Given an array of elements of length N, ranging from 0 to N – 1. All elements may not be present in the array. If the element is not present then there will be -1 present in the array. Rearrange the array such that A[i] = i and if i is not present, display -1 at that place.
Examples:
Input : arr = {-1, -1, 6, 1, 9, 3, 2, -1, 4, -1}
Output : [-1, 1, 2, 3, 4, -1, 6, -1, -1, 9]
Input : arr = {19, 7, 0, 3, 18, 15, 12, 6, 1, 8,
11, 10, 9, 5, 13, 16, 2, 14, 17, 4}
Output : [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10,
11, 12, 13, 14, 15, 16, 17, 18, 19]
Approach(Naive Approach):
- Navigate the numbers from 0 to n-1.
- Now navigate through array.
- If (i==a[j]) , then replace the element at i position with a[j] position.
- If there is any element in which -1 is used instead of the number then it will be replaced automatically.
- Now, iterate through the array and check if (a[i]!=i) , if it s true then replace a[i] with -1.
Below is the implementation for the above approach:
C++
// C++ program for above approach#include <iostream>using namespace std;// Function to transform the arrayvoid fixArray(int ar[], int n){ int i, j, temp; // Iterate over the array for (i = 0; i < n; i++) { for (j = 0; j < n; j++) { // Check is any ar[j] // exists such that // ar[j] is equal to i if (ar[j] == i) { temp = ar[j]; ar[j] = ar[i]; ar[i] = temp; break; } } } // Iterate over array for (i = 0; i < n; i++) { // If not present if (ar[i] != i) { ar[i] = -1; } } // Print the output cout << "Array after Rearranging" << endl; for (i = 0; i < n; i++) { cout << ar[i] << " "; }}// Driver Codeint main(){ int n, ar[] = { -1, -1, 6, 1, 9, 3, 2, -1, 4, -1 }; n = sizeof(ar) / sizeof(ar[0]); // Function Call fixArray(ar, n);}// Code BY Tanmay Anand |
C
// C program for above approach#include <stdio.h>// Function to transform the arrayvoid fixArray(int ar[], int n){ int i, j, temp; // Iterate over the array for (i = 0; i < n; i++) { for (j = 0; j < n; j++) { // Check is any ar[j] // exists such that // ar[j] is equal to i if (ar[j] == i) { temp = ar[j]; ar[j] = ar[i]; ar[i] = temp; break; } } } // Iterate over array for (i = 0; i < n; i++) { // If not present if (ar[i] != i) { ar[i] = -1; } } // Print the output printf("Array after Rearranging\n"); for (i = 0; i < n; i++) { printf("%d ",ar[i]); }}// Driver Codeint main(){ int n, ar[] = { -1, -1, 6, 1, 9, 3, 2, -1, 4, -1 }; n = sizeof(ar) / sizeof(ar[0]); // Function Call fixArray(ar, n);}// This code is contributed by kothvvsaakash. |
Java
// Java program for above approachpublic class GFG{ // Function to transform the arraypublic static void fixArray(int ar[], int n){ int i, j, temp; // Iterate over the array for(i = 0; i < n; i++) { for(j = 0; j < n; j++) { // Check is any ar[j] // exists such that // ar[j] is equal to i if (ar[j] == i) { temp = ar[j]; ar[j] = ar[i]; ar[i] = temp; break; } } } // Iterate over array for(i = 0; i < n; i++) { // If not present if (ar[i] != i) { ar[i] = -1; } } // Print the output System.out.println("Array after Rearranging"); for(i = 0; i < n; i++) { System.out.print(ar[i] + " "); }}// Driver Codepublic static void main(String[] args){ int n, ar[] = { -1, -1, 6, 1, 9, 3, 2, -1, 4, -1 }; n = ar.length; // Function Call fixArray(ar, n);}}// This code is contributed by divyesh072019 |
Python3
# Python3 program for above approach# Function to transform the arraydef fixArray(ar, n): # Iterate over the array for i in range(n): for j in range(n): # Check is any ar[j] # exists such that # ar[j] is equal to i if (ar[j] == i): ar[j], ar[i] = ar[i], ar[j] # Iterate over array for i in range(n): # If not present if (ar[i] != i): ar[i] = -1 # Print the output print("Array after Rearranging") for i in range(n): print(ar[i], end = " ")# Driver Codear = [ -1, -1, 6, 1, 9, 3, 2, -1, 4, -1 ]n = len(ar)# Function CallfixArray(ar, n);# This code is contributed by rag2127 |
C#
