From f94cbcecee0db4847314f72b340d2e85d9566d99 Mon Sep 17 00:00:00 2001 From: Brian W Bush Date: Wed, 30 Oct 2024 08:27:18 -0600 Subject: [PATCH] ALBA analysis (#59) * elaborated assessment criteria * ALBA computations based on real-life stake distribution. --- Logbook.md | 53 +- analysis/stake_distribution.ipynb | 1178 +++++++++++++++++++++++++++++ analysis/stake_distribution.sql | 22 + analysis/unique-votes-leios.png | Bin 0 -> 353632 bytes 4 files changed, 1251 insertions(+), 2 deletions(-) create mode 100644 analysis/stake_distribution.ipynb create mode 100644 analysis/stake_distribution.sql create mode 100644 analysis/unique-votes-leios.png diff --git a/Logbook.md b/Logbook.md index 321fac9..1cb5e1b 100644 --- a/Logbook.md +++ b/Logbook.md @@ -1,8 +1,38 @@ # Leios logbook +## 2024-10-30 + +### ALBA voting + +The Jupyter notebook [analysis/stake_distribution.ipynb](analysis/stake_distribution.ipynb) (view [here](https://nbviewer.org/github/input-output-hk/ouroboros-leios/blob/stake-analysis/analysis/stake_distribution.ipynb)) analyzes the implications of the Cardano mainnet stake distribution upon the number of unique votes and votes for a Leios voting round. + +Leios needs to ensure the impossibility of an adversarial quorum, but it can accept adversarial activity causing quorum failures, since the latter just lowers throughput slightly. Hence we require a 60% quorum and 92% availability of honest votes, and set the committee size to 500 votes. An ALBA security parameter of 80 may provide adequate security. This translates to the following ALBA parameters and security for Leios. + +- $n_f = 0.60$ +- $n_p = 0.92$ +- $l_\text{sec} = 80$ +- $n_\text{votes} = 500$ +- $2^{-l_\text{sec}} = 8.27 \cdot 10^{-25}$ +- $u_\text{ALBA} = 148$ +- probability of adversarial quorum + - 35% adversarial stake: $p = 1.71 \cdot 10^{-21}$ + - 40% adversarial stake: $p = 7.69 \cdot 10^{-13}$ + - 45% adversarial stake: $p = 2.87 \cdot 10^{-7}$ +- probability of honest quorum + - 35% adversarial stake: $p = 0.917$$ + +The plot below shows the number of votes that would have to be included in an ALBA certificate for Leios, given those parameters. If votes are 700 bytes each, then we have the following: + +- Incoming to node which creates a certificate: 500 votes of 700 bytes = 350 kB. +- Contents of ALBA certificate: 140 votes of 700 bytes = 98 kB. + +The alternative is to use BLS certificates, which have higher CPU load but smaller size. + +![Number of unique votes in ALBA certificate for Leios](analysis/unique-votes-leios.png) + ## 2024-10-29 -### Team Meeting +### Team meeting Agenda: @@ -26,7 +56,7 @@ Agenda: * *important* : fees are always paid, even if tx is not included in the ledger * Q: what about multiple tokens per UTxO? * grinding with people trying to overload one shard? - * # shards w.r.t IB rate => decrease probability of concurrent IBs for the same shard + * \# shards w.r.t IB rate => decrease probability of concurrent IBs for the same shard * challenges: * a tx could be discarded but its fees would still be paid * pb in the case of apps which use "concurrent" state machine advance pattern -> perhaps this should not be free in the first place? @@ -70,6 +100,25 @@ Discussion #53 proposes assessment criteria for the continuation of Leios after ![Leios Assessment Criteria for PI8](https://github.com/user-attachments/assets/e94287fe-0ad6-4805-98da-21cbbd134361) +The diagram above illustrates a techno-economic business case for Leios adoption that sheds light on the following questions. + +1. What is the practical maximum throughput of Leios? +2. How far does that fall short of the theoretical maximum throughput? +3. How much would Leios transactions have to cost for SPOs to make a reasonable profit? +4. What is the worst-case bound for the throughput vs cost profile of Leios? +5. How does Leios compare to other blockchains? +6. Given current throughput targets, how much would Leios allow us to lower hardware requirements? +7. Given current hardware requirements, how much would Leios allow us to increase throughput? +8. What are the maximum limits Leios allows us to achieve at the maximum limits of currently available commodity hardware? + +We could consider the following goals for January 2025. + +- *Technical goal for PI8:* Estimate a reasonably tight upper bound on the cost of operating a Leios node, as a function of transaction throughput, and estimate the maximum practical throughput. + - Target level: SRL2 +- *Business goal for PI8:* Identify (a) the acceptable limit of transaction cost for Cardano stakeholders, (b) the maximum throughput required by stakeholders, and (c) the throughput-cost relationship for other major blockchains. + - Target level: IRL3 +- *Termination criteria for Leios:* Transaction costs are unacceptably high for Leios or the practical maximum throughput fails to meet stakeholder expectations. In this case the Leios protocol may need reconceptualization and redesign, or it may need to be abandoned. + ### Haskell Simulation * First batch of praos visualizations: diff --git a/analysis/stake_distribution.ipynb b/analysis/stake_distribution.ipynb new file mode 100644 index 0000000..f2a8c6d --- /dev/null +++ b/analysis/stake_distribution.ipynb @@ -0,0 +1,1178 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "1fd18a3a-6d0b-446e-b12c-b06ec8677ee4", + "metadata": {}, + "source": [ + "# Cardano Mainnet Stake Distribution: Implications for Voting\n", + "\n", + "This notebook is best viewed at https://nbviewer.org/." + ] + }, + { + "cell_type": "markdown", + "id": "343223b4-93bc-40c9-a27c-aefad1c0d232", + "metadata": {}, + "source": [ + "## Set up" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "40b0b34d-4c94-4396-b24d-07904ce50f36", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Loading required package: bit64\n", + "\n", + "Loading required package: bit\n", + "\n", + "\n", + "Attaching package: ‘bit’\n", + "\n", + "\n", + "The following object is masked from ‘package:base’:\n", + "\n", + " xor\n", + "\n", + "\n", + "Attaching package bit64\n", + "\n", + "package:bit64 (c) 2011-2017 Jens Oehlschlaegel\n", + "\n", + "creators: integer64 runif64 seq :\n", + "\n", + "coercion: as.integer64 as.vector as.logical as.integer as.double as.character as.bitstring\n", + "\n", + "logical operator: ! & | xor != == < <= >= >\n", + "\n", + "arithmetic operator: + - * / %/% %% ^\n", + "\n", + "math: sign abs sqrt log log2 log10\n", + "\n", + "math: floor ceiling trunc round\n", + "\n", + "querying: is.integer64 is.vector [is.atomic} [length] format print str\n", + "\n", + "values: is.na is.nan is.finite is.infinite\n", + "\n", + "aggregation: any all min max range sum prod\n", + "\n", + "cumulation: diff cummin cummax cumsum cumprod\n", + "\n", + "access: length<- [ [<- [[ [[<-\n", + "\n", + "combine: c rep cbind rbind as.data.frame\n", + "\n", + "WARNING don't use as subscripts\n", + "\n", + "WARNING semantics differ from integer\n", + "\n", + "for more help type ?bit64\n", + "\n", + "\n", + "Attaching package: ‘bit64’\n", + "\n", + "\n", + "The following object is masked from ‘package:utils’:\n", + "\n", + " hashtab\n", + "\n", + "\n", + "The following objects are