This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
import java.io.*;
import java.util.*;
public class mobile {
public static int num; public static double[][] arr;
public static void main(String[] args) throws IOException {
FastIO io = new FastIO(); num = io.nextInt(); int L = io.nextInt(); arr = new double[num][2];
for (int i = 0;i<num;i++) {
arr[i][0] = io.nextInt(); arr[i][1] = io.nextInt();
}
double l = 0; double h = 2*Math.pow(10,9);
while (h-l>Math.pow(10,-3)) {
double r = (l+h)/2; boolean work = true;
double right = 0;
for (int i = 0;i<num;i++) {
if (r*r-arr[i][1]*arr[i][1]<0) continue;
double sqrt = Math.sqrt(r*r-arr[i][1]*arr[i][1]);
if (arr[i][0]+sqrt<0) continue;
double newL = arr[i][0]-sqrt; double newR = arr[i][0]+sqrt;
if (newL<=right) right = Math.max(right, newR);
}
work = right>=L;
if (work) h = r;
else l = r;
}
io.println((l+h)/2); io.close();
}
public static class FastIO extends PrintWriter {
private InputStream stream;
private byte[] buf = new byte[1 << 16];
private int curChar;
private int numChars;
// standard input
public FastIO() { this(System.in, System.out); }
public FastIO(InputStream i, OutputStream o) {
super(o);
stream = i;
}
public FastIO(String i, String o) throws IOException {
super(new FileWriter(o));
stream = new FileInputStream(i);
}
// throws InputMismatchException() if previously detected end of file
private int nextByte() {
if (numChars == -1) { throw new InputMismatchException(); }
if (curChar >= numChars) {
curChar = 0;
try {
numChars = stream.read(buf);
} catch (IOException e) { throw new InputMismatchException(); }
if (numChars == -1) {
return -1; // end of file
}
}
return buf[curChar++];
}
public int nextInt() { // nextLong() would be implemented similarly
int c;
do { c = nextByte(); } while (c <= ' ');
int sgn = 1;
if (c == '-') {
sgn = -1;
c = nextByte();
}
int res = 0;
do {
if (c < '0' || c > '9') { throw new InputMismatchException(); }
res = 10 * res + c - '0';
c = nextByte();
} while (c > ' ');
return res * sgn;
}
}
}
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