import java.io.*;
import java.util.*;
public class bal {
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(new FileWriter(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()); }
}
static int n;
static pair [] arr;
static double [] ans;
static Stack<pair> stack = new Stack<>();
public static void main(String[] args) throws IOException {
Kattio io = new Kattio();
n = io.nextInt();
arr = new pair[n+1];
ans = new double[n+1];
arr[0] = new pair(0 , 0);
for (int i = 1; i <= n; i++) {
arr[i] = new pair(io.nextInt(), io.nextInt());
}
for (int i = 1; i <= n; i++) {
pair minRad = arr[i];
while((!stack.isEmpty()) && check(arr[i])){
if(check(arr[i])){
// mark the touching radius
minRad.y = Math.min(minRad.y, calIntersect(minRad));
stack.pop();
}
}
ans[i] = minRad.y;
stack.add(minRad);
}
for (int i = 1; i <= n; i++) {
io.printf("%.3f", ans[i]);
if(i == n)
break;
io.println();
}
io.close();
}
static double calIntersect(pair p1){
return Math.pow(stack.peek().x - p1.x, 2) / (4 * stack.peek().y);
}
static boolean check(pair p1){ // check if the circle intersects
double x1 = p1.x, y1 = p1.y, x2 = stack.peek().x, y2 = stack.peek().y, r1 = p1.y, r2 = stack.peek().y;
double distSq = (x1 - x2) * (x1 - x2) +
(y1 - y2) * (y1 - y2);
double radSumSq = (r1 + r2) * (r1 + r2);
if (distSq == radSumSq)
return false;
else if (distSq > radSumSq)
return false;
else
return true;
}
public static class pair {
private final int x;
private double y;
public pair(final int x, final double y) {
this.x = x;
this.y = y;
}
@Override
public boolean equals(final Object o) {
if (this == o) {
return true;
}
if (!(o instanceof pair)) {
return false;
}
final pair pair = (pair) o;
if (x != pair.x) {
return false;
}
if (y != pair.y) {
return false;
}
return true;
}
@Override
public int hashCode() {
int result = x;
result = 31 * result + (int)y;
return result;
}
}
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
97 ms |
9808 KB |
5th numbers differ - expected: '17.1630000000', found: '99.0000000000', error = '81.8370000000' |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
98 ms |
9568 KB |
2 numbers |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
173 ms |
10212 KB |
3rd numbers differ - expected: '0.0420000000', found: '3.0000000000', error = '2.9580000000' |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
720 ms |
19232 KB |
114th numbers differ - expected: '39.0180000000', found: '56.0000000000', error = '16.9820000000' |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
1725 ms |
23048 KB |
196th numbers differ - expected: '100.7250000000', found: '111.0000000000', error = '10.2750000000' |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
2085 ms |
31708 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
2070 ms |
29228 KB |
Time limit exceeded |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
1958 ms |
29732 KB |
4645th numbers differ - expected: '0.0260000000', found: '8.0000000000', error = '7.9740000000' |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
2083 ms |
34368 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
2065 ms |
36340 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |