結果

問題 No.2111 Sum of Diff
ユーザー tanakamidnighttanakamidnight
提出日時 2022-10-28 21:51:21
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 40 ms / 2,000 ms
コード長 11,319 bytes
コンパイル時間 2,348 ms
コンパイル使用メモリ 218,924 KB
実行使用メモリ 10,660 KB
最終ジャッジ日時 2024-07-06 00:56:40
合計ジャッジ時間 3,717 ms
ジャッジサーバーID
(参考情報)
judge3 / judge4
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
5,376 KB
testcase_01 AC 1 ms
5,376 KB
testcase_02 AC 40 ms
10,532 KB
testcase_03 AC 28 ms
9,656 KB
testcase_04 AC 7 ms
5,376 KB
testcase_05 AC 37 ms
10,660 KB
testcase_06 AC 36 ms
10,532 KB
testcase_07 AC 11 ms
5,376 KB
testcase_08 AC 14 ms
6,396 KB
testcase_09 AC 4 ms
5,376 KB
testcase_10 AC 5 ms
5,376 KB
testcase_11 AC 19 ms
6,840 KB
testcase_12 AC 19 ms
6,792 KB
testcase_13 AC 13 ms
5,388 KB
testcase_14 AC 33 ms
9,824 KB
testcase_15 AC 36 ms
10,404 KB
testcase_16 AC 18 ms
6,632 KB
testcase_17 AC 37 ms
10,532 KB
testcase_18 AC 12 ms
5,376 KB
testcase_19 AC 30 ms
9,620 KB
testcase_20 AC 36 ms
10,528 KB
testcase_21 AC 2 ms
5,376 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 #

/**
 * code generated by JHelper
 * More info: https://github.com/AlexeyDmitriev/JHelper
 * @author
 */

//@formatter:off
#pragma GCC optimize("Ofast")
#include <bits/stdc++.h>
using namespace std;

//@formatter:off
#define rep(i, n) for (int i = 0; i < (n); ++i)
#define drep(i, n) for (int i = (n)-1; i >= 0; --i)
#define srep(i, s, t) for (int i = s; i < t; ++i)
#define rng(a) a.begin(), a.end()
#define rrng(a) a.rbegin(), a.rend()
using ll = long long;
using P = pair<ll, ll>;
using VI = vector<int>;
using VVI = vector<VI>;
using VVVI = vector<VVI>;
using VVVVI = vector<VVVI>;
using VL = vector<ll>;
using VVL = vector<VL>;
using VVVL = vector<VVL>;
using VVVVL = vector<VVVL>;
using VP = vector<P>;
using VVP = vector<vector<P>>;
using VS = vector<string>;
using VC = vector<char>;
using VVC = vector<vector<char>>;
using VD = vector<double>;
using VVD = vector<vector<double>>;
using VVVD = vector<VVD>;
using I_I = pair<int, int>;
const int INF = (int)1e9 + 10;         // int max > 2*10^9
const long long INFL = (ll)2e18 + 10;  // ll max > 9*10^18

const int JU_5 = 100000;
const int JU_6 = 1000000;
const ll JU_9 = 1000000000;
const ll JU_18 = JU_9*JU_9;


#define YES cout << "YES" << endl
#define NO cout << "NO" << endl
#define Yes cout << "Yes" << endl
#define No cout << "No" << endl

template <typename T, typename C>
pair<T,C> operator+(const pair<T,C> &a, const pair<T,C> &b) { return make_pair(a.first + b.first, a.second + b.second); }
template <typename T, typename C>
pair<T,C> operator-(const pair<T,C> &a, const pair<T,C> &b) { return make_pair(a.first - b.first, a.second - b.second); }
template <typename T, typename C>
pair<T,C> operator*(const pair<T,C> &a, const pair<T,C> &b) { return make_pair(a.first * b.first, a.second * b.second); }
template <typename T, typename C>
pair<T,C> operator/(const pair<T,C> &a, const pair<T,C> &b) { return make_pair(a.first / b.first, a.second / b.second); }


// #define MOD 1000000007
#define MOD 998244353

#define pmod(x,y) ((x%y)+y)%y

/********** libs **********/
//@formatter:off
// jhelper 用変数
ostream *__cout;
istream *__cin;

void _init_io(std::istream &cin, std::ostream &cout) {
    // 入出力高速化用
    ios::sync_with_stdio(false); cin.tie(nullptr);
    // 少数15桁まで出力
    cout << std::setprecision(15);
    // jhelper 用
    __cout = &cout; __cin = &cin;
}

