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
[ 41, 15, 27, 91 ]
90
[ "41-15=26", "91-27=64", "26+64=90" ]
Current State: 90:[41, 15, 27, 91], Operations: [] Exploring Operation: 41-15=26, Resulting Numbers: [27, 91, 26] Generated Node #2: [27, 91, 26] from Operation: 41-15=26 Current State: 90:[27, 91, 26], Operations: ['41-15=26'] Exploring Operation: 91-27=64, Resulting Numbers: [26, 64] Generated Node #3: [26, 64] from Operation: 91-27=64 Current State: 90:[26, 64], Operations: ['41-15=26', '91-27=64'] Exploring Operation: 26+64=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 8, 17, 6, 26 ]
35
[ "8-6=2", "26*2=52", "52-17=35" ]
Current State: 35:[8, 17, 6, 26], Operations: [] Exploring Operation: 8-6=2, Resulting Numbers: [17, 26, 2] Generated Node #2: [17, 26, 2] from Operation: 8-6=2 Current State: 35:[17, 26, 2], Operations: ['8-6=2'] Exploring Operation: 26*2=52, Resulting Numbers: [17, 52] Generated Node #3: [17, 52] from Operation: 26*2=52 Current State: 35:[17, 52], Operations: ['8-6=2', '26*2=52'] Exploring Operation: 52-17=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 78, 68, 27, 4 ]
34
[ "78-27=51", "68/4=17", "51-17=34" ]
Current State: 34:[78, 68, 27, 4], Operations: [] Exploring Operation: 78-27=51, Resulting Numbers: [68, 4, 51] Generated Node #2: [68, 4, 51] from Operation: 78-27=51 Current State: 34:[68, 4, 51], Operations: ['78-27=51'] Exploring Operation: 68/4=17, Resulting Numbers: [51, 17] Generated Node #3: [51, 17] from Operation: 68/4=17 Current State: 34:[51, 17], Operations: ['78-27=51', '68/4=17'] Exploring Operation: 51-17=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 56, 85, 80, 60 ]
44
[ "85-80=5", "60/5=12", "56-12=44" ]
Current State: 44:[56, 85, 80, 60], Operations: [] Exploring Operation: 85-80=5, Resulting Numbers: [56, 60, 5] Generated Node #2: [56, 60, 5] from Operation: 85-80=5 Current State: 44:[56, 60, 5], Operations: ['85-80=5'] Exploring Operation: 60/5=12, Resulting Numbers: [56, 12] Generated Node #3: [56, 12] from Operation: 60/5=12 Current State: 44:[56, 12], Operations: ['85-80=5', '60/5=12'] Exploring Operation: 56-12=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 12, 37, 58, 10 ]
25
[ "12*10=120", "37+58=95", "120-95=25" ]
Current State: 25:[12, 37, 58, 10], Operations: [] Exploring Operation: 12*10=120, Resulting Numbers: [37, 58, 120] Generated Node #2: [37, 58, 120] from Operation: 12*10=120 Current State: 25:[37, 58, 120], Operations: ['12*10=120'] Exploring Operation: 37+58=95, Resulting Numbers: [120, 95] Generated Node #3: [120, 95] from Operation: 37+58=95 Current State: 25:[120, 95], Operations: ['12*10=120', '37+58=95'] Exploring Operation: 120-95=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 28, 64, 43, 4 ]
31
[ "43-28=15", "64/4=16", "15+16=31" ]
Current State: 31:[28, 64, 43, 4], Operations: [] Exploring Operation: 43-28=15, Resulting Numbers: [64, 4, 15] Generated Node #2: [64, 4, 15] from Operation: 43-28=15 Current State: 31:[64, 4, 15], Operations: ['43-28=15'] Exploring Operation: 64/4=16, Resulting Numbers: [15, 16] Generated Node #3: [15, 16] from Operation: 64/4=16 Current State: 31:[15, 16], Operations: ['43-28=15', '64/4=16'] Exploring Operation: 15+16=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 22, 47, 92, 44 ]
43
[ "44/22=2", "92-47=45", "45-2=43" ]
Current State: 43:[22, 47, 92, 44], Operations: [] Exploring Operation: 44/22=2, Resulting Numbers: [47, 92, 2] Generated Node #2: [47, 92, 2] from Operation: 44/22=2 Current State: 43:[47, 92, 2], Operations: ['44/22=2'] Exploring Operation: 92-47=45, Resulting Numbers: [2, 45] Generated Node #3: [2, 45] from Operation: 92-47=45 Current State: 43:[2, 45], Operations: ['44/22=2', '92-47=45'] Exploring Operation: 45-2=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 50, 2, 51, 86 ]
17
[ "50+2=52", "86-51=35", "52-35=17" ]
Current State: 17:[50, 2, 51, 86], Operations: [] Exploring Operation: 50+2=52, Resulting Numbers: [51, 86, 52] Generated Node #2: [51, 86, 52] from Operation: 50+2=52 Current State: 17:[51, 86, 52], Operations: ['50+2=52'] Exploring Operation: 86-51=35, Resulting Numbers: [52, 35] Generated Node #3: [52, 35] from Operation: 86-51=35 Current State: 17:[52, 35], Operations: ['50+2=52', '86-51=35'] Exploring Operation: 52-35=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 38, 28, 98, 41 ]
47
[ "38-28=10", "98-41=57", "57-10=47" ]
Current State: 47:[38, 28, 98, 41], Operations: [] Exploring Operation: 38-28=10, Resulting Numbers: [98, 41, 10] Generated Node #2: [98, 41, 10] from Operation: 38-28=10 Current State: 47:[98, 41, 10], Operations: ['38-28=10'] Exploring Operation: 98-41=57, Resulting Numbers: [10, 57] Generated Node #3: [10, 57] from Operation: 98-41=57 Current State: 47:[10, 57], Operations: ['38-28=10', '98-41=57'] Exploring Operation: 57-10=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 10, 80, 74, 44 ]
28
[ "10+80=90", "74+44=118", "118-90=28" ]
Current State: 28:[10, 80, 74, 44], Operations: [] Exploring Operation: 10+80=90, Resulting Numbers: [74, 44, 90] Generated Node #2: [74, 44, 90] from Operation: 10+80=90 Current State: 28:[74, 44, 90], Operations: ['10+80=90'] Exploring Operation: 74+44=118, Resulting Numbers: [90, 118] Generated Node #3: [90, 118] from Operation: 74+44=118 Current State: 28:[90, 118], Operations: ['10+80=90', '74+44=118'] Exploring Operation: 118-90=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 51, 27, 78, 85 ]
33
[ "27*85=2295", "2295/51=45", "78-45=33" ]
Current State: 33:[51, 27, 78, 85], Operations: [] Exploring Operation: 27*85=2295, Resulting Numbers: [51, 78, 2295] Generated Node #2: [51, 78, 2295] from Operation: 27*85=2295 Current State: 33:[51, 78, 2295], Operations: ['27*85=2295'] Exploring Operation: 2295/51=45, Resulting Numbers: [78, 45] Generated Node #3: [78, 45] from Operation: 2295/51=45 Current State: 33:[78, 45], Operations: ['27*85=2295', '2295/51=45'] Exploring Operation: 78-45=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 69, 89, 5, 90 ]
22
[ "89-69=20", "90+20=110", "110/5=22" ]
Current State: 22:[69, 89, 5, 90], Operations: [] Exploring Operation: 89-69=20, Resulting Numbers: [5, 90, 20] Generated Node #2: [5, 90, 20] from Operation: 89-69=20 Current State: 22:[5, 90, 20], Operations: ['89-69=20'] Exploring Operation: 90+20=110, Resulting Numbers: [5, 110] Generated Node #3: [5, 110] from Operation: 90+20=110 Current State: 22:[5, 110], Operations: ['89-69=20', '90+20=110'] Exploring Operation: 110/5=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 95, 18, 87, 87 ]
95
[ "87-87=0", "18*0=0", "95+0=95" ]
