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02/25/10, 9:30 PM
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#52 | |
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Glass Joe
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Whatever you are seeing, either you're looking at it wrong or there is latency issues. |
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02/26/10, 9:49 AM
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#53 | ||
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Don Flamenco
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You could well argue that you would use your cycle with 10% haste. You could also argue that with 10% haste, my previous cycle requires 6.81s, and including lag, it will be more that 7s, and you will keep the same cycle. Then in an arbitrary 8s interval, you'll have in mean really 2.2 HC-friendly casts. I think that if you want to treat it correctly, but in a general way, the following approach would be the correct one : 1/ Determine which frequence you use PoM / COH (can be 7s at best). That leads to a cycle length T, which should not really depend on your haste. 2/ Determine how many cast you can squeeze in that period : you get a real value N = T * (1+haste) / 1.5 3/ Consider that 2 cast at least are POM and COH, so you get at most T*(1+haste)/1.5 - 2 HC-friendly cast. 4/ Take into account your SOL casts : either with a fixed number A of cast, or with a proportion B of free casts. 5/ Your final number of HC-friendly cast is then either K=T*(1+haste)/1.5 - (2+A), or K = (1-B)*[T*(1+haste)/1.5 - 2] 6/ In 8s, you get in mean K*8.0/T HC-friendly cast. If you want it rigorously, you need to get rid of real cast number, and consider the probability Pn of having cast exactly N HC-friendly spells in the last 8s, where the current time is taken uniformly in the cycle. For example, assuming a 7.5s with COH - POM - SOL - Renew - Renew (and 0% haste) my mean number of HC-spells in 8s is 2 / 7.5*8 = 2.13. But if I consider t in [0-4.5] or in [5-6] or in [6.5-7.5], I have exactly 2 Renew cast in the last 8s before T. That's a probability p2 = 6.5/7.5= 0.866 If t is in [4.5 - 5] or [6 - 6.5], I have 3 Renew in the last 8s. Probability p3 is then p3 = 1/7.5 = 0.13333. Note that we have exactly 2 * p2 + 3 * p3 = 2.1333, as it shall be. Now, you can have precise HC uptime, with is But that's the kind of thing that are not really sexy to compute, and change in weird ways with haste. Due to the convexity of x -> a^x function, the approximation HC ~ 1 - (1-Crit)^Mean is not exact, but it is not too far. |
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02/26/10, 5:57 PM
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#54 |
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Glass Joe
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To investigate the effect of both haste and crit on Holy Concentration uptime, I decided to run a monte-carlo analysis. I assumed the rotation outlined above (ProM-CoH-Renew-Renew-FH) and calculated the uptime for a simulated five minute fight with zero haste. I ran thirty thousand simulation runs for each crit value and plotted the median and 90% confidence interval. The results are plotted below.
I then repeated the analysis with 25% haste. The mean uptime value was nearly identical -- within the width of the line on one plot so not shown overlapping. The only noticeable effect was that the confidence interval narrowed slightly. This means that on the fights where you get very lucky or very unlucky with crit procs, haste will move HC uptime closer to the mean. I can say with a fair degree of confidence that haste does not affect HC uptime in any meaningful way. I confirmed that the same is true for inspiration using a discipline rotation. I suspect that this true for any similar ability. ---- Edit: I replaced the word "mean" with "median," since that is what is actually plotted. I changed "95% confidence bounds" to "90%." The three lines corespond to the 5th, 50th, and 95th percentile of uptimes from the simulation runs. Thus the uptime you see in a given fight should fall between the top- and bottom-most lines 90% of the time. Last edited by kamaia : 02/26/10 at 6:58 PM. |
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03/19/10, 7:27 AM
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#56 | |
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Glass Joe
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04/01/10, 4:07 AM
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#57 |
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Glass Joe
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Overhealing Rates
Since no one else bothered to do it, I parsed the ICC10 log file mentioned above for rates of overhealing. That is, fraction of spells cast that result in overhealing.
