Bu yerda $T(n) = O(n^3) $ ning rasmiy induksiya isboti bor: \begin{proof} Biz $c$ va $n_0$ ning musbat konstantlari borligini ko'rsatmoqchimiz, ya'ni $n \geq n_0$ uchun $T(n) \leq c \cdot n^3$ bor. Biz $c = 15 + 1 + 4/n_0^3$ va $n_0 = 2$ ni tanlay olamiz. Keyin, barcha $n \geq n_0$ uchun, \begin{align*} T(n) &= 15^3 + n^2 + 4 \leq 15^3 + n^3 + n^3 \= (15+1+1) ^n3 &\leq 17^3 \leq \cdot n^3. Shu sababli, \align=
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