Current State: 95:[95, 18, 87, 87], Operations: [] Exploring Operation: 87-87=0, Resulting Numbers: [95, 18, 0] Generated Node #2: [95, 18, 0] from Operation: 87-87=0 Current State: 95:[95, 18, 0], Operations: ['87-87=0'] Exploring Operation: 18*0=0, Resulting Numbers: [95, 0] Generated Node #3: [95, 0] from Operation: 18*0=0 Current State: 95:[95, 0], Operations: ['87-87=0', '18*0=0'] Exploring Operation: 95+0=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 50, 4, 54, 60 ]
16
[ "54-50=4", "4+60=64", "64/4=16" ]
Current State: 16:[50, 4, 54, 60], Operations: [] Exploring Operation: 54-50=4, Resulting Numbers: [4, 60, 4] Generated Node #2: [4, 60, 4] from Operation: 54-50=4 Current State: 16:[4, 60, 4], Operations: ['54-50=4'] Exploring Operation: 4+60=64, Resulting Numbers: [64] 64,16 equal: Goal Reached Exploring Operation: 64/4=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 42, 84, 28, 62 ]
48
[ "84-42=42", "28+62=90", "90-42=48" ]
Current State: 48:[42, 84, 28, 62], Operations: [] Exploring Operation: 84-42=42, Resulting Numbers: [28, 62, 42] Generated Node #2: [28, 62, 42] from Operation: 84-42=42 Current State: 48:[28, 62, 42], Operations: ['84-42=42'] Exploring Operation: 28+62=90, Resulting Numbers: [42, 90] Generated Node #3: [42, 90] from Operation: 28+62=90 Current State: 48:[42, 90], Operations: ['84-42=42', '28+62=90'] Exploring Operation: 90-42=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 13, 19, 42, 75 ]
27
[ "19-13=6", "75-42=33", "33-6=27" ]
Current State: 27:[13, 19, 42, 75], Operations: [] Exploring Operation: 19-13=6, Resulting Numbers: [42, 75, 6] Generated Node #2: [42, 75, 6] from Operation: 19-13=6 Current State: 27:[42, 75, 6], Operations: ['19-13=6'] Exploring Operation: 75-42=33, Resulting Numbers: [6, 33] Generated Node #3: [6, 33] from Operation: 75-42=33 Current State: 27:[6, 33], Operations: ['19-13=6', '75-42=33'] Exploring Operation: 33-6=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 17, 30, 3, 59 ]
36
[ "17+30=47", "59-47=12", "3*12=36" ]
Current State: 36:[17, 30, 3, 59], Operations: [] Exploring Operation: 17+30=47, Resulting Numbers: [3, 59, 47] Generated Node #2: [3, 59, 47] from Operation: 17+30=47 Current State: 36:[3, 59, 47], Operations: ['17+30=47'] Exploring Operation: 59-47=12, Resulting Numbers: [3, 12] Generated Node #3: [3, 12] from Operation: 59-47=12 Current State: 36:[3, 12], Operations: ['17+30=47', '59-47=12'] Exploring Operation: 3*12=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 21, 29, 7, 41 ]
36
[ "21/7=3", "41-29=12", "3*12=36" ]
Current State: 36:[21, 29, 7, 41], Operations: [] Exploring Operation: 21/7=3, Resulting Numbers: [29, 41, 3] Generated Node #2: [29, 41, 3] from Operation: 21/7=3 Current State: 36:[29, 41, 3], Operations: ['21/7=3'] Exploring Operation: 41-29=12, Resulting Numbers: [3, 12] Generated Node #3: [3, 12] from Operation: 41-29=12 Current State: 36:[3, 12], Operations: ['21/7=3', '41-29=12'] Exploring Operation: 3*12=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 39, 48, 10, 11 ]
43
[ "39+11=50", "50/10=5", "48-5=43" ]
Current State: 43:[39, 48, 10, 11], Operations: [] Exploring Operation: 39+11=50, Resulting Numbers: [48, 10, 50] Generated Node #2: [48, 10, 50] from Operation: 39+11=50 Current State: 43:[48, 10, 50], Operations: ['39+11=50'] Exploring Operation: 50/10=5, Resulting Numbers: [48, 5] Generated Node #3: [48, 5] from Operation: 50/10=5 Current State: 43:[48, 5], Operations: ['39+11=50', '50/10=5'] Exploring Operation: 48-5=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 4, 31, 56, 63 ]
64
[ "63-31=32", "32/4=8", "56+8=64" ]
Current State: 64:[4, 31, 56, 63], Operations: [] Exploring Operation: 63-31=32, Resulting Numbers: [4, 56, 32] Generated Node #2: [4, 56, 32] from Operation: 63-31=32 Current State: 64:[4, 56, 32], Operations: ['63-31=32'] Exploring Operation: 32/4=8, Resulting Numbers: [56, 8] Generated Node #3: [56, 8] from Operation: 32/4=8 Current State: 64:[56, 8], Operations: ['63-31=32', '32/4=8'] Exploring Operation: 56+8=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 32, 6, 8, 75 ]
73
[ "32/8=4", "75-6=69", "4+69=73" ]
Current State: 73:[32, 6, 8, 75], Operations: [] Exploring Operation: 32/8=4, Resulting Numbers: [6, 75, 4] Generated Node #2: [6, 75, 4] from Operation: 32/8=4 Current State: 73:[6, 75, 4], Operations: ['32/8=4'] Exploring Operation: 75-6=69, Resulting Numbers: [4, 69] Generated Node #3: [4, 69] from Operation: 75-6=69 Current State: 73:[4, 69], Operations: ['32/8=4', '75-6=69'] Exploring Operation: 4+69=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 41, 66, 49, 4 ]
78
[ "66-41=25", "49+4=53", "25+53=78" ]
Current State: 78:[41, 66, 49, 4], Operations: [] Exploring Operation: 66-41=25, Resulting Numbers: [49, 4, 25] Generated Node #2: [49, 4, 25] from Operation: 66-41=25 Current State: 78:[49, 4, 25], Operations: ['66-41=25'] Exploring Operation: 49+4=53, Resulting Numbers: [25, 53] Generated Node #3: [25, 53] from Operation: 49+4=53 Current State: 78:[25, 53], Operations: ['66-41=25', '49+4=53'] Exploring Operation: 25+53=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 33, 8, 4, 53 ]
53
[ "8*4=32", "33-32=1", "53*1=53" ]
Current State: 53:[33, 8, 4, 53], Operations: [] Exploring Operation: 8*4=32, Resulting Numbers: [33, 53, 32] Generated Node #2: [33, 53, 32] from Operation: 8*4=32 Current State: 53:[33, 53, 32], Operations: ['8*4=32'] Exploring Operation: 33-32=1, Resulting Numbers: [53, 1] Generated Node #3: [53, 1] from Operation: 33-32=1 Current State: 53:[53, 1], Operations: ['8*4=32', '33-32=1'] Exploring Operation: 53*1=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 33, 99, 86, 32 ]
10
[ "99/33=3", "32*3=96", "96-86=10" ]
Current State: 10:[33, 99, 86, 32], Operations: [] Exploring Operation: 99/33=3, Resulting Numbers: [86, 32, 3] Generated Node #2: [86, 32, 3] from Operation: 99/33=3 Current State: 10:[86, 32, 3], Operations: ['99/33=3'] Exploring Operation: 32*3=96, Resulting Numbers: [86, 96] Generated Node #3: [86, 96] from Operation: 32*3=96 Current State: 10:[86, 96], Operations: ['99/33=3', '32*3=96'] Exploring Operation: 96-86=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 69, 88, 69, 23 ]
65
[ "69+88=157", "69+23=92", "157-92=65" ]
Current State: 65:[69, 88, 69, 23], Operations: [] Exploring Operation: 69+88=157, Resulting Numbers: [23, 157] Generated Node #2: [23, 157] from Operation: 69+88=157 Current State: 65:[23, 157], Operations: ['69+88=157'] Exploring Operation: 69+23=92, Resulting Numbers: [157, 92] Generated Node #3: [157, 92] from Operation: 69+23=92 Current State: 65:[157, 92], Operations: ['69+88=157', '69+23=92'] Exploring Operation: 157-92=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 48, 54, 30, 98 ]
96
[ "54-30=24", "48/24=2", "98-2=96" ]
