#626914 (C++17) No.1299 Random Array Score

提出ソース

結果

問題	No.1299 Random Array Score
ユーザー	Coki628
提出日時	2021-03-09 01:54:47
言語	C++17 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	26 ms / 2,000 ms
コード長	8,267 bytes
コンパイル時間	2,740 ms
コンパイル使用メモリ	225,512 KB
実行使用メモリ	6,820 KB
最終ジャッジ日時	2024-10-10 15:50:43
合計ジャッジ時間	5,688 ms
ジャッジサーバーID （参考情報）	judge3 / judge2

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 6,816 KB
testcase_01	AC	2 ms 6,816 KB
testcase_02	AC	2 ms 6,816 KB
testcase_03	AC	24 ms 6,820 KB
testcase_04	AC	23 ms 6,820 KB
testcase_05	AC	19 ms 6,820 KB
testcase_06	AC	16 ms 6,816 KB
testcase_07	AC	17 ms 6,816 KB
testcase_08	AC	23 ms 6,820 KB
testcase_09	AC	3 ms 6,820 KB
testcase_10	AC	10 ms 6,816 KB
testcase_11	AC	5 ms 6,820 KB
testcase_12	AC	16 ms 6,816 KB
testcase_13	AC	23 ms 6,820 KB
testcase_14	AC	17 ms 6,816 KB
testcase_15	AC	17 ms 6,816 KB
testcase_16	AC	17 ms 6,820 KB
testcase_17	AC	5 ms 6,816 KB
testcase_18	AC	11 ms 6,820 KB
testcase_19	AC	13 ms 6,820 KB
testcase_20	AC	8 ms 6,816 KB
testcase_21	AC	2 ms 6,820 KB
testcase_22	AC	5 ms 6,820 KB
testcase_23	AC	17 ms 6,816 KB
testcase_24	AC	19 ms 6,816 KB
testcase_25	AC	16 ms 6,816 KB
testcase_26	AC	2 ms 6,816 KB
testcase_27	AC	6 ms 6,820 KB
testcase_28	AC	5 ms 6,820 KB
testcase_29	AC	6 ms 6,820 KB
testcase_30	AC	16 ms 6,816 KB
testcase_31	AC	7 ms 6,820 KB
testcase_32	AC	23 ms 6,816 KB
testcase_33	AC	26 ms 6,816 KB
testcase_34	AC	14 ms 6,820 KB
testcase_35	AC	26 ms 6,820 KB
testcase_36	AC	13 ms 6,816 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

raw source code

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

#include <bits/stdc++.h>
using namespace std;

using ll = long long;
using ld = long double;
using pll = pair<ll, ll>;
using pii = pair<int, int>;
using vvl = vector<vector<ll>>;
using vvi = vector<vector<int>>;
using vvpll = vector<vector<pll>>;
#define name4(i, a, b, c, d, e, ...) e
#define rep(...) name4(__VA_ARGS__, rep4, rep3, rep2, rep1)(__VA_ARGS__)
#define rep1(i, a) for(ll i = 0, _aa = a; i < _aa; i++)
#define rep2(i, a, b) for(ll i = a, _bb = b; i < _bb; i++)
#define rep3(i, a, b, c) for(ll i = a, _bb = b; (a <= i && i < _bb) or (a >= i && i > _bb); i += c)
#define rrep(i, a, b) for (ll i=(a); i>(b); i--)
#define pb push_back
#define mkp make_pair
#define ALL(A) A.begin(), A.end()
#define elif else if
constexpr ll INF = 1e18;
// constexpr ll INF = LONG_LONG_MAX;
// constexpr int MOD = 1000000007;
constexpr int MOD = 998244353;
constexpr ld EPS = 1e-10;

const string digits = "0123456789";
const string ascii_lowercase = "abcdefghijklmnopqrstuvwxyz";
const string ascii_uppercase = "ABCDEFGHIJKLMNOPQRSTUVWXYZ";
const string ascii_letters = ascii_lowercase + ascii_uppercase;

