16. There is a fractional sequence of 1/2, 2/3, 3/5, 5/8, 8/13 ,... Calculate the sum of the first 200 items of the sequence.

Source: Internet
Author: User
Vector used: # include <iostream>
# Include <vector>
Using namespace STD;
Int fenshu (INT );

Int main ()
{
Double sum = 0, sum1 = 0;
For (INT I = 2; I <= 200; I ++)
{
Sum1 + = fenshu (I );
}
Sum = sum1 + 0.5;
Cout <sum <Endl;
Return 0;
}

Int fenshu (INT index)
{
Double temp;
Vector <int> A (2, 1 );
A. Reserve (3 );
A. At (0) = 1;
A. at (1) = 2;
For (INT I = 2; I <= index; I ++)
{
A. insert (A. Begin (), A. At (0) + A. at (1); // The Problem of Sb is caused by parentheses after begin.
A. pop_back ();
Temp = (A. at (1)/(A. At (0 )));
}
Return temp;
}

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