Codeforces Round #382 (Div. 2) A. Ostap and Grasshopper bfs

本文介绍了一道关于路径寻找的问题,玩家需要在一个包含障碍物的线性地图上,利用特定步长帮助一只草蜢从起点到达终点捕获食物。通过使用广度优先搜索算法(BFS),文章详细阐述了如何解决这个问题。

A. Ostap and Grasshopper

题面

On the way to Rio de Janeiro Ostap kills time playing with a grasshopper he took with him in a special box. Ostap builds a line of length n such that some cells of this line are empty and some contain obstacles. Then, he places his grasshopper to one of the empty cells and a small insect in another empty cell. The grasshopper wants to eat the insect.

Ostap knows that grasshopper is able to jump to any empty cell that is exactly k cells away from the current (to the left or to the right). Note that it doesn't matter whether intermediate cells are empty or not as the grasshopper makes a jump over them. For example, if k = 1 the grasshopper can jump to a neighboring cell only, and if k = 2 the grasshopper can jump over a single cell.

Your goal is to determine whether there is a sequence of jumps such that grasshopper will get from his initial position to the cell with an insect.

输入

The first line of the input contains two integers n and k (2 ≤ n ≤ 100, 1 ≤ k ≤ n - 1) — the number of cells in the line and the length of one grasshopper's jump.

The second line contains a string of length n consisting of characters '.', '#', 'G' and 'T'. Character '.' means that the corresponding cell is empty, character '#' means that the corresponding cell contains an obstacle and grasshopper can't jump there. Character 'G' means that the grasshopper starts at this position and, finally, 'T' means that the target insect is located at this cell. It's guaranteed that characters 'G' and 'T' appear in this line exactly once.

输出

If there exists a sequence of jumps (each jump of length k), such that the grasshopper can get from his initial position to the cell with the insect, print "YES" (without quotes) in the only line of the input. Otherwise, print "NO" (without quotes).

样例输入

5 2

G#T

样例输出

YES

题意

给你一个长度为n的字符串,G是起点,T是终点,现在你每步要走距离为k,现在问你能否从G走到T。

题解

直接暴力bfs好了

代码

#include<bits/stdc++.h>
using namespace std;
const int maxn = 1e2+7;
string s;
int vis[maxn],st,n,ed,k;
int main()
{
    queue<int>Q;
    cin>>n>>k;
    cin>>s;
    for(int i=0;i<s.size();i++)
        if(s[i]=='G')st=i;
        else if(s[i]=='T')ed=i;
    Q.push(st);
    while(!Q.empty()){
        int now=Q.front();
        Q.pop();
        if(vis[now])continue;
        vis[now]=1;
        if(now+k<s.size()&&vis[now+k]==0&&s[now+k]!='#')
            Q.push(now+k);
        if(now-k>=0&&vis[now-k]==0&&s[now-k]!='#')
            Q.push(now-k);
    }
    if(vis[ed])cout<<"YES"<<endl;
    else cout<<"NO"<<endl;
}
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