PAT 1060 Are They Equal

这道题目让我实在是够蛋疼的,所以就发个CNT来祭奠一下...

Problem Description:

If a machine can save only 3 significant digits, the float numbers 12300 and 12358.9 are considered equal since they are both saved as 0.123*10⁵ with simple chopping. Now given the number of significant digits on a machine and two float numbers, you are supposed to tell if they are treated equal in that machine.

Input Specification:

Each input file contains one test case which gives three numbers N, A and B, where N (<100) is the number of significant digits, and A and B are the two float numbers to be compared. Each float number is non-negative, no greater than 10¹⁰⁰, and that its total digit number is less than 100.

Output Specification:

For each test case, print in a line "YES" if the two numbers are treated equal, and then the number in the standard form "0.d₁...d_N*10^k" (d₁>0 unless the number is 0); or "NO" if they are not treated equal, and then the two numbers in their standard form. All the terms must be separated by a space, with no extra space at the end of a line.

Note: Simple chopping is assumed without rounding.

Sample Input 1:

3 12300 12358.9

Sample Output 1:

YES 0.123*10^5

Sample Input 2:

3 120 128

Sample Output 2:

NO 0.120*10^3 0.128*10^3

本题的解题思路是比较简单的，不需要用到复杂的算法。

不过小菜做的过程中因为没考虑周全而浪费了很多时间。

本题解题关键在于浮点数的标准化表示形式的转换。（即题目中给定的0.d1d2d3...dn*10^k)

输入数据主要有一下几种情况需要主要：

A或B输入存在前导零情况；
A或B是小于0的小数；(做题过程一直把它忽略了,最后才蛋疼的想起来)
A或B为0；
以上3种情况组合而成。
鉴于代码写得实在令人看不下去，就不贴出来污染大家了。