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"**WARNING: This work is currently under review. It's claims should be taken with caution. It is only available for interested folks to provide feedback (which is very wellcome!)**\n",
"\n",
"## Abstract\n",
"\n",
"It has been observed that [payments on the Lightning Network fail too often even if several attempts for the delivery of a payment are made](https://youtu.be/zk7hcJDQH-I?si=2k2pRtS5nAKaP92d). Most people believe that depletion of liquidity in channels is a challenge for payment delivery and route discovery. While [depletion can be explained through drain which can be mitigated through various control valves](https://blog.bitmex.com/the-power-of-htlc_maximum_msat-as-a-control-valve-for-better-flow-control-improved-reliability-and-lower-expected-payment-failure-rates-on-the-lightning-network/) there is [research in this repository showing that payment failure rates are expected to happen due to the statistical min cut distribution of all pairs of peers in the network](https://github.com/renepickhardt/Lightning-Network-Limitations/blob/main/likelihood-of-payment-possability/An%20upper%20Bound%20for%20the%20Probability%20to%20be%20able%20to%20successfully%20conduct%20a%20Payment%20on%20the%20Lightning%20Network.ipynb) on the liquidity graph. That observation is independent of the drain in channels and the uncertainty about the liquidity that is part of the protocol.\n",
"\n",
"This notebooks explains how the $2$-party channel design seems to be the main reason for the limited abilities to successfully facilitate payments at a service level objective that is close to $100\\%$. \n",
"\n",
"We introduce a [geometric model](https://en.wikipedia.org/wiki/Algorithmic_Geometry) to study the impact of payment channels to the number of possible wealth distributions of Bitcoins between the users of the Lightning Network. This particular question is interesting because any payment between two peers can be considered as a change in the wealth distribution of the peers. Consequently, the more wealth distributions are possible in a fixed Lighting Network Topology the more payments can be facilitated. The problem of counting how many payments are possible in a given network topology is related to the computationally hard problem of [Counting Integer Flows in Networks](https://arxiv.org/abs/math/0303228). Thus we show that the number of possible wealth distributions can be described by the volume of a [convex polytope](https://en.wikipedia.org/wiki/Convex_polytope) that is defined by the Lightning Network's channel graph. While exact [computation of such volumes](https://en.wikipedia.org/wiki/Convex_volume_approximation) is also computationally challenging it is known that the volumes can be estimated well through [Monte Carlo Simulation](https://en.wikipedia.org/wiki/Monte_Carlo_method). \n",
"\n",
"Besides the $2$-party channel design we show that the low densitiy of the network and the inequality of channel capacities reduces the ability of the network to facilitate payments. However the evidence demonstrated in this notebook suggests that the biggest limitation by far seems to be the two party channel design that is currently being deployed on the network. \n",
"\n",
"We give empirical evidence that the deployment of multiparty channels could allow for service level obejectives close to $100\\%$ even if the network consists of less than $1$ multiparty channel per peer. Under the assumptions that multi party channels don't produce significantly more on chain footprint as the current channels this result would imply that off chain (multiparty) payment channel network could be supported with the given on chain bandwidth and be able to facilitate almost all payments without the necessity to conduct additional on chain transactions for liquidity management and realocation. \n",
"\n",
"In particular we show empirically that when extending the $2$-party channels of a current snapshot of the lighting network to $120$-party channel by randomly adding peers we observe that $100\\%$ of our sampled wealth distributions were feasible in the multi party channel network where $\\0\\%$ of our sampled wealth distributions were feasible in the $2$-party channel design \n",
"\n",
"### Summary of our contributions in this notebook:\n",
"\n",
"* A [Geometric model](https://en.wikipedia.org/wiki/Algorithmic_Geometry) based on convex polytopes to describe the space of wealth solutions that is given by channel graph\n",
"* A [Monte Carlo](https://en.wikipedia.org/wiki/Monte_Carlo_method) based simulation to [estimate the volume of the convex polytopes](https://en.wikipedia.org/wiki/Convex_volume_approximation).\n",
"* An investigation how the topology of the network impacts the number of possible wealth distributions.\n",
"* An argument how the inquality of channel capacities reduces the number of possible wealth distributions\n",
"* A demonstration of how multi party channels allow for more wealth distributions and (potentially) less on chain transactions than the currently deployed 2 party channels.\n",
"* Relation between expected payment failure rates and an inverse power of the number of members in the channel. This is achieved by random walks on the polytope describing the network\n",
"\n",
"\n",
"### Acknowledgements: \n",
"\n",
"Thanks to Stefan Richter, [Christian Kümmerle](https://cci.charlotte.edu/directory/christian-kuemmerle/) and Eduardo Quintana for helpful discussions, insights and feedback while this work was being created. The work is sponsored through a [grant from OpenSats](https://opensats.org/blog/rene-pickhardt-receives-lts-grant) and through [individual patreons](https://www.patreon.com/renepickhardt)."
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"#some libraries that are necessary\n",
"from drs import drs\n",
"import numpy as np\n",
"from math import comb\n",
"import random\n",
"from networkx.readwrite import json_graph\n",
"import json\n",
"import matplotlib.pyplot as plt\n",
"import plotly.express as px\n",
"import scipy\n",
"from scipy.stats import zipf"
]
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"## Modeling Wealth Distributions on the Bitcoin Network as a convex polytope\n",
"\n",
"Let $w_1,\\dots,w_n$ be the wealth of $n$ users, i.e. the number of coins each user owns. Given a fixed number $C$ of coins in circulation the possible wealth distributions may be described by a convex polytope. This is given as the intersection of the hyperplane derrived from the set of zeros of the equation $w_1 + \\dots w_n = C$ with the [half spaces](https://en.wikipedia.org/wiki/Half-space_(geometry)) $w_i \\geq 0$.\n",
"\n",
"* The linear hyperplane $\\{\\vec{w} \\in \\mathbb{Z}^n|w_1 + \\dots + w_n - C = 0\\}$ describes the fact that all coins must be distributed among all users.\n",
"* The $n$ convex half spaces $\\{\\vec{w} \\in \\mathbb{Z}^n | w_i \\geq 0\\}_i$ describe the fact that none of the users may have negative wealth.\n",
"\n",
"In particular it is trivial to see that by construction that the described geometric object is both **convex** and **bounded** which is why - in accordance to the literature we omit this two words but mean them when we speak of (convex) polytopes. \n",
"\n",
"\n",
"***Disclaimer: While low dimensional observations in Geometry may not directly translate to higher dimensions we still use the first part of this notebook to introduce low dimensional examples to give some intuition about this new model of the Lighting Network*** \n",
"\n",
"We start by looking at a low dimensional example of $3$ users that own in total $12$ coins.\n"
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"title": {
"text": "Polytope showing 91 possible wealth distributions of 12 coins between 3 users"
},
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},
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",
"text/html": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"C = 12\n",
"data_x = []\n",
"data_y = []\n",
"data_z = []\n",
"count = 0\n",
"for z in np.arange(0, C+1):\n",
" for x in np.arange(0, C+1):\n",
" for y in np.arange(0, C+1):\n",
" if x+y+z ==C:# Constraint given by the Bitcon Network (and assumption that all coins are distributed amont all users)\n",
" data_x.append(x)\n",
" data_y.append(y)\n",
" data_z.append(z)\n",
" count +=1\n",
"fig = px.scatter_3d(x=data_x, y=data_y, z=data_z,width=900, height=900,\n",
" title= \"Polytope showing {} possible wealth distributions of {} coins between 3 users\".format(count, C))\n",
"fig.show()\n"
]
},
{
"cell_type": "markdown",
"id": "00cd0355-187d-4630-bc52-9f113b1f02fa",
"metadata": {},
"source": [
"We note an analytical closed formular for the number of (blue) dots in this polytope is known. The number of integer solutions to the equation $w_1+\\dots+w_n = C$ may be described by ${C+n-1 \\choose n-1}$. If we compute the formular for $C=12$ and $n=3$ we get: ${12+3-1 \\choose 3-1} = {14 \\choose 2} = 91$. This can be computed with the following code:"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "e0fef5b5-4f1c-4bc4-8073-359fb71418c4",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"91 wealth distributions for 12 coins and 3 users\n"
]
}
],
"source": [
"C = 12\n",
"n = 3\n",
"print(\"{} wealth distributions for {} coins and {} users\".format(comb(C+n-1, n-1), C, n))\n"
]
},
{
"cell_type": "markdown",
"id": "6c6f2208-c9b7-4c14-8dc3-8d165e23d6f0",
"metadata": {},
"source": [
"The number of wealth distributions (i.e. the binomial coefficiant) grows quickly with the number $n$ of users splitting the $C$ coins. For example already for only 13 users there are more wealth distributions for 21 Mio coins (assuming a coin cannot be divided further) possible than there exist private keys when assuming $256$ bits of entropy."
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "c5133af8-a789-43f8-8838-4b8ea8300a98",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"15356639378818364227077318033318658555893632571113300037840723932299152640925001 wealth distributions for 21000000 coins and 13 users\n",
"115792089237316195423570985008687907853269984665640564039457584007913129639936 The size of the private key space\n"
]
}
],
"source": [
"C = 21_000_000\n",
"n = 13\n",
"print(\"{} wealth distributions for {} coins and {} users\".format(comb(C+n-1, n-1), C, n))\n",
"print(2**256, \"The size of the private key space\")"
]
},
{
"cell_type": "markdown",
"id": "8febf0e3-bc85-48e0-872a-7a1988f99089",
"metadata": {},
"source": [
"## Relation between wealth distributions and Bitcoin Payments (transactions): \n",
"\n",
"Making a Bitcoin transaction changes the wealth distribution. In particularly: Every wealth distribution can be achieved from every other wealth distribution with a finite series of Bitcoin Transactions. However at least 1 transaction (payment) is necessary to transition from one wealth distribution to another one. (In mathematical sophisticated language one could write that the [Bitcoin transactions are the Automorphisms of the Convex Polytope of of wealth distributions](https://en.wikipedia.org/wiki/Automorphism).)\n",
"\n",
"A key use of money is to be able to facilitate payments (e.g. transfer wealth). If however the number of possible wealth distributions grows very quickly in comparison to the low bandwidth of transactions that the Bitcoin Network supports (due to technical limits of blockchain based distributed consensus systems), we could prematurely come to the conclusion that the bitcoin network might not be usable as a payment network or as electronic cash.\n",
"\n",
"However offchain payment channel networks (e.g. the Lightning Network) have been suggested to address the problem. In the following we describe the geometry of such payment channel networks and try to understand if (and under what circumstances) they can deliver on their promise to facility payments. \n",
"\n",
"## Describing feasible wealth distributions of payment channel networks as convex sub polytopes\n",
"\n",
"If peers collaboratively lift Bitcoins to payment channels through on chain transactions they can consequently achieve some wealth distributions without requiring additional onchain transactions to do so. \n",
"\n",
"The wealth distributions that are achievable off chain are described by a subpolytope that is realized by cutting the afore mentioned base polytope with half spaces that result from the following constraints: \n",
"\n",
"1. Sum of the wealth of two peers $w_i$ and $w_j$ of the channel has to be larger than the capacity $c_{ij}$ of the channel: $w_i + w_j \\geq c_{ij}$.\n",
"2. The wealth $w_i$ of each user must not exceed the capacity of all the channels that the user is part of: $\\sum_{j=1}^nc_{ij} \\geq w_i$ (In particular $c_{ij}$ is assumed to be zero if no channel between user user $i$ and $j$ exists.\n",
"\n",
"The first constraint is given because money in a channel is collaboratively owned by the peers that maintain the channel. While a peer can ask to change the state in the channel to route some sats to other peers the sats in the channel cannot leave the channel without conducting on chain operations.\n",
"\n",
"### Example 1: 12 coins for 3 users in a fully connected Lighting Network\n",
"We go back to our example of distributing $12$ coins among $3$ users. Let us assume the coins where initially distributed in a way that every user was able to open and maintain a payment channel of capacity $4$ with every other user then we could observe the following sub polytope (in red color)\n"
]
},
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",
"text/html": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"45.27% of all welath distributions are possible on the Lighting Network with this particular topology\n"
]
}
],
"source": [
"start = np.array([12,0,0,0])\n",
"b1 = np.array([-1,1,0,0])\n",
"b2 = np.array([-1,0,1,0])\n",
"b3 = np.array([-1,0,0,1])\n",
"\n",
"data_x = []\n",
"data_y = []\n",
"data_z = []\n",
"colors = []\n",
"\n",
"for x in range(13):\n",
" for y in range(13):\n",
" for z in range(13):\n",
" r = start + x*b1 + y*b2 + z*b3 #find a vector\n",
" if min(r)>=0 and max(r)<=12: #vector is a possible wealth distribution (assumptions from bitcoin)\n",
" data_x.append(x)\n",
" data_y.append(y)\n",
" data_z.append(z)\n",
" # Test the constraints of the Lightning Network\n",
" if r[0]+r[1] >=2 and r[0]+r[1] >=2 and r[0]+r[3] >=2 and r[1]+r[2]>=2 and r[1]+r[3] >=2 and r[2] + r[3] >=2 and r[0] <=6 and r[1] <=6 and r[2] <=6 and r[3] <= 6:\n",
" colors.append(\"LN\")\n",
" else:\n",
" colors.append(\"onchain\")\n",
"\n",
"ex2_ln = len([1 for x in colors if x == \"LN\"])\n",
"ex2_oc = len([1 for x in colors if x == \"onchain\"]) \n",
"fig = px.scatter_3d(x=data_x, y=data_y, z=data_z,color = colors, width=1200, height=900,\n",
" title= \"Wealth distributions on Bitcoin on Lighting Network for {} coins and channels of capacity {}, {} and {}\".format(C,maxchan[0],maxchan[1],maxchan[2]))\n",
"fig.show()\n",
"print(\"{:4.2f}% of all welath distributions are possible on the Lighting Network with this particular topology\".format((100.*ex2_ln)/(ex2_ln+ex2_oc)))"
]
},
{
"cell_type": "markdown",
"id": "c9bb9b4f-ea6d-47af-ad79-cee512f8a810",
"metadata": {},
"source": [
"We see that with the given fixed topology for $4$ users the relative number of feasible wealth distributions drops to $45\\%$ of all wealth distributions. We would like to investigate higher dimensions (aka networks with more users). Unfortunatelly we couldn't find a closed analytic expression for the number of red dots. \n",
"\n",
"As we have seen the polytopes grow quickly with the number of coins and users. Thus it is practically impossible to list all possible wealth distributions and count the integer solutions. \n",
"\n",
"\n",
"## Monte Carlo Simulation to compute the volume of the sub polytope \n",
"\n",
"Instead of computing the number of red dots we randomly select points on the blue polytope (which defines all possible wealth distributions) and count how often the sampled wealth distributions would have been feasible in a configuration of the Lighting Network (the red dots). If the points in the base polytope are sampled uniformly then this should give an approximation to the volume of the polytope defined by the Lighting Nework. \n",
"\n",
"### Uniformly sampling Bitcoin Wealth distributions\n",
"\n",
"Sampeling uniformly distributed points in this high dimensional polytope is non trivial but has been solved with [matlab code available here](https://www.mathworks.com/matlabcentral/fileexchange/9700-random-vectors-with-fixed-sum). This has been generalized (known as the [Dirichlet rescale algorithm](https://sigbed.org/2020/12/21/the-dirichlet-rescale-drs-algorithm-a-general-purpose-method-underpinning-synthetic-task-set-generation/) for which a [python implementation exists](https://pypi.org/project/drs/).\n",
"\n",
"While coins are integers we embed our polytopes and constraints into $\\mathbb{R}^n$ as volume computations in $\\mathbb{R}^n$ are easier to approximate via statistical sampling. "
]
},
{
"cell_type": "code",
"execution_count": 90,
"id": "5048a041-16d5-49ee-961b-f4b4d5224976",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"we find a possible distribution of 21Million Bitcoin among five users:\n",
"4159192.71867946 + 6396860.69518352 + 1676043.72525344 + 8610561.35517646 + 157341.50570711 = 21000000\n",
"\n",
"More readable we distribute 15 coins among 3 users:\n",
"9.49 + 2.27 + 3.24 = 15\n"
]
}
],
"source": [
"#example usage of the DRS lib\n",
"print(\"we find a possible distribution of 21Million Bitcoin among five users:\")\n",
"w1, w2, w3, w4, w5 = drs(5,21_000_000)\n",
"print(\"{:.8f} + {:.8f} + {:.8f} + {:.8f} + {:.8f} = {}\\n\".format(w1, w2, w3, w4, w5, int(w1+w2+w3+w4+w5)))\n",
"\n",
"print(\"More readable we distribute 15 coins among 3 users:\")\n",
"w1, w2, w3 = drs(3,15)\n",
"print(\"{:.2f} + {:.2f} + {:.2f} = {}\".format(w1, w2, w3, int(w1+w2+w3)))\n"
]
},
{
"cell_type": "markdown",
"id": "699778c0-6935-4fbd-9d9b-e7b3ec8fdb80",
"metadata": {},
"source": [
"For the Monte Carlo Simulation we define the following three helper function. `evaluate_possible_wealth_distributions` is the main API call that we use through the reminder of the notebook. For a provided number of users, and coins and a given topology it conducts the test against uniformly distributed wealth distributions and thus estimates the volume of the polytope that is given through the network topology "
]
},
{
"cell_type": "code",
"execution_count": 19,
"id": "98141bd7-4d65-4402-ba4c-8c1cfafa401c",
"metadata": {},
"outputs": [],
"source": [
"def max_wealth_of_users(channels, num_users):\n",
" \"\"\"\n",
" computes the maximum wealth each user can have with respect to all existing payment channels\n",
" This is equivalent to the total capacity that all channels the user is member of have.\n",
" \"\"\"\n",
" max_wealth = {i:0 for i in range(num_users)}\n",
" for channel, cap in channels.items():\n",
" for user in channel:\n",
" max_wealth[user]+=cap\n",
" return max_wealth\n",
"\n",
"def test(wealth_distribution, multi_party_channels, max_wealth):\n",
" \"\"\"\n",
" We test weather a wealth distribution is possible given the constraints from the channels\n",
" \"\"\"\n",
" for i, wealth in enumerate(wealth_distribution):\n",
" if wealth > max_wealth[i]++0.0000000001:\n",
" #print(wealth, max_wealth[i], max_wealth, multi_party_channels)\n",
" return False\n",
" for users,cap in multi_party_channels.items():\n",
" s = 0\n",
" for user in users:\n",
" s += wealth_distribution[user]\n",
" if s + +0.0000000001 < cap:\n",
" #print(sum([wealth_distribution[user] for user in users]), cap)\n",
" return False\n",
" return True\n",
"\n",
"def evaluate_possible_wealth_distributions(num_users, num_coins, channels, number_of_runs = 1_000):\n",
" possible = 0\n",
" max_wealth = max_wealth_of_users(channels, num_users) #the maximum wealth each user can have in the toplogy of our toy example\n",
" #print(max_wealth)\n",
" for i in range(number_of_runs):\n",
" wealth_distribution = drs(num_users,num_coins)\n",
" if test(wealth_distribution, channels, max_wealth):\n",
" possible+=1\n",
" return float(possible)/number_of_runs\n"
]
},
{
"cell_type": "markdown",
"id": "e0e9b76a-1663-4a6a-8f2e-982ab65b759b",
"metadata": {},
"source": [
"## Comparing the Results of the Monte Carlo simulation with the exact computation\n",
"\n",
"As we have exact results in low dimensions we test that the monte carlo simulation in deed produces approximations that are close to the exactly computed volumes"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "8e800ff9-ca43-4ef3-83e8-bda414ef29ee",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Monte carlo says 67.60% of all distributions are possible. The exact result (fraction of red dots) says: 67.03%\n",
"Monte carlo says 45.50% of all distributions are possible. The exact result (fraction of red dots) says: 45.27%\n"
]
}
],
"source": [
"num_users = 3\n",
"num_coins = 12\n",
"channels = {(0,1):4, (0,2):4, (1,2):4} #create three channels with capacity 3 each\n",
"\n",
"\n",
"volume = evaluate_possible_wealth_distributions(num_users, num_coins, channels)\n",
"print(\"Monte carlo says {:4.2f}% of all distributions are possible. The exact result (fraction of red dots) says: {:4.2f}%\".format(volume*100., (100.*ex1_ln)/(ex1_ln+ex1_oc)))\n",
"\n",
"num_users = 4\n",
"num_coins = 12\n",
"channels = {(0,1):2, (0,2):2, (1,2):2,(0,3):2, (1,3):2, (2,3):2} #create three channels with capacity 3 each\n",
"volume = evaluate_possible_wealth_distributions(num_users, num_coins, channels)\n",
"print(\"Monte carlo says {:4.2f}% of all distributions are possible. The exact result (fraction of red dots) says: {:4.2f}%\".format(volume*100., (100.*ex2_ln)/(ex2_ln+ex2_oc)))\n"
]
},
{
"cell_type": "markdown",
"id": "846b2bc5-7546-489c-9757-5fdd4e3e504d",
"metadata": {},
"source": [
"We see that the result of the Monte carlo Simulation is within the range of the exact computation. Of course this only annecdotal evidence that the Monte Carlo Simulation and statistical process works as intended. However in particular for the volume of polytopes there is plenty of research indicating that Monte Carlo Simulation is indeed a sane method to approximate the volume rather accurately.\n"
]
},
{
"cell_type": "markdown",
"id": "d3cbadc0-9d59-4ba7-accc-b32e463d9643",
"metadata": {},
"source": [
"## Higher dimensional experiments (properties of networks with more peers)\n",
"\n",
"We want to investigate how many payments (aka various wealth distributions) are possible if more users join the off chain network. \n",
"\n",
"We start on a network with $21$ Mio coins and compute the sizes of the polytopes of fully connected networks with more and more users to see if the low dimensional trend of declining volumes continues. \n",
"\n",
"First we need a helper function to create payment channels in our simulated test networks"
]
},
{
"cell_type": "code",
"execution_count": 72,
"id": "48a07941-f11c-4385-a1f9-caab26023087",
"metadata": {},
"outputs": [],
"source": [
"def generate_multi_party_channels(num_coins, num_users, num_channels, party_size=2, equal_capacity = False,zipf_dist=False):\n",
" \"\"\"\n",
" generates @num_channels channels with a @num_coins total capacity between @num_users.\n",
"\n",
" Optionally the channels may be multi party channels which we need for later considerations\n",
" In particular the capacities of the channels may be uniformly or zipf distributed of or equal capacity\n",
" \"\"\"\n",
" res = dict()\n",
" capacities = []\n",
" if zipf_dist:\n",
" a=1.01\n",
" k = np.arange(num_channels+1)\n",
" zipf.pmf(k, a)\n",
" capacities = [num_coins*x for x in zipf.pmf(k,a)[1:]]\n",
" #print(capacities[0],capacities[-1])\n",
" else:\n",
" if equal_capacity: \n",
" capacities = [num_coins/num_channels for i in range(num_channels)]\n",
" else:\n",
" capacities = drs(num_channels,num_coins)\n",
" cnt = 0\n",
" #FIXME: very inefficient for dense networks!\n",
" while len(res) < num_channels:\n",
" t = tuple(sorted(random.sample(range(num_users), party_size)))\n",
" if t not in res:\n",
" res[t] = capacities[cnt]\n",
" cnt+=1\n",
" return res\n"
]
},
{
"cell_type": "markdown",
"id": "9de70bb5-b8f4-40a7-aff9-184711e90942",
"metadata": {},
"source": [
"We compute the volumes of the polytops of Lightning networks with $k$ users. In the first case our networks are fully connected. In the second case only half of the channels (obviously with increased capacity) are added to the network. "
]
},
{
"cell_type": "code",
"execution_count": 25,
"id": "53aa749a-5f57-47bf-9957-e8364ac7cf11",
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"num_coins = 21_000_000\n",
"\n",
"users = []\n",
"volumes = []\n",
"for num_users in range(3,41):\n",
" channels = generate_multi_party_channels(num_coins,num_users, comb(num_users,2),equal_capacity=True)\n",
" #print(\"generated channels\")\n",
" #print(channels)\n",
" users.append(num_users)\n",
" volumes.append(evaluate_possible_wealth_distributions(num_users, num_coins, channels,100_000))\n",
" \n",
"plt.figure(figsize=(12,9))\n",
"plt.title(\"Possible wealth distributions depending on the number of users on LN\")\n",
"\n",
"#data series 1: fully connected network\n",
"users = []\n",
"volumes = []\n",
"for num_users in range(3,31):\n",
" channels = generate_multi_party_channels(num_coins,num_users, comb(num_users,2),equal_capacity=True)\n",
" users.append(num_users)\n",
" volumes.append(evaluate_possible_wealth_distributions(num_users, num_coins, channels,100_000))\n",
"plt.scatter(users, volumes,label=\"fully connected network\")\n",
"\n",
"#data series 2: Network with lower connectivity by taking only 50% of the payment channels of a full network\n",
"users = []\n",
"volumes = []\n",
"for num_users in range(3,31):\n",
" channels = generate_multi_party_channels(num_coins,num_users, max(2,int(comb(num_users,2)/2)),equal_capacity=True)\n",
" users.append(num_users)\n",
" volumes.append(evaluate_possible_wealth_distributions(num_users, num_coins, channels,100_000))\n",
"plt.scatter(users, volumes,label=\"halv connected network\")\n",
"\n",
