# MONOPOLY - Editorial

Author: Tejas Pandey
Testers: Hriday, Utkarsh Gupta
Editorialist: Nishank Suresh

482

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# PROBLEM:

Given the revenue of three companies R_1, R_2, R_3, does any company have strictly higher revenue than the sum of the other two?

# EXPLANATION:

There are only three cases to check:

• R_1 \gt R_2 + R_3
• R_2 \gt R_1 + R_3
• R_3 \gt R_1 + R_2

Check all three using if conditions, then print “Yes” if any one of them is true.

A little observation can also reduce this to a single observation: the answer is “Yes” if and only if

2\cdot\max(R_1, R_2, R_3) \gt R_1+R_2+R_3

# TIME COMPLEXITY

\mathcal{O}(1) per test case.

# CODE:

Editorialist's code (Python)
for _ in range(int(input())):
a, b, c = map(int, input().split())
print('Yes' if 2*max(a, b, c) > a+b+c else 'No')