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
[ 22, 63, 37, 60 ]
45
[ "37-22=15", "63-60=3", "15*3=45" ]
Current State: 45:[22, 63, 37, 60], Operations: [] Exploring Operation: 37-22=15, Resulting Numbers: [63, 60, 15] Generated Node #2: [63, 60, 15] from Operation: 37-22=15 Current State: 45:[63, 60, 15], Operations: ['37-22=15'] Exploring Operation: 63-60=3, Resulting Numbers: [15, 3] Generated Node #3: [15, 3] from Operation: 63-60=3 Current State: 45:[15, 3], Operations: ['37-22=15', '63-60=3'] Exploring Operation: 15*3=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 37, 14, 41, 18 ]
38
[ "41-37=4", "14*4=56", "56-18=38" ]
Current State: 38:[37, 14, 41, 18], Operations: [] Exploring Operation: 41-37=4, Resulting Numbers: [14, 18, 4] Generated Node #2: [14, 18, 4] from Operation: 41-37=4 Current State: 38:[14, 18, 4], Operations: ['41-37=4'] Exploring Operation: 14*4=56, Resulting Numbers: [18, 56] Generated Node #3: [18, 56] from Operation: 14*4=56 Current State: 38:[18, 56], Operations: ['41-37=4', '14*4=56'] Exploring Operation: 56-18=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 36, 80, 59, 84 ]
68
[ "84-80=4", "36/4=9", "59+9=68" ]
Current State: 68:[36, 80, 59, 84], Operations: [] Exploring Operation: 84-80=4, Resulting Numbers: [36, 59, 4] Generated Node #2: [36, 59, 4] from Operation: 84-80=4 Current State: 68:[36, 59, 4], Operations: ['84-80=4'] Exploring Operation: 36/4=9, Resulting Numbers: [59, 9] Generated Node #3: [59, 9] from Operation: 36/4=9 Current State: 68:[59, 9], Operations: ['84-80=4', '36/4=9'] Exploring Operation: 59+9=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 31, 40, 23, 78 ]
46
[ "40-31=9", "78-23=55", "55-9=46" ]
Current State: 46:[31, 40, 23, 78], Operations: [] Exploring Operation: 40-31=9, Resulting Numbers: [23, 78, 9] Generated Node #2: [23, 78, 9] from Operation: 40-31=9 Current State: 46:[23, 78, 9], Operations: ['40-31=9'] Exploring Operation: 78-23=55, Resulting Numbers: [9, 55] Generated Node #3: [9, 55] from Operation: 78-23=55 Current State: 46:[9, 55], Operations: ['40-31=9', '78-23=55'] Exploring Operation: 55-9=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 13, 3, 31, 49 ]
55
[ "31-13=18", "18/3=6", "49+6=55" ]
Current State: 55:[13, 3, 31, 49], Operations: [] Exploring Operation: 31-13=18, Resulting Numbers: [3, 49, 18] Generated Node #2: [3, 49, 18] from Operation: 31-13=18 Current State: 55:[3, 49, 18], Operations: ['31-13=18'] Exploring Operation: 18/3=6, Resulting Numbers: [49, 6] Generated Node #3: [49, 6] from Operation: 18/3=6 Current State: 55:[49, 6], Operations: ['31-13=18', '18/3=6'] Exploring Operation: 49+6=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 85, 87, 47, 11 ]
83
[ "87-85=2", "47*2=94", "94-11=83" ]
Current State: 83:[85, 87, 47, 11], Operations: [] Exploring Operation: 87-85=2, Resulting Numbers: [47, 11, 2] Generated Node #2: [47, 11, 2] from Operation: 87-85=2 Current State: 83:[47, 11, 2], Operations: ['87-85=2'] Exploring Operation: 47*2=94, Resulting Numbers: [11, 94] Generated Node #3: [11, 94] from Operation: 47*2=94 Current State: 83:[11, 94], Operations: ['87-85=2', '47*2=94'] Exploring Operation: 94-11=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 20, 9, 3, 43 ]
21
[ "20+43=63", "9/3=3", "63/3=21" ]
Current State: 21:[20, 9, 3, 43], Operations: [] Exploring Operation: 20+43=63, Resulting Numbers: [9, 3, 63] Generated Node #2: [9, 3, 63] from Operation: 20+43=63 Current State: 21:[9, 3, 63], Operations: ['20+43=63'] Exploring Operation: 9/3=3, Resulting Numbers: [63, 3] Generated Node #3: [63, 3] from Operation: 9/3=3 Current State: 21:[63, 3], Operations: ['20+43=63', '9/3=3'] Exploring Operation: 63/3=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 19, 10, 54, 4 ]
96
[ "19-4=15", "10*15=150", "150-54=96" ]
Current State: 96:[19, 10, 54, 4], Operations: [] Exploring Operation: 19-4=15, Resulting Numbers: [10, 54, 15] Generated Node #2: [10, 54, 15] from Operation: 19-4=15 Current State: 96:[10, 54, 15], Operations: ['19-4=15'] Exploring Operation: 10*15=150, Resulting Numbers: [54, 150] Generated Node #3: [54, 150] from Operation: 10*15=150 Current State: 96:[54, 150], Operations: ['19-4=15', '10*15=150'] Exploring Operation: 150-54=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 27, 42, 64, 7 ]
31
[ "64-27=37", "42/7=6", "37-6=31" ]
Current State: 31:[27, 42, 64, 7], Operations: [] Exploring Operation: 64-27=37, Resulting Numbers: [42, 7, 37] Generated Node #2: [42, 7, 37] from Operation: 64-27=37 Current State: 31:[42, 7, 37], Operations: ['64-27=37'] Exploring Operation: 42/7=6, Resulting Numbers: [37, 6] Generated Node #3: [37, 6] from Operation: 42/7=6 Current State: 31:[37, 6], Operations: ['64-27=37', '42/7=6'] Exploring Operation: 37-6=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 21, 53, 87, 35 ]
29
[ "53-21=32", "35-32=3", "87/3=29" ]
Current State: 29:[21, 53, 87, 35], Operations: [] Exploring Operation: 53-21=32, Resulting Numbers: [87, 35, 32] Generated Node #2: [87, 35, 32] from Operation: 53-21=32 Current State: 29:[87, 35, 32], Operations: ['53-21=32'] Exploring Operation: 35-32=3, Resulting Numbers: [87, 3] Generated Node #3: [87, 3] from Operation: 35-32=3 Current State: 29:[87, 3], Operations: ['53-21=32', '35-32=3'] Exploring Operation: 87/3=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 1, 7, 4, 3 ]
38
[ "1+4=5", "7*5=35", "3+35=38" ]
Current State: 38:[1, 7, 4, 3], Operations: [] Exploring Operation: 1+4=5, Resulting Numbers: [7, 3, 5] Generated Node #2: [7, 3, 5] from Operation: 1+4=5 Current State: 38:[7, 3, 5], Operations: ['1+4=5'] Exploring Operation: 7*5=35, Resulting Numbers: [3, 35] Generated Node #3: [3, 35] from Operation: 7*5=35 Current State: 38:[3, 35], Operations: ['1+4=5', '7*5=35'] Exploring Operation: 3+35=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 27, 63, 91, 72 ]
71
[ "27+63=90", "91-72=19", "90-19=71" ]
Current State: 71:[27, 63, 91, 72], Operations: [] Exploring Operation: 27+63=90, Resulting Numbers: [91, 72, 90] Generated Node #2: [91, 72, 90] from Operation: 27+63=90 Current State: 71:[91, 72, 90], Operations: ['27+63=90'] Exploring Operation: 91-72=19, Resulting Numbers: [90, 19] Generated Node #3: [90, 19] from Operation: 91-72=19 Current State: 71:[90, 19], Operations: ['27+63=90', '91-72=19'] Exploring Operation: 90-19=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 89, 91, 8, 83 ]
43
[ "89-83=6", "8*6=48", "91-48=43" ]
Current State: 43:[89, 91, 8, 83], Operations: [] Exploring Operation: 89-83=6, Resulting Numbers: [91, 8, 6] Generated Node #2: [91, 8, 6] from Operation: 89-83=6 Current State: 43:[91, 8, 6], Operations: ['89-83=6'] Exploring Operation: 8*6=48, Resulting Numbers: [91, 48] Generated Node #3: [91, 48] from Operation: 8*6=48 Current State: 43:[91, 48], Operations: ['89-83=6', '8*6=48'] Exploring Operation: 91-48=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 6, 81, 84, 65 ]