Looks like our disco buddy (Baptistine) had over healing rates around 50%, depending on the spell. But they ranged wildly from 8% for Greater Heal (how in the world?) to 93% for Holy Nova. 38% for CoH in Holy mode, 64% for Penance. I don't know if I trust these numbers, as this is my first time digging around in the combat logs like this. GH should have a high Overheal%, but maybe it was only used on a fight with a particular mechanic. The other holy priest (Khunanya) had >90% overhealing rate on his GH's though. For penance, you'd expect with 64% OH% that the second tick must have OH'd and the third tick would be useless, but the snipe rate for that is only 2%, i.e. only 2% of his penance dots did nothing, rather than the 33% expected. So perhaps there was a lot of damage in between ticks; I'm not sure. Perl implementation started from the above snippet. I broke this down per/healer and per/spell for completeness.  #!/usr/bin/perl
use warnings;
use strict;
my $char = '"Swampdonky"'; # Character to analyze (use quotes)
#my $char = '"Baptistine"'; # Character to analyze (use quotes)
my %HEALS = ();
my ($heal, $overheal, $crit, $overcrit) = (0, 0, 0, 0);
my ($heal_count, $overheal_count, $crit_count, $overcrit_count) = (0, 0, 0, 0);
while (<STDIN>) {
next unless /SPELL_HEAL/;
my @event = split /,/;
#next unless $event[2] eq $char;
my $toon = $event[2];
my $spell = $event[ 8];
my $heal = $event[10];
my $over = $event[11];
my $is_crit = ($event[13] !~ /nil/);
$toon =~ s/"//g;
$spell =~ s/"//g;
if ( not exists $HEALS{$toon}{$spell} ) {
$HEALS{$toon}{$spell} = {
crit=>{ count=>0, size=>0, over_size=>0, over_count=>0, bad_size=>0, bad_count=>0 },
heal=>{ count=>0, size=>0, over_size=>0, over_count=>0, bad_size=>0, bad_count=>0 },
};
}
my $data;
if ( $is_crit ) { $data = $HEALS{$toon}{$spell}{'crit'} }
else { $data = $HEALS{$toon}{$spell}{'heal'} }
$data->{'count'}++;
$data->{'size' } += $heal;
if ( $over > 0 ) {
$data->{'over_size' } += $over;
$data->{'over_count'}++;
}
if ( $heal == 0 ) {
$data->{'bad_size' } += $over;
$data->{'bad_count'}++;
}
}
printf "%-30s %-30s %10s %10s %10s | %10s %10s %10s | %10s %10s %10s | %10s %10s %10s\n",
"Toon",
"Spell",
"Count",
"RawHeals",
"TotalHeals",
"CritRate",
"CritFrac",
"SnipedRate",
"ORate",
"OHealRate",
"OCritRate",
"OFrac",
"OHealFrac",
"OCritFrac",
;
foreach my $toon ( sort keys %HEALS ) {
next if scalar keys %{$HEALS{$toon}} < 4;
foreach my $spell ( sort keys %{$HEALS{$toon}} ) {
my $heal = $HEALS{$toon}{$spell}{'heal'};
my $crit = $HEALS{$toon}{$spell}{'crit'};
my $total_count = $heal->{'count'} + $crit->{'count'};
