Combination of sum of sets
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There are nnumber of sets with 4 elements where the set are fixed.
A = {10, 0, 5, 2}
B = {5, 2, 4, 8}
C = {3, 5, 7, 0}
D = {4, 3, 0, 9}
E = {0, 2, 0, 1}
F = {3, 0, 9, 2}
G = {1, 0, 2, 3}
H = {3, 1, 0, 2}
.
.
.
n
I would like to generate the combination of m sets of designated sum with the following rules:
- The designated sum is inputed by user
- Each set can only be used once
- 4 sets in maximum to reach the sum
- It can be equal or larger than the sum
For example, I want to generate the following sum.
{13, 5, 12, 2}
{8, 5, 4, 13}
{3, 1, 8, 2}
.
.
.
m
After the calculation, the combination of each set will be resulted.
{13, 5, 12, 2} = A,C = {10+3, 0+5, 5+7, 2+0} = {13, 5, 12, 2}
{8, 5, 4, 13} = B,D = {5+4, 2+3, 4+0, 8+9} = {9, 5, 4, 15}
{7, 3, 10, 8} = E,F,G,H = {0+3+1+3, 2+0+0+1, 0+9+2+0, 1+2+3+2} = {7, 3, 11, 8}
What will be the best way and easiest to perform the calculation?
set combinations
asked Nov 12 at 18:34
leo93213
11
add a comment |
up vote
0
down vote
favorite
There are nnumber of sets with 4 elements where the set are fixed.
A = {10, 0, 5, 2}
B = {5, 2, 4, 8}
C = {3, 5, 7, 0}
D = {4, 3, 0, 9}
E = {0, 2, 0, 1}
F = {3, 0, 9, 2}
G = {1, 0, 2, 3}
H = {3, 1, 0, 2}
.
.
.
n
I would like to generate the combination of m sets of designated sum with the following rules:
- The designated sum is inputed by user
- Each set can only be used once
- 4 sets in maximum to reach the sum
- It can be equal or larger than the sum
For example, I want to generate the following sum.
{13, 5, 12, 2}
{8, 5, 4, 13}
{3, 1, 8, 2}
.
.
.
m
After the calculation, the combination of each set will be resulted.
{13, 5, 12, 2} = A,C = {10+3, 0+5, 5+7, 2+0} = {13, 5, 12, 2}
{8, 5, 4, 13} = B,D = {5+4, 2+3, 4+0, 8+9} = {9, 5, 4, 15}
{7, 3, 10, 8} = E,F,G,H = {0+3+1+3, 2+0+0+1, 0+9+2+0, 1+2+3+2} = {7, 3, 11, 8}
What will be the best way and easiest to perform the calculation?
set combinations
asked Nov 12 at 18:34
leo93213
11
This looks like an interesting problem. What have you tried?
– Joseph Wood
Nov 12 at 22:26
add a comment |
up vote
0
down vote
favorite
up vote
0
down vote
favorite
There are nnumber of sets with 4 elements where the set are fixed.
A = {10, 0, 5, 2}
B = {5, 2, 4, 8}
C = {3, 5, 7, 0}
D = {4, 3, 0, 9}
E = {0, 2, 0, 1}
F = {3, 0, 9, 2}
G = {1, 0, 2, 3}
H = {3, 1, 0, 2}
.
.
.
n
I would like to generate the combination of m sets of designated sum with the following rules:
- The designated sum is inputed by user
- Each set can only be used once
- 4 sets in maximum to reach the sum
- It can be equal or larger than the sum
For example, I want to generate the following sum.
{13, 5, 12, 2}
{8, 5, 4, 13}
{3, 1, 8, 2}
.
.
.
m
After the calculation, the combination of each set will be resulted.
{13, 5, 12, 2} = A,C = {10+3, 0+5, 5+7, 2+0} = {13, 5, 12, 2}
{8, 5, 4, 13} = B,D = {5+4, 2+3, 4+0, 8+9} = {9, 5, 4, 15}
{7, 3, 10, 8} = E,F,G,H = {0+3+1+3, 2+0+0+1, 0+9+2+0, 1+2+3+2} = {7, 3, 11, 8}
What will be the best way and easiest to perform the calculation?
set combinations
asked Nov 12 at 18:34
leo93213
11
There are nnumber of sets with 4 elements where the set are fixed.
A = {10, 0, 5, 2}
B = {5, 2, 4, 8}
C = {3, 5, 7, 0}
D = {4, 3, 0, 9}
E = {0, 2, 0, 1}
F = {3, 0, 9, 2}
G = {1, 0, 2, 3}
H = {3, 1, 0, 2}
.
.
.
n
I would like to generate the combination of m sets of designated sum with the following rules:
- The designated sum is inputed by user
- Each set can only be used once
- 4 sets in maximum to reach the sum
- It can be equal or larger than the sum
For example, I want to generate the following sum.
{13, 5, 12, 2}
{8, 5, 4, 13}
{3, 1, 8, 2}
.
.
.
m
After the calculation, the combination of each set will be resulted.
{13, 5, 12, 2} = A,C = {10+3, 0+5, 5+7, 2+0} = {13, 5, 12, 2}
{8, 5, 4, 13} = B,D = {5+4, 2+3, 4+0, 8+9} = {9, 5, 4, 15}
{7, 3, 10, 8} = E,F,G,H = {0+3+1+3, 2+0+0+1, 0+9+2+0, 1+2+3+2} = {7, 3, 11, 8}
What will be the best way and easiest to perform the calculation?
set combinations
set combinations
asked Nov 12 at 18:34
leo93213
11
asked Nov 12 at 18:34
leo93213
11
asked Nov 12 at 18:34
leo93213
11
asked Nov 12 at 18:34
leo93213
11
asked Nov 12 at 18:34
leo93213
11
11
This looks like an interesting problem. What have you tried?
– Joseph Wood
Nov 12 at 22:26
add a comment |
This looks like an interesting problem. What have you tried?
– Joseph Wood
Nov 12 at 22:26
This looks like an interesting problem. What have you tried?
– Joseph Wood
Nov 12 at 22:26
This looks like an interesting problem. What have you tried?
– Joseph Wood
Nov 12 at 22:26
add a comment |
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This looks like an interesting problem. What have you tried?
– Joseph Wood
Nov 12 at 22:26