結果

問題 No.2369 Some Products
コンテスト
ユーザー momoyuu
提出日時 2023-10-26 12:26:24
言語 C++23
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 148 ms / 2,500 ms
コード長 7,733 bytes
コンパイル時間 3,593 ms
コンパイル使用メモリ 263,500 KB
実行使用メモリ 69,504 KB
最終ジャッジ日時 2024-09-25 12:22:39
合計ジャッジ時間 4,941 ms
ジャッジサーバーID
（参考情報） 		judge3 / judge2
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ファイルパターン 結果
sample AC * 1
other AC * 14
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;
using ll = long long;

#include<atcoder/modint>
using mint = atcoder::modint998244353;

#line 2 "misc/fastio.hpp"

#include <cstdio>
#include <cstring>
#include <string>
#include <type_traits>
#include <utility>

using namespace std;

#line 2 "internal/internal-type-traits.hpp"

#line 4 "internal/internal-type-traits.hpp"
using namespace std;

namespace internal {
template <typename T>
using is_broadly_integral =
    typename conditional_t<is_integral_v<T> || is_same_v<T, __int128_t> ||
                               is_same_v<T, __uint128_t>,
                           true_type, false_type>::type;

template <typename T>
using is_broadly_signed =
    typename conditional_t<is_signed_v<T> || is_same_v<T, __int128_t>,
                           true_type, false_type>::type;

template <typename T>
using is_broadly_unsigned =
    typename conditional_t<is_unsigned_v<T> || is_same_v<T, __uint128_t>,
                           true_type, false_type>::type;

#define ENABLE_VALUE(x) \
  template <typename T> \
  constexpr bool x##_v = x<T>::value;

ENABLE_VALUE(is_broadly_integral);
ENABLE_VALUE(is_broadly_signed);
ENABLE_VALUE(is_broadly_unsigned);
#undef ENABLE_VALUE

#define ENABLE_HAS_TYPE(var)                                   \
  template <class, class = void>                               \
  struct has_##var : false_type {};                            \
  template <class T>                                           \
  struct has_##var<T, void_t<typename T::var>> : true_type {}; \
  template <class T>                                           \
  constexpr auto has_##var##_v = has_##var<T>::value;

#define ENABLE_HAS_VAR(var)                                     \
  template <class, class = void>                                \
  struct has_##var : false_type {};                             \
  template <class T>                                            \
  struct has_##var<T, void_t<decltype(T::var)>> : true_type {}; \
  template <class T>                                            \
  constexpr auto has_##var##_v = has_##var<T>::value;

}  // namespace internal
#line 12 "misc/fastio.hpp"

namespace fastio {
static constexpr int SZ = 1 << 17;
static constexpr int offset = 64;
char inbuf[SZ], outbuf[SZ];
int in_left = 0, in_right = 0, out_right = 0;

struct Pre {
  char num[40000];
  constexpr Pre() : num() {
    for (int i = 0; i < 10000; i++) {
      int n = i;
      for (int j = 3; j >= 0; j--) {
        num[i * 4 + j] = n % 10 + '0';
        n /= 10;
      }
    }
  }
} constexpr pre;

void load() {
  int len = in_right - in_left;
  memmove(inbuf, inbuf + in_left, len);
  in_right = len + fread(inbuf + len, 1, SZ - len, stdin);
  in_left = 0;
}
void flush() {
  fwrite(outbuf, 1, out_right, stdout);
  out_right = 0;
}
void skip_space() {
  if (in_left + offset > in_right) load();
  while (inbuf[in_left] <= ' ') in_left++;
}

void single_read(char& c) {
  if (in_left + offset > in_right) load();
  skip_space();
  c = inbuf[in_left++];
}
void single_read(string& S) {
  skip_space();
  while (true) {
    if (in_left == in_right) load();
    int i = in_left;
    for (; i != in_right; i++) {
      if (inbuf[i] <= ' ') break;
    }
    copy(inbuf + in_left, inbuf + i, back_inserter(S));
    in_left = i;
    if (i != in_right) break;
  }
}
template <typename T,
          enable_if_t<internal::is_broadly_integral_v<T>>* = nullptr>
void single_read(T& x) {
  if (in_left + offset > in_right) load();
  skip_space();
  char c = inbuf[in_left++];
  [[maybe_unused]] bool minus = false;
  if constexpr (internal::is_broadly_signed_v<T>) {
    if (c == '-') minus = true, c = inbuf[in_left++];
  }
  x = 0;
  while (c >= '0') {
    x = x * 10 + (c & 15);
    c = inbuf[in_left++];
  }
  if constexpr (internal::is_broadly_signed_v<T>) {
    if (minus) x = -x;
  }
}
void rd() {}
template <typename Head, typename... Tail>
void rd(Head& head, Tail&... tail) {
  single_read(head);
  rd(tail...);
}