my $total_heal_size = $crit->{'size'} + $heal->{'size'};
my $total_over_size = $crit->{'over_size'} + $heal->{'over_size'};
my $total_size = $total_heal_size + $total_over_size;
printf "%-30s %-30s %10u %9uk %9uk | %9.0f%% %9.0f%% %9.0f%% | %9.0f%% %9.0f%% %9.0f%% | %9.0f%% %9.0f%% %9.0f%%\n",
$toon,
substr($spell, 0, 30),
$total_count,
$total_heal_size / 1000,
$total_size / 1000,
$crit->{'count'} / $total_count * 100,
$crit->{'size' } / $total_size * 100,
($crit->{'bad_count'} + $heal->{'bad_count'}) / $total_count * 100,
($heal->{'over_count'} + $crit->{'over_count'}) / $total_count * 100,
$heal->{'over_count'} / ($heal->{'count'}||1) * 100,
$crit->{'over_count'} / ($crit->{'count'}||1) * 100,
($heal->{'over_size' } + $crit->{'over_size' }) / $total_size * 100,
$heal->{'over_size' } / (($heal->{'size'}+$heal->{'over_size'})||1) * 100,
$crit->{'over_size' } / (($crit->{'size'}+$crit->{'over_size'})||1) * 100,
;
}
}
Toon: Who cast it Spell: Spell cast Count: Number of times cast RawHeals: Real healing accomplished (i.e. excluding overheals) TotalHeals: Total healing, including overheals CritRate: % of casts resulting in crits CritFrac: % of real healing resulting from crits SnipedRate: % of casts resulting in 0 real healing (i.e. too slow or wrong target) ORate: % of casts resulting in overhealing OHealRate: % of non-crits resulting in overhealing OCritRate: % of crits resulting in overhealing OFrac: % of total that is overhealing OHealFrac: % of non-crit subtotal that is overhealing OCritFrac: % of crit subtotal that is overhealing Toon Spell Count RawHeals TotalHeals | CritRate CritFrac SnipedRate | ORate OHealRate OCritRate | OFrac OHealFrac OCritFrac Adrianromero Death Coil 9 60k 89k | 0% 0% 0% | 67% 67% 0% | 33% 33% 0% Adrianromero Drain Life 21 31k 36k | 0% 0% 0% | 24% 24% 0% | 14% 14% 0% Adrianromero Fel Synergy 891 436k 763k | 0% 0% 0% | 64% 64% 0% | 43% 43% 0% Adrianromero Master Healthstone 2 8k 8k | 0% 0% 0% | 0% 0% 0% | 0% 0% 0% Adrianromero Siphon Life 1785 3200k 5619k | 0% 0% 0% | 81% 81% 0% | 43% 43% 0% Baptistine Binding Heal 18 136k 182k | 72% 59% 6% | 44% 40% 46% | 25% 28% 24% Baptistine Circle of Healing 167 916k 1201k | 29% 31% 0% | 38% 32% 53% | 24% 21% 28% Baptistine Desperate Prayer 8 83k 93k | 50% 55% 0% | 38% 25% 50% | 11% 20% 5% Baptistine Divine Hymn 30 253k 327k | 40% 40% 0% | 67% 61% 75% | 23% 23% 22% Baptistine Empowered Renew 110 375k 418k | 35% 43% 0% | 19% 19% 18% | 10% 11% 9% Baptistine Flash Heal 2302 18804k 26917k | 44% 36% 1% | 58% 51% 67% | 30% 26% 34% Baptistine Glyph of Power