Submission #303059

#TimeUsernameProblemLanguageResultExecution timeMemory
303059tutisCarnival Tickets (IOI20_tickets)C++17
62 / 100
1381 ms2097156 KiB
#include "tickets.h"
#include <vector>
#include <bits/stdc++.h>
using namespace std;
long long find_maximum(int k, vector<vector<int>> x) {
	int n = x.size();
	int m = x[0].size();
	vector<vector<int>> answer(n, vector<int>(m, -1));
	long long ret = 0;
	int mxp = n / 2 * k;
	pair<long long, int> mx[n + 1][mxp + 1];
	for (int i = 0; i <= n; i++)
		for (int j = 0; j <= mxp; j++)
			mx[i][j] = { -1e18, 0};
	long long del[n][k + 1];
	for (int i = 0; i < n; i++)
	{
		long long d = 0;
		for (int c = 0; c < k; c++)
			d -= x[i][c];
		for (int p = 0; p <= k; p++)
		{
			del[i][p] = d;
			d += x[i][k - 1 - p];
			d += x[i][m - 1 - p];
		}
	}
	mx[0][0] = {0, 0};
	for (int i = 1; i <= n; i++)
	{
		for (int a = 0; a <= mxp; a++)
		{
			int lo = 0;
			int hi = min(k, a);
			while (hi - lo + 1 >= 5)
			{
				int p = (lo + hi) / 2;
				int p1 = p + 1;
				long long v = mx[i - 1][a - p].first + del[i - 1][p];
				long long v1 = mx[i - 1][a - p1].first + del[i - 1][p1];
				if (v1 >= v)
					lo = p1;
				else
					hi = p;
			}
			for (int p = lo; p <= hi; p++)
			{
				mx[i][a] = max(mx[i][a], {mx[i - 1][a - p].first + del[i - 1][p], p});
			}
		}
	}
	int p = mxp;
	int M[n], P[n];
	ret = mx[n][p].first;
	for (int i = n - 1; i >= 0; i--)
	{
		int pp = mx[i + 1][p].second;
		p -= pp;
		P[i] = pp;
		M[i] = k - P[i];
	}
	int a[n];
	int b[n];
	for (int i = 0; i < n; i++)
	{
		a[i] = 0;
		b[i] = m - 1;
	}
	for (int g = 0; g < k; g++)
	{
		pair<int, int>x[n];
		for (int i = 0; i < n; i++)
			x[i] = {P[i], i};
		sort(x, x + n);
		for (int i = 0; i < n / 2; i++)
		{
			int id = x[i].second;
			answer[id][a[id]] = g;
			a[id]++;
			M[id]--;
		}
		for (int i = n / 2; i < n; i++)
		{
			int id = x[i].second;
			answer[id][b[id]] = g;
			b[id]--;
			P[id]--;
		}
	}
	allocate_tickets(answer);
	return ret;
}
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