ADVANCED DATA STRUCTURES PROGRAM • LEVEL 8 — PERFORMANCE ANALYSIS

Simulate Dynamic Array Amortized Cost

Learn how to simulate dynamic array amortized cost using a clear C program.

AdvancedOperation countingAsymptotic analysis

PROBLEM UNDERSTANDING

Input and expected output

Sample input

No input required

Sample output

Writes = 16 Copies = 15 Total = 31

COMPLETE C PROGRAM

Complete C implementation

#include <stdio.h>

int main(void)
{
    int capacity = 1, size = 0, copies = 0;
    for (int value = 0; value < 16; value++) {
        if (size == capacity) { copies += size; capacity *= 2; }
        size++;
    }
    printf("Writes = %d Copies = %d Total = %d\n", size, copies, size + copies);
    return 0;
}

CURRENT STEP

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EXPECTED OUTPUT FOR THE SAMPLE

Writes = 16 Copies = 15 Total = 31

0%Step 0 of 0

PROGRAM EXPLANATION

Algorithm and explanation

Read the required input values.
Double capacity when full and count both ordinary writes and resize copies.
Display the computed result.

Double capacity when full and count both ordinary writes and resize copies.

EFFICIENCY

Time and space complexity

Time complexity

Amortized O(1) insertion

Auxiliary space

O(1)

DEBUGGING CHECKLIST

Common mistakes

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Use the correct format specifier for every variable.

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Initialize variables before using their values.

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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.