Word: Shield 1124 2369k 3315k | 43% 39% 0% | 44% 41% 48% | 29% 27% 30% Baptistine Greater Heal 168 3705k 3886k | 32% 36% 0% | 8% 9% 7% | 5% 5% 5% Baptistine Holy Nova 123 376k 720k | 41% 27% 0% | 93% 96% 90% | 48% 48% 47% Baptistine Leeching Swarm 65 87k 87k | 0% 0% 0% | 0% 0% 0% | 0% 0% 0% Baptistine Penance 782 3959k 6311k | 44% 34% 2% | 64% 62% 66% | 37% 37% 38% Baptistine Prayer of Healing 205 1084k 1608k | 44% 37% 0% | 58% 54% 64% | 33% 30% 35% Baptistine Prayer of Mending 892 5227k 6950k | 40% 39% 0% | 51% 46% 59% | 25% 21% 28% Baptistine Spirit of Redemption 8 0k 0k | 25% 33% 0% | 0% 0% 0% | 0% 0% 0% Cassharn Ardent Defender 4 50k 50k | 25% 31% 0% | 0% 0% 0% | 0% 0% 0% Cassharn Holy Light 5 36k 38k | 0% 0% 0% | 40% 40% 0% | 4% 4% 0% Cassharn Lay on Hands 3 187k 187k | 33% 27% 0% | 0% 0% 0% | 0% 0% 0% Cassharn Leeching Swarm 65 96k 96k | 0% 0% 0% | 0% 0% 0% | 0% 0% 0% Cassharn Master Healthstone 1 4k 4k | 0% 0% 0% | 0% 0% 0% | 0% 0% 0% Cassharn Seal of Light 118 91k 139k | 0% 0% 0% | 54% 54% 0% | 34% 34% 0% Darklawlz Ancestral Awakening 8 16k 22k | 0% 0% 0% | 38% 38% 0% | 23% 23% 0% Darklawlz Chain Heal 116 691k 1107k | 34% 26% 0% | 68% 66% 72% | 38% 35% 41% Darklawlz Earth Shield 26 122k 187k | 31% 30% 0% | 62% 67% 50% | 34% 38% 30% Darklawlz Lesser Healing Wave 6 45k 76k | 50% 34% 0% | 83% 100% 67% | 41% 50% 31% Darklawlz Riptide 13 56k 74k | 38% 36% 0% | 46% 38% 60% | 25% 24% 26% Famous Beacon of Light 14 99k 180k | 0% 0% 0% | 86% 86% 0% | 45% 45% 0% Famous Flash of Light 65 415k 612k | 43% 36% 0% | 58% 49% 71% | 32% 30% 34% Famous Glyph of Holy Light 10 15k 22k | 0% 0% 0% | 50% 50% 0% | 33% 33% 0% Famous Holy Light 5 84k 149k | 60% 38% 0% | 100% 100% 100% | 44% 48% 42% Famous Holy Shock 26 196k 279k | 42% 37% 0% | 58% 60% 55% | 30% 30% 30% Kahoo Death Coil 1 6k 6k | 0% 0% 0% | 0% 0% 0% | 0% 0% 0% Kahoo Fel Synergy 681 631k 1226k | 0% 0% 0% | 95% 95% 0% | 49% 49% 0% Kahoo Leeching Swarm 65 89k 89k | 0% 0% 0% | 0% 0% 0% | 0% 0% 0% Kahoo Soul Leech 65 147k 272k | 0% 0% 0% | 89% 89% 0% | 46% 46% 0% Khunanya Binding Heal 2 7k 7k | 0% 0% 0% | 0% 0% 0% | 0% 0% 0% Khunanya Circle of Healing 432 1560k 2365k | 27% 24% 0% | 62% 60% 69% | 34% 33% 35% Khunanya Desperate Prayer 1 6k 6k | 100% 100% 0% | 0% 0% 0% | 0% 0% 0% Khunanya Devouring Plague 38 5k 10k | 0% 0% 0% | 82% 82% 0% | 45% 45% 0% Khunanya Empowered Renew 235 488k 670k | 28% 27% 0% | 39% 36% 47% | 27% 25% 31% Khunanya Flash Heal 59 410k 603k | 10% 10% 0% | 64% 60% 100% | 32% 29% 44% Khunanya Greater Heal 16 235k 416k | 31% 24% 0% | 94% 91% 100% | 43% 45% 42% Khunanya Holy Nova 8 