hdu5025(bfs + 状态压缩)

题意:

孙悟空要去救唐僧;图中K是孙悟空,T是唐僧,S是蛇,数字是钥匙;

孙悟空必须拿到所有的钥匙,才能救唐僧,,而且钥匙必须有顺序,你没拿到1,就不能拿2.

'#'不能走,走一步要花一个时间,经过S时,要花一个时间打蛇(蛇只要打一次,下次经过就不用打);

问最少的时间;

思路:

bfs;

用一个四维的vis,标记x,y蛇的状态,还有钥匙的状态;

蛇的状态用一个状态压缩,因为蛇最多5只,00000为初始值,一只蛇都还没杀,哪一只杀了,就把哪一位标记成1;

然后就是裸bfs();

把状态放进队列时,最好用优先队列,优先找步数最少的.这样可以保证,第一次出现满足条件的状态(到达'T',并且钥匙找够了)时,肯定步数最少,就可以直接返回了;

AC代码:

#include<cstdio>#include<cstring>#include<queue>using namespace std;const int N = 105;int vis[N][N][10][1 << 5];int dir[4][2] = {{-1, 0},{1, 0},{0, 1},{0, -1}};int sx, sy, m, snum;char g[N][N];int snak[N][N];struct sta {int x,y;int key;int snake;int step;bool operator< (sta a) const {return this -> step > a.step;}}s,s1,s2;priority_queue<sta> q;int n,k;void bfs() {s.x = sx;s.y = sy;s.key = 0;s.snake = 0;s.step = 0;vis[sx][sy][0][0] = 1;q.push(s);while(!q.empty()) {s1 = q.top();q.pop();for(int i = 0; i < 4; i++) {s2.x = s1.x + dir[i][0];s2.y = s1.y + dir[i][1];s2.step = s1.step + 1;s2.snake = s1.snake;s2.key = s1.key;if(s2.x >= 0 && s2.y >= 0 && s2.x < n && s2.y < n && g[s2.x][s2.y] != '#' && !vis[s2.x][s2.y][s2.key][s2.snake]) {vis[s2.x][s2.y][s2.key][s2.snake] = 1;if(g[s2.x][s2.y] == 'S') {if(!(s2.snake & (1 << snak[s2.x][s2.y]))) {s2.snake |= (1 << snak[s2.x][s2.y]);s2.step += 1;}q.push(s2);}else if(g[s2.x][s2.y] == s2.key + 1 + '0') {s2.key += 1;q.push(s2);}else if(g[s2.x][s2.y] == 'T' && s2.key == k) {m = s2.step;return ;}else {q.push(s2);}}}}}int main() {while(scanf("%d%d",&n,&k) && n) {m = 0x3f3f3f3f;snum = 0;memset(vis, 0, sizeof(vis));while(!q.empty())q.pop();for(int i = 0; i < n; i++) {getchar();for(int j = 0; j < n; j++) {scanf("%c",&g[i][j]);if(g[i][j] == 'K') {sx = i;sy = j;}if(g[i][j] == 'S') {snak[i][j] = snum++;}}}bfs();if(m != 0x3f3f3f3f)printf("%d\n",m);elseprintf("impossible\n");}}

接受失败等于回归真实的自我,

hdu5025(bfs + 状态压缩)

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