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
[ 10, 97, 87, 42 ]
62
[ "10+97=107", "87-42=45", "107-45=62" ]
Current State: 62:[10, 97, 87, 42], Operations: [] Exploring Operation: 10+97=107, Resulting Numbers: [87, 42, 107] Generated Node #2: [87, 42, 107] from Operation: 10+97=107 Current State: 62:[87, 42, 107], Operations: ['10+97=107'] Exploring Operation: 87-42=45, Resulting Numbers: [107, 45] Generated Node #3: [107, 45] from Operation: 87-42=45 Current State: 62:[107, 45], Operations: ['10+97=107', '87-42=45'] Exploring Operation: 107-45=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 17, 45, 72, 98 ]
40
[ "98-17=81", "45*72=3240", "3240/81=40" ]
Current State: 40:[17, 45, 72, 98], Operations: [] Exploring Operation: 98-17=81, Resulting Numbers: [45, 72, 81] Generated Node #2: [45, 72, 81] from Operation: 98-17=81 Current State: 40:[45, 72, 81], Operations: ['98-17=81'] Exploring Operation: 45*72=3240, Resulting Numbers: [81, 3240] Generated Node #3: [81, 3240] from Operation: 45*72=3240 Current State: 40:[81, 3240], Operations: ['98-17=81', '45*72=3240'] Exploring Operation: 3240/81=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 7, 50, 16, 34 ]
75
[ "7+50=57", "34-16=18", "57+18=75" ]
Current State: 75:[7, 50, 16, 34], Operations: [] Exploring Operation: 7+50=57, Resulting Numbers: [16, 34, 57] Generated Node #2: [16, 34, 57] from Operation: 7+50=57 Current State: 75:[16, 34, 57], Operations: ['7+50=57'] Exploring Operation: 34-16=18, Resulting Numbers: [57, 18] Generated Node #3: [57, 18] from Operation: 34-16=18 Current State: 75:[57, 18], Operations: ['7+50=57', '34-16=18'] Exploring Operation: 57+18=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 10, 23, 43, 41 ]
71
[ "23-10=13", "43+41=84", "84-13=71" ]
Current State: 71:[10, 23, 43, 41], Operations: [] Exploring Operation: 23-10=13, Resulting Numbers: [43, 41, 13] Generated Node #2: [43, 41, 13] from Operation: 23-10=13 Current State: 71:[43, 41, 13], Operations: ['23-10=13'] Exploring Operation: 43+41=84, Resulting Numbers: [13, 84] Generated Node #3: [13, 84] from Operation: 43+41=84 Current State: 71:[13, 84], Operations: ['23-10=13', '43+41=84'] Exploring Operation: 84-13=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 59, 29, 56, 39 ]
42
[ "59-56=3", "39/3=13", "29+13=42" ]
Current State: 42:[59, 29, 56, 39], Operations: [] Exploring Operation: 59-56=3, Resulting Numbers: [29, 39, 3] Generated Node #2: [29, 39, 3] from Operation: 59-56=3 Current State: 42:[29, 39, 3], Operations: ['59-56=3'] Exploring Operation: 39/3=13, Resulting Numbers: [29, 13] Generated Node #3: [29, 13] from Operation: 39/3=13 Current State: 42:[29, 13], Operations: ['59-56=3', '39/3=13'] Exploring Operation: 29+13=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 20, 82, 61, 82 ]
82
[ "82-20=62", "62-61=1", "82*1=82" ]
Current State: 82:[20, 82, 61, 82], Operations: [] Exploring Operation: 82-20=62, Resulting Numbers: [61, 62] Generated Node #2: [61, 62] from Operation: 82-20=62 Current State: 82:[61, 62], Operations: ['82-20=62'] Exploring Operation: 62-61=1, Resulting Numbers: [1] 1,82 equal: Goal Reached Exploring Operation: 82*1=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 57, 23, 39, 35 ]
76
[ "57+23=80", "39-35=4", "80-4=76" ]
Current State: 76:[57, 23, 39, 35], Operations: [] Exploring Operation: 57+23=80, Resulting Numbers: [39, 35, 80] Generated Node #2: [39, 35, 80] from Operation: 57+23=80 Current State: 76:[39, 35, 80], Operations: ['57+23=80'] Exploring Operation: 39-35=4, Resulting Numbers: [80, 4] Generated Node #3: [80, 4] from Operation: 39-35=4 Current State: 76:[80, 4], Operations: ['57+23=80', '39-35=4'] Exploring Operation: 80-4=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 91, 90, 76, 33 ]
27
[ "91-76=15", "90/15=6", "33-6=27" ]
Current State: 27:[91, 90, 76, 33], Operations: [] Exploring Operation: 91-76=15, Resulting Numbers: [90, 33, 15] Generated Node #2: [90, 33, 15] from Operation: 91-76=15 Current State: 27:[90, 33, 15], Operations: ['91-76=15'] Exploring Operation: 90/15=6, Resulting Numbers: [33, 6] Generated Node #3: [33, 6] from Operation: 90/15=6 Current State: 27:[33, 6], Operations: ['91-76=15', '90/15=6'] Exploring Operation: 33-6=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 88, 20, 22, 69 ]
60
[ "88-22=66", "69-66=3", "20*3=60" ]
Current State: 60:[88, 20, 22, 69], Operations: [] Exploring Operation: 88-22=66, Resulting Numbers: [20, 69, 66] Generated Node #2: [20, 69, 66] from Operation: 88-22=66 Current State: 60:[20, 69, 66], Operations: ['88-22=66'] Exploring Operation: 69-66=3, Resulting Numbers: [20, 3] Generated Node #3: [20, 3] from Operation: 69-66=3 Current State: 60:[20, 3], Operations: ['88-22=66', '69-66=3'] Exploring Operation: 20*3=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 2, 32, 90, 19 ]
96
[ "90/2=45", "32+19=51", "45+51=96" ]
Current State: 96:[2, 32, 90, 19], Operations: [] Exploring Operation: 90/2=45, Resulting Numbers: [32, 19, 45] Generated Node #2: [32, 19, 45] from Operation: 90/2=45 Current State: 96:[32, 19, 45], Operations: ['90/2=45'] Exploring Operation: 32+19=51, Resulting Numbers: [45, 51] Generated Node #3: [45, 51] from Operation: 32+19=51 Current State: 96:[45, 51], Operations: ['90/2=45', '32+19=51'] Exploring Operation: 45+51=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 27, 35, 2, 72 ]
88
[ "35-27=8", "2*8=16", "72+16=88" ]
Current State: 88:[27, 35, 2, 72], Operations: [] Exploring Operation: 35-27=8, Resulting Numbers: [2, 72, 8] Generated Node #2: [2, 72, 8] from Operation: 35-27=8 Current State: 88:[2, 72, 8], Operations: ['35-27=8'] Exploring Operation: 2*8=16, Resulting Numbers: [72, 16] Generated Node #3: [72, 16] from Operation: 2*8=16 Current State: 88:[72, 16], Operations: ['35-27=8', '2*8=16'] Exploring Operation: 72+16=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 52, 12, 14, 7 ]
97
[ "14-12=2", "52*2=104", "104-7=97" ]
Current State: 97:[52, 12, 14, 7], Operations: [] Exploring Operation: 14-12=2, Resulting Numbers: [52, 7, 2] Generated Node #2: [52, 7, 2] from Operation: 14-12=2 Current State: 97:[52, 7, 2], Operations: ['14-12=2'] Exploring Operation: 52*2=104, Resulting Numbers: [7, 104] Generated Node #3: [7, 104] from Operation: 52*2=104 Current State: 97:[7, 104], Operations: ['14-12=2', '52*2=104'] Exploring Operation: 104-7=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 43, 45, 44, 15 ]
29
[ "43+45=88", "44+15=59", "88-59=29" ]
Current State: 29:[43, 45, 44, 15], Operations: [] Exploring Operation: 43+45=88, Resulting Numbers: [44, 15, 88] Generated Node #2: [44, 15, 88] from Operation: 43+45=88 Current State: 29:[44, 15, 88], Operations: ['43+45=88'] Exploring Operation: 44+15=59, Resulting Numbers: [88, 59] Generated Node #3: [88, 59] from Operation: 44+15=59 Current State: 29:[88, 59], Operations: ['43+45=88', '44+15=59'] Exploring Operation: 88-59=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 70, 50, 36, 51 ]
