Hard · Graphs

Subset Component

Given an array d of n non-negative 64-bit integers, consider, for each of its 2ⁿ subsets, the graph on the 64 bit positions in which every chosen number connects all of its own set bits; return the sum of the connected-component counts of all these graphs.

Examples

Example 1

d = [2, 5, 9]

Output: sum = 504

Example 2

d = [3, 6, 5, 0]

Output: sum = 1002

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