Posts Tagged ‘teory’

Stats

eli

Spellpower

Spellpower increases the healing of each spell differently. In the table below the number in the “no talents” columns are how they scale without any talents. The full talents column is the coefficient if you have Master Shapeshifter, Gift of Nature, Improved Rejuvenation, Empowered Touch, Empowered Rejuvenation, Genesis and Tree of Life active. After some testing I concluded the following:

  • Gift of Nature and Genesis stack. They increase HoTs by 15% (1.15 coefficient) instead of 10% and 5% seperately (1.155 coefficient). They also stack with improved Rejuvenation (making the coefficient for this spell 1.3).
  • Empowered Rejuvenation affects both the final Lifebloom ticks as the initial Regrowth heal. Genesis does not affect these.
  • Master Shapeshifter, Tree of Life aura and Gift of Nature with Genesis are all multiplicative. This means: healing * 1.15 (GoN + Genesis) * 1.06 (ToL aura) * 1.04 (Master Shapeshifter).
  • Wild Growth’s extra bonus healing is divided equally over the ticks, in contrast to the base healing which heals less each tick.
SPELL			NO TALENTS		FULL TALENTS
Lifebloom HoT		0.666 [0.095]		1.013 [0.145]
Lifebloom Bloom		0.645			0.939
Rejuvenation		1.88  [0.376]		3.233 [0.647]
Regrowth Initial	0.537			0.781
Regrowth HoT		1.316 [0.188]		2.002 [0.286]
Nourish w/o HoT		0.671			0.814
Nourish with HoT	0.806			0.977
Healing Touch		1.611			2.439
Wild Growth		n/a			1.132 [0.162]

The numbers in brackets are the coefficients per tick (these are more important as Nature’s Splendor uses these coefficients for each tick).

Intellect
1 intellect provides the following:

  • 1 intellect increases mana pool with 15 mana (16.5 with Kings). On a typical 8 minute fight this can be converted to 0.172 mp5
  • Assuming 1000 intellect and 1000 spirit, 1 intellect increases your main mana regeneration with 0.485 mp5 out of the five second rule or 0.145 mp5 in the five second rule (assuming Intensity and Kings).
  • Since Replenish works off the size of your mana pool, 16.5 (Kings) extra mana means 0.206 mp5 more through Replenishment.
  • 1 intellect also increases the chance you critically hit with spells by 0.006%.

This sums up to 0.523 mp5 and a little bit of crit chance. However, this number can change a lot based on your intellect, spirit, Replenishment uptime, duration of the encounter and time spent in the five second rule.

Spirit
1 spirit provides the following (assuming Living Spirit, Intensity and Kings):

  • Assuming 1000 intellect and 1000 spirit, 1 spirit increases your main mana regeneration with 1.115 mp5 out of the five second rule or 0.335 mp5 in the five second rule.
  • If you have improved Tree of Life, 1 spirit also increases your spellpower with 0.18975.

 

Critical strike rating
45.91 critical strike rating increases your chance your spells critically hit by 1%.

The mana regeneration formula used:
ManaRegen(SPI, INT) = (0.001+SPI*0.005575*(INT^0.5))*5

 Haste rating
32.79 haste rating increases your haste by 1%. If you have Gift of the Earthmother, you need 19.98% haste to get to a 1 second global cooldown, or 655 haste rating. Wrath of Air totem provides 5% haste and improved Moonkin aura provides 3% haste. Here is a list of the amount of haste rating you need with these buffs:

 

Wrath of Air and Improved Moonkin Aura/Swift Retribution Aura (with 3/3 Celestial Focus)
0/5 GotE = ~34.7% Haste = ~1137 Haste Rating
1/5 GotE = ~29.45% =~959 Haste Rating
2/5 GotE = ~23.85% =~782 Haste Rating
3/5 GotE = ~18.48% =~606 Haste Rating
4/5 GotE = ~13.11% =~430 Haste Rating
5/5 GotE = ~7.72% =~253 Haste Rating

… continue reading this entry.

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Innervate

Innervate – lvl 40   Increases the target’s Spirit based mana regeneration by 400% and allows full mana regeneration while casting. Lasts 20 sec.
30 yd range, Instant, 6 min cooldown

@wowwiki

  • 5 times more normal regen from spirit
  • mana regen will act outside of the FSR for the duration of Innervate. This means continue to cast and still get 100% of the mana from Innervate.

Raaff’s Mana Regen Calculator *BETA

Innervate Guidelines

Spirit vs. Mana/5

Spirit vs. Mana/5 Revisited – Accounting for Innervate

Which Is Better?

Formula for mana gained while under Innervate is as follows:

 Mana = [((Spirit/4.5) + 15)*50] + (4 * Mp5)

Therefore we can calculate the size of your self-innervates if we know your total spirit:

Total Spirit Mana Restored Under Innervate
100 1861
150 2416
200 2972
250 3527
300 4083
350 4683
400 5194
450 5749
500 6305
550 6860
600 7417
650 7972
700 8528

Innervate gains nothing from mana/5, but because it’s a 20-second cast, we assume that you’ll get back 20 seconds worth of your mp5 regen (which is 4 * mp5), so that’s why we add this to the “mana gained while under innervate.”

Note that when you cursor over the “Regen” section of your character screen, the “Regeneration While Casting” shows your Mana/5 plus 30% of your spirit regen (because you have 3/3 Intensity). This number is NOT your actual mp5 (you’ll just have to tally this up manually).

All of this math helps us use Innervate more effectively.

Innervate Guidelines

  1. Innervate a target who has a significant amount of spirit. Priests are the usually the best, followed by druids; however, realize that this depends on how much spirit gear your target has. Shaman and Paladins usually have very low spirit, so Innverating them is almost a waste of a cooldown. If you had to pick one, I would probably choose the shaman.
  2. Innervating a shadow priest is often beneficial for the group as a whole because shadow priests burn through mana very quickly, but return mana to the entire group. Therefore, helping a shadowpriest with mana will allow them to dps more aggressively, which will be better for that entire group in the long run.
  3. Innervate early on very long endurance fights – Magtheridon and A’lar. About a minute into the fight, innervate someone who is at like 50-60% mana. You’ll probably waste a few innervate ticks, but you’ll also get your Innervate back a second time towards the end of the fight.
  4. When self-innervating a lot of druids throw on weapons with a ton of spirit on them (and with +spirit enchants) to maximize the mana gained from innervate. See General Gear Recommendations for a few examples.

