What is the O(N) algorithm of solving this problem? Posted by rbecq 28 Nov 2002 11:13 My codes here, i think it should be o(n) Posted by BShell 8 Jan 2003 15:05 it is ac in 0.03s, but maybe it is a little diffcult to understand. because my program are usually very bad :) i hope it could give you some help. var f:array[1..10000] of longint; r:array[1..10000,1..3] of integer; l,c:array[1..3] of longint; s:array[1..10000] of longint; i,j,n,x,a,b:longint; function dis(i,j:integer):longint; begin dis:=abs(s[j]-s[i]); end; begin readln(l[1],l[2],l[3],c[1],c[2],c[3]); readln(n); readln(a,b); if a>b then begin i:=a; a:=b; b:=i; end; fillchar(s,sizeof(s),0); for i:=2 to n do readln(s[i]); fillchar(r,sizeof(r),0); for i:=1 to 3 do begin x:=b; for j:=b downto a do begin while (x>a) and (dis(x-1,j)<=l[i]) do dec(x); r[j,i]:=x; end; end; f[a]:=0; for i:=a+1 to b do begin f[i]:=maxlongint; for j:=1 to 3 do if (f[r[i,j]]<>maxlongint) and (f[r[i,j]]+c[j]<f[i]) then f[i]:=f[r[i,j]]+c[j]; end; writeln(f[b]); end. My program accept in 0.046s , but I can't prove if it is O(n), may be O(nlogn) Wellcome to make friends with me! My msn : simon25hk@msn.com program ural1031; const maxn=10000; INFTY=1000000000; var A :array[1..maxn,1..3] of integer; L,C :array[1..3] of longint; F,D :array[1..maxn] of longint; N,S,E :integer; procedure swapit(var a,b:integer); var c :integer; begin c:=a; a:=b; b:=c; end; procedure init; var i,j :integer; begin fillchar(A,sizeof(A),0);
readln(L[1],L[2],L[3],C[1],C[2],C[3]); readln(N); readln(S,E); if S>E then swapit(S,E); for i:=2 to N do readln(D[i]); for i:=1 to N do F[i]:=INFTY; D[1]:=0; F[1]:=0; end; {init} procedure precal; var i,j,k :integer; Begin A[S,1]:=S; A[S,2]:=S; A[S,3]:=S; for i:=S+1 to E do begin for j:=1 to 3 do begin k:=A[i-1,j]; while (D[i]-D[k]>L[j]) do inc(k); A[i,j]:=k; end; end; end; {precal} function min(a,b:longint):longint; begin if a<b then min:=a else min:=b; end; {min} procedure main; var i,j :integer; tmp :longint; begin F[S]:=0; for i:=S+1 to E do begin tmp:=INFTY; for j:=1 to 3 do tmp:=Min(tmp,F[ A[i,j] ]+C[j]); F[i]:=tmp; end; end; {main} Begin init; precal; main; writeln(F[E]); end. Edited by author 20.06.2004 16:02 Edited by author 20.06.2004 16:03 Stop it! (+) I do not think that posting here your AC-sources is the best way to make friends with anyone. Just stop doing it, please! Re: My codes here, i think it should be o(n) It's really a good idea! Edited by author 08.07.2004 17:36 |