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HDU 1253 胜利大逃亡

[编程题]HDU 1253 胜利大逃亡
  • 热度指数:1256 时间限制:C/C++ 2秒,其他语言4秒 空间限制:C/C++ 32M,其他语言64M
  • 算法知识视频讲解
Ignatius被魔王抓走了,有一天魔王出差去了,这可是Ignatius逃亡的好机会.

魔王住在一个城堡里,城堡是一个A*B*C的立方体,可以被表示成A个B*C的矩阵,刚开始Ignatius被关在(0,0,0)的位置,离开城堡的门在(A-1,B-1,C-1)的位置,现在知道魔王将在T分钟后回到城堡,Ignatius每分钟能从一个坐标走到相邻的六个坐标中的其中一个.现在给你城堡的地图,请你计算出Ignatius能否在魔王回来前离开城堡(只要走到出口就算离开城堡,如果走到出口的时候魔王刚好回来也算逃亡成功),如果可以请输出需要多少分钟才能离开,如果不能则输出-1.

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输入描述:
输入数据的第一行是一个正整数K,表明测试数据的数量.每组测试数据的第一行是四个正整数A,B,C和T(1<=A,B,C<=50,1<=T<=1000),它们分别代表城堡的大小和魔王回来的时间.然后是A块输入数据(先是第0块,然后是第1块,第2块......),每块输入数据有B行,每行有C个正整数,代表迷宫的布局,其中0代表路,1代表墙.(如果对输入描述不清楚,可以参考Sample Input中的迷宫描述,它表示的就是上图中的迷宫)
       

特别注意:本题的测试数据非常大,请使用scanf输入,我不能保证使用cin能不超时.在本OJ上请使用Visual C++提交.


输出描述:
对于每组测试数据,如果Ignatius能够在魔王回来前离开城堡,那么请输出他最少需要多少分钟,否则输出-1.
       
示例1

输入

1
3 3 4 20
0 1 1 1
0 0 1 1
0 1 1 1
1 1 1 1
1 0 0 1
0 1 1 1
0 0 0 0
0 1 1 0
0 1 1 0

输出

11
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#include <iostream>
#include <vector>
#include <string>
#include <queue>
#include <algorithm>
#include <cmath>
#include <ctime>
#include <cstdio>
#include <sstream>
#include <deque>
#include <functional>
#include <iterator>
#include <list>
#include <map>
#include <memory>
#include <stack>
#include <set>
#include <numeric>
#include <utility>
#include <cstring>
using namespace std;

int A, B, C, T;
struct point {
    int x, y, z;
    int t;
    point(int x=0, int y=0, int z=0, int t=0): x(x), y(y), z(z), t(t) {}
};
int direct[][3] = {{1,0,0}, {-1,0,0}, {0,0,1}, {0,0,-1}, {0,1,0}, {0,-1,0}};
int Map[55][55][55];
int BFS() {
    queue<point> que;
    que.push(point(0,0,0,0));
    while(que.size()) {
        point p = que.front();
        que.pop();
        if(p.t > T)
            continue;
        if(p.x == A-1 && p.y == B-1 && p.z == C-1)
            return p.t;
        for(int k=0; k<6; ++k) {
            int nx = p.x + direct[k][0];
            int ny = p.y + direct[k][1];
            int nz = p.z + direct[k][2];
            if(nx >=0 && nx<A && ny>=0 && ny<B && nz>=0 && nz<C && Map[nx][ny][nz] == 0) {
                que.push(point(nx, ny, nz, p.t+1));
                Map[nx][ny][nz] = 1;
            }
        }
    }
    return - 1;

}

int main()
{
    int K;
    scanf("%d", &K);
    while(K--) {
        scanf("%d%d%d%d", &A, &B, &C, &T);
        for(int a=0; a<A; ++a)
            for(int b=0; b<B; ++b)
                for(int c=0; c<C; ++c)
                    scanf("%d", &Map[a][b][c]);
        printf("%d\n", BFS());
    }

    return 0;
}
发表于 2015-10-28 15:17:59 回复(0)
#include <iostream>
#include <cstdio>
#include <queue>
using namespace std;

int K,A,B,C,T;
int G[51][51][51];
int d[6][3] = {{1,0,0}, {0,1,0}, {0,0,1}, {-1,0,0}, {0,-1,0}, {0,0,-1}};

struct P{     int a,b,c;     int t;     P(int aa,int bb,int cc,int tt):a(aa),b(bb),c(cc),t(tt){}
};

