【HDU4576】Robot

本文探讨了HDU4576题目中关于机器人的路径规划问题,通过递推与动态规划的方法,详细解析了解题思路和实现过程,帮助读者理解如何在受限环境中寻找最优解。

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Michael has a telecontrol robot. One day he put the robot on a loop with n cells. The cells are numbered from 1 to n clockwise.



At first the robot is in cell 1. Then Michael uses a remote control to send m commands to the robot. A command will make the robot walk some distance. Unfortunately the direction part on the remote control is broken, so for every command the robot will chose a direction(clockwise or anticlockwise) randomly with equal possibility, and then walk w cells forward.
Michael wants to know the possibility of the robot stopping in the cell that cell number >= l and <= r after m commands.

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