SCORE



S.C.O.R.E. is a points system used in the Fallout 76 seasons system to rank up and unlock rewards.

Background
The rewards can range from cosmetic skins, C.A.M.P. items, and outfits, to in-game consumables and currencies. It can be earned by completing daily and weekly challenges, and is applied instantly to the S.C.O.R.E. counter, through a new UI hud element similar to Experience Points:
 * A maximum of 2,250 S.C.O.R.E. points can be earned per day through daily challenges.
 * 10,000 more available per week through weekly challenges.
 * 100 S.C.O.R.E. is granted every 10,000 XP gained, with no limit as to the amount earned as a repeatable weekly challenge.

Level requirements
The player starts at rank 1 and is required to earn 1,000 S.C.O.R.E. in order to progress to rank 2. From here, the S.C.O.R.E. requirement increases by 25 with each level, until level 99, in which the S.C.O.R.E. required to reach rank 100 is 3,450. Overall, a player must earn a cumulative amount of 220,275 S.C.O.R.E. to reach rank 100. After approximately two weeks after the season started, Atoms can be used to advance much more quickly, but the cost of advancing a rank is a steady 150 Atoms, but this was only during The Legendary Run. Starting with Armor Ace, Atoms can be used at the start of the season to rank up immediately.

Calculations
The number of points to earn in level n in order to progress to the next are:
 * $$\Delta\mathrm{SCORE}_n=25(n-1)+1000\,.$$

Simplified:
 * $$\Delta\mathrm{SCORE}_n=25n+975\,.$$

The S.C.O.R.E. thresholds for level n are thus:
 * $$SCORE_n=12.5n^2+962.5n-975\,.$$

S.C.O.R.E.