int BFS()
{     queue<P> q;     P s(0,0,0,0);     q.push(s);     while(!q.empty())     {         P x = q.front();         q.pop();         for(int i=0;i<6;i++)         {             int aa = x.a + d[i][0];             int bb = x.b + d[i][1];             int cc = x.c + d[i][2];             int tt = x.t + 1;             if(aa>=0 && aa<A && bb>=0 && bb<B && cc>=0 && cc<C && G[aa][bb][cc]!=1 && tt<=T)             {                 if(aa==A-1 && bb==B-1 && cc==C-1)                     return tt;                 P y(aa,bb,cc,tt);                 q.push(y);                 G[aa][bb][cc] = 1;             }                  }          }     return -1;
}


int main()
{     scanf("%d", &K);     while(K--)     {         scanf("%d%d%d%d", &A,&B,&C,&T);         for(int i=0;i<A;i++)             for(int j=0;j<B;j++)                 for(int k=0;k<C;k++)                     scanf("%d", &G[i][j][k]);         int t = BFS();         printf("%d\n", t);     }

}

编辑于 2018-05-03 23:50:45 回复(0)
#include<bits/stdc++.h>
using namespace std;
int maze[50][50][50];
bool mark[50][50][50];
struct N{
    int x,y,z;//坐标
    int t;
};
queue<N>Q;
int go[][3]={
    1,0,0,
    -1,0,0,
    0,1,0,
    0,-1,0,
    0,0,1,
    0,0,-1
};
int BFS(int a,int b,int c)//返回到达出口所需时间
{
    while(!Q.empty())
    {
        N now=Q.front();
        Q.pop();
        for(int i=0;i<6;i++)//依次扩展其6个相邻节点
        {
            int x=now.x+go[i][0];
            int y=now.y+go[i][1];
            int z=now.z+go[i][2];
            if(x<0||x>=a||y<0||y>=b||z<0||z>=c) continue;
            if(mark[x][y][z]==true) continue;//包含该状态的点已经被访问过,丢弃
            if(maze[x][y][z]==1) continue;//墙
            N next;
            next.x=x;
            next.y=y;
            next.z=z;
            next.t=now.t+1;
            Q.push(next);//新状态压入队列
            mark[next.x][next.y][next.z]=true;//标记该点为访问过的
            if(x==a-1&&y==b-1&&z==c-1) return next.t;
        }
    }
    return -1;
}
int main(){
    int K,A,B,C,T;
    scanf("%d",K);
    while(K--)
    {
        scanf("%d%d%d%d",&A,&B,&C,&T);
        for(int i=0;i<A;i++)
            for(int j=0;j<B;j++)
                for(int z=0;z<C;z++)
                {
                    scanf("%d",&maze[i][j][z])
                        mark[i][j][z]=false;
                }
        while(!Q.empty()) Q.pop();//清空队列
        mark[0][0][0]=true;//标记起点
        N tmp;
        tmp.x=0;
        tmp.y=0;
        tmp.z=0;
        Q.push(tmp);
        int ret=BFS(A,B,C);
        if(ret<=T&&ret!=-1) cout<<ret<<endl;
        else cout<<"-1"<<endl;
    }
    return 0;
}

发表于 2020-02-19 17:38:05 回复(0)
深度优先搜索

#include<stdio.h>
#include<queue>
using namespace std;

bool mark[50][50][50]; //Tag array
int maze[50][50][50]; // Storage maze information
struct N
{
    int x, y, z; // location
    int t; // time
};
queue<N> Q;
int go[][3] = {
    1,0,0,
    -1,0,0,
    0,1,0,
    0,-1,0,
    0,0,1,
    0,0,-1
};

int BFS(int a, int b, int c)
{
    while (Q.empty() == false)
    {
        N now = Q.front();
        Q.pop();
        for (int i = 0; i < 6; i++)
        {
            int nx = now.x + go[i][0];
            int ny = now.y + go[i][1];
            int nz = now.z + go[i][2];
            if (nx < 0 || nx >= a || ny < 0 || ny >= b || nz < 0 || nz >= c)
            {
                continue;
            }
            if (maze[nx][ny][nz] == 1)
            {
                continue;
            }
            if (mark[nx][ny][nz] == true)
            {
                continue;
            }
            N tmp;
            tmp.x = nx;
            tmp.y = ny;
            tmp.z = nz;
            tmp.t = now.t + 1;
            Q.push(tmp);
            mark[nx][ny][nz] = true;
            if (nx == a - 1 && ny == b - 1 && nz == c - 1)
            {
                return tmp.t;
            }
        }
    }
    return -1;
}

int main()
{
    int T;
    scanf("%d", &T);
    while (T--)
    {
        int a, b, c, t;
        scanf("%d%d%d%d", &a, &b, &c, &t);
        for (int i = 0; i < a; i++)
        {
            for (int j = 0; j < b; j++)
            {
                for (int k = 0; k < c; k++)
                {
                    scanf("%d", &maze[i][j][k]);
                    mark[i][j][k] = false;
                }
            }
        }
        while (Q.empty() == false)
        {
            Q.pop();
        }
        mark[0][0][0] = true;
        N tmp;
        tmp.t = tmp.x = tmp.y = tmp.z = 0;
        Q.push(tmp);
        int res = BFS(a, b, c);
        if (res <= t)
        {
            printf("%d\n", res);
        }
        else
        {
            printf("-1\n");
        }
    }
    getchar();
    return 0;
}

