f436.
11498 - Division of Nlogonia

Content

判斷點在參考點的哪個方向

After centuries of hostilities and skirmishes between the four nations living in the land generally known as Nlogonia, and years of negotiations involving diplomats, politicians and the armed forces of all interested parties, with mediation by UN, NATO, G7 and SBC, it was at last agreed by all the way to end the dispute, dividing the land into four independent territories.

It was agreed that one point, called division point, with coordinates established in the negotiations,would define the country division, in the following way. Two lines, both containing the division point,one in the North-South direction and one in the East-West direction, would be drawn on the map,dividing the land into four new countries. Starting from the Western-most, Northern-most quadrant,in clockwise direction, the new countries will be called Northwestern Nlogonia, Northeastern Nlogonia,Southeastern Nlogonia and Southwestern Nlogonia.

The UN determined that a page in the Internet should exist so that the inhabitants could check in which of the countries their homes are. You have been hired to help implementing the system.

Input

每筆測資第一行有個K(0 < K ≤ 10^3)代表有幾個點要判斷 K為0時結束

第二行有N,M(−10^4 < N, M < 10^4)(N,M)為參考點

接下來K行每行有一對X,Y(−10^4 ≤ X, Y ≤ 10^4)(X,Y)為要判斷的點座標

The input contains several test cases. The first line of a test case contains one integer K indicating the number of queries that will be made (0 < K ≤ 10^3). The second line of a test case contains two integers N and M representing the coordinates of the division point (−10^4 < N, M < 10^4). Each of the K following lines contains two integers X and Y representing the coordinates of a residence (−10^4 ≤ X, Y ≤ 10^4).

The end of input is indicated by a line containing only the number zero.

Output

如果該點的X座標或Y座標和參考點相同則輸出"divisa"(不含雙引號)

點在東北時輸出"NE"(不含雙引號)

點在西北時輸出"NO"(不含雙引號)

點在東南時輸出"SE"(不含雙引號)

點在西南時輸出"SO"(不含雙引號)

For each test case in the input your program must print one line containing:

• the word ‘divisa’ (means border in Portuguese) if the residence is on one of the border lines

(North-South or East-West);

• ‘NO’ (means NW in Portuguese) if the residence is in Northwestern Nlogonia;

• ‘NE’ if the residence is in Northeastern Nlogonia;

• ‘SE’ if the residence is in Southeastern Nlogonia;

• ‘SO’ (means SW in Portuguese) if the residence is in Southwestern Nlogonia.

Sample Input
#1

3 2 1 10 10 -10 1 0 33 4 -1000 -1000 -1000 -1000 0 0 -2000 -10000 -999 -1001 0

Sample Output
#1

NE divisa NO divisa NE SO SE

測資資訊：

記憶體限制：
512
MB

公開 測資點#0 (25%): 1.0s , <10M

公開 測資點#1 (25%): 1.0s , <10M

公開 測資點#2 (25%): 1.0s , <10M

公開 測資點#3 (25%): 1.0s , <10M

公開 測資點#0 (25%): 1.0s , <10M

公開 測資點#1 (25%): 1.0s , <10M

公開 測資點#2 (25%): 1.0s , <10M

公開 測資點#3 (25%): 1.0s , <10M

2020 6月CPE第一題

ID | User | Problem | Subject | Hit | Post Date |

33427 | yp11151203@y ... (802-39楊子頡) | f436 | 300 | 2023-01-05 17:40 | |

33260 | yp11151165@y ... (805-39 陳奕嘉) | f436 | 340 | 2022-12-16 22:45 |