Codeforces Round #590 (Div. 3) C. Pipes

链接:

https://codeforces.com/contest/1234/problem/C

题意:

You are given a system of pipes. It consists of two rows, each row consists of n pipes. The top left pipe has the coordinates (1,1) and the bottom right — (2,n).

There are six types of pipes: two types of straight pipes and four types of curved pipes. Here are the examples of all six types:

Types of pipes

You can turn each of the given pipes 90 degrees clockwise or counterclockwise arbitrary (possibly, zero) number of times (so the types 1 and 2 can become each other and types 3,4,5,6 can become each other).

You want to turn some pipes in a way that the water flow can start at (1,0) (to the left of the top left pipe), move to the pipe at (1,1), flow somehow by connected pipes to the pipe at (2,n) and flow right to (2,n+1).

Pipes are connected if they are adjacent in the system and their ends are connected. Here are examples of connected pipes:

Examples of connected pipes

Let's describe the problem using some example:

The first example input

And its solution is below:

The first example answer

As you can see, the water flow is the poorly drawn blue line. To obtain the answer, we need to turn the pipe at (1,2) 90 degrees clockwise, the pipe at (2,3) 90 degrees, the pipe at (1,6) 90 degrees, the pipe at (1,7) 180 degrees and the pipe at (2,7) 180 degrees. Then the flow of water can reach (2,n+1) from (1,0).

You have to answer q independent queries.

思路:

记录当前位置和上一位置, 枚举情况即可.

代码:

#include <bits/stdc++.h>
using namespace std;
const int MAXN = 2e5+10;

char Map[2][MAXN];
int n;

int main()
{
    int t;
    scanf("%d", &t);
    while (t--)
    {
        scanf("%d\n", &n);
        scanf("%s%s", Map[0], Map[1]);
        int nowx = 0, nowy = 0, lasx = -1, lasy = -1;
        bool flag = true;
        while (nowy < n)
        {
            if (lasx == -1)
            {
                lasx = nowx, lasy = nowy;
                if (Map[nowx][nowy]-'0' <= 2)
                    nowy++;
                else
                    nowx ^= 1;
                continue;
            }
            if (nowx == lasx)
            {
                if (Map[lasx][lasy]-'0' <= 2)
                {
                    lasx = nowx, lasy = nowy;
                    if (Map[nowx][nowy]-'0' <= 2)
                        nowy++;
                    else
                        nowx ^= 1;
                }
                else
                {
                    lasx = nowx, lasy = nowy;
                    if (Map[nowx][nowy]-'0' <= 2)
                        nowy++;
                    else
                        nowx ^= 1;
                }
            }
            else
            {
                if (Map[lasx][lasy]-'0' <= 2)
                {
                    flag = false;
                    break;
                }
                else
                {
                    if (Map[nowx][nowy]-'0' <= 2)
                    {
                        flag = false;
                        break;
                    }
                    else
                    {
                        lasx = nowx, lasy = nowy;
                        nowy++;
                    }
                }
            }
        }
//        cout << line << endl;
        if (!flag || nowx != 1)
            puts("NO");
        else
            puts("YES");
    }

    return 0;
}