Submission #958946

#	Time	Username	Problem	Language	Result	Execution time	Memory
958946		biximo	Mobile (BOI12_mobile)	C++17	0 / 100	638 ms	8260 KiB

mobile

#include <bits/stdc++.h>
#define N 1000005
using namespace std;
typedef long long ll;
typedef array<int, 2> p2;
typedef long double ld;
int n, L;
p2 seq[N];
bool check(ld d) {
	ld l=0,r=L;
	for(int i = 0; i < n; i ++) {
		auto[h,k] = seq[i];
		if(d*d-k*k < 0) return false;
		l = max(l,h-sqrt(d*d-k*k));
		r = min(r,h+sqrt(d*d-k*k));
	}
	return l <= r && r >= 0 && l <= L;
}
int main() {
    cin.tie(0)->sync_with_stdio(0);
    cin >> n >> L;
    for(int i = 0; i < n; i ++) {
    	cin >> seq[i][0] >> seq[i][1];
    }
    ld l=0,h=8e9,ans;
    for(int i = 0; i < 100; i++) {
    	ld m=(l+h)/2;
    	if(check(m)) {
    		ans = m;
    		h = m;
    	} else {
    		l = m;
    	}
    }
    cout << setprecision(15) << ans;
}

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