結果

問題 No.1300 Sum of Inversions
ユーザー LayCurse
提出日時 2020-11-27 21:34:09
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 86 ms / 2,000 ms
コード長 9,877 bytes
コンパイル時間 2,868 ms
コンパイル使用メモリ 221,256 KB
最終ジャッジ日時 2025-01-16 06:38:25
ジャッジサーバーID
（参考情報） 		judge1 / judge5
このコードへのチャレンジ
（要ログイン）
ファイルパターン 結果
sample AC * 3
other AC * 34
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 #
プレゼンテーションモードにする

#pragma GCC optimize ("Ofast")
#include<bits/stdc++.h>
using namespace std;
#define MD (998244353U)
void*wmem;
char memarr[96000000];
template<class T> inline void walloc1d(T **arr, int x, void **mem = &wmem){
  static int skip[16] = {0, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1};
  (*mem) = (void*)( ((char*)(*mem)) + skip[((unsigned long long)(*mem)) & 15] );
  (*arr)=(T*)(*mem);
  (*mem)=((*arr)+x);
}
template<class T> inline void walloc1d(T **arr, int x1, int x2, void **mem = &wmem){
  walloc1d(arr, x2-x1, mem);
  (*arr) -= x1;
}
template<class T1> void sortA_L(int N, T1 a[], void *mem = wmem){
  sort(a, a+N);
}
template<class T1, class T2> void sortA_L(int N, T1 a[], T2 b[], void *mem = wmem){
  int i;
  pair<T1, T2>*arr;
  walloc1d(&arr, N, &mem);
  for(i=(0);i<(N);i++){
    arr[i].first = a[i];
    arr[i].second = b[i];
  }
  sort(arr, arr+N);
  for(i=(0);i<(N);i++){
    a[i] = arr[i].first;
    b[i] = arr[i].second;
  }
}
struct Modint{
  unsigned val;
  Modint(){
    val=0;
  }
  Modint(int a){
    val = ord(a);
  }
  Modint(unsigned a){
    val = ord(a);
  }
  Modint(long long a){
    val = ord(a);
  }
  Modint(unsigned long long a){
    val = ord(a);
  }
  inline unsigned ord(unsigned a){
    return a%MD;
  }
  inline unsigned ord(int a){
    a %= (int)MD;
    if(a < 0){
      a += MD;
    }
    return a;
  }
  inline unsigned ord(unsigned long long a){
    return a%MD;
  }
  inline unsigned ord(long long a){
    a %= (int)MD;
    if(a < 0){
      a += MD;
    }
    return a;
  }
  inline unsigned get(){
    return val;
  }
  inline Modint &operator+=(Modint a){
    val += a.val;
    if(val >= MD){
      val -= MD;
    }
    return *this;
  }
  inline Modint &operator-=(Modint a){
    if(val < a.val){
      val = val + MD - a.val;
    }
    else{
      val -= a.val;
    }
    return *this;
  }
  inline Modint &operator*=(Modint a){
    val = ((unsigned long long)val*a.val)%MD;
    return *this;
  }
  inline Modint &operator/=(Modint a){
    return *this *= a.inverse();
  }
  inline Modint operator+(Modint a){
    return Modint(*this)+=a;
  }
  inline Modint operator-(Modint a){
    return Modint(*this)-=a;
  }
  inline Modint operator*(Modint a){
    return Modint(*this)*=a;
  }
  inline Modint operator/(Modint a){
    return Modint(*this)/=a;
  }
  inline Modint operator+(int a){
    return Modint(*this)+=Modint(a);
  }
  inline Modint operator-(int a){
    return Modint(*this)-=Modint(a);
  }
  inline Modint operator*(int a){
    return Modint(*this)*=Modint(a);
  }
  inline Modint operator/(int a){
    return Modint(*this)/=Modint(a);
  }
  inline Modint operator+(long long a){
    return Modint(*this)+=Modint(a);
  }
  inline Modint operator-(long long a){
    return Modint(*this)-=Modint(a);
  }
  inline Modint operator*(long long a){
    return Modint(*this)*=Modint(a);
  }
  inline Modint operator/(long long a){
    return Modint(*this)/=Modint(a);
  }
  inline Modint operator-(void){
    Modint res;
    if(val){
      res.val=MD-val;
    }
    else{
      res.val=0;
    }
    return res;
