Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 71, 95, 61, 97 ]
51
[ "97-95=2", "61*2=122", "122-71=51" ]
Current State: 51:[71, 95, 61, 97], Operations: [] Exploring Operation: 97-95=2, Resulting Numbers: [71, 61, 2] Generated Node #2: [71, 61, 2] from Operation: 97-95=2 Current State: 51:[71, 61, 2], Operations: ['97-95=2'] Exploring Operation: 61*2=122, Resulting Numbers: [71, 122] Generated Node #3: [71, 122] from Operation: 61*2=122 Current State: 51:[71, 122], Operations: ['97-95=2', '61*2=122'] Exploring Operation: 122-71=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 23, 71, 2, 5 ]
88
[ "23*5=115", "115-71=44", "2*44=88" ]
Current State: 88:[23, 71, 2, 5], Operations: [] Exploring Operation: 23*5=115, Resulting Numbers: [71, 2, 115] Generated Node #2: [71, 2, 115] from Operation: 23*5=115 Current State: 88:[71, 2, 115], Operations: ['23*5=115'] Exploring Operation: 115-71=44, Resulting Numbers: [2, 44] Generated Node #3: [2, 44] from Operation: 115-71=44 Current State: 88:[2, 44], Operations: ['23*5=115', '115-71=44'] Exploring Operation: 2*44=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 50, 26, 21, 27 ]
24
[ "50-26=24", "21+27=48", "48-24=24" ]
Current State: 24:[50, 26, 21, 27], Operations: [] Exploring Operation: 50-26=24, Resulting Numbers: [21, 27, 24] Generated Node #2: [21, 27, 24] from Operation: 50-26=24 Current State: 24:[21, 27, 24], Operations: ['50-26=24'] Exploring Operation: 21+27=48, Resulting Numbers: [24, 48] Generated Node #3: [24, 48] from Operation: 21+27=48 Current State: 24:[24, 48], Operations: ['50-26=24', '21+27=48'] Exploring Operation: 48-24=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 13, 39, 68, 52 ]
68
[ "13+39=52", "68+52=120", "120-52=68" ]
Current State: 68:[13, 39, 68, 52], Operations: [] Exploring Operation: 13+39=52, Resulting Numbers: [68, 52, 52] Generated Node #2: [68, 52, 52] from Operation: 13+39=52 Current State: 68:[68, 52, 52], Operations: ['13+39=52'] Exploring Operation: 68+52=120, Resulting Numbers: [120] 120,68 equal: Goal Reached Exploring Operation: 120-52=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 66, 87, 93, 90 ]
26
[ "66+90=156", "93-87=6", "156/6=26" ]
Current State: 26:[66, 87, 93, 90], Operations: [] Exploring Operation: 66+90=156, Resulting Numbers: [87, 93, 156] Generated Node #2: [87, 93, 156] from Operation: 66+90=156 Current State: 26:[87, 93, 156], Operations: ['66+90=156'] Exploring Operation: 93-87=6, Resulting Numbers: [156, 6] Generated Node #3: [156, 6] from Operation: 93-87=6 Current State: 26:[156, 6], Operations: ['66+90=156', '93-87=6'] Exploring Operation: 156/6=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 42, 22, 29, 1 ]
33
[ "42*22=924", "29-1=28", "924/28=33" ]
Current State: 33:[42, 22, 29, 1], Operations: [] Exploring Operation: 42*22=924, Resulting Numbers: [29, 1, 924] Generated Node #2: [29, 1, 924] from Operation: 42*22=924 Current State: 33:[29, 1, 924], Operations: ['42*22=924'] Exploring Operation: 29-1=28, Resulting Numbers: [924, 28] Generated Node #3: [924, 28] from Operation: 29-1=28 Current State: 33:[924, 28], Operations: ['42*22=924', '29-1=28'] Exploring Operation: 924/28=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 48, 53, 41, 2 ]
34
[ "53-48=5", "41-2=39", "39-5=34" ]
Current State: 34:[48, 53, 41, 2], Operations: [] Exploring Operation: 53-48=5, Resulting Numbers: [41, 2, 5] Generated Node #2: [41, 2, 5] from Operation: 53-48=5 Current State: 34:[41, 2, 5], Operations: ['53-48=5'] Exploring Operation: 41-2=39, Resulting Numbers: [5, 39] Generated Node #3: [5, 39] from Operation: 41-2=39 Current State: 34:[5, 39], Operations: ['53-48=5', '41-2=39'] Exploring Operation: 39-5=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 1, 4, 46, 85 ]
34
[ "1+4=5", "85-46=39", "39-5=34" ]
Current State: 34:[1, 4, 46, 85], Operations: [] Exploring Operation: 1+4=5, Resulting Numbers: [46, 85, 5] Generated Node #2: [46, 85, 5] from Operation: 1+4=5 Current State: 34:[46, 85, 5], Operations: ['1+4=5'] Exploring Operation: 85-46=39, Resulting Numbers: [5, 39] Generated Node #3: [5, 39] from Operation: 85-46=39 Current State: 34:[5, 39], Operations: ['1+4=5', '85-46=39'] Exploring Operation: 39-5=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 10, 18, 62, 14 ]
68
[ "18-10=8", "62+14=76", "76-8=68" ]
Current State: 68:[10, 18, 62, 14], Operations: [] Exploring Operation: 18-10=8, Resulting Numbers: [62, 14, 8] Generated Node #2: [62, 14, 8] from Operation: 18-10=8 Current State: 68:[62, 14, 8], Operations: ['18-10=8'] Exploring Operation: 62+14=76, Resulting Numbers: [8, 76] Generated Node #3: [8, 76] from Operation: 62+14=76 Current State: 68:[8, 76], Operations: ['18-10=8', '62+14=76'] Exploring Operation: 76-8=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 55, 63, 50, 27 ]
99
[ "63+27=90", "55*90=4950", "4950/50=99" ]
Current State: 99:[55, 63, 50, 27], Operations: [] Exploring Operation: 63+27=90, Resulting Numbers: [55, 50, 90] Generated Node #2: [55, 50, 90] from Operation: 63+27=90 Current State: 99:[55, 50, 90], Operations: ['63+27=90'] Exploring Operation: 55*90=4950, Resulting Numbers: [50, 4950] Generated Node #3: [50, 4950] from Operation: 55*90=4950 Current State: 99:[50, 4950], Operations: ['63+27=90', '55*90=4950'] Exploring Operation: 4950/50=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 8, 66, 8, 3 ]
18
[ "8+8=16", "3*16=48", "66-48=18" ]
Current State: 18:[8, 66, 8, 3], Operations: [] Exploring Operation: 8+8=16, Resulting Numbers: [66, 3, 16] Generated Node #2: [66, 3, 16] from Operation: 8+8=16 Current State: 18:[66, 3, 16], Operations: ['8+8=16'] Exploring Operation: 3*16=48, Resulting Numbers: [66, 48] Generated Node #3: [66, 48] from Operation: 3*16=48 Current State: 18:[66, 48], Operations: ['8+8=16', '3*16=48'] Exploring Operation: 66-48=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 9, 40, 10, 46 ]
84
[ "9*10=90", "46-40=6", "90-6=84" ]
Current State: 84:[9, 40, 10, 46], Operations: [] Exploring Operation: 9*10=90, Resulting Numbers: [40, 46, 90] Generated Node #2: [40, 46, 90] from Operation: 9*10=90 Current State: 84:[40, 46, 90], Operations: ['9*10=90'] Exploring Operation: 46-40=6, Resulting Numbers: [90, 6] Generated Node #3: [90, 6] from Operation: 46-40=6 Current State: 84:[90, 6], Operations: ['9*10=90', '46-40=6'] Exploring Operation: 90-6=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 33, 9, 4, 15 ]
90
[ "33-9=24", "24/4=6", "15*6=90" ]
Current State: 90:[33, 9, 4, 15], Operations: [] Exploring Operation: 33-9=24, Resulting Numbers: [4, 15, 24] Generated Node #2: [4, 15, 24] from Operation: 33-9=24 Current State: 90:[4, 15, 24], Operations: ['33-9=24'] Exploring Operation: 24/4=6, Resulting Numbers: [15, 6] Generated Node #3: [15, 6] from Operation: 24/4=6 Current State: 90:[15, 6], Operations: ['33-9=24', '24/4=6'] Exploring Operation: 15*6=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 21, 38, 28, 90 ]
