Thursday 22 September 2016

High Level Great Buildings and The Arc

You may have noticed how The Arc has taken over a large portion of the top of the Great Building rankings and when you look at it at first glance there's really no doubt that it is indeed worthy of the title Great, but the obvious questions comes up: how far should I take my Arc before I focus on my other objectives? Below i have a chart of the non-refunded FP cost of completing one level of Arc at various tiers when the donors all have Arcs of their own:

DonorLevelling Arc
101929394958688090
0790802865101012651618218932004404
107266666406928501111157724563547
19708626575600729964139922403298
29688582503498595801120220003022
39667538430395461637100417602745
4964749435829332747480715202469
5862845429220020632662913042220
6861843225614913924553011842081
80606406213885914741210401916
90603402205774613039210161888

Of particular note here is first off the diagonal bold line of entries.  This represents the true levelling cost (with refunded forge points subtracted) of an arc via fair deals with similarly levelled arcs.  Notice by level 58 how it's less than a quarter of the no arc cost.  At level 58 two things happen that cause it to start tailing off.  First is the arc drops to only 0.5% contribution boost per level.  Second is that while the FP cost of next level is a slow exponential growth of 2.5% per level, the refunded FP increases linearly from level to level and past level 50 the exponential growth becomes faster than the FP growth.

Also of note is the line across for high level donors - this curve holding for nearly all buildings they donate to.  With such a small 'true cost' compared to the total cost, and since the majority of refunded FP are held by the top two spots, it doesn't take much wasted FP for a high level arc to hijack a level 29-58 building.  It takes even less for two coordinated FP donors with high level arcs to do so - they may even do so without a single point having been donated yet!  They may do this for profit or they may do it to seize your building from going further as the remaining 3 spots won't offer much incentive for donors to contribute.  As such, it can be important to have your swap partner lock first place immediately after levelling the building!  Save your packs :)

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