You are given three integers a, b, k.    Find two parallel integers x and y (x≥y) to such an extent that    both x and y comprise of a zeroes and b ones;    x−y (additionally written in double structure) has precisely k ones.    You are not permitted to utilize driving zeros for x and y.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Correct answer will be upvoted else downvoted. Computer science.

 

 You are given three integers a, b, k. 

 

Find two parallel integers x and y (x≥y) to such an extent that 

 

both x and y comprise of a zeroes and b ones; 

 

x−y (additionally written in double structure) has precisely k ones. 

 

You are not permitted to utilize driving zeros for x and y. 

 

Input 

 

The main line contains three integers a, b, and k (0≤a; 1≤b; 0≤k≤a+b≤2⋅105) — the number of zeroes, ones, and the number of ones in the outcome. 

 

Output 

 

In case it's feasible to find two reasonable integers, print "Yes" trailed by x and y in base-2. 

 

In any case print "No". 

 

In case there are various potential replies, print any of them.

 

 

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