39
[ "90-38=52", "21*52=1092", "1092/28=39" ]
Current State: 39:[21, 38, 28, 90], Operations: [] Exploring Operation: 90-38=52, Resulting Numbers: [21, 28, 52] Generated Node #2: [21, 28, 52] from Operation: 90-38=52 Current State: 39:[21, 28, 52], Operations: ['90-38=52'] Exploring Operation: 21*52=1092, Resulting Numbers: [28, 1092] Generated Node #3: [28, 1092] from Operation: 21*52=1092 Current State: 39:[28, 1092], Operations: ['90-38=52', '21*52=1092'] Exploring Operation: 1092/28=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 18, 36, 71, 43 ]
46
[ "36-18=18", "71-43=28", "18+28=46" ]
Current State: 46:[18, 36, 71, 43], Operations: [] Exploring Operation: 36-18=18, Resulting Numbers: [71, 43, 18] Generated Node #2: [71, 43, 18] from Operation: 36-18=18 Current State: 46:[71, 43, 18], Operations: ['36-18=18'] Exploring Operation: 71-43=28, Resulting Numbers: [18, 28] Generated Node #3: [18, 28] from Operation: 71-43=28 Current State: 46:[18, 28], Operations: ['36-18=18', '71-43=28'] Exploring Operation: 18+28=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 25, 1, 12, 72 ]
18
[ "25-1=24", "72/12=6", "24-6=18" ]
Current State: 18:[25, 1, 12, 72], Operations: [] Exploring Operation: 25-1=24, Resulting Numbers: [12, 72, 24] Generated Node #2: [12, 72, 24] from Operation: 25-1=24 Current State: 18:[12, 72, 24], Operations: ['25-1=24'] Exploring Operation: 72/12=6, Resulting Numbers: [24, 6] Generated Node #3: [24, 6] from Operation: 72/12=6 Current State: 18:[24, 6], Operations: ['25-1=24', '72/12=6'] Exploring Operation: 24-6=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 25, 79, 24, 53 ]
27
[ "25+79=104", "24+53=77", "104-77=27" ]
Current State: 27:[25, 79, 24, 53], Operations: [] Exploring Operation: 25+79=104, Resulting Numbers: [24, 53, 104] Generated Node #2: [24, 53, 104] from Operation: 25+79=104 Current State: 27:[24, 53, 104], Operations: ['25+79=104'] Exploring Operation: 24+53=77, Resulting Numbers: [104, 77] Generated Node #3: [104, 77] from Operation: 24+53=77 Current State: 27:[104, 77], Operations: ['25+79=104', '24+53=77'] Exploring Operation: 104-77=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 75, 32, 50, 67 ]
10
[ "75+32=107", "50+67=117", "117-107=10" ]
Current State: 10:[75, 32, 50, 67], Operations: [] Exploring Operation: 75+32=107, Resulting Numbers: [50, 67, 107] Generated Node #2: [50, 67, 107] from Operation: 75+32=107 Current State: 10:[50, 67, 107], Operations: ['75+32=107'] Exploring Operation: 50+67=117, Resulting Numbers: [107, 117] Generated Node #3: [107, 117] from Operation: 50+67=117 Current State: 10:[107, 117], Operations: ['75+32=107', '50+67=117'] Exploring Operation: 117-107=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 2, 39, 71, 82 ]
96
[ "39+71=110", "82+110=192", "192/2=96" ]
Current State: 96:[2, 39, 71, 82], Operations: [] Exploring Operation: 39+71=110, Resulting Numbers: [2, 82, 110] Generated Node #2: [2, 82, 110] from Operation: 39+71=110 Current State: 96:[2, 82, 110], Operations: ['39+71=110'] Exploring Operation: 82+110=192, Resulting Numbers: [2, 192] Generated Node #3: [2, 192] from Operation: 82+110=192 Current State: 96:[2, 192], Operations: ['39+71=110', '82+110=192'] Exploring Operation: 192/2=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 51, 55, 66, 96 ]
90
[ "55-51=4", "96/4=24", "66+24=90" ]
Current State: 90:[51, 55, 66, 96], Operations: [] Exploring Operation: 55-51=4, Resulting Numbers: [66, 96, 4] Generated Node #2: [66, 96, 4] from Operation: 55-51=4 Current State: 90:[66, 96, 4], Operations: ['55-51=4'] Exploring Operation: 96/4=24, Resulting Numbers: [66, 24] Generated Node #3: [66, 24] from Operation: 96/4=24 Current State: 90:[66, 24], Operations: ['55-51=4', '96/4=24'] Exploring Operation: 66+24=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 20, 80, 94, 86 ]
71
[ "94+86=180", "180/20=9", "80-9=71" ]
Current State: 71:[20, 80, 94, 86], Operations: [] Exploring Operation: 94+86=180, Resulting Numbers: [20, 80, 180] Generated Node #2: [20, 80, 180] from Operation: 94+86=180 Current State: 71:[20, 80, 180], Operations: ['94+86=180'] Exploring Operation: 180/20=9, Resulting Numbers: [80, 9] Generated Node #3: [80, 9] from Operation: 180/20=9 Current State: 71:[80, 9], Operations: ['94+86=180', '180/20=9'] Exploring Operation: 80-9=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 18, 27, 3, 63 ]
69
[ "27-18=9", "63-3=60", "9+60=69" ]
Current State: 69:[18, 27, 3, 63], Operations: [] Exploring Operation: 27-18=9, Resulting Numbers: [3, 63, 9] Generated Node #2: [3, 63, 9] from Operation: 27-18=9 Current State: 69:[3, 63, 9], Operations: ['27-18=9'] Exploring Operation: 63-3=60, Resulting Numbers: [9, 60] Generated Node #3: [9, 60] from Operation: 63-3=60 Current State: 69:[9, 60], Operations: ['27-18=9', '63-3=60'] Exploring Operation: 9+60=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 21, 96, 18, 30 ]
63
[ "96-21=75", "30-18=12", "75-12=63" ]
Current State: 63:[21, 96, 18, 30], Operations: [] Exploring Operation: 96-21=75, Resulting Numbers: [18, 30, 75] Generated Node #2: [18, 30, 75] from Operation: 96-21=75 Current State: 63:[18, 30, 75], Operations: ['96-21=75'] Exploring Operation: 30-18=12, Resulting Numbers: [75, 12] Generated Node #3: [75, 12] from Operation: 30-18=12 Current State: 63:[75, 12], Operations: ['96-21=75', '30-18=12'] Exploring Operation: 75-12=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 10, 87, 39, 41 ]
38
[ "39-10=29", "87/29=3", "41-3=38" ]
Current State: 38:[10, 87, 39, 41], Operations: [] Exploring Operation: 39-10=29, Resulting Numbers: [87, 41, 29] Generated Node #2: [87, 41, 29] from Operation: 39-10=29 Current State: 38:[87, 41, 29], Operations: ['39-10=29'] Exploring Operation: 87/29=3, Resulting Numbers: [41, 3] Generated Node #3: [41, 3] from Operation: 87/29=3 Current State: 38:[41, 3], Operations: ['39-10=29', '87/29=3'] Exploring Operation: 41-3=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 71, 40, 15, 62 ]
78
[ "71-40=31", "62-15=47", "31+47=78" ]
Current State: 78:[71, 40, 15, 62], Operations: [] Exploring Operation: 71-40=31, Resulting Numbers: [15, 62, 31] Generated Node #2: [15, 62, 31] from Operation: 71-40=31 Current State: 78:[15, 62, 31], Operations: ['71-40=31'] Exploring Operation: 62-15=47, Resulting Numbers: [31, 47] Generated Node #3: [31, 47] from Operation: 62-15=47 Current State: 78:[31, 47], Operations: ['71-40=31', '62-15=47'] Exploring Operation: 31+47=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 96, 11, 24, 15 ]
