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#include <bits/stdc++.h> using namespace std; void gao1() { long long a = 0, b = 0; for (int i = 29; i >= 0; i--) { cout << "? " << (a + (1ll << i)) << " " << a << endl; fflush(stdout); int x; cin >> x; if (x == -1) { a |= (1 << i); } } cout << "! " << a << " " << a << endl; fflush(stdout); return; } int main() { long long a = 0, b = 0; cout << "? " << 0 << " " << 0 << endl; fflush(stdout); int ttt; cin >> ttt; if (ttt == 0) { gao1(); return 0; } int flag = ttt; for (int i = 29; i >= 0; i--) { cout << "? " << (a + (1 << i)) << " " << (b + (1 << i)) << endl; fflush(stdout); int tmp; cin >> tmp; if (tmp == 0) { for (int j = i; j >= 0; j--) { cout << "? " << (a + (1 << j)) << " " << (b) << endl; fflush(stdout); int tt; cin >> tt; if (tt == -1) { a += (1 << j); b += (1 << j); } } cout << "! " << a << " " << b << endl; fflush(stdout); return 0; } else if (tmp == -flag) { if (flag == 1) { a += (1 << i); } else { b += (1 << i); } cout << "? " << (a) << " " << (b) << endl; fflush(stdout); cin >> flag; if (flag == 0) { for (int j = i - 1; j >= 0; j--) { cout << "? " << (a + (1 << j)) << " " << (b) << endl; fflush(stdout); int tt; cin >> tt; if (tt == -1) { a += (1 << j); b += (1 << j); } } cout << "! " << a << " " << b << endl; fflush(stdout); return 0; } } else { if (flag == 1) { cout << "? " << (a + (1 << i)) << " " << (b) << endl; fflush(stdout); int tmp; cin >> tmp; if (tmp == 0) { a += (1 << i); for (int j = i - 1; j >= 0; j--) { cout << "? " << (a + (1 << j)) << " " << (b) << endl; fflush(stdout); int tt; cin >> tt; if (tt == -1) { a += (1 << j); b += (1 << j); } } cout << "! " << a << " " << b << endl; fflush(stdout); return 0; } if (tmp == -1) { a += (1 << i); b += (1 << i); } } else if (flag == -1) { cout << "? " << (a) << " " << (b + (1 << i)) << endl; fflush(stdout); int tmp; cin >> tmp; if (tmp == 0) { b += (1 << i); for (int j = i - 1; j >= 0; j--) { cout << "? " << (a + (1 << j)) << " " << (b) << endl; fflush(stdout); int tt; cin >> tt; if (tt == -1) { a += (1 << j); b += (1 << j); } } cout << "! " << a << " " << b << endl; fflush(stdout); return 0; } if (tmp == 1) { a += (1 << i); b += (1 << i); } } } } cout << "! " << a << " " << b << endl; fflush(stdout); return 0; }
#include <bits/stdc++.h> using namespace std; int main() { int n, i, x = 0, y = 0, res1, res2, nxt; cout << "? 0 0" << endl; cin >> nxt; for (i = 29; i >= 0; i--) { cout << "? " << x + (1 << i) << ' ' << y << endl; cin >> res1; cout << "? " << x << ' ' << y + (1 << i) << endl; cin >> res2; if (res1 == res2) { if (nxt == 1) x += 1 << i; else y += 1 << i; nxt = res1; } if (res1 < res2) { x += 1 << i; y += 1 << i; } } cout << "! " << x << ' ' << y; return 0; }
#include <bits/stdc++.h> using namespace std; int eq(int a, int b, int x) { int res = 0; for (; x >= 0; x--) { int c = a, d = b; int t = (1 << x); cout << "? " << (c ^ t) << " " << d << endl; int res1 = 0; cin >> res1; if (res1 == -1) { a = (a ^ t); b = (b ^ t); res = (res ^ t); } } return res; } int main() { ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0); int a = 0, b = 0; int c = 0, d = 0; int x = 29; int res = 0; int agt = 0; cout << "? " << c << " " << d << endl; cin >> res; if (res == 1) { agt = 1; } else if (res == -1) agt = -1; else { int temp = eq(a, b, x); a = (a ^ temp); b = (b ^ temp); cout << "! " << a << " " << b << endl; return 0; } for (; x >= 0; x--) { c = a, d = b; int t = (1 << x); cout << "? " << (c ^ t) << " " << d << endl; int res1 = 0, res2 = 0; cin >> res1; cout << "? " << (c) << " " << (d ^ t) << endl; cin >> res2; if (res1 * res2 == 0) { if (res1 == 0 && res2 == 0) { if (agt > 0) a = a ^ t; else b = b ^ t; int temp = eq(a, b, x - 1); a = (a ^ temp); b = (b ^ temp); cout << "! " << a << " " << b << endl; return 0; } if (res1 == 0) { b = (b ^ t); } else { a = (a ^ t); } int temp = eq(a, b, x - 1); a = (a ^ temp); b = (b ^ temp); cout << "! " << a << " " << b << endl; return 0; } if (res1 * res2 == -1) { if (res1 == -1) { a = (a ^ t); b = (b ^ t); } } else { if (agt > 0) { a = (a ^ t); } else b = (b ^ t); agt = res1; } } return 0; }
#include <bits/stdc++.h> using namespace std; const int bitmax = 29; int question(int c, int d) { cout << "? " << c << " " << d << endl; cout.flush(); int res; cin >> res; return res; } int a, b; int main() { int rel = question(a, b); for (int bit = bitmax; bit >= 0; bit--) { int B = 1 << bit; if (rel == 1) { if (question(a | B, b | B) == 1) { if (question(a | B, b) == -1) { a |= B; b |= B; } } else { a |= B; rel = question(a, b); } } else if (rel == -1) { if (question(a | B, b | B) == -1) { if (question(a | B, b) == -1) { a |= B; b |= B; } } else { b |= B; rel = question(a, b); } } else { if (question(a, b | B) == 1) { a |= B; b |= B; } } } cout << "! " << a << " " << b << endl; cout.flush(); }
#include <bits/stdc++.h> using namespace std; const long long N = 100005; void solve() { long long n, m; long long a = 0; long long b = 0; cout << "? " << a << " " << b << '\n'; long long y; cin >> y; for (long long i = 29; i >= 0; i--) { cout << "? " << a << " " << b + (1LL << i) << '\n'; cout.flush(); long long x = 0; cin >> x; cout << "? " << a + (1LL << i) << " " << b << '\n'; cout.flush(); long long z = 0; cin >> z; if (x == 1 and z == -1) { a = a + (1LL << i); b = b + (1LL << i); } else if (x == -1 and z == 1) { continue; } else if (x == 1 and z == 1) { if (y == 1) a = a + (1 << i); else b = b + (1 << i); y = 1; } else if (x == -1 and z == -1) { if (y == 1) a = a + (1 << i); else b = b + (1 << i); y = -1; } else { if (y == 1) a = a + (1 << i); else b = b + (1 << i); y = 0; } } cout << "! " << a << " " << b << '\n'; cout.flush(); } signed main() { long long t; ios_base::sync_with_stdio(false); t = 1; while (t--) solve(); return 0; }
#include <bits/stdc++.h> #pragma GCC optimize("O3") using namespace std; const double PI = acos(-1); long long fast_exp(long long a, long long b) { long long res = 1; while (b) { if (b & 1LL) { res *= a; res %= 1000000007; } b >>= 1LL; a *= a; a %= 1000000007; } return res; } int query(int x, int y) { cout << "? " << x << ' ' << y << "\n" << flush; int q; cin >> q; if (q == -2) { exit(1); } return q; } signed main(int argc, char* argv[], char* envp[]) { ios_base::sync_with_stdio(false); cin.tie(NULL); cout.precision(20); cerr << fixed; cout << fixed; int a = 0, b = 0, c = 0, d = 0; int res = query(c, d); for (int i = 29; i >= 0; i--) { int q = query(c | (1 << i), d | (1 << i)); if ((res == -1 and q == 1) or (res == 1 and q == -1)) { if (res == -1) { b |= (1 << i); d |= (1 << i); } else if (res == 1) { a |= (1 << i); c |= (1 << i); } res = query(c, d); } else { int q1 = query(c, d | (1 << i)); if (q1 == 1) { a |= (1 << i); b |= (1 << i); c |= (1 << i); d |= (1 << i); } } } cout << "! " << a << ' ' << b << endl << flush; return 0; }
#include <bits/stdc++.h> using namespace std; int main() { unsigned long a = (1 << 30), b = (1 << 30); unsigned long ansa = 0x0, ansb = 0x0; int diff, q1, q; printf("? 0 0\n"); fflush(stdout); scanf("%d", &diff); for (int k = 1; k <= 30; k++) { a = (ansa)&0xffffffff; b = (ansb)&0xffffffff; a |= (1 << (30 - k)); printf("? %lu %lu\n", a, b); fflush(stdout); scanf("%d", &q); b |= (1 << (30 - k)); a ^= (1 << (30 - k)); printf("? %lu %lu\n", a, b); fflush(stdout); scanf("%d", &q1); if (q != q1) { if (q == -1) { ansa |= (1 << (30 - k)); ansb |= (1 << (30 - k)); } } else { if (diff == 1) { ansa |= (1 << (30 - k)); } else { ansb |= (1 << (30 - k)); } diff = q; } } printf("! %ld %ld", ansa, ansb); return 0; }
#include <bits/stdc++.h> using namespace std; int main() { int TESTS = 1; while (TESTS--) { long long i, j, k, l, m, n, c, d, v[31] = {0}, a, b; c = pow(2, 30) - 1; d = pow(2, 30) - 1; cout << "? " << c << " " << d << '\n'; fflush(stdout); cin >> k; j = k * (-1); a = 0; b = 0; c = 0; d = 0; for (m = 29; m >= 0; m--) { c = c + pow(2, m); d = d + pow(2, m); cout << "? " << c << " " << d << '\n'; fflush(stdout); cin >> k; if (k == 0) break; if (k != j && k != 0) { v[m] = 1; if (j == 1) { a = a + pow(2, m); c = c - pow(2, m); } else { b = b + pow(2, m); d -= pow(2, m); } cout << "? " << c << " " << d << '\n'; fflush(stdout); cin >> k; j = k; } } c = a; d = b; for (i = 0; i <= 29; i++) { if (v[i] == 1) continue; c += pow(2, i); cout << "? " << c << " " << d << '\n'; fflush(stdout); cin >> k; if (k == -1) { a += pow(2, i); b += pow(2, i); } c -= pow(2, i); } cout << "! " << a << " " << b << '\n'; fflush(stdout); } return 0; }
#include <bits/stdc++.h> using namespace std; int query(int a, int b) { int answer; cout << "? " << a << " " << b << endl; cin >> answer; return answer; } int main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); int a = 0, b = 0; int big = query(0, 0); for (int i = 29; i >= 0; i--) { int ans1 = query(a ^ (1 << i), b); int ans2 = query(a, b ^ (1 << i)); if (ans1 == ans2) { if (big == 1) a ^= (1 << i); else b ^= (1 << i); big = ans1; } else { if (ans2 == 1) { a ^= (1 << i); b ^= (1 << i); } } } cout << "! " << a << " " << b << endl; }
#include <bits/stdc++.h> using namespace std; int main() { int ans1 = 0, ans2 = 0; int ansa = 0, ansb = 0; printf("? 0 0\n"); fflush(stdout); int d; scanf("%d", &d); for (int i = (1 << 29); i != 0; i /= 2) { printf("? %d %d\n", ans1 + i, ans2 + i); fflush(stdout); int p; scanf("%d", &p); if (p == d) { printf("? %d %d\n", ans1 + i, ans2); fflush(stdout); int pp; scanf("%d", &pp); if (pp == -1) { ansa += i; ansb += i; } } else { if (p == -1 && d == 1) { ans1 += i; ansa += i; } if (p == 1 && d == -1) { ans2 += i; ansb += i; } printf("? %d %d\n", ans1, ans2); fflush(stdout); scanf("%d", &d); } } printf("! %d %d\n", ansa, ansb); }
#include <bits/stdc++.h> using namespace std; int ask(int c, int d) { cout << "? " << c << ' ' << d << endl; int ans; cin >> ans; return ans; } int main() { cout.flush(); int a = 0, b = 0, big = ask(0, 0); for (int i = 29; i >= 0; i--) { int f = ask(a ^ (1 << i), b), s = ask(a, b ^ (1 << i)); if (f == s) { if (big == 1) a ^= (1 << i); else b ^= (1 << i); big = f; } else if (f == -1) { a ^= (1 << i); b ^= (1 << i); } } cout << "! " << a << ' ' << b << endl; }
#include <bits/stdc++.h> using namespace std; vector<string> vec_splitter(string s) { for (char& c : s) c = c == ',' ? ' ' : c; stringstream ss; ss << s; vector<string> res; for (string z; ss >> z; res.push_back(z)) ; return res; } void debug_out(vector<string> args, int idx) { cerr << endl; } template <typename Head, typename... Tail> void debug_out(vector<string> args, int idx, Head H, Tail... T) { if (idx > 0) cerr << ", "; stringstream ss; ss << H; cerr << args[idx] << " = " << ss.str(); debug_out(args, idx + 1, T...); } void localTest() {} map<pair<long long, long long>, long long> dp; long long query(long long c, long long d) { if (dp.find({c, d}) != dp.end()) { return dp[{c, d}]; } cout << "? " << c << " " << d << "\n"; cout.flush(); long long x; cin >> x; dp[{c, d}] = x; return x; } void solver() { long long N = 29; long long a = 0, b = 0, greater = query(0, 0); for (int i = N; i >= 0; --i) { long long bit = (1LL << i); long long fQuery = query(a ^ bit, b), sQuery = query(a, b ^ bit); if (fQuery == sQuery) { if (greater == 1) { a |= bit; } else { b |= bit; } greater = fQuery; } else if (sQuery == 1) { a |= bit; b |= bit; } } cout << "! " << a << " " << b << "\n"; cout.flush(); return; } int main() { ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0); int t = 1; while (t--) { solver(); } return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 5205; int n; int sum[maxn][maxn]; char a; char cs[] = "0123456789ABCDEF"; map<char, int> cidic; void init() { for (int i = 0; i < 16; i++) { cidic[cs[i]] = i; } } void update(int i, int j) { sum[i][j] += (i > 0 ? sum[i - 1][j] : 0) + (j > 0 ? sum[i][j - 1] : 0) - (i > 0 && j > 0 ? sum[i - 1][j - 1] : 0); } bool check(int k) { for (int i = 0; i < n; i += k) { for (int j = 0; j < n; j += k) { int c_sum = sum[i + k - 1][j + k - 1] - (j > 0 ? sum[i + k - 1][j - 1] : 0) - (i > 0 ? sum[i - 1][j + k - 1] : 0) + (i > 0 && j > 0 ? sum[i - 1][j - 1] : 0); if (c_sum != 0 && c_sum != k * k) return false; } } return true; } int main() { ios_base::sync_with_stdio(false); cin.tie(0); cin >> n; init(); for (int i = 0; i < n; i++) { for (int j = 0; j < n / 4; j++) { cin >> a; int ms = cidic[a]; sum[i][j * 4] = (ms >> 3) & 1; update(i, j * 4); sum[i][j * 4 + 1] = (ms >> 2) & 1; update(i, j * 4 + 1); sum[i][j * 4 + 2] = (ms >> 1) & 1; update(i, j * 4 + 2); sum[i][j * 4 + 3] = ms & 1; update(i, j * 4 + 3); } } int k = 1; while (k != n && !check(n / k)) { k++; while (n % k != 0) { k++; } } cout << n / k << endl; return 0; }
#include <bits/stdc++.h> using namespace std; void DBG() { cerr << "]\n"; } template <typename T, typename... Args> void DBG(T first, Args... args) { cerr << first; if (sizeof...(args)) cerr << ", "; DBG(args...); } const long long N = 6000; vector<string> a(N, ""); bool can(long long k, long long n) { for (long long i = 0; i < n; i += k) { for (long long j = 0; j < n; j += k) { for (long long x = 0; x < k; x++) { for (long long y = 0; y < k; y++) { if (a[i + x][j + y] != a[i][j]) { return false; } } } } } return true; } void solve() { long long n; cin >> n; map<char, string> m; m['0'] = "0000"; m['1'] = "0001"; m['2'] = "0010"; m['3'] = "0011"; m['4'] = "0100"; m['5'] = "0101"; m['6'] = "0110"; m['7'] = "0111"; m['8'] = "1000"; m['9'] = "1001"; m['A'] = "1010"; m['B'] = "1011"; m['C'] = "1100"; m['D'] = "1101"; m['E'] = "1110"; m['F'] = "1111"; for (long long i = 0; i < n; i++) { string x; cin >> x; for (long long j = 0; j < n / 4; j++) { string val = m[x[j]]; for (char ch : val) a[i].push_back(ch); } } for (long long i = n; i >= 1; i--) { if (n % i == 0 && can(i, n)) { cout << i << "\n"; return; } } } int32_t main() { ios_base::sync_with_stdio(false); cin.tie(0); long long t = 1; for (long long tt = 1; tt <= t; tt++) { solve(); } }
#include <bits/stdc++.h> using namespace std; bool mat[5205][5205]; int prefR[5205][5205], prefC[5205][5205]; int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); long long int t = 1; while (t--) { int n, i, j, k; cin >> n; char ch; for (i = 1; i <= n; i++) { for (j = 1; j <= n; j += 4) { cin >> ch; long long int num = 0; if (isdigit(ch)) num = ch - '0'; else num = ch - 'A' + 10; k = j + 3; while (num > 0) { mat[i][k] = num % 2; k--; num /= 2; } } } for (i = 1; i <= n; i++) { for (j = 1; j <= n; j++) prefR[i][j] = prefR[i][j - 1] + mat[i][j]; } for (j = 1; j <= n; j++) { for (i = 1; i <= n; i++) prefC[i][j] = prefC[i - 1][j] + mat[i][j]; } for (i = n; i >= 2; i--) { long long int f = 1; if (n % i == 0) { for (k = 1; k <= n; k++) { for (j = 1; j <= n; j += i) { long long int val = prefC[j + i - 1][k] - prefC[j - 1][k]; if (val != i * mat[j][k]) { f = 0; break; } } if (!f) break; } if (!f) continue; for (k = 1; k <= n; k++) { for (j = 1; j <= n; j += i) { long long int val = prefR[k][j + i - 1] - prefR[k][j - 1]; if (val != i * mat[k][j]) { f = 0; break; } } if (!f) break; } if (f) { cout << i << "\n"; return 0; } } } cout << "1\n"; } return 0; }
#include <bits/stdc++.h> using namespace std; int cc[5205][5205]; int check(int n, int t) { int ok = 1; for (int i = t; i <= n; i += t) for (int j = t; j <= n; j += t) { int val = cc[i][j] - cc[i - t][j] - cc[i][j - t] + cc[i - t][j - t]; if (!(val == 0 || val == t * t)) { ok = 0; break; } } return ok; } int main() { int n; cin >> n; string s; for (int i = 0; i < n; ++i) { cin >> s; for (int j = 0; j < s.size(); ++j) { int d = (isalpha(s[j]) ? s[j] - 'A' + 10 : s[j] - '0'); for (int k = 3; k >= 0; --k) { cc[i + 1][(j * 4 + k) + 1] = (d & 1); d >>= 1; } } } for (int i = 0; i <= n; ++i) cc[0][i] = cc[i][0] = 0; for (int i = 1; i <= n; ++i) for (int j = 1; j <= n; ++j) cc[i][j] = cc[i - 1][j] + cc[i][j - 1] - cc[i - 1][j - 1] + cc[i][j]; vector<int> can; for (int i = 1; i <= n; ++i) if (n % i == 0) can.push_back(i); int res = 1; for (int i = can.size() - 1; i > 0; --i) { int ok = check(n, can[i]); if (ok) { res = can[i]; break; } } cout << res << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int a[5206][5206], sum[5206][5206], v[5000]; int n, sol, lg; int main() { cin >> n; for (int l = 1; l <= n; l++) { string s; cin >> s; for (int c = 1; c <= s.size(); c++) { char chr; int val; chr = s[c - 1]; if (chr >= '0' and chr <= '9') val = chr - '0'; else val = chr - 'A' + 10; for (int bit = 3; bit >= 0; bit--) a[l][4 * c - bit] = ((val & (1 << bit)) > 0); } } sol = n; for (int l = 1; l <= n; l++) for (int c = 1; c <= n; c++) { sum[l][c] = sum[l - 1][c] + sum[l][c - 1] - sum[l - 1][c - 1] + a[l][c]; } for (int i = n; i >= 1; i--) if (n % i == 0) { lg++; v[lg] = i; } for (int k = 1; k <= lg; k++) { int dim = v[k]; bool ok = true; for (int l = 0; l < n; l = l + dim) for (int c = 0; c < n; c = c + dim) { int sumtot = sum[l + dim][c + dim] - sum[l + dim][c] - sum[l][c + dim] + sum[l][c]; if (sumtot != 0 and sumtot != dim * dim) ok = false; } if (ok) { cout << dim; return 0; } } return 0; }
