$\backslash$table$[[$Amino acid,P$($ a $),$P$($ b$),$P$($ turn $),$f$($i$),$f$($i$+1),$f$($i$+2),$f$($i$+3)],[$Alanine$,142,83,66,0\mathrm{.}06,0\mathrm{.}076,0\mathrm{.}035,0\mathrm{.}058],[$Arginine$,98,93,95,0\mathrm{.}070,0\mathrm{.}106,0\mathrm{.}099,0\mathrm{.}085],[$Asparagine$,67,89,156,0\mathrm{.}161,0\mathrm{.}083,0\mathrm{.}191,0\mathrm{.}091],[$Aspartic acid,$101,54,146,0\mathrm{.}147,0\mathrm{.}110,0\mathrm{.}179,0\mathrm{.}081],[$Cysteine$,70,119,119,0\mathrm{.}149,0\mathrm{.}050,0\mathrm{.}117,0\mathrm{.}128],[$Clutamic acid,$151,37,74,0\mathrm{.}056,0\mathrm{.}060,0\mathrm{.}077,0\mathrm{.}064],[$Clutamine$,111,110,98,0\mathrm{.}074,0\mathrm{.}098,0\mathrm{.}037,0\mathrm{.}098],[$Glycine$,57,75,156,0\mathrm{.}102,0\mathrm{.}085,0\mathrm{.}190,0\mathrm{.}152],[$Histidine$,100,87,95,0\mathrm{.}140,0\mathrm{.}047,0\mathrm{.}093,0\mathrm{.}054],[$Isoleucine$,108,160,47,0\mathrm{.}043,0\mathrm{.}034,0\mathrm{.}013,0\mathrm{.}056],[$Leucine$,121,130,59,0\mathrm{.}061,0\mathrm{.}025,0\mathrm{.}036,0\mathrm{.}070],[$Lysine$,114,74,101,0\mathrm{.}055,0\mathrm{.}115,0\mathrm{.}072,0\mathrm{.}095],[$Methionine$,145,105,60,0\mathrm{.}068,0\mathrm{.}082,0\mathrm{.}014,0\mathrm{.}055],[$Phenylalanine$,113,138,60,0\mathrm{.}059,0\mathrm{.}041,0\mathrm{.}065,0\mathrm{.}065],[$Proline$,57,55,152,0\mathrm{.}102,0\mathrm{.}301,0\mathrm{.}034,0\mathrm{.}068],[$Serine$,77,75,143,0\mathrm{.}120,0\mathrm{.}139,0\mathrm{.}125,0\mathrm{.}106],[$Threonine$,83,119,96,0\mathrm{.}086,0\mathrm{.}108,0\mathrm{.}065,0\mathrm{.}079],[$Typtophan$,108,137,96,0\mathrm{.}077,0\mathrm{.}013,0\mathrm{.}064,0\mathrm{.}167],[$Tyrosine$,69,147,114,0\mathrm{.}082,0\mathrm{.}065,0\mathrm{.}114,0\mathrm{.}125],[$Valine$,106,170,50,0\mathrm{.}062,0\mathrm{.}048,0\mathrm{.}028,0\mathrm{.}053]]$

Predict the secondary structure of the following protein sequence using Chou$-$Fasman algorithm using the propensities given below. Show all the necessary calculations.

Met Pro Ala Phe Ser Val Ser Leu Ala Ser Gly Ala