結果

問題 No.1300 Sum of Inversions
ユーザー rniyarniya
提出日時 2020-11-27 21:42:45
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 246 ms / 2,000 ms
コード長 7,711 bytes
コンパイル時間 2,569 ms
コンパイル使用メモリ 218,060 KB
実行使用メモリ 16,564 KB
最終ジャッジ日時 2024-07-26 12:04:27
合計ジャッジ時間 9,190 ms
ジャッジサーバーID
（参考情報） 		judge1 / 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
6,812 KB
testcase_01 AC 2 ms
6,940 KB
testcase_02 AC 2 ms
6,944 KB
testcase_03 AC 184 ms
13,308 KB
testcase_04 AC 168 ms
13,148 KB
testcase_05 AC 139 ms
11,544 KB
testcase_06 AC 219 ms
14,680 KB
testcase_07 AC 196 ms
14,248 KB
testcase_08 AC 224 ms
15,364 KB
testcase_09 AC 217 ms
15,312 KB
testcase_10 AC 110 ms
10,088 KB
testcase_11 AC 114 ms
10,024 KB
testcase_12 AC 184 ms
13,260 KB
testcase_13 AC 178 ms
12,944 KB
testcase_14 AC 246 ms
16,368 KB
testcase_15 AC 218 ms
15,112 KB
testcase_16 AC 175 ms
13,744 KB
testcase_17 AC 101 ms
9,796 KB
testcase_18 AC 124 ms
10,908 KB
testcase_19 AC 149 ms
12,156 KB
testcase_20 AC 152 ms
12,304 KB
testcase_21 AC 150 ms
12,280 KB
testcase_22 AC 139 ms
11,532 KB
testcase_23 AC 202 ms
14,656 KB
testcase_24 AC 145 ms
11,740 KB
testcase_25 AC 118 ms
10,460 KB
testcase_26 AC 115 ms
10,496 KB
testcase_27 AC 125 ms
11,212 KB
testcase_28 AC 220 ms
15,572 KB
testcase_29 AC 146 ms
12,100 KB
testcase_30 AC 219 ms
15,292 KB
testcase_31 AC 138 ms
11,588 KB
testcase_32 AC 144 ms
11,804 KB
testcase_33 AC 22 ms
6,944 KB
testcase_34 AC 35 ms
6,940 KB
testcase_35 AC 140 ms
16,564 KB
testcase_36 AC 144 ms
16,524 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 # 

#include <bits/stdc++.h>
using namespace std;
// const long long MOD=1000000007;
const long long MOD=998244353;
#define LOCAL
#pragma region Macros
typedef long long ll;
typedef __int128_t i128;
typedef unsigned int uint;
typedef unsigned long long ull;
#define ALL(x) (x).begin(),(x).end()
const int INF=1e9;
const long long IINF=1e18;
const int dx[4]={1,0,-1,0},dy[4]={0,1,0,-1};
const char dir[4]={'D','R','U','L'};

