# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
988335 | hegoplay | Balloons (CEOI11_bal) | C++14 | 141 ms | 15216 KiB |
This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
/*
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Michael Jackson peeks
"Nothing is hard to understand, you just didn't get it."
@author: MahK17
*/
#include <bits/stdc++.h>
#include <set>
#include <vector>
#include <algorithm>
#include <map>
#include <queue>
#include <stack>
#include <cmath>
#include <unordered_map>
#include <unordered_set>
#include <string>
#include <sstream>
#include <numeric>
#include <cstdio>
#include <cstring>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#define pb push_back
#define inf 0x3f3f3f3f3f3f3f3f
#define all(x) (x).begin(), (x).end()
#define yes cout << "YES\n";
#define no cout << "NO\n";
#define sz(x) (int)(x).size()
#define el "\n"
typedef long long ll;
typedef long double ld;
#define int long long
using namespace __gnu_pbds;
using namespace std;
#define indexed_set tree<int, null_type, less<int>, rb_tree_tag, tree_order_statistics_node_update>
void setIO(string name = "")
{
if (sz(name))
{
freopen((name + ".in").c_str(), "r", stdin); // see /general/input-output
freopen((name + ".out").c_str(), "w", stdout);
}
}
ld find(ld lb, ld x1, ld x2)
{
// binary search 4*lb*x = (x1-x2)**2
return (x1 - x2) * (x1 - x2) / (4 * lb);
}
void solve()
{
int n;
cin >> n;
vector<pair<ld, ld>> a(n);
for (int i = 0; i < n; i++)
{
cin >> a[i].first >> a[i].second;
}
stack<pair<ld, ld>> s;
for (int i = 0; i < n; i++)
{
ld curSize = 1e10;
ld firstLast = -1;
ld secondLast = -1;
while (!s.empty())
{
ld x1 = s.top().first;
ld x2 = a[i].first;
ld lb = s.top().second;
ld x = find(lb, x1, x2);
if (x < curSize)
{
firstLast = s.top().first;
secondLast = s.top().second;
s.pop();
curSize = x;
}
else
break;
}
if (firstLast != -1)
s.push({firstLast, secondLast});
s.push({a[i].first, min(curSize, a[i].second)});
printf("%.3Lf\n", min(curSize, a[i].second));
}
}
signed main()
{
ios ::sync_with_stdio(false);
std::cin.tie(nullptr);
ll t = 1;
// cin >> t;
while (t--)
solve();
return 0;
}
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