結果

問題 No.1294 マウンテン数列
ユーザー LayCurseLayCurse
提出日時 2020-11-20 23:19:30
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 35 ms / 2,000 ms
コード長 6,747 bytes
コンパイル時間 2,826 ms
コンパイル使用メモリ 211,852 KB
実行使用メモリ 4,500 KB
最終ジャッジ日時 2023-09-30 20:04:06
合計ジャッジ時間 3,680 ms
ジャッジサーバーID
(参考情報)
judge13 / judge14
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
4,376 KB
testcase_01 AC 2 ms
4,380 KB
testcase_02 AC 1 ms
4,376 KB
testcase_03 AC 1 ms
4,376 KB
testcase_04 AC 2 ms
4,376 KB
testcase_05 AC 6 ms
4,380 KB
testcase_06 AC 8 ms
4,380 KB
testcase_07 AC 2 ms
4,380 KB
testcase_08 AC 2 ms
4,380 KB
testcase_09 AC 2 ms
4,500 KB
testcase_10 AC 34 ms
4,380 KB
testcase_11 AC 34 ms
4,376 KB
testcase_12 AC 34 ms
4,376 KB
testcase_13 AC 35 ms
4,376 KB
testcase_14 AC 34 ms
4,384 KB
testcase_15 AC 32 ms
4,376 KB
testcase_16 AC 34 ms
4,380 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 #

#pragma GCC optimize ("Ofast")
#include<bits/stdc++.h>
using namespace std;
#define MD (998244353U)
template<class S, class T> inline S max_L(S a,T b){
  return a>=b?a:b;
}
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);
}
int N;
int A[2501];
int samx[2501];
int go[2501];
Modint dp[2501];
Modint dps[2501];
Modint cnt[2501];
int main(){
  int h, i;
  Modint res = 0;
  rd(N);
  {
    int Lj4PdHRW;
    for(Lj4PdHRW=(0);Lj4PdHRW<(N);Lj4PdHRW++){
      rd(A[Lj4PdHRW]);
    }
  }
  for(i=(1);i<(N);i++){
    samx[i] =max_L(samx[i-1], A[i] - A[i-1]);
  }
  for(i=(0);i<(N);i++){
    go[i] = i;
  }
  for(h=(1);h<(2501);h++){
    if(A[N-1]-A[N-2] <= h){
      dp[0] = 0;
      dps[0] = 0;
      for(i=(0);i<(N-1);i++){
        dp[i+1] = 0;
        while(go[i+1] > 1 && A[i+1] - A[go[i+1]-2] <= h){
          go[i+1]--;
        }
        dp[i+1] += dps[i] - dps[go[i+1]-1];
        if(samx[i] <= h){
          dp[i+1] += 1;
        }
        dps[i+1] = dps[i] + dp[i+1];
      }
      cnt[h] = dp[N-1];
    }
  }
  for(i=(1);i<(2501);i++){
    res += i * (cnt[i] - cnt[i-1]);
  }
  wt_L(res * 2);
  wt_L('\n');
  return 0;
}
// cLay version 20201120-1 [beta]

// --- original code ---
// #define MD 998244353
// int N, A[2501], samx[2501], go[2501];
// Modint dp[2501], dps[2501], cnt[2501];
// {
//   Modint res = 0;
//   rd(N,A(N));
// 
//   rep(i,1,N) samx[i] = max(samx[i-1], A[i] - A[i-1]);
//   rep(i,N) go[i] = i;
// 
//   rep(h,1,2501) if(A[N-1]-A[N-2] <= h){
//     dp[0] = 0;
//     dps[0] = 0;
//     rep(i,N-1){
//       dp[i+1] = 0;
//       while(go[i+1] > 1 && A[i+1] - A[go[i+1]-2] <= h) go[i+1]--;
//       dp[i+1] += dps[i] - dps[go[i+1]-1];
// //      rrep(j,1,i+1) if(A[i+1] - A[j-1] <= h) dp[i+1] += dp[j];
//       if(samx[i] <= h) dp[i+1] += 1;
//       dps[i+1] = dps[i] + dp[i+1];
//     }
//     cnt[h] = dp[N-1];
//   }
//   rep(i,1,2501) res += i * (cnt[i] - cnt[i-1]);
//   wt(res * 2);
// }
0