#include #include using namespace std; #define mx 100100 int sum = 0; int a[10][10]; inline int read() { char c = getchar(); if (c == '.') c = '0'; while (c < '0' || c > '9') { c = getchar(); if (c == '.') c = '0'; } return c - '0'; } struct dancing_link { int n, m, cnt; int l[mx], r[mx], u[mx], d[mx], row[mx], col[mx]; int h[mx]; int s[mx]; int ansk[mx]; void init(int _n, int _m) { n = _n, m = _m; int i; for (i = 0; i <= m; i++) { r[i] = i + 1; l[i] = i - 1; u[i] = d[i] = i; } r[m] = 0; l[0] = m; memset(h, -1, sizeof(h)); memset(s, 0, sizeof(s)); cnt = m + 1; } void link(int R, int C) { s[C]++; row[cnt] = R; col[cnt] = C; u[cnt] = C; d[cnt] = d[C]; u[d[C]] = cnt; d[C] = cnt; if (h[R] < 0) h[R] = r[cnt] = l[cnt] = cnt; else { r[cnt] = h[R]; l[cnt] = l[h[R]]; r[l[h[R]]] = cnt; l[h[R]] = cnt; } cnt++; } void remove(int c) { r[l[c]] = r[c], l[r[c]] = l[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]) { u[d[j]] = j; d[u[j]] = j; s[col[j]]++; } } r[l[c]] = c; l[r[c]] = c; } bool dance(int deep) { if (r[0] == 0) { int x, y, v; for (int i = 0; i < deep; i++) { x = (ansk[i] - 1) / 9 / 9; y = (ansk[i] - 1) / 9 % 9; v = (ansk[i]) % 9; if (v == 0) v = 9; a[x][y] = v; } return 1; } 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]) { ansk[deep] = row[i]; for (int j = r[i]; j != i; j = r[j]) remove(col[j]); if (dance(deep + 1) == 1) return 1; for (int j = l[i]; j != i; j = l[j]) resume(col[j]); } resume(c); return false; } } dlx; int main() { dlx.init(729, 324); int x; int o; for (int i = 0; i <= 8; i++) { for (int j = 0; j <= 8; j++) { a[i][j] = x = read(); for (int k = 1; k <= 9; k++) { if (x != k && x != 0) continue; o = i * 9 * 9 + j * 9 + k; dlx.link(o, i * 9 + j + 1); dlx.link(o, i * 9 + 81 + k); dlx.link(o, j * 9 + 81 * 2 + k); dlx.link(o, 81 * 3 + (i / 3 * 3 + j / 3) * 9 + k); } } } dlx.dance(0); for (int i = 0; i <= 8; i++) { for (int j = 0; j <= 8; j++) printf("%d", a[i][j]); printf("\n"); } return 0; }