29
[ "96*11=1056", "1056/24=44", "44-15=29" ]
Current State: 29:[96, 11, 24, 15], Operations: [] Exploring Operation: 96*11=1056, Resulting Numbers: [24, 15, 1056] Generated Node #2: [24, 15, 1056] from Operation: 96*11=1056 Current State: 29:[24, 15, 1056], Operations: ['96*11=1056'] Exploring Operation: 1056/24=44, Resulting Numbers: [15, 44] Generated Node #3: [15, 44] from Operation: 1056/24=44 Current State: 29:[15, 44], Operations: ['96*11=1056', '1056/24=44'] Exploring Operation: 44-15=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 74, 77, 79, 14 ]
96
[ "77-74=3", "79+14=93", "3+93=96" ]
Current State: 96:[74, 77, 79, 14], Operations: [] Exploring Operation: 77-74=3, Resulting Numbers: [79, 14, 3] Generated Node #2: [79, 14, 3] from Operation: 77-74=3 Current State: 96:[79, 14, 3], Operations: ['77-74=3'] Exploring Operation: 79+14=93, Resulting Numbers: [3, 93] Generated Node #3: [3, 93] from Operation: 79+14=93 Current State: 96:[3, 93], Operations: ['77-74=3', '79+14=93'] Exploring Operation: 3+93=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 19, 66, 18, 8 ]
59
[ "19+66=85", "18+8=26", "85-26=59" ]
Current State: 59:[19, 66, 18, 8], Operations: [] Exploring Operation: 19+66=85, Resulting Numbers: [18, 8, 85] Generated Node #2: [18, 8, 85] from Operation: 19+66=85 Current State: 59:[18, 8, 85], Operations: ['19+66=85'] Exploring Operation: 18+8=26, Resulting Numbers: [85, 26] Generated Node #3: [85, 26] from Operation: 18+8=26 Current State: 59:[85, 26], Operations: ['19+66=85', '18+8=26'] Exploring Operation: 85-26=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 45, 5, 51, 79 ]
79
[ "45+5=50", "51-50=1", "79*1=79" ]
Current State: 79:[45, 5, 51, 79], Operations: [] Exploring Operation: 45+5=50, Resulting Numbers: [51, 79, 50] Generated Node #2: [51, 79, 50] from Operation: 45+5=50 Current State: 79:[51, 79, 50], Operations: ['45+5=50'] Exploring Operation: 51-50=1, Resulting Numbers: [79, 1] Generated Node #3: [79, 1] from Operation: 51-50=1 Current State: 79:[79, 1], Operations: ['45+5=50', '51-50=1'] Exploring Operation: 79*1=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 12, 36, 33, 77 ]
20
[ "36-12=24", "77-33=44", "44-24=20" ]
Current State: 20:[12, 36, 33, 77], Operations: [] Exploring Operation: 36-12=24, Resulting Numbers: [33, 77, 24] Generated Node #2: [33, 77, 24] from Operation: 36-12=24 Current State: 20:[33, 77, 24], Operations: ['36-12=24'] Exploring Operation: 77-33=44, Resulting Numbers: [24, 44] Generated Node #3: [24, 44] from Operation: 77-33=44 Current State: 20:[24, 44], Operations: ['36-12=24', '77-33=44'] Exploring Operation: 44-24=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 84, 1, 74, 89 ]
68
[ "84-1=83", "89-74=15", "83-15=68" ]
Current State: 68:[84, 1, 74, 89], Operations: [] Exploring Operation: 84-1=83, Resulting Numbers: [74, 89, 83] Generated Node #2: [74, 89, 83] from Operation: 84-1=83 Current State: 68:[74, 89, 83], Operations: ['84-1=83'] Exploring Operation: 89-74=15, Resulting Numbers: [83, 15] Generated Node #3: [83, 15] from Operation: 89-74=15 Current State: 68:[83, 15], Operations: ['84-1=83', '89-74=15'] Exploring Operation: 83-15=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 4, 57, 37, 23 ]
17
[ "57+23=80", "80/4=20", "37-20=17" ]
Current State: 17:[4, 57, 37, 23], Operations: [] Exploring Operation: 57+23=80, Resulting Numbers: [4, 37, 80] Generated Node #2: [4, 37, 80] from Operation: 57+23=80 Current State: 17:[4, 37, 80], Operations: ['57+23=80'] Exploring Operation: 80/4=20, Resulting Numbers: [37, 20] Generated Node #3: [37, 20] from Operation: 80/4=20 Current State: 17:[37, 20], Operations: ['57+23=80', '80/4=20'] Exploring Operation: 37-20=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 78, 46, 66, 33 ]
67
[ "78-46=32", "66+33=99", "99-32=67" ]
Current State: 67:[78, 46, 66, 33], Operations: [] Exploring Operation: 78-46=32, Resulting Numbers: [66, 33, 32] Generated Node #2: [66, 33, 32] from Operation: 78-46=32 Current State: 67:[66, 33, 32], Operations: ['78-46=32'] Exploring Operation: 66+33=99, Resulting Numbers: [32, 99] Generated Node #3: [32, 99] from Operation: 66+33=99 Current State: 67:[32, 99], Operations: ['78-46=32', '66+33=99'] Exploring Operation: 99-32=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 54, 11, 38, 13 ]
33
[ "54+11=65", "65/13=5", "38-5=33" ]
Current State: 33:[54, 11, 38, 13], Operations: [] Exploring Operation: 54+11=65, Resulting Numbers: [38, 13, 65] Generated Node #2: [38, 13, 65] from Operation: 54+11=65 Current State: 33:[38, 13, 65], Operations: ['54+11=65'] Exploring Operation: 65/13=5, Resulting Numbers: [38, 5] Generated Node #3: [38, 5] from Operation: 65/13=5 Current State: 33:[38, 5], Operations: ['54+11=65', '65/13=5'] Exploring Operation: 38-5=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 57, 45, 87, 59 ]
84
[ "59-57=2", "87-45=42", "2*42=84" ]
Current State: 84:[57, 45, 87, 59], Operations: [] Exploring Operation: 59-57=2, Resulting Numbers: [45, 87, 2] Generated Node #2: [45, 87, 2] from Operation: 59-57=2 Current State: 84:[45, 87, 2], Operations: ['59-57=2'] Exploring Operation: 87-45=42, Resulting Numbers: [2, 42] Generated Node #3: [2, 42] from Operation: 87-45=42 Current State: 84:[2, 42], Operations: ['59-57=2', '87-45=42'] Exploring Operation: 2*42=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 55, 27, 49, 53 ]
26
[ "27*49=1323", "55+1323=1378", "1378/53=26" ]
Current State: 26:[55, 27, 49, 53], Operations: [] Exploring Operation: 27*49=1323, Resulting Numbers: [55, 53, 1323] Generated Node #2: [55, 53, 1323] from Operation: 27*49=1323 Current State: 26:[55, 53, 1323], Operations: ['27*49=1323'] Exploring Operation: 55+1323=1378, Resulting Numbers: [53, 1378] Generated Node #3: [53, 1378] from Operation: 55+1323=1378 Current State: 26:[53, 1378], Operations: ['27*49=1323', '55+1323=1378'] Exploring Operation: 1378/53=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 20, 81, 32, 27 ]
76
[ "81*32=2592", "2592/27=96", "96-20=76" ]
Current State: 76:[20, 81, 32, 27], Operations: [] Exploring Operation: 81*32=2592, Resulting Numbers: [20, 27, 2592] Generated Node #2: [20, 27, 2592] from Operation: 81*32=2592 Current State: 76:[20, 27, 2592], Operations: ['81*32=2592'] Exploring Operation: 2592/27=96, Resulting Numbers: [20, 96] Generated Node #3: [20, 96] from Operation: 2592/27=96 Current State: 76:[20, 96], Operations: ['81*32=2592', '2592/27=96'] Exploring Operation: 96-20=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 19, 55, 19, 20 ]
74
[ "19+55=74", "20-19=1", "74*1=74" ]
