• PKU 3259 Wormholes 最短路 bellman


    题意/Description

       While exploring his many farms, Farmer John has discovered a number of amazing wormholes. A wormhole is very peculiar because it is a one-way path that delivers you to its destination at a time that is BEFORE you entered the wormhole! Each of FJ's farms comprises N (1 ≤ N ≤ 500) fields conveniently numbered 1..NM (1 ≤ M ≤ 2500) paths, and W (1 ≤ W ≤ 200) wormholes.

    As FJ is an avid time-traveling fan, he wants to do the following: start at some field, travel through some paths and wormholes, and return to the starting field a time before his initial departure. Perhaps he will be able to meet himself :) .

    To help FJ find out whether this is possible or not, he will supply you with complete maps to F (1 ≤ F ≤ 5) of his farms. No paths will take longer than 10,000 seconds to travel and no wormhole can bring FJ back in time by more than 10,000 seconds.  

    (大笑呵呵,看不懂?找谷歌翻译。)

     

    读入/Input

    Line 1: A single integer, FF farm descriptions follow. 
    Line 1 of each farm: Three space-separated integers respectively: NM, and W 
    Lines 2..M+1 of each farm: Three space-separated numbers (SET) that describe, respectively: a bidirectional path between S and E that requires T seconds to traverse. Two fields might be connected by more than one path. 
    Lines M+2..M+W+1 of each farm: Three space-separated numbers (SET) that describe, respectively: A one way path from S to E that also moves the traveler back T seconds.

    (怎么还是英文!)

     

    输出/Output

    Lines 1..F: For each farm, output "YES" if FJ can achieve his goal, otherwise output "NO" (do not include the quotes).

    (终于看懂了一些。)


    题解/solution

      这题的算法太明显了,题目中都讲到有负权了,当然用bellman啦。只不过多循环了几遍,小意思。

     

    代码/Code

    const
      maxE=100000;
      maxV=2000000;
    type
      arr=record
        x,y,w,next:longint;
      end;
    var
      n,m,wt,t:longint;
      a:array [0..maxV] of arr;
      d:array [0..maxE] of longint;
    function bellman:boolean;
    var
      i,j:longint;
    begin          
      for i:=1 to n do
        for j:=1 to m do
          with a[j] do
            if d[x]+w<d[y] then
              d[y]:=d[x]+w;
      for i:=1 to m do
        with a[i] do
          if d[x]+w<d[y] then exit(true);
      bellman:=false;
    end;
    procedure init;
    var
      i,j,o,p:longint;
      boo:boolean;
    begin
      readln(t);
      for i:=1 to t do
       begin
         fillchar(a,sizeof(a),0);
         fillchar(d,sizeof(d),$7f div 3);
         readln(n,m,wt);
         for j:=1 to m do
           begin
             o:=j*2; p:=j*2-1;
             with a[p] do
               begin
                 read(x,y,w);
                 a[o].x:=y; a[o].y:=x; a[o].w:=w;
               end;
           end;
         for j:=1 to wt do
           with a[j+m*2] do
             begin
               read(x,y,w);
               w:=-w;
             end;
         m:=m*2+wt; d[1]:=0;
         boo:=bellman;
         if boo then writeln('YES')
                else writeln('NO');
       end;
    end;
    begin
      init;
    end.
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  • 原文地址:https://www.cnblogs.com/zyx-crying/p/9319722.html
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