Win the Vault, Dodge the Mob

A vault holds 101 101 gold ingots. Two rival captains, Aria and Bram, alternate turns with Aria first; on each turn a captain removes between 1 1 and 5 5 ingots and keeps them. When the vault empties, whoever holds more ingots wins command of the fleet — but the crew mutinies against any winner who finishes more than five ingots ahead of the loser. Does either captain have a strategy that guarantees winning command without triggering the mutiny?

Answer

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