题目连接：http://acm.hdu.edu.cn/showproblem.php?pid=1245
Saving James Bond
Time Limit: 6000/3000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 2608 Accepted Submission(s): 505
Problem Description
This
time let us consider the situation in the movie "Live and Let Die" in
which James Bond, the world's most famous spy, was captured by a group
of drug dealers. He was sent to a small piece of land at the center of a
lake filled with crocodiles. There he performed the most daring action
to escape -- he jumped onto the head of the nearest crocodile! Before
the animal realized what was happening, James jumped again onto the next
big head... Finally he reached the bank before the last crocodile could
bite him (actually the stunt man was caught by the big mouth and barely
escaped with his extra thick boot).
Assume that the lake is a
100×100 square one. Assume that the center of the lake is at (0,0) and
the northeast corner at (50,50). The central island is a disk centered
at (0,0) with the diameter of 15. A number of crocodiles are in the lake
at various positions. Given the coordinates of each crocodile and the
distance that James could jump, you must tell him whether he could
escape.If he could,tell him the shortest length he has to jump and the
min-steps he has to jump for shortest length.
time let us consider the situation in the movie "Live and Let Die" in
which James Bond, the world's most famous spy, was captured by a group
of drug dealers. He was sent to a small piece of land at the center of a
lake filled with crocodiles. There he performed the most daring action
to escape -- he jumped onto the head of the nearest crocodile! Before
the animal realized what was happening, James jumped again onto the next
big head... Finally he reached the bank before the last crocodile could
bite him (actually the stunt man was caught by the big mouth and barely
escaped with his extra thick boot).
Assume that the lake is a
100×100 square one. Assume that the center of the lake is at (0,0) and
the northeast corner at (50,50). The central island is a disk centered
at (0,0) with the diameter of 15. A number of crocodiles are in the lake
at various positions. Given the coordinates of each crocodile and the
distance that James could jump, you must tell him whether he could
escape.If he could,tell him the shortest length he has to jump and the
min-steps he has to jump for shortest length.
Input
The
input consists of several test cases. Each case starts with a line
containing n <= 100, the number of crocodiles, and d > 0, the
distance that James could jump. Then one line follows for each
crocodile, containing the (x, y) location of the crocodile. Note that x
and y are both integers, and no two crocodiles are staying at the same
position.
input consists of several test cases. Each case starts with a line
containing n <= 100, the number of crocodiles, and d > 0, the
distance that James could jump. Then one line follows for each
crocodile, containing the (x, y) location of the crocodile. Note that x
and y are both integers, and no two crocodiles are staying at the same
position.
Output
For
each test case, if James can escape, output in one line the shortest
length he has to jump and the min-steps he has to jump for shortest
length. If it is impossible for James to escape that way, simply ouput
"can't be saved".
each test case, if James can escape, output in one line the shortest
length he has to jump and the min-steps he has to jump for shortest
length. If it is impossible for James to escape that way, simply ouput
"can't be saved".
Sample Input
4 10
17 0
27 0
37 0
45 0
1 10
20 30
17 0
27 0
37 0
45 0
1 10
20 30
Sample Output
42.50 5
can't be saved
can't be saved
Author
weigang Lee
题意： 湖是以(0,0)为中心的边长为100的正方形，开始小人在湖中心直径为15的岛上，中间的湖有很多的鳄鱼，求小人可以通过鳄鱼跳到岸上吗，小人每次跳跃距离不超过d
题解： 这个题建图是关键，建好图，用dijk或者是spfa求最短路都可以，将中心岛看成第一个点，将岸边看成是第n+2个点，然后枚举所有的两点之间，如果之间距离小于d就建一条两点之间的边，
再枚举每个点和中心岛屿和岸边的距离和岛屿和岸边建边，然后求最短路即可
复习一下dijk
代码：
#include<algorithm>
#include<cstdio>
#include<cstring>
#include<cmath>
using namespace std;
#define INF 0x1fffffff
#define N 110
struct Edge{
int to;
int next;
double v;
}edge[N*N]; struct point{
double x;
double y;
}p[N]; int head[N];
int m;
double fd(double x1, double y1, double x2 , double y2)
{
double tm = (x2-x1)*(x2-x1) +(y2-y1)*(y2-y1);
return sqrt(tm);
}
double dis[N];
int cnt[N];
int Enct;
bool vis[N];
void init()
{
Enct = ;
memset(head,-,sizeof(head));
memset(vis, , sizeof(vis));
for(int i = ;i < N ; i++){
dis[i] = INF;
cnt[i] = INF;
}
cnt[] = ;
dis[] = ;
}
void add(int from , int to , double v)
{
if(v>m) return ;
edge[Enct].to = to;
edge[Enct].v = v;
edge[Enct].next = head[from];
head[from] = Enct++;
edge[Enct].to = from;
edge[Enct].v = v;
edge[Enct].next = head[to];
head[to] = Enct++;
}
int n; void dijk()
{
for(int i = ;i < n ;i++)
{
//for(int j = 0; j < n; j++) printf("%.2lf ", dis[j]); puts("");
int Min = INF ;
int Minc = INF ;
int k = -;
for(int j = ; j < n ; j++)
{
if(!vis[j]&&dis[j]<=Min)
{
if(dis[j]<Min)
{
Min = dis[j];
k = j;
}
else if(dis[j]==Min&&cnt[j]<Minc)
{
Minc = cnt[j];
k = j;
}
}
}
//printf("%d \n",k);
if(Min == INF) return ;
vis[k] = ;
for( int j = head[k] ; j != - ; j = edge[j].next)
{
Edge e = edge[j];
if(!vis[e.to]&&(dis[k]+e.v)==dis[e.to]&&cnt[k]+<cnt[e.to])
{
cnt[e.to] = cnt[k]+;
}
if(!vis[e.to]&&dis[k]+e.v<dis[e.to])
{
cnt[e.to] = cnt[k]+;
dis[e.to] = dis[k]+e.v;
}
}
}
} int main()
{
while(~scanf("%d%d",&n,&m))
{
init();
for(int i = ; i <= n ;i++)
{
double x, y;
scanf("%lf%lf",&x,&y);
p[i].x = x;
p[i].y = y;
double dd = -max(fabs(x), fabs(y));
if(dd <= m) add(i, n+, dd);
//if((x>=50-m&&x>y)||(x<=-(50-m)&&x<y)) add(i,n+1,(50-abs(x)));
//if((y>=50-m&&x<y)||(y<=-(50-m)&&x>y)) add(i,n+1,(50-abs(y)));
for(int j = ; j < i ; j++)
{
double flag = fd(p[i].x,p[i].y,p[j].x,p[j].y);
if(flag <= m) add(i,j,flag);
}
}
for(int i = ; i <= n; i++)
{
double tm = fd(p[i].x, p[i].y, , );
if(tm - 7.5 <= m) add(, i, tm - 7.5);
}
// for(int i = 0; i < n+2; i++)
// {
// printf("%d:", i);
//for(int j = head[i]; j != -1; j = edge[j].next) printf("(%d %.2lf) ", edge[j].to, edge[j].v);
// puts("");
// } n += ;
dijk();
if(dis[n-]==INF) puts("can't be saved");
else
printf("%.2f %d\n",dis[n-],cnt[n-]-);
}
return ;
}