#include <bits/stdc++.h> using namespace std; bool isPrime(long long n) { if (n <= 1) return false; if (n <= 3) return true; if (n % 2 == 0 || n % 3 == 0) return false; for (long long i = 5; i * i <= n; i = i + 6) if (n % i == 0 || n % (i + 2) == 0) return false; return true; } vector<long long> primes; bool prime[10005]; void seive() { memset(prime, 1, sizeof(prime)); prime[0] = 0; prime[1] = 0; for (long long i = 2; i <= 10000; i++) { if (prime[i] == 1) { for (long long j = i * i; j <= 10000; j += i) prime[j] = 0; } } } long long power(long long a, long long b) { long long ans = 1; while (b > 0) { if (b % 2 == 1) ans = (ans % 1000000007 * a % 1000000007) % 1000000007; a = (a * a) % 1000000007; b = b / 2; } return ans; } template <typename T> std::string NumberToString(T Number) { std::ostringstream ss; ss << Number; return ss.str(); } string cal(char c) { if (c == '0') return "0000"; if (c == '1') return "0001"; if (c == '2') return "0010"; if (c == '3') return "0011"; if (c == '4') return "0100"; if (c == '5') return "0101"; if (c == '6') return "0110"; if (c == '7') return "0111"; if (c == '8') return "1000"; if (c == '9') return "1001"; if (c == 'A') return "1010"; if (c == 'B') return "1011"; if (c == 'C') return "1100"; if (c == 'D') return "1101"; if (c == 'E') return "1110"; if (c == 'F') return "1111"; } void solve() { int n; cin >> n; int i, j, a[n + 1][n + 1], b[n + 1][n + 1]; for (i = 0; i <= n; i++) for (j = 0; j <= n; j++) { a[i][j] = 0; b[i][j] = 0; } for (i = 1; i <= n; i++) { string s; cin >> s; int k = 1; for (j = 0; j < s.size(); j++) { string ss = cal(s[j]); int z = 0; for (int l = k; l < k + 4; l++) { int x = ss[z++] - '0'; if (x == 1) a[i][l] = true; else a[i][l] = false; b[i][l] = a[i][l]; } k += 4; } } vector<int> vec; for (i = n; i >= 1; i--) { if (n % i == 0) vec.push_back(i); } for (i = 1; i <= n; i++) { for (j = 1; j <= n; j++) a[i][j] += a[i][j - 1]; } for (j = 1; j <= n; j++) { for (i = 1; i <= n; i++) b[i][j] += b[i - 1][j]; } for (int p = 0; p < vec.size(); p++) { int x = vec[p]; int flag = 0; for (i = 1; i <= n; i++) { for (j = x; j <= n; j += x) { long long sum = a[i][j] - a[i][j - x]; if (sum == x || sum == 0) ; else { flag = 1; break; } } if (flag) break; } for (j = 1; j <= n; j++) { for (i = x; i <= n; i += x) { long long sum = b[i][j] - b[i - x][j]; if (sum == x || sum == 0) ; else { flag = 1; break; } } if (flag) break; } if (!flag) { cout << x; return; } } } int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); bool codechef = 0; long long t = 1; if (codechef) cin >> t; while (t--) { solve(); } return 0; }
#include <bits/stdc++.h> using namespace std; #pragma warning(disable : 4996) const int N = 5201; bool b[N][N]; char s[N]; int gcd(int a, int b) { return a ? gcd(b % a, a) : b; } int main() { int n; scanf("%d", &n); for (int i = 0; i < n; i++) { scanf(" %s", s); for (int j = 0; j < n / 4; j++) { int x = isdigit(s[j]) ? s[j] - '0' : s[j] - 'A' + 10; for (int k = 0; k < 4; k++) b[i][j * 4 + k] = (x >> (3 - k)) & 1; } } int g = 0; for (int i = 0; i < n; i++) { int k = -1; for (int j = 0; j < n; j++) { if (j == n - 1 || b[i][j] != b[i][j + 1]) { g = gcd(g, j - k); k = j; } } } for (int i = 0; i < n; i++) { int k = -1; for (int j = 0; j < n; j++) { if (j == n - 1 || b[j + 1][i] != b[j][i]) { g = gcd(g, j - k); k = j; } } } cout << g << "\n"; return 0; }
#include <bits/stdc++.h> using namespace std; const double PI = 3.14159265358979323846; const double eps = (1e-8); string g[5205]; int sum[5205][5205]; int getSum(int i1, int j1, int i2, int j2) { int ret = sum[i2][j2]; if (i1 - 1 >= 0) { ret -= sum[i1 - 1][j2]; } if (j1 - 1 >= 0) { ret -= sum[i2][j1 - 1]; } if (i1 - 1 >= 0 && j1 - 1 >= 0) ret += sum[i1 - 1][j1 - 1]; return ret; } int n; bool check(int x) { for (int j = 0; j < n; j += x) { for (int i = 0; i < n; i += x) { if (getSum(i, j, i + x - 1, j + x - 1) != x * x && getSum(i, j, i + x - 1, j + x - 1) != 0) return false; } } return true; } int main() { ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0); cin >> n; for (int i = 0; i < n; ++i) { for (int j = 0; j < n / 4; ++j) { char c; cin >> c; if (isalpha(c)) { c -= 'A' - 10; } else c -= '0'; string bin; while (c) { bin += c % 2 + '0'; c /= 2; } while ((int)(bin).size() < 4) bin += '0'; reverse(bin.begin(), bin.end()); g[i] += bin; } } for (int i = 0; i < n; ++i) { for (int j = 0; j < n; ++j) { sum[i][j] = g[i][j] - '0'; } partial_sum(sum[i], sum[i] + n, sum[i]); for (int j = 0; j < n; ++j) { if (i - 1 >= 0) { sum[i][j] += sum[i - 1][j]; } } } for (int i = n; i > 1; --i) { if (n % i == 0 && check(i)) { cout << i << '\n'; return 0; } } cout << 1 << '\n'; return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = (int)5202; const int mod = (int)1e9 + 7; int n, m, k, l, s, t, r, ans, T; bool a[maxn][maxn], now; int b[maxn][maxn]; vector<int> ppp; string p; inline int cal(int x) { if (x >= '0' && x <= '9') return x - '0'; else return x - 'A' + 10; } inline int query(int l1, int r1, int l2, int r2) { return b[l2][r2] - b[l2][r1 - 1] - b[l1 - 1][r2] + b[l1 - 1][r1 - 1]; } int ttt(int k) { for (int i = k; i <= n; i += k) for (int j = k; j <= n; j += k) { int nowi = i - k + 1; int nowj = j - k + 1; int tmp = query(nowi, nowj, i, j); if (tmp != 0 && tmp != k * k) return 0; } return 1; } int main() { ios::sync_with_stdio(false); cin >> n; for (int i = 1; i <= n; i++) { cin >> p; for (int j = 0; j < n / 4; j++) { int tmp = cal(p[j]); a[i][(j)*4 + 4] = tmp % 2; tmp /= 2; a[i][(j)*4 + 3] = tmp % 2; tmp /= 2; a[i][(j)*4 + 2] = tmp % 2; tmp /= 2; a[i][(j)*4 + 1] = tmp % 2; tmp /= 2; } } for (int i = 1; i <= n; i++) for (int j = 1; j <= n; j++) b[i][j] = b[i - 1][j] + b[i][j - 1] + a[i][j] - b[i - 1][j - 1]; for (int i = 1; i <= n; i++) { if (n % i == 0) { ppp.push_back(i); } } int L = 1, R = ppp.size(); for (int i = R - 1; i >= 0; i--) { if (ttt(ppp[i])) { ans = ppp[i]; break; } if ((double)clock() / (double)CLOCKS_PER_SEC >= 2.4) break; } cout << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; using ll = long long; using ull = unsigned long long; template <size_t l> using BS = bitset<l>; template <typename T> using D = deque<T>; template <typename T> using L = list<T>; template <typename T> using MS = multiset<T>; template <typename T, typename U> using P = pair<T, U>; template <typename T> using Q = queue<T>; template <typename T> using S = set<T>; template <typename T, typename U> using UM = unordered_map<T, U>; template <typename T> using UMS = unordered_multiset<T>; template <typename T> using US = unordered_set<T>; template <typename T> using V = vector<T>; template <typename T> ostream& operator<<(ostream& os, const D<T>& d) { os << "d["; for (auto it = d.begin(), next = d.begin(); d.end() != next; it = next) { os << *it; ++next; if (d.end() != next) { os << ", "; } } return os << "]"; } template <typename T> ostream& operator<<(ostream& os, const L<T>& l) { os << "l["; for (auto it = l.begin(), next = l.begin(); l.end() != next; it = next) { os << *it; ++next; if (l.end() != next) { os << ", "; } } return os << "]"; } template <typename T> ostream& operator<<(ostream& os, const MS<T>& ms) { os << "m{"; for (auto it = ms.begin(), next = ms.begin(); ms.end() != next; it = next) { os << *it; ++next; if (ms.end() != next) { os << ", "; } } return os << "}"; } template <typename T> ostream& operator<<(ostream& os, const S<T>& s) { os << "{"; for (auto it = s.begin(), next = s.begin(); s.end() != next; it = next) { os << *it; ++next; if (s.end() != next) { os << ", "; } } return os << "}"; } template <typename T, typename U> ostream& operator<<(ostream& os, const UM<T, U>& um) { os << "um{"; for (auto it = um.begin(), next = um.begin(); um.end() != next; it = next) { os << it->first << ": " << it->second; ++next; if (um.end() != next) { os << ", "; } } return os << "}"; } template <typename T> ostream& operator<<(ostream& os, const UMS<T>& ums) { os << "ums{"; for (auto it = ums.begin(), next = ums.begin(); ums.end() != next; it = next) { os << *it; ++next; if (ums.end() != next) { os << ", "; } } return os << "}"; } template <typename T> ostream& operator<<(ostream& os, const US<T>& us) { os << "us{"; for (auto it = us.begin(), next = us.begin(); us.end() != next; it = next) { os << *it; ++next; if (us.end() != next) { os << ", "; } } return os << "}"; } template <typename T> ostream& operator<<(ostream& os, const V<T>& v) { os << "["; for (auto it = v.begin(), next = v.begin(); v.end() != next; it = next) { os << *it; ++next; if (v.end() != next) { os << ", "; } } return os << "]"; } template <typename T> const T& abs(const T& x) { if (x >= 0) { return x; } return -x; } template <typename T> V<T>& uniq(V<T>& v) { const auto newend_it = unique(v.begin(), v.end()); v.resize(newend_it - v.begin()); return v; } template <typename T> struct E { T u, v; }; template <typename T> ostream& operator<<(ostream& os, const E<T>& e) { return os << "(" << e.u << ", " << e.v << ")"; } template <typename T> bool operator<(const E<T>& l, const E<T>& r) { return l.u < r.u || (l.u == r.u && l.v < r.v); } template <typename T> constexpr T cshift(const T t, size_t left_shift_bits = 1) { constexpr size_t T_bits = sizeof(T) * 8; left_shift_bits %= T_bits; left_shift_bits += T_bits; left_shift_bits %= T_bits; const size_t right_shift_bits = T_bits - left_shift_bits; return (t << left_shift_bits) ^ (t >> right_shift_bits); } template <typename T> size_t numdigits(T x, size_t base = 10) { size_t ret = 0; while (x > 0) { x /= base; ++ret; } return ret; } UM<char, string> LOOKUP = { {'0', "0000"}, {'1', "0001"}, {'2', "0010"}, {'3', "0011"}, {'4', "0100"}, {'5', "0101"}, {'6', "0110"}, {'7', "0111"}, {'8', "1000"}, {'9', "1001"}, {'A', "1010"}, {'B', "1011"}, {'C', "1100"}, {'D', "1101"}, {'E', "1110"}, {'F', "1111"}, }; size_t n; V<string> A; V<BS<5200>> X, Y; V<int> divs; int main() { cin >> n; A = V<string>(n); for (int i = 0; i < int(n); i++) { string tmp; cin >> tmp; for (const char& ch : tmp) { A[i] += LOOKUP[ch]; } } for (int i = 1; i <= n; ++i) { if (n % i == 0) { divs.push_back(i); } } X = V<BS<5200>>(n); for (int i = 0; i < int(n); i++) { X[i] = BS<5200>(A[i]); } Y = V<BS<5200>>(n); for (int i = 0; i < int(n); i++) { for (int j = 0; j < int(n); j++) { Y[i][j] = X[j][i]; } } for (auto it = divs.rbegin(); divs.rend() != it; ++it) { const int d = *it; if (d == 1) { cout << d << endl; return 0; } BS<5200> mask = 0b1, tmpbs; tmpbs = mask; int tmpd = d; do { mask = tmpbs; tmpbs = mask | (mask << tmpd); tmpd *= 2; } while (mask != tmpbs); mask.flip(); for (int i = 0; i < int(n); i++) { if (!(((((X[i] & (mask >> 1)) << 1) | ((X[i] & mask) >> 1)) == X[i]) && ((((Y[i] & (mask >> 1)) << 1) | ((Y[i] & mask) >> 1)) == Y[i]))) { goto breakcontinue; } } cout << d << endl; return 0; breakcontinue:; } return 0; }
#include <bits/stdc++.h> using namespace std; int raod[5201][5201]; int n, in1, in2, first; string second; bool check(int x) { for (int i = 1; i <= n / x; i++) { for (int j = 1; j <= n / x; j++) { in1 = i * x; in2 = j * x; first = raod[in1][in2] - raod[in1 - x][in2] - raod[in1][in2 - x] + raod[in1 - x][in2 - x]; if (first != 0 && first != x * x) return false; } } return true; } int main() { ios::sync_with_stdio(false); cin >> n; for (int i = 1; i <= n; i++) { cin >> second; for (int j = 0; j < second.size(); j++) { int x; if (second[j] >= '0' && second[j] <= '9') x = second[j] - '0'; else x = (second[j] - 'A') + 10; string p = ""; while (x) { if (x & 1) p += '1'; else p += '0'; x /= 2; } while ((int)p.size() != 4) p += '0'; reverse(p.begin(), p.end()); for (int l = 0; l < 4; l++) raod[i][j * 4 + l + 1] = raod[i - 1][j * 4 + l + 1] + raod[i][j * 4 + l] - raod[i - 1][j * 4 + l] + (p[l] == '1'); } } for (int i = n; i >= 1; i--) { if (n % i != 0) continue; if (check(i)) { cout << i << '\n'; return 0; } } return 0; }
#include <bits/stdc++.h> #pragma comment(linker, "/STACK:33554432") using namespace std; long long MOD = 1e9 + 7; int n, k; int A[5202][5202]; int pref[5202][5202]; bool check(int i, int j, int val) { return A[i][j] * val * val == pref[i + val][j + val] + pref[i][j] - pref[i][j + val] - pref[i + val][j]; } bool poss(int val) { for (int i = 0; i < n; i += val) { for (int j = 0; j < n; j += val) { if (!check(i, j, val)) return false; } } return true; } int main() { ios_base::sync_with_stdio(false); scanf("%d\n", &n); for (int i = 0; i < n; i++) { char curr; for (int j = 0; j < n / 4; j++) { scanf("%c", &curr); int el = curr > '9' ? curr - 'A' + 10 : curr - '0'; for (int k = 0; k < 4; k++) { A[i][j * 4 + k] = el >= (1 << (3 - k)) ? 1 : 0; el -= el >= 1 << (3 - k) ? 1 << (3 - k) : 0; } } scanf("%c", &curr); } for (int i = 1; i <= n; i++) { for (int j = 1; j <= n; j++) pref[i][j] = pref[i - 1][j] + pref[i][j - 1] - pref[i - 1][j - 1] + A[i - 1][j - 1]; } int answer = 1; for (int i = 1; i <= n; i++) { if (n % i == 0 && poss(i)) answer = i; } printf("%d", answer); return 0; }
#include <bits/stdc++.h> using namespace std; long long int n; void change(char ch, vector<int> &c); void change(char ch, vector<int> &c) { long long int num; if ((int)(ch) >= 65) { num = (int)(ch)-55; } else { num = (int)(ch)-48; } long long int p = 3; while (num > 0) { long long int d = num % 2; num = num / 2; c[p--] = d; } for (int i = p; i >= 0; i--) { c[i] = 0; } } void convert(string s, vector<int> &d) { long long int p = 0; for (int i = 0; i < s.length(); i++) { vector<int> c(4, 0); change(s[i], c); long long int p1 = 0; for (int j = p; j < p + 4; j++) { d[j] = c[p1++]; } p = p + 4; } } int main() { ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0); ; cin >> n; int a[n + 1][n + 1]; for (int i = 0; i < n; i++) { vector<int> d(n, 0); string s; cin >> s; convert(s, d); for (int j = 0; j < n; j++) { a[i][j] = d[j]; } } vector<vector<int> > rect(n + 1, vector<int>(n + 1, 0)); for (int i = 0; i < n; i++) { for (int j = 0; j < n; j++) { long long int s = 0; if (i >= 0 && j - 1 >= 0) { s += rect[i][j - 1]; } if (i - 1 >= 0 && j >= 0) { s += rect[i - 1][j]; } if (i - 1 >= 0 && j - 1 >= 0) { s -= rect[i - 1][j - 1]; } s += a[i][j]; rect[i][j] = s; } } vector<int> factor; for (int i = 1; i <= n; i++) { if (n % i == 0) { factor.push_back(i); } } sort(factor.begin(), factor.end()); long long int ans = 1; long long int size = factor.size(); for (int k = size - 1; k >= 0; k--) { long long int x = factor[k]; long long int flag = 0; for (int i = 0; i < n; i += x) { for (int j = 0; j < n; j += x) { long long int s = 0; if (i + x - 1 < n && j + x - 1 < n) { s += rect[i + x - 1][j + x - 1]; } if (i - 1 >= 0 && j - 1 >= 0) { s += rect[i - 1][j - 1]; } if (i - 1 >= 0 && j + x - 1 < n) { s -= rect[i - 1][j + x - 1]; } if (i + x - 1 < n && j - 1 >= 0) { s -= rect[i + x - 1][j - 1]; } if (a[i][j] == 0) { if (s != 0) { flag = -1; break; } } else { if (s != x * x) { flag = -1; break; } } } if (flag == -1) { break; } } if (flag == 0) { ans = x; break; } } cout << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int LIM = 1e5 + 5, MOD = 1e9 + 7; const int N_MAX = 5205; int N; bitset<N_MAX> matrix[N_MAX]; int rect[N_MAX][N_MAX]; int get_rect(int r1, int r2, int c1, int c2) { return rect[r2][c2] - rect[r2][c1] - rect[r1][c2] + rect[r1][c1]; } int hexconvert(char hex) { return isdigit(hex) ? hex - '0' : hex - 'A' + 10; } int main() { cin >> N; char str[N_MAX]; for (int i = 0; i < N; i++) { cin >> str; reverse(str, str + N / 4); for (int j = 0; j < N; j++) matrix[i][j] = (hexconvert(str[j / 4]) >> j % 4) & 1; } for (int i = 0; i < N; i++) for (int j = 0; j < N; j++) rect[i + 1][j + 1] = rect[i + 1][j] + rect[i][j + 1] - rect[i][j] + matrix[i][j]; for (int x = N; x > 0; x--) if (N % x == 0) { bool good = true; for (int i = 0; i < N && good; i += x) for (int j = 0; j < N && good; j += x) { int sum = get_rect(i, i + x, j, j + x); if (sum != x * x && sum != 0) good = false; } if (good) { cout << x << '\n'; return 0; } } }
#include <bits/stdc++.h> using namespace std; int n, mat[5300][5300], d[5300][5300]; int main() { ios::sync_with_stdio(false); cin.tie(0); cout.tie(0); ; memset(d, 0, sizeof(d)); cin >> n; for (int i = 0; i < n; i++) { for (int j = 0; j < n / 4; j++) { char c; cin >> c; int x = c - '0'; if (c >= 'A') x = c - 'A' + 10; for (int p = j * 4 + 3; p >= j * 4; p--) { mat[i][p] = 0; if (x % 2) mat[i][p] = 1; x /= 2; } } } for (int i = 0; i < n; i++) { for (int j = 0; j < n; j++) { d[i + 1][j + 1] = d[i][j + 1] + d[i + 1][j] - d[i][j] + mat[i][j]; } } int x = n; for (; x > 1; x--) { if (n % x != 0) continue; bool t = false; for (int i = 1; i <= n; i += x) { for (int j = 1; j <= n; j += x) { int sum = d[i + x - 1][j + x - 1] + d[i - 1][j - 1] - d[i + x - 1][j - 1] - d[i - 1][j + x - 1]; if (sum != x * x and sum != 0) { t = true; break; } } if (t) break; } if (!t) return cout << x, 0; } cout << 1; return 0; }
