10067 - Playing with Wheels

本文探讨了如何通过算法解决特定数值序列的转换问题,包括序列的起点、终点定义、状态跟踪、路径搜索等关键步骤。文章详细介绍了使用队列、哈希表等数据结构进行优化的方法,并提供了实例代码来实现解决方案。

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#include<cstdio>
#include<cstring>
#include<cstdlib>
#include<queue>
int first[5],end[5];
int vis[20010];
using namespace std;
struct D
{
    int d;
    int p[5];
};
int hash(int *s)
{
    int temp=0;
    for(int i = 0; i < 4; i++)
        temp += s[i] + temp*10;
    return temp;
}
int try_insert(int *s)
{
    int x = hash(s);
    if(!vis[x])
        return vis[x] = 1;
    return 0;
}
int solve()
{
    queue<D> q;
    D u,v;
    u.d = 0;
    memcpy(u.p,first,sizeof(first));
    q.push(u);
    while(!q.empty())
    {
        u = q.front();
        q.pop();
        if(!memcmp(u.p,end,sizeof(end)))
        {
            printf("%d\n",u.d);
            return 0;
        }
        for(int i = 0; i < 4; i++)
        {
            v.d = u.d+1;
            memcpy(v.p,u.p,sizeof(u.p));
            v.p[i] = (10+u.p[i]+1)%10;
            if(try_insert(v.p))
                q.push(v);
            v.d = u.d+1;
            memcpy(v.p,u.p,sizeof(u.p));
            v.p[i] = (10+u.p[i]-1)%10;
            if(try_insert(v.p))
                q.push(v);
        }
    }
    printf("-1\n");
}
int main()
{
    int t,n;
    scanf("%d",&t);
    while(t--)
    {
        memset(vis,0,sizeof(vis));
        for(int i = 0; i < 4; i++)
            scanf("%d",&first[i]);
        for(int i = 0; i < 4; i++)
            scanf("%d",&end[i]);
        scanf("%d",&n);
        for(int i = 0; i < n; i++)
        {
            int te[5];
            for(int j = 0; j < 4; j++)
                scanf("%d",&te[j]);
            vis[hash(te)] = 1;
        }
        solve();
    }
    return 0;
}
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This involves setting up headers that define how long browsers or CDNs should cache these files before checking back with the origin server[^1]. ```typescript export default defineNuxtConfig({ nitro: { routeRules: { '/static/**': { swr: true }, '/images/**': { etag: true } } } }) ``` This configuration ensures specific directories have optimized caching behaviors such as using stale-while-revalidate (`swr`) strategy which allows serving cached content immediately while updating it in the background. #### Implementing Server Middleware for Dynamic Content For dynamic pages where data might change frequently but not on every request, implementing middleware logic through Nuxt's built-in routing system helps manage when and what gets cached effectively[^2]. 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