// C# program for above approachusing System;class GFG { // Function to transform the array static void fixArray(int[] ar, int n) { int i, j, temp; // Iterate over the array for(i = 0; i < n; i++) { for(j = 0; j < n; j++) { // Check is any ar[j] // exists such that // ar[j] is equal to i if (ar[j] == i) { temp = ar[j]; ar[j] = ar[i]; ar[i] = temp; break; } } } // Iterate over array for(i = 0; i < n; i++) { // If not present if (ar[i] != i) { ar[i] = -1; } } // Print the output Console.WriteLine("Array after Rearranging"); for(i = 0; i < n; i++) { Console.Write(ar[i] + " "); } } static void Main() { int[] ar = { -1, -1, 6, 1, 9, 3, 2, -1, 4, -1 }; int n = ar.Length; // Function Call fixArray(ar, n); }}// This code is contributed by divyeshrabadiya07 |
Javascript
<script> // JavaScript program for above approach // Function to transform the array function fixArray(ar, n) { var i, j, temp; // Iterate over the array for (i = 0; i < n; i++) { for (j = 0; j < n; j++) { // Check is any ar[j] // exists such that // ar[j] is equal to i if (ar[j] == i) { temp = ar[j]; ar[j] = ar[i]; ar[i] = temp; break; } } } // Iterate over array for (i = 0; i < n; i++) { // If not present if (ar[i] != i) { ar[i] = -1; } } // Print the output document.write("Array after Rearranging"); document.write("<br>"); for (i = 0; i < n; i++) { document.write(ar[i] + " "); } } // Driver Code var n, ar = [-1, -1, 6, 1, 9, 3, 2, -1, 4, -1]; n = ar.length; // Function Call fixArray(ar, n); // This code is contributed BY Rahul Tank </script> |
Array after Rearranging -1 1 2 3 4 -1 6 -1 -1 9
Time Complexity: O(n2)
Auxiliary Space: O(1), since no extra space has been taken.
Another Approach:
1. Navigate through the array.
2. Check if a[i] = -1, if yes then ignore it.
3. If a[i] != -1, Check if element a[i] is at its correct position (i=A[i]). If yes then ignore it.
4. If a[i] != -1 and element a[i] is not at its correct position (i!=A[i]) then place it to its correct position, but there are two conditions:
- Either A[i] is vacate, means A[i] = -1, then just put A[i] = i .
- OR A[i] is not vacate, means A[i] = x, then int y=x put A[i] = i. Now, we need to place y to its correct place, so repeat from step 3.
Below is the implementation for the above approach:
C++
// C++ program for rearrange an// array such that arr[i] = i.#include <bits/stdc++.h>using namespace std;// Function to rearrange an array// such that arr[i] = i.void fixArray(int A[], int len){ for (int i = 0; i < len; i++) { if (A[i] != -1 && A[i] != i) { int x = A[i]; // check if desired place // is not vacate while (A[x] != -1 && A[x] != x) { // store the value from // desired place int y = A[x]; // place the x to its correct // position A[x] = x; // now y will become x, now // search the place for x x = y; } // place the x to its correct // position A[x] = x; // check if while loop hasn't // set the correct value at A[i] if (A[i] != i) { // if not then put -1 at // the vacated place A[i] = -1; } } }}// Driver codeint main(){ int A[] = { -1, -1, 6, 1, 9, 3, 2, -1, 4, -1 }; int len = sizeof(A) / sizeof(A[0]); // Function Call fixArray(A, len); // Print the output for (int i = 0; i < len; i++) cout << A[i] << " ";}// This code is contributed by Smitha Dinesh Semwal |
Java
// Java program for rearrange an// array such that arr[i] = i.import java.util.*;import java.lang.*;public class GfG { // Function to rearrange an array // such that arr[i] = i. public static int[] fix(int[] A) { for (int i = 0; i < A.length; i++) { if (A[i] != -1 && A[i] != i) { int x = A[i]; // check if desired place // is not vacate while (A[x] != -1 && A[x] != x) { // store the value from // desired place int y = A[x]; // place the x to its correct // position A[x] = x; // now y will become x, now // search the place for x x = y; } // place the x to its correct // position A[x] = x; // check if while loop hasn't // set the correct value at A[i] if (A[i] != i) { // if not then put -1 at // the vacated place A[i] = -1; } } } return A; } // Driver code public static void main(String[] args) { int A[] = { -1, -1, 6, 1, 9, 3, 2, -1, 4, -1 }; System.out.println(Arrays.toString(fix(A))); }} |
