#include <bits/stdc++.h>
using namespace std;
#define fastio ios_base::sync_with_stdio(false);cin.tie(0)
#define mp make_pair
#define all(x) (x).begin(),(x).end()
#define rall(x) (x).rbegin(),(x).rend()
#define FOR(i,a,b) for(ll i=a;i<=b;i++)
#define FORB(i,a,b) for(ll i=a;i>=b;i--)
#define getbit(mask,i) ((mask>>(i))&1)
#define getnum(i) (1<<(i))
#define endl "\n"
#define sz(x) (int)size(x)
#define mp make_pair
using ll = long long;
const ll MOD1 = 1e9+7;
const ll MOD2 = 998244353;
const ll MN = 1e5;
//first true float/double
long double FLOAT_ERR = 1e-5;
long double first_true_float(long double lo, long double hi, function<bool(long double)> f) {
// if none of the values in the range work, return hi + 1
lo--;
hi++;
while (hi-lo > FLOAT_ERR) {
long double mid = (lo + hi) / 2.0f;
if (f(mid)) {
hi = mid;
} else {
lo = mid;
}
}
return lo;
}
int main() {
fastio;
//freopen("XXX.in","r",stdin);
// freopen("XXX.out","w",stdout);
ll N, L;
cin >> N >> L;
vector<pair<ll, ll>> stations(N);
FOR(i,0,N-1) {
ll y;
cin >> stations[i].first >> y;
stations[i].second = y*y;
}
long double ans = first_true_float(1, 1.5e9, [&](long double mid) {
long double mx=0;
long double dd=mid*mid, xx;
for(auto station:stations) {
if(dd-station.second<0) continue;
xx=sqrt(dd-station.second);
if(station.first-xx<=mx)
mx = max(mx, station.first+xx);
}
return mx>=L;
});
cout << fixed << setprecision(6) << ans << endl;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 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 |
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 |
0 ms |
212 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
2 ms |
384 KB |
Output is correct |
3 |
Correct |
1 ms |
328 KB |
Output is correct |
4 |
Correct |
2 ms |
328 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
396 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 |
460 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
340 KB |
Output is correct |
2 |
Correct |
3 ms |
340 KB |
Output is correct |
3 |
Correct |
2 ms |
340 KB |
Output is correct |
4 |
Correct |
3 ms |
460 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
340 KB |
Output is correct |
2 |
Correct |
3 ms |
460 KB |
Output is correct |
3 |
Correct |
2 ms |
340 KB |
Output is correct |
4 |
Correct |
2 ms |
464 KB |
Output is correct |
5 |
Correct |
2 ms |
340 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
38 ms |
1492 KB |
Output is correct |
2 |
Correct |
28 ms |
1620 KB |
Output is correct |
3 |
Correct |
18 ms |
1236 KB |
Output is correct |
4 |
Correct |
23 ms |
1632 KB |
Output is correct |
5 |
Correct |
15 ms |
1220 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
28 ms |
1492 KB |
Output is correct |
2 |
Correct |
27 ms |
1492 KB |
Output is correct |
3 |
Correct |
30 ms |
1620 KB |
Output is correct |
4 |
Correct |
28 ms |
1608 KB |
Output is correct |
5 |
Correct |
25 ms |
1748 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
30 ms |
1620 KB |
Output is correct |
2 |
Correct |
32 ms |
1620 KB |
Output is correct |
3 |
Correct |
38 ms |
1668 KB |
Output is correct |
4 |
Correct |
34 ms |
1928 KB |
Output is correct |
5 |
Correct |
26 ms |
1748 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
37 ms |
1876 KB |
Output is correct |
2 |
Correct |
39 ms |
2004 KB |
Output is correct |
3 |
Correct |
32 ms |
1908 KB |
Output is correct |
4 |
Correct |
32 ms |
2004 KB |
Output is correct |
5 |
Correct |
29 ms |
1992 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
39 ms |
1876 KB |
Output is correct |
2 |
Correct |
37 ms |
1876 KB |
Output is correct |
3 |
Correct |
34 ms |
2004 KB |
Output is correct |
4 |
Correct |
30 ms |
1996 KB |
Output is correct |
5 |
Correct |
33 ms |
1904 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
176 ms |
8148 KB |
Output is correct |
2 |
Correct |
183 ms |
8148 KB |
Output is correct |
3 |
Correct |
181 ms |
8148 KB |
Output is correct |
4 |
Correct |
143 ms |
8148 KB |
Output is correct |
5 |
Correct |
142 ms |
8284 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
188 ms |
8148 KB |
Output is correct |
2 |
Correct |
244 ms |
8148 KB |
Output is correct |
3 |
Correct |
176 ms |
8280 KB |
Output is correct |
4 |
Correct |
145 ms |
8260 KB |
Output is correct |
5 |
Correct |
139 ms |
8224 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
205 ms |
9684 KB |
Output is correct |
2 |
Correct |
244 ms |
9684 KB |
Output is correct |
3 |
Correct |
237 ms |
9804 KB |
Output is correct |
4 |
Correct |
173 ms |
9812 KB |
Output is correct |
5 |
Correct |
173 ms |
9836 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
224 ms |
9684 KB |
Output is correct |
2 |
Correct |
281 ms |
9684 KB |
Output is correct |
3 |
Correct |
195 ms |
9812 KB |
Output is correct |
4 |
Correct |
181 ms |
9756 KB |
Output is correct |
5 |
Correct |
167 ms |
9812 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
244 ms |
11220 KB |
Output is correct |
2 |
Correct |
279 ms |
11220 KB |
Output is correct |
3 |
Correct |
252 ms |
11288 KB |
Output is correct |
4 |
Correct |
233 ms |
11348 KB |
Output is correct |
5 |
Correct |
199 ms |
11392 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
278 ms |
11220 KB |
Output is correct |
2 |
Correct |
341 ms |
11220 KB |
Output is correct |
3 |
Correct |
222 ms |
11352 KB |
Output is correct |
4 |
Correct |
211 ms |
11296 KB |
Output is correct |
5 |
Correct |
212 ms |
11348 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
291 ms |
12756 KB |
Output is correct |
2 |
Correct |
297 ms |
12756 KB |
Output is correct |
3 |
Correct |
285 ms |
12876 KB |
Output is correct |
4 |
Correct |
250 ms |
12884 KB |
Output is correct |
5 |
Correct |
225 ms |
12884 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
311 ms |
12756 KB |
Output is correct |
2 |
Correct |
381 ms |
12756 KB |
Output is correct |
3 |
Correct |
268 ms |
12884 KB |
Output is correct |
4 |
Correct |
235 ms |
12872 KB |
Output is correct |
5 |
Correct |
225 ms |
12884 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
356 ms |
15956 KB |
Output is correct |
2 |
Correct |
376 ms |
15896 KB |
Output is correct |
3 |
Correct |
359 ms |
16016 KB |
Output is correct |
4 |
Correct |
314 ms |
15956 KB |
Output is correct |
5 |
Correct |
283 ms |
16000 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
410 ms |
15956 KB |
Output is correct |
2 |
Correct |
460 ms |
15956 KB |
Output is correct |
3 |
Correct |
346 ms |
16084 KB |
Output is correct |
4 |
Correct |
290 ms |
15956 KB |
Output is correct |
5 |
Correct |
287 ms |
15956 KB |
Output is correct |