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Affine cipher is a type of monoalphabetic substitution cipher, wherein each letter in an alphabet is mapped to its numeric equivalent, encrypted using a simple mathematical function, and converted back to a letter. Each letter is enciphered with the function (axtb) mod 26, where b is the magnitude of the shift. e a o n The following figure shows the relative frequencies of English characters, in descending order of frequency: Letter Frequency 12.702% 9.056% 8.167% 7.507% 6.966% 6.749% S 6.327% h 6.074% 5.987% 4.253% 4.025% 2.782% u 2.758% m 2.406% w 2.360% f 2.228% B 2.015% Y 1.974% 1.929% b 1.492% V 0.772% 0.772% 0.153% 0.150% 9 0.095% Z 0.074% X By eavesdropping on Alice's communications, you are able to observe the following count of characters in her ciphertexts: A 453.8 139 C 201 D 138 E 213 F 120 G 49 H 635 1337 J 118 K 111 L 375 M7 N 101 O 96 P 99 Q 305 R5 94 T 348 U 299 V 408 W8 X 316 Y 75 Z 39 You intercept the following ciphertext, which Alice has used an Affine cipher to encrypt: PLDETETA ITBHJLUZ JHCCELIH BLINUVAX Apply this information to recover Alice's plaintext and encryption key. Show your work and indicate your plaintext and key clearly in the space provided below