Description
prove a big theta bound for the algorithm below:
function F(n) begin
array A[1:n,1:n]
for i := 1 to n do
A[i, i] := 0
for m := 2 to n do
for i := 1 to n − m + 1 do begin
j := i + m – 1
A[i,j] := ∞
for k := i to j – 1 do
A[i, j] := min A[i, j], A[i, k] + A[k + 1, j] + ijk
end
return A[1, n]
end
Unformatted Attachment Preview
function F(n) begin
array A[1:n,1:n]
for i:=1 to n do
A[i, i] := 0.
for m:=2 to n do
for i:=1 to n - m + 1 do begin
j:=i+m - 1
A[i,j] :=00
for k:= i toj - 1 do
A[i, j] := min A[i, j], A[i, k] + A[k + 1, j] + ijk
end
return A[1, n]
end
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