//@formatter:off
/* デバッグ用 出力 */
template<typename T>
ostream &operator<<(ostream &os, const deque<T> &vec) { os << "deq["; for (auto v: vec) os << v << ","; os << "]"; return os; }

template<typename T>
ostream &operator<<(ostream &os, const set<T> &vec) { os << "{"; for (auto v: vec) os << v << ","; os << "}"; return os; }

template<typename T>
ostream &operator<<(ostream &os, const unordered_set<T> &vec) { os << "{"; for (auto v: vec) os << v << ","; os << "}"; return os; }

template<typename T>
ostream &operator<<(ostream &os, const multiset<T> &vec) { os << "{"; for (auto v: vec) os << v << ","; os << "}"; return os; }

template<typename T>
ostream &operator<<(ostream &os, const unordered_multiset<T> &vec) { os << "{"; for (auto v: vec) os << v << ","; os << "}"; return os; }

template<typename T1, typename T2>
ostream &operator<<(ostream &os, const pair<T1, T2> &pa) { os << "(" << pa.first << "," << pa.second << ")"; return os; }
template<typename TK, typename TV>
ostream &operator<<(ostream &os, const map<TK, TV> &mp) { os << "{"; for (auto v: mp) os << v.first << "=>" << v.second << ","; os << "}"; return os; }

template<typename TK, typename TV>
ostream &operator<<(ostream &os, const unordered_map<TK, TV> &mp) { os << "{"; for (auto v: mp) os << v.first << "=>" << v.second << ","; os << "}"; return os; }

// print like python
// src: https://qiita.com/Lily0727K/items/06cb1d6da8a436369eed
/////////////////////////////////////////////////////////
void print() { *__cout << endl; }
template<class Head, class... Tail>
void print(Head &&head, Tail &&... tail) { *__cout << head; if (sizeof...(tail) != 0) *__cout << " "; print(forward<Tail>(tail)...); }
template<class T>
void print(vector<T> &vec) { for (auto &a: vec) { *__cout << a; if (&a != &vec.back()) *__cout << " "; } *__cout << endl; }
template<class T>
void print(vector<vector<T>> &df) { for (auto &vec: df) { print(vec); } }

// endl なし
void Print() {}
template<class Head, class... Tail>
void Print(Head &&head, Tail &&... tail) { *__cout << head; if (sizeof...(tail) != 0) *__cout << " "; Print(forward<Tail>(tail)...); }
template<class T>
void Print(vector<T> &vec) { for (auto &a: vec) { *__cout << a; if (&a != &vec.back()) *__cout << " "; } }
//@formatter:off
/*
 * org: https://atcoder.jp/contests/abc213/submissions/24901856
 * jhelper で使用するため, 全部 cin での入力にしている. (現状のレベルでは困らないので)
 */
template<class T> void scan(T& a){ *__cin >> a; }
template<class T> void scan(vector<T>&);
template<class T, class L> void scan(pair<T, L>&);
template<class T> void scan(vector<T>& a){ for(auto&& i : a) scan(i); }
template<class T, class L> void scan(pair<T, L>& p){ scan(p.first); scan(p.second); }
template<class T, size_t size> void scan(T (&a)[size]){ for(auto&& i : a) scan(i); }
void in(){}
template <class... T> void in(T&... a){ (void)initializer_list<int>{ (scan(a), 0)... }; }

#define let_v(type,name,...) vector<type>name(__VA_ARGS__)
#define let_V(type,name,size) vector<type>name(size);in(name)
#define let_vv(type,name,h,...) vector<vector<type>>name(h,vector<type>(__VA_ARGS__))
#define let_VV(type,name,h,w) vector<vector<type>>name(h,vector<type>(w));in(name)
#define let_vvv(type,name,h,w,...) vector<vector<vector<type>>>name(h,vector<vector<type>>(w,vector<type>(__VA_ARGS__)))
#define let_vvvv(type,name,h,w,x,...) vector<vector<vector<vector<type>>>>name(h,vector<vector<vector<type>>>(w,vector<vector<type>>(x,vector<type>(__VA_ARGS__))))

/* string 入力を vector<char> で受け取るみたいな */
vector<char> let_CharVec() { string s; *__cin >> s; return {s.begin(), s.end()}; }

//@formatter:off
//ll gcd(ll a, ll b) { return b ? gcd(b, a % b) : a; }
ll lcm(ll a, ll b) { return a / gcd(a, b) * b; }

template <class T, class C>
bool chmax(T& a, C b) { if (a < b) { a = b; return true; } return false; }
template <class T, class C>
bool chmin(T& a, C b) { if (a > b) { a = b; return true; } return false; }

template <class T>
T sum(const vector<T>& v) { T res = 0; for (size_t i = 0; i < v.size(); ++i) res += v[i]; return res; }

template<class T>
vector<pair<T, int>> idx_pair(vector<T> &vals) { vector<pair<T, int>> ans; rep(i, vals.size()) { ans.emplace_back(vals[i], i); } return ans; }

template <class T, class C>
T min(T a, C b) { return a <= b ? a : T(b); }

template <class T, class C>
T max(T a, C b) { return a >= b ? a : T(b); }


// add other source
// #include "../library/graph/UnionFind.cpp"
// #include "../library/tree/SegmentTree.cpp"
// #include "../library/others/Zaatsu.cpp"
// #include "../library/graph/template.cpp"

