# Next higher number with same number of set bits in C++

We are given a number n, we have to find the number that is greater than n with same number of set bits as n in its binary representation.

The digit 1 in the binary representation is called set bit.

Let's see an example.

Input

124

Output

143

## Algorithm

• Initialise the number n.

• Write a function get the count of number of set bits.

• Initialise the iterative variable with n + 1.

• Write an infinite loop.

• Check for the number of set bits for numbers equal to the number of set bits of n.

• Return the number when you find it.

• Increment the number.

## Implementation

Following is the implementation of the above algorithm in C++

#include <bits/stdc++.h>
using namespace std;
int getSetBitsCount(int n) {
int count = 0;
while (n) {
if (n % 2 == 1) {
count += 1;
}
n /= 2;
}
return count;
}
int getNextGreaterElementWithSameSetBits(int n) {
int setBitsCount = getSetBitsCount(n);
int i = n + 1;
while (true) {
if (setBitsCount == getSetBitsCount(i)) {
return i;
}
i += 1;
}
}
int main() {
int n = 124;
cout << getNextGreaterElementWithSameSetBits(n) << endl;
return 0;
}

## Output

If you run the above code, then you will get the following result.

143

Updated on: 25-Oct-2021

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