Current State: 96:[48, 54, 30, 98], Operations: [] Exploring Operation: 54-30=24, Resulting Numbers: [48, 98, 24] Generated Node #2: [48, 98, 24] from Operation: 54-30=24 Current State: 96:[48, 98, 24], Operations: ['54-30=24'] Exploring Operation: 48/24=2, Resulting Numbers: [98, 2] Generated Node #3: [98, 2] from Operation: 48/24=2 Current State: 96:[98, 2], Operations: ['54-30=24', '48/24=2'] Exploring Operation: 98-2=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 12, 80, 75, 89 ]
100
[ "12*75=900", "89-80=9", "900/9=100" ]
Current State: 100:[12, 80, 75, 89], Operations: [] Exploring Operation: 12*75=900, Resulting Numbers: [80, 89, 900] Generated Node #2: [80, 89, 900] from Operation: 12*75=900 Current State: 100:[80, 89, 900], Operations: ['12*75=900'] Exploring Operation: 89-80=9, Resulting Numbers: [900, 9] Generated Node #3: [900, 9] from Operation: 89-80=9 Current State: 100:[900, 9], Operations: ['12*75=900', '89-80=9'] Exploring Operation: 900/9=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 35, 25, 23, 10 ]
60
[ "25-23=2", "35*2=70", "70-10=60" ]
Current State: 60:[35, 25, 23, 10], Operations: [] Exploring Operation: 25-23=2, Resulting Numbers: [35, 10, 2] Generated Node #2: [35, 10, 2] from Operation: 25-23=2 Current State: 60:[35, 10, 2], Operations: ['25-23=2'] Exploring Operation: 35*2=70, Resulting Numbers: [10, 70] Generated Node #3: [10, 70] from Operation: 35*2=70 Current State: 60:[10, 70], Operations: ['25-23=2', '35*2=70'] Exploring Operation: 70-10=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 21, 60, 3, 15 ]
50
[ "21-3=18", "60*15=900", "900/18=50" ]
Current State: 50:[21, 60, 3, 15], Operations: [] Exploring Operation: 21-3=18, Resulting Numbers: [60, 15, 18] Generated Node #2: [60, 15, 18] from Operation: 21-3=18 Current State: 50:[60, 15, 18], Operations: ['21-3=18'] Exploring Operation: 60*15=900, Resulting Numbers: [18, 900] Generated Node #3: [18, 900] from Operation: 60*15=900 Current State: 50:[18, 900], Operations: ['21-3=18', '60*15=900'] Exploring Operation: 900/18=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 88, 15, 3, 68 ]
100
[ "88-68=20", "15/3=5", "20*5=100" ]
Current State: 100:[88, 15, 3, 68], Operations: [] Exploring Operation: 88-68=20, Resulting Numbers: [15, 3, 20] Generated Node #2: [15, 3, 20] from Operation: 88-68=20 Current State: 100:[15, 3, 20], Operations: ['88-68=20'] Exploring Operation: 15/3=5, Resulting Numbers: [20, 5] Generated Node #3: [20, 5] from Operation: 15/3=5 Current State: 100:[20, 5], Operations: ['88-68=20', '15/3=5'] Exploring Operation: 20*5=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 43, 22, 70, 87 ]
38
[ "43-22=21", "87-70=17", "21+17=38" ]
Current State: 38:[43, 22, 70, 87], Operations: [] Exploring Operation: 43-22=21, Resulting Numbers: [70, 87, 21] Generated Node #2: [70, 87, 21] from Operation: 43-22=21 Current State: 38:[70, 87, 21], Operations: ['43-22=21'] Exploring Operation: 87-70=17, Resulting Numbers: [21, 17] Generated Node #3: [21, 17] from Operation: 87-70=17 Current State: 38:[21, 17], Operations: ['43-22=21', '87-70=17'] Exploring Operation: 21+17=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 71, 96, 10, 14 ]
21
[ "96-71=25", "14-10=4", "25-4=21" ]
Current State: 21:[71, 96, 10, 14], Operations: [] Exploring Operation: 96-71=25, Resulting Numbers: [10, 14, 25] Generated Node #2: [10, 14, 25] from Operation: 96-71=25 Current State: 21:[10, 14, 25], Operations: ['96-71=25'] Exploring Operation: 14-10=4, Resulting Numbers: [25, 4] Generated Node #3: [25, 4] from Operation: 14-10=4 Current State: 21:[25, 4], Operations: ['96-71=25', '14-10=4'] Exploring Operation: 25-4=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 2, 34, 6, 66 ]
92
[ "34-2=32", "66-6=60", "32+60=92" ]
Current State: 92:[2, 34, 6, 66], Operations: [] Exploring Operation: 34-2=32, Resulting Numbers: [6, 66, 32] Generated Node #2: [6, 66, 32] from Operation: 34-2=32 Current State: 92:[6, 66, 32], Operations: ['34-2=32'] Exploring Operation: 66-6=60, Resulting Numbers: [32, 60] Generated Node #3: [32, 60] from Operation: 66-6=60 Current State: 92:[32, 60], Operations: ['34-2=32', '66-6=60'] Exploring Operation: 32+60=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 87, 66, 64, 77 ]
67
[ "66-64=2", "77*2=154", "154-87=67" ]
Current State: 67:[87, 66, 64, 77], Operations: [] Exploring Operation: 66-64=2, Resulting Numbers: [87, 77, 2] Generated Node #2: [87, 77, 2] from Operation: 66-64=2 Current State: 67:[87, 77, 2], Operations: ['66-64=2'] Exploring Operation: 77*2=154, Resulting Numbers: [87, 154] Generated Node #3: [87, 154] from Operation: 77*2=154 Current State: 67:[87, 154], Operations: ['66-64=2', '77*2=154'] Exploring Operation: 154-87=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 40, 2, 83, 59 ]
75
[ "83-40=43", "2*59=118", "118-43=75" ]
Current State: 75:[40, 2, 83, 59], Operations: [] Exploring Operation: 83-40=43, Resulting Numbers: [2, 59, 43] Generated Node #2: [2, 59, 43] from Operation: 83-40=43 Current State: 75:[2, 59, 43], Operations: ['83-40=43'] Exploring Operation: 2*59=118, Resulting Numbers: [43, 118] Generated Node #3: [43, 118] from Operation: 2*59=118 Current State: 75:[43, 118], Operations: ['83-40=43', '2*59=118'] Exploring Operation: 118-43=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 57, 31, 62, 66 ]
84
[ "57+31=88", "66-62=4", "88-4=84" ]
Current State: 84:[57, 31, 62, 66], Operations: [] Exploring Operation: 57+31=88, Resulting Numbers: [62, 66, 88] Generated Node #2: [62, 66, 88] from Operation: 57+31=88 Current State: 84:[62, 66, 88], Operations: ['57+31=88'] Exploring Operation: 66-62=4, Resulting Numbers: [88, 4] Generated Node #3: [88, 4] from Operation: 66-62=4 Current State: 84:[88, 4], Operations: ['57+31=88', '66-62=4'] Exploring Operation: 88-4=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 12, 95, 32, 95 ]
45
[ "12+32=44", "95/95=1", "44+1=45" ]
Current State: 45:[12, 95, 32, 95], Operations: [] Exploring Operation: 12+32=44, Resulting Numbers: [95, 95, 44] Generated Node #2: [95, 95, 44] from Operation: 12+32=44 Current State: 45:[95, 95, 44], Operations: ['12+32=44'] Exploring Operation: 95/95=1, Resulting Numbers: [44, 1] Generated Node #3: [44, 1] from Operation: 95/95=1 Current State: 45:[44, 1], Operations: ['12+32=44', '95/95=1'] Exploring Operation: 44+1=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 20, 2, 47, 34 ]
27
[ "20*2=40", "47-34=13", "40-13=27" ]
