def inf_apy():
    auction_adjust = 0.3 / 60
    auction_max = 60
    falloff = 0.05
    max_inflation = 0.1
    min_inflation = 0.025
    stake_target = 0.7504

    total_staked = 6_915_481_381_481_673_659
    total_issuance = 12_723_233_806_674_928_899

    num_auctions = 52

    if total_staked == 0 or total_issuance == 0:
        staked_fraction = 0
    else:
        staked_fraction = total_staked / total_issuance


    ideal_stake = stake_target - min(auction_max, num_auctions) * auction_adjust

    print(f'sf = {staked_fraction}_ is = {ideal_stake}')

    ideal_interest = max_inflation / ideal_stake
    if staked_fraction <= ideal_stake:
        inflation = min_inflation + staked_fraction * (ideal_interest - min_inflation / ideal_stake)
    else:
        power_of_two = 2 ** ((ideal_stake - staked_fraction) / falloff)
        inflation = min_inflation + (ideal_interest * ideal_stake - min_inflation) * power_of_two
        print(f'pow2 = {power_of_two}_ inf = {inflation}')

    return inflation, staked_fraction, inflation / staked_fraction, ideal_stake


print(inf_apy())