30
[ "84/6=14", "81-65=16", "14+16=30" ]
Current State: 30:[6, 81, 84, 65], Operations: [] Exploring Operation: 84/6=14, Resulting Numbers: [81, 65, 14] Generated Node #2: [81, 65, 14] from Operation: 84/6=14 Current State: 30:[81, 65, 14], Operations: ['84/6=14'] Exploring Operation: 81-65=16, Resulting Numbers: [14, 16] Generated Node #3: [14, 16] from Operation: 81-65=16 Current State: 30:[14, 16], Operations: ['84/6=14', '81-65=16'] Exploring Operation: 14+16=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 59, 29, 97, 97 ]
87
[ "59+29=88", "97/97=1", "88-1=87" ]
Current State: 87:[59, 29, 97, 97], Operations: [] Exploring Operation: 59+29=88, Resulting Numbers: [97, 97, 88] Generated Node #2: [97, 97, 88] from Operation: 59+29=88 Current State: 87:[97, 97, 88], Operations: ['59+29=88'] Exploring Operation: 97/97=1, Resulting Numbers: [88, 1] Generated Node #3: [88, 1] from Operation: 97/97=1 Current State: 87:[88, 1], Operations: ['59+29=88', '97/97=1'] Exploring Operation: 88-1=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 90, 81, 31, 87 ]
46
[ "87-81=6", "90/6=15", "31+15=46" ]
Current State: 46:[90, 81, 31, 87], Operations: [] Exploring Operation: 87-81=6, Resulting Numbers: [90, 31, 6] Generated Node #2: [90, 31, 6] from Operation: 87-81=6 Current State: 46:[90, 31, 6], Operations: ['87-81=6'] Exploring Operation: 90/6=15, Resulting Numbers: [31, 15] Generated Node #3: [31, 15] from Operation: 90/6=15 Current State: 46:[31, 15], Operations: ['87-81=6', '90/6=15'] Exploring Operation: 31+15=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 9, 32, 26, 90 ]
22
[ "9*90=810", "32*26=832", "832-810=22" ]
Current State: 22:[9, 32, 26, 90], Operations: [] Exploring Operation: 9*90=810, Resulting Numbers: [32, 26, 810] Generated Node #2: [32, 26, 810] from Operation: 9*90=810 Current State: 22:[32, 26, 810], Operations: ['9*90=810'] Exploring Operation: 32*26=832, Resulting Numbers: [810, 832] Generated Node #3: [810, 832] from Operation: 32*26=832 Current State: 22:[810, 832], Operations: ['9*90=810', '32*26=832'] Exploring Operation: 832-810=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 90, 21, 68, 42 ]
24
[ "90-68=22", "42/21=2", "22+2=24" ]
Current State: 24:[90, 21, 68, 42], Operations: [] Exploring Operation: 90-68=22, Resulting Numbers: [21, 42, 22] Generated Node #2: [21, 42, 22] from Operation: 90-68=22 Current State: 24:[21, 42, 22], Operations: ['90-68=22'] Exploring Operation: 42/21=2, Resulting Numbers: [22, 2] Generated Node #3: [22, 2] from Operation: 42/21=2 Current State: 24:[22, 2], Operations: ['90-68=22', '42/21=2'] Exploring Operation: 22+2=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 88, 55, 5, 79 ]
41
[ "88-55=33", "79-5=74", "74-33=41" ]
Current State: 41:[88, 55, 5, 79], Operations: [] Exploring Operation: 88-55=33, Resulting Numbers: [5, 79, 33] Generated Node #2: [5, 79, 33] from Operation: 88-55=33 Current State: 41:[5, 79, 33], Operations: ['88-55=33'] Exploring Operation: 79-5=74, Resulting Numbers: [33, 74] Generated Node #3: [33, 74] from Operation: 79-5=74 Current State: 41:[33, 74], Operations: ['88-55=33', '79-5=74'] Exploring Operation: 74-33=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 83, 11, 9, 2 ]
48
[ "83-9=74", "74/2=37", "11+37=48" ]
Current State: 48:[83, 11, 9, 2], Operations: [] Exploring Operation: 83-9=74, Resulting Numbers: [11, 2, 74] Generated Node #2: [11, 2, 74] from Operation: 83-9=74 Current State: 48:[11, 2, 74], Operations: ['83-9=74'] Exploring Operation: 74/2=37, Resulting Numbers: [11, 37] Generated Node #3: [11, 37] from Operation: 74/2=37 Current State: 48:[11, 37], Operations: ['83-9=74', '74/2=37'] Exploring Operation: 11+37=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 49, 87, 87, 32 ]
49
[ "87-87=0", "32*0=0", "49+0=49" ]
Current State: 49:[49, 87, 87, 32], Operations: [] Exploring Operation: 87-87=0, Resulting Numbers: [49, 32, 0] Generated Node #2: [49, 32, 0] from Operation: 87-87=0 Current State: 49:[49, 32, 0], Operations: ['87-87=0'] Exploring Operation: 32*0=0, Resulting Numbers: [49, 0] Generated Node #3: [49, 0] from Operation: 32*0=0 Current State: 49:[49, 0], Operations: ['87-87=0', '32*0=0'] Exploring Operation: 49+0=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 73, 9, 20, 2 ]
64
[ "73+9=82", "20-2=18", "82-18=64" ]
Current State: 64:[73, 9, 20, 2], Operations: [] Exploring Operation: 73+9=82, Resulting Numbers: [20, 2, 82] Generated Node #2: [20, 2, 82] from Operation: 73+9=82 Current State: 64:[20, 2, 82], Operations: ['73+9=82'] Exploring Operation: 20-2=18, Resulting Numbers: [82, 18] Generated Node #3: [82, 18] from Operation: 20-2=18 Current State: 64:[82, 18], Operations: ['73+9=82', '20-2=18'] Exploring Operation: 82-18=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 24, 23, 72, 36 ]
56
[ "72/24=3", "23+36=59", "59-3=56" ]
Current State: 56:[24, 23, 72, 36], Operations: [] Exploring Operation: 72/24=3, Resulting Numbers: [23, 36, 3] Generated Node #2: [23, 36, 3] from Operation: 72/24=3 Current State: 56:[23, 36, 3], Operations: ['72/24=3'] Exploring Operation: 23+36=59, Resulting Numbers: [3, 59] Generated Node #3: [3, 59] from Operation: 23+36=59 Current State: 56:[3, 59], Operations: ['72/24=3', '23+36=59'] Exploring Operation: 59-3=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 99, 6, 67, 63 ]
89
[ "99-6=93", "67-63=4", "93-4=89" ]
Current State: 89:[99, 6, 67, 63], Operations: [] Exploring Operation: 99-6=93, Resulting Numbers: [67, 63, 93] Generated Node #2: [67, 63, 93] from Operation: 99-6=93 Current State: 89:[67, 63, 93], Operations: ['99-6=93'] Exploring Operation: 67-63=4, Resulting Numbers: [93, 4] Generated Node #3: [93, 4] from Operation: 67-63=4 Current State: 89:[93, 4], Operations: ['99-6=93', '67-63=4'] Exploring Operation: 93-4=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 17, 90, 6, 8 ]
75
[ "90-17=73", "8-6=2", "73+2=75" ]
Current State: 75:[17, 90, 6, 8], Operations: [] Exploring Operation: 90-17=73, Resulting Numbers: [6, 8, 73] Generated Node #2: [6, 8, 73] from Operation: 90-17=73 Current State: 75:[6, 8, 73], Operations: ['90-17=73'] Exploring Operation: 8-6=2, Resulting Numbers: [73, 2] Generated Node #3: [73, 2] from Operation: 8-6=2 Current State: 75:[73, 2], Operations: ['90-17=73', '8-6=2'] Exploring Operation: 73+2=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 6, 3, 7, 62 ]
46
[ "6+3=9", "62-7=55", "55-9=46" ]