#include <bits/stdc++.h> using namespace std; const long long mod = 1000000007; const long long inf = 1e14; long long gcd(long long a, long long b) { return (b == 0 ? a : gcd(b, a % b)); } int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); long long n, ans = 0; cin >> n; long long bi[n][n]; memset(bi, 0, sizeof(bi)); string s; for (long long i = 0; i < n; i++) { cin >> s; for (long long j = 0; j < n / 4; j++) { if (s[j] > '9') { if (s[j] == 'A') { bi[i][j * 4] = 1; bi[i][j * 4 + 1] = 0; bi[i][j * 4 + 2] = 1; bi[i][j * 4 + 3] = 0; } else if (s[j] == 'B') { bi[i][j * 4] = 1; bi[i][j * 4 + 1] = 0; bi[i][j * 4 + 2] = 1; bi[i][j * 4 + 3] = 1; } else if (s[j] == 'C') { bi[i][j * 4] = 1; bi[i][j * 4 + 1] = 1; bi[i][j * 4 + 2] = 0; bi[i][j * 4 + 3] = 0; } else if (s[j] == 'D') { bi[i][j * 4] = 1; bi[i][j * 4 + 1] = 1; bi[i][j * 4 + 2] = 0; bi[i][j * 4 + 3] = 1; } else if (s[j] == 'E') { bi[i][j * 4] = 1; bi[i][j * 4 + 1] = 1; bi[i][j * 4 + 2] = 1; bi[i][j * 4 + 3] = 0; } else if (s[j] == 'F') { bi[i][j * 4] = 1; bi[i][j * 4 + 1] = 1; bi[i][j * 4 + 2] = 1; bi[i][j * 4 + 3] = 1; } } else { long long tmp = s[j] - '0'; bitset<4> bs(tmp); bi[i][j * 4] = bs[3]; bi[i][j * 4 + 1] = bs[2]; bi[i][j * 4 + 2] = bs[1]; bi[i][j * 4 + 3] = bs[0]; } } } long long an = 0; for (long long i = 0; i < n; i++) { long long cnt0 = 0, cnt1 = 0, tmp = 0; for (long long j = 0; j < n; j++) { if (bi[i][j] == 1) cnt1++; if (bi[i][j] == 0 || j == n - 1) { an = gcd(an, cnt1); cnt1 = 0; } } tmp = 0; for (long long j = 0; j < n; j++) { if (bi[i][j] == 0) cnt0++; if (bi[i][j] == 1 || j == n - 1) { an = gcd(an, cnt0); cnt0 = 0; } } } for (long long i = 0; i < n; i++) { long long cnt0 = 0, cnt1 = 0, tmp = 0; for (long long j = 0; j < n; j++) { if (bi[j][i] == 1) cnt1++; if (bi[j][i] == 0 || j == n - 1) { an = gcd(an, cnt1); cnt1 = 0; } } for (long long j = 0; j < n; j++) { if (bi[j][i] == 0) cnt0++; if (bi[j][i] == 1 || j == n - 1) { an = gcd(an, cnt0); cnt0 = 0; } } } cout << an; return 0; }
#include <bits/stdc++.h> using namespace std; using pii = pair<int, int>; using vi = vector<int>; template <class T> istream &operator>>(istream &, vector<T> &); template <class T> ostream &operator<<(ostream &, const vector<T> &); using ll = long long; using vll = vector<long long>; constexpr int INF = 0x3f3f3f3f; constexpr ll BINF = 0x3f3f3f3f3f3f3f3fLL; const int N = 5200; int gcd(int x, int y) { return y ? gcd(y, x % y) : x; } int getPeriod(const vector<int> &s) { int sz = 0, now = -1; for (int i = 0; i < s.size(); i++) { if (i > 0 && s[i] != s[i - 1]) { if (now == -1) now = sz; else now = gcd(now, sz); sz = 1; } else { sz++; } } if (now == -1) now = sz; else now = gcd(now, sz); return now; } int solve() { int n; cin >> n; vector<string> v(n); cin >> v; vector<vi> a(n, vi(n)), b(n, vi(n)); for (int i = 0; i < n; i++) for (int j = 0; j < n; j++) { if (isdigit(v[i][j / 4])) { a[i][j] = ((v[i][j / 4] - '0') >> (3 - j % 4)) & 1; b[j][i] = ((v[i][j / 4] - '0') >> (3 - j % 4)) & 1; } else { a[i][j] = ((v[i][j / 4] - 'A' + 10) >> (3 - j % 4)) & 1; b[j][i] = ((v[i][j / 4] - 'A' + 10) >> (3 - j % 4)) & 1; } } vector<int> periods; for (int i = 0; i < n; i++) { periods.push_back(getPeriod(a[i])); periods.push_back(getPeriod(b[i])); } for (int i = 1; i < periods.size(); i++) periods[0] = gcd(periods[0], periods[i]); cout << periods[0] << endl; return 0; } int main() { ios::sync_with_stdio(0); solve(); return 0; } template <class T> istream &operator>>(istream &is, vector<T> &v) { for (auto it = v.begin(); it != v.end(); ++it) is >> *it; return is; } template <class T> ostream &operator<<(ostream &os, const vector<T> &v) { for (auto it = v.begin(); it != v.end();) os << *it << " \n"[++it == v.end()]; return os; }
#include <bits/stdc++.h> using namespace std; int n; char input[5205], B[5205][5205]; string board[5205]; void fill(int r, char original) { if (original == '0') board[r] += "0000"; if (original == '1') board[r] += "0001"; if (original == '2') board[r] += "0010"; if (original == '3') board[r] += "0011"; if (original == '4') board[r] += "0100"; if (original == '5') board[r] += "0101"; if (original == '6') board[r] += "0110"; if (original == '7') board[r] += "0111"; if (original == '8') board[r] += "1000"; if (original == '9') board[r] += "1001"; if (original == 'A') board[r] += "1010"; if (original == 'B') board[r] += "1011"; if (original == 'C') board[r] += "1100"; if (original == 'D') board[r] += "1101"; if (original == 'E') board[r] += "1110"; if (original == 'F') board[r] += "1111"; } int solve(int x) { for (int i = 1; i <= n; i += x) { for (int j = 1; j <= n; j += x) { char now = board[i][j]; for (int k = i; k < i + x; k++) { for (int q = j; q < j + x; q++) { if (board[k][q] == now) continue; else return 0; } } } } return 1; } int main() { scanf("%d", &n); for (int i = 1; i <= n; i++) { scanf("%s", &input); board[i] += ' '; for (int j = 0; j < n / 4; j++) { fill(i, input[j]); } } for (int i = n; i >= 1; i--) { if (!(n % i)) { if (solve(i)) { printf("%d\n", i); return 0; } } } return 0; }
#include <bits/stdc++.h> using namespace std; bool ok[5206], book[5206]; int P[5206][5206], n; int qwq(char x) { if (x >= 'A') return 10 + x - 'A'; else return x - '0'; } int p[5206], num; void Analyze(int x) { num = 0; for (int i = 2; i * i <= x; ++i) while (x % i == 0) x /= i, p[num++] = i; if (x > 1) p[num++] = x; } bool work(int x) { if (book[x]) return ok[x]; book[x] = true; for (int i = 0; i < n; ++i) for (int j = 0; j < n / x; ++j) for (int k = 1; k < x; ++k) if (P[i][j * x + k] != P[i][j * x + k - 1]) return ok[x] = false; for (int i = 0; i < n; ++i) for (int j = 0; j < n / x; ++j) for (int k = 1; k < x; ++k) if (P[j * x + k][i] != P[j * x + k - 1][i]) return ok[x] = false; return ok[x] = true; } int main() { cin >> n; getchar(); char ch; for (int i = 0, q; i < n; ++i) { for (int j = 0; j < n / 4; ++j) { ch = getchar(); q = qwq(ch); for (int k = 1; k <= 4; ++k) P[i][(j + 1) * 4 - k] = (q & 1), q >>= 1; } getchar(); } Analyze(n); int ans = 1; for (int i = 0; i < num; ++i) { if (work(p[i] * ans)) ans *= p[i]; } cout << ans; }
#include <bits/stdc++.h> using namespace std; void tobin(char hex, int bin[]) { int x; if (hex >= 48 && hex <= 57) x = hex - '0'; else x = hex - 'A' + 10; int k = 4; while (k >= 1) { bin[k] = x % 2; x = x / 2; k--; } } int sum(int *dp[5201], bool *a[5201], int n) { for (int i = 0; i <= n; i++) dp[i][0] = dp[0][i] = 0; for (int i = 1; i <= n; i++) { dp[i][1] = dp[i - 1][1] + a[i][1]; dp[1][i] = dp[1][i - 1] + a[1][i]; } for (int i = 2; i <= n; i++) { for (int j = 2; j <= n; j++) { dp[i][j] = dp[i - 1][j] + dp[i][j - 1] + a[i][j] - dp[i - 1][j - 1]; } } for (int x = n; x >= 1; x--) { if (n % x != 0) continue; int flag = 1; for (int i = 1; i <= n / x; i++) { for (int j = 1; j <= n / x; j++) { int y = dp[i * x][j * x] - dp[(i - 1) * x][j * x] - dp[i * x][(j - 1) * x] + dp[(i - 1) * x][(j - 1) * x]; if (y != 0 && y != x * x) { flag = 0; break; } } if (flag == 0) break; } if (flag == 1) return x; } } int main() { int n; cin >> n; int bin[5]; bool *a[5201]; int *dp[5201]; for (int i = 0; i <= 5200; i++) { a[i] = new bool[5201]; dp[i] = new int[5201]; } char ch[1301]; for (int i = 1; i <= n; i++) { cin >> ch; int j = 1; for (int k = 0; ch[k] != '\0'; k++) { tobin(ch[k], bin); for (int t = 1; t <= 4; t++) a[i][j++] = bin[t]; } } int ans = sum(dp, a, n); cout << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int mod = 1e9 + 7; long double eps = 1e-12; int dx[] = {0, 0, 1, -1, 1, 1, -1, -1}; int dy[] = {1, -1, 0, 0, 1, -1, 1, -1}; int n, res = 0, k = 0, h, ans = 0, m; int gcd(int a, int b) { if (b == 0) return a; return gcd(b, a % b); } int lcm(int x, int y) { return (x * y) / gcd(x, y); } int pot(int a, int b) { if (b < 0) return 0; int r = 1; while (b) { if (b % 2) r = (r * a) % mod; a = (a * a) % mod; b /= 2; } return r % mod; } void pr(int a[], int n) { for (int i = 1; i <= n; i++) cout << a[i] << " "; cout << '\n'; } void read(int a[], int n) { for (int i = 1; i <= n; i++) cin >> a[i]; } void yes() { cout << "YES\n"; } void no() { cout << "NO\n"; } vector<int> v[300015]; void add_edge(int x, int y) { v[x].push_back(y); v[y].push_back(x); } string s2, ch = "", s[5205], s1 = "", t; vector<pair<string, int> > vs; vector<pair<pair<int, int>, int> > vvv, vvv2; vector<pair<int, int> > vv[300015], vv2; int dp[5205][5205]; string HexToBin(char c) { switch (toupper(c)) { case '0': return "0000"; case '1': return "0001"; case '2': return "0010"; case '3': return "0011"; case '4': return "0100"; case '5': return "0101"; case '6': return "0110"; case '7': return "0111"; case '8': return "1000"; case '9': return "1001"; case 'A': return "1010"; case 'B': return "1011"; case 'C': return "1100"; case 'D': return "1101"; case 'E': return "1110"; case 'F': return "1111"; } } int main() { ios_base::sync_with_stdio(0), cin.tie(0), cout.tie(0); int i = 0, x = 0, z = 0, y = 0, j = 0, q, mx = 0, mm, idx = 0, ok = 0, l = 0, r, negatif = 0, positif = 0; set<int>::iterator itw, ith; set<int>::iterator it; multiset<int> mst, mst2; cin >> n; for (i = 0; i <= (int)(n - 1); i++) { s[i] = ""; for (j = 0; j < (n / 4); j++) { char c; cin >> c; s[i] += HexToBin(c); } } for (i = 1; i <= (int)(n); i++) { for (j = 1; j <= (int)(n); j++) { dp[i][j] = dp[i][j - 1] + dp[i - 1][j] - dp[i - 1][j - 1]; if (s[i - 1][j - 1] == '1') { dp[i][j]++; } } } vector<int> v; for (i = 1; i <= n; i++) { if (n % i == 0) v.push_back(i); } for (l = ((int)((v).size())) - 1; l >= 0; l--) { x = v[l]; int flag = 1; for (i = x; i <= n; i += x) { for (j = x; j <= n; j += x) { int nb1 = dp[i][j] - dp[i - x][j] - dp[i][j - x] + dp[i - x][j - x]; int nb0 = x * x - nb1; if (nb1 != (x * x) && nb0 != (x * x)) { flag = 0; break; } } if (!flag) break; } if (flag) return cout << x, 0; } return 0; }
#include <bits/stdc++.h> using namespace std; char s[1309]; bool a[5201][5201]; int n, i, j, k, f, dp[2][5201][5201]; int main() { for (scanf("%d", &n), i = 1; i <= n; ++i) for (scanf("%s", s), j = 0; s[j]; k = s[j] - ('9' < s[j] ? 'A' - 10 : '0'), a[i][(j << 2) + 1] = 8 & k, a[i][(j << 2) + 2] = 4 & k, a[i][(j << 2) + 3] = 2 & k, a[i][(j << 2) + 4] = 1 & k, ++j) ; for (i = 1; i <= n; ++i) for (j = 1; j <= n; k = (bool)a[i][j], dp[k][i][j] = 1 + min(dp[k][i - 1][j - 1], min(dp[k][i][j - 1], dp[k][i - 1][j])), ++j) ; for (k = n + 1; --k; f ? (exit(printf("%d\n", k) & 0)) : (void)0) for (f = !(n % (i = k)); f && i <= n; i += k) for (j = k; f && j <= n; f &= (dp[(bool)a[i][j]][i][j] >= k), j += k) ; }
#include <bits/stdc++.h> using namespace std; int n; bool a[5500][5500]; bool f[5500]; int checked[5500]; int spf[5500]; const int N = 5500; int prime[N]; bool check2(int jj, int pf) { vector<vector<bool> > vv; for (int i = 0; i < n * pf / jj; ++i) { vector<bool> kg; for (int j = 0; j < n * pf / jj; ++j) { kg.push_back(a[i * jj / pf][j * jj / pf]); } vv.push_back(kg); } for (int i = 0; i < (int)vv.size(); ++i) for (int j = 0; j < (int)vv.size(); ++j) { int i2 = i - i % pf; int j2 = j - j % pf; if (vv[i][j] != vv[i2][j2]) return 0; } return 1; } bool check(int kk) { vector<int> pff; bool ok = true; int num = kk; while (num != 1) { int cnt = 1; int j = spf[num]; while (num % j == 0) { num /= j; cnt *= j; } ok &= f[cnt]; } return ok; } void solve() { int ndash = N - 1; for (int i = 2; i <= ndash; ++i) { if (!spf[i]) { for (int j = i; j <= ndash; j += i) if (!spf[j]) spf[j] = i; } } f[1] = 1; cin >> n; char s; for (int i = 0; i < n; ++i) { for (int j = 0; j < n / 4; ++j) { int num = 0; cin >> s; if (s >= '0' and s <= '9') num = s - '0'; else num = 10 + s - 'A'; for (int k = 0; k < 4; ++k) a[i][j * 4 + k] = (num & (1 << (3 - k))); } } vector<int> facts; vector<int> pfs; int nn = n; for (int i = 2; i < n + 1; ++i) { if (nn % i == 0) pfs.push_back(i); while (nn % i == 0) nn /= i; } for (int i = 0; i < (int)pfs.size(); ++i) { bool ok = true; int jj = pfs[i]; while (jj <= n) { ok &= f[jj / pfs[i]]; if (ok) ok &= check2(jj, pfs[i]); f[jj] = ok; jj *= pfs[i]; } } int ans = 1; for (int i = 1; i < n + 1; ++i) if (n % i == 0 and check(i)) ans = i; cout << ans << '\n'; } signed main() { ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0); int t = 1; while (t--) { solve(); } return 0; }
#include <bits/stdc++.h> using namespace std; string a[5205]; string x[505]; int main() { x['0'] = "0000"; x['1'] = "0001"; x['2'] = "0010"; x['3'] = "0011"; x['4'] = "0100"; x['5'] = "0101"; x['6'] = "0110"; x['7'] = "0111"; x['8'] = "1000"; x['9'] = "1001"; x['A'] = "1010"; x['B'] = "1011"; x['C'] = "1100"; x['D'] = "1101"; x['E'] = "1110"; x['F'] = "1111"; int n; scanf("%d", &n); for (int i = 1; i <= n; i++) { string xx; cin >> xx; a[i] += "0"; for (int j = 0; j < xx.size(); j++) a[i] += x[xx[j]]; } for (int i = 1; i <= n; i++) { if (n % i != 0) continue; int f = 0; for (int j = 1; j <= n; j += n / i) { for (int k = 1; k <= n; k += n / i) { for (int jj = j; jj < j + n / i; jj++) { for (int kk = k; kk < k + n / i; kk++) { if (a[jj][kk] != a[j][k]) { f = 1; break; } } if (f) break; } if (f) break; } if (f) break; } if (!f) { printf("%d", n / i); return 0; } } return 0; }
#include <bits/stdc++.h> using namespace std; map<char, string> m; vector<string> matrix; int gcd(int a, int b); void solve() { m['0'] = "0000"; m['1'] = "0001"; m['2'] = "0010"; m['3'] = "0011"; m['4'] = "0100"; m['5'] = "0101"; m['6'] = "0110"; m['7'] = "0111"; m['8'] = "1000"; m['9'] = "1001"; m['A'] = "1010"; m['B'] = "1011"; m['C'] = "1100"; m['D'] = "1101"; m['E'] = "1110"; m['F'] = "1111"; int n; cin >> n; for (int i = 0; i < n; ++i) { string s = ""; for (int j = 0; j < n / 4; ++j) { char c; cin >> c; s += m[c]; } matrix.push_back(s); } int x = n; for (int i = 0; i < n; ++i) { int k = 1, len = 1; while (k < n) { len = 1; while (k < n && matrix[i][k] == matrix[i][k - 1]) ++k, ++len; x = gcd(x, len); k = k + 1; } } for (int i = 0; i < n; ++i) { int k = 1, len = 1; while (k < n) { len = 1; while (k < n && matrix[k][i] == matrix[k - 1][i]) ++k, ++len; x = gcd(x, len); k = k + 1; } } cout << x << '\n'; } int gcd(int a, int b) { while (b != 0) { a = a % b; swap(a, b); } return a; } int main() { ios::sync_with_stdio(false); cin.tie(NULL); solve(); return 0; }
#include <bits/stdc++.h> using namespace std; map<int, int> factors; void primef(int n) { int cnt = 0; if (n % 2 == 0) { while (n % 2 == 0) cnt++, n /= 2; factors[2] = cnt; } for (int i = 3; i <= sqrt(n); i += 2) { cnt = 0; if (n % i == 0) { while (n % i == 0) n /= i, cnt++; factors[i] = cnt; } } if (n > 2) factors[n] = 1; } void inp(int n, int arr[]) { for (int i = 0; i < n; i++) cin >> arr[i]; } vector<vector<int> > v(20); void binary(int a) { int k = a; vector<int> vv; for (int i = 0; i < 4; i++) { vv.push_back(a % 2); a /= 2; } reverse((vv).begin(), (vv).end()); v[k] = vv; } void solve() { int n; cin >> n; for (int i = 0; i < 16; i++) binary(i); int a[n][n]; for (int i = 0; i < n; i++) { for (int j = 0; j < n / 4; j++) { char c; cin >> c; int p; if (c >= 'A' && c <= 'F') { p = c - 'A' + 10; } else p = c - '0'; for (int k = 0; k < 4; k++) { a[i][j * 4 + k] = v[p][k]; } } } primef(n); int ans = 1; for (auto elem : factors) { int temp = 1; int el = 1; int tot = elem.second; while (tot--) { el *= elem.first; int check = 1; for (int i = 0; i < n; i++) { for (int j = 0; j < n; j++) { i++; j++; int ii = i / el + (i % el != 0); int jj = j / el + (j % el != 0); ii *= el; jj *= el; i--; j--; ii--; jj--; if (a[i][j] != a[ii][jj]) { check = 0; break; } } if (check == 0) break; } if (check) { temp = el; } else break; } ans *= temp; } cout << ans << '\n'; } int main() { ios::sync_with_stdio(0); cin.tie(0); cout.tie(0); solve(); }
#include <bits/stdc++.h> using namespace std; int arr[5300][5300], n; bool valid(int x) { int i, j, t, k, p; for (i = 0; i < n / x; i++) { for (j = 0; j < n / x; j++) { t = arr[i * x][j * x]; for (k = 0; k < x; k++) { for (p = 0; p < x; p++) if (arr[i * x + k][j * x + p] != t) return false; } } } return true; } int main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); ; int i, l, t, j; string s; vector<int> v; cin >> n; for (i = 0; i < n; i++) { cin >> s; l = s.size(); for (j = 0; j < l; j++) { if (s[j] >= '0' && s[j] <= '9') t = s[j] - '0'; else t = s[j] - 'A' + 10; arr[i][j * 4 + 3] = (t & 1) ? 1 : 0; arr[i][j * 4 + 2] = (t & 2) ? 1 : 0; arr[i][j * 4 + 1] = (t & 4) ? 1 : 0; arr[i][j * 4] = (t & 8) ? 1 : 0; } } for (i = 2; i <= n; i++) { if (n % i == 0) { v.push_back(i); } } reverse(v.begin(), v.end()); l = v.size(); for (i = 0; i < l; i++) { if (valid(v[i])) { cout << v[i] << endl; return 0; } } cout << 1 << endl; return 0; }
#include <bits/stdc++.h> using namespace std; string hex_char(char c) { switch (toupper(c)) { case '0': return "0000"; case '1': return "0001"; case '2': return "0010"; case '3': return "0011"; case '4': return "0100"; case '5': return "0101"; case '6': return "0110"; case '7': return "0111"; case '8': return "1000"; case '9': return "1001"; case 'A': return "1010"; case 'B': return "1011"; case 'C': return "1100"; case 'D': return "1101"; case 'E': return "1110"; case 'F': return "1111"; } return ""; } int check(int x, int n, vector<string> &s) { for (int i = 0; i < n / x; ++i) { for (int j = 0; j < n / x; ++j) { char c = s[i * x][j * x]; for (int k = 0; k < x; ++k) { for (int l = 0; l < x; ++l) { int a = i * x + k; int b = j * x + l; if (c != s[a][b]) return 0; } } } } return 1; } int main() { long long unsigned n; cin >> n; vector<string> input; for (int i = 0; i < n; ++i) { string s; cin >> s; string t; for (int i = 0; i < s.size(); ++i) { t += hex_char(s[i]); } input.push_back(t); } for (int i = n; i > 1; --i) { if (n % i == 0) { int f = check(i, n, input); if (f == 1) { cout << i << endl; return 0; } } } cout << 1 << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 6e3; int n; int A[MAXN][MAXN]; int main() { ios::sync_with_stdio(false), cin.tie(0), cout.tie(0); cin >> n; for (int ii = 1; ii <= n; ii++) { string row; cin >> row; for (int jj = 0; jj < row.size(); jj++) { int v = row[jj] >= '0' && row[jj] <= '9' ? row[jj] - '0' : row[jj] - 'A' + 10; for (int kk = jj * 4 + 4; kk >= jj * 4 + 1; kk--) { if (v & 1) A[ii][kk] = 1; v >>= 1; } } } for (int ii = 1; ii <= n; ii++) { for (int jj = 1; jj <= n; jj++) { if (ii == 1) A[ii][jj] += A[ii][jj - 1]; else if (jj == 1) A[ii][jj] += A[ii - 1][jj]; else A[ii][jj] += A[ii - 1][jj] + A[ii][jj - 1] - A[ii - 1][jj - 1]; } } int ans = 1; for (int x = 1; x <= n; x++) { if (n % x) continue; bool flag = true; for (int ii = 1; ii <= n / x; ii++) { for (int jj = 1; jj <= n / x; jj++) { int x1 = (ii - 1) * x + 1, y1 = (jj - 1) * x + 1, x2 = ii * x, y2 = jj * x; int area = A[x2][y2] - A[x2][y1 - 1] - A[x1 - 1][y2] + A[x1 - 1][y1 - 1]; if (area != 0 && area != (x2 - x1 + 1) * (y2 - y1 + 1)) flag = false; } } if (flag) ans = x; } cout << ans << endl; }
