[Solution] Valid Minimum CodeChef Solution

Problem

There are $3$ hidden numbers $A, B, C$.

You somehow found out the values of $\min(A, B), \min(B, C),$ and $\min(C, A)$.

Determine whether there exists any tuple $(A, B, C)$ that satisfies the given values of $\min(A, B), \min(B, C), \min(C, A)$.

Input Format

• The first line of input will contain a single integer $T$, denoting the number of test cases.
• The first and only line of each test case contains $3$ space-separated integers denoting the values of 

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• $\min(A, B), \min(B, C),$ and $\min(C, A)$.

Output Format

For each test case, output YES if there exists any valid tuple $(A, B, C)$, and NO otherwise.

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You can print each letter of the output in any case. For example YES, yes, yEs will all be considered equivalent.

Explanation:

Test case $1$: One valid tuple $(A, B, C)$ is $(5, 5, 5)$.

Test case $2$: It can be shown that there is no valid tuple $(A, B, C)$.

Test case $3$: One valid tuple $(A, B, C)$ is $(4, 2, 5)$.