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- import java.io.File;
- import java.io.FileNotFoundException;
- import java.io.PrintWriter;
- import java.util.Arrays;
- import java.util.Scanner;
- public class B {
- public static void main(String[] args) throws FileNotFoundException {
- Scanner in = new Scanner(new File("input.txt"));
- PrintWriter out = new PrintWriter("output.txt");
- int T = in.nextInt();
- for (int i = 0; i < T; i++) {
- String s = "Case #" + (i + 1) + ": " + new B().solve(in);
- out.println(s);
- System.out.println(s);
- }
- out.close();
- }
- private String solve(Scanner in) {
- int c = in.nextInt();
- int d = in.nextInt();
- int[] x = new int[1000000];
- int n = 0;
- for (int i = 0; i < c; i++) {
- int p = in.nextInt();
- int v = in.nextInt();
- for (int j = 0; j < v; j++) {
- x[n++] = p;
- }
- }
- Arrays.sort(x, 0, n);
- double l = 0;
- double r = 1e20;
- while (true) {
- double m = (l + r) * .5;
- if (m == l || m == r) break;
- double ll = -1e20;
- boolean ok = true;
- for (int i = 0; i < n; i++) {
- ll = ll + d;
- if (x[i] + m < ll) {
- ok = false;
- } else {
- ll = Math.max(ll, x[i] - m);
- }
- }
- if (ok) {
- r = m;
- } else {
- l = m;
- }
- }
- return "" + (l);
- }
- }
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