Three Questions are Compulsory and last question is optional.


1.(20 marks) 
Input a range from user and print all the number that are palindromes in that range. 
Hint: Use the logic of reversing the number. 

Input: 1 to 22
Output: 11, 22.


2. (30 marks)
Write a Program to Produce the Following Output

                        1
                2                3
        4                5                6
7                8                9                10


3. (50 marks)
The probability that an individual telephone call will last less than t minutes can
be approximated by the exponential probability function
P(a call < t minutes) =1-  e^{-t/a}
where $a$ is the average call length and e = 2.71828. For example,
assuming that the average call length is 2.5 minutes, the probability that a call will
last less than one minute is calculated as 1 - e^{-1/2.5} = 0.3297.
Using this probability function, write a C program that calculates and displays a list
of probabilities of a call lasting less than one to less than 10 minutes, in one-minute
increments. Assume that the average call length is given as input.


4. (Optional)
Input a positive number m (as double) and find its cube
root.  Use the Halley's Method for finding
successively better approximations to it.  In this method,
the approximation in the next step (denoted by X(n+1)) is a
function of the approximation in the current step (X(n)),
i.e., X(n+1) = f(X(n)).  For cube root, the estimates are
updated as:
X(n+1) = ( (a + 2 * m)/ (a + 0.5 * m) ) * (X(n)/2)
Here a = X(n) * X(n) * X(n)
Assume that the first term is m, i.e., X(0) = m.

Continue the estimation till the difference between two
successive approximations is less than 0.01. Print the
cube root thus obtained.