-------------- Task A --------------

means(1,4,16)          = (7.000000, 4.000000, 2.285714)
means(2,3,5)           = (3.333333, 3.107233, 2.903226)
means(1000,4000,16000) = (7000.000000, 4000.000000, 2285.714286)
means(4,8,15,16,23,42) = (18.000000, 13.965497, 10.499524)


-------------- Task B --------------

Minimum: 1.000000
Maximum: 1000.000000
Arithmetic: 498.184000
Geometric: 364.411859
Harmonic: 95.685690
Deviation: 287.905085


-------------- Task C --------------

n = 15
For-loop funtion: result = 60 | time = 0.018645 milliseconds
Formula funtion:  result = 60 | time = 0.000038 milliseconds
n = 1001
For-loop funtion: result = 234168 | time = 1.219296 milliseconds
Formula funtion:  result = 234168 | time = 0.000039 milliseconds
n = 1432987
For-loop funtion: result = 479139074204 | time = 1625.893479 milliseconds
Formula funtion:  result = 479139074204 | time = 0.000106 milliseconds


-------------- Task D --------------

Memory allocation
0.75 GByte Memory allocated

Start Benchmarking Normal sum

Sum = 1.6449340468482272

Timing in sec. : 0.36
GFLOPS         : 0.26
GiByte/s       : 2.1

Start Benchmarking Kahan summation

Sum = 1.6449340468482272

Timing in sec. : 0.31
GFLOPS         : 0.3
GiByte/s       : 2.4

Limit = 1.6449340668482264



-------------- Task E --------------

Vector insertion time for n = 100: 26 microseconds.
List insertion time for   n = 100: 45 microseconds.
Vector insertion time for n = 1000: 121 microseconds.
List insertion time for   n = 1000: 4059 microseconds.
Vector insertion time for n = 10000: 5932 microseconds.
List insertion time for   n = 10000: 568042 microseconds.


-------------- Task F --------------

single_goldbach(k = 694) = 19

Decompositions for k = 694: 3 + 691, 11 + 683, 17 + 677, 41 + 653, 47 + 647, 53 + 641, 101 + 593, 107 + 587, 131 + 563, 137 + 557, 173 + 521, 191 + 503, 227 + 467, 233 + 461, 251 + 443, 263 + 431, 293 + 401, 311 + 383, 347 + 347, 

NOTE: For n=2'000'000 it will take ~30 seconds.
count_goldbach(n = 10000): k = 9240, decompositions = 329, time elapsed: 1.055767 milliseconds
count_goldbach(n = 100000): k = 99330, decompositions = 2168, time elapsed: 42.025990 milliseconds
count_goldbach(n = 400000): k = 390390, decompositions = 7094, time elapsed: 530.372813 milliseconds
count_goldbach(n = 1000000): k = 990990, decompositions = 15594, time elapsed: 3973.183267 milliseconds


-------------- Task G --------------

M = 
0.000045 0.000508 0.003346 
0.000508 0.005754 0.037929 
0.003346 0.037929 0.250000 
0.006185 0.070104 0.462071 
0.006648 0.075350 0.496654 

u       = 1 2 3 
M * u   = 0.011099 0.1258 0.8292 1.5326 1.6473 
v       = -1 2 -3 4 -5 
M^T * v = -0.017568 -0.19912 -1.3125 

Results for 3000x3000 matrix vector multiplication doing 100 loops
Time for initialization: 0.392896 seconds.
Time for Mult          : 0.996829 seconds, 0.009968 per loop.
Time for MultT         : 6.502881 seconds, 0.065029 per loop.

Results for 3000x3000 matrix vector multiplication doing 100 loops taking advantage of tensor product structure of the matrix
Time for initialization: 0.000088 seconds.
Time for Mult          : 0.000164 seconds, 0.000002 per loop.
Time for MultT         : 0.000197 seconds, 0.000002 per loop.