Current State: 74:[19, 55, 19, 20], Operations: [] Exploring Operation: 19+55=74, Resulting Numbers: [20, 74] Generated Node #2: [20, 74] from Operation: 19+55=74 Current State: 74:[20, 74], Operations: ['19+55=74'] Exploring Operation: 20-19=1, Resulting Numbers: [74, 1] Generated Node #3: [74, 1] from Operation: 20-19=1 Current State: 74:[74, 1], Operations: ['19+55=74', '20-19=1'] Exploring Operation: 74*1=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 27, 51, 33, 63 ]
42
[ "51-33=18", "63*18=1134", "1134/27=42" ]
Current State: 42:[27, 51, 33, 63], Operations: [] Exploring Operation: 51-33=18, Resulting Numbers: [27, 63, 18] Generated Node #2: [27, 63, 18] from Operation: 51-33=18 Current State: 42:[27, 63, 18], Operations: ['51-33=18'] Exploring Operation: 63*18=1134, Resulting Numbers: [27, 1134] Generated Node #3: [27, 1134] from Operation: 63*18=1134 Current State: 42:[27, 1134], Operations: ['51-33=18', '63*18=1134'] Exploring Operation: 1134/27=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 32, 45, 85, 72 ]
65
[ "32*45=1440", "1440/72=20", "85-20=65" ]
Current State: 65:[32, 45, 85, 72], Operations: [] Exploring Operation: 32*45=1440, Resulting Numbers: [85, 72, 1440] Generated Node #2: [85, 72, 1440] from Operation: 32*45=1440 Current State: 65:[85, 72, 1440], Operations: ['32*45=1440'] Exploring Operation: 1440/72=20, Resulting Numbers: [85, 20] Generated Node #3: [85, 20] from Operation: 1440/72=20 Current State: 65:[85, 20], Operations: ['32*45=1440', '1440/72=20'] Exploring Operation: 85-20=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 1, 21, 28, 82 ]
75
[ "1*21=21", "82-28=54", "21+54=75" ]
Current State: 75:[1, 21, 28, 82], Operations: [] Exploring Operation: 1*21=21, Resulting Numbers: [28, 82, 21] Generated Node #2: [28, 82, 21] from Operation: 1*21=21 Current State: 75:[28, 82, 21], Operations: ['1*21=21'] Exploring Operation: 82-28=54, Resulting Numbers: [21, 54] Generated Node #3: [21, 54] from Operation: 82-28=54 Current State: 75:[21, 54], Operations: ['1*21=21', '82-28=54'] Exploring Operation: 21+54=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 54, 18, 54, 33 ]
18
[ "54-18=36", "36-33=3", "54/3=18" ]
Current State: 18:[54, 18, 54, 33], Operations: [] Exploring Operation: 54-18=36, Resulting Numbers: [33, 36] Generated Node #2: [33, 36] from Operation: 54-18=36 Current State: 18:[33, 36], Operations: ['54-18=36'] Exploring Operation: 36-33=3, Resulting Numbers: [3] 3,18 equal: Goal Reached Exploring Operation: 54/3=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 46, 29, 57, 98 ]
38
[ "46*57=2622", "98-29=69", "2622/69=38" ]
Current State: 38:[46, 29, 57, 98], Operations: [] Exploring Operation: 46*57=2622, Resulting Numbers: [29, 98, 2622] Generated Node #2: [29, 98, 2622] from Operation: 46*57=2622 Current State: 38:[29, 98, 2622], Operations: ['46*57=2622'] Exploring Operation: 98-29=69, Resulting Numbers: [2622, 69] Generated Node #3: [2622, 69] from Operation: 98-29=69 Current State: 38:[2622, 69], Operations: ['46*57=2622', '98-29=69'] Exploring Operation: 2622/69=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 51, 37, 32, 77 ]
41
[ "51+77=128", "128/32=4", "37+4=41" ]
Current State: 41:[51, 37, 32, 77], Operations: [] Exploring Operation: 51+77=128, Resulting Numbers: [37, 32, 128] Generated Node #2: [37, 32, 128] from Operation: 51+77=128 Current State: 41:[37, 32, 128], Operations: ['51+77=128'] Exploring Operation: 128/32=4, Resulting Numbers: [37, 4] Generated Node #3: [37, 4] from Operation: 128/32=4 Current State: 41:[37, 4], Operations: ['51+77=128', '128/32=4'] Exploring Operation: 37+4=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 47, 79, 67, 62 ]
70
[ "79+62=141", "141/47=3", "67+3=70" ]
Current State: 70:[47, 79, 67, 62], Operations: [] Exploring Operation: 79+62=141, Resulting Numbers: [47, 67, 141] Generated Node #2: [47, 67, 141] from Operation: 79+62=141 Current State: 70:[47, 67, 141], Operations: ['79+62=141'] Exploring Operation: 141/47=3, Resulting Numbers: [67, 3] Generated Node #3: [67, 3] from Operation: 141/47=3 Current State: 70:[67, 3], Operations: ['79+62=141', '141/47=3'] Exploring Operation: 67+3=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 48, 20, 8, 80 ]
66
[ "48/8=6", "80-20=60", "6+60=66" ]
Current State: 66:[48, 20, 8, 80], Operations: [] Exploring Operation: 48/8=6, Resulting Numbers: [20, 80, 6] Generated Node #2: [20, 80, 6] from Operation: 48/8=6 Current State: 66:[20, 80, 6], Operations: ['48/8=6'] Exploring Operation: 80-20=60, Resulting Numbers: [6, 60] Generated Node #3: [6, 60] from Operation: 80-20=60 Current State: 66:[6, 60], Operations: ['48/8=6', '80-20=60'] Exploring Operation: 6+60=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 10, 83, 45, 15 ]
70
[ "83-10=73", "45/15=3", "73-3=70" ]
Current State: 70:[10, 83, 45, 15], Operations: [] Exploring Operation: 83-10=73, Resulting Numbers: [45, 15, 73] Generated Node #2: [45, 15, 73] from Operation: 83-10=73 Current State: 70:[45, 15, 73], Operations: ['83-10=73'] Exploring Operation: 45/15=3, Resulting Numbers: [73, 3] Generated Node #3: [73, 3] from Operation: 45/15=3 Current State: 70:[73, 3], Operations: ['83-10=73', '45/15=3'] Exploring Operation: 73-3=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 15, 15, 20, 12 ]
100
[ "15*20=300", "15-12=3", "300/3=100" ]
Current State: 100:[15, 15, 20, 12], Operations: [] Exploring Operation: 15*20=300, Resulting Numbers: [12, 300] Generated Node #2: [12, 300] from Operation: 15*20=300 Current State: 100:[12, 300], Operations: ['15*20=300'] Exploring Operation: 15-12=3, Resulting Numbers: [300, 3] Generated Node #3: [300, 3] from Operation: 15-12=3 Current State: 100:[300, 3], Operations: ['15*20=300', '15-12=3'] Exploring Operation: 300/3=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 14, 66, 46, 28 ]
89
[ "14*46=644", "644/28=23", "66+23=89" ]
Current State: 89:[14, 66, 46, 28], Operations: [] Exploring Operation: 14*46=644, Resulting Numbers: [66, 28, 644] Generated Node #2: [66, 28, 644] from Operation: 14*46=644 Current State: 89:[66, 28, 644], Operations: ['14*46=644'] Exploring Operation: 644/28=23, Resulting Numbers: [66, 23] Generated Node #3: [66, 23] from Operation: 644/28=23 Current State: 89:[66, 23], Operations: ['14*46=644', '644/28=23'] Exploring Operation: 66+23=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 89, 60, 53, 23 ]
87
[ "53-23=30", "60/30=2", "89-2=87" ]
Current State: 87:[89, 60, 53, 23], Operations: [] Exploring Operation: 53-23=30, Resulting Numbers: [89, 60, 30] Generated Node #2: [89, 60, 30] from Operation: 53-23=30 Current State: 87:[89, 60, 30], Operations: ['53-23=30'] Exploring Operation: 60/30=2, Resulting Numbers: [89, 2] Generated Node #3: [89, 2] from Operation: 60/30=2 Current State: 87:[89, 2], Operations: ['53-23=30', '60/30=2'] Exploring Operation: 89-2=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 15, 15, 40, 66 ]
