#include <bits/stdc++.h> // https://oj.uz/problem/view/COCI20_satellti using namespace std; using ll = long long; #define fi first #define se second struct StringHash { int N, M; const ll MOD = (1LL << 61) - 1; const ll B = 9973; vector<ll> pow, hash, pref; StringHash(string& s, int m) : N(s.size()), M(m), pow(s.size()), hash(s.size()), pref(s.size()) { pow[0] = 1; for (int i = 1; i < N; ++i) pow[i] = (__int128)pow[i - 1] * B % MOD; hash[0] = s[0]; for (int i = 1; i < N; ++i) hash[i] = ((__int128)hash[i - 1] * B + s[i]) % MOD; pref[0] = hash[M - 1]; for (int i = 1; i < N; ++i) { int l = (i / M) * M; int r = l + M - 1; ll rightpart = hh(i, r); ll leftpart = hh(l, i - 1); ll row = (leftpart + (__int128)rightpart * pow[i - l]) % MOD; pref[i] = row + (i < M ? 0LL : pref[i - M]) * (__int128)pow[M] % MOD; } } ll hh(int l, int r) { if (l <= 0) return hash[r]; return (hash[r] - (__int128)hash[l - 1] * pow[r - l + 1] % MOD + MOD) % MOD; } ll getHash(int i, int len) { int to = i + (len / M) * M; ll block; if (to - M < 0) block = 0; else if (i - M < 0) block = pref[to - M]; else block = (pref[to - M] - (__int128)pref[i - M] * pow[to - i] % MOD + MOD) % MOD; if (len % M == 0) return block; int l = (to / M) * M; int r = l + M - 1; ll row = hh(to, min(to + len % M - 1, r)); if (r < to + len % M - 1) // goes over into next row { int toadd = len % M - (to - r + 1); if (toadd) row = ((__int128)row * pow[toadd] + hh(l, l + toadd - 1)) % MOD; } return ((__int128)block * pow[len % M] + row) % MOD; } }; int main() { cin.tie(NULL) -> sync_with_stdio(false); int N, M; cin >> N >> M; string image; for (int i = 0; i < N; ++i) { string s; cin >> s; image.append(s); } image.append(image); StringHash h(image, M); int ans = 0; for (int i = 0; i < N * M; ++i) { int lo = 1, hi = N * M; while (lo < hi) { int mid = (lo + hi) / 2; if (h.getHash(i, mid) == h.getHash(ans, mid)) // identical lo = mid + 1; else hi = mid; } // cout << i << ' ' << lo << endl; // cout << image[i + lo - 1] << ' ' << 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