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
[ 64, 68, 67, 26 ]
39
[ "64+68=132", "67+26=93", "132-93=39" ]
Current State: 39:[64, 68, 67, 26], Operations: [] Exploring Operation: 64+68=132, Resulting Numbers: [67, 26, 132] Generated Node #2: [67, 26, 132] from Operation: 64+68=132 Current State: 39:[67, 26, 132], Operations: ['64+68=132'] Exploring Operation: 67+26=93, Resulting Numbers: [132, 93] Generated Node #3: [132, 93] from Operation: 67+26=93 Current State: 39:[132, 93], Operations: ['64+68=132', '67+26=93'] Exploring Operation: 132-93=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 21, 28, 49, 4 ]
52
[ "28-21=7", "49-4=45", "7+45=52" ]
Current State: 52:[21, 28, 49, 4], Operations: [] Exploring Operation: 28-21=7, Resulting Numbers: [49, 4, 7] Generated Node #2: [49, 4, 7] from Operation: 28-21=7 Current State: 52:[49, 4, 7], Operations: ['28-21=7'] Exploring Operation: 49-4=45, Resulting Numbers: [7, 45] Generated Node #3: [7, 45] from Operation: 49-4=45 Current State: 52:[7, 45], Operations: ['28-21=7', '49-4=45'] Exploring Operation: 7+45=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 58, 88, 73, 5 ]
13
[ "73-58=15", "5*15=75", "88-75=13" ]
Current State: 13:[58, 88, 73, 5], Operations: [] Exploring Operation: 73-58=15, Resulting Numbers: [88, 5, 15] Generated Node #2: [88, 5, 15] from Operation: 73-58=15 Current State: 13:[88, 5, 15], Operations: ['73-58=15'] Exploring Operation: 5*15=75, Resulting Numbers: [88, 75] Generated Node #3: [88, 75] from Operation: 5*15=75 Current State: 13:[88, 75], Operations: ['73-58=15', '5*15=75'] Exploring Operation: 88-75=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 58, 17, 7, 90 ]
67
[ "17-7=10", "90/10=9", "58+9=67" ]
Current State: 67:[58, 17, 7, 90], Operations: [] Exploring Operation: 17-7=10, Resulting Numbers: [58, 90, 10] Generated Node #2: [58, 90, 10] from Operation: 17-7=10 Current State: 67:[58, 90, 10], Operations: ['17-7=10'] Exploring Operation: 90/10=9, Resulting Numbers: [58, 9] Generated Node #3: [58, 9] from Operation: 90/10=9 Current State: 67:[58, 9], Operations: ['17-7=10', '90/10=9'] Exploring Operation: 58+9=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 32, 12, 28, 82 ]
84
[ "28-12=16", "32/16=2", "82+2=84" ]
Current State: 84:[32, 12, 28, 82], Operations: [] Exploring Operation: 28-12=16, Resulting Numbers: [32, 82, 16] Generated Node #2: [32, 82, 16] from Operation: 28-12=16 Current State: 84:[32, 82, 16], Operations: ['28-12=16'] Exploring Operation: 32/16=2, Resulting Numbers: [82, 2] Generated Node #3: [82, 2] from Operation: 32/16=2 Current State: 84:[82, 2], Operations: ['28-12=16', '32/16=2'] Exploring Operation: 82+2=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 46, 15, 16, 15 ]
30
[ "46+15=61", "16+15=31", "61-31=30" ]
Current State: 30:[46, 15, 16, 15], Operations: [] Exploring Operation: 46+15=61, Resulting Numbers: [16, 61] Generated Node #2: [16, 61] from Operation: 46+15=61 Current State: 30:[16, 61], Operations: ['46+15=61'] Exploring Operation: 16+15=31, Resulting Numbers: [61, 31] Generated Node #3: [61, 31] from Operation: 16+15=31 Current State: 30:[61, 31], Operations: ['46+15=61', '16+15=31'] Exploring Operation: 61-31=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 84, 17, 66, 87 ]
55
[ "87-17=70", "66*70=4620", "4620/84=55" ]
Current State: 55:[84, 17, 66, 87], Operations: [] Exploring Operation: 87-17=70, Resulting Numbers: [84, 66, 70] Generated Node #2: [84, 66, 70] from Operation: 87-17=70 Current State: 55:[84, 66, 70], Operations: ['87-17=70'] Exploring Operation: 66*70=4620, Resulting Numbers: [84, 4620] Generated Node #3: [84, 4620] from Operation: 66*70=4620 Current State: 55:[84, 4620], Operations: ['87-17=70', '66*70=4620'] Exploring Operation: 4620/84=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 44, 94, 71, 44 ]
24
[ "44/44=1", "94-71=23", "1+23=24" ]
Current State: 24:[44, 94, 71, 44], Operations: [] Exploring Operation: 44/44=1, Resulting Numbers: [94, 71, 1] Generated Node #2: [94, 71, 1] from Operation: 44/44=1 Current State: 24:[94, 71, 1], Operations: ['44/44=1'] Exploring Operation: 94-71=23, Resulting Numbers: [1, 23] Generated Node #3: [1, 23] from Operation: 94-71=23 Current State: 24:[1, 23], Operations: ['44/44=1', '94-71=23'] Exploring Operation: 1+23=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 51, 17, 34, 13 ]
45
[ "17+13=30", "51*30=1530", "1530/34=45" ]
Current State: 45:[51, 17, 34, 13], Operations: [] Exploring Operation: 17+13=30, Resulting Numbers: [51, 34, 30] Generated Node #2: [51, 34, 30] from Operation: 17+13=30 Current State: 45:[51, 34, 30], Operations: ['17+13=30'] Exploring Operation: 51*30=1530, Resulting Numbers: [34, 1530] Generated Node #3: [34, 1530] from Operation: 51*30=1530 Current State: 45:[34, 1530], Operations: ['17+13=30', '51*30=1530'] Exploring Operation: 1530/34=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 98, 70, 5, 87 ]
51
[ "98+70=168", "87+168=255", "255/5=51" ]
Current State: 51:[98, 70, 5, 87], Operations: [] Exploring Operation: 98+70=168, Resulting Numbers: [5, 87, 168] Generated Node #2: [5, 87, 168] from Operation: 98+70=168 Current State: 51:[5, 87, 168], Operations: ['98+70=168'] Exploring Operation: 87+168=255, Resulting Numbers: [5, 255] Generated Node #3: [5, 255] from Operation: 87+168=255 Current State: 51:[5, 255], Operations: ['98+70=168', '87+168=255'] Exploring Operation: 255/5=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 59, 14, 10, 49 ]
86
[ "59-49=10", "10*10=100", "100-14=86" ]
Current State: 86:[59, 14, 10, 49], Operations: [] Exploring Operation: 59-49=10, Resulting Numbers: [14, 10, 10] Generated Node #2: [14, 10, 10] from Operation: 59-49=10 Current State: 86:[14, 10, 10], Operations: ['59-49=10'] Exploring Operation: 10*10=100, Resulting Numbers: [14, 100] Generated Node #3: [14, 100] from Operation: 10*10=100 Current State: 86:[14, 100], Operations: ['59-49=10', '10*10=100'] Exploring Operation: 100-14=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 11, 49, 57, 28 ]
47
[ "49-11=38", "57+28=85", "85-38=47" ]
Current State: 47:[11, 49, 57, 28], Operations: [] Exploring Operation: 49-11=38, Resulting Numbers: [57, 28, 38] Generated Node #2: [57, 28, 38] from Operation: 49-11=38 Current State: 47:[57, 28, 38], Operations: ['49-11=38'] Exploring Operation: 57+28=85, Resulting Numbers: [38, 85] Generated Node #3: [38, 85] from Operation: 57+28=85 Current State: 47:[38, 85], Operations: ['49-11=38', '57+28=85'] Exploring Operation: 85-38=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 5, 10, 8, 25 ]
29
[ "10/5=2", "8/2=4", "25+4=29" ]
