diff --git a/analysis/sims/kernels.nix b/analysis/sims/kernels.nix index 0fe971a14..5226a3de5 100644 --- a/analysis/sims/kernels.nix +++ b/analysis/sims/kernels.nix @@ -27,11 +27,15 @@ in curl data_table dplyr + geosphere ggpattern ggplot2 ggExtra igraph + ltsa lubridate + mapproj + maps mongolite poibin quantreg diff --git a/post-cip/mempool-measurements/Exploratory analysis.ipynb b/post-cip/mempool-measurements/Exploratory analysis.ipynb new file mode 100644 index 000000000..3587772ce --- /dev/null +++ b/post-cip/mempool-measurements/Exploratory analysis.ipynb @@ -0,0 +1,2442 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "0e22dc5e-f179-470d-8fea-026c81dbd37e", + "metadata": { + "tags": [] + }, + "source": [ + "# Exploratory analysis of mempool telementry experiment" + ] + }, + { + "cell_type": "markdown", + "id": "a27c6f04-ef44-480b-a37e-257fb2cded31", + "metadata": {}, + "source": [ + "## Set up" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "03b2db9d-cf00-4749-b13b-c42bee597d5c", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "suppressMessages({\n", + " require(RColorBrewer, quietly=TRUE)\n", + " require(data.table, quietly=TRUE)\n", + " require(ggplot2, quietly=TRUE)\n", + " require(magrittr, quietly=TRUE)\n", + " require(ltsa, quietly=TRUE)\n", + " require(maps, quietly=TRUE)\n", + " require(maps, quietly=TRUE)\n", + " require(geosphere, quietly=TRUE)\n", + "})" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "07e859eb-dea1-42f6-b075-be270c7fb4be", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "bauTime <- as.POSIXct(\"2025-11-22 02:00:00\", tz = \"UTC\")" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "6631fe6b-3c60-48c1-bb39-3d1146d67b89", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "bauSlot <- 172210527" + ] + }, + { + "cell_type": "markdown", + "id": "f593bb32-78c8-4c8b-9894-3be58ec4afe1", + "metadata": {}, + "source": [ + "## Mempool vs blocks" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "99a64f58-c49e-433b-8c21-489413c9ef3e", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "text/plain": [ + " Region Slot \n", + " : 0 Min. :172020832 \n", + " ap-northeast-1:141172 1st Qu.:172237207 \n", + " eu-central-1 :191057 Median :172371668 \n", + " us-east-2 :140292 Mean :172358227 \n", + " NA's : 2423 3rd Qu.:172484179 \n", + " Max. :172602993 \n", + " \n", + " Block hash \n", + " 4b9b817fb2ebd0959b7d31decc8225f6c4de874c2359706c327753c3961f4cc9: 237 \n", + " b7dd177e8bf0ad0a52d41b1747bfde10b329ff4167bb408a5d7fef2735248e03: 234 \n", + " 90ab0197e16e39cf5af31bd1d193151f3582a2bee468ea953987e4b1c59de280: 224 \n", + " b04ba46586aef364000ee0e42fa5fba6cdfae2294950e1ffb6c7fa2059fb7460: 222 \n", + " 9df8b4b6540b29d644074144490c0abb76d49ca62e11f9d4822ed1e0b6f8c0b2: 216 \n", + " 007e315be01f4cfb74e3c1c95f664aca16bf461be4cae4fe6e78e783896ea0b1: 201 \n", + " (Other) :473610 \n", + " Tx hash \n", + " 10e72a2c12f5a3523adeb2e89fc6f8dab8bead71288681ab97567b3b3dee5265: 6 \n", + " 10e72a2cf4d08e5807d20ec451a8bbbf38a8fb2bf77815dc8e7d4d9268bc71f2: 6 \n", + " 3fb850f519b8a93d02f13255e496b5d9ea60424db4e0c584bb6cff9590ab28c3: 6 \n", + " 46fd56fc3ac733158de645bc9f915dcde50f07af93fa094319a3afe55be75065: 6 \n", + " 5d9b98e1e74b2b2e691267a52812c58f968dd1f7ee01f6005000d85c5ade33a3: 6 \n", + " 7e3b26d6ed443c4f1c970afacf79540731d0b2abbfe483fd78740d108758b23f: 6 \n", + " (Other) :474908 \n", + " Tx hash8 Slot time \n", + " 10e72a2c: 12 Min. :2025-11-19 21:18:43.00 \n", + " 91aec246: 12 1st Qu.:2025-11-22 09:24:58.00 \n", + " 450eafed: 10 Median :2025-11-23 22:45:59.00 \n", + " 3fb850f5: 6 Mean :2025-11-23 19:01:58.27 \n", + " 46fd56fc: 6 3rd Qu.:2025-11-25 06:01:10.00 \n", + " 5d9b98e1: 6 Max. :2025-11-26 15:01:24.00 \n", + " (Other) :474892 \n", + " Block logged Tx logged \n", + " Min. :2025-11-19 21:20:07.99 Min. :2025-11-19 22:24:02.38 \n", + " 1st Qu.:2025-11-22 10:02:11.36 1st Qu.:2025-11-22 17:05:34.52 \n", + " Median :2025-11-23 23:05:44.43 Median :2025-11-24 03:20:41.94 \n", + " Mean :2025-11-23 19:23:02.65 Mean :2025-11-23 23:45:03.84 \n", + " 3rd Qu.:2025-11-25 06:14:28.27 3rd Qu.:2025-11-25 08:03:25.54 \n", + " Max. :2025-11-26 15:01:24.69 Max. :2025-11-26 15:01:24.00 \n", + " NA's :2423 NA's :67583 \n", + " Mempool - slot time [s] Block - slot time [s] Tx seen first \n", + " Min. :-412281.3 Min. : 0.02 Mode :logical \n", + " 1st Qu.: -29.1 1st Qu.: 0.25 FALSE:67864 \n", + " Median : -14.4 Median : 0.43 TRUE :407080 \n", + " Mean : -20.5 Mean : 249.26 \n", + " 3rd Qu.: -5.8 3rd Qu.: 0.68 \n", + " Max. : 412219.3 Max. :86852.64 \n", + " NA's :67583 NA's :2423 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "mempoolBlocks <- fread(\"mempool-vs-blocks.tsv.gz\", stringsAsFactors=TRUE)\n", + "colnames(mempoolBlocks) <- c(\"Region\", \"Slot\", \"Block hash\", \"Tx hash\", \"Tx hash8\", \"Slot time\", \"Block logged\", \"Tx logged\", \"Mempool - slot time [s]\", \"Block - slot time [s]\", \"Tx seen first\")\n", + "mempoolBlocks[`Region` == '', `Region`:=NA]\n", + "mempoolBlocks %>% summary" + ] + }, + { + "cell_type": "markdown", + "id": "10182c39-6681-4fbf-be14-62a86a3eaeb5", + "metadata": {}, + "source": [ + "## Probability that a transaction is in one node's mempool, given that it is in another node's mempool." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "cc76d47c-ccd5-433d-97d4-57007569bf5c", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "text/plain": [ + " Slot \n", + " Min. :172024805 \n", + " 1st Qu.:172197809 \n", + " Median :172352157 \n", + " Mean :172337772 \n", + " 3rd Qu.:172467828 \n", + " Max. :172602993 \n", + " \n", + " Tx hash \n", + " 000076f241bac990ec1f45cda72f343f80bfe8d73fce67cc4328269d0fe13ae3: 1 \n", + " 000109649f9a8f10c9a4bd88bee05aa2b192b88c6f55c854157dc0a8860cafec: 1 \n", + " 00017d9d70055b1fa0a1827644fdc4b94bfb43c0606f62c017af4fe05d3f1664: 1 \n", + " 0001b087d39d2da5e69699d81bac4a6e580df07af5389952aefcfde632b9dc0e: 1 \n", + " 0001b9d5294bae38b731b1bcc1cdcf7c5119d31736b88d5bd9529668a0153eb8: 1 \n", + " 000216c68da0895ac434fec8b303eb0dd7e287806b73860f90d59ed48da6c89d: 1 \n", + " (Other) :173256 \n", + " ap-northeast-1 eu-central-1 \n", + " Min. :2025-11-21 18:13:20.31 Min. :2025-11-19 22:24:02.38 \n", + " 1st Qu.:2025-11-23 04:35:58.04 1st Qu.:2025-11-21 20:12:11.10 \n", + " Median :2025-11-24 12:29:01.55 Median :2025-11-23 15:42:47.81 \n", + " Mean :2025-11-24 08:01:06.05 Mean :2025-11-23 11:21:43.10 \n", + " 3rd Qu.:2025-11-25 12:30:28.64 3rd Qu.:2025-11-24 22:31:19.83 \n", + " Max. :2025-11-26 15:01:24.00 Max. :2025-11-26 14:59:43.71 \n", + " NA's :46083 NA's :9338 \n", + " us-east-2 \n", + " Min. :2025-11-21 16:08:10.60 \n", + " 1st Qu.:2025-11-23 06:57:10.00 \n", + " Median :2025-11-24 10:28:17.85 \n", + " Mean :2025-11-24 08:12:45.44 \n", + " 3rd Qu.:2025-11-25 12:43:48.97 \n", + " Max. :2025-11-26 13:38:23.03 \n", + " NA's :57301 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "arrivals <- dcast(\n", + " mempoolBlocks[!is.na(`Tx logged`)],\n", + " `Slot` + `Tx hash` ~ `Region`,\n", + " value.var = \"Tx logged\",\n", + " fun.aggregate = function(x) {\n", + " x[1]\n", + " }\n", + ")\n", + "arrivals %>% summary" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "e313b7bd-19d3-4098-a060-9036c94f94aa", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "pxy <- function(x, y) {\n", + " if (is.na(y))\n", + " NA\n", + " else if (is.na(x))\n", + " 0\n", + " else\n", + " 1\n", + "}" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "e7bbde76-9616-4cd6-b5d1-7ae57c168332", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "text/plain": [ + " Slot \n", + " Min. :172024805 \n", + " 1st Qu.:172197809 \n", + " Median :172352157 \n", + " Mean :172337772 \n", + " 3rd Qu.:172467828 \n", + " Max. :172602993 \n", + " \n", + " Tx hash \n", + " 000076f241bac990ec1f45cda72f343f80bfe8d73fce67cc4328269d0fe13ae3: 1 \n", + " 000109649f9a8f10c9a4bd88bee05aa2b192b88c6f55c854157dc0a8860cafec: 1 \n", + " 00017d9d70055b1fa0a1827644fdc4b94bfb43c0606f62c017af4fe05d3f1664: 1 \n", + " 0001b087d39d2da5e69699d81bac4a6e580df07af5389952aefcfde632b9dc0e: 1 \n", + " 0001b9d5294bae38b731b1bcc1cdcf7c5119d31736b88d5bd9529668a0153eb8: 1 \n", + " 000216c68da0895ac434fec8b303eb0dd7e287806b73860f90d59ed48da6c89d: 1 \n", + " (Other) :173256 \n", + " P(eu|ap) P(us|ap) P(ap|eu) P(us|eu) \n", + " Min. :0.00 Min. :0.00 Min. :0.000 Min. :0.000 \n", + " 1st Qu.:1.00 1st Qu.:1.00 1st Qu.:0.000 1st Qu.:0.000 \n", + " Median :1.00 Median :1.00 Median :1.000 Median :1.000 \n", + " Mean :0.94 Mean :0.88 Mean :0.729 Mean :0.656 \n", + " 3rd Qu.:1.00 3rd Qu.:1.00 3rd Qu.:1.000 3rd Qu.:1.000 \n", + " Max. :1.00 Max. :1.00 Max. :1.000 Max. :1.000 \n", + " NA's :46083 NA's :46083 NA's :9338 NA's :9338 \n", + " P(ap|us) P(eu|us) \n", + " Min. :0.00 Min. :0.00 \n", + " 1st Qu.:1.00 1st Qu.:1.00 \n", + " Median :1.00 Median :1.00 \n", + " Mean :0.97 Mean :0.93 \n", + " 3rd Qu.:1.00 3rd Qu.:1.00 \n", + " Max. :1.00 Max. :1.00 \n", + " NA's :57301 NA's :57301 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "combinations <-\n", + " arrivals[, .(\n", + " `Slot`,\n", + " `Tx hash`,\n", + " `P(eu|ap)`=mapply(pxy, `eu-central-1`, `ap-northeast-1`),\n", + " `P(us|ap)`=mapply(pxy, `us-east-2`, `ap-northeast-1`),\n", + " `P(ap|eu)`=mapply(pxy, `ap-northeast-1`, `eu-central-1`),\n", + " `P(us|eu)`=mapply(pxy, `us-east-2`, `eu-central-1`),\n", + " `P(ap|us)`=mapply(pxy, `ap-northeast-1`, `us-east-2`),\n", + " `P(eu|us)`=mapply(pxy, `eu-central-1`, `us-east-2`)\n", + " )]\n", + "combinations %>% summary" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "5212cc58-9106-487d-a6e4-7e8538cc82a0", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\n", + "
A data.table: 2 x 7
BAU?P(eu|ap)P(us|ap)P(ap|eu)P(us|eu)P(ap|us)P(eu|us)
<lgl><dbl><dbl><dbl><dbl><dbl><dbl>
FALSE0.98226890.20158370.11950240.026765520.85474450.9328467
TRUE0.93724970.91541570.97915230.915085730.96957000.9277430
\n" + ], + "text/latex": [ + "A data.table: 2 x 7\n", + "\\begin{tabular}{lllllll}\n", + " BAU? & P(eu\\textbar{}ap) & P(us\\textbar{}ap) & P(ap\\textbar{}eu) & P(us\\textbar{}eu) & P(ap\\textbar{}us) & P(eu\\textbar{}us)\\\\\n", + " & & & & & & \\\\\n", + "\\hline\n", + "\t FALSE & 0.9822689 & 0.2015837 & 0.1195024 & 0.02676552 & 0.8547445 & 0.9328467\\\\\n", + "\t TRUE & 0.9372497 & 0.9154157 & 0.9791523 & 0.91508573 & 0.9695700 & 0.9277430\\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "A data.table: 2 x 7\n", + "\n", + "| BAU? <lgl> | P(eu|ap) <dbl> | P(us|ap) <dbl> | P(ap|eu) <dbl> | P(us|eu) <dbl> | P(ap|us) <dbl> | P(eu|us) <dbl> |\n", + "|---|---|---|---|---|---|---|\n", + "| FALSE | 0.9822689 | 0.2015837 | 0.1195024 | 0.02676552 | 0.8547445 | 0.9328467 |\n", + "| TRUE | 0.9372497 | 0.9154157 | 0.9791523 | 0.91508573 | 0.9695700 | 0.9277430 |\n", + "\n" + ], + "text/plain": [ + " BAU? P(eu|ap) P(us|ap) P(ap|eu) P(us|eu) P(ap|us) P(eu|us) \n", + "1 FALSE 0.9822689 0.2015837 0.1195024 0.02676552 0.8547445 0.9328467\n", + "2 TRUE 0.9372497 0.9154157 0.9791523 0.91508573 0.9695700 0.9277430" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "probabilities <- combinations[\n", + " ,\n", + " .(\n", + " `P(eu|ap)`=mean(`P(eu|ap)`, na.rm=TRUE),\n", + " `P(us|ap)`=mean(`P(us|ap)`, na.rm=TRUE),\n", + " `P(ap|eu)`=mean(`P(ap|eu)`, na.rm=TRUE),\n", + " `P(us|eu)`=mean(`P(us|eu)`, na.rm=TRUE),\n", + " `P(ap|us)`=mean(`P(ap|us)`, na.rm=TRUE),\n", + " `P(eu|us)`=mean(`P(eu|us)`, na.rm=TRUE)\n", + " ),\n", + " .(\n", + " `BAU?`=`Slot`>=bauSlot\n", + " )\n", + "]\n", + "probabilities" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "3a7cd648-2acf-41eb-970e-00b9df0254ca", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": 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4BsIJoiiaG1NgrIBqIpkhhaa6OAbCCaIomhtTYKyAaiKZIYWmujgGwgmiKJobU2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\nTs1e4v8Beq89T37sBR/5d4fZZ1q2zVzqf7zHnl3D2MVFai1nPBD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+ "text/plain": [ + "plot without title" + ] + }, + "metadata": { + "image/png": { + "height": 420, + "width": 420 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "ggplot(\n", + " melt(probabilities, id.vars=\"BAU?\", variable.name=\"Condition\", value.name=\"Probability\")[`BAU?` == TRUE, .(`Condition`, `Probability [%]`=100*`Probability`)],\n", + " aes(x=`Condition`, y=`Probability [%]`)\n", + ") +\n", + " geom_bar(stat=\"identity\") +\n", + " geom_text(\n", + " aes(label=sprintf(\"%.1f%%\", `Probability [%]`)),\n", + " y=50,\n", + " size=4,\n", + " color=\"white\"\n", + " ) +\n", + " xlab(\"\") +\n", + " ggtitle(\n", + " \"Conditional probabilities of transactions in mempools across regions\",\n", + " \"P(x|y) = probability that a transaction in y’s mempool is also in x’s mempool before in a block\"\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "c8450e0d-4fdb-4e43-8a3c-80d76177503b", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "ggsave(\"conditional-probability-regions.png\", units=\"in\", dpi=150, width=8, height=6)" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "b5c96e3f-fa04-45e3-94cb-a39da7305acf", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "ggsave(\"conditional-probability-regions.svg\", units=\"in\", dpi=150, width=8, height=6)" + ] + }, + { + "cell_type": "markdown", + "id": "c1444fa5-8791-4857-80fa-08d6e5a04905", + "metadata": {}, + "source": [ + "## Probability that a transaction is in the node's mempool, given that it is later received in a block." + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "1685a24f-cba9-44c5-a741-26fbed377dfa", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
A data.table: 6 x 3
RegionBAU?P(mempool|block)
<fct><lgl><dbl>
ap-northeast-1FALSE0.37168991
ap-northeast-1 TRUE0.96712549
eu-central-1 FALSE0.73007728
eu-central-1 TRUE0.92654823
us-east-2 FALSE0.09284988
us-east-2 TRUE0.91295793
\n" + ], + "text/latex": [ + "A data.table: 6 x 3\n", + "\\begin{tabular}{lll}\n", + " Region & BAU? & P(mempool\\textbar{}block)\\\\\n", + " & & \\\\\n", + "\\hline\n", + "\t ap-northeast-1 & FALSE & 0.37168991\\\\\n", + "\t ap-northeast-1 & TRUE & 0.96712549\\\\\n", + "\t eu-central-1 & FALSE & 0.73007728\\\\\n", + "\t eu-central-1 & TRUE & 0.92654823\\\\\n", + "\t us-east-2 & FALSE & 0.09284988\\\\\n", + "\t us-east-2 & TRUE & 0.91295793\\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "A data.table: 6 x 3\n", + "\n", + "| Region <fct> | BAU? <lgl> | P(mempool|block) <dbl> |\n", + "|---|---|---|\n", + "| ap-northeast-1 | FALSE | 0.37168991 |\n", + "| ap-northeast-1 | TRUE | 0.96712549 |\n", + "| eu-central-1 | FALSE | 0.73007728 |\n", + "| eu-central-1 | TRUE | 0.92654823 |\n", + "| us-east-2 | FALSE | 0.09284988 |\n", + "| us-east-2 | TRUE | 0.91295793 |\n", + "\n" + ], + "text/plain": [ + " Region BAU? P(mempool|block)\n", + "1 ap-northeast-1 FALSE 0.37168991 \n", + "2 ap-northeast-1 TRUE 0.96712549 \n", + "3 eu-central-1 FALSE 0.73007728 \n", + "4 eu-central-1 TRUE 0.92654823 \n", + "5 us-east-2 FALSE 0.09284988 \n", + "6 us-east-2 TRUE 0.91295793 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "pmb <- mempoolBlocks[\n", + " !is.na(`Region`),\n", + " .(\n", + " `P(mempool|block)`=mean(mapply(function(x) if (is.na(x)) 0 else 1, `Tx logged`))\n", + " ),\n", + " .(\n", + " `Region`,\n", + " `BAU?`=`Slot`>=bauSlot\n", + " )\n", + "]\n", + "pmb" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "600769ec-cf4e-4e44-a3e5-f28c5f6afb22", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": 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I4Rbrtl96gOWeeO3ifdIzgvjwvJNZfX\nrzg2q+0k+4lf6fTfNKl3wtWLK0xj79dKmG45zmGcd+2UcgzqXEWW/vWCw4+9YlH8MMm3TMLM\nnHJOBdcxEdkP+0edfeiZT++JvF0mgmusylsmjBIbQMqk4yZugfK3HjqHtHGnUj/XvU7itc7d\n7dwezmXH0ZFqSxxg38XPMIWca3e576sqfYhFnbZi78FXIgfkczEi7CmoUh12N0OC46RDI+/P\nGyJeC3smqlSH3c2Q4BglLp6z/ZtRtU7YF/ZMVKkOu5shwVGcW8P+I/7Zq8KeiDLVYXdXz5CI\nFp89NurROfsPvh5RhyEREgAMiZAAYEiEBABDIiQAGBIhAcCQCAkAhkRIADAkQgKAIRESAPoh\nba9SFBbvDnsKRineF/YMjFJUvDPsKbjYGWBIm6sUO2Vh2FMwiiwOewZG2Su3hj0FFxXfc8uQ\nqjkMKVQYUqbAkEKFIWUKDClUGFKmwJBChSFlCgwpVDyGVJxrv8xX8mT/PpP3V54ypCoAQwoV\nTyGVrJuQbYc0te+i/AETK08ZUhWAIYWKp5BmXJdnh7Sn1wdSLum2PXbKkKoCDClUPD60W2OH\ntCq70HqQ1zU/dmpdPjkvL29QcZWiRJaGPQWjyLKwZ2CUMlkS9hRcVD7DUQ/po+72Yu682Kn1\n4842bdp0VhmAkIyktGJJPaQPe9iLuXNjp7Erw/7t6oYP7TKazHhot0fKkq5LYqcMqSrAkELF\nT0i7e34i5YpuW2OnDKkqwJBCxU9I8vGBX68dNqnylCFVARhSqPgKqWTqdX2m7K88ZUhVAIYU\nKnyLUKbAkEKFIWUKDClUGFKmwJBChSFlCgwpVBhSpsCQQoUhZQoMKVQYUqbAkEKFIWUKDClU\nGFKmwJBChSFlCgwpVBhSpsCQQoUhZQoMKVQYUqbAkEKFIWUKDClUGFKmwJBChSFlCgwpVBhS\npsCQQsV0SDmZSbp3kwIMKVQYUiCkezcpwJBChSEFQrp3kwIMKVQYUiCkezcpwJBChSEFQrp3\nkwIMKVQYUiCkezcpwJBChSEFQrp3kwIMKVQYUiCkezcpwJBChSEFQrp3kwIMKVQYUiCkezcp\nwJBChSEFQrp3kwIMKVQYUiCkezcpwJBChSEFQrp3kwIMKVQYUiCkezcpwJBChSEFQrp3kwIM\nKVQYUiCkezcpwJBChSEFQrp3kwIMKVQYUiCkezcpwJBChSEFQrp3kwIMKVQYUiCkezcpwJBC\nhSEFQrp3kwIMKVQYUiCkezcpwJBChSEFQrp3kwIMKVQYUiCkezcpwJBChSEFQrp3kwIMKVQY\nUiCkezcpwJBChSEFQrp3kwIMKVQYUiCkezcpwJBChSEFAphuFfiHgyFlJGC6DCkBhhQIYLoM\nKQGGFAhgugwpAYYUCGC6DCkBhhQIYLoMKQGGFAhgugwpAYYUCGC6DCkBhhQIYLoMKQGGFAhg\nugwpAYYUCGC6aL4MyRRgumi+DMkUYLpovgzJFGC6aL4MyRRgumi+DMkUYLpovgzJFGC6aL4M\nyRRgumi+DMkUYLpovgzJFGC6aL4MyRRgumi+DMkUYLpovgzJFGC6aL4MyRRgumi+DMkUYLpo\nvgzJFGC6aL4MyRRgumi+DMkUYLpovgzJFGC6aL4MyRRgumi+DMkUYLpovgzJFGC6aL4MyRRg\numi+DMkUYLpovgzJFGC6aL4MyRRgumi+hkMqUSDsTZImwHTRfBUO7OIAQ+JvJBRdNF/Dv5EY\nEooumi9DMgWYLpovQzIFmC6aL0MyBZgumi9DMgWYLpovQzIFmC6aL0MyBZgumi9DMgWYLpov\nQzIFmC6aL0MyBZgumi9DMgWYLpovQzIFmC6aL0MyBZgumi9DMgWYLpovQzIFmC6aL0MyBZgu\nmi9DMgWYLpovQzIFmC6aL0MyBZgumi9DMgWYLpovQzIFmC6aL0MyBZgumi9DMgWYLpovQzIF\nmC6aL0MyBZgumi9DMgWYLpovQzIFmC6aL0MyBZgumi9DMgWYLpovQzIFmC6aL0MyBZgumi9D\nMgWYLpovQzIFmC6aL0MyBZgumi9DMgWYLpovQzIFmC6aL0MyBZgumi9DMgWYLpovQzIFmC6a\nL0MyBZgumi9DMgWYLpovQzIFmC6aL0MyBZgumi9DMgWYLpovQzIFmC6aL0MyBZgumi9DMgWY\nLpovQzIFmC6aL0MyBZgumi9DMgWYLpovQzIFmC6aL0MyBZgumi9DMgWYLpovQzIFmC6aL0My\nBZgumi9DMgWYLpovQzIFmC6aL0MyBZgumi9DMgWYLpovQzIFmC6aL0MyBZgumi9DMgWYLpov\nQzIFmC6aL0MyBZgumi9DMgWYLpovQzIFmC6aL0MyBZgumi9DMgWYLpovQzIFmC6aL0MyBZgu\nmi9DMgWYLpovQzIFmC6aL0MyBZgumi9DMgWYLpovQzIFmC6aL0MyBZgumi9DMgWYLpovQzIF\nmC6aL0MyBZgumi9DMgWYLpovQzIFmC6ab5pC+jA7wsPyJfukG0OCO7DQfH2GdHoC7pC25Vt8\nkvuRfHictbCUIcEdWGi+PkMSba5w0TbZL6vnp0o5fBYf2kUB00Xz9RvSy+5mZiYJaf3g/VLm\n3t03Z9x6hgR3YKH5+gxp4FJXM3LZwISOykZ8IOWO7Hs+Xz6y727r/J1t2rTpnOT3VgJhb5I0\nAaaL5qtwYJdWLCX5tfN+vz7vJb/Z/GHWj5KCMikLr1xgLU7Oy8sbVKxA2JskTYDpovkqHNj7\nDxDSzJo9etWalXCxzc2vVywOrnggyId2KLpovj4f2sU462Yp+56VrKNV3e3Hc4uG7JSyqNfH\nDAntwELz9RvS/6InDaZJ+VzDZCE9OcL+uafPmE9XjhlSwpDQDiw0X78hZY3caZ90urCkpNtF\nyUIaPD1ysm701b0nbqu4lCGh6KL5+g3pq+6NHyuWcvnRrVodtTxZSMlhSCi6aL5+Q5LyvXNO\nmS3lxsenbFDviCHB6KL5+g9Jlj3T4qKl8aUwpFSA6aL5aoQkZdH9jfqsl15gSCi6aL6+Qyp+\n4PL7i+WmwVmjdjEkFcB00Xx9h5R37K3Nr7FOV13R5O8MSQEwXTRfvyH9T7wp3xTr7MX5rRmS\nAmC6aL5+Q/pQ/CR/EtG32ZXG58KQkgCmi+brN6Qd9R+Rj9TflqQVhpQcMF00X78hySfq/LKO\nhydHDAlMF83Xd0hy+WPLPHfEkGB00Xx9hjTkU3cgy4cwpIMApovm6zMklY+aMyQXYLpovn5D\nOqebi3MZ0sEA00Xz9RnSwb6OiyElAKaL5uszJL8wJBRdNF+GZAowXTRfhmQKMF00X4ZkCjBd\nNF+GZAowXTRfhmQKMF00X4ZkCjBdNF+fIZ3ngiEpAKaL5suQTAGmi+brMyS/MCQUXTRfrZDK\nvp03Z62Hz8cyJBxdNF+dkN46Q1ic+hZDUgFMF81XI6TFdZrd/crM8cfWyWdICoDpovlqhNSl\nZYF9sqXVZQxJATBdNF+NkJqMjJ6OasqQFADTRfPVCKlxLKQmDEkBMF00X42QLo0+tNt6XBeG\npACYLpqvRkiL6jS7d+bM+5rXXsSQFADTRfPVCEnOPS3y8veb6h0xJBhdNF+dkGTp2rlzvuYf\nZNUA00Xz1QqJ72zwAJgumq9OSHxngxfAdNF8NULiOxs8AaaL5qsREt/Z4AkwXTRfjZD4zgZP\ngOmi+WqExHc2eAJMF81XIyS+s8ETYLpovhoh8Z0NngDTRfPVCInvbPAEmC6ar05IfGeDF8B0\n0Xy1Qtr8zD1jn97AkJQA00Xz1Qnpvgb2Q7v69zIkFcB00Xw1Qpomei/csuGNDmIaQ1IATBfN\nVyOkdoMiJ0VnnMuQFADTRfPVCCnrg+jpmIYMSQEwXTRfjZDOeyl6OrgtQ1IATBfNVyOkF074\n2j7576HTGJICYLpovhohPXFxrS7DbrpANBtlw5AOApgumq9GSMIFQzoIYLpovhoh+YEhoeii\n+TIkU4DpovlqhPR9z+ZHRziRISkApovmqxHSZTXa3zjQ5iaGpACYLpqvRkgNX1APiCGhHVho\nvhohHb+WIXkATBfNVyOkP45jSB4A00Xz1Qhp/zlX/X16BIakAJgumq9GSP+p6+2PsQwJSRfN\nVyOks3/9wqovIzAkBcB00Xw1Qjr8C/WAGBLagYXmqxFS548ZkgfAdNF8NUJactE6hqQOmC6a\nr0ZI3U6udWLrCAxJATBdNF+NkK6ogCEpAKaL5qsRkh8YEooumq9WSLvmPbehqIQhKQGmi+ar\nE9I/GgqxYMExHt7YwJBgdNF8NUKaXaPTDLHgx87idYakAJgumq9GSOefUSzFAll69vkMSQEw\nXTRfjZAajpN2SHJ0I4akAJgumq9GSC1GREO6ozlDUgBMF81XI6RezbbaIW08pgdDUgBMF81X\nI6RvGrYYL0bccXSDrxiSAmC6aL4aIcllHe0PI128VL0jhgSji+arE5KUWxfm7/CQEUPC0UXz\n1QvJMwwJRRfNVyMkP18QuVWBsDdJmgDTRfNVOLC3pwjJzxdE7lcg7E2SJsB00XwVDux9KULi\nF0R6AkwXzVfjoR2/INITYLpovhoh8QsiPQGmi+arERK/INITYLpovhoh8QsiPQGmi+arERK/\nINITYLpovhoh8QsiPQGmi+arERK/INITYLpovhoh8QsiPQGmi+arERK/INITYLpovhoh8Qsi\nPQGmi+arEZIfGBKKLpovQzIFmC6aL0MyBZgumi9DMgWYLpovQzIFmC6aL0MyBZgumi9DMgWY\nLpqvRkg7+rWIfmfDSQxJATBdNF+NkAbU7NJ/gM2NDEkBMF00X42QmjyuHhBDQjuw0Hw1Qmrq\n/T2rDAlGF81XI6SrZjAkD4DpovlqhLTqzLcZkjpgumi+GiF1ayeObN3WhiEpAKaL5qsRUpcK\nGJICYLpovhoh+YEhoeii+TIkU4Dpovn6DUk0lW0rYEgKgOmi+foNqekZfI7kDTBdNF+/IfmE\nIaHoovkyJFOA6aL5MiRTgOmi+TIkU4DpovkyJFOA6aL5MiRTgOmi+TIkU4DpovlqhMSPmnsC\nTBfNVyMkftTcE2C6aL4aIfGj5p4A00Xz1QiJHzX3BJgumq9GSPyouSfAdNF8NULiR809AaaL\n5qsREj9q7gkwXTRfjZD4MQpPgOmi+WqE5AeGhKKL5qsV0q55z20oKmFISoDpovnqhPSPhkIs\nWHDMdIakApgumq9GSLNrdJohFvzYWbzOkBQA00Xz1Qjp/DOKpVggS88+nyEpAKaL5qsRUsNx\n0g5Jjm7EkBQA00Xz1QipxYhoSHc0Z0gKgOmi+WqE1KvZVjukjcf0YEgKgOmi+WqE9E3DFuPF\niDuObvAVQ1IATBfNVyMkuayjsLh4qXpHDAlGF81XJyQpty7M3+EhI4aEo4vmqxUS39ngATBd\nNF+dkPjOBi+A6aL5aoTEdzZ4AkwXzVcjJL6zwRNgumi+GiHxnQ2eANNF89UIie9s8ASYLpqv\nRkh8Z4MnwHTRfDVC4jsbPAGmi+arERLf2eAJMF00X52Q+M4GL4DpovnqhSRlyWuvekmJIaHo\novlqhFQ44CQprxDi+O8YkgJgumi+GiHdKi6SH4kBs468niEpAKaL5qsRUqvLpRx5yHbZ73iG\npACYLpqvRkj17pGy4/lSPliPISkApovmqxHSCVfKgjpjpOzNdzaoAKaL5qsR0p9r33x2zZW7\nJ9b/A0NSAEwXzVcjpJ2/r1HjHvmlOI7vbFABTBfNVyMkKXfslHL7vEL1jhgSjC6ar1ZI3mFI\nKLpovgzJFGC6aL4MyRRgumi+DMkUYLpovgzJFGC6aL4aIeWtip6+dxNDUgBMF83Xb0gFBQXi\n1QKbTXfUr+oh3b54y87lD0WX//HZ7h+fv7b8ij/G5vWTdabf3cNzI5eunBH8FEweWA7dPy7c\ntPfb58LQDcfX4tO5jqvGfrZt95rJEc+Qdu/BQhIOLkpSzEvZFt2kLHmyf5/J+8MN6b6SHXNf\n+7HsSXt5llz92ko5v/yagR9F+LhsRU7OlCIpvxpsXThxS9/Ap5Bj8MBy6A7bu//d/6ySX0SP\nIKO6ofhajC2dW3nV+LItb7y6Xj6XE97uPVhIEyZMEIMmRJi6LUlID4/Lz89fKuXUvovyB0wM\nNaTcLVtuyMm5duUuawOOkm9bl6ySN7vWeH7X0JzbSl4YPPbrpTk5vTf+LegZRAhDd6EcZ13y\nmnzMtYYR3VB8e7+cXyLnVl63ttC+av2+a8LbvQcLyaLTsuQP3yIMnxU52dPrAymXdNseZki3\nyv/YJw/KR3NyFuzvby0Of3a4c4VRJRNycqZuz7H/2bIOs6+CnkCUMHS3fGMvDpbvOlcwoxuK\nb7+VK1c7Qsor+dA+eVMOC2/3KoQUIdVHzXPv7pszbr1clV0oZXHXfOuSH7744ovV2xQIWvFO\n+bJ9cq98MSdnx/LE6/N++MD6Obzk+cF3rVmWM2jPqKAnECUE3dxXI//6jnb+I21KNwxfm4HO\nkEYPtU+W7cwNb/c6qAxF/aPmO7Lv+Xz5yL67P+oeqWqe9ePONm3adD7A77AKglbsvfdH67f+\nNYvlvJy8snceXlW0/jXXo+R/7o9s7sf3Svn14Jz/Lgj6/ssJQTdK3+VyrON6Q7ph+Q50/auR\nk/N/L3xeZP9zEtbudVBasaT+UfOSgjKrtCsXfBj58sjcudaPmePHj59UpEDgjv+Qm2a/9v1G\nOSdnqNy07/2Zy+Q3eZXX9t81K7owYPyI3JxRewYFfv9RQtCNMOa76D/Z5ZjSDcs3PqR1RYVf\n3mYvhLR7naQI6eAfNR/88qrsPVZVXZfELgnjOZL1+HnV7p/eHi2fzblF7rvdOv+cfLLyyudL\nHNs296tnc/q8VrB9fv/AJxGCrsVNi+TmvzqvNKUbkm9CSNYvq7d2Dy1fDGH3KjxHOtBHzRcN\n2SllUa+Pd/f8RMoV3SqGCCekCA/KyTl95RJ78Xr5fsXF12xe4ljp0Y29cz7Y8epLBZ8Ffv8h\n6ObkPFK046lrnRcb0w3H1x3S0EmRfzRGRF7/tglh9yqEdKCPmu/pM+bTlWOGlMjHB369dtik\nistDCWnao/bPt4tvjL3YcGPkRfAoE+VDlWv23fLXnOvL7re3/Z+CnkUYug+V5l/vvtKYbii+\nOe6Qxsqn7JNx8pno+TB2r/zRNLEAABboSURBVEJIB/yo+brRV/eeuM16WDf1uj5TQv6D7Kdl\nI6xtV/SRtfhqyWjr50z5cMWVH+/vXbnmK5/bld2XkzNcDk8YRpMwdL/f1jvuSmO6ofjmuEPq\nu3edZZv7sbwrej6M3asQUrX5qPmo4m2vvbv7p2HW4qBNxe/9Z6VcbC3+bb/9aylv9xeVKw4t\nsp9Bfbz9lec2xd4MEBwh6P5J/vR+hMfN64bhaxMLKeL7L7nh9VnfxF6/DGX3KoRUfT5qPuaL\nPT+8E32Off27PxR9/U97Mz4q38mxf+2/Urnex2/ZP/u+vmXHOwMCn0QIug/GNvvb5nXD8LWJ\nhRT1fXjNrl2rp5RXE8ruPXhIn7Sa4qGgUEOqEoDpovn6D+nHulczJA+A6aL5+g9JPlv/qdL4\nUBhSSsB00Xw1Qup5lmh0WlsbhqQAmC6ar0ZIXSpgSAqA6aL5aoTkB4aEoovm6zek7XsZkjfA\ndNF8/YYkBstfVMCQFADTRfP1G9Ive8ieFTAkBcB00Xz9huQThoSii+brM6Tu70jZZQVD8gCY\nLpqvz5CyeqxeJ55fVw5DUgBMF83XZ0hDnd9r5+ERH0NC0UXz9RmSfPfJJ8TwJ8phSAqA6aL5\n+g3JoudK9YAYEtqBhearEZIfGBKKLpovQzIFmC6aL0MyBZgumi9DMgWYLpovQzIFmC6ar25I\nqb5EnyHFA6aL5qsR0oG+RJ8hJQCmi+arEdKBvkSfISUApovmqxHSwb9EnyE5ANNF89UI6UBf\nos+QEgDTRfPVCOlAX6LPkBIA00Xz1QjpgF+iz5DiAdNF89UIqdp8iX7VAEwXzVcjpOrzJfpV\nAjBdNF+tkKJMG8CQFADTRfPVCenFG/Ischt3ZEgKgOmi+WqENFVk1RfNG4tjFzIkBcB00Xw1\nQjrrzL2bs+bLuU345ScqgOmi+WqE1OB2KTs+KOWgXIakAJgumq9GSFn3S9m/n5TTWjIkBcB0\n0Xw1Qjqn3RY54YQyOfpwhqQAmC6ar0ZIz4iGW1fV7jPuqEsYkgJgumi+GiHJGd0L5COHiOYe\nvrqYIaHoovnqhBSh8LN96h0xJBhdNF+NkE4fPt9LQwwJShfNVyOkVkI06PrYNwxJDTBdNF+N\nkOR3Tw84SYiT/ziHISkApovmqxOSzYYnTub/RqEEmC6ar1ZIW18bfm5t0eBShqQAmC6ar0ZI\nQ8+qKbIuf+iTYvWOGBKMLpqvRkhCnP5siYeIGBKSLpqvRkjDO9QVja98eImXmBgSii6ar0ZI\nUhb9d/xlh4sGv2VICoDpovlqhWSx8hG+aqcGmC6ar05Iqx67qrGo8asR7zIkBcB00Xw1Qmoq\nRONrnt6oXhFDAtJF89UIqeN9+WWeKmJIQLpovhoh+YEhoeii+TIkU4DpovkyJFOA6aL5MiRT\ngOmi+TIkU4DpovlqhPR+bOFFhqQAmC6ar0ZINf+4xz75PpvvbFABTBfNVyOk++qd+L4sm9Kw\nwSSGpACYLpqvRkjyq041b/qN6Pa9ekcMCUYXzVcnJFncUYhhHjJiSDi6aL46IeWfXWPw5SJv\nM0NSAUwXzVcjpFtrnfS+lP9sdPTTDEkBMF00X42Qat1eZJ/8cDlftVMBTBfNVyOkxbGFfzIk\nBcB00Xw1QspbFT197yaGpACYLpqv35AKCgrEqwU2m+6oz5AUANNF8/UbknBwEUNSAEwXzddv\nSBMmTBCDJkSYuo0hKQCmi+brNySLTsvUA2JIaAcWmq9GSH5gSCi6aL4MyRRgumi+DMkUYLpo\nvgzJFGC6aL4MyRRgumi+GiHxnQ2eANNF8/UbEt/Z4BUwXTRfvyHxnQ1eAdNF8/Ubks93NuxS\nIOxNkibAdNF8FQ7swmQhSX/vbNijQNibJE2A6aL5qhzZKUKKMW2Aekh8aIeii+br96GdzYs3\n5FnkNu7IkBQA00Xz1QhpqsiqL5o3FscuZEgKgOmi+WqEdNaZezdnzZdzm6xjSAqA6aL5aoTU\n4HYpOz4o5aBchqQAmC6ar0ZIWfdL2b+flNNaMiQFwHTRfDVCOqfdFjnhhDI5+nCGpACYLpqv\nRkjPiIZbV9XuM+6oSxiSAmC6aL4aIckZ3QvkI4eI5isYkgJgumi+OiFFKPxsn3pHDAlGF81X\nOyRvMCQUXTRfjZC2Dzi+aRSGpACYLpqvRkj9ROvefSMwJAXAdNF8NUJqfFGZekEMCUwXzVcj\npKP/5rkjhgSji+arEdLl3v7XS4YEpYvmqxHSp0dPLWFIyoDpovn6DKmtzTGiwemRBYakAJgu\nmq/PkLq4YEgKgOmi+foMyS8MCUUXzVcjJH5BpCfAdNF8/YbEL4j0Cpgumq/fkPgFkV4B00Xz\n9RsS/+tLr4Dpovn6DUnyv770CJgumq9GSH5gSCi6aL4MyRRgumi+DMkUYLpovgzJFGC6aL4M\nyRRgumi+GiEN/ZgheQBMF81XI6Ta4hd3rWZIqoDpovlqhLT58U41RdtJGxiSEmC6aL4aIVn8\n8HB7UeuSaTsY0sEB00Xz1QvJYskZQtTr9R5DOhhgumi+eiGtn3x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H+kqMkPlixIIIGx4Ty+0Lr4qGNCca0kwxJ/rSA0MyC0OqBsRCKhYD\n5A4x0l78cUHRfPGCvXRWNKSvReQrqsaLtQwpDBhSNSAWUqnIkfLiozdZS5c0LSls3GGflPNi\nLzac0nyrlFuOPbWUIYUBQ6oGVPwdqf45Ui5tcMzI0WeLp6V8UrQdf3OjjodHX/5+s/bxd40+\nLvLyN0MyD0OqBlSE1F7MsJ4pdT/28PMi/0fAy+dmdXrnzmbl6XxyaZMmXSJ/kI2EdOOJYU0X\nEoZUbSkpiHwrZG6HsCdCJEOqxhTWvdH6+VP98WFPhEiGVJ25oUb/Zx49LmtT2PMgkiFVZ/bd\ne/KhLbquDXsaxIYhERIADImQAGBIhAQAQyIkABgSIQHAkAgJAIZESAAwJEICgCEREgAMiZAA\n+H8QI/eAdgVI2QAAAABJRU5ErkJggg==", + "text/plain": [ + "plot without title" + ] + }, + "metadata": { + "image/png": { + "height": 420, + "width": 420 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "ggplot(\n", + " pmb[`BAU?` == TRUE, .(`Region`=substr(`Region`,1,2), `Probability that tx was first seen in mempool [%]`=100*`P(mempool|block)`)],\n", + " aes(x=`Region`, y=`Probability that tx was first seen in mempool [%]`)\n", + ") +\n", + " geom_bar(stat=\"identity\") +\n", + " geom_text(\n", + " aes(label=sprintf(\"%.1f%%\", `Probability that tx was first seen in mempool [%]`)),\n", + " y=50,\n", + " size=4,\n", + " color=\"white\"\n", + " ) +\n", + " ggtitle(\n", + " \"Conditional probabilities for transactions being seen in the mempool before in a block\"\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "2a1056c1-bee3-4b01-8713-b32be4a256a5", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "ggsave(\"conditional-probability-mempool-block.png\", units=\"in\", dpi=150, width=8, height=6)" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "6989db6d-9820-4e7b-b74a-7b865e21490a", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "ggsave(\"conditional-probability-mempool-block.svg\", units=\"in\", dpi=150, width=8, height=6)" + ] + }, + { + "cell_type": "markdown", + "id": "281e540a-f48a-4841-b557-0741a90caeb7", + "metadata": {}, + "source": [ + "## Distribution of a transaction's arrival time prior to the slot where the block was produced." + ] + }, + { + "cell_type": "markdown", + "id": "49a5cf1a-bd2c-4364-a9db-02b790619ed0", + "metadata": {}, + "source": [ + "We see that the distribution of arrival times is consistent with uniformly distribution injection of transactions into the memory pool, rapid diffusion of them, and the block waiting time associated with the Praos active-slot coefficient." + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "0cc5b99a-0860-4164-9666-835c0bf8216a", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": 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dqQITzzK8L87DK2cOFCQghTP03TzJVYAQEBzMvU1FRCyLRp04xbLzSwatWqubu7\nT548efXq1e+9955huAr69ddfCSEhISELFy6cNm1akyZNCCHx8fHmV6WZ0WAq/OmnnwxNxMfH\nE0J27NhR7Hw2UdRKp/+7IZsZ/IJxmjAzV82vUzMduX37NpOR79q1KzExMTExMSwszMvLKzEx\n8enTp/R/kwYzARhPMPPjZmaCFTsCZrpp3JEbN26Y/EeVSmXyrYOm6dmzZxNCXr9+XdKFBw0a\nVK1atcmTJ9eoUcPZ2bldu3b79+8vbFIUvxVbODfMD75hHeXl5bVv316hUFy8eNEQw8yZM+fN\nm8f8bYdZClxSWRK7iIiI6H/Nnj17yJAhEomkW7dueXl5zGIdOnTw8fF5+/Yt81Kj0XTo0MHR\n0TE7O/v169fMN7bc3Fzm3XPnzjFXHJc0sSOEHD161LBkt27dfHx8ig3AyhFQq9U+Pj4hISFK\npZIp2bt3LyHEkNiZaVqn0zVu3NjLy8uwG33z5o2Xl1fTpk2ZL8ERERF8Pt/wHfR///sfIaR/\n//6G1lu2bOnt7W1JH5kM7M2bN8bDFRsbazxczGBqNJratWsHBAQYVl9sbKzJwoxi152hTubC\n6k8//dTwf9977726desyf1seG/ORQFHUhQsXmLfy8vJatWolEomYUTKT2BXaEFNtsSvC/Owy\ndvnyZUJITEwMTdNKpVIkEjVu3JjH4zEHwH7++WdCyPHjx+n/zt5CR2Djxo3MS71eHxgY6Ofn\nV7A5mqb79Onj6OhoWO8qlUqhUIwdO5YublUWNRp5eXlyubxPnz6GJvr3769QKJhKLN+UzK90\nw4Zc7OCbxGnMTAeLrdZ8RzZv3kwIMWx6/fr18/f3N7RrSBrMj7DxKjbfnPkJZmYEiu2mSUeM\nPX78mBAyf/5848KVK1cSQm7evFnShYODgwkhTZo0mTFjxtSpU318fAwbgolit2IL54b5wWfW\nkVqt7tq1q0wmO3PmjHEMjRo1un79Om2XWQocU1nuit2/f78hsVuwYEFcXJxOp+vZs6eDgwMh\nJCMjIzExcezYsa6urszyQqFw8uTJ2dnZFy9ePHXqVHZ29qxZs6RSKfNuq1atSncvlaura3h4\nuOGll5dXXl5esQEUrKddu3YFb++iKGrZsmUFF75w4cKTJ0+mTJkikUiYkp49ezZo0ID523zT\njx8/vnXr1oQJE9zd3Zl33dzcxo0bd+PGDebQDiHEz8+vZs2azN9NmzYlhDAXuE1pkTcAACAA\nSURBVDACAgKUSmUp+kgIcXZ2HjZsWMHyq1evpqSkREVFMauPEDJkyJDvvvuO2VMbs3zdMdne\nmTNnDHeNnThx4t69e4UGZiY2RqdOnUJDQ5m/HRwc5s6dq9ForHm8jiUroqjZZaJZs2YeHh5M\nMElJSRqNZubMmXq9/uzZs4SQU6dOyeXytm3bFhuSXC4fOXIk8zdFUU2bNi20OULIpk2bUlNT\nDes9JydHp9MxC1u+Ko05ODh88MEHhw8fZqaWUqk8cOBAZGSkg4NDiaaZhSvdksEvipkOmq+2\nFNtLSQMwXsyS5iycYCasGT1mvTg6OhoXKhQKQsjr169LunCTJk2ioqKSkpIWLly4dOnSmzdv\n+vv7f/XVV1lZWYW2bslWbL53xQ5+fn7+gAEDDh8+HB0d3aZNG0O1Dx48yM3NZXandpilwDGV\nJbEzORWbmprapUuXSZMmHTt2jBDCbCSzZ882TpKYhyq9fv2auZcqMDDQuMKAgIBShGGyMzU8\naMB8AAXrWb16dWJhBgwYUHDhBw8eEEJMrhc2vDTfNPN/GzdubPx/mZcpKSnMS5lMZtKjgiWl\n6CMhxMvLi8crZIoW7JFQKPzyyy+NE0qG5evO0dFx3rx5V69erV69eocOHWbNmnXhwoVCozIf\nG8NkxIKCggxhl44lK6Ko2WWCoqjOnTsnJiYSQs6cOePh4cEc7mIutz99+nTHjh1FIlGxIfn6\n+vL5fMNLM6Ph5uaWlpa2fPnyMWPGvPfee7Vr187NzTXulyWr0kT//v3z8vIOHz5MCDl48GBu\nbu7QoUNJCaeZhSvdksEvipkOmq+2FNtLSQMwXsyS5iycYIUGULrRY7LMnJwc40ImD3NxcSnp\nwrGxsStXrjR8v1UoFFFRUVlZWdevXy+0dUu2YvO9K3bwt27deuLECVdX1/Xr16vVasNie/bs\n6dWrF/O3HWYpcEwlvSvWx8dnxYoVBw4cOH78eHh4OPMxNn36dOZ0g7F69erFxcUVrMH4I81y\nAkHhA24+gILLm2Qq5mk0GlJgL2yI33zThe7ymI9w5myF5UraR0KI4WuuCaZHRQ2msUKXKWrd\nzZkz58MPP4yPjz9+/PiyZcsWLlzYs2fP33//vdDli4qtULTZ+/6Md+jmazBhsiIsGRBGt27d\ntm/fnpycfObMmXbt2vH5/Hbt2p0+ffqff/65f//+lClTLKnE8AFZrNWrV3/xxRfe3t5hYWHd\nunWbPXv2iBEjmLcsX5UFu6BQKH777bfevXvHx8f7+voyzy0q6TSzZKVbMvhFMdNB89WWYnsp\naQDGLGmuFKuJWDd6np6ehJA3b94YF6anpxNCqlevbs3CjNq1axNCXrx4YT4MRqFbsfneFTv4\nQqHwjz/+uHXr1tixY5csWTJnzhymfM+ePfPnzzcsVtazFDimshyxK4i5gp7ZC/j7+xNCeDxe\nmBHmoUrOzs7Mxm+S4ty6dcuGwZgPoODyN2/ePFuY58+fF1yYqefu3bvGhYYj+eabZt5NTk42\n/r+3b98mhNSpU6dM+1hsVczDCwyWLl26a9cukyUtX3eZmZn37t2rVatWdHT0n3/++c8//4we\nPXrfvn2HDh0qUWwMk6dIMJe1GUZMr9cbv2vJkTwbrghCSJcuXSiKOn78+Llz55h8KCws7PLl\nywcOHCCEdO3ataQVmpGbmztt2rRBgwY9ePAgNjb2q6++6tSpkyGXtXxVmhCLxb169dq/f39W\nVtb+/fuHDh3KfHUp0TSzcKVbM/hmOmi+WlttLxaOsA03z0IDKN3oSSQSPz8/5iIBg7Nnz7q5\nuRlOOFq4cHJycmRkJHOg2uDZs2ek6ETZ/FZsSe+KHfyhQ4e2atVq1KhRISEhixYtYi4TfP36\n9d27dw2XQ9hhlgLHVN7Ejvkqw5wSUigUnTp12rhxo+Gkg16vHzZs2MCBA4VCYYcOHZycnBYu\nXMhc0EMIuXbt2r59+2wYjPkACi4/ceLEtoUp9OMwNDTUw8Pjhx9+YL4+EkKOHz9uyHXMN12r\nVq0GDRrExMRkZGQw76anp8fExDRs2NDX17cs+miS9BQqKCioWrVqK1euNPTo+vXrX3755aNH\nj0yWtHzdXbp0qX79+hs2bGBeOjs7f/DBBybxWBIb48SJE4YHiSmVyvnz5zs5OTEJk4ODw927\nd3U6HfPuwYMHC4ZdsCEbrghCiIeHR2Bg4Nq1azMzM5nPj7CwMK1Wu3Tp0nr16jHfeQpl+QgY\nPHr0SK1W165d23DM+MiRI2lpaUxVlqzKohrt379/RkbGV199lZub+/HHHzOFJdqULFnpxOLB\nLzROMx00X21J9wlFsXBjsUlzhY6AlVN35MiRly9fZpIqQsi9e/dOnTo1cuTIQk/9m1nY39//\n6NGjs2bNMhy+UiqVa9as8fX1Leqxdma2Ygt7V+zgM73g8Xhr165Vq9XMwfL9+/d3797dcJzP\nDrMUOKaSnoolhPB4PKlUajhYsnTp0vbt2wcEBIwYMYLP5x84cODKlSs///wzn893cXH5+uuv\nv/jii5CQkH79+r17927Lli2tWrU6c+aMDeMxE0DBhUv0S2gymWzRokWjRo1q06ZNnz590tLS\ntm3bFhYWdu3aNUuaXr58ec+ePYODg5mnH8XFxb169So2NtbMNVWl6yNzmfOKFSvef/998xfv\nS6XSJUuWMF92+/btq1KpNm7cWKNGDZMfFyGEWL7uWrZsWatWrdmzZ1+/fr1Ro0b37t1LSEio\nVasW8/wny2NjtGjRonv37iNGjHB3d//1119v3bq1atUq5kKfTp06LViwoHfv3n379n3w4MGa\nNWtCQ0MN15wV1RCPx7PhiiCEdO3adfHixXK5nDmtHxQUJJfL792799lnnxW6fElHwKBu3bo1\natRYvXq1Tqfz8/NLSkr69ddfa9SocezYsa1btw4fPtzMqjTfaJcuXZydnTds2NCmTRvmcAXD\n8k3J/Eo3KHbwzcRpZq4WW22J9glFsXxjsaY5MyNg5dQdO3bs1q1be/bs+dlnn/F4vDVr1nh6\nekZFRTHvxsXFzZgx4/PPP2dSIjMLi0SixYsXT5gwITQ09MMPP8zLy/vll19SU1P37dtX1BWl\nZrZiC3tn+eCHhISMGjVq06ZNhw4dSkhIML4xyw6zFLjGbvffssXMA4pbtmxJCPn111+Zl/fv\n3+/Tp0+NGjWcnJzatm1r8oijHTt2ME+qbNas2apVqy5cuBAeHm54SqQxM487MX4WKE3T48aN\nq1OnjuGl+QCstHv37tDQUIVC0aFDhxMnTsyaNcvLy8vCpi9evNi1a9eqVatWrVq1W7duJg8o\nDgwMNLxkTvjGxcUZSiZOnGhhHzMyMjp27CiVSidNmkQXNlwmJUeOHOnQoYOzs7OXl9fgwYPN\nP6C4qHVnXOe9e/cGDBjg5eXFPHZ49OjRqampJY1Np9OFh4cfO3YsJiYmODhYoVC0bdt29+7d\nhiVVKtWUKVO8vLycnZ27dOly7NixDRs2GJ5KZb4hMyui2Nllgjkn1aVLF+MaCCF//PFHoXUW\nOwLDhw83fu6xsRs3boSHhysUCh8fH+YBrefPn2/fvr2h10WtSksaJYRs2LDBpEXLNyUzK93k\n0a9mBt8kzoLMzFUz1ZrviIWPOzEfgMmQmmnO/AQrdgTMdNPM404Y//zzz+DBg729vatXrx4Z\nGfnkyRPDW+vXryeEREdHW7IwTdPbt29ntsrq1av37NmTeZ5IQcVuxZbPDbrowTdZR2/evHF1\ndfXy8pJKpSafLPaZpcAZFF3YFZfAJTqd7t27dzKZzPhq948++ujRo0fnzp1jMTAAAACwrcp7\njV3loVKpqlevbnyK7dWrVwkJCRERESxGBQAAADZXea+xqzxkMtnw4cM3btyo1Wo7duyYkZGx\nbNkygUAwZswYtkMDAAAAW8Kp2EpBo9EsXbr0559/fvLkSZUqVQIDA1esWOHn58d2XAAAAGBL\nSOwAAAAAOALX2AEAAABwBBI7AAAAAI5AYgcAAADAEUjsAAAAADgCiR0AAAAARyCxAwAAAOAI\nJHYAAAAAHIHEDgAAAIAjkNgBAAAAcATHfytWqVTqdDo7NCQSiSiKUqvVdmjLnoRCoU6n0+v1\nbAdiS3w+XyAQ5Ofnc6xfPB6Px+NptVq2A7EliqJEIpFer8/Pz2c7FhsTiUQajYbtKGwMe8IK\nhNkTarVa+3xK2k052RMKhcJ3796VUeV8Pt/d3b2odzme2Gk0Gvt8HkgkEoFAkJmZaYe27In5\n7GF9C7EtBwcHoVCoUqk49vEjFospilKpVGwHYks8Hk8mk6nVao71ixAilUqzsrLYjsLGxGKx\nUCjk3p5QKBTm5+dz7NuFRCJxcHDg3p5QJBKJRKLysMcouw1BKBSaSexwKhYAAACAI5DYAQAA\nAHAEEjsAAAAAjkBiBwAAAMARSOwAAAAAOMKud8UeP378wIEDz58/r1u37vjx4728vAghOp1u\n27Zt586d02q1LVq0GDNmjFAoLEU5AAAAQCVnvyN2x48f37Bhw/vvvz9r1ixCyDfffMM8Eyg2\nNvbPP/8cN25cVFTU1atX16xZwyxf0nIAAACASs5OiR1N07t37x42bFh4eHjTpk0//fTTWrVq\nvXnzRqlUHj16dPTo0SEhIUFBQePHjz99+nRmZmZJy+3TCwAAAIDyzE6nYp89e/b8+fPWrVvT\nNJ2VleXu7v7VV18RQu7evatSqQIDA5nFAgIC9Hp9SkqKVCotUXlQUBBT8uTJk5MnTxrabd++\nvYeHhx06yOPxCCEODg52aMue+Hw+88RRtgOxJaY7IpGIWWucIRAIeDwexyYhRVGEED6fz7F+\nEUIoiuJep7i9JxQIOPVIf9Hdu8TbW+TkxL09YXnYY7A4qnaapm/fvuXz+SdPnvzf//6nVCpd\nXV3Hjh3bunXrjIwMgUAgk8n+LxqBQC6XZ2RkqNXqEpUbGkpJSVm9erXhZYMGDWrVqmWfPhJC\nDIFxCeubRxkRi8VisZjtKGyPY1k4QyAQcOwzlcHJPQbhaL+4NgN1OjJiBHnyRPzggbjo3zCo\nuFhfXyz+Tomdep6VlaXT6e7du7d69Wq5XH7w4MHvv/9+5cqVNE0z38iN6XS6kpYb/m7UqNHi\nxYsNL728vLKzs23alcJJpVI+n2+ftuzJwcFBrVZz7BcSRSKRWCxWKpUc+6k05nsqx34diKIo\nuVyu1WqVSiXbsdiYXC7PyclhOwob4+qeUCKR5Ofnc+k3VYVxcZKbN8ngwSq5PJ9b64v5Hsj6\nT4rx+Xy2mrZTYufk5EQIGT9+vIuLCyGkX79+f/zxx9WrV+vWrZufn69UKpnDQjqdLicnx83N\nTSaTlajc0JCHh0d4eLjhZWZmpn0+55h4OPaZSggRi8X5+fkcS4B4PJ5YLNZqtdxbX4Rzk5A5\nnaHT6TjWL0II8xu4bEdhYxKJhHvfLgghIpGIS78VS6nVsoULiUhE5s/Pz8/n2PpiDgCx3imJ\nRMJW03Y6B+zl5UVRlOHrKbOblslkPj4+YrH45s2bTHlycjKPx/Pz8ytpuX16AQAAUNFJNmzg\nPXuWP2YMqV2b7VjA9ux0xM7d3b1NmzbLly8fPny4TCbbs2cPn89v0aKFVCoNDw/fsmWLm5sb\nRVGbN28OCwtjjuqVtBwAAADMo969k65ZQysUmmnTOHhBLhBC0TRtn5Y0Gs2PP/546dIllUrV\noEGDkSNHVq9enRCi0+liY2PPnz+v1+tDQ0NHjx5teBBxicoLlZmZaZ+D587OzgKB4M2bN3Zo\ny54UCkVeXh7HTsU6ODjIZLLs7GzWj9XbFnPXXm5uLtuB2BKPx3N1dVWr1dy7bMvV1TU9PZ3t\nKGzMyclJKBRyb0/o6OioUqm4cSpW9vXXDjExubNm0dOny+Vy7u0JRSKRSCRi/QJWiUTy4sWL\nMqpcKBSauTHUfokdK5DYWQmJXQWCxK5iQWJXgXAmseM9ferSsiXt6pqRlCR2cUFiV3ZYTOw4\n9fQaAAAAKIps0SJKo8mbMYPm6HOsgCCxAwAAqAwEycniX3/V1amj6t+f7VigDCGxAwAA4D5Z\ndDTR63OjownbD++FMoXEDgAAgONEJ08KT57Mb9lS06UL27FA2UJiBwAAwGk6nWzuXEJRufPm\nsR0KlDkkdgAAAFwm2bKFf+eOesAAbVAQ27FAmUNiBwAAwFnUu3fSpUtpB4fc6dPZjgXsAYkd\nAAAAZ0mXLuWlpys/+0zv5cV2LGAPSOwAAAC4if/33w5btuirV1dOmMB2LGAnSOwAAAC4Sfb1\n1yQ/P3fePDyRuPLAw2wAAAA4SHj6tOjYMW1IyPgTJ+gTJ4zfWrVqFVtRQVnDETsAAADO0enk\ns2cTispZsIDLPwkPBSCxAwAA4Bo84qTSQmIHAADAKVR6umzpUloqzZ05k+1YwN6Q2AEAAHCK\nbMECKj097/PP9dWqsR0L2BsSOwAAAO4QXLsm2b5d5+enwiNOKiUkdgAAAFyh18u/+oro9bmL\nFtEiEdvRAAuQ2AEAAHCEZNs2wZUr6l69NB07sh0LsAPPsQMAAOACKj1dunixms+fRtNvoqLY\nDgfYgSN2AAAAXCCbP5+Xnv5rkyZvZDK2YwHWILEDAACo8ARXr0p27tTVq3eoXj22YwE2IbED\nAACo4P69ZyJn0SIdD5/slRpWPwAAQMUm2bJFcPWquk+f/Hbt2I4FWIbEDgAAoALjvXwp+/Zb\n2tExd948tmMB9uGuWAAAgApMPmMGlZ2ds3gxfmcCCBI7AACAimtL377TTp9OcXObe+2aHo84\nAZyKBQAAqKCo7OxRly7pKGpzSIieotgOB8oFHLEDAACokGQLFkjy8hIaNUp1cWE7FigvOJ7Y\nyWQyPp9vh4YoiiKEuLm52aEte6IoSigUsh1FmZDL5XK5nO0obIyiKIlEwnYUticWi0Wc+9VL\niqI4uccgHN0TlscZePEitXXrP46OCY0alfS/GtYRV/eEYrGY3Ri0Wi1bTXM8scvNzc3Pz7dD\nQ87OzgKB4O3bt3Zoy54UCkVeXh6LE7QsODg4yGSynJwctVrNdiy2JBaLBQJBbm4u24HYEo/H\nc3V1VavV2dnZbMdiY66urunp6WxHYWNOTk5CoZB7e0JHR0eVSmWfTxNLabXOo0cLaDo2JERT\n8uMXb9++lUgkcrmce3tCkUgkEolycnLYDYPF79gcT+wAAAC4R7pqleD2bdXgwbdomu1YoHzB\nzRMAAAAVCT8lxWH5cr27e250NNuxQLmDI3YAAAAVh14vj4qi1OqcVato3DMBBeCIHQAAQIXh\nsH69MClJ07Wr+sMP2Y4FyiMkdgAAABUDPyVFumgR7eqas3w527FAOYVTsQAAABWBXi//7DNK\npcpeuVLv4cF2NFBOIbEDAACoABzWrxdeuHDFy+v7xESSmMh2OFBO4VQsAABAeWc4Cbu5RQu2\nY4FyDYkdAABA+fbvSdicRYvecfHXZcCGkNgBAACUa8xJWNwJC5ZAYgcAAFB+8e/fx52wYDnc\nPAEAAFBeaTSOEyZQKlX2qlW4ExYsgSN2AAAA5ZRsyRLBjRvqyEh1nz5sxwIVAxI7AACA8kh4\n8aLDmjX66tVzFi5kOxaoMJDYAQAAlDtUVpZ8wgRC09lr19LOzmyHAxUGrrEDAAAod+QzZvCf\nPt3XsOHOX34hv/zCdjhQYSCxAwAAKF9E+/eLf/lF26RJfMOGbMcCFQxOxQIAAJQjvJcvHT//\nnBaLc9au1fLwMQ0lgyN2AAAA5YZe7zhpEpWRkbtwobZBA7ajgYoHXwUAAADKC+nKlcI//9R0\n7KgcPZrtWKBCQmIHAABQLggvXJAuWaKvUiVn9WpCUWyHAxUSEjsAAAD2Ue/eOU6cSPT67JgY\n/MgElBoSOwAAALbRtGNUFO/p07zPP88PC2M7GqjAkNgBAACwzGHDBtGhQ/ktW+ZNncp2LFCx\nIbEDAABgk+D6ddk339AuLtkxMYTPZzscqNiQ2AEAALCGys11HDeO5Odnr1qlr1GD7XCgwkNi\nBwAAwBKaln/yCT8lRTl+vKZbN7ajAS7AA4oBAADY4bBunXj/fm1wcO7s2YSQqKgotiOCCg9H\n7AAAAFgg/Osv2bff6t3ds378kYhEbIcDHMHCEbvbt2/PnDkzLi7O0dGREKLT6bZt23bu3Dmt\nVtuiRYsxY8YIhcJSlAMAAFQUvLQ0xxEjiE6XvW6dvnp1tsMB7rB3YpeXl7dixQqapg0lsbGx\n586dmzhxIp/Pj4mJWbNmzZQpU0pRDgAAUDHk5zuOGsV79WpnQMC+338nv//OdkDAHfY+Fbtu\n3TonJyfDS6VSefTo0dGjR4eEhAQFBY0fP/706dOZmZklLbdzLwAAAEpNNneu8MKFK15e+xs2\nZDsW4Bq7HrFLTEx88ODBJ598MnPmTKYkNTVVpVIFBgYyLwMCAvR6fUpKilQqLVF5UFAQU5Ke\nnv7gwQNDi97e3lKp1A5doyiKEMK9k8I8Hk8gEFDc+slCPp/P/Mux9cXn83k8Hsc6xePxmH85\n1i9CCEVRnOwU4e6e0Fa1CX/7zWHTJr2f37qgILr4xcuEUChk9oQCgUCv17MURZkQCATlYY/B\n7LtYYb/E7tWrV5s2bYqOjjbOEjIyMgQCgUwm+79oBAK5XJ6RkaFWq0tUbqjw+vXr06ZNM7xc\nt25dixYtyrxv/zI+GMkZcrmc7RDKhH0yfvsTi8Vsh2B7QqGQkxsXJztFONovmyUKt2+TqCgi\nlfISEvIWLbJNnSVnWEcODg4ODg5shVF2RGzfjJKfn89W03ZK7PR6/fLly3v16lWnTh3jI2o0\nTRc8GqTT6Upabvi7Zs2aw4YNM7x0c3NTKpW26YNZYrGYx+PZpy17EolEWq2We9/nhEKhRqMx\nnjkcwByxY3FvUhYoipJIJDqdTqPRsB2LjUkkEpVKxXYUNoY9oXlURob4gw+onBzNli06f3+b\nxFY6SqWSq3tCHo/H5/NZ3xOyeKbLTond3r17s7KyWrZs+fz587S0NELIixcvPDw8XF1d8/Pz\nlUol841Bp9Pl5OS4ubnJZLISlRsa8vPzmzx5suFlZmZmbm6uHTooFAp5PJ592rInPp+vVCq1\nWi3bgdiSg4ODUChUq9VqtZrtWGxJLBYLBAKOTUIejyeRSLRaLcf6RQgRi8Xc6xRzFox7/eLx\neCqVytpcQat1GjSIevhQOXlybkQEYXWUcnNzJRIJJ/eEIpFIJBKxPgklEon5BRYuXGh+AcNF\nayVlp8Tu5cuXz58//+STTwwl06ZN69Sp05gxY8Ri8c2bN5kTpsnJyTwez8/PTywWl6jcPr0A\nAAAoHfmcOcLTp29Uq7bk9Ws9HkRc6Rnf95mTk5OcnGy4cox5Wd4TuwkTJkyYMIH5+8GDB59/\n/vn27duZ59iFh4dv2bLFzc2NoqjNmzeHhYW5uLiUohwAAKB8kuzaJdm8+aVCsap1az23bkeD\n0vnuu+8Mf9+5c2fixImGEuZlqWtm/yfFRo8eHRsb++233+r1+tDQ0NGjR5euHAAAoBwS/vWX\n7IsvaEfH5W3b5rF9UT/D5LfLVq1axVYkYHMsJHb+/v579+41vOTz+WPGjBkzZozJYiUtBwAA\nKG94z545Dh1K6XRZGzc+N/rsAygj+K1YAACAMkHl5iqGDuW9eZM7d64mPJztcKCcevPmDSEk\nLy+PeZmTk2PN41qQ2AEAAJQBnc5x7FjBzZuqgQOV/15lDmAiPT09ISGBx+Pt27ePEKLVag8c\nOODt7V3qCtm/xg4AAIB7ZLNni44cyW/VKnfZMrZjgXJn4sSJT548YR7L4uLisnDhwvnz58fF\nxWm1Wo1GM2fOnFLXjMQOAADAxhw2bHDYvFlXp07WTz/R5eOGCShXdDrdpEmTHB0d5XJ5/fr1\nJRJJbGxsUlJSVlZWcHBwvXr1Sl0zEjsAAABbEh09Kps7V+/qmrV9O+3szHY4UB5t2LCBEPL8\n+fPHjx+fOnWqZs2a9evX79mzp/U1I7EDAACwGcGNG46jR9MCwfzmze+vWMF2OFBOqVSqRYsW\nnT59Wi6X5+Tk8Pn8Jk2aLFiwQCaTWVkzbp4AAACwDd7Ll4qPP6aUypyVK++7u7MdDpRfMTEx\nT58+/fHHH/ft28fn8xMSEsi/h/GshMQOAADABqiMDKf+/XkvXuTOnq3u25ftcKBcO3/+/OTJ\nkw2/iSqXy4cNG5aUlGR9zUjsAAAArEUplYqPPuLfvasaPlyJn4KF4iiVSj6fb1wikUhycnKs\nrxnX2AEAAFhHp3vYunXIs2eXvbxWqFR6JHZQnICAgB07dtSsWdPJyYkQotfrd+/eHRAQYH3N\nOGIHAABgBZqWf/55yLNndzw8VrVpo6cotgOCCmDSpEnPnz9funQpIUSn0w0cOPDhw4dTpkyx\nvmYcsQMAACg92YIFkh07njo7L2/XLv+/J9cAilKtWrWtW7c+ffqUEDJy5Eh3d/f27dtbf0ss\nQWIHAABQapLYWIdVq3Q+PouCgnLxIGKwQHp6OiHE1dVVr9c/fPjwxIkTAoFALpdLJBKb1I9T\nsQAAAKUhjo+Xz5ihd3fPio9/5+DAdjhQAVy6dGnw4MG3bt168eLF0KFDV6xYcePGjatXr373\n3XcjRox48+aN9U3giB0AAECJifbvd4yKomWyrF27dP8+tALAvM2bN0dGRrZp02b69Ol16tSZ\nOXMmc6AuLy9vwYIFK1as+Pbbb61sAkfsAAAASkaYmOg4bhwtFGbFxWltcScjVBKpqal9+vTh\n8/l37twZMmSI4fSrVCodMmTIjRs3rG8CiR0AAEAJCJOSFMOGUYRkb9mS37o12+FARSKXy/Py\n8gghvr6+GRkZxm+9ffvW09PT+iaQ2AEAAFhKcPmyYsAASq3OjonRdOrEdjhQwYSEhCxbtuzR\no0dRUVHr168/fvz4y5cvX7x4cfjw4R9++GH48OHWN4Fr7AAAACwiSE52Xb0SvgAAIABJREFU\nGjSIysvLjokZd+wYOXaM7Yiggpk0adKGDRsmTJig1WoJIQsWLDC8RVHUt99+e/DgQSubQGIH\nAABQPP6dO4oPP6Tevcv54Qf1hx+SxES2I4KKRyaTff7555999llWVlZmZqZer7d5E0jsAAAA\nisFPTnbs04eXnp6zcKFq8GC2w4GKjcfjOTs7Ozs7F3wrJycnNze3atWqpa4ciR0AAIA51N27\n2o4dKZXqp+bN/7hxg+CnYMFq4eHhhZYPGDBgx44dJ0+eLHXNSOwAAACKJEhOFn74oZNK9VPz\n5ofr1mU7HOCIH374odByPp9v5b2xSOwAAAAKJ7h9W/Hhh1RGxjZkdWBTjRs3pmn6+vXrqamp\nFEXVrFmzadOmFEURQho0aGBNzUjsAAAACsFkdbyMDO3y5YeTktgOBzglIyNj+vTpKSkpzOV0\nr169qlOnzuLFi52cnKysGc+xAwAAMCW4etXpww95GRk5332nmzCB7XCAa9asWSMUCnfu3Ln9\nX0yh9TUjsQMAAPgP4blzTn37Uu/e5Sxbphoxgu1wgIOuXbs2fvz4KlWqMC+rVq06bty4K1eu\nWF8zTsUCAAD8f6Ljxx2HD6fy87NXrlQPHMh2OMBZzBV1NsfxxE4ikRh+YbdM8fl8Qoijo6Md\n2rIngUAglUppmmY7EFtiVpZEIhGJRGzHYku8f7EdiC0xOz6hUMi9jYuiKO51igN7Qt6+fcJh\nwwgh+du3i3r3ZvYRAgHHPysr9CozwewGy3+PmjVrFhMTEx0d7e7uTghJS0vbtGlTUFCQ9TVz\nfLJqNBqdTmeHhgQCAZ/PVyqVdmjLnng8nlqtts8Y2o1YLBYIBBqNJj8/n+1YbEkoFAoEAo5N\nQh6PJxKJdDodx/pFCBEKhdzrFJ/P5/F4Fbdfol9+EU+aRItEuXFx2vfeI/92RCqVshtYWau4\nq6wgoVBYHjYuoVBofoFJkyZNnz594MCBnp6eNE2/evXK399/0qRJ1jfN8cROr9czP8dW1phj\nWvZpy55omtbpdBzrF7O92W1u2A2fz+dep5gDkNzrF4N7narQe0KHDRukc+bQTk6ZO3dO/Okn\nEh/PdkT2U0FXWaF4PB6fz2e9R8Ue5XVxcVm/fv3Vq1efPHnC4/GMH3dibdPWVwEAAFBxfRoV\nNfDatZ537mRKJItbtUr96Se2I4JKgaKooKAgm5x+NYbEDgAAKjGtdkxSUoeUlNdy+eIOHV6W\n+2uzgBuK+kmxY8eOWVkzEjsAAKikqLw8x5EjO6SkPHR1XRoWlmmXm+0AyH9/Uiw/P//x48en\nT58eM2aM9TUjsQMAgMqISk93GjJE8Ndft6pWXdGunbK4q90BbKhx48bGL5s1a9ayZcsNGzZE\nR0dbWTMSOwAAqHT4Dx8qBgzgP36sjoz8jsfTces5QVAReXh43L9/3/p6kNgBAEDlsm7gwM/P\nnOGr1fsbNNgpEHDqQZ1QQWRlZRm/VKvV+/fvx12xAAAAJSNOSJiRmMjX67c1b364bl22w4FK\nqn///mq12rhEJBLNnDnT+pqR2AEAQOVA09KlS6Xff6/i839o1+6qlxfbAUHltWXLFpNfdXJz\ncxOLxdbXjMQOAAC4j9Jo5J99Jo6P11erNj8g4LGLC9sRQaVWrVq1MqoZl4sCAADH8V6/VvTu\nLY6P1wYFvTt2DFkdsG7q1Kl//PGHccnBgwenTp1qfc1I7AAAgMsE1645h4cL//pLHRGRmZCg\n9/BgOyIAkpOTo9FojEvUanVOTo71NeNULAAAcJb499/ln35KqVTKqKjcWbMIHmsC5cP69etN\nSvr06dOnTx/ra0ZiBwAAXKTTyRYudFi1SiUQxLRp89fr1+Szz9iOCaDMIbEDAACuobKzHSdM\nEB0+rPP1nduw4VMnJ7YjArATHJQGAABOEdy65dyxo+jw4fwOHd4dOYKsDioVHLEDAADu+C0i\nYvilSzydbn/9+rs8PfVz57IdEYBdIbEDAAAuoNRq6bx5Yy9eVAmFq1q2vOjjw3ZEAObcuHFD\nqVQGBARIJBKapm3ye2IEiR0AAHAA79kzxciRgqtXnysUP7Rt+xynX6F827p167Zt2wQCQb16\n9VauXBkfH5+YmDh79uwaNWpYWTOusQMAgIpNdOCAS4cOgqtX1QMHzu7WDVkdlH/79u2bNWvW\nr7/+mpeXd+nSpfbt20skktWrV1tfMxI7AACoqCi1Wv7VV4rhw4lKlbN8efbq1Wo+n+2gAIqn\n1WobNmyoUCjatGmTkpJSvXr1oUOHJicnW18zTsUCAECFxP/776wePdwyMl4qFKtat0796y/y\n119sBwVgkWbNml27dq169eo+Pj6XL18mhPB4PL1eb33NSOwAAKDiEf/vf/Ivv3TJy/vT13dL\nSIhKgI8zqEjGjh07ZcoUQohWq01KSjp27Nj+/fvr1q1rfc3YEgAAoCKhMjPlU6eKExJoR8e1\nrVufrVmT7YgASiwmJiYjI2Pjxo3MyzVr1lSrVm3q1KnW14zEDgAAyqmoqCiTkkavXo27cEGc\nl5fi6rqmTZtXcjkrgQFYSafTrV+/3s/Pz+Y1I7EDAIAKQKjTDbh+vfv9+zQhexo2/LVJEy0P\n9/9BBXP//n3mj+HDh2u1WsNLA+vPxiKxAwCA8s47M3PiuXM13717LZPFtGx518OD7YgASmPc\nuHFFvSUUCqVSaUJCgpVNILEDAIDyi0fTPe/c6XvzpkCvP1m79s/NmqmEQraDAiilY8eOMX9c\nunRpxYoVEydObNq0KZ/Pv3Pnzk8//TR+/Hjrm0BiBwAA5VSNzMxxFy/Wfvs2SyLZ1KLFZS8v\ntiMCsAr/3+csbty4MSoqqnXr1szLFi1a+Pj4fPPNN2vXrrWyCfsldu/evduyZcu1a9c0Gk29\nevWGDx/u6+tLCNHpdNu2bTt37pxWq23RosWYMWOEQmEpygEAgDvy86Vr1nz7xx9Cvf6ij8+W\n5s2zJBK2YwKwmX/++cfZ2dm4xMXF5dmzZ9bXbL/EbtmyZVlZWVOnThWLxb///vusWbPWrFnj\n4uISGxt77ty5iRMn8vn8mJiYNWvWME92KWk5AABUaIZ7YL3fvRt38aJ7enqWRLIuOPiitze7\ngQHYXN26dbdv3/7111+LxWJCiF6vj4uLs8lNsna6pejt27fXr18fP358kyZN6tatyzypJSkp\nSalUHj16dPTo0SEhIUFBQePHjz99+nRmZmZJy+3TCwAAKFNCnS7y5s2Fhw/7paef9fWd+v77\nyOqAk6Kiom7evDl48OCvv/563rx5H3/88d69ez/99FPra7bTETu9Xj9o0CB/f3/mpVar1Wg0\ner0+NTVVpVIFBgYy5QEBAXq9PiUlRSqVlqg8KCjIPh0BAIAy0vDVq1F//VUtO/udg8OPISG4\nog44rFatWjt37vzjjz9SU1Mpiurbt2/Xrl1lMpn1NdspsatSpcqgQYOYv9Vq9Q8//ODg4NC2\nbdtbt24JBAJDTwQCgVwuz8jIUKvVJSo3NHTy5Mlp06YZXq5bt65Fixb26CEhhBB3d3e7tWU3\nIpGI7RDKhKOjo6OjI9tR2J6DgwPbIdieWCxmzlZwDCf3GMTifg0ePNjwt0yjGXT9+qwHDwgh\nf/r6/hwUlMPFNV5ucW8qSti+IjM/P7/YZWQyWd++fW3etF3viqVp+uTJk3Fxcc7OzgsXLnR0\ndKRpmqIok8V0Ol1Jyw1/u7q6GmdyUqnUksG1nkAgoCjKPm3ZE5/P1+v1NE2zHYgt8Xg8Pp+v\n0+ls8nPL5QePx6Moynhz4ACKogQCgV6v51i/CCECgUCr1bIdhY2Z3xMOGzas0PLQJ09GXLqk\nUKufOjv/GBJyn3NJRvnHpQ8viqJ4PB7rewwWP1/sl9hlZmYuWbIkLS1t2LBh7du3Z/IzV1fX\n/Px8pVLJHGbQ6XQ5OTlubm4ymaxE5YZWAgIC1q1bZ9yofa7Ac3Z2FggE3LvaT6FQ5OXlcezj\nx8HBQSaT5eXlqdVqtmOxJbFYLBAIcnNz2Q7Elng8HrOXyM7OZjsWG3N1deXeHsPJyUkoFFre\nL59374Zfvlw/LU3D5/8vIGB//fo6/JgEG7g0FUUikUgkysnJYTcMFg8Z2imxo2l63rx5Hh4e\nc+fONT615+PjIxaLb968yRxmS05O5vF4fn5+zJkXy8vt0wsAALAJqUbT7+bNzn//zafpa9Wq\nbQsOxq++AtiEnRK7GzdupKSk9OrV686dO4ZCLy8vd3f38PDwLVu2uLm5URS1efPmsLAwFxcX\nQkhJywEAoPyjCGn76NHga9ecVKp0qfR/TZv+WasW20EBcIedErtHjx7RNL1s2TLjwnHjxvXo\n0WP06NGxsbHffvutXq8PDQ0dPXo0825JywEAoJzze/t22JUrdd68yefzf23ceF/Dhpp/H8QP\nADZBcey6eBOZmZn2uSaUucbuzZs3dmjLnjh8jV12djausSv/mGvs1Go1J6+xS09PZzsKG2Ou\nsSt0T8h78SK5V682jx9ThFz28vo5KCgN517LjVWrVrEdgs2Un2vsXrx4UUaVC4XCWkUf58Zv\nxQIAgO0ZfkZCrNN1uXevT3Jy2/z8FwrF9mbNrlavzm5sAByGxA4AAMoERdPtHj0acOOGi1KZ\nJZFsDww8Wbu2vsAjqwDAhpDYAQCA7TV7/nzgjRve797l83j7GjRIaNRIKRSyHRQA9yGxAwAA\nWxL89Zds/vxpFy7QFHXW1/eXJk1e43I6AHtBYgcAALZB3blDoqOdf/+dEHKjWrWdAQGpeBwV\ngH0hsQMAAGstGjHiw1u3WqemEppOcXXdFRh4u2pVtoMCqIyQ2AEAQIkZbnqtkpPT9/btJY8e\n8Wn6uZPT7iZNkry9ufwYLYDyDYkdAACUhntubu/k5LD/x969x0VV5n8Af85t7hcYQEHkKoia\nilKgZamp69b6K1u3q7prGd4ysTS7WP3yVllqmVlWmlqp1ZabpWmtmqallbrgXRQUVETuDHO/\nnHN+f8zKjzR1gJk5cPi8X/tyZ54ZzvM5MRy+nHOe5zl9mhGEUr3+X92770lIEDHoFUBSKOwA\nAOA66s/P+bS3WMYfO3ZbUREjCBU63fobbvg5KYlHSQfQAqCwAwAAf3U0m4cfO3ZzcTEtimU6\n3dfduu1OSuJpWupcAPBfKOwAAOD6kquq7j5+PPP8eUoUSwyGr2+4YW9CAs7SAbQ0KOwAAOB3\nGl54pQhJLy194fjxbmVlhJDi8PAN3br9FheHe+kAWiYUdgAAbdpl98/VYwThlrNnhx0/Hl9b\nSwg51q7dpq5d87DMK0DLhsIOAAB+R+d2315QMPTUqQi7XaSo3+LiNnbtWhgRIXUuALg+FHYA\nAPBfsXV1f87Pv+3MGSXPuxlme0rKt126XNTrpc4FAP5CYQcA0LZcee2VEsX0ixfvyM/vUVpK\nEVKtVm/o3Hl7p05WpVKShADQZCjsAADaLp3bPfD06cGnTrW3WgkhhRERW9LSfo2LwwwmAK0U\nCjsAgLYoubr6T6dO3VxcrOB5D03/lJj479TUgshIqXMBQLOgsAMAaEMoi2VIQcHtBQVJNTWE\nkAqtdntKys5Onepw1RVAFlDYAQDIWf0ddamVlYMKC/uePTvW6xUpKi8mZltqal6HDgJmpAOQ\nERR2AACt1dWmoGvI6HT2KyoaePp0R7OZEFKt0XzbpcvOTp0qNZrgBwSAUENhBwAgQ6wg9C4p\nGXDmTPqFC4wo8hR1oGPHH5KTD+IUHYCsobADAJCVlMrKW4uLbyku1rlchJBzYWE/JiX9nJho\nVqmkjgYAQYfCDgBADmIsln5FRf2Ki9tbLIQQq1L5fefOu5KSzphMUkcDgNBBYQcA0IpF2O19\nzp69ubi4U3U1IcTDML/Gx/+UkHCwQwcv5qIDaHtQ2AEAtBr1oyXCHY4+587NOns2taKCIkSk\nqCPt2/+cmLgvLs7OcdKGBAAJobADAGg1THZ75vnzWefOdamooERRJORUZOQv8fG/xsfXqNVS\npwMA6aGwAwBo6ZiiIsXGjcpvv337wAHfiNbCiAhfPYdZSwCgIZkXdhzHsWwo9pGmaUKIWnZ/\nMTMMo1QqOXld2fHtjkKhoOV1BxLLsjRNy+xDSFEUIYRhGJntFyGEoqjr7JQovvq3v91YUnJj\nSUl8bS0hRKSoU1FRv8XF7evYsUKrDVFQaAPk9PPFMAzLspLvkYS/X2Re2BFCRFGUZV+hIV4i\ndZDAk99++XZHZjtVT5b79cc75XQyP/7Ibt7Mbtkyr7SUEMLT9JHo6N/i4vZ37FiLKUsgCGT2\n8yW/w3ujyLyw83g8Ho8nBB2pVCqapp1OZwj6CiWFQuF2u71er9RBAomiKIVC4fF4XC6X1FkC\nSalUiqIosw8hTdNarZbneZntFyFEo9E03Cn6/PkN48f3unDhhrIypddLCLFz3MH4+AMdO+bF\nxNgVCumSgvzJ6edLoVAoFArJ90gl3d9gMi/sAABaiCuX/2IEoXNlZa/S0l4XLsTV1o4lhBBS\nrtPlduhwIDb2eLt2vLzuFgCAEEBhBwAQUtEWS8+LF3uWlnYrK1N5vYQQL00fbd8+r0OH3A4d\nLhgMUgcEgFYMhR0AQNDRlZU3FxffUFbWo6wsymr1NVbodD9FRx+OiTncvr1TXkOUAEAqKOwA\nAIKCqqvjfvmF272b27WLPX58iigSQpws+5/Y2EMxMYeioy/q9VJnBAC5QWEHANBc9ffPadzu\nLhUV3crLhyqV7JEjhOcJIUSh8PTt+7XVeqR9+8LISJ6ipMwKALKGwg4AoNEajoQIczj6VFSk\nVVR0qaiIr62lRZEQwlNUgcl0vF27Y+3bn4iKcoVkQk0AABxrAACu47IBrZQoxtXVpVZWdq6s\nTKuoaG+x+Np5mi6MiDjert3xdu3yo6KcKOYAIORw3AEAuD6t292pqiq1qiq1sjKlslJzaYJM\nJ8seio4+GRV1ol27wogIF8NImxMA2jgUdgAAf8TjYY8cYQ8c4HJzF333XXRdXf2dcRVabW6H\nDgWRkScjI8+Gh+OeOQBoOVDYAUCbVn+ZlRHFWLM5ubo6ubo6qbo6vqaGEwTfSyaWzY+KKoiI\nOBUZeSoyslbqZSgBAK4GhR0AtFGU280cOzaosDCxujqxpiautlbpG8RKCE9RJUbjaZOpICKi\nMDLyvNGI03IA0CqgsAMAOWs47sHgcsXX1CTU1sbX1ibU1MTW1TGCkE0IIUSgqFKD4bTJdMZk\nOm0yFYeH4245AGiNUNgBgDxRLheTn3/bmTNxZnN8bW18bW2Yw1H/qpemzxqNRSZTUXh4UXj4\n2bAwzEgCADKAAxkAyAHldjMnT37y/PNxZnOHuro4s7m9xUKL4qRLb6hVqQ5FRxeHh58NCzsb\nFnbBYOBpWsrEAABBgMIOAFofymxmCgo+f+mlDhZLh7q6WLO5ndVKi+KUS29wctxpk+lsWNj5\nsLBzRuO5sLA6pVLKxAAAIYHCDgBaNrebOnFCcfAgc/r0b2vWRFssHerqjE4nIWTCpbc4Oe6M\nyXTeaCwxGHz/Vup0ooSZAQAkgsIOACRw2VoOPgqeb2e1trda21ss0Zf+FWw2hSgqCCGE3E4I\nIaRaoznSvn2pwVBiNF7Q6y8YDNUaTSjDAwC0WCjsAKC5/rBKuwaKEJPDEWW1trPZoqxWXzHX\nzmoNbzC4wceiVJ6OiCjV6S4aDKV6/UW9vlSvxygHAICrwfERAK7jyrptyZIl/nwhLYrhDkek\nzRZls0XabJF2e6TNFmW1Rtps9XP/1qtRq/Ojosp0ujK9/uKlf+0KRWD2AQCgbUBhBwC/09jT\nb4QQo9NpcjhMdnuEzRbhcJhstki7PcJmC3c4GPHyW90cHHfBYKjU6cq12gqdrlyrLdfpynU6\nN+aNAwBoNhR2AHB9Cp4PczjCHQ6TwxHmcPx2221GhyPCbjc5HOF2+7IrTr8RQmpVqqLw8Gqt\ntkKjqdRqK7TaSq22Squ14iQcAEDQoLADaFuudkJO53KFOZ1Gp7Ofw2F0ucLtdqPTGe5whDmd\n4Q6Hxu3+w6+qUyovGI1VGk21RlOtVldpNFVabZVaXa3VejBLHABAyKGwA2it/L9mygmC3uUy\nOJ1Gp/M2l0vvdBqdTqPTaXC5jA6H7wH7R2fdCCEulq3WaM6GhVWr1bVqdZVGU6tSVWs0NWp1\njVrtwfVTAICWBIUdQKtxZSXHiKLO5dK53TqXS+9y+f7Vu1wGt1t/6bHR6VR5PFfbJk/TdUrl\neaOxVq2uU6lqVCqzSmVWq2tUqjqVqkqjwRBUAIBWBIdsgFBo1IgEpderdbvnTZ9Omc1UbS1d\nW0vV1lI1NY/s3691u3Vut9blMrjdOpdLffWKjRAiEmJRKqvUaktYmEWpNKvVdUplnVJZp1KZ\nVSrfAwvWYwAAkBEUdgCB17CMYwRB7fG083i0Ho/a41G73RqPR+PxqD0ejcejcbu1Ho/W7Va7\n3dpLTxnfVdGvv75ss3+69ICnKJtSWa1W28LCrAqFVam0KBQWpbJOqbQqlfVPLUqlSFGh2WUA\nAGgJUNgBXIevSlN5PCqeV3i9Wrdb6fUqeV7l8Wg8HpXXq/R61V6vxu1Web0qj0ft9b7s8Wjc\nbrXXq/J4FDzvTy8iRdk4zq5QVGm1No6zKRQ2hcKuUPgeWH3/KpVWjrMplXaOC/JOA0Ab0uS5\nKqEFQmEH8vGHxybK6SROJ2W1Ul4vZTa/+dprSq9X6fWygqB1uzlBUHi9Gq+X5Xm116v0eDJ7\n9KAsFspuJw4HZbFQNttKs/ka96j9IS9NO1nWrlBUq9VOjnNwnJ1lHRznUCisHOdQKBwcZ6//\nn0Jh4zgnajUAAGg2FHYggSsrsLdffZV4PJTLRTmdxOulrFZCCFVbSwihLBZKECibjXg8lN1O\n3G7K6aRcLuJwUC4X5XAQl4uy2ymPZ86RI4woajweWhQ1bjcjCKpPP72so9nXDVdc7Pt/F8u6\nGMbJcQ6t1sOyTpZ1cJyTYVws61AonCzrYlknw9gUCpevneNsHOfgOCfHYaYPAACQROsr7Hie\n/+ijj/bs2eP1erOyssaNG8fhVEdAiCJlNvseUlYrxfOEEIqmFzz3HCGE43nfJcX6Bwqe53ie\nEKLieYbnCSFqr5cRRUoUNR5Pw3eq3e6uaWnE7absdkIIZbEsLi9neV7J84QQrW+CtCsqsCZI\nIcTFMF6GcbKsTaGwcZxA0w6O89C0m2VdLOulaRvH8TTtYFk3y3po2qZQeGnaxbJOjvMwjINl\nnSzrYRgHPlQAANAKUeIVC/60cMuXL9+zZ89jjz3GMMyyZcu6dev25JNPXu3NZrPZ08iLaE0T\nFhbGWq1VlZW+p5TbTf1+OXPKYiEN7rXynWf6/6e+M1X17HaqwXywlNlMLn2b/nuyysfjoWy2\n/z4WBKqurv4xbbEQQvLz82lRrB84WV9pEUI0Hg8lioSQ+gIrNDwM42YYkRDfGqC+OoynaSfL\n1jc6WFagad9LXpp2MoxA0w6WFSjK4avVWNb3r+8LfZWZb8sh2xEAgDaltdx1p1AoFAqF1WqV\nNoZKpbpw4UKQNs5xXFJS0tVebWWFncPhGDNmzNSpU/v160cIOXDgwLx581avXm00Gv/w/SEt\n7GJjSXl5CPpqmoZ1j53jfIMlfSWRr9HGcYSiCCG+M1uEEDdNe1iWEOKlKBfH+R44WZYQ4quo\nCCFehnExDCHEzTC+uWodHCdQlK8II4T4TowRQmxYSAoAQEZaZqmHwq6VXYotLi52Op29evXy\nPU1PTxcEobCwMCMjw9eyf//+t956q/79M2bM6NatW1Aj/eMf//A9yFGpdNHRAiGO31cwDYsn\nQkj9eal6do5rOOW/Q6Gof1pfHvk4OY6/NHtFfUVFCPGdvrryS3iKwi35AAAQDJfdLf3xxx9L\nlaQhiqIoigoLC5M2hnCVtXxCoJUVdjU1NSzLarVa31OWZXU6XU1NTf0bLBbL8ePH6586nU42\nyPPmr1u3LqjbBwAAgEahpR7BFpqrhX+olRV2oihSV0y4yje4Rez222/fv39//VOz2Vx56b63\noAoLC2NZNjR9hZLBYLDb7V6vV+oggaRWq7VarcVicTW4zVEGlEoly7K2+tsuZYGmaZPJ5HK5\nLBaL1FkCzGQyVVdXS50iwIxGI8dx8jsS6vV6p9Mp4a/qYFCpVDqdTn5HwpZzKVaqrlvZpAwm\nk8nj8TgujUvged5qtUZEREibCgAAAKAlaGWFXXx8vFKpPHz4sO/psWPHaJpOTk6WNhUAAABA\nS9DKLsVqNJohQ4asWrUqIiKCoqgVK1YMGDAgPDxc6lwAAAAA0mtlhR0hJDs7e+XKlS+//LIg\nCH369MnOzpY6EQAAAECL0PoKO4Zhxo0bN27cOKmDAAAAALQsreweOwAAAAC4GhR2AAAAADKB\nwg4AAABAJlrfPXaNwnFcaKafFgTB6/UqlcoQ9BVKoihyHMdcWrtMHmia9nq9DMPI7PvFMAxF\nUTLbKYqifPNjy2y/CCE8z8tvp0RRlOWRkBDCsqzkixkEFsMwcj0SkhZwxGBZVq/XB2nj1/6l\nTImiGKSOAQAAACCUZPX3BwAAAEBbhsIOAAAAQCZQ2AEAAADIBAo7AAAAAJlAYQcAAAAgEyGd\n7mT79u3ffvttSUlJ586dJ06cGBsbSwjhef6jjz7as2eP1+vNysoaN24cx3FNaAcAAABo40J3\nxm779u3vv//+X/7yl+eff54QMnfuXEEQCCErV67cvXv3hAkTcnJycnNzly5d6nt/Y9sBAAAA\n2rgQFXaiKH755ZdjxowZMmRIz549p06dmpSUVFlZ6XA4tm7dmp2dnZmZmZGRMXHixF27dpnN\n5sa2h2YvAAAAAFqyEF2KPX/+fElJyS233CKKYl1dXWRk5DPPPEMIOXHihNPp7NWrl+9t6enp\ngiAUFhZqNJpGtWdkZPhaqqurCwoK6vuNi4vTaDQh2EGdTscwjPyGNYBUAAAgAElEQVRKTK1W\n63Q6eZ6XOkggKZVKlUplt9s9Ho/UWQLJt0aI0+mUOkgg0TSt1+s9Ho/dbpc6S4AZDIa6ujqp\nUwSYVqtlWVZ+R0KNRuN2u32LoMiGQqFQq9UOh8PtdkudJZA4jmNZ1uFwSB7j/Pnzwdt4UlLS\n1V4NUWFXVVXFMMyOHTs+//xzh8NhMpnGjx9/yy231NTUsCyr1Wr/m4ZldTpdTU2Ny+VqVHt9\nRwcPHpwxY0b903fffTcrKys0+0gIMRqNIesrZHQ6ndQRgiI0FX/oSb6QTjBwHCfLHy5Z7hSR\n6X7J9WZutVqtVqulThF4CoVC2gASnjgIUWFXV1fH83x+fv7bb7+t0+k2b968cOHCt956SxRF\niqIuezPP841tr3+ckJAwZsyY+qcRERGhKduVSiVN05L/iRBwCoXC6/X67oaUDZZlOY5zu90y\nOxPJMAxN0zI7DUlRlEql4nleZicVCCEqlUpmp1cJjoStilyPhDRNMwwj+ZHwylolZEJU2Pn+\ngJs4cWJ4eDgh5N577/3uu+9yc3M7d+7s8XgcDofvLwae561Wa0REhFarbVR7fUfJyclTpkyp\nf2o2m202Wwh2kOM4mqZD01coMQzjcDhkdgFCrVZzHOdyuVwul9RZAkmpVLIsK7MPIU3TKpXK\n6/XKbL8IIUqlUn47xbKsLI+ENE07nU7Ja4XAUqlUsjwSKhQKhUIh+YdQpVJJ1XWIBk/ExsZS\nFGW1Wn1PeZ53uVxarTY+Pl6pVB4+fNjXfuzYMZqmk5OTG9semr0AAAAAaMlCdMYuMjKyX79+\nb7zxxsMPP6zVar/++muGYbKysjQazZAhQ1atWhUREUFR1IoVKwYMGOA7q9fYdgAAAIA2jhJF\nMTQ9ud3uDz/8cP/+/U6ns2vXrmPHju3QoQMhhOf5lStX7t27VxCEPn36ZGdn109E3Kj2P2Q2\nm0Nz8jwsLIxl2crKyhD0FUoGg8Fut8vvUqxWq7VYLDK7ACHXS7Emk8nlclksFqmzBJjJZKqu\nrpY6RYAZjUaO4+R3JNTr9bK8FKvT6eR3JPRdiq2/QigVlUp14cKFIG382qNiQ1fYSQKFXTOh\nsGtFUNi1LijsWhEUdq0ICjusFQsAAAAgEyjsAAAA2h55zd4C9VDYAQAAtDnKyZPJyJFUba3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pswSSUqlkWVZmS/zRNG0ymdxut8VikTpL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\nEJg/f/7tt9/O8/yqVatat27dp08fA4uE+hYKw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+ "text/plain": [ + "plot without title" + ] + }, + "metadata": { + "image/png": { + "height": 420, + "width": 420 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "ggplot(\n", + " mempoolBlocks[\n", + " !is.na(`Region`) & `Slot` >= bauSlot & `Tx seen first` == TRUE & `Mempool - slot time [s]` > -100, \n", + " .(`Region`=paste(\"Region:\",substr(`Region`,1,2)), `Mempool - slot time [s]`)\n", + " ], \n", + " aes(x=`Mempool - slot time [s]`)\n", + ") +\n", + " geom_histogram(binwidth=1) +\n", + " geom_line(\n", + " data=CJ(`lag`=0:100, `Region`=paste(\"Region:\",substr(mempoolBlocks[,unique(`Region`)],1,2)))[\n", + " mempoolBlocks[\n", + " !is.na(`Region`) & `Slot` >= bauSlot & `Tx seen first` == TRUE & `Mempool - slot time [s]` > -100, \n", + " .N, \n", + " .(`Region`=paste(\"Region:\",substr(`Region`,1,2)))\n", + " ],\n", + " on=\"Region\"\n", + " ][, .(`Region`, `lag`, `Count`=`N` * dgeom(`lag`, 0.05))],\n", + " aes(x=-`lag`, y=`Count`),\n", + " color=\"red\"\n", + " ) +\n", + " facet_grid(`Region` ~ ., scales=\"free_y\") +\n", + " xlab(\"Arrival time at memory pool relative to the block's slot time [s]\") +\n", + " ylab(\"Number of transactions\") +\n", + " ggtitle(\n", + " \"Arrival-time distribution of transactions reaching the memory pool\",\n", + " \"Red line = geometric distribution with active slot coefficient of 0.05 block/slot\"\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "5cd2d28e-35de-4ca3-b9a1-c270f11258b8", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "ggsave(\"transaction-arrival.png\", units=\"in\", dpi=150, width=8, height=6)" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "95ff7afe-899f-47ca-888d-029673e87802", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "ggsave(\"transaction-arrival.svg\", units=\"in\", dpi=150, width=8, height=6)" + ] + }, + { + "cell_type": "markdown", + "id": "21d2507c-cfd8-4c83-87c4-1cc87ebca46d", + "metadata": {}, + "source": [ + "## Fraction of block's transactions received in the node's mempool before in their block." + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "8e4f4e6f-e420-44ac-9ef1-5a08bfcb4d3e", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
A data.table: 6 x 3
BAU?RegionP(mempool|block)
<lgl><chr><dbl>
FALSERegion: ap0.4730102
TRUERegion: ap0.9607021
FALSERegion: eu0.6441413
TRUERegion: eu0.9190227
FALSERegion: us0.1231581
TRUERegion: us0.9242111
\n" + ], + "text/latex": [ + "A data.table: 6 x 3\n", + "\\begin{tabular}{lll}\n", + " BAU? & Region & P(mempool\\textbar{}block)\\\\\n", + " & & \\\\\n", + "\\hline\n", + "\t FALSE & Region: ap & 0.4730102\\\\\n", + "\t TRUE & Region: ap & 0.9607021\\\\\n", + "\t FALSE & Region: eu & 0.6441413\\\\\n", + "\t TRUE & Region: eu & 0.9190227\\\\\n", + "\t FALSE & Region: us & 0.1231581\\\\\n", + "\t TRUE & Region: us & 0.9242111\\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "A data.table: 6 x 3\n", + "\n", + "| BAU? <lgl> | Region <chr> | P(mempool|block) <dbl> |\n", + "|---|---|---|\n", + "| FALSE | Region: ap | 0.4730102 |\n", + "| TRUE | Region: ap | 0.9607021 |\n", + "| FALSE | Region: eu | 0.6441413 |\n", + "| TRUE | Region: eu | 0.9190227 |\n", + "| FALSE | Region: us | 0.1231581 |\n", + "| TRUE | Region: us | 0.9242111 |\n", + "\n" + ], + "text/plain": [ + " BAU? Region P(mempool|block)\n", + "1 FALSE Region: ap 0.4730102 \n", + "2 TRUE Region: ap 0.9607021 \n", + "3 FALSE Region: eu 0.6441413 \n", + "4 TRUE Region: eu 0.9190227 \n", + "5 FALSE Region: us 0.1231581 \n", + "6 TRUE Region: us 0.9242111 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "pmbr <- mempoolBlocks[\n", + " !is.na(`Region`),\n", + " .(\n", + " `P(mempool|block)`=mean(mapply(function(x) if (is.na(x)) 0 else 1, `Tx logged`))\n", + " ),\n", + " .(\n", + " `BAU?`=`Slot`>=bauSlot,\n", + " `Region`=paste(\"Region:\",substr(`Region`,1,2)),\n", + " `Slot`\n", + " )\n", + "]\n", + "pmbr[, .(`P(mempool|block)`=mean(`P(mempool|block)`)), .(`BAU?`, `Region`)]" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "a090163f-1249-41ba-9216-cf000b03150e", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
A data.table: 3 x 3
RegionFraction = 0%Fraction = 100%
<chr><dbl><dbl>
Region: ap0.016809220.8944524
Region: eu0.052005240.8665953
Region: us0.071326850.8960361
\n" + ], + "text/latex": [ + "A data.table: 3 x 3\n", + "\\begin{tabular}{lll}\n", + " Region & Fraction = 0\\% & Fraction = 100\\%\\\\\n", + " & & \\\\\n", + "\\hline\n", + "\t Region: ap & 0.01680922 & 0.8944524\\\\\n", + "\t Region: eu & 0.05200524 & 0.8665953\\\\\n", + "\t Region: us & 0.07132685 & 0.8960361\\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "A data.table: 3 x 3\n", + "\n", + "| Region <chr> | Fraction = 0% <dbl> | Fraction = 100% <dbl> |\n", + "|---|---|---|\n", + "| Region: ap | 0.01680922 | 0.8944524 |\n", + "| Region: eu | 0.05200524 | 0.8665953 |\n", + "| Region: us | 0.07132685 | 0.8960361 |\n", + "\n" + ], + "text/plain": [ + " Region Fraction = 0% Fraction = 100%\n", + "1 Region: ap 0.01680922 0.8944524 \n", + "2 Region: eu 0.05200524 0.8665953 \n", + "3 Region: us 0.07132685 0.8960361 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "pmbr[`BAU?` == TRUE, .(`Fraction = 0%`=mean(`P(mempool|block)`==0), `Fraction = 100%`=mean(`P(mempool|block)`==1)), .(`Region`)]" + ] + }, + { + "cell_type": "markdown", + "id": "5238643f-70be-470a-b672-3224cca7db3c", + "metadata": {}, + "source": [ + "A reasonable approximation for the fraction of a block's transactions being previously seen in the memory pool is a distribution with masses at 0% and 100% and a uniform distriubtion between those." + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "7618e2ce-df8b-4ead-8fb1-734ce923c8d3", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": 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gm6DdQ2Ha6RdgZ29J1LNlyf2rCtGVd8lTXP+Iygi1Kkz78SSYdhDaWIRM8jIpUn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\noFlkdAE9I0nzPiHF4QGnLFXNNxtOo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+ "text/plain": [ + "plot without title" + ] + }, + "metadata": { + "image/png": { + "height": 420, + "width": 420 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "ggplot(pmbr[`BAU?` == TRUE], aes(x=`P(mempool|block)`)) +\n", + " geom_histogram(bins=50) +\n", + " geom_text(\n", + " data=pmbr[`BAU?` == TRUE, .(`Fraction = 0%`=mean(`P(mempool|block)`==0), `Fraction = 100%`=mean(`P(mempool|block)`==1)), .(`Region`)],\n", + " aes(label=sprintf(\"Blocks with 0%% of txs seen in mempool = %.1f%%\", 100 * `Fraction = 0%`)),\n", + " x=0.1, y=80,\n", + " hjust=0,\n", + " size=4\n", + " ) +\n", + " geom_text(\n", + " data=pmbr[`BAU?` == TRUE, .(`Fraction = 0%`=mean(`P(mempool|block)`==0), `Fraction = 100%`=mean(`P(mempool|block)`==1)), .(`Region`)],\n", + " aes(label=sprintf(\"Blocks with 100%% of txs seen in mempool = %.1f%%\", 100 * `Fraction = 100%`)),\n", + " x=0.1, y=100,\n", + " hjust=0,\n", + " size=4\n", + " ) +\n", + " scale_y_sqrt() +\n", + " facet_grid(`Region` ~ .) +\n", + " ylab(\"Number of blocks\\nnonlinear scale\") +\n", + " ggtitle(\"Fraction of transactions in block previously seen in mempool\")" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "6a422da8-c019-4f24-86b6-da68532e332c", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "ggsave(\"block-fraction.png\", units=\"in\", dpi=150, width=8, height=6)" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "id": "fb9b5a25-e410-40bc-bbac-70828d549b31", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "ggsave(\"block-fraction.svg\", units=\"in\", dpi=150, width=8, height=6)" + ] + }, + { + "cell_type": "markdown", + "id": "ff0c23e9-2fb6-4954-a933-736d45ee32c1", + "metadata": {}, + "source": [ + "## Temporal autocorrelation of fraction of block's transactions received in the node's mempool before in their block." + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "id": "61feddbb-9872-4e4d-9cd3-d442173cc98c", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": 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c5cgCmpogv78uQH76dly1WuobY6mdONv80ghZyDeownSPjx08fz+YXhFG+M9C5e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l4pOXwxdH4ixAflY9f2fhv+mnqULoHqCb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\nxuUbxG9YcAknz7zt8WFBpSp/k5/yyJFcT1OU1HNgIsX7+do0XJqvcyOda+8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DLOMbn3T1DnEAoDS9ailIN27EP9g0bdaPjySClN8mGjMn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\ngUjkQCR9IJIIEIkciOQf+9Kxc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+ "text/plain": [ + "plot without title" + ] + }, + "metadata": { + "image/png": { + "height": 420, + "width": 420 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "ggplot(pmbr[`BAU?` == TRUE], aes(x=`Slot`, y=`P(mempool|block)`)) +\n", + " geom_point(size=0.25) +\n", + " facet_grid(`Region` ~ .)" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "id": "e49dccfb-f0f6-4014-baa8-8f43eea19f22", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "text/plain": [ + " Region Lag [blocks] Autocorrelation \n", + " Length:753 Min. : 0 Min. :0.006804 \n", + " Class :character 1st Qu.: 62 1st Qu.:0.043884 \n", + " Mode :character Median :125 Median :0.069114 \n", + " Mean :125 Mean :0.218570 \n", + " 3rd Qu.:188 3rd Qu.:0.330734 \n", + " Max. :250 Max. :1.000000 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "bacf <-\n", + " rbind(\n", + " cbind(\n", + " `Region`=\"Region: ap\",\n", + " with(\n", + " acf(pmbr[`BAU?` == TRUE & `Region`==\"Region: ap\", `P(mempool|block)`, .(`Slot`)][order(`Slot`)][, `P(mempool|block)`], lag.max=250, plot=FALSE),\n", + " data.frame(lag, acf)\n", + " )\n", + " ),\n", + " cbind(\n", + " `Region`=\"Region: eu\",\n", + " with(\n", + " acf(pmbr[`BAU?` == TRUE & `Region`==\"Region: eu\", `P(mempool|block)`, .(`Slot`)][order(`Slot`)][, `P(mempool|block)`], lag.max=250, plot=FALSE),\n", + " data.frame(lag, acf)\n", + " )\n", + " ),\n", + " cbind(\n", + " `Region`=\"Region: us\",\n", + " with(\n", + " acf(pmbr[`BAU?` == TRUE & `Region`==\"Region: us\", `P(mempool|block)`, .(`Slot`)][order(`Slot`)][, `P(mempool|block)`], lag.max=250, plot=FALSE),\n", + " data.frame(lag, acf)\n", + " )\n", + " )\n", + " )\n", + "colnames(bacf) <- c(\"Region\", \"Lag [blocks]\", \"Autocorrelation\")\n", + "bacf %>% summary" + ] + }, + { + "cell_type": "markdown", + "id": "b9b4de4a-8063-4295-9c48-0788328a17e2", + "metadata": {}, + "source": [ + "It is interesting the in the `ap` and `eu` region, the correlation for a block's transactions being previously seen in the mempool persists for less than five blocks but for the `us` region it persisted for hundreds of blocks." + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "id": "9daea98a-34e0-4ea2-a62e-0c669bd9741e", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": 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zg942Rx4VyLZfdu+Zn+/hUIIp0/9MQAkdoFbCTsf/RQivR3q/WZcOsHE1Kkn5zO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+ "text/plain": [ + "plot without title" + ] + }, + "metadata": { + "image/png": { + "height": 420, + "width": 420 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "ggplot(bacf, aes(x=`Lag [blocks]`, y=`Autocorrelation`)) +\n", + " geom_segment(aes(xend=`Lag [blocks]`, yend = 0), linewidth = 1) +\n", + " facet_grid(`Region` ~ .) +\n", + " ggtitle(\"Temporal autocorrelation for fraction of a block's transactions seen in the mempool\")" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "id": "a25270a2-c8ea-4c28-8c79-1ad2811d619c", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "ggsave(\"block-autocorrelation.png\", units=\"in\", dpi=150, width=8, height=6)" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "id": "16b332e4-e36b-45bc-8265-93112a57e6f8", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "ggsave(\"block-autocorrelation.svg\", units=\"in\", dpi=150, width=8, height=6)" + ] + }, + { + "cell_type": "markdown", + "id": "bba5346f-246a-4777-8948-48ac25abb859", + "metadata": {}, + "source": [ + "## Spatial autocorrelation of fraction of mempool transactions received in the node's mempool before in their block." + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "id": "f633a79d-8ab1-4a5d-9df8-9d6d6d6de588", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
A matrix: 3 x 3 of type dbl
Region: apRegion: euRegion: us
Region: ap1.00000000.246152440.01247320
Region: eu0.24615241.000000000.02953728
Region: us0.01247320.029537281.00000000
\n" + ], + "text/latex": [ + "A matrix: 3 x 3 of type dbl\n", + "\\begin{tabular}{r|lll}\n", + " & Region: ap & Region: eu & Region: us\\\\\n", + "\\hline\n", + "\tRegion: ap & 1.0000000 & 0.24615244 & 0.01247320\\\\\n", + "\tRegion: eu & 0.2461524 & 1.00000000 & 0.02953728\\\\\n", + "\tRegion: us & 0.0124732 & 0.02953728 & 1.00000000\\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "A matrix: 3 x 3 of type dbl\n", + "\n", + "| | Region: ap | Region: eu | Region: us |\n", + "|---|---|---|---|\n", + "| Region: ap | 1.0000000 | 0.24615244 | 0.01247320 |\n", + "| Region: eu | 0.2461524 | 1.00000000 | 0.02953728 |\n", + "| Region: us | 0.0124732 | 0.02953728 | 1.00000000 |\n", + "\n" + ], + "text/plain": [ + " Region: ap Region: eu Region: us\n", + "Region: ap 1.0000000 0.24615244 0.01247320\n", + "Region: eu 0.2461524 1.00000000 0.02953728\n", + "Region: us 0.0124732 0.02953728 1.00000000" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "bcor <- cor(dcast(pmbr[`BAU?` == TRUE], `Slot` ~ `Region`, value.var =\"P(mempool|block)\")[, -1], use=\"pairwise.complete.obs\")\n", + "bcor" + ] + }, + { + "cell_type": "markdown", + "id": "f551075a-ff6c-4aa4-b86a-e065cb869b9b", + "metadata": {}, + "source": [ + "At the block level there isn't much correlation between fractio of transactions seen in the mempool before in the block in different regions." + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "id": "80537610-a559-4de9-940e-80355a7b80d6", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": 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R0DAwMlV1PxJN2z+eqU9WyYs2SYlr9E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+ "text/plain": [ + "plot without title" + ] + }, + "metadata": { + "image/png": { + "height": 420, + "width": 420 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "ggplot(\n", + " melt(cbind(`Region 1`=row.names(bcor), as.data.table(bcor)), id.vars=\"Region 1\", variable.name=\"Region 2\", value.name=\"Correlation\")[, .(\n", + " `Region 1`=substr(`Region 1`,8,10), `Region 2`=substr(`Region 2`,8,10), `Correlation`\n", + " )],\n", + " aes(x=`Region 1`, y=`Region 2`, fill=`Correlation`)\n", + ") +\n", + " geom_tile(color=\"white\") +\n", + " geom_text(aes(label=sprintf(\"%.1f%%\",100*`Correlation`)), size = 4, color = \"white\") +\n", + " xlab(\"Region\") +\n", + " ylab(\"Region\") +\n", + " ggtitle(\"Inter-region correlation in fraction of transactions seen in mempool before in block\")" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "id": "8eed34eb-4beb-4269-8b7f-64d3f0b42727", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "ggsave(\"block-spatiocorrelation.png\", units=\"in\", dpi=150, width=8, height=6)" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "id": "459a1e12-7381-4173-a4a3-9cf59b87205f", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "ggsave(\"block-spatiocorrelation.svg\", units=\"in\", dpi=150, width=8, height=6)" + ] + }, + { + "cell_type": "markdown", + "id": "e52fc5d8-06c7-492a-9089-84f1eacff7b9", + "metadata": {}, + "source": [ + "## Probability that a transaction is in a block received by a node, given that is was previously received in the node's memory pool." + ] + }, + { + "cell_type": "markdown", + "id": "d784fcf9-2258-42ec-b418-7117bc87e090", + "metadata": {}, + "source": [ + "Actually, there were no observations where a transaction reached a memory pool but didn't reach a block." + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "id": "c4689f78-9023-47f2-94ca-9b1cc5ab3997", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "text/html": [ + "0" + ], + "text/latex": [ + "0" + ], + "text/markdown": [ + "0" + ], + "text/plain": [ + "[1] 0" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "mempoolBlocks[is.na(`Block logged`) & !is.na(`Tx logged`), .N]" + ] + }, + { + "cell_type": "markdown", + "id": "147edf29-02f0-4281-a11a-c2fde574da6b", + "metadata": {}, + "source": [ + "## Distribution of number of nodes that see that transactions before it appears in a block." + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "id": "bf3cf995-c8c9-4c49-8b59-c885dc7c1a7b", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
A data.table: 3 x 2
Number of regionsNumber of transactions
<int><int>
1 69
2 196
3125318
\n" + ], + "text/latex": [ + "A data.table: 3 x 2\n", + "\\begin{tabular}{ll}\n", + " Number of regions & Number of transactions\\\\\n", + " & \\\\\n", + "\\hline\n", + "\t 1 & 69\\\\\n", + "\t 2 & 196\\\\\n", + "\t 3 & 125318\\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "A data.table: 3 x 2\n", + "\n", + "| Number of regions <int> | Number of transactions <int> |\n", + "|---|---|\n", + "| 1 | 69 |\n", + "| 2 | 196 |\n", + "| 3 | 125318 |\n", + "\n" + ], + "text/plain": [ + " Number of regions Number of transactions\n", + "1 1 69 \n", + "2 2 196 \n", + "3 3 125318 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "mempoolBlocks[\n", + " `Slot` >= bauSlot, .N, .(`Region`, `Tx hash`)\n", + "][\n", + " , .(`Number of regions`=.N), .(`Tx hash`)\n", + "][\n", + " , .(`Number of transactions`=.N), .(`Number of regions`)\n", + "][\n", + " order(`Number of regions`)\n", + "]" + ] + }, + { + "cell_type": "markdown", + "id": "a95d07d9-25ac-4d64-90fa-a4c5efb0c928", + "metadata": {}, + "source": [ + "## Tracking of CF's \"canary\" transactions' arrival in memory pools." + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "id": "21b9c142-6256-4dc0-96cc-70666dff1c64", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "text/plain": [ + " Canary address\n", + " addr1vx2uvrm53dak4x3u0txy98r2jpg2nhy0n82vk8a6v9wmk4s8up888:163 \n", + " addr1vx7gvyvy2r7mycya22f3x88wlgra2552uxm8xz2g0v3g6yccgyydv:163 \n", + " addr1vxpvhtj5vvcqmf9td3vlvv4vza9nnuqrmkc42cnd42dg7fsz0v99d:163 \n", + " addr1vy0zwnn5yj4h3s25xuere4h38np4z6gcng2mdgxg0mapxagl6x66d:162 \n", + " \n", + " \n", + " \n", + " Tx hash \n", + " 4efa94f4aa8b8aa5d59431752cf0c4d7306b4c321105c7ebfc015819b045c4fa: 2 \n", + " 53597b93ac2de670f6eeeeaaa658fd20c111ed8323cf26631c1fc44230ae2d45: 2 \n", + " bbefe6d53028de74785758ee18a5b8fc0b2863c917a41bfe2785fd0fe73929ed: 2 \n", + " f61a35f8f5ee8c0aac3bc84b7889a59b6c7bdde7ebdcb5c330353710da3cc1fb: 2 \n", + " 0003d419d3ed79b6d6711004e951e3e818d03a1df633b3e02070a6c84821f735: 1 \n", + " 00539f487af5aa4b01e48776987d1a726d915cde60c1236874df45f621b1be71: 1 \n", + " (Other) :641 \n", + " Slot submitted Canary delay \n", + " Min. :172020864 Min. : 1.00 \n", + " 1st Qu.:172163528 1st Qu.: 7.00 \n", + " Median :172309787 Median : 15.00 \n", + " Mean :172310140 Mean : 28.25 \n", + " 3rd Qu.:172456005 3rd Qu.: 32.00 \n", + " Max. :172602274 Max. :454.00 \n", + " " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "canary <- fread(\"canary.tsv.gz\", stringsAsFactors=TRUE)\n", + "colnames(canary) <- c(\"Canary address\", \"Tx hash\", \"Slot submitted\", \"Canary delay\")\n", + "canary %>% summary" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "id": "66ed821f-70e3-4603-8834-1cb5ba332700", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
A data.table: 10 x 3
Canary addressNumber of regionsCount
<fct><int><int>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 1
addr1vx7gvyvy2r7mycya22f3x88wlgra2552uxm8xz2g0v3g6yccgyydv1 1
