I have found new formula of finding maximal score of beatmap (but on CTB only because of sliders) but it is not very accurate (spinners) but it is very useful.
Step 1. Main formula
At school you have learnt arifmetical progrecy. We will use here a formula of total score:
S=((4a1+k(n-2))/2)*(n-1), where:
a1 - first combo, a1=300, a2=600, despite the k
k - factor of difficulty, k=(a1+a2+a3)-900
n - maximum combo
I'll bring, for example, beatmap Hatsune Miku & Megpoid Gumi - MATRYOSHKA [Insane]
Maximum combo 820
k = 960-900=60
According to formula:
S=((1200+60*818)/2)*819=(50 280/2)*819=20 589 660
Step 2. Big droplets
We are lucky, this beatmap has only 2 big droplets (not fruits but if you miss them your combo will 0 again).
Now we find their location (combo)
So, 1st is in 344 combo and 2nd is in 610 combo.
And how much points would they bring? It is easy according to this formula:
a(n)=2a1+k(n-1)
a(344)=600+60x343-60=540+20580=21120pts
a(610)=600+60x609-60=540+36540=37080pts
Step 3. Small droplets
It's much easier to count the score which small droplets bring.
There are 390 droplets here. They bring 390*10=3900 points
Step 4. Almost final.
And now, let's count the points!
20 289 660 - (21 120+37 080) + (100*2) + 3900 = 20 235 560
Step 5. Spinners
If the map has a lot of spinners, add 370 500 (this map) to total score.
N O T I F I C A T O N: that points should divide on 1100
TOTAL SCORE: 20 606 460 POINTS
Close enough.
If the difference between counted and auto scores divides 1100, we counted correctly
Step 1. Main formula
At school you have learnt arifmetical progrecy. We will use here a formula of total score:
S=((4a1+k(n-2))/2)*(n-1), where:
a1 - first combo, a1=300, a2=600, despite the k
k - factor of difficulty, k=(a1+a2+a3)-900
n - maximum combo
I'll bring, for example, beatmap Hatsune Miku & Megpoid Gumi - MATRYOSHKA [Insane]
Maximum combo 820
k = 960-900=60
According to formula:
S=((1200+60*818)/2)*819=(50 280/2)*819=20 589 660
Step 2. Big droplets
We are lucky, this beatmap has only 2 big droplets (not fruits but if you miss them your combo will 0 again).
Now we find their location (combo)
So, 1st is in 344 combo and 2nd is in 610 combo.
And how much points would they bring? It is easy according to this formula:
a(n)=2a1+k(n-1)
a(344)=600+60x343-60=540+20580=21120pts
a(610)=600+60x609-60=540+36540=37080pts
Step 3. Small droplets
It's much easier to count the score which small droplets bring.
There are 390 droplets here. They bring 390*10=3900 points
Step 4. Almost final.
And now, let's count the points!
20 289 660 - (21 120+37 080) + (100*2) + 3900 = 20 235 560
Step 5. Spinners
If the map has a lot of spinners, add 370 500 (this map) to total score.
N O T I F I C A T O N: that points should divide on 1100
TOTAL SCORE: 20 606 460 POINTS
Close enough.
If the difference between counted and auto scores divides 1100, we counted correctly