}\sa60 \par \sa0\qj \fi0 {\f5\'CF}{\f5\'F0}{\f5\'E8}{\f5\'E2}{\f5\'E5}{\f5\'E4}{\f5\'E5}{\f5\'EC} {\f5\'EA}{\f5\'EE}{\f5\'ED}{\f5\'EA}{\f5\'F0}{\f5\'E5}{\f5\'F2}{\f5\'ED}{\f5\'FB}{\f5\'E5} {\f5\'E0}{\f5\'EB}{\f5\'E3}{\f5\'EE}{\f5\'F0}{\f5\'E8}{\f5\'F2}{\f5\'EC}{\f5\'FB} {\f5\'E4}{\f5\'EB}{\f5\'FF} {\f5\'E7}{\f5\'E0}{\f5\'F8}{\f5\'E8}{\f5\'F4}{\f5\'F0}{\f5\'EE}{\f5\'E2}{\f5\'E0}{\f5\'ED}{\f5\'E8}{\f5\'FF} {\f5\'E8} {\f5\'F0}{\f5\'E0}{\f5\'F1}{\f5\'F8}{\f5\'E8}{\f5\'F4}{\f5\'F0}{\f5\'EE}{\f5\'E2}{\f5\'E0}{\f5\'ED}{\f5\'E8}{\f5\'FF}. {\f5\'C4}{\f5\'EB}{\f5\'FF} {\f5\'ED}{\f5\'E0}{\f5\'F7}{\f5\'E0}{\f5\'EB}{\f5\'E0} {\f5\'EE}{\f5\'F2}{\f5\'EC}{\f5\'E5}{\f5\'F2}{\f5\'E8}{\f5\'EC}, {\f5\'F7}{\f5\'F2}{\f5\'EE} {\f5\'E4}{\f5\'EB}{\f5\'FF} {\f5\'EE}{\f5\'E1}{\f5\'EE}{\f5\'E8}{\f5\'F5} {\f5\'E0}{\f5\'EB}{\f5\'E3}{\f5\'EE}{\f5\'F0}{\f5\'E8}{\f5\'F2}{\f5\'EC}{\f5\'EE}{\f5\'E2} {\f5\'F0}{\f5\'E0}{\f5\'F3}{\f5\'ED}{\f5\'E4} {\f5\'F1}{\f5\'EE}{\f5\'F1}{\f5\'F2}{\f5\'EE}{\f5\'E8}{\f5\'F2} {\f5\'E8}{\f5\'E7} {\f5\'F7}{\f5\'E5}{\f5\'F2}{\f5\'FB}{\f5\'F0}{\f5\'E5}{\f5\'F5} {\f5\'FD}{\f5\'F2}{\f5\'E0}{\f5\'EF}{\f5\'EE}{\f5\'E2} ({\f5\'EF}{\f5\'F0}{\f5\'E5}{\f5\'EE}{\f5\'E1}{\f5\'F0}{\f5\'E0}{\f5\'E7}{\f5\'EE}{\f5\'E2}{\f5\'E0}{\f5\'ED}{\f5\'E8}{\f5\'E9} {\f5\'F0}{\f5\'E0}{\f5\'E7}{\f5\'EB}{\f5\'E8}{\f5\'F7}{\f5\'ED}{\f5\'EE}{\f5\'E3}{\f5\'EE} {\f5\'F5}{\f5\'E0}{\f5\'F0}{\f5\'E0}{\f5\'EA}{\f5\'F2}{\f5\'E5}{\f5\'F0}{\f5\'E0}).\par
\qj \fi300 {\f5\'CF}{\f5\'E5}{\f5\'F0}{\f5\'E2}{\f5\'EE}{\f5\'E5} {\f5\'EF}{\f5\'F0}{\f5\'E5}{\f5\'EE}{\f5\'E1}{\f5\'F0}{\f5\'E0}{\f5\'E7}{\f5\'EE}{\f5\'E2}{\f5\'E0}{\f5\'ED}{\f5\'E8}{\f5\'E5} \emdash {\f5\'FD}{\f5\'F2}{\f5\'EE} {\f5\'E2}{\f5\'E7}{\f5\'E0}{\f5\'E8}{\f5\'EC}{\f5\'EE}{\f5\'EE}{\f5\'E4}{\f5\'ED}{\f5\'EE}{\f5\'E7}{\f5\'ED}{\f5\'E0}{\f5\'F7}{\f5\'ED}{\f5\'E0}{\f5\'FF} {\f5\'E7}{\f5\'E0}{\f5\'EC}{\f5\'E5}{\f5\'ED}{\f5\'E0} {\f5\'EE}{\f5\'E4}{\f5\'ED}{\f5\'EE}{\f5\'E3}{\f5\'EE} {\f5\'E1}{\f5\'E0}{\f5\'E9}{\f5\'F2}{\f5\'E0} {\f5\'ED}{\f5\'E0} {\f5\'E4}{\f5\'F0}{\f5\'F3}{\f5\'E3}{\f5\'EE}{\f5\'E9}. {\f5\'DD}{\f5\'F2}{\f5\'EE} {\f5\'EF}{\f5\'F0}{\f5\'E5}{\f5\'EE}{\f5\'E1}{\f5\'F0}{\f5\'E0}{\f5\'E7}{\f5\'EE}{\f5\'E2}{\f5\'E0}{\f5\'ED}{\f5\'E8}{\f5\'E5} {\f5\'FF}{\f5\'E2}{\f5\'EB}{\f5\'FF}{\f5\'E5}{\f5\'F2}{\f5\'F1}{\f5\'FF} {\f5\'ED}{\f5\'E5}{\f5\'EB}{\f5\'E8}{\f5\'ED}{\f5\'E5}{\f5\'E9}{\f5\'ED}{\f5\'FB}{\f5\'EC}, {\f5\'E2} {\f5\'EB}{\f5\'E8}{\f5\'F2}{\f5\'E5}{\f5\'F0}{\f5\'E0}{\f5\'F2}{\f5\'F3}{\f5\'F0}{\f5\'E5} {\f5\'EE}{\f5\'ED}{\f5\'EE} {\f5\'ED}{\f5\'EE}{\f5\'F1}{\f5\'E8}{\f5\'F2} {\f5\'ED}{\f5\'E0}{\f5\'E7}{\f5\'E2}{\f5\'E0}{\f5\'ED}{\f5\'E8}{\f5\'E5} S-{\f5\'E1}{\f5\'EB}{\f5\'EE}{\f5\'EA}{\f5\'E0}. {\f5\'C2} {\f5\'EF}{\f5\'F0}{\f5\'EE}{\f5\'E3}{\f5\'F0}{\f5\'E0}{\f5\'EC}{\f5\'EC}{\f5\'ED}{\f5\'EE}{\f5\'E9} {\f5\'F0}{\f5\'E5}{\f5\'E0}{\f5\'EB}{\f5\'E8}{\f5\'E7}{\f5\'E0}{\f5\'F6}{\f5\'E8}{\f5\'E8} {\f5\'E7}{\f5\'E0} {\f5\'FD}{\f5\'F2}{\f5\'EE} {\f5\'EF}{\f5\'F0}{\f5\'E5}{\f5\'EE}{\f5\'E1}{\f5\'F0}{\f5\'E0}{\f5\'E7}{\f5\'EE}{\f5\'E2}{\f5\'E0}{\f5\'ED}{\f5\'E8}{\f5\'E5} {\f5\'EE}{\f5\'F2}{\f5\'E2}{\f5\'E5}{\f5\'F7}{\f5\'E0}{\f5\'E5}{\f5\'F2} {\f5\'F4}{\f5\'F3}{\f5\'ED}{\f5\'EA}{\f5\'F6}{\f5\'E8}{\f5\'FF} {\f18 SubBytes()}.\par
\qj \fi300 {\f5\'C2}{\f5\'F2}{\f5\'EE}{\f5\'F0}{\f5\'EE}{\f5\'E5} {\f5\'EF}{\f5\'F0}{\f5\'E5}{\f5\'EE}{\f5\'E1}{\f5\'F0}{\f5\'E0}{\f5\'E7}{\f5\'EE}{\f5\'E2}{\f5\'E0}{\f5\'ED}{\f5\'E8}{\f5\'E5} \emdash {\f5\'FD}{\f5\'F2}{\f5\'EE} {\f5\'F6}{\f5\'E8}{\f5\'EA}{\f5\'EB}{\f5\'E8}{\f5\'F7}{\f5\'E5}{\f5\'F1}{\f5\'EA}{\f5\'E8}{\f5\'E9} {\f5\'F1}{\f5\'E4}{\f5\'E2}{\f5\'E8}{\f5\'E3} {\f5\'E2}{\f5\'EB}{\f5\'E5}{\f5\'E2}{\f5\'EE} {\f5\'EA}{\f5\'E0}{\f5\'E6}{\f5\'E4}{\f5\'EE}{\f5\'E9} {\f5\'F1}{\f5\'F2}{\f5\'F0}{\f5\'EE}{\f5\'EA}{\f5\'E8} {\f5\'ED}{\f5\'E0} {\f5\'EE}{\f5\'EF}{\f5\'F0}{\f5\'E5}{\f5\'E4}{\f5\'E5}{\f5\'EB}{\f5\'E5}{\f5\'ED}{\f5\'ED}{\f5\'EE}{\f5\'E5} {\f5\'F7}{\f5\'E8}{\f5\'F1}{\f5\'EB}{\f5\'EE} {\f5\'EF}{\f5\'EE}{\f5\'E7}{\f5\'E8}{\f5\'F6}{\f5\'E8}{\f5\'E9}. {\f5\'C2} {\f5\'EF}{\f5\'F0}{\f5\'EE}{\f5\'E3}{\f5\'F0}{\f5\'E0}{\f5\'EC}{\f5\'EC}{\f5\'ED}{\f5\'EE}{\f5\'E9} {\f5\'F0}{\f5\'E5}{\f5\'E0}{\f5\'EB}{\f5\'E8}{\f5\'E7}{\f5\'E0}{\f5\'F6}{\f5\'E8}{\f5\'E8} {\f5\'E7}{\f5\'E0} {\f5\'FD}{\f5\'F2}{\f5\'EE} {\f5\'EF}{\f5\'F0}{\f5\'E5}{\f5\'EE}{\f5\'E1}{\f5\'F0}{\f5\'E0}{\f5\'E7}{\f5\'EE}{\f5\'E2}{\f5\'E0}{\f5\'ED}{\f5\'E8}{\f5\'E5} {\f5\'EE}{\f5\'F2}{\f5\'E2}{\f5\'E5}{\f5\'F7}{\f5\'E0}{\f5\'E5}{\f5\'F2} {\f5\'F4}{\f5\'F3}{\f5\'ED}{\f5\'EA}{\f5\'F6}{\f5\'E8}{\f5\'FF} {\f18 ShiftRows()}.\par
\qj \fi300 {\f5\'D2}{\f5\'F0}{\f5\'E5}{\f5\'F2}{\f5\'FC}{\f5\'E5} {\f5\'EF}{\f5\'F0}{\f5\'E5}{\f5\'EE}{\f5\'E1}{\f5\'F0}{\f5\'E0}{\f5\'E7}{\f5\'EE}{\f5\'E2}{\f5\'E0}{\f5\'ED}{\f5\'E8}{\f5\'E5} \emdash {\f5\'FD}{\f5\'F2}{\f5\'EE} {\f5\'EF}{\f5\'F0}{\f5\'E5}{\f5\'EE}{\f5\'E1}{\f5\'F0}{\f5\'E0}{\f5\'E7}{\f5\'F3}{\f5\'E5}{\f5\'F2} {\f5\'EA}{\f5\'E0}{\f5\'E6}{\f5\'E4}{\f5\'FB}{\f5\'E9} {\f5\'F1}{\f5\'F2}{\f5\'EE}{\f5\'EB}{\f5\'E1}{\f5\'E5}{\f5\'F6} {\f5\'E2} {\f5\'E4}{\f5\'F0}{\f5\'F3}{\f5\'E3}{\f5\'EE}{\f5\'E9} {\f5\'EF}{\f5\'EE} {\f5\'EE}{\f5\'EF}{\f5\'F0}{\f5\'E5}{\f5\'E4}{\f5\'E5}{\f5\'EB}{\f5\'E5}{\f5\'ED}{\f5\'ED}{\f5\'EE}{\f5\'EC}{\f5\'F3} {\f5\'EF}{\f5\'F0}{\f5\'E0}{\f5\'E2}{\f5\'E8}{\f5\'EB}{\f5\'F3}. {\f5\'C2} {\f5\'EF}{\f5\'F0}{\f5\'EE}{\f5\'E3}{\f5\'F0}{\f5\'E0}{\f5\'EC}{\f5\'EC}{\f5\'ED}{\f5\'EE}{\f5\'E9} {\f5\'F0}{\f5\'E5}{\f5\'E0}{\f5\'EB}{\f5\'E8}{\f5\'E7}{\f5\'E0}{\f5\'F6}{\f5\'E8}{\f5\'E8} {\f5\'E7}{\f5\'E0} {\f5\'FD}{\f5\'F2}{\f5\'EE} {\f5\'EF}{\f5\'F0}{\f5\'E5}{\f5\'EE}{\f5\'E1}{\f5\'F0}{\f5\'E0}{\f5\'E7}{\f5\'EE}{\f5\'E2}{\f5\'E0}{\f5\'ED}{\f5\'E8}{\f5\'E5} {\f5\'EE}{\f5\'F2}{\f5\'E2}{\f5\'E5}{\f5\'F7}{\f5\'E0}{\f5\'E5}{\f5\'F2} {\f5\'F4}{\f5\'F3}{\f5\'ED}{\f5\'EA}{\f5\'F6}{\f5\'E8}{\f5\'FF} {\f18 MixColumns()}. {\f5\'C2}{\f5\'F2}{\f5\'EE}{\f5\'F0}{\f5\'EE}{\f5\'E5} {\f5\'E8} {\f5\'F2}{\f5\'F0}{\f5\'E5}{\f5\'F2}{\f5\'FC}{\f5\'E5} {\f5\'EF}{\f5\'F0}{\f5\'E5}{\f5\'EE}{\f5\'E1}{\f5\'F0}{\f5\'E0}{\f5\'E7}{\f5\'EE}{\f5\'E2}{\f5\'E0}{\f5\'ED}{\f5\'E8}{\f5\'FF} {\f5\'E2}{\f5\'EC}{\f5\'E5}{\f5\'F1}{\f5\'F2}{\f5\'E5} {\f5\'EE}{\f5\'E1}{\f5\'F0}{\f5\'E0}{\f5\'E7}{\f5\'F3}{\f5\'FE}{\f5\'F2} {\f5\'EB}{\f5\'E8}{\f5\'ED}{\f5\'E5}{\f5\'E9}{\f5\'ED}{\f5\'EE}{\f5\'E5}, {\f5\'E2} {\f5\'EB}{\f5\'E8}{\f5\'F2}{\f5\'E5}{\f5\'F0}{\f5\'E0}{\f5\'F2}{\f5\'F3}{\f5\'F0}{\f5\'E5} {\f5\'EE}{\f5\'ED}{\f5\'EE} {\f5\'ED}{\f5\'EE}{\f5\'F1}{\f5\'E8}{\f5\'F2} {\f5\'ED}{\f5\'E0}{\f5\'E7}{\f5\'E2}{\f5\'E0}{\f5\'ED}{\f5\'E8}{\f5\'E5} P-{\f5\'E1}{\f5\'EB}{\f5\'EE}{\f5\'EA}{\f5\'E0}.\par
\qj \fi300 {\f5\'D7}{\f5\'E5}{\f5\'F2}{\f5\'E2}{\f5\'E5}{\f5\'F0}{\f5\'F2}{\f5\'EE}{\f5\'E5} {\f5\'EF}{\f5\'F0}{\f5\'E5}{\f5\'EE}{\f5\'E1}{\f5\'F0}{\f5\'E0}{\f5\'E7}{\f5\'EE}{\f5\'E2}{\f5\'E0}{\f5\'ED}{\f5\'E8}{\f5\'E5} \emdash {\f5\'FD}{\f5\'F2}{\f5\'EE} {\f5\'F1}{\f5\'EB}{\f5\'EE}{\f5\'E6}{\f5\'E5}{\f5\'ED}{\f5\'E8}{\f5\'E5} {\f5\'EF}{\f5\'EE} {\f5\'EC}{\f5\'EE}{\f5\'E4}{\f5\'F3}{\f5\'EB}{\f5\'FE} {2} {\f5\'F2}{\f5\'E5}{\f5\'EA}{\f5\'F3}{\f5\'F9}{\f5\'E5}{\f5\'E3}{\f5\'EE} {\f5\'F1}{\f5\'EE}{\f5\'F1}{\f5\'F2}{\f5\'EE}{\f5\'FF}{\f5\'ED}{\f5\'E8}{\f5\'FF} {\f5\'E8} {\f5\'EA}{\f5\'EB}{\f5\'FE}{\f5\'F7}{\f5\'E0} {\f5\'F0}{\f5\'E0}{\f5\'F3}{\f5\'ED}{\f5\'E4}{\f5\'E0}. {\f5\'C2} {\f5\'EF}{\f5\'F0}{\f5\'EE}{\f5\'E3}{\f5\'F0}{\f5\'E0}{\f5\'EC}{\f5\'EC}{\f5\'ED}{\f5\'EE}{\f5\'E9} {\f5\'F0}{\f5\'E5}{\f5\'E0}{\f5\'EB}{\f5\'E8}{\f5\'E7}{\f5\'E0}{\f5\'F6}{\f5\'E8}{\f5\'E8} {\f5\'E7}{\f5\'E0} {\f5\'FD}{\f5\'F2}{\f5\'EE} {\f5\'EF}{\f5\'F0}{\f5\'E5}{\f5\'EE}{\f5\'E1}{\f5\'F0}{\f5\'E0}{\f5\'E7}{\f5\'EE}{\f5\'E2}{\f5\'E0}{\f5\'ED}{\f5\'E8}{\f5\'E5} {\f5\'EE}{\f5\'F2}{\f5\'E2}{\f5\'E5}{\f5\'F7}{\f5\'E0}{\f5\'E5}{\f5\'F2} {\f5\'F4}{\f5\'F3}{\f5\'ED}{\f5\'EA}{\f5\'F6}{\f5\'E8}{\f5\'FF} {\f18 AddRoundKey()}.\par
\qj \fi0 \sa120 \par
\sa0{\plain\b\fs24 2.4.1 \qj \fi0 {\f5\'C7}{\f5\'E0}{\f5\'F8}{\f5\'E8}{\f5\'F4}{\f5\'F0}{\f5\'EE}{\f5\'E2}{\f5\'E0}{\f5\'ED}{\f5\'E8}{\f5\'E5}.\par
}\sa60 \par \sa0\qj \fi0 {\f5\'CF}{\f5\'EE}{\f5\'EB}{\f5\'ED}{\f5\'FB}{\f5\'E9} {\f5\'E0}{\f5\'EB}{\f5\'E3}{\f5\'EE}{\f5\'F0}{\f5\'E8}{\f5\'F2}{\f5\'EC} {\f5\'E7}{\f5\'E0}{\f5\'F8}{\f5\'E8}{\f5\'F4}{\f5\'F0}{\f5\'EE}{\f5\'E2}{\f5\'E0}{\f5\'ED}{\f5\'E8}{\f5\'FF} {\f5\'EE}{\f5\'EF}{\f5\'E8}{\f5\'F1}{\f5\'E0}{\f5\'ED} {\f5\'F1}{\f5\'EB}{\f5\'E5}{\f5\'E4}{\f5\'F3}{\f5\'FE}{\f5\'F9}{\f5\'E8}{\f5\'EC} {\f5\'EE}{\f5\'E1}{\f5\'F0}{\f5\'E0}{\f5\'E7}{\f5\'EE}{\f5\'EC}: {\par
\qj \fi0 \pard\ql\b0\i0\scaps0\f18
\par state = inp
\par
\par AddRoundKey(state, w[0..1])
\par for round = 1 step 1 to Nr1
\par SubBytes(state)
\par ShiftRows(state)
\par MixColumns(state)
\par AddRoundKey(state, w[round*Nb..round*Nb+1])
\par end for
\par SubBytes(state)
\par ShiftRows(state)
\par AddRoundKey(state, w[Nr*Nb..Nr*Nb+1])
\par
\par out = state
\par \par
}\qj \fi300 {\f5\'CE}{\f5\'F2}{\f5\'EA}{\f5\'F3}{\f5\'E4}{\f5\'E0} {\f5\'E2}{\f5\'E8}{\f5\'E4}{\f5\'ED}{\f5\'EE}, {\f5\'F7}{\f5\'F2}{\f5\'EE} {\f5\'EF}{\f5\'EE}{\f5\'F1}{\f5\'EB}{\f5\'E5}{\f5\'E4}{\f5\'ED}{\f5\'E8}{\f5\'E9} {\f5\'F0}{\f5\'E0}{\f5\'F3}{\f5\'ED}{\f5\'E4} {\f5\'EE}{\f5\'F2}{\f5\'EB}{\f5\'E8}{\f5\'F7}{\f5\'E0}{\f5\'E5}{\f5\'F2}{\f5\'F1}{\f5\'FF} {\f5\'EE}{\f5\'F2} {\f5\'E2}{\f5\'F1}{\f5\'E5}{\f5\'F5} {\f5\'EE}{\f5\'F2}{\f5\'F1}{\f5\'F3}{\f5\'F2}{\f5\'F1}{\f5\'F2}{\f5\'E2}{\f5\'E8}{\f5\'E5}{\f5\'EC} {\f5\'EF}{\f5\'F0}{\f5\'E5}{\f5\'EE}{\f5\'E1}{\f5\'F0}{\f5\'E0}{\f5\'E7}{\f5\'EE}{\f5\'E2}{\f5\'E0}{\f5\'ED}{\f5\'E8}{\f5\'FF} {\f18 MixColumns()}. {\f5\'CA}{\f5\'F0}{\f5\'EE}{\f5\'EC}{\f5\'E5} {\f5\'F2}{\f5\'EE}{\f5\'E3}{\f5\'EE}, {\f5\'EC}{\f5\'EE}{\f5\'E6}{\f5\'ED}{\f5\'EE} {\f5\'F3}{\f5\'F1}{\f5\'EB}{\f5\'EE}{\f5\'E2}{\f5\'ED}{\f5\'EE} {\f5\'F0}{\f5\'E0}{\f5\'F1}{\f5\'F1}{\f5\'EC}{\f5\'E0}{\f5\'F2}{\f5\'F0}{\f5\'E8}{\f5\'E2}{\f5\'E0}{\f5\'F2}{\f5\'FC} {\f5\'EF}{\f5\'E5}{\f5\'F0}{\f5\'E2}{\f5\'EE}{\f5\'E5} {\f5\'EF}{\f5\'F0}{\f5\'E5}{\f5\'EE}{\f5\'E1}{\f5\'F0}{\f5\'E0}{\f5\'E7}{\f5\'EE}{\f5\'E2}{\f5\'E0}{\f5\'ED}{\f5\'E8}{\f5\'E5} {\f18 AddRoundKey()} {\f5\'EA}{\f5\'E0}{\f5\'EA} 0 {\f5\'F0}{\f5\'E0}{\f5\'F3}{\f5\'ED}{\f5\'E4}.\par
\qj \fi0 \sa120 \par
\sa0{\plain\b \qj \fi0 {\f5\'CF}{\f5\'F0}{\f5\'E5}{\f5\'EE}{\f5\'E1}{\f5\'F0}{\f5\'E0}{\f5\'E7}{\f5\'EE}{\f5\'E2}{\f5\'E0}{\f5\'ED}{\f5\'E8}{\f5\'E5} \i0\scaps0\b0\f11 {\f18 SubBytes()}.} \par
\qj \fi0 {\f5\'D3}{\f5\'EF}{\f5\'F0}{\f5\'EE}{\f5\'F9}{\f5\'E5}{\f5\'ED}{\f5\'E8}{\f5\'E5} {\f5\'E4}{\f5\'E0}{\f5\'ED}{\f5\'ED}{\f5\'EE}{\f5\'E3}{\f5\'EE} {\f5\'EF}{\f5\'F0}{\f5\'E5}{\f5\'EE}{\f5\'E1}{\f5\'F0}{\f5\'E0}{\f5\'E7}{\f5\'EE}{\f5\'E2}{\f5\'E0}{\f5\'ED}{\f5\'E8}{\f5\'FF} {\f5\'FF}{\f5\'E2}{\f5\'EB}{\f5\'FF}{\f5\'E5}{\f5\'F2}{\f5\'F1}{\f5\'FF} {\f5\'F1}{\f5\'E0}{\f5\'EC}{\f5\'FB}{\f5\'EC} {\f5\'E7}{\f5\'ED}{\f5\'E0}{\f5\'F7}{\f5\'E8}{\f5\'EC}{\f5\'FB}{\f5\'EC}, {\f5\'F2}{\f5\'E0}{\f5\'EA} {\f5\'EA}{\f5\'E0}{\f5\'EA} {\f5\'E2}{\f5\'FB}{\f5\'E1}{\f5\'EE}{\f5\'F0} {\f5\'EE}{\f5\'EF}{\f5\'F0}{\f5\'E5}{\f5\'E4}{\f5\'E5}{\f5\'EB}{\f5\'E5}{\f5\'ED}{\f5\'ED}{\f5\'EE}{\f5\'E3}{\f5\'EE} S-{\f5\'E1}{\f5\'EB}{\f5\'EE}{\f5\'EA}{\f5\'E0} {\f5\'F1}{\f5\'E8}{\f5\'EB}{\f5\'FC}{\f5\'ED}{\f5\'EE} {\f5\'F1}{\f5\'EA}{\f5\'E0}{\f5\'E7}{\f5\'FB}{\f5\'E2}{\f5\'E0}{\f5\'E5}{\f5\'F2}{\f5\'F1}{\f5\'FF} {\f5\'ED}{\f5\'E0} {\f5\'F0}{\f5\'E5}{\f5\'E7}{\f5\'F3}{\f5\'EB}{\f5\'FC}{\f5\'F2}{\f5\'E0}{\f5\'F2}{\f5\'E0}{\f5\'F5} {\f5\'EC}{\f5\'E5}{\f5\'F2}{\f5\'EE}{\f5\'E4}{\f5\'EE}{\f5\'E2} {\f5\'EA}{\f5\'F0}{\f5\'E8}{\f5\'EF}{\f5\'F2}{\f5\'EE}{\f5\'E0}{\f5\'ED}{\f5\'E0}{\f5\'EB}{\f5\'E8}{\f5\'E7}{\f5\'E0}.\par
\qj \fi300 {\f5\'C2}{\f5\'EE}-{\f5\'EF}{\f5\'E5}{\f5\'F0}{\f5\'E2}{\f5\'FB}{\f5\'F5}, {\f5\'E7}{\f5\'E0}{\f5\'E4}{\f5\'E0}{\f5\'E4}{\f5\'E8}{\f5\'EC} {\f5\'EF}{\f5\'EE}{\f5\'E4}{\f5\'F1}{\f5\'F2}{\f5\'E0}{\f5\'ED}{\f5\'EE}{\f5\'E2}{\f5\'EA}{\f5\'F3} {{\field{\*\fldinst{ EQ {\i S}{\dn6\fs16 16}}}{\fldrslt }}}, {\f5\'EA}{\f5\'EE}{\f5\'F2}{\f5\'EE}{\f5\'F0}{\f5\'E0}{\f5\'FF} {\f5\'E4}{\f5\'E5}{\f5\'E9}{\f5\'F1}{\f5\'F2}{\f5\'E2}{\f5\'F3}{\f5\'E5}{\f5\'F2} {\f5\'ED}{\f5\'E0} {\f5\'EF}{\f5\'EE}{\f5\'EB}{\f5\'F3}{\f5\'E1}{\f5\'E0}{\f5\'E9}{\f5\'F2}{\f5\'E5}. \par\par
{\pard\tqc\tx3450\tqr\tx6900
