Skill Improvement - EDITORIAL:
Find the total no. of pairs of coding skills rating and soft skill rating such that coding skill rating > soft skill rating, given your initial coding skills rating C and soft skills rating S and you will work for H hours to improve your skills.
The condition will be C+i - (S+H-i) >= 1. So, an expression can be derived for i and then finally the no. of pairs.
Given initially coding and soft skills rating as C and S respectively. Let’s say we dedicate i hours to improve coding skills. New ratings will be C+i and S+H-i respectively. The condition will be, C+i - (S+H-i) \gt 0. By simplifying this we get i\ge ceil((S+H-C)/2).
Therefore, the no.of pairs = max(H+1-max( ceil(S+H-C)/2,0 ), 0)
Note: ceil(x/n) = x//n + x%n. Using this makes the code shorter. [// is floor division]
Check out my solution which uses 114 characters. This solution can be improved more. Feel free to share your approach, if it differs. Suggestions are always welcomed.
for _ in range(input()): c,s,h=map(int,raw_input().split()) w=h-c+s+1 print max(h-max(w//2+w%2,0)+1,0)