[python] Insert an item into sorted list in Python

I'm creating a class where one of the methods inserts a new item into the sorted list. The item is inserted in the corrected (sorted) position in the sorted list. I'm not allowed to use any built-in list functions or methods other than [], [:], +, and len though. This is the part that's really confusing to me.

What would be the best way in going about this?

This is the best way to append the list and insert values to sorted list:

 a = [] num = int(input('How many numbers: ')) for n in range(num):
     numbers = int(input('Enter values:'))
     a.append(numbers)

 b = sorted(a) print(b) c = int(input("enter value:")) for i in
 range(len(b)):
     if b[i] > c:
         index = i
         break d = b[:i] + [c] + b[i:] print(d)`

# function to insert a number in an sorted list


def pstatement(value_returned):
    return print('new sorted list =', value_returned)


def insert(input, n):
    print('input list = ', input)
    print('number to insert = ', n)
    print('range to iterate is =', len(input))

    first = input[0]
    print('first element =', first)
    last = input[-1]
    print('last element =', last)

    if first > n:
        list = [n] + input[:]
        return pstatement(list)
    elif last < n:
        list = input[:] + [n]
        return pstatement(list)
    else:
        for i in range(len(input)):
            if input[i] > n:
                break
    list = input[:i] + [n] + input[i:]
    return pstatement(list)

# Input values
listq = [2, 4, 5]
n = 1

insert(listq, n)

This is a possible solution for you:

a = [15, 12, 10]
b = sorted(a)
print b # --> b = [10, 12, 15]
c = 13
for i in range(len(b)):
    if b[i] > c:
        break
d = b[:i] + [c] + b[i:]
print d # --> d = [10, 12, 13, 15]

Hint 1: You might want to study the Python code in the bisect module.

Hint 2: Slicing can be used for list insertion:

>>> s = ['a', 'b', 'd', 'e']
>>> s[2:2] = ['c']
>>> s
['a', 'b', 'c', 'd', 'e']

Use the insort function of the bisect module:

import bisect 
a = [1, 2, 4, 5] 
bisect.insort(a, 3) 
print(a)

Output

[1, 2, 3, 4, 5] 

You should use the bisect module. Also, the list needs to be sorted before using bisect.insort_left

It's a pretty big difference.

>>> l = [0, 2, 4, 5, 9]
>>> bisect.insort_left(l,8)
>>> l
[0, 2, 4, 5, 8, 9]

timeit.timeit("l.append(8); l = sorted(l)",setup="l = [4,2,0,9,5]; import bisect; l = sorted(l)",number=10000)
    1.2235019207000732

timeit.timeit("bisect.insort_left(l,8)",setup="l = [4,2,0,9,5]; import bisect; l=sorted(l)",number=10000)
    0.041441917419433594

I'm learning Algorithm right now, so i wonder how bisect module writes. Here is the code from bisect module about inserting an item into sorted list, which uses dichotomy:

def insort_right(a, x, lo=0, hi=None):
    """Insert item x in list a, and keep it sorted assuming a is sorted.
    If x is already in a, insert it to the right of the rightmost x.
    Optional args lo (default 0) and hi (default len(a)) bound the
    slice of a to be searched.
    """

    if lo < 0:
        raise ValueError('lo must be non-negative')
    if hi is None:
        hi = len(a)
    while lo < hi:
        mid = (lo+hi)//2
        if x < a[mid]:
            hi = mid
        else:
            lo = mid+1
    a.insert(lo, x)