Current State: 46:[6, 3, 7, 62], Operations: [] Exploring Operation: 6+3=9, Resulting Numbers: [7, 62, 9] Generated Node #2: [7, 62, 9] from Operation: 6+3=9 Current State: 46:[7, 62, 9], Operations: ['6+3=9'] Exploring Operation: 62-7=55, Resulting Numbers: [9, 55] Generated Node #3: [9, 55] from Operation: 62-7=55 Current State: 46:[9, 55], Operations: ['6+3=9', '62-7=55'] Exploring Operation: 55-9=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 99, 78, 43, 52 ]
23
[ "99*52=5148", "5148/78=66", "66-43=23" ]
Current State: 23:[99, 78, 43, 52], Operations: [] Exploring Operation: 99*52=5148, Resulting Numbers: [78, 43, 5148] Generated Node #2: [78, 43, 5148] from Operation: 99*52=5148 Current State: 23:[78, 43, 5148], Operations: ['99*52=5148'] Exploring Operation: 5148/78=66, Resulting Numbers: [43, 66] Generated Node #3: [43, 66] from Operation: 5148/78=66 Current State: 23:[43, 66], Operations: ['99*52=5148', '5148/78=66'] Exploring Operation: 66-43=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 76, 8, 77, 60 ]
60
[ "76+60=136", "136/8=17", "77-17=60" ]
Current State: 60:[76, 8, 77, 60], Operations: [] Exploring Operation: 76+60=136, Resulting Numbers: [8, 77, 136] Generated Node #2: [8, 77, 136] from Operation: 76+60=136 Current State: 60:[8, 77, 136], Operations: ['76+60=136'] Exploring Operation: 136/8=17, Resulting Numbers: [77, 17] Generated Node #3: [77, 17] from Operation: 136/8=17 Current State: 60:[77, 17], Operations: ['76+60=136', '136/8=17'] Exploring Operation: 77-17=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 71, 48, 88, 20 ]
45
[ "71-48=23", "88-20=68", "68-23=45" ]
Current State: 45:[71, 48, 88, 20], Operations: [] Exploring Operation: 71-48=23, Resulting Numbers: [88, 20, 23] Generated Node #2: [88, 20, 23] from Operation: 71-48=23 Current State: 45:[88, 20, 23], Operations: ['71-48=23'] Exploring Operation: 88-20=68, Resulting Numbers: [23, 68] Generated Node #3: [23, 68] from Operation: 88-20=68 Current State: 45:[23, 68], Operations: ['71-48=23', '88-20=68'] Exploring Operation: 68-23=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 38, 99, 8, 97 ]
54
[ "99-97=2", "8*2=16", "38+16=54" ]
Current State: 54:[38, 99, 8, 97], Operations: [] Exploring Operation: 99-97=2, Resulting Numbers: [38, 8, 2] Generated Node #2: [38, 8, 2] from Operation: 99-97=2 Current State: 54:[38, 8, 2], Operations: ['99-97=2'] Exploring Operation: 8*2=16, Resulting Numbers: [38, 16] Generated Node #3: [38, 16] from Operation: 8*2=16 Current State: 54:[38, 16], Operations: ['99-97=2', '8*2=16'] Exploring Operation: 38+16=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 45, 52, 61, 15 ]
44
[ "52-45=7", "15*7=105", "105-61=44" ]
Current State: 44:[45, 52, 61, 15], Operations: [] Exploring Operation: 52-45=7, Resulting Numbers: [61, 15, 7] Generated Node #2: [61, 15, 7] from Operation: 52-45=7 Current State: 44:[61, 15, 7], Operations: ['52-45=7'] Exploring Operation: 15*7=105, Resulting Numbers: [61, 105] Generated Node #3: [61, 105] from Operation: 15*7=105 Current State: 44:[61, 105], Operations: ['52-45=7', '15*7=105'] Exploring Operation: 105-61=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 45, 57, 86, 62 ]
78
[ "45+57=102", "86-62=24", "102-24=78" ]
Current State: 78:[45, 57, 86, 62], Operations: [] Exploring Operation: 45+57=102, Resulting Numbers: [86, 62, 102] Generated Node #2: [86, 62, 102] from Operation: 45+57=102 Current State: 78:[86, 62, 102], Operations: ['45+57=102'] Exploring Operation: 86-62=24, Resulting Numbers: [102, 24] Generated Node #3: [102, 24] from Operation: 86-62=24 Current State: 78:[102, 24], Operations: ['45+57=102', '86-62=24'] Exploring Operation: 102-24=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 67, 37, 50, 6 ]
11
[ "50-37=13", "6*13=78", "78-67=11" ]
Current State: 11:[67, 37, 50, 6], Operations: [] Exploring Operation: 50-37=13, Resulting Numbers: [67, 6, 13] Generated Node #2: [67, 6, 13] from Operation: 50-37=13 Current State: 11:[67, 6, 13], Operations: ['50-37=13'] Exploring Operation: 6*13=78, Resulting Numbers: [67, 78] Generated Node #3: [67, 78] from Operation: 6*13=78 Current State: 11:[67, 78], Operations: ['50-37=13', '6*13=78'] Exploring Operation: 78-67=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 92, 10, 7, 83 ]
11
[ "92*10=920", "920-7=913", "913/83=11" ]
Current State: 11:[92, 10, 7, 83], Operations: [] Exploring Operation: 92*10=920, Resulting Numbers: [7, 83, 920] Generated Node #2: [7, 83, 920] from Operation: 92*10=920 Current State: 11:[7, 83, 920], Operations: ['92*10=920'] Exploring Operation: 920-7=913, Resulting Numbers: [83, 913] Generated Node #3: [83, 913] from Operation: 920-7=913 Current State: 11:[83, 913], Operations: ['92*10=920', '920-7=913'] Exploring Operation: 913/83=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 77, 24, 10, 7 ]
69
[ "10-7=3", "24/3=8", "77-8=69" ]
Current State: 69:[77, 24, 10, 7], Operations: [] Exploring Operation: 10-7=3, Resulting Numbers: [77, 24, 3] Generated Node #2: [77, 24, 3] from Operation: 10-7=3 Current State: 69:[77, 24, 3], Operations: ['10-7=3'] Exploring Operation: 24/3=8, Resulting Numbers: [77, 8] Generated Node #3: [77, 8] from Operation: 24/3=8 Current State: 69:[77, 8], Operations: ['10-7=3', '24/3=8'] Exploring Operation: 77-8=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 4, 18, 81, 85 ]
76
[ "4*18=72", "85-81=4", "72+4=76" ]
Current State: 76:[4, 18, 81, 85], Operations: [] Exploring Operation: 4*18=72, Resulting Numbers: [81, 85, 72] Generated Node #2: [81, 85, 72] from Operation: 4*18=72 Current State: 76:[81, 85, 72], Operations: ['4*18=72'] Exploring Operation: 85-81=4, Resulting Numbers: [72, 4] Generated Node #3: [72, 4] from Operation: 85-81=4 Current State: 76:[72, 4], Operations: ['4*18=72', '85-81=4'] Exploring Operation: 72+4=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 33, 18, 31, 97 ]
51
[ "33-18=15", "97-31=66", "66-15=51" ]
Current State: 51:[33, 18, 31, 97], Operations: [] Exploring Operation: 33-18=15, Resulting Numbers: [31, 97, 15] Generated Node #2: [31, 97, 15] from Operation: 33-18=15 Current State: 51:[31, 97, 15], Operations: ['33-18=15'] Exploring Operation: 97-31=66, Resulting Numbers: [15, 66] Generated Node #3: [15, 66] from Operation: 97-31=66 Current State: 51:[15, 66], Operations: ['33-18=15', '97-31=66'] Exploring Operation: 66-15=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 14, 50, 75, 9 ]
99
[ "14+50=64", "75-64=11", "9*11=99" ]
Current State: 99:[14, 50, 75, 9], Operations: [] Exploring Operation: 14+50=64, Resulting Numbers: [75, 9, 64] Generated Node #2: [75, 9, 64] from Operation: 14+50=64 Current State: 99:[75, 9, 64], Operations: ['14+50=64'] Exploring Operation: 75-64=11, Resulting Numbers: [9, 11] Generated Node #3: [9, 11] from Operation: 75-64=11 Current State: 99:[9, 11], Operations: ['14+50=64', '75-64=11'] Exploring Operation: 9*11=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 9, 66, 93, 11 ]
