CodeBhavya

ADVANCED DATA STRUCTURES PROGRAM • LEVEL 18 — ADVANCED HASHING

Map Keys with a Universal Hash Function

Learn how to map keys with a universal hash function using a clear C program.

AdvancedCollision resolutionHash-table design

PROBLEM UNDERSTANDING

Input and expected output

Sample input
No input required
Sample output
10->2 20->1 30->0 40->1

COMPLETE C PROGRAM

Complete C implementation

ads-universal-hashing.c
Open in compiler
#include <stdio.h>

int main(void)
{
    int keys[]={10,20,30,40};int prime=101,a=37,b=23,size=11;for(int i=0;i<4;i++)printf("%d->%d%c",keys[i],((a*keys[i]+b)%prime)%size,i==3?'\n':' ');return 0;
}

GUIDED CODE TOUR • NOT LIVE EXECUTION

Study the program line by line

Use the real compiler button above to run and debug with different inputs.

CURRENT STEP

Select Start to walk through the important lines.

SELECTED LINE

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EXPECTED OUTPUT FOR THE SAMPLE

10->2 20->1 30->0 40->1
0%Step 0 of 0

PROGRAM EXPLANATION

Algorithm and explanation

  1. Read the required input values.
  2. Choose coefficients from a universal family before reducing the result to the table size.
  3. Display the computed result.

Choose coefficients from a universal family before reducing the result to the table size.

EFFICIENCY

Time and space complexity

Time complexity

O(1) per key

Auxiliary space

O(1)

DEBUGGING CHECKLIST

Common mistakes

Check this

Use the correct format specifier for every variable.

Check this

Initialize variables before using their values.

Check this

Check braces, semicolons and input order carefully.

Try it yourself

Practice: Run the program with the sample input, predict its output, and then test one boundary case of your own.