Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 4, 86, 94, 64 ]
52
[ "86-4=82", "94-64=30", "82-30=52" ]
Current State: 52:[4, 86, 94, 64], Operations: [] Exploring Operation: 86-4=82, Resulting Numbers: [94, 64, 82] Generated Node #2: [94, 64, 82] from Operation: 86-4=82 Current State: 52:[94, 64, 82], Operations: ['86-4=82'] Exploring Operation: 94-64=30, Resulting Numbers: [82, 30] Generated Node #3: [82, 30] from Operation: 94-64=30 Current State: 52:[82, 30], Operations: ['86-4=82', '94-64=30'] Exploring Operation: 82-30=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 10, 35, 23, 29 ]
92
[ "35-10=25", "29-25=4", "23*4=92" ]
Current State: 92:[10, 35, 23, 29], Operations: [] Exploring Operation: 35-10=25, Resulting Numbers: [23, 29, 25] Generated Node #2: [23, 29, 25] from Operation: 35-10=25 Current State: 92:[23, 29, 25], Operations: ['35-10=25'] Exploring Operation: 29-25=4, Resulting Numbers: [23, 4] Generated Node #3: [23, 4] from Operation: 29-25=4 Current State: 92:[23, 4], Operations: ['35-10=25', '29-25=4'] Exploring Operation: 23*4=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 3, 63, 57, 7 ]
71
[ "63/3=21", "57-7=50", "21+50=71" ]
Current State: 71:[3, 63, 57, 7], Operations: [] Exploring Operation: 63/3=21, Resulting Numbers: [57, 7, 21] Generated Node #2: [57, 7, 21] from Operation: 63/3=21 Current State: 71:[57, 7, 21], Operations: ['63/3=21'] Exploring Operation: 57-7=50, Resulting Numbers: [21, 50] Generated Node #3: [21, 50] from Operation: 57-7=50 Current State: 71:[21, 50], Operations: ['63/3=21', '57-7=50'] Exploring Operation: 21+50=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 43, 12, 42, 3 ]
81
[ "43+42=85", "12/3=4", "85-4=81" ]
Current State: 81:[43, 12, 42, 3], Operations: [] Exploring Operation: 43+42=85, Resulting Numbers: [12, 3, 85] Generated Node #2: [12, 3, 85] from Operation: 43+42=85 Current State: 81:[12, 3, 85], Operations: ['43+42=85'] Exploring Operation: 12/3=4, Resulting Numbers: [85, 4] Generated Node #3: [85, 4] from Operation: 12/3=4 Current State: 81:[85, 4], Operations: ['43+42=85', '12/3=4'] Exploring Operation: 85-4=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 71, 31, 48, 54 ]
46
[ "71-31=40", "54-48=6", "40+6=46" ]
Current State: 46:[71, 31, 48, 54], Operations: [] Exploring Operation: 71-31=40, Resulting Numbers: [48, 54, 40] Generated Node #2: [48, 54, 40] from Operation: 71-31=40 Current State: 46:[48, 54, 40], Operations: ['71-31=40'] Exploring Operation: 54-48=6, Resulting Numbers: [40, 6] Generated Node #3: [40, 6] from Operation: 54-48=6 Current State: 46:[40, 6], Operations: ['71-31=40', '54-48=6'] Exploring Operation: 40+6=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 55, 65, 60, 11 ]
11
[ "65*11=715", "715-55=660", "660/60=11" ]
Current State: 11:[55, 65, 60, 11], Operations: [] Exploring Operation: 65*11=715, Resulting Numbers: [55, 60, 715] Generated Node #2: [55, 60, 715] from Operation: 65*11=715 Current State: 11:[55, 60, 715], Operations: ['65*11=715'] Exploring Operation: 715-55=660, Resulting Numbers: [60, 660] Generated Node #3: [60, 660] from Operation: 715-55=660 Current State: 11:[60, 660], Operations: ['65*11=715', '715-55=660'] Exploring Operation: 660/60=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 79, 94, 93, 96 ]
86
[ "79+93=172", "96-94=2", "172/2=86" ]
Current State: 86:[79, 94, 93, 96], Operations: [] Exploring Operation: 79+93=172, Resulting Numbers: [94, 96, 172] Generated Node #2: [94, 96, 172] from Operation: 79+93=172 Current State: 86:[94, 96, 172], Operations: ['79+93=172'] Exploring Operation: 96-94=2, Resulting Numbers: [172, 2] Generated Node #3: [172, 2] from Operation: 96-94=2 Current State: 86:[172, 2], Operations: ['79+93=172', '96-94=2'] Exploring Operation: 172/2=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 43, 96, 70, 24 ]
31
[ "70-43=27", "96/24=4", "27+4=31" ]
Current State: 31:[43, 96, 70, 24], Operations: [] Exploring Operation: 70-43=27, Resulting Numbers: [96, 24, 27] Generated Node #2: [96, 24, 27] from Operation: 70-43=27 Current State: 31:[96, 24, 27], Operations: ['70-43=27'] Exploring Operation: 96/24=4, Resulting Numbers: [27, 4] Generated Node #3: [27, 4] from Operation: 96/24=4 Current State: 31:[27, 4], Operations: ['70-43=27', '96/24=4'] Exploring Operation: 27+4=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 90, 34, 90, 2 ]
36
[ "90+34=124", "90-2=88", "124-88=36" ]
Current State: 36:[90, 34, 90, 2], Operations: [] Exploring Operation: 90+34=124, Resulting Numbers: [2, 124] Generated Node #2: [2, 124] from Operation: 90+34=124 Current State: 36:[2, 124], Operations: ['90+34=124'] Exploring Operation: 90-2=88, Resulting Numbers: [124, 88] Generated Node #3: [124, 88] from Operation: 90-2=88 Current State: 36:[124, 88], Operations: ['90+34=124', '90-2=88'] Exploring Operation: 124-88=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 6, 14, 3, 32 ]
23
[ "6/3=2", "14+32=46", "46/2=23" ]
Current State: 23:[6, 14, 3, 32], Operations: [] Exploring Operation: 6/3=2, Resulting Numbers: [14, 32, 2] Generated Node #2: [14, 32, 2] from Operation: 6/3=2 Current State: 23:[14, 32, 2], Operations: ['6/3=2'] Exploring Operation: 14+32=46, Resulting Numbers: [2, 46] Generated Node #3: [2, 46] from Operation: 14+32=46 Current State: 23:[2, 46], Operations: ['6/3=2', '14+32=46'] Exploring Operation: 46/2=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 66, 3, 74, 6 ]
50
[ "66+6=72", "72/3=24", "74-24=50" ]
Current State: 50:[66, 3, 74, 6], Operations: [] Exploring Operation: 66+6=72, Resulting Numbers: [3, 74, 72] Generated Node #2: [3, 74, 72] from Operation: 66+6=72 Current State: 50:[3, 74, 72], Operations: ['66+6=72'] Exploring Operation: 72/3=24, Resulting Numbers: [74, 24] Generated Node #3: [74, 24] from Operation: 72/3=24 Current State: 50:[74, 24], Operations: ['66+6=72', '72/3=24'] Exploring Operation: 74-24=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 59, 12, 79, 82 ]
55
[ "82-79=3", "12/3=4", "59-4=55" ]
Current State: 55:[59, 12, 79, 82], Operations: [] Exploring Operation: 82-79=3, Resulting Numbers: [59, 12, 3] Generated Node #2: [59, 12, 3] from Operation: 82-79=3 Current State: 55:[59, 12, 3], Operations: ['82-79=3'] Exploring Operation: 12/3=4, Resulting Numbers: [59, 4] Generated Node #3: [59, 4] from Operation: 12/3=4 Current State: 55:[59, 4], Operations: ['82-79=3', '12/3=4'] Exploring Operation: 59-4=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 40, 97, 38, 63 ]
80
[ "40-38=2", "97+63=160", "160/2=80" ]
