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.FileInputStream;
import java.io.FileWriter;
import java.io.IOException;
import java.io.InputStream;
import java.io.OutputStream;
import java.io.PrintWriter;
import java.util.InputMismatchException;
import java.util.Stack;
import java.util.StringTokenizer;
// https://oj.uz/problem/view/CEOI11_bal
public class bal {
public static void main(String[] args) throws IOException {
FastIO io = new FastIO();
int n = io.nextInt();
Stack<Integer> s = new Stack<>();
double[] px = new double[n];
double[] pr = new double[n];
StringTokenizer token;
for (int i = 0; i < n; i++) {
double x = io.nextDouble();
double r = io.nextDouble();
while (!s.isEmpty()) {
int t = s.peek();
double x1 = px[t];
double r1 = pr[t];
r = Math.min(r, (x-x1)*(x-x1)/(4.0*r1));
if (r >= r1) s.pop();
else break;
}
io.printf("%.3f\n", r);
px[i] = x;
pr[i] = r;
s.push(i);
}
io.close();
}
}
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;
}
// file input
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++];
}
// to read in entire lines, replace c <= ' '
// with a function that checks whether c is a line break
public String next() {
int c;
do {
c = nextByte();
} while (c <= ' ');
StringBuilder res = new StringBuilder();
do {
res.appendCodePoint(c);
c = nextByte();
} while (c > ' ');
return res.toString();
}
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;
}
public double nextDouble() { return Double.parseDouble(next()); }
}
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