Current State: 29:[5, 10, 8, 25], Operations: [] Exploring Operation: 10/5=2, Resulting Numbers: [8, 25, 2] Generated Node #2: [8, 25, 2] from Operation: 10/5=2 Current State: 29:[8, 25, 2], Operations: ['10/5=2'] Exploring Operation: 8/2=4, Resulting Numbers: [25, 4] Generated Node #3: [25, 4] from Operation: 8/2=4 Current State: 29:[25, 4], Operations: ['10/5=2', '8/2=4'] Exploring Operation: 25+4=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 18, 43, 89, 30 ]
11
[ "30-18=12", "43+89=132", "132/12=11" ]
Current State: 11:[18, 43, 89, 30], Operations: [] Exploring Operation: 30-18=12, Resulting Numbers: [43, 89, 12] Generated Node #2: [43, 89, 12] from Operation: 30-18=12 Current State: 11:[43, 89, 12], Operations: ['30-18=12'] Exploring Operation: 43+89=132, Resulting Numbers: [12, 132] Generated Node #3: [12, 132] from Operation: 43+89=132 Current State: 11:[12, 132], Operations: ['30-18=12', '43+89=132'] Exploring Operation: 132/12=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 18, 14, 7, 90 ]
74
[ "90-18=72", "14/7=2", "72+2=74" ]
Current State: 74:[18, 14, 7, 90], Operations: [] Exploring Operation: 90-18=72, Resulting Numbers: [14, 7, 72] Generated Node #2: [14, 7, 72] from Operation: 90-18=72 Current State: 74:[14, 7, 72], Operations: ['90-18=72'] Exploring Operation: 14/7=2, Resulting Numbers: [72, 2] Generated Node #3: [72, 2] from Operation: 14/7=2 Current State: 74:[72, 2], Operations: ['90-18=72', '14/7=2'] Exploring Operation: 72+2=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 31, 92, 67, 46 ]
100
[ "31+67=98", "92/46=2", "98+2=100" ]
Current State: 100:[31, 92, 67, 46], Operations: [] Exploring Operation: 31+67=98, Resulting Numbers: [92, 46, 98] Generated Node #2: [92, 46, 98] from Operation: 31+67=98 Current State: 100:[92, 46, 98], Operations: ['31+67=98'] Exploring Operation: 92/46=2, Resulting Numbers: [98, 2] Generated Node #3: [98, 2] from Operation: 92/46=2 Current State: 100:[98, 2], Operations: ['31+67=98', '92/46=2'] Exploring Operation: 98+2=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 76, 79, 42, 28 ]
73
[ "79-76=3", "42+28=70", "3+70=73" ]
Current State: 73:[76, 79, 42, 28], Operations: [] Exploring Operation: 79-76=3, Resulting Numbers: [42, 28, 3] Generated Node #2: [42, 28, 3] from Operation: 79-76=3 Current State: 73:[42, 28, 3], Operations: ['79-76=3'] Exploring Operation: 42+28=70, Resulting Numbers: [3, 70] Generated Node #3: [3, 70] from Operation: 42+28=70 Current State: 73:[3, 70], Operations: ['79-76=3', '42+28=70'] Exploring Operation: 3+70=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 51, 4, 41, 37 ]
19
[ "51+37=88", "88/4=22", "41-22=19" ]
Current State: 19:[51, 4, 41, 37], Operations: [] Exploring Operation: 51+37=88, Resulting Numbers: [4, 41, 88] Generated Node #2: [4, 41, 88] from Operation: 51+37=88 Current State: 19:[4, 41, 88], Operations: ['51+37=88'] Exploring Operation: 88/4=22, Resulting Numbers: [41, 22] Generated Node #3: [41, 22] from Operation: 88/4=22 Current State: 19:[41, 22], Operations: ['51+37=88', '88/4=22'] Exploring Operation: 41-22=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 90, 96, 18, 5 ]
78
[ "96-90=6", "18-5=13", "6*13=78" ]
Current State: 78:[90, 96, 18, 5], Operations: [] Exploring Operation: 96-90=6, Resulting Numbers: [18, 5, 6] Generated Node #2: [18, 5, 6] from Operation: 96-90=6 Current State: 78:[18, 5, 6], Operations: ['96-90=6'] Exploring Operation: 18-5=13, Resulting Numbers: [6, 13] Generated Node #3: [6, 13] from Operation: 18-5=13 Current State: 78:[6, 13], Operations: ['96-90=6', '18-5=13'] Exploring Operation: 6*13=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 12, 36, 90, 6 ]
93
[ "36/12=3", "90+6=96", "96-3=93" ]
Current State: 93:[12, 36, 90, 6], Operations: [] Exploring Operation: 36/12=3, Resulting Numbers: [90, 6, 3] Generated Node #2: [90, 6, 3] from Operation: 36/12=3 Current State: 93:[90, 6, 3], Operations: ['36/12=3'] Exploring Operation: 90+6=96, Resulting Numbers: [3, 96] Generated Node #3: [3, 96] from Operation: 90+6=96 Current State: 93:[3, 96], Operations: ['36/12=3', '90+6=96'] Exploring Operation: 96-3=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 21, 84, 79, 22 ]
48
[ "21+84=105", "79-22=57", "105-57=48" ]
Current State: 48:[21, 84, 79, 22], Operations: [] Exploring Operation: 21+84=105, Resulting Numbers: [79, 22, 105] Generated Node #2: [79, 22, 105] from Operation: 21+84=105 Current State: 48:[79, 22, 105], Operations: ['21+84=105'] Exploring Operation: 79-22=57, Resulting Numbers: [105, 57] Generated Node #3: [105, 57] from Operation: 79-22=57 Current State: 48:[105, 57], Operations: ['21+84=105', '79-22=57'] Exploring Operation: 105-57=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 20, 7, 70, 9 ]
13
[ "70-20=50", "7*9=63", "63-50=13" ]
Current State: 13:[20, 7, 70, 9], Operations: [] Exploring Operation: 70-20=50, Resulting Numbers: [7, 9, 50] Generated Node #2: [7, 9, 50] from Operation: 70-20=50 Current State: 13:[7, 9, 50], Operations: ['70-20=50'] Exploring Operation: 7*9=63, Resulting Numbers: [50, 63] Generated Node #3: [50, 63] from Operation: 7*9=63 Current State: 13:[50, 63], Operations: ['70-20=50', '7*9=63'] Exploring Operation: 63-50=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 7, 58, 21, 49 ]
44
[ "49/7=7", "58-21=37", "7+37=44" ]
Current State: 44:[7, 58, 21, 49], Operations: [] Exploring Operation: 49/7=7, Resulting Numbers: [58, 21, 7] Generated Node #2: [58, 21, 7] from Operation: 49/7=7 Current State: 44:[58, 21, 7], Operations: ['49/7=7'] Exploring Operation: 58-21=37, Resulting Numbers: [7, 37] Generated Node #3: [7, 37] from Operation: 58-21=37 Current State: 44:[7, 37], Operations: ['49/7=7', '58-21=37'] Exploring Operation: 7+37=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 36, 41, 4, 3 ]
71
[ "36*3=108", "41-4=37", "108-37=71" ]
Current State: 71:[36, 41, 4, 3], Operations: [] Exploring Operation: 36*3=108, Resulting Numbers: [41, 4, 108] Generated Node #2: [41, 4, 108] from Operation: 36*3=108 Current State: 71:[41, 4, 108], Operations: ['36*3=108'] Exploring Operation: 41-4=37, Resulting Numbers: [108, 37] Generated Node #3: [108, 37] from Operation: 41-4=37 Current State: 71:[108, 37], Operations: ['36*3=108', '41-4=37'] Exploring Operation: 108-37=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 86, 60, 52, 43 ]
68
[ "86*60=5160", "5160/43=120", "120-52=68" ]
Current State: 68:[86, 60, 52, 43], Operations: [] Exploring Operation: 86*60=5160, Resulting Numbers: [52, 43, 5160] Generated Node #2: [52, 43, 5160] from Operation: 86*60=5160 Current State: 68:[52, 43, 5160], Operations: ['86*60=5160'] Exploring Operation: 5160/43=120, Resulting Numbers: [52, 120] Generated Node #3: [52, 120] from Operation: 5160/43=120 Current State: 68:[52, 120], Operations: ['86*60=5160', '5160/43=120'] Exploring Operation: 120-52=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 6, 10, 80, 96 ]
