#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef __int128 lll;
typedef long double ld;
typedef pair<ll, ll> pll;
typedef pair<ld, ld> pld;
#define MAX 9223372036854775807LL
#define MIN -9223372036854775807LL
#define INF 0x3f3f3f3f3f3f3f3f
#define fi first
#define se second
#define fastio ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); cout << fixed; cout.precision(10);
#define sp << " "
#define en << "\n"
#define compress(v) sort(v.begin(), v.end()), v.erase(unique(v.begin(), v.end()), v.end())
struct gujo
{
ll ja, mo;
bool operator < (const gujo &xx) const
{
return ja * xx.mo < xx.ja * mo;
}
};
ll n;
ll a[200010];
ll nu[200010];
ll L[200010];
gujo gap[200010];
ld ans = INF;
set<gujo> st;
pair<gujo, ll> b[200010];
int main(void)
{
fastio
cin >> n;
for(ll i = 1 ; i <= n ; i++)
{
cin >> a[i];
nu[i] = nu[i - 1] + a[i];
}
if(n == 1)
{
cout << 0;
return 0;
}
for(ll len = 0 ; len < n - 1 ; len++)
{
ll l = 1, r = n - len;
while(l <= r)
{
ll mid = (l + r) >> 1;
if((nu[mid + len] - nu[mid - 1]) * n >= nu[n] * (len + 1))
r = mid - 1;
else
l = mid + 1;
}
L[len] = r;
}
ll cc = 0;
for(ll i = 0 ; i < n - 1 ; i++)
{
if(L[i] == n - i)
gap[i] = {-1, 1};
else
gap[i] = {nu[L[i] + 1 + i] - nu[L[i]], i + 1};
st.insert(gap[i]);
if(L[i] >= 1)
b[cc++] = {{nu[L[i] + i] - nu[L[i] - 1], i + 1}, i};
}
sort(b, b + cc);
reverse(b, b + cc);
st.insert({nu[n], n});
gujo gapp = (*st.rbegin());
if(gapp.ja != -1)
ans = min(ans, (ld)gapp.ja / (ld)gapp.mo - (ld)nu[n] / (ld)n);
for(ll i = 0 ; i < cc ; i++)
{
st.erase(gap[b[i].se]);
st.insert(b[i].fi);
gapp = (*st.rbegin());
ans = min(ans, (ld)gapp.ja / (ld)gapp.mo - (ld)b[i].fi.ja / (ld)b[i].fi.mo);
}
cout << ans;
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
6492 KB |
Output is correct |
2 |
Correct |
1 ms |
6488 KB |
Output is correct |
3 |
Correct |
1 ms |
6492 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
6492 KB |
Output is correct |
2 |
Correct |
1 ms |
6488 KB |
Output is correct |
3 |
Correct |
1 ms |
6492 KB |
Output is correct |
4 |
Correct |
2 ms |
6492 KB |
Output is correct |
5 |
Correct |
1 ms |
6492 KB |
Output is correct |
6 |
Correct |
1 ms |
6492 KB |
Output is correct |
7 |
Correct |
2 ms |
6492 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
6492 KB |
Output is correct |
2 |
Correct |
1 ms |
6488 KB |
Output is correct |
3 |
Correct |
1 ms |
6492 KB |
Output is correct |
4 |
Correct |
2 ms |
6492 KB |
Output is correct |
5 |
Correct |
1 ms |
6492 KB |
Output is correct |
6 |
Correct |
1 ms |
6492 KB |
Output is correct |
7 |
Correct |
2 ms |
6492 KB |
Output is correct |
8 |
Correct |
2 ms |
6744 KB |
Output is correct |
9 |
Correct |
2 ms |
6748 KB |
Output is correct |
10 |
Correct |
2 ms |
6744 KB |
Output is correct |
11 |
Correct |
2 ms |
6748 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
6492 KB |
Output is correct |
2 |
Correct |
1 ms |
6488 KB |
Output is correct |
3 |
Correct |
1 ms |
6492 KB |
Output is correct |
4 |
Correct |
2 ms |
6492 KB |
Output is correct |
5 |
Correct |
1 ms |
6492 KB |
Output is correct |
6 |
Correct |
1 ms |
6492 KB |
Output is correct |
7 |
Correct |
2 ms |
6492 KB |
Output is correct |
8 |
Correct |
2 ms |
6744 KB |
Output is correct |
9 |
Correct |
2 ms |
6748 KB |
Output is correct |
10 |
Correct |
2 ms |
6744 KB |
Output is correct |
11 |
Correct |
2 ms |
6748 KB |
Output is correct |
12 |
Incorrect |
178 ms |
26708 KB |
Output isn't correct |
13 |
Halted |
0 ms |
0 KB |
- |