C programming remains a cornerstone of computer science curricula, yet its low-level memory control, pointer arithmetic, and performance-oriented design often challenge even advanced learners. At ProgrammingHomeworkHelp.com, our mission is to bridge the gap between theory and rigorous academic expectations by providing precise, reliable guidance and expertly solved samples. When students search for dependable c assignment help online, they are usually looking for clarity, correctness, and solutions that reflect graduate-level understanding rather than superficial code snippets.
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Master-Level Assignment Question 1:
Design a C program that implements a memory-efficient stack using a dynamically allocated array. The stack should support push, pop, peek, and automatic resizing when capacity is exceeded. Analyze the time complexity of each operation.
Solution:
A dynamic stack can be implemented by maintaining an integer array, a top index, and a capacity variable. When the stack is full and a push operation is requested, the capacity is doubled using realloc(). This ensures amortized constant time for push operations.
Key logic includes:
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push(x): Iftop == capacity - 1, reallocate with double size, then insertx. -
pop(): Decrementtopand return the element, ensuring underflow checks. -
peek(): Return the element attopwithout modification.
Time complexity:
Push – O(1) amortized, O(n) during resizing
Pop – O(1)
Peek – O(1)
This design demonstrates how dynamic memory management in C can be leveraged for scalable data structures, a concept frequently emphasized in advanced systems programming courses.
Master-Level Assignment Question 2:
Write a C program to implement Dijkstra’s algorithm using an adjacency matrix for a weighted graph and compute the shortest path from a given source vertex.
Solution:
The solution initializes distance arrays, a visited set, and iteratively selects the minimum-distance unvisited vertex. For each selected vertex, it relaxes adjacent edges by updating tentative distances. Using an adjacency matrix of size V × V, the algorithm runs in O(V²) time.
Core steps:
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Initialize all distances to infinity except the source (0).
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Repeatedly pick the unvisited vertex with the smallest distance.
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Update distances of neighboring vertices if a shorter path is found.
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Continue until all vertices are visited.
This assignment tests understanding of graph theory, algorithmic optimization, and array-based data representation in C, making it ideal for postgraduate-level evaluation.
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