p[i]= { 10,30,20,40,80,20} Compute (((AB)(CD))E) daa code example
Example: matrix chain multiplication
minimum_multiplication(n: integer; d: array(0..n))
M: array(1..n, 1..n) := (others => 0);
for diagonal in 1 .. n-1 loop
for i in 1 .. n - diagonal loop
j := i + diagonal;
min := integer'last;
for k in i .. j-1 loop
current := M[i, k] + M[k+1, j] + d(i-1)*d(k)*d(j)
if current < min then
min := current
end if
end loop
M[i, j] := min
end loop
end loop