Current State: 27:[20, 2, 47, 34], Operations: [] Exploring Operation: 20*2=40, Resulting Numbers: [47, 34, 40] Generated Node #2: [47, 34, 40] from Operation: 20*2=40 Current State: 27:[47, 34, 40], Operations: ['20*2=40'] Exploring Operation: 47-34=13, Resulting Numbers: [40, 13] Generated Node #3: [40, 13] from Operation: 47-34=13 Current State: 27:[40, 13], Operations: ['20*2=40', '47-34=13'] Exploring Operation: 40-13=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 53, 45, 15, 91 ]
47
[ "15+91=106", "106/53=2", "45+2=47" ]
Current State: 47:[53, 45, 15, 91], Operations: [] Exploring Operation: 15+91=106, Resulting Numbers: [53, 45, 106] Generated Node #2: [53, 45, 106] from Operation: 15+91=106 Current State: 47:[53, 45, 106], Operations: ['15+91=106'] Exploring Operation: 106/53=2, Resulting Numbers: [45, 2] Generated Node #3: [45, 2] from Operation: 106/53=2 Current State: 47:[45, 2], Operations: ['15+91=106', '106/53=2'] Exploring Operation: 45+2=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 8, 7, 49, 17 ]
66
[ "8-7=1", "49+17=66", "1*66=66" ]
Current State: 66:[8, 7, 49, 17], Operations: [] Exploring Operation: 8-7=1, Resulting Numbers: [49, 17, 1] Generated Node #2: [49, 17, 1] from Operation: 8-7=1 Current State: 66:[49, 17, 1], Operations: ['8-7=1'] Exploring Operation: 49+17=66, Resulting Numbers: [1, 66] Generated Node #3: [1, 66] from Operation: 49+17=66 Current State: 66:[1, 66], Operations: ['8-7=1', '49+17=66'] Exploring Operation: 1*66=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 84, 83, 69, 99 ]
85
[ "69+99=168", "168/84=2", "83+2=85" ]
Current State: 85:[84, 83, 69, 99], Operations: [] Exploring Operation: 69+99=168, Resulting Numbers: [84, 83, 168] Generated Node #2: [84, 83, 168] from Operation: 69+99=168 Current State: 85:[84, 83, 168], Operations: ['69+99=168'] Exploring Operation: 168/84=2, Resulting Numbers: [83, 2] Generated Node #3: [83, 2] from Operation: 168/84=2 Current State: 85:[83, 2], Operations: ['69+99=168', '168/84=2'] Exploring Operation: 83+2=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 24, 37, 64, 38 ]
89
[ "37-24=13", "64+38=102", "102-13=89" ]
Current State: 89:[24, 37, 64, 38], Operations: [] Exploring Operation: 37-24=13, Resulting Numbers: [64, 38, 13] Generated Node #2: [64, 38, 13] from Operation: 37-24=13 Current State: 89:[64, 38, 13], Operations: ['37-24=13'] Exploring Operation: 64+38=102, Resulting Numbers: [13, 102] Generated Node #3: [13, 102] from Operation: 64+38=102 Current State: 89:[13, 102], Operations: ['37-24=13', '64+38=102'] Exploring Operation: 102-13=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 61, 93, 43, 31 ]
15
[ "61-43=18", "93/31=3", "18-3=15" ]
Current State: 15:[61, 93, 43, 31], Operations: [] Exploring Operation: 61-43=18, Resulting Numbers: [93, 31, 18] Generated Node #2: [93, 31, 18] from Operation: 61-43=18 Current State: 15:[93, 31, 18], Operations: ['61-43=18'] Exploring Operation: 93/31=3, Resulting Numbers: [18, 3] Generated Node #3: [18, 3] from Operation: 93/31=3 Current State: 15:[18, 3], Operations: ['61-43=18', '93/31=3'] Exploring Operation: 18-3=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 4, 90, 40, 74 ]
81
[ "90+74=164", "164/4=41", "40+41=81" ]
Current State: 81:[4, 90, 40, 74], Operations: [] Exploring Operation: 90+74=164, Resulting Numbers: [4, 40, 164] Generated Node #2: [4, 40, 164] from Operation: 90+74=164 Current State: 81:[4, 40, 164], Operations: ['90+74=164'] Exploring Operation: 164/4=41, Resulting Numbers: [40, 41] Generated Node #3: [40, 41] from Operation: 164/4=41 Current State: 81:[40, 41], Operations: ['90+74=164', '164/4=41'] Exploring Operation: 40+41=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 46, 3, 33, 31 ]
88
[ "46+31=77", "33/3=11", "77+11=88" ]
Current State: 88:[46, 3, 33, 31], Operations: [] Exploring Operation: 46+31=77, Resulting Numbers: [3, 33, 77] Generated Node #2: [3, 33, 77] from Operation: 46+31=77 Current State: 88:[3, 33, 77], Operations: ['46+31=77'] Exploring Operation: 33/3=11, Resulting Numbers: [77, 11] Generated Node #3: [77, 11] from Operation: 33/3=11 Current State: 88:[77, 11], Operations: ['46+31=77', '33/3=11'] Exploring Operation: 77+11=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 11, 15, 45, 90 ]
49
[ "15-11=4", "90-45=45", "4+45=49" ]
Current State: 49:[11, 15, 45, 90], Operations: [] Exploring Operation: 15-11=4, Resulting Numbers: [45, 90, 4] Generated Node #2: [45, 90, 4] from Operation: 15-11=4 Current State: 49:[45, 90, 4], Operations: ['15-11=4'] Exploring Operation: 90-45=45, Resulting Numbers: [4, 45] Generated Node #3: [4, 45] from Operation: 90-45=45 Current State: 49:[4, 45], Operations: ['15-11=4', '90-45=45'] Exploring Operation: 4+45=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 27, 50, 39, 12 ]
74
[ "50-27=23", "39+12=51", "23+51=74" ]
Current State: 74:[27, 50, 39, 12], Operations: [] Exploring Operation: 50-27=23, Resulting Numbers: [39, 12, 23] Generated Node #2: [39, 12, 23] from Operation: 50-27=23 Current State: 74:[39, 12, 23], Operations: ['50-27=23'] Exploring Operation: 39+12=51, Resulting Numbers: [23, 51] Generated Node #3: [23, 51] from Operation: 39+12=51 Current State: 74:[23, 51], Operations: ['50-27=23', '39+12=51'] Exploring Operation: 23+51=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 63, 8, 45, 72 ]
28
[ "63-8=55", "72-45=27", "55-27=28" ]
Current State: 28:[63, 8, 45, 72], Operations: [] Exploring Operation: 63-8=55, Resulting Numbers: [45, 72, 55] Generated Node #2: [45, 72, 55] from Operation: 63-8=55 Current State: 28:[45, 72, 55], Operations: ['63-8=55'] Exploring Operation: 72-45=27, Resulting Numbers: [55, 27] Generated Node #3: [55, 27] from Operation: 72-45=27 Current State: 28:[55, 27], Operations: ['63-8=55', '72-45=27'] Exploring Operation: 55-27=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 33, 20, 77, 18 ]
99
[ "33+77=110", "18*110=1980", "1980/20=99" ]
Current State: 99:[33, 20, 77, 18], Operations: [] Exploring Operation: 33+77=110, Resulting Numbers: [20, 18, 110] Generated Node #2: [20, 18, 110] from Operation: 33+77=110 Current State: 99:[20, 18, 110], Operations: ['33+77=110'] Exploring Operation: 18*110=1980, Resulting Numbers: [20, 1980] Generated Node #3: [20, 1980] from Operation: 18*110=1980 Current State: 99:[20, 1980], Operations: ['33+77=110', '18*110=1980'] Exploring Operation: 1980/20=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 59, 2, 80, 81 ]
58
[ "59-2=57", "81-80=1", "57+1=58" ]
Current State: 58:[59, 2, 80, 81], Operations: [] Exploring Operation: 59-2=57, Resulting Numbers: [80, 81, 57] Generated Node #2: [80, 81, 57] from Operation: 59-2=57 Current State: 58:[80, 81, 57], Operations: ['59-2=57'] Exploring Operation: 81-80=1, Resulting Numbers: [57, 1] Generated Node #3: [57, 1] from Operation: 81-80=1 Current State: 58:[57, 1], Operations: ['59-2=57', '81-80=1'] Exploring Operation: 57+1=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 27, 2, 56, 49 ]
