#582758 (C++14) No.314 ケンケンパ

• 問題: No.314 ケンケンパ
• ユーザー: heabi
• 提出日時: 2020-11-22 09:55:27
• 言語: C++14 (gcc 13.3.0 + boost 1.87.0)
• 結果: AC
• 実行時間: 42 ms / 1,000 ms
• コード長: 2,722 bytes
• コンパイル時間: 1,717 ms
• コンパイル使用メモリ: 170,432 KB
• 実行使用メモリ: 26,988 KB
• 最終ジャッジ日時: 2024-07-23 16:19:47
• 合計ジャッジ時間: 3,409 ms
• ジャッジサーバーID （参考情報）: judge3 / judge1

ファイルパターン	結果
sample	AC * 3
other	AC * 17

ソースコード

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#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define rep(i, n) for (ll i = 0; i < n; ++i)
#define P pair<ll, ll>
#define Graph vector<vector<ll>>
#define fi first
#define se second
#define vvvvll vector<vector<vector<vector<ll>>>>
#define vvvll vector<vector<vector<ll>>>
#define vvll vector<vector<ll>>
#define vll vector<ll>
#define pqll priority_queue<ll>
#define pqllg priority_queue<ll, vector<ll>, greater<ll>>
constexpr ll INF = (1ll << 60);
constexpr ll mod = 1000000007;
// constexpr ll mod = 998244353;
// constexpr ll mod = 67280421310721;
constexpr double pi = 3.14159265358979323846;
template <typename T>
inline bool chmax(T &a, T b) {
    if (a < b) {
        a = b;
        return 1;
    }
    return 0;
}
template <typename T>
inline bool chmin(T &a, T b) {
    if (a > b) {
        a = b;
        return 1;
    }
    return 0;
}
void pt_vvll(vvll v) {
    ll vs = v.size(), vs0 = v[0].size();
    rep(i, vs) {
        rep(j, vs0) {
            cout << v[i][j];
            if (j != vs0 - 1)
                cout << " ";
            else
                cout << "\n";
        }
    }
}
void pt_vll(vll v) {
    ll vs = v.size();
    rep(i, vs) {
        cout << v[i];
        if (i == vs - 1)
            cout << "\n";
        else
            cout << " ";
    }
}
#define MAX 1000100
ll fac[MAX], finv[MAX], inv[MAX];
// テーブルを作る前処理
void COMinit() {
    fac[0] = fac[1] = 1;
    finv[0] = finv[1] = 1;
    inv[1] = 1;
    for (ll i = 2; i < MAX; i++) {
        fac[i] = fac[i - 1] * i % mod;
        inv[i] = mod - inv[mod % i] * (mod / i) % mod;
        finv[i] = finv[i - 1] * inv[i] % mod;
    }
}
// 二項係数計算
ll combi(ll n, ll k) {
    if (n < k) return 0;
    if (n < 0 || k < 0) return 0;
    return fac[n] * (finv[k] * finv[n - k] % mod) % mod;
}
// mainに   COMinit();   を入れる
int main() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    COMinit();
    ll N;
    cin >> N;
    ll ans = 0;
    //末尾パ
    for (ll i = 0; 3 * i <= N; i++) {
        ll rem = N - 3 * i;
        if (rem % 2 == 1) {
            continue;
        }
        ans += combi(i + rem / 2, min(i, rem / 2));
        ans %= mod;
    }
    //末尾ケン
    for (ll i = 0; 3 * i <= N - 1; i++) {
        ll rem = N - 1 - 3 * i;
        if (rem % 2 == 1) {
            continue;
        }
        ans += combi(i + rem / 2, min(i, rem / 2));
        ans %= mod;
    }
    //末尾ケンケン
    for (ll i = 0; 3 * i <= N - 2; i++) {
        ll rem = N - 2 - 3 * i;
        if (rem % 2 == 1) {
            continue;
        }
        ans += combi(i + rem / 2, min(i, rem / 2));
        ans %= mod;
    }
    cout << ans << "\n";
    return 0;
}
 
 
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