#include <bits/stdc++.h> using namespace std; string hexc(char c) { if (c == '0') return "0000"; if (c == '1') return "0001"; if (c == '2') return "0010"; if (c == '3') return "0011"; if (c == '4') return "0100"; if (c == '5') return "0101"; if (c == '6') return "0110"; if (c == '7') return "0111"; if (c == '8') return "1000"; if (c == '9') return "1001"; if (c == 'A') return "1010"; if (c == 'B') return "1011"; if (c == 'C') return "1100"; if (c == 'D') return "1101"; if (c == 'E') return "1110"; return "1111"; } bool rowisfine(string row, long long mod, long long n) { vector<string> bins(n / 4); for (long long i = 0; i < n / 4; ++i) { bins[i] = hexc(row[i]); } for (long long i = 0; i < n / mod; ++i) { char c = bins[i * mod / 4][i * mod % 4]; for (long long j = 1; j < mod; ++j) { long long curi = i * mod + j; if (bins[curi / 4][curi % 4] != c) return false; } } return true; } int32_t main() { ios_base::sync_with_stdio(false); cin.tie(NULL); long long n; cin >> n; long long cols = n / 4; vector<string> s(n); for (long long i = 0; i < n; ++i) cin >> s[i]; bool done = false; for (long long i = n; i >= 2; --i) { if (n % i) continue; long long row; for (row = 0; row < n; ++row) { if (row % i == 0) { if (!rowisfine(s[row], i, n)) { break; } } else { long long col; for (col = 0; col < cols; ++col) { if (s[row][col] != s[row - 1][col]) break; } if (col != cols) break; ; } } if (row == n) { done = true; cout << i << endl; break; } } if (!done) cout << 1 << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int main() { ios::sync_with_stdio(false); cin.tie(0); long long int n; cin >> n; vector<string> input(n + 1); for (long long int i = 1; i <= n; i++) { cin >> input[i]; } vector<long long int> vec; for (long long int i = 2; i <= sqrt(n); i++) { if (n % i == 0) { if (n / i == i) { vec.push_back(i); } else { vec.push_back(i); vec.push_back(n / i); } } } vec.push_back(n); sort(vec.begin(), vec.end()); reverse(vec.begin(), vec.end()); for (long long int x = n; x >= 2; x--) { if (n % x != 0) continue; long long int f = 0; for (long long int i = 1; i <= n; i++) { long long int j = i; for (j = i; j < i + x; j++) { if (input[j] != input[i]) { f = 1; break; } } if (f == 1) { break; } i = j - 1; } if (f == 1) { continue; } for (long long int i = 1; i <= n; i += x) { vector<int> v; v.push_back(0); for (long long int j = 0; j < input[i].size(); j++) { if (input[i][j] == '0') { v.push_back(0); v.push_back(0); v.push_back(0); v.push_back(0); } else if (input[i][j] == '1') { v.push_back(0); v.push_back(0); v.push_back(0); v.push_back(1); } else if (input[i][j] == '2') { v.push_back(0); v.push_back(0); v.push_back(1); v.push_back(0); } else if (input[i][j] == '3') { v.push_back(0); v.push_back(0); v.push_back(1); v.push_back(1); } else if (input[i][j] == '4') { v.push_back(0); v.push_back(1); v.push_back(0); v.push_back(0); } else if (input[i][j] == '5') { v.push_back(0); v.push_back(1); v.push_back(0); v.push_back(1); } else if (input[i][j] == '6') { v.push_back(0); v.push_back(1); v.push_back(1); v.push_back(0); } else if (input[i][j] == '7') { v.push_back(0); v.push_back(1); v.push_back(1); v.push_back(1); } else if (input[i][j] == '8') { v.push_back(1); v.push_back(0); v.push_back(0); v.push_back(0); } else if (input[i][j] == '9') { v.push_back(1); v.push_back(0); v.push_back(0); v.push_back(1); } else if (input[i][j] == 'A') { v.push_back(1); v.push_back(0); v.push_back(1); v.push_back(0); } else if (input[i][j] == 'B') { v.push_back(1); v.push_back(0); v.push_back(1); v.push_back(1); } else if (input[i][j] == 'C') { v.push_back(1); v.push_back(1); v.push_back(0); v.push_back(0); } else if (input[i][j] == 'D') { v.push_back(1); v.push_back(1); v.push_back(0); v.push_back(1); } else if (input[i][j] == 'E') { v.push_back(1); v.push_back(1); v.push_back(1); v.push_back(0); } else if (input[i][j] == 'F') { v.push_back(1); v.push_back(1); v.push_back(1); v.push_back(1); } } long long int f2 = 0; for (long long int k = 1; k <= n; k++) { long long int j = k; for (j = k; j < k + x; j++) { if (v[j] != v[k]) { f2 = 1; break; } } if (f2 == 1) { break; } k = j - 1; } if (f2 == 1) { f = 1; break; } } if (f == 1) { continue; } cout << x; return 0; } cout << 1; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 5.2e3 + 5; int gcd(int a, int b) { return b ? gcd(b, a % b) : a; } char s[MAXN]; bool a[MAXN][MAXN]; int main(void) { int n; scanf("%d", &n); for (int i = 1; i <= n; ++i) { scanf("%s", s + 1); for (int j = 1; s[j]; ++j) { if (s[j] >= '0' && s[j] <= '9') s[j] -= '0'; else s[j] = s[j] - 'A' + 10; for (int k = 0; k < 4; ++k) a[i][(j << 2) - k] = (s[j] >> k) & 1; } } int x = 0; for (int i = 1; i <= n && x != 1; ++i) for (int l = 1, r = 1; l <= n && x != 1; l = r) { while (r <= n && a[i][r] == a[i][l]) ++r; x = gcd(x, r - l); } for (int j = 1; j <= n && x != 1; ++j) for (int l = 1, r = 1; l <= n && x != 1; l = r) { while (r <= n && a[r][j] == a[l][j]) ++r; x = gcd(x, r - l); } printf("%d", x); return 0; }
#include <bits/stdc++.h> using namespace std; vector<long long int> divisors; bool a[5205][5205]; long long dp[5205][5205]; map<char, long long> m; long long power(long long a, long long b) { if (b == 0) return 1; if (b == 1) return a; if (b % 2 == 1) return (power(a, b - 1) * a) % 1000000007; long long q = power(a, b / 2); return (q * q) % 1000000007; } int main() { ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0); int TESTS = 1; while (TESTS--) { long long n; cin >> n; for (long long int i = 1; i < n + 1; i++) { if (n % i == 0) divisors.push_back(i); } for (long long int i = 0; i < 10; i++) { m[(char)('0' + i)] = i; } for (long long int i = 0; i < 6; i++) { m[(char)('A' + i)] = 10 + i; } long long p = n / 4; for (long long int i = 1; i < n + 1; i++) { string s; cin >> s; for (long long int j = 0; j < p; j++) { long long g = m[s[j]], c = 0; while (g > 0) { if (g % 2 == 1) a[i][4 * (j + 1) - c] = 1; g /= 2; c++; } } } for (long long int i = 1; i < n + 1; i++) { for (long long int j = 1; j < n + 1; j++) { dp[i][j] = dp[i][j - 1] + a[i][j]; } } for (long long int j = 1; j < n + 1; j++) { for (long long int i = 1; i < n + 1; i++) { dp[i][j] += dp[i - 1][j]; } } long long ans = 0; long long f = 0; for (auto u : divisors) { u = n / u; f = 0; for (int i = u; i <= n; i += u) { for (int j = u; j <= n; j += u) { long long k = dp[i][j] + dp[i - u][j - u] - dp[i - u][j] - dp[i][j - u]; if (k != u * u && k != 0) { f = 1; break; } } if (f) break; } if (!f) { ans = u; break; } } cout << ans; } return 0; }
#include <bits/stdc++.h> using namespace std; long long mod = 1e9 + 7; int main() { std::ios_base::sync_with_stdio(false), cin.tie(NULL), cout.tie(NULL); map<char, string> has; has['0'] = "0000"; has['1'] = "0001"; has['2'] = "0010"; has['3'] = "0011"; has['4'] = "0100"; has['5'] = "0101"; has['6'] = "0110"; has['7'] = "0111"; has['8'] = "1000"; has['9'] = "1001"; has['A'] = "1010"; has['B'] = "1011"; has['C'] = "1100"; has['D'] = "1101"; has['E'] = "1110"; has['F'] = "1111"; int n; cin >> n; string inp[n], s[n]; for (long long i = 0; i < n; i++) cin >> inp[i]; for (long long i = 0; i < n; i++) { s[i] = ""; for (char c : inp[i]) s[i] += has[c]; } int dp[n][n]; memset(dp, 0, sizeof dp); dp[0][0] = s[0][0] - '0'; for (long long i = 1; i <= n - 1; i++) { dp[0][i] += (dp[0][i - 1] + s[0][i] - '0'); dp[i][0] += (dp[i - 1][0] + s[i][0] - '0'); } for (long long i = 1; i <= n - 1; i++) for (long long j = 1; j <= n - 1; j++) dp[i][j] = dp[i - 1][j] + dp[i][j - 1] - dp[i - 1][j - 1] + (s[i][j] - '0'); vector<int> f; for (int i = 1; i * i <= n; i++) { if ((n % i) == 0) { f.push_back(i); if ((i * i) != n) f.push_back(n / i); } } sort(f.begin(), f.end()); int ans = 0; for (int x : f) { int flg = 0; for (int i = x - 1; i < n; i += x) { for (int j = x - 1; j < n; j += x) { int sub1 = 0, sub2 = 0, add = 0; if (i >= x) sub1 = dp[i - x][j]; if (j >= x) sub2 = dp[i][j - x]; if (i >= x && j >= x) add = dp[i - x][j - x]; int y = dp[i][j] - sub1 - sub2 + add; if ((y != 0) && (y != x * x)) flg = 1; } if (flg) break; } if (!flg) ans = x; } cout << ans << "\n"; return 0; }
#include <bits/stdc++.h> using namespace std; void solve() { int n, x; cin >> n; string s; vector<vector<bool>> a(n, vector<bool>(n, false)); for (int i = 0; i < n; i++) { cin >> s; for (int j = 0; j < s.size(); j++) { if (isalpha(s[j])) { x = s[j] - 'A' + 10; } else { x = s[j] - '0'; } for (int k = 3; k >= 0; k--) { a[i][j * 4 + k] = (x % 2 == 1); x /= 2; } } } int ans = 0; vector<vector<int>> sum(n + 1, vector<int>(n + 1, 0)); for (int i = 1; i <= n; i++) { for (int j = 1; j <= n; j++) { sum[i][j] = sum[i - 1][j] + sum[i][j - 1] - sum[i - 1][j - 1]; sum[i][j] += a[i - 1][j - 1]; } } vector<int> div; for (int i = 1; i * i <= n; i++) { if (n % i == 0) { div.push_back(i); if (i * i != n) { div.push_back(n / i); } } } sort(div.begin(), div.end()); int m, d, tot; bool valid; int ss1, ss2, ee1, ee2; for (int ii = div.size() - 1; ii >= 0; ii--) { m = div[ii]; d = n / m; valid = true; for (int i = 0; valid && i < n; i += m) { for (int j = 0; j < n; j += m) { ss1 = i; ss2 = i + m - 1; ee1 = j; ee2 = j + m - 1; tot = sum[ss2 + 1][ee2 + 1]; tot -= sum[ss1][ee2 + 1]; tot -= sum[ss2 + 1][ee1]; tot += sum[ss1][ee1]; if ((tot != m * m) && (tot != 0)) { valid = false; break; } } } if (valid) { cout << m << endl; return; } } } int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); solve(); return 0; }
#include <bits/stdc++.h> using namespace std; const int mn = 1 * (int)(1e5) + 10; const int mod = 1 * (int)(1e9) + 7; const int mm = 5 * (int)(1e3) + 200 + 10; const int base = 1 * (int)(1e9); const bool aNs = 0; int tt, ntest = 1; void docfile() { ios::sync_with_stdio(false); cin.tie(nullptr); if (ifstream("test" ".inp")) { freopen( "test" ".inp", "r", stdin); if (!aNs) freopen( "test" ".out", "w", stdout); else freopen( "test" ".ans", "w", stdout); } else if (ifstream("" ".inp")) { freopen( "" ".inp", "r", stdin); freopen( "" ".out", "w", stdout); } } template <typename T> void read(T& x) { x = 0; T f = 1; char ch = getchar(); while (!isdigit(ch)) f = ch == '-' ? -f : f, ch = getchar(); while (isdigit(ch)) x = x * 10 + ch - '0', ch = getchar(); x *= f; } template <typename T> void write(T a) { if (a < 0) { putchar('-'); write(-a); return; } if (a < 10) { putchar('0' + a); return; } write(a / 10); putchar((char)('0' + (a % 10))); } string s[16]; int a[mm][mm]; bool Kt(int x, int y, int m, int n) { return (a[m][n] - a[m][y - 1] - a[x - 1][n] + a[x - 1][y - 1] == 0 || a[m][n] - a[m][y - 1] - a[x - 1][n] + a[x - 1][y - 1] == (m - x + 1) * (n - y + 1)); } void enter() { int n; read(n); int ok = 0; s[0] = "0000"; s[1] = "0001"; s[2] = "0010"; s[3] = "0011"; s[4] = "0100"; s[5] = "0101"; s[6] = "0110"; s[7] = "0111"; s[8] = "1000"; s[9] = "1001"; s[10] = "1010"; s[11] = "1011"; s[12] = "1100"; s[13] = "1101"; s[14] = "1110"; s[15] = "1111"; for (int i = 1; i <= n; ++i) for (int j = 1; j <= n; j += 4) { int x; char c = getchar(); while (!isdigit(c) && !isalpha(c)) c = getchar(); if (isdigit(c)) x = c - '0'; else x = c - 'A' + 10; for (int k = j; k < j + 4; ++k) a[i][k] = s[x][k - j] - '0'; } for (int i = 1; i <= n; ++i) for (int j = 1; j <= n; ++j) a[i][j] += a[i - 1][j] + a[i][j - 1] - a[i - 1][j - 1]; int sol = 1; for (int mid = n; mid >= 2; --mid) if (n % mid == 0) { bool Ok = 1; for (int i = 0; i + mid <= n; i += mid) for (int j = 0; j + mid <= n; j += mid) if (!Kt(i + 1, j + 1, i + mid, j + mid)) Ok = 0; if (Ok) { cout << mid; return; } } cout << sol; } void solve() {} void print_result() {} int main() { docfile(); for (tt = 1; tt <= ntest; ++tt) { enter(); solve(); print_result(); } }
#include <bits/stdc++.h> using namespace std; int main() { ios::sync_with_stdio(false); cin.tie(0); cout << fixed << setprecision(15); int n; cin >> n; int m = n / 4; vector<vector<int> > a(n, vector<int>(m)); vector<vector<int> > c(n, vector<int>(m)); for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { char c; cin >> c; a[i][j] = isdigit(c) ? c - '0' : c - 'A' + 10; } } for (int i = 0; i + 4 <= n; i++) { vector<vector<int> > b(4, vector<int>(n)); for (int j = i; j < i + 4; j++) { for (int k = 0; k < m; k++) { int tmp = a[j][k]; for (int t = 3; t >= 0; t--) { b[j - i][k * 4 + t] = tmp % 2; tmp /= 2; } } } for (int k = 0; k < n; k++) { int tmp = 0; for (int j = 0; j < 4; j++) { tmp = tmp * 2 + b[j][k]; } c[k][i / 4] = tmp; } } auto compression = [&](int x) { for (int i = 0; i + x <= n; i += x) { vector<int> b = a[i]; for (int j = i; j < i + x; j++) { for (int k = 0; k < m; k++) { b[k] &= a[j][k]; } } for (int j = i; j < i + x; j++) { for (int k = 0; k < m; k++) { if (b[k] != a[j][k]) return false; } } } for (int i = 0; i + x <= n; i += x) { vector<int> b = c[i]; for (int j = i; j < i + x; j++) { for (int k = 0; k < m; k++) { b[k] &= c[j][k]; } } for (int j = i; j < i + x; j++) { for (int k = 0; k < m; k++) { if (b[k] != c[j][k]) return false; } } } return true; }; int ans = 1; for (int x = 1; x * x <= n; x++) { if (n % x) continue; if (compression(x)) { ans = max(ans, x); } if (x * x != n && compression(n / x)) { ans = max(ans, n / x); } } cout << ans << '\n'; return 0; }
#include <bits/stdc++.h> #pragma warning(disable : 6031) using namespace std; const int maxn = 2e5 + 10; const long long mode = 1e9 + 7; const int inf = 0x3f3f3f3f; const double pi = 3.14159265358979323846264338327950; template <class T> inline T min(T a, T b, T c) { return min(min(a, b), c); } template <class T> inline T max(T a, T b, T c) { return max(max(a, b), c); } template <class T> inline T min(T a, T b, T c, T d) { return min(min(a, b), min(c, d)); } template <class T> inline T max(T a, T b, T c, T d) { return max(max(a, b), max(c, d)); } int n; bool a[5211][5211]; int gcd(int a, int b) { return a == 0 ? b : gcd(b % a, a); } void parse_char(int x, int y, char c) { int num = -1; if (isdigit(c)) num = c - '0'; else num = c - 'A' + 10; for (int i = 0; i < 4; ++i) { a[x][y + 3 - i] = num & 1; num >>= 1; } } int main() { scanf("%d", &n); char buf[5211]; for (int i = 0; i < n; i++) { scanf("%s", buf); for (int j = 0; j < n / 4; ++j) parse_char(i, j * 4, buf[j]); } int g = n; for (int i = 0; i < n; i++) for (int j = 0; j < n; j++) { int k = j; while (k < n && a[i][k] == a[i][j]) ++k; g = gcd(g, k - j); j = k - 1; } for (int j = 0; j < n; j++) for (int i = 0; i < n; i++) { int k = i; while (k < n && a[k][j] == a[i][j]) ++k; g = gcd(g, k - i); i = k - 1; } cout << g << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int mat[5201][5201]; int n; vector<int> factors; bool eval(int x) { for (int i = 0; i < (n / x); i++) { for (int j = 0; j < (n / x); j++) { int block_val; for (int k = 0; k < x; k++) { for (int l = 0; l < x; l++) { if (k == 0 && l == 0) block_val = mat[x * i + k][x * j + l]; else { if (mat[x * i + k][x * j + l] != block_val) return false; } } } } } return true; } int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); cin >> n; int num; for (int i = 0; i < n; i++) { string s; cin >> s; for (int j = 0; j < s.length(); j++) { if (s[j] >= '0' && s[j] <= '9') { num = s[j] - '0'; for (int k = 0; k < 4; k++) { if (num & (1 << (3 - k))) mat[i][4 * j + k] = 1; else mat[i][4 * j + k] = 0; } } else { num = s[j] - 'A'; num += 10; for (int k = 0; k < 4; k++) { if (num & (1 << (3 - k))) mat[i][4 * j + k] = 1; else mat[i][4 * j + k] = 0; } } } } for (int i = 1; i <= n; i++) { if (n % i == 0) factors.push_back(i); } int start = 0, end = factors.size() - 1; int ans; for (int i = 0; i < factors.size(); i++) { bool var = eval(factors[i]); if (var == true) { ans = i; } } cout << factors[ans]; }
#include <bits/stdc++.h> #pragma GCC optimize("Ofast") using namespace std; const long double eps = 1e-7; const int inf = 1000000010; const long long INF = 10000000000000010LL; const int mod = 1000000007; const int MAXN = 5300; int n, m, k, u, v, x, y, t, a, b, ans, cnt; bool A[MAXN][MAXN]; vector<int> D; char ch; bool check(int x) { for (int i = 0; i < n; i += x) for (int j = 0; j < n; j += x) { bool f = A[i][j]; for (int ii = i; ii < i + x; ii++) for (int jj = j; jj < j + x; jj++) if (A[ii][jj] != f) return 0; } return 1; } int main() { ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0); cin >> n; for (int i = 0; i < n; i++) { for (int j = 0; j < n; j += 4) { cin >> ch; if ('0' <= ch && ch <= '9') x = ch - '0'; else x = ch - 'A' + 10; if (x & 8) A[i][j] = 1; if (x & 4) A[i][j + 1] = 1; if (x & 2) A[i][j + 2] = 1; if (x & 1) A[i][j + 3] = 1; } } for (int i = 1; i <= n; i++) if (n % i == 0) D.push_back(i), cnt++; for (int x : D) { if (check(x)) ans = x; } cout << ans << '\n'; return 0; }
