Question

Problem 2. A group of 30 students are of increasing student number by comparing two at a time and swapping them if they are not in order What is the maximum number of swaps that we will need to do? You can assume that all students have distinct student numbers standing in a line. We plan to sort them into order

Answer 1

Poge No. OUv Date: Bubbla Sort Suppo se grven sequen co 30 29, ad, F1, 26, 25, 34, ,2, 1 we compore fish two eLameuts nd at ntu 29. tb zet ane! Susap So we 3 o 3o2, 37, Then we compare aal swap 30 utu 1 8 to aeh ping Coutinue is awd way After Swa 2,1 30 witu Rave We 29, a8, 27, 26, 2, 1, 30 Hence affer makiwa 2 Soaps 30 at qla ce in sorted we hase Lincreasing order ilory to ae Sosted inereasiug ardor. Swaps coTrect placo ib uoiol Sim at its 29 Th genernf, tsto Place Oreles Swaps at tts correct x Pla e m {ncreasi

Paga Na: Dala Youv tate number ofswabs tence + 24 | 29+38 +t -- 30 X 39 4 3 5 MCn+1) - +n Note 1+a3+ number of CLAIM Maxi mum 4 35 sdams not first elament 30 Su ppose was inihally. element xxth Let 3o was inihaly Rae taken30- ue Then_ ut Sast positr enol ofsF Fhe Swaps 3o Swaps to take eud oQst 30 30-2 takes Hence 29SwapsS marimum end is hally at tre take only hon fiast place is inihi

Pace No youvA Date: marimum mumber o S _place 30 the ast o ick ot maximum Taans to J&awnu to lace second ast at tue pošition ee Qish is and So Swaps ncreqs\ug_ order s o ^o nu Wnwixau to et tere sh in 1+a+ 3 + 435 Swaps aximum).