Air Conditioner Temperature
Hazrat Ali
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 AA degrees.
- Bob wants the temperature to be at most BB degrees.
- Charlie wants the temperature to be at least CC degrees.
Can they all agree on some temperature, or not?
Input Format
- The first line of input will contain a single integer TT, denoting the number of test cases.
- Each test case consists of a single line which contains three integers - A,B,CA,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.
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).
Constraints
- 1≤T≤100
- 1≤A,B,C≤100
Subtasks
- Subtask 1 (10 points): 1≤M≤10
- Subtask 2 (20 points): The sum of NN across all test cases won't exceed 2020.
- Subtask 3 (70 points): No further constraints.
Sample 1:
4 30 35 25 30 35 40 30 35 35 30 25 35
Output
Yes No Yes No
Explanation:
Test Case 1: Alice wants the temperature to be ≥30, Bob wants it to be ≤35, and Charlie wants it to be ≥25. The temperatures 30,31,32,33,34,3530,31,32,33,34,35 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 ≥30, Bob wants it to be ≤35, and Charlie wants it to be ≥40. A number can't be both ≥40, and ≤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 ≥30, Bob wants it to be ≤35, and Charlie wants it to be ≥35. The temperature 3535 satisfies all their demands. So the answer is "Yes".
Test Case 4: Alice wants the temperature to be ≥30, Bob wants it to be ≤25, and Charlie wants it to be ≥35. A number can't be both ≥30, and ≤25. So there is no temperature that satisfies all their demands. So the answer is "No".
Solution