main_MCMC_double_cipher.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "from src.CipherBreaker import CipherBreaker\n",
    "from src.CipherUtils import (\n",
    "    TextDecoder,\n",
    "    TextEncoder,\n",
    "    CipherGenerator,\n",
    "    TextPreProcessor,\n",
    ")\n",
    "from src.ProbabilityMatrix import ProbabilityMatrix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "# create instances of my beautiful classes\n",
    "\n",
    "cipher_generator = CipherGenerator()\n",
    "preprocess = TextPreProcessor()\n",
    "text_encoder = TextEncoder()\n",
    "text_decoder = TextDecoder()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "# List of text file paths to build our corpus (where we learn the transitions probs)\n",
    "\n",
    "file_paths = [\n",
    "    \"texts/moby_dick.txt\",\n",
    "    \"texts/shakespeare.txt\",\n",
    "    \"texts/james-joyce-a-portrait-of-the-artist-as-a-young-man.txt\",\n",
    "    \"texts/james-joyce-dubliners.txt\",\n",
    "    \"texts/james-joyce-ulysses.txt\",\n",
    "]\n",
    "\n",
    "texts = []\n",
    "for file_path in file_paths:\n",
    "    with open(file_path, \"r\") as file:\n",
    "        texts.append(file.read())\n",
    "\n",
    "corpus = \"\".join(texts)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "# preprocess the text, removing extra-characters\n",
    "\n",
    "corpus = preprocess.lower(corpus)\n",
    "unknown_chars = preprocess.unknown_chars(corpus)\n",
    "# print(unknown_chars)\n",
    "corpus = preprocess.remove_unknown_chars(corpus, unknown_chars=unknown_chars)\n",
    "corpus = preprocess.remove_additional_spaces(corpus)\n",
    "\n",
    "preprocess.save_text(\n",
    "    corpus\n",
    ")  # save text after preprocessing inside text_preprocessed.txt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "# compute the transition probs\n",
    "\n",
    "probability_matrix = ProbabilityMatrix(corpus)\n",
    "probability_matrix.compute_probability_table()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "probability_matrix.save_all_2_chars()\n",
    "probability_matrix.save_probability_table()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "# some text to try\n",
    "\n",
    "text = \"There were better sense in the sad mechanic exercise of determining the reason of its absence where it is not. In the novels of the last hundred years there are vast numbers of young ladies with whom it might be a pleasure to fall in love; there are at least five with whom, as it seems to me, no man of taste and spirit can help doing so.\"\n",
    "# text = \"I do not believe a word of it, my dear. If he had been so very agreeable, he would have talked to Mrs. Long. But I can guess how it was\"\n",
    "# text = \"Your plan is a good one,” replied Elizabeth, “where nothing is in question but the desire of being well married; and if I were determined to get a rich husband, or any husband, I dare say I should adopt it. But these are not Jane’s feelings\"\n",
