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## 문제

Graphics libraries usually implement drawing of graphics primitives, like lines, polygons and circles. Your task is to write a program that draws circles.

Graphic canvas is represented as an array of Xsize by Ysize pixels. Each pixel have a color ranged from 0 to 9. Initially all pixels have color 0. Pixels are thought of as small sqares with the side of length 1. A circle with center (xc, yc) and radius R is a set of pixels (x, y) satisfying the inequality (x - xc)2 + (yyc)2 &le; R2

To draw a circle, your program should set the color of all pixels in a set defined above to the color of the circle. After drawing N given circles, the program should output the color of all pixels of the canvas.

## 입력

Input file contains numbers Xsize Ysize N followed by N sets of numbers xi yi Ri ci, describing the coordinates of center, radius and color of i-th circle.

## 출력

Output file should contain Ysize lines of Xsize characters each, where i-th character of j-th line is a digit corresponding to color of the pixel (i, j).

## 제한

• 1 ≤ Xsize, Ysize ≤ 1000,
• 1 ≤ N ≤ 10000,
• 0 ≤ xi < Xsize,
• 0 ≤ yi < Ysize,
• 1 ≤ Ri ≤ 200,
• 0 ≤ ci ≤ 9.

## 예제 입력 1

5 5 1
2 2 1 3


## 예제 출력 1

00000
00300
03330
00300
00000


## 예제 입력 2

4 3 2
2 2 2 5
0 1 1 9


## 예제 출력 2

9050
9955
9555