62
[ "9*11=99", "66*93=6138", "6138/99=62" ]
Current State: 62:[9, 66, 93, 11], Operations: [] Exploring Operation: 9*11=99, Resulting Numbers: [66, 93, 99] Generated Node #2: [66, 93, 99] from Operation: 9*11=99 Current State: 62:[66, 93, 99], Operations: ['9*11=99'] Exploring Operation: 66*93=6138, Resulting Numbers: [99, 6138] Generated Node #3: [99, 6138] from Operation: 66*93=6138 Current State: 62:[99, 6138], Operations: ['9*11=99', '66*93=6138'] Exploring Operation: 6138/99=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 56, 29, 93, 42 ]
78
[ "56-29=27", "93-42=51", "27+51=78" ]
Current State: 78:[56, 29, 93, 42], Operations: [] Exploring Operation: 56-29=27, Resulting Numbers: [93, 42, 27] Generated Node #2: [93, 42, 27] from Operation: 56-29=27 Current State: 78:[93, 42, 27], Operations: ['56-29=27'] Exploring Operation: 93-42=51, Resulting Numbers: [27, 51] Generated Node #3: [27, 51] from Operation: 93-42=51 Current State: 78:[27, 51], Operations: ['56-29=27', '93-42=51'] Exploring Operation: 27+51=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 47, 24, 82, 88 ]
99
[ "47+24=71", "82+88=170", "170-71=99" ]
Current State: 99:[47, 24, 82, 88], Operations: [] Exploring Operation: 47+24=71, Resulting Numbers: [82, 88, 71] Generated Node #2: [82, 88, 71] from Operation: 47+24=71 Current State: 99:[82, 88, 71], Operations: ['47+24=71'] Exploring Operation: 82+88=170, Resulting Numbers: [71, 170] Generated Node #3: [71, 170] from Operation: 82+88=170 Current State: 99:[71, 170], Operations: ['47+24=71', '82+88=170'] Exploring Operation: 170-71=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 30, 76, 6, 88 ]
15
[ "30*6=180", "88-76=12", "180/12=15" ]
Current State: 15:[30, 76, 6, 88], Operations: [] Exploring Operation: 30*6=180, Resulting Numbers: [76, 88, 180] Generated Node #2: [76, 88, 180] from Operation: 30*6=180 Current State: 15:[76, 88, 180], Operations: ['30*6=180'] Exploring Operation: 88-76=12, Resulting Numbers: [180, 12] Generated Node #3: [180, 12] from Operation: 88-76=12 Current State: 15:[180, 12], Operations: ['30*6=180', '88-76=12'] Exploring Operation: 180/12=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 65, 15, 39, 81 ]
56
[ "65*15=975", "975/39=25", "81-25=56" ]
Current State: 56:[65, 15, 39, 81], Operations: [] Exploring Operation: 65*15=975, Resulting Numbers: [39, 81, 975] Generated Node #2: [39, 81, 975] from Operation: 65*15=975 Current State: 56:[39, 81, 975], Operations: ['65*15=975'] Exploring Operation: 975/39=25, Resulting Numbers: [81, 25] Generated Node #3: [81, 25] from Operation: 975/39=25 Current State: 56:[81, 25], Operations: ['65*15=975', '975/39=25'] Exploring Operation: 81-25=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 44, 64, 29, 76 ]
31
[ "76-44=32", "64/32=2", "29+2=31" ]
Current State: 31:[44, 64, 29, 76], Operations: [] Exploring Operation: 76-44=32, Resulting Numbers: [64, 29, 32] Generated Node #2: [64, 29, 32] from Operation: 76-44=32 Current State: 31:[64, 29, 32], Operations: ['76-44=32'] Exploring Operation: 64/32=2, Resulting Numbers: [29, 2] Generated Node #3: [29, 2] from Operation: 64/32=2 Current State: 31:[29, 2], Operations: ['76-44=32', '64/32=2'] Exploring Operation: 29+2=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 63, 47, 16, 49 ]
77
[ "63+47=110", "49-16=33", "110-33=77" ]
Current State: 77:[63, 47, 16, 49], Operations: [] Exploring Operation: 63+47=110, Resulting Numbers: [16, 49, 110] Generated Node #2: [16, 49, 110] from Operation: 63+47=110 Current State: 77:[16, 49, 110], Operations: ['63+47=110'] Exploring Operation: 49-16=33, Resulting Numbers: [110, 33] Generated Node #3: [110, 33] from Operation: 49-16=33 Current State: 77:[110, 33], Operations: ['63+47=110', '49-16=33'] Exploring Operation: 110-33=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 93, 82, 96, 8 ]
71
[ "93+82=175", "96+8=104", "175-104=71" ]
Current State: 71:[93, 82, 96, 8], Operations: [] Exploring Operation: 93+82=175, Resulting Numbers: [96, 8, 175] Generated Node #2: [96, 8, 175] from Operation: 93+82=175 Current State: 71:[96, 8, 175], Operations: ['93+82=175'] Exploring Operation: 96+8=104, Resulting Numbers: [175, 104] Generated Node #3: [175, 104] from Operation: 96+8=104 Current State: 71:[175, 104], Operations: ['93+82=175', '96+8=104'] Exploring Operation: 175-104=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 56, 2, 46, 32 ]
26
[ "56-46=10", "32/2=16", "10+16=26" ]
Current State: 26:[56, 2, 46, 32], Operations: [] Exploring Operation: 56-46=10, Resulting Numbers: [2, 32, 10] Generated Node #2: [2, 32, 10] from Operation: 56-46=10 Current State: 26:[2, 32, 10], Operations: ['56-46=10'] Exploring Operation: 32/2=16, Resulting Numbers: [10, 16] Generated Node #3: [10, 16] from Operation: 32/2=16 Current State: 26:[10, 16], Operations: ['56-46=10', '32/2=16'] Exploring Operation: 10+16=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 37, 96, 79, 4 ]
31
[ "96-79=17", "4*17=68", "68-37=31" ]
Current State: 31:[37, 96, 79, 4], Operations: [] Exploring Operation: 96-79=17, Resulting Numbers: [37, 4, 17] Generated Node #2: [37, 4, 17] from Operation: 96-79=17 Current State: 31:[37, 4, 17], Operations: ['96-79=17'] Exploring Operation: 4*17=68, Resulting Numbers: [37, 68] Generated Node #3: [37, 68] from Operation: 4*17=68 Current State: 31:[37, 68], Operations: ['96-79=17', '4*17=68'] Exploring Operation: 68-37=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 26, 27, 54, 5 ]
55
[ "26+54=80", "27*5=135", "135-80=55" ]
Current State: 55:[26, 27, 54, 5], Operations: [] Exploring Operation: 26+54=80, Resulting Numbers: [27, 5, 80] Generated Node #2: [27, 5, 80] from Operation: 26+54=80 Current State: 55:[27, 5, 80], Operations: ['26+54=80'] Exploring Operation: 27*5=135, Resulting Numbers: [80, 135] Generated Node #3: [80, 135] from Operation: 27*5=135 Current State: 55:[80, 135], Operations: ['26+54=80', '27*5=135'] Exploring Operation: 135-80=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 83, 8, 55, 84 ]
48
[ "83+8=91", "55+84=139", "139-91=48" ]
Current State: 48:[83, 8, 55, 84], Operations: [] Exploring Operation: 83+8=91, Resulting Numbers: [55, 84, 91] Generated Node #2: [55, 84, 91] from Operation: 83+8=91 Current State: 48:[55, 84, 91], Operations: ['83+8=91'] Exploring Operation: 55+84=139, Resulting Numbers: [91, 139] Generated Node #3: [91, 139] from Operation: 55+84=139 Current State: 48:[91, 139], Operations: ['83+8=91', '55+84=139'] Exploring Operation: 139-91=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 19, 87, 2, 15 ]
98
