Ranked-Points System #
The points you earn from your time on a map is the sum of the points awarded from each of these 3 systems described below: WR/top10 points + formula points + group points.
The systems described here are complete; we are in agreement that this is what the Ranked-Points should look like. The values chosen for percentiles, WR points, etc. are still up for debate; however, these should be simple to change later, should we decide to change them, because of the design of the system. For now, we consider the values to be informed-guess placeholders.
There are no ‘base completion points’; the formula system somewhat accounts for this, but we’ve determined that it is not worth having a system of its own
Aside – Motivation;
Times ranked beyond the top10 are awarded points according to 2 systems: the Group system, and a Formula system. The group system rewards discrete bundles of points for players ranking within certain ‘percentile’ blocks. The formula system awards points simply according to a formula with a single parameter – the player’s rank. The group system should award more points than the formula system; it should be the primary goal of the player to improve to the next group. The formula system simply provides bonus ranked points for improving within a group, so the player does not feel like intermediate improvements are a waste of effort.
WRs and Top10s system #
WRs award a fixed number of points for all maps. For now, we set this to be 3,000 points. Ranks 2-10 award some percentage of the WR points.
Rank 1 = 3000 points = 100% of WR
Rank 2 = 2250 points = 75% of WR
Rank 3 = 2040 points = 68% of WR
Rank 4 = 1830 points = 61% of WR
Rank 5 = 1710 points = 57% of WR
Rank 6 = 1590 points = 53% of WR
Rank 7 = 1515 points = 50.5% of WR
Rank 8 = 1440 points = 48% of WR
Rank 9 = 1365 points = 45.5% of WR
Rank 10 = 1290 points = 43% of WR
Formula system #
Points awarded is some equation of the form A / (rank + B), where A is a scaling constant, and B is a smoothing constant.
We choose A = 50000, B = 49.
In this case the graph shows our equation Points = 50000 / (rank + 49)
X axis designates player rank on a map,
y axis designates points awarded
Ex:
Player sets a time of rank 468 on a map with 1333 completions.
Formula points awarded = 50000 / (468 + 49) = 96.7 => 97 points. (Note that the # of completions on the map did not affect the points awarded!)
(New) Group System #
(based on @Joe’s & Jux’s comments about minimum group sizes)
(plus lots of help from Jux and Aux)
4 groups, loosely ‘percentile’-based (in fact, a function of #completions, but not as simple as a percentage). Instead of calculating group boundaries directly from percentiles, we calculate group sizes based on a simple maximizing function –
Group size = max(A(x), minSize)
max(A, B) simply returns the value of the larger parameter. A is a function of #completions, minSize
Group 1 always starts at rank 11, and its size is determined from its group size formula.
The formula to determine group size, A(x) (where x is the # of completions of the map), is
_A(x) = SF * (x^E), where SF and E are defined uniquely for each group:
SF = Scale factor, E = Exponent
Group 1: E = 0.5, SF = 1
Group 2: E = 0.56, SF = 1.5
Group 3: E = 0.62, SF = 2
Group 4: E = 0.68, SF = 2.5
minSize is another parameter which varies per group:
Group 1: minSize = 10
Group 2: minSize = 45
Group 3: minSize = 125
Group 4: minSize = 250
Ex. On a map with 400 completions:
Group 1 size = max(1 * 400^0.5, 10) = max(20, 10) = 20
Group 2 size = max(1.5 * 400^0.56, 45) = max(42.98, 45) = 45
Group 3 size = max(2 * 400^0.62, 125) = max(82, 125) = 125
Group 4 size = max(2.5 * 400^0.68, 250) = max(147, 250) = 250
Therefore:
Group 1 = ranks 11-30 (begins from rank 11, contains 20 spots)
Group 2 = ranks 31-75 (begins from rank 31 = end of G1, contains 45 spots)
Group 3 = ranks 76-200 (begins from rank 76 = end of G2, contains 125 spots)
Group 4 = ranks 201-450 -- note this exceeds #completions (400)! So it extends all the way to rank 400, and anyone who completes the map is automatically in at least group 4.
