百炼1005:I Think I Need a Houseboat

君骚兮

于 2019-08-27 07:02:46 发布

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分类专栏：百炼

本文链接：https://blog.youkuaiyun.com/yqajsj/article/details/100088829

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Fred计划在Louisiana购买土地建造房屋，但了解到该州因密西西比河侵蚀每年失去50平方英里土地。他发现损失的土地形成一个以X轴为中心的半圆，且从第一年开始半圆面积逐年递增。程序要求根据给定坐标预测土地何时开始被侵蚀。

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描述

Fred Mapper is considering purchasing some land in Louisiana to build his house on. In the process of investigating the land, he learned that the state of Louisiana is actually shrinking by 50 square miles each year, due to erosion caused by the Mississippi River. Since Fred is hoping to live in this house the rest of his life, he needs to know if his land is going to be lost to erosion.

After doing more research, Fred has learned that the land that is being lost forms a semicircle. This semicircle is part of a circle centered at (0,0), with the line that bisects the circle being the X axis. Locations below the X axis are in the water. The semicircle has an area of 0 at the beginning of year 1. (Semicircle illustrated in the Figure.)