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Questions about the science and art of determining properties of algorithms, often including correctness, runtime and space usage. Use the [runtime-analysis] tag for questions about the runtime of algorithms.

3 votes
2 answers
3k views

Recurrence relations when function call is made inside loop

int fun (int n) { int x=1, k; if (n==1) return x; for (k=1; k<n; ++k) x = x + fun(k) * fun(n – k); return x; } What is the value of fun(5)? I find it difficult to realize a recurre …
Siddharth Thevaril's user avatar
2 votes
1 answer
1k views

How to write recurrence relation for the following scenario?

A program takes as input a balanced binary search tree with n leaf nodes and computes the value of a function $g(x)$ for each node x. If the cost of computing $g(x)$ is min{no. of leaf-nodes in lef …
Siddharth Thevaril's user avatar
1 vote
1 answer
280 views

How to compute time complexity of a program if the time complexity of a function called insi... [duplicate]

This is the question- Let $A[1,....,n]$ ba an array storing a bit $(1\,\,or\,\,0)$ at each location, and $f(m)$ is a function whose time complexity is $\theta(m)$. Consider the following program - …
Siddharth Thevaril's user avatar