Spirit vs. Mana/5

While not in the FSR (while not casting):

  • 4.5 Spirit = 1 mana per tick (every 2 sec)
  • 2.5 Mp5 = 1 mana per tick
  • 1.8 Spirit = 1 Mp5

However, while in the FSR:

  • 15 Spirit = 1 mana per tick
  • 2.5 Mp5 = 1 mana per tick
  • 6 Spirit = 1 Mp5

Raid buffed you’re going to have a Blessing of Kings, and spirit will stack with this, mp5 wont. Also remember that the Living Spirit talent (+15% spirit) will stack with Blessing of Kings. These two buffs will affect the mp5 to spirit conversion:

fsr

However, realize that mp5 does absolutely nothing for your innervate, so which is better? Mp5 or Spirit? Before we can answer that question, we need to talk about a little spell called Innervate…

Spirit vs. Mana/5 Revisited – Accounting for Innervate

Which is better? The answer to that question depends on a few conditions:

When all the math is done, here’s the conversions:

sprmp5

Note that we assume Innervate returns mana based on a 6-minute cooldown.

Also, note that we use the phrase “Spirit (on a piece of gear).” This means that when you compare gear you can use these conversions directly to determine which will give you more regen. For example, if you have Living Spirit, Blessing of Kings, and you’re trying to compare two pieces of gear (one with 25 spirit, and another with 10 mp5) here’s how you would do the math:

 25 Spirit / 2.46 = 10.16 mp5

Therefore the piece of gear with 25 spirit would have better regen (assuming you innervated yourself).
Here’s an example of the math behind these numbers. In this case we seek to determine the spirit to mp5 conversion if you self-Innervate and if you have Blessing of Kings (but not Living Spirit):

Regen from spirit:

 [(1 Spirit * 1.1)/4.5] x 0.30 = 0.073333 Mana/Tick
 0.073333 Mana/Tick *(5/2) = 0.183333 Mana/5
 1 Spirit = 0.183333 Mana/5

Effective Regen from Innervate:

 [(1 Spirit * 1.1)/4.5] x 50 = 12.222222 Mana/Innervate
 12.222222 Mana/Innervate / 6 Minutes / 12 = 0.169753 Mana/5
 1 Spirit = 0.169753

So adding these up:

 0.183333 Mana/5 + 0.169753 Mana/5 = 0.353086 Mana/5
 1 Spirit = 0.353086 Mana/5
 2.83 Spirit = 1 Mp5

Which Is Better?

Spirit or Mana/5? The truth is that you want a balance of both. Spirit increases the healing from your ToL Buff, and it also increases the size of your self-Innervates. However, even with self-Innervates, even with the +15% spirit talent and Blessing of Kings: Mp5 is still preferable to spirit. Now, that’s not to say that you should shun spirit all-together, no you need a good chuck of spirit too… but pound for pound, point of regen for point of regen, Mp5 is usually superior.

If you can find a piece of gear that has 2.83 times (or 2.46 times) as much spirit as Mp5, then that piece is superior. It depends on your conversion (based on spec), whether you plan to self-innervate (or if you plan to innervate others), and how much +healing you want your ToL bonus to give.

There… I hope that clears up the debate. You can argue both ways ad nauseam, but now you at least have the conversions so that you can select gear more intelligently.

Healing Comparison

@wowwiki
  
hpmtabletalented
   
Spell  The name of the healing spell.

Healing  The average amount of healing done by the healing spell.

Mana  The mana cost of the spell

Cast time  The amount of time it takes to cast a spell.

Duration  The duration of Heal over Time type spells or a conservative guess for spells with multiple charges.

Scaling  The percentage of bonus healing effects from gear the healing spell recieves. See Spell power coefficient for a full list.

HPS  Healing per second; the amount of healing the spell does over a period of one second.

HPM  Healing per mana; the amount of healing this spell does per point of mana spent.

+x HPS  The healing per second when you have a total of x bonus healing from gear and/or buffs.

+x HPM  The healing per mana when you have a total of x bonus healing from gear and/or buffs.

SPS  Scaling per second; a value that says something about how well the HPS of the spell improves with bonus healing effects. a value of 100% means that 3.5 bonus healing increases the HPS by 1.

+H/HPM  Bonus healing per HPM; the amount of bonus healing needed in order to increase the HPM of the spell by 1. 
  • Healing spells that heal the entire group, heal an average of 3 wounded units.
  • The healers have 300 intellect, 300 spirit and 5% base crit chance with spells. (edit: This assumption may result in bias because Paladin and Shaman healers have little use for Spirit and the spell crit chance of Paladin Healers is normally much higher.)
  • A bonus of 5% critical strike chance to healing spells results in an average of 2.5% more healing done.

 This is a comparison of most (if not all) healing spells of the four different healing classes. There are both values available for spells with and without talents. Each section is ended by a list of top healing spells in different categories.

Conclusions

  • Top HPS spells
    1. Tranquility
    2. Binding Heal
    3. Holy Light + BoL
    4. Prayer of Healing
    5. Holy Light
  • Top HPM spells
    1. Healing Stream Totem
    2. Lightwell
    3. Tranquility
    4. Lifebloom (stacked) – Tree of Life
    5. Lifebloom (single cast) – Tree of Life
  • Top HPS scaling spells
    1. Binding Heal
    2. Swiftmend (rejuvenation)
    3. Chain Heal
    4. Swiftmend (regrowth)
    5. Greater Heal
  • Top HPM scaling spells
    1. Healing Stream Totem
    2. Lifebloom
    3. Earth Shield
    4. Rejuvenation
    5. Flash of Light
  • Note: The author only counts one jump of Prayer Of Mending, ProM can jump up to five times. Seems inconsistent compared to Shaman’s chain heal where it is given credit for three.

 Caster Form

List of considered talents

  • Naturalist: -0.5 seconds Cast time for Healing Touch
  • Tranquil Spirit: -10% Mana for Healing Touch, Tranquility
  • Improved Rejuvenation: +15% Healing for Rejuvenation
  • Gift of Nature: +10% Healing for all spells
  • Empowered Touch: +20% Scaling for Healing Touch
  • Improved Regrowth: +50% Crit for Regrowth
  • Natural Perfection: +3% Crit for Healing Touch, Regrowth, Swiftmend
  • Empowered Rejuvenation: +16% Scaling for Rejuvenation, Swiftmend (Rejuvenation); +14% Scaling for Regrowth, Swiftmend (Regrowth); +10% Scaling for Lifebloom (single cast); +31.2% Scaling for Lifebloom (stacked)

Todo: Add a similar table that removes Empowered Rejuvenation, but adds Moonglow (-9% mana to HT, Rejuv, Regrowth) and Lunar Guidance (25% of Int is added to +Heal)

Tree of Life Form

List of considered talents

  • All talents of Caster Form
  • Tree of Life: -20% Mana for all spells; +86 Healing for all spells

Comparison

Our first table gives the figures for the spells assuming no +heal whatsoever. Time is cast time plus spell duration.

