This problem performs elliptic curve encryption/decryption using the scheme out-
lined in section 10.4. the cryptosystem parameters are e11(1,6) and g = (2,7). b's
secret key is nb = 3. (hint: note the relationship of this system to the one discussed in
the previous question (10.14)]

a. find b's public key pb.
b. a wishes to encrypt the message pm = (10,9) and chooses the random value
k = 4. determine the ciphertext cm.

c. show the calculation by which в recovers pm from cm.

(10.> for e11(1,6) consider the point g=(2,7). compute the multiple of g from 2g through 13g.)

Consider this data sequence: "3 11 5 5 5 2 4 6 6 7 3 -8". any value that is the same as the immediately preceding value is considered a consecutive duplicate. in this example, there are three such consecutive duplicates: the 2nd and 3rd 5s and the second 6. note that the last 3 is not a consecutive duplicate because it was preceded by a 7. write some code that uses a loop to read such a sequence of non-negative integers , terminated by a negative number. when the code finishes executing, the number of consecutive duplicates encountered is printed. in this case, 3 would be printed. assume the availability of a variable, stdin, that references a scanner object associated with standard input. that is, stdin = new scanner(system.in); is given.

Write a function so that the main program below can be replaced by the simpler code that calls function original main program: miles_per_hour = float( minutes_traveled = float( hours_traveled = minutes_traveled / 60.0 miles_traveled = hours_traveled * miles_per_hour print('miles: %f' % miles_traveled) sample output with inputs: 70.0 100.0 miles: 116.666667

The average cost of one year at a private college in 2012-2013 is $43,289. the average grant aid received by a student at a private college in 2012-2013 is $15,680.   what is the average student contribution for one year at a private college in 2012-2013?