13945.cpp

# pragma GCC optimize ("O3")
# pragma GCC optimize ("Ofast")
# pragma GCC optimize ("unroll-loops")

#include <bits/stdc++.h>
//#include <ext/pb_ds/assoc_container.hpp>
//#include <ext/pb_ds/tree_policy.hpp>

#pragma warning(disable:4996)
#pragma comment(linker, "/STACK:336777216")

using namespace std;
//using namespace __gnu_pbds;

typedef long long ll;
typedef pair<int, int> pii;
typedef vector<int> vi;
typedef tuple<int, int, int> ti3;
typedef tuple<int, int, int, int> ti4;
typedef stack<int> si;
typedef queue<int> qi;
typedef priority_queue<int> pqi;
typedef pair<ll, ll> pll;
typedef vector<ll> vl;
typedef tuple<ll, ll, ll> tl3;
typedef tuple<ll, ll, ll, ll> tl4;
typedef stack<ll> sl;
typedef queue<ll> ql;
typedef priority_queue<ll> pql;
//typedef tree<int, null_type, less<int>, rb_tree_tag, tree_order_statistics_node_update>ordered_set;

const int dx[4] = { 1,-1,0,0 };
const int dy[4] = { 0,0,1,-1 };
const int ddx[8] = { 0,0,1,1,1,-1,-1,-1 }, ddy[8] = { 1,-1,1,0,-1,1,0,-1 };
const int INF = 0x7f7f7f7f;
const ll INF_LL = 0x7f7f7f7f7f7f7f7f;
ll POW(ll a, ll b, ll MMM) { ll ret = 1; for (; b; b >>= 1, a = (a*a) % MMM)if (b & 1)ret = (ret*a) % MMM; return ret; }
ll GCD(ll a, ll b) { return b ? GCD(b, a%b) : a; }
ll LCM(ll a, ll b) { if (a == 0 || b == 0)return a + b; return a / GCD(a, b) * b; }
ll INV(ll a, ll m) {
	ll m0 = m, y = 0, x = 1;
	if (m == 1)	return 0;
	while (a > 1) {
		ll q = a / m;
		ll t = m;
		m = a % m, a = t;
		t = y;
		y = x - q * y;
		x = t;
	}
	if (x < 0) x += m0;
	return x;
}
pll EXGCD(ll a, ll b) {
	if (b == 0) return { 1,0 };
	auto t = EXGCD(b, a%b);
	return { t.second,t.first - t.second*(a / b) };
}
bool OOB(ll x, ll y, ll N, ll M) { return 0 > x || x >= N || 0 > y || y >= M; }
#define X first
#define Y second
#define rep(i,a,b) for(int i = a; i < b; i++)
#define pb push_back
#define all(x) (x).begin(), (x).end()
#define sz(a) ((int)(a.size()))
#define sf1(a) cin >> a
#define sf2(a,b) cin >> a >> b
#define sf3(a,b,c) cin >> a >> b >> c
#define sf4(a,b,c,d) cin >> a >> b >> c >> d
#define sf5(a,b,c,d,e) cin >> a >> b >> c >> d >> e
#define sf6(a,b,c,d,e,f) cin >> a >> b >> c >> d >> e >> f
#define pf1(a) cout << (a) << ' '
#define pf2(a,b) cout << (a) << ' ' << (b) << ' '
#define pf3(a,b,c) cout << (a) << ' ' << (b) << ' '<< (c) << ' '
#define pf4(a,b,c,d) cout << (a) << ' ' << (b) << ' '<< (c) << ' '<< (d) << ' '
#define pf5(a,b,c,d,e) cout << (a) << ' ' << (b) << ' '<< (c) << ' '<< (d) << ' '<< (e) << ' '
#define pf6(a,b,c,d,e,f) cout << (a) << ' ' << (b) << ' '<< (c) << ' '<< (d) << ' '<< (e) << ' ' << (f) << ' '
#define pf0l() cout << '\n';
#define pf1l(a) cout << (a) << '\n'
#define pf2l(a,b) cout << (a) << ' ' << (b) << '\n'
#define pf3l(a,b,c) cout << (a) << ' ' << (b) << ' '<< (c) << '\n'
#define pf4l(a,b,c,d) cout << (a) << ' ' << (b) << ' '<< (c) << ' '<< (d) << '\n'
#define pf5l(a,b,c,d,e) cout << (a) << ' ' << (b) << ' '<< (c) << ' '<< (d) << ' '<< (e) << '\n'
#define pf6l(a,b,c,d,e,f) cout << (a) << ' ' << (b) << ' '<< (c) << ' '<< (d) << ' '<< (e) << ' ' << (f) << '\n'
#define pfvec(V) for(auto const &t : V) pf1(t)
#define pfvecl(V) for(auto const &t : V) pf1(t); pf0l()
typedef vector< vector<char> > window;
int R, C;
char board[130][130];
int wr, wc;
// only wr==wc
window rot90(window& W) {
	window ret;
	ret.resize(wr);
	rep(i, 0, wr) ret[i].resize(wc);
	rep(i, 0, wr) rep(j, 0, wc) ret[j][wc - 1 - i] = W[i][j];
	return ret;
}
window rot180(window& W) {
	window ret;
	ret.resize(wr);
	rep(i, 0, wr) ret[i].resize(wc);
	rep(i, 0, wr) rep(j, 0, wc) ret[wr - 1 - i][wc - 1 - j] = W[i][j];
	return ret;
}
bool isCol(window& w1, window& w2) {
	if (w1 == w2) return true;
	if (rot180(w1) == w2) return true;
	if (wc == wr) {
		if (rot90(w1) == w2 || w1 == rot90(w2)) return true;
	}
	return false;
}
int main(void) {
	ios::sync_with_stdio(false);
	cin.tie(0);
	sf2(R, C);
	rep(i, 0, R) sf1(board[i]);
	wr = 1;
	while (board[wr][1] != '#')wr++;
	wr--;
	wc = 1;
	while (board[1][wc] != '#')wc++;
	wc--;
	vector<window> V;
	for (int row = 1; row < R - 1; row += wr+1) {
		for (int col = 1; col < C - 1; col += wc+1) {
			window w;
			w.resize(wr);
			rep(i, 0, wr) w[i].resize(wc);
			rep(i, row, row + wr) rep(j, col, col + wc) w[i-row][j-col] = board[i][j];
			bool isCollide = false;
			for (auto& elem : V) {
				if (isCol(elem, w)) {
					isCollide = true;
					break;
				}
			}
			if (!isCollide)
				V.pb(w);

		}
	}
	pf1l(sz(V));
}