import numpy as np
def getuf(data):
    l = len(data)
    s = np.zeros(l,dtype=np.int32)
    uf = np.zeros(l)
    for i in range(1,l):
        r = 0
        for j in range(i):
            if(data > data[j]):
                r = r + 1
        s = s[i-1] + r
        index = i + 1
        e = (index * (index-1)) / 4
        v = index * (index - 1) * (2 * index + 5) / 72
        uf = (s - e) / np.sqrt(v)
        uf = round(uf,2)
    return uf
def main():
    ufinput = np.loadtxt("data.txt")
    uf = getuf(ufinput)
    ubinput = ufinput[::-1]
    temp = getuf(ubinput) * (-1)
    ub = temp[::-1]
    a1 = np.empty_like(uf)
    a1[:] = -1.96
    a2 = a1 * (-1)
    output = np.array([uf, ub, a1, a2])
    np.savetxt("output.txt", output.T, "%.2f", delimiter = "\t")
if __name__ == '__main__':
    main()