Check if a linked list contains a cycle

Given a linked list, you are asked to check if it contains a cycle.
TODO: Should we have a tutorial here?
TODO: Determine the input format

Input

The initial data for the linked list is obtained automatically. You don’t need to do anything. It’s guaranteed that the size of the linked list does exceed and the values in the linked list don’t exceed in their absolute value.

Output

The program should print Yes in case the linked list contains a cycle and No otherwise.

Examples

Input
Output
2 3 4 5 3
Yes
2 3 4 5 0
No
4 3 1 5 2
Yes
Β 

Constraints

Time limit: 2 seconds

Memory limit: 512 MB

Output limit: 1 MB

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