81
[ "10+80=90", "90/6=15", "96-15=81" ]
Current State: 81:[6, 10, 80, 96], Operations: [] Exploring Operation: 10+80=90, Resulting Numbers: [6, 96, 90] Generated Node #2: [6, 96, 90] from Operation: 10+80=90 Current State: 81:[6, 96, 90], Operations: ['10+80=90'] Exploring Operation: 90/6=15, Resulting Numbers: [96, 15] Generated Node #3: [96, 15] from Operation: 90/6=15 Current State: 81:[96, 15], Operations: ['10+80=90', '90/6=15'] Exploring Operation: 96-15=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 61, 15, 27, 77 ]
26
[ "61+15=76", "77-27=50", "76-50=26" ]
Current State: 26:[61, 15, 27, 77], Operations: [] Exploring Operation: 61+15=76, Resulting Numbers: [27, 77, 76] Generated Node #2: [27, 77, 76] from Operation: 61+15=76 Current State: 26:[27, 77, 76], Operations: ['61+15=76'] Exploring Operation: 77-27=50, Resulting Numbers: [76, 50] Generated Node #3: [76, 50] from Operation: 77-27=50 Current State: 26:[76, 50], Operations: ['61+15=76', '77-27=50'] Exploring Operation: 76-50=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 3, 11, 62, 3 ]
16
[ "3+11=14", "62-14=48", "48/3=16" ]
Current State: 16:[3, 11, 62, 3], Operations: [] Exploring Operation: 3+11=14, Resulting Numbers: [62, 14] Generated Node #2: [62, 14] from Operation: 3+11=14 Current State: 16:[62, 14], Operations: ['3+11=14'] Exploring Operation: 62-14=48, Resulting Numbers: [48] 48,16 equal: Goal Reached Exploring Operation: 48/3=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 3, 66, 60, 61 ]
77
[ "3*66=198", "60+61=121", "198-121=77" ]
Current State: 77:[3, 66, 60, 61], Operations: [] Exploring Operation: 3*66=198, Resulting Numbers: [60, 61, 198] Generated Node #2: [60, 61, 198] from Operation: 3*66=198 Current State: 77:[60, 61, 198], Operations: ['3*66=198'] Exploring Operation: 60+61=121, Resulting Numbers: [198, 121] Generated Node #3: [198, 121] from Operation: 60+61=121 Current State: 77:[198, 121], Operations: ['3*66=198', '60+61=121'] Exploring Operation: 198-121=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 10, 97, 17, 94 ]
81
[ "10+17=27", "97-94=3", "27*3=81" ]
Current State: 81:[10, 97, 17, 94], Operations: [] Exploring Operation: 10+17=27, Resulting Numbers: [97, 94, 27] Generated Node #2: [97, 94, 27] from Operation: 10+17=27 Current State: 81:[97, 94, 27], Operations: ['10+17=27'] Exploring Operation: 97-94=3, Resulting Numbers: [27, 3] Generated Node #3: [27, 3] from Operation: 97-94=3 Current State: 81:[27, 3], Operations: ['10+17=27', '97-94=3'] Exploring Operation: 27*3=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 99, 26, 57, 77 ]
53
[ "99-26=73", "77-57=20", "73-20=53" ]
Current State: 53:[99, 26, 57, 77], Operations: [] Exploring Operation: 99-26=73, Resulting Numbers: [57, 77, 73] Generated Node #2: [57, 77, 73] from Operation: 99-26=73 Current State: 53:[57, 77, 73], Operations: ['99-26=73'] Exploring Operation: 77-57=20, Resulting Numbers: [73, 20] Generated Node #3: [73, 20] from Operation: 77-57=20 Current State: 53:[73, 20], Operations: ['99-26=73', '77-57=20'] Exploring Operation: 73-20=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 24, 79, 42, 43 ]
18
[ "24+79=103", "42+43=85", "103-85=18" ]
Current State: 18:[24, 79, 42, 43], Operations: [] Exploring Operation: 24+79=103, Resulting Numbers: [42, 43, 103] Generated Node #2: [42, 43, 103] from Operation: 24+79=103 Current State: 18:[42, 43, 103], Operations: ['24+79=103'] Exploring Operation: 42+43=85, Resulting Numbers: [103, 85] Generated Node #3: [103, 85] from Operation: 42+43=85 Current State: 18:[103, 85], Operations: ['24+79=103', '42+43=85'] Exploring Operation: 103-85=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 33, 45, 77, 35 ]
66
[ "45*77=3465", "3465/35=99", "99-33=66" ]
Current State: 66:[33, 45, 77, 35], Operations: [] Exploring Operation: 45*77=3465, Resulting Numbers: [33, 35, 3465] Generated Node #2: [33, 35, 3465] from Operation: 45*77=3465 Current State: 66:[33, 35, 3465], Operations: ['45*77=3465'] Exploring Operation: 3465/35=99, Resulting Numbers: [33, 99] Generated Node #3: [33, 99] from Operation: 3465/35=99 Current State: 66:[33, 99], Operations: ['45*77=3465', '3465/35=99'] Exploring Operation: 99-33=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 29, 47, 95, 40 ]
59
[ "29+47=76", "95+40=135", "135-76=59" ]
Current State: 59:[29, 47, 95, 40], Operations: [] Exploring Operation: 29+47=76, Resulting Numbers: [95, 40, 76] Generated Node #2: [95, 40, 76] from Operation: 29+47=76 Current State: 59:[95, 40, 76], Operations: ['29+47=76'] Exploring Operation: 95+40=135, Resulting Numbers: [76, 135] Generated Node #3: [76, 135] from Operation: 95+40=135 Current State: 59:[76, 135], Operations: ['29+47=76', '95+40=135'] Exploring Operation: 135-76=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 44, 7, 34, 97 ]
27
[ "44-34=10", "7*10=70", "97-70=27" ]
Current State: 27:[44, 7, 34, 97], Operations: [] Exploring Operation: 44-34=10, Resulting Numbers: [7, 97, 10] Generated Node #2: [7, 97, 10] from Operation: 44-34=10 Current State: 27:[7, 97, 10], Operations: ['44-34=10'] Exploring Operation: 7*10=70, Resulting Numbers: [97, 70] Generated Node #3: [97, 70] from Operation: 7*10=70 Current State: 27:[97, 70], Operations: ['44-34=10', '7*10=70'] Exploring Operation: 97-70=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 94, 61, 66, 87 ]
85
[ "94-61=33", "66/33=2", "87-2=85" ]
Current State: 85:[94, 61, 66, 87], Operations: [] Exploring Operation: 94-61=33, Resulting Numbers: [66, 87, 33] Generated Node #2: [66, 87, 33] from Operation: 94-61=33 Current State: 85:[66, 87, 33], Operations: ['94-61=33'] Exploring Operation: 66/33=2, Resulting Numbers: [87, 2] Generated Node #3: [87, 2] from Operation: 66/33=2 Current State: 85:[87, 2], Operations: ['94-61=33', '66/33=2'] Exploring Operation: 87-2=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 7, 55, 78, 72 ]
66
[ "72-7=65", "55*78=4290", "4290/65=66" ]
Current State: 66:[7, 55, 78, 72], Operations: [] Exploring Operation: 72-7=65, Resulting Numbers: [55, 78, 65] Generated Node #2: [55, 78, 65] from Operation: 72-7=65 Current State: 66:[55, 78, 65], Operations: ['72-7=65'] Exploring Operation: 55*78=4290, Resulting Numbers: [65, 4290] Generated Node #3: [65, 4290] from Operation: 55*78=4290 Current State: 66:[65, 4290], Operations: ['72-7=65', '55*78=4290'] Exploring Operation: 4290/65=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 45, 81, 77, 56 ]
57
[ "81-45=36", "77-56=21", "36+21=57" ]
