結果

問題 No.1288 yuki collection
ユーザー 👑 hos.lyrichos.lyric
提出日時 2020-11-13 23:35:11
言語 D
(dmd 2.106.1)
結果
AC  
実行時間 947 ms / 5,000 ms
コード長 4,703 bytes
コンパイル時間 994 ms
コンパイル使用メモリ 127,104 KB
実行使用メモリ 5,688 KB
最終ジャッジ日時 2023-09-04 11:03:01
合計ジャッジ時間 19,660 ms
ジャッジサーバーID
(参考情報)
judge12 / judge13
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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
4,384 KB
testcase_01 AC 2 ms
4,384 KB
testcase_02 AC 1 ms
4,384 KB
testcase_03 AC 3 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 2 ms
4,380 KB
testcase_08 AC 3 ms
4,380 KB
testcase_09 AC 3 ms
4,384 KB
testcase_10 AC 4 ms
4,380 KB
testcase_11 AC 2 ms
4,384 KB
testcase_12 AC 3 ms
4,384 KB
testcase_13 AC 732 ms
4,380 KB
testcase_14 AC 718 ms
5,452 KB
testcase_15 AC 580 ms
4,384 KB
testcase_16 AC 574 ms
4,920 KB
testcase_17 AC 738 ms
4,380 KB
testcase_18 AC 751 ms
4,384 KB
testcase_19 AC 745 ms
4,380 KB
testcase_20 AC 748 ms
4,988 KB
testcase_21 AC 767 ms
4,384 KB
testcase_22 AC 768 ms
4,380 KB
testcase_23 AC 769 ms
4,380 KB
testcase_24 AC 758 ms
4,384 KB
testcase_25 AC 737 ms
4,384 KB
testcase_26 AC 742 ms
5,224 KB
testcase_27 AC 372 ms
4,380 KB
testcase_28 AC 413 ms
4,380 KB
testcase_29 AC 336 ms
4,380 KB
testcase_30 AC 28 ms
4,508 KB
testcase_31 AC 40 ms
4,384 KB
testcase_32 AC 43 ms
5,412 KB
testcase_33 AC 759 ms
5,368 KB
testcase_34 AC 828 ms
5,176 KB
testcase_35 AC 775 ms
4,388 KB
testcase_36 AC 947 ms
5,688 KB
testcase_37 AC 927 ms
4,380 KB
testcase_38 AC 470 ms
4,380 KB
testcase_39 AC 471 ms
4,380 KB
testcase_40 AC 13 ms
4,384 KB
testcase_41 AC 1 ms
4,380 KB
testcase_42 AC 1 ms
4,380 KB
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ソースコード

diff #

import std.conv, std.functional, std.range, std.stdio, std.string;
import std.algorithm, std.array, std.bigint, std.bitmanip, std.complex, std.container, std.math, std.mathspecial, std.numeric, std.regex, std.typecons;
import core.bitop;

class EOFException : Throwable { this() { super("EOF"); } }
string[] tokens;
string readToken() { for (; tokens.empty; ) { if (stdin.eof) { throw new EOFException; } tokens = readln.split; } auto token = tokens.front; tokens.popFront; return token; }
int readInt() { return readToken.to!int; }
long readLong() { return readToken.to!long; }
real readReal() { return readToken.to!real; }

bool chmin(T)(ref T t, in T f) { if (t > f) { t = f; return true; } else { return false; } }
bool chmax(T)(ref T t, in T f) { if (t < f) { t = f; return true; } else { return false; } }

int binarySearch(alias pred, T)(in T[] as) { int lo = -1, hi = cast(int)(as.length); for (; lo + 1 < hi; ) { const mid = (lo + hi) >> 1; (unaryFun!pred(as[mid]) ? hi : lo) = mid; } return hi; }
int lowerBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a >= val)); }
int upperBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a > val)); }


