test/verify/aoj-2603.test.cpp

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• Last update: 2024-04-24 02:34:04+09:00
• Problem: http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=2603

Depends on

• Divide And Conquer Optimization (dp/divide-and-conquer-optimization.hpp)
• Monotone Minima (dp/monotone-minima.hpp)
• template/template.hpp

Code

// competitive-verifier: PROBLEM http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=2603

#include "../../template/template.hpp"

#include "../../dp/divide-and-conquer-optimization.hpp"

int main() {
  int S, N, M;
  cin >> S >> N >> M;
  vector< int > X(S);
  cin >> X;
  vector< int > T(N);
  for(int i = 0; i < N; i++) {
    int a, b;
    cin >> a >> b;
    T[i] = a - X[--b];
  }
  sort(begin(T), end(T));
  auto mat = make_v< int >(N, N);
  for(int right = N - 1; right >= 0; right--) {
    for(int left = right - 1; left >= 0; left--) {
      mat[left][right] = mat[left + 1][right] + T[right] - T[left];
    }
  }
  auto val = divide_and_conquer_optimization< int >(M, N, inf, [&](int a, int b) { return mat[a][b - 1]; });
  int ret = inf;
  for(int k = 0; k < val.size(); k++) chmin(ret, val[k].back());
  cout << ret << "\n";
}

#line 1 "test/verify/aoj-2603.test.cpp"
// competitive-verifier: PROBLEM http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=2603

#line 1 "template/template.hpp"
#include<bits/stdc++.h>

using namespace std;

using int64 = long long;

const int64 infll = (1LL << 62) - 1;
const int inf = (1 << 30) - 1;

struct IoSetup {
  IoSetup() {
    cin.tie(nullptr);
    ios::sync_with_stdio(false);
    cout << fixed << setprecision(10);
    cerr << fixed << setprecision(10);
  }
} iosetup;

template< typename T1, typename T2 >
ostream &operator<<(ostream &os, const pair< T1, T2 >& p) {
  os << p.first << " " << p.second;
  return os;
}

template< typename T1, typename T2 >
istream &operator>>(istream &is, pair< T1, T2 > &p) {
  is >> p.first >> p.second;
  return is;
}

template< typename T >
ostream &operator<<(ostream &os, const vector< T > &v) {
  for(int i = 0; i < (int) v.size(); i++) {
    os << v[i] << (i + 1 != v.size() ? " " : "");
  }
  return os;
}

template< typename T >
istream &operator>>(istream &is, vector< T > &v) {
  for(T &in : v) is >> in;
  return is;
}

template< typename T1, typename T2 >
inline bool chmax(T1 &a, T2 b) { return a < b && (a = b, true); }

template< typename T1, typename T2 >
inline bool chmin(T1 &a, T2 b) { return a > b && (a = b, true); }

template< typename T = int64 >
vector< T > make_v(size_t a) {
  return vector< T >(a);
}

template< typename T, typename... Ts >
auto make_v(size_t a, Ts... ts) {
  return vector< decltype(make_v< T >(ts...)) >(a, make_v< T >(ts...));
}

template< typename T, typename V >
typename enable_if< is_class< T >::value == 0 >::type fill_v(T &t, const V &v) {
  t = v;
}

template< typename T, typename V >
typename enable_if< is_class< T >::value != 0 >::type fill_v(T &t, const V &v) {
  for(auto &e : t) fill_v(e, v);
}

template< typename F >
struct FixPoint : F {
  explicit FixPoint(F &&f) : F(forward< F >(f)) {}

  template< typename... Args >
  decltype(auto) operator()(Args &&... args) const {
    return F::operator()(*this, forward< Args >(args)...);
  }
};
 
template< typename F >
inline decltype(auto) MFP(F &&f) {
  return FixPoint< F >{forward< F >(f)};
}
#line 4 "test/verify/aoj-2603.test.cpp"

#line 1 "dp/monotone-minima.hpp"
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;
}
#line 2 "dp/divide-and-conquer-optimization.hpp"

