DMOPC '17 Contest 2 P0 - Secrets

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Points: 3
Time limit: 2.0s
Memory limit: 64M

Author:
Problem type

Two secret agents are exchanging messages over a computer, however, they notice that there is a shady being nearby. Given the coordinates of the two secret agents and , and the shady being, , is the shady being within units of an agent?

Input Specification

The first line will consist of two space separated integers, and .
The second line will consist of two space separated integers, and .
The third line will consist of two space separated integers, and .
The fourth and final line of input will consist of a single integer,

Output Specification

Yes, if the agent is within units of either agent, and No otherwise.

Sample Input

1 10
2 3
3 3
10

Sample Output

Yes

Explanation for Sample Output

The distance between the second secret agent and the shady being is , which is less than or equal to . The distance between the first secret agent and the shady being is , which is also less than or equal to .