27
[ "15/15=1", "66-40=26", "1+26=27" ]
Current State: 27:[15, 15, 40, 66], Operations: [] Exploring Operation: 15/15=1, Resulting Numbers: [40, 66, 1] Generated Node #2: [40, 66, 1] from Operation: 15/15=1 Current State: 27:[40, 66, 1], Operations: ['15/15=1'] Exploring Operation: 66-40=26, Resulting Numbers: [1, 26] Generated Node #3: [1, 26] from Operation: 66-40=26 Current State: 27:[1, 26], Operations: ['15/15=1', '66-40=26'] Exploring Operation: 1+26=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 23, 95, 34, 33 ]
71
[ "95-23=72", "34-33=1", "72-1=71" ]
Current State: 71:[23, 95, 34, 33], Operations: [] Exploring Operation: 95-23=72, Resulting Numbers: [34, 33, 72] Generated Node #2: [34, 33, 72] from Operation: 95-23=72 Current State: 71:[34, 33, 72], Operations: ['95-23=72'] Exploring Operation: 34-33=1, Resulting Numbers: [72, 1] Generated Node #3: [72, 1] from Operation: 34-33=1 Current State: 71:[72, 1], Operations: ['95-23=72', '34-33=1'] Exploring Operation: 72-1=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 5, 15, 82, 10 ]
43
[ "15+10=25", "5*25=125", "125-82=43" ]
Current State: 43:[5, 15, 82, 10], Operations: [] Exploring Operation: 15+10=25, Resulting Numbers: [5, 82, 25] Generated Node #2: [5, 82, 25] from Operation: 15+10=25 Current State: 43:[5, 82, 25], Operations: ['15+10=25'] Exploring Operation: 5*25=125, Resulting Numbers: [82, 125] Generated Node #3: [82, 125] from Operation: 5*25=125 Current State: 43:[82, 125], Operations: ['15+10=25', '5*25=125'] Exploring Operation: 125-82=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 74, 59, 7, 38 ]
46
[ "74-59=15", "38-7=31", "15+31=46" ]
Current State: 46:[74, 59, 7, 38], Operations: [] Exploring Operation: 74-59=15, Resulting Numbers: [7, 38, 15] Generated Node #2: [7, 38, 15] from Operation: 74-59=15 Current State: 46:[7, 38, 15], Operations: ['74-59=15'] Exploring Operation: 38-7=31, Resulting Numbers: [15, 31] Generated Node #3: [15, 31] from Operation: 38-7=31 Current State: 46:[15, 31], Operations: ['74-59=15', '38-7=31'] Exploring Operation: 15+31=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 50, 61, 6, 68 ]
92
[ "68-61=7", "6*7=42", "50+42=92" ]
Current State: 92:[50, 61, 6, 68], Operations: [] Exploring Operation: 68-61=7, Resulting Numbers: [50, 6, 7] Generated Node #2: [50, 6, 7] from Operation: 68-61=7 Current State: 92:[50, 6, 7], Operations: ['68-61=7'] Exploring Operation: 6*7=42, Resulting Numbers: [50, 42] Generated Node #3: [50, 42] from Operation: 6*7=42 Current State: 92:[50, 42], Operations: ['68-61=7', '6*7=42'] Exploring Operation: 50+42=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 75, 26, 8, 42 ]
39
[ "75*26=1950", "8+42=50", "1950/50=39" ]
Current State: 39:[75, 26, 8, 42], Operations: [] Exploring Operation: 75*26=1950, Resulting Numbers: [8, 42, 1950] Generated Node #2: [8, 42, 1950] from Operation: 75*26=1950 Current State: 39:[8, 42, 1950], Operations: ['75*26=1950'] Exploring Operation: 8+42=50, Resulting Numbers: [1950, 50] Generated Node #3: [1950, 50] from Operation: 8+42=50 Current State: 39:[1950, 50], Operations: ['75*26=1950', '8+42=50'] Exploring Operation: 1950/50=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 1, 97, 30, 98 ]
28
[ "97-1=96", "98-30=68", "96-68=28" ]
Current State: 28:[1, 97, 30, 98], Operations: [] Exploring Operation: 97-1=96, Resulting Numbers: [30, 98, 96] Generated Node #2: [30, 98, 96] from Operation: 97-1=96 Current State: 28:[30, 98, 96], Operations: ['97-1=96'] Exploring Operation: 98-30=68, Resulting Numbers: [96, 68] Generated Node #3: [96, 68] from Operation: 98-30=68 Current State: 28:[96, 68], Operations: ['97-1=96', '98-30=68'] Exploring Operation: 96-68=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 5, 74, 2, 98 ]
88
[ "5+2=7", "98/7=14", "74+14=88" ]
Current State: 88:[5, 74, 2, 98], Operations: [] Exploring Operation: 5+2=7, Resulting Numbers: [74, 98, 7] Generated Node #2: [74, 98, 7] from Operation: 5+2=7 Current State: 88:[74, 98, 7], Operations: ['5+2=7'] Exploring Operation: 98/7=14, Resulting Numbers: [74, 14] Generated Node #3: [74, 14] from Operation: 98/7=14 Current State: 88:[74, 14], Operations: ['5+2=7', '98/7=14'] Exploring Operation: 74+14=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 13, 58, 67, 36 ]
17
[ "67-58=9", "36/9=4", "13+4=17" ]
Current State: 17:[13, 58, 67, 36], Operations: [] Exploring Operation: 67-58=9, Resulting Numbers: [13, 36, 9] Generated Node #2: [13, 36, 9] from Operation: 67-58=9 Current State: 17:[13, 36, 9], Operations: ['67-58=9'] Exploring Operation: 36/9=4, Resulting Numbers: [13, 4] Generated Node #3: [13, 4] from Operation: 36/9=4 Current State: 17:[13, 4], Operations: ['67-58=9', '36/9=4'] Exploring Operation: 13+4=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 71, 27, 5, 8 ]
58
[ "71+27=98", "5*8=40", "98-40=58" ]
Current State: 58:[71, 27, 5, 8], Operations: [] Exploring Operation: 71+27=98, Resulting Numbers: [5, 8, 98] Generated Node #2: [5, 8, 98] from Operation: 71+27=98 Current State: 58:[5, 8, 98], Operations: ['71+27=98'] Exploring Operation: 5*8=40, Resulting Numbers: [98, 40] Generated Node #3: [98, 40] from Operation: 5*8=40 Current State: 58:[98, 40], Operations: ['71+27=98', '5*8=40'] Exploring Operation: 98-40=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 58, 54, 22, 60 ]
98
[ "60-58=2", "22*2=44", "54+44=98" ]
Current State: 98:[58, 54, 22, 60], Operations: [] Exploring Operation: 60-58=2, Resulting Numbers: [54, 22, 2] Generated Node #2: [54, 22, 2] from Operation: 60-58=2 Current State: 98:[54, 22, 2], Operations: ['60-58=2'] Exploring Operation: 22*2=44, Resulting Numbers: [54, 44] Generated Node #3: [54, 44] from Operation: 22*2=44 Current State: 98:[54, 44], Operations: ['60-58=2', '22*2=44'] Exploring Operation: 54+44=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 63, 97, 9, 48 ]
38
[ "63-48=15", "9*15=135", "135-97=38" ]
Current State: 38:[63, 97, 9, 48], Operations: [] Exploring Operation: 63-48=15, Resulting Numbers: [97, 9, 15] Generated Node #2: [97, 9, 15] from Operation: 63-48=15 Current State: 38:[97, 9, 15], Operations: ['63-48=15'] Exploring Operation: 9*15=135, Resulting Numbers: [97, 135] Generated Node #3: [97, 135] from Operation: 9*15=135 Current State: 38:[97, 135], Operations: ['63-48=15', '9*15=135'] Exploring Operation: 135-97=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 63, 3, 36, 66 ]
33
[ "63+36=99", "99/3=33", "66-33=33" ]