Current State: 57:[45, 81, 77, 56], Operations: [] Exploring Operation: 81-45=36, Resulting Numbers: [77, 56, 36] Generated Node #2: [77, 56, 36] from Operation: 81-45=36 Current State: 57:[77, 56, 36], Operations: ['81-45=36'] Exploring Operation: 77-56=21, Resulting Numbers: [36, 21] Generated Node #3: [36, 21] from Operation: 77-56=21 Current State: 57:[36, 21], Operations: ['81-45=36', '77-56=21'] Exploring Operation: 36+21=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 53, 34, 42, 92 ]
37
[ "53+34=87", "92-42=50", "87-50=37" ]
Current State: 37:[53, 34, 42, 92], Operations: [] Exploring Operation: 53+34=87, Resulting Numbers: [42, 92, 87] Generated Node #2: [42, 92, 87] from Operation: 53+34=87 Current State: 37:[42, 92, 87], Operations: ['53+34=87'] Exploring Operation: 92-42=50, Resulting Numbers: [87, 50] Generated Node #3: [87, 50] from Operation: 92-42=50 Current State: 37:[87, 50], Operations: ['53+34=87', '92-42=50'] Exploring Operation: 87-50=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 31, 18, 46, 2 ]
35
[ "31-18=13", "46+2=48", "48-13=35" ]
Current State: 35:[31, 18, 46, 2], Operations: [] Exploring Operation: 31-18=13, Resulting Numbers: [46, 2, 13] Generated Node #2: [46, 2, 13] from Operation: 31-18=13 Current State: 35:[46, 2, 13], Operations: ['31-18=13'] Exploring Operation: 46+2=48, Resulting Numbers: [13, 48] Generated Node #3: [13, 48] from Operation: 46+2=48 Current State: 35:[13, 48], Operations: ['31-18=13', '46+2=48'] Exploring Operation: 48-13=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 19, 83, 21, 15 ]
100
[ "83-19=64", "21+15=36", "64+36=100" ]
Current State: 100:[19, 83, 21, 15], Operations: [] Exploring Operation: 83-19=64, Resulting Numbers: [21, 15, 64] Generated Node #2: [21, 15, 64] from Operation: 83-19=64 Current State: 100:[21, 15, 64], Operations: ['83-19=64'] Exploring Operation: 21+15=36, Resulting Numbers: [64, 36] Generated Node #3: [64, 36] from Operation: 21+15=36 Current State: 100:[64, 36], Operations: ['83-19=64', '21+15=36'] Exploring Operation: 64+36=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 53, 71, 48, 37 ]
39
[ "53+71=124", "48+37=85", "124-85=39" ]
Current State: 39:[53, 71, 48, 37], Operations: [] Exploring Operation: 53+71=124, Resulting Numbers: [48, 37, 124] Generated Node #2: [48, 37, 124] from Operation: 53+71=124 Current State: 39:[48, 37, 124], Operations: ['53+71=124'] Exploring Operation: 48+37=85, Resulting Numbers: [124, 85] Generated Node #3: [124, 85] from Operation: 48+37=85 Current State: 39:[124, 85], Operations: ['53+71=124', '48+37=85'] Exploring Operation: 124-85=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 22, 91, 3, 38 ]
63
[ "22*3=66", "91+38=129", "129-66=63" ]
Current State: 63:[22, 91, 3, 38], Operations: [] Exploring Operation: 22*3=66, Resulting Numbers: [91, 38, 66] Generated Node #2: [91, 38, 66] from Operation: 22*3=66 Current State: 63:[91, 38, 66], Operations: ['22*3=66'] Exploring Operation: 91+38=129, Resulting Numbers: [66, 129] Generated Node #3: [66, 129] from Operation: 91+38=129 Current State: 63:[66, 129], Operations: ['22*3=66', '91+38=129'] Exploring Operation: 129-66=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 94, 57, 15, 19 ]
99
[ "57/19=3", "15/3=5", "94+5=99" ]
Current State: 99:[94, 57, 15, 19], Operations: [] Exploring Operation: 57/19=3, Resulting Numbers: [94, 15, 3] Generated Node #2: [94, 15, 3] from Operation: 57/19=3 Current State: 99:[94, 15, 3], Operations: ['57/19=3'] Exploring Operation: 15/3=5, Resulting Numbers: [94, 5] Generated Node #3: [94, 5] from Operation: 15/3=5 Current State: 99:[94, 5], Operations: ['57/19=3', '15/3=5'] Exploring Operation: 94+5=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 18, 8, 10, 7 ]
71
[ "18-10=8", "8*8=64", "7+64=71" ]
Current State: 71:[18, 8, 10, 7], Operations: [] Exploring Operation: 18-10=8, Resulting Numbers: [8, 7, 8] Generated Node #2: [8, 7, 8] from Operation: 18-10=8 Current State: 71:[8, 7, 8], Operations: ['18-10=8'] Exploring Operation: 8*8=64, Resulting Numbers: [7, 64] Generated Node #3: [7, 64] from Operation: 8*8=64 Current State: 71:[7, 64], Operations: ['18-10=8', '8*8=64'] Exploring Operation: 7+64=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 95, 2, 48, 63 ]
64
[ "95-63=32", "2*48=96", "96-32=64" ]
Current State: 64:[95, 2, 48, 63], Operations: [] Exploring Operation: 95-63=32, Resulting Numbers: [2, 48, 32] Generated Node #2: [2, 48, 32] from Operation: 95-63=32 Current State: 64:[2, 48, 32], Operations: ['95-63=32'] Exploring Operation: 2*48=96, Resulting Numbers: [32, 96] Generated Node #3: [32, 96] from Operation: 2*48=96 Current State: 64:[32, 96], Operations: ['95-63=32', '2*48=96'] Exploring Operation: 96-32=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 47, 61, 75, 84 ]
58
[ "75-47=28", "84/28=3", "61-3=58" ]
Current State: 58:[47, 61, 75, 84], Operations: [] Exploring Operation: 75-47=28, Resulting Numbers: [61, 84, 28] Generated Node #2: [61, 84, 28] from Operation: 75-47=28 Current State: 58:[61, 84, 28], Operations: ['75-47=28'] Exploring Operation: 84/28=3, Resulting Numbers: [61, 3] Generated Node #3: [61, 3] from Operation: 84/28=3 Current State: 58:[61, 3], Operations: ['75-47=28', '84/28=3'] Exploring Operation: 61-3=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 14, 70, 89, 55 ]
60
[ "14+70=84", "89+55=144", "144-84=60" ]
Current State: 60:[14, 70, 89, 55], Operations: [] Exploring Operation: 14+70=84, Resulting Numbers: [89, 55, 84] Generated Node #2: [89, 55, 84] from Operation: 14+70=84 Current State: 60:[89, 55, 84], Operations: ['14+70=84'] Exploring Operation: 89+55=144, Resulting Numbers: [84, 144] Generated Node #3: [84, 144] from Operation: 89+55=144 Current State: 60:[84, 144], Operations: ['14+70=84', '89+55=144'] Exploring Operation: 144-84=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 6, 46, 50, 35 ]
16
[ "46-35=11", "6*11=66", "66-50=16" ]
Current State: 16:[6, 46, 50, 35], Operations: [] Exploring Operation: 46-35=11, Resulting Numbers: [6, 50, 11] Generated Node #2: [6, 50, 11] from Operation: 46-35=11 Current State: 16:[6, 50, 11], Operations: ['46-35=11'] Exploring Operation: 6*11=66, Resulting Numbers: [50, 66] Generated Node #3: [50, 66] from Operation: 6*11=66 Current State: 16:[50, 66], Operations: ['46-35=11', '6*11=66'] Exploring Operation: 66-50=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 65, 96, 66, 15 ]
67
[ "96-66=30", "30/15=2", "65+2=67" ]
Current State: 67:[65, 96, 66, 15], Operations: [] Exploring Operation: 96-66=30, Resulting Numbers: [65, 15, 30] Generated Node #2: [65, 15, 30] from Operation: 96-66=30 Current State: 67:[65, 15, 30], Operations: ['96-66=30'] Exploring Operation: 30/15=2, Resulting Numbers: [65, 2] Generated Node #3: [65, 2] from Operation: 30/15=2 Current State: 67:[65, 2], Operations: ['96-66=30', '30/15=2'] Exploring Operation: 65+2=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 22, 34, 8, 47 ]
49
