Show all the steps:
42^7 mod 253 = 15
(5*269) mod 336 =27
Find all solutions to the following linear congruences. (15 points) (a) 2x ≡ 5 (mod 7). (b) 6x ≡ 5 (mod 8). (c) 19x ≡ 30 (mod 40). Show all the steps taken in neat English to receive a positive review
please answer question #5 and show steps 5. Solving Quadratics (mod p). Use #1 (a) above and the quadratic formula (mod p) to find a pair of solutions (if possible) for each of the following quadratic equations (1), 2r2 +3 -4- (mod 7) (ii), 3r2-2r +1 0 (mod 19) (ii). 3z2 2r -0 (mod 23) 1. Euler's Criterion. (a). Use Euler's Criterion to the Legendre symbols below: (iv). (10/23) (b). Assume a is a quadratic residue mod p, and assume...
Evaluate the following: (i) 7^1300 mod 8, (ii) 72^36 mod 15, (iii) 15^546 mod 17. You may not use a calculator or computer - do this by hand, and show your computations.
Discrete Math: Calculate 3^1000 mod 7, show all work.
1. Show that a 1728 = 1 (mod p) when p= 7, 13, 19 for all a E N such that p /a. 2. Let p be a prime and p = 3 (mod 4). Show that r2 = -1 (mod p) has no solution. (Hint: Raise both side to (p-1)/2.)
int[] arr ={4, 7, 4, 15, 37, 5, 9, 42, 50, 50}; D. Show what the array representation and tree representation look like after you remove the minimum element from this min heap? (5 points)
(X+15)*(3*(4-(5+7/2))) Can someone place show me the steps to convert this infix expression to postfix... I got an answer of X 15 + * 3 4 – 5 7 2 / + I do not think it is correct...
show all the steps in your answer in neat English for a thumbs up Q5. (30 points) The plaintext message can be quickly recovered from a ciphertext message when the decryp- tion key d. an inverse of e modulo (p-1 - 15. is known. (Such an inverse exists because gedie. (p - 16 - 1) = 1.] To see this, note that if de = 1 mod ip - Diq-1))there is an integer k such thal de = 1 kp...
Assume a Hash table has 7 slots and the hash function h(k) = k mod 7 is used. The keys 14, 3, 11, 6, 10, 4, 20, and 17 are inserted in the table with collision resolution by chaining. Assume that the keys arrive in the order shown. (a) Show the hash table obtained after inserting all 8 keys. [Show only the final table] (b) Under the assumption that each key is searched with probability 1/8, calculate expected number of...
Please show all steps. This answer is on cheg solutions but not all working show. 7.) Suppose demand and supply are given by Q = 7--P, and Q=-P, 4. a. Determine the equilibrium price and quantity. Show the equilibrium graphically. b. Suppose a $6 excise tax is imposed on the good. Determine the new equi- librium price and quantity. c. How much tax revenue does the government earn with the $6 tax? ond