Current State: 80:[40, 97, 38, 63], Operations: [] Exploring Operation: 40-38=2, Resulting Numbers: [97, 63, 2] Generated Node #2: [97, 63, 2] from Operation: 40-38=2 Current State: 80:[97, 63, 2], Operations: ['40-38=2'] Exploring Operation: 97+63=160, Resulting Numbers: [2, 160] Generated Node #3: [2, 160] from Operation: 97+63=160 Current State: 80:[2, 160], Operations: ['40-38=2', '97+63=160'] Exploring Operation: 160/2=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 38, 11, 9, 81 ]
19
[ "81/9=9", "11-9=2", "38/2=19" ]
Current State: 19:[38, 11, 9, 81], Operations: [] Exploring Operation: 81/9=9, Resulting Numbers: [38, 11, 9] Generated Node #2: [38, 11, 9] from Operation: 81/9=9 Current State: 19:[38, 11, 9], Operations: ['81/9=9'] Exploring Operation: 11-9=2, Resulting Numbers: [38, 2] Generated Node #3: [38, 2] from Operation: 11-9=2 Current State: 19:[38, 2], Operations: ['81/9=9', '11-9=2'] Exploring Operation: 38/2=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 76, 34, 63, 39 ]
26
[ "76-34=42", "39*42=1638", "1638/63=26" ]
Current State: 26:[76, 34, 63, 39], Operations: [] Exploring Operation: 76-34=42, Resulting Numbers: [63, 39, 42] Generated Node #2: [63, 39, 42] from Operation: 76-34=42 Current State: 26:[63, 39, 42], Operations: ['76-34=42'] Exploring Operation: 39*42=1638, Resulting Numbers: [63, 1638] Generated Node #3: [63, 1638] from Operation: 39*42=1638 Current State: 26:[63, 1638], Operations: ['76-34=42', '39*42=1638'] Exploring Operation: 1638/63=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 55, 1, 96, 16 ]
50
[ "55+1=56", "96/16=6", "56-6=50" ]
Current State: 50:[55, 1, 96, 16], Operations: [] Exploring Operation: 55+1=56, Resulting Numbers: [96, 16, 56] Generated Node #2: [96, 16, 56] from Operation: 55+1=56 Current State: 50:[96, 16, 56], Operations: ['55+1=56'] Exploring Operation: 96/16=6, Resulting Numbers: [56, 6] Generated Node #3: [56, 6] from Operation: 96/16=6 Current State: 50:[56, 6], Operations: ['55+1=56', '96/16=6'] Exploring Operation: 56-6=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 48, 26, 96, 41 ]
17
[ "96/48=2", "41-26=15", "2+15=17" ]
Current State: 17:[48, 26, 96, 41], Operations: [] Exploring Operation: 96/48=2, Resulting Numbers: [26, 41, 2] Generated Node #2: [26, 41, 2] from Operation: 96/48=2 Current State: 17:[26, 41, 2], Operations: ['96/48=2'] Exploring Operation: 41-26=15, Resulting Numbers: [2, 15] Generated Node #3: [2, 15] from Operation: 41-26=15 Current State: 17:[2, 15], Operations: ['96/48=2', '41-26=15'] Exploring Operation: 2+15=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 90, 30, 25, 75 ]
53
[ "90/30=3", "75-25=50", "3+50=53" ]
Current State: 53:[90, 30, 25, 75], Operations: [] Exploring Operation: 90/30=3, Resulting Numbers: [25, 75, 3] Generated Node #2: [25, 75, 3] from Operation: 90/30=3 Current State: 53:[25, 75, 3], Operations: ['90/30=3'] Exploring Operation: 75-25=50, Resulting Numbers: [3, 50] Generated Node #3: [3, 50] from Operation: 75-25=50 Current State: 53:[3, 50], Operations: ['90/30=3', '75-25=50'] Exploring Operation: 3+50=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 79, 25, 10, 14 ]
30
[ "79-25=54", "10+14=24", "54-24=30" ]
Current State: 30:[79, 25, 10, 14], Operations: [] Exploring Operation: 79-25=54, Resulting Numbers: [10, 14, 54] Generated Node #2: [10, 14, 54] from Operation: 79-25=54 Current State: 30:[10, 14, 54], Operations: ['79-25=54'] Exploring Operation: 10+14=24, Resulting Numbers: [54, 24] Generated Node #3: [54, 24] from Operation: 10+14=24 Current State: 30:[54, 24], Operations: ['79-25=54', '10+14=24'] Exploring Operation: 54-24=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 92, 86, 75, 44 ]
25
[ "92-86=6", "75-44=31", "31-6=25" ]
Current State: 25:[92, 86, 75, 44], Operations: [] Exploring Operation: 92-86=6, Resulting Numbers: [75, 44, 6] Generated Node #2: [75, 44, 6] from Operation: 92-86=6 Current State: 25:[75, 44, 6], Operations: ['92-86=6'] Exploring Operation: 75-44=31, Resulting Numbers: [6, 31] Generated Node #3: [6, 31] from Operation: 75-44=31 Current State: 25:[6, 31], Operations: ['92-86=6', '75-44=31'] Exploring Operation: 31-6=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 25, 34, 95, 55 ]
40
[ "95+55=150", "150/25=6", "34+6=40" ]
Current State: 40:[25, 34, 95, 55], Operations: [] Exploring Operation: 95+55=150, Resulting Numbers: [25, 34, 150] Generated Node #2: [25, 34, 150] from Operation: 95+55=150 Current State: 40:[25, 34, 150], Operations: ['95+55=150'] Exploring Operation: 150/25=6, Resulting Numbers: [34, 6] Generated Node #3: [34, 6] from Operation: 150/25=6 Current State: 40:[34, 6], Operations: ['95+55=150', '150/25=6'] Exploring Operation: 34+6=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 1, 15, 77, 4 ]
67
[ "15-1=14", "77+4=81", "81-14=67" ]
Current State: 67:[1, 15, 77, 4], Operations: [] Exploring Operation: 15-1=14, Resulting Numbers: [77, 4, 14] Generated Node #2: [77, 4, 14] from Operation: 15-1=14 Current State: 67:[77, 4, 14], Operations: ['15-1=14'] Exploring Operation: 77+4=81, Resulting Numbers: [14, 81] Generated Node #3: [14, 81] from Operation: 77+4=81 Current State: 67:[14, 81], Operations: ['15-1=14', '77+4=81'] Exploring Operation: 81-14=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 38, 4, 80, 74 ]
48
[ "38+4=42", "80-74=6", "42+6=48" ]
Current State: 48:[38, 4, 80, 74], Operations: [] Exploring Operation: 38+4=42, Resulting Numbers: [80, 74, 42] Generated Node #2: [80, 74, 42] from Operation: 38+4=42 Current State: 48:[80, 74, 42], Operations: ['38+4=42'] Exploring Operation: 80-74=6, Resulting Numbers: [42, 6] Generated Node #3: [42, 6] from Operation: 80-74=6 Current State: 48:[42, 6], Operations: ['38+4=42', '80-74=6'] Exploring Operation: 42+6=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 2, 54, 71, 33 ]
59
[ "2*33=66", "54+71=125", "125-66=59" ]
Current State: 59:[2, 54, 71, 33], Operations: [] Exploring Operation: 2*33=66, Resulting Numbers: [54, 71, 66] Generated Node #2: [54, 71, 66] from Operation: 2*33=66 Current State: 59:[54, 71, 66], Operations: ['2*33=66'] Exploring Operation: 54+71=125, Resulting Numbers: [66, 125] Generated Node #3: [66, 125] from Operation: 54+71=125 Current State: 59:[66, 125], Operations: ['2*33=66', '54+71=125'] Exploring Operation: 125-66=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 28, 67, 89, 54 ]
60
[ "28+67=95", "89-54=35", "95-35=60" ]
Current State: 60:[28, 67, 89, 54], Operations: [] Exploring Operation: 28+67=95, Resulting Numbers: [89, 54, 95] Generated Node #2: [89, 54, 95] from Operation: 28+67=95 Current State: 60:[89, 54, 95], Operations: ['28+67=95'] Exploring Operation: 89-54=35, Resulting Numbers: [95, 35] Generated Node #3: [95, 35] from Operation: 89-54=35 Current State: 60:[95, 35], Operations: ['28+67=95', '89-54=35'] Exploring Operation: 95-35=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 65, 75, 22, 8 ]