template<typename T>
istream &operator>>(istream &is,vector<T> &v){
    for (T &x:v) is >> x;
    return is;
}
template<typename T>
ostream &operator<<(ostream &os,const vector<T> &v){
    for (int i=0;i<v.size();++i){
        os << v[i] << (i+1==v.size()?"": " ");
    }
    return os;
}
template<typename T,typename U>
ostream &operator<<(ostream &os,const pair<T,U> &p){
    os << '(' << p.first << ',' << p.second << ')';
    return os;
}
template<typename T,typename U,typename V>
ostream&operator<<(ostream &os,const tuple<T,U,V> &t){
    os << '(' << get<0>(t) << ',' << get<1>(t) << ',' << get<2>(t) << ')';
    return os;
}
template<typename T,typename U,typename V,typename W>
ostream&operator<<(ostream &os,const tuple<T,U,V,W> &t){
    os << '(' << get<0>(t) << ',' << get<1>(t) << ',' << get<2>(t) << ',' << get<3>(t) << ')';
    return os;
}
template<typename T,typename U>
ostream &operator<<(ostream &os,const map<T,U> &m){
    os << '{';
    for (auto itr=m.begin();itr!=m.end();){
        os << '(' << itr->first << ',' << itr->second << ')';
        if (++itr!=m.end()) os << ',';
    }
    os << '}';
    return os;
}
template<typename T,typename U>
ostream &operator<<(ostream &os,const unordered_map<T,U> &m){
    os << '{';
    for (auto itr=m.begin();itr!=m.end();){
        os << '(' << itr->first << ',' << itr->second << ')';
        if (++itr!=m.end()) os << ',';
    }
    os << '}';
    return os;
}
template<typename T>
ostream &operator<<(ostream &os,const set<T> &s){
    os << '{';
    for (auto itr=s.begin();itr!=s.end();){
        os << *itr;
        if (++itr!=s.end()) os << ',';
    }
    os << '}';
    return os;
}
template<typename T>
ostream &operator<<(ostream &os,const multiset<T> &s){
    os << '{';
    for (auto itr=s.begin();itr!=s.end();){
        os << *itr;
        if (++itr!=s.end()) os << ',';
    }
    os << '}';
    return os;
}
template<typename T>
ostream &operator<<(ostream &os,const unordered_set<T> &s){
    os << '{';
    for (auto itr=s.begin();itr!=s.end();){
        os << *itr;
        if (++itr!=s.end()) os << ',';
    }
    os << '}';
    return os;
}
template<typename T>
ostream &operator<<(ostream &os,const deque<T> &v){
    for (int i=0;i<v.size();++i){
        os << v[i] << (i+1==v.size()?"": " ");
    }
    return os;
}

void debug_out(){cerr << '\n';}
template<class Head,class... Tail>
void debug_out(Head&& head,Tail&&... tail){
    cerr << head;
    if (sizeof...(Tail)>0) cerr << ", ";
    debug_out(move(tail)...);
}
#ifdef LOCAL
#define debug(...) cerr << " ";\
cerr << #__VA_ARGS__ << " :[" << __LINE__ << ":" << __FUNCTION__ << "]" << '\n';\
cerr << " ";\
debug_out(__VA_ARGS__)
#else
#define debug(...) 42
#endif

template<typename T> T gcd(T x,T y){return y!=0?gcd(y,x%y):x;}
template<typename T> T lcm(T x,T y){return x/gcd(x,y)*y;}

template<class T1,class T2> inline bool chmin(T1 &a,T2 b){
    if (a>b){a=b; return true;} return false;
}
template<class T1,class T2> inline bool chmax(T1 &a,T2 b){
    if (a<b){a=b; return true;} return false;
}
#pragma endregion