  }
  inline operator bool(void){
    return val!=0;
  }
  inline operator int(void){
    return get();
  }
  inline operator long long(void){
    return get();
  }
  inline Modint inverse(){
    int a = val;
    int b = MD;
    int u = 1;
    int v = 0;
    int t;
    Modint res;
    while(b){
      t = a / b;
      a -= t * b;
      swap(a, b);
      u -= t * v;
      swap(u, v);
    }
    if(u < 0){
      u += MD;
    }
    res.val = u;
    return res;
  }
  inline Modint pw(unsigned long long b){
    Modint a(*this);
    Modint res;
    res.val = 1;
    while(b){
      if(b&1){
        res *= a;
      }
      b >>= 1;
      a *= a;
    }
    return res;
  }
  inline bool operator==(int a){
    return ord(a)==val;
  }
  inline bool operator!=(int a){
    return ord(a)!=val;
  }
}
;
inline Modint operator+(int a, Modint b){
  return Modint(a)+=b;
}
inline Modint operator-(int a, Modint b){
  return Modint(a)-=b;
}
inline Modint operator*(int a, Modint b){
  return Modint(a)*=b;
}
inline Modint operator/(int a, Modint b){
  return Modint(a)/=b;
}
inline Modint operator+(long long a, Modint b){
  return Modint(a)+=b;
}
inline Modint operator-(long long a, Modint b){
  return Modint(a)-=b;
}
inline Modint operator*(long long a, Modint b){
  return Modint(a)*=b;
}
inline Modint operator/(long long a, Modint b){
  return Modint(a)/=b;
}
inline int my_getchar_unlocked(){
  static char buf[1048576];
  static int s = 1048576;
  static int e = 1048576;
  if(s == e && e == 1048576){
    e = fread_unlocked(buf, 1, 1048576, stdin);
    s = 0;
  }
  if(s == e){
    return EOF;
  }
  return buf[s++];
}
inline void rd(int &x){
  int k;
  int m=0;
  x=0;
  for(;;){
    k = my_getchar_unlocked();
    if(k=='-'){
      m=1;
      break;
    }
    if('0'<=k&&k<='9'){
      x=k-'0';
      break;
    }
  }
  for(;;){
    k = my_getchar_unlocked();
    if(k<'0'||k>'9'){
      break;
    }
    x=x*10+k-'0';
  }
  if(m){
    x=-x;
  }
}
struct MY_WRITER{
  char buf[1048576];
  int s;
  int e;
  MY_WRITER(){
    s = 0;
    e = 1048576;
  }
  ~MY_WRITER(){
    if(s){
      fwrite_unlocked(buf, 1, s, stdout);
    }
  }
}
;
MY_WRITER MY_WRITER_VAR;
void my_putchar_unlocked(int a){
  if(MY_WRITER_VAR.s == MY_WRITER_VAR.e){
    fwrite_unlocked(MY_WRITER_VAR.buf, 1, MY_WRITER_VAR.s, stdout);
    MY_WRITER_VAR.s = 0;
  }
  MY_WRITER_VAR.buf[MY_WRITER_VAR.s++] = a;
}
inline void wt_L(char a){
  my_putchar_unlocked(a);
}
inline void wt_L(int x){
  int s=0;
  int m=0;
  char f[10];
  if(x<0){
    m=1;
    x=-x;
  }
  while(x){
    f[s++]=x%10;
    x/=10;
  }
  if(!s){
    f[s++]=0;
  }
  if(m){
    my_putchar_unlocked('-');
  }
  while(s--){
    my_putchar_unlocked(f[s]+'0');
  }
}
inline void wt_L(Modint x){
  int i;
  i = (int)x;
  wt_L(i);
}
template<class T> struct fenwick{
  int size;
  int memory;
  T*data;
  void malloc(int mem);
  void malloc(int mem, int fg);
  void walloc(int mem, void **workMemory = &wmem);
  void walloc(int mem, int fg, void **workMemory = &wmem);
  void free(void);
  void init(int N);
  void add(int k, T val);
  T get(int k);
  T range(int a, int b);
  int kth(T k);
}
;
int N;
int A[200000];
int val[200000];
int ind[200000];
fenwick<int> t1;
fenwick<int> t2;
fenwick<Modint> f1;
fenwick<Modint> f2;
int main(){
  wmem = memarr;
  int i;
  int j;
  int k;
  long long tmp1;
  long long tmp2;
  Modint res = 0;
  rd(N);
  {
    int Lj4PdHRW;
    for(Lj4PdHRW=(0);Lj4PdHRW<(N);Lj4PdHRW++){
      rd(A[Lj4PdHRW]);
