Problem 0F. Flag of Chita ≡
| Author: | Антон Карабанов | Time limit: | 1 sec | |
| Input file: | Standard input | Memory limit: | 256 Mb | |
| Output file: | Standard output |
Statement
The flag of Chita is a rectangular cloth divided into four elements. The ratio of the width of the flag to its length is 2:3. In the hoist part of the flag is an equilateral triangle of yellow color, which has a base equal to the width of the flag (vertical size of the cloth) and a height equal to half of its length (horizontal size of the cloth). The triangle is flanked by equal-sized stripes of green, white, and red colors.
The colors of the flag reflect the colors of the coat of arms of the urban district of "City of Chita", carrying the traditional heraldic meaning:
- yellow (gold) — a symbol of wealth and justice;
- red (crimson) — a symbol of courage, bravery, and fearlessness;
- green (greenery) — a symbol of hope, joy, and abundance;
- white (silver) — a symbol of purity, perfection, and independence.
A flag of Chita with height of h is drawn on the coordinate plane as shown in the figure (in the first quadrant, the lower left corner coincides with the origin). Determine the color of the point with the specified coordinates.
Input format
Three lines of the input file contain three natural numbers, separated by a space: h - the height of the flag, as well as x and y — the coordinates of the point. It is guaranteed that h is divisible by 12.
Output format
Print Green, White, Red or Yellow — the answer to the problem. Print Line if the point lies on the boundary of the flag or on the line separating two or three colored areas.
Constraints
12 ≤ h ≤ 109
0 ≤ x ≤ 3 × h2
0 ≤ y ≤ h
Example explanation
See the picture.
Sample tests
| No. | Standard input | Standard output |
|---|---|---|
| 1 | |
|
Explanation
Прямая y = a × x + b делит плоскость на две полуплоскости. При этом, если для данных координат точки (x, y):
1) y равно a × x + b, это значит, что точка лежит на прямой;
2) y меньше a × x + b, это значит, что точка лежит ниже прямой;
3) y больше a × x + b, это значит, что точка лежит выше прямой;
Далее определим уравнения прямых для линий границ цветов на флаге и проверим выполнения условий для каждой из цветных областей.