void single_write(const char& c) {
  if (out_right > SZ - offset) flush();
  outbuf[out_right++] = c;
}
void single_write(const bool& b) {
  if (out_right > SZ - offset) flush();
  outbuf[out_right++] = b ? '1' : '0';
}
void single_write(const string& S) {
  flush(), fwrite(S.data(), 1, S.size(), stdout);
}
void single_write(const char* p) { flush(), fwrite(p, 1, strlen(p), stdout); }
template <typename T,
          enable_if_t<internal::is_broadly_integral_v<T>>* = nullptr>
void single_write(const T& _x) {
  if (out_right > SZ - offset) flush();
  if (_x == 0) {
    outbuf[out_right++] = '0';
    return;
  }
  T x = _x;
  if constexpr (internal::is_broadly_signed_v<T>) {
    if (x < 0) outbuf[out_right++] = '-', x = -x;
  }
  constexpr int buffer_size = sizeof(T) * 10 / 4;
  char buf[buffer_size];
  int i = buffer_size;
  while (x >= 10000) {
    i -= 4;
    memcpy(buf + i, pre.num + (x % 10000) * 4, 4);
    x /= 10000;
  }
  if (x < 100) {
    if (x < 10) {
      outbuf[out_right] = '0' + x;
      ++out_right;
    } else {
      uint32_t q = (uint32_t(x) * 205) >> 11;
      uint32_t r = uint32_t(x) - q * 10;
      outbuf[out_right] = '0' + q;
      outbuf[out_right + 1] = '0' + r;
      out_right += 2;
    }
  } else {
    if (x < 1000) {
      memcpy(outbuf + out_right, pre.num + (x << 2) + 1, 3);
      out_right += 3;
    } else {
      memcpy(outbuf + out_right, pre.num + (x << 2), 4);
      out_right += 4;
    }
  }
  memcpy(outbuf + out_right, buf + i, buffer_size - i);
  out_right += buffer_size - i;
}
void wt() {}
template <typename Head, typename... Tail>
void wt(const Head& head, const Tail&... tail) {
  single_write(head);
  wt(forward<const Tail>(tail)...);
}
template <typename... Args>
void wtn(const Args&... x) {
  wt(forward<const Args>(x)...);
  wt('\n');
}

struct Dummy {
  Dummy() { atexit(flush); }
} dummy;

}  // namespace fastio
using fastio::rd;
using fastio::skip_space;
using fastio::wt;
using fastio::wtn;
mint ans[5010];
mint p[5010];
int le[5010],ri[5010],k[5010];

void solve(int l,int r,vector<int>&idx){
    if(r-l==1){
        for(int i = 0;i<idx.size();i++){
            int ni = idx[i];
            ans[ni] = p[l];
        }
        return;
    }
    int mid = (r+l)>>1;
    vector<vector<mint>> left(mid-l+1,vector<mint>(mid-l+1,0));
    vector<vector<mint>> right(r-mid+1,vector<mint>(r-mid+1,0));
    left[mid-l][0] = 1;
    for(int i = mid-1;i>=l;i--){
        int ni = i - l;
        for(int j = mid-l;j>=0;j--){
            left[ni][j] = left[ni+1][j];
            if(j-1>=0) left[ni][j] += left[ni+1][j-1] * p[i];
        }
    }
    right[0][0] = 1;
    for(int i = mid;i<r;i++){
        int ni = i - mid + 1;
        for(int j = r-mid;j>=0;j--){
            right[ni][j] = right[ni-1][j];
            if(j-1>=0) right[ni][j] += right[ni-1][j-1] * p[i];
        }
    }
    vector<int> ls,rs;
    for(int i = 0;i<idx.size();i++){
        int ni = idx[i];
        if(ri[ni]<=mid) ls.push_back(ni);
        else if(mid<=le[ni]) rs.push_back(ni);
        else{
            for(int j = 0;j<=k[ni];j++){
                int nni = le[ni] - l;
                int nnj = ri[ni] - mid;
                if(j>=mid-l+1||k[ni]-j>=r-mid+1) continue;
                ans[ni] += left[nni][j] * right[nnj][k[ni]-j];
            }
        }
    }
    solve(l,mid,ls);
    solve(mid,r,rs);
}

int main(){
    cin.tie(nullptr);
    ios::sync_with_stdio(false); 

    int n;
    rd(n);
    for(int i = 0;i<n;i++){
        ll a;
        rd(a);
        p[i] = a;
    }
    int q;
    rd(q);
    vector<int> idx(q);
    for(int i = 0;i<q;i++){
        idx[i] = i;
        rd(le[i],ri[i],k[i]);
        le[i]--;
    }
    solve(0,n,idx);
    for(int i = 0;i<q;i++) wtn(ans[i].val());
}
0