    "# text = \"she is not acting by design. As yet she cannot even be certain of the degree of her own regard, nor of its reasonableness. She has known him only a fortnight. She danced four dances with him at Meryton; she saw him one morning at his own house, and has since dined in company with him four times.\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Original Text: there were better sense in the sad mechanic exercise of determining the reason of its absence where it is not in the novels of the last hundred years there are vast numbers of young ladies with whom it might be a pleasure to fall in love there are at least five with whom as it seems to me no man of taste and spirit can help doing so\n",
      "Encoded Text: aixhm fxhm kmhhxh wmiwm oi aqm wxj jxfixeyf mdmlfowx no txamlqoeyem aix lmxwne eo oaw xkwxefx rixhx oa ow eeh ye aix iedmbw nn aim bzwh ivethmt rxxlw hqmlx zlx pxwa ivjkxlw eo revis cztoxw fyhi rqeq oh josih km x bbxxwvhm he ozcb oi bndx aimlm zhx xh bxxwa nodx ryhi riej zw ya wmxjw hn qm en qzi eo axwax zit wbyloa pxi ixcg jeyes we\n",
      "Decoded Text: zhetg wetg xgttet sghsg fh zmg sed dewheniw gvgrwfse of kezgrmfning zhe rgeson nf fzs exsenwe yhete fz fs nnt in zhe hnvgps oo zhg past hunktgk yeers tmgre are cesz hudxers nf ynuhj lakfes with ymnm ft dfjht xg e ppeesutg tn falp fh pove zhgrg ate et peesz ofve yith yhnd as iz sgeds to mg no mah nf zesze ahk spirfz ceh helq dninj sn\n"
     ]
    }
   ],
   "source": [
    "# encode and decode a sample text with a generated cipher\n",
    "\n",
    "text = preprocess.lower(text)\n",
    "text = preprocess.remove_unknown_chars(\n",
    "    text, unknown_chars=preprocess.unknown_chars(text)\n",
    ")\n",
    "text = preprocess.remove_additional_spaces(text)\n",
    "\n",
    "\n",
    "cipher1 = cipher_generator.generate_cipher()\n",
    "cipher2 = cipher_generator.generate_cipher()\n",
    "\n",
    "encoded_text = text_encoder.encode_text_double_cipher(text, cipher1, cipher2)\n",
    "\n",
    "decoded_text = text_decoder.decode_text(\n",
    "    encoded_text, cipher1\n",
    ")  #  not work with double cipher... given cipher1 as encoding just to see...\n",
    "\n",
    "print(\"Original Text:\", text)\n",
    "print(\"Encoded Text:\", encoded_text)\n",
    "print(\"Decoded Text:\", decoded_text)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iter 0: swavk lavk ckvvav gkwgk dw syk gan nalwatul kokeldga bd zaskeydtutk swa ekagbt td dsg acgatla mwava ds dg ttv ut swa wtokpg bb swk pqgv wxtzvkz maaeg vykea qea fags wxncaeg td mtxwh rqzdag luvw myty dv ndhwv ck a ppaagxvk vt dqrp dw pboa swkek qva av paags bdoa muvw mwtn qg us gkang vb yk tb yqw td sagsa qwz gpueds faw wari ntuth gt\n",
      "Iter 100: diels hels bsllel rsirs oi dys rem mehienah susthore fo kedstyonans die tserfn no odr ebrenhe wiele od or nnl an die inuspr ff dis pcrl ignklsk weetr lyste cte jerd igmbetr no wngiv xckoer hali wyny ol movil bs e ppeergls ln ocxp oi pfue dists cle el peerd foue wali winm cr ad rsemr lf ys nf yci no derde cik rpatod jei iexz mnanv rn\n",
      "Iter 200: diens hens bsnnen rsirs oi dys rem mehielah susthore fo kedstyolals die tserfl lo odr ebrelhe wiene od or lln al die iluspr ff dis pcrn iglknsk weetr nyste cte jerd igmbetr lo wlgiv xckoer hani wyly on movin bs e ppeergns nl ocxp oi pfue dists cne en peerd foue wani wilm cr ad rsemr nf ys lf yci lo derde cik rpatod jei iexq mlalv rl\n",