[ "87-19=68", "2*15=30", "68+30=98" ]
Current State: 98:[19, 87, 2, 15], Operations: [] Exploring Operation: 87-19=68, Resulting Numbers: [2, 15, 68] Generated Node #2: [2, 15, 68] from Operation: 87-19=68 Current State: 98:[2, 15, 68], Operations: ['87-19=68'] Exploring Operation: 2*15=30, Resulting Numbers: [68, 30] Generated Node #3: [68, 30] from Operation: 2*15=30 Current State: 98:[68, 30], Operations: ['87-19=68', '2*15=30'] Exploring Operation: 68+30=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 93, 24, 39, 32 ]
62
[ "93-24=69", "39-32=7", "69-7=62" ]
Current State: 62:[93, 24, 39, 32], Operations: [] Exploring Operation: 93-24=69, Resulting Numbers: [39, 32, 69] Generated Node #2: [39, 32, 69] from Operation: 93-24=69 Current State: 62:[39, 32, 69], Operations: ['93-24=69'] Exploring Operation: 39-32=7, Resulting Numbers: [69, 7] Generated Node #3: [69, 7] from Operation: 39-32=7 Current State: 62:[69, 7], Operations: ['93-24=69', '39-32=7'] Exploring Operation: 69-7=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 22, 37, 3, 89 ]
33
[ "22+37=59", "3+89=92", "92-59=33" ]
Current State: 33:[22, 37, 3, 89], Operations: [] Exploring Operation: 22+37=59, Resulting Numbers: [3, 89, 59] Generated Node #2: [3, 89, 59] from Operation: 22+37=59 Current State: 33:[3, 89, 59], Operations: ['22+37=59'] Exploring Operation: 3+89=92, Resulting Numbers: [59, 92] Generated Node #3: [59, 92] from Operation: 3+89=92 Current State: 33:[59, 92], Operations: ['22+37=59', '3+89=92'] Exploring Operation: 92-59=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 14, 7, 63, 23 ]
55
[ "14*23=322", "63+322=385", "385/7=55" ]
Current State: 55:[14, 7, 63, 23], Operations: [] Exploring Operation: 14*23=322, Resulting Numbers: [7, 63, 322] Generated Node #2: [7, 63, 322] from Operation: 14*23=322 Current State: 55:[7, 63, 322], Operations: ['14*23=322'] Exploring Operation: 63+322=385, Resulting Numbers: [7, 385] Generated Node #3: [7, 385] from Operation: 63+322=385 Current State: 55:[7, 385], Operations: ['14*23=322', '63+322=385'] Exploring Operation: 385/7=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 80, 53, 35, 2 ]
61
[ "80-35=45", "53*2=106", "106-45=61" ]
Current State: 61:[80, 53, 35, 2], Operations: [] Exploring Operation: 80-35=45, Resulting Numbers: [53, 2, 45] Generated Node #2: [53, 2, 45] from Operation: 80-35=45 Current State: 61:[53, 2, 45], Operations: ['80-35=45'] Exploring Operation: 53*2=106, Resulting Numbers: [45, 106] Generated Node #3: [45, 106] from Operation: 53*2=106 Current State: 61:[45, 106], Operations: ['80-35=45', '53*2=106'] Exploring Operation: 106-45=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 16, 76, 44, 66 ]
18
[ "16+76=92", "44+66=110", "110-92=18" ]
Current State: 18:[16, 76, 44, 66], Operations: [] Exploring Operation: 16+76=92, Resulting Numbers: [44, 66, 92] Generated Node #2: [44, 66, 92] from Operation: 16+76=92 Current State: 18:[44, 66, 92], Operations: ['16+76=92'] Exploring Operation: 44+66=110, Resulting Numbers: [92, 110] Generated Node #3: [92, 110] from Operation: 44+66=110 Current State: 18:[92, 110], Operations: ['16+76=92', '44+66=110'] Exploring Operation: 110-92=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 38, 3, 7, 5 ]
98
[ "38-7=31", "3*31=93", "5+93=98" ]
Current State: 98:[38, 3, 7, 5], Operations: [] Exploring Operation: 38-7=31, Resulting Numbers: [3, 5, 31] Generated Node #2: [3, 5, 31] from Operation: 38-7=31 Current State: 98:[3, 5, 31], Operations: ['38-7=31'] Exploring Operation: 3*31=93, Resulting Numbers: [5, 93] Generated Node #3: [5, 93] from Operation: 3*31=93 Current State: 98:[5, 93], Operations: ['38-7=31', '3*31=93'] Exploring Operation: 5+93=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 62, 68, 7, 34 ]
67
[ "62+7=69", "68/34=2", "69-2=67" ]
Current State: 67:[62, 68, 7, 34], Operations: [] Exploring Operation: 62+7=69, Resulting Numbers: [68, 34, 69] Generated Node #2: [68, 34, 69] from Operation: 62+7=69 Current State: 67:[68, 34, 69], Operations: ['62+7=69'] Exploring Operation: 68/34=2, Resulting Numbers: [69, 2] Generated Node #3: [69, 2] from Operation: 68/34=2 Current State: 67:[69, 2], Operations: ['62+7=69', '68/34=2'] Exploring Operation: 69-2=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 14, 15, 51, 43 ]
93
[ "15-14=1", "51+43=94", "94-1=93" ]
Current State: 93:[14, 15, 51, 43], Operations: [] Exploring Operation: 15-14=1, Resulting Numbers: [51, 43, 1] Generated Node #2: [51, 43, 1] from Operation: 15-14=1 Current State: 93:[51, 43, 1], Operations: ['15-14=1'] Exploring Operation: 51+43=94, Resulting Numbers: [1, 94] Generated Node #3: [1, 94] from Operation: 51+43=94 Current State: 93:[1, 94], Operations: ['15-14=1', '51+43=94'] Exploring Operation: 94-1=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 90, 95, 97, 50 ]
42
[ "95-90=5", "97-50=47", "47-5=42" ]
Current State: 42:[90, 95, 97, 50], Operations: [] Exploring Operation: 95-90=5, Resulting Numbers: [97, 50, 5] Generated Node #2: [97, 50, 5] from Operation: 95-90=5 Current State: 42:[97, 50, 5], Operations: ['95-90=5'] Exploring Operation: 97-50=47, Resulting Numbers: [5, 47] Generated Node #3: [5, 47] from Operation: 97-50=47 Current State: 42:[5, 47], Operations: ['95-90=5', '97-50=47'] Exploring Operation: 47-5=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 24, 42, 30, 8 ]
10
[ "42-30=12", "24/12=2", "8+2=10" ]
Current State: 10:[24, 42, 30, 8], Operations: [] Exploring Operation: 42-30=12, Resulting Numbers: [24, 8, 12] Generated Node #2: [24, 8, 12] from Operation: 42-30=12 Current State: 10:[24, 8, 12], Operations: ['42-30=12'] Exploring Operation: 24/12=2, Resulting Numbers: [8, 2] Generated Node #3: [8, 2] from Operation: 24/12=2 Current State: 10:[8, 2], Operations: ['42-30=12', '24/12=2'] Exploring Operation: 8+2=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 68, 11, 15, 70 ]
28
[ "68-11=57", "15+70=85", "85-57=28" ]
Current State: 28:[68, 11, 15, 70], Operations: [] Exploring Operation: 68-11=57, Resulting Numbers: [15, 70, 57] Generated Node #2: [15, 70, 57] from Operation: 68-11=57 Current State: 28:[15, 70, 57], Operations: ['68-11=57'] Exploring Operation: 15+70=85, Resulting Numbers: [57, 85] Generated Node #3: [57, 85] from Operation: 15+70=85 Current State: 28:[57, 85], Operations: ['68-11=57', '15+70=85'] Exploring Operation: 85-57=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 99, 2, 1, 99 ]
98
[ "99*2=198", "1+99=100", "198-100=98" ]
Current State: 98:[99, 2, 1, 99], Operations: [] Exploring Operation: 99*2=198, Resulting Numbers: [1, 198] Generated Node #2: [1, 198] from Operation: 99*2=198 Current State: 98:[1, 198], Operations: ['99*2=198'] Exploring Operation: 1+99=100, Resulting Numbers: [198, 100] Generated Node #3: [198, 100] from Operation: 1+99=100 Current State: 98:[198, 100], Operations: ['99*2=198', '1+99=100'] Exploring Operation: 198-100=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 17, 92, 47, 23 ]
