【最短路+dijkstra+floyd+spfa】1596 find the safest road

Dijkstra 算法

/* THE PROGRAM IS MADE BY PYY */
/*----------------------------------------------------------------------------//
    Copyright (c) 2011 panyanyany All rights reserved.

    URL   : http://acm.hdu.edu.cn/showproblem.php?pid=1596
    Name  : 1596 find the safest road

    Date  : Sunday, January 22, 2012
    Time Stage : half an hour

    Result: 
5286524	2012-01-22 16:22:38	Accepted	1596
1015MS	6632K	1962 B
C++	pyy


Test Data :

Review :
//----------------------------------------------------------------------------*/

#include 
  
   
#include 
   
     #include 
    
      #include 
     
       #include 
      
        #include 
       
         using namespace std ; #define INF (-1) #define MAXN 1002 typedef __int64 LL ; #define min(x, y) ((x) < (y) ? (x) : (y)) #define max(x, y) ((x) > (y) ? (x) : (y)) #define MEM(a, v) memset (a, v, sizeof (a)) bool used[MAXN] ; int n, q ; double map[MAXN][MAXN], dist[MAXN] ; double dijkstra (const int beg, const int end) { int i, j ; int iMinPath ; double MaxSafe ; MEM (used, 0) ; for (i = 1 ; i <= n ; ++i) dist[i] = map[beg][i] ; for (i = 1 ; i <= n ; ++i) { iMinPath = 1 ; MaxSafe = 0 ; for (j = 1 ; j <= n ; ++j) { if (used[j] || dist[j] == 0) continue ; if (dist[j] > MaxSafe) { iMinPath = j ; MaxSafe = dist[j] ; } } used[iMinPath] = 1 ; for (j = 1 ; j <= n ; ++j) { if (used[j] || dist[iMinPath] == 0 || map[iMinPath][j] == 0) continue ; if (dist[j] == 0 || dist[j] < dist[iMinPath] * map[iMinPath][j]) dist[j] = dist[iMinPath] * map[iMinPath][j] ; } } return dist[end] ; } int main () { int i, j ; int x, y ; double ret ; while (~scanf ("%d", &n)) { for (i = 1 ; i <= n ; ++i) for (j = 1 ; j <= n ; ++j) { scanf ("%lf", &map[i][j]) ; } scanf ("%d", &q) ; for (i = 1 ; i <= q ; ++i) { scanf ("%d%d", &x, &y) ; ret = dijkstra (x, y) ; if (ret == 0) puts ("What a pity!") ; else printf ("%.3lf\n", ret) ; } } return 0 ; } 
       
      
     
    
   
  

Floyd 算法

/* THE PROGRAM IS MADE BY PYY */
/*----------------------------------------------------------------------------//
    Copyright (c) 2011 panyanyany All rights reserved.

    URL   : http://acm.hdu.edu.cn/showproblem.php?pid=1596
    Name  : 1596 find the safest road

    Date  : Sunday, January 22, 2012
    Time Stage : half an hour

    Result: 
5286856	2012-01-22 19:02:13	Accepted	1596
3484MS	6620K	1456 B
C++	pyy


Test Data :

Review :

//----------------------------------------------------------------------------*/

#include 
#include 
#include 
#include 

#include 
#include 
#include 

using namespace std ;

#define INF        (-1)
#define MAXN       1002

typedef __int64    LL ;

#define min(x, y)    ((x) < (y) ? (x) : (y))
#define max(x, y)    ((x) > (y) ? (x) : (y))
#define MEM(a, v)    memset (a, v, sizeof (a))

int		n, q ;
double	map[MAXN][MAXN] ;

void floyd ()
{
	int i, j, k ;
	double d ;
	for (k = 1 ; k <= n ; ++k)
		for (i = 1 ; i <= n ; ++i)
			for (j = 1 ; j <= n ; ++j)
			{
				// 像这种数据这么大的题(n<=1000),加多条判断语句都会超时……
				// 之前这里就是加了一条判断,结果就超时了……无限TLE
				d = map[i][k] * map[k][j] ;
				if (map[i][j] < d)
					map[i][j] = d ;
			}
}

int main ()
{
	int i, j ;
	int x, y ;
	double ret ;

	while (~scanf ("%d", &n))
	{
		for (i = 1 ; i <= n ; ++i)
			for (j = 1 ; j <= n ; ++j)
			{
				scanf ("%lf", &map[i][j]) ;
			}

		floyd () ;
		scanf ("%d", &q) ;
		for (i = 1 ; i <= q ; ++i)
		{
			scanf ("%d%d", &x, &y) ;
			ret = map[x][y] ;
			if (ret == 0)
				puts ("What a pity!") ;
			else
				printf ("%.3lf\n", ret) ;
		}
	}
	return 0 ;
}

Spfa 算法

/* THE PROGRAM IS MADE BY PYY */
/*----------------------------------------------------------------------------//
    Copyright (c) 2011 panyanyany All rights reserved.

    URL   : 
    Name  : 

    Date  : 
    Time Stage : 

    Result: 
5287003	2012-01-22 21:15:06	Accepted	1596
1046MS	6656K	1783 B
C++	pyy


Test Data :

Review :

//----------------------------------------------------------------------------*/

#include 
  
   
#include 
   
     #include 
    
      #include 
     
       #include 
      
        #include 
       
         #include 
        
          using namespace std ; #define INF (-1) #define MAXN 1002 typedef __int64 LL ; #define min(x, y) ((x) < (y) ? (x) : (y)) #define max(x, y) ((x) > (y) ? (x) : (y)) #define MEM(a, v) memset (a, v, sizeof (a)) bool used[MAXN] ; int n, q ; double map[MAXN][MAXN], dist[MAXN] ; double spfa (const int beg, const int end) { int i, t ; double d ; queue
         
           q ; MEM (used, 0) ; MEM (dist, 0) ; q.push (beg) ; used[beg] = 1 ; dist[beg] = 1 ; // 记得要初始化出发点为1 while (!q.empty ()) { t = q.front () ; q.pop () ; for (i = 1 ; i <= n ; ++i) { d = dist[t] * map[t][i] ; if (dist[i] < d) { dist[i] = d ; if (!used[i]) { q.push (i) ; used[i] = 1 ; // 第一次忘了这个,死循环 } } } used[t] = 0 ; } return dist[end] ; } int main () { int i, j ; int x, y ; double ret ; while (~scanf ("%d", &n)) { for (i = 1 ; i <= n ; ++i) for (j = 1 ; j <= n ; ++j) { scanf ("%lf", &map[i][j]) ; } scanf ("%d", &q) ; for (i = 1 ; i <= q ; ++i) { scanf ("%d%d", &x, &y) ; ret = spfa (x, y) ; if (ret == 0) puts ("What a pity!") ; else printf ("%.3lf\n", ret) ; } } return 0 ; } 
         
        
       
      
     
    
   
  

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