      "Iter 300: diels wels bsllel rsirs ai dys rem mewieonw sustware fa kedstyaonos die tserfo oa adr ebreowe hiele ad ar ool no die iouspr ff dis pcrl igoklsk heetr lyste cte jerd igmbetr oa hogiv xckaer wnli hyoy al mavil bs e ppeergls lo acxp ai pfue dists cle el peerd faue hnli hiom cr nd rsemr lf ys of yci oa derde cik rpntad jei iexq monov ro\n",
      "Iter 400: diels wels bsllel rsirs ai dys rem mewieonw sustware fa kedstyaonos die tserfo oa adr ebreowe hiele ad ar ool no die iouspr ff dis pcrl igoklsk heetr lyste cte jerd igmbetr oa hogiv xckaer wnli hyoy al mavil bs e ppeergls lo acxp ai pfue dists cle el peerd faue hnli hiom cr nd rsemr lf ys of yci oa derde cik rpntad jei iexq monov ro\n"
     ]
    }
   ],
   "source": [
    "# break the cipher with MCMC using only one starting point\n",
    "cipher_breaker = CipherBreaker(\n",
    "    cipher_generator=cipher_generator,\n",
    "    ciphered_text=encoded_text,\n",
    "    probability_table=probability_matrix.probability_table,\n",
    ")\n",
    "\n",
    "cipher_breaker.break_cipher(iterations=100000, print_interval=100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[('diels wels bsllel rsirs ai dys rem mewieonw sustware fa kedstyaonos die tserfo oa adr ebreowe hiele ad ar ool no die iouspr ff dis pcrl igoklsk heetr lyste cte jerd igmbetr oa hogiv xckaer wnli hyoy al mavil bs e ppeergls lo acxp ai pfue dists cle el peerd faue hnli hiom cr nd rsemr lf ys of yci oa derde cik rpntad jei iexz monov ro',\n",
       "  [46082, -1962.6378012615196]),\n",
       " ('diels wels bsllel rsirs ai dys rem mewieonw sustware fa kedstyaonos die tserfo oa adr ebreowe hiele ad ar ool no die iouspr ff dis pcrl igoklsk heetr lyste cte jerd igmbetr oa hogiv xckaer wnli hyoy al mavil bs e ppeergls lo acxp ai pfue dists cle el peerd faue hnli hiom cr nd rsemr lf ys of yci oa derde cik rpntad jei iexq monov ro',\n",
       "  [46020, -1962.7173133244476]),\n",
       " ('diels hels bsllel rsirs ai dys rem mehieonh susthare fa kedstyaonos die tserfo oa adr ebreohe wiele ad ar ool no die iouspr ff dis pcrl igoklsk weetr lyste cte jerd igmbetr oa wogiv xckaer hnli wyoy al mavil bs e ppeergls lo acxp ai pfue dists cle el peerd faue wnli wiom cr nd rsemr lf ys of yci oa derde cik rpntad jei iexz monov ro',\n",
       "  [47377, -1964.832614250033]),\n",
       " ('diels hels bsllel rsirs ai dys rem mehieonh susthare fa kedstyaonos die tserfo oa adr ebreohe wiele ad ar ool no die iouspr ff dis pcrl igoklsk weetr lyste cte jerd igmbetr oa wogiv xckaer hnli wyoy al mavil bs e ppeergls lo acxp ai pfue dists cle el peerd faue wnli wiom cr nd rsemr lf ys of yci oa derde cik rpntad jei iexq monov ro',\n",
       "  [47535, -1964.912126312961]),\n",
       " ('diels hels bsllel rsirs oi dys rem mehienah susthore fo kedstyonans die tserfn no odr ebrenhe wiele od or nnl an die inuspr ff dis pcrl ignklsk weetr lyste cte jerd igmbetr no wngiv xckoer hali wyny ol movil bs e ppeergls ln ocxp oi pfue dists cle el peerd foue wali winm cr ad rsemr lf ys nf yci no derde cik rpatod jei iexz mnanv rn',\n",
       "  [3181, -1966.2022388738994]),\n",
       " ('diels hels bsllel rsirs oi dys rem mehienah susthore fo kedstyonans die tserfn no odr ebrenhe wiele od or nnl an die inuspr ff dis pcrl ignklsk weetr lyste cte jerd igmbetr no wngiv xckoer hali wyny ol movil bs e ppeergls ln ocxp oi pfue dists cle el peerd foue wali winm cr ad rsemr lf ys nf yci no derde cik rpatod jei iexq mnanv rn',\n",
