HDU-3533 Escape (BFS

Escape

Time Limit: 20000/10000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 2462    Accepted Submission(s): 716

Problem Description

The students of the HEU are maneuvering for their military training.
The red army and the blue army are at war today. The blue army finds that Little A is the spy of the red army, so Little A has to escape from the headquarters of the blue army to that of the red army. The battle field is a rectangle of size m*n, and the headquarters of the blue army and the red army are placed at (0, 0) and (m, n), respectively, which means that Little A will go from (0, 0) to (m, n). The picture below denotes the shape of the battle field and the notation of directions that we will use later.



The blue army is eager to revenge, so it tries its best to kill Little A during his escape. The blue army places many castles, which will shoot to a fixed direction periodically. It costs Little A one unit of energy per second, whether he moves or not. If he uses up all his energy or gets shot at sometime, then he fails. Little A can move north, south, east or west, one unit per second. Note he may stay at times in order not to be shot.
To simplify the problem, let’s assume that Little A cannot stop in the middle of a second. He will neither get shot nor block the bullet during his move, which means that a bullet can only kill Little A at positions with integer coordinates. Consider the example below. The bullet moves from (0, 3) to (0, 0) at the speed of 3 units per second, and Little A moves from (0, 0) to (0, 1) at the speed of 1 unit per second. Then Little A is not killed. But if the bullet moves 2 units per second in the above example, Little A will be killed at (0, 1).
Now, please tell Little A whether he can escape.

 

Input

For every test case, the first line has four integers, m, n, k and d (2<=m, n<=100, 0<=k<=100, m+ n<=d<=1000). m and n are the size of the battle ground, k is the number of castles and d is the units of energy Little A initially has. The next k lines describe the castles each. Each line contains a character c and four integers, t, v, x and y. Here c is ‘N’, ‘S’, ‘E’ or ‘W’ giving the direction to which the castle shoots, t is the period, v is the velocity of the bullets shot (i.e. units passed per second), and (x, y) is the location of the castle. Here we suppose that if a castle is shot by other castles, it will block others’ shots but will NOT be destroyed. And two bullets will pass each other without affecting their directions and velocities.
All castles begin to shoot when Little A starts to escape.
Proceed to the end of file.

 

Output

If Little A can escape, print the minimum time required in seconds on a single line. Otherwise print “Bad luck!” without quotes.

 

Sample Input

4 4 3 10
N 1 1 1 1
W 1 1 3 2
W 2 1 2 4
4 4 3 10
N 1 1 1 1
W 1 1 3 2
W 1 1 2 4

Sample Output
9
Bad luck!

题意：有个人需要从(0,0)在d秒内走到(n,m),地图上有k个炮台(x,y)(具有射速，时间周期，方向)，然后求是否可以在d秒内走到(n,m)，能则输出时间，否则输出Bad luck!

当然炮台可以挡住其他炮台射来的子弹且不会损坏，炮台的子弹只有和人同时到达某个点时，才算击中。人可以保持五种状态上下左右原地.

思路：BFS就行，每次确定一个点时，确定其4个方向的最近炮台是否是朝这边射来的，如果是朝这边射来的话，我们判断一下我和炮台的距离，以及我们走过的时间来

判断和时间周期的关系即可。

#include<bits/stdc++.h>
#define fi first
#define llu unsigned long long
#define pll pair<int,int>
#define se second
using namespace std;
const int maxn = 105;
bool vis[maxn][maxn][maxn*10];
int dri[5][2]= {0,1,1,0,0,-1,-1,0,0,0};
int n,m,d;
struct node
{
    int x,y,step;
    node(int x,int y,int step):x(x),y(y),step(step) {};
};
struct point
{
    char s;
    int t,v,x,y;
} s[maxn][maxn];
bool check(int x,int y)
{
    if(x>n||x<0||y>m||y<0)
        return true;
    return false;
}
void bfs()
{
    queue<node> q;
    q.push(node(0,0,0));
    vis[0][0][0]=true;
    while(!q.empty())
    {
        node u=q.front();
        q.pop();
        if(u.step>d) break;
        if(u.x==n&&u.y==m)
        {
            printf("%d
",u.step);
            return ;
        }
        for(int i=0; i<5; i++)
        {
            node v = u;
            v.x+=dri[i][0];
            v.y+=dri[i][1];
            v.step+=1;
            if(check(v.x,v.y)||v.step>d) continue;
            if(!s[v.x][v.y].t&&!vis[v.x][v.y][v.step])//下一步没炮台
            {

                bool fg=0;
                for(int j=v.x+1; j<=n; j++) //枚举右边的地图
                {
                    if(s[j][v.y].t&&s[j][v.y].s=='N')  //存在炮台,且炮台朝左边发射
                    {
                        int dis=j-v.x;  //距离
                        if(dis%s[j][v.y].v) break;//当不能整除炮弹肯定会和人擦肩而过
                        int tmp=v.step-dis/s[j][v.y].v;//算出炮弹射到此处的时间
                        if(tmp<0) break;// 炮弹还没到这里
                        if(tmp%s[j][v.y].t==0)//刚好能整除周期 那么就代表能打中
                        {
                            fg=1;
                            break;
                        }
                    }
                    if(s[j][v.y].t) break;//如果存在一个炮台不是朝人这边射来,那么子弹都被此炮台吸收
                }
                //其他方向同上
                if(fg) continue;
                for(int j=v.x-1; j>=0; j--)  
                {
                    if(s[j][v.y].t&&s[j][v.y].s=='S')
                    {
                        int dis=v.x-j;
                        if(dis%s[j][v.y].v) break;
                        int tmp=v.step-dis/s[j][v.y].v;
                        if(tmp<0) break;
                        if(tmp%s[j][v.y].t==0)
                        {
                            fg=1;
                            break;
                        }
                    }
                    if(s[j][v.y].t) break;

                }
                if(fg) continue;
                for(int j=v.y+1; j<=m; j++)
                {
                    if(s[v.x][j].t&&s[v.x][j].s=='W')
                    {
                        int dis=j-v.y;
                        if(dis%s[v.x][j].v) break;
                        int tmp=v.step-dis/s[v.x][j].v;
                        if(tmp < 0) break;
                        if(tmp%s[v.x][j].t==0)
                        {
                            fg=1;
                            break;
                        }
                    }
                    if(s[v.x][j].t) break;

                }
                if(fg) continue;
                for(int j=v.y-1; j>=0; j--)
                {
                    if(s[v.x][j].t&&s[v.x][j].s=='E')
                    {
                        int dis=v.y-j;
                        if(dis%s[v.x][j].v) break;
                        int tmp=v.step-dis/s[v.x][j].v;
                        if(tmp < 0) break;
                        if(tmp%s[v.x][j].t==0)
                        {
                            fg=1;
                            break;
                        }
                    }
                    if(s[v.x][j].t) break;
                }
                if(fg) continue;
                vis[v.x][v.y][v.step]=1;
                q.push(v);
            }
        }
    }
    printf("Bad luck!
");
}
int main()
{
    int k;
    int t,c,x,y;
    char ch[3];
    while(~scanf("%d %d %d %d",&n,&m,&k,&d))
    {
        memset(s,0,sizeof(s));
        memset(vis,false,sizeof(vis));
        for(int i=1; i<=k; i++)
        {
            scanf("%s%d%d%d%d",ch,&t,&c,&x,&y);
            s[x][y].s=ch[0];
            s[x][y].t=t;
            s[x][y].v=c;
        }
        bfs();
    }
}

PS:摸鱼怪的博客分享，欢迎感谢各路大牛的指点~