Common secret
90 points Hard

Here is the list of employees. https://mega.nz/#!PSBVFYwI!KxAhazVh9X-BP9SEfRRKb8yYHonPDJDU1FtQxO8OvMM Their task is to keep a vault safe. No one knows the key to open the vault, but each one of them has a secret key. In order to open the vault, any 3 of them have to meet and put their keys together. By doing so, they will get the key to open the vault. Given the secret key of each employee, can you figure out the key to open the vault? https://en.wikipedia.org/wiki/Lagrange_polynomial

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