[HihoCoder]#1044 : 状态压缩·一

// problem1044.cpp : 定义控制台应用程序的入口点。
// #1044 : 状态压缩·一
// http://hihocoder.com/problemset/problem/1044 // 张正义 2016-04-18

#include "stdafx.h"

#include <iostream>
#include <algorithm>
using namespace std;

int dp[2][1<<10];
int data[1001];
bool state[1 << 10];

int main()
{
int N, M, Q;
cin >> N >> M >> Q;
for (int i = 1; i <= N; i++)
cin >> data[i];

for (int i = 0; i < (1 << M); i++)
{
int bitcount = 0;
int value = i;
while (value)
{
bitcount += value & 1;
value = value >> 1;
}
state[i] = (bitcount <= Q);
}

int flag = 0;
for (int i = 1; i <= N; i++)
{
flag = 1 - flag;
for (int j = 0; j < (1 << M); j ++)
{
if (state[j])
{
int index1 = (j >> 1);
int index2 = index1 + (1 << (M - 1));
if (j & 1)
{
dp[flag][j] = max(dp[1 - flag][index1], dp[1 - flag][index2]) + data[i];
}
else
{
dp[flag][j] = max(dp[1 - flag][index1], dp[1 - flag][index2]);
}
}
}
}
int result = 0;
for (int j = 0; j < (1 << M); j++)
result = max(result, dp[flag][j]);
cout << result << endl;

return 0;
}