C++ Code To Find An Index Where This Is A Hash Collision

In this article, we will discuss how to find an index where this is a hash collision in C++ with several examples.

Problem Statement:

Assume we have a number a and an array P, which has n elements in it. There is a hash table with 'a' buckets present in it, number the buckets from 0 to ( a-1 ). We aim to add ( n ) numbers from the array ( P ). We assume that the hash function ( h(P[i]) ), where ( P(k) = k mod a ), will determine the bucket for ( P[i] ). Each bucket can only contain one element.

A "collision " occurs when we try to insert a new number into a bucket that is already full. The index at which the collision occurred must be returned some value. It will return -1 in case there isn't a collision.

Algorithm 1:

Example

1. Import vectors, unordered sets, and IO libraries as needed.
2. Function findCollisionIndex (a, P):
            a. Create a blank set called buckets.
            b. For every item in the array P[k]:
                        i. Use the modulo operation to calculate the bucket for P[k]: bucket = P[k] % a.
                        ii. Return I as the collision index if the bucket is located within the set buckets.
                        iii. If not, place the bucket into the designated buckets.
c. Return -1 if, after processing every element, no collision is discovered.
3. Main function:
a. Declare the variables a and n; 
b. Read the input for a and n; 
c. Make an array P that is empty and has size n;
d. Read the input for the P elements. 
e. Make use of findCollisionIndex(a, P) and assign collisionIndex to the outcome.
f. If the collisionIndex is not equal to -1:
                       print- "Collision is found at index no: " + collisionIndex.
             g.otherwise,
 	           print- "No collision found".
4. End of Algorithm

Example 1:

Let us take a C++ program to find an index where this is a hash collision:

Example

#include<iostream>
#include<vector>
#include<unordered_set>
int findColl (int a, const std::vector<int>& P) {
    std::unordered_set<int> buckets; 
     for (int i = 0; i < P.size(); ++i)
      {
           int bucket = P[i] % a; 
           if (buckets.find(bucket) != buckets.end())
           {
            return i;
        }
        buckets.insert(bucket);
    }
    return -1; // No collision
}
int main() {
    int a;
    std::cout << "Enter the number of buckets (a): ";
    std::cin >> a;
    int n;
    std::cout << "Enter the number of elements in the array (n): ";
    std::cin >> n;
    // Input the elements of the array (P)
    std::vector<int> P(n); 
    std::cout << "Enter the elements of the array:" << std::endl; 
    for (int i = 0; i < n; ++i) {
        std::cin >> P[i];
    }
    int collisionIndex = findColl(a, P);
    if (collisionIndex != -1) {
        std::cout << "Collision found at index: " << collisionIndex << std::endl;
    } else {
        std::cout << "No collision found." << std::endl;
    }
    return 0;
}

Output:

Algorithm 2:

Example

a:= size of P 
Create an array called Arr with the size n, then fill it with ?0? 
initialize: i = 0; when i < n, update (increase I value by 1), do: 
z = P[i] 
If Arr[z mod n] is not equal to zero,
then 
                return i
            increase  Arr[z mod n] by 1
return i

Example 2:

Let us take another C++ program to find an index where this is a hash collision:

Example

#include<iostream>
#include<vector>
#include<unordered_set>
int findCollisionIndex(int n, const std::vector<int>& P) 
{
       std::vector<int> arr(n, 0); 
       for (int i = 0; i < P.size(); ++i) 
       {
        int z = P[i];
        int bucket = z % n;
        if (arr[bucket] != 0) {
            return i;
        }
        arr[bucket]++;
    }
    return -1;
}
int main() {
    int n, x;   
    // Input the number of buckets (n)
    std::cout << "Enter the number of buckets (n): ";
    std::cin >> n;
    // Input the number of elements in the array (x) 
    std::cout << "Enter the number of elements in the array (x): ";
    std::cin >> x;
    // Input the elements of the array (P)
    std::vector<int> P(n); 
    std::cout << "Enter the elements of the array:" << std::endl; 
    for (int i = 0; i < x; ++i) {
        std::cin >> P[i];
    }
    // Find the collision index and print the result
    int collisionIndex = findCollisionIndex(n, P);
    if (collisionIndex != -1) {
        std::cout << "Collision found at index: " << collisionIndex << std::endl;
    } else {
        std::cout << "No collision found." << std::endl;
    }
    return 0;
}

Output:

Conclusion:

In conclusion, we can conclude that we can avoid data loss or confusion by using the above techniques to find collisions. Hash tables can manage data reliably and efficiently with the help of efficient collision detection which makes them dependable resources for handling data across in larger applications.

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