================= Optimization Function B ===========================
--------------------- DESCRIPTION ----------------------
This program tracks the number of execuation of certain function
and counts the times it been execuated so it can be minimized or
maximized later.

Function:  N-2 SIGMA i=1 {sin(xi * xi+1 + cos(xi-1 - xi))}

N: defined as a global variable
--------------------------------------------------------
---------------- INPUT / OUTPUT ------------------------
---------------------   INPUT   ------------------------
Reads from standrad in as follows:
i1 i2 i3 vectorfileformat
i1 i2 i3 vectorfileformat
i1 i2 i3 vectorfileformat
...
...
...
--------------------   OUTPUT   ------------------------

============= input: (0, 0, 0 vectorFileFormat) =====================
f(x0, x1, x2, x3 ) =
#.#
Duration of f = #.# seconds

Df(x0, x1, x2, x3 ) =
vectorFileFormat
Duration of Df = #.# seconds

DDf(x0, x1, x2, x3 ) =
matrixFileFormat
Duration of DDf = #.# seconds
============= input: (1, 1, 1 vectorFileFormat) =====================
f counter = #

Df counter = #

DDf counter = #
==================================
.
.
.
.
.
==================================

++++++++++++++++++++++++++++++++++++++++++
++++++++++++++ EXAMPLE INPUT  ++++++++++++
0 0 0
3
1.2 
3.4
4.5
1 1 1
3
5.2434
1.452345
6.23452
0 0 1
3
5.2434
6.23452
9.2435
0 1 0
3
1.452345
6.23452
9.2435
1 0 0
3
5.2434
1.452345
6.23452
1 1 1
3
5.2434
6.23452
9.2435
++++++++++++++ EXAMPLE OUTPUT ++++++++++++

=================================
f(1.2     , 3.4     , 4.5     ) = 
0.839555
Duration of f = 2.86102e-06 seconds

Df(1.2     , 3.4     , 4.5     ) = 
3
-0.439235
-2.0055
-1.84713
Duration of Df = 9.53674e-07 seconds

DDf(1.2     , 3.4     , 4.5     ) = 
3	3
-0.868507
-2.18599
-2.30784
-2.18599
-11.7605
-11.0806
-2.30784
-11.0806
-9.70526
Duration of DDf = 3.8147e-06 seconds
=================================

=================================
f counter = 1

Df counter = 1

DDf counter = 1
=================================

=================================
f(5.2434  , 6.23452 , 9.2435  ) = 
0.998372
Duration of f = 9.53674e-07 seconds

Df(5.2434  , 6.23452 , 9.2435  ) = 
3
-0.0477236
-0.479543
-0.355629
Duration of Df = 1.90735e-06 seconds

DDf counter = 1
=================================

=================================
f(1.45235 , 6.23452 , 9.2435  ) = 
0.912701
Duration of f = 0 seconds

Df counter = 2

DDf(1.45235 , 6.23452 , 9.2435  ) = 
3	3
-0.936756
9.35277
5.6764
9.35277
-95.752
-57.8656
5.6764
-57.8656
-35.476
Duration of DDf = 3.09944e-06 seconds
=================================

=================================
f counter = 3

Df(5.2434  , 1.45235 , 6.23452 ) = 
3
-0.237888
-2.21452
-0.571294
Duration of Df = 1.19209e-06 seconds

DDf(5.2434  , 1.45235 , 6.23452 ) = 
3	3
-0.649524
-2.8169
-0.807512
-2.8169
-29.4524
-7.91058
-0.807512
-7.91058
-1.93926
Duration of DDf = 2.86102e-06 seconds
=================================

=================================
f counter = 3

Df counter = 3

DDf counter = 3
=================================
++++++++++++++++++++++++++++++++++++++++++
=====================================================================