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ct0371-2, ct0371-1: Fix typos
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alek3y committed Jan 1, 2024
1 parent 5483d35 commit 32d387f
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Showing 3 changed files with 5 additions and 8 deletions.
2 changes: 1 addition & 1 deletion src/ct0371-1/01/03/README.md
Original file line number Diff line number Diff line change
Expand Up @@ -128,7 +128,7 @@ Allora dato un $d = \log_b a$, si ha:

- **Caso 3**

$$\exists \epsilon > 0 : f(n) = \Omega(n^{n + \epsilon})\ \land\ \exists 0 < c < 1 : a \cdot f\left(\frac{n}{b}\right) \leq c \cdot f(n) \\ \Downarrow \\ T(n) = \Theta(f(n))$$
$$\exists \epsilon > 0 : f(n) = \Omega(n^{d + \epsilon})\ \land\ \exists 0 < c < 1 : a \cdot f\left(\frac{n}{b}\right) \leq c \cdot f(n) \\ \Downarrow \\ T(n) = \Theta(f(n))$$
per cui, se ci vuole **più tempo per dividere il padre** in $a$ figli che per dividere tutti gli $a$ figli (per la _condizione ausiliaria_), allora la _complessità_ è **dominata dalla parte di suddivisione** $f(n)$.

Per esempio, se
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2 changes: 1 addition & 1 deletion src/ct0371-2/02/05/README.md
Original file line number Diff line number Diff line change
Expand Up @@ -16,7 +16,7 @@ Dato che la maggior parte delle operazioni sono $O(h)$ dove $h$ è l'**altezza**
if x == NIL or x.info == k
return x
else
if x.Key > k
if x.info > k
return tree_search(x.left, k)
else
return tree_search(x.right, k)
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9 changes: 3 additions & 6 deletions src/ct0371-2/03/02/README.md
Original file line number Diff line number Diff line change
Expand Up @@ -14,19 +14,16 @@ merge(Array A, int p, int med, int r)
L = []
left_len = med - p + 1
for i = 1 to left_len
push(L, A[p + i - 1])
push(L, A[p + i-1])

R = []
right_len = r - med
for i = 1 to right_len
push(R, A[q + j])

push(L, Infinity)
push(R, Infinity)
push(R, A[med + i])

i = 1, j = 1
for k = p to r
if L[i] <= R[j]
if i <= left_len and (j > right_len or L[i] <= R[j])
A[k] = L[i]
i++
else
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