Recent activity by Nikhil555555 / GATE Overflow for GATE CSE

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GATE CSE 2022 | GA Question: 8
A box contains five balls of same size and shape. Three of them are green coloured balls and two of them are orange coloured balls. Balls are drawn from the box one at a time. If a green ball is drawn, it is not replaced. If an orange ball is drawn, it is replaced with ... an orange ball in the next draw? $\frac{1}{2}$ $\frac{8}{25}$ $\frac{19}{50}$ $\frac{23}{50}$

A box contains five balls of same size and shape. Three of them are green coloured balls and two of them are orange coloured balls. Balls are drawn from the box one at a ...

9.8k views

commented Mar 4, 2022

6 answers

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GATE CSE 2022 | Question: 41
Consider the following recurrence: $\begin{array}{} f(1) & = & 1; \\ f(2n) & = & 2f(n) - 1, & \; \text{for}\; n \geq 1; \\ f(2n+1) & = & 2f(n) + 1, & \; \text{for}\; n \geq 1. \end{array}$ Then, which of the following statements is/are $\text{TRUE}?$ ... $f(2^{n}) = 1$ $f(5 \cdot 2^{n}) = 2^{n+1} + 1$ $f(2^{n} + 1) = 2^{n} + 1$

Consider the following recurrence:$$\begin{array}{} f(1) & = & 1; \\ f(2n) & = & 2f(n) – 1, & \; \text{for}\; n \geq 1; \\ f(2n+1) & = & 2f(n) + 1, & \; \text...

7.8k views

commented Feb 16, 2022

8 answers

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GATE CSE 2007 | Question: 44
In the following C function, let $n \geq m$. int gcd(n,m) { if (n%m == 0) return m; n = n%m; return gcd(m,n); } How many recursive calls are made by this function? $\Theta(\log_2n)$ $\Omega(n)$ $\Theta(\log_2\log_2n)$ $\Theta(\sqrt{n})$

In the following C function, let $n \geq m$.int gcd(n,m) { if (n%m == 0) return m; n = n%m; return gcd(m,n); }How many recursive calls are made by this function?$\Theta(\...

26.6k views

commented Aug 8, 2020

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