divide and conquer algorithm
divide and conquer:
split the problem into sub problems,
solve each sub problem to eventually solve the main problemdivide and conquer algorithm
divide and conquer:
split the problem into sub problems,
solve each sub problem to eventually solve the main problemDivide and conquer algorithm
DAC(a, i, j)
{
if(small(a, i, j))
return(Solution(a, i, j))
else
m = divide(a, i, j) // f1(n)
b = DAC(a, i, mid) // T(n/2)
c = DAC(a, mid+1, j) // T(n/2)
d = combine(b, c) // f2(n)
return(d)
}Divide And Conquer
T(n) = aT(n/b) + f(n),
where,
n = size of input
a = number of subproblems in the recursion
n/b = size of each subproblem. All subproblems are assumed to have the same size.
f(n) = cost of the work done outside the recursive call, which includes the cost of dividing the problem and cost of merging the solutionsCopyright © 2021 Codeinu
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