How was your day? - League of Legends edition

Code:
[U]Anivia, level 6[/U]

MP5: 7 + 0.6/lvl = 10.6

Mana pool: 257 + 53/lvl = 575



[U]Items[/U]

2x Doran's Rings:

  MP5: 2 x 5 = 10

  Cost: 475 gold

Chalice of Harmony:

  MP5: 7.5 + 1% total MP5 per missing 1% of mana

  Cost: 890 gold

Boots:

  Cost: 350 gold



[U]Total stats:[/U]

  MP5: 28.1 to 56.2

  AP: 30 + runes + masteries

  Cost: 2190 gold



[U]Glacial Storm, level 1[/U]

Costs:

  75 mana on activate

  40 mana per second = 200 MP5

Tic duration: 0.5 seconds

Damage: 80 magic damage + 0.25/AP per second

  Assume damage = 92.5 magic damage per second



[U]Melee Minions[/U]

HP: 445 + 20/3 minutes (including the 90 seconds of time before minions spawn)

  Assume HP = 505

MR: 0 + 1.25/3 minutes

Respawn rate: one wave every 30 seconds



[U][B]Basic calculations[/B][/U]

Time to kill melee minions: 4.5 to 6.5 seconds, due to minion damage, auto-attacking, and AP

  4.5 seconds is the fast case.

  5.5 seconds is standard base case.

  6.5 seconds is absolute worst case.

Mana cost: 75 + 20 per tic

  235 mana

  275 mana

  315 mana

Crest of the Ancient Golem:

  MP5: 25 + 0.5% of maximum mana = 27.875

  Mana regenerated: 167.25 per wave



[B][U]Advanced calculations[/U][/B]

Assume regenerations are calculated every 0.5 seconds (probably wrong though).

Assume NONE of the conditions change (level, minion strength, etc.)

Assume you can move, auto-attack, and use the ability Glacial Storm.

Assume it takes about 25 seconds to reach a side lane.

Using Excel with the fast case:

  After 30 waves, lowest mana point is stable at approximately 115.1 mana.  Indefinitely sustainable.

  If you're ganking a lane, mana regeneration would give you approximately 330 mana by the time you reach a side lane.

  Mana regenerated: 214.9

  This is only enough for three to four spells in general.

Using Excel with the standard base case:

  After 30 waves, lowest mana point is stable at approximately 27.9 mana.  Indefinitely sustainable.

  If you're ganking a lane, mana regeneration would give you approximately 270 mana by the time you reach a side lane.

  Mana regenerated: 242.1

  This is only enough for two to three spells in general.

Using Excel with the absolute worst case:

  After 5 waves, you'd OOM.  Ouch.  Better resort to using Flash Frost and auto-attacking to hold the minions at bay.