// Source: https://usaco.guide/general/io
#include <bits/stdc++.h>
using namespace std;
#define int long long
#define f first
#define s second
#define mp make_pair
constexpr int MAX_C = 1.5e9;
constexpr int MAX_N = 1e6;
using pi = pair<int, int>;
using pd = pair<double, double>;
int n, l;
pi towers[MAX_N];
bool check(double p) {
// cout << "Called: " << p << endl;
double best = 0;
for(int i = 0; i < n; ++i) {
if(abs(towers[i].s) >= p) continue;
double dist = sqrt(p * p - towers[i].s * towers[i].s);
double d1 = towers[i].f - dist, d2 = towers[i].f + dist;
if(d1 <= best) best = max(best, d2);
}
if(best > l) return true;
return false;
}
signed main() {
ios::sync_with_stdio(false); cin.tie(nullptr);
cin >> n >> l;
for(int i = 0; i < n; ++i) cin >> towers[i].f >> towers[i].s;
double le = 1e-4, r = MAX_C;
while(r - le >= 1e-3) {
double mid = (le + r) / 2;
if(check(mid)) r = mid;
else le = mid;
}
cout.precision(4);
cout << fixed << le << '\n';
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
388 KB |
Output is correct |
2 |
Correct |
2 ms |
468 KB |
Output is correct |
3 |
Correct |
2 ms |
340 KB |
Output is correct |
4 |
Correct |
2 ms |
468 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
340 KB |
Output is correct |
2 |
Correct |
3 ms |
468 KB |
Output is correct |
3 |
Correct |
2 ms |
340 KB |
Output is correct |
4 |
Correct |
2 ms |
408 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
336 KB |
Output is correct |
2 |
Correct |
2 ms |
468 KB |
Output is correct |
3 |
Correct |
2 ms |
340 KB |
Output is correct |
4 |
Correct |
2 ms |
460 KB |
Output is correct |
5 |
Correct |
2 ms |
340 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
27 ms |
2248 KB |
Output is correct |
2 |
Correct |
25 ms |
2308 KB |
Output is correct |
3 |
Correct |
15 ms |
1688 KB |
Output is correct |
4 |
Correct |
23 ms |
2316 KB |
Output is correct |
5 |
Correct |
13 ms |
1492 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
20 ms |
2256 KB |
Output is correct |
2 |
Correct |
20 ms |
2228 KB |
Output is correct |
3 |
Correct |
30 ms |
2488 KB |
Output is correct |
4 |
Correct |
23 ms |
2400 KB |
Output is correct |
5 |
Correct |
25 ms |
2564 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
26 ms |
2336 KB |
Output is correct |
2 |
Correct |
27 ms |
2476 KB |
Output is correct |
3 |
Correct |
25 ms |
2432 KB |
Output is correct |
4 |
Correct |
31 ms |
2636 KB |
Output is correct |
5 |
Correct |
23 ms |
2468 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
33 ms |
2560 KB |
Output is correct |
2 |
Correct |
31 ms |
2696 KB |
Output is correct |
3 |
Correct |
27 ms |
2864 KB |
Output is correct |
4 |
Correct |
29 ms |
2556 KB |
Output is correct |
5 |
Correct |
26 ms |
2636 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
33 ms |
2640 KB |
Output is correct |
2 |
Correct |
32 ms |
2692 KB |
Output is correct |
3 |
Correct |
28 ms |
2688 KB |
Output is correct |
4 |
Correct |
30 ms |
2508 KB |
Output is correct |
5 |
Correct |
26 ms |
2472 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
134 ms |
8904 KB |
Output is correct |
2 |
Correct |
157 ms |
9528 KB |
Output is correct |
3 |
Correct |
156 ms |
9764 KB |
Output is correct |
4 |
Correct |
136 ms |
9592 KB |
Output is correct |
5 |
Correct |
125 ms |
9020 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
158 ms |
9312 KB |
Output is correct |
2 |
Correct |
196 ms |
9288 KB |
Output is correct |
3 |
Correct |
126 ms |
8944 KB |
Output is correct |
4 |
Correct |
135 ms |
9136 KB |
Output is correct |
5 |
Correct |
126 ms |
9004 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
157 ms |
10348 KB |
Output is correct |
2 |
Correct |
187 ms |
10476 KB |
Output is correct |
3 |
Correct |
179 ms |
10300 KB |
Output is correct |
4 |
Correct |
168 ms |
10368 KB |
Output is correct |
5 |
Correct |
155 ms |
10104 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
186 ms |
10088 KB |
Output is correct |
2 |
Correct |
233 ms |
9992 KB |
Output is correct |
3 |
Correct |
154 ms |
10084 KB |
Output is correct |
4 |
Correct |
155 ms |
9712 KB |
Output is correct |
5 |
Correct |
152 ms |
9804 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
187 ms |
11264 KB |
Output is correct |
2 |
Correct |
211 ms |
11264 KB |
Output is correct |
3 |
Correct |
206 ms |
11408 KB |
Output is correct |
4 |
Correct |
189 ms |
11400 KB |
Output is correct |
5 |
Correct |
170 ms |
11376 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
216 ms |
11180 KB |
Output is correct |
2 |
Correct |
261 ms |
11264 KB |
Output is correct |
3 |
Correct |
183 ms |
11212 KB |
Output is correct |
4 |
Correct |
182 ms |
11156 KB |
Output is correct |
5 |
Correct |
201 ms |
11332 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
206 ms |
12812 KB |
Output is correct |
2 |
Correct |
248 ms |
12876 KB |
Output is correct |
3 |
Correct |
241 ms |
12856 KB |
Output is correct |
4 |
Correct |
215 ms |
13180 KB |
Output is correct |
5 |
Correct |
205 ms |
13216 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
258 ms |
13132 KB |
Output is correct |
2 |
Correct |
298 ms |
13220 KB |
Output is correct |
3 |
Correct |
217 ms |
13320 KB |
Output is correct |
4 |
Correct |
212 ms |
13184 KB |
Output is correct |
5 |
Correct |
204 ms |
13200 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
272 ms |
16696 KB |
Output is correct |
2 |
Correct |
313 ms |
16640 KB |
Output is correct |
3 |
Correct |
300 ms |
16544 KB |
Output is correct |
4 |
Correct |
266 ms |
16332 KB |
Output is correct |
5 |
Correct |
263 ms |
17080 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
313 ms |
17092 KB |
Output is correct |
2 |
Correct |
355 ms |
16968 KB |
Output is correct |
3 |
Correct |
271 ms |
16944 KB |
Output is correct |
4 |
Correct |
272 ms |
16592 KB |
Output is correct |
5 |
Correct |
251 ms |
16936 KB |
Output is correct |