HDU 1074 狀態壓縮DP

/****************************************************************************************************
    狀態壓縮DP,亂搞搞出來的。。。用二進制位壓縮狀態,例如101表示第2,0個作業已經做了,第1個作業還沒做的狀態,那麼
顯然應該從100或者001推101,那麼就用個&啊,^啊,算啊。。。然後就是裸DP了,記得記錄路徑就是了
****************************************************************************************************/
#include <iostream>
#include <iomanip>
#include <functional>
#include <algorithm>
#include <complex>
#include <cstdlib>
#include <cstring>
#include <fstream>
#include <sstream>
#include <utility>
#include <bitset>
#include <cctype>
#include <cstdio>
#include <limits>
#include <memory>
#include <string>
#include <vector>
#include <cmath>
#include <ctime>
#include <queue>
#include <stack>
#include <list>
#include <map>
#include <set>
using namespace std;

#define LOWBIT(x) ( (x) & ( (x) ^ ( (x) - 1 ) ) )
#define CLR(x, k) memset((x), (k), sizeof(x))
#define CPY(t, s) memcpy((t), (s), sizeof(s))
#define SC(t, s) static_cast<t>(s)
#define LEN(s) static_cast<int>( strlen((s)) )
#define SZ(s) static_cast<int>( (s).size() )

typedef double LF;
//typedef long long LL;		//GNU C++
//typedef unsigned long long ULL;
typedef __int64 LL;		//Visual C++ 2010
typedef unsigned __int64 ULL;

typedef pair<int, int> PII;
typedef pair<LL, LL> PLL;
typedef pair<double, double> PDD;

typedef map<int, int>::iterator MI;
typedef vector<int>::iterator VI;
typedef list<int>::iterator LI;
typedef set<int>::iterator SI;

template <typename T>
T sqa(const T &x)
{
	return x * x;
}
template <typename T>
T gcd(T a, T b)
{
	if (!a || !b)
	{
		return max(a, b);
	}
	T t;
	while (t = a % b)
	{
		a = b;
		b = t;
	}
	return b;
}
template <typename T>
T ext_gcd(T a, T b, T &x, T &y)
{
	if (!b)
	{
		x = 1;
		y = 0;
		return a;
	}
	T d = ext_gcd(b, a % b, x, y);
	T t = x;					
	x = y;
	y = t - a / b * y;
	return d;
}
template <typename T>
T invmod(T a, T p)
{
	LL inv, y;
	ext_gcd(a, p, inv, y);
	inv < 0 ? inv += p : 0; 
	return inv;
}

const int INF_INT = 0x3f3f3f3f;
const LL INF_LL = 0x7fffffffffffffffLL;		//15f
const double oo = 10e9;
const double eps = 10e-7;
const double PI = acos(-1.0);

#define ONLINE_JUDGE

const int MAXN = 16;

int test, n;
struct Node
{
	string name;
	int d, c;
}nd[MAXN];
struct DP
{
	int val;
	int day;
	int pre, id;
}dp[1 << MAXN];

void ace()
{
	int cap;
	int stop, S[MAXN];
	for (cin >> test; test--; )
	{
		cin >> n;
		cap = (1 << n);
		for (int i = 0; i < n; ++i)
		{
			cin >> nd[i].name >> nd[i].d >> nd[i].c;
		}
		for (int i = 0; i < cap; ++i)
		{
			dp[i].pre = -1;
			dp[i].day = INF_INT;
			dp[i].val = INF_INT;
			dp[i].id = -1;
		}
		dp[0].val = dp[0].day = 0;
		for (int ind = 1; ind < cap; ++ind)
		{
			for (int i = n - 1; i >= 0; --i)
			{
				int ptr = (1 << i);
				if (ptr & ind)
				{
					int tmp = (ind ^ ptr);
					int buf = dp[tmp].day + nd[i].c;
					int token = 0;
					if (buf > nd[i].d)
					{
						token = buf - nd[i].d;
					}
					if (dp[ind].val > dp[tmp].val + token 
						|| dp[ind].val == dp[tmp].val + token && dp[ind].day > dp[tmp].day + nd[i].c)
					{
						dp[ind].val = dp[tmp].val + token;
						dp[ind].day = dp[tmp].day + nd[i].c;
						dp[ind].id = i;
						dp[ind].pre = tmp;
					}
				}
			}
		}
		stop = 0;
		int root = cap - 1;
		cout << dp[root].val << endl;
		while (root > 0)
		{
			S[stop++] = dp[root].id;
			root = dp[root].pre;
		}
		for (int i = stop - 1; i >= 0; --i)
		{
			cout << nd[ S[i] ].name << endl;
		}
	}
	return ;
}
int main()
{
#ifndef ONLINE_JUDGE
	freopen("in.txt", "r", stdin);
#endif
	ace();
	return 0;
}

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