Given an array **arr[]** consisting of **N** distinct integers, the task is to rearrange the array such that no element is same as its index ( *1-based indexing* ). If multiple solutions exist, print any one of them.

**Examples:**

Input:arr[] = {4, 2, 3, 1}Output:3 1 4 2Explanation:The elements at indices {1, 2, 3, 4} are {3, 1, 4, 2} respectively.

Input:arr[] = {10, 20, 30, 40, 6}Output:6 10 20 30 40Explanation:The elements at indices {1, 2, 3, 4, 5} are {6, 10, 20, 30, 40} respectively.

**Approach:** The idea is to use sorting and swap each adjacent pair of indices at any index **i **if **arr[i] **is equal to **i**. This is because, if** arr[i] = i** holds true, then definitely **arr[i + 1] ≠ i** and **arr[i] ≠ i + 1** because **arr[i + 1] > arr[i]**. If the last element, **arr[N]** is equal to **N**, then swap **arr[N]** and **arr[N – 1]**. Follow the steps below to solve the problem:

- Sort the array arr[] in the increasing order.
- Traverse the array over the range
**[0, N – 2]**using the variable**i**and check if**arr[i]**is the same as**(i + 1)**or not. If found to be true, then swap**arr[i]**and**arr[i + 1]**. - Now, for the last array element, if
**arr[N]**is same as**N**, then swap**arr[N]**and**arr[N – 1]**. - After completing the above steps, print the modified array.

Below is the implementation of the above approach:

## C++

`// C++ program for the above approach` `#include <bits/stdc++.h>` `using` `namespace` `std;` `// Function to rearrange the array a[]` `// such that none of the array elements` `// is same as its index` `void` `rearrangeArray(` `int` `a[], ` `int` `n)` `{` ` ` `// Sort the array` ` ` `sort(a, a + n);` ` ` `// Traverse the indices [0, N - 2]` ` ` `// of the given array` ` ` `for` `(` `int` `i = 0; i < n - 1; i++) {` ` ` `// Check if the current element` ` ` `// is equal to its index` ` ` `if` `(a[i] == i + 1) {` ` ` `// If found to be true, swap` ` ` `// current element with the` ` ` `// next element` ` ` `swap(a[i], a[i + 1]);` ` ` `}` ` ` `}` ` ` `// Check if the last element is` ` ` `// same as its index` ` ` `if` `(a[n - 1] == n) {` ` ` `// If found to be true, swap` ` ` `// current element with the` ` ` `// previous element` ` ` `swap(a[n - 1], a[n - 2]);` ` ` `}` ` ` `// Print the modified array` ` ` `for` `(` `int` `i = 0; i < n; i++) {` ` ` `cout << a[i] << ` `" "` `;` ` ` `}` `}` `// Driver Code` `int` `main()` `{` ` ` `int` `arr[] = { 1, 5, 3, 2, 4 };` ` ` `int` `N = ` `sizeof` `(arr) / ` `sizeof` `(arr[0]);` ` ` `// Function Call` ` ` `rearrangeArray(arr, N);` ` ` `return` `0;` `}` |

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## Java

`// Java program for the above approach` `import` `java.util.*;` `class` `GFG{` ` ` `// Function to rearrange the array a[]` `// such that none of the array elements` `// is same as its index` `static` `void` `rearrangeArray(` `int` `a[], ` `int` `n)` `{` ` ` ` ` `// Sort the array` ` ` `Arrays.sort(a);` ` ` ` ` `// Traverse the indices [0, N - 2]` ` ` `// of the given array` ` ` `for` `(` `int` `i = ` `0` `; i < n - ` `1` `; i++) ` ` ` `{` ` ` ` ` `// Check if the current element` ` ` `// is equal to its index` ` ` `if` `(a[i] == i + ` `1` `) ` ` ` `{` ` ` ` ` `// If found to be true, swap` ` ` `// current element with the` ` ` `// next element` ` ` `int` `temp = a[i];` ` ` `a[i] = a[i + ` `1` `];` ` ` `a[i + ` `1` `] = temp;` ` ` `}` ` ` `}` ` ` `// Check if the last element is` ` ` `// same as its index` ` ` `if` `(a[n - ` `1` `] == n) ` ` ` `{` ` ` ` ` `// If found to be true, swap` ` ` `// current element with the` ` ` `// previous element` ` ` `int` `temp = a[n - ` `1` `];` ` ` `a[n - ` `1` `] = a[n - ` `2` `];` ` ` `a[n - ` `2` `] = temp;` ` ` `}` ` ` ` ` `// Print the modified array` ` ` `for` `(` `int` `i = ` `0` `; i < n; i++)` ` ` `{` ` ` `System.out.print(a[i] + ` `" "` `);` ` ` `}` `}` `// Driver Code` `public` `static` `void` `main(String args[])` `{` ` ` `int` `arr[] = { ` `1` `, ` `5` `, ` `3` `, ` `2` `, ` `4` `};` ` ` `int` `N = arr.length;` ` ` ` ` `// Function Call` ` ` `rearrangeArray(arr, N);` `}` `}` `// This code is contributed by ipg2016107` |

