結果

問題 No.1516 simple 門松列 problem Re:MASTER
ユーザー fuppy_kyoprofuppy_kyopro
提出日時 2021-05-21 23:42:37
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 244 ms / 6,000 ms
コード長 6,297 bytes
コンパイル時間 2,940 ms
コンパイル使用メモリ 235,472 KB
実行使用メモリ 13,056 KB
最終ジャッジ日時 2024-10-10 10:18:11
合計ジャッジ時間 4,819 ms
ジャッジサーバーID
(参考情報)
judge4 / judge1
このコードへのチャレンジ
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 2 ms
6,820 KB
testcase_01 AC 5 ms
6,816 KB
testcase_02 AC 137 ms
8,832 KB
testcase_03 AC 2 ms
6,820 KB
testcase_04 AC 2 ms
6,820 KB
testcase_05 AC 2 ms
6,820 KB
testcase_06 AC 5 ms
6,816 KB
testcase_07 AC 19 ms
6,816 KB
testcase_08 AC 29 ms
6,820 KB
testcase_09 AC 2 ms
6,820 KB
testcase_10 AC 3 ms
6,816 KB
testcase_11 AC 2 ms
6,816 KB
testcase_12 AC 2 ms
6,816 KB
testcase_13 AC 2 ms
6,820 KB
testcase_14 AC 244 ms
13,056 KB
testcase_15 AC 112 ms
10,240 KB
testcase_16 AC 48 ms
7,168 KB
testcase_17 AC 19 ms
6,816 KB
testcase_18 AC 7 ms
6,820 KB
testcase_19 AC 4 ms
6,820 KB
testcase_20 AC 237 ms
12,928 KB
testcase_21 AC 233 ms
12,928 KB
権限があれば一括ダウンロードができます

ソースコード

diff #

/*
#pragma GCC target("avx2")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
//*/

#include <bits/stdc++.h>

// #include <atcoder/all>

using namespace std;
// using namespace atcoder;

#define DEBUG(x) cerr << #x << ": " << x << endl;
#define DEBUG_VEC(v)                                        \
    cerr << #v << ":";                                      \
    for (int iiiiiiii = 0; iiiiiiii < v.size(); iiiiiiii++) \
        cerr << " " << v[iiiiiiii];                         \
    cerr << endl;
#define DEBUG_MAT(v)                            \
    cerr << #v << endl;                         \
    for (int i = 0; i < v.size(); i++) {        \
        for (int j = 0; j < v[i].size(); j++) { \
            cerr << v[i][j] << " ";             \
        }                                       \
        cerr << endl;                           \
    }
typedef long long ll;
// #define int ll

#define vi vector<int>
#define vl vector<ll>
#define vii vector<vector<int>>
#define vll vector<vector<ll>>
#define vs vector<string>
#define pii pair<int, int>
#define pis pair<int, string>
#define psi pair<string, int>
#define pll pair<ll, ll>
template <class S, class T>
pair<S, T> operator+(const pair<S, T> &s, const pair<S, T> &t) {
    return pair<S, T>(s.first + t.first, s.second + t.second);
}
template <class S, class T>
pair<S, T> operator-(const pair<S, T> &s, const pair<S, T> &t) { return pair<S, T>(s.first - t.first, s.second - t.second); }
template <class S, class T>
ostream &operator<<(ostream &os, pair<S, T> p) {
    os << "(" << p.first << ", " << p.second << ")";
    return os;
}
#define X first
#define Y second
#define rep(i, n) for (int i = 0; i < (int)(n); i++)
#define rep1(i, n) for (int i = 1; i <= (int)(n); i++)
#define rrep(i, n) for (int i = (int)(n)-1; i >= 0; i--)
#define rrep1(i, n) for (int i = (int)(n); i > 0; i--)
#define REP(i, a, b) for (int i = a; i < b; i++)
#define in(x, a, b) (a <= x && x < b)
#define all(c) c.begin(), c.end()
void YES(bool t = true) {
    cout << (t ? "YES" : "NO") << endl;
}
void Yes(bool t = true) { cout << (t ? "Yes" : "No") << endl; }
void yes(bool t = true) { cout << (t ? "yes" : "no") << endl; }
void NO(bool t = true) { cout << (t ? "NO" : "YES") << endl; }
void No(bool t = true) { cout << (t ? "No" : "Yes") << endl; }
void no(bool t = true) { cout << (t ? "no" : "yes") << endl; }
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 (a > b) {
        a = b;
        return 1;
    }
    return 0;
}
#define UNIQUE(v) v.erase(std::unique(v.begin(), v.end()), v.end());
const ll inf = 1000000001;
const ll INF = (ll)1e18 + 1;
const long double pi = 3.1415926535897932384626433832795028841971L;
int popcount(ll t) { return __builtin_popcountll(t); }
// int dx[4] = {1, 0, -1, 0}, dy[4] = {0, 1, 0, -1};
// int dx2[8] = { 1,1,0,-1,-1,-1,0,1 }, dy2[8] = { 0,1,1,1,0,-1,-1,-1 };
vi dx = {0, 1, 0, -1}, dy = {-1, 0, 1, 0};
// vi dx2 = { 1,1,0,-1,-1,-1,0,1 }, dy2 = { 0,1,1,1,0,-1,-1,-1 };
struct Setup_io {
    Setup_io() {
        ios_base::sync_with_stdio(0), cin.tie(0), cout.tie(0);
        cout << fixed << setprecision(25);
    }
} setup_io;
// const ll MOD = 1000000007;
const ll MOD = 998244353;
// #define mp make_pair
//#define endl '\n'