21
[ "17*92=1564", "1564/23=68", "68-47=21" ]
Current State: 21:[17, 92, 47, 23], Operations: [] Exploring Operation: 17*92=1564, Resulting Numbers: [47, 23, 1564] Generated Node #2: [47, 23, 1564] from Operation: 17*92=1564 Current State: 21:[47, 23, 1564], Operations: ['17*92=1564'] Exploring Operation: 1564/23=68, Resulting Numbers: [47, 68] Generated Node #3: [47, 68] from Operation: 1564/23=68 Current State: 21:[47, 68], Operations: ['17*92=1564', '1564/23=68'] Exploring Operation: 68-47=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 54, 9, 87, 89 ]
65
[ "54+9=63", "89-87=2", "63+2=65" ]
Current State: 65:[54, 9, 87, 89], Operations: [] Exploring Operation: 54+9=63, Resulting Numbers: [87, 89, 63] Generated Node #2: [87, 89, 63] from Operation: 54+9=63 Current State: 65:[87, 89, 63], Operations: ['54+9=63'] Exploring Operation: 89-87=2, Resulting Numbers: [63, 2] Generated Node #3: [63, 2] from Operation: 89-87=2 Current State: 65:[63, 2], Operations: ['54+9=63', '89-87=2'] Exploring Operation: 63+2=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 18, 90, 47, 41 ]
83
[ "90/18=5", "47+41=88", "88-5=83" ]
Current State: 83:[18, 90, 47, 41], Operations: [] Exploring Operation: 90/18=5, Resulting Numbers: [47, 41, 5] Generated Node #2: [47, 41, 5] from Operation: 90/18=5 Current State: 83:[47, 41, 5], Operations: ['90/18=5'] Exploring Operation: 47+41=88, Resulting Numbers: [5, 88] Generated Node #3: [5, 88] from Operation: 47+41=88 Current State: 83:[5, 88], Operations: ['90/18=5', '47+41=88'] Exploring Operation: 88-5=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 88, 23, 87, 13 ]
53
[ "87*13=1131", "88+1131=1219", "1219/23=53" ]
Current State: 53:[88, 23, 87, 13], Operations: [] Exploring Operation: 87*13=1131, Resulting Numbers: [88, 23, 1131] Generated Node #2: [88, 23, 1131] from Operation: 87*13=1131 Current State: 53:[88, 23, 1131], Operations: ['87*13=1131'] Exploring Operation: 88+1131=1219, Resulting Numbers: [23, 1219] Generated Node #3: [23, 1219] from Operation: 88+1131=1219 Current State: 53:[23, 1219], Operations: ['87*13=1131', '88+1131=1219'] Exploring Operation: 1219/23=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 22, 50, 63, 32 ]
41
[ "22+50=72", "63-32=31", "72-31=41" ]
Current State: 41:[22, 50, 63, 32], Operations: [] Exploring Operation: 22+50=72, Resulting Numbers: [63, 32, 72] Generated Node #2: [63, 32, 72] from Operation: 22+50=72 Current State: 41:[63, 32, 72], Operations: ['22+50=72'] Exploring Operation: 63-32=31, Resulting Numbers: [72, 31] Generated Node #3: [72, 31] from Operation: 63-32=31 Current State: 41:[72, 31], Operations: ['22+50=72', '63-32=31'] Exploring Operation: 72-31=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 14, 38, 80, 38 ]
93
[ "14+80=94", "38/38=1", "94-1=93" ]
Current State: 93:[14, 38, 80, 38], Operations: [] Exploring Operation: 14+80=94, Resulting Numbers: [38, 38, 94] Generated Node #2: [38, 38, 94] from Operation: 14+80=94 Current State: 93:[38, 38, 94], Operations: ['14+80=94'] Exploring Operation: 38/38=1, Resulting Numbers: [94, 1] Generated Node #3: [94, 1] from Operation: 38/38=1 Current State: 93:[94, 1], Operations: ['14+80=94', '38/38=1'] Exploring Operation: 94-1=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 33, 12, 2, 40 ]
26
[ "40-33=7", "2*7=14", "12+14=26" ]
Current State: 26:[33, 12, 2, 40], Operations: [] Exploring Operation: 40-33=7, Resulting Numbers: [12, 2, 7] Generated Node #2: [12, 2, 7] from Operation: 40-33=7 Current State: 26:[12, 2, 7], Operations: ['40-33=7'] Exploring Operation: 2*7=14, Resulting Numbers: [12, 14] Generated Node #3: [12, 14] from Operation: 2*7=14 Current State: 26:[12, 14], Operations: ['40-33=7', '2*7=14'] Exploring Operation: 12+14=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 40, 91, 91, 26 ]
65
[ "40+26=66", "91/91=1", "66-1=65" ]
Current State: 65:[40, 91, 91, 26], Operations: [] Exploring Operation: 40+26=66, Resulting Numbers: [91, 91, 66] Generated Node #2: [91, 91, 66] from Operation: 40+26=66 Current State: 65:[91, 91, 66], Operations: ['40+26=66'] Exploring Operation: 91/91=1, Resulting Numbers: [66, 1] Generated Node #3: [66, 1] from Operation: 91/91=1 Current State: 65:[66, 1], Operations: ['40+26=66', '91/91=1'] Exploring Operation: 66-1=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 36, 65, 59, 38 ]
44
[ "65-59=6", "36/6=6", "38+6=44" ]
Current State: 44:[36, 65, 59, 38], Operations: [] Exploring Operation: 65-59=6, Resulting Numbers: [36, 38, 6] Generated Node #2: [36, 38, 6] from Operation: 65-59=6 Current State: 44:[36, 38, 6], Operations: ['65-59=6'] Exploring Operation: 36/6=6, Resulting Numbers: [38, 6] Generated Node #3: [38, 6] from Operation: 36/6=6 Current State: 44:[38, 6], Operations: ['65-59=6', '36/6=6'] Exploring Operation: 38+6=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 48, 28, 8, 26 ]
13
[ "48+8=56", "28*26=728", "728/56=13" ]
Current State: 13:[48, 28, 8, 26], Operations: [] Exploring Operation: 48+8=56, Resulting Numbers: [28, 26, 56] Generated Node #2: [28, 26, 56] from Operation: 48+8=56 Current State: 13:[28, 26, 56], Operations: ['48+8=56'] Exploring Operation: 28*26=728, Resulting Numbers: [56, 728] Generated Node #3: [56, 728] from Operation: 28*26=728 Current State: 13:[56, 728], Operations: ['48+8=56', '28*26=728'] Exploring Operation: 728/56=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 62, 58, 90, 64 ]
64
[ "64-62=2", "90-58=32", "2*32=64" ]
Current State: 64:[62, 58, 90, 64], Operations: [] Exploring Operation: 64-62=2, Resulting Numbers: [58, 90, 2] Generated Node #2: [58, 90, 2] from Operation: 64-62=2 Current State: 64:[58, 90, 2], Operations: ['64-62=2'] Exploring Operation: 90-58=32, Resulting Numbers: [2, 32] Generated Node #3: [2, 32] from Operation: 90-58=32 Current State: 64:[2, 32], Operations: ['64-62=2', '90-58=32'] Exploring Operation: 2*32=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 44, 40, 36, 74 ]
85
[ "40-36=4", "44/4=11", "74+11=85" ]
Current State: 85:[44, 40, 36, 74], Operations: [] Exploring Operation: 40-36=4, Resulting Numbers: [44, 74, 4] Generated Node #2: [44, 74, 4] from Operation: 40-36=4 Current State: 85:[44, 74, 4], Operations: ['40-36=4'] Exploring Operation: 44/4=11, Resulting Numbers: [74, 11] Generated Node #3: [74, 11] from Operation: 44/4=11 Current State: 85:[74, 11], Operations: ['40-36=4', '44/4=11'] Exploring Operation: 74+11=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 11, 60, 38, 37 ]
74