Current State: 33:[63, 3, 36, 66], Operations: [] Exploring Operation: 63+36=99, Resulting Numbers: [3, 66, 99] Generated Node #2: [3, 66, 99] from Operation: 63+36=99 Current State: 33:[3, 66, 99], Operations: ['63+36=99'] Exploring Operation: 99/3=33, Resulting Numbers: [66, 33] Generated Node #3: [66, 33] from Operation: 99/3=33 Current State: 33:[66, 33], Operations: ['63+36=99', '99/3=33'] Exploring Operation: 66-33=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 50, 79, 92, 10 ]
80
[ "92-79=13", "10*13=130", "130-50=80" ]
Current State: 80:[50, 79, 92, 10], Operations: [] Exploring Operation: 92-79=13, Resulting Numbers: [50, 10, 13] Generated Node #2: [50, 10, 13] from Operation: 92-79=13 Current State: 80:[50, 10, 13], Operations: ['92-79=13'] Exploring Operation: 10*13=130, Resulting Numbers: [50, 130] Generated Node #3: [50, 130] from Operation: 10*13=130 Current State: 80:[50, 130], Operations: ['92-79=13', '10*13=130'] Exploring Operation: 130-50=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 7, 2, 58, 8 ]
67
[ "58-7=51", "2*8=16", "51+16=67" ]
Current State: 67:[7, 2, 58, 8], Operations: [] Exploring Operation: 58-7=51, Resulting Numbers: [2, 8, 51] Generated Node #2: [2, 8, 51] from Operation: 58-7=51 Current State: 67:[2, 8, 51], Operations: ['58-7=51'] Exploring Operation: 2*8=16, Resulting Numbers: [51, 16] Generated Node #3: [51, 16] from Operation: 2*8=16 Current State: 67:[51, 16], Operations: ['58-7=51', '2*8=16'] Exploring Operation: 51+16=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 99, 2, 85, 12 ]
95
[ "85+12=97", "2*97=194", "194-99=95" ]
Current State: 95:[99, 2, 85, 12], Operations: [] Exploring Operation: 85+12=97, Resulting Numbers: [99, 2, 97] Generated Node #2: [99, 2, 97] from Operation: 85+12=97 Current State: 95:[99, 2, 97], Operations: ['85+12=97'] Exploring Operation: 2*97=194, Resulting Numbers: [99, 194] Generated Node #3: [99, 194] from Operation: 2*97=194 Current State: 95:[99, 194], Operations: ['85+12=97', '2*97=194'] Exploring Operation: 194-99=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 47, 56, 2, 73 ]
92
[ "47+73=120", "56/2=28", "120-28=92" ]
Current State: 92:[47, 56, 2, 73], Operations: [] Exploring Operation: 47+73=120, Resulting Numbers: [56, 2, 120] Generated Node #2: [56, 2, 120] from Operation: 47+73=120 Current State: 92:[56, 2, 120], Operations: ['47+73=120'] Exploring Operation: 56/2=28, Resulting Numbers: [120, 28] Generated Node #3: [120, 28] from Operation: 56/2=28 Current State: 92:[120, 28], Operations: ['47+73=120', '56/2=28'] Exploring Operation: 120-28=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 4, 5, 1, 90 ]
25
[ "4-1=3", "90/3=30", "30-5=25" ]
Current State: 25:[4, 5, 1, 90], Operations: [] Exploring Operation: 4-1=3, Resulting Numbers: [5, 90, 3] Generated Node #2: [5, 90, 3] from Operation: 4-1=3 Current State: 25:[5, 90, 3], Operations: ['4-1=3'] Exploring Operation: 90/3=30, Resulting Numbers: [5, 30] Generated Node #3: [5, 30] from Operation: 90/3=30 Current State: 25:[5, 30], Operations: ['4-1=3', '90/3=30'] Exploring Operation: 30-5=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 34, 10, 30, 65 ]
52
[ "34-10=24", "65*24=1560", "1560/30=52" ]
Current State: 52:[34, 10, 30, 65], Operations: [] Exploring Operation: 34-10=24, Resulting Numbers: [30, 65, 24] Generated Node #2: [30, 65, 24] from Operation: 34-10=24 Current State: 52:[30, 65, 24], Operations: ['34-10=24'] Exploring Operation: 65*24=1560, Resulting Numbers: [30, 1560] Generated Node #3: [30, 1560] from Operation: 65*24=1560 Current State: 52:[30, 1560], Operations: ['34-10=24', '65*24=1560'] Exploring Operation: 1560/30=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 88, 14, 72, 11 ]
78
[ "88/11=8", "14+72=86", "86-8=78" ]
Current State: 78:[88, 14, 72, 11], Operations: [] Exploring Operation: 88/11=8, Resulting Numbers: [14, 72, 8] Generated Node #2: [14, 72, 8] from Operation: 88/11=8 Current State: 78:[14, 72, 8], Operations: ['88/11=8'] Exploring Operation: 14+72=86, Resulting Numbers: [8, 86] Generated Node #3: [8, 86] from Operation: 14+72=86 Current State: 78:[8, 86], Operations: ['88/11=8', '14+72=86'] Exploring Operation: 86-8=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 5, 35, 87, 1 ]
89
[ "5*35=175", "87-1=86", "175-86=89" ]
Current State: 89:[5, 35, 87, 1], Operations: [] Exploring Operation: 5*35=175, Resulting Numbers: [87, 1, 175] Generated Node #2: [87, 1, 175] from Operation: 5*35=175 Current State: 89:[87, 1, 175], Operations: ['5*35=175'] Exploring Operation: 87-1=86, Resulting Numbers: [175, 86] Generated Node #3: [175, 86] from Operation: 87-1=86 Current State: 89:[175, 86], Operations: ['5*35=175', '87-1=86'] Exploring Operation: 175-86=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 87, 29, 21, 52 ]
11
[ "87/29=3", "21*3=63", "63-52=11" ]
Current State: 11:[87, 29, 21, 52], Operations: [] Exploring Operation: 87/29=3, Resulting Numbers: [21, 52, 3] Generated Node #2: [21, 52, 3] from Operation: 87/29=3 Current State: 11:[21, 52, 3], Operations: ['87/29=3'] Exploring Operation: 21*3=63, Resulting Numbers: [52, 63] Generated Node #3: [52, 63] from Operation: 21*3=63 Current State: 11:[52, 63], Operations: ['87/29=3', '21*3=63'] Exploring Operation: 63-52=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 93, 36, 90, 87 ]
67
[ "90-87=3", "93/3=31", "36+31=67" ]
Current State: 67:[93, 36, 90, 87], Operations: [] Exploring Operation: 90-87=3, Resulting Numbers: [93, 36, 3] Generated Node #2: [93, 36, 3] from Operation: 90-87=3 Current State: 67:[93, 36, 3], Operations: ['90-87=3'] Exploring Operation: 93/3=31, Resulting Numbers: [36, 31] Generated Node #3: [36, 31] from Operation: 93/3=31 Current State: 67:[36, 31], Operations: ['90-87=3', '93/3=31'] Exploring Operation: 36+31=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 27, 23, 9, 2 ]
40
[ "27/9=3", "23-3=20", "2*20=40" ]
Current State: 40:[27, 23, 9, 2], Operations: [] Exploring Operation: 27/9=3, Resulting Numbers: [23, 2, 3] Generated Node #2: [23, 2, 3] from Operation: 27/9=3 Current State: 40:[23, 2, 3], Operations: ['27/9=3'] Exploring Operation: 23-3=20, Resulting Numbers: [2, 20] Generated Node #3: [2, 20] from Operation: 23-3=20 Current State: 40:[2, 20], Operations: ['27/9=3', '23-3=20'] Exploring Operation: 2*20=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 53, 17, 34, 41 ]
82
[ "53-17=36", "36-34=2", "41*2=82" ]
Current State: 82:[53, 17, 34, 41], Operations: [] Exploring Operation: 53-17=36, Resulting Numbers: [34, 41, 36] Generated Node #2: [34, 41, 36] from Operation: 53-17=36 Current State: 82:[34, 41, 36], Operations: ['53-17=36'] Exploring Operation: 36-34=2, Resulting Numbers: [41, 2] Generated Node #3: [41, 2] from Operation: 36-34=2 Current State: 82:[41, 2], Operations: ['53-17=36', '36-34=2'] Exploring Operation: 41*2=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 65, 83, 29, 24 ]
90
[ "83-65=18", "29-24=5", "18*5=90" ]