96
[ "75-65=10", "22-10=12", "8*12=96" ]
Current State: 96:[65, 75, 22, 8], Operations: [] Exploring Operation: 75-65=10, Resulting Numbers: [22, 8, 10] Generated Node #2: [22, 8, 10] from Operation: 75-65=10 Current State: 96:[22, 8, 10], Operations: ['75-65=10'] Exploring Operation: 22-10=12, Resulting Numbers: [8, 12] Generated Node #3: [8, 12] from Operation: 22-10=12 Current State: 96:[8, 12], Operations: ['75-65=10', '22-10=12'] Exploring Operation: 8*12=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 60, 6, 15, 54 ]
64
[ "60/15=4", "6+54=60", "4+60=64" ]
Current State: 64:[60, 6, 15, 54], Operations: [] Exploring Operation: 60/15=4, Resulting Numbers: [6, 54, 4] Generated Node #2: [6, 54, 4] from Operation: 60/15=4 Current State: 64:[6, 54, 4], Operations: ['60/15=4'] Exploring Operation: 6+54=60, Resulting Numbers: [4, 60] Generated Node #3: [4, 60] from Operation: 6+54=60 Current State: 64:[4, 60], Operations: ['60/15=4', '6+54=60'] Exploring Operation: 4+60=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 76, 26, 96, 34 ]
64
[ "34-26=8", "96/8=12", "76-12=64" ]
Current State: 64:[76, 26, 96, 34], Operations: [] Exploring Operation: 34-26=8, Resulting Numbers: [76, 96, 8] Generated Node #2: [76, 96, 8] from Operation: 34-26=8 Current State: 64:[76, 96, 8], Operations: ['34-26=8'] Exploring Operation: 96/8=12, Resulting Numbers: [76, 12] Generated Node #3: [76, 12] from Operation: 96/8=12 Current State: 64:[76, 12], Operations: ['34-26=8', '96/8=12'] Exploring Operation: 76-12=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 54, 3, 70, 25 ]
91
[ "70-54=16", "3*25=75", "16+75=91" ]
Current State: 91:[54, 3, 70, 25], Operations: [] Exploring Operation: 70-54=16, Resulting Numbers: [3, 25, 16] Generated Node #2: [3, 25, 16] from Operation: 70-54=16 Current State: 91:[3, 25, 16], Operations: ['70-54=16'] Exploring Operation: 3*25=75, Resulting Numbers: [16, 75] Generated Node #3: [16, 75] from Operation: 3*25=75 Current State: 91:[16, 75], Operations: ['70-54=16', '3*25=75'] Exploring Operation: 16+75=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 40, 4, 16, 26 ]
46
[ "40-4=36", "26-16=10", "36+10=46" ]
Current State: 46:[40, 4, 16, 26], Operations: [] Exploring Operation: 40-4=36, Resulting Numbers: [16, 26, 36] Generated Node #2: [16, 26, 36] from Operation: 40-4=36 Current State: 46:[16, 26, 36], Operations: ['40-4=36'] Exploring Operation: 26-16=10, Resulting Numbers: [36, 10] Generated Node #3: [36, 10] from Operation: 26-16=10 Current State: 46:[36, 10], Operations: ['40-4=36', '26-16=10'] Exploring Operation: 36+10=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 63, 86, 60, 37 ]
46
[ "86-63=23", "60-37=23", "23+23=46" ]
Current State: 46:[63, 86, 60, 37], Operations: [] Exploring Operation: 86-63=23, Resulting Numbers: [60, 37, 23] Generated Node #2: [60, 37, 23] from Operation: 86-63=23 Current State: 46:[60, 37, 23], Operations: ['86-63=23'] Exploring Operation: 60-37=23, Resulting Numbers: [23, 23] Generated Node #3: [23, 23] from Operation: 60-37=23 Current State: 46:[23, 23], Operations: ['86-63=23', '60-37=23'] Exploring Operation: 23+23=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 10, 66, 88, 21 ]
94
[ "21-10=11", "66/11=6", "88+6=94" ]
Current State: 94:[10, 66, 88, 21], Operations: [] Exploring Operation: 21-10=11, Resulting Numbers: [66, 88, 11] Generated Node #2: [66, 88, 11] from Operation: 21-10=11 Current State: 94:[66, 88, 11], Operations: ['21-10=11'] Exploring Operation: 66/11=6, Resulting Numbers: [88, 6] Generated Node #3: [88, 6] from Operation: 66/11=6 Current State: 94:[88, 6], Operations: ['21-10=11', '66/11=6'] Exploring Operation: 88+6=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 40, 83, 43, 14 ]
94
[ "40+83=123", "43-14=29", "123-29=94" ]
Current State: 94:[40, 83, 43, 14], Operations: [] Exploring Operation: 40+83=123, Resulting Numbers: [43, 14, 123] Generated Node #2: [43, 14, 123] from Operation: 40+83=123 Current State: 94:[43, 14, 123], Operations: ['40+83=123'] Exploring Operation: 43-14=29, Resulting Numbers: [123, 29] Generated Node #3: [123, 29] from Operation: 43-14=29 Current State: 94:[123, 29], Operations: ['40+83=123', '43-14=29'] Exploring Operation: 123-29=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 13, 9, 87, 59 ]
79
[ "13+59=72", "72/9=8", "87-8=79" ]
Current State: 79:[13, 9, 87, 59], Operations: [] Exploring Operation: 13+59=72, Resulting Numbers: [9, 87, 72] Generated Node #2: [9, 87, 72] from Operation: 13+59=72 Current State: 79:[9, 87, 72], Operations: ['13+59=72'] Exploring Operation: 72/9=8, Resulting Numbers: [87, 8] Generated Node #3: [87, 8] from Operation: 72/9=8 Current State: 79:[87, 8], Operations: ['13+59=72', '72/9=8'] Exploring Operation: 87-8=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 77, 35, 79, 75 ]
70
[ "79+75=154", "154/77=2", "35*2=70" ]
Current State: 70:[77, 35, 79, 75], Operations: [] Exploring Operation: 79+75=154, Resulting Numbers: [77, 35, 154] Generated Node #2: [77, 35, 154] from Operation: 79+75=154 Current State: 70:[77, 35, 154], Operations: ['79+75=154'] Exploring Operation: 154/77=2, Resulting Numbers: [35, 2] Generated Node #3: [35, 2] from Operation: 154/77=2 Current State: 70:[35, 2], Operations: ['79+75=154', '154/77=2'] Exploring Operation: 35*2=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 86, 43, 99, 57 ]
27
[ "86+43=129", "99+57=156", "156-129=27" ]
Current State: 27:[86, 43, 99, 57], Operations: [] Exploring Operation: 86+43=129, Resulting Numbers: [99, 57, 129] Generated Node #2: [99, 57, 129] from Operation: 86+43=129 Current State: 27:[99, 57, 129], Operations: ['86+43=129'] Exploring Operation: 99+57=156, Resulting Numbers: [129, 156] Generated Node #3: [129, 156] from Operation: 99+57=156 Current State: 27:[129, 156], Operations: ['86+43=129', '99+57=156'] Exploring Operation: 156-129=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 91, 83, 89, 96 ]
30
[ "96-91=5", "89-83=6", "5*6=30" ]
Current State: 30:[91, 83, 89, 96], Operations: [] Exploring Operation: 96-91=5, Resulting Numbers: [83, 89, 5] Generated Node #2: [83, 89, 5] from Operation: 96-91=5 Current State: 30:[83, 89, 5], Operations: ['96-91=5'] Exploring Operation: 89-83=6, Resulting Numbers: [5, 6] Generated Node #3: [5, 6] from Operation: 89-83=6 Current State: 30:[5, 6], Operations: ['96-91=5', '89-83=6'] Exploring Operation: 5*6=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 31, 40, 70, 13 ]
77
[ "31+13=44", "70*44=3080", "3080/40=77" ]
