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You and a friend have received a special gold chain as a gift.
The chain links each have an integer weight, not necessarily the same.
You and your friend must choose one of the links to be removed and provided to charity, after which the chain will be reconnected.
After that, you can choose one place along the chain to split it in two, such that it creates two equally-weighted sections for you and your friend to take home.
For a given input chain (list of link weights), determine if a solution is possible.
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In this Google interview problem, each link of the gold chain has an integer weight. First, you must remove exactly one link as a donation, reconnect the remaining chain, and then cut it once so that the two resulting segments have the same total weight. Given the list of link weights, you need to decide whether there exists some link to donate and some cut position that makes such an equal split possible. The challenge is to reason over all choices efficiently rather than brute forcing every remove-and-cut combination.
