結果

問題 No.2327 Inversion Sum
ユーザー siganaisiganai
提出日時 2023-05-28 14:03:37
言語 C++17
(gcc 13.2.0 + boost 1.83.0)
結果
AC  
実行時間 36 ms / 2,000 ms
コード長 9,098 bytes
コンパイル時間 2,568 ms
コンパイル使用メモリ 212,200 KB
実行使用メモリ 5,700 KB
最終ジャッジ日時 2023-08-27 08:55:13
合計ジャッジ時間 4,034 ms
ジャッジサーバーID
（参考情報） 		judge11 / judge13
このコードへのチャレンジ
（要ログイン）

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 9 ms
5,144 KB
testcase_01 AC 32 ms
5,700 KB
testcase_02 AC 25 ms
5,516 KB
testcase_03 AC 8 ms
4,684 KB
testcase_04 AC 36 ms
5,408 KB
testcase_05 AC 7 ms
4,380 KB
testcase_06 AC 26 ms
5,320 KB
testcase_07 AC 14 ms
4,376 KB
testcase_08 AC 6 ms
4,376 KB
testcase_09 AC 33 ms
5,544 KB
testcase_10 AC 10 ms
4,376 KB
testcase_11 AC 4 ms
4,376 KB
testcase_12 AC 3 ms
4,380 KB
testcase_13 AC 3 ms
4,376 KB
testcase_14 AC 21 ms
4,556 KB
testcase_15 AC 35 ms
5,316 KB
testcase_16 AC 15 ms
4,972 KB
testcase_17 AC 5 ms
4,380 KB
testcase_18 AC 5 ms
4,376 KB
testcase_19 AC 12 ms
5,032 KB
testcase_20 AC 2 ms
4,380 KB
testcase_21 AC 2 ms
4,376 KB
testcase_22 AC 2 ms
4,380 KB
testcase_23 AC 2 ms
4,376 KB
testcase_24 AC 1 ms
4,380 KB
testcase_25 AC 2 ms
4,380 KB
testcase_26 AC 2 ms
4,380 KB
testcase_27 AC 1 ms
4,376 KB
testcase_28 AC 2 ms
4,376 KB
testcase_29 AC 2 ms
4,376 KB
testcase_30 AC 1 ms
4,380 KB
testcase_31 AC 2 ms
4,376 KB
testcase_32 AC 2 ms
4,376 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 # 

