A Collection of Dynamic Programming Interview Questions by Dr Antonio Gulli

By Dr Antonio Gulli

This booklet offers a suite of Dynamic programming difficulties, their answer, and the C++ code concerning them.

Show description

Read Online or Download A Collection of Dynamic Programming Interview Questions Solved in C++ (Volume 1) PDF

Best algorithms books

Methods in Algorithmic Analysis

Explores the impression of the research of Algorithms on Many components inside of and past machine Science
A versatile, interactive instructing structure better through a wide collection of examples and exercises

Developed from the author’s personal graduate-level direction, equipment in Algorithmic research provides a number of theories, strategies, and techniques used for studying algorithms. It exposes scholars to mathematical concepts and strategies which are functional and proper to theoretical features of computing device science.

After introducing uncomplicated mathematical and combinatorial tools, the textual content specializes in quite a few elements of chance, together with finite units, random variables, distributions, Bayes’ theorem, and Chebyshev inequality. It explores the position of recurrences in desktop technological know-how, numerical research, engineering, and discrete arithmetic purposes. the writer then describes the robust device of producing capabilities, that's validated in enumeration difficulties, equivalent to probabilistic algorithms, compositions and walls of integers, and shuffling. He additionally discusses the symbolic approach, the main of inclusion and exclusion, and its functions. The ebook is going directly to exhibit how strings could be manipulated and counted, how the finite nation computing device and Markov chains can assist resolve probabilistic and combinatorial difficulties, tips on how to derive asymptotic effects, and the way convergence and singularities play top roles in deducing asymptotic details from producing features. the ultimate bankruptcy provides the definitions and houses of the mathematical infrastructure had to accommodate producing functions.

Accompanied by means of greater than 1,000 examples and routines, this accomplished, classroom-tested textual content develops students’ figuring out of the mathematical technique in the back of the research of algorithms. It emphasizes the real relation among non-stop (classical) arithmetic and discrete arithmetic, that is the root of desktop technological know-how.

The Art of Computer Programming, Volume 1, Fascicle 1: MMIX -- A RISC Computer for the New Millennium

Ultimately, after a wait of greater than thirty-five years, the 1st a part of quantity four is finally prepared for ebook. try out the boxed set that brings jointly Volumes 1 - 4A in a single dependent case, and provides the shopper a $50 off the cost of procuring the 4 volumes separately.   The artwork of desktop Programming, Volumes 1-4A Boxed Set, 3/e  ISBN: 0321751043    artwork of computing device Programming, quantity 1, Fascicle 1, The: MMIX -- A RISC desktop for the recent Millennium   This multivolume paintings at the research of algorithms has lengthy been famous because the definitive description of classical machine technological know-how.

Knowledge Acquisition: Approaches, Algorithms and Applications: Pacific Rim Knowledge Acquisition Workshop, PKAW 2008, Hanoi, Vietnam, December 15-16, 2008, Revised Selected Papers

This ebook constitutes the completely refereed post-workshop court cases of the 2008 Pacific Rim wisdom Acquisition Workshop, PKAW 2008, held in Hanoi, Vietnam, in December 2008 as a part of tenth Pacific Rim overseas convention on man made Intelligence, PRICAI 2008. The 20 revised papers offered have been rigorously reviewed and chosen from fifty seven submissions and went via rounds of reviewing and development.

Additional resources for A Collection of Dynamic Programming Interview Questions Solved in C++ (Volume 1)

Sample text

A jump cannot exceed the length contained in the current position. 11. Dice -– Given n dice, count how many ways to get sum s. 12. Coin Change – Given dollars, how many different ways there are to make the change into a set of coins? 13. Longest Palindrome String – Given a string, compute the longest palindromic substring 14. String Palindromes -– Given a string, find the minimum number of characters to be inserted for converting the string into a palindrome 15. LCS -– Given two strings S1 and S2, find the longest common substring 16.

We use a support table where we store the current sum and the current dice. The base case is with only one die and in this case there is only one way to get the sum therefore for. Then, for each possible sum value and for each possible dice and for each possible valid value produced by a die we update according to the above definition. Code unsigned long playDices(unsigned int n, unsigned int m, unsigned int s) { if ((n == 0) || (m < 2) || (s == 0) || (n*m < s) ) return 0; Matrix mem(s + 1, n + 1, 0); for (unsigned i = 1; i <= m && i <= s; ++i) mem(i, 1) = 1; for (unsigned i = 1; i <= s; ++i) for (unsigned j = 2; j <= n; ++j) for (unsigned k = 1; k <= m && k < i; ++k) mem(i, j) += mem(i - k, j - 1); return mem(s, n); } Complexity Complexity is 12.

The values will increase again anytime that there is a need to change line. Code void neatPrint(std::vector & M, const std::vector & length, unsigned int max, int n) { int penalty; for (int i = 0; i < n; i++) { penalty = max - length[i]; M[i] = std::min(M[i], (i - 1 < 0 ? 0 : M[i - 1]) + (1 << penalty)); for (int j = i - 1; j >= 0; j--) { penalty -= (length[j] + 1); if (penalty < 0) break; // generate next line M[i] = std::min(M[i], ((j - 1 < 0) ? size(); std::vector M(n, std::numeric_limits::max()); neatPrint(M, length, max, n); for (int i = 0; i < n; ++i) std::cout << M[i] << ' '; std::cout << std::endl; } Complexity Note that can be computed in linear time of the input size, while can be computed in time.

Download PDF sample

Rated 4.06 of 5 – based on 37 votes