 

 

 

0 +heal
Spell Healing Mana Time HPM HPS Contribution from +heal
Healing Touch 2952 935 3.5 (3.0) 3.16 843.43 (984) 100%
Rejuvenation  1060 (1219)   415 12 2.55    (2.93) 88.33 (101.6 ) 80%
Regrowth 2559 675 23 3.97 111.3 100%
Lifebloom (sequential) 1680 220 7 7.63 124.7 86.1%
Lifebloom (3x refreshed) 702 220 6 3.19 117 52% ‘per stack'(effectivly 133%)

 

 

 

 

1000 +heal
Spell Healing Mana Time HPM HPS Contribution from +heal
Healing Touch 3952 935 3.5 (3.0) 4.22 1129 (1317) 100%
Rejuvenation 1860 (2139) 415 12 4.48 (5.15) 155 (178) 80%
Regrowth 3559 675 23 5.27 155 100%
Lifebloom (sequential) 1680 220 7 7.63 240 86%
Lifebloom (3x refreshed) 2039 220 6 9.26 340 52% ‘per stack'(effectivly 133%)

 

 

 

As can easily be seen, stacking lifebloom and keeping it stacked not only becomes highly mana-efficient: it’s healing per second also rises considerably. In practise, druids will stack 3 lifeblooms and a rejuvenation on the target, providing around 500 HPS, and use regrowth for additional bursts of healing. This is made even more mana-efficient by tree of life form, which reduces the mana cost of all these spells by 20%.

 

 So for zero +heal, casting lifebloom every 7 seconds provides the highest heal per mana. The picture changes dramatically when we have +heal, though.

 

 

Coefficients

@wowwiki

coefficients

Direct (instant-effect) spells

Direct spells are spells that apply all the damage or healing at one time. That is, they have an instant duration. The amount of bonus damage or bonus healing depends on the cast time of the spell before any talents or abilities are applied to them. Spells with a cast time of less than 1.5 sec or greater than 7.0 sec are treated as having a cast time of 1.5 sec and 7.0 sec, respectively.

Direct Damage spells:

C = Cast Time / 3.5

Direct Heal spells:

C = (Cast Time / 3.5) * 1.88

Table of coefficients

Cast time Damage Coefficient Healing Coefficient
1.5- sec 42.86% 80.57%
2.0 sec 57.14% 107.43%
6.5 sec 185.71% 349.14%
7.0+ sec 200.00% 376.00%

As of Patch 3.0.2, it is necessary to multiply the results of the standard equations by a factor of approximately 1.88 for all healing spells. This is a proportionality constant introduced to account for the fact that bonus healing behaved differently from bonus spell damage prior to the patch, and took on a different range of values.

Direct (instant-effect) spells

Direct spells are spells that apply all the damage or healing at one time. That is, they have an instant duration. The amount of bonus damage or bonus healing depends on the cast time of the spell before any talents or abilities are applied to them. Spells with a cast time of less than 1.5 sec or greater than 7.0 sec are treated as having a cast time of 1.5 sec and 7.0 sec, respectively.

Direct Damage spells:

C = Cast Time / 3.5

Direct Heal spells:

C = (Cast Time / 3.5) * 1.88

Table of coefficients

Cast time Damage Coefficient Healing Coefficient
1.5- sec 42.86% 80.57%
2.0 sec 57.14% 107.43%
6.5 sec 185.71% 349.14%
7.0+ sec 200.00% 376.00%

Example calculation using Rank 11 (L80) of Fire Blast (Mage):

Cast Time = 0.0 (treated as 1.5)

C = 1.5 / 3.5
  = 42.86%

Examples of such spells include: Healing Touch (Druid), Greater Heal (Priest), Shadow Bolt (Warlock)

Some exceptions of this rule are:

Over time spells

Over time spells apply healing or damage over a period of time in ticks. The spell power coefficient depends on the duration of the over time effect.

Damage spells:

C = Duration / 15

Healing spells:

C = (Duration / 15) * 1.88

This coefficient applies to the entire duration of the spell. With a few exceptions, each tick receives an equal bonus. Therefore, the per-tick coefficient can be found by dividing the overall coefficient value by the number of ticks.

Prior to patch 2.0.1, there was a 100% cap on over time spells longer than 15 seconds. This cap has since been removed. There is no minimum duration cap for over time spells.

Table of coefficients

Duration Damage Coefficient Healing Coefficient
3 sec 20.00% 37.60%
6 sec 40.00% 75.20%
15 sec 100.00% 188.00%
18 sec 120% 225.60%
21 sec 140% 263.20%

Example calculation using Rank 15 (L80) of Rejuvenation (Druid):

Duration = 15
Number of Ticks = 5

CTotal = 15 / 15 * 1.88
   = 188.00%

CTick = CTotal / 5
   = 37.60% per tick

Examples of these spells include: Rejuvenation (Druid), Renew (Priest)

Some exceptions to this rule are:

Hybrid spells (Combined standard and over-time spells)

The bonus for spells that have both a direct and an over time component is divided between these components. Currently, the equations are unknown for hybrid healing spells. Several equations have been proposed, but none of them provide correct results for all (or most) hybrid spells. Because there are so few hybrid healing spells, it may be the case that their coefficients are not set by equations at all, but are chosen directly by the developers.

For hybrid damage spells, the equations are:

x = Duration / 15
y = Cast Time / 3.5

CDoT = x2 / (x + y)
CDD = y2 / (x + y)

CTotal = CDoT + CDD

Example calculation using the Rank 14 (L80) Moonfire (Druid) spell:

Duration = 12.0 sec
Cast Time = instant (treated as 1.5 sec)

x = 12.0 / 15.0 = 0.8000
y = 1.5 / 3.5 = ~0.4286

CDot = 0.80002 / (0.8000 + 0.4286)
   = 0.6400 / 1.2286
   = 52.09%

CDD = 0.42862 / (0.8000 + 0.4286)
   = 0.1837 / 1.2286
   = 14.95%

So the DoT portion of Moonfire (4 ticks) has a coefficient of 52.09% (~13.02% per tick). The DD portion has a coefficient of 14.95%. The total coefficient is 52.09% + 14.95% = 67.04%. This agrees very closely with the empirical values of 52% and 15%, respectively.

