結果

問題 No.1288 yuki collection
ユーザー ei1333333ei1333333
提出日時 2020-09-25 01:21:21
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 379 ms / 5,000 ms
コード長 5,113 bytes
コンパイル時間 2,379 ms
コンパイル使用メモリ 215,532 KB
実行使用メモリ 4,504 KB
最終ジャッジ日時 2023-09-10 14:17:34
合計ジャッジ時間 9,711 ms
ジャッジサーバーID
（参考情報） 		judge14 / judge15
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 2 ms
4,380 KB
testcase_03 AC 2 ms
4,380 KB
testcase_04 AC 1 ms
4,380 KB
testcase_05 AC 1 ms
4,380 KB
testcase_06 AC 2 ms
4,380 KB
testcase_07 AC 1 ms
4,380 KB
testcase_08 AC 2 ms
4,376 KB
testcase_09 AC 1 ms
4,380 KB
testcase_10 AC 2 ms
4,376 KB
testcase_11 AC 2 ms
4,380 KB
testcase_12 AC 2 ms
4,376 KB
testcase_13 AC 254 ms
4,384 KB
testcase_14 AC 255 ms
4,384 KB
testcase_15 AC 203 ms
4,380 KB
testcase_16 AC 203 ms
4,480 KB
testcase_17 AC 257 ms
4,376 KB
testcase_18 AC 261 ms
4,380 KB
testcase_19 AC 259 ms
4,384 KB
testcase_20 AC 263 ms
4,380 KB
testcase_21 AC 249 ms
4,380 KB
testcase_22 AC 247 ms
4,392 KB
testcase_23 AC 246 ms
4,380 KB
testcase_24 AC 265 ms
4,384 KB
testcase_25 AC 260 ms
4,380 KB
testcase_26 AC 260 ms
4,380 KB
testcase_27 AC 136 ms
4,376 KB
testcase_28 AC 154 ms
4,384 KB
testcase_29 AC 137 ms
4,436 KB
testcase_30 AC 11 ms
4,384 KB
testcase_31 AC 17 ms
4,376 KB
testcase_32 AC 17 ms
4,412 KB
testcase_33 AC 142 ms
4,388 KB
testcase_34 AC 239 ms
4,380 KB
testcase_35 AC 227 ms
4,376 KB
testcase_36 AC 379 ms
4,452 KB
testcase_37 AC 348 ms
4,380 KB
testcase_38 AC 162 ms
4,504 KB
testcase_39 AC 123 ms
4,380 KB
testcase_40 AC 5 ms
4,472 KB
testcase_41 AC 1 ms
4,380 KB
testcase_42 AC 1 ms
4,376 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 # 

#include <bits/stdc++.h>

using namespace std;

using int64 = long long;
const int mod = 1e9 + 7;
// const int mod = 998244353;

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 {
  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)};
}

template< typename flow_t, typename cost_t >
struct PrimalDual {
  const cost_t INF;

  struct edge {
    int to;
    flow_t cap;
    cost_t cost;
    int rev;
    bool isrev;
  };
  vector< vector< edge > > graph;
  vector< cost_t > potential, min_cost;
  vector< int > prevv, preve;

  PrimalDual(int V) : graph(V), INF(numeric_limits< cost_t >::max()) {}

  void add_edge(int from, int to, flow_t cap, cost_t cost) {
    graph[from].emplace_back((edge) {to, cap, cost, (int) graph[to].size(), false});
    graph[to].emplace_back((edge) {from, 0, -cost, (int) graph[from].size() - 1, true});
  }

  cost_t min_cost_flow(int s, int t, flow_t f) {
    int V = (int) graph.size();
    cost_t ret = 0;
    using Pi = pair< cost_t, int >;
    priority_queue< Pi, vector< Pi >, greater< Pi > > que;
    potential.assign(V, 0);
    preve.assign(V, -1);
    prevv.assign(V, -1);

    while(f > 0) {
      min_cost.assign(V, INF);
      que.emplace(0, s);
      min_cost[s] = 0;
      while(!que.empty()) {
        Pi p = que.top();
        que.pop();
        if(min_cost[p.second] < p.first) continue;
        for(int i = 0; i < graph[p.second].size(); i++) {
          edge &e = graph[p.second][i];
          cost_t nextCost = min_cost[p.second] + e.cost + potential[p.second] - potential[e.to];
          if(e.cap > 0 && min_cost[e.to] > nextCost) {
            min_cost[e.to] = nextCost;
            prevv[e.to] = p.second, preve[e.to] = i;
            que.emplace(min_cost[e.to], e.to);
          }
        }
      }
      if(min_cost[t] == INF) return -1;
      for(int v = 0; v < V; v++) potential[v] += min_cost[v];
      flow_t addflow = f;
      for(int v = t; v != s; v = prevv[v]) {
        addflow = min(addflow, graph[prevv[v]][preve[v]].cap);
      }
      f -= addflow;
      ret += addflow * potential[t];
      for(int v = t; v != s; v = prevv[v]) {
        edge &e = graph[prevv[v]][preve[v]];
        e.cap -= addflow;
        graph[v][e.rev].cap += addflow;
      }
    }
    return ret;
  }

  void output() {
    for(int i = 0; i < graph.size(); i++) {
      for(auto &e : graph[i]) {
        if(e.isrev) continue;
        auto &rev_e = graph[e.to][e.rev];
        cout << i << "->" << e.to << " (flow: " << rev_e.cap << "/" << rev_e.cap + e.cap << ")" << endl;
      }
    }
  }
};


int main() {
  int N;
  cin >> N;
  string S;
  cin >> S;
  vector< int > V(N);
  cin >> V;
  PrimalDual< int64, int64 > flow(N + N + N + 2);
  int X = N + N + N;
  int Y = N + N + N + 1;
  for(int i = 1; i < N; i++) {
    flow.add_edge(i - 1, i, flow.INF, 0);
    flow.add_edge(i - 1 + N, i + N, flow.INF, 0);
    flow.add_edge(i - 1 + N + N, i + N + N, flow.INF, 0);
  }
  for(int i = 0; i < N; i++) {
    if(S[i] == 'y') flow.add_edge(X, i, 1, inf - V[i]);
    else if(S[i] == 'u') flow.add_edge(i, i + N, 1, inf - V[i]);
    else if(S[i] == 'k') flow.add_edge(i + N, i + N + N, 1, inf - V[i]);
    else flow.add_edge(i + N + N, Y, 1, inf - V[i]);
  }
  flow.add_edge(X, Y, N / 4, inf * 4LL);
  cout << inf * 4LL * (N / 4) - flow.min_cost_flow(X, Y, N / 4) << "\n";
}
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