# Check if two Linked Lists are permutations of each other

Given two singly Linked list of integer data. The task is to write a program that efficiently checks if two linked lists are permutations of each other.

**Examples**:

Input: 1 -> 2 -> 3 -> 4 -> 5 2 -> 1 -> 3 -> 5 -> 4 Output: Yes Input: 10 -> 20 -> 30 -> 40 20 -> 50 -> 60 -> 70 Output: No

**Approach:** Do the following for both linked lists:

- Take a temporary node pointing to the head of the linked list.
- Start traversing through the linked list, and keep sum and multiplications of data of nodes.

**Note :** After having sum and multiplication of both linked list, check if *sum* and *multiplication* of both linked lists are equal. If they are equal, it means linked lists are permutations of each other, else not.

Below is the implementation of the above approach:

`// C++ program to check if linked lists ` `// are permutations of each other ` `#include <bits/stdc++.h> ` ` ` `using` `namespace` `std; ` ` ` `// A linked list node ` `struct` `Node { ` ` ` `int` `data; ` ` ` `struct` `Node* next; ` `}; ` ` ` `/*Function to check if two linked lists ` `* are permutations of each other ` `* first : reference to head of first linked list ` `* second : reference to head of second linked list ` `*/` `bool` `isPermutation(` `struct` `Node* first, ` `struct` `Node* second) ` `{ ` ` ` ` ` `// Variables to keep track of sum and multiplication ` ` ` `int` `sum1 = 0, sum2 = 0, mul1 = 1, mul2 = 1; ` ` ` ` ` `struct` `Node* temp1 = first; ` ` ` ` ` `// Traversing through linked list ` ` ` `// and calculating sum and multiply ` ` ` `while` `(temp1 != NULL) { ` ` ` `sum1 += temp1->data; ` ` ` `mul1 *= temp1->data; ` ` ` `temp1 = temp1->next; ` ` ` `} ` ` ` ` ` `struct` `Node* temp2 = second; ` ` ` ` ` `// Traversing through linked list ` ` ` `// and calculating sum and multiply ` ` ` `while` `(temp2 != NULL) { ` ` ` `sum2 += temp2->data; ` ` ` `mul2 *= temp2->data; ` ` ` `temp2 = temp2->next; ` ` ` `} ` ` ` ` ` `return` `((sum1 == sum2) && (mul1 == mul2)); ` `} ` ` ` `// Function to add a node at the ` `// begining of Linked List ` `void` `push(` `struct` `Node** head_ref, ` `int` `new_data) ` `{ ` ` ` `/* allocate node */` ` ` `struct` `Node* new_node = (` `struct` `Node*)` `malloc` `(` `sizeof` `(` `struct` `Node)); ` ` ` ` ` `/* put in the data */` ` ` `new_node->data = new_data; ` ` ` ` ` `/* link the old list off the new node */` ` ` `new_node->next = (*head_ref); ` ` ` ` ` `/* move the head to point to the new node */` ` ` `(*head_ref) = new_node; ` `} ` ` ` `// Driver program to test above function ` `int` `main() ` `{ ` ` ` `struct` `Node* first = NULL; ` ` ` ` ` `/* First constructed linked list is: ` ` ` `12 -> 35 -> 1 -> 10 -> 34 -> 1 */` ` ` `push(&first, 1); ` ` ` `push(&first, 34); ` ` ` `push(&first, 10); ` ` ` `push(&first, 1); ` ` ` `push(&first, 35); ` ` ` `push(&first, 12); ` ` ` ` ` `struct` `Node* second = NULL; ` ` ` `/* Second constructed linked list is: ` ` ` `35 -> 1 -> 12 -> 1 -> 10 -> 34 */` ` ` `push(&second, 35); ` ` ` `push(&second, 1); ` ` ` `push(&second, 12); ` ` ` `push(&second, 1); ` ` ` `push(&second, 10); ` ` ` `push(&second, 34); ` ` ` ` ` `if` `(isPermutation(first, second)) { ` ` ` `cout << ` `"Yes"` `<< endl; ` ` ` `} ` ` ` `else` `{ ` ` ` `cout << ` `"No"` `<< endl; ` ` ` `} ` ` ` ` ` `return` `0; ` `} ` |

*chevron_right*

*filter_none*

**Output:**

Yes

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