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There is the following data for a simple game:

  • 3 players
  • General points pool - 30000
  • Each player has a force. Initial force value - 100
  • During the game force indicator is changing. Min value of force - 1, max value - 299
  • With minimal force - 1, player gets the minimum points amount - 5000 per round. The rest of the points pool is evenly dividing between other players.

We certainly know the result in 2 cases: 1) If the force is 1, player gets 5000 points 2) If the force is 100 (initial value) - player gets 10000 points.

Total pool of points is always 30000

Help to find a formula to dynamically calculate the distribution of points for different values of force.

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