def count_sum(max, total, dice):
    count = 0
    if total < 1 or total > max*dice:
        return 0
    if dice == 1:
        if 1 <= total <= max:
            return 1
        else:
            return 0
    for last in range(1, max+1):
        count += count_sum(max, total-last, dice-1)
    return count

v = [count_sum(10,k,3) for k in range(32)]
print v
t = sum([a*a for a in v])
print t, t/13


def delta(x,y):
    return 1 if x==y else 0

vv = [0]*31
ww = [0]*31
for i in range(10):
        for j in range(10):
            for k in range(10):
                total = i+j+k
                vv[total] += 1
                if i != 0:
                    ww[total] += 1

print vv
print ww

t = sum([a*b for a,b in zip(vv, ww)])
print t, t/13

t = sum([a*a for a in vv])
print t, t/13