Poj 3734 Blocks

Poj_3734

This topic is 《ProgramAn example in the Integrated Mathematics in design. For an even number, this item can be written as (exp (x) + exp (-x)/2, if there is no requirement, you can write it as exp (x). By multiplying the four items, you can generate the function g (x) = (exp (4 * x) + 2 * exp (2 * X) + 1)/4, so x ^ N/(n !) The coefficient is (4 ^ n + 2*2 ^ N)/4, that is (2 ^ (n-1) + 1) * 2 ^ (n-1 ), then, use the Fast Power modulo to obtain the result.

# Include <stdio. h>
# Include < String . H>
 # Define D 10007
 Int Pow_mod ( Int N)
{
 Int Ans;
If (N = 1 )
 Return   2 ;
Ans = pow_mod (N/ 2 );
Ans = ans * ans % d;
 If (N & 1 )
Ans = ans * 2 % D;
 Return Ans;
}
 Void Solve ()
{
 Int I, j, k, n, ans;
Scanf ( "  % D  " , & N );
Ans = 1 ;
-- N;
 If (N)
Ans = pow_mod (N );
Ans = (ANS + 1 ) * Ans % d;
Printf ( "  % D \ n  " , ANS );
}
 Int Main ()
{
 Int T;
Scanf ( "  % D  " , & T );
 While (T --)
{
Solve ();
}
 Return   0 ;
}