Current State: 77:[31, 40, 70, 13], Operations: [] Exploring Operation: 31+13=44, Resulting Numbers: [40, 70, 44] Generated Node #2: [40, 70, 44] from Operation: 31+13=44 Current State: 77:[40, 70, 44], Operations: ['31+13=44'] Exploring Operation: 70*44=3080, Resulting Numbers: [40, 3080] Generated Node #3: [40, 3080] from Operation: 70*44=3080 Current State: 77:[40, 3080], Operations: ['31+13=44', '70*44=3080'] Exploring Operation: 3080/40=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 66, 65, 14, 80 ]
66
[ "66-65=1", "80-14=66", "1*66=66" ]
Current State: 66:[66, 65, 14, 80], Operations: [] Exploring Operation: 66-65=1, Resulting Numbers: [14, 80, 1] Generated Node #2: [14, 80, 1] from Operation: 66-65=1 Current State: 66:[14, 80, 1], Operations: ['66-65=1'] Exploring Operation: 80-14=66, Resulting Numbers: [1, 66] Generated Node #3: [1, 66] from Operation: 80-14=66 Current State: 66:[1, 66], Operations: ['66-65=1', '80-14=66'] Exploring Operation: 1*66=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 40, 75, 5, 87 ]
38
[ "40*5=200", "75+87=162", "200-162=38" ]
Current State: 38:[40, 75, 5, 87], Operations: [] Exploring Operation: 40*5=200, Resulting Numbers: [75, 87, 200] Generated Node #2: [75, 87, 200] from Operation: 40*5=200 Current State: 38:[75, 87, 200], Operations: ['40*5=200'] Exploring Operation: 75+87=162, Resulting Numbers: [200, 162] Generated Node #3: [200, 162] from Operation: 75+87=162 Current State: 38:[200, 162], Operations: ['40*5=200', '75+87=162'] Exploring Operation: 200-162=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 29, 2, 59, 7 ]
62
[ "59+7=66", "66/2=33", "29+33=62" ]
Current State: 62:[29, 2, 59, 7], Operations: [] Exploring Operation: 59+7=66, Resulting Numbers: [29, 2, 66] Generated Node #2: [29, 2, 66] from Operation: 59+7=66 Current State: 62:[29, 2, 66], Operations: ['59+7=66'] Exploring Operation: 66/2=33, Resulting Numbers: [29, 33] Generated Node #3: [29, 33] from Operation: 66/2=33 Current State: 62:[29, 33], Operations: ['59+7=66', '66/2=33'] Exploring Operation: 29+33=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 77, 96, 60, 14 ]
27
[ "96-77=19", "60-14=46", "46-19=27" ]
Current State: 27:[77, 96, 60, 14], Operations: [] Exploring Operation: 96-77=19, Resulting Numbers: [60, 14, 19] Generated Node #2: [60, 14, 19] from Operation: 96-77=19 Current State: 27:[60, 14, 19], Operations: ['96-77=19'] Exploring Operation: 60-14=46, Resulting Numbers: [19, 46] Generated Node #3: [19, 46] from Operation: 60-14=46 Current State: 27:[19, 46], Operations: ['96-77=19', '60-14=46'] Exploring Operation: 46-19=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 42, 4, 13, 18 ]
66
[ "42*4=168", "13*18=234", "234-168=66" ]
Current State: 66:[42, 4, 13, 18], Operations: [] Exploring Operation: 42*4=168, Resulting Numbers: [13, 18, 168] Generated Node #2: [13, 18, 168] from Operation: 42*4=168 Current State: 66:[13, 18, 168], Operations: ['42*4=168'] Exploring Operation: 13*18=234, Resulting Numbers: [168, 234] Generated Node #3: [168, 234] from Operation: 13*18=234 Current State: 66:[168, 234], Operations: ['42*4=168', '13*18=234'] Exploring Operation: 234-168=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 10, 12, 78, 79 ]
23
[ "10+12=22", "79-78=1", "22+1=23" ]
Current State: 23:[10, 12, 78, 79], Operations: [] Exploring Operation: 10+12=22, Resulting Numbers: [78, 79, 22] Generated Node #2: [78, 79, 22] from Operation: 10+12=22 Current State: 23:[78, 79, 22], Operations: ['10+12=22'] Exploring Operation: 79-78=1, Resulting Numbers: [22, 1] Generated Node #3: [22, 1] from Operation: 79-78=1 Current State: 23:[22, 1], Operations: ['10+12=22', '79-78=1'] Exploring Operation: 22+1=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 31, 49, 10, 84 ]
76
[ "31+49=80", "80/10=8", "84-8=76" ]
Current State: 76:[31, 49, 10, 84], Operations: [] Exploring Operation: 31+49=80, Resulting Numbers: [10, 84, 80] Generated Node #2: [10, 84, 80] from Operation: 31+49=80 Current State: 76:[10, 84, 80], Operations: ['31+49=80'] Exploring Operation: 80/10=8, Resulting Numbers: [84, 8] Generated Node #3: [84, 8] from Operation: 80/10=8 Current State: 76:[84, 8], Operations: ['31+49=80', '80/10=8'] Exploring Operation: 84-8=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 32, 4, 9, 99 ]
38
[ "32*4=128", "99-9=90", "128-90=38" ]
Current State: 38:[32, 4, 9, 99], Operations: [] Exploring Operation: 32*4=128, Resulting Numbers: [9, 99, 128] Generated Node #2: [9, 99, 128] from Operation: 32*4=128 Current State: 38:[9, 99, 128], Operations: ['32*4=128'] Exploring Operation: 99-9=90, Resulting Numbers: [128, 90] Generated Node #3: [128, 90] from Operation: 99-9=90 Current State: 38:[128, 90], Operations: ['32*4=128', '99-9=90'] Exploring Operation: 128-90=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 8, 6, 6, 9 ]
64
[ "6/6=1", "9-1=8", "8*8=64" ]
Current State: 64:[8, 6, 6, 9], Operations: [] Exploring Operation: 6/6=1, Resulting Numbers: [8, 9, 1] Generated Node #2: [8, 9, 1] from Operation: 6/6=1 Current State: 64:[8, 9, 1], Operations: ['6/6=1'] Exploring Operation: 9-1=8, Resulting Numbers: [8, 8] Generated Node #3: [8, 8] from Operation: 9-1=8 Current State: 64:[8, 8], Operations: ['6/6=1', '9-1=8'] Exploring Operation: 8*8=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 34, 13, 41, 12 ]
97
[ "41-34=7", "12*7=84", "13+84=97" ]
Current State: 97:[34, 13, 41, 12], Operations: [] Exploring Operation: 41-34=7, Resulting Numbers: [13, 12, 7] Generated Node #2: [13, 12, 7] from Operation: 41-34=7 Current State: 97:[13, 12, 7], Operations: ['41-34=7'] Exploring Operation: 12*7=84, Resulting Numbers: [13, 84] Generated Node #3: [13, 84] from Operation: 12*7=84 Current State: 97:[13, 84], Operations: ['41-34=7', '12*7=84'] Exploring Operation: 13+84=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 55, 62, 50, 16 ]
51
[ "55+62=117", "50+16=66", "117-66=51" ]
Current State: 51:[55, 62, 50, 16], Operations: [] Exploring Operation: 55+62=117, Resulting Numbers: [50, 16, 117] Generated Node #2: [50, 16, 117] from Operation: 55+62=117 Current State: 51:[50, 16, 117], Operations: ['55+62=117'] Exploring Operation: 50+16=66, Resulting Numbers: [117, 66] Generated Node #3: [117, 66] from Operation: 50+16=66 Current State: 51:[117, 66], Operations: ['55+62=117', '50+16=66'] Exploring Operation: 117-66=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 8, 87, 19, 48 ]
100
[ "48/8=6", "87+19=106", "106-6=100" ]
Current State: 100:[8, 87, 19, 48], Operations: [] Exploring Operation: 48/8=6, Resulting Numbers: [87, 19, 6] Generated Node #2: [87, 19, 6] from Operation: 48/8=6 Current State: 100:[87, 19, 6], Operations: ['48/8=6'] Exploring Operation: 87+19=106, Resulting Numbers: [6, 106] Generated Node #3: [6, 106] from Operation: 87+19=106 Current State: 100:[6, 106], Operations: ['48/8=6', '87+19=106'] Exploring Operation: 106-6=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 63, 90, 6, 36 ]
