Submission #1077834

# Submission time Handle Problem Language Result Execution time Memory
1077834 2024-08-27T09:31:43 Z prvocislo Seesaw (JOI22_seesaw) C++17
100 / 100
94 ms 21992 KB
// I was grinning like I'm winning, I was hitting my marks
// 'Cause I can do it with a broken heart 
// 1 2 3 4 ...

#include <iostream>
#include <iomanip>
#include <vector>
#include <algorithm>
#include <queue>
#include <map>
#include <set>
#include <bitset>
typedef long long ll;
typedef long double ld;
using namespace std;

vector<ll> a, pf;

ld avg(int l, int r) { return (ld)(pf[r + 1] - pf[l]) / (ld)(r - l + 1); }

void chmax(ld& a, ld b) { a = max(a, b); }
void chmin(ld& a, ld b) { a = min(a, b); }

int main()
{
	ios::sync_with_stdio(false);
	cin.tie(0);
	int n;
	cin >> n;
	a.assign(n, 0), pf.assign(n + 1, 0);
	for (int i = 0; i < n; i++) cin >> a[i], pf[i + 1] = pf[i] + a[i];
	ld w = avg(0, n - 1);
	vector<pair<ld, int>> v;
	v.push_back({ avg(0, n - 1), n });
	v.push_back({ avg(0, n - 2), n - 1 });
	v.push_back({ avg(1, n - 1), n - 1 });
	int l = 0;
	for (int i = n - 2; i >= 1; i--)
	{
		if (avg(l + 1, l + i) <= w) l++;
		v.push_back({ avg(l, l + i - 1), i });
		v.push_back({ avg(l + 1, l + i), i });
	}
	ld ans = w;
	sort(v.begin(), v.end());
	vector<int> f(n + 1, 0);
	int cnt = 0, r = 0;
	for (int l = 0; l < v.size(); l++)
	{
		while (cnt < n && r < v.size())
		{
			if (!f[v[r].second]) cnt++;
			f[v[r].second]++;
			r++;
		}
		if (cnt == n) ans = min(ans, v[r - 1].first - v[l].first);
		f[v[l].second]--;
		if (!f[v[l].second]) cnt--;
	}
	cout << setprecision(9) << fixed;
	cout << ans << "\n";
	return 0;
}

Compilation message

seesaw.cpp: In function 'int main()':
seesaw.cpp:48:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<long double, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   48 |  for (int l = 0; l < v.size(); l++)
      |                  ~~^~~~~~~~~~
seesaw.cpp:50:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<long double, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   50 |   while (cnt < n && r < v.size())
      |                     ~~^~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 1 ms 860 KB Output is correct
9 Correct 1 ms 764 KB Output is correct
10 Correct 1 ms 604 KB Output is correct
11 Correct 1 ms 604 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 1 ms 860 KB Output is correct
9 Correct 1 ms 764 KB Output is correct
10 Correct 1 ms 604 KB Output is correct
11 Correct 1 ms 604 KB Output is correct
12 Correct 92 ms 21964 KB Output is correct
13 Correct 94 ms 21992 KB Output is correct
14 Correct 90 ms 21988 KB Output is correct
15 Correct 90 ms 21952 KB Output is correct
16 Correct 91 ms 21956 KB Output is correct