Current State: 90:[65, 83, 29, 24], Operations: [] Exploring Operation: 83-65=18, Resulting Numbers: [29, 24, 18] Generated Node #2: [29, 24, 18] from Operation: 83-65=18 Current State: 90:[29, 24, 18], Operations: ['83-65=18'] Exploring Operation: 29-24=5, Resulting Numbers: [18, 5] Generated Node #3: [18, 5] from Operation: 29-24=5 Current State: 90:[18, 5], Operations: ['83-65=18', '29-24=5'] Exploring Operation: 18*5=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 3, 20, 88, 16 ]
81
[ "3+20=23", "88+16=104", "104-23=81" ]
Current State: 81:[3, 20, 88, 16], Operations: [] Exploring Operation: 3+20=23, Resulting Numbers: [88, 16, 23] Generated Node #2: [88, 16, 23] from Operation: 3+20=23 Current State: 81:[88, 16, 23], Operations: ['3+20=23'] Exploring Operation: 88+16=104, Resulting Numbers: [23, 104] Generated Node #3: [23, 104] from Operation: 88+16=104 Current State: 81:[23, 104], Operations: ['3+20=23', '88+16=104'] Exploring Operation: 104-23=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 75, 23, 36, 4 ]
20
[ "75-23=52", "36-4=32", "52-32=20" ]
Current State: 20:[75, 23, 36, 4], Operations: [] Exploring Operation: 75-23=52, Resulting Numbers: [36, 4, 52] Generated Node #2: [36, 4, 52] from Operation: 75-23=52 Current State: 20:[36, 4, 52], Operations: ['75-23=52'] Exploring Operation: 36-4=32, Resulting Numbers: [52, 32] Generated Node #3: [52, 32] from Operation: 36-4=32 Current State: 20:[52, 32], Operations: ['75-23=52', '36-4=32'] Exploring Operation: 52-32=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 99, 51, 17, 5 ]
60
[ "99-51=48", "17-5=12", "48+12=60" ]
Current State: 60:[99, 51, 17, 5], Operations: [] Exploring Operation: 99-51=48, Resulting Numbers: [17, 5, 48] Generated Node #2: [17, 5, 48] from Operation: 99-51=48 Current State: 60:[17, 5, 48], Operations: ['99-51=48'] Exploring Operation: 17-5=12, Resulting Numbers: [48, 12] Generated Node #3: [48, 12] from Operation: 17-5=12 Current State: 60:[48, 12], Operations: ['99-51=48', '17-5=12'] Exploring Operation: 48+12=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 81, 85, 87, 64 ]
47
[ "87-85=2", "64*2=128", "128-81=47" ]
Current State: 47:[81, 85, 87, 64], Operations: [] Exploring Operation: 87-85=2, Resulting Numbers: [81, 64, 2] Generated Node #2: [81, 64, 2] from Operation: 87-85=2 Current State: 47:[81, 64, 2], Operations: ['87-85=2'] Exploring Operation: 64*2=128, Resulting Numbers: [81, 128] Generated Node #3: [81, 128] from Operation: 64*2=128 Current State: 47:[81, 128], Operations: ['87-85=2', '64*2=128'] Exploring Operation: 128-81=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 13, 91, 62, 43 ]
59
[ "91-13=78", "62-43=19", "78-19=59" ]
Current State: 59:[13, 91, 62, 43], Operations: [] Exploring Operation: 91-13=78, Resulting Numbers: [62, 43, 78] Generated Node #2: [62, 43, 78] from Operation: 91-13=78 Current State: 59:[62, 43, 78], Operations: ['91-13=78'] Exploring Operation: 62-43=19, Resulting Numbers: [78, 19] Generated Node #3: [78, 19] from Operation: 62-43=19 Current State: 59:[78, 19], Operations: ['91-13=78', '62-43=19'] Exploring Operation: 78-19=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 58, 5, 69, 7 ]
95
[ "58*7=406", "69+406=475", "475/5=95" ]
Current State: 95:[58, 5, 69, 7], Operations: [] Exploring Operation: 58*7=406, Resulting Numbers: [5, 69, 406] Generated Node #2: [5, 69, 406] from Operation: 58*7=406 Current State: 95:[5, 69, 406], Operations: ['58*7=406'] Exploring Operation: 69+406=475, Resulting Numbers: [5, 475] Generated Node #3: [5, 475] from Operation: 69+406=475 Current State: 95:[5, 475], Operations: ['58*7=406', '69+406=475'] Exploring Operation: 475/5=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 50, 75, 66, 96 ]
52
[ "50*66=3300", "3300/75=44", "96-44=52" ]
Current State: 52:[50, 75, 66, 96], Operations: [] Exploring Operation: 50*66=3300, Resulting Numbers: [75, 96, 3300] Generated Node #2: [75, 96, 3300] from Operation: 50*66=3300 Current State: 52:[75, 96, 3300], Operations: ['50*66=3300'] Exploring Operation: 3300/75=44, Resulting Numbers: [96, 44] Generated Node #3: [96, 44] from Operation: 3300/75=44 Current State: 52:[96, 44], Operations: ['50*66=3300', '3300/75=44'] Exploring Operation: 96-44=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 65, 64, 50, 64 ]
65
[ "64-64=0", "50*0=0", "65+0=65" ]
Current State: 65:[65, 64, 50, 64], Operations: [] Exploring Operation: 64-64=0, Resulting Numbers: [65, 50, 0] Generated Node #2: [65, 50, 0] from Operation: 64-64=0 Current State: 65:[65, 50, 0], Operations: ['64-64=0'] Exploring Operation: 50*0=0, Resulting Numbers: [65, 0] Generated Node #3: [65, 0] from Operation: 50*0=0 Current State: 65:[65, 0], Operations: ['64-64=0', '50*0=0'] Exploring Operation: 65+0=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 99, 3, 11, 67 ]
18
[ "99-3=96", "11+67=78", "96-78=18" ]
Current State: 18:[99, 3, 11, 67], Operations: [] Exploring Operation: 99-3=96, Resulting Numbers: [11, 67, 96] Generated Node #2: [11, 67, 96] from Operation: 99-3=96 Current State: 18:[11, 67, 96], Operations: ['99-3=96'] Exploring Operation: 11+67=78, Resulting Numbers: [96, 78] Generated Node #3: [96, 78] from Operation: 11+67=78 Current State: 18:[96, 78], Operations: ['99-3=96', '11+67=78'] Exploring Operation: 96-78=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 99, 3, 29, 18 ]
22
[ "99/3=33", "29-18=11", "33-11=22" ]
Current State: 22:[99, 3, 29, 18], Operations: [] Exploring Operation: 99/3=33, Resulting Numbers: [29, 18, 33] Generated Node #2: [29, 18, 33] from Operation: 99/3=33 Current State: 22:[29, 18, 33], Operations: ['99/3=33'] Exploring Operation: 29-18=11, Resulting Numbers: [33, 11] Generated Node #3: [33, 11] from Operation: 29-18=11 Current State: 22:[33, 11], Operations: ['99/3=33', '29-18=11'] Exploring Operation: 33-11=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 18, 11, 16, 13 ]
69
[ "18-13=5", "16*5=80", "80-11=69" ]
Current State: 69:[18, 11, 16, 13], Operations: [] Exploring Operation: 18-13=5, Resulting Numbers: [11, 16, 5] Generated Node #2: [11, 16, 5] from Operation: 18-13=5 Current State: 69:[11, 16, 5], Operations: ['18-13=5'] Exploring Operation: 16*5=80, Resulting Numbers: [11, 80] Generated Node #3: [11, 80] from Operation: 16*5=80 Current State: 69:[11, 80], Operations: ['18-13=5', '16*5=80'] Exploring Operation: 80-11=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 68, 30, 63, 84 ]
59
[ "68-30=38", "84-63=21", "38+21=59" ]
