#1168489 (C++17) No.3567 Modulo Grid

• 問題: No.3567 Modulo Grid
• ユーザー: 👑 AngrySadEight
• 提出日時: 2026-06-06 19:25:31
• 言語: C++17 (gcc 15.2.0 + boost 1.89.0)
• 結果: WA
• 実行時間: -
• コード長: 8,202 bytes
• コンパイル時間: 3,190 ms
• コンパイル使用メモリ: 230,288 KB
• 実行使用メモリ: 34,564 KB
• 最終ジャッジ日時: 2026-06-06 19:25:41
• 合計ジャッジ時間: 8,120 ms
• ジャッジサーバーID （参考情報）: judge3_1 / judge2_0

ファイルパターン	結果
sample	AC * 2
other	AC * 17 WA * 8

ソースコード

#include <algorithm>
#include <atcoder/all>
#include <bitset>
#include <cassert>
#include <cmath>
#include <ctime>
#include <functional>
#include <iomanip>
#include <iostream>
#include <map>
#include <queue>
#include <random>
#include <set>
#include <stack>
#include <string>
#include <tuple>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>
using namespace std;
using namespace atcoder;
typedef long long ll;
#define rep(i, n) for (int i = 0; i < (int)(n); i++)
#define repr(i, n) for (int i = (int)(n) - 1; i >= 0; i--)
#define repk(i, k, n) for (int i = k; i < (int)(n); i++)
#define all(v) v.begin(), v.end()
#define mod1 1000000007
#define mod2 998244353
#define mod3 100000007
#define vi vector<int>
#define vs vector<string>
#define vc vector<char>
#define vl vector<ll>
#define vb vector<bool>
#define vvi vector<vector<int>>
#define vvc vector<vector<char>>
#define vvl vector<vector<ll>>
#define vvb vector<vector<bool>>
#define vvvi vector<vector<vector<int>>>
#define vvvl vector<vector<vector<ll>>>
#define pii pair<int, int>
#define pil pair<int, ll>
#define pli pair<ll, int>
#define pll pair<ll, ll>
#define vpii vector<pair<int, int>>
#define vpll vector<pair<ll, ll>>
#define vvpii vector<vector<pair<int, int>>>
#define vvpll vector<vector<pair<ll, ll>>>

template <typename T>
void debug(T e) {
    cerr << e << endl;
}

template <typename T>
void debug(vector<T> &v) {
    rep(i, v.size()) { cerr << v[i] << " "; }
    cerr << endl;
}

template <typename T>
void debug(vector<vector<T>> &v) {
    rep(i, v.size()) {
        rep(j, v[i].size()) { cerr << v[i][j] << " "; }
        cerr << endl;
    }
}

template <typename T>
void debug(vector<pair<T, T>> &v) {
    rep(i, v.size()) { cerr << v[i].first << " " << v[i].second << endl; }
}

template <typename T>
void debug(set<T> &st) {
    for (auto itr = st.begin(); itr != st.end(); itr++) {
        cerr << *itr << " ";
    }
    cerr << endl;
}

template <typename T>
void debug(multiset<T> &ms) {
    for (auto itr = ms.begin(); itr != ms.end(); itr++) {
        cerr << *itr << " ";
    }
    cerr << endl;
}

template <typename T>
void debug(map<T, T> &mp) {
    for (auto itr = mp.begin(); itr != mp.end(); itr++) {
        cerr << itr->first << " " << itr->second << endl;
    }
}

void debug_out() { cerr << endl; }

template <typename Head, typename... Tail>
void debug_out(Head H, Tail... T) {
    cerr << H << " ";
    debug_out(T...);
}

using mint = modint998244353;

void debug_mint1(vector<mint> &vec) {
    for (int i = 0; i < vec.size(); i++) {
        cerr << vec[i].val() << " ";
    }
    cerr << endl;
}

void debug_mint2(vector<vector<mint>> &vec) {
    for (int i = 0; i < vec.size(); i++) {
        for (int j = 0; j < vec[i].size(); j++) {
            cerr << vec[i][j].val() << " ";
        }
        cerr << endl;
    }
}

bool has(ll a, ll b, ll M){
    for (ll i = 0; i <= M; i++){
        if ((a * i) % M == b % M) return true;
        if (a % M == (b * i) % M) return true;
    }
    return false;
}

bool validate(vector<vector<ll>> &gs, ll H, ll W){
    vector<ll> cnts(H * W + 1, false);
    for (ll i = 0; i < H; i++){
        for (ll j = 0; j < W; j++){
            if (gs[i][j] <= 0 || gs[i][j] > H * W){
                return false;
            }
            cnts[gs[i][j]]++;
        }
    }
    rep(i, H * W){
        if (cnts[i + 1] != 1) return false;
    }
    for (ll i = 0; i < H - 1; i++){
        for (ll j = 0; j < W; j++){
            if (!has(gs[i][j], gs[i + 1][j], H * W)) return false;
        }
    }
    for (ll i = 0; i < H; i++){
        for (ll j = 0; j < W - 1; j++){
            if (!has(gs[i][j], gs[i][j + 1], H * W)) return false;
        }
    }
    return true;
}