[ "34-22=12", "8*12=96", "96-47=49" ]
Current State: 49:[22, 34, 8, 47], Operations: [] Exploring Operation: 34-22=12, Resulting Numbers: [8, 47, 12] Generated Node #2: [8, 47, 12] from Operation: 34-22=12 Current State: 49:[8, 47, 12], Operations: ['34-22=12'] Exploring Operation: 8*12=96, Resulting Numbers: [47, 96] Generated Node #3: [47, 96] from Operation: 8*12=96 Current State: 49:[47, 96], Operations: ['34-22=12', '8*12=96'] Exploring Operation: 96-47=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 30, 2, 90, 68 ]
74
[ "30/2=15", "90/15=6", "68+6=74" ]
Current State: 74:[30, 2, 90, 68], Operations: [] Exploring Operation: 30/2=15, Resulting Numbers: [90, 68, 15] Generated Node #2: [90, 68, 15] from Operation: 30/2=15 Current State: 74:[90, 68, 15], Operations: ['30/2=15'] Exploring Operation: 90/15=6, Resulting Numbers: [68, 6] Generated Node #3: [68, 6] from Operation: 90/15=6 Current State: 74:[68, 6], Operations: ['30/2=15', '90/15=6'] Exploring Operation: 68+6=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 52, 65, 74, 22 ]
65
[ "52+65=117", "74-22=52", "117-52=65" ]
Current State: 65:[52, 65, 74, 22], Operations: [] Exploring Operation: 52+65=117, Resulting Numbers: [74, 22, 117] Generated Node #2: [74, 22, 117] from Operation: 52+65=117 Current State: 65:[74, 22, 117], Operations: ['52+65=117'] Exploring Operation: 74-22=52, Resulting Numbers: [117, 52] Generated Node #3: [117, 52] from Operation: 74-22=52 Current State: 65:[117, 52], Operations: ['52+65=117', '74-22=52'] Exploring Operation: 117-52=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 93, 78, 89, 36 ]
69
[ "93-89=4", "36/4=9", "78-9=69" ]
Current State: 69:[93, 78, 89, 36], Operations: [] Exploring Operation: 93-89=4, Resulting Numbers: [78, 36, 4] Generated Node #2: [78, 36, 4] from Operation: 93-89=4 Current State: 69:[78, 36, 4], Operations: ['93-89=4'] Exploring Operation: 36/4=9, Resulting Numbers: [78, 9] Generated Node #3: [78, 9] from Operation: 36/4=9 Current State: 69:[78, 9], Operations: ['93-89=4', '36/4=9'] Exploring Operation: 78-9=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 46, 68, 33, 88 ]
59
[ "46+68=114", "88-33=55", "114-55=59" ]
Current State: 59:[46, 68, 33, 88], Operations: [] Exploring Operation: 46+68=114, Resulting Numbers: [33, 88, 114] Generated Node #2: [33, 88, 114] from Operation: 46+68=114 Current State: 59:[33, 88, 114], Operations: ['46+68=114'] Exploring Operation: 88-33=55, Resulting Numbers: [114, 55] Generated Node #3: [114, 55] from Operation: 88-33=55 Current State: 59:[114, 55], Operations: ['46+68=114', '88-33=55'] Exploring Operation: 114-55=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 76, 90, 70, 68 ]
28
[ "76+90=166", "70+68=138", "166-138=28" ]
Current State: 28:[76, 90, 70, 68], Operations: [] Exploring Operation: 76+90=166, Resulting Numbers: [70, 68, 166] Generated Node #2: [70, 68, 166] from Operation: 76+90=166 Current State: 28:[70, 68, 166], Operations: ['76+90=166'] Exploring Operation: 70+68=138, Resulting Numbers: [166, 138] Generated Node #3: [166, 138] from Operation: 70+68=138 Current State: 28:[166, 138], Operations: ['76+90=166', '70+68=138'] Exploring Operation: 166-138=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 43, 13, 56, 48 ]
63
[ "43+48=91", "91/13=7", "56+7=63" ]
Current State: 63:[43, 13, 56, 48], Operations: [] Exploring Operation: 43+48=91, Resulting Numbers: [13, 56, 91] Generated Node #2: [13, 56, 91] from Operation: 43+48=91 Current State: 63:[13, 56, 91], Operations: ['43+48=91'] Exploring Operation: 91/13=7, Resulting Numbers: [56, 7] Generated Node #3: [56, 7] from Operation: 91/13=7 Current State: 63:[56, 7], Operations: ['43+48=91', '91/13=7'] Exploring Operation: 56+7=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 13, 14, 90, 50 ]
23
[ "90+50=140", "140/14=10", "13+10=23" ]
Current State: 23:[13, 14, 90, 50], Operations: [] Exploring Operation: 90+50=140, Resulting Numbers: [13, 14, 140] Generated Node #2: [13, 14, 140] from Operation: 90+50=140 Current State: 23:[13, 14, 140], Operations: ['90+50=140'] Exploring Operation: 140/14=10, Resulting Numbers: [13, 10] Generated Node #3: [13, 10] from Operation: 140/14=10 Current State: 23:[13, 10], Operations: ['90+50=140', '140/14=10'] Exploring Operation: 13+10=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 46, 4, 63, 19 ]
33
[ "46+63=109", "4*19=76", "109-76=33" ]
Current State: 33:[46, 4, 63, 19], Operations: [] Exploring Operation: 46+63=109, Resulting Numbers: [4, 19, 109] Generated Node #2: [4, 19, 109] from Operation: 46+63=109 Current State: 33:[4, 19, 109], Operations: ['46+63=109'] Exploring Operation: 4*19=76, Resulting Numbers: [109, 76] Generated Node #3: [109, 76] from Operation: 4*19=76 Current State: 33:[109, 76], Operations: ['46+63=109', '4*19=76'] Exploring Operation: 109-76=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 96, 56, 32, 87 ]
48
[ "32*87=2784", "2784-96=2688", "2688/56=48" ]
Current State: 48:[96, 56, 32, 87], Operations: [] Exploring Operation: 32*87=2784, Resulting Numbers: [96, 56, 2784] Generated Node #2: [96, 56, 2784] from Operation: 32*87=2784 Current State: 48:[96, 56, 2784], Operations: ['32*87=2784'] Exploring Operation: 2784-96=2688, Resulting Numbers: [56, 2688] Generated Node #3: [56, 2688] from Operation: 2784-96=2688 Current State: 48:[56, 2688], Operations: ['32*87=2784', '2784-96=2688'] Exploring Operation: 2688/56=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 96, 11, 76, 46 ]
55
[ "96-11=85", "76-46=30", "85-30=55" ]
Current State: 55:[96, 11, 76, 46], Operations: [] Exploring Operation: 96-11=85, Resulting Numbers: [76, 46, 85] Generated Node #2: [76, 46, 85] from Operation: 96-11=85 Current State: 55:[76, 46, 85], Operations: ['96-11=85'] Exploring Operation: 76-46=30, Resulting Numbers: [85, 30] Generated Node #3: [85, 30] from Operation: 76-46=30 Current State: 55:[85, 30], Operations: ['96-11=85', '76-46=30'] Exploring Operation: 85-30=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 36, 33, 5, 99 ]
77
[ "33-5=28", "99*28=2772", "2772/36=77" ]
Current State: 77:[36, 33, 5, 99], Operations: [] Exploring Operation: 33-5=28, Resulting Numbers: [36, 99, 28] Generated Node #2: [36, 99, 28] from Operation: 33-5=28 Current State: 77:[36, 99, 28], Operations: ['33-5=28'] Exploring Operation: 99*28=2772, Resulting Numbers: [36, 2772] Generated Node #3: [36, 2772] from Operation: 99*28=2772 Current State: 77:[36, 2772], Operations: ['33-5=28', '99*28=2772'] Exploring Operation: 2772/36=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 95, 79, 22, 49 ]
11
[ "95-79=16", "49-22=27", "27-16=11" ]
