import math
def stats(sample):
    x = list(sample)
    n = len(x)
    mn = min(x)
    mx = max(x)
    razmah = mx - mn
    mean = sum(x) / n
    if n > 1:
        s = math.sqrt(sum((xi - mean) ** 2 for xi in x) / (n - 1))
    else:
        s = 0.0
    if s == 0:
        ratio = None
    else:
        ratio = razmah / s
    return mn, mx, razmah, s, ratio
def intervals(sample, m):
    mn, mx, razmah, s, ratio = stats(sample)
    x = sorted(sample)
    n = len(x)
    borders = [mn]
    for k in range(1, m):
        idx = int(k * n / m)
        borders.append(x[idx])
    borders.append(mx)
    counts = [0] * m
    for v in sample:
        placed = False
        for i in range(m - 1):
            if borders[i] <= v < borders[i + 1]:
                counts[i] += 1
                placed = True
                break
        if not placed:
            if borders[m - 1] <= v <= borders[m]:
                counts[m - 1] += 1
    return borders, counts