Write a python programme inorder to decrypt the following cipher text to obain answers for the below questions.

Given a piece of ciphertext generated with Vigen$$re cipher, find the

encryption keyword and recover the corresponding plaintext. Use Kerckhoff$$s method to find the key length and show the numbers of coincidences for displacement of range $2$ to $30.$Find the keyword and Recover the plaintext. Use a python program find all the answers.

The Cipher text is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

Please don't give CHATGPT answer