이 제출은 이전 버전의 oj.uz에서 채점하였습니다. 현재는 제출 당시와는 다른 서버에서 채점을 하기 때문에, 다시 제출하면 결과가 달라질 수도 있습니다.
///0-0 : what is your motivation, quan606303?
///quan606303 : Hutao
/*idea :
*/
#include <bits/stdc++.h>
#define int long long
#define ll long long
#define INTMAX INT_MAX
#define INTMIN INT_MIN
#define LONGMAX LLONG_MAX
#define LONGMIN LLONG_MIN
#define fi first
#define se second
#define memfull(a,b) memset(a,b,sizeof(a));
#define endl '\n'
#define file(a) freopen(a".inp","r",stdin); freopen(a".out","w",stdout);
using namespace std;
const int MOD=1e9+7;
const int maxn=200005;
pair<double,double> a[maxn];
int n;
double ans[maxn];
double sqr(long double k)
{
return k*k;
}
double cal(pair< double, double> x, double pos)
{
return sqr(pos-x.fi)/(4*x.se);
}
void solve()
{
stack<pair< double, double> > st;
//st.push()
for (int i=1;i<=n;i++)
{
double r=a[i].se;
while (st.size())
{
double cnt=cal(st.top(),a[i].fi);
r=min(r,cnt);
if (cnt>=st.top().se)st.pop();
else break;
}
ans[i]=r;
st.push({a[i].fi,ans[i]});
}
for (int i=1;i<=n;i++)cout<<setprecision(3)<<fixed<<ans[i]<<endl;
}
int32_t main()
{
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
//file("");
cin>>n;
for (int i=1;i<=n;i++)cin>>a[i].fi>>a[i].se;
solve();
return 0;
}
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