Opt: 01, 17

This commit is contained in:
PedroEdiaz
2025-10-31 15:57:08 -06:00
parent 0b4bd32e3e
commit 62bdc3c593
2 changed files with 27 additions and 22 deletions

View File

@@ -12,8 +12,8 @@ except Exception as e:
res1, res2 = 0, 0
for i in range(len(input)):
match input[i]:
for c in input:
match c
case '(':
res1 += 1
case ')':

View File

@@ -7,36 +7,41 @@ except Exception as e:
print(f"An error occurred: {e}")
# Reverse sort input
input= [ int(x) for x in input.split()]
l = len(input)
res1, res2, min_popcount = 0, 0, l
for i in range(1<<l):
"""
Let:
f: i -> [input[j] for j in range(len(X)) if i & 1<<j ]
f: i -> X[j] for j in range(len(X)) if i & 1<<j ]
Then:
f is bijection between range(2**len(X)) and the subsets of X.
f is bijection between range(2**len(X)) and the P(X).
Futhermore:
popcount(i) == len(f(i))
"""
def powerset(X):
return [[ X[j] for j in range(len(X)) if i & 1<<j ] for i in range(1<<len(X))]
if sum([input[j] for j in range(l) if i & 1<<j ]) != 150:
input= [ int(x) for x in input.split()]
res1, res2, min_l = 0, 0, len(input)
for s in powerset(input):
if sum(s) != 150:
continue
res1 += 1
popcount = i.bit_count()
if popcount < min_popcount:
min_popcount = popcount
l = len(s)
if l < min_l:
min_l = l
res2 = 0;
if popcount == min_popcount:
if l == min_l:
res2 += 1;
print(res1, res2)
# One Liner
print( sum([ sum( [input[j] for j in range(l) if i & 1<<j ]) == 150 for i in range(1<<l)] ))
#print( sum([ sum( [input[j] for j in range(len(input)) if i & 1<<j ]) == 150 for i in range(1<<len(input))] ))