結果

問題 No.1733 Sum of Sorted Subarrays
ユーザー LayCurse
提出日時 2021-11-05 22:06:53
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 224 ms / 3,000 ms
コード長 9,991 bytes
コンパイル時間 3,950 ms
コンパイル使用メモリ 228,136 KB
最終ジャッジ日時 2025-01-25 12:20:27
ジャッジサーバーID
（参考情報） 		judge2 / judge4
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ファイルパターン 結果
sample AC * 3
other AC * 24
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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")
#pragma GCC optimize("unroll-loops")
#pragma GCC optimize("inline")
#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, class T2> void sortA_index_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++){
    b[i] = i;
  }
  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++(){
    val++;
    if(val >= MD){
      val -= MD;
    }
    return *this;
  }
  inline Modint &operator--(){
    if(val == 0){
      val = MD - 1;
    }
    else{
      --val;
    }
    return *this;
  }
  inline Modint operator++(int a){
    Modint res(*this);
    val++;
    if(val >= MD){
      val -= MD;
    }
    return res;
  }
  inline Modint operator--(int a){
    Modint res(*this);
    if(val == 0){
      val = MD - 1;
    }
    else{
      --val;
    }
    return res;
  }
  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 segtree_ph{
  int N;
  int logN;
  T*val;
  void malloc(int maxN, int once = 0);
  void walloc(int maxN, int once = 0, void **mem = &wmem);
  void free(void);
  T& operator[](int i);
  void setN(int n, int zerofill = 1, int dobuild = 1);
  void build(void);
  inline void build(int a);
  inline void change(int a, T v);
  inline T get(int a, int b);
}
;
struct sval{
  Modint m;
  Modint s;
}
;
sval segtree_ph_func(sval a, sval b){
  return {a.m*b.m, b.s*a.m+a.s};
}
segtree_ph<sval> t1;
segtree_ph<sval> t2;
int main(){
  wmem = memarr;
  int N;
  rd(N);
  int A[N];
  {
    int Lj4PdHRW;
    for(Lj4PdHRW=(0);Lj4PdHRW<(N);Lj4PdHRW++){
      rd(A[Lj4PdHRW]);
    }
  }
  int ind[N];
  int i;
  int k;
  Modint res = 0;
  Modint tmp;
  t1.walloc(N);
  t2.walloc(N);
  t1.setN(N);
  t2.setN(N);
  for(i=(0);i<(N);i++){
    t1[i] = t2[i] = {1,1};
  }
  t1.build();
  t2.build();
  sortA_index_L(N,A,ind);
  for(k=(0);k<(N);k++){
    i = ind[k];
    tmp = 1;
    tmp *= t1.get(i,N).s;
    tmp *= t2.get(N-i-1,N).s;
    res += A[k] * tmp;
    t1.change(i, {2,2});
    t2.change(N-1-i, {2,2});
  }
  wt_L(res);
  wt_L('\n');
  return 0;
}
template<class T> void segtree_ph<T>::malloc(int maxN, int once /*= 0*/){
  int i;
  for(i=1;i<maxN;i*=2){
    ;
  }
  val = new T[2*i];
  if(once){
    setN(maxN);
  }
}
template<class T> void segtree_ph<T>::walloc(int maxN, int once /*= 0*/, void **mem /*= &wmem*/){
  int i;
  for(i=1;i<maxN;i*=2){
    ;
  }
  walloc1d(&val, 2*i, mem);
  if(once){
    setN(maxN);
  }
}
template<class T> void segtree_ph<T>::free(void){
  delete [] val;
}
template<class T> T& segtree_ph<T>::operator[](int i){
  return val[N+i];
}
template<class T> void segtree_ph<T>::setN(int n, int zerofill /*= 1*/, int dobuild /*= 1*/){
  int i;
  for(i=1,logN=0;i<n;i*=2,logN++){
    ;
  }
  N = i;
  if(dobuild){
    build();
  }
}
template<class T> void segtree_ph<T>::build(void){
  for(int i=N-1;i;i--){
    val[i] = segtree_ph_func(val[2*i], val[2*i+1]);
  }
}
template<class T> inline void segtree_ph<T>::build(int a){
  while(a > 1){
    a /= 2;
    val[a] = segtree_ph_func(val[2*a], val[2*a+1]);
  }
}
template<class T> inline void segtree_ph<T>::change(int a, T v){
  val[a+N] = v;
  build(a+N);
}
template<class T> inline T segtree_ph<T>::get(int a, int b){
  T res;
  T tmp;
  int fga = 0;
  int fgb = 0;
  a += N;
  b += N;
  while(a < b){
    if(a%2){
      if(fga){
        res = segtree_ph_func(res, val[a]);
      }
      else{
        res = val[a];
        fga = 1;
      }
      a++;
    }
    if(b%2){
      b--;
      if(fgb){
        tmp = segtree_ph_func(val[b], tmp);
      }
      else{
        tmp = val[b];
        fgb = 1;
      }
    }
    a /= 2;
    b /= 2;
  }
  if(fga==1 && fgb==0){
    return res;
  }
  if(fga==0 && fgb==1){
    return tmp;
  }
  if(fga==1 && fgb==1){
    return segtree_ph_func(res, tmp);
  }
  return res;
}
// cLay version 20211024-1
// --- original code ---
// #define MD 998244353
// struct sval {Modint m, s;};
// sval segtree_ph_func(sval a, sval b){ return {a.m*b.m, b.s*a.m+a.s}; }
// segtree_ph<sval> t1, t2;
// {
//   int @N, @A[N], ind[N], i, k;
//   Modint res = 0, tmp;
//   t1.walloc(N); t2.walloc(N);
//   t1.setN(N); t2.setN(N);
//   rep(i,N) t1[i] = t2[i] = {1,1};
//   t1.build(); t2.build();
//   sortA_index(N,A,ind);
//   rep(k,N){
//     i = ind[k];
//     tmp = 1;
//     tmp *= t1.get(i,N).s;
//     tmp *= t2.get(N-i-1,N).s;
//     res += A[k] * tmp;
//     // wt(ind[i],A[k],tmp,t1.get(i,N).s,t2.get(N-i,N).s);
//     t1.change(i, {2,2});
//     t2.change(N-1-i, {2,2});
//   }
//   wt(res);
// }
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