       "  [3518, -1966.2817509368274]),\n",
       " ('diels wels bsllel rsirs ai dus rem mewieonw systware fa kedstuaonos die tserfo oa adr ebreowe hiele ad ar ool no die ioyspr ff dis pcrl igoklsk heetr luste cte jerd igmbetr oa hogiv xckaer wnli huou al mavil bs e ppeergls lo acxp ai pfye dists cle el peerd faye hnli hiom cr nd rsemr lf us of uci oa derde cik rpntad jei iexz monov ro',\n",
       "  [86934, -1967.4956903154118]),\n",
       " ('diels wels bsllel rsirs ai dus rem mewieonw systware fa kedstuaonos die tserfo oa adr ebreowe hiele ad ar ool no die ioyspr ff dis pcrl igoklsk heetr luste cte jerd igmbetr oa hogiv xckaer wnli huou al mavil bs e ppeergls lo acxp ai pfye dists cle el peerd faye hnli hiom cr nd rsemr lf us of uci oa derde cik rpntad jei iexq monov ro',\n",
       "  [45614, -1967.5752023783398]),\n",
       " ('diels wels bsllel rsirs oi dys rem mewienaw sustwore fo kedstyonans die tserfn no odr ebrenwe hiele od or nnl an die inuspr ff dis pcrl ignklsk heetr lyste cte jerd igmbetr no hngiv xckoer wali hyny ol movil bs e ppeergls ln ocxp oi pfue dists cle el peerd foue hali hinm cr ad rsemr lf ys nf yci no derde cik rpatod jei iexz mnanv rn',\n",
       "  [15005, -1968.1061572522565]),\n",
       " ('diels wels bsllel rsirs oi dys rem mewienaw sustwore fo kedstyonans die tserfn no odr ebrenwe hiele od or nnl an die inuspr ff dis pcrl ignklsk heetr lyste cte jerd igmbetr no hngiv xckoer wali hyny ol movil bs e ppeergls ln ocxp oi pfue dists cle el peerd foue hali hinm cr ad rsemr lf ys nf yci no derde cik rpatod jei iexq mnanv rn',\n",
       "  [15259, -1968.1856693151844])]"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cipher_breaker.extract_best(\n",
    "    n_extract=10, return_likelihood=True\n",
    ")  # Extract the best 10 decoded messages along with their likelihood"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'diels wels bsllel rsirs ai dys rem mewieonw sustware fa kedstyaonos die tserfo oa adr ebreowe hiele ad ar ool no die iouspr ff dis pcrl igoklsk heetr lyste cte jerd igmbetr oa hogiv xckaer wnli hyoy al mavil bs e ppeergls lo acxp ai pfue dists cle el peerd faue hnli hiom cr nd rsemr lf ys of yci oa derde cik rpntad jei iexz monov ro'"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cipher_breaker.extract_best(n_extract=10, return_likelihood=True)[0][0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "MCMC accuracy: 0.3532934131736527\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "\n",
    "print(\n",
    "    \"MCMC accuracy:\",\n",
    "    np.mean(\n",
    "        np.array(\n",
    "            list(\n",
    "                cipher_breaker.extract_best(n_extract=10, return_likelihood=True)[0][0]\n",
    "            )\n",
    "        )\n",
    "        == np.array(list(text))\n",
    "    ),\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iter 0 of start 1: wgmbk dmbk akbbmb vkgvk xg wuk vmr rmdgmeyd klkqdxvm nx omwkquxeyek wgm qkmvne ex xwv mavmedm igmbm xw xv eeb ye wgm gelksv nn wgk shvb gpeobko immqv bukqm hqm jmvw gpramqv ex iepgt fhoxmv dybg iueu xb rxtgb ak m ssmmvpbk be xhfs xg snlm wgkqk hbm mb smmvw nxlm iybg iger hv yw vkmrv bn uk en uhg ex wmvwm hgo vsyqxw jmg gmfc reyet ve\n",
      "Iter 100 of start 1: diers pers wsrrer nsins ai dys neh hepