operation: 27/3=9, Resulting Numbers: [44, 9] Generated Node #3: [44, 9] from Operation: 27/3=9 Current State: 35:[44, 9], Operations: ['42/14=3', '27/3=9'] Exploring Operation: 44-9=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 31, 22, 76, 76 ]
52
[ "31+22=53", "76/76=1", "53-1=52" ]
Current State: 52:[31, 22, 76, 76], Operations: [] Exploring Operation: 31+22=53, Resulting Numbers: [76, 76, 53] Generated Node #2: [76, 76, 53] from Operation: 31+22=53 Current State: 52:[76, 76, 53], Operations: ['31+22=53'] Exploring Operation: 76/76=1, Resulting Numbers: [53, 1] Generated Node #3: [53, 1] from Operation: 76/76=1 Current State: 52:[53, 1], Operations: ['31+22=53', '76/76=1'] Exploring Operation: 53-1=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 63, 64, 61, 7 ]
42
[ "64-61=3", "7*3=21", "63-21=42" ]
Current State: 42:[63, 64, 61, 7], Operations: [] Exploring Operation: 64-61=3, Resulting Numbers: [63, 7, 3] Generated Node #2: [63, 7, 3] from Operation: 64-61=3 Current State: 42:[63, 7, 3], Operations: ['64-61=3'] Exploring Operation: 7*3=21, Resulting Numbers: [63, 21] Generated Node #3: [63, 21] from Operation: 7*3=21 Current State: 42:[63, 21], Operations: ['64-61=3', '7*3=21'] Exploring Operation: 63-21=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 36, 79, 21, 12 ]
76
[ "79-36=43", "21+12=33", "43+33=76" ]
Current State: 76:[36, 79, 21, 12], Operations: [] Exploring Operation: 79-36=43, Resulting Numbers: [21, 12, 43] Generated Node #2: [21, 12, 43] from Operation: 79-36=43 Current State: 76:[21, 12, 43], Operations: ['79-36=43'] Exploring Operation: 21+12=33, Resulting Numbers: [43, 33] Generated Node #3: [43, 33] from Operation: 21+12=33 Current State: 76:[43, 33], Operations: ['79-36=43', '21+12=33'] Exploring Operation: 43+33=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 76, 43, 16, 64 ]
39
[ "76+43=119", "16+64=80", "119-80=39" ]
Current State: 39:[76, 43, 16, 64], Operations: [] Exploring Operation: 76+43=119, Resulting Numbers: [16, 64, 119] Generated Node #2: [16, 64, 119] from Operation: 76+43=119 Current State: 39:[16, 64, 119], Operations: ['76+43=119'] Exploring Operation: 16+64=80, Resulting Numbers: [119, 80] Generated Node #3: [119, 80] from Operation: 16+64=80 Current State: 39:[119, 80], Operations: ['76+43=119', '16+64=80'] Exploring Operation: 119-80=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 6, 51, 8, 52 ]
14
[ "6+8=14", "52-51=1", "14*1=14" ]
Current State: 14:[6, 51, 8, 52], Operations: [] Exploring Operation: 6+8=14, Resulting Numbers: [51, 52, 14] Generated Node #2: [51, 52, 14] from Operation: 6+8=14 Current State: 14:[51, 52, 14], Operations: ['6+8=14'] Exploring Operation: 52-51=1, Resulting Numbers: [14, 1] Generated Node #3: [14, 1] from Operation: 52-51=1 Current State: 14:[14, 1], Operations: ['6+8=14', '52-51=1'] Exploring Operation: 14*1=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 39, 58, 9, 40 ]
49
[ "40-39=1", "58-9=49", "1*49=49" ]
Current State: 49:[39, 58, 9, 40], Operations: [] Exploring Operation: 40-39=1, Resulting Numbers: [58, 9, 1] Generated Node #2: [58, 9, 1] from Operation: 40-39=1 Current State: 49:[58, 9, 1], Operations: ['40-39=1'] Exploring Operation: 58-9=49, Resulting Numbers: [1, 49] Generated Node #3: [1, 49] from Operation: 58-9=49 Current State: 49:[1, 49], Operations: ['40-39=1', '58-9=49'] Exploring Operation: 1*49=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 47, 90, 86, 25 ]
23
[ "90-47=43", "86/43=2", "25-2=23" ]
Current State: 23:[47, 90, 86, 25], Operations: [] Exploring Operation: 90-47=43, Resulting Numbers: [86, 25, 43] Generated Node #2: [86, 25, 43] from Operation: 90-47=43 Current State: 23:[86, 25, 43], Operations: ['90-47=43'] Exploring Operation: 86/43=2, Resulting Numbers: [25, 2] Generated Node #3: [25, 2] from Operation: 86/43=2 Current State: 23:[25, 2], Operations: ['90-47=43', '86/43=2'] Exploring Operation: 25-2=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 95, 81, 8, 67 ]
89
[ "95+81=176", "176/8=22", "67+22=89" ]
Current State: 89:[95, 81, 8, 67], Operations: [] Exploring Operation: 95+81=176, Resulting Numbers: [8, 67, 176] Generated Node #2: [8, 67, 176] from Operation: 95+81=176 Current State: 89:[8, 67, 176], Operations: ['95+81=176'] Exploring Operation: 176/8=22, Resulting Numbers: [67, 22] Generated Node #3: [67, 22] from Operation: 176/8=22 Current State: 89:[67, 22], Operations: ['95+81=176', '176/8=22'] Exploring Operation: 67+22=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 2, 42, 74, 48 ]
47
[ "42/2=21", "74-48=26", "21+26=47" ]
Current State: 47:[2, 42, 74, 48], Operations: [] Exploring Operation: 42/2=21, Resulting Numbers: [74, 48, 21] Generated Node #2: [74, 48, 21] from Operation: 42/2=21 Current State: 47:[74, 48, 21], Operations: ['42/2=21'] Exploring Operation: 74-48=26, Resulting Numbers: [21, 26] Generated Node #3: [21, 26] from Operation: 74-48=26 Current State: 47:[21, 26], Operations: ['42/2=21', '74-48=26'] Exploring Operation: 21+26=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 12, 19, 15, 8 ]
80
[ "12+8=20", "19-15=4", "20*4=80" ]
Current State: 80:[12, 19, 15, 8], Operations: [] Exploring Operation: 12+8=20, Resulting Numbers: [19, 15, 20] Generated Node #2: [19, 15, 20] from Operation: 12+8=20 Current State: 80:[19, 15, 20], Operations: ['12+8=20'] Exploring Operation: 19-15=4, Resulting Numbers: [20, 4] Generated Node #3: [20, 4] from Operation: 19-15=4 Current State: 80:[20, 4], Operations: ['12+8=20', '19-15=4'] Exploring Operation: 20*4=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 49, 5, 2, 89 ]
75
[ "89-49=40", "2*40=80", "80-5=75" ]
Current State: 75:[49, 5, 2, 89], Operations: [] Exploring Operation: 89-49=40, Resulting Numbers: [5, 2, 40] Generated Node #2: [5, 2, 40] from Operation: 89-49=40 Current State: 75:[5, 2, 40], Operations: ['89-49=40'] Exploring Operation: 2*40=80, Resulting Numbers: [5, 80] Generated Node #3: [5, 80] from Operation: 2*40=80 Current State: 75:[5, 80], Operations: ['89-49=40', '2*40=80'] Exploring Operation: 80-5=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 75, 15, 30, 37 ]
35
[ "75-15=60", "60/30=2", "37-2=35" ]
Current State: 35:[75, 15, 30, 37], Operations: [] Exploring Operation: 75-15=60, Resulting Numbers: [30, 37, 60] Generated Node #2: [30, 37, 60] from Operation: 75-15=60 Current State: 35:[30, 37, 60], Operations: ['75-15=60'] Exploring Operation: 60/30=2, Resulting Numbers: [37, 2] Generated Node #3: [37, 2] from Operation: 60/30=2 Current State: 35:[37, 2], Operations: ['75-15=60', '60/30=2'] Exploring Operation: 37-2=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 81, 21, 90, 17 ]
13
[ "81-21=60", "90-17=73", "73-60=13" ]