C
// C program for rearrange an// array such that arr[i] = i.#include <stdio.h>// Function to rearrange an array// such that arr[i] = i.void fixArray(int A[], int len){ for (int i = 0; i < len; i++) { if (A[i] != -1 && A[i] != i) { int x = A[i]; // check if desired place // is not vacate while (A[x] != -1 && A[x] != x) { // store the value from // desired place int y = A[x]; // place the x to its correct // position A[x] = x; // now y will become x, now // search the place for x x = y; } // place the x to its correct // position A[x] = x; // check if while loop hasn't // set the correct value at A[i] if (A[i] != i) { // if not then put -1 at // the vacated place A[i] = -1; } } }}// Driver codeint main(){ int A[] = { -1, -1, 6, 1, 9, 3, 2, -1, 4, -1 }; int len = sizeof(A) / sizeof(A[0]); // Function Call fixArray(A, len); // Print the output for (int i = 0; i < len; i++) printf("%d ",A[i]);}// This code is contributed by kothavvsaakash |
Python3
# Python3 program for rearrange an# array such that arr[i] = i.# Function to rearrange an array# such that arr[i] = i.def fix(A, len): for i in range(0, len): if (A[i] != -1 and A[i] != i): x = A[i] # check if desired place # is not vacate while (A[x] != -1 and A[x] != x): # store the value from # desired place y = A[x] # place the x to its correct # position A[x] = x # now y will become x, now # search the place for x x = y # place the x to its correct # position A[x] = x # check if while loop hasn't # set the correct value at A[i] if (A[i] != i): # if not then put -1 at # the vacated place A[i] = -1# Driver codeA = [-1, -1, 6, 1, 9, 3, 2, -1, 4, -1]fix(A, len(A))for i in range(0, len(A)): print(A[i], end=' ')# This code is contributed by Saloni1297 |
C#
// C# program for rearrange// an array such that// arr[i] = i.using System;class GfG { // Function to rearrange an // array such that arr[i] = i. public static int[] fix(int[] A) { for (int i = 0; i < A.Length; i++) { if (A[i] != -1 && A[i] != i) { int x = A[i]; // check if desired // place is not vacate while (A[x] != -1 && A[x] != x) { // store the value // from desired place int y = A[x]; // place the x to its // correct position A[x] = x; // now y will become x, // now search the place // for x x = y; } // place the x to its // correct position A[x] = x; // check if while loop // hasn't set the correct // value at A[i] if (A[i] != i) { // if not then put -1 // at the vacated place A[i] = -1; } } } return A; } // Driver Code static void Main() { int[] A = new int[] { -1, -1, 6, 1, 9, 3, 2, -1, 4, -1 }; Console.WriteLine(string.Join(",", fix(A))); }}// This code is contributed by// Manish Shaw(manishshaw1) |
PHP
<?php// PHP program for rearrange an// array such that arr[i] = i.// Function to rearrange an // array such that arr[i] = i.function fix(&$A, $len){ for ($i = 0; $i < $len; $i++) { if ($A[$i] != -1 && $A[$i] != $i) { $x = $A[$i]; // check if desired // place is not vacate while ($A[$x] != -1 && $A[$x] != $x) { // store the value // from desired place $y = $A[$x]; // place the x to its // correct position $A[$x] = $x; // now y will become x, // now search the place // for x $x = $y; } // place the x to its // correct position $A[$x] = $x; // check if while loop hasn't // set the correct value at A[i] if ($A[$i] != $i) { // if not then put -1 // at the vacated place $A[$i] = -1; } } }}// Driver Code$A = array(-1, -1, 6, 1, 9, 3, 2, -1, 4, -1);$len = count($A);fix($A, $len);for ($i = 0; $i < $len; $i++) echo ($A[$i]." "); // This code is contributed by // Manish Shaw(manishshaw1)?> |
Javascript
<script>// Javascript program for rearrange an// array such that arr[i] = i.// Function to rearrange an // array such that arr[i] = i.function fix(A, len){ for (let i = 0; i < len; i++) { if (A[i] != -1 && A[i] != i) { let x = A[i]; // check if desired // place is not vacate while (A[x] != -1 && A[x] != x) { // store the value // from desired place let y = A[x]; // place the x to its // correct position A[x] = x; // now y will become x, // now search the place // for x x = y; } // place the x to its // correct position A[x] = x; // check if while loop hasn't // set the correct value at A[i] if (A[i] != i) { // if not then put -1 // at the vacated place A[i] = -1; } } }}// Driver Codelet A = new Array(-1, -1, 6, 1, 9, 3, 2, -1, 4, -1);let len = A.length;fix(A, len);for (let i = 0; i < len; i++) document.write(A[i] + " "); // This code is contributed by gfgking</script> |