"plt.plot([x for x in range(2,31)], [1.8*1.375**-x for x in range(2,31)],label=\"$f(x)=1.8*1.375^{-x}$\")\n",
"plt.grid()\n",
"plt.xlabel(\"number of participants\")\n",
"plt.ylabel(\"relative volume of polytope encoding possible wealth distributions\")\n",
"#plt.xscale(\"log\")\n",
"plt.legend()\n",
"plt.yscale(\"log\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "9dd38fb4-2316-4de4-afbd-10c67c736225",
"metadata": {},
"source": [
"While the number of possible wealth distributions also grows exponentially with users joining the Bitcoin network the relative number of achievable wealth distributions on the lightning network declines exponentially with more users joining the lighting network. \n",
"\n",
"**This means even with optimal routing, payment planning and liquidity finding strategies certain payments (changes in the wealth distribution) won´t be possible without on chain transactions.**\n",
"\n",
"Let us illustrate what this fit means for a reasonable network"
]
},
{
"cell_type": "code",
"execution_count": 28,
"id": "e88bcc79-6cee-460f-9d86-c277b52706f7",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(12,9))\n",
"plt.title(\"Extrapolating the number of possible wealth distributions\")\n",
"plt.plot([2**i for i in range(12)],[1.8*1.375**-(2**i) for i in range(12)])\n",
"plt.yscale(\"log\")\n",
"plt.grid()\n",
"plt.xlabel(\"Number of peers on the network\")\n",
"plt.ylabel(\"Fraction of wealth distributions feasible in network topology\")\n",
"plt.show()\n"
]
},
{
"cell_type": "markdown",
"id": "d59dbf64-19f7-42b2-a872-171a708f4fc9",
"metadata": {},
"source": [
"Obviously a fully connected network with channels of equal size is also from the perspective of consuming on chain resources not desireable. (Without formal proof) we will provide evidence that from a perspective of maximizing the number of feasible wealth distributions this topoloy seems optimal. But even in that topology additional onchain transactions to conduct payments are undesireble. \n",
"\n",
"Before doing so we note that this result so far provides insight why a vast majority of payments on the network are not feasible. (many of which will not even be attempted by users, as a user will not attempt to create an invoice to receive $10$ BTC if she only has for example $1$ BTC of inbound liquidity. \n",
"\n",
"## Investigating different topologies\n",
"\n",
"Staying on small networks we want to see the impact of various topologies to the network's ability to facilitate payments. Thus we run various Monte carlo simulations on networks that are not fully connected and we also select the capacities to be either of random size (in the first experiment) or of equal size (the second experiment and the afore mentioned examples)\n",
"\n",
"\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 83,
"id": "35ce9387-2b6e-411f-8d47-d787fe692a8f",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Test Networks among 5 users with various chanal capacities and random channel sizes\n",
"average: 0.00% of wealth distributions possible on 3 channels.\n",
"average: 0.50% of wealth distributions possible on 4 channels.\n",
"average: 2.96% of wealth distributions possible on 5 channels.\n",
"average: 6.27% of wealth distributions possible on 6 channels.\n",
"average: 16.95% of wealth distributions possible on 7 channels.\n",
"average: 20.09% of wealth distributions possible on 8 channels.\n",
"average: 16.37% of wealth distributions possible on 9 channels.\n",
"average: 25.74% of wealth distributions possible on 10 channels.\n",
"\n",
"Checking Networks with random channels but equal capcity\n",
"average: 0.00% of wealth distributions possible on 3 channels.\n",
"average: 11.75% of wealth distributions possible on 4 channels.\n",
"average: 13.50% of wealth distributions possible on 5 channels.\n",
"average: 17.94% of wealth distributions possible on 6 channels.\n",
"average: 27.55% of wealth distributions possible on 7 channels.\n",
"average: 25.83% of wealth distributions possible on 8 channels.\n",
"average: 30.22% of wealth distributions possible on 9 channels.\n",
"average: 32.53% of wealth distributions possible on 10 channels.\n"
]
}
],
"source": [
"print(\"Test Networks among 5 users with various chanal capacities and random channel sizes\")\n",
"num_coins = 20\n",
"num_users = 5\n",
"experiment1_data = []\n",
"for num_channels in range(3,11):\n",
" channels = generate_multi_party_channels(num_coins,num_users, num_channels)\n",
" experiment1_data.append(np.array([100*evaluate_possible_wealth_distributions(num_users, num_coins, channels,500) for i in range(500)]))\n",
" print(\"average: {:4.2f}% of wealth distributions possible on {:2} channels.\".format(np.mean(experiment1_data[-1]), num_channels))\n",
"\n",
"print(\"\\nChecking Networks with random channels but equal capcity\")\n",
"experiment2_data = []\n",
"for num_channels in range(3,11):\n",
" channels = generate_multi_party_channels(num_coins,num_users, num_channels,equal_capacity =True)\n",
" experiment2_data.append(np.array([100*evaluate_possible_wealth_distributions(num_users, num_coins, channels,100) for i in range(500)]))\n",
" print(\"average: {:4.2f}% of wealth distributions possible on {:2} channels.\".format(np.mean(experiment2_data[-1]), num_channels))\n"
]
},
{
"cell_type": "code",
"execution_count": 84,
"id": "3c52e16c-e9eb-4232-8bf5-5f4624b3a3cc",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, (ax1, ax2) = plt.subplots(nrows=2, ncols=1, figsize=(9, 8),constrained_layout=True)\n",
"labels = ['3', '4', '5','6', '7', '8','9','10']\n",
"# rectangular box plot\n",
"bplot1 = ax1.boxplot(experiment1_data,\n",
" vert=True, # vertical box alignment\n",
" patch_artist=True, # fill with color\n",
" labels=labels) # will be used to label x-ticks\n",
"ax1.set_title('Random Channel Capacities and Random peers')\n",
"\n",
"bplot2 = ax2.boxplot(experiment2_data,\n",
" vert=True, # vertical box alignment\n",
" patch_artist=True, # fill with color\n",
" labels=labels) # will be used to label x-ticks\n",
"ax2.set_title('Equal channel Capacities random peers to form a channel')\n",
"\n",
"# fill with colors\n",
"colors = ['pink', 'lightblue', 'lightgreen','yellow', 'red', 'orange','magenta', 'brown',]\n",
"for bplot in (bplot1, bplot2):\n",
" for patch, color in zip(bplot['boxes'], colors):\n",
" patch.set_facecolor(color)\n",
"\n",
"# adding horizontal grid lines\n",
"for ax in [ax1, ax2]:\n",
" ax.yaxis.grid(True)\n",
" ax.set_xlabel('number of channels')\n",
" ax.set_ylabel('Percent of possible wealth distributions [%]')\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "cb6973ab-b811-46c3-b23a-cc4a4614a754",
"metadata": {},
"source": [
"We observe that the denser the network (indicated through more payment channels) the more wealth distributions seem to be achievable. Also the curve grows higher if the channels are all of equal capacity. We want to investigate the later observation a bit further. Thus we generate various fully connected channel graphs and compute the volume of the polytope as well as the [gini coefficient](https://en.wikipedia.org/wiki/Gini_coefficient) (measureing the inequality) of the capacities "
]
},
{
"cell_type": "code",
"execution_count": 86,
"id": "2530d3c2-65d2-4e91-b48b-b0cbdb17d757",
"metadata": {},
"outputs": [],
"source": [
"#CC-BY-SA Attrib: Warren Weckesser via https://stackoverflow.com/a/39513799\n",
"def gini(x):\n",
" # (Warning: This is a concise implementation, but it is O(n**2)\n",
" # in time and memory, where n = len(x). *Don't* pass in huge\n",
" # samples!)\n",
"\n",
" # Mean absolute difference\n",
" mad = np.abs(np.subtract.outer(x, x)).mean()\n",
" # Relative mean absolute difference\n",
" rmad = mad/np.mean(x)\n",
" # Gini coefficient\n",
" g = 0.5 * rmad\n",
" return g"
]
},
{
"cell_type": "code",
"execution_count": 87,
"id": "5ec59228-8d49-4ec9-98bd-f6eb77bd8df6",
"metadata": {},
"outputs": [],
"source": [
"num_coins = 20\n",
"num_users = 4\n",
"num_channels = 6\n",
"percentages = []\n",
"ginis = []\n",
"for i in range(1500):\n",
" channels = generate_multi_party_channels(num_coins,num_users, num_channels)\n",
" ginis.append(gini(list(channels.values())))\n",
" percentages.append(100*evaluate_possible_wealth_distributions(num_users, num_coins, channels,5000)) \n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 88,
"id": "094ff30d-f7e2-4d00-af77-cb4ec3fef319",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"-0.9264275432639719 0.0\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"r, p = scipy.stats.pearsonr(ginis, percentages)\n",
"print(r,p)\n",
"plt.figure(figsize=(9,9))\n",
"plt.title(\"Relation between unequal channel capacities and possible wealth distributions\")\n",
"plt.scatter(percentages, ginis)\n",
"plt.grid()\n",
"plt.xlabel(\"percentage of possible wealth distributions\")\n",
"plt.ylabel(\"ginicoefficient of channel capacities\")\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 89,
"id": "1103027b-3e89-4645-a8d9-8adfc1ffc9dd",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"-0.8495408210411747 0.0\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"num_coins = 20\n",
"num_users = 5\n",
"num_channels = 10\n",
"percentages = []\n",
"ginis = []\n",
"for i in range(1500):\n",
" channels = generate_multi_party_channels(num_coins,num_users, num_channels)\n",
" ginis.append(gini(list(channels.values())))\n",
" percentages.append(100*evaluate_possible_wealth_distributions(num_users, num_coins, channels,5000)) \n",
"\n",
"r, p = scipy.stats.pearsonr(ginis, percentages)\n",
"print(r,p)\n",
"plt.figure(figsize=(9,9))\n",
"plt.title(\"Relation between unequal channel capacities and possible wealth distributions\")\n",
"plt.scatter(percentages, ginis)\n",
"plt.grid()\n",
"plt.xlabel(\"percentage of possible wealth distributions\")\n",
"plt.ylabel(\"ginicoefficient of channel capacities\")\n",
"plt.show()\n"
]
},
{
"cell_type": "markdown",
"id": "bcdfea6e-4392-40b7-be57-5cfe92aac268",
"metadata": {},
"source": [
"In fact we see that higher gini coefficients of the channel capacities (which indicate a bigger inequality of the capacities) seem to allow for fewer wealth distributions.\n",
"\n",
"## Consequences on an observed Lighting Network snapshot\n",
"We see have seen that already for a network of $16k = 2^{14}$ nodes the relative volume of possible wealth distributions within a payment channel network is negligible in comparison to the theoretical number of possible wealth distributions that are achievable through on chain payments. \n",
"\n",
"If the above theoretical observations are true we should not be able to sample a single wealth distribution that is feasible on the actual observed Lighting Network even if as many as $100k$ randomly sampled wealth distributions were to be tested. \n",
"\n",
"In practice this means that random payments with random amounts (not the 10k to 100k sats payments that people are currently doing) will almost certainly not be feasible on the given network topology.\n",
"\n",
"In order to test our hypothesis we start by importing a Lightning Network snapshot to also be able to conduct some experiments on realistic data and network topologies that we have observed in practicse. We took the snapshot from [Elias Roher's discharged-pc-data](https://git.tu-berlin.de/rohrer/discharged-pc-data/) rpository and adopted [his source code to load the data set](https://git.tu-berlin.de/rohrer/discharged-pc-data/-/blob/master/eval_scripts/main.py).\n"
]
},
{
"cell_type": "code",
"execution_count": 162,
"id": "dae6930a-67b5-44bf-adda-32c1ee7ebf4d",
"metadata": {},
"outputs": [],
"source": [
"def load_json(file_path):\n",
" try:\n",
" f = open(file_path, 'r', encoding=\"utf8\")\n",
" except:\n",
" print(\"Could not open file: \" + file_path)\n",
" return\n",
" try:\n",
" json_data =json.load(f)\n",
" except:\n",
" print(\"Could not parse JSON!\")\n",
" return\n",
" for item in json_data['edges']:\n",
" if item['capacity']:\n",
" item['capacity'] = int(item['capacity'])\n",
"\n",
" return json_data\n",
"\n",
"def load_graph(json_data):\n",
" G = json_graph.node_link_graph(json_data, True, False, source=\"node1_pub\", target=\"node2_pub\", name=\"pub_key\", key=\"channel_id\", link=\"edges\")\n",
" return G\n",
"\n",
"json_data = load_json(\"lngraph_2021_11_25__15_02.json\")\n",
"G = load_graph(json_data) \n"
]
},
{
"cell_type": "markdown",
"id": "012fb584-88f3-4f34-82a8-2807bf7571ec",
"metadata": {},
"source": [
"Use the data to compute some statistics about the used data set"
]
},
{
"cell_type": "code",
"execution_count": 163,
"id": "ccee12fc-84e4-498d-ac00-817b6ae9d07c",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Number of sats: 278416182448 (2784 BTC) for 18288 nodes and 76540 channels\n"
]
}
],
"source": [
"total_coins = 0\n",
"ids = []\n",
"for edge in G.edges(data=True):\n",
" total_coins += edge[2][\"capacity\"]\n",
"\n",
"#we create an integer index for the node_ids as vectors in our polytope can more easily be addressed through this mapping\n",
"node_ids = list(G.nodes())\n",
"index = {node:i for i,node in enumerate(node_ids)}\n",
"\n",
"ln_channels = dict()\n",
"for edge in G.edges(data = True):\n",
" channel = tuple(sorted([index[edge[0]],index[edge[1]]]))\n",
" ln_channels[channel] = edge[2][\"capacity\"]\n",
"\n",
"#we create the cpacities dictionary to quickly check the constraints of the polytope and decide member s\n",
"capacities = {index[node]:{} for node in node_ids}\n",
"for edge in G.edges(data=True):\n",
" capacities[index[edge[0]]][index[edge[1]]]= edge[2][\"capacity\"]\n",
" capacities[index[edge[1]]][index[edge[0]]]= edge[2][\"capacity\"]\n",
"\n",
"max_wealth_per_node = {i:sum(capacities[i].values()) for i,n in enumerate(node_ids)}\n",
"\n",
"print(\"Number of sats: {} ({} BTC) for {} nodes and {} channels\".format(total_coins,int(total_coins/100_000_000), len(node_ids), len(G.edges())))"
]
},
{
"cell_type": "code",
"execution_count": 164,
"id": "fe699fc2-bcce-444d-b504-b3403c33ad12",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0 # of sampled wealth distributions where feasible on the Lighting Network\n",
"\n",
"\n",
"As expected none of the sampled wealth distributions was feasible with the observed Lighting Network topology.\n"
]
}
],
"source": [
"number_of_runs = 10_000\n",
"possible = 0\n",
"num_users = len(max_wealth_per_node)\n",
"num_coins = sum(ln_channels.values())\n",
"for i in range(number_of_runs):\n",
" wealth_distribution = drs(num_users,num_coins)\n",
" if test(wealth_distribution, ln_channels, max_wealth_per_node):\n",
" possible+=1\n",
" print(\"The very unlikely case occured that a sampled wealth distribution was fesible on the Lighting Network\")\n",
"\n",
"print(possible, \"# of sampled wealth distributions where feasible on the Lighting Network\\n\\n\")\n",
"\n",
"if possible == 0:\n",
" print(\"As expected none of the sampled wealth distributions was feasible with the observed Lighting Network topology.\")"
]
},
{
"cell_type": "markdown",
"id": "8af83e6c-8ac8-4540-8815-4d46c44badf8",
"metadata": {},
"source": [
" This results does however only reflect the mathematics of the currently implemented protocol that is based on two party channels. If we look at the constraints that reduce the size of the polytopes one comes to realize that implementing multi party channels weakens the constraints and should allow for larger sub polytopes. \n",
"\n",
"## Impact of allowing more users in (multi party) payment channels \n",
"\n",
"Looking at the constraints to the sub polytope one realizes that increasing the number of members in a channel weakens the constraints quite a bit. To illustrate this we go back to our example of $12$ coins for $4$ users and a fully connected network of $6$ channels that all have a capacity of $2$. If we look at three party channels (and assume again a fully connected network) we have $4$ channels of capacity $3$ each. Every user can no own up to $9$ coins and not only $6$. This may not sound like a huge improvement. However plotting the polytope one makes a first surprising observation with respect to it's volume (i.e.: number of possible wealth distributions (aka number of possible payments))"
]
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",
"text/html": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"84.62% of all welath distributions are possible with 4 3-party channels of capacity 3\n",
"45.27% of all welath distributions are possible with 6 channels of capacity 2\n"
]
}
],
"source": [
"start = np.array([12,0,0,0])\n",
"b1 = np.array([-1,1,0,0])\n",
"b2 = np.array([-1,0,1,0])\n",
"b3 = np.array([-1,0,0,1])\n",
"\n",
"data_x = []\n",
"data_y = []\n",
"data_z = []\n",
"colors = []\n",
"\n",
"for x in range(13):\n",
" for y in range(13):\n",
" for z in range(13):\n",
" r = start + x*b1 + y*b2 + z*b3 #find a vector\n",
" if min(r)>=0 and max(r)<=12: #vector is a possible wealth distribution\n",
" data_x.append(x)\n",
" data_y.append(y)\n",
" data_z.append(z)\n",
" if r[0]+r[1] >=2 and r[0]+r[1] >=2 and r[0]+r[3] >=2 and r[1]+r[2]>=2 and r[1]+r[3] >=2 and r[2] + r[3] >=2 and r[0] <=6 and r[1] <=6 and r[2] <=6 and r[3] <= 6:\n",
" colors.append(\"LN\")\n",
" elif r[0]+r[1]+r[2] >=3 and r[0]+r[1]+r[3] >= 3 and r[0]+r[2]+r[3] >=3 and r[1]+r[2]+r[3] >=3 and r[0] <=8 and r[1] <=8 and r[2] <=9 and r[3] <= 8:\n",
" colors.append(\"3-party\")\n",
" else:\n",
" colors.append(\"onchain\")\n",
"\n",
"ln = len([1 for x in colors if x == \"LN\"])\n",
"oc = len([1 for x in colors if x == \"onchain\"]) \n",
"multi = len([1 for x in colors if x == \"3-party\"])\n",
"fig = px.scatter_3d(x=data_x, y=data_y, z=data_z,color = colors, width=1200, height=900,\n",
" title= \"Polytope of 4 users with an optimal network of 2 party channels (green) and 3 party channels (green + red)\")\n",
"fig.show()\n",
"print(\"{:4.2f}% of all welath distributions are possible with 4 3-party channels of capacity 3\".format((100.*(ln+multi))/(ln+multi+oc)))\n",
"print(\"{:4.2f}% of all welath distributions are possible with 6 channels of capacity 2\".format((100.*ln)/(ln+multi+oc)))\n"
]
},
{
"cell_type": "markdown",
"id": "8852f23d-6ea9-48a3-9cb5-819a19a36802",
"metadata": {},
"source": [
"We see that the (exponentially with more users declining) relative volume of the Lightning Network allowed for only $45\\%$ of all theoretically possible wealth distributions. However the relative volume of the polytope that rises from a network that conists of 3-party channels covers $91\\%$ of the volume of all theoretically possible wealth distributions. \n",
"\n",
"We believe this is a bit counter intuitive if one considers the relatively small increas in maximum wealth users could have. Also one could wonder if this just an articact of low diminsions and working because we could build a full network of 3 party channels. We note that for more users a full network of $3$ party channels has ${n \\choose 3}$ channels and a fully connected network with $k$-party channels has ${n \\choose k}$ channels. Those binomial coefficients grow considerably larger than the network of $2$ party channels which we already stated would not fit into the on chain capacities of the Bitcoin Network. \n",
"\n",
"In the following we investigate the actual behavior of multiparty channels and show that even for relatively small values of $k$ (in the range between $10$ and $100$ we need less channels than we have participants in the network for the relative volume of the polytope to be close too $100\\%$. This result is in accordance with the theory of hypergraphs and expectable. (TODO: add reference)"
]
},
{
"cell_type": "code",
"execution_count": 76,
"id": "5b21eb89-5bea-4976-9205-6f06d8aff1c7",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, done\n"
]
}
],
"source": [
"num_coins = 2700*100_000_000 #number of coins deployd to a recent LN snapshot\n",
"num_users = 18200 #number of users on a recent Lighting network Snapshot\n",
"runs = 100\n",
"\n",
"volumes = []\n",
"party_sizes = []\n",
"num_channels = 80000 #number of channel on a recent Lighting network snapshot\n",
"for party_size in range(2,30):\n",
"\n",
" multi_party_channels = generate_multi_party_channels(num_coins, num_users, num_channels, party_size, equal_capacity=True)\n",
" volume = evaluate_possible_wealth_distributions(num_users, num_coins, multi_party_channels,runs)\n",
" volumes.append(volume)\n",
" party_sizes.append(party_size)\n",
" #print(\"party_size: {} allows for {:4.2f}% of all tested wealth distributions were possible\".format(party_size, 100.0*volume))\n",
" print(party_size,end=\", \")\n",
"print(\"done\")\n"
]
},
{
"cell_type": "code",
"execution_count": 77,
"id": "97d7b195-d131-439b-8833-1dabac631166",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, done\n"
]
}
],
"source": [
"volumes1 = []\n",
"party_sizes1 = []\n",
"num_channels = 80000 #number of channel on a recent Lighting network snapshot\n",
"for party_size in range(2,30):\n",
" multi_party_channels = generate_multi_party_channels(num_coins, num_users, num_channels, party_size)\n",
" volume = evaluate_possible_wealth_distributions(num_users, num_coins, multi_party_channels,runs)\n",
" volumes1.append(volume)\n",
" party_sizes1.append(party_size)\n",
" print(party_size,end=\", \")\n",
"print(\"done\")"
]
},
{
"cell_type": "code",
"execution_count": 66,
"id": "873ba544-f4d2-4426-900f-ae5d46c137a7",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, done\n"
]
}
],
"source": [
"volumes2 = []\n",
"party_sizes2 = []\n",
"num_channels = 18200 #number of channel on a recent Lighting network snapshot\n",
"for party_size in range(2,30):\n",
" multi_party_channels = generate_multi_party_channels(num_coins, num_users, num_channels, party_size)\n",
" volume = evaluate_possible_wealth_distributions(num_users, num_coins, multi_party_channels,runs)\n",
" volumes2.append(volume)\n",
" party_sizes2.append(party_size)\n",
"# print(\"party_size: {} allows for {:4.2f}% of all tested wealth distributions were possible\".format(party_size, 100.0*volume))\n",
" print(party_size,end=\", \")\n",
"\n",
"print(\"done\")"
]
},
{
"cell_type": "code",
"execution_count": 67,
"id": "d02c1009-d722-4c0a-8890-7ee9ae51b84d",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, done\n"
]
}
],
"source": [
"volumes3 = []\n",
"party_sizes3 = []\n",
"num_channels = 18200 #number of channel on a recent Lighting network snapshot\n",
"for party_size in range(2,30):\n",
" multi_party_channels = generate_multi_party_channels(num_coins, num_users, num_channels, party_size, equal_capacity=True)\n",
" volume = evaluate_possible_wealth_distributions(num_users, num_coins, multi_party_channels,runs)\n",
" volumes3.append(volume)\n",
" party_sizes3.append(party_size)\n",
"# print(\"party_size: {} allows for {:4.2f}% of all tested wealth distributions were possible\".format(party_size, 100.0*volume))\n",
" print(party_size,end=\", \")\n",
"print(\"done\")"
]
},
{
"cell_type": "code",
"execution_count": 73,
"id": "6d52f8e4-4449-45a3-ae54-0836ba454323",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"2, 12, 22, 32, 42, 52, 62, 72, 82, 92, 102, 112, 122, 132, 142, 152, 162, 172, 182, 192, 202, 212, 222, 232, 242, 252, 262, 272, 282, 292, done\n"
]
}
],
"source": [
"volumes4 = []\n",
"party_sizes4 = []\n",
"num_channels = 18200 #number of channel on a recent Lighting network snapshot\n",
"for party_size in range(2,300,10):\n",
" multi_party_channels = generate_multi_party_channels(num_coins, num_users, num_channels, party_size, zipf_dist=True)\n",
" volume = evaluate_possible_wealth_distributions(num_users, num_coins, multi_party_channels,runs)\n",
" volumes4.append(volume)\n",
" party_sizes4.append(party_size)\n",
"# print(\"party_size: {} allows for {:4.2f}% of all tested wealth distributions were possible\".format(party_size, 100.0*volume))\n",
" print(party_size,end=\", \")\n",
"print(\"done\")"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "fc97cdd0-efdf-4f7b-98a1-e0dec0fbdb10",
"metadata": {},
"outputs": [],
"source": [
"volumes5 = []\n",
"party_sizes5 = []\n",
"num_channels = 80000 #number of channel on a recent Lighting network snapshot\n",
"for party_size in range(2,300,10):\n",
" multi_party_channels = generate_multi_party_channels(num_coins, num_users, num_channels, party_size, zipf_dist=True)\n",
" volume = evaluate_possible_wealth_distributions(num_users, num_coins, multi_party_channels,runs)\n",
" volumes5.append(volume)\n",
" party_sizes5.append(party_size)\n",
"# print(\"party_size: {} allows for {:4.2f}% of all tested wealth distributions were possible\".format(party_size, 100.0*volume))\n",
" print(party_size,end=\", \")\n",
"print(\"done\")"
]
},
{
"cell_type": "code",
"execution_count": 78,
"id": "40a2359e-1abc-4e76-ac66-2760abb14a11",
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(12,9))\n",
"plt.title(\"Impact of the number of peers per channel to the network's ability to facilitate payemnts\")\n",
"plt.plot(party_sizes,volumes, \"b-\",label=\"18.2k users, 80k channels, equal capacity\")\n",
"plt.plot(party_sizes1,volumes1,\"b-.\", label=\"18.2k users, 80k channels, random capacity\")\n",
"plt.plot(party_sizes5,volumes5,\"b:\", label=\"18.2k users, 80k channels, zip distribution of capacities\")\n",
"\n",
"plt.plot(party_sizes3,volumes3, \"y-\", label=\"18.2k users, 18.2k channels, eaqual capacity\")\n",
"plt.plot(party_sizes2,volumes2, \"y-.\",label=\"18.2k users, 18.2k channels, random capacity\")\n",
"plt.plot(party_sizes4,volumes4,\"y:\", label=\"18.2k users, 18.2k channels, zip distribution of capacities\")\n",
"plt.xscale(\"log\")\n",
"plt.grid()\n",
"plt.xlabel(\"number of peers in each channel\")\n",
"plt.ylabel(\"relative number of achievable wealth distributions (estimate)\")\n",
"plt.legend()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "e2ce5ab2-06aa-4655-b248-700adc4b15c7",
"metadata": {},
"source": [
"## Experiment on a Lighting Network Snapshot. \n",
"\n",
"Assuming our theory is correct we should observe on a snapshot of the lighting network the following: \n",
"\n",
"If we extend all channels to multiparty channels by randomly adding more peers to the existing channels then for a certain size of the multi party more than $99.999/%$ of the tested wealth distributions should be feasible in the network of multiparty channels."
