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.

3 12300 12358.9

YES 0.123*10^5

3 120 128

NO 0.120*10^3 0.128*10^3

#include<cstdio>
#include<cstring>
#define MAX 105

using namespace std;

int Process(char str[],int n,char ret[])
{
	int i=0,j=0;
	int exp=0;
	while(str[i]==‘0‘)//去掉前面的0
		i++;
	if(str[i]==‘.‘)//型如0000000.000*****的浮点数
	{
		i++;
		while(str[i]==‘0‘)
		{
			i++;
			exp--;
		}
		if(str[i]==‘\0‘)//0的另一种形式如00000.000000
		{
			int k;
			exp=0;
			for(k=0;k<n;k++)
				ret[k]=‘0‘;
			ret[k]=‘\0‘;
			return exp;
		}
		while(str[i]!=‘\0‘)
		{
			ret[j]=str[i];
			i++;
			j++;
			if(j==n)
				break;
		}
	}
	else
	{
		if(str[i]==‘\0‘)//0的一种表示例如00000000
		{
			int k;
			exp=0;
			for(k=0;k<n;k++)
				ret[k]=‘0‘;
			ret[k]=‘\0‘;
			return exp;
		}
		else//0000*****.******
		{
			while(str[i]!=‘.‘&&str[i]!=‘\0‘)
			{
				if(j<n)//取n位的精度
				{
					ret[j]=str[i];
					j++;
				}
				i++;
				exp++;
			}
			if(j<n&&str[i]!=‘\0‘)
			{
				i++;
				while(str[i]!=‘\0‘)
				{
					ret[j]=str[i];
					i++;
					j++;
					if(j==n)
						break;
				}
			}
		}
	}
	ret[j]=‘\0‘;
	return exp;
}

int main(int argc,char *argv[])
{
	int N;
	char A[MAX],B[MAX];
	scanf("%d %s %s",&N,A,B);
	char retA[MAX],retB[MAX];
	int expA=Process(A,N,retA);
	int expB=Process(B,N,retB);
	if(expA==expB&&strcmp(retA,retB)==0)
		printf("YES 0.%s*10^%d\n",retA,expA);
	else
		printf("NO 0.%s*10^%d 0.%s*10^%d\n",retA,expA,retB,expB);
	
	return 0;
}