\tab {\field{\*\fldinst{ EQ { \\a \\ac \\co16 (\i0\scaps0\b0\f18 0,\i0\scaps0\b0\f18 1,\i0\scaps0\b0\f18 2,\i0\scaps0\b0\f18 3,\i0\scaps0\b0\f18 4,\i0\scaps0\b0\f18 5,\i0\scaps0\b0\f18 6,\i0\scaps0\b0\f18 7,\i0\scaps0\b0\f18 8,\i0\scaps0\b0\f18 9,\i0\scaps0\b0\f18 {\i A},\i0\scaps0\b0\f18 {\i B},\i0\scaps0\b0\f18 {\i C},\i0\scaps0\b0\f18 {\i D},\i0\scaps0\b0\f18 {\i E},\i0\scaps0\b0\f18 {\i F},{\f9\'af},{\f9\'af},{\f9\'af},{\f9\'af},{\f9\'af},{\f9\'af},{\f9\'af},{\f9\'af},{\f9\'af},{\f9\'af},{\f9\'af},{\f9\'af},{\f9\'af},{\f9\'af},{\f9\'af},{\f9\'af},\i0\scaps0\b0\f18 9,\i0\scaps0\b0\f18 {\i B},\i0\scaps0\b0\f18 8,\i0\scaps0\b0\f18 {\i E},\i0\scaps0\b0\f18 {\i A},\i0\scaps0\b0\f18 {\i C},\i0\scaps0\b0\f18 6,\i0\scaps0\b0\f18 4,\i0\scaps0\b0\f18 {\i D},\i0\scaps0\b0\f18 {\i F},\i0\scaps0\b0\f18 1,\i0\scaps0\b0\f18 3,\i0\scaps0\b0\f18 5,\i0\scaps0\b0\f18 7,\i0\scaps0\b0\f18 2,\i0\scaps0\b0\f18 0,)}}}{\fldrslt }}\par\par
}\qj \fi300 {\f5\'C2}{\f5\'EE}-{\f5\'E2}{\f5\'F2}{\f5\'EE}{\f5\'F0}{\f5\'FB}{\f5\'F5}, {\f5\'F0}{\f5\'E0}{\f5\'E7}{\f5\'E4}{\f5\'E5}{\f5\'EB}{\f5\'E8}{\f5\'EC} {\f5\'E1}{\f5\'E0}{\f5\'E9}{\f5\'F2} {{\i s}} {\f5\'ED}{\f5\'E0} {\f5\'F1}{\f5\'F2}{\f5\'E0}{\f5\'F0}{\f5\'F8}{\f5\'E8}{\f5\'E5} {{\field{\*\fldinst{ EQ {\i s}{\dn6\fs16 {\i H}}}}{\fldrslt }}} {\f5\'E8} {\f5\'EC}{\f5\'EB}{\f5\'E0}{\f5\'E4}{\f5\'F8}{\f5\'E8}{\f5\'E5} {\f5\'EF}{\f5\'EE}{\f5\'EB}{\f5\'F3}{\f5\'E1}{\f5\'E0}{\f5\'E9}{\f5\'F2}{\f5\'FB} {{\field{\*\fldinst{ EQ {\i s}{\dn6\fs16 {\i L}}}}{\fldrslt }}}. {\f5\'CD}{\f5\'E5}{\f5\'EB}{\f5\'E8}{\f5\'ED}{\f5\'E5}{\f5\'E9}{\f5\'ED}{\f5\'EE}{\f5\'E5} {\f5\'EF}{\f5\'F0}{\f5\'E5}{\f5\'EE}{\f5\'E1}{\f5\'F0}{\f5\'E0}{\f5\'E7}{\f5\'EE}{\f5\'E2}{\f5\'E0}{\f5\'ED}{\f5\'E8}{\f5\'E5} {{\f18 {\i S}{\i B}}[{\i s}]} {\f5\'E1}{\f5\'E0}{\f5\'E9}{\f5\'F2}{\f5\'E0} {{\i s}} {\f5\'F1}{\f5\'F2}{\f5\'F0}{\f5\'EE}{\f5\'E8}{\f5\'F2}{\f5\'F1}{\f5\'FF} {\f5\'F1}{\f5\'EB}{\f5\'E5}{\f5\'E4}{\f5\'F3}{\f5\'FE}{\f5\'F9}{\f5\'E8}{\f5\'EC} {\f5\'EE}{\f5\'E1}{\f5\'F0}{\f5\'E0}{\f5\'E7}{\f5\'EE}{\f5\'EC} \par\par
{\pard\tqc\tx3450\tqr\tx6900
\tab {\field{\*\fldinst{ EQ {\f18 {\i S}{\i B}}[{\i s}]={\f18 {\i S}{\i B}}[{\i s}{\dn6\fs16 {\i H}}{\i s}{\dn6\fs16 {\i L}}]=[{\i S}{\dn6\fs16 16}\\({\i s}{\dn6\fs16 {\i H}}\\){\i S}{\dn6\fs16 16}\\({\i s}{\dn6\fs16 {\i L}}\\)].}}{\fldrslt }}\par\par
}\qj \fi300 {\f5\'C4}{\f5\'F0}{\f5\'F3}{\f5\'E3}{\f5\'E8}{\f5\'EC}{\f5\'E8} {\f5\'F1}{\f5\'EB}{\f5\'EE}{\f5\'E2}{\f5\'E0}{\f5\'EC}{\f5\'E8}, {\f5\'EC}{\f5\'FB} {\f5\'E7}{\f5\'E0}{\f5\'EC}{\f5\'E5}{\f5\'ED}{\f5\'FF}{\f5\'E5}{\f5\'EC} {\f5\'EA}{\f5\'E0}{\f5\'E6}{\f5\'E4}{\f5\'F3}{\f5\'FE} {\f5\'F8}{\f5\'E5}{\f5\'F1}{\f5\'F2}{\f5\'ED}{\f5\'E0}{\f5\'E4}{\f5\'F6}{\f5\'E0}{\f5\'F2}{\f5\'E5}{\f5\'F0}{\f5\'E8}{\f5\'F7}{\f5\'ED}{\f5\'F3}{\f5\'FE} {\f5\'F6}{\f5\'E8}{\f5\'F4}{\f5\'F0}{\f5\'F3} {\f5\'ED}{\f5\'E0} {\f5\'E4}{\f5\'F0}{\f5\'F3}{\f5\'E3}{\f5\'F3}{\f5\'FE} {\f5\'E2} {\f5\'F1}{\f5\'EE}{\f5\'EE}{\f5\'F2}{\f5\'E2}{\f5\'E5}{\f5\'F2}{\f5\'F1}{\f5\'F2}{\f5\'E2}{\f5\'E8}{\f5\'E8} {\f5\'F1} {\f5\'EF}{\f5\'EE}{\f5\'E4}{\f5\'F1}{\f5\'F2}{\f5\'E0}{\f5\'ED}{\f5\'EE}{\f5\'E2}{\f5\'EA}{\f5\'EE}{\f5\'E9} {{\field{\*\fldinst{ EQ {\i S}{\dn6\fs16 16}}}{\fldrslt }}}.\par
\qj \fi300 {\f5\'C8}{\f5\'F2}{\f5\'EE}{\f5\'E3}{\f5\'EE}{\f5\'E2}{\f5\'EE}{\f5\'E5} {\f5\'EF}{\f5\'F0}{\f5\'E5}{\f5\'EE}{\f5\'E1}{\f5\'F0}{\f5\'E0}{\f5\'E7}{\f5\'EE}{\f5\'E2}{\f5\'E0}{\f5\'ED}{\f5\'E8}{\f5\'E5} {\f18 SubBytes()} {\f5\'E7}{\f5\'E0}{\f5\'EC}{\f5\'E5}{\f5\'ED}{\f5\'FF}{\f5\'E5}{\f5\'F2} {\f5\'EA}{\f5\'E0}{\f5\'E6}{\f5\'E4}{\f5\'FB}{\f5\'E9} {\f5\'E1}{\f5\'E0}{\f5\'E9}{\f5\'F2} {{\field{\*\fldinst{ EQ {\i s}{\dn6\fs16 {\i i}}}}{\fldrslt }}} {\f5\'ED}{\f5\'E0} {{\field{\*\fldinst{ EQ {\f18 {\i S}{\i B}}[{\i s}{\dn6\fs16 {\i i}}]}}{\fldrslt }}}.\par
\qj \fi0 \sa120 \par
\sa0{\plain\b \qj \fi0 {\f5\'CF}{\f5\'F0}{\f5\'E5}{\f5\'EE}{\f5\'E1}{\f5\'F0}{\f5\'E0}{\f5\'E7}{\f5\'EE}{\f5\'E2}{\f5\'E0}{\f5\'ED}{\f5\'E8}{\f5\'E5} \i0\scaps0\b0\f11 {\f18 ShiftRows()}.} \par
\qj \fi0 {\f5\'D2}{\f5\'E0}{\f5\'EA} {\f5\'EA}{\f5\'E0}{\f5\'EA} {\f5\'F3} {\f5\'ED}{\f5\'E0}{\f5\'F1} {\f5\'E2}{\f5\'F1}{\f5\'E5}{\f5\'E3}{\f5\'EE} {\f5\'E4}{\f5\'E2}{\f5\'E5} {\f5\'F1}{\f5\'F2}{\f5\'F0}{\f5\'EE}{\f5\'EA}{\f5\'E8}, {\f5\'F2}{\f5\'EE} {\f5\'EF}{\f5\'E5}{\f5\'F0}{\f5\'E2}{\f5\'E0}{\f5\'FF} {\f5\'F1}{\f5\'F2}{\f5\'F0}{\f5\'EE}{\f5\'EA}{\f5\'E0} {\f5\'EE}{\f5\'F1}{\f5\'F2}{\f5\'E0}{\f5\'E5}{\f5\'F2}{\f5\'F1}{\f5\'FF} {\f5\'ED}{\f5\'E0} {\f5\'EC}{\f5\'E5}{\f5\'F1}{\f5\'F2}{\f5\'E5} ({\f5\'F1}{\f5\'E4}{\f5\'E2}{\f5\'E8}{\f5\'E3} {\f5\'ED}{\f5\'E0} 0 {\f5\'EF}{\f5\'EE}{\f5\'E7}{\f5\'E8}{\f5\'F6}{\f5\'E8}{\f5\'E9}), {\f5\'E0} {\f5\'E2}{\f5\'F2}{\f5\'EE}{\f5\'F0}{\f5\'E0}{\f5\'FF} {\f5\'ED}{\f5\'E0} 1 {\f5\'EF}{\f5\'EE}{\f5\'E7}{\f5\'E8}{\f5\'F6}{\f5\'E8}{\f5\'FE}.\par
\qj \fi0 \sa120 \par
\sa0{\plain\b \qj \fi0 {\f5\'CF}{\f5\'F0}{\f5\'E5}{\f5\'EE}{\f5\'E1}{\f5\'F0}{\f5\'E0}{\f5\'E7}{\f5\'EE}{\f5\'E2}{\f5\'E0}{\f5\'ED}{\f5\'E8}{\f5\'E5} \i0\scaps0\b0\f11 {\f18 MixColumns()}.} \par
\qj \fi0 {\f5\'CA}{\f5\'E0}{\f5\'E6}{\f5\'E4}{\f5\'FB}{\f5\'E9} {\f5\'F1}{\f5\'F2}{\f5\'EE}{\f5\'EB}{\f5\'E1}{\f5\'E5}{\f5\'F6} {\f5\'ED}{\f5\'E0}{\f5\'F8}{\f5\'E5}{\f5\'E9} {\f5\'F1}{\f5\'E8}{\f5\'F1}{\f5\'F2}{\f5\'E5}{\f5\'EC}{\f5\'FB} {\f5\'EC}{\f5\'EE}{\f5\'E6}{\f5\'ED}{\f5\'EE} {\f5\'EF}{\f5\'F0}{\f5\'E5}{\f5\'E4}{\f5\'F1}{\f5\'F2}{\f5\'E0}{\f5\'E2}{\f5\'E8}{\f5\'F2}{\f5\'FC} {\f5\'EA}{\f5\'E0}{\f5\'EA} {\f5\'EF}{\f5\'EE}{\f5\'EB}{\f5\'E8}{\f5\'ED}{\f5\'EE}{\f5\'EC} 1 {\f5\'F1}{\f5\'F2}{\f5\'E5}{\f5\'EF}{\f5\'E5}{\f5\'ED}{\f5\'E8} {\f5\'F1} {\f5\'EA}{\f5\'EE}{\f5\'FD}{\f5\'F4}{\f5\'F4}{\f5\'E8}{\f5\'F6}{\f5\'E8}{\f5\'E5}{\f5\'ED}{\f5\'F2}{\f5\'E0}{\f5\'EC}{\f5\'E8} {\f5\'ED}{\f5\'E0}{\f5\'E4} {\f5\'EF}{\f5\'EE}{\f5\'EB}{\f5\'E5}{\f5\'EC} {{\field{\*\fldinst{ EQ {GF}\\(2\\s\\up5({\fs16 8})\\)}}{\fldrslt }}}. {\f5\'CF}{\f5\'F0}{\f5\'E5}{\f5\'EE}{\f5\'E1}{\f5\'F0}{\f5\'E0}{\f5\'E7}{\f5\'EE}{\f5\'E2}{\f5\'E0}{\f5\'ED}{\f5\'E8}{\f5\'E5} {\f18 MixColumns()} {\f5\'E7}{\f5\'E0}{\f5\'EC}{\f5\'E5}{\f5\'ED}{\f5\'FF}{\f5\'E5}{\f5\'F2} {\f5\'EA}{\f5\'E0}{\f5\'E6}{\f5\'E4}{\f5\'FB}{\f5\'E9} {\f5\'F1}{\f5\'F2}{\f5\'EE}{\f5\'EB}{\f5\'E1}{\f5\'E5}{\f5\'F6} {{\field{\*\fldinst{ EQ [{\i s}{\dn6\fs16 0}{\fs15 }{\i s}{\dn6\fs16 1}]}}{\fldrslt }}} {\f5\'ED}{\f5\'E0} {\f5\'E4}{\f5\'F0}{\f5\'F3}{\f5\'E3}{\f5\'EE}{\f5\'E9} {{\field{\*\fldinst{ EQ [{\i s}'{\dn6\fs16 0}{\fs15 }{\i s}'{\dn6\fs16 1}]}}{\fldrslt }}} {\f5\'EF}{\f5\'EE} {\f5\'F1}{\f5\'EB}{\f5\'E5}{\f5\'E4}{\f5\'F3}{\f5\'FE}{\f5\'F9}{\f5\'E5}{\f5\'EC}{\f5\'F3} {\f5\'EF}{\f5\'F0}{\f5\'E0}{\f5\'E2}{\f5\'E8}{\f5\'EB}{\f5\'F3} {{\i s}'({\i x})={\i a}({\i x}){\f9\'c4}{\i s}({\i x})}, {\f5\'E3}{\f5\'E4}{\f5\'E5} {{\i a}({\i x})={\f18 03}{\i x}+{\f18 02}}: \par\par
{\pard\tqc\tx3450\tqr\tx6900
\tab {\field{\*\fldinst{ EQ \\b \\bc\\[ ({ \\a \\ac \\co1 ({\i s}'{\dn6\fs16 0},{\i s}'{\dn6\fs16 1},)})= \\b \\bc\\[ ({ \\a \\ac \\co2 ({\f18 02},{\f18 03},{\f18 03},{\f18 02},)}) \\b \\bc\\[ ({ \\a \\ac \\co1 ({\i s}{\dn6\fs16 0},{\i s}{\dn6\fs16 1},)})}}{\fldrslt }}\par\par
}\qj \fi0 \sa120 \par
\sa0{\plain\b \qj \fi0 {\f5\'CF}{\f5\'F0}{\f5\'E5}{\f5\'EE}{\f5\'E1}{\f5\'F0}{\f5\'E0}{\f5\'E7}{\f5\'EE}{\f5\'E2}{\f5\'E0}{\f5\'ED}{\f5\'E8}{\f5\'E5} \i0\scaps0\b0\f11 {\f18 AddRoundKey()}.} {\f5\'DD}{\f5\'F2}{\f5\'EE} {\f5\'EF}{\f5\'F0}{\f5\'E5}{\f5\'EE}{\f5\'E1}{\f5\'F0}{\f5\'E0}{\f5\'E7}{\f5\'EE}{\f5\'E2}{\f5\'E0}{\f5\'ED}{\f5\'E8}{\f5\'E5} {\f5\'EE}{\f5\'F1}{\f5\'F2}{\f5\'E0}{\f5\'E5}{\f5\'F2}{\f5\'F1}{\f5\'FF} {\f5\'E1}{\f5\'E5}{\f5\'E7} {\f5\'E8}{\f5\'E7}{\f5\'EC}{\f5\'E5}{\f5\'ED}{\f5\'E5}{\f5\'ED}{\f5\'E8}{\f5\'E9}. {\f5\'CE}{\f5\'ED}{\f5\'EE} {\f5\'E7}{\f5\'E0}{\f5\'EA}{\f5\'EB}{\f5\'FE}{\f5\'F7}{\f5\'E0}{\f5\'E5}{\f5\'F2}{\f5\'F1}{\f5\'FF} {\f5\'E2} {\f5\'F2}{\f5\'EE}{\f5\'EC}, {\f5\'F7}{\f5\'F2}{\f5\'EE} {\f5\'EA}{\f5\'E0}{\f5\'E6}{\f5\'E4}{\f5\'FB}{\f5\'E9} {\f5\'F1}{\f5\'F2}{\f5\'EE}{\f5\'EB}{\f5\'E1}{\f5\'E5}{\f5\'F6} {{\field{\*\fldinst{ EQ [{\i s}{\dn6\fs16 0+2{\f9\'d7}{\i c}}{\fs15 }{\i s}{\dn6\fs16 1+2{\f9\'d7}{\i c}}]}}{\fldrslt }}} {\f5\'F1}{\f5\'EA}{\f5\'EB}{\f5\'E0}{\f5\'E4}{\f5\'FB}{\f5\'E2}{\f5\'E0}{\f5\'E5}{\f5\'F2}{\f5\'F1}{\f5\'FF} {\f5\'F1} 16-{\f5\'E1}{\f5\'E8}{\f5\'F2}{\f5\'ED}{\f5\'FB}{\f5\'EC} {\f5\'F1}{\f5\'EB}{\f5\'EE}{\f5\'E2}{\f5\'EE}{\f5\'EC} {\f5\'F0}{\f5\'E0}{\f5\'F1}{\f5\'F8}{\f5\'E8}{\f5\'F0}{\f5\'E5}{\f5\'ED}{\f5\'ED}{\f5\'EE}{\f5\'E3}{\f5\'EE} {\f5\'EA}{\f5\'EB}{\f5\'FE}{\f5\'F7}{\f5\'E0} {{\field{\*\fldinst{ EQ {\i w}{\dn6\fs16 {\i r}{\i o}{\i u}{\i n}{\i d}{\f9\'d7}{\i N}{\i b}+{\i c}}}}{\fldrslt }}}\par
\qj \fi0 \sa120 \par
\sa0{\plain\b\fs24 2.4.2 \qj \fi0 {\f5\'D0}{\f5\'E0}{\f5\'F1}{\f5\'F8}{\f5\'E8}{\f5\'F4}{\f5\'F0}{\f5\'EE}{\f5\'E2}{\f5\'E0}{\f5\'ED}{\f5\'E8}{\f5\'E5}.\par
}\sa60 \par \sa0\qj \fi0 {\f5\'CF}{\f5\'EE}{\f5\'EB}{\f5\'ED}{\f5\'FB}{\f5\'E9} {\f5\'E0}{\f5\'EB}{\f5\'E3}{\f5\'EE}{\f5\'F0}{\f5\'E8}{\f5\'F2}{\f5\'EC} {\f5\'F0}{\f5\'E0}{\f5\'F1}{\f5\'F8}{\f5\'E8}{\f5\'F4}{\f5\'F0}{\f5\'EE}{\f5\'E2}{\f5\'E0}{\f5\'ED}{\f5\'E8}{\f5\'FF} {\f5\'EE}{\f5\'EF}{\f5\'E8}{\f5\'F1}{\f5\'E0}{\f5\'ED} {\f5\'F1}{\f5\'EB}{\f5\'E5}{\f5\'E4}{\f5\'F3}{\f5\'FE}{\f5\'F9}{\f5\'E8}{\f5\'EC} {\f5\'EE}{\f5\'E1}{\f5\'F0}{\f5\'E0}{\f5\'E7}{\f5\'EE}{\f5\'EC}: {\par
\qj \fi0 \pard\ql\b0\i0\scaps0\f18
\par state = inp
\par
\par AddRoundKey(state, w[Nr*Nb..Nr*Nb+1])
\par for round = Nr-1 step -1 downto 1
\par ShiftRows(state)
\par InvSubBytes(state)
\par AddRoundKey(state, w[round*Nb..round*Nb+1])
\par MixColumns(state)
\par end for
\par ShiftRows(state)
\par InvSubBytes(state)
\par AddRoundKey(state, w[0..1])
\par
\par out = state
\par \par
}\qj \fi300 {\f5\'C0}{\f5\'EB}{\f5\'E3}{\f5\'EE}{\f5\'F0}{\f5\'E8}{\f5\'F2}{\f5\'EC} {\f5\'F0}{\f5\'E0}{\f5\'F1}{\f5\'F8}{\f5\'E8}{\f5\'F4}{\f5\'F0}{\f5\'EE}{\f5\'E2}{\f5\'E0}{\f5\'ED}{\f5\'E8}{\f5\'FF} {\f5\'EF}{\f5\'EE}{\f5\'EB}{\f5\'ED}{\f5\'EE}{\f5\'F1}{\f5\'F2}{\f5\'FC}{\f5\'FE} {\f5\'EF}{\f5\'EE}{\f5\'E2}{\f5\'F2}{\f5\'EE}{\f5\'F0}{\f5\'FF}{\f5\'E5}{\f5\'F2} {\f5\'E0}{\f5\'EB}{\f5\'E3}{\f5\'EE}{\f5\'F0}{\f5\'E8}{\f5\'F2}{\f5\'EC} {\f5\'E7}{\f5\'E0}{\f5\'F8}{\f5\'E8}{\f5\'F4}{\f5\'F0}{\f5\'EE}{\f5\'E2}{\f5\'E0}{\f5\'ED}{\f5\'E8}{\f5\'FF} {\f5\'E2} {\f5\'EE}{\f5\'E1}{\f5\'F0}{\f5\'E0}{\f5\'F2}{\f5\'ED}{\f5\'EE}{\f5\'EC} {\f5\'EF}{\f5\'EE}{\f5\'F0}{\f5\'FF}{\f5\'E4}{\f5\'EA}{\f5\'E5}, {\f5\'E7}{\f5\'E0} {\f5\'E8}{\f5\'F1}{\f5\'EA}{\f5\'EB}{\f5\'FE}{\f5\'F7}{\f5\'E5}{\f5\'ED}{\f5\'E8}{\f5\'E5}{\f5\'EC} {\f5\'EE}{\f5\'E4}{\f5\'ED}{\f5\'EE}{\f5\'E3}{\f5\'EE} {\f5\'EF}{\f5\'F0}{\f5\'E5}{\f5\'EE}{\f5\'E1}{\f5\'F0}{\f5\'E0}{\f5\'E7}{\f5\'EE}{\f5\'E2}{\f5\'E0}{\f5\'ED}{\f5\'E8}{\f5\'FF} {\f18 InvSubBytes()}, {\f5\'EA}{\f5\'EE}{\f5\'F2}{\f5\'EE}{\f5\'F0}{\f5\'EE}{\f5\'E5} {\f5\'FF}{\f5\'E2}{\f5\'EB}{\f5\'FF}{\f5\'E5}{\f5\'F2}{\f5\'F1}{\f5\'FF} {\f5\'EE}{\f5\'E1}{\f5\'F0}{\f5\'E0}{\f5\'F2}{\f5\'ED}{\f5\'FB}{\f5\'EC} {\f5\'EA} {\f18 SubBytes()}. {\f5\'CE}{\f5\'F1}{\f5\'F2}{\f5\'E0}{\f5\'EB}{\f5\'FC}{\f5\'ED}{\f5\'FB}{\f5\'E5} {\f5\'EF}{\f5\'F0}{\f5\'E5}{\f5\'EE}{\f5\'E1}{\f5\'F0}{\f5\'E0}{\f5\'E7}{\f5\'EE}{\f5\'E2}{\f5\'E0}{\f5\'ED}{\f5\'E8}{\f5\'FF} {\f5\'EF}{\f5\'EE} {\f5\'EF}{\f5\'EE}{\f5\'F1}{\f5\'F2}{\f5\'F0}{\f5\'EE}{\f5\'E5}{\f5\'ED}{\f5\'E8}{\f5\'FE} {\f5\'EE}{\f5\'EA}{\f5\'E0}{\f5\'E7}{\f5\'E0}{\f5\'EB}{\f5\'E8}{\f5\'F1}{\f5\'FC} {\f5\'F1}{\f5\'EE}{\f5\'E2}{\f5\'EF}{\f5\'E0}{\f5\'EB}{\f5\'E8} {\f5\'F1}{\f5\'EE} {\f5\'F1}{\f5\'E2}{\f5\'EE}{\f5\'E8}{\f5\'EC}{\f5\'E8} {\f5\'EE}{\f5\'E1}{\f5\'F0}{\f5\'E0}{\f5\'F2}{\f5\'ED}{\f5\'FB}{\f5\'EC}{\f5\'E8}.\par
\qj \fi0 \sa120 \par
\sa0{\plain\b \qj \fi0 {\f5\'CF}{\f5\'F0}{\f5\'E5}{\f5\'EE}{\f5\'E1}{\f5\'F0}{\f5\'E0}{\f5\'E7}{\f5\'EE}{\f5\'E2}{\f5\'E0}{\f5\'ED}{\f5\'E8}{\f5\'E5} \i0\scaps0\b0\f11 {\f18 InvSubBytes()}.} \par
\qj \fi0 {\f5\'C4}{\f5\'E0}{\f5\'ED}{\f5\'ED}{\f5\'EE}{\f5\'E5} {\f5\'EF}{\f5\'F0}{\f5\'E5}{\f5\'EE}{\f5\'E1}{\f5\'F0}{\f5\'E0}{\f5\'E7}{\f5\'EE}{\f5\'E2}{\f5\'E0}{\f5\'ED}{\f5\'E8}{\f5\'E5} {\f5\'EF}{\f5\'EE} {\f5\'EF}{\f5\'EE}{\f5\'F1}{\f5\'F2}{\f5\'F0}{\f5\'EE}{\f5\'E5}{\f5\'ED}{\f5\'E8}{\f5\'FE} {\f5\'FD}{\f5\'EA}{\f5\'E2}{\f5\'E8}{\f5\'E2}{\f5\'E0}{\f5\'EB}{\f5\'E5}{\f5\'ED}{\f5\'F2}{\f5\'ED}{\f5\'EE} {\f5\'F1}{\f5\'E2}{\f5\'EE}{\f5\'E5}{\f5\'EC}{\f5\'F3} {\f5\'EE}{\f5\'E1}{\f5\'F0}{\f5\'E0}{\f5\'F2}{\f5\'ED}{\f5\'EE}{\f5\'EC}{\f5\'F3}, {\f5\'F0}{\f5\'E0}{\f5\'E7}{\f5\'ED}{\f5\'E8}{\f5\'F6}{\f5\'E0} {\f5\'E2} {\f5\'F2}{\f5\'EE}{\f5\'EC}, {\f5\'F7}{\f5\'F2}{\f5\'EE} {\f5\'E2}{\f5\'EC}{\f5\'E5}{\f5\'F1}{\f5\'F2}{\f5\'EE} {\f5\'EF}{\f5\'EE}{\f5\'E4}{\f5\'F1}{\f5\'F2}{\f5\'E0}{\f5\'ED}{\f5\'EE}{\f5\'E2}{\f5\'EA}{\f5\'E8} {{\field{\*\fldinst{ EQ {\i S}{\dn6\fs16 16}}}{\fldrslt }}} {\f5\'E8}{\f5\'F1}{\f5\'EF}{\f5\'EE}{\f5\'EB}{\f5\'FC}{\f5\'E7}{\f5\'F3}{\f5\'E5}{\f5\'F2}{\f5\'F1}{\f5\'FF} {\f5\'EE}{\f5\'E1}{\f5\'F0}{\f5\'E0}{\f5\'F2}{\f5\'ED}{\f5\'E0}{\f5\'FF} {\f5\'EA} {\f5\'ED}{\f5\'E5}{\f5\'E9} {\f5\'EF}{\f5\'EE}{\f5\'E4}{\f5\'F1}{\f5\'F2}{\f5\'E0}{\f5\'ED}{\f5\'EE}{\f5\'E2}{\f5\'EA}{\f5\'E0} {{\field{\*\fldinst{ EQ {\i S}\\s\\up({\fs16 -1,16})}}{\fldrslt }}}. \par\par
{\pard\tqc\tx3450\tqr\tx6900
\tab {\field{\*\fldinst{ EQ { \\a \\ac \\co16 (\i0\scaps0\b0\f18 0,\i0\scaps0\b0\f18 1,\i0\scaps0\b0\f18 2,\i0\scaps0\b0\f18 3,\i0\scaps0\b0\f18 4,\i0\scaps0\b0\f18 5,\i0\scaps0\b0\f18 6,\i0\scaps0\b0\f18 7,\i0\scaps0\b0\f18 8,\i0\scaps0\b0\f18 9,\i0\scaps0\b0\f18 {\i A},\i0\scaps0\b0\f18 {\i B},\i0\scaps0\b0\f18 {\i C},\i0\scaps0\b0\f18 {\i D},\i0\scaps0\b0\f18 {\i E},\i0\scaps0\b0\f18 {\i F},{\f9\'af},{\f9\'af},{\f9\'af},{\f9\'af},{\f9\'af},{\f9\'af},{\f9\'af},{\f9\'af},{\f9\'af},{\f9\'af},{\f9\'af},{\f9\'af},{\f9\'af},{\f9\'af},{\f9\'af},{\f9\'af},\i0\scaps0\b0\f18 {\i F},\i0\scaps0\b0\f18 {\i A},\i0\scaps0\b0\f18 {\i E},\i0\scaps0\b0\f18 {\i B},\i0\scaps0\b0\f18 7,\i0\scaps0\b0\f18 {\i C},\i0\scaps0\b0\f18 6,\i0\scaps0\b0\f18 {\i D},\i0\scaps0\b0\f18 2,\i0\scaps0\b0\f18 0,\i0\scaps0\b0\f18 4,\i0\scaps0\b0\f18 1,\i0\scaps0\b0\f18 5,\i0\scaps0\b0\f18 8,\i0\scaps0\b0\f18 3,\i0\scaps0\b0\f18 9,)}}}{\fldrslt }}\par\par
}\qj \fi0 \sa120 \par
\sa0{\plain\b\fs24 2.4.3 \qj \fi0 {\f5\'CF}{\f5\'F0}{\f5\'EE}{\f5\'F6}{\f5\'E5}{\f5\'E4}{\f5\'F3}{\f5\'F0}{\f5\'E0} {\f5\'F0}{\f5\'E0}{\f5\'E7}{\f5\'E2}{\f5\'E5}{\f5\'F0}{\f5\'F2}{\f5\'FB}{\f5\'E2}{\f5\'E0}{\f5\'ED}{\f5\'E8}{\f5\'FF} {\f5\'EA}{\f5\'EB}{\f5\'FE}{\f5\'F7}{\f5\'E0}.\par
}\sa60 \par \sa0\qj \fi0 {\f5\'C2} {\f5\'ED}{\f5\'E0}{\f5\'F8}{\f5\'E5}{\f5\'E9} {\f5\'F1}{\f5\'E8}{\f5\'F1}{\f5\'F2}{\f5\'E5}{\f5\'EC}{\f5\'E5} {\f5\'EA}{\f5\'EB}{\f5\'FE}{\f5\'F7} {\f5\'E8}{\f5\'EC}{\f5\'E5}{\f5\'E5}{\f5\'F2} {\f5\'E4}{\f5\'EB}{\f5\'E8}{\f5\'ED}{\f5\'F3} 32 {\f5\'E1}{\f5\'E8}{\f5\'F2}{\f5\'E0}. {\f5\'D2}{\f5\'E0}{\f5\'EA} {\f5\'EA}{\f5\'E0}{\f5\'EA} {\f5\'ED}{\f5\'E0} {\f5\'EA}{\f5\'E0}{\f5\'E6}{\f5\'E4}{\f5\'EE}{\f5\'EC} {\f5\'F0}{\f5\'E0}{\f5\'F3}{\f5\'ED}{\f5\'E4}{\f5\'E5} {\f5\'EF}{\f5\'F0}{\f5\'E8}{\f5\'EC}{\f5\'E5}{\f5\'ED}{\f5\'FF}{\f5\'E5}{\f5\'F2}{\f5\'F1}{\f5\'FF} {\f5\'F1}{\f5\'E2}{\f5\'EE}{\f5\'E9} {\f5\'F0}{\f5\'E0}{\f5\'F3}{\f5\'ED}{\f5\'E4}{\f5\'EE}{\f5\'E2}{\f5\'FB}{\f5\'E9} {\f5\'EA}{\f5\'EB}{\f5\'FE}{\f5\'F7}, {\f5\'F2}{\f5\'EE} {\f5\'F0}{\f5\'E0}{\f5\'F1}{\f5\'F8}{\f5\'E8}{\f5\'F0}{\f5\'E5}{\f5\'ED}{\f5\'ED}{\f5\'FB}{\f5\'E9} {\f5\'EA}{\f5\'EB}{\f5\'FE}{\f5\'F7} {\f5\'F1}{\f5\'F2}{\f5\'F0}{\f5\'EE}{\f5\'E8}{\f5\'F2}{\f5\'F1}{\f5\'FF} {\f5\'F1} {\f5\'EF}{\f5\'EE}{\f5\'EC}{\f5\'EE}{\f5\'F9}{\f5\'FC}{\f5\'FE} {\f5\'EF}{\f5\'F0}{\f5\'EE}{\f5\'F6}{\f5\'E5}{\f5\'E4}{\f5\'F3}{\f5\'F0}{\f5\'FB} {\f5\'F0}{\f5\'E0}{\f5\'E7}{\f5\'E2}{\f5\'E5}{\f5\'F0}{\f5\'F2}{\f5\'FB}{\f5\'E2}{\f5\'E0}{\f5\'ED}{\f5\'E8}{\f5\'FF} {\f5\'EA}{\f5\'EB}{\f5\'FE}{\f5\'F7}{\f5\'E0} {\f18 KeyExpansion()} {\f5\'E8}{\f5\'E7} {\f5\'E8}{\f5\'F1}{\f5\'F5}{\f5\'EE}{\f5\'E4}{\f5\'ED}{\f5\'EE}{\f5\'E3}{\f5\'EE} {\f5\'EA}{\f5\'EB}{\f5\'FE}{\f5\'F7}{\f5\'E0} {{\i K}}.\par
\qj \fi300 {\f5\'C0}{\f5\'EB}{\f5\'E3}{\f5\'EE}{\f5\'F0}{\f5\'E8}{\f5\'F2}{\f5\'EC} {\f5\'FD}{\f5\'F2}{\f5\'EE}{\f5\'E9} {\f5\'EF}{\f5\'F0}{\f5\'EE}{\f5\'F6}{\f5\'E5}{\f5\'E4}{\f5\'F3}{\f5\'F0}{\f5\'FB} {\f5\'F1}{\f5\'EB}{\f5\'E5}{\f5\'E4}{\f5\'F3}{\f5\'FE}{\f5\'F9}{\f5\'E8}{\f5\'E9}: {\par
\qj \fi0 \pard\ql\b0\i0\scaps0\f18
\par word temp
\par
\par i = 0
\par while (i < Nk)
\par w[i] = word(key[2*i], key[2*i+1])
\par i = i+1
\par end while
\par
\par i = Nk
\par while (i < Nb * (Nr+1))
\par temp = w[i-1]
\par if (i mod Nk = 0)
\par temp = SubWord(RotWord(temp)) xor Rcon[i/Nk]
\par end if
\par w[i] = w[i-Nk] xor temp
\par i = i + 1
\par end while
\par \par
}\qj \fi300 {\f5\'C8}{\f5\'E7} {\f5\'FD}{\f5\'F2}{\f5\'EE}{\f5\'E3}{\f5\'EE} {\f5\'E0}{\f5\'EB}{\f5\'E3}{\f5\'EE}{\f5\'F0}{\f5\'E8}{\f5\'F2}{\f5\'EC}{\f5\'E0} {\f5\'F1}{\f5\'EB}{\f5\'E5}{\f5\'E4}{\f5\'F3}{\f5\'E5}{\f5\'F2}, {\f5\'F7}{\f5\'F2}{\f5\'EE} {\f5\'F0}{\f5\'E0}{\f5\'F3}{\f5\'ED}{\f5\'E4}{\f5\'EE}{\f5\'E2}{\f5\'FB}{\f5\'E9} {\f5\'EA}{\f5\'EB}{\f5\'FE}{\f5\'F7} {\f5\'F1}{\f5\'F2}{\f5\'F0}{\f5\'EE}{\f5\'E8}{\f5\'F2}{\f5\'F1}{\f5\'FF} {\f5\'F2}{\f5\'EE}{\f5\'EB}{\f5\'FC}{\f5\'EA}{\f5\'EE} {\f5\'EF}{\f5\'EE} {\f5\'EA}{\f5\'EB}{\f5\'FE}{\f5\'F7}{\f5\'F3} {\f5\'EF}{\f5\'F0}{\f5\'E5}{\f5\'E4}{\f5\'FB}{\f5\'E4}{\f5\'F3}{\f5\'F9}{\f5\'E5}{\f5\'E3}{\f5\'EE} {\f5\'F0}{\f5\'E0}{\f5\'F3}{\f5\'ED}{\f5\'E4}{\f5\'E0}, {\f5\'F2}.{\f5\'E5}. {\f5\'FD}{\f5\'F2}{\f5\'EE} {\f5\'F0}{\f5\'E5}{\f5\'EA}{\f5\'F3}{\f5\'F0}{\f5\'F0}{\f5\'E5}{\f5\'ED}{\f5\'F2}{\f5\'ED}{\f5\'E0}{\f5\'FF} {\f5\'EF}{\f5\'F0}{\f5\'EE}{\f5\'F6}{\f5\'E5}{\f5\'E4}{\f5\'F3}{\f5\'F0}{\f5\'E0}.\par
\qj \fi0 \sa120 \par
\sa0{\plain\b \qj \fi0 {\f5\'CF}{\f5\'F0}{\f5\'E5}{\f5\'EE}{\f5\'E1}{\f5\'F0}{\f5\'E0}{\f5\'E7}{\f5\'EE}{\f5\'E2}{\f5\'E0}{\f5\'ED}{\f5\'E8}{\f5\'E5} \i0\scaps0\b0\f11 {\f18 RotWord()}.} \par
\qj \fi0 {\f5\'DD}{\f5\'F2}{\f5\'EE} {\f5\'EF}{\f5\'F0}{\f5\'E5}{\f5\'EE}{\f5\'E1}{\f5\'F0}{\f5\'E0}{\f5\'E7}{\f5\'EE}{\f5\'E2}{\f5\'E0}{\f5\'ED}{\f5\'E8}{\f5\'E5} {\f5\'EC}{\f5\'E5}{\f5\'ED}{\f5\'FF}{\f5\'E5}{\f5\'F2} {\f5\'EC}{\f5\'E5}{\f5\'F1}{\f5\'F2}{\f5\'E0}{\f5\'EC}{\f5\'E8} {\f5\'EA}{\f5\'EE}{\f5\'EE}{\f5\'F0}{\f5\'E4}{\f5\'E8}{\f5\'ED}{\f5\'E0}{\f5\'F2}{\f5\'FB} {\f5\'F1}{\f5\'F2}{\f5\'EE}{\f5\'EB}{\f5\'E1}{\f5\'F6}{\f5\'E0} {{\field{\*\fldinst{ EQ [{\i w}{\dn6\fs16 0}{\fs15 }{\i w}{\dn6\fs16 1}]}}{\fldrslt }}} {\f5\'ED}{\f5\'E0} {\f5\'F1}{\f5\'F2}{\f5\'EE}{\f5\'EB}{\f5\'E1}{\f5\'E5}{\f5\'F6} {{\field{\*\fldinst{ EQ [{\i w}{\dn6\fs16 1}{\fs15 }{\i w}{\dn6\fs16 0}]}}{\fldrslt }}}. {\f5\'C4}{\f5\'E0}{\f5\'ED}{\f5\'ED}{\f5\'EE}{\f5\'E5} {\f5\'EF}{\f5\'F0}{\f5\'E5}{\f5\'EE}{\f5\'E1}{\f5\'F0}{\f5\'E0}{\f5\'E7}{\f5\'EE}{\f5\'E2}{\f5\'E0}{\f5\'ED}{\f5\'E8}{\f5\'E5} {\f5\'FD}{\f5\'EA}{\f5\'E2}{\f5\'E8}{\f5\'E2}{\f5\'E0}{\f5\'EB}{\f5\'E5}{\f5\'ED}{\f5\'F2}{\f5\'ED}{\f5\'EE} {\f5\'F3}{\f5\'EC}{\f5\'ED}{\f5\'EE}{\f5\'E6}{\f5\'E5}{\f5\'ED}{\f5\'E8}{\f5\'FE} {\f5\'ED}{\f5\'E0} {{\i x}}: \par\par
{\pard\tqc\tx3450\tqr\tx6900
\tab {\i w}'({\i x})={\i w}({\i x}){\f9\'c4}{\i x}\par\par
}\qj \fi0 \sa120 \par
\sa0{\plain\b \qj \fi0 {\f5\'CF}{\f5\'F0}{\f5\'E5}{\f5\'EE}{\f5\'E1}{\f5\'F0}{\f5\'E0}{\f5\'E7}{\f5\'EE}{\f5\'E2}{\f5\'E0}{\f5\'ED}{\f5\'E8}{\f5\'E5} \i0\scaps0\b0\f11 {\f18 SubWord()}.} \par
\qj \fi0 {\f5\'DD}{\f5\'F2}{\f5\'EE} {\f5\'EF}{\f5\'F0}{\f5\'E5}{\f5\'EE}{\f5\'E1}{\f5\'F0}{\f5\'E0}{\f5\'E7}{\f5\'EE}{\f5\'E2}{\f5\'E0}{\f5\'ED}{\f5\'E8}{\f5\'E5} {\f5\'EF}{\f5\'EE}{\f5\'E2}{\f5\'F2}{\f5\'EE}{\f5\'F0}{\f5\'FF}{\f5\'E5}{\f5\'F2} {\f5\'EF}{\f5\'F0}{\f5\'E5}{\f5\'EE}{\f5\'E1}{\f5\'F0}{\f5\'E0}{\f5\'E7}{\f5\'EE}{\f5\'E2}{\f5\'E0}{\f5\'ED}{\f5\'E8}{\f5\'E5} {\f18 SubBytes()}, {\f5\'F2}{\f5\'EE}{\f5\'EB}{\f5\'FC}{\f5\'EA}{\f5\'EE} {\f5\'E2} {\f5\'E4}{\f5\'E0}{\f5\'ED}{\f5\'ED}{\f5\'EE}{\f5\'EC} {\f5\'F1}{\f5\'EB}{\f5\'F3}{\f5\'F7}{\f5\'E0}{\f5\'E5} {\f5\'EE}{\f5\'ED}{\f5\'EE} {\f5\'E4}{\f5\'E5}{\f5\'E9}{\f5\'F1}{\f5\'F2}{\f5\'E2}{\f5\'F3}{\f5\'E5}{\f5\'F2} {\f5\'ED}{\f5\'E0} {\f5\'F1}{\f5\'F2}{\f5\'EE}{\f5\'EB}{\f5\'E1}{\f5\'E5}{\f5\'F6} {\f5\'F0}{\f5\'E0}{\f5\'F1}{\f5\'F8}{\f5\'E8}{\f5\'F0}{\f5\'E5}{\f5\'ED}{\f5\'ED}{\f5\'EE}{\f5\'E3}{\f5\'EE} {\f5\'EA}{\f5\'EB}{\f5\'FE}{\f5\'F7}{\f5\'E0}.\par
\qj \fi0 \sa120 \par
\sa0{\plain\b \qj \fi0 {\f5\'D0}{\f5\'E0}{\f5\'F3}{\f5\'ED}{\f5\'E4}{\f5\'EE}{\f5\'E2}{\f5\'E0}{\f5\'FF} {\f5\'EA}{\f5\'EE}{\f5\'ED}{\f5\'F1}{\f5\'F2}{\f5\'E0}{\f5\'ED}{\f5\'F2}{\f5\'E0} \i0\scaps0\b0\f11 {\f18 Rcon[i]}.} \par
\qj \fi0 {\f5\'C4}{\f5\'EB}{\f5\'FF} {\f5\'F0}{\f5\'E0}{\f5\'F3}{\f5\'ED}{\f5\'E4}{\f5\'E0} {{\i i}} {\f5\'E4}{\f5\'E0}{\f5\'ED}{\f5\'ED}{\f5\'E0}{\f5\'FF} {\f5\'EA}{\f5\'EE}{\f5\'ED}{\f5\'F1}{\f5\'F2}{\f5\'E0}{\f5\'ED}{\f5\'F2}{\f5\'E0} {\f5\'F0}{\f5\'E0}{\f5\'E2}{\f5\'ED}{\f5\'FF}{\f5\'E5}{\f5\'F2}{\f5\'F1}{\f5\'FF} {{\field{\*\fldinst{ EQ [{\i x}\\s\\up5({\fs16 {\i i}-1}){\fs15 }{\f18 00}]}}{\fldrslt }}}.\par
\qj \fi0 \sa120 \par
\sa0{\plain\b\fs24 2.5 \qj \fi0 {\f5\'CF}{\f5\'F0}{\f5\'EE}{\f5\'E3}{\f5\'F0}{\f5\'E0}{\f5\'EC}{\f5\'EC}{\f5\'ED}{\f5\'E0}{\f5\'FF} {\f5\'F0}{\f5\'E5}{\f5\'E0}{\f5\'EB}{\f5\'E8}{\f5\'E7}{\f5\'E0}{\f5\'F6}{\f5\'E8}{\f5\'FF}.\par
}\sa60 \par \sa0\qj \fi0 {\f5\'C8}{\f5\'F1}{\f5\'F5}{\f5\'EE}{\f5\'E4}{\f5\'ED}{\f5\'FB}{\f5\'E9} {\f5\'EA}{\f5\'EE}{\f5\'E4} {\f5\'ED}{\f5\'E0} {\f5\'FF}{\f5\'E7}{\f5\'FB}{\f5\'EA}{\f5\'E5} C++ {\f5\'ED}{\f5\'E0}{\f5\'F8}{\f5\'E5}{\f5\'E9} {\f5\'EA}{\f5\'F0}{\f5\'E8}{\f5\'EF}{\f5\'F2}{\f5\'EE}{\f5\'F1}{\f5\'E8}{\f5\'F1}{\f5\'F2}{\f5\'E5}{\f5\'EC}{\f5\'FB} {\f5\'EF}{\f5\'F0}{\f5\'E8}{\f5\'E2}{\f5\'E5}{\f5\'E4}{\f5\'E5}{\f5\'ED} {\f5\'E2} {\f5\'CF}{\f5\'F0}{\f5\'E8}{\f5\'EB}{\f5\'EE}{\f5\'E6}{\f5\'E5}{\f5\'ED}{\f5\'E8}{\f5\'E8}\~1.\par
\qj \fi0 \sa240 \par
\sa0{\plain\b \fs32 3. \qj \fi0 {\f5\'CC}{\f5\'E5}{\f5\'F2}{\f5\'EE}{\f5\'E4}{\f5\'FB} {\f5\'EA}{\f5\'F0}{\f5\'E8}{\f5\'EF}{\f5\'F2}{\f5\'EE}{\f5\'E0}{\f5\'ED}{\f5\'E0}{\f5\'EB}{\f5\'E8}{\f5\'E7}{\f5\'E0}.\par
}\sa60 \par \sa0\qj \fi0 {\f5\'CD}{\f5\'E0}{\f5\'F8}{\f5\'E8} {\f5\'EC}{\f5\'E5}{\f5\'F2}{\f5\'EE}{\f5\'E4}{\f5\'FB} {\f5\'EA}{\f5\'F0}{\f5\'E8}{\f5\'EF}{\f5\'F2}{\f5\'EE}{\f5\'E0}{\f5\'ED}{\f5\'E0}{\f5\'EB}{\f5\'E8}{\f5\'E7}{\f5\'E0} {\f5\'EF}{\f5\'F0}{\f5\'EE}{\f5\'E2}{\f5\'EE}{\f5\'E4}{\f5\'FF}{\f5\'F2}{\f5\'F1}{\f5\'FF} {\f5\'EF}{\f5\'F0}{\f5\'E8} {\f5\'E2}{\f5\'FB}{\f5\'E1}{\f5\'E8}{\f5\'F0}{\f5\'E0}{\f5\'E5}{\f5\'EC}{\f5\'FB}{\f5\'F5} {\f5\'EE}{\f5\'F2}{\f5\'EA}{\f5\'F0}{\f5\'FB}{\f5\'F2}{\f5\'FB}{\f5\'F5} {\f5\'F2}{\f5\'E5}{\f5\'EA}{\f5\'F1}{\f5\'F2}{\f5\'EE}{\f5\'E2} {{\i X}} {\f5\'E8} {\f5\'F1}{\f5\'EE}{\f5\'EE}{\f5\'F2}{\f5\'E2}{\f5\'E5}{\f5\'F2}{\f5\'F1}{\f5\'F2}{\f5\'E2}{\f5\'F3}{\f5\'FE}{\f5\'F9}{\f5\'E8}{\f5\'F5} {\f5\'E8}{\f5\'EC} {\f5\'F8}{\f5\'E8}{\f5\'F4}{\f5\'F0}{\f5\'F2}{\f5\'E5}{\f5\'EA}{\f5\'F1}{\f5\'F2}{\f5\'EE}{\f5\'E2} {{\i Y}={\i f}({\i X},{\i K})}. {\f5\'C8}{\f5\'F5} {\f5\'F6}{\f5\'E5}{\f5\'EB}{\f5\'FC}{\f5\'FE} {\f5\'FF}{\f5\'E2}{\f5\'EB}{\f5\'FF}{\f5\'E5}{\f5\'F2}{\f5\'F1}{\f5\'FF} {\f5\'E2}{\f5\'EE}{\f5\'F1}{\f5\'F1}{\f5\'F2}{\f5\'E0}{\f5\'ED}{\f5\'EE}{\f5\'E2}{\f5\'EB}{\f5\'E5}{\f5\'ED}{\f5\'E8}{\f5\'E5} {\f5\'ED}{\f5\'E5}{\f5\'E8}{\f5\'E7}{\f5\'E2}{\f5\'E5}{\f5\'F1}{\f5\'F2}{\f5\'ED}{\f5\'EE}{\f5\'E3}{\f5\'EE} {\f5\'EA}{\f5\'EB}{\f5\'FE}{\f5\'F7}{\f5\'E0} {{\i K}}.\par
\qj \fi300 {\f5\'C7}{\f5\'E0}{\f5\'E4}{\f5\'E0}{\f5\'E4}{\f5\'E8}{\f5\'EC} {\f5\'E7}{\f5\'ED}{\f5\'E0}{\f5\'F7}{\f5\'E5}{\f5\'ED}{\f5\'E8}{\f5\'E5} {\f5\'EA}{\f5\'EB}{\f5\'FE}{\f5\'F7}{\f5\'E0} {\f5\'F0}{\f5\'E0}{\f5\'E2}{\f5\'ED}{\f5\'EE}{\f5\'E5} {{\i K}=[{\f18 2{\i B}}{\fs15 }{\f18 7{\i E}}{\fs15 }{\f18 15}{\fs15 }{\f18 16}]}, {\f5\'EE}{\f5\'E4}{\f5\'E8}{\f5\'ED}{\f5\'E0}{\f5\'EA}{\f5\'EE}{\f5\'E2}{\f5\'EE}{\f5\'E5} {\f5\'E4}{\f5\'EB}{\f5\'FF} {\f5\'E4}{\f5\'E2}{\f5\'F3}{\f5\'F5} {\f5\'EC}{\f5\'E5}{\f5\'F2}{\f5\'EE}{\f5\'E4}{\f5\'EE}{\f5\'E2} {\f5\'EA}{\f5\'F0}{\f5\'E8}{\f5\'EF}{\f5\'F2}{\f5\'EE}{\f5\'E0}{\f5\'ED}{\f5\'E0}{\f5\'EB}{\f5\'E8}{\f5\'E7}{\f5\'E0}. {\f5\'DD}{\f5\'F2}{\f5\'EE} {\f5\'E7}{\f5\'ED}{\f5\'E0}{\f5\'F7}{\f5\'E5}{\f5\'ED}{\f5\'E8}{\f5\'E5} {\f5\'E8} {\f5\'F2}{\f5\'F0}{\f5\'E5}{\f5\'E1}{\f5\'F3}{\f5\'E5}{\f5\'F2}{\f5\'F1}{\f5\'FF} {\f5\'EE}{\f5\'EF}{\f5\'F0}{\f5\'E5}{\f5\'E4}{\f5\'E5}{\f5\'EB}{\f5\'E8}{\f5\'F2}{\f5\'FC} {\f5\'E2} {\f5\'F5}{\f5\'EE}{\f5\'E4}{\f5\'E5} {\f5\'E0}{\f5\'F2}{\f5\'E0}{\f5\'EA}{\f5\'E8}, {\f5\'E8}{\f5\'F1}{\f5\'EF}{\f5\'EE}{\f5\'EB}{\f5\'FC}{\f5\'E7}{\f5\'F3}{\f5\'FF} {\f5\'F0}{\f5\'E0}{\f5\'E7}{\f5\'ED}{\f5\'FB}{\f5\'E5} {\f5\'EC}{\f5\'E5}{\f5\'F2}{\f5\'EE}{\f5\'E4}{\f5\'FB}.\par
\qj \fi300 {\f5\'CF}{\f5\'F0}{\f5\'E5}{\f5\'E6}{\f5\'E4}{\f5\'E5} {\f5\'F7}{\f5\'E5}{\f5\'EC} {\f5\'EF}{\f5\'E5}{\f5\'F0}{\f5\'E5}{\f5\'E9}{\f5\'F2}{\f5\'E8} {\f5\'ED}{\f5\'E5}{\f5\'EF}{\f5\'EE}{\f5\'F1}{\f5\'F0}{\f5\'E5}{\f5\'E4}{\f5\'F1}{\f5\'F2}{\f5\'E2}{\f5\'E5}{\f5\'ED}{\f5\'ED}{\f5\'EE} {\f5\'EA} {\f5\'EA}{\f5\'EE}{\f5\'ED}{\f5\'EA}{\f5\'F0}{\f5\'E5}{\f5\'F2}{\f5\'ED}{\f5\'FB}{\f5\'EC} {\f5\'F2}{\f5\'E8}{\f5\'EF}{\f5\'E0}{\f5\'EC} {\f5\'EA}{\f5\'F0}{\f5\'E8}{\f5\'EF}{\f5\'F2}{\f5\'EE}{\f5\'E0}{\f5\'ED}{\f5\'E0}{\f5\'EB}{\f5\'E8}{\f5\'E7}{\f5\'E0}, {\f5\'EE}{\f5\'F6}{\f5\'E5}{\f5\'ED}{\f5\'E8}{\f5\'EC} {\f5\'E2}{\f5\'E5}{\f5\'F0}{\f5\'F5}{\f5\'ED}{\f5\'FE}{\f5\'FE} {\f5\'E3}{\f5\'F0}{\f5\'E0}{\f5\'ED}{\f5\'E8}{\f5\'F6}{\f5\'F3} {\f5\'E8}{\f5\'F5} {\f5\'FD}{\f5\'F4}{\f5\'F4}{\f5\'E5}{\f5\'EA}{\f5\'F2}{\f5\'E8}{\f5\'E2}{\f5\'ED}{\f5\'EE}{\f5\'F1}{\f5\'F2}{\f5\'E8}.\par
\qj \fi300 {\f5\'C4}{\f5\'EB}{\f5\'E8}{\f5\'ED}{\f5\'E0} {\f5\'EA}{\f5\'EB}{\f5\'FE}{\f5\'F7}{\f5\'E0} {\f5\'ED}{\f5\'E0}{\f5\'F8}{\f5\'E5}{\f5\'E9} {\f5\'F1}{\f5\'E8}{\f5\'F1}{\f5\'F2}{\f5\'E5}{\f5\'EC}{\f5\'FB} {\f5\'F1}{\f5\'EE}{\f5\'F1}{\f5\'F2}{\f5\'E0}{\f5\'E2}{\f5\'EB}{\f5\'FF}{\f5\'E5}{\f5\'F2} 32 {\f5\'E1}{\f5\'E8}{\f5\'F2}{\f5\'E0}. {\f5\'D1}{\f5\'EE}{\f5\'EE}{\f5\'F2}{\f5\'E2}{\f5\'E5}{\f5\'F2}{\f5\'F1}{\f5\'F2}{\f5\'E2}{\f5\'E5}{\f5\'ED}{\f5\'ED}{\f5\'EE} {\f5\'EC}{\f5\'E5}{\f5\'F2}{\f5\'EE}{\f5\'E4}{\f5\'EE}{\f5\'EC} {\f5\'EF}{\f5\'EE}{\f5\'EB}{\f5\'ED}{\f5\'EE}{\f5\'E3}{\f5\'EE} {\f5\'EF}{\f5\'E5}{\f5\'F0}{\f5\'E5}{\f5\'E1}{\f5\'EE}{\f5\'F0}{\f5\'E0} {\f5\'E2}{\f5\'F1}{\f5\'E5}{\f5\'E3}{\f5\'EE} {\f5\'EA}{\f5\'EB}{\f5\'FE}{\f5\'F7}{\f5\'E5}{\f5\'E2}{\f5\'EE}{\f5\'E3}{\f5\'EE} {\f5\'EF}{\f5\'F0}{\f5\'EE}{\f5\'F1}{\f5\'F2}{\f5\'F0}{\f5\'E0}{\f5\'ED}{\f5\'F1}{\f5\'F2}{\f5\'E2}{\f5\'E0} {\f5\'EC}{\f5\'FB} {\f5\'EE}{\f5\'E1}{\f5\'FF}{\f5\'E7}{\f5\'E0}{\f5\'F2}{\f5\'E5}{\f5\'EB}{\f5\'FC}{\f5\'ED}{\f5\'EE} {\f5\'ED}{\f5\'E0}{\f5\'E9}{\f5\'E4}{\f5\'E5}{\f5\'EC} {\f5\'ED}{\f5\'E5}{\f5\'E8}{\f5\'E7}{\f5\'E2}{\f5\'E5}{\f5\'F1}{\f5\'F2}{\f5\'ED}{\f5\'FB}{\f5\'E9} {\f5\'EA}{\f5\'EB}{\f5\'FE}{\f5\'F7} {{\i K}'={\i K}}. {\f5\'C4}{\f5\'EB}{\f5\'FF} {\f5\'FD}{\f5\'F2}{\f5\'EE}{\f5\'E3}{\f5\'EE} {\f5\'ED}{\f5\'E0}{\f5\'EC} {\f5\'EF}{\f5\'EE}{\f5\'F2}{\f5\'F0}{\f5\'E5}{\f5\'E1}{\f5\'F3}{\f5\'E5}{\f5\'F2}{\f5\'F1}{\f5\'FF} {\f5\'EC}{\f5\'E0}{\f5\'EA}{\f5\'F1}{\f5\'E8}{\f5\'EC}{\f5\'E0}{\f5\'EB}{\f5\'FC}{\f5\'ED}{\f5\'EE} {{\field{\*\fldinst{ EQ 2\\s\\up5({\fs16 32})}}{\fldrslt }}} {\f5\'F8}{\f5\'E8}{\f5\'F4}{\f5\'F0}{\f5\'EE}{\f5\'E2}{\f5\'E0}{\f5\'ED}{\f5\'E8}{\f5\'E9} {\f5\'E2}{\f5\'E8}{\f5\'E4}{\f5\'E0} {{\i Y}={\i f}({\i X},{\i K}')}.\par
\qj \fi300 {\f5\'D1}{\f5\'EB}{\f5\'E5}{\f5\'E4}{\f5\'EE}{\f5\'E2}{\f5\'E0}{\f5\'F2}{\f5\'E5}{\f5\'EB}{\f5\'FC}{\f5\'ED}{\f5\'EE}, {\f5\'F6}{\f5\'E5}{\f5\'EB}{\f5\'FC}{\f5\'FE} {\f5\'EA}{\f5\'F0}{\f5\'E8}{\f5\'EF}{\f5\'F2}{\f5\'EE}{\f5\'E0}{\f5\'ED}{\f5\'E0}{\f5\'EB}{\f5\'E8}{\f5\'E7}{\f5\'E0} {\f5\'FF}{\f5\'E2}{\f5\'EB}{\f5\'FF}{\f5\'E5}{\f5\'F2}{\f5\'F1}{\f5\'FF} {\f5\'ED}{\f5\'E5} {\f5\'F2}{\f5\'EE}{\f5\'EB}{\f5\'FC}{\f5\'EA}{\f5\'EE} {\f5\'E2}{\f5\'EE}{\f5\'F1}{\f5\'F1}{\f5\'F2}{\f5\'E0}{\f5\'ED}{\f5\'EE}{\f5\'E2}{\f5\'EB}{\f5\'E5}{\f5\'ED}{\f5\'E8}{\f5\'E5} {\f5\'ED}{\f5\'E5}{\f5\'E8}{\f5\'E7}{\f5\'E2}{\f5\'E5}{\f5\'F1}{\f5\'F2}{\f5\'ED}{\f5\'EE}{\f5\'E3}{\f5\'EE} {\f5\'EA}{\f5\'EB}{\f5\'FE}{\f5\'F7}{\f5\'E0} {{\i K}}, {\f5\'ED}{\f5\'EE} {\f5\'E8} {\f5\'F7}{\f5\'F2}{\f5\'EE}{\f5\'E1}{\f5\'FB} {\f5\'FD}{\f5\'F2}{\f5\'EE} {\f5\'E2}{\f5\'EE}{\f5\'F1}{\f5\'F1}{\f5\'F2}{\f5\'E0}{\f5\'ED}{\f5\'EE}{\f5\'E2}{\f5\'EB}{\f5\'E5}{\f5\'ED}{\f5\'E8}{\f5\'E5} {\f5\'F1} {\f5\'E2}{\f5\'FB}{\f5\'F7}{\f5\'E8}{\f5\'F1}{\f5\'EB}{\f5\'E8}{\f5\'F2}{\f5\'E5}{\f5\'EB}{\f5\'FC}{\f5\'ED}{\f5\'EE}{\f5\'E9} {\f5\'F1}{\f5\'F2}{\f5\'EE}{\f5\'F0}{\f5\'EE}{\f5\'ED}{\f5\'FB} {\f5\'E1}{\f5\'FB}{\f5\'EB}{\f5\'EE} {\f5\'FD}{\f5\'F4}{\f5\'F4}{\f5\'E5}{\f5\'EA}{\f5\'F2}{\f5\'E8}{\f5\'E2}{\f5\'ED}{\f5\'E5}{\f5\'E5} {\f5\'EC}{\f5\'E5}{\f5\'F2}{\f5\'EE}{\f5\'E4}{\f5\'E0} {\f5\'EF}{\f5\'EE}{\f5\'EB}{\f5\'ED}{\f5\'EE}{\f5\'E3}{\f5\'EE} {\f5\'EF}{\f5\'E5}{\f5\'F0}{\f5\'E5}{\f5\'E1}{\f5\'EE}{\f5\'F0}{\f5\'E0}. {\f5\'C8}{\f5\'ED}{\f5\'E0}{\f5\'F7}{\f5\'E5} {\f5\'F1}{\f5\'F7}{\f5\'E8}{\f5\'F2}{\f5\'E0}{\f5\'E5}{\f5\'F2}{\f5\'F1}{\f5\'FF}, {\f5\'F7}{\f5\'F2}{\f5\'EE} {\f5\'EA}{\f5\'F0}{\f5\'E8}{\f5\'EF}{\f5\'F2}{\f5\'EE}{\f5\'F1}{\f5\'E8}{\f5\'F1}{\f5\'F2}{\f5\'E5}{\f5\'EC}{\f5\'E0} {\f5\'F1}{\f5\'F2}{\f5\'EE}{\f5\'E9}{\f5\'EA}{\f5\'E0} {\f5\'EA} {\f5\'E4}{\f5\'E0}{\f5\'ED}{\f5\'ED}{\f5\'FB}{\f5\'EC} {\f5\'EC}{\f5\'E5}{\f5\'F2}{\f5\'EE}{\f5\'E4}{\f5\'E0}{\f5\'EC} {\f5\'EA}{\f5\'F0}{\f5\'E8}{\f5\'EF}{\f5\'F2}{\f5\'EE}{\f5\'E0}{\f5\'ED}{\f5\'E0}{\f5\'EB}{\f5\'E8}{\f5\'E7}{\f5\'E0}.\par
\qj \fi0 \sa120 \par
\sa0{\plain\b\fs24 3.1 \qj \fi0 {\f5\'C4}{\f5\'E8}{\f5\'F4}{\f5\'F4}{\f5\'E5}{\f5\'F0}{\f5\'E5}{\f5\'ED}{\f5\'F6}{\f5\'E8}{\f5\'E0}{\f5\'EB}{\f5\'FC}{\f5\'ED}{\f5\'FB}{\f5\'E9} {\f5\'EA}{\f5\'F0}{\f5\'E8}{\f5\'EF}{\f5\'F2}{\f5\'EE}{\f5\'E0}{\f5\'ED}{\f5\'E0}{\f5\'EB}{\f5\'E8}{\f5\'E7}.\par
}\sa60 \par \sa0\qj \fi0 \sa120 \par
\sa0{\plain\b\fs24 3.1.1 \qj \fi0 {\f5\'CE}{\f5\'EF}{\f5\'E8}{\f5\'F1}{\f5\'E0}{\f5\'ED}{\f5\'E8}{\f5\'E5} {\f5\'EA}{\f5\'F0}{\f5\'E8}{\f5\'EF}{\f5\'F2}{\f5\'EE}{\f5\'E0}{\f5\'ED}{\f5\'E0}{\f5\'EB}{\f5\'E8}{\f5\'E7}{\f5\'E0}.\par
}\sa60 \par \sa0\qj \fi0 {\f5\'C4}{\f5\'E8}{\f5\'F4}{\f5\'F4}{\f5\'E5}{\f5\'F0}{\f5\'E5}{\f5\'ED}{\f5\'F6}{\f5\'E8}{\f5\'E0}{\f5\'EB}{\f5\'FC}{\f5\'ED}{\f5\'FB}{\f5\'E9} {\f5\'EA}{\f5\'F0}{\f5\'E8}{\f5\'EF}{\f5\'F2}{\f5\'EE}{\f5\'E0}{\f5\'ED}{\f5\'E0}{\f5\'EB}{\f5\'E8}{\f5\'E7} {\f5\'E8}{\f5\'F1}{\f5\'EF}{\f5\'EE}{\f5\'EB}{\f5\'FC}{\f5\'E7}{\f5\'F3}{\f5\'E5}{\f5\'F2} {\f5\'E2}{\f5\'FB}{\f5\'F1}{\f5\'EE}{\f5\'EA}{\f5\'F3}{\f5\'FE} {\f5\'E2}{\f5\'E5}{\f5\'F0}{\f5\'EE}{\f5\'FF}{\f5\'F2}{\f5\'ED}{\f5\'EE}{\f5\'F1}{\f5\'F2}{\f5\'FC} {\f5\'E2}{\f5\'EE}{\f5\'E7}{\f5\'ED}{\f5\'E8}{\f5\'EA}{\f5\'ED}{\f5\'EE}{\f5\'E2}{\f5\'E5}{\f5\'ED}{\f5\'E8}{\f5\'FF} {\f5\'EE}{\f5\'EF}{\f5\'F0}{\f5\'E5}{\f5\'E4}{\f5\'E5}{\f5\'EB}{\f5\'E5}{\f5\'ED}{\f5\'ED}{\f5\'FB}{\f5\'F5} {\f5\'F0}{\f5\'E0}{\f5\'E7}{\f5\'EB}{\f5\'E8}{\f5\'F7}{\f5\'E8}{\f5\'E9} {\f5\'EE}{\f5\'F2}{\f5\'EA}{\f5\'F0}{\f5\'FB}{\f5\'F2}{\f5\'EE}{\f5\'E3}{\f5\'EE} {\f5\'F2}{\f5\'E5}{\f5\'EA}{\f5\'F1}{\f5\'F2}{\f5\'E0} {\f5\'E8} {\f5\'F0}{\f5\'E0}{\f5\'E7}{\f5\'EB}{\f5\'E8}{\f5\'F7}{\f5\'E8}{\f5\'E9} {\f5\'F8}{\f5\'E8}{\f5\'F4}{\f5\'F0}{\f5\'F2}{\f5\'E5}{\f5\'EA}{\f5\'F1}{\f5\'F2}{\f5\'E0} {\f5\'E2} {\f5\'EF}{\f5\'EE}{\f5\'F1}{\f5\'EB}{\f5\'E5}{\f5\'E4}{\f5\'ED}{\f5\'E8}{\f5\'E9} {\f5\'F0}{\f5\'E0}{\f5\'F3}{\f5\'ED}{\f5\'E4}{\f5\'E5}. {\f5\'CD}{\f5\'E0}{\f5\'EF}{\f5\'F0}{\f5\'E8}{\f5\'EC}{\f5\'E5}{\f5\'F0}, {\f5\'F0}{\f5\'E0}{\f5\'F1}{\f5\'F1}{\f5\'EC}{\f5\'EE}{\f5\'F2}{\f5\'F0}{\f5\'E8}{\f5\'EC} {\f5\'F1}{\f5\'E8}{\f5\'F1}{\f5\'F2}{\f5\'E5}{\f5\'EC}{\f5\'F3} {\f5\'F1}{\f5\'EE} {\f5\'E2}{\f5\'F5}{\f5\'EE}{\f5\'E4}{\f5\'EE}{\f5\'EC} \par
{\pard\tqc\tx3450\tab {\field{\*\fldinst{ EQ {\i X}=[{\i X}{\dn6\fs16 1}{\fs15 }{\i X}{\dn6\fs16 2}{\fs15 }...{\fs15 }{\i X}{\dn6\fs16 {\i n}}]}}{\fldrslt }}\par
}\qj \fi0 {\f5\'E8} {\f5\'E2}{\f5\'FB}{\f5\'F5}{\f5\'EE}{\f5\'E4}{\f5\'EE}{\f5\'EC} \par
{\pard\tqc\tx3450\tab {\field{\*\fldinst{ EQ {\i Y}=[{\i Y}{\dn6\fs16 1}{\fs15 }{\i Y}{\dn6\fs16 2}{\fs15 }...{\fs15 }{\i Y}{\dn6\fs16 {\i n}}].}}{\fldrslt }}\par
}\qj \fi0 {\f5\'C2}{\f5\'EE}{\f5\'E7}{\f5\'FC}{\f5\'EC}{\f5\'E5}{\f5\'EC} {\f5\'E4}{\f5\'E2}{\f5\'E0} {\f5\'E2}{\f5\'F5}{\f5\'EE}{\f5\'E4}{\f5\'E0} {{\i X}'} {\f5\'E8} {{\i X}''} c {\f5\'F1}{\f5\'EE}{\f5\'EE}{\f5\'F2}{\f5\'E2}{\f5\'E5}{\f5\'F2}{\f5\'F1}{\f5\'F2}{\f5\'E2}{\f5\'F3}{\f5\'FE}{\f5\'F9}{\f5\'E8}{\f5\'EC}{\f5\'E8} {\f5\'E2}{\f5\'FB}{\f5\'F5}{\f5\'EE}{\f5\'E4}{\f5\'E0}{\f5\'EC}{\f5\'E8} {{\i Y}'} {\f5\'E8} {{\i Y}''}, {\f5\'F1}{\f5\'EE}{\f5\'EE}{\f5\'F2}{\f5\'E2}{\f5\'E5}{\f5\'F2}{\f5\'F1}{\f5\'F2}{\f5\'E2}{\f5\'E5}{\f5\'ED}{\f5\'ED}{\f5\'EE}. {\f5\'D0}{\f5\'E0}{\f5\'E7}{\f5\'ED}{\f5\'EE}{\f5\'F1}{\f5\'F2}{\f5\'FC} {\f5\'FD}{\f5\'F2}{\f5\'E8}{\f5\'F5} {\f5\'E4}{\f5\'E2}{\f5\'F3}{\f5\'F5} {\f5\'E2}{\f5\'F5}{\f5\'EE}{\f5\'E4}{\f5\'EE}{\f5\'E2} {\f5\'E7}{\f5\'E0}{\f5\'E4}{\f5\'E0}{\f5\'E5}{\f5\'F2}{\f5\'F1}{\f5\'FF} {\f5\'EA}{\f5\'E0}{\f5\'EA} {{\f9 D}{\i X}={\i X}'{\f9\'c5}{\i X}''}, {\f5\'E3}{\f5\'E4}{\f5\'E5} {{\f9\'c5}} {\f5\'EF}{\f5\'F0}{\f5\'E5}{\f5\'E4}{\f5\'F1}{\f5\'F2}{\f5\'E0}{\f5\'E2}{\f5\'EB}{\f5\'FF}{\f5\'E5}{\f5\'F2} {\f5\'E4}{\f5\'E2}{\f5\'EE}{\f5\'E8}{\f5\'F7}{\f5\'ED}{\f5\'F3}{\f5\'FE} {\f5\'EE}{\f5\'EF}{\f5\'E5}{\f5\'F0}{\f5\'E0}{\f5\'F6}{\f5\'E8}{\f5\'FE} {\f5\'C8}{\f5\'F1}{\f5\'EA}{\f5\'EB}{\f5\'FE}{\f5\'F7}{\f5\'E0}{\f5\'FE}{\f5\'F9}{\f5\'E8}{\f5\'E5}-{\f5\'C8}{\f5\'CB}{\f5\'C8} {{\i n}}-{\f5\'E1}{\f5\'E8}{\f5\'F2}{\f5\'ED}{\f5\'FB}{\f5\'F5} {\f5\'E2}{\f5\'E5}{\f5\'EA}{\f5\'F2}{\f5\'EE}{\f5\'F0}{\f5\'EE}{\f5\'E2} {\f5\'E8}, {\f5\'F1}{\f5\'EB}{\f5\'E5}{\f5\'E4}{\f5\'EE}{\f5\'E2}{\f5\'E0}{\f5\'F2}{\f5\'E5}{\f5\'EB}{\f5\'FC}{\f5\'ED}{\f5\'EE}, \par
{\pard\tqc\tx3450\tab {\field{\*\fldinst{ EQ {\f9 D}{\i X}=[{\f9 D}{\i X}{\dn6\fs16 1}{\fs15 }{\f9 D}{\i X}{\dn6\fs16 2}{\fs15 }...{\fs15 }{\f9 D}{\i X}{\dn6\fs16 {\i n}}]}}{\fldrslt }}\par
}\qj \fi0 {\f5\'E3}{\f5\'E4}{\f5\'E5} {{\field{\*\fldinst{ EQ {\f9 D}{\i X}{\dn6\fs16 {\i i}}={\i X}'{\dn6\fs16 {\i i}}{\f9\'c5}{\i X}''{\dn6\fs16 {\i i}}}}{\fldrslt }}}. {\f5\'CF}{\f5\'EE}{\f5\'E4}{\f5\'EE}{\f5\'E1}{\f5\'ED}{\f5\'FB}{\f5\'EC} {\f5\'EE}{\f5\'E1}{\f5\'F0}{\f5\'E0}{\f5\'E7}{\f5\'EE}{\f5\'EC} {\f5\'EE}{\f5\'EF}{\f5\'F0}{\f5\'E5}{\f5\'E4}{\f5\'E5}{\f5\'EB}{\f5\'FF}{\f5\'E5}{\f5\'F2}{\f5\'F1}{\f5\'FF} {\f5\'F0}{\f5\'E0}{\f5\'E7}{\f5\'ED}{\f5\'EE}{\f5\'F1}{\f5\'F2}{\f5\'FC} {\f5\'E4}{\f5\'E2}{\f5\'F3}{\f5\'F5} {\f5\'E2}{\f5\'FB}{\f5\'F5}{\f5\'EE}{\f5\'E4}{\f5\'EE}{\f5\'E2} {{\f9 D}{\i Y}}.\par
\qj \fi300 {\f5\'C2} {\f5\'E8}{\f5\'E4}{\f5\'E5}{\f5\'E0}{\f5\'EB}{\f5\'FC}{\f5\'ED}{\f5\'EE}{\f5\'EC} {\f5\'F0}{\f5\'E0}{\f5\'ED}{\f5\'E4}{\f5\'EE}{\f5\'EC}{\f5\'E8}{\f5\'E7}{\f5\'E8}{\f5\'F0}{\f5\'EE}{\f5\'E2}{\f5\'E0}{\f5\'ED}{\f5\'ED}{\f5\'EE}{\f5\'EC} {\f5\'F8}{\f5\'E8}{\f5\'F4}{\f5\'F0}{\f5\'E5}, {\f5\'E2}{\f5\'E5}{\f5\'F0}{\f5\'EE}{\f5\'FF}{\f5\'F2}{\f5\'ED}{\f5\'EE}{\f5\'F1}{\f5\'F2}{\f5\'FC}, {\f5\'F7}{\f5\'F2}{\f5\'EE} {\f5\'EE}{\f5\'EF}{\f5\'F0}{\f5\'E5}{\f5\'E4}{\f5\'E5}{\f5\'EB}{\f5\'E5}{\f5\'ED}{\f5\'ED}{\f5\'E0}{\f5\'FF} {\f5\'F0}{\f5\'E0}{\f5\'E7}{\f5\'ED}{\f5\'E8}{\f5\'F6}{\f5\'E0} {{\f9 D}{\i Y}} {\f5\'EF}{\f5\'F0}{\f5\'EE}{\f5\'E8}{\f5\'F1}{\f5\'F5}{\f5\'EE}{\f5\'E4}{\f5\'E8}{\f5\'F2} {\f5\'EF}{\f5\'F0}{\f5\'E8} {\f5\'EE}{\f5\'EF}{\f5\'F0}{\f5\'E5}{\f5\'E4}{\f5\'E5}{\f5\'EB}{\f5\'E5}{\f5\'ED}{\f5\'ED}{\f5\'EE}{\f5\'E9} {\f5\'F0}{\f5\'E0}{\f5\'E7}{\f5\'ED}{\f5\'EE}{\f5\'F1}{\f5\'F2}{\f5\'E8} {{\f9 D}{\i X}}, {\f5\'F0}{\f5\'E0}{\f5\'E2}{\f5\'ED}{\f5\'FF}{\f5\'E5}{\f5\'F2}{\f5\'F1}{\f5\'FF} {{\field{\*\fldinst{ EQ 1/2\\s\\up5({\fs16 {\i n}})}}{\fldrslt }}}, {\f5\'E3}{\f5\'E4}{\f5\'E5} {{\i n}} \emdash {\f5\'F7}{\f5\'E8}{\f5\'F1}{\f5\'EB}{\f5\'EE} {\f5\'E1}{\f5\'E8}{\f5\'F2} {\f5\'E2} {{\i X}}. {\f5\'C4}{\f5\'E8}{\f5\'F4}{\f5\'F4}{\f5\'E5}{\f5\'F0}{\f5\'E5}{\f5\'ED}{\f5\'F6}{\f5\'E8}{\f5\'E0}{\f5\'EB}{\f5\'FC}{\f5\'ED}{\f5\'FB}{\f5\'E9} {\f5\'EA}{\f5\'F0}{\f5\'E8}{\f5\'EF}{\f5\'F2}{\f5\'EE}{\f5\'E0}{\f5\'ED}{\f5\'E0}{\f5\'EB}{\f5\'E8}{\f5\'E7} {\f5\'F1}{\f5\'F2}{\f5\'F0}{\f5\'E5}{\f5\'EC}{\f5\'E8}{\f5\'F2}{\f5\'F1}{\f5\'FF} {\f5\'ED}{\f5\'E0}{\f5\'E9}{\f5\'F2}{\f5\'E8} {\f5\'F2}{\f5\'E0}{\f5\'EA}{\f5\'F3}{\f5\'FE} {\f5\'F1}{\f5\'E8}{\f5\'F2}{\f5\'F3}{\f5\'E0}{\f5\'F6}{\f5\'E8}{\f5\'FE}, {\f5\'E2} {\f5\'EA}{\f5\'EE}{\f5\'F2}{\f5\'EE}{\f5\'F0}{\f5\'EE}{\f5\'E9} {\f5\'EE}{\f5\'EF}{\f5\'F0}{\f5\'E5}{\f5\'E4}{\f5\'E5}{\f5\'EB}{\f5\'E5}{\f5\'ED}{\f5\'ED}{\f5\'E0}{\f5\'FF} {\f5\'F0}{\f5\'E0}{\f5\'E7}{\f5\'ED}{\f5\'EE}{\f5\'F1}{\f5\'F2}{\f5\'FC} {{\f9 D}{\i Y}} {\f5\'EF}{\f5\'F0}{\f5\'EE}{\f5\'E8}{\f5\'F1}{\f5\'F5}{\f5\'EE}{\f5\'E4}{\f5\'E8}{\f5\'F2} {\f5\'EF}{\f5\'F0}{\f5\'E8} {\f5\'EE}{\f5\'EF}{\f5\'F0}{\f5\'E5}{\f5\'E4}{\f5\'E5}{\f5\'EB}{\f5\'E5}{\f5\'ED}{\f5\'ED}{\f5\'EE}{\f5\'E9} {\f5\'F0}{\f5\'E0}{\f5\'E7}{\f5\'ED}{\f5\'EE}{\f5\'F1}{\f5\'F2}{\f5\'E8} {{\f9 D}{\i X}} {\f5\'F1} {\f5\'EE}{\f5\'F7}{\f5\'E5}{\f5\'ED}{\f5\'FC} {\f5\'E2}{\f5\'FB}{\f5\'F1}{\f5\'EE}{\f5\'EA}{\f5\'EE}{\f5\'E9} {\f5\'E2}{\f5\'E5}{\f5\'F0}{\f5\'EE}{\f5\'FF}{\f5\'F2}{\f5\'ED}{\f5\'EE}{\f5\'F1}{\f5\'F2}{\f5\'FC}{\f5\'FE} ({\f5\'F2}{\f5\'EE} {\f5\'E5}{\f5\'F1}{\f5\'F2}{\f5\'FC}, {\f5\'ED}{\f5\'E0}{\f5\'EC}{\f5\'ED}{\f5\'EE}{\f5\'E3}{\f5\'EE} {\f5\'E1}{\f5\'EE}{\f5\'EB}{\f5\'FC}{\f5\'F8}{\f5\'E5}{\f5\'E9} {\f5\'F7}{\f5\'E5}{\f5\'EC} {{\field{\*\fldinst{ EQ 1/2\\s\\up5({\fs16 {\i n}})}}{\fldrslt }}}). {\f5\'CF}{\f5\'E0}{\f5\'F0}{\f5\'E0} {({\f9 D}{\i X},{\f9 D}{\i Y})} {\f5\'ED}{\f5\'E0}{\f5\'E7}{\f5\'FB}{\f5\'E2}{\f5\'E0}{\f5\'E5}{\f5\'F2}{\f5\'F1}{\f5\'FF} {\f5\'E4}{\f5\'E8}{\f5\'F4}{\f5\'F4}{\f5\'E5}{\f5\'F0}{\f5\'E5}{\f5\'ED}{\f5\'F6}{\f5\'E8}{\f5\'E0}{\f5\'EB}{\f5\'EE}{\f5\'EC}.\par