#include <bits/stdc++.h>   using namespace std;   struct fastIO {     inline fastIO operator>>(int& num) {       num = 0;       char c = getchar();       while (c !=  -  && (c <  0  || c >  9 )) c = getchar();       bool foo = 0;       if (c ==  - ) {         foo = 1;         c = getchar();       }       while (c >=  0  && c <=  9 ) {         num = (num << 3) + (num << 1) + c -  0 ;         c = getchar();       }       if (foo) num = -num;       return *this;     }     inline fastIO operator>>(long long& num) {       num = 0;       char c = getchar();       while (c !=  -  && (c <  0  || c >  9 )) c = getchar();       bool foo = 0;       if (c ==  - ) {         foo = 1;         c = getchar();       }       while (c >=  0  && c <=  9 ) {         num = (num << 3) + (num << 1) + c -  0 ;         c = getchar();       }       if (foo) num = -num;       return *this;     }     inline fastIO operator>>(float& num) {       scanf( %f , &num);       return *this;     }     inline fastIO operator>>(double& num) {       scanf( %lf , &num);       return *this;     }     inline fastIO operator>>(long double& num) {       scanf( %Lf , &num);       return *this;     }     inline fastIO operator>>(char& num) {       num = getchar();       while (num ==     || num ==   n ) num = getchar();       return *this;     }     inline fastIO operator>>(char* num) {       int cnt = 0;       char c = getchar();       while (c ==     || c ==   n ) c = getchar();       while (c !=     && c !=   n ) {         num[cnt++] = c;         c = getchar();       }       num[cnt] = 0;       return *this;     }     inline fastIO operator>>(string& num) {       cin >> num;       return *this;     }     inline void printInt(const int& num) {       if (num < 10) {         putchar(num +  0 );         return;       }       printInt(num / 10);       putchar((num % 10) +  0 );     }     inline void printINT(const long long& num) {       if (num < 10) {         putchar(num +  0 );         return;       }       printINT(num / 10);       putchar((num % 10) +  0 );     }     inline fastIO operator<<(const int& num) {       if (num < 0)         putchar( - ), printInt(-num);       else         printInt(num);       return *this;     }     inline fastIO operator<<(const long long& num) {       if (num < 0)         putchar( - ), printINT(-num);       else         printINT(num);       return *this;     }     inline fastIO operator<<(const float& num) {       printf( %.10f , num);       return *this;     }     inline fastIO operator<<(const double& num) {       printf( %.16lf , num);       return *this;     }     inline fastIO operator<<(const long double& num) {       printf( %.20Lf , num);       return *this;     }     inline fastIO operator<<(const char& num) {       putchar(num);       return *this;     }     inline fastIO operator<<(const char* num) {       for (int i = 0; num[i]; i++) putchar(num[i]);       return *this;     }     inline fastIO operator<<(const string& num) {       cout << num;       return *this;     }   } fio;   int n, m, k;   int fuck[17][17];   int shit[17][17][17];   int dy[17];   int ans = 0;   void dfs(int x, int y, int mx) {     if (x == n) {       for (int i = 1; i <= mx; i++)         for (int j = i + 1; j <= mx; j++)           if (dy[i] && dy[j] && dy[i] == dy[j]) return;       int fri = 0, bb = k;       for (int i = 1; i <= mx; i++) {         if (!dy[i])           fri++;         else           bb--;       }       int fk = 1;       for (int i = 0; i < fri; i++) {         fk *= bb;         bb--;       }       ans += fk;       if (ans > 1000000007) ans -= 1000000007;       return;     }     for (int i = 1; i <= mx + 1; i++) {       if (shit[x][y][i]) continue;       for (int ii = x; ii < n; ii++)         for (int jj = y; jj < m; jj++) shit[ii][jj][i]++;       bool fau = 1;       if (fuck[x][y] && dy[i] && fuck[x][y] != dy[i]) fau = 0;       if (fau) {         bool dyed = 0;         if (!dy[i]) {           dy[i] = fuck[x][y];           dyed = 1;         }         if (y < m - 1)           dfs(x, y + 1, min(max(mx, i), k - 1));         else           dfs(x + 1, 0, min(max(mx, i), k));         if (dyed) dy[i] = 0;       }       for (int ii = x; ii < n; ii++)         for (int jj = y; jj < m; jj++) shit[ii][jj][i]--;     }   }   int main() {     fio >> n >> m >> k;     if (n + m - 1 > k) {       fio <<  0 n ;       return 0;     }     for (int i = 0; i < n; i++)       for (int j = 0; j < m; j++) fio >> fuck[i][j];     dfs(0, 0, 0);     fio << ans <<   n ;     return 0;   }