Group Points:
(going by WR points = 3000) (no particular pattern; eyeballed). Keep in mind that you also get points from the formula!
Group 4 = 90 points = 3% of WR
Group 3 = 210 points = 7% of WR
Group 2 = 390 points = 13% of WR
Group 1 = 600 points = 20% of WR
Cosmetic XP #
For more advanced info about cosmetics
Make a copy of The spreadsheet
0 - 50 #
| Level | Exp in level | Total exp |
|---|---|---|
| 001 | 21,000 | 21,000 |
| 002 | 22,000 | 43,000 |
| 003 | 23,000 | 66,000 |
| 004 | 24,000 | 90,000 |
| 005 | 25,000 | 115,000 |
| 006 | 26,000 | 141,000 |
| 007 | 27,000 | 168,000 |
| 008 | 28,000 | 196,000 |
| 009 | 29,000 | 225,000 |
| 010 | 30,000 | 255,000 |
| 011 | 42,000 | 297,000 |
| 012 | 44,000 | 341,000 |
| 013 | 46,000 | 387,000 |
| 014 | 48,000 | 435,000 |
| 015 | 50,000 | 485,000 |
| 016 | 52,000 | 537,000 |
| 017 | 54,000 | 591,000 |
| 018 | 56,000 | 647,000 |
| 019 | 58,000 | 705,000 |
| 020 | 60,000 | 765,000 |
| 021 | 83,000 | 848,000 |
| 022 | 86,000 | 934,000 |
| 023 | 89,000 | 1,023,000 |
| 024 | 92,000 | 1,115,000 |
| 025 | 95,000 | 1,210,000 |
| 026 | 98,000 | 1,308,000 |
| 027 | 101,000 | 1,409,000 |
| 028 | 104,000 | 1,513,000 |
| 029 | 107,000 | 1,620,000 |
| 030 | 110,000 | 1,730,000 |
| 031 | 144,000 | 1,874,000 |
| 032 | 148,000 | 2,022,000 |
| 033 | 152,000 | 2,174,000 |
| 034 | 156,000 | 2,330,000 |
| 035 | 160,000 | 2,490,000 |
| 036 | 164,000 | 2,654,000 |
| 037 | 168,000 | 2,822,000 |
| 038 | 172,000 | 2,994,000 |
| 039 | 176,000 | 3,170,000 |
| 040 | 180,000 | 3,350,000 |
| 041 | 225,000 | 3,575,000 |
| 042 | 230,000 | 3,805,000 |
| 043 | 235,000 | 4,040,000 |
| 044 | 240,000 | 4,280,000 |
| 045 | 245,000 | 4,525,000 |
| 046 | 250,000 | 4,775,000 |
| 047 | 255,000 | 5,030,000 |
| 048 | 260,000 | 5,290,000 |
| 049 | 265,000 | 5,555,000 |
| 050 | 270,000 | 5,825,000 |
50 - 100 #
| Per-level increase | 750,000 | 277.78% | | Total exp difference | 31,180,000 | 635.28% |
Type Amount Percentage
| Level | Exp in level | Total exp |
|---|---|---|
| 051 | 326,000 | 6,151,000 |
| 052 | 332,000 | 6,483,000 |
| 053 | 338,000 | 6,821,000 |
| 054 | 344,000 | 7,165,000 |
| 055 | 350,000 | 7,515,000 |
| 056 | 356,000 | 7,871,000 |
| 057 | 362,000 | 8,233,000 |
| 058 | 368,000 | 8,601,000 |
| 059 | 374,000 | 8,975,000 |
| 060 | 380,000 | 9,355,000 |
| 061 | 447,000 | 9,802,000 |
| 062 | 454,000 | 10,256,000 |
| 063 | 461,000 | 10,717,000 |
| 064 | 468,000 | 11,185,000 |