vector<ll> gray_code(ll len){
    vector<ll> code;
    for (ll i = 0; i < (1 << len); i++){
        code.push_back(i ^ (i >> 1));
    }
    return code;
}

int main(){
    ll H, W;
    cin >> H >> W;
    // H, W それぞれ素因数分解
    vector<ll> ph;
    vector<ll> pw;

    ll H_cpy = H;
    ll W_cpy = W;
    for (ll i = 2; i * i <= H; i++){
        if (H_cpy % i == 0){
            ph.push_back(i);
            while (H_cpy % i == 0) H_cpy /= i;
        }
    }
    if (H_cpy != 1) ph.push_back(H_cpy);

    for (ll i = 2; i * i <= W; i++){
        if (W_cpy % i == 0){
            bool inc = false;
            for (auto x: ph){
                if (x == i) inc = true;
            }
            if (!inc) pw.push_back(i);
            while (W_cpy % i == 0) W_cpy /= i;
        }
    }
    if (W_cpy != 1){
        bool inc = false;
        for (auto x: ph){
            if (x == W_cpy) inc = true;
        }
        if (!inc) pw.push_back(W_cpy);
    }
    
    ll len_h = ph.size();
    ll len_w = pw.size();
    
    // グレイコードで構築
    vector<ll> code_h = gray_code(len_h);
    vector<ll> code_w = gray_code(len_w);

    vector<pll> div_h;
    vector<pll> div_w;
    for (ll i = 0; i < (1 << len_h); i++){
        ll val = 1;
        for (ll j = 0; j < len_h; j++){
            if ((code_h[i] >> j) & 1){
                val *= ph[j];
            }
        }
        div_h.push_back(make_pair(val, H / val));
    }
    for (ll i = 0; i < (1 << len_w); i++){
        ll val = 1;
        for (ll j = 0; j < len_w; j++){
            if ((code_w[i] >> j) & 1){
                val *= pw[j];
            }
        }
        div_w.push_back(make_pair(val, W / val));
    }
    // 約数包除原理で正しい個数をカウントする
    vector<ll> s_div_h;
    vector<ll> s_div_w;
    rep(i, (1 << len_h)){
        s_div_h.push_back(div_h[i].first);
    }
    rep(i, (1 << len_w)){
        s_div_w.push_back(div_w[i].first);
    }
    sort(all(s_div_h));
    sort(all(s_div_w));
    reverse(all(s_div_h));
    reverse(all(s_div_w));
    for (ll i = 0; i < (1 << len_h); i++){
        ll idx = -1;
        for (ll j = 0; j < (1 << len_h); j++){
            if (s_div_h[i] == div_h[j].first){
                idx = j;
            }
        }
        for (ll j = 0; j < (1 << len_h); j++){
            if (div_h[j].first % s_div_h[i] == 0 && div_h[j].first > s_div_h[i]){
                div_h[idx].second -= div_h[j].second;
            }
        }
    }
    for (ll i = 0; i < (1 << len_w); i++){
        ll idx = -1;
        for (ll j = 0; j < (1 << len_w); j++){
            if (s_div_w[i] == div_w[j].first){
                idx = j;
            }
        }
        for (ll j = 0; j < (1 << len_w); j++){
            if (div_w[j].first % s_div_w[i] == 0 && div_w[j].first > s_div_w[i]){
                div_w[idx].second -= div_w[j].second;
            }
        }
    }
    vector<ll> bai_h(H);
    vector<ll> bai_w(W);
    ll now_h = 0;
    for (ll i = 0; i < (1 << len_h); i++){
        for (ll j = 0; j < div_h[i].second; j++){
            bai_h[now_h + j] = div_h[i].first;
        }
        now_h += div_h[i].second;
    }
    ll now_w = 0;
    for (ll i = 0; i < (1 << len_w); i++){
        for (ll j = 0; j < div_w[i].second; j++){
            bai_w[now_w + j] = div_w[i].first;
        }
        now_w += div_w[i].second;
    }
    vector<vector<ll>> bais(H, vector<ll>(W));
    rep(i, H){
        rep(j, W) bais[i][j] = bai_h[i] * bai_w[j];
    }
    // debug(bais);
    set<ll> st;
    rep(i, H){
        rep(j, W){
            st.insert(bais[i][j]);
        }
    }
    vector<ll> vec_bai;
    for (auto it = st.begin(); it != st.end(); it++){
        vec_bai.push_back(*it);
    }
    vector<vector<ll>> max_divs(H * W + 1, vector<ll>(0));
    for (ll i = 1; i <= H * W; i++){
        ll max_div = 0;
        for (ll div: vec_bai){
            if (i % div == 0){
                max_div = max(max_div, div);
            }
        }
        max_divs[max_div].push_back(i);
    }
    ll len_bai = vec_bai.size();
    vector<ll> ids(H * W + 1, 0);
    vector<vector<ll>> ans(H, vector<ll>(W));
    for (ll i = 0; i < H; i++){
        for (ll j = 0; j < W; j++){
            ans[i][j] = max_divs[bais[i][j]][ids[bais[i][j]]];
            ids[bais[i][j]]++;
        }
    }
    for (ll i = 0; i < H; i++){
        for (ll j = 0; j < W; j++){
            cout << ans[i][j] << " ";
        }
        cout << endl;
    }
}