Current State: 11:[95, 79, 22, 49], Operations: [] Exploring Operation: 95-79=16, Resulting Numbers: [22, 49, 16] Generated Node #2: [22, 49, 16] from Operation: 95-79=16 Current State: 11:[22, 49, 16], Operations: ['95-79=16'] Exploring Operation: 49-22=27, Resulting Numbers: [16, 27] Generated Node #3: [16, 27] from Operation: 49-22=27 Current State: 11:[16, 27], Operations: ['95-79=16', '49-22=27'] Exploring Operation: 27-16=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 56, 18, 51, 14 ]
65
[ "56/14=4", "18+51=69", "69-4=65" ]
Current State: 65:[56, 18, 51, 14], Operations: [] Exploring Operation: 56/14=4, Resulting Numbers: [18, 51, 4] Generated Node #2: [18, 51, 4] from Operation: 56/14=4 Current State: 65:[18, 51, 4], Operations: ['56/14=4'] Exploring Operation: 18+51=69, Resulting Numbers: [4, 69] Generated Node #3: [4, 69] from Operation: 18+51=69 Current State: 65:[4, 69], Operations: ['56/14=4', '18+51=69'] Exploring Operation: 69-4=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 41, 50, 39, 59 ]
29
[ "50-41=9", "59-39=20", "9+20=29" ]
Current State: 29:[41, 50, 39, 59], Operations: [] Exploring Operation: 50-41=9, Resulting Numbers: [39, 59, 9] Generated Node #2: [39, 59, 9] from Operation: 50-41=9 Current State: 29:[39, 59, 9], Operations: ['50-41=9'] Exploring Operation: 59-39=20, Resulting Numbers: [9, 20] Generated Node #3: [9, 20] from Operation: 59-39=20 Current State: 29:[9, 20], Operations: ['50-41=9', '59-39=20'] Exploring Operation: 9+20=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 11, 14, 14, 7 ]
73
[ "11+14=25", "14*7=98", "98-25=73" ]
Current State: 73:[11, 14, 14, 7], Operations: [] Exploring Operation: 11+14=25, Resulting Numbers: [7, 25] Generated Node #2: [7, 25] from Operation: 11+14=25 Current State: 73:[7, 25], Operations: ['11+14=25'] Exploring Operation: 14*7=98, Resulting Numbers: [25, 98] Generated Node #3: [25, 98] from Operation: 14*7=98 Current State: 73:[25, 98], Operations: ['11+14=25', '14*7=98'] Exploring Operation: 98-25=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 73, 81, 75, 15 ]
94
[ "73+81=154", "75-15=60", "154-60=94" ]
Current State: 94:[73, 81, 75, 15], Operations: [] Exploring Operation: 73+81=154, Resulting Numbers: [75, 15, 154] Generated Node #2: [75, 15, 154] from Operation: 73+81=154 Current State: 94:[75, 15, 154], Operations: ['73+81=154'] Exploring Operation: 75-15=60, Resulting Numbers: [154, 60] Generated Node #3: [154, 60] from Operation: 75-15=60 Current State: 94:[154, 60], Operations: ['73+81=154', '75-15=60'] Exploring Operation: 154-60=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 35, 44, 11, 80 ]
55
[ "44/11=4", "80/4=20", "35+20=55" ]
Current State: 55:[35, 44, 11, 80], Operations: [] Exploring Operation: 44/11=4, Resulting Numbers: [35, 80, 4] Generated Node #2: [35, 80, 4] from Operation: 44/11=4 Current State: 55:[35, 80, 4], Operations: ['44/11=4'] Exploring Operation: 80/4=20, Resulting Numbers: [35, 20] Generated Node #3: [35, 20] from Operation: 80/4=20 Current State: 55:[35, 20], Operations: ['44/11=4', '80/4=20'] Exploring Operation: 35+20=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 2, 22, 68, 78 ]
10
[ "22-2=20", "78-68=10", "20-10=10" ]
Current State: 10:[2, 22, 68, 78], Operations: [] Exploring Operation: 22-2=20, Resulting Numbers: [68, 78, 20] Generated Node #2: [68, 78, 20] from Operation: 22-2=20 Current State: 10:[68, 78, 20], Operations: ['22-2=20'] Exploring Operation: 78-68=10, Resulting Numbers: [20, 10] Generated Node #3: [20, 10] from Operation: 78-68=10 Current State: 10:[20, 10], Operations: ['22-2=20', '78-68=10'] Exploring Operation: 20-10=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 50, 43, 37, 84 ]
54
[ "50-43=7", "84-37=47", "7+47=54" ]
Current State: 54:[50, 43, 37, 84], Operations: [] Exploring Operation: 50-43=7, Resulting Numbers: [37, 84, 7] Generated Node #2: [37, 84, 7] from Operation: 50-43=7 Current State: 54:[37, 84, 7], Operations: ['50-43=7'] Exploring Operation: 84-37=47, Resulting Numbers: [7, 47] Generated Node #3: [7, 47] from Operation: 84-37=47 Current State: 54:[7, 47], Operations: ['50-43=7', '84-37=47'] Exploring Operation: 7+47=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 21, 36, 50, 69 ]
34
[ "36-21=15", "69-50=19", "15+19=34" ]
Current State: 34:[21, 36, 50, 69], Operations: [] Exploring Operation: 36-21=15, Resulting Numbers: [50, 69, 15] Generated Node #2: [50, 69, 15] from Operation: 36-21=15 Current State: 34:[50, 69, 15], Operations: ['36-21=15'] Exploring Operation: 69-50=19, Resulting Numbers: [15, 19] Generated Node #3: [15, 19] from Operation: 69-50=19 Current State: 34:[15, 19], Operations: ['36-21=15', '69-50=19'] Exploring Operation: 15+19=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 98, 56, 58, 23 ]
73
[ "98+56=154", "58+23=81", "154-81=73" ]
Current State: 73:[98, 56, 58, 23], Operations: [] Exploring Operation: 98+56=154, Resulting Numbers: [58, 23, 154] Generated Node #2: [58, 23, 154] from Operation: 98+56=154 Current State: 73:[58, 23, 154], Operations: ['98+56=154'] Exploring Operation: 58+23=81, Resulting Numbers: [154, 81] Generated Node #3: [154, 81] from Operation: 58+23=81 Current State: 73:[154, 81], Operations: ['98+56=154', '58+23=81'] Exploring Operation: 154-81=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 16, 54, 6, 4 ]
86
[ "6-4=2", "16*2=32", "54+32=86" ]
Current State: 86:[16, 54, 6, 4], Operations: [] Exploring Operation: 6-4=2, Resulting Numbers: [16, 54, 2] Generated Node #2: [16, 54, 2] from Operation: 6-4=2 Current State: 86:[16, 54, 2], Operations: ['6-4=2'] Exploring Operation: 16*2=32, Resulting Numbers: [54, 32] Generated Node #3: [54, 32] from Operation: 16*2=32 Current State: 86:[54, 32], Operations: ['6-4=2', '16*2=32'] Exploring Operation: 54+32=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 16, 28, 3, 66 ]
98
[ "66-28=38", "3*38=114", "114-16=98" ]
Current State: 98:[16, 28, 3, 66], Operations: [] Exploring Operation: 66-28=38, Resulting Numbers: [16, 3, 38] Generated Node #2: [16, 3, 38] from Operation: 66-28=38 Current State: 98:[16, 3, 38], Operations: ['66-28=38'] Exploring Operation: 3*38=114, Resulting Numbers: [16, 114] Generated Node #3: [16, 114] from Operation: 3*38=114 Current State: 98:[16, 114], Operations: ['66-28=38', '3*38=114'] Exploring Operation: 114-16=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 49, 25, 63, 28 ]
28
[ "49-28=21", "63/21=3", "25+3=28" ]
Current State: 28:[49, 25, 63, 28], Operations: [] Exploring Operation: 49-28=21, Resulting Numbers: [25, 63, 21] Generated Node #2: [25, 63, 21] from Operation: 49-28=21 Current State: 28:[25, 63, 21], Operations: ['49-28=21'] Exploring Operation: 63/21=3, Resulting Numbers: [25, 3] Generated Node #3: [25, 3] from Operation: 63/21=3 Current State: 28:[25, 3], Operations: ['49-28=21', '63/21=3'] Exploring Operation: 25+3=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 77, 84, 82, 3 ]
