Bit Manipulation - Generate All Permutations Using Bitmask DP
The following code attempts to generate all permutations of
n elements using bitmask DP with iterative tabulation. Identify the line containing the subtle bug that causes dp[(1 << n) - 1] to remain empty.def generate_permutations_iterative(n):
dp = [[] for _ in range(1 << n)]
# Missing initialization of dp[0]
for mask in range(1 << n):
for i in range(n):
if not (mask & (1 << i)):
for perm in dp[mask]:
dp[mask | (1 << i)].append(perm + [i])
return dp[(1 << n) - 1]