发表于 2019-08-04 17:26:27 回复(0)
#include<iostream>
#include<stdio.h>
#include<queue>
using namespace std;

struct N {
    int x, y, z;
    int t;
};

int mark[50][50][50];//判断是否已经遍历过
int maze[50][50][50];//保存立方体信息

queue<N> Q;//广度优先搜索的队列
int mynext[6][3] = {
    1,0,0,
    -1,0,0,
    0,1,0,
    0,-1,0,
    0,0,1,
    0,0,-1
};

int BFS(int a, int b, int c, int t) {//位置信息
    while (Q.empty() == false) {
        //队列非空,继续扩展
        N now = Q.front();
        Q.pop();//弹出队头
        if (now.t > t) { break; }//超出时间则直接退出
        for (int i = 0; i < 6; i++) {
            int nx = now.x + mynext[i][0];
            int ny = now.y + mynext[i][1];
            int nz = now.z + mynext[i][2];
            if (nx < 0 || nx >= a || ny < 0 || ny >= b || nz < 0 || nz >= c) continue;
            if (maze[nx][ny][nz] == 1) continue;//若该位置为墙,则丢弃
            if (mark[nx][ny][nz] == 1) continue;//若已经搜索到过,则丢弃
            N tmp;
            tmp.x = nx;
            tmp.y = ny;
            tmp.z = nz;
            tmp.t = now.t + 1;
            Q.push(tmp);
            mark[nx][ny][nz] = 1;
            if (nx == a - 1 && ny == b - 1 && nz == c - 1) return tmp.t;
        }
    }
    return 2000;//若无法到达终点或者超越了时间限制,则返回一个比题目T的最大值还要大的时间,用于判断输出
}

int main() {
    int m;
    scanf("%d",&m);
    while (m--) {
        int a, b, c, t;
        //cin >> a >> b >> c >> t;
        scanf("%d%d%d%d", &a,&b,&c,&t);
        for (int i = 0; i < a; i++) {
            for (int j = 0; j < b; j++) {
                for (int q = 0; q < c; q++) {
                    //cin >> maze[i][j][q];
                    scanf("%d", &maze[i][j][q]);
                    mark[i][j][q] = 0;
                }
            }
        }
        while (Q.empty() == false) Q.pop();
        N first;
        first.x = first.y = first.z = 0;
        first.t = 0;
        Q.push(first);
        int ans = BFS(a, b, c, t);
        /*if (ans < t) cout << ans << endl;
        else cout << -1 << endl;*/
        if (ans>t)printf("-1\n"); else printf("%d\n", ans);
    }
    system("pause");
}

发表于 2019-07-03 15:26:51 回复(0)
参考王道那本书写的——广度优先搜索。将路径的搜索转换为对状态的搜索。抽象出的状态包括:x,y,z,以及到达这个状态所走的次数。
#include <iostream>
#include <cstdio>
#include <queue>
using namespace std;
const int maxn = 50+5;

int cube[maxn][maxn][maxn];
bool mark[maxn][maxn][maxn];
int direct[6][3] = {
                    {-1, 0, 0},
                    {1, 0, 0},
                    {0, -1, 0},
                    {0, 1, 0},
                    {0, 0, -1},
                    {0, 0, 1}
};


struct State {
    int x, y, z;
    int t;
    // State(int x, int y, int z, int t)
};

queue<State> q;

int BFS(int a, int b, int c) {
    while (!q.empty()) {
        State now = q.front();
        q.pop();
        for (int i = 0; i < 6; i++) {
            int next_x = now.x + direct[i][0];
            int next_y = now.y + direct[i][1];
            int next_z = now.z + direct[i][2];
            if (next_x < 0 || next_x >= a || next_y < 0 || next_y >= b || next_z < 0 || next_z >= c) {
                continue;
            }
            if (cube[next_x][next_y][next_z] == 1) continue;
            if (mark[next_x][next_y][next_z]) continue;
            State next;
            next.x = next_x;
            next.y = next_y;
            next.z = next_z;
            next.t = now.t + 1; //路径长度+1
            q.push(next);
            mark[next.x][next.y][next.z] = true;
            if (next.x == (a-1) && next.y == (b-1) && next.z == (c-1)) {
                return next.t;
            }
        }