71
[ "84-82=2", "3*2=6", "77-6=71" ]
Current State: 71:[77, 84, 82, 3], Operations: [] Exploring Operation: 84-82=2, Resulting Numbers: [77, 3, 2] Generated Node #2: [77, 3, 2] from Operation: 84-82=2 Current State: 71:[77, 3, 2], Operations: ['84-82=2'] Exploring Operation: 3*2=6, Resulting Numbers: [77, 6] Generated Node #3: [77, 6] from Operation: 3*2=6 Current State: 71:[77, 6], Operations: ['84-82=2', '3*2=6'] Exploring Operation: 77-6=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 87, 49, 19, 95 ]
60
[ "87+49=136", "95-19=76", "136-76=60" ]
Current State: 60:[87, 49, 19, 95], Operations: [] Exploring Operation: 87+49=136, Resulting Numbers: [19, 95, 136] Generated Node #2: [19, 95, 136] from Operation: 87+49=136 Current State: 60:[19, 95, 136], Operations: ['87+49=136'] Exploring Operation: 95-19=76, Resulting Numbers: [136, 76] Generated Node #3: [136, 76] from Operation: 95-19=76 Current State: 60:[136, 76], Operations: ['87+49=136', '95-19=76'] Exploring Operation: 136-76=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 16, 12, 2, 61 ]
55
[ "16-12=4", "61-2=59", "59-4=55" ]
Current State: 55:[16, 12, 2, 61], Operations: [] Exploring Operation: 16-12=4, Resulting Numbers: [2, 61, 4] Generated Node #2: [2, 61, 4] from Operation: 16-12=4 Current State: 55:[2, 61, 4], Operations: ['16-12=4'] Exploring Operation: 61-2=59, Resulting Numbers: [4, 59] Generated Node #3: [4, 59] from Operation: 61-2=59 Current State: 55:[4, 59], Operations: ['16-12=4', '61-2=59'] Exploring Operation: 59-4=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 75, 19, 12, 96 ]
24
[ "75+19=94", "96-94=2", "12*2=24" ]
Current State: 24:[75, 19, 12, 96], Operations: [] Exploring Operation: 75+19=94, Resulting Numbers: [12, 96, 94] Generated Node #2: [12, 96, 94] from Operation: 75+19=94 Current State: 24:[12, 96, 94], Operations: ['75+19=94'] Exploring Operation: 96-94=2, Resulting Numbers: [12, 2] Generated Node #3: [12, 2] from Operation: 96-94=2 Current State: 24:[12, 2], Operations: ['75+19=94', '96-94=2'] Exploring Operation: 12*2=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 25, 59, 39, 58 ]
13
[ "25+59=84", "39+58=97", "97-84=13" ]
Current State: 13:[25, 59, 39, 58], Operations: [] Exploring Operation: 25+59=84, Resulting Numbers: [39, 58, 84] Generated Node #2: [39, 58, 84] from Operation: 25+59=84 Current State: 13:[39, 58, 84], Operations: ['25+59=84'] Exploring Operation: 39+58=97, Resulting Numbers: [84, 97] Generated Node #3: [84, 97] from Operation: 39+58=97 Current State: 13:[84, 97], Operations: ['25+59=84', '39+58=97'] Exploring Operation: 97-84=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 18, 61, 77, 74 ]
55
[ "77-74=3", "18/3=6", "61-6=55" ]
Current State: 55:[18, 61, 77, 74], Operations: [] Exploring Operation: 77-74=3, Resulting Numbers: [18, 61, 3] Generated Node #2: [18, 61, 3] from Operation: 77-74=3 Current State: 55:[18, 61, 3], Operations: ['77-74=3'] Exploring Operation: 18/3=6, Resulting Numbers: [61, 6] Generated Node #3: [61, 6] from Operation: 18/3=6 Current State: 55:[61, 6], Operations: ['77-74=3', '18/3=6'] Exploring Operation: 61-6=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 19, 24, 94, 88 ]
23
[ "94-88=6", "24/6=4", "19+4=23" ]
Current State: 23:[19, 24, 94, 88], Operations: [] Exploring Operation: 94-88=6, Resulting Numbers: [19, 24, 6] Generated Node #2: [19, 24, 6] from Operation: 94-88=6 Current State: 23:[19, 24, 6], Operations: ['94-88=6'] Exploring Operation: 24/6=4, Resulting Numbers: [19, 4] Generated Node #3: [19, 4] from Operation: 24/6=4 Current State: 23:[19, 4], Operations: ['94-88=6', '24/6=4'] Exploring Operation: 19+4=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 82, 84, 44, 51 ]
73
[ "84-82=2", "44/2=22", "51+22=73" ]
Current State: 73:[82, 84, 44, 51], Operations: [] Exploring Operation: 84-82=2, Resulting Numbers: [44, 51, 2] Generated Node #2: [44, 51, 2] from Operation: 84-82=2 Current State: 73:[44, 51, 2], Operations: ['84-82=2'] Exploring Operation: 44/2=22, Resulting Numbers: [51, 22] Generated Node #3: [51, 22] from Operation: 44/2=22 Current State: 73:[51, 22], Operations: ['84-82=2', '44/2=22'] Exploring Operation: 51+22=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 73, 80, 68, 67 ]
18
[ "73+80=153", "68+67=135", "153-135=18" ]
Current State: 18:[73, 80, 68, 67], Operations: [] Exploring Operation: 73+80=153, Resulting Numbers: [68, 67, 153] Generated Node #2: [68, 67, 153] from Operation: 73+80=153 Current State: 18:[68, 67, 153], Operations: ['73+80=153'] Exploring Operation: 68+67=135, Resulting Numbers: [153, 135] Generated Node #3: [153, 135] from Operation: 68+67=135 Current State: 18:[153, 135], Operations: ['73+80=153', '68+67=135'] Exploring Operation: 153-135=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 96, 91, 89, 81 ]
68
[ "96-89=7", "91/7=13", "81-13=68" ]
Current State: 68:[96, 91, 89, 81], Operations: [] Exploring Operation: 96-89=7, Resulting Numbers: [91, 81, 7] Generated Node #2: [91, 81, 7] from Operation: 96-89=7 Current State: 68:[91, 81, 7], Operations: ['96-89=7'] Exploring Operation: 91/7=13, Resulting Numbers: [81, 13] Generated Node #3: [81, 13] from Operation: 91/7=13 Current State: 68:[81, 13], Operations: ['96-89=7', '91/7=13'] Exploring Operation: 81-13=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 36, 12, 78, 93 ]
33
[ "36+12=48", "93-78=15", "48-15=33" ]
Current State: 33:[36, 12, 78, 93], Operations: [] Exploring Operation: 36+12=48, Resulting Numbers: [78, 93, 48] Generated Node #2: [78, 93, 48] from Operation: 36+12=48 Current State: 33:[78, 93, 48], Operations: ['36+12=48'] Exploring Operation: 93-78=15, Resulting Numbers: [48, 15] Generated Node #3: [48, 15] from Operation: 93-78=15 Current State: 33:[48, 15], Operations: ['36+12=48', '93-78=15'] Exploring Operation: 48-15=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 85, 19, 93, 31 ]
20
[ "85+19=104", "93+31=124", "124-104=20" ]
Current State: 20:[85, 19, 93, 31], Operations: [] Exploring Operation: 85+19=104, Resulting Numbers: [93, 31, 104] Generated Node #2: [93, 31, 104] from Operation: 85+19=104 Current State: 20:[93, 31, 104], Operations: ['85+19=104'] Exploring Operation: 93+31=124, Resulting Numbers: [104, 124] Generated Node #3: [104, 124] from Operation: 93+31=124 Current State: 20:[104, 124], Operations: ['85+19=104', '93+31=124'] Exploring Operation: 124-104=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 60, 68, 64, 78 ]
86
[ "68-60=8", "64/8=8", "78+8=86" ]
