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The method below attempts to calculate xn economically: public double pow(double x, int n) { double y; if (n == 1) y = x; else
The method below attempts to calculate xn economically:
public double pow(double x, int n)
{
double y;
if (n == 1)
y = x;
else
y = pow(x, n/2) * pow(x, n - n/2); // Line 7
return y;
}
(a) How many multiplications will be executed when pow(1.234, 5) is called?
(b) How many multiplications will be executed if we replace Line 7 above with the following statements?
{ y = pow(x, n/2); y *= y; if (n % 2 != 0) y *= x; }
(c) How many multiplications will Version (a) above take to calculate pow(1.234, 9)? Version (b)?
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