[ "60-38=22", "22/11=2", "37*2=74" ]
Current State: 74:[11, 60, 38, 37], Operations: [] Exploring Operation: 60-38=22, Resulting Numbers: [11, 37, 22] Generated Node #2: [11, 37, 22] from Operation: 60-38=22 Current State: 74:[11, 37, 22], Operations: ['60-38=22'] Exploring Operation: 22/11=2, Resulting Numbers: [37, 2] Generated Node #3: [37, 2] from Operation: 22/11=2 Current State: 74:[37, 2], Operations: ['60-38=22', '22/11=2'] Exploring Operation: 37*2=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 38, 34, 50, 41 ]
57
[ "34+41=75", "38*75=2850", "2850/50=57" ]
Current State: 57:[38, 34, 50, 41], Operations: [] Exploring Operation: 34+41=75, Resulting Numbers: [38, 50, 75] Generated Node #2: [38, 50, 75] from Operation: 34+41=75 Current State: 57:[38, 50, 75], Operations: ['34+41=75'] Exploring Operation: 38*75=2850, Resulting Numbers: [50, 2850] Generated Node #3: [50, 2850] from Operation: 38*75=2850 Current State: 57:[50, 2850], Operations: ['34+41=75', '38*75=2850'] Exploring Operation: 2850/50=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 70, 35, 28, 59 ]
90
[ "70/35=2", "59*2=118", "118-28=90" ]
Current State: 90:[70, 35, 28, 59], Operations: [] Exploring Operation: 70/35=2, Resulting Numbers: [28, 59, 2] Generated Node #2: [28, 59, 2] from Operation: 70/35=2 Current State: 90:[28, 59, 2], Operations: ['70/35=2'] Exploring Operation: 59*2=118, Resulting Numbers: [28, 118] Generated Node #3: [28, 118] from Operation: 59*2=118 Current State: 90:[28, 118], Operations: ['70/35=2', '59*2=118'] Exploring Operation: 118-28=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 12, 63, 43, 40 ]
48
[ "63-12=51", "43-40=3", "51-3=48" ]
Current State: 48:[12, 63, 43, 40], Operations: [] Exploring Operation: 63-12=51, Resulting Numbers: [43, 40, 51] Generated Node #2: [43, 40, 51] from Operation: 63-12=51 Current State: 48:[43, 40, 51], Operations: ['63-12=51'] Exploring Operation: 43-40=3, Resulting Numbers: [51, 3] Generated Node #3: [51, 3] from Operation: 43-40=3 Current State: 48:[51, 3], Operations: ['63-12=51', '43-40=3'] Exploring Operation: 51-3=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 3, 93, 22, 37 ]
64
[ "3*22=66", "93+37=130", "130-66=64" ]
Current State: 64:[3, 93, 22, 37], Operations: [] Exploring Operation: 3*22=66, Resulting Numbers: [93, 37, 66] Generated Node #2: [93, 37, 66] from Operation: 3*22=66 Current State: 64:[93, 37, 66], Operations: ['3*22=66'] Exploring Operation: 93+37=130, Resulting Numbers: [66, 130] Generated Node #3: [66, 130] from Operation: 93+37=130 Current State: 64:[66, 130], Operations: ['3*22=66', '93+37=130'] Exploring Operation: 130-66=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 84, 52, 39, 55 ]
67
[ "55-52=3", "84/3=28", "39+28=67" ]
Current State: 67:[84, 52, 39, 55], Operations: [] Exploring Operation: 55-52=3, Resulting Numbers: [84, 39, 3] Generated Node #2: [84, 39, 3] from Operation: 55-52=3 Current State: 67:[84, 39, 3], Operations: ['55-52=3'] Exploring Operation: 84/3=28, Resulting Numbers: [39, 28] Generated Node #3: [39, 28] from Operation: 84/3=28 Current State: 67:[39, 28], Operations: ['55-52=3', '84/3=28'] Exploring Operation: 39+28=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 7, 45, 73, 97 ]
28
[ "7+45=52", "97-73=24", "52-24=28" ]
Current State: 28:[7, 45, 73, 97], Operations: [] Exploring Operation: 7+45=52, Resulting Numbers: [73, 97, 52] Generated Node #2: [73, 97, 52] from Operation: 7+45=52 Current State: 28:[73, 97, 52], Operations: ['7+45=52'] Exploring Operation: 97-73=24, Resulting Numbers: [52, 24] Generated Node #3: [52, 24] from Operation: 97-73=24 Current State: 28:[52, 24], Operations: ['7+45=52', '97-73=24'] Exploring Operation: 52-24=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 66, 65, 4, 18 ]
53
[ "66-18=48", "48/4=12", "65-12=53" ]
Current State: 53:[66, 65, 4, 18], Operations: [] Exploring Operation: 66-18=48, Resulting Numbers: [65, 4, 48] Generated Node #2: [65, 4, 48] from Operation: 66-18=48 Current State: 53:[65, 4, 48], Operations: ['66-18=48'] Exploring Operation: 48/4=12, Resulting Numbers: [65, 12] Generated Node #3: [65, 12] from Operation: 48/4=12 Current State: 53:[65, 12], Operations: ['66-18=48', '48/4=12'] Exploring Operation: 65-12=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 74, 39, 16, 19 ]
78
[ "74+39=113", "16+19=35", "113-35=78" ]
Current State: 78:[74, 39, 16, 19], Operations: [] Exploring Operation: 74+39=113, Resulting Numbers: [16, 19, 113] Generated Node #2: [16, 19, 113] from Operation: 74+39=113 Current State: 78:[16, 19, 113], Operations: ['74+39=113'] Exploring Operation: 16+19=35, Resulting Numbers: [113, 35] Generated Node #3: [113, 35] from Operation: 16+19=35 Current State: 78:[113, 35], Operations: ['74+39=113', '16+19=35'] Exploring Operation: 113-35=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 2, 11, 7, 91 ]
89
[ "11-2=9", "7+91=98", "98-9=89" ]
Current State: 89:[2, 11, 7, 91], Operations: [] Exploring Operation: 11-2=9, Resulting Numbers: [7, 91, 9] Generated Node #2: [7, 91, 9] from Operation: 11-2=9 Current State: 89:[7, 91, 9], Operations: ['11-2=9'] Exploring Operation: 7+91=98, Resulting Numbers: [9, 98] Generated Node #3: [9, 98] from Operation: 7+91=98 Current State: 89:[9, 98], Operations: ['11-2=9', '7+91=98'] Exploring Operation: 98-9=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 50, 37, 51, 63 ]
27
[ "50+37=87", "51+63=114", "114-87=27" ]
Current State: 27:[50, 37, 51, 63], Operations: [] Exploring Operation: 50+37=87, Resulting Numbers: [51, 63, 87] Generated Node #2: [51, 63, 87] from Operation: 50+37=87 Current State: 27:[51, 63, 87], Operations: ['50+37=87'] Exploring Operation: 51+63=114, Resulting Numbers: [87, 114] Generated Node #3: [87, 114] from Operation: 51+63=114 Current State: 27:[87, 114], Operations: ['50+37=87', '51+63=114'] Exploring Operation: 114-87=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 75, 25, 8, 33 ]
19
[ "75/25=3", "33/3=11", "8+11=19" ]
Current State: 19:[75, 25, 8, 33], Operations: [] Exploring Operation: 75/25=3, Resulting Numbers: [8, 33, 3] Generated Node #2: [8, 33, 3] from Operation: 75/25=3 Current State: 19:[8, 33, 3], Operations: ['75/25=3'] Exploring Operation: 33/3=11, Resulting Numbers: [8, 11] Generated Node #3: [8, 11] from Operation: 33/3=11 Current State: 19:[8, 11], Operations: ['75/25=3', '33/3=11'] Exploring Operation: 8+11=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 8, 67, 78, 42 ]
61
[ "67-8=59", "78+42=120", "120-59=61" ]