masked from ‘package:base’:\n", + "\n", + " :, %in%, is.double, match, order, rank\n", + "\n", + "\n", + "Loading required package: data.table\n", + "\n", + "\n", + "Attaching package: ‘data.table’\n", + "\n", + "\n", + "The following object is masked from ‘package:bit’:\n", + "\n", + " setattr\n", + "\n", + "\n", + "Loading required package: ggplot2\n", + "\n", + "Loading required package: magrittr\n", + "\n" + ] + } + ], + "source": [ + "require(bit64)\n", + "require(data.table)\n", + "require(ggplot2)\n", + "require(magrittr)" + ] + }, + { + "cell_type": "markdown", + "id": "0bfcef88-7e72-43d3-a0bb-45ecd19187c5", + "metadata": {}, + "source": [ + "## Query `cardano-db-sync`\n", + "\n", + "```sql\n", + "select\n", + " epoch_no as \"Epoch\"\n", + " , encode(hash_raw, 'hex') as \"Pool\"\n", + " , sum(amount) as \"Stake [Lovelace]\"\n", + " , sum(amount) / total_stake as \"Stake [Fraction]\"\n", + " from epoch_stake\n", + " inner join pool_hash\n", + " on epoch_stake.pool_id = pool_hash.id\n", + " inner join (\n", + " select epoch_no, sum(amount) as total_stake\n", + " from epoch_stake\n", + " group by epoch_no\n", + " ) stake_total\n", + " using (epoch_no)\n", + " group by epoch_no, hash_raw, total_stake\n", + ";\n", + "\n", + "\\copy stake_distribution to 'stake_distribution.csv' csv header\n", + "```" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "fac0831e-6aa8-4a8f-9fe0-8e66250d63d0", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + " Epoch Pool Stake [Lovelace] \n", + " Min. :210.0 Length:820505 Min. : 16 \n", + " 1st Qu.:308.0 Class :character 1st Qu.: 2488192396 \n", + " Median :377.0 Mode :character Median : 154548144737 \n", + " Mean :376.6 Mean : 8594972171029 \n", + " 3rd Qu.:447.0 3rd Qu.: 4577810115154 \n", + " Max. :518.0 Max. :486514766981074 \n", + " Stake [Fraction] \n", + " Min. :0.000e+00 \n", + " 1st Qu.:1.040e-07 \n", + " Median :6.740e-06 \n", + " Mean :3.766e-04 \n", + " 3rd Qu.:1.983e-04 \n", + " Max. :3.107e-02 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "stakeDistribution <- fread(\"http://ipfs.functionally.io/ipfs/QmbnnWaaKTQddiefiEUxruh2w2wa6eFn9FFb7y82wm3ubz\")[order(`Epoch`, `Stake [Lovelace]`)][`Stake [Lovelace]` > 0]\n", + "stakeDistribution %>% summary" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "70bfa97b-d333-4566-96d3-29e54be4ba54", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
A data.table: 6 x 4
EpochPoolStake [Lovelace]Stake [Fraction]
<int><chr><int64><dbl>
518fa58244068bef886049b3e8fbba8aa39f227ce78168efdf7629111c5 741578347569440.003313531
518cdb10209d937fc1559c635e35b9147febde5307b4a7d276f868775cd 742326235035380.003316872
5187b75bdba3b996dc88fdc00099d794d1460cf6bf7a5997a0da1197f4e 744243624240730.003325440
518ad3d89ffc0e5347b94e61b8f61a672b5d2fa6d37e815fa3f217123a2 758567889164170.003389444
518a10865dae2d543ee9f13e98bff70ea81565bb6e4343b15b765f78174 766462675771450.003424719
518fcc675f8266022c4a0f8a7f1e24b00896fd742b35f147304c23544421005295522058320.004491875
\n" + ], + "text/latex": [ + "A data.table: 6 x 4\n", + "\\begin{tabular}{llll}\n", + " Epoch & Pool & Stake {[}Lovelace{]} & Stake {[}Fraction{]}\\\\\n", + " & & & \\\\\n", + "\\hline\n", + "\t 518 & fa58244068bef886049b3e8fbba8aa39f227ce78168efdf7629111c5 & 74157834756944 & 0.003313531\\\\\n", + "\t 518 & cdb10209d937fc1559c635e35b9147febde5307b4a7d276f868775cd & 74232623503538 & 0.003316872\\\\\n", + "\t 518 & 7b75bdba3b996dc88fdc00099d794d1460cf6bf7a5997a0da1197f4e & 74424362424073 & 0.003325440\\\\\n", + "\t 518 & ad3d89ffc0e5347b94e61b8f61a672b5d2fa6d37e815fa3f217123a2 & 75856788916417 & 0.003389444\\\\\n", + "\t 518 & a10865dae2d543ee9f13e98bff70ea81565bb6e4343b15b765f78174 & 76646267577145 & 0.003424719\\\\\n", + "\t 518 & fcc675f8266022c4a0f8a7f1e24b00896fd742b35f147304c2354442 & 100529552205832 & 0.004491875\\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "A data.table: 6 x 4\n", + "\n", + "| Epoch <int> | Pool <chr> | Stake [Lovelace] <int64> | Stake [Fraction] <dbl> |\n", + "|---|---|---|---|\n", + "| 518 | fa58244068bef886049b3e8fbba8aa39f227ce78168efdf7629111c5 | 74157834756944 | 0.003313531 |\n", + "| 518 | cdb10209d937fc1559c635e35b9147febde5307b4a7d276f868775cd | 74232623503538 | 0.003316872 |\n", + "| 518 | 7b75bdba3b996dc88fdc00099d794d1460cf6bf7a5997a0da1197f4e | 74424362424073 | 0.003325440 |\n", + "| 518 | ad3d89ffc0e5347b94e61b8f61a672b5d2fa6d37e815fa3f217123a2 | 75856788916417 | 0.003389444 |\n", + "| 518 | a10865dae2d543ee9f13e98bff70ea81565bb6e4343b15b765f78174 | 76646267577145 | 0.003424719 |\n", + "| 518 | fcc675f8266022c4a0f8a7f1e24b00896fd742b35f147304c2354442 | 100529552205832 | 0.004491875 |\n", + "\n" + ], + "text/plain": [ + " Epoch Pool \n", + "1 518 fa58244068bef886049b3e8fbba8aa39f227ce78168efdf7629111c5\n", + "2 518 cdb10209d937fc1559c635e35b9147febde5307b4a7d276f868775cd\n", + "3 518 7b75bdba3b996dc88fdc00099d794d1460cf6bf7a5997a0da1197f4e\n", + "4 518 ad3d89ffc0e5347b94e61b8f61a672b5d2fa6d37e815fa3f217123a2\n", + "5 518 a10865dae2d543ee9f13e98bff70ea81565bb6e4343b15b765f78174\n", + "6 518 fcc675f8266022c4a0f8a7f1e24b00896fd742b35f147304c2354442\n", + " Stake [Lovelace] Stake [Fraction]\n", + "1 74157834756944 0.003313531 \n", + "2 74232623503538 0.003316872 \n", + "3 74424362424073 0.003325440 \n", + "4 75856788916417 0.003389444 \n", + "5 76646267577145 0.003424719 \n", + "6 100529552205832 0.004491875 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "stakeDistribution %>% tail" + ] + }, + { + "cell_type": "markdown", + "id": "e8fa7fff-634c-45aa-8a14-1ab7ed4b98a1", + "metadata": {}, + "source": [ + "## Plot the stake distribution by epoch" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "3b0569dd-8fd7-4744-b0bf-0039114f47a7", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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iSWjWJDisGOiIioKUhbDOui05gW7KSE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\n4z8FEkUEE1yxG9++j0ZMJ1UxJRtnJITOZJNkmTOXKQtBGlOIyKMrgiSTZCb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+ "text/plain": [ + "plot without title" + ] + }, + "metadata": { + "image/png": { + "height": 420, + "width": 420 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "ggplot(\n", + " stakeDistribution[\n", + " `Epoch` %in% c(300,350,400,450,500),\n", + " .(`Pools`=rank(.I), `Cumulative Stake [%/100]`=cumsum(`Stake [Fraction]`)),\n", + " by=.(`Epoch`=factor(`Epoch`))\n", + " ],\n", + " aes(x=`Pools`, y=`Cumulative Stake [%/100]`, color=`Epoch`)\n", + ") +\n", + " geom_line()" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "bcf37143-6507-44b3-9e56-be78721c13f8", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "ggsave(\"stake_distribution.svg\", width=8, height=6, units=\"in\", dpi=200)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "b8cfa416-8531-478a-80f0-54096eb30a9b", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "ggsave(\"stake_distribution.png\", width=8, height=6, units=\"in\", dpi=200)" + ] + }, + { + "cell_type": "markdown", + "id": "e143291b-cadb-4ae5-93ad-f60af5020d6c", + "metadata": {}, + "source": [ + "## Number of unique nodes in voting committee\n", + "\n", + "Let $p$ be the probability that a unit of stake (i.e., one lovelace in Cardano) will be selected in the voting lottery and let $S$ be the total staked. Let $n$ be the desired mean number of votes in the lottery. Hence $p = n / S$.