Submission #1101199

#TimeUsernameProblemLanguageResultExecution timeMemory
1101199zyadhanyMobile (BOI12_mobile)C++17
100 / 100
648 ms16120 KiB
#define _CRT_SECURE_NO_WARNINGS
#include <bits/stdc++.h>
#include <unordered_map>
#include <unordered_set>

#define ll long long
#define ld long double
#define pl pair<ll, ll>
#define vi vector<ll>
#define vii vector<vi>
#define vc vector<char>
#define vcc vector<vc>
#define vp vector<pl>
#define mi map<ll,ll>
#define mc map<char,ll>
#define sortx(X) sort(X.begin(),X.end());
#define all(X) X.begin(),X.end()
#define ln '\n'
#define YES {cout << "YES\n"; return;}
#define NO {cout << "NO\n"; return;}
#define MUN {cout << "-1\n"; return;}

const int MODE = 1e9 + 7;

using namespace std;


void solve(int tc) {
    ll n, len;

    cin >> n >> len;

    vp X(n);
    for (int i = 0; i < n; i++)
        cin >> X[i].first >> X[i].second;    

    ld l = 0, r = 1e12;
    ld err = 1e-6;
    while (r - l > err)
    {
        double mid = (l + r) / 2, curr = 0;
		for (int i = 0; i < n; i++) {
			double delta = sqrt(mid * mid - X[i].second * X[i].second);
			double a = X[i].first - delta, b = X[i].first + delta;
			if (a <= curr) curr = max(curr, b);
		}

		if (curr >= len) r = mid;
		else l = mid;
    }
    
    cout << fixed << setprecision(6) << l << '\n';
}

int main()
{
    ios_base::sync_with_stdio(false), cin.tie(nullptr), cout.tie(nullptr);
    int size = 1;

    //freopen("loan.in", "r", stdin);
    //freopen("loan.out", "w", stdout);
    
    //cin >> size;
    for (int i = 1; i <= size; i++) solve(i);
}
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