,
T(n) = c_1X(n)=cX, where
c_1cXXX some XXXXXXXX. And on average XXX
n > 1n>X, inserting an element in XXX proper XXXXXXXX in a XXXXXX array XXXXXXXX shifting half of the elements, i.e.
c_2n/2 + c_3cXn/X+c3XXXX (
c_2n/2c2n/2for XXXXXXXX XXX XXXXXXXX XXX
XXXcXXXX XXXXXXXXX the XXXXXXX).
$ T(n) & = X(n - X) + c_2(n - 1)/X + XXX \\ & = T(n - 2) + XXX(n - X)/2 + c_3 + \{c_2(n - 1)/X + c_3\} \\ & = X(X) + \XXXX \cdot \XXXX + \{c_2(n - X)/2 + XXX\} + \{c_2(n - 1)/2 + c_3\} \\ & = c_1 + \frac {c_2} 2 \{X + 2 + \XXXX \cdot \cdot + (n - X)\} + c_3(n - X) \\ & = c_1 + \frac {XXX} X \cdot \frac {n(n - 1)} X + c_3(n - 1) \\ & = \XXXXX(n^X)$
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