发布日期:
2020-01-29
更新日期:
2020-01-29
文章字数:
283
阅读时长:
1 分
阅读次数:
SORT
1. BUBBLE SORT
BUBBLE-SORT(A)
//A:sort array
for i = 1 to A.length - 1
for j = A.length to i + 1
if A[j] < A[j-1]
swap(A[j], A[j-1]
$$ \Theta (n^2) $$
2. INSERTION SORT
INSERTION-SORT(A)
//A:sort array
for j = 2 to A.length
key = A[j]
//Insert A[j] into the sorted sequence A[1..j-1]
i = j - 1
while i > 0 and A[i] > key
A[i+1] = A[i]
i = i - 1
A[i+1] = key
$$ \Theta (n^2) $$
3. SELECT SORT
SELECT-SORT(A)
//A:sort array
for i = 1 to range(i,A.length)
min = A[i]
for j = 1 to A.length
if min > A[j]
min = A[j]
min_index = j
swap(A[i],A[min_index])
$$ \Theta (n^2) $$
4. MERGE SORT
MERGE-SORT(A, p, r)
//A:sort array
//p:begin index
//r:end index
if p < r
q = [(p + r) / 2]
MERGE-SORT(A, p, q)
MERGE-SORT(A, q+1, r)
MERGE(A, p, q, r)
MERGE(A, p, q, r)
//A:sort array
//p:begin index
//q:mid index
//r:end index
n1 = q - p + 1
n2 = r - q
Let L[1..n1 + 1] and R[1..n2 + 1] be new arrays
for i = 1 to n1
L[i] = A[p + i - 1]
for j = 1 to n2
R[j] = A[q + j]
L[n1 + 1] = infinity
R[n2 + 1] = infinity
i = 1
j = 1
for k = p to r
if L[i] <= R[j]
A[k] = L[i]
i = i + 1
else
A[k] = R[j]
j = j + 1
$$ \Theta (n) $$
