Computational mathematician and research scientist with specialization in algorithm development, AI and machine learning, signal and systems, modeling and simulation, physics engine development, operation research, advanced modern control and MATLAB programming.

Solved

Pass the Threshold!!

Write a Matlab function that will take as input a matrix of arbitrary dimensions and a scalar threshold value, and return a vec...

2 years ago

Solved

The Google Interview: Two Eggs Problem

Consider the following problem, a popular Google interview question: A firm has invented a super-strong egg. For publicity pu...

2 years ago

Solved

Toads and Frogs Puzzle 2

On a two-dimensional board with 2n + 1 rows and 2n + 1 columns, all (2n + 1)^2 positions of the board, except the central one, a...

2 years ago

Problem

Nash Equilibrium

In game theory, a player's *strategy* is any of the options that can be chosen in a setting where the pay-off depends not only o...

2 years ago | 3

Solved

Reverse the input

Given an input (n), produce an output in the reverse order with out using string variables or string function. Example x ...

2 years ago

Solved

Sum of first n terms of a harmonic progression

Given inputs a, d and n, return the sum of the first n terms of the harmonic progression a, a/(1+d), a/(1+2d), a/(1+3d),....

2 years ago

Problem

Let's Make A Deal: Criminal Minds

The game of Let's Make A Deal proceeds as follows; The player is given the choice of three doors: Behind one door is a car; b...

2 years ago | 1

Solved

Find argmax of a function

You are given vectors x and y (=f(x)). Return the element of x for which f(x) is maximized.

2 years ago

Problem

Let's Make A Deal: The Player's Dilemma 2

Suppose you're on a game show, and you're given the choice of three doors: Behind one door is a car; behind the others, goats. Y...

2 years ago | 1

Problem

Let's Make A Deal: The Player's Dilemma

Suppose you're on a game show, and you're given the choice of three doors: Behind one door is a car; behind the others, goats. Y...

2 years ago | 0

Solved

Seperate array to small section according to its index position

Given a integer n, we can generate a sequence [0,1,2,3,4,..., 2^n-1], then we separate it to two sequence according to their ind...

2 years ago

Solved

Penny Distribution Machine

A machine consists of a row of boxes. To start, one places N pennies in the leftmost box. The machine then redistributes the pen...

2 years ago

Solved

God of War: The Chains Of Olympus

The Spartan warrior, Kratos, is held by a chain of _n > 1_ links in the underworld. His only chance of survival is to break the ...

2 years ago

Solved

Counting Squares

An algorithm starts with a single square and on each of its next iterations adds new squares all around the outside as shown bel...

2 years ago

Problem

God of War: The Chains Of Olympus

The Spartan warrior, Kratos, is held by a chain of _n > 1_ links in the underworld. His only chance of survival is to break the ...

2 years ago | 0

Problem

Penny Distribution Machine

A machine consists of a row of boxes. To start, one places N pennies in the leftmost box. The machine then redistributes the pen...

2 years ago | 0

Solved

Five Fingers

A little girl has just learnt how to count from 1 to N using the five fingers of her left hand as follows. She starts by calling...

2 years ago

Problem

Five Fingers

A little girl has just learnt how to count from 1 to N using the five fingers of her left hand as follows. She starts by calling...

2 years ago | 1

Problem

Counting Squares

An algorithm starts with a single square and on each of its next iterations adds new squares all around the outside as shown bel...

2 years ago | 1

Solved

007: Chinese Barrack Invasion

*MISSION:* Successfully invade a military barrack located in China. *WARNING:* There is a row of _n_ security switches protec...

2 years ago

Problem

007: Chinese Barrack Invasion

*MISSION:* Successfully invade a military barrack located in China. *WARNING:* There is a row of _n_ security switches protec...

2 years ago | 1

Problem

The Generalized-N Eggs Problem

A firm has invented a super-strong egg. For publicity purposes, it wants to determine the highest floor in a story building with...

2 years ago | 1

Problem

The Google Interview: Two Eggs Problem

Consider the following problem, a popular Google interview question: A firm has invented a super-strong egg. For publicity pu...

2 years ago | 1

Solved

Sort Reversal

There are n index cards in a row, with n distinct integers written on them (one number per card) so that the numbers are sorted ...

2 years ago

Problem

Sort Reversal

There are n index cards in a row, with n distinct integers written on them (one number per card) so that the numbers are sorted ...

2 years ago | 0

Problem

Toads and Frogs Puzzle 2

On a two-dimensional board with 2n + 1 rows and 2n + 1 columns, all (2n + 1)^2 positions of the board, except the central one, a...

2 years ago | 1

Solved

Toads and Frogs Puzzle

On a one-dimensional board with n + m + 1 cells, there are n counters in the first n cells representing Toads and m counters in ...

2 years ago

Problem

Toads and Frogs Puzzle

On a one-dimensional board with n + m + 1 cells, there are n counters in the first n cells representing Toads and m counters in ...

2 years ago | 0

Solved

Raise each element to the power of its index in a matrix

In a matrix, A = [1,2;3,4] raise the power of each element like: 1^1+2^3+3^2+4^4 and add it all to produce the result 274

2 years ago