Examples of these spells include: Moonfire (Druid), Immolate (Warlock)

Exceptions to this rule include

Channeled spells

Channeled spells, like over time spells, have their benefit distributed over the entire duration of the spell. It is split evenly over each tick assuming that each tick causes the same amount of damage/healing. The duration of the spell cast time is used to calculate the total coefficient:

For damage spells:

CTotal = Duration / 3.5

For healing spells:

CTotal = (Duration / 3.5) * 1.88

For both:

CTick = CTotal / Number of Ticks

Example calculation using Rank 13 (L79) of Arcane Missiles (Mage):

Duration = 5.0
Number of Ticks = 5

CTotal = 5 / 3.5
   = 142.86%

CTick = CTotal / 5
   = 28.57%

Examples of these spells include: Hurricane (Druid), Arcane Missiles (Mage), Hellfire (Warlock). An exception to this rule is:

Area of effect spells

Area of Effect spells receive only 1/2 of the total bonus that they would if they were single-target spells. As with a direct spell, the cast time is used to calculate the coefficient. The 1.5 second minimum and 7.0 second maximum apply to area of effect spells.

Damage spells:

C = Cast Time / 7

Healing spells:

C = (Cast Time / 7) * 1.88

Table of coefficients

Cast time Damage Coefficient Healing Coefficient
1.5- sec 21.43% 40.29%
2.0 sec 28.57% 53.71%
6.5 sec 92.861% 174.57%
7.0+ sec 100.00% 188.00%

Example calculation using Rank 7 (L80) of Circle of Healing (Priest)

Cast Time = instant (treated as 1.5)

C = (1.5 / 7) * 1.88
  = 40.29%

Examples of these spells include: Arcane Explosion (Mage), Prayer of Healing (Priest), Circle of Healing (Priest)

In the Burning Crusade and patch 2.0 there is a diminishing return against multiple targets. That is, as the number of targets your spells affect increases, the less damage you will deal to them. The numbers for this mechanic aren’t yet known.

Rules for applying spell damage and healing

  1. Calculate spell time using the base spell cast time before talents and gear. (The in-game tool tip will include those bonuses; refer to WoWWiki’s spells section for base cast times for all spells.)
  2. Spells that take longer than 7.0 seconds to cast are treated as if their casting time was 7.0 seconds, and spells faster than 1.5 sec are treated as if their casting time was 1.5 seconds.
  3. Damage benefits are applied before any talents or buffs that may otherwise increase your spell damage.

Penalty rules

Spells learned before level 20

Many spells have multiple ranks. To avoid abuse of lower ranks to have a similar effect at a negligible mana cost, any spell learned below level 20 receives a large penalty. If such a spell has a shorter cast time than a higher rank, this is also taken in to account. This penalty can be calculated by subtracting 3.75% for each level lower than 20.

(20 - Level Spell is Learned) * .0375 = Penalty

Downranked spells

Main article: Downranking

Downranking, the act of purposefuly using a lower-rank cheaper spell, no longer has any mana benefit as of Patch 3.0.

Spells with additional effects

Spells with additional effects, like a slowing effect, receive a penalty for each effect. Typically the penalty is 5% per additional effect, but can vary according to the developers’ whims. For instance, here is the calculation for Rank 7 (L80) of Insect Swarm (Druid), which is an over time spell with a chance-to-hit debuff:

C = (12.0 / 15.0) * 0.95
  = 76.00%

Examples of these spells include: Blast Wave (Mage), Blizzard (Mage), Insect Swarm (Druid)

Spells that both damage and heal

Some spells, namely Life Drains, both damage the target and heal the caster. The bonus is split between the healing and damaging portion, roughly in proportion to the amount of healing and damage involved. That is, if a spell heals 4 points for every 1 point of damage, 1/5 of the spell’s bonus will go to damage and roughly 4/5 will go to healing. Because bonus healing does not apply to these spells, the 1.88 multiplier is not used for the healing portion.

Thus Drain Life’s bonus is applied 50%/50% to damage/healing, while Devouring Plague’s bonus is split roughly 75%/25%. The exact equations are unknown at this time, but a reasonably close answer can be obtained by:

CDamage = CTotal / (Damage Amount / [Damage Amount + Healing Amount])
CHealing = CTotal / (Healing Amount / [Damage Amount + Healing Amount])

Examples of these spells include: Devouring Plague (Priest), Holy Nova (Priest), Drain Life (Warlock)

How do talents like “Empowered Rejuvenation” Affect Coefficients?
The Empowered Rejuvenation talent reads:
Increases the bonus healing of your heal over time effects by 20%

What this means is that for all HoT effects, you take your current +healing and add 20%. So if you had 1000 +healing, your HoTs would act as though you had 1200 +healing.

Gift of Nature increases the effect of all healing spells by 10%. Does this stack with +healing?
Yes.

For example, if your healing touch would normally heal for 2800, and you had a 1000 +healing, then here’s what this talent would do for you:

 (2800 + 1000) x 110% = 4180

With Empowered Touch (+20% Bonus Healing on Healing Touch) and Gift of Nature, here’s how the math works out:

 [2800 + (1000 x 120%)] x 110% = (2800 + 1200) x 110% = 4400

Lifebloom : Numbers

@Wowforum

For an average boss fight of 5 minutes:

Pre-nerf:

1 LB stack = 366*3 = 1098 + 366 every 9 seconds (using LB glyph, but taking into account that we can’t time it exactly ms into ms to get full 10 sec out of it)

1098 + 366*300/9 = 13298 Mana spent per fight.

At 2100 +Healing in ToL hot heals for 1045, Blooms for 2900 (not letting it bloom)

1045*9 = 9405 healing per 9 seconds

9405*300/9 = 313500 Healing per fight.

