Print all permutations of a number N greater than itself

Given a number N, our task is to print those permutations of integer N which are greater than N.

Examples:

Input: N = 534
Output: 543

Input: N = 324
Output: 342, 423, 432

Approach: To solve this problem, we can obtain all the lexicographically larger permutations of N using next_permutation() method in C++. After getting all such numbers, print them.



For other languages, find the permutations of number N and print the numbers which are greater than N.

Below is the implementation of above approach:

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// C++ implementation to print all the
// permutation greater than the integer N
  
#include <bits/stdc++.h>
using namespace std;
  
// Function to print all the permutation
// which are greater than N itself
void printPermutation(int N)
{
    int temp = N, count = 0;
  
    // Iterate and count the
    // number of digits in N
    while (temp > 0) {
        count++;
        temp /= 10;
    }
  
    // vector to print the
    // permutations of N
    vector<int> num(count);
  
    // Store digits of N
    // in the vector num
    while (N > 0) {
        num[count-- - 1] = N % 10;
        N = N / 10;
    }
  
    // Iterate over every permutation of N
    // which is greater than N
    while (next_permutation(
        num.begin(), num.end())) {
  
        // Print the current permutaion of N
        for (int i = 0; i < num.size(); i++)
            cout << num[i];
  
        cout << "\n";
    }
}
  
// Driver Code
int main()
{
    int N = 324;
  
    printPermutation(N);
  
    return 0;
}

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Output:

342
423
432

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