What are the mathematical steps in determining the following

What are the mathematical steps in determining the following message hash-value pairs which shows that there has or has not been a manipulation or corruption of the message or hash 1. x = TODAY IS THE FIRST DAYOF THERE STOFY OURLI FEXXX hash: NMRRH 2. x = THERE STOFY OURLI FEXXX hash: NMRRH Thanks so much!

Solution

If you look through all the options

a) x = MAKEH AYWHI LETHE SUNSH INESX      hash: QYAJD

(b) x = MAKEH AYWHI LETHE MOONS HINES      hash: QYAJD

(c) x = TODAY IS THE FIRST DAYOF THERE STOFY OURLI FEXXX hash: NMRRH

(d) x = THERE STOFY OURLI FEXXX          hash: NMRRH

Every word is of 5 character that has been hashed Like MAKEH,AYWHI,LETHE,MOONS,FEXXX etc
But if we see option (C) , IS THE is seperated by a space (and the number of character becomes 2 and 3) and it shows that there has been a manipulation or cuppuption in the message.

I hope it clarifies.Let me know if requires any more clarification.