\n" + ], + "text/latex": [ + "A data.table: 10 x 3\n", + "\\begin{tabular}{lll}\n", + " Canary address & Number of regions & Count\\\\\n", + " & & \\\\\n", + "\\hline\n", + "\t addr1vy0zwnn5yj4h3s25xuere4h38np4z6gcng2mdgxg0mapxagl6x66d & 3 & 92\\\\\n", + "\t addr1vxpvhtj5vvcqmf9td3vlvv4vza9nnuqrmkc42cnd42dg7fsz0v99d & 3 & 91\\\\\n", + "\t addr1vx7gvyvy2r7mycya22f3x88wlgra2552uxm8xz2g0v3g6yccgyydv & 3 & 92\\\\\n", + "\t addr1vx2uvrm53dak4x3u0txy98r2jpg2nhy0n82vk8a6v9wmk4s8up888 & 3 & 95\\\\\n", + "\t addr1vy0zwnn5yj4h3s25xuere4h38np4z6gcng2mdgxg0mapxagl6x66d & 2 & 17\\\\\n", + "\t addr1vx2uvrm53dak4x3u0txy98r2jpg2nhy0n82vk8a6v9wmk4s8up888 & 2 & 14\\\\\n", + "\t addr1vxpvhtj5vvcqmf9td3vlvv4vza9nnuqrmkc42cnd42dg7fsz0v99d & 2 & 17\\\\\n", + "\t addr1vx7gvyvy2r7mycya22f3x88wlgra2552uxm8xz2g0v3g6yccgyydv & 2 & 16\\\\\n", + "\t addr1vxpvhtj5vvcqmf9td3vlvv4vza9nnuqrmkc42cnd42dg7fsz0v99d & 1 & 1\\\\\n", + "\t addr1vx7gvyvy2r7mycya22f3x88wlgra2552uxm8xz2g0v3g6yccgyydv & 1 & 1\\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "A data.table: 10 x 3\n", + "\n", + "| Canary address <fct> | Number of regions <int> | Count <int> |\n", + "|---|---|---|\n", + "| addr1vy0zwnn5yj4h3s25xuere4h38np4z6gcng2mdgxg0mapxagl6x66d | 3 | 92 |\n", + "| addr1vxpvhtj5vvcqmf9td3vlvv4vza9nnuqrmkc42cnd42dg7fsz0v99d | 3 | 91 |\n", + "| addr1vx7gvyvy2r7mycya22f3x88wlgra2552uxm8xz2g0v3g6yccgyydv | 3 | 92 |\n", + "| addr1vx2uvrm53dak4x3u0txy98r2jpg2nhy0n82vk8a6v9wmk4s8up888 | 3 | 95 |\n", + "| addr1vy0zwnn5yj4h3s25xuere4h38np4z6gcng2mdgxg0mapxagl6x66d | 2 | 17 |\n", + "| addr1vx2uvrm53dak4x3u0txy98r2jpg2nhy0n82vk8a6v9wmk4s8up888 | 2 | 14 |\n", + "| addr1vxpvhtj5vvcqmf9td3vlvv4vza9nnuqrmkc42cnd42dg7fsz0v99d | 2 | 17 |\n", + "| addr1vx7gvyvy2r7mycya22f3x88wlgra2552uxm8xz2g0v3g6yccgyydv | 2 | 16 |\n", + "| addr1vxpvhtj5vvcqmf9td3vlvv4vza9nnuqrmkc42cnd42dg7fsz0v99d | 1 | 1 |\n", + "| addr1vx7gvyvy2r7mycya22f3x88wlgra2552uxm8xz2g0v3g6yccgyydv | 1 | 1 |\n", + "\n" + ], + "text/plain": [ + " Canary address Number of regions\n", + "1 addr1vy0zwnn5yj4h3s25xuere4h38np4z6gcng2mdgxg0mapxagl6x66d 3 \n", + "2 addr1vxpvhtj5vvcqmf9td3vlvv4vza9nnuqrmkc42cnd42dg7fsz0v99d 3 \n", + "3 addr1vx7gvyvy2r7mycya22f3x88wlgra2552uxm8xz2g0v3g6yccgyydv 3 \n", + "4 addr1vx2uvrm53dak4x3u0txy98r2jpg2nhy0n82vk8a6v9wmk4s8up888 3 \n", + "5 addr1vy0zwnn5yj4h3s25xuere4h38np4z6gcng2mdgxg0mapxagl6x66d 2 \n", + "6 addr1vx2uvrm53dak4x3u0txy98r2jpg2nhy0n82vk8a6v9wmk4s8up888 2 \n", + "7 addr1vxpvhtj5vvcqmf9td3vlvv4vza9nnuqrmkc42cnd42dg7fsz0v99d 2 \n", + "8 addr1vx7gvyvy2r7mycya22f3x88wlgra2552uxm8xz2g0v3g6yccgyydv 2 \n", + "9 addr1vxpvhtj5vvcqmf9td3vlvv4vza9nnuqrmkc42cnd42dg7fsz0v99d 1 \n", + "10 addr1vx7gvyvy2r7mycya22f3x88wlgra2552uxm8xz2g0v3g6yccgyydv 1 \n", + " Count\n", + "1 92 \n", + "2 91 \n", + "3 92 \n", + "4 95 \n", + "5 17 \n", + "6 14 \n", + "7 17 \n", + "8 16 \n", + "9 1 \n", + "10 1 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "canary[\n", + " mempoolBlocks[!is.na(`Region`) & `Slot` >= bauSlot], \n", + " on=\"Tx hash\", \n", + " nomatch=0\n", + "][!is.na(`Tx logged`), .N, .(`Canary address`, `Tx hash`, `Region`)][\n", + " ,\n", + " .(`Number of regions`=.N),\n", + " .(`Canary address`, `Tx hash`)\n", + "][\n", + " ,\n", + " .(`Count`=.N),\n", + " .(`Canary address`, `Number of regions`)\n", + "]" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "id": "3e053e28-3567-4407-a8f9-61e901ecfa09", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
A data.table: 4 x 2
Canary addressN
<fct><int>
addr1vy0zwnn5yj4h3s25xuere4h38np4z6gcng2mdgxg0mapxagl6x66d109
addr1vxpvhtj5vvcqmf9td3vlvv4vza9nnuqrmkc42cnd42dg7fsz0v99d109
addr1vx7gvyvy2r7mycya22f3x88wlgra2552uxm8xz2g0v3g6yccgyydv109
addr1vx2uvrm53dak4x3u0txy98r2jpg2nhy0n82vk8a6v9wmk4s8up888109
\n" + ], + "text/latex": [ + "A data.table: 4 x 2\n", + "\\begin{tabular}{ll}\n", + " Canary address & N\\\\\n", + " & \\\\\n", + "\\hline\n", + "\t addr1vy0zwnn5yj4h3s25xuere4h38np4z6gcng2mdgxg0mapxagl6x66d & 109\\\\\n", + "\t addr1vxpvhtj5vvcqmf9td3vlvv4vza9nnuqrmkc42cnd42dg7fsz0v99d & 109\\\\\n", + "\t addr1vx7gvyvy2r7mycya22f3x88wlgra2552uxm8xz2g0v3g6yccgyydv & 109\\\\\n", + "\t addr1vx2uvrm53dak4x3u0txy98r2jpg2nhy0n82vk8a6v9wmk4s8up888 & 109\\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "A data.table: 4 x 2\n", + "\n", + "| Canary address <fct> | N <int> |\n", + "|---|---|\n", + "| addr1vy0zwnn5yj4h3s25xuere4h38np4z6gcng2mdgxg0mapxagl6x66d | 109 |\n", + "| addr1vxpvhtj5vvcqmf9td3vlvv4vza9nnuqrmkc42cnd42dg7fsz0v99d | 109 |\n", + "| addr1vx7gvyvy2r7mycya22f3x88wlgra2552uxm8xz2g0v3g6yccgyydv | 109 |\n", + "| addr1vx2uvrm53dak4x3u0txy98r2jpg2nhy0n82vk8a6v9wmk4s8up888 | 109 |\n", + "\n" + ], + "text/plain": [ + " Canary address N \n", + "1 addr1vy0zwnn5yj4h3s25xuere4h38np4z6gcng2mdgxg0mapxagl6x66d 109\n", + "2 addr1vxpvhtj5vvcqmf9td3vlvv4vza9nnuqrmkc42cnd42dg7fsz0v99d 109\n", + "3 addr1vx7gvyvy2r7mycya22f3x88wlgra2552uxm8xz2g0v3g6yccgyydv 109\n", + "4 addr1vx2uvrm53dak4x3u0txy98r2jpg2nhy0n82vk8a6v9wmk4s8up888 109" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "canary[`Slot submitted` >= bauSlot, .N, .(`Canary address`)]" + ] + }, + { + "cell_type": "markdown", + "id": "9f16448f-6fb3-4848-a321-cec102225f3c", + "metadata": {}, + "source": [ + "Thus the majority of the transactions reached all three nodes." + ] + }, + { + "cell_type": "markdown", + "id": "dddf3672-9dca-4a1f-a6f2-fb911d73b2bf", + "metadata": {}, + "source": [ + "## Tracking of natural and induced congestion on arrival in memory pools.\n", + "\n", + "Each of these transactions was [8717 bytes](https://adastat.net/transactions/d798ed9489cdd977fa2155894edc27d3cb0137fcdb9454133448a242383e1384), so 20 of them completely fill a memory pool on a node configured with defaults." + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "id": "d770e35c-5ffa-4706-a46c-6f5b133c703a", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "text/html": [ + "174340" + ], + "text/latex": [ + "174340" + ], + "text/markdown": [ + "174340" + ], + "text/plain": [ + "[1] 174340" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "20 * 8717" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "id": "49b5ae9c-de74-458a-93fe-682cb09c668f", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "text/plain": [ + " Submission time \n", + " Min. :2025-11-26 14:01:16.00 \n", + " 1st Qu.:2025-11-26 14:01:16.00 \n", + " Median :2025-11-26 14:23:16.00 \n", + " Mean :2025-11-26 14:12:32.92 \n", + " 3rd Qu.:2025-11-26 14:23:16.00 \n", + " Max. :2025-11-26 14:23:16.00 \n", + " \n", + " Tx hash \n", + " 0ed21a6ff7e05561a73ebe454cbfc7bbea04c443529c23ec6440bb29724bcb4f: 1 \n", + " 0f55de2cd1cc3354297c855eb4ea62c4d6cf30e26fe9e010b9697bd553336e6c: 1 \n", + " 12be7f48a0bdd33a62df89c44b1ef6810d4d54ea26e7a4bf4c43e1fa3d8aa18f: 1 \n", + " 1f176c316231e138623364a4bed8574ceb070b2562c6867cf012e1c2cded6d7d: 1 \n", + " 2f93d4bade70efb1459923d14b1d5380565bd0313a9850b69c6b91c58451c205: 1 \n", + " 315c821bd42e69fd03425aab4564408bcdf9ce0de6e8f551259011a8aaac650a: 1 \n", + " (Other) :33 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "congestions <- fread(\"congestions.tsv.gz\", stringsAsFactors=TRUE)\n", + "colnames(congestions) <- c(\"Submission time\", \"Tx hash\")\n", + "congestions %>% summary" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "id": "6ff57e03-342f-42e7-8c8d-17c4666bf3b6", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\n", + "
A data.table: 2 x 2
Number of regionsCount
<int><int>
119
220
\n" + ], + "text/latex": [ + "A data.table: 2 x 2\n", + "\\begin{tabular}{ll}\n", + " Number of regions & Count\\\\\n", + " & \\\\\n", + "\\hline\n", + "\t 1 & 19\\\\\n", + "\t 2 & 20\\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "A data.table: 2 x 2\n", + "\n", + "| Number of regions <int> | Count <int> |\n", + "|---|---|\n", + "| 1 | 19 |\n", + "| 2 | 20 |\n", + "\n" + ], + "text/plain": [ + " Number of regions Count\n", + "1 1 19 \n", + "2 2 20 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "congestions[\n", + " mempoolBlocks[!is.na(`Region`) & `Slot` >= bauSlot], \n", + " on=\"Tx hash\", \n", + " nomatch=0\n", + "][!is.na(`Tx logged`), .N, .(`Tx hash`, `Region`)][\n", + " ,\n", + " .(`Number of regions`=.N),\n", + " .(`Tx hash`)\n", + "][\n", + " ,\n", + " .(`Count`=.N),\n", + " .(`Number of regions`)\n", + "]" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "id": "3c216469-0a19-45c4-b09d-7b86acef03de", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "text/html": [ + "39" + ], + "text/latex": [ + "39" + ], + "text/markdown": [ + "39" + ], + "text/plain": [ + "[1] 39" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "congestions[, .N]" + ] + }, + { + "cell_type": "markdown", + "id": "eb72cdbe-6a85-4f16-959e-92b0bc8f0193", + "metadata": {}, + "source": [ + "Thus only one or two of the nodes received a given transaction." + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "id": "c5b72452-d824-4781-b7ab-1b02e8f1bade", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": 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NZolKB69erHjh1btmzZnj17jAv37Nlz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\nLCw86mGirqPu6r17927evPlXv/rVu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+ "text/plain": [ + "plot without title" + ] + }, + "metadata": { + "image/png": { + "height": 420, + "width": 420 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "ggplot(\n", + " congestions[\n", + " mempoolBlocks[!is.na(`Region`) & `Slot` >= bauSlot], \n", + " on=\"Tx hash\", \n", + " nomatch=0\n", + " ][!is.na(`Tx logged`), .(`Delay [s]`=as.numeric(`Tx logged` - `Submission time`)), .(`Region`, `Tx hash`)],\n", + " aes(x=`Delay [s]`, fill=`Region`)\n", + ") +\n", + " geom_histogram(binwidth=0.05) +\n", + " ylab(\"Number of transactions\") +\n", + " ggtitle(\"Propagation of transactions when mempool is full\")" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "id": "fe4aed6c-5ff8-47cc-84ba-6cfec8a60dd2", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": 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WKxt7c3SZISicTa2vqjjz5CCBUXF+O2Sxs/5dKlS5WVlWvXrtW++UYsFhcVFX31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AADg3UNgBAAAAAAA4CVDYAQAAAAAAOAlQ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\nOexYXvD0ev3u3btZD3D0x66OIUOGYO2QkofkT1ICv/jii1j7p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A8AAAAAAADQQyiWZYnfUZSFUniEAAAAAMBj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\nP7/o6Ojy8nKZTIaNESkHOHLDDEmrH374ATsWKRYcYDUh2R8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+ "text/plain": [ + "plot without title" + ] + }, + "metadata": { + "image/png": { + "height": 420, + "width": 420 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "ggplot(\n", + " congestions[\n", + " mempoolBlocks[!is.na(`Region`) & `Slot` >= bauSlot], \n", + " on=\"Tx hash\", \n", + " nomatch=0\n", + " ][\n", + " !is.na(`Tx logged`) & as.character(`Submission time`) < '2025-11-26 14:12:00', \n", + " .(`Region`, `Tx hash`, `Submission time`, `Tx logged`)\n", + " ],\n", + " aes(x=`Submission time`, y=`Tx hash`)\n", + ") +\n", + " geom_point(color=\"orange\") +\n", + " geom_point(aes(x=`Tx logged`, y=`Tx hash`), color=\"blue\") +\n", + " geom_segment(aes(xend=`Tx logged`, yend=`Tx hash`), color=\"black\") +\n", + " facet_grid(. ~ `Region`, scales=\"free\") +\n", + " xlab(\"Clock time at submission vs reaching mempool [s]\") +\n", + " ggtitle(\"Mempool diffusion during congestion\")" + ] + }, + { + "cell_type": "markdown", + "id": "f3304449-1d0c-47a9-b8d1-223dd0de8a8f", + "metadata": {}, + "source": [ + "The previous plots shows that only one node ever received the transactions." + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "id": "fde04d04-ee8b-4c89-8ef5-4ce9393dc776", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": 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yMjIwcOHIgQCgoK+uCDD3JycqZOnUpbvrW1tbCwMCgoaMyYMQghFou1cePGuro6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LyupJsM0WXCxw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\nBQUFZrM5NDTU1dXV/igHBQW1tbU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JMjY2dvnysAqy9wAAIABJREFU5RcvXrx3715OTo5IJEIIvfbaaytWrKiv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eYpRDp49xnDFuuBq7\nd+8eo/0CgcC2UHHJsoZ+DtE26VOnTrUVyFJRjF7gDBhEZTLOd3V1ZYzSQJa2Xq/HLXlGcKsb\nJ58kScbA8vl8xljh9OLAVTiuclpbWzmtFNw4Y2F4enoyJo7P5+OCwxgEnNKHPhirHzavK+qC\ns6FeQPUqeaMMTg+Z/1SQktIXG6upqRGIRNSUKQZ396f7BzXMQk9lxJ/FmnqpqUVLevU6hSLi\n6Wgn+jFmjOlvfzNWVwv+/vfeUaOMkycbh+ant35TCNsv/U8mDQ0NxcXFN2/eFIlEEyZMiI2N\ntfwUBbL5cEUINTc3FxYWNjQ0iESisLCwlStX0o+S3b9/f//+/VeuXBEIBFFRUTExMUKhUKFQ\nHDp0qL6+3mw2BwcHx8TEBAQE/PnPfy4qKupnxh//+Mc//OEPjEpv3bp16NCh+fPnHzly5O7d\nu8HBwYmJifSu4dbW1k8++aShoWHYsGHLly//4YcfFi5cGBQUxGg/i16dTldUVHTx4kWNRhMa\nGhofH+/t7Y0Q0uv1hYWFP/30k1arDQkJiYuL8/HxQQi1t7fn5eVdvXrVy8vrd7/7neU/ObB+\nxhBnm8lkKioq+vHHH81m89SpU+Pj4+lfHGVPxMB9wSXoT3/601/+8heTyTRp0qSYmJiioiKT\nyZSamso4HhMTg4s5rjZwenExZKkxxnFc3BhrjKVmGAsVlyzrhOKSzigQV1E4L3AGcK1M3HzG\nKPWrWFwGceOMaRpEZeICi4sVp7JhqXxcTDitFJZxxsLAJQ4XHFwQcEoRE5YblzRyuVwkEnV2\ndg7RNrjf8lbsUMgfulux7L+Abb3DQSgUOjs7q9VqtVo9FJagIb4VS+Pi4iIQCDo6OoauHZJI\nJHa/FcvyBfKpaewAAAAABwYaO07yobGzF47X2D0de+wAAAAAAACAhwKNHQAAAAAAgIMAjR0A\nAAAAAICDAI0dAAAAAACAgwCNHQAAAAAAgIMAjR0AAAAAAICDAI0dAAAAAACAgwCNHQAAAAAA\ngIMAjR0AAAAAAICDAI0dAAAAAACAgwCNHQAAAAAAgIMAjR0AAAAAAICDAI0dAAAAAACAgwCN\nHQAAAAAAgIMAjR0AAAAAAICDAI0dAAAAAACAgwCNHQAAAAAAgIMAjR0AAAAAAICDAI0dAAAA\nAACAgwCNHQAAAAAAgIMAjR0AAAAAAICDAI0dAAAAAACAgwCNHQAAAAAAgIPw9DV2N27c2Lhx\nY3Jy8qOLeu211y5fvox7taGhYeHChUMn345YYvLoNj9pDC6GT1Hu7MLA/X26/OLKY6l/x1t0\nAAA81fAftwFYuru7i4uLL126pNfrg4ODY2NjAwMDEUJnzpxxd3dft24dQujevXvFxcW1tbVC\noTAsLCw+Pl4ikSCEWlpaCgsLr1+/TpJkaGjoqlWrPD09B6L0ypUrycnJR44ckcvlQ+kcQghV\nVlZ+9NFH/QZfeumlt99+22Qyffrpp5WVlUajMTIycvXq1QKBgEWUJSZtbW3sSo1GY0xMzCef\nfGLrYD/fy8rKDh06ZHmVJMlTp04hfMxx47g8Di5HA7d/0HL6gYsDzv7u7u6ioqKamhqz2Tx5\n8uS4uDh6HJdTnHyEUEVFxeeff65QKMaOHbtmzRpfX1/2+ZzA2cOeF9u4cc0jS50wxg3nL9c1\ngjDxxNnDSQhXZ3HBZAQXAVzELAxwRXMyBrecB1HeA8Js4DD5XwCDAT2szH9zIEc2PPY0PbmN\nXXZ2tkqlSkpKEolEp06dSklJyc3NdXNz6+zsDA4OdnFx0Wq1KSkpfn5+qamper3+8OHDGRkZ\n27dvNxgM27Zt8/PzS0pKMhqNx44dy8jIyM7OfqhGtVq9e/duiqJ+A+8QQuPHj09LS7McGo3G\nvXv3RkZGIoSKiooqKyvXrl1LkuTHH3+cm5u7fv16FlGWmLA0diaTqaWlpaysrKenx/ZVW98V\nCkVERMSCBQvoQ4IgEEK4mOPGESaPMpmMa4642j84ObYwxoGlxjIzMzUazZtvvkmSZElJyfbt\n2/fu3YvwOWWUjxCqqKjYv39/QkKCl5fXiRMntm/fnpeXx+PxcPO5wmgPi1+MceO61ljqBBc3\nnL9c1whjPPV6Pc6egQsZhLOcihAXAVzEaAa4orkagzstcy1vdni6NunP20T3ziJjn4s8pG/M\nFr3n7wbyRgfmzBnhjh3ShgZSLqcWLNB9+CFydX2sBlFmp9vFklsfI/UtscgL+SzTjFpPkeLH\natNjpreXyMqSlJSIOjt5I0ea/uM/NMuWaQd7hn4kntDGrqOj4/Lly5mZmSEhIQihpKSkN954\n48KFC999911dXV11dXV1dfXixYs7OztzcnJEIhFC6N13342Li2tubtbpdHfv3t21a5dMJkMI\nURSVnp6u1WqdnJwUCsX+/fsbGhqGDx++bNmyfkrz8vJcXFza29utB69cuVJYWNja2jpy5MjV\nq1ePGjUKIaRQKPLz869fv242m0ePHp2QkEB/bcXJV6vVBw8erKqq6uvrCw0NTUxM9PDwcHV1\nDQ8Pt8wpKSmZM2fO9OnTNRrNV1999fbbbz/33HMIoTVr1nzwwQdxcXEuLi6MclJSUiwxWb16\nNc7m8vLyM2fOGAzM365sfVcoFM8//7y1hQihmpoaxpi3trYyjstkMsY8jhw5kmuOuNrPNQ44\nvYxxuHnzJqP9PB6vvr4+KSlp2rRpCCGCILZt29bd3S0SiXA5ZZRPUVRZWVlMTMzcuXMRQj4+\nPoWFhffv3/fy8mKcz+Ivo1+4Gmtra8PlhTFuuDjQebRdI7j6GTFiBGPcXF1dGf3F2Y+LAy6e\nTU1NjPYEBAQolcr9+/fX1taSJBkVFbVy5UqSJBmF4JTinA0ICMAVoa1SPp/PGAG9Xo+LGD1h\ngCsa4VeErTFKpZJxOc+aNYtTebNDmHXOVf/G771KH5KqOufqZaopJXqPFwcuxME4c0a4cqUz\n/Xd3N3HkiNO1a+azZx/npTLJL/9P8nM6/Teha5Pc3E1qmnsm7X+MJj1eKAqtWSM/e1ZIH964\nQf7nf8o0GiI+XvPbG/OENnZms3np0qVjxoyhD41Go16vN5vN6enpaWlpwcHBS5cu/frrr/l8\nvlD4II4ymYwgiObm5qioqNLSUicnJ7PZrFQqq6urg4KCnJyctFptcnJyQEBAamqqSqU6cOCA\nTqezaPzmm28aGxvXrVvXb/debm5ubGysTCY7efJkcnLygQMHnJ2ds7OzxWLx5s2beTzesWPH\ncnNzd+7cySI/PT2doqj169cLhcLy8vK0tLTMzEzrmzIKheK7777bs2cPQqi5uVmr1YaFhdEv\nTZ482Ww2NzU1hYeHM8qxjklDQwPO5sWLFy9evLixsXHDhg39os3ou0KhuHTp0meffabT6caN\nG7dq1SpfX9++vj7GmOv1esbxkJAQxjyOGTOGa4642s8pDix6GeOAsx8hNH78+IqKilGjRpEk\nefbs2cDAQFdX12vXruFyyii/paVFoVDMmDGDoiiVSuXp6blp0yYWe3D+CoVCRr9wNRYWFobz\nizFuLHFgXCO4+gkICGCMG85fnP10f2kbB6VSyRjP2tpaRnv8/f1TU1M9PDy2bt16586doqIi\niUQya9YsRiHd3d2MSlmcZQwmRVG2SpcvX84YAaFQiIsYpxWNyyyjMb///e8ZlzPLKYulXBFC\nGo2ms7PTcigSiUiSFLUcs3R1ii6kMyCEkOnbd3ufG8yWAxYkEolerzcajfYVS+Pk5CQSifr6\n+h5dPkWhLVvkCNFfIZwQ8kEI/fQT78QJ4WuvDYnx7JAkSRi6JU1Z9KFKg+7Tl3rbP+sjFxmd\nJ9pXHUEQUqm0t7fXvmKt6erqIklSpVI9yv26CxcEZ8+q/nHkhZAMIbR9u+SNNwxiMUUQBI/H\nI0nSHvYihBCPx/aAxBPa2A0bNmzp0qX03zqdbs+ePWKxOCoqynrOpEmTTCbT4cOHo6OjdTrd\nwYMHKYrq7u7m8Xj0R0tycnJ9fb1MJsvMzEQIffvttwaDYcuWLWKxGCEkEoksd0Lb2try8/PT\n0tJs7xTExsZOnToVIRQUFBQfH19RUfHyyy9HRUXNmDFj+PDhCKF58+YVFBSwyG9oaKivrz98\n+DD9qbNx48b4+PjKykr6ez9CiKKo3NzcZcuW0btSurq6+Hy+VCqlX+Xz+TKZrKur66FyWGx+\n5ZVXcKFm9F2lUvX09BAEkZSUZDKZSkpKtm7dum/fPlzMp02bxjiOy+MgcsTJfq5xwOnFxUEi\nkTDajxDavHnz2rVrExMTEUISiSQ3N5clpzj5HR0dJEmeO3eupKREo9G4u7snJCTMmDEDNx/n\nr0QiYfQLZw8uLzhw8ymKYlwjuPrBxQ3nL85+emnYxmHkyJGM8cTZU1VVdffu3YyMDKlUOm7c\nOJ1Od+3aNVxScMGfOXMmzllGGJWyVCBjxBDHFY3bUMhoDG45//3vf+dU3hal58+ff+eddyxK\n8/LyIiMj0c+NlpHoPehvD46aEeJw2c9xmYPQOfqvq1dFbm6i394CNzc3dP8qMuvpw6M/oLXF\nlhdjfnt7nkg+RegNhJBaTdy/7zpp0oNRyxp5dMxmM8urT2hjR0NR1Llz544cOeLq6vrhhx/2\n29Xr5eW1adOmvLy8srIygUCwePFimUzm7OxsmZCSkqLVas+ePbtly5b8/Pzbt2+PHTuW/oRD\nCE2cOJE+8ZnN5l27di1atCgoKKixsRH9mtDQUPoPoVAYEhLS0tJCEMSiRYtqamq+//77lpaW\nqqoqegJO/u3bt00m04oVKywyTSZTR0eH5fDcuXNqtXrmzJkWr217FJPJ9FA5LDbjIozzXSqV\nFhefI0lzAAAgAElEQVQXu7u705aMHj06Jibm4sWLs2fPZow5ey5Y8jjAHHG1n2sccHpZ4sBo\nP0EQW7dunTJlSnR0NI/HO336dGpqalZWFi6nOPkEQZhMpuvXr+fk5Mhksi+++GLnzp179+71\n8fFhnD9ixAhGf8ViMaNfOHtwebFIwGE7n3GN4OpEq9Uyxg0XH4FAwGK/bRw8PDwY4+nn58do\nD33RznIWnj9//vz587/77jtGITilDz1B9YNRqclkYozA1KlTGSMmkUi4ruiBG0P/bbucuZa3\nRamXl5f191JnZ2edTscnxJbLGi9NQP4eCCGECJ7Z52Vk1/1KBEEM3Y5qgiAIgmD/9B0gJhMq\nL+f9w9LxlnGp1KzTDcndWHrzAA6dTkeY/3EhGqHR3ujfpj742+z+HJL4290eHo9nl0jisEuy\nbt4kqqst9RloGReJ9DodxefzKYqyPsc+OixpenIbO6VSuWPHjvb29piYmFmzZjF+wEdERBQV\nFXV1dcnlcpPJVFpa6uHh0dzc3NHRER4eLpfL5XL58uXLy8vL6+rq+l26tAg8ffq0SqWaNm2a\nQqGgt6S0trZ6eXn1m0YjEAh0Ol1qaqparZ46dWpYWFhwcPDRo0eRzaVRyxslEolcLqfnMHL6\n9Ol58+ZZDt3d3Q0Gg0ajoT9NTSZTb2+vh4eHXq9nl2Or2mIzi2pG393c3Dw8PCzTpFKpt7c3\nvZ2IMeYs44x55JojrvZzjQNOL0mSjHHA2W8wGNrb2/fs2UNfcl+7du3KlSsvXLjg4+PDmFOc\nfPpu15o1a9zc3BBCr7766pdffllTU+Pn58c4n27sbP3F+YWrMZxf9DM9tuDmT548mXGNIEyd\nVFVVMcbtxRdfZPR3woQJjPb3c9MSBxcXF1w8Ge1pa2uzvWmCEzJu3DhGpThnGSOJEDIajbZK\ncRWCi5hKpeK6ogduDMIsZ1w54Yy3jEyYMMH6lwGUSmVPT4/A7fcu6EG7nP7ag5d0w1+2+/4t\nuVyu1Wpx23YfEalUKhaLlUqlXeTrdM5/+Yuw3+D/+T/anh71owu3hb2x6+npQYS/mzSI7PsZ\nIfT7iej3ExFCiBK4dM08ZBYO6AcoBg6Px3N2dma51P3ouLi4CASCjo6OR2n0W1p4M2e6qdW/\nOg9Mnmz08FD19CCJRGIymax3fz0iJEmypOkJ/R07iqLef/99uVy+b9++2bNnM37AK5XKrKys\nlpYWNzc3Pp9//vx5Z2fnkJCQmzdv7t6929Iaq9VqegeYn5/fzz//rNVq6fH6+no6i3fu3FEo\nFOvWrUtMTKTPMu+8847lEf3a2lr6D71ef/Xq1YCAgLq6usbGxoyMjBUrVsyZM8dy+sPJ9/f3\n7+npaW5upsdVKlV6evrt27fpw2vXrt26dWvOnDkWv/z9/UUiUV1dnUUOj8cbNWoUuxxrbG3G\nxRnn+8WLF9966y3LU3JarfbevXvPPPMMLua4cVweueaIq/1c44DTi4sDzn6j0UhRlMVmiqLM\nZrPBYMDlFCff19eXIAjLthL6jCCVSnHzcf6y1CSjPTi/cHHDzcetEVyd4OKG8xdnPy4OuHji\n7PHz86P3jdHzf/rpp/feew8nBKcUJxwXTEaluAjgIsZ1RXMyBrecuZY3TimNwTVSPfpd6xGT\ndGzvuAz2dzk2O3f2Bgb+6mLPhx8aJk+25+UfbhC8nkn7KaG7ZYDiOfWM32P3ru4p4plnzFlZ\nvULhPz+wvLzMH388oN9esDtP6BW72trapqamRYsWXb161TLo6+tr/UNN9CNXOTk5r7/+Or0x\nPDo6ms/nT5kyJT8/PycnZ8GCBQaD4fjx4yNGjJgwYQJC6MiRI5mZmUuWLOnt7S0sLKS3ByUm\nJtL7VBBC9A7io0ePyuXyhoYGgUBQUFBAEISLi0tpaSlBEC+88EJTU5PRaKyurg4ODq6trT1+\n/LhGo/nll19mzZrFKN/X13f69Ok7d+5MSEjg8XgnTpxoa2vz8fGhNVZWVgYHB1vvdJFIJHPn\nzi0uLvbw8CAIoqCgYPbs2W5ubm5ubixyLDDajIszzneNRtPT05Odnf3yyy8LhcLS0lJvb++I\niAiSJBljjsvF5cuXGfPINUdc7cflDicHl7vQ0FDGOKjVakb79Xq9RCLJysqKjo5GCJ05c8Zs\nNkdGRuJyipNPkuTMmTN37doVGxsrlUrLy8tJkoyMjOTz+Yzzm5qaGP0lCILRL5w9LHlhBDe/\nsbGRcY0EBgYy1kl4eDhj3JycnHDxYbT/3r17jHFwcnJijKdcLme0Z+rUqS4uLtnZ2UuWLLl/\n//6hQ4eeffZZT09PRiF37tzBKWUUjgsmo1KWCmSM2Lx58zitaE7GsJyWOZU3TqkF9eh39J5z\n5apzpKmnTxSs8V6MeP2vV/1L4eVl/v7/t3fvAVFUbQPAz97ZK8hNEUEUES8oaAoqlBiaaN4p\nzStISGiZqWjeeENNDRUvgRYoaGimCBh+ZlmRVoamAoqJShiBrCJ3FtgbO7vfH9O7bcucgUUI\n3ff5/dPO2dkzzznnOcNxZna7XHf6NO+339jdumlffVXt48PrnG99tJVGPKTG96rwSZpF88Nm\nTo9G26mEhVNXBvQMmD1bNWKE5ssveeXlzP79iTlzlGLxv/TraUY68SGDp/Hll18mJycbFb71\n1luvvvqq/hugCKGKioqDBw/evXvX3t5+woQJ+t9/LywsPHLkSHFxMY/HGzx4cEhICHl77tGj\nR59++mlhYaGdnd38+fN/+eWXadOmubm56Q9heCosLS1NSUkJDAw8fvx4eXm5u7v70qVLyYfB\nv/jii6+//pogiKFDhwYHBycnJxMEERUVhatfpVIlJydfv35doVB4eHiEhYV1796dPOLbb789\nZsyY+fPnG7aUIIjk5OQrV65otVofH5+wsDDyzg6uHn2f0MTcsoFG3Wv0VklJSVJSUmFhIY/H\n8/LyWrx4MfmdO1yfU5bTjGP7xqiN8bejH3DHxfUDLn6pVJqSklJQUKDVat3d3YODg8krhbgx\nxdWvVquTkpJu3LihVCoHDhwYGhpKLuIp96dpL65duHhw7cL1G25/3BzB5Q+u33D9Qxk/TT/g\n+hMXT1VVVUJCwp07dzgcjp+fX3BwMJfLpayE5qC4ynGdSXlQXA/geszUGd32YM6fP4+bzqam\nNyWjG5disZjH49XU1HTS81XP0a1Yyvo1Gk0H3tozRP8b44Y307lcrkQikcvlcnmn3BRGz8+t\nWHqdcSuWfCaE0jO6sAMAAPA/BRZ2JtUPC7uOYn4Lu2f0GTsAAAAAAGAqWNgBAAAAAJgJWNgB\nAAAAAJgJWNgBAAAAAJgJWNgBAAAAAJgJWNgBAAAAAJgJWNgBAAAAAJgJWNgBAAAAAJgJWNgB\nAAAAAJgJWNgBAAAAAJgJWNgBAAAAAJgJWNgBAAAAAJgJWNgBAAAAAJgJWNgBAAAAAJgJWNgB\nAAAAAJgJWNgBAAAAAJgJWNgBAAAAAJgJWNgBAAAAAJgJWNgBAAAAAJgJWNgBAAAAAJgJWNgB\nAAAAAJgJWNgBAAAAAJgJWNgBAAAAAJgJWNgBAAAAAJiJ/8WFXWFh4bRp0zqkqj/++GP16tUb\nNmzokNpotD3m2bNn37p1q+3lXUUfz7/Wh5Sex2RoydTBfdaS4d9BM9Zdm4Q0OjCwLh/0Z7aT\nATAz7K4OoCNpNJrg4OBPP/1ULBaTJXV1dUeOHLl586ZarXZ3dw8JCXFxcTG12uzs7I8++sio\nMCAgYMWKFefOnbO2tn7nnXcM37pz586GDRuOHz9OhlFXV5ecnJyXl6fVaj09PUNDQ21tbWkO\nRxDEZ599lp2drdFovL29lyxZwuFwTI2ZRllZWVJS0v3791ksloeHx5tvvknGgyunkZWV9dVX\nX0ml0v79+0dERDg6OiLT+9ywD3F9VVlZeeTIkfz8fC6X6+XlFRYWJhAIWm2p0UC0Wk6pZVK1\npSEI3zk0ydDyWO1Ohja2MS0tLSUlRb/JYrHOnDnTjnpwaJKBsn8o0UzAVgNoY/xtmcgmHagd\nswlRJQBlYEZMPZapZyRTY8bV35a2/EWntXh0glPzPSJkAv5Aee93tBYO7Y7w3/TTT5xjxyyk\nUqabG3PlSuTm1tUBdSZ2w2/8skNI8SeP56DpMUdtM66rI8K6e5f1ySf8oiKWg4N2zhzVK6+o\nuzqizmUmCzuCIMrKytLS0hoaGgzLY2NjZTJZZGQkj8c7c+bMxo0b4+PjTa180KBB0dHR+k2N\nRrN//35vb2+EUE1Njbu7u6Wlpf5duVy+d+9enU6nL4mJiVEoFG+//TaLxTp16tTWrVv3799P\nc7jk5OTs7Oxly5axWKxPPvkkPj5+5cqVpsaM09zcvGXLFicnp8jISI1Gc+LEiR07dsTGxuLK\naarKyspKSEgIDw+3t7c/ffr01q1bDx48yGQyKfu8W7duuHoM+5Cyr5RK5caNG52cnKKiotRq\n9bFjx3bs2LF161b6lrYcCPrylnBJ1ZaG4DoHlwy4Y7UvGdreRqlUOmLEiClTppCbDAajffXg\n4JIB1z+UldBMQHptj78tE7ntB2rHbMIlQMvAjLTjWKaekUyNGVd/q23RE+cv4T05S762QD/z\npF/UjfqOELi2I8h/U2Iif+NGIfn6+nV04gT67DPO5MnNXRtVJ+FWfCO5uZB8zUJIIk1vcvuP\nos/yro2K0sWLnAULLNX/XcudPctbu1a+Zo28S4PqXGaysMvMzDx37lxz8z+mUHV19a1bt2Ji\nYgYOHIgQioyMXLRo0bVr1/r06YMQunPnTlJS0qNHj/r06bNkyZK+ffsihORy+dGjR3Nycpqa\nmjw8PJYuXWpjY2NlZTV8+HB9tadOnfL39x89evTGjRtv376dm5ubm5u7a9cu8t2DBw9aWlpW\nVFSQm2q1uqCgIDIyctSoUQghBoOxZcuWuro6KysrqVR66NCh+/fva7VaV1fX8PBwFxcXhULx\n3XffrVixYuTIkQihiIiIDz/8MDQ0lKyNMmapVJqQkFBYWNijR4958+bp46QsLy4uLi8v37Nn\nj0gkQgjpdLpt27YplcrS0lLKcgsLC8o4dTpdWlpacHDw+PHjEUI9e/ZMSkqqqqpisViUfT5x\n4kTKeAz7cNu2bZR9dffu3Zqamri4OB6PhxBau3ZtaGhoSUlJ79696+vrExIS8vPzWSyWn5/f\n4sWL2Ww25UDoUZZTdixlUuGSxLAhO3fupOwcKysrXDJQHguXDJaWlrhBx7WRJklefPFFw/Sm\nr4ey7WQ9LZMENwFfeeUVyv6xt7c3aQLijmvqWLdlIiOE2p5suFlmYWGB60DKBDAKjLKxNMei\nHHRTz0g0nUwZM67+Xbt2texkStwn5/SrOhJD0yAqiKwfcQb3kWfBo0fMzZuNbyO8+y7f318h\nELT/n0bPJoZOLbrznlGhoOgjdY+pBN+lKyLC0mjQu++K1f+8Qrdzp2DaNJW7O9FFQXU6M1nY\nzZo1a9asWUVFRatWrdIXarXauXPn9uvXj9zUaDRqtVqr1ZKb8fHxISEhIpEoPT19w4YNiYmJ\nEolk27ZtOp1u5cqVXC43MzMzOjo6JibG8K6fVCr96aef9u3bhxDatm1bdHS0u7v73LlzyXcv\nXbpUVFT0zjvv6J8j4XK5gwYNysrK6tu3L4vFunDhgouLi5WVFUIoNjaWz+evW7eOyWSeOHEi\nPj5+9+7dJSUlSqXSy8uL/Linp6dWq33w4AF51m4ZM5fL3bBhQ+/evaOiomQyWWJiokqlQggp\nlUrK8n79+qWmplpYWGi12vr6+tzcXDc3NwsLC1w5Ls6ysjKpVDpmzBidTieTyWxtbd9//32E\nUGVlJWWf4+Ix6kPKvmpqamKz2Vwul6xTJBIxGIySkhJnZ+eoqCgbG5tNmzY9fvw4OTlZIBDM\nnz+fciBwA0STDJRJRcbcMkkMG/Lw4UPKzsE1EJfAuGQYNGgQZWfi2ojrfDKfb968mZGRoVKp\nBgwY8Oabb+pviVL2FW6CUCYJbgLikoemfsoJiEtOU8e6LRNZp9O1PdloZhOugZQJYBQYZWNx\nx8INuqlnJJpyyphx9bfsZITQ1atXd+zYod/cvHnzkCFDmMXX9SWz9qJbpeTLy0jojf55RfmZ\n0tiIDFYPGxB6EyFUX88oLu7m59fxCzsmk6nT6dryREqH69atG6M2h9lcTW5+/gv6Txr5Uo14\nkxGnPc9sdB61GpWX67eCENpJvsrLsxw16q9xIe8VkLOgk3T4eNHfTDCThR0lOzs7/UlEpVLt\n27ePz+f7+fk9fvwYIRQSEuLj44MQcnNzCwsLy8rKGjx4cEFBwbFjx8hV1OrVq8PCwrKzs8nr\nCgghnU4XHx8/b948yuecnjx5cujQoejoaKP7WevWrVu2bNnSpUsRQgKBgLwXrNPp/Pz8xowZ\n06NHD4TQxIkTDx8+jBCqra1ls9lC4V/X89lstkgkqq2tJUNqGbNAIGhubl6/fj2fz0cI8Xg8\n8qbVjz/+SFnOZDLJPzAbNmwoKCgQiUQxMTE05bg4q6urWSzWxYsXT506pVAorK2tw8PDx4wZ\ng+tzXDxGKPtq6NChBEEcO3YsKChIpVIdPXpUp9PV1dXl5OSUl5fv2LFDKBQOGDBApVLdu3eP\nZiBw5ZQdO3PmTMqkKiwspE8Sms7BNRAHlww0nUnZRtz+MpmsoaGBwWBERkYSBHHq1KlNmzYd\nOHBAIBBQ1oNre0BAAGWS4JLhwYMHlP3Tat8aTUBccj7lWFN+1qRkw82mtiQPDq6xuGPRJIlJ\nZySaTsZpe5JrNBrD27gEQTCZTAb6+y9WgxLVNv13o7mu1V7qQv+8JqTUv9LpGExmp6xHGQxG\ny/T+FzCZTGQwRiqNwRipmhBT8++HRIP4x1U5faD/GBeyG3GPgnSUjh0v/SUqSua8sCPpdLqL\nFy8eP37cyspq+/btYrGYXNh5eHiQO3C53IEDB5aVlUkkEoIgFi5cqP8sQRDV1dX6zYsXL8rl\ncl9f35ZH0Wq1e/bsmT59upubW1FRkb5cqVRu2rTphRdeCAoKYjKZZ8+ejYqK2rVrl0gkmj59\nel5e3uXLl8vKynJycvTRthx74r+52TJmPp/fv39/8tyNEBoyZAj58YcPH1KW623cuFGpVF64\ncGH9+vWHDh3S79mynDJOmUxGEMT9+/fj4uJEItH58+d37969f/9+Jycnyj5vNR6avrK3t3//\n/fcPHjyYlpbG4XBmzZolEokkEgl50U6/7gkMDAwMDMQNBK4c17Eth5j08OFD+iSh6Rw7Oztc\nMlAeC5cMuM7EtRG3v1AoPHLkiLW1Nbnp6uoaHBx8/fr1F198EVcPZdsZDAZlkuhbYZQMuP5p\ntW+NJiDuuE8z1rjPmpRsekazqS3Jg0PfyZTHohx0U89IrR7XCE39LXf28/P74Ycf9Jv19fXV\n1dU8/jD9NZ/v1v/1otlyZL3P+bZ0VNuJxWKlUtnyWYv2efiQNXy48ZPEQqHOxaWmurrjr9gJ\nhUKNRmN4qb4D0X+Zprq6mqF1tOZYMprrEUKhY1Ho2L/eqvXNIoT9OjYYJpMpkUjq6tq5rG9u\nRkOHWldVGS/aPD3rq6v/WoNaWlpyOJyampqneZ6YnkAgIAiiA8eLxWLRPLlu5gu7+vr6nTt3\nVlRUBAcHv/TSS4Z/Jo3+ZHI4HIFAIBaLP//8c1xtZ8+enThxIu4tmUw2atQoqVRKPmrz6NEj\ne3v7goKCioqKffv2sVgshNCyZcsWL1587do1X1/fqKgouVzu4+Pj5eXl7u5OHtfa2rq5uVmh\nUJBnZIIgGhsbyadwKGM2+keGfgdceUlJSXV19fDhw8VisVgsnj9/fmZm5u3bt7t3705Z7unp\nSRkn+QR0REQEmVuvvfbaN998k5eX5+TkRNnnuHgM5eTkUPbVyy+/PGLEiOTk5NraWrFYTBBE\namqqjY3NkydPyD3bMhA//vgjZTmuYylHGSHUapLQdI6NjQ2ugZT14JLBaC2iDx7Xdlzns1gs\nfWohhIRCYffu3auqqnD14NquUqkokwRhJiCuf+zs7EyagLjj4uI3aj7JaKxxn9VoNG1PNplM\nRjmb2pI8OLjG4mY0btBxswx3RqIZXEo0s7itLe0xg/foFLcqS1+iY/GbBtN9HeRZ4OREbNgg\n3779H/fadu9WikTm9oAdQkjHtGgcuEucH25YKO+7usNXdU+Pw0GxsY3BwRLDwrffVgwa9Gxd\nWexY5ryw0+l0mzdvtre3/+CDD/RPaOnl5+eTj/eq1eq7d+/OnTvX2dm5oaGBfCofISSTyeLi\n4hYtWkRehbp3715paam/vz/lsR4/fiyVSg2/yb9mzZqAgAAvLy+dTqf/d4BOp9Nqtc3Nzbdv\n3y4qKvrss8/I3wj49ttvyR2cnZ15PN7t27fJL/0VFBQwmcy+fftWVlZSxsxms7Oysshnpcn9\nyWM5OTlRlhcXFyclJR09epQ87crlcrVazWazceW4OB0dHRkMRmNjI/m3mfy3iFAoxPU5Lh5D\nGo2Gsq/q6+sTExPnzp3bq1cvhNAvv/wikUgGDhzY0NBw5swZfZ03btw4e/asg4MD5UBwuVzK\n8kmTJlF2LOUokwNEkyT0nYNrIM2xKJOhpqaGsjNxSUg+89Ry/+vXr6ekpJBX0RBCSqWysrKy\nV69eubm5lPW89tprlG1/8uQJZZLgkgHXP6ZOQFxy4vqhLWON++zIkSPbnmyenp6Us8nR0bHV\n5MHBNRY3c3EzDpeEuPpx5TimJjkVhswrhf8wiV/9HVNTpxJ6yPusJAR9TKmha6xcKe/fX5OS\nYiGVstzc0OrVrGHD1B10QfCZo+oxU2vRU/gwgS1/QPB6yh3mqrp3zA+CdrjJk9Vff1134AD/\n99/ZDg7aN95QzprVKVc6nx3mvLDLz89/8ODB9OnT7969qy8knw3ncDiHDx9mMBiWlpapqakM\nBmPcuHEWFhajR4/evXt3eHg4k8k8ffr0kydPevbsSX4wOzvb3d0d9/Dj0qVLyWdKEELk08Sf\nf/65WCxuaGgQCAS7du0KCgpCCJ07d06r1Xp7ez969Eij0eTm5rq7u+fn5588eVKhUPz5558u\nLi7jx48/cuSIjY0Ng8E4fPjw2LFju3XrVllZSRkzg8E4fvx4TEzMnDlzGhsbk5KSyPP4Sy+9\nRFn+wgsvHDp0KC4ubsqUKc3NzSdPnnRwcBg8eLBaraYsLyoqwsXp6+u7Z8+ekJAQoVCYmZnJ\nYrG8vb1xfY6Lx9Dw4cMp+4r8EmhcXNyCBQvIx8CDgoLYbLaPj4+lpWVsbOycOXOqqqpSUlKG\nDRu2ZMkSyoEgx6hleWFhIWXH4pLK0dGRJklItra2lJ2DEKJsIO5YAoGAMhlwnYlLQpVKRbm/\nh4dHQ0NDbGzsjBkzuFxuampq9+7dR4wY4ePjg+tDyrbLZDLKJKmvr6dMBlz/iMVikyYgn8+n\nPC6uH9oy1rjPEgTR9mRraGignE08Hq/V5MHBNRY3oxFClIOOm2W4MxLuuLgfp8TV35Y2/o3J\nVfReyvZYy+Pxmmpq6B8neqa8+qr61VfVCCGhUMjn8+vruzqgztRs5SO3f1EikajkcpX8mf71\nkBEjNEeOtOlXq8wDi/IZ9udUTU3NhQsXgoKCyN/FuHr1al5e3pUrVy4a6NGjh6OjY0VFxRtv\nvHHixAnyNzPXr19PfiPG29u7rKwsPT39hx9+cHBwWLVqlf5XNw8fPvzCCy8MHTrU8IiXLl2y\ntbUdMmQILgwejzdy5Mhbt26lp6dfunRJIpGsWrWqR48e5I2h1NTUb775RqfTrV69+smTJzdv\n3hw7duywYcPKy8tPnDhx6dIlLy+viIgIFovV1NREGTO5vrl+/Xp6evrvv/++cOFCrVbr4eFh\nb29PWe7g4DBkyJDLly9nZGRcvXrV0dFx5cqVlpaWPB6PspwmzpEjR5aWlp45c+b777+3srKK\njIy0tbXF9fnAgQMp47GxsdH3Ia6vEELDhw8nv7xZXFw8bdq0GTNmIISYTObo0aNzcnJSU1Nz\nc3N9fHyCg4MN75cZ5QNlOa5jaSrBJYlhMlB2Dk0DcceiTAbcoBveVzWsCrd/9+7dhw0blpub\nm5mZefXqVRcXl1WrVhn908UoJMq245KEy+VSJkP//v0p+8fUCUiTnKaOdasT2aRkw80m+gZS\nJoA+MFxjJ0yYQHks3KA7ODiYdEZ67bXX6DvZKGaaJKfsZEMqlcpwDUemrkKh6KQnn3g8nkaj\n6aRVI5fL5XA4Ri3q2Pq1Wi1BdMoPdtB/eVNusIZjsVg8Hq+5ubmjHlVsicFg8Hg8pVLZ+q7t\nZWFhwWKxFApF5x2Cw+HodLoOHC8mk6l/grYlRuc9LQgAAAC0UX19veH6QCwW83i8mk67Ytex\nX54w8t8rdvWdV39XfXmiqqpK/5rL5UokErlcLu+0K3ZP+eWJtiC/PFFdXW02X574X/x/xQIA\nAAAAmCVY2AEAAAAAmAlY2AEAAAAAmAlY2AEAAAAAmAlY2AEAAAAAmAlY2AEAAAAAmAlY2AEA\nAAAAmAlY2AEAAAAAmAlY2AEAAAAAmAlY2AEAAAAAmAlY2AEAAAAAmAlY2AEAAAAAmAlY2AEA\nAAAAmAlY2AEAAAAAmAlY2AEAAAAAmAlY2AEAAAAAmAlY2AEAAAAAmAlY2AEAAAAAmAlY2AEA\nAAAAmAlY2AEAAAAAmAlY2AEAAAAAmAlY2AEAAAAAmAlY2AEAAAAAmAnzWdj98ccfq1ev3rBh\nw9NXNXv27Fu3bj19Pf9+5YBUWFg4bdq0ro6iw7QvZzpwRrTbsxADpa7KkLYfF04UAID2YXd1\nACYjCOKzzz7Lzs7WaDTe3t5LlizhcDgIoXPnzllbW7/zzjsIobS0tJSUFP1HWCzWmTNnaMpN\nVVdXd+TIkZs3b6rVand395CQEBcXl/Y1R6PRBAcHf/rpp2Kx2NTPlpWVJSUl3b9/n8VieUbG\nqIkAACAASURBVHh4vPnmm7a2tjTlrTb/zp07GzZsOH78OBkMrpmVlZVHjhzJz8/ncrleXl5h\nYWECgSA7O/ujjz4yijAgIGDFihWUwdfV1SUnJ+fl5Wm1Wk9Pz9DQUPogO2rscI1th6ysrK++\n+koqlfbv3z8iIsLR0RG1NzfaHgzlQSkZzghcSuBmEw5N6ygDM4wBhzKdaPanj7nlhDK1jTTx\nULbRpOkwadIkmkNTMnVGmHpawJXj2kvD1P1psBrvsR79hHRNXI6b0m4SYrDaXdVz4fFj5rlz\nvPJyZr9+xIwZKj5f19URtY5BNHFKv0AaKZttz7QO1HLtuzqiznLxIufaNQ6Xi/z8mkeObO7q\ncFr3/C3skpOTs7Ozly1bxmKxPvnkk/j4+JUrVyKEampq3N3dLS0tEUJSqXTEiBFTpkwhP8Jg\nMMgXuHJTxcbGymSyyMhIHo935syZjRs3xsfHd+vWzaRKCIIoKytLS0traGhoRwzNzc1btmxx\ncnKKjIzUaDQnTpzYsWNHbGwsrhy11ny5XL53716d7u8TCmUz+Xz+xo0bnZycoqKi1Gr1sWPH\nduzYsXXr1kGDBkVHR+s/q9Fo9u/f7+3tjYs/JiZGoVC8/fbbLBbr1KlTW7du3b9/P02QHTV2\nuMaaKisrKyEhITw83N7e/vTp01u3bj148CCTyWxHbrQ9GNxBKXfWzwialMDNJhxc63CBGc5K\nSkqlkjKdaGLAxYybUCa1kSYeyjaq1eoOmQ40TJoRpp4WaHLDpGRrx/40+H8eFBZtQ1o1QkiE\nkIXEs35Eho4taUdVz4Wvv+YuXSpuavprZHfuFKSl1bu6El0bFT1W4z3L3NlM5WOEEBehbuzo\nhqGH1LYBXR1XByMItHix5OuvufqS0FBlTExjF4bUFs/Zwk6hUHz33XcrVqwYOXIkQigiIuLD\nDz8MDQ3duXPn7du3c3Nzc3Nzd+3aJZVKX3zxxeHDhxt9nKY8ISGhsLCwR48e8+bN05fL5fKj\nR4/m5OQ0NTV5eHgsXbrUxsamurr61q1bMTExAwcORAhFRkYuWrTo2rVrEydOrK+vT0hIyM/P\nZ7FYfn5+ixcvZrPZuMozMzPPnTvX3Gy8/KespGVhcXFxeXn5nj17RCIRQkin023btk2pVJaW\nllKWW1hY4JpPOnjwoKWlZUVFBbmJa6ZEIqmpqYmLi+PxeAihtWvXhoaGlpSU9O7d27DmU6dO\n+fv7jx49mrJFWq22oKAgMjJy1KhRCCEGg7Fly5a6ujorKytTx45yjMi37ty5k5SU9OjRoz59\n+ixZsqRv3764xtLUI5VKDx06dP/+fa1W6+rqGh4e7uLiotPp0tLSgoODx48fjxDq2bNnUlJS\nVVUVi8UyKTdwwVDmDO6g9vb2LSv/4IMP9DNiyZIllCmh0+koZ5OlpaVJmf/KK69QBrZ//37D\nWUlZZ15eHi6dKPfHnQEsLS0pJxRuf1yG4OJxdnambOODBw9Mmg6FhYW4zMSdKEyaEaaeFnDl\nPB4Pl2yU42JScuoznxK7PldY+ME/SmS3hPc2NnrE0Xzq+VVZyVy+/O9VHUKorIwZESH+7ru6\nLoyqNTpx/lvkqo7E0DSIbi+r9b2i41p3YVgd7sABvuGqDiGUnGzh49M8a5aqq0Jqi+dsYVdS\nUqJUKr28vMhNT09PrVb74MGDbdu2RUdHu7u7z507FyEklUpv3ryZkZGhUqkGDBjw5ptvkjcF\nKMuVSuWGDRt69+4dFRUlk8kSExNVqr/GbNu2bTqdbuXKlVwuNzMzMzo6OiYmRqvVzp07t1+/\nfuQ+Go1GrVZrtVqdThcVFWVjY7Np06bHjx8nJycLBIKgoCBc5bNmzZo1a1ZRUdGqVav0DaSs\nZN68eS0L586dm5qaamFhodVq6+vrc3Nz3dzcLCws+vXrR1lO0y0IoUuXLhUVFb3zzjv6x6Fw\nzWxqamKz2VzuX7kuEokYDAb5l0zfCqlU+tNPP+3btw/Xovnz5w8aNCgrK6tv374sFuvChQsu\nLi5WVlamjh1ujMgw4uPjQ0JCRCJRenr6hg0bEhMTJRIJZWNx9QgEgtjYWD6fv27dOiaTeeLE\nifj4+N27d5eVlUml0jFjxuh0OplMZmtr+/777yOEKisr254b8+fPpwwGl5C4g1JWbjgjtFot\nZUrcu3ePcjYNHz7cpMzHBWY0KynrpEknyv1LS0txMVNOKNwZg1zHtMwQXDxMJpOyjfn5+SZN\nB1xmcrlc3InCpBmBm/6mlj98+JCyvbhxrK6ubntykpmPECosLExLS9N3y+uvv+7k5MQu/lpf\n8tFZVFyJEEKIkUb0FqCnu05vhMlk6nS6p7lsT4PBYDCZTHLu0+/5+++M+nr9dc1FCPkihG7e\nZJeXi/v1w36WzWaz2Wz6hwo6iUgkYsgK2I0F5OaPd9GJbPJljTYjQifsi/9oO5E92eHVGtbP\nYDAIguIS6Zkz+mcALBDaT746e1a4aJFpPc9ms3U63b82Xs/Zwq62tpbNZguFQnKTzWaLRKLa\n2lrDfWQyWUNDA4PBiIyMJAji1KlTmzZtOnDggEajoSz/+eefm5ub169fz+fzEUI8Ho+8h1JY\nWFhQUHDs2DHyb8Dq1avDwsKys7PHjx9P/qFCCKlUqn379vH5fD8/v5ycnPLy8h07dgiFwgED\nBqhUqnv37v3444+UleNQVkJZyGQyyeXahg0bCgoKRCIRuaDBleO6RSAQPHny5NChQ9HR0Yb3\nN+3s7CibqVAoCII4duxYUFCQSqU6evSoTqerq/v7H5c6nS4+Pn7evHlkElMGjxBat27dsmXL\nli5dihASCATx8fHtGLuysjLKMXJ2dkYIhYSE+Pj4IITc3NzCwsKysrJmzpxJ2VjcWAcEBPj5\n+Y0ZM6ZHjx4IoYkTJx4+fBghVF1dzWKxLl68eOrUKYVCYW1tHR4ePmbMGFyn4TqBMhhczuAO\niqtcD5cSuNlkauY/ePCAMjDDGHB1Dh06lDKdcPsLhcJWzwCGcG0kq22ZIb6+vpTx4DofFz9u\nOpBaHlcgEFAOuqkzQiAQmHRawJXj2osbF1tb23Ykp1QqzcjI0G+OHz/ezc0N6Zr0JV/moF+L\nyJcahJJxo2xGvMmFHUJIoeBZWLSyd5cs7CwsLFCjUr9ZIEWJP+i3LiJ08d8P6V8h0S/sZLK/\nZo2pOnC86Fe6z9nCTqfTtXy4ymihLRQKjxw5Ym1tTe7p6uoaHBx8/fp1Pz8/yvKHDx/279+f\nPJ8ihIYMGULu8PDhQ4IgFi5caHig6upqfSQXL148fvy4lZXV9u3bxWIxeb9G/yckMDAwMDDw\n8OHDlJXjUFaSnp7eslD/kY0bNyqVygsXLqxfv/7QoUP6YxmV47rlxRdf3LNnz/Tp093c3IqK\nilp2uFEzxWLx+++/f/DgwbS0NA6HM2vWLJFIRF4JI128eFEul/v6+tK0SKlUbtq06YUXXggK\nCmIymWfPno2Kitq1a5epY6fRaCjHiFzYeXh4kIVcLnfgwIFlZWVarZaysbixZjAY06dPz8vL\nu3z5cllZWU5ODvmuTCYjCOL+/ftxcXEikej8+fO7d+/ev3+/k5NT23ODJhjKnMEdlLJyyuwy\nSgncbDI18+l7g76H7e3tKdMJt79AIGj1DGCI/ozRMkNw8dC00aTpgDsun8+nHHRTZ8TYsWPJ\nGtp4WsCV49qLGxcul9uO5Bw1alRmZqZ+k8fj1dbW8jh99N+dSX8PqZoRQkjLd2rw/nvPDiEQ\nCNRqtUaj6dhqSRYWFjwer6mpqdX6r11jR0QI/7tlR/6Hy0X29nW1tdgrdnw+nyAItVrdMeH+\nE/0zwbW1tQyiuxWDjXQahNB8XzRx6F9vNQ07opF4dmwwDAZDKBQ2NnbiY20ikYjFYslkspaX\nV1esEP78M7lM+vtpUTc3VW2t3KRDkBfFO3C8mEwmzbPLz9nCztraurm5WaFQkOcjgiAaGxv1\nz1SRWCyWYYlQKOzevTv5/BNludHjvfo/AwKBQCwWf/755y3DqK+v37lzZ0VFRXBw8EsvvUR+\nRKPRsFjGX93CVY5DWQllYUlJSXV19fDhw8nF1vz58zMzM2/fvt29e3fKcm9vb8rmnz17ViaT\njRo1SiqVko95PXr0yN7evlu3bpTNRAiNGDEiOTm5trZWLBYTBJGammpY89mzZydOnEgffE5O\nTkVFxb59+8i3li1btnjx4mvXrr388ssmjV3Pnj0px4h8ksmotzkcDq6xuLFWqVRRUVFyudzH\nx8fLy8vd3Z3ch5xRERER5Bnwtdde++abb/Ly8pycnNqeG7hgcDmDOyhl5YZwqYKbTWq12qTM\np+kN/QdpZhNlOjU2NlLuf+/evVbPAIbozxgtMwQXD/nvY8o2mjQdcMfFDbqpZzNTTwu4ctyY\n2tnZUY4L+csspiYnn883/OZsfX19c3Ozoud8Xmkyq6kIIeT43wWGzHOrVXcnykraTSwWK5XK\nlk85dwihUMjn88kW0e/ZqxdKTZX88MM/HuRatUouFGrw/2BBOp1Oq9XS/JOm8xAEgViWcpfl\nguK9CCEJH0n4CCGktp8sGzylww/HZDIlEonhVfAOZ2lpyeFwqqurWy7stmxhT5pkqVT+PWG7\nddO9+24TQZh2a/hfHq/n7HfsnJ2deTze7du3yc2CggImk2n4UDxC6Pr168uXL9d/M06pVFZW\nVvbq1QtX7uTk9PvvvyuVSn2d5Og6Ozs3NDSUlJSQ5TKZbNu2bQ8fPtTpdJs3bxaLxQcOHBg7\ndqz+FOzk5EQ+0ENu3rhx4z//+Q+uchxcJS0Li4uL9+7dq08UuVyuVqvZbDauHNf8x48fS6XS\nd955Z+nSpeQPNKxZsyYlJQXXzPr6+l27dpWVlXXr1o3NZl+9elUikZBP0yOE7t27V1pa6u/v\nT98ijUZj+HQLmfTNzc2mjh1ujMjN/Px88oVarb57927v3r1xjcXVc/v27aKioh07dixcuNDf\n31//J8rR0ZHBYOj/EUkQhEqlEgqFJuUGLhhczuAOSlm5YVLhUgI3m0zNfFxghjHg6sSlE27/\ntpwBjI5Ls3/LDMHFg2ujqdMBd1zcoJs6I0w9LeDKce3FjUu7k7MlHUsgeyFV3f1VxOQihLSC\nPg1DE9XdX6X/1POLwUCJiQ0hIUqBQIcQsrXVRkc3vfeeaReE/n3yfmub3DbpuDYIIcQWKZzC\nGjziuzqojufhofniC9mQIRoGA7FYaPTo5vT0ekfHTnzgr0M8Z1fsBALB+PHjjxw5YmNjw2Aw\nDh8+PHbsWKPrxh4eHg0NDbGxsTNmzOByuampqd27dx8xYoRaraYs12g0x48fj4mJmTNnTmNj\nY1JSEnn73NHRcfTo0bt37w4PD2cymadPn37y5EnPnj3z8/MfPHgwffr0u3fv6g/q6Ojo4+Nj\naWkZGxs7Z86cqqqqlJSUYcOGvfTSS5SV41BWQln4wgsvHDp0KC4ubsqUKc3NzSdPnnRwcBg8\neLBaraYs12q1lM338fEhH3RDCJEPnn/++edisfjWrVuUzbS1tZVKpXFxcQsWLCCf8g4KCtJ/\nzS07O9vd3d3wd8gogx8+fLhAINi1a1dQUBBC6Ny5c1qt1tvb28LCwqSxY7FYlGP04MEDDodz\n+PBhBoNhaWmZmprKYDDGjRtnYWFB2ViEEGU9MplMo9Hk5ua6u7vn5+efPHlSoVD8+eefLi4u\nvr6+e/bsCQkJEQqFmZmZLBbL29vbpNxYsmQJZTAqlYoyZ2xtbSkPKhAIWlZumFS4VOHxeJSz\nqVu3biZlPi4wwxhws4nFYlGmE83+rZ4BDOHOGJWVlbgMoYwH10axWGzSdEAIUR6XwWBQDrqp\nZzO5XG7SaQFXzuPxcO3FjUv7kpMSYeEk8zwqFlrw2ERdA9GpD84/Cywtdbt2NcbENNbXM7p1\new5+wQ4hhBhsRZ8VhPsaCa9ZTljI5YquDqiz+Pk1//BDXVMTg81GPN7zMTqMTvpOUOchCCI5\nOfnKlStardbHxycsLIy8gWL4/buSkpKkpKTCwkIej+fl5bV48WLyG5e48kePHn366aeFhYV2\ndnbz58//5Zdfpk2b5ubmplKpkpOTr1+/rlAoPDw8wsLCunfv/uWXXyYnGz/G+9Zbb7366qtV\nVVUJCQl37tzhcDh+fn7BwcFcLhdXOflBo+UFQoiyEsrCwsLCI0eOFBcX83i8wYMHh4SE2Nvb\nI4Rw5bjm6xkGQ9PMioqKgwcP3r17197efsKECYa/pP/222+PGTNG/603mhZJpdKUlJSCggKt\nVuvu7h4cHEx+kdDUsaMco9LS0pSUlMDAwOPHj5eXl7u7uy9dupT8AgRlY3H1IIS++OKLr7/+\nmiCIoUOHBgcHJycnEwRB/mhZUlLSjRs3lErlwIEDQ0NDe/bsaWpu4ILB5QzlQXE9bDgjcCmB\nm02mZj4uMMMYcD2MSyfc/riYcROKcn+aDMHFg2ujSdOB5ri4QTd1Rph6WsCV49qLGxeTkhNR\nMbpxKRaLeTxeTU1NJy3snpFbse2uX6PR6L863bH0v1BNqaqqSv+ay+VKJBK5XC6Xd9Ylxq69\nFdtRBAIBeRm7oypksVg0/6B9/hZ2AAAAzA8s7EyqHxZ2HcX8FnbP2TN2AAAAAAAABxZ2AAAA\nAABmAhZ2AAAAAABmAhZ2AAAAAABmAhZ2AAAAAABmAhZ2AAAAAABmAhZ2AAAAAABmAhZ2AAAA\nAABmAhZ2AAAAAABmAhZ2AAAAAABmAhZ2AAAAAABmAhZ2AAAAAABmAhZ2AAAAAABmAhZ2AAAA\nAABmgqHT6bo6BgAAAOAfMjIy7t27t3z5crFY3NWxmCwrK+vXX39duHChk5NTV8fSiX7//ffT\np0+PHTvW19e3q2Npv88//7ykpGTNmjUcDqerY+kYcMUOAADAM+fq1asZGRkKhaKrA2mP3377\nLSMjo7q6uqsD6VyPHz/OyMi4f/9+VwfyVC5fvpyRkUEQRFcH0mFgYQcAAAAAYCZgYQcAAAAA\nYCZgYQcAAAAAYCbgyxMAAAAAAGYCrtgBAAAAAJgJWNgBAAAAAJgJWNgBAAAAAJgJWNgBAAAA\nAJgJdlcHAAAAACCEkEajCQ4O/vTTTw3/bxNZWVlfffWVVCrt379/RESEo6NjF0ZIwyj47Ozs\njz76yGifgICAFStWdEV0Hem5HiaSeQ8WLOwAAAB0MYIgysrK0tLSGhoaDMuzsrISEhLCw8Pt\n7e1Pnz69devWgwcPMpnP1r0myuAHDRoUHR2t39RoNPv37/f29u6C+DrOcz1MpP+FwYKFHQAA\ngC6WmZl57ty55uZmw0KdTpeWlhYcHDx+/HiEUM+ePZOSkqqqquzt7bsoTGqUwVtZWQ0fPly/\neerUKX9//9GjR//r0XWk53qYSP8Tg6UDAAAAngG///771KlTZTIZuVlaWjp16tSamhqtVltX\nV9e1sbXKKHhDZWVly5YtU6vV/35UneG5HiaSeQ8WXLEDAADwLKqurmaxWBcvXjx16pRCobC2\ntg4PDx8zZkxXx2UanU4XHx8/b948DofT1bF0CvMYJpJ5DNazeAscAAAAkMlkBEHcv38/Li7u\n5MmTU6ZM2b1798OHD7s6LtNcvHhRLpf7+vp2dSCdxTyGiWQegwULOwAAAM8iS0tLhFBERIS9\nvb1AIHjttdesra3z8vK6Oi7TnD17duLEiV0dRScyj2EimcdgwcIOAADAs8jR0ZHBYDQ2NpKb\nBEGoVCqhUNi1UZnk3r17paWl/v7+XR1IJzKDYSKZzWDBM3YAAACeRba2tr6+vnv27AkJCREK\nhZmZmSwW6/n6EYrs7Gx3d3eBQNDVgXQiMxgmktkMFizsAAAAPKPee++9pKSkjz/+WKlUDhw4\ncPv27YY/ivvsy8nJeU6/RmCS532YSGYzWAydTtfVMQAAAAAAgA4Az9gBAAAAAJgJWNgBAAAA\nAJgJWNgBAAAAAJgJWNgBAAAAAJgJWNgBAAAAAJgJWNgBAAAAAJgJWNgBAAAAAJgJWNgBAAAA\nAJgJWNgBAAAAAJgJWNgBAAD4y+LFixl4bm5uXR1gJyIIgsFgbN68uasDAX+bNGnSyJEjuzqK\n5wz8v2IBAAD8ZerUqb169SJfl5WVHT16dOzYsS+++CJZYm1tjRBycHAoLy/v2v8dZWxsbGRk\nZFVVlY2NTReGQePpe+lZ6OdnHHQRJVjYAQAA+MusWbNmzZpFvv7111+PHj06YcKEjRs3Gu5j\nZ2fXFaE9Z56+l6CfWwVdRAkWdgAAAEyQn5/f1SE8B56+l56Lfi4vLy8tLfX29u6Soz8XXfTv\ng2fsAAAAmMDwsaepU6fOnDkzJyfnlVde6dat24gRIzIzM5ubm1etWuXm5mZpaTllyhSpVKr/\nbHFx8Zw5c1xcXCwtLceOHXv+/HmaA504ccLb29vKykoikQwbNuzw4cNk+bhx4yIjIxFCtra2\nCxcubPnBhoaGDRs2uLm5CQQCV1fXNWvWNDU1kW8NGzZs6tSphjtPnTp1yJAhRscdM2aMRCIZ\nOXLkJ598Yrhn2xtr2Es08dC8ZfR42Y0bNyZPntyjRw8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+ "text/plain": [ + "plot without title" + ] + }, + "metadata": { + "image/png": { + "height": 420, + "width": 420 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "ggplot(\n", + " congestions[\n", + " mempoolBlocks[!is.na(`Region`) & `Slot` >= bauSlot], \n", + " on=\"Tx hash\", \n", + " nomatch=0\n", + " ][\n", + " !is.na(`Tx logged`) & as.character(`Submission time`) > '2025-11-26 14:12:00', \n", + " .