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Problem #345

Team Up

There are 50000 teams each containing 30 players with experience points 1,2....30 and there are 1500 teams containing 30 players each with 0 experience points. One mega team has to be formed from these players. The mega team can have any number of players.

Suppose the mega team have n players and the experience point of i^{th} player is a_i. Then the score of the mega team is defined as \sum_{i=0}^{n} 2^{a_i}.

Find the distinct number of mega teams with score 474288\ mod\ 1000000007.

Two Mega teams are considered different, if there is a particular player present in one team and not in another team.

Contributed by Pranjal Gautam

Solved by 2 users

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