def f(m, n):
num_ways = 1
for b in range(1, (n + 1) // (m + 1) + 1):
lim = n - b + 1
for c in combinations_with_limit(b, m, lim):
p = n - sum(c) + 1
num_ways += bicoeff(p, b) * count_permutations(c)
return num_ways
def f(m, n):
num_ways = 1
for b in range(1, (n + 1) // (m + 1) + 1):
lim = n - b + 1
for c in combinations_with_limit(b, m, lim):
p = n - sum(c) + 1
num_ways += bicoeff(p, b) * count_permutations(c)
return num_ways
def e117():
units = 50
num_ways = 0
for r in range(units // 2 + 1):
for g in range((units - 2 * r) // 3 + 1):
for b in range((units - 2 * r - 3 * g) // 4 + 1):
p = units - 2 * r - 3 * g - 4 * b + r + g + b
blocks = r + g + b
c1 = bicoeff(p, blocks)
c2 = multinomial_coefficient(blocks, (r, g, b))
num_ways += c1 * c2
return num_ways
def e117():
units = 50
num_ways = 0
for r in range(units // 2 + 1):
for g in range((units - 2 * r) // 3 + 1):
for b in range((units - 2 * r - 3 * g) // 4 + 1):
p = units - 2 * r - 3 * g - 4 * b + r + g + b
blocks = r + g + b
c1 = bicoeff(p, blocks)
c2 = multinomial_coefficient(blocks, (r, g, b))
num_ways += c1 * c2
return num_ways
def f(m, n):
num_ways = 0
for b in range(1, m // n + 1):
num_ways += bicoeff(m - b * (n - 1), b)
return num_ways
def f(m, n):
num_ways = 0
for b in range(1, m // n + 1):
num_ways += bicoeff(m - b * (n - 1), b)
return num_ways