57
[ "90-63=27", "36-6=30", "27+30=57" ]
Current State: 57:[63, 90, 6, 36], Operations: [] Exploring Operation: 90-63=27, Resulting Numbers: [6, 36, 27] Generated Node #2: [6, 36, 27] from Operation: 90-63=27 Current State: 57:[6, 36, 27], Operations: ['90-63=27'] Exploring Operation: 36-6=30, Resulting Numbers: [27, 30] Generated Node #3: [27, 30] from Operation: 36-6=30 Current State: 57:[27, 30], Operations: ['90-63=27', '36-6=30'] Exploring Operation: 27+30=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 18, 3, 25, 64 ]
99
[ "64-25=39", "3*39=117", "117-18=99" ]
Current State: 99:[18, 3, 25, 64], Operations: [] Exploring Operation: 64-25=39, Resulting Numbers: [18, 3, 39] Generated Node #2: [18, 3, 39] from Operation: 64-25=39 Current State: 99:[18, 3, 39], Operations: ['64-25=39'] Exploring Operation: 3*39=117, Resulting Numbers: [18, 117] Generated Node #3: [18, 117] from Operation: 3*39=117 Current State: 99:[18, 117], Operations: ['64-25=39', '3*39=117'] Exploring Operation: 117-18=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 50, 79, 75, 3 ]
51
[ "50+79=129", "75+3=78", "129-78=51" ]
Current State: 51:[50, 79, 75, 3], Operations: [] Exploring Operation: 50+79=129, Resulting Numbers: [75, 3, 129] Generated Node #2: [75, 3, 129] from Operation: 50+79=129 Current State: 51:[75, 3, 129], Operations: ['50+79=129'] Exploring Operation: 75+3=78, Resulting Numbers: [129, 78] Generated Node #3: [129, 78] from Operation: 75+3=78 Current State: 51:[129, 78], Operations: ['50+79=129', '75+3=78'] Exploring Operation: 129-78=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 73, 85, 55, 2 ]
94
[ "73-55=18", "18/2=9", "85+9=94" ]
Current State: 94:[73, 85, 55, 2], Operations: [] Exploring Operation: 73-55=18, Resulting Numbers: [85, 2, 18] Generated Node #2: [85, 2, 18] from Operation: 73-55=18 Current State: 94:[85, 2, 18], Operations: ['73-55=18'] Exploring Operation: 18/2=9, Resulting Numbers: [85, 9] Generated Node #3: [85, 9] from Operation: 18/2=9 Current State: 94:[85, 9], Operations: ['73-55=18', '18/2=9'] Exploring Operation: 85+9=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 13, 52, 10, 80 ]
74
[ "52/13=4", "80-10=70", "4+70=74" ]
Current State: 74:[13, 52, 10, 80], Operations: [] Exploring Operation: 52/13=4, Resulting Numbers: [10, 80, 4] Generated Node #2: [10, 80, 4] from Operation: 52/13=4 Current State: 74:[10, 80, 4], Operations: ['52/13=4'] Exploring Operation: 80-10=70, Resulting Numbers: [4, 70] Generated Node #3: [4, 70] from Operation: 80-10=70 Current State: 74:[4, 70], Operations: ['52/13=4', '80-10=70'] Exploring Operation: 4+70=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 23, 5, 59, 56 ]
31
[ "23+5=28", "59-56=3", "28+3=31" ]
Current State: 31:[23, 5, 59, 56], Operations: [] Exploring Operation: 23+5=28, Resulting Numbers: [59, 56, 28] Generated Node #2: [59, 56, 28] from Operation: 23+5=28 Current State: 31:[59, 56, 28], Operations: ['23+5=28'] Exploring Operation: 59-56=3, Resulting Numbers: [28, 3] Generated Node #3: [28, 3] from Operation: 59-56=3 Current State: 31:[28, 3], Operations: ['23+5=28', '59-56=3'] Exploring Operation: 28+3=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 26, 83, 34, 32 ]
31
[ "34-32=2", "26*2=52", "83-52=31" ]
Current State: 31:[26, 83, 34, 32], Operations: [] Exploring Operation: 34-32=2, Resulting Numbers: [26, 83, 2] Generated Node #2: [26, 83, 2] from Operation: 34-32=2 Current State: 31:[26, 83, 2], Operations: ['34-32=2'] Exploring Operation: 26*2=52, Resulting Numbers: [83, 52] Generated Node #3: [83, 52] from Operation: 26*2=52 Current State: 31:[83, 52], Operations: ['34-32=2', '26*2=52'] Exploring Operation: 83-52=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 86, 20, 24, 22 ]
20
[ "86-20=66", "24+22=46", "66-46=20" ]
Current State: 20:[86, 20, 24, 22], Operations: [] Exploring Operation: 86-20=66, Resulting Numbers: [24, 22, 66] Generated Node #2: [24, 22, 66] from Operation: 86-20=66 Current State: 20:[24, 22, 66], Operations: ['86-20=66'] Exploring Operation: 24+22=46, Resulting Numbers: [66, 46] Generated Node #3: [66, 46] from Operation: 24+22=46 Current State: 20:[66, 46], Operations: ['86-20=66', '24+22=46'] Exploring Operation: 66-46=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 47, 13, 40, 61 ]
13
[ "47-13=34", "61-40=21", "34-21=13" ]
Current State: 13:[47, 13, 40, 61], Operations: [] Exploring Operation: 47-13=34, Resulting Numbers: [40, 61, 34] Generated Node #2: [40, 61, 34] from Operation: 47-13=34 Current State: 13:[40, 61, 34], Operations: ['47-13=34'] Exploring Operation: 61-40=21, Resulting Numbers: [34, 21] Generated Node #3: [34, 21] from Operation: 61-40=21 Current State: 13:[34, 21], Operations: ['47-13=34', '61-40=21'] Exploring Operation: 34-21=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 60, 96, 71, 92 ]
74
[ "92-60=32", "96/32=3", "71+3=74" ]
Current State: 74:[60, 96, 71, 92], Operations: [] Exploring Operation: 92-60=32, Resulting Numbers: [96, 71, 32] Generated Node #2: [96, 71, 32] from Operation: 92-60=32 Current State: 74:[96, 71, 32], Operations: ['92-60=32'] Exploring Operation: 96/32=3, Resulting Numbers: [71, 3] Generated Node #3: [71, 3] from Operation: 96/32=3 Current State: 74:[71, 3], Operations: ['92-60=32', '96/32=3'] Exploring Operation: 71+3=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 21, 67, 87, 54 ]
55
[ "21+67=88", "87-54=33", "88-33=55" ]
Current State: 55:[21, 67, 87, 54], Operations: [] Exploring Operation: 21+67=88, Resulting Numbers: [87, 54, 88] Generated Node #2: [87, 54, 88] from Operation: 21+67=88 Current State: 55:[87, 54, 88], Operations: ['21+67=88'] Exploring Operation: 87-54=33, Resulting Numbers: [88, 33] Generated Node #3: [88, 33] from Operation: 87-54=33 Current State: 55:[88, 33], Operations: ['21+67=88', '87-54=33'] Exploring Operation: 88-33=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 21, 92, 69, 49 ]
92
[ "69-21=48", "49-48=1", "92*1=92" ]
Current State: 92:[21, 92, 69, 49], Operations: [] Exploring Operation: 69-21=48, Resulting Numbers: [92, 49, 48] Generated Node #2: [92, 49, 48] from Operation: 69-21=48 Current State: 92:[92, 49, 48], Operations: ['69-21=48'] Exploring Operation: 49-48=1, Resulting Numbers: [92, 1] Generated Node #3: [92, 1] from Operation: 49-48=1 Current State: 92:[92, 1], Operations: ['69-21=48', '49-48=1'] Exploring Operation: 92*1=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 65, 12, 84, 12 ]
71
[ "84-12=72", "72/12=6", "65+6=71" ]