#include <bits/stdc++.h> using namespace std; int sum[5220][5220]; int m; vector<int> d; bool work(int p) { int b = m / p, ans; for (int i = 1; i <= b; ++i) { for (int j = 1; j <= b; ++j) { ans = sum[i * p][j * p] - sum[(i - 1) * p][j * p] - sum[i * p][(j - 1) * p] + sum[(i - 1) * p][(j - 1) * p]; if (ans && ans != p * p) return 0; } } return 1; } void show() { for (int i = 1; i <= m; ++i) { for (int j = 1; j <= m; ++j) { printf("%d%c", sum[i][j], j == m ? '\n' : ' '); } } } int main() { int n, x, i, j, k, w; scanf("%d", &n); m = n; for (i = 1; i <= n; ++i) { for (j = 1; j <= (n >> 2); ++j) { scanf("%1x", &x); for (k = j << 2, w = 1; w <= 4; --k, ++w) { sum[i][k] = x & 1, x >>= 1; } } } for (int i = 1; i <= n; ++i) { for (int j = 1; j <= n; ++j) { sum[i][j] += sum[i][j - 1] + sum[i - 1][j] - sum[i - 1][j - 1]; } } for (i = 2; i * i <= n; ++i) { if (n % i == 0) { d.push_back(i); while (n % i == 0) n /= i; } } if (n > 1) d.push_back(n); int ans = 1; for (int p : d) { while (m % (ans * p) == 0 && work(ans * p)) ans *= p; } printf("%d\n", ans); }
#include <bits/stdc++.h> using namespace std; int oneh[5209][5209], onev[5209][5209]; string qn[5209]; int main() { ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0); long long int n; cin >> n; vector<int> fac; for (long long int i = 1; i <= n; i++) { if (n % i == 0) fac.push_back(i); } fac.push_back(n); long long int sz = fac.size(); for (long long int i = 1; i <= n; i++) qn[i] = qn[i] + " "; for (long long int i = 1; i <= n; i++) { string s; cin >> s; long long int yo = n / 4; for (long long int j = 0; j <= yo - 1; j++) { switch (s[j]) { case '0': qn[i] += "0000"; break; case '1': qn[i] += "0001"; break; case '2': qn[i] += "0010"; break; case '3': qn[i] += "0011"; break; case '4': qn[i] += "0100"; break; case '5': qn[i] += "0101"; break; case '6': qn[i] += "0110"; break; case '7': qn[i] += "0111"; break; case '8': qn[i] += "1000"; break; case '9': qn[i] += "1001"; break; case 'A': qn[i] += "1010"; break; case 'B': qn[i] += "1011"; break; case 'C': qn[i] += "1100"; break; case 'D': qn[i] += "1101"; break; case 'E': qn[i] += "1110"; break; case 'F': qn[i] += "1111"; break; } } } for (long long int i = 0; i <= n; i++) { onev[0][i] = 0; oneh[0][i] = 0; onev[i][0] = 0; oneh[i][0] = 0; } for (long long int i = 1; i <= n; i++) { for (long long int j = 1; j <= n; j++) { if (qn[i][j] == '0') { oneh[i][j] = oneh[i - 1][j]; } else { oneh[i][j] = oneh[i - 1][j] + 1; } } } for (long long int i = 1; i <= n; i++) { for (long long int j = 1; j <= n; j++) { { onev[i][j] = onev[i][j - 1] + oneh[i][j]; } } } for (long long int i1 = sz - 1; i1 >= 0; i1--) { long long int req = fac[i1]; long long int haa = n / req; int fou = 1; long long int da = req * req; for (long long int i = 1; i <= haa; i++) { for (long long int j = 1; j <= haa; j++) { if ((((onev[i * req][j * req] - onev[(i - 1) * req][j * req]) % da != 0)) || ((onev[i * req][j * req] - onev[(i)*req][(j - 1) * req]) % da != 0)) { fou = 0; break; } } } if (fou == 1) { cout << fac[i1] << endl; return 0; } } return 0; }
#include <bits/stdc++.h> #pragma GCC optimize("O3") using namespace std; string to_bin(char c) { switch (c) { case '0': return "0000"; break; case '1': return "0001"; break; case '2': return "0010"; break; case '3': return "0011"; break; case '4': return "0100"; break; case '5': return "0101"; break; case '6': return "0110"; break; case '7': return "0111"; break; case '8': return "1000"; break; case '9': return "1001"; break; case 'A': return "1010"; break; case 'B': return "1011"; break; case 'C': return "1100"; break; case 'D': return "1101"; break; case 'E': return "1110"; break; case 'F': return "1111"; break; case 'a': return "1010"; break; case 'b': return "1011"; break; case 'c': return "1100"; break; case 'd': return "1101"; break; case 'e': return "1110"; break; case 'f': return "1111"; break; } } int main() { ios::sync_with_stdio(0); cin.tie(0); cout.tie(0); int n; char c; string s, t; cin >> n; vector<string> v; bool bad = false, bd = false; for (int i = 0; i < n; i++) { s = ""; for (int j = 0; j < n / 4; j++) { cin >> c; if (j == 0) { if (c != '0' && c != 'F') bd = true; } if (c != '0' && c != 'F') bad = true; s += to_bin(c); } v.push_back(s); } vector<int> del; for (int i = 1; i * i <= n; i++) { if (n % i == 0) { del.push_back(i); if (i * i < n) del.push_back(n / i); } } sort(del.begin(), del.end()); reverse(del.begin(), del.end()); for (int d : del) { if (d == 1) { cout << 1; return 0; } if ((d % 4 == 0) && bad) continue; if (d >= 4 && bd) continue; int ii = 0; int jj = 0; bool f = true; while (f && ii < n - 1) { char b = v[ii][jj]; for (int i = ii; i < ii + d; i++) { for (int j = jj; j < jj + d; j++) { if (v[i][j] != b) { f = false; break; } } } jj += d; if (jj == n) { ii += d; jj = 0; } } if (f) { cout << d; return 0; } } }
#include <bits/stdc++.h> using namespace std; string f(char x) { if (x == '0') return "0000"; if (x == '1') return "0001"; if (x == '2') return "0010"; if (x == '3') return "0011"; if (x == '4') return "0100"; if (x == '5') return "0101"; if (x == '6') return "0110"; if (x == '7') return "0111"; if (x == '8') return "1000"; if (x == '9') return "1001"; if (x == 'A') return "1010"; if (x == 'B') return "1011"; if (x == 'C') return "1100"; if (x == 'D') return "1101"; if (x == 'E') return "1110"; if (x == 'F') return "1111"; } int main() { int n; scanf("%d", &n); char s[5005]; bool allZeros = true, allOnes = true; vector<string> inp(5205, ""); for (int i = 0; i < n; ++i) { scanf("%s", s); int len = strlen(s); for (int j = 0; j < len; ++j) { inp[i] += f(s[j]); if (s[j] == '0') allOnes = false; else if (s[j] == 'F') allZeros = false; else { allZeros = false; allOnes = false; } } } if (allZeros || allOnes) { cout << n << endl; return 0; } vector<int> div; for (int i = 1; i <= sqrt(n) + 1; ++i) { if (n % i == 0) { if (i == (n / i)) div.push_back(i); else { div.push_back(i); div.push_back(n / i); } } } sort(div.begin(), div.end()); int ans = 1; for (int i = 1; i < div.size(); i++) { bool success = true; for (int j = 0; j < n / div[i]; j++) { for (int k = 0; k < n / div[i]; k++) { allZeros = true, allOnes = true; for (int l = 0; l < div[i]; l++) { for (int m = 0; m < div[i]; m++) { if (inp[j * div[i] + l][k * div[i] + m] == '0') allOnes = false; else if (inp[j * div[i] + l][k * div[i] + m] == '1') allZeros = false; } } if (allOnes || allZeros) ; else { success = false; break; } } } if (success) ans = max(ans, div[i]); } cout << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; char c; int s[5300][5300], n; int main() { cin >> n; for (int i = 1; i <= n; i++) { for (int j = 1; j <= n; j += 4) { cin >> c; int x; if (c >= '0' && c <= '9') x = c - '0'; else x = c - 'A' + 10; for (int k = 0; k < 4; k++) { s[i][j + k] = (x >> (3 - k)) & 1; } } } for (int i = 1; i <= n; i++) { for (int j = 1; j <= n; j++) { s[i][j] += s[i - 1][j] + s[i][j - 1] - s[i - 1][j - 1]; } } int flag, i; for (i = n; i >= 1; i--) { if (n % i) continue; flag = 1; for (int j = 1; j * i <= n; j++) { for (int k = 1; k * i <= n; k++) { int sum = s[i * j][i * k] - s[i * (j - 1)][i * k] - s[i * j][i * (k - 1)] + s[i * (j - 1)][i * (k - 1)]; if (sum != i * i && sum) { flag = 0; break; } } if (!flag) break; } if (flag) { cout << i << endl; return 0; } } }
#include <bits/stdc++.h> using namespace std; namespace fastIO { bool IOerror = 0; inline char nc() { static char buf[100000], *p1 = buf + 100000, *pend = buf + 100000; if (p1 == pend) { p1 = buf; pend = buf + fread(buf, 1, 100000, stdin); if (pend == p1) { IOerror = 1; return -1; } } return *p1++; } inline bool blank(char ch) { return ch == ' ' || ch == '\n' || ch == '\r' || ch == '\t'; } template <class T> inline bool read(T &x) { bool sign = 0; char ch = nc(); x = 0; for (; blank(ch); ch = nc()) ; if (IOerror) return false; if (ch == '-') sign = 1, ch = nc(); for (; ch >= '0' && ch <= '9'; ch = nc()) x = x * 10 + ch - '0'; if (sign) x = -x; return true; } inline bool read(double &x) { bool sign = 0; char ch = nc(); x = 0; for (; blank(ch); ch = nc()) ; if (IOerror) return false; if (ch == '-') sign = 1, ch = nc(); for (; ch >= '0' && ch <= '9'; ch = nc()) x = x * 10 + ch - '0'; if (ch == '.') { double tmp = 1; ch = nc(); for (; ch >= '0' && ch <= '9'; ch = nc()) tmp /= 10.0, x += tmp * (ch - '0'); } if (sign) x = -x; return true; } inline bool read(char *s) { char ch = nc(); for (; blank(ch); ch = nc()) ; if (IOerror) return false; for (; !blank(ch) && !IOerror; ch = nc()) *s++ = ch; *s = 0; return true; } inline bool read(char &c) { for (c = nc(); blank(c); c = nc()) ; if (IOerror) { c = -1; return false; } return true; } template <typename T, typename... U> inline bool read(T &head, U &...tail) { return read(head) && read(tail...); } struct Ostream_fwrite { char *buf, *p1, *pend; Ostream_fwrite() { buf = new char[100000]; p1 = buf; pend = buf + 100000; } void out(char ch) { if (p1 == pend) { fwrite(buf, 1, 100000, stdout); p1 = buf; } *p1++ = ch; } template <class T> void print(T x) { static char s[15], *s1; s1 = s; if (!x) *s1++ = '0'; if (x < 0) out('-'), x = -x; while (x) *s1++ = x % 10 + '0', x /= 10; while (s1-- != s) out(*s1); } void print(double x, int y) { static long long mul[] = {1, 10, 100, 1000, 10000, 100000, 1000000, 10000000, 100000000, 1000000000, 10000000000LL, 100000000000LL, 1000000000000LL, 10000000000000LL, 100000000000000LL, 1000000000000000LL, 10000000000000000LL, 100000000000000000LL}; if (x < -1e-12) out('-'), x = -x; long long x2 = (long long)floor(x); if (!y && x - x2 >= 0.5) ++x2; x -= x2; x *= mul[y]; long long x3 = (long long)floor(x); if (y && x - x3 >= 0.5) ++x3; print(x2); if (y > 0) { out('.'); for (size_t i = 1; i < y && x3 * mul[i] < mul[y]; out('0'), ++i) ; print(x3); } } void print(char *s) { while (*s) out(*s++); } void print(const char *s) { while (*s) out(*s++); } void flush() { if (p1 != buf) { fwrite(buf, 1, p1 - buf, stdout); p1 = buf; } } ~Ostream_fwrite() { flush(); } } Ostream; template <class T> void print(T x) { Ostream.print(x); } inline void print(char x) { Ostream.out(x); } inline void print(char *s) { Ostream.print(s); } inline void print(const char *s) { Ostream.print(s); } inline void print(double x, int y) { Ostream.print(x, y); } template <typename T, typename... U> inline void print(const T &head, const U &...tail) { print(head); print(tail...); } inline void flush() { Ostream.flush(); } }; // namespace fastIO using namespace fastIO; int getv(char c) { if (isdigit(c)) return (c - '0'); return (c - 'A' + 10); } int n; bool a[5205][5205]; char buf[5205]; int pre[5205][5205]; void check(int x) { int mj = x * x; for (int i = x; i <= n; i += x) { for (int j = x; j <= n; j += x) { int vaa = pre[i][j] - pre[i - x][j] - pre[i][j - x] + pre[i - x][j - x]; if (vaa == 0 || vaa == mj) continue; return; } } cout << x; exit(0); } int main() { read(n); for (int i = 1; i <= n; i++) { read(buf); for (int j = 1, pos = 0; j <= n; j += 4, pos++) { int val = getv(buf[pos]); a[i][j] = val & (1 << 3); a[i][j + 1] = val & (1 << 2); a[i][j + 2] = val & (1 << 1); a[i][j + 3] = val & (1 << 0); } } for (int i = 1; i <= n; i++) { for (int j = 1; j <= n; j++) { pre[i][j] = pre[i - 1][j] + pre[i][j - 1] - pre[i - 1][j - 1] + a[i][j]; } } for (int x = n; x >= 2; x--) { if (n % x != 0) continue; check(x); } cout << 1; return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 5201; int a[N][N]; vector<int> elig; void compute_elig(int n) { for (int i = 1; i * i <= n; i++) { if (n % i == 0) { elig[i] = 1; elig[n / i] = 1; } } } int check(int k, int n) { for (int i = 1; i <= n; i += k) { for (int j = 1; j <= n; j += k) { for (int p = i; p < i + k; p++) { for (int q = j; q < j + k; q++) { if (a[i][j] != a[p][q]) return 0; } } } } return 1; } int32_t main() { ios::sync_with_stdio(0); cin.tie(0); cout.tie(0); ; int n; cin >> n; for (int i = 1; i <= n; i++) { for (int j = 1; j <= n; j += 4) { char ch; cin >> ch; int val; if (isdigit(ch)) val = ch - '0'; else val = ch - 'A' + 10; int cur = 8; for (int k = j; k <= j + 3; k++) { if (val >= cur) { val -= cur; a[i][k] = 1; } cur /= 2; } } } elig.resize(n + 1, 0); compute_elig(n); for (int i = n; i >= 1; i--) { if (elig[i]) { if (check(i, n)) { cout << i << "\n"; return 0; } } } cout << 1; }
#include <bits/stdc++.h> using namespace std; int main() { ios::sync_with_stdio(false); int n; cin >> n; vector<int> divisors; bool matrix[n][n]; for (int i = 1; i <= n; ++i) { if (n % i == 0) { divisors.push_back(i); } } for (int i = 0; i < n; ++i) { for (int j = 0; j < n / 4; ++j) { char c; cin >> c; int num; if (c >= 'A') { num = c - 'A' + 10; } else { num = c - '0'; } matrix[i][j * 4 + 0] = (num >> 3) == 1; matrix[i][j * 4 + 1] = ((num >> 2) & 1) == 1; matrix[i][j * 4 + 2] = ((num >> 1) & 1) == 1; matrix[i][j * 4 + 3] = (num & 1) == 1; } } int currpos = ceil(divisors.size() / 2.0); int increment = ceil(currpos / 2.0); int currguess = divisors[currpos]; bool wasok = false; bool firsttime = true; int largest = 1; for (int i = 0; i < divisors.size(); ++i) { currguess = divisors[i]; bool isok = true; for (int i = 0; i < n / currguess; ++i) { for (int j = 0; j < n / currguess; ++j) { bool currbol = matrix[i * currguess][j * currguess]; for (int k = 0; k < currguess; ++k) { for (int l = 0; l < currguess; ++l) { if (matrix[i * currguess + k][j * currguess + l] != currbol) { isok = false; } } } } } if (isok) { if (currguess > largest) { largest = currguess; } } } cout << largest << "\n"; }
#include <bits/stdc++.h> using namespace std; bool matrix[5205][5205]; char inp[1305]; vector<int> divivi; int func(char c) { if (c >= '0' && c <= '9') return c - '0'; else return c - 'A' + 10; } bool check(int x, int n) { int i, j, r, c, ini; for (r = 0; r < n / x; r++) { for (c = 0; c < n / x; c++) { ini = matrix[r * x][c * x]; for (i = 0; i < x; i++) for (j = 0; j < x; j++) if (matrix[r * x + i][c * x + j] != ini) return 0; } } return 1; } int main() { int n, i, j, cal; scanf("%d", &n); for (i = 0; i < n; i++) { scanf("%s\n", inp); for (j = 0; j < n / 4; j++) { cal = func(inp[j]); matrix[i][j * 4] = (cal & 8); matrix[i][j * 4 + 1] = (cal & 4); matrix[i][j * 4 + 2] = (cal & 2); matrix[i][j * 4 + 3] = (cal & 1); } } for (i = 1; i <= n; i++) if (n % i == 0) divivi.push_back(i); for (i = divivi.size() - 1; i >= 1; i--) if (check(divivi[i], n)) { printf("%d\n", divivi[i]); return 0; } printf("%d\n", divivi[0]); return 0; }
#include <bits/stdc++.h> using namespace std; const double EPS = 1e-6; const int64_t MOD = 1000000007; const int MAXN = 5205; int sum[MAXN][MAXN]; int main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.precision(10); cout << fixed; int n; cin >> n; for (int i = 0; i < (int)(n); i++) { string s; cin >> s; for (int j = 0; j < (int)(n / 4); j++) { int x = (s[j] >= '0' && s[j] <= '9') ? s[j] - '0' : s[j] - 'A' + 10; for (int k = 0; k < (int)(4); k++) { int p = ((x & (1 << (3 - k))) > 0) ? 1 : 0; sum[i + 1][4 * j + k + 1] = sum[i + 1][4 * j + k] + sum[i][4 * j + k + 1] - sum[i][4 * j + k] + p; } } } for (int d = (int)n; d >= (int)(2); d--) { if (n % d == 0) { bool ok = true; for (int i = 0; i < (int)(n / d); i++) { for (int j = 0; j < (int)(n / d); j++) { int x1 = i * d; int y1 = j * d; int x2 = (i + 1) * d; int y2 = (j + 1) * d; int s = sum[x2][y2] - sum[x1][y2] - sum[x2][y1] + sum[x1][y1]; if (s != 0 && s != d * d) { ok = false; break; } } if (!ok) { break; } } if (ok) { cout << d << "\n"; exit(0); } } } cout << "1\n"; return 0; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 5207; string s[MAXN]; string g(int x) { string s; for (int i = 3; i >= 0; i--) { if (x & (1 << i)) s += '1'; else s += '0'; } return s; } string f(char c) { if ('0' <= c && c <= '9') return g(c - '0'); return g(c - 'A' + 10); } vector<int> dv; string fine[MAXN]; int n; bool isOk(int x) { int y = n / x; for (int p = 0; p < y; p++) { int k = p * x; for (int i = 0; i < x; i++) { if (fine[k + i].empty()) return false; if (fine[k + i] != fine[k]) return false; } } return true; } void pre(int x) { int y = n / x; for (int i = 0; i < n; i++) { bool ok = true; for (int p = 0; p < y; p++) { int k = p * x; for (int j = 0; j < x; j++) { if (s[i][k] != s[i][k + j]) { ok = false; break; } } if (ok) fine[i] += s[i][k]; else { fine[i] = ""; break; } } } } int main() { ios::sync_with_stdio(false); cin.tie(0); cin >> n; for (int i = 1; i <= n; i++) { if (n % i) continue; dv.push_back(i); } for (int i = 0; i < n; i++) { string t; cin >> t; for (char c : t) { s[i] += f(c); } } for (int x = n; x > 0; x--) { if (n % x) continue; pre(x); if (isOk(x)) { cout << x << endl; return 0; } } return 0; }
#include <bits/stdc++.h> using namespace std; char mp[5205][5205]; int sum[5205][5205]; int main() { int n; scanf("%d", &n); char a; for (int i = 1; i <= n; i++) { getchar(); for (int j = 1; j <= n; j += 4) { scanf("%c", &a); int x = a > '9' ? a - 'A' + 10 : a - '0'; for (int k = 0; k < 4; k++) sum[i][j + k] = (x >> (3 - k)) & 1; } } for (int i = 1; i <= n; i++) for (int j = 1; j <= n; j++) sum[i][j] += sum[i - 1][j] + sum[i][j - 1] - sum[i - 1][j - 1]; for (int i = n; i >= 1; i--) { if (n % i == 0) { int cnt = i; bool flag = true; for (int row = 1; row * cnt <= n; row++) { for (int col = 1; col * cnt <= n; col++) { int s = sum[cnt * row][cnt * col] - sum[cnt * row][cnt * (col - 1)] - sum[cnt * (row - 1)][cnt * col] + sum[cnt * (row - 1)][cnt * (col - 1)]; flag &= ((s == cnt * cnt) || s == 0); } } if (flag) { cout << i << endl; return 0; } } } }