]
},
{
"cell_type": "code",
"execution_count": 62,
"id": "04b599e7-ec00-4824-bdfd-2851e285eabf",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0.0 % of sampled wealth distributions where feasible on a 10 -party Lighting Network\n",
"0.0 % of sampled wealth distributions where feasible on a 20 -party Lighting Network\n",
"0.0 % of sampled wealth distributions where feasible on a 30 -party Lighting Network\n",
"0.0 % of sampled wealth distributions where feasible on a 40 -party Lighting Network\n",
"0.0 % of sampled wealth distributions where feasible on a 50 -party Lighting Network\n",
"0.0 % of sampled wealth distributions where feasible on a 60 -party Lighting Network\n",
"1.0 % of sampled wealth distributions where feasible on a 70 -party Lighting Network\n",
"11.0 % of sampled wealth distributions where feasible on a 80 -party Lighting Network\n",
"53.0 % of sampled wealth distributions where feasible on a 90 -party Lighting Network\n",
"81.0 % of sampled wealth distributions where feasible on a 100 -party Lighting Network\n",
"96.0 % of sampled wealth distributions where feasible on a 110 -party Lighting Network\n",
"100.0 % of sampled wealth distributions where feasible on a 120 -party Lighting Network\n",
"100.0 % of sampled wealth distributions where feasible on a 130 -party Lighting Network\n",
"100.0 % of sampled wealth distributions where feasible on a 140 -party Lighting Network\n"
]
}
],
"source": [
"volumes_ln = []\n",
"party_sizes_ln = []\n",
"for party_size in range(10,150,10):\n",
" num_users = len(G)\n",
" extended_ln_channels = {}\n",
" for chan,cap in ln_channels.items():\n",
" users = [x for x in random.sample(range(num_users), party_size)]\n",
" #even if a collision should occure than this channel has just a smaller party\n",
" users.append(chan[0])\n",
" users.append(chan[1])\n",
" t = tuple(sorted(users))\n",
" extended_ln_channels[t]=cap\n",
" max_wealth_per_node = max_wealth_of_users(extended_ln_channels,num_users)\n",
" \n",
" number_of_runs = 100\n",
" possible = 0\n",
" num_users = len(max_wealth_per_node)\n",
" num_coins = sum(extended_ln_channels.values())\n",
" for i in range(number_of_runs):\n",
" wealth_distribution = drs(num_users,num_coins)\n",
" if test(wealth_distribution, extended_ln_channels, max_wealth_per_node):\n",
" possible+=1\n",
" #print(\"The very unlikely case occured that a sampled wealth distribution was fesible on the Lighting Network\")\n",
" \n",
" print(100.0*possible/number_of_runs, \"% of sampled wealth distributions where feasible on a {} -party Lighting Network\".format(party_size))\n",
" volumes_ln.append(possible/number_of_runs)\n",
" party_sizes_ln.append(party_size)\n"
]
},
{
"cell_type": "code",
"execution_count": 75,
"id": "2c71943d-aff4-440f-8169-a800dcd4418e",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(12,9))\n",
"plt.title(\"Impact of the number of peers per channel to the network's ability to facilitate payemnts\")\n",
"\n",
"plt.plot(party_sizes,volumes, \"b-\",label=\"18.2k users, 80k channels, equal capacity\")\n",
"plt.plot(party_sizes1,volumes1,\"b-.\", label=\"18.2k users, 80k channels, random capacity\")\n",
"plt.plot(party_sizes5,volumes5,\"b:\", label=\"18.2k users, 80k channels, zip distribution of capacities\")\n",
"\n",
"plt.plot(party_sizes_ln, volumes_ln,\"r\", label=\"Multi party channel extensions on observed LN snapshot\")\n",
"\n",
"plt.plot(party_sizes3,volumes3, \"y-\", label=\"18.2k users, 18.2k channels, eaqual capacity\")\n",
"plt.plot(party_sizes2,volumes2, \"y-.\",label=\"18.2k users, 18.2k channels, random capacity\")\n",
"plt.plot(party_sizes4,volumes4,\"y:\", label=\"18.2k users, 18.2k channels, zip distribution of capacities\")\n",
"\n",
"plt.xscale(\"log\")\n",
"plt.grid()\n",
"plt.xlabel(\"number of peers in each channel\")\n",
"plt.ylabel(\"relative number of achievable wealth distributions (estimate)\")\n",
"plt.legend()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "1ae8a01a-ed47-4c8e-a7f1-bf55a627fe22",
"metadata": {},
"source": [
"## Random Walks, Service Level Objectives and Failure rates\n",
"\n",
"Making a statement about the relative volume of the polytopes of fesible wealth distributions is interesting. However even if the volume is negligible there are payments around the initial state / wealth distribution possible. Thus one is actually interested in payment failure rates and what payment amounts would lead to what kind of service level objective. \n",
"\n",
"We can start at the wealth distribution that corresponds to a fully balanced (multi party) payment channel network and change the wealth vector by increasing one companent for a payment size while increasing another component. This operation can be considered as a stop of a random walk but also corresponds to a payment attempt. We can test if the resulting vector violates any of the constraints that belong to the two peers (which means the payment would not be feasible) or if the the constraints are fulfilled (which means that the payment is feasible)\n",
"\n",
"Conducting such random works we can estimate which amounts produce what kind of failure rates and service level obejectives assuming various numbers of members of the (multi party) payment channels in the network. \n",
"\n",
"In the follwing we show that when we extend an existing Lighting Network to $80$-party channels then $1$ Millino sats payments are possible in $98.98\\%$"
]
},
{
"cell_type": "code",
"execution_count": 165,
"id": "ae85bcf8-ad12-4c5f-9747-372dec5f36f1",
"metadata": {},
"outputs": [],
"source": [
"def find_center(ln_channels):\n",
" \"\"\"\n",
" creates a welath vector that represents fully balanced channels\n",
" \"\"\"\n",
" wealth = {3745:0}#%magically this node is missing in the channel graph... \n",
" for peers, cap in ln_channels.items():\n",
" size = len(peers)\n",
" for p in peers:\n",
" if p in wealth:\n",
" wealth[p]+=cap/size\n",
" else:\n",
" wealth[p]=cap/size\n",
" #print(len(wealth))\n",
" return [wealth[i] for i in range(len(wealth))]"
]
},
{
"cell_type": "code",
"execution_count": 202,
"id": "8d3c3a5e-6d9c-4910-9537-5b16656fb720",
"metadata": {},
"outputs": [],
"source": [
"def mpc_to_adjacency(ln_channels):\n",
" \"\"\"\n",
" stores the constraints less efficient but allows to index the constraints by users that take place in a payment\n",
"\n",
" in this way don't have to check all constraints but can restrict us to the ones relating to the users between whom the payment occured\n",
" \"\"\"\n",
" channels = {}\n",
" for peers, cap in ln_channels.items():\n",
" for peer in peers:\n",
" if peer in channels:\n",
" channels[peer].append((peers,cap))\n",
" else:\n",
" channels[peer] = [(peers,cap)]\n",
" return channels"
]
},
{
"cell_type": "code",
"execution_count": 203,
"id": "51adf74f-02ea-4fca-b394-2eb1c6524c61",
"metadata": {},
"outputs": [],
"source": [
"def test_change(src, dest, wealth_distribution, constraints):\n",
" \"\"\"\n",
" tests if the wealth distribution is still feasible after `src` paid `dest`\n",
" \"\"\"\n",
" #print(src,dest)\n",
" for peers,cap in constraints[src]:\n",
" #print(peers,cap)\n",
" #print(sum(wealth_distribution[peer] for peer in peers))\n",
" if sum(wealth_distribution[peer] for peer in peers) < cap:\n",
" return False\n",
" #print(\"ok\")\n",
" if wealth_distribution[src]<0:\n",
" #print(wealth_distribution[src])\n",
" return False\n",
" if sum(cap for _,cap in constraints[dest]) < wealth_distribution[dest]:\n",
" return False\n",
" return True\n",
"\n",
"\n",
"def change_wealth(wealth_distribution, payment_size,constraints):\n",
" \"\"\"\n",
" conducts a change of payment_size between two peers in the wealth distribution (aka makes one step in the random walk\n",
"\n",
" returns True if the new wealth distribution was feasible. \n",
" returns False if the new wealth distribution was not feasible and undoes the step\n",
" \"\"\"\n",
" src, dest = 3745,3745# %magically this node is missing in the channel graph... \n",
" while src == 3745 or dest == 3745:\n",
" src,dest = random.sample(range(0, len(wealth_distribution)), 2)\n",
" wealth_distribution[src]-=payment_size\n",
" wealth_distribution[dest]+=payment_size\n",
" \n",
" if test_change(src, dest, wealth_distribution,constraints) == False:#revert wealth vector if not feasible\n",
" wealth_distribution[src]+=payment_size\n",
" wealth_distribution[dest]-=payment_size\n",
" return False\n",
" return True\n",
" #print(src,dest)\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 153,
"id": "2fb1b754-2aad-4e04-b4b4-0573a7392139",
"metadata": {},
"outputs": [],
"source": [
"num_users = len(wealth_distribution)"
]
},
{
"cell_type": "code",
"execution_count": 213,
"id": "a82b22e1-1529-48bb-a77d-57850fc0cbf4",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"With 2 - party channels 1 sats payment have 0.04% failure rate\n",
"\n",
"With 2 - party channels 10 sats payment have 0.04% failure rate\n",
"\n",
"With 2 - party channels 100 sats payment have 0.17% failure rate\n",
"\n",
"With 2 - party channels 1000 sats payment have 2.13% failure rate\n",
"\n",
"With 2 - party channels 10000 sats payment have 16.84% failure rate\n",
"\n",
"With 2 - party channels 100000 sats payment have 71.26% failure rate\n",
"\n",
"With 2 - party channels 1000000 sats payment have 92.23% failure rate\n"
]
}
],
"source": [
"runs = 5000_000\n",
"ln_results = {}\n",
"extended_ln_channels = {}\n",
"for chan,cap in ln_channels.items():\n",
" users = []\n",
" #even if a collision should occure than this channel has just a smaller party\n",
" users.append(chan[0])\n",
" users.append(chan[1])\n",
" t = tuple(sorted(users))\n",
" extended_ln_channels[t]=cap\n",
"#max_wealth_per_node = max_wealth_of_users(extended_ln_channels,num_users)\n",
"constraints = mpc_to_adjacency(extended_ln_channels)\n",
" \n",
"for payment_size in [1,10,100,1000,10_000,100_000,1_000_000]:\n",
" ln_results[payment_size]=[]\n",
"\n",
" failures = 0\n",
" wealth_distribution = find_center(extended_ln_channels)\n",
" for i in range(runs):\n",
" if change_wealth(wealth_distribution,payment_size, constraints) == False:\n",
" failures+=1\n",
" if i %1000==0 and i > 0:\n",
" ln_results[payment_size].append(failures/i)\n",
" #print(failures/i,end=\", \")\n",
" print(\"\\nWith {} - party channels {} sats payment have {:4.2f}% failure rate\".format(2, payment_size, 100.*failures/runs))\n",
" "
]
},
{
"cell_type": "code",
"execution_count": 214,
"id": "dbbe2e9c-6558-4365-88dc-032427a09660",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(12,9))\n",
"plt.title(\"Payment Failure rates for payments of various sizes starting from balanced 2-party channel Networks\")\n",
"for k, vals in ln_results.items():\n",
" plt.plot([1000*i for i in range(len(vals))],vals,label=\"{} sats payments\".format(k),linewidth=3)\n",
"plt.yscale(\"log\")\n",
"plt.grid()\n",
"plt.ylabel(\"failure rates\")\n",
"plt.xlabel(\"attempted payments\")\n",
"plt.legend()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 197,
"id": "c01a0fc9-7c31-43d4-a6de-5814b3a00170",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"With 2 - party channels 1048576 sats payment have 91.87% failure rate\n",
"\n",
"With 3 - party channels 1048576 sats payment have 30.92% failure rate\n",
"\n",
"With 4 - party channels 1048576 sats payment have 9.99% failure rate\n",
"\n",
"With 5 - party channels 1048576 sats payment have 4.84% failure rate\n",
"\n",
"With 10 - party channels 1048576 sats payment have 0.87% failure rate\n",
"\n",
"With 20 - party channels 1048576 sats payment have 0.18% failure rate\n",
"\n",
"With 40 - party channels 1048576 sats payment have 0.05% failure rate\n",
"\n",
"With 80 - party channels 1048576 sats payment have 0.01% failure rate\n"
]
}
],
"source": [
"runs = 100_000\n",
"results = {}\n",
"for k in [0,1,2,3,8,18,38,78]:\n",
" results[k]=[]\n",
" extended_ln_channels = {}\n",
" for chan,cap in ln_channels.items():\n",
" users = []\n",
" if k > 0:\n",
" users = [x for x in random.sample(range(num_users), k)]\n",
" \n",
" #even if a collision should occure than this channel has just a smaller party\n",
" users.append(chan[0])\n",
" users.append(chan[1])\n",
" t = tuple(sorted(users))\n",
" extended_ln_channels[t]=cap\n",
" #max_wealth_per_node = max_wealth_of_users(extended_ln_channels,num_users)\n",
" constraints = mpc_to_adjacency(extended_ln_channels)\n",
" \n",
" for i in range(20,21):\n",
" payment_size=2**i\n",
" failures = 0\n",
" wealth_distribution = find_center(extended_ln_channels)\n",
" for i in range(runs):\n",
" if change_wealth(wealth_distribution,payment_size, constraints) == False:\n",
" failures+=1\n",
" if i %1000==0 and i > 0:\n",
" results[k].append(failures/i)\n",
" #print(failures/i,end=\", \")\n",
" print(\"\\nWith {} - party channels {} sats payment have {:4.2f}% failure rate\".format(k+2, payment_size, 100.*failures/runs))\n",
" "
]
},
{
"cell_type": "code",
"execution_count": 198,
"id": "a5c9dcc1-00f6-475d-8fed-61526878ac4d",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(12,9))\n",
"plt.title(\"Payment Failure rates for payments of 1M sats starting from balanced Networks\")\n",
"for k, vals in results.items():\n",
" plt.plot([1000*i for i in range(len(vals))],vals,label=\"{}-party\".format(k+2),linewidth=3)\n",
"plt.yscale(\"log\")\n",
"plt.grid()\n",
"plt.ylabel(\"failure rates\")\n",
"plt.xlabel(\"attempted payments\")\n",
"plt.legend()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 235,
