#include #include #include #include #include #define _USE_MATH_DEFINES #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; #define FOR(i,m,n) for(int i=(m);i<(n);++i) #define REP(i,n) FOR(i,0,n) #define ALL(v) (v).begin(),(v).end() const int INF = 0x3f3f3f3f; const long long LINF = 0x3f3f3f3f3f3f3f3fLL; const double EPS = 1e-8; const int MOD = 1000000007; // 998244353; const int dy[] = {1, 0, -1, 0}, dx[] = {0, -1, 0, 1}; /*-------------------------------------------------*/ int main() { cin.tie(0); ios::sync_with_stdio(false); // freopen("input.txt", "r", stdin); int h, w, K; cin >> h >> w >> K; vector > c(h, vector(w)); REP(i, h) REP(j, w) cin >> c[i][j]; vector > > cnt(26, vector >(h, vector(w, 0))); REP(i, h) { REP(j, w) { REP(k, 26) if (j > 0) cnt[k][i][j] = cnt[k][i][j - 1]; ++cnt[c[i][j] - 'a'][i][j]; } } REP(j, w) { FOR(i, 1, h) REP(k, 26) cnt[k][i][j] += cnt[k][i - 1][j]; } int plus; for (plus = 0; plus * plus < K; ++plus) {} --plus; long long ans = 0; REP(i, h) REP(j, w) { if ((h - i) * (w - j) < K) continue; int tmp = (i < j ? h - (j - i) - 1 : h - 1); vector memo(tmp - i + 1, -1); memo[tmp - i] = 0; int Y1 = i, X1 = j, Y2 = tmp, X2 = j + tmp - i; REP(k, 26) { int res = cnt[k][Y2][X2]; if (res == 0) continue; if (Y1 > 0) res -= cnt[k][Y1 - 1][X2]; if (X1 > 0) res -= cnt[k][Y2][X1 - 1]; if (Y1 > 0 && X1 > 0) res += cnt[k][Y1 - 1][X1 - 1]; if (res > 0) ++memo[tmp - i]; if (memo[tmp - i] + (25 - k) < K) break; if (memo[tmp - i] > K) break; } // cout << tmp << (j == w - 1 ? '\n' : ' '); if (memo[tmp - i] < K) continue; int lb = i - 1 + plus, ub = tmp; while (ub - lb > 1) { int mid = (lb + ub) / 2; int l = memo[mid - i]; if (l == -1) { int y1 = i, x1 = j, y2 = mid, x2 = j + mid - i; l = 0; REP(k, 26) { int res = cnt[k][y2][x2]; if (res == 0) continue; if (y1 > 0) res -= cnt[k][y1 - 1][x2]; if (x1 > 0) res -= cnt[k][y2][x1 - 1]; if (y1 > 0 && x1 > 0) res += cnt[k][y1 - 1][x1 - 1]; if (res > 0) ++l; if (l + (25 - k) < K) break; if (l > K) break; } memo[mid - i] = l; } (l >= K ? ub : lb) = mid; } int mn = ub; lb = i - 1 + plus; ub = tmp; if (memo[tmp - i] > K) { while (ub - lb > 1) { int mid = (lb + ub) / 2; int l = memo[mid - i]; if (l == -1) { int y1 = i, x1 = j, y2 = mid, x2 = j + mid - i; l = 0; REP(k, 26) { int res = cnt[k][y2][x2]; if (res == 0) continue; if (y1 > 0) res -= cnt[k][y1 - 1][x2]; if (x1 > 0) res -= cnt[k][y2][x1 - 1]; if (y1 > 0 && x1 > 0) res += cnt[k][y1 - 1][x1 - 1]; if (res > 0) ++l; if (l + (25 - k) < K) break; if (l > K) break; } memo[mid - i] = l; } (l > K ? ub : lb) = mid; } } int mx = ub + (memo[tmp - i] <= K ? 1 : 0); ans += mx - mn; // cout << i << ' ' << j << ' ' << mn << ' ' << mx << '\n'; } cout << ans << '\n'; return 0; }