In the following alphametic equation, each of the capital letters denotes a different base ten digit from 0 to 9. None of the numbers can contain any leading zero.

CARRIE + FISHER + 1956 + PP = PPPPPP

Determine the number represented by "SHAPER".

Note: While a solution is trivial with the aid of a computer program, show how to derive it without one.

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In the following alphametic equation, each of the capital letters denotes a different base ten digit from 0 to 9. None of the numbers can contain any leading zero.

CARRIE + FISHER + 1956 + PP = PPPPPP

Determine the number represented by "SHAPER".

Note: While a solution is trivial with the aid of a computer program, show how to derive it without one.

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