"id": "841457e7-5e60-4511-8a78-bcaccade411f",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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V1VWYmpqKq1evKssVdf3i4+Mj6tWrpywbFBQkZDKZ+P7774vcPleuXBEAxF9//aWc1qlTJ6Gvry9q1qypnHbixAkBQISEhAghSnZs7N+/XygUCtG6dWuxYcMGsXv3bjFs2DABQKxZs0ZZLu+76urqKiZMmCD27NkjVq5cKczNzfNdyxUk7/M9e/YU27dvF3/88YeoUaOG8judJy0tTXh4eAhDQ0Mxf/58sXfvXjF16lSho6Ojct0hRP5zXknOK5MnTxYAxEcffSR2794tVqxYIapWrSrs7e2LrDcLEhAQUOi1ZF5M//77r5g6dapwcHBQxrFr1y4hkUjE9evXRdeuXfNd474uOTlZWFpaisaNG4t//vlHhIeHiw0bNogxY8aI6OhoZbk3rc/Wr18vAIgJEyaIvXv3irCwMLFs2TIxceLEIuPLO+6cnJxEq1atxMaNG8W///4rvL29hVwuF0ePHlWWVfe66pNPPhGGhob56rPPP/9c6OnpicePHwsh/u/4cnFxEZ9++qnYu3evmDt3rpDJZGLgwIGiYcOGYubMmSI0NFR8+eWXAoD46aeflPNTtw4X4uVxV6VKFeHm5ibWrVsn9uzZI/r37y8AiPDwcCFE0XWsuvuxIjChryAPHjwQAMT777+vVvnLly8LAMoLxjx5lf3XX3+tnObj4yMAiFOnTimnJSYmCplMJvT19VWS93PnzgkA4ueff1ZOy7tA++STT1SW9eeffwoA4o8//igwxtzcXJGVlSXCw8MFAHH+/Hnle0OHDhUAxOrVq/N9rrCE3tbWViQlJSmnPXjwQEilUjF79mzlNG9vb+Hk5CQyMjKU0168eCEsLS3VTugBiK1bt6pMHzVqlJBKpeL27dsFfi4nJ0dkZWWJGTNmCEtLy3zJl0wmEzExMfk+Z2hoqHKSypN3Yti8ebNy2r1794SOjk6+i+zXdevWTTRo0KDIMgVdXL/q4cOHwtXVVdSrV0958RkXFyd0dHTEhAkTVMq+ePFC2NnZqVwYFeT9998Xurq6Ii4uTmV6586dhYGBgUolXtAPKAVZt26dACBWrFhRZDl1j5/XZWdni8zMTFGzZk2V4z9v/7x+0fHPP/8ok7Y8ecfUiRMnVMq6ubmJjh07Kl/Pnj1bSKVSERkZqVLuv//+U7mAEyL/xY06+7wgK1euFACU+2TmzJmiTp06okePHsoLgszMTGFoaKhSpxSUtNWrV6/Ai6OSbKuCdOzYUVSpUkWZfOYZP3680NPTE0+ePFFO27BhgwAgFi5cKL799lshlUrF3r17VT6XV/csWrRIZfqsWbMEAHH48GEhhFD+sPTqhYAQQty5c0fo6+uLL774Qgjx8vg3MTERrVq1KjKpKexCUN3lPH36VOjp6YnevXurlDty5IgAoNaF6evJRkGKqsvKI6EvqG4cPXq0MDIyylffzp8/XwAo9sfDourcgtZ13bp1QiaTqRxLhV10510Ab9y4UWV6ZGSkACCWLFkihPi/7+25c+eKjKEghSX07u7uKonKyZMnBQCVHy8L8u+//woA4sCBAwUuq6zrp8LWqayXU9j585tvvhH6+vrKH8xGjhwpOnXqJDw8PJTnz3v37gkAYvny5UKIl9+vvB8IXhUXFyd0dXXFoEGDlNOKun7J+47l5OSI8ePHC4VCUeg10uuqVKkiPvzwQyGEEBkZGcLQ0FCZkOR9F2bNmiXkcrlITk4WQpTs2KhTp47w8vLKd0OgW7duwt7eXuTk5Agh/u+7+vr15bx58wQAcf/+/ULXIScnRzg4OIiGDRuq1B2xsbFCLperfKeWLVsmAIh//vlHZR5z584VAFTq7sIS+uLOK0+ePBG6urrivffeUymXV++WV0J/8+ZNIZFIxI4dO4QQL2/G+Pr6CiEKr1tederUKQFAbNmyRe3YSlOfjR8/XpiZmam9jDx5x52Dg4NIS0tTTk9KShIWFhbCz8+v0M8Wdl1148YNIZVKxYIFC5TT0tLShKWlpcoPFHnH5+vXor169RIARFBQkMr0Bg0aiIYNGypfq1uHC/HyuNPT01M5F6WlpQkLCwsxevRo5bTC6tjS7Mfywib3ldSBAwcAIF+vn02aNEHdunXzNXmxt7dHo0aNlK8tLCxgY2ODBg0awMHBQTm9bt26AIDbt2/nW+brz10OGDAAOjo6ylgA4ObNmxg0aBDs7Owgk8kgl8vh4+MDAPmarQFA37591VldAC+bshgbGytf29rawsbGRhlrSkoKTp06hV69ekGhUCjLGRkZoXv37movx9jYWOXRBgAYNGgQcnNzERERoZy2f/9++Pn5wdTUVLmu3377LRITE1WazQGAh4cHatWqpXYMvr6+8PT0VGlWvGzZMkgkEnz00UdFfrZJkyY4f/48xo0bhz179iApKUnt5QIvt2PXrl2Rnp6OXbt2wczMDACwZ88eZGdnY8iQIcjOzlb+6enpwcfHR9l8tzD79+9H+/bt4eTkpDJ92LBhSE1NzdfJmjp27doFPT09fPjhh8WWLe74AYDs7Gz88MMPcHNzg0KhgI6ODhQKBa5du1bg8fv6ceLh4QEg//fHzs4OTZo0yVf21XI7duxA/fr10aBBA5Xt27FjR5Xm0QUp7T738/MDAISFhQEAQkND4e/vDz8/P4SGhgJ42bdHSkqKsmxpqbutXpWeno59+/ahd+/eMDAwUNkuXbp0QXp6ukqz0gEDBmDs2LH4/PPPMXPmTHz99dfw9/cvcN6v12eDBg0C8H91644dOyCRSPDBBx+oLNfOzg6enp7K/XH06FEkJSVh3Lhxaj3W8zp1l3Ps2DGkp6fni7tFixZwdnYu8XJfVZK6rKwVVDfu2LEDbdu2hYODg8o2yetTIzw8vFTzBV42f+zRowcsLS2V6zpkyBDk5OTg6tWrxc53x44dMDMzQ/fu3VVia9CgAezs7JT7q0GDBlAoFPjoo4/w22+/FfiYRkl17doVMplMZR2Bor9D6ijv+qmil9O+fXukpaUpH7sKCwvLV6/l1Xl59dqxY8eQlpaW75rKyckJ7dq1y3dNBRR+/ZKeno5evXrhzz//xN69e9Xus6J9+/bKuI4ePYrU1FQEBgbCyspKJe68R95eVdyxcf36dVy5ckUZy+t16f379/M1VS9NnR0TE4P4+HgMGjRIpT50dnZGixYtVMru378fhoaG6Nevn8r0vH1Q0DZ/XXExHj9+HBkZGRgwYIBKuWbNmpVrT/MuLi7w9fXF6tWrkZiYiK1bt6p1nZKnRo0aMDc3x5dffolly5YV+sz9m9ZnTZo0wbNnzzBw4EBs3boVjx8/VjtGAOjTpw/09PSUr42NjdG9e3dEREQoH3NT97rK1dUV3bp1w5IlS5SPwfz1119ITEwscJSibt26qbzOy1+6du2ab/rrdYw6dXieBg0aoGrVqsrXenp6qFWrllr1rrr7sSIwoa8gVlZWMDAwwK1bt9Qqn5iYCAAF9lLu4OCgfD+PhYVFvnIKhSLf9LxEOD09PV95Ozs7ldc6OjqwtLRULis5ORmtW7fGiRMnMHPmTBw8eBCRkZHYtGkTgJedEr3KwMCgRL19Wlpa5pumq6urnO/Tp0+VzwW/rqBphSmobN66563ryZMn0aFDBwAvO0w5cuQIIiMjMWXKFAD517U0vclPnDgR+/btQ0xMDLKysrBixQr069cv33543eTJkzF//nwcP34cnTt3hqWlJdq3b49Tp04Vu8zs7Gz069cPV69eRUhIiErynfdMtbe3N+Ryucrfhg0bij0RJCYmFnq85r1fUo8ePYKDg4Naz6QVd/wAQGBgIKZOnYpevXph+/btOHHiBCIjI+Hp6ZlvnxY0z7y+L14vq86yHz58iKioqHzb1tjYGEKIIrdvafe5s7MzqlevjrCwMOWPKnkXvnfv3kVMTAzCwsKgr6+f72KspNTdVq9KTExEdnY2fvnll3zbpUuXLgCQb7t8+OGHyMrKgo6ODiZOnFjgfPPqrle9/h1/+PChsj55fdnHjx9XLjfvmbvSdhKo7nLy4iro+19cnVCUktZlZa2gOuHhw4fYvn17vu1Rr149APn3ubrzjYuLQ+vWrXHv3j0sWrQIhw4dQmRkpPKHU3XW9eHDh3j27BkUCkW++B48eKCMLe97ZWNjg4CAAFSvXh3Vq1cvsl+L4pTmO1Sa+ebNu6zqp4peTosWLWBgYICwsDBcv34dsbGxynrtxIkTSE5ORlhYGFxdXeHi4gKg5NdURV2/JCQkYM+ePWjevHmJ6k0/Pz/ExcXh2rVrCAsLg5eXF2xsbNCuXTuEhYUpf6Qo6MfV4o6NvPP3Z599lm/bjhs3DkD+71Vp62xAvXoqMTERdnZ2+X4ItbGxgY6OjlrXBMXFmDePN70uLI0RI0Zg+/btCAoKgr6+fr4fLopiamqK8PBwNGjQAF9//TXq1asHBwcHTJs2Tfk8eFnUZ4MHD8bq1atx+/Zt9O3bFzY2NmjatKnyB6TiFLafMzMzkZycDKBk11Uff/wxrl27plx+cHAwmjdvjoYNG+ZbTmH5S0HTX81p1K3D86hTbxVGnf1YUdjLfQWRyWRo3749du3ahbt37xZ7cZh3gN2/fz9f2fj4eFhZWZV5jA8ePICjo6PydXZ2NhITE5Wx7N+/H/Hx8Th48KDyrjwAZUdaryvN3ayimJubQyKRqHTm9Wrs6irq83nr+vfff0Mul2PHjh0qv04WNoROadZ10KBB+PLLLxEcHIxmzZrhwYMHKp3jFEZHRweBgYEIDAzEs2fPEBYWhq+//hodO3bEnTt3iuyJ96OPPsK+ffsQEhKSb3iWvGPqv//+K9UdQUtLS9y/fz/f9LxOdkpzzFpbW+Pw4cPIzc0tccc1Bfnjjz8wZMgQ/PDDDyrTHz9+rGypUF6srKygr6+v0tnK6+8X5k32efv27bF161aEh4cjNzcXvr6+MDY2hoODA0JDQxEWFobWrVsX2FFneTM3N4dMJsPgwYMLPfbzLsiBl61LBg8ejFq1auHhw4cYOXIktm7dmu8zr9ddQP7vuJWVFSQSCQ4dOlTguudNyxstorQd3Ki7nLy4CqrLHjx4UOq7TSWty4qTN4+MjAyV9SksESuobrSysoKHhwdmzZpV4GdebVVWmILmu2XLFqSkpGDTpk0qddi5c+eKnd+rsVlaWhY64syrrYBat26N1q1bIycnB6dOncIvv/yCSZMmwdbWVuuG4nyT+qmil6NQKNCqVSuEhYWhSpUqsLOzg7u7O1xdXQG87FBt3759Knf4Xr2mel1B11RFndOrVq2KoKAg9O7dG3369MG///6r8t0qTF7HemFhYcrWUnnTv/nmG0RERCAjI6NUraXy4p88eTL69OlTYJnatWuXeL6vK66eer3siRMnIIRQ2Z4JCQnIzs4uk2MqL57CruvK8y59nz59EBAQgDlz5mDUqFElHmXD3d0df//9N4QQiIqKwtq1azFjxgzo6+vjq6++KpP6DACGDx+O4cOHIyUlBREREZg2bRq6deuGq1evFnutV9h+VigUMDIyAlCy66p27dqhfv36WLx4MYyMjHDmzBn88ccfJVqf4pSkDi8Lxe3HisI79BVo8uTJEEJg1KhRyMzMzPd+VlYWtm/fDuDlQQ8g34EeGRmJy5cvF9njamn9+eefKq//+ecfZGdnK3sJzauQX78o/fXXX8s8loIYGhqicePG2LJli8r2S05OLrA3/MK8ePEC27ZtU5n2119/QSqVok2bNgBerquOjo5KE7e0tDT8/vvvJYq5qF/59PT0lM01g4KC0KBBA7Rs2bJE8zczM0O/fv0QEBCAJ0+eFDlG5jfffIM1a9Zg5cqVBV4wdOzYETo6Orhx4wYaN25c4F9R2rdvr/zR51Xr1q2DgYEBmjVrVqJ1A4DOnTsjPT29zMY/l0gk+Y7fnTt34t69e2Uy/6J069YNN27cgKWlZYHbVt0Lj5Lsc+DlXaGHDx9i4cKFaNasmfJk1r59e2zevBmRkZFqXUCq+4t1SRgYGKBt27Y4e/YsPDw8CtwuryblY8aMQVxcHDZt2oRVq1Zh27ZtWLBgQYHzfr0+++uvvwBAWZ9169YNQgjcu3evwOW6u7sDeHk30NTUFMuWLcvXK/yrCru7pe5ymjVrBj09vXxxHz169I2aXJdVXZYn7ziNiopSmZ537lJHt27dlEPsFbRN1EnoC1LQOUoIgRUrVuQrW9jx3K1bNyQmJiInJ6fA2ApKimQyGZo2baq8c3bmzJlSxV9aZXEnv6zqp7JcTlF1jp+fH06fPo2NGzcq6y9DQ0M0a9YMv/zyC+Lj41XqtebNm0NfXz/fNdXdu3eVj4uVRIcOHbBnzx5ERESgW7duao0EYG9vDzc3N2zcuBGnT59WJvT+/v549OgRgoKCYGJiAm9v7xLFArxM1mvWrInz588Xev4ui0Smdu3asLe3x/r161Xqw9u3b+cbeaZ9+/ZITk7O9+NhXo/4ZXEd27RpU+jq6mLDhg0q048fP/7Gj6oUR19fH99++y26d++OsWPHlno+EokEnp6eWLBgAczMzJT1R1nUZ68yNDRE586dMWXKFGRmZuLSpUvFxrZp0yaVu98vXrzA9u3b0bp1a+U5paTXVRMnTsTOnTsxefJk2NraKnuQLyulqcOLo04dW9h+rCi8Q1+BmjdvjqVLl2LcuHFo1KgRxo4di3r16iErKwtnz57F8uXLUb9+fXTv3h21a9fGRx99hF9++QVSqRSdO3dGbGwspk6dCicnJ3zyySdlHt+mTZugo6MDf39/XLp0CVOnToWnp6fy2aQWLVrA3NwcY8aMwbRp0yCXy/Hnn3/i/PnzZR5LYWbMmIGuXbuiY8eO+Pjjj5GTk4Mff/wRRkZGePLkiVrzsLS0xNixYxEXF4datWohJCQEK1aswNixY5XP0XTt2hVBQUEYNGgQPvroIyQmJmL+/Pklvovp7u6OgwcPYvv27bC3t4exsbFKZTJu3DjMmzcPp0+fxsqVK9WaZ/fu3VG/fn00btwY1tbWuH37NhYuXAhnZ2eVMVFf9e+//2LWrFno168fatWqpfJcsq6uLry8vFCtWjXMmDEDU6ZMwc2bN9GpUyeYm5vj4cOHOHnyJAwNDZVDQxVk2rRpymdjv/32W1hYWODPP//Ezp07MW/ePJiamqq51f7PwIEDsWbNGowZMwYxMTFo27YtcnNzceLECdStW7fEd8G6deuGtWvXok6dOvDw8MDp06fx448/VsiY65MmTcLGjRvRpk0bfPLJJ/Dw8EBubi7i4uKwd+9efPrpp2jatGmBny3NPs/Trl07SCQS7N27V2X/+fn5YejQocr/i5P3K/SGDRvg6uoKPT09ZTL6JhYtWoRWrVqhdevWGDt2LKpVq4YXL17g+vXr2L59O/bv3w8AWLlyJf744w+sWbMG9erVQ7169TB+/Hh8+eWXaNmypcqzuwqFAj/99BOSk5Ph7e2No0ePYubMmejcuTNatWoFAGjZsiU++ugjDB8+HKdOnUKbNm1gaGiI+/fv4/Dhw3B3d8fYsWNhZGSEn376CSNHjoSfnx9GjRoFW1tbXL9+HefPn8fixYuV2wcA5s6di86dO0Mmk8HDw0Pt5Zibm+Ozzz7DzJkzMXLkSPTv3x937tzBd99990ZN7suqLsvTpUsXWFhYYMSIEZgxYwZ0dHSwdu1a3LlzR+15zJgxA6GhoWjRogUmTpyI2rVrIz09HbGxsQgJCcGyZctK9Z309/eHQqHAwIED8cUXXyA9PR1Lly7F06dP85V1d3fHpk2bsHTpUjRq1AhSqRSNGzfG+++/jz///BNdunTBxx9/jCZNmkAul+Pu3bs4cOAAevbsid69e2PZsmXYv38/unbtiqpVqyI9PV151/lN+6Moqfr16wMAli9fDmNjY+jp6cHFxaXApqSFeZP6qSRKspyizp/t27dHTk4O9u3bpzI0qp+fH6ZNmwaJRKK8MQK8/CF06tSp+PrrrzFkyBAMHDgQiYmJmD59OvT09DBt2rQSr0urVq2wb98+dOrUCR06dEBISEix57n27dvjl19+gb6+vvIHfBcXF7i4uGDv3r3o0aMHdHRKd2n+66+/onPnzujYsSOGDRsGR0dHPHnyBJcvX8aZM2eKHA5XXVKpFN9//z1GjhyJ3r17Y9SoUXj27FmB9dSQIUMQHByMoUOHIjY2Fu7u7jh8+DB++OEHdOnSpUy+JxYWFggMDMTs2bNhbm6O3r174+7du5g+fTrs7e3Vatl3+/ZtREZGAgBu3LgB4GVLReDlD5hF3czIazlXUjt27MCSJUvQq1cvuLq6QgiBTZs24dmzZyo/9LxpfZbXcqBly5awt7fHgwcPMHv2bJiamqr1w5FMJoO/vz8CAwORm5uLuXPnIikpSeVaoqTXVR988AEmT56MiIgIfPPNNyp9YpUFdevwkiisjj127Fix+7HCVHAnfCRe9jQ/dOhQUbVqVaFQKJTDw3377bfKoWaEeNmj5dy5c0WtWrWEXC4XVlZW4oMPPhB37txRmV9hPRs7OzuLrl275puO13oYz+u1+PTp06J79+7CyMhIGBsbi4EDB4qHDx+qfPbo0aOiefPmwsDAQFhbW4uRI0eKM2fO5BsWZejQocLQ0LDA9S+sl/uCej1/vedTIYTYvHmzcHd3Vw5NNWfOHDFx4kRhbm5e4PJelbetDh48KBo3bix0dXWFvb29+Prrr/P1DLt69WpRu3ZtoaurK1xdXcXs2bPFqlWrCuzJuaDtLMTLfd2yZUthYGBQaI+rvr6+wsLCQmUojaL89NNPokWLFsLKykq5DUaMGCFiY2OVZV7vcTpvHxf09/q+2LJli2jbtq0wMTERurq6wtnZWfTr10+EhYUVG9uFCxdE9+7dhampqVAoFMLT01PluMhT2P4uSFpamvj2229FzZo1hUKhEJaWlqJdu3Yqw6aoe/w8ffpUjBgxQtjY2AgDAwPRqlUrcejQoXy9Tr/am+2r8np+fXWdCvv+FXScJycni2+++UbUrl1bKBQK5XBtn3zyicrwZa/Hrc4+L4qXl5cAoDKkU14v0K/3dC5EwT2Zx8bGig4dOghjY2OV46Yk26owt27dEh9++KFwdHQUcrlcWFtbixYtWoiZM2cKIYSIiooS+vr6+eqC9PR00ahRI1GtWjXlaA15dU9UVJTw9fUV+vr6wsLCQowdO1bZc/SrVq9eLZo2bSoMDQ2Fvr6+qF69uhgyZIjKqCFCCBESEiJ8fHyEoaGhMDAwEG5ubsrhGIV42Wv1yJEjhbW1tZBIJPnqCXWWk5ubK2bPni2cnJyEQqEQHh4eYvv27QX2Pl+Qwo5FdesydXq5F+JlD9stWrQQhoaGwtHRUUybNk05ooK6deOjR4/ExIkThYuLi5DL5cLCwkI0atRITJkypcD99Kqi5rt9+3bh6ekp9PT0hKOjo/j888/Frl278vVQ/OTJE9GvXz9hZmam3F95srKyxPz585XzMTIyEnXq1BGjR48W165dE0K87EW7d+/ewtnZWejq6gpLS0vh4+Mjtm3bVmTsQhTey/2PP/6Yr2xB278gCxcuFC4uLkImk6l878qjfipsncp6OUWdP3Nzc4WVlZUAoDKST96oEK/2ev2qlStXCg8PD+Vye/bsmW9UhaKuXwpaz4sXLwo7OzvRsGFDlSGFC7J161YBQPj7+6tMHzVqVL4RiIQo+bFx/vx5MWDAAGFjYyPkcrmws7MT7dq1E8uWLVOWybs+eH2kgby6vKDREl63cuVK5Tm5Vq1aYvXq1QXu68TERDFmzBhhb28vdHR0hLOzs5g8ebJyhII8hfVyr855JTc3V8ycOVNUqVJFWW/u2LFDeHp65hs1pCB526OgP3Viep06vdxfuXJFDBw4UFSvXl3o6+sLU1NT0aRJE7F27VqVcm9an/3222+ibdu2wtbWVigUCuHg4CAGDBggoqKiiowvbzvPnTtXTJ8+Xbltvby8lEM45lH3uupVw4YNEzo6OuLu3bv53ivs+My7Lnn9O1bQ91WdOlyIws8lBcVeUB2r7n6sCBIhimhDSO+E7777DtOnT8ejR4/K5dn88paVlYUGDRrA0dERe/fuLbKsr68vHj9+jIsXL1ZQdEVLSEiAs7MzJkyYgHnz5mk6HCKtN2zYMPz333/KDnuIiOjdcuvWLdSpUwfTpk3D119/relwtE5sbCxcXFzw448/4rPPPivTeWdmZqJatWpo1aoV/vnnnzKd97uMTe5J64wYMQL+/v7K5kPLli3D5cuX36h34Yp29+5d3Lx5Ez/++COkUik+/vhjTYdEREREpFXOnz+P9evXo0WLFjAxMUFMTAzmzZsHExMTjBgxQtPh0f/36NEjxMTEYM2aNXj48GGFdhj3LmBCT1rnxYsX+Oyzz/Do0SPI5XI0bNgQISEhFf7c4ptYuXIlZsyYgWrVquHPP/9UGV2AiIiIiIpnaGiIU6dOYdWqVXj27BlMTU3h6+uLWbNmlfvQdaS+nTt3Yvjw4bC3t8eSJUsKHKqOSo9N7omIiIiIiIi0EIetIyIiIiIiItJCTOiJiIiIiIiItBATeiIiIiIiIiItxE7xipGbm4v4+HgYGxtDIpFoOhwiIiIiIiJ6ywkh8OLFCzg4OEAqLfw+PBP6YsTHx8PJyUnTYRAREREREdE75s6dO6hSpUqh7zOhL4axsTGAlxvSxMREw9EQEVFlkJWVhb1796JDhw6Qy+WaDoeIiIhKqLKfy5OSkuDk5KTMRwvDhL4Yec3sTUxMmNATERGAlxcBBgYGMDExqZQXAURERFQ0bTmXF/fYNzvFIyIiIiIiItJCTOiJiIiIiIiItBATeiIiIiIiIiItxISeiIiIiIiISAsxoSciIiIiIiLSQkzoiYiIiIiIiLQQE3oiIiIiIiIiLcSEnoiIiIiIiEgLMaEnIiIiIiIi0kJM6ImIiIiIiIi0EBN6IiIiIiIiIi3EhJ6IiIiIiIhICzGhJyIiIiIiItJCTOiJiIiIiIiItBATeiIiIiIiIiItxISeiIiIiIiISAsxoSciIiIiIiLSQu9EQr9jxw7Url0bNWvWxMqVKzUdDhEREREREdEb09F0AOUtOzsbgYGBOHDgAExMTNCwYUP06dMHFhYWmg6NiIiIiIiIqNTe+jv0J0+eRL169eDo6AhjY2N06dIFe/bs0XRYRERERERERG+k0if0ERER6N69OxwcHCCRSLBly5Z8ZZYsWQIXFxfo6emhUaNGOHTokPK9+Ph4ODo6Kl9XqVIF9+7dq4jQiYiIiIiIiMpNpU/oU1JS4OnpicWLFxf4/oYNGzBp0iRMmTIFZ8+eRevWrdG5c2fExcUBAIQQ+T4jkUjKNWYiIiIiIiKi8lbpn6Hv3LkzOnfuXOj7QUFBGDFiBEaOHAkAWLhwIfbs2YOlS5di9uzZcHR0VLkjf/fuXTRt2rTQ+WVkZCAjI0P5OikpCQCQlZWFrKysN10dIiJ6C+SdD3heICIi0k6V/VyublyVPqEvSmZmJk6fPo2vvvpKZXqHDh1w9OhRAECTJk1w8eJF3Lt3DyYmJggJCcG3335b6Dxnz56N6dOn55u+d+9eGBgYlO0KEBGRVgsNDdV0CERERPQGKuu5PDU1Va1yWp3QP378GDk5ObC1tVWZbmtriwcPHgAAdHR08NNPP6Ft27bIzc3FF198AUtLy0LnOXnyZAQGBipfJyUlwcnJCR06dICJiUn5rEgpHbiSgG+3XcLT1Mx875kbKDCjRz20rWOjgciIiN5uWVlZCA0Nhb+/P+RyuabDISIiohKq7OfyvJbixdHqhD7P68/ECyFUpvXo0QM9evRQa166urrQ1dXNN10ul1eqHR0a/RBj/jqHXAEA+fsEePAiC2P+OoflgxvDz8023/tERPTmKtu5gYiIiEqmsp7L1Y2p0neKVxQrKyvIZDLl3fg8CQkJ+e7av03SMnPw5cao/5/MFy5XAF9sjEJ6Vk7FBEZEREREREQVRqsTeoVCgUaNGuV77iE0NBQtWrTQUFTlb3tUPJ6k5G9mX5AnKZnYdj6+nCMiIiIiIiKiilbpm9wnJyfj+vXryte3bt3CuXPnYGFhgapVqyIwMBCDBw9G48aN0bx5cyxfvhxxcXEYM2aMBqMuXwdjEkpUPjzmEQY0diqnaIiIiIiIiEgTKn1Cf+rUKbRt21b5Oq/DuqFDh2Lt2rV47733kJiYiBkzZuD+/fuoX78+QkJC4OzsrKmQy92z1JINrVBQp3lERERERESk3Sp9Qu/r6wshin5YfNy4cRg3blyZLjc4OBjBwcHIyal8z5+bGZSs0wZzA0U5RUJERERERESaotXP0JengIAAREdHIzIyUtOh5ONbu2RD0fnUti6nSIiIiIiIiEhTmNBroe4eDrAwVO+uu6WhAj08Hco5IiIiIiIiIqpoTOi1kL5Chrl9PSDNP/y8CqkEmNvXA3pyWcUERkRERERERBWGCb2W8nezxfLBjQu9U29pqMDywY3h52ZbwZERERERERFRRaj0neJR4fzcbHG0ZjtsOx+P8JhHeJqaCXMDBXxqW6OHpwPvzBMREREREb3FmNBrOT25DAMaO3GceSIiIiIioncMm9wTERERERERaSEm9IUIDg6Gm5sbvL29NR0KERERERERUT5M6AtRmcehJyIiIiIiImJCT0RERERERKSFmNATERERERERaSEm9ERERERERERaiAk9ERERERERkRZiQk9ERERERESkhZjQExEREREREWkhJvREREREREREWogJfSGCg4Ph5uYGb29vTYdCRERERERElA8T+kIEBAQgOjoakZGRmg6FiIiIiIiIKB8m9ERERERERERaiAk9ERERERERkRZiQk9ERERERESkhZjQExEREREREWkhJvREREREREREWogJPREREREREZEWYkJPREREREREpIWY0BMRERERERFpISb0RERERERERFqICX0hgoOD4ebmBm9vb02HQkRERERERJQPE/pCBAQEIDo6GpGRkZoOhYiIiIiIiCgfJvREREREREREWogJPREREREREZEWYkJPREREREREpIWY0BMRERERERFpISb0RERERERERFqICT0RERERERGRFmJCT0RERERERKSFmNATERERERERaSEm9ERERERERERaiAk9ERERERERkRZiQk9ERERERESkhZjQFyI4OBhubm7w9vbWdChERERERERE+TChL0RAQACio6MRGRmp6VCIiIiIiIiI8mFCT0RERERERKSFmNATERERERERaSEm9ERERERERERaiAk9ERERERERkRZiQk9ERERERESkhZjQExEREREREWkhJvREREREREREWogJPREREREREZEWYkJPREREREREpIWY0BMRERERERFpISb0RERERERERFqICT0RERERERGRFmJCT0RERERERKSFmNAXIjg4GG5ubvD29tZ0KERERERERET5MKEvREBAAKKjoxEZGanpUIiIiIiIiIjyYUJPREREREREpIWY0BMRERERERFpISb0RERERERERFqICT0RERERERGRFmJCT0RERERERKSFmNATERERERERaSEm9ERERERERERaiAk9ERERERERkRZiQk9ERERERESkhZjQExEREREREWkhHU0HQFSZpWXmYHtUPA7GJOBZahbMDOTwrW2D7h4O0FfINB0eERERERG9w5jQExUiNPohvtwYhScpmSrTQy48wJxdVzC3rwf83Ww1FB0REREREb3r2OSeqACh0Q8x+vdT+ZL5PE9SMjH691MIi35YwZERERERERG9xISe6DVpmTn4cmMUckXR5XIF8MXGKKRn5VRMYERERERERK9gQk/0mu1R8YXemX/dk5RMbDsfX84RERERERER5ceEnug1B2MSSlQ+POZROUVCRERERERUOCb0RK95lppVovJPU9W7m09ERERERFSWmNATvcbMQF6i8uYGinKKhIiIiIiIqHBM6AsRHBwMNzc3eHt7azoUqmC+tW1KVN6ntnU5RUJERERERFQ4JvSFCAgIQHR0NCIjIzUdClWw7h4OsDBU7667paECPTwdyjkiIiIiIiKi/JjQE71GXyHD3L4ekEqKLieVAHP7ekBPLquYwIiIiIiIiF7BhJ6oAP5utlg+uHGhd+otDRVYPrgx/NxsKzgyIiIiIiKil3Q0HQBRZeXnZoujNdth2/l4hMc8wtPUTJgbKOBT2xo9PB14Z56IiIiIiDSKCT1REfTkMgxo7IQBjZ00HQoREREREZEKNrknIiIiIiIi0kJM6ImIiIiIiIi0EBN6IiIiIiIiIi3EhJ6IiIiIiIhICzGhJyIiIiIiItJCTOjfEpvO3EVY9ENNh0FEREREREQVhMPWvQXin6Vh6paLSMnMQVcPe3zXvR6sjXU1HRYRERERERGVI96hfwuYGyjwQTNnyKQS7Iy6D7+gcPwTeQdCCE2HRkREREREROWECf1bQF8hw+QudbE1oCXqOZjgeVoWvtgYhf+tPIHYxymaDo+IiIiIiIjKARP6t0h9R1NsDWiJyZ3rQE8uxdEbiei4MAJLDl5HVk6upsMjIiIiIiKiMsSE/i2jI5NitE917JnUBq1qWCEjOxfzdsegx+IjiLr7TNPhERERERERURlhQv+WcrY0xO8jmmB+f0+YGchx+X4SegUfwcwd0UjNzNZ0eERERERERPSGmNC/xSQSCfo1qoKwQB/08HRArgBWHr6FDgsiEHH1kabDIyIiIiIiojfAhP4dYGWki58HemHNMG84munj7tM0DFl9EoEbzuFJSqamwyMiIiIiIqJSYEL/DmlbxwZ7P2mD4S2rQSIBNp29B7+gcGw5e49D3BEREREREWkZJvTvGENdHUzrXg+bxrZAbVtjPEnJxKQN5zB0TSTuPEnVdHhERERERESkJib07yivqubYPqEVPutQCwodKSKuPkKHBRFYeegmcnJ5t56IiIiIiKiyY0L/DlPoSDG+XU3s+rg1mrhYIC0rBzN3XkafJUcQHZ+k6fCIiIiIiIioCEzoCdWtjfD3qGaY3ccdxno6OH/3OXosPox5u68gPStH0+ERERERERFRAZjQEwBAKpVgYJOq2Bfog8717ZCdK7Dk4A10WhiBozceazo8IiIiIiIieg0TelJhY6KHpR80wq+DG8HWRBexiakYtOIEvvwvCs9TszQdHhEREREREf1/TOipQB3r2SE00Af/a1oVALDh1B20DwrHzqj7HOKOiIiIiIioEmBCX4jg4GC4ubnB29tb06FojImeHLN6u+Of0c1R3doQj5MzEPDXGYxadxr3n6dpOjwiIiIiIqJ3GhP6QgQEBCA6OhqRkZGaDkXjmrhYIOTj1pjYvibkMgnCLj+Ef1AEfj8Wi1wOcUdERERERKQRTOhJLbo6MgT618LOia3hVdUMyRnZmLr1Evr/egzXHr7QdHhERERERETvHCb0VCK1bI3x35gWmN6jHgwVMpy+/RRdfj6EBaFXkZHNIe6IiIiIiIgqChN6KjGZVIKhLaohNNAH7evYICtHYNG+a+j682Gcin2i6fCIiIiIiIjeCUzoqdQczPSxcmhjLB7kBSsjBa4nJKPfsmOYuuUiXqRziDsiIiIiIqLyxISe3ohEIkE3DweEBfpgQOMqAIDfj9+Gf1AEQqMfajg6IiIiIiKitxcTeioTZgYKzOvnib9GNoWzpQEeJKVj1LpTGPfnaSS8SNd0eERERERERG8dJvRUplrUsMKeSW0wxqc6ZFIJQi48gN9P4fj7ZByE4BB3REREREREZYUJPZU5PbkMX3Wug23jW8Ld0RRJ6dn4atMFDFxxHLcep2g6PCIiIiIiorcCE3oqN/UcTLF5XAt807Uu9OUyHL/5BB0XRiD4wHVk5eRqOjwiIiIiIiKtxoSeypWOTIqRrV2x95M2aF3TCpnZufhxTwy6/3IY5+8803R4REREREREWosJPVUIJwsDrPuwCRa85wlzAzmuPHiB3kuOYMb2aKRkZGs6PCIiIiIiIq3DhJ4qjEQiQW+vKggL9EGvBg7IFcDqI7fQYUEEDsYkaDo8IiIiIiIircKEniqcpZEuFr7vhbXDveFopo97z9IwbE0kJv19FonJGZoOj4iIiIiISCswoSeN8a1tg72ftMGIVi6QSoAt5+LhFxSOTWfucog7IiIiIiKiYjChJ40y1NXB1G5u2DyuJerYGeNpahYC/zmPIatP4s6TVE2HR0REREREVGkxoadKwdPJDNsntMIXnWpDoSPFoWuP0WFBBFYeuolsDnFHRERERESUDxN6qjTkMinG+dbAnklt0MzVAmlZOZi58zJ6LzmKS/HPNR0eERERERFRpcKEniodFytDrB/VDHP7usNETwcX7j1Hj8VHMGfXFaRn5Wg6PCIiIiIiokqBCT1VShKJBO95V0XYpz7o6m6PnFyBZeE30HFhBI5ef6zp8IiIiIiIiDSOCT1VajbGegj+X0OsGNIYdiZ6uJ2YikErT+Dzf8/jWWqmpsMjIiIiIiLSGCb0pBX83WwRGtgGg5s5QyIB/j19F35B4dgRFc8h7oiIiIiI6J3EhJ60hrGeHN/3qo//xjRHDRsjPE7OxPi/zmLkb6cQ/yxN0+ERERERERFVKCb0pHUaOVtg58RWmORXE3KZBPuuJMA/KBy/HY1FTi7v1hMRERER0buBCT1pJV0dGSb51ULIxNZo5GyOlMwcTNt2Cf2WHcXVhy80HR4REREREVG5Y0JPWq2mrTH+Hd0c3/esByNdHZyNe4auPx9C0N4YZGRziDsiIiIiInp7MaEnrSeVSjC4eTWEBraBX11bZOUI/Lz/OrosOoTI2CeaDo+IiIiIiKhcMKGnt4a9qT5WDGmEJf9rCGtjXdx4lIL+y45hyuYLSErP0nR4REREREREZYoJPb1VJBIJurjbI+wTH7zv7QQA+PNEHPyDwrHn0gMNR0dERERERFR2mNDTW8nUQI45fT2wflQzuFgZ4mFSBkb/fhpjfj+Nh0npmg6PiIiIiIjojTGhp7da8+qW2PVxawS0rQ4dqQS7Lz2AX1A4/joRh1wOcUdERERERFqMCT299fTkMnzesQ62jW8FzyqmeJGeja83X8D7K47jxqNkTYdHRERERERUKkzo6Z3h5mCCTeNaYmo3N+jLZTh56wk6LzqExfuvITM7V9PhERERERERlQgTenqnyKQSjGjlgr2ftIFPLWtkZudi/t6r6LH4MM7GPdV0eERERERERGpjQk/vJCcLA6wd7o1F7zeAhaECVx68QJ+lRzF9+yWkZGRrOjwiIiIiIqJiMaGnd5ZEIkHPBo4IC/RBn4aOEAJYcyQWHRZE4MCVBE2HR0REREREVCQm9PTOszBUIGhAA6z7sAmqmOvj3rM0DF8biYnrz+JxcoamwyMiIiIiIioQE3qi/69NLWvs/aQNRrV2gVQCbDsfD7+gcPx3+i6E4BB3RERERERUuTChJ3qFgUIHU7q6YUtAS7jZm+BZahY++/c8Bq86ibjEVE2HR0REREREpMSEnqgAHlXMsHV8S3zZqQ50daQ4fP0xOiwMx/KIG8jO4RB3RERERESkeUzoiQohl0kx1rc69kxqgxbVLZGelYsfQq6g15IjuHjvuabDIyIiIiKid9w7kdD37t0b5ubm6Nevn6ZDIS1UzcoQf45sinn9PGCqL8fFe0noGXwEs0MuIy0zR9PhlYu0zBz8c+oOxv15GoNWHMe4P0/jn1N33tr1JSIiIiLSRu9EQj9x4kSsW7dO02GQFpNIJBjQ2AlhgT7o5mGPnFyBXyNuouPCCBy+9ljT4ZWp0OiHaDl3P774LwohFx7g6I1EhFx4gC/+i0LLufsRGv1Q0yESERERERHekYS+bdu2MDY21nQY9BawNtbF4kENsWpoY9ib6iHuSSo+WHUCn/5zHk9TMjUd3hsLjX6I0b+fwpNC1uVJSiZG/34KYUzqiYiIiIg0TuMJfUREBLp37w4HBwdIJBJs2bIlX5klS5bAxcUFenp6aNSoEQ4dOlTxgRK9on1dW4QG+mBoc2dIJMDGM3fhFxSObefjtXaIu7TMHHy5MQq5xYSfK4AvNkYhPYvN74mIiIiINEnjCX1KSgo8PT2xePHiAt/fsGEDJk2ahClTpuDs2bNo3bo1OnfujLi4OGWZRo0aoX79+vn+4uPjK2o16B1kpKuD6T3r478xLVDL1giJKZmYuP4sPlwbiXvP0jQdXoltj4ov9M78656kZGLbeX6/iIiIiIg0SUfTAXTu3BmdO3cu9P2goCCMGDECI0eOBAAsXLgQe/bswdKlSzF79mwAwOnTp8ssnoyMDGRkZChfJyUlAQCysrKQlZVVZsuht4eHgxE2j2mG5YduYUn4TRyIeQT/oHAE+tXAB02rQiaVaDpEtRyKeQBdmfqtCw7HPERvT7tyjIio8so7H/C8QEREpJ0q+7lc3bg0ntAXJTMzE6dPn8ZXX32lMr1Dhw44evRouSxz9uzZmD59er7pe/fuhYGBQbksk94OrgA+dwf+viHDzRc5mBkSg98jruB91xw4GGo6uuL5GQF+TUryiXsICblXXuEQaYXQ0FBNh0BERERvoLKey1NTU9UqV6kT+sePHyMnJwe2trYq021tbfHgwQO159OxY0ecOXMGKSkpqFKlCjZv3gxvb+8Cy06ePBmBgYHK10lJSXByckKHDh1gYmJSuhWhd8rQXIENp+9i3p5ruJ2cjZ8uyjGqdTUE+LhCVy7TdHiFCvznHPaWoLO7jm52+GmAZzlGRFR5ZWVlITQ0FP7+/pDL5ZoOh4iIiEqosp/L81qKF6dSJ/R5JBLVJstCiHzTirJnzx61y+rq6kJXVzffdLlcXil3NFVOQ1q4okM9B0zbdhF7Lj3E0vBb2HMpAbP7uKOpq6WmwytQ69p22H4hQe3yrWrb8jtB7zyeG4iIiLRbZT2XqxuTxjvFK4qVlRVkMlm+u/EJCQn57toTVTZ2pnr4dXBjLPugIWyMdXHzcQreW34ckzddwPO0yvesTncPB1gYKtQqa2moQA9Ph3KOiIiIiIiIilKpE3qFQoFGjRrle64hNDQULVq00FBURCXTqb49QgN9MLBJVQDA+pNx8A8Kx+6L9zUcmSp9hQxz+3qguD78pBJgbl8P6FXixweIiIiIiN4FGk/ok5OTce7cOZw7dw4AcOvWLZw7d045LF1gYCBWrlyJ1atX4/Lly/jkk08QFxeHMWPGaDBqopIx1Zdjdh93bPioGVytDJHwIgNj/jiDj9adwoPn6ZoOT8nfzRbLBzcu9E69paECywc3hp8bW8gQEREREWmaxp+hP3XqFNq2bat8ndch3dChQ7F27Vq89957SExMxIwZM3D//n3Ur18fISEhcHZ21lTIRKXW1NUSIR+3RvCB61h68Ab2Rj/EsRuJ+LJzHQxqUhXSSjDEnZ+bLY7WbIdt5+MRHvMIT1MzYW6ggE9ta/TwdOCdeSIiIiKiSkIihFB/4Ol3SHBwMIKDg5GTk4OrV6/i+fPn7OWeytSVB0n4auMFnLvzDADgXc0cs/t4oIaNkWYDI6JiZWVlISQkBF26dKmUHekQERFR0Sr7uTwpKQmmpqbF5qEab3JfWQUEBCA6OhqRkZGaDoXeUnXsTLBxbAtM6+4GA4UMkbFP0WXRIfy87xoys3M1HR4REREREVVyTOiJNEgmlWB4SxeEBvqgbW1rZObkIij0Krr9cginbz/VdHhERERERFSJMaEnqgQczfSxepg3fh7oBUtDBa4+TEa/ZUcxbetFJGdkazo8IiIiIiKqhJjQE1USEokEPTwdEBbog36NqkAI4Ldjt+EfFI59lx9qOjwiIiIiIqpkmNATVTLmhgrM7++JP0Y0RVULA9x/no4Rv53C+L/O4NGLDE2HR0RERERElQQTeqJKqlVNK+yZ1Aaj27hCJpVgR9R9+AWF459Td8DBKYiIiIiIiAk9USWmr5Bhcpe62BrQEvUcTPA8LQtf/BeF/608gdjHKZoOj4iIiIiINIgJPZEWqO9oiq0BLfF1lzrQk0tx9EYiOi6MwNKDN5CVwyHuiIiIiIjeRUzoCxEcHAw3Nzd4e3trOhQiAICOTIqP2lTH3kk+aFXDChnZuZi7+wp6Lj6CC3efazo8IiIiIiKqYEzoCxEQEIDo6GhERkZqOhQiFVUtDfD7iCb4qb8nzAzkiL6fhJ7BhzFzRzRSMznEHRERERHRu4IJPZEWkkgk6NuoCsICfdCzgQNyBbDy8C10WBCBiKuPNB0eERERERFVACb0RFrMykgXi973wprh3nA008fdp2kYsvokAjecw5OUTE2HR0RERERE5YgJPdFboG1tG+z9pA2Gt6wGiQTYdPYe/ILCseXsPQ5xR0RERET0lmJCT/SWMNTVwbTu9bBpbAvUsTPGk5RMTNpwDsPWROLOk1RNh0dERERERGWMCT3RW8arqjm2T2iFzzvWhkJHivCrj9BhQQRWHrqJnFzerSciIiIielswoSd6C8llUgS0rYHdH7dGUxcLpGXlYObOy+iz5Aii45M0HR4REREREZUBJvREbzFXayOsH9UMs/u4w1hPB+fvPkePxYcxb/cVpGflaDo8IiIiIiJ6A0zoCxEcHAw3Nzd4e3trOhSiNyKVSjCwSVXsC/RB5/p2yM4VWHLwBjotjMDRG481HR4REREREZUSE/pCBAQEIDo6GpGRkZoOhahM2JjoYekHjbB8cCPYmugiNjEVg1acwJf/ReF5apamwyMiIiIiohJiQk/0julQzw6hgT74oFlVAMCGU3fQPigcIRfuc4g7IiIiIiItwoSe6B1koifHzF7u+HdMc1S3NsTj5AyM+/MMRq07jfvP0zQdHhERERERqYEJPdE7zLuaBUI+bo2J7WtCLpMg7PJD+AdF4PdjscjlEHdERERERJUaE3qid5yujgyB/rWwc2JrNKxqhuSMbEzdegn9fz2Gaw9faDo8IiIiIiIqBBN6IgIA1LI1xn9jWmBGz3owVMhw+vZTdPn5EBaEXkVGNoe4IyIiIiKqbJjQE5GSVCrBkObVEBroA7+6NsjKEVi07xq6/nwYp2KfaDo8IiIiIiJ6BRN6IsrHwUwfK4Y0xuJBXrAy0sX1hGT0W3YM32y5gBfpHOKOiIiIiKgyYEJPRAWSSCTo5uGAfYE+eK+xEwDgj+Nx8A+KQGj0Qw1HR0RERERETOgLERwcDDc3N3h7e2s6FCKNMjWQY24/D/w1simcLQ3wICkdo9adwrg/TyPhRbqmwyMiIiIiemcxoS9EQEAAoqOjERkZqelQiCqFFjWssGdSG4z1rQ6ZVIKQCw/g91M4/j4ZByE4xB0RERERUUVjQk9EatOTy/BlpzrYNr4lPKqYIik9G19tuoCBK47j1uMUTYdHRERERPROYUJPRCVWz8EUm8a2wDdd60JfLsPxm0/QcWEEgg9cR1ZOrqbDIyIiIiJ6JzChJ6JS0ZFJMbK1K/Z+0gZtalkjMzsXP+6JQfdfDuPcnWeaDo+IiIiI6K3HhJ6I3oiThQF+G+6NBe95wtxAjisPXqDPkiOYsT0aKRnZmg6PiIiIiOitxYSeiN6YRCJBb68qCAv0QW8vR+QKYPWRW+iwIAIHYxI0HR4RERER0VuJCT0RlRlLI10seK8BfvuwCRzN9HHvWRqGrYnEpL/PIjE5Q9PhERERERG9VZjQE1GZ86lljb2ftMGIVi6QSoAt5+LhFxSOTWfucog7IiIiIqIywoSeiMqFoa4OpnZzw+ZxLVHX3gRPU7MQ+M95DFl9EneepGo6PCIiIiIiraej6QCI6O3m6WSGbeNbYsWhm1gYdg2Hrj1GhwUR+LRDLQxrUQ06svL5XTEtMwfbo+JxMCYBz1KzYGYgh29tG3T3cIC+QlYuyyQiIiIiqkhM6Imo3MllUozzrYHO9e0xeVMUjt98gpk7L2PruXjM6euOeg6mZbq80OiH+HJjFJ6kZKpMD7nwAHN2XcHcvh7wd7Mt02USEREREVU0NrknogrjYmWI9aOaYW5fd5jo6eDCvefosfgI5uy6gvSsnDJZRmj0Q4z+/VS+ZD7Pk5RMjP79FMKiH5bJ8oiIiIiINIUJfSGCg4Ph5uYGb29vTYdC9FaRSCR4z7sqwj71QVd3e+TkCiwLv4GOCyNw9PrjN5p3WmYOvtwYhdxi+t3LFcAXG6PK7EcEIiIiIiJNYEJfiICAAERHRyMyMlLToRC9lWyM9RD8v4ZYOaQx7E31cDsxFYNWnsDn/57Hs9SC764XZ3tUfKF35l/3JCUT287Hl2o5RERERESVARN6ItIoPzdb7P2kDYY0d4ZEAvx7+i78gsKx/Xx8iYe4OxiTUKLy4TGPSlSeiIiIiKgyYUJPRBpnrCfHjJ718d+Y5qhhY4THyZmYsP4sRv52CvHP0tSez7PUrBIt92kpWwIQEREREVUGTOiJqNJo5GyBnRNbYZJfTchlEuy7kgD/oHD8djQWOcU9GA/AzEBeouWZGyhKGyoRERERkcYxoSeiSkVXR4ZJfrUQMrE1GjmbIyUzB9O2XUK/ZUdx9eGLIj/rW9umRMvyqW39JqESEREREWkUE3oiqpRq2hrj39HN8X2v+jDS1cHZuGfo+vMhBO2NQUZ2wb3Td/dwgIWhenfdLQ0V6OHpUJYhExERERFVKCb0RFRpSaUSDG7mjNDANvB3s0VWjsDP+6+jy6JDiIx9kq+8vkKGuX09IJUUM18JMLevB/TksnKKnIiIiIio/DGhJ6JKz95UH8sHN8LS/zWEtbEubjxKQf9lxzBl8wUkpat2hOfvZovlgxsXeqfe0lCB5YMbw8/NtiJCJyIiIiIqNzqaDoCISB0SiQSd3e3RoroV5uy+jPUn7+DPE3EIu/wQM3rWR8d6dsqyfm62OFqzHbadj0d4zCM8Tc2EuYECPrWt0cPTgXfmiYiIiOitwISeiLSKqYEcs/t4oIenI77efAG3Hqdg9O+n0ameHab3rAdbEz0AgJ5chgGNnTCgsZOGIyYiIiIiKh9sck9EWql5dUvs+rg1AtpWh45Ugt2XHsAvKBx/nYhDrhpD3BERERERaTsm9ESktfTkMnzesQ62T2gFzyqmeJGeja83X8D7K47jxqNkTYdHRERERFSumNATkdara2+CTeNaYmo3NxgoZDh56wk6LzqExfuvITM7V9PhERERERGVCyb0RPRWkEklGNHKBXsmtYFPLWtkZudi/t6r6P7LYZyNe6rp8IiIiIiIyhwT+kIEBwfDzc0N3t7emg6FiErAycIAa4d7Y9H7DWBhqEDMwxfos/Qopm+/hJSMbE2HR0RERERUZpjQFyIgIADR0dGIjIzUdChEVEISiQQ9GzgiLNAHfbwcIQSw5kgsOiyIwIErCZoOj4iIiIioTDChJ6K3loWhAkHvNcC6D5vAyUIf956lYfjaSExcfxaPkzM0HR4RERER0RthQk9Eb702tayxZ1IbjGrtAqkE2HY+Hn5B4fjv9F0IwSHuiIiIiEg7MaEnoneCgUIHU7q6YWtAK7jZm+BZahY++/c8Bq86iduJKZoOj4iIiIioxJjQE9E7xb2KKbaOb4mvOteBro4Uh68/RseFEVgecQPZORzijoiIiIi0BxN6InrnyGVSjPGpjj2T2qBFdUukZ+Xih5Ar6LXkCC7ee67p8IiIiIiI1MKEnojeWdWsDPHnyKaY188DpvpyXLyXhJ7BRzA75DLSMnM0HR4RERERUZGY0BPRO00ikWBAYyeEBfqgm4c9cnIFfo24iY4LI3D42mNNh0dEREREVCgm9EREAKyNdbF4UEOsGtoY9qZ6iHuSig9WncCn/5zH05RMTYdHRERERJQPE3oiole0r2uL0EAfDGtRDRIJsPHMXfgFhWPruXsc4o6IiIiIKhUm9ERErzHS1cF3Peph49gWqGVrhMSUTHz89zl8uDYS956laTo8IiIiIiIATOiJiArVsKo5dkxojUD/WlDIpDgQ8wj+QeFYc+QWcnJ5t56IiIiINIsJPRFRERQ6UkxsXxMhH7eGdzVzpGbmYPr2aPRdehRXHiRpOjwiIiIieocxoSciUkMNGyNs+Kg5ZvWuD2NdHZy78wzdfj6M+XtikJ7FIe6IiIiIqOIxoSciUpNUKsH/mjojNNAHHevZIjtXYPGB6+iy6BBO3EzUdHhERERE9I5hQk9EVEJ2pnr4dXBjLPugIWyMdXHzcQreW34ckzddwPO0LE2HR0RERETvCCb0RESl1Km+PUIDfTCwSVUAwPqTcfAPCsfui/c1HBkRERERvQuY0BMRvQFTfTlm93HHho+awdXKEAkvMjDmjzMY/fspPExK13R4RERERPQWY0JPRFQGmrpaIuTj1pjQrgZ0pBLsufQQfj+F44/jt5HLIe6IiIiIqBwwoS9EcHAw3Nzc4O3trelQiEhL6Mll+LRDbeyY2AoNnMzwIiMb32y5iPeWH8P1hGRNh0dEREREbxkm9IUICAhAdHQ0IiMjNR0KEWmZOnYm2Di2BaZ1d4OBQobI2KfosugQft53DZnZuZoOj4iIiIjeEkzoiYjKgUwqwfCWLggN9EHb2tbIzMlFUOhVdPvlEE7ffqrp8IiIiIjoLcCEnoioHDma6WP1MG8ser8BLA0VuPowGf2WHcV32y4hOSNb0+ERERERkRZjQk9EVM4kEgl6NnBEWKAP+jWqAiGAtUdj0SEoHPsuP9R0eERERESkpZjQExFVEHNDBeb398QfI5qiqoUB4p+nY8RvpzD+rzN49CJD0+ERERERkZZhQk9EVMFa1bTCnkltMLqNK2RSCXZE3YdfUDj+OXUHQnCIOyIiIiJSDxN6IiIN0FfIMLlLXWwNaIl6DiZ4npaFL/6Lwv9WnkDs4xRNh0dEREREWoAJPRGRBtV3NMXWgJb4uksd6MmlOHojER0XRmDpwRvIyuEQd0RERERUOCb0REQapiOT4qM21bFnUhu0qmGFjOxczN19BT0XH8GFu881HR4RERERVVJM6ImIKglnS0P8PqIJ5vf3hJmBHNH3k9Az+DBm7ohGaiaHuCMiIiIiVUzoiYgqEYlEgn6NqiAs0Ac9PB2QK4CVh2+hw4IIRFx9pOnwiIiIiKgSYUJPRFQJWRnp4ueBXlgzzBuOZvq4+zQNQ1afROCGc3iSkqnp8IiIiIioEmBCT0RUibWtY4O9n7TB8JbVIJEAm87eg19QOLacvcch7oiIiIjecUzoiYgqOUNdHUzrXg+bxrZAHTtjPEnJxKQN5zBsTSTuPEnVdHhEREREpCFM6ImItIRXVXNsn9AKn3esDYWOFOFXH6HDggisPHQTObm8W09ERET0rmFCT0SkReQyKQLa1sCuj1ujiYsF0rJyMHPnZfRZcgTR8UmaDo+IiIiIKhATeiIiLVTd2gh/j2qG2X3cYayng/N3n6PH4sOYt/sK0rNyNB0eEREREVUAJvRERFpKKpVgYJOq2Bfog8717ZCdK7Dk4A10WhiBozceazo8IiIiIipnTOiJiLScjYkeln7QCL8ObgRbE13EJqZi0IoT+PK/KDxPzdJ0eERERERUTpjQExG9JTrWs0NooA8+aFYVALDh1B20DwrHzqj7HOKOiIiI6C3EhJ6I6C1ioifHzF7u+HdMc1S3NsTj5AwE/HUGo9adwv3naZoOj4iIiIjKEBN6IqK3kHc1C4R83BoT29eEXCZB2OUE+AdFYN2xWORyiDsiIiKitwITeiKit5SujgyB/rWwc2JreFU1Q3JGNr7degn9fz2Gaw9faDo8IiIiInpDTOiJiN5ytWyN8d+YFpjeox4MFTKcvv0UXX4+hAWhV5GRzSHuiIiIiLQVE3oioneATCrB0BbVEBrog/Z1bJCVI7Bo3zV0/fkwTsU+0XR4RERERFQKTOiJiN4hDmb6WDm0MRYP8oKVkQLXE5LRb9kxfLPlAl6kc4g7IiIiIm3ChJ6I6B0jkUjQzcMBYYE+GNC4CgDgj+Nx8A+KwN5LDzQcHRERERGpiwl9IYKDg+Hm5gZvb29Nh0JEVC7MDBSY188Tf41sCmdLAzxISsdHv5/GuD9PIyEpXdPhEREREVExmNAXIiAgANHR0YiMjNR0KERE5apFDSvsmdQGY3yqQyaVIOTCA7QPCsffJ+MgBIe4IyIiIqqsmNATERH05DJ81bkOto1vCXdHU7xIz8ZXmy7g/eXHcfNRsqbDIyIiIqICMKEnIiKleg6m2DyuBb7pWhf6chlO3HqCTosOIfjAdWTl5Go6PCIiIiJ6BRN6IiJSoSOTYmRrV+z9pA1a17RCZnYuftwTg+6/HMa5O880HR4RERER/X9M6ImIqEBOFgZY92ETLHjPE+YGclx58AJ9lhzBjO3RSMnI1nR4RERERO88JvRERFQoiUSC3l5VEBbog95ejsgVwOojt9BhQQQOxCRoOjwiIiKidxoTeiIiKpalkS4WvNcAa4d7w9FMH/eepWH4mkh8/PdZJCZnaDo8IiIioncSE3oiIlKbb20b7P2kDUa0coFUAmw9Fw+/oHBsOnOXQ9wRERERVTAm9EREVCKGujqY2s0Nm8e1RB07YzxNzULgP+cxZPVJ3HmSqunwiIiIiN4ZTOiJiKhUPJ3MsH1CK3zRqTYUOlIcuvYYHRZEYEXETWRziDsiIiKicvfGCX1GBp+dJCJ6V8llUozzrYE9k9qgmasF0rJyMCvkMnovOYqL955rOjwiIiKit1qJE/o9e/Zg2LBhqF69OuRyOQwMDGBsbAwfHx/MmjUL8fHx5REnERFVYi5Whlg/qhnm9nWHiZ4OLtx7jp7BRzB712WkZeZoOjwiIiKit5LaCf2WLVtQu3ZtDB06FFKpFJ9//jk2bdqEPXv2YNWqVfDx8UFYWBhcXV0xZswYPHr0qDzjJiKiSkYikeA976oI+9QHXd3tkZMr8Gv4TXRaFIGj1x9rOjwiIiKit46OugV/+OEHzJ8/H127doVUmv93gAEDBgAA7t27h0WLFmHdunX49NNPyy5SIiLSCjbGegj+X0P0in6IqVsu4nZiKgatPIH+japgSte6MDNQaDpEIiIioreC2gn9yZMn1Srn6OiIefPmlTogIiJ6O/i72aKZqwXm7Y7BHydu49/Td3EgJgHTutdDNw97SCQSTYdIREREpNXeqFO8zMxMxMTEIDs7u6ziISKit4ixnhzf96qP/8Y0Rw0bIzxOzsSE9Wcx4rdTiH+WpunwiIiIiLRaqRL61NRUjBgxAgYGBqhXrx7i4uIAABMnTsScOXPKNEAiItJ+jZwtsHNiK0zyqwm5TIL9VxLgHxSOtUduISdXaDo8IiIiIq1UqoR+8uTJOH/+PA4ePAg9PT3ldD8/P2zYsKHMgiMioreHro4Mk/xqIWRiazRyNkdKZg6+2x6NfsuOIubBC02HR0RERKR1SpXQb9myBYsXL0arVq1UnoF0c3PDjRs3yiw4IiJ6+9S0Nca/o5vj+571YKSrg7Nxz9Dtl0MI2huDjGwOcUdERESkrlIl9I8ePYKNjU2+6SkpKezkiIiIiiWVSjC4eTWEBraBX11bZOUI/Lz/OrosOoTI2CeaDo+IiIhIK5Qqoff29sbOnTuVr/OS+BUrVqB58+ZlExkREb317E31sWJIIyz5X0NYG+vixqMU9F92DFM2X0BSepamwyMiIiKq1NQetu5Vs2fPRqdOnRAdHY3s7GwsWrQIly5dwrFjxxAeHl7WMRIR0VtMIpGgi7s9Wla3wuxdl/F35B38eSIOYZcfYnqP+uhU307TIRIRERFVSqW6Q9+iRQscOXIEqampqF69Ovbu3QtbW1scO3YMjRo1KusYiYjoHWBqIMecvh5YP6oZXKwM8TApA2P+OI0xv5/Gw6R0TYdHREREVOmU6g49ALi7u+O3334ry1iIiIjQvLoldn3cGr/sv4Zfw29i96UHOHLjMSZ3rov3vZ0glbKvFiIiIiKglHfoZTIZEhIS8k1PTEyETCZ746CIiOjdpieX4fOOdbBtfCt4VjHFi/RsfL35At5ffhw3HiVrOjwiIiKiSqFUCb0QosDpGRkZUCgUbxQQERFRHjcHE2wa1xJTu7lBXy7Dydgn6LzwEH7Zdw2Z2bmaDo+IiIhIo0rU5P7nn38G8LIDo5UrV8LIyEj5Xk5ODiIiIlCnTp2yjZCIiN5pMqkEI1q5oIObLb7ZchHhVx/hp9Cr2BF1H3P6usOrqrmmQyQioreQEALZ2dnIycnRdChUDrKysqCjo4P09HSN7GOZTAYdHZ03HvZdIgq73V4AFxcXAMDt27dRpUoVleb1CoUC1apVw4wZM9C0adM3CqoySUpKgqmpKZ4/fw4TExNNh0NE9E4TQmDb+XhM3x6NJymZkEiAoc2r4bOOtWGkW+puYUosKysLISEh6NKlC+RyeYUtl4iIKkZmZibu37+P1NRUTYdC5UQIgbS0NOjr679xUl1aBgYGsLe3L7CVu7p5aImufm7dugUAaNu2LTZt2gRzc94VISKiiiORSNCzgSNa17TGzJ3R2HTmHtYejcXeSw8ws3d9tKtjq+kQiYhIy+Xm5uLWrVuQyWRwcHCAQqHQWMJH5Sc3NxfJyckwMjKCVFqqJ9FLTQiBzMxMPHr0CLdu3ULNmjVLHUOpbmccOHCgVAsjIiIqCxaGCgQNaIBeDRwxZcsF3HmShg/XnkJ3TwdM6+4GKyNdTYdIRERaKjMzE7m5uXBycoKBgYGmw6Fykpubi8zMTOjp6VV4Qg8A+vr6kMvluH37tjKO0ih1+8S7d+9i27ZtiIuLQ2Zmpsp7QUFBpZ0tERGR2trUssaeSW2wIPQqVh2+he3n43Ho2iNM6VIX/RpV4R0VIiIqNU0kefRuKYtjrFQJ/b59+9CjRw+4uLggJiYG9evXR2xsLIQQaNiw4RsHRUREpC4DhQ6mdHVDd08HfLXxAqLvJ+Hz/6Kw5dw9/NDbHc6WhpoOkYiIiKhclOongcmTJ+PTTz/FxYsXoaenh40bN+LOnTvw8fFB//79yzpGIiKiYnlUMcPW8S3xZac60NWR4sj1RHRcGIFl4TeQncMh7oiI6N02bNgw9OrVq9yX891336FBgwblvpzCSCQSbNmypUSf8fX1xaRJk8olnvJWqoT+8uXLGDp0KABAR0cHaWlpMDIywowZMzB37twyDZCIiEhdcpkUY32rY8+kNmhR3RLpWbmYs+sKegYfwcV7zzUdHhERkcYsWrQIa9eu1XQYBSpNEq5JBw8ehEQiwbNnzzQdSuma3BsaGiIjIwMA4ODggBs3bqBevXoAgMePH5dddERERKVQzcoQf45sin9P38WsnZdxKT4JPYOPYEQrF3ziVwv6ClnxMyEiInoDaZk52B4Vj4MxCXiWmgUzAzl8a9ugu4eDRs5DpqamFb5MKn+lukPfrFkzHDlyBADQtWtXfPrpp5g1axY+/PBDNGvWrEwDJCIiKg2JRIIBjZ0QFuiDbh72yMkVWB5xEx0XRuDwNf74TERE5Sc0+iFazt2PL/6LQsiFBzh6IxEhFx7gi/+i0HLufoRGPyyX5f73339wd3eHvr4+LC0t4efnh5SUFAD5m9z7+vpiwoQJmDRpEszNzWFra4vly5cjJSUFw4cPh7GxMapXr45du3YpP7N27VqYmZmpLHPLli1FdkIbGRkJf39/WFlZwdTUFD4+Pjhz5ozy/WrVqgEAevfuDYlEonwNANu3b0ejRo2gp6cHV1dXTJ8+HdnZ2cr3r127hjZt2kBPTw9ubm4IDQ0tdhulpKRgyJAhMDExQZ06dQrs0P2PP/5A48aNYWxsDDs7OwwaNAgJCQkAgNjYWLRt2xYAYG5uDolEgmHDhgEAdu/ejVatWsHMzAyWlpbo1q0bbty4UWxMb6JUCX1QUBCaNm0K4OUzEv7+/tiwYQOcnZ2xatWqMg2QiIjoTVgb62LxoIZYNbQx7E31EPckFR+sOoFP/zmPpymZxc+AiIioBEKjH2L076fwpJBzzJOUTIz+/RTCyjipv3//PgYOHIgPP/wQly9fxsGDB9GnTx8IIQr9zG+//QYrKyucPHkSEyZMwNixY9G/f3+0aNECZ86cQceOHTF48GCkpqaWOq4XL15g6NChOHToEI4fP46aNWuiS5cuePHiBYCXCT8ArFmzBvfv31e+3rNnDz744ANMnDgR0dHR+PXXX7F27VrMmjULwMth5/r06QOZTIbjx49j2bJl+PLLL4uN5/PPP8eBAwewceNGbNy4EQcPHsTp06dVymRmZuL777/H+fPnsWXLFty6dUuZtDs5OWHjxo0AgJiYGNy/fx+LFi0C8PLHgsDAQERGRmLfvn2QSqXo3bs3cnPLry+fEje5z8nJwZ07d+Dh4QEAMDAwwJIlS8o8MCIiorLUvq4tmrpaYv6eGPx2LBYbz9zFwZgEfNvdDT08HTjEHRERvbG0zBx8uTEKuYXn0ACAXAF8sTEKR2u2g568bJrf379/H9nZ2ejTpw+cnZ0BAO7u7kV+xtPTE9988w2Alx2fz5kzB1ZWVhg1ahQA4Ntvv8XSpUsRFRVV6pbY7dq1U3n966+/wtzcHOHh4ejWrRusra0BAGZmZrCzs1OWmzVrFr766itl322urq74/vvv8cUXX2DatGkICwvD5cuXERsbiypVqgAAfvjhB3Tu3LnQWJKTk7Fq1SqsW7cO/v7+SEpKwtq1a1G1alWVch9++KHyf1dXV/z8889o0qQJkpOTYWRkBAsLCwCAjY2NSouFvn37qsxn1apVsLGxQXR0NOrXr6/uJiuREt+hl8lk6NixY6XoAICIiKgkjHR18F2PevhvTAvUsjVCYkomPv77HD5cG4l7z9I0HR4REWm57VHxhd6Zf92TlExsOx9fZsv29PRE+/bt4e7ujv79+2PFihV4+vRpkZ/Ju0kLvMzzLC0tVX4EsLW1BQBlc/PSSEhIwJgxY1CrVi2YmprC1NQUycnJiIuLK/Jzp0+fxowZM2BkZKT8GzVqFO7fv4/U1FRcvnwZVatWVSbzANC8efMi53njxg1kZmaqlLOwsEDt2rVVyp09exY9e/aEs7MzjI2N4evrCwDFxnzjxg0MGjQIrq6uMDExgYuLi1qfexOlanLv7u6OmzdvlnUsREREFaKRszl2TGiNQP9aUMikOBDzCP5B4Vh9+BZyirutQkREVIiDMSVLfMNjHpXZsmUyGUJDQ7Fr1y64ubnhl19+Qe3atXHr1q1CPyOXy1VeSyQSlWl5rdfymoxLpdJ8TfizsrKKjGvYsGE4ffo0Fi5ciKNHj+LcuXOwtLREZmbRP3zk5uZi+vTpOHfunPLvwoULuHbtGvT09Ap8lKC41nZFPX6QJyUlBR06dICRkRH++OMPREZGYvPmzQBQbMzdu3dHYmIiVqxYgRMnTuDEiRNqfe5NlCqhnzVrFj777DPs2LED9+/fR1JSksofERFRZafQkWJi+5oI+bg1vKuZIzUzBzN2RKPP0qO48oDnMiIiKrlnqUUnt697mlq2iZ5EIkHLli0xffp0nD17FgqFQpmMlgVra2u8ePFC2dEeAJw7d67Izxw6dAgTJ05Ely5dUK9ePejq6uYbGU0ulyMnJ0dlWsOGDRETE4MaNWrk+5NKpXBzc0NcXBzi4/+vlcOxY8eKjKVGjRqQy+U4fvy4ctrTp09x9epV5esrV67g8ePHmDNnDlq3bo06derka6GgUCgAQCXmxMREXL58Gd988w3at2+PunXrFttCoiyUati6Tp06AQB69Oih8iuIEAISiSTfztCkO3fuYPDgwUhISICOjg6mTp2K/v37azosIiKqJGrYGGHDR82xPjIOc0Ku4PydZ+j282GM8amO8e1qlNmzjURE9PYzM5AXX+gV5gaKMlv2iRMnsG/fPnTo0AE2NjY4ceIEHj16hLp165bZMpo2bQoDAwN8/fXXmDBhAk6ePFns2PY1atTA77//jsaNGyMpKQmff/459PX1VcpUq1YN+/btQ8uWLaGrqwtzc3N8++236NatG5ycnNC/f39IpVJERUXhwoULmDlzJvz8/FC7dm0MGTIEP/30E5KSkjBlypQiYzEyMsKIESPw+eefw9zcHIaGhpgzZw6k0v+7z121alUoFAr88ssvGDNmDC5evIjvv/9eZT7Ozs6QSCTYsWMHunTpAn19fZibm8PS0hLLly+Hvb094uLi8NVXX5VsA5dCqe7QHzhwQPm3f/9+5V/e68pER0cHCxcuRHR0NMLCwvDJJ5+o/KJEREQklUrwv6bOCA30Qcd6tsjOFVh84Dq6LDqEEzcTNR0eERFpCd/aNiUq71PbusyWbWJigoiICHTp0gW1atXCN998g59++qnITuJKysLCAn/88QdCQkLg7u6O9evX47vvvivyM6tXr8bTp0/h5eWFwYMHY+LEibCxUd1OP/30E0JDQ+Hk5AQvLy8AQMeOHbFjxw6EhobC29sbzZo1Q1BQkLLDP6lUis2bNyMjIwNNmjTByJEjlT3gF+XHH39EmzZt0KtXL/Tu3RutWrVCo0aNlO9bW1tj7dq1+Pfff+Hm5oY5c+Zg/vz5KvNwdHTE9OnT8dVXX8HW1hbjx4+HVCrF33//jdOnT6N+/fr45JNP8OOPP6qzWd+IRKjzIMFbxMPDAzt37oSTk5Na5ZOSkmBqaornz5/DxMSknKMjIqLKYPfF+/h26yUkvMgAAAxsUhVfda4DU/2Xd16ysrIQEhKCLl265Hv+kIiItFt6ejpu3boFFxcX6OnpleizaZk5aDl3v1od41kaKnDkq7Lr5Z5KJjc3F0lJSTAxMVG5Q1+RijrW1M1DNRP5KyIiItC9e3c4OLwcMmjLli35yixZskS5ko0aNcKhQ4dKtaxTp04hNzdX7WSeiIjeTZ3q2yM00AeDmr4cxmb9yTj4B4Vj98X7Go6MiIgqM32FDHP7ekBazEioUgkwt68Hk3l6YxpP6FNSUuDp6YnFixcX+P6GDRswadIkTJkyBWfPnkXr1q3RuXNnla7/GzVqhPr16+f7e7WDhMTERAwZMgTLly8v93UiIiLtZ6ovxw+93bHho2ZwtTJEwosMjPnjDD5adwoPktI1HR4REVVS/m62WD64MSwMC34+3tJQgeWDG8PPzbaCI6O3UaVqci+RSLB582b06tVLOa1p06Zo2LAhli5dqpxWt25d9OrVC7Nnz1ZrvhkZGfD398eoUaMwePDgYstmZGQoXyclJcHJyQmPHz9mk3siondURlYOloTfwvJDt5CdK2CkK0Nnh0xM+6A9dBVl16ERERFpXnp6Ou7cuYNq1aqVuMm9ynyycrA96j7CYx7haWoWzA3k8Kltje4e9rwzXwkIIfDixQsYGxsXO9xdeUlPT0dsbCycnJwKbHJvZWVVbJP7UvVyX1EyMzNx+vTpfL0DdujQAUePHlVrHkIIDBs2DO3atSs2mQeA2bNnY/r06fmm7927FwYGBuoFTkREb53aAD6tD/x9U4bbyTn495YMpxcewPvVc2CrX+zHiYhIS+jo6MDOzg7JyclvPH54x5om6FhTNRnLTEtBZtobzZbK0IsXLzS27MzMTKSlpSEiIgLZ2dkq76Wmpqo1j1In9NnZ2Th48CBu3LiBQYMGwdjYGPHx8TAxMYGRkVFpZ6vi8ePHyMnJga2tanMUW1tbPHjwQK15HDlyBBs2bICHh4fy+fzff/8d7u7uBZafPHkyAgMDla/z7tB36NCBd+iJiAjDcwV+OxqLn0Kv4uYLCX68IMc4H1d81NoFCh2NP8lGRERvKO8OvZGR0RvdoafKrbLcodfX10ebNm0KvEOvjlIl9Ldv30anTp0QFxenbM5ubGyMefPmIT09HcuWLSvNbAv1+gbOG+9eHa1atUJubq7ay9LV1YWurm6+6XK5nD0ZExER5AA+bOUCxaPLOJhsh/Crj7Fo/w3suvQQs/t4oJGzuaZDJCKiN5CTkwOJRAKpVKqx3s+p/OXliHn7WhOkUikkEkmBuaa6uWepIv/444/RuHFjPH36FPr6/9fOsHfv3ti3b19pZlkgKysryGSyfHfjExIS8t21JyIiqkgWusCKD7zw80AvWBoqcPVhMvotO4ppWy8iOSO7+BkQERERvaFSJfSHDx/GN998A8VrHQE5Ozvj3r17ZRIYACgUCjRq1AihoaEq00NDQ9GiRYsyWw4REZE60jJz8M+pOwj85xwA4NN/z7/s9GhCK/RrVAVCAL8duw3/oHDsu/xQs8ESERHRW69UTe5zc3ORk5OTb/rdu3dhbGxconklJyfj+vXryte3bt3CuXPnYGFhgapVqyIwMBCDBw9G48aN0bx5cyxfvhxxcXEYM2ZMaUInIiIqldDoh/hyYxSepGRCVybg1wTYG/0Q2y8kwMJQgbl9PdCrgSO+3nwBcU9SMeK3U+jqYY/vuteDtXH+R7mIiIiI3lSp7tD7+/tj4cKFytcSiQTJycmYNm0aunTpUqJ5nTp1Cl5eXvDy8gIABAYGwsvLC99++y0A4L333sPChQsxY8YMNGjQABEREQgJCYGzs3NpQiciIiqx0OiHGP37KTxJKbi34ycpmRj9+ymkZ+Vgz6Q2GN3GFTKpBDuj7sMvKBz/RN5BJRolloiIiN4SpUrog4KCEB4eDjc3N6Snp2PQoEGoVq0a7t27h7lz55ZoXr6+vhBC5Ptbu3atssy4ceMQGxuLjIwMnD59Gm3atClN2ERERCWWlpmDLzdGIbeYfDxXAF9sjIJEAkzuUhdbA1qinoMJnqdl4YuNUfjfyhOIfZxSMUETEdE7SQiBjz76CBYWFpBIJDh37hwAIDExETY2NoiNjVV7XosXL0aPHj3KJ9AK9ujRI9SpUwcymQwbN27UdDhlqlQJvaOjI86dO4fPP/8co0ePhpeXF+bMmYOzZ8/CxsamrGPUiODgYLi5ucHb21vToRARkQZtj4ov9M78656kZGLb+XgAQH1HU2wNaImvu9SBnlyKozcS0XFhBJYcvI6sHPVHXyEiIlLX7t27sXbtWuzYsQP3799H/fr1AQCzZ89G9+7dUa1aNbXnNWrUKERGRuLw4cPlFO1Lly5dQt++fVGtWjVIJBKVluCvGzZsGL766qsSzf/Fixfo3LkzrKys8N133+F///sfwsLC8pWbPXs2vL29YWxsDBsbG/Tq1QsxMTElXZ0KV+KEPisrC66urrh16xaGDx+OxYsXY8mSJRg5cqRKj/faLiAgANHR0YiMjNR0KEREpEEHYxJKVD485pHyfx2ZFB+1qY69k3zQqoYVMrJzMW93DHosPoKou8/KOFIiInrX3bhxA/b29mjRogXs7Oygo6ODtLQ0rFq1CiNHjizRvHR1dTFo0CD88ssv5RTtS6mpqXB1dcWcOXNgZ2dXaLnc3Fzs3LkTPXv2VHveGRkZ6NmzJ8zNzbFnzx5MnToVCxYsQN++ffPleeHh4QgICMDx48cRGhqK7OxsdOjQASkplbt1XYkTerlcjoyMDLXHgSciItJmz1KzSlT+aWr+u/lVLQ3w+4gmmN/fE2YGcly+n4RewUcwc0c0UjM5xB0RUWUnhEBqZrZG/tTtg2XYsGGYMGEC4uLiIJFIlHfjd+3aBR0dHTRv3lxZ9uDBg5BIJNi3bx8aN24MAwMDtGjRIt8d6R49emDLli1IS0srs235Om9vb/z44494//33oatbeCeyR44cgVQqRdOmTREbGwuJRIJNmzahbdu2MDAwgKenJ44dO6Ysn5OTg4EDB8LIyAg7duyAoaEhAGDs2LH45Zdf0LNnT5X13b17N4YNG4Z69erB09MTa9asQVxcHE6fPl1u614WStXL/YQJEzB37lysXLkSOjqlmgUREZFWMDOQl6i8uYGiwOkSiQT9GlWBb21rzNgejW3n47Hy8C3svvQAP/R2R5ta1mURLhERlYO0rBy4fbtHI8uOntERBoric65FixahevXqWL58OSIjIyGTyQAAERERaNy4cYGfmTJlCn766SdYW1tjzJgx+PDDD3HkyBHl+40bN0ZWVhZOnjwJHx+fAufxww8/4Icffigytl27dqF169bFrkNRtm3bhu7du0Mq/b970lOmTMH8+fNRs2ZNTJkyBQMHDsT169eho6MDmUyGTZs2FTivIUOG4IMPPkBSUlKhy3v+/DkAwMLC4o3iLm+lysZPnDiBffv2Ye/evXB3d1f+2pGnsA1HRESkbXxr2yDkwgO1y/vULjoxtzLSxc8DvdDbyxHfbLmIu0/TMGT1SfT2csTUbm6wMCz4BwEiIqKimJqawtjYGDKZTKXpemxsLBwcHAr8zKxZs5SJ+ldffYWuXbsiPT0denp6AABDQ0OYmZkhNja20IR+zJgxGDBgQJGxOTo6lmaVVGzbtg3z589XmfbZZ5+ha9euAIDp06ejXr16uH79OurUqfNGyxJCIDAwEK1atVL2Q1BZlSqhNzMzQ9++fcs6FiIiokqnu4cD5uy6olbHeJaGCvTwLPii6XVt69hg7ydtMH9vDNYejcXms/cQfvURvu3mhp4NHPhoGxFRJaIvlyF6RkeNLftNpKWlKRP013l4eCj/t7e3BwAkJCSgatWq/7d8fX2kpqYWOn8LC4tyv4t9+fJl3L17F35+firTC4v/TRP68ePHIyoqqtw7BCwLpUro16xZU9ZxEBERVUr6Chnm9vXA6N9PFTl0nVQCzO3rAb0SXHgZ6upgWvd66OHpgK82XkDMwxeYtOEcNp29h1m96sPJwqAM1oCIiN6URCJRq9l7ZWRlZYWnT58W+J5c/n+PleX9kJybqzoSy5MnT2BtXXjrs4pocr9t2zb4+/vn64RdnfhLasKECdi2bRsiIiJQpUqVN5pXRdDOo5KIiKgC+bvZYvngxvhiY1SBd+otDRWY29cDfm62pZq/V1VzbJ/QCssjbuDn/dcRcfUROiyIwKcdamF4SxfIpLxbT0REpePl5YU//vijVJ+9ceMG0tPT4eXlVWiZimhyv3Xr1hL30l9SQghMmDABmzdvxsGDB+Hi4lKuyysrpUroXVxcimwKePPmzVIHVFkEBwcjODgYOTk5mg6FiIgqAT83Wxyt2Q7bzsfjcMxDAPfQ0c0OrWrbooenQ4nuzBdEoSPF+HY10dndHpM3XcDJW08wc+dlbD8fj9l9PODmYFI2K0JERO+Ujh07YvLkyXj69CnMzc1L9NlDhw7B1dUV1atXL7TMmza5z8zMRHR0tPL/e/fu4dy5czAyMkKNGjWQkJCAyMhIbNmypdTLUEdAQAD++usvbN26FcbGxnjw4GX/OaamppV6ePZSJfSTJk1SeZ2VlYWzZ89i9+7d+Pzzz8siLo0LCAhAQEAAkpKSYGpqqulwiIioEtCTyzCgsRN6e9ohJOQefhrgqdLcryxUtzbC36OaYcOpO/gh5DLO332OHosP46M2rpjYvuYb/3BARETvFnd3dzRu3Bj//PMPRo8eXaLPrl+/HqNGjSqnyF6Kj49XaQEwf/58zJ8/Hz4+Pjh48CC2b9+Opk2bwsbGplzjWLp0KQDA19dXZfqaNWswbNiwcl32m5AIdQc2VENwcDBOnTr1Vj1jn5fQP3/+HCYmvDtCREQvf8gOCQlBly5dyjyhf1VCUjqmbbuEXRdf3iWoZmmAH/q4o0V1q3JbJhHRuy49PR23bt2Ci4tLoZ3JaZuQkBB89tlnuHjxosqwb0W5ePEi2rdvj6tXr2r0BmePHj3QqlUrfPHFF2U639zcXCQlJcHExETtbVLWijrW1M1DyzTyzp07Y+PGjWU5SyIioneWjYkeln7QCL8ObgRbE13EJqZi0IoT+GpjFJ6nZmk6PCIi0hJdunTB6NGjce/ePbU/Ex8fj3Xr1mm8tXKrVq0wcOBAjcZQmZVpp3j//fdfuQ9ZQERE9K7pWM8OzatbYu6uK/jzRBz+jryDsMsJmNGzHjrXt+MQd0REVKyPP/64ROU7dOhQTpGUTFnfmX/blCqh9/LyUrl4EELgwYMHePToEZYsWVJmwREREdFLJnpyzOrtjp4NHDF5UxRuPErBuD/PwK+uLb7vVQ/2ppW3wx4iIiIqH6VK6Hv16qXyWiqVwtraGr6+vqhTp05ZxEVEREQFaOJigZCPWyP4wA0sPXgdYZcf4vjNRHzZqTb+19QZUg5xR0RE9M4oVUI/bdq0so6DiIiI1KSrI0Ogfy1087DHlxujcDbuGaZuvYSt5+Ixu487atoaazpEIiKtV4Z9hxMVqCyOMbUT+qSkJLVnyt7giYiIyl8tW2P8N6YF/jh+G/N2X8Gp20/R5edDCGhbA2N9q0NXh0PcERGVVN7oJampqZV6/HHSfqmpqQDwRiPmqJ3Qm5mZFdvpjhACEokEOTk5pQ6osggODkZwcPBbsS5ERPT2kkklGNqiGvzdbDF1y0Xsu5KAhWHXsCPqPub2dUcjZ3ZWS0RUEjKZDGZmZkhISAAAGBgYsPPRt1Bubi4yMzORnp5e4cPWCSGQmpqKhIQEmJmZQSYr/Q/wao9DHx4ervZMfXx8Sh1QZcNx6ImI6HUVNQ59SQkhsPPCfXy37RIeJ2dCIgE+aOqMLzrVhrFe5YmTiKiyy+v0+9mzZ5oOhcqJEAJpaWnQ19fX2A82ZmZmsLMreLQadfNQtRP6dxUTeiIiel1lTejzPEvNxA8hl/HPqbsAADsTPXzfqz783Ww1HBkRkXbJyclBVlaWpsOgcpCVlYWIiAi0adNGI+dyuVxe5J15dfNQtZvcR0VFoX79+pBKpYiKiiqyrIeHh7qzJSIiojJmZqDAvH6e6NXAEZM3X8DtxFSMWncKXdzt8F2PerAx1tN0iEREWkEmk71Rc2iqvGQyGbKzs6Gnp1cpf5xXl9oJfYMGDfDgwQPY2NigQYMGkEgkBfbK97Y8Q09ERKTtWtSwwp5JbbAw7BpWHLqJkAsPcPjaY3zdpS7e83biM6FERERaTu2E/tatW7C2tlb+T0RERJWfnlyGrzrXQXdPe3y18QIu3HuOrzZdwJZz9zC7jwdcrAw1HSIRERGVktoJvbOzc4H/ExERUeVXz8EUm8e1wNqjsfhp71Ucv/kEHRdG4OP2NfFRG1fIZRXbwy8RERG9ObUT+oJER0cjLi4OmZmZKtN79OjxRkERERFR2dORSTGytSs61rPD15sv4NC1x/hxTwy2n4/H3L4e+H/t3Xd4VGXC/vH7zKRXCCW00GsoAZKItAQ0VEUQELAAKqJokBLbrr3svqy+uxFZAooFlFVBERAVheBKQhEISGiht1BDJyQh/fz+2Nf8NkIgQJIzSb6f6/LSOXNynnsmXBzvec6cJyigitURAQDADbipQn/gwAHde++92rZtW6Hv0v/+XTy+Qw8AgOMK8PPQZ4/epkWbj+mt75O06+Ql3TtjjR7u0kjP9G4uT9db+rwfAACUkZu6vm7ixIlq1KiRUlJS5OHhoR07dig+Pl4hISFauXJlCUcEAAAlzTAMDe5YTyuiwjWofR3lm9Inaw6q97vxWrn7lNXxAABAMdxUof/111/15ptvqkaNGrLZbLLZbOrWrZumTJmiCRMmlHRGAABQSqp5uWrqiA6a80io6lZx17ELl/Xw7ARNnLdZZ9OyrI4HAACu4aYKfV5enry8vCRJ1atX1/HjxyX952Z5u3fvLrl0FoqJiVFgYKBCQ0OtjgIAQKnr0aKmlk8O05hujWQzpG8TjysiOk4Lfzt61WVqAQCA9W6q0Ldp00Zbt26VJHXq1EnvvPOO1qxZozfffFONGzcu0YBWiYyMVFJSkhISEqyOAgBAmfB0ddIrdwdq0VNd1bKWt85n5Cjqqy0a9ckGHTmXYXU8AADwBzdV6F9++WXl5+dLkv7yl7/o8OHD6t69u5YuXapp06aVaEAAAFC2ggKq6Lunu+m5Pi3k4mTTqr1n1PvdeH0Yf0C5eflWxwMAAP+n2Lex3bp1q9q0aSObzaY+ffoUbG/cuLGSkpJ07tw5Va1ateBO9wAAoPxyttsU2bOp+rX5zxJ36w6c01+X7tSSLcc1ZXBbtanra3VEAAAqvWLP0Hfo0EFnzpyR9J8Sf/bs2ULP+/n5UeYBAKhgGtfw0pdjb9fbQ9rKx81J245d1MCYNZry405dzmaZWgAArFTsQl+lShUdPHhQknTo0KGCS+4BAEDFZhiGhofW14pnwnVX29rKyzf1QdwB9X0vXmv2nbE6HgAAlVaxL7kfMmSIwsPDVbt2bRmGoZCQENnt9qvue+DAgRILCAAAHENNbzfFPNhRA3ec1Kvf7tDhsxl68KP1ui+4nl66q5WqeLhYHREAgEql2IV+1qxZGjx4sPbt26cJEyZo7Nix8vb2Ls1sAADAAfVuXUudm1TTOz/t1tx1h/X1pqP6ZfcpvTqgtQa0q81X8AAAKCPFLvSS1LdvX0nSpk2bNHHiRAo9AACVlLebs94a1EYD29fRnxZu075TaZrw5WYt3nxMbw1qo7pV3K2OCABAhXdTy9bNnj2bMg8AABTS0E8/TOimSRHN5Gw39O9dp9Q7Ok5z1hxUXr5pdTwAACq0myr0AAAAv3N1smtSRHMtndBdwQ2qKj07T69/l6QhM9dq98lLVscDAKDCotADAIAS0czfW18/0VlvDWwtL1cnJR65oLv/uUrRy3crM4cl7gAAKGkU+iLExMQoMDBQoaGhVkcBAKDcsNkMjezcULFRYYpoVVM5eaam/Xuf+k9bpQ0Hz1kdDwCACoVCX4TIyEglJSUpISHB6igAAJQ7tX3d9eGoEMU80FHVvVx14HS6hn3wq15atE2pmTlWxwMAoEKg0AMAgFJhGIbualdbP0eFa3hIgCTp8/XJ6hUdp2U7TlqcDgCA8o9CDwAASpWvh7PeHtpOX469XY2qeyolNUtPzN2kcXM3KSU10+p4AACUWxR6AABQJjo3qaYfJ3bXUz2ayMlm6KcdJxURHacv1icrnyXuAAC4YRR6AABQZtyc7Xq+b0stGd9NQfV8dSkzVy8u2qYRH67T/tNpVscDAKBcodADAIAyF1jHRwuf6qpX7g6Uu7NdGw6eU7/3Vmn6v/cqOzff6ngAAJQLFHoAAGAJu83QmG6NtHxymMKa11B2br7+vnyP7pm+WolHLlgdDwAAh0ehBwAAlgrw89Cnj4Rq6vD28vN00a6Tl3TvjDV647sdSs/KtToeAAAOi0IPAAAsZxiGBnWoqxVR4Rrcoa5MU5q95pB6vxuvX3afsjoeAAAOiUIPAAAchp+ni6KHt9dnj96melXddezCZT0yO0ET523WmbQsq+MBAOBQKPQAAMDhhDWvoeWTwzS2eyPZDOnbxOOKiI7Tgk1HZZoscQcAgEShBwAADsrDxUkv3RWoxZFdFVjbRxcycvTs11s08uMNSj6bYXU8AAAsR6EHAAAOrV29Kvp2fFe90LelXJ1sWr3vjHpPjdOs+P3KzWOJOwBA5UWhBwAADs/ZbtOTPZpo2aQwdWlSTZk5+fqfpbs0aMYabT920ep4AABYgkIPAADKjYbVPfX5Y530ztB28nV31vZjqRoYs0ZTlu7U5ew8q+MBAFCmKPRFiImJUWBgoEJDQ62OAgAA/othGBoWEqAVUeG6u11t5eWb+iD+gPpMjdfqvWesjgcAQJmh0BchMjJSSUlJSkhIsDoKAAC4ihrerpr+QEd9PDpEtX3dlHwuQw99vF7PfLVF59OzrY4HAECpo9ADAIBy7c5W/oqNCtfozg1kGNI3vx1VRHScvk08xhJ3AIAKjUIPAADKPS9XJ70xsI0WjOui5v5eOpuerYnzEvXonAQdu3DZ6ngAAJQKCj0AAKgwghtU1fdPd1dUr+Zysdv0y+7T6hUdp09WH1RePrP1AICKhUIPAAAqFBcnmybc2UxLJ3ZXaMOqysjO05vfJ2nwzLXadTLV6ngAAJQYCj0AAKiQmtb00vzHO+uv97aRt6uTthy5oLunrdbfl+1WZg5L3AEAyj8KPQAAqLBsNkMPdmqg2Khw9Q70V26+qem/7FP/91Zp3YGzVscDAOCWUOgBAECFV8vXTbNGhej9hzqqhrerDpxJ14hZ6/TnhVt18XKO1fEAALgpFHoAAFBp9G1TWyuiwnX/bfUlSV9uOKKI6Dj9