(`Region`, `Tx hash`, `Submission time`, `Tx logged`)\n", + " ],\n", + " aes(x=`Submission time`, y=`Tx hash`)\n", + ") +\n", + " geom_point(color=\"orange\") +\n", + " geom_point(aes(x=`Tx logged`, y=`Tx hash`), color=\"blue\") +\n", + " geom_segment(aes(xend=`Tx logged`, yend=`Tx hash`), color=\"black\") +\n", + " facet_grid(. ~ `Region`, scales=\"free\") +\n", + " xlab(\"Time at submission vs reaching mempool [s]\") +\n", + " ggtitle(\"Mempool diffusion during congestion\")" + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "id": "b72eecde-43ca-48f0-8c59-fb910105fc03", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "ggsave(\"congestion.png\", units=\"in\", dpi=150, width=8, height=6)" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "id": "204d5c52-90e2-41c6-b3a4-5d1c469b8abe", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "ggsave(\"congestion.svg\", units=\"in\", dpi=150, width=8, height=6)" + ] + }, + { + "cell_type": "markdown", + "id": "63f3cb98-898e-4f12-b556-db3ed2a74bc2", + "metadata": {}, + "source": [ + "The previous plot shows that only two nodes ever received the transactions." + ] + }, + { + "cell_type": "markdown", + "id": "7cc8145c-1727-403a-a8df-70f21cb79a30", + "metadata": {}, + "source": [ + "## Mapping mempool connectivity" + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "id": "16fdf181-d713-4fbb-ba0a-41225b5a0ee2", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "text/plain": [ + " Region Tx logged \n", + " ap-northeast-1: 368515 Min. :2025-11-19 22:27:59.00 \n", + " eu-central-1 :1445137 1st Qu.:2025-11-22 17:36:50.00 \n", + " us-east-2 : 591678 Median :2025-11-24 00:51:10.00 \n", + " Mean :2025-11-23 22:29:25.00 \n", + " 3rd Qu.:2025-11-25 06:22:40.00 \n", + " Max. :2025-11-26 15:01:21.00 \n", + " \n", + " Local host Local port Remote host Remote port \n", + " 18.176.178.121: 368515 3001:2405330 Length:2405330 Length:2405330 \n", + " 18.218.69.112 : 591678 Class :character Class :character \n", + " 52.28.55.26 :1445137 Mode :character Mode :character \n", + " \n", + " \n", + " \n", + " \n", + " Tx hash \n", + " 99612da4e219eb7c88321876a884b79b4445c6f6e950150b38d46a9e2f4e3ba1: 70 \n", + " eb212df4c5baf475778298dc2464b2ecfdcd5abb1ced60ad1a33c9cb1d0e7aff: 69 \n", + " 116721db105eed3dfd6e0ff19619bfe678c84aa59d7cc4cc896ff40514263ea8: 65 \n", + " c61ddfc565337d358157a226ce48ccaf60f0a78f52d38937eeccc5f67b24e3a7: 64 \n", + " f82c65fe3add6c9bc243fc49fc5be2dce043399aa35b8e236c1995816fddc005: 64 \n", + " d0d4235a36aa799108536e62ec7a111a2e659085cf17723b7ce24f1cae06da45: 63 \n", + " (Other) :2404935 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "outbounds <- fread(\"outbounds.tsv.gz\", stringsAsFactors=TRUE)\n", + "colnames(outbounds) <- c(\"Region\", \"Tx logged\", \"Local\", \"Remote\", \"Tx hash\")\n", + "outbounds <- outbounds[, .(\n", + " `Region`, \n", + " `Tx logged`, \n", + " `Local host`=sub(\":.*$\", \"\",`Local`)%>%as.factor, \n", + " `Local port`=sub(\".*:\", \"\", `Local`)%>%as.factor,\n", + " `Remote host`=sub(\":.*$\", \"\",`Remote`%>%as.factor), \n", + " `Remote port`=sub(\".*:\", \"\", `Remote`%>%as.factor),\n", + " `Tx hash`\n", + ")]\n", + "outbounds %>% summary" + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "id": "07b24df7-d1f6-4973-8032-4d114534f564", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "text/plain": [ + " Region Local host Remote host Tx count \n", + " ap-northeast-1:327 18.176.178.121:327 Length:1169 Min. : 1 \n", + " eu-central-1 :531 18.218.69.112 :311 Class :character 1st Qu.: 125 \n", + " us-east-2 :311 52.28.55.26 :531 Mode :character Median : 662 \n", + " Mean : 2058 \n", + " 3rd Qu.: 2082 \n", + " Max. :38075 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "connectivity <- outbounds[, .(`Tx count`=.N), .(`Region`, `Local host`, `Remote host`)]\n", + "connectivity %>% summary" + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "id": "3ef72093-e037-4069-ad25-723b5a568e41", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "text/plain": [ + " Remote Longitude [deg] Latitude [deg] \n", + " 100.36.30.173 : 1 Min. :-123.767 Min. :-38.73 \n", + " 103.147.114.194: 1 1st Qu.: -73.968 1st Qu.: 37.75 \n", + " 103.73.64.137 : 1 Median : 8.567 Median : 48.20 \n", + " 104.131.122.73 : 1 Mean : -1.595 Mean : 41.70 \n", + " 104.167.218.211: 1 3rd Qu.: 16.380 3rd Qu.: 50.48 \n", + " 104.225.220.71 : 1 Max. : 174.768 Max. : 69.63 \n", + " (Other) :818 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "remoteGeo <- fread(\"reallyfreegeoip.tsv.gz\", stringsAsFactors=TRUE)\n", + "remoteGeo %>% summary" + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "id": "309f0c0c-76e4-46cf-8286-00fbb9f1a1ef", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "text/plain": [ + " Region Local host Remote host Tx count \n", + " ap-northeast-1:327 52.28.55.26 :531 Length:1169 Min. : 1 \n", + " eu-central-1 :531 18.176.178.121 :327 Class :character 1st Qu.: 125 \n", + " us-east-2 :311 18.218.69.112 :311 Mode :character Median : 662 \n", + " 100.36.30.173 : 0 Mean : 2058 \n", + " 103.147.114.194: 0 3rd Qu.: 2082 \n", + " 103.73.64.137 : 0 Max. :38075 \n", + " (Other) : 0 \n", + " Remote longitude [deg] Remote latitude [deg] Local longitude [deg]\n", + " Min. :-123.767 Min. :-38.73 Min. :-83.006 \n", + " 1st Qu.: -74.010 1st Qu.: 37.75 1st Qu.:-83.006 \n", + " Median : 6.861 Median : 48.20 Median : 8.684 \n", + " Mean : -1.714 Mean : 41.70 Mean : 20.937 \n", + " 3rd Qu.: 16.380 3rd Qu.: 50.48 3rd Qu.:139.690 \n", + " Max. : 174.768 Max. : 69.63 Max. :139.690 \n", + " \n", + " Local latitude [deg]\n", + " Min. :35.69 \n", + " 1st Qu.:35.69 \n", + " Median :39.96 \n", + " Mean :43.38 \n", + " 3rd Qu.:50.12 \n", + " Max. :50.12 \n", + " " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "connectivityGeo <- connectivity[\n", + " remoteGeo[, .(`Remote host`=`Remote`, `Remote longitude [deg]`=`Longitude [deg]`, `Remote latitude [deg]`=`Latitude [deg]`)],\n", + " on=\"Remote host\",\n", + " nomatch=0\n", + "][\n", + " remoteGeo[, .(`Local host`=`Remote`, `Local longitude [deg]`=`Longitude [deg]`, `Local latitude [deg]`=`Latitude [deg]`)],\n", + " on=\"Local host\",\n", + " nomatch=0\n", + "] \n", + "connectivityGeo %>% summary" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "id": "492c9baa-c3f3-491e-8ba7-b6d73d83dcb8", + "metadata": {}, + "outputs": [], + "source": [ + "world_map <- map_data(\"world\")" + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "id": "e5f8d213-65dd-43d8-b01b-c7823268abd0", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Warning message:\n", + "“\u001b[1m\u001b[22mUsing `size` aesthetic for lines was deprecated in ggplot2 3.4.0.\n", + "\u001b[36mℹ\u001b[39m Please use `linewidth` instead.”\n" + ] + }, + { + "data": { + "image/png": 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bNGP3nbbbcdddRRDQ0Nixcv/v73vz9g/SOv7eSTT37xxRdPO+206dOnT58+/Zxz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1wTWsBINH7StoYUAMg5d/0JV9eC90jnIknYRE/vL6v3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Opo3q5Pm7VptdbqqFvyuZHeqGHhvGycwubp\ndGEzHR6/GOpiQipoJrTznM6uL/Z37e6OqBhV24c2GoPRUE8/Tm/9gcKuu5QwGqOXKVnbIucx\n2dEkSIBjFPkyBaocUU/sCFhMVGQpGgrg1JPun33UkGn+7kuoFii8dpH29vHlP4lEeOsPup1E\nGxvwN8i+PMT9gb5JtWLfLDwkdg8uMoP5ZG6MWdvYWgQQQLHZ3d3tl04mk8lkWc3GWuucm06n\nMca6rgGYe5n6KaoDzLap3qcUEAMk4Jmn2/BYS4wQjarCQKGuYDcgkBqjWa6i1FcbEzlMptRj\ne4UmGo7iYiISESMIfGqI+YT294wqnAUIvgAyEgtiZgNiRAEbJqeqVAeCJSiIMR6BLTHRkl30\nksVCGHA25rgbm4lKq3pYGA2YT2XvGihLZmQwNjAMJTOi3MpikqoZhY6OBqmVKp6SA4EYRa5l\nKYOBZKzIYb3apHlSdBSSaDQS1mbt2kEfVLZyEPUiggRlRgJUIUJA9KYpfDX01TBfjEbz9cF8\nVE6GxaIsZrmbF67KXeVtldkms4vczTLTWA433NOT/O8e4vNv3ODwGd0uIuqWuRR9eYmgtjep\niNArO486Fw53c/HMS5tr+3rS5HISMdkVS4CzcXUAdb7Bov+iznYhZMc3CdHfdy2PQbHIs8a5\nttm4PN15ApMLhW8HeT2sBgf1oLatid67ogu+7XwHU5qkyk00qswskkwtFITaZLyRgQ2iaOLa\ntBqUi/GoXAzLic+nZGJohnsvv2ty5W3DrZdGp180tmu6rOkyIn29QXg3ggAwa5FXRb4AAcpN\nl3dd3vZO25BXbd50ed1lbfTHN1sJc5Ao6mDqkO/XICJrYuGb3Delb/KsybM6y+rMN1nWcF9J\n5obj/wPJ2YnNlL3YUkwpplQ3UDsQOxBTqhuKKdQNxQ7UjcSUYodiS2UPIAQ92DOTPTPd5ba5\n05nkA9nc0s3TMlq7hSucGM7L9a/y7osy2eXt11zd9AJSwhyt8y7D5mm98Hb/lg9kXUchYDxG\nVhCAwRj5AF2NlUcESvCekgJAMQZeW7aHgGaKcv3ouBuP8nt/PBNtv/YlVBW81ZiwP8Gz/y5B\n8MwP+b09rI1RlP+we/wQdwB99+VO3kQ8JHYPKAiwjKqqtra2mggAzqCaVnorWYoYYy9L2KNt\n217Y5g6QhKtf44OXTu5tdEramrsOFokNsgH8AGySdSgHyubk+ikhBoqBYl+UtqMYIKxdZGcU\nBlnGg0EZDqIEynOAiQx8TqN1uPPOD4y11Je4iB1ip2AQo2ko9dYAhrW6dQpQgqisVPFEVRKg\nrMmFmSyupsVOCoHQO2VW0TbUJbeQfIPtmlHHKizg2GlT4eB6mu1T2ywLkelhJVtBNadqZnbI\n2AxFQaO1mGWwEHJCiVSgSTSoJu5aiYElUVAk6YOyqY9BJAJBiUyHwRyDbVUBragwMdQQGZes\nJWNARo0lWIAgStYG67oir7xbeNd60w78LHd1ZuvC1oN8nrk2M80gm3vbeBMGfupM601Turk3\nwfEtTWh008c79XSivD/Z7KI75HtXrp9vuiPutTnev3Du1e7GqlnHGOjRq9ImH3SZPKGEqGZJ\n7LImrUihcW3bDqI4Xpn0FvV4NNpfRjnd+jKO47Zc98T6zLI53l80rTWxWX9lcv1JNmfyrCqy\netGUB/WgaTt2mXN5iK7rvOGYG2qSa5JRJYMkYmpBkNQlnkc3sF2piGm0aAbDajgq1stykhVT\nMkGSO3jtmen2U8XG1fHpb7liDsWiKxdd6WzMfVu4xp5Mkb7JKnbSOUmHsf89ctvlZQdMAYTg\n265o27xty7bNqy6vQ960edurgt/cexCSulljZ80Qq2pvpWuKrMldm+d1ljWZr7OstjcxUQWp\nLdUUwh62EFMIZzC59I2mUJOpHYjJYcvEudpSbSl2IFyA79XpqIrZxOzv4mDP1AvW2zu0iTFa\nk/XNuHlai/L26UCJtr+hV75Ek+t6/bqdTDhFigkiRATv3cYm1s7RU+/Pz7zdTfcpRl1bJ58B\nQD6g0QYALObH9m81rb4NVv0uGdJE8wMp128wFK1dNO/75zmh+drfYrGANRDFZKrP/mkE45kf\ndJMJhYDxQ5W7+wtl1fvv575rqOubhYfE7gGFZUwP9kTE5+UiAADF5h69qyEE5ruYndnAep1N\n+iqLS39B6NB1BgCxZkPyAyWjKZHLxHuVRH3fFyNi2wum3DCfZ9Is0yyDKjHAm5IP/PrWuim1\nvoriCpmRGgIIw3WMTtH4KSu9RYAIAiHsbiMGpIgQMJ0hBCRFL8uyuQkRklVktKzycwmkp3nr\nMdPtp+mrMt9J8dgAtHQrzoVFytPGb3EyLIkBXHyCU0Qzl/3rOt3VekFJltv0FdiwrLGmzZQl\nQznGxjlXrkOjSBBtVYJKgAokpBRYWu06bVsOgaIgpb5ILdDnoIDoqCKcQpGgKhQidwHAstdx\nXo1TYRusTe0AdAoEZUrgRKwgAaXDormyEucjCMEwmJkMmFBkM29TYRfOtJ67wi4Mp9LNDMXc\n1Y4bb7rcLQxJYRfMqXALhpRuRoyBn0IptNQFn5mKSTLTVNVwttg45E+5b5954u+ZT4YDHrPc\nHnV5vRbMKtwQAtM/9czVqtwLghmXYm27lDle+nkXzbgcToE7cLZ/gDjMElkenD+YLNbYf7Ot\nr86uPzG2XZ7Vhe/mbTGpBq0JLHZcWEqu6jIbtTBUJ9ckA1FLqkt6J13iefCFjUPXHVTDaV2W\ni/E4n5eDeVZOvK9FqT54pNq/lI12xmdfLMY7II0wiy5bdGNnQ3nPOilH9/U2V+58cD4Mh1Mi\nSDJNV7Rd3jVF05Z1yOo2r+Ja02WdFiCCyQBSk1tr1ORJ0IAXZPfIKGUstJ6v+xIqlbWUleyH\n3g+dHRgzLGFdb0V7g7CY08EuTSZutg9Jd3rOzsvapmxs6fpWuku1LsXkCl75f7B/hXd3+WDX\ndC0lQUrLpNrhQM89kk69hZ7+Ab913u/tIgVd2yDnAMBlWNsCgBjQHZs6+QyHs+rh2vIX0f/S\nq4NbPNP1C/zej2aK7mvPoporExSYz/GVL0Zb8FPvtVWFmLC+jrv14g9xr3iD5E4eWDwkdg8E\nvAEB7TGnQVLkeT6bzUJbl1nRRoQu3NJcdzNOnTq1WNy9jPr4fG9eUijaltqGRECEbABXEDG6\nlrIcxmvsKHZHv4rQUT1ddjlkQBbWk/FqLNjDODQVY0A+y8rxeB50KFTXqCsZjYktrKEzl+TM\no3TuXb1fiQBVImbMp1TPl9E4StjZJVFAoYoz57C+riIkESp91Q1lpa5D02kSjoGaOfZfTJef\nS3vXUgwUgsZe/CWi7RAvSzaVtXOmOMMm55Urmc8/gRS0q7G3rdPrqZ6RpENdkiO0FV+r1L+G\nwRrWT/HW4zYrIVFjI9JIrFS6pElUVDt0LWJDdZ2aimLgIAjxSOWEqSfTSscrywIQxLQkbYiE\nBGa1HplRdok4cbbcFobUsDInYvQVcwWqKqIqCoXqUKGJxsIIxBXEEibKxDgahepbvBUEkEGq\ntatCiGn5yiU0M2LqDCdDmrlu41z97ItB08JyyEwNwJuGEQHkZk4ERsxM3SeIVPP+wrWwsys6\nt9452Vega7Nr9WPWpN4vXqX8ehWLcgXEdykAACAASURBVAGASF1auI6ZowKOOrsifD1yM7vp\n3G+4ilt+Oe7SNkZOre/XbTGzUg6/spitz64/nuVN2QwGWTtv8nlbehJJ1voidlnV5SZqaahJ\nrk4GAssK4U44sgThRbRDGwe2mzdF1WZ5PR6Vo1Exc+Xc+cbaFKqt68+fMXldnt0enNkGCYCG\n86kwdSh853OTeek5gdjB0nhnM2ULAGxhcyIab5yaLloREc7ADoDYEiDlJdkSOwBI2cN4AcOW\njz9y4aVXZjxLrkJRU1dTU3Ndo20pdCyKPMvKspzt36ALHa0b+uHe/j5q2JnmB8gKKQrJMnEl\n/OqP79MwUlc02aODPTObcAx3GoaJMRil9U3ZOq3l8J6yUuo9euWv6fqLOj3gneu2qXuNpz5e\nAs7q5lZcOycX39VtPYlGFq++JEU2XN+kPqrFedo4s6Jrx169rICE41+JSUWpnxTWt3lJ1y+a\n933UA91zz9J8vpzvVXP87b/plOTpf+a6lnZ3sbGBh4Vl7w/eDIHiNxEP35oHAqJIcrLFEhlj\nsryIgoHT7f17rYyeZVmvkDIcDofDoYgsFoubqV4+UpNpbBFaNC0xUz5UVygxAfAeWSHEAOCd\nTyJs4HJjnJbD4fa12nhKCMfIz/IVDwGLGWWZHYxGATrcRMZSDtWapWqwiELRRT5YVgQ9IlEi\n2L+uh3p7ZLC/qho638elR1GWSqufJxOINMuQ5SAGQHoGjzxqnngXX/kGv/hVOdjWIwf1YUZC\nnfw8XThnzzxJw03OPNjAWiJGSiSRp3vy7ef0lefTa1e4rZfPQtLRhSpocYDFQRqNcfoCX3qc\nN06zcaSKttZ6Jt1c2pmERjRyihqDdnPtFlTV0iyoaTkEdBEpEXozG/X+NwVwTKx0aeFKCXUD\naokJtlK2knmwhcuScYndKnjNExmGMzAMCzCgUCHpVamld2SLCpgJDGthDLMRa8k4tYb7m2QY\n052qTTH3RydSHcADAAMMULnh3EYZ/CCERpMggphIlRnGqGEQaV/FjhhEUmfLu28dhrmsr68n\nSfViSp72CojAMGW559JVY8o32Bj0grFXzphsZNiAWZmJCNaqMUQEZ7UfO/s1vYO1oDCTlQ3x\n5mAwjvNbynwk0WrKTUUKNNe6+OJOub9nFyg7Gzuaz6ERNqZR25SdqVrLEbkJrdgqWVUwC4Q6\nsUQaxcyjL003cFFaW4d8slgfFM1wFHjNuVHGHlFRz7DTsH/LOHvHGhXLTriXpjQGea55LncY\n0Zss29raunLlym3XuBHj8bgRu3V2dJAdDABAY6ddJbGmdqFdRW0D58r5rDKs6Zh6YBdCVVfr\na2uLxSLEOI+YLwxgDKtzmhVaFMhyyQr1pfqSXKE2f31heD2Zm+zzbMKhu8vQWxQ63Egbm7q2\neTfj3DG0U1z5Mra/idk+7W3b6YIkUhRIgoKYdTzS0+fT5pP0yLvIl6qK2T4bqh85PwxASDAW\nG2eW9jNJaKqjyVgxpNmOYGndh8vBBFH0vWhVCXBrD+D6RfO+H/cq3de/QvO5KpAEzUK/8m+j\ntXjiPT5F9NzuYTrFd443Kiv2QcVDYvdAIB4bbnrLPBSqysxJIAoFNc1dcg8PEUIYDofW2jzP\nr127Zq3d3Ny8mdiJ6GCTJlfV53ClzUdWVcqy7LqaXD1a88qRrLqcH7l02nqASRXQJKJqCgUI\nMp/P67o2Ro2FdWCrTUXrRjbWC7UkwMYZqrZjr5B8eGjrwf4WnTgzigEtZst+07JubFBvRIgR\nr7yMxx4/2c2JIASEoCEspacAGl20b1uX6y/K1edluivpeDZqwnQbzV639xJfeJLOPWOLNYrH\nzm28wd/7Przzn5pmoa8+r9/+RnrtMlUVbg7u6VpcfkGuvIi8wJlH9NIT/Ohbafg22xswUkJb\nazORZi7NTEKVUscqSJ02c20qVAuaH0hdcRModAiylL5nBhGY9MYB8nAsWdlKEwhkodapL5E5\n4UyzPLkMbMAGNjM+Z7VEno2H9bxMkVBIUhFSUVnmMlMScZYchYO9xSiLxpG1sFaMxXzC0+2j\nUxmty6PvSMTIMh2Px9ev37o47CFCS9WCDIOMDoYoR8Lm+pkzpxYLbrv2VeJQ9zuP48Fa6BZn\nH89FBYBhk23w8BzkhqyPkx8MITNom6pdtMyc57nYLKZb+G/F3jbwNC/ADaqZ+ifgH73YXqnM\ni1c2Zq/FRvOhqRZaV5xycBdHTSy7UDeOo2YmhmSq5ETBJFDEyIkpCi2SL00YuCiCJrhpFceT\nthzN7Zq167l1ykjyrYPF8xPzSJm9bZNPLV/rlLBY0GJhrF0yvJvzoNq2jTFaa49H1t4OFy5c\n6LuO4x2I9bAeWFcAkjTWJGH2lmLr5RdnXUN1TW3NTU0xUtO0RFyURaFomqYLAUASSi01LSYH\nIBhrtSjUF1oU4jLJVpY8l9/amLeY0+zAHOzRfEp3JXPW6WgtrW/K+pb0San3jq7Sa3+H154z\n013s7ZjpjFMgQd9REAFlIVtn4unHdesf0cZ56WNtZ/uGScthmE4PhuMNsdg8S4cxgYvpUfyJ\n9chy7HcKwBuoQizYAS3YEIDuVkbxQ6xfMu/5sAsxfPNrVC9UFCFSU+nffj76gi++06pgbw/r\na3i9F/4QN+FNECh+E/GQ2D1wGDhUAZnD/mTunEuKNsG+nnfy2rVrfW9+7do1ALfr/Y2hc0+m\nckjlBo/XRm3n1epww4w3S5JGlVSx/dp1763JK18MNekiQNUqKQ+UAJ+ZwbpTUFHkIYSDgwMV\nLCZsDVufNwnFkNhAOk3HvBXMag1sduv5UzFAUy0zzmLAeISmQV0DQIy4/CoeexyqPZlDT+Zu\nCT/kR97Jpx6XnW/L9rdTtS9LzrRa4WBbpjt49Rvpkaftubeacp36vnh5kgblmN76j+npd3No\n9LVX5aXn9MrLOjmgdGOanSrqCi99i176ltr/S9e35OxFfeKt9vQlFAMqhwYwqkgJXavtTOup\nNHNJjcQmaeIYtKvRLNAudDZDPaemob5quMoxnscn55tJkaJ2EagJUxhLhmAILoNzmg8484l9\nMg7Gw1gQgx1bz8YT58Y4NTkTH/Ekx9i7Vrd1EnCooQKokYjdK0SGDSmxFiWfeRxZ5q2jfuLB\nzHLrkiar81zVPkEk63q1arSL6cbmRruYNU3VTIkNlWXRdZjsBRq2zEQMIi3bfLCR5cWguY3K\nrzUwqdnZ2RMRZhBRSItTp7bcME+qIOp9yf0ikPZ+f2b0rv/e2kerD6o0P9BqZnBxRO96qpyf\nOfi7V+bffi07oLwwizm1bChnSWoXbdHGpvYNqTMpCtfRRQWxQjVFjqQiWRVdxmnkgyrtRTep\n8v+PvTfrkSw5s8TOZ9tdfA2PyIjIyj2rspYukt2kKFKjRvfMQANBI+lNwACCXuYXCpAGjWk1\nMBBmRmo1eiW72axisir3JVYPX67fzcy+Tw/XIzMiK7MqK6sKZA/zPATcIzzu5nbtHvuWc/J5\nMzguzEibcWpTGMXytKgeF2qSmltje63/bICGgKKgotDOSZZJkpwj+ovFYjKZJEmyXC7P+tCc\nxWAwGAwGnTV4jK/USVYari9E8cJFHTJqK/Yl2jL6iuqSmlrV9bKplEjinMvzvCxLH0LiXNO2\nIiKAD+SXhCW6YF7iJMkkzSRNxeViM3E5NZ6KFS2Xppghhq+InSgtg7GMxryxya+ZaX0BocbB\np/T0l2pxKNOpXs5V2xIEIaILSTork0m8cI03P6CN63DJOmNQnCiXSJoKgLIsJ5ujyQV9qvaD\nGFCtni8Z+gMAiI0AiKcVtdaibaAMAYjtV5zp9rvmJ/9aYvB3blO1kihoWzKl/N2/b9Octm5q\nCGYz9MN6X2/xZhChtxG7t/iNgQCOIVWYTWdVVe3s7LSnE3Kapq8ftHv8+PGz171ez/uXaCs4\n5zav+2vf7482Jj7iZIa096xcN1MKGYXx5g4RWWvrgDbSqc4YXbhEWAdLch+p8TAxqoSLuRqM\nY7+f6xSWMdmFMWj3ZeUkSQmACIyDTSkbKZsBIAiE17Nq94H+EMv5+m21kovv0MP7qBuEgNUK\nqxW2d77i9JWCtXAOdlNdeVc1S7V/Ozy6zbMDOZvyZsb8GMtpePhJvHhTXbylBzv6hRgDEVxG\nV27pK7fgGyynfO+2PLrDxwfUNC/sFiHi6ABHB/TLv4tphu1dXLquL9+i4YYYR8ZQ3qONXdUR\n0+BRL7kuuF1JqGOomb1wQGilWUlTqXIlxVyqkpqW2kAxrNtcXs7zwlqbr2oBEKaiDRkFY2E0\nZylcrlLH5IJySmnfmXkoS8oqkyiTqrrxi6nXBnptyARjZO+OtgkBIgKl9c4NpU3v+DgIR6PU\nwd4yBFKklYnWKm1YazwjTN1GGKLUOlGVprBdspna+fJgZ2d7er/iWvX6PR/CspiD1k2wwiCg\nmNd7D8t3rimV5KREGzIGSovWpAy0RupQzgtKzrF7L/uhoSzLiGh7c6uJoK7aQeh88A8AjIJR\n6xhMGzHYoLSHxVQ2Ns14Y2Pzw/69vxiq23u9g1V/actClstYVVA92JRNEtNGl5VtgraKA6sy\nmiAEEgKFACLFWjW1dioOXHCaFqVe1VlWtP2Tyo6UHqcuhbFCszr85V78hTM3h/q9AbnnYbq2\npbYlIiSJpKk4J0So67quayLa3t5+1V0wGAwODw9feu9/Ec45ERFhm8KmyCcAJIZ1xrYtY7Py\nbaNCSHu9PEa7XDYb47yqq6o6NylFprKmskY4QFNRDBQDMytnxVhR6boeVzmcWVSAtCLE7d10\n56KDmme99o0170Ith7dp/x9pdojZTM9nqm0g/LxJwmoZjHjrnXjxexjfoCQ/LWpkrGYqy2Ht\nacbA0oV3dC3A6aRRLJ7XOWuLJKfohYMACLwe5NoQqfUoC69x7S9+ZH8SRSTcuU11KYHRtGQK\n+av/s/3pv0km7ygARQHmt62y3wTfiY7d267Yt3gtCNCFvjrlYZxm4KLAOff6xO4ser3ecnne\nx5NoPB4Ph8PAaCOKFgDy8ytCZpQwiiACMIK8JLcVBWUgAMogTfMk1bNDsQl6Axs19XoYTgiA\nS+CcTrL1BpIe+iNMdsnmX8yvrd8e7Uv0CAFtK7B06V3c+xywMICweKbt3a49dl2Ixixaw1lY\nR8ZIV3/zLHk6GKuNd9y1H8rebX70qZ/uvzjh1qXc/QXv3+eLN/jK7+nBRdUtuF+ATSUfqJ1r\n+K+jrld4+Lncv817T2Q179KFZyBoKjy8i4d3o/7P6I9x8RKuvqd2rlHepy5tDWAwUoBihvc2\nBPhKmoLbFfuGYy2xil2biC+lWklb0XIhZUFlSW0gHxAjSEF1bO80GHn2iRgEoQWgiwo4gSIy\nRjmLNBGXcpaRS8hmjCbGFR0+XTKDjChLyqE3wsEjpYh1CiIiJVffV1ffT2azqc6e8aPnMoYi\nLCyBSQHKEFF0VoNEG7gESok22LjAZxr9JB+ErctGBQcEHyuXQRyse+aS0g0yWpXLSZ6xgL00\nvmP86/0qggr5yazWmpQSUqIUlCalpK4q5/RwEIvFCXO01lpre71BFERGFAiQGfi6LJumbdvx\neNy3NojKLUY5aZLFYtHr9yY/6umdndXnzbCIJ7cPyMQkUWWp2wbSjyaLwzT4WtWVbYI1igOr\nRnQTFUiko3dKs3T0Tnq2zUwsyrSsXVq2+UmVDEiPEtdX1gpVbfjHI3/72F4e2A83pP9c2FkE\ndU11TUohyyRNxRhRSllr8QrUdZ2m6esTuy/+UhtkQ2AoAIQRam7LcjIc7j85SbK2bU2aZRvj\njaJoF8sVBG2LatVlchGe51jXL5SGs2wcEgfnRCdiMhptxQuX1LsfDLe2rVJUFEWvt/P06dPX\nyTK/gNjg8Fe090uaH2I+M7O5aqp1mWmIECGtZNCPm7uy+0Hc/EiSPqm1NQw40mqBXp/VKd3U\nBqPNEELNp+tZ30p9pp5lOCIAoVzPMgJ0oifKsLbrUw7ta7W7XfrY/bBG5HDvV9Q00gRQDZnx\nz/5d+9N/k/Q2unI9xIjxxlvnsTfBdxWxezMN+O8eb4ndbx1cmhHNjTEiol0KDwCa8PpOEl/E\n2XbaLMsubG+zoGgRv3RcPpuqytd4NDAQGsuxJSKtdQD6w/WNxF68f76njtNo95LbbJ1jbRGF\njg7lNL4i4026dAWPHwEANC2WSHNsbkEbchZJAuvoTCnSy2/g4YR2bqgP/pnevx3u/EM8eiRn\n6B0B4IDHv47Hj+P2VXXte3rruk6HLzLOs2+ufED/7F8rX2O6J7f/Pj78TI4O0L5MUrdtcP8O\n7t9h5zDZlss39PWP1MWrcBmUOrtNAlSM8B7Rwz8P6XGsxFccGhZG8KhX0hRULmRZSLlEXam6\nRQiIcpq9VS9/ADBQB9SBsNLd/owhJaRCJKXSHhIXTSp56ud3bbvkCAWGEMbbvDU2oZBYs0lA\nL5k55PxP8oFFUFVKGNwJyBCgxWrSmqCiVnWaO9+GJF2zE1LggLPEri3Je3+w98QYo7V2zjnn\nyCRtXKsVKqWFKXC39ReWCoLgj45qIpDySonW8yS1zpm8lxqjHi/nITRKQWnU9Z7WusssM/No\nNAIQY2RmN9F2I2+PwoXdD/oPDuefHyXT2NRUrlTbkvTYpWJyyUpfNbb21jCnimo2LSshEUEI\npJRqWFpOCs8943MbyzKta2eLkM/qfMjNMLN9bS1rSLi7CPcXZidzH27I1jlNNuauCI+MwTvv\njOfzV04LIpLn+QuLulchy7L9/f0v+QAp2Bw2x9YlHfPQL7kt22rRzg9XRqeJGRRzdXi4amu8\nKjPPEXVU5CUyoDFyMhr6QaondnTw2Xzv8yrpK5thczvu7OwcHx+Px+PZbPY6q1lfyeFtOvhk\nTenmc9XU4EgCdH2vitDvx8kF3rrJl36o0vE5tUDfUmzUYMDPxo+xMt5ipbFarfJR2qVNlmcy\n3jaBy7pdPz/bzKCNIMKzZWF4ccH3imtLuPEjWxcS2vjgc+U9156Ukvle/Pm/a/+r/8UlPQLQ\nNDg5eSuD8kZ42zzxFr9ZtBE7O7tPnz5x7jn3ibI2E3uzbXZGFESUpumF7e06oH1Da/JXbF8h\nNuXJcQNQmqZKKWtPk24Ax3OdB13BE53yMBG0LXyLpoU/02VrUzSnpcfLuWxs0YVtHB7AGFiD\nuoK12Nz62oeaDunaj+3OLbP/ebz39+HgsYTzGdW6xINP+ckd3roUrn9sdm6pbKxetUomgsuw\ne4N2b5joURZy/1dy5xN++kCW8xdF+wG0LfYe0d4j/uv/zGkPuxdx+V1140O1uUv2NM+tNbQG\nurcTFaPq8rbBo23RLDnU3JYcSg61xJY5SvSoCmlXKJdYFiiXqCuqPTiuS386b48vQoC6RtvA\nkG4ai6kAJk2FvasKMlqSFEnCO7vu/avkj4v6qCYyDQeGYYhoZRwpKyoh40BfKPNnps75VpEY\nK0ICRssCLwBV5WrY3wwhLA/ryFAKWpFrhRVrRUpDEWJLMUAb8d5777vHfJqmo43NwDAKs+kr\niUtXRYCuJy6CIwWPpvaAP6P1op99lSDRmpUSUrSczS9dfqepUK0kRGhNZmJ2P9o8+hU1PZsc\nFeXDpZtLVVK5UhGgLOqETCNZ7evKVt72yGcKrZiKlQAsJEIkLKw9q8JLbkLPembVerMsQz5v\n8lz0OLV95RI2RsLTKjytzNimH47o2tDzua8wBKxWOsZemg6s9Vq3SWI7AUutdXetjo6O8Hp4\nTSklZhzu+6P97OBpvVpQXSsAwiGqpRubdyd5W8Wq5GLZ+JaahkIEBMZykiHLJeshyyieUr/F\nwnDsTY+b4GOa2iTjNOXpvWKyjaSfNYb6+TDLspPzIixn0ZY4/BUOPlXzQyzmZjFXdb3WvevK\n6RShl/F4k7dvxEt/QMN3iJnPnqtviITS7PkM5RIMN9clm2madrd+vRJ/ZqLon2ZF2+Icje3W\nFsp+bQ5Bij78o6SuGo7x4V2EgLolRXL0MPzyz+j7/7M1lgC0DY6PMZm8dZX9mhAF/i7o8G8p\nWXxL7H7r0EYoWlOxZ+u9wG9O7JIk6VoX0zTd3t5e+XNNuN8cBGQqPjlcdlp3zjlPpj84DddF\nEZYQnyvZGgUBmobaBq1/ZRlKb0C+Fpa18JsCbn2A8QjPJvmnT2DtG9adpCO69iNz8QN9dC/e\n/Xk8uM/1+f610GLvrhw+9KO/pkvvq8u/p4fbL5bfvQBtMdig7/039PFPla9luo/PfhkefUbH\neyirlzw16xXufYZ7n/H/+2c8GOLCO3TtPbn+kRlOYM90lpzjeQBvK+9Vx/N8gK/Flxxq8RX7\nikPF7GVN9VbSFiiXWBUollxVOgZ4XlO9LqQXI848rgSAddK2WJ5oEVIKq5qM1R5+76g1Rlmb\nZ6nkme6NQz9H2hNNgYSl1YGFGTCKtAkSySqddHThWW6LXkhdaGOcU5HbELpeS0SgrqHj86eW\n0oj76I1Za200oFhr+NBMp0+yNCka37bhW5leRQChydb2dDoNTQDo0f3Z5ubm4kR5r51z4/H4\n0b268Iwbg5gnKhnks4V+srI2NrUqVyqSqCxaRyaTrA5lpRvvVAyJgmddCwVWIooFWiQoWXhb\nBJvrtueCeLUMZlXFfOmzXmzGzvaNS8RaDjNf/MWR+vk0e2+QfDhpjX6Wpew8o40xRVEYo42p\nnQtpSm37hfLPL0Wv13POvbQJRgTlilYLtVjQaqGqUoGK8Wis1FCZGlR2cuQmJSB6LJNBspH2\nYpsh1M4wpAnsRcioYVF4Y5yIaKOFhZnbtnVJcnJyIkK+oGWhAGglj+5VScZXrrhidbxzaZwN\ntot6qlwwZ9SA6pnsfUpHv8Z8qpZzvVyso3QAOikTgPKMxxu8dS1e+gHG10RpeUEezzekCWcN\nddIcg421q6yIEJFWYI9i/vy/0h7c6R3anCF2/nS1rJP1AFYvXU69AkrjB/+dq5Yth/joAcUo\nVUMEefIr35vw+3+cdEH4TgZlc/Mtt/saeCtQ/Ba/eUSGtfZZ1QsBicas+tLW+VfAGFNVVbcc\n7/f7dfyWWR26cF2My3l8tkchJKce7tL9msGMEOEDoQAWZF+5CAcAUsgTpJeoWokxIAKJaEWX\nryEyFnMAEMaD+7h+E/3+Gx6569E7H5sLN/X0Md/7e//0M1TFOeYRA6Z7Mt2Pd/+ed98NVz/W\nm5e1Sb9iguj6LXavY/e6jUHqFZ7c4XufyuOHmB5K/ELtkAgWcyzm8vknoD8J4w3auUTX3per\n75vBGPp8DZVSSBIkybP/Je/1M54XAtiLrySc8jxfM7fCUcWAZiX1Cm2F5QLFQsqlKmpoAgua\nphGBdaxAy4XW2qJz9RDO8pYptpHaSGgwLwBoPLSaYAxbDWslzbnXw6DPaV/SvB3nEHjVqsVS\nVOlII2qAhJWwUsaty65iCNAge25ECqmz/I8jqlknjrOupzxzKRproS1pLdaqzsvYGoISRRAR\nCPlQ5r20KuvXC0iBmcfj8fHxsYjUdS0ik8kkhGCtnU6n68pXUmY3VRPXPHYmH6rZyuwtrYlV\npeqaBAIbteFBylkdm9pUrSVERwiCKhgvKgrFSJpYlBTiVtGlOgysN6KKYMqak6LJct+MrO3p\nJBNjWVe8+od5+ctFfi3vf38oG3lVETPm8/l4PO71eovFYrUK3QhxTqWpJMnrVgAlSfLMhLrr\n8l4tVLHUxRJlofnF6D6fTKcA0jzf3JxUde3b1rfeOu4NZThaDUbFcIwLFyZE5BsTW92WiLUq\n5hS8efjgqKlUCNaYdDAcluWLNomRqayh9PDxY10ss0cPFuONZHNrs1wd2kySHKHC8T3Mn1Ax\no/lMrwrVNGtK13VIAJRlPNyIFy7J7vf5wi2VpNzUdM6TRsAe9jw3yvo8GJ87mKZp0ixfzuRZ\nV7FS6I/WgzAGifXzz4eu6YhIv7Lu8StgHP34f3Jt40MITx8hChpPWMjdv46jrbD7fdulPjiu\n43Zv5YtfEyLfSfPE2xq7rwYBVsOIr8W+XmXCf7FwGtOyHG1MurYGpxF9U5avK1B8FtbarjgJ\nQJqmxZs5j38pFGG5WJXL9eM5SVLJ1wVeIaBeYbGk45kqT9Xp+lCkX8KNSHVV1bAOzyrCp4fr\nkJIIZlPZ3KYr13D3DsoCAIRx/y5uvIv8G9hm24x23tObV9XsSXzwi/jkc1meCM6SDUExk8/+\nRh59wluXw/Xvma3rKh29Mj97FtpQb4RbP9S3fgjfYDmXR5/K3V/z3qOX52qFcXIsJ8fy6d9D\nKz/axDtX1OVbuHZL9YYveWAQwblz2n4cKXhqW+UDfOd4FsVXHGuhRrjmooihFV9jfgzfIlZY\nTqtl4UOrItPJgbNaNz6EACLJ+9FmL78boyB61XigBpbrJ6RWsJqtgXOcZiBNiYlpDy7jgeMk\nRqsQazBUJIYx1dHxsJdWMw9ax6djC5eCz9BfX0NYSL14uZnRNEDzrLTu7AtYq8hwWVabW8NV\nVRkLo6E1GNEaxQxhilEgFCO6tyKYzWYXLlwYjUadhoiA5vO5iDDzC10IyqnsRhp3XfPI0qhv\n5oV9ssqKWJaqaYhZYKMxrJKQNm1T27J1JtLA+ihUs26ijqIQoYi1kopNHUyi4sAFq2OsdN1E\ns/JZ0jRDY4fGZWIdW5HVndXq7irZSvrfH9gbg7pV8/ms1+tvbW3FGGezmfe+a7P4Sq3jyWRS\n17UIgk8e3p0VS1ssURbqyy28nqFtSqWXFy/3d3d7m9u29QsAWuu2bVer1TmBQ8KV96/MZ2Vi\nUuSxLaMvQ1PVSuWjUe/x41XnfvEMiXNENJ/NrLNVpQ4O/HLZAKPF3qrcl6ZgbqitUTc6MBik\nFLqeGAKlGY9GYfMKLn2PRzdoMJLgY7k6d0aKwJH0mQc9EfXHnPVeHOpVVQk71M/nl97weais\nWcQvprBFP+9g0uZrL6OTHv34jiuFAgAAIABJREFUf7TtKvogR0/RRiiFkxP8w3/w+RCj67bj\n2c+43aubZ97iDL4b54m3XbFfjcSAACbLX7sd6r8o9C0W8xOl1Nk8bPqmYfeqqpRSFy9e9N4z\n1HdBmBXBqoHICoDWuvGwipYz+BYKqCupW4TIZ2Mt9Hzig7NrMvfSx89og473T32tPFYL9Ee4\nfgN3PkOXPOWIu3dw4+Y34nYAjKOt62Zyxbw35ce/CI9uy3SfXxiKdYlHt+XxHT/Zokvv0zsf\n2eG2ev3VuU0w2abJNn3/j5SvMTvgO5/Kg1/L0YGUxUtIXmRMDzE95F/8LYzh8SbtXMa1W/rK\ne3gpyeuQOagEdVgLeaxaeE/Ba0RQ8KuQ9BhtheNH8cKGcN0spiszbHcNrGvLo8nD3JdlE1s0\nLWnh3gZ8ixCU7zSNv+ocIyOyqj1QKczRNMRsNMEYGfY5STjNkPek34tpX6e5pFnTp2TWhi5n\nJQrWYzxAXRCTgFQEJFKoYb/m9+s9wyM00Wh9fHB2TldKQWtoC2PhLEiztWytshakGpcvNnfG\nbr+sqrY/orKKVdWQUtqIcLf0f74tnan8VhYWsXms1ahvZqV5UrTLWFWqaUggygFO0rRxta9r\n0/oEET0V+joUUbfRsCiO0CRKxYZVUydOcW59ZogrHVrWVetOGpsrM7Aug3Virfgn7erJse7N\n8vcH2ccD3y739wpr8zzrnzQnXXH9M61ja5EknKbSzSIiqFaqWtnlNFkskmIhy0Xh29fwNyCk\nOff7GIx4MOK83wmFnDBwPFX9fl8p1bZtnudZli0Wi7NseDab9Xo9Zv/+Dy5575MkaevoK1rN\nfX+iipOmrlVddbJ51Ov1ZvM5M4cqAogeh3tVO+sdP6WmVFVtmpY4QBOMFq0FgFaS5TKY8OZV\nufL7GN2g/hBa8aqgsxlmIigCezoba1EKw0lwKb6IpvHVMjobFBkWJCltT9BEeAaAZr7edLfo\n6GZsdab3x7ysRewrMdik3//vXVO1vpHZFLUnrWR2LD/79/6f/1utMtVxu06++K01xevgbSr2\nN4Y6AIAiDBxW/gv6Eb8bsAq+rReLxWAwePYsigIm0+/3X7PB7QWsVqumaba3t8vvhjFrwvFh\nBaAsybnRdIlBgkwFrUxgJJ3i2tlnoeEso/EY1n11mYg2GIxoceqlvVqKS8kluPEuPv81ulIi\nDrh7BzffRfaN9dmVxvCCGv4Ld/UPeP92ePgJHz4Rf74tTwKO9+R4X+78vNm5qa78ntq6Ys5I\nt3w1upaL7Wtq+xp+8q/E13T4KH7+CT+9L8d7VNUvCfCHgKN9OdrHP/5NMAbjTdq9RFdu0ZX3\n0B+dI5dthFHILYxCHdBz8AaSIrdoo80C2grTUi5sq3JZnpws0m1s9FU+5MN7Sbu0bquyLXMk\nBb5xq1EGMSDU1NTUrqiqqFyZthHfkg8UmOLLPB6eXysGugHsqahVUSusa5Xss9heqtXqxCQp\npQknCVyGfu5jK1pDqWA1aUtp5OEAQjoqYSIQ+YjgVfTo4m2vAp81PHn+y7VhySnUM0kOQClV\njjf0eGOrqpaLGawbshQh1FkPUOxcF96DCMUowiRCMlBxN22OY31ftZPUHNfmaZEuY1kq35CA\nlYWynCVt2oam1k2TBFZ9zWTqKpoqmigU2WiIUeyZTpp182yGyDENnnUdbNG0Pav72qViHVkj\nOkb/N7P5z+bucj/5aNSOkLuhr/LVqgWYFBSRUogsTWWbCk0rHIFIAOX9TOu2Wq1AX6agkaac\n9dEfxv5Q+sNXBv+YebFYdK+LosjzfHNzs4veee+JqGmaLm9Q13XTNLPZLITAzNAYXkb/ooSa\n25LaKrYrjAby9IkUBRcnOHqolntoCoToy5WtG46ntKwVVJ6IkFjpDySbxO331cZVsRmrOi5W\nBAOdPG8bshYQ+Prc2Woj4y3WrzivYq5SR8EaFhBhcxMn06N+v0+UClDPAwBDYKxLGgCIIZzm\nbc2bUq7dm/qjP3Jt23hPxVLqlojkeE/+8n9v//m/dTWprqLjGbdLkq/a4u84vqNU7G8rfouI\nXQdNEI6K9O8msSNCkqZa6/HG5AUe9gbCTh201jsXL1XhJTGhbwVljbYWAEmSKJvZjABUbMBI\n9Lqg2BlSCYwWazAZYziQ1zfJyfqoa7Sn7GoxlckOGYOb7+HOZ8+53Z3Pv4W43RqE3oa6+VN3\n+Xty/DA++iTufS7F8ryUn6CYo/g7fvAJb+7Gy++rnVu6v6XV1wytKk1JD5c/0Jc/0DGgreTx\nXbl/m/fuy9EhXloEf0ry5Bd/C60wmsTdy3TlPbr8nhpPaJCGMppO90QEKXkRy7JeLGnG8mkR\nqqZpGgGPN5Dkkg1kuq+Wx1nap9RDRBmN67/Pg7GOtYQGoRFuEWrmBsyBI3GQukSobV1JW6Na\n6aqiGBAixQgfqdMieXbBvlhE/iy21xq9XFiZC6C7SvZHB0YFdlaSBGnOWSYuw9YCSR5tIkoL\nESWO8gQmJ2VFNCmjmCgC0Svv4T37oKJHDF/7xmHG9HgpbJQdPN7jyEmqk9n02Pu243/Wggys\nYWu1tSAdrFXOkbusJtfT5sCv7oFvpNVenT9YNQtfFNq3JBCTAknUWUyaEGtTNomPKtXcM1UV\nzSqayBRZd/QuMs3ajt7F3HphFYIpKo0p0lx6I0l6bJyylrXh9v6yvV/orUT/wF///uWnT5dP\nHzezhVotqS2p9eoF9m2t9Csa9JOmik3TEoFIOoaXpJwPpDeU4RC9YUwSUQqdaQeBOMqrlHTO\noizLZ6UjWZZ1FcOLxWI8HgNI0xTA06dPn31eaXI9uNNMaGYrKH37z5v2AWSq4kpXK2pb8V5F\nL1jLTUMT0kSyXAZbGF2SdEMFh/lM5icKIjblLBPnxOWwOQYbwg3F8zw/yWSwwa9SD6lLgNM8\nz1sGsA6Ti8h8Ph9vpcWSQyVWwSpUAaeCTsTqObGz9s3JxLs/0uXChtY/ukdVKa0nguzfjX/9\nf4Q//F/dYnnadiY4OXnL7b4Cgu/IeeK3NAr4W0fsPEMrnRsUv5NBuzZCBMPhUDgm4BLrUEwU\npGlaff3+CSLa3Nyswnd4MZdLOOeMMZtbm3tTDDtqRXAOeQI2tDWRdob6TUoE1xhu0HRfusBM\njFicyHiTrMWNd3Hn83URXhe3+9a4HQDA9ejih+bCTbN4Gh79kh9/xvMTkfM8wdfYuyf7D+Pw\nb/nizXD5Y7NxUX1lg8VLoQ2yAb33A3rvByp61Cs8vcv3b2PvUXwVyYuM6RGmR/LLnwkpHm1g\ne1ddvhmufqhHE7iUSlkPoa5a/Pjhajp9rseV9mQ44aaio3vZxjgDECOz4PKtsHWFY6CYUGes\nCaCbxaKX2CA2FFvEOoQGsRGRwBGhJV9R26jYoKxkNXfzhYRAIa7L3142BhUTQGsOGAUxULki\nEci6BVwTYJS4zzqla84ypP3YzzjrweWcZmJSMYY7SRedUOLQS6Fz6JSUpcm2jI+krmMIKgbl\nWw6BoifvvyzUtyyKjclawKxhjCeb0+PDGAIA7wGP9nmQ79ksqgAoZew45ZmPmTG3MjlpBwer\nMG/LUgUPKGgHbZmz1tSxrXXduBB0QpKlVe1NGW1giqwVYFQAaOHNMphc+9wyswFh5blacdqL\n2RBpTtopRUwQFE35cP/Rn05Xk0ExHIpREtEVfL1w5b2nk2mzWvGgn9rE572Y9WO/j6zHZ/N6\nvqYX4lvPQCSkoBSUAghEohQ6LziAuxdKgUiKolKq6rigtTZN09ls5pwbDAbz+fyFzcYGJ/dQ\nPOLjh+H4UBWFKkpqIxlN2YCaqm0Naq8IojRcjsE2xu/ADcU5OCfMqEuKnahhqWaAUpLnkvfi\n9L62TlwmNoPJYDMMJ9IbvnIExIBirp0DkYoCm6A3BAuMMYvFQhOqkwjA8zotu4Y9l/nNvsFc\npBQ++m9NcSJtG54+oLYVrbFc4sEv/MZ/xA/+lTs5ge9UM99yu6/C2+aJ3zw6PyKjvmWttX8q\nCAzn3PHx8XDy3CyojXBvVCU7Ho/FZF9q5vlN0ZTirN3e3qki+mMaDpGmcBYABFDaTxUEz2Uv\nmF9TM+s5tMZwg2bH639rKpRLyQfkHG5+gdtdu/7mfbIvhXGYXDPjy7j5E376qX/yaxw+4Rfz\nsxHzI5kfyb1ftFvvqMsf6u1bKh99LbmDc9AWvTHe+6F674cIrapX8vhzfviZ2nvkj4/opSRP\nGLNjzI759j+C/iT0+7iwi0s3zLX3MdkBGaqPZTZb58u01tdubufD1mj3s//Ewm1A0KQnk0k6\nPLn6Qaf4sL7gISAE4kghIBgKFlhf4bX9RPSIDUIjsZbYxtiAW6mqZrWk4BFqZUiMRllKU9qq\nltCSjwiBfGRFL3I+jqLcaT91Z8fCFCuqArBSOEE3cWklVos1MEayHGki+TD0MrgsprlyWRfe\n4+ZBwVBevEnFuTjokbJiUtIOLJ0WdBfkQ2d2ckr7fF2tdNqLDBE0jPFodDKb8atNV9cHz2ha\nQu7kqvXHPlaK30m5V7nDUhdtXal1cphEpTFx7HwMta4b2wbjNHJbV0GVwXpWLRtFYlRUkDLY\neWsSkp4LRiBRlV5VS1YOaU7WsU7g0o7hlUlROnVYbwzrCxOTujSREKj1CIGg4BJOU8l7SHM/\n2YzD0bAql0QhSeT1S3lFSCLONMye5X8v2Uo3nI73Z8Nhf2Nj88nDg62tSZ5kAIOEiJq5fPa3\ns4PbcTWnZuVbn52cVL5dt7uShRiKAWmKceoHIxnt8uAisVPCIEHrVVW96EKrFWyCplbFQgEg\nEqthU+73aHIh6EbaOZIe2VxMci4MKYL5VIlARDqlptGEALCsLTpWy3lz8hIaZZzGmdYT980M\nXl1K3/+XtpxL24ajx6pu0UtlPsMv/6Mfbcv130+m07fc7vXw3ThP/Lbyut9KYld5BP1cE+h3\nDQIYl2r9hlrEZ5EkSdobVt9ZMwoRTIRhCFQdERkX30GSo2fAXY12gDFWIZyd9gnqDSLYSYas\nh+r0qhQL2ATW4Yvc7t4dXLuOwfBbOcXnUBr9TXXrD5OrP+DpY370ady7I8XifP9s12DxGT+5\nx4O/wO5NdflDvXFJd+npN4Zx6Dv64Mf6gx8jtK5eyd49uXdb9h/h6JB985L5RRjLBZYL3Lkd\n/p8/Q56hn6E/KifbmOzCJbh2Y1P0bH+/uPcLu/9Ai0iWZR4+6TU/+uORIJ9Op88PwMAYeW4g\nJoiRQgBH8h4xEgjawQ2eez8Iy+KY3IJCA24lTVmLcCssUSL5FlxTCKTFMuOOxLKA9ypGRIYE\nIOsyyc/BAer80iYyRabaA8DJuvrUEGC1GCPrztyURhtqNLCigsskScXlrA2UZqWgHGkHk4qy\n0ktID2ESIiunzT2z0chW3rUeISjx6WhjdHBw0nrpkrxfDlKkLzi9YeNBo5TwKKOTtndUxKKt\nKjqldyArzkXdclr7pjXeW0fI0rpltfK2iboVQxCrhEB1VGWpEy09452BYiVBVY1UVrkeQ5TS\nrLQ2hjVxfzHrL+c8zvR7k/71wc5u6mMR2LcNNQ2JEISYq6ahXm8wPYmrMhojaSLr9Ou3ChEA\nJBEEdzJdFQtfLPYBsMfyKQ4/J7/Mlifu5CRUNfmGFKRpNAgECUwE6fdkMjHZRnPxA5q8y26g\nnRanPTdqeSLFTGcpmgZNo7wnZrIOxki7DuB1x0BtQKy10lI/seZAskxcxlnGLpWkB5ch6cGk\nWM4pBiKirQsXmoDhBnVFeCxIs54xs9lRwauXPD2jVmcrNrLeFz/y9TCc0Mf/0tZL9jVPD1Xd\nIEtkdoSf/SlPdmWyQ2+53etAvhuv2Lep2K+BRMMgBJjfWjr8nYIImmQw3vzmhGw8HtffMT9e\nLFGH9UymNGwKQ4DECN0EAAhCGkGdt6CSN0oMD8bkvYQW6JbUx7KxDa3Xcbu7n6+TlcK4fw9X\nrmI0/mbn9gokA3XxQ3Xhpi4O+dEn4ennMjuQF2SWOWB+hPkR3/sH3roUL71PO7dMPlZftwLv\ni+hI3nsb9N4PEQOaUj29j/u3+en9OD9SZfWSYChHHO/FJ3UFEVDiLK7fHDy9j0tXMqPz5SH3\nBwBgtA1cXP+4Op5Wo9Ho8uXLBwcH7css0ohwasj7SqoXAkEp24PtAcDGBVKahIU9uCW/ju3x\nIB/Np8tLIZbHSjjGAA6ktfQuyPSpbkuqG8RAkdd2n185kQrwTHIPKwXgyb7SxkYPa1hrWIM0\n5SSjPPdZRlkeXY40E5OyMaQ0kyJl2aSkLDeD4+1LO9qS7rNJVG6yS9e4s3NgRgjgoNqWY1TR\nK+85RBU8zrV0GNLvpGrL8X6rlMTRBuYhPyp42dQ1MRNIoGBSIhuNj9z4prW1txoySRrPtPK2\njiYyEUErUYBnmjbOeunZkOooIsTSeGpXYjOT9WH6YqykucpSWOdp7zCJy9FoZ/cnO3t7j5hj\njKhrVdcUAoDCuPajy5tPn+7HyBAKAqdhrTgHEREGM0QIsu476XpH3mwAN03T2bU9vT89uaum\nD6icYbVSHFWx5KpWEhUpIk0CxNjZP0je4+F288FPR+Or/bSn63qmVK01ykpXJbGB3QA10A2S\nOiKQNlgu1Wqu2paYAdWlyZGkYp34AApoW6orAikCtJYsl/5QOedFRKUqn0ApxQybU3Imo9oE\nTCaTOz/f176BOsehTKaWZwpOCBhMvgUysXtNvfdT21Tet7yYqTYKWhw95r/6E//H/5udTF7k\ndpPJ2z7ZL0AIb7tif4OwCm25YGPImO+o2P+3HCJYevriuZsk64wsX3M7vV4PJpXvktiJYFU8\nP9K0ByIERm51e8pKO9FOrUWr9dI5BJb4JvMdEcYTmh48L7abTzG5AADO4d1buPMZmhoAhPHw\nPpixMfkm5/dlMI7Gl/ToHf3uj/n4AT/6NB7cl1UhL0TPmgqPP+PHdzH4/3j7hrryoZpcUsng\n21k7aoN8SO9+H+9+XwevfI39h/LwM3l8P04PqZNQEYYv4Ru/jn8JhMzxCR78h4WvUEy1SzEY\nYbIZL1xc/eCPfNoHgPl8XpblZDKJMb6OLdVLqR63XQIXMSJJEQKgSCfQCexpbM+5avd7m8gP\nD26TBIqeOYiCbN/k0TaXJ51jMXlPoYF28ELVSlUVfFA+IAbqGjW+BCKiCK0getU5L6Porr9G\nl881YjW0kSyVLEWvH7Iekiy6BEnulw+Os34eFZFCkqq8pzj0Vs3SJKQTWBfTnADGOnL7/PYM\nYc38vEcIiJfTZm6qh22bIW5sVNOQHZdxUXXmqqREa4gScpyENq1D3erGW0UYJX7Avoy2ibYr\naNBKNMBMs8ZqZXo25CYo1orFB44Ngle9CIBZSHttLcJeXf7p/YP/9GTrDzbdh67Vba/HvR5C\noKqipvFlWW5ubhwfH3ffIAONJx+RJMhysVa+mHfqRpcIMYNZINTxP2HhU12Y0w/IMy64OCkf\nf1LV+/nBA1vMeFXoqiaIbVsOARAFgtbGeyaifp/zAW9ekQsfcH6B0rT03KbQ165tPbi/t1jS\nMxNq0rA50gGyHFrJ7ADpwF65Ppgfr4p50zTKeyZNADXVSx/wtJihXPbbhmcn1Y/+hd3aypRS\nMOifXx9GAek04ZFoFc5fknxT733y/K22kg2+BTKhFG78gVlOpa29jyiXZLSsCjz+xP/i/1Y/\n/B/MZIIvcru3+nYv4K3cyW8SiUYTY94frr4DKd1/KvjmjFZrPZ5sld/ZNeyKosJ5Q7D0NOHY\nxnUmPdHwFgGG6IxdLIPDG56hNueK7XyD5QyDMQB0fbL37qAqAUAEjx7Ae2zvvNmuXgtEyMbq\n8ljtvq/ne/z0Nj/+LM6O5EUtxojliSxP4oNfxsmuuvQu7X6g+5v6jRXqvwhjyVhc/z26/nuI\nQfkax3t877b67Gfx5DDU1fp7UhqDcUYECVQcU4yoClQFDh7rR4/V/Yd6ciFuX8KV6/Hyu2Y+\nK8YbgytXrhweHr6OF/tZcOzM0ASAsbIxYQAhPA/shUAhoG3byHHjQjZ92AKw6/4DjD8ABNNf\nI3qJgVIvoRWtkY1FESDEnnzLsVHcoiylLGxVoWooeAoRPqpnCTgWfEnGJDLFlrpzm53P5yot\nVsNa3tiQNOdsoPKcs1z6fVc1yjjWRpQGKVJWdELGQTl0hE87MmtpxjPj/iLwofNzXdxt/Zyq\nol8d5uXjVX1cN3UkaAEBRApiOfWc+tjWumkNkRk6Bqoq6DLYKIRusQSwoPB25W1uYs8GJcRR\nylbqBea5Gowp70mSsXFkLTj6J3++Z/6KzEXV/8Fg56PdzkksTdO2xfFx9UL+mxlVRVVFWiNJ\nJMvEnMmjEHXuwPLM9vnMT7xABDlKdUL7n8rJPbU8oabyZZ0uTtqmBcQQkTFitGahtvHWSp63\n+ThuXpfNd8n2oRSlqWRZrTWaRh7cWyTpNqR51n5BhCxH3kO5pBizfED9fr8oip1JshtzAkus\nlrOqKaltqKrR1Mr7Fx/2q2LVHwwHI3PxahIUkcJkQl9sAV6ecOtdolgz4pmz7G2Z5fT5SjrJ\nyH1LjVxpils/NcURt00MLTUNskQWM/z6z9vJVVz/+By36zRQNjff+lI8x9vmid8kjAIkpoON\n746R/BMFEXxdvn64rt/vN18qMPZmx2AVjAIBTbVSSsVS5ca1nf2oQmdjL8CzJHJgOEtaQ2ni\nZ5X4DHmJuNjrIsnQG2B1quhXFmItpT3gGbe7+/yv+08RPS5efuO9vS5MSpvX9eSqevcn+uh+\nfPQpH9yXcvViAM/X2L/H+/fR+6t44bK6/KHevKayb9Bj8VJoQ7qPnWvKpfjwY72cFgdPq4OH\n5vhQQw9PjjwHuziieKbKO+1x2pdyhXKlH93Dz/8iHY3SvN9uveOv3vQ3Pxz3srooZ69jttHh\nbBm7PmUDXa1ekuDZjBgjjFm+c324f5ubOsQIFjAj1MjGSEYU/fOGXBDGV6MEii1i23Xmcmyp\n56HQKCJhxBaxpbZBs6KyUmWh6hrGuPmCQ6QQ6XWqALp8LiLVACo1W3qXpEFAgDGUGGgaQuok\npdRx3ueOPLkEaS4qYWOIVCRF2kKveR465qcTMgO98QdZexzM3TbrU39nUB71yidVfVi1DSlF\nnT+yOAizySRtedFY8VopNTBxwHUZdNGa2JFggiIRwSro0uvMxNwFIywR3PDxkuc5ZSM17CPJ\nxSWkjVgr7oGfPToJP/fZx7m6rElRN7dcuIDOtaJtz33TMaIsqSzJWqQpp+nXKMJrCswe0MFt\nLA+pXOpiqaqa2poB4WjAgVS0VocgxqnE+t4lunBVdj5Ubru1GWktScJ5JiLwnpYLsCjGKtbl\nzvZuG2YiZJ1kGffyEfs+gjfaxCh1Vdd13TRVPuCNzazf75vDqjMBa9eee+gYXlOrtgGgjLWk\naDTRk0vq5ERGm/TS2onVnmdBw+e8UFxf6VStZmeI3QDfYqnieEK3/tCuTrhuebpPbYQDTo7k\nH/6vuLFFox29sYHpdL3Sfsbt3vrJdpDvpnnibY3dayEwVqJ/NzOwr0KiwQIWxK9qxzuLPM+r\nb7UTNtEQX9WrOk1Tm2RZ3js82H/6oOVgsiwbDEeSklHn1q8AogARWsPZ552PwiQiHEW9zFjs\nddAfUQjSnGq/LGZCGklKAJTC9Rt4eH/tJwvg6Aitx5Vr3+Yk+yqQomxMV8Zq931Z7PPT2+Hx\nZ7w4xgsVeBCsFlj9kh/e5tEWXbyh3vlIj3bUN+yxOIsYcLIPK6iqRRuK8QVsX2k/+N7OydHi\n+Ki9/ZcTrnm10KsVfAvj0Ns8980JUDWYTptHD/Czv4DS7eam2720mw3mO1fq7UuSZPjyesFw\nhtiZVwcmtYZInQ+y7Z0crJq2XS6XMZLT0uvBb8jqWDGfhpEEsVWuB7MWQTxt1BBhrzu2xy1i\nK66WfpQtZq1EBMNeenxQs1dNJWWpVitVrlRTiw+q9eD4FflcFvZtY10SBD7AByg4RW62bCOH\n7jg6CwSrYYykqWQp8l7I+pIksJkkKdtUuqYNImhH2im1kSnrdePzTbhBXu3m1ZOyOaoRFMeu\ndZy0xYJ6J2rYG/gNbkIJiZxr7rmmbtXC2yBdvycMiQiqqMtKZYpzF6wGIsRzLFGlSEZq0JOs\nB5ei0do58MPV9M6UejT8eNj7Xl+nBpAskyyTGNE0VNfk/bkx6T28V8slnJM0lTSVV3F99pg/\nxuGvaf4EqxlWK1uuUDddYprAIOWdS+BDjJJmMhjReFM2rsqtnw7SiUQJZdnkOSeJECFGlCuq\nKwLg0vVoULZ+50qmbaVUXC0oz3r/P3tvFiNZlpYJfme7q+3mbr7HlkstmVlUQxUMYhYEzYyE\nRIHUTTU1pREDIx4QLyAo1QsSSPMAQkiAhEZILdESNC9INdK8wAtdVM9Us9e+ULnEHu7h7mZu\n693vOeefh2vubm7hkeGRGZGZlRXfQyj8+r3m1+5yznf+5fvgE3iWpqklowL02lRvWsaZtXGj\n7Tfa3X7/yBiq1+pRFBvD8pnNY1MkpDPme804RppA1aFCrHjnszqdUzo2wLKAVG1NJRPK09P2\n//bKk5z1GcPaDr/yMZUlRZ5iNmZSUJbh8Lb+2n/hP/zvuXJYp4Ojo3lbjzVzbvcOjHvfDXjW\nFfuu4hmrW0JeCfwKZBfWWRVCOI6TFU/mYjIGh0MxUzJWb7ZTDa1RU1SvNwciznURRZEQYrWh\nQuVpiyVdZUPQnLvKVmY+xqIsCWC2AH8bRhGNNhtqMtXylDAdotND1bnGOS5fxd5dHNuaYzrB\nzeu4fPWdy00ovwrgiWs/aAe39O5rdHjbJjGWWmiNxnCfhvvmja+a7ibffJ6vvyCC9mPYlJ2L\n6mMdIJqN4zgGUG+6L3y4O51OChMXsReGeOnjpTHaauQJ89s0HPDBEU9nJxnzM30K1lD/MB8e\nWd9vf/nvc8HzZpt11opt5MDnAAAgAElEQVSNS1jfKRptSGd5gl/ksuJRfVDTaDSNRZGg1Wo5\njlMUBTMIa9bZYkfaAFUvAjMGwjClyJglnygmHIjTgvFjwmfIlsyU8ALlSWZLckpqWsOgQcQY\nsyV0ijznZcqimCWRyHKWpVSWvDRnCJ+xZvGeWMASlHJQwlhNQGlYaeYpXRyndHGsySIFpCLf\nhfLJ903oWzeE65HrKeUJKrSeFcJap+VDBcU0p0mWFyWBwHjC6tJhOfyB8GoriZvmNrUoretS\nz8kLzaeFLKzACb0DcuJp5jicaso4UlMBq0knlPjw6iysiSAw2keew1GejPXkn6fpt7LmBxvi\nRSlbCoAQCAIKAtKaVTG8pXVlUbCiYFE0T9EqdVxbaZAM2eANHN1CMkIc8TjmecbygukSJy60\nXDCAa102miqoob2B5z8e9F4UMpTxbFJrBM2md3g4BGAMpYlIk+XRTEomVdTu+Bz1G68PGaS1\ntjI0c113Mhn5dX3s/UoAZvEgCILLV1cZY1I5lloc1hgzGo2CIPD82mRqi4iKhESNAQ9dt8zu\nlw/O545kQVfuvkGL7KG5/oQplePg0ksi6jtZWpiS5Ql8h2YR7n2ruHGVfeCHJeeouF0lQ2P0\nnNtdPND+fgURI/suRC8PDg4+85nP/M3f/E2apj/0Qz/0e7/3ex/5yEcAaK0/+9nPfu5znyvL\n8qd+6qf+6I/+yHXdJ7j9PUfsnuFBSA6U6cX9xDjnpX0MVicYOIPgEMeOh4ZORQQFg+QorSi4\nEKZ0hUo1ZgUrCzdsuH6ZTSaTyWSiQiOcdr1e52w52+V5bCpgCaJSLKsGncJK/62/aZyj3T1t\npLAWwwF1e+xkebq5A6FwuD//MYlx/XVcvgrvPEfIpwTGEbT4pY86Gx+iaGAP3zC71+1wf9mj\nDECeYu+63btpw7/Xqzt854Oic+ktpmgrVkcG2mQVq1MuPf+hzv7+fa11GdUHd/y8KAEIQcrF\n9/1PZXPFWIMyRzxhuzfl/l1neKTLDEuS0saUcWJcx2O8drgfHe6r73wNXKgwRKtDq1vl9hXb\n3dBeACHPELtH1nEzBi9AkQBAEASNer3m2UajmNCUC2YNPE81m00hRJRM650EgLWL5Xowhhmz\n/MwzwYSA8BC0GfneSYevNbA5dEG2BM/JsYC2XUOMlQwgC1uwPGFFjjzlScySSKQ5CIXWTqlR\nGGgNAjSgHMdmdlnzZvGiWWYsQwlkpzV8OCZ8QkBKOMr6LgW88HUqBcH1TDtwsrKczsZFWBoH\nABg0WD/2pHA6zdI1KYsIxjocq0qXWs8KkZk5g67eaENslEtZyJqjXWHAiBlKU+RTG4UiCCmo\nWdeH40glJUvQ/9LA/otxt73m9zcb15pCiDRNpaRajWo1lCVLU5Zl7NwiPM6BnNJDjG9RfIR4\nxuOIpykrC1aUMGfDfhYkObXaqtll6y+qyx916usCgmsL5uD5F5qgMssia5EmLIn50m3lHEFI\nfmCtNbevF1ZnKytzyU8iOjo6Wtto7XT9OJkuHkVESZIYY3q9tWkBAJxxR/AgCIKwNisgAy4D\nvHlRnDVIDs9ZYIc96ToY7Z0+BkxQe+3Jx8oaTXbl+8Wsz4qMBiW0hQTGA7z6Rd3ZFqs7TIg5\nt6tWaLqca6B8r3O7p5SKfdRnfvrTnx4MBn/xF38RhuHv//7v/9iP/dg3vvGNjY2NX//1X//c\n5z73J3/yJ0qpX/7lX/6lX/qlP/uzPwPwpLaz//V/+9//r//4n578F36GJwTO4FA+mUwubjvh\neV6zu5ZfIHMrOYTJKj9HrXWWZZzzIAjane7sAZkLweBJ5AbaAsB0SMkUgsHhcDw4wWg2m3U6\nHT+sLzW+HL2eD2/r+zdgAQktJdv+kGi/4IYrb3ddUeQYD07ljpXL2itnhrDRELv3Tvs2uMTl\ny6i9PdXQtwwi5FMa7Zm9183BLZqOl00sTsAlml2+dgWbL8rWBndrFx2SKlZnNHyB4dFhWZbK\npc4aVldXDg8PQ3fly/8Vo2Fc0WHGcPUls3Zl+SSIYErebm58/Z8P7t0SRwdiNOBJenoZpXJd\nx02z1Jqzd5rBkai30F7VQYDVLd1ow/Hs6uajywImt8L0KIyTOE0zxlitpT7yb916vfb6VwcO\nGtbaKIqMMWEYXn45jPN5JHIJZ5szcBLYazQaxphzDzlz9UqyVT63JGbALFlN3ILNpwXp+51k\nRmnC0gRJgnhm8oSnqY1m2VKE762BgWom803GOZhh0ChLMY6UBeOcCQHMSxDhCLRqma9LykuU\nRJYDTGuKCpEe07uq+IEAa5lgFErtKcMYMUZcgHuWhzwIWC20vmeYKFA1CCtinBrbza3/frtY\nLfTZPiAi5DlL09MiPJ1isoej24gHIp5SkXFTECzTJcpyuZqWc3JdhA1a2/Eu/4C/9kHHCbkh\nGCAM4AXgHJ6EBI2Gxa2bh8tMnSEIKQiJMaQxjyfz+8sYC8PQ8zxrtXATofLNzc3JZMI5F0KM\nx+OqglAptbGxYYglx/6KnMHnGkBmpbnAnZvulpM7yyMjY2z9+zwv5P/lz8vhwXyjH9L//H84\n/ClETvIct76lv/U3xf4eJgPmKcuAegPPf8z5oX+nvACKI8kxHJ6+sJ6HVvvJn8l7Cr/yS7/w\nn//soUzmzn/628EXvvnE/+gHf/s/BFd7D/vt7u7u9vb2F7/4xR/5kR8BUJbl+vr67/zO73zq\nU5/a3Nz80z/905/92Z8F8Nd//dc//dM/fe/ePd/3n8j2z372s88idu91SI7paPpYZmLW2ous\nzxggTHZ4eLhkBBEEQXIe4TCERcZWpPONqYHjgHMOYDQaaa2DIIB082N9O+kwz4HkKCw0pNYw\nFrZ8Anlix0WjzSbDkyZZmgzR6p5++XYHSuH2bVTTk9W4dRObW+h03/4ff2wwBq/JNpqy97xM\np7Z/3exft4d3bRIvF2tYjdGBHR3gja8WrVW+cRWbL8p67xFFeCesTnAUeVKWpXLRXLH1eiPP\nc12y176thoNT2eG1S6Z3+Zw7zRikY5tddvVlffVlbTR0gckR37sl9u/JowGPxnmaGcdxQeJM\ntyyhKHHUx+BAZiljXHkemh17+Xm9sU2r22XYIPWAeqoQotfr2Vm+d31cFZISURYXo6Msy9Le\nVnPv9URKmec5gMlkcvt6vPVcvd1uj8fjKIoWP+rB5gxrYS3zPM2ZMoYq2vewYLZQTLlcSrmo\n3kdEVjNbgLTNaNTs1NrCK3LLDBgEGZJM9PfyLLJFjiKXUURpLNOMioyXml1Qk+X4+rGZ8CPu\nhjp3URAnYjbw8zSRs5kgcM4FLANDwjAeh46yK7Xc9wuVlwxMEJq+rdssLkSspSXGKl1MTiDM\ntIy0DKT2lSEiirlNKXJsFIqgxkOPO6qwni1LkpJm95Jb/89NVVP8iqi9UhPHwXXGUJXW5TEd\n3uT73xGjA6RTxDHPUl5qVhZzPic4lCDJCQDnJB1yXap3afUqXft42NxpVd6+miMMcOIcbS0G\nQ0KBPDWLt4kxeD7CmuUcumSzESsX2juIyHVd8JSrKROwFnt7e61WSylVFEWv1zs4OCCisiwt\nsWQhlWoJOUmPG0cgN4/wXbSGZnvntPV5LS59nqaYHp1ubK2xp8HqALguelfk5CWbxrrMKY+Y\nI2kWYfc7xY0vsw/9iCRAKbRaGI3m70GWYTZ98prt30V4agLFbwZjzG//9m9/7GMfq34syzLL\nMmvtN7/5zSiKfuInfqLa/uM//uNa66985SuNRuOJbMezVOx3Bc5puH9TFEVxkbYER2A2mi2y\nOillt9t1XO/BcN0SjD4jySsc1BotpVQURdPpdDqdbm9vQ4rCwBJcj7kuFhlEWUBnT6aa0gug\ny9M22DzFdITGwvK0Vsdzz+PWzbk1BVns3kWevhOtsg+DUKh1ea3Lt1+m6YG9/7rev0WjPukH\njMJ0jsE9O9jF618uupt86wWx+hwPW0yo5Rt8yuoYWJmOJxPlUnPFep7TbDb3du9f/5rAwm1t\ndunyh/VFniwhISR6ge3tWKJS50gTDHad3dtpMg0n49rRIDNnC0ArWwWySBOUBZuM1Nf/GUI6\ntRpaK2Zt067tmN6WdjysrLYdxxmPx2mRGnOamtcaOkcu81QfJAlvLwgSxiM9HA4nk0mlojyZ\nTN6kSoFzcE6eR51Orbc2z7MZcywyZ+YRviqNS0SMMcZY9VKcvBqMsbIsiajagXNeE36qyRSA\nsR6o7kgvK5gBtCZtQSUZpg2VOS8T5DkvUpZmSGKRJixLUWquNbRhxrAHA0XEeKT8lFxf5w7L\nlSKhtOeZJBNJphadSYuSzyJfSq8TmposHZYpawDmKwpUmZYs1sJU3RUABwiItUy09LgJHC2I\nKAMrbBzb1BVO3fMc7Xva8SwRK0vrZLk5zCZfGdeeDxsfa8mm1DmifQzewOS+iCeURDSLRJyw\nNOd5AbvQMWMsjIV0WODaRtuu7tj1D1NzmwkHTGS+y0giCE/LXq1FPKOTWjrf9VdWVmazWVHk\nnk9BSELAWsxGLI3PzNBCiM2ttXrLeoGztxdVwTlrbWWdwjnvdDpra2v7+/uO49gHCt4Vh9ba\nmNwRomTum8Tton19rk5TfUMBmO3aBYM1dDeeIo1oNLH1sprcpyw1ZcGsIW4xOcIb/2S6l8Ta\nJeYKwEWrifGxL3QcQ8q35V37XY3w2lpw5Uxobe///qdy/Hj+5e0ffK7x8s6ZTfLNqokuXbr0\nW7/1W9X/kyT5+Z//+Xq9/slPfvILX/iC4zit1lwg0XGcdrt9//79OI6fyHY8I3bvLjgDLQti\nLMNYBEGQJMljG6y+KQQDdJYkZ57sTqejhXee18AyFqvEGIPyWFzC80LfmCqEs7+/L6Xsrq5l\nBuTw3IIJwnFexpQw2RPr2q01mTVIk/n1SWMSgoULy1PPw/Mv4PZNJMe5uMEAWYGdS++y1JMK\nWPeq6Fzmz01ptGcPrpuDWzQd0bJdFSGLsfu63b1hwxCdDb71Iu89L/zG3Mqi6oGtjnIECHJj\na6XdIyLjOM5oNLrzHTY6lO1jqVXPp+c+WrwFGwzGoDwoD41Oce0VGJ1zuKSbN17jN/41GwxY\nPGJFuaBZCJyUCRqNyRiTsbj9hgBTvi/XNvxGO290hpuXbRAwznHSEkEWZQonBJfMCaAWyvR0\nDlMCMBW9azQa29vb1XLiYadNRFEUjU9mOaBiaYv7nKRxyZ4W7T3kIrC1jS3GmHQBCMtRF2f8\n7DmBtFWG/CrLqA0MTAEyJVkYgzJnZcaLjOUp8pTHCU9jlmUoSl6xzNIwY3mkfCGcQKcO10pQ\nXVE9YJMIScbN8avEOIzl/ZmYSKceOp7MfVM6pI0hJXhH6LxkiRFV82xl50dAakWWCoebwNGK\nM2jJM2tiynwxc4XvoxYYL2DaA+MeKwvzrUjX/DhTo10kY8QRjxNe5KwsWdXlKiy5jJW8qtMg\nLuEoOD7VO+hco9VrzK1z3ycmSSkEgV5bO+2yMgZJhPTsCJdquMrb3nEsTbMsNsakMZKpWLwp\nnHPXdda3mo4fH41GDdOo1WpJkuizywylVPX8uK675D/OGWyZHRwcAKjX6179ocTuYeE6p8bd\npgBwcIsYIBk0gXFaufwUiZ0QaHXZlY/J2dDkJcUjzmHzHMNd/cY/8OaK4iEAeD7qBiernskU\nXHyPGo5F1w/7n//2A5sfL2Iy/Mcbw3+8sbjlw//nv3/kUUT053/+57/5m7/Z6/W+8IUvdDqd\nan24tJvW+kltxzNi9+5CcTyyy8EQuApWVlb6/f4FP/aRET4GeBL3d898YLPZlK5fXExBsCyZ\nK0gTjIVywRgCBQFrler1egCMMUIIABxwfeZJ+B6iEpwBhDJHmT9JOZZ6G8aiOKab0ZQ4Z37t\ndAcpcfU57N7FeHSyz7vQTnEuKpEUv8XXXpDpxB5eN/ev28E9SpIHivIN4iniqb133TZbpneF\nbb4gGj2eplwfxxIEB1esswbOGcCJKB3V4mG91YQ2GoCUeOH7jfuoluRzzcSWICSAnKv+D/5o\n+3/4X1p3bt0vMja4L1/7JjvcldOxSGI6t//D80Ii3LmV2usacBmH45KcIqjbVse2V4wbIIsR\nrgCAE1KWZY1G44S65REL2gSg6mqcTqcVvZvNZosEa/G7+L7/5jKQD6ZxK5+0Kry3WLRHRNPx\nsNbsVGWs1sIP63Ecn/AJywDFsdAywhgcAUYETfPuJE2krSnIFrAaRCDNtEaesiJjRcayhCUp\nskTlqV/GWqUFtOawELrm81ms0pwZYoyxSk6tsDiaKlepml/6slQs86gkw5ViTWW00YkWpRUn\n5XcAcivyVChhQ6mVADPg2trElhGmrnRd1FztKrKaketO/1vd5DwvWJGzxZTr6cMgyHGsUsQc\nqBD1TfReYEGbwKurVBFlEYbOykpQzE1oKI1Z+sCilTG4HgvrqHlC8vZs7N26PioeGDE63XB1\nw9UmnkxmVW9Et9sNw3A6nZ7UU1prOefV4FkURTinnsfnzHCyuGXszdLls93y3HBd85JTPSr7\nt+fXQjK4NTSfqNbJgwhCtLbEzksqjsoyNzphgmE2xf3vlHeu8hc/Pl+0hbVKgxAAQBiPv1eF\ni98lgeJ+v//JT37y9u3bv/u7v/tzP/dzVcHSxsZGnuez2axerwPQWo/H462trWaz+US24xmx\ne3dxkf4GAKWF7wZKqbK8EO0iIqsLxZ3yvInMEWA6O+pPluY53/fzCwiqBAq5RpGBjpWclMsA\npCUATtxHlfcRKAlFCQbUAzoocsnhCrcscyJQzlmhyOJJCfMyhlaXjQYo8/mrNh0TY3Ph4gqc\nY+cyXA8H9+dbihzXX8f2ztNylX1cCIXaCq+t8J2PUHRkD97Q+7douEf5A120pDEe0HhA179q\nuURng/euiEaPq4BJB42OPTw8rO5vPGbf/gfnJITBGK69UtbaT5JVE9FwOFxZWVlda47H47BZ\n1NpcF7osWTpDkeNwT40O+Xgk0tQypgLfz/Jcl6eJZ7LIUxZNaDjg925yzqXjoPsNu/2K3dgx\nnTWTHk03tnpxHFdFeHmEYCHbXtG7Knq3s7Mzm80Wg3MAyrLkjy/ndeKT9iDbI0rrdfAc2kBr\nZAbtdns4HD5MbJIIuhK8YwwCEIADxiAEHEGcVZlLwACaTGFNDlOQLZm1ZeXJpjNkR0rMxLif\npDGLpyaJxHAk0lJZYrCVWRxyjWLquErUA5kL45ncsSUMGHhDWGMo1Sw/1n1gABi05ePccYT1\nuHEITHMUlqcmlmwqpODcIa677cltpTWM5SC7tHQUkhxJwqWwTq0dbHzY1tcZBLKM5TkDmOdZ\n1yXO0WjU/LAxjFCMYDRxhhOdlJNr7vkI61WnCGYpxRPGc6dR7wzyU2s7LhA2TL1TWmInVL4s\nyypRsL6+vtgoMx6Pu91ukiRpmi7VqGiLIAiiKDrOwp//JJiCov1zBkenxr2mABD1bTQqsyz3\nXJdzsboln1KB3QkYQ72OjZfk8J7OUh5rjtIYjeEh3fiS7m7y7tb8yzSa0ObUR3s0+l4Ut3tq\nAsVv/kfpJ3/yJy9fvvxXf/VXvn+6kn755ZeDIPjbv/3bT3ziEwC++MUvCiE++tGPhmH4RLb/\n5V/+5TNi992BwqLT6Uyn0yzLLpKTHQ6Hvu/7tWamIflczcQUmet6AO7unWmYCMOw1WoZJpcz\ngOch19D2lD8BcFzg7NKFcKpUTEBGQrosK2aAG0UJAAvqbdWVsfrJDTCModXFsI+TTs3JiBhn\nS6Gp3ho8D3fvzKWerMGdW1jtYX3zSZ3IE4DyWXtbtLbEle+n6aG9/5o+uE2T4XIRHllMR7AW\nwwN7+19ts83XrrEXPs69uuP7fhzHRcauf1UtJqbWr+nu1hOVrj7GcDjsdrvr6+vj8cSaggu4\ngvyAuuv2JWhToixYPvOPDsXNV6cHh4hGKMsz4WomUHm5Wossw/4dNojVV/9BSQnX2E47Wduu\nu+GstWqJQHY5FmitHY/H0+m0Xq/v7OxEUTQajfCkUbE9QDcaEMdPmrWAdTu9jWQWD/ojrZeV\n9s5FxfaOlZwFADAwB8KH4ORKcE5kiBlAk4ByZcCM2P1WluwWJs/LhCVTnuW1vT0xi5g1ZC2M\nQdUjMokd1zHWFzmMawrX5tBgEDVBvtaJ5sVCAIMxlJaXhistPWUcrg1xRiS1MZxNSMVlo0z5\ncQ0ZZwxCwnGs45JS5ISstWF7L6B71Qpv7gLMGLpd6/vEGCqdFGvhuu4kQRyfKv4ICc+D50FK\neD4L63OzBGsRjSmNQESe4FJK3/fTNGUMfo2CuuUcWZbVagtheQCA1nox2CyEcF233+8rpVZX\nV4fDo0a7mx430BBghNfr9bTWflCLHrJwnt4p7Hk52ipcB+DedeJcaR1FunQdd/25d6Lx3vMQ\nNNj296nJsChKW0w5I5vEGNzUN77G613peHMq02qdChcbjfEYnadmov3exFNrnngzsvj5z3/+\nS1/60q/92q/93d/93cnGD3zgA9vb27/4i7/4mc98Znt7m3P+q7/6q5/61Kc2NjYAPKntz4jd\ndweMhWVeo+N1Be7v3nukC0We53meK6UUY0mUGGMqQZMgCIqiWGR1nU5HSsmFjC9QWgfAEMqz\n9ML3wTkMLeeUHYHKHMnlRvm80XSG++b49FgURclQtLbr6Tl6n28RnKO9wkZ9mOOkyWRIzS5z\nzyZbG0089wJu35yvYgH0D5Fm737J3RIYg9dgXkOsXBUvzOzwrt2/Yfq37WwMo0EWSXxalFbm\nGPVtluDghlnbKutdaqzR3esqjk6Hns66vfyBi/qXEBHn/OIudtbafr/vuq7vNdbXnel0miTJ\nieeEUGh36/41fzAYXH3FmIJlKY72xd4d9PedyRGPZjCCLS4QTtJ8WqPMWJrw+3soSlcJ5oV2\n9QrrXS43L5WddXg+ndQLWmurdoparbazsxPHse/7RVEs1V29fRRZwkRQnS7nAAcB9W7YaonD\nw0MiWyntGXNGae+CbA9gRQGAMcaCIAiagePwKJqUZdT6uNf5Qbe4XyS3Sp1aVpiVSxgesoP7\nMprNK3YtERFZLUrL/VCGNUHatVHhZLktwTmvK0vWxiUvDF8wf0UJVpRSgbvSuMJwJqUhJRBE\nRyNRT7hLYJyTVKQUlEetdWx+CGsvGlWvZIYYAKXI98+YUtTrFIZIEyfLnPHkzOtuNJIERKzZ\ngeOCcxAhjSie4GSQKywYE81WB3w/qJcnete+77uu++BTqrWu1Wq+7zM2t0prNpvGmH6/v7Ky\nMptNXNctuVclHLSFZp5w8DB38mJmo/45D4/XEFW4DsD+G2QJVVKFUGxs5oL5F9FPeZuo15Hv\nyI2rNp3pmaYyBgOmY9z/V716RbzwMiNAW3COdvtU3K7Iv/eaZJ9OxO7N7/DXvvY1Ivr0pz+9\nuPGP//iPf+VXfuUP/uAPfuM3fuNnfuZnjDGf+MQn/vAP/7D67ZPa/kzH7rsMkgNFPBgMHr3r\neWCMdbtdOkYQBMYY5biZxrl523MRT2h2HArxHGxslXEcu64r3SA7kTjhcFASkVLKWnt0I5/s\n0lf/cSqEsNYo6Vz5sG1tse5Vj7u10sKTQJXnIhgLweBKJG+J8xmNUZ9OZgXG0OzODcfO7GZw\n9zZmCwX3ysWlywjew41jpkQyscM7Zvd1e/vbNpouaMsJeOFcw08JRNEsmbDSUHMF9VVy66i3\n7Es/XErnole02+3OZrOLVNotIY2RJ1673T48PAxq1FlVlRmAMWYwGDwYb7aGyoIlM3brq87N\nL4vplEUzFDnAmFo9TtZrUtoxlvRxMzZzwDwGBkeh3kRnza5t6s1Lut4lz58H8xhjtVqt2Wze\nu3fvcb/FI1Gv171658G3RnHodPqwYOFF2B7n3HVd13WllI7jpGk6mSwXTgCAZXLK+AjG8Hhi\nsymODnGwJ5KYwZIFyBARkQZj1GqYTscya7JpYYeZTpkxnCxKgyRnqeb0QOyBw/rCuNJ6PreG\nGIdxRVqr6ZrnN6h9mTqXyW0wANIhLyQvRBCQ59ml1RER0oSlCWs2O6QCbZBlyDLoEowjCOAF\np7riRQadk5LLotZSodlhoZMeHh4ubm+1Woyxpavt+77v+1LKOI7r9Xq/3zfGdLtdKWW/39/a\n2prNZmG9+TAmd/bk6fCbeRGdsxxae8V3ahzAtI/P/+cCxASVURytXbYf/0m9urqa4Z3oU5iM\nMTykb/51tnuHihg2JwCtDp7/Yeej/1bVFopMigLD4SkZabXf/fLiJ4g317G7/h//28HfvPrE\n/+hHfucTtWsrT/xj3yZ+4Rd+4b0UoHiGC0BbOG64usoqxbjHOpZzXqvVhBDD4VAIUVWju67L\nlHtxVoe5DehxyZFiTDquq5VSHEZwUdUmawsuFGPIDDgTInSEzPzABXcZYAlFSSApPY8xEAE6\nT9NUCOF5nhFKCeQGhDnhyx7niwqJ1gob9eemFESYHKHZpSVuJwSuXMPBfRwea4qWOW68gY1N\ndN9zr+ocQqG+wsM2d9p29Sod3bH9e3ZyQHlBXnCqzEwW8UQcHYCAyRHkTWqt2B/4UZ1OKGjh\ngn5l1lrxlizEjWZCCCHE+vp6rWmkUxZFEcfxwzgiF8z14fqkPpYpSLIwmqUJmwyFaGA6Y+OR\nyDIGw86QwhLwAEJR4KiPoz5//ZsO447jotGkbs+sbdm1HZt3I++RfSJvCXEcN1odQ8viZ6VF\nUGtMp9Nzw+qV/IpSWFztWwspvXq9xSC1RpaVaVoWRVm9qmeUAhfQbDeczXqe2/h2JHXiu6yj\nTFAzwwE73Bc2B5PzSjUGRKVMB7SyolvXFC772bDM99MyMVJz10Pd2Chhacnsoo8ceGx4bFDj\n8EWpiJzSBPmotsKDD4dqx2NqblPLAW7ASwp8u9hqbQyylKcJrEWz2eROUFpwjiBArQ7HARjL\n8uMwUoZociqiJAk0ru4AACAASURBVAR8H54HpVitCa9GjIFLv5IION5HTKfTjY2NsiwXFQ21\n1q7rHh4eLqpSHx0d1ev1Xq+3u7u7sbFhyjxUbqofoV2XHJpzWV3QlRWrA3DnO6aKBnGhGGMb\nV7UxRmvNpPsOGGTW6kgztvlhOR2WU0uFBhlEMxy8Wt7d5h/8IXEyLDgOGnWc9I6Px1hZeW/l\nKJ4i3qXmiXcL3yN39X2FwoDLYG0jmE1GJ+XkF4EQotVq7e3taa2rsW8wGDRaneKiHzCHXiiw\nU5KSkgkZpPaMyEV1nicgjxtift2Jjnvvk4TFU5Ob+UzChevVXAC5hWAoDcrqcJrzFcFhLsw+\npUJrBeMBFrlda2VeDriItQ34Ae7enSsYk8XePSQxtnbeo/XF1mC4T4yxeo/Ve3z7FSpiW0TU\nv2WP9m0aA4Q4xnQoCRoAEWzBmGH/+k/OjW/Y9hrWLpnOJV3rsjdneG+D2PEizypJ2Eanc3R0\n9OhjAACOx4SAAaRDdYfqLXvlo9ZvoyzYdMAO3nDuvFoOB5TMWFHVSBmwsydIFnmKfsr6+/I7\nXwfjcH1sbjMvcHubdm3bNjtGusT5E0jKWGv7B/dbrRaUv/QG5RrdbncptvQm2NhYI6LJZHRS\nJqEcCAnG0qvX1u7c2TO6Kp47rduTUiqlCgumeO35hr8dJjdnQmZ+A17dNtvmaB/9gTjttmIw\nlu3uqeHQ9jZs65JsvhAk/Sy5negZWEpNQXWNKBVpycxx6RAxlFaMcj6DrHm65ZVc8GQfxedn\n7mpSeyWof9Dx6/OeAy5O/VWLAmnCT5p+XNf1w3qqAUA5LAxxQrYbhGiKw32Kz4rVGIM4hgVr\nN8DUvNO/MPB9/4TYKaW63e7BwUGv1xNCLHZRVGpeS5jNZq1Wy1q7u7vb6/WKeOaH9RMrnQdh\nChrffkBbEmACzcvzl4csdl81J1IE9YazeilDlURn74T1uRAIfKy9IPs3dJKA+cgi0iXGB7T/\nuu1t863LLDt+PoMQRYH5SoEwGmHlrFXP+xWWuLXvdI3du4hnxO67EpYQl3Br7UazfbC/t9Qt\ne5LBWUp7VevaIAim06nv+3me12q1wjxGEhZVDdCiDajLsNAq8TDIgJdgymWYHbtEZGQ1M5kV\nHsdZFngyezGAc2iLSiDqsfinclhrBePBadxuPKBzc7KNJp73cOcWsmN3j/EIaYpLV95zqYqK\n1S1e/6DBNl+QjOHqv6Fp3+6/oe+9Zl/7l9Mbz4Bml7zQkkUW8/s3cHCb+6For9v1q9Tetn6D\nzmV4b5nYlQUB89omebHoYAXpgEssrlPyFLUeCUVeiGsvyK0rSRLnumCzkRjs0ywRUaGiyXIT\nxgnIIouxd5vywv32Vyzn8Hw02tRd02tbtLalG22SLr3lia0oin6/3+l0amEtWghHGoJQfrvd\nvkj3RqfTyfN8qY0XVd0eyrKcXrrUPiHH1oKIt9urlnmlBgpoDbIQnqh/qGV2dHRzJlTuNSho\nULen9/f4aMi1AY6Vc5KM37rO3Hu22YLru9j0ilkpjiKWECuoIW2NkKQ8ypklWDAIzgELNs1U\nVIiaYxu1IgDP9q0ZzfR3mP2oH7zoc48FdSJCkbM0YYvBWdd1293VVEO5CMMzBa9lQdEEeYLQ\ng+8gy5Cm8wfADVBrMCFRFhgXYByBDz9AcPxMVtQWQLvd7vf7q6ureZ4/LLp5gsr2cDgcHh4e\nbm9vZ2kMwPfCkxqSRYxvFfa8Qaex5Uh3zhIObtpkygCAwDmtXuPSs67rKi+4mIbBE0BYQ5Ky\n7Zed8WE+MpAOdIE4Qf96eW+bbW6fmeWbLeij+RheSUu+793GAIDwztfYvYt4Ruy+i1FaGEJv\nfTOajpMkKctSCBGGYaPZBoMpi4ODAzt3BWVVu7UxpiJ2YRhqrWvNdlICxz6wBDyylcGcdWSS\nzoVOlTFIn0nvJBYwZ1FZZENveSF18vkEZCU89RaXRcpBs4vJEc7mZOE+QNdcF8+9gPv3MDw2\n3MozvPEatrbRfs+0jz3I6pSD1tq8Psmts9W6aG2JONcvCntwKxv1bTrlrk9h0yx9Tjzl8ZTv\nXYcfUrtnVy/p7mUK24zLxfygVepxeBkAVBYO89sl5OMFA7iEdKnMT4/J49Okv19njJFUkIq8\nUK9uQ7qmuVlkKYYH8uAeP9jj4yGPZ8wsm4ZZxgTBWoskRhKz/XvqW18CF47ns3YH3TW9uqHX\nd0ytZaXzeOccBIFSqswzKbzFwE9h4ASNnlKHh4etVisMwzzPpZSMscqUuQq0J0milHqT2N5s\nNuv1eq7rVo5qnEMIVmt6SQkJVGGvqt/CaJi6rK22k6Ni9tpMuqXXgFen1ZHZv88mI24IZOc6\nzEkqxkMKQrS75NaUuNrORyWNEsSGF6gFVAtMnIlZxo2FZZUUHYxl01zEhRc4tlUvQrKTu0gO\nEv8raf0Vz/3v3CiWD5YCSikcH4HPFrN+RiOeIllwDKlStEEAJpl0oc2ZDABZxDHiGHVH+H43\nSY4AtFqt1HDpyk6HHx4e9nq98Xi8JLq+hMlkUvVu7+/v37t3r91uu647HQ1anZWlit50ZJKj\nc0pApMcqq4kKt781f7kIMMDG1QLHIrHvGKqgXeeSWL3Mk8jqALpk1tDkiI5umZvX5eZzpzsz\nhnYbg8H88mYZ0uT970hBeBfkTt5FPCN2392oQncqbPUarTJPpeuXBlXTvuJOuz1f61etr8YY\nzvlwOKxa7SyhMPAltEXVPCU5XAkApXloEM4UC110rJKovRCcGveDU4ZhSmZKFDMTrrzZR1ig\nNG99YeS4y3G7yRE1O8saKAA4x9YlBDXs3psPeWRx7w6i2buQluUMnkS6QFAeZHWOe8rq5vtY\nvPEVk+forHOmdHvLSqZrDTM6ELMx1/kDjrQG8ZTFU7F3UwQ1tNfN2hXT2SG/AS7prUXszIKp\nlJCPravieEgXUnLFwhwtHS5ci4XMmM4hJNXbqLfLyx8EWZQFy2IM9uTePTHqy/EAUQQCOOMP\nnoo1SCJKIuzeEYDgAp6PdseurJnVLdrYMWHTCvXQeJ6UstFoeJ5XSQZubO0sZfSMhXL8RqNR\nq9X6/b6UsixLa63jOEopKaWUMgzDNxcwqjQC19bW+v1+o9GoHM/Ks2EkxqDUabdBo+WsP9dN\n7mej78yKFZNOyK/bo326exdxPG+SYAA4i1OR3kMQ2kbTuHXp9FomKtkop1lhUxZyG3o2ye0s\nE5nhnIEBIBhis1xEhVdzbKtW+NbmdzDbyyZfzZrf59ReCURt/tg4jtjYbNbqwip2UkdhNKIJ\nZTF78Fsrl9Wb5PjVF0eeIU2Rn82FGnKoVIByXTmKuXSgLULH48cRzoddyZPrORgMGo3GxsbG\n/fv3R6PRzs6O1npwuL/SWz/hdlbT6Po5SVgA7Wvuic5OMsX+LTpZrDoN9vwr3YODxFrLAKfS\nn3/zE3pCCGtIUuy8Ikd75eAQboA8Rpygf9P0LuuVTeksjHhCoNk8lWqfTCHVcrfK+w1Pq8bu\nPUoWnxG79wO0hbYAP+MbUVr4fs3z4moWqWxzTlAVpmTR5CSQYIyp/l+V4uVQ53I7XZ4GUaTz\nGI+1WxfK1UKRKedHJRG82aPn/tIiFBqAgXwLo6Ry0FphZ7jdkBpteME5J9/uwA9w5xZOyoPG\nIyQJdt7xblkOSAbOkRuQRdpfYnWstbZMN+9+x/TvkWDIsxQcq1vux35cEIrhQTw9YIPbvL8v\nZkOui3MYXjRBNBF714UXot0zvctm/XkTPJC2fiTOBhQf+3Dn7EUuM+B43hRCOAElZyuxsgjB\ncd8f43A8cjw0uuW1V0prUBYsjZBM+P07/O4tMx6LNMLDxBqtQRIhifjuHY5/BhfwA7Tatrum\n17bM+g6FTVrkeZ7nKaX29/eroHgSTYXfWCwDlRwSptZsM1hr7UkV/2I45yKq467rMi46q+un\nLvUXIMzemtfw3MNXk3gYyYZtcfJqNB1Sf5/HCScCEcjAAHHCy5K1jG1x8huSrapkaNi0EJPE\nRqhJU/NNWrBpohLNAUI1ABCbZCLKfM8x7aD0fFveQ3xY+F8pW9/ntH8g6Gw7K6s1JwiL49hb\nFaVLo7kT7+LZSoVaE16IE5JUKRV7PoxBmiBJ58KTSQlXMCbcKEUeQSoEPhCg0WiUZek4zkVU\n3KfTabPZrP5///799fX1g4ODittVrbLjm4Upzxlsgq48kTgBcOPrZtEed/tFXjL0ej1jzHg4\n6HRX6HHUBt4OqqAd9cTKjpmODZNUpCCLyZAOblJz0+588Mxg4XkIgjOOFO/vYrt3RaD4XcQz\nYvd+RqbRaDQ450u5npWVFc551UWxdEiVIXJdt1YTieYPcju9sEkounj1qFPnAPyQRcfVRGlC\nOrHWEBeP+BANKTjoMZs8TnAetwMIi74UJ/A8PP8i9u7ipD6qyHHjDaytY7V3zv5PA5bm9muc\ngQyG+7QYcTqX1fXv0t1XQYASIOU4Lv/gxw2Xpet6zQ/UB93B6rXyamRmB+LwNga7PJpwXbIl\nhmc04gniidi7Ifx/wfMfZKLOOzsUNsHVhUj1mfq/QF1cBm/+1UI7l+qtzqeELiEdbGxsTCYT\n4eul562IWNA6/8S4gOuT62P7qn35B2X/MNUFkhk7vCv6952jvhiNKIlwbhEVqnDmDPGM795x\nKp4XhGi2bHddr22ZtW3yHFao8uQLJknSDhvWgrE5/coNSiY4A9f5w9jGI1mIUqrR7s4urDmj\nNeIpxmMkMzIGcAL/Jb/Yj9l+7ITk1mzYMMM+HfW5Nkx6mHvHgk2mIomp1TWttm2tMnUpiCZ+\nMS7sQaKnJuDkO0Ve8EnCY71wg4C4EEkhgplphDrwTZEj6eezb6TqRzf8/9EpObgA2UVKdwZC\notY84/63vINArY5aHXmONEGWnzHs0SWmJaYztGthI6SyPMdQ7lzEcVw12Gqty7KUUqZpGk3H\nbq01PtDx4Bz6zyVrXT0tPTEa9759+ngrhy6/JLQF467vUJZleZZC+Z48Xng/ZQQhkoRtvyKP\n7pmjQ+bXWDK1SYLRnXJ4hXc2EDbP7F9voChPi+1mUzSa537w+wEE2Gc1ds/w/gAB0vFhy8X5\nVSklhFgK4FVwXbfb7RZF4bouY8wRSB8Y38zCTCTlY7wq0uXS435A0Xj+OmQxiJBPjd9+xHN4\nMlm+ZSjnTJ8sgMmIiM6fUTjH9mWE9TNp2f09RNE7KmJsCWmB0QGMhjqeTJWDB1ldNKbXvzJv\nj2YM4+nkyssFlIkiRFHUbDZXVlYGgwGXOmiZ1eeQR3a6j8M7fM7wiuX7aA3iMV77RlnkrhfY\ndo9WL5nOjgk7j1BLWUzFrvbas2i5J+DN4ZxNkRvNTME2t1fTNJ3NZsqDVEwvhFKK5DSkdy6E\nEJxzzrmQEBJuQO01/QFoo6ELlsywf0f274vBIZ+O+KLg8xKsQTRFNOW7dxwAXKDT9erNstF1\next6bdvWmkWzmTnKk/xUf9FWgsGPyW4XIaW8SGdlnmM2xnRCafxAHwlnzmaNdYLsTuSwNGyj\ns05bU3t0iMGByMv51eMcYGw6kaawqyCX67V1brfdyaabDbXZjcuRBjerjq1nepbJuBTHrbMg\nIDYinQo/Nc3AhIEe3RPf/NxR8F9HrX/T8l7uwHW5gBCo/pUSnFdROubXLhoocl24LqxFliJJ\nzywhQJjGKDMkSVCWpe/TubUTnHPHcQAIIay1lb5xNR6e6AV2mTu+cf79al11hDo91zvfNump\nxAp613jYAoDSghsGYDqd9nqe1trjHFIYAsdDZZDfPirvO1oRvctyNtZwbBYza2g0pKNbptZj\nz71y5qIwhlYLg8GcniQJXK9yz3sfgp5SKva9imfE7n2OVCNQSkpZBeeCIGi1Wuf6Zkope71e\nVYE3Ho/b7bYW52QfFzNZj1uC5da4G54eX+bMlMgm1n9UW5a2ePsKFcph7VWMB6faxdMxGcNq\nD1mnVmnZu7dPu2WjKV57Fdvb79DS1hqMDsiWYAzJXCoC7XW2dPeKjF79R1MWAMAZ8jTrXSl7\nO6dhjclkorVeW1vb3d1ljK1vrmZZ1t3UVz/K0ynpWe3Oq3n/HiYjLFmWSS5STfGUxVO2e5O7\nvuisUu8ydS/poHNO3wznHCQdRyilPM9l3D6yS3EJyoMQp42xRHB5WHmFVVucGumFTlNrUKZM\nBedzn0aj0Wg0jDGz2WzpV0JCSHIDtNfKD6G0mpUFognbv8sH99Wgj8lQpMmygs/i341mfHCo\n8boClJAIAtZZTa8+j62rqrvN/Cav+jAkg3j8pQDn3PO8IAiUF2YPD1RHEaIxzWbI0/N3qJoq\npM9qHb52uUl5mN6K8sMsaMGv205XH+yzyVDYBW6cpPzOHdQGbHWTak27usJ0V0x6nWRk5O2x\nHhnBreuULV1OUhUXkthc29gCSSnSqfATUfcNiPJ7NLk/dP9+XH+pWftIR7bnXUtcIKxB+iwr\noCfgAlJCSMgLdNtwjiBEEKIskSZIs+M8r4XhzHVDY9hgMHVd8jxyF4TkpJQbGxuVmGLVQ1YU\nheM4o9HIcRwpJQAi3Pn6WKLx4CUPOnKxGthaXP/KaSsYF3T1I/PfcgZm8karA6vH43Gj0RBC\naK2lkCDLwJ9emCesIc+x8bLo39FHfRbW2GxCcYLBHd29ImZjW2+dGTukRKuJk4bsyQQrK+9R\nmae3jaeTin2vpnefEbv3OQhINXobWwBIF8aYw8NDz/M2Nzc55/v7+wDq9XpluXh4eFg133me\nd267PtFZYicfIxULwGsJd3CmzC6akjd5dIaVAS63hXm7Q45UaK+y4YDs8beIZ0TE6q3z9/c8\nPPcCDvZw4vRhSty+iZUVrG0+3RHQGqQDIgNPWEPcAMpBZ50tG6QaevVfTKUOyAFBpQinlz+g\nlybIOI6VUuvr61EUVbMa5zxNUz/kWTt6sWcuzWh8nx3e5oM9isZcFwDYYqKQDLKI70W4fxte\nIFs9s34JV14KvJb1QkFEjUYjmmVFfOxqgmIwWKZTj8SS4gnnXPH6cHgaXXZrSM5KiGQR1EPK\nH13XPTo6StOHsJ4FcEmuhBtQd8MCuuJ5szHbv8f7e3I4YMs8jzHBT3Q3XK3z2ZRmU9q7q8X/\nC8cRbmBaXb6yRVuX2JVrisOxuFA+teJzflgvLbQ9L2RukMwwmWA2JfOQ8E9134SLRof5wanZ\nF3xZ+1DL3S7SW5FfK7qbWNmi2ZHZu4fhkTjJSpPFLOLRdTQC21yxfo28Zun0eNxaLaLS3pzq\no6LMzIqTd0wxTlRcyBNqSISkFGkpJrFtBqYWkNEm+/+G8Ten4YfrzY+tNrZdr4ZK460ssPQN\n5iE9UTFvSAkhzmd7SkE1UW/MA3hlgdzAASmlGo3mZDLJMiYlPM9WAbwgCJbsg6WU7XY7juPZ\nbLa5uel5Xv9GGvXT1d6y2RaXaF07s47Zf93Mjk5Pq73Bu5vzHy1Bc1fBFlrXmm2y2hiTZZnr\nusSfboeC40AqhB3RuyKnIy1cy2NYjemQhnu2sS4fHOg8H142V7azBpPxe0gH4AniWcTuGd5v\nsITkuE+Ws6xer89mszRNe70egLW1tTiODw4OjDEnWsfNZjM9b85YKkhaTExcBE6DA/BCxMdr\nxCxhZWJNQeJNC+0tIX9C8pJCorPKRgOcFEcnEZFl9fb58wfn2NhGWMe9e6dp6MEAswjbl55W\nRwVZjA4IBsYg49xYKAfttWVWB+DmN8xwHwA44ErSNr72kZKfF0kdj8etVqvT6ezu7j4oai0C\ndJ9D+zK7EmG6j/4dPtgXsxGDXa7DI4s8FaM9LxqoN76addfE1lXZupSPw/uFNtPR/BS9wNYf\nX3h/SfGkXq/396etK6dxMycgxjktJOazGdXPq30Mw1ApdRFWd95pzHneyqYFtCmhSx6Ncf+u\n6N8XowEfD7ng4GKex/M81xAJxiyByGZZXuQ8mqo7N/FlkOTw/brn592Ncn3LrGyaepPO1Qlq\n/f/svcmTHOl9Jfi+xXcPD481FyABVLEWlkiKkiixh1Jr1N0UbXraxFab9R8wJx10ltH0J+ii\ngyQzmenEg87Dw5xmbKY13aNWS5RIimJRxSrUgjX3jNX35Vvm4JGRkZmRCaAKKBVJvBPgGYuH\nR/jnz3+/33svDG2/Xck1DbuyRDLHPNJFcmVrt67BKJiNbpes7akRCseG1TWtN7rFSTl/L3Za\nwgu119bzkdx7hChmWkEDSkIKnOR0OidhR3V6yglUO6yFSbLBkJWyeOewOqnrAn1ehVLMUyOp\nFpJbDWiglPQkYVGhA7tueSoZifLvZtW9SP1K2P1a1+qvt4hUEkquYXucgzOYBigHoWfjEITA\nceG4iwIeaqPOc9d1mzuZVqtV1/VoNLUsvbERnpycS5YTQpycnDT/Ho1GpvbTwwxAkWfMdFfH\nizufs1bXOq1x9/tn3wEh+rVfMVZv84RCDqrqWmtdUweA5fiMghBIhWbheUHexZ6LeY3Nt/jh\nfRFNiOchnussx/hh3d2h6Zx5l7oNQRtVvVjbyxJFDvv5ZbVwCvlpSYOvwUvxxEv8zKJWALG5\nY2/4gagKbpiDwaCu6wvmqIZhUMPW68SDFxSFawnENeAW5Q51XbUkdlmiAZJPhb9x3b0sp89z\naWAM3QGmI4jTGkqeaakQ9shVnaCgjTc8PH6E5FSVWRa49yGGGxhuPL89AwAohdmRrk/3TSpw\nA50NcvloH95X+x+dPgtQjP7ab3l5nV8lWUjT1PO8a6JKKNdOCCfE4DVZJmp+SE4ekfEhj2ek\ncUvhpsE5NxjPq6KICgBJLE/2mJRlqwe/z72OdrswbP1M1sSrMFYcTwgh83Ee3jn7K6EwXV2u\nzDbJish6jceyZVmrMVOfBMwAM5TloretgFrWpK5gcWf/AT3cJUf75clRLTJWag2AgBgGp8yQ\nsqLMVIBUSFNzdFLtPjR+tOjbot3R/W2xsS0HN3SnR/vDEAC33NUSndZIEyTz65qtGhACzIBl\nkXZ/vWnFgs+dn6CyB5bVM9O9PP4wNT3phmh11Mmh3HtA4+TsNBCCjE5YHNFeT3Yq1eqh084E\neL29PXow5R8kciSrXPeYCgSJMiOuuNYAgQKoRiFImZhRobu+CFoqOVbFf5nOfjQbfKXd/80+\nbVtXiVdWoSQqiQrQDFKjUgBZFPaaHm7D/II2CBCGwXxaNEm7gpqWY9IoKgr56FEKtISI1k7g\nFWmVHspG3JFlWcdxl2udN+Ru99yF8vBDPV8ZUQ6HZPOViy8oFBy3JcrM4jAoagUlBSHEZAxl\nTimtifVEX/ePAdtBFMPr0v4Nlsyk0dJpCiUwP9bxoT7Z0177UigwRRCccz8xrefWjliMmX4G\n8NKg+CV+lrGQaBHbBLIsi6LowgMs68oVZ1WXSujHkcfbIfMidbK/+K8SJE/hTOU1xI4RULLo\nSdkclfykQgoAlKI7ILOxrk5nwKoCkxMd9sCukOhyjldexegEhwdnioqjA8Qxdm7BfDqj5idC\nKcyOUK3Muhkm6Wys4dDzkf7obbU8FJTi1S+T9sBhkV+WpWVZtm0nSbIaQFLX9VMG0FEOJ9RO\nqAev6SqR8ZiOH5Jo4lSJNZvkpS71qbGHlgogQlknu/XjDwko8QLd3xKv/CLoDdXqGO2wzRjj\nnBdFEUXRVYmxS5jOQhjLOeOclwXVWq3+0ixPl8m576hMiNs5b5/Bued5a3OlPjmYoZmB4ZAQ\na3zjTTQ8L57qo33jeI/Nxmw2qUUluWFLWTFuNnyPM1OIEqcKxDim+7suAMtmYcf0O2S4jc1b\nYvM2tT1SFiSKkEb6qq9LA0rBMGHaxPXWX4Ypg21dNxFPKPF3XG/bmX6QVu9nplYdoixHTY7p\n8SFbGsgRCiHIeMTzQg1KXWfS7Yp2S2JI4o1OfiyMe2l9UtOEdmgViDoueFQZ6nRMQwOFIAeR\nMc106IqgJeWBzv7v2eSf5ptfa+/8dp93rIXBsoBUEOJKqTKlp9VKvXj8OZc7As7RsmGaejh0\nptOMEUiFbrerta6qyveD4+MiTYVta8fRxlLorTG9r9o2W84iLw8nd2h459y5rZS++11xluxC\n9Od+iV04PTmFTWUhmWG5tQIlkAqEcoNqqUEImc/nnf4wewFCCkLg2MgybL3Fjx7KIoHn0Xiu\n8hLjR3WwTfOYOK2Lz7JtOA6a6rZWiObPLY7ik6/VzwVaU/VCWrGf0SrgS2L384tMwDCMCw4E\nhJBut5tcseKsXmaeUhK7dL3jFELB6bDkoDZtXRWLp+eRLubyGtMTTs/ckp/jMkEIwh6ZT/Sy\nFiIqTE7Q7V/nutwfwG+dU1RkCT64i61tdHufdJeaWt0qq+MG1rK6MtN3vyeXwkAC3Po8Gd6i\nlKDTWSzJVVUNBgMA8/l8tSjbKGSfcpcYJ16X3ng1LL9U27R9793R3gf1eJ/FE1pWC0O1NEt9\nzxOEpWmlBeYjMh8Zoz3VGeCVN/32ZuYPBLVqx7U7nU4URXVdNzlay3BPx3EaXx5CCM2r2V7k\nuR6htCxL2/SVmK0W5KwWwXlJd5nAPX8damqWLy4AoNFRLv5taGbA9jC4WS/refE0mY39bNba\nfVRkqR3HYJwsd4cyw3Gc5sesgckUk6n+6C7qElJKbuggRGdABlu0s0lc/yzVV2kwQrgFw4F7\nRb+s4XO28+SbDaVQ5jrPUQee+4sOeZhQmtst5bR02BOjAzIZU3V6+6aBNKF5jiBAP9VlqFpt\nRqrY27TSG538sOYfJdWeqDKEhmhJkeQ8rgx1euXTCnlFCmHMMh66ot1SYldF/8f08O/n278R\n3vx3fa93trtnWRoSUkDIRXJaLcGuuTprKIGqgBS8KApCTAbMC4ja0hK2ZVeV8rxgPp/kOclz\nYhhwHGXbOt0nvtFp7KMBSCnrugIxCUXvNfPCurR/V09Pzv4bDsiNNy+en1KBMNLMNwMwURvM\nUBqpICaFyPnBaAAAIABJREFUYdqDgV2WBSH2i6A9rocsQ2tIe9tk7wNYvkwSIirMT1QZq9EB\n3blE7AAEbZTVglIXBcryZ0ohqzR5IVmxnw3aehkvid3PL6SCbXumea6I4jhOrchV/Gm1xUee\n1IdlFDaDqApBbaVhUCiNTpdNOWmH+uRw8bAkRlehjJTTWfOKhEDqMxeo6uNa2a1Fw+2iqc4X\n3rFQApNjHfaJcfVFsVFUHB/i5NQcUEnsPUY0x42dj2/grjWmx7o+z+q6m2s6sEri7vfVcp8B\n9G6QW59nzSeazWZa6ziOG6cPznm5UtY4Pj4eDAaU0qd3mPM8j3POPJYk4/ZOEdxAlalkjPEj\nOj4g8xHNcypqAUqX9wiEaFkhGdv/9LeVltJrI9xgm6/kvZ3q5p0eYTpJEsuybt68med5w+ca\n6S4ACdPz/Lqum2yoTjfcGu7M0qPlr5QZmptErBT+qgxaYXUAMQzDZxXkPhNc173Kgm6F5yWm\nWf37zsboZK5rb3/XuvduPTlGEttZzpr0CCkhatQl6vrs5KpKkiU43MW7p/m2fgf9TXLjNrv9\nGjo9gK+xvWV8weee5hdYFjrPUJVnk17UpN7rgXXDze7Fpl2FQ9Xb1OlU7j+i4wldltCUxGzK\n0gTdrqo3KDUMU5QBL/1tO97ukD3B30/lWIhUGbxuKxnlRlzy5Y3ZCr3THa8OfD19pOLDycH/\nmN/8zc7mv+vZHQOXsjQWb61ANTgQ56jqBdu7aLWtm9EFI59O+/2+AiwTlgkhkOcoMiprM5pb\nWgvGNGNIEsKF4ZSeRJZl57Q+hKBzxzL9c6efknjv7+XKY/TnvsLppasoJZBSytMSUQ1DpjEA\n0201r6y14pwvGxHPF5zDMFGDbL5hnDyqVE3cFk1nKo0xeiDdDq1vkybjexWEnG/IzjEY/AxZ\nFr+orNjP6AF6Sex+rlFJhGG4al9s2/Y1Xpqr1T1Cr5PEmgwmQ5GllmUJBYuDQQJMaLghLdMz\nYleXpC6Rj8RaYudSkakX+ysNOoQxJNHisymF6cn62LElKMXmNvwAu4+xpGLxqRlK+wqN7TVQ\nCtNj1CtU5CpWpzXuva2nx2ffhB/SN75CG1pDCBzHqapqOBwuA8GaumyapnmeM8YaE6/mT4SQ\npop2TXHL87z5fL5UIRAKy9eWj+6OvJUgm5LRIzo+kOnU8TwHoHmeN3pGymmRlVBNDY89vsv8\nAN3N8eC27N6E3cqjKLJtmxCSpumyciy0jJNyySTSJMtic3N78/Hjx8vHWC0ixmdHQCtUGawV\nS8KqqnzfD4Lg8qTBs6KpzK3e/ARB4HneZJkrfDWqqppFo+2doZRy4w77wtdCWSPL9MGuuv+u\n2r2vTw50VdBVVrcKQkEYhMB8jGiq778rvmfA89DqojNkwx30b9Cgoz2f2M5T2SsKgSLTeb6+\n10kIWn1jcKur43L2XlLHtd/RTqAGY733cKGraFDXODqi0zm2hraVwGwJW+Vts2y9aqc7YXFQ\nyw+j+kDInHYNEUgRZTwuLtK7UpjTdEHvJo9U/L+f7P3t7OZvhVu/1TPba8gppTAobA7J4Zy+\nlJSL1q0UEAJCghAoKT3P0/pMxMw5Wi0A0BUH/JPRrF4YLhLPdsYjOT+p+l3WbkkAnHNKqdNl\n3sbFY3rvRzJe+drDDbL9+po1kFNoYiwDQpoPLqXkFFpDAURrUC6f9t7qmeHYqCuEN1i7T072\ntOOpNEJZYnYoNjM2OqBbd9bstm3DshbdbSWRxGhd1Af/tOJlVuxL/BxBacBwNjY24jiWUlZV\n5Xitayw0Vy8/l8d6KIFBoQGDYj4dm2Fou14umrBOMMocAqVhdjkbSW6cWYzGM2K5QiuTXHKr\nS+Wn8RP1AlCGeLZgrlpjNtZeC/6lQeNV+D7eeBMHu1he4pXAowcI2rix8ww+xota3VOwOgAH\nH6n9j1b97vHWr53VFyuBRgpaVVVd12VZtlqtIAj29/dd13VdVwhBCNne3m7+AaCqqjAM1zZn\nOee+7zPG1mpLCYUdwA5095YsUzXaTfY/4LrsTI9dJTRhsqrr1d65EogmiCb88fvc9tAZyP4t\n1d9Jnc45SzxmasbOmEdd1/NJ0d02HMdZ5rtbnk7H53amSonln71XkiR1Xfd6vU9C7Bq/7ib1\na39/MRZKKW23248fP37KF/E8bzQaCSF8vzOJrflcpzGkoMM7dHinidbQyVxNjvT4QM2nSCNa\nVSCNOIAC9KxcrYGiRjHDeIbHDyX7R5iWDALSGZLhFrZuk81b8AJ6WUdy1nK9Yr7RMOG6xHJO\nKzQ9a/jrVraXRx8klif9ULdCPT6W+49olp2dEVWBR7uW7/IwTOqWtANt1Hnglt7n3Hirx/Zr\na79KH1dFrDpMBO5FeqdO6d0sVaEnghap7ovoYPT4b2Z3/k248Zt9o3XxFKoVDH3u9pKxi26a\nWoNq5hWUUpQ1dI26PvOpISa2bji9nrG7O0lT6fu+4zjtX+DyJ6XNKgCGYbQ7XWWQzucudiKr\nAh9+b0UMy/QbX+Vs3USKBjhRNqONB6HW8FyXUpZlqe16UFKCGUQLEPqJrdfXopFQcIv0btHZ\nsYbSjkvyRCczzA6008JwZ70LadDGaLQ4XGkGx/30/NhfLF7anbzEzxu01q1Wq7nMa1kDV/Zy\nVv1aVztfnMLQFSEkmkfNnPLGxkaWZY7XshmKLJnN82aK3zTNdrszpsQL1PzUCCqLFDZJEamw\nx4BzkUEAKIFN6lwbL8ggoIHjEcowH5/NHKYxlNJB5zpuRylu3EKrfc4MJZojSZ+2dHeZ1TG+\nXgMLYHqs7/3z2YWAMbz5q8xdYZ+FBCE0aIeUIIqixltfCNFU7Jq40iRJGGO2bc/n84a1bG5u\nMsYu6yp6vV6e53t7e0/4DASWr9tbxGpr2xBlTMa7c6Z7jz6sYrkmm3UZXLZ3j1ku6w7Ru6kG\nt6Xb0YYNysHMMwqitZ6fZEI4TQBUs9FwFKF09ddYxLp1Xp5clmXTjH7WWLMLr7C3t7e1tbXc\n6HneMvX1ieDcqEpzfzezrY2DXWTiokSQGWAGsVw2vAnDgsWJ0jqf69GB3r9fHu6WQrTSbKlU\nAWegHJwuzj6tMJ/p+Uw/eL95O/i+7GzojW26/Qod3qDM1FV1ruW6CsrgOMRed/EmBN5Nx92y\n43speZDagXYCHXbk6JDs77Fl+VIrJBlLE9fzyt5QOC1l14rnSbfDxVuu+NyGOSPlT8bZg6yI\n5VX0LqtpMTfnqeq0hC91/aGMd0eP/7/Zrd/ubvx6j3tnZwIlT3YJoRSeAeY4WZaZnmvJxbs0\n43pSgCh4Bn/llU6aFpx7e3szKdG+Qb7wWn/0YcUNuwYZvmlfHvm9+125Ov8w2CGbr67nCpwC\n5CwFUAOFYlBgjBFAU9YU80wGSlBJfHJ5LDnflKYUpomqxOA1Y+89mc3heipPSVlgtid7t9ns\nWPe21qxsjKHlY3E3pBFF6P5M2NopkBcSKfZyxu4lPpugBGmeJ0mitbYsKwgCyo2nmbFbLmkG\nha7S4+m0sQAFsL29PRqN6rr2PG9vb2/1ylpVFWVw2zRIdTIFAK1QF0RVyE9Ef7AYFCOnSVHN\nv/P66ZJKPxksG90hWY2myFMohXb3CbMmjRnK/i7mpxKFpnTXDrF987pb3obVVSvlMMbR3SRr\n1Rtlqt//vlryJAK8+gtsaYt6AVJK27Ybh8ILfxJCCCGawbtmUKxRMyw9vRavTwgh5ELFqzHo\nJ4Q0/VzLshzHacq93U5P+EQIkVfjz31NDnvYeSQOPqrG+3RyyPMIl5u9Wp2aHj+g1veY31OD\nG2pwR4Gcdfld13GdVpqmfOU4EkoMV1cr2lhZE1k34cVnmM1mm5uby2Lbx0CTIro6pNiEil7/\nrLJEltA4JmVOez1ai6AupRC1bdrFykEgBKYF2yauqyFLAGVZtlwXaj4wisEtfKFCf9A5GenZ\nMabHOprI6QRFfmUehhCYzTCbkQ9/opWQhEivRcIu6W9j4ybpbsF2CWWL93VcYq33klvZQ0aC\n131/x51/EFOWOwGcNsK+2H/EJiMimnKUAqXGbC6ThPb6Iiyk6SpXCTqP2zel/eWd46HLD1P3\n3XH2ICuSddU73Xht0nxqOrHqBsKTOPlAzB8f7/719NbXe8N/1WEOQ7MmPOnqrDXSCoEFQsiS\nMFEKSs+G9ghBjxtKGVVRa5Rponu9Xn/HckL1+J2ic9vizkXGFp3oez8+O+7c0G99zVgvRibg\nROeCrM5BCgWbo8hK07IBiDLTpksIGIVF8MnlsRZHrbDa23UdVCWcNu1usTIRmhDLJmWu47Es\nYzU7pmuJHRrtxWliW1WiKGA/6XfyU4AXM2P3UhX7Ep9RUMBxHN/3j46OGqFif+hmVwxcrRrD\nLoa6AJOI/fG4GdgHYJpmXddFUQyHw7XmGlEUWR7npBIVRA3PawmN6URbnpAlqUSZpunGxmbV\nrFMiNyznxSdoL8ANdIZkOjrz9C9zPT5Gp0+uz0/jHLfuYD7D7i6WsRbzGeLkytKd1pidXGR1\nnY31mlwp8O73ZJGdbdm4TbfeWLOsCI2qBqXMMehTykKFEO32mW+p4zgALge2B0HgOE7zmlrr\npsRr27YQwvO899+ZJ0kKgBAwjjifbH8uMNujG19QRSxn+2S0R8cHNIuoqC/OvGuFIifFLhvt\nsQ9/pEmlGUPQ08GAWaaz9/DIv0WXat8Gtk+q8y51q9pYy7LCMOScN/u5Jnz+KdDMaTUeMd1u\ndzKZ9Pt90zQvB5ShCYRISJrSNKYr83hqPp8rpTqdzmw+t8y81e4oSkxHBy7RKgeIUmo+iZdS\nDN/3G9kH5/A8vbVdbr1iKQ2tiaioKPVspPcf4+QRxieYTmSRnZUNlISUEPLMlqga6+lY3/8A\nhIAbCDp6cxvbt+nO68zY1Ka5xvL6MqhNO19q+7e92XsRtyq3TdyWnI3J/gPMY6YVFMA5q2t9\neGjMpny4WalKWz68CUE13rrVSvv+dOiZX8yqn4yye1mRqC4TLVfEK/ROa2iNtKb5xHRj1W0J\nV6n6J/X0wVHvv05u/fve4Fc61KJPw4FMBqUbUu6ArLFS0xq5ACGglrG9HSRJsrFhaUCYdPPL\n7uVjojV+9N8qVZ/9Yfs10r2CGFkMCuSyuqWWsCxLKykJo6ZbKxCAQZInytCeAsWlE92yAQIC\n9F+hJw9IXWrH1WWOPMX8QDkhLRJt++s/QhBgcjrqEMewrJ96FYXW9GUr9iV+jpBLuJYDJVqt\n1nw+r6oKqna4cUGu1QzPrS6QzalOCIqiWL1wttvtLMt83yeGU2ssy3hn75jniuq80JbD8ozG\n0ZwbRjymnpfff084XQKgGUYhFJo51adG6wAAjKE3PGdxJ2tMj3W7d51UtkE7hOcvFLINllN3\n2zfPqfy0xnykyxWiRhk6G2Str6/W+Oif5HxlCs7v4HO/RNeutku5pVTE9/2yLJ/oXTefzz3P\n6/V6jLGqqlzXRTPrzfnS2QsAIaQsy8t21kopJUmeL44X4xpAo4oAwC34lvb7eustVcZkdkhH\nj8jkmMUziPJirAU06oJUCcmn5Pgxwo5p+Ul7SDdfF4O+2TSOmwda/kXtzpLYNZY9JycnQohO\np9PtdsfjMQBK6cbGRlNyu2qmsNvtzufzpkTX6XQODw+llJPJpNPpbG5uGoZxYbouz2kakzQh\nWXbpswAATsW5uhUwrTNmVC3X0xrTSbqWdpsmggCGITmHaZqOZ5USSoMQGBYMizgB2XoVWkNU\nECWZHKuDx9i9p4/31GxEZL2mPUQoGANlyFNy/wPc/0DjvwjLgt9Gf5Nu3iJbtzHYpJaLa3ie\nEfDBV7v5YTG/G5sO3LZutdX4CPuPaZYRRg1ClNaqKMnjh1ZrrG/e0jE1nEoY+dQIrVuvtKKB\nN+059lt5+c5JfD9nieZUBI6MchYVXK1U79KaZhPTS1QnEJ5Sh+/Uk/sHvTfHr/7OZvgFn/In\nXKErBUaRZVnXCwgg9cXpDjTjxRqEoqqqoijyPGemA6w/ArvvyfHjsz/Yrv7819bPqxgUBtWl\nXHNmSg1NbQOSAqWCQcEpRC3yPDb9sH6uen809WATVYnwBnfbYn6iDQeUIy8xOxCD19n0mGz5\n659rmrDtRc6YFMhSeFc88qcFWkOpn3Jy+ix4Sex+3qE10hoE3PZDwzCm06mUkgEmMxpvEU5h\nMqTRDIChbM6sQjY9EcIoDFXGK74SjuOYpjkajQzDaBHodYUfAJQRuw0vl7MxlUrJsixLeKEg\ntm6I3Xg8drLMdV3GGPin3QkgBJ3+ORsUKTE90UGH2E/KEOMct1+5WLprpu62t89yGKMxipV5\nHcrQ3VzP6gAcfKQPH5wdRtvBF77KnxjtoDQUdwaDQRRFWZYFQbCcpIyi6EKPNYqidrs9mUxa\nrdbh4WGn05nP55ZlbWxsTCaTJsi8ruvL3+bh4eFwONzbPep2u6PRSOtF5oTv+6u5nACYAber\n3a7cfANFIuMRmTwio0OajElRUpzT5WiAKEnSmE5HNB4F0PTkPbn5Wl8YB07QjKaBm7hsekIZ\nGQwGZVk2tGk6nW5tbdm2XRRFGIaNI3e/3w/D8AJDNU1zOBzOZrOmeNnEwy/Lk5PJZDgcNkMF\nZanzlMUxzVNyPWc2LWLZyjRBzZNbWxvHx8dVJapqfuFhhMA0tWVpy9KdjpSS1rUEQAhZ2Ilf\nQsPzlCZel97ycPMNiIrWJeKJPt7VJwdqNkY8o7XQlIOvKwmVJcpjjI/V3bdBAMOSnR7pbZOt\nHWzdJt0hNe01dRpn07aHVvIgI/cSu0Wctgp78nCPjA6ZVFTUCoAGooTcu2f2Imxuw/GVI8p4\nVro3veB1bxp6uu8OvpQUPx5H94s6VR0uAkfMcx6f0rsm1iypaDY2vVh1WrUncfDDcvbB48EX\n7df/06b3mndNDVZrMIKyLOsiNQxD4sobMqVhGEa/34fhXOU8Uhd452/k0tiCAK//KvfC9SzB\nJEJqfplHLt8uFczmaOb3RFWcnJyYpukFeO7EDoBtoSrBLRJus2yq6hqWS/JIJ1PkEz239cYd\n0Et6tQatAEW5uJNPUjjui43GftF4QarYlzN2L/GZhgZKCc/x3LK0LGs6nbZaLcYNSpDG87Qs\nm6vd49lMSdLtDTIBTmEzHBwer47QUUoBtFqtKIpUXUghlgPvF2B3kE+1aamqXCwY8RS2o5vc\nWK11lmVZlnmeF4a8+pf4oQYdwrmOT6/CWmM+0aJ+glS2wdrS3e4jzGa4cRN5rPOVIialV9bq\nsBBMnE1XM4bXv0LtdRajlyEUNLGCIKjrut1uHxwcSCkJIYPBIMuy1YoRpbSu6zzPmwGypsTV\nqC58329M5sIwvJy5ZpqmYRhFLhmpDcOoqoobaLfbZVleNYtGOdxQu6EevII7iUzGZLxLJwd0\nPqJlQbRcZBBzxqVUjLMiF7sPqoN90L+H45mdIQa3RO+WZiYR1TnTE1HQzZ1OXdernDJNU9M0\ni6JwXXd/f19rPRqN+v3+xsaG1rpRVyilGGPj8TjP8zRNXddd1u0aSIloppNEPHpgnEs7uPzp\nKGxX2Ta4qbUmUkIDZbko+81ms2XRkTE0ZM4w9PK4rh5hdkX7v6pQZLooVsSeBIZFDAtuQDbu\ngJvMYgQEs2O9/1AfPVLjExXNSFWtvxRpoCpxtK+P9vVPvt+Y5siwR/o3cfM22bxNgw4xTkWi\nhJLWq553w5l/kFCeOS3ttHR/KA8e4mB/ofE0DENrPjpBNMfmhvDmZdC3lEr5cRG+0goH1vio\npbve1i9myY9G6f2sTNFjMnDkPGVJydXpFyqBuKRZZfmx6LaVkqr4bj5+78Hmr3i3vzn0brpX\nzTg1H3M0GlmW1R1sXjWSoDRani8UcrEQ9V/mZO/89zqPz96mvYE7v7j+XSkBY/wqd/cGFkca\nTR3HIYSMxmOlVFEUdZFR7j53eaxlAxEA9F+hxx+SutaOq/MYeaZnh9If0mRCgv765zKGloc4\nAQCtkCbP0/rE4WcGfhYDISjFi/X61Zq8TJ54iZ9TUIJut5tlWVVV+/v7pmkKIQzD6HQ6FbFM\nhm5/GE3nZZE5psm1PNg7uSA5TNNUSun7PoDLY/ursNqEMniBqk4W51sWc6WqfAJ/c/EY13Xb\n7bYk3GQQEp9uSxYA3BZhxkWprBC63b0yVXaJZelub+9MMJtE+Kd/0C33rHRHKTqbVzZ5ywwf\n/OCcYOKVt2h38xlWKKlhcmtra+vo6GhZf8rz/ILFSZIkF4bYGjT0uvn3dDptoixWUVUVpVRK\nWoui3W6fnJz4Lbvdbj+NZIEyOG04bd2/I+qcpFMy2WOTfTrZJ9mEMMbKvABgORYlHBBKIo1o\nGmHvnmk5yvWVbaG7qbqbju1zzlnL4VqLC5VC13WjKGpIZ/Nz1VovlSKEEM/zABRFsTw+je5V\na2QZyRKapSTLiGlkfqt1FatzHG05mpuaMQhBtIYQ534iRVEopQaDQVUlSmWEVJxfvJY1EubV\nebvVOYTGha4oiBTrL4KMw3Fgu2fzoH5Ibr5BtKKiRFHoySH2H6rjx2R8ouJI1+X6q6nWyDJk\nmd5/jLf/TlOqPB+dPja2yfarbPMWvDZhFu18MfBuObN3Y25Vbgg/IP0B7n2ok5TSU5O2osSD\nh9Q06Z1X61bH4D5kOTNDc/haUA/46MB3ul7rl5L4B+PoYUYz3WO6LcU0MdKKLXqzCgKYlzw9\n0S1bdttKKpX9t/jkx/nmv/Jv/4cNe7jm5FEa3W53Op0u6namd3norUF66smj1nVsx4/145+s\nHGFDf+E3DW5eSeyEus6+xDUgyry5Xx2Px8s7qyzLvNB9evd1Aphszd5eAGNoXKX8PnNDWuaS\nA4aFskIyklLy2UgH/fWfxWYw2kiyM+sT11vjkHJBjfuUWC2OVgqcNKbNz/5CTw/90sfuJX5e\nEVdwDRi227VcWeWTyYQxNhhuNloKCmgN13XLsuScV9X6sPmiKAaDwRMn1gmF3aVBqWajxSkt\nJbKI8pHyNxfrB2OsLMuqihljQbud1evbUi8UjVR2OtbLvmqZY3ysO7312tULaEp3B3sLS/cs\n0kWCPEIUY3MTjoPOxpWsTkm89z2Zp2eHceM23X7zme87awWDnsvXKoqi3W43biYNbzMMQ0pp\nmuY1Wa5SSmNdrEFd16JGXZVhGAIIOwvntqffQ0KJ6cH0dHhD7OQkm+LeXwejAzk+RlWgzEsv\ndA2bL8MktEKR0iKhZYS9uxjesNywDHrZeCS2v3DRDT7Lsl6vJ6VsypAXoLW+MANalkhjkiQ0\nT+nyB25ZFmWMnp/AMs1FcY5yrRQRAkqRteYqlMI0tWkWdf243fZbra5SqqqqLMtW64K9Xm/J\ntk3TpKajBaREmSPP9anv48XTijLYNmyXXJU5QSgMB4ZDWh3cfotpBVHSPNejPew/UseP1WSs\n4xmRV1RNlEIcIY7w6J7G3wjOEIYIB2Rzh22/Qvtvdty0jN+PDQduYLbC6uSQ7O/rPCdAYxeM\nNCXvvkO2trBxU4tCy7qq5yNnx7/5qpfEdGK2/G/43nGUfH+c7OV1Rgbtul2LecbSii/pXQ0y\nzXlc6NATnUDpI5X8n7Ojf4x3fiu88Y2BGZz78BLw/Rbn/Pj4eDqdbm5fSeyu4WGixg//SogV\n/nT782x460p+oDWeMBAsa9u2t7e3q6rqdDrHx8dNzbgoCl8UIE87c0IIruigXoRlQtRgBgk2\nWDqShYTtoC6QzHQV69TUSq53Vmoc+HwPC6WQRpogaJ97jEFhUFyltHtKaI36xTc0NV6QKvYz\nipfE7iXOoRGdUQLHcra3t/f39+uq0NTWGpkAIWgaVUmSGDKl6y4klNKqqp5Gh+j2SXYC10d6\nqjKMZtRrqzLWVosAaOSHnueFYTg6OXFd95o77xcHbizkFMuQCVljcqyDLiz7yYsF59i5jXaI\nD99DcUohihQPH+DVzxN+BavTGvfelrOTlYSJqwUT10MDTbdxucUwDEqp1rpRugDodDpPLkIC\nWuvLjndVVZuGU5UJAEI15/SJco2rQAhMV/c2WjImvJ30biOb0XhClMoczxOCnbvMcsJMAs3H\nB2r3I8kM5nrk8IHeelWE29pqLTJ2m4HC7e3tJoiiXFdzq2tkCU0SmqfkclSYaZpB0K7raj6f\nUQrHU66ruAmAVBURCqiuiDnmsCxtmuearUmSNFTS87xOp2MYRpqmTWm8LMslsQ6CcB4hzfRV\nrsKEwLLhuMR8xkzPJc8Lunj1S0xJVpfIU330SO8/0uN9NR7rOCL6iu9QSIzGGI31h+8JAJal\nvDbrbwUbVuGrLLhp2m20B2r/ERkd06UBh1L6cF/PI2O4IXtbMF2tVFIeZt7r7Z03rHiKCWu3\nfydoHUTz743SvZIW2jRku5bTzMxOD69WEISMEiPKddcTQQtyV6Xfmez/Q3T7t3tb/7rbuKIA\nqCSkgmk6vV4vTVNGGnH0sx2on/xNvZoz4bX1m1+7TsEqNTwOpa8ki5zzShIFCGJZHIyxRpDO\nn9EFWOmnzSIzTCAFgO4tevIBQaEtF/GMlLmeHwgnNKMxwuGVT3c9pNnCLTzL4fnnina1WhNt\n99mE0kS+gFbsy0ixl/hpQuOHLhTp9/vMsKrTRaRSaLVazZUpYNK+gthRStca3l6A4cJwiNeu\n03jxQkVG64pmJwtiB4Bz3ul0GjO8PM8HA0qZ8yK82q8HpQs5xdJwRCnMx2i14TydXoxBbw7A\n1KJ0Rwj8kEynyHLc2IHnXXz80QO9/9GqYIL8wq/RJwom1kIqCMp6vd54vGgqU0rzPG+mvjzP\naxxqmhb8Na/TbrfzPL/8tYr6rBxoGPjY9iJLOI5TqwnlsFqwWirchmHJ3o7OJ97992OZe3kh\nGWOMshq6SOo8KwDIGvGMFv+E3Q+YF+jOlty4rTo3lO2Dcuzv73POt7a2Dg8Pm17n0qAkS+j1\nY3Ptg8+iAAAgAElEQVSc8yAgzCBxUjKuq4oIQeUVTyEEhrFQQlxvkbO0jPY8z7ZtzvloNFIK\nVUm0tkdju1xnXNvIJlyHrBU3fAxQBsuF5ZJwQN78CkRNRYkkwtEjvf9QjY4wG+s0udI8rxFh\nTI7p+3CZtkKRtIzSbZFWIFs+Pz7ScUTQKLW1LAv5+DGbjtXNO/BKZXpavjM1u1br9aAVstkx\nmZOw959a7YfT2femyWFFS2zwshR0mhp5TdAMz2lUmhxGxjzToVcHLVV/IOLdo4P/Pn3lPw66\nX25Tg2oNoSE1LMd3lErT1HH8XD5Dv2/0SD14+0x5TZh+69e5fe3JbjJACUL4Ve1JqYk4Tb4m\nBM29VjPxwi0XLyA31rIW7VKvS72QpLGmgGnpqkJ0guEbiCY6HF75MyIELR/zZlB4XdHuk4DT\nhT/zpwFNtXoBM3YvxRMv8VOEpRaPEEuvFDCkAiPstCO2fr5CCJFlWb/fX1qILS9gl+H2SZ0r\nzs/ca+MpMSzVSCgAKKUIIZZlNcEVWZa5bedTWgvOgxC0u8Q0Ec0Wn1prRDNdVQieVO3KY8RT\nUIqNLfgBjg9heotp9LLAvQ/Q62HzxpnuLJ7oj94+lzDx+i9TJ/j4l3Gp4bqelDKKIt/3Pc9r\nZuC01q7rGobBGHtiTJbneauxwksQGMCiScoNCCE459dzxGvgOA5jjJlq5ZoKauDGL6hB3/3S\nzDx8kE33jccfZZMjWUpaFeeeLitQE9GYRGO++x4cD+2BHN7S3R3hdWUcJ4y2j0ZRPFdZvt6g\nZAnLgusr21bMiAqRcnhhZ+OqydFGCWGa2jT1s/Ktuq47ne6jh4dJosuCao1u17vc1DPMRcv1\nheoTuUG4AdtHf5t84X+iokJdIpro3fvy5JEeHZPpVJf5eoYkCRsb7XldubsJkRq1ZEoxiSIl\nhMIwtaKKUhYn9O676Pfp9i1p1VqrUsxGzm2/c8Nt9TA5oPXt3uB2GNydTP5xVp7UtFYWL/Oa\nTVNeijN6lwtSzM0oVZ1A+EodvlNNH+1vfHFy+5vD9us+oURrFAJ+K4hm06IYua5r2m5WP/ly\nXFf4x7+ScsW15Obr7Obnn3DcDYoiKzjnoPbaMAlCYJxmxAm1sILK89yynrHo+tQgBIaBugK3\niB1S61gVBSyHxIXOZrLOVTqjV3VjG9gO4uTKot0ngVRYZwvzQqA0XkjyxNM9rKqq7e3tu3fv\n9nq9ZosQ4g//8A+/853v1HX9zW9+80//9E+b38Dz2v6S2L3EdbiwfBOCSqLVak2n02sGZ+fz\n+XxxlwdK6fb29tJ+4gLsHon24IdyNlqsFumchQOZjdDahuu6vV6vqqqlvtJ1XdS5bTqXDTk/\nHTg+mEHmY71sbBYZhNBh70oH4zzR85XhLs/Dl79KovgskxHAeIx5jO1ttENUhX7/e3IZpEuA\n22/R7hUJE0+JWqKW4E6w1QqUOEs+nc1mjcPw5ubm9a9gmqaUcu2X2PQKGwkn4x/HELjdbluW\nRQgZjUatViuOY+6es6lTAp7bPjo5EEI4G7D6uvs5mk0xekR2f8znY1KVi9ahllqfVrKkQDJH\nMmeP3ieUcbsFJ0yHd+zBjYEQM+g11JNzOJ7yPGVYAEhZkrKmqAFoIKGUbWyccbumONc4lXy8\nSE2toZVhGsN/fvu4Or1fMU3TsNzi9O7FMIltw3Ke2wX1mcBNcBNOi2zc5lqjLlEXmB7rvfvq\neFePjhHPdXVehCEMMwo6Vlk4eaIU1aW2uEwTzEecGMS2tGHDtMjREZnP+PZN1dtUhqvVvbg8\nzv3X2xu3jTLDyQFjnx9sv9nJfjye/2iejwWl0jFlWrBJxoUkOHVFSQXNJqafqG4glFKPvpuP\n3nu09VX/9jc3vK3F1Fq73SaETKfTJEl6/WEmnpDQ+vb/K9IVBY7Xxhd/k13P1zlFlkTT6dRx\nnE7fLs6/ReNal1ZnB6qSCMKeaZqMMcN2n7K1+jFgGosztHODT+6LooDl6nhGikznU1g+0plu\n9a4r2vneWchYlj6tPNZkT6jGXTBGfcH4lxFP1HV99+7dP/qjP7ow4PsHf/AH3/nOd/7iL/7C\nMIzf//3f/73f+72//Mu/fI7bXxK7l3gGNEtbvRAPPtVTlFKNu4RSqvG8BTAajZqOHmVwujQo\nZTRhDVUSElnEDEv5m8S27WYtXr5a42QRhqHtt/+luJ1pobtBZmO9NFETFSZH60fuygzR+ZH9\nsE9sH24L7Q72d5GlZy/y6AFaLUR7SFaiDQY36Y03nk+JRiikFRxudDqdpXS0KIpOpyOlvL57\n7jjOVfYlcZTbtl2WJSHE9QzGmOM4jdS08U+5Pq01DMMmuJZz3liQJEli2HoltQ6cW1qcBWlQ\nRuxA2wE6t3R3W0z3dHRMohGLxqQsKATAIRTqCqImoj7VQJyAgD1+p/Y6s9uvtZQ9cULFbEIZ\nHFf5vrZdTQiqilQVrdaVmOfzuda61wuzbNrU5z5eM1Rr1BUpClJXdDgc7u2Oq+qsMG7bdqUb\niSuxnM9QCjshMG2YNryQ3HyDaYVmOO94V+0/lCd7dDJWcUSUAAgpbacyTSdLLVLYjFJDep6e\nx0gTIAGgKQU3cbxPen36yuu6u6mlqOWPxvam677SuvEqyWKMj7j9K5v+F7rzH45mP57XM+UT\n6dlqnrEo503pq6F3cUWzsRGkotfWSqn7f5WcvJ3e+redm98YZG3OKS2TWWM3I+rS0Lqi9lUr\n2OO7+vG7Z39jHG/9BnuiwZBBEWcZAK21FpVDaaX5cgRNr1NpZALcblkMQr9ATehyzM7tE9tD\nHIMSGJauKsQjGe7QaHodsQPguEjSRdEuzeD5T+Vp9+kL3a7Bv5TdyZ/8yZ/82Z/92YX2RRzH\n3/72t7/97W//zu/8DoA///M//93f/d0//uM/dhznuWzHS2L3Es8EQpv4II7z8WLXoyiKxvcY\ngBBiZ2dn9a/ugGQjOJ5K48WJN58QP9TlDP4d/9GjR6sPbujIbDbbdl1LS27aAOoyB2BYjtLP\nJ1H7iWAM3cHFkbvZCK22dltnp3pVYHZyrnrV6mA5puM4+NzrGJ3g6HCxaAL48Efq+KEK2ovb\nYj/Aa7/8PFtvGsgETDfYMM3pdNqsOE3sVTN/dpWaNc/zIFh/qz6dxL3eYDAYEEoH21uagFOr\nWdU9y/P9YtXZ4QIa9cDh4WHz3yaMDoBlU8oWh8UwuO+1DvfG9qVkNkLgD5SoSGugN0qRzsls\nn83ndDYlaUyUoJeCLVCVtDpEGdWm7dqtfPOWGtyRngUNkiTXLdOnk3PRrVtbu7trBLZPhNao\nKxQFqcqFeHZzc9hYciwfwxi6PYu6V/oafnZAKEwHpkPaffb6LzEpUBc6iXD0UO89EKNDOpuw\njAVVbbtpYhtC1zAslWeYzamURClUBaoC8Zw8vq/DDja3ZXuDdkZp66AI3wq8ge34JJ5iPjaC\nX98OvhRO/2EUvZfUiQqJbjlylrJVT2NJyDQ3kkK3PdkJpNzX731nfPC9+NX/tbf9Gx3OeV3X\ntm1nWZbn+XBzuxBr1opshh//V7F6zu58ntx8khTdYhDlQuBcFMXh4SEhJAxD2zRLWBZHIdZP\n0AmFVL3YutVSK2151GkzPpJCwLRIGut0KqXkyewJ7ORC0S7PniqI4tOfhL4G7qZ15+u91S27\nfzev0meb6em94bZvnVcuP0mc/K1vfetb3/rWD37wg1/91V9dbvznf/7nJEm+8Y1vNP/9+te/\nLoT44Q9/GATBc9mOl8TuJZ4NBJwgznMsBEFPe+4uL13tdrvJjF/+yXBh+iToyiWxq0qaJTAO\n1XQ6bcIALmQeNKayTUdsWUkihAyHQwjhuX4pX/j9YjNyx7lOVhIc4jnqWjcjd3WJ2fE5VueH\n8C6ZG/cHCNrY30UcIT7RJw+VkphNkKXob+DzX+XGCxi/qSQItQcbW6Pjw7IslVLz+byu642N\njb29vfVPqSrbti3LWmUhpmn6XkC1C6CUqNc5gVFqb2xszGazy3OWjDHP83Z3d5dbloYm1NCU\naiUJACEktM4TeZnYAWAWsoTmBc0ziArw0Q7V8ItIR4hOWDxGHhNRLxge4zBMbXJNeMoMS1fB\n+z9MP3ibey3d3lCDm/A3pOlimd7J2CITwjD0Kb2WWZYNh8PJZPL0li5Nfa4ssFq7HAwGSZI0\nH5kxWDYsW7fbTqtjP9Gi7DMIxsF8shjO+5rZNG0nx2r/gX300Jw9yOujhHAQQ5mWjCOeZVgW\nUaSi4zHmcxruSfs9yT1l//WktW0NfjnYfMXYuk1mI10It/e/3Ap+MZn9/Si6l4tM9agMPTlO\neFow3dxqElJTMkp4UrCOVwctXb9fRXtHh387fe0/hqI7XlZYDvd3N7dvpucV0Eri+/+XWA36\nCwfkF/71E5qwFoXBEK2cF42tN+ecGhZ70lf5ovkPYyAUWoFQuH1qPZZCwLZ1OkcW6SrVjJEy\ng3Vtpo7jIk7Oedr91KXHXmjF6md3tvsYT1mLg4MD0zQbcygApml2Op2Dg4PGSv2Tb8dzJHZN\nfN9nqvr6Es8dhJJloLb6WHdkjuNMJpMLG70hqRJl2qoqlikUhuvX4/1o5zV3OByuRmA5jtPt\ndpcMYNkf7Ha7eZ5HUUQmk36/b5jui0jpubjnAeEmosm5kbu61n4L89E5IaEbwL8qhsjEnVdx\ntIv3vnvGeOsaRsCiBE7wQsJ8tEZWoz/cnIyOm2O4yp4ZY7ZtO46jtbYsS0rZRFY0LVdKqed5\njuMw05knejkeZK8zblUaAtx13cvErkn6Wrt7lIMZpBk0bPaqys5uJKREkS3cSfIc6RSW4Vkm\nRJUC0BJmS1ttEt6WIkeV0HomsoTWuVFkmpueFpBSK6EkB6VM1CKakGjC9t+H7dF2H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Ln9RJNBBjz6kH3wu4tn8FSQTDKEk/Gpvn4iklIu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\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cqXPYMkx60tTvYvqOPyj9uH/kcxc9Fu\nLd4a99kTn1VP/Tu3t3lRyToXIQti1+mUG1HXOEGacF2wbHGH3VitMRptvlk3GrbWcHqIhSf5\neMxKzbVxUjnJ0ei6qCkcwEvXnkHcnMBq2Hi8+XVt0unHx3wM6QlFgd2JYQ4ytuVkiVtM+cgN\nWu0pKWV/pYT1b5dmV2SblyrlbauH3VG73Q7DcGZmZpe8Pc753Nzcnj1WyD0Q1dE6t202yWjg\n+itrkbm2CMPaxirEQZda8jy/fv16NVIWgBBiamrqtP5ZkV0wgOlsvDVmOTihMPsc+7yXl5ef\nY6TafC0WGfva4963/19hbpMyF8woL3RRA8F6W3Vj2bDPyoQVq9pu747tHAYDsfFSj2PneY5z\ntvik6/e4dQxAnvEwtCpAbRae50kGXWL2/glEdVmKjYwI3wdlIJ8IFNiRY6ExxcCQG8RxbIz5\nwfd656amdzxza2C353IdAGPM8vLycDi8cOFCHMc7hndaa621MTRu4FjwA7Sn2dbk9CzB6pKr\nch9Lt9av+M6a3W+s3YZhOHv+YskppfIsEhxpmh54E/YWjKN9wT3nZfrZL9TbxuVpfOcJ9dX/\nrcqdckD8c5IJ+JGt1Td3H3p9mY8Bx8rt48VGI75Rsysl4tg6h6e/jHGfl+uVsEXJhGKdZzKl\nmPI87VCbZmCH/e2cw2C4eXPiy3XkLjmNe3vkBFIeak2W9Ndmi2VpOR7s8OJ0DrrYGtjtfc+M\nMWttnudZls3OzrZarfF4fFM3O845Y8zzvIKaKR4PUmGqy3rLKPP14Zg50r5zFgZYL6E4cI7d\nhkajETfaY+psclbt0pT4DkRt94yftF5cfPc/vXF/LUvAGvzX10Seuh97lQlq216pMuYiYF6E\n1pRZWlzrSpeOWZFyY2zZt/7U2plZxpL1np2Modm0jKH3NK5+nec548xVK3YwvNa19WmrWL20\nCBqIGiiz3fqS7Ecy3sx7CcPTsFy3uLi4z3zrXZw7d26XCUY3KYri/Pnz3/72t6em1p5UrfXv\n/M7vfPKTnyzL8md/9mf/6I/+qBp0OanjoMCOHB9RE1kKJSIhBsaYdISsQBBvO0cXbOMzNmOQ\n3t5v7Gmaep6X57m19vr16wCazealS5dGo9FGA5QwDMuyFEJQYTw+tgAAIABJREFUl+zjg3O0\nz2GwulkEbbUbDlytzphgANgdLbcwxtrtthfVaQf2LKum2k/wDr3YXXqh86Piu19SK4sM1ZXE\n4tqTUuf4b6/VYWPb+f45VY6KKLJSuWrhrdQsS6AzVqxqwAOg9Vp/k0q9bqV0+ch9/9/k8rLg\n3EnhCs0UdzJAPI160y9T33J0L3EAeXqowM5aDEfrN9gpWa775je/Wb0LHMZLX/rSixcv7nla\nWZbf/va3P/CBD2zkflQeffTRT37yk3/6p3+qlPr1X//1d73rXR/72McmeBy0FUuOD8bQPMcK\ni0ajUbWyG/aE2f7uW2zJdZae20/B19b5sNZaa+3q6urTTz8N4OLFi7VaDYAxJo7jzIpD78yQ\nSarKKeLNdxTmLIqhGfRT3FHxhOd53W5XBHUqxDvLBEOWjPY+74Ckh9nn2ue9pOie3zJ8zGHh\nh/Lf/x+R9rddrVSLcwkvdOF6Xb9zGA6lzqDH1hlXpdZtdGkMAheGzhr2/X8VC/Nca8YYlOcE\ncxBoXXKOec1Os7ToXuZCAkCRHupyNhxs/o3VYgjqNndAH/7wh1/zmtf84z/+49aDw+Hwscce\n+9CHPvT617/+1a9+9Uc/+tG/+Zu/WVhYmNTx6qdQYEeOEakQtZjwoziOB4PB9LnuqLdtUXnb\nPqy/r8tWWZa+74vtlyXn3Orq6rVr16Io6nQ6eZ6XFpqW646lWpM125tdGwx4MmYbffb3iXPe\nbrfPzcwVPKB12bOMAYHE7qMF7xiXmH7QPeclxfn79Na6ruUr6j/+b5FsaabpNSVj8AJXq22+\nHEdjXuaAgxm7wWBbal2jYQFc/Yqb/54Yj9feuJVyXKE+gyDmgdcsLKYu8Li59l3lnZf8oiiw\nsaDJxR6968iO3v/+91+5cuVTn/rU1oNf+9rXRqPRq171qurmI488orV+4oknJnW8uklbseR4\niRrIUtQbraXFG0KIWtQZ9xfj5nqi1ZbAbusI+d2Nx+N6vX7rpdxau7i4ODU11Wq1qEfmcRbE\nYALV+6JxiKLAuB0SZZRS1toqBtRaSymVUmvzx/wwN6BxYcSXWF68YW4dbDIhjGPqfnClhcTV\np+RG05Olq/JLf88ffn0ZNhwAJiFioYY2rhmGtTS7PGVlxp0zgwVb1rem1hnGsPJDduUrvLdl\n5a/RNDP3O+8c90RDevAjTM2xdLi+BGihC8iDt51zDv3+5s1GncZnT8z8/Lznea1Wq7rpeV67\n3Z6fnx+PxxM5Xt2kwI4cO61zbGXeNZvN5eXldrst0CzzvvKdNds62G3tL7C7wWBw