35
[ "70-50=20", "51-36=15", "20+15=35" ]
Current State: 35:[70, 50, 36, 51], Operations: [] Exploring Operation: 70-50=20, Resulting Numbers: [36, 51, 20] Generated Node #2: [36, 51, 20] from Operation: 70-50=20 Current State: 35:[36, 51, 20], Operations: ['70-50=20'] Exploring Operation: 51-36=15, Resulting Numbers: [20, 15] Generated Node #3: [20, 15] from Operation: 51-36=15 Current State: 35:[20, 15], Operations: ['70-50=20', '51-36=15'] Exploring Operation: 20+15=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 58, 18, 22, 92 ]
94
[ "58-22=36", "36/18=2", "92+2=94" ]
Current State: 94:[58, 18, 22, 92], Operations: [] Exploring Operation: 58-22=36, Resulting Numbers: [18, 92, 36] Generated Node #2: [18, 92, 36] from Operation: 58-22=36 Current State: 94:[18, 92, 36], Operations: ['58-22=36'] Exploring Operation: 36/18=2, Resulting Numbers: [92, 2] Generated Node #3: [92, 2] from Operation: 36/18=2 Current State: 94:[92, 2], Operations: ['58-22=36', '36/18=2'] Exploring Operation: 92+2=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 44, 29, 22, 38 ]
42
[ "44-38=6", "29-22=7", "6*7=42" ]
Current State: 42:[44, 29, 22, 38], Operations: [] Exploring Operation: 44-38=6, Resulting Numbers: [29, 22, 6] Generated Node #2: [29, 22, 6] from Operation: 44-38=6 Current State: 42:[29, 22, 6], Operations: ['44-38=6'] Exploring Operation: 29-22=7, Resulting Numbers: [6, 7] Generated Node #3: [6, 7] from Operation: 29-22=7 Current State: 42:[6, 7], Operations: ['44-38=6', '29-22=7'] Exploring Operation: 6*7=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 42, 25, 54, 59 ]
27
[ "42*54=2268", "25+59=84", "2268/84=27" ]
Current State: 27:[42, 25, 54, 59], Operations: [] Exploring Operation: 42*54=2268, Resulting Numbers: [25, 59, 2268] Generated Node #2: [25, 59, 2268] from Operation: 42*54=2268 Current State: 27:[25, 59, 2268], Operations: ['42*54=2268'] Exploring Operation: 25+59=84, Resulting Numbers: [2268, 84] Generated Node #3: [2268, 84] from Operation: 25+59=84 Current State: 27:[2268, 84], Operations: ['42*54=2268', '25+59=84'] Exploring Operation: 2268/84=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 24, 58, 27, 1 ]
61
[ "58-24=34", "27*1=27", "34+27=61" ]
Current State: 61:[24, 58, 27, 1], Operations: [] Exploring Operation: 58-24=34, Resulting Numbers: [27, 1, 34] Generated Node #2: [27, 1, 34] from Operation: 58-24=34 Current State: 61:[27, 1, 34], Operations: ['58-24=34'] Exploring Operation: 27*1=27, Resulting Numbers: [34, 27] Generated Node #3: [34, 27] from Operation: 27*1=27 Current State: 61:[34, 27], Operations: ['58-24=34', '27*1=27'] Exploring Operation: 34+27=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 57, 5, 80, 4 ]
32
[ "57-5=52", "80+4=84", "84-52=32" ]
Current State: 32:[57, 5, 80, 4], Operations: [] Exploring Operation: 57-5=52, Resulting Numbers: [80, 4, 52] Generated Node #2: [80, 4, 52] from Operation: 57-5=52 Current State: 32:[80, 4, 52], Operations: ['57-5=52'] Exploring Operation: 80+4=84, Resulting Numbers: [52, 84] Generated Node #3: [52, 84] from Operation: 80+4=84 Current State: 32:[52, 84], Operations: ['57-5=52', '80+4=84'] Exploring Operation: 84-52=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 9, 83, 10, 82 ]
100
[ "9+83=92", "92-82=10", "10*10=100" ]
Current State: 100:[9, 83, 10, 82], Operations: [] Exploring Operation: 9+83=92, Resulting Numbers: [10, 82, 92] Generated Node #2: [10, 82, 92] from Operation: 9+83=92 Current State: 100:[10, 82, 92], Operations: ['9+83=92'] Exploring Operation: 92-82=10, Resulting Numbers: [10, 10] Generated Node #3: [10, 10] from Operation: 92-82=10 Current State: 100:[10, 10], Operations: ['9+83=92', '92-82=10'] Exploring Operation: 10*10=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 5, 48, 85, 1 ]
42
[ "48-5=43", "85*1=85", "85-43=42" ]
Current State: 42:[5, 48, 85, 1], Operations: [] Exploring Operation: 48-5=43, Resulting Numbers: [85, 1, 43] Generated Node #2: [85, 1, 43] from Operation: 48-5=43 Current State: 42:[85, 1, 43], Operations: ['48-5=43'] Exploring Operation: 85*1=85, Resulting Numbers: [43, 85] Generated Node #3: [43, 85] from Operation: 85*1=85 Current State: 42:[43, 85], Operations: ['48-5=43', '85*1=85'] Exploring Operation: 85-43=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 87, 96, 99, 55 ]
96
[ "87-55=32", "99-96=3", "32*3=96" ]
Current State: 96:[87, 96, 99, 55], Operations: [] Exploring Operation: 87-55=32, Resulting Numbers: [96, 99, 32] Generated Node #2: [96, 99, 32] from Operation: 87-55=32 Current State: 96:[96, 99, 32], Operations: ['87-55=32'] Exploring Operation: 99-96=3, Resulting Numbers: [32, 3] Generated Node #3: [32, 3] from Operation: 99-96=3 Current State: 96:[32, 3], Operations: ['87-55=32', '99-96=3'] Exploring Operation: 32*3=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 28, 75, 18, 1 ]
50
[ "28-1=27", "75*18=1350", "1350/27=50" ]
Current State: 50:[28, 75, 18, 1], Operations: [] Exploring Operation: 28-1=27, Resulting Numbers: [75, 18, 27] Generated Node #2: [75, 18, 27] from Operation: 28-1=27 Current State: 50:[75, 18, 27], Operations: ['28-1=27'] Exploring Operation: 75*18=1350, Resulting Numbers: [27, 1350] Generated Node #3: [27, 1350] from Operation: 75*18=1350 Current State: 50:[27, 1350], Operations: ['28-1=27', '75*18=1350'] Exploring Operation: 1350/27=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 39, 92, 31, 30 ]
78
[ "92-30=62", "39*62=2418", "2418/31=78" ]
Current State: 78:[39, 92, 31, 30], Operations: [] Exploring Operation: 92-30=62, Resulting Numbers: [39, 31, 62] Generated Node #2: [39, 31, 62] from Operation: 92-30=62 Current State: 78:[39, 31, 62], Operations: ['92-30=62'] Exploring Operation: 39*62=2418, Resulting Numbers: [31, 2418] Generated Node #3: [31, 2418] from Operation: 39*62=2418 Current State: 78:[31, 2418], Operations: ['92-30=62', '39*62=2418'] Exploring Operation: 2418/31=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 54, 76, 47, 31 ]
34
[ "54*31=1674", "1674-76=1598", "1598/47=34" ]
Current State: 34:[54, 76, 47, 31], Operations: [] Exploring Operation: 54*31=1674, Resulting Numbers: [76, 47, 1674] Generated Node #2: [76, 47, 1674] from Operation: 54*31=1674 Current State: 34:[76, 47, 1674], Operations: ['54*31=1674'] Exploring Operation: 1674-76=1598, Resulting Numbers: [47, 1598] Generated Node #3: [47, 1598] from Operation: 1674-76=1598 Current State: 34:[47, 1598], Operations: ['54*31=1674', '1674-76=1598'] Exploring Operation: 1598/47=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 16, 27, 63, 73 ]