Current State: 13:[81, 21, 90, 17], Operations: [] Exploring Operation: 81-21=60, Resulting Numbers: [90, 17, 60] Generated Node #2: [90, 17, 60] from Operation: 81-21=60 Current State: 13:[90, 17, 60], Operations: ['81-21=60'] Exploring Operation: 90-17=73, Resulting Numbers: [60, 73] Generated Node #3: [60, 73] from Operation: 90-17=73 Current State: 13:[60, 73], Operations: ['81-21=60', '90-17=73'] Exploring Operation: 73-60=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 91, 50, 5, 16 ]
62
[ "91-50=41", "5+16=21", "41+21=62" ]
Current State: 62:[91, 50, 5, 16], Operations: [] Exploring Operation: 91-50=41, Resulting Numbers: [5, 16, 41] Generated Node #2: [5, 16, 41] from Operation: 91-50=41 Current State: 62:[5, 16, 41], Operations: ['91-50=41'] Exploring Operation: 5+16=21, Resulting Numbers: [41, 21] Generated Node #3: [41, 21] from Operation: 5+16=21 Current State: 62:[41, 21], Operations: ['91-50=41', '5+16=21'] Exploring Operation: 41+21=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 98, 49, 48, 96 ]
98
[ "98-49=49", "96/48=2", "49*2=98" ]
Current State: 98:[98, 49, 48, 96], Operations: [] Exploring Operation: 98-49=49, Resulting Numbers: [48, 96, 49] Generated Node #2: [48, 96, 49] from Operation: 98-49=49 Current State: 98:[48, 96, 49], Operations: ['98-49=49'] Exploring Operation: 96/48=2, Resulting Numbers: [49, 2] Generated Node #3: [49, 2] from Operation: 96/48=2 Current State: 98:[49, 2], Operations: ['98-49=49', '96/48=2'] Exploring Operation: 49*2=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 5, 85, 88, 61 ]
76
[ "88-85=3", "5*3=15", "61+15=76" ]
Current State: 76:[5, 85, 88, 61], Operations: [] Exploring Operation: 88-85=3, Resulting Numbers: [5, 61, 3] Generated Node #2: [5, 61, 3] from Operation: 88-85=3 Current State: 76:[5, 61, 3], Operations: ['88-85=3'] Exploring Operation: 5*3=15, Resulting Numbers: [61, 15] Generated Node #3: [61, 15] from Operation: 5*3=15 Current State: 76:[61, 15], Operations: ['88-85=3', '5*3=15'] Exploring Operation: 61+15=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 65, 57, 61, 45 ]
90
[ "65+57=122", "122/61=2", "45*2=90" ]
Current State: 90:[65, 57, 61, 45], Operations: [] Exploring Operation: 65+57=122, Resulting Numbers: [61, 45, 122] Generated Node #2: [61, 45, 122] from Operation: 65+57=122 Current State: 90:[61, 45, 122], Operations: ['65+57=122'] Exploring Operation: 122/61=2, Resulting Numbers: [45, 2] Generated Node #3: [45, 2] from Operation: 122/61=2 Current State: 90:[45, 2], Operations: ['65+57=122', '122/61=2'] Exploring Operation: 45*2=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 5, 33, 11, 22 ]
19
[ "5+33=38", "22/11=2", "38/2=19" ]
Current State: 19:[5, 33, 11, 22], Operations: [] Exploring Operation: 5+33=38, Resulting Numbers: [11, 22, 38] Generated Node #2: [11, 22, 38] from Operation: 5+33=38 Current State: 19:[11, 22, 38], Operations: ['5+33=38'] Exploring Operation: 22/11=2, Resulting Numbers: [38, 2] Generated Node #3: [38, 2] from Operation: 22/11=2 Current State: 19:[38, 2], Operations: ['5+33=38', '22/11=2'] Exploring Operation: 38/2=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 31, 77, 32, 30 ]
79
[ "32+30=62", "62/31=2", "77+2=79" ]
Current State: 79:[31, 77, 32, 30], Operations: [] Exploring Operation: 32+30=62, Resulting Numbers: [31, 77, 62] Generated Node #2: [31, 77, 62] from Operation: 32+30=62 Current State: 79:[31, 77, 62], Operations: ['32+30=62'] Exploring Operation: 62/31=2, Resulting Numbers: [77, 2] Generated Node #3: [77, 2] from Operation: 62/31=2 Current State: 79:[77, 2], Operations: ['32+30=62', '62/31=2'] Exploring Operation: 77+2=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 45, 21, 24, 83 ]
97
[ "24*83=1992", "45+1992=2037", "2037/21=97" ]
Current State: 97:[45, 21, 24, 83], Operations: [] Exploring Operation: 24*83=1992, Resulting Numbers: [45, 21, 1992] Generated Node #2: [45, 21, 1992] from Operation: 24*83=1992 Current State: 97:[45, 21, 1992], Operations: ['24*83=1992'] Exploring Operation: 45+1992=2037, Resulting Numbers: [21, 2037] Generated Node #3: [21, 2037] from Operation: 45+1992=2037 Current State: 97:[21, 2037], Operations: ['24*83=1992', '45+1992=2037'] Exploring Operation: 2037/21=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 38, 54, 35, 25 ]
82
[ "38+54=92", "35-25=10", "92-10=82" ]
Current State: 82:[38, 54, 35, 25], Operations: [] Exploring Operation: 38+54=92, Resulting Numbers: [35, 25, 92] Generated Node #2: [35, 25, 92] from Operation: 38+54=92 Current State: 82:[35, 25, 92], Operations: ['38+54=92'] Exploring Operation: 35-25=10, Resulting Numbers: [92, 10] Generated Node #3: [92, 10] from Operation: 35-25=10 Current State: 82:[92, 10], Operations: ['38+54=92', '35-25=10'] Exploring Operation: 92-10=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 52, 77, 24, 12 ]
11
[ "77-52=25", "24+12=36", "36-25=11" ]
Current State: 11:[52, 77, 24, 12], Operations: [] Exploring Operation: 77-52=25, Resulting Numbers: [24, 12, 25] Generated Node #2: [24, 12, 25] from Operation: 77-52=25 Current State: 11:[24, 12, 25], Operations: ['77-52=25'] Exploring Operation: 24+12=36, Resulting Numbers: [25, 36] Generated Node #3: [25, 36] from Operation: 24+12=36 Current State: 11:[25, 36], Operations: ['77-52=25', '24+12=36'] Exploring Operation: 36-25=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 65, 81, 64, 43 ]
91
[ "81-65=16", "64+43=107", "107-16=91" ]
Current State: 91:[65, 81, 64, 43], Operations: [] Exploring Operation: 81-65=16, Resulting Numbers: [64, 43, 16] Generated Node #2: [64, 43, 16] from Operation: 81-65=16 Current State: 91:[64, 43, 16], Operations: ['81-65=16'] Exploring Operation: 64+43=107, Resulting Numbers: [16, 107] Generated Node #3: [16, 107] from Operation: 64+43=107 Current State: 91:[16, 107], Operations: ['81-65=16', '64+43=107'] Exploring Operation: 107-16=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 13, 79, 12, 14 ]
33
[ "79-13=66", "14-12=2", "66/2=33" ]
Current State: 33:[13, 79, 12, 14], Operations: [] Exploring Operation: 79-13=66, Resulting Numbers: [12, 14, 66] Generated Node #2: [12, 14, 66] from Operation: 79-13=66 Current State: 33:[12, 14, 66], Operations: ['79-13=66'] Exploring Operation: 14-12=2, Resulting Numbers: [66, 2] Generated Node #3: [66, 2] from Operation: 14-12=2 Current State: 33:[66, 2], Operations: ['79-13=66', '14-12=2'] Exploring Operation: 66/2=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 93, 64, 32, 8 ]
81
[ "64+32=96", "96/8=12", "93-12=81" ]
Current State: 81:[93, 64, 32, 8], Operations: [] Exploring Operation: 64+32=96, Resulting Numbers: [93, 8, 96] Generated Node #2: [93, 8, 96] from Operation: 64+32=96 Current State: 81:[93, 8, 96], Operations: ['64+32=96'] Exploring Operation: 96/8=12, Resulting Numbers: [93, 12] Generated Node #3: [93, 12] from Operation: 96/8=12 Current State: 81:[93, 12], Operations: ['64+32=96', '96/8=12'] Exploring Operation: 93-12=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 3, 57, 58, 65 ]
80
[ "3*65=195", "57+58=115", "195-115=80" ]