-1 1 2 3 4 -1 6 -1 -1 9
Time Complexity: O(n)
Auxiliary Space: O(1)
Another Approach (Using Set) :
1) Store all the numbers present in the array into a Set
2) Iterate through the length of the array, if the corresponding position element is present in the Set, then set A[i] = i, else A[i] = -1
Below is the implementation of the above approach.
C++
#include <iostream>#include <unordered_set>using namespace std;void fixArray(int arr[], int n){ // a set unordered_set<int> s; // Enter each element which is not -1 in set for(int i=0; i<n; i++) { if(arr[i] != -1) s.insert(arr[i]); } // Navigate through array, // and put A[i] = i, // if i is present in set for(int i=0; i<n; i++) { // if i(index) is found in hmap if(s.find(i) != s.end()) { arr[i] = i; } // if i is not found else { arr[i] = -1; } } }// Driver Codeint main() { // Array initialization int arr[] {-1, -1, 6, 1, 9, 3, 2, -1, 4,-1}; int n = sizeof(arr) / sizeof(arr[0]); // Function Call fixArray(arr, n); // Print output for(int i=0; i<n; i++) cout << arr[i] << ' '; return 0;}// this code is contributed by dev chaudhary |
Java
// Java program for rearrange an // array such that arr[i] = i.import java.util.*;import java.lang.*;class GfG { // Function to rearrange an array // such that arr[i] = i. public static int[] fix(int[] A) { Set<Integer> s = new HashSet<Integer>(); // Storing all the values in the HashSet for(int i = 0; i < A.length; i++) { s.add(A[i]); } for(int i = 0; i < A.length; i++) { if(s.contains(i)) A[i] = i; else A[i] = -1; } return A;} // Driver code public static void main(String[] args) { int A[] = {-1, -1, 6, 1, 9, 3, 2, -1, 4,-1}; // Function calling System.out.println(Arrays.toString(fix(A))); }} |
Python3
# Python3 program for rearrange an # array such that arr[i] = i.# Function to rearrange an array# such that arr[i] = i.def fix(A): s = set() # Storing all the values in the Set for i in range(len(A)): s.add(A[i]) for i in range(len(A)): # check for item if present in set if i in s: A[i] = i else: A[i] = -1 return A # Driver codeif __name__ == "__main__": A = [-1, -1, 6, 1, 9, 3, 2, -1, 4,-1] print(fix(A))# This code is contributed by Chitranayal |
C#
using System;using System.Collections.Generic;public class main{ static void fix(int[] a,int n){ HashSet<int> hs=new HashSet<int>(); // Traverse the array // and add each element // to the HashSet for(int i=0;i<n;i++) hs.Add(a[i]); // Again traverse from i=0 -> i=n-1 for(int i=0;i<n;i++) { // If HashSet contains i // Then make a[i]=i, // else a[i]=-1 if(hs.Contains(i)) a[i]=i; else a[i]=-1; } } static public void Main (){ int[] arr={-1, -1, 6, 1, 9, 3, 2, -1, 4,-1}; int n=arr.Length; fix(arr,n); for(int i=0;i<n;i++) Console.Write(arr[i]+" "); Console.WriteLine(); }} |
Javascript
<script> // JavaScript program for rearrange an // array such that arr[i] = i. // Function to rearrange an array // such that arr[i] = i. function fix(A) { let s = new Set(); // Storing all the values in the HashSet for(let i = 0; i < A.length; i++) { s.add(A[i]); } for(let i = 0; i < A.length; i++) { if(s.has(i)) A[i] = i; else A[i] = -1; } return A; } let A = [-1, -1, 6, 1, 9, 3, 2, -1, 4,-1]; // Function calling let ans = fix(A); for(let i = 0; i < ans.length; i++) { document.write(ans[i] + " "); }</script> |
-1 1 2 3 4 -1 6 -1 -1 9
Time Complexity: O(n2)
Auxiliary Space: O(n)
Another Approach (Swap elements in Array) : Using cyclic sort
1) Iterate through elements in an array
2) If arr[i] >= 0 && arr[i] != i, put arr[i] at i ( swap arr[i] with arr[arr[i]])
Below is the implementation of the above approach.