98
[ "27*2=54", "56-54=2", "49*2=98" ]
Current State: 98:[27, 2, 56, 49], Operations: [] Exploring Operation: 27*2=54, Resulting Numbers: [56, 49, 54] Generated Node #2: [56, 49, 54] from Operation: 27*2=54 Current State: 98:[56, 49, 54], Operations: ['27*2=54'] Exploring Operation: 56-54=2, Resulting Numbers: [49, 2] Generated Node #3: [49, 2] from Operation: 56-54=2 Current State: 98:[49, 2], Operations: ['27*2=54', '56-54=2'] Exploring Operation: 49*2=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 99, 11, 77, 26 ]
13
[ "99-77=22", "11*26=286", "286/22=13" ]
Current State: 13:[99, 11, 77, 26], Operations: [] Exploring Operation: 99-77=22, Resulting Numbers: [11, 26, 22] Generated Node #2: [11, 26, 22] from Operation: 99-77=22 Current State: 13:[11, 26, 22], Operations: ['99-77=22'] Exploring Operation: 11*26=286, Resulting Numbers: [22, 286] Generated Node #3: [22, 286] from Operation: 11*26=286 Current State: 13:[22, 286], Operations: ['99-77=22', '11*26=286'] Exploring Operation: 286/22=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 94, 91, 44, 90 ]
74
[ "94-91=3", "90/3=30", "44+30=74" ]
Current State: 74:[94, 91, 44, 90], Operations: [] Exploring Operation: 94-91=3, Resulting Numbers: [44, 90, 3] Generated Node #2: [44, 90, 3] from Operation: 94-91=3 Current State: 74:[44, 90, 3], Operations: ['94-91=3'] Exploring Operation: 90/3=30, Resulting Numbers: [44, 30] Generated Node #3: [44, 30] from Operation: 90/3=30 Current State: 74:[44, 30], Operations: ['94-91=3', '90/3=30'] Exploring Operation: 44+30=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 31, 73, 9, 62 ]
66
[ "62/31=2", "73-9=64", "2+64=66" ]
Current State: 66:[31, 73, 9, 62], Operations: [] Exploring Operation: 62/31=2, Resulting Numbers: [73, 9, 2] Generated Node #2: [73, 9, 2] from Operation: 62/31=2 Current State: 66:[73, 9, 2], Operations: ['62/31=2'] Exploring Operation: 73-9=64, Resulting Numbers: [2, 64] Generated Node #3: [2, 64] from Operation: 73-9=64 Current State: 66:[2, 64], Operations: ['62/31=2', '73-9=64'] Exploring Operation: 2+64=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 63, 6, 66, 40 ]
83
[ "63-6=57", "66-40=26", "57+26=83" ]
Current State: 83:[63, 6, 66, 40], Operations: [] Exploring Operation: 63-6=57, Resulting Numbers: [66, 40, 57] Generated Node #2: [66, 40, 57] from Operation: 63-6=57 Current State: 83:[66, 40, 57], Operations: ['63-6=57'] Exploring Operation: 66-40=26, Resulting Numbers: [57, 26] Generated Node #3: [57, 26] from Operation: 66-40=26 Current State: 83:[57, 26], Operations: ['63-6=57', '66-40=26'] Exploring Operation: 57+26=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 12, 56, 3, 12 ]
48
[ "56-12=44", "12/3=4", "44+4=48" ]
Current State: 48:[12, 56, 3, 12], Operations: [] Exploring Operation: 56-12=44, Resulting Numbers: [3, 44] Generated Node #2: [3, 44] from Operation: 56-12=44 Current State: 48:[3, 44], Operations: ['56-12=44'] Exploring Operation: 12/3=4, Resulting Numbers: [44, 4] Generated Node #3: [44, 4] from Operation: 12/3=4 Current State: 48:[44, 4], Operations: ['56-12=44', '12/3=4'] Exploring Operation: 44+4=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 27, 16, 5, 63 ]
49
[ "16+5=21", "63*21=1323", "1323/27=49" ]
Current State: 49:[27, 16, 5, 63], Operations: [] Exploring Operation: 16+5=21, Resulting Numbers: [27, 63, 21] Generated Node #2: [27, 63, 21] from Operation: 16+5=21 Current State: 49:[27, 63, 21], Operations: ['16+5=21'] Exploring Operation: 63*21=1323, Resulting Numbers: [27, 1323] Generated Node #3: [27, 1323] from Operation: 63*21=1323 Current State: 49:[27, 1323], Operations: ['16+5=21', '63*21=1323'] Exploring Operation: 1323/27=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 58, 48, 7, 34 ]
56
[ "48-34=14", "14/7=2", "58-2=56" ]
Current State: 56:[58, 48, 7, 34], Operations: [] Exploring Operation: 48-34=14, Resulting Numbers: [58, 7, 14] Generated Node #2: [58, 7, 14] from Operation: 48-34=14 Current State: 56:[58, 7, 14], Operations: ['48-34=14'] Exploring Operation: 14/7=2, Resulting Numbers: [58, 2] Generated Node #3: [58, 2] from Operation: 14/7=2 Current State: 56:[58, 2], Operations: ['48-34=14', '14/7=2'] Exploring Operation: 58-2=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 33, 53, 65, 18 ]
22
[ "65-53=12", "33*12=396", "396/18=22" ]
Current State: 22:[33, 53, 65, 18], Operations: [] Exploring Operation: 65-53=12, Resulting Numbers: [33, 18, 12] Generated Node #2: [33, 18, 12] from Operation: 65-53=12 Current State: 22:[33, 18, 12], Operations: ['65-53=12'] Exploring Operation: 33*12=396, Resulting Numbers: [18, 396] Generated Node #3: [18, 396] from Operation: 33*12=396 Current State: 22:[18, 396], Operations: ['65-53=12', '33*12=396'] Exploring Operation: 396/18=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 18, 13, 40, 34 ]
42
[ "18-13=5", "40/5=8", "34+8=42" ]
Current State: 42:[18, 13, 40, 34], Operations: [] Exploring Operation: 18-13=5, Resulting Numbers: [40, 34, 5] Generated Node #2: [40, 34, 5] from Operation: 18-13=5 Current State: 42:[40, 34, 5], Operations: ['18-13=5'] Exploring Operation: 40/5=8, Resulting Numbers: [34, 8] Generated Node #3: [34, 8] from Operation: 40/5=8 Current State: 42:[34, 8], Operations: ['18-13=5', '40/5=8'] Exploring Operation: 34+8=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 14, 86, 2, 4 ]
16
[ "86-14=72", "72/4=18", "18-2=16" ]
Current State: 16:[14, 86, 2, 4], Operations: [] Exploring Operation: 86-14=72, Resulting Numbers: [2, 4, 72] Generated Node #2: [2, 4, 72] from Operation: 86-14=72 Current State: 16:[2, 4, 72], Operations: ['86-14=72'] Exploring Operation: 72/4=18, Resulting Numbers: [2, 18] Generated Node #3: [2, 18] from Operation: 72/4=18 Current State: 16:[2, 18], Operations: ['86-14=72', '72/4=18'] Exploring Operation: 18-2=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 98, 98, 84, 82 ]
89
[ "98-84=14", "98/14=7", "82+7=89" ]
Current State: 89:[98, 98, 84, 82], Operations: [] Exploring Operation: 98-84=14, Resulting Numbers: [82, 14] Generated Node #2: [82, 14] from Operation: 98-84=14 Current State: 89:[82, 14], Operations: ['98-84=14'] Exploring Operation: 98/14=7, Resulting Numbers: [82, 7] Generated Node #3: [82, 7] from Operation: 98/14=7 Current State: 89:[82, 7], Operations: ['98-84=14', '98/14=7'] Exploring Operation: 82+7=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 51, 7, 19, 42 ]
67
[ "51-7=44", "42-19=23", "44+23=67" ]
