Submission #649953

#TimeUsernameProblemLanguageResultExecution timeMemory
649953ymmBalloons (CEOI11_bal)C++17
0 / 100
2084 ms4352 KiB
#include <bits/stdc++.h>
#define Loop(x,l,r) for (ll x = (l); x < (ll)(r); ++x)
#define LoopR(x,l,r) for (ll x = (r)-1; x >= (ll)(l); --x)
typedef long long ll;
typedef std::pair<int, int> pii;
typedef std::pair<ll , ll > pll;
using namespace std;

typedef pair<double, double> pdd;

pdd in()
{
	ll x, y;
	cin >> x >> y;
	return {x, y};
}

const int S = 4096;
const int N = S*50;

double a[N], b[N];
double x[N], r[N];
int len = 0;

void insert(pdd f)
{
	a[len] = f.first;
	b[len] = f.second;
	++len;
}

__attribute__((optimize("Ofast,unroll-loops"),target("avx2,fma")))
double get(double x, int l, int r)
{
	#define MIN(x, y) ((x)>(y)?(y):(x))
	double ans = 1e30;
	Loop (i,l,r) {
		double tmp = a[i]*x + b[i];
		ans = MIN(ans, tmp);
	}
	return ans;
	#undef MIN
}

int main()
{
	cin.tie(0) -> sync_with_stdio(false);
	cout << fixed << setprecision(3);
	int n;
	cin >> n;
	Loop (i,0,n) {
		auto [x, r] = in();
		r = sqrt(r);
		::x[i] = x;
		::r[i] = r;
	}
	for (int s = 0; s < n; s += S) {
		int f = s+S;
		Loop (i,s,f) {
			r[i] = min(r[i], get(x[i], s, i));
			cout << r[i]*r[i] << '\n';
			insert({0.5/r[i], -x[i]*0.5/r[i]});
		}
		Loop (i,f,n)
			r[i] = min(r[i], get(x[i], s, f));
	}
}
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