#include <bits/stdc++.h> using namespace std; inline long long fpow(long long n, long long k, int p = 998244353) { long long r = 1; for (; k; k >>= 1) { if (k & 1) r = r * n % p; n = n * n % p; } return r; } inline long long inv(long long a, long long p = 998244353) { return fpow(a, p - 2, p); } inline long long addmod(long long a, long long val, long long p = 998244353) { { if ((a = (a + val)) >= p) a -= p; } return a; } inline long long submod(long long a, long long val, long long p = 998244353) { { if ((a = (a - val)) < 0) a += p; } return a; } inline long long mult(long long a, long long b, long long p = 998244353) { return (long long)a * b % p; } bool is_digit(char x) { return x - '0' >= 0 && x - '0' <= 9; } int conv(char x) { if (is_digit(x)) return x - '0'; return x - 'A' + 10; } int main() { ios::sync_with_stdio(0); cin.tie(0); cout.tie(0); ; int n; cin >> n; vector<vector<int> > arr(n, vector<int>(n)); for (int i = 0; i < n; i++) { string s; cin >> s; for (int j = 0; j < n; j++) { arr[i][j] = ((conv(s[j / 4])) >> (3 - j % 4)) & 1; } } vector<vector<int> > sum(n + 1, vector<int>(n + 1, 0)); for (int i = 1; i <= n; i++) { for (int j = 1; j <= n; j++) { sum[i][j] = sum[i - 1][j] + sum[i][j - 1] - sum[i - 1][j - 1] + arr[i - 1][j - 1]; } } bool check = true; for (int x = n; x >= 1; x--) { if (n % x) continue; check = true; for (int i = 1; i <= n; i += x) { for (int j = 1; j <= n; j += x) { int currsum = sum[i + x - 1][j + x - 1] + sum[i - 1][j - 1] - sum[i + x - 1][j - 1] - sum[i - 1][j + x - 1]; if (currsum != 0 && currsum != x * x) { check = false; break; } } if (!check) break; } if (check) { cout << x << "\n"; return 0; } } }
#include <bits/stdc++.h> using namespace std; string tob(string s) { string t; for (int i = 0; i < s.size(); i++) { switch (s[i]) { case '0': t += "0000"; break; case '1': t += "0001"; break; case '2': t += "0010"; break; case '3': t += "0011"; break; case '4': t += "0100"; break; case '5': t += "0101"; break; case '6': t += "0110"; break; case '7': t += "0111"; break; case '8': t += "1000"; break; case '9': t += "1001"; break; case 'A': t += "1010"; break; case 'B': t += "1011"; break; case 'C': t += "1100"; break; case 'D': t += "1101"; break; case 'E': t += "1110"; break; case 'F': t += "1111"; break; case 'a': t += "1010"; break; case 'b': t += "1011"; break; case 'c': t += "1100"; break; case 'd': t += "1101"; break; case 'e': t += "1110"; break; case 'f': t += "1111"; break; default: t += '.'; } } return t; } int main() { int n; scanf("%d", &n); string arr[n]; for (int i = 0; i < n; i++) { char ss[700000]; scanf("%s", ss); arr[i] = tob(ss); } vector<int> v; for (int i = 1; i * i <= n; i++) { if (n % i == 0) { if (n / i == i) { v.push_back(i); } else { v.push_back(i); v.push_back(n / i); } } } int mx = 1; for (int m : v) { for (int i = 0; i < n; i += m) { for (int j = 0; j < n; j += m) { int o = arr[i][j]; for (int ii = i; ii < i + m; ii++) { for (int jj = j; jj < j + m; jj++) { if (arr[ii][jj] != o) { goto go; } } } } } mx = max(mx, m); go:; } printf("%d", mx); return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 1e4; const int mod = 1e9 + 7; int n; string s[N]; map<pair<string, int>, bool> dp; bool checkhor(int i, int x) { if (x == 1) return true; string t = s[i]; if (dp.count({t, x})) return dp[{t, x}]; deque<int> v; for (int j = int(t.size() - 1); j >= int(0); j--) { int num = t[j] - '0'; if (t[j] >= 'A' and t[j] <= 'Z') { num = 10 + (t[j] - 'A'); } for (int i = int(1); i <= int(4); i++) { v.push_front(num % 2); num /= 2; } } bool ok = true; for (int i = 0; i < v.size(); i += x) { for (int j = int(i); j <= int(i + x - 1); j++) { if (v[j] != v[i]) { ok = false; break; } } } return dp[{t, x}] = ok; } bool check(int x) { if (x == 1) return true; for (int i = int(1); i <= int(n); i++) { int j = ceil(1.0 * i / x); bool ok = checkhor(i, x); if (s[i] != s[x * (j - 1) + 1] or !ok) { return false; } } return true; } signed main() { ios_base::sync_with_stdio(false), cin.tie(0), cout.tie(0); cin >> n; for (int i = int(1); i <= int(n); i++) cin >> s[i]; for (int i = int(n); i >= int(1); i--) { if (n % i) continue; if (check(i)) { cout << i << '\n'; return 0; } } return 0; }
#include <bits/stdc++.h> using namespace std; int dp[5201][5201]; int main() { ios::sync_with_stdio(0), cin.tie(0), cout.tie(0); int n; cin >> n; for (int i = 1; i <= n; i++) { for (int j = 1; j <= n / 4; j++) { char t; cin >> t; if (t >= 'A') t -= ('A' - 10); else t -= '0'; int tt = t; for (int k = 3; k >= 0; k--) { dp[i][j * 4 - 3 + k] = tt % 2; tt /= 2; } } } for (int i = 1; i <= n; i++) for (int j = 1; j <= n; j++) dp[i][j] = dp[i][j] + dp[i - 1][j] + dp[i][j - 1] - dp[i - 1][j - 1]; vector<int> v; for (int i = 2; i * i <= n; i++) if (n % i == 0) { v.push_back(i); if (n / i != i) v.push_back(n / i); } v.push_back(n); sort(v.begin(), v.end()); int ans = 1; bool ch = 1; for (int i = v.size() - 1; i >= 0; i--) { int t = v[i]; ch = 1; for (int j = t; j <= n && ch; j += t) { for (int k = t; k <= n && ch; k += t) { int no = dp[j][k] - dp[j - t][k] - dp[j][k - t] + dp[j - t][k - t]; if (no != 0 && no != t * t) ch = 0; } } if (ch) { ans = t; break; } } cout << ans; return 0; }
#include <bits/stdc++.h> using namespace std; int n, x, cur, sum[5555][5555], ans; bool mp[5555][5555]; char s[5555]; int main() { scanf("%d", &n); for (int i = 1; i <= n; i++) { scanf("%s", s); x = strlen(s); for (int j = 0; j < x; j++) { if (s[j] >= 'A' && s[j] <= 'F') cur = 10 + s[j] - 'A'; else cur = s[j] - '0'; for (int k = 0; k < 4; k++) { mp[i][j * 4 + k + 1] = (bool)(cur & (1 << (3 - k))); } } } for (int i = 1; i <= n; i++) { for (int j = 1; j <= n; j++) { sum[i][j] = sum[i][j - 1] + sum[i - 1][j] - sum[i - 1][j - 1] + mp[i][j]; } } for (int i = 1; i <= n; i++) { if (n % i == 0) { bool f = 0; for (int j = i; j <= n; j += i) { for (int k = i; k <= n; k += i) { cur = sum[j][k] - sum[j - i][k] - sum[j][k - i] + sum[j - i][k - i]; if (cur != i * i && cur) { f = 1; break; } } if (f) break; } if (!f) ans = i; } } printf("%d\n", ans); return 0; }
#include <bits/stdc++.h> using namespace std; #pragma GCC optimize("O3") const int mod = (1e9) + 7; const double eps = 1e-10; const int siz = 3e5 + 5, siz2 = 33, lg = 21, block = 317, block2 = 1000, mxv = 1e6; const long long idnt[2] = {LLONG_MAX, LLONG_MIN}; int n; bool arr[5205][5205], diff[5205]; char str[1305]; int gcd(int a, int b) { return b == 0 ? a : gcd(b, a % b); } int main() { scanf("%d", &n); for (int i = 1; i <= n; i++) { scanf("%s", str); for (int j = 0; j < n / 4; j++) { int val = str[j] >= 'A' ? str[j] - 'A' + 10 : str[j] - '0'; for (int mask = 1 << 3, k = 1; mask > 0; mask >>= 1, k++) { arr[i][j * 4 + k] = (bool)(val & mask); } } } diff[n] = true; for (int i = 1; i <= n; i++) { for (int j = 1; j <= n; j++) { if (i < n && arr[i][j] != arr[i + 1][j]) { diff[i] = true; } if (j < n && arr[i][j] != arr[i][j + 1]) { diff[j] = true; } } } int g = 0; for (int i = 1; i <= n; i++) { if (diff[i]) { g = gcd(g, i); } } printf("%d\n", g); return 0; }
#include <bits/stdc++.h> using namespace std; const int INF = 1e18; const int mod = 1e9 + 7; const int N = 2e5 + 10; inline int add(int x, int y) { x += y; if (x >= mod) x -= mod; return x; } inline int mul(int x, int y) { x = (1LL * x * y) % mod; return x; } mt19937 rng(chrono::steady_clock::now().time_since_epoch().count()); int mat[5201][1301]; int dp[5201][5201]; int n; int get(int i, int j) { int jj = (j - 1) / 4 + 1; int pos = 3 - (j - 1) % 4; return ((mat[i][jj] & (1 << pos)) > 0 ? 1 : 0); } int get2(int a, int b, int c, int d) { return (dp[c][d] - dp[a - 1][d] - dp[c][b - 1] + dp[a - 1][b - 1]); } void pre() { for (int i = 1; i <= n; ++i) { for (int j = 1; j <= n; ++j) { dp[i][j] = dp[i][j - 1] + dp[i - 1][j] - dp[i - 1][j - 1] + get(i, j); } } } bool check(int x) { for (int r = 1; r <= n / x; ++r) { for (int cc = 1; cc <= n / x; ++cc) { int a = (r - 1) * x + 1; int b = (cc - 1) * x + 1; int c = (r - 1) * x + x; int d = (cc - 1) * x + x; if (get2(a, b, c, d) != 0 && get2(a, b, c, d) != x * x) return false; } } return true; } int32_t main() { ios_base::sync_with_stdio(false), cin.tie(0), cout.tie(0); cin >> n; for (int i = 1; i <= n; ++i) { for (int j = 1; j <= n / 4; ++j) { char ch; cin >> ch; if (ch >= '0' && ch <= '9') mat[i][j] = ch - '0'; else mat[i][j] = ch - 'A' + 10; } } pre(); int ans = 0; for (int i = 1; i * i <= n; i++) { if (n % i == 0) { if (check(i)) ans = max(ans, i); if (i * i != n) if (check(n / i)) ans = max(ans, n / i); } } cout << ans; return 0; }
#include <bits/stdc++.h> using namespace std; int a[5222][5222], ans, n, psum[5222][5222]; vector<int> v; int cal(int sx, int ex, int sy, int ey) { return psum[ex][ey] - psum[ex][sy - 1] - psum[sx - 1][ey] + psum[sx - 1][sy - 1]; } int sol(int x) { for (int i = 0; i < n / x; i++) { int sx = i * x + 1; int ex = i * x + x; for (int j = 0; j < n / x; j++) { int sy = j * x + 1; int ey = j * x + x; if (cal(sx, ex, sy, ey) != a[i * x + 1][j * x + 1] * x * x) { return 0; } } } return 1; } int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); cin >> n; for (int i = 1; i <= n; i++) { string s; cin >> s; int idx = 1; for (int j = 0; j < s.size(); j++) { int cur = 0; if (s[j] >= 'A' && s[j] <= 'F') { cur = s[j] - 'A' + 10; } else { cur = s[j] - '0'; } for (int j = 3; j >= 0; j--) { if ((1 << j) & cur) { a[i][idx] = 1; } idx++; } } } for (int i = 1; i <= n; i++) { for (int j = 1; j <= n; j++) { psum[i][j] = psum[i - 1][j] + psum[i][j - 1] - psum[i - 1][j - 1] + a[i][j]; } } long long sq = sqrt(n); for (int i = 1; i <= sq; i++) { if (n % i == 0) { v.push_back(i); if (n / i != i) { v.push_back(n / i); } } } for (int i = 0; i < v.size(); i++) { if (sol(v[i])) { ans = max(ans, v[i]); } } cout << ans; }
#include <bits/stdc++.h> using namespace std; void solve() { int n; cin >> n; vector<vector<int>> a(n + 1, vector<int>(n + 1)); for (int i = 1; i <= n; ++i) { string second; cin >> second; char c; int y = 0; for (int j = 1; j <= n; j += 4) { c = second[y]; ++y; if (c == '0') { a[i][j] = 0; a[i][j + 1] = 0; a[i][j + 2] = 0; a[i][j + 3] = 0; } else if (c == '1') { a[i][j] = 0; a[i][j + 1] = 0; a[i][j + 2] = 0; a[i][j + 3] = 1; } else if (c == '2') { a[i][j] = 0; a[i][j + 1] = 0; a[i][j + 2] = 1; a[i][j + 3] = 0; } else if (c == '3') { a[i][j] = 0; a[i][j + 1] = 0; a[i][j + 2] = 1; a[i][j + 3] = 1; } else if (c == '4') { a[i][j] = 0; a[i][j + 1] = 1; a[i][j + 2] = 0; a[i][j + 3] = 0; } else if (c == '5') { a[i][j] = 0; a[i][j + 1] = 1; a[i][j + 2] = 0; a[i][j + 3] = 1; } else if (c == '6') { a[i][j] = 0; a[i][j + 1] = 1; a[i][j + 2] = 1; a[i][j + 3] = 0; } else if (c == '7') { a[i][j] = 0; a[i][j + 1] = 1; a[i][j + 2] = 1; a[i][j + 3] = 1; } else if (c == '8') { a[i][j] = 1; a[i][j + 1] = 0; a[i][j + 2] = 0; a[i][j + 3] = 0; } else if (c == '9') { a[i][j] = 1; a[i][j + 1] = 0; a[i][j + 2] = 0; a[i][j + 3] = 1; } else if (c == 'A') { a[i][j] = 1; a[i][j + 1] = 0; a[i][j + 2] = 1; a[i][j + 3] = 0; } else if (c == 'B') { a[i][j] = 1; a[i][j + 1] = 0; a[i][j + 2] = 1; a[i][j + 3] = 1; } else if (c == 'C') { a[i][j] = 1; a[i][j + 1] = 1; a[i][j + 2] = 0; a[i][j + 3] = 0; } else if (c == 'D') { a[i][j] = 1; a[i][j + 1] = 1; a[i][j + 2] = 0; a[i][j + 3] = 1; } else if (c == 'E') { a[i][j] = 1; a[i][j + 1] = 1; a[i][j + 2] = 1; a[i][j + 3] = 0; } else if (c == 'F') { a[i][j] = 1; a[i][j + 1] = 1; a[i][j + 2] = 1; a[i][j + 3] = 1; } } } for (int k = 1; k <= n / 2; ++k) { if (n % k == 0) { int f4 = 0; int r = n / k; for (int i = 1; i <= n; i += r) { int f3 = 0; for (int j = 1; j <= n; j += r) { int f2 = 0; int q = a[i][j]; for (int a1 = 0; a1 < r; ++a1) { int f1 = 0; for (int a2 = 0; a2 < r; ++a2) { if (a[a1 + i][a2 + j] != q) { f1 = 1; break; } } if (f1) { f2 = 1; break; } } if (f2) { f3 = 1; break; } } if (f3) { f4 = 1; break; } } if (f4 == 0) { cout << r; return; } } } cout << 1; } int main() { int t = 1; while (t--) { solve(); } return 0; }
#include <bits/stdc++.h> using namespace std; constexpr int MAXN = 5205; int n, mat[MAXN][MAXN]; std::string s; inline vector<bool> hx2bin(char c) { int val; if (c >= 'A') val = c - 'A' + 10; else val = c - '0'; vector<bool> ret; for (int msk = 1 << 3; msk > 0; msk >>= 1) { ret.push_back(msk & val); } return ret; } inline void add_to_mat(int i) { int j = 1; for (char c : s) { for (bool bit : hx2bin(c)) { mat[i][j] = int(bit) + mat[i][j - 1] + mat[i - 1][j] - mat[i - 1][j - 1]; ++j; } } } inline bool is_okay(int x) { for (int i = x; i <= n; i += x) { for (int j = x; j <= n; j += x) { int ss = mat[i][j] - mat[i - x][j] - mat[i][j - x] + mat[i - x][j - x]; if (ss == 0 || ss == x * x) continue; else return false; } } return true; } int main() { ios_base::sync_with_stdio(false); cin.tie(nullptr); cout.tie(nullptr); cin >> n; for (int i = 1; i <= n; ++i) { cin >> s; add_to_mat(i); } int best_x = 1; for (int x = 1; x * x <= n; ++x) { if (n % x) continue; if (is_okay(n / x)) { best_x = n / x; break; } else if (is_okay(x)) { best_x = x; } } cout << best_x << '\n'; }
#include <bits/stdc++.h> using namespace std; vector<int> find_div(int n) { vector<int> out; for (long long x = 1; x * x <= n; ++x) { if (n % x) continue; out.push_back(x); if (n / x != x) out.push_back(n / x); } sort(out.begin(), out.end()); return out; } int cnv_to10(char ch) { if (isdigit(ch)) return ch - '0'; return 10 + ch - 'A'; } int get_bit(int val, int i) { return (val >> i) & 1; } void fill_next4(vector<int>& dst, int& pos, int val) { for (int i = 3; i >= 0; --i, ++pos) dst[pos] = get_bit(val, i); } vector<vector<int> > calc_p_sum(const vector<vector<int> >& d) { int n = d.size(); vector<vector<int> > p(n, vector<int>(n)); p[0][0] = d[0][0]; for (int j = 1; j < n; ++j) p[0][j] += p[0][j - 1] + d[0][j]; for (int i = 1; i < n; ++i) p[i][0] += p[i - 1][0] + d[i][0]; for (int i = 1; i < n; ++i) for (int j = 1; j < n; ++j) p[i][j] = p[i - 1][j] + p[i][j - 1] - p[i - 1][j - 1] + d[i][j]; return p; } int calc_sum(const vector<vector<int> >& p, int x, int y, int m) { int A = 0; if (x - 1 >= 0 && y - 1 >= 0) A = p[x - 1][y - 1]; int B = 0; if (x - 1 >= 0) B = p[x - 1][y + m]; int C = 0; if (y - 1 >= 0) C = p[x + m][y - 1]; int D = p[x + m][y + m]; return D - B - C + A; } int main() { std::ios::sync_with_stdio(false); int n; cin >> n; vector<int> divisors = find_div(n); reverse(divisors.begin(), divisors.end()); vector<vector<int> > d(n, vector<int>(n)); for (int i = 0; i < n; ++i) { int pos = 0; string s; cin >> s; for (char ch : s) fill_next4(d[i], pos, cnv_to10(ch)); } auto p_sum = calc_p_sum(d); for (int m : divisors) { bool failed = false; for (int i = 0; i < n; i += m) { for (int j = 0; j < n; j += m) { int ss = calc_sum(p_sum, i, j, m - 1); if (ss == 0 || ss == m * m) continue; failed = true; break; } if (failed) break; } if (!failed) { cout << m << endl; break; } } return 0; }
#include <bits/stdc++.h> using namespace std; using ll = long long; bitset<(int)(5200)> mat[(int)(5200)]; int gcd(int a, int b) { int r = a % b; while (r) { a = b; b = r; r = a % b; } return b; } int hex(char ch) { return isdigit(ch) ? ch - '0' : ch - 'A' + 10; } int main() { ios_base ::sync_with_stdio(NULL); cin.tie(0); int n; cin >> n; for (int i = 0; i < n; i++) { string st; cin >> st; for (char ch : st) { mat[i] <<= 4; mat[i] |= hex(ch); } } bool fl = 0; int gc; for (int i = 0; i < n; i++) { int cc = 1; for (int j = n - 2; j >= n - n; j--) { if (mat[i][j] == mat[i][j + 1]) { cc++; } else { if (!fl) { gc = cc; fl = 1; } else { gc = gcd(cc, gc); } cc = 1; } } if (!fl) { gc = cc; } else { gc = gcd(cc, gc); } } for (int j = n - 1; j >= n - n; j--) { int cc = 1; for (int i = 1; i < n; i++) { if (mat[i - 1][j] == mat[i][j]) { cc++; } else { if (!fl) { gc = cc; } else { gc = gcd(cc, gc); } cc = 1; } } if (!fl) { gc = cc; } else { gc = gcd(cc, gc); } } cout << gc << "\n"; }
#include <bits/stdc++.h> using namespace std; const double PI = 3.14159265358979323846; const double eps = (1e-8); string g[5205]; int rEqual[5205][5205], cEqual[5205][5205]; int n; bool check(int x) { for (int j = 0; j < n; j += x) { for (int i = 0; i < n; i += x) { if (rEqual[i][j] < x || cEqual[i][j] < x) return false; for (int st = j; st < j + x; ++st) { if (cEqual[i][st] < x) return false; } } } return true; } int main() { ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0); cin >> n; for (int i = 0; i < n; ++i) { for (int j = 0; j < n / 4; ++j) { char c; cin >> c; if (isalpha(c)) { c -= 'A' - 10; } else c -= '0'; string bin; while (c) { bin += c % 2 + '0'; c /= 2; } while ((int)(bin).size() < 4) bin += '0'; reverse(bin.begin(), bin.end()); g[i] += bin; } } for (int i = 0; i < n; ++i) { for (int j = 0; j < n; ++j) { int st = j; char c = g[i][j]; while (j < n && g[i][j] == c) { rEqual[i][st]++; ++j; } --j; for (int k = st + 1; k <= j; ++k) rEqual[i][k] = rEqual[i][k - 1] - 1; } } for (int j = 0; j < n; ++j) { for (int i = 0; i < n; ++i) { int st = i; char c = g[i][j]; while (i < n && g[i][j] == c) { cEqual[st][j]++; ++i; } --i; for (int k = st + 1; k <= i; ++k) cEqual[k][j] = cEqual[k - 1][j] - 1; } } for (int i = n; i > 1; --i) { if (n % i == 0 && check(i)) { cout << i << '\n'; return 0; } } cout << 1 << '\n'; return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 5200 + 11; int n, w; bool row[maxn][maxn]; bool col[maxn][maxn]; char x; bool check(bool *row, int l) { bool ret = 1; for (int i = 0, j = 0; i < n;) { while (j < i + l) ret &= row[i] == row[j++]; i = j; } return ret; } int32_t main() { ios::sync_with_stdio(0), cin.tie(0), cout.tie(0); cin >> n; for (int i = 0; i < n; i++) { for (int j = 0; j < n / 4; j++) { cin >> x; if (x >= '0' and x <= '9') w = x - '0'; else w = x - 'A' + 10; for (int k = 0; k < 4; k++) { row[i][4 * j + k] = (w >> (3 - k)) & 1; col[4 * j + k][i] = row[i][4 * j + k]; } } } int ans = 1; for (int i = 2; i <= n; i++) { if (n % i) continue; bool ok = true; for (int j = 0; j < n; j++) ok &= check(row[j], i); for (int j = 0; j < n; j++) ok &= check(col[j], i); if (ok) ans = i; } cout << ans << '\n'; return 0; }
