from random import randint

def initnxnMatrix(count:int)->list[list]:
    Array = [[randint(1, 100) for _ in range(count)] for _ in range(count)]
    return Array

def printMatrix(Array:list[list])->None:
    for i in range(len(Array)+1):
        print(f"{i}\t", end="")
    print("")
    for index in range(len(Array)):
        print(f"{index+1}\t", end="")
        for value in Array[index]:
            print(f"{value}\t", end="")
        print("")

def transDiagonalMatrix(Array:list[list], i:int)->list:
    if Array[i] != Array[-(i+1)]:
        Array[i] += Array[-(i+1)]
        Array[-(i+1)] = Array[i] - Array[-(i+1)]
        Array[i] = Array[i] - Array[-(i+1)]
    return Array

def divideEvenColumnsMainDiagonal(Array:list[list])->list[list]:
    mainDiagonal = 0
    for index, element in enumerate(Array):
        mainDiagonal += element[index]
    for elementIndex, element in enumerate(Array):
        for index in range(len(element)):
            if (index + 1)%2==0:
                Array[elementIndex][index] //= mainDiagonal
    return Array