313500/13298 = 23.57 HPM

GCDs spent: 3+1*300/9 = 37

Post-nerf:

1 LB stack = 732*3 = 2196

Keeping it up: 2196 + 732*300/9 = 26596 Mana per fight

313500/26596 = 11.78 HPM

GCDs spent: 3+1*300/9 = 37

Letting it bloom: 2196*300/10 = 65880 Raw mana spent; 65880/2 = 32940 Mana spent per fight

Healing for 1045*10 + Bloom for 2900*3 = 19150 per 10 seconds

19150*300/10 = 574500 per fight

574500/32940 = 17.4 HPM

GCDs spent: 3*300/10 = 90

 

@druid.wikispaces

+2195 Healing
Lb  1x Mana cost: 220 / 179
   Total Healing    3600
    HPM        16.4/20.5
    HPS        514
    HPSC      2400
    HPT        258
    Bloom        1695
Lb 2x Mana cost: 220 / 179
    Total Healing    3612
    HPM       16.4/20.5
    HPS        516
    HPSC       2408
    HPT        516
Lb 3x Mana cost: 220 / 179
    Total Healing    5418
    HPM        24.6/30.8
    HPS        774
    HPSC        3612
    HPT        774

Regrowth Mana cost: 845/676
    Total Healing    6418
    HPM        7.6/9.5
    HPS        305.6
    HPSC        3208.8
    HPT        490.5
    Direct Heal    2984
    Direct Heal %    46.5% 

Rejuvenation Mana cost: 415/332
    Total Healing    3959
    HPM      9.5/11.9
    HPS        330
    HPSC        2639.3
    HPT        990

Healing Touch (Mana cost: 841)
Total Healing    6834
Total Healing    ~6462
    HPM        8.1
    HPS        2278

Swiftmend (Rej)

Mana cost 379/303 + Lost ticks from consumed
    Total Healing    3959
    HPM        10.4/13
    HPS        2639.3

Swiftmend (Reg)

(Mana cost 379/303 + Lost ticks from consumed)
Total Healing    3434
    HPM     9/11.3
    HPS        2289.3

@hotrstree

A Few More Lifebloom Calculations from the PTR

Raaff (Druid Heal!) threw some Lifebloom numbers out there first, looking at its new efficiency and throughput. His post left me asking two questions:  
1. Does equipping 2pT7, which lowers the cost of Lifebloom have any affect on the amount of mana you get back when it blooms?
2. What is the throughput and efficiency of just Lifebloom? (Since Raaff’s calculations were for a full reasonable cast cycle.)
Averna (Nerf this Druid) ran some numbers on throughput of Lifebloom alone. Her calculations included the bloom portion. This left me asking:

3. In a worst case scenario, or most like the current situation scenario, the bloom will all be overheal. What does this mean for Lifeblooms efficiency and throughput?

Scroll to the bottom to skips mathz and see conclusions.

This post has been highly inspired by Raaff and Averna and may subconsciously draw from their work, although I did all my own number crunching using my gear. If you haven’t checked out their 3.1 PTR work yet, please do so.

Currently a Lifebloom cycle is 10 seconds long (with Glyph), costs 366 mana (with 2pT7), and a single Lifebloom ticks for 400 (for me), 800 for two, and 1200 for 3. I am going to ignore the mana cost and time to get the stack up, since most druids will not let that stack fall off the main tank.
Throughput:
1,200 HP ticks @ 1 tick/sec for 10 sec =
12,000 HP healed in a cycle
1,200 HP/10 sec = 1,200 HPS

Efficiency:
1 cast every 10 sec @ 366 mana/cast = 366 Mana spent in a cycle
12,000 HP/366 MP = 33 HPM
PTR Rolling (w 2pT7) The only change from the current numbers is that the cost will be 733 mana up from 366.
Throughput will remain the same: 1,200 HPS

Efficiency:
1 cast every 10 sec @ 733 mana/cast = 733 Mana spent in a cycle
12,000 HP/733 MP = 16 HPM
PTR Rolling (w/o 2pT7) The only change from the current numbers is that the cost will be 782 mana up from 366 (current) or 733 (w/ 2pT7).
Throughput will remain the same: 1,200 HPS

Efficiency:
1 cast every 10 sec @ 782 mana/cast = 782 Mana spent in a cycle
12,000 HP/782 MP = 15 HPM
PTR Blooming Overheal (w/ 2pT7) For this calculation I will assume that all of the Bloom over the healing done by a normal tick will go to overheal, since it is very difficult on most fights to predict damage 10 seconds into the future. A Lifebloom cycle is now 12 seconds long, since we need to rebuild our stack of 3. Half of mana refunded at the Bloom is equal to 1469 mana refunded.
Throughput:
1,200 @ 1 tick/sec for 10 sec = 12,000 HP
12,000 + 400
(1st tick) +800 (2nd tick) = 13,200 HP healed in a cycle
13,200 HP/ 13 sec = 1,015 HPS

Efficiency:
3 casts every 13 sec @ 733 mana/cast = 2,199 Mana spent in a cycle
2,199 mana spent – 1469 mana refunded = 730 Net Mana spent in a cycle
13,200 HP/730 MP = 18 HPM
PTR Blooming Overheal (w/o 2pT7) The same as the above calculation, except Lifebloom now costs 782 mana per cast.
Throughput will remain the same as above: 1,015 HPS

Efficiency:
3 casts every 13 sec @ 782 mana/cast = 2,346 Mana spent in a cylce
2,346 mana spent – 1469 mana refunded = 877 Net Mana spend in a cylce
13,200 HP/877 MP = 15 HPM
PTR Blooming Not Overhealed (w/ 2pT7) This is a calculation that is probably too good to be true. But once and a while we may get lucky and our entire bloom may go to effective healing. My bloom heals for 9703 HP.
Throughput:
400 (1st tick) + 800 (2nd tick) + 1,200*9 (ticks 3 though 11) + 9,703 (bloom) = 21,703 HP Healed in a cycle
21,703 HP/13 sec = 1,669 HPS

Efficiency:
3 casts every 13 sec @ 733 mana/cast = 2,199 Mana spent in a cycle
2,199 mana spent – 1469 mana refunded = 730 Net Mana spent in a cycle
21,702 HP/730 MP = 30 HPM
PTR Blooming Not Overhealed (w/o 2pT7) Same as above, but costs 782 mana per Lifebloom application.

