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    #include<bits/stdc++.h>
    using namespace std;
    typedef long long ll;
    
    const int N = 9;
    const int MaxN = N * N * N + 10;
    const int MaxM = N * N * 4 + 10;
    const int maxnode = MaxN * 4 + MaxM + 10;
    char g[MaxN];
    struct DLX {
        int n, m, size;
        int U[maxnode], D[maxnode], R[maxnode], L[maxnode], Row[maxnode], Col[maxnode];
        int H[MaxN], S[MaxM];
        int ansd, ans[MaxN];
        void init(int _n, int _m) {
            n = _n;
            m = _m;
            for(int i = 0; i <= m; ++i) {
                S[i] = 0;
                U[i] = D[i] = i;
                L[i] = i - 1;
                R[i] = i + 1;
            }
            R[m] = 0;
            L[0] = m;
            size = m;
            for(int i = 1; i <= n; ++i)
                H[i] = -1;
        }
    
        void Link(int r, int c) {
            ++S[Col[++size] = c];
            Row[size] = r;
            D[size] = D[c];
            U[D[c]] = size;
            U[size] = c;
            D[c] = size;
            if(H[r] < 0)
                H[r] = L[size] = R[size] = size;
            else {
                R[size] = R[H[r]];
                L[R[H[r]]] = size;
                L[size] = H[r];
                R[H[r]] = size;
            }
        }
    
        void remove(int c) {
            L[R[c]] = L[c];
            R[L[c]] = R[c];
            for(int i = D[c]; i != c; i = D[i])
                for(int j = R[i]; j != i; j = R[j]) {
                    U[D[j]] = U[j];
                    D[U[j]] = D[j];
                    --S[Col[j]];
                }
        }
    
        void resume(int c) {
            for(int i = U[c]; i != c; i = U[i])
                for(int j = L[i]; j != i; j = L[j])
                    ++S[Col[U[D[j]] = D[U[j]] = j]];
            L[R[c]] = R[L[c]] = c;
        }
    
        bool Dance(int d) {
            if(R[0] == 0) {
                for(int i = 0; i < d; ++i)
                    g[(ans[i] - 1) / 9] = (ans[i] - 1) % 9 + '1';
                for(int i = 0; i < N * N; ++i)
                    printf("%c", g[i]);
                printf("
    ");
                return true;
            }
            int c = R[0];
            for(int i = R[0]; i != 0; i = R[i]) {
                if(S[i] < S[c])
                    c = i;
            }
            remove(c);
            for(int i = D[c]; i != c; i = D[i]) {
                ans[d] = Row[i];
                for(int j = R[i]; j != i; j = R[j])
                    remove(Col[j]);
                if(Dance(d + 1))
                    return true;
                for(int j = L[i]; j != i; j = L[j])
                    resume(Col[j]);
            }
            resume(c);
            return false;
        }
    };
    
    void place(int &r, int &c1, int &c2, int &c3, int &c4, int i, int j, int k) {
        r = (i * N + j) * N + k;
        c1 = i * N + j + 1;
        c2 = N * N + i * N + k;
        c3 = N * N * 2 + j * N + k;
        c4 = N * N * 3 + ((i / 3) * 3 + (j / 3)) * N + k;
    }
    
    DLX dlx;
    
    int main() {
    #ifdef Yinku
        freopen("Yinku.in", "r", stdin);
    #endif // Yinku
        while(~scanf("%s", &g)) {
            if(g[0] == 'e')
                exit(0);
            dlx.init(N * N * N, N * N * 4);
            int r, c1, c2, c3, c4;
            for(int i = 0; i < N; ++i) {
                for(int j = 0; j < N; ++j) {
                    for(int k = 1; k <= N; ++k) {
                        if(g[i * N + j] == '.' || g[i * N + j] == '0' + k) {
                            place(r, c1, c2, c3, c4, i, j, k);
                            dlx.Link(r, c1);
                            dlx.Link(r, c2);
                            dlx.Link(r, c3);
                            dlx.Link(r, c4);
                        }
    
                    }
                }
            }
            dlx.Dance(0);
        }
        return 0;
    }
    
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  • 原文地址:https://www.cnblogs.com/Inko/p/11425010.html
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