该问题讨论的是如何在n×n的国际象棋棋盘上放置k个象，使得它们互不攻击。给定n和k，目标是找出所有可能的放置方式数，保证没有两个象位于同一斜线上。输入包含多个测试用例，每个用例包含n和k的值。输出是满足条件的放置方式计数，确保总数小于10^15。可以将棋盘视为两部分并应用动态规划策略来解决此问题。
Bishops
Input: standard input
Output: standard output
Time Limit: 4 seconds
Memory Limit: 32 MB
A bishop is a piece used in thegame of chess which is played on a board of square grids. A bishop can only movediagonally from its current position and two bishops attack each other if oneis on the path of the other. In the following figure, the dark squaresrepresent the reachable locations for bishop B1 formits current po
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