new diff algo

gistfile1.txt

def f(diff, n):
    """
    This function returns the new difficulty.
    """
    period_count = (n + 1) // 100000
    return  max(diff + 2**(period_count - 1), 5000)
​
diff =  6232935860523 # starting diffculty
blocknumber = 200000 # starting blocknumber
numberOfBlocks2years = 2*365*24*60*60/15
for x in range(0, numberOfBlocks2years):
    blocknumber = blocknumber + 1
    diff = f(diff, blocknumber)
    if (blocknumber % (numberOfBlocks2years/24)) == 0:
        blocktime = 1.0 * diff / 400000000000 #hashrate
        print "Diff after ",str((blocknumber-200000.0) / (numberOfBlocks2years/24)), " month is: ", str(diff), "and avg block time is: ", str(blocktime)

Diff after  0.858447488584475  month is:  6232936262127 and avg block time is:  15.5823406553175
Diff after  1.85844748858447  month is:  6232937670151 and avg block time is:  15.5823441753775
Diff after  2.85844748858448  month is:  6232942111847 and avg block time is:  15.5823552796175
Diff after  3.85844748858448  month is:  6232958188775 and avg block time is:  15.5823954719375
Diff after  4.85844748858448  month is:  6233013075943 and avg block time is:  15.5825326898575
Diff after  5.85844748858448  month is:  6233194531815 and avg block time is:  15.5829863295375
Diff after  6.85844748858448  month is:  6233767984103 and avg block time is:  15.5844199602575
Diff after  7.85844748858448  month is:  6235832384487 and avg block time is:  15.5895809612175
Diff after  8.85844748858447  month is:  6242897263591 and avg block time is:  15.6072431589775
Diff after  9.85844748858447  month is:  6266280901607 and avg block time is:  15.6657022540175
Diff after  10.8584474885845  month is:  6340311940071 and avg block time is:  15.8507798501775
Diff after  11.8584474885845  month is:  6605394050023 and avg block time is:  16.5134851250575
Diff after  12.8584474885845  month is:  7514731740135 and avg block time is:  18.7868293503375
Diff after  13.8584474885845  month is:  10527970065383 and avg block time is:  26.3199251634575
Diff after  14.8584474885845  month is:  20084473625575 and avg block time is:  50.2111840639375
Diff after  15.8584474885845  month is:  54122357881831 and avg block time is:  135.305894704577
Diff after  16.8584474885845  month is:  171161827310567 and avg block time is:  427.904568276417
Diff after  17.8584474885845  month is:  559433313319911 and avg block time is:  1398.58328329978
Diff after  18.8584474885845  month is:  1792973690534887 and avg block time is:  4482.43422633722
Diff after  19.8584474885845  month is:  6163566770682855 and avg block time is:  15408.9169267071
Diff after  20.8584474885845  month is:  21227082229644263 and avg block time is:  53067.7055741107
Diff after  21.8584474885845  month is:  71255685927173095 and avg block time is:  178139.214817933
Diff after  22.8584474885845  month is:  230468268164021223 and avg block time is:  576170.670410053
Diff after  23.8584474885845  month is:  791663401027402727 and avg block time is:  1.97915850256851e6