@∧β⊂dβT`λfsYlpfsYlhfs9\pg3Ylpg3zxg39\xgsylpg3y⎇g3y⎇gsy|pgsylxg3z≥h3z≥λh4→|xh4→|xht~
λht~
λgtZ-λh4~
λi4:≥⊂ht~
λht~
λh4:≥λi4z-λhtZ=_i4Z-⊂ht:-⊂i4z-λht:
λi4:- i4Z-λi4z-λi4:≥λh4:-⊂i4z-λi4z=⊂i4:-_i4:≥⊂htZ≥⊂htz=⊂j4z-_itz=⊂i4zM_itZ= itz-⊂itZ-λht:≥ i4Z≥λiu~=_iu~=_i4z=⊂i4z=⊂i5~=⊂htz=_itz-_itZ=_j5~M j4Z=_itZ≥_itzM j5~](j5:M jtz= j5ZM(jtz=_j5~= ju:M iu~M_itz] j5~M_iu~= j5~=(iu~-⊂itz= i4ZM_j4z≥_itzM_j5:M j4zM itz=_j5~= j5:M itzM jtz= j4zM itzM(itz= j4zM(iu:M_itzM_ju~=⊂itZM j5~](itZM(ju~M itzM_ju~](k5~M_ju~=⊂itz=_j4z= j5~-_j5~] i4Z≥⊂i4Z≥⊂i4zM_j4z-⊂i4z=⊂j4Z=_j4z-λi4Z-⊂itZ-⊂i4Z-λi4:-⊂i4Z-λj4z=λi4z=λitZ= itZ=⊂iu~= itZ-_itz=_iu~=⊂j5~=_itZ= itz=_itz≥⊂i4:=_itz-_i4Z-⊂itz=_itz=_i4Z≥_j5:] j4zM itz= j4z- iu~M itzM(ju~M ju~] j5:M jtzM ju~M iu:] i5~](j5~M ju~M iu~=_j5~M(j4z]0ju:M ju:](j5:]0ju~]0k5Zm(j5~M j4z=⊂iu~= itz=_itzM itz-⊂i4z= itzM_i4Z=⊂j5~M_i4z= i4z= j4zM ju~=_j5~M(j4zM ju:M(iu~m j5~m8k5Zm0juZm j5Z⎇8ku:]0ju:M(k5Zm0ju:m0k5:]8kuZm0k5Zm0k5Zm0k5z](k5Zm(juzm@k5Zm0kuzm0ju:]@k5Zm(kuz](kuz](k5:m0kuz⎇0k5Zm0k6≠
Hl6;-Xf39\`fsYlhfs9|xg39lpfs9lxg3YlpgsYlhg3Y|xgsylpgsylxgszxgsZ≥ht~
gt~xgt→⎇h4~
λi4:
λht:-⊂i4:
ht:≥⊂htZ
⊂i4:-λh4~≥⊂htZ-λi4Z≥_htz-⊂htz-⊂itz-λi4Z≥λi4:≥λi4Z≥λitz-i4Z≥λht:≥λi4z
i5~=⊂i4Z≥_it:≥λhtZ=λitZ-⊂i4z=_j4z-_i4z= it:=⊂itZ-⊂j4z-⊂i4Z-⊂i4Z=⊂itz=_j4zM_itZM⊂itz=_i4z=⊂itz=_i4z- itz=_iu~= itZ=_j4z-⊂iu~=_j5~](j5~M ju~= j4z= j4z= j5~= ju~M i4zM i4z= ju~] j4z= j4ZM j5~-_itz-_itzM_j4ZM_itzM iu~=_itz= iu~M j4z= j5~M iu~] j5:- j4z=_j4z= j4zM_jtz=(iu~]_itZ- ju~=_iu~M j5~M(j4ZM(j5~=_j4zM j5~M ju~M j5~=_itZ=_itz-⊂itz-_iu~] i4:-_itZ≥λiu~-⊂i5~-⊂itZ=⊂i4Z≥⊂i4Z≥λhtZ=_i4:-_htZ-⊂itZ-_i4z-⊂i4Z-⊂htz-i4z- i5~M itz=_itz=⊂i4z=_itz= j4z=_i4zM_i4z=_i4z-⊂itZM_itz-_itz-⊂i4z=_itz-_itz-_iu~=⊂iu~M(iu~= itz- j5~=_itz=(ju:M(ju~M j5~M ju~M(ju~M j5~M_iu~](j5~M ju~M_j5:] j5~M(ju~m j5:](ju:M(j5:](k5:M(juZm0j5~M itZ-_j5:=_i5~=_iu~M_itz=_i4zM j4z= i4z= j5:M⊂itZ=_j4zM jtz=_j4z=_iu~](j5~M juZM iu~](j5~m0k5Zm(k5Z](juZm0k5:](juZM k5{
8ju:m0k5~m0kuzm(kuzm0k5Z]0k5Z](ju:]0k5Zm0juZ](k5:m0juZm8ju:m(kuZm(kuzm(juZ]0l5z⎇0kuZm0kv≠≥Hlv≠≥PfsY\pfsY|hg39lpfsYlhf39\pg39|xg4→lpgs9|xg3Y|pgsylxg3ylhgsY|xg3z
gt~≤ph3Z≥λh3z
λi4Z
htZ-λht~≥i4:
λi4Z-λh4Z≥⊂htZ-⊂i4:-htZ≥λhtZ≥λi4:-_i4z-λitZ-_ht:≥i4z≥λi4Z≥htZ-⊂i4:
⊂i4Z≥λi4Z-_it~-_itZ≥⊂i4Z-⊂i4:=_itZ= j4Z-_htZ= i4:-_i4Z-⊂itz=⊂i4Z=⊂i4Z=_iu~=_itz=_i4z=⊂itZ-⊂itz=_itz-_itZ=_itZ-_itz=_itzM jtz=_itz=_j5~M itz=_j5~M j4Z= iu~= ju~M ju:] itz= j4zM ju~M iu~=_itZ=_j4zM j4z=_itz] itz- itzM_j5~M_itz- j5~M j5~M j5~] ju~] ju~=(ju~= itz= itZ= j5~=_iu~M_j4z=(jtZ=_j4zM j5:] jtzM_j5~M iu~M_j4z= j5:m j5:M⊂itZ= j4z-⊂j4z=_j5~M_it:-_i4z=λi4Z- i4z=λitz=⊂htz≥λi4:≥⊂htZ-⊂i4:-λhtZ-λi4z-λitZ-⊂i4Z=_i4z=λi4z=_i5~=⊂iu~M⊂itZ- i4Z=_j4z-⊂j5~=⊂i4zM_itz=_itz=⊂i5~=_itz=⊂itZ=_iu~M_j4z=_i4Z-λiu~≥⊂i4Z= itz=(itz-⊂iu~M_itzM(j5~= j5~M j4z] iu:M ju~M_j4z]_iu:M(ju:](j5~M ju:] j5~M(ju:M ju:M(ju:](k5:](j5ZM(j5Zm0ju~M itz-_itz=⊂iu~M itz=⊂itz=_itz= j5~M it:M j5~=_itz-⊂itz=_ju~M(ju~M(j5~] ju~M ju:](j5:m(k5:M(k5:] ju:]0ju:m0ju:](k5ZM(k5{≥8juZm8k5~m(k5zm0k5Zm0juZm0kuZ](juZm8k5Zm0l5:m(k5zm(j5:m0k5:]0kuzm0juZm0ju:m8kv~m0k5z⎇0kv≠
Hlv≠
XfsYlpg39|pfs9\`f39|hf3Ylxh4→|pg4→lpfsy|xg3y⎇h3y|pg3y\hgsY⎇h3zxht:xh3Z
λht~
λht:≥λh4:-λht~-λh4Z-⊂htZ-λh4:≥h4Z-⊂i4:≥i4Z-λi4:≥λht:-⊂htZ-⊂i4z-_ht~≥⊂ht:
htZ-⊂htZ≥⊂i4~≥λh4~≥λi4Z-⊂i4Z≥⊂itZ-⊂i4:-_htz=⊂i4Z-_i4z-⊂i4Z=_i4Z=_itZ-_i4zM⊂itZ-_htZ=_j5~-⊂htZ-⊂i4Z-_itz=⊂iu~M i5~= i4Z-_itZ=_itz=_itz] itZ≥λi4z=_j5~M j4zM(ju~=_j5:=_ju~M ju~=(ju:M_i5~M(itzM ju:=⊂j5~]⊂j4z= j4z= j5~=_i5~M_j4z= j4Z=⊂j5~= itz- itz=(j5:-_iu~] j4Z= jtz= ju~=_j5~M j4z- itzM_itzM j5~= j4Z-⊂itZM_iu~M(j4zM_i4Z= iu~M itz=(itzM j5:=⊂i4Z= j4z=_itz=_iu~M_i4z-⊂i4z-_itZ=_i5~=_i4z-⊂i4Z≥i4Z-λi4Z=⊂htZ≥⊂i4z-λi4Z-λhtZ≥⊂itz-i4Z=λhtz=⊂i4z=_iu~=⊂i4Z-⊂i4z-⊂j4z-⊂i5~-⊂htZ=_itZ-⊂itz=_i5~=_i4z= itZ=⊂i5~=_itz=_itz-λiu~≥⊂i4Z=_i5~M j4z= j5~M(j4zM(ju~M j5~M ju:] j5:M(ju~M itzM_j5~M ju~](j5~=_ju:]_i4z= juZM(ju~](ju:](ju:](ju:](juzm j4zM j4z=_j4zM iu~=_itzM_j4z-_j4z= j4Z= itzM ju:-_iu~=⊂j4z= jtz= iu~M j5~](k5:]0j5:](j5~] ju~M ju~m juZm0j5:](ju~M0k5Z](ju:m0j5:m8k5:]0k5:]0juZ⎇0k5:](k5Zm0ku:m8k5Zm8l5Zm0kuzm0juZm0ju:m8kuz](k5:⎇0j5:m8k5z⎇8k5zm0ku{
Plv≠
PfsYlpf3Ylhg39\hf3→\pf3Y|xgsZpg3y\xg3Ylxg3ylxh3ylxgsY|pgsy⎇ht~≥ht~
gsy⎇λh4~≥ht:≥ht:xht:≥⊂htZ≥htz≥⊂ht:-htZ-λht:-λj4z-λi4Z=⊂ht~≥λht:≥λi4Z≥_ht:-λi4:≥λh4Z-⊂i4:=λi4:
λi4:≥λi4z-_i4Z≥⊂j4Z-_it:-λi4z=⊂i4Z≥⊂i4z
⊂htz-_ht:- j4z-⊂iu~M_itz-_itZ-_j5~-λhtZ-⊂i4z-_j5:-_iu~=_itZ-⊂itZ=⊂i4Z=⊂itz=⊂i4z=_itZ-⊂i4z-⊂iu~M(j4z=(j4zM iu:M_ju~M j4Z=_j5:M⊂iu~] ju~M j5~Mλj4z=_j5~M(ju~= j5~=⊂iu~=_j4ZM_iu~M_j4z=_itz=_j4z]_j5~M⊂i5~]_j5~= ju~=_j5~M_jtzM(j4z- j4z=_iu~M j5~=(j4z=_j4zM_iu~M j5~= j4zM(j4z] iu~M_itz=_itZ=⊂htZ=_itz= j4zM⊂j5~]_i4z=_itz≥⊂itz-_iu~=_itZ-⊂itZ=λi4z-_i4z-_itZ-_itZ-λi4z≥⊂htZ-_itz≥itZ=⊂i4Z-_itZ-_j4z=_i4Z-λitz=⊂i4Z-_j5~M_itZ= i4Z-_j4z=_j5~M⊂itZ= itZ=_j5~=_itz-⊂i5~=_iu~-_itZM_itzM j5~=⊂j5:M i5~= itzM ju~=_iu~] j5:M j5:M_j5~M j5:M j5~M iu~=_j5:M(j4ZM ju:M ju:](j5~]_ju:](juZM(j5:](j5~M j5~= j5:M itz=_j5~=_itz-⊂j5~M it:= itz- j5~-_iu~]_iu~= jtz- j5~M j4zM(ju~M0k5Zm0j5~M(j4zM(j5:] juZm0j5:](jtz](k5Zm(ju~](ju:⎇8k5:m(ju:]0ju:m0k5Z]0k5Z⎇0ju:m0ju:m8ku:m0k5zm0k5Z⎇0ju:]0k5zm(k5Z](juZm0kuZ]0ku{
8kuz⎇Hlu{-Pg3→lpf39lhfs9|pfszpfs9|xhsY|pgsy|pfs9|xfsZxgsy|pgt~xgt~
h4~≤xh4~xgt~
λgt~≥λht~≥λh4Z-ht:-⊂i4:xh4z≥⊂itZ≥⊂itZ-ht~-λi4z-λi4z-_ht:
⊂htZ≥⊂i4Z≥⊂i4:≥⊂i4Z-_htZ=⊂htZ-λh4Z
htZ≥λhtZ=_ht:=_itZ-⊂i4Z-λhtz=_itZ-_itz≥λiu~=⊂i4:-⊂j4Z=⊂itz= j5~M_i4Z≥⊂i5~-λi4z=⊂i4z=⊂j4z=_itz- itZ-_itz=⊂i4:=⊂i4ZM_i4Z= j5~=_itz-_itz= j4zM ju~M j5:=⊂itZ=_j4zM_j5~M_iu~M j5~= j4zM_j5:]⊂iu:M j4z- j5:M_iu~=⊂j4z-_j5~=_j5~M_iu~M jtzM_iu:M⊂htZM iu~M_jtzM_jtz=_j4z=_itzM ju:=⊂i5~M jtz] jtzM(j5~=⊂iu~M_i5~Lxj4z=(ju~]_itz= j4z=⊂i4zM_j4z= i4zM_itz=⊂j5~M_j4z-_itZ≥⊂itZ-_i4z=_i4Z-⊂i4z=λhtz=⊂i4z-_itz-_itZ≥λi4:-λitZ-⊂itz-λj4Z-⊂i4Z-_it:=_itz=⊂i4Z=⊂itZ=⊂i4z=_i4zM j4z=_itZ-⊂i4Z= j5~=⊂i4z= itZ-_iu~=⊂iu~=_i5~= itz=_i4Z] itzM ju~=_j5~] i4z= j4z=(ju~M_iu~M itzM(ju~M_j5:M j5~= itZ=_iu~M juZM(jtz=_j5:M k5:](ju:m(j5~M0juZ](j5~]0ju~M_itz= j5~= j5~=⊂j5~=_i4z-λiu:]_itzM_j4Z-_j5~= itz]_i4z= k5~-(j5~=_j5:](ju:M0k5:m(ju~] iu~M j5~](ju:]0ju:]0ju~] ju:](juZ⎇8ju:⎇0k5Z](j5:m(ju:m0juZ]8ku{
0k5z⎇0k5Z⎇8k5Zm0kuZm0k5Zm(ju~M(k5Zm0juZm(ju~m0k5Zm8kv≠
8ku{
8l5{-Hf39\pfs9\hg39lpfszpfs9mhsYlxh3y|pg3Ylpgsz
λh3Y|xft~xgt~xh4:≥λht~xh4~
h3z
h4→⎇λht:-⊂ht:≥⊂ht:
h5~=⊂itZ-_j4z=λht~≥λi4z=⊂i4z=⊂i4Z
_ht:
⊂i4Z≥⊂i4:-_i4Z≥λi4Z=λhtZ-λht~≥⊂i4Z-⊂htZM⊂i4~= i4~≥⊂it:-h4Z=_itZ-⊂itZ≥λhtZ-⊂htZ-⊂itZ≥λitz-_i4z=λi4Z= i4Z=⊂itz=_i4ZM_itz=_itz-_itzM_itZ=_i4Z-λi4Z=⊂itZ] ju~M itZ-_itz-_itz=_jtz= j5:M_itzM i4zM_ju:M iu~M j4z=_ju~M ju:M_j5~M itZ- i4z= itz=_j4zM itZ-⊂iu~=_itz= itz=_iu~=_i4Z= j5~M j4z= j5~M_itZ=_iu~= j5~M⊂iu~](ju~M(ju~M(ju:M_iu~= iu~= ju~= ju~M itz=_itz-_j5~=_iu~=(i4Z= itZ-λj5~M_i4Z≥⊂ht:-⊂itz=⊂i4z-⊂itz=_itz-⊂i4Z≥⊂itZ-⊂itz-λhtZ
ht:-_it:-_itZ=⊂i4Z-⊂h4:=⊂i4Z-⊂i4Z=⊂i4:=⊂ht:=⊂i4Z-_i4Z=_itZ-_i4Z=⊂itZ=_j5~M_iu~=_itz=_iu~M⊂itz=⊂htz= iu~=_itzM j4zM(j4z= j5:] i4ZM_j4z=(ju~= k5Z]_j5~M(iu~M_ju:=_j5:= j5~M ju~-_iu~] j4z= j4z]0ju:M j5:](iu~M(j5Z](ju~](j4zM_itZ= itz-_itzM_itz=_j4z-⊂j5~]_iu~=_j5~- i4zM itZM i5~M ju:= iu~= j5~M(k5~M(ju:] ju:M_j4zM(ju:m(k5:⎇0ju~]0k5:](ju:m(j5:⎇0j5:m(k5:]0k5:](iu~m8k5Z]0l5z⎇8kuzm(k5Z⎇0juZ]0k5Zm0k5Z](ju:M0k5Z]0k5zm(ju:]0k5Zm8kv~⎇@lv≠
@l6≠-Pes9|pfs→\xgsYlhfsYlxfs9Lxgs9lpg3Ylhfs9lpgt~
λh3y|xg3Y|xh3y|xh4~≥h4~≤xh4~≥λhsY|xi4:
ht:-λhtZ-λi4Z≥λh4Z≥λitZ= j4z=⊂i4~-⊂itz-λi4ZM_i4:-_i4:≥⊂i4Z≥⊂i4Z≥_i4z≥htz-⊂i4Z=_i4:≥⊂i4Z≥⊂htZ-⊂i4Z= it~≥_itZ-λhtz=⊂htZ≥⊂j4z-_i4:=⊂i4z≥⊂ht:-⊂itZ=⊂i4Z=_i4Z-_itz=_itzM i4ZM_itz-⊂itz= itZ=_itz≥⊂itz=⊂i4Z=_itz=_j4zM_itZ-⊂i4z-_i4z=_k5~=(j5:M itz= itZ= iu~=⊂iu~M j4z-_iu~=_j4z] ju~M⊂itz=(ju~M_iu:= iu~M j4z=_i5~M_itZ= jtz= itz- j5~M j5~=_ju~=_j5~=_itzM_i4ZM itz] iu~](j5~](ju~=_j5~=⊂i4Z=_j5~M ju~M(j5~=_iu~= j4z-_iu:=⊂itzM_itZ-⊂itz-_iu~=⊂i4z-λht:=_itz-⊂htz-_itz=_i4Z
λh4:≥λi4Z=λi4Z=λh4:≥λht:≥⊂ht:=_itZ-⊂i4Z-⊂gt:=_it:-⊂i4z-⊂itZ=_i4~≥_ht:=_itZ=λi4Z-_itZ=_j4z-_i4zM_itz=_itz-_itz-⊂j4Z-_itZ= i4zM_htz=_itzM itzM j4zM i4z=_j4Z= ju~= ju:M_j5~=(j4zM(j5~M_iu:M iu~] ju~- j5~M j4zM(ju~] ju:M j5:] j5~](juZM(ju:m iu~=_j4z-_j5~=_i5~M⊂i4Z= j4z=_itzM_itz](ju:M j5~=_j5~M_itz=(j5:M ju~M itz=(j5~= ku:m0ju:M_it:M k5~]0k5Z⎇0ju~] k5:M(k5Z] ju~m8k5Z](k5Z]0ju:](ju:⎇8kuZ]0k5zm(k5Z](k5Z⎇0k5Zm(ju:m0k5Z]0k5~]0kuZm0k5Zm(k5Z]0juZ⎇8ku{
@l6≠
@lv[-`f3Y\hfs9\pg3Y\hf39lhfs→\pgs9lpg3ylpfs9|pg3z
λht→|xgsy⎇h3Y]gsY|xht:xgt~
h39⎇htY⎇i4:≥λi4:-⊂htZ≥⊂h4:-⊂htZ=_i4Z-⊂i4~≥⊂i5~-λh4:- i4:-_i4:≥λi4z-⊂h4:-⊂i4:
h4z= itZ≥⊂ht:≥⊂i4Z≥⊂htZ-⊂ht:-⊂j4Z=⊂i4z-λhtz=_i4Z-⊂itz-⊂i4Z-⊂i4Z=_it:-_iu~=⊂htZ-⊂it:-⊂itz=⊂i4zM⊂i4Z-_itZ-⊂j4z=(itzM jtz≥⊂i4z=⊂i4Z≥⊂i5~-⊂j4z-_i4zM iu~](itz= j5~M j5~M_itzM j4zM_itzM_iu~=⊂j4zM_j4z=_itzM_j4z=_i4Z≥_j5~=_j4z= j5~=_j4z=_itz=_iu~M j4z=(j5~-_j5~M j5~=_jtz=⊂iu~=_itz= itZ=_j4zM itzM0j4zM ju~= j4zM_itzM j4zM(j4zM_itz=_i4z= j4z=_itzM_itz=_itZ-_itZ=⊂iu:=_itz=_i4Z
⊂j4z-λi4Z-⊂i4Z=_itZ
λht:≥htz-ht:=⊂ht:≥λhtZ-⊂i4:=⊂itZ≥ht:=⊂ht:=_itZ≥⊂i4Z-_itZ=⊂ht:≥_i4Z=⊂iu~Mλi4Z-⊂itzM_j4z=_iu~M_itzM j4Z=_i5~=_j4z=_itz= iu~=⊂itZ=_j4zM⊂j5~=_iu~M⊂i4Z=_j4z- j5:=_ju:] iu:M(j5~=_j5~M⊂i5:M itzM ju~-_j5~M ju~] ju~] k5:](j5:](ju~] j5:M(j5~] j5:](j5~=⊂j5~= iu~M_itz= j4z-⊂iu~=_i4ZM(ju~M ju~M_iu~M j4ZM j5~= juZ]_j5~M jtz=(ku:](ju:M_itZM ju:](juZm k5:] k5:M(k5:m(k5:⎇0k5Zm(ju:]0k5:m(juZm0k5z⎇0kuzm(k5Z](ju:]0k5:m0k5:m0k5:](j5:](k5ZM(k5:m(ju:m0k5:]0ju{
0l6≠
Hlv[-Xf39lhfsYLhfsY\`fs9\`f3→lph39lpgsYlhgsYlxg3Y⎇gt→⎇h3z≤xgszxgt→lxh4:≤xgt:
λgsylxht9⎇ht:≥λht:-⊂ht~≥λh4~-λgtZ-⊂h4z≥λj4Z≥λhtZ=⊂htZ-_i4:≥⊂it:-λi4z-_i4Z-λht:≥λhtZ-λh4:-⊂i4Z≥λi4Z≥_htZ-λhtZ-⊂i4:≥λi4z=ht:= itz=_i4zM⊂i4Z=⊂h4Z-_ht:≥⊂i5~-⊂itz=_it~≥⊂iu~-⊂i4zM_i4Z-⊂it:-_ju~=_j5~M j4Z-_itz-⊂i4z=⊂i5~=λitz=_i4zM j4z=⊂jtzM itzM_iu~M_iu~] i4ZM⊂itz=_j5~M itzM j5~=⊂j5~M itzM i4z-_j4z-_j4zM i4Z= jtz= i4z-_itz=(j4zM(ju:=⊂itzM j5~=_j4z-⊂j5~M_itZM(itz=_j4zM_iu~](j4z= j4z=_iu~M_itz]_itzM j5~=_itz= j4z= itz=_i4zM_itz-_itZ-_i4Z-⊂iu:-_iu~=_j4z=_itz-λi4Z=⊂i4Z=⊂i4z≥⊂htZ,xh4~-λh4:-i4Z-λh4Z-λhtZ-_i4z-⊂htZ-⊂ht:-_htZ-⊂it:-⊂i4Z-λhtZ=_htZ-⊂iu~=⊂i4Z-_itZ=⊂itZM j4z= itzM j4:-_itzM itZ=⊂i4zM itZ=_itz- itz] j5~M_iu:M⊂i4Z=_itz= j5~= j5:M iu~] ju~=_i5:M⊂i5~](j4z=(k5:M_j5~M(jtzM(j4zM ju~](iu:] j5:] j5:m(juZ](j5:](j4z=⊂j5~-_j4zM itz= itz=_j4z-⊂j5~= j4Z=_j5~=⊂itzM itzM(ju~M j5Z]_iuZ](j4z= juZ](ju:](j4z](j5~](j5:m ju:](k5:M juZ]0juZm(k5Zm0ju:](k5:](j5:m0k5zm8kuZ](juZm0k5Z]0k5zm0k5Zm(ju:M(ju:]0k5Z](juZ⎇0k5:m(ju:]0kv≠
(l6;-@kv;-Xf39\hfsY\pfsYlhg39L`f39lpg39\pgsY|hg3y|xg3ylxgsy|xh4~xg3z≥g3z
h4:xh49⎇h49⎇ht:
λi4:-h4~≥λht:-⊂h4~
ht:≥λh4:-⊂j4z-λi4Z=λhtZ=⊂ht:
⊂htZ≥gtZ≥_i4:-⊂ht:-λht:-λht:-λhtZ≥λht:-_htZ-λhtYm⊂ht~≥⊂i4Z-λhtz= itZ=⊂i4Z=⊂htzM_i4Z-⊂i4:-⊂i5~≥λi4Z=_gt:≥_i5~=⊂itZ-_itZ=_itZ= j5~-_iu~=⊂j4z= it:=_itzM⊂i4z-⊂iu~M_iu~M itZ-_j4z- itz=_iu~M_j4zM j4z=_iu~-⊂j5:M(iu~= itz=⊂iu~] itzM_itz= j4z-⊂htZ= itzM k5~= itz=_itz= itzM(j5:M iu~M j5~-_jtz=_itzM_itzM iu~-_itzM j5:M(itZ=_itz=_iu~] j5~]_i5~M_j5~-⊂itZ=(j4z≥_ju~M_itZ=⊂itz=_itzM_i4Z≥_i4Z≥⊂i4Z-_i4z=λitZM_i4:=_i4Z≥λi4Z≥⊂h4:-gt~≥⊂ht:≥i4z-λhtZ-⊂htZ-_itZ≥⊂i4:-ht~-⊂h4:≥_htZ-_iu~-⊂i4z-λhtZ=⊂itz=λi4:-_i4Z-_i4Z=_it:-_i4zM_j4Z-_itZ= i4Z-_i4z=⊂iu~M_iu~M_i4zM jtz=_iu:M⊂j4z=_i4zM j4z-⊂iu~M ju~] j5~-_i5~M_iu:](j5~M_j5~M j5:m(ju~](ju~M j5:M j5~M ju~M(ju~M(j5:](itzM j5~= j5~=_itzM(itZM itz=_itz-_itz= itz-_iu~M_j5:] itz](ju~M_j5:M j5:] itzM j5~](j5~]0ju~] ju~M iu:m(j5:](ju~] ju:](ju:M(k5:m(ju:m0ju:M0ju:M(j5Z]0kuZm(k5Zm0j5:]0kuZm0k5z](juZ](ju:M0k5z](juz⎇0ku:m(juz]0kuzm0kv~⎇@l6≠≥Xg3→\hfs9\pfsylpg39\pfsYmgsylhg3ylpgsy⎇g3y|xg3Y|xgt→lpg4~≥λh4~
λhtZ≤xgt→|xgt~
λhtZ-λht:
λgtZ
h4:-⊂ht:
htz-⊂ht:-⊂htZ-⊂itZ-λhtz-λi4:
_i4:≥λi4z≥_i4:≥λht~
λi4z-⊂htZ≥λhtZ
ht:-λht:-⊂i4z-_i4:≥λi4Z-_htZ=_htZ-_itz-λhtZ=⊂htz=_it:-_i4z-_htZ-λh4~-_iu~M i4Z=⊂htZ-⊂i4Z=_i4z=_itZ=_j4z=⊂i4z=_i5~M⊂i4zM_j4z-_i5~=_itz=_itZ= j4z=_i4z=_iu~] iu~M j5~=_j5:M j4ZM_itz-_j4z=_i4:M_itz≥⊂j4z=_i4Z= itZ= ju~=_iu:M_j4zM j4ZM j4z= j5~M_itz=_j4Z=_j4z=_itz=_iu~= itz=_j5:M(i4z= j5~=_itz=_j4zM iu~= j5:=⊂i5~=⊂i4Z≥_j4z-_itz=⊂iu~=⊂itz-⊂itZ≥_i4Z≥htZ≥⊂htZ-i4zM_i4Z=⊂it:
λi4:-⊂ht:≥htZ-_i4:≤xi4:
λhtZ-_ht:-⊂i4Z≥λi4:≥⊂ht~≥⊂i4Z=_i4z-λi4Z-λi4Z-_itz=⊂itz-λi4Z≥⊂itZ-⊂j4Z-_itZ=_i4Z-⊂itZ- j5~=⊂htZ-_itz-⊂i5~=_itzM_i4ZM it:-_j5:M⊂j5~=_j5~= itz≥_j5~](ju~M(j5~=⊂j4zM_iu~](jtz= j5:=_j5:m j5~=(j5~M ju:](ju~M(ju~](ju:= k5:] iu:= j4Z=⊂iu~M itz= itz-_j4Z-_itz=_itz= ju~M⊂j5:=(j5~M_i4z](j5~M j5~M j5~M⊂itzM(ju~] j5~](j5~M(ju~= j5ZM j5~M(ju~M k5:M juZ](j5:m(k5Zm0k5:m8ju:](ju:]0k5:m0k5Zm0ju:m0k5:]0k5Z](j5Z]0k5:]0k5Z] j5Zm(k5Z⎇8kuzm0kuzm0kv~⎇@l6[≥Xfs9\hfs→lxgsYlpg3Ylhf3→\xfs9lhg3y|xg3ymgsZ
gt→|xg4~pg3y⎇λht→⎇h4~ph4:≥λh3z
λi4Z≥h4~≥⊂ht:
⊂h4~≥λhtZ
htZ=⊂ht:-⊂i4Z≥λhtZ-λhu~-⊂itZ≥⊂itZ-⊂i4z-⊂h4Z≥λi4Z≥⊂i4Z-⊂i4Z-λh4:-⊂i4Z≥λhtZ-⊂htz-_i4~-_itZ-⊂htZ=⊂htZ-⊂itz
⊂htZ=⊂htZ-_i4~≥⊂itz-⊂itZ=⊂itZ≥_i4z=⊂i4:≥⊂htZ-⊂i4:=⊂i4zM i4Z= j5~=_itz-⊂i4zMλi4ZM itz= i5~=_i4zM_i4ZM j5~- j5~M_iu~= itzM j5~=_j5:M itzM_i4z=⊂j4z= itzM⊂iu~=⊂i4z-⊂j4ZM(j5~M_j4z-⊂j5~=⊂i4zM_itZ=_j5~=_iu:=⊂i4zM(j4zM j5~=_itZ=⊂itz= j5~M_itz] i5~-_j4z=⊂itz=⊂j4z=_itZ- iu:M_itz=_i4Z=λitz-⊂iu~= itz=_i4Z-λi4Z-⊂i4z-⊂i4Z≥⊂itZ-λitz-⊂i4Z-λi4:≥λi4~≥λhtZ≥λhtZ=_ht:
ht:-λhtZ≥λht~≥λi4Z≥λhtZ≥⊂h4:-⊂i4Z≥⊂itZ-λi4Z=⊂i4:≥_itz-⊂i4z- itz=_j4z≥_i4Z=_j4zM(itz-⊂i5~-_j5~=⊂itZ-_iu~-_itz=⊂i4z-_i4ZM iu~=_iu~M⊂i5~M itz= itz=_j5:] i4zM j4z=_itzM_itz](jtz= j5~= j5:M j5:M itzM ju~]0j5~](ju:M(j5:M ju:](j5~M_j4:-⊂iu~=_itzM_i4z=_j4z-_itz=_itz= j5~M j4zM iu~] j4zM(j5ZM ju:] itzM_j4zM juZ]0ju:](ju~M j4z- j5~M j5:]0ju~M(j5~M(j5Zm0ju:m0k5:]0k5Z](ju:m(k5Z⎇0ju~m8ju:m(ju:]0k5:]0juZm0juZ] k5:]8k5:] ju:m0k5Z⎇0k5Z⎇0kv~m(kuz⎇Hlv;
XesY\hf3→\pg39\`fsYlhfsYmg39lpg3y|pg4→mλh4~
h4→|xg3zpg3z
h4~xgt→|xh4~≤xh4~≥ht:
λgt:
ht~
λht~≥λhtz≥λh4~-⊂h4Z≥⊂i4z≥λhtZ≥λh4~-⊂i4Z
λi4Z-⊂htZ-⊂ht:-⊂i4:
⊂itz-⊂i4z=⊂i4:≥⊂i4Z-λhtZ-⊂h4Z≥_i4Z-_j4z-⊂i4z- htZ=⊂i4:≥λi4~≥_i4z-_i4:-⊂j4z-λhtZ-_i4Z≥_j5~=_itz-⊂ht~-λhtZ-⊂i4z-_i4ZM itz-⊂itZ-_i4z=_ht:-_itZ=_iu~] itzM itzM⊂iu~=_itz=_iu~M itZ=_j4z-⊂iu~M_itZ=_htZ=_j4z= i4zM_j5~= itZ≥⊂itzM_j5~=⊂iu~-_iu:= itZ= i4:- j5:=_j5:M itz- i4Z=_iu~M_itZM itz= j5~M_itzM j4z= j4z≥_i4z=⊂itz=_itZ- j5~M_itz=_i4z=⊂itz=⊂itz-_ht:≥⊂h4:≥⊂i4Z=⊂i4z-⊂i4Z≥⊂i4Z-⊂itz=_itz-λht:-⊂it:
λhtz-⊂i4z=⊂i4:-ht~
λh4Z≥⊂ht~
itZ-λht:≥h4Z-λitZ≥λi4z=⊂i4:= ht:-⊂i4z=⊂itz=_iu~M j4z=_itz≥λi4Z=_i4Z-_j4z=⊂j4z=⊂ht:-_i4z-_j4z-_itz-_itZ=⊂itz-⊂iu:M_i4z= j4z=_i4z=_j5~M i4Z] j4Z-_iu~=⊂itz] j4z= juZM_i5~M ju~] j5:M iu~] iu~] j5~M(k5Z] j5:m(itZ=_j4Z=⊂iu~-⊂itzM_itZ=_itz-⊂iu~]_itz=_itz-_it:= j5:]0k5~M j5~=⊂j5:]_i4zM j5~] ju:] ju:M0ju~](ju~](j5:M(j5~M(j5:]0juZ](ju[
0juZm8kuZ](ju:](juZ](ju:m(k5:]0juZ⎇(j5:](k5~]0juZm0j5Z]0k5Zm0ju:](juZm8k5:⎇0k5Zm0k5z⎇0ku{
Plv;≥Pes9\pg3Ylpfs9lhg3Y\pg3y|pg3Y|xg3ylhg4→lxh4~xgt→|xh4~xh4~xh4~
h4:xht~≥gt~
λgt:≥λh4:-⊂i4~-⊂it~≥λitz-λh4~≥λht:≥⊂i4z-λh4:≥λi4Z=_i4:-⊂htZ-λht:=_i4Z-⊂i4~≥⊂i4:-λhtz-_ht~-⊂i5~-⊂i4:-⊂i4Z≥⊂i4Z
λitz=⊂i4Z≥_ht~≥⊂i4z≥λhtZ-⊂itz-_ht:-_j5~=⊂htZ-_i4Z-⊂itz-⊂i4z- itZ-⊂i4:-λi4z≥⊂iu~=_itz-_itz=⊂iu~Mλi4Z= i4z=⊂iu~M itz= j4z= itz=_j5:=⊂itzM i4z=_j4zM⊂htZ=_itz= j4Z-_i5~= iu~=⊂itz-_itZ-_iu~= itzM itz-_iu~= i5~= i4Z=(j4z
_itzM_itzM itZ=⊂itz=⊂i4zM itzM j5~=⊂iu~M_iu~= jtz-_itz= iu~=_itz=_iu~M_iu~M_i4Z=_itZ-⊂itz=_ht:=⊂i4Z=⊂i4Z-λitZ-_it:-_ht:≥λi4:-_itz=⊂ht~≥⊂it~
λh4Z≥λht:≥_it:≥λhtZ
h4Z-⊂i4:≥λitZ-λi4:xh4:≥λi4Z-λitZM_itZ-_ht~-⊂i4z=_i4Z=⊂itZM_i4z= i4z-⊂htzM_itZ=_i4Z=_j4z-λht:= itzM⊂j4z- itZ=_j4zM_j5~=_j5~M iu~= j4z=_j5~= iu~M_j4ZM(j4Z=_itz=⊂i4zM(j5~- j5:-⊂j5~] j4zM j5~M_j5Z](j5~](ju:M0ju~](j5~]_itz=⊂itz=⊂itz-_i4zM_itzM itz=⊂i4zM_i4Z=⊂itz=_j4zM_ju~M iu~M ju~M⊂ju:]_j4z= iu~M j5:] j5:= ju~m(j5:](k5Z](ju~M ju~M(k5Z] j5:⎇0k5Zm0juZm ju:](juZM(k5~m0k5Z] k5Z⎇0k5Zm0k5Zm0k5:](k5Zm0juZm(ku:]0kuzm0k5Z](k5Zm0k5[
8kv≠
Hlv;≥Xf39lxg39LXg3YlpfsY|pgszxgsY|xg3Y|xg3:
g4~xgsylxgsy⎇h4→mλh4→|xht9|xh4:≥λgt:≥_htZ-λht:-h4:-λhtZ-λi4Z≥λh4:≥λht~
λi4:-⊂i4Z-⊂i4Z=⊂i4:≥⊂i4Z-λht:-λh4Z-⊂ht:=⊂it:≥λhtZ-_ht~≥⊂i4Z≥_itZ= htZ≥λi4~-⊂i4Z≥_i4:≥ itZ=_i4Z≥λi4Z-λhtz-⊂i4:-⊂iu~M_i4Z-_ht~-_itz-⊂i4Z=⊂i4:≥λitZ-_itZ=⊂i4z=⊂i4z=_i4Z-_i5~MλhtZ=(itz=⊂j4z=_itz-_iu~= itzM j5:M_iu~M it:-_i4Z=⊂i4z= itZM(j4Z≥λhtz= itz=⊂i4z-_itZ-⊂i4z=_itZM itz=_j5~=_i4Z=_i4z-_j5~-⊂iu~M⊂j5~M_itz-⊂itzM itzM j4Z= itz=⊂i5~M iu~=_j4z-_itZ=_itzM itz- j5~=_itZ-_i4ZM_j4z=⊂i4z=⊂ht:-_itz=_itZ=⊂i4Z=⊂it:≥⊂i4:≥⊂h4z-⊂itZ-⊂h3z
λit:≥h4:≥⊂htZ-⊂i49⎇λhtZ≥λhtZ-⊂h4:
i4z-λitZ-λht~≥λitZ≥λi4:=⊂i4:=⊂ht~=⊂i4z=⊂i4Z-⊂i4Z-_i4:-_i4Z=⊂h4Z=_itZ=⊂itzM⊂itz-λht:=_itz=_j4z-_itzM_j4z=_itz-_j5:]_iu~M_i4z=_iu~= iu~M j5~M j4z-_j5~=⊂i4zM iu~M j5:=⊂ju:M itzM(j4zM ju:M_j5~]0ju~](k5:]0iu~M_itz=_iu~=_j4z= itz=_i4Z=_i4Z=⊂j5~] itz=_itzM ju~=_itzM_j5~M_itz= ju~M j5:= j5~M(j5~](juZ=_itz] juZ] k5Z⎇(j5:=(k5ZM(k5Z] j5~m(ju:m(juZm(juZm(ju:]0jtz](k5:](k5Zm(k5Z⎇0k5Zm(k5Z⎇0k5Zm8kuz](k5:]0k5z]8k5z]0k5Zm0kuz⎇8kv≠
Hlv;-Pg3Y|xfs9\hg3Y\hf3→lhg3ylxgsY\pgsy|pfsz≥λgt~xgt9|xh3zxgt→lpgsz
h4Z
λh4:
λh4~≥⊂ht:≥λht~
λh4~≥htZ-λh4~≥λhtZ-⊂ht:≥⊂i4:-λhtZ=⊂i4:-⊂itZ-⊂it:-h4:≥λht:≥_j4Z≥_i4Z-λi4:≥⊂ht:-⊂i4Z≥⊂i4~-⊂htz-_i4:-_iu~≥⊂ht:-⊂i4z=_i4Z≥htZ-⊂i4Z=⊂i4z-⊂itZ=_itZ=_ht:-⊂i4:≥⊂htZM_i4Z-⊂i4Z-⊂i4Z=⊂i4z=⊂i4ZM_j4Z-⊂i4Z=⊂i4Z= j4z=_j5~-_i4Z=_iu~=(itZ= iu~M_i4Z=_itZ-⊂iu~M_itzM itZ=_itZ-⊂i5~= j4z-_i4Z-⊂itz=_ht:= i4zM_j5~=⊂iu:M_i4zM itzM_j5:-⊂itz=⊂i4zM_itz=_itZ=_i4z=_itzM itzM_hu~M i4Z-_j4Z=_itz-⊂i4z] i5~- iu~≥⊂iu~M_itz=_jtz=_i4Z-_i4Z=⊂htZ-_i4z-λhtZ≥itZ≥_i4:-λht:≥i4:-λh4~
⊂i4:≥λht:
⊂i4:
⊂i4:
⊂ht:-ht:
⊂h4:≥⊂htZ
λi4:≥i3z
λi4Z≥λit:-⊂i4z=_i4:=λhtZ-λi4z-⊂i4Z-⊂htZ≥λi4:-⊂i4zM_i4:=_i5~-⊂i4z-⊂i4zM_itZ=_j4z≥_i4Z= itzM_itz≥⊂iu~M_itz= j4zM j5:M j4z=_i4Z=_itzM_j5:=_itzM itzM ju:M juZM iu~M(jtzM j5:M_j5~] ju:](j5~M iu~M(jtzM(iu~-_itz≥⊂itZ=_i4z=_itz=_j5~M iu~= j4z= j5~-⊂i4zM_i4zM(itz] ju:] ju~M(jtz= ju:](j5Z] j4zM0ju~M(k5Z⎇ j5:M0k5ZM j5:M(ju~](k5Zm0k5Zm(ju:](k5:m8k5:]0k5:]0k5zm k5:](juZm0k5Z](j5Z]0ku:m0k5:m(juZ⎇0k5z]0k5~m0kv~⎇8k5z⎇Plv;≥Pfs9\hg39Lpg3Y|hfsY|hfsylpg3ylhg3y|pfszxh3z
g4→|xh4~
g3ylpgt~
λh4~
λgt:
λh4~
h3y⎇hsZ
h4~
λhtZ≥i4~≥λi4:-λh4:
ht:-⊂ht:=_i4:≥λitZ-λi4Z-λhtZ=⊂h4Z≥λi4Z
_i4Z-⊂i4:-⊂i4Z≥λi4Z-λi4:-⊂itz- it:≥⊂itz-λi4:=⊂htz-_i4:≥ht:
λi4:=_htZ=⊂j4Z-λi4Z= ht:-λi4z-⊂i4Z-_ht:≥λi4Z=⊂itz=⊂itz=λi4Z=⊂itZ-λi4Z=⊂j4Z= i4Z=_itz=⊂i5~=_j4z=_itZM_itzM_i4ZM it:≥_j5~Mλi5~M_itZ=⊂itz=⊂i5~M j4Z= itZ-_itz-⊂ht:≥_i4Z=⊂j5~=_i5~M(itz=_j4z=_iu:- i5~M_itz=⊂i4z=_itzM_j5~]_iu~=_j4z=_iu~=_i4z- j4z=_i4Z=⊂i4z=_i4Z= ju~-⊂i5~=⊂i4ZM_j5~=_itz-⊂htZ-⊂htZ-_itz-⊂i4z-λi4:-⊂i4:≥λhtZ≥λi4~-λh4:
λht:-λi4Z=⊂i4Z-⊂i4:
⊂i4:≥h4:≥λht:
_itz-λht→⎇ht~≥λit:≥λi4:≥⊂i4z-_itz=⊂i4:-λhtZ-λi4Z-_htZ-λi4Z=λi4z=⊂i4Z=_itz=⊂itZ=_i4Z=⊂i4:=⊂j5~=_htz=_itz-⊂i4Z-⊂itz=⊂itz=_j4zM j4zM iu~=_i4z]_j5~-_iu~=_itzM j5~M j5:M_itZ= iu~M(ju~M ju:] itzM iu:M(ju:](j5~] itZ- j4z-⊂iu~=_i4z=⊂htz- itz=_itz=⊂iu:-⊂j4Z-⊂iu~M_i5~-_iu~=(j5~M_iu~M ju~M0ju:= ju~M(juZ](j5~M0k5~M k5Zm(j5~M(j5:M juZM(k5:](ju~m0ju:m8k5Zm(k5:m0juZ]0juz](k5z⎇0k5:m0ju:m(juz](juZ]0k5Zm0k5:](k5Zm0juZ⎇0k5~m8k5z⎇8k5{
@l6;≥Pfs9lhf39Lhfs9\hfszhg3y|pgsylpg3y|pft~
ht→lxg3y|xgszxg4→|xh3z≥ht~
λgt:
⊂ht:≥λh4~
ht:
h4:≥⊂h4Z-i4~
gt~-⊂h4:≥λhtZ-⊂htz=⊂htZ≥_itZ≥λhtz-⊂itz-_i4:-λi4z≥⊂it:≥_i4Z≥⊂i4z-λhtZ-⊂htZ-_itz=⊂itZ≥i4z-⊂i4Z-⊂ht:≥λitZ≥⊂htZ
i4z=_ht:-_itz≥htZ-⊂i4Z-⊂itZ≥⊂itZ-⊂i4:-⊂itZ-λitz-⊂itZ=⊂i4Z=⊂itZ≥⊂htz-_it:M⊂i4Z-_iu~M_i5~=(j4Z=⊂i4Z=⊂iu~M_j4z-_i4Z- ju~=⊂hu~](j4z=_i4z-λi4Z- i4:= itZ-_itz-⊂i4Z-_i4zM_j5~=_itzM_itZ-_itZ= j5:M j5~= itz=_j4z=_iu~M j4zM_itz-⊂itZ=_hu~=_it:-_it:-⊂i4Z]_hu~] j4z= j4z=⊂htZ-⊂i4zM_i4Z= i4z=⊂ht:-λhtZ≥⊂j4z-⊂i4Z-λitZ-⊂h4:-λhtZ≤xh4:≥λh4Z
λht:-λi4:=ht~≥_i4~
⊂i4:
ht:≥⊂ht~≥⊂i4:-htY⎇λi4:≥λht:
λh4:-λi4Z-⊂i4Z-⊂i4Z≥λht:-⊂i4:- itZ≥⊂htZ
λi4:-_htZ=_i4z-_i4z-λh4Z-⊂i4:= j5~M⊂itZ=⊂i4z-⊂i4~-⊂i5~-λi4Z-⊂i4zM itZ= j5~=⊂j4z=_itZ-⊂i5~=⊂j5~](j4zM j5~M_itz=_j5~= ju~] ju~M_itz=_j5~M(k5:] ju:M itZ= itZM⊂htz=_itz-⊂h4~- i4z=_itZ=_iu~=_i4:≥⊂ju~M_j4zM_itz=_itz=_i5~M ju:M(j5:= ju:M(ju:](ju:M(j5~M_ju:m0ju~M(ju:M0ju:= ju:](j5:]0kuZ⎇8k5:] j5:]0ju:]0juz](k5Zm0k5:m0ju:](k5zm0k5:m0juZM(k5:]0k5Zm8ku:⎇8ku:m(kuz⎇8ku{
Hl6;-Xfs9\hfs→lhfs9lhgsylpgsY|pgsylpg3Y|hg4~≥h4→⎇g3y|hg3zxg3Y⎇gsz≥ht:-⊂h4~≥λht→⎇λhsz≥λhtZ
λh3Z
λh4:≥λht:
λi4Z-_i4:≥⊂itZ-⊂ht:-⊂i4:-_i4z-_i4:-⊂i4zM⊂i4Z≥⊂i4Z≥⊂i4Z-⊂itZ≥⊂itZ-_i4Z≥⊂i4:
⊂i4Z=⊂ht9⎇i4z-λhtZ-⊂ht:
⊂i4:-⊂i4Z-_i4z=_i4~≥_itz-λitZ-λhtZ-λi4:
⊂it:≥λi4Z≥⊂it~≥λitZ-htZ=⊂i4Z=⊂i4:-λh4ZM itZ-_i4Z- itz=⊂i5~= itz=_itz-_ju~M_iu~=⊂itz=_jtzM i4Z=_itz= itz=λi4Z=_i4Z-λitZ=⊂itZ-_j4z= htZ=⊂itz=λiu~=_itz=_i4z= j5:-⊂iu~= j4z-_j4z-_iu~=_itZ= it~-⊂i4z-⊂i4Z=⊂i4Z=_j4z=⊂itzM_i4z-_iu~M_iu~-⊂i4Z=⊂ht:=⊂i4Z-⊂itz= htz-⊂i4z-⊂itZ≥λi4z=⊂itz≥_htZ-λh4:≥htZ-⊂ht~
λhtZ≥⊂hsz-λht~
⊂i4~
λi3z
ht:≥λhtZ-λi4:-htz≥λht~
⊂i4~
λht:≥⊂i4:-λitZ≥⊂i4:≥_ht:-⊂itZ-_i4z-⊂i4Z≥λi4Z-⊂ht:≥_itz-λi4Z=⊂ht:-_htZ-_j5~=_i4zM_i4z= itz=_iu~=λitZ=_iu~M j4z-_itz=_i4:M j4z≥_itz]_j5~] j4z= ju:=_itz=⊂iu~- j4zM j5~M_iu~M iu~=_j5~] ju~=(jtZ=⊂itZ-λi4z=_i4z-_i4Z- itZ-⊂i4z= j5~=_j4z-_j5~=_j4zM_itz=_j5~M i5~M⊂iu~](i4z=0ju:m(j5~](jtzM(ju:M juZm j5~] jtzM(ju:M_ju:]0j5:](ju~m j5Zm(ju:]0k5~m0juz](k5z](ju~m0ju~](k5zm(k5:]0k5:M ju:]0k5Zm0ku:m8k5:]0k5z⎇@k5{
@l6;-Xfs9Lxfs→\`fsY\xg3ylhgsYlpg3Y|hg3Y|xgt~
λh3y|xgsy|pgt→|pgsy⎇λgsZxhtZ
λh4~
i4~
λht:
gt9⎇i4:
⊂h4Z≥ht~≥i4Z=⊂ht:-⊂itZ≥λi4:-λi4Z≥λh4Z≥_i4Z-λhtZ=_htZ≥_itz≥_itz=⊂itZ≥⊂i4:≥λitZ≥_i4Z≥⊂htZ-⊂htZ≥λht:-⊂i4Z=⊂htZ-λi4Z-λi4:-⊂htz=_itz-⊂i4Z-λi4Z-_htZ≥⊂itZ≥_i4Z≥λht:≥λi4:-⊂i4z=_ht:-_i4z=⊂ht:-⊂htzM i4z=_itZ-_j4zM⊂i4z- i4z-_itZ-_j5:M⊂itz=_iu~-⊂j4ZM itz=_i4Z= ju~-λi4Z=_htz-⊂i4:= j4z=⊂i5~= iu~M j4ZM_iu~=⊂i4z=_iu~= iu:=⊂iu~M j4z=_itZ-_iu:M_i4Z-⊂it:≥⊂itZ-⊂iu~=_itz=_j4z-_itz-⊂itzM iu~=_ju~-i4:=⊂i4z=_itz- itz=_ht:-λitZ-_itZ-⊂i4Z-⊂i4:-⊂i4:-gtZ≥h4Z
λh4:≥λht:
⊂i4:=λht~
λh4~
i4~ph4~
λht:-λi4:≥ht:-h4Z-λi4~
λi4:≥⊂htZ-⊂i4:≥⊂ht:≥⊂i4:-⊂i4Z=⊂i4z-_itz≥i4:-_htZ-_itz-λi4z=_ht:-λi4:≥⊂j5~M_i4zM⊂i4Z=_itZ-_j5~=⊂j4zM⊂iu~M_j4z-_i4z=⊂i4:M itz≥⊂j5~M⊂j5~](jtz= ju~-⊂itzM⊂iu~= j5~M iu~M⊂iu~M_j5~M j5~](ju:M(j4z=_itz- itz= i4Z-_i4z-⊂i4Z-⊂i4zM⊂j5~=⊂itZ=_iu~- j5~M(j5~M_j5~M_j5~M_j5~=_itz=(ju:m(j5:m(j5~]0ju:M ju:]_j5:m(k4z= j5:]_ju:m0j5:]0ju~]0juZm(juZ]0j5~](juZ](juZ](j5~m0k5:]0juZm0kuZ]0ju~M(ju~M k5zm0k5Z⎇0ku:m0juZm0ju{≥Hlv≠-`fs9\pf39lhg39<pg3Ylhfsylxgs9|hgsy|pg3z
gsy|xgsy|ph4~xh3y|xgsz
λhtZ≥λht~≥λht~
ht:≥λht→|xht→mh4~
i4:≥h4:-⊂i4~≥λi4:-λhtZ-λi4Z-⊂i4Z≥⊂ht:
⊂htZ=⊂htZ-⊂j4Z- j5~-⊂ht:≥⊂i4:≥⊂itz-⊂it~
⊂h4:-⊂ht:-λi4Z≥⊂i4Z-λi4Z-λitZ≥λi4:≥λi4Z-⊂itZ≥λi4z-⊂htZ=_i4z-⊂itz-⊂i4z-_ht~-⊂itZ
i4Z-_htzM itz-_itZ≥⊂htz=(i4z-⊂i4z-_j4z=⊂htZ=_iu~= iu~- j5:=_i4Z-_itzM(juZ= j5~M htZ= j5~-⊂i4Z=λhtz-_i4Z= i4z=⊂htZ=_j4z=_j4Z=_i5~=_iu~=_i4Z≥_iu:=λitzM_j4z=_itz=_iu~=_i4z=_i4:-_itz-⊂itz-⊂i4ZM_jtz=_i4Z≥⊂itz=_i4z=⊂itz≥itZ-λi4Z-_i4Z=_i4Z=⊂i4z=_itZ=⊂htZ≥λhtZ-λi4Z=_it:≥i4z≥λhtZ-λht:
λht~
λht:≤xh4:
λht:
λi4~pgt:≥h4~≥⊂ht:
i4:≥h4:≥λh4~
λi4Z≥λh4z-⊂ht~
⊂ht:≥⊂itZ-⊂htz=⊂i4:=_i4z≥⊂i4Z= itZ-_it:-λitz-⊂ht:=⊂htz-⊂i4z-_htzM⊂i4:= i4:≥⊂itZ=⊂itz=⊂iu~=_iu~-_iu~=_itZ= itz-⊂j5~]⊂iu~] j4z- j5~=_iu~=_itz=(ju~= ju~M itz](j5~]_j5~M j5~] itz= itZ
⊂itz-_it:=_itz=⊂itZ≥⊂i5~=⊂itz=_j4z=_j5~= itz= jtz] ju:M j5~M j4z= j4z=(ju:M j5:m iu:M ju:] juZm0j5~] jtzM(j5~M j5:]0ju:m0k5~M(ju:] j5:m(j5~M0k5:M ju:]0ju:m0juZ](k5Z](k5~](k5:] k5:M0juZ⎇0ju~m(k5:m(k5z⎇8ku{≥Hl6;-Pf39lhfsYlpg3yLpfs9lhg39|xgsYlxgsy|xg3y|pg4~xg39lpgt~pg3zxh4~
⊂i4~
λh4Z
λht~≥ht~
h4~xh4→⎇htZ≥⊂i4z
h4Z≥⊂it:-λht:=λhtZ-λhtZ≥⊂i4z
i4Z-_htz-⊂htz-⊂i4:- iu~-λi4Z=⊂h4~≥λhtZ-_itZ≥λht:-λh4~
λhtZ≥⊂i4Z=⊂i4Z-λj4Z
λht~-⊂i4Z-⊂itz-⊂itZ≥htZ-_htZ-⊂itZ≥λi4Z-λhtZ≥⊂itZ≥i4z-⊂h4:≥_itz-_i4:-⊂i4Z=⊂i4z-λi4z-_i4z-λitz=⊂itzM itz-λi5~=⊂j4z= j4z=(ju~=_iu:M itZ- j4Z≥_i4:-λi4Z=_i4zM itz-⊂i4z= i4z-_itZ- i5~M⊂i4Z=_i4z-_itz-⊂iu~=⊂itz=_j4z= j4z=_i5~- i4Z-⊂itz=_i5~=⊂it:M j4ZM⊂i4Z=_i4zM_i4z-⊂i4z=⊂i4Z=⊂i4:= i4:-⊂i4z-ht:-⊂i4:=_i4Z-⊂i4Z=λi4Z-⊂i4:≥itZ≥λht:-λht~≥λht~
i4~≥h4:
h4:≥ht9⎇gtZ≥gt~
⊂h4:xh4:-λht~≥ht9⎇λhtZ-λhtZ=⊂ht:-⊂i4Z-_itZ-⊂gtz=_i4Z=_i4Z-⊂htz=_i4Z≥_i4Z=λj5~-⊂ht:-_ht:-⊂i4Z=λhtZM⊂gtZ-_it:≥⊂i4Z=_j5~-_itz-⊂itz-⊂itz= j4z= j4z-⊂iu~= iu~] itZ= j5~Mλi4z=λitzM(j5~= j5:] i4z] j4zM ju:M_j5~= i4z= j4z≥⊂i5~-⊂i4Z=_ht:-⊂i4z=⊂itz=_i4Z=_itz-_iu~M_j5:= itzM(ju~= iu~=_itzM j4z=(ju:M_j5~M iu~M(ju:] k5:M(j5~M jtzM(ju:M(j5:m(j5Z]0ju:](ju:](j5~]0ju~M(juZM(ju:](k5:m0ju:m(juZm(juZ]0ju:M ju:M(juZm0j5:m0k5Zm0kv~⎇8k6≠≥Hl6;-Pf2yLhg3Ylpg39\`f39l`g3Y\pfs→lxgsylpg3ylxgsy|xg3y]h3zpgszxgt:≥hsy⎇λh4:
λht:≥ht:≥h4:
ht:
ht:≥λht9⎇h4:-⊂ht:-⊂i4Z-λi4:-λh4Z-⊂htz≥htz-⊂htz-htZ-λi4:=_i4Z=⊂itZ-⊂ht~≥λi4Z-λi4z=λht:-λhtZ-⊂i4Z=_i4:-λi4~
⊂i4z
ht:-⊂i4:≥λitZ=⊂itZ≥λht:- i4Z-_itZ-λht:≥⊂ht:-_it:-λi4z≥h4:≥⊂itZ=_i4:≥i4:-⊂i4:-⊂itZ-λi4z-⊂i4z=_i4z= j5~=⊂itz=⊂i4Z= j4ZM ju~= iu~M(i4Z-_itz≥⊂it:-⊂i4Z=⊂i4Z-⊂i4Z-λh4zM_iu~=_i4ZM⊂i4zMλitzM_iu~-_j4z-_j4z=_itz-_j4z=⊂itz=⊂i4z-⊂i4Z-⊂j5~-⊂itZ=⊂itZM it:=_itz=λhtZ-_itz=⊂itz=⊂i4zM⊂i4:=_i4Z-_itz=⊂ht:-_i4Z-⊂i4Z-⊂i4:-λi4Z-⊂i4~
λht:≥λht:≥λhtZ≥λi4~
ht~
h4:
λht:≥λh49|pg4:
λgt~
ht~≥htZ-λh4~
htZ-⊂ht:-λhtZ=λh4:-i4~-λi4Z=⊂h4z-⊂i4Z
λht:-⊂i4z]_i5~=⊂itZ=λitz=⊂htZ-⊂i4z-⊂i4:≥gt~-⊂i4:-_itz≥⊂i5~=_itz-⊂i4z-⊂itz-⊂itz=_i4Z=_ju~M⊂iu~M i5~M i4Z-_itzM⊂iu~=⊂i4Z-_itz=_iu:] i4zm j5~M j5:M j4z= j4zM it:≥_i4Z≥λht:-⊂htz-⊂i4z-_i4zM⊂i4Z- j4z=_itz-⊂i5~=_i4ZM j5~= ju:=_j4z] j5:M ju:] j5~= j5~M j5:M_ju~M ju:m(jtZ- ju:](ju:m0juZ]8k5Z] j5~M j5~m0k5~](ju:](j5ZM(ju:m0k5:m0ju:](j5Z]0j5~](ju:m(ju:]0ju:]0k5Zm0k5z⎇8ku{
Pl6;-Xes→\`f39lpgs9L`f3Ylhg39lhfs9lxg3Ylpgsz
gt→⎇gsYmgsy|xg3y|xgt~
λht:xgt~xh4:≥ht:
ht:≥h4Z≥λht~
λi4:≥λht~≥λht~≥λi4:-λi4z-⊂i4z≥λhtZ≥i4z=⊂htz-⊂i4:≥λh4~-λi4Z-_j4Z=⊂i4Z
λi4Z≥i4z=λhtZ-λi4Z-_i4Z=h4~
⊂i3z≥⊂i5~≥λi4~-λi4:≥⊂i4Z=_itz=⊂htZ-_i4:≥⊂itZ-⊂i4Z≥_htZ-λitZ-_it:≥λh4:-⊂i4Z=⊂i4:
λitZ-⊂itZ=⊂itz-_i4z=_i5~= i4Z= j4z=⊂itz=⊂itz- j5~=_itz=_i4zM i4Z=_j5~-_itz-⊂htz-⊂itz-⊂i4z-λi4Z-_itz≥λi4Z-_j5~-λi4z=_itz-_itZ- j5~] itzM itZ=⊂itz-⊂i5~M_i4Z-⊂jtz=⊂itZ=⊂itz= it~-⊂itz=λi4zM_itz=⊂itz=⊂htZ=⊂i4:= itzM_j4z-⊂i4Z≥_i4Z-⊂i4Z-⊂ht:≥⊂htZ-λht~
i4:≥⊂ht:-λi4:
ht~
i4~-λgt:
⊂ht:
ht→⎇h4:≥⊂ht:
λht9|xh4:-λh3z
λhtZ≥⊂ht~
i4:≥h4~≥λht:≥λh4~-htZ-⊂i4~
⊂i4:
λhtZ=_htZ=⊂itZ=⊂i4:=⊂i4Z=⊂i4Z-_i4Z≥⊂itZ= i4~-λhtZ≥_iu~=⊂itz=_itZ-_i4Z-⊂i5~=_i4Z=_itz=⊂iu~M_itz= itz=_j5~=_itz=i4z- iu~= j5~=_itzM j5:] ju:M(itz]⊂j4Z=_i4Z-⊂itZ=λi4Z
λi4Z≥⊂i4Z≥⊂itz=λhtZ=_j4z=_itZ-⊂itz=_i4zM iu~=_j5~M_iu~](j5~](ju:] j5~=(j5~M ju:= k5:= j5:m(j5~= ju:](k5Zm(ju:](ju~](j5~M(ju~](j5~](juZ](juZm(k5Zm(k5:]0juZ](ju:m0j5:](k5Z](j5~m(j4zm0juz](kuz⎇0k6≠
Plv;-Xes→\hf39\pg39\hg39\pfs9\pfsYlpgsy|hg3Zxg3y|xgsY\xgt~xgsz
h3z
h4~
h4:≥htZ≥ht9⎇ht~-λh4~≥λht:≥⊂ht:
⊂i4~-ht:-_i4:≤xh4Z≥λitZ-⊂ht:-λi4z-_i4z=⊂ht:≥λhtZ-λiu~-⊂itZ=⊂htY⎇⊂i4z=⊂itz=_ht:
⊂ht~-λitZ=λh4:-⊂ht~≥⊂htz≥⊂itZ=λht:-_itz- itz=_i4z=⊂i4~-⊂i4~≥⊂i4:≥_i4Z=⊂itz-_i4:≥λg4~-_itz-_it:-λi4Z-⊂itz-_i4Z-⊂i5~-⊂i4z-_htZ=_j4z=⊂j5~M itZ=_i4z=⊂it:-_i4zM_itz-⊂j5~-_i4ZMλitz=⊂i4Z-⊂it:-ht:-_it:-λitz=_j5~=_i4ZM_itz=_itZ-_i4zM_i4Z=_j4z=⊂itZ=_i4z= itz-_j4Z=⊂itz= i4z=_itZ≥⊂i4z-_itzM_it:-_i5~-⊂i4Z-⊂i4Z= j4Z-λitz-⊂htZ-⊂i4Z-⊂it:≥λht:≥λh4Z-⊂ht:≥i4:
λh4~≥λht:≥λi4:
i4:≥λh4:≥⊂i4~
ht:≥λht~≥λh4:≥h4→⎇h4:≥λgt→|xh4:≥h4~
i4Z-λh4:
ht~-λh4:-i4:-_i4Z≥_i4Z≥λhtz-_i4Z=_i4Z=⊂i4Z-λhtZ-⊂i4z=⊂i4Z≥i4Z-_i4Z≥λitz-_iu~-⊂itZ-⊂i4:-⊂itzM_iu~M_itZ-_itz=⊂j5~=_i4zM j5~-_j5~M_iu~Mλi4z=_itz= j5:M j4z= j5~M j5:M(j4Z]_i4Z=_itZ-⊂itz-⊂htZ-_i4zM⊂itz-⊂itz=λi4Z=_itz=_i4:M i4z=_j5~M j5~M_j5:M i5~M(j4zM ju:M iu~](j5~M j5~-_ju:= ju:m(ju~M j5~M j5Zm ju:m(k5~]0k5:= j4zM(j5:m(juZ](juZm(ju~] j5~]8juZm0k5Z]0ju~](k5Z](k5:⎇(j5:m0k5Zm(kuz⎇8l6≠
Hlv;≥HfsYlhg3yLhfs→\XfryLhg3Ylhgs9\xh4~
gsy|xgsy|pg3Ylxgt~pgsY⎇h3z
h4~
λht:≥h4~≥h4Z≥h4~-⊂h4~-λh4:≥⊂ht:≥λi4:-⊂htZ≥⊂it~≥λht:-λh4~-⊂h4:-λhtZ≥⊂it:M ht:=λi4Z-⊂i5~-λi4Z-⊂it:≥_i4Z≥λhtZ=⊂ht~-⊂ht:≥λitZ-⊂h4Z-_i4~≥⊂itZ≥⊂i4z-⊂ht:-_it:-_iu~=_htz=⊂ht~-⊂itz-_itZ-⊂i4Z=⊂i4:≥λhtZ-ht:-⊂itZ≥⊂i4:≥⊂i4:=_j4z=_j4Z-⊂iu~-⊂i4z=_i4ZM j4Z-⊂iu~M_itZ=_iu~M⊂itzM_j4zM⊂i4Z-_itz=_itzMλh4Z-λht:
⊂itZ-⊂i4z-⊂i4z-_itz=_j4z=⊂itZ= i4Z=⊂itz=⊂iu~=_i4z=_jtz=_itzM_i4z=_itZ=_itz-_i4ZM_i4Z=_itz-⊂itZ-⊂itZ=⊂itZ-_itZ≥λi4Z-_i4z=⊂i4:-htZ-_htZ-λi4z≥_i4:-⊂i4:-⊂i4:
λh4:≥ht~≥gt:≥⊂h4~≥⊂i4:≥ht:≥λi4:
⊂h3z
λh4:xgt~≥h4Z-h4:
ht~
gt~xg4~≥λi4Zxh4:≥⊂h4~-⊂i4:-⊂ht:-⊂i4:≥⊂ht:≥⊂itZ-λi4Z≥⊂i4Z-_htZ-λi4Z=λhtZ≥⊂i4Z≥⊂htZ-λhtZ=_itZ=_j4z=⊂itz≥_itz=⊂i4:≥_itzM_j5~M itZ-⊂itzM⊂itz-_i4Z- j5~M itz=_j5~=⊂itz= itZ=⊂j5:=_itzM itz- j5~M_itz] itZ-_i4:-⊂j4z-⊂i4z=⊂i4Z-⊂i4Z-⊂itz=λi5~=_itZ=_i4Z-⊂i5~M_j5~M j5~M_ju~=_itzM(j5~= j5Z]_j4zM(j5~M(ju:] j5:M ju~] j5~M(juZ](ju~m(j5:]0k5~]0ju:M(j5:M0ju:](ku:](j5Zm(ju~M0ju~]0juz](ju:]0k5:](juZ](ju:](ju:]0k5Zm(k5{
8l5{≥@lv;≥Xg3Y\pg3Ylpfs9LPfs9\xf3→lhg3y|xgt~xgs9|xg4→|xg3Y|pgt~xgsY⎇h4→|xgt~≥λh4:-ht~≥λht→⎇h4:-⊂ht:≥h4:≥⊂i4Z-⊂h4:≥ht:≥λhtZ-⊂i4z-λht:≥⊂htZ≥_i4Z≥⊂itZ- h4Z-⊂i4Z=_i4z-λi4Z≥ht:≥⊂i4Z-λi4:-_h4:≥_i4:≥i4Z-λht~-_i4Z-⊂itz
λh4:≥λht:-_itZ=⊂itz-λhtZ-_i4:≥_itz-⊂i4:-⊂ht:
⊂i4:≥λh4Z≥⊂h4:-⊂itZ≥htZ
λhtz-_i4zM_i4z-⊂i4z=_itz-_i4z= j4z≥λi4z=_i4Z=_itz]_j5~=_i4zM itZ=_itz=⊂itz=⊂htZ≥_it:≥λi4z≥⊂i4Z-_i4Z=_i4z=⊂j4z≥_i4zM_i4Z=⊂itz= iu~=_i4Z=_it:=λiu~M⊂itz=⊂j4z= j5~=_itZM_i4zM_itz=_itz-_itzM_i4Z=⊂itZ≥λitZ≥⊂ht:-_itZ=⊂i4:-⊂i4:-⊂ht:=_itZ-_h4Z≥⊂ht~≥i4~≥i4:≥λh4:≥λh3z
ht:
htZ≥ht:≥⊂h4~
λht9|xh4:≥h3y⎇h4Y|xh4~≥ht~-λh4:≥λht:≥gt~-⊂ht~-⊂ht:≥htZ
λht:-_itZ≥⊂i4Z=λhtZ-⊂i4Z-⊂i4:-λi4Z=⊂i4:
λi4:-λht:-λhtZ=⊂itZ=⊂j4Z-⊂i4Z-⊂i4z=_itZ-_j5~M⊂itz=_j4z=⊂itZ-⊂j4z=⊂i4z- j5~=_itz-⊂j4Z] itz= itzM iu~M_i4zM_i5~= j5~] j5~] i4Z-_itZ=⊂itz-_itZ-_h4Z≥⊂itZ-⊂itz=⊂i4Z]_itZ=_itz-⊂iu~=_j5~=_iu~=_j4zM_itzM(j4z= ju:M_j5:] itz=(ju:M(j5:] ju~m(ju~](kuZ](j5~M(ju:](ju:M j5:M iu~](ju~] juZm(juZ⎇(ju~]0ju:m ju:M(juZm0ju~](k5:m0ju:]0j5~m0kuZ]0k5Z⎇8ku[
Hlv;-Xg39Lhg3YLhfs9\pfs9lxg39|pg4→lxh3y|pg3Y⎇g3Z
g3ylpg3y|pg3Z
h3ylxgt~
gt~≥_ht:≥λh49⎇λht~
h4~
h4:≥⊂i4Z-λhtz-λh4Z≥λht:-htZ=λi4:≥_i4Z-_it:≥λi4Z-_htZ≥λi4Z-λi4Z-λi4Z≥λht~-_itZ=λi4Z-⊂ht:=⊂itZ≥λi4Z-⊂ht:-⊂h4~≥_htZ=_ht~≥λhtZ=⊂i4z=λhtZ-λhtZ-_i4:-_i4:≥⊂htZ-λht:
λh4:-⊂h4Z≥λhtZ-λhtZ-⊂ht:-λi4z=_htZ≥λit:-λi4Z-⊂j5~= i4Z-⊂itz-⊂htZ=⊂itZ= i4z=_itz=⊂iu~M j4z= itz-_j4Z-_itZ-⊂i4Z-_i4z-⊂ht:-⊂i4:=_i4z=λitz-_htZ=_i4Z=_itz- iu~M⊂itZ-⊂itZM⊂i4zM⊂itz-λi4Z-_itz-_j4z=_i4z=_j4Z= i4z≥⊂i4z]_itz=_i4z≥i4Z-⊂i4Z= itZ=⊂itZ-λi4Z=⊂i4Z-⊂i4:≥λh4:≥λh4~≥λi4~≥λht:-λh4~≥λgsz
ht~
h4:-h4:-λgt:≥λi4:≥gt:
hsy⎇λht→|ph4:≥gt~
λh3z≥λht:≥h4:≥⊂ht~≥⊂i4:-ht:
λht:-_it:≥⊂ht:=⊂i4Z-⊂i4Z≥λit:≥⊂itz-λht~
λht:≥_i4Z-⊂i4Z-⊂h4Z-⊂j4Z-⊂itZ=⊂itz-⊂i4Z-_iu~=_iu~-_itZ=_itZ=_iu~=λitzM j4z= j4z-⊂ht:=_itz] j5~M j4z=_itzM_i5~= j5~]_jtzM i4Z-_i4Z-⊂itz-_i4Z-_ht:=_itZ-λhtz-⊂i4z=_itZM_itz= iu~M_itZ=_j4Z-_j5:M_j4ZM(j4Z-⊂iu~]_j5:m(itzM(ju~M j5:](k5:](k5~]0k5Z] j5~] ju:] k5ZM j5:= j5~M(j5~](ju:] k5~]0j5:m(ju:] ju:](ju:](j5~M0k5:](ju:m0ju:m0k5Zm0kuZ⎇0k5{≥Hm6;≥XfsY\`fs9\`fs→\`g39|xg39lxfsY⎇h4→|pgsYmgsZxgsy|hg4→|pgsz
h3ymh4~xgt:≥⊂ht~
λht:≤xh4→|xht:-λhtZ-⊂i4:
λhtZ
λgt:
⊂ht~-ht:-⊂h4:-⊂i4~≥_it:-λhtZ≥λh4:≥⊂ht~≥i5~-⊂i4z≥⊂ht:-⊂i4Z-⊂htZ≥ht:-λi4:≥λh4Z≥λi4z-⊂ht~
_htZ-_i4Z≥λi4Z-λi4z=λhtz=i4z=⊂i4Z-⊂itZ-⊂i4:-⊂i4:≥λht:-⊂h4~≥⊂htz=λhtZ≥⊂i4Z=_i4z-⊂itz-⊂i4:≥λi4z≥_i4ZM_i4z=⊂itz-⊂iu~=_i4zM_j5~=_i4z=⊂iu:M i4z= i4z=_j4Z-⊂htZ-⊂i4:-⊂i4:-⊂i4Z=_i4Z-_itz-λi4Z≥⊂ht:-⊂htz≥⊂itzM itz=_i4z=_i4z=⊂i4z=⊂itZ-⊂itz-_i4z-⊂iu~=_itz=_itz=⊂itZ-⊂i4Z=_itZ-⊂i4z-it:-_itZ=_itZ=_i4z=λhtZ-⊂i4:≥λht~-ht:≥h4~≥λi4:≥⊂ht:
λht:≥h4→⎇h3z
h4~≥λh4~≥h3z
λht~≥λgt~
h3z≥λht~xh4~≥gt~
g3z
λh4~≥ht:≥⊂ht:
λht:
gt:≥ht:-⊂i4Z≥⊂it:-⊂htZ-⊂i4Z-⊂i4:-⊂itZ-ht:≥⊂i4:≥_i4Z≥⊂htZ≥λh4:≥⊂itZ≥⊂itZ-⊂i4z-⊂i4Z-_j5~=_j4z-_i4ZM_i4:-⊂j5~=_iu~=⊂itZ-_itz-⊂i4Z= itz=_j5~]_itz-_itz=⊂i4z= j5~=_ju~M_itz≥⊂i4Z-⊂htz-⊂i4Z-⊂htZ=⊂i4Z≥i4Z-λi4~-_itZ=_itzM_j4z=_itzM_itZ=(ju~=⊂j4Z=0iu~M itzM ju~] j4z= ju~= ju~M j5:M0k5:m0ju:M ju:](j5:](ju:] ju~M(j5~=(ju~M iu:=(ju~M j5:](ju:]0k5Zm(ju:m(j5:M(ju:] ju:]8k5Zm8k5Z⎇0k5Zm@l6[≥Plv;=Xfs9|`f3→\hg39lhfsY|xg3Y\hg3Y⎇h4→|xgsymgt→mg3y|xgsz≥gt~
gt→⎇i4~
λh4:-λgt~
λht:
h4Z≥ht:-⊂i4~≥⊂i4~
i4Z≥λhtZ
⊂i4Z=⊂i4z
⊂h4Z-⊂i4:-_i4Z-⊂htZ≤ph4:
_i4:-itzM⊂i4Z-λitZ≥⊂h4Z≥λi4:-λh4~-⊂h4:≥λh4~-λhtZ-_i4~-λh4Z≥i4Z-λi4~-λhtZ-λi4Z-gtZ=_i4:-⊂itZ≥⊂i4:=⊂ht~≥λi4Z-_i4~-λh4z-_i4~≥⊂itZ=⊂i4z=⊂i4z-_i4Z≥⊂itZ-⊂i4z=_j4zM⊂i4z=_j5~= j4z= itz- itz= iu~M⊂i4Z=_itz-_itz=⊂i4Z=_i4Z-⊂itZ-λhtz-_htZ-_itz-⊂itZ=⊂i4Z=_itZ≥_i4z=_itZ=_i4z= j4z-_iu~-_itz-⊂itz≥_itz=_j5~=_i4:-λitz-⊂itz-⊂htz= it:-⊂i4Z-⊂i4z-⊂i4zM_itZ-⊂i4z-⊂htZ=⊂ht:
λht:-λht~≥λh4:
λht:≥λi4~
h4:≤xh4:
h4~xh4~≥ht:
g3y⎇h4:≥λgt~≥gsz
λht:≤xh4~-h4:
h4~
λht~
λh4:-λht→⎇i4~≥λht~≥λht:-⊂i4Z≥λi4:≥⊂htz-⊂i4Z-⊂i4:-⊂itZ≥htZ≥⊂ht:-⊂itZ≥λi4z-λht:-⊂i4Z-_i4Z-⊂i4Z-λht:-_j4z=⊂itz-_i4ZM_itz= j5:M_j4z=λitZ-⊂itz-⊂itz-_iu~= itzM_j5~=_itzM_iu~M_j4z=(ju:M i4Z≥i4:≥⊂i4Z=λitz≥htZ=⊂i4Z-λi4Z=_i4:-⊂itZ-_htZ=⊂j4Z-_iu~=_itz-_j5~= itzM0j4zM(j5~M_j5:M iu~M iu~M_j5~](iuZm0k5:](ju~M juZm(j5:M(ju:M j5:](ju:M ju~M(ju:](j5~M(ju:](ju:]0k5Z]0k5:m0k5~M(k5:=(ju:m0k5Z⎇8juZ](k5Z⎇8l6≠≥Plv≠-Xf39|`f39\hfsY\`fsy|pfsYlpgt→|ph4→|xh3y|xg3y⎇h3Y|pgsz
gsz≥gsy⎇ht~
λh4:-λgsz
λht~
λht:≥ht:≥⊂i4~
h4:
λht:-htz
it:-itZ
⊂htZ≥⊂htZ- i4Z-λht:≥λht:≥_it:-λi4:=⊂i4Z=_i4:-_ht~
⊂ht~≥λht:-⊂itZ-λh4:-λi4Z-⊂i4:≥⊂ht:≥λhtz=⊂hsz
⊂it:≥⊂i4:≥λh4:-_ht:≥⊂itZ≥λi4z-_i4:≥⊂i4Z-_ht:-λht:=_i4Z-⊂htZ-⊂itZ-⊂htZ-_i4Z= i4:≥⊂htZ=_j4zM itz-_j5~M_j4zM_itz-_j4z=_iu~= i4Z=⊂i4Z-⊂itz=⊂i4Z=⊂htZ-λitz-λhtz=_i4~≥_i4:≥⊂i4z-⊂ht:-_itZ=⊂itZ-_i4z=_itz= j4Z≥λi4z=_i4Z=_itZ=_i4z- j5~=⊂i4:≥⊂i4Z-⊂itz-⊂i4z-_i4Z-_htz-_i4Z≥λhtz=⊂itZ-⊂i4z=_ht:-⊂ht:≥λi4:≥htZ≥⊂ht:
ht:
λh4~
λht:xht9⎇h4→lpht:
ht:-gsy|xht:≥h4~
g3z
gt9|xh4~
λht~xgt:
⊂h4:≥λh4:
λht→⎇htZ-⊂ht~
λht:≥⊂ht~
λi4Z-⊂htZ-λht:≥⊂i4:
λhtZ-λhtZ=λi4Z-i4z≥λi4:≥⊂htZ-⊂itz-_itZ-⊂htZ-_ht:-_i4z=⊂htZ=_ht:=_itz-_iu~M_j4z=_j4Z=_jtz= iu~=_itZ= i4z=_j5:M iu~M j4z=_iu~=(jtzM_itz-_i4:≥⊂i4Z=htZ-⊂i4Z-⊂htZ-⊂itZ=⊂i4Z=_itZ-⊂htZ=λitZ=_i4z=⊂iu~-⊂i5~= ju~M ju~M j5~M_ju~](j5~=_itzM j5Z](j5~]0k5~=0j5~M(ju:m0j5:M ju:M_j4zm(k5:M(ju~M(ju:m(ju:] juZ]0ju:m0k5z](ju:](k5:m0ku:]_ju:m0k5:⎇8ku:M0kv~m0k5{≥Hlv;≥XfsYlpes→lpfs9\hfsylpg3Y|hg3y|ph4→|xgt~≥λgsz
λh4→lph3z
λgsYlpfsz
ht:
h3z
gt~≥i4:
λht:
h3z
⊂ht:
⊂i4~
⊂htZ-λh4Z-⊂i4:-i4Z≥λi4Z-⊂ht:≥λi4:≥λi4:-λi4:≥λi4z-λi4:-⊂it:-_i4:-_i4:
ht:≥λhtz-⊂i4Z-ht~
λhtZ-⊂ht:-⊂i4z≥⊂htz-λht:-_itZ-⊂i4Z
⊂ht~-⊂ht:-⊂i4z-⊂j5~-⊂i4~≥λi4z=_it:-λi4Z-⊂htZ≥⊂i4:-λi4z-λi4~-⊂i4z≥⊂i4:≥λitzM⊂itz= i4:≥λj5~=_j4z=_i4z- itz-λhu~=_itZ=_itZ-_itZ-⊂htZ-⊂htz-_itZ=λhtZ=⊂ht~=_itZ≥λitz-λhtZ≥ itz=_i4z-_i4zM_i4Z-_itz-⊂i4zM_itz=⊂i4:-_i4Z-⊂itzM⊂ht:≥⊂htZ-⊂i4Z-⊂ht:-_i4z=_j4z≥⊂i4:-λhtZ-⊂i4Z-λi4Z-⊂ht~-λht:≥i4Z-λht:≥λgt:≥λht:≥h4~≥λi4:≤xht→⎇λht9mgt:≥h4~-λh4→mh4~ph3z
gsz
h4~xg4:
λh4~
h4Z≥_htZ≥h4~-λi4:≥λhtz-⊂ht~
ht:≥⊂hsz
⊂itZ≥⊂htZ-λht:≥λi4:≥λi4:=λhtZ-⊂i4Z-λhtZ-⊂i4Z-λht:-⊂htZ-_itzM⊂itZ-⊂i4Z≥_itZ=⊂i4Z=_htZ= j4z-_itZ-⊂iu~](itZ= j4z-⊂i4z=_itzM_i4zM(j5:M_i5~M(itz- iu~=(ju:]_itz≥λi4Z≥⊂it:-λh4~-⊂itZ≥⊂htz≥⊂itZ=⊂itZ-_i4:-⊂i4Z=⊂i4z=⊂i4Z= j5~M⊂i4zM(j5~M ju~M j5:M i5~] j4ZM j4z=(j5:] itzM(j5:M0ju:=(ju~](ju:](ju:] j5:m(ju~M(j5~M j5:⎇(juZ](ju:](ju:]0ju:](ju:⎇8kuzm8k5Z](j5:]0j5:](k5:]0k5zm(ku{-Plv;≥Xf39\`fs9lpg3YLhg3y\hfsY\hfsY\pgt~xgt~
⊂i4~
h3Ylxh3y|xgsYlxgsY⎇ht:≥h4→⎇ht~≤xh4~xht9⎇λi4:≥λht~
⊂ht~
htZ=⊂h4~≥⊂h4z≥h4:≥λi4Z≥_ht:≥⊂i4Z≥λi4Z=⊂htZ-λi4Z-λitz-_it:-⊂i4Z-⊂it:
λitZ=⊂htZ≥λi4Z-λitZ≥⊂i4Z=_i4Z≥⊂i4z≥λhtZ-⊂ht:=_itZ-⊂itZ≥λhtZ-⊂htZ=⊂htz-λi4z-λi4:≥i4Z=⊂it:-λitZ-⊂h4:≥⊂i4:≥htZ≥λi4:≥⊂i4z-_itZ≥λitZ=_h4z- it:-⊂j5~=_i4z-_itz- itz≥λi4z=_itz=_j4Z-_itz-⊂ht:-_i4Z-_j4Z-_i4Z=_i4~-_i4z-_itz=⊂i4Z-_itZ-_j5~-⊂j4z= i4Z-_j4z=⊂hu~M⊂itZM⊂i4:≥_it:-⊂i5~M_i4:≥λi4Z≥λht:≥λi4Z-_i4Z-_itZ≥⊂i4z=⊂i4Z=_i4Z-⊂i4:≥λht~≥λi4:≥λi4z≥λgt:≥λgsz≥⊂i4~≥i4:≥ht:
λh4→⎇ht:
gt:≥h4~≥λh4:
h4~xh3y⎇λgszxh4:xht:-⊂h4~-λh4:
htZ≥ht:=λht~-λht~≥λi4Z
λht:-_i4:
λi4Z-⊂ht:
ht:≥λi4:
⊂i4:-⊂i4Z-⊂i4Z=_i4Z≥λhtZ≥⊂i4Z-⊂i4z-_itzM⊂i4Z≥⊂j4Z≥_i4z≥_htz=_i4Z=⊂itZ≥⊂iu~-λiu~M i4Z-_itz-⊂i4:= i4z=_itZ= iu~M_i4zM i5~M(j5~=_itz=_i4Z-λhtZ
λi4Z-⊂ht:-⊂i4:-⊂i4Z-⊂i4Z-⊂i4Z≥_i4Z-⊂i4z=⊂itz=_itz= itZ= itzM itZM j5~=_j5~=⊂i4z] itzM j5~=_j5:M_itzM(ju~](jtz=_ju:m jtzM0ju:M j5:m ju:](j5:](j5Zm j5:] j5:](j5:m juZ]0juZ⎇0ju:]0ju:](j5Z⎇(ju~]0juZm(k5Zm8kv;-Hm6;-Xfs→Lhf39lpgsY\hf3Ylxg39lhg39\xg3y|pgsy⎇λht→⎇λgsYlph3y|pgsZ
λgs9⎇λht~xh4~xh4:
h3z≥λhtz≥ht:≥λht~
λht~
⊂htZ-⊂i4~≥⊂i4Z≥i4Z≥ht:≥⊂ht:≥λht:≥λhtZ-⊂ht:-λht:
λi4z-⊂itz=_htZ-⊂it:≥⊂itZ=⊂ht:
λhtZ-⊂htZ≥λi4Z≥ht:≥_it:-λh4~≥⊂gsz-⊂it:-λi4:≥htZ≥λht:≥⊂h4Z-λi4Z-ht:≥λhtZ-λi4:-_i4z=⊂it:≥⊂itZ≥λi4z≥⊂ht:≥⊂i4Z-⊂itz≥λi4ZM_htZ= j4z-⊂i5~=i4z-⊂i4Z-_iu~-⊂itz≥ itZ=⊂itz-_iu~M⊂i4Z≥⊂i4Z
⊂itz=⊂i4Z=_i4Z-⊂itZ-⊂i5~=⊂i4zM_itZ-_j5~-⊂itz=_itz≥_j4Z-λi4z=_itZM_itZ-⊂i4:≥⊂htZM_i4Z-⊂itZ-λi4z≥ht:= i4Z-_htZ≥_itz=⊂ht:-⊂i4z≥⊂i4Z-⊂ht~≥⊂h4:-λhtZ≥λh4:≥λh3z
λht~
ht:xh4~≥h3y|xgt:
ht~≥λhsZ≥λh49⎇λgsz
gsY⎇gt~
i49mht:≥λh4~-⊂h4~
λh4Z≥htZ-h3z
λht:≥⊂i4Z≥gt~≥⊂i49⎇λitZ-⊂htZ≥λhtZ
λht:
λi4z≥λitZ-_ht:-⊂ht~≥⊂htZ-_i4Z-⊂itZ≥⊂itz=⊂i4zM_itz=_itz-⊂i4Z-_i4Z= it:≥⊂i4Z≥λi4Z-⊂htZ-_itz-⊂i4z=_htZ=_iu~= itzM itzM_iu~M(j4Z=⊂itz=⊂ht:≥⊂ht~≥⊂itZ-⊂i4:-⊂i4:-_i4~≥λhtZ-⊂h4:-_itZ≥⊂i4z-⊂i4z-_iu:M j5~M_itzM_itz= iu~M_ju~M⊂itzM_iu~= j5~M iu~]_j5:=(j4z= j4Z=_j5~]_j5:](jtzM ju:] k5:]0k5Z]0ju~M_iu~] j5:](ju:m ju:M0j5Zm0ju~]0ju:M juZm(ju:]0k5Z]0kv~m8kv~⎇Hlv;=`fs→\hf2Y\pgsY\hf39|hg39\pgsYlxg4~xg3ymh3z
gsYlpgsy|pg3Z
g39⎇gsylxh4→|xh4:
⊂hsz
gt:≥h4~-⊂i4:≥h4:-⊂htZ-λi4~≥_i4:≥λh4~
i4Z-λh4:-λi4:-⊂i4:-λi4~-⊂i4~
⊂i4Z≥λi4Z-⊂h4:≥_itZ≥λht:-_htZ-λh4~≥λh4Z=λi4z-i4Z-⊂i4~≥h4:
λh4~-λi4:-⊂ht:≥λhtz≥λht~
⊂i4Z≥htZ=λhtZ-_htZ-⊂i4:≥⊂i4ZM_it:≥_i4Z=⊂htZ≥⊂ht~≥_ht:-_itz=⊂i4Z-_i4:≥⊂j4z=⊂iu~=⊂itZ=_iu~≥_itz-_i4Z= j4Z=⊂it:≥⊂i4z=_itz= i4Z≥⊂i4Z-λi4z=_i4:≥_itZ=_itz=_i4Z-_itZ=_itz-_i4z=_i4Z=⊂itz=⊂j5~M itzM_itZ=⊂htz-⊂itZM_htZ=_i4:-λi4Z≥λhtZ=⊂i5~-⊂h4~
⊂itz=λi4Z-⊂i4Z-λi4Z-λht:≥λhtZ-⊂i4Z≥λh4~≥λht~≥λi4~
h4:xgsz
h3z
gt~
hsz≥hsz
gt~
λh4~≥λh3z
gsy|xht→mht~-λht:
λh4→⎇λh4~≥λht~
λh4→|xht:≥λi4:
h4:
λi4:≥⊂it:≥⊂htZ≥λi4Z≥⊂i4Z-λi4Z
ht:-⊂ht:
λit:≥⊂h4:-λhtZ=⊂itz-⊂itz-⊂htz=_i4:-_i4z=⊂i4Z= i4z=_i4Z
λitZ-λhtz-⊂htZ-⊂itZ
i4z=⊂htzM_j4z=λitz= i4z= j4zM j4z=_itzM_i4Z-⊂ht:
⊂it:-λi4:-⊂i4:≥⊂ht:≥⊂htZM⊂htZ-⊂j4z-_j5~=_i4z=_i5~= j4z=_j4z= j4zM_iu~=_jtzM j5~M iu~M_ju~] j4zM iu~M(jtzM(j5~M iu~M j5:]0jtz=(juZ] j5Zm0ju~M ju:]_j5:](j4z](j5:](ju:] juZm0iu:](ju:M(ju:m(juZm8k5Z](k5zm8kv≠
Hlv[-`f39\pfs9lhfs→Lhgsylpg3→lxgsylpg3Zxg3Y⎇h3z
h3Y|hg3Ymg3Ylxh3y|xh4→\xh4:xgt~
⊂ht~≥λgt~xh4~≥λhtZ≥⊂ht:=⊂htz-⊂hsz
_hsz
ht:
λitZ-⊂h4~-⊂i4Z-⊂i4z-⊂i4:-⊂ht:≥λh4:
λht:=_i4Z-λhtz≥λi4:-⊂i4:=_i4:-λhtZ≥⊂htZ-⊂hu~-_itZ-λht9⎇λi4Z-⊂ht~≥⊂itz=λh4:≥λht~≥⊂htz≥i4Z=⊂i4~
_ht:≥⊂ht:≥_htZ=⊂h4Z-_i4Z=_htZ≥⊂ht:≥⊂it~≥λitZ-λi4:- i4Z=_j5~-_iu~-⊂itZ=_itZ-(j5~-⊂htZ=_i4Z- i4:=_i4ZM⊂i4Z-_ht:
λitZ-_j4z=⊂i4:
λitZ≥λj4z=_itz=_itZ-λitz-λi4z=_i4:=_itZ-⊂itzM_i4zM_itzM_itz-⊂i4Z=⊂i4Z= i4Z-⊂itZ≥⊂htZ-⊂i4z≥λitZ≥⊂htZ=λi4Z-⊂i4Z≥i4Z≥htZ
λh4:-⊂i4Z-h4~≥λht~≥⊂ht~
htZ
h4~≥λh4~
h4→lxht~≥λhsz≥gsz
gt~
gt~
h3y|xh4~
h4→⎇h4:≥λht→⎇λh4~
ht~≥λgt~
ht~
ht~≥λh4~
ht~-it:=⊂i4Z≥_ht:≥⊂ht:≥λhtZ-λht:-_ht~
⊂i4Z≥λh4Z≥λi4z=⊂ht:≥⊂i4Z=⊂htZ-⊂i4:=⊂i4z-λi4Z-_i4z=⊂ht:-⊂j4z-λi4z-⊂itZ-_i4z-⊂i4z-⊂h4Z=_itz-⊂iu~M_htZ= itzM j5~= j5~M_itZ≤xht~
λi4:≥λi4~≥⊂ht:
⊂ht:
⊂htZ=⊂i4Z=_itz-⊂itzM⊂iu~- ju~= j5~=_itZ=⊂i4Z](iu~M j5:M iu~M(j4zM(ju:M j5~=_iu~]0j5~m(juZ]_j5ZM_iu~M j5~=_j5:M_j5:m0j5~M ju~](j5~] ju~](ju~] ju:](juZm(ju:]0k5Z=(k5Zm(j5:m0k5Z⎇0kuZm8k6≠≥@lv≠-Pf39lhfs→Lhg39lpgsY|xg39|xgsY|pg3y⎇gsY⎇h3Y|xgszpg3Y⎇gsY⎇h4→|xht9lxh4:-λh4:
λhsz≥i4:-g4~-⊂i4:
ht~
λhtZ-λgt~
⊂i4~
i4Z≥λh4:-⊂i4:-_itZ=htZ≥λht:- i4:≥⊂i4Z-λht:-⊂htZ≥i4:-λitZ-⊂i4Z=⊂itz-λi4Z≥⊂htZ-⊂i4Z≥⊂htZ≥λhtZ≥⊂ht:-λht:≥⊂i4Z≥λhtZ-_ht~≥λi4z
λhtZ-⊂ht:≥⊂i4:≥λi4z=_ht:-λhtz-_j4:=λi4:≥λht:-⊂i4:≥⊂j4z-λi4:- i4Z=_j4Z=_iu~-⊂i4Z=⊂i4Z-_j4z=_i4zM⊂htZ=⊂i4:-⊂htzM⊂htZ=_it~≥htZ-_itZ-⊂ht:-⊂it:≥λi4Z=⊂i4z-_itz-⊂i4z-λi4z=λi4:=_itz=_i4zM_itz=_i4Z- j5~-_i4:-⊂ht:M_i4:≥λitz-λi4Z
λi4:≥_itZ-λi4z-_i4:-_htZ≥ht~
htz-⊂ht:-⊂htZ≥λht~
ht~
⊂ht~
ht:
gsz≥h4→|xht:xgsz
λht~
h3y⎇g4→|xgsy⎇gt~≥λh4:≥ht:
hsz
λht:≥λi4→⎇i4:
λh4~
h4~≥ht:≥ht:-λht:≥λht:≥htZ=_ht~-λht:-λhtZ=λhtZ-_i4:-⊂i4Z≥λgt:
λh4:≥λh4:≥λht:≥λht:≥⊂i4:-⊂i4Z-⊂itz-_htZ=⊂htZ-⊂j4z=⊂i4z-_itZ-_i4Z-⊂htZ=_htZ=_j4Z-_i4z= i4:=_itzM itz=_j5~= i4:≥λi4:≥λhtz-i4:≥_ht:≥λh4:≥⊂i4:≥⊂i4Z=⊂i4Z≥⊂i5~=⊂iu~= j4Z=_ju~=_j5~M⊂itZM(itzM(j5:M(j5~] j4z=(k5~M iu~M_j5:m0j5~](j5:= j5ZM j5Z] j4zM⊂j5~M_ju~]0ju:] ju:M(j5~M⊂j5~M(k5~](k5Zm(j5:M(ju~M(j5:](k5:m(juZ]0ju:m0k5Z⎇0k6≠
Hm6;≥Xes9\hf3Y|pgsY\xg3y|xgsYlpfs9|pg3Y\xg4→|pgsY⎇λh3y|pgsY|xgsy⎇λgt~xh4:xh4:≥λh4:
h3z
ht:-⊂h4:≥λht~≥λi4:≤xgt:≥λgt:≥⊂i4Z≥λi4Z-⊂h4:-_i4:≥λi4Z≥λhtZ=i4:=_i4:≥λitz-⊂i4Z=⊂htZ≥λi4Z-λh4:-⊂i4z=⊂itZ
g4:-λhtZ≥⊂i4:-_ht:
λhtZ-⊂h4:≥⊂htZ-⊂i4Z-λh4z-⊂h4:≥_it:
_itz=_ht:≥⊂i4:-htz- iu~=⊂itz≥⊂jt:-λi4Z=⊂htZM⊂htZ-⊂htZ-_i4~-_itZ=⊂itZ-_j4Z-λi4z]⊂i4z=_j4z-⊂htZ=⊂htZ-_i4:-⊂it:-λi4Z- i4~≥⊂i4:-⊂ht~=⊂htZ-⊂i4~-λi4zM_itz=⊂i4Z-_itz=⊂i4zM⊂itZ-⊂itZ- i4Z-⊂itz-⊂i4Z-⊂itz≥⊂itZ=⊂i4zM j4Z≥λitZ-λhtz-⊂htZ=_i4Z≥⊂h4Z≥λh4:-⊂itZ≥⊂ht~≥_ht:=λi4Z≥λht:≥h4~≤xh3z
ht~
λht~≥λh4~
λh4→⎇ht9⎇ht~-λh3Y⎇h4→|xg4:pg4~≥λgt~
h4~xht~
λht~≥λi4:≥λht:≥ht:≥⊂ht~
λht~≥h4:
h4~-⊂gt:-λht9⎇ht:-⊂htZ-⊂i4:-λhtZ=λi4:-⊂htZ-λht~-h4:≥⊂h4:-λh4:≥⊂htZ-λhtZ≥⊂htZ-⊂i4:≥λi4Z-⊂htZ=⊂htZ=⊂itZ-_itz= i4Z=_itZ-λhtz=⊂htZ= itZ-_i4z-_j4zM_itz] j4z= itz= i4Z-λi4Z-λi4z-λht~≥λht:≥λht~≥⊂itZ-_i4Z=_itZ≥⊂i4z-_j5~M j4Z=⊂itZ≥⊂ju:M⊂itzM itz= ju~M j5~M_itzM ju~= j5~M iu~](j5~=(j5:M i5:]_j5:M(ju:M iuZm(ju~M0ju~](ju~M(ju:]_j5~= ju:] k5~] juZm(j5:M(j5~M ju:](juZ]0juZ](juz]0l6;≥Hlv;-Xf39\pfsZpg3Ylxg3ZhgsY\hf3Ylpg3y|pg4→|xg39|xhsy|xgsY⎇g3ylxg3Y|xgszxh4:≥⊂h4→⎇hsymh4:-λh4:-λh4~
λi4:-gt:-⊂h4:-⊂i4Z-λh4Z-λi4:-⊂ht:≥⊂i4Z-⊂htZ≥λit:=_j4Z≥⊂itz=⊂ht~-⊂h4:-λhtZ≥h4:
λht~≥⊂i4Z≥h4Z-_i4Z-⊂htZ-λht:
λi4Z=⊂ht:≥⊂htZ≥⊂i4Z=h4:-⊂h4:≥⊂i4Z-⊂i4z-⊂ht:-⊂itZ-i4z
λiu~-⊂i4~≥⊂itZ≥⊂i4Z=⊂ht:=⊂h4Z-⊂htZ-λitZ-⊂i4z=⊂i4Z-_itz-⊂i4Z=⊂i4z=_iu~= i4Z]_i4:≥_it:≥⊂j4Z≥⊂htZ= ht~
λi4Z≥_i4:-⊂i4Z-_i4:≥λhtz-⊂itz=⊂itz-⊂itz-λhtZ=⊂htZ-_j4z=_itz-_htZ-⊂itz-_iu~=⊂itz=⊂i4Z= itZ-⊂itZ-⊂itz=⊂ht:
_itz-⊂i4z≥h4:-_it:-λht:≥λh4:=⊂it:
⊂i4~ph4~-λi4:≥λht~xh4→⎇gsy⎇gt→lxht→lxh4:-λh3zxh49⎇gt→|pg4~
gsY\ph4~≤xh4→⎇gt~≥gt~≥htZ,xht:
λh4~
λht~
h4Z≥λi4~≥λh3z≥⊂h4→⎇h4:≥λh4:-λi4~≥λhtz-⊂i4:-⊂htZ≥ht:≥ht~-λhtZ-λi4Z≥⊂ht:-⊂h4:-_i4Z-⊂i4Z-λht:≥λht:-_htz=⊂itz=_itZ=_itZ≥⊂itZ-⊂iu~-λi4zM i4Z-_i4z-⊂j4zM_htz- iu~=_j4z= it:=⊂i4z≥⊂i4z-λi4Z≥λhtZ-⊂i4:≥⊂i4z-⊂i4Z=_itZ=_i4z-⊂itz=_i4Z=⊂i4z=_ju:M⊂i4Z=_j5~M(ju:M iu~] j4z= j5~- ju~] j5:M(itZ=_iu:M j5:] ju~M(k5:M iuZ](j5:M0jtzM(j5:M_iu~M_j5~M j5~M ju~M iu:]0ju:]0ju:M(k5:m(j5Zm(ju:] kuZm8l6≠≥Hlv;
Xf39\pfsY\`g39\xgszpg3ylhfsYlxgsy|xg3z
gszxh3zxgt:
gsy|xgt~
h4:≤xgt~
h4→⎇λh3z
λht~≤xh3z≥h4~
λi4:≥ht:≥λgt:
htZ
λht:-htZ-⊂ht~-⊂i4:-⊂ht:-λi4:≥λi4~
λitz=λht:-⊂htZ-⊂htZ-λi4z-λht:≥⊂htZ-λht:≥⊂i4Z-⊂ht:-λi4:≥ht~≥λi4~≥⊂ht~-⊂htZ-λhtZ≥λhtZ≥⊂i4:=_htZ≥⊂i4:≥⊂i4Z-⊂i5~-⊂i4z=⊂i4Z≥λh4~≥⊂i4Z-_ht~-⊂i4:-⊂itz-⊂i4Z=_j4z-⊂i4:-⊂i4z=_htZ=_itZ-_iu~=_i4z=_i4Z-_it:-⊂i4Z≥λi4Z≥_ht:≥⊂i4Z
λi4:-⊂i4z-⊂itz≥_itz-λi4z=⊂itZ- j4z=⊂iu~=_i4~=_i4Z-_j5~=_htZ-⊂itZ- itz-⊂i4Z-⊂i4z= i4Z≥⊂i4z-⊂htZ=_i4Z≥_itZ
λi4Z-⊂ht:-⊂j4Z≥λi4Z≥λh4:-λi3z≥⊂i4~
htZ-λht~≥hsz
i4:
λh4~
gsylxh4→|xh3z≥⊂h4~≤pgt→⎇gsy|pg4~≥λgsylxh4:
h49|xg3z
λgt:≥h4:-h4~
λh4:
λht~
λh4~
λi4:≥λh4:≥h4:
h4~-⊂ht:-i4~
⊂htZ-⊂i4:≥λh3z
λgt~≥h4:≥h4:≥⊂ht:≥⊂itz=_i4:-_i4:
⊂i4Z-λhtZ≥⊂i4:=_i4z≥_itz-⊂itz= itZ-_it:≥_itz-_iu~M_itz-_itz-⊂i4z=_itZ=_iu~M itz] i4:-⊂i4Z
λitz≥λhtz-λht:≥λi4:-⊂itZ=_h4:=⊂itz=⊂itZ≥λi4ZM itZ=_itz-⊂j5~=_j4ZM j5~M j5~M_iu~M itZ= j5~M_ju:] itz= itzM(i5~M_j5~M_ju~M(jtzM j5Zm0ju~M(j5:](ju:=_j5:m j5~] j5~M juZ](ju~](j5~M(ju:M(ju:m k5:](ju:](k5Zm8kv≠≥Hlv≠
Pf3→lpg3Y\`fs9\hg3Y|xfszpfsY|ph39lpfs9lxh4~≥h4→|xh4~
gs9|pgt~xht:
ht:≥λgsy⎇λh4~
λhtZ≥h4:≥⊂h4~
λht:≥ht:-λht~≥λi4:≥⊂itZ
h4:-λht:-_i4:-λitZ-⊂i4:≥λi4:≥⊂i4:≥h4~≥λhtZ≥⊂h4Z=λi4Z-⊂ht:-⊂i4Z≥λht:≥λh4Z-_ht→⎇λi4:-htZ≥λitZ
⊂h4~≥λhtZ=_i4Z-⊂i4z-λht:-⊂i4Z≥⊂i4Z=⊂ht:≥λi4Z-⊂itZ=⊂ht:-λht~≥ht:-⊂i4:-⊂i4:≥⊂itz≥⊂i4Z= itz=_i4:=_iu~M_i4z=⊂i4Z≥⊂i5~M i4:=_itZ=_it~≥λitzM⊂i4:-_i4Z≥⊂i4Z-λi4Z-_i4z-⊂itZ≥⊂j4z-⊂i4z=⊂itzM j4Z=⊂iu~M i4:=_htZ=_i4z=_i4:-_htZ-_i5~-⊂ht:=⊂itz-⊂i4Z-⊂j5~=_i4Z≥λhtz≥⊂itz-λhtZ=⊂i4:-λi4~≥⊂htZ
h4:-⊂ht~
⊂i4~≥λhtZ≥ht~≥λh3Y⎇h4~
ht~≥gt→⎇h49|xh3Z
λht~≥h4→⎇gsY|xgt~
g3Z≥λht~≥h4~xgsYmgt:≥htZ≥λht9⎇gt→⎇ht:
λht~≥λht9⎇ht~
gt:
i4:=λht:≥⊂i4~
λhtZ≥λi4Z=⊂ht~
λh4~≥h4Z-h4~≥λht:≥λiu~=⊂i4:≥⊂i4~≥_itZ≥λi4:-λi4Z≥_i4Z-_itZ- itzM_it:≥_itZ-⊂itz-⊂htz=_j4z-_itz=_iu~M_j4z=_iu~M_itzM i4Z-λi4:
λitZ-λi4Z=⊂i4z≥λi4Z-λi4Z-⊂ht:-_iu~-_itZ≥λhtZ=(itZM itZ-_j5~M_i4zM(iu~M j5:M iu:M_itzM itZM⊂ju:m(iu~M j4z= j5~M ju~M ju~](ju~] ju:M(ju:](j5:M_j5~= iu~](j5~](ju~m ju:]_j4zM(j5~M(k5Z] k5:m(k5:m0k5:M0k5z⎇@l6≠≥Hlv≠
PfsYLpg3Ylpfs9\hf39|xgszpfs→\xg3Ylhfsy|xh4→|xgsy|xgsz
ht~xgsy⎇gt→⎇ht:≥h4~
⊂h3y|xh3z
htZ≥λh4→⎇λh49⎇htZ=λh4:
⊂itZ≥⊂htZ≥λh4~
h4:
_i4:-⊂i4:-ht:-⊂ht:-λht:≥htZ≥λht:
⊂i4Z-λhtZ≥λi4:-⊂i4:
λht:≥htZ-⊂i49⎇λh4:≥λht:≥htZ=⊂i4:xi4Z≥λi4Z-⊂htZ=_i4Z≥_i4:-h4:≥⊂i4Z-⊂itZ≥λhtZ=⊂ht:≥λi4Z≥λht:=⊂itz-⊂htZ≥⊂i4Z-_i4:=_i4Z-_htZ-_j5~M_j4Z-_htz-λi5~M_itZ-_i4Z-λht:≤xh4:=_i4Z-_itZ-⊂i4Z
λhtZ≥_i4z-i4Z-⊂j4Z-_itz=_itz=_j4z-⊂i4ZM_itZ=_i4Z-⊂itz-⊂it:-⊂i4Z=λi4z-h4:-⊂i4Z≥λi4:≥_j4z≥λhtz-⊂htZ-λhtZ≥htZ≥λi4:-⊂ht~
 i4Zxh4Z-_i4:≥_it:-λhtZ≥ht:
λgsy⎇h3z≤xgt:≤xgsz
h4Z≥λgt~
λht~
gsz
h3z
gt:xg3zxh3y|xh4~
h3z
λgt~
λi4~≥h4:
ht:≥ht~
ht~-λh49⎇ht:≥ht9⎇i4Z-⊂htZ-λi4:
htZxi4:-λht→⎇λht:-λh4:-⊂h3z≥h4Z-λitz=⊂i4Z=⊂ht:-⊂i4Z≥λi4Z-λhtZ=_i4:≥⊂i4Z=⊂i4Z-⊂i4Z≥⊂i4:≥λi4z-⊂i4Z≥ itZ≥⊂i5~=_iu~=⊂j4z= j4z=_itz](it:≥λi4Z
⊂i4Z
λi4Z=_htZ-⊂i4:-⊂htz-⊂ht:=⊂ht:-_i4z=_itZ= itzM j4z- j5~]_iu~M(itZM_j5:M_j5~M j5~](j4z= ju:M_j5~M(ju~= iu~M_iu~M ju:](ju:] ju:M_j5~M j5~M ju~M_iu~](j4zM j5:M j5:] j5~](j5~M(ju:M(k5:m(ju:m0ju:]0k5:]8kv≠≥Hm6[≥PfsYlxg3Ylxh39\hfs9lhg3y\pfs9|xgt→|hfsymgsz
λh3ylxg3Y|pgsz
gsZ-λht~
λht~≥h4~
ht→⎇h4:≥λh4~≥ht9⎇λi4:≥λh4Z=⊂h4:-⊂i4:≥λhtZ
i4Z≥λht:≥λhtZ
ht:=λhtZ-i4~≥htZ-λitZ-λh4:≥λh4:-⊂ht:≥⊂htZ≥⊂ht:
λi4Z-λh4:≥_it9⎇λht:
⊂htZxgtZ≥⊂h4→⎇λitz-ht:≥_ht:-_i4Z≥⊂i4z-λht~-⊂itZ-λi4Z
λht:≥⊂ht:≥λht:
i4:M⊂itz=⊂j4z-⊂i4Z=⊂ht:-_itZ-_i4:≥⊂itz=⊂it:-_itz-_itz=_i4Z=_itZ=λhtZ-λhtZ=⊂htZ=⊂itZ=_i4Z≥h4:≥⊂h4:-λi4Z-⊂i4Z= itz- i4Z=_i4Z-⊂htZ= itzM_itZ-⊂j4z≥⊂itZ-⊂iu~=⊂i4Z≥ht:-λit:≥λht:≥λi4z-λhtZ=⊂htZ≥⊂i4z≥λht:≥λht:-⊂ht~≥⊂itY⎇λhtZ-_h4:
⊂j4Z≥λhtZ-⊂ht~
λi4→lxgt→⎇h4~≥gsy⎇λh3z≥λgszxgsY⎇gsYmh4→lpgsZ≤xgsz
h3y|xht→|xh4~
λh3z
λh49|xh4~
λh4:≥λht~
h4~≥gt~≥λht~≥λi4:
λhtz-λhtZ-λht:xht:≤xh4:≥λhsy⎇λht:≥λgtZ≥λht:-ht:≥λhtZ-⊂htZ≥⊂h4:≥⊂i4z
λitZ-λi4Z-⊂itz-λi4:-⊂i4:-⊂i4:=⊂itZ
⊂itz-λi4Z=_i4z-_iu~=⊂j4z=_i4z=_k5~M iu~= it:
λh4~≥λi4Z≥λi4Z=⊂i4Z-⊂i4:≥λi4Z-⊂it:=_ht:=⊂i4z=_htz=_itzM j5~M itZM itz](j5~=_j4zM_itz= j5~](ju~= j5:M j5~]0j5~M j5:=⊂j5~](j5:M j4z=_iuZM ju:M0ju:M j5~= iu~m(j5~M_j4z= ju:] iu:] ju:M0k5:m(j5~](ju:m0juZ⎇8k5Z]0ku{
Hlv[≥Xfs9|xfs~
h3Ylpg3Ylpgsylpg39|xgsy|pgsy|xg3Ymht→lpgsylpgsY⎇λg39⎇λh4:
h4~
h3z≥h4:
h4~≥λht~≥λi4:
ht:
h3z≥λht:-ht~
λi4:
ht:≥⊂ht:
⊂htZ≥h4:≥λi4:≥⊂it~≥htZ-λi4Z-⊂h4:≥λi4Z≥λh4Z=λht:≥λhtZ
⊂i4:≥⊂ht:≥λi4:-λi4Z≥λhtZ
gt:-h4~
λi5~-λi4:≥⊂h4Z-⊂i4:-⊂htZ-⊂i4:=⊂i4:≥λhtz≥λhtZ-⊂j4Z-λh4:
i4:=⊂i4Z=_itZ≥_i4:≥λi4Z-_itZ-_itz=_j5~-⊂i4:-⊂itZ-_itzM_i4:=λhtz-_i4Z-⊂i4Z-⊂h4Z=_ht:≥⊂i4Z-λht:=⊂htZ=λht:≥λh4~=_itzM i4Z=_i4Z=λhtZ-_itZ-_ht:-⊂j4Z-_i5~-⊂i4Z-⊂itz≥λht~≥λi4z=⊂htZ≥λi4Z-i4Z-⊂ht:-⊂i4Z-⊂ht:-λit:≥⊂i4~
itZ
λh4:≥⊂h4~
⊂itZ≥λh4Z,xh4:≥λh4→lxgt~
gsz
λgt~xgs9|xgsy|pfsz
λh39]h3ylxg3z
gsy⎇λh3z
ht~xgsy⎇h4~
λh4Z≥λh4~
h4~
h3z
ht:≤xgt~≥λht~
ht:≥⊂htZ-_i4:-λht9|xht:≥h4:-⊂h4Z≥⊂ht→⎇λhtZ-λi4Z≥λht:≥⊂i4Z-_htZ
ht:≥⊂itz
⊂i4Z=⊂i4:-⊂itz-⊂itz≥λi4~-⊂i4:=_iu~=⊂itz-⊂i4z=⊂itZ≥_j4z=⊂htZM⊂htz=_j4zM_itzM⊂it:≥⊂h4~≥htZ-λhtZ≥⊂i4:≥⊂ht~
ht:=_itZ=_ht:-⊂it:M_itz=⊂i4zM ju~M itz=_itZM ju~-_j5~=_j5~](ju~]_itz=_iu~M_ju:] j4z=_j5~=_j5:](ju:] j5~=_j5~M j5:](ju:]0ju:M itz] j5~M j5~M(k5:] juZ](j5~](k5:] ju:] ju~](juZm8kuzm8kuz⎇@lv;≥XfsY|pfsY|pg3Y|pgsy|pgsYlpgsylxh3Ylxg3ylxg3→lxh3y⎇ht→|xgsz
h4~
h4:≤xg4~≤xh3y⎇h4→⎇ht:-λi4:≥λi49⎇h4~
h4Z≥⊂i4Z≥λht~≥i4:
htZ-⊂i4:≥⊂i4z≥λh4:≥λht~
λi4:≥⊂htZ=_ht:≥⊂ht:≥⊂i4Z≥⊂i4Z=h4~≥⊂ht:
λi4:
⊂h49⎇ht:≥λh4Y⎇ht:≥λh4:≥λht:≥λhtZ≥⊂i4~≥λgt:≥⊂ht:≥λhtZ≥h4:-⊂ht:
⊂htZ-h5~-λi4Z-⊂i4~-⊂h4:≥λht~=⊂i4Z≥_i4z≥λi4z-_i4:≥_i4z-_itZ-⊂i4:-λi4:-_itz-⊂h4Z=_ht:-⊂itZ-⊂itz-⊂htz=_i4:≥⊂it:≥_i4:-⊂i4Z≥h4→⎇ht:=_iu~- j4z= i4Z=λh4:-λitz≥_itz=⊂j4z-⊂i4z=λht~≥i5~-_it:-⊂htZ=_h4:-i4Z=λi4~=λh4:-⊂i4Z-⊂i4:≥⊂i4:-⊂ht:≥λh4Z
λgt:≥λht:
λitZ-λhtZ≤xh4Z≥λgt~xht9|xg3Y⎇h4~≥h3Ylxgsy|pgszxhs9lxh3z
gt→|xh4→lxgt→⎇h3y|pg3y|xh3ymh4:≥gt:≥h3z
gt~≥ht:-ht~
⊂ht~≥ht:≥h4:-_ht:-λht→⎇gtZ≤xh4:≥⊂ht:≥⊂ht9⎇h4:-λht:≥λh4:≥λi4~-⊂ht:-λh4:≥⊂htz-λhtZ-λhtZ-⊂it:≥⊂i5~-⊂i4:-λi4z-⊂hu~=⊂itz≥⊂i4Z-_itz≥_j4z-⊂iu~M_i4z-_itz= itz=⊂i4Z≥λht:
ht:≥i4Z≥λht:≥⊂it:≥h4Z-λhtZ=_itZ= j4z=⊂i5~-λiu:M_j5~=_j4z=_itz=_ju~M_j5~M ju:M itzM_j4zM j5~M j5:M j4z=_j5~M ju:M(iu~M(j4z= ju:M j5~](iu:]0ju:] iu~M iu~= ju:](juZ](ju:](j5~](juZ] ju:m j5~]0k5Z](kuz]8kv≠
Hm6[≥`fsY|pgsylpg39lxgsYlxg3→\pg3Ylhgsylxg3ylpfsY\hgs9⎇h4:
λh4~xgsy⎇ht~≤xh4→|xh3Zxgsy|xht:≥λh4~≥⊂ht9⎇gt:≥λhtz
λh4~≥λi4Z
ht~≥λhtZ≥⊂i4Z-⊂i4:-⊂i4Z≥⊂ht~-⊂itZ-λht:
⊂ht:
⊂i4:≥λi4:
λit:≥λh4:-⊂h4:≥λht:xh4Z-λh4:
i4→|xh4~≥λhtZ-⊂ht:
h4~≥ht~≥⊂gtZ-⊂i4:≥λht:,xh4:=⊂itz-_i4Z
h4z-ht:-_i4Z-⊂ht~≥λh4:=⊂i4Z-⊂i4z-⊂i4Z=_ht:≥⊂i4Z-⊂i4Z-⊂itZ-⊂htZ-λi4z
⊂htZM i4z-_j4z=⊂iu~-⊂i4Z=_ht:
λh4:≥⊂i4~=⊂i4:
⊂ht:≥⊂htZ-_itz-_itZ-⊂itZ-⊂htZ=⊂i4Z-_i4z-λi4z-⊂i4Z-λi4~-⊂htz-⊂i4Z=_htZ-_ht~≥λhtz=λi4:=⊂i4Z-⊂ht:-⊂i4:-λht~≥λgt:≥λhtY|xh4:≥λi4Y⎇λhtZ=λht:xh4:≥gsy|xhtZxgsy⎇h4~
gsY⎇g3Y|xgsy|xh3Y⎇ht→|xgsylxgsymh3y|xgszxgt→|xh4→mh3z
gt:≥λh4→⎇h4~
h4Z≥ht~≥⊂i4:≤xgt~
λht:-⊂ht~-λi3y⎇gt~≥h4~≥λh4:≥_i4:≥λht~-λh4~≥h4Z-⊂i4~
ht~≥gt:
λhtZ-λi4Z≥ht:-⊂htZ
⊂itz=_htZ=_i4z=_itz=⊂itZ≥⊂itz-_iu~=⊂j4z≥⊂itz= i4:- j4z-_itzM_ht:≥⊂i4:≥λh4:≥λhtZ≥λi4Z=⊂it:≥htZ≥λi4Z= itZ-⊂itz=_i4z=⊂i5~=⊂iu:M_j5~=_j5:= j4zM_ju:]_j5~] itz]_jtzM j5~M(juZ= ju:] j5:M_itzM(j5:M(ju~]_j5:M_iu:M(j4zM(j5~= itzM itz= ju~](ju:] ju~]0j5:](ju:M j5:](ju:m_ju:m(k5zm@l6≠≥Pm6;-XfsY|xgt→lhg39lpgsy|pg3Ylxfsylph4→|pg3ymg3ylph3Y|xgsz≥hsz
gsy|xh4:ph4:
gsY⎇λh4→|xh4:≥λgt:≥ht~-λi4~≥λht:≥h4Z-λi4Z=λi4~≥λh4:≥⊂htZ-⊂i4:≥⊂htZ-λi4:≥λi4Z-λht:≥⊂ht:-⊂ht~≥λht:
λh4Z≥h4~-⊂h4~-λh4Z-gt:-⊂ht:
ht9⎇htZ-λhtZ≥⊂i4:≥λht:
ht~≥⊂i4~
⊂it:≥h4:
h4:-⊂h4:=⊂i4:-λht:-⊂i4:-⊂ht~≥λi4:-⊂h4Z=⊂it:-⊂i4Z≥it:-_ht:≥⊂i4Z-λitZ=_itZ- i4z=_i4Z≥λh4ZM_i4z=_i4:-⊂itZ-λi4:=_htZ≥⊂ht:≥λi4Z=λht:-_ht:≥λi4z-λi4Z=_j4Z≥⊂itZ=⊂j4Z=⊂htZ-⊂i4:≥⊂i4z=⊂htz=⊂htZ-⊂itz-⊂i4z=⊂htZ-_i4~≥h4:-λhtZ-_i4:-⊂itZ≥λht~-λht:≥λht~-⊂itz≥ht:≥λi4Z
⊂htZ≥h4:
λh4:≥λh3zxht:≥gt~xh4~
gsYmgsYmg3y⎇g3Y⎇gsy⎇h4:xgsYmi4→|xh4~
gt~xht→⎇h4~xh4:≥h4→|xh4~
λh4:≥h4~≥⊂it:xh4:
ht:-⊂h4:
ht:
λht:≥λht~
h4~≥_htZ≥htZ≥λht:
λht:=⊂ht:≥λht:
λh4~≥i4:≥λi4z=λhtZ≥⊂i4:
λiu~=⊂i4:=_itZ≥_j4z-⊂i4z-⊂i4Z=_iu~M⊂j4z-⊂htZ=_itZ- ju~-λitz-_ht~≥λht:≥λi4z=λhtZ≥⊂i4Z-⊂i4Z
λitZ-⊂itz=_it:≥λitZ-_itZ=_i4Z-_iu~=_itz= j5~= j4z=_ju:]_iu~M j5~](j5~M_iu~M j5Z= j5:M ju~M_i5~=_j5~M(j5~M j5:M(j5~M j4Z- j5:M j5~M itZ-(j5~M ju:m(ju:m0j4zM(ju:] j5ZM(ju:m0k5Zm(juz⎇@kv≠≥Hlv;-XfsZ
gsY\hf39lhgt→|pg3ylpg3Ylxgsylph4:
gsylxgsy⎇h3z
h39lxgt→|xh4:≤pgszph3z
λh4~
gt→⎇gt~≥λhtZ-_htZ≥λit:
λh4Z≥λht:≥λitZ=⊂h4~
⊂h4:-λi4:≥⊂it:≥⊂ht:≥λht:-_htZ≥λhtZ-⊂ht:
⊂i4:≥λh4:-ht:≥λi4~≥htZ≥λht:≥λhtZ≥_i4~
λi4Z-ht:≥λht~≥i4:≥⊂ht:-λi4:
⊂i4Z=h4~-h4~
⊂h4:≥⊂htZ=⊂i4Z≥λht:≥i4~≥λi4:-λhtZ
λht:
⊂itZ
i4:≥⊂i4:=_i4z-⊂itZ=λi4:≥λitz=_itZ
λhtZM⊂i4Z-⊂itz-⊂i4:-ht:-_i4Z-ht:
i4z≥λh4:-_it:≥λi4z-λhtZ-_itz-⊂i4z≥λi4z=⊂htZ-⊂ht:≥⊂itz=λi4ZM⊂i4~-_i4Z-λi4Z-_htZ=_it:-h4Z-⊂i4Z-⊂ht:≥λi4z≥⊂i4:≥⊂ht:-⊂ht:-⊂i4Z≥ht:≥λi4~
_i4:≥ht:
gt~
λgt→⎇i4:≥λgt:≥gsy⎇λg3y\xh3z
λg3Zhg3Ylpg3ylxgt~xgt→⎇⊂i3Y|ph4~xgt→⎇h4:xh4:xh4:
h4~
ht:
λhtZ≥λgt~
λhsz
λhtZ
ht:-⊂ht:≥λht:≥λi4Z≥λh4~
h4:
λh4Z≥h4:≥λh4~
⊂h4:
i4:≥htZ-_i4~
λht~≥λi4Z≥λh4:-⊂it9⎇⊂iu~=⊂itzM i4Z≥_i4Z-⊂itz-λi4Z=_itz=_j5~M_i4z= it:=_itz-_j5~=⊂i4:≥⊂ht:-_i4:-⊂i4Z-λhtZ≥λi4:≥⊂i4Z-λi4Z=_i4Z-⊂i4z≥⊂itz=⊂htZ-_iu~=⊂iu~=_j5~= i4ZM j5~M_j5~] iu~M(juZ]_iu~M_iu~M(jtzM(iu~M(itz= iu~M(j4zM k5:M(iu:M_iu~= j5:= iu~= itZ= j4z=_iu~](ju~](j5~= k5~M0juZ](ju:m0kuZ](k5Z⎇8k5{
Hlv[-hg39lhg3→\pg3ylxg4→lhfs9lhg3Ylxgsy|hg3y⎇gsy|xgs9mgt~
h3ylxgt→⎇gt:≥h4~xgsz
ht~
h4:≥λh4~≥ht:
⊂htZ-λht:-λht:
λit:≥λitZ≥⊂ht~
⊂ht~≥λi4Z-λi4Z-λh4~≥λht:≥_htZ-λh4:-λh49-⊂i4:≥λgt:-λht:
λi4:xi4:
λi4Z-λht:-λh4~xi4z≤xh4:≥λht:
⊂i4:≥λi4:≥λht:≥λhtZ-λht:-λh3z≥⊂h4:
htz≥⊂i4Z-⊂h4:≥λht~
⊂i4~≥λht:≥λh49⎇itZ≥λhtZ-⊂ht:=⊂i4z-_i4Z-⊂ht:-λi4Z≥λi4Z≥⊂htz= htZ-_j4Z≥λhtz-λht~≥_i4:-_i5~≥λi4Z≥λh4:=_j4z=htz≥λi4z-_itz≥λi4Z≥⊂htZM_i4Z-_ht~≥⊂i4Z=⊂htZ=⊂i4:-⊂itZ≥λi4Z-λhtZ=_it:≥ht:≥λhtZ-⊂ht:≥λi4Z≥λhtZ≥⊂ht~-⊂itZ-_i4Z≥ht~≥λi4→⎇⊂i4:
htZ≥h3y⎇h4→mh4~
λh4~≥gsY|xg3Ylxh3y⎇λgsz≤ph3y|xgsy⎇g3y\pg3y⎇h3ylph3y⎇h4~ph4:
htZ
ht:≥h3z
λh3y⎇ht~≥gt~
λht~
⊂ht:
htZ=⊂h4:-ht~
λht~-h4~
h49⎇h4:
_h4Z-λhsz
λh4~
i4~-λh4:-λht~-λht~
λi4Z-⊂h4:-⊂i4Z
λi4Z-_itz= itZ-⊂itZ≥λi4Z=⊂i4:= itz-_itZ=λi4z= i4Z-_itz-_itz=_ht:≥⊂i4:-⊂i4:-i4z-λhtZ≥λhtZ-⊂itZ=_i4:=⊂itz-⊂itZ-λitZ=_itzM⊂itz=_j5~=⊂itzM itz= ju~]_j5~M j5~M j4zM_j5~M j5:M(j4z]0j5~=_j4zM ju~M(ju~=(ju:M j5:](j5~=(ju~M_iu~=_j5~M(j4z-_j5:] iu:M_j5~= j5~M(j5:m(k5z⎇(k5ZM(k5z⎇0ku{
Hlv[-Xg39Lhg39\hg3ylpgsy|pg39lxg3Y|pfsy|hgsy|xh4→|xh3Ylpgszxh3z
λhsy|xi4:≤ph4:≥gsy⎇h49⎇i4~≥h3Z
h3y⎇λhtZ≥λhtZ-i4:≥⊂i4:≥λhtZ
⊂ht~≥λh4~
λht:=λi4z
⊂h4:
λht:-λi4:≥⊂ht:-λh4Z
⊂i4Z-h4:-λht:
h4Z≤xi4z≥λi4Z-_ht:-⊂h4:xhtz≥gt:-⊂i4:≥λi4Z
λht~-⊂h4:-λhtZ-λhtZ-⊂i4:
λht~
htZ-λi4Z≥⊂h4:≥λhtZ-⊂i4:≥λht:-ht~≥htZ≥gt:=⊂htZ≥λj4z
⊂htz≥λhtZ=⊂htZ≥λi4Z≥_htz=_itZ≥⊂htZ≥_htZ-⊂h4~-⊂i4:-⊂itZ-⊂htZ-⊂i4Z-⊂itz-itz-λi4Z-_itz-λi4z≥λhtzM_itZ-_i4Z-⊂i4Z=_itZ=_i4:≥⊂i4Z≥λht:-λhtZ=⊂i4~
λhtZ-λh4:-_ht:≥λi4:
λht:≥⊂i4Z=_itZ-_ht:-λht:-⊂i4~
⊂it:
h4Z
h3z≤xh4→lxh4→⎇gsz
λgsYlpgsylxgsY⎇gsy|xgt→|pg3y|xg3ylxgsy\xgsZph4→⎇h3y⎇h49lxht9⎇h4:-h4~≥⊂ht~
hsz
gt:≥λh3z
h4:≥gtZ≥gt:
λht~
i4:≥h3z≥λh4:≥λh4~
λh4Z=⊂ht~≥λhsz
i4~≥i4Z≥λht~≥λh4:≥λht:-λht:-λi4Z
_itz-_i4:-_itZ-_itZ-⊂i4z=_it:= j4z= i4z-_i5~M_itz-⊂itz=_i4zM⊂gt:
⊂i4:≥λh4:-λhtZ-λht:
i4z-⊂htZ-⊂i4Z-⊂itz-_j4z-⊂itZ=_i4Z-⊂j4z=_j5:M⊂j5~M_iu~=_iu:M iu~M j5~M j5~M_j5:M j4zM(j4zMλh4~
⊂i4ZM_iu~= ju~M(ju:M(j5:M(jtz](ju~M_j5~M(j4zM j5~=_j5~M j5:=_j5~M(k5:] j5:](juZ⎇0ju:M(kuzm0k6~⎇@lv;-Pfs9lxf39\hg3Y|xgt→lpg3Y⎇gsylhg3ylpgt9|xgszxg3Ylhg3Y|xgt~
λht~
λitZ≤xgt~≥ht~
λhsy⎇ht~≥ht9mht~
λh4Z≥λh4:-λht:
⊂i4Z≥λht:≥λi4Z≥⊂h4:≥λhtZ=λi4Z-λh4~≥λht~≥λhtZ≥λi4Z-λh4:
⊂htZ≥ht:=λh4:≥⊂ht:≥λi4Z≥htZ≥⊂i4~≥λht:
htZ-gt~
i4:≥⊂i4Z≥λht:-λh4:≥⊂itZ≥⊂h4Z-λht~≥i4~≥λi4z-λi4:≥⊂ht:≥h4~≥λhtZ-λh4:-λht:≥⊂i4z-λhtZ-_ht:≥λi4z≥λh4Z≥λhtZM_i4z-i4:
⊂i4z=⊂i4z-⊂i4z≥λi4Z-λht~≥⊂htZ-⊂j4z≥λhtZ-λitZ-_itz≥λitZ-λi4:-⊂i4z-⊂i4:≥⊂i4z= itZ≥_i4z≥_i4z=_itZ=_itZ≥⊂it:≥λh4:≥⊂ht~≥λht~≥λh4Z-λhtZ-⊂i4Z
⊂i4Z
λht:-⊂i4Z-_itZ-⊂i4Z,xht:≥λht~
⊂ht:
htZ≥gsz≥h4→lxht:
gt~
gsy\xh3Ylxh4→|pg3Zxh4→|xfsy\ph4→lxgszpg4~≥gsy⎇h3z
λgt→⎇h4→|xh4:≥h3:
λi4:≥h4~≥λh4~
⊂gszxhtZ≥λh4Z-λh4:
ht:
⊂ht:-ht~
λh4~
h4:≥⊂ht:-_ht~
⊂i4:
λi4Z≥λhtZ-_i4:
λh4Z≥λht:-λhtZ≥⊂i4Z≥_itz-⊂i4:-_i4z=_itZ-λi4z=_i4z=_j4z=_iu~- i4Z-⊂itz-⊂iu~M⊂itzM_i4Z-λht:
h4~≥λh4~≥λht:≥λhtZ≥⊂i4:≥⊂i4:-_i4z≥⊂itz-_iu~=_i4Z=_iu~=_iu~M_itz]_i5~=_itz](j5:M_j5~M_j4zM j5~=(j5~M j5→⎇(j5~M_iu~M_iu~M(ju~M j5:M j5:M(iu~M k5~M_j5:] j5~M(ju~=_j5~M j5:-(j5~M(ju:M ju:] ju:]0ju:M0kuzm(ju[
@l6≠≥Pg3Ylxg3→lhg3→|xgsylpg3ylxh3y|xgsy|hft→⎇g3Zxg3y⎇gsy|xgsY⎇h4~≥h4~xh4~≥gsymi4~
λh4~
λh4:≥htZ
λh4:-λi4Z-λh4Z
⊂itZ≥λgtZ≥λi4z
⊂ht:≥λh4:-⊂htZ≥h4:-λht~≥⊂htZ-_htZ≥λh4:-λi4Z
λhtZ-⊂h4~-⊂ht~
ht:≥htZ
i4~-λhtZ
λht:
gt~
h3z
htZ-λh4:-⊂gt~≥⊂i4Z≥⊂htZ-λht:≥λht:≥λh4z-⊂ht:-⊂i4Z≥ht~≥h4:≥⊂ht~≥λi4~≥λi4Z≥λitZ≥λht:≥λi4Z-λhtZ-λhtZ=_it:≥⊂i4Z-_i4Z≥λhtZ=⊂i4Z≥⊂htZ≥⊂i4Z-_ht:=⊂itZ=⊂h4z=λi4Z≥⊂i4:≥⊂i4Z-⊂i4Z≥⊂itZ-⊂itz≥λitZ=_i4Z-_itZ=⊂itZ-λi4Z- it:-⊂i4z≥λi4Z≥λi4Z-⊂i4:≥λht:-λhtZ=_i4Z≥⊂j4Z-λhtZ-_i4~-_j4z≥λhtZ-ht:≥λht~≥λht~
ht~≥λht:≥h4→⎇h4~xgt~
h3ymh3ylxgt~xg3z,xgsy⎇g3ylpgsylxh3y⎇h3zxgt→⎇gsz
λh4→|xgt→|xgt~
gsy⎇⊂i4:≥h4:=ht~
λgsz
λht:
h4Z≥λh4~≥λht:
λh4~
ht:
ht~
h4~
λh4:≥λh3z
λht→⎇ht:
λi4Z≥⊂ht:
⊂htz≥λh4Z-i4Z=_itZ≥⊂itZ≥λi4Z= itZ-_j4z=⊂itzM_i4:-_itZ-⊂i4zM⊂itz=_htz=_iu~=_iu~M⊂i4:-ht:
λh4:-ht~≥⊂it:-λi4:
⊂i4~≥⊂i4:- itZ≥⊂itZ-⊂htZ=_j4zM ju~=_j4zM i4zM iu~=(j5~M j5~M(j5~M jtzM iu:M_itzM_i3Z
(ju~M iu~] iu:M j4z=⊂iu:M j5~M(ju:=_jtz=⊂itz] j4z]0j5~-_j5:] juZM(ju~](ju:M(j5:m0juZ]0k5ZM0kuz⎇0k5z⎇Hl6≠≥Pg3→\xg3Y|pg3→\pgsY|pg3Y|xg4→|xh3YlhfsY⎇gsy|xh3y|xh3zxgsy|xgt→|xgsY|xh4:
λgt→mλht~
h4~≥⊂ht:≥λh4:
ht:≥λhtZ-λh4:
λi5~-λh4:-λht:
_h4:-_i4~-⊂i4:≥⊂ht:≥⊂h4:
i4Z-⊂ht:
λh4~≥λht:
i4Z-λh3z-λhsz
λh4:≥⊂h4Z
λi4Z
htZ≥λi4Z≥λht:
λh4:≥h4:-ht~=⊂h3z≥λi4Z≥λit:-⊂h4~≥htZ≥⊂i4:≥h3z≥λi4:≥h4Z≥λhtZ-λht:-⊂i4:≥λhtZ≥λit:-_i4Z=⊂i4Z-⊂itZ-⊂i4Z-⊂itz≥⊂i4:-_i4Z=⊂i4Z-⊂itZ-λi4Z
λi4Z=_it:≥⊂i4:=⊂h4z-⊂h4:
_i4Z≥ht:-λi4:≥⊂i4Z≥⊂iu~-⊂itZ-⊂h4z-_j4Z-λi4z-htZ≥_ht:
⊂i4z≥⊂i4z-⊂i4:-_i4:-ht:=⊂i4Z-⊂htz≥⊂i4Z≥λi4Z-_i4~-⊂htZ≥⊂htZ-λhtZ≥⊂i4:
ht~
h3zxht:≥λh4:
ht:≤xh3y⎇h4~
h4→|xg49|xgsz
g3Ylpg3y|xgt→|xgt~
h4→|xh4:
h3y|xh3y|xgsy⎇λhtZ
h4~
λht~
ht:≥λht~≥λh4~
λht:
h4Zxh4Z≥i4~
h4:
h3z
⊂i4~
λh4~xh4~
λh3y⎇⊂i4~
ht~
ht:≥λht~≥⊂i4Z≥λhtZ-ht:≥_i4:-_itz-⊂i4Z= it:-⊂itz-⊂j4z=(i4:- j4Z-⊂htz] itz=⊂i4z-_itz=⊂i4zM_ht~-⊂ht:
λh4~≥λht:-λit~≥⊂i4z≥λi4Z-htZ- itZ≥⊂iu~= itZ= j4Z- j4z=_iu~=_itz= j4Z= iu~=(j5:](j4Z=⊂j4z=_j5~]_iu~=(j5~=_j5~-_j5:]0j5~](j5~-_i5~= iu~M0j5~M(j5:M⊂j5~= iu~M k5~=_ju:] ju:M(j5~]0ju:](j5:m0k5:]0juZ]0kuz]8l6≠
Hl5{≥Pg39Lhg3Ylpg39\hgsy|pfsY|xgsylpg3y|pg4~xg3zxgsylxgszpgs9mh4→⎇ht~
h4:≥h4~
λht~
λi4:
λht:≥h3z
λhtZ
htZ≥λht~≥λhtZ≥λht:≥λht:≥_ht:
λht~-⊂htZ=⊂i4Z=⊂ht:
λht:≥λhtZ≥λh4~-⊂ht:
λi4:-λh4:-⊂h3z≥ht:≥⊂h4:≥ht:≥λhtZ≥λht~≥λht:≥λhtZ≥λhtZ≥λht~≥λh4~≥⊂htZ≥λhtZ-⊂ht~
λi4Z-⊂htZ≥⊂ht~-λh4:≥λh4Z
λit:-htz≥λi4:≥λhtZ-λhtZ-λhtZ-⊂itZ
λitZ-_i4Z= it:-⊂itZ
λi4z=⊂i4Z≥⊂itZ≥λi4Z≥λht:-⊂htZ≥⊂itZ-⊂htz=⊂htZ=⊂i4Z≥htZ≥λht:-⊂ht:-_i4z-⊂i4Z=⊂h4:=⊂itZ
λht:-λi4z-⊂htZ≥⊂i4z≥λi4Z-_i4Z=λht~≥λi4:-λi4:-⊂htz=⊂ht:≥⊂htZ-⊂i4:=⊂i4z-i4z≥λh4:≥⊂ht~
λi4:≥λht~≥h4~
⊂ht~
gsy|xh4~
gt~
h4→⎇gt~xgsy⎇gsy|xh3y⎇gsz
h4:≥λh4→⎇λh4:≥gt→⎇λh3y|xgt~
ht:xh3z≥λi4:≥⊂htZ≥h4~≥λi4:≥λht:=λh4:≥htZ≥i4:
ht~≥h3z
λi4:≥λh4~xh3z
λh4~≥λht~
λht:≥λht:≥λi4:≥λhtZ≥htZ-⊂i4:
⊂ht:≥iu~=⊂i4Z= i4z=_itz-⊂iu~=_i4Z= itz-⊂i4z=_i4Z-⊂i4z- itzM_j4z=⊂ht:≥⊂i4:≥ht:≥λhtZ=⊂i3z≥⊂i4Z-λi4Z=⊂htZ-⊂i4Z-⊂i4z-⊂i4z-_i4Z-λi4z-⊂iu~M_j5:= jtz=(j5~=_j5~] j4Z= j4zM⊂iu:M iu~= j5~= j5~= j5~M iu~M(k5~- iu~M iu~M(itzM j5~M_j5:=_ju:= ju~- j5~]_juz] ju~M0ju:] k5:⎇0k5Z](k5Zm(k5Z]8ku{
Hlv[-Pg3Ylhg3Ylpfsylpg3Ylpg39⎇gsy|ph3Ymgsy|pg39lxgsy\pg3z
gsy]ht→|xgtZ≤xht:-⊂gszxh4:-htZ≥g4~≥λhsy⎇λht:
λh4Z≥⊂i4:≥λi4Z
λhtZ-i4Z-⊂i4Z≥λht:
htZ≥λitZ=⊂ht:=⊂htZ
h4~≥λht~-_i4Z
λhtZ≥λgt:≥λht~xhtZ≥λi4:≥h4:-⊂ht:
λi4Z-λht~≥⊂htZ
htZ-ht~≥⊂ht:≥_htZ
λht:=⊂i4~≥λht:
⊂i4:≥⊂htZ≥λht:≥λht→⎇i4:≥λi4Z≥⊂i4Z-⊂ht:=λht:≥λh4Z≥_i4z
λitz-_i4~=_i4:-_i5~-⊂i4z≥λi4Z-λht:≥htz-⊂h4:≥⊂ht:-λht:≥λhtZ-_i4Z-_iu~xhtz-λhtZ=_ht:-_itZ-⊂i4z-⊂i4Z-_itZ≥⊂ht~-⊂htZ=_i4:-⊂i4z=htZ-_itZ=λht~≥⊂i4:-λi4:-⊂htZ=⊂i4Z-⊂itZ-λi4Z-λhtZ
λitz-h4Z≥λh4~
ht:≥λht~-λht:
λhsz
h4→lxht~≥h3zph3Y|pgsZ
gsZ
λh4~xh3y|xg3y|xh4~
h4→⎇h4~-h3z
h4→⎇gt9⎇gt~
gsz≥λht~
htZ≥λh4~≥λi4:≥λh4Z-λh4~-λgtZ
λht:≥ht~≥λh4:≥λht:≥λht~
λhsz
λh4~-⊂ht:
λi4:
h4:≥λht:≥⊂itZ
h4:≥ht:-⊂i4Z≥λitz-⊂ht:-_itzM_itz=⊂itzM_i4Z= j4z=_itz=⊂i4z-⊂htZ=_j4z= j5~M⊂h4:-⊂i4~
λht~
λhtZ=λi4Z≥⊂ht:≥i4Z-_i4Z-_it~-_i4z≥λhtz-_i4:-⊂itZ-⊂itz=⊂i4z=_j5~=_iu~] j5~M i4z= j5~=_j5Z](j4z=_j5~- j5~=_j4zM iu~M(ju:M_j5:M j5:] itz= j5~= iu:] ju~M jtz= j5:M⊂juzm(ju~M(ju~] ju~](ju:]0j5Zm k5zm8kuz⎇@l6[-Xg3Y|xgt→|pg3Y\hg3Ylxh3Y⎇h3y|pgszxg3Zxg39|xhsylxg4→|pg3y⎇h3ymh4:ph4:≥h4~
h4~≥λhtZ≤xgt~≥λht~
λht~≥λhtz-⊂h4:
⊂i4Z≥λhtZ=λht:≥⊂ht:≥htZ≥⊂i4Z-ht:-λi4~-λi4:≥ht:-htZ≥λi4Z≥λhtZ-λh4:≥λi4:≤xht~≥i4~
htZ=λht~≥htZ-h4:≥λi4Z
⊂ht:≥h4Z-⊂htZ
⊂htZ≥⊂i4:=⊂ht~-λh4Z≥λi4Z-h4Z≥λh4:≥⊂ht:
λi4z-λhtZ-⊂htZ-_ht:
⊂htZ-⊂i4:
_i4:≥⊂htz-⊂htZ-⊂i4Z-⊂i5~-⊂i4z-λi4Z-λhtZ-λhtz-λht:-⊂i4:-⊂itZ-λhtZ≥⊂i4Z-_itZ-itz-⊂i4Z-_i4:≥⊂i4~-⊂i4z=⊂htz=_i4Z-⊂i4Z-λh4z= i4~-⊂itZ-⊂htz=⊂i4Z-_i4Z≥λi4:≥λi4Z=_htZ-⊂j4Z-⊂htz≥λht:-⊂itZ≥λi4:-h4Z-λh4:-i4:
htZ-λh3y⎇λht~
ht:
h3z
h3zhg4→|ph3y|xgsy|xgszxh3y|xg3y|xgt→|xht:xh4~
h4~
gt~
gt9mh4~
h4:≥λht→⎇h4:≥λh4:-⊂ht:≥λhtZ
⊂h4:-λh4:≥λht~
i4:
λgt~
λh4:≥λi4Z
h4~
h4→⎇h3z
λht:
λhtZ-λh4~≥λhtZ≥λht:≥λh4:-⊂i4:≥λitz-λi4Z= i4Z= itZ-λiu:M⊂iu~M j4Z=_itz=⊂i4Z-_htZ=_i4z=_itz]⊂ht:-λi49⎇⊂ht:
htZ=i4Z≥λi4Z
⊂it:=λht:≥⊂i4:≥ i4Z-_itZ-⊂i4Z=⊂j4z-_itz=⊂i4ZM_iu~=⊂iu~= iu~] i4zM(j4z-⊂j5~M i4z=(j4z= j5~M_itz]_i4zM(j5:M_j5~M j5~m itzM(ju:M iu~M j5~M itz= juZm_iu:](j4zM(ju:M juZm(juZm0j5Zm0k5zm8k5z⎇Hl6;
XgsY|xgsylhg39\hg3YlpgsY|xh4→|xgt~xht~
gsYmh3Y⎇λgt:≤xh4:≥hsy|xh4:≥λht:
g4~≥λhsy|xh4~≥λgt:-_ht~≥⊂ht:≥htz-λh4:≥⊂i4Z≥gt~≥λht~- ht:-i4Z≥i4Z-λhtZ-ht:≥h4~≥λh4Z-⊂htZ≥λhtZ≥htZ≥λgt~≥ht~
ht~≥ht~≥h4Z≥λht~
h4Z-λh3z≥λhtZ
i4z-λh4:-⊂i4Z
⊂h4:-h4:≥λh4Z-⊂ht~≥⊂ht~
λh4:-λht:-λhtZ-λht:≥htZ-λhtZ=⊂it:-λi4Z≥λht~≥⊂i4Z-⊂i4z=λi4~=_htZ=_htz-λi4ZM⊂i4Z-i4:≥⊂i4z≥λhtZ=⊂i4Z-λi4:-⊂itZ≥λi4:-_itZ≥λitZ-⊂h4~- i4Z
λi4~≥λhtZ=⊂htZ-_i4Z-⊂i4z-⊂htZ-_i4:≥⊂i4Z-⊂i4z=⊂htZ=_i4:≥λitZ
λhtZ-⊂ht:≥⊂itZ≥⊂i4z-λht:-_i4Z≥⊂ht:≥htZ=⊂i4:≥λhtZ
htZ≥h3z≥ht:xht:
gt→⎇gt9|hg4~xhsy|pgsy⎇λgsz
h4:xgt~
h3Y⎇λh4Z
ht9|xh4~xh3y⎇h4Zxh4:
h4:
λhsy⎇λh4:
i4:-⊂ht~
λh4Z≥⊂ht:-λh4:≥λht:xht:≥λh4:≥λh3Z
ht:≥h4:
λi4~
λhsy⎇λht:≤xht:≥⊂ht:≥λht:≥_i4:-_ht~≥⊂i4:≥λi5~=htZ-_j4Z-_it:≥⊂j4z-_itz=_j4z-_iu~=⊂i5~= i4Z-⊂iu~-λitzM⊂i4Z-λi4:
⊂i4Z≥λhtZ=λht:
λi4Z≥⊂ht:-λht~-⊂htZ-_i4:≥⊂i4Z≥λi4z-_itz=_i5~=_iu~=_itz-_j5~M_iu~M itzM_i4z=_iu~= itzM(itZ=⊂j5~M j5:m(j4z](j4z=_j5:] j5:m itZM j5~=_j5~M iu~](j5:M j5:]_itzM j5~M k5:M_ju:]0ju~]0j5~m0k5Z⎇0k5z⎇Hlv;
Pg3Ylxg39lhg39\hg3y|pgsY|xg3ylpgsylxh3z
gsy|xh3z
h4→|xgt~-h3Y⎇h4:
ht9⎇g3Z
ht9|xht:≥gt:-⊂ht:
⊂h4:≥htZ≥h4→⎇htz=⊂i4:≥λi4:≥_ht:≥⊂htZ≥λht:≥⊂htZ-λht~-i4Z≥htZ-⊂ht:
⊂ht:
λht:-gsz-λgt~
h4~≥λh4~-λht:≥λht→⎇h4Z≥λht~≥λi4Z≥λi4z-λh4~≥λht:
λhtZ-ht:≥⊂h4~≥λh4~
λit:≥λh4Z=λi4Z-λi4Z≥λi4:≥λi4Z-⊂ht:≥λh4Z-λi4z-λh4:-⊂it:-⊂it:-λht:=_i4zM⊂htZ≥λi4Z=⊂h4Z≥λi4Y⎇i4z-⊂i4Z=_i4Z-⊂i4Z-_i4Z-⊂i4:≥⊂i4:≥i4Z≥⊂ht:≥_ht:
⊂i4Z≥λi4Z-⊂htZ=λi4Z-λht:-⊂i4Z-_i4Z-λht~-⊂itzM⊂i4ZM_i4Z-λi4z≥λhtZ-_it:≥_itz=⊂i4z≥h4:=_itz≥⊂ht:≥λhtZ-⊂ht~≥λi4Z≥λi4Z-h4~≥ht:≥h4:≥h4→|xgt→|xgt~
hsy|pgt→⎇g3y⎇λht~
gt:≥ht→⎇h4→lxh4:xh3z
λht~
λht9|xh4:
h49⎇λht~
h4:-ht~≥ht→⎇λh4:≥λht~-λh4:≥λit:
ht:-ht:
λht~
λi4:-λgtZ
λh4→⎇λhsy⎇i4:-ht:
ht~
ht:
λht:≥⊂i4Z-λi4~
λi4z-λhtz-_j4z-_i4Z≥_itz≥⊂i4:=_j4z=_j5~=λhtz- itZ-_itz=⊂iu~=_it:-⊂ht:≥⊂i4Z≥htZ-ht:≥λi4Z≥λhtZ-λhtZ-h4Z-_i4Z-⊂htzM⊂i4z-⊂i4z-_i5~M j5~M j5~= i4Z]_iu~M(itzM_j5~=_itz= itz= itz= ju~M iu~M_j4zM(ju~= ju:M_iu~](itZ=_itz= j5~M iu~M ju~= j5~] itzM0ju:= ju:M_ju:m0ju~m0k5:](k5Z]0ku{
Hl6;≥Pfs9lpfsYlph3Y\pg3ylhfsylpfsylxgsy|pgszxg3Zxht→|xgt→|xg3zxg3YmλhtZ
ht→|xg3Z
h4→⎇ht~≥gt~≥λh49⎇λh4:xht:-λht~
λht:-i4~
i4Z-λi4:≥⊂htZ-ht:
λh4:-htZ≥λi4z=λi4Z≥⊂ht:≥ht~
λht~
gsZ≥λht:≥λht~
h3z≥⊂ht~≥λht9⎇λht:≥λh4:≥λht9⎇λi4Z-h4~≥λhsz
i3z
h4Z-λht~≥λh4:
h4:
λht:=⊂htZ-h4:≥λht~≥λhtz-⊂htZ≥λh4Z≥λh4Z≥⊂ht:=λi4:≥⊂i4:=λh4:≥⊂htZ=⊂ht:≥⊂itz-⊂ht~≥λi4:≥itZ=_htZ=_i4:-⊂i4z-⊂htZ=⊂ht:-⊂i4~
⊂itZ-htZ≥_i4:≥λi4:
λhtZ=⊂htz=_htZ-⊂i4:=λi4:=_htz-λi4Z= i4z-⊂i4:-⊂i4:≥λi4z=λht:≥⊂htZ≥ itZ-⊂i4:≥λhtZ-⊂i4:≥λh4Z≥⊂ht:≥λht:≥i4:
⊂htZ-ht:-h4:
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h3z
gt~
g3y|xg3zxgt~
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htZ-λh4:-λht~
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htZ≥⊂i4:
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h4:
λh4:≥λhsz
ht~
htZ≤xgt:
λht:
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λh4Z≥ht:≥i4Z≥h4Z≥λitzM⊂i4Z= i4z-λhtz=⊂i4z≥⊂itz=_itzM_itZ= j4zM_j4zM itz]_i4Z=_iu~= j4z](j4zM j4Z= j5~M_iu~]_itzM j5~= j5:M_iu~= j4zM j5~=_iu~M(j5:](k5~=_j5~M itzM(j5:](j5:M ju~] j4zm0k5Z](k5zm0k5{
@l6;-PfsYlhesY|ph3ylpg3Y\pfs9lxfsY\pfsy|pg3y|ph3zxht→|ph4→|xh4→|xgs9lxh4~≤xh4→|xh3Z
gsz
λh4~≥gt:≥λht~
λh4~≥htZ-λht~≥⊂ht:≥λht:-h4:-λh4Z-_i4Z-ht:≥i4:-λht:
λi4z=λi4:≥⊂it:
λh4~
ht:-λh4~≥⊂hsz
h4~≥h4:
⊂h4:≥λhtZ
i4:≥λh4~≥ht9⎇λhtZ-λgt~≥λht~
ht→⎇ht~≥⊂h4:≥λi4:≥λh4:
h4:-⊂h4~
λh4:≥λi4:-λht:=⊂it:
λhtZ-λhtz-⊂i4:-λi4z≥λht:=htZ-_i4:-λht:-⊂i4z=_i4:-⊂i4~≥λi4z-λhtZ=⊂ht:-_j4z≥λi4:=⊂ht:≥λhsz
_i4Z≥λi4~≥λhtZ-⊂itZ-⊂i4Z-λhtZ=λhtZ-_j4z=_htZ-⊂htZ≥⊂htZ-_htz-⊂i4Z-⊂i4~
htZxhtZ-⊂ht:-⊂ht:≥λi4:≥λh4Z-⊂j4Z-⊂i4Z-⊂htZ≥i4Z
⊂it:
h4Z-h4:-λh4:
λht:
λh4~≥gsz
g3ylph4→|xgsz
g3Y|pgt→⎇λgsz≥gszxg3ylpgt~
h4→⎇λh3ymh4~
ht:≥λh4~
λhsz
gt~
λh4~-λi4:
λh3z
h4~
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i4:
h4~
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8l6≠≥XfsYlpfs9|pg3ylpg3y|xfsY|xg3y|pg3Ylhfsy|hg3Ylxh4→|pg39|pg3Y|xgsY|xh4~
λh3z≤pgsz
gsy|xh4→⎇λhtZxht:≥λht:≥λht:=λh4~
λht:
λi4:≥λh4Z-⊂h4:-⊂htz-λh4:-⊂i4:≥λht:
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i4Z=λgt~
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h4:≥λht:≥λht:
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λht~≥_i4:≥ht:≥h3z
h4→⎇λh4→|ph4~
λh3YmgsYlpg4~
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λht:-htZ=_ht~≥λi4Z-i4z
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⊂i4~-_i4:≥λi4Z-⊂i4:≥⊂i4Z=⊂htZ=⊂htZ-_i4~≥⊂ht:≥λht:-λi4:
λhtZ= ht:≥⊂htZ≥⊂i4z-⊂i4:≥λi4z≥λitz-⊂i4:-λi4Z
λhtZ≥λi4:-_it:≥⊂it:≥⊂ht~≥λi4:≥⊂i4Z-⊂htZ-⊂ht~≥_i4Z-⊂i4Z≥i4z≥⊂i4~≥⊂ht~≤xh4~≥h4:
h4~
gt~xh3Y⎇ht~xgsYlpft~xg3y⎇h3ymh4→mh3zxgsylxh3z
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λht~-ht~
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Pg3Y\hfsZ
h39lxgsy⎇g3y|xg39lxgsYlpg3Y⎇λg39lpg3Zpgt:xgt→mh4→|ph4~xgt:≤xg3Y⎇λh3y|xht:≥g4:≥ht→⎇λi4Z
gtZ-_ht:-λitZ≥htZ≥htZ
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λi4Z≥λi4Z=⊂i4Z-⊂ht~
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gt:-gt~
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λitZ-⊂htZ≥⊂i4Z-⊂i4Z-_itZ=_itz≥⊂j4z≥⊂itZ-_i4Z-_itZ=⊂htzM⊂h4~≥λi4:≥⊂ht:≥⊂ht~≥λh4:-λi4Z
λhtz
λh4~≥⊂itZ=λi4Z≥λht:-λi4:=_j4Z= ju~M_itz=_i4Z= j5~-_j5~M_i4ZM_itZ-_iu:M j5~](j4z-_j5:=_i5~] iu~= j4z=_j5~-_itz] j5~=_iu:M j4zM j4z= juZM j5:=_j5:] j5~=_j5~M⊂j5:] iu~] iu~M k5Z⎇8kuz⎇Hl6;≥Xg3Ylxg3Y|xgs9l`fsy\xgszxgs→|pgsY|pg4~
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λht:-λh4:-⊂ht9⎇ht~
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h4:
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⊂ht~≥λhtz-_it~
λi4:-_itZ
λi4Z-⊂i4Z≥λi4Z-⊂itz=_i4~≥λhsz≥λi4Z-⊂htZ-⊂i4z-⊂itZ≥i4~-⊂htZ≥⊂i4Z≥⊂i4:≥htZ-⊂h4~
λht:
ht:≥λhtZ-⊂i4Z=⊂itZ≥h4:≥⊂ht~
λit:≥i4~≤xgt~xgt→⎇⊂h4:
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λgsZxgsZxh4~xgsz
λg4~xh3Ylpgt→lpgsz
h3Ylxh4Z
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λht:
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h4:-gt~
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λi4:
λi4z=_i4Z≥⊂i4:-λi4Z=_itZ-_i4z-λj4z≥⊂itZ=_i4Z= itzM_i4Z=⊂ht~
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⊂ht~≥_htz≥⊂i4:≥λh3z≥htZ≤xht:≥h4~≥gsz
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λht:≥λhtZ≥λi4~
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ht~=⊂h4Z=_i4:≥⊂i4ZM⊂ht:-⊂ht:≥λhtZ-λh4:-⊂i4z-⊂i4z-i4Z-_h4Z≥⊂htz≥λit:≥h4:≥λht:≥λi4:≥htZ=λi4Z≥⊂i4z≥λhtz≥h4:
h4~≥λi49⎇λht:≥gt~
h3y|xgt→⎇h3y⎇λh3zxgs9lxfsy|xg3Zxh3y|xgsylxgsY|xh4→⎇hsy|pgsy|xh3z
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ht:xgt~
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Hl6;
Pg3ylxgsYlpg3Ylxh3Y|hg3Ylxg4→lxgsYmgsylxgt→mg3ylxgt→|xg3:
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gsY|xg3z
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⊂i4:≥λi4Z-λht~≥λhtZ≥λi4Z≥h4:≥⊂ht:≥⊂ht~≥λi4Z-λi4:-⊂htZ=λi4:
h4~≥h4:≥λit:≥⊂htz=⊂i4:≥λi4:≥λi4Z-λh4Z-i4Z≥ i4Z≥i5~M_i4Z-λhtY⎇λit~-ht:≥⊂itZ
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⊂itZ≥λi4Z,xh4:
h4:
⊂h4~
λht:≥h3y⎇h3zxh4→|xh4~
λgsYlxh3ymg3ylpgsY⎇gsYlpg4→|xgsylpgsylph3y|xh4~
ht→|xgsylxh4→|xgt:-h49⎇h4:
ht:-⊂h4:-λhtZ
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g3z
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λi4Z-λht~≥⊂i4z-htZ-λi4Z-⊂i4Z≥⊂i4Z≥λh4Z-⊂i4:≥_i4Z≥λhtZ=⊂itZ-⊂ht9⎇λi4:≥ht:≥λi4Z
λht~
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h3y|pg3Z
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h4Z-λht:-_i4Z≥⊂i4Z≥λi4Z-_htZ=_itZ≥_itz≥⊂it:M itzM_j5~=_iu:]_itz-_ju:M iu~M_itz= j4zM j5~M i5~M j5~] itz=⊂iu~=_j5~](j5~M j5:=_i4z=⊂i4zM(j4zM_ju~M iu~M(j5~= ju~M ju:M(ju:m(ku~]0k5:m0k6≠
@kv≠
Pg3YlhgsY\xgsY|pgsy|pg3Y\ph3zxgt→l`fsY]gs→⎇gsYlpgt9|xgsymg3ylpgt9|ph4:xgsy⎇h3ylxgt~≥h3z
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⊂i4Z≥⊂itz=⊂i4:=⊂ht:≥λht:,xh4:≥⊂ht:≥λht→⎇i4Z-λht:≥λi4Z≥λh3z≥h4Z-λh4~≥λht9|xhtZ≥h4:
λhsZxh3y|pgt→⎇gt→lxh4~
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@l6≠≥Pgsy|xg3ylxg3Y\ph3y|pg3Y|xh3zxg3Yl`fsYlxgsYmgsY|hgt→|pg39⎇λg3Ylxgt~xgt9⎇gsy⎇λht~
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λi4~
ht:
i4Z≥i4~≥⊂itZ≥it:-⊂i4Z-⊂ht:-⊂htZ-⊂ht:-⊂i4:-_itz=_it:-⊂itz≥⊂ht:= j4zM_j4z=λht:-_it:≥λh4:,xh4:
λi4:≥⊂i4:≥λht~≥λht:-_it:≥λht:≥λh4~-_htZ-⊂itZ≥⊂i4zM_i4Z=_iu~=_j4z-_itZ=_itz-⊂j5~M iu~M j5~M j5~] j4z=_j5~= j4z- j4Z= j4zM itzM itz= itz= j5:M_itz=_ju~=⊂itz=⊂iu~= itZ- j5~= j4zM j5~M j5~]0j5:](k6≠≥0kv≠≥Hf2y|pfs9lxgs9lxgt→|xgsY|xh39lxh3y\xg39lxh3y|xh4~
ht:pg3z
λgsylxgt→|pg4~
gszxhsz
λh4~
h4~
λh4~≥λht:≥gt~
g4:≥λg4~
i4~
gt~-λh4:xh4:≥i4:≥λht:≥ht~
i4z
λi4:-ht~
h4:xh3Z
λht~≥h4→mitZ≥h4~xh4→⎇λh4~
h4:≥λgsz≥⊂htz
λi4:≥gsz
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λgt→⎇h4:xh4:
λh4~
ht~
λht:≤xhtZ-λitZ≥λi4Z≥h4:≥λi4:≥⊂ht:≥λht:≥⊂i4Z
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ht:=ht~
⊂i4:≥λi49⎇ht~≥h4~≥h4:≥λhtZ
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λitZ≥h4Z-⊂ht:
λhtZ≥ht:=_ht:-_ht~
h4:
h4:-λh4:-ht:
λht~pg4:
h4~≥i4~pht~≥h3z≥λht~
λht~≤xh4~
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h4~ph49⎇g3Y⎇h3Y⎇gsY|ph3Y|xg3z
λg3y|xgsy|hgt→mλh3z
h4→|xht~
h4:
h4→⎇i4:xgt~≥h4:≥λht:
i4:≥gt~
λh4~≥λi4:≥⊂h4:-ht:≥λi4:≥λi4~
λh4~≥⊂it~
λh3z≥λhtZ≥⊂h4:≥ht:
htZ-ht:-_i4:≥⊂it:≥⊂ht:-⊂ht:=⊂it:- i4Z=⊂i4Z=_i4:= jtz=⊂j4z=⊂h4:≥λit9⎇λi4:≥h4~
⊂ht~≥⊂i49⎇i4Z-λi4:-⊂htZ-λit:≥λht:-_i5~-⊂i4z-⊂i4z=_i4zM itZ-⊂itz=_iu~=_itz- ju~= iu~] j4z= itzM j5~=_j5:M j4z=_itz= j5~= itzM⊂i4Z= j4z=_i5~M_itZ- j4Z-⊂i4z=_iu~M ju~=(itz=⊂itzM_j5~M(k5:M(j5:]0juz⎇8l6≠≥Pgs9lxg39lxg39lhg3Yl`fs→\xgsY⎇h3ylpg39lpgsY⎇gsy⎇h4:pfsz
λh4→|pg4~pgt~
gsz
hsy⎇h4:xhsz≥h3Y⎇λht9⎇h4Z-λgtZ≥λi4:xh3y⎇⊂h4:-⊂i4:≥h4:≥ht:
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ht~
λht:
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λh4:≥λgsz
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gsy⎇gsy|xgsY⎇hsy|pg4→|xgt~≥λgt~
h49mht~xgsz
gsz
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λht:-ht~
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λht→⎇⊂ht:xh4:-h4~-λht:xht:≥λh4~≥gsz
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λh3z
λh3Y⎇i4:xh4→|xh4~
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λht~≤xhtZ-h4~≥λh4~≥⊂it~
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h4:
h4:-⊂i4:≥ht:
λht~≥h4:=⊂ht:-⊂it~
λh4:-λhtZ-_j4Z≥⊂it:M⊂i4:=_i4Z= itzM_i5~=⊂i4z-⊂iu~M(j5~m j4zM_iu~M(j4Z= itz=_i4z= itzM_i4z=⊂itZM(itz=_j4Z= iu:=_i4ZM j4zM_itZ-_j4z=_i4Z=_j4z=_itz= ju~=(juZ]0ju:m0k6~m0kv≠≥Hf3Y\hfsY|xgsY|pgt→|xg3y⎇g3Y|ph3y|xgsy|pg3y|hgsYlxh4→|ph3ylxgsYlxh3y⎇h4~≥λgsz
λgt→|xh3y|xgsy⎇g4~
λhsy|xh3z≥htZ-λh4:≥h4Z-λh4:-λht:≥λht~≥h4~
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h4:xgt~≥gt:≥λh4~
ht~
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λh4→⎇ht→⎇λh4:≥λgszxgt~
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h3z
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λht:-⊂ht:=htZ≥_ht:
λi4:
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λht:≥h4Z-⊂ht:≥⊂htZxh4:≥⊂h4:
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λht~
λht:≥λht→⎇h4Z-λh4~
λht:≥h4:-λht:-λht:≥h4~≥λht→⎇λht:≥λi4~≥λht:pgt~-⊂ht→⎇h4:
gt→|xh4~
λh39lhgsylhfsY⎇λh4→|xh4~xgsy|xfsylhg49|pgt~≥h3y|xgsy⎇h4~
gsz
h4~
λhsy⎇gt→|pht:≥g3zxgt~
htZ≥h4:≥λht~
h4Z≥ht:
ht:≥λi4:≥λhtZ≤ph3y⎇ht~
⊂i4:≥ht:≥λh4:≥h4~≥ht~≥i4Z≥⊂i4:≥λi4z≥λh4Z-⊂i4~-_ht~
λht:-λi4z-⊂itz-i4Z-⊂htZ=_itz= j4z-_iu~-λht:≥λht~
λhtZ≥h4~≥λh4:-i4:-_i4:≥⊂gt:=⊂h4:≥λitZ-⊂htZ-⊂i4Z=_itZ=⊂itZ-_itZ= i4:
⊂j4z= htzM iu~M_itzM j5~=_j4zM j4zM_j5~M_i4:=_htZM itz= j5~M_itzM_i4Z-⊂itZ= j5~M_itz-⊂itZM_itzM_itz] itzM(j4z=⊂itz-_itzM(j5:M(juZ](k5zm8l6≠≥Xg3Y\hg39lph3Y\xgt→mg3y|xg39\ph4→|pgt9|pg3y\ph3Ylxh3Ylpgt~
h3ylxh4~xh4~
gt~
λh49⎇fsz≥gsZxg4→⎇λht→|xhsz≥ht~≥λh4~
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i4:
λht~-⊂ht:≥λh4Z
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h4~
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λh4:≥h4:-λht:≥λi4~≥λh3y⎇ht:≥λht:=λh4~
λi4Z≥ht:
λh4~xhtZ≥λht~≥gt9⎇λht~≥⊂i4:-λhtZ=⊂ht:
i4:
λi4Z-λht:≥λht~
ht:
λhtZ-λht→⎇λht~
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λht→⎇h4~xgt~xgsZxgsylpg3Y|pgsy⎇λgsy|pgt→|xgsymgsy|xgt→mh4:
g3Y|xh3y⎇gt~
λgt→|xgsz
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λht:
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Hg39\hfsYlxgsYlpg39lxh3ylxfsY\hg3ylpgsy|pgsy|pgsy⎇ht→|xh3z
g3ylxgszxh4:-h4~≥λht:xg4:xgt~
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λh3y⎇h3ymgszxgt~xgsy⎇h3y⎇λht~-λh4~xgsz
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⊂ht→⎇λht:≥λgsz-λh4Z-⊂i4Z≥⊂h4~≥λht~
λht:
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h4Z≥λht:≥h4~≥i4Z≥λh4~
ht:
⊂h4:≥λh4:≥i4Z≥⊂i4~≥λht:≥htZ
ht~
λi49⎇ht:
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λht~≥λht:≥ht:
λi4~
λht:≥λht:≥λht~≥h3z
ht~≥ht~
λi4~
λh4:≤xg3zhgsYlph4→|xgsY|pg3Y\xg3Y|pgsy⎇g3z
gs9|xgsy\ph3z
h3y⎇h39\pgsylxh4~≤xgt~
h4~
λh49⎇gt~
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λht→mh4:
h3Y⎇λht→lxh4:≤xg4~
λh3z≥⊂ht:≥λht:≥gt~≥λh4:
i4Z-λhtZ
λht~≥h4:
λht:=ht:≥_i4:≥λi4Z≥⊂i4Z-⊂ht:≥λi4:-_i4z=⊂htZ-_itz-_iu~=⊂itz-⊂itzM_j4zM j4z-λh4:
h4→⎇i4:xgt~≥⊂h4:≥λi4~≥_it:=⊂ht~-λht9⎇i4:-⊂h4~-λh4Z-λitZ-⊂itz-⊂i4Z=_itZ=_j4z=⊂iu~M itZ= j4z= iu~= itz= jtz≥ ju:M j4z= i4Z-_ju~=_j5~M_i4Z=_itz-⊂i4zM_iu~=_itZM itZ= i4z= j5~= it:-_iu~M_itZ-_itz= ju~= ju~m(k5z⎇0l6≠
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λi49|xgsz
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ht:≥λht:
htZ-λh4:≥h4~xht:
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λht:≥λhtZ-⊂ht~≥i4:≥λh4~≥ht9⎇λitZ≥_ht:≥⊂h4~≥λgsz
λht:≥λht→⎇λh3zxi4Z
g4→|xgsYlxgsy|xh3zxg3Ymgsymgsy|xgsZ
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λi4:-⊂htZ≥λi4Z≥⊂itZ=_itz-⊂h4:-⊂i4Z≥_i4z-_iu~=_iu~M iu~M j4z-λht:
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λi4:
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λht:
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λi4:≥_gt:-⊂ht~≥λh4~≥λh4~
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⊂i4Z-λh4~xh4:≥h4:≥⊂ht:-⊂i4z-⊂i4~-⊂ht:-htzM⊂i4Z≥λi4:≥λit:=⊂i5~M_i4Z-⊂it:-⊂itz-_itzM_j4zM_iu~=⊂itz=⊂j5~M i4z= ju~=_i4Z- j4ZM iu~M_ju~M_itZ=⊂itz=λi5~-_itZ=_itz= itZ= itz-⊂itzM itz-_itz-_j5~M itz= j4zM(ju~] j5Zm0ku{
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ht:
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λi4Z≥⊂j4z-⊂i4z-⊂i4:-⊂htZ≥⊂itz=_iu~-⊂it:≥_j4Z-λiu~=_i4z= j5~=⊂it:=_i4z=_j4z-(j5~] i4z]_itz=(j4z=_j5:]_j4z=_itz≥⊂itz=⊂i4ZM_i4z=_itz=_itz= itz= itz=_i4Z-_itzM j5~M ju:M ju:](juZm@kuz⎇Hf3ylpfs→lhfsy\hg3Zxh3ylxg3Y|xgsylxh3ylxg39|xgs9Lpgt:xgt~≥g3y|xht→⎇λgt~
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⊂i4Z-htZ=⊂h4:≥⊂i4:≥⊂i4:-λht:≥ht~
ht9|xgt9|xg3z≥h3Y⎇ht→|xh4:≥λh4→⎇λi4~xgt~≥h4:≥λi4:
ht~≤xh4~≥⊂htZ-λhtZ≥gt~-h4~
λhtZ
htZ≥⊂i4:≥⊂ht:-λhtZ≥⊂i4Z-h3z≥h3y⎇h4Z≥λh4~≥⊂h4~≥h4:xhtZ-⊂ht:-λhtZ-⊂htZ≥⊂htZ-⊂i4:
λht~≥λi4Z-λh4Z-_i4:
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Pfs→\hf2y\hg39lhg3ylpg39\`g3Y\hfs→\xgsYLhg3ymg3Ylpft~xgsylxg4:
h4→⎇h4~-λgs9lxg3Ylxht9lxh4Z≥λh4~≥λh4:≤xh4~≥λh4~≥λhtZxht:
gt~
gt~≥ht:
i4:
h4~
gt→⎇λi4:≥λht:-λht→|xht~≥h3z≥gt~≥λht~
λh4→|xgt→⎇gt~≥λh4:≥h4:≥λht:≥ht~
ht~
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⊂i4:xh4~
h4:≥⊂htZ
λi4Z-h4~
λht:≥λi4:≥h4~
h4:≥ht:≥λht:≥⊂ht:-_ht:≥λhtZ-⊂i4~≥λgt~≥h4→⎇gt:≥λht:
λgsz
λht:-htZ≥λi4:≥⊂h4Z≥_i4Z≥⊂i4Z-⊂htz≥λi4~-⊂i4Z≥i4Z=⊂htz≥λiu~-⊂itZ-⊂ht:=_itZ-⊂it:=_i4z=_htz=_iu~=⊂iu~=_i4:- j4Z-_iu~M iu~= it:=_itz-_it:=⊂itz= itZ-⊂itz-⊂itz=_itZ=_i4z= iu~=_iu~M j5~M0ju:](k5Z⎇8kv≠≥Pf3y\pfs9lxg39\pfsY|xg3YLhfs9\hg39\hfs9lpg3Ylph39|xg4→|ph3y|xg3Y|ph3ymgt~≤xgt→|pgsylxht9|xg4:
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λh4:
λhtZ≥λht~
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gt~≥h4:
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λi4:=λht:-⊂ht:≥λht:≥λht:
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λi4:
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gsz
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h3zxh3zxh4:≥ht:≥i4:≥i4:≥λht:≥⊂htZ-⊂itz
λhtZ-⊂h4~-λit:-λhtz=λhtZ-λi4z
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⊂htZ-λi4Z-_it:=⊂j4Z-⊂i4z=_it:≥ itZ=⊂iu~=⊂htz- i4:=_itz≥_iu~=λh4Z=_i4z-⊂i4Z≥htZ-⊂htZ-λi4:≥⊂itz-_j5~M i4Z≥_itz-⊂iu~M itz](j5~](kuZ](juZ⎇8l6≠
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h4~≥_ht~
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λht~≥h3z≥λh4~-λht:xh3y⎇h4:≥⊂ht9⎇h4~xgt~-h4~
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λi4:≥⊂i4:-⊂i4Z-⊂it:≥⊂ht:
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λh3zxgt:
λh4:≥λht~
λi4Z≥htZ-⊂i4Z-_i4Z≥⊂i4Z-λht~≥⊂i4:-λi4Z≥⊂i4Z-_i4:
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λi4:
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λi4Z-λhtz-_i4z= j5~= iu:m8ku{
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λgt~≥ht~
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λht~≥⊂ht~
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λgt→|xh4Z≥λh4:≤xgt:
ht9⎇λhtZ≥λht:≥λh4:≥⊂htz
λhtZ-_i4zM_i4z,xg3z≥gt~≥λht→|xht→⎇h3z≥λh4:-λht:-_jtz≥⊂ht~-λh4~-⊂ht:≥ht:-⊂ht:-ht:≥λi4Z-h4Z- itZ-⊂i4z-⊂h4ZM⊂i4Z≥⊂htZ≥⊂i4zM_i4z=⊂i4Z≥_htz≥λitZ-λi4Z-⊂i4Z-λh4:≥⊂i4:=_itz-⊂htZ-⊂i5~-⊂i4Z- j5~-_itZ=⊂i4Z=_i4Z-⊂itZ≥_itzM⊂itz= j5~= j5:m(ju~m0kuZmHfs9|hgs→Lpg3→Lpfs9\hfsY|pfs9lpgsYlpg3Ylpf3Y\pgsYlph3ylpg3Y|ph4~
λht~xft~xgt~
ht~≥h4:≥λhsz
gsz
λht:≥h4:≥h4~xh4:≥λht:xgt:-⊂h4~
ht~
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λh4:≥gt~≥λhtYmht→|xh4~xh4~-hsY⎇g4:≥h3z
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ht:≥_h4~
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λht~xg3zxh4~
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λhtz=λh4~≥λh4~
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λi4→⎇h4~≤xh3z≥h4→⎇λi4~≥ht:≥λhsz
λi49|xgt:-g3Z
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i4:≥λht~≥λh3Y⎇λi4Z
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λitZ≥h4:≥λh4Z-⊂h4Z≥ht~
h4Z≥h4~≥λht:≥λht:≥ht:≥⊂j4z≥⊂i4z=λi4Z=_htZ-⊂i4Z≥⊂htZ-⊂i4Z≥λhtZ≥λi4:-i4Z≥⊂i4zM itz=_itz=_i4z= itz-⊂i4ZM⊂i4z=⊂itZ=_itZ-⊂i5~=_itZ≥⊂itZ=⊂itz= itz=_j4zM iu~m(j5Zm8l5zmHg39\hfs9\`f3→\pgsY\hfsY\hfs→lpfsy|hfsy|pg3y⎇hsylpgsy|xgsz
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ht→|xht:-g3zxh4→⎇λhsz
gt:≥λh3z
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h4~-⊂i4→⎇h49|xi4~≥h4~
ht:
λitZ-λh4Z≥λhtZ=λh4:-i4:≥λh4~
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⊂h4→⎇h4~≥gt~
λgtZ≥λhtz-⊂h4~-⊂i4~- itZ≥ht:-λht~≥λhsy|hgt~
h4~≥λht:≥λh4~
λht~≥λi4Z-⊂jtz=λht~≥⊂ht~≥λht9⎇λi4:
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h4→|xh4→|xg4~
λh4→⎇ht:≥λgsz-λht~
λht:
λh4:≥λgtZ≥λht:xi4Zxgsz
λh4→⎇λhsZ
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λht~
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λhtZ
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λh4:≥λh4:≥⊂i4~-⊂itZ=⊂i4z=⊂ht~-h4~≥ht→lxh4~
i4:
λh3z
h4~≥λht~≥h4:-_j4Z-λi4Z≥⊂ht:xh3y⎇ht:≥λhtZ≥ht:-⊂i4~-_i4Z≥⊂htZ=λht:-_i4Z-λi4Z-⊂i4z-_i4→⎇_i4Z=λhtZ-λht~=⊂itz=_htz=_i4Z≥ itZ-_i4Z-⊂itz=⊂i4z-⊂i4:≥⊂iu~-⊂htZM_i4Z-_itz-⊂i4Z=⊂itZ=_itz= ju~=(j5:⎇8kuZ⎇@f39\hg3Y|xfs→\hg3Ylhf3YlpfsYlhfsy\pg3ylhg3Ylxh3y|xh4→|xgsY⎇gt~pgt→lxg3y|xgsz
ht→⎇λhtZ
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⊗P6[Mg ;←/↔@<≥∞7⊂9]∞⊗p7[mvx6≠∞W`?←OgpA 2{↑qy⎇h4~≥λh4:
h4~≥h4~≥λi4:
λh4:
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λi3z
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gsylpgt~≤xgt~
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gt:≥gsz
ht→|xi4~
λh4:≥ht:≥λh4~≥λh4Z≥λh4~≥⊂ht:≥λitZ-λhtZ-_ht:-⊂itZ-⊂ht:
h4~
h3y⎇h4:
hsy⎇λh4~≥λh4:
h4Z=λht:-λj5~≥λhsz
⊂h4:≥λgt:≥λh4Z≥λi4Z-λhtZ≥λht:-_i4z
⊂ht:≥λgt~≥⊂i4Z=λitz=_i4:-⊂ht:≥λitz-⊂htZ=⊂ht:-⊂ht:≥⊂i4:-λitZ-⊂itZ≥⊂ht~≥λhtzM_i4:=_itz=⊂itz=_i4Z-_itzM_i4z=λitzM_itZ-_iu~M(ju:M ju:m0kuZ⎇@g39\Xfs9\`g3y\pfsy\`fsY\xg39\pg3→lhg3Y|xg3Ylhgs9|xfsy|pg3z≤xgt→lxgsy|xgsy|pgsY|xh3z
i4~
h4Z≥htZ
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λh3y⎇λi4:
ht~
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h4:-λgsz
gt:
λht:≥h4~≥ht:≥λh4~≥λh4:-λh4:-⊂i4:≤xhtZ
h4:-⊂it:=_itz=λht~
⊂i4→|xh4:
h4→lxh4→⎇ht:≥ht:≥λh4Z≥λhtz=_iu~-⊂htZ≥⊂htZ
⊂h4:
λh4~-λhtZ-⊂i4:≥⊂i4Z≥_i4z=λhtZ-⊂i4~-⊂i4Z≥i4z-⊂i4Z=⊂ht:-λi4Z-⊂ht~-⊂ht:=_it:
⊂i4:≥⊂i4:-⊂itZ-_i4:-i4z=_i4Z≥_itZ-⊂itZ≥⊂i4Z=⊂i4z-_itz=_itzM⊂itZ-_itzM ju:](ju:m0k5Zm8g3→l`g39\pg39\hg3ylpfsYlxfs9lpfsYlhfsY|pgs9lph3y|xgsy|xg3Y⎇gsy⎇h4→lpgt~ph4→⎇h3z
λht:xgt~-λh4~
h4:
λh4:
gt~
λht~≥λi4:≤xhtZ≥λh4~≥h4→⎇λi49⎇h4~
ht~
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htZ
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⊂htZ≥⊂ht:-_i4z=λht~
λh4→|xgsY⎇ht~xh3y⎇λht:≥⊂ht:
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ht:
⊂h4Z-_ht:
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htZ-λh3z
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h4~
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i4~
λh4:xg4~
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ht:-λh4:≥λit:
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λi4:≥⊂i4:≥λht:≥⊂ht:-⊂itZ-_itZ≥λi4:≥⊂i4Z-⊂ht:-⊂i4Z-⊂htZ-⊂i4Z=_i4zM⊂j4z=_i4Z-⊂i4Z≥λi4Z-⊂i4ZM_itz=⊂iu~= ju:](j5:⎇@kuZ]@g39\hfsYlhg3Y|xg3ylhf39Lhfs9lpfsYlpg3Ylhf3Ylxgsylxgsz
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gsz-λh4~≥λh4~
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λgt:
λht~
λh4~≥λh4~
λht→⎇htZ≥λhtZ=_ht:
⊂i4z-⊂i4z-⊂i4Z= itZ-λh4~
gt~
λh4→lxh4:
h4:≥λi4~≥htZ
ht:≥htZ- j5~=_i4:≥i4Z-λh4:≥λit:
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h4~
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λh4~
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gsz
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λht~≥h4~≥λh3z
h3y|ph3zxgsz
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h3z
h4:≥λhsz
λh4→⎇λh4:≥h4~
λh4→⎇λh4~
ht:≥λht:≥⊂i4~
λi4:-⊂i4Z=_htZ= i5~=h4~
g4~
λh4~
i4Zxh4Z≥λh3z≥λh4:≤xh4:,xhtZ= itZ=_h4Z
⊂i4Z≥_ht~
⊂i4Z≥λi4z=_ht:-_itZ-λht:-⊂h4Z-λht~≥_it:≥⊂i4Z-λht:-_i4:≥_itZ
λi4Z-⊂ht:-⊂i4Z-λi4z-⊂ht:-λi4Z
htZ-λht:-⊂htZ=_itz=_itz-⊂i4Z-⊂i4z=_itz=⊂itZ=_itZ-_iu~= j5:m(ju:m8k5z⎇@gs→l`fs→l`fs→LpgsY|pg3Y\xg3Ylxg39\pgs9lpgs9\xgsylxg3Ymh4→lxg4~
h4:xgt~pgt~≥h3zxh3z
λh4:≥λh4~≥⊂i4:
λi4Z-gsy⎇h4~xh4→⎇λhtZ=_h4~
⊂hszxh4~xh4~
λgsY⎇ht~
gt~-gsz≤xh3Ymh3y|hh4~xh3y⎇gsz≤xh4~
⊂i4:≥⊂i3z
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λh4~
λht:≥λi4~
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g3z
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λgt~≥ht:
ht:≥λht~≥λht~
λh3z
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h3y⎇gt~xh4~≥λh4→|xgszxh4→mhsz
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h4:-λht:≥⊂ht:
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h4~xgtZ
⊂h4~≥λht:
i4:≥λi4Z=⊂i4:-_it~≥λht:
⊂i4:=_itZ≥λi4Z≥λi4Z-_i4z-_i4Z≥htZ-λh4:-⊂itz-_itZ≤xgt:-λhtZ-_i4z-⊂i4z-⊂ht~-⊂itz-λitz-λht:-⊂htZ≥λi4Z-⊂i4Z≥λhtZ=⊂itZ-_iu~- itz=_itZ≥⊂itz-_itZM_itz=_itZ=_j5~M j5Zm(j5[
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h4~
λht~≥i4:xh4:=λh3z
ht~≥λht:≥λh4Z≥λhsy⎇λht:xgt:≥λh4:
hsY⎇gt~
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gsz-λh3z
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λh4~-λi3z≥⊂i4Z
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λh4Z≥λht~-_ht~
⊂i4:-h4~
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gt~
λh3z≤pg4:
λh3z
λh4:≥i4Z≥_i4Z=_ht~≥⊂ht:
λht:-⊂i4Z-λi49⎇λht:≥λht:≥ i4z-⊂i4:≥λi4Z≥ht~-⊂j4z=_it:-h4:
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λht~
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h3z≥htZ≥λht:≥⊂htZ=_j5~= iu:]_ju:⎇8l6~]⊂Zb0h0Ac2)_F"qX`E OWx@≡/gx@a⊂h@D"0h0Db⊂h@DapxPD!px@D!pxHE#⊃XXE#⊃HXF"Q8PG#⊃XXDc1XHDc⊃(HG#⊃_@Cb1_PEb1(XFc18hF"q_PEc⊃HPDbQ_PDbqHXF#⊃8`EbqλHF"q_HD"1(PFbQ(XEc1(`DbQ_8Dbq8PEbQ_HD"1_HE!q_PDb⊃8HDaq_@Db1(0D"⊂x@D!q(XEbpx@EbQ_HD"0x@EbQ(XE"q_PE"1_PDbq8PD#⊃8HD"⊂x@F"⊃λ@Db1λXD"⊃_HE"Q_8D"1_PC!0x8D!ph(C"1λ@BaPH0C!⊂H8CapX(Ca08 B"⊂X0D!Ph@CaPh@D"1λ@DaPX(Caqλ8Ba0X0B!⊂8λ@`p__@`/WXA P7hBky-_j4z=_itz](j5≠
@kuZ]_i&N( A∨/HCa⊂H@D∨pπp=∨∂Wp=!3{0c3Z≥⊂ht:≥hsz
⊂ht→⎇λh4→|xg4~
gt~
i4:
λht:
gsz≥λhsz≥λi4Z
λht:-_h4:≥λi4Z≥λhtZ=λi4Z-_i4:≥i4Z-⊂i4ZM_i4z-_itz≥λhsz
λh4:≥gsz
λh4→|pg3z≥λhtZ-⊂i4~≥_htz
ht~=_htZ-λh4:=λht~
λh4Z-⊂i4:-λi4~≥λht:≥_i4~
_htZ-_itZ=ht:
⊂i4Z-λi4zM_ht:-⊂hsz
⊂i4Z=⊂i4z=⊂i4:-_it:-⊂i4z≥_itz=⊂i4Z
_i4~≥⊂htZ=λi4:-⊂i4z-λi4Z≥λht:≥⊂i4z=_itzM i4z=_i4Z= j5~](juZm(k5Z⎇8l5{
Hg3y\pgsYlpfsY\pgsylpg39lpg3Y\xg39|xgsY|pg3Z
gt~
h49|pgsylxh3y⎇λh4→⎇gt~-h4:ph3zxh3z
gt~
λht~
λh4:
⊂it:-λht:≥λi4Z≥⊂h4~
λh4Z-h4~≥λh4:
ht:≥λht~≥λht:≥h4Zxht~≥λh3Z
λi4:
λht~
gt~
λhsY⎇h4~xh4:≥λh4:xh3y⎇λht:≥⊂i4Z-⊂ht:-_i4zM itzM j5~⎇@kuz]⊂[bpX0D#2(hD"0h`E ∂7p>≡∂HA!0x@CaPx(D"0xHDapxHDb⊃λHD!0x@DbqhhE"qHXEbqλ@E"q(`DbQ80Dc⊃(PF"Q(HCaQ(`F"⊃_@E"QHXDbqλ@DbQHPDb1_HE"QhXE#⊃8XEbQ_@F"1_HE"Q_HE"⊃_PE"⊃λXE"⊃λ@D!q_@EbQ_HE"QλPDb1_8Db⊃_XE"1λPD"1λPDb1λ0Cb⊃(PDbPx8DbQ(@Cb1_HEb1_hF"q8XEbq_@Dc⊃(PD"1_@D!qH@E"qλ8E!qλ8D!qλXEbPh0C!ph0Ca⊂hHD"⊂x(CaPx B!⊂8(CaPh@CapX(CaP( Bb⊂h(E!px0DaPh0D!px0Ca⊃λ(C!ph8Ba⊂H0Aa08_B PH(A ∂gX@ pHλBiY
_ju~M⊂j4zM(j5Z⎇@kuZ]_i'∞H@∨ohB!⊃λ0C p↔p>≡oW`> 3k@bs9⎇λi4:≥⊂h4~
λh4~≥ht:pht:≥λh3z
h4:
λht~xgt~-λht:≥λht:-λh4:≥λht:-λi4Z≥λht:-⊂htz=⊂i4Z-λitz-_itz=⊂itZ=_i4:-⊂i4:≥g3y|ph3ylxht9lhh4~
λh4Z
⊂i4Z-λi4z-⊂h4~=_h4~≥ht:-λht:-⊂h4:≥_itZ≥⊂i4:-λi4z-⊂itz-⊂i4Z-⊂htz=⊂htZ≥⊂ht:=⊂i4Z-λi4Z-⊂ht:≥_itZ-_htz=λi4:=_i4Z-⊂iu~M_itz-⊂i4Z≥_i4:≥λitZ-⊂i4Z=_itZ-λitZ=⊂htZ-⊂itz=⊂i4Z=_j4zM itZM ju~](k5Z⎇0j5Z⎇8kuzmHg39l`f3Ylpg3Y\`gsYlpfs9lpfs9|pg3Ylxg3ylxgsy⎇gsymgt~
gsy⎇h4~
λh4→lxh4:
h4~
h3ymh4~
h4:≥h3z≥λht:
λi4~-⊂ht:
⊂it:-⊂ht:
i4:-λht~
λh4Z≥ht:≥⊂ht:-⊂h4~
λhtZxgt~
h3zxh3z
λht~
gt~
h4~
ht~≤xh4Z
ht→⎇h4~
ht:-λhtZ≥λht:-⊂i4z=_j5Z](k5:⎇8kuz]⊂[c⊂x DbQ8XDaQ(HD`∂8>≡/xA!Ph0CaQλ@D"Px8D!q_@E!q_8C"⊃λHDaq8XEb1_XF"qλ@Db⊃λHD"18@D"1(XF"Q_HD!q_XEbqH@Ec1(XEbQ88D"q8`E#⊃HPEbQ8PEc⊃8@D#1(8Eb18HE"⊃λHEb18XEb1_XE"⊃(PD"Qλ@E"⊃(@Db⊂hHEbqλ8CaPxPE"Px@E!q_0D"⊃8@Bb1(HD"0x8D"1λ@Db1_`Db⊃_PDbQ(HEb1_@E"⊃8PC"⊂x@EbPhHF!qλ8CaPxPCb⊃λHEb⊂x@C!Q_HE!phHD!px@D"⊂x0C!pX0C!0h@C"⊂h(B!⊂_0D"⊂H0D!pH0D!qλ8DaPX@Ba⊂H B!Px0C!PX0C!0H B P_⊂A←owX@!⊂'pA)_⎇⊂ju~]⊂ju~=(ju:]0k5zM_h&NX@≡p_Aa⊃_⊂@∨P8⊂>≡OWh> t≠@bs:
λhtZ≥⊂gt~≥ht~≥h4→⎇ht:
⊂h3y⎇λht~≥⊂i4:-λht~-λgt~
λhtZ
h4~≥λht:≥⊂i4Z
λhtZ≥⊂h4z=_itz=⊂j4z-⊂itZ=⊂i4Z- itZ-λi4~
gt→lxh4→⎇h49⎇h3z
h4Z≥⊂iu~=_j4Z≥λh4~≥⊂ht~≥λi4:≤xht:-⊂ht9⎇λi4:-⊂i4:-⊂ht:≥⊂htZ≥λht:=_i4Z-λht~- it:≥⊂i4Z-⊂i4Z=⊂htZ≥_i4Z-λi4Z-_i4Z= j4z=_itz=λhtZ-⊂htZ=_j4Z≥_i4Z-λi4:≥⊂j4z≥⊂iu~=⊂i4Z-_i4Z-⊂itz-_iu~M_j4zM(ju~=_k5:](k5Z⎇0k5:m@g3Ylpf2yLpfsy\hg3y\pfs9lxfry\hg3zxft→⎇gsz
gsY⎇htZ
gtY⎇gt→⎇λht~
gt:≤pgt:
⊂i4:
ht9⎇h4Z
λht~
⊂i4:≥⊂ht:=⊂i4Z-_it:-ht:-λht:≥λht:
⊂i4:
λht:-⊂ht:≥_hsY⎇λht:
ht~xh3Z
ht~≤xht~xgt~≥λh4~xgt:-λht:
h4→|xgt:
λi4~-λht:≥λht:≥λi4Z≥⊂j5:] k5z⎇@l6~m_]#0x(C!px8D PhXD /wx>≥/XA!px(C!0x0D"Q(8D!1_HE"⊃λ@Cb1λPD"1λPE"Q_PFbqλ@D"18HCb⊃(HD!q_PDb1λ@Db1(@E"Q8HE"Q(`Ec⊃(@Cb⊃λPF"q(PDb⊃_@Ec1(@C"1_HFbq8PE"Q_PD"⊃(PDb1(XDb⊃_@Dbq(XD"1(HE!qλHD!Qλ8Bapx8Db⊃λ0CaQ_8D"1H8CbQ8HDapx@BaQλ(E!qλ@E"1λ@E"1λ8Cb18HDb1(@D!Qλ0D"⊂h(G!pxHDb⊂xHBb⊃λ8D!qλ0C"⊃λ8Ca0x@D!pX8Ca0h8B!⊂H0C!Qλ8C!P8_B 0_ D"Ph0Caph8C!0h@Baph8C`pX(Ca088Ca⊂(0C!⊂8(B`p_λ@←ogX? ⊂↔pA)→
(k5Zm j5~=(j5:⎇0kuz]_i&.h?≡pH @`Qλ ?←Pπx>≡O'P= S{8bs:
λh4:,xg4~≥⊂hsy⎇ht:
λht:
⊂h4~
λi4:
λitz-⊂gsz≥htZ≥i4:-⊂ht:-⊂ht~-⊂i4z
ht~≥h4:-⊂itZ-⊂itz-λhtZ= itZ=_itz
ht~
λgt~xht9⎇λh4:
gsz≥λh4Z
λj4z-_jtz-λhtZ≥λht~≥⊂itZ-h4Z-⊂i4~
λhsz
λi4Z-λitz-λhtZ
λhtZ=⊂ht:-i4:≥ j4Z≥⊂itz=⊂i4Z-_itZ-_itz-htZ=_ht:=_j4Z-λi4z-λht:-_i4Z-⊂j4Z-_itz-⊂htZ≥λitz-_j4z=_ht:≥⊂i4Z=⊂itz=_i4zM_iu~M_j5~M_ju:m0juZ⎇8k5Zm@g3Ylpfs9\pg3ylpg3y\hfsY|pg2y\hg39lpgsylxgsy|xh3y|xh4:xh4:xgsy⎇hsz
h4:≥h4:≥λhsy⎇λi4:ph4~≥λht:
⊂i4~≥λhtZ-⊂i4Z=⊂itz
λht:≤xht:≥λht~≥λi4:≥λht:-h4~≥λh4~≥λhtZ≥h4~xh4~
i4~≥ht→⎇h4→⎇h3y|xhtz-⊂h4:xgt:pht9⎇ht~≥h4:-⊂i4:-⊂htZ≥⊂i5~M_ju{
@lv~] ]"q_@B!⊂(0Db⊃_XC`ohλ>]OX⊂Aa0h(B!Ph0Cb188D!0x@D"PxHD"1λ8D"18@Dbq8HEb⊃(HE!q(PE"Q(@Db⊂hHDapxHEbpx8DbQ_XEb⊃_XDbQ(XDbQHXEbQ8HDb⊃_8F"Q_HD"⊂x0Ebq_HDbq(@C"1_8E"⊃λPE"Px8D"Q(HD!q(`E!Ph@DbPx0C!0X@Db0x0Caq_@Cb⊃(PCb⊃λ0C!Px@CbQ_8Db1(@D!qλHDb⊂X8E#⊃λ8E"1(@D"⊂x@Caph0E!PxPDapx8B!ph0Bb⊂x@Ca0h0Bb0x8D!PX8Ba⊂x0B!⊂80B!⊂_⊂A`p8(B p__Cap8(BaPh Ba⊂h8B!0H A`PH_Ba⊂X(B!0H B!⊂8_B!P(@∨Owh? ⊂(?h_m(k5Z](k5~](juZ⎇0kuz]⊂he.7h>∨∂h⊂B!Qλ8A∨/wx>∨O'X>a∀Hd3:≥⊂htz≥λht~-λh3z-λhtZ
gt~≥ht:
λht:
λi4:
h4~≥_i4Z-ht:
htZ≥λht~-⊂ht:
ht:-⊂h4:
⊂i4:≥⊂itZ-λhtz=_j5~M j4Z-h3z
λgt~≥ht~
λht:xh4~
⊂h4Z-⊂i4:-⊂j4z-⊂i4Z-λht:≥λi4Z≥λh4:-_ht~≥λhtZ≥λi4Z≥⊂itZ-λhtZ≥⊂htZ≥λi4Z=λi4Z-_itZ=_itz=⊂itzM_i4Z- j4z-λi4Z-⊂htZM⊂itZ=⊂i4Z≥⊂i4Z-_itZ-⊂j4z=_itz-λht:-⊂i4Z- j4ZM_i4:- i4Z=⊂iu~-⊂i5~M_j4z=_i5~M ju:]0k5:m8k5Z]8fsY\`fsYlpg39lpfsYlpf3Y\pg39lpf39\ph39lxgsy|xh4~≥h4:xh4:≥ht:
h3Y⎇h3z
h4Z-gsz
ht~
ht:-htZ-⊂h4→⎇htZ-htZ=⊂h4:
⊂ht9⎇ht:
⊂i4:
i4:≥h4~xht~≥λht~≥⊂i4:≤xh4:
ht→⎇λht~
htY⎇h4~≥h4→⎇λht:≥gt~≤xh4~≥λh4~
h4:≥λi4:=⊂i4:-⊂i4Z-λi4zM0juZ⎇0l5Z]_←"pX8C!088Ec2λPE`p↔p<]∂GpA!⊂X@B"0h(CapX8C"1_HD"Qλ@Cb⊃80DbQ(PDbq8HEb1_@Eapx@Db⊃HHDaQλHDb⊃_HE"⊃_@E"1λXEbQ8PE"1_@Dbq8XEb⊃λHE"⊃_HEbQ_PE"1λ(E"0x`EbPxPE"1_PE"⊃λPDb1λ8C!q(8C"⊃λ8D!px8D"q_PB!Ph@Caqλ C!Px8B"⊃λ@D!q_0C"⊂X0C"1_@Db1_PE"⊃λHDb1(@Caph0BaPx0C!PX(Ca0h D!ph@E!Px(BaPH(C!ph8BaPx0C!pX0Ca0X(B!0h B pX A`p8_A p8_A←P(_A Pλ(B pX B pX⊂B`⊂(⊂A p8 A`pH_@a⊂8(Aa⊂_λB!08λ@∨pπP? ⊂_?'8m_k5:M0j5~M j5:m0ju:] gdnGx>←pH_Baph_?←0λ?←∂W`?a∀≠Pc3Z≥⊂i4:
h4~
λht~
htZ,xgt~
λh4~xht~-⊂itZ≥h4:
⊂h4Z≤xh3z
htz=λht:≥λi4:≥i4:-⊂ht~≥⊂htZ≥λhtZ-i4z=_j4zM_itZ≥λh4:
λh4~
λi4~
h4~≤ph4:
λi5~M_ht:≥λh4z≥i4:-λhsy⎇htZ
htZ≥λh4~
λi4Z≥⊂i4Z-λi4:≥λi4Z≥⊂i4z≥⊂i4Z=⊂ht:-⊂j4Z-⊂itZ=_i4ZM_itz-⊂itZ-λi4z=⊂htzM_itZ=_itZ-_itz=_j4z-_it:-_i4z=⊂i4Z=_itZ-_j5~MλhtZ=_itz=_iu~-_itz= j5~M_itZ- k5:](ju:⎇8l5≠
@g3Y\hg3Ylxfs9lpg3yL`fsYlpg39\pfs9\`fsymh3y|xgsy|xht→|xgt~xgtZ≥λh4~ph4:
htZ≥λh4~≥λh4:xh4~≥λh4:=⊂ht~
h4:-λhu~-⊂i4:
λht→⎇h4:≥⊂gt→⎇λht:-h4~≤xh4:-⊂ht:
λh4:≥htZ-h3z
λh3z
λh4:-gsz≤xh4~xh4:≤xh4:≥λht~≥λht:
gt~≥λh4Z≥_itZ-⊂i4Z-λitzM0j5:⎇0l6~m⊂↑"P8HE"⊃λPE$2h@C`owx<\o8λB PX0B!⊃λ0Ca0x8Cc⊃_0Cb⊃λ@Cb⊃λ0CaQ_0E"1_PDb⊂x@Cb1λPCbQ_PC!ph0Db⊃_`DaqλXC"⊃λ@Dbq_PE"qλ@Cb⊃_HD"⊃(HDb⊃(HDbQ_8C!Qλ@Db0XHEb0x@DbQλHEb⊂x@C!q_8CbQλ8C!q_HCapx0Cb1_@B`ph8C"0h(A`Qλ(Bb⊂x(BaQλ(Bb⊂x@D!qλHDaQλ@Cb⊃_8D"qλ@C"⊃λHC!0h8B!⊂X0C!PX_Daph8B!0h(B!0X BaPH Ba⊂X C!08(B qλ A!0x A 0((A!⊂λλB!∂xλ?←p(λ@ 0(⊂A P8A 08λ@`⊂(⊂@ 0_?`0(λ@ PX⊂B P(⊂A p8⊂A ⊂πX@`PHλ?f8
⊂ju:M i4z=(i4z]0kuZM_gdN(_A PH0Ca0(λ?∨0π`<←∂Gp?b4+@c3Z≥⊂ht:-h4→⎇ht:≥λi4~≥h3z
h4~≤xi4:-⊂i4Z≥λh4:-λh4:-λh4~
htZ=⊂htZ
h4~
⊂i4z=⊂ht:≥λht~≥λhtz≥λi4z=_itz- j4Z
gt~
h3z≥λh4:≥λht9⎇h4:≥hu~m i4Z≥λhtZ-λi4:
λi4:
⊂htZ≥λht:≥⊂h4~≥_i4:
⊂i4z=⊂i4Z≥⊂itZ-_itZ=_i4Z= i4Z-_i4:-λi4z-⊂i3zM_itz=_i5~≥λi4:=⊂htz=_itz-_itz=_i4z- i4:≥_itz-λhtZ=⊂i4Z=_j4Z=⊂itzM⊂i5~-_itz-_i4zM_i4ZM_i5~=_j4zM j5~](juZ⎇8l5{
Hfs9lpfs9lpg39|hgsY\pg3ylpfs:xfs9\hg3Z
gsY|pg3y⎇ht:pgt:xh3z
h4:
λht~
h4:≥⊂h4~≥λi4Y⎇h4~≥λh4~-⊂i4~≥λht:-⊂j5~-λh4:
⊂i4:
λh4~
λh49⎇λi4Z≥ht~-λht:≥⊂ht~≥⊂h4~-λht:≥h4→⎇h4~≥λh4:≥gsy|xh3ylpgt~xh4:≥ht:-⊂ht9⎇h3z
i4Z≥⊂i4:
it:≥λi5~M(j5:m8kuzm_←c0XPEbQHPDcr8HC 0_<\O(⊂B 0x0Ba0h@D"1λ8C"⊃_@D!q_@C!P8(C"⊃_@DaQ8@D"⊂xHDb1_HC"q(@DaPh0C!px@Db1_@BaPh8D"Q(8DbQλ8DapxHD!Q_HE"⊂x0C!phPCaPx0E"PX(D"Px(Db0xHCaPX(C!qλ(CbPX0D!1_8Da⊃λHC"⊃λ0BapX0Ba0H8@`0h(B!0H8C!Ph(Aa0h(C PhPBaPx CaPh(C!Ph(Ba0H(D!0h8A ph0Ba⊂H⊂Caph(Aa⊂H0A`pX⊂C!0(⊂A!⊂_ B P_ @`pH⊂@ PH A←pλ⊂@←p_λ?←Owp?∨0↔x?`∂h?∨Owp?∨Pλ_@`⊂(?`⊂λλ@ ⊂↔x?`⊂8⊂B P8_B 07x?`∂wh@ pgx>dw]λju~M htZM j5~M8k5ZM_h$∞X0B`pH0A`P_>∨Owx>≡∂'p?aT8c3~≥⊂h4:≥λht9⎇λht:-λht:≥λh4~≤pgt:
i4:≥htZ≥λh4:=⊂ht:
λht9⎇λi4Z=⊂i49⎇i4Z≥⊂htZ=λh4:≥⊂htZ=_j4Z-⊂htz=_i4Z- jt:
h4~≤pgsy⎇ht:
ht~
λh4~≥hu:m_i4~
λhtZ≥λhtZ≥ht:
⊂i4z-⊂i4:-⊂htZ-λi4:
⊂htz-λi4Z-⊂itz≥λitZ-_itZ= i4z=⊂it:
λi4:-λht~= i4z=_itz≥⊂it:M_i4z= itz=_itZ≥⊂htz≥⊂itZ≥⊂j4z=_htZ-λht:-_itz=λitZ=⊂i4z≥_i4Z-_iu~=⊂itzM_iu~= ju:M ju:]0juZ⎇0kuZ⎇@g39\hfs9\xfs9lxg3YlpfsY|pfs9lhfs9l`g39lhfszph3y⎇λgsz≤xgtZ≤xh3z
ht:
hsz
λh4:
λgt~
λht:≥ht:≥ht~≥⊂i4~≥⊂i4z=λhtZ≥⊂h4~
λh3z
i4~
h4:
λi4:
λhtZ=λi4Z≥h4~≥h4Z-λh4~
h4→⎇h4~≥gt:≤xgt~
gsy|xgt→⎇htZ=λht:≥λh4→mi4~≥λi4Z-⊂it:
⊂ht~
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λhsz≥⊂i4:
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gsz
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i4→⎇h4~≤xhtZ
gt→⎇λht~
λht9|xhtZ≥λh4~≥λht~
⊂h4Z≥⊂i4:-λh4:≥itz≥htZ≥λh4:≥⊂h3z≥_htZ
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λht:≥htZ≥λht~
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λi4:≥h4~≥λht:≥ht:-λht:≥λi4:-i4:
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λht:
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λh3z
λhtZ≥i4Z≥⊂ht~≥λh3z≥λh4:,xh4:-ht~≥⊂itz-λh4:≥⊂htZ
λi4~≤xi4z-λi4Z-⊂it:≥⊂itz≥λhtZ= itZ=(j4Zxht:,xgt:
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λht:-h4~≥h4~
λht:
ht:-i4~
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λhtZ≤xhtZ≥ht:
λht~≤xht:-⊂ht~
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gt→⎇ht~
gt~-i4Z
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gsy⎇ht→⎇h4~
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λitz=_itz=_j4z-λitz-_itz](jtZ
λh4~xgt→⎇λh3ymh4:≤xh4~≥⊂gt~
⊂i4→⎇λit~≥h4~≥λh3z≥λi4~
ht:≥h4:
it~
ht:≥λh4~
λh3z
λi4z=λhtZ-⊂htZ-⊂i4Z-_itZ≥_htZ=⊂h4:
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Hgt→lpg3zpg3Ylxgsy|xfsYlpfs9⎇ht~xh3z
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h4:≥hsz
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h4~
λht:
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ht:≥λgt~≥h4~≥h4~
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ht:
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λi4:≥h4~
gt:-λht~
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Hh4→lxf3ylph3Ylxh3y|xg3Ylxg3Y|xh3y|xh4:≥gt~xgt→|xh4~
hsz≥h49⎇ht:
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λh4:-⊂h4~
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h4:≥h4~
λi3z≤xh4~≤xh4:≥gt9|ph4Z≥λgsz
gt:≥λhtZ
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λh4→|xh4:xg3y|xh3z≥h4~≤xh4:≥λht:
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ht:
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λht:≥λh4~
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λgt~≥λh3y\pht:≥h4~
λh3y⎇h4~
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λi4Z-λhtZ-λh4:≥λitz=λht~≥h4~≥λht:
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λht9⎇λi4~
λgt→⎇h4→⎇hsz
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ht:
ht→⎇i4:≥⊂i4Z-⊂it:-⊂i4Z-⊂itZM_iu~M_j4Z
ht~≥gsZxgsz≤xg4~≥gsz
λh3z≥⊂ht:≥ht:≥λh4~
ht:xht:≤pgt→⎇ht:-⊂itZ≥⊂i4z-λhtZ≥h4~
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g3z
λh3z≥ht~
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λi4Z-htZ-⊂ht:≥λi4Z
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h4:
h3z
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gt~
λh4→|xgt~
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h4:xh3z
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λh3y⎇h4~xhtZ
λgsz
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λhtZ-⊂ht~≥⊂itZxhtZ≥⊂ht:
λi4:
λh4:,ph4→⎇ht~≥⊂ht:
h3zxh4~≤xgt~xh4~≤xgt:
h3z≥λht:
⊂htZM⊂i4z](k5:](is4i@Kg∪9HL$1y_K&qX8D!1(XE#⊃8`G"q(hF#⊃xXFcR_`G#⊃XhF#qx`F#1XXFcR→λFcQHhG#QxpH$⊃iF#QX`Ebqh`Fd⊃hpF#1xhGcr→H$⊃iH$⊃xxGc1XpHcqHxH#rλpGd⊃xpG#QHhDbq8PEc1XhFcQ8pG$∩λpGc⊃X`Ec⊃8PEbqH`Fc⊃HXE"q8hEbqHhG$⊃HhFc2λhH$1XxH#⊃XXF"1H`Ec⊃hhFcQHXGcQHhFcQx`H#1XhFc⊃H`F#⊃HhEcQXhE#⊃(hEbq8pG#qXpFbqλ@C!Q(HEbqHXD"1(XDb1(PEc⊃(PE#∩λHF"q(hF#⊃(`Ec⊃8hEc1_hHc1x`Fc⊃hpFbqxPC!QλXE"⊃8hE"QHhF#18hEc1XPFcQHXG#QhpF"qYH#QHxFb0_ >≠p8 >∨/gxB PGp=←/GP<]nw@@gv|0g4:≥h3y|xh4:≥gsy⎇h3z
λht~xg3y⎇ht9|ph3y⎇htZ-⊂h3z
ht:
h4~xg4~≥λhtz=_it:-h4:-_it:=_i4z-λi4ZM_ht:M_j4Z-λh4~
λh4→|pgsy⎇h49⎇h4~≥⊂ht:
λh3y⎇ht~-g4:≥λht~
⊂ht→|xhtZ≥ht~≥λi4:≥ht→|xi4~≥λht~≥λi4Z-gt:-λh4:≥⊂i4Z≥λi4z=⊂ht~-itz-_itZ-⊂ht:-⊂htZ-λhtZ-⊂it:=⊂i4zM_i4:
λi4Z≥htZ=⊂i4:≥⊂htZ-⊂iu~-⊂i4Z-λi4z-_i4:-⊂iu~] j4zM j4zM ju:m(k5Zm8l5z⎇@gt~≤xgt→|xgsY|xh3Y|pg3z
λh3y|pgt:
gsz
gt~
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⊂ht~
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λi4Z
i4z
λht~
λi4:
λh4Z
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ht~≥⊂i4~
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hsz≤xg3z
h3z
gt→⎇ht:xgsz≤xh4:≥h4~
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gt:≥λh4~xh3z≥h49|hgt~≥⊂gsz≥⊂h3zxht→|xgsZ
λh49⎇λht~≥htZ
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λi4Z
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⊂i4z≥λh4:=_ht:-⊂itZ
ht:≥λht~
λi4Z-⊂htZ≥λgt:≥ht~≥λi4:≥λi4:≥λh3y⎇gsz
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ht:
gsz≥h4→⎇λh3zxgt~
gsz
λh3z-λh3zxh4~≥λh3y⎇i49⎇gt~≥⊂h4:
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ht~≥ht~≤xh3z
⊂i4~
λht:xhtZ≥ht:
λht→⎇i4→⎇λht~≥⊂ht9|xhtZ
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h4→mh4~≥ht:≥h4~≥λht:
λh4~≥ht~-λi4Z-λi4z≥⊂h4:-_itz-λi5~-⊂i4Z
λht:=_itZ-_iu~-_i4Z=⊂it:≥⊂i4Z≥λh4:≥⊂i4:≥⊂htZ-λht:-λht:≥⊂ht:
h4Z-⊂i4:
⊂i4:
h4:≥⊂h4~-λi4~≥⊂ht~≥h4:
h4~≤xht:
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λh4→|xh3z
gsy⎇h4~
gt~xi4~
h4~≥λh4:
i4:-λi4Z
htZ=λi4:≥⊂i4Z=⊂itzM_i4Z=⊂itz-λh4:≥h3z
λgt~
λht:
gt:≥λh4~
hsz
ht~
i4:≥ht9⎇i3z≥h4Z≤xh4Z
ht→⎇λi49⎇λi4Z≥⊂i4:
λh4Z≥λhtY⎇λht~-λi4:
htZ-⊂i4Z≥⊂i4:≥⊂itz-⊂htZ=⊂h4~≥⊂it:-⊂htz≥ht~=⊂itz-⊂htZ≥λitZ-λi4:=⊂ht:-⊂htzM_i5~] i4:-_i4Z=_iu~=⊂j4zM j5~= j5:M0k5[
8l5zm@gt→lpg3y|pg3y|pgt9|ph4→|xgsy⎇gsy⎇λht9⎇h4~≥gsz≥λh4~xh4:≥λht~≥λi4~-htZ=⊂i4Z=_ht~
_itZ
λhtz-⊂i4:-⊂it:-⊂itz-⊂itz≥⊂i4z≥λi4~-⊂ht:-λht~≥_itZ-⊂ht:-ht:-λi4Z≥⊂i4:xh4:≥λht:-_ht~
λi4:≥λh4:≥λi4~≥λhtZ≥gtZ≤xh4~xh4~
h49⎇λh4~-λh4~≥λht:-λhtzM j4ZM ju:M0it∃9(K%Ry(H$rI(K'⊃h0D!PxPEaq_XDbqXhF#QhhGcqhpFc1xxGc⊃XxGd⊃hpGcqHhG#r	Gd⊃x`F#1XhFc⊃HhF#1HhF#QhpH#QxxFcQhxG$∩(xH#r	Fd∩	λF#⊃XpG#R	λHdrλxG#Rλ`F#⊃xxG#2λhF"18`EbQ(`F#1h`E#⊃X`E#⊃HhEc⊃_`E#1yF#qxhG"qYλFcqhxG#⊃y_HcqhpGc⊃H`E#QhxG#R→He∩→_GcqYHc2λxGcqhpG$⊃XhG#1hpE#qHxH#1HhHd∩→G"⊃(HC"QHPE#Q_xEbqHXEc1XpF#QHXFc1H`Db1HhE"qH`G#1(XE"qXXDbq8pH#⊃(hG#Qλ`EbQ_XD"QHXEc18`E"⊃HXGc⊃(hF"18xGcqX`FcrλxG#2λpGd∩λpE#⊃X8A P( A!∂w`@∨oWH<↑/WhCi7≤@h4~
⊂i4:≤xg3y⎇hsy⎇⊂h4~xgt:≥λh4~
λh4~≥h4~xh4:xgt~
h4:-λht~≥λht:≥ht:-λi4Z-h4~≥_i4Z=⊂i4Z-λhtZ=_j4z= itz≥λh4~
gt~≥h4~
⊂h4→⎇g4~≥λi4Z≥λht:xh4~≥h4:≥λi4~
λi4~
λh4:≥gt:≥i4:
λi4Z≤xh4:≥⊂it:
h4:
htZ-λh4~≤xh4→⎇htZ≥_i4Z-⊂h4:-λitZ≥⊂itz= ht~-⊂i4Z-⊂i4z-λht:=_i4Z-_ht:≥⊂itZ-⊂i4Z-⊂i4Z≥λhtz=⊂itzM it:-_itz-⊂i4z]_i4Z=_j5:M_j5:M(juZ⎇8kuZ⎇Hgsylpgszpg3zxh4→|xgt→⎇gt→⎇h4~
⊂ht:≥h4~
gt~
ht→lxh4:≥ht~≥⊂i4Z-λhtz=λht:≥λht:≥⊂i4:=⊂i4~-⊂htZ≥⊂it:≥λiu~- itz= i4z-_i4Z≥h4:≥λht:
λi4:≥⊂i4Z≥htZ-⊂i4:≥λi4Z
λht:≥⊂it:≥_ht:
λht:
λhtz
_i4~
gt:
h4:
ht~≥λht:
ht→|xgt~-λht:≥⊂i4Z≥⊂htZ-_iu~M0k5~M0j3u→⊂J%ry0Ie∩90M&QX Ba⊂X0Cb1_XE"q8xGcQxpGd1hpHcqYλH"qHxG$1hxFd1hhGcQiHcqxhFc1xhFc1(`F#1X`F#QXxGd∩λpHd2→λH#r	H$⊃xxGcQiH#qhxG$⊃hhG$⊃hpGcqhhG#1H`FcqxpFc⊃8`Fc1XxGc1XpEbQH`Dc⊃8XFc⊃XhF#⊃hhG#qxhG#R	_H#qiλG#qyGcQx`F#Q8hEcqhpG#RλhFc1hxH#qyGcRλhG#1XpF#qX`Ec⊃HPEc1XpGc⊃HXH#QXpF"Q8HD"⊃HhEbq_PE#⊃X`F#1HxEc⊃(PE#⊃(pEb⊃XhFc1X`Ec1H`Ec⊃H`Ec⊃XxEc⊃H`Gcq8`E"PxPE#⊃(@E#Qh`E#⊃hpH#⊃HhGc⊃HhFc1hpI$2λxF#QyλI$⊃xxF"Q(`B`P80B 0λ@∨o'h;↑∂7PCiW,Hgt:xh3z≥gt~
λht~
λgszxgt~
gt~
λh4→|xgt→|xgsz
λht~
h3z
gt~-λi4:
htZ-λitz=λht~≥_h4:=_itZ-λi4z=_itZ= jtZ≥ht→⎇g4~
h4→|xgt~
g4~xht~
λht→lxgt:≤xh4→⎇h3Z
λh4:≥λht:≥gt→⎇h4:
i4z≤xh4~≥⊂i4:
λht:
λh4Z≥⊂i4Z-gt~
λi4z≥⊂itzM⊂ht:
λht:≥λi4Z≥ i4:-⊂htZ≥⊂i4Z-λhtZ-_ht~≥⊂it:
λi5~≥λht:-_i4:≥λi4Z≥λi4Z=_itz=_i4z=_itz=⊂i4Z=_ju~M_ju:](j5Z⎇8kuz⎇Hg49|phsylxgsY|xh49lpft→⎇gt~
λgt:≥λht9|xh4~
gt~
λht~≥λht~xgt:
λi4z=⊂i4Z-λht:≥λi4Z≥⊂i4:≥λi4z=_i4:-λhtZ-λiu~M i5~=_i4:-_i4:≥λi4z-λht:-λi4:≥⊂i4Y⎇λht:=_it:≥λi4Z≥λh4~-⊂ht:≥⊂i4~≥λht:-gt:≥⊂gt~
λh4:xgsz≥h4~
h4~≥λht~xgsy⎇λht:
⊂htz-⊂i4z-λitzM_j4Z]0j45)λJ%Ry0Jcr9_Kf17`A!0X@D"qh`F"qXhG$⊃iHcR	λG#qiλGcqhxG#qxhF#r	Gc1iGd⊃yGc∩λhFcQ9λI#qx`G#qXxGd⊃XpH#r	H$⊃XpFd⊃xpG#QHxGcqYGc1HhH#QHpH#1hhG"qH`H#QXxG"Q_hE#⊃8hGc∩	FbqxXDbqxXG#1XhFc⊃8XGcQhhFc1XhF#⊃iG#rλxG#qh`F"qHXE#⊃xpGcQhxGcR	Gc1XpFd1X`E#1x`FcRλ`EcqyF#⊃XxFbQXXFc⊃HpF"QhPE"⊃_XDbq8XF#⊃8`F#1X`Ec⊃_XF#Q8PE"1HhG#18hEc1HXFc⊃YDcQhXF#1XhG#1_XEb⊂h@EbQ_PD#⊃8`Fc⊃HpF#⊃hhFbqhPF"18`I$2λxG$1yHdRY⊂H!Qλ`D`08λ@∨oXλB OgP<↑∂↔XDiW,Hh4~xgt:
h4:≥h4:
ht:≤xht9⎇λh4→⎇ht→|xgt→|pgsz≥h4~
ht:≥λh4:-h4~
i4Z≥htZ=⊂i4~≥⊂itz-⊂itz= i4z= i4:- j4:≥h4~-gt~
h3y|pg49⎇h4~≥λhszxh4Y|pg3z
h4~
⊂h3z
λh49⎇h4:≥λht:
λht:≥h4:xgt:≥⊂it:-⊂i4Z-λh4Z-⊂ht:
⊂ht~
⊂j5~=λi4Z-⊂ht~≥⊂i4Z-λhtZ-λht:-⊂ht~-⊂itz=_ht:-⊂htZ-_i4Z≥⊂i4Z≥⊂i4Z-⊂it~≥λiu~=⊂iu~-_i4:=⊂i4Z=⊂htz=_i4zM itz-_j5:](juz⎇8kv≠≥@gt~xh3Y|pgs9lxh4→⎇g4~xg4~≥ht:
h4→|xh3z≥gsz
λi4z-λht9|xgt:≥λi4:-⊂itZ≥⊂htZ≥⊂i4Z-λi4Z
λitz=⊂itZ=⊂i4:-⊂itz-⊂i4z-_i4:≥_it:≥λi4z≥λgt~-⊂ht:≥i4:xht:-λi4:≥⊂i4Z-λh4:≥ht:≥λht9⎇λi4z-h4~≥λht~
λi4:
g3z
h4:≥λht:
⊂i4:
i4~
⊂ht→⎇λh4:≥λi5~Mλi4zM_ju~m(it∃	λIeRλxGcR98JfQXB!q_HDc1x`Fc⊃YH#QhhF#1yλGcqiλGc2	F#RIFcR	⊂GcrλxGdR	Gc2_pF#⊃9H#r	G#QXxGcr	Hc1xhFcqXhGcQhxGcqxhH$⊃yHd2(pFc1hpH#RλpGbq9⊂Gc18hEbq(xEc⊃8XGcqiλJ#QxpF#1H`G#1(`FbrλhG#⊃hhG#⊃XhFcR	λGc2λxH$⊃xpFc1xhF#2λpH$r_xHd∩→_GcrλpF#QxxEcQh`G#RλxG$1xxGc1xxH#1h`FcqYFc⊃HPDbQ(PF"q8XEc1XxGcQxhG#18hFbqHHE"qHPEcq8hF#1hXFc1YF#QhhFc1H`Hc⊃(HFb⊃_PEb1(XE#⊃H`Fc1HXFcQxhFbqX`EbQ8`Fc⊃XXFdQxpId2→_GbPxhFb⊂hB Oh(B /W@;↑∂GhG*↔,@h4~≥h4→|xh3z≥h3z
λht:
gt9mht→|xht:≤xh4:
λht:≥λgt9lxgt~
⊂ht:-λh4~≥λhtZ≥htZ=_it:-⊂i4:-λi5~-_i4zM_itZM j4Z
λh3z≥gt~≥λht~
h3y|xg4~
gsY⎇h4:
h3y⎇h4~≥λh4~
λgsy⎇h4~≥gsz≥htZ≥gt:xh4Z
⊂i4Z-⊂i4:≥λh4Z≥λh4:
λi4:≥⊂ju~≥λht:≥⊂ht~≥⊂ht:≥⊂itZ-⊂ht:≥λht:≥⊂itz=⊂htZ=⊂i4Z≥λi4:-⊂i4Z-⊂i4Z-⊂i4~
λi4z=_i4z-_itZ≥⊂itZ≥⊂itzM j5~]0ju~M j5:m(iu~m8kv≠
@h4~xgsY⎇gs9lxh4:
h49mgsZ≥h4~
λht:≥λh4~≥h4~
itZ≥h49⎇λh4:≥i4~-λhtZ-⊂htZ-_itz-_i4:≥λitZ-_i4zM itZ-_itZ-⊂i4Z-⊂i4Z-⊂itZ-λi4:=⊂ht:-⊂i4:≥λi4Z
h4Z≥λht~≥_htz-i4:xht:≥λhtZ
λi4z=λh4~-λh4~
⊂ht→⎇ht~≥h4~≥ht→⎇⊂i4Z≥gtZ-λht:≥λht:≥⊂i4ZMλi4Z](ju~m8j4∃i⊂I$⊃(PEc2	HKf⊃88D!Q_@EcQhpGd⊃yHcQxhG#qhxG$∩→Gc1hxG$∩9F#qiλIdRλxI$1iλGd⊃h`GcQhxFcrλhFd⊃xhFcr_pGcqxxF#QxhH$∩λpH#QXpFcqyGcrλxG#⊃hhG#QxxGbq8PDbQ(PE"q8hE"qHhG#qXxHcQxhF#QhpG#18`G#⊃xxEbq8pG#R	λG$∩9λFc1yλI#rλhG#1HpEcQXhG$∩λpHc2→λGcrλxI#r(pH#QhhFc1xxG#QhhF#QxxG$∩(hI$1iG#⊃_`Db1HPEbQ8`EcQhxG#⊃HpFcQhPF#1XpF#⊃XhF#⊃HhG#⊃HxF#⊃XxFcQXhG#1X`I#⊃_PE"⊃(PF#18pFc18`F#1HPEc2λpGcQxpG#1HxG#QH`Fd∩λpHd2	H#pxXH#0X_?`P_ B`ogH<∨∂gpFiw≤8gtZ≥λht9|xht~
λht~
λht→|xh4:
λhsy⎇λht~xgsy⎇h4~≥⊂ht9⎇htZ
λht:≥λit:≥⊂it:
λh4Z-⊂i4:= i4Z≥λhtz-⊂itz=_it:=_i4~
i4~≤xh4:≥λht~≥λh4~xg3y⎇λgt→⎇λht~
λht→|xh4~≥λgsy⎇h4:
h4~
h3z≥i4~
htZ-htZ≥⊂i4z
⊂itz-⊂htZM_h4~-λhtZ≥⊂j4Z-⊂i4z-_i4Z≥⊂i4Z-⊂i4~≥⊂it:=⊂itZ-_itZ=λhtZ-_i4Z=⊂i4:-⊂i4z≥_itZ=_i4Z≥λitZMλhtz=⊂i4z-_j4Z-_j5~] j4zM itzM k5~](ju:m@kv≠≥@h4→lxgszxgsYlxh4~
gt~
λgsz≤xh3Z
htZ=⊂ht:≥λht~≥ht:
htZ≥λht~
λi4~
h4Z=_i4ZM_htZ≥⊂j4z-λit:-_i4z- j4Z-⊂htZ≥⊂htZ≥_itZ-λht:-i4Z=_i4:=⊂htZ=⊂i4:-λhtZ=⊂ht:-⊂itz-λi4:≥htZ-⊂i4:-λitz≥λht:=⊂h4:≥λh4→|xht:
λh4~-h4:
⊂htZ≥ht:≥λhtZ≥λht:-λi4:≥⊂i4z]0ktz]8jt∃I_J#q(8D"1i_K$rλ`Eb1HpGcqhxG$2λpI$⊃yG#qiGd∩YI#qxxGe∩_hFcr_xHd⊃yλGd1yH#2λXFcr(xGcQhxG$∩→G$⊃hpGd2λpGcR	⊂H#RλxHd⊃hxFc1iI$⊃xpH#⊃xpG$∩(pG"q8HDbQ(PF#1h`F#⊃XhG#q8hG#qX`G#1hhGcQXhFcQxxFc1xpH#r	G$∩	⊂I#QyλHd⊃xpFc⊃X`F#1XhG#1IλHcQxhI#qyH$⊃hxG#rλ`FcQxpF#rλxGc⊃hpF$⊃xpH#r→Fc⊃(PF"Q_XF"q8hFcQhpF#⊃H`Fc1hPFbqH`Ed⊃xxFbqHPEbq8xFbqhhF"qXhFc⊃xpH#Q8HEb1(HE"QHhG#Q8XFc1HPFcRλ`Fd1h`G#QxhFc1xpGd⊃xpGcr	λHd⊃xHFd180A P(_A`oGP=∨∂GpFiw<0g4:≥λht:xh4~
λht→|xh4:
h4:xgsz
λhsy|pgt:≥h4~≥ht~
λhtz
gt:≥h4Z-λi4:≥λhtZ-⊂ht:=⊂h4:-⊂i4z=⊂iu~M_i4z=_i4Z,xi4~≤xgsY⎇hsz
λh49lxgsy⎇gsY⎇hsy⎇gt~xh4:
⊂ht~
λht:≥λh4:≥h4→⎇gsz≥htZ≥h3z≥⊂it:
htz≥_i4:=_ht~
⊂i4:≥λitz-⊂i4Z-⊂i4Z-λi4Z-⊂i4Z≥λi4ZM_itz-⊂it:
⊂htZ= i4Z-⊂i4~≥λhtz-_itz= i4Z-_i5~=λi4ZM_itz-_j4z=_iu~M_i4Z=(jtzM ju:m(k5:⎇8kv≠
@gsymgsz
gsY⎇gsy⎇λgsz
λh4:≥h3z
h4Z=λh4:
gt~
h4Z
ht:-_i4:-⊂it:≥⊂htZ-_i4Z≥⊂i4Z≥⊂j5~≥λi4Z≥_i4:-_j4Z-_htZ-⊂i5~-_itZ=_it:≥λhtz=⊂i4Z-⊂htz≥⊂i4:-⊂htZ=_itz=_i4z-⊂i4Z-λh4:-⊂h4:-⊂it:≥λh4Z-⊂ht:≥λh4~
λht:≥λh4:-h4Y|xhtY⎇h4Z≥λht:≥⊂i4Z≥⊂itz-_itz](k5:]0jt∃Y⊂GcPh8D"1hxHe2IEb1hpG#R_xHcr)Hd29λG$∩_pGd∩λxGd1xxH$1iId2	λH$r	H$∩	λHcRλpG#R→H#QXhG#qxpG#rλhHd2λxHd∩)Gc2→λG$R_pGdR→G#qhxFbr→λIe2λpFc⊃HHE"q8XDbq_xGbqh`G#Q8xF$⊃hhG#R(xGcQxpG$⊃hhFcQhxHcQXxH$r→λI$1xhFcQxpI$⊃HpF#RλpFd1iId⊃XpI#r→⊂H$1yFc1xhH#1H`G#r→Gc2	λG$∩λpHcQxxG#18PDbQ_`F#QHXF#QhpH#QhpG#⊃(`GbqH`Ed2λhG"qHHEbqHXGc18hG#1X`G#1XhG#qhXE"1_PE"QX`F#⊃XpF#1HPGc1XhG$⊃xpFcqX`F#rλpFc1iG$∩	λHdR_`Dcr(0?ap8_@`/gH=↑OWhFiwL@h4Z≥h4~
λht:≥λh4:≥ht9|xgt:≤xgt→⎇h3y|pgt:≤xht:xh4:
λht9|xgt~
λhtZ-⊂i4:≥⊂ht:-λh4:-⊂i4:=λitz-_itz=⊂htZM_j4:≥λht~≥g4~
gt~
h4:≥h3y|xgsY⎇ht→⎇h4Z≥λh4:≥i4:≥λi4:
λht:-gt~
h3Y⎇λi4Z-λi4:≥⊂i4:
λitZ≥λi4Z≥⊂i4:≥_h4~≥λi4z-⊂i4Z≥_i4Z≥λitZ-λi4Z-λht:≥⊂htZ-⊂ht:-λhtZ=⊂htZ-λi4Z-λhtZ-⊂itZ-λhtz-⊂itz-⊂itZ=_htZ=_j5~M⊂i4zM⊂itZ= ju:M(juZm(ju:⎇0ju{
@g3y|xgt~xh3y|xh3zxgt~≥λh4~
h4→|xh4:≤xh4:
λi4:-λht:
h4:-⊂htZ≥_it:≥_i4Z-⊂htZ≥λhtZ≥⊂itz=λi4Z=_i4:-⊂i5~=_itz-λitz=_i4Z=_j4z=_iu~=λi4Z
⊂i4Z≥⊂i4z]⊂htZ=⊂i4:≥⊂itZ≥⊂i4z=⊂h4Z≥⊂ht:
λitZ≥λht:≥⊂i4:≥λht9⎇λi4:≥λht:-λht~
λi4Z
h4:-λh4:≥⊂i4z-⊂i4z- itzM(kuZm0isuhpF#⊃_XE"QyH%∩_hE#∩λpHcr_xId∩→λH$∩→λI$∩→λGcR	⊂Fcr	H$R)Hd∩_xHcqyλHd1hxH$⊃xhG#QhpGcqiGcr→H#r→⊂Gd1iλI#r9Gd2)λG$∩_xGd2_xFcqhpFc2→⊂Idr→λG#1XhE#QxXFc1HpGc⊃X`Gc⊃hpEbqhpF#QxxFcr_xGd⊃hpFcQy_Gd⊃xxHd∩9λH#rλpGd∩→H#QXpFcR	GdQxhI$qhpI$∩λxGdR)λG#qXhG#qhxGcr→λGc1HhH$2)H#QhpEc⊃(hEbqXxGd1x`F#⊃XpF$∩λpF#⊃HhGcQX`F#Qh`F"qHPEbQ(HFc18pEc⊃XxFc1HxGcqxhEbq(PEbq8hF#QXXEbqHhFc1xhG$⊃xpFc1H`Gd∩_pFc18xGd2	⊂I$r9λCbr_pA 0x8@←O7H=≡oGxFjW\Pht:
λhsz
λht:
λg3Z
λh4~≤xh4:
h49lpgsY\pgt~xh4~≥λh4→⎇h4~xgt~
λht:≥⊂itY⎇λi4Z-htZ-⊂i4z-⊂i5~=⊂iu~≥_itz=(i4Z≥λht9⎇gt~-gsY⎇g3z
gsy⎇h3y|xht→|xi4Z≥⊂ht:≥λhtZ≤xi4z
λi4Z
ht~
λhsz
λh4:-⊂i4:≥⊂htZ
λi4:
λht:-⊂ht~-_htZ≥htz-⊂ht:≥λht~
⊂i4Z≥λht:
⊂i4:≥λh4Z-⊂i4~≥h4Z-⊂i4Z-⊂htZ-⊂htZ-⊂i4Z=⊂itz=_i4Z-⊂i4z=_htZ=_i4Z-_itzM⊂itz=_iu~M j5Zm0k5Z⎇8k5z⎇@gsY|xg3zxgsy|xgsy⎇h4:≥λh3z
gsylxhtZ≤xh4:≤xh4:≥λit:
ht:-λh4:≥⊂i4:≥⊂itz-_i4Z≥h4:≥⊂i4Z-⊂i4zM_itz-⊂itZ=⊂i4:-⊂i4ZM itZ≥_j4Z-⊂iu~≥λhtZ
_itZ-⊂i4z-⊂iu~-htZ≥⊂it:≥⊂htZ=⊂h4Z-_i4:≥⊂i4Z≥ht:≥⊂i4~≥⊂htZ
λi4:≥ht:≥λh4~
λh4Z≥h4:-h4:≥λitz=λhu~M⊂j4ZM0ju:](j46→Fc1HHE"qiI%∩)EcR_xH$2	λI$2IλH$1xxId∩	λHd∩	λGcQHxH$1yI#R_xHd⊃iHdrλxH#r	FcQhxGcQyGd⊃i⊂I#r→⊂H$2	⊂Gd⊃xpHd∩	Fd∩	_HcR	G$∩	Gcr	λH#r→ Gc1XhG#RλpGc⊃8XFc⊃h`G#qyλFc∩λxFcQhxGd⊃hxGd⊃h`Gc1y⊂H$1xxH$∩)⊂Hcr→I$⊃yλG$⊃XpGcqxxH$R(xGcqxpGd2_hGd1yFcqxhG#qx`Fd⊃xxH#1HhH$1xhH#QiGcQXpFbq8`G#1h`F#QXxFcQXXEcQXpFc1H`F"qHxFbQHXG"q(XFc1(`E"qXpGcqXxH#rλhEc⊃8`Ec1xpEcQ8pFc⊃IF#1xhGcrλhF#Q8XGd1hhF"qXpHd2	⊂J$R→ F#⊃XxC`P(⊂@←/↔P<↑oGXFk↔\HhtZ≥⊂h4~ph3z
h3Z
ht:≥gsz≤xgsZxh3z
htY⎇h4~
λh3y⎇h4Z≥h4:≥⊂h4~≥λi4:xi4:-_htZ≥λhtZ≥i4Z-⊂i4z=_itZ=(j4:xh4→⎇h4~-λhsY|xg4~xhsz≥λgt~
h3zxh4~xh3Y⎇h4~
i4zph4→lxh4~≥λht:≥htZ-λht:-⊂ht~
⊂j4z=ht:-⊂ht:≥⊂ht:
⊂htZ-h4:≥λhsz
⊂i4:≥λht:≥λht:=⊂i4:≥⊂htZ≥λhtz-_itZ≥λht:
⊂htZM_htz=_i4z=_itZ≥⊂i4Z-_ht:≥_itZ-_iu~M⊂itzM j5~M ju~M(j5Zm(juzm8g4~pgs9|xh3z
λh4→|ph4:
h4~-⊂ht→|xh4:
h4~≥⊂gt9⎇λht~≥λi4~-λh4:≥λi4:=⊂i4Z=⊂i4z-λh4Z≥⊂ht:-⊂i4Z-⊂ht:≥h4Z-⊂j4z-_i4ZM⊂i4Z≥_j4z=⊂iu~=⊂htz≥⊂i4Z-⊂itZ≥⊂i5~=_itZ≥⊂i4Z-_i4z≥λi4z≥⊂it:=λi4Z≥λht:-_i4:
λhtY|ph4Z≥h4:≥λht:pgt:≥λh4~-⊂htZ≥λit:-λi4zM⊂i4ZM(k5zm(jtVλxFcQ8HEc⊃i JdR9Ed∩	λH$29⊂I#r	_GcQhxHdR→⊂Hd1yλH#QxhHd⊃HpHd∩	λHcqyH$R(xGd2_hF$⊃xpGc1iHd2	λH$∩	λH$1yH#qiGcR	_Fc2	Hc2	λHd2_xGcr9⊂I$R	IcqhhG#1XhF"qHXGcRλpF#QiλEd∩_xHcRλpGcqhpFcQhpH#r	⊂H$2λxHdR)H#r(pG%⊃y⊂GdqxpHd⊃hpGdR	G#qxpHcr_pG$1xpG"qxhG#QH`Gd∩HpGcr	H#r	HcR	⊂H#⊃y⊂F#18`FcQ8`EcRλxG$1hhG#Q8hE"qxpG#QyGc⊃hpFcQX`E#1hhEbqH`G#⊃yGd2HXDc⊃XPEbqhhFd⊃XpH#⊃HxH$⊃yλFcRλhF$1hhGd∩	F#⊃iJd⊃xxIdR→λG#QHpF!⊂8⊂A←O7P=≡OG`H+↔lXhsz≥λgt~,xht:
λhsz
λh4~≥h3y⎇gsY|xhsz≤xh4~
λh3y⎇λht~
h4:≥λh4:≥_i4:-⊂it:-⊂i4:≥λi4:-λhtZ-⊂itz-_iu~M i4Z= i4:
i4→⎇h3z
gt~
gt→|xh4~
gt~≥gt→⎇h3y⎇h4Zxgt~
⊂htZ
h4:
h3z≥λh4~
λi4:≥λi4~-⊂h3ymλht~
i4Z≥λht:-λht:≥λi4Z≥⊂i4~≥⊂h4~≥λht:-λh4Z≥λht:=⊂it~≥⊂i4:≥ht:-⊂i4Z-_i4~
⊂i4:-⊂h4:-⊂htZ=⊂iu~-⊂i4:-⊂i4~= itz=_i4z=⊂i4zM_j4zM_j5~M juZm(k5Z⎇@gt:xgszxgsY⎇gt→⎇h4:
λh4:-λht~xi4~≥ht:≥λh4:
λht:≥ht:≥λh4Z=λiu~=⊂ht:≥⊂itZ=⊂htZ≥λi4:-⊂i4:-⊂ht:-⊂htZ-_itz=⊂itZ-_itZ=⊂i4z=⊂itz-λhtZ-⊂i4:-_j4z-⊂htZ=⊂i5~≥⊂i4Z-λi4z=_itz=⊂it:≥⊂htZ-i4Z≥htZ≥λht~
i4Z≥λhtZ
⊂ht→|xht~
h4:≥⊂ht~≥λi4:=htz= ju~]0k5Zm0j4v8xG#18PD#r90Jdr9F$29 I%∩)λHd2	⊂I#qyHd2→⊂H#qYIcqyG$1iI$2	λHd∩→λGcR	λG$∩_xF#RλpGc2→_I$r→⊂Gd∩λpGd2λxHdRλpGd∩→_H#r→H$qy JdrλpHdRIλI$∩	⊂H#QhhF"qHpF#1X`F#⊃hhFc1iG#2λxGcqxxG#qiGcqxxH$∩	λI#QXpH%∩9H$∩→⊂H$R	λHdqhpG#qyH#1XxGcRλxH$1xpGcQhpG#QYλG#2_pG#qxhGcQhxHcR	λH$R_xI#QXpGc1hpFcQyλGc2(pGcqX`G#⊃H`F#2	F#qhxG#1h`F#RλxG"qHpF#⊃X`EbqxhGd2(`Fc1H`Ec⊃H`GcqXpGc1iGd⊃yGd1yG#qxhG$∩λpFd⊃HxG#1hxH#qxxI$⊃H`G!Ox_@←OGX=≡∂7xGjW|@gt:≥h4~≤xgsz
h49⎇h3y|xht→⎇⊂gsY⎇h3y|xh3y⎇h4~
λhtY⎇h4:≥λhtZ≥⊂ht:-λi4:≥λh4:≥i4Z-_htZ≥⊂i4z≥⊂itZ=_i4Z=⊂i4~
h4→⎇gsylxgsz
gt~
h3y⎇gsz
λh4~
g3Y|xg4~≥ht~
⊂i4Z
h4:
λh4→⎇λht→⎇ht:≥λi4:≥⊂ht9|xh4:≥λi4z=⊂i4:≥⊂i4Z≥λi4z-⊂itZ-⊂ht~
λh4:-λh4z=λht~-λhsz
λi4:≤xhtZ≥λi4Z≥⊂h4Z
λh4z=λhtZ=_i4:-λhtZ=⊂i4Z-⊂itZ-_itZ=⊂i4Z-⊂i4z= j5~=_ju:M iu~m0kuZ⎇@gt:
h4~
h4→|pgt~xh4~
ht:≥λht~≥λht:≥λhsy⎇λh4:
λhtZ≥λht:-λhtZ≥λhtZ-λi4Z-_htZ-λi4:≥i4Z≥λitz=λh4Z=_itZ-_itz=_i4z=_itz=_i4z-⊂itz=⊂i4Z=⊂i4Z-⊂itz≥λhtZM_htz≥_i4Z≥i4z=⊂i4z-⊂ht~
λitz≥i4:≥gt:
λh4~
λi4:≥λht~≥ht:≥λht:
h4:≥⊂ht~≥λi4z-⊂i4Z= i5~](juz⎇0j4V8pE"Q8@B$∩y(HdR9λEd2→λH$29λH$r	⊂HcQyλH$Qy⊂Ic1xhHd∩→Fd∩λxI$2	⊂HdR→_Hd∩→H$2IF#QhxFc1xxH$29⊂HdR)λId⊃yλH$R(xGd2	λH#r→ IdR→⊂I$r(pH#r)⊂Hd∩→⊂I$⊃hHF#⊃8hE#⊃YλGcqh`G#QxhFc1xpGcQy⊂GcqxpG#qxpG#R	⊂I$1xxI$R)λHd2)_H$⊃xxHdqYFd∩	Gd2	H$2_xGcRλpHcQxpG#qyGcR→λH#1hxG#QyG#2λxGdr(xHd1xxHc1xhGd1XpHcQyλG#1hpFc∩λxGdQhpH#qyFc2λpG#rλxFbq8hFc1X`E"qXxG$⊃xhG#qH`Fb1_XFc1XpFd1xhGcqIGd2	G#QxxG$2λpFcQHxF#QXxHc1hxGd1xPFc0X?↑oWP=↑OG`IkwlHh4Z≥λhszxg4~
λht→⎇h4~xhsz
g3ymh3zxh3y⎇gsz
h4~
λh4:≥⊂ht:-⊂ht~≥λht~≥gtZ-λht:≥⊂i4Z-_itZ-_htZ=_i5~=⊂i4:≥h4:xgsy|xgsZ
gt~≥h4~
λhsYmh4→lxgsy|xgsz
λht:
λi4Z
h4:≥λh4~
ht:
h4:≥ht:≥λh4:
λht:-λhtZ-_i4:-⊂i4Z≥λiu~-⊂itz-λh4:
⊂itZ≥λht:≤xh4:-_i4:≥λhtZ-i4Z
⊂it:
⊂h4:≥λhtZ-λhtZ-_i4:-⊂itZ-⊂i4z-⊂itZ-_itz=_j5~=_i4ZM_j4z-⊂i5~M j5Zm0kv≠≥Hgsz
gsz
λh4:≤pg3y|xh4~
λht:≥λht:≥λi4Z≥ht~
λgt:≥ht9⎇⊂ht~≥λh4~
λitZ-⊂i4z≥⊂i4z-⊂i4Z≥⊂i4Z=_itz]_itz=⊂itz= itz=_htZ-_itZ=_i4z-_itzMλi4Z=⊂itZ-λhtZM_itz=⊂i4z-_itz=⊂i4:≥λi4z=λh4~
λhtZ-λi4:=λh4Z≥λht~
λhtZ≥λh4Z≥h4:≥λh4:≥h4Z
⊂it:≥⊂itZ≥⊂i4:≥λi5~] ju:⎇0k4VyFbq(HC#Ri_GdR(pDd∩→⊂H$2	λGcr	λI$1xxHd2	⊂IdR→⊂I#r9 H#r	H$⊃y⊂HdR→λI$R→⊂G$29⊂Gd∩	FcqXxGd2→λGd∩)λHdR)⊂I$2)Gd1hxGcr→_H$∩	⊂HdR_xGcr	λHdR9λId1hPF#Q8hF#QyλH#QxpGcrλ`E"qiλFcRλpH$Qx`G#QxxFcqyH$⊃xhHd⊃yλJ$∩→ Hd⊃y⊂Gd1XpGcQi⊂Gcr→GcqxpGcQhxI$⊃hxGd∩λxG$QxhFbqX`F#1xpG$2λpIdr)Gd⊃HxHcQhpGdQh`GcR→Gc1h`Gcr→⊂H$⊃hpGcRλhEc1HxFc1hxFc⊃8hG#QhhF"q8pG#Qx`Fcq(XG#1(`GcQxpG#1XhEcQhpGcR_xG#1hxFcQX`Gc1HhF#1xxG#2→H$RλPDc180@←/GX=≡o'hG*wlPhtZ≥λhsy⎇h3z
λh4→⎇h3z≥gsY⎇gsz
⊂i4→mh4:
g4→|xgt~≥λh4:
λi4~
λht~-λi4:≥λftZ=ht~-⊂i4:-⊂i4Z≥⊂i4Z=⊂i4z-_it:-λh4:hg3ylxgt~≥λgt~
λh4~
λhsY\xh4→lpgt9⎇h4~≥i4Z
λi4Z-⊂gt~≥λht:
h3y⎇ht~xh4:-h4→⎇λhtZ≥λi4Z-⊂htZ≥λi4Z-λh4Z=λhtZ≥ht:
⊂i4Z≥h4:≥λht:≥_j4:-λhtZ-λht:-⊂it:
⊂htZ-⊂h4:-λht:-λht:≥⊂i4z-⊂h4Z-_htZ≥_j5~=_j4z]_itZM j4Z- iu:] j5:m0k5z⎇Hh4~
h4~
h4→|xgt→]h4:-i4Z≥ht~
i4Z
λht:
λh4:xi49⎇λht~≥ht:≥_itZ-⊂i4z-_i4Z≥λi4:-⊂i4z=⊂i4Z-⊂i4Z=_itz=_itz=⊂itz-⊂i4Z=_itz-⊂itz=⊂i4z-_itz=λi4z-⊂i4Z=_i4Z-_itZ-_iu~=⊂htZ-_i4z≥λht~
⊂i4z-_i4Z≥⊂i4Z≥gt:=⊂i4:≥i4:≥λht~
h4:-⊂ht~
λj4:-_i4z-λiu~](k5:⎇0jt6yλDapxHEd∩y8GdR8pE#r→_I$QyGcr	λHdQiH$R)⊂I$r	_Gcr)⊂Hd1y⊂Hd∩	⊂Idr	I$r9⊂Hd29 GcQiλH$⊃xpH$∩λxI#r)⊂GcQy⊂J$R) IdQyλI$2)⊂Gd1yλH#r_pGcR→⊂Idr→λGdr_pF#QXpFcqxxHd⊃XxG#QHPF#QiH#QXpGd1hxH$∩	λHcR)_H#rλxGcqi I$∩)⊂Idr)H$qxXFc2λpH$∩	λH$⊃xxH$2_xG#rλpH#QyH#qHhGcqxXG#⊃xpFcqyGcr	HdQiH#QxxG#qxxG#qxhGd1hxG#r	H#1yλG#QxXG#QhpF#1xxEbQH`Gc1hpF#qhpGd1hpF$⊃H`G$⊃8XG#⊃yλG"qXhG#⊃yGcr	GcqxhFc1iλH#1XXG#1hpG#1XhH$1xxEb1HhC←∂'H=↑/7hG+_Ph4z
ht:≥h4~≥λgsy⎇g4~
hsy⎇λgt~
ht→lxh4~
gsz
h3Z
λh3z≥ht:≥λh4~≥⊂ht~≥λht:≥λht~≥λht~≥_i4zM_htz=_j4z= i4~≥g4:pgsymλgt→⎇λgsy|xgt→|xgsy\xhsylhgt:
gt~-λh4Z≥_it:-λh4:≥λht:≥λh4~
λi4~
htz≥λh4~
⊂ht:≥h4:-λhtZ-λi4:-⊂i4Z-⊂itz
λht~≥⊂i4:
λhtZ
λht:
λi4Z≥λhtz≥h4:≥λhtZ-⊂ht:≥⊂htZ=_i4:-⊂i4Z-⊂itz=λh4:-_i4Z-_itz- jtz= itzM jtz=_j5:M k5Z]0l5zm8gt~
h4~
ht→⎇h4→|xh4:≥λht:
i4~≥λi4:
λht~
λht:
λht:≥htZ≥λi4:-⊂i4Z≥⊂i5~]_i4z=⊂ht:-_i4z=_it:=⊂i4Z≥_itZ=_j5~=_itz=⊂i4~-⊂itZ-λitZ= i4:=_itz=⊂itZ≥λitz-_i4z-⊂i4Z≥⊂j4z=_itz=_i4Z≥⊂ht:-⊂htz-⊂i4z-λhtZ≥λh4:-λi4:
h4~
λhtZ
h4ZM_ht~
λi4Z-_iu:Mλitz]0k5z⎇8itWλhC!0hPF"RY⊂G$∩_hEe∩) Hd2)λHdR	H$2	⊂I$R9_Id2)⊂HdR→λGd∩	⊂I$r	λH$2)λH$R_xHdR)_Fc∩λxGc1xpG$∩	λH$∩9λH$1xxHdr9⊂HdQi⊂Id2)⊂I%∩	λI$2IλH#R	I$1y⊂Gd∩8pFcQhhFc∩	G$⊃X`G#QxXF#⊃YH#QxpG$∩λpG$∩)λGcQxpFdR	Hd⊃YI$2→λHd2→λGdQXPDc⊃8pG#r→⊂Hd⊃iHcqyFd2(`H$r	I$1XhF#QxhH#qhpGcr→I#r	λG$∩	H#QxhGd⊃xxGcqxpH#⊃x`H#QyGc1XhG#QhpH$∩λxGcqxxG#1XxFc⊃hpFcrλpH$⊃hXF#qXXFcqiλGcqxpH#QxxG#1hpG#qYH#rλ`Fcr)G#Qh`F#QXhFcQhxG$2_hEa⊂hHE ∞w@<]O↔hGk7<@htZ≥λht:≥gsz
λh3y⎇λh4→|xh3Z-λgsz
λh4→|xi4:≥gt~≥h4→⎇λgt~
λgt~-⊂ht:≥⊂i4:
⊂ht:-i4Z≥ht:-⊂itZ=⊂i4Z=(itz-_j4Y|xh4→⎇gsy⎇gt→|xh3y⎇g3Y|pgsY|xht→lxh49⎇λgsy⎇h4Z
⊂ht:-⊂i4:≥λi4~≥h4→⎇ht~
h4~≥ht→⎇⊂it:≥h4Z=λi4:≥λht:
⊂i4z≥λi4Z
λi4~=⊂gt:
i4Z-λhtZ-i4:-λi4Z-λh4~≥⊂ht:≥⊂i4Z
⊂htZ-λht:≥⊂i4Z=⊂itZ=λht:≥λi4Z-_i4z- j5~M itz=_ju:=_j5~](ju:m0l5z⎇@gsy|xh3z
ht~xh4~
ht:xht~≥⊂i4~M⊂ht9⎇h4:
⊂ht~≥λh4:≥λht:≥⊂ht:≥_i4z=i4z-λi4Z-_i4z≥_itz-_i5~-_itZ-⊂i4:-⊂iu~= i4ZM_i4:-_itz≥⊂j4z=⊂i4z-_itZ-⊂itz≥⊂i5~M_i4z≥λht:
⊂itZ=⊂i4:=⊂i4:-⊂htz=_i4z=_htZ-_i4Z
λht:-λi4:
λht:≥λht:
λgt~≥⊂h4~≥⊂itZ-_j5~=⊂itzM0kuzm8jtWλPB`0_0D"⊃H`FdR_`GeRIλJ$r→⊂H$⊃yGdR→λIdR→_Hd∩→⊂Idr)λHdR→⊂Je∩I⊂H$r9_HdrI⊂K$QyλG#Qy⊂Hd∩	λH$r_xH#r	λH$1xxH$R)H$2	λId2	λI$QiλH$2)⊂H$2	λH$R9⊂Hd⊃XpG#Qh`E#1iFc⊃HpG#qhhG#QhpHe∩)H#r_pG#r→FcQXxHd1xxI$r	λI$2→Hd⊃yλFc1XXF#⊃xxH$⊃yλHcq8xHcR	⊂Gd∩_xG#rλxGdR(xGcqxxH#QXxI#2)⊂HdQy_G#r	λG#1XpHc∩→G$QiH$⊃yHd⊃iλH$⊃hpG#1YH#rλpGcqhxG$1yλFcqxhGcQyH#Qh`F$qhhFd⊃xxId∩_xGcRλhGc1hpF$1xxH#qX`F#r9H#QhpHd1XXG#1hxGcQXhEaqλ8D /π8<≡∂'xIk7\Xht:=⊂ht~≥λh4→⎇h3z
gt~≥h3ymgsz≥λh3y⎇ht9⎇λh4:-⊂i4~
λh4~
⊂i4~
ht:-λi4:≥⊂htZ=λi4:
λitZ=⊂j4z=λhtZM⊂i4Z=_i4→lph49|pg3z
λg4:
ht9⎇h4→⎇hsZ
ht→⎇ht~
h3z≥λi4:
λi4:≥h4:-ht9⎇h4~
h4→mht:-h4:
λht:≥⊂htZ=⊂ht:-λh4~
λi4z-⊂htZ-λi4:-⊂h4~
i4:≥ht:-⊂ht:≥λitZ≥h4:≥⊂h4~≥⊂i4:≥⊂i4:-htZ-_it:- j4z=λi4Z≥λitZ-⊂i4Z-⊂iu~=λitZM_j5~=_j5:M(j5~m8k5Z⎇Hgt→|xh4~≥λht→|xh4:ph4~
h3y⎇⊂ht:
λht:
htZ≥λh4~xgt~
λht:-⊂i4Z≥⊂i4Z-λi4Z-λi4Z-⊂i4Z-_itz=⊂i5~=⊂iu~=_itZ=_itZ=_i4Z=_itZ=⊂htz-⊂itz=⊂htZ-⊂itZ-_jtz≥_itz=λi4Z-⊂htZ≥λi4Z-⊂i4:=⊂i4Z≥_i4Z-⊂ht:-_i4Z≥_j4Z
⊂i4Z=_ht:
⊂i4:=⊂ht:xhsz
λgt~≥⊂ht:-_itz=_itzm8k5Zm8k4W(hB!080A`phHHd2λ`Ge∩(pGd⊃yH#qYI$2Y⊂I$r)Hcr→ I%∩)I$R→⊂IeRI(I%∩9⊂IdRY⊂Ie∩→λHcQxpId29_I$R→⊂I$2	λId2λxGd2λxH$∩→λH$2→λG#r9λG$2→⊂Gd2)G$2λxGcr→E#1XpF#⊃yλH#1xhFcqXpGcr→HdR	λI#QyλGdrλxG#QyIcr	Hd⊃yGd29λHdR)G$2λxEcR	Gd2)I#qXpH#r→⊂G#R_xGcqyH#r	Hd2	 GcR	Gd2	λHc1iHd2→FcqxxGc⊃hxG#qhxGcQYλI#QYλHcqhhH$⊃yH#Qi_H#Qx`G#qhhFc⊃xpF#Qx`F#qhpG%⊃h`Fc∩_xI#r	_GbrλxGc1xhG#QXpH$⊃xxG#QxxG"qhhG#qhpH#QhxGc1XhF"1λPCa∂7P<]o↔pJ,_≤`htZ≥λhsz
gt~xgs→|pgt:pgsy⎇h4~
h3z≥λh4~
ht:-⊂hsy⎇λh4:≥λht:≥λht:≥λhsz-i4:≥λh4~≥⊂itZ-_i4z-λhtz≥i4:=_it→lxh4:ph3y⎇λg3z≥ht:
h4:
hsY|xhsz
h4~
g4:≥λht~
i4Y⎇λh4~-ht:
λhsz
⊂h4:xh4Z-⊂i4Z≥ht~≥λht~-_ht~=_it:≥⊂itZ-⊂itZ≥⊂i4Z≥λht:≥h4~
ht:≥⊂i4z-⊂ht:≥λht:≥_h4~≥⊂i4Z≥⊂i4~,xhtZ≥⊂i4~≥_itz-⊂j4Z-⊂htZ= htZ-⊂i4zM⊂i4:-_iu~=(j5~M(j5zm8k5{
8gsZxh3zxgsy⎇λh4:xgt~-⊂ht→⎇λht~
htZ≤xh4:≥λh3ymgtZ≥λhtz≥λi4Z-⊂itZ≥⊂i4:-λhtZ=⊂i4Z=_j5~-⊂i4z=⊂j4Z-_j5~] j5~M_itZ=_itZ-_i4z=_itZ=⊂i4:≥λi4z=⊂iu~=_itZ-_i4Z-_i5~- itZ=⊂i4z=λht:
⊂i4:-λi4Z≥_i4Z-λhtZ=⊂htZ=⊂ht:=⊂ht:≥λhtZxht~
λht:
⊂h3z≥⊂i5~] iu:M(ku:⎇0jtWXXA PX_Ba⊂XHHcqHXH$r→⊂G$2)⊂Hd1yHdR)_I$R8xIdR)λIdr9_Idr)⊂HeRYλIdr9λI%29_J$r) H#QhxH$∩I⊂IdR	Hd2)_I$R9GdqyI$R)_I$R) HdR→Hd∩→⊂HdR→λI#qyH$2)F#⊃hxH#Qi⊂HcqhhFc1yGd∩	λH#R	⊂Gd⊃iλH$1iλH#QyλHd⊃i⊂IcqyHd2)I$R9λHe∩λhF#1XpH$2)λHcqXxH$R	G$∩	GcR	λGcQYGcr_xG$∩→G$⊃yHcR(pGdR→⊂Hc⊃hhH#1xxGcQxhFcQxpGd⊃HxH#qxhG#1xpGcr	_H$∩_XGcR_hFcR	Fc1xpFcqHpH$qX`Ec1xxHd⊃hhG#QiGc1iGcQXHFcq8hGc⊃XxF#⊃(XF#QXhGcqX`F#1xhE"qλ@Ca∂WH<≡O'pI+x≤`h4~
h4~≤pg3ylpg3~phtZ≤xh4~
λht:
ht~
gt~≤xht:≥λh4→⎇λh4~
⊂ht~-λh4:
h4~
λht:≥ht:-⊂itz≥ i4~-⊂i4Z=⊂i4z=_it9|xh3y|hg3y⎇λh3zxht9⎇h4~
gsy|xh4→⎇λh4~pgt~≥λh4→⎇h4:
λgt~≥gt~-⊂ht:
⊂i4:pht:≥ht:≥λit:≥⊂i4z-λh4:≥⊂it~
λhtZ≥_i4Z≥⊂ht:
λh4:xht:≥λi4:≥λhtZ≥i4Z≥λh4:≥⊂htZ-⊂i4z
λh4~≥ht:
λht~≥hu~≥λht:
λh4:=_itzM_htz=⊂itz=(i4Z- j5~M ju:]8kuZ⎇@h4~xh3Y⎇h4~≥⊂it:xgt~=⊂hsz≥⊂i4:
λh4Z≥λhtZ≥λht~
i4Z≤xh4:≥λi4Z=_itZ-⊂i4z=⊂i4Z-⊂ht:=_j4z≥⊂j5~M_itZ-⊂itzM j5~= iu~=_itZ= j4z= iu~M_itz=_i4z=_j5~=_itzMλi4Z-⊂itz-_itzM_j4z-⊂i4Z-⊂itz-⊂htZ-_i4:≥λh4:
⊂ht~-λht:≥⊂it:xgt:
i4Z-λht:
λh4~-λi4z= j5~]0l5Z⎇0jtWyC`P((C!⊂80H$Qλ`IdR)λG#R→_H#R)Hdr→_Hdr)_IdR9_K$rI_Ie∩9⊂H%∩)⊂J$2I(I%∩9_Ie∩→⊂H#r	Gcr)⊂IdR	G$2)_I$2→GdR→λI$2→λI#r	⊂I$29_I$∩→GdQxpId∩λpH$r	F"qhpFc⊃xpFd⊃yG#qX`Hcr8xGcR	λH#r	⊂HdQyH#2λxHd2→λHcr→λGd∩8xI$r→⊂H$R(`G#QxxGcr9_Hd2)⊂Hd∩λxFcqhpGcr	⊂H$∩	G#r	Hd2→⊂HdQhxHcrλ`FdQhPI$⊃IHcQxxH$∩_pHd∩λpG#qHpFd⊃XXF#⊃xpG#r	HcQxhFcRλpG#qhhFc⊃XpG$RλxH$1h`Ec1hxGc⊃8`G#⊃hpF#⊃8pG#Q8hG#QXhEc1H`G#⊃hpG#qIGcQHPEbQX`EbQ(8C og@;↑∂GhIk7|Hht9⎇λh4Z≤xh4:xgsy⎇h4→|xhtZ
ht~≥ht→|xgt~
h3z
λh4~
λh3z
h4~≥⊂htZ
λi4:≥λht:-λht~=⊂i4:≥⊂i4Z
⊂i4Z=⊂i5~=⊂ht:
gsy⎇h3z
gt→|xh4→mhszxg3Z
h4~≥htZ≤xh4~≤xh4:
gt→lph3z-λht:
i4Z
λitZ≥λht:=⊂h4:-⊂i4Z≥htZ≥ht:≥⊂h4~≥⊂h4Z-⊂i4:=λht:≥λht~≥ht~≥⊂i4Z-⊂i4~≥⊂i4Z≥λht:≥λh4Z≥htZ
λht~-λi5~≥λht:-⊂htZ≥htZ
h4~-_iu~-_i4z-_i4zM i4z= j5:= j5:m0juZm@gt:≥ht~≥gt:≥_hszxh4~≥λhsz
⊂h4~≥ht:≥λgt:-λh4~
⊂ht:
h4Z-ht:-_i4Z-⊂i4z-⊂i4:M⊂htZ≥_jtz= ju~M_it:≥_itZ-⊂i4z=_itZ-_itZ= j5~-⊂j5~M⊂i4z= iu~-_j5~=_itz=_i5~=_itz- ju~M iu~=⊂htZ-⊂itz≥λitZ≥_itZ
⊂htZ≥λh4:≥λi4:-_i4:
λh4:
λhtZ≥ht~≥⊂ht~≥λitzM_j5~M(k5zm0jtx→⊂D!⊂x(C pHhHd⊃(xIe∩9Hd∩	_H$∩9I$RI_I$r9_IdR9λIdrYλIe∩II$rY_Hd2)⊂I$rI(J%∩→λF#r)λGdr)λHe2→H$∩)λH$∩→⊂HdRI⊂H$R→Hd2→⊂J$RλxJ$rλpGcr_pI#r	H$1XpEc1iλH#r→G#r	Gd⊃XxFc2(xH#QxpFd2	λH#r)Gcr	J$⊃y⊂HcR	⊂H$∩	λI$2→λGd∩_pI$2	λGcr)⊂I$2	λJ$R→λG#R→λI$∩	_I#R9H$qyI$∩	H$2λxJ$QiH#1HpId⊃xxGcQxpGd⊃iλHcqyFdq8hFcQYF#1hpHcqyHcqxxH#QX`F"q8XE"QHpEc⊃hhGcR_`F#1HpHc⊃HxGcQxxF#1hxG#⊃HhGcQXxFcqH`G"18XFd⊃(XDc⊃(0D"0x8D"⊂xHDaP'X;≡/7pJl_Pht:xhtZ
gt9⎇h4→|xh4→⎇h4:≥hsy⎇λh4~
λh4~
λh3Z
λh4~≥λht:≥ht~≥λh4:≥λit~
ht:≥h4:-⊂i4Z-⊂itZ≥λhtz=_i4z=_i4~xh3z≥g3y|xh4:
λht→mh3ylxgsz
h3z
λh4:≥h4:
λh49|ph4:xgt:≥λh4:
ht~
⊂i4:-⊂i4:-⊂htZ
λi4Z-⊂i4Z≥htZ-_h4~-⊂ht:-λht:
⊂i4:≥⊂i4:
λi4:-λi4Z-⊂i4~≥λhtZ≥_ht:-⊂i4:≥λh4Z≥⊂ht:-λi4Z=_i4:=_itZ-⊂i4:≥⊂h4Z-⊂i4z-λit:=⊂itZ=_itz- iu~M j5~M0k5Zm@gt~xht~≥gsy|xht~≥λgt~≥λh4~
ht:
λht:
ht~≥λh4:≥i49⎇ht~≥λh4~- itZ-⊂iu~M⊂htZ=⊂i4z≥ i4z- j4Z=⊂i4~-_itZM⊂i4Z=_itz-_j4z-_itz-⊂iu~=⊂itZM iu~=⊂j4z=_htZ=⊂itz= iu~= j4z=_iu~-⊂i4z-⊂itZ≥⊂itZ≥⊂itZ≥_itZ≥λi4Z-⊂i4Z=⊂i4:
⊂i4~≥⊂i4:
λht:≥λitZ-htZM⊂iu~] juzm8ju_)λCaph8B`qλxI$⊃xxJ$R→G$∩→H$R	⊂Id∩9_I$29_J$RI_Ie2)λI%RI⊂I%∩I_Id2	⊂IeRY J$2	_G#r→λH$2)λGe∩→Gcr→λI$∩)⊂H$∩)λHd2	I$∩	λI$R(xHdr→GcR(pHdQyGd⊃xxF#qYHc1y_Fcr	⊂GcqyGcRλxH#qhpHd2	G$2)H$r	λJ$2_xH$2→Hcr)λIdR	H$2→λHd2(pGcQYλI$∩	⊂Hdr)⊂Fd∩→⊂H$2	⊂G#2(pGdQXhG#QyλGd∩_xH$∩λpH$2	Id⊃hhF#qxpGcqx`FbQxxF#18@Ec2_pF#⊃HpH$⊃XpG#2λhF#⊃HhF"qx`FcQXhGcQxpG#1XhG#⊃8`G"q(PE"rλ`Fc⊃HPE"⊃(HEbq(PE!q_PD"⊂X8E"qλHCaPx0B!p88CapxXF"pG`=≡/↔pI+w\Hht~≥i4:≥gt9⎇λht~
λh4→|xh4:
hsz
λgsy⎇hsz≥h4~≥λht~
λi4:≥λh4:-λhtZ-λh4:≤xh4~≥λht:-_i4Z-⊂j5:≥λhtZM_itzM ht→|xh3z≥h4~
h4:
⊂hsz
h3Y⎇λh3z
hsZ
λht~xh3y⎇h3Y⎇ht:
gt:-⊂gsz≤xht:≥λht:-⊂ht:xi49⎇htZ≥λht:≥h4~≥_i4:≥λi4:-h4Z≥λitZ
ht:
ht:=λhtZ=_i4:≥λhtZ-⊂i4Z≥_itZ
λh4:-λi4Z≥⊂i4z=_i4Z=⊂itZ=⊂htZ≥_i4Z-λitz-⊂i4:=_itz] ju~-⊂i4zM ju~m(juZ⎇@gsy|xht:≥h4→|xgt~xgt:
h4:
λht:
ht~xht~-h4~≥λhtZ≥h4:-h4:-⊂itZ-⊂iu~-λi4Z≥_itZ-⊂itz=λitZM_i4zM itz-⊂i4Z=⊂iu~=_itZ- j5~=⊂iu~] itZ-_itz-⊂i4z=⊂itz=_itz=_j4Z- itzMλi4z=_i4:≥⊂iu~=⊂i4ZM itz=⊂itZ≥λi4Z-⊂htZ=⊂i4z≥λhtZ
λht:
⊂i4Z-⊂itZ-λi4z=_itzM(ju:⎇@k4x)_C!1_0C qIλHc⊃XxHdr	λGd∩)λHd2)⊂I$2)(J$rY J%∩9_IdRI_HdRY I%∩) H$R	_Jd29I$qy H$2→⊂H$∩I_I$2)_Gd∩I J$R) H$∩λxGd∩	λGd⊃y⊂Hd2)IdR9H$∩Y⊂Hd1xxH#qxxFcqxpFbr	λGcR→λI#qxpFcQxxH$1XxH$r(xH$r)λGd∩	GcRλhHdR_hI#r)⊂H#qIλHe∩→λHd2λxH#1YFcr	⊂Gdr)FcQyλFcr	⊂G#rλpG#1xpFcQyλGd∩(xGd∩λxH#rλxH#1xhF#1HXG#RλhFc⊃hpE"qh`FcR	λH#r	Hdr→λH$⊃xpF#⊃XhFc1HXFcQHXF#⊃8HDbQHPDbq8@Db⊃_HD"⊃hXE"1(XF"18PEbQ8PEc18hF#1_`FcQHPEbqHXE"q(XF"1(HDb⊂g`<↑/WhK,_Ph4Z≤xhsz
⊂gt~
λh3z
h3y|xh49|xh3z
λh3Y⎇i4:≥λht9⎇gt~
⊂ht9⎇h4:≥h4:-⊂i4Z≥htz=⊂ht:-λitZ-⊂iu~≥λh4:= itzM_i4→⎇h4~≥gt~
gsy|xh4→|xgsy⎇gsz
h3y⎇h4:
λg3z
λgsY⎇λh4Z
h4:≥⊂h3zpgt~≥λht:=⊂ht:
λhsz
λhtZ-i4~-λh4z-⊂it:xhtZ-λht:-⊂ht:
ht:
h4:
htZ-⊂i4:-_itz-⊂h4z-λi4Z
⊂ht:≥λi4~-⊂ht:≥_i5~=⊂i4Z≥λgtz-⊂itZ≥⊂i4:-⊂i4Z=⊂itz- j4z=⊂j5:M iu:](ju[
@gt~
λh4Z
gt~ph4:≥h4:
ht~≥h3z
ht9⎇ht:
λgt:≥λi4z≥λhtZ≥⊂htZ≥_it:≥λi5~-⊂i4Z-⊂itz= j4z-⊂itz=λitZ=_i4z=⊂j4zM_itz-_j4Z-(iu:-⊂i4Z]_i4zM_j4Z-⊂iu~-⊂i4z=⊂i4ZM_itz=_j4z=λhtZ=⊂itZ≥_j5~M⊂itZ=_i4:≥⊂itZ-λi4Z-_ht~-⊂i4Z
λhtZ≥λh4:≥_it:-⊂ht~≥λi4zM_iu~= k5:m8k4X9(C"⊂X8C!⊃YλI#1XpHd⊃IH$∩)λI$2)(IdRI_Ie2)(Idr→8J%∩9 I$2) J%∩IλIe∩I⊂J$29⊂J$r→_I$∩→_G$29(Jdr	λI$RI Ie2I⊂Hd2)λHdR→H$2)λHe2λpH%2YλH#r)H#1xpGcqhpFcqYH#R	HcqyH#qxxFd∩λpG#qYH$∩	Fd2λhF#QhxF$∩	Gd1yHcR	HcrλxGd2→_H$29GcQyλHcR	⊂I$r9λGdR→λHd29_H$r→H$R)λH$1y⊂I#r)(Hdr9_Hcr	G#rλpG$⊃hhFd∩)⊂Gc1hxG#1XpG#QhxG#rλhG#1XxF#1(HDbqλ@D"18@DbqλXE"⊃_@Dbq8hF"QH`Gc1h`Fc⊃i⊂Gc1X`GcQxpFcQXhF#⊃hpG$⊃(`Gc⊃hhG#1HpG"qXhEb⊃_8CbQ↔x?≡o7`K,8<Xht:-h4→|xh3ylph4→|xh4→⎇gt~
λhsz≥hsz
λi4:≥λi4Z≥⊂h4:-λht9⎇h4~xh4:-⊂i4:
h4Z=⊂htZ=_itz=⊂i4z=λht~= j4:-⊂j49|xgt→⎇g3Y⎇gsYlxh4~
gt→⎇gt→⎇hsylxh4→⎇ht:≥h3Y⎇λhsz
h4Zxht~xh4:≥λhtz-λht~≥⊂i4→⎇htZ≥i4~≥h4:≥λht:
i4Z-λitZ-⊂ht:≥λh4:≥λh4:=⊂h4~≥⊂htZ-⊂htZ-⊂htZ=⊂gsz
ht:-⊂ht~≥λht:≥⊂i4Z-⊂htZ-λi4Z=⊂htZ-_i4Z≥λi4z=_iu~=_i4z=_iu~M_iu~](j5Z⎇@gt~
λhsy⎇λh4~≤ph4:≥λhtZ-λht~≥λhsZ
ht:
λht9⎇ht~≥⊂i4z≥λi4Z≥h4:≥⊂i4:
λi4z=_i4Z-⊂htZ- iu~M_itZ=⊂j5~-_itZ=_j4zM itz=⊂itZ≥ i4z=⊂iu~M iu~=_i4:-⊂itZ≥_i5~] i4ZM_itzM_j4z= i4Z=_i4Z= j5~-⊂i4Z=_htZ
λj4Z-⊂i4Z≥λht~-_i4:
λi4:≥⊂ht:-_ht:-_i4Z≥λi5~M itzM(juZ]8k4xI0Cb⊃_@DaqyλF#1HhGd1yλH$2I_IdrY_J$2→⊂I%∩9 IdrI Hdr)⊂Hd2→λIe29 J$r	 Jd2→_Hd2)⊂Gcr→⊂I$Qy J$R)⊂IdR	λIdR9λI$∩→Gd∩	H$1yGd∩λpGd2	⊂Hc1hxG#1iλGdRλxGc⊃hxGd⊃hhGdQxpH$∩λxGd∩XxFcqi⊂I$R)λGd2(hGdR	λH#r→⊂H$r→ K#rI(H#r→⊂H$2	λGdR8xG#⊃yH#QYHd∩→H%∩λhH$2λxG#QHhGcqxpFc1XpGc⊃XxGd⊃XxFc⊃8XEbq8HF#⊃8PEbqH`F"Q8XDb⊃λPD!qλHE"Q_PD"1λPCbQX`F#1HhE#⊃hPFc⊃HXFcQXxGcRλpG#1hhHcqIHcQxpG#QXpHd1yλHcrλpG$2(pG#r(xG#⊃8xFcQ8`FbQ(XE"⊃λPDc⊃_ >≡∂π`Jl_≤Xi4Z≥h4:≤pgt→|xh4~
λi4:
gt:
λi4~≤xh4~≥λi4:
λht~≥λh4:-λhtZ≥⊂htZ-ht:-⊂i4Zxi4z-⊂itZ-⊂i4Z≥⊂htZ=⊂i4Z=(j4:-λisymλgt→⎇g3Z
g4→lxgsZ≥gt~
gt→|ph3ylxh4:≥λht:≥λi4~
gsylpgt~≤xgsz
⊂ht~≥⊂htz
h4:-_i4:
λi4~
λht:-λh4~≥λi4z-λi4~≥ht9⎇λi4:≥λi4:≥λht:=⊂h3z≥⊂i4Z-ht:
ht:-λht~
⊂i4:≥λi4:
⊂ht:≥⊂itZ≥_i4Z-⊂htz=λi4:-_i4:-λi4z=⊂i5~=_i4Z-_iu~=_iu:m(juZm8gt~≥⊂ht→⎇h3z
h4Z
h4:≥λht~
hsz
λgt~
λi4:
λht:≥_ht:≥λht:≥λi4:≥_itz≥λhtZM_i4Z≥_itZ= itz=λitZ-_itz-⊂itzM_i4z=_itZ-_i4:= i4z=_iu~M_itz= itz=⊂i4z-_htzM_htz= j5~=_j4z=_iu~=_i4Z=_j4z≥λitZ=_i5~-⊂itZ-⊂i4Z≥λhtZ
⊂i4~
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λhsz≥h4→⎇i4Z
λhtZ-⊂ht:
λhtZ
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h3Y|pgt:≥λh4:≥ht~
λh3y⎇gszpht~≥λi4~≥λh49⎇h4:-λht:
h4~≥λhtZ-⊂i4:-⊂htz=λht:≥htZ
λht:≥λi4~
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ht:
i4~≥⊂ht:≥htZ-⊂h4Z≥⊂htZ≥λi4:
λht~
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λi4~≥λi4:-λhtZ-⊂i4:=⊂i4:-⊂i4:- j5~]8kuz⎇@ku_y(C!qλHE"qhxEd∩	H$2	H$⊃yId2→_I$r9⊂Hd2)H$R90Idr→⊂I$R8pGe∩)⊂Ie∩9⊂IdQy Ie⊃y_Id2→λIe∩I_I$R→I%2IλH$R)_I$R)λH%∩	⊂HdR→ HdRλpF$2λpG#QXpG#⊃HhEcQX`Eb1H`Ec⊃X`F"QHHE"Q_PEbqX`EbQ(hFc1HXD"Q8XE"⊃(`Daq_@Ec1H`Fc1H`F"QHhG#⊃iGdRλpFd1xhH#1hxH$2	GcR→_Gd∩→G#qhhGcqXhH#QhpGc2	⊂Gcr)G$⊃yGd2_pGcqxhF#QhhGd1H`H#qiλGd∩λhG#1y⊂I#qxpHd∩	_H$1iIc1iλH#qyH$∩)λGcqhxHd2→_H#QhhHd∩(xHcqXpHd∩λpGd∩λ`G$⊃8xG#2	λFc1XhF#QhpF"q8`Eb⊃8XEc⊃(8>≡O'XDhV\ ft~
htZ-ht:≥g3Y|xh4~≥gt~≥h3y⎇λgsZ
λht:
λht~-λht~xht:
λi4z-i4:≥λht:≥h4:
λht:=⊂itZ≥_i4Z≥⊂htZ-_jtzM_i4→⎇hsy⎇gsylxgt~pht~xgsY|xh4~
λh4:xgt~
λh4~xgt~
h3z
λh4~
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⊂i4Z
λht:-⊂htZ-⊂i4Z
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λi4:≥⊂itZ≥⊂j4Z=⊂ht:-⊂ht~-λitZ-_iu~M ju~M8ku{
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λhtZ≥h4:
λh4~
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⊂h4~
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λhsy|xgt~xh4~
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ht:≥λitZ
λht:-⊂htZ≥⊂i4:-⊂i4Z-⊂h4:≥⊂i4z≥⊂i4:≥⊂htZ-⊂ht:-_i4Z≥i4:
λht:-λh4Z-λi4Z-⊂i4:≥_i4Z≥λi4:-⊂i5~=_i4:-⊂i4Z≥_i4Z=_i4ZM_ht:-_itz= j5:m0k5Zm@gt~
gt~
λh3z
λhsy|xh4~
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_hsz≥_i4:xgt:≥λht~
λht~≥ht:≥ht:≥gsz
λht:≥⊂i4Z-λht~≥_itZ-λi4:≥ht~-⊂htZ-_itZ-λi4z=_htzM_hsZ
h4→|pgt~
λhsy⎇λh4→lxgt~
λh4~
h49⎇h4~≥h4~≥λh4:
ht:xgsz
h4~≥λh4:
ht~≥⊂it:-λht:-⊂i4Z≤xi4Z≥λi4:-⊂i4z≥⊂i4:-⊂i4Z-⊂ht:-⊂htz≥λhtZ-h4Z-⊂ht:≥⊂i4:≥h4~≥λht:≥λht:≥ht:-λh4~
 i4:-λi4Z-i4z=⊂itZ-i4Z-_iu~M_j4z=_i4Z-⊂itz= ju:m0k5Z⎇@ft→⎇h4~
gszxgsz
λgt:-λh4:-λi49⎇λh4Z-htZ≥_ht9⎇gtZ≥λht:=λh4Z= itZ=⊂i4Z=⊂htZ=_i4:-⊂i4zM_i4z=_i4Z-_itzM j5~M_j5~= j4z=_ju~-⊂itzM⊂iu~M(itzM j5~-_itzM_itz=_iu~=_j4zM_j4z= j4zM_j4z=_iu~=_htZ-⊂htZ≥λi4Z=λht:
λi4z-λi4Z-λht:=⊂itZ-⊂itzM j5:] j5:]8kuZm0jty)`G"Q(XE#R_hDb1_hG#qhhFcQhxG#∩λxGd⊃yλGd⊃iλH$R	⊂Id⊃yH%∩	λI#1yGd2)λI$⊃YI$∩	⊂Gd29⊂I$2→⊂GdR→Hd⊃xpH$∩	λHd∩	H$QyId1xxGd∩9Gd∩)⊂H#qxxG$⊃yλGcR→GdR→λIdR)λHdr_xH$2)⊂H#R	λH$∩→_HdR→λI$2	IdR9_Gcr)⊂Gd2	_Hd2Y_Id∩9⊂Jdr→λH$2→λJ$∩→⊂I$R(xH$29_I$RY_GdR→⊂K%∩→λH#R	⊂HdR9_I$R_xHd∩	λGd∩_pG#R)λHd2)⊂Hd∩λpHd1i⊂I#qyH$∩IλGdR)Gcr	λH#r	λH#rλxF$1yH$QxpH$R)λG#R)H#QxxGd⊃hpH$2_pFcqhxGcq8xHd⊃xxG#1xpFc1YGcqx`G#qHXEbQXXDbQλ`Eb⊃_HA∨∞wH=!TKHary⎇λht:≥λh3z
_ht→⎇⊂i4:≤xh4Z-λh3z
λht~≥ht:-ht:-λh4~≥⊂i4Z≥λht:≥λht:= i4z-⊂ht~-ht:=_j4z=⊂i4z=⊂i4Z-λi5~=_ht~
λgsZpgsz
h39mh4:pgt~≥h4:
λht~
h4~xh4~
h4~≥λi4Z≥λgsz
λgt:≥gt:
λh4:-⊂ht:-λht~≥⊂i4Z≤xh4~≥λht:≥λhtz≥⊂itZ-λi4ZM⊂h4~≥λhtZ≥htZ-⊂ht~≥λht~
λht:xht:≥h4z≤xh4~
λi4Z=⊂h4:≥λi4Z-_itZ≥htZ=_iu~=_itz=⊂itzM⊂j4:=⊂i5~-_ju~M j5Zm0kuZ⎇@g4~
h4~
hsz
h4→⎇λhtz-_htZ≥⊂i4~
ht~
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ht:-λhsy⎇λht:≥λi4:-λh4Z≥_ht~≥λhtZ-_i4:=⊂ht~=⊂ht:=⊂gtzM⊂i4Z=_itZ-⊂it:=⊂i4z=_itz-⊂ht9|xgt~≥h3ZxgsY|xht:xh4:≥λh4~
h3y⎇h4~xh4~
gt~xh4~≤xhsZ
λh4~
λht~≥htZ-λht~≥λht:-⊂i4~
i4:-λh4~≥λhtz-⊂itZ=λitZ=gsz
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@gtZ≤xh4~
h4~
λh4→⎇⊂htZ≥⊂ht:≥λi4→⎇λi4Z
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⊂i4~≥⊂itZ-⊂i4Z=_i4:=_itzM⊂jtZ=_iu~m0k5z⎇@ku9)XEbQ(PEcq88C!Q(`H$2→λHdR(xH$RIλIe∩y(I$R)_Id2	λIdr9_I$rY_Ie29 JdrI(Je∩Y Ie∩) Jd2)_I%∩IHdr)λJ$r90J$∩	⊂IdR→ Id∩9_Id2	λIdR9_Je∩9H$R	λI$⊃iGd⊃hxHdR→I$2→H$qiI$2→_Fcr)H$R→λIdR9λI$RI⊂H$R9_J$R→_He∩I⊂IdRI(Id∩9⊂J$r9 I$r)⊂J%29(J$∩)_Hd2I J$R9(I$29_Hd∩)⊂Hd2→H$∩)λHdR)⊂J$qXxJe∩→⊂Hd⊃yH$R	J%∩→_Hd2I_Jd1y⊂Gcr_xI$QyλH$2	H$∩→IdR_xHdr_xI$RλxH$1x`H$r)⊂G#QXxGcR	Hc⊃h`G$1hXG#QxpI#r8pG#⊃hxH#Qh`G#⊃8XFcQHXFc⊃HhG"Q(`Fbph8@↑o↔H>bT+@b2z≥λht:≥h4:-λht→⎇λi4~≤xht:≥⊂ht:≥⊂ht:≥⊂htZ=⊂ht:-⊂it:
⊂h4~-⊂htz=_i4z=⊂i4Z-⊂ht:≥⊂htZ≥ itz≥⊂itZ=⊂i4z= j4zM i4Zpg3z≥h3zxg4~xh4~xht→⎇g3Z
λht→|pht:≤xht:
gsz
ht:
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λht:
λh4~
λh4~
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⊂ht~
⊂i4:-⊂i4:-λit:-_ht:≥⊂i4Z≥λiu~=⊂iu~- i4z=_i4:=⊂htZ≥_itZ-⊂i4z=⊂i4Z-(j5~M_ht~≤xht~≥λh4→⎇λgt→|pgsY|pgt→⎇λhsz
h4:≤xht~
ht:
h4~
gtZ
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λh4:
λhtZ≥λht:-⊂htZ-⊂itZ=λh4Z-_i4Z≥⊂itz-_j4z=⊂itz=_itz≥_iuZ](ju:m0k5Z⎇@g4:-⊂h4:
⊂ht:
λhtZ≥λht~≥λi4:≥λht~
⊂htZ-λi4Z-_i4Z-⊂i4:-_i5~-⊂i4:
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λi4Z-λh4Z-⊂i4z-_i4z= j5~M j4z]0kuz⎇HkuZ
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λh4:≥_h3Y⎇htY|xh4~xh4:≥hsymλht:≥i4:-λh3z
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λi4Z-λi4Z≥_i4Z=_ht:-λi4zM_itz=_itzM itzM⊂i4z=⊂itz=_ju~=_j5~=_j5~M iu~M j5~] iu~=⊂iu~M j5~M(juZ]_iu~](k5~m(ju:] j5:M0iu~]0jtz= jtz] ju~M itz= j5ZM i5~](itz=_j4Z- itz= i4z-⊂itZ-_itzM_itz= iu~M j5:M ju~M ju:⎇@l5{
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⊂ht:=⊂i4Z≥λi4Z≥⊂htZ=⊂ht:-_i4~
λi4z≥λh4~≥⊂h4Z=⊂ht~≥λi4:≥λht:-λi4Z=⊂htZ-h4~≥λgt~≥⊂i4Z-⊂i4Z≥λhtZ-_i4Z-_i4:-λitZ=_itzM j4z= iu:] j5:]0kuZm8g3z
i4:-λh4~≥λht:≥λht:≥_ht:≥⊂itZ≥⊂i4:-λhtZ= i5~=⊂itz-λi4zM itZ= iu~M⊂j4zM⊂iu~=_j4zM_itz=_itzM(j4zM j4z] j5~M j4z= j4z= j5:] juZ](j5~m0ju:⎇0k5Z](ju:M(j5:]0k4ZM ju~]0ju~M jtz=_juZ](j5~M_itzM_j4z= itZ= j4z= itZ=⊂i4zm_j4zM(iu:=⊂j5:M(ju~M(j5~m8lv~⎇8l5::pB pH⊂AapxHE"⊃8PF$∩	 Hd2→λIdRI_I#R→Hd∩)⊂H#r	⊂J%2)_I$rI⊂Jd29_Jdr)⊂I$R9⊂J$rI⊂IdR)_Ie∩9⊂I$rY_Hd2→_GcQyI$2	⊂Id2→_Jd29λId2	⊂H$29Id1i⊂H#r→Hd∩)Gd∩(xH$∩	⊂Hc1XxH#QhxJ$2λpI#R→⊂Idr	⊂Id2	λGcqy_Gd⊃yλIdrλxGd1y_I$r9⊂GdR	λGd1iλH#r	H$29(Hd∩→λFcQyλH#rλxI$∩λhG$1xpG$∩→Gd∩	GcqyHdQxhFcQHhH#QhpGc1yλGcQhhG$∩λpGcQhhF#2(pGcQIλGd⊃8`G#⊃H`E#QHhGcQhpG#∩λpFc⊃hhFcqhxI#QxxFcqhhE#1XhF#⊃HPGc1HpFcqXhF#⊃hxG#18pG#r)H#r9⊂Hdr→ I#⊂v $⊃(T("Q(T($R	∀p'∀)e'Tj∃)SIdx'∀)tx)∀
5 )TJu()T	tx'Tj∀p(Sitx(T
∃_'∪	d`'∪idp'T	u(∀	tp'∪	Tx&T	4p*T*∃ ,∃
5⊂'T*∃⊂*Tj∧p&∩i∧@%∩I$P$S	$X'Ul⊗p>#∪jP[/x|`gt~- it:≥⊂itZ-λhtZ-λht:≥λi4z-λh4:-⊂h4:
λi4~≥⊂i3z≤xh4~≥λi4:≥ht~≥⊂htZ=λitz-⊂i4:
λhtZ-λht:-⊂ht:
λi4Z-λhtZ-λht~≥λi4:≥λht:-⊂i4~=⊂ht~
⊂h4Z-λht:-λh4Z≥λi4:≥λi4Z≥⊂ht:≥_it:
_i4z-λi5~=_itzM(jtz-⊂ju~= iu:](ju{
@g3z
λh4:≥h4Z≥λht:≥htZ- i4:≥⊂i4:≥λi4:≥λhtz=⊂itz=_jtz-⊂i4z-⊂itzM itZ=(j4z=⊂i4zM_j5~M_iu~M_ju~M0k5~M jtzM_j5~M(ju:M0j4zM(k5:M j5:M j4zm0k5Zm0k5:](ju:M0ju:M(j4z]0ju:m(j5~] j4z- k5:M j5~= j4z- ju~=_j5~= jtz=(j4z= itz] itz](j5Z= j5~]⊂j5:](j5:]0l5{
8lu::xB PXλC"q(HG"qHXG#1y⊂Gd⊃iλI$R9_J$∩→λH$∩9_G#qyI$R	 HdR_xId1y_K$1iλId2→⊂Hd2)_I$2	λId∩→λHe2I I$∩→⊂I$∩→_IdQyHd1i_Id∩9⊂I$2→ I$∩8hG#r	GcrλxHdr8pG#qxxG$∩	H#qXpGd∩_xHd1yGd⊃yH$2→Idr_pF#R	⊂G$∩9λI$R(hH$2→_H#R_xGd∩→G#1xxGcR	⊂Id2)0Hd2Y⊂G$∩	λH$1hxHcQxpGd⊃xpGd⊃yH#⊃xxG#R→H#qhxFc⊃xhGcqYG#∩→⊂H#QxxG#qxhG#qXxFcr	⊂HcQxpG$1H`Fc2λhEc18`GcqXpHcqhhGc1XhGc1(hH$⊃xhH$⊃hXF#Qx`F#QhhG$⊃hhFcQX`Ec1HxG#qx`GcR(xGcr9⊂I%∩I(Jd1∃x$⊃ht #⊃λ4 "⊃i4h(∪IDh&T*E(∪)d`'∀)u&S*¬⊂(∀*%λ)∀Idx)∀
∧h'∪j∧h(T)e_(∪idx&SIdh'∪Iu⊂'S)4P&∀jdH%Ridh*∀jU *Uje⊂(∃
58(TJ%λ&Ri∧P$RiTh%⊃Ht`$∩	∀h*UKf8: ∩)xWn8,Pf3Y⎇λitzM_i4Z=⊂htZ
λi4Z≥λht:=λh4~-λht:-⊂ht:≥λh4Z-⊂i4:≥λhtZ-λhtZ-⊂i4~
ht~≥λi4Z-ht~-λi4Z≥⊂htZ-⊂htZ-⊂h3z≤xht:≥⊂ht~≥⊂ht:≥⊂i4:
⊂htZ≥λht:=⊂ht:-_i4:≥⊂itZ-λht~≥⊂i4Z≥⊂i4Z=i4z=_itZ= j5~= j5~M j5:] ju[≥HgtZ≥λh4~≥λht:-λi4:
λi4:- it:≥_i4Z≥λhtZ-i4Z=⊂itz=_j5~=⊂iu~M_iu~= j5~= itzM⊂itz-⊂j5ZM j5:M itz](j4z=_j5~=_j4z](j5~=(ju~M(ju:] j5:m(ju:]8hu:](k5~](ju:m(k5ZM(k5:M(ju~](k5:] ju~-(ju:M j4z](ju~=(j4z=_iuZM_j4z= j4z= i5~M_iu:=(k5:M_ju~]⊂k5:]0juZm@l5{
PluZ+A qλ_AaQλ0EbQ_PFcQxpG#R	⊂I$2	⊂I$2→⊂I#r→⊂H$∩	λHd2)λGdRIλH$∩→⊂I$R	λI$2	_H$2)λHdR)_Jdr→λHe∩	_J$R(xI#rII$QxxH$2)H$∩)_Hd29λGcrλpHd∩→⊂H$1i⊂I$R_xG#1YFc1hxH#QHhG$1xpH#qxpH#R	λHcqyλHd∩)GcQyλGcQYI$⊃hxH$R) Id∩→H$∩_xH$⊃xxHd∩→λJ$R→λGd∩→GcQiIcQi I#r	Gcr_hGcR_xF#QhpGd∩	GcqYλF#QxhI#rλxF#qyλH#R→F#1hpF#qhhFc1y⊂FcR	λG#Qh`F$⊃hhG#qXxH#qH`GcQHpFc⊃hhFbQHpI$1x`HcQhPE#r_xEc⊃hpGcQXXG#1x`G#QH`F#qXhGdr→λHd∩)⊂I$rY_I$⊂fλ$⊃I∀X#Qh4_#∩	∧`'SIe(∀
5_(TIth)∪j∧x'T
∃)∀
∃⊂(S*∃'SiTx'∪j∀p(∀)dp)∪J∧p&SIdp%SI4h'∪iT`'∪IDP%RI$`*Tj∀x)⊗
¬λ)T*%λ)∀*$x(S)$H&RiTx%Ri$`'R	$8$∩I∀`&∀*Uh4≡0Y0Ql7L et~-⊂i4z=_itz≥⊂ht:
λht:-⊂htZ≤xh4:≥_i4:≥λh4:≥⊂hsz
htZ-⊂htz-_i4:
htZ-λi4Z≥i4:≥λht~
λht:-λi4Z≥⊂ht~≥h4:-λh4:
λh4~≥_i4:
λht:
⊂i4Z=λh4:-_i4Z≥λi4Z-⊂i4Z-_it:≥_itz-⊂htz=λhtZ= j5~- j4zM j5:m(k5Z⎇@gt~-_i4Z-⊂i4Z≥⊂ht:
h4:
⊂i4Z=_itZ-⊂htZ=⊂htZ=⊂i4Z- j5:M_j4zM_iu~-_ju~= j5~M_iu:] ju:](j5:M(j5~M itzM j4z-_i5~](iu~= k5:= ju:](k5:](ku:]0ju:](ju:](j5~m juZM(juZM(j5:](ju~M k5~=(k5Z](itzm ju:](j5~M_iu~= itzM_itZ=(ju:M ju:M ju:](ku:m(juz]0kv≠
@lu{≥Pluz;⊂B`q(0?apx(CbQ8HEd⊃yGdR→⊂IdQyI$∩→⊂Id2→Hd∩→_Gdr	G$⊃hxGcrI_I%∩9⊂Id2λpI$2)λH$R9_J%∩→H%∩9(I$2_xGd2_pH$R(xI$r)λHcr(xH$2(xH%∩_xH$∩	⊂I$2→λG$R9Gc2→Fd1iH#qiFcQxpFcqhhG$QhxHd∩_xGcR_xH#Qi⊂H$1xhHdR	⊂G$R9_Gd28xGdRλxGd2	λGcR)Hd∩λxI$2λxH$QiλH$⊃yλHd∩_xFc⊃XxH$⊃yλGcqxpH$⊃hpFcqxpFcqxpH#⊃hpEcQhhG#QhxEcRλpFcqxxFcqxxG#2	⊂G#qhhG#qXXG#QxpGd⊃HpFcqh`F$1h`F"qHxGc1XpFc⊃xhFc1xpEbQxpH#QX`Fc1hxG#qxxG#qXhH$r→λH$∩→_I%2) Hd⊂e`#Q	D0#R(4_"Qi∧P&S)tx(∀
5_)U*∀x(∀	u'∀
%('T
∃)∀	dx'SIth*S)dp'∀Iu'TIe⊂%U
∧p&∪I4`'∪ItX&S*∧P$∩I∀h)∀*∧p'T*¬(∀J5λ)∀je_*∪)∧H(S	D`&SiE'∪i$H$R)D@$⊃λTx&∪jEX3≠OH`O*vl⊂d3:
λht:-_itZ≥_itZ=⊂i4Z
λi4:≥_i4Z-λi4:-λi4:≥ht:≥htZ=⊂itz≥λht:-λht:≤xht:≥⊂itZ
⊂i4~≥⊂i4Z-⊂i4:
htZ≥λh4:
λgt~≥_ht~≥λi4:≥λi4Z-⊂i4ZM_ht~
λhtz≥λi4z=⊂i4:≥⊂itZ≥⊂i4z=⊂htZM_i5~= j5~]_iu~m(k5Zm8h4:-_i4Z-λht:
⊂ht:≥λhtZ≥_itZ-⊂i4z-_i4Z=⊂htZ=⊂itZM j5~M j4z= itz=_itz=_j5~](iu:](ju:M_j5:M(ju:] itzM0jtz= ju~m(j5~](ju:m juZ](k5:]8kuZm0k5:m(ju:M ju:m(ju:]0k5:m0juZ⎇8j5~](j5:M j5Zm(ju:](ju~M(j4z- ju~-_iu~M_iu~M k5~]_j5~](ju~m0kuz⎇0k5Zm0k5Z⎇8lv;-@m5zK(Capx0AaPh(D#18`H$∩_xG$QyλI$r	λIe∩→⊂IdR	H$R)λH$2→(I$Qy⊂H#2) Id∩9⊂H$2→_I$∩9λH$RY_J%∩→Hdr9⊂Hd∩λpH$∩λxGd∩λxHd∩→⊂Hd2	λId∩_xIe∩)G#1y_I$1yλF#qyG#1xpF#1xxGc1HxFcQHpG$2_pGd1y⊂Gcr→FcQxxGcR	Gd2	Hd∩	λGd2)λH$2λxHdRλpHdQxxGcr→Hd1yHe∩λpHd1yG#⊃yλH#QiG#∩(xGcqhpG#qHpHcqxhGcqx`F#Qx`G#1XxG#rλxGc1h`F#Qh`FcqyF$⊃xxFc⊃xpGc1hxFc2λhFc1hpG"q9λG$⊃h`G#2λpFcQxxGc2λhEcQh`Fc⊃xhEc⊃hhHdQhpH#r_xFc⊃XhG#1hhGd2	Hd2)⊂I%∩→λHd⊂EH#RHd(#⊃λd8#QITP'∪J∃ *∃jU⊂'∀	Tx&Sj∧x'∀
¬λ(∀)e⊂'∀
¬_'∪ie)S)U'T*∀x&T*∀x'T	T`&∀	Th'∪	4x&Ri$x%RHtp+∀j5 )Sidh'SJ¬(∀E_(SItp(Sj¬'Sidx&S	∀H%R)∀X$QiT8#⊃I∧H%Rj%H/YN(⊂J(v≠`ar9mi4z-⊂i4z=⊂i4Z-⊂itZ-⊂htzMλhtZ-λj4Z≥h4Z-λhtZ=_i4Z≥λh4:-λht~≥ht:-⊂i4Z≥_i4Z≥⊂h4~-⊂i4:-λht:≥gt→⎇i4Z≥_ht~≥_itZ-htZ-λitZ-⊂htZ-λh4z≥i4:=⊂i4:
λitz≥λi4Z=⊂htZM_i4z-_j5~=⊂i5~M(ju~⎇8h4:≥⊂i4Z-⊂h4~≥⊂ht~≥⊂htZ=_itz-⊂itz-_itz=⊂i4Z=⊂i5~](ju:] j5~=_itZ= j4z= j5~] i4z] j5~M juZM(juZm(j4zM_j5~M ju~m(j5~m(j5~](juZ] k5Zm0k5:⎇8ju:] ju:m(j5~m0ju:m0juZ]0ju:]0k5Z](ju~M ju:](ju:M(j4z] ju:](ju:M ju:M(juZ](juZm(ju~](j5~m0k5Z⎇8ku[
0kuzm@m6;≥PluZ;8Eaph(?`px C"⊃_`F$∩_pFcr)λHdrIλI$r)_J$2→_I$r9_Idr)_HdR	⊂HcQxxHd∩9λHd∩→λI$1yλH$29⊂Ie2	λGdrYλH$rλxH$⊃xpH$⊃xpH$2	λHdr	Hd∩9I$r_xH$1YλI#qxhGd∩_xH#qhhFc⊃XxH#QxpFcQHxGcr→λH$29λG#rλpFcQyGcQy⊂I$∩(xGcQXpGcR	⊂I$1yλH#qh`Fd⊃xpGcr	Hd∩)λI$⊃iHcr→Fc1iλGcQiλFc2	_G#1hhG$⊃yλHcqxhGc1HhFcqhhH#1HxFcqx`G#QYF#1HXGc1xpFcqxxH$⊃hhG#Qh`G#QxxG#QXpG"qxpGcqhhG#⊃xxFcr_pG#1XhG$∩λpFcQyGcQHpGd∩λpGcrλpF#1XxEd∩λpH$∩9 GcR→Hdr)λI$0%@%⊃)∀(#Qh4($R)$p'∀
%_,∃
5⊂'∪J∧x&∪idp'T*∃⊂+∀iu(∪J∀p&SJ5⊂)∪IDx)∪)dp'T)dh&T*∧h&SIdp'SItX'∪Itx'∩I%⊂+∀
∃⊂)∪j$x'∀	u)∀Je@)∪Iu(UJ∃_)∪	dx%S	$`%R)%$RIDH%SI$8%R	∧@%∪IE_,XMwHC%∀[_↑qyLph4:-⊂i4Z= j5~-⊂iu:]λi4Z≥⊂i4z
⊂hu~-⊂i4Z-_itZ-λht:-⊂hsz≥λht:-λitz≥⊂itZ
⊂h4~-⊂itzMλi4~≤xgt~
htz≥λi4Z≥⊂i4Z≥λhtZ-⊂i4Z-ht:
λhtZ-λht:=_ht~
λi4z-⊂ht:≥⊂i4Z=_itzM j4z=_i5:](ju~]8gt:-⊂i4:-⊂ht:-λht:-λi4Z=⊂itz-λi4Z-_iu~-⊂i4zM juZ]0juZ](ju:M j4ZM j5:= j5:] ju~m0ju:M ju:M j5:](ju:M j5~] ju:m0ju:m0j5:]0juZ](kuZ⎇(k5Z](j5:]0kuZ⎇0juZm0k5Z⎇0k5Zm0ju:]0k5Z]0k5~M0kuZ]0juZm0ju~M(juZm(k5Zm k5:m(k5ZM(k5:m(j5:m(j5~M ju~]0ju~M_j4z-_itz=_isyJxCa⊂8@ 0h⊂B!1_`Gd∩	Fd∩λhH$R)⊂Gd2→_I$29_K$r) J%∩I_H$R→⊂H#r	λG#r_xH$2)_J$2	λIdr9 I$rλxGdrIHd2)HcqhhGd⊃hhH#1yλGdR	λH#2	I$⊃iI$R	Gd⊃xpHcrλhG#qXxG$⊃HpFc1xhFd⊃XpHcRλxH#qiλH$⊃XpF$⊃Y⊂FcQiλHd∩(pFcr	λH$2λpHdQhpH$QXpG$∩IλG#rλxGcRλxI$qxxH#qi⊂G#R)⊂H$∩→_GcR_xF"qxxGc1HhG#⊃HhG#⊃HpFd2	λGd⊃hxG#QhhG#QXhH#1XhG#qhpGd2λxH$2λhH#QHhG#RλhF#2λpG#⊃xpGcqxhFbqhhG$⊃hpH#qHpGd⊃hxF#R)λHd2λxHdQhXG#qX`Fc1xpFc1hpH$1xpG#r→I$R9⊂Hd0¬8$Q)∀(#QλT@%∩	Th&SJ∃λ(U
∃⊂(∀	dx(SIe'Sj∃⊂+∪j4x&∀)dx'Siu⊂(∀*¬λ(∀Iuλ(∪ITx(SIuλ'T	Th(T
∀`)SidX&∩iE_,∀j% )∪j∃&SJ$x(U
5@'∀*¬_)TJ¬λ'S
∧h*SI4x%T	TX%S	DP&S)$H%∩I∀8$∩)$X&∩I5_)VL&h<bSJP[09`g4~-_iu~-⊂iu:=_i4Z=⊂i4Z-λhtZ= it:-⊂i4Z≥⊂htZ≥λht:-λhtZ≥⊂htZ≥⊂htZ=⊂i4z≥⊂j4Z
λi4~
i4Z≥htZ
i4:≥λi4Z
λhtZ-λhtZ=λht:
⊂i4:-λi4Z=⊂i4Z-⊂i4Z≥⊂i4Z≥λi4:= itzM_j5~= iu~](ju:]@h4ZM_i4Z-⊂ht:≥_i4z-⊂i4z=_itz≥⊂itZM iu:M_j5~=(juZm(ju:M j5Zm(jtzM(j5:=_j5~](juZm(k5:m(k5Zm(ju:m0k5zm0k5Z](k5Zm(juZ⎇8kuZ]8k5zm0kuZ⎇8k5z](jtz]8kuz⎇0k5Z⎇8kuZ⎇@l6~⎇0ju;
@kuZm0k5:]8kuzm0k5:m(ju~](iu~=_iu~= it:
h3ylhfs9,Hdqy(a0x,λ↑o↔≠P[m6+λY+∃:HSj∀Z0Q'Shh?a⊂H@ 0H @`Q_PFcrλxFcR	HdR	H$1yHdr)⊂I$∩y`I$R9⊂Gd2→λH#r)λH#rλxGdR→_K$R)⊂Hd∩9⊂He∩λpH$∩→λH$R→λH#Qx`FcQhhG#r→λHd2)λG#r	λFcqxxGd⊃hxFd2)λH$R→λGc1XpFcQXhEbqxhGd2	Gd∩λpG#R	G$∩λhFcqy⊂Hd∩	λHcqyGcr)⊂G$1yλHdR_xH$1IGdR)λG#⊃hhHcqhpHdR	⊂H#2→_Fcr	I#R→λHd∩_pF#1yG"qhxH"qhpFcQX`E$∩→H#∩λhG#QXhF#1XxGcQxpFc1xPG$2_xH$R8pH#QXPG#1xpF#⊃XXFc1iGd⊃hhFcqhXFd⊃HpGcQHhG#QhxFcqhxH$⊃xxGcQXpG#Qh`Gc⊃X`G#QXxG#RλxGcR	λI$R	⊂I$∂e(%Q(T8"∩	∧ %RI$x&T*∃'∀jE⊂)SIuλ(S	d`(∀)u)∀JT`*∪IDx&∪	tx'SIe⊂(Tj¬⊂(Sitx'S)tp(∪*Dp'∪Iuλ(∪ID`%SIu⊂+UjE_)∃*¬)∀*u (U
Eλ(∪J¬ )∀J4p&SIe⊂(∪	T`&RiD`'RIDH&∪ITP%∩i$P%∩IDh$⊃(tX#RIDh'UKf89 R
λW.x\Ph4Z-⊂i5~M_itZ]_htz≥⊂i4Z=⊂htZ-⊂i4:=⊂i4z≥ht:=_h4:-λht:≥⊂i4Z-λi4z-λhtZ≥λit:≥λi4:-λht~≥⊂i4:-⊂ht:≥⊂htZ-λh4Z-λht~
λhtZ≥λi4Z-⊂i4Z=⊂i4Z-⊂i4Z-⊂htZ=_itz-⊂iu~M j5~m0k5:]@h4Z=_itz=⊂i4z-_itz=_iu~M j4Z- j4z=_i5~M_i5~M j5:] j5:M(juZ] jtzM0ju~](iuZ](juZm(juZm ju:m0k5:m0kuZm8kuZm0kuz⎇(ju[
@kuzm8k5zm(k5Z⎇0kuzm ju:]8k5z⎇0ju:m8k5:m0kuzm8k5Zm itz-⊂i4:xg3Y\Xer9≤8bpxLλ←/7≠PZlvK_W+∃*@Rht)xP'∩Y J$2_hF#1XXEbQ_PC 0H(@←P_⊂? ∂wxA`0↔x?!⊂8(A`⊂X0@←px@Fc1hxGc1yλHe2	λGd∩λpH$r→0J$3)XI$RλxH$1xpHdr8xGcQhxI$2λxHdR)_Hd∩)λGdR_xHd1i⊂Gd2)λI#QiGcqhxGc1yH$2→λHd∩λxGc2λhFc2λpGcR	λH#rλxH#QXxGc1iF#QhpG#RλxHd∩λxGc1iλG#1hPG$∩	Hd2→HdQy⊂G$∩IGd∩λxGcS(pG#QXpG#qxpH#qiHcr	λG$2λxH#qyH#qhxIcR9GcqxpFcQhpHcQH`FcQXhFc∩λxFcRλhG#Q8`FcqXpGc1hpGcQHhF$⊃h`Gd1yλH$2_xGcqh`Fcqx`DcQXhH$⊃hpGcqyλH#qhxG#qi⊂H#qhpG#1(pFcQh`G#1YλFc1X`G#qXxG#QXhFd⊃yHc2λhG$⊃hxH$r)(I$/u "PhT8#R	$`%∩)Dp'Sj4p(∪J∧h'∀	th'∀	tx(∪iuλ&∀
5⊂(∪ITh&∪iu 'Rj∀p)∀J5 )∀*5⊂(S*∃ 'SIe'SIDh'SI4p&SItx*U*Dx'SIu⊂)U
uH*∃
E⊂'∪*∀x(∃J%(∪)Tx)SIdh%S	Dx'∩iDp$S)d`'∩i4h&∩iDX%Rλd`$∩I∧X$T)Dh(TJep5≡q)HTm_≤@ft~≥⊂itzM(j4z=_i4Z-⊂itZ-_itz-⊂i4z≥htZ-_ht:
λht:-λit:=λhtZ≥λht:≥λitz-htZ-ht:-_i4~≥λht:≥⊂i4:-⊂i4Z
λi4:≥λi4z-λi4z≥λi4z≥_i4:=⊂ht~=⊂htZ= itz-_iu~M ju:m0k5Zm8h4:-λi4Z
⊂ht~
λht:
ht:≥λh4→⎇gsy|pfszpg4→|xh4→⎇h3y⎇h4→lpgsy⎇hsy|xg4→|hg3y|xg4→|pgszxg3Ylxh3ylxh3ylph3y⎇gszxgsy|pfs9L`f3→\hf3→\Xfry,Xf2X|8cq98c0x< b0x<`p7KH[,V≠W+u:@Og3YPKdr)G"Q(0Da0_0@`P88C!pX_A←Oxλ>←/↔(:≥∞w_9≠mfp7\-FH5→f⊂/Xux/↔KUH-↔&@<a⊂H⊂@∨q_HB QλXF#QyλI#R	_Gd2_xHdRλxHdR	_H$R9⊂H$2)λId∩λhHd29λHd∩	λI$∩λxHd2→_H$2)λH$rYλHdqyH$r9⊂H$1xpH$∩→λHcrλpG#R)⊂Id2→Hd∩9HcR→G#QyH#1xhGd1hpG#qhhGc1hpGcQhpGcqiG#QYG$QXpH$∩_xGd⊃i_Gd⊃xpG$⊃yλH#r)λG$1hpGcRλxGd2λxH#2_xHcR	H$2_pGd1iλH#QYλI#qxxFcQXhG$1XxId⊃X`Fc1HpFbRλpFcQH`GcQ8pGcqXxGd⊃xhGcqhxF#r_pG#QyGcqxxFcQHXFcqxxEcQX`H#qxhGcqyλH#⊃hpGcqH`FbqHpFc1HpG"qiG#⊃yG#1X`F#QYH$⊃YFcqx`GcQhxGcr_pGd2i_J$OE "⊃λT0#QhT8$R)Th)∀J5'∪)e&Sid`(∀*%)T	tp&SIu)T	dh&∩idh&∩it`&Sj¬⊂*∀J%_(∀*∃λ)U
5⊂)∪IDx'SId`%Rj¬λ-∃
5⊂'SJ¬(Tk¬@,∃jE 'T	Tx(TJ¬_(∪)u⊂&RiTX'∩ITx'∀)$`%SIdp&∪)4x%S	DX&∩I48$RI$X&S	$0$∩I∀h'∀Jf3≤p	λQ,↔L esz≥⊂iu~=_itz-_htz=_j4zM_i4:≥_itz=_htZ-λht:≥λi4:-λhtZ-λhtZ-λi4Z-λhtZ≥ht:
⊂ht:≥⊂ht:≥⊂htZ-⊂i4~
λh4Z-⊂itZ-λi4Z≥λhtz-_itZ-⊂i4:- htZ= j4z-⊂itzM j5:m0kuZm0e1XL←/WkP]-vk0Z-⊗;0\-Vk(Y,6*xW+Uj`Vj5*`UjU~@Tju:hVju*XU*5
8SiTj`Ujtj(Sj4z_S)TJ0S)4Z8Ritz0RiTz(Rht:_QhT
_Sitz@S)Tj QhT	`M'∪)@N&sYhMfsI`O'∪	PN&RY8K$r9λH#⊃XxHd∩→λId1hXBa⊂Gp>←OGx?∨∂Gh<≡∞Gλ8≤
VX5Z,vH0X,&_1Y,ε_/WKUp-⊗K∃8,∃k¬(+∀jE )∀J5λ*U
5λ&Siu'SiTP&∪
ελ=a0X_A ⊃λHAa⊃_hF#R)_HcqyλId2_xHd2	H$∩→λJ$∩)Gd2	_Hd∩→Hd2)G$RHxI$R→λId1i⊂G$∩)H$RI⊂J$R→λI%∩IλGd∩λpG$∩	H$1xxG#R→Hd1yλH$R(xH$⊃iGcQy⊂HcrλpG#rλ`G#1XxFcQiλFcQhxG$⊃hxFcQIFcqiH$2(pG#QiG#⊃XpGdqy⊂Gd∩(pI#qyλG$∩9λHd2λxGcR)⊂Gd∩)⊂I$RλxEcqyHcqhxH#1XpH$⊃hhI$⊃YH$∩_`FcqhpGc∩λpFc1IHd1hhG#18pGcQhhGd⊃xpGc2λhH#qXxH$⊃HXG#1HhFc1xpFcR_hGd1xxGc⊃xhG#∩	_Fc1_`Fc⊃hpG#rλpFbqXxF#⊃XpFcqxhEc2	λHd⊃hxH#QhhGdQyFcR)λG$RI Icp¬8"Q(T "⊃)∧@&∩)DX'T
Tp&∪iuλ'∪J∧p(Sj∧x(TID`(S)Dx'∀itx&S	e'∪J∃(U
%⊂(T*5λ'Sj∧x(∀J¬λ(T	Tp'∩idx&∪)eλ+Tiuλ)∃
U_*⊗∃8-∃k∃P*∪iTh'SiTx&RitX%RiD`(∩iD`'T	Tp'S)Dp'∪	TP'S)T`'SItX%S	4p&∩iT@$S
∧@$R	$X)∪j5@/~o_@LjV|⊂d3:≥⊂itz- itZ-⊂itZ=_itZ-_htz=⊂htz= i4Z-λi4:≥λht~≥⊂htZ=⊂it:≥i4:
ht:≥λhtZ-⊂i4z≥λi4Z-λh3z
λht:=_i4:-h4:-λh4:-_i4Z-⊂htz=_i4Z=_j4z≥_j4z= j5~M8k5:M0Nd⊃HXD"Phλ@∨∂G@<↑O'`>←p(>←Ow`>≡/GP=≡/π8;].W(:]o↔H>≡.wH<]Nw8<↑/'P>≡∂π8<≥ng(<≡.g8<≡∞w(;≥Nw(;≥NW :\.↔ 8\
w ;≡∞W@;]nW0:]∞'_9≥∞G :≤NG⊂9≤∞↔λ9≤n&x9\-w:≠-fp8≠
FX7[n↔_9\N⊗x7≠-⊗ 4Xl⊗⊂-W+U`,⊗K%(-⊗
58*∃*U((Tj¬_)∀j5λ*∃
U⊂)∀J∃λ(TJ¬λ+∀
∃'∀*%)∃
∃⊂&S)th&S	4P%S)ex= P8⊂A Px@C"⊃8pG#r)λGdQyHd∩9λGcqhxI#RλxGd∩→GdQyH$∩λxH$∩9λI$RI⊂I#r)⊂J#rλxGcr	λHd∩	HdR(`HdR9_G#rλpFcQy⊂H#qxhG$∩→H#r→GdR_pG$∩λxFd⊃iH#rλhF#⊃xhF"Q8`G#r	HcQyG$QiGc1iλH#RλhG#qxpH#1yG#QhpHcr	⊂Gd∩_xId2	Hd∩λxGdRλ`H$∩	⊂HcrλhG$∩λhF$∩(pH#⊃xxFc1hpHcr(xIdqyλHcr(hG$⊃xpH#QHpFc18pGd⊃iGd∩→H$1yλG#qxhG#QhpGcqhhFd⊃XxFcqX`FcQx`EcQhhG#r	λGc⊃8hGcQIG#⊃(`Gc⊃X`Gc1xpF#1XhE#⊃XpFc2λpG#QhpGd1xxG#qhpH#r	Gd∩)⊂I$29⊂I$Oe "Q	∧0!Qht8$RI∀P$RI$P&SITp'T	E⊂(∪
Tx'Sidp'S)tx)∪iu)∪J∃⊂(SIuλ)U
∃ *U
%⊂'SJ∧x)∪ieλ)∀)U_&∪)Dx'SIU_*UJ¬0(TJ5 *V*u(,⊗+%8+∀	d`%Ri4X&R)$P'Ri4`(∪)d`'T*¬'SiTh'∪Id`'S)T`%SIth&S	$X&SiTp&∪)Th'∩ID8%∩)∧`&∪
¬ -Y.H⊂J(v≠hcs9⎇i4Z-_itz=⊂j4ZM_iu~M_i4z=_i4:≥⊂it:≥⊂ht:≥ht:=λi4Z-λi4Z≥λhsz≥λht:-⊂itZ≥λi4Z≥⊂h4~≥λhtZ≥_i4:
⊂h4:=⊂ht:
λht:-⊂itz-_i4:=_itZ=_ju~M ju:]0k5ZM(1X,⊗λ2YlF⊂1_l¬x0_&⊂1Y,v03Y,V_1X,F⊂1Yv⊂/Xv.X⊗λ1→6⊂0_⊗_1XlF@1XL∃x/X,⊗0_Lε0XL&⊂1_6⊂1→,6λ1_Kf .WK%X0Xl⊗ 1_l& 1_,%x0Wl&λ1_⊗/X⊗_1→⊗⊂.Wkep/↔ep/↔%P-↔+Uh/_,⊗/W5P-⊗K¬@*Tk∃ +TJU⊂)TJ∃()∀j%)∀Idx)∃
5⊂(∀JE_)U
¬8(∪idx&TIu'∪J∀x(∀j∃λ(∪Ith'SiTx'∪	e`<a⊂(λB q_@C!q_`Fc1yHd2λxFcr	λH#qXpGcR→Fd∩→⊂I%∩9⊂I#r	H$∩→⊂Hcr	λH$2→H$∩)Gd⊃yH#r→Gdr)λI$QxhG$2	G#r9λHd1xpGd∩→λGcRλxGd∩_xGcqxpFcqYλGd∩_pGd⊃x`EbqX`Gd⊃XxGcQxxFcQXxGcQxxG#⊃hpGc1xxFcQxxG#r	G#r_xHd1xpGd2	 I#QhpGdr	H#RλxG#RλpG#rλxH$⊃hhEcrλpH$1iλIdr_xI%∩→⊂FcqhhG#R	⊂Fc⊃iG"q8pFcr	G#r	Ecr(pG"qh`G#QX`G#∩	λG#QHhGcQXhGc⊃XxG#QXxGcQHXFcQHxG#1HXFc1X`H$⊃xhG"q8pG#1h`G#qhhF#⊃hXFcQhpFcqiG#QXpH$∩λxHcr→_I$2)λI$OE⊂"Q	∀ $∩(d`$R)Dp%RI∀x&∪iDx'S)T`&∪itp&TJ∃λ'∀)u'∪iDX&∪)Uλ(∪iu+∀
¬_+Tj5λ(∀
∧x'∪ITp)∪j∀x'T*∀p&T*¬*∃J∃(+TjU0+UjE⊂+VkE0*T*∀`'∩i$X&∪)4X'∪	D`%∪idp(Tiu0'T	Tp'SIt`%∪)dP&∀	dX'∪	Tp*TIT`%∪	TX&∩It`%∩i∀`$R	$@$S)uλ+X-G`G'u[Ha29⎇_iu~=_i4zM_iu~M_i4z=_itZ-⊂itZ-_i4z=λhtZ=⊂i4Z-htZ≥h4:≥λi4Z≥⊂it:≥i4Z-λht:-⊂ht:≥λhtZ≥λht:-⊂i4:≥⊂i4z-λhtZ=⊂htZ=⊂j4z-(ju~M juZ]0juZm(*∀*5(,⊗+%8,W5@+VK¬X-WKup.↔kUp,Vk%P.Wk∃X.⊗KEX,V+%P.W+UH,V+¬@-↔UX.⊗k∃H,V+∃H,⊗∃H,∃k∃P,VkEh.X¬p/VkEH+UK¬`.⊗+%`.VK∃`-⊗¬@-⊗+5`.↔5X-↔,∃X.Xu`-∃k∃@+U
e@+∃JU8*∃K¬H-↔KE`,∃K¬H-Vk¬8)U*E )∀JE_)∀J∃ 'Tj5'∪j¬)TJ%⊂'U
∃ )∃
∃⊂(Siu'S*%λ(SjEλ'T)u⊂)∪j∧x(∀	Dp)∪*∃x>b⊂HB 0h`Db⊃(hG#RλpHd2λxGd∩	λI$1xxGcR)⊂H$∩	⊂I$2)_H$∩9⊂J$r	⊂Id1yλI%∩→λHe∩	λGdRYλH#QiG$2λxHe1xhG$⊃h`Id2iHd2	λHc1hxHd⊃hxGcr_pH#1hxHc1iI$1hhFcqxpFcQx`G#q8pG#Qh`Fc1xpG#QXxG#rλxHcqXpE#1XpH$1hpF$1hpGcQhpG$⊃yλFcQXxGd1yI$∩_xGcqhxGd2λhG$⊃xxF#1yλH$QxhHd∩	G$⊃hpG#qxpG#QiEcQhxG#Q(pEc2λpFcRλhF#qxhGc⊃(`H#qX`Fc1xxH#QyλFcQXpH#R)G#18xGcQ8PG#QHpF$⊃H`Fc⊃hpGd∩λhF"Q8PEc⊃XxGcqXxFcRλ`EcR)Gd1xxHcqXPFd2→λH$2	⊂Idr)I#O∃$∩λd !Qhd0#R	$p&∩iU&SIu⊂'S)D`'∪j∀x&∀
4p'T)dx(∪IT`'∪itp)∪)eλ&∀
∀x)∀*%⊂(∃
¬⊂(T)uλ*∀	Tp'Tj$x(SiEλ+U*%⊂+∃
u(+⊗j5(*VK58+T	Dh'Rie%SI4h&S	Dh'∀)dp(T)tp&S*∧h&S)Tx'∪)d`&∪iTp&SIuλ(∀)4`'∪	tp%SJ∀p&∪iDH$S	$8#RI4H&∩iU+↔LgλB%U+8a29m⊂i5~M(ju:]⊂itzM_j4z- j5~=⊂itz-_i4Z-gsz
i4Z
λh4:≤xh4~
λi4Z≥λi4z=⊂i4:-λht:≥λht:=_i4Z-⊂j4:≥⊂i4Z≥λht:=_htzM_j4z=_ju:= j5:m(juZ]0)∪iu_)U+∃8.V
uP+∃JuH,V+UP-⊗k%`-⊗∃`-⊗*u(-U+%X-⊗k5h-⊗K58,⊗K∃@+Vk%X.VkeP,⊗∃@-∃JUH+VK∃h.⊗kEx.Wkf0↔k5h+UK¬H,VK%h.W5`-Uk¬P,⊗5p.Wex-WUX.↔KEP,V¬H+∃*E0*U
U@+UJeP,V5`,∃jeP.⊗*e(*TjU()∃*Uλ*∀J∃_'∀J$p(∀J%*∀J5⊂)∀*E()U
U_)TJ¬λ&∪*∃_(∀j4x(∀Iuλ'∪)e⊂'Sitp'∪Jε>"1λ⊂B ⊂H`D!QX`G#QxpHcr9H$∩	_H#QXpGcr	λHd2	Hd2)⊂GdR) Id∩)H$r)_I$R	⊂Hd∩	λGd∩	λI#QXpG$∩	λH#rIGd⊃hXG#qHxH$∩)HcQyG#qXhH#QHXF"qXxH#qyλH#qhpFcQhhFc1XxG#1HxHcqhxG#1hxG#1YG$1hhH$2_pFd⊃xpG#QXxG#qhhF#1hpGd1yGd∩	GdR)⊂H#1y⊂Fc1YλH$⊃x`F#qXxH#1xxG#⊃H`H#QXpG#qyFcQyGdQx`E#⊃hxG#Q(pFc1hxGc2λhF#rλhEc⊃8`Gc1XhG#qxxG#qyH#qhxG#⊃hpF#q8`Ec18XFbq8hF#1XhG#⊃hhFcr(`F#⊃X`Ec1yH#QXhFcqhhGcqxhHd⊃y⊂H#QxhF#qy⊂Hd⊃y_Hd2)_Jc∞eλ$∩hd("⊃HT0#QI4`&∪Id`&S)Th&S	Tp&SJ∃'∪jU⊂(T)tx)∪Ith&∪iu(∪*5λ'Sj¬⊂)∪j∧p(∀J∀x&∀Ieλ+Sie8(∀J∃&SJ∃_+TjU_)∃
E(*UJE_*UK¬@*∀	Dx&∪*∧h'∪	4h&∩iEλ'T)U0'Sid`'∪)Tp'∪*∧p&S
∧X&∪	D`'∪ITh(T	th&S	eλ%SITp'∪It`&∪	TP$∩	∧@%⊃I40$∩)Dh)Vlg0Aet{⊂`1YMi5~]_iu~] j5~- ju:M_i4zM⊂itZ-⊂ht:
i4:
h4:-λh4~
⊂i4z-λi4z=λit:-⊂i4:≥⊂i4Z-λi4z-⊂i4Z≥⊂htZ≥λhtZ-_htZ=_j4z- j5~] iu:](k5Z⎇8'∀
∃_*∃KE@*V¬8-UjuP,⊗K%h1↔+∃H+VKEp,W%0+V5P/⊗kUP.W5@+V∃0+⊗k5`-V+UH+∃k∃X.∃jUX+V+¬H,⊗KeP.WKuh/→U`+⊗*U`,W+E`.⊗kEP-W∃X-⊗+%P-X¬p._Uh0↔KUX,V
uH+∃*%(+U*E@+UJuH+∃K∃P,⊗K%H+Uk∃8)∀K¬⊂(UJu⊂)∀
∧h'T
∃*∀iu(Tj50*∀je()TJU0,∃*U (T
58)Sj%*∀j¬λ(∀
Uλ'S*∀h'SjF⊂=b⊂x⊂A 1(hCb⊃(pG$⊃hpH#r_hFd∩	FcqhxG$∩→λGc1yH$∩→GdR→λI#r	 I$29_Gd∩	⊂Hd2→H$∩)λH$2	H$29H#r→λFcrλpG#r(pGd∩_pHcqhhGcqhpHcqh`H#qhpGcqhpGcRλpG#QxhF#QXhH#qHhH$⊃X`Fc⊃HhGcqiI$QxXFd2λ`F#∩λhG#QxpG#qxhFc1yH$⊃XxHd1hxHcr_xG#R	⊂GcR	λG#QhpGd⊃yλGc1X`G#QhhGd⊃iGcqxpF#qX`FcqxpF#1XxFd⊃HpF#1XxGc1XhF#1XpFc⊃hpGcqx`Gd⊃hhG$⊃yH#QXhG#1X`Ec⊃HXEbq(`FbQHXEd⊃h`F#⊃(pF#1hpF"qxpEc1yGcqHhG#1HxGcQHxH$⊃xxH$⊃XxGc⊃yG$2(xGdQy⊂Hc∞Dh#QHd "Rλd@$RI4h%S)Tp'T
∀h%S)Th&∀)dx'SIu)∪idp(∪)Dp(U
∃'SJ∧p'S*5⊂'T*¬λ'∀)tx&SJ¬)∀)uλ'∀
∀x'∀	e⊂+Tj5λ-∃J5 -∃*e +Uk5_+∪Idp(∪ieλ(SiD`'S	DP(∪id`'TI4`&∪)Th*∪Idp%Sj∧x&RiTX(∪	E&TjD`&T	Tp'∪)4p)∪	Th&∪)4X%RIDX$R	$@$Qhd8%S	5⊂)WG_@#∪j`\qYLxi5~](ju~M ju~M itzM_i4z=_it:
λi4z≥⊂ht~≥_ht~
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∃'∪)u(-⊗
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$x(∀JEλ)TJ4x'∀*∃(∪itx&∀	Dx&SJ∃(∪J%λ'∪Idp(T
∧x&T
∧p'SIu⊂)Sj∃λ'Tj5⊂&S*4h'∪)T`)∪Id`*∪It`&S	Th&T	∀X$S)$H%RJ¬⊂+↔,w @d4≠]q9Lph4zM j5~=_j5~] j4zM_i4Z-_i4ZM_iu~M itz=_j4z- iu~] j5:](k5~]8'TJ% ,VK∃8,V+U`-Vk∃H*V¬@*U+∃H-V+∃P-WEx/↔+%h.WU`/↔Uh.WKeP-⊗+¬P,⊗k5`1↔E`-VkE`,VK%p.↔KUp/↔Lε⊂/XL&λ0↔,¬x._⊗/W⊗_/↔ke`/XLε⊂0WL%x.WKE`.⊗kUP-W∃8+⊗%X/↔KUP.↔∃H,⊗*uP-↔5h/↔Kf_.Uje8*UK5P,∃Ju8,∃k5@+∃k5H,⊗Je@+V*u0-⊗+5H.⊗KEP-UjE(+∃jU⊂+∀jU8)U¬0+Vk%X/⊗k¬P+Tk%_+∀k7⊂C"18hGcrλxG#R	λH$1yHdRλxGd∩→λI$R	λJ$R_pG#qyGd∩_pI$R	⊂Hd2)HcqxhG#R)I#rλxI$1iI$1yHc1y⊂Gd∩8xH#qxhFcqiHdr→G$∩_pF#qHpH#⊃XxGcQXhG#⊃xpFcQYH$⊃XhFd⊃iI$2→λI#RλpGd⊃xhG$QxxH$QiFc∩	H$1xpGd2	FcQhhG$2→⊂I$∩_`H#qY⊂Gc1xhGd2λpFc1hpGcqyHc1hxG$⊃yG$⊃hpG#QXhFd∩λ`G#QxxF"qIGbqYFcqyF#1HhG#1XpGc1hhG#rλpG#R→Fc⊃hpEcQHhE"qXXF#1(XF#1X`EbqHhF"Q8XEb18HEc⊃8`Fc1X`FbqHPF#⊃X`F#⊃XxF#⊃_PEbq(PFd⊃xXH$2	λIdrI_I"t0 QhD(#⊃λD8$S
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8Yp9hh4z=_j5~]_iu~M i4z-_i4Z=_iu~] iu~M(j4z= j5~M ju:]0k5:]0)∀+%(,Vk%H-⊗K∃X-W∃8+∃JU0+U+¬8-↔K∃H._l¬p/↔eh.↔+ex-WEx._+5P,⊗K5P-↔5X.WKUH-⊗+5`.→E`.WKux.↔L⊗2_Up1↔KUx/↔kep/W+vλ/↔KEP0_Kup/↔l∃h.⊗+ελ/_+Up.↔%X-↔KEh,Vk5h-⊗k%P*Vk∃`-↔EX.Xux,UK¬8+V+5@+⊗*e@+∃K∃0*Uju0*UJU0,⊗*u8+⊗¬@,W+5P,U*e(+UJu(+∃*U0+Uk%@-⊗K%`.V+∃h,∃ju8)U6`Ab⊃(PG#qiGc⊃hxG#r→⊂Hd2(`Hd∩→λHdR→λIe∩_xH#r	Gcr_pI$⊃y⊂J$2(xHcqxpH#rλpGcqyH$qiλG#r→I$1iλHcr_xH#r_pGdR_xGd∩(pGcr_hFc1hxHc2	λH$RλhF#2_hH$1XxHcqhpG$∩_xG#QxxGd⊃xhHd1xhGcqyλH#qXpG"1yGcqh`E#qXpEc1xxGcQhxHdR(hGcqi_Gcqh`Fc2λXDc1xhF#1yG#QxxGcrλxH#r→λGcqxpEcQx`Fcr_xG#⊃8pG#QhxF#2_pEbqHhFc⊃X`H#QhhG#qX`Fc1xhFc1XhFbqh`Db1HXFc1(PG"qHhD#18XDaqHhEbqH`Ebq8hFc⊃8`Fc⊃8@Dc1h`EbqXhH#QHXD#⊃8`Hc⊃xhGcqiλIdRI GbL∀8!⊃i∧(#QHt@$S
%λ)∀j4x*∪j∀x'U	u⊂'T	u(∀
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∀p'SIu'S)T`'∪	tp'∀
¬⊂(∀
∃λ(Sj¬⊂)∪j∃λ(∀j5λ'∀	Th'∪Ith(∀
% )∪)Th&Sitp'T)Th%∩IDh'∪	T`%∩iE)VvH; r*λXnXL`gtZ=λi5~](jtZ= iu~](j4zM itzM_jtz-_iu:=⊂iuZm8k5Zm8(Tj5(,⊗+58-V
uX-W∃8-Uje0+∃
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eH,⊗K∃8)∃JE_*UjE@,Uk%H,VK5P-⊗
u0+UJu0*UJE_,VK5P,V+5P.Vk58,V*e0*U
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¬_)SJ∃λ)U*%8)∃
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e0+U
∃*∀*∃⊂*∃
5λ'T)u_)T	dx'∀
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5λ'SJ∧x(∃
E 'SJ∃(Tju`.↔∃(,∃jE⊂)U
eP,⊗
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∀p%S	u(∀
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¬(SiTx'SJ5λ(∀j¬)∀j∃⊂'T*$`'Sidx(T
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∃_(∀J5 )∃
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u8+V+5H,Vk¬0,V∃8,VK¬(,∃*e8+∃Ju0,↔%H,⊗k%@*UJu *U*U +∃k¬@.↔+UX,⊗K5H.↔UP/Vk%P,∃*v8?aq(hFcQx`G$⊃yλHd∩→λI$R→λGd∩	⊂GcQyλH#R→λI#QyλH$1iλH$qyH$R_xGe∩λxI$1hxH$2	H#qxxGcRλpHd1XpH$∩λxFd1xpG#⊃HxHcQxxGcRλxFcQHXH#qhxGd⊃hhG#2λxFc1XhF#qyλId1xxGd⊃hhHd⊃XpH$⊃8pHd2_hGcqXpH"qXpGcQxpGcR_`Gc1X`Ec⊃8xHcqi⊂GcrλxG#qh`F#Qh`G#QhpFcqyHcqhhH$18pFc⊃XxFc2λxH#rIλFcQhhFc⊃XxFcrHpEc⊃xpF#1h`Fc⊃8pFcQHPF#⊃XxG#1XhE"qX`E#1HhFbq8XGbq8XD"q(`EbQ_`F"1(HD"18HDc1HhGcqH@F#1XpEc∩	FbqXxH#⊃(XE#1XhFd⊃iH$1iI%∩9⊂H←k∧($PhT #⊃λT@&∪	e⊂(T+¬ *∃J5(T*e (∃*u()∃*E⊂*∃JU(*∃+¬`,VJe_(T*%8)∀j∧h'T)u)∀*¬(∪)tx*∀
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uh/⊗k%X+Tj%⊂(SJ∧p&S	TX&S)e&T	tx(T
∀x'T	Uλ'T	Dh'∪j∧x(∀Ieλ(Tiu +∀J%((Tj∃_(∀
¬⊂*T	dx(∀
∃+∀*¬λ)T*$x'Tj5⊂'SJE_)T*%(&∪	Tp(T*5λ*∀j∃⊂)∀)th(T*¬λ(TJ5λ)∀j% )∀J∀x'∀
∀x'∪ie(∪)Th(∀	eλ&SIth&∪)Tx%∪
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