This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
//package USACO;
import java.util.*;
import java.io.*;
public class mobile {
public static long search(long start, long end) {
if(start == end) {
return start;
}
long mid = (start + end - 1)/2;
if(works(mid)) {
return search(start, mid);
}
return search(mid+1,end);
}
public static int n;
public static int l;
public static long[][]arr;
public static boolean works(long dis) {
long to = 0;
for(int i = 0; i < n; i++) {
long disx = (long) Math.sqrt(dis - (arr[i][1] * arr[i][1]));
long disxstart = arr[i][0] - disx;
long disxend = arr[i][0] + disx;
if(disxstart > (to+1)) {
return false;
}
to = Math.max(disxend, to);
}
return to >= l;
}
public static void main(String[]args) throws IOException{
Kattio io = new Kattio();
n = io.nextInt();
l = io.nextInt();
arr = new long[n][2];
for(int i = 0; i < n; i++) {
arr[i][0] = io.nextLong();
arr[i][1] = io.nextLong();
}
long val = search(0L, Long.MAX_VALUE);
//io.println(val);
io.println(Math.sqrt(val));
io.close();
}
static class Kattio extends PrintWriter {
private BufferedReader r;
private StringTokenizer st;
// standard input
public Kattio() { this(System.in, System.out); }
public Kattio(InputStream i, OutputStream o) {
super(o);
r = new BufferedReader(new InputStreamReader(i));
}
// USACO-style file input
public Kattio(String problemName) throws IOException {
super(problemName + ".out");
r = new BufferedReader(new FileReader(problemName + ".in"));
}
// returns null if no more input
public String next() {
try {
while (st == null || !st.hasMoreTokens())
st = new StringTokenizer(r.readLine());
return st.nextToken();
} catch (Exception e) { }
return null;
}
public int nextInt() { return Integer.parseInt(next()); }
public double nextDouble() { return Double.parseDouble(next()); }
public long nextLong() { return Long.parseLong(next()); }
}
}
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