Current State: 67:[51, 7, 19, 42], Operations: [] Exploring Operation: 51-7=44, Resulting Numbers: [19, 42, 44] Generated Node #2: [19, 42, 44] from Operation: 51-7=44 Current State: 67:[19, 42, 44], Operations: ['51-7=44'] Exploring Operation: 42-19=23, Resulting Numbers: [44, 23] Generated Node #3: [44, 23] from Operation: 42-19=23 Current State: 67:[44, 23], Operations: ['51-7=44', '42-19=23'] Exploring Operation: 44+23=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 31, 14, 44, 79 ]
80
[ "31+14=45", "79-44=35", "45+35=80" ]
Current State: 80:[31, 14, 44, 79], Operations: [] Exploring Operation: 31+14=45, Resulting Numbers: [44, 79, 45] Generated Node #2: [44, 79, 45] from Operation: 31+14=45 Current State: 80:[44, 79, 45], Operations: ['31+14=45'] Exploring Operation: 79-44=35, Resulting Numbers: [45, 35] Generated Node #3: [45, 35] from Operation: 79-44=35 Current State: 80:[45, 35], Operations: ['31+14=45', '79-44=35'] Exploring Operation: 45+35=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 90, 79, 70, 56 ]
25
[ "90-79=11", "70-56=14", "11+14=25" ]
Current State: 25:[90, 79, 70, 56], Operations: [] Exploring Operation: 90-79=11, Resulting Numbers: [70, 56, 11] Generated Node #2: [70, 56, 11] from Operation: 90-79=11 Current State: 25:[70, 56, 11], Operations: ['90-79=11'] Exploring Operation: 70-56=14, Resulting Numbers: [11, 14] Generated Node #3: [11, 14] from Operation: 70-56=14 Current State: 25:[11, 14], Operations: ['90-79=11', '70-56=14'] Exploring Operation: 11+14=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 21, 63, 55, 70 ]
18
[ "63/21=3", "70-55=15", "3+15=18" ]
Current State: 18:[21, 63, 55, 70], Operations: [] Exploring Operation: 63/21=3, Resulting Numbers: [55, 70, 3] Generated Node #2: [55, 70, 3] from Operation: 63/21=3 Current State: 18:[55, 70, 3], Operations: ['63/21=3'] Exploring Operation: 70-55=15, Resulting Numbers: [3, 15] Generated Node #3: [3, 15] from Operation: 70-55=15 Current State: 18:[3, 15], Operations: ['63/21=3', '70-55=15'] Exploring Operation: 3+15=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 42, 2, 45, 45 ]
96
[ "45-42=3", "45+3=48", "2*48=96" ]
Current State: 96:[42, 2, 45, 45], Operations: [] Exploring Operation: 45-42=3, Resulting Numbers: [2, 3] Generated Node #2: [2, 3] from Operation: 45-42=3 Current State: 96:[2, 3], Operations: ['45-42=3'] Exploring Operation: 45+3=48, Resulting Numbers: [2, 48] Generated Node #3: [2, 48] from Operation: 45+3=48 Current State: 96:[2, 48], Operations: ['45-42=3', '45+3=48'] Exploring Operation: 2*48=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 9, 52, 59, 59 ]
44
[ "52-9=43", "59/59=1", "43+1=44" ]
Current State: 44:[9, 52, 59, 59], Operations: [] Exploring Operation: 52-9=43, Resulting Numbers: [59, 59, 43] Generated Node #2: [59, 59, 43] from Operation: 52-9=43 Current State: 44:[59, 59, 43], Operations: ['52-9=43'] Exploring Operation: 59/59=1, Resulting Numbers: [43, 1] Generated Node #3: [43, 1] from Operation: 59/59=1 Current State: 44:[43, 1], Operations: ['52-9=43', '59/59=1'] Exploring Operation: 43+1=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 64, 95, 89, 93 ]
35
[ "95-64=31", "93-89=4", "31+4=35" ]
Current State: 35:[64, 95, 89, 93], Operations: [] Exploring Operation: 95-64=31, Resulting Numbers: [89, 93, 31] Generated Node #2: [89, 93, 31] from Operation: 95-64=31 Current State: 35:[89, 93, 31], Operations: ['95-64=31'] Exploring Operation: 93-89=4, Resulting Numbers: [31, 4] Generated Node #3: [31, 4] from Operation: 93-89=4 Current State: 35:[31, 4], Operations: ['95-64=31', '93-89=4'] Exploring Operation: 31+4=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 75, 74, 55, 37 ]
35
[ "74*55=4070", "4070/37=110", "110-75=35" ]
Current State: 35:[75, 74, 55, 37], Operations: [] Exploring Operation: 74*55=4070, Resulting Numbers: [75, 37, 4070] Generated Node #2: [75, 37, 4070] from Operation: 74*55=4070 Current State: 35:[75, 37, 4070], Operations: ['74*55=4070'] Exploring Operation: 4070/37=110, Resulting Numbers: [75, 110] Generated Node #3: [75, 110] from Operation: 4070/37=110 Current State: 35:[75, 110], Operations: ['74*55=4070', '4070/37=110'] Exploring Operation: 110-75=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 38, 55, 69, 67 ]
21
[ "69-67=2", "38*2=76", "76-55=21" ]
Current State: 21:[38, 55, 69, 67], Operations: [] Exploring Operation: 69-67=2, Resulting Numbers: [38, 55, 2] Generated Node #2: [38, 55, 2] from Operation: 69-67=2 Current State: 21:[38, 55, 2], Operations: ['69-67=2'] Exploring Operation: 38*2=76, Resulting Numbers: [55, 76] Generated Node #3: [55, 76] from Operation: 38*2=76 Current State: 21:[55, 76], Operations: ['69-67=2', '38*2=76'] Exploring Operation: 76-55=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 40, 4, 65, 39 ]
70
[ "40+4=44", "65-39=26", "44+26=70" ]
Current State: 70:[40, 4, 65, 39], Operations: [] Exploring Operation: 40+4=44, Resulting Numbers: [65, 39, 44] Generated Node #2: [65, 39, 44] from Operation: 40+4=44 Current State: 70:[65, 39, 44], Operations: ['40+4=44'] Exploring Operation: 65-39=26, Resulting Numbers: [44, 26] Generated Node #3: [44, 26] from Operation: 65-39=26 Current State: 70:[44, 26], Operations: ['40+4=44', '65-39=26'] Exploring Operation: 44+26=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 80, 25, 81, 40 ]
64
[ "80+25=105", "81-40=41", "105-41=64" ]
Current State: 64:[80, 25, 81, 40], Operations: [] Exploring Operation: 80+25=105, Resulting Numbers: [81, 40, 105] Generated Node #2: [81, 40, 105] from Operation: 80+25=105 Current State: 64:[81, 40, 105], Operations: ['80+25=105'] Exploring Operation: 81-40=41, Resulting Numbers: [105, 41] Generated Node #3: [105, 41] from Operation: 81-40=41 Current State: 64:[105, 41], Operations: ['80+25=105', '81-40=41'] Exploring Operation: 105-41=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 68, 60, 62, 22 ]
76
[ "68-60=8", "62+22=84", "84-8=76" ]
Current State: 76:[68, 60, 62, 22], Operations: [] Exploring Operation: 68-60=8, Resulting Numbers: [62, 22, 8] Generated Node #2: [62, 22, 8] from Operation: 68-60=8 Current State: 76:[62, 22, 8], Operations: ['68-60=8'] Exploring Operation: 62+22=84, Resulting Numbers: [8, 84] Generated Node #3: [8, 84] from Operation: 62+22=84 Current State: 76:[8, 84], Operations: ['68-60=8', '62+22=84'] Exploring Operation: 84-8=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 71, 21, 46, 77 ]
31
[ "71+21=92", "46+77=123", "123-92=31" ]
Current State: 31:[71, 21, 46, 77], Operations: [] Exploring Operation: 71+21=92, Resulting Numbers: [46, 77, 92] Generated Node #2: [46, 77, 92] from Operation: 71+21=92 Current State: 31:[46, 77, 92], Operations: ['71+21=92'] Exploring Operation: 46+77=123, Resulting Numbers: [92, 123] Generated Node #3: [92, 123] from Operation: 46+77=123 Current State: 31:[92, 123], Operations: ['71+21=92', '46+77=123'] Exploring Operation: 123-92=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 10, 9, 39, 1 ]
