nyoj 592 spiral grid(广搜)

时间:2023-03-08 21:44:30

题目链接:http://acm.nyist.net/JudgeOnline/problem.php?pid=592

解决以下问题后就方便用广搜解:

1、将数字坐标化,10000坐标为(0,0),这样就可以通过数字获得其坐标

2、通过一个坐标知道在这个位置上的数字是否为素数

#include<iostream>
#include<cstdio>
#include<cstring>
#include<cmath>
#include<queue>
using namespace std;
#define N 10000

][];
][];
bool tprime[N];
][] = {,, ,, -,, ,-}; 

struct Point {
    int x, y;
    bool isPrime;
}c[N+];

struct Node {
    int x, y, step;
    bool operator == (const Node &pra) const {
        return x == pra.x && y == pra.y;
    }
};

void init()
{
    int n = N;
    , end = (int)sqrt(N+0.5), i;
    )
    {
        for(i=start; i<=end; i++){
            c[n].x = start;
            c[n--].y = i;
        }
        ; i<end; i++){
            c[n].x = i;
            c[n--].y = end;
        }
        for(i=end; i>=start; i--){
            c[n].x = end;
            c[n--].y = i;
        }
        ; i>start; i--){
            c[n].x = i;
            c[n--].y = start;
        }
        start++; end--;
    }
}

void initPrime()
{
    memset(tprime, true, sizeof(tprime));
    memset(prime, true, sizeof(prime));
    prime[c[].x][c[].y] = false;
    int m = sqrt(N+0.5);
    ; i<=m; i++){
        if(tprime[i]){
            for(int j=i*i; j<=N; j+=i){
                tprime[j] = false;
                prime[c[j].x][c[j].y] = false;
            }
        }
    }
}

int bfs(int a, int b)
{
    memset(vis, false, sizeof(vis));
    Node start, target;
    start.x = c[a].x; start.y = c[a].y; start.step = ;
    target.x = c[b].x; target.y = c[b].y;
    queue<Node>que;
    que.push(start);
    vis[start.x][start.y] = true;
    while (!que.empty()) {
        Node cur = que.front();
        que.pop();
        if(cur == target)
            return cur.step;
        ; i<; i++){
            ];
            ];
             || ty< || tx>N || ty>N || prime[tx][ty] || vis[tx][ty]) continue;
            vis[tx][ty] = true;
            Node next; next.x = tx; next.y = ty; next.step = cur.step+;
            que.push(next);
        }
    }
    ;
}

int main()
{
    init();
    initPrime();
    ;
    while(cin>>a>>b){
        int res = bfs(a, b);
        cout<<"Case "<<(++cnt)<<": ";
        ){
            cout<<res<<endl;
        } else {
            cout<<"impossible"<<endl;
        }
    }

    ;
}