Hdu 2579 Dating with girls (2) "Classic three-dimensional BFS"

Source: Internet
Author: User

Dating with girls (2)Time limit:2000/1000 MS (java/others) Memory Lim it:32768/32768 K (java/others)
Total submission (s): 2443 Accepted Submission (s): 697

Links: http://acm.hdu.edu.cn/showproblem.php?pid=2579
Problem descriptionif You has solved the problem Dating with girls (1). I Think you can solve this problem too. This problem was also about dating with girls. Now you are in a maze and the girl you want to date with is also in the maze. If you can find the girl and then you can date with the girl. Else the girl would date with other boys. What a pity!
The Maze is very strange. There is many stones in the maze. The stone'll disappear at time t if it's a multiple of K (2<= K <=), on the other time, stones'll be still th Ere.
There is only '. ' or ' # ', ' Y ', ' G ' on the map of the maze. '. ' Indicates the blank which you can move on, ' # ' indicates stones. ' Y ' indicates the your location. ' G ' indicates the girl ' s location. There is only one ' Y ' and one ' G '. Every seconds you can move left, right, up or down.

Inputthe first line contain an integer T. Then T cases followed. Each case is begins with three integers r and C (1 <= R, c <=), and K (2 <=k <= 10).
The next R line is the map ' s description.
Outputfor cases, if can find the girl, output the least time in seconds, else output "Please give me another Chan Ce! ".
Sample Input
6 2...y.....#...#.......#.....# .... #G #.

Sample Output
7

Test Instructions:

Given a graph of r*c, the minimum number of steps from the start to the end. The obstacle is not allowed to pass through the obstacles, and the obstacle disappears temporarily when the integer times of K.

Analysis:

Simple three-dimensional BFS, this topic because to determine whether the number of steps is not The integer multiples of K. When the next position is an obstacle, we cannot skip the obstacle directly, because there is a situation where the point is reached at the other point, and then at the integer times of K , which is the case of the sample. Thus, it is necessary to describe the state accurately in three dimensions. Another dimension is used to describe whether (i, J) This point has been accessed in the state of K modulo .

Code implementation:
#include <queue> #include <cstdio> #include <string> #include <cstring> #include <iostream > #include <algorithm>using namespace std; #define FIN freopen ("Input.txt", "R", stdin) #define CASE (T) int t;for ( scanf ("%d", &t); t--;) const int MAXN = + 5;const int INF = 0x3f3f3f3f;const int dir[4][2] = { -1,0, 1,0, 0,1, 0,-1};int R, C, K, ans;c    Har map[maxn][maxn];bool vis[maxn][maxn][15];struct node{int x, y, step; Node () {} node (int _x, int _y, int _s): x (_x), Y (_y), step (_s) {}} now;queue<node> que;void read_graph (); void s    Olve (); int main () {//FIN;        Case (T) {read_graph ();    Solve (); } return 0;}    void Read_graph () {scanf ("%d%d%d", &r, &c, &k);        for (int i = 0; i < R; i++) {scanf ("%s", Map[i]);        for (int j = 0; J < C; J + +) {if (map[i][j] = = ' Y ') now = Node (i, j, 0); }}}inline bool InRange (int x, int y) {return x >= 0 &&amP x < R && y >= 0 && y < C;}    void Solve () {ans = INF;    Memset (Vis, false, sizeof (VIS));    Que.push (now);    Vis[now.x][now.y][0] = true; while (!        Que.empty ()) {now = Que.front ();        Que.pop ();            if (map[now.x][now.y] = = ' G ') {ans = min (ans, now.step);        Continue } for (int i = 0; i < 4; i++) {int xx = now.x + dir[i][0], yy = Now.y + dir[i][1], ss = Now.st            EP + 1; if (InRange (xx, yy) &&!vis[xx][yy][ss% K] && ss <= ans) {if (map[xx][yy] = =                ' # ' && ss% K! = 0) Continue;                Que.push (Node (xx, yy, ss));            Vis[xx][yy][ss% K] = true;    }}} if (ans >= INF) printf ("Please give me another chance!\n"); else printf ("%d\n", ans);}

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Hdu 2579 Dating with girls (2) "Classic three-dimensional BFS"

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