37
[ "10-9=1", "39-1=38", "38-1=37" ]
Current State: 37:[10, 9, 39, 1], Operations: [] Exploring Operation: 10-9=1, Resulting Numbers: [39, 1, 1] Generated Node #2: [39, 1, 1] from Operation: 10-9=1 Current State: 37:[39, 1, 1], Operations: ['10-9=1'] Exploring Operation: 39-1=38, Resulting Numbers: [38] 38,37 equal: Goal Reached Exploring Operation: 38-1=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 83, 13, 34, 94 ]
17
[ "83+13=96", "96-94=2", "34/2=17" ]
Current State: 17:[83, 13, 34, 94], Operations: [] Exploring Operation: 83+13=96, Resulting Numbers: [34, 94, 96] Generated Node #2: [34, 94, 96] from Operation: 83+13=96 Current State: 17:[34, 94, 96], Operations: ['83+13=96'] Exploring Operation: 96-94=2, Resulting Numbers: [34, 2] Generated Node #3: [34, 2] from Operation: 96-94=2 Current State: 17:[34, 2], Operations: ['83+13=96', '96-94=2'] Exploring Operation: 34/2=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 39, 78, 18, 78 ]
14
[ "78+78=156", "156/39=4", "18-4=14" ]
Current State: 14:[39, 78, 18, 78], Operations: [] Exploring Operation: 78+78=156, Resulting Numbers: [39, 18, 156] Generated Node #2: [39, 18, 156] from Operation: 78+78=156 Current State: 14:[39, 18, 156], Operations: ['78+78=156'] Exploring Operation: 156/39=4, Resulting Numbers: [18, 4] Generated Node #3: [18, 4] from Operation: 156/39=4 Current State: 14:[18, 4], Operations: ['78+78=156', '156/39=4'] Exploring Operation: 18-4=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 19, 92, 65, 34 ]
80
[ "19+92=111", "65-34=31", "111-31=80" ]
Current State: 80:[19, 92, 65, 34], Operations: [] Exploring Operation: 19+92=111, Resulting Numbers: [65, 34, 111] Generated Node #2: [65, 34, 111] from Operation: 19+92=111 Current State: 80:[65, 34, 111], Operations: ['19+92=111'] Exploring Operation: 65-34=31, Resulting Numbers: [111, 31] Generated Node #3: [111, 31] from Operation: 65-34=31 Current State: 80:[111, 31], Operations: ['19+92=111', '65-34=31'] Exploring Operation: 111-31=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 29, 58, 65, 1 ]
33
[ "58/29=2", "65+1=66", "66/2=33" ]
Current State: 33:[29, 58, 65, 1], Operations: [] Exploring Operation: 58/29=2, Resulting Numbers: [65, 1, 2] Generated Node #2: [65, 1, 2] from Operation: 58/29=2 Current State: 33:[65, 1, 2], Operations: ['58/29=2'] Exploring Operation: 65+1=66, Resulting Numbers: [2, 66] Generated Node #3: [2, 66] from Operation: 65+1=66 Current State: 33:[2, 66], Operations: ['58/29=2', '65+1=66'] Exploring Operation: 66/2=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 22, 95, 79, 2 ]
14
[ "95-79=16", "16/2=8", "22-8=14" ]
Current State: 14:[22, 95, 79, 2], Operations: [] Exploring Operation: 95-79=16, Resulting Numbers: [22, 2, 16] Generated Node #2: [22, 2, 16] from Operation: 95-79=16 Current State: 14:[22, 2, 16], Operations: ['95-79=16'] Exploring Operation: 16/2=8, Resulting Numbers: [22, 8] Generated Node #3: [22, 8] from Operation: 16/2=8 Current State: 14:[22, 8], Operations: ['95-79=16', '16/2=8'] Exploring Operation: 22-8=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 5, 3, 74, 31 ]
40
[ "74+31=105", "105/3=35", "5+35=40" ]
Current State: 40:[5, 3, 74, 31], Operations: [] Exploring Operation: 74+31=105, Resulting Numbers: [5, 3, 105] Generated Node #2: [5, 3, 105] from Operation: 74+31=105 Current State: 40:[5, 3, 105], Operations: ['74+31=105'] Exploring Operation: 105/3=35, Resulting Numbers: [5, 35] Generated Node #3: [5, 35] from Operation: 105/3=35 Current State: 40:[5, 35], Operations: ['74+31=105', '105/3=35'] Exploring Operation: 5+35=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 80, 91, 73, 64 ]
34
[ "80+91=171", "73+64=137", "171-137=34" ]
Current State: 34:[80, 91, 73, 64], Operations: [] Exploring Operation: 80+91=171, Resulting Numbers: [73, 64, 171] Generated Node #2: [73, 64, 171] from Operation: 80+91=171 Current State: 34:[73, 64, 171], Operations: ['80+91=171'] Exploring Operation: 73+64=137, Resulting Numbers: [171, 137] Generated Node #3: [171, 137] from Operation: 73+64=137 Current State: 34:[171, 137], Operations: ['80+91=171', '73+64=137'] Exploring Operation: 171-137=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 76, 4, 7, 6 ]
80
[ "76+4=80", "7-6=1", "80*1=80" ]
Current State: 80:[76, 4, 7, 6], Operations: [] Exploring Operation: 76+4=80, Resulting Numbers: [7, 6, 80] Generated Node #2: [7, 6, 80] from Operation: 76+4=80 Current State: 80:[7, 6, 80], Operations: ['76+4=80'] Exploring Operation: 7-6=1, Resulting Numbers: [80, 1] Generated Node #3: [80, 1] from Operation: 7-6=1 Current State: 80:[80, 1], Operations: ['76+4=80', '7-6=1'] Exploring Operation: 80*1=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 38, 4, 47, 55 ]
60
[ "38+4=42", "47+55=102", "102-42=60" ]
Current State: 60:[38, 4, 47, 55], Operations: [] Exploring Operation: 38+4=42, Resulting Numbers: [47, 55, 42] Generated Node #2: [47, 55, 42] from Operation: 38+4=42 Current State: 60:[47, 55, 42], Operations: ['38+4=42'] Exploring Operation: 47+55=102, Resulting Numbers: [42, 102] Generated Node #3: [42, 102] from Operation: 47+55=102 Current State: 60:[42, 102], Operations: ['38+4=42', '47+55=102'] Exploring Operation: 102-42=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 71, 98, 23, 73 ]
95
[ "71*98=6958", "6958-23=6935", "6935/73=95" ]
Current State: 95:[71, 98, 23, 73], Operations: [] Exploring Operation: 71*98=6958, Resulting Numbers: [23, 73, 6958] Generated Node #2: [23, 73, 6958] from Operation: 71*98=6958 Current State: 95:[23, 73, 6958], Operations: ['71*98=6958'] Exploring Operation: 6958-23=6935, Resulting Numbers: [73, 6935] Generated Node #3: [73, 6935] from Operation: 6958-23=6935 Current State: 95:[73, 6935], Operations: ['71*98=6958', '6958-23=6935'] Exploring Operation: 6935/73=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 31, 26, 44, 70 ]
30
[ "31-26=5", "70/5=14", "44-14=30" ]
Current State: 30:[31, 26, 44, 70], Operations: [] Exploring Operation: 31-26=5, Resulting Numbers: [44, 70, 5] Generated Node #2: [44, 70, 5] from Operation: 31-26=5 Current State: 30:[44, 70, 5], Operations: ['31-26=5'] Exploring Operation: 70/5=14, Resulting Numbers: [44, 14] Generated Node #3: [44, 14] from Operation: 70/5=14 Current State: 30:[44, 14], Operations: ['31-26=5', '70/5=14'] Exploring Operation: 44-14=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 8, 10, 81, 21 ]
11
[ "8+81=89", "21+89=110", "110/10=11" ]
