C++ code to find three numbers whose sum is n

Suppose we have a number n. We are going to find three numbers a, b and c, such that a + b + c = n and none of these three numbers are multiple of 3.

So, if the input is like n = 233, then the output will be [77, 77, 79]

Steps

To solve this, we will follow these steps −

if (n - 2) mod 3 is same as 0, then:
   return 1, 2, and n - 3
Otherwise
   return 1, 1, and n - 2

Example

Let us see the following implementation to get better understanding −

#include <bits/stdc++.h>
using namespace std;
void solve(int n){
   if ((n - 2) % 3 == 0)
      cout << 1 << ", " << 2 << ", " << n - 3;
   else
      cout << 1 << ", " << 1 << ", " << n - 2;
}
int main(){
   int n = 233;
   solve(n);
}

Input

233

Output

1, 2, 230