Submission #1093734

#	Time	Username	Problem	Language	Result	Execution time	Memory
1093734		michified	Mobile (BOI12_mobile)	C++17	50 / 100	1077 ms	51284 KiB

mobile

#include <bits/stdc++.h>
#define ll long long
#define ld long double
#define lid id * 2 + 1
#define rid id * 2 + 2
using namespace std;

const ll mod = 1e9 + 7;

struct coord_t {
    ld x, y;
};

bool all(ld rad, ld l, vector<coord_t>& towers) {
    ld cur = 0, radsq = rad * rad;
    for (auto& t : towers) {
        if (t.y > rad) continue;
        ld horiz = sqrt(radsq - (t.y * t.y));
        if (t.x - horiz > cur) continue;
        cur = max(cur, t.x + horiz);
    }
    return cur >= l;
}

int main() {
    // ifstream cin("valleys.in");
    // ofstream cout("valleys.out");
    
    ld n, L, i, tx, ty;
    cin >> n >> L;
    vector<coord_t> towers(n);
    for (i = 0; i < n; i++) {
        cin >> tx >> ty;
        towers[i] = {tx, ty};
    }
    ld l = 0, r = 2e9, tol = 0.000001;
    while (l < r - tol) {
        ld mid = (l + r) / 2;
        if (not all(mid, L, towers)) l = mid;
        else r = mid - tol;
    }
    cout << setprecision(10) << l;
    return 0;
}

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