Current State: 11:[8, 10, 81, 21], Operations: [] Exploring Operation: 8+81=89, Resulting Numbers: [10, 21, 89] Generated Node #2: [10, 21, 89] from Operation: 8+81=89 Current State: 11:[10, 21, 89], Operations: ['8+81=89'] Exploring Operation: 21+89=110, Resulting Numbers: [10, 110] Generated Node #3: [10, 110] from Operation: 21+89=110 Current State: 11:[10, 110], Operations: ['8+81=89', '21+89=110'] Exploring Operation: 110/10=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 3, 83, 64, 85 ]
63
[ "3+83=86", "64+85=149", "149-86=63" ]
Current State: 63:[3, 83, 64, 85], Operations: [] Exploring Operation: 3+83=86, Resulting Numbers: [64, 85, 86] Generated Node #2: [64, 85, 86] from Operation: 3+83=86 Current State: 63:[64, 85, 86], Operations: ['3+83=86'] Exploring Operation: 64+85=149, Resulting Numbers: [86, 149] Generated Node #3: [86, 149] from Operation: 64+85=149 Current State: 63:[86, 149], Operations: ['3+83=86', '64+85=149'] Exploring Operation: 149-86=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 69, 49, 12, 3 ]
30
[ "69-12=57", "57/3=19", "49-19=30" ]
Current State: 30:[69, 49, 12, 3], Operations: [] Exploring Operation: 69-12=57, Resulting Numbers: [49, 3, 57] Generated Node #2: [49, 3, 57] from Operation: 69-12=57 Current State: 30:[49, 3, 57], Operations: ['69-12=57'] Exploring Operation: 57/3=19, Resulting Numbers: [49, 19] Generated Node #3: [49, 19] from Operation: 57/3=19 Current State: 30:[49, 19], Operations: ['69-12=57', '57/3=19'] Exploring Operation: 49-19=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 10, 5, 42, 26 ]
10
[ "10/5=2", "26*2=52", "52-42=10" ]
Current State: 10:[10, 5, 42, 26], Operations: [] Exploring Operation: 10/5=2, Resulting Numbers: [42, 26, 2] Generated Node #2: [42, 26, 2] from Operation: 10/5=2 Current State: 10:[42, 26, 2], Operations: ['10/5=2'] Exploring Operation: 26*2=52, Resulting Numbers: [42, 52] Generated Node #3: [42, 52] from Operation: 26*2=52 Current State: 10:[42, 52], Operations: ['10/5=2', '26*2=52'] Exploring Operation: 52-42=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 59, 8, 3, 75 ]
24
[ "59+8=67", "75-67=8", "3*8=24" ]
Current State: 24:[59, 8, 3, 75], Operations: [] Exploring Operation: 59+8=67, Resulting Numbers: [3, 75, 67] Generated Node #2: [3, 75, 67] from Operation: 59+8=67 Current State: 24:[3, 75, 67], Operations: ['59+8=67'] Exploring Operation: 75-67=8, Resulting Numbers: [3, 8] Generated Node #3: [3, 8] from Operation: 75-67=8 Current State: 24:[3, 8], Operations: ['59+8=67', '75-67=8'] Exploring Operation: 3*8=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 75, 47, 90, 81 ]
37
[ "75-47=28", "90-81=9", "28+9=37" ]
Current State: 37:[75, 47, 90, 81], Operations: [] Exploring Operation: 75-47=28, Resulting Numbers: [90, 81, 28] Generated Node #2: [90, 81, 28] from Operation: 75-47=28 Current State: 37:[90, 81, 28], Operations: ['75-47=28'] Exploring Operation: 90-81=9, Resulting Numbers: [28, 9] Generated Node #3: [28, 9] from Operation: 90-81=9 Current State: 37:[28, 9], Operations: ['75-47=28', '90-81=9'] Exploring Operation: 28+9=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 36, 17, 3, 23 ]
52
[ "36/3=12", "17+23=40", "12+40=52" ]
Current State: 52:[36, 17, 3, 23], Operations: [] Exploring Operation: 36/3=12, Resulting Numbers: [17, 23, 12] Generated Node #2: [17, 23, 12] from Operation: 36/3=12 Current State: 52:[17, 23, 12], Operations: ['36/3=12'] Exploring Operation: 17+23=40, Resulting Numbers: [12, 40] Generated Node #3: [12, 40] from Operation: 17+23=40 Current State: 52:[12, 40], Operations: ['36/3=12', '17+23=40'] Exploring Operation: 12+40=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 81, 3, 11, 56 ]
98
[ "81-11=70", "3*56=168", "168-70=98" ]
Current State: 98:[81, 3, 11, 56], Operations: [] Exploring Operation: 81-11=70, Resulting Numbers: [3, 56, 70] Generated Node #2: [3, 56, 70] from Operation: 81-11=70 Current State: 98:[3, 56, 70], Operations: ['81-11=70'] Exploring Operation: 3*56=168, Resulting Numbers: [70, 168] Generated Node #3: [70, 168] from Operation: 3*56=168 Current State: 98:[70, 168], Operations: ['81-11=70', '3*56=168'] Exploring Operation: 168-70=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 56, 4, 4, 16 ]
59
[ "16-4=12", "12/4=3", "56+3=59" ]
Current State: 59:[56, 4, 4, 16], Operations: [] Exploring Operation: 16-4=12, Resulting Numbers: [56, 12] Generated Node #2: [56, 12] from Operation: 16-4=12 Current State: 59:[56, 12], Operations: ['16-4=12'] Exploring Operation: 12/4=3, Resulting Numbers: [56, 3] Generated Node #3: [56, 3] from Operation: 12/4=3 Current State: 59:[56, 3], Operations: ['16-4=12', '12/4=3'] Exploring Operation: 56+3=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 72, 25, 69, 38 ]
16
[ "72-25=47", "69-38=31", "47-31=16" ]
Current State: 16:[72, 25, 69, 38], Operations: [] Exploring Operation: 72-25=47, Resulting Numbers: [69, 38, 47] Generated Node #2: [69, 38, 47] from Operation: 72-25=47 Current State: 16:[69, 38, 47], Operations: ['72-25=47'] Exploring Operation: 69-38=31, Resulting Numbers: [47, 31] Generated Node #3: [47, 31] from Operation: 69-38=31 Current State: 16:[47, 31], Operations: ['72-25=47', '69-38=31'] Exploring Operation: 47-31=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 94, 12, 61, 19 ]
73
[ "94+61=155", "12*19=228", "228-155=73" ]
Current State: 73:[94, 12, 61, 19], Operations: [] Exploring Operation: 94+61=155, Resulting Numbers: [12, 19, 155] Generated Node #2: [12, 19, 155] from Operation: 94+61=155 Current State: 73:[12, 19, 155], Operations: ['94+61=155'] Exploring Operation: 12*19=228, Resulting Numbers: [155, 228] Generated Node #3: [155, 228] from Operation: 12*19=228 Current State: 73:[155, 228], Operations: ['94+61=155', '12*19=228'] Exploring Operation: 228-155=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 4, 25, 55, 16 ]
34
[ "4*16=64", "55-25=30", "64-30=34" ]
Current State: 34:[4, 25, 55, 16], Operations: [] Exploring Operation: 4*16=64, Resulting Numbers: [25, 55, 64] Generated Node #2: [25, 55, 64] from Operation: 4*16=64 Current State: 34:[25, 55, 64], Operations: ['4*16=64'] Exploring Operation: 55-25=30, Resulting Numbers: [64, 30] Generated Node #3: [64, 30] from Operation: 55-25=30 Current State: 34:[64, 30], Operations: ['4*16=64', '55-25=30'] Exploring Operation: 64-30=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 16, 74, 65, 73 ]
82
[ "16+74=90", "73-65=8", "90-8=82" ]
Current State: 82:[16, 74, 65, 73], Operations: [] Exploring Operation: 16+74=90, Resulting Numbers: [65, 73, 90] Generated Node #2: [65, 73, 90] from Operation: 16+74=90 Current State: 82:[65, 73, 90], Operations: ['16+74=90'] Exploring Operation: 73-65=8, Resulting Numbers: [90, 8] Generated Node #3: [90, 8] from Operation: 73-65=8 Current State: 82:[90, 8], Operations: ['16+74=90', '73-65=8'] Exploring Operation: 90-8=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4