Current State: 71:[65, 12, 84, 12], Operations: [] Exploring Operation: 84-12=72, Resulting Numbers: [65, 72] Generated Node #2: [65, 72] from Operation: 84-12=72 Current State: 71:[65, 72], Operations: ['84-12=72'] Exploring Operation: 72/12=6, Resulting Numbers: [65, 6] Generated Node #3: [65, 6] from Operation: 72/12=6 Current State: 71:[65, 6], Operations: ['84-12=72', '72/12=6'] Exploring Operation: 65+6=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 46, 2, 49, 59 ]
59
[ "46+2=48", "49-48=1", "59*1=59" ]
Current State: 59:[46, 2, 49, 59], Operations: [] Exploring Operation: 46+2=48, Resulting Numbers: [49, 59, 48] Generated Node #2: [49, 59, 48] from Operation: 46+2=48 Current State: 59:[49, 59, 48], Operations: ['46+2=48'] Exploring Operation: 49-48=1, Resulting Numbers: [59, 1] Generated Node #3: [59, 1] from Operation: 49-48=1 Current State: 59:[59, 1], Operations: ['46+2=48', '49-48=1'] Exploring Operation: 59*1=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 66, 55, 4, 55 ]
62
[ "66+55=121", "4+55=59", "121-59=62" ]
Current State: 62:[66, 55, 4, 55], Operations: [] Exploring Operation: 66+55=121, Resulting Numbers: [4, 121] Generated Node #2: [4, 121] from Operation: 66+55=121 Current State: 62:[4, 121], Operations: ['66+55=121'] Exploring Operation: 4+55=59, Resulting Numbers: [121, 59] Generated Node #3: [121, 59] from Operation: 4+55=59 Current State: 62:[121, 59], Operations: ['66+55=121', '4+55=59'] Exploring Operation: 121-59=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 54, 2, 68, 40 ]
56
[ "54-2=52", "68+40=108", "108-52=56" ]
Current State: 56:[54, 2, 68, 40], Operations: [] Exploring Operation: 54-2=52, Resulting Numbers: [68, 40, 52] Generated Node #2: [68, 40, 52] from Operation: 54-2=52 Current State: 56:[68, 40, 52], Operations: ['54-2=52'] Exploring Operation: 68+40=108, Resulting Numbers: [52, 108] Generated Node #3: [52, 108] from Operation: 68+40=108 Current State: 56:[52, 108], Operations: ['54-2=52', '68+40=108'] Exploring Operation: 108-52=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 20, 31, 25, 49 ]
29
[ "31+49=80", "80/20=4", "25+4=29" ]
Current State: 29:[20, 31, 25, 49], Operations: [] Exploring Operation: 31+49=80, Resulting Numbers: [20, 25, 80] Generated Node #2: [20, 25, 80] from Operation: 31+49=80 Current State: 29:[20, 25, 80], Operations: ['31+49=80'] Exploring Operation: 80/20=4, Resulting Numbers: [25, 4] Generated Node #3: [25, 4] from Operation: 80/20=4 Current State: 29:[25, 4], Operations: ['31+49=80', '80/20=4'] Exploring Operation: 25+4=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 47, 61, 60, 3 ]
45
[ "47+61=108", "60+3=63", "108-63=45" ]
Current State: 45:[47, 61, 60, 3], Operations: [] Exploring Operation: 47+61=108, Resulting Numbers: [60, 3, 108] Generated Node #2: [60, 3, 108] from Operation: 47+61=108 Current State: 45:[60, 3, 108], Operations: ['47+61=108'] Exploring Operation: 60+3=63, Resulting Numbers: [108, 63] Generated Node #3: [108, 63] from Operation: 60+3=63 Current State: 45:[108, 63], Operations: ['47+61=108', '60+3=63'] Exploring Operation: 108-63=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 14, 31, 94, 76 ]
27
[ "14+31=45", "94-76=18", "45-18=27" ]
Current State: 27:[14, 31, 94, 76], Operations: [] Exploring Operation: 14+31=45, Resulting Numbers: [94, 76, 45] Generated Node #2: [94, 76, 45] from Operation: 14+31=45 Current State: 27:[94, 76, 45], Operations: ['14+31=45'] Exploring Operation: 94-76=18, Resulting Numbers: [45, 18] Generated Node #3: [45, 18] from Operation: 94-76=18 Current State: 27:[45, 18], Operations: ['14+31=45', '94-76=18'] Exploring Operation: 45-18=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 14, 2, 33, 69 ]
25
[ "14+33=47", "2*47=94", "94-69=25" ]
Current State: 25:[14, 2, 33, 69], Operations: [] Exploring Operation: 14+33=47, Resulting Numbers: [2, 69, 47] Generated Node #2: [2, 69, 47] from Operation: 14+33=47 Current State: 25:[2, 69, 47], Operations: ['14+33=47'] Exploring Operation: 2*47=94, Resulting Numbers: [69, 94] Generated Node #3: [69, 94] from Operation: 2*47=94 Current State: 25:[69, 94], Operations: ['14+33=47', '2*47=94'] Exploring Operation: 94-69=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 95, 80, 15, 77 ]
50
[ "80-77=3", "15*3=45", "95-45=50" ]
Current State: 50:[95, 80, 15, 77], Operations: [] Exploring Operation: 80-77=3, Resulting Numbers: [95, 15, 3] Generated Node #2: [95, 15, 3] from Operation: 80-77=3 Current State: 50:[95, 15, 3], Operations: ['80-77=3'] Exploring Operation: 15*3=45, Resulting Numbers: [95, 45] Generated Node #3: [95, 45] from Operation: 15*3=45 Current State: 50:[95, 45], Operations: ['80-77=3', '15*3=45'] Exploring Operation: 95-45=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 55, 2, 48, 37 ]
70
[ "55+48=103", "37+103=140", "140/2=70" ]
Current State: 70:[55, 2, 48, 37], Operations: [] Exploring Operation: 55+48=103, Resulting Numbers: [2, 37, 103] Generated Node #2: [2, 37, 103] from Operation: 55+48=103 Current State: 70:[2, 37, 103], Operations: ['55+48=103'] Exploring Operation: 37+103=140, Resulting Numbers: [2, 140] Generated Node #3: [2, 140] from Operation: 37+103=140 Current State: 70:[2, 140], Operations: ['55+48=103', '37+103=140'] Exploring Operation: 140/2=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 96, 86, 3, 64 ]
34
[ "96-86=10", "3*10=30", "64-30=34" ]
Current State: 34:[96, 86, 3, 64], Operations: [] Exploring Operation: 96-86=10, Resulting Numbers: [3, 64, 10] Generated Node #2: [3, 64, 10] from Operation: 96-86=10 Current State: 34:[3, 64, 10], Operations: ['96-86=10'] Exploring Operation: 3*10=30, Resulting Numbers: [64, 30] Generated Node #3: [64, 30] from Operation: 3*10=30 Current State: 34:[64, 30], Operations: ['96-86=10', '3*10=30'] Exploring Operation: 64-30=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 87, 46, 17, 15 ]
64
[ "17-15=2", "46/2=23", "87-23=64" ]
Current State: 64:[87, 46, 17, 15], Operations: [] Exploring Operation: 17-15=2, Resulting Numbers: [87, 46, 2] Generated Node #2: [87, 46, 2] from Operation: 17-15=2 Current State: 64:[87, 46, 2], Operations: ['17-15=2'] Exploring Operation: 46/2=23, Resulting Numbers: [87, 23] Generated Node #3: [87, 23] from Operation: 46/2=23 Current State: 64:[87, 23], Operations: ['17-15=2', '46/2=23'] Exploring Operation: 87-23=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 69, 79, 71, 38 ]
43
[ "79-69=10", "71-38=33", "10+33=43" ]
Current State: 43:[69, 79, 71, 38], Operations: [] Exploring Operation: 79-69=10, Resulting Numbers: [71, 38, 10] Generated Node #2: [71, 38, 10] from Operation: 79-69=10 Current State: 43:[71, 38, 10], Operations: ['79-69=10'] Exploring Operation: 71-38=33, Resulting Numbers: [10, 33] Generated Node #3: [10, 33] from Operation: 71-38=33 Current State: 43:[10, 33], Operations: ['79-69=10', '71-38=33'] Exploring Operation: 10+33=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 40, 61, 14, 61 ]
68
[ "61-40=21", "61-14=47", "21+47=68" ]
Current State: 68:[40, 61, 14, 61], Operations: [] Exploring Operation: 61-40=21, Resulting Numbers: [14, 21] Generated Node #2: [14, 21] from Operation: 61-40=21 Current State: 68:[14, 21], Operations: ['61-40=21'] Exploring Operation: 61-14=47, Resulting Numbers: [21, 47] Generated Node #3: [21, 47] from Operation: 61-14=47 Current State: 68:[21, 47], Operations: ['61-40=21', '61-14=47'] Exploring Operation: 21+47=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 22, 83, 67, 50 ]
78
[ "83-22=61", "67-50=17", "61+17=78" ]
Current State: 78:[22, 83, 67, 50], Operations: [] Exploring Operation: 83-22=61, Resulting Numbers: [67, 50, 61] Generated Node #2: [67, 50, 61] from Operation: 83-22=61 Current State: 78:[67, 50, 61], Operations: ['83-22=61'] Exploring Operation: 67-50=17, Resulting Numbers: [61, 17] Generated Node #3: [61, 17] from Operation: 67-50=17 Current State: 78:[61, 17], Operations: ['83-22=61', '67-50=17'] Exploring Operation: 61+17=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 2, 14, 13, 48 ]
44
[ "14+48=62", "62/2=31", "13+31=44" ]
Current State: 44:[2, 14, 13, 48], Operations: [] Exploring Operation: 14+48=62, Resulting Numbers: [2, 13, 62] Generated Node #2: [2, 13, 62] from Operation: 14+48=62 Current State: 44:[2, 13, 62], Operations: ['14+48=62'] Exploring Operation: 62/2=31, Resulting Numbers: [13, 31] Generated Node #3: [13, 31] from Operation: 62/2=31 Current State: 44:[13, 31], Operations: ['14+48=62', '62/2=31'] Exploring Operation: 13+31=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 74, 13, 15, 21 ]
51
[ "74+13=87", "15+21=36", "87-36=51" ]
Current State: 51:[74, 13, 15, 21], Operations: [] Exploring Operation: 74+13=87, Resulting Numbers: [15, 21, 87] Generated Node #2: [15, 21, 87] from Operation: 74+13=87 Current State: 51:[15, 21, 87], Operations: ['74+13=87'] Exploring Operation: 15+21=36, Resulting Numbers: [87, 36] Generated Node #3: [87, 36] from Operation: 15+21=36 Current State: 51:[87, 36], Operations: ['74+13=87', '15+21=36'] Exploring Operation: 87-36=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 3, 98, 11, 16 ]
75
[ "3+98=101", "11*16=176", "176-101=75" ]
Current State: 75:[3, 98, 11, 16], Operations: [] Exploring Operation: 3+98=101, Resulting Numbers: [11, 16, 101] Generated Node #2: [11, 16, 101] from Operation: 3+98=101 Current State: 75:[11, 16, 101], Operations: ['3+98=101'] Exploring Operation: 11*16=176, Resulting Numbers: [101, 176] Generated Node #3: [101, 176] from Operation: 11*16=176 Current State: 75:[101, 176], Operations: ['3+98=101', '11*16=176'] Exploring Operation: 176-101=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 6, 23, 10, 49 ]
64
[ "6*49=294", "23*10=230", "294-230=64" ]
Current State: 64:[6, 23, 10, 49], Operations: [] Exploring Operation: 6*49=294, Resulting Numbers: [23, 10, 294] Generated Node #2: [23, 10, 294] from Operation: 6*49=294 Current State: 64:[23, 10, 294], Operations: ['6*49=294'] Exploring Operation: 23*10=230, Resulting Numbers: [294, 230] Generated Node #3: [294, 230] from Operation: 23*10=230 Current State: 64:[294, 230], Operations: ['6*49=294', '23*10=230'] Exploring Operation: 294-230=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 50, 2, 85, 98 ]
14
[ "85-50=35", "98/2=49", "49-35=14" ]
Current State: 14:[50, 2, 85, 98], Operations: [] Exploring Operation: 85-50=35, Resulting Numbers: [2, 98, 35] Generated Node #2: [2, 98, 35] from Operation: 85-50=35 Current State: 14:[2, 98, 35], Operations: ['85-50=35'] Exploring Operation: 98/2=49, Resulting Numbers: [35, 49] Generated Node #3: [35, 49] from Operation: 98/2=49 Current State: 14:[35, 49], Operations: ['85-50=35', '98/2=49'] Exploring Operation: 49-35=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 3, 6, 33, 30 ]
75
[ "3*33=99", "30-6=24", "99-24=75" ]
Current State: 75:[3, 6, 33, 30], Operations: [] Exploring Operation: 3*33=99, Resulting Numbers: [6, 30, 99] Generated Node #2: [6, 30, 99] from Operation: 3*33=99 Current State: 75:[6, 30, 99], Operations: ['3*33=99'] Exploring Operation: 30-6=24, Resulting Numbers: [99, 24] Generated Node #3: [99, 24] from Operation: 30-6=24 Current State: 75:[99, 24], Operations: ['3*33=99', '30-6=24'] Exploring Operation: 99-24=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 5, 52, 95, 2 ]
73
[ "95/5=19", "52+2=54", "19+54=73" ]
Current State: 73:[5, 52, 95, 2], Operations: [] Exploring Operation: 95/5=19, Resulting Numbers: [52, 2, 19] Generated Node #2: [52, 2, 19] from Operation: 95/5=19 Current State: 73:[52, 2, 19], Operations: ['95/5=19'] Exploring Operation: 52+2=54, Resulting Numbers: [19, 54] Generated Node #3: [19, 54] from Operation: 52+2=54 Current State: 73:[19, 54], Operations: ['95/5=19', '52+2=54'] Exploring Operation: 19+54=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 70, 34, 8, 93 ]
49
[ "70-34=36", "93-8=85", "85-36=49" ]
Current State: 49:[70, 34, 8, 93], Operations: [] Exploring Operation: 70-34=36, Resulting Numbers: [8, 93, 36] Generated Node #2: [8, 93, 36] from Operation: 70-34=36 Current State: 49:[8, 93, 36], Operations: ['70-34=36'] Exploring Operation: 93-8=85, Resulting Numbers: [36, 85] Generated Node #3: [36, 85] from Operation: 93-8=85 Current State: 49:[36, 85], Operations: ['70-34=36', '93-8=85'] Exploring Operation: 85-36=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 26, 68, 80, 9 ]
82
[ "80-68=12", "9*12=108", "108-26=82" ]
Current State: 82:[26, 68, 80, 9], Operations: [] Exploring Operation: 80-68=12, Resulting Numbers: [26, 9, 12] Generated Node #2: [26, 9, 12] from Operation: 80-68=12 Current State: 82:[26, 9, 12], Operations: ['80-68=12'] Exploring Operation: 9*12=108, Resulting Numbers: [26, 108] Generated Node #3: [26, 108] from Operation: 9*12=108 Current State: 82:[26, 108], Operations: ['80-68=12', '9*12=108'] Exploring Operation: 108-26=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 66, 96, 81, 63 ]
48
[ "96-66=30", "81-63=18", "30+18=48" ]
Current State: 48:[66, 96, 81, 63], Operations: [] Exploring Operation: 96-66=30, Resulting Numbers: [81, 63, 30] Generated Node #2: [81, 63, 30] from Operation: 96-66=30 Current State: 48:[81, 63, 30], Operations: ['96-66=30'] Exploring Operation: 81-63=18, Resulting Numbers: [30, 18] Generated Node #3: [30, 18] from Operation: 81-63=18 Current State: 48:[30, 18], Operations: ['96-66=30', '81-63=18'] Exploring Operation: 30+18=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 7, 65, 1, 33 ]
90
[ "65-7=58", "33-1=32", "58+32=90" ]
