#line 2 "/Users/noya2/Desktop/Noya2_library/template/template.hpp" using namespace std; #include #line 1 "/Users/noya2/Desktop/Noya2_library/template/inout_old.hpp" namespace noya2 { template ostream &operator<<(ostream &os, const pair &p){ os << p.first << " " << p.second; return os; } template istream &operator>>(istream &is, pair &p){ is >> p.first >> p.second; return is; } template ostream &operator<<(ostream &os, const vector &v){ int s = (int)v.size(); for (int i = 0; i < s; i++) os << (i ? " " : "") << v[i]; return os; } template istream &operator>>(istream &is, vector &v){ for (auto &x : v) is >> x; return is; } void in() {} template void in(T &t, U &...u){ cin >> t; in(u...); } void out() { cout << "\n"; } template void out(const T &t, const U &...u){ cout << t; if (sizeof...(u)) cout << sep; out(u...); } template void out(const vector> &vv){ int s = (int)vv.size(); for (int i = 0; i < s; i++) out(vv[i]); } struct IoSetup { IoSetup(){ cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(15); cerr << fixed << setprecision(7); } } iosetup_noya2; } // namespace noya2 #line 1 "/Users/noya2/Desktop/Noya2_library/template/const.hpp" namespace noya2{ const int iinf = 1'000'000'007; const long long linf = 2'000'000'000'000'000'000LL; const long long mod998 = 998244353; const long long mod107 = 1000000007; const long double pi = 3.14159265358979323; const vector dx = {0,1,0,-1,1,1,-1,-1}; const vector dy = {1,0,-1,0,1,-1,-1,1}; const string ALP = "ABCDEFGHIJKLMNOPQRSTUVWXYZ"; const string alp = "abcdefghijklmnopqrstuvwxyz"; const string NUM = "0123456789"; void yes(){ cout << "Yes\n"; } void no(){ cout << "No\n"; } void YES(){ cout << "YES\n"; } void NO(){ cout << "NO\n"; } void yn(bool t){ t ? yes() : no(); } void YN(bool t){ t ? YES() : NO(); } } // namespace noya2 #line 2 "/Users/noya2/Desktop/Noya2_library/template/utils.hpp" #line 6 "/Users/noya2/Desktop/Noya2_library/template/utils.hpp" namespace noya2{ unsigned long long inner_binary_gcd(unsigned long long a, unsigned long long b){ if (a == 0 || b == 0) return a + b; int n = __builtin_ctzll(a); a >>= n; int m = __builtin_ctzll(b); b >>= m; while (a != b) { int mm = __builtin_ctzll(a - b); bool f = a > b; unsigned long long c = f ? a : b; b = f ? b : a; a = (c - b) >> mm; } return a << std::min(n, m); } template T gcd_fast(T a, T b){ return static_cast(inner_binary_gcd(std::abs(a),std::abs(b))); } long long sqrt_fast(long long n) { if (n <= 0) return 0; long long x = sqrt(n); while ((x + 1) * (x + 1) <= n) x++; while (x * x > n) x--; return x; } template T floor_div(const T n, const T d) { assert(d != 0); return n / d - static_cast((n ^ d) < 0 && n % d != 0); } template T ceil_div(const T n, const T d) { assert(d != 0); return n / d + static_cast((n ^ d) >= 0 && n % d != 0); } template void uniq(std::vector &v){ std::sort(v.begin(),v.end()); v.erase(unique(v.begin(),v.end()),v.end()); } template inline bool chmin(T &x, U y) { return (y < x) ? (x = y, true) : false; } template inline bool chmax(T &x, U y) { return (x < y) ? (x = y, true) : false; } template inline bool range(T l, T x, T r){ return l <= x && x < r; } } // namespace noya2 #line 8 "/Users/noya2/Desktop/Noya2_library/template/template.hpp" #define rep(i,n) for (int i = 0; i < (int)(n); i++) #define repp(i,m,n) for (int i = (m); i < (int)(n); i++) #define reb(i,n) for (int i = (int)(n-1); i >= 0; i--) #define all(v) (v).begin(),(v).end() using ll = long long; using ld = long double; using uint = unsigned int; using ull = unsigned long long; using pii = pair; using pll = pair; using pil = pair; using pli = pair; namespace noya2{ /* ~ (. _________ . /) */ } using namespace noya2; #line 2 "c.cpp" void jikken1(){ int n; in(n); set st; rep(b,n) rep(a,b){ if (b % gcd(a,n) == 0 || a % gcd(b,n) == 0){ continue; } out(a,b); st.emplace(gcd(n,a),gcd(n,b)); assert(gcd(n,b) != 