St Andrews Online Judge

Traffic Light Prediction

By Kay Akashi

Time: 1000 ms
Memory: 256000 kB

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Problem Statement

The colour of traffic light in the town of Leveen changes periodically in a following fashion: green → yellow → red → yellow → green → yellow → red → yellow → green → …. The colour turns green at 00:00:00 of each day, and we know that green light lasts for gg seconds, yellow light lasts for yy seconds, and red light lasts for rr seconds.

Now, tt seconds have passed since 00:00:00. Your task is to tell which colour is shown in the traffic light at the time of tt.

If tt is exactly the time when the light turns one from another, output the colour AFTER the change.

Note that, no matter what colour is shown at 23:59:59 in the previous day, the colour turns green at 00:00:00.

Constraints

1≤g,y,r≤1001 \leq g, y, r \leq 100, 0≤t≤864000 \leq t \leq 86400.

Input

The first line of input contains three integers, gg, yy, rr. The second line of input contains one integer, tt.

Output

Answer the colour from three choices: "green", "yellow", "red".

Examples

Input

10 2 10
70

Output

yellow

Explanation

  • 00:00:00 → the light turns green.
  • 00:00:10 → the light turns yellow.
  • 00:00:12 → the light turns red.
  • 00:00:22 → the light turns yellow.
  • 00:00:24 → the light turns green.
  • 00:00:34 → the light turns yellow.
  • 00:00:36 → the light turns red.
  • 00:00:46 → the light turns yellow.
  • 00:00:48 → the light turns green.
  • 00:00:58 → the light turns yellow.
  • 00:01:00 → the light turns red.
  • 00:01:10 → the light turns yellow. At the time of t=70t = 70, the light turns yellow from red. Hence the answer is yellow.

Input

48 12 41
0

Output

green

Explanation

Regardless of the colour shown in the last minute of previous day, at t=0t = 0 the colour turns green in the very beginning of the day.