Current State: 90:[7, 65, 1, 33], Operations: [] Exploring Operation: 65-7=58, Resulting Numbers: [1, 33, 58] Generated Node #2: [1, 33, 58] from Operation: 65-7=58 Current State: 90:[1, 33, 58], Operations: ['65-7=58'] Exploring Operation: 33-1=32, Resulting Numbers: [58, 32] Generated Node #3: [58, 32] from Operation: 33-1=32 Current State: 90:[58, 32], Operations: ['65-7=58', '33-1=32'] Exploring Operation: 58+32=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 90, 42, 31, 97 ]
25
[ "97-90=7", "42/7=6", "31-6=25" ]
Current State: 25:[90, 42, 31, 97], Operations: [] Exploring Operation: 97-90=7, Resulting Numbers: [42, 31, 7] Generated Node #2: [42, 31, 7] from Operation: 97-90=7 Current State: 25:[42, 31, 7], Operations: ['97-90=7'] Exploring Operation: 42/7=6, Resulting Numbers: [31, 6] Generated Node #3: [31, 6] from Operation: 42/7=6 Current State: 25:[31, 6], Operations: ['97-90=7', '42/7=6'] Exploring Operation: 31-6=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 5, 9, 15, 60 ]
56
[ "5+9=14", "60/15=4", "14*4=56" ]
Current State: 56:[5, 9, 15, 60], Operations: [] Exploring Operation: 5+9=14, Resulting Numbers: [15, 60, 14] Generated Node #2: [15, 60, 14] from Operation: 5+9=14 Current State: 56:[15, 60, 14], Operations: ['5+9=14'] Exploring Operation: 60/15=4, Resulting Numbers: [14, 4] Generated Node #3: [14, 4] from Operation: 60/15=4 Current State: 56:[14, 4], Operations: ['5+9=14', '60/15=4'] Exploring Operation: 14*4=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 40, 20, 13, 21 ]
36
[ "40/20=2", "13+21=34", "2+34=36" ]
Current State: 36:[40, 20, 13, 21], Operations: [] Exploring Operation: 40/20=2, Resulting Numbers: [13, 21, 2] Generated Node #2: [13, 21, 2] from Operation: 40/20=2 Current State: 36:[13, 21, 2], Operations: ['40/20=2'] Exploring Operation: 13+21=34, Resulting Numbers: [2, 34] Generated Node #3: [2, 34] from Operation: 13+21=34 Current State: 36:[2, 34], Operations: ['40/20=2', '13+21=34'] Exploring Operation: 2+34=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 42, 37, 87, 31 ]
61
[ "42-37=5", "87-31=56", "5+56=61" ]
Current State: 61:[42, 37, 87, 31], Operations: [] Exploring Operation: 42-37=5, Resulting Numbers: [87, 31, 5] Generated Node #2: [87, 31, 5] from Operation: 42-37=5 Current State: 61:[87, 31, 5], Operations: ['42-37=5'] Exploring Operation: 87-31=56, Resulting Numbers: [5, 56] Generated Node #3: [5, 56] from Operation: 87-31=56 Current State: 61:[5, 56], Operations: ['42-37=5', '87-31=56'] Exploring Operation: 5+56=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 62, 48, 29, 56 ]
71
[ "62-48=14", "29+56=85", "85-14=71" ]
Current State: 71:[62, 48, 29, 56], Operations: [] Exploring Operation: 62-48=14, Resulting Numbers: [29, 56, 14] Generated Node #2: [29, 56, 14] from Operation: 62-48=14 Current State: 71:[29, 56, 14], Operations: ['62-48=14'] Exploring Operation: 29+56=85, Resulting Numbers: [14, 85] Generated Node #3: [14, 85] from Operation: 29+56=85 Current State: 71:[14, 85], Operations: ['62-48=14', '29+56=85'] Exploring Operation: 85-14=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 15, 79, 16, 94 ]
78
[ "79*16=1264", "1264-94=1170", "1170/15=78" ]
Current State: 78:[15, 79, 16, 94], Operations: [] Exploring Operation: 79*16=1264, Resulting Numbers: [15, 94, 1264] Generated Node #2: [15, 94, 1264] from Operation: 79*16=1264 Current State: 78:[15, 94, 1264], Operations: ['79*16=1264'] Exploring Operation: 1264-94=1170, Resulting Numbers: [15, 1170] Generated Node #3: [15, 1170] from Operation: 1264-94=1170 Current State: 78:[15, 1170], Operations: ['79*16=1264', '1264-94=1170'] Exploring Operation: 1170/15=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 33, 80, 83, 78 ]
15
[ "78-33=45", "83-80=3", "45/3=15" ]
Current State: 15:[33, 80, 83, 78], Operations: [] Exploring Operation: 78-33=45, Resulting Numbers: [80, 83, 45] Generated Node #2: [80, 83, 45] from Operation: 78-33=45 Current State: 15:[80, 83, 45], Operations: ['78-33=45'] Exploring Operation: 83-80=3, Resulting Numbers: [45, 3] Generated Node #3: [45, 3] from Operation: 83-80=3 Current State: 15:[45, 3], Operations: ['78-33=45', '83-80=3'] Exploring Operation: 45/3=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 72, 42, 49, 4 ]
76
[ "72-42=30", "49-30=19", "4*19=76" ]
Current State: 76:[72, 42, 49, 4], Operations: [] Exploring Operation: 72-42=30, Resulting Numbers: [49, 4, 30] Generated Node #2: [49, 4, 30] from Operation: 72-42=30 Current State: 76:[49, 4, 30], Operations: ['72-42=30'] Exploring Operation: 49-30=19, Resulting Numbers: [4, 19] Generated Node #3: [4, 19] from Operation: 49-30=19 Current State: 76:[4, 19], Operations: ['72-42=30', '49-30=19'] Exploring Operation: 4*19=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 8, 27, 26, 31 ]
22
[ "8+27=35", "26+31=57", "57-35=22" ]
Current State: 22:[8, 27, 26, 31], Operations: [] Exploring Operation: 8+27=35, Resulting Numbers: [26, 31, 35] Generated Node #2: [26, 31, 35] from Operation: 8+27=35 Current State: 22:[26, 31, 35], Operations: ['8+27=35'] Exploring Operation: 26+31=57, Resulting Numbers: [35, 57] Generated Node #3: [35, 57] from Operation: 26+31=57 Current State: 22:[35, 57], Operations: ['8+27=35', '26+31=57'] Exploring Operation: 57-35=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 64, 8, 54, 58 ]
22
[ "64+54=118", "58+118=176", "176/8=22" ]
Current State: 22:[64, 8, 54, 58], Operations: [] Exploring Operation: 64+54=118, Resulting Numbers: [8, 58, 118] Generated Node #2: [8, 58, 118] from Operation: 64+54=118 Current State: 22:[8, 58, 118], Operations: ['64+54=118'] Exploring Operation: 58+118=176, Resulting Numbers: [8, 176] Generated Node #3: [8, 176] from Operation: 58+118=176 Current State: 22:[8, 176], Operations: ['64+54=118', '58+118=176'] Exploring Operation: 176/8=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 87, 1, 16, 1 ]
72
[ "87+1=88", "16*1=16", "88-16=72" ]
Current State: 72:[87, 1, 16, 1], Operations: [] Exploring Operation: 87+1=88, Resulting Numbers: [16, 88] Generated Node #2: [16, 88] from Operation: 87+1=88 Current State: 72:[16, 88], Operations: ['87+1=88'] Exploring Operation: 16*1=16, Resulting Numbers: [88, 16] Generated Node #3: [88, 16] from Operation: 16*1=16 Current State: 72:[88, 16], Operations: ['87+1=88', '16*1=16'] Exploring Operation: 88-16=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 56, 34, 20, 3 ]
46
[ "56-34=22", "3*22=66", "66-20=46" ]
Current State: 46:[56, 34, 20, 3], Operations: [] Exploring Operation: 56-34=22, Resulting Numbers: [20, 3, 22] Generated Node #2: [20, 3, 22] from Operation: 56-34=22 Current State: 46:[20, 3, 22], Operations: ['56-34=22'] Exploring Operation: 3*22=66, Resulting Numbers: [20, 66] Generated Node #3: [20, 66] from Operation: 3*22=66 Current State: 46:[20, 66], Operations: ['56-34=22', '3*22=66'] Exploring Operation: 66-20=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4