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Increase Charisma Points

姚智
2023-12-01

关键思路:

http://hihocoder.com/discuss/question/3552

edge[][]数组,一般的理解为任意两个点之间的边距离,但其实这个数组还有另一种理解方式:edge[j][k]表示从j出发,经过1条边到达k的路径距离

对edge[i][j]使用倍增法,求从i到j经过2^k条边的路径距离


#include 
   
   
    
    
#include 
    
    
     
     
using namespace std;

#define L 31
#define SIZE 100
typedef long long ll;
int N, M;
ll dp[SIZE][SIZE][L], s[SIZE];

void merge(int x)
{
	ll t;
	for (int i = 0; i < N; ++i)
		for (int j = 0; j < N; ++j)
			for (int k = 0; k < N; ++k)
			{
				if (x == 1 && (k == i || k == j))continue;
				t = dp[i][k][x - 1] + dp[k][j][x - 1];
				if (dp[i][j][x] == -1 || dp[i][j][x] > t)
					dp[i][j][x] = t;
			}
}

void init()
{
	memset(dp, -1, sizeof(dp));
	memset(s, 0, sizeof(s));
	cin >> N >> M;
	for (int i = 0; i < N; ++i)
		for (int j = 0; j < N; ++j)
			cin >> dp[i][j][0];
	for (int i = 1; i < L; ++i)
		merge(i);
}

bool check(ll *a)
{
	for (int i = 0; i < N; ++i)
		if (a[i] <= M) return true;
	return false;
}

void solve()
{
	int ans = 0;
	ll t[SIZE];
	for (int k = 30; k >= 0; --k)
	{
		memset(t, -1, sizeof(t));
		for (int i = 0; i < N; ++i)
			for (int j = 0; j < N; ++j)
			{
				if (k == 0 && i == j) continue;
				if (t[i] == -1 || t[i] > s[j] + dp[j][i][k])
					t[i] = s[j] + dp[j][i][k];
			}
		if (check(t))
		{
			ans += (1 << k);
			for (int i = 0; i < N; ++i)
				s[i] = t[i];
		}
	}
	cout << ans << endl;
}

int main()
{
	init();
	solve();
	return 0;
}
    
    
   
   

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