 

Throughput will be the same as above: 1,669 HPS

Efficiency:
3 casts every 13 sec @ 782 mana/cast = 2,346 Mana spent in a cylce
2,346 mana spent – 1469 mana refunded = 877 Net Mana spend in a cylce
21,702 HP/877 MP = 25 HPM
Conclusions
1a. Equipping 2pT7 does not effect the amount of mana you get back when Lifebloom blooms. It was 1,469 mana returned with or without it. It makes casting Lifebloom 6% more efficient if you are rolling blooms and 20% more efficient if you are letting the blooms bloom. 4pT8 is going to have to be really really good to get Resto Druids to give up 2pT7.
2a. If your bloom is not overhealing, this will actually be a 39% buff to the throughput of Lifebloom. At least they threw us some consolation prize.
2b. Sadly, we are experiencing a 10% increase to the cost of Lifebloom. This is the best case scenario, if your bloom is going to effective healing.

3a. Throughput of Lifebloom ticks alone will drop 15%. This assumes all the bloom is overheal. I predict we will not notice any change in throughput for Lifebloom, since most of the time the bloom will be overheal, but once and a while it will actually contribute something. Your ability to predict the future… I mean damage… will make a big difference on how much of a nerf/buff this is to your Lifeblooms.
3b. The nerf could be as high as a 83% increase to cost. Again, your ability to predict the future will determine where you fall on the 10% to 83% cost increase spectrum. If you plan on rolling those blooms still, you are looking at a 106% increase, that you can do nothing about. Ouch!

Suggestions
1. Wear your 2pT7 until you absolutely have to break it. Make sure you are going into T8 with all 5 pieces of T7, even if you are not wearing them now. This will give you the most flexibility to keep the 2pT7 bonus as you pick up new pieces of gear after the patch.
2. Be prepared to not roll Lifeblooms. Start practicing now in heroics, 10 mans, and/or on 25 man trash. You have a bad habit to break, even though it was once good. This is like unlearning to brush your teeth in the morning and unlearning to put on your seat belt in the car. It will feel very very wrong, but it is the way to be mana efficient.
3. Whether this will be a nerf or a buff to your Lifebloom throughput and how badly of a nerf it will be to your efficiency will depend on your ability to predict damage. If you are not running BigWigs or Deadly Boss Mod timers, for heaven’s sake get them. Practice now watching cool downs on abilities and finishing the three stack (ie adding the final LB to a stack of 2) 10 seconds before you know the tank will take increased damage. Some fights this will be impossible. Other fights it will just be freaking hard.

Any questions/comment/complaints welcome as always. I did most of this math on a note card waiting for Watchmen to start (good movie!) so I am very open to “Aert, you can’t add here.”

 

Paininabox’s Spreadsheet – Pre 3.1

 

 

   
Stats  
Stamina 1353
Intellect 1159
Spirit 1241
Spell Power 2855
Crit % 14,31
Haste % 18,664
HP 20767
Mana 20601
MP5 Casting 671
MP5 Not Casting 1495
Replen.= 283
 
MRV
#AD?
 
HPV
#AD?
 
       
Stat Weights
Regeneration scale Healing Power scale
MP5 1 Spell Power 1
Intellect 0,587110045 Spirit 0,15
Spirit 0,444169613 Intellect 0,021404366
    Crit Rating 0,077733609
       
       
Stat Weight Options Ex. 25%= 0.25
Crittable Heals of Total Healing %: 0,25
Fight length (minutes) 8
% Time in 5SR 0,9
   
Innervate
Mana Return: 18703    
       
Spells        
       
       
         
Healing Touch
Mana Cost 1003      
Crit % 18,31 0,1831    
Non-crit range 9778 10570 Average: 10174
Crit range 14667 15855 Average: 15261
Cast time 2,328      
HPS 4770      
HPM 11,0722      
MPS (when spammed) 430,809      
         
Regrowth (Direct heal)           Regrowth (HOT)   Regrowth (HOT+Heal)  
Mana Cost 719         Mana Cost 719   Mana Cost 719
Crit % 64,31 0,6431       Ticks 9   Total Heal 18497
Non-crit range 5223 6112 Average: 5667   Per tick 1195   Cast time 27
Crit range 8620 9168 Average: 8894   Total Healing 10755   HPS 685,074
Cast time 1,685         Cast time 27   HPM 25,726
HPS 4594         HPS 398   MPS 26,63
HPM 10,7681         HPM 14,9583      
MPS (when spammed) 426,631         MPS 26,607      
                     

 

Nourish (No HOT bonus)         Nourish (HOT bonus)        
Mana Cost 604       Mana Cost 604        
Crit % 18,31 0,1831     Crit % 18,31   0,1831    
Non-crit range 4493 4847 Average: 4670 Non-crit range 5391 5816 Average: 5603  
Crit range 6738 7270 Average: 7004 Crit range 8086 8724 Average: 8405  
Cast time 1,264       Cast time 1,264        
HPS 4032       HPS 4838        
HPM 8,4393       HPM 10,126        
MPS (when spammed) 477,765       MPS 477,78        
                     
Lifebloom (Bloom)         Lifebloom (HOT)            
Mana Cost 391       One Stack   Two Stack   Three Stack
Crit % 14,31 0,1431     Mana Cost 391   Mana Cost 391   Mana Cost 391
Non-crit 3708       Ticks 9   Ticks 9   Ticks 9
Crit 5561       Per tick 462   Per tick 924   Per tick 1386
Cast time 9       Total Healing 4158   Total Healing 8316   Total Healing 12474
HPS 441       Cast time 1,264   Cast time 1,264   Cast time 1,264
HPM 10,1615       HPS 462   HPS 924   HPS 1386
MPS (when spammed) 43,399       HPM 10,6343   HPM 21,2685   HPM 28,4308
          MPS 43,444   MPS 43,445   MPS 48,75
Rejuvenation
Mana Cost 340
Ticks 6
Per tick 2240
Total Healing 13440
Cast time 1,264
HPS 746
HPM 39,5294
MPS (when spammed) 18,872

 lifebeffienta

             
NOTE:  This graph assumes no latency, perfect timing, no haste, and no GotE, which will skew the accuracy.
             
Purpose of this graph:          
Why did I include this?  Well, ideally, Lifebloom will have the efficiency that would be the ticks  
times the tick amount, divided by the mana cost.  However, the spell has a unique stacking  
mechanic that actually makes it so that it takes time for lifebloom to reach its ideal efficiency.  
As time approaches infinity, it will; in the real world, you will probably let the stack fall off  
inside of a minute or two if you’re dedicated.  This is an important distinction, because, as you can see,
the actual efficiency of your spell won’t be as good otherwise.  For a spell that lacks so little punch  
and relies completely on its efficiency to be viable, this can be a real concern.  This is also a great  
example of a spell in WoW that actually, truly, scales on the skill of the player, both in preventing the
stack from falling off and only clipping one tick.        
             