\n", + "\n", + "A candidate node $i$ with $s_i$ staked to it has a binomially distributed number of votes, with mean $p \\cdot s_i$. The probability $v_i = 1 - \\left( 1 - p \\right)^{s_i}$ that the node has any votes at all.\n", + "\n", + "We want to know how many distinct nodes vote in a given round. If the random variable $\\mathbf{V}_i$ is distributed according to the Bernoulli trial with probability $v_i$, then $\\mathbf{V} = \\sum_i \\mathbf{V}_i$ is the committee size. This will differ from the number of votes because some nodes might have multiple votes.\n", + "\n", + "It's feasible to numerically sample $\\mathbf{V}$, but simply computing its mean and standard deviation is insightful. The mean is $\\mu = \\sum_i v_i$ and the variance is $\\sigma^2 = \\sum_i v_i \\cdot \\left( 1 - v_i \\right)$.\n", + "\n", + "Below we estimate $\\mu$ and $\\mu \\pm 2 \\sigma$ for the empirical distribution of stake." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "88d41487-194a-4f71-9222-6fd821d249ec", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "# Statistics for a mean committee size `n` and a stake distribution `stake`.\n", + "committee <- function(n, stakes) {\n", + " p <- n / sum(stakes)\n", + " v0 <- (1 - p)^as.numeric(stakes)\n", + " v1 <- 1 - v0\n", + " meanC <- sum(v1)\n", + " sdC <- sum(v0 * v1) %>% sqrt\n", + " list(`μ`=meanC, `μ-2σ`=meanC-2*sdC, `μ+2σ`=meanC+2*sdC)\n", + "}" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "0495cd22-381a-4e91-96e2-8856db540e2b", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "voteplot <- function(n)\n", + " \n", + "ggplot(\n", + " melt(\n", + " stakeDistribution[, committee(n, `Stake [Lovelace]`), by=.(`Epoch`)], \n", + " id.vars=c(\"Epoch\"), \n", + " measure.vars=c(\"μ+2σ\", \"μ\", \"μ-2σ\"),\n", + " variable.name=\"Statistic\",\n", + " value.name=\"Number of Unique Nodes in Committee\"\n", + " ),\n", + " aes(x=`Epoch`, y=`Number of Unique Nodes in Committee`, color=`Statistic`)\n", + ") +\n", + " geom_line() +\n", + " ggtitle(paste(\"Unique voters for\", n, \"votes\"))" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "ec08167b-7c02-4c0d-8bc2-435d97177df7", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": 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+AcNwEIabcO5QX73FtJU1PL91uvEMtSH19Sj4kdQh6GiR1CfR6pqwVVvRaJkRIc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\n88/fv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tIkshw/ZLg0dGSvlrZGXgATO4SugFZWMMs/0leUAQC1+trn3aJERBFZJpXlnVfu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\nMbMq8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+ "text/plain": [ + "plot without title" + ] + }, + "metadata": { + "image/png": { + "height": 420, + "width": 420 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "voteplot(1000)" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "43bf13dc-1c79-4cb5-bb0c-4917a16cd6f9", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "ggsave(\"committee_statistics-1000.png\", width=8, height=6, units=\"in\", dpi=200)" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "0f2ffdd1-4726-4192-b2ae-2301cd781d65", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "ggsave(\"committee_statistics-1000.svg\", width=8, height=6, units=\"in\", dpi=200)" + ] + }, + { + "cell_type": "markdown", + "id": "5ac092cf-f19c-4c46-99a8-6cc41f8bcef4", + "metadata": {}, + "source": [ + "## Investigate the case of uniformly distributed stake\n", + "\n", + "The worst-case scenario for number of unique nodes is when stake is uniformly distributed." + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "8ff58ef7-c9ea-41a4-9c4a-236d2c2d0ac2", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "uniformStake <- \n", + " CJ(`Mean Number of Votes`=c(100,200,300,400,500,600,700,800,900,1000), `Number of Block Producers`=c(500,1000,1500,2000,2500,3000,3500,4000))[,\n", + " committee(`Mean Number of Votes`, rep(stakeDistribution[`Epoch` == 500, sum(`Stake [Lovelace]`)] / `Number of Block Producers`, `Number of Block Producers`)),\n", + " by=.(`Mean Number of Votes`, `Number of Block Producers`)\n", + " ]" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "fb307426-3e68-4ae1-b533-81c22c9fe418", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": 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VZW1qNHj9o9xK+//nr+/Hnq6/r6+jVr1nA4nNGjR6s+8VbDurq6vvLKKzt27Kio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TFY2J27e0Wu3UMjoTl4vZawghfn629pga\njcaIiIj6+vqBZ2NpsXLlSoVCQW9MC5VKJZPJOHulmAO7mBcsWPDNN9/cunXr+vXrZrN5woQJ\nUVFRKFAMAGDbD11+XMjtALhGIBDk5+eXlpbSOxl28ODBQeXx3Ipjx9N4PN5jjz322GOPMTQa\nAAAAcB9yuTwhIUGtVtM4DZmZmenj40NXtEEyMjKqqqoYCk4LzLcBAIAzYJsdPEggEDQ2NtK7\nuMxcVkcIKS8v12g0nF2HJUjsAADcwW0ds/t3XQuKnsCwCYXCgIAAzmZ1xNGl2GHTaDQHDx68\ncOGC0Wh84oknVq5cGRkZSQjp6+srLy//8ssvTSbTU089lZOTQx1RcbQdYHQQaFg4P+F8vC4v\nts5PAACMbk6asXvvvfdu3br1xhtvvPPOO76+vr/97W/v3btHCCkrKztz5sxrr72Wn5/f1NT0\n/vvvU693tB0A4KF6ur3ZHgIAALPsSuzOnj0bFRVlqRzoqI6OjosXL65du/bJJ598/PHH33jj\nDSrm/fv36+rqVq9eHR8fP2PGjLVr1/71r3/t6upytH14owIAcBpcLMY1WI2F0cqupdhHHnnk\n+++//8tf/pKbmzuMPvr7+zMzMydMmEA9NZlMRqOxv7//9u3bPT09lgs6pk6d2t/f/9133wmF\nQofaZ8yYQbWcO3eutbWVeuzt7T1nzpxhjBbArfC7eayUsgP3dE0fwp1qds7k5eXF6I5+WlCV\n58DV2ZXYSSQShUKxevXqgwcPvvLKK47WrgsODs7MzKQeGwyGXbt2+fr6PvPMM5cvX/by8hoz\n5ueSuV5eXmPHjr13757BYHCo3dLRsWPHTp48ST0ODAxMSUlxaJwAAKPYbV0gF8oUuyc+n48d\n4eAc9h6eOHr06MSJE7OzswsLC6VSqa+v78Cfnjt37qERzGbzqVOnjhw5IhKJfv/73/v5+ZnN\nZg+PwTX9+/r6HG23PP7lL385d+5c6rFAINBqUREUAACGdvW+1GlXUBiNRoOBtotPbF/nMGxP\nVu+hMdqlpb+iMRrYz97ETqfTSSSSYV9/29XVtW3btrt3777yyivPPvsslZ+JxeLe3t779+9T\naWJfX59OpwsKChozZoxD7ZZeYmJiYmJiLE9pv1IMAFxdT7c3WxeL4f4Jinuuxvb19XE/sYPR\nwd7E7vPPPx92H2az+Z133gkJCfnd734nEAgs7Y8++qi3t/elS5eeeuopQsiVK1eomy28vb0d\nah/2wACALah4wgqsxg7izEk7AOdwrI6dTqf7+9///uOPP86dO1ckEvH5fE9Pz4f+1jfffPPd\nd98tWbLk22+/tTRKpdJx48YlJSUdPHgwKCjIw8PjwIEDc+bMCQwMJIQ42g5uyOdef08gKmwD\nuB5OTdoht4NRxoHE7sCBA4WFhdTGtdOnTxNCMjMzt2/fnpWVZfsXb968aTab33vvvYGNr732\nWkpKyurVq8vKyoqLi/v7+2fOnLl69Wrqp462AwBwH1ZjAYBpHmaz2Z7XHT9+/Pnnn58zZ05e\nXt7SpUtPnz79+OOPv/zyy/X19cePH09OTmZ6oMNA+x67zJBcQojXeAavOzQHMzsB2Rs0htH4\nFIPYSYe/nDZjZwgYfGqHUc6/fIKViicsLsWytc2OEMKFxI4jq7HcmbQjhDA9aZca1qDX6+mK\nRu/NqhStVsvE4QlsB3Q+e2fs/vCHP8TExNTV1Xl5/fwrEomkpqYmPj5+69at3EzsAAAAANyK\nvRMeFy5cSE9Pt2R1P/8yj5eSknLp0iUGBgYAoxyvy0l3VXMKrqCwuKZncPXDUbiIAkYNexO7\nwMDA+/fvP9huMpkw0QoA4EJu63DmDLjCaDTGxsa6UHmyjIwMDw8PDw8Pzt5oam9iN3PmzMOH\nDw+85oEQcvfuXYVCER8fz8DAAACY0tPtzfYQgHMwaceKnTt3xsbGUrsGt27d6jGA5a4Ok8kk\nl8sjIyOlUunatWstFQGttVtjLb5D/ZaXl589e5aJt4IuDuyxmzp16rRp01577TVCyMmTJ2tq\naj744IOenp6tW7cyOUIAgFEFZ2MtOFX3hKD0idP19vaWlpbW1dVRT1UqVUpKSl5eHvXUcteU\nXC6vrq7et28fn8/Pzc3Nyck5dOiQjXZrrMV3qF+hUOjv70/nu0A3exO7qKioM2fOvP7667/9\n7W8JIVQyl5iYuH379okTJzI4QABgHr+bx8rBWGALKhUDFyiVyujoaMuVUSqVavny5QsXLhz4\nGq1WW1ZWVlZWlpqaSgjZvXv3kiVLduzY4evrO2R7SIjVvZtDxne0XxvxOcKBahFTp049ffp0\nZ2fnV1991djY2NXVVV9fP336dOYGBy7Ku7OX7SGAa3DP8xMwEKeOUBAsyDpXbW3t7NmzLU9V\nKlV9fX14eLhYLE5NTW1paSGEXL58WafTzZ8/n3pNYmKiyWRqamqy1m6juyHjO9ov3e8B/Rwr\nA3b79u1jx44plcrjx4+fOHFi0JY7AABXwe42O5yNBSCEnDt3bvLkydRjtVrd2dnJ4/EqKyur\nqqr0ev