    }
  }
  t1.walloc(N,1);
  t2.walloc(N,1);
  f1.walloc(N,1);
  f2.walloc(N,1);
  for(i=(0);i<(N);i++){
    {
      auto RZTsC2BF = (A[i]);
      auto FmcKpFmN = ( i);
      val[i] = RZTsC2BF;
      ind[i] = FmcKpFmN;
    }
  }
  sortA_L(N, A, ind);
  for(i=(0);i<(N);i++){
    t1.add(i,1);
  }
  for(i=(0);i<(N);i++){
    f1.add(ind[i],A[i]);
  }
  i = 0;
  for(k=(0);k<(N);k++){
    j = i;
    while(i < N && A[i]==A[k]){
      t1.add(ind[i],-1);
      f1.add(ind[i],-A[i]);
      i++;
    }
    i = j;
    while(i < N && A[i]==A[k]){
      tmp1 = t1.get(ind[i]-1);
      tmp2 = t2.range(ind[i]+1,N-1);
      res += Modint(A[i]) * tmp1 * tmp2;
      res += f1.get(ind[i]-1) * tmp2;
      res += f2.range(ind[i]+1,N-1) * tmp1;
      i++;
    }
    i = j;
    while(i < N && A[i]==A[k]){
      t2.add(ind[i],1);
      f2.add(ind[i],A[i]);
      i++;
    }
  }
  wt_L(res);
  wt_L('\n');
  return 0;
}
template<class T> void fenwick<T>::malloc(int mem){
  memory = mem;
  data = (T*)std::malloc(sizeof(T)*mem);
}
template<class T> void fenwick<T>::malloc(int mem, int fg){
  memory = mem;
  data = (T*)std::malloc(sizeof(T)*mem);
  if(fg){
    init(mem);
  }
}
template<class T> void fenwick<T>::walloc(int mem, void **workMemory /* = &wmem*/){
  memory = mem;
  walloc1d(&data, mem, workMemory);
}
template<class T> void fenwick<T>::walloc(int mem, int fg, void **workMemory /* = &wmem*/){
  memory = mem;
  walloc1d(&data, mem, workMemory);
  if(fg){
    init(mem);
  }
}
template<class T> void fenwick<T>::free(void){
  memory = 0;
  free(data);
}
template<class T> void fenwick<T>::init(int N){
  size = N;
  memset(data,0,sizeof(T)*N);
}
template<class T> void fenwick<T>::add(int k, T val){
  while(k < size){
    data[k] += val;
    k |= k+1;
  }
}
template<class T> T fenwick<T>::get(int k){
  T res = 0;
  while(k>=0){
    res += data[k];
    k = (k&(k+1))-1;
  }
  return res;
}
template<class T> T fenwick<T>::range(int a, int b){
  if(b==-1){
    b=size-1;
  }
  return get(b) - get(a-1);
}
template<class T> int fenwick<T>::kth(T k){
  int i=0;
  int j=size;
  int c;
  T v;
  while(i<j){
    c = (i+j)/2;
    v = get(c);
    if(v <= k){
      i=c+1;
    }
    else{
      j=c;
    }
  }
  return i==size?-1:i;
}
// cLay version 20201123-1
// --- original code ---
// #define MD 998244353
// int N, A[2d5];
// int val[2d5], ind[2d5];
// fenwick<int> t1, t2;
// fenwick<Modint> f1,f2;
// {
//   int i, j, k;
//   ll tmp1, tmp2;
//   Modint res = 0;
//   rd(N,A(N));
//   t1.walloc(N,1);
//   t2.walloc(N,1);
//   f1.walloc(N,1);
//   f2.walloc(N,1);
//   rep(i,N) (val[i], ind[i]) = (A[i], i);
//   sortA(N, A, ind);
// 
//   rep(i,N) t1.add(i,1);
//   rep(i,N) f1.add(ind[i],A[i]);
//   i = 0;
//   rep(k,N){
//     j = i;
//     while(i < N && A[i]==A[k]){
//       t1.add(ind[i],-1);
//       f1.add(ind[i],-A[i]);
//       i++;
//     }
//     i = j;
//     while(i < N && A[i]==A[k]){
//       tmp1 = t1.get(ind[i]-1);
//       tmp2 = t2.range(ind[i]+1,N-1);
//       res += Modint(A[i]) * tmp1 * tmp2;
//       res += f1.get(ind[i]-1) * tmp2;
//       res += f2.range(ind[i]+1,N-1) * tmp1;
//       // wt(ind[i],A[i],":",tmp1,tmp2,":",res);
//       i++;
//     }
//     i = j;
//     while(i < N && A[i]==A[k]){
//       t2.add(ind[i],1);
//       f2.add(ind[i],A[i]);
//       i++;
//     }
//   }
// 
//   wt(res);
// }
הההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההה
XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
0