2.1 BubbleSortModified.ipynb

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    "#Bubble Sort \n",
    "  \n",
    "def bubbleSort(arr): \n",
    "    n = len(arr) \n",
    "  \n",
    "    # Traverse through all array elements \n",
    "    for i in range(n-1): \n",
    "    # range(n) also work but outer loop will repeat one time more than needed. \n",
    "  \n",
    "        # Last i elements are already in place \n",
    "        for j in range(0, n-i-1): \n",
    "  \n",
    "            # traverse the array from 0 to n-i-1 \n",
    "            # Swap if the element found is greater \n",
    "            # than the next element \n",
    "            if arr[j] > arr[j+1] : \n",
    "                arr[j], arr[j+1] = arr[j+1], arr[j] \n",
    "  \n",
    "arr = [64, 34, 25, 12, 22, 11, 90] \n",
    "  \n",
    "bubbleSort(arr) \n",
    "  \n",
    "print (\"Sorted array is:\") \n",
    "for i in range(len(arr)): \n",
    "    print (\"%d\" %arr[i]),  "
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