Cod sursa(job #708930)

Utilizator Buzu_Tudor_RoCont vechi Buzu_Tudor_Ro Data 7 martie 2012 15:52:28
Problema Parantezare optima de matrici Scor 100
Compilator fpc Status done
Runda Arhiva educationala Marime 0.89 kb
Program parantezare_matrice;
const infinit=1000000000001;
var fi,fo : text;
    i,n,w,j,k : longint;
    best:array[0..501,0..501] of qword;
    d:array[0..510] of qword;

Function min(a,b:qword):qword;
begin
    if a<b then min:=a
           else min:=b;
end;

begin
    assign(fi,'podm.in'); reset(fi); readln(fi,n);
    assign(fo,'podm.out'); rewrite(fo);

    for i:=0 to n do read(fi,d[i]);
    for i:=1 to n do best[i,i]:=0;
    for i:=1 to n-1 do best[i,i+1]:=d[i-1]*d[i]*d[i+1];

    for w:=2 to n-1 do
                    for i:=1 to n-w do begin
                                       j:=i+w;
                                       best[i,j]:=infinit;
                                       for k:=i to j-1 do best[i,j]:=min(best[i,j],best[i,k]+best[k+1,j]+d[i-1]*d[k]*d[j]);
                                       end;
    write(fo,best[1,n]);
    close(fi); close(fo);
end.