using vlll = vector<vll>;
using vllll = vector<vlll>;
using P = pair<vllll, vllll>;

unordered_map<int, P> memo;
ll k;

P solve(int n) {
    if (memo.count(n)) return memo[n];
    DEBUG(n);

    int l = n / 2;
    int r = n - l;
    auto dp1 = solve(l + 1);
    auto dp2 = solve(r + 1);

    memo[n].first = vllll(k, vlll(k, vll(k, vl(k))));
    memo[n].second = vllll(k, vlll(k, vll(k, vl(k))));

    rep(u1, k) rep(v1, k) rep(w1, k) rep(x1, k) {
        if (dp1.first[u1][v1][w1][x1] == 0 && dp1.second[u1][v1][w1][x1] == 0) continue;
        rep(w2, k) rep(x2, k) {
            int u2 = w1, v2 = x1;
            if (dp2.first[u2][v2][w2][x2] == 0 && dp2.second[u2][v2][w2][x2] == 0) continue;

            // if (x1 == u2) continue;
            // if (w1 == u2) continue;
            // if (x1 == v2) continue;
            // {
            //     int mi = min({w1, x1, u2}), ma = max({w1, x1, u2});
            //     if (mi != x1 && ma != x1) continue;
            // }
            // {
            //     int mi = min({x1, u2, v2}), ma = max({x1, u2, v2});
            //     if (mi != u2 && ma != u2) continue;
            // }

            (memo[n].first[u1][v1][w2][x2] += dp1.first[u1][v1][w1][x1] * dp2.first[u2][v2][w2][x2]) %= MOD;
            (memo[n].second[u1][v1][w2][x2] += dp1.first[u1][v1][w1][x1] * dp2.second[u2][v2][w2][x2] + dp1.second[u1][v1][w1][x1] * dp2.first[u2][v2][w2][x2] -
                                               (w1 + x1) * dp1.first[u1][v1][w1][x1] % MOD * dp2.first[u2][v2][w2][x2]) %= MOD;
        }
    }
    return memo[n];
}

void dfs(vi &state, int n) {
    if (state.size() >= 3) {
        int u = state[0], v = state[1], w = state[state.size() - 2], x = state[state.size() - 1];
        int sum = 0;
        rep(i, state.size()) sum += state[i];

        memo[state.size()].first[u][v][w][x]++;
        (memo[state.size()].second[u][v][w][x] += sum) %= MOD;
    }
    if (state.size() == min(n, 8)) {
        return;
    }

    rep(x, k) {
        if (state.size() > 0 && state.back() == x) continue;
        if (state.size() > 1 && state[state.size() - 2] == x) continue;
        if (state.size() > 1) {
            int u = state[state.size() - 2], v = state[state.size() - 1];
            int mi = min({u, v, x}), ma = max({u, v, x});
            if (mi != v && ma != v) continue;
        }
        state.push_back(x);
        dfs(state, n);
        state.pop_back();
    }
}

signed main() {
    int n;
    cin >> n >> k;

    for (int x = 3; x <= 8; x++) {
        memo[x].first = vllll(k, vlll(k, vll(k, vl(k))));
        memo[x].second = vllll(k, vlll(k, vll(k, vl(k))));
    }
    vi state;
    dfs(state, n);

    P ans = solve(n);

    ll ans1 = 0, ans2 = 0;
    rep(i, k) rep(j, k) rep(l, k) rep(m, k) {
        ans1 += ans.first[i][j][l][m];
        ans2 += ans.second[i][j][l][m];
    }
    cout << (ans1 % MOD + MOD) % MOD << " " << (ans2 % MOD + MOD) % MOD << endl;
}
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