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  • FZU 1977 Pandora adventure

    FZU_1977

        对于必须要走的点,那么在那个点就一定要有插头。而对于不必走的点,如果dp到该点时没有插头,那么既可以在这个点放两个插头开辟一个新的连通分量,也可以不放插头,相当于不经过这个点。

        此外由于回头只能有一条,而形成回路的最后一个点又是不确定的,所以可以再额外记录一下当前是否已经形成了回路,这样如果已经形成了回路而后面又遇到了插头或者必须要走的点,那么这个方案自然就是不合法的。

    #include<stdio.h>
    #include<string.h>
    #define MAXD 15
    #define HASH 30007
    #define SIZE 500010
    int N, M, maze[MAXD][MAXD], ch[MAXD], code[MAXD], isend;
    char b[MAXD];
    struct Hashmap
    {
        int head[HASH], next[SIZE], size;
        long long state[SIZE], f[SIZE];
        void init()
        {
            memset(head, -1, sizeof(head));
            size = 0;
        }
        void push(long long st, long long ans)
        {
            int i, h = st % HASH;
            for(i = head[h]; i != -1; i = next[i])
                if(st == state[i])
                {
                    f[i] += ans;
                    return ;
                }
            state[size] = st, f[size] = ans;
            next[size] = head[h];
            head[h] = size ++;
        }
    }hm[2];
    void decode(int *code, int m, long long st)
    {
        int i;
        isend = st & 7;
        for(i = m; i >= 0; i --)
        {
            st >>= 3;
            code[i] = st & 7;
        }
    }
    long long encode(int *code, int m)
    {
        int i, cnt = 1;
        long long st = 0;
        memset(ch, -1, sizeof(ch));
        ch[0] = 0;
        for(i = 0; i <= m; i ++)
        {
            if(ch[code[i]] == -1)
                ch[code[i]] = cnt ++;
            code[i] = ch[code[i]];
            st <<= 3;
            st |= code[i];
        }
        st <<= 3;
        st |= isend;
    }
    void init()
    {
        int i, j;
        scanf("%d%d", &N, &M);
        memset(maze, 0, sizeof(maze));
        for(i = 1; i <= N; i ++)
        {
            scanf("%s", b + 1);
            for(j = 1; j <= M; j ++)
            {
                if(b[j] == 'O')
                    maze[i][j] = 2;
                else if(b[j] == '*')
                    maze[i][j] = 1;
            }
        }
    }
    void shift(int *code, int m)
    {
        int i;
        for(i = m; i > 0; i --)
            code[i] = code[i - 1];
        code[0] = 0;
    }
    void dpblock(int i, int j, int cur)
    {
        int k;
        for(k = 0; k < hm[cur].size; k ++)
        {
            decode(code, M, hm[cur].state[k]);
            code[j - 1] = code[j] = 0;
            if(j == M)
                shift(code, M);
            hm[cur ^ 1].push(encode(code, M), hm[cur].f[k]);
        }
    }
    void dpblank(int i, int j, int cur)
    {
        int k, t, left, up;
        for(k = 0; k < hm[cur].size; k ++)
        {
            decode(code, M, hm[cur].state[k]);
            left = code[j - 1], up = code[j];
            if(isend)
            {
                if(left || up || maze[i][j] == 2)
                    continue;
                code[j - 1] = code[j] = 0;
                if(j == M)
                    shift(code, M);
                hm[cur ^ 1].push(encode(code, M), hm[cur].f[k]);
                continue;
            }
            if(left && up)
            {
                if(left == up)
                {
                    code[j - 1] = code[j] = 0, isend = 1;
                    if(j == M)
                        shift(code, M);
                    hm[cur ^ 1].push(encode(code, M), hm[cur].f[k]);
                }
                else
                {
                    code[j - 1] = code[j] = 0;
                    for(t = 0; t <= M; t ++)
                        if(code[t] == up)
                            code[t] = left;
                    if(j == M)
                        shift(code, M);
                    hm[cur ^ 1].push(encode(code, M), hm[cur].f[k]);
                }
            }
            else if(left || up)
            {
                if(maze[i][j + 1])
                {
                    code[j - 1] = 0, code[j] = left + up;
                    hm[cur ^ 1].push(encode(code, M), hm[cur].f[k]);
                }
                if(maze[i + 1][j])
                {
                    code[j - 1] = left + up, code[j] = 0;
                    if(j == M)
                        shift(code, M);
                    hm[cur ^ 1].push(encode(code, M), hm[cur].f[k]);
                }
            }
            else
            {
                if(maze[i + 1][j] && maze[i][j + 1])
                {
                    code[j - 1] = code[j] = 13;
                    hm[cur ^ 1].push(encode(code, M), hm[cur].f[k]);
                }
                if(maze[i][j] == 1)
                {
                    code[j - 1] = code[j] = 0;
                    if(j == M)
                        shift(code, M);
                    hm[cur ^ 1].push(encode(code, M), hm[cur].f[k]);
                }
            }
        }
    }
    void solve()
    {
        int i, j, cur = 0;
        long long ans = 0;
        hm[cur].init();
        hm[cur].push(0, 1);
        for(i = 1; i <= N; i ++)
            for(j = 1; j <= M; j ++)
            {
                hm[cur ^ 1].init();
                if(maze[i][j] == 0)
                    dpblock(i, j, cur);
                else
                    dpblank(i, j, cur);
                cur ^= 1;
            }
        for(i = 0; i < hm[cur].size; i ++)
            ans += hm[cur].f[i];
        printf("%I64d\n", ans);
    }
    int main()
    {
        int t, tt;
        scanf("%d", &t);
        for(tt = 0; tt < t; tt ++)
        {
            init();
            printf("Case %d: ", tt + 1);
            solve();
        }
        return 0;
    }
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  • 原文地址:https://www.cnblogs.com/staginner/p/2460836.html
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