28efO6u7vb29sFAoFI9HN5T4FAEBgY2N7ebq3dWl/W4jvaL5PvBz0c+Lr8m9/8Zteu\nXUaj0dIiEok2b97861//moGBAbgvgYaFGsXgbrizGouddm7rzp07lmLLIpGora1NIpHweDxC\nyIwZM8LCwpRKpbe3t2XTm4XJZDKbzUO2W+vLWvxly5Y51O/I/mJnsHfGbs+ePdu2bYuNjT15\n8uTdu3d/+OGHEydOyGSyvLy8o0ePMjpEoBG/g7bS5wAAAHTx8vKSSqVUdkUIEYlEkZGRra2t\nEonEYDBQ15kSQkwmk0ajkUql1todje9ov0z87fSyN7ErKyubPHnyF198sXDhwuDg4JCQkEWL\nFv35z3+ePHnyrl27GB0iAMDow4XVWO4UtMNOO/cUGhpqqWCnVCqnTJnS0dFBPdXpdK2trTKZ\nLCYmRigUnjp1impvaGjw9PScNm2atXZrfVmL72i/dL8H9LN3KbalpSU/P9/X13dgo6+v79Kl\nS0tLSxkYGACHeHeZnXxdLDhBT7c3i5fGAsdhQdYJ4uLimpubqcdz5szp6OjIysqSy+W+vr7F\nxcVRUVHJycl8Pj87O7uoqCg8PJzH4xUUFGRmZkokEkKItXaFQqHX69etWzewL2vxe3p6HO2X\n4+ydsZs0aZJlQnIgtVr9xBNP0DokAGABv9uxo1R0wcFYALe1YMGCM2fOUI/9/Pxqamr6+/vT\n09OXLVsWHBxcV1dH1QouKSlZtGhRWlpaSkpKQkLC/v37qV+x1l5RUXHgwIFBfVmLP4x+Oc7D\nbDbb87rKysrc3Nza2tqZM2daGv/yl78sWrSopKSEqlrMNbRfUZIZkksI8RrP4JKBOZjxlZHe\noDFMd0EIMYj5TuiFENIT6KR0xMkzdqwcnmCrlF1/AGv7kVmfseNCpWKOHKEghHDqCAWFrkm7\n1LAGvZ62Lc6WAwc00mq1T1bvoTHgpaW/IoTYvnTUaDRGRETU19dbzsbSZeXKlQqFgt6YFiqV\nSiaTaTSagIAAhroYCVvfld95552BTx955JGEhISkpKSYmBiz2Xzx4sVTp07NnDlzwoQJDA8S\nAAAARhuBQJCfn19aWkrvZNjBgwcHlsdzN7Zm7B486DukpKQky30gnOKKM3aE+Uk7zNgND2bs\nmMPijB1he9IOM3aDjNZJO8zYWWM0GhMSEmpqamj8o3p6enx8fOiKNkhGRkZVVRUhxCVn7Oys\n12Jn/gcA9kMpOzfBhXtjuVPQDtyQQCBobGykNyZzWR0hpLy8nNrAx82sjthO7Dw9PZ02DgBw\nW7wuL3Yn7YA7uFasmOB4LPxfQqGQ7SE8hL3LWG1tbRkZGY8++mjwAx5//HFGhwgAzsHWwVhg\nHXcK2nETytqBC7G30MCaNWtOnjw5c+bMqVOnDlp7xcQeALgu1qvZcWE1llM4OGkH4ELsTewa\nGho+/PDDZcuWMToaAAAADsKCLLgKexO74ODguLg4RocCAABswREKoM6xgquzd0vN4sWLjxw5\nwuhQAMBtufn9E1y4N5ZTuHZ1LAU77cAl2Pthum3btlmzZjU3NycmJo4ZM7gQWlZWFt0DA+AW\nXBc7irG+zY4jMGnn5uLrSmiMdm7+ehqjgf3sTeyOHz9+8eLFc+fO/fd///eDP0ViBzA68Lt5\nbJUpBhiIm0cosNMOuM/exG7z5s1xcXGvv/76lClTUJEYwAlQo9itcORsLCbtHgq5HXCcvYnd\nd99999VXX/3bv/0bo6MBAACgcHPSDoDj7D08ER8f393dzehQAMCdsXt+oqfbm8XewbXgFAVw\nmb2J3datW998883bt28zOhoAALfFkbOxnLqFgpvHYwG4zN6vyO++++4///nP6Ojoxx577MFT\nsU1NTXQPDAAAgKOw0w44y97EzmQyTZw4ceLEiYyOBkYN785eg5jvhI587vX3BOKGUzrhYCzg\nCAWA67I3sfvss88YHQcAALu4UM2OI2djOYWzRygwaUcLo9GYkJBQU1Mzbtw4tsdil4yMjKqq\nKkKIRqMJCAhgezhDwFQHAHCFm98/AS4HpyhGbufOnbGxsVRWt3XrVo8B+Pyfl32stZtMJrlc\nHhkZKZVK165dazA8/IuZQqGIi4vz9/dPSkpSqVS24wzZXl5efvbsWdrfBxrZ+zH65JNPWvvR\n008//cEHH9A0HgD4F5SyA7ZwajWWs5N2MEK9vb2lpaV1dXXUU5VKlZKSkpeXRz21FM211i6X\ny6urq/ft28fn83Nzc3Nycg4dOmSjO4VCkZeXV1paGhkZ+fvf//7555//9ttvPT09rcUZsl0o\nFPr7+zPxbtDF3sQuMjJy4FODwXD9+vWbN28+/fTT8fHx9GsKGXQAACAASURBVI8LAMAtYTXW\ntWBBdiSUSmV0dHRMTAz1VKVSLV++fOHChYNeNmS7VqstKysrKytLTU0lhOzevXvJkiU7duwI\nCRn6JLXZbN6yZcuWLVuys7MJIRMnTiwsLGxtbQ0KChoyjq+vr0PxucPepdjP/q/a2tobN24c\nP37822+/nTBhAqNDBABwDlSzGwh1T4BptbW1s2fPtjxVqVT19fXh4eFisTg1NbWlpcVG++XL\nl3U63fz586nXJCYmmkwmGzU6rl692tLSsnTp0v7+/rt37z7yyCMff/xxZGSktTiOxueOEe2x\nS05OXrdu3fbt2+kaDQCXeXeZ2R4CAHAOdtoN27lz5yZPnkw9VqvVnZ2dPB6vsrKyqqpKr9fP\nmzevu7vbWnt7e7tAIBCJft6tIhAIAgMD29vbrfXV1tbm5eV15MgRkUg0fvx4qVRaXV1NCLEW\nx9H43DHSrcoTJkzYu3cvLUMBAI5gseIJr8urP8DEStfcwZ3VWOy0A0bduXPHchhWJBK1tbVJ\nJBIej0cImTFjRlhYmFKpXLZs2ZDt3t7eD95cbzJZ/fRQq9Umk+mrr766dOlSYGDg7t27X3zx\nxQsXLpjN5iHjWGsf4Z/sBCOasevr66uurh47dixdowEAAHA5mLQbOS8vL6lUSmVvhBCRSBQZ\nGdna2mqtXSKRGAwGrfbnr0Amk0mj0UilVv+HCA4OJoTs2bMnIiLC399/w4YNEomkpqbGWhxH\n43OHvYnd8w9ISUmZOHHi8ePHMzIyGB0iAIDTYJsdgNOEhoaq1WrqsVKpnDJlSkdHB/VUp9O1\ntrbKZDJr7TExMUKh8NSpU1R7Q0ODp6fntGnTrPUlk8l4PF5nZyf11GQy3b9/XyQSWYvjaHzu\nsHcptq2t7cHG0NDQrKyst99+m9YhAQC4O6zGDonLq7E4HjsMcXFxzc3N1OM5c+Z0dHRkZWXJ\n5XJfX9/i4uKoqKjk5OSenp4h2/l8fnZ2dlFRUXh4OI/HKygoyMzMlEgkhBCFQqHX69etWzew\nr/Dw8PT09BUrVmzbti0gIKCkpMTLy2vx4sX+/v7W4lhr5zh7EzuXOAkCMPqglB2Aq0Bu56gF\nCxbs3LmTeuzn51dTU1NYWJienj5mzJikpCSFQsHn8/l8/pDthJCSkpI33ngjLS2tr69v8eLF\nu3btokJVVFSo1epBiR0hRKFQFBYWZmdn63S6Z5555vTp02Kx2EYca+0c52E2j9qDfpYJXrpk\nhuQSQrzGM3vq3hzMbImB3qAxjMa3cM5dsYQQZ94VawgYvJfWCVhJ7Fi8Lpb1wxOsXyxG4ciM\nHYU7k3aEEM5O2hFCrCV2qWENer2erl6YuH1Lq9XG15XQGPDc/PWEED8/PxuvMRqNERER9fX1\nlrOxdFm5cqVCoaA3poVKpZLJZJy9UszWjJ2N2yYGuXTpEh2DAQCucOeDsVy4NJZwaTUW7IdJ\nO4cIBIL8/PzS0tL9+/fTGPbgwYMDy+O5G1uJ3UOPu3777bddXV20jgcAAMAWLu+0A0fJ5fKE\nhAS1Wk3jNGRmZqaPjw9d0QbJyMioqqpiKDgtbCV2X331lbUf/fDDD0VFRV9//bVYLN6yZQsD\nAwMAAK7g1BEKjsOknUMEAkFjYyO9MZnL6ggh5eXlBw4cIIRwcx2WDKOOXX9//549e2Qy2ZEj\nR7Kzs1Uq1Zo1a5gYGQCAm/uhy9b+JHeGG8aALUKhMCAggLNZHXE0sTt//vzMmTPXrVv36KOP\nNjQ0/OlPf2JiCyeAQ3zusbbNH0YrVLN7EKeujuU41CsGFtmb2Gk0mnXr1s2cOVOlUu3cubOx\nsfEXv/gFoyMD4CBcF+scvK6R3nYIox7HJ+2Q2wFb7ErsDh8+/MQTT+zZsycjI+Pq1avr16/3\n8sLHrqvid9B25B5GN3638+rIgEvApB0A9z0kP2tubv7Vr37117/+9fHHH6+oqEhKSnLOsADA\nAjWK3RmKntjA8eOxLneKgqo8B67O1jfy3/zmN9OnTz937tzmzZsvXbqErA4A3Ae22bkEji/I\nAjifrZsnPDzsLbLPzesrcPOENc65fMJpN08QXD7BGHe+f4LgCgoruFb3hMuTduR/76JwiZsn\nUs9uojGg8qn/IA+7eQKYYGspdvXq1U4bBwDAQKzfP8EdWI21jeMLsgBOZiux++CDD5w2DgAA\ncAkoVuwQl9tpB64Op96AKd6dvWwPAUbKzQ/GYpudq+D4TjuUPgFncutPbQAAl4ArKADATkjs\nAADAMRwsaMfxSTsAp0FiB+ACBBq2R8AG3D8BAOAoJHYAAFZxZ5sd11ZjMWkHwE1I7AAcg+ti\nATgLuZ3LMRqNsbGxtNedZU5GRoaHh4eHh0dXVxfbYxkaEjsAABgODk7agcvZuXNnbGyspeSy\nQqGIi4vz9/dPSkpSqVRUo8lkksvlkZGRUql07dq1BoPBdrsNQ8bfunWrxwB8Pt9G/PLy8rNn\nz9L7JtALiR0A2OLmFU84hWursdyESTsX0tvbW1pamp+fTz1VKBR5eXm/+tWvPv30U0LI888/\n39fXRwiRy+UfffTR+++/X1ZWVltbm5OTQ73eWrs11uKrVKqUlJST/+v48eM24guFQn9/f0be\nDppgbzKMBj73+p15qxg4DRfun+jp9ubI3WIAo4xSqYyOjo6JiSGEmM3mLVu2bNmyJTs7mxAy\nceLEwsLC1tbWoKCgsrKysrKy1NRUQsju3buXLFmyY8cOX1/fIdtDQobO7K3Fj4yMVKlUy5cv\nX7hw4cDXa7Vah+JzB/4tBACAYeLmaiwm7VxFbW3t7NmzqcdXr15taWlZunRpf3//3bt3H3nk\nkY8//jgyMvLy5cs6nW7+/PnUyxITE00mU1NTk7V2a31Zi08IUalU9fX14eHhYrE4NTW1paWF\nEOJofO5AYgcA4DKwGgujyblz5yZPnkw9bmtr8/LyOnLkiEgkGj9+vFQqra6uJoS0t7cLBAKR\nSES9TCAQBAYGtre3W2u31pe1+Gq1urOzk8fjVVZWVlVV6fX6efPmdXd3OxqfO7AUCwAAw8fN\nq2Ov6UMmjrnL9ijgIe7cuWM5NqFWq00m01dffXXp0qXAwMDdu3e/+OKLFy5cMJvNHh4eg37R\nZDJZa7fWl7X4EydObGtrk0gkPB6PEDJjxoywsDClUunt7e1QfO7AjB2Aa3DPGsUcwZ1qdmA/\nLMi6luDgYELInj17IiIi/P39N2zYIJFIampqJBKJwWDQarXUy0wmk0ajkUql1todje/l5SWV\nSqmsjhAiEokiIyNbW1sdjc8dSOwA4CHYPRiL+ycGwWosjBqhoaGWCnYymYzH43V2dlJPTSbT\n/fv3RSJRTEyMUCg8deoU1d7Q0ODp6Tlt2jRr7db6shZfqVROmTKlo6ODatfpdK2trTKZzNH4\n3IFPTAAAGBFursYSLMhyXlxcXHNzM/U4PDw8PT19xYoV27ZtCwgIKCkp8fLyWrx4sb+/f3Z2\ndlFRUXh4OI/HKygoyMzMlEgkhBBr7QqFQq/Xr1u3bmBf1uLz+fyOjo6srCy5XO7r61tcXBwV\nFZWcnMzn863F5zjM2AEAAAALFixYcObMGctThULx1FNPZWdnL1y4UKfTnT59WiwWE0JKSkoW\nLVqUlpaWkpKSkJCwf/9+6vXW2isqKg4cOPBgd0PG9/Pzq6mp6e/vT09PX7ZsWXBwcF1dHVWj\n2Fp8jvMwm0ft/Ui0X1GSGZJLCPEaz+y+DXMw4+UDeoPGMN0FxSDmO6cjQogz69gZAgbvqHUO\no4iVbgkhpNe/n7W+CWG9lB2FU9Xsxgdo2R7CYNyctCOEcGHS7o3oj/R6PV3RLAcOaKTValPP\nbqIxoPKp/yCE+PnZ2jlgNBojIiLq6+stZ2PpsnLlSoVCQW9MC5VKJZPJNBpNQEAAQ12MBGbs\nAByG62KdDNvsAEYlgUCQn59fWlpKb9iDBw9ayuO5ISR2AABAA24WKyY4Hsttcrm8sbGR3hW2\nzMzMVatW0RhwoIyMDJlMxlBwWiCxA4CHw42xXIOzsTA6CASCxsZGeheXfXx8aIw2SHl5uUaj\n4ew6LEFiB+BCUMqOXahm57owaQd0EQqFAQEBnM3qCBI7AACgC2dXYwlyO3AbSOwAwAXg/MSD\nsBoLAA/CZyUAANCGs8WKCeoVPwxVoARcHWbsAADshW12AMBxSOyAQd6dvU7ry+cemxV0AVjB\nzdVY7LQDYBGWYgHALvxuHrv3T/C6vDhyBQXAqLTuynoao+2eVEJjNLAfZuwAAMCNYNIORjck\ndgAADuDaNjusxg4DcjsYxZDYAQwHW9fFokYxAADYgMQOAADoh0k7AFYgsQMAl4EyxUPi5mos\nALACiR3nePzI0dqeAPxufGIQwr1tdjA8mLSDUQkf0+6I36FnewgAMPpxfDUWuMBoNMbGxqrV\narYHYq+MjAwPDw8PD4+uri62xzK00ZzY+dCN7T8IAGBoWI0dHqdN2nl5eeEfoyHt3LkzNjZ2\n3Lhx1FOFQhEXF+fv75+UlKRSqajGrVu3egzA5/OpdpPJJJfLIyMjpVLp2rVrDQaDjY6qq6s9\nHvDqq6/aiDNke3l5+dmzZxl6N2gxmjeseHp6sj0EAKAZR8oU93R7+/jb+lcEKFy+OpbinAtk\nPTw88E/Sg3p7e0tLS+vq6qinCoUiLy+vtLQ0