/sKFHT+j\nO+estVpr2oM95vyAzT3IvUgx4OKclxeu3+8LD77vV+2s4zjmKmDr20e2zIQXOIfMwDkUFNIR\ngDOYPDl8+vzuGEPnIgQ3jrP5JzfzSZae5k98mv/E640fA4CsMaEQRpZzZywDUJYoC5YnyJZc\nsJ6B0GhYKZEO2FP/wpeXhXNrQZbvu0sP2Es/Wc5cjDzpP/kdd/FZ3FlsBHYAytxJ78BB2XiE\njcfs+QiouefkOOdu7RldNU6fyPHqCwrsyLHDBeodlq0EnPNer3fu3DltCyDZuvvGBfbsYLfB\nGAMHxtiO3Q2Gw+Hc3BwVSB5/fshm7hdGOxewuF6Pm8o5x72wmnRUOLitmXMsAD2nZDvFMRhN\nPrtuR83z7rkvNpLjync2Y7sbP1T/+Rn+468pvRCyJoRXCsWUgskBwFqWZSwZST9c+wgbxy4I\nnM7x1BfF0g2u1wfMCuGmZ+wz/7ttzIhzM9PjEs/6ccYFiu0hqz74n4DWGG1092NoNnc7mRzU\n3NxcnufD4bDaSdBa93q9CxcuNJvNiRyvfgrl2JHjyI/g11kcx4Ar3eqlZzQ8zzObU7MPsFwH\nwDmXJOOpqakdm9iVZZnnObWwOxGEgOcz65AbFDwoRZhplBalvcO2duRMmXgx7O7qM/bBF+kL\nD+rNpowO154S3/icMiVUjTPGPH8zXdg5DPtCl85mDoDvu1rNWo3v/yuff4ql6eYFsN1x97/I\n1KYxNTVVVQJVH3TV9o3X23VI3kW/v1kzUa9RzcSEPfTQQ1EUfe5zn6tuPv7440KIF77whZM6\nXt2kFTtyr3EGBuwZSPkNdGxDRX3p5dW63dL1+Y25jEIe7G18aWnp0uX7zkdxloy11qPRSGvN\nObfW+r4vPFrdOXkokiMHojjGw/7e501UfcY9+LCxBteekmuZJBY/+KYIavbBhy0ArpznmWqR\nRWuWJsxqOO0EQ6NhncO1r7Kr3xbD7SPF7nvIdB9gU1MdJ9dWrCuMg4vNlBVdum2zbPcyGm7O\nmZDqFNZMSCm9Qw+73WWI0Z4ajcY73/nO97///RcvXuScv/e9733LW95SDT2a1HFQYEfuPQYw\ntnezCsbQ7rLSCK11lmXWWgYFrF2x5MFbZV6fv9Zut70w5hbdWtPqnCufAe70zmojhFQEA9Np\nv3+vAzsAzfPuwRcZZ9nV74vqAmYNvvslFdQRc3AJP3AArGYWKDUzmjHm6kHJOV/6HvvhV+Rq\nbzM4iyJ3/kFz30/w7syUETuUeEvFivXPzeYgV7ayPP2bsC996UuP+iHgQx/60Pve9743velN\nxpg3vOENH/7whyd7HAB76y/9yh//+V/c41+MkP0QDDYbVG2Ep6env/v1fpGvBXatabufeWK3\nklK2Wi3ux8XdqoojhBwvgkHabGlp6ZDFsEqpOI49z6vm2VR1V/sJFp3D6g/ZN7+gFq5xbLSm\ni/Dc+1e5tVe+o773Xb9qt1SP7YM/ks0+YM79RJhm4lv/my9cl9qw9QfgLj2gX/BqeenBuVRj\nx2l4K1ftRk9vxjH3wL6Wl5zD0tJmIFivn7Dluve86x1/+TGKZADgHe94B63YkePLOMS1RhXY\nZVlWixsr+dqsCHGnr1yt9fLy8vmLFNgRciZUjeuuXztYVMcYC8MwjmOst87xgsg6lBbV4EEm\nwCRqEapxhXvdG1oX7QP/rSwy1Vtai7SyBD/8hrr4QA7mNppoGgOlnJRIltyT/59YXBAbUZ0Q\nrjtnn/fT6tKDs4m+bSrC1qoyZ+HcvpqVDAebUZ3yTlhUR25CgR057qpq1uFgzHnkeV5RFAAY\nv/MEK+fceNgPa83CwlCvWkJOKc7gC3CGxRvz+4zqOOdRFPm+H0S10qI0AMAktMNNo2Ud4Bxy\ng870TDoabMwnvO09C9Z9ELoov/FFNR6sxXajIbv2bWH5ZnIK44w5Vua4+q9iYUmU5UY3Ozc1\nbV7wyuD+h84l5W6ZLExsy3Rx1lUj+G4l+NoFMMuQbFnkW2+ORk4qqoolx5q2qAaCae36/X6n\n0wHAOQ6RvQoAvV5veWFe6JQabxJyKjEglOgtL8xfvVJ9GtyT7/tzFy6FjSnn1cYlCgMHOMC6\n2wZS2iIpEdUatzYVuxWXbuZZ7v4XGC9YO2IcW7nBRytrlzPJIbizBgvfYUvXWJ5v3men457/\nsugZP75HVAfcuj532wdWxXtaY2uLz2aDKmFPPFqxI8daaRFFUZIkzkIIYa0FwCbxeaQoiiRJ\nwkZYUnElIaeOEsjT8a3NTXzfbzQanPOqxasxJs9zY4zv+2GtsWfYdCtfIEtGW3tkVst+o50a\n5qkQl55v06H+/jdkWcCW4M6NV2A1pAcunLFYfZob5zIJrMd/jaZ9/kujZ720le1n2XF7ILdL\n8Xhh4BxWVzcX+MKQ2hGfBhTYkWPNOnhSArAWxpiqzpyxycRinB9iQ5cQcowVBv6WpSchRKPR\n8DyPq6AaRlIFQNJD4MWCr6293QElsLylfiIIgk6nMxgMbnd+2HKXHtKDFX7lSeGBMQajkQ5Y\no+vgkPb40EGG3K2/OTcaeMGLa896eX2/45EPclEb9DdT66RC4zRWwp5BFNiR4055fhAE6Tgr\nyzLLsnq9nhW3vWgeiJRyx7IyQshpIIOZmZmiKKSUKogKg9wC2zuAVFULtzYN2SfGUOZZlcDH\nGGu32/V6fXV1dcflug2tOXfuGXZpnpuRgwMYrEY+BAMzBcqQydAxMADNpnj+w7UHXxHY2+TJ\n3eqmJbpdslaSMTYWNKvUOkpNOR0osCPHnbYQQlSXuX6/Pzs7iyQHDts+PgiCMK4n1MGOkFMq\nNwALRBBo3Fz6MCkex7A/9DyvXq+HUcwYlpeXd4/qAHDBnvECPVriTy8xMAgO5zBc5tJzotpF\nYABnrab/wAuC+34q4MEBAi57U5B6m2/Nc2xdVWw2ISkcOC3omSTHXarRbJ9LhosD5M65hYWF\nS/d1S9wo932pZoz5vp9lGWPM87wgCIIgYCrYpWUAIeR0uHvTAj0BZvIwDL2w5gAGd33++j4L\nNYIanv1wOf6OHl9D7qALpktmNOK6Y4xJKcNWfP5ZwYOv8IPGwZbR3JY8PMZ2XoS7qWAijhEE\nO5xGTigK7MgJkGi0OtNL1+eNMcaYpaWlB557bn5+fp/fzhjrdmfAoC2sg7Y77MgQQsj+cYZQ\nwnC/ZL51CCS0Nvv/tAmgMeMuPVN/b5GVJdOaOQNjwS08X0qPTV/iz/0//Khz4EoxuyWS5Tu9\nw1uLlRW49YU9z0e9cdAfQo41andCTgYW4kdfPHf+GeLcBVPvGHmQbQNr7fXr82VRpCUyDU29\n6wghh1YYaIdQGI9ba+3Kyoo7yBYA44inXKPjHOPKc+DgkklfMInmFHv2K8J6907eoLeOERPy\n5vU659DrbQ6TFZK61p1CtGJHTgbrkGjMzM1de/qHxpRpmlZtUPb57VVzEy/27jhLmhBCNliH\nzCAQsBCCYTwa3tpaZU+zL4/kRQwbqtFTU7PB979RRNx2H1APvFS1n3HwediAtW5bYCfcTUl2\n/R6KfO1rxtHpHLYnKDmGKLAjJ4Zz0BZBEKRpOh6P2+32/gM7AEmS1BotbQ/cp4oQQrYSHCE3\nAMCF1SUXaj8Nind07j75ql9qTj0zNgwLV9x/PZ4++DJv6vIdvjXr7Ql+0t/2qAZ9bA4/Y2i3\nqRfx6USBHTlJtEMYhmmapmlaq9VqtdruBWiMsU6nUw1zLMtyNOgFtVZOU2IJIYfhYCAcYDQs\nVDrYe6TYjsIw7JzrpnqtwqN7iU39fCjUnTcdMdtz/OSWuxoNsfWDcKsJz7vjn0OONQrsyEli\nLKK4robDsix7vd7MzMzugZ1zTimlwlod4AzWIaOaCULI4RiHdP1KEitcv3074tuRUrbbbelH\nN826OExUB6DMt90Uam0rNhlj65WyXqcJE6cZ7a6TEybXaLfbnPMqtpudnd39/MXFRVdmmcG4\nRKppH5YQMhmMIVZYWVqoGhTvX7PZnJm7YGQ08StSkW1+zRiUzwBk6baWdbUa4tpEfyo5ZmjF\njpwwxoHJsNvtVuMdAUxNTS0vL9/2fGNWV1enZ+ZKC8mRGxiqnyCEHA5nUDZbuL5yoBYnQoip\nqSmocHwXGiY7hzLbDBRVAMaQZehtDjxDFKFWn/yPJscKBXbk5NEWvvKVstpxyRGGYZV4d7vz\ni6K4fu3pmZkZAeE5ncGjdTtCyGH4AsvLqweK6jYy6uzdSfMt0m3tVlTAsgy93ub02CA469Ng\nP/7xjz/55JOHvJM3v/nNz3ve8ybyeO4SCuzIiZRqeK6UUmoruHPNZnP3XgPGmPF43Gg0uPSg\nDzYnmxBCtuIMpkj3OWSi0ul0vKh+U0bdZOU3NQkQ6Pc3r3W+j+aZb1k3GAx22d7ZpwM970eC\ncuzIiWQdDPettZyBcemcm52d3b1rcb/ft+DjksaIEUIOxTkEQRiGmwUIYRi2btPqV0rZ7XZF\nUM/uco5vNt68+7KALVmw/g7v+Wi1dx4vRu6SGzduvP3tbz9//ny73f6Zn/mZr3zlK9VxrfWj\njz56//33X7hw4d3vfnee55M9DgrsyMlVWkAoDltY5Hk+Ho9nZ2f5rt02s2Qk6SVPCDkcB6Qa\n56a7nPM4jrvdbrfbDYIAAGMsiqLp6enq4MzMzPTsBSPCu90avcw3m9gVOYyG4q4q3fV9tCmq\nu+fe9ra3feUrX/n4xz/+mc98ptFovPKVr6zGYD766KOf+MQnPvKRjzz22GOf/exn3/Wud1Xn\nT+o4APbWX/qVP/7zv7i3vy8hkxFIlAa+BIDlhetCiFarde3atdudzxjrdrsFC2jNjhBySL6A\n4igsAATCra6uMsbqzba2KOy93hkYLLvRigOQZ8gTtKZM1FJJCf9srNW9513v+MuP7R3J/Mmf\n/Mk3v/nNQ/6sX/3VX/2xH/ux3c+5evXqxYsXH3/88Ze97GUAyrKcnZ39wAc+8Ja3vOX8+fOP\nPfbYL/zCLwD49Kc//cY3vvHpp58Ow3Aix7vd7jve8Q7KsSMnWNWUzjpIju7M7Hg0zPP80qVL\naZouLS3der5zTmstfBoXSwg5rNyg6nYuORhjcbNjLO5Guet+pEMHIEuRJWAm90KZG9qBPTLG\nmN/7vd97+OGHq5tlWWZZZq392te+NhqNXvWqV1XHH3nkEa31E0880Wg0JnL81a9+NWgrlpwC\nDBAMDK5WqxVFUZZlHMc77snWarUgqtFVjuxIcfBJvDgEg6Ir66nmC3hbhnE5h3GJTOOoRlHn\niTMlxiOkCRSzcTMwUimPdmCPzOXLl3/3d3+3asiVJMkv//Iv1+v1N7/5zfPz857nbaRjep7X\nbrfn5+cndby6SZcfcuIZh6SEtRZgvu+vrq4uLS1duHDh1jPDMEzKI7v4kjPCurUJUeRUihQk\n33YZcYA90mc86WM0RJ7D5w6MBzVGa3XHgXPuYx/72HOf+9z/+q//+vznP9/pdJxzt44V1lpP\n6nj1BW3FkhOvMACghBAMYRgmSTIej+v1+q2TZPM892sRBXZkR5N6YThQ5fVpZhzyLZMJBUMk\nbWb4EcZ2XMFTYKVljDuGqI3a2e5XdxwsLi6++c1v/sEPfvCHf/iHv/iLv1htIs3NzeV5PhwO\n6/U6AK11r9e7cOFCs9mcyPHqR9OKHTklnENZls65Wq0GYGFhodPpeNvHXA+HQ5SJL0CfYwkh\nByUYamrb1UNxRAq55Uf7cXGqyx76cVx8QKqANbqMoroj55x77WtfOzU19fWvf/2tb33rRmrQ\nQw89FEXR5z73uerm448/LoR44QtfOKnj1U1asSOnRKYRCZZlmRCiGkQxPz8/Ozt75cqVjXOc\nc4uLi1EU1et1rgIHFOaI91AIISeC4kCZrPTH7alpX4AzcIbSHmVqXcUTQJlaKc/NcdFg2z/M\nkqPxT//0T1/60pd+67d+64tf/OLGwec85zkXL1585zvf+f73v//ixYuc8/e+971vectb5ubm\nAEzqOCiwI6eGA5iQYSQdEMcmTdOyLAeDQbfbXVhY2HpmkiRJkkgphRDnurN3tRc8IeQUUBw2\nH1VDCzhfttbW63WooLg7w8H2iQGBRDYeGGPiRjsp4Xt0NTsWvvzlLzvn3va2t209+JGPfOQ9\n73nPhz70ofe9731vetObjDFveMMbPvzhD1f/OqnjoD525FQKJZJhL0kSY8yFCxe2LtrdZGpq\nSoW1TN/u3wkhZ121Vre4uLh2U6lOp2NFcOQLdUxn/X4/y7KZmZmiKOI4dkwcVb+Vo3Xc+tgd\nIepjR04nAdNstVqt1nA4HI/Hc3NzN27csHaHy/BwOOyEtXv/CAnZEwMiBQckZ/Kt+pgIJWCK\n60tLAKSUzWbTj2qphju6qE4wBBKD3spwOKyOjMfjVqtlIOgz6u7e+c53GnPYVdaqiclxRoEd\nOYUcE85aY20cxzdu3DDGdDqdHVsW12q18kg3Uwi5nUDCmVJKWZN2pMXe30AmLVIY9lbG4zHn\nvFar1Rqt0h5ZnM0Zqty+dDy8vtCvAhQhRPXAUk1NdvZ2/GOyiaDAjpxC4xI1jwvJAXieNx6P\np6endzxTax2EOPRHOEImTHAwWzLGHFhqKKo7AoHEqL/qnJuZmRFCWBzlLidnUDZbXFyuepUp\npaIoklKGtUZpjmzcBTmeKLAjp9O4QKQgmOt0OnmeSymllBv9GzdorZnOOA+oNpYcK8YigQIA\n+tRxFCSHxx2v1YRUxiHRR1w+7wusrva11pzzTqejgpgxlIa26ckOKLAjp5MDxiUCyXwB3/cZ\nYzMzM/Pz8zdl2oVh6HmepaYnhJAttMW4ZA7KFkfw0wWDEigtjAUAxWGKNM/zWq0Wx7ERQUq5\ndOT2KLAjp1mmYR187gDmnLtw4cLS0lJZlhtLd8vLy2FU0/vOgxYMDpAc1sFY6ixAyKl1JClr\nVWFENbJMMoDBl8iTkdb6/MXLpUVuAJqdQ3ZFgR055QoDBu5xq5QCMD09XRSFEOLq1avVCSvL\ni+2p6f10s/M4AumccwCstcyTo6P4NE8IOX0Egy9QZGMmAkAIWMa5K1NtEES1ghLpyL7RSDFy\n+uUGqeG5gbXWGLOyspIkycZYvSRJVpcXYw98r0FjFnBgjDHGOGOM1usIIYfEAF/Ad5nLh4s3\nrvX7fWutdXDO6SKTfmhEOC6PeLgFOVloxY6cCdrCWCiPg/HZ2TljNOf88uXLSZJYa4UQzuhY\ncg2e3X7pTluMSwjGGAMgCkpzIYTcKQYoAaazUW80Ho+VUrVaLao1Mg3fQTuhuchplY4cHAV2\n5KxwwKiALyHghJQM0FoLIcqyzLJsOBxOTU0pwaXC6PaxnXX3tMxCcvgC1qG02H8iIDkdJKcn\n/RRigOBQHLbMxv3xeDwOw7Db7QovLOzafivVupLDoMCOnCEOyDQ0ZxzwJKy1QRAEQVCWpbWW\nc55laVEU9Xo9Mdwcg/dUvV4TF0lnHRtrONr/PTN8AYBiu1OCs7VaV1NkRVqM0tQYU4V0kEFh\nQDsAZFIosCNnTvVOKSyklM7BGA3A87yyLIUQSimtdc3zCoP8GLRB0RbaIgPzJTg1NTtLKFn+\npGMMikMycIY0GWVFsZIk1towDKemZ6qV+NzSXzWZMArsyBmVagBcMMRKMMYcwBjjnEspsywb\nDAZTU1OmyIQXHodt0GqtkRBy/DFAciiBMkvGSZJlmbVWKeV53tTUlFIKXO6nDJ+QO0OBHTnT\njMOwYJ6AJ8ClEgzOuSiKwjB0zvm+f+PGfBAEYRhyFQDQDpIdi5U8Qshx4wtIDquL0XC0mqZV\nv8wwDBuNBleBdtAWzkFTVHdEvvCFL9y4ceOQd/LiF794o6nC8USBHTnrHJAb5AaouoNyI4QA\n4JxjjM3OzlbDKqwtuVTWQN/b+glCyDHHgFACtiyL8sbq6kb/8yiKarUa98Jcw62vuNPV4wj9\n9V//9Re/+MVD3skHP/hBCuwIOTGMw9hI6aA4JBcAGIMQwjo4iMKgoGwYQsgWnoDHzHg8rlrQ\nAeCcx3EcRVFVFeEoiYLcWxTYEXIzvSWpTjAwBs4gORSjwI4Qso0vMB4lq6urAMIw9H0/rjcL\ncydVEYwhENTbiBwWBXaE7MY4VOkwJzSkk5xm2hJyVygOzuCscc5NTU0FUU1baHeH5cyCw0dp\nnKK9WnJINFKMkNOMAWyvUWmEkAPxBGrS+BLaIjVCRQ3n1cYlcoM77n8pGTKnqDDr1PjWt771\n2te+ttPpdLvdN7/5zVeuXKmOa60fffTR+++//8KFC+9+97vzPJ/scVBgR8jpVlp6nyBkwrRF\nYsSogHEwDsUkojEK6U6TPM9f97rXCSH+6q/+6n/9r//15JNP/tzP/Vz1T48++ugnPvGJj3zk\nI4899thnP/vZd73rXZM9DtqKJYQQQg6EIjCyu//8z/986qmn/uM//qPdbgNwzr3pTW8ajUbO\nuccee+yxxx57/etfD+CjH/3oG9/4xg9+8INhGE7keLfbBQV2hBBCCCET9PDDD49GoziOjTEL\nCwuf+cxnXvSiF9VqtX/+538ejUavetWrqtMeeeQRrfUTTzzRaDQmcvzVr341KLAjhBBCCJkg\nIUQcxwBe8YpXPP744+12+wtf+AKA+fl5z/NarVZ1mud57XZ7fn5+PB5P5Hh1kwI7Qo4pxaEE\ncg1D+z6EEHIC/e3f/u1oNPqzP/uzl7/85U899VTV9/6mc7TWkzpefUHFE4QcU9oiN9SphBBC\nTpivfvWrf//3fw+g0+lcvnz5D/7gD5Ik+fznPz83N5fn+XA4rE7TWvd6vQsXLkzqeHWTAjtC\njgZjiNTacMkdOcBQTSshd5knECtQUyAyQV/+8pff/va3l+VaS8N+v59lmed5Dz30UBRFn/vc\n56rjjz/+uBDihS984aSOVzdpK5aQo+EcCgNjwekthZAjwgAGpJqWxskkveY1r3nve9/7a7/2\na7/5m7+Z5/nv//7vP/DAAz/1Uz8VRdE73/nO97///RcvXuScv/e9733LW94yNzcHYFLHQSt2\nhByJSCGQ0BYOlEJHyJFx1ECO3AVTU1Of+tSnvv/97z/yyCM///M/32q1/uEf/iGKIgAf+tCH\nXvOa17zpTW963ete95KXvOTP/uzPqm+Z1HEA7K2/9Ct//Od/cW9/ZULOLs6gOBQzmRU0EZIQ\nQg7vPe96x19+bO9I5jd+4ze++MUvHvJnffCDH3zlK195yDu5e97xjnfQViwh9w6rojoO4zaj\nOk/AEzAWhb3zeUSEEEIIaCuWkHuJAw4YlyjXAzhfQEFzQHEnKNmOkLtM8duWKxFyOtCKHSH3\njnEwZu2LQIIDukgzY+I4No5pc9SPj5ATgjOEEsYh0wf7Ru3gKKPurPrt3/7t8Xh8yDu5ePHi\nRB7M3UOBHSH3GmOIJDiscbzX63U6HTAGh5rnBgWt2hGyN+eQ6DsJ0SiqO8suX7581A/hXqDA\njpAjIJhzDoJZpZTy/HFR1cZSVHevSQ4GMAbrYCz1vDgx3Nr/CCE3o8COkHvNOQxLFkommXOO\n3qHuKc5gHQSHL6DzNE9zY4y1VgjRaHXG5VE/PkIIORwK7Ag5AoIBDgZMCLG4cGNqeqa04OzA\nCUNknziDc2AMsUJhoASuPX3F2s0i5FqtJpiTnFEPGkLAV7ehAAATb0lEQVTIiUaBHSFHQFv4\nAtYhDMM8zzlsKLkDCuqVOlGcQXJwBo874xiAZDzSWvfzfGtU1+12Pc8zxtAlkRBy0tFVjJCj\nUVoIhjAMe72eMYZxnmmK6vaLMQi2c1ZcFcwpjjJPrbXjNNVaW2unp6dXVlayLLv13paXl40x\nnPNutyucYyowFoxB3+VZvYpvNr4hhJCJoMCOkKNhHQLhHNj09HSSJDWpCmp3sj+cwXO57/lJ\nuS0w8gUkRzoejvM8TdOta3IArl27drs7NMYAsNZev34dgOd5nudZa+M4DoPIOpQWDHcShIUS\nADKzQzEmw+aY4Crzb+O4LyEYxiU8QRv0hJCDocCOkKOhLXLDfOG4kPV6I8vS0AsLc0pGxwq2\nxy9ShTQO8AQUR1IeoIJEcQx7wyzLwlrTurUfFEoMe8uj0egwD7tSFEVRFACSJAGglOp0OsIL\n9gzsGFsL1xRfC9oEgwNUkTLGpBcAKPNUCMGkV00ZEWwteqvm0HscDpAcxq79J8op3CeEHAQF\ndoQcmdxAWwaAMXh+CFP6DE4o4yAYUg3BwNlx361TfK3paySRrwemPitzKCXAGQoNBwgOzsBM\noZlXWsQKYLAOnIFhrUw107BY+6IKDUMJ65AbMAbJ1nZgdZ4kSSKEsNb6vu9Jaa3trwyrOGyy\nhBDNZpOrINmpYFZwKI5qZEiZp1WBbWltP0nKsmSMudu0TVNKCSGq/9dKBUEQKe4ciixJ07RX\nFFLK9tQ0VekSQg6KAjtCjlIVBgkgLSG54ibLxmOllGMsDiJd7QAe9YO8VRWKaYtQQnAoi0RD\nMBtKPioBILPKk5DVDLVybI3JikJrXZZlo9EIgmB5qV+luzHGpJRhGHpxLLmSHKbMA0AKmRph\nAc4QKZRZkmWZMaYoCq01AK31YDAAEEVRnufVduoESSnjOK41WplGestmqOLwBJLRYHk0Ksud\nn6LbRXUAyrIsy3Ij4e/WELAoCqV6Qa1VrdgpDiXAgCJLlFK5U6djZZcQMnEU2BFyxDwB6Urr\nrGO+k0GzFSwuLKRpKqWs1Wq+79f9YFzCuePS7s4X4Awwha88AMuLC+emu7ECGGdArJCMBlKp\nwcooy7KbEt0A9Hq9rTedc9XWZ7UIp7Wu6hiEELVaTTOWpumO97Nhsgt1nPMoiqo0O839cQm2\nvrMsOSSHYCjzNB2ny+PxLo/qQHYMAZMkaTRbgkPnaZZkK+OxMabdbgs/MpR1Rwi5DQrsCDli\npYFgzvP88XjEOXciqtfr1bpUFQPV6/VWu1NYlBruGHQzZoCA6Q2HxpgoirIsu/LDHwBgjGF9\noWthYeGgd1stYlVfG2OMMSsrK5N95PsxMzPjeV5SonQQDJGELlJrrS9EkRaD8bhKv7sHyrK8\ndvVpay3n3PO8IAg8z4tqDdqfJYTsggI7QiYslDvs3O0i9gB4mYEX1myZGV2GYXjhwsUkGQ8G\ng6IohsNhkiTNZjOu1QGkGkfSRLfq8esAxmAgAKRpmqbpxgnVslNZljetyZ0gYRg65zINxhBy\nk+f5Yq93u53We8AYI6WcO38BgC6L6r+wL8AYSrNWq7GBM6q0IIRQYEfIpB20OUVarldBcnAV\nWMA4mLKIoiiK4zRJer1eWZYrKyuj0cj3/TiOHffNPY/tBAOrCiBsORwOx+PxvX4Edw3nvNFo\nxPWmtrCA4uivLi+Ox7skyd0zWutqQbRy7ty5KiHPWVtqba11zgVBEIYhmCgs5HpP5qpe2Lnj\nXnxDCJksCuwImbCDxgLGwRgwwBcOQKIZAzzPGw6HWZaFYTg7d348Gg6HwyoXrSzLc+fOGS7u\ncW+U0iKQyMeDLMu2LtSdaIyxer3eaLXXkuV0VuT5Yr9/HEK6HS0tLd160FobxzXjIHVSPTta\na8/zut0ul8K3GNHuLSFnBgV2hBwLDhiXDFjr8VHtwdXrdWPM6spyvV4P43qRJcvLy1mWLS4u\n+r4fhqGUQWHubtYdA2JpxkY4B2MRRZGU8nQEdmEYttttIUSepWVZJkmS5/lRP6g7kabp1atP\nV6t3GweLorhx4wbnfHp6WnFB63aEnBEU2BFyXGwsvyUlPCG8ICwNAg9xHBdFAauhoulpvrS0\nlOd5nufj8bhWq9XrdQtRtbe9GwSHYyKUSEpwBmvtpEpBj9bc3JxSqt/vDwaDY7s+t387dnup\nsgP7/X691aHAjpAzggI7Qo4d4zbLLxiDs4DwcgtjEaggCIIqv80YMxwOhRC1ej3AwSo29k9b\naLvWg1cw3FhYmHjHuCOxuLhojDkFId2ekiTpdDoHrekhhJxQFNgRctdJvjZpStttWXEMa0Wm\n2N6jjgGh2kx7l3ztNC7QW13eWrVgrV1ZWVlZWTl37lwcxrm5KwWzVemlLyA4NsLKk67qcnyK\nCSGCIAiCQEpZGtAkYkLOCArsCLmLqqkJgsEYI4RwzhljDJMACoOAlVwqBjhrSiccINaLGa2D\nLwBTmMKMjPF9X2s9HA5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+ "text/plain": [ + "plot without title" + ] + }, + "metadata": { + "image/png": { + "height": 420, + "width": 420 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "ggplot() +\n", + " geom_polygon(\n", + " data=world_map, \n", + " aes(x = long, y = lat, group = group), \n", + " fill = \"#e0e0e0\", \n", + " color = \"white\", \n", + " size = 0.2\n", + " ) +\n", + " geom_segment(\n", + " data=connectivityGeo, \n", + " aes(x=`Local longitude [deg]`, y=`Local latitude [deg]`, xend=`Remote longitude [deg]`, yend=`Remote latitude [deg]`, color=`Tx count`, linewidth=`Tx count`, alpha=`Tx count`)\n", + " ) +\n", + " geom_point(\n", + " data=connectivityGeo[, .N, .(`Local longitude [deg]`, `Local latitude [deg]`)],\n", + " aes(x=`Local longitude [deg]`, y=`Local latitude [deg]`),\n", + " color=\"red\",\n", + " size=3\n", + " ) +\n", + " scale_color_gradient(low = \"blue\", high = \"orange\") +\n", + " coord_map(\"aitoff\") + \n", + " theme_void() +\n", + " theme(plot.background = element_rect(fill = \"white\"), panel.background = element_rect(fill = \"aliceblue\")) +\n", + " ggtitle(\n", + " \"Distance traveled by transactions from remote peer to local mempool\",\n", + " \"Cardano mainnet\"\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "id": "4ae50838-f2b8-4b38-a40f-692dd34a6c30", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "ggsave(\"mempool-distance-map.png\", units=\"in\", dpi=150, width=8, height=6)" + ] + }, + { + "cell_type": "code", + "execution_count": 54, + "id": "6693d1f4-3a46-4e21-b55e-0e165841dc45", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "ggsave(\"mempool-distance-map.svg\", units=\"in\", dpi=150, width=8, height=6)" + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "id": "3fbedc60-9c76-4407-8f00-1f0182d52966", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "text/plain": [ + " Region Tx count Distance [km] \n", + " ap-northeast-1:327 Min. : 1 Min. : 0.0 \n", + " eu-central-1 :531 1st Qu.: 125 1st Qu.: 768.4 \n", + " us-east-2 :311 Median : 662 Median : 6837.3 \n", + " Mean : 2058 Mean : 5923.2 \n", + " 3rd Qu.: 2082 3rd Qu.: 9323.5 \n", + " Max. :38075 Max. :18553.2 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "connectivityDistance <-\n", + " connectivityGeo[, .(\n", + " `Region`,\n", + " `Tx count`,\n", + " `Distance [km]`=mapply(\n", + " function(x1, y1, x2, y2) distHaversine(c(x1, y1), c(x2, y2))/1000, \n", + " `Local longitude [deg]`, \n", + " `Local latitude [deg]`,\n", + " `Remote longitude [deg]`,\n", + " `Remote latitude [deg]`\n", + " )\n", + " )]\n", + "connectivityDistance %>% summary" + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "id": "d6103657-31a0-4839-918f-61950082e8a2", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": 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88/v2nbznGcVnMTomoowujvDhw4cNOmTcOGDXvllVeefvpph8Px/vvv//a3v9Xe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\ntmmxDi3GpsU4tPQO/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+ "text/plain": [ + "plot without title" + ] + }, + "metadata": { + "image/png": { + "height": 420, + "width": 420 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "ggplot(\n", + " connectivityDistance[order(`Region`, `Distance [km]`)][\n", + " , \n", + " .(`Distance to peer [km]`=`Distance [km]`, `Cumulative fraction of txs [%]`=100*cumsum(`Tx count`)/sum(`Tx count`)), \n", + " .(`Region`)\n", + " ],\n", + " aes(x=`Distance to peer [km]`, y=`Cumulative fraction of txs [%]`, color=`Region`)\n", + ") +\n", + " geom_line() +\n", + " theme(legend.position = c(0.75, 0.25)\n", + ") +\n", + " ggtitle(\n", + " \"Distance traveled by transactions from remote peer to local mempool\",\n", + " \"Cardano mainnet\"\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "id": "925b5656-238b-4e32-9e6a-0f5139d53d79", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "ggsave(\"mempool-distance-cumulative.png\", units=\"in\", dpi=150, width=8, height=6)" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "id": "3950c9c3-c0d7-4350-af1c-9becd8891f46", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "ggsave(\"mempool-distance-cumlative.svg\", units=\"in\", dpi=150, width=8, height=6)" + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "id": "fe571a52-c540-4cc0-8967-e2ae433d854c", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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59+unjx4mbNmu3atatHjx5l67tOp1NaLkNVRVVY/Nw2bdocOHAgOjr6yy+//OCD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naCrn9ZNw6aVuJlBe4aVdyWOUkKDgaTG7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\nxseAc5TP2UvPl41Pl0b2Fk4rSHrQt/pGd7jIzBSZnXJq6sLnJh5a1nHYGB8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LbqDDj0xNyG+/yUWJVVTZK9ZeSBhjldX2toegkL9E8N0h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\nlXA4zBiLHXGZGgAAyBiEcXKaLiRiJZq0jlwpUKEUDWGyDoe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+ "text/plain": [ + "plot without title" + ] + }, + "metadata": { + "image/png": { + "height": 420, + "width": 420 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "ggplot(\n", + " connectivityDistance,\n", + " aes(x=`Distance [km]`, y=`Tx count`, color=`Region`)\n", + ") +\n", + " geom_point(size=0.5, alpha=0.5) +\n", + " ggtitle(\n", + " \"Distance traveled by transactions from remote peer to local mempool\",\n", + " \"Cardano mainnet\"\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "id": "2456e89c-cec2-40f1-af33-e6d8f9cbfd54", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "ggsave(\"mempool-distance-scatter.png\", units=\"in\", dpi=150, width=8, height=6)" + ] + }, + { + "cell_type": "code", + "execution_count": 61, + "id": "564b6a70-4f64-448d-acbe-9d0b8b67671a", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "ggsave(\"mempool-distance-scatter.svg\", units=\"in\", dpi=150, width=8, height=6)" + ] + }, + { + "cell_type": "code", + "execution_count": 62, + "id": "19dcf826-2723-4938-99ce-2fe062b6b3ce", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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C1AchkgCRjqIUij35azAiQHAZKAoR6CJL/0B3nbsvWA5DZAEjDUQ5Bm9ZxVe03P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\nAAAAAElFTkSuQmCC", + "text/plain": [ + "plot without title" + ] + }, + "metadata": { + "image/png": { + "height": 420, + "width": 420 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "ggplot(\n", + " connectivityDistance,\n", + " aes(x=`Distance [km]`, weight=`Tx count`)\n", + ") +\n", + " geom_histogram(bins=50) +\n", + " facet_grid(`Region` ~ ., scales=\"free_y\") +\n", + " ggtitle(\n", + " \"Distance traveled by transactions from remote peer to local mempool\",\n", + " \"Cardano mainnet\"\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 63, + "id": "7aa0d67d-0832-4dcb-b0b6-a2e7edb0b562", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "ggsave(\"mempool-distance-histogram.png\", units=\"in\", dpi=150, width=8, height=6)" + ] + }, + { + "cell_type": "code", + "execution_count": 64, + "id": "ec065487-f4c3-4686-9bc0-aea923675fc0", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "ggsave(\"mempool-distance-histogram.svg\", units=\"in\", dpi=150, width=8, height=6)" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "r-minimal kernel", + "language": "r", + "name": "r-minimal" + }, + "language_info": { + "codemirror_mode": "r", + "file_extension": ".r", + "mimetype": "text/x-r-source", + "name": "R", + "pygments_lexer": "r", + "version": "4.2.2" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/post-cip/mempool-measurements/Preliminary exploratory analysis.ipynb b/post-cip/mempool-measurements/Preliminary exploratory analysis.ipynb new file mode 100644 index 000000000..b29098b07 --- /dev/null +++ b/post-cip/mempool-measurements/Preliminary exploratory analysis.ipynb @@ -0,0 +1,519 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "70236d50-3d6b-4d54-ac80-558dd69c56b1", + "metadata": {}, + "source": [ + "# Preliminary exploratory analysis" + ] + }, + { + "cell_type": "markdown", + "id": "dc73dcc3-ebf6-40c0-a5db-7bc9e4216e86", + "metadata": {}, + "source": [ + "## Set up" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "e5efe5ed-1be1-4061-aa54-363a3db86505", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "suppressMessages({\n", + " require(RColorBrewer, quietly=TRUE)\n", + " require(data.table, quietly=TRUE)\n", + " require(ggplot2, quietly=TRUE)\n", + " require(magrittr, quietly=TRUE)\n", + "})" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "58204482-83e7-470f-bc75-ff4c56ec4f70", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "bauTime <- as.POSIXct(\"2025-11-22 02:00:00\", tz = \"UTC\")" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "aee818f7-7b7d-438b-bc75-7d37e81fc67d", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "bauSlot <- 172210527" + ] + }, + { + "cell_type": "markdown", + "id": "f74160e9-e9f7-4b7b-804f-69379da765b3", + "metadata": {}, + "source": [ + "## Hourly summary" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "e29395ae-6b3c-4b0b-b1a8-035b668c327f", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "text/plain": [ + " Region Time Tx first seen \n", + " ap-northeast-1:235 Min. :2025-11-19 21:00:00.00 Mode :logical \n", + " eu-central-1 :312 1st Qu.:2025-11-22 13:00:00.00 FALSE:393 \n", + " us-east-2 :225 Median :2025-11-23 22:00:00.00 TRUE :379 \n", + " Mean :2025-11-23 19:43:54.72 \n", + " 3rd Qu.:2025-11-25 06:00:00.00 \n", + " Max. :2025-11-26 15:00:00.00 \n", + " Tx count Tx fraction \n", + " Min. : 1.0 Min. :0.0007418 \n", + " 1st Qu.: 21.0 1st Qu.:0.0206186 \n", + " Median : 671.0 Median :0.7649379 \n", + " Mean : 612.1 Mean :0.5181347 \n", + " 3rd Qu.:1015.0 3rd Qu.:0.9855818 \n", + " Max. :5138.0 Max. :1.0000000 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "mempoolHourly <- fread(\"mempool-hourly.tsv.gz\", stringsAsFactors=TRUE)\n", + "colnames(mempoolHourly) <- c(\"Region\", \"Time\", \"Tx first seen\", \"Tx count\", \"Tx fraction\")\n", + "mempoolHourly %>% summary" + ] + }, + { + "cell_type": "markdown", + "id": "a3894bee-b848-41a3-a8c4-6d68ccef197d", + "metadata": {}, + "source": [ + "### Hourly fraction of transactions preceding the block" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "4b9bf417-0122-4153-a2de-c9bb20fd9f21", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": 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tPZ7FJpUDxKSHouUWD85Ds8/wDw94b/JDKO/kIpLZ3KnqpPQRZwKZVrvMv0/hqR\nMf/5qeA9tylb4nDF9hRJ8fam2UQALZ2x2FlNEt+5QDsJWhY7vmqvZDYLBUWdGovBiBsm7HoZ\nYYtdMlyxAywFZ6RN+LTle3l72cg+OT9M1zxWKaTGO4YWWXIOBhoApPIpFpibBI2k18cPvUVA\nJqeOqA7WI0mJsUb2w1U1SpCCUshMOtz5RBIBwFgteKWdJuyf/S9QotFTed7xm6/7vu2nL13r\njq9c/efiG25f/ENkf5XDLj5iaqw4HueqMSP9fVJaOgKB1pvvdD52JGq2B619dBmXudZctuuP\ndxRc8sShf8hvKS1bxiVpWuYzeQ5zpmTbXLFEvnnU28R1RDOY1QdDRrXIWWnOc4JjqJHRKMHy\n4ebt4bT0uvyhAP429u7r1j9kfIRIdH51RBJpeEtWfJ5qZJ7nAXWqU6ddsQFit3TCXActV2yH\nT41tNcHoLpiw62Uk6IpVcW3OuZ+2fK9skWWQcRsYATk3fcpL9UsBtAreuUWzbsufJb/7XN17\n91eHy9cNtBbmmNKzTekAkp4YqyyzotMYFEMAzKTjL1m6l0mU37wBb8t/Hjs9f8iJky+NatqM\nuVZTUo/7R9Pyuw/8FcCJjlHuOdPxgfZVJKjtut9+RloOE1dLqGwICHHPmWfaszPl3Tf9U0/u\ninN1yiu3w3cAgFLVUWyVq5smfEw3sDG+XHWW4K8OF6n+JNAkPGC8+5EY56sPnHdeXvzYG/vl\nlqgu+7Y2867tYmZ227W/sX38ft6Wjc/XhvV9629/J9mP1PU42oyv0eisfzbFLFl4yeUzpK4k\nwBPkMu1Rt5TVNGBTYSeBRPZBZ8IfGYwEYcKul+ETA0he8sQpaRXy68iE1kiTQzTNQVUd5dqc\nDk7J63Kmy8Jut/8ggGw+DclwxcYRLwggCAGA+vEsRHXFApCEUOO+tfb0grinCmBK6sh/NC0H\nkGfKHJpSgujBWJ3iaHCD8tX7AQj9w0ZL0ZkOgHP1ZEUbChV2MYnMTVEtqZw8cVGVjQSDktkM\n+pFpmWkXrwM1y3VDxNuzV0+6yDHUefo9QdIGoCXw+2g9pQ1rIQjBUWNAiHnLRuVbqc8+rik4\nqGWXXrvmFyoy7b2zKL8C3ZBdm54iGrTYeQNEFKMG2EVTbPT3R6QrlsHoZpiw62UEwha75Ai7\nvHUzIxsTjE8q+/ES5W95VTRb7roZXwxbiC6w2EWiGbrebrHTcMUSTvuveWtq9sEGtmMAACAA\nSURBVNV/S/S39W1V4Yi6ulAzgd6ump19TOrkzCr7yK87JQSN2BhMB6oACMUD6I9Seo8JO9XS\n7fAfICCaUWiejm2RUYOzds37z7/Uvx5Pq08NVVcJpYOcj85XOlUHnr1bkMTNo/4Ow8v7/PbZ\nYlH/tsuvoT8qj2qd/XvJajUyzsiUspG2UqrqAHAN9ZrdwtF1HBc8bkzMYZW3k6xoY96TiVua\nDZJIIkWaTaxv5YMCMfMxvs7ejimxlJhLF7bYMWHH6GmYsOtlUIudxYA/qCuIFsSmf4iqJduU\nBItdZ08qE4SGsEP05ImuQNNfnAj62QwGHUDKblxTg+Pl54LDjovWmY5PD+GrqySTScwvpG9J\nZgtS7KTbhV3kMu7w7TeYWxBJbaAp44ya/WP/qRw27fS1LftPtr/zhqrzsJQBX7h+aAq5skxp\nBscXc/NI7SFakgaAkJvHNTUGJ0yxrPravHlDoGKimJNX1WYv9e6NNoLjjLV7Un6vFHPOokX1\nuEDZp4MWEcXU5580Mjf3nHlcQ51j8QvKxkRu2ph/eHQPNMyuxcflOAT9nq1+go4pscb0unby\nBIPRzRwte8UyDOIXk1bHzuCvZumMlf5pK6Jt7ao5iP7IozddRUAaggk9+OX5nJk+yeAhdFY6\nFruui27urHRLitST/8XsbH14oX/uA/S89NRiZrZksfCHauTRhNw8KWJ9nI/Oh9fDNTaIhf2U\n7wrONM7tSpbtwvno/JiPVblD7roZ9LXz0fnV/9HOLeAeeDzmSetDh3PNGZEfhKlqb2TnobZi\nANt8+yPfioZQUESEEF9fC4AEAnxjg1RQFBg/CTxv/fw/zscWcA11QkmpZuq0b8y4rNPWDuLy\nUjhr9oFrlW/FvHMMSisxJ0+nel+nvvWq9F7jAy4umaLciTjx/YjTaWKsgYonYYudpXM3sCrG\nznvxL5TvsgA7RrfBLHa9jABoVmyiyRPGpQOtYxfH+HSvWM13nby9UUiORUeV/BFzVmuOewkR\nyRNS9Bi7R85rqHPzjy3PHF/su2Rca2KT7TATOUlFp0NXeLiUYWTuOfPsdrt8xiOdCBHzC/kD\nVcTnk2w2EgzyjQ1CfiFfU60azVS9H5IU6n8k3Cx33QyMhm/ZRNLWKqU6E5lqNE2gekY6H52v\nVCG2ytXaLkkAwI2X5rwY67yCJDYJ7gprwf5Aneotx4j3fAfVwXPDbAMAbPXtm5J6nGwu1S8s\nJxT2N29cz9VUCwVFXE01RDFU2E9ypIbzeAAAg7Z9ifIL5YtCe9ze9pI0j1cc5U+PdR3aGDHo\nRpNunb0bNdN7I89YX7E0MsU46Xc+rXhiJMyuLUAAGM+KpZfJXfEAgPPev1v5lufKXwt5CYXn\nMhidhQm7XoZPCCAZ5U6S5QrU/+Ub7d1JW36dlHInAMbah2z27jk4Nlyz7a/1H9574CX53Sw+\nrUlwPTfgjllZp9KWnb5qRET+EVHPYidIBIApXnOe/vIql+jhmjceO/TW0wNuuzTrdOXhXRG9\npGM/oGcU8gv5/fu4uhqhZCBXexCiKBb2ixR2/IEqAGJ/dR6BrXJ1Y8vhBIVdNFTiINK2pGkZ\narjznrINPx/U1i/m+I1CiyiJa9u2ab4bqdioxW57u8XOf8oZ6aYHATjOWNv22fjIEdxz5vF1\ntQBMNQeDFTDVVAMQi/objM/bkBVANcY2muKWX4duvf+Pn2QPyw9cc3w8X0M6/seHv7tyz58A\nvDt4wTTn2E6NoLP9XdcRdsUasNi1+dUxdpFZSpEtE/9+76IIC6v91ReZrY7RzTBh18tIbrkT\nis5jgBCSnZ2d9F1Ec0zpe/2HQpJgIol6P1tFTyp/ZOPXa3LOUQq7m/MvnH/wlaB0xApCY+xM\n6HheUQCAKMkTLnfrFy/82lUx+qIxN8YxQ+Oy7MLMaY8deutfzf+jwi7xrEPjpK86U9UiFhQC\n4A/VCCUD+ZqDAEL5hfS2U1qPLKtXAhDadzdXSg3e7epcHbDkoWktsxJzhb18tWdrU9Bl0Y1C\nqQ8eBvCr7DOfKLlZbtRUXZLV1vrb3w2Fn4Bs9YWNTlTVARAk0T1nHhVAc4uuuO/vP6FdxAg5\nuZLJzNVUA+AOHgAQKoyqOGXlaqtcXV+xdNPBvwMYc0hoPP5Vx9+erS0e9Qfbdbsdn7298X3b\nxFMDJ56itzQAEHYW6rjK6yuWEk9b3St/XlD8UJBr+2fRrNXHvTjAUqBch0uAKyuBztek1K7S\n1/U73YU3nzBgsaP7iamyYt13zHU+8afwa6bVGEcxLMaul5HgzhNHCdmmdAmSZh3jztIqeB2c\nTf6xaH2H4PH5B19BeyoxhcbYqSx2+uVO/P7A3jXv7Nj4jea7SWSIrf+olLL/udfHnRqSLHLX\nzRDyiwBwtTUAuLBJqV+051nqXzTq3GZ4745sTBZyIF2nVuP41ONESVzZskm/W12wGUCuWXvz\nVpngmPHE7+MPVDl5e5El56coiQ4l1nwAVf7aDiGPHCcWFHLNjcTn5Q/ul1KdUpq2a3VR5SOq\nlo2eXQDGuGyWlV9BkkL5RQAkhBotIb6xg+/YPWee59Ir5NcRFdf0kOyOg3mpBIQQIkH6sPkb\nRGgyqp41M9yjRUZGu4We3z77+e2zF5dMWVwypWXM77tiC1rjNYqpK1aVFcs3NQIIjRzDVB3j\nKIcJu14GtdjZOM2NPXsNNDE2Kd7YNtGXytv1+wSlI4VGqchTWeyoK5ZEccXaUzMu/vOu63//\nfKJzNcCFmdMESYTWpho6PyYI+UxjG1wxM0uyWmn+BF9TLVltYmY2OlqPlD9qaqyu06CyI8y3\nbKLmP1Vn+jCe5BgO4IJNMRRnXegwgFxTDGEXGlwOwLRrO4Ch1uLGkKsx5Ir8pIoteQD2B9Xh\nekJhP0iS6adNxOsNFfVHFNHzG5yqGnC5+4dczpnvN9OKdKHcAgAixAY74erVZyEtLQD4mRcp\nG9sLc+iV3QFw4p7Aoq33vbb5Id+yiR8e/ibapxmZ4R7Np+w953z9M9IPbqdf7fFPCmlWkSMw\nUqPYE+AQEWNH6g8BEHLzu2JuDEYSYcKul0GFXU+VO0kWOaYMAA3BwwmOI0FqE32pXNgVG+3B\n08FiJwkALFwnChSL4J25ZZnZeQnO1ggXZJ6k36EbzHXhE62fKeYVcC3NXHMj52oRC4ty16ur\nHiq1XbQkykQm7J4zL3DCKXEfLg8iv57kGM4RDkDWmnN0DqGu2Hxzpv6wQslAyWSmwm5YSjh/\nIrLn4B8vTeMdVf5aVbtY2A+A5YfVAMSi/pGz3X3TH5UbE3eYoegGwhvOD/j4FQASxPpsO3e4\nmYSCyp68uwUAycxSNhIDFjuVOPvuw6gy10hNSs+VvwZg2r0jZk+ecLt81VKM2cUDx8FhMVSj\nuI2WO+mYFUvDIpXCTiXEN167AMBb5zysbGTmPUb307v1wTGIr4+4YpNjsfOIflESla5YTTrE\n2EkhAOaOd75+8oQoEQCd3A48TsZuvibaW0Y2xo0P6YyVLpfrnbrl1+15GMBnQ58Yax8CQDj8\nX37/PvP6tQBCBUWRczBItDJmRi6B1NcCaLv+FjEjE4D1f8stq772Tb8wjmkAyDClilLswL96\nLYtd5BNaMpmE0jLTzm1cQ/2wlBIA5+/4P80Biy15O3z7RUmkspJCl5RragAgtAs75Ym4NgOX\nBAB4fvvs08adVp9hg9TKNdQr95snLhcApHe4FtL5UrqyfI8MXjTyRRZy8yWn07R3FwRBf7uU\nodaSLb69NYHGIkvy96JITxFrXCZJCq9ANDxB7vnts9FeFSdcr7GhDoCY18Fi554zz7x+je2z\nj31nzSTtdewCk0+wrPrGc8kVQklp0i+BwYgJs9j1MgJ9yBWb+K5ibaIXgJw8IRe3k/+9PXg+\ngICotNiFAJg7WuxouZNoyRMhqvpIDxQevTHvPAAflT9ivIhg3LSEwsVc5HpsNH8iLeNpAOmp\nerVtaVB/fcXSRQPvBjC36ArVu/RFHLuf8Q11ktkituuS0NDhAEzbtmh23n37bOMj66xeWNjF\nirEDEBpUDsCx+Pmh1hIAV+ec07rn8smHHRzh1h+3SL4PSyz5ASlEPbwyqS8eSRewv7lYLiIo\nwxFcXbXyL+KX1+SeC+Dj8keV76pMpBIRG1PNiNh/glaKJhkq62PnSulGM8feeXkxATH0RSYk\nVDaE+Hz8wf1cQx0AYcDASK1sq1w9KXU4tLyxNGgvwQ300myiIKItEOPBd/+a21WnBsDV1UqO\nVClFHfghpWUAIK4W6uAWpfCaRwuaZDC6Gibsehk9u/NEssgxZyAZu4q1Cl4Asis2EjN4tGfC\nUjQtdjQrNqorllrsuqp68REipcYLdR8A2OOv0Xw3ubQIYQORXLaD5k90ip+8+wCMsJVG66Cs\nJIxYF0VCIe5ws5SbJxtYhPxCMTOL372T+P2eyztYN8vO2SPb2GQhEmkjNHIVmhY7TWyfhtX2\ntOfe8i2buNW3r6p55/fpbZMdw/tZcuVu4TC7iKp4sZAASBJ+9OziCXfO9jm6XcUGuwSAyiYZ\nztUCqxUd5Qi90eMrIG2rXC2ZzE+V1toqV49MKXPy9oaQOqZC0/8YKhsCwLRrh3nTBgDBUWMj\ne/qWTXzhrQbfsok7O+7zq6poGLe8S08Rn98+u3DhH3RG0HyLeNpIW6tmgJ3oTAPAuVraHdyE\nc7WAEMlpdBsSBiO5MGHXy2hPnkjOXrE9RQ6fjmS4Yqmwc/BRhR3Nfg2IEcKO00ieiKbdPB7v\nmn/eveLj1xOcbdxQYadJEtWeSwwLu23tZTscLz+rGT+nsyX8T759AC7frX40dnYbAwrXUAdR\nFHI6RDcGh44gQojftd2y+lsAnosv/+nWm2yVq8ekDAbwxvWny3P+4Zaofm39U9cGmmzEksY7\n9A+PVABfvG9/O/2ARHBh5jRlOxV2VYHaaMcqd2WVG6kFSJCw2btnsLU/IlCuqgihwSoCsKxe\nqRycuFpIRpbqQNJxjwRNZMkV+dmlnPLtlnwewNBgerYpTfOLHKyYCMBz6RVy5oowoEziTZbV\nKy2rV0o2W2jIcPlEkULw1lfW6swtbq749C75tbxKsi1QR+1xdbWI8MNSqGWOc7db7ERwbpdk\nd0Tu1MJgdA+92/BzDBII17Hr3cIuea5YH/QtdsQEtStWAGAhnSh34vH6Nn7ysM19Jm65SLND\nsogUTLv9BydvuWGvv0Z+9/Ld8//bsnqApYBuoZFEWkLtws4bFnZx5ENs8e5N4x0uIUZ0mGqE\naEF41PgkdjSTCMOOw3dfp3wULkktlJb92LIKwGj7IADKSrml1g4V/42LYLqfmMHOSuiKmSVu\nZsYJyvawxc7fOYsdlV9uwesV/bLa1uSm8oUSefOld48ILFrDmXi9JBREhvpaCAExYLErO2fP\nz3Z+CEyNfGurM8iBDN/nyknXrknJ799rq1yNhtX1xeG7OvWpPx+ZgM8nmbr76aNdPy+ipeq3\nfyx59n5VO938TdNiJ1mtks1GXC3094ckSqTVLbRvncxgdD/MYtfLCCdPJLylWM+SNFes6AGg\nkzxBfdZKVywVeaqHkH65E5s9beZ9a264U11OrBsotuTxhNsbOCS37PAdAFATbEh62mCL0Aog\n15SxP1jnkwIxvV00emyCYxhPuF2j36qvWOoRfXsDh4bZSuorljabH1j73UgoypHQo9xz5kUK\nrGhBeLR4h5DbwWJnf+WvHQ4m5EfvLgCjUwYBSFeY2ZRFDXW2blO10P3E8nRTYjU54v/9fHyW\nqYMbjpayU1Y80dk5Q54SFXZUcC/od11kCGl9xVL3nHk/XrMAwFdrvoucEuc6DCDSYkcHj1HH\nDlJ9sOWVEg1VB+B7HBjgtTq37dCsSUk8bVxjg+pyVCQYLdd1tPqJaote95x5fH0dAEnLYgdA\ndKYRl4tuOS0FQxBFkflhGT0HE3a9DL+YnL1iexYrMafyKYm7YtsEHxTJE5G0W+yOCLsQolrs\noiVPSMSUPWB8ccnABGcbB2Zi6mfO3eMLu2IDUoi68wJSKFl7ssnQGLtJqcMFSdzpq9Y01ykl\nBW2Z7BghSOIazzYAW71VoiSOSCkFIKWlZwd4ABdeoPBxE0KTQA0SzkNUuGI1TSw/enah3WIX\nTUYoZ9568ue55owMU+r+sf+MtJLS/cSMBNhFq2Rhq1ytmmexOWqMnY6Tmrr2XIIH7VenSbQc\nCOej88OZE+ka10JIDItds+AOScLVVSsXHFzqWzaxOf3JZwbcDuD/9hRtGvA0gGFiJl9T/f4/\nRd+yiaq70bR/n+30TmzirIlPirrhTbJqiGiOQ7edWDrkVwAk3iTZHRBFUn8IPC9kZmuOI6Vl\nECHEB3wApEAQLHOC0aMwYdfL8Il+9H5XLIBsPj0y5rqztNKsWC5qgWIaYxfTYmckeSLuvWIT\nZKC1sElwUefmbl+10F6t42AgyaX5XUIbARlvHwpFmF1MaMnfVa1b0B5gN8xWAkBKz8gKmgA0\nt9VDEPxTp/mmXwBJyt53teY4mvqGq6uVnE4pJapwp/zo3ZVnyiwwa9ilNHWehTP/POu0w6HW\nfzd/q9y3jb6gReyMCDvoBqIpyTClOnm7qpSdZmxZx8lIAFpCXo5wo1LKog0eTdi558zjXC0A\nkKlpfZT0s2JrA81E4gDAagHAV1edk368TeTeLmzeaj7sWzbxvZVHwv4mPf2qMkyNr9qrupyY\nfvC1t3S4MWyVq5Whpe4775OcTgASz8et6gwe6KHbTviaJJM5NGIU8bSZdu/gGhuErJxoYbhU\nxvGtLgBSkAk7Rg/DhF0vIyCF0PuTJwDkmNMPC62CgaJiOrQnT0R1xdKsWL8ixq7dYqfKitVL\nnqDlTrieKHeC9kCxvf5DAHYGqtHubawO1usf2FlahDYnbx+eMgDAjXsf0+wT+XienDqCgISF\nnXcvgBEpAwGIqU4LeKdoavYfBiCUDw+Wj4DCM/ur7DPRcd8I1cjE00Y8bUKOumwYfaHcAKM2\n2KRvrovkl7k/A3DTvscjr8vgfmLKKWmW7VC1FJvzDgTqIh3o1Ij4wZBw/Nm/Bj8gG0RpakOr\n4Cu1FDijb69C//C4YOqpkW8RNy1ipyHsuFgxdnWhZgIOALFaQQi/f19aW/CshvSdNu/FO+/T\nOxJw5sTepkW1aM2C21a5+o5f9BdKBj5aWgNAmRjLNdQTtxsAEQQiCIgX95x5tw15bEHpPQAC\nJ50GwP27e1UdaDEUp6tezMgMjhwNwPL1l0QQovlh0Z4Ya2pzAxCpsGOuWEbPwYRdL8MvBQlI\nby93AiDblCZI4mGhNZFBwnXsoidPhC12yi3FxBDaXbRH0N95QiQATD30XSm1FAKgYXY0wO4E\n5yh0gcWuRWhL5x1DbSUAzs2YUl+x9N6iKwD8peTWSA+sTLYpbbCt3w+e7QExSC12w20DAIDn\npdTUrKCpSWoTM7KE3Dx5A3XKS/9oAnDVzzs8/5QPe67uECIyJ6Ix2j7IeBQdAHqZqg70hcH9\nxGKeQkWJNd8vBalqjESON92hVDMcAIiSpOOHRbs+S+EstsrVVbfdBkDMyKQrGaWIHRCOsdPL\niq0Ltgs7nhOyc7lDB/kDVbNqw77IONKclYfQUEtlz+aQG0Am7wyOHlvusQG4Zs9D8oCmvbvC\nkwYQ8OtMW4e7Psi564McP7EctBTeVL7w1trz7/ogh24cIjlSAfhPPh3tG8WmhlxSVrbQrwTt\nmROmzT9GG7k9MdYFQAoIAERmsWP0HL1eHxxr+ES/mfBE9zdyryCbTwfQEDqcbYr/T1vqitVJ\nnqD16jpkxUJD2NGo56jlTnzejZ88vcJdOOyXevtQdREDrYUA9vgPov2pf3LqmI8Pf1cTbEru\niVpCrYNs/fpbcu2cjZayW+ZaS0BOTxunf+Bkx4gdvv/+6N21xbu3yJKTYUql7VJaRnaA3+jw\nB8uHRjvWK/rF7BzSchggkqNDeRG+oR6AkJurOkROv1AKhScO/SMp+3Dkrptxf9HViLWfmMGh\nlFNqr3hSl6/lMpZj1JSFeemfEgQczQuJBvWopvBmAE2iu19xKX9gH/F5JVsK724Bx2nG2HGx\nYuxkix1HIBYP4BvqrOvXnF2fkF6JNG3Kq9QsuAFkmpyh8uFDvs1QdgCQbnrQh4lCv2L+QBUJ\nBCKrBMeNZf0aAL6TT0/55AO+sQGAl24UG2oTM0qcjy1Qdqa5xpGDUBnHedwAxFAITNgxehRm\nsetlBKRQb992gpJjTkIpu/bkCZ0YO5oVq9hSTAyh3ZJ3hJBe8oTP51vzz7s/ef/NRKYaNwNt\nhWh3xe7wHTARfmrqKAAHg8m02PnFoE8KpPMOAlJuK97jr6kPHV7TtnWUvUxTiCiZnDoCwEct\nKxtCLWFzHeB8dD5Xvf/bVSPcyydYv18Z7VhP0MM1NYpF/YXSMq7lsHIPe66+FoCUWxDt2ETQ\n2SvWeHXiI4do5auqhCYVdtGKDMsWO6X/kXBYXDKFSJy+xa5d2FkANIXcQkEhJIk7VAOAtLRI\nqU5omaIJibHzRF3wcDjGDpLQvwQAV73fLh35juiHFfqWTZydf7FqESIjGmWoxS7L5JR404gm\nEtlNzMmlaTTEH6fFThN+726xX3Fo+EhwHGmsR3uMXarYJmbGuPOPzM2ZhvZteREKSbwpidKT\nwegsTNj1MnxioA/4YXFku9iEKp60dtxSLBKNOnYIATB1vPPDFjtO2w5qtqaeeuPbV91wu+a7\nXc0ASwEB2eOvkSDt9B8YYCmgUXfJdcXSWifpfCqAcltxSBJerv8oJAmVaRNiHjvZMQLAmw3L\nAByXop07HK22hc/XAkkSigeEBpcDoH4x2p/uTyBkqfMQO+VyjYPn6t5DZ2LsDDKv+mWddxuC\n7cJOYbEr2jAdwH/yb9a32EkSAZDKWQA0hlrEgiIAfO1BIgjE0xat7oZxix0BbEv/SRs7lev6\nyBv7jHSjHxy12GXwqc5H52tKRvvYjyWrFQACPuNzMAJXvR88L2ZkcY31kCQaY+cQ2kTtpBMN\nqHo2uVsASCFRcqbF2IyWwehKmLDrZfilYB/InMARV2xiwk6I5YolJo5wHbYUEwVEWuxoODav\nrZgJZymdMGv8hMmJTDVuHJwt15SxN3DoULCpVfAOsfVP4ayZJmdyLXa0WFq6yQGg3NYfwOOH\n3gJgRNgNtBbmmTJpJTOaEqsp4zR9WF5/K4BQ8YDQoHIQYt61XXW4KjIvKVi+PDlmn05Z7DqF\npgClq5dvzqoONnhFtUUq0+TUGZAa3uwmhcUO4A7VEHcLJElM074QSUvXqZJIqMVOtvdF6i1b\n5eqGO++xVa4+9XwP/XyVSS2aFxstQ7bdYpemZwi0WJFsix3F+eh8MSeXBIOcq6UtQEwQbKJf\nzNAubqIBx0nONCrsRFFiKbGMnoUJu15GQAr2gVonSJYrNlbyBAATOKXFjm7dYUJHr6tu8oTQ\no+VOAJRaC2qCjZu9ewAMsfUHUGjKPhhIZo1iarFL4xxQJBZk8Wnj7OVGDq8LhXMCaBG7aNAE\n0sC4ibXWIH1+e0MeiefFov6S3SEW9edqqvW3B9A3yxk02gVO+V/ThI9VbtPPhz5FQORdbmPu\nJ9YpVBOLnCf9Ikx2DBclcbf/oKqP/nWFhR1nBbXYpWdKthRTbY3+VvRcLFdsbbDZzqUAmP2/\nO3W69V9/oVyTUqXJ9H21SnLXzWgKhS12Ot3SrA8DIPEmT+gjZOcA4Brr2wKcQ/RIJrOUmqr6\na0SnYIroTOO8bQBEQsQ0lhLL6En6glPvmMInBqym3l2dmJJtosIuUVcsTzh9E6aFM9NtxCgh\nSctiJ4ogRDMUCT1d7gTAQGvh920/fe5aC4DuGdrPkrvFt7dZcGfxyXmE0OrEtJDKr3Y/QBub\nBBdPOve33ylbZ9PtEFT6TPlEDA4fXb/9f/S1RwqKhf0k3gTqEdNFR98knjkx2j7o/MyT3mv+\nX4LjRGJEbjaGWqzEXGEv//DwNzt8ByI92qpUDCVUn9GiP82CG4SIBYX83t38oRoAolPb2kcI\n0DEHi85TPlF96HAu30/ZQVmSRvmBTth8vexKVkGHkiCV/XhJvinruxEvRFuNpYe/ATB2c4zt\nfW2Vqw/748xheuS8BuuKZZbvv/VceoX9rb+r3pWycwFwDfUeP8kLucWMTLpGBqvfiWnpXHUt\nAFHiWOYEo2dhwq6X4ZeCvX3bCUqOKQmu2DbB5+BS9HOELTBTKx0lqsUuiqqDXKC456zbpdZC\nAP9tWY12i12RJRvAwUBjVkqShF2oFUC6Sc9eEg3NR7VS2z159bjrFG+JhUV1meEEIA8nhIpL\noeW9tVWuVhW3oyrh29ZN5+2454qcsx4v/m0cs9XhnsJfysJOR0glBdX4jSFXtjl9sK0fgJ3+\n6k7FC9IYOycfjrEDIOQX8Xt3m3dshY7FrmMdO9UZA2KwOeQebtEOMlNpnVxzxv5gnc6cCchg\na/9N3t1BKUSveoV7PS2Gd1Pe+fP7XQvglK2zd/oOHBj7L3qIzoZj/mnxW+y4tlYAkkMtduVN\nw0KNTUGROEJtUkRwpz5SWjrdpE0knORkwo7RkzBXbG8iIAZFSbT2jRi7cPJEQq7YVtGrkzlB\nsXAmZR27doudutyJFCUlFoDfH9i75p11a6KmdnY1pZYCAHQzscHWfgCKzDkAqgNJq1EsW+xi\nOg1jIh/injPvgxun2ypXNwU7fsqE1JYWAvAtm+jlRaF4QLShqC9PJSM+c60GUJk2vrMTi8mk\nLb9O+phQ5Mz+X9GvAPxt4O8jc2YbQy1ZvJOq9odr3tAcJ9pnQS12TlMKAOrQFGmYXU01AEmr\n1gl0txTLXTejLnRYgpTNZwJ4/pRH9S8w25QmRqk0Ls95sK1fSBJocjcU5fr2te+DfFhoVW6w\nq2cnC0TdaiwmpK0NgORw0KiAmtl/mDfuyZvKF365I0XMygLHeZu9oCmx7tzV0AAAIABJREFU\nWhvs6iA60ziIACQQibliGT0KE3a9CbrthJX0BYudnbOlcNaGYEK7irUKHv0AOwBmYlLuFUvX\nUKNAcZQidgA8ntYvXvj5i8//JZGpJgJNgwWQY0qncfRFlhwkteKJMsZORRxhbXJjJu9Ee8Kj\nksu+qqXWuLovx9nffi1yBDk8K/IB/1nLGgsxTXOO1ZlVUkhWmq1MRcoQAOvadqja3YInIIVy\nzBkllnwzMY22D6qvWPpp+eMArt7/9dyWr6JVh6ZQYZfK2whI2GJXUASELXLRsmIJgazFIq+U\nFlLOM2cC4LhwcKT8T9WZ/pH21bBn6iuWnp42HsCmka+q5kz/INnpD+s5+cVeX1jYNYVcqgC7\nyBN5fnUdEkueIG1uyWSSrOF0q1SreO0Ul9MmfrLF8d2BVDE909viBeAItRqvdUKR0tI5SQQg\nEk5kFjtGj8Jcsb0JvxQE0DdcsQByTOkJJ0/4dFJiKRZiboVX/jEYbeeJ6K5YzmyfcNFDs87M\ni9ahqymzFdEXg23h3TkLzdQVmzRhdzjYCuDKPZ1LQY0pfbJMTgBNsT5lld9NGXSvcllWBWq3\n+apOdVbYY33unSXpMi6SsfYhBGSdZ7uqvVFwAcjm08zEVGot2OWrliAtc62BgaIkaBd2PCHp\nJkfYYpeWLqXYidcjWa2yiIlAoj5cTc7c/jsAmXx6A2IXQ88xZchXsdGzO8+UGVn7cIitGMAO\n34Gz04F2i12+OWtf4JAEKSCFvKI/K6JWOdV2tADKMwNuvwwWAMSYxU4zypNrbRUdHeRjll24\nfkrLC99kvLchNT13irN6B4BU0SNmdt4VSyQAIgjLimX0LEzY9SZ8oh9A38iKBZBtSt/k3S1K\nItfJCH2KTwqEJEGnOjHFwpkCQXUdO0tHqycRRfBR58Cb7aPO/v2McxuRvCzUTiFnSHzXupm+\noK7YmmBjsk5BLXZfDFs4MkohOk1iRqG1W+w6bBwXrRiKTliVzPjN1wH4WcYk45M0gk5tvCRG\n2mWYUgdaCzd4dgqSqMxKaQy2AKCyZrC1/w7fgZpA4+futTzheAM5O3RnMI4gi0+jZVPklSR+\nv/PR+fjzU5FHyVmxOoo2x5zRELW84xHksIpDwaa6UPPpWl7ycPigL1ylb4fvQJ4pc3TKoM9c\nqxtCLTRAIlpVlw9vnIGdq3f6DkhpExFvVqzz0fnuO+bC55UiTHEFacLVk13PfpW+CD9Dv58B\n+CTrZ5/8APyAR84z+reT6EwjkkQgSbxZMveRv70ZvRQm7HoT1GLXN+rYAcg2pYUkoUVo0y/T\nFQ1axC6mK9YEXrnzBC19Yibq5AnJFPW7IIhAjyZPRD56+4VdsUkTdofDBYqTWeMDgJO3m4kp\npsWOQm0qmpXPqLqS3zJSXa9TdGmehJIK+5B/Nq/Y4ds/LOVIZCFNIaIlkYfY+n/SglVtW9Z7\ndo63l3MgUiyTndheXTvblLbHXxNS5IBTgvfcZo7Qdlx7Vqx87UN/vJzqwucG3LE3cOiRmjez\nOPoXRYwJ0Az3huDhHz27AGiWUy6zFnGEox5Yt+A5FGw6wTlqgCUfwF7/IZrSG2mxo4TduL5q\n5FphTNiJ9/4uspF42iBJUqrGb5sBWcHIxk4hWW2S1UYgidGDOhiM7oHF2PUm/GIQQN/YeQIJ\nJ8bSInb0kaCDlbMExZBc8i0EEZGuWEmMVp0Y7cKuB8udKKHixs7Z0nlHEl2x4azYZAs7ApLB\np6qEXWTsVMyKEiq1R7NJeiMVjnIA67wdwuyonKLWTWrZerF+qSiJp6eN50hsKzEVfhxBpskp\nQcp8zJA/XbWlWJvoaxJctCzzRy0r64OHAWSZ0mHAYke/yI2Ca5N3N4BR9rLIPjZi6WfO2dW+\n5bEEaYi1f/t2eTXNukXs+plzUjjrDv8ByWQGxyHeGLv2lNh4Ur+NIDrTnt1+m8gzcx2jh2HC\nrjfhlwLoUxa7hErZGbTYmQkvQQq2509Qi50pwmKnkzwhSIQjsR9vXUQ0T1mRJSepyRNtHOFi\nLmYcZJnSDnd0xQIYO+PInrArb/6V8i0acT/JMZz++EbZPNpivGDv0Qwt+KzKn2gMutBespvW\nKVzTthUAFXaidr7pEag+I0TqVFFDVfRelb+WnnGApWC564e9gUMAMnlDwo66YhtCLRvDwk57\nA7Qh1v5NIVeT4NrhPwBgiK3/AEsBgH2BWirsqLTVmio32NpvT6AmBFGyWIwkT3APPK5qcc+Z\nR7pS2Dkfnc831AGYu32+kaACBqPrYMKuNxFOnug7MXbh50F8h9ONYh2xtAgNp5O9sSEIBCQy\neUKK/vgKBEJN+9bs2bMnvnkmHSprisw5XtFPn4iJ0yK0pvH2+IId9ck0Od2CR7n5B4CG4OHy\nc6ru+EV/W+XqyB20AGzzVdEotOXutejNSk7FyJSBJsKv83QUdkIL2jfZo25HyuiUQZobf6kQ\n22Ps6F9Kn910kapDpB+Wohx6f6AOQIk1f3rGVK/o/8L1A0e4dM4JxN71VOmKTeMd1MEaCU39\n2eE7QB2yg6392l2xNTRvOporFsAQW/+AGNwXOASLlQQNWewizcCktRWAmJp8Yae/XQqD0c0w\nYdeb8IkB9JVyJ5CT6eJNjA1b7GLVsaMaThYWATGoDrCjyRPR69h52lzvzZ84d+7c+OaZCDpB\n/TR/IllGu8Oh1nSuSywZ1AxzWDxitBMksVlw55ozUjgrAI+o3tP9YKChRWg7xVnh4GyftazR\nHLaXSr0UzjrMVrLFtzegqK1It22gf+eUb/yF3M4RLubGXwCk9hg7moPcGHIpNU00NzdBh+C9\nqmAtgBJL/rkZU2iLKIk84WHAYkejA3f7D+4P1I1KKYtWMHyQtQjATl/1dt9+AOW24lJbIQHZ\n6z9EbZaZ0etjD2oPs5OsVuOuWP/xJ9IXniuuB8B5WgFI9iTHGzAYRxt9JFrrGCHQt8qdtCfT\nxR1j5wMQu9wJZ0L70gEIQVCb60QRkqRT7oSYUsZNv2vmmcXxzTMRdIL6Hzv0FoCDwQa6/VSC\n+Zsuoa3A2rnCXQahT+umoCvPFN7GoEVsFSQxi0+zRxF22/z7AYxKKTMR/tOW73uphotGhb18\nk3dPv/UXyJ8XjbGjdi8luetmzCbfxKw3IrbH2FGbHx0tZtiiso4dgP3+OgAllvzxit2BqRc4\nZpifjVjsnG2zd68ESSermpZf3uk/sMN3wM7Ziiw5BCTfnLkvcKhFbEV0VyyA8vZqKZLZwgWD\nkKTYhkSA84VvLa6+TsgvpBa7aK7Y57fPjmx0w9B+YgzGUQWz2PUmaPIEc8VSaPJEbIsdqLCT\nY+xC5ohtJwDoJE/wFseJl/750ksvjW+eXUTYYhdoRMLmK6/o94vB+PYTiwn1rykrnsgGKjtv\nA+AV1WXJfvLuBTAsZQAtnPGn/tcfGvtBsSXPRizbRr2hX6336KfCMUTV0hhycYTL4FMjP0cO\nsS12ghxjRy12QUMmcK7jXrE0xq7Ykpe//jy5cdzes2HAFQsgx5RO85OiBdih3RX7k3ffXv+h\nIbb+1LBXai2sDTbTNKBoyRNoF4U7/PslixWSZLTiiddD/+fqDgEgnlYAosNp8PticJdYzZ7G\nj2Uwkg4Tdr2JcLkTvo8IuxwzdcV2bfKEhTMDkHcVC0ohs8pQTbNeoydPhMSerHUSjUJzFoA7\n9z8rt+g8rvSfZIeDbnRBSiyFmmGUibHU+Z5jTk8hVgCRMXZbvVUAhrcLu7kHXipYf97+QN0F\nmSfrhGH1FiraTWLyh9IYbMngUnmtAMen8k6IGWQndYyxi9znQxPVlmL7g3VmYqKFr5UsLpli\nJG2IZn4AGB1d2BWYs1L5lG/cG4NSaEh7qe1Sa4EEab1nJ4Asc9QPd5CtH0e4Hb4DktUKwKA3\nlvOFK5PTfWC5tjYQkrPzF5qdE5RiKvd3HzMzM3oXR9/zihGdcLmTvuJAz+YT2i7WYPIEjaiT\nY+yCktpiJwkhADrJE6JIjpJaJ0p+vut++iLmIyRmh8OhqPuJJU67xe6I2pBzBWiMnVdSP6S3\n+atMhB9s7V9iyZcVAIBrc8/tihl2M6duVbv8GgVXjjk92sf0l7wT9AeU69iFNbRg6As133mS\nKnmiyJxToDDXyRix2P3QFt5OY4i1f7Q+BGSwtb9PCii70cTYPf4aABnRozxtxNLfnLvTXw0L\nLWVnbLtYj0fiTVJaOld/CADcLiklXM9cc7Vlcaa5c1pM3HPm3T3mqbtHP6VzCgajG2DCrjcR\n3nmir5Q7cfJ2KzHH74oVfDDgilVlxUZa7IgYwxV7dFrsNInPaEeFXbqpmyx21BWbY06nMXZt\nglfZX4K0zVtVZi2i9Rrl3eIBjLEP7ooZdieqTyF33YyAFHILnixTmuxiVv77XcPXNx/6Rn9M\nuY5dtjkNhl2xABaVTKHSrlXwNoVcJVbtbNarAqcZHBCRhYQ6Qqv0od21ivaShBKkVD7Fohs9\nPNjarznkrrOJAGDMFcv5vLCnCDl5xOslrW7iaUuZ+qX8bjRtl4jpjia7yCMzbcfoEXrJ84oB\noD1QrM/UsQOQbU6P3xUremAgeUKVFRuUQhYuYqNYQIqePBEKCe763XV1ddE6dD/GBZyR8m/t\nrtgujbFTWOxCLQCy+LSwxa5jjN3+QF2b6BtqK+mKyRyF9Ft/Adpr/EaiioTTRK5jl8GlcoSL\ntNjxn5/Af97B7CffCTS+dH+wDkCxJVclK78r/s/VVStfsy3Xn4DxEoNyMZfBssXOGq41rZM5\nQaFacFD63wAYKWUHAF6vaE0R8/IBmPbvI6FQzCMShEBamB/DwspgdDVM2PUm+li5EwA5pvQm\nwS3FtQcrzYqNabGzdoyxC0ghEzoYFUjY4hHV0uBta3n25vLbbrstjkn2Cg53zbYTlEw+FVoW\nu2xTmp2jyRMdHtI/efcBGJ4yALoitTeiM/9osYPEyM4T7TF2HOEyuNS1bduMTyl/wwy0Z06U\nRNSfC0vG5G2R/FDNG/TFyVtvpi9KZWEXa1/BIbYjaelcMLYrlgghEgoixS7m5gPg9+6yVa5W\n9YnjjtI/JDKgo7fftIzeCBN2vQm680SfccUCyObTAmLQJXjiONbozhMds2JDkqD2+AgCAMJr\nfxdECYS3HDf1osmTJ8cxya7AeFCd5r6rkf0Ph9wA0rpG2NGI+ObQkazYRqE9eYLTSJ7Y6tsH\nYJitpO89EWVL2KoRfwUwI+OE+oql7w5egPZ400iIgZ0n2re8A7QC7CJvhsiFbbfY5anapbAt\nUO/sBu+xaO25pgxqdI9psZPzhGyVqw0lT3i9AKQUm5CTB8BZ8LfYh8SCXoLOnflo9omJn4XB\nSJA+EoZ/jNC+80Qfsti1J8bGYS4yuvOEwmInQQpKIVUdOyJSV6y2xU6QiNnmvOyuJTecEKfL\nOOloVvo4buMVhJBNI1+VW4wLo8PBLrTY0Yj4jlmx4eQJQRIRUcduq68KQDRXbILl+o4SBloL\nM0yp6z07oMgR1uzJdaw2p0nY4qz4w0RnlTR12E1550PLYkdtgUaSJ+JAnuQAS8EW394V7vX6\nnZU/Gil3wlFhZ7OLWdkSb/ItmwjAf9qZ09OXfuXe8NfSORdmnpzQBRimb9y0jF4EE3a9iXBW\nLOk7n1p7jWJXmbWos8e2CV6OcDQAX4dwVqwUBEB3jFXvPCEIQNRyJ+FaKEe9afu4lNIv3Ovq\nQ4fpPu5o138BKTRgw8Vl1qLGUAvVEJGPGWqx66IYOwtndvL2wx3r2FmJOZVPcYseAB6Vxc67\nz0JMZdaiPvwsJCBj7UO+dK1rCLVQG1v0bV6lmOVOZIdpTONZNK3/fN37iG6x0y93YvBj0vkz\nY4tvr5ERlKRzD9Qj1nl9HgBSyv+z9+ZxcpTV/v/nqa27Z18SEpJAbkgiGKJZMCpfZJGEXRSX\n73W9XBEjXhUEIlcBFcKieBUvuMDrYiC4wAW/oPcGVDBhk58IQkwAQcMimxAkM0lm6a2W5/n9\ncapqerq7qqt7prtrpp/3HzBTXd31TKe76tQ55/M5bVAUPmOm+o+dAER7B33ayQWzKopaCcv+\n4efvfXBwVP3Emj8d8dcvvDk5/3dv/kG1R5FIJk7sr1eSAqgUm6wUykwhyCt/wN5bw3NHebZN\nSVQcb+qqYoUDTxtblLETDkeweIJzBkBVYmd3UgQZw/4587ei7c/nX7WFs7LtTRfs+y/+xqKr\nbF1VsQB61c5xGTtnmDK1pT52juB/zr6wKDEvXFw5DVjetgjAtswzhfPESok0UszrsSskKJCi\nWvDBqQXH7rrqtJf/8B/7nr1rxR1vbVtoKPrsEhM7HqEUOxFmbjs5ivCifA23UkLay9glAfCZ\nbszK2zuGnDQ8TX3QSmo4nHtQBu7VB9IlI1UkksYwfXI/rcB0LMV2o1Yru1EnW7EOi/GqWC9j\nV6YUGzRSzM3Y1e3aNlnQYLE/Z194d9fKwu1/zb4E4KDU/usKrIyLIFVsnXzsAPRqnTuzgwKC\ngQmI3fYwaSO8yRNjgR35qNGj05vlqcUAtqWfpZC3dJ4YEV0Vu+TZE4u2B8VDz7/1lr/mXlrA\nVABbhredNnv1K+Ybc7T+UofkSRRPRC8NTxo56rFrA0D6CQCivWN4bxo1ZeyKKJu0UxgEmBfY\nTfQQEkltyIzdVIJKsdPK7oSmilm1tK+lea6icgJe5dqC7f+3ZFasA0AElGJttxQb94zdwal/\nAvBU9oWi7dSydlCyOFQqvKDWVRULoE/rsoQ94mQADDsZS9ikFTCYpjHV77Hzl3T7ngfqtJL4\nsKJtMYBtmWfJxzEoY1c0H6IsXGDj/oeWfej5t96SZEav3gngpJ5DKV23NfOMI/gsvRfAH0b/\n/Lq1e489EmBiVyYXOIlEFF74opN/MmbPVLtzW1aN/P2TFUvALJsBIJLJzm9fkrjvt7Sx/fof\nvn7XmzE+nVbRdi76dsYgOGw4KEkKSiQNQwZ2UwkqxU6nHrsZWg+8UQTVMsqzFb1O4IknTG4j\nMGNHqsJA8UR+dPDsE5If+1j5SUQxYVFiXpIZfy4T2L0E4CPPXxzy3L32iMqUKG9mbZDjCVnZ\nkXKCSrEAUkoiK8pYV0w/SWwRc4wZs/S+7ZlnXSlJgHiCRZgVyzlOe/kPzxz4K4p+zp71fwF8\ne7/P7Vpxxx17H8oJ8wvzPjQvuc/vR58ktcojo08D6NU6AFjC+eng3SjXYIf6l2KrJakmaHBF\nFPEEy+XgZexKqapO6keWp/QeDuDq/b8YNLBYYRDeHXhOmPSGSyQNRgZ2U4mcQz520y1jV0Mp\n1uSWya2K7sTwwrjxGbsy4gkWXIplqrb/4hULFiyodpGNRGXKm1Pzn8+/mhsfJ/01+3KnWv7a\n5gdPe63RLrWdVSr51QyZtO22KbCjyqOboEqxRMbJoQUiuVJWtC0esIeeyr7QriSTAV9qxgRQ\nIWlHPXa+vueTM07QmHr9wK9mbjv51t33MLBPzD7+3T0r99qjT2afB/DH9F8YWJ/eAYAJ5cZd\nv0E5SSy8wK5+GbuywzZC9k8yIycsRDMoZtRjlyh/ivDnnVTllUhZ51zJdOOxg0IAsL1/MFmN\nlTQFGdhNJajHLqlOp8CuG8CAVbV4grxOoiSZCnvsKG9nFDUpkngiQPjqcGakui+89qHLL7+8\n2kU2mKWpA2zhkMEvkRfWS+brByX396+aa7reBuAvb/lZ4UV0jz3cUx9JLEEWZZSx22XtRcGg\nhZSSyAZcJqd9qEfV2CEnPcMTMpdCMVV4YFcUfs01Zp7Q/U7qrfzD6FOr2g9a1Dbv6L63AXhw\n5AlbOH9K7zggMSep6AB61e437D0IyNhF8bFrJAmmW8K2DT3KSDFGPXZtARm7muqkw04aBaaY\npdC/Qt5xd8gEh4ASSf2Qgd1Ugjw7jGkkeelS2wxFH4w2trwQqqREEU9Q5ZrOxdT7UqS49MQT\noXYnLO49dijXZvdM7hVH8EJPuIWJOQCeKxjACmDITnfVTRILz6N4tzUM4F9fuBwFWoE2JZHh\nuWkfw5VlRfub6Ie+4KELFFSF1/NK82prZ469n//cdzSAo3sPAfDg6BN/zv4tzXOr2g8CBIDX\n4H5aPvfSd4NemVXs8msUKTUBIJvUmBlh8oTbY1d8iqD5E2kRmCcO+TSSKXqOBx6d8v4Wdwr3\nl0gajAzsphI5bhpMq2jwMYVgYH1q50D142IpYxdUZCxkfMbOgjdkzEfwsFmxjmAINLmLF+R4\nUhjYeZLYMeUE+QX+Lb/T35J2sia3GpaxI855+fv0Q5uazAnTTyguSOzbp3VFqcpNA5anFlH5\ne1vm2aB9KFwToVVybzTFWPj13me/4v9MAxvmJfdZmJj78OhTvxt5HMA7Ow6OkoYrtT5uLmQI\nkEtoSpTALpcVhgFVHTnv6yPnfZ02/vdn1tAPVIqlj9mry3/pP+vON30r5INHzot0g10W+vcy\nhRvYyVKspCnE5isriYAp7Ok0T4zo17oHq1fF0q1wlB67capYYQMonhVLF0a1fB50qhgUA1iS\n/CcGtmHXnf6WHblXAByYGBuyuSg5D8Bz+bGMHc1zq9M8MYJ67C74+3WluZCUknAEz3tXyiEn\nXT9xbtzo1TorTkl2A7sIPXYVw68jOpdlef7S134MYFX7QQor1tKW/uu4kycqvHDjoE7ETFKL\nVIrNZlGgnKDwbth2pxcW5tJGeQaeR/R1b2wKydhRj10+OLCjHjs/Yyet7CRNYSpcryQeOW5O\nJxM7YobWnRdWtTWLUSeDiIFdoSpWOAB0ZXwMFxq7TaFSbIeamm/MQsEV2p27WpCxo1Ls8/lX\n/S1DziiAHr2OGbt/fu7rpRtpkeRRTPoJLviQM1pxGPy0IYo3L4sS2I0vxZa+lHrPYQAO73yr\nv2Vxcl6Uzrm4ZezcUmxCheMwO7DRjWC5LC+pww55E1AKQy4K197dteLA5P6b9v4eAf8cAoIK\nBSGlWHpXLe/fS2bsJE0hNl9ZSQTywpyOGbsuVO94QuflSOIJFBgUC9vfMoZjI6QUy5mZ2XvO\nh5eeffbZVa2wKbxovl7461+zL/dqnbP1Pn/LHGNGm5J8Pveav8UbFFvHwC4EmghHVnYjPOsI\nTrNlJQRlgMIdT6J4aKv3HHZYx1sKXpadpRxVultRQOMZFMcFytjlEiqACkm7fB6OgxKvk71j\ngd1YyDXiuH0dn575npCXzPA82ZdULsV64glpZSdpCtOnDb8VyAurN0KOamrhCWOH5huzoz/L\nK8VG9bErLMUWZeyoFMsCfeyAOF3bIjJz28kvLft/r1hvrGo7qHA7A1uQ2PfZ3CuO4DRpYPWT\nZwH4wc7bL5r9yTqtJOShj/StBpDlJoC9zgiAFsnYlfXmLe3uipKxK5oPUfoifX198PJ2/rF+\niPsfezlx3uo9MzucoFf2VLFxSVdTvSKrKwBYPi/agqv22QwAniw+W5KslYEVZuwo/d+ptp33\nyjX+xtJ/DkrsIVw8wQDA8eQushQraQoysJtK5LmV0KZhKRZAtfoJuuGOMnmCXOu8Umy5jJ0r\nnghSxTKjrefaXzx5+MK4V1WKYoX5j/9fAAel9i/abWFizlPZF/5uvVFVJF0nbtl9D4CsyAPY\nY48A6NFkxm4Mr2DKENyN53bChVZfCqO6sedFDRnjgluKNRhKPIo7v32J/3PmK+uRSQMIytjN\n0LoH7CH/3oYkEd//x+3hR/cDu5CMHQXBJpfiCUkzkYHdVCIvzOk0T4ygjN3uKh1PovvYUfF6\nfMauSDwhgMAeO3uK9NgFJcZKh4ktTMwF8Hz+tfnG7KI2r0kXooaMoqcf1r+28Qf/+AVZ2bmB\nndoSGbuIbzVlgMJLsVyAVR9+fR7vPg1/qDTWor4jxaqFvNlzhgIABR7FhVEdgLYrLhKf/AzK\nZeyG7DSAOcaMXfbeDM+RrH4koMG36BvhB3Yh4gl6rywuM3aSZiJ77KYMlrAdwYvNdac+1GO3\nq0qP4uiqWB2UsaMeOwclBsXCcYBARxMuxtn6TznO//t/FW1ZmJwL4Pncq/V2j4vy+iSeIO+J\nISeNlinFRiSKQbEQNaTr/AOEGqnEzKDYVcVqQKWpYjR2AuXEEwxsjj4DBVGXH7GVUvgZpsQe\nvIlhZaHAzvYmickeO0lTkBm7KQOdTaZfxo5KsdVOFfPEE5V97NweO+HAC+/KGhQHiycAQIu9\nj11hamFH7uV3/eXzQXuWCmN9JjdpF+WlUkoCXo8dGd3V1VFvCiIQwaBYCbVNcVb/HsDu3bsL\nN/7i8Y6HxzzwAo5d55Fi1UJnv5xG4x3CAjuRSQMop4pNd6ipbq0dBXVSsjvZuOD89/T8HwAH\nP3mqgHj6LT8tem70jJ3pB3ayFCtpBlM2EdF6mLBQOg5r6tPvBnbV9dhRxi5Sjx2pYoUFb/JE\nyUgxytgF+dhRNSrupdhCiqK6oszZosQ8ANfv+lXZ5zZ4CIQb2Ik8vP6n3tYoxUbELcWGhl9c\nsBpiL8/6OPyV6f9x+fBTYJdVgUoZO7fHrmSe2JAz2q22U6bfT6f5qlj6dXn7ol323lfNXUXP\nHfWitPx48cTMbScXfGsEAMdx3zE5eULSFGRgN2XIOSY8Xdh0gkqx1Yon/nv3FkT1sdPgddeV\nzdjRZVMEVLMcDjM79IWPH3HhhRdWtcJmUXFKUo/W0a917Wfss2vFHetmfwTAT5deNPSOu5sy\n76FNSQIY12MnxRMFuBFbpYJpDYFdDQ55Tce1O9EExgd2/mAJIvOV9chmUS5jt9ce7VLaSU1f\nVIr17xKXty0GsD3zXNFzSVGLgIwdfcVKJk/IUqykCcjAbspAZxPShU0nerVOjanVlmKJKCPF\naM4EzYq13IxdObuTYPGEcOxnnt7+wgsvlN1hKnJAYs6r1kBOmHfufUhn2kkzgnuw6kyKcjAF\ngZ3M2BUSMfyqyUO4sirW1dvGJ7BTxwI7jJ8qNvq5c+kHc+XbAS/qXXiqAAAgAElEQVRjlxoX\n2JnCzgmzV+sk90S/TjoyfvjK8rZFAB4vE9iVUcUW3UcV9dhlZGAnaQayx27KQPn/oqBkGsDA\netXOqkqx/sn0gCc+XDHDZCg6A6OMncVteNNjx6gknkh09D/456GDZlUeTxkHoqTcFiXmPZr+\n6+ahR3fkXj6mZ1Wv3jmcrSWwnjhtBUUxKsXKjF0hEVWxNVRL2dhzA4lnxi6rCABF42KZ5QZb\n6j922kDZjB2NnehS26k310+nFUns3Yxdtjiw8+uqvo9dUVQ3c9vJ/6XcB8DmshQraSYyYzdl\noIzd9Js8AWCG3l1tKbYqdKa6qliUCexYBR87AFCVuLQZTQoLk3MAXP2P2wC8b8bhTVxJaY9d\nt9Iqs2KjEMmgmNcSe3lPmXqq2JwiALDx4gk/sFP+8To4RyYNxpAY16qx1x4F0K0V99hRYNep\nuOn/mVrPXGPm45nniib5+qpYSv+XhVKnNpfiCUkzkYHdlMEN7KZdjx2Afq07y/MRyxald8kV\nn2IoulmQsSOdrI9wY7egyRMMgDa9vihkZfd45jmVKe/pa1odFmOqWDew61BTRf86LU+kgmn4\nPLGysCi5QNozNuIJuq3NqQ5QPFJMWG4WjdmWsntQZNIikSwqUQ95dw5uYFdQilWY0q6ORYHL\n2xbttodfMd8ofDpVbDWm5ngeAWeetfa7AXDvHZM9dpKmML2uV9MaKsVOz8BO7UL1jifRMZhO\nbTGUsdOKPvaUsQvIS9gOMNVUsRU57YVv0g+O4DP1niauhK6mFNPvsUek10kRUUqxTk09dlFU\nsSJmGTv3NgAOAJYfFzNRxk4YBgD2j9dYLitK54nxDIBuraNUPNGuJFlB8rKsfoICuz61KyRj\nR5BBscoU6WMnaQoysJsy5ISJ6ehjB2CGHnWqWEXJZ1l0ptnCAWBxByUZOxJPBPbYYWobFMcc\nMiimpqU99rBUThThlmJDC6aith67KLKM2E2e0AHkYENVUdxjZwJw5uwHQH19p8hmS71OvNEm\nHa54wmuAG+GZIhnWsrZFALZnni3cSKrYfq2Liie+irxP7QLwzFtu3rXijhuNewE4QgDoVjpk\nKVbSFOT1aspABsXTz8cO1VjZ+SfTHq1jUXJuRIcOg2n07lHejnSyYzg2QgyKHVi5kS9/8bS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mTZseeeSRiIeTVIXfYyczdqVUVMXWnFSr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\nxROe3Uk6nV63bt0xxxwjAztJMxAhEksuoNXcYxchYxdPjyX6+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MJGswM7v8dOAXyPdImkGVTRYzc8PLx8+fJvfOMbAO66664LLrjg4IMP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iB8AQFoslLS1Ne5ybm/vhhx/+4he/WL16dWlp\naY8ePbZs2TJ06FBzIwSA5oe9YgEAAJoJ5tgBAAA0EyR2AAAAzQSJHQAAQDNBYgcAANBMkNgB\nAAA0EyR2AAAAzQSJHQAAQDNBYgcAANBMkNgBAAA0EyR2AAAAzQSJHQAAQDNBYgcAANBMkNgB\nAAA0E/8fMwlikGI4SIQAAAAASUVORK5CYII=", + "text/plain": [ + "plot without title" + ] + }, + "metadata": { + "image/png": { + "height": 420, + "width": 420 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "ggplot(mempoolHourly[`Tx first seen` == TRUE], aes(x=`Time`, y=`Tx fraction`, color=`Region`, shape=`Region`)) +\n", + " geom_line() +\n", + " geom_point() +\n", + " geom_vline(xintercept=bauTime, color=\"black\", linetype=\"dotted\") +\n", + " ylab(\"Fraction of txs reaching mempool before beeing seen in block\") +\n", + " ggtitle(\n", + " \"Transactions reaching memory pool\"\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "193043df-8d5f-4173-8c8f-5e68b772b9e7", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "ggsave(\"mempool-hourly.png\", units=\"in\", dpi=150, width=8, height=6)" + ] + }, + { + "cell_type": "markdown", + "id": "754361b0-7755-4e09-bf9d-c467563427f6", + "metadata": {}, + "source": [ + "## Mempool history" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "f88ff577-53d4-4c50-ab1b-727f63c310a1", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + " Region Slot Tx seen first Tx count \n", + " ap-northeast-1:19710 Min. :172020832 Mode :logical Min. : 1.000 \n", + " eu-central-1 :25266 1st Qu.:172257848 FALSE:10241 1st Qu.: 2.000 \n", + " us-east-2 :18666 Median :172376257 TRUE :53401 Median : 5.000 \n", + " Mean :172367517 Mean : 7.425 \n", + " 3rd Qu.:172492659 3rd Qu.: 10.000 \n", + " Max. :172602993 Max. :122.000 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "mempoolHistory <- fread(\"mempool-history.tsv.gz\", stringsAsFactors=TRUE)\n", + "colnames(mempoolHistory) <- c(\"Region\", \"Slot\", \"Tx seen first\", \"Tx count\")\n", + "mempoolHistory %>% summary" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "fbba641c-5543-4b86-b508-9cd53dac8b0f", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "mempoolHistory[, `Tx fraction` := as.numeric(`Tx count`) / sum(`Tx count`), by =.(`Region`, `Slot`)]" + ] + }, + { + "cell_type": "markdown", + "id": "d1741c4f-0473-48f5-bd9c-0da7ecb8ac09", + "metadata": { + "tags": [] + }, + "source": [ + "### Histogram of slot-by-slot fraction of transactions preceding the block (nonlinear scale)" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "7e49617b-ca60-465f-8c95-7473d5b5bee9", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": 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T1PBynFug11Ngrlfbph3JR/syRno/i6UGmtTy3AfELzBwTPY36xAwOC5zHsQFI6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\nIAESD5CIARIg8QCJGCA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mpX+FW6d7MQ\nJJPPwG4BEkICAiSEBARICAkIkBASECAhJCBAQkhAgISQgAAJIQEBEkICAiSEBPT/KcfCk0Eu\nqUwAAAAASUVORK5CYII=", + "text/plain": [ + "plot without title" + ] + }, + "metadata": { + "image/png": { + "height": 420, + "width": 420 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "ggplot(mempoolHistory[`Slot` >= bauSlot & `Tx seen first` == TRUE], aes(x=`Tx fraction`)) +\n", + " geom_histogram(bins=50) +\n", + " scale_y_sqrt() +\n", + " facet_grid(`Region` ~ ., scales=\"free_y\") +\n", + " xlab(\"Fraction of txs reaching mempool before beeing seen in block\") +\n", + " ylab(\"Number of blocks\\nnonlinear scale\") +\n", + " ggtitle(\n", + " \"Transactions reaching memory pool\"\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "1816116c-759d-419a-923d-95ed626e6841", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "ggsave(\"mempool-history.png\", units=\"in\", dpi=150, width=8, height=6)" + ] + }, + { + "cell_type": "markdown", + "id": "1ec5a130-f566-4a7d-8d5e-3cb91c6bf289", + "metadata": { + "tags": [] + }, + "source": [ + "### Histogram of slot-by-slot fraction of transactions preceding the block (linear scale)" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "5c1a6623-b3ff-46ed-987f-d23c664e5537", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": 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9Lm03su+WjnihtbvWunUZ1Tql8Gltydu9jvvCWkcISEKjUhybWXC71vrrB9MHDo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\nEBIoQkJFSCpCgg1JSISEjJBQERIhYSMkVISkloGQQBESKkJSERJ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+ "text/plain": [ + "plot without title" + ] + }, + "metadata": { + "image/png": { + "height": 420, + "width": 420 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "ggplot(mempoolHistory[`Slot` >= bauSlot & `Tx seen first` == TRUE], aes(x=`Tx fraction`)) +\n", + " geom_histogram(bins=50) +\n", + " facet_grid(`Region` ~ ., scales=\"free_y\") +\n", + " xlab(\"Fraction of txs reaching mempool before beeing seen in block\") +\n", + " ylab(\"Number of blocks\") +\n", + " ggtitle(\n", + " \"Transactions reaching memory pool\"\n", + " )" + ] + }, + { + "cell_type": "markdown", + "id": "456a94cf-749f-4efe-9efc-3fb4990ae156", + "metadata": {}, + "source": [ + "## Mempool vs blocks" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "dd01fd49-9efc-4c64-9df8-17b4c08d7198", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "text/plain": [ + " Region Slot \n", + " ap-northeast-1:141172 Min. :172020832 \n", + " eu-central-1 :191057 1st Qu.:172239440 \n", + " us-east-2 :140292 Median :172372853 \n", + " Mean :172359242 \n", + " 3rd Qu.:172484977 \n", + " Max. :172602993 \n", + " \n", + " Block hash \n", + " 4b9b817fb2ebd0959b7d31decc8225f6c4de874c2359706c327753c3961f4cc9: 237 \n", + " b7dd177e8bf0ad0a52d41b1747bfde10b329ff4167bb408a5d7fef2735248e03: 234 \n", + " 90ab0197e16e39cf5af31bd1d193151f3582a2bee468ea953987e4b1c59de280: 224 \n", + " b04ba46586aef364000ee0e42fa5fba6cdfae2294950e1ffb6c7fa2059fb7460: 222 \n", + " 9df8b4b6540b29d644074144490c0abb76d49ca62e11f9d4822ed1e0b6f8c0b2: 216 \n", + " 007e315be01f4cfb74e3c1c95f664aca16bf461be4cae4fe6e78e783896ea0b1: 201 \n", + " (Other) :471187 \n", + " Tx hash \n", + " 10e72a2c12f5a3523adeb2e89fc6f8dab8bead71288681ab97567b3b3dee5265: 6 \n", + " 10e72a2cf4d08e5807d20ec451a8bbbf38a8fb2bf77815dc8e7d4d9268bc71f2: 6 \n", + " 3fb850f519b8a93d02f13255e496b5d9ea60424db4e0c584bb6cff9590ab28c3: 6 \n", + " 46fd56fc3ac733158de645bc9f915dcde50f07af93fa094319a3afe55be75065: 6 \n", + " 5d9b98e1e74b2b2e691267a52812c58f968dd1f7ee01f6005000d85c5ade33a3: 6 \n", + " 7e3b26d6ed443c4f1c970afacf79540731d0b2abbfe483fd78740d108758b23f: 6 \n", + " (Other) :472485 \n", + " Tx hash8 Slot time \n", + " 10e72a2c: 12 Min. :2025-11-19 21:18:43.00 \n", + " 91aec246: 12 1st Qu.:2025-11-22 10:02:11.00 \n", + " 450eafed: 10 Median :2025-11-23 23:05:44.00 \n", + " 3fb850f5: 6 Mean :2025-11-23 19:18:53.39 \n", + " 46fd56fc: 6 3rd Qu.:2025-11-25 06:14:28.00 \n", + " 5d9b98e1: 6 Max. :2025-11-26 15:01:24.00 \n", + " (Other) :472469 \n", + " Block logged Tx logged \n", + " Min. :2025-11-19 21:20:07.99 Min. :2025-11-19 22:24:02.38 \n", + " 1st Qu.:2025-11-22 10:02:11.36 1st Qu.:2025-11-22 17:05:34.52 \n", + " Median :2025-11-23 23:05:44.43 Median :2025-11-24 03:20:41.94 \n", + " Mean :2025-11-23 19:23:02.65 Mean :2025-11-23 23:45:03.84 \n", + " 3rd Qu.:2025-11-25 06:14:28.27 3rd Qu.:2025-11-25 08:03:25.54 \n", + " Max. :2025-11-26 15:01:24.69 Max. :2025-11-26 15:01:24.00 \n", + " NA's :65160 \n", + " Mempool - slot time [s] Block - slot time [s] Tx seen first \n", + " Min. :-412281.3 Min. : 0.02 Mode :logical \n", + " 1st Qu.: -29.1 1st Qu.: 0.25 FALSE:65441 \n", + " Median : -14.4 Median : 0.43 TRUE :407080 \n", + " Mean : -20.5 Mean : 249.26 \n", + " 3rd Qu.: -5.8 3rd Qu.: 0.68 \n", + " Max. : 412219.3 Max. :86852.64 \n", + " NA's :65160 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "mempoolBlocks <- fread(\"mempool-vs-blocks.tsv.gz\", stringsAsFactors=TRUE)\n", + "colnames(mempoolBlocks) <- c(\"Region\", \"Slot\", \"Block hash\", \"Tx hash\", \"Tx hash8\", \"Slot time\", \"Block logged\", \"Tx logged\", \"Mempool - slot time [s]\", \"Block - slot time [s]\", \"Tx seen first\")\n", + "mempoolBlocks %>% summary" + ] + }, + { + "cell_type": "markdown", + "id": "bf971cf5-ad30-457a-837d-370bb7bd593d", + "metadata": {}, + "source": [ + "### Histogram of transaction arrival time relative to slot" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "cce62097-8957-4fca-a461-f90bb9d5494d", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": 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xoomcRea0AyygSSyQvgzjGAJCR2uKQ1pMCyKcWLXfsbsm6/sMjZxA6XtIZUNmlr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\nGyBxAyQNpOErAKndAIm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R98pF+Hv4QH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", + "text/plain": [ + "plot without title" + ] + }, + "metadata": { + "image/png": { + "height": 420, + "width": 420 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "ggplot(mempoolBlocks[`Slot` >= bauSlot & `Tx seen first` == TRUE & `Mempool - slot time [s]` > -100], aes(x=`Mempool - slot time [s]`)) +\n", + " geom_histogram(bins=50) +\n", + " facet_grid(`Region` ~ ., scales=\"free_y\") +\n", + " xlab(\"Arrival time at memory pool relative to the block's slot time [s]\") +\n", + " ylab(\"Number of transactions\") +\n", + " ggtitle(\n", + " \"Arrival of transactions reaching memory pool\"\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "5cd2d28e-35de-4ca3-b9a1-c270f11258b8", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "ggsave(\"transaction-arrival.png\", units=\"in\", dpi=150, width=8, height=6)" + ] + }, + { + "cell_type": "markdown", + "id": "c5704189-1ac9-43e4-80e3-cfee3b5186a0", + "metadata": {}, + "source": [ + "### Histogram of block arrival time relative to slot" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "63ae2f74-e144-4c6d-8f71-c2e6ab45f2d4", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": 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veTEad2joRTO9E8OrWb0u9p9SIme84sByQ/B0iieQTprO8npw+dDUh+DpBE8+pv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\nzbjnwxx2xOFTu7RLRyJ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+ "text/plain": [ + "plot without title" + ] + }, + "metadata": { + "image/png": { + "height": 420, + "width": 420 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "ggplot(mempoolBlocks[`Slot` >= bauSlot & `Tx seen first` == TRUE], aes(x=`Block - slot time [s]`)) +\n", + " geom_histogram(bins=50) +\n", + " facet_grid(`Region` ~ ., scales=\"free_y\") +\n", + " scale_x_sqrt() +\n", + " xlab(\"Local arrival time of block relative to its slot time [s]\\nnonlinear scale\") +\n", + " ylab(\"Number of blocks\") +\n", + " ggtitle(\n", + " \"Arrival of blocks locally\"\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "24b38e6e-4aa5-4754-b911-18321c915a6a", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "ggsave(\"block-arrival.png\", units=\"in\", dpi=150, width=8, height=6)" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "r-minimal kernel", + "language": "r", + "name": "r-minimal" + }, + "language_info": { + "codemirror_mode": "r", + "file_extension": ".r", + "mimetype": "text/x-r-source", + "name": "R", + "pygments_lexer": "r", + "version": "4.2.2" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/post-cip/mempool-measurements/ReadMe.md b/post-cip/mempool-measurements/ReadMe.md new file mode 100644 index 000000000..aceabf082 --- /dev/null +++ b/post-cip/mempool-measurements/ReadMe.md @@ -0,0 +1,12 @@ +# Empirical, anecdotal analysis of mainnet memory pool + +This experiment collects data on the memory pool and blocks from instrumented nodes in three AWS regions. + + +## Artifacts + +- [template.tar.gz](template.tar.gz): Configuration files for setting up the nodes. +- [fetch-logs.sh](fetch-logs.sh): Shell script for retrieving logs from the remote nodes. +- [process-log.sh](process-log.sh): Shell script for processing the raw logs into `.tsv` files. +- [process-log.sql](process-log.sql): SQL script for processing the raw logs into `.tsv` files. +- [analysis.ipynb](analysis.ipynb): Jupyter R notebook for analyzing and plotting the results. diff --git a/post-cip/mempool-measurements/analysis.ipynb b/post-cip/mempool-measurements/analysis.ipynb deleted file mode 100644 index a2229d3f9..000000000 --- a/post-cip/mempool-measurements/analysis.ipynb +++ /dev/null @@ -1,496 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "70236d50-3d6b-4d54-ac80-558dd69c56b1", - "metadata": {}, - "source": [ - "# Empirical, anecdotal analysis of `mainnnet` mempool consistency\n", - "\n", - "**PRELIMINARY, PARTIAL DRAFT: WORK IN PROGRESS**" - ] - }, - { - "cell_type": "markdown", - "id": "dc73dcc3-ebf6-40c0-a5db-7bc9e4216e86", - "metadata": {}, - "source": [ - "## Set up" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "e5efe5ed-1be1-4061-aa54-363a3db86505", - "metadata": { - "tags": [] - }, - "outputs": [], - "source": [ - "suppressMessages({\n", - " require(RColorBrewer, quietly=TRUE)\n", - " require(data.table, quietly=TRUE)\n", - " require(ggplot2, quietly=TRUE)\n", - " require(magrittr, quietly=TRUE)\n", - "})" - ] - }, - { - "cell_type": "markdown", - "id": "f74160e9-e9f7-4b7b-804f-69379da765b3", - "metadata": {}, - "source": [ - "## Hourly summary" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "e29395ae-6b3c-4b0b-b1a8-035b668c327f", - "metadata": { - "tags": [] - }, - "outputs": [ - { - "data": { - "text/plain": [ - " Region Time Tx first seen \n", - " ap-northeast-1: 38 Min. :2025-11-19 21:00:00.00 Mode :logical \n", - " eu-central-1 :114 1st Qu.:2025-11-20 21:00:00.00 FALSE:100 \n", - " us-east-2 : 37 Median :2025-11-21 19:00:00.00 TRUE :89 \n", - " Mean :2025-11-21 12:46:59.04 \n", - " 3rd Qu.:2025-11-22 04:00:00.00 \n", - " Max. :2025-11-22 12:00:00.00 \n", - " Tx count Tx fraction \n", - " Min. : 1.0 Min. :0.000817 \n", - " 1st Qu.: 10.0 1st Qu.:0.009252 \n", - " Median : 752.0 Median :0.851031 \n", - " Mean : 659.4 Mean :0.544973 \n", - " 3rd Qu.:1114.0 3rd Qu.:0.993363 \n", - " Max. :5138.0 Max. :1.000000 " - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "mempoolHourly <- fread(\"mempool-hourly.tsv.gz\", stringsAsFactors=TRUE)\n", - "colnames(mempoolHourly) <- c(\"Region\", \"Time\", \"Tx first seen\", \"Tx count\", \"Tx fraction\")\n", - "mempoolHourly %>% summary" - ] - }, - { - "cell_type": "markdown", - "id": "a3894bee-b848-41a3-a8c4-6d68ccef197d", - "metadata": {}, - "source": [ - "### Hourly fraction of transactions preceding the block" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "4b9bf417-0122-4153-a2de-c9bb20fd9f21", - "metadata": { - "tags": [] - }, - "outputs": [ - { - "data": { - "image/png": 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ZO7RJ3ug+72j/1VN5xoerbBpsO7uc7hUR0R3VC58ZeIzxMgnhK08gRAbGoCNiJq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\nzq20buIO4AzMnABgqRYurvWH1k2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BMT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\nAABJRU5ErkJggg==", - "text/plain": [ - "plot without title" - ] - }, - "metadata": { - "image/png": { - "height": 420, - "width": 420 - } - }, - "output_type": "display_data" - } - ], - "source": [ - "ggplot(mempoolHourly[`Tx first seen` == TRUE], aes(x=`Time`, y=`Tx fraction`, color=`Region`, shape=`Region`)) +\n", - " geom_line() +\n", - " geom_point() +\n", - " ylab(\"Fraction of txs reaching mempool before beeing seen in block\") +\n", - " ggtitle(\n", - " \"Transactions reaching memory pool\"\n", - " )" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "193043df-8d5f-4173-8c8f-5e68b772b9e7", - "metadata": { - "tags": [] - }, - "outputs": [], - "source": [ - "ggsave(\"mempool-hourly.png\", units=\"in\", dpi=150, width=8, height=6)" - ] - }, - { - "cell_type": "markdown", - "id": "754361b0-7755-4e09-bf9d-c467563427f6", - "metadata": {}, - "source": [ - "## Mempool history" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "f88ff577-53d4-4c50-ab1b-727f63c310a1", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - " Region Slot Tx seen first Tx count \n", - " ap-northeast-1:2969 Min. :172020938 Mode :logical Min. : 1.000 \n", - " eu-central-1 :8655 1st Qu.:172098493 FALSE:4561 1st Qu.: 2.000 \n", - " us-east-2 :2877 Median :172187973 TRUE :9940 Median : 6.000 \n", - " Mean :172160315 Mean : 8.595 \n", - " 3rd Qu.:172219882 3rd Qu.: 11.000 \n", - " Max. :172247367 Max. :122.000 " - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "mempoolHistory <- fread(\"mempool-history.tsv.gz\", stringsAsFactors=TRUE)\n", - "colnames(mempoolHistory) <- c(\"Region\", \"Slot\", \"Tx seen first\", \"Tx count\")\n", - "mempoolHistory %>% summary" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "fbba641c-5543-4b86-b508-9cd53dac8b0f", - "metadata": { - "tags": [] - }, - "outputs": [], - "source": [ - "mempoolHistory[, `Tx fraction` := as.numeric(`Tx count`) / sum(`Tx count`), by =.(`Region`, `Slot`)]" - ] - }, - { - "cell_type": "markdown", - "id": "d1741c4f-0473-48f5-bd9c-0da7ecb8ac09", - "metadata": { - "tags": [] - }, - "source": [ - "### Histogram of slot-by-slot fraction of transactions preceding the block (nonlinear scale)" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "id": "7e49617b-ca60-465f-8c95-7473d5b5bee9", - "metadata": { - "tags": [] - }, - "outputs": [ - { - "data": { - "image/png": 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87lvP/1nD92KhWSr3hi4WJPZAlIogCJXGZD6noLP9JyFue3ZxMgiZK984BEDpBM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\n+To1aX9p5+bcl7dL+3c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- "text/plain": [ - "plot without title" - ] - }, - "metadata": { - "image/png": { - "height": 420, - "width": 420 - } - }, - "output_type": "display_data" - } - ], - "source": [ - "ggplot(mempoolHistory[`Slot` >= mempoolHistory[, max(`Slot`)] - 4 * 3600 & `Tx seen first` == TRUE], aes(x=`Tx fraction`)) +\n", - " geom_histogram(bins=50) +\n", - " scale_y_sqrt() +\n", - " facet_grid(`Region` ~ ., scales=\"free_y\") +\n", - " xlab(\"Fraction of txs reaching mempool before beeing seen in block\") +\n", - " ylab(\"Number of blocks\\nnonlinear scale\") +\n", - " ggtitle(\n", - " \"Transactions reaching memory pool\"\n", - " )" - ] - }, - { - "cell_type": "markdown", - "id": "1ec5a130-f566-4a7d-8d5e-3cb91c6bf289", - "metadata": { - "tags": [] - }, - "source": [ - "### Histogram of slot-by-slot fraction of transactions preceding the block" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "id": "5c1a6623-b3ff-46ed-987f-d23c664e5537", - "metadata": { - "tags": [] - }, - "outputs": [ - { - "data": { - "image/png": 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kiAJAiQqAESIAkCJGqABEiCAIkaIAGS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\n3WvXab9UL85q/i6vfOS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- "text/plain": [ - "plot without title" - ] - }, - "metadata": { - "image/png": { - "height": 420, - "width": 420 - } - }, - "output_type": "display_data" - } - ], - "source": [ - "ggplot(mempoolHistory[`Slot` >= mempoolHistory[, max(`Slot`)] - 4 * 3600 & `Tx seen first` == TRUE], aes(x=`Tx fraction`)) +\n", - " geom_histogram(bins=50) +\n", - " facet_grid(`Region` ~ ., scales=\"free_y\") +\n", - " xlab(\"Fraction of txs reaching mempool before beeing seen in block\") +\n", - " ylab(\"Number of blocks\") +\n", - " ggtitle(\n", - " \"Transactions reaching memory pool\"\n", - " )" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "id": "4aa38be3-2129-4b52-83cb-e4adbeb31790", - "metadata": { - "tags": [] - }, - "outputs": [], - "source": [ - "ggsave(\"mempool-history.png\", units=\"in\", dpi=150, width=8, height=6)" - ] - }, - { - "cell_type": "markdown", - "id": "456a94cf-749f-4efe-9efc-3fb4990ae156", - "metadata": {}, - "source": [ - "## Mempool vs blocks" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "id": "dd01fd49-9efc-4c64-9df8-17b4c08d7198", - "metadata": { - "tags": [] - }, - "outputs": [ - { - "data": { - "text/plain": [ - " Region Slot \n", - " ap-northeast-1:25228 Min. :172020938 \n", - " eu-central-1 :75056 1st Qu.:172102662 \n", - " us-east-2 :24350 Median :172176450 \n", - " Mean :172156325 \n", - " 3rd Qu.:172207922 \n", - " Max. :172247367 \n", - " \n", - " Block hash \n", - " 4b9b817fb2ebd0959b7d31decc8225f6c4de874c2359706c327753c3961f4cc9: 237 \n", - " 90ab0197e16e39cf5af31bd1d193151f3582a2bee468ea953987e4b1c59de280: 224 \n", - " b04ba46586aef364000ee0e42fa5fba6cdfae2294950e1ffb6c7fa2059fb7460: 222 \n", - " ad8c59a6ae59ad5c49071cd49a8a21944555cbdbc695d9c47c4081bbb78fe78a: 183 \n", - " fb40a3b7b7345173b8fcaa6799c653ee6c4db821407b57598cfb3cc076b59686: 177 \n", - " 10fe42ba07c542e7152d958496d767e8244556bee5725324b0aec852ff325b7f: 168 \n", - " (Other) :123423 \n", - " Tx hash \n", - " 931999ccf7e090877fed2173ba2638a176280f8599b50d2da91956f5c3e2ca18: 6 \n", - " b8ff001d8f67179778bb44ab38069588c183e06171e33d623b2ee6dbbad2acd4: 5 \n", - " 19f183dc8ac8dd034beedc12ab076be5d64ad6284c3d3035c0d4c7926cd98dfa: 4 \n", - " 210ec918d14fc690126d42e08622390942565cd12bdcdfebfe81db318e6671aa: 4 \n", - " 79abacd375d6cc531cd5bbfa780a9c539444e4c1df83bb05beeb9494dcead175: 4 \n", - " 7d3750a154e932aceae7f04b3bc3abf50c448c2b26563feb2052751e765fc690: 4 \n", - " (Other) :124607 \n", - " Tx hash8 Slot time \n", - " 931999cc: 6 Min. :2025-11-19 21:20:29.00 \n", - " b8ff001d: 5 1st Qu.:2025-11-20 20:02:33.00 \n", - " 19f183dc: 4 Median :2025-11-21 16:32:21.00 \n", - " 210ec918: 4 Mean :2025-11-21 10:56:56.13 \n", - " 79abacd3: 4 3rd Qu.:2025-11-22 01:16:53.00 \n", - " 7d3750a1: 4 Max. :2025-11-22 12:14:18.00 \n", - " (Other) :124607 \n", - " Block logged Tx logged \n", - " Min. :2025-11-19 21:20:29.35 Min. :2025-11-19 22:27:58.97 \n", - " 1st Qu.:2025-11-20 20:02:33.34 1st Qu.:2025-11-20 23:46:37.30 \n", - " Median :2025-11-21 16:32:56.47 Median :2025-11-21 19:35:58.50 \n", - " Mean :2025-11-21 11:12:39.14 Mean :2025-11-21 15:01:03.67 \n", - " 3rd Qu.:2025-11-22 01:16:53.73 3rd Qu.:2025-11-22 04:58:11.92 \n", - " Max. :2025-11-22 12:14:18.41 Max. :2025-11-22 12:14:12.20 \n", - " NA's :41092 \n", - " Mempool - slot time [s] Block - slot time [s] Tx seen first \n", - " Min. :-28201.42 Min. : 0.03 Mode :logical \n", - " 1st Qu.: -30.87 1st Qu.: 0.23 FALSE:41106 \n", - " Median : -15.00 Median : 0.43 TRUE :83528 \n", - " Mean : -23.97 Mean : 943.01 \n", - " 3rd Qu.: -6.13 3rd Qu.: 0.79 \n", - " Max. : 28174.26 Max. :86852.64 \n", - " NA's :41092 " - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "mempoolBlocks <- fread(\"mempool-vs-blocks.tsv.gz\", stringsAsFactors=TRUE)\n", - "colnames(mempoolBlocks) <- c(\"Region\", \"Slot\", \"Block hash\", \"Tx hash\", \"Tx hash8\", \"Slot time\", \"Block logged\", \"Tx logged\", \"Mempool - slot time [s]\", \"Block - slot time [s]\", \"Tx seen first\")\n", - "mempoolBlocks %>% summary" - ] - }, - { - "cell_type": "markdown", - "id": "bf971cf5-ad30-457a-837d-370bb7bd593d", - "metadata": {}, - "source": [ - "### Histogram of transaction arrival time relative to slot" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "id": "cce62097-8957-4fca-a461-f90bb9d5494d", - "metadata": { - "tags": [] - }, - "outputs": [ - { - "data": { - "image/png": 