結果

問題 No.654 Air E869120
コンテスト
ユーザー te-sh
提出日時 2020-01-25 21:51:51
言語 D
(dmd 2.109.1)
結果
AC  
実行時間 19 ms / 2,000 ms
コード長 5,642 bytes
コンパイル時間 1,765 ms
コンパイル使用メモリ 158,616 KB
実行使用メモリ 6,944 KB
最終ジャッジ日時 2024-06-22 04:33:17
合計ジャッジ時間 3,236 ms
ジャッジサーバーID
（参考情報） 		judge4 / judge1
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ファイルパターン 結果
sample AC * 5
other AC * 35
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ソースコード

diff # 

// URL: https://yukicoder.me/problems/no/654

import std.algorithm, std.array, std.container, std.math, std.range, std.typecons, std.string;

version(unittest) {} else
void main()
{
  int N, M, d; io.getV(N, M, d);
  int[] u, v, p, q, w; io.getC(M, u, v, p, q, w);
  u[] -= 1; v[] -= 1;

  auto dep = new int[][](N), arr = new int[][](N);
  foreach (i; 0..M) {
    dep[u[i]] ~= p[i];
    arr[v[i]] ~= q[i];
  }

  auto st = 0, tt = 10^^9;
  dep[0] ~= st;
  arr[N-1] ~= tt;

  foreach (i; 0..N) {
    dep[i] = dep[i].sort.uniq.array;
    arr[i] = arr[i].sort.uniq.array;
  }

  auto deph = new int[int][](N), arrh = new int[int][](N), c = 0;
  foreach (i; 0..N)
    foreach (pi; dep[i]) deph[i][pi] = c++;
  foreach (i; 0..N)
    foreach (qi; arr[i]) arrh[i][qi] = c++;

  auto g = GraphW!(long, 10L^^18)(c);

  foreach (i; 0..M)
    g.addEdge(deph[u[i]][p[i]], arrh[v[i]][q[i]], w[i]);

  foreach (i; 0..N)
    if (!dep[i].empty)
      foreach (j; 0..dep[i].length-1)
        g.addEdge(deph[i][dep[i][j]], deph[i][dep[i][j+1]], g.inf);

  foreach (i; 0..N-1)
    foreach (qi; arr[i]) {
      auto np = dep[i].assumeSorted.upperBound(qi+d-1);
      if (!np.empty)
        g.addEdge(arrh[i][qi], deph[i][np.front], g.inf);
    }

  foreach (i; 0..arr[N-1].length-1)
    g.addEdge(arrh[N-1][arr[N-1][i]], arrh[N-1][arr[N-1][i+1]], g.inf);

  io.put(g.dinic(deph[0][st], arrh[N-1][tt]).flow);
}

struct Graph
{
  alias Node = int;
  Node n;
  Node[][] g;
  alias g this;
  this(Node n) { this.n = n; g = new Node[][](n); }
  void addEdge(Node u, Node v) { g[u] ~= v; }
  void addEdgeB(Node u, Node v) { g[u] ~= v; g[v] ~= u; }
}

struct GraphW(W = int, W i = 10^^9)
{
  alias Node = int, Wt = W, inf = i;
  struct Edge { Node src, dst; Wt wt; alias cap = wt; }
  Node n;
  Edge[][] g;
  alias g this;
  this(Node n) { this.n = n; g = new Edge[][](n); }
  void addEdge(Node u, Node v, Wt w) { g[u] ~= Edge(u, v, w); }
  void addEdgeB(Node u, Node v, Wt w) { g[u] ~= Edge(u, v, w); g[v] ~= Edge(v, u, w); }
}

struct GraphM(W = int, W i = 10^^9)
{
  alias Node = int, Wt = W, inf = i;
  Node n;
  Wt[][] g;
  alias g this;
  this(int n) { this.n = n; g = new Wt[][](n, n); }
  static GraphM!(W, i) init(Node n)
  {
    auto g = GraphM!(W, i)(n);
    foreach (i; 0..n) { g[i][] = inf; g[i][i] = 0; }
    return g;
  }
}