 

           
time healing done Mana cost Efficiency NOTE  
0 0 489 0    
0,5 0 489 0    
1 462 489 0,94478528    
1,5 462 978 0,47239264    
2 1386 978 1,41717791    
2,5 1386 978 1,41717791    
3 2772 1467 1,88957055    
3,5 2772 1467 1,88957055    
4 4158 1467 2,83435583    
4,5 4158 1467 2,83435583    
5 5544 1467 3,7791411    
5,5 5544 1467 3,7791411    
6 6930 1467 4,72392638    
6,5 6930 1467 4,72392638    
7 8316 1467 5,66871166    
7,5 8316 1467 5,66871166    
8 9702 1467 6,61349693    
8,5 9702 1467 6,61349693    
9 11088 1467 7,55828221    
9,5 11088 1467 7,55828221    
10 12474 1467 8,50306748    
10,5 12474 1467 8,50306748    
11 13860 1858 7,45963402    
11,5 13860 1858 7,45963402    
12 15246 1858 8,20559742    
12,5 15246 1858 8,20559742    
13 16632 1858 8,95156082    
13,5 16632 1858 8,95156082    
14 18018 1858 9,69752422    
14,5 18018 1858 9,69752422    
15 19404 1858 10,4434876    
15,5 19404 1858 10,4434876    
16 20790 1858 11,189451    
16,5 20790 1858 11,189451    
17 22176 1858 11,9354144    
17,5 22176 1858 11,9354144    
18 23562 1858 12,6813778    
18,5 23562 1858 12,6813778    
19 24948 2249 11,0929302    
19,5 24948 2249 11,0929302    
20 26334 2249 11,7092041    
20,5 26334 2249 11,7092041    
21 27720 2249 12,325478    
21,5 27720 2249 12,325478    
22 29106 2249 12,9417519    
22,5 29106 2249 12,9417519    
23 30492 2249 13,5580258    
23,5 30492 2249 13,5580258    
24 31878 2249 14,1742997    
24,5 31878 2249 14,1742997    
25 33264 2249 14,7905736    
25,5 33264 2249 14,7905736    
26 34650 2249 15,4068475    
26,5 34650 2249 15,4068475    
27 36036 2640 13,65    
27,5 36036 2640 13,65    
28 37422 2640 14,175    
28,5 37422 2640 14,175    
29 38808 2640 14,7    
29,5 38808 2640 14,7    
30 40194 2640 15,225    
30,5 40194 2640 15,225    
31 41580 2640 15,75    
31,5 41580 2640 15,75    
32 42966 2640 16,275    
32,5 42966 2640 16,275    
33 44352 2640 16,8    
33,5 44352 2640 16,8    
34 45738 2640 17,325    
34,5 45738 2640 17,325    
35 47124 3031 15,5473441    
35,5 47124 3031 15,5473441    
36 48510 3031 16,0046189    
36,5 48510 3031 16,0046189    
37 49896 3031 16,4618938    
37,5 49896 3031 16,4618938    
38 51282 3031 16,9191686    
38,5 51282 3031 16,9191686    
39 52668 3031 17,3764434    
39,5 52668 3031 17,3764434    
40 54054 3031 17,8337182    
40,5 54054 3031 17,8337182    
41 55440 3031 18,2909931    
41,5 55440 3031 18,2909931    
42 56826 3031 18,7482679    
42,5 56826 3031 18,7482679    
43 58212 3422 17,0111046    
43,5 58212 3422 17,0111046    
44 59598 3422 17,4161309    
44,5 59598 3422 17,4161309    
45 60984 3422 17,8211572    
45,5 60984 3422 17,8211572    
46 62370 3422 18,2261835    
46,5 62370 3422 18,2261835    
47 63756 3422 18,6312098    
47,5 63756 3422 18,6312098    
48 65142 3422 19,0362361    
48,5 65142 3422 19,0362361    
49 66528 3422 19,4412624    
49,5 66528 3422 19,4412624    
50 67914 3422 19,8462887    
50,5 67914 3422 19,8462887    
51 69300 3813 18,1746656    
51,5 69300 3813 18,1746656    
52 70686 3813 18,5381589    
52,5 70686 3813 18,5381589    
53 72072 3813 18,9016522    
53,5 72072 3813 18,9016522    
54 73458 3813 19,2651456    
54,5 73458 3813 19,2651456    
55 74844 3813 19,6286389    
55,5 74844 3813 19,6286389    
56 76230 3813 19,9921322    
56,5 76230 3813 19,9921322    
57 77616 3813 20,3556255    
57,5 77616 3813 20,3556255    
58 79002 3813 20,7191188    
58,5 79002 3813 20,7191188    
59 80388 4204 19,1217888    
59,5 80388 4204 19,1217888    
60 81774 4204 19,4514748    
60,5 81774 4204 19,4514748    
61 83160 4204 19,7811608    
61,5 83160 4204 19,7811608    
62 84546 4204 20,1108468    
62,5 84546 4204 20,1108468    
63 85932 4204 20,4405328    
63,5 85932 4204 20,4405328    
64 87318 4204 20,7702188    
64,5 87318 4204 20,7702188    
65 88704 4204 21,0999049    
65,5 88704 4204 21,0999049    
66 90090 4204 21,4295909    
66,5 90090 4204 21,4295909    
67 91476 4595 19,9077258    
67,5 91476 4595 19,9077258    
68 92862 4595 20,209358    
68,5 92862 4595 20,209358    
69 94248 4595 20,5109902    
69,5 94248 4595 20,5109902    
70 95634 4595 20,8126224    
70,5 95634 4595 20,8126224    
71 97020 4595 21,1142546    
71,5 97020 4595 21,1142546    
72 98406 4595 21,4158868    
72,5 98406 4595 21,4158868    
73 99792 4595 21,717519    
73,5 99792 4595 21,717519    
74 101178 4595 22,0191513    
74,5 101178 4595 22,0191513    
75 102564 4986 20,5703971    
75,5 102564 4986 20,5703971    
76 103950 4986 20,8483755    
76,5 103950 4986 20,8483755    
77 105336 4986 21,1263538    
77,5 105336 4986 21,1263538    
78 106722 4986 21,4043321    
78,5 106722 4986 21,4043321    
79 108108 4986 21,6823105    
79,5 108108 4986 21,6823105    
80 109494 4986 21,9602888    
80,5 109494 4986 21,9602888    
81 110880 4986 22,2382671    
81,5 110880 4986 22,2382671    
82 112266 4986 22,5162455    
82,5 112266 4986 22,5162455    
83 113652 5377 21,1366933    
83,5 113652 5377 21,1366933    
