The message validation server is able to validate two types of messages-type A and type B messages correspondingly. It is commonly believed that the validation time of type B message is somewhat longer than the validation of type A message. Additionally, it's commonly believed that the actual validation time depends largely only on the type of messages (A and B types) and doesn't depend in an essential amount on the message content. However, nobody hasn't checked these claims in practice. We have reliable statistics for four different sessions: - 1st session - 17,648 of type A messages and 11,414 type B messages were validated, session lasted 6 minutes and 7.90 seconds. 2nd session - 6836 of type A messages and 12,618 type B messages were validated, session lasted 4 minutes and 23.80 seconds. 3rd session - 24,616 of type A messages and 17,648 type B messages were validated, session lasted 8 minutes and 56.10 seconds. 4th session - 10,684 of type A messages and 12,684 type B messages were validated, session lasted 5 minutes and 7.78 seconds. asks: Determine to what precision the validation time depends only on the type of message (A and B types), not the message content. Determine the average validation times for both, type A and type B messages.

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