#743609 (C++17) No.1867 Partitions and Inversions

提出ソース

結果

問題	No.1867 Partitions and Inversions
ユーザー	SSRS
提出日時	2022-03-04 23:04:48
言語	C++17 (gcc 12.3.0 + boost 1.83.0)
結果	WA
実行時間	-
コード長	2,445 bytes
コンパイル時間	2,356 ms
コンパイル使用メモリ	212,260 KB
実行使用メモリ	73,984 KB
最終ジャッジ日時	2024-07-18 21:41:19
合計ジャッジ時間	62,414 ms
ジャッジサーバーID （参考情報）	judge5 / judge1

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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	1 ms 5,248 KB
testcase_01	AC	2 ms 5,248 KB
testcase_02	AC	1,479 ms 73,856 KB
testcase_03	AC	1,492 ms 73,856 KB
testcase_04	AC	1,482 ms 73,856 KB
testcase_05	AC	1,461 ms 73,856 KB
testcase_06	AC	1,452 ms 73,856 KB
testcase_07	AC	1,498 ms 73,856 KB
testcase_08	AC	1,497 ms 73,856 KB
testcase_09	AC	1,459 ms 73,856 KB
testcase_10	AC	1,530 ms 73,856 KB
testcase_11	AC	1,513 ms 73,856 KB
testcase_12	AC	1,468 ms 73,728 KB
testcase_13	AC	1,488 ms 73,856 KB
testcase_14	AC	1,487 ms 73,856 KB
testcase_15	AC	1,461 ms 73,856 KB
testcase_16	AC	1,496 ms 73,856 KB
testcase_17	AC	1,484 ms 73,728 KB
testcase_18	AC	1,604 ms 73,856 KB
testcase_19	AC	1,467 ms 73,856 KB
testcase_20	AC	1,473 ms 73,984 KB
testcase_21	AC	1,445 ms 73,856 KB
testcase_22	AC	1,463 ms 73,856 KB
testcase_23	AC	1,550 ms 73,856 KB
testcase_24	AC	1,481 ms 73,856 KB
testcase_25	AC	1,436 ms 73,856 KB
testcase_26	AC	1,649 ms 73,856 KB
testcase_27	AC	1,463 ms 73,856 KB
testcase_28	AC	1,503 ms 73,856 KB
testcase_29	AC	1,532 ms 73,856 KB
testcase_30	WA	-
testcase_31	AC	1,518 ms 73,856 KB
testcase_32	AC	2 ms 5,376 KB
testcase_33	AC	1 ms 5,376 KB
testcase_34	AC	2 ms 5,376 KB
testcase_35	AC	1 ms 5,376 KB
testcase_36	AC	2 ms 5,376 KB
testcase_37	AC	1 ms 5,376 KB
testcase_38	AC	23 ms 5,376 KB
testcase_39	AC	24 ms 5,504 KB
testcase_40	AC	23 ms 5,632 KB
testcase_41	AC	22 ms 5,504 KB
testcase_42	AC	22 ms 5,632 KB
testcase_43	AC	509 ms 34,688 KB
testcase_44	AC	528 ms 34,688 KB
testcase_45	AC	522 ms 34,688 KB
testcase_46	AC	498 ms 34,688 KB
testcase_47	AC	500 ms 34,688 KB
testcase_48	AC	513 ms 34,688 KB
testcase_49	AC	500 ms 34,688 KB
testcase_50	AC	507 ms 34,688 KB
testcase_51	AC	538 ms 34,688 KB
testcase_52	AC	507 ms 34,688 KB
testcase_53	AC	533 ms 34,688 KB
testcase_54	AC	504 ms 34,688 KB
testcase_55	AC	509 ms 34,688 KB
testcase_56	AC	508 ms 34,688 KB
testcase_57	AC	500 ms 34,688 KB
testcase_58	AC	510 ms 34,688 KB
testcase_59	AC	508 ms 34,688 KB
testcase_60	AC	501 ms 34,688 KB
testcase_61	AC	504 ms 34,816 KB
testcase_62	AC	497 ms 34,816 KB
testcase_63	AC	1,758 ms 73,856 KB
testcase_64	AC	2 ms 5,376 KB
testcase_65	AC	2 ms 5,376 KB
testcase_66	AC	2 ms 5,376 KB
testcase_67	AC	1,782 ms 73,856 KB