Current State: 80:[3, 57, 58, 65], Operations: [] Exploring Operation: 3*65=195, Resulting Numbers: [57, 58, 195] Generated Node #2: [57, 58, 195] from Operation: 3*65=195 Current State: 80:[57, 58, 195], Operations: ['3*65=195'] Exploring Operation: 57+58=115, Resulting Numbers: [195, 115] Generated Node #3: [195, 115] from Operation: 57+58=115 Current State: 80:[195, 115], Operations: ['3*65=195', '57+58=115'] Exploring Operation: 195-115=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 65, 53, 24, 65 ]
53
[ "65-53=12", "65-24=41", "12+41=53" ]
Current State: 53:[65, 53, 24, 65], Operations: [] Exploring Operation: 65-53=12, Resulting Numbers: [24, 12] Generated Node #2: [24, 12] from Operation: 65-53=12 Current State: 53:[24, 12], Operations: ['65-53=12'] Exploring Operation: 65-24=41, Resulting Numbers: [12, 41] Generated Node #3: [12, 41] from Operation: 65-24=41 Current State: 53:[12, 41], Operations: ['65-53=12', '65-24=41'] Exploring Operation: 12+41=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 47, 69, 61, 21 ]
61
[ "69-47=22", "22-21=1", "61*1=61" ]
Current State: 61:[47, 69, 61, 21], Operations: [] Exploring Operation: 69-47=22, Resulting Numbers: [61, 21, 22] Generated Node #2: [61, 21, 22] from Operation: 69-47=22 Current State: 61:[61, 21, 22], Operations: ['69-47=22'] Exploring Operation: 22-21=1, Resulting Numbers: [61, 1] Generated Node #3: [61, 1] from Operation: 22-21=1 Current State: 61:[61, 1], Operations: ['69-47=22', '22-21=1'] Exploring Operation: 61*1=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 19, 35, 90, 49 ]
57
[ "35-19=16", "90-49=41", "16+41=57" ]
Current State: 57:[19, 35, 90, 49], Operations: [] Exploring Operation: 35-19=16, Resulting Numbers: [90, 49, 16] Generated Node #2: [90, 49, 16] from Operation: 35-19=16 Current State: 57:[90, 49, 16], Operations: ['35-19=16'] Exploring Operation: 90-49=41, Resulting Numbers: [16, 41] Generated Node #3: [16, 41] from Operation: 90-49=41 Current State: 57:[16, 41], Operations: ['35-19=16', '90-49=41'] Exploring Operation: 16+41=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 58, 60, 66, 29 ]
54
[ "58*60=3480", "3480/29=120", "120-66=54" ]
Current State: 54:[58, 60, 66, 29], Operations: [] Exploring Operation: 58*60=3480, Resulting Numbers: [66, 29, 3480] Generated Node #2: [66, 29, 3480] from Operation: 58*60=3480 Current State: 54:[66, 29, 3480], Operations: ['58*60=3480'] Exploring Operation: 3480/29=120, Resulting Numbers: [66, 120] Generated Node #3: [66, 120] from Operation: 3480/29=120 Current State: 54:[66, 120], Operations: ['58*60=3480', '3480/29=120'] Exploring Operation: 120-66=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 3, 90, 6, 40 ]
25
[ "6/3=2", "90-40=50", "50/2=25" ]
Current State: 25:[3, 90, 6, 40], Operations: [] Exploring Operation: 6/3=2, Resulting Numbers: [90, 40, 2] Generated Node #2: [90, 40, 2] from Operation: 6/3=2 Current State: 25:[90, 40, 2], Operations: ['6/3=2'] Exploring Operation: 90-40=50, Resulting Numbers: [2, 50] Generated Node #3: [2, 50] from Operation: 90-40=50 Current State: 25:[2, 50], Operations: ['6/3=2', '90-40=50'] Exploring Operation: 50/2=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 2, 99, 3, 77 ]
22
[ "3-2=1", "99-77=22", "1*22=22" ]
Current State: 22:[2, 99, 3, 77], Operations: [] Exploring Operation: 3-2=1, Resulting Numbers: [99, 77, 1] Generated Node #2: [99, 77, 1] from Operation: 3-2=1 Current State: 22:[99, 77, 1], Operations: ['3-2=1'] Exploring Operation: 99-77=22, Resulting Numbers: [1, 22] Generated Node #3: [1, 22] from Operation: 99-77=22 Current State: 22:[1, 22], Operations: ['3-2=1', '99-77=22'] Exploring Operation: 1*22=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 26, 12, 41, 3 ]
82
[ "26+12=38", "41+3=44", "38+44=82" ]
Current State: 82:[26, 12, 41, 3], Operations: [] Exploring Operation: 26+12=38, Resulting Numbers: [41, 3, 38] Generated Node #2: [41, 3, 38] from Operation: 26+12=38 Current State: 82:[41, 3, 38], Operations: ['26+12=38'] Exploring Operation: 41+3=44, Resulting Numbers: [38, 44] Generated Node #3: [38, 44] from Operation: 41+3=44 Current State: 82:[38, 44], Operations: ['26+12=38', '41+3=44'] Exploring Operation: 38+44=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 65, 77, 34, 88 ]
88
[ "65+77=142", "88-34=54", "142-54=88" ]
Current State: 88:[65, 77, 34, 88], Operations: [] Exploring Operation: 65+77=142, Resulting Numbers: [34, 88, 142] Generated Node #2: [34, 88, 142] from Operation: 65+77=142 Current State: 88:[34, 88, 142], Operations: ['65+77=142'] Exploring Operation: 88-34=54, Resulting Numbers: [142, 54] Generated Node #3: [142, 54] from Operation: 88-34=54 Current State: 88:[142, 54], Operations: ['65+77=142', '88-34=54'] Exploring Operation: 142-54=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 47, 80, 4, 33 ]
40
[ "47+80=127", "33+127=160", "160/4=40" ]
Current State: 40:[47, 80, 4, 33], Operations: [] Exploring Operation: 47+80=127, Resulting Numbers: [4, 33, 127] Generated Node #2: [4, 33, 127] from Operation: 47+80=127 Current State: 40:[4, 33, 127], Operations: ['47+80=127'] Exploring Operation: 33+127=160, Resulting Numbers: [4, 160] Generated Node #3: [4, 160] from Operation: 33+127=160 Current State: 40:[4, 160], Operations: ['47+80=127', '33+127=160'] Exploring Operation: 160/4=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 1, 85, 50, 1 ]
37
[ "1+85=86", "50-1=49", "86-49=37" ]
Current State: 37:[1, 85, 50, 1], Operations: [] Exploring Operation: 1+85=86, Resulting Numbers: [50, 86] Generated Node #2: [50, 86] from Operation: 1+85=86 Current State: 37:[50, 86], Operations: ['1+85=86'] Exploring Operation: 50-1=49, Resulting Numbers: [86, 49] Generated Node #3: [86, 49] from Operation: 50-1=49 Current State: 37:[86, 49], Operations: ['1+85=86', '50-1=49'] Exploring Operation: 86-49=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 72, 32, 18, 49 ]
73
[ "72+32=104", "49-18=31", "104-31=73" ]
Current State: 73:[72, 32, 18, 49], Operations: [] Exploring Operation: 72+32=104, Resulting Numbers: [18, 49, 104] Generated Node #2: [18, 49, 104] from Operation: 72+32=104 Current State: 73:[18, 49, 104], Operations: ['72+32=104'] Exploring Operation: 49-18=31, Resulting Numbers: [104, 31] Generated Node #3: [104, 31] from Operation: 49-18=31 Current State: 73:[104, 31], Operations: ['72+32=104', '49-18=31'] Exploring Operation: 104-31=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 12, 66, 56, 21 ]
42
[ "66-12=54", "56-54=2", "21*2=42" ]
Current State: 42:[12, 66, 56, 21], Operations: [] Exploring Operation: 66-12=54, Resulting Numbers: [56, 21, 54] Generated Node #2: [56, 21, 54] from Operation: 66-12=54 Current State: 42:[56, 21, 54], Operations: ['66-12=54'] Exploring Operation: 56-54=2, Resulting Numbers: [21, 2] Generated Node #3: [21, 2] from Operation: 56-54=2 Current State: 42:[21, 2], Operations: ['66-12=54', '56-54=2'] Exploring Operation: 21*2=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 77, 8, 81, 65 ]
33
[ "81-77=4", "8*4=32", "65-32=33" ]
