47 lines
1.4 KiB
Python
47 lines
1.4 KiB
Python
#!/usr/bin/env python3
|
|
|
|
def test(n, setsums):
|
|
newsums = [s+n for s in setsums] + setsums + [n]
|
|
if len(newsums) != len(set(newsums)):
|
|
return False
|
|
return newsums
|
|
|
|
def search(left, right, length, best, setsums, lor, w): #left to right
|
|
if len(left + right) >= length:
|
|
if sum(left + right) < best:
|
|
#print left+right, sum(left+right)
|
|
for i, n in enumerate(left+right):
|
|
w[i] = n
|
|
return sum(left + right)
|
|
return best
|
|
hole = length - len(left + right) - 1
|
|
minsum = sum(left + right) + (hole*(hole+1))//2 + left[-1]*hole
|
|
if lor:
|
|
n = max(left[-1]+1, sum(right)-sum(left) + 1)
|
|
bound = right[0] - hole
|
|
else:
|
|
n = left[-1] + hole + 1
|
|
bound = best - minsum
|
|
if len(right) > 0 and right[0] < bound:
|
|
bound = right[0]
|
|
while n < bound and n < best - minsum - (n-left[-1])*hole*lor:
|
|
newsums = test(n, setsums)
|
|
if newsums:
|
|
best = search(left + [n]*lor,
|
|
[n]*(not lor) + right,
|
|
length, best, newsums, not lor, w)
|
|
n += 1
|
|
return best
|
|
|
|
def base(length, best):
|
|
x = length//2 + length % 2
|
|
n = (x + 1 - length%2) * (x-1) + 1
|
|
n = 20
|
|
w = [0]*length
|
|
while n < best - (length-1)*length - n*(length-1):
|
|
best = search([n], [], length, best, [n], False, w)
|
|
n += 1
|
|
return "".join(map(str, w)), best
|
|
|
|
print(base(7, 500)[0])
|