1); assert(gcd(n,a) != 1); } out("gcd"); for (auto [a, b] : st){ if (a > b) continue; out(a,b); } } void jikken2(){ int n; in(n); rep(b,n) rep(a,b){ if (gcd(n,b) == 1) continue; if (gcd(n,a) == 1) continue; if (gcd(a,b) == 1){ out(a,b); } } } void jikken3(){ int n; in(n); set st1, st2; rep(b,n) rep(a,b){ if (b % gcd(a,n) == 0 || a % gcd(b,n) == 0){ continue; } int ga = gcd(n,a); int gb = gcd(n,b); if (ga < gb){ st1.emplace(ga,gb); } } repp(a,1,n+1) repp(b,1,n+1){ if (n % a != 0) continue; if (n % b != 0) continue; if (a % b == 0) continue; if (b % a == 0) continue; if (a < b){ st2.emplace(a, b); } } yn(st1 == st2); } void jikken4(){ int n; in(n); map mp; repp(x,1,n+1){ mp[gcd(n,x)]++; } for (auto [x, c] : mp){ out(x,c); } } #line 2 "/Users/noya2/Desktop/Noya2_library/math/sieve.hpp" #line 6 "/Users/noya2/Desktop/Noya2_library/math/sieve.hpp" namespace noya2{ struct prime_sieve { static std::vector primes, factor, mu; prime_sieve (int n = 1024){ build(n); } static void reserve(int n){ int sz = size(); if (sz == 0){ build(n); return ; } if (n <= sz) return ; while (sz < n) sz <<= 1; build(sz); } // n in [1, size()] is available static int size(){ return (int)factor.size() - 1; } private: static void build(int n){ primes.clear(); factor.assign(n + 1, 0); mu.assign(n + 1, 1); for (int x = 2; x <= n; x++){ if (factor[x] == 0){ primes.emplace_back(x); factor[x] = x; mu[x] = -1; } for (int p : primes){ if (x * p > n || p > factor[x]) break; factor[x * p] = p; mu[x * p] = (p == factor[x] ? 0 : -mu[x]); } } } } sieve; std::vector prime_sieve::primes; std::vector prime_sieve::factor; std::vector prime_sieve::mu; void reserve_sieve(int n){ sieve.reserve(n); } int mobius_sieve(int n){ assert(1 <= n && n <= sieve.size()); return sieve.mu[n]; } bool is_prime_sieve(int n){ if (n <= 2) return n == 2; assert(n <= sieve.size()); return sieve.factor[n] == n; } // pair(prime, exponent) std::vector> factorize_sieve(int n){ assert(1 <= n && n <= sieve.size()); std::vector> ret; int pre = 0; while (n > 1){ int p = sieve.factor[n]; if (pre != p){ ret.emplace_back(p, 1); } else { ret.back().second += 1; } pre = p; n /= p; } return ret; } std::vector divisors_sieve(int n){ assert(1 <= n && n <= sieve.size()); std::vector ret = {1}; int pre = 0, w = 1; while (n > 1){ int p = sieve.factor[n]; int sz = ret.size(); if (pre != p){ w = ret.size(); } ret.reserve(sz + w); for (int i = 0; i < w; i++){ ret.emplace_back(ret[sz - w + i] * p); } pre = p; n /= p; } return ret; } } // namespace noya2 #line 70 "c.cpp" int ord(int n, int p){ int ret = 0; while (n % p == 0){ n /= p; ret++; } return ret; } int ipow(int n, int e){ int ret = 1; while (e--){ ret *= n; } return ret; } void solve(){ // jikken1(); // jikken2(); // jikken3(); // jikken4(); int h, w; in(h,w); auto pes = factorize_sieve(h*w); vector a(h,vector(w)); auto dfs = [&](auto sfs, int step) -> pii { if (step == ssize(pes)){ a[0][0] = 1; return {1, 1}; } auto [ih, iw] = sfs(sfs,step+1); auto [p, e] = pes[step]; int eh = ord(h,p); int ew = ord(w,p); int mh = ipow(p,eh); int mw = ipow(p,ew); rep(i,mh) rep(j,mw){ if (i == 0 && j == 0) continue; int gx = i*ih, gy = j*iw; rep(x,ih) rep(y,iw){ a[gx+x][gy+y] = a[(i % 2 == 0 ? x : ih-1-x)][(j % 2 == 0 ? y : iw-1-y)]; } } int count = ipow(p,e); rep(tt,e){ count /= p; int many = count; rep(i,mh) rep(j,mw){ if (many == 0) break; int gx = i*ih, gy = j*iw; rep(x,ih) rep(y,iw){ a[gx+x][gy+y] *= p; } many--; } } return {ih*mh,iw*mw}; }; auto [ih, iw] = dfs(dfs,0); assert(h == ih && w == iw); // out(a); vector> vals(h*w+1); repp(i,1,h*w+1){ vals[gcd(h*w,i)].emplace_back(i); } vector ans(h,vector(w)); rep(i,h) rep(j,w){ assert(!vals[a[i][j]].empty()); ans[i][j] = vals[a[i][j]].back(); vals[a[i][j]].pop_back(); } out(ans); } int main(){ reserve_sieve(200200); int t = 1; //in(t); while (t--) { solve(); } }