In [ ]:
def mergesort(nums):
    msort(nums,0,len(nums)-1)

def msort(nums,left,right):
    if left < right:
        mid = (left + right) // 2 
        msort(nums,left,mid)
        msort(nums,mid+1,right)
        merge(nums,left,mid,right)

def merge(nums,left,mid,right):
    i = left
    j = mid + 1
    merged = []
    while i <= mid and j <= right:
        if nums[i] <= nums[j]:
            merged.append(nums[i])
            i = i + 1
        else:
            merged.append(nums[j])
            j = j + 1
    if i > mid:
        while j <= right:
            merged.append(nums[j])
            j = j + 1
    else:
        while i <= mid:
            merged.append(nums[i])
            i = i + 1
    for k in range(len(merged)):
        nums[left+k] = merged[k]
In [ ]:
#nums = [10,20,30,5,12,19,56]
nums = [10*i for i in range(100,0,-1)]
print(nums)
mergesort(nums)
print(nums)
[1000, 990, 980, 970, 960, 950, 940, 930, 920, 910, 900, 890, 880, 870, 860, 850, 840, 830, 820, 810, 800, 790, 780, 770, 760, 750, 740, 730, 720, 710, 700, 690, 680, 670, 660, 650, 640, 630, 620, 610, 600, 590, 580, 570, 560, 550, 540, 530, 520, 510, 500, 490, 480, 470, 460, 450, 440, 430, 420, 410, 400, 390, 380, 370, 360, 350, 340, 330, 320, 310, 300, 290, 280, 270, 260, 250, 240, 230, 220, 210, 200, 190, 180, 170, 160, 150, 140, 130, 120, 110, 100, 90, 80, 70, 60, 50, 40, 30, 20, 10]
[10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 510, 520, 530, 540, 550, 560, 570, 580, 590, 600, 610, 620, 630, 640, 650, 660, 670, 680, 690, 700, 710, 720, 730, 740, 750, 760, 770, 780, 790, 800, 810, 820, 830, 840, 850, 860, 870, 880, 890, 900, 910, 920, 930, 940, 950, 960, 970, 980, 990, 1000]
In [ ]:
left = 0
mid = 2
right = 6
merge(nums,left,mid,right)
print(nums)
In [ ]:
def qsort(nums):
    if len(nums) == 0:
        return []
    pivot = nums[0]
    part1, part2 = split(pivot,nums[1:])
    spart1 = qsort(part1)
    spart2 = qsort(part2)
    return spart1 + [pivot] + spart2

def split(pivot,nums):
    part1 = []
    part2 = []
    for num in nums:
        if num <= pivot:
            part1.append(num)
        else:
            part2.append(num)
    return part1,part2
In [ ]:
nums = [10*i for i in range(100,0,-1)]
print(nums)
answer = qsort(nums)
print(answer)
print(nums)
[1000, 990, 980, 970, 960, 950, 940, 930, 920, 910, 900, 890, 880, 870, 860, 850, 840, 830, 820, 810, 800, 790, 780, 770, 760, 750, 740, 730, 720, 710, 700, 690, 680, 670, 660, 650, 640, 630, 620, 610, 600, 590, 580, 570, 560, 550, 540, 530, 520, 510, 500, 490, 480, 470, 460, 450, 440, 430, 420, 410, 400, 390, 380, 370, 360, 350, 340, 330, 320, 310, 300, 290, 280, 270, 260, 250, 240, 230, 220, 210, 200, 190, 180, 170, 160, 150, 140, 130, 120, 110, 100, 90, 80, 70, 60, 50, 40, 30, 20, 10]
[10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 510, 520, 530, 540, 550, 560, 570, 580, 590, 600, 610, 620, 630, 640, 650, 660, 670, 680, 690, 700, 710, 720, 730, 740, 750, 760, 770, 780, 790, 800, 810, 820, 830, 840, 850, 860, 870, 880, 890, 900, 910, 920, 930, 940, 950, 960, 970, 980, 990, 1000]
[1000, 990, 980, 970, 960, 950, 940, 930, 920, 910, 900, 890, 880, 870, 860, 850, 840, 830, 820, 810, 800, 790, 780, 770, 760, 750, 740, 730, 720, 710, 700, 690, 680, 670, 660, 650, 640, 630, 620, 610, 600, 590, 580, 570, 560, 550, 540, 530, 520, 510, 500, 490, 480, 470, 460, 450, 440, 430, 420, 410, 400, 390, 380, 370, 360, 350, 340, 330, 320, 310, 300, 290, 280, 270, 260, 250, 240, 230, 220, 210, 200, 190, 180, 170, 160, 150, 140, 130, 120, 110, 100, 90, 80, 70, 60, 50, 40, 30, 20, 10]