#include <bits/stdc++.h>
using namespace std;
#define fastio ios_base::sync_with_stdio(0); cin.tie(0)
#define all(a) a.begin(), a.end()
#define rall(a) a.rbegin(), a.rend()
#define ll long long
#define ld long double
struct P{
ll x, y;
};
void dbg_out() { cerr << endl; }
template <typename H, typename... T>
void dbg_out(H h, T... t) { cerr << ' ' << h; dbg_out(t...); }
#define dbg(...) { cerr << #__VA_ARGS__ << ':'; dbg_out(__VA_ARGS__); }
ld border(ld x, ld y, ld a, ld b){
return (a*a + b*b - x*x - y*y) / (2*a - 2*x);
}
ld dist(ld x, ld y, ld point){
return sqrtl(y*y + (point-x)*(point-x));
}
signed main(){
fastio;
int n, r;
cin >> n >> r;
stack<pair<int, int>> st;
int a, b, x, y;
for (int i=0; i<n; i++){
cin >> a >> b;
if (b < 0) b = -b;
while (!st.empty() && st.top().first == a && st.top().second > b) st.pop();
while ((int)st.size() > 1){
tie(x, y) = st.top();
st.pop();
// if prev is not a useless point, put it back and stop
if (border(x, y, a, b) > border(st.top().first, st.top().second, x, y)){
st.push({x, y});
break;
}
}
st.push({a, b});
}
ld ans=0;
ld right=r;
while ((int)st.size() > 1){
tie(a, b) = st.top();
st.pop();
tie(x, y) = st.top();
ld left = border(x, y, a, b);
if (left >= right) continue;
if (right >= 0 && right <= r) ans = max(ans, dist(a, b, right));
if (left >= 0 && left <= r) ans = max(ans, dist(a, b, left));
right = left;
}
tie(a, b) = st.top();
if (right >= 0) {
ans = max(ans, dist(a, b, right));
ans = max(ans, dist(a, b, 0));
}
cout << fixed << setprecision(13);
cout << ans << '\n';
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
456 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Incorrect |
1 ms |
348 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
344 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Incorrect |
1 ms |
348 KB |
Output isn't correct |
4 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Incorrect |
1 ms |
348 KB |
Output isn't correct |
4 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
11 ms |
1112 KB |
Output is correct |
2 |
Incorrect |
11 ms |
1464 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
11 ms |
1116 KB |
Output is correct |
2 |
Correct |
11 ms |
1116 KB |
Output is correct |
3 |
Correct |
13 ms |
1368 KB |
Output is correct |
4 |
Correct |
14 ms |
1628 KB |
Output is correct |
5 |
Correct |
15 ms |
1884 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
12 ms |
1748 KB |
Output is correct |
2 |
Incorrect |
12 ms |
1372 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
17 ms |
1848 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
16 ms |
2244 KB |
Output is correct |
2 |
Incorrect |
16 ms |
1632 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
69 ms |
8632 KB |
Output is correct |
2 |
Correct |
99 ms |
7964 KB |
Output is correct |
3 |
Correct |
73 ms |
7512 KB |
Output is correct |
4 |
Correct |
93 ms |
9808 KB |
Output is correct |
5 |
Correct |
84 ms |
7252 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
78 ms |
9044 KB |
Output is correct |
2 |
Correct |
74 ms |
7468 KB |
Output is correct |
3 |
Correct |
67 ms |
6736 KB |
Output is correct |
4 |
Correct |
93 ms |
9556 KB |
Output is correct |
5 |
Correct |
83 ms |
7504 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
82 ms |
10324 KB |
Output is correct |
2 |
Incorrect |
87 ms |
9628 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
91 ms |
10064 KB |
Output is correct |
2 |
Correct |
92 ms |
8792 KB |
Output is correct |
3 |
Incorrect |
91 ms |
7632 KB |
Output isn't correct |
4 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
92 ms |
12112 KB |
Output is correct |
2 |
Incorrect |
102 ms |
11204 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
108 ms |
11820 KB |
Output is correct |
2 |
Correct |
118 ms |
9936 KB |
Output is correct |
3 |
Incorrect |
102 ms |
9776 KB |
Output isn't correct |
4 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
106 ms |
13860 KB |
Output is correct |
2 |
Incorrect |
121 ms |
12624 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
122 ms |
13392 KB |
Output is correct |
2 |
Correct |
142 ms |
11492 KB |
Output is correct |
3 |
Incorrect |
109 ms |
10840 KB |
Output isn't correct |
4 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
138 ms |
17120 KB |
Output is correct |
2 |
Incorrect |
144 ms |
15776 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
156 ms |
16724 KB |
Output is correct |
2 |
Correct |
147 ms |
14152 KB |
Output is correct |
3 |
Correct |
142 ms |
13904 KB |
Output is correct |
4 |
Correct |
214 ms |
19540 KB |
Output is correct |
5 |
Correct |
171 ms |
14932 KB |
Output is correct |