C++
// C++ program for rearrange an// array such that arr[i] = i.#include <iostream>using namespace std;void fixArray(int arr[], int n){ int i = 0; while (i < n) { int correct = arr[i]; if (arr[i] != -1 && arr[i] != arr[correct]) { // if array element should be lesser than // size and array element should not be at // its correct position then only swap with // its correct position or index value swap(arr[i], arr[correct]); } else { // if element is at its correct position // just increment i and check for remaining // array elements i++; } } return arr;}// Driver Codeint main(){ int arr[] = { -1, -1, 6, 1, 9, 3, 2, -1, 4, -1 }; int n = sizeof(arr) / sizeof(arr[0]); // Function Call fixArray(arr, n); // Print output for (int i = 0; i < n; i++) cout << arr[i] << " "; return 0;}// This Code is Contributed by kothavvsaakash |
C
// C program for rearrange an// array such that arr[i] = i.#include <stdio.h>void fixArray(int arr[], int n){ for (int i = 0; i < n;) { if (arr[i] >= 0 && arr[i] != i) arr[arr[i]] = (arr[arr[i]] + arr[i]) - (arr[i] = arr[arr[i]]); else i++; }}// Driver Codeint main(){ int arr[] = { -1, -1, 6, 1, 9, 3, 2, -1, 4, -1 }; int n = sizeof(arr) / sizeof(arr[0]); // Function Call fixArray(arr, n); // Print output for (int i = 0; i < n; i++) printf("%d ", arr[i]); return 0;}// This Code is Contributed by Adarsh_Verma |
Java
// Java program for rearrange an// array such that arr[i] = i.import java.util.Arrays;class Program { public static void main(String[] args) { int[] arr = { -1, -1, 6, 1, 9, 3, 2, -1, 4, -1 }; for (int i = 0; i < arr.length;) { if (arr[i] >= 0 && arr[i] != i) { int ele = arr[arr[i]]; arr[arr[i]] = arr[i]; arr[i] = ele; } else { i++; } } System.out.println(Arrays.toString(arr)); }}/* This Java code is contributed by PrinciRaj1992*/ |
Python3
# Python3 program for rearrange an# array such that arr[i] = i.if __name__ == "__main__": arr = [-1, -1, 6, 1, 9, 3, 2, -1, 4, -1] n = len(arr) i = 0 while i < n: if (arr[i] >= 0 and arr[i] != i): (arr[arr[i]], arr[i]) = (arr[i], arr[arr[i]]) else: i += 1 for i in range(n): print(arr[i], end=" ")# This code is contributed by Chitranayal |
C#
// C# program for rearrange an// array such that arr[i] = i.using System;namespace GFG {class Program { static void Main(string[] args) { int[] arr = { -1, -1, 6, 1, 9, 3, 2, -1, 4, -1 }; for (int i = 0; i < arr.Length;) { if (arr[i] >= 0 && arr[i] != i) { int ele = arr[arr[i]]; arr[arr[i]] = arr[i]; arr[i] = ele; } else { i++; } } Console.WriteLine(String.Join(",", arr)); }}}// This code is contributed by// Venkata VardhiReddy(venkata) |
Javascript
<script>// Javascript program for rearrange an// array such that arr[i] = i.function fixArray(arr, n){ for (let i = 0; i < n;) { if (arr[i] >= 0 && arr[i] != i) arr[arr[i]] = (arr[arr[i]] + arr[i]) - (arr[i] = arr[arr[i]]); else i++; }}// Driver Code let arr = [ -1, -1, 6, 1, 9, 3, 2, -1, 4, -1 ]; let n = arr.length; // Function Call fixArray(arr, n); // Print output for (let i = 0; i < n; i++) document.write(arr[i] + " "); // This Code is Contributed by _saurabh_jaiswal</script> |
-1 1 2 3 4 -1 6 -1 -1 9
Time Complexity: O(n)
Auxiliary Space: O(1)
Another Approach (Using Vector) :
Follow these steps to rearrange an array
- Make a vector of size n and fill its every element by -1.