#line 1 "main.cpp"
//#pragma GCC target("avx")
//#pragma GCC optimize("O3")
//#pragma GCC optimize("unroll-loops")
#include<bits/stdc++.h>
#ifdef LOCAL
#include <debug.hpp>
#define debug(...) debug_print::multi_print(#__VA_ARGS__, __VA_ARGS__)
#else
#define debug(...) (static_cast<void>(0))
#endif
using namespace std;
using ll = long long;
using ld = long double;
using pll = pair<ll, ll>;
using pii = pair<int, int>;
using vi = vector<int>;
using vvi = vector<vi>;
using vvvi = vector<vvi>;
using vl = vector<ll>;
using vvl = vector<vl>;
using vvvl = vector<vvl>;
using vpii = vector<pii>;
using vpll = vector<pll>;
using vs = vector<string>;
template<class T> using pq = priority_queue<T, vector<T>, greater<T>>;
#define overload4(_1, _2, _3, _4, name, ...) name
#define overload3(a,b,c,name,...) name
#define rep1(n) for (ll UNUSED_NUMBER = 0; UNUSED_NUMBER < (n); ++UNUSED_NUMBER)
#define rep2(i, n) for (ll i = 0; i < (n); ++i)
#define rep3(i, a, b) for (ll i = (a); i < (b); ++i)
#define rep4(i, a, b, c) for (ll i = (a); i < (b); i += (c))
#define rep(...) overload4(__VA_ARGS__, rep4, rep3, rep2, rep1)(__VA_ARGS__)
#define rrep1(n) for(ll i = (n) - 1;i >= 0;i--)
#define rrep2(i,n) for(ll i = (n) - 1;i >= 0;i--)
#define rrep3(i,a,b) for(ll i = (b) - 1;i >= (a);i--)
#define rrep4(i,a,b,c) for(ll i = (a) + ((b)-(a)-1) / (c) * (c);i >= (a);i -= c)
#define rrep(...) overload4(__VA_ARGS__, rrep4, rrep3, rrep2, rrep1)(__VA_ARGS__)
#define all1(i) begin(i) , end(i)
#define all2(i,a) begin(i) , begin(i) + a
#define all3(i,a,b) begin(i) + a , begin(i) + b
#define all(...) overload3(__VA_ARGS__, all3, all2, all1)(__VA_ARGS__)
#define sum(...) accumulate(all(__VA_ARGS__),0LL)
template<class T> bool chmin(T &a, const T &b){ if(a > b){ a = b; return 1; } else return 0; }
template<class T> bool chmax(T &a, const T &b){ if(a < b){ a = b; return 1; } else return 0; }
template<class T> auto min(const T& a){return *min_element(all(a));}
template<class T> auto max(const T& a){return *max_element(all(a));}
template<class... Ts> void in(Ts&... t);
#define INT(...) int __VA_ARGS__; in(__VA_ARGS__)
#define LL(...) ll __VA_ARGS__; in(__VA_ARGS__)
#define STR(...) string __VA_ARGS__; in(__VA_ARGS__)
#define CHR(...) char __VA_ARGS__; in(__VA_ARGS__)
#define DBL(...) double __VA_ARGS__; in(__VA_ARGS__)
#define LD(...) ld __VA_ARGS__; in(__VA_ARGS__)
#define VEC(type, name, size) vector<type> name(size); in(name)
#define VV(type, name, h, w) vector<vector<type>> name(h, vector<type>(w)); in(name)
ll intpow(ll a, ll b){ ll ans = 1; while(b){if(b & 1) ans *= a; a *= a; b /= 2;} return ans;}
ll modpow(ll a, ll b, ll p){ ll ans = 1; a %= p;if(a < 0) a += p;while(b){ if(b & 1) (ans *= a) %= p; (a *= a) %= p; b /= 2; } return ans; }
ll GCD(ll a,ll b) { if(a == 0 || b == 0) return 0; if(a % b == 0) return b; else return GCD(b,a%b);}
ll LCM(ll a,ll b) { if(a == 0) return b; if(b == 0) return a;return a / GCD(a,b) * b;}
namespace IO{
#define VOID(a) decltype(void(a))
struct setting{ setting(){cin.tie(nullptr); ios::sync_with_stdio(false);fixed(cout); cout.precision(12);}} setting;
template<int I> struct P : P<I-1>{};
template<> struct P<0>{};
template<class T> void i(T& t){ i(t, P<3>{}); }
void i(vector<bool>::reference t, P<3>){ int a; i(a); t = a; }
template<class T> auto i(T& t, P<2>) -> VOID(cin >> t){ cin >> t; }
template<class T> auto i(T& t, P<1>) -> VOID(begin(t)){ for(auto&& x : t) i(x); }
template<class T, size_t... idx> void ituple(T& t, index_sequence<idx...>){
    in(get<idx>(t)...);}
template<class T> auto i(T& t, P<0>) -> VOID(tuple_size<T>{}){
    ituple(t, make_index_sequence<tuple_size<T>::value>{});}
#undef VOID
}
#define unpack(a) (void)initializer_list<int>{(a, 0)...}
template<class... Ts> void in(Ts&... t){ unpack(IO :: i(t)); }
#undef unpack
static const double PI = 3.1415926535897932;
template <class F> struct REC {
    F f;
    REC(F &&f_) : f(forward<F>(f_)) {}
    template <class... Args> auto operator()(Args &&...args) const { return f(*this, forward<Args>(args)...); }};
//constexpr int mod = 1000000007;
constexpr int mod = 998244353;
#line 2 "library/modint/Modint.hpp"
template <int mod>
struct Modint{
    int x;
    Modint():x(0) {}
    Modint(long long 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;}
    Modint &operator ++() {if(x == mod - 1) x = 0; else x++; return *this;}
    Modint &operator --() {if(x == 0) x = mod - 1; else x--; return *this;} 
    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(long long 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) {
        long long t;
        is >> t;
        a = Modint<mod>(t);
        return (is);
    }
    int get() const { return x; }
    static constexpr int get_mod() {return mod;}
};
#line 86 "main.cpp"
using mint = Modint<mod>;
using vm = vector<mint>;
using vvm = vector<vm>;
using vvvm = vector<vvm>;
vector<mint> fact, fact_inv;
void make_fact(int n){
    fact.resize(n+1), fact_inv.resize(n+1);
    fact[0] = mint(1); rep(i,1,n+1) fact[i] = fact[i-1] * mint(i);
    fact_inv[n] = fact[n].inverse(); rrep(i,0,n) fact_inv[i] = fact_inv[i+1] * mint(i+1);
}
mint ncr(int n, int r){ if(n < 0 || r < 0 || n < r) return mint(0); return fact[n] * fact_inv[r] * fact_inv[n-r];}
mint npr(int n, int r){ if(n < 0 || r < 0 || n < r) return mint(0); return fact[n] * fact_inv[n-r]; }
#line 2 "library/data-structure/FenwickTree.hpp"
template <typename T>
struct FenwickTree{
    int N;
    vector<T> data;
    FenwickTree() = default;
    FenwickTree(int size) {init(size);}