84 115038 5377 21,3944579    
84,5 115038 5377 21,3944579    
85 116424 5377 21,6522224    
85,5 116424 5377 21,6522224    
86 117810 5377 21,909987    
86,5 117810 5377 21,909987    
87 119196 5377 22,1677515    
87,5 119196 5377 22,1677515    
88 120582 5377 22,4255161    
88,5 120582 5377 22,4255161    
89 121968 5377 22,6832806    
89,5 121968 5377 22,6832806    
90 123354 5377 22,9410452    
90,5 123354 5377 22,9410452    
91 124740 5768 21,6262136    
91,5 124740 5768 21,6262136    
92 126126 5768 21,8665049    
92,5 126126 5768 21,8665049    
93 127512 5768 22,1067961    
93,5 127512 5768 22,1067961    
94 128898 5768 22,3470874    
94,5 128898 5768 22,3470874    
95 130284 5768 22,5873786    
95,5 130284 5768 22,5873786    
96 131670 5768 22,8276699    
96,5 131670 5768 22,8276699    
97 133056 5768 23,0679612    
97,5 133056 5768 23,0679612    
98 134442 5768 23,3082524    
98,5 134442 5768 23,3082524    
99 135828 6159 22,0535801    
99,5 135828 6159 22,0535801    
100 137214 6159 22,2786167    
100,5 137214 6159 22,2786167    
101 138600 6159 22,5036532    
101,5 138600 6159 22,5036532    
102 139986 6159 22,7286897    
102,5 139986 6159 22,7286897    
103 141372 6159 22,9537263    
103,5 141372 6159 22,9537263    
104 142758 6159 23,1787628    
104,5 142758 6159 23,1787628    
105 144144 6159 23,4037993    
105,5 144144 6159 23,4037993    
106 145530 6159 23,6288358    
106,5 145530 6159 23,6288358    
107 146916 6550 22,4299237    
107,5 146916 6550 22,4299237    
108 148302 6550 22,6415267    
108,5 148302 6550 22,6415267    
109 149688 6550 22,8531298    
109,5 149688 6550 22,8531298    
110 151074 6550 23,0647328    
110,5 151074 6550 23,0647328    
111 152460 6550 23,2763359    
111,5 152460 6550 23,2763359    
112 153846 6550 23,4879389    
112,5 153846 6550 23,4879389    
113 155232 6550 23,699542    
113,5 155232 6550 23,699542    
114 156618 6550 23,911145    
114,5 156618 6550 23,911145    
115 158004 6941 22,7638669    
115,5 158004 6941 22,7638669    
116 159390 6941 22,9635499    
116,5 159390 6941 22,9635499    
117 160776 6941 23,163233    
117,5 160776 6941 23,163233    
118 162162 6941 23,362916    
118,5 162162 6941 23,362916    
119 163548 6941 23,562599    
119,5 163548 6941 23,562599    
120 164934 6941 23,7622821    
120,5 164934 6941 23,7622821    
121 166320 6941 23,9619651    
121,5 166320 6941 23,9619651    
122 167706 6941 24,1616482    
122,5 167706 6941 24,1616482    
123 169092 7332 23,0621931    
123,5 169092 7332 23,0621931    
124 170478 7332 23,2512275    
124,5 170478 7332 23,2512275    
125 171864 7332 23,4402619    
125,5 171864 7332 23,4402619    
126 173250 7332 23,6292962    
126,5 173250 7332 23,6292962    
127 174636 7332 23,8183306    
127,5 174636 7332 23,8183306    
128 176022 7332 24,007365    
128,5 176022 7332 24,007365    
129 177408 7332 24,1963993    
129,5 177408 7332 24,1963993    
130 178794 7332 24,3854337    
130,5 178794 7332 24,3854337    
131 180180 7723 23,3303121    
131,5 180180 7723 23,3303121    
132 181566 7723 23,509776    
132,5 181566 7723 23,509776    
133 182952 7723 23,6892399    
133,5 182952 7723 23,6892399    
134 184338 7723 23,8687039    
134,5 184338 7723 23,8687039    
135 185724 7723 24,0481678    
135,5 185724 7723 24,0481678    
136 187110 7723 24,2276317    
136,5 187110 7723 24,2276317    
137 188496 7723 24,4070957    
137,5 188496 7723 24,4070957    
138 189882 7723 24,5865596    
138,5 189882 7723 24,5865596    
139 191268 8114 23,5725906    
139,5 191268 8114 23,5725906    
140 192654 8114 23,7434065    
140,5 192654 8114 23,7434065    
141 194040 8114 23,9142223    
141,5 194040 8114 23,9142223    
142 195426 8114 24,0850382    
142,5 195426 8114 24,0850382    
143 196812 8114 24,2558541    
143,5 196812 8114 24,2558541    
144 198198 8114 24,42667    
144,5 198198 8114 24,42667    
145 199584 8114 24,5974858    
145,5 199584 8114 24,5974858    
146 200970 8114 24,7683017    
146,5 200970 8114 24,7683017    
147 202356 8505 23,7925926    
147,5 202356 8505 23,7925926    
148 203742 8505 23,9555556    
148,5 203742 8505 23,9555556    
149 205128 8505 24,1185185    
149,5 205128 8505 24,1185185    
150 206514 8505 24,2814815    
150,5 206514 8505 24,2814815    
151 207900 8505 24,4444444    
151,5 207900 8505 24,4444444    
152 209286 8505 24,6074074    
152,5 209286 8505 24,6074074    
153 210672 8505 24,7703704    
153,5 210672 8505 24,7703704    
154 212058 8505 24,9333333    
154,5 212058 8505 24,9333333    
155 213444 8896 23,9932554    
155,5 213444 8896 23,9932554    
156 214830 8896 24,1490558    
156,5 214830 8896 24,1490558    
157 216216 8896 24,3048561    
157,5 216216 8896 24,3048561    
158 217602 8896 24,4606565    
158,5 217602 8896 24,4606565    
159 218988 8896 24,6164568    
159,5 218988 8896 24,6164568    
160 220374 8896 24,7722572    
160,5 220374 8896 24,7722572    
161 221760 8896 24,9280576    
161,5 221760 8896 24,9280576