| 065 | 475,000 | 11,660,000 |
| 066 | 482,000 | 12,142,000 |
| 067 | 489,000 | 12,631,000 |
| 068 | 496,000 | 13,127,000 |
| 069 | 503,000 | 13,630,000 |
| 070 | 510,000 | 14,140,000 |
| 071 | 588,000 | 14,728,000 |
| 072 | 596,000 | 15,324,000 |
| 073 | 604,000 | 15,928,000 |
| 074 | 612,000 | 16,540,000 |
| 075 | 620,000 | 17,160,000 |
| 076 | 628,000 | 17,788,000 |
| 077 | 636,000 | 18,424,000 |
| 078 | 644,000 | 19,068,000 |
| 079 | 652,000 | 19,720,000 |
| 080 | 660,000 | 20,380,000 |
| 081 | 749,000 | 21,129,000 |
| 082 | 758,000 | 21,887,000 |
| 083 | 767,000 | 22,654,000 |
| 084 | 776,000 | 23,430,000 |
| 085 | 785,000 | 24,215,000 |
| 086 | 794,000 | 25,009,000 |
| 087 | 803,000 | 25,812,000 |
| 088 | 812,000 | 26,624,000 |
| 089 | 821,000 | 27,445,000 |
| 090 | 830,000 | 28,275,000 |
| 091 | 930,000 | 29,205,000 |
| 092 | 940,000 | 30,145,000 |
| 093 | 950,000 | 31,095,000 |
| 094 | 960,000 | 32,055,000 |
| 095 | 970,000 | 33,025,000 |
| 096 | 980,000 | 34,005,000 |
| 097 | 990,000 | 34,995,000 |
| 098 | 1,000,000 | 35,995,000 |
| 099 | 1,010,000 | 37,005,000 |
| 100 | 1,020,000 | 38,025,000 |
100 - 150 #
| Per-level increase | 1,000,000 | 98.04% | | Total exp difference | 86,480,000 | 327.43% |
Type Amount Percentage
| Level | Exp in level | Total exp |
|---|---|---|
| 101 | 1,520,000 | 39,545,000 |
| 102 | 1,520,000 | 41,065,000 |
| 103 | 1,520,000 | 42,585,000 |
| 104 | 1,520,000 | 44,105,000 |
| 105 | 1,520,000 | 45,625,000 |
| 106 | 1,520,000 | 47,145,000 |
| 107 | 1,520,000 | 48,665,000 |
| 108 | 1,520,000 | 50,185,000 |
| 109 | 1,520,000 | 51,705,000 |
| 110 | 1,520,000 | 53,225,000 |
| 111 | 1,520,000 | 54,745,000 |
| 112 | 1,520,000 | 56,265,000 |
| 113 | 1,520,000 | 57,785,000 |
| 114 | 1,520,000 | 59,305,000 |
| 115 | 1,520,000 | 60,825,000 |
| 116 | 1,520,000 | 62,345,000 |
| 117 | 1,520,000 | 63,865,000 |
| 118 | 1,520,000 | 65,385,000 |
| 119 | 1,520,000 | 66,905,000 |
| 120 | 1,520,000 | 68,425,000 |
| 121 | 1,520,000 | 69,945,000 |
| 122 | 1,520,000 | 71,465,000 |
| 123 | 1,520,000 | 72,985,000 |
| 124 | 1,520,000 | 74,505,000 |
| 125 | 1,520,000 | 76,025,000 |
| 126 | 2,020,000 | 78,045,000 |
| 127 | 2,020,000 | 80,065,000 |
| 128 | 2,020,000 | 82,085,000 |
| 129 | 2,020,000 | 84,105,000 |
| 130 | 2,020,000 | 86,125,000 |
| 131 | 2,020,000 | 88,145,000 |
| 132 | 2,020,000 | 90,165,000 |
| 133 | 2,020,000 | 92,185,000 |
| 134 | 2,020,000 | 94,205,000 |
| 135 | 2,020,000 | 96,225,000 |
| 136 | 2,020,000 | 98,245,000 |
| 137 | 2,020,000 | 100,265,000 |
| 138 | 2,020,000 | 102,285,000 |
| 139 | 2,020,000 | 104,305,000 |
| 140 | 2,020,000 | 106,325,000 |
| 141 | 2,020,000 | 108,345,000 |
| 142 | 2,020,000 | 110,365,000 |
| 143 | 2,020,000 | 112,385,000 |
| 144 | 2,020,000 | 114,405,000 |
| 145 | 2,020,000 | 116,425,000 |
| 146 | 2,020,000 | 118,445,000 |
| 147 | 2,020,000 | 120,465,000 |
| 148 | 2,020,000 | 122,485,000 |
| 149 | 2,020,000 | 124,505,000 |
| 150 | 2,020,000 | 126,525,000 |
150 - 200 #
| Per-level increase | 1,000,000 | 49.50% | | Total exp difference | 135,480,000 | 207.08% |
Type Amount Percentage
| Level | Exp in level | Total exp |
|---|---|---|
| 151 | 2,520,000 | 129,045,000 |
| 152 | 2,520,000 | 131,565,000 |
| 153 | 2,520,000 | 134,085,000 |
| 154 | 2,520,000 | 136,605,000 |
| 155 | 2,520,000 | 139,125,000 |
| 156 | 2,520,000 | 141,645,000 |
| 157 | 2,520,000 | 144,165,000 |
| 158 | 2,520,000 | 146,685,000 |
| 159 | 2,520,000 | 149,205,000 |
| 160 | 2,520,000 | 151,725,000 |
| 161 | 2,520,000 | 154,245,000 |
| 162 | 2,520,000 | 156,765,000 |
| 163 | 2,520,000 | 159,285,000 |
| 164 | 2,520,000 | 161,805,000 |
| 165 | 2,520,000 | 164,325,000 |
| 166 | 2,520,000 | 166,845,000 |
| 167 | 2,520,000 | 169,365,000 |
| 168 | 2,520,000 | 171,885,000 |
| 169 | 2,520,000 | 174,405,000 |
| 170 | 2,520,000 | 176,925,000 |
| 171 | 2,520,000 | 179,445,000 |
| 172 | 2,520,000 | 181,965,000 |
| 173 | 2,520,000 | 184,485,000 |
| 174 | 2,520,000 | 187,005,000 |
| 175 | 2,520,000 | 189,525,000 |
| 176 | 3,020,000 | 192,545,000 |
| 177 | 3,020,000 | 195,565,000 |
| 178 | 3,020,000 | 198,585,000 |
| 179 | 3,020,000 | 201,605,000 |
| 180 | 3,020,000 | 204,625,000 |
| 181 | 3,020,000 | 207,645,000 |
| 182 | 3,020,000 | 210,665,000 |
| 183 | 3,020,000 | 213,685,000 |
| 184 | 3,020,000 | 216,705,000 |
| 185 | 3,020,000 | 219,725,000 |
| 186 | 3,020,000 | 222,745,000 |
| 187 | 3,020,000 | 225,765,000 |
| 188 | 3,020,000 | 228,785,000 |
| 189 | 3,020,000 | 231,805,000 |
| 190 | 3,020,000 | 234,825,000 |
| 191 | 3,020,000 | 237,845,000 |
| 192 | 3,020,000 | 240,865,000 |
| 193 | 3,020,000 | 243,885,000 |
| 194 | 3,020,000 | 246,905,000 |
| 195 | 3,020,000 | 249,925,000 |
| 196 | 3,020,000 | 252,945,000 |
| 197 | 3,020,000 | 255,965,000 |
| 198 | 3,020,000 | 258,985,000 |
| 199 | 3,020,000 | 262,005,000 |
| 200 | 3,020,000 | 265,025,000 |