Submission #1097496

#	Time	Username	Problem	Language	Result	Execution time	Memory
1097496		StillOnQiCondensation	Mobile (BOI12_mobile)	C++14	0 / 100	323 ms	78600 KiB

mobile

#include <bits/stdc++.h>
using namespace std;
 
typedef long long ll;
typedef vector<int> vi;
typedef vector<ll> vll;
#define all(x) (x).begin(), (x).end()
#define inf 1000000007ll
#define llmax LLONG_MAX
#define pi 3.141592653589793238462643383279502884197169399
 
long long binpow(long long a, long long b) {
    long long res = 1;
    while (b > 0) {
        if (b & 1)
            res = res * a;
        a = a * a;
        b >>= 1;
    }
    return res;
}
ll ncr(int n, int r)
{
    if (n < r) return 0;
    long long p = 1, k = 1;
    if (n - r < r)
        r = n - r;
    if (r != 0) {
        while (r) {
            p *= n;
            k *= r;
            long long m = __gcd(p, k);
            p /= m;
            k /= m;
            n--;
            r--;
        }
    }
    else
        p = 1;
    return p;
}

vector <ll> vcreate(int n){
    vector <ll> v(n);
    for (int i = 0; i < n; i++)
    {
        cin>>v[i];
    }
    return v;
}
int dx[4]{1, -1, 0, 0}, dy[4]{0, 0, 1, -1};
const int MOD=998244353;
ll ModExp(ll x, ll n, ll m) {
	assert(n >= 0);
	x %= m;  // note: m * m must be less than 2^63 to avoid ll overflow
	ll res = 1;
	while (n > 0) {
		if (n % 2 == 1) { res = res * x % m; }
		x = x * x % m;
		n /= 2;
	}
	return res;
}

long double dist(pair<long double,long double> x, pair<long double, long double> y)
{
    return sqrtl((x.first-y.first)*(x.first-y.first) +(x.second-y.second)*(x.second-y.second));
}




int main()
{
    
    
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    /* freopen("prime_subtractorization_input.txt", "r", stdin);
    freopen("output.txt", "w", stdout);  */ 
   
    /*  ll T;
    cin>>T;
    
    for(ll oo=0; oo<T; oo++)
    {
   
    } */
     
    long double n{},l{};
    cin>>n>>l;
    vector<pair<long double,long double>> v(n);
    for(int i{0}; i<n; i++)
    {
        cin>>v[i].first>>v[i].second;
        v[i].second=abs(v[i].second);
    }
    
    vector<pair<long double,long double>> range(n,{0,l});
    stack<int> st;

    for(int i{0}; i<n; i++)
    {
        while(!st.empty())
        {
            pair<long double,long double> p;
            p=v[st.top()];
            long double cross=((p.first*p.first-v[i].first*v[i].first)+(p.second*p.second-v[i].second*v[i].second))/(2*p.first-2*v[i].first);

            if(cross<=range[st.top()].first)
            {
                st.pop();
            }
            else
            {
                range[st.top()].second=cross;
                range[i].first=cross;
                break;
            }
        }
        st.push(i);
    }
    
   /*  for(int i{0}; i<n; i++)
    {
        cout<<range[i].first<<" "<<range[i].second<<endl;
    } */
    long double ans=0;

    while(!st.empty())
    {
        long double d= dist(v[st.top()],{range[st.top()].first,0});
        long double e=dist(v[st.top()],{range[st.top()].second,0});
        ans=max(ans,d);
        ans=max(ans,e);
        st.pop();
    }
    cout<<fixed<<setprecision(6);
    cout<<ans<<endl;

   // cout<<dist({0,0},{4,3})<<endl;


    
   
}
       



   
   
    
 

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