23k 37k | 12% 11% 0% | 62% 57% 100% | 38% 34% 50% Khunanya Leeching Swarm 65 88k 88k | 0% 0% 0% | 0% 0% 0% | 0% 0% 0% Khunanya Prayer of Healing 5 27k 53k | 20% 14% 0% | 100% 100% 100% | 48% 47% 50% Khunanya Prayer of Mending 111 784k 1064k | 31% 30% 0% | 53% 45% 71% | 26% 22% 32% Ladsexington Lifebloom 47 227k 438k | 19% 13% 0% | 94% 92% 100% | 48% 48% 48% Ladsexington Living Seed 2 5k 8k | 0% 0% 0% | 50% 50% 0% | 34% 34% 0% Ladsexington Regrowth 19 130k 216k | 53% 37% 0% | 79% 78% 80% | 40% 40% 40% Ladsexington Swiftmend 8 97k 133k | 38% 35% 0% | 75% 60% 100% | 27% 28% 25% Lessa Leeching Swarm 65 72k 72k | 0% 0% 0% | 0% 0% 0% | 0% 0% 0% Lessa Lifebloom 102 434k 816k | 15% 9% 0% | 95% 95% 93% | 47% 47% 45% Lessa Living Seed 52 137k 178k | 0% 0% 0% | 48% 48% 0% | 23% 23% 0% Lessa Nourish 159 1227k 2057k | 67% 44% 1% | 81% 79% 81% | 40% 38% 41% Lessa Regrowth 73 492k 850k | 60% 40% 3% | 81% 76% 84% | 42% 43% 42% Lessa Tranquility 34 220k 392k | 0% 0% 0% | 88% 88% 0% | 44% 44% 0% Mirilyn Death Coil 1 2k 4k | 0% 0% 0% | 100% 100% 0% | 50% 50% 0% Mirilyn Fel Synergy 497 305k 557k | 0% 0% 0% | 83% 83% 0% | 45% 45% 0% Mirilyn Leeching Swarm 65 81k 81k | 0% 0% 0% | 0% 0% 0% | 0% 0% 0% Mirilyn Master Healthstone 1 6k 12k | 100% 57% 0% | 100% 0% 100% | 43% 0% 43% Mirilyn Soul Leech 137 236k 409k | 0% 0% 0% | 75% 75% 0% | 42% 42% 0% Nassah Healing Touch 9 190k 222k | 22% 33% 0% | 33% 43% 0% | 15% 22% 0% Nassah Lifebloom 245 1501k 2376k | 13% 9% 0% | 70% 65% 100% | 37% 34% 48% Nassah Living Seed 200 688k 832k | 0% 0% 0% | 34% 34% 0% | 17% 17% 0% Nassah Master Healthstone 1 4k 4k | 0% 0% 0% | 0% 0% 0% | 0% 0% 0% Nassah Nourish 536 4963k 6119k | 40% 41% 0% | 33% 27% 41% | 19% 16% 22% Nassah Regrowth 218 1492k 2355k | 42% 33% 0% | 66% 60% 73% | 37% 34% 39% Nassah Swiftmend 139 1614k 1882k | 14% 15% 0% | 40% 40% 42% | 14% 15% 13% Reanimated Ancestral Awakening 102 234k 318k | 0% 0% 0% | 42% 42% 0% | 26% 26% 0% Reanimated Chain Heal 1243 8553k 13725k | 43% 33% 0% | 66% 61% 73% | 38% 35% 40% Reanimated Earth Shield 123 535k 618k | 27% 35% 0% | 29% 29% 30% | 13% 17% 9% Reanimated Healing Wave 3 32k 50k | 0% 0% 0% | 67% 67% 0% | 35% 35% 0% Reanimated Leeching Swarm 65 79k 79k | 0% 0% 0% | 0% 0% 0% | 0% 0% 0% Reanimated Lesser Healing Wave 100 706k 1160k | 60% 44% 10% | 70% 60% 77% | 39% 35% 41% Reanimated Riptide 109 474k 743k | 42% 33% 0% | 71% 65% 78% | 36% 35% 38% Semirhagge Death Pact 1 13k 13k | 0% 0% 0% | 0% 0% 0% | 0% 0% 0% Semirhagge Death Strike 1 3k 3k | 0% 0% 0% | 0% 0% 0% | 0% 0% 0% Semirhagge Leeching Swarm 61 83k 83k | 0% 0% 0% | 0% 0% 0% | 