MjLy97///fPPP//tt996enqqVKqUlJS8vDzq\nZR4eHtQDuVxeXV29b98+Pp+fm5ubk5Nz6NAha30988wzJ0+etDw1Go0rV65cvHixjThDtguF\nQn9/f4beEFp4mM3sVG1wAtqndjNDcgkhXuMZ/4ZnDmZ8/aI3aAzTXVAMYr5zOiKE9AQ6dQba\nEODhzO4GMorY6pkQQti9f4IQwoXEjhDCwcRufICW7SEMjeO5HSGE6dzujeiP9Hra9sBY5rdo\npNVqmbh5ws/P1lzyJ5988t577zU0NBBCzGazTCbLy8v79a9/TQhpbW0tLCzcvn17ZGTkL37x\ni+XLl7/++uuDBhwWFlZWVpaRkUEI+fzzz5csWdLW1hYSYte/0e++++6PP/5YWlpqLY6vr6+1\n+CqVSiaTaTSagICAYb47TBrNS7EAMCpx5GwsB49QcHZBlvub7XCQghW1tbWzZ8+mHl+9erWl\npWXp0qX9/f1379595JFHPv7448jISEKISqWqr68PDw8Xi8WpqaktLS2EkMuXL+t0uvnz51O/\nnpiYaDKZmpqa7OlXpVJVVlZu27bNRpyRxGcXEjsYPXzuOXUmia0axQCuCLkdPOjcuXOTJ0+m\nHre1tXl5eR05ckQkEo0fP14qlVZXVxNC1Gp1Z2cnj8errKysqqrS6/Xz5s3r7u5ub28XCAQi\n0c/rFwKBIDAwsL29/aGdms3mnJycd955x9vbmxBiLc6w47OOE198AcCF8Lt5rK/GYqedNT90\n+XF2QZb7nLPfDizu3LljWVZWq9Umk+mrr766dOlSYGDg7t27X3zxxQsXLkycOLGtrU0ikfB4\nPELIjBkzwsLClEqlt7e3ZbOdhcn08I+Fw4cPd3d3UwushBCz2TxkHGvtw/gznQwzdgCuBxeL\ngQ1YkB0JzNuxJTg4mBCyZ8+eiIgIf3//DRs2SCSSmpoaLy8vqVRKZXWEEJFIFBkZ2draKpFI\nDAaDVvvz1xiTyaTRaKRS6UM7KikpWbNmjeWptTjDjs86JHYA4JKw084VuUpuh/TOOUJDQy3H\nHGUyGY/H6+zspJ6aTKb79++LRCKlUjllypSOjg6qXafTtba2ymSymJgYoVB46tQpqr2hocHT\n03PatGm2e/zyyy+vXLmSlZVlabEWZ3jxuYATn4wwinl39jrzYCw4BxdWY8EGLi/Icr8ACgXL\nsk4QFxfX3NxMPQ4PD09PT1+xYsW2bdsCAgJKSkq8vLwWL17M5/M7OjqysrLkcrmvr29xcXFU\nVFRycjKfz8/Ozi4qKgoPD+fxeAUFBZmZmRKJhBCiUCj0ev26dese7PHo0aMzZ84ceJrV39/f\nWhxr7RyHGTsAcFWYtLOBswuyxEXm7QiWZZm3YMGCM2fOWJ4qFIqnnnoqOzt74cKFOp3u9OnT\nYrHYz8+vpqamv78/PT192bJlwcHBdXV1VI3ikpKSRYsWpaWlpaSkJCQk7N+/n4pTUVFx4MCB\nIXs8ceLEnDlzBjVai2OtneNQx84BqGM3PKO4lB1x42p2hAMF7Qhq2j0MZ+ftiCsUt6PQMm+H\nOnZDMhqNERER9fX1lrOxdFm5cqVCoaA3pgXq2AE4j5MrngDrMGnnujBvBwKBID8/v7S0lN6w\nBw8etJTHc0NI7AAARi0uL8gS5HZAiFwub2xspHeFLTMzc9WqVTQGHCgjI0MmkzEUnBZI7ABc\nFetFT/jdnPgAwaSdbcjtaIHcjiECgaCxsZHexWUfHx8aow1SXl6u0Wg4uw5LcCoWAADAHlRu\nh6Oybk4oFLI9hIfgxBduANfl5heLYdJuIEzaDY+rTNpRMHUHHMeJD2UAAGAUcjsaIbcDLkNi\n5zDTD5iHB65gfZsdd2DS7qGQ29EIuR1wFic+CsH5+B16Z5ayg1EMt1AM0tPtzdmydhznKpdS\nUEbf1RRU5TlwdZixA8Z5d/Y6szuUsnNbHJm04zKOT9oRzNsBjBg+BwFGyrvLzOL9E1yASbtB\nuDxpx+VrZCmYt2PLrttZNEYriKigMRrYDzN2AK4N2+wG4s6kHZc323Ef5u0Ahg2JHQAAIzib\n23F/QZa4YG6H9A44AokdANCAIwXtCJcm7bjMJXI7l4PcDriAK5/FAC7NzcsUgzWcnbRzCa41\naUdBbgesQ2IH4PKwzW4QTk3acTa3c4lJO+R2AI5CYgejECqesII7q7Fcg9xuJJDbATgEH8QA\nMApxatKOy5DbMQS5HbAFiR3AaMCR1VhM2lnD2Uk7V4HcbrQyGo2xsbFqtZrtgdgrIyPDw8PD\nw8Ojq6uL7bEMDZ/CAPTA+Qmu4dqkHWdzO5eYtCMum9shvbNt586dsbGx48aNq66u9njAq6++\nSggxmUxyuTwyMlIqla5du9Zg+Ln6t7X2IdmIv3Xr1oGNfD7fRvzy8vKzZ88y+6aMDLc++AAA\naMTr8uoPMLE9in/h7I0U3L+OguJal1JYILezpre3t7S0tK6ujhDyzDPPnDx50vIjo9G4cuXK\nxYsXE0Lkcnl1dfW+ffv4fH5ubm5OTs6hQ4dstA/JRnyVSpWSkpKXl0f9yMPj55uEhowvFAr9\n/f3pfy/o42E2j9ppBtqndjNDcqkHXuOZ/X+pOdgZX0x7g8Y4oRcLg5jvzO56AlmYjWb3YjGj\niMXO/w9OXS/GqcSOEMLNxI7iErkdIcQVc7v/mvJHvV5PV7Rx48bRFcpCq9UycaWYn5+t+eBP\nPvnkvffea2hoePBH77777o8//lhaWqrVasPCwsrKyjIyMgghn3/++ZIlS9ra2nx9fYdsDwmx\n6x9oS3xCyC9+8Yvly5e//vrrA19grd+QkBCVSiWTyTQaTUBAgL1vhxNhKRZglODINjuuwYKs\n/VxlTRZGjdra2tmzZz/YrlKpKisrt23bRgi5fPmyTqebP38+9aPExESTydTU1GSt3Z5+B8an\nntbX14eHh4vF4tTU1JaWFhv9juwvdgYkdjA6oeIJi3CEwjbkdiN0Wxfoivvt4EHnzp2bPHny\noEaz2ZyTk/POO+94e3sTQtrb2wUCgUj085KEQCAIDAxsb2+31v7QTgfFV6vVnZ2dPB6vsrKy\nqqpKr9fPmzevu7t72PFZx63vskDx+PGec1ZjgV7eXWZ2V2NhSFzbacdx2G8HTnPnzp0Hl5UP\nHz7c3d1NLYASQsxms2XTm4XJZLLW/tBOB8UXiURtbW0SiYTH4xFCZsyYERYWplQqvb29hxef\ndfhiDQDgbFyetCMuMm9HXPOcLDxUSUnJmjVrLE8lEonBYNBqf/6yYTKZNBqNVCq11u5ofC8v\nL6lUSmV1hBCRSBQZGdna2jrs+KxDYue++B207eQFjuDONjuurcZybacdQW5HE+R2Li00NHTQ\nMccvv/zyypUrWVn/OsYRExMjFApPnTpFPW1oaPD09Jw2bZq1dts9PhhfqVROmTKlo6ODeqrT\n6VpbW2Uy2fDicwHnPuwAANwEZ6ufUFxoTZa45lFZiIuLa25uHthy9OjRmTNnDjxt6u/vn52d\nXVRUFB4ezuPxCgoKMjMzJRIJIcRau0Kh0Ov169ate7DHB+PPmTOno6MjKytLLpf7+voWFxdH\nRUUlJyfz+Xxr8TmOW9+qAQAYwsFJO+5zlXk7gqk717RgwYIzZ84MbDlx4sScOXMGvaykpGTR\nokVpaWkpKSkJCQn79++33V5RUXHgwIEhe3wwvp+fX01NTX9/f3p6+rJly4KDg+vq6qgaxdbi\ncxzq2DnAaXXsyGgsZefkOnaEpVJ2BNXsBuBUQTvCvZp2FC5P2lFcYt6Owtl5O9SxG5LRaIyI\niKivr3/wbOwIrVy5UqFQ0BvTAnXsAMB5uLPNjoO4OWnH8c12BPN2wBiBQJCfn09VCabRwYMH\nhyyP5yaQ2MGohVJ2rOPaEQrOQm5HI1S5cy1yubyxsZHeFbbMzMz/3969x0VV7vsD/65hZoBB\nYLgoEqh4S1JSU8s0FRNSUFBSEdjmy0tamlurTRzb5n7tbFun0y6N0rwewCxrp4h5TE09m33S\nY3lLt6k5Hq8byxvIAKIMzOX3x6r1m4ABBtbMWutZn/erP5g18KxnnGbx4ftc1rPPPitig87S\n09NjY2M91LgocNkFL/G9Uyd1FwBkWrRTBAVlO0LpTjn0ev3x48fFHVz28/MTsbV6Nm7caDab\nZTsOSwh2AOzBaKwSyb9oR8h2AEQGgyE4OFi2qY4Q7ABE51vB7IKkVpDhaKxsi3bIdqJDtgMV\nkt01FwBAtZDtRIcpd6A2CHYA4Fko2rFHWdmOULoDNcHVDYBBerO8NrSDlpP57SiU6+rdENnu\ncicT/M5zoHSy+0saQERS7XiCaXbyJ+eiHQZkPQR1O1AD+V7aAIAZukqN3O5CAW2nlJvJOsON\nZZuw59ZIEVtL6vAPEVuDlkPFDgBUCkW7tlNi3Y5QugOmIdgBsAm72Skdsp1HIdsBqxDsAMAb\nZLg2luRdtCNkOw9DtgMmyfFSC8AArJ8AVVFutkO8A8Yg2Kmarqzam6fD7WJVDkW7VlBK0Y4U\nm+0IpTtgixyvswAgCkyzYwOynRcg2wEzEOyAcVJtZQcKIvOiHSHbeQWyHbABwQ4AvEeeo7Eg\nLkVnO8Q7L6utrR04cGBpaanUHWmp9PR0juM4jquoqJC6L43DRRbAU7B+QkFQtBOXcrMdoXTn\nXcuXLx84cGB4eHhhYSHXwMyZM4no7bffdj6o0+n4n7VardnZ2TExMVFRUXPnzrVYmrkX382b\nN6dNmxYREREeHp6RkVFSUtJ0O40e37hx45EjRzz1zyEGuV/LAKAtZHjTWNyFotWUdRtZJd6X\nQoAby3pHXV1dbm7uvn37iGjYsGF79uwRnqqtrZ0xY8b48eOJyGQyjRs3bsGCBfxTHMfxX2Rn\nZxcWFq5Zs0an082bN2/OnDkff/xxE6ebMmVKZWXl2rVrtVrtsmXLUlNTT5482UQ7jR43GAxB\nQUGe+fcQB+dwMFtUEL20m9VhHv+FNqKDuC035GjvpT8Z68ICvHMiniVU583T8WpCJKtMW4I5\nqU4tkFuwIyLZBjt7sFXqLjRPQdmOiJSb7UjUO4+t7fthdbVouxCEh4eL1ZSgqqrKE7cUCwxs\nqnZbVFT03nvvHTx4sOFTy5Ytu337dm5uLhENHTo0IyPjxRdfrNfhBx54IC8vLz09nYh27949\nYcKEa9eudejQ+C/ompoag8Hw2WefZWRkENFXX32VkpJy48YNg8HQaDv+/v6u2jeZTLGxsWaz\nOTg4uFX/Np6FoVgAAPAUpY/JYljWo/bu3Tt8+PCGx00m0+bNm9955x3h4f79+6Ojo0NDQ1NS\nUs6fP09Ep0+fvnv37lNPPcV/T0JCgtVqPXHihKtz+fn5DRs2LD8/32QyXbx4cf369X379o2I\niHDVjrvtyweCHQDjZLjpiWyXUMh/ph0pbbIdKTzbEabcedLRo0f79OlT76DD4ZgzZ87SpUt9\nfX2JqLS09M6dOxqNZvPmzVu3bq2urh41alRlZeX169f1er3R+MuQhF6vDwkJuX79ehOnKyws\nPHbsWGxsbI8ePYqLi7/66isictVOK9qXCQVcxQDayK/cLtVorG+FQw6jscAYZU22I4XPtyNM\nufOYGzduNBxW3rRpU2VlJT8ASkRGo/HatWuRkZEajYaIBgwY8MADD+zcudPX11eYbCewWl3O\npqiurk5ISEhKSlq0aJGPj09ubm5iYuK3337rcDgabcfV8Va8TC+T6d/NAACSUETRTolQt4MW\nWrFixXPPPSc81Gq1UVFRfKojIqPRGBMTU1JSEhkZabFYqqp++YPBarWazeaoqChXze7evfvK\nlSsFBQUPP/xw796916xZU1VVtWPHDlftuNu+fCDYgVfhrmLAk+1orFIobkCWmMh2iHfi6tix\nY71ljocOHTp79uzUqVOFIzt37uzbt29ZWRn/8O7duyUlJbGxsXFxcQaDobi4mD9+8OBBHx+f\n/v37uzpXbW2t3W63239ZuWW32202m8VicdWOu+3LB/42BWCfDDc9kTNNhVYRy2MVNyBLyh+T\nJQzLimrQoEFnzpxxPrJt27bBgwc7rzaNj48vKyubOnVqdna2v7//m2++2bVr17Fjx+p0ulmz\nZuXk5ERHR2s0mpdeeikrKysyMpKICgoKqqur58+f79xyUlJScHBwZmbmokWLOI774IMPbDbb\n+PHjg4KCXLXj6rjM4Y9mAJCGnIt2ShmQRd1OEqjbiWX06NEHDhxwPrJr1674+HjnI4GBgV9/\n/bXdbp88efKUKVPat2+/b98+fo/iFStWJCcnp6WlKGbhhwAAIABJREFUjRs3bsiQIevWreN/\n5NNPP92wYUO9c4WGhvLlt9TU1OTkZLPZXFxc3LFjxybacXVc5rCPnRu8uY8deWsrOy/vY0fq\n28qOsJuda7Ld0I4UsqcdKW1bO4HS63bk5i532MeuUbW1tV26dNm/f3/DtbFtNGPGjIKCAnHb\nFGAfOwAA5UHRDpqGKXdtp9frFy5cyO9CLKL8/PxGt8dTCQQ7UAW/cvlWhrxDhrvZkbxHYxVE\nidmOgQFZHrJdG2VnZx8/flzcEbasrKxnn31WxAadpaenx8bGeqhxUeCqCgDQOKUU7QjZTlLI\ndm2h1+uPHz8u7uCyn5+fiK3Vs3HjRrPZLNtxWEKwA12ZaNM+wBXfCmZnsrYdinZqhmwHimMw\nGIKDg2Wb6gjBDgCgCSjaeRpL2Q7xDuQAwQ5ALeQ5zQ5EhGwnOWQ7kByCHQBITOajsQoq2hGy\nnQwg24G0lHTBAgAAVjFwUwqBQu9Owe88B0on6z+UgUnqvF2sTNZPYDS2dVC08w7G6nYo3YEk\nlHS1AmgLv3K7tPefgCboKjVyvguF4ijxNrI8lup2pLTSXYlZzO3ZOhnPidgatBx+zwEANE9Z\nRTtFY6luR5hyB16HYAegLrIdjZX5EgrFUe6ALCHbAbQBrqQAAC2iuKIdsh2ACiHYAXiJTNZP\ngKog2wGoDYIdgOpgNLbVFFe0UzpkOwB3yf0yCgAAbaHooh0h2wG4CcEOVMSvHBtqyB