C++ Exercises: Accepts n different numbers and s which is equal to the sum of the n different numbers
C++ Basic: Exercise-80 with Solution
Write a C++ program that accepts n different numbers (0 to 100) and s which is equal to the sum of the n different numbers.
Your job is to find the number of combination of n numbers and the same number can not be used for one combination.
Example:
Here n = 3 and s = 6:
1 + 2 + 3 = 6
0 + 1 + 5 = 6
0 + 2 + 4 = 6
Output: Number of combination: 3
Pictorial Presentation:
Sample Solution:
C++ Code :
#include <iostream>
#define range(i,a,b) for(int (i)=(a);(i)<(b);(i)++)
#define rep(i,n) range(i,0,n)
using namespace std;
int n,s;
long long int dp[10][1010];
int main(void){
dp[0][0]=1LL;
rep(i,101){
for(int j=8;j>=0;j--)rep(k,1010){
if(k+i<=1010)
dp[j+1][k+i]+=dp[j][k];
}
}
cout << "Input n and s: ";
cin >> n >> s;
cout << "\nNumber of combination: ";
cout << dp[n][s] << endl;
return 0;
}
Sample Output:
Input n and s: 3 6 Number of combination: 3
Flowchart:
C++ Code Editor:
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