Current State: 33:[77, 8, 81, 65], Operations: [] Exploring Operation: 81-77=4, Resulting Numbers: [8, 65, 4] Generated Node #2: [8, 65, 4] from Operation: 81-77=4 Current State: 33:[8, 65, 4], Operations: ['81-77=4'] Exploring Operation: 8*4=32, Resulting Numbers: [65, 32] Generated Node #3: [65, 32] from Operation: 8*4=32 Current State: 33:[65, 32], Operations: ['81-77=4', '8*4=32'] Exploring Operation: 65-32=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 48, 88, 92, 4 ]
99
[ "92-48=44", "44/4=11", "88+11=99" ]
Current State: 99:[48, 88, 92, 4], Operations: [] Exploring Operation: 92-48=44, Resulting Numbers: [88, 4, 44] Generated Node #2: [88, 4, 44] from Operation: 92-48=44 Current State: 99:[88, 4, 44], Operations: ['92-48=44'] Exploring Operation: 44/4=11, Resulting Numbers: [88, 11] Generated Node #3: [88, 11] from Operation: 44/4=11 Current State: 99:[88, 11], Operations: ['92-48=44', '44/4=11'] Exploring Operation: 88+11=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 14, 5, 63, 34 ]
28
[ "5+63=68", "14*68=952", "952/34=28" ]
Current State: 28:[14, 5, 63, 34], Operations: [] Exploring Operation: 5+63=68, Resulting Numbers: [14, 34, 68] Generated Node #2: [14, 34, 68] from Operation: 5+63=68 Current State: 28:[14, 34, 68], Operations: ['5+63=68'] Exploring Operation: 14*68=952, Resulting Numbers: [34, 952] Generated Node #3: [34, 952] from Operation: 14*68=952 Current State: 28:[34, 952], Operations: ['5+63=68', '14*68=952'] Exploring Operation: 952/34=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 75, 77, 47, 50 ]
55
[ "75+77=152", "47+50=97", "152-97=55" ]
Current State: 55:[75, 77, 47, 50], Operations: [] Exploring Operation: 75+77=152, Resulting Numbers: [47, 50, 152] Generated Node #2: [47, 50, 152] from Operation: 75+77=152 Current State: 55:[47, 50, 152], Operations: ['75+77=152'] Exploring Operation: 47+50=97, Resulting Numbers: [152, 97] Generated Node #3: [152, 97] from Operation: 47+50=97 Current State: 55:[152, 97], Operations: ['75+77=152', '47+50=97'] Exploring Operation: 152-97=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 83, 84, 97, 76 ]
20
[ "84-83=1", "97-76=21", "21-1=20" ]
Current State: 20:[83, 84, 97, 76], Operations: [] Exploring Operation: 84-83=1, Resulting Numbers: [97, 76, 1] Generated Node #2: [97, 76, 1] from Operation: 84-83=1 Current State: 20:[97, 76, 1], Operations: ['84-83=1'] Exploring Operation: 97-76=21, Resulting Numbers: [1, 21] Generated Node #3: [1, 21] from Operation: 97-76=21 Current State: 20:[1, 21], Operations: ['84-83=1', '97-76=21'] Exploring Operation: 21-1=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 70, 54, 3, 73 ]
83
[ "70*3=210", "54+73=127", "210-127=83" ]
Current State: 83:[70, 54, 3, 73], Operations: [] Exploring Operation: 70*3=210, Resulting Numbers: [54, 73, 210] Generated Node #2: [54, 73, 210] from Operation: 70*3=210 Current State: 83:[54, 73, 210], Operations: ['70*3=210'] Exploring Operation: 54+73=127, Resulting Numbers: [210, 127] Generated Node #3: [210, 127] from Operation: 54+73=127 Current State: 83:[210, 127], Operations: ['70*3=210', '54+73=127'] Exploring Operation: 210-127=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 3, 41, 2, 12 ]
44
[ "41-3=38", "12/2=6", "38+6=44" ]
Current State: 44:[3, 41, 2, 12], Operations: [] Exploring Operation: 41-3=38, Resulting Numbers: [2, 12, 38] Generated Node #2: [2, 12, 38] from Operation: 41-3=38 Current State: 44:[2, 12, 38], Operations: ['41-3=38'] Exploring Operation: 12/2=6, Resulting Numbers: [38, 6] Generated Node #3: [38, 6] from Operation: 12/2=6 Current State: 44:[38, 6], Operations: ['41-3=38', '12/2=6'] Exploring Operation: 38+6=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 29, 27, 76, 38 ]
