Heads / Tails Probability 

The probability of n heads in a row tossing a fair coin is 2-n. Calculate the probability for any positive integer n ( $1 \le n \le 1000000$).

Input 

A list of valid values of n (one per line).

Output 

Print a table of n and 2-n in the following for the given values of n, using the following format:

2^-n = z.xxxe-y

where z is a nonzero decimal digit, each x is a decimal digit and each y is a decimal integer with no leading zeros or spaces.

Sample Input 

1
100
10000
1000000

Sample Output 

2^-1 = 5.000e-1
2^-100 = 7.889e-31
2^-10000 = 5.012e-3011
2^-1000000 = 1.010e-301030



Miguel Revilla
2000-04-05