Current State: 86:[60, 68, 64, 78], Operations: [] Exploring Operation: 68-60=8, Resulting Numbers: [64, 78, 8] Generated Node #2: [64, 78, 8] from Operation: 68-60=8 Current State: 86:[64, 78, 8], Operations: ['68-60=8'] Exploring Operation: 64/8=8, Resulting Numbers: [78, 8] Generated Node #3: [78, 8] from Operation: 64/8=8 Current State: 86:[78, 8], Operations: ['68-60=8', '64/8=8'] Exploring Operation: 78+8=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 54, 37, 23, 32 ]
38
[ "54-37=17", "23+32=55", "55-17=38" ]
Current State: 38:[54, 37, 23, 32], Operations: [] Exploring Operation: 54-37=17, Resulting Numbers: [23, 32, 17] Generated Node #2: [23, 32, 17] from Operation: 54-37=17 Current State: 38:[23, 32, 17], Operations: ['54-37=17'] Exploring Operation: 23+32=55, Resulting Numbers: [17, 55] Generated Node #3: [17, 55] from Operation: 23+32=55 Current State: 38:[17, 55], Operations: ['54-37=17', '23+32=55'] Exploring Operation: 55-17=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 44, 9, 35, 34 ]
55
[ "44-34=10", "9*10=90", "90-35=55" ]
Current State: 55:[44, 9, 35, 34], Operations: [] Exploring Operation: 44-34=10, Resulting Numbers: [9, 35, 10] Generated Node #2: [9, 35, 10] from Operation: 44-34=10 Current State: 55:[9, 35, 10], Operations: ['44-34=10'] Exploring Operation: 9*10=90, Resulting Numbers: [35, 90] Generated Node #3: [35, 90] from Operation: 9*10=90 Current State: 55:[35, 90], Operations: ['44-34=10', '9*10=90'] Exploring Operation: 90-35=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 28, 43, 9, 50 ]
74
[ "43-28=15", "9+50=59", "15+59=74" ]
Current State: 74:[28, 43, 9, 50], Operations: [] Exploring Operation: 43-28=15, Resulting Numbers: [9, 50, 15] Generated Node #2: [9, 50, 15] from Operation: 43-28=15 Current State: 74:[9, 50, 15], Operations: ['43-28=15'] Exploring Operation: 9+50=59, Resulting Numbers: [15, 59] Generated Node #3: [15, 59] from Operation: 9+50=59 Current State: 74:[15, 59], Operations: ['43-28=15', '9+50=59'] Exploring Operation: 15+59=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 35, 15, 72, 33 ]
59
[ "35-15=20", "72-33=39", "20+39=59" ]
Current State: 59:[35, 15, 72, 33], Operations: [] Exploring Operation: 35-15=20, Resulting Numbers: [72, 33, 20] Generated Node #2: [72, 33, 20] from Operation: 35-15=20 Current State: 59:[72, 33, 20], Operations: ['35-15=20'] Exploring Operation: 72-33=39, Resulting Numbers: [20, 39] Generated Node #3: [20, 39] from Operation: 72-33=39 Current State: 59:[20, 39], Operations: ['35-15=20', '72-33=39'] Exploring Operation: 20+39=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 22, 6, 84, 36 ]
84
[ "22*6=132", "84-36=48", "132-48=84" ]
Current State: 84:[22, 6, 84, 36], Operations: [] Exploring Operation: 22*6=132, Resulting Numbers: [84, 36, 132] Generated Node #2: [84, 36, 132] from Operation: 22*6=132 Current State: 84:[84, 36, 132], Operations: ['22*6=132'] Exploring Operation: 84-36=48, Resulting Numbers: [132, 48] Generated Node #3: [132, 48] from Operation: 84-36=48 Current State: 84:[132, 48], Operations: ['22*6=132', '84-36=48'] Exploring Operation: 132-48=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 85, 33, 73, 59 ]
71
[ "85+33=118", "118/59=2", "73-2=71" ]
Current State: 71:[85, 33, 73, 59], Operations: [] Exploring Operation: 85+33=118, Resulting Numbers: [73, 59, 118] Generated Node #2: [73, 59, 118] from Operation: 85+33=118 Current State: 71:[73, 59, 118], Operations: ['85+33=118'] Exploring Operation: 118/59=2, Resulting Numbers: [73, 2] Generated Node #3: [73, 2] from Operation: 118/59=2 Current State: 71:[73, 2], Operations: ['85+33=118', '118/59=2'] Exploring Operation: 73-2=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 10, 76, 74, 71 ]
91
[ "76-74=2", "10*2=20", "71+20=91" ]
Current State: 91:[10, 76, 74, 71], Operations: [] Exploring Operation: 76-74=2, Resulting Numbers: [10, 71, 2] Generated Node #2: [10, 71, 2] from Operation: 76-74=2 Current State: 91:[10, 71, 2], Operations: ['76-74=2'] Exploring Operation: 10*2=20, Resulting Numbers: [71, 20] Generated Node #3: [71, 20] from Operation: 10*2=20 Current State: 91:[71, 20], Operations: ['76-74=2', '10*2=20'] Exploring Operation: 71+20=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 12, 91, 67, 72 ]
98
[ "12+91=103", "72-67=5", "103-5=98" ]
Current State: 98:[12, 91, 67, 72], Operations: [] Exploring Operation: 12+91=103, Resulting Numbers: [67, 72, 103] Generated Node #2: [67, 72, 103] from Operation: 12+91=103 Current State: 98:[67, 72, 103], Operations: ['12+91=103'] Exploring Operation: 72-67=5, Resulting Numbers: [103, 5] Generated Node #3: [103, 5] from Operation: 72-67=5 Current State: 98:[103, 5], Operations: ['12+91=103', '72-67=5'] Exploring Operation: 103-5=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 75, 85, 58, 77 ]
29
[ "85-75=10", "77-58=19", "10+19=29" ]
Current State: 29:[75, 85, 58, 77], Operations: [] Exploring Operation: 85-75=10, Resulting Numbers: [58, 77, 10] Generated Node #2: [58, 77, 10] from Operation: 85-75=10 Current State: 29:[58, 77, 10], Operations: ['85-75=10'] Exploring Operation: 77-58=19, Resulting Numbers: [10, 19] Generated Node #3: [10, 19] from Operation: 77-58=19 Current State: 29:[10, 19], Operations: ['85-75=10', '77-58=19'] Exploring Operation: 10+19=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 66, 30, 33, 38 ]
23
[ "66/33=2", "30/2=15", "38-15=23" ]
Current State: 23:[66, 30, 33, 38], Operations: [] Exploring Operation: 66/33=2, Resulting Numbers: [30, 38, 2] Generated Node #2: [30, 38, 2] from Operation: 66/33=2 Current State: 23:[30, 38, 2], Operations: ['66/33=2'] Exploring Operation: 30/2=15, Resulting Numbers: [38, 15] Generated Node #3: [38, 15] from Operation: 30/2=15 Current State: 23:[38, 15], Operations: ['66/33=2', '30/2=15'] Exploring Operation: 38-15=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 75, 34, 67, 53 ]
79
[ "75-34=41", "67+53=120", "120-41=79" ]
Current State: 79:[75, 34, 67, 53], Operations: [] Exploring Operation: 75-34=41, Resulting Numbers: [67, 53, 41] Generated Node #2: [67, 53, 41] from Operation: 75-34=41 Current State: 79:[67, 53, 41], Operations: ['75-34=41'] Exploring Operation: 67+53=120, Resulting Numbers: [41, 120] Generated Node #3: [41, 120] from Operation: 67+53=120 Current State: 79:[41, 120], Operations: ['75-34=41', '67+53=120'] Exploring Operation: 120-41=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 58, 5, 33, 5 ]
90
[ "58+33=91", "5/5=1", "91-1=90" ]
Current State: 90:[58, 5, 33, 5], Operations: [] Exploring Operation: 58+33=91, Resulting Numbers: [5, 5, 91] Generated Node #2: [5, 5, 91] from Operation: 58+33=91 Current State: 90:[5, 5, 91], Operations: ['58+33=91'] Exploring Operation: 5/5=1, Resulting Numbers: [91, 1] Generated Node #3: [91, 1] from Operation: 5/5=1 Current State: 90:[91, 1], Operations: ['58+33=91', '5/5=1'] Exploring Operation: 91-1=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4