    }
    return -1;

}

int main() {
    int k;
    scanf("%d", &k);
    while (k--) {
        int a, b, c, t;
        scanf("%d%d%d%d", &a, &b, &c, &t);
        //获取输入
        for (int i = 0; i < a; i++) {
            for (int j = 0; j < b; j++) {
                for (int k = 0; k < c; k++) {
                    scanf("%d", &cube[i][j][k]);
                    mark[i][j][k] = false;
                }
            }
        }

        while (!q.empty()) q.pop();
        State start;
        start.x = start.y = start.z = start.t = 0;
        mark[start.x][start.y][start.z] = true;
        q.push(start);
        int rtn = BFS(a, b, c);
        if (rtn <= t) {
            printf("%d\n", rtn);
        }
        else {
            printf("-1\n");
        }


    }
    return 0;
}

发表于 2018-06-24 16:26:15 回复(0)
#include <stdio.h>
#include <queue>
using namespace std;
struct E{
    int x,y,z;
    int t;
};

queue<E> Q;
bool mark[50][50][50];
int maze[50][50][50];

int go[6][3]={
    1,0,0,
    -1,0,0,
    0,1,0,
    0,-1,0,
    0,0,1,
    0,0,-1,
};
int BFS(int a, int b, int c){               //类似用队列进行层次遍历  不同之处在于 剪枝(对某些不满足条件的元素舍弃)
    E newP;
    while(!Q.empty()){
        newP = Q.front();
        Q.pop();                        //拿出队头元素
        for(int i=0; i<6; i++){
            int nx = newP.x + go[i][0];
            int ny = newP.y + go[i][1]; //某坐标的六个方向 相当于当前节点的下一层子树
            int nz = newP.z + go[i][2];
       
            if(mark[nx][ny][nz]) continue;
            if(maze[nx][ny][nz]) continue;
            if(nx<0 || ny<0 || nz<0 || nx>=a || ny>=b || nz>=c) continue;
            newP.x = nx;
            newP.y = ny;
            newP.z = nz;
            newP.t++;
            mark[nx][ny][nz] = true;
            Q.push(newP);
            if(nx==a-1 && ny==b-1 && nz==c-1)
                return newP.t;
        }
    }
    return -1;
}

int main(){
    int K;
    while(scanf("%d", &K) != EOF){
        while(K--){
            int a, b, c, T;
            scanf("%d %d %d %d", &a, &b, &c, &T);
            for(int i=0; i<a; i++)
                for(int j=0; j<b; j++)
                    for(int k=0; k<c; k++){
                        scanf("%d", &maze[i][j][k]);       //迷宫初始化 
                        mark[i][j][k] = false;
                    }
            while(!Q.empty()) Q.pop();                      //用于进行层次遍历的队列清空
            E tmp;
            tmp.x = tmp.y = tmp.z = tmp.t = 0;
            Q.push(tmp);                                     //从(0,0,0)出发
            int ans = BFS(a,b,c);
            if(ans < T) printf("%d", ans);
            else printf("-1");
               
        }
    }
    return 0;
}

发表于 2018-02-26 15:26:26 回复(0)

include

include

include

using namespace std;
struct sta{
int x,y,z;
int t;
};
queue q;
int maze[51][51][51];
bool marked[51][51][51];
int go[][3]={
1,0,0,
-1,0,0,
0,1,0,
0,-1,0,
0,0,1,
0,0,-1,
};
int bfs(int a,int b,int c){
sta cur;
while(q.empty()==false){
cur=q.front();
q.pop();
for(int i=0;i=0&&cur_y=0&&cur_z=0)
if(maze[cur_x][cur_y][cur_z]==0)
if(marked[cur_x][cur_y][cur_z]==false){
marked[cur_x][cur_y][cur_z]=true;
sta next;
next.x=cur_x;
next.y=cur_y;
next.z=cur_z;
next.t=cur.t+1;
q.push(next);
if(next.x==a-1&&next.y==b-1&&next.z==c-1)
return next.t;
}
}
}
return -1;
}

int main(){
int n;
while(scanf("%d",&n)!=EOF){
int a,b,c,t,ret;
while(n--){
scanf("%d%d%d%d",&a,&b,&c,&t);
for(int x=0;x<a;x++)
for(int y=0;y<b;y++)
for(int z=0;z<c;z++){
scanf("%d",&maze[x][y][z]);
marked[x][y][z]=false;
}
while(q.empty()==false) q.pop();
sta begin;
begin.x=begin.y=begin.z=begin.t=0;
q.push(begin);
marked[begin.x][begin.y][begin.z]=true;
ret=bfs(a,b,c);
printf("%d\n",ret<=t?ret:-1);
}
}
}

