제출 #639654

#제출 시각아이디문제언어결과실행 시간메모리
639654luanaamorimK개의 묶음 (IZhO14_blocks)C++14
0 / 100
15 ms32212 KiB
#include <iostream>
#include <queue>
#include <string>
#include <algorithm>
#include <vector>
#include <cmath>
#include <iomanip>
#include <map>
#include <cstring>
#include <set>
#include <stack>
#include <bitset>
#define MAX (int) 2e3
#define ll long long
#define INF (ll) 1e9
#define dbug(x) cout << #x << ' ' << x << endl

using namespace std;

ll n, m, arr[MAX], memo[MAX][MAX], maior[MAX][MAX], l, r, resp;
pair<ll, ll> dp[MAX][101];

ll f(int i, int k)
{
	if (k < 0) return INF;
	if (i > n) return (k?INF:0);
	if (~memo[i][k]) return memo[i][k];
	ll resp = INF;
	for (int j = i; j <= n; j++)
		resp = min(resp, f(j+1, k-1) + maior[i][j]);
 
	return memo[i][k] = resp;
}

void dct(int i, int j, int l, int r, int k)
{
	if (i > j) return;
	int mid = (i+j)>>1;
	dp[mid][k] = {INF, r+1};
	for (int idx = mid; idx <= r; idx++)
		dp[mid][k] = min(dp[mid][k], {dp[idx+1][k-1].first + maior[mid][idx], -idx});

	int optmid = -dp[mid][k].second;
	dct(i, mid-1, optmid, r, k);
	dct(mid+1, j, l, optmid, k); 
}

int main()
{
	cin >> n >> m;
	for (int i = 1; i <= n; i++)
	{
		cin >> arr[i];
		// arr[i]%=1000000;
		// cout << arr[i] << ' ';
	}
	// cout << endl;

	for (int i = 1; i <= n; i++)
		for (int j = i; j <= n; j++)
			maior[i][j] = max(arr[j], maior[i][j-1]);
 
 	for (int i = 0; i <= n+1; i++)
		for (int j = 0; j <= m; j++)
			dp[i][j] = {INF, -1};
 
 	dp[n+1][0] = {0, 0};
	// for (int i = n; i >= 1; i--)
	// {
	// 	for (int k = 1; k <= m; k++)
	// 	{
	// 		dp[i][k] = {INF, i};
	// 		for (int j = n; j >= i; j--)
	// 			dp[i][k] = min(dp[i][k], {dp[j+1][k-1].first + maior[i][j], j});
	// 	}
	// }

 	memset(memo, -1, sizeof memo);
 	// f(1, m);
	for (int i = 1; i <= m; i++)
	{
		dct(1, n, 1, n, i);
		if (dp[1][i].first != f(1, i)) cout <<i << endl;
		// for (int j = 1; j <= n; j++)
		// {
		// 	if (memo[j][i] == -1) memo[j][i] = INF;
		// 	if (memo[j][i] != dp[j][i].first)
		// 	{
		// 		dbug(dp[j][i].first);
		// 		// dbug(i);
		// 	}
		// }
		// cout << endl;
	}

	cout << dp[1][m].first  << endl;


}	






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