Current State: 59:[68, 30, 63, 84], Operations: [] Exploring Operation: 68-30=38, Resulting Numbers: [63, 84, 38] Generated Node #2: [63, 84, 38] from Operation: 68-30=38 Current State: 59:[63, 84, 38], Operations: ['68-30=38'] Exploring Operation: 84-63=21, Resulting Numbers: [38, 21] Generated Node #3: [38, 21] from Operation: 84-63=21 Current State: 59:[38, 21], Operations: ['68-30=38', '84-63=21'] Exploring Operation: 38+21=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 70, 1, 30, 2 ]
19
[ "70-30=40", "40/2=20", "20-1=19" ]
Current State: 19:[70, 1, 30, 2], Operations: [] Exploring Operation: 70-30=40, Resulting Numbers: [1, 2, 40] Generated Node #2: [1, 2, 40] from Operation: 70-30=40 Current State: 19:[1, 2, 40], Operations: ['70-30=40'] Exploring Operation: 40/2=20, Resulting Numbers: [1, 20] Generated Node #3: [1, 20] from Operation: 40/2=20 Current State: 19:[1, 20], Operations: ['70-30=40', '40/2=20'] Exploring Operation: 20-1=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 69, 27, 4, 8 ]
26
[ "69+27=96", "8+96=104", "104/4=26" ]
Current State: 26:[69, 27, 4, 8], Operations: [] Exploring Operation: 69+27=96, Resulting Numbers: [4, 8, 96] Generated Node #2: [4, 8, 96] from Operation: 69+27=96 Current State: 26:[4, 8, 96], Operations: ['69+27=96'] Exploring Operation: 8+96=104, Resulting Numbers: [4, 104] Generated Node #3: [4, 104] from Operation: 8+96=104 Current State: 26:[4, 104], Operations: ['69+27=96', '8+96=104'] Exploring Operation: 104/4=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 42, 26, 74, 3 ]
38
[ "42+74=116", "26*3=78", "116-78=38" ]
Current State: 38:[42, 26, 74, 3], Operations: [] Exploring Operation: 42+74=116, Resulting Numbers: [26, 3, 116] Generated Node #2: [26, 3, 116] from Operation: 42+74=116 Current State: 38:[26, 3, 116], Operations: ['42+74=116'] Exploring Operation: 26*3=78, Resulting Numbers: [116, 78] Generated Node #3: [116, 78] from Operation: 26*3=78 Current State: 38:[116, 78], Operations: ['42+74=116', '26*3=78'] Exploring Operation: 116-78=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 38, 37, 57, 6 ]
41
[ "38*6=228", "228/57=4", "37+4=41" ]
Current State: 41:[38, 37, 57, 6], Operations: [] Exploring Operation: 38*6=228, Resulting Numbers: [37, 57, 228] Generated Node #2: [37, 57, 228] from Operation: 38*6=228 Current State: 41:[37, 57, 228], Operations: ['38*6=228'] Exploring Operation: 228/57=4, Resulting Numbers: [37, 4] Generated Node #3: [37, 4] from Operation: 228/57=4 Current State: 41:[37, 4], Operations: ['38*6=228', '228/57=4'] Exploring Operation: 37+4=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 91, 8, 62, 61 ]
100
[ "91+8=99", "62-61=1", "99+1=100" ]
Current State: 100:[91, 8, 62, 61], Operations: [] Exploring Operation: 91+8=99, Resulting Numbers: [62, 61, 99] Generated Node #2: [62, 61, 99] from Operation: 91+8=99 Current State: 100:[62, 61, 99], Operations: ['91+8=99'] Exploring Operation: 62-61=1, Resulting Numbers: [99, 1] Generated Node #3: [99, 1] from Operation: 62-61=1 Current State: 100:[99, 1], Operations: ['91+8=99', '62-61=1'] Exploring Operation: 99+1=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 31, 39, 1, 13 ]
34
[ "31*1=31", "39/13=3", "31+3=34" ]
Current State: 34:[31, 39, 1, 13], Operations: [] Exploring Operation: 31*1=31, Resulting Numbers: [39, 13, 31] Generated Node #2: [39, 13, 31] from Operation: 31*1=31 Current State: 34:[39, 13, 31], Operations: ['31*1=31'] Exploring Operation: 39/13=3, Resulting Numbers: [31, 3] Generated Node #3: [31, 3] from Operation: 39/13=3 Current State: 34:[31, 3], Operations: ['31*1=31', '39/13=3'] Exploring Operation: 31+3=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 8, 56, 20, 72 ]
10
[ "8*20=160", "72-56=16", "160/16=10" ]
Current State: 10:[8, 56, 20, 72], Operations: [] Exploring Operation: 8*20=160, Resulting Numbers: [56, 72, 160] Generated Node #2: [56, 72, 160] from Operation: 8*20=160 Current State: 10:[56, 72, 160], Operations: ['8*20=160'] Exploring Operation: 72-56=16, Resulting Numbers: [160, 16] Generated Node #3: [160, 16] from Operation: 72-56=16 Current State: 10:[160, 16], Operations: ['8*20=160', '72-56=16'] Exploring Operation: 160/16=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 8, 72, 71, 82 ]
17
[ "72/8=9", "71+82=153", "153/9=17" ]
Current State: 17:[8, 72, 71, 82], Operations: [] Exploring Operation: 72/8=9, Resulting Numbers: [71, 82, 9] Generated Node #2: [71, 82, 9] from Operation: 72/8=9 Current State: 17:[71, 82, 9], Operations: ['72/8=9'] Exploring Operation: 71+82=153, Resulting Numbers: [9, 153] Generated Node #3: [9, 153] from Operation: 71+82=153 Current State: 17:[9, 153], Operations: ['72/8=9', '71+82=153'] Exploring Operation: 153/9=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 71, 69, 59, 14 ]
49
[ "71+69=140", "140/14=10", "59-10=49" ]
Current State: 49:[71, 69, 59, 14], Operations: [] Exploring Operation: 71+69=140, Resulting Numbers: [59, 14, 140] Generated Node #2: [59, 14, 140] from Operation: 71+69=140 Current State: 49:[59, 14, 140], Operations: ['71+69=140'] Exploring Operation: 140/14=10, Resulting Numbers: [59, 10] Generated Node #3: [59, 10] from Operation: 140/14=10 Current State: 49:[59, 10], Operations: ['71+69=140', '140/14=10'] Exploring Operation: 59-10=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 93, 24, 8, 1 ]
60
[ "93-24=69", "8+1=9", "69-9=60" ]
Current State: 60:[93, 24, 8, 1], Operations: [] Exploring Operation: 93-24=69, Resulting Numbers: [8, 1, 69] Generated Node #2: [8, 1, 69] from Operation: 93-24=69 Current State: 60:[8, 1, 69], Operations: ['93-24=69'] Exploring Operation: 8+1=9, Resulting Numbers: [69, 9] Generated Node #3: [69, 9] from Operation: 8+1=9 Current State: 60:[69, 9], Operations: ['93-24=69', '8+1=9'] Exploring Operation: 69-9=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 36, 89, 23, 5 ]
97
[ "36+89=125", "23+5=28", "125-28=97" ]
Current State: 97:[36, 89, 23, 5], Operations: [] Exploring Operation: 36+89=125, Resulting Numbers: [23, 5, 125] Generated Node #2: [23, 5, 125] from Operation: 36+89=125 Current State: 97:[23, 5, 125], Operations: ['36+89=125'] Exploring Operation: 23+5=28, Resulting Numbers: [125, 28] Generated Node #3: [125, 28] from Operation: 23+5=28 Current State: 97:[125, 28], Operations: ['36+89=125', '23+5=28'] Exploring Operation: 125-28=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 18, 30, 78, 27 ]
22
[ "18*78=1404", "1404/27=52", "52-30=22" ]
Current State: 22:[18, 30, 78, 27], Operations: [] Exploring Operation: 18*78=1404, Resulting Numbers: [30, 27, 1404] Generated Node #2: [30, 27, 1404] from Operation: 18*78=1404 Current State: 22:[30, 27, 1404], Operations: ['18*78=1404'] Exploring Operation: 1404/27=52, Resulting Numbers: [30, 52] Generated Node #3: [30, 52] from Operation: 1404/27=52 Current State: 22:[30, 52], Operations: ['18*78=1404', '1404/27=52'] Exploring Operation: 52-30=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4