2Kdp6A\nbAegHnK/hgKAJ8h2NBY8BNkO5Km2tnbgwIGlpaVSd6Sl0tPTOY7jOK6iokLqvjQOwQ7Ae7B+\ngg1KLNoxANmOScuXLx84cGB4eDgR3bx5c9q0aREREeHh4RkZGSUlJfz3WK3W7OzsmJiYqKio\nuXPnWiyWpo+74qr9t99+m3Oi0+maaH/jxo1HjhzxxD+FWHB5Agn43qmzhOqk7gXIFO5C4SHK\nvR2FgLH7UkBdXV1ubu6+ffv4h1OmTKmsrFy7dq1Wq122bFlqaurJkyeJKDs7u7CwcM2aNTqd\nbt68eXPmzPn444+bOO6Kq/ZNJtO4ceMWLFjAfxvHcfwXjbZvMBiCgoI892/Sdgh2ACqlN1Ot\nUepOKJamQmsPtkrdC7ch24Gs7Ny5s3v37nFxcURUU1Nz4MCBzz77LC0tjYg4jktJSbl586bB\nYMjLy8vLy0tJSSGiVatWTZgw4d133/X392/0eIcOHRo9l6v2IyIiTCZTRkbGmDFjnL+/qqrK\nrfblA0OxQLqyaqm7AABeovTJdoQxWYbs3bt3+PDh/Nd+fn7Dhg3Lz883mUwXL15cv3593759\nIyIiTp8+fffu3aeeeor/toSEBKvVeuLECVfHXZ3LVftEZDKZ9u/fHx0dHRoampKScv78eSJy\nt335QMUOwKt8KxyWYE7qXsidIkZjFVq0YwPqdmw4evToSy+9JDwsLCx86KGHYmNjiSgoKOjM\nmTNEdP36db1ebzT+Mr6g1+tDQkKuX79eXV3d6PEmTtdo+6WlpXfu3NFoNJs3b7ZarX/5y19G\njRp19uxZV+cV/19BbKjYgbpgxxNnWBurTgwU7Qh1OybcuHGDXzZBRNXV1QkJCUlJSadOnTpz\n5kxmZmZiYmJ5ebnD4RAmvQmsVqur467O5ap9o9F47dq1oqKiESNGjBo1qqio6M6dOzt37nS3\nffnwasXOarVOnz59zZo1gYG/fCBtNtvGjRsPHTpktVofe+yxOXPm8KtR3D0OAIxB0c6jGJhs\nR79mO5Tu2LB79+4rV658//33Wq2WiNasWRMdHb1jx46ePXtaLJaqqio+OVitVrPZHBUVFRwc\n3Ohxd9ufPn26808ZjcaYmJiSkpLhw4e71b58eKliZ7PZrl69mpubW1X1m09gXl7egQMHnn/+\n+YULF544cWLlypWtOw4AAOqE0p1ydezYUdjBrra21m632+2//Dlnt9ttNpvFYomLizMYDMXF\nxfzxgwcP+vj49O/f39VxV+dy1f7OnTv79u1bVlbGH797925JSUlsbKy77cuHl4Ldl19+uXTp\nUn5dseD+/fv79u2bPXv2o48+OmDAgLlz537zzTcVFRXuHvfOSwBgEkZj20i5e9qxMSDLQ7ZT\nqEGDBvET3YgoKSkpODg4MzPz8OHDR44cmT59us1mGz9+fFBQ0KxZs3Jycr7//vuTJ0++9NJL\nWVlZkZGRro4TUUFBwapVq+qdy1X78fHxZWVlU6dO3bdv38GDB9PT07t27Tp27Ngm2pc5LwW7\niRMn5uXl/fnPf3Y+ePXq1ZqaGiH/9uvXz263X7x40d3jQoM///zzj786f/68Vmxe+acC9mGb\n4haS/+3FlI6xbCfneKfRaPDLqKHRo0cfOHCA/zo0NJQvj6WmpiYnJ5vN5uLi4o4dOxLRihUr\nkpOT09LSxo0bN2TIkHXr1vE/4ur4p59+umHDhnrnctV+YGDg119/bbfbJ0+ePGXKlPbt2+/b\nt4+f5eWqfZmT8v+P8vJyrVYbEBDwS1e02nbt2pWXl1ssFreOCw1+9NFHe/bs4b8OCQkR9jwE\nAPAc5c60I1Ym2wlku1rW19fX15edGC2WlJSU+fPnnzlzpk+fPkT04IMPbtu2reG3abXa999/\n//3332/h8X379s2YMaNhO67aj4uL27t3b8vPK3NSBrtGl5zYbDZ3jwtfjxgxgt+Thoj8/f3v\n378vdpd/Yb15Sxsh9y0KZU7Cm0/4ldtrQlAK+v/kvFOxIpZQkPKzHRExE++Eup2sEp7Vaq2r\nqxOrNX9/f7GakpZer1+4cGFubq64xbD8/HxhezwVkjLYhYaG1tXV3b9/n/9/1Gaz3b17Nyws\nLCAgwK3jQoOjR48ePXq08FBBNxVuFHe73NE+ROpegEfIbTc7mWc7IpJ/vOMn2yHeyYesEl5d\nXV11tWhbwTMT7IgoOzt7yJAhpaWlwr4nbZeVleXn5ydWa/Wkp6dv3brVQ42LQsq6RefOnX19\nfX/44Qf+4dmzZzUaTbdu3dw9Lk3v2aK2m0/IYTc7uc20k/kqCqXMt1PuWgpeTaUv/5/UHRET\nP/1OzjPw1Eyv1x8/flzEVEdEnkt1RLRx40az2Ww2m4ODgz13lraQ8hpkMBgSExPz8/PDwsI4\njtuwYUN8fHxISAgRuXscQIlkWLcjQumurZReuuOxV8AjmdXwQKEMBoPUXWiGxH9czp49Oy8v\n780337Tb7YMHD549e3brjoMSSTjNDpog52FZUtSsO2Il3hG7CY8Q8oA5nMMhr/EgEYk+xy6r\nwzzha+8snvDmHLu6sACvnUsgbbCTyRIKWRXtBHLOdjxFxDue0uOdgLF4V49HE96eoW+IOMdO\n3IFLXlVVVYk5VsQGOxnPEZFwoynwGmVPBwFggNwGZHkyr9uRckp3xEr1jtgt4PEwUAtsQLCD\nX+jKqiUp2klIPvueINu1jlJm3fGYiXfE6Aw8gWoTHl9jA6VDsAMpYZqdzMk/25GiSnfEYrwj\nJDwAOUGwA1VD0a5ZyHaewFK8I9YLeKSaxRYB1QNFbK064LiIrUHLIdgByAWyXVsoa1iWx2S8\nI6YTHqGMB7Ini1oFuMLdLm/+m6Bt5LBZsUBuuxYLZL59sUAp+xg701Rolb6tcT3sbXHcKOx7\nDPKkvIsgeI4k95/wvSPa/RPBoxSU7RDv5IDJm1g0CgkPZEV5lz8A0aFo10JKyXakzNIdsRjv\nSDUFPELCA3lg7QoCwADZTrYj2d92zJkSZ93xGJt7x1PJDDyeShZbgDwp8o9aYIwcRmNlVbQj\nedftCKU7r2CyekdqKuDxUMMDL2PwqgEAXqCIpbI85ZbuiNHqHamsgAfgTUr9WxY8RJL1EzKB\nop27FFS3IyWX7ojd6h2pr4AH9dTW1g4cOFD0e7t7Tnp6OsdxHMdVVFRI3ZfGKfhKB8A8ZDtx\nKXTBrID5eIeEp0LLly8fOHBgeHg4Ed28eXPatGkRERHh4eEZGRklJSX897z99tucE53ul/sV\nWa3W7OzsmJiYqKiouXPnWizNVH//9a9/ZWRktG/fvlOnTrNmzaqsrGy6nUaPb9y48ciRI574\npxCLgq9xwBI5TLOTJ2Q70Sk62xHT8Y5QwFOZurq63NzchQsX8g+nTJly+vTptWvXFhQUXL16\nNTU1lT9uMpnGjRu351dfffUVfzw7O/tvf/vbypUr8/Ly9u7dO2fOnCbOVV1dPWrUqHv37v3X\nf/3Xpk2bzp07N3HixKbbafS4wWAICgryxL+GWJi9OgC0gnzuMKYsCppvx1P0rDseq3PveJiB\npxI7d+7s3r17XFwcEdXU1Bw4cOCzzz5LS0sjIo7jUlJSbt68GRERYTKZMjIyxowZ4/yzVVVV\neXl5eXl5KSkpRLRq1aoJEya8++67HTp0aPRcX3/99U8//XTq1CmDwUBEX3zxRadOnX744YeY\nmJhG2/H393erffnA7zC5w80nQP5FO1Jg3Y6UX7qjX6t3KOCBQu3du3f48OH8135+fsOGDcvP\nzzeZTBcvXly/fn3fvn0jIiKIyGQy7d+/Pzo6OjQ0NCUl5fz580R0+vTpu3fvPvXUU/yPJyQk\nWK3WEydOuDpXRUWFXq/39/fnH4aEhGg0mtOnT7tqx9325UPx1zUQnZrXT5D8llDwkO08ROmz\n7gRqiHdIeOw5evRonz59hIeFhYXHjh2LjY3t0aNHcXExP+RaWlp6584djUazefPmrVu38iOq\nlZWV169f1+v1RuMvgwV6vT4kJOT69euuzjVq1Cir1bp48WKz2fzzzz/PnTvXbrffvHnTVTvu\nti8fLFzRJGG9eUvqLrAG0+yahmznOWxkO2I93hEKeMy5ceMGv2yCiKqrqxMSEpKSkk6dOnXm\nzJnMzMzExMTy8nKj0Xjt2rWioqIRI0aMGjWqqKjozp07O3fudDgcHFd/I3er1eXkhC5dumzZ\nsuWTTz4JCQnp1q1bTExMSEhIeHi4q3bcbV8+GLmcAYhInkU7pVButkO8UwqhgIeQx5Ldu3df\nuXKloKDg4Ycf7t2795o1a6qqqnbs2KHVaqOiojSaXz6eRqMxJiampKQkMjLSYrFUVf1yYw+r\n1Wo2m6Oiopo4xdixY0tKSn7++efKyso//vGPZrM5OjraVTutaF8mGLmQAaiBIop2RKQ3Kzje\nSd0F0TAf73hIeIrWsWNHYQe72tpau91ut//yd7XdbrfZbBaLZefOnX379i0rK+OP3717t6Sk\nJDY2Ni4uzmAwFBcX88cPHjzo4+PTv39/V+e6detWVlbWuXPnIiMj9Xr99u3bw8PDhw4d6qod\nd9uXD/Y/9tAKurLqurAA75/X906dJVTn/fM2JNvlsXK+jWw9ilsqy9NVahS9WrYethfPOnPO\ndlhLqxSDBg06c+YM/3VSUlJwcHBmZuaiRYs4jvvggw9sNtv48eMDAgLKysqmTp2anZ3t7+//\n5ptvdu3adezYsTqdbtasWTk5OdHR0RqN5qWXXsrKyoqMjCSigoKC6urq+fPnO5+rQ4cO586d\nmz179l/+8peysrKFCxcuWrRIr9fr9XpX7bg6LnNy/NUFAE1QSt2OMCwrGyqp3gkwVqsUo0eP\nPnDgAP91aGgoXx5LTU1NTk42m83FxcUdO3YMDAz8+uuv7Xb75MmTp0yZ0r59+3379vF7FK9Y\nsSI5OTktLW3cuHFDhgxZt24d39Snn366YcOGhqcrKioKDAycMGHCG2+8sWTJkpycHP64q3Zc\nHZc5zuFQzC8Jd4l+i5KsDvOcH2ojvLSZjaN9iHdO5EySih1PJkU7IpJn0Y6IlFK04ymxbsdj\nqXQnUEP1zhUJK3knknOqq0XbcEBYcCCiqqqqgOqBIjZYHXCciAIDA5v4ntra2i5duuzfv995\nbawoZsyYUVBQIG6bApPJFBsbazabg4ODPXSKtpDp7y0AaIKCinak2LodsVi6I/VV75yhkic3\ner1+4cKFubm54jabn58vbI+nQqxdswBEJOflsch2XsNetiN1xzseEp5MZGdnHz9+XNwRtqys\nrGeffVbEBp2lp6fHxsZ6qHFRMHjBYo8kN5+QcJtibGjXQsh2XsNk6Y4Q74gIZTyp6fX648eP\nizu47OfnJ2Jr9WzcuNFsNst2HJawKhagabJdHqtECl0nK2BswaxAPStnm4WltdAs/lazcoZg\nB3Ikn31PZE5Bu5/wGMh2xOiiCufSHUIeIeSBYqEUAaBsyhqQJYWPyfKYHJZ1xg/RYpRWgLFa\nUBB8bgGaIf/RWNTtvI/h0p0zIduhhsdju4zHb1ACSifrX1cgLQnXTxCWULCOgbodqaB0J0AN\nryGsugB5wqcUoHko2nkCn+1QulMW1PAaxUAlr+mdhEFBZP27ClQORTu3KG6yHQ+lO4VCDc8V\nVPJAWvhMArSI/It2pMy6HTEx5Y7UV7oToIbXBGQ78D65/6ICADVgo25HqizdCVDDA5AD9V6D\nlEWSm0+Q1OsnSGajsXK+w5hAoQOyxFa2Y/VOFS2EhAcgIfVeegBYhWwnEyqPd4SEByAFVV90\nQBFQtGsFZDv5QAGPkPAAvEjV1xoAhiHbyQ3iHSHhAXie2q8y0CzJp9nJjVKKdorGarYjFPB+\nhYQH4CFqv7iAIshqNFZBlFu0I6azHQ/xjoeEByAuXFZaz3rzltRdAGkoqGiHbCdzKOAJhISH\nkAfQFriagDKgaNdqSs92aoh3hALebyHhAbQaPjYAraGIG1Ewg427yraEkO1UeAeLRuG2FgDu\nwm8maB7WTyidoot2AvVU7whDtA2ghgfQQrhqgGJgNLYt2Mh2pLJ4RxiibQBT8QCahuuFYkh1\nVzFwRUFLKHjMZDtSa7xDwqsHIQ+gIXwYQEl879RZQnVS9wLkQj1z7wR8tsMMvIbqZTvMyQPV\nQrADaD3FLaHwrXBYgjmpeyEy1cY7QsJzDTkPVAvBDlpEV1ZdFxYgdS/kSInZjogQ79iAAl4L\nIeeBeijpFxIAyXIJheIm2xFb8+2cqW3uHQ8z8NyFyXnAMPw/DSACxdXtiN3SHRHpzaor3fFQ\nwGsFFPOAMQh2oDzyXEKhxGxHjM66I7WOzPIwA68tkPNA6RDsANSO7dIdqTXeERKeGJDzQHGU\nV2AAqcjq/hMynGlHypxsJ2B11h2pdeKdM8zAEwsm54H84X9NADEpdECWx+qwLE/l1TtCAU9s\nKOaBPCn1N5A64eYTiqD0uh3DpTtC9Y6IUMDzDOdiHup5ICH8zwdKJc8lFDxF1+2I9dIdoXpH\nRCjgeRiyHUhFwb97wPtkNc1O5hRdtyMVlO4I1btfCdvgoYwHwAB8jEHB5LmEgiXMZztCvPst\nhDwApUOtGMBTlD4gy2N4MxRnGJxtyDnbYbgWQCkU/1sHQM6UPiArUEPpjlC9cw2VPAClwEcU\nlE3+o7HIdoqDeNc0hDwAOcPHEtyD9ROtwFK2Q7wDZwh5AHKDj2KbWG/ekroLoICiHTGU7UhN\npTsiZDs3IOQByAEWTwCA21SyooKHdRWtgIUXAFLB31UKg5tPKBdLRTue2kp3qN61Dip5AN6E\njxmwQBGjscRotkO8g5ZDyAPwNHy0wG1YP9EW7GU7UlnpjhDvRIKQB+AJ+DgBI5RStCNkO1Yg\n3okIIQ9ALFg8ASABNm5KUY+qVlQIsLRCdFh4AdAWCHYAICbfCofash0h3nkMQh6Au1irGYCa\nKWg0lhgdkOWpbUWFAIOzHoXhWoCWQMUOWkNXVl0XFiB1LxSPyQFZgTpLd+S0pzEKeJ7TMNuh\nngfAQ7ADpvjeqbOE6qTuhRuYz3akvll3AufqHUKepzVaxkPaAxVCsAOQGNvZjlRcunOGMp4k\nUNgDFUKwUx7udrmjfYjUvQAxIdupB8p40kLUA+Yh2AFrFDcaqxIqH5ZtFMp4coAxXGAMgh20\nEtZPiIv5oh0PpbtGoYwnNyjsgXIh2AGDFFq0U0+2I5TuXEMZT55Q2AOlQLADkBGVZDtC6a4F\nUMaTPxT2QIYQ7IBNCi3akcqyHaF01zIo4ykFoh5IThW/P8BDdGXVUneBTQzflKIhdd6jotX4\nm1vgFhcKgltlgJfh/zYAkBiyXesg4QFAQwh2wCxl3Tq2HlUV7UjFt5cVBcp4ACBAsAOQKbVl\nO0LpTgxIeAAqh2CnSNztcqm7oAyKLtqRWrMd4p0oUMYDUCcEO2gTrJ/wNBVmO0LpTmxIeADq\ngWDXVtabt6TuAjBOtdkO8U50SHgAzGN5HzutluVXBy2k3A3tgLCPscdg92Mv02g0+JUE3sE5\nHMz+TVxXJ9n8Kq1Wa7VapTq7R2k0Gh8fH5vNZrezWUbCe6dcDL93HMdptVq8d0rEv3d2u91m\ns4nVpk6HP1bBJZb/gKioqJDkvBzHGY1Gqc7uaf7+/gEBAdXV1bW1tVL3xSNCQ0NZfe/8/Pza\ntWt3//79mpoaqfviEQy/d3q9PigoyGKx3Lt3T+q+eITRaKyqqmIytmq1WqPRaLFYqqtFm5Ec\nHh4uVlPAHsyxAwAAAGAEgh0AAAA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+ "text/plain": [ + "plot without title" + ] + }, + "metadata": { + "image/png": { + "height": 420, + "width": 420 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "ggplot(uniformStake, aes(x=`Mean Number of Votes`, y=`Number of Block Producers`, z=`μ`)) +\n", + " geom_contour_filled(binwidth=50) +\n", + " guides(fill=guide_legend(title=\"Mean Number of\\nUnique Nodes\\nin Committee\")) +\n", + " ggtitle(\"Unfiform distribution of stake\")" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "86db6c3b-af77-4b4a-a034-8b0ceeeb7e12", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "ggsave(\"uniform_statistics.png\", width=8, height=6, units=\"in\", dpi=200)" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "77131ef5-8556-4b9b-9b3e-0a03a2a9931a", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "ggsave(\"uniform_statistics.svg\", width=8, height=6, units=\"in\", dpi=200)" + ] + }, + { + "cell_type": "markdown", + "id": "2c337af5-b0e7-42e6-ab45-eaf8d8589d5e", + "metadata": {}, + "source": [ + "## Number of unique votes in certificate" + ] + }, + { + "cell_type": "markdown", + "id": "d33fe69a-fb97-43c7-94e4-9e34b2baff2e", + "metadata": {}, + "source": [ + "We'll employ a monte-carlo simulation to compute the distribution of the number of signed votes in a certificate.\n", + "\n", + "First define a function to perform a Peras or Leios lottery." + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "58931f90-b567-4ac7-a68a-a9015b8e03d4", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "sortition <- function(stakes, n_votes)\n", + " sample(1:length(stakes), n_votes, replace=TRUE, prob=stakes/sum(stakes))" + ] + }, + { + "cell_type": "markdown", + "id": "5e26feb5-301d-4eb2-af81-7d82e9124855", + "metadata": {}, + "source": [ + "Now define a function to compute the number of items included in an ALBA certificate." + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "7a8d615e-b00d-4635-9be2-963c880aaae4", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "alba_u <- function(nf, np, l_sec)\n", + " ceiling((l_sec + log(l_sec, 2) + 5 - log(log(exp(1), 2), 2)) / log(np/nf, 2))" + ] + }, + { + "cell_type": "markdown", + "id": "4e5986fe-7daf-426e-8143-c3c6ac4ade36", + "metadata": { + "tags": [] + }, + "source": [ + "ALBA selects signed votes according to multinomial distribution of vote weights." + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "1912535b-2a1c-433b-9682-9e5bc14a8df1", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "alba_unique <- function(nf, np, l_sec, weights)\n", + " sample(1:length(weights), alba_u(nf, np, l_sec), replace=TRUE, prob=weights/sum(weights)) %>% unique %>% length" + ] + }, + { + "cell_type": "markdown", + "id": "4b4a213e-4512-435c-8012-1dd8755327d2", + "metadata": {}, + "source": [ + "We want to sample this multiple times." + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "d62306da-e87c-408f-92ef-b61529ce7e78", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "alba_votes <- function(nf, np, l_sec, n_votes, stakes, n_samples)\n", + " mapply(\n", + " function(i) alba_unique(nf, np, l_sec, sortition(stakes, n_votes)),\n", + " 1:n_samples\n", + " )" + ] + }, + { + "cell_type": "markdown", + "id": "e3642035-ea26-49b1-ab2a-ae42f8ac70e9", + "metadata": {}, + "source": [ + "### Application to Peras\n", + "\n", + "Because of the intersection argument Peras must have `nf >= 0.75`. Additionally, we choose `np =< 0.80` so that adversaries with less than 20% stake cannot disrupt voting. Given the strength of Peras's other security, an appropriate value for the security parameter is `l_sec = 80`. The Peras CIP recommends `n_votes = 900`." + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "id": "e0d6fc8e-0ecf-4862-81c4-c611c0fe76e3", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "text/html": [ + "8.27180612553028e-25" + ], + "text/latex": [ + "8.27180612553028e-25" + ], + "text/markdown": [ + "8.27180612553028e-25" + ], + "text/plain": [ + "[1] 8.271806e-25" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "n_votes <- 900\n", + "nf <- 0.75\n", + "np <- 0.80\n", + "l_sec <- 80\n", + "2 ^ -l_sec" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "id": "c3294c85-f040-461c-b4bc-c6f892d13d1e", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "text/html": [ + "976" + ], + "text/latex": [ + "976" + ], + "text/markdown": [ + "976" + ], + "text/plain": [ + "[1] 976" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "alba_u(nf, np, l_sec)" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "id": "e10b3075-5ee9-436d-a18d-156c10e92a78", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "perasCertVotes <- stakeDistribution[, .(`Unique votes included in certificate`=alba_votes(nf, np, l_sec, n_votes, `Stake [Fraction]`, 300)), by=.(`Epoch`)]" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "id": "f0d9d482-8fda-4e3a-aa7c-053e6e679ad7", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": 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bsLa+7oFUjY7nQguU9One0YPpk6pEBINxUo1Jl2scxp/8wbDKQZhmgnINn5UqrB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ZGICi2BLVNo2vvnY7H/0DY0eJh1gcURYW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\nxL/od8lbzdPmuqR0hLCmtNA/4hS7+OM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+ "text/plain": [ + "plot without title" + ] + }, + "metadata": { + "image/png": { + "height": 420, + "width": 420 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "ggplot(\n", + " perasCertVotes,\n", + " aes(x=`Epoch`, y=`Unique votes included in certificate`)\n", + ") +\n", + " geom_jitter(size=1, alpha=0.1, shape=16, width=0, height=0.5) +\n", + " ggtitle(paste(\"Peras: n_f =\", nf, \", n_p =\", np, \", l_sec =\", l_sec, \", n_votes =\", n_votes))" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "id": "d5381ed8-ce97-489d-857d-a44889c9fc2d", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "ggsave(\"unique-votes-peras.png\", width=8, height=6, units=\"in\", dpi=200)" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "id": "51027350-f3f2-4903-8174-87f6422b7488", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "ggsave(\"unique-votes-peras.svg\", width=8, height=6, units=\"in\", dpi=200)" + ] + }, + { + "cell_type": "markdown", + "id": "50a62c1e-df4d-4ffb-8565-a8909895f321", + "metadata": {}, + "source": [ + "### Application to Leios\n", + "\n", + "Leios needs to ensure the impossibility of an adversarial quorum, but it can accept adversarial activity causing quorum failures, since the latter just lowers throughput slightly.