PAT 1060. Are They Equal (25)
1060. Are They Equal (25)
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...dN*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 12358.9Sample Output 1:
YES 0.123*10^5Sample Input 2:
3 120 128Sample Output 2:
NO 0.120*10^3 0.128*10^3
需要注意的是的情况为0.00, 0012.3 0.00123等等
1 #include <iostream> 2 #include <string> 3 4 using namespace std; 5 6 int CalculateRadix(string &num) 7 { 8 int i = 0; 9 while (i < num.size()) 10 { 11 if (num[i] == '.') 12 { 13 num.erase(i, 1); 14 break; 15 } 16 i++; 17 } 18 19 return i; 20 } 21 22 int erasezero(string &num) 23 { 24 int cnt = 0; 25 string::iterator it = num.begin(); 26 while (it!=num.end()&& (*it) == '0') 27 { 28 it = num.erase(it); 29 cnt++; 30 } 31 return cnt; 32 } 33 34 string CalculateCoeff(string num, int significantNum, int &radix) 35 { 36 string coeff; 37 radix -= erasezero(num); 38 if (num.empty()) 39 radix = 0; 40 if (num.size() >= significantNum) 41 coeff.assign(num.begin(), num.begin() + significantNum); 42 else 43 coeff = num + string(significantNum - num.size(), '0'); 44 45 return "0." + coeff; 46 } 47 48 int main() 49 { 50 string num1, num2; 51 int significantNum; 52 cin >> significantNum >> num1 >> num2; 53 54 int radix1, radix2; 55 radix1 = CalculateRadix(num1); 56 radix2 = CalculateRadix(num2); 57 58 string coeff1 = CalculateCoeff(num1, significantNum, radix1); 59 string coeff2 = CalculateCoeff(num2, significantNum, radix2); 60 61 if (coeff1 == coeff2&&radix1 == radix2) 62 cout << "YES" << " " << coeff1 << "*10^" << radix1; 63 else 64 cout << "NO" << " " << coeff1 << "*10^" << radix1 << " " << coeff2 << "*10^" << radix2; 65 }