oj.uz

Submission #916871

# Submission time Handle Problem Language Result Execution time Memory
916871 2024-01-26T16:20:45 Z denniskim Seesaw (JOI22_seesaw) C++17
100 / 100
 225 ms 27424 KB 
#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 (ld)ja / (ld)mo < (ld)xx.ja / (ld)xx.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((ld)(nu[mid + len] - nu[mid - 1]) / (ld)(len + 1) >= (ld)nu[n] / (ld)n)
				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;
}

Subtask #1
1.0 / 1.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 6492 KB Output is correct
2 Correct 1 ms 6488 KB Output is correct
3 Correct 2 ms 6744 KB Output is correct

Subtask #2
33.0 / 33.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 6492 KB Output is correct
2 Correct 1 ms 6488 KB Output is correct
3 Correct 2 ms 6744 KB Output is correct
4 Correct 2 ms 6492 KB Output is correct
5 Correct 1 ms 6492 KB Output is correct
6 Correct 2 ms 6492 KB Output is correct
7 Correct 2 ms 6492 KB Output is correct

Subtask #3
33.0 / 33.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 6492 KB Output is correct
2 Correct 1 ms 6488 KB Output is correct
3 Correct 2 ms 6744 KB Output is correct
4 Correct 2 ms 6492 KB Output is correct
5 Correct 1 ms 6492 KB Output is correct
6 Correct 2 ms 6492 KB Output is correct
7 Correct 2 ms 6492 KB Output is correct
8 Correct 3 ms 6748 KB Output is correct
9 Correct 3 ms 6748 KB Output is correct
10 Correct 2 ms 6748 KB Output is correct
11 Correct 2 ms 6748 KB Output is correct

Subtask #4
33.0 / 33.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 6492 KB Output is correct
2 Correct 1 ms 6488 KB Output is correct
3 Correct 2 ms 6744 KB Output is correct
4 Correct 2 ms 6492 KB Output is correct
5 Correct 1 ms 6492 KB Output is correct
6 Correct 2 ms 6492 KB Output is correct
7 Correct 2 ms 6492 KB Output is correct
8 Correct 3 ms 6748 KB Output is correct
9 Correct 3 ms 6748 KB Output is correct
10 Correct 2 ms 6748 KB Output is correct
11 Correct 2 ms 6748 KB Output is correct
12 Correct 224 ms 25480 KB Output is correct
13 Correct 212 ms 27424 KB Output is correct
14 Correct 223 ms 27252 KB Output is correct
15 Correct 225 ms 27220 KB Output is correct
16 Correct 207 ms 27316 KB Output is correct