\n", + "\n", + "We require a 60% quorum and 92% availability of honest votes, and set the committee size to 500 votes. Use the same security parameter as previously." + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "id": "2ca5d2cf-ec35-4290-a42a-f8fdd96fd588", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "nf <- 0.60\n", + "np <- 0.92\n", + "l_sec <- 80\n", + "n_votes <- 500" + ] + }, + { + "cell_type": "markdown", + "id": "a4c67530-b895-4de9-84cf-ef89ded394de", + "metadata": {}, + "source": [ + "Compute the probability of an adversarial quorum when the adversary has 35% of the stake. See <>." + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "id": "ec554f08-b150-46cb-b122-7a200cf51c8d", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "p_adversarial_quorum <- function(f_adversary, f_quorum, n_votes)\n", + " pnorm(f_adversary, f_quorum, sqrt(f_adversary / n_votes))" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "id": "db54e193-4e6a-4d93-9212-ce8a6b12ac7f", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "text/html": [ + "1.70858930066186e-21" + ], + "text/latex": [ + "1.70858930066186e-21" + ], + "text/markdown": [ + "1.70858930066186e-21" + ], + "text/plain": [ + "[1] 1.708589e-21" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "p_adversarial_quorum(0.35, 0.60, 500)" + ] + }, + { + "cell_type": "markdown", + "id": "6ac9e9a1-526f-42db-995c-31e944db2aaf", + "metadata": {}, + "source": [ + "See what happens is the adversary is stronger. We need external requirements to decide what would be acceptable!" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "id": "8dc1a4be-3ba4-4f39-b1c6-20bda31d426a", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "text/html": [ + "7.68729897214026e-13" + ], + "text/latex": [ + "7.68729897214026e-13" + ], + "text/markdown": [ + "7.68729897214026e-13" + ], + "text/plain": [ + "[1] 7.687299e-13" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "p_adversarial_quorum(0.40, 0.60, 500)" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "id": "031f92d5-b78b-451c-9a20-f49ff7d5ed7d", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "text/html": [ + "2.86651571879195e-07" + ], + "text/latex": [ + "2.86651571879195e-07" + ], + "text/markdown": [ + "2.86651571879195e-07" + ], + "text/plain": [ + "[1] 2.866516e-07" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "p_adversarial_quorum(0.45, 0.60, 500)" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "id": "e24222f4-e773-4f44-9783-a1d9b712eda9", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "text/html": [ + "0.000782701129001277" + ], + "text/latex": [ + "0.000782701129001277" + ], + "text/markdown": [ + "0.000782701129001277" + ], + "text/plain": [ + "[1] 0.0007827011" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "p_adversarial_quorum(0.50, 0.60, 500)" + ] + }, + { + "cell_type": "markdown", + "id": "f2a15cbe-5142-4f6b-a734-625b6ff88f4f", + "metadata": {}, + "source": [ + "Compute the probability of an honest quorum when the adversary has 40% of the stake. See <>." + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "id": "f7cba796-567c-43e5-983f-9832fe2c43be", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "p_no_honest_quorum <- function(f_adversary, f_quorum, n_votes)\n", + " pnorm(f_adversary, 1 - f_quorum, sqrt((1 - f_adversary) / n_votes))" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "id": "6c14f86a-a1f8-40af-8260-6f8d1aa316fb", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "text/html": [ + "0.917241070651265" + ], + "text/latex": [ + "0.917241070651265" + ], + "text/markdown": [ + "0.917241070651265" + ], + "text/plain": [ + "[1] 0.9172411" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "1 - p_no_honest_quorum(0.35, 0.60, 500)" + ] + }, + { + "cell_type": "markdown", + "id": "d9cc1b7d-5827-4328-960d-177df8239cfb", + "metadata": {}, + "source": [ + "Thus, there is a tiny chance of an adversarial quorum and the `np = 0.92` is consistent with the 91.7% chance of an honest quorum with a 35% adversary." + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "id": "e711172a-cf86-4adc-98e5-b0a0d56bfa9f", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "text/html": [ + "148" + ], + "text/latex": [ + "148" + ], + "text/markdown": [ + "148" + ], + "text/plain": [ + "[1] 148" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "alba_u(nf, np, l_sec)" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "id": "1e3a6af9-381f-4cbc-b98c-94396adf6fd4", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "leiosCertVotes <- stakeDistribution[, .(`Unique votes included in certificate`=alba_votes(nf, np, l_sec, n_votes, `Stake [Fraction]`, 300)), by=.(`Epoch`)]" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "id": "11b3517f-232b-4b98-adac-45d966cb305d", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + 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MwlAVKr4bUPbKlWd7fxD/Gyp4A0lrE8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KuIUzG4wozOx0P4m+1x3UY21YteAdspLt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\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+ "text/plain": [ + "plot without title" + ] + }, + "metadata": { + "image/png": { + "height": 420, + "width": 420 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "ggplot(\n", + " leiosCertVotes,\n", + " aes(x=`Epoch`, y=`Unique votes included in certificate`)\n", + ") +\n", + " geom_jitter(size=1, alpha=0.1, shape=16, width=0, height=0.5) +\n", + " ggtitle(paste(\"Leios: n_f =\", nf, \", n_p =\", np, \", l_sec =\", l_sec, \", n_votes =\", n_votes))" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "id": "013d7da1-9374-4701-872e-106d05369b20", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "ggsave(\"unique-votes-leios.png\", width=8, height=6, units=\"in\", dpi=200)" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "id": "74859b7a-b319-4b79-b4e4-fed9c2a43c56", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "ggsave(\"unique-votes-leios.svg\", width=8, height=6, units=\"in\", dpi=200)" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "r-minimal kernel", + "language": "r", + "name": "r-minimal" + }, + "language_info": { + "codemirror_mode": "r", + "file_extension": ".r", + "mimetype": "text/x-r-source", + "name": "R", + "pygments_lexer": "r", + "version": "4.2.2" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/analysis/stake_distribution.sql b/analysis/stake_distribution.sql new file mode 100644 index 0000000..d428b1c --- /dev/null +++ b/analysis/stake_distribution.sql @@ -0,0 +1,22 @@ + +drop table if exists stake_distribution; + +create temporary table stake_distribution as +select + epoch_no as "Epoch" + , encode(hash_raw, 'hex') as "Pool" + , sum(amount) as "Stake [Lovelace]" + , sum(amount) / total_stake as "Stake [Fraction]" + from epoch_stake + inner join pool_hash + on epoch_stake.pool_id = pool_hash.id + inner join ( + select epoch_no, sum(amount) as total_stake + from epoch_stake + group by epoch_no + ) stake_total + using (epoch_no) + group 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