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;
}
#line 6 "test/verify/aoj-2603.test.cpp"

int main() {
  int S, N, M;
  cin >> S >> N >> M;
  vector< int > X(S);
  cin >> X;
  vector< int > T(N);
  for(int i = 0; i < N; i++) {
    int a, b;
    cin >> a >> b;
    T[i] = a - X[--b];
  }
  sort(begin(T), end(T));
  auto mat = make_v< int >(N, N);
  for(int right = N - 1; right >= 0; right--) {
    for(int left = right - 1; left >= 0; left--) {
      mat[left][right] = mat[left + 1][right] + T[right] - T[left];
    }
  }
  auto val = divide_and_conquer_optimization< int >(M, N, inf, [&](int a, int b) { return mat[a][b - 1]; });
  int ret = inf;
  for(int k = 0; k < val.size(); k++) chmin(ret, val[k].back());
  cout << ret << "\n";
}

Test cases

Env	Name	Status	Elapsed	Memory
g++	00_sample_00.txt	AC	6 ms	4 MB
g++	00_sample_01.txt	AC	6 ms	4 MB
g++	00_sample_02.txt	AC	6 ms	4 MB
g++	01_teuchi_00.txt	AC	6 ms	4 MB
g++	99_large_random_0.txt	AC	28 ms	6 MB
g++	99_large_random_1.txt	AC	24 ms	6 MB
g++	99_large_random_2.txt	AC	13 ms	5 MB
g++	99_large_random_3.txt	AC	25 ms	6 MB
g++	99_large_random_4.txt	AC	46 ms	7 MB
g++	99_large_random_5.txt	AC	26 ms	6 MB
g++	99_large_random_6.txt	AC	18 ms	5 MB
g++	99_large_random_7.txt	AC	25 ms	6 MB
g++	99_large_random_8.txt	AC	43 ms	7 MB
g++	99_large_random_9.txt	AC	51 ms	7 MB
g++	99_max_random_0.txt	AC	73 ms	22 MB
g++	99_max_random_1.txt	AC	56 ms	21 MB
g++	99_max_random_2.txt	AC	94 ms	23 MB
g++	99_max_random_3.txt	AC	115 ms	24 MB
g++	99_max_random_4.txt	AC	100 ms	23 MB
g++	99_max_random_5.txt	AC	104 ms	23 MB
g++	99_max_random_6.txt	AC	136 ms	25 MB
g++	99_max_random_7.txt	AC	163 ms	27 MB
g++	99_max_random_8.txt	AC	25 ms	20 MB
g++	99_max_random_9.txt	AC	30 ms	20 MB
g++	99_middle_random_0.txt	AC	13 ms	4 MB
g++	99_middle_random_1.txt	AC	24 ms	5 MB
g++	99_middle_random_2.txt	AC	30 ms	6 MB
g++	99_middle_random_3.txt	AC	11 ms	4 MB
g++	99_middle_random_4.txt	AC	7 ms	4 MB
g++	99_middle_random_5.txt	AC	8 ms	4 MB
g++	99_middle_random_6.txt	AC	9 ms	4 MB
g++	99_middle_random_7.txt	AC	21 ms	5 MB
g++	99_middle_random_8.txt	AC	32 ms	6 MB
g++	99_middle_random_9.txt	AC	31 ms	6 MB
g++	99_small_random_0.txt	AC	13 ms	4 MB
g++	99_small_random_1.txt	AC	8 ms	4 MB
g++	99_small_random_2.txt	AC	7 ms	4 MB
g++	99_small_random_3.txt	AC	13 ms	4 MB
g++	99_small_random_4.txt	AC	15 ms	4 MB
g++	99_small_random_5.txt	AC	12 ms	4 MB
g++	99_small_random_6.txt	AC	14 ms	4 MB
g++	99_small_random_7.txt	AC	12 ms	4 MB
g++	99_small_random_8.txt	AC	10 ms	4 MB
g++	99_small_random_9.txt	AC	11 ms	4 MB
g++	99_tiny_random_0.txt	AC	6 ms	4 MB
g++	99_tiny_random_1.txt	AC	7 ms	4 MB
g++	99_tiny_random_2.txt	AC	7 ms	4 MB
