[Solution] Air Conditioner Temperature CodeChef Solution

Problem

There are three people sitting in a room - Alice, Bob, and Charlie. They need to decide on the temperature to set on the air conditioner. Everyone has a demand each:

• Alice wants the temperature to be at least $A$ degrees.
• Bob wants the temperature to be at most $B$ degrees.
• Charlie wants the temperature to be at least $C$ degrees.

Can they all agree on some temperature, or not?

Input Format

• The first line of input will contain a single integer $T$, denoting the number of test cases.
• Each test case consists of a single line which contains three integers - $A, B, C$.

Output Format

For each test case, output on a new line, "Yes" or "No". "Yes", if they can decide on some temperature which fits all their demands. Or "No", if no temperature fits all their demands.

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You may print each character of the string in either uppercase or lowercase (for example, the strings NO, nO, No, and no will all be treated as identical).

Explanation:

Test Case 1: Alice wants the temperature to be $\ge 30$, Bob wants it to be $\le 35$, and Charlie wants it to be $\ge 25$. The temperatures $30, 31, 32, 33, 34, 35$ all satisfy all their demands. So they can choose any of these 6 temperatures, and so the answer is "Yes".

Test Case 2: Alice wants the temperature to be $\ge 30$, Bob wants it to be $\le 35$, and Charlie wants it to be $\ge 40$. A number can't be both $\ge 40$, and $\le 35$. So there is no temperature that satisfies all their demands. So the answer is "No".

Test Case 3: Alice wants the temperature to be $\ge 30$, Bob wants it to be $\le 35$, and Charlie wants it to be $\ge 35$. The temperature $35$ satisfies all their demands. So the answer is "Yes".

Test Case 4: Alice wants the temperature to be $\ge 30$, Bob wants it to be $\le 25$, and Charlie wants it to be $\ge 35$. A number can't be both $\ge 30$, and $\le 25$. So there is no temperature that satisfies all their demands. So the answer is "No".