#include <bits/stdc++.h> using namespace std; int mat[5210][5210], n, d[5210]; void get_input(int i, int jstart, int num) { mat[i][jstart] = num / 8; mat[i][jstart + 1] = (num % 8) / 4; mat[i][jstart + 2] = (num % 4) / 2; mat[i][jstart + 3] = num % 2; } int check(int baseline, int i, int j, int step) { for (int inneri = 0; inneri < step; inneri++) for (int innerj = 0; innerj < step; innerj++) if (mat[i + inneri][j + innerj] != baseline) return 0; return 1; } int checkdiv(int num) { int baseline; for (int i = 1; i <= n; i += d[num]) { for (int j = 1; j <= n; j += d[num]) { baseline = mat[i][j]; if (!check(baseline, i, j, d[num])) return 0; } } return 1; } int main() { int divnum = 0; char ch; cin >> n; scanf("%c", &ch); for (int i = 1; i <= n; i++) { for (int j = 1; j <= n / 4; j++) { scanf("%c", &ch); if (ch >= 48 && ch <= 57) get_input(i, j * 4 - 3, ch - 48); if (ch >= 65 && ch <= 90) get_input(i, j * 4 - 3, ch - 55); } scanf("%c", &ch); } for (int i = 1; i <= n; i++) { if (n % i == 0) { divnum++; d[divnum] = i; } } for (int num = divnum; num >= 1; num--) { if (checkdiv(num)) { cout << d[num] << endl; break; } } }
#include <bits/stdc++.h> using namespace std; int n; int maxt[5210][5210]; int a[5210][5210]; char str[5210]; int getn(char ch) { if (ch >= '0' && ch <= '9') { return ch - '0'; } else { return 10 + ch - 'A'; } } int main() { scanf("%d", &n); memset(maxt, 0, sizeof(maxt)); for (int i = 1; i <= n; i++) { scanf("%s", str + 1); int In = 0, len = strlen(str + 1); for (int j = len; j >= 1; j--) { int N = getn(str[j]); int Jn = 0; while (N) { a[i][n - In - Jn] = N % 2; N /= 2; Jn++; } for (; Jn < 4; Jn++) { if (n - In - Jn == 0) { break; } a[i][n - In - Jn] = 0; } In += Jn; } for (int j = n - In; j >= 1; j--) { a[i][j] = 0; } } for (int i = 1; i <= n; i++) { for (int j = 1; j <= n; j++) { maxt[i][j] = a[i][j] + maxt[i - 1][j] + maxt[i][j - 1] - maxt[i - 1][j - 1]; } } for (int I = n; I >= 1; I--) { if (n % I == 0) { int flag = 1; for (int i = 1; i <= (n / I); i++) { for (int j = 1; j <= (n / I); j++) { int cnt = maxt[i * I][j * I] - maxt[(i - 1) * I][j * I] - maxt[i * I][(j - 1) * I] + maxt[(i - 1) * I][(j - 1) * I]; if (cnt != I * I * a[i * I][j * I]) { flag = 0; break; } } if (!flag) { break; } } if (flag) { printf("%d\n", I); break; } } } return 0; }
#include <bits/stdc++.h> #pragma GCC optimize("O3") using namespace std; void solve() { long long n; cin >> n; vector<long long> fac; long long i = 1; while (i * i <= n) { if (n % i == 0) { fac.push_back(i); if (i * i == n) { i++; continue; } fac.push_back(n / i); } i++; } long long a[n + 5][n + 5]; memset(a, 0, sizeof(a)); for (int i = 1; i < n + 1; i++) { string s; cin >> s; int n1 = s.size(); int id = n; for (int j = n1 - 1; j >= 0; j--) { long long val1 = s[j] - '0'; if (s[j] >= 'A') val1 = s[j] - 'A' + 10; int val2 = 4; while (val2--) { a[i][id--] = (val1 & 1); val1 /= 2; } } } set<long long> s; for (int i = 1; i <= n; i++) { for (int j = 1; j <= n; j++) { s.insert(a[i][j]); } } if (s.size() == 1) { cout << n << "\n"; } else { long long ans = 1; for (auto ele : fac) { if (ele == n) continue; map<pair<long long, long long>, long long> v; long long x = ele; int flag = 1; for (int i = 1; i <= n / x; i++) { for (int j = 1; j <= n / x; j++) { for (int k = 1; k <= x; k++) { for (int l = 1; l <= x; l++) { if (a[(i - 1) * x + k][(j - 1) * x + l] != a[i * x][j * x]) flag = 0; } } } } if (flag) ans = max(ans, ele); } cout << ans << "\n"; } } int main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); int tc = 1; while (tc--) solve(); return 0; }
#include <bits/stdc++.h> using namespace std; long long a[5202][5202]; string HexToBin(char x) { switch (x) { case '0': return "0000"; break; case '1': return "0001"; break; case '2': return "0010"; break; case '3': return "0011"; break; case '4': return "0100"; break; case '5': return "0101"; break; case '6': return "0110"; break; case '7': return "0111"; break; case '8': return "1000"; break; case '9': return "1001"; break; case 'A': case 'a': return "1010"; break; case 'B': case 'b': return "1011"; break; case 'C': case 'c': return "1100"; break; case 'D': case 'd': return "1101"; break; case 'E': case 'e': return "1110"; break; case 'F': case 'f': return "1111"; break; } } int32_t main() { ios_base::sync_with_stdio(false); cin.tie(NULL); long long n; cin >> n; string s; for (long long i = 1; i <= n; i++) { string s; cin >> s; long long t = 1; for (long long j = 0; j < s.size(); j++) { string s1 = HexToBin(s[j]); for (char k : s1) a[i][t++] = k - '0'; } } vector<long long> v; for (long long i = 1; i * i <= n; i++) { if (n % i == 0) v.push_back(i), v.push_back(n / i); } sort(v.begin(), v.end(), greater<long long>()); for (long long i = 1; i <= n; i++) { for (long long j = 1; j <= n; j++) a[i][j] += a[i][j - 1]; } for (long long i = 1; i <= n; i++) { for (long long j = 1; j <= n; j++) a[j][i] += a[j - 1][i]; } for (long long i : v) { bool flag = true; for (long long j = 1; j < n; j += i) { for (long long k = 1; k < n; k += i) { long long ans = a[j + i - 1][k + i - 1] - a[j + i - 1][k - 1] - a[j - 1][k + i - 1] + a[j - 1][k - 1]; if (ans != i * i && ans != 0) flag = false; } } if (flag) { cout << i << "\n"; return 0; } } }
#include <bits/stdc++.h> using namespace std; const int N = 5212; int n; int cnt[N][N]; bool a[N][N]; int main() { scanf("%d", &n); for (int i = 0; i < n; i++) { string s; cin >> s; for (int j = 0; j < n / 4; j++) { int val = 0; if (s[j] >= '0' && s[j] <= '9') val = s[j] - '0'; else val = s[j] - 'A' + 10; a[i][4 * j + 3] = (val & 1); val /= 2; a[i][4 * j + 2] = (val & 1); val /= 2; a[i][4 * j + 1] = (val & 1); val /= 2; a[i][4 * j + 0] = (val & 1); } } for (int i = 0; i < n; i++) { for (int j = 0; j < n; j++) { cnt[i][j] = a[i][j]; if (i) cnt[i][j] += cnt[i - 1][j]; if (j) cnt[i][j] += cnt[i][j - 1]; if (i && j) cnt[i][j] -= cnt[i - 1][j - 1]; } } int ans = 1; for (int i = 2; i <= n; i++) { if (n % i == 0) { bool C = 0; int x = i; for (int j = i - 1; j < n; j += i) { for (int l = i - 1; l < n; l += i) { int val = cnt[j][l]; if (j >= x) val -= cnt[j - x][l]; if (l >= x) val -= cnt[j][l - x]; if (l >= x && j >= x) val += cnt[j - x][l - x]; if (val == 0 || val == (i * i)) ; else C = 1; } } if (!C) ans = i; } } cout << ans; return 0; }
#include <bits/stdc++.h> using namespace std; const int NMAX = 5205; bitset<NMAX> bit[NMAX]; char s[NMAX]; int a[NMAX][NMAX], n; inline int Convert(char ch) { if ('0' <= ch && ch <= '9') return ch - '0'; return ch - 'A' + 10; } int main() { ios_base::sync_with_stdio(false); cin >> n; int j = 0; for (int i = 0; i < n; ++i) { cin >> (s + 1); for (int k = 1; k <= n / 4; ++k) { int val = Convert(s[k]); for (int p = 3; p >= 0; --p) { if ((val & (1 << p)) == 0) bit[i][j++] = 0; else bit[i][j++] = 1; } if (j == n) j = 0; } } for (int i = 0; i < n; ++i) for (int j = 0; j < n; ++j) { int x = 0, y = 0, z = 0; if (i - 1 >= 0) x = a[i - 1][j]; if (j - 1 >= 0) y = a[i][j - 1]; if (i - 1 >= 0 && j - 1 >= 0) z = a[i - 1][j - 1]; a[i][j] = x + y - z + bit[i][j]; } for (int p = n; p >= 1; --p) { if (n % p != 0) continue; bool good = true; for (int i = p - 1; i < n && good; i += p) for (int j = p - 1; j < n && good; j += p) { int x = 0, y = 0, z = 0; if (i - p >= 0) x = a[i - p][j]; if (j - p >= 0) y = a[i][j - p]; if (i - p >= 0 && j - p >= 0) z = a[i - p][j - p]; int sum = a[i][j] - x - y + z; if (sum != p * p && sum != 0) good = false; } if (good == true) { cout << p << "\n"; break; } } return 0; }
#include <bits/stdc++.h> using namespace std; long long a[5205][5205]; bool check(long long i, long long j, long long k) { k--; long long act = a[i + k][j + k] - a[i - 1][j + k] - a[i + k][j - 1] + a[i - 1][j - 1]; k++; if (act == k * k || act == 0) return 1; return 0; } bool verif(long long n, long long ans) { long long i, j; for (i = 1; i <= n - ans + 1; i += ans) for (j = 1; j <= n - ans + 1; j += ans) if (!check(i, j, ans)) return 0; return 1; } vector<long long> divv[5205]; int main() { ios_base::sync_with_stdio(false); char x; long long i, j, nr, ind2, n, k, ans; cin >> n; for (i = 2; i <= n; i++) { for (j = i; j <= n; j += i) divv[j].push_back(i); } for (i = 1; i <= n; i++) { for (j = 1; j <= n / 4; j++) { cin >> x; if (x >= '0' && x <= '9') nr = x - '0'; else nr = x - 'A' + 10; for (k = 1; k <= 4; k++) { ind2 = (j - 1) * 4 + k; a[i][ind2] = (nr & 8) / 8; a[i][ind2] += a[i - 1][ind2] + a[i][ind2 - 1] - a[i - 1][ind2 - 1]; nr = nr << 1; } } } for (long long ind = divv[n].size() - 1; ind >= 0; ind--) { ans = divv[n][ind]; if (verif(n, ans)) { cout << ans << '\n'; return 0; } } cout << 1 << '\n'; return 0; }
#include <bits/stdc++.h> using namespace std; bool grid[5205][5205]; int rect[5205][5205]; char cek; int main() { int n, i, j, k, x, y, r, c, ans, curr, temp, sum; scanf("%d", &n); getchar(); for (i = 1; i <= n; i++) { for (j = 0; j < n / 4; j++) { scanf("%c", &cek); if (cek >= '0' && cek <= '9') { curr = cek - '0'; } else { curr = cek - 'A' + 10; } for (k = 4; k >= 1; k--) { if (curr % 2 == 1) { grid[i][4 * j + k] = 1; } curr /= 2; } } getchar(); } memset(rect, 0, sizeof(rect)); rect[1][1] = grid[1][1]; for (i = 2; i <= n; i++) { rect[1][i] = rect[1][i - 1] + grid[1][i]; rect[i][1] = rect[i - 1][1] + grid[i][1]; } for (i = 2; i <= n; i++) { for (j = 2; j <= n; j++) { rect[i][j] = rect[i - 1][j] + rect[i][j - 1] - rect[i - 1][j - 1] + grid[i][j]; } } for (i = n; i >= 1; i--) { if (n % i == 0) { int can = 1; for (j = 0; j < n; j += i) { for (k = 0; k < n; k += i) { sum = rect[j + i][k + i] - rect[j][k + i] - rect[j + i][k] + rect[j][k]; if (sum == 0 || sum == i * i) continue; can = 0; break; } } if (can == 1) { ans = i; break; } } } printf("%d\n", ans); return 0; }
#include <bits/stdc++.h> using namespace std; struct fast_ios { fast_ios() { cin.tie(nullptr), ios::sync_with_stdio(false), cout << fixed << setprecision(20); }; } fast_ios_; template <class T> auto add = [](T a, T b) -> T { return a + b; }; template <class T> auto f_max = [](T a, T b) -> T { return max(a, b); }; template <class T> auto f_min = [](T a, T b) -> T { return min(a, b); }; template <class T> using V = vector<T>; using Vl = V<int>; using VVl = V<Vl>; template <typename T> ostream& operator<<(ostream& os, const vector<T>& v) { for (int i = 0; i < (int)v.size(); i++) os << v[i] << (i + 1 != v.size() ? " " : ""); return os; } template <typename T> istream& operator>>(istream& is, vector<T>& v) { for (T& in : v) is >> in; return is; } template <class T> bool chmax(T& a, const T& b) { if (a < b) { a = b; return 1; } return 0; } template <class T> bool chmin(T& a, const T& b) { if (b < a) { a = b; return 1; } return 0; } int gcd(int a, int b) { if (b == 0) return a; else return gcd(b, a % b); } int ceil(int a, int b) { return (a + b - 1) / b; } int digit(int a) { return (int)log10(a); } int e_dist(pair<int, int> a, pair<int, int> b) { return abs(a.first - b.first) * abs(a.first - b.first) + abs(a.second - b.second) * abs(a.second - b.second); } int m_dist(pair<int, int> a, pair<int, int> b) { return abs(a.first - b.first) + abs(a.second - b.second); } void Worshall_Floyd(VVl& g) { for (int k = (0), k_end_ = (((int)(g).size())); k < k_end_; ++k) for (int i = (0), i_end_ = (((int)(g).size())); i < i_end_; ++i) for (int j = (0), j_end_ = (((int)(g).size())); j < j_end_; ++j) chmin(g[i][j], g[i][k] + g[k][j]); } const int MOD1000000007 = 1000000007, MOD998244353 = 998244353, INF = 1e5; int dx[8] = {1, 0, -1, 0, 1, -1, 1, -1}, dy[8] = {0, 1, 0, -1, -1, -1, 1, 1}; bool YN(bool flag) { cout << (flag ? "YES" : "NO") << '\n'; return flag; } bool yn(bool flag) { cout << (flag ? "Yes" : "No") << '\n'; return flag; } struct Edge { int from, to; int cost; Edge(int u, int v, int c) { cost = c; from = u; to = v; } bool operator<(const Edge& e) const { return cost < e.cost; } }; struct WeightedEdge { int to; int cost; WeightedEdge(int v, int c = 1) { to = v; cost = c; } bool operator<(const WeightedEdge& e) const { return cost < e.cost; } }; using WeightedGraph = V<V<WeightedEdge>>; int hextolint(char c) { if ('0' <= c && c <= '9') return c - '0'; else return (c - 'A') + 10; } char linttohex(int v) { if (v < 10) return '0' + v; else return 'A' + (v - 10); } struct UnionFind { public: UnionFind() : _n(0) {} UnionFind(int n) : _n(n), parent_or_size(n, -1) {} int merge(int a, int b) { assert(0 <= a && a < _n); assert(0 <= b && b < _n); int x = leader(a), y = leader(b); if (x == y) return x; if (-parent_or_size[x] < -parent_or_size[y]) std::swap(x, y); if (used_count) { if (count_in_set[x].size() < count_in_set[y].size()) { std::swap(count_in_set[x], count_in_set[y]); } for (auto p : count_in_set[y]) { count_in_set[x][p.first] += p.second; } } if (set_operate) { root_values[x] = f(root_values[y], root_values[x]); } parent_or_size[x] += parent_or_size[y]; parent_or_size[y] = x; return x; } bool same(int a, int b) { assert(0 <= a && a < _n); assert(0 <= b && b < _n); return leader(a) == leader(b); } int leader(int a) { assert(0 <= a && a < _n); if (parent_or_size[a] < 0) return a; return parent_or_size[a] = leader(parent_or_size[a]); } int size(int a) { assert(0 <= a && a < _n); return -parent_or_size[leader(a)]; } std::vector<std::vector<int>> groups() { std::vector<int> leader_buf(_n), group_size(_n); for (int i = 0; i < _n; i++) { leader_buf[i] = leader(i); group_size[leader_buf[i]]++; } std::vector<std::vector<int>> result(_n); for (int i = 0; i < _n; i++) { result[i].reserve(group_size[i]); } for (int i = 0; i < _n; i++) { result[leader_buf[i]].push_back(i); } result.erase( std::remove_if(result.begin(), result.end(), [&](const std::vector<int>& v) { return v.empty(); }), result.end()); return result; } void set_operate_and_value(std::vector<int> array, function<int(int, int)> _f) { f = _f; root_values = array; set_operate = true; } int get_set_value(int a) { return root_values[leader(a)]; } void regist_count(int a, int label) { if (!used_count) { used_count = true; count_in_set.assign(_n, std::map<int, int>()); } count_in_set[leader(a)][label]++; } int get_count(int a, int label) { if (!used_count) return -1; return count_in_set[leader(a)][label]; } private: int _n; std::vector<int> parent_or_size; std::vector<std::map<int, int>> count_in_set; bool used_count = false; std::vector<int> root_values; function<int(int, int)> f; bool set_operate = false; }; int N; int main() { cin >> N; V<string> arr(N); cin >> arr; V<string> _arr; for (int j = (0), j_end_ = (N); j < j_end_; ++j) { string _s = ""; for (int i = (0), i_end_ = (N / 4); i < i_end_; ++i) { int sum = 0; for (int k = (0), k_end_ = (4); k < k_end_; ++k) { int v = hextolint(arr[i * 4 + k][j / 4]); if (v & (8 >> (j % 4))) { sum += 8 >> k; } } _s += linttohex(sum); } _arr.push_back(_s); } { UnionFind tree(N), _tree(N); for (int i = (0), i_end_ = (N); i < i_end_; ++i) { for (int j = (i + 1), j_end_ = (N); j < j_end_; ++j) { if (tree.same(i, j)) continue; if (arr[i] == arr[j]) tree.merge(i, j); } } for (int i = (0), i_end_ = (N); i < i_end_; ++i) { for (int j = (i + 1), j_end_ = (N); j < j_end_; ++j) { if (_tree.same(i, j)) continue; if (_arr[i] == _arr[j]) _tree.merge(i, j); } } int ans = 1; for (int x = (1), x_end_ = (N + 1); x < x_end_; ++x) { if (N % x != 0) continue; bool flag = true; for (int i = (0), i_end_ = (N / x); i < i_end_; ++i) { for (int k = (0), k_end_ = (x); k < k_end_; ++k) { if (!tree.same(i * x, i * x + k)) flag = false; } } for (int i = (0), i_end_ = (N / x); i < i_end_; ++i) { for (int k = (0), k_end_ = (x); k < k_end_; ++k) { if (!_tree.same(i * x, i * x + k)) flag = false; } } if (flag) chmax(ans, x); } cout << ans << '\n'; } }
#include <bits/stdc++.h> using namespace std; int n; bitset<6000> c[6000], r[6000], t; set<int> se; int solve(int h) { int w = n / h; for (int i = 0; i < w; i++) { for (int j = 1; j < h; j++) { if (r[i * h] != r[i * h + j]) { return 0; } } } for (int i = 0; i < w; i++) { for (int j = 1; j < h; j++) { if (c[i * h] != c[i * h + j]) { return 0; } } } return h; } inline int toint(char cc) { if (cc >= '0' && cc <= '9') return cc - '0'; else return cc - 'A' + 10; } int main() { cin >> n; se.clear(); for (int i = 1; i <= sqrt(n); i++) { if (!(n % i)) { se.insert(i); se.insert(n / i); } } for (int i = 0; i < n; i++) { string t; cin >> t; for (int j = 0; j < t.size(); j++) { int tt = toint(t[j]); if (tt & 1) { r[i].set(j * 4); c[j * 4 + 3].set(i); } if (tt & 2) { r[i].set(j * 4 + 1); c[j * 4 + 2].set(i); } if (tt & 4) { r[i].set(j * 4 + 2); c[j * 4 + 1].set(i); } if (tt & 8) { r[i].set(j * 4 + 3); c[j * 4].set(i); } } } int yes = 0; for (set<int>::reverse_iterator i = se.rbegin(); i != se.rend(); i++) { yes = solve(*i); if (yes) break; } if (yes == 0) cout << 1 << endl; else cout << yes << endl; }