template<typename T> vector<vector<T>> list2d(int N, int M, T init) { return vector<vector<T>>(N, vector<T>(M, init)); }
template<typename T> vector<vector<vector<T>>> list3d(int N, int M, int L, T init) { return vector<vector<vector<T>>>(N, vector<vector<T>>(M, vector<T>(L, init))); }
template<typename T> vector<vector<vector<vector<T>>>> list4d(int N, int M, int L, int O, T init) { return vector<vector<vector<vector<T>>>>(N, vector<vector<vector<T>>>(M, vector<vector<T>>(L, vector<T>(O, init)))); }

template<typename T=ll> vector<T> LIST(ll N) { vector<T> A(N); rep(i, 0, N) cin >> A[i]; return A; }

void print() { cout << '\n'; }
void print(ld out) { cout << fixed << setprecision(15) << out << '\n'; }
void print(double out) { cout << fixed << setprecision(15) << out << '\n'; }
template<typename T> void print(T out) { cout << out << '\n'; }
template<typename T1, typename T2> void print(pair<T1, T2> out) { cout << out.first << ' ' << out.second << '\n'; }
template<typename T> void print(vector<T> A) { rep(i, 0, A.size()) { cout << A[i]; cout << (i == A.size()-1 ? '\n' : ' '); } }
template<typename T> void print(deque<T> A) { rep(i, 0, A.size()) { cout << A[i]; cout << (i == A.size()-1 ? '\n' : ' '); } }
template<typename T> void print(set<T> S) { vector<T> A(S.begin(), S.end()); print(A); }

void Yes() { print("Yes"); }
void No() { print("No"); }
void YES() { print("YES"); }
void NO() { print("NO"); }

ll floor(ll a, ll b) { if (a < 0) { return (a-b+1) / b; } else { return a / b; } }
ll ceil(ll a, ll b) { if (a >= 0) { return (a+b-1) / b; } else { return a / b; } }
template<typename T> pll divmod(ll a, T b) { ll d = a / b; ll m = a % b; return {d, m}; }
template<typename T> bool chmax(T &x, T y) { return (y > x) ? x = y, true : false; }
template<typename T> bool chmin(T &x, T y) { return (y < x) ? x = y, true : false; }

template<typename T> T sum(vector<T> &A) { T res = 0; for (T a: A) res += a; return res; }
template<typename T> T max(vector<T> &A) { return *max_element(ALL(A)); }
template<typename T> T min(vector<T> &A) { return *min_element(ALL(A)); }

ll toint(string s) { ll res = 0; for (char c : s) { res *= 10; res += (c - '0'); } return res; }
int toint(char num) { return num - '0'; }
char tochar(int num) { return '0' + num; }
int ord(char c) { return (int)c; }
char chr(int a) { return (char)a; }

ll pow(int x, int n) { ll res = 1; rep(_, 0, n) res *= x; return res; }
ll pow(int x, ll n) { ll res = 1; rep(_, 0, n) res *= x; return res; }
ll pow(ll x, int n) { ll res = 1; rep(_, 0, n) res *= x; return res; }
ll pow(ll x, ll n) { ll res = 1; rep(_, 0, n) res *= x; return res; }
ll pow(ll x, ll n, int mod) { ll res = 1; while (n > 0) { if (n & 1) { res = (res * x) % mod; } x = (x * x) % mod; n >>= 1; } return res; }

int popcount(ll S) { return __builtin_popcountll(S); }
ll gcd(ll a, ll b) { return __gcd(a, b); }
ll lcm(ll x, ll y) { return (x * y) / gcd(x, y); }

template<typename T> int bisect_left(vector<T> &A, T val) { return lower_bound(ALL(A), val) - A.begin(); }
template<typename T> int bisect_right(vector<T> &A, T val) { return upper_bound(ALL(A), val) - A.begin(); }
template<typename F> ll bisearch_min(ll mn, ll mx, const F &func) { ll ok = mx, ng = mn; while (ng+1 < ok) { ll mid = (ok+ng) / 2; if (func(mid)) ok = mid; else ng = mid; } return ok; }
template<typename F> ll bisearch_max(ll mn, ll mx, const F &func) { ll ok = mn, ng = mx; while (ok+1 < ng) { ll mid = (ok+ng) / 2; if (func(mid)) ok = mid; else ng = mid; } return ok; }
template<typename T> unordered_map<T, ll> Counter(vector<T> &A) { unordered_map<T, ll> res; for (T a : A) res[a]++; return res; }
unordered_map<char, ll> Counter(string &S) { unordered_map<char, ll> res; for (char c : S) res[c]++; return res; }