// utils
 struct mint {
    ll x;  // typedef long long ll;
    int mod;

    mint(ll x = 0, int mod = MOD) : x((x % mod + mod) % mod), mod(mod) {}

    mint operator-() const { return mint(-x); }

    mint &operator+=(const mint a) {
        if ((x += a.x) >= mod) x -= mod;
        return *this;
    }

    mint &operator-=(const mint a) {
        if ((x += mod - a.x) >= mod) x -= mod;
        return *this;
    }

    mint &operator*=(const mint a) {
        (x *= a.x) %= mod;
        return *this;
    }

    mint operator+(const mint a) const {
        mint res(*this);
        return res += a;
    }

    mint operator-(const mint a) const {
        mint res(*this);
        return res -= a;
    }

    mint operator*(const mint a) const {
        mint res(*this);
        return res *= a;
    }

    // x^t
    mint pow(ll t) const {
        if (!t) return 1;
        mint a = pow(t >> 1);
        a *= a;  // 桁ずらし
        if (t & 1) a *= *this;
        return a;
    }

    // for prime mod
    mint inv() const { return pow(mod - 2); }

    mint &operator/=(const mint a) { return (*this) *= a.inv(); }

    mint operator/(const mint a) const {
        mint res(*this);
        return res /= a;
    }
};

istream &operator>>(istream &is, mint &a) { return is >> a.x; }

ostream &operator<<(ostream &os, const mint &a) { return os << a.x; }

/**
 * mint を使った combination 計算
 */
mint calc_cmb(int n, int m) {
    if (n - m < m) m = n - m;
    mint x = 1;
    mint d = 1;
    for(int i=0;i<m;++i) {
        x *= (n - i);
        d *= (i + 1);
    }
    return x/d;
}

/**
 * nCm nPm nHm 計算用クラス
 * 参考: https://atcoder.jp/contests/arc117/submissions/21862868
 *
 */
struct Comb {
    int n;
    vector<mint> kaijo;
    vector<mint> gyaku;

    ll r(ll x) {
        while (x % MOD == 0) x /= MOD;
        return x;
    }
    // xの mod 進数
    int rcnt(ll x) {
        if (x <= 0) return 0;
        return rcnt(x / MOD) + x / MOD;
    }

    Comb(int mn) : n(mn + 1), kaijo(mn + 1), gyaku(mn + 1) {
        // mod で割り切れるだけ割ったときの nCm を求められるように, 階乗と逆元を求める
        kaijo[0] = 1;
        for (int i = 1; i < n; i++) {
            kaijo[i] = kaijo[i - 1] * r(i);
        }
        gyaku[n - 1] = kaijo[n - 1].pow(MOD - 2);
        for (int i = n - 1; i > 0; i--) {
            gyaku[i - 1] = gyaku[i] * r(i);
        }
    }

    mint nCm(int n, int m) {
        if (n < m || m < 0) return 0;
        if(m==0)return mint(1);

        int cnt1 = rcnt(n);
        int cnt2 = rcnt(n - m) + rcnt(m);
        if (cnt1 > cnt2) return mint(0);
        assert(n<kaijo.size());
        assert(m<gyaku.size());
        return kaijo[n] * gyaku[n - m] * gyaku[m];
    }
    mint nPm(int n, int m) {
        if (n < 0 || m > n) return 0;
        if(n==m)return kaijo[n];
        int cnt1 = rcnt(n);
        int cnt2 = rcnt(n - m);
        if (cnt1 > cnt2) return mint(0);
        return kaijo[n] * gyaku[n - m];
    }
    // 重複組合せ. n 種類の中から重複を許し m 個とる
    mint nHm(int n, int m) {
        int l = n + m - 1;
        int r = n - 1;
        if (l < 0 || r < 0) return mint(0);
        return nCm(l, r);
    }
};

using VMI = vector<mint>;
using VVMI = vector<vector<mint>>;
using VVVMI = vector<VVMI>;

// #include "../library/string/utils.cpp"
// #include "../library/math/utils.cpp"
/**************************/

class No2111SumOfDiff {
public:
void solve(std::istream &cin, std::ostream &cout) { _init_io(cin, cout); int t = 1;
//    cin >> t;
    while (t--) _solve(cin, cout); }
//@formatter:on

    void _solve(std::istream &cin, std::ostream &cout) {
        // code
        int n;
        cin >> n;
        VMI a(n);
        rep(i, n) {
            ll v;
            cin >> v;
            a[i] = v;
        }
        mint tot = sum(a);
        mint ans = 0;
        VMI tw{1};
        rep(i, n+10)tw.push_back(tw.back() * 2);

        rep(i, n - 1) {
            ans += a[i] * tw[i] * (tw[n - 1 - i] - 1);
        }
        srep(i, 1, n) {
            ans -= (tw[i] - 1) * a[i] * (tw[n - 1 - i]);
        }
        print(ans);

    }

};


int main() {
	No2111SumOfDiff solver;
	std::istream& in(std::cin);
	std::ostream& out(std::cout);
	solver.solve(in, out);
	return 0;
}
0