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Problem-solving ideas:
F [i] [j] denotes the number of the j-th program 100 i-50.
AC Code:
1 #include<iostream> 2 #include<cstdio> 3 4 using namespace std; 5 6 long long n,f[22][22]; 7 8 int main() { 9 scanf("%lld",&n); 10 for(int i = 1;i <= n; i++) 11 f[i][0] = 1; 12 for(int i = 1;i <= n; i++) 13 for(int j = 1;j <= i; j++) 14 f[i][j] = f[i-1][j] + f[i][j-1]; 15 printf("%lld",f[n][n]); 16 return 0; 17 }