uO0ES9wBAModCj0AAKhUfN2dNWVwW81//HY1ru6p05ey9OTnv+mJuZt08mKm1fEAACg2Cj0AAKiUOjWupqUTu+vpO5rKyWZoeVKKekXH6V/rDiufJe4AAOUAhR4AAFRabs52PdO7hb6f0E1BAVV0KStXLy/eruGzftW+U5esjgcAwDVR6AEAQKXXspaPFj7ZRa8NCJSHi10Jh86r/3ur9d6KvcrOzbc6HgAAV0WhBwAAkGS3GXqkayMtnxymni1qKDsvX++u2KO7/7lKmw6ftzoeAABXoNADAAD8l3pVPfTJw6F6b0R7VfN00Z6UNA19f61e/Xa7LmWyxB0AwHFQ6AEAAP7AMAwNbF9XK6LCNaRjPZmm9Nmvh9X73XitSEqxOh4AAJIo9AAAAEWq6umifwwL0twxtynAz10nLmbqsc82KvKL33T6UpbV8QAAlRyFHgAA4Dq6N6uh5ZPC9XhYY9kM6YetJxQRHaevEo7INFniDgBgDQo9AABAMbi72PVi/1ZaMr6bWtfx0cXLOXr+m6168KP1OnQm3ep4AIBKiEJfhJiYGAUGBio0NNTqKAAAwIG0qeurbyO76s/9WsrN2aa1+8+qz9R4zVy5Xzl5LHEHACg7FPoiREZGKikpSQkJCVZHAQAADsbJbtMT4U20bFKYujWtrqzcfL390y4NnL5G245etDoeAKCSoNADAADcpAbVPDV3zG36+31BquLhrKQTqRoYs1p/+T5JGdm5VscDAFRwFHoAAIBbYBiGhgbX04qocN0TVEf5pvTR6oPq/W684vectjoeAKACo9ADAACUgOperpp2fwfNfjhUdau46+j5yxr1yQZFzU/UufRsq+MBACogCj0AAEAJ6tmyppZPDtMjXRvKMKSFm48pIjpOizcfY4k7AECJotADAACUME9XJ702oLUWPtlFLWt561x6tibNT9TDsxN05FyG1fEAABUEhR4AAKCUdKhfVd893U3P9WkhFyeb4vacVu934/XRqgPKy2e2HgBwayj0AAAApcjZblNkz6b6aWJ3dWrkp8s5efrLDzs1eMYaJR1PtToeAKAco9ADAACUgcY1vPTl2Ns1ZXBbebs5acvRi7pn+mq989MuZebkWR0PAFAOUegBAADKiM1m6P7b6uvnqHD1a1NLufmmZqzcr37vrdKv+89aHQ8AUM5Q6AEAAMpYTR83zXwoWB+MDJa/j6sOnknX/R+u0wsLtupiRo7V8QAA5QSFHgAAwCJ9WtdSbFS4Hrq9viRp/sYjujM6Tku3nWCJOwDAdVHoAQAALOTj5qy/DGqrr8d1VpManjqTlqWnPv9NYz/bpBMXL1sdDwDgwCj0AAAADiC0oZ+WTuyuCXc2k7Pd0IqdKeoVHa+5vx5SPkvcAQCugkIPAADgIFyd7Irq1Vw/TOiuDvWrKC0rV698u0P3ffCr9qZcsjoeAMDBUOgBAAAcTHN/by0Y10Vv3NNani52bTp8Xv2nrdK7sXuUlcsSdwCA/6DQAwAAOCC7zdDoLg0VGxWuO1vWVE6eqfd+3qu7pq3WxkPnrI4HAHAAFHoAAAAHVqeKuz4aHaJ/3t9B1b1ctO9Umoa+/6teXrxNlzJZ4g4AKjMKPQAAgIMzDEMDgupoRVS47guuJ0n617pk9YqOV2xSisXpAABWodADAACUE1U8XPS/9wXp88c6qUE1D51MzdTYzzbqqc836dSlTKvjAQDKGIUeAACgnOnatLp+mhimceFNZLcZWrrtpCL+Ead5G5JlmixxBwCVBYUeAACgHHJ3setP/Vrq28iualPXR6mZufrTwm0aMWudDpxOszoeAKAMUOgBAADKsTZ1fbX4qa56qX8ruTnbtP7gOfV9b5ViftmnnLx8q+MBAEoRhR4AAKCcc7LbNDassZZPClf3ZtWVnZuv/122WwP+uVqJRy5YHQ8AUEoo9AAAABVE/Woe+uzR2xQ9LEhVPZy16+QlDZ6xRm9+l6T0rFyr4wEAShiFHgAAoAIxDEODO9bTiqhwDWpfR/mm9Mmag+r9brxW7j5ldTwAQAmi0AMAAFRA1bxcNXVEB815JFR1q7jr2IXLenh2gibN26yzaVlWxwMAlAAKfRFiYmIUGBio0NBQq6MAAADctB4tamr55DCN6dZINkNanHhcEdFxWvjbUZa4A4ByjkJfhMjISCUlJSkhIcHqKAAAALfE09VJr9wdqEVPdVXLWt46n5GjqK+2aNQnG3TkXIbV8QAAN8nJ6gAAAACV2eXsPH239bhW7j6lCxk5quLhrB4tampAuzpyd7GX6FhBAVX03dPd9OGqA5q6Yq9W7T2j3u/GK6pXcz3StaGc7Mz1AEB5QqEHAACwSGxSil74ZqvOpWcX2r5020n97cddentIO/UK9C/RMZ3tNj3Vo6n6tamtPy/cqnUHzumvS3dqyZbj+tuQtmpdx7dExwMAlB4+hgUAALBAbFKKnpi78Yoy/7tz6dl6Yu5GrUhKKZXxG1X31Jdjb9fbQ9rKx81J245d1D3T1+hvP+5SZk5eqYwJAChZFHoAAIAydjk7Ty98s1X517knXb4pPf/N1lIr2IZhaHhofa14Jlx3ta2tvHxT78ftV5+p8Vq770ypjAkAKDkUegAAgDL23dbjRc7M/9G59Gwt2XK8VPPU9HZTzIMd9eGoENXycdPhsxl64KP1en7BFl3IKF5OAEDZo9ADAACUsZW7T93Q/nG7T5dSksJ6BforNipMI29vIMOQvtp4VBHRcfp+63GWuAMAB0ShBwAAKGMXMnJuaP/zZThL7u3mrLcGtdGCcZ3VtKaXzqRla/wXm/XYpxt1/MLlMssBALg+Cj0AAEAZq+LhfEP7V/VwKaUkRQtu4KcfJnTTpIhmcrYb+nnXKfWKjtOnaw8p73pf/gcAlAkKPQAAQBnr0aLmDe0f3qJGKSW5NlcnuyZFNNfSCd0V3KCq0rPz9NqSHRr6/lrtSblkSSYAwP9HoQcAAChjA9rVkZ9n8Wbdq3m66J6gOqWc6Nqa+Xvr6yc6662BreXl6qTNyRd017RVio7do6xclrgDAKtQ6AEAAMqYu4tdbw9pJ5tx7f1shvT2kHZyc7aXTbBrZbEZGtm5oWKjwhTRyl85eaam/bxX/d9bpYRD56yOBwCVEoUeAADAAr0C/TVrZEiRM/XVPF00a2SIIgL9yzjZtdX2ddeHo4I148GOquHtqv2n03Xf+7/qpUXblJp5Yzf7AwDcGierAwAAAFRWEYH+WtvsDi3Zclxxu0/rfEa2qnq4KLxFDd0TVMchZuavxjAM9W9bW12bVNeUH3dqXsIRfb4+WSt2pujNgW3Up3UtqyMCQKVAoQcAALCQm7Ndw0ICNCwkwOooN8zXw1l/G9JOA9vX1YuLtungmXQ9MXeT+raupTcHtlZNHzerIwJAhcYl9wAAALglnZtU048TuyuyZxM52Qz9tOOk7oyO0xfrk5XPEncAUGoo9AAAALhlbs52Pdenpb57upuC6vnqUmauXly0TSM+XKf9p9OsjgcAFRKFHgAAACWmVW0fLXyqq165O1DuznZtOHhO/d5bpen/3qvs3Hyr4wFAhUKhBwAAQImy2wyN6dZIyyeHKbx5DWXn5uvvy/dowD9Xa3PyeavjAUCFQaEHAABAqQjw89CcR0L13oj28vN00e6USxo8c61eX7JDaVm5VscDgHKPQg8AAIBSYxiGBravqxVR4Rrcoa5MU5qz9pB6R8fp37tSrI4HAOUahR4AAAClzs/TRdHD2+uzR29TvaruOn4xU4/O2agJX27WmbQsq+MBQLlEoQcAAECZCWteQ8snh2ls90ayGdKSLccVER2nBZuOyjRZ4g4AbgSFHgAAAGXKw8VJL90VqMWRXdWqto8uZOTo2a+3aOTHG3T4bLrV8QCg3KDQAwAAwBLt6lXRkvFd9ULflnJ1smn1vjPqMzVeH8TtV24eS9wBwPVQ6AEAAGAZZ7tNT/ZoomWTwtS5cTVl5uRryo+7NDBmjbYfu2h1PABwaBR6AAAAWK5hdU99MbaT3hnaTr7uztpxPFUDY9bof5bu1OXsPKvjAYBDotADAADAIRiGoWEhAVoRFa6729VWXr6pWfEH1GdqvFbvPWN1PABwOBR6AAAAOJQa3q6a/kBHfTw6RLV93ZR8LkMPfbxez3y1RefTs62OBwAOg0IPAAAAh3RnK3/FRoVrdOcGMgzpm9+OKiI6Tt8mHmOJOwAQhR4AAAAOzMvVSW8MbKMF47qoWU0vnU3P1sR5iXp0ToKOXbhsdTwAsBSFHgAAAA4vuEFV/TChuyZHNJeL3aZfdp9Wr+g4fbL6oPLyma0HUDlR6AEAAFAuuDjZNDGimZZO7KbQhlWVkZ2nN79P0uCZa7XrZKrV8QCgzFHoAQAAUK40remt+Y931l8GtZG3q5O2HLmgu6et1v8u26XMHJa4A1B5UOgBAABQ7thshh66vYFio8LVO9BfufmmYn7Zr/7vrdK6A2etjgcAZYJCDwAAgHKrlq+bZo0K0fsPdVRNb1cdOJOuEbPW6c8Lt+ri5Ryr4wFAqaLQAwAAoNzr26a2YqPCdf9t9SVJX244oojoOP20/YTFyQCg9FDoAQAAUCH4ujtryuC2mv/47Wpc3VOnL2Vp3L9+0+OfbdTJi5lWxwOAEkehBwAAQIXSqXE1LZ3YXU/f0VRONkPLk1LUKzpO/1p3WPkscQegAqHQAwAAoMJxc7brmd4t9P2EbgoKqKJLWbl6efF2DZ/1q/adumR1PAAoERR6AAAAVFgta/lo4ZNd9OrdgfJwsSvh0Hn1f2+1pv28V9m5+VbHA4BbUuEL/aVLlxQaGqr27durbdu2+vDDD62OBAAAgDJktxl6tFsjLZ8cpp4taig7L1/RsXt09z9XadPh81bHA4CbVuELvYeHh+Li4pSYmKj169drypQpOnuWtUkBAAAqm3pVPfTJw6F6b0R7VfN00Z6UNA19f61e+3a70rJyrY4HADeswhd6u90uDw8PSVJmZqby8vJkmtwMBQAAoDIyDEMD29fViqhwDelYT6YpffrrYfWKjtPPO1OsjgcAN8TyQh8fH68BAwaoTp06MgxDixcvvmKfGTNmqFGjRnJzc1NwcLBWrVp1Q2NcuHBBQUFBqlevnp5//nlVr169hNIDAACgPKrq6aJ/DAvS3DG3KcDPXScuZmrMpxs1/ovfdPpSltXxAKBYLC/06enpCgoK0vTp06/6/Pz58zVp0iS99NJL2rx5s7p3765+/fopOTm5YJ/g4GC1adPmin+OHz8uSapSpYq2bNmigwcP6osvvlBKCp++AgAAQOrerIaWTwrXE2GNZbcZ+n7rCUVEx+mrjUe4qhOAwzNMB/qbyjAMLVq0SIMGDSrY1qlTJ3Xs2FEzZ84s2NaqVSsNGjRIU6ZMueExnnzySd1xxx267777rvp8VlaWsrL+/6eyqampCggI0JkzZ+Tj43PD4wEAKp6cnBzFxsaqV69ecnZ2tjoOgBKy43iqXly8Q0kn/rOsXefGfnrrnkA1qOZhcTIAJc3Rz+WpqamqXr26Ll68eM0e6lSGmW5Ydna2Nm3apD/96U+Ftvfu3Vtr164t1jFSUlLk7u4uHx8fpaamKj4+Xk8++WSR+0+ZMkVvvPHGFduXL19e8F18AAAkKTY21uoIAErYYw2kOBdDS4/Y9OuBc+r33ir1DchXz9qm7JZf2wqgpDnquTwjI6NY+zl0oT9z5ozy8vLk7+9faLu/v79OnjxZrGMcPXpUY8aMkWmaMk1T48ePV7t27Yrc/89//rOioqIKHv8+Q9+7d29m6AEAkhz/U30At2aApKfPZejVJUlau/+cvku2a1+2t/5nUGu1qcv/DwIVgaOfy1NTU4u1n0MX+t8ZhlHosWmaV2wrSnBwsBITE4s9lqurq1xdXa/Y7uzs7JC/aACAdTg3ABVXU39fff7Y7frmt2N66/sk7Tx5SUM+WKcx3Rppcq/m8nApF/8bDeA6HPVcXtxMDn3hUPXq1WW326+YjT916tQVs/YAAABASTIMQ0OD6+nnZ8I1IKiO8k3pw1UH1WdqvOL3nLY6HgA4dqF3cXFRcHDwFd9riI2NVZcuXSxKBQAAgMqkuper/nl/B81+OFR1q7jryLnLGvXJBkXNT9S59Gyr4wGoxCwv9GlpaUpMTCy4LP7gwYNKTEwsWJYuKipKH330kT755BPt3LlTkydPVnJyssaNG2dhagAAAFQ2PVvW1PLJYXqka0MZhrRw8zFFRMdp8eZjLHEHwBKWf/ln48aN6tmzZ8Hj329IN3r0aM2ZM0fDhw/X2bNn9eabb+rEiRNq06aNli5dqgYNGlgVGQAAAJWUp6uTXhvQWvcE1dGfvtmm3SmXNGl+ohZtPqa/DGqjAD9WRQJQdhxqHXpHEhMTo5iYGOXl5WnPnj3XXf8PAFB55OTkaOnSperfv79D3kgHQNnIzs3XrPj9mvbvfcrOzZe7s13P9G6uR7o2kt1WvBs4A7CGo5/LU1NT5evre90eavkl944qMjJSSUlJSkhIsDoKAAAAHJCLk03j72imHyd2122N/HQ5J09/+WGnBs9Yo6TjxVtyCgBuBYUeAAAAuAVNanhp3tjb9T/3tpW3m5O2HL2oAdNX652fdikzJ8/qeAAqMAo9AAAAcItsNkMPdKqvFVHh6tu6lvLyTc1YuV99p8Zr7f4zVscDUEFR6AEAAIAS4u/jpvdHBuv9h4JV09tVh85m6IEP1+uFBVt1MSPH6ngAKhgKPQAAAFDC+rappRXPhOvBTvUlSfM3HtGd0XH6YesJlrgDUGIo9AAAAEAp8HFz1l/vbauvnuisJjU8dSYtS5Ff/Kaxn23UiYuXrY4HoAKg0AMAAACl6LZGfvphQndNuKOpnO2GVuw8pV7R8Zr76yHl5zNbD+DmUeiLEBMTo8DAQIWGhlodBQAAAOWcm7NdUb1b6Punu6tD/SpKy8rVK9/u0H0f/Kq9KZesjgegnKLQF4F16AEAAFDSWtTy1oJxXfTGPa3l6WLXpsPn1X/aKr0bu0dZuSxxB+DGUOgBAACAMmS3GRrdpaFio8J1Z8uayskz9d7Pe3XXtNXadPic1fEAlCMUegAAAMACdaq466PRIfrn/R1U3ctF+06laej7v+qVxdt1KZMl7gBcH4UeAAAAsIhhGBoQVEcrosI1LKSeTFOau+6wekXHKzYpxep4ABwchR4AAACwWBUPF70zNEhfjO2khtU8dDI1U2M/26inPt+kU5cyrY4HwEFR6AEAAAAH0aVJdf00KUxP9mgiu83Q0m0nFfGPOM1PSJZpssQdgMIo9AAAAIADcXO264W+LbVkfFe1reur1MxcvfDNNt3/4TodPJNudTwADoRCDwAAADig1nV8teipLnr5rlZyd7Zr3YFz6jM1XjG/7FNOXr7V8QA4AAp9EWJiYhQYGKjQ0FCrowAAAKCScrLb9Fj3xlo+OUzdm1VXdm6+/nfZbg3452ptOXLB6ngALEahL0JkZKSSkpKUkJBgdRQAAABUcgF+Hvrs0dsUPSxIVT2ctevkJd07Y43e+j5JGdm5VscDYBEKPQAAAFAOGIahwR3raUVUuAa1r6N8U/p49UH1fjdecXtOWx0PgAUo9AAAAEA5Us3LVVNHdNCcR0JVt4q7jp6/rNGfbNCkeZt1Ni3L6ngAyhCFHgAAACiHerSoqeWTwzSmWyPZDGlx4nFFRMdp4W9HWeIOqCQo9AAAAEA55enqpFfuDtTCp7qqZS1vnc/IUdRXWzTqkw06ci7D6ngAShmFHgAAACjn2gdU0XdPd9NzfVrIxcmmVXvPqPe78fpo1QHlssQdUGFR6AEAAIAKwNluU2TPpvppYnfd3thPl3Py9JcfdureGWu14/hFq+MBKAUUegAAAKACaVzDS1+OvV1vD2krHzcnbTt2UfdMX6O//bhLmTl5VscDUIIo9AAAAEAFYxiGhofW14pnwnVX29rKyzf1ftx+9Z0ar7X7zlgdD0AJodADAAAAFVRNbzfFPNhRH44KUS0fNx06m6EHPlqv5xds0YWMbKvjAbhFFPoixMTEKDAwUKGhoVZHAQAAAG5Jr0B/xUaFaeTtDSRJX208qojoOH235ThL3AHlGIW+CJGRkUpKSlJCQoLVUQAAAIBb5u3mrLcGtdGCcZ3VtKaXzqRl6+kvN2vMpxt17MJlq+MBuAkUegAAAKASCWnopx8mdNOkiGZythv6965T6h0dp0/XHlJePrP1QHlCoQcAAAAqGVcnuyZFNNfSCd0V3KCq0rPz9NqSHRr6/lrtSblkdTwAxUShBwAAACqpZv7e+vqJznprYGt5uTppc/IF3TVtlaKX71ZWLkvcAY6OQg8AAABUYjaboZGdGyo2KkwRrfyVk2dq2r/3qf97q5Rw6JzV8QBcA4UeAAAAgGr7uuvDUcGa8WBH1fB21f7T6brv/V/10qJtSs3MsToegKug0AMAAACQJBmGof5ta2vF5HCNCA2QJH2+Plm9ouO0bMdJi9MB+CMKPQAAAIBCfD2c9bch7fTl2NvVqLqnUlKz9MTcTRo3d5NSUjOtjgfg/1DoAQAAAFxV5ybV9OPE7ors2URONkM/7TipiOg4fbE+WfkscQdYjkIPAAAAoEhuznY916elvnu6m4Lq+epSZq5eXLRNIz5cp/2n06yOB1RqFHoAAAAA19Wqto8WPtVVr9wdKHdnuzYcPKd+763S9H/vVXZuvtXxgErJyeoAAAAAAErW5ew8fbf1uFbuPqULGTmq4uGsHi1qakC7OnJ3sd/0ce02Q2O6NVLvQH+9vHi74vac1t+X79F3W07ob0PaqkP9qiX4KgBcD4W+CDExMYqJiVFeXp7VUQAAAIBii01K0QvfbNW59OxC25duO6m//bhLbw9pp16B/rc0RoCfh+Y8EqpvE4/rze+TtDvlkgbPXKvRnRvq2T4t5OVKzQDKApfcFyEyMlJJSUlKSEiwOgoAAABQLLFJKXpi7sYryvzvzqVn64m5G7UiKeWWxzIMQ4M61NWKqHAN7lhXpinNWXtIvaPj9O9dt358ANdHoQcAAAAqgMvZeXrhm6263s3n803p+W+2KjOnZK5E9fN0UfSw9vrs0dtUr6q7jl/M1KNzNurpLzfrTFpWiYwB4Ooo9AAAAEAF8N3W40XOzP/RufRsLdlyvETHD2teQ8snh2ls90ayGdJ3W44rIjpOCzYdlWmyxB1QGij0AAAAQAWwcvepG9o/bvfpEs/g4eKkl+4K1OLIrmpV20cXMnL07NdbNPLjDTp8Nr3ExwMqOwo9AAAAUAFcyMi5of3PZxRvNv9mtKtXRUvGd9ULfVvK1cmm1fvOqM/UeH0Qt1+5eSxxB5QUCj0AAABQAVTxcL6h/at6uJRSkv9wttv0ZI8mWjYpTJ0bV1NmTr6m/LhLA2PWaPuxi6U6NlBZUOgBAACACqBHi5o3tH94ixqllKSwhtU99cXYTnpnaDv5ujtrx/FUDYxZo/9ZulOXs1kiGrgVFHoAAACgAhjQro78PIs3617N00X3BNUp5UT/n2EYGhYSoBVR4bq7XW3l5ZuaFX9AvafGadXekv8uP1BZUOgBAACACsDdxa63h7STzbj2fjZDentIO7k528sm2H+p4e2q6Q901MejQ1Tb101Hzl3WyI836Jmvtuh8Me/QD+D/o9ADAAAAFUSvQH/NGhlS5Ex9NU8XzRoZoohA/zJOVtidrfwVGxWu0Z0byDCkb347qojoOH2beIwl7oAb4GR1AAAAAAAlJyLQX2ub3aElW44rbvdpnc/IVlUPF4W3qKF7gupYMjN/NV6uTnpjYBvd076u/rxwq/akpGnivEQt3nxMf7m3repWcbc6IuDwKPQAAABABePmbNewkAANCwmwOsp1BTeoqu+f7q734/Zr+r/36Zfdp9UrOk7P9WmhUZ0byn697xAAlRiX3AMAAACwlIuTTRPubKalE7srtGFVZWTn6Y3vkjRk5lrtOplqdTzAYVHoAQAAADiEpjW9NP/xzvrrvW3k7eqkxCMXdPe01fr7st3KzGGJO+CPKPRFiImJUWBgoEJDQ62OAgAAAFQaNpuhBzs1UGxUuHoH+is339T0X/ap/3urtP7AWavjAQ6FQl+EyMhIJSUlKSEhweooAAAAQKVTy9dNs0aF6P2HOqqmt6sOnEnX8Fnr9OeF23Txco7V8QCHQKEHAAAA4LD6tqmt2KhwPdCpviTpyw3J6hUdp5+2n7A4GWA9Cj0AAAAAh+br7qz/ubet5j9+uxpX99SpS1ka96/f9PhnG3XyYqbV8QDLUOgBAAAAlAudGlfT0ond9fQdTeVkM7Q8KUW9ouP0r3WHlZ9vWh0PKHMUegAAAADlhpuzXc/0bqHvJ3RT+4AqupSVq5cXb9fwWb9q36k0q+MBZYpCDwAAAKDcaVnLR9882UWvDQiUh4tdCYfOq/97qzTt573Kzs23Oh5QJij0AAAAAMolu83QI10bKTYqXD1b1FB2Xr6iY/fo7n+u0qbD562OB5Q6Cj0AAACAcq1uFXd98nCopt3fQdU8XbQnJU1D31+r177drrSsXKvjAaWGQg8AAACg3DMMQ/cE1dGKqHANDa4n05Q+/fWwekXH6eedKVbHA0oFhR4AAABAhVHV00V/vy9I/xrTSfX9PHTiYqbGfLpRkV/8ptOXsqyOB5QoCj0AAACACqdbs+paNilMT4Q1lt1m6IetJxQRHaevNh6RabLEHSoGCj0AAACACsndxa4/92+lbyO7qk1dH128nKPnF2zVgx+t16Ez6VbHA24ZhR4AAABAhdamrq8WP9VVL/ZvKTdnm9buP6s+U+M1c+V+5eSxxB3KLwo9AAAAgArPyW7T42FNtGxSmLo1ra6s3Hy9/dMuDZy+RtuOXrQ6HnBTKPQAAAAAKo0G1Tw1d8xt+vt9Qari4aykE6kaGLNaf/k+SRnZLHGH8oVCDwAAAKBSMQxDQ4PraUVUuO4JqqN8U/po9UH1fjde8XtOWx0PKDYKPQAAAIBKqbqXq6bd30GzHw5V3SruOnr+skZ9skFR8xN1Lj3b6njAdVHoAQAAAFRqPVvW1PLJYXqka0MZhrRw8zFFRMdp8eZjLHEHh0ahBwAAAFDpebo66bUBrbXwyS5qWctb59KzNWl+okbPTtCRcxlWxwOuikJfhJiYGAUGBio0NNTqKAAAAADKSIf6VfXd0930bO/mcnGyKX7PafV+N14frTqgvHxm6+FYKPRFiIyMVFJSkhISEqyOAgAAAKAMOdttGn9HM/04sbtua+Snyzl5+ssPOzV4xholHU+1Oh5QgEIPAAAAAFfRpIaX5o29XVMGt5W3m5O2HL2oe6av1js/7VJmTp7V8QAKPQAAAAAUxWYzdP9t9bUiKlx9W9dSbr6pGSv3q+/UeK3df8bqeKjkKPQAAAAAcB3+Pm56f2Sw3n8oWDW9XXXobIYe+HC9XliwVRczcqyOh0qKQg8AAAAAxdS3TS2teCZcD3aqL0mav/GI7oyO09JtJ1jiDmWOQg8AAAAAN8DHzVl/vbetvnqis5rU8NSZtCw99flvGvvZJp24eNnqeKhEKPQAAAAAcBNua+SnpRO7a8KdzeRsN7RiZ4p6Rcdr7q+HlM8SdygDFHoAAAAAuEmuTnZF9WquHyZ0V8f6VZSWlatXvt2hYR/8qr0pl6yOhwqOQg8AAAAAt6i5v7cWjOuiNwe2lqeLXRsPn1f/aas0dcUeZeWyxB1KB4UeAAAAAEqAzWZoVOeGio0K150tayonz9TUFXt117TV2nT4nNXxUAFR6AEAAACgBNWp4q6PRodo+gMdVN3LRftOpWno+7/qlcXbdSmTJe5Qcij0AAAAAFDCDMPQ3e3qaEVUuIaF1JNpSnPXHVav6HjFJqVYHQ8VBIUeAAAAAEpJFQ8XvTM0SF881kkNqnnoZGqmxn62UU99vkmnLmVaHQ/lHIUeAAAAAEpZl6bVtWxSmMaFN5HdZmjptpOK+Eec5m1IlmmyxB1uDoUeAAAAAMqAm7Ndf+rXUkvGd1Xbur5KzczVnxZu0/0frtPBM+lWx0M5RKEHAAAAgDLUuo6vFj3VRS/f1UruznatO3BOfabGK+aXfcrJy7c6HsoRCj0AAAAAlDEnu02PdW+s5ZPD1L1ZdWXn5ut/l+3WgH+u1pYjF6yOh3KCQg8AAAAAFgnw89Bnj96md4cHqaqHs3advKR7Z6zRm98lKT0r1+p4cHAUegAAAACwkGEYurdDPa2ICteg9nWUb0qfrDmo3u/Ga+XuU1bHgwOj0AMAAACAA6jm5aqpIzpoziOhqlvFXccuXNbDsxM0cd5mnU3LsjoeHBCFHgAAAAAcSI8WNbV8cpge7dpINkP6NvG4IqLjtPC3oyxxh0Io9AAAAADgYDxdnfTqgEAtfKqrWtby1vmMHEV9tUWjPtmgI+cyrI4HB0GhBwAAAAAH1T6gir57upue69NCLk42rdp7Rr3fjddHqw4olyXuKj0KPQAAAAA4MGe7TZE9m+qnid11e2M/Xc7J019+2KnBM9cq6Xiq1fFgIQo9AAAAAJQDjWt46cuxt+vtIW3l4+akrUcvasD01frbj7uUmZNndTxYgEIPAAAAAOWEYRgaHlpfK54J111taysv39T7cfvVZ2q81u47Y3U8lDEKPQAAAACUMzW93RTzYEd9NCpEtX3ddPhshh74aL2eX7BFFzKyrY6HMkKhL0JMTIwCAwMVGhpqdRQAAAAAuKqIQH8tnxymkbc3kGFIX208qojoOH2/9ThL3FUCFPoiREZGKikpSQkJCVZHAQAAAIAiebs5661BbbRgXGc1remlM2nZGv/FZj326UYdv3DZ6ngoRRR6AAAAAKgAghv46YcJ3TQpopmc7YZ+3nVKvaLj9OnaQ8rLZ7a+IqLQAwAAAEAF4epk16SI5lo6obuCG1RVenaeXluyQ0PfX6s9KZesjocSRqEHAAAAgAqmmb+3vn6is94a2Fperk7anHxBd01bpejlu5WVyxJ3FQWFHgAAAAAqIJvN0MjODRUbFaaIVv7KyTM17d/71P+9VUo4dM7qeCgBFHoAAAAAqMBq+7rrw1HBmvFgR9XwdtX+0+m67/1f9dKibUrNzLE6Hm4BhR4AAAAAKjjDMNS/bW2tmByu4SEBkqTP1yerV3Sclu04aXE63CwKPQAAAABUEr4eznp7aDt9OfZ2NaruqZTULD0xd5PGzd2klNRMq+PhBlHoAQAAAKCS6dykmn6c2F1P9WgiJ5uhn3acVER0nL5Yn6x8lrgrNyj0AAAAAFAJuTnb9XzflloyvpuC6vnqUmauXly0TSM+XKf9p9OsjodioNADAAAAQCUWWMdHC5/qqlfuDpS7s10bDp5Tv/dWafq/9yo7N9/qeLgGCj0AAAAAVHJ2m6Ex3Rpp+eQwhTevoezcfP19+R7dM321NieftzoeikChBwAAAABIkgL8PDTnkVC9OzxIVT2ctevkJQ2euVZvfLdD6Vm5VsfDH1DoAQAAAAAFDMPQvR3q6ednemhwh7oyTWn2mkPq/W68ftl1yup4+C8UegAAAADAFfw8XRQ9vL0+e/Q21avqrmMXLuuROQma8OVmnUnLsjoeRKEHAAAAAFxDWPMaWj45TGO7N5LNkJZsOa6I6Dgt2HRUpskSd1ai0AMAAAAArsnDxUkv3RWoxZFdFVjbRxcycvTs11s08uMNOnw23ep4lRaFHgAAAABQLO3qVdG347vqhb4t5epk0+p9Z9Rnarw+iNuv3DyWuCtrFHoAAAAAQLE52216skcTLZsUpi5NqikzJ19TftylQTPWaPuxi1bHq1Qo9AAAAACAG9awuqc+f6yT3hnaTr7uztp+LFUDY9ZoytKdupydZ3W8SoFCDwAAAAC4KYZhaFhIgFZEheuudrWVl2/qg/gD6jM1Xqv3nrE6XoVHoQcAAAAA3JIa3q6KeaCjPh4dotq+bko+l6GHPl6vZ77aovPp2VbHq7Ao9AAAAACAEnFnK3/FRoXr4S4NZRjSN78dVUR0nL5NPMYSd6WAQg8AAAAAKDFerk56/Z7WWjCui5r7e+lserYmzkvUo3MSdOzCZavjVSgUegAAAABAiQtuUFXfP91dUb2ay8Vu0y+7T6tXdJxmrzmovHxm60sChR4AAAAAUCpcnGyacGczLZ3YXaENqyojO09vfJekITPXatfJVKvjlXsUegAAAABAqWpa00vzH++sv97bRt6uTko8ckF3T1utfyzfrcwclri7WRR6AAAAAECps9kMPdipgWKjwtU70F+5+ab++e996j9tldYfOGt1vHLJyeoAAAAAAADHdzk7T99tPa6Vu0/pQkaOqng4q0eLmhrQro7cXezFPk4tXzfNGhWiH7ed0KtLdujA6XQNn7VO998WoD/1ayVfd+dSfBUVC4UeAAAAAHBNsUkpeuGbrTr3hzXll247qb/9uEtvD2mnXoH+N3TMfm1rq0vT6vrbjzv15YYj+nLDEf2885TeHNhafdvULsn4FRaX3AMAAAAAihSblKIn5m68osz/7lx6tp6Yu1ErklJu+Ni+7s6aMrid5j1+uxpX99SpS1ka96/f9PhnG3XyYuatRq/wKPQAAAAAgKu6nJ2nF77ZquutMpdvSs9/s/Wmb3B3e+NqWjqxu8b3bConm6HlSSnqFR2nf607rHyWuCsShR4AAAAAcFXfbT1e5Mz8H51Lz9aSLcdveiw3Z7ue7dNC30/opqCAKrqUlauXF2/X8Fm/at+ptJs+bkVGoQcAAAAAXNXK3aduaP+43advecyWtXy08MkuevXuQHm42JVw6Lz6v7dK037eq+zc/Fs+fkVCoQcAAAAAXNWFjJwb2v98RvFm86/HbjP0aLdGWj45TD1b1FB2Xr6iY/fo7n+u0qbD50tkjIqAQg8AAAAAuKoqHje2hFxVD5cSHb9eVQ998nCo3hvRXtU8XbQnJU1D31+r15fsUFpWbomOVR5R6AEAAAAAV9WjRc0b2j+8RY0Sz2AYhga2r6sVUeEaGlxPpinNWXtIvaPj9PPOG7+zfkVCoQcAAAAAXNWAdnXk51m8Wfdqni66J6hOqWWp6umiv98XpH+N6aT6fh46fjFTYz7dqPFf/KbTl7JKbVxHRqEHAAAAAFyVu4tdbw9pJ5tx7f1shvT2kHZyc7aXeqZuzapr2aQwPR7WWDZD+n7rCUVEx+mrjUdkmpVriTsKPQAAAACgSL0C/TVrZEiRM/XVPF00a2SIIgL9yyyTu4tdL/ZvpSXju6l1HR9dvJyj5xds1YMfrdehM+lllsNqTlYHAAAAAAA4tohAf61tdoeWbDmuuN2ndT4jW1U9XBTeoobuCapTJjPzV9Omrq++jeyqj1cf1Lsr9mjt/rPqMzVekyKa67HujeRsr9hz2JWm0GdkZKhVq1a677779Pe//93qOAAAAABQrrg52zUsJEDDQgKsjlKIk92mJ8KbqG+bWnpp0Xat3ndGb/+0S99tOa63h7RT23q+VkcsNRX744r/8te//lWdOnWyOgYAAAAAoBQ0qOapuWNu09/vC5Kvu7OSTqRqYMxq/fWHJGVkV8wl7ipFod+7d6927dql/v37Wx0FAAAAAFBKDMPQ0OB6+vmZcN0TVEf5pvThqoPqMzVe8XtOWx2vxFle6OPj4zVgwADVqVNHhmFo8eLFV+wzY8YMNWrUSG5ubgoODtaqVatuaIxnn31WU6ZMKaHEAAAAAABHVt3LVdPu76DZD4eqbhV3HTl3WaM+2aCo+Yk6l55tdbwSY3mhT09PV1BQkKZPn37V5+fPn69JkybppZde0ubNm9W9e3f169dPycnJBfsEBwerTZs2V/xz/Phxffvtt2revLmaN29eVi8JAAAAAOAAerasqeWTw/RI14YyDGnh5mMa/8VvVscqMZbfFK9fv37q169fkc9HR0drzJgxeuyxxyRJU6dO1bJlyzRz5syCWfdNmzYV+fPr1q3TvHnz9PXXXystLU05OTny8fHRq6++etX9s7KylJWVVfA4NTVVkpSTk6OcnJwbfn0AgIrn9/MB5wUAAByfi016sW9z9W9dU68s2anJdzZx+HN5cXMZpmmapZyl2AzD0KJFizRo0CBJUnZ2tjw8PPT111/r3nvvLdhv4sSJSkxMVFxc3A0df86cOdq+ffs173L/+uuv64033rhi+xdffCEPD48bGg8AAAAA4DjyTclmWJ3i+jIyMvTAAw/o4sWL8vHxKXI/y2for+XMmTPKy8uTv79/oe3+/v46efJkqYz55z//WVFRUQWPU1NTFRAQoN69e1/zjQQAVB45OTmKjY1Vr1695OzsbHUcAABwgxz9XP77leLX49CF/neGUfgjFNM0r9hWHA8//PB193F1dZWrq+sV252dnR3yFw0AsA7nBgAAyjdHPZcXN5PlN8W7lurVq8tut18xG3/q1KkrZu0BAAAAAKhMHLrQu7i4KDg4WLGxsYW2x8bGqkuXLhalAgAAAADAepZfcp+WlqZ9+/YVPD548KASExPl5+en+vXrKyoqSiNHjlRISIg6d+6sWbNmKTk5WePGjbMwNQAAAAAA1rK80G/cuFE9e/YsePz7DelGjx6tOXPmaPjw4Tp79qzefPNNnThxQm3atNHSpUvVoEEDqyIDAAAAAGA5ywt9jx49dL2V85566ik99dRTZZToP2JiYhQTE6O8vLwyHRcAAAAAgOJw6O/QWykyMlJJSUlKSEiwOgoAAAAAAFeg0AMAAAAAUA5R6AEAAAAAKIco9AAAAAAAlEMUegAAAAAAyiEKPQAAAAAA5RCFHgAAAACAcohCX4SYmBgFBgYqNDTU6igAAAAAAFyBQl8E1qEHAAAAADgyCj0AAAAAAOUQhR4AAAAAgHKIQg8AAAAAQDlEoQcAAAAAoByi0AMAAAAAUA5R6AEAAAAAKIco9AAAAAAAlEMUegAAAAAAyiEKfRFiYmIUGBio0NBQq6MAAAAAAHAFCn0RIiMjlZSUpISEBKujAAAAAABwBQo9AAAAAADlEIUeAAAAAIByyMnqAI7ONE1JUmpqqsVJAACOIicnRxkZGUpNTZWzs7PVcQAAwA1y9HP57/3z9z5aFAr9dVy6dEmSFBAQYHESAAAAAEBlcunSJfn6+hb5vGFer/JXcvn5+Tp+/Li8vb1lGIbVca4pNDSUm/iVosr6/laE1+3Ir8FRspV1jrIar7TGSU1NVUBAgI4cOSIfH58SPz4qL0f5O6Giqqzvb0V43Y78GhwhmxUZOJeXLtM0denSJdWpU0c2W9HflGeG/jpsNpvq1atndYxisdvtDvmHsaKorO9vRXjdjvwaHCVbWecoq/FKexwfHx+H+P2h4nCUvxMqqsr6/laE1+3Ir8ERslmRgXN56bvWzPzvuCleBRIZGWl1hAqtsr6/FeF1O/JrcJRsZZ2jrMZzlPcXKC7+zJauyvr+VoTX7civwRGyWZGBc7lj4JJ7AABuUGpqqnx9fXXx4kWH/VQfAAAUraKcy5mhBwDgBrm6uuq1116Tq6ur1VEAAMBNqCjncmboAQAAAAAoh5ihBwAAAACgHKLQAwAAAABQDlHoAQAAAAAohyj0AAAAAACUQxR6AAAAAADKIQo9AAAl6N5771XVqlU1dOhQq6MAAIAbdOTIEfXo0UOBgYFq166dvv76a6sjXRPL1gEAUIJ++eUXpaWl6dNPP9WCBQusjgMAAG7AiRMnlJKSovbt2+vUqVPq2LGjdu/eLU9PT6ujXRUz9AAAlKCePXvK29vb6hgAAOAm1K5dW+3bt5ck1axZU35+fjp37py1oa6BQg8AwP+Jj4/XgAEDVKdOHRmGocWLF1+xz4wZM9SoUSO5ubkpODhYq1atKvugAADgqkryXL5x40bl5+crICCglFPfPAo9AAD/Jz09XUFBQZo+ffpVn58/f74mTZqkl156SZs3b1b37t3Vr18/JScnl3FSAABwNSV1Lj979qxGjRqlWbNmlUXsm8Z36AEAuArDMLRo0SINGjSoYFunTp3UsWNHzZw5s2Bbq1atNGjQIE2ZMqVg28qVKzV9+nS+Qw8AgIVu9lyelZWlXr16aezYsRo5cmRZx74hzNADAFAM2dnZ2rRpk3r37l1oe+/evbV27VqLUgEAgOIqzrncNE09/PDDuuOOOxy+zEsUegAAiuXMmTPKy8uTv79/oe3+/v46efJkweM+ffrovvvu09KlS1WvXj0lJCSUdVQAAHAVxTmXr1mzRvPnz9fixYvVvn17tW/fXtu2bbMibrE4WR0AAIDyxDCMQo9N0yy0bdmyZWUdCQAA3IBrncu7deum/Px8K2LdFGboAQAohurVq8tutxeajZekU6dOXfFJPwAAcDwV8VxOoQcAoBhcXFwUHBys2NjYQttjY2PVpUsXi1IBAIDiqojnci65BwDg/6SlpWnfvn0Fjw8ePKjExET5+fmpfv36ioqK0siRIxUSEqLOnTtr1qxZSk5O1rhx4yxMDQAAflfZzuUsWwcAwP9ZuXKlevbsecX20aNHa86cOZKkGTNm6J133tGJEyfUpk0bvfvuuwoLCyvjpAAA4Goq27mcQg8AAAAAQDnEd+gBAAAAACiHKPQAAAAAAJRDFHoAAAAAAMohCj0AAAAAAOUQhR4AAAAAgHKIQg8AAAAAQDlEoQcAAAAAoByi0AMAAAAAUA5R6AEAuAWzZs1SQECAbDabpk6danWc63r44Yc1aNAgq2M4nIYNG5aL358kvf7662rfvn3B42effVYTJkywLhAAwDIUegBApXT69Gk5OzsrIyNDubm58vT0VHJy8g0dIzU1VePHj9cLL7ygY8eO6fHHHy+ltEDRnn/+ec2ePVsHDx60OgoAoIxR6AEAldKvv/6q9u3by8PDQ5s2bZKfn5/q169/Q8dITk5WTk6O7rrrLtWuXVseHh6llNaxmaap3Nxcq2NIkrKzs62OUOZq1qyp3r176/3337c6CgCgjFHoAQCV0tq1a9W1a1dJ0urVqwv++78lJydr4MCB8vLyko+Pj4YNG6aUlBRJ0pw5c9S2bVtJUuPGjWUYhg4dOnTFMQ4dOiTDMPTVV1+pe/fucnd3V2hoqPbs2aOEhASFhITIy8tLffv21enTpwv97OzZs9WqVSu5ubmpZcuWmjFjRokcV5LeeOMN1axZUz4+PnriiScKFWHTNPXOO++ocePGcnd3V1BQkBYsWFDw/MqVK2UYhpYtW6aQkBC5urpq1apV2rJli3r27Clvb2/5+PgoODhYGzduLPJ3YBiGZs6cqX79+snd3V2NGjXS119/XWifY8eOafjw4apataqqVaumgQMHFnqff/8KwZQpU1SnTh01b968yPGWLFmikJAQubm5qXr16ho8eHCh5zMyMvToo4/K29tb9evX16xZswo9/8ILL6h58+by8PBQ48aN9corrygnJ6fg+d8vhZ87d64aNmwoX19fjRgxQpcuXSrYp0ePHpowYYKef/55+fn5qVatWnr99dcLjXPx4kU9/vjjBb+fO+64Q1u2bCnydUnSPffcoy+//PKa+wAAKiATAIBK4vDhw6avr6/p6+trOjs7m25ubqavr6/p4uJiurq6mr6+vuaTTz5pmqZp5ufnmx06dDC7detmbty40Vy3bp3ZsWNHMzw83DRN08zIyDBXrFhhSjI3bNhgnjhxwszNzb1izIMHD5qSzJYtW5o//fSTmZSUZN5+++1mx44dzR49epirV682f/vtN7Np06bmuHHjCn5u1qxZZu3atc1vvvnGPHDggPnNN9+Yfn5+5pw5c27puKNHjza9vLzM4cOHm9u3bze///57s0aNGuaLL75YsM+LL75YcNz9+/ebs2fPNl1dXc2VK1eapmmav/zyiynJbNeunbl8+XJz37595pkzZ8zWrVubDz30kLlz505zz5495ldffWUmJiYW+fuQZFarVs388MMPzd27d5svv/yyabfbzaSkJNM0TTM9Pd1s1qyZ+eijj5pbt241k5KSzAceeMBs0aKFmZWVVej1jBw50ty+fbu5bdu2q471/fffm3a73Xz11VfNpKQkMzEx0fzrX/9a8HyDBg1MPz8/MyYmxty7d685ZcoU02azmTt37izY56233jLXrFljHjx40FyyZInp7+9vvv322wXPv/baa6aXl5c5ePBgc9u2bWZ8fLxZq1atQu9teHi46ePjY77++uvmnj17zE8//dQ0DMNcvnx5wZ+7rl27mgMGDDATEhLMPXv2mM8884xZrVo18+zZswXjBAUFFXp9SUlJpiTz0KFDRb7fAICKh0IPAKg0cnJyzIMHD5pbtmwxnZ2dzcTERHPfvn2ml5eXGRcXZx48eNA8ffq0aZqmuXz5ctNut5vJyckFP79jx46CAm+aprl582ZTknnw4MEix/y9eH/00UcF27788ktTkvnzzz8XbJsyZYrZokWLgscBAQHmF198UehYb731ltm5c+dbOu7o0aNNPz8/Mz09vWDbzJkzTS8vLzMvL89MS0sz3dzczLVr1xYae8yYMeb9999vmub/L/SLFy8utI+3t3fBBw7FIanQhw2maZqdOnUq+FDl448/Nlu0aGHm5+cXPJ+VlWW6u7uby5YtK3g9/v7+BQW/KJ07dzYffPDBIp9v0KCB+dBDDxU8zs/PN2vWrGnOnDmzyJ955513zODg4ILHr732munh4WGmpqYWbHvuuefMTp06FTwODw83u3XrVug4oaGh5gsvvGCapmn+/PPPpo+Pj5mZmVlonyZNmpgffPBBwTh/LPQXL140JRV86AIAqBycLLgoAAAASzg5Oalhw4b66quvFBoaqqCgIK1Zs0b+/v4KCwsrtO/OnTsVEBCggICAgm2BgYGqUqWKdu7cqdDQ0Bsau127dgX/7e/vL0kFl+z/vu3UqVOS/nPDviNHjmjMmDEaO3ZswT65ubny9fW96eP+LigoqND3/Tt37qy0tDQdOXJEp06dUmZmpnr16lXoZ7Kzs9WhQ4dC20JCQgo9joqK0mOPPaa5c+cqIiJC9913n5o0aVLUW1Iw9h8fJyYmSpI2bdqkffv2ydvbu9A+mZmZ2r9/f8Hjtm3bysXF5ZrjJCYmFnovr+a/30vDMFSrVq1C792CBQs0depU7du3T2lpacrNzZWPj0+hYzRs2LBQ3tq1a1/x/v/3OH/cZ9OmTUpLS1O1atUK7XP58uVCr/mP3N3dJf3nawMAgMqDQg8AqDRat26tw4cPKycnR/n5+fLy8lJubq5yc3Pl5eWlBg0aaMeOHZL+8z1ywzCuOEZR26/H2dm54L9///k/bsvPz5ekgn9/+OGH6tSpU6Hj2O32mz7u9fz3vj/88IPq1q1b6HlXV9dCjz09PQs9fv311/XAAw/ohx9+0I8//qjXXntN8+bN07333lus8f/4OvLz8xUcHKzPP//8in1q1KhRZI6r+b3wXst/v2+/5/j9/Vi3bp1GjBihN954Q3369JGvr6/mzZunf/zjH8U+RnH2yc/PV+3atbVy5cor8lWpUqXI7OfOnZNU+H0BAFR8FHoAQKWxdOlS5eTk6M4779Q777yj4OBgjRgxQg8//LD69u1bqGgFBgYqOTlZR44cKZilT0pK0sWLF9WqVatSzenv76+6devqwIEDevDBB0v8+Fu2bNHly5cLSu66devk5eWlevXqqWrVqnJ1dVVycrLCw8Nv+NjNmzdX8+bNNXnyZN1///2aPXv2NQv9unXrNGrUqEKPf78SoGPHjpo/f37BzeFuRbt27fTzzz/rkUceuamfX7NmjRo0aKCXXnqpYNvhw4dvKdPVdOzYUSdPniy4mqS4tm/fLmdnZ7Vu3brEMwEAHBeFHgBQaTRo0EAnT55USkqKBg4cKJvNpqSkJA0ePFh16tQptG9ERITatWunBx98UFOnTlVubq6eeuophYeHX3GpeWl4/fXXNWHCBPn4+Khfv37KysrSxo0bdf78eUVFRd3SsbOzszVmzBi9/PLLOnz4sF577TWNHz9eNptN3t7eevbZZzV58mTl5+erW7duSk1N1dq1a+Xl5aXRo0df9ZiXL1/Wc889p6FDh6pRo0Y6evSoEhISNGTIkGtm+frrrxUSEqJu3brp888/14YNG/Txxx9Lkh588EH97//+rwYOHKg333xT9erVU3JyshYuXKjnnntO9erVK/Zrfu2113TnnXeqSZMmGjFihHJzc/Xjjz/q+eefL9bPN23aVMnJyZo3b55CQ0P1ww8/aNGiRcUev7giIiLUuXNnDRo0SG+//bZatGih48ePa+nSpRo0aFCRf/ZWrVpVsNoBAKDyYNk6AEClsnLlSoWGhsrNzU3r169X3bp1ryjz0n8ug168eLGqVq2qsLAwRUREqHHjxpo/f36Z5Hzsscf00UcfFSyPFx4erjlz5qhRo0a3fOw777xTzZo1U1hYmIYNG6YBAwYUWjrtrbfe0quvvqopU6aoVatW6tOnj7777rtrjm2323X27FmNGjVKzZs317Bhw9SvXz+98cYb18zyxhtvaN68eWrXrp0+/fRTff755woMDJQkeXh4KD4+XvXr19fgwYPVqlUrPfroo7p8+fINz9j36NFDX3/9tZYsWaL27dvrjjvu0Pr164v98wMHDtTkyZM1fvx4tW/fXmvXrtUrr7xyQxmKwzAMLV26VGFhYXr00UfVvHlzjRgxQocOHSq4R8LVfPnll9e9RwAAoOIxTNM0rQ4BAAAqH8MwtGjRIg0aNMjqKOXaDz/8oOeee05bt26VkxMXXwJAZcIMPQAAQDmWnp6u2bNnU+YBoBLib34AAIBybNiwYVZHAABYhEIPAAAswbf+AAC4NVxyDwAAAABAOUShBwAAAACgHKLQAwAAAABQDlHoAQAAAAAohyj0AAAAAACUQxR6AAAAAADKIQo9AAAAAADlEIUeAAAAAIByiEIPAAAAAEA59P8A2oN5mRIon0QAAAAASUVORK5CYII=",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ks = [k+2 for k, res in results.items()]\n",
"failure_rates = [res[-1] for k, res in results.items()]\n",
"\n",
"plt.figure(figsize=(12,9))\n",
"plt.title(\"Comparing party size of channels with expected failure rates in the network when doing 1M sats payments\")\n",
"plt.scatter(ks,failure_rates,linewidth=3,label=\"simulated data\")\n",
"plt.plot([x for x in range(2,100)], [1/x**2 for x in range(2,100)],label=\"f(n) = 1/n^2\")\n",
"plt.xscale(\"log\")\n",
"plt.yscale(\"log\")\n",
"plt.grid()\n",
"plt.ylabel(\"failure rate)\")\n",
"plt.legend(loc=\"center right\")\n",
"plt.xlabel(\"#of members per channel)\")\n",
"plt.show()\n"
]
},
{
"cell_type": "markdown",
"id": "12296ac2-a84e-4242-bdcc-932c2b725ce4",
"metadata": {},
"source": [
"We can see that payment failure rates seem to be proportional to some power of the inverse number of members in the channels. Of course there are more parameters like the number of participants, the number of channels and the amount that we tested. We need to explore those features a bit deeper instead of showing just one line for arbitrary choice of data. "
]
},
{
"cell_type": "markdown",
"id": "98a2870a-d861-4e75-b291-95bd7f4d3f0d",
"metadata": {},
"source": [
"## Conclusions\n",
"\n",
"We have been able to model the set of possible wealth distributions in a (multiparty) payment channel network as a sub polytope of the possible wealth distributionis of the bitcoin network. Through Monte Carlo Simulations we are able to quantify the relative volume of the polytope defined through the topoology of (multiparty) payment channel network. In particular the larger the volume the more payments can be facilitated without requiring additional on chain transactions to manage liquidity.\n",
"\n",
"We were able to see that for two party channels most wealth distributions are impossible even if the network topology is a fully connected graph. Note that if we had enough on chain capacity to maintain a fully connected network we wouldn´t need a payment channel network to begin with. Furthermore we could empirically demonstrate that even in this topology the number of achievable wealth distributions shrinks exponentially with the number of peers. The consequence seems to be that 2-party channels are impracticle to become highly reliable and be able to gurantee that $99.9999\\%$ of payments are at least theoretically possible without running violating the constraints coming from the channels. \n",
"\n",
"Furthermore the constraints of the half spaces describing $2$-party payment channels are weakened drastically if we allow for multi party channels. We can show that with the same number of channels the number of possible wealth distributions converges quickly to $100\\%$ if we increase the number of members of the multiparty channels. \n",
"\n",
"In particular when taking a snapshot of the Lighting Network and testing $100k$ wealth distributions that are possible with the allocated liquidity we didn´t have a single wealth distribution that was achievable within the network topology. If on the other hand we created the same number of $120$-party channels almost 100% of the tested wealth distributions where achievable in the multiparty channel network. \n",
"\n",
"We thus believe that constraining liquidity to just two peers ist too heavy of a constraint. Instead having multiparties of about one hundred peer, that may not require too much on chain space to resolve in the case of disagreement or failure of nodes to communicate seem to be a much more desireable trade off than the current $2$-party channel design of the network. \n",
"\n",
"In particular we have strong evidence to believe that the liquidity problem of the $2$-party channel lightning network needs too many on chain transactions to be solved (as the volumes of the polytope becomes too small) and that the two-party channel design is the actual problem for the observed payment failures. \n",
"\n",
"**Disclaimer: multiparty channels and channel factories have been proposed earlier. This work just provides a systematical and quantifyable reasoneing that they might be necessary to implement for off-chain payment channel networks to achieve reasonable service level objectives**\n",
"\n",
"## Future work\n",
"* (Hopefully) We give a (reasonable) lower bound of onchain transactions that are at least necessary to be able to achieve any wealth distribution with the given channel design.\n",
"* Define a routnig protocol for multi party channels / hypergraphs\n",
"* Define a communication / coordination protocol such that peers can find reasonable parties\n",
"* Find a protocol for timeout trees / channel factories that minimizes interactivity to update states and on chhain bandwidth in case of communication failures. "
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