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:

May the 4th Challenge

PAST CHALLENGES

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

Compute the number of "True" values in an OR-Pascal-triangle structure.

On the sequence of logical values (`true` or `false`) we can build up an OR-Pascal-triangle structure. Instead of summing the values, as in a standard Pascal-triangle, we will combine them using the OR function. That means that the lowest row is simply the input sequence, and every entry in each subsequent row is the OR of the two elements below it. For example, the OR-Pascal-triangle built on the array [`true`, `false`, `false`, `true`, `false`] is as follows:

Your job is to count the number of nodes in the OR-Pascal-triangle that contain the value `true` (this number is 11 for the animation above).

Write a function:

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

that, given an array P of N Booleans, returns the number of fields in the OR-Pascal-triangle built on P that contain the value `true`. If the result is greater than 1,000,000,000, your function should return 1,000,000,000.

Given P = [`true`, `false`, `false`, `true`, `false`], the function should return 11, as explained above.

Given P = [`true`, `false`, `false`, `true`], the function should return 7, as can be seen in the animation below.

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

- N is an integer within the range [1..100,000].