struct Dinic(Graph)
{
  alias Node = Graph.Node, Wt = Graph.Wt;
  Graph g;
  alias g this;
  Wt flow = 0;

  this(Graph g, Node s, Node t)
  {
    this.g = g;
    auto adj = withRev(), level = new int[](n);

    auto levelize()
    {
      level[] = -1; level[s] = 0;

      auto q = DList!Node(s);
      while (!q.empty) {
        auto u = q.front; q.removeFront();
        if (u == t) break;
        foreach (ref e; adj[u])
          if (e.cap > e.flow && level[e.dst] < 0) {
            q.insertBack(e.dst);
            level[e.dst] = level[u] + 1;
          }
      }

      return level[t];
    }

    Wt augment(Node u, Wt cur)
    {
      if (u == t) return cur;

      foreach (ref e; adj[u]) {
        auto r = &adj[e.dst][e.rev];
        if (e.cap > e.flow && level[u] < level[e.dst]) {
          auto f = augment(e.dst, min(cur, e.cap - e.flow));
          if (f > 0) {
            e.flow += f;
            r.flow -= f;
            return f;
          }
        }
      }

      return 0;
    }

    Wt f = 0;
    while (levelize >= 0)
      while ((f = augment(s, g.inf)) > 0)
        flow += f;
  }

  private
  {
    struct EdgeR { Node src, dst; Wt cap, flow; Node rev; }
    EdgeR[][] withRev()
    {
      auto r = new EdgeR[][](n);
      foreach (gi; g)
        foreach (e; gi) {
          r[e.src] ~= EdgeR(e.src, e.dst, e.cap, 0, cast(Node)(r[e.dst].length));
          r[e.dst] ~= EdgeR(e.dst, e.src, 0, 0, cast(Node)(r[e.src].length) - 1);
        }
      return r;
    }
  }
}
Dinic!Graph dinic(Graph, Node)(Graph g, Node s, Node t)
{ return Dinic!Graph(g, s, t); }

auto io = IO!()();
import std.stdio;
struct IO(string floatFormat = "%.10f", string delimiter = " ", alias IN = stdin, alias OUT = stdout)
{
  import std.conv, std.format, std.meta, std.traits;
  alias assignable = hasAssignableElements;

  auto getV(T...)(ref T v) { foreach (ref w; v) get(w); }
  auto getA(T)(size_t n, ref T v) if (assignable!T) { v = new T(n); foreach (ref w; v) get(w); }
  auto getC(T...)(size_t n, ref T v) if (allSatisfy!(assignable, T))
  {
    foreach (ref w; v) w = new typeof(w)(n);
    foreach (i; 0..n) foreach (ref w; v) get(w[i]);
  }
  auto getM(T)(size_t r, size_t c, ref T v) if (assignable!T && assignable!(ElementType!T))
  {
    v = new T(r); foreach (ref w; v) getA(c, w);
  }
  template getS(E...)
  {
    auto getS(T)(size_t n, ref T v)
    {
      v = new T(n); foreach (ref w; v) foreach (e; E) mixin("get(w."~e~");");
    }
  }

  auto put(bool flush = false, T...)(T v)
  {
    foreach (i, w; v) { putA(w); if (i < v.length-1) OUT.write(delimiter); }
    OUT.writeln;
    static if (flush) OUT.flush();
  }
  auto putB(S, T)(bool c, S t, T f) { if (c) put(t); else put(f); }
  auto putRaw(T...)(T v) { OUT.write(v); OUT.writeln; }

  private
  {
    dchar[] buf;
    auto sp = (new dchar[](0)).splitter;
    void nextLine() { IN.readln(buf); sp = buf.splitter; }
    auto get(T)(ref T v) { if (sp.empty) nextLine(); v = sp.front.to!T; sp.popFront(); }

    auto putR(T)(T v)
    {
      auto w = v;
      while (!w.empty) { putA(w.front); w.popFront(); if (!w.empty) OUT.write(delimiter); }
    }
    auto putA(T)(T v)
    {
      static if (isInputRange!T && !isSomeString!T) putR(v);
      else if (isFloatingPoint!T) OUT.write(format(floatFormat, v));
      else OUT.write(v);
    }
  }
}
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