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## Python3

`# Python3 program for the above approach` `# Function to rearrange the array a[]` `# such that none of the array elements` `# is same as its index` `def` `rearrangeArray(a, n):` ` ` ` ` `# Sort the array` ` ` `a ` `=` `sorted` `(a)` ` ` `# Traverse the indices [0, N - 2]` ` ` `# of the given array` ` ` `for` `i ` `in` `range` `(n ` `-` `1` `):` ` ` `# Check if the current element` ` ` `# is equal to its index` ` ` `if` `(a[i] ` `=` `=` `i ` `+` `1` `):` ` ` `# If found to be true, swap` ` ` `# current element with the` ` ` `# next element` ` ` `a[i], a[i ` `+` `1` `] ` `=` `a[i ` `+` `1` `], a[i]` ` ` `# Check if the last element is` ` ` `# same as its index` ` ` `if` `(a[n ` `-` `1` `] ` `=` `=` `n):` ` ` `# If found to be true, swap` ` ` `# current element with the` ` ` `# previous element` ` ` `a[n ` `-` `1` `], a[n ` `-` `2` `] ` `=` `a[n ` `-` `2` `], a[n ` `-` `1` `]` ` ` `# Prthe modified array` ` ` `for` `i ` `in` `range` `(n):` ` ` `print` `(a[i], end ` `=` `" "` `)` `# Driver Code` `if` `__name__ ` `=` `=` `'__main__'` `:` ` ` `arr ` `=` `[` `1` `, ` `5` `, ` `3` `, ` `2` `, ` `4` `]` ` ` `N ` `=` `len` `(arr)` ` ` `# Function Call` ` ` `rearrangeArray(arr, N)` ` ` `# This code is contributed by mohit kumar 29` |

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## C#

`// C# program for the above approach` `using` `System;` `public` `class` `GFG` `{` ` ` `// Function to rearrange the array []a` `// such that none of the array elements` `// is same as its index` `static` `void` `rearrangeArray(` `int` `[]a, ` `int` `n)` `{` ` ` ` ` `// Sort the array` ` ` `Array.Sort(a);` ` ` ` ` `// Traverse the indices [0, N - 2]` ` ` `// of the given array` ` ` `for` `(` `int` `i = 0; i < n - 1; i++) ` ` ` `{` ` ` ` ` `// Check if the current element` ` ` `// is equal to its index` ` ` `if` `(a[i] == i + 1) ` ` ` `{` ` ` ` ` `// If found to be true, swap` ` ` `// current element with the` ` ` `// next element` ` ` `int` `temp = a[i];` ` ` `a[i] = a[i + 1];` ` ` `a[i + 1] = temp;` ` ` `}` ` ` `}` ` ` `// Check if the last element is` ` ` `// same as its index` ` ` `if` `(a[n - 1] == n) ` ` ` `{` ` ` ` ` `// If found to be true, swap` ` ` `// current element with the` ` ` `// previous element` ` ` `int` `temp = a[n - 1];` ` ` `a[n - 1] = a[n - 2];` ` ` `a[n - 2] = temp;` ` ` `}` ` ` ` ` `// Print the modified array` ` ` `for` `(` `int` `i = 0; i < n; i++)` ` ` `{` ` ` `Console.Write(a[i] + ` `" "` `);` ` ` `}` `}` `// Driver Code` `public` `static` `void` `Main(String []args)` `{` ` ` `int` `[]arr = { 1, 5, 3, 2, 4 };` ` ` `int` `N = arr.Length;` ` ` ` ` `// Function Call` ` ` `rearrangeArray(arr, N);` `}` `}` `// This code is contributed by 29AjayKumar` |

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**Output:**

2 1 4 5 3

**Time Complexity:** O(N*log N)**Auxiliary Space:** O(1)

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