1060 Are They Equal

Statement

Metadata

作者: CHEN, Yue
单位: 浙江大学
代码长度限制: 16 KB
时间限制: 400 ms
内存限制: 64 MB

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 $0.123\times 10^5$ 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 $10^{100}$ , 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.d[1]...d[N]*10^k (d[1]>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

Last update: May 4, 2022