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コンパイルメッセージ

In file included from /home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/include/c++/12/bits/stl_algobase.h:64,
                 from /home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/include/c++/12/bits/specfun.h:45,
                 from /home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/include/c++/12/cmath:1935,
                 from /home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/include/c++/12/x86_64-pc-linux-gnu/bits/stdc++.h:41,
                 from main.cpp:2:
In member function 'std::pair<_T1, _T2>& std::pair<_T1, _T2>::operator=(std::__conditional_t<std::__and_<std::is_move_assignable<_Tp>, std::is_move_assignable<_T2> >::value, std::pair<_T1, _T2>&&, std::__nonesuch&&>) [with _T1 = int; _T2 = int]',
    inlined from 'monotone_minima<int, std::less<int> >(int, int, const std::function<int(int, int)>&, const std::less<int>&)::<lambda(int, int, int, int)>' at main.cpp:25:14,
    inlined from 'constexpr _Res std::__invoke_impl(__invoke_other, _Fn&&, _Args&& ...) [with _Res = void; _Fn = monotone_minima<int, std::less<int> >(int, int, const std::function<int(int, int)>&, const std::less<int>&)::<lambda(int, int, int, int)>&; _Args = {int, int, int, int}]' at /home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/include/c++/12/bits/invoke.h:61:36,
    inlined from 'constexpr std::enable_if_t<is_invocable_r_v<_Res, _Callable, _Args ...>, _Res> std::__invoke_r(_Callable&&, _Args&& ...) [with _Res = void; _Callable = monotone_minima<int, std::less<int> >(int, int, const std::function<int(int, int)>&, const std::less<int>&)::<lambda(int, int, int, int)>&; _Args = {int, int, int, int}]' at /home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/include/c++/12/bits/invoke.h:111:28,
    inlined from 'static _Res std::_Function_handler<_Res(_ArgTypes ...), _Functor>::_M_invoke(const std::_Any_data&, _ArgTypes&& ...) [with _Res = void; _Functor = monotone_minima<int, std::less<int> >(int, int, const std::function<int(int, int)>&, const std::less<int>&)::<lambda(int, int, int, int)>; _ArgTy

ソースコード

raw source code

//嘘解法
#include <bits/stdc++.h>
using namespace std;
const int INF = 1000000000;
vector<vector<int>> S;
int op(int i, int j){
  return S[i][j];
}
//https://ei1333.github.io/library/dp/monotone-minima.cpp
template< typename T, typename Compare = less< T > >
vector< pair< int, T > > monotone_minima(int H, int W, const function< T(int, int) > &f, const Compare &comp = Compare()) {
  vector< pair< int, T > > dp(H);
  function< void(int, int, int, int) > dfs = [&](int top, int bottom, int left, int right) {
    if(top > bottom) return;
    int line = (top + bottom) / 2;
    T ma;
    int mi = -1;
    for(int i = left; i <= right; i++) {
      T cst = f(line, i);
      if(mi == -1 || comp(cst, ma)) {
        ma = cst;
        mi = i;
      }
    }
    dp[line] = make_pair(mi, ma);
    dfs(top, line - 1, left, mi);
    dfs(line + 1, bottom, mi, right);
  };
  dfs(0, H - 1, 0, W - 1);
  return dp;
}
//https://ei1333.github.io/library/dp/divide-and-conquer-optimization.cpp
template< typename T, typename Compare = less< T > >
vector< vector< T > > divide_and_conquer_optimization(int H, int W, T INF, const function< T(int, int) > &f, const Compare &comp = Compare()) {
  vector< vector< T > > dp(H + 1, vector< T >(W + 1, INF));
  dp[0][0] = 0;
  for(int i = 1; i <= H; i++) {
    function< T(int, int) > get_cost = [&](int y, int x) {
      if(x >= y) return INF;
      return dp[i - 1][x] + f(x, y);
    };
    auto ret = monotone_minima(W + 1, W + 1, get_cost, comp);
    for(int j = 0; j <= W; j++) dp[i][j] = ret[j].second;
  }
  return dp;
}
int main(){
  int N;
  cin >> N;
  vector<int> P(N);
  for (int i = 0; i < N; i++){
    cin >> P[i];
    P[i]--;
  }
  S = vector<vector<int>>(N + 1, vector<int>(N + 1, 0));
  for (int i = 0; i < N; i++){
    for (int j = i + 1; j < N; j++){
      if (P[i] > P[j]){
        S[i][j + 1]++;
      }
    }
  }  
  for (int i = 0; i <= N; i++){
    for (int j = 0; j < N; j++){
      S[i][j + 1] += S[i][j];
    }
  }
  for (int i = N; i >= 1; i--){
    for (int j = 0; j <= N; j++){
      S[i - 1][j] += S[i][j];
    }
  }
  vector<int> mx(N + 1, 0);
  for (int i = 0; i <= N; i++){
    for (int j = i; j <= N; j++){
      mx[j - i] = max(mx[j - i], S[i][j]);
      S[i][j] *= -1;
    }
  }
  vector<vector<int>> dp = divide_and_conquer_optimization<int>(N + 1, N + 1, INF, op);
  for (int i = 1; i <= N; i++){
    cout << min(-S[0][N] + dp[i][N], -S[0][N] - mx[N + 1 - i]) << endl;
  }
}

yukicoder

結果

テストケース

コンパイルメッセージ

ソースコード