import scipy.special

def getARI(mat, k, s, total):

    t1 = 0

    for i in range(k):
        sum_k = 0
        for j in range(s):
            sum_k += mat[i][j]

        t1 += scipy.special.binom(sum_k, 2)

    t2 = 0

    for i in range(s):
        sum_s = 0
        for j in range(k):
            sum_s += mat[j][i]

        t2 += scipy.special.binom(sum_s, 2)

    t3 = t1*t2/scipy.special.binom(total, 2)

    t = 0

    for i in range(k):
        for j in range(s):
            t += scipy.special.binom(mat[i][j], 2)

    ari = (t-t3)/((t1+t2)/2-t3)*100

    return ari

prev_ari = getARI(bins_species, 2, 2, total_maxbin_binned)