template<int mod> struct ModInt {
    int x;
    ModInt() : x(0) {}
    ModInt(int64_t y) : x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {}
    ModInt &operator+=(const ModInt &p) { if((x += p.x) >= mod) x -= mod; return *this; }
    ModInt &operator-=(const ModInt &p) { if((x += mod - p.x) >= mod) x -= mod; return *this; }
    ModInt &operator*=(const ModInt &p) { x = (int) (1LL * x * p.x % mod); return *this; }
    ModInt &operator/=(const ModInt &p) { *this *= p.inverse(); return *this; }
    ModInt operator-() const { return ModInt(-x); }
    ModInt operator+(const ModInt &p) const { return ModInt(*this) += p; }
    ModInt operator-(const ModInt &p) const { return ModInt(*this) -= p; }
    ModInt operator*(const ModInt &p) const { return ModInt(*this) *= p; }
    ModInt operator/(const ModInt &p) const { return ModInt(*this) /= p; }
    bool operator==(const ModInt &p) const { return x == p.x; }
    bool operator!=(const ModInt &p) const { return x != p.x; }
    ModInt inverse() const { int a = x, b = mod, u = 1, v = 0, t; while(b > 0) { t = a / b; swap(a -= t * b, b); swap(u -= t * v, v); } return ModInt(u); }
    ModInt pow(int64_t n) const { ModInt ret(1), mul(x); while(n > 0) { if(n & 1) ret *= mul; mul *= mul; n >>= 1; } return ret; }
    friend ostream &operator<<(ostream &os, const ModInt &p) { return os << p.x; }
    friend istream &operator>>(istream &is, ModInt &a) { int64_t t; is >> t; a = ModInt< mod >(t); return (is); }
    static int get_mod() { return mod; }
    // operator int() const { return x; }
};
using mint = ModInt<MOD>;

// 行列累乗
template<typename T>
struct MatPow {

    MatPow() {}

    vector<vector<T>> mat_dot(vector<vector<T>> &A, vector<vector<T>> &B) {
        int n1 = A.size();
        int n2 = A[0].size();
        int m2 = B[0].size();
        auto res = list2d(n1, m2, (T)0);
        rep(i, 0, n1) {
            rep(j, 0, m2) {
                rep(k, 0, n2) {
                    res[i][j] += A[i][k]*B[k][j];
                }
            }
        }
        return res;
    }
    
    vector<vector<T>> mat_pow(vector<vector<T>> mat, ll k) {
        int n = mat.size();
        auto res = list2d(n, n, (T)0);
        rep(i, 0, n) {
            res[i][i] = 1;
        }
        while (k > 0) {
            if (k & 1) {
                res = mat_dot(res, mat);
            }
            mat = mat_dot(mat, mat);
            k >>= 1;
        }
        return res;
    }

    vector<T> solve(vector<vector<T>> mat, vector<T> &_init, ll K) {
        int n = mat.size();
        auto init = list2d(n, 1, (T)0);
        rep(i, 0, n) init[i][0] = _init[i];
        auto res = mat_pow(mat, K);
        res = mat_dot(res, init);
        vector<T> ret(n, 0);
        rep(i, 0, n) ret[i] = res[i][0];
        return ret;
    }
};

void solve() {
    ll N, K;
    cin >> N >> K;
    auto A = LIST(N);

    mint invN = (mint)1/(mint)N;
    vector<vector<mint>> mat = {
        {1, N},
        {invN, 1},
    };
    vector<mint> init = { sum(A), (mint)sum(A)*invN };
    MatPow<mint> mp;
    auto res = mp.solve(mat, init, K);
    print(res[0]);
}

int main() {
    cin.tie(0);
    ios::sync_with_stdio(false);

    // single test case
    solve();

    // multi test cases
    // int T;
    // cin >> T;
    // while (T--) solve();

    return 0;
}

yukicoder

結果

テストケース

ソースコード