template<uint32_t mod> class modint{
    using i64=int64_t;
    using u32=uint32_t;
    using u64=uint64_t;
public:
    u32 v;
    constexpr modint(const i64 x=0) noexcept :v(x<0?mod-1-(-(x+1)%mod):x%mod){}
    constexpr u32 &value() noexcept {return v;}
    constexpr const u32 &value() const noexcept {return v;}
    constexpr modint operator+(const modint &rhs) const noexcept {return modint(*this)+=rhs;}
    constexpr modint operator-(const modint &rhs) const noexcept {return modint(*this)-=rhs;}
    constexpr modint operator*(const modint &rhs) const noexcept {return modint(*this)*=rhs;}
    constexpr modint operator/(const modint &rhs) const noexcept {return modint(*this)/=rhs;}
    constexpr modint &operator+=(const modint &rhs) noexcept {
        v+=rhs.v;
        if (v>=mod) v-=mod;
        return *this;
    }
    constexpr modint &operator-=(const modint &rhs) noexcept {
        if (v<rhs.v) v+=mod;
        v-=rhs.v;
        return *this;
    }
    constexpr modint &operator*=(const modint &rhs) noexcept {
        v=(u64)v*rhs.v%mod;
        return *this;
    }
    constexpr modint &operator/=(const modint &rhs) noexcept {
        return *this*=rhs.pow(mod-2);
    }
    constexpr modint pow(u64 exp) const noexcept {
        modint self(*this),res(1);
        while (exp>0){
            if (exp&1) res*=self;
            self*=self; exp>>=1;
        }
        return res;
    }
    constexpr modint &operator++() noexcept {if (++v==mod) v=0; return *this;}
    constexpr modint &operator--() noexcept {if (v==0) v=mod; return --v,*this;}
    constexpr modint operator++(int) noexcept {modint t=*this; return ++*this,t;}
    constexpr modint operator--(int) noexcept {modint t=*this; return --*this,t;}
    constexpr modint operator-() const noexcept {return modint(mod-v);}
    template<class T> friend constexpr modint operator+(T x,modint y) noexcept {return modint(x)+y;}
    template<class T> friend constexpr modint operator-(T x,modint y) noexcept {return modint(x)-y;}
    template<class T> friend constexpr modint operator*(T x,modint y) noexcept {return modint(x)*y;}
    template<class T> friend constexpr modint operator/(T x,modint y) noexcept {return modint(x)/y;}
    constexpr bool operator==(const modint &rhs) const noexcept {return v==rhs.v;}
    constexpr bool operator!=(const modint &rhs) const noexcept {return v!=rhs.v;}
    constexpr bool operator!() const noexcept {return !v;}
    friend istream &operator>>(istream &s,modint &rhs) noexcept {
        i64 v; rhs=modint{(s>>v,v)}; return s;
    }
    friend ostream &operator<<(ostream &s,const modint &rhs) noexcept {
        return s<<rhs.v;
    }
};

using mint=modint<MOD>;

template<typename T>
class BinaryIndexedTree{
    T sum(int i){
        T res=T();
        for (;i>0;i-=(i&-i)) res+=dat[i];
        return res;
    }
public:
    int n;
    vector<T> dat;
    BinaryIndexedTree(int n_):n(n_+1),dat(n+1,0){}
    void add(int i,const T &x){
        for (++i;i<=n;i+=(i&-i)) dat[i]+=x;
    }
    T query(int l,int r){return sum(r)-sum(l);}
    int lower_bound(T x) const {
        if (x<=0) return 0;
        int pos=0,k=1;
        while (k<n) k<<=1;
        for (;k>0;k>>=1){
            if (pos+k<=n&&dat[pos+k]<x){
                x-=dat[pos+k]; pos+=k;
            }
        }
        return pos;
    }
    int upper_bound(T x) const {return lower_bound(x+1);}
    T operator[](int i){return query(i,i+1);}
};

template<typename T> map<T,int> compress(vector<T> v){
    sort(v.begin(),v.end());
    v.erase(unique(v.begin(),v.end()),v.end());
    map<T,int> res;
    for (int i=0;i<v.size();++i) res[v[i]]=i;
    return res;
}

int main(){
    cin.tie(0);
    ios::sync_with_stdio(false);
    int N; cin >> N;
    vector<int> A(N); cin >> A;

    map<int,int> mp=compress(A);
    int n=mp.size();
    BinaryIndexedTree<mint> BIT0_sum(n),BIT0_cnt(n),BIT1_sum(n),BIT1_cnt(n);
    mint ans=0;
    for (int i=0;i<N;++i){
        int x=mp[A[i]];
        ans+=BIT1_sum.query(x+1,n)+BIT1_cnt.query(x+1,n)*A[i];
        BIT1_sum.add(x,BIT0_sum.query(x+1,n)+BIT0_cnt.query(x+1,n)*A[i]);
        BIT1_cnt.add(x,BIT0_cnt.query(x+1,n));
        BIT0_sum.add(x,A[i]);
        BIT0_cnt.add(x,1);
    }

    cout << ans << '\n';
}
0