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Problem D
Square Peg
You know the old saying: You can’t fit a square peg in a round hole!
Well, obviously you can if the hole is big enough. I guess you can’t fit a square peg into a round hole that is sufficiently small.
Given the side length $L$ of a square peg and the radius $R$ of a circular hole, determine if a square with side length $L$ can be placed within a circle of radius $R$.
Input
Input consists of two space-separated integers $L,R$ ($1 \leq L, R \leq 1\, 000$) on a single line.
Output
If a square of side length $L$ can fit in a circle with radius $R$, output a single line with the phrase fits. Otherwise, the square cannot fit within the circle then output a single line with the phrase nope.
| Sample Input 1 | Sample Output 1 |
|---|---|
5 3 |
nope |
| Sample Input 2 | Sample Output 2 |
|---|---|
4 3 |
fits |
