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State Loop Invariant Strong Enough Prove Algorithm Correct Prove According Loop Correctnes Q43874030

State a loop invariant that is strong enough to prove the belowalgorithm is correct and PROVE it according to loop correctnessrules

• Initialization: It is true before the loop runs.
• Maintenance: If it’s true before an iteration of aloop, it remains true before the next iteration.
  • Termination: It will terminate in a useful way once itis finished.some valuesXnF(x,n)1112213214325328421043154316541522756211234

Consider the following algorithm. 1 F(x, n) % precondition: n is a positive integer and r is a positive n-bit integer (i.e., 2″-1 <r <2″) y + 2[n/27-1 stepy loop exit when step=1 step step/2 if (y + step2 <r then y + y + step end if end loop return y 13 end F Show transcribed image text Consider the following algorithm. 1 F(x, n) % precondition: n is a positive integer and r is a positive n-bit integer (i.e., 2″-1

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