g++	99_tiny_random_3.txt	AC	7 ms	4 MB
g++	99_tiny_random_4.txt	AC	7 ms	4 MB
g++	99_tiny_random_5.txt	AC	6 ms	4 MB
g++	99_tiny_random_6.txt	AC	6 ms	4 MB
g++	99_tiny_random_7.txt	AC	6 ms	4 MB
g++	99_tiny_random_8.txt	AC	6 ms	4 MB
g++	99_tiny_random_9.txt	AC	6 ms	4 MB
clang++	00_sample_00.txt	AC	6 ms	4 MB
clang++	00_sample_01.txt	AC	6 ms	4 MB
clang++	00_sample_02.txt	AC	6 ms	4 MB
clang++	01_teuchi_00.txt	AC	6 ms	4 MB
clang++	99_large_random_0.txt	AC	27 ms	6 MB
clang++	99_large_random_1.txt	AC	22 ms	6 MB
clang++	99_large_random_2.txt	AC	13 ms	5 MB
clang++	99_large_random_3.txt	AC	23 ms	6 MB
clang++	99_large_random_4.txt	AC	42 ms	7 MB
clang++	99_large_random_5.txt	AC	24 ms	6 MB
clang++	99_large_random_6.txt	AC	18 ms	5 MB
clang++	99_large_random_7.txt	AC	23 ms	6 MB
clang++	99_large_random_8.txt	AC	39 ms	7 MB
clang++	99_large_random_9.txt	AC	47 ms	7 MB
clang++	99_max_random_0.txt	AC	70 ms	22 MB
clang++	99_max_random_1.txt	AC	54 ms	21 MB
clang++	99_max_random_2.txt	AC	87 ms	23 MB
clang++	99_max_random_3.txt	AC	106 ms	24 MB
clang++	99_max_random_4.txt	AC	91 ms	23 MB
clang++	99_max_random_5.txt	AC	94 ms	23 MB
clang++	99_max_random_6.txt	AC	122 ms	25 MB
clang++	99_max_random_7.txt	AC	149 ms	27 MB
clang++	99_max_random_8.txt	AC	25 ms	20 MB
clang++	99_max_random_9.txt	AC	29 ms	20 MB
clang++	99_middle_random_0.txt	AC	13 ms	4 MB
clang++	99_middle_random_1.txt	AC	23 ms	5 MB
clang++	99_middle_random_2.txt	AC	28 ms	6 MB
clang++	99_middle_random_3.txt	AC	10 ms	4 MB
clang++	99_middle_random_4.txt	AC	7 ms	4 MB
clang++	99_middle_random_5.txt	AC	8 ms	4 MB
clang++	99_middle_random_6.txt	AC	9 ms	4 MB
clang++	99_middle_random_7.txt	AC	20 ms	5 MB
clang++	99_middle_random_8.txt	AC	30 ms	6 MB
clang++	99_middle_random_9.txt	AC	28 ms	6 MB
clang++	99_small_random_0.txt	AC	13 ms	4 MB
clang++	99_small_random_1.txt	AC	8 ms	4 MB
clang++	99_small_random_2.txt	AC	7 ms	4 MB
clang++	99_small_random_3.txt	AC	12 ms	4 MB
clang++	99_small_random_4.txt	AC	14 ms	4 MB
clang++	99_small_random_5.txt	AC	12 ms	4 MB
clang++	99_small_random_6.txt	AC	13 ms	4 MB
clang++	99_small_random_7.txt	AC	11 ms	4 MB
clang++	99_small_random_8.txt	AC	10 ms	4 MB
clang++	99_small_random_9.txt	AC	11 ms	4 MB
clang++	99_tiny_random_0.txt	AC	6 ms	4 MB
clang++	99_tiny_random_1.txt	AC	7 ms	4 MB
clang++	99_tiny_random_2.txt	AC	7 ms	4 MB
clang++	99_tiny_random_3.txt	AC	6 ms	4 MB
clang++	99_tiny_random_4.txt	AC	7 ms	4 MB
clang++	99_tiny_random_5.txt	AC	6 ms	4 MB
clang++	99_tiny_random_6.txt	AC	6 ms	4 MB
clang++	99_tiny_random_7.txt	AC	6 ms	4 MB
clang++	99_tiny_random_8.txt	AC	6 ms	4 MB
clang++	99_tiny_random_9.txt	AC	6 ms	4 MB

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