//Binary search the shortest length from the firehose
#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;
const ll MAX = LLONG_MAX;
long double FLOAT_ERR = 1e-7;
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);
int N;
long double L;
cin >> N >> L;
vector<pair<long double,long double>> input(N);
for(int i=0; i<N; i++){
cin >> input[i].first >> input[i].second;
}
sort(input.begin(), input.end());
cout << setprecision(7)<<first_true_float(1, 1.5e9, [&](long double x){
long double left = 0;
FOR(i,0,N-1){
if(x*x < input[i].second*input[i].second){
continue;
}
long double diviation = sqrt(x*x - input[i].second*input[i].second);
if((input[i].first-diviation) <= left){
left =max(left, input[i].first+diviation);
}
}
return left >= L;
}) << endl;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 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 |
316 KB |
Output is correct |
# |
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 |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
340 KB |
Output is correct |
2 |
Correct |
2 ms |
340 KB |
Output is correct |
3 |
Correct |
2 ms |
340 KB |
Output is correct |
4 |
Incorrect |
3 ms |
340 KB |
Output isn't correct |
5 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
4 ms |
468 KB |
Output is correct |
2 |
Incorrect |
5 ms |
468 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
4 ms |
468 KB |
Output is correct |
2 |
Incorrect |
5 ms |
468 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
4 ms |
468 KB |
Output is correct |
2 |
Incorrect |
4 ms |
468 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
73 ms |
2644 KB |
Output is correct |
2 |
Incorrect |
64 ms |
3736 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
54 ms |
2772 KB |
Output is correct |
2 |
Correct |
51 ms |
3288 KB |
Output is correct |
3 |
Correct |
59 ms |
3872 KB |
Output is correct |
4 |
Incorrect |
60 ms |
3952 KB |
Output isn't correct |
5 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
66 ms |
3028 KB |
Output is correct |
2 |
Incorrect |
69 ms |
2900 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
84 ms |
3412 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
88 ms |
3412 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
400 ms |
16000 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
441 ms |
15956 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
475 ms |
19028 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
530 ms |
19028 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
567 ms |
22216 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
611 ms |
22156 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
638 ms |
25412 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
700 ms |
25280 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
799 ms |
31600 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
892 ms |
31572 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |