: S - , , , . , . .
. Sk-1 k " ", Sk , Sk. , , Sn-1 -,
. Zn = fn(Sn-1; Xn) n , Sn-1 . Zn*(Sn-1) = opt fn(Sn-1; Xn) - (max, min) n- .
n Zn* Sn-1 n- . Zn*(Sn-1) = opt fn(Sn-1; Xn) Sn-1 : Zn*(Sn-1) Xn*(Sn-1).
: n- (n-1)-: fn-1(Sn-2; Xn-1),
fn-1(Sn-2; Xn-1)+Zn*(Sn-1) 2- .
Sn-2 , (n-) . , Xn-1.
Z*n-1(Sn-2) = opt (fn-1 (Sn-2; Xn-1)+Zn*(Sn-1)). Z*(n-2) max (min) 2- . , X*n-1(Sn-2) n-1 .
Sn-1 = φ n-1 (Sn-2; Sn-1), Z*n-1(Sn-2), .. Sn-1 Sn-2, Z Sn-2.
Z*k(Sk-1) = opt (fk(Sk-1;Xk) + Z*k+1(Sk)) , k=n-1, n-2, n-3 ( ).
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V.