def solve(n, m):
if n % 2 == 1 and m == n:
print("rec1 :", [[n - k, k] for k in range(1, n // 2 + 1)] + [[n]])
return [[n - k, k] for k in range(1, n // 2)] + [[n]]
elif n % 2 == 0 and m == n + 1:
print("rec2 :", [[n - k, k] for k in range(1, n // 2) + 1] + [[n]])
return [[n + 1 - k, k] for k in range(1, n // 2)]
elif n + 1 < m < 2 * n:
if m % 2 == 1:
a = solve(m - n - 1, m)
b = [[m-n+k,n-k] for k in range((2*n-m+1)//2)]
print("rec3 :", a, b)
return a + b
else:
r = solve(m - n - 1, m // 2)
a = [r[0] + [m//2]] + [r[i]+r[i+1] for i in range(1, len(r)//2 + 1, 2)]
b = [[m-n+k,n-k] for k in range((2*n-m+1)//2)]
print("rec4 :", a, b)
return a+b
else:
s = n*(n+1)//2
j = s // m
a = solve(n-2*j,m-(2*n-2*j+1))
b = [[n-2*j+1+k,n-k] for k in range(j)]
print("rec5 :", a, b, j)
return list(x+y for x, y in zip(a, b))
def milk(n, k):
s = n*(n+1)//2
m = s // k
return solve(n, m)
for x in milk(8,3):
print(x, sum(x))
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