Your browser (Unknown 0) is no longer supported. Some parts of the website may not work correctly. Please update your browser.

UPCOMING CHALLENGES:

CURRENT CHALLENGES:

Pi Code Challenge

PAST CHALLENGES

Year of the Rabbit

Carol of the Code

Game of Codes

National Coding Week 2022

Jurassic Code

Fury Road

Bug Wars: The Last Hope

Muad'Dib's

Year of the Tiger

Pair a Coder

Code Alone

Gamer's

Spooktober

National Coding Week

The Coder of Rivia

Fast & Curious

The Fellowship of the Code

May the 4th

The Great Code Off 2021

The Doge 2021

The Matrix 2021

The OLX Group challenge

Silver 2020

Palladium 2020

Rhodium 2019

Ruthenium 2019

Technetium 2019

Molybdenum 2019

Niobium 2019

Zirconium 2019

Yttrium 2019

Strontium 2019

Rubidium 2018

Arsenicum 2018

Krypton 2018

Bromum 2018

Future Mobility

Grand Challenge

Digital Gold

Selenium 2018

Germanium 2018

Gallium 2018

Zinc 2018

Cuprum 2018

Cutting Complexity

Nickel 2018

Cobaltum 2018

Ferrum 2018

Manganum 2017

Chromium 2017

Vanadium 2016

Titanium 2016

Scandium 2016

Calcium 2015

Kalium 2015

Argon 2015

Chlorum 2014

Sulphur 2014

Phosphorus 2014

Silicium 2014

Aluminium 2014

Magnesium 2014

Natrium 2014

Neon 2014

Fluorum 2014

Oxygenium 2014

Nitrogenium 2013

Carbo 2013

Boron 2013

Beryllium 2013

Lithium 2013

Helium 2013

Hydrogenium 2013

Omega 2013

Psi 2012

Chi 2012

Phi 2012

Upsilon 2012

Tau 2012

Sigma 2012

Rho 2012

Pi 2012

Omicron 2012

Xi 2012

Nu 2011

Mu 2011

Lambda 2011

Kappa 2011

Iota 2011

Theta 2011

Eta 2011

Zeta 2011

Epsilon 2011

Delta 2011

Gamma 2011

Beta 2010

Alpha 2010

Find a path in given matrix, such that the product of all the numbers on the path has the minimal number of trailing zeros.

Matrix A, consisting of N rows and N columns of non-negative integers, is given. Rows are numbered from 0 to N−1 (from top to bottom). Columns are numbered from 0 to N−1 (from left to right). We would like to find a path that starts at the upper-left corner (0, 0) and, moving only right and down, finishes at the bottom-right corner (N−1, N−1). Then, all the numbers on this path will be multiplied together.

Find a path such that the product of all the numbers on the path contain the minimal number of trailing zeros. We assume that 0 has 1 trailing zero.

Write a function:

class Solution { public int solution(int[][] A); }

that, given matrix A, returns the minimal number of trailing zeros.

**Examples:**

1. Given matrix A below:

the function should return 1. The optimal path is: (0,0) → (0,1) → (0,2) → (1,2) → (2,2) → (2,3) → (3,3). The product of numbers 2, 10, 1, 4, 2, 1, 1 is 160, which has one trailing zero. There is no path that yields a product with no trailing zeros.

2. Given matrix A below:

the function should return 2. One of the optimal paths is: (0,0) → (1,0) → (1,1) → (1,2) → (2,2) → (3,2) → (3,3). The product of numbers 10, 1, 1, 1, 10, 1, 1 is 100, which has two trailing zeros. There is no path that yields a product with fewer than two trailing zeros.

3. Given matrix A below:

the function should return 1. One of the optimal paths is: (0,0) → (0,1) → (1,1) → (1,2) → (2,2). The product of numbers 10, 10, 0, 10, 10 is 0, which has one trailing zero. There is no path that yields a product with no trailing zeros.

Write an ** efficient** algorithm for the following assumptions:

- N is an integer within the range [1..500];
- each element of matrix A is an integer within the range [0..1,000,000,000].

Copyright 2009–2023 by Codility Limited. All Rights Reserved. Unauthorized copying, publication or disclosure prohibited.