- Now traverse the input array and if any element is not equal to -1 then
- Fill that index of the vector which is equal to the element of the input array by that element’s value
- In last copy all elements of the vector into the input array and then return or print that input array
Code-
C++
// C++ program for rearrange an// array such that arr[i] = i.#include <bits/stdc++.h>using namespace std;int* fixArray(int arr[], int n){ vector<int> vec(n, -1); for (int i = 0; i < n; i++) { if (arr[i] != -1) { vec[arr[i]] = arr[i]; } } for (int i = 0; i < n; i++) { arr[i] = vec[i]; } return arr;}// Driver Codeint main(){ int arr[] = { -1, -1, 6, 1, 9, 3, 2, -1, 4, -1 }; int n = sizeof(arr) / sizeof(arr[0]); // Function Call fixArray(arr, n); // Print output for (int i = 0; i < n; i++) cout << arr[i] << " "; return 0;} |
Java
import java.util.*;public class Main { static int[] fixArray(int arr[], int n) { ArrayList<Integer> vec = new ArrayList<>(Collections.nCopies(n, -1)); for (int i = 0; i < n; i++) { if (arr[i] != -1) { vec.set(arr[i], arr[i]); } } for (int i = 0; i < n; i++) { arr[i] = vec.get(i); } return arr; } // Driver Code public static void main(String[] args) { int arr[] = { -1, -1, 6, 1, 9, 3, 2, -1, 4, -1 }; int n = arr.length; // Function Call fixArray(arr, n); // Print output for (int i = 0; i < n; i++) System.out.print(arr[i] + " "); }} |
Python3
# Python program for rearranging# an array such that arr[i] = i. def fixArray(arr, n): vec = [-1]*n # Traverse the array for i in range(0, n): # If arr[i] is not -1 then arr[i] # is at its correct position. if (arr[i] != -1): vec[arr[i]] = arr[i] # Copy vec[] to arr[] for i in range(0, n): arr[i] = vec[i] return arr # Driver codearr = [-1, -1, 6, 1, 9, 3, 2, -1, 4, -1]n = len(arr) # Function callfixArray(arr, n) # Print outputfor i in range(0, n): print(arr[i], end=" ") |
C#
// C# code addition using System;class GFG{ // Function to rearrange an // array such that arr[i] = i. static int[] FixArray(int[] arr, int n) { var vec = new int[n]; for (int i = 0; i < n; i++) { vec[i] = -1; } for (int i = 0; i < n; i++) { if (arr[i] != -1) { vec[arr[i]] = arr[i]; } } for (int i = 0; i < n; i++) { arr[i] = vec[i]; } return arr; } // Driver Code public static void Main(string[] args) { int[] arr = { -1, -1, 6, 1, 9, 3, 2, -1, 4, -1 }; int n = arr.Length; // Function Call FixArray(arr, n); // Print output for (int i = 0; i < n; i++) Console.Write(arr[i] + " "); }}// The code is contributed by Arushi Goel. |
Javascript
// JavaScript program for rearrange an// array such that arr[i] = i.function fixArray(arr) { let n = arr.length; let vec = new Array(n).fill(-1); for (let i = 0; i < n; i++) { if (arr[i] !== -1) { vec[arr[i]] = arr[i]; } } for (let i = 0; i < n; i++) { arr[i] = vec[i]; } return arr;}// Driver Codelet arr = [-1, -1, 6, 1, 9, 3, 2, -1, 4, -1];// Function CallfixArray(arr);// Print outputconsole.log(arr.join(" ")); |
Output-
-1 1 2 3 4 -1 6 -1 -1 9
Time Complexity: O(n)
Auxiliary Space: O(n),for vector
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