// Dijkstra
class MinCostFlow(Capa, Cost, Capa CAPA_EPS = 0) {
  int n, m;
  int[][] g;
  int[] as, bs;
  Capa[] capa;
  Cost[] cost, pot;
  Capa tof;
  Cost toc;
  this(int n) {
    this.n = n; m = 0; g = new int[][n]; as = []; bs = []; capa = []; cost = [];
  }
  int addEdge(int u, int v, Capa w, Cost c) {
    debug {
      writeln("addEdge ", u, " ", v, " ", w, " ", c);
    }
    const i = m;
    g[u] ~= m; as ~= u; bs ~= v; capa ~= w; cost ~= c; ++m;
    g[v] ~= m; as ~= v; bs ~= u; capa ~= 0; cost ~= -c; ++m;
    return i;
  }
  bool solve(int source, int sink, Capa flow) {
    pot = new Cost[n];
    pot[] = 0;
    for (; ; ) {
      bool cont;
      foreach (u; 0 .. n) foreach (i; g[u]) if (capa[i] > CAPA_EPS) {
        const v = bs[i];
        if (pot[v] > pot[u] + cost[i]) {
          pot[v] = pot[u] + cost[i];
          cont = true;
        }
      }
      if (!cont) break;
    }
    auto dist = new Cost[n];
    auto prei = new int[n];
    auto vis = new bool[n];
    for (tof = 0, toc = 0; tof + CAPA_EPS < flow; ) {
      alias Entry = Tuple!(Cost, "c", int, "u");
      BinaryHeap!(Array!Entry, "a > b") que;
      dist[] = -1;
      prei[] = -1;
      vis[] = false;
      dist[source] = 0;
      prei[source] = -2;
      que.insert(Entry(0, source));
      for (; !que.empty(); ) {
        const c = que.front.c;
        const u = que.front.u;
        que.removeFront;
        if (vis[u]) continue;
        vis[u] = true;
        foreach (i; g[u]) if (capa[i] > CAPA_EPS) {
          const v = bs[i];
          if (vis[v]) continue;
          const cc = c + cost[i] + pot[u] - pot[v];
          if (prei[v] == -1 || dist[v] > cc) {
            dist[v] = cc;
            prei[v] = i;
            que.insert(Entry(cc, v));
          }
        }
      }
      if (!vis[sink]) return false;
      Capa f = flow - tof;
      for (int v = sink; v != source; ) {
        const i = prei[v];
        if (f > capa[i]) f = capa[i];
        v = as[i];
      }
      for (int v = sink; v != source; ) {
        const i = prei[v];
        capa[i] -= f; capa[i ^ 1] += f;
        v = as[i];
      }
      tof += f;
      toc += f * (dist[sink] - pot[source] + pot[sink]);
      pot[] += dist[];
    }
    return true;
  }
}


void main() {
  try {
    for (; ; ) {
      const N = readInt();
      const S = readToken();
      auto V = new long[N];
      foreach (i; 0 .. N) {
        V[i] = readLong();
      }
      
      auto mcf = new MinCostFlow!(int, long)(N * 2 + 2);
      // mcf.addEdge(N * 2 + 1, N * 2, N, 0);
      foreach (i; 0 .. N) {
        if (S[i] == 'y') {
          mcf.addEdge(N * 2, i * 2, N, 0);
        }
        if (S[i] == 'i') {
          mcf.addEdge(i * 2 + 1, N * 2 + 1, N, 0);
        }
        mcf.addEdge(i * 2, i * 2 + 1, 1, -V[i]);
        foreach (j; i + 1 .. N) {
          if (S[i] == S[j]) {
            debug {
              writeln("? ", i, " ", j);
            }
            mcf.addEdge(i * 2, j * 2, N, 0);
            break;
          }
        }
        foreach (j; i + 1 .. N) {
          if ((S[i] == 'y' && S[j] == 'u') || (S[i] == 'u' && S[j] == 'k') || (S[i] == 'k' && S[j] == 'i')) {
            debug {
              writeln("! ", i, " ", j);
            }
            mcf.addEdge(i * 2 + 1, j * 2, N, 0);
            break;
          }
        }
      }
      
      // const res = mcf.solve();
      mcf.addEdge(N * 2, N * 2 + 1, N, 0);
      mcf.solve(N * 2, N * 2 + 1, N);
      const res = mcf.toc;
      writeln(-res);
    }
  } catch (EOFException e) {
  }
}
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