Submission #1271086

#	Time	Username	Problem	Language	Result	Execution time	Memory
1271086		nabeul001	Mobile (BOI12_mobile)	C++20	30 / 100	1097 ms	31852 KiB

mobile

//Indeed Hardship comes with ease [94:6]
//Man will not get anything unless he works hard  [53:39]
//ᴇᴀᴄʜ ᴘᴇʀꜱᴏɴ ᴡɪʟʟ ᴏɴʟʏ ʜᴀᴠᴇ ᴡʜᴀᴛ ᴛʜᴇʏ ᴇɴᴅᴇᴀᴠᴏᴜʀᴇᴅ ᴛᴏᴡᴀʀᴅꜱ [53:39]

#include <bits/stdc++.h>
using namespace std;

#define ll long long
#define all(a) a.begin(), a.end()
#define rall(a) a.rbegin(), a.rend()
#define ld long double

int main() {
    ios::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);
    cout << fixed << setprecision(4);   
    ll n;
    ld len;
    cin >> n >> len;
    vector<pair<ld,ld>>a(n);
    for(int i = 0; i < n; i++)
    {
        cin >> a[i].first >> a[i].second;
    }
    auto ok = [&](ld r)
    {
        ld currlen = 0;
        for(auto[x,y]:a)
        {
            ld del = sqrt(r*r-y*y);
            ld start = x-del;
            ld end = x+del;
            if(start<=currlen)
            {
                currlen = max(currlen,end);
            }
        }
        return currlen >=len;
    };
    ld diff = 1e-3;
    ld l = 1; ld r = 1e9;
    while(r-l>diff)
    {
        ld mid = (l+r)/2;
        if(ok(mid))
        {
            r=mid;
        }
        else
        {
            l=mid;
        }
    }
    cout << l << "\n";
    return 0;
}

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