LightOJ - 1005

題目:
A rook is a piece used in the game of chess which is played on a board of square grids. A rook can only move vertically or horizontally from its current position and two rooks attack each other if one is on the path of the other. In the following figure, the dark squares represent the reachable locations for rook R1 from its current position. The figure also shows that the rook R1 and R2 are in attacking positions where R1 and R3 are not. R2 and R3 are also in non-attacking positions.

Now, given two numbers n and k, your job is to determine the number of ways one can put k rooks on an n x n chessboard so that no two of them are in attacking positions.

Input
Input starts with an integer T (≤ 350), denoting the number of test cases.

Each case contains two integers n (1 ≤ n ≤ 30) and k (0 ≤ k ≤ n2).

Output
For each case, print the case number and total number of ways one can put the given number of rooks on a chessboard of the given size so that no two of them are in attacking positions. You may safely assume that this number will be less than 1017.

Sample Input
8
1 1
2 1
3 1
4 1
4 2
4 3
4 4
4 5

Sample Output
Case 1: 1
Case 2: 4
Case 3: 9
Case 4: 16
Case 5: 72
Case 6: 96
Case 7: 24
Case 8: 0

就是把k個棋子,放在n*n的棋盤裏面,但他們就像國際象棋中的車一樣不能在同一行或同一列上,否則會被消滅

假如k大於n是肯定不可能的所以輸出0

然後就是要選擇 那一行 那一列有棋子

然後再哪一行和那一列匹配起來例如2 2 第二行第一行 第一列第二列都要有棋子

可以·匹配成行1列2或者行2列1兩種情況

發表評論
所有評論
還沒有人評論,想成為第一個評論的人麼? 請在上方評論欄輸入並且點擊發布.
相關文章