0% 0% 0% Semirhagge Unholy Strength 353 397k 665k | 28% 22% 0% | 71% 70% 72% | 40% 40% 40% Themanone Beacon of Light 228 1761k 3132k | 0% 0% 0% | 90% 90% 0% | 44% 44% 0% Themanone Flash of Light 169 900k 1557k | 58% 39% 0% | 84% 73% 92% | 42% 39% 44% Themanone Holy Light 47 717k 1309k | 51% 34% 0% | 94% 96% 92% | 45% 45% 45% Themanone Holy Shock 22 150k 257k | 50% 35% 0% | 91% 91% 91% | 42% 40% 42% Touchmyclam Healing Touch 1 10k 21k | 0% 0% 0% | 100% 100% 0% | 50% 50% 0% Touchmyclam Living Seed 24 60k 80k | 0% 0% 0% | 46% 46% 0% | 25% 25% 0% Touchmyclam Nourish 71 470k 700k | 51% 41% 0% | 58% 46% 69% | 33% 25% 37% Touchmyclam Regrowth 38 233k 399k | 53% 37% 0% | 84% 72% 95% | 41% 41% 42% Utholas Beacon of Light 324 3669k 6664k | 0% 0% 0% | 88% 88% 0% | 45% 45% 0% Utholas Crazy Alchemist's Potion 3 13k 23k | 33% 24% 0% | 100% 100% 100% | 43% 37% 50% Utholas Flash of Light 188 1163k 2072k | 40% 28% 0% | 83% 79% 88% | 44% 42% 46% Utholas Glyph of Holy Light 459 792k 1431k | 0% 0% 0% | 79% 79% 0% | 45% 45% 0% Utholas Holy Light 182 3027k 5562k | 47% 31% 0% | 96% 95% 96% | 46% 45% 46% Utholas Leeching Swarm 52 73k 73k | 0% 0% 0% | 0% 0% 0% | 0% 0% 0% Utholas Rejuvenation Potion 2 9k 12k | 50% 50% 0% | 50% 100% 0% | 25% 50% 0% Utholas Seal of Light 24 21k 38k | 0% 0% 0% | 83% 83% 0% | 45% 45% 0% Xaali Ancestral Awakening 284 1475k 1677k | 0% 0% 0% | 23% 23% 0% | 12% 12% 0% Xaali Chain Heal 798 6010k 9060k | 34% 29% 0% | 68% 61% 80% | 34% 32% 36% Xaali Earth Shield 332 1584k 1944k | 36% 41% 0% | 38% 34% 45% | 19% 17% 20% Xaali Healing Wave 173 3993k 4291k | 33% 39% 0% | 17% 13% 26% | 7% 6% 8% Xaali Lesser Healing Wave 294 2341k 3044k | 52% 48% 0% | 38% 30% 46% | 23% 19% 25% Xaali Riptide 305 1655k 1999k | 27% 31% 0% | 31% 29% 39% | 17% 17% 18% Ãndras Ancestral Awakening 18 36k 44k | 0% 0% 0% | 28% 28% 0% | 17% 17% 0% Ãndras Chain Heal 271 1744k 2881k | 38% 27% 0% | 76% 76% 75% | 39% 39% 40% Ãndras Earth Shield 4 14k 14k | 75% 82% 0% | 0% 0% 0% | 0% 0% 0% Ãndras Lesser Healing Wave 4 28k 56k | 50% 31% 0% | 100% 100% 100% | 50% 50% 50% Ãndras Riptide 35 177k 271k | 46% 37% 0% | 69% 74% 62% | 35% 38% 32% |
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04/11/10, 9:38 PM
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#59 | |
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Don Flamenco
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04/11/10, 11:48 PM
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#60 |
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Don Flamenco
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