编辑于 2018-02-20 14:46:16 回复(0)
#include<stdio.h>
#include<queue>
#define MAX 50
using namespace std;
int space[MAX][MAX][MAX];
bool mark[MAX][MAX][MAX];
struct N{
    int x,y,z;
    int time;
};
queue<N> Q;
int go[][3]={
    1,0,0,
    -1,0,0,
    0,1,0,
    0,-1,0,
    0,0,1,
    0,0,-1,
};
int BFS(int a,int b,int c){
    int i;
    while(!Q.empty()){
        N now;
        int x,y,z;
        now=Q.front();
        Q.pop();
        for(i=0;i<6;i++){
            x=now.x+go[i][0];
            y=now.y+go[i][1];
            z=now.z+go[i][2];
            if(x<0||x>=a||y<0||y>=b||z<0||z>=c) continue;
            if(mark[x][y][z]==true) continue;
            if(space[x][y][z]==1) continue;
            N tmp;
            tmp.x=x;
            tmp.y=y;
            tmp.z=z;
            tmp.time=now.time+1;
            Q.push(tmp);
            mark[x][y][z]=true;
            if(x==a-1&&y==b-1&&z==c-1) return tmp.time;
        }
    }
    return -1;
}
int main(){
    int n,a,b,c,t,i,j,k;
    scanf("%d",&n);
    while(n--){
        scanf("%d%d%d%d",&a,&b,&c,&t);
        for(i=0;i<a;i++)
            for(j=0;j<b;j++)
                for(k=0;k<c;k++){
                    scanf("%d",&space[i][j][k]);
                    mark[i][j][k]=false;
                }
        mark[0][0][0]=true;
        while(!Q.empty())
            Q.pop();
        N tmp;
        tmp.x=tmp.y=tmp.z=tmp.time=0;
        Q.push(tmp);
        int ans=BFS(a,b,c);
        if(ans<=t)
            printf("%d\n",ans);
        else
            printf("%d\n",-1);
    }
    return 0;
}

发表于 2018-01-25 21:26:42 回复(0)
#define _CRT_SECURE_NO_WARNINGS  
#include <stdio.h>
#include <math.h>
#include <algorithm>
#include <stdlib.h>
#include <vector>
#include <map>
#include <queue>
#include <string>
#include <iostream>
#include <ctype.h>
#include <string.h>
#include <set>
#include <stack>
#include<functional>
using namespace std;
#define Size 55
int ma[Size][Size][Size];
bool mark[Size][Size][Size];
struct N{
    int x, y, z;
    int t;
};

int a, b, c;
queue<N> q;
int go[][3] = { { 0, 0, 1 }, { 0, 0, -1 }, { 0, 1, 0 }, { 0, -1, 0 }, { 1, 0, 0 }, { -1, 0, 0 } };
int bfs(){
    while (q.size()){
        N tmp = q.front();
        q.pop();
        int x = tmp.x, y = tmp.y, z = tmp.z, t = tmp.t;
        for (int i = 0; i < 6; i++){
            N to;
            to.x = x + go[i][0];
            to.y = y + go[i][1];
            to.z = z + go[i][2];
            to.t = t + 1;
            if (to.x < 0 || to.x >= a || to.y < 0 || to.y >= b || to.z < 0 || to.z >= c) continue;
            if (mark[to.x][to.y][to.z]) continue;
            if (ma[to.x][to.y][to.z]) continue;
            if (to.x == a - 1 && to.y == b - 1 && to.z == c - 1) return to.t;
            q.push(to);
            mark[to.x][to.y][to.z] = 1;
        }
    }
    return 0x3f3f3f;
}
int main(){
    int n;
    cin >> n;
    while (n--){
        while (q.size()) q.pop();
        int t;
        cin >> a >> b >> c >> t;
        for (int i = 0; i < a; i++){
            for (int j = 0; j < b; j++){
                for (int k = 0; k < c; k++){
                    scanf("%d", &ma[i][j][k]);
                    mark[i][j][k] = 0;
                }
            }
        }
        N s;
        s.x = s.y = s.z = 0;
        s.t = 0;
        q.push(s);
        int ans = bfs();
        if (ans < t) cout << ans << endl;
        else cout << -1 << endl;

    }
}

发表于 2018-01-21 22:32:37 回复(0)

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