Time Limit: 2s Memory Limit: 192MB
Problem Description
Input the coordinates of two points (X1,Y1), (X2,Y2), and calculate and output the distance between the two points.
Input Format
Input data consists of multiple groups, each group occupies one line, consisting of 4 real numbers representing x1, y1, x2, y2, separated by spaces.
Output Format
For each group of input data, output one line, with the result rounded to two decimal places.
Sample Input
0 0 0 1
0 1 1 0
Sample Output
1.00
1.41
Code
#include <iostream>#include <iomanip>#include <cmath>using namespace std;
int main() { double x1, y1, x2, y2;
// Multiple inputs while (cin >> x1 >> y1 >> x2 >> y2) { // Calculate distance double distance = sqrt(pow(x2 - x1, 2) + pow(y2 - y1, 2));
// Output result, rounded to two decimal places cout << fixed << setprecision(2) << distance << endl; }
return 0;}Output Result
Code Explanation
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Header Files
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<span><iostream></span>: Input and output -
<span><iomanip></span>: Format output (retain decimal places) -
<span><cmath></span>: Mathematical functions (sqrt, pow)
Handling Multiple Inputs
-
Using
<span>while (cin >> x1 >> y1 >> x2 >> y2)</span>to read multiple sets of data
Distance Calculation
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<span>pow(x2 - x1, 2)</span>: Calculate the square of the difference in x-coordinates -
<span>pow(y2 - y1, 2)</span>: Calculate the square of the difference in y-coordinates -
<span>sqrt()</span>: Take the square root to get the distance
Formatted Output
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<span>fixed</span>: Fixed decimal format -
<span>setprecision(2)</span>: Retain two decimal places
This is a problem to calculate the distance between two points, using the Euclidean distance formula.
Distance Formula
The distance formula between two points $(x_1, y_1)$ and $(x_2, y_2)$ is:
Another Implementation (without using pow)
double dx = x2 - x1;double dy = y2 - y1;double distance = sqrt(dx * dx + dy * dy);This method is slightly more efficient.
C++ Basic Tutorial Collection
C++ Basic Materials
1. C++ Output
2. C++ Variables
3. C++ Input
4. C++ Expressions
5. IF Statements
6. IF Applications
7. WHILE Loops
8. FOR Loops
9. Arrays
10. One-Dimensional Arrays
11. Two-Dimensional Arrays
12. C++ Functions
13. C++ File Operations – Writing Files
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