結果

問題 No.1678 Coin Trade (Multiple)
ユーザー 👑 hos.lyrichos.lyric
提出日時 2021-09-10 21:52:30
言語 D
(dmd 2.106.1)
結果
AC  
実行時間 2,832 ms / 5,000 ms
コード長 4,282 bytes
コンパイル時間 1,132 ms
コンパイル使用メモリ 142,528 KB
実行使用メモリ 25,408 KB
最終ジャッジ日時 2024-06-22 12:25:33
合計ジャッジ時間 44,645 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
6,812 KB
testcase_01 AC 1 ms
6,940 KB
testcase_02 AC 1 ms
6,940 KB
testcase_03 AC 286 ms
14,172 KB
testcase_04 AC 1,406 ms
18,488 KB
testcase_05 AC 578 ms
25,344 KB
testcase_06 AC 450 ms
21,916 KB
testcase_07 AC 1,315 ms
14,888 KB
testcase_08 AC 840 ms
15,780 KB
testcase_09 AC 622 ms
24,948 KB
testcase_10 AC 311 ms
7,392 KB
testcase_11 AC 1,022 ms
18,596 KB
testcase_12 AC 297 ms
8,008 KB
testcase_13 AC 2,187 ms
23,128 KB
testcase_14 AC 739 ms
9,708 KB
testcase_15 AC 754 ms
19,200 KB
testcase_16 AC 219 ms
19,732 KB
testcase_17 AC 645 ms
22,352 KB
testcase_18 AC 2 ms
6,940 KB
testcase_19 AC 1 ms
6,940 KB
testcase_20 AC 2 ms
6,940 KB
testcase_21 AC 1 ms
6,940 KB
testcase_22 AC 2 ms
6,940 KB
testcase_23 AC 1 ms
6,940 KB
testcase_24 AC 2 ms
6,940 KB
testcase_25 AC 1 ms
6,940 KB
testcase_26 AC 2 ms
6,940 KB
testcase_27 AC 1 ms
6,940 KB
testcase_28 AC 2 ms
6,944 KB
testcase_29 AC 2 ms
6,940 KB
testcase_30 AC 1 ms
6,944 KB
testcase_31 AC 1 ms
6,940 KB
testcase_32 AC 1 ms
6,944 KB
testcase_33 AC 2 ms
6,944 KB
testcase_34 AC 2 ms
6,944 KB
testcase_35 AC 1 ms
6,944 KB
testcase_36 AC 2 ms
6,944 KB
testcase_37 AC 2 ms
6,940 KB
testcase_38 AC 2 ms
6,940 KB
testcase_39 AC 2 ms
6,940 KB
testcase_40 AC 1 ms
6,944 KB
testcase_41 AC 2 ms
6,940 KB
testcase_42 AC 2 ms
6,940 KB
testcase_43 AC 2 ms
6,944 KB
testcase_44 AC 1 ms
6,940 KB
testcase_45 AC 1 ms
6,940 KB
testcase_46 AC 2 ms
6,944 KB
testcase_47 AC 1 ms
6,940 KB
testcase_48 AC 2,832 ms
25,200 KB
testcase_49 AC 2,799 ms
25,408 KB
testcase_50 AC 2,789 ms
25,192 KB
testcase_51 AC 2,780 ms
23,312 KB
testcase_52 AC 2,831 ms
22,564 KB
testcase_53 AC 2,773 ms
24,872 KB
testcase_54 AC 2,759 ms
22,464 KB
testcase_55 AC 2,753 ms
24,332 KB
testcase_56 AC 2,777 ms
25,072 KB
testcase_57 AC 2,777 ms
24,528 KB
testcase_58 AC 1,490 ms
14,908 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;
  }
}


enum BIG = 10L^^10;

void main() {
  try {
    for (; ; ) {
      const N = readInt();
      const K = readInt();
      auto A = new long[N];
      auto M = new int[N];
      auto B = new int[][N];
      foreach (u; 0 .. N) {
        A[u] = readLong();
        M[u] = readInt();
        B[u] = new int[M[u]];
        foreach (m; 0 .. M[u]) {
          B[u][m] = readInt() - 1;
        }
      }
      
      auto mcf = new MinCostFlow!(int, long)(N);
      foreach (u; 0 .. N - 1) {
        mcf.addEdge(u, u + 1, K, BIG);
      }
      foreach (u; 0 .. N) {
        foreach (m; 0 .. M[u]) {
          const v = B[u][m];
          mcf.addEdge(v, u, 1, BIG * (u - v) + A[v] - A[u]);
        }
      }
      const res = mcf.solve(0, N - 1, K);
      assert(res);
      const ans = -(mcf.toc - K * BIG * (N - 1));
      writeln(ans);
    }
  } catch (EOFException e) {
  }
}
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