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RCDZD9UOp9z3TKBR0UqpPKpm6tLFmcfpGSPjgYptUfRfib3n1lZVkoPfTyZkPwT\nNxBVFdQDkiVeSE4X7sZzKatL6aGPJxNSbV4TUTi/OmOQUtlLnUHqZHluP4ouLA9xx/XsMicT\n0qbx6mXRWuViVm5u7uikMzjd3tTmQognvid7SCKkjRPUy6IK5aJs8uTJN4dFayXhRTgYRP4Q\nUYrIHyQN+ypCUfmDtKZjX4k/6EGph3Z+okh+lfa1wA/OeF34NRJXXfhv7bji/TDmlArUyx+D\nxB90mYd2zYWVRNsL6gDJEiBxBEhEy0t37pqxpP1L4ZUFJI4AyXldHVKkfFrxsuz4hSxXgMQR\nIHVIeGUBiSNAch4guR8gOQ+Q9ADJEiA5D5D0AMkSIDkPkPQAyRIgOQ+Q9NIJqU60QLReeBnJ\n2h+SPkRdU/SA/EHC8odoiPrlDxJokD9GVPxBb/6s0/7pJiSEECAh5EKAhJALARJCLgRICLkQ\nICHkQoCEkAsBEkIuBEgIuRD+RMi98CdCHOFPhADJLkDiCJAAyS5A4giQAMkuQOIIkADJLkDi\nCJAAyS5A4giQAMkuQOIIkADJLkDiCJAAyS5A4giQAMkuQOIIkADJLkDiCJAAyS5A4sh1SKYP\nQYp/C5DcD5CcB0h6gGQJkJwHSHqAZAmQnAdIeoBkCZCcB0h6rkJ6Nk+pgCiyYnpxWUifApI5\nQOIoGyE9PLe6unorUfnUzdUli/UpIJkDJI6yEdKvXolN/BM3EFUV1GtTQLIESBxlI6SieVMn\nzd1DtXlNROH8am2q3PJlTU2Nb79oQWoQXkayGiLSh9jvp2b5g0TlD3GAAvIHCR5weYEmSPFv\nUVh4qU0uQmrIm//RtplTmzeNj6laq02Vi1m5ubmjHVBESHYmSK4tNeQipMi+VqKma9ZvnKB+\nVVShTZWLiqVLlz7qFy1CLcLLSFZLVPoQ/hAF5Q/SKn+IAIXlDxIJuLxAE6T4t0j8QW9x89Au\n1i3P1eb5FVX5VdpUu0X4OBSvkTjCaySbuv5rpM23NhK1THyvubCSaHtBnTYFJEuAxFEWQvIX\nz3n/4zm3Rmh56c5dM5ZQ+xSQzAESR1kIiXbfe92UxfuVw7nyacXLQvoUkMwBEkfZCClJwisL\nSBwBkk2ABEg8AZJNXQ9S5NWXGwAphQCJo+4NqalkMNHVjJ3yD0DiD5A46t6QfsFG0SZW8srR\nNwISf4DEUfeGdNKPiGYeUk8/OQWQ+AMkjro3pEPnE11+KdGDhwISf4DEUfeGdOo1tK/3HKIp\ngwCJP0DiqHtDuqvXbef3/Lh5cZ/rAYk/QOKoe0Nq/K8ePebTDnbyJ4DEHyBx1L0hETU0EtWv\nbeJwBEhagMRRd4eUQsIrC0gcAZJNXQpSw09OOCbWYEDiD5A46t6QSnqOnV6idhMg8QdIHHVv\nSAOWcwACJEuAxJEbkCbZFr89c5CO250CpLBoreKLcDCI/CGiFJE/SBr2VYSi8gdpdWFf2UOK\n307iD3owNUjXPp8CpDrRglQvvIxk1YelD1HXTE3yB4nKH6KRAvIHCTaKL8MeUvx2En/QUzwd\nV+05b/FDEv7xiUM7jnBop9d1D+0KLmRHDxuuBkj8ARJH3RvS2PYAiT9A4qh7Q0op4ZUFJI4A\nSa8rQ2r9fO2aXVFASiVA4qibQ3rzbKZ01puAlEKAxFH3hrSl98B5L7y04Pje1YDEHyBx1L0h\njT1xnzr59qRxgMQfIHHUvSENmBmfzj4OkPgDJI66N6RjNUgDAIk/QOIoNUj2dLoWpCvjh3Z1\nJ+P3SCkESBx1b0ibew/8zUsv3T+o12ZA4g+QOOrekKhiSOzt7zc4HAGSFiBx1M0hUXRXxZqd\n+IVsSgESR90dUgoJrywgcQRIXR4SO46Gt2fB8lF+I1FkxfTispA+BSRzgMRRN4Z03Nm2f/3d\nPD1PgVQ+dXN1yWJ9CkjmAImjbgypkx66Q4Hkn7iBqKqgXpsCkiVA4qh7Q5pcG5++8zPTt9fd\n9KECqTaviSicX61NlRu+rKmp8e0XLUgNwstIVkNE+hD7/dQsf5Co/CEOUED+IMEDqczlFFL8\n3hQWXs1U/qv5vn372Mv71L65p4/R0b+LPvlUgbRpvPpF0VptqlzMys3NHe3oZxpCLuQUkmsD\nhlKAxAyNMiwreudqUiFtnKB+VVShTZWLiqVLlz7qFy1CLcLLSFZLVPoQ/hAF5Q/SKn+IAIXl\nDxIJpDKXU0jxe5P4g96SAqRFixaxmxfFKt9vgPRi6T/2bMzbUVeb5yeK5FdpU+124eNQvEbi\nCK+RnBS/d+ZeI13xQYKfbv2KjhcAACAASURBVMvyYj3cXFhJtL2gTpsCkiVA4qh7Q6KGFcpL\nn1X3f2vFpB7a0fLSnbtmLNGngGQOkDjq3pA+P4U9SPRbdrz1jKsxSJHyacXLQvoUkMwBEkfd\nG9L1/R5TgXwwoCjBIZ5dwisLSBwBkhcgHfeL+HT28YDEHyBx1L0hHTU3Pv3NUYDEHyBx1L0h\njT7Hr04C540EJP4AiaPuDWlDr3NXvLtl5QU9eM6lL7yygMQRIHkBEr18qvp3Dd9dyeEIkLQA\niaNuDolClU89/nc/jyNA0gIkjro7pHiPlwASf4DEUTeH9MxPJysVHXs5IPEHSBx1b0jlrF8f\nNuhYdvy7gMQfIHHUvSGde05gb7+3qWIAz4cyC68sIHEESF6AdMSdRJc/SHQz/kQohQCJo+4N\nqd8DRNN/QvT4iYDEHyBx1L0hXXDht7To1Fa690hA4g+QOOrekJ5ifetqexXP/c4YQOIPkDjy\nIqS/Prb0ZWeQ6Pnx+2jpIWzQdg5IYdFaxRfhYBD5Q0QpIn+QNOyrCEXlD9Ka0r5yCil+bxJ/\n0IM6mm3X5wzOGXTVVkeQYjV9GORwRHWiBaleeBnJqg9LH6KumZrkDxKVP0QjBeQPEmxMZS6n\nkOL3JvEH3XA6rtKL3/ANqr7qJseQIq++3MADSfjHJw7tOMKhXaYO7c592ucb5Ft9nhNITSWD\nia5m7JR/ABJ/gMSR9yANflaF9PLpTiD9go2iTazklaNvBCT+AIkj70GaOH6zb1DtDYVOIJ30\nI6KZh9TTT04BJP4AiSPvQVp/4URfzrkXb3QC6dD5RJdfSvTgoYDEHyBx5D1IvpoK3+yHTW/a\n2UI69Rra13sO0ZRBgMQfIHHkQUi+bbGcQLqr123n9/y4eXGf6wGJP0DiyDEkp3akQ1o5NCeW\nE0iN/9Wjx3zawU7+BJD4AySOvAdpxPhn16g5gUTU0EhUv7aJwxEgaQESR96DdJqJUDJIKSS8\nsoDEESBlCtK4Vc4hNfzkhGNiDQYk/gCJI+9BWnPZw6+vVXICqaTn2OklajcBEn+AxJH3II3O\ncf5mw4DlHIAAyRIgceQ9SB9sjecE0nE852oAJEuAxJH3ICnVlDt8jXTt84CUeoDEkSchbc1x\nCKn2nEQn/f7ivkmTF+4liqyYXlwW0qeAZA6QOOrekAouZEcPG65m+GboxnnVlbfdQVQ+dXN1\nyWJ9CkjmAImj7g1pbHuGb/ryDhC9l9fin7iBqKqgXpsCkiVA4siTkGrXOoSUsGgLReuW3UG1\neU1E4fxqbarc9GVNTY1vv2hBahBeRrIaItKH2O+nZvmDROUPcYAC8gcJHnB4x5QgxWelsPBq\nGv6rua/m0XvnPlnLBcl6Ev278ib9kzaNV68WrdWmysWs3Nzc0ckpIpRyKUFybfSQjubvF5w+\nZtQpl1Y6gmRzEv3Gb/70Y//GCerVogptqlxULF269FG/aBFqEV5Gslqi0ofwhygof5BW+UME\nKCx/kEjA4R1TghSflcQf9BYdzcTC932+6oIfO4GU8CT6u9WDuNbCyto8P1Ekv0qbarcLH4fi\nNRJHeI3En8BqGs/Z8Ip6+cKZTiAlPIn+uskRoqb86ubCSqLtBXXaFJAsARJH3oM0dIV6+fuh\nTiAlPIl+Y9GST2t+fVOAlpfu3DVjCbVPAckcIHHkPUg/H/Gkz7doyM+dQEp8En3f3ddNefBr\n5XCufFrxspA+BSRzgMSR9yBt/3m+zzf1zo+dQMJJ9EUCJI68B4nn3N84ib5IgMSR9yBxnfs7\nlZPoC6xmPEDiCJAyBYn73N+8J9EXWM14gMQRIGUKEse5vytPWsYjCJDMARJH3oPEce7vrw6+\nDpBSD5A48h4knnN//7nPY1FASjVA4sh7kHjO/V14Lus/xPr/kQDJYYDEkfcg8Zz7O+H/RwIk\nhwESRx6ElCCcIFJGgMSR9yANassJpMm18ek7PwMk/gCJI+9Bel7p6YVXvZgU0r59+9jL+9S+\nuacPIPEHSBx1BskFOxIgtb3lMCkpJGZoFCDxB0gceRVSTW5SSIsWLWI3L4pVvh+Q+AMkjrwH\naYvahruHO3mNdMUHHIAAyRIgceQ9SCfHzvx9UrkTSCkVFq1VfBEOBpE/RJQi8gdJw76KUFT+\nIK2d7Cu3IQmsZtDw6mid2nafNEh1ogWpXngZyaoPSx+irpma5A8SlT9EIwXkDxJstL/NbUgC\nq9nkszZSGiSBH5zxcGjHEQ7t+BNYTcOh3f+Mu1It58orAUlugMSR9yCdUTpfLWf+fECSGyBx\n5D1I11fHJgXJDu3G/5VoLM//jAUkS4DEkfcgJSoRpH4TfLvZ07vbAiT+AIkj70Fy+rd2Pzf+\nZQPPEZ/AasYDJI4AKVOQ1L+1e2ruhU8kfddu3Yo/sl/9sS1A4g+QOPIepHhLzvw4GSSlwo85\nAAGSJUDiyKuQ/nbNegeQiFo/X7tmF99/NxdYzXiAxFH3hOQ2HSmQnn1ym29H8jcbYr15tvoC\n6aw3ASmFAIkj70G6J+eEMTVzR77tBNKW3gPnvfDSguN7VwMSf4DEkfcgDS3bcvGT68Yl/T2S\n2tgT96mTb08aB0j8ARJH3oN0xjrfnXN8qwY7gTRgZnw6+zhA4g+QOPIepElLfI9M860+zQmk\nYzVIAwCJP0DiyHuQ1g1b8tCQsnFXOYF0ZfzQru5knI4rhQCJI+9BuvbEM5VGve4E0ubeA3/z\n0kv3D+q12fjd/YunXD/nc6LIiunFZSF9CkjmAImjgFw7EiBd84avQ7Zvf1cMib39/Ybpm7Nn\nbPctLKqj8qmbq0sWU/sUkMwBEkfeg1SjlxwSRXdVrNlp/oXsvrwa5adQ0Rr/xA1EVQX12hSQ\nLAESR96DlKPnAFKCvvmzchgXKHy9Nq+JKJxfrU2Vm75Ude4XLUgNwstIVkNE+hD7/dQsf5Co\n/CEOUED+IME0QhJYTcN/NX9VLzVIaoGFNzRuGq9eK1qrTZWLWbm5uaOdLQEhU2mEJLCWIdNL\nohrTKYT4IbW+Pe32L2jjBPV6UYU2VS4qli5d+qhftAi1CC8jWS1R6UP4QxSUP0ir/CECFJY/\nSCSNkARWs8XkZmuOEKT6mSXrW4lq8/zKa6X8Km2q3Sx+uIzXSM7DayT+BFbzgIuQWm9/IPaZ\nss2FlUTbC+q0KSBZAiSOujWkxJ8h+0H++g+U9tLy0p27Ziyh9ikgmQMkjjwJqXatM0iJP0P2\nxbxYr1GkfFrxMvUXsm1TQDIHSBx5ElKH8BmyMgIkjjwLaW6NA0j4DFmRAIkjz0I6d40DSPgM\nWZEAiSPvQWr7ZeyQKTXJIaWU+D4FJOcBUqYgtf+B0BlOIB1Yu+pfLRFASiVA4sh7kLa05wDS\no30ZW7/+uysBKYUAiSPvQeJ51+61Hlc8z9Z/NZr9BZD4AySOujekS88OE1tP0fMvBST+AImj\n7g2p71xSIdG9/QGJP0DiqHtDOuHuOKR7BgESf4DEUfeGNHFgnQrp6+9OACT+AImj7g3ps74n\nLGB333PMEZ8AEn+AlKQ02skwJPrgcvXkJz/cyuEIkLQAKUlZBImo7t3qBh5GgNQeICUpmyDt\nfnzWvFV1xJPw/gUkjgDJE5DuPFg9tOv/ex5IYdFaxRfhYBD5Q0QpIn+QNOyrCEXlLDhTkARW\nOZgapDJ20Zpvvn59BHueA1KdaEGqF15GsurD0oeoa6Ym+YNE5Q/RSAE5C84UJIFVbkoNUu4Q\nvzrxD8FfNqQQDu2SlClIAquc6l82zIpPf30kIPEHSEnKHkjfnxGf3nIhIPEHSB3KFB1zAhuQ\nIqSn+r2nTtYfthyQ+AOkDmWaUDyBDUgB0n1qQ3qMuf2/R7LvrwUk/gCpQ5kmFE9gA1KAxIzx\nnNBbeG8DEkeAxJ/ABqQAKWKM56RcwnsbkDgCJP4ENiD1PxHiT3hvAxJHgMSfwAakCOmLwkHH\nxDodkPgDpA5lmlA8gQ1IEdK4HiNuKlX7GSDxB0gdyjSheAIbkOovZFdzAAIkS4DUoUwTiiew\nASlCOmUXIKUeIHUo04TiCWxAipD+ey4gpR4gdSjThOIJbECKkEIXXPuHlbEAiT9A6lCmCcUT\n2IAUIb14sPYbWUDiD5A6lGlC8QQ2IEVI5/9gde2OWGYr4aJG5TKyYnpxWUifApI5QOpQpgnF\nE9iAFCEdWZPoR05k96I8FVL51M3VJYv1KSCZAyS1TKtJkMDWpAhp9HuJID0/bbIKyT9xA1FV\nQb02BSRLgKSWaTUJEtiaFCFVjdqdSBJ9qkKqzWtSDvLyq7Wp8v0va2pqfPtFC1KD8DKS1RCR\nPsR+PzXLHyQqf4gDFBCYO9NqEiSwNSn+V/OC7x10+rBYCSBtGq9eLVqrTZWLWbm5uTx/KI66\nf5lWkyCBrQmlBunq9syLi0HaGDuPcVGFNlUuKpYuXfqoX7QItQgvI1ktUelD+EMUlD9Iq/wh\nAhQWmDvTahIksDUtqUGyq+3Qzk8Uya/SptqNAkeg8fAaiSO8RuJPYGtc/m8UMUjNhZVE2wvq\ntCkgWQIktUyrSZDA1qQIaahWSQJItLx0564ZS/QpIJkDJLVMq0mQwNakCCn28mjMyWzEHxJB\nipRPK14W0qeAZC5bIWXaSdIE9oXYod1fjnzb5hgvUQKrGQ+QOAIk/gT2heBrpJljAYk/QOqi\nCewLQUiPHQVI/AFSF01gX4hBivwInyGbQlkEKdM0+BLYFyJvNlx91cnsDkDiD5C6aAL7IkVI\n8T8PGnbR7CAg8QdIXTSBfYHz2lkCJOcBkh4gWQIk5wGSXgqQhpoCJP66N6RMaxBIYF+kAGmE\n3pE4Z0MqAVIXTWBfiBza/fsGdvQfOn4bkJIFSF00gX2ROqRoWf8eP9nL4QiQtACpiyawL1KG\ntGU4O2cjDyNAag+QumgC+yJFSPtv6dl3cZjPESBpAVIXTWBfpAbpyWPZdV9yMgKk9gCpiyaw\nL1KB9NFlbPBb3IyIwqK1ii/CwSDyh4hSRP4gadhXEYom+G6mNQgksC+C/JDu7H3YfJ6/DGqv\nTrQg1QsvI1n1YelD1DVTk/xBovKHaKRAbJrp579rCeyLFE7HZfowZvweKYW6waFdpp/ychLY\nISkc2pWYAiT+AKmLJrBD8Ld2lrIcktNnWdqe22lNYHcDkiVAyuIEdjcgWQKkLE5gdwOSJUDK\n4gR2NyBZAqQsTmB3A5IlQMriBHY3IFkCpCxOYHcDkqVuCqmT50uGnrRdMYHdDUiWvAypk2dF\nJ8+XND5Ru3oC+x6QLAFSFiew7wHJEiBlcQL7HpAsZQMkZJPAvgckS4CUxQnse6mQIiumF5dl\nxweNcT06YpDsFy73WZYFCTwqUiGVT91cXbIYkKwBUhdN4FGRCck/cQNRVUE9IFnSIHVyv5Qe\n+hSfPkgrpYc+nkxItXlNROH8auXqlzU1Nb79ogWpIdldOtlL9vcz3tAQcbo8t8vUuKi9lJ+Z\n+/en8F/NHbdpvHpZtFa5mJWbmzs66QxOtze1uRBKkv3zKulzNyQR0sYJ6mVRhXJRsXTp0kf9\nokWoRXgZyWqJSh/CH6Kg/EFa5Q8RoLD8QSIB+WOQ+IPeIvXQzk8Uya/SvhY4Ao3XhV8jcdWF\n/2iVK97PkE2pQL38MUj8QZf5Gqm5sJJoe0EdIFkCJI4AiWh56c5dM5a0fym8soDEESA5r6tD\nipRPK16WHb+Q5QqQOAKkDgmvLCBxBEjOAyT3AyTnAZIeIFkCJOcBkh4gWQIk5wGSHiBZAiTn\nAZJeOiE1ihYIHxBeRrIOBKUP0egPN8sfJCR/iKZwi/xBAk3yxwiLP+gtX3Xa125CQggBEkIu\nBEgIuRAgIeRCgISQCwESQi4ESAi5ECAh5EKAhJAL4U+E3At/IsQR/kQIkOwCJI4ACZDsAiSO\nAAmQ7AIkjgAJkOwCJI4ACZDsAiSOAAmQ7AIkjgAJkOwCJI4ACZDsAiSOAAmQ7AIkjgAJkOwC\nJI6yEdKzeUoF+mfHZtFnyHIFSBy5Dsn0uUfxb3U1SA/Pra6u3qp/dmwWfYYsV4DEUTZC+tUr\nsYn22bHZ9BmyXAESR9kIqWje1Elz97R/dqzhM2TLJk+efHNYtFYSXoSDQeQPEaWI/EHSsK8i\nFJU/SKvb+8oEKf4tEn/Qgy5Casib/9G2mVObtc+O5f4MWYTkx/fZsE5z8zNkI/taiZquWa99\ndqzhM2RjCf/4xKEdRzi0s8kDh3axbnlO++xYfIasTYDEURZC2nxrI1HLxPe0z47FZ8jaBEgc\nZSEkf/Gc9z+ec2uk/bNj8RmyiQMkjrIQEu2+97opi/frnx2Lz5BNHCBxlI2QkiS8soDEESDZ\nBEiAxBMg2QRIgMQTINkESIDEEyDZBEiAxBMg2QRIgMQTINkESIDEEyDZBEiAxBMg2QRIgMQT\nINkESIDEEyDZBEiAxBMg2QRIgMQTINkESIDEEyDZBEiAxBMg2QRIgMQTINnkfUjCZ2rBWYQ4\nwlmEbDJBin+ri51FKFn7RFN+IgkvI1l1YelD7GuiA/IHicofop5a5A8SrHd5gSZI8W+R+IOO\nQztLOLRzHg7t9ADJEiA5zzOQJtkWvx2Q3A+QnAdIeoBkCZCcB0h6gGQJkJwHSHqAZAmQnAdI\neoBkCZCcB0h6gGQJkJwHSHqAZAmQnAdIeoBkCZCcB0h6gGQJkJwHSHqAZAmQnNeFIdnTASRA\n4gqQAMkuQOIIkADJLkDiCJAAyS5A4giQPA3po/xGosiK6cVlIX0KSOYAiaPshNQ8PU+BVD51\nc3XJYn0KSOYAiaPshPTQHQok/8QNRFUF9doUkCwBEkdZCWndTR8qkGrzmojC+dXaVLnhsZtv\nvvlXIdGiFBZeRtJa5Q8RoYj8QdKwHWGKyh8kmtJj7hRS/N4kvrMCbkL6d9EnnyqQNo1Xvyha\nq02Vi1m5ubmjHf1MQ8iFnEJybcCQi5Cid64mFdLGCepXRRXaVLnwNzQ0NAqfqQVnEeKou5xF\nKNCQylxOIcXv3cXOIvRi6T/2bMzbUVeb5yeK5FdpU+124eNQvEbiCK+RnBS/dxd7jbQsL9bD\nzYWVRNsL6rQpIFkCJI6yEJKaemhHy0t37pqxRJ8CkjlA4iibIUXKpxUvC+lTQDIHSBxlKaTO\nEl5ZQOIIkADJLkDiCJAAyS5A4giQAMkuQOIIkADJLkDiCJAAyS5A4giQAMkuQOIIkADJLkDi\nCJAAyS5A4giQAMkuQOIIkADJLkDiCJAAyS5A4giQAMkuQOIIkADJLkDiCJAAyS5A4giQui0k\n4TO1pOMsQmGcRchxOIuQnqtnEUpSnWhBqhdeRrLqw9KHqGumJvmDROUP0UgB+YMEG1OZyymk\n+L1J/EFvwqGdORzaOQ+Hdnp4jWQJkJwHSHqAZAmQnAdIeoBkCZCc1w0gJWKVUoBkCZCcB0h6\ngGQJkJwHSHqAZAmQnNe1IKVmB5AkBUjOAyQ9QLIESM4DJD1AsgRIzgMkPUCyBEjOAyQ9E6Rt\nsQBJdoDEkfcgrRyaEwuQZAdIHHkP0ojxz65RAyTZARJH3oN0mokQIMkLkDjyHqRxqwAJkHgC\nJD0DpDWXPfz6WqXUIX1x36TJC/cSRVZMLy4L6VNAMgdIHHkP0ugcwTcbQjfOq6687Q6i8qmb\nq0sW61NAMgdIHHkP0gdb46UMyZd3gOi9vBb/xA1EVQX12hSQLAESR96D5PvzM75tqzak/hop\n2kLRumV3UG1eE1E4v1qbKjetuuuuu+YFRItSUHgZyQq2Sh8iEKaQ/EHSsB0hisgfJOp0X7kA\nSWQ9dTTzBs6ruWTgCU+IvNlwV96kf9Km8erVorXaVLmYlZubO9rREhBKLRcgCYwe0tHkPuB7\n/NR37rhcBFLjN3/6sX/jBPVqUYU2VS6+3bNnz1fCZ2pJx1mE9kekD4GzCPHk+CxCLkASWE3D\nWYROfMNXWux7+eSUIe1WD+JaCytr8/xEkfwqbardLnAEGg+vkTjCayT+BFbT8Bpp2GM7hj/s\nm3t+ypDWTY4QNeVXNxdWEm0vqNOmgGQJkDjyHqTbz5pwyubynAUpQ2osWvJpza9vCtDy0p27\nZiyh9ikgmQMkjrwHqeaea//Pt+6F1N+1I9/d10158GvlcK58WvGykD4FJHOAxJH3IKmWyn0+\nAUhJEljNeIDEESBlENLWHEACJMcBkh4gWQIk5wGSHiBZAiTnAZKeGVLtWkACJMcBkp4J0l8f\nW/oyIEkfApB48h6kbdfnDM4ZdFXqf/0NSA4DJI68B6n04jd8g6qvugmQZAdIHHkP0rlP+3yD\nfKvPAyTZARJH3oM0+FkV0sunA5LsAIkj70GaOH6zb1DtDYWAJDtA4sh7kNZfONGXc+7FGwFJ\ndoDEkfcg+WoqfLMfNr1pB0hSAiSOOoPkgh0ZkJ59cptvhw+QpAdIHHkP0j05J4ypmTvybUCS\nHSBx5D1IQ8u2XPzkunEF0iCJnKMlFs4ixFE2nEXIbUgi66mjOWOd7845vlWDpUHaL1qQGoSX\nkayGiPQh9vupWf4gUflDHKCA/EFCB+xvcxuSwGoaTn4yaYnvkWm+1afh0E52OLTjyHuHduuG\nLXloSNm4qwBJdoDEkfcgXXvimUqjXgck2QESR96DdM0bvg4BkowAiSPvQRI+9zcgOQyQOPIe\nJDfO/Q1ITgIkjrwHyY1zfwOSkwCJI+9BEj73NyA5DJA48h4k4XN/A5LDAIkj70ESPvc3IDkM\nkDgyQ3KbjgxI4uf+BiRnARJH3oPU1khAkh0gceQ9SP8z7kq1nCuvBCS5ARJH3oN0Rul8tZz5\n8wFJboDEkfcgXV8dm8j7/0iCexSQuAKkTEHy4fOR9gIST4Ck5+qnUexfPOX6OZ8TRVZMLy4L\n6VNAMgdIHGUjpNkztvsWFtVR+dTN1SWLqX0KSOYAiaMshLQvr0b5KVS0xj9xA1FVQb02BSRL\ngMSR6ydmSAcksc9H+ubPymFcoPD12rwmonB+tTZVbnppwYIFS1pEi1BAeBnJCkSlD9ESppD8\nQVrlDxGksPxBImmEJLKeOpoFq9WT2r2zSejNhsDCGxo3jVevFa3VpsrFrNzc3NHOloCQqTRC\nEljLkI4mZ+CozT7fzJy891KG1Pr2tNu/oI0T1OtFFdpUufiypqbGJ3COlng4ixBH3eUsQsE0\nQhJYTcNZhHLKrh/n83303KVTU4VUP7NkfStRbZ5fea2UX6VNtZvFD5fxGsl5eI3En8BqGl4j\n5azanvt7Zbp6aIqQWm9/IKhOmwsribYX1GlTQLIESBx5EZKvbNg2n+/lwSlC+iB//QdKe2l5\n6c5dM5ZQ+xSQzAESR56EVHvFpG01k/4rRUgv5sV6jSLl04qXqb+QbZsCkjlA4siTkHxvDjnl\ne2e8kSKkZInvU0ByHiBlCtKD6pm4qh5a9K7I29+A5CBA4sh7kBIFSDICJI4ACZDsAiSOAAmQ\n7AIkjgAJkOwCJI4ACZDsAiSOAAmQ7AIkjgAJkOwCJI4ACZDsAiSOAAmQ7AIkjgAJkOwCpCSl\n0Q4gSQqQnAdIeoBkCZCcB0h6gGQJkJwHSHrphCR+QhmcRch5Xj6LUKYgiaxzGiHVixaiRuFl\nJKsxIn2I+hZqlj9IVP4QByjg1qIyRcecwAY049DOHA7tnOfioV2mCcUT2AC8RrIESM4DJD1A\nsgRIzgMkPUCyBEjOAyQ9QLIESM4DJD1AsgRIzgMkPUCyBEjOAyQ9QLIESM4DJD1AsgRIzgMk\nPUCyBEjOAyQ9QLIESM4DJD1AsgRIzgMkPUCyBEjOAyQ9QLIESM4DJD1AsgRIzgMkPUCyBEjO\nAyQ9lyGFixqVy8iK6cVlIX0KSOYAqUOZJhRPYANchRTZvShPhVQ+dXN1yWJ9CkjmAKlDmSYU\nT2ADXIX0/LTJKiT/xA1EVQX12hSQLAFShzJNKJ7ABrh8aPepCqk2r0k5yMuv1qbK9yuWLl36\nqF+0CLUILyNZLVHpQ/hDFJQ/SKv8IQIUFpg702oSJLA1Lp/8JAZp03j1atFabapczMrNzR3t\naAkoW8q0mgQJbE1IAqSNE9SrRRXaVLnYWVlZWS18qhmcRYijVvlDiJ1FKNNqEiSwNS6fRajt\n0M5PFMmv0qbajcIH0niNxFGXf42UaTUJEtgaGa+RmgsribYX1GlTQLKUrZAy7SRpAvtCBiRa\nXrpz14wl+hSQzAFSF01gX0iBFCmfVrwspE8ByRwgddEE9gX+RMgSIDkPkPQAyRIgOQ+Q9ADJ\nEiA5D5D0AMkSIDnPAaRM0+BLYF8AkiVAch4g6QGSJUByHiDpAZIlQHIeIOkBkiVAch4g6QGS\nJUByHiDpAZIlQHIeIOkBkiVAcl5iSJnWIJDAvgAkS4DkPEDSAyRLgOQ8QNIDJEuA5DxA0gMk\nS4DkPEDSSyckgXO0xMNZhDjK2FmEMq1BIIF94fJZhDqtUbQwNQkvI1kHItKHaAyQX/4gUalL\nNz3/OrnJWwnsEJdPftJpAj844+HQjiO5h3aZfsrLSWCH4DWSpSyH5PR5laFnuuRS29OxAMkS\nIDl6XmXomS651PZ0LECyBEiOnmVpe26nNYHdDUiWACmLE9jdgGQJkLI4gd0NSJYAKYsT2N2A\nZAmQsjiB3Q1IlgApixPY3YBkCZCyOIHdDUiWACmLE9jdgGTJy5A6eVY4fb6k8VnbBRPY94Bk\nKRsgIZsE9j0gWQKkLE5g3wOSJUDK4gT2PSBZ6vqQ7B/6Tp4VaXw2ejiBR0UqpMiK6cVl2fGJ\nfVyPTnogIe4EHhWpkMqnbq4uWQxI1jRITh9Fpwt347mU1aX00MeTCck/cQNRVUF9xiClspc6\ng+TCo+PC/cRnQjY5e4okTCak2rwmonB+tXL1b0888cTTTaKFqZnr/ua9ZH+T8YbmqMOZXC+N\nQ6HEcT27zPklQto0Xr0sWqtczMrNzR3NvwSEPFJIIqSNE9TLogrl4sO33nrrb0KnrVHDWYQ4\napU/RDMF5Q8SapY/qBMI4gAACpFJREFUBok/6DLPIlSb5yeK5FdpXwscgcbrwm82cNWF/9aO\nK94PY06pQL38MUj8QZf5Gqm5sJJoe0EdIFkCJI4AiWh56c5dM5a0fym8soDEESA5r6tDipRP\nK16WHb+Q5QqQOAKkDgmvLCBxBEjOAyT3AyTnAZIeIFkCJOcBkh4gWQIk5wGSHiBZAiTnAZJe\nOiEJ9+KC+uR38kCVCz7O9Cq40pcL3sz0KrjTgsfTN1ZXgHRP7peZXgVXeiq3ItOr4Erbc3+X\n6VVwp9yp6RsLkNwLkLpYgOTNAKmLBUjeDJC6WNkGCSHPB0gIuRAgIeRCgISQCwESQi6UYUjh\nokbl8tk8pYIOZ570UPHt0Nbfu9vRHR4LrfRuQUYhRXYvylOfgA/Pra6u3trhzJOeSdsObf29\nuh1qXn8s9NK7BRmF9Py0ybEn4K9eiX1pPfOkZ2rbDm39Pbsdal5/LNpL8xZk+NDu0xikonlT\nJ83dYzzzpNeKbYe2/h7eju7wWLSV5i3oCpAa8uZ/tG3m1GbDmSe9Vmw7tPX38HZ0h8eirTRv\nQYYgbVRe0e6htidgZF8rUdM16w1nnvRKpu3Q1t+D26EW2xYPPxaW0rwFGYIUaW5uVh6xtkO7\nWLc8Zz3zpAcybYe2/h7cDjVtW8ijj4WlNG9BVzi023yrctEy8T3rmSc9VGw7tPX38HZ0h8ei\nrTRvQVeA5C+e8/7Hc26NWM886aHiP1m19ffudnSHx0IrvVvQFSDR7nuvm7J4f4czT3qo+HZo\n6+/d7egOj4VWercAfyKEkAsBEkIuBEgIuRAgIeRCgISQCwESQi4ESAi5ECAh5EKAhJALARJC\nLuR5SP/swZY6ve8ll8hcExezXVG3tmDs8MTfj7D7kgzV/9bkSxdcy6GM6YOUMjZUaGlpyvOQ\nFjHW8WE7LvFmtT/Ai9g+2zvZjLIvhXVLOYeQkm5GotWOfU8c0m5WajtsgrV0tr7xhl7w3Pvt\nX2x9LheQ0tEFR4zpscf6zbOPS3hfMySbOyWsC0PqbDOkQrrZdthOISXf7UMLTF9eDUhp6DM2\n6XH2cNsX/6rULxNlhsSTICT7VUqc8ZlomtfuKWqTREjhPg8nvL2ztXS4FwEpAz3AXtx70MXq\ntbGFqw45SbscTtf2Vv9LV/PhY4meuuDIvsMeJf0BvoIxNjn2ZLq6oGpM/9yXQref1u9H6s+1\nz649sd9lf2lfujZnfIZYtnNYb9gybsBx46raV2wB+1S5vrfXjPhi2B9XX9bv+4+T8Y76tfZn\nYnxefZDYDea1Mm+raQPaVlsfwLDt7//omOOm11s3WYH01EV9hy/ThtJn3fifR+dM2h2H1Hhh\n/610+Rblyj2nHXbKL5vaZm7/yjSrvu+c7vYYJH3RgJSOhh3RQpf1+EK5NvbcPteWaZfD6Xn2\npPLNZ9mflWsX3P+rs9mz+vPzg5vZy7XxR/R7o96t+cHBF9y38+keE5Ub+g28+76hPf7YtvD2\nOeMzxLKdw3LDm71PuPueE3u/qa3YDvZbZe7l7L34YtgPT33m76XsfuMd9Ws6pNi8+iDqDZa1\nMm2reQPid9AXa9j27x7z89+PZCXWTY6woX1/Pussdmd8KH3Wl3udfd8dfU9tVCH5L+vX9lOy\noNc1865Sl2L+yjSrvu+c7vYYJH3RgJSGfKyIaDFT/x/kWPaYfjmc/EeoZ5G5tp+fxvf9lijQ\n76fWQ7vYI3qQ8o/sanat8r0Rg5R/M09Q7hq6ou+B+N30OfWDEts5zDdEhw7cS7Rv4DmtbatE\nQ0coF1ec2rYYdtBO5fKGI/bqdzTMokOKzasPot5gWSvTtlo2QL2DYbGGbWflRK3DTrFucoT1\nUKT7Lzp4tzqUPmvo1HP9RI8pa9P/1uCVh2+IL6qhx23K5cjB1q9Ms1oP7ZLvdhWSYdGAlIbm\nspeIdrEfKFfH9o/ql8qDVdTHT/7DpyuPpnrcs+/wyQkhna58Vcv+oFzedAzVsd+otz7P2s7h\npM9pgGQ3h/mGXfEb5rHP21aJ5vT4kr7s+eu2xbCx6uW77Cn9joZZdEjqvIZB1Bssa2XcVusG\nqHcwLNaw7UdElKtTjrPOEWGj1cka9rg6lD5rJVuhXAk9uJb631TAHmpbu8YeuYYXPfpXplkT\nQup0t6uQDIsGpDQ0hD30yCOP9O/xT+UBGqJ+o+1SebBeYi/Sc+xvylc7fldyxZEsMaRh6u1s\npXJZeozyvG5rVdv92uc0QLKbw3xDhSqc6AXlyRFfJfqQldHDbEfbYljstdK3bL5+R8MsOiR1\nXsMgsRvMa2XcVusGqHcwLNaw7bEn59TjrHNE2H+rk2/YLHUofdan2Ltta9T/kH5Hnxpo+2Je\nz4Mvn6ndon9lmjUhpE53e+zQTl80IMnvQ+0hWKy9EaVfBvrdQNedpBzPLO19yrSFawc5gFTN\n7l4f61/xu+lz2kEyzGG+YU38ifQSW9P+DtngH9KI9jfL2M/Uy3+x+/Q7GmbRIakzGAZRb7Cs\nlXFbrRug3sGwWPO2xyBZ5miD9DWbpw6lz/o429K2Rv2P2FSu3NrWR3MuOYTlRSxfmWZNDsm6\n1vF37doXDUjym628vib1IGFER0h0w1ENhytHUk2HTFFfHRzrAFIDm6ne+tX6lti9DHPaQTLM\nYb5hp/o+AtECtqsd0sxeVaz9pDbsMvXydfYn/Y6GWcyQDIMoN1jXyritlg2I3cGwWPO2xyBZ\n5oiwUfH1iv3w02f9O3tKvfbbVdT/FopecNjnsXvX72gm2l/CXrV8ZZo1OSTrWquQDIsGJPmd\n3if+1uu5Pf7REdKrrFR9y/lDNlf5okJ9V8IA6ZtEjyj98Bjl+9Exx8X/iTXMGZshlu0c5hui\nZw5SXsp8e/xZ0XZI1ezsg77S1pypB50tP+jzlX5HwyxmSIZBlBusa2XcVssGxO5gWKx522OQ\nLHNEYuvlH3FkXewdg/ZZm797YZDoA0WH+vb35p7x3/SsVY8E6BX2suUr06yGfedst8cgGRYN\nSNLbqj6b1B5gv+sIKdi/h/oLpuDxx/z6iVsGHH/s4/rzs5zd8/dEj+jWI747897z2Z/i9zLM\nGZshlu0clhve6HXKr+89Ofb2t3Y8dzIb077qbOBhP7vvHDbfeEf9mgWSPohyg3WtjNtq2YD4\nHfTFmrc9Dsk8R4Rd2Odnc4aqf76oroM+6596nL/g3gHHfxv/heyN7HX13k0n9yn+7fTvnNxA\n5q/Ms+r7ztluj0EyLBqQpHdX20EFfca+3xESTY29LUTbR/c7YdLudy8r0Z+f+0f1+Zn1Eb1F\nfSfpk/HHH3nJa9ry9TljM8SyncN6Q+WVAwaMrSIDpF+yx9tXnc1+7Py+F8beF2+/o37NAkkf\nRL3BslambbVsQHy19QFM2x6HZJ4jOnrt/w7vd8lz2jros755Rf+BRW2/kKV9R58We7/Bd93A\nQ04q+UfbzO1fmWfV953D3R57jaQvGpCQudJDG9qvs9kZXJEuHv5ECHVWQ/+J+heAZB8gIfui\nv7iIvaN/CUj2Df3+S9vav/jgpeGAhPQig773v4YvAck+/Mc+hLI1QELIhQAJIRcCJIRcCJAQ\nciFAQsiFAAkhFwIkhFwIkBByIUBCyIX+Hw0pV63zfwEaAAAAAElFTkSuQmCC", - "text/plain": [ - "plot without title" - ] - }, - "metadata": { - "image/png": { - "height": 420, - "width": 420 - } - }, - "output_type": "display_data" - } - ], - "source": [ - "ggplot(mempoolBlocks[`Slot` >= mempoolHistory[, max(`Slot`)] - 4 * 3600 & `Tx seen first` == TRUE], aes(x=`Mempool - slot time [s]`)) +\n", - " geom_histogram(bins=50) +\n", - " facet_grid(`Region` ~ ., scales=\"free_y\") +\n", - " xlab(\"Arrival time at memory pool relative to the block's slot time [s]\") +\n", - " ylab(\"Number of transactions\") +\n", - " ggtitle(\n", - " \"Arrival of transactions reaching memory pool\"\n", - " )" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "id": "5cd2d28e-35de-4ca3-b9a1-c270f11258b8", - "metadata": { - "tags": [] - }, - "outputs": [], - "source": [ - "ggsave(\"transaction-arrival.png\", units=\"in\", dpi=150, width=8, height=6)" - ] - }, - { - "cell_type": "markdown", - "id": "c5704189-1ac9-43e4-80e3-cfee3b5186a0", - "metadata": {}, - "source": [ - "### Histogram of block arrival time relative to slot" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "id": "63ae2f74-e144-4c6d-8f71-c2e6ab45f2d4", - "metadata": { - "tags": [] - }, - "outputs": [ - { - "data": { - "image/png": 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nMESNoBkjpbQJobafbpvedIC0BKN0BSZwtIfZMCpHQDJHW2gGQ5rjkbBUiaAVIW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\nIJkFSAwBEiCZBUgMARI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- "text/plain": [ - "plot without title" - ] - }, - "metadata": { - "image/png": { - "height": 420, - "width": 420 - } - }, - "output_type": "display_data" - } - ], - "source": [ - "ggplot(mempoolBlocks[`Slot` >= mempoolHistory[, max(`Slot`)] - 4 * 3600 & `Tx seen first` == TRUE], aes(x=`Block - slot time [s]`)) +\n", - " geom_histogram(bins=50) +\n", - " facet_grid(`Region` ~ ., scales=\"free_y\") +\n", - " scale_x_sqrt() +\n", - " xlab(\"Local arrival time of block relative to its slot time [s]\\nnonlinear scale\") +\n", - " ylab(\"Number of blocks\") +\n", - " ggtitle(\n", - " \"Arrival of blocks locally\"\n", - " )" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "id": "24b38e6e-4aa5-4754-b911-18321c915a6a", - "metadata": { - "tags": [] - }, - "outputs": [], - "source": [ - "ggsave(\"block-arrival.png\", units=\"in\", dpi=150, width=8, height=6)" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "r-minimal kernel", - "language": "r", - "name": "r-minimal" - }, - "language_info": { - "codemirror_mode": "r", - "file_extension": ".r", - "mimetype": "text/x-r-source", - "name": "R", - "pygments_lexer": "r", - "version": "4.2.2" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/post-cip/mempool-measurements/mempool-experiments.sh b/post-cip/mempool-measurements/mempool-experiments.sh new file mode 100644 index 000000000..38c13412c --- /dev/null +++ b/post-cip/mempool-measurements/mempool-experiments.sh @@ -0,0 +1,179 @@ +#!/usr/bin/env bash + + +export PATH=/extra/iohk/bin:$PATH +export CARDANO_NODE_NETWORK_ID=mainnet +export CARDANO_NODE_SOCKET_PATH=/extra/iohk/networks/mainnet/node.socket + + +# First experiment + +for i in {0..19} +do + echo -n "$i: " + head -c 1536 /dev/urandom | basenc --base16 --wrap=128 | sed -e 's/^.*$/{"bytes":"&"}/' -e '2,$s/^/, /' -e '$a]}}' -e '1s/^/ /' -e '1i{"1536":{"list":[' > "tx-$i.metadata" + cardano-cli conway transaction build \ + --tx-in "fa7c2496cff58610c92ee8fb0a8800d336e144d60e1e13155cc52c120e605bb7#$i" \ + --change-address addr1qy9prvx8ufwutkwxx9cmmuuajaqmjqwujqlp9d8pvg6gupcvluken35ncjnu0puetf5jvttedkze02d5kf890kquh60sut9jg7 \ + --json-metadata-detailed-schema \ + --metadata-json-file "tx-$i.metadata" \ + --out-file "tx-$i.unsigned" + cardano-cli conway transaction sign \ + --signing-key-file payment.skey \ + --tx-body-file "tx-$i.unsigned" \ + --out-file "tx-$i.signed" + cardano-cli conway transaction txid \ + --tx-file "tx-$i.signed" \ + > "tx-$i.txid" +done + +for i in {0..19} +do + ( + cardano-cli conway transaction submit --tx-file "tx-$i.signed" + date -u > "tx-$i.submitted" + ) & +done +wait + +# Wed Nov 26 02:01:16 PM UTC 2025 + +# 9161c5cd50f2fedc5e2c86ad17720b03f8cc232cee3cf39d073f6695da2697e7 +# 59b7d5965f7ccaf31c207999d48478ec112c2a8c1a18d076d56ecae14d6045af +# 62f7aa82f8aa193c6a181ccb0ae050e037fa91e01a82acc09725a7ff2b4b5999 +# 5cc3dc20a744338a713709303eeae9fccc4b035e4b9b1aeaf483479125a7a030 +# 1f176c316231e138623364a4bed8574ceb070b2562c6867cf012e1c2cded6d7d +# 6d71d94cffbffc9667925db20f13d4f060f67826fb3d541edbe79d86c58ea6d1 +# 0ed21a6ff7e05561a73ebe454cbfc7bbea04c443529c23ec6440bb29724bcb4f +# 860cb1697749d2ab49bca6219d50b05b2da2c4183cae32fa4ed3d2be8870fe70 +# 8304148164ed0f943aa502173879bd66f0da18d22860c0b754acd9b894aa784d +# 95960b004be8e5b889f1df1ec29356e061ebf9577b83a68a193d3f6aeb11b4ea +# 98f0d4138828af650c871a8f142d46886ddb05231eb2c68876b5e60b735c2b2e +# aff3e9160b309eefdf05ce8755bb075929315b1cdb68e1456fae0c8f5e723636 +# fdec199a2d69145fe191498e3225b595e10d459a99a05253cfd6b333f6d27db6 +# f30a474797b6f0ed878aca7b06c8895ccd24660b389045f097aeb07afc69fa97 +# 9ce69e0b5f63fdc9480f85a06977e86e2e1230b2815d7490de5192672c89e3cf +# a553692d0e5df1a8699f4de3bca2e2aad0dc2d7383c244a887d870c32aab5a1a +# c3db88205930be7012f0b37e64870d6f4817449f4de36c963cb01bd73bc78c5d +# 94124f0a7df8ad4b1cae4d374ba145d547bda5ebee44e6a767e955f649aeb593 +# 711d440f3cacafe0db344e7065f60f7482d180326cf0387c6a625f16be0248da +# d2c6825db389345be7be53bc34b6e77e76a46473608092075a7577aead94252b + + +# Second experiment + +for i in {0..19} +do + echo -n "$i: " + head -c 8192 /dev/urandom | basenc --base16 --wrap=128 | sed -e 's/^.*$/{"bytes":"&"}/' -e '2,$s/^/, /' -e '$a]}}' -e '1s/^/ /' -e '1i{"1536":{"list":[' > "tx-$i.metadata" + cardano-cli conway transaction build \ + --tx-in "3a22614b95bea58c73152c28b360ecf42e24c90045fd8bff068de76c932415c1#$i" \ + --change-address addr1qy9prvx8ufwutkwxx9cmmuuajaqmjqwujqlp9d8pvg6gupcvluken35ncjnu0puetf5jvttedkze02d5kf890kquh60sut9jg7 \ + --json-metadata-detailed-schema \ + --metadata-json-file "tx-$i.metadata" \ + --out-file "tx-$i.unsigned" + cardano-cli conway transaction sign \ + --signing-key-file payment.skey \ + --tx-body-file "tx-$i.unsigned" \ + --out-file "tx-$i.signed" + cardano-cli conway transaction txid \ + --tx-file "tx-$i.signed" \ + > "tx-$i.txid" +done + +for i in {0..19} +do + ( + cardano-cli conway transaction submit --tx-file "tx-$i.signed" + date -u > "tx-$i.submitted" + ) & + sleep 0.05s +done +wait + +# 12be7f48a0bdd33a62df89c44b1ef6810d4d54ea26e7a4bf4c43e1fa3d8aa18f : Wed Nov 26 02:23:16 PM UTC 2025 +# 4906885ebf56d0806119f2d57128a9d20aa90867912a67f2faf6705be3febf6f : Wed Nov 26 02:23:16 PM UTC 2025 +# d8343e735a6fb5512bdd68fa076525ae7815fb7acd649cd11d927a7186fb6b30 : Wed Nov 26 02:23:16 PM UTC 2025 +# 315c821bd42e69fd03425aab4564408bcdf9ce0de6e8f551259011a8aaac650a : Wed Nov 26 02:23:16 PM UTC 2025 +# fa2a8d3824f0674f830889f2b1b0c9f998a610a7723c9a73cf7ca6b5b57f7f28 : Wed Nov 26 02:23:16 PM UTC 2025 +# 93fb26a1fde07afd41d86f2bb802dc7cd14827de5eac7094ab746dbdb77c2f06 : Wed Nov 26 02:23:16 PM UTC 2025 +# 0f55de2cd1cc3354297c855eb4ea62c4d6cf30e26fe9e010b9697bd553336e6c : Wed Nov 26 02:23:16 PM UTC 2025 +# 68b2fb3763882dddd54867769ad2b6cd2cdb25bba93d36fef2d8253d5149873d : Wed Nov 26 02:23:17 PM UTC 2025 +# d51d5d9ed2663194224596fb0c1a5e125f55647866a44ad9d3fc783a24ac504e : Wed Nov 26 02:23:17 PM UTC 2025 +# 80e714ae65fdc9d6725402629624fd7d11b0cafd876de397496304e2423d6ff7 : Wed Nov 26 02:23:17 PM UTC 2025 +# 2f93d4bade70efb1459923d14b1d5380565bd0313a9850b69c6b91c58451c205 : Wed Nov 26 02:23:17 PM UTC 2025 +# 72723e169663f43ac7d2ff2a0fbe919a24cb68c7508b2ad27f373dabd404ab99 : Wed Nov 26 02:23:17 PM UTC 2025 +# e9ffc14e92baccadc6d734630b3675c3d60ffbe2650135684af2fe409e297f40 : Wed Nov 26 02:23:17 PM UTC 2025 +# 563fc090ddace40cd0ec03f7812cd78aa4d946958ee5c74f9ad340b6ebb5b9d7 : Wed Nov 26 02:23:17 PM UTC 2025 +# 3753370103e9cddccf11de6915922147daf0430422c4708e8f9d8a794ee8ad47 : Wed Nov 26 02:23:17 PM UTC 2025 +# d798ed9489cdd977fa2155894edc27d3cb0137fcdb9454133448a242383e1384 : Wed Nov 26 02:23:17 PM UTC 2025 +# 6f9c85a92c040bd8a6c15d8242a5aadb25b6314fa3206dd40a380dfbd9671d5e : Wed Nov 26 02:23:17 PM UTC 2025 +# 5f63700878516370ecce4582e078865087cc7aa1646fe7fc06906d5f63ca9109 : Wed Nov 26 02:23:17 PM UTC 2025 +# 56d345d0c94ed0fce3b0ff6504d5215931133b3f30eb330b21f1855faedc77fa : Wed Nov 26 02:23:17 PM UTC 2025 + + +# Expenses + +psql -h thelio mainnet +select distinct + block.time + , encode(tx.hash, 'hex') as tx_hash + , tx.fee + from tx + inner join block + on block.id = tx.block_id + inner join tx_in + on tx_in.tx_in_id = tx.id + inner join tx_out + on (tx_out.tx_id, tx_out.index) = (tx_in.tx_out_id, tx_out_index) + where block.time >= '2025-11-26 12:00:00' + and tx_out.address = 'addr1qy9prvx8ufwutkwxx9cmmuuajaqmjqwujqlp9d8pvg6gupcvluken35ncjnu0puetf5jvttedkze02d5kf890kquh60sut9jg7' +order by 1, 2 +; +EOI + +# time | tx_hash | fee +# ---------------------+------------------------------------------------------------------+-------- +# 2025-11-26 13:34:05 | fa7c2496cff58610c92ee8fb0a8800d336e144d60e1e13155cc52c120e605bb7 | 251169 +# 2025-11-26 14:01:19 | 0ed21a6ff7e05561a73ebe454cbfc7bbea04c443529c23ec6440bb29724bcb4f | 241533 +# 2025-11-26 14:01:19 | 1f176c316231e138623364a4bed8574ceb070b2562c6867cf012e1c2cded6d7d | 241533 +# 2025-11-26 14:01:19 | 59b7d5965f7ccaf31c207999d48478ec112c2a8c1a18d076d56ecae14d6045af | 241533 +# 2025-11-26 14:01:19 | 5cc3dc20a744338a713709303eeae9fccc4b035e4b9b1aeaf483479125a7a030 | 241533 +# 2025-11-26 14:01:19 | 62f7aa82f8aa193c6a181ccb0ae050e037fa91e01a82acc09725a7ff2b4b5999 | 241533 +# 2025-11-26 14:01:19 | 6d71d94cffbffc9667925db20f13d4f060f67826fb3d541edbe79d86c58ea6d1 | 241533 +# 2025-11-26 14:01:19 | 711d440f3cacafe0db344e7065f60f7482d180326cf0387c6a625f16be0248da | 241533 +# 2025-11-26 14:01:19 | 8304148164ed0f943aa502173879bd66f0da18d22860c0b754acd9b894aa784d | 241533 +# 2025-11-26 14:01:19 | 860cb1697749d2ab49bca6219d50b05b2da2c4183cae32fa4ed3d2be8870fe70 | 241533 +# 2025-11-26 14:01:19 | 9161c5cd50f2fedc5e2c86ad17720b03f8cc232cee3cf39d073f6695da2697e7 | 241533 +# 2025-11-26 14:01:19 | 94124f0a7df8ad4b1cae4d374ba145d547bda5ebee44e6a767e955f649aeb593 | 241533 +# 2025-11-26 14:01:19 | 95960b004be8e5b889f1df1ec29356e061ebf9577b83a68a193d3f6aeb11b4ea | 241533 +# 2025-11-26 14:01:19 | 9ce69e0b5f63fdc9480f85a06977e86e2e1230b2815d7490de5192672c89e3cf | 241533 +# 2025-11-26 14:01:19 | a553692d0e5df1a8699f4de3bca2e2aad0dc2d7383c244a887d870c32aab5a1a | 241533 +# 2025-11-26 14:01:19 | aff3e9160b309eefdf05ce8755bb075929315b1cdb68e1456fae0c8f5e723636 | 241533 +# 2025-11-26 14:01:19 | c3db88205930be7012f0b37e64870d6f4817449f4de36c963cb01bd73bc78c5d | 241533 +# 2025-11-26 14:01:19 | d2c6825db389345be7be53bc34b6e77e76a46473608092075a7577aead94252b | 241533 +# 2025-11-26 14:01:19 | f30a474797b6f0ed878aca7b06c8895ccd24660b389045f097aeb07afc69fa97 | 241533 +# 2025-11-26 14:01:19 | fdec199a2d69145fe191498e3225b595e10d459a99a05253cfd6b333f6d27db6 | 241533 +# 2025-11-26 14:18:11 | 8ad72acb470abf3153d3c95026f253cd19a3c37531ace0ee55226edae73f841f | 290417 +# 2025-11-26 14:21:09 | 3a22614b95bea58c73152c28b360ecf42e24c90045fd8bff068de76c932415c1 | 224197 +# 2025-11-26 14:23:46 | 0f55de2cd1cc3354297c855eb4ea62c4d6cf30e26fe9e010b9697bd553336e6c | 543549 +# 2025-11-26 14:23:46 | 12be7f48a0bdd33a62df89c44b1ef6810d4d54ea26e7a4bf4c43e1fa3d8aa18f | 543549 +# 2025-11-26 14:23:46 | 315c821bd42e69fd03425aab4564408bcdf9ce0de6e8f551259011a8aaac650a | 543549 +# 2025-11-26 14:23:46 | 4906885ebf56d0806119f2d57128a9d20aa90867912a67f2faf6705be3febf6f | 543549 +# 2025-11-26 14:23:46 | 55b2dc844816545c834a97b4abd484e738dc08a6b1cfffc2e4209e7da1d2cc94 | 543549 +# 2025-11-26 14:23:46 | 68b2fb3763882dddd54867769ad2b6cd2cdb25bba93d36fef2d8253d5149873d | 543549 +# 2025-11-26 14:23:46 | 93fb26a1fde07afd41d86f2bb802dc7cd14827de5eac7094ab746dbdb77c2f06 | 543549 +# 2025-11-26 14:23:46 | d8343e735a6fb5512bdd68fa076525ae7815fb7acd649cd11d927a7186fb6b30 | 543549 +# 2025-11-26 14:23:46 | fa2a8d3824f0674f830889f2b1b0c9f998a610a7723c9a73cf7ca6b5b57f7f28 | 543549 +# 2025-11-26 14:23:47 | 2f93d4bade70efb1459923d14b1d5380565bd0313a9850b69c6b91c58451c205 | 543549 +# 2025-11-26 14:23:47 | 3753370103e9cddccf11de6915922147daf0430422c4708e8f9d8a794ee8ad47 | 543549 +# 2025-11-26 14:23:47 | 563fc090ddace40cd0ec03f7812cd78aa4d946958ee5c74f9ad340b6ebb5b9d7 | 543549 +# 2025-11-26 14:23:47 | 5f63700878516370ecce4582e078865087cc7aa1646fe7fc06906d5f63ca9109 | 543549 +# 2025-11-26 14:23:47 | 6f9c85a92c040bd8a6c15d8242a5aadb25b6314fa3206dd40a380dfbd9671d5e | 543549 +# 2025-11-26 14:23:47 | 72723e169663f43ac7d2ff2a0fbe919a24cb68c7508b2ad27f373dabd404ab99 | 543549 +# 2025-11-26 14:23:47 | 80e714ae65fdc9d6725402629624fd7d11b0cafd876de397496304e2423d6ff7 | 543549 +# 2025-11-26 14:23:47 | d51d5d9ed2663194224596fb0c1a5e125f55647866a44ad9d3fc783a24ac504e | 543549 +# 2025-11-26 14:23:47 | d798ed9489cdd977fa2155894edc27d3cb0137fcdb9454133448a242383e1384 | 543549 +# 2025-11-26 14:23:47 | e9ffc14e92baccadc6d734630b3675c3d60ffbe2650135684af2fe409e297f40 | 543549 +# 2025-11-26 14:24:05 | 56d345d0c94ed0fce3b0ff6504d5215931133b3f30eb330b21f1855faedc77fa | 543549 + diff --git a/post-cip/mempool-measurements/process-log.sh b/post-cip/mempool-measurements/process-log.sh index a7d807d11..a50db01e9 100755 --- a/post-cip/mempool-measurements/process-log.sh +++ b/post-cip/mempool-measurements/process-log.sh @@ -4,13 +4,34 @@ set -eo pipefail SCRIPT_DIR="$(dirname "${BASH_SOURCE[0]}")" -echo $'Region\tTimestamp\tTxId' > tx_times.tsv -echo $'Region\tTimestamp\tBlock\tSlot' > block_times.tsv + +( + echo $'Remote\tLongitude [deg]\tLatitude [deg]' + zcat reallyfreegeoip.jsonl.gz | jq -r '.ip + "\t" + (.longitude | tostring) + "\t" + (.latitude | tostring)' +) > reallyfreegeoip.tsv + + +echo $'Region\tTimestamp\tTxId' > tx-times.tsv +echo $'Region\tTimestamp\tBlock\tSlot' > block-times.tsv +echo $'Region\tTimestamp\tLocal\tRemote\tTxId 1\tTxId 2' > outbounds.tsv for region in eu-central-1 us-east-2 ap-northeast-1 do - sed -n -e '/cardano\.node\.Mempool.*"TraceMempoolAddedTx"/{s/^.* .\([0-9]\{4\}-[0-9]\{2\}-[0-9]\{2\} [0-9]\{2\}:[0-9]\{2\}:[0-9]\{2\}[^]]*\)].*("tx",Object (fromList \[\(.*\)]))]$/'"$region"'\t\1\t\2/;s/("txid",String "\(........\)")/\1/g;p}' "$region"/2025-*.log >> tx-times.tsv - sed -n -e '/cardano\.node\.ChainDB.*new tip:/{s/^.* .\([0-9]\{4\}-[0-9]\{2\}-[0-9]\{2\} [0-9]\{2\}:[0-9]\{2\}:[0-9]\{2\}[^]]*\)].*new tip: \(................................................................\) at slot \(.........\).*/'"$region"'\t\1\t\2\t\3/;p}' "$region"/2025-*.log >> block-times.tsv + zcat "$region"/2025-*.log.gz \ + | sed -n -e '/cardano\.node\.Mempool.*"TraceMempoolAddedTx"/{s/^.* .\([0-9]\{4\}-[0-9]\{2\}-[0-9]\{2\} [0-9]\{2\}:[0-9]\{2\}:[0-9]\{2\}[^]]*\)].*("tx",Object (fromList \[\(.*\)]))]$/'"$region"'\t\1\t\2/;s/("txid",String "\(........\)")/\1/g;p}' \ + >> tx-times.tsv + zcat "$region"/2025-*.log.gz \ + | sed -n -e '/cardano\.node\.ChainDB.*new tip:/{s/^.* .\([0-9]\{4\}-[0-9]\{2\}-[0-9]\{2\} [0-9]\{2\}:[0-9]\{2\}:[0-9]\{2\}[^]]*\)].*new tip: \(................................................................\) at slot \(.........\).*/'"$region"'\t\1\t\2\t\3/;p}'\ + >> block-times.tsv + zcat "$region"/2025-*.log.gz \ + | sed -E \ + -e '/cardano.node.TxOutbound:.*"TxSubmissionOutboundRecvMsgRequestTxs"/!d' \ + -e 's/^.*:cardano.node.TxOutbound:Info:.* .([[:digit:]]{4}-[[:digit:]]{2}-[[:digit:]]{2} [[:digit:]]{2}:[[:digit:]]{2}:[[:digit:]]{2})\.[[:digit:]]{2} UTC]/'"$region"'\t\1\t/' \ + -e 's/\t[^\t]*\("local",Object \(fromList \[\("addr",String "([[:digit:]]{1,3}\.[[:digit:]]{1,3}\.[[:digit:]]{1,3}\.[[:digit:]]{1,3})"\),\("port",String "([[:digit:]]{1,5})"\)\]\)\)/\t\1:\2\t/' \ + -e 's/\t,\("remote",Object \(fromList \[\("addr",String "([[:digit:]]{1,3}\.[[:digit:]]{1,3}\.[[:digit:]]{1,3}\.[[:digit:]]{1,3})"\),\("port",String "([[:digit:]]{1,5})"\)\]\)\)/\t\1:\2\t/' \ + -e 's/\t[^\t]*\("txIds",String "\[HardForkGenTxId \{getHardForkGenTxId = S \(S \(S \(S \(S \(S \(Z \(WrapGenTxId \{unwrapGenTxId = txid: TxId \{unTxId = SafeHash \\"([[:xdigit:]]{64})\\"\}\}\)\)\)\)\)\)\)\}\]"\)\]/\t\1\t/' \ + -e 's/\t[^\t]*\("txIds",String "\[HardForkGenTxId \{getHardForkGenTxId = S \(S \(S \(S \(S \(S \(Z \(WrapGenTxId \{unwrapGenTxId = txid: TxId \{unTxId = SafeHash \\"([[:xdigit:]]{64})\\"\}\}\)\)\)\)\)\)\)\},HardForkGenTxId \{getHardForkGenTxId = S \(S \(S \(S \(S \(S \(Z \(WrapGenTxId \{unwrapGenTxId = txid: TxId \{unTxId = SafeHash \\"([[:xdigit:]]{64})\\"\}\}\)\)\)\)\)\)\)\}\]"\)\]/\t\1\t\2/' \ + >> outbounds.tsv done psql -f "$SCRIPT_DIR/process-log.sql" mainnet diff --git a/post-cip/mempool-measurements/process-log.sql b/post-cip/mempool-measurements/process-log.sql index 44a984972..e868703eb 100644 --- a/post-cip/mempool-measurements/process-log.sql +++ b/post-cip/mempool-measurements/process-log.sql @@ -22,6 +22,16 @@ create temporary table tx_times ( \copy tx_times from 'tx-times.tsv' csv header delimiter E'\t' +drop table if exists slot_range; + +create temporary table slot_range as +select + min(slot_no) as min_slot_no + , max(slot_no) as max_slot_no + from block_times +; + + drop table if exists mempool_vs_blocks; create temporary table mempool_vs_blocks as @@ -37,7 +47,8 @@ select , extract(epoch from (tx_times.logged - xref.time)) as mempool_minus_slot , extract(epoch from (block_times.logged - xref.time)) as block_minus_slot , case when coalesce(tx_times.logged < block_times.logged, false) then 'TRUE' else 'FALSE' end as tx_seen_first - from ( + from slot_range + inner join ( select slot_no , time @@ -49,7 +60,8 @@ select on tx.block_id = block.id where block.slot_no >= (select min(slot_no) from block_times) ) xref - inner join block_times + on xref.slot_no between slot_range.min_slot_no and slot_range.max_slot_no + left join block_times using (block_hash) left join tx_times using (region, tx_hash8) @@ -68,6 +80,7 @@ select , tx_seen_first , count(*) as tx_count from mempool_vs_blocks + where region is not null group by region, slot_no, tx_seen_first order by 1, 2, 3 ; @@ -91,6 +104,7 @@ select , tx_seen_first , count(*) as tx_count from mempool_vs_blocks + where region is not null group by region, date_trunc('hour', block_logged), tx_seen_first ) a inner join ( @@ -99,6 +113,7 @@ select , date_trunc('hour', block_logged) as hour , count(*) as tx_total from mempool_vs_blocks + where region is not null group by region, date_trunc('hour', block_logged) ) b using (region, hour) @@ -108,13 +123,128 @@ order by 1, 2, 3 \copy mempool_hourly to 'mempool-hourly.tsv' csv header delimiter E'\t' +drop table if exists canary; + +create temporary table canary as +select + tx_out.address + , encode(tx.hash, 'hex') as tx_hash + , cast(tx_metadata.json ->> 'absolute_slot' as word63type) as sub_slot_no + , block.slot_no - cast(tx_metadata.json ->> 'absolute_slot' as word63type) as delay + from tx_out + inner join tx_in + on tx_out.tx_id = tx_in.tx_out_id + inner join tx + on (tx.id, tx_in.tx_out_index) = (tx_in.tx_in_id, tx_out.index) + inner join block + on tx.block_id = block.id + inner join slot_range + on block.slot_no between slot_range.min_slot_no and slot_range.max_slot_no + inner join tx_metadata + on tx_metadata.tx_id = tx.id + and tx_out.address in ( + 'addr1vy0zwnn5yj4h3s25xuere4h38np4z6gcng2mdgxg0mapxagl6x66d' + , 'addr1vxpvhtj5vvcqmf9td3vlvv4vza9nnuqrmkc42cnd42dg7fsz0v99d' + , 'addr1vx7gvyvy2r7mycya22f3x88wlgra2552uxm8xz2g0v3g6yccgyydv' + , 'addr1vx2uvrm53dak4x3u0txy98r2jpg2nhy0n82vk8a6v9wmk4s8up888' + ) +order by time +; + +\copy canary to 'canary.tsv' csv header delimiter E'\t' + + +drop table if exists congestions; + +create temporary table congestions as +select distinct + case + when block.time between '2025-11-26 14:00:00' and '2025-11-26 14:02:00' then '2025-11-26 14:01:16' + when block.time between '2025-11-26 14:22:00' and '2025-11-26 14:25:00' then '2025-11-26 14:23:16' + end :: timestamp without time zone as time + , encode(tx.hash, 'hex') as tx_hash + from tx + inner join block + on block.id = tx.block_id + inner join tx_in + on tx_in.tx_in_id = tx.id + inner join tx_out + on (tx_out.tx_id, tx_out.index) = (tx_in.tx_out_id, tx_out_index) + where tx_out.address = 'addr1qy9prvx8ufwutkwxx9cmmuuajaqmjqwujqlp9d8pvg6gupcvluken35ncjnu0puetf5jvttedkze02d5kf890kquh60sut9jg7' + and ( + block.time between '2025-11-26 14:00:00' and '2025-11-26 14:02:00' + or block.time between '2025-11-26 14:22:00' and '2025-11-26 14:25:00' + ) +order by 1, 2 +; + +\copy congestions to 'congestions.tsv' csv header delimiter E'\t' + + +drop table if exists outbounds_denorm; + +create temporary table outbounds_denorm ( + region varchar(30) not null +, logged timestamp without time zone not null +, local varchar(21) not null +, remote varchar(21) not null +, tx_hash_1 char(64) not null +, tx_hash_2 char(64) +); + +\copy outbounds_denorm from 'outbounds.tsv' csv header delimiter E'\t' + + +drop table if exists outbounds; + +create temporary table outbounds as +select region, logged, local, remote, tx_hash_1 as tx_hash from outbounds_denorm +union all +select region, logged, local, remote, tx_hash_2 from outbounds_denorm where tx_hash_2 is not null +; + +update outbounds + set local = '18.176.178.121:3001' + where region = 'ap-northeast-1' +; + +update outbounds + set local = '52.28.55.26:3001' + where region = 'eu-central-1' +; + +update outbounds + set local = '18.218.69.112:3001' + where region = 'us-east-2' +; + +\copy outbounds to 'outbounds.tsv' csv header delimiter E'\t' + + +\copy (select split_part(remote, ':', 1) from outbounds union select split_part(local, ':', 1) from outbounds) to 'remotes.tsv' + + +drop table if exists remote_geo; + +create temporary table remote_geo ( + remote varchar(21) not null +, longitude real not null +, latitude real not null +); + +-- Via `https://reallyfreegeoip.org/json/` +\copy remote_geo from 'reallyfreegeoip.tsv' csv header delimiter E'\t' + + select region , tx_seen_first , count(*) as "count" - , (count(*) + 0.0) / (select count(*) from mempool_vs_blocks z where z.region = mempool_vs_blocks.region and block_logged >= now() - interval '6 hours') as "fraction" + , (count(*) + 0.0) + / + (select count(*) from mempool_vs_blocks z where z.region = mempool_vs_blocks.region and slot_no >= 172210527) as "fraction" from mempool_vs_blocks - where block_logged >= now() - interval '6 hours' + where region is not null and slot_no >= 172210527 group by region, tx_seen_first order by 1 ;