pku3259 Wormholes
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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..N, M (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.
Input
Line 1 of each farm: Three space-separated integers respectively: N, M, and W
Lines 2..M+1 of each farm: Three space-separated numbers (S, E, T) 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 (S, E, T) that describe, respectively: A one way path from S to E that also moves the traveler back T seconds.
Output
Lines 1..F: For each farm, output "YES" if FJ can achieve his goal, otherwise output "NO" (do not include the quotes).
题解
用BELLMAN找负权环,有的输出YES,否则输出NO。
代码
const maxn=100000;type ccc=record a,b,w:longint; end;var a:array[1..maxn]of ccc; dis:array[1..maxn]of longint; n,m,b,s:longint;procedure relax(u,v,w:longint);begin if dis[u]+w<dis[v] then dis[v]:=dis[u]+w;end;function bellman_ford:boolean;var i,j:longint;begin for i:=1to n do for j:=1 to m do relax(a[j].a,a[j].b,a[j].w); for i:=1 to m do if dis[a[i].a]+a[i].w<dis[a[i].b] then exit(true); exit(false)end;procedure init;var i,j:longint;begin readln(s); for i:=1 to s do begin readln(n,m,b); fillchar(a,sizeof(a),0); fillchar(dis,sizeof(dis),$7f); dis[1]:=0; for j:=1 to m do begin readln(a[j*2-1].a,a[j*2-1].b,a[j*2-1].w); a[j*2].a:=a[j*2-1].b; a[j*2].b:=a[j*2-1].a; a[j*2].w:=a[j*2-1].w; end; m:=m*2; for j:=1 to b do begin readln(a[j+m].a,a[j+m].b,a[j+m].w); a[j+m].w:=a[j+m].w*-1; end; m:=m+s; if bellman_ford then writeln('YES') else writeln('NO') end;end;begin init;end.
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