#include <bits/stdc++.h> using namespace std; string arr[5205]; string st[5205]; vector<int> result; void hexToBinary(string str, int i) { for (int j = 0; j < str.length(); j++) { switch (str[j]) { case '0': arr[i].insert(arr[i].length(), "0000"); break; case '1': arr[i].insert(arr[i].length(), "0001"); break; case '2': arr[i].insert(arr[i].length(), "0010"); break; case '3': arr[i].insert(arr[i].length(), "0011"); break; case '4': arr[i].insert(arr[i].length(), "0100"); break; case '5': arr[i].insert(arr[i].length(), "0101"); break; case '6': arr[i].insert(arr[i].length(), "0110"); break; case '7': arr[i].insert(arr[i].length(), "0111"); break; case '8': arr[i].insert(arr[i].length(), "1000"); break; case '9': arr[i].insert(arr[i].length(), "1001"); break; case 'A': arr[i].insert(arr[i].length(), "1010"); break; case 'B': arr[i].insert(arr[i].length(), "1011"); break; case 'C': arr[i].insert(arr[i].length(), "1100"); break; case 'D': arr[i].insert(arr[i].length(), "1101"); break; case 'E': arr[i].insert(arr[i].length(), "1110"); break; case 'F': arr[i].insert(arr[i].length(), "1111"); break; } } } void solve() { long long n; cin >> n; for (int i = 0; i < n; i++) { arr[i] = ""; } for (int i = 0; i < n; i++) { cin >> st[i]; hexToBinary(st[i], i); } int i = 1; while (i * i <= n) { if (n % i == 0) { result.push_back(i); if (n / i != i) result.push_back(n / i); } i++; } sort(result.begin(), result.end()); int sz = result.size() - 1; int ans; for (int i = sz; i >= 0; i--) { int fact = result[i]; int flag = 0; for (long long i = 0; i < n; i += fact) { for (long long j = i + 1; j < i + fact; j++) { if (st[j] != st[j - 1]) { flag = 1; break; } } if (flag == 1) break; } for (int i = 0; i < n; i += fact) { for (int j = 0; j < n; j += fact) { string one = arr[i].substr(j, fact); for (int k = 1; k < one.length(); k++) { if (one[k] != one[k - 1]) { flag = 1; break; } } if (flag == 1) break; } if (flag == 1) { break; } } if (flag == 0) { ans = fact; break; } } cout << ans << endl; } int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); int t = 1; while (t--) { solve(); } return 0; }
#include <bits/stdc++.h> using namespace std; const int N = (5200 + 1); int n, arr[N][N]; int conv[4]; string s; void con(char ch) { conv[0] = 0; conv[1] = 0; conv[2] = 0; conv[3] = 0; if (ch == '1') { conv[3] = 1; } else if (ch == '2') { conv[0] = 0; conv[1] = 0; conv[2] = 1; conv[3] = 0; } else if (ch == '3') { conv[0] = 0; conv[1] = 0; conv[2] = 1; conv[3] = 1; } else if (ch == '4') { conv[0] = 0; conv[1] = 1; conv[2] = 0; conv[3] = 0; } else if (ch == '5') { conv[0] = 0; conv[1] = 1; conv[2] = 0; conv[3] = 1; } else if (ch == '6') { conv[0] = 0; conv[1] = 1; conv[2] = 1; conv[3] = 0; } else if (ch == '7') { conv[0] = 0; conv[1] = 1; conv[2] = 1; conv[3] = 1; } else if (ch == '8') { conv[0] = 1; conv[1] = 0; conv[2] = 0; conv[3] = 0; } else if (ch == '9') { conv[0] = 1; conv[1] = 0; conv[2] = 0; conv[3] = 1; } else if (ch == 'A') { conv[0] = 1; conv[1] = 0; conv[2] = 1; conv[3] = 0; } else if (ch == 'B') { conv[0] = 1; conv[1] = 0; conv[2] = 1; conv[3] = 1; } else if (ch == 'C') { conv[0] = 1; conv[1] = 1; conv[2] = 0; conv[3] = 0; } else if (ch == 'D') { conv[0] = 1; conv[1] = 1; conv[2] = 0; conv[3] = 1; } else if (ch == 'E') { conv[0] = 1; conv[1] = 1; conv[2] = 1; conv[3] = 0; } else if (ch == 'F') { conv[0] = 1; conv[1] = 1; conv[2] = 1; conv[3] = 1; } } bool check(int x) { for (int i = 1; i <= n; i += x) { for (int j = 1; j <= n; j += x) { for (int p = i; p < i + x; p++) { for (int q = j; q < j + x; q++) { if (arr[i][j] != arr[p][q]) return 0; } } } } return 1; } int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); cin >> n; for (int i = 1; i <= n; i++) { cin >> s; int l = n / 4; for (int j = 1; j <= l; j++) { con(s[j - 1]); arr[i][4 * (j - 1) + 1] = conv[0]; arr[i][4 * (j - 1) + 2] = conv[1]; arr[i][4 * (j - 1) + 3] = conv[2]; arr[i][4 * (j - 1) + 4] = conv[3]; } } int l = 1, h = n; vector<int> v; for (int i = n; i >= 1; i--) { if (n % i == 0 && check(i)) { cout << i << endl; break; } } }
#include <bits/stdc++.h> using namespace std; map<char, string> we; int n, x; int a[5202][5202]; int pass(int bx) { int div = n / bx, cc, dd; int d = div * div, b = bx * bx, f = 0; for (int i = bx - 1; i < n; i += bx) { for (int j = bx - 1; j < n; j += bx) { cc = i - bx; dd = j - bx; int long long t = a[i][j]; if (cc >= 0) t -= a[cc][j]; if (dd >= 0) t -= a[i][dd]; if (cc >= 0 && dd >= 0) t += a[cc][dd]; if (t == 0 || t == b) f++; } } if (f == d) return 0; else return 1; } int main() { we['0'] = "0000"; we['1'] = "0001"; we['2'] = "0010"; we['3'] = "0011"; we['4'] = "0100"; we['5'] = "0101"; we['6'] = "0110"; we['7'] = "0111"; we['8'] = "1000"; we['9'] = "1001"; we['A'] = "1010"; we['B'] = "1011"; we['C'] = "1100"; we['D'] = "1101"; we['E'] = "1110"; we['F'] = "1111"; scanf("%d", &n); vector<int> v; for (int i = 1; i * i <= n; i++) { if (n % i == 0) { v.push_back(i); v.push_back(n / i); } } sort(v.begin(), v.end()); x = n / 4; char cd, c; for (int i = 0; i < n; i++) { scanf("%c", &cd); for (int j = 0; j < n; j += 4) { scanf("%c", &c); string s = we[c]; a[i][j] = 1; a[i][j + 1] = 1; a[i][j + 2] = 1; a[i][j + 3] = 1; if (s[0] == '0') a[i][j] = 0; if (s[1] == '0') a[i][j + 1] = 0; if (s[2] == '0') a[i][j + 2] = 0; if (s[3] == '0') a[i][j + 3] = 0; } } for (int i = 1; i < n; i++) { for (int j = 0; j < n; j++) { a[i][j] += a[i - 1][j]; } } for (int i = 1; i < n; i++) { for (int j = 0; j < n; j++) { a[j][i] += a[j][i - 1]; } } int cnt = v.size() - 1; while (cnt != 0 && pass(v[cnt]) == 1) { cnt--; } printf("%d", v[cnt]); return 0; }
#include <bits/stdc++.h> using namespace std; int n; char s[6010]; int sum[5210][5210], c[5210][5210]; int b[10]; bool check(int x) { for (int i = 1; i <= n; i += x) for (int j = 1; j <= n; j += x) { int num = sum[i + x - 1][j + x - 1] - sum[i + x - 1][j - 1] - sum[i - 1][j + x - 1] + sum[i - 1][j - 1]; if (num != x * x && num != 0) return (0); } return (1); } int main() { scanf("%d", &n); for (int ii = 0; ii <= n - 1; ii++) { scanf("%s", s); int len = n / 4; int k = 0; for (int i = 0; i <= len - 1; i++) { int o; if (s[i] >= 'A' && s[i] <= 'F') o = s[i] - 'A' + 10; else o = s[i] - '0'; int num = 0; memset(b, 0, sizeof(b)); while (o != 0) { num++; b[num] = o % 2; o /= 2; } for (int i = 4; i >= 1; i--) c[ii + 1][++k] = b[i]; } } for (int i = 1; i <= n; i++) for (int j = 1; j <= n; j++) { sum[i][j] = sum[i - 1][j] + sum[i][j - 1] - sum[i - 1][j - 1] + c[i][j]; } int o = 0; int ans = 0; for (int i = 1; i <= n; i++) if (n % i == 0) { if (check(i)) { ans = max(ans, i); } } printf("%d\n", ans); return (0); }
#include <bits/stdc++.h> using namespace std; const int MAXN = 5200 + 15; const int INF = 0x3f3f3f3f; inline void rdInt(int &x) { scanf("%d", &x); } inline void ptInt(int x) { printf("%d", x); } inline void ptInts(int x, char c) { printf("%d%c", x, c); } inline void rdStr(char *x) { scanf("%s", x); } inline void ptStr(char *x) { printf("%s\n", x); } inline void rdLL(long long &x) { scanf("%lld", &x); } inline void ptLL(long long x) { printf("%lld", x); } inline bool strEq(char *x, char *y) { return strcmp(x, y) == 0; } int gcd(int a, int b) { return b ? gcd(b, a % b) : a; } bool a[MAXN][MAXN]; int stk[MAXN]; char s[MAXN][MAXN >> 1]; int n, m; void seta(bool *Ary, bool _1, bool _2, bool _3, bool _4) { Ary[0] = _1; Ary[1] = _2; Ary[2] = _3; Ary[3] = _4; } void conv(bool *Ary, char c) { switch (c) { case '0': seta(Ary, 0, 0, 0, 0); break; case '1': seta(Ary, 0, 0, 0, 1); break; case '2': seta(Ary, 0, 0, 1, 0); break; case '3': seta(Ary, 0, 0, 1, 1); break; case '4': seta(Ary, 0, 1, 0, 0); break; case '5': seta(Ary, 0, 1, 0, 1); break; case '6': seta(Ary, 0, 1, 1, 0); break; case '7': seta(Ary, 0, 1, 1, 1); break; case '8': seta(Ary, 1, 0, 0, 0); break; case '9': seta(Ary, 1, 0, 0, 1); break; case 'A': seta(Ary, 1, 0, 1, 0); break; case 'B': seta(Ary, 1, 0, 1, 1); break; case 'C': seta(Ary, 1, 1, 0, 0); break; case 'D': seta(Ary, 1, 1, 0, 1); break; case 'E': seta(Ary, 1, 1, 1, 0); break; case 'F': seta(Ary, 1, 1, 1, 1); break; default: ptStr("Oops."); } } void calstk(int &res) { int tmp = stk[1]; for (int i = (1); i <= (*stk); i++) tmp = gcd(tmp, stk[i]); res = res ? gcd(res, tmp) : tmp; } int main() { rdInt(n); m = n >> 2; for (int i = (0); i < (n); i++) rdStr(s[i]); if (n == 1) { return puts("1"); } else if (n == 2) { if (s[0][0] == '3' && s[1][0] == '3') return puts("2"); if (s[0][0] == '0' && s[1][0] == '0') return puts("2"); return puts("1"); } else if (n == 3) { if (s[0][0] == '8' && s[1][0] == '8' && s[2][0] == '8') return puts("3"); if (s[0][0] == '0' && s[1][0] == '0' && s[2][0] == '0') return puts("3"); return puts("1"); } for (int i = (0); i < (n); i++) for (int j = (0); j < (m); j++) { conv(a[i] + j * 4, s[i][j]); } int ans = 0; for (int i = (0); i < (n); i++) { int num = 0; stk[0] = 0; bool cur = a[i][0]; for (int j = (0); j <= (n); j++) { if (cur == a[i][j] && j < n) { num++; } else { cur ^= 1; stk[++*stk] = num; num = 1; } } calstk(ans); } if (ans == 1) { ptInt(1); return 0; } for (int i = (0); i < (n); i++) { int num = 0; stk[0] = 0; bool cur = a[0][i]; for (int j = (0); j <= (n); j++) { if (cur == a[j][i] && j < n) { num++; } else { cur ^= 1; stk[++*stk] = num; num = 1; } } calstk(ans); } ptInt(ans); return 0; }
#include <bits/stdc++.h> #pragma G++ optimize(2) using namespace std; const int N = 5205; int n, sum[N][N], c[N], cnt; bool a[N][N]; void rd(int i, int st) { char in = 0; int x; while (!(('0' <= in && in <= '9') || ('A' <= in && in <= 'F'))) scanf("%c", &in); if ('0' <= in && in <= '9') x = in - '0'; if ('A' <= in && in <= 'F') x = in - 'A' + 10; for (int j = st + 3; j >= st; j--) { a[i][j] = x & 1; x >>= 1; } } bool check(int x) { int z = x * x; for (int i = x; i <= n; i += x) for (int j = x; j <= n; j += x) { int s = sum[i][j] + sum[i - x][j - x] - sum[i][j - x] - sum[i - x][j]; if (s != 0 && s != z) return 0; } return 1; } int FJ() { for (int i = n; i >= 2; i--) if (n % i == 0) if (check(i)) return i; return 1; } int main() { scanf("%d", &n); for (int i = 1; i <= n; i++) for (int j = 1; j <= n; j += 4) rd(i, j); for (int i = 1; i <= n; i++) for (int j = 1; j <= n; j++) sum[i][j] = a[i][j] + sum[i][j - 1] + sum[i - 1][j] - sum[i - 1][j - 1]; printf("%d", FJ()); return 0; }
#include <bits/stdc++.h> using namespace std; long long mod = 1000000007; long long power(long long a, long long b, long long modi) { long long res = 1; while (b) { if (b % 2) { res = (res * a) % modi; } b /= 2; a = (a * a) % modi; } return res; } int dirx[] = {-1, -1, -1, 0, 0, 1, 1, 1}; int diry[] = {-1, 0, 1, -1, 1, -1, 0, 1}; int dx[] = {-1, 1, 0, 0}; int dy[] = {0, 0, -1, 1}; long long n, m; long long curres, ans = 0; long long a[5500], b[5500], c[5500]; vector<long long> vt; int mat[5500][5500], sum[5500][5500]; string fun(int num) { string ans; while (num > 0) { ans += '0' + (num % 2); num /= 2; } while (ans.length() < 4) ans += "0"; reverse(ans.begin(), ans.end()); return ans; } int main() { ios::sync_with_stdio(false); cin.tie(0); cout.tie(0); cin >> n; int flag = 0; char ch; string s; for (int i = 1; i <= n; i++) { for (int j = 1; j <= n / 4; j++) { cin >> ch; int num; if (isalpha(ch)) num = 10 + (ch - 'A'); else num = ch - '0'; s = fun(num); for (int k = 0; k < 4; k++) mat[i][(j - 1) * 4 + k + 1] = (s[k] - '0'); } } for (int i = 1; i <= n; i++) for (int j = 1; j <= n; j++) sum[i][j] = sum[i - 1][j] + sum[i][j - 1] - sum[i - 1][j - 1] + (mat[i][j]); long long ans = 1; vt.push_back(n); for (int i = 2; i * i <= n; i++) { if (n % i == 0) { vt.push_back(i); if (i == n / i) continue; vt.push_back(n / i); } } for (auto x : vt) { bool flag = true; int i = x; while (i <= n) { int j = x; while (j <= n) { long long cur = sum[i][j] - sum[i - x][j] - sum[i][j - x] + sum[i - x][j - x]; if (cur == 0 || cur == x * x) { } else flag = false; j += x; } i += x; } if (flag) ans = max(ans, x); } cout << ans; return 0; }
#include <bits/stdc++.h> const int maxn = 5205; using namespace std; int n, a[maxn][maxn], m; int cnt, sum[maxn][maxn], x[maxn]; bool check(int x) { int now; for (int i = x; i <= n; i += x) { for (int j = x; j <= n; j += x) { now = sum[i][j] - sum[i - x][j] - sum[i][j - x] + sum[i - x][j - x]; if (now == 0 || now == x * x) continue; else return 0; } } return 1; } int main() { scanf("%d", &n); for (int i = 1; i <= n; i++) { for (int j = 1; j <= n / 4; j++) { scanf("%1x", &m); cnt = 0; while (m) { a[i][j * 4 - cnt++] = (m % 2); m >>= 1; } } } for (int i = 1; i <= n; i++) { for (int j = 1; j <= n; j++) { sum[i][j] = sum[i - 1][j] + sum[i][j - 1] - sum[i - 1][j - 1] + a[i][j]; } } cnt = 0; for (int i = 1; i <= n; i++) { if (n % i == 0) { x[++cnt] = i; } } for (int k = cnt; k >= 1; k--) { if (check(x[k])) { printf("%d\n", x[k]); break; } } }
#include <bits/stdc++.h> using namespace std; char s[5400][5400]; char pp[5400]; map<char, string> ma; int gcd(int a, int b) { int r; while (b > 0) { r = a % b; a = b; b = r; } return a; } int main() { ma['0'] = "0000"; ma['1'] = "0001"; ma['2'] = "0010"; ma['3'] = "0011"; ma['4'] = "0100"; ma['5'] = "0101"; ma['6'] = "0110"; ma['7'] = "0111"; ma['8'] = "1000"; ma['9'] = "1001"; ma['A'] = "1010"; ma['B'] = "1011"; ma['C'] = "1100"; ma['D'] = "1101"; ma['E'] = "1110"; ma['F'] = "1111"; int t; cin >> t; int len; for (int i = 1; i <= t; i++) { getchar(); scanf("%s", pp); len = strlen(pp); for (int j = 0; j < len; j++) { for (int k = j * 4 + 1; k <= j * 4 + 4; k++) { s[i][k] = ma[pp[j]][k - 4 * j - 1]; } } } int n = t; int m = 4 * len; queue<int> q; int p = 0; for (int i = 1; i <= n; i++) { p = 0; for (int j = 1; j <= m; j++) { if (s[i][j] != s[i][j + 1] || j == m) { if (j - p == 1) { cout << 1 << endl; return 0; } q.push(j - p); p = j; } } } for (int i = 1; i <= m; i++) { p = 0; for (int j = 1; j <= n; j++) { if (s[j][i] != s[j + 1][i] || j == n) { if (j - p == 1) { cout << 1 << endl; return 0; } q.push(j - p); p = j; } } } int g = q.front(); q.pop(); while (!q.empty()) { g = gcd(g, q.front()); q.pop(); } cout << g << endl; return 0; }
#include <bits/stdc++.h> using namespace std; char s[5250]; int b[5250][5250]; int main() { int n, i, j, k; cin >> n; for (i = 1; i <= n; i++) { cin >> s; for (int j = 0; j < n; j++) { int val; if (s[j] >= '0' && s[j] <= '9') val = s[j] - '0'; else val = s[j] - 'A' + 10; b[i][j * 4 + 1] = val / 8 % 2; b[i][j * 4 + 2] = val / 4 % 2; b[i][j * 4 + 3] = val / 2 % 2; b[i][j * 4 + 4] = val % 2; } } for (int i = 1; i <= n; i++) { for (int j = 1; j <= n; j++) { b[i][j] = b[i][j] + b[i - 1][j] + b[i][j - 1] - b[i - 1][j - 1]; } } for (i = n; i >= 1; i--) { if (n % i != 0) continue; int flag = 1; for (j = i; j <= n; j += i) { for (k = i; k <= n; k += i) { int sum = b[j][k] - b[j - i][k] - b[j][k - i] + b[j - i][k - i]; if (sum != 0 && sum != i * i) { flag = 0; break; } } } if (flag == 1) { cout << i << endl; return 0; } } }
#include <bits/stdc++.h> using namespace std; map<char, string> m; void populate() { m['0'] = "0000"; m['1'] = "0001"; m['2'] = "0010"; m['3'] = "0011"; m['4'] = "0100"; m['5'] = "0101"; m['6'] = "0110"; m['7'] = "0111"; m['8'] = "1000"; m['9'] = "1001"; m['A'] = "1010"; m['B'] = "1011"; m['C'] = "1100"; m['D'] = "1101"; m['E'] = "1110"; m['F'] = "1111"; } int main() { populate(); ios_base::sync_with_stdio(false); cin.tie(NULL); int n; cin >> n; int d[n][n]; string s; for (int i = 0; i < n; i++) { cin >> s; int l = 0; for (int j = 0; j < s.length(); j++) { string p = m[s[j]]; for (int k = 0; k < 4; k++) { d[i][l++] = p[k] - '0'; } } } int dp[n][n]; for (int i = 0; i < n; i++) { for (int j = 0; j < n; j++) { if (i == 0 || j == 0) dp[i][j] = 1; else { if (d[i][j] == d[i - 1][j - 1] && d[i][j] == d[i - 1][j] && d[i][j] == d[i][j - 1]) { dp[i][j] = min(min(dp[i - 1][j], dp[i][j - 1]), dp[i - 1][j - 1]) + 1; } else { dp[i][j] = 1; } } } } int ans = 1; for (int i = n; i > 1; i--) { if (n % i == 0) { bool poss = true; for (int j = i - 1; j < n; j += i) { for (int k = i - 1; k < n; k += i) { if (dp[j][k] < i) { poss = false; break; } } if (!poss) break; } if (poss) { ans = i; break; } } } cout << ans << "\n"; return 0; }
#include <bits/stdc++.h> using namespace std; int n, mp[5250][5250], cnt, ans = 2e9, f[5250][5250], fac[5250]; char s[5250]; void pt_mp() { for (int i = 1; i <= n; i++) { for (int j = 1; j <= n; j++) printf("%d", mp[i][j]); puts(""); } } int S(int x, int y, int xx, int yy) { return f[xx][yy] + f[x - 1][y - 1] - f[x - 1][yy] - f[xx][y - 1]; } bool check(int x) { for (int i = 1; i <= n; i += x) { for (int j = 1; j <= n; j += x) { int tmp = S(i, j, i + x - 1, j + x - 1); if (!(!tmp || tmp == x * x)) return 0; } } return 1; } int main() { scanf("%d", &n); for (int i = 1; i <= n; i++) if (n % i == 0) fac[++cnt] = i; for (int i = 1; i <= n; i++) { scanf("%s", s); int cnt = 0; for (int j = 0, x; j < strlen(s); j++) { if (s[j] >= '0' && s[j] <= '9') x = s[j] - '0'; else x = s[j] - 'A' + 10; for (int k = 3; k >= 0; k--) { cnt++; if ((1 << k) & x) mp[i][cnt] = 1; } } } for (int i = 1; i <= n; i++) for (int j = 1; j <= n; j++) f[i][j] = f[i][j - 1] + f[i - 1][j] - f[i - 1][j - 1] + mp[i][j]; for (int i = cnt; i; i--) { if (check(fac[i])) { printf("%d", fac[i]); return 0; } } }