Week-2 Assignment Solution Jan-March 2020

Week-2 Assignment Solution (Last Date : 15/02/2020)

def threesquares(N) :

    i = 0

    while (i * i<= N) :

        j= i

        while (j * j <= N) :

            k = j 

            while (k * k <= N) :

                if (i * i + j * j + k * k  == N) :

                    return True

                k = k + 1

            j = j + 1

        i = i + 1

    return False

def repfree(s):

    a = set(s)

    return len(a) == len(s)

def hillvalley(l):

    if l == []:

        return False

    stop = -1

    i = 1

    flag = True

    if l[0] > l[1]:

        i = 1

        for i in range(i, len(l)):

            if l[i-1] < l[i]:

                stop = i

                break

        if stop == -1:

            return False

        i = stop

        for i in range(i, len(l)):

            if l[i-1] > l[i]:

                flag = False

                break

        return flag

    elif l[0] < l[1]:

        for i in range(1, len(l)):

            if l[i-1] > l[i]:

                stop = i

                break

        if stop == -1:

            return False

        for i in range(i, len(l)):

            if l[i-1] < l[i]:

                flag = False

                break

        return flag

    else:

        return False

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