58
[ "29+27=56", "76+38=114", "114-56=58" ]
Current State: 58:[29, 27, 76, 38], Operations: [] Exploring Operation: 29+27=56, Resulting Numbers: [76, 38, 56] Generated Node #2: [76, 38, 56] from Operation: 29+27=56 Current State: 58:[76, 38, 56], Operations: ['29+27=56'] Exploring Operation: 76+38=114, Resulting Numbers: [56, 114] Generated Node #3: [56, 114] from Operation: 76+38=114 Current State: 58:[56, 114], Operations: ['29+27=56', '76+38=114'] Exploring Operation: 114-56=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 29, 45, 33, 85 ]
68
[ "45-29=16", "85-33=52", "16+52=68" ]
Current State: 68:[29, 45, 33, 85], Operations: [] Exploring Operation: 45-29=16, Resulting Numbers: [33, 85, 16] Generated Node #2: [33, 85, 16] from Operation: 45-29=16 Current State: 68:[33, 85, 16], Operations: ['45-29=16'] Exploring Operation: 85-33=52, Resulting Numbers: [16, 52] Generated Node #3: [16, 52] from Operation: 85-33=52 Current State: 68:[16, 52], Operations: ['45-29=16', '85-33=52'] Exploring Operation: 16+52=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 71, 16, 14, 29 ]
44
[ "71+16=87", "14+29=43", "87-43=44" ]
Current State: 44:[71, 16, 14, 29], Operations: [] Exploring Operation: 71+16=87, Resulting Numbers: [14, 29, 87] Generated Node #2: [14, 29, 87] from Operation: 71+16=87 Current State: 44:[14, 29, 87], Operations: ['71+16=87'] Exploring Operation: 14+29=43, Resulting Numbers: [87, 43] Generated Node #3: [87, 43] from Operation: 14+29=43 Current State: 44:[87, 43], Operations: ['71+16=87', '14+29=43'] Exploring Operation: 87-43=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 6, 85, 19, 1 ]
12
[ "85-19=66", "66/6=11", "1+11=12" ]
Current State: 12:[6, 85, 19, 1], Operations: [] Exploring Operation: 85-19=66, Resulting Numbers: [6, 1, 66] Generated Node #2: [6, 1, 66] from Operation: 85-19=66 Current State: 12:[6, 1, 66], Operations: ['85-19=66'] Exploring Operation: 66/6=11, Resulting Numbers: [1, 11] Generated Node #3: [1, 11] from Operation: 66/6=11 Current State: 12:[1, 11], Operations: ['85-19=66', '66/6=11'] Exploring Operation: 1+11=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 13, 56, 42, 89 ]
62
[ "13+56=69", "42+89=131", "131-69=62" ]
Current State: 62:[13, 56, 42, 89], Operations: [] Exploring Operation: 13+56=69, Resulting Numbers: [42, 89, 69] Generated Node #2: [42, 89, 69] from Operation: 13+56=69 Current State: 62:[42, 89, 69], Operations: ['13+56=69'] Exploring Operation: 42+89=131, Resulting Numbers: [69, 131] Generated Node #3: [69, 131] from Operation: 42+89=131 Current State: 62:[69, 131], Operations: ['13+56=69', '42+89=131'] Exploring Operation: 131-69=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 77, 69, 25, 75 ]
47
[ "77-75=2", "69+25=94", "94/2=47" ]
Current State: 47:[77, 69, 25, 75], Operations: [] Exploring Operation: 77-75=2, Resulting Numbers: [69, 25, 2] Generated Node #2: [69, 25, 2] from Operation: 77-75=2 Current State: 47:[69, 25, 2], Operations: ['77-75=2'] Exploring Operation: 69+25=94, Resulting Numbers: [2, 94] Generated Node #3: [2, 94] from Operation: 69+25=94 Current State: 47:[2, 94], Operations: ['77-75=2', '69+25=94'] Exploring Operation: 94/2=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4