    void init(int size) {
        N = size + 2;
        data.assign(N + 1,{});
    }

    T prod(int k) const {
        if (k < 0) return T{};
        T ret{};
        for (++k;k > 0;k -= k & -k) ret += data[k];
        return ret;
    }

    inline T prod(int l,int r) const {return prod(r - 1) - prod(l - 1);}

    inline T get(int k) const {return prod(k) - prod(k - 1); }

    void add(int k, T x) { 
        for(++k;k < N;k += k & -k) data[k] += x;
    }

    int lower_bound(T w) {
        if (w <= 0) return 0;
        int x = 0;
        for(int k = 1 <<__lg(N);k;k >>= 1) {
            if (x + k <= N - 1 && data[x + k] < w) {
                w -= data[x + k];
                x += k;
            }
        }
        return x;
    }
    
    int upper_bound(T w) {
        if (w < 0) return 0;
        int x = 0;
        for(int k = 1 <<__lg(N);k;k >>= 1) {
            if (x + k <= N - 1 && data[x + k] <= w) {
                w -= data[x + k];
                x += k;
            }
        }
        return x;
    }
};
#line 99 "main.cpp"

template <typename T>
ll inv_number(vector<T> &A) {
    int N = A.size();
    ll ans = 0;
    vector<T> B = A;
    sort(B.begin(),B.end());
    B.erase(unique(B.begin(),B.end()),B.end());
    FenwickTree<int> bit(B.size() + 1);
    for (int i = 0;i < N;i++) {
        int pos = lower_bound(B.begin(),B.end(),A[i]) - B.begin();
        ans += i - bit.prod(pos);
        bit.add(pos,1);
    }
    return ans;
}
int main() {
    INT(n,m);
    make_fact(n);
    vi p(n);
    FenwickTree<int> fw1(n),fw2(n+1);
    rep(i,m) {
        INT(a,b);
        a--;
        p[a] = b;
        fw1.add(a,-1);
        fw2.add(b,-1);
    }
    rep(i,n) {
        fw1.add(i,1);
        fw2.add(i+1,1);
    }
    vi tmp;
    rep(i,n) if(p[i]) tmp.emplace_back(p[i]);
    ll c = inv_number(tmp);
    mint ans = npr(n-m,n-m) * c;
    ans += mint(n-m) * (n-m-1) / 4 * npr(n-m,n-m);
    rep(i,n) {
        if(p[i]) {
            int LC = fw1.prod(0,i);
            int HP = fw2.prod(p[i],n+1);
            ans += mint(LC) * HP * npr(n-m-1,n-m-1);
            int RC = fw1.prod(i,n);
            int LP = fw2.prod(0,p[i]);
            ans += mint(RC) * LP * npr(n-m-1,n-m-1); 
        }
    }
    cout << ans << '\n';
}
0