How many solutions (m,n positive integers only) are there for
floor(m/6)=floor(n/13) ?
List them.
there are 288:
m n value
1 1 0
1 2 0
1 3 0
1 4 0
1 5 0
1 6 0
1 7 0
1 8 0
1 9 0
1 10 0
1 11 0
1 12 0
2 1 0
2 2 0
2 3 0
2 4 0
2 5 0
2 6 0
2 7 0
2 8 0
2 9 0
2 10 0
2 11 0
2 12 0
3 1 0
3 2 0
3 3 0
3 4 0
3 5 0
3 6 0
3 7 0
3 8 0
3 9 0
3 10 0
3 11 0
3 12 0
4 1 0
4 2 0
4 3 0
4 4 0
4 5 0
4 6 0
4 7 0
4 8 0
4 9 0
4 10 0
4 11 0
4 12 0
5 1 0
5 2 0
5 3 0
5 4 0
5 5 0
5 6 0
5 7 0
5 8 0
5 9 0
5 10 0
5 11 0
5 12 0
6 13 1
6 14 1
6 15 1
6 16 1
6 17 1
6 18 1
6 19 1
6 20 1
6 21 1
6 22 1
6 23 1
6 24 1
6 25 1
7 13 1
7 14 1
7 15 1
7 16 1
7 17 1
7 18 1
7 19 1
7 20 1
7 21 1
7 22 1
7 23 1
7 24 1
7 25 1
8 13 1
8 14 1
8 15 1
8 16 1
8 17 1
8 18 1
8 19 1
8 20 1
8 21 1
8 22 1
8 23 1
8 24 1
8 25 1
9 13 1
9 14 1
9 15 1
9 16 1
9 17 1
9 18 1
9 19 1
9 20 1
9 21 1
9 22 1
9 23 1
9 24 1
9 25 1
10 13 1
10 14 1
10 15 1
10 16 1
10 17 1
10 18 1
10 19 1
10 20 1
10 21 1
10 22 1
10 23 1
10 24 1
10 25 1
11 13 1
11 14 1
11 15 1
11 16 1
11 17 1
11 18 1
11 19 1
11 20 1
11 21 1
11 22 1
11 23 1
11 24 1
11 25 1
12 26 2
12 27 2
12 28 2
12 29 2
12 30 2
12 31 2
12 32 2
12 33 2
12 34 2
12 35 2
12 36 2
12 37 2
12 38 2
13 26 2
13 27 2
13 28 2
13 29 2
13 30 2
13 31 2
13 32 2
13 33 2
13 34 2
13 35 2
13 36 2
13 37 2
13 38 2
14 26 2
14 27 2
14 28 2
14 29 2
14 30 2
14 31 2
14 32 2
14 33 2
14 34 2
14 35 2
14 36 2
14 37 2
14 38 2
15 26 2
15 27 2
15 28 2
15 29 2
15 30 2
15 31 2
15 32 2
15 33 2
15 34 2
15 35 2
15 36 2
15 37 2
15 38 2
16 26 2
16 27 2
16 28 2
16 29 2
16 30 2
16 31 2
16 32 2
16 33 2
16 34 2
16 35 2
16 36 2
16 37 2
16 38 2
17 26 2
17 27 2
17 28 2
17 29 2
17 30 2
17 31 2
17 32 2
17 33 2
17 34 2
17 35 2
17 36 2
17 37 2
17 38 2
18 39 3
18 40 3
18 41 3
18 42 3
18 43 3
18 44 3
18 45 3
18 46 3
18 47 3
18 48 3
18 49 3
18 50 3
19 39 3
19 40 3
19 41 3
19 42 3
19 43 3
19 44 3
19 45 3
19 46 3
19 47 3
19 48 3
19 49 3
19 50 3
20 39 3
20 40 3
20 41 3
20 42 3
20 43 3
20 44 3
20 45 3
20 46 3
20 47 3
20 48 3
20 49 3
20 50 3
21 39 3
21 40 3
21 41 3
21 42 3
21 43 3
21 44 3
21 45 3
21 46 3
21 47 3
21 48 3
21 49 3
21 50 3
22 39 3
22 40 3
22 41 3
22 42 3
22 43 3
22 44 3
22 45 3
22 46 3
22 47 3
22 48 3
22 49 3
22 50 3
23 39 3
23 40 3
23 41 3
23 42 3
23 43 3
23 44 3
23 45 3
23 46 3
23 47 3
23 48 3
23 49 3
23 50 3
Mintoris basic program (Android ):
open 2, "on the same floor.txt","w"
For m=1 to 50
for n=1to 50
if Floor(m/6)=floor(n/13) then
ct=ct+1
write 2, Format$(m,"###0")
write 2, " "
write 2, Format$(n,"###0")
Write 2," "
writeln 2,Format$(floor(n/13),"###0")
Endif
next
next
close 2
Print ct
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Posted by Charlie
on 2016-11-23 20:14:31 |
the computer says
