LogiQuest

345. Traffic Light Colour

EasyModular Arithmetic

A light shows GREEN for g seconds, YELLOW for y seconds, then RED for r seconds, repeating from time 0. Print its colour at time t.

Input format

A single line: g y r t

Output format

GREEN, YELLOW or RED

Example 1

Input

30 5 25 0

Output

GREEN

Example 2

Input

30 5 25 32

Output

YELLOW

Constraints

1 ≤ g, y, r ≤ 10⁶ 0 ≤ t ≤ 10¹⁸

Read input from standard input and print the answer to standard output. Your code is judged against 5 test cases, most of them hidden.

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