Current State: 61:[8, 67, 78, 42], Operations: [] Exploring Operation: 67-8=59, Resulting Numbers: [78, 42, 59] Generated Node #2: [78, 42, 59] from Operation: 67-8=59 Current State: 61:[78, 42, 59], Operations: ['67-8=59'] Exploring Operation: 78+42=120, Resulting Numbers: [59, 120] Generated Node #3: [59, 120] from Operation: 78+42=120 Current State: 61:[59, 120], Operations: ['67-8=59', '78+42=120'] Exploring Operation: 120-59=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 34, 33, 53, 57 ]
79
[ "34*53=1802", "33*57=1881", "1881-1802=79" ]
Current State: 79:[34, 33, 53, 57], Operations: [] Exploring Operation: 34*53=1802, Resulting Numbers: [33, 57, 1802] Generated Node #2: [33, 57, 1802] from Operation: 34*53=1802 Current State: 79:[33, 57, 1802], Operations: ['34*53=1802'] Exploring Operation: 33*57=1881, Resulting Numbers: [1802, 1881] Generated Node #3: [1802, 1881] from Operation: 33*57=1881 Current State: 79:[1802, 1881], Operations: ['34*53=1802', '33*57=1881'] Exploring Operation: 1881-1802=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 31, 9, 1, 37 ]
45
[ "31+1=32", "37-32=5", "9*5=45" ]
Current State: 45:[31, 9, 1, 37], Operations: [] Exploring Operation: 31+1=32, Resulting Numbers: [9, 37, 32] Generated Node #2: [9, 37, 32] from Operation: 31+1=32 Current State: 45:[9, 37, 32], Operations: ['31+1=32'] Exploring Operation: 37-32=5, Resulting Numbers: [9, 5] Generated Node #3: [9, 5] from Operation: 37-32=5 Current State: 45:[9, 5], Operations: ['31+1=32', '37-32=5'] Exploring Operation: 9*5=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 86, 89, 50, 91 ]
44
[ "89-86=3", "91-50=41", "3+41=44" ]
Current State: 44:[86, 89, 50, 91], Operations: [] Exploring Operation: 89-86=3, Resulting Numbers: [50, 91, 3] Generated Node #2: [50, 91, 3] from Operation: 89-86=3 Current State: 44:[50, 91, 3], Operations: ['89-86=3'] Exploring Operation: 91-50=41, Resulting Numbers: [3, 41] Generated Node #3: [3, 41] from Operation: 91-50=41 Current State: 44:[3, 41], Operations: ['89-86=3', '91-50=41'] Exploring Operation: 3+41=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 61, 75, 89, 86 ]
92
[ "86-61=25", "75/25=3", "89+3=92" ]
Current State: 92:[61, 75, 89, 86], Operations: [] Exploring Operation: 86-61=25, Resulting Numbers: [75, 89, 25] Generated Node #2: [75, 89, 25] from Operation: 86-61=25 Current State: 92:[75, 89, 25], Operations: ['86-61=25'] Exploring Operation: 75/25=3, Resulting Numbers: [89, 3] Generated Node #3: [89, 3] from Operation: 75/25=3 Current State: 92:[89, 3], Operations: ['86-61=25', '75/25=3'] Exploring Operation: 89+3=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 9, 50, 69, 79 ]
89
[ "9+50=59", "69+79=148", "148-59=89" ]
Current State: 89:[9, 50, 69, 79], Operations: [] Exploring Operation: 9+50=59, Resulting Numbers: [69, 79, 59] Generated Node #2: [69, 79, 59] from Operation: 9+50=59 Current State: 89:[69, 79, 59], Operations: ['9+50=59'] Exploring Operation: 69+79=148, Resulting Numbers: [59, 148] Generated Node #3: [59, 148] from Operation: 69+79=148 Current State: 89:[59, 148], Operations: ['9+50=59', '69+79=148'] Exploring Operation: 148-59=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 69, 88, 89, 69 ]
89
[ "69-69=0", "88*0=0", "89+0=89" ]
Current State: 89:[69, 88, 89, 69], Operations: [] Exploring Operation: 69-69=0, Resulting Numbers: [88, 89, 0] Generated Node #2: [88, 89, 0] from Operation: 69-69=0 Current State: 89:[88, 89, 0], Operations: ['69-69=0'] Exploring Operation: 88*0=0, Resulting Numbers: [89, 0] Generated Node #3: [89, 0] from Operation: 88*0=0 Current State: 89:[89, 0], Operations: ['69-69=0', '88*0=0'] Exploring Operation: 89+0=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 19, 46, 60, 46 ]
42
[ "60-19=41", "46/46=1", "41+1=42" ]
Current State: 42:[19, 46, 60, 46], Operations: [] Exploring Operation: 60-19=41, Resulting Numbers: [46, 46, 41] Generated Node #2: [46, 46, 41] from Operation: 60-19=41 Current State: 42:[46, 46, 41], Operations: ['60-19=41'] Exploring Operation: 46/46=1, Resulting Numbers: [41, 1] Generated Node #3: [41, 1] from Operation: 46/46=1 Current State: 42:[41, 1], Operations: ['60-19=41', '46/46=1'] Exploring Operation: 41+1=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 46, 57, 44, 2 ]
57
[ "46+57=103", "44+2=46", "103-46=57" ]
Current State: 57:[46, 57, 44, 2], Operations: [] Exploring Operation: 46+57=103, Resulting Numbers: [44, 2, 103] Generated Node #2: [44, 2, 103] from Operation: 46+57=103 Current State: 57:[44, 2, 103], Operations: ['46+57=103'] Exploring Operation: 44+2=46, Resulting Numbers: [103, 46] Generated Node #3: [103, 46] from Operation: 44+2=46 Current State: 57:[103, 46], Operations: ['46+57=103', '44+2=46'] Exploring Operation: 103-46=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 15, 37, 18, 87 ]
44
[ "18+87=105", "105/15=7", "37+7=44" ]
Current State: 44:[15, 37, 18, 87], Operations: [] Exploring Operation: 18+87=105, Resulting Numbers: [15, 37, 105] Generated Node #2: [15, 37, 105] from Operation: 18+87=105 Current State: 44:[15, 37, 105], Operations: ['18+87=105'] Exploring Operation: 105/15=7, Resulting Numbers: [37, 7] Generated Node #3: [37, 7] from Operation: 105/15=7 Current State: 44:[37, 7], Operations: ['18+87=105', '105/15=7'] Exploring Operation: 37+7=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 1, 62, 30, 7 ]
86
[ "1+62=63", "30-7=23", "63+23=86" ]
Current State: 86:[1, 62, 30, 7], Operations: [] Exploring Operation: 1+62=63, Resulting Numbers: [30, 7, 63] Generated Node #2: [30, 7, 63] from Operation: 1+62=63 Current State: 86:[30, 7, 63], Operations: ['1+62=63'] Exploring Operation: 30-7=23, Resulting Numbers: [63, 23] Generated Node #3: [63, 23] from Operation: 30-7=23 Current State: 86:[63, 23], Operations: ['1+62=63', '30-7=23'] Exploring Operation: 63+23=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 6, 55, 69, 34 ]
50
[ "69-55=14", "6*14=84", "84-34=50" ]
Current State: 50:[6, 55, 69, 34], Operations: [] Exploring Operation: 69-55=14, Resulting Numbers: [6, 34, 14] Generated Node #2: [6, 34, 14] from Operation: 69-55=14 Current State: 50:[6, 34, 14], Operations: ['69-55=14'] Exploring Operation: 6*14=84, Resulting Numbers: [34, 84] Generated Node #3: [34, 84] from Operation: 6*14=84 Current State: 50:[34, 84], Operations: ['69-55=14', '6*14=84'] Exploring Operation: 84-34=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 30, 31, 61, 27 ]
88
[ "31-30=1", "61+27=88", "1*88=88" ]
Current State: 88:[30, 31, 61, 27], Operations: [] Exploring Operation: 31-30=1, Resulting Numbers: [61, 27, 1] Generated Node #2: [61, 27, 1] from Operation: 31-30=1 Current State: 88:[61, 27, 1], Operations: ['31-30=1'] Exploring Operation: 61+27=88, Resulting Numbers: [1, 88] Generated Node #3: [1, 88] from Operation: 61+27=88 Current State: 88:[1, 88], Operations: ['31-30=1', '61+27=88'] Exploring Operation: 1*88=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4