Submission #1026841

#	Time	Username	Problem	Language	Result	Execution time	Memory
1026841		PooyaDaftarian	Mobile (BOI12_mobile)	C++17	12 / 100	560 ms	8284 KiB

mobile

#include <bits/stdc++.h>

using namespace std;

typedef long long ll;
typedef pair<int, int> pii;
typedef long double ld;

#define all(x) x.begin(), x.end()
#define fast_io ios_base::sync_with_stdio(false); cin.tie(NULL)
#define file(x) freopen(x ".in", "r", stdin); freopen(x ".out", "w", stdout)
#define endl '\n'
#define pb push_back
#define ms(x, y) memset(x, y, sizeof x)
#define out(x) {cout << x << '\n'; return;}
#define ff first
#define ss second
#define sz(x) (int)(x).size()
#define int ll

int n, L;
vector<pii> a;

bool chk(ld x){
    ld mx = 0;
    for (int i = 0 ; i < n ; i++){
        ld d = sqrt(x*x - a[i].ss*a[i].ss);
        ld x = a[i].ff - d, y = a[i].ff + d;
        if (x <= mx) mx = max(mx, y);
    }
    return (mx < L);
}

int32_t main(){
    fast_io;
    cout << fixed << setprecision(14);
	cin >> n >> L;
    a.assign(n, {0, 0});
    for (int i = 0 ; i < n ; i++){
        int x, h; cin >> x >> h;
        a[i] = {x, h};
    }
    ld l = 0, r = 1e10, mid;
    for (int i = 0 ; i < 80 ; i++){
        mid = l + (r-l)/2;
        if (chk(mid)) l = mid;
        else r = mid;
    }
    cout << l << endl;
    return 0;
}

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