53
[ "16+27=43", "73-63=10", "43+10=53" ]
Current State: 53:[16, 27, 63, 73], Operations: [] Exploring Operation: 16+27=43, Resulting Numbers: [63, 73, 43] Generated Node #2: [63, 73, 43] from Operation: 16+27=43 Current State: 53:[63, 73, 43], Operations: ['16+27=43'] Exploring Operation: 73-63=10, Resulting Numbers: [43, 10] Generated Node #3: [43, 10] from Operation: 73-63=10 Current State: 53:[43, 10], Operations: ['16+27=43', '73-63=10'] Exploring Operation: 43+10=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 45, 17, 72, 55 ]
45
[ "45+17=62", "72-55=17", "62-17=45" ]
Current State: 45:[45, 17, 72, 55], Operations: [] Exploring Operation: 45+17=62, Resulting Numbers: [72, 55, 62] Generated Node #2: [72, 55, 62] from Operation: 45+17=62 Current State: 45:[72, 55, 62], Operations: ['45+17=62'] Exploring Operation: 72-55=17, Resulting Numbers: [62, 17] Generated Node #3: [62, 17] from Operation: 72-55=17 Current State: 45:[62, 17], Operations: ['45+17=62', '72-55=17'] Exploring Operation: 62-17=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 3, 85, 17, 21 ]
13
[ "3*17=51", "85-21=64", "64-51=13" ]
Current State: 13:[3, 85, 17, 21], Operations: [] Exploring Operation: 3*17=51, Resulting Numbers: [85, 21, 51] Generated Node #2: [85, 21, 51] from Operation: 3*17=51 Current State: 13:[85, 21, 51], Operations: ['3*17=51'] Exploring Operation: 85-21=64, Resulting Numbers: [51, 64] Generated Node #3: [51, 64] from Operation: 85-21=64 Current State: 13:[51, 64], Operations: ['3*17=51', '85-21=64'] Exploring Operation: 64-51=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 87, 4, 26, 29 ]
90
[ "87/29=3", "4+26=30", "3*30=90" ]
Current State: 90:[87, 4, 26, 29], Operations: [] Exploring Operation: 87/29=3, Resulting Numbers: [4, 26, 3] Generated Node #2: [4, 26, 3] from Operation: 87/29=3 Current State: 90:[4, 26, 3], Operations: ['87/29=3'] Exploring Operation: 4+26=30, Resulting Numbers: [3, 30] Generated Node #3: [3, 30] from Operation: 4+26=30 Current State: 90:[3, 30], Operations: ['87/29=3', '4+26=30'] Exploring Operation: 3*30=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 63, 9, 18, 64 ]
27
[ "64-63=1", "9+18=27", "1*27=27" ]
Current State: 27:[63, 9, 18, 64], Operations: [] Exploring Operation: 64-63=1, Resulting Numbers: [9, 18, 1] Generated Node #2: [9, 18, 1] from Operation: 64-63=1 Current State: 27:[9, 18, 1], Operations: ['64-63=1'] Exploring Operation: 9+18=27, Resulting Numbers: [1, 27] Generated Node #3: [1, 27] from Operation: 9+18=27 Current State: 27:[1, 27], Operations: ['64-63=1', '9+18=27'] Exploring Operation: 1*27=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 40, 5, 41, 45 ]
78
[ "40/5=8", "41+45=86", "86-8=78" ]
Current State: 78:[40, 5, 41, 45], Operations: [] Exploring Operation: 40/5=8, Resulting Numbers: [41, 45, 8] Generated Node #2: [41, 45, 8] from Operation: 40/5=8 Current State: 78:[41, 45, 8], Operations: ['40/5=8'] Exploring Operation: 41+45=86, Resulting Numbers: [8, 86] Generated Node #3: [8, 86] from Operation: 41+45=86 Current State: 78:[8, 86], Operations: ['40/5=8', '41+45=86'] Exploring Operation: 86-8=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 92, 40, 10, 24 ]
40
[ "92*10=920", "40*24=960", "960-920=40" ]
Current State: 40:[92, 40, 10, 24], Operations: [] Exploring Operation: 92*10=920, Resulting Numbers: [40, 24, 920] Generated Node #2: [40, 24, 920] from Operation: 92*10=920 Current State: 40:[40, 24, 920], Operations: ['92*10=920'] Exploring Operation: 40*24=960, Resulting Numbers: [920, 960] Generated Node #3: [920, 960] from Operation: 40*24=960 Current State: 40:[920, 960], Operations: ['92*10=920', '40*24=960'] Exploring Operation: 960-920=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 38, 93, 8, 19 ]
97
[ "93-38=55", "8*19=152", "152-55=97" ]
Current State: 97:[38, 93, 8, 19], Operations: [] Exploring Operation: 93-38=55, Resulting Numbers: [8, 19, 55] Generated Node #2: [8, 19, 55] from Operation: 93-38=55 Current State: 97:[8, 19, 55], Operations: ['93-38=55'] Exploring Operation: 8*19=152, Resulting Numbers: [55, 152] Generated Node #3: [55, 152] from Operation: 8*19=152 Current State: 97:[55, 152], Operations: ['93-38=55', '8*19=152'] Exploring Operation: 152-55=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 71, 20, 8, 85 ]
26
[ "71-20=51", "85-8=77", "77-51=26" ]
Current State: 26:[71, 20, 8, 85], Operations: [] Exploring Operation: 71-20=51, Resulting Numbers: [8, 85, 51] Generated Node #2: [8, 85, 51] from Operation: 71-20=51 Current State: 26:[8, 85, 51], Operations: ['71-20=51'] Exploring Operation: 85-8=77, Resulting Numbers: [51, 77] Generated Node #3: [51, 77] from Operation: 85-8=77 Current State: 26:[51, 77], Operations: ['71-20=51', '85-8=77'] Exploring Operation: 77-51=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 99, 31, 4, 70 ]
45
[ "99+70=169", "31*4=124", "169-124=45" ]
Current State: 45:[99, 31, 4, 70], Operations: [] Exploring Operation: 99+70=169, Resulting Numbers: [31, 4, 169] Generated Node #2: [31, 4, 169] from Operation: 99+70=169 Current State: 45:[31, 4, 169], Operations: ['99+70=169'] Exploring Operation: 31*4=124, Resulting Numbers: [169, 124] Generated Node #3: [169, 124] from Operation: 31*4=124 Current State: 45:[169, 124], Operations: ['99+70=169', '31*4=124'] Exploring Operation: 169-124=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 74, 3, 78, 39 ]
43
[ "78-39=39", "3*39=117", "117-74=43" ]
Current State: 43:[74, 3, 78, 39], Operations: [] Exploring Operation: 78-39=39, Resulting Numbers: [74, 3, 39] Generated Node #2: [74, 3, 39] from Operation: 78-39=39 Current State: 43:[74, 3, 39], Operations: ['78-39=39'] Exploring Operation: 3*39=117, Resulting Numbers: [74, 117] Generated Node #3: [74, 117] from Operation: 3*39=117 Current State: 43:[74, 117], Operations: ['78-39=39', '3*39=117'] Exploring Operation: 117-74=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 2, 14, 48, 13 ]
81
[ "48-14=34", "2*34=68", "13+68=81" ]
Current State: 81:[2, 14, 48, 13], Operations: [] Exploring Operation: 48-14=34, Resulting Numbers: [2, 13, 34] Generated Node #2: [2, 13, 34] from Operation: 48-14=34 Current State: 81:[2, 13, 34], Operations: ['48-14=34'] Exploring Operation: 2*34=68, Resulting Numbers: [13, 68] Generated Node #3: [13, 68] from Operation: 2*34=68 Current State: 81:[13, 68], Operations: ['48-14=34', '2*34=68'] Exploring Operation: 13+68=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 89, 31, 83, 57 ]
82
[ "89-31=58", "83+57=140", "140-58=82" ]
Current State: 82:[89, 31, 83, 57], Operations: [] Exploring Operation: 89-31=58, Resulting Numbers: [83, 57, 58] Generated Node #2: [83, 57, 58] from Operation: 89-31=58 Current State: 82:[83, 57, 58], Operations: ['89-31=58'] Exploring Operation: 83+57=140, Resulting Numbers: [58, 140] Generated Node #3: [58, 140] from Operation: 83+57=140 Current State: 82:[58, 140], Operations: ['89-31=58', '83+57=140'] Exploring Operation: 140-58=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 39, 83, 22, 91 ]
89
[ "83-39=44", "44/22=2", "91-2=89" ]
Current State: 89:[39, 83, 22, 91], Operations: [] Exploring Operation: 83-39=44, Resulting Numbers: [22, 91, 44] Generated Node #2: [22, 91, 44] from Operation: 83-39=44 Current State: 89:[22, 91, 44], Operations: ['83-39=44'] Exploring Operation: 44/22=2, Resulting Numbers: [91, 2] Generated Node #3: [91, 2] from Operation: 44/22=2 Current State: 89:[91, 2], Operations: ['83-39=44', '44/22=2'] Exploring Operation: 91-2=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 32, 5, 86, 20 ]
69
[ "32+5=37", "86+20=106", "106-37=69" ]
Current State: 69:[32, 5, 86, 20], Operations: [] Exploring Operation: 32+5=37, Resulting Numbers: [86, 20, 37] Generated Node #2: [86, 20, 37] from Operation: 32+5=37 Current State: 69:[86, 20, 37], Operations: ['32+5=37'] Exploring Operation: 86+20=106, Resulting Numbers: [37, 106] Generated Node #3: [37, 106] from Operation: 86+20=106 Current State: 69:[37, 106], Operations: ['32+5=37', '86+20=106'] Exploring Operation: 106-37=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 62, 69, 25, 40 ]
22
[ "69-62=7", "40-25=15", "7+15=22" ]
Current State: 22:[62, 69, 25, 40], Operations: [] Exploring Operation: 69-62=7, Resulting Numbers: [25, 40, 7] Generated Node #2: [25, 40, 7] from Operation: 69-62=7 Current State: 22:[25, 40, 7], Operations: ['69-62=7'] Exploring Operation: 40-25=15, Resulting Numbers: [7, 15] Generated Node #3: [7, 15] from Operation: 40-25=15 Current State: 22:[7, 15], Operations: ['69-62=7', '40-25=15'] Exploring Operation: 7+15=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 14, 19, 73, 30 ]
70
[ "14+19=33", "73+30=103", "103-33=70" ]
Current State: 70:[14, 19, 73, 30], Operations: [] Exploring Operation: 14+19=33, Resulting Numbers: [73, 30, 33] Generated Node #2: [73, 30, 33] from Operation: 14+19=33 Current State: 70:[73, 30, 33], Operations: ['14+19=33'] Exploring Operation: 73+30=103, Resulting Numbers: [33, 103] Generated Node #3: [33, 103] from Operation: 73+30=103 Current State: 70:[33, 103], Operations: ['14+19=33', '73+30=103'] Exploring Operation: 103-33=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 55, 24, 60, 22 ]
69
[ "55-24=31", "60-22=38", "31+38=69" ]
Current State: 69:[55, 24, 60, 22], Operations: [] Exploring Operation: 55-24=31, Resulting Numbers: [60, 22, 31] Generated Node #2: [60, 22, 31] from Operation: 55-24=31 Current State: 69:[60, 22, 31], Operations: ['55-24=31'] Exploring Operation: 60-22=38, Resulting Numbers: [31, 38] Generated Node #3: [31, 38] from Operation: 60-22=38 Current State: 69:[31, 38], Operations: ['55-24=31', '60-22=38'] Exploring Operation: 31+38=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 78, 64, 18, 67 ]
57
[ "78+64=142", "18+67=85", "142-85=57" ]
Current State: 57:[78, 64, 18, 67], Operations: [] Exploring Operation: 78+64=142, Resulting Numbers: [18, 67, 142] Generated Node #2: [18, 67, 142] from Operation: 78+64=142 Current State: 57:[18, 67, 142], Operations: ['78+64=142'] Exploring Operation: 18+67=85, Resulting Numbers: [142, 85] Generated Node #3: [142, 85] from Operation: 18+67=85 Current State: 57:[142, 85], Operations: ['78+64=142', '18+67=85'] Exploring Operation: 142-85=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 12, 3, 50, 45 ]
57
[ "50-45=5", "12*5=60", "60-3=57" ]
Current State: 57:[12, 3, 50, 45], Operations: [] Exploring Operation: 50-45=5, Resulting Numbers: [12, 3, 5] Generated Node #2: [12, 3, 5] from Operation: 50-45=5 Current State: 57:[12, 3, 5], Operations: ['50-45=5'] Exploring Operation: 12*5=60, Resulting Numbers: [3, 60] Generated Node #3: [3, 60] from Operation: 12*5=60 Current State: 57:[3, 60], Operations: ['50-45=5', '12*5=60'] Exploring Operation: 60-3=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 93, 8, 91, 17 ]
42
[ "93-91=2", "17*2=34", "8+34=42" ]
Current State: 42:[93, 8, 91, 17], Operations: [] Exploring Operation: 93-91=2, Resulting Numbers: [8, 17, 2] Generated Node #2: [8, 17, 2] from Operation: 93-91=2 Current State: 42:[8, 17, 2], Operations: ['93-91=2'] Exploring Operation: 17*2=34, Resulting Numbers: [8, 34] Generated Node #3: [8, 34] from Operation: 17*2=34 Current State: 42:[8, 34], Operations: ['93-91=2', '17*2=34'] Exploring Operation: 8+34=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 34, 24, 70, 45 ]
52
[ "34-24=10", "70/10=7", "45+7=52" ]
Current State: 52:[34, 24, 70, 45], Operations: [] Exploring Operation: 34-24=10, Resulting Numbers: [70, 45, 10] Generated Node #2: [70, 45, 10] from Operation: 34-24=10 Current State: 52:[70, 45, 10], Operations: ['34-24=10'] Exploring Operation: 70/10=7, Resulting Numbers: [45, 7] Generated Node #3: [45, 7] from Operation: 70/10=7 Current State: 52:[45, 7], Operations: ['34-24=10', '70/10=7'] Exploring Operation: 45+7=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 53, 47, 12, 27 ]
29
[ "53-47=6", "12/6=2", "27+2=29" ]
Current State: 29:[53, 47, 12, 27], Operations: [] Exploring Operation: 53-47=6, Resulting Numbers: [12, 27, 6] Generated Node #2: [12, 27, 6] from Operation: 53-47=6 Current State: 29:[12, 27, 6], Operations: ['53-47=6'] Exploring Operation: 12/6=2, Resulting Numbers: [27, 2] Generated Node #3: [27, 2] from Operation: 12/6=2 Current State: 29:[27, 2], Operations: ['53-47=6', '12/6=2'] Exploring Operation: 27+2=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 16, 89, 60, 91 ]
48
[ "89+91=180", "16*180=2880", "2880/60=48" ]
Current State: 48:[16, 89, 60, 91], Operations: [] Exploring Operation: 89+91=180, Resulting Numbers: [16, 60, 180] Generated Node #2: [16, 60, 180] from Operation: 89+91=180 Current State: 48:[16, 60, 180], Operations: ['89+91=180'] Exploring Operation: 16*180=2880, Resulting Numbers: [60, 2880] Generated Node #3: [60, 2880] from Operation: 16*180=2880 Current State: 48:[60, 2880], Operations: ['89+91=180', '16*180=2880'] Exploring Operation: 2880/60=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 17, 82, 8, 95 ]
33
[ "82*8=656", "656-95=561", "561/17=33" ]
Current State: 33:[17, 82, 8, 95], Operations: [] Exploring Operation: 82*8=656, Resulting Numbers: [17, 95, 656] Generated Node #2: [17, 95, 656] from Operation: 82*8=656 Current State: 33:[17, 95, 656], Operations: ['82*8=656'] Exploring Operation: 656-95=561, Resulting Numbers: [17, 561] Generated Node #3: [17, 561] from Operation: 656-95=561 Current State: 33:[17, 561], Operations: ['82*8=656', '656-95=561'] Exploring Operation: 561/17=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 5, 90, 72, 20 ]
24
[ "90/5=18", "72/18=4", "20+4=24" ]
Current State: 24:[5, 90, 72, 20], Operations: [] Exploring Operation: 90/5=18, Resulting Numbers: [72, 20, 18] Generated Node #2: [72, 20, 18] from Operation: 90/5=18 Current State: 24:[72, 20, 18], Operations: ['90/5=18'] Exploring Operation: 72/18=4, Resulting Numbers: [20, 4] Generated Node #3: [20, 4] from Operation: 72/18=4 Current State: 24:[20, 4], Operations: ['90/5=18', '72/18=4'] Exploring Operation: 20+4=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 32, 13, 92, 42 ]
69
[ "32-13=19", "92-42=50", "19+50=69" ]
Current State: 69:[32, 13, 92, 42], Operations: [] Exploring Operation: 32-13=19, Resulting Numbers: [92, 42, 19] Generated Node #2: [92, 42, 19] from Operation: 32-13=19 Current State: 69:[92, 42, 19], Operations: ['32-13=19'] Exploring Operation: 92-42=50, Resulting Numbers: [19, 50] Generated Node #3: [19, 50] from Operation: 92-42=50 Current State: 69:[19, 50], Operations: ['32-13=19', '92-42=50'] Exploring Operation: 19+50=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 96, 94, 10, 3 ]
26
[ "96-94=2", "10+3=13", "2*13=26" ]
Current State: 26:[96, 94, 10, 3], Operations: [] Exploring Operation: 96-94=2, Resulting Numbers: [10, 3, 2] Generated Node #2: [10, 3, 2] from Operation: 96-94=2 Current State: 26:[10, 3, 2], Operations: ['96-94=2'] Exploring Operation: 10+3=13, Resulting Numbers: [2, 13] Generated Node #3: [2, 13] from Operation: 10+3=13 Current State: 26:[2, 13], Operations: ['96-94=2', '10+3=13'] Exploring Operation: 2*13=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 71, 24, 43, 70 ]
38
[ "71*24=1704", "1704-70=1634", "1634/43=38" ]
Current State: 38:[71, 24, 43, 70], Operations: [] Exploring Operation: 71*24=1704, Resulting Numbers: [43, 70, 1704] Generated Node #2: [43, 70, 1704] from Operation: 71*24=1704 Current State: 38:[43, 70, 1704], Operations: ['71*24=1704'] Exploring Operation: 1704-70=1634, Resulting Numbers: [43, 1634] Generated Node #3: [43, 1634] from Operation: 1704-70=1634 Current State: 38:[43, 1634], Operations: ['71*24=1704', '1704-70=1634'] Exploring Operation: 1634/43=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 39, 43, 97, 55 ]
68
[ "39*97=3783", "3783-43=3740", "3740/55=68" ]
Current State: 68:[39, 43, 97, 55], Operations: [] Exploring Operation: 39*97=3783, Resulting Numbers: [43, 55, 3783] Generated Node #2: [43, 55, 3783] from Operation: 39*97=3783 Current State: 68:[43, 55, 3783], Operations: ['39*97=3783'] Exploring Operation: 3783-43=3740, Resulting Numbers: [55, 3740] Generated Node #3: [55, 3740] from Operation: 3783-43=3740 Current State: 68:[55, 3740], Operations: ['39*97=3783', '3783-43=3740'] Exploring Operation: 3740/55=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 63, 35, 54, 57 ]
95
[ "63+35=98", "57-54=3", "98-3=95" ]
Current State: 95:[63, 35, 54, 57], Operations: [] Exploring Operation: 63+35=98, Resulting Numbers: [54, 57, 98] Generated Node #2: [54, 57, 98] from Operation: 63+35=98 Current State: 95:[54, 57, 98], Operations: ['63+35=98'] Exploring Operation: 57-54=3, Resulting Numbers: [98, 3] Generated Node #3: [98, 3] from Operation: 57-54=3 Current State: 95:[98, 3], Operations: ['63+35=98', '57-54=3'] Exploring Operation: 98-3=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 69, 6, 60, 43 ]
97
[ "69-60=9", "6*9=54", "43+54=97" ]
Current State: 97:[69, 6, 60, 43], Operations: [] Exploring Operation: 69-60=9, Resulting Numbers: [6, 43, 9] Generated Node #2: [6, 43, 9] from Operation: 69-60=9 Current State: 97:[6, 43, 9], Operations: ['69-60=9'] Exploring Operation: 6*9=54, Resulting Numbers: [43, 54] Generated Node #3: [43, 54] from Operation: 6*9=54 Current State: 97:[43, 54], Operations: ['69-60=9', '6*9=54'] Exploring Operation: 43+54=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 59, 78, 20, 48 ]
96
[ "59-20=39", "78*48=3744", "3744/39=96" ]
Current State: 96:[59, 78, 20, 48], Operations: [] Exploring Operation: 59-20=39, Resulting Numbers: [78, 48, 39] Generated Node #2: [78, 48, 39] from Operation: 59-20=39 Current State: 96:[78, 48, 39], Operations: ['59-20=39'] Exploring Operation: 78*48=3744, Resulting Numbers: [39, 3744] Generated Node #3: [39, 3744] from Operation: 78*48=3744 Current State: 96:[39, 3744], Operations: ['59-20=39', '78*48=3744'] Exploring Operation: 3744/39=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 53, 4, 69, 48 ]
16
[ "69-53=16", "4*16=64", "64-48=16" ]
Current State: 16:[53, 4, 69, 48], Operations: [] Exploring Operation: 69-53=16, Resulting Numbers: [4, 48, 16] Generated Node #2: [4, 48, 16] from Operation: 69-53=16 Current State: 16:[4, 48, 16], Operations: ['69-53=16'] Exploring Operation: 4*16=64, Resulting Numbers: [48, 64] Generated Node #3: [48, 64] from Operation: 4*16=64 Current State: 16:[48, 64], Operations: ['69-53=16', '4*16=64'] Exploring Operation: 64-48=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 8, 44, 29, 22 ]
13
[ "8*44=352", "352/22=16", "29-16=13" ]
Current State: 13:[8, 44, 29, 22], Operations: [] Exploring Operation: 8*44=352, Resulting Numbers: [29, 22, 352] Generated Node #2: [29, 22, 352] from Operation: 8*44=352 Current State: 13:[29, 22, 352], Operations: ['8*44=352'] Exploring Operation: 352/22=16, Resulting Numbers: [29, 16] Generated Node #3: [29, 16] from Operation: 352/22=16 Current State: 13:[29, 16], Operations: ['8*44=352', '352/22=16'] Exploring Operation: 29-16=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 76, 95, 8, 70 ]
59
[ "95-76=19", "8+70=78", "78-19=59" ]
Current State: 59:[76, 95, 8, 70], Operations: [] Exploring Operation: 95-76=19, Resulting Numbers: [8, 70, 19] Generated Node #2: [8, 70, 19] from Operation: 95-76=19 Current State: 59:[8, 70, 19], Operations: ['95-76=19'] Exploring Operation: 8+70=78, Resulting Numbers: [19, 78] Generated Node #3: [19, 78] from Operation: 8+70=78 Current State: 59:[19, 78], Operations: ['95-76=19', '8+70=78'] Exploring Operation: 78-19=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 96, 51, 16, 57 ]
13
[ "96+57=153", "153/51=3", "16-3=13" ]
Current State: 13:[96, 51, 16, 57], Operations: [] Exploring Operation: 96+57=153, Resulting Numbers: [51, 16, 153] Generated Node #2: [51, 16, 153] from Operation: 96+57=153 Current State: 13:[51, 16, 153], Operations: ['96+57=153'] Exploring Operation: 153/51=3, Resulting Numbers: [16, 3] Generated Node #3: [16, 3] from Operation: 153/51=3 Current State: 13:[16, 3], Operations: ['96+57=153', '153/51=3'] Exploring Operation: 16-3=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 31, 66, 16, 2 ]
48
[ "31-16=15", "66/2=33", "15+33=48" ]
Current State: 48:[31, 66, 16, 2], Operations: [] Exploring Operation: 31-16=15, Resulting Numbers: [66, 2, 15] Generated Node #2: [66, 2, 15] from Operation: 31-16=15 Current State: 48:[66, 2, 15], Operations: ['31-16=15'] Exploring Operation: 66/2=33, Resulting Numbers: [15, 33] Generated Node #3: [15, 33] from Operation: 66/2=33 Current State: 48:[15, 33], Operations: ['31-16=15', '66/2=33'] Exploring Operation: 15+33=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 11, 42, 9, 76 ]
73
[ "42-9=33", "33/11=3", "76-3=73" ]
Current State: 73:[11, 42, 9, 76], Operations: [] Exploring Operation: 42-9=33, Resulting Numbers: [11, 76, 33] Generated Node #2: [11, 76, 33] from Operation: 42-9=33 Current State: 73:[11, 76, 33], Operations: ['42-9=33'] Exploring Operation: 33/11=3, Resulting Numbers: [76, 3] Generated Node #3: [76, 3] from Operation: 33/11=3 Current State: 73:[76, 3], Operations: ['42-9=33', '33/11=3'] Exploring Operation: 76-3=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 10, 95, 5, 70 ]
83
[ "70-10=60", "60/5=12", "95-12=83" ]
Current State: 83:[10, 95, 5, 70], Operations: [] Exploring Operation: 70-10=60, Resulting Numbers: [95, 5, 60] Generated Node #2: [95, 5, 60] from Operation: 70-10=60 Current State: 83:[95, 5, 60], Operations: ['70-10=60'] Exploring Operation: 60/5=12, Resulting Numbers: [95, 12] Generated Node #3: [95, 12] from Operation: 60/5=12 Current State: 83:[95, 12], Operations: ['70-10=60', '60/5=12'] Exploring Operation: 95-12=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 6, 55, 61, 62 ]
50
[ "55-6=49", "62-61=1", "49+1=50" ]
Current State: 50:[6, 55, 61, 62], Operations: [] Exploring Operation: 55-6=49, Resulting Numbers: [61, 62, 49] Generated Node #2: [61, 62, 49] from Operation: 55-6=49 Current State: 50:[61, 62, 49], Operations: ['55-6=49'] Exploring Operation: 62-61=1, Resulting Numbers: [49, 1] Generated Node #3: [49, 1] from Operation: 62-61=1 Current State: 50:[49, 1], Operations: ['55-6=49', '62-61=1'] Exploring Operation: 49+1=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 45, 77, 2, 37 ]
67
[ "77-45=32", "37-2=35", "32+35=67" ]
Current State: 67:[45, 77, 2, 37], Operations: [] Exploring Operation: 77-45=32, Resulting Numbers: [2, 37, 32] Generated Node #2: [2, 37, 32] from Operation: 77-45=32 Current State: 67:[2, 37, 32], Operations: ['77-45=32'] Exploring Operation: 37-2=35, Resulting Numbers: [32, 35] Generated Node #3: [32, 35] from Operation: 37-2=35 Current State: 67:[32, 35], Operations: ['77-45=32', '37-2=35'] Exploring Operation: 32+35=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 72, 96, 89, 32 ]
14
[ "89-72=17", "96/32=3", "17-3=14" ]
Current State: 14:[72, 96, 89, 32], Operations: [] Exploring Operation: 89-72=17, Resulting Numbers: [96, 32, 17] Generated Node #2: [96, 32, 17] from Operation: 89-72=17 Current State: 14:[96, 32, 17], Operations: ['89-72=17'] Exploring Operation: 96/32=3, Resulting Numbers: [17, 3] Generated Node #3: [17, 3] from Operation: 96/32=3 Current State: 14:[17, 3], Operations: ['89-72=17', '96/32=3'] Exploring Operation: 17-3=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 35, 29, 96, 66 ]
44
[ "35+29=64", "66*64=4224", "4224/96=44" ]
Current State: 44:[35, 29, 96, 66], Operations: [] Exploring Operation: 35+29=64, Resulting Numbers: [96, 66, 64] Generated Node #2: [96, 66, 64] from Operation: 35+29=64 Current State: 44:[96, 66, 64], Operations: ['35+29=64'] Exploring Operation: 66*64=4224, Resulting Numbers: [96, 4224] Generated Node #3: [96, 4224] from Operation: 66*64=4224 Current State: 44:[96, 4224], Operations: ['35+29=64', '66*64=4224'] Exploring Operation: 4224/96=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 82, 39, 2, 13 ]
73
[ "82-39=43", "2*43=86", "86-13=73" ]
Current State: 73:[82, 39, 2, 13], Operations: [] Exploring Operation: 82-39=43, Resulting Numbers: [2, 13, 43] Generated Node #2: [2, 13, 43] from Operation: 82-39=43 Current State: 73:[2, 13, 43], Operations: ['82-39=43'] Exploring Operation: 2*43=86, Resulting Numbers: [13, 86] Generated Node #3: [13, 86] from Operation: 2*43=86 Current State: 73:[13, 86], Operations: ['82-39=43', '2*43=86'] Exploring Operation: 86-13=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 2, 77, 71, 45 ]
48
[ "77-71=6", "6/2=3", "45+3=48" ]
Current State: 48:[2, 77, 71, 45], Operations: [] Exploring Operation: 77-71=6, Resulting Numbers: [2, 45, 6] Generated Node #2: [2, 45, 6] from Operation: 77-71=6 Current State: 48:[2, 45, 6], Operations: ['77-71=6'] Exploring Operation: 6/2=3, Resulting Numbers: [45, 3] Generated Node #3: [45, 3] from Operation: 6/2=3 Current State: 48:[45, 3], Operations: ['77-71=6', '6/2=3'] Exploring Operation: 45+3=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 49, 54, 23, 44 ]
26
[ "54-49=5", "44-23=21", "5+21=26" ]
Current State: 26:[49, 54, 23, 44], Operations: [] Exploring Operation: 54-49=5, Resulting Numbers: [23, 44, 5] Generated Node #2: [23, 44, 5] from Operation: 54-49=5 Current State: 26:[23, 44, 5], Operations: ['54-49=5'] Exploring Operation: 44-23=21, Resulting Numbers: [5, 21] Generated Node #3: [5, 21] from Operation: 44-23=21 Current State: 26:[5, 21], Operations: ['54-49=5', '44-23=21'] Exploring Operation: 5+21=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 87, 63, 30, 15 ]
10
[ "87+63=150", "30-15=15", "150/15=10" ]
Current State: 10:[87, 63, 30, 15], Operations: [] Exploring Operation: 87+63=150, Resulting Numbers: [30, 15, 150] Generated Node #2: [30, 15, 150] from Operation: 87+63=150 Current State: 10:[30, 15, 150], Operations: ['87+63=150'] Exploring Operation: 30-15=15, Resulting Numbers: [150, 15] Generated Node #3: [150, 15] from Operation: 30-15=15 Current State: 10:[150, 15], Operations: ['87+63=150', '30-15=15'] Exploring Operation: 150/15=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 45, 2, 63, 56 ]
80
[ "45*2=90", "56*90=5040", "5040/63=80" ]
Current State: 80:[45, 2, 63, 56], Operations: [] Exploring Operation: 45*2=90, Resulting Numbers: [63, 56, 90] Generated Node #2: [63, 56, 90] from Operation: 45*2=90 Current State: 80:[63, 56, 90], Operations: ['45*2=90'] Exploring Operation: 56*90=5040, Resulting Numbers: [63, 5040] Generated Node #3: [63, 5040] from Operation: 56*90=5040 Current State: 80:[63, 5040], Operations: ['45*2=90', '56*90=5040'] Exploring Operation: 5040/63=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 92, 21, 9, 33 ]
94
[ "9+33=42", "42/21=2", "92+2=94" ]
Current State: 94:[92, 21, 9, 33], Operations: [] Exploring Operation: 9+33=42, Resulting Numbers: [92, 21, 42] Generated Node #2: [92, 21, 42] from Operation: 9+33=42 Current State: 94:[92, 21, 42], Operations: ['9+33=42'] Exploring Operation: 42/21=2, Resulting Numbers: [92, 2] Generated Node #3: [92, 2] from Operation: 42/21=2 Current State: 94:[92, 2], Operations: ['9+33=42', '42/21=2'] Exploring Operation: 92+2=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 18, 13, 86, 16 ]
24
[ "18+86=104", "104/13=8", "16+8=24" ]
Current State: 24:[18, 13, 86, 16], Operations: [] Exploring Operation: 18+86=104, Resulting Numbers: [13, 16, 104] Generated Node #2: [13, 16, 104] from Operation: 18+86=104 Current State: 24:[13, 16, 104], Operations: ['18+86=104'] Exploring Operation: 104/13=8, Resulting Numbers: [16, 8] Generated Node #3: [16, 8] from Operation: 104/13=8 Current State: 24:[16, 8], Operations: ['18+86=104', '104/13=8'] Exploring Operation: 16+8=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 54, 1, 87, 48 ]
93
[ "54*1=54", "87-48=39", "54+39=93" ]
Current State: 93:[54, 1, 87, 48], Operations: [] Exploring Operation: 54*1=54, Resulting Numbers: [87, 48, 54] Generated Node #2: [87, 48, 54] from Operation: 54*1=54 Current State: 93:[87, 48, 54], Operations: ['54*1=54'] Exploring Operation: 87-48=39, Resulting Numbers: [54, 39] Generated Node #3: [54, 39] from Operation: 87-48=39 Current State: 93:[54, 39], Operations: ['54*1=54', '87-48=39'] Exploring Operation: 54+39=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 6, 66, 33, 37 ]
80
[ "66/33=2", "37*2=74", "6+74=80" ]
Current State: 80:[6, 66, 33, 37], Operations: [] Exploring Operation: 66/33=2, Resulting Numbers: [6, 37, 2] Generated Node #2: [6, 37, 2] from Operation: 66/33=2 Current State: 80:[6, 37, 2], Operations: ['66/33=2'] Exploring Operation: 37*2=74, Resulting Numbers: [6, 74] Generated Node #3: [6, 74] from Operation: 37*2=74 Current State: 80:[6, 74], Operations: ['66/33=2', '37*2=74'] Exploring Operation: 6+74=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 2, 39, 69, 5 ]
59
[ "39+69=108", "108/2=54", "5+54=59" ]
Current State: 59:[2, 39, 69, 5], Operations: [] Exploring Operation: 39+69=108, Resulting Numbers: [2, 5, 108] Generated Node #2: [2, 5, 108] from Operation: 39+69=108 Current State: 59:[2, 5, 108], Operations: ['39+69=108'] Exploring Operation: 108/2=54, Resulting Numbers: [5, 54] Generated Node #3: [5, 54] from Operation: 108/2=54 Current State: 59:[5, 54], Operations: ['39+69=108', '108/2=54'] Exploring Operation: 5+54=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 12, 53, 5, 26 ]
75
[ "53-12=41", "41-26=15", "5*15=75" ]
Current State: 75:[12, 53, 5, 26], Operations: [] Exploring Operation: 53-12=41, Resulting Numbers: [5, 26, 41] Generated Node #2: [5, 26, 41] from Operation: 53-12=41 Current State: 75:[5, 26, 41], Operations: ['53-12=41'] Exploring Operation: 41-26=15, Resulting Numbers: [5, 15] Generated Node #3: [5, 15] from Operation: 41-26=15 Current State: 75:[5, 15], Operations: ['53-12=41', '41-26=15'] Exploring Operation: 5*15=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 60, 35, 47, 15 ]
93
[ "60*35=2100", "2100/15=140", "140-47=93" ]
Current State: 93:[60, 35, 47, 15], Operations: [] Exploring Operation: 60*35=2100, Resulting Numbers: [47, 15, 2100] Generated Node #2: [47, 15, 2100] from Operation: 60*35=2100 Current State: 93:[47, 15, 2100], Operations: ['60*35=2100'] Exploring Operation: 2100/15=140, Resulting Numbers: [47, 140] Generated Node #3: [47, 140] from Operation: 2100/15=140 Current State: 93:[47, 140], Operations: ['60*35=2100', '2100/15=140'] Exploring Operation: 140-47=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 70, 78, 87, 98 ]
88
[ "78-70=8", "98-87=11", "8*11=88" ]
Current State: 88:[70, 78, 87, 98], Operations: [] Exploring Operation: 78-70=8, Resulting Numbers: [87, 98, 8] Generated Node #2: [87, 98, 8] from Operation: 78-70=8 Current State: 88:[87, 98, 8], Operations: ['78-70=8'] Exploring Operation: 98-87=11, Resulting Numbers: [8, 11] Generated Node #3: [8, 11] from Operation: 98-87=11 Current State: 88:[8, 11], Operations: ['78-70=8', '98-87=11'] Exploring Operation: 8*11=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 74, 8, 32, 10 ]
44
[ "74-8=66", "32-10=22", "66-22=44" ]
Current State: 44:[74, 8, 32, 10], Operations: [] Exploring Operation: 74-8=66, Resulting Numbers: [32, 10, 66] Generated Node #2: [32, 10, 66] from Operation: 74-8=66 Current State: 44:[32, 10, 66], Operations: ['74-8=66'] Exploring Operation: 32-10=22, Resulting Numbers: [66, 22] Generated Node #3: [66, 22] from Operation: 32-10=22 Current State: 44:[66, 22], Operations: ['74-8=66', '32-10=22'] Exploring Operation: 66-22=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 84, 90, 24, 79 ]
74
[ "84*79=6636", "24+6636=6660", "6660/90=74" ]
Current State: 74:[84, 90, 24, 79], Operations: [] Exploring Operation: 84*79=6636, Resulting Numbers: [90, 24, 6636] Generated Node #2: [90, 24, 6636] from Operation: 84*79=6636 Current State: 74:[90, 24, 6636], Operations: ['84*79=6636'] Exploring Operation: 24+6636=6660, Resulting Numbers: [90, 6660] Generated Node #3: [90, 6660] from Operation: 24+6636=6660 Current State: 74:[90, 6660], Operations: ['84*79=6636', '24+6636=6660'] Exploring Operation: 6660/90=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 92, 15, 47, 56 ]
98
[ "92+15=107", "56-47=9", "107-9=98" ]
Current State: 98:[92, 15, 47, 56], Operations: [] Exploring Operation: 92+15=107, Resulting Numbers: [47, 56, 107] Generated Node #2: [47, 56, 107] from Operation: 92+15=107 Current State: 98:[47, 56, 107], Operations: ['92+15=107'] Exploring Operation: 56-47=9, Resulting Numbers: [107, 9] Generated Node #3: [107, 9] from Operation: 56-47=9 Current State: 98:[107, 9], Operations: ['92+15=107', '56-47=9'] Exploring Operation: 107-9=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 65, 93, 54, 76 ]
91
[ "54+76=130", "130/65=2", "93-2=91" ]
Current State: 91:[65, 93, 54, 76], Operations: [] Exploring Operation: 54+76=130, Resulting Numbers: [65, 93, 130] Generated Node #2: [65, 93, 130] from Operation: 54+76=130 Current State: 91:[65, 93, 130], Operations: ['54+76=130'] Exploring Operation: 130/65=2, Resulting Numbers: [93, 2] Generated Node #3: [93, 2] from Operation: 130/65=2 Current State: 91:[93, 2], Operations: ['54+76=130', '130/65=2'] Exploring Operation: 93-2=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 14, 3, 51, 6 ]
22
[ "51-3=48", "48/6=8", "14+8=22" ]
Current State: 22:[14, 3, 51, 6], Operations: [] Exploring Operation: 51-3=48, Resulting Numbers: [14, 6, 48] Generated Node #2: [14, 6, 48] from Operation: 51-3=48 Current State: 22:[14, 6, 48], Operations: ['51-3=48'] Exploring Operation: 48/6=8, Resulting Numbers: [14, 8] Generated Node #3: [14, 8] from Operation: 48/6=8 Current State: 22:[14, 8], Operations: ['51-3=48', '48/6=8'] Exploring Operation: 14+8=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 29, 22, 40, 26 ]
32
[ "40+26=66", "66/22=3", "29+3=32" ]
Current State: 32:[29, 22, 40, 26], Operations: [] Exploring Operation: 40+26=66, Resulting Numbers: [29, 22, 66] Generated Node #2: [29, 22, 66] from Operation: 40+26=66 Current State: 32:[29, 22, 66], Operations: ['40+26=66'] Exploring Operation: 66/22=3, Resulting Numbers: [29, 3] Generated Node #3: [29, 3] from Operation: 66/22=3 Current State: 32:[29, 3], Operations: ['40+26=66', '66/22=3'] Exploring Operation: 29+3=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 76, 91, 19, 34 ]
45
[ "76/19=4", "34*4=136", "136-91=45" ]
Current State: 45:[76, 91, 19, 34], Operations: [] Exploring Operation: 76/19=4, Resulting Numbers: [91, 34, 4] Generated Node #2: [91, 34, 4] from Operation: 76/19=4 Current State: 45:[91, 34, 4], Operations: ['76/19=4'] Exploring Operation: 34*4=136, Resulting Numbers: [91, 136] Generated Node #3: [91, 136] from Operation: 34*4=136 Current State: 45:[91, 136], Operations: ['76/19=4', '34*4=136'] Exploring Operation: 136-91=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 77, 73, 2, 77 ]
83
[ "77-73=4", "2+77=79", "4+79=83" ]
Current State: 83:[77, 73, 2, 77], Operations: [] Exploring Operation: 77-73=4, Resulting Numbers: [2, 4] Generated Node #2: [2, 4] from Operation: 77-73=4 Current State: 83:[2, 4], Operations: ['77-73=4'] Exploring Operation: 2+77=79, Resulting Numbers: [4, 79] Generated Node #3: [4, 79] from Operation: 2+77=79 Current State: 83:[4, 79], Operations: ['77-73=4', '2+77=79'] Exploring Operation: 4+79=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 9, 48, 3, 10 ]
80
[ "9-3=6", "48*10=480", "480/6=80" ]
Current State: 80:[9, 48, 3, 10], Operations: [] Exploring Operation: 9-3=6, Resulting Numbers: [48, 10, 6] Generated Node #2: [48, 10, 6] from Operation: 9-3=6 Current State: 80:[48, 10, 6], Operations: ['9-3=6'] Exploring Operation: 48*10=480, Resulting Numbers: [6, 480] Generated Node #3: [6, 480] from Operation: 48*10=480 Current State: 80:[6, 480], Operations: ['9-3=6', '48*10=480'] Exploring Operation: 480/6=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 11, 2, 20, 29 ]
40
[ "11-2=9", "20+29=49", "49-9=40" ]
Current State: 40:[11, 2, 20, 29], Operations: [] Exploring Operation: 11-2=9, Resulting Numbers: [20, 29, 9] Generated Node #2: [20, 29, 9] from Operation: 11-2=9 Current State: 40:[20, 29, 9], Operations: ['11-2=9'] Exploring Operation: 20+29=49, Resulting Numbers: [9, 49] Generated Node #3: [9, 49] from Operation: 20+29=49 Current State: 40:[9, 49], Operations: ['11-2=9', '20+29=49'] Exploring Operation: 49-9=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 89, 58, 54, 43 ]
83
[ "58-54=4", "43*4=172", "172-89=83" ]
Current State: 83:[89, 58, 54, 43], Operations: [] Exploring Operation: 58-54=4, Resulting Numbers: [89, 43, 4] Generated Node #2: [89, 43, 4] from Operation: 58-54=4 Current State: 83:[89, 43, 4], Operations: ['58-54=4'] Exploring Operation: 43*4=172, Resulting Numbers: [89, 172] Generated Node #3: [89, 172] from Operation: 43*4=172 Current State: 83:[89, 172], Operations: ['58-54=4', '43*4=172'] Exploring Operation: 172-89=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 85, 96, 31, 47 ]
91
[ "47-31=16", "96/16=6", "85+6=91" ]
Current State: 91:[85, 96, 31, 47], Operations: [] Exploring Operation: 47-31=16, Resulting Numbers: [85, 96, 16] Generated Node #2: [85, 96, 16] from Operation: 47-31=16 Current State: 91:[85, 96, 16], Operations: ['47-31=16'] Exploring Operation: 96/16=6, Resulting Numbers: [85, 6] Generated Node #3: [85, 6] from Operation: 96/16=6 Current State: 91:[85, 6], Operations: ['47-31=16', '96/16=6'] Exploring Operation: 85+6=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 8, 27, 23, 50 ]
18
[ "27-23=4", "8*4=32", "50-32=18" ]
Current State: 18:[8, 27, 23, 50], Operations: [] Exploring Operation: 27-23=4, Resulting Numbers: [8, 50, 4] Generated Node #2: [8, 50, 4] from Operation: 27-23=4 Current State: 18:[8, 50, 4], Operations: ['27-23=4'] Exploring Operation: 8*4=32, Resulting Numbers: [50, 32] Generated Node #3: [50, 32] from Operation: 8*4=32 Current State: 18:[50, 32], Operations: ['27-23=4', '8*4=32'] Exploring Operation: 50-32=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 73, 86, 53, 86 ]
19
[ "73-53=20", "86/86=1", "20-1=19" ]
Current State: 19:[73, 86, 53, 86], Operations: [] Exploring Operation: 73-53=20, Resulting Numbers: [86, 86, 20] Generated Node #2: [86, 86, 20] from Operation: 73-53=20 Current State: 19:[86, 86, 20], Operations: ['73-53=20'] Exploring Operation: 86/86=1, Resulting Numbers: [20, 1] Generated Node #3: [20, 1] from Operation: 86/86=1 Current State: 19:[20, 1], Operations: ['73-53=20', '86/86=1'] Exploring Operation: 20-1=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 78, 1, 65, 3 ]
52
[ "78-65=13", "1+3=4", "13*4=52" ]
Current State: 52:[78, 1, 65, 3], Operations: [] Exploring Operation: 78-65=13, Resulting Numbers: [1, 3, 13] Generated Node #2: [1, 3, 13] from Operation: 78-65=13 Current State: 52:[1, 3, 13], Operations: ['78-65=13'] Exploring Operation: 1+3=4, Resulting Numbers: [13, 4] Generated Node #3: [13, 4] from Operation: 1+3=4 Current State: 52:[13, 4], Operations: ['78-65=13', '1+3=4'] Exploring Operation: 13*4=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 42, 66, 52, 98 ]
70
[ "66-42=24", "98-52=46", "24+46=70" ]
Current State: 70:[42, 66, 52, 98], Operations: [] Exploring Operation: 66-42=24, Resulting Numbers: [52, 98, 24] Generated Node #2: [52, 98, 24] from Operation: 66-42=24 Current State: 70:[52, 98, 24], Operations: ['66-42=24'] Exploring Operation: 98-52=46, Resulting Numbers: [24, 46] Generated Node #3: [24, 46] from Operation: 98-52=46 Current State: 70:[24, 46], Operations: ['66-42=24', '98-52=46'] Exploring Operation: 24+46=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 34, 30, 44, 50 ]
53
[ "44-34=10", "30/10=3", "50+3=53" ]
Current State: 53:[34, 30, 44, 50], Operations: [] Exploring Operation: 44-34=10, Resulting Numbers: [30, 50, 10] Generated Node #2: [30, 50, 10] from Operation: 44-34=10 Current State: 53:[30, 50, 10], Operations: ['44-34=10'] Exploring Operation: 30/10=3, Resulting Numbers: [50, 3] Generated Node #3: [50, 3] from Operation: 30/10=3 Current State: 53:[50, 3], Operations: ['44-34=10', '30/10=3'] Exploring Operation: 50+3=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 45, 72, 68, 25 ]
34
[ "72-45=27", "27-25=2", "68/2=34" ]
Current State: 34:[45, 72, 68, 25], Operations: [] Exploring Operation: 72-45=27, Resulting Numbers: [68, 25, 27] Generated Node #2: [68, 25, 27] from Operation: 72-45=27 Current State: 34:[68, 25, 27], Operations: ['72-45=27'] Exploring Operation: 27-25=2, Resulting Numbers: [68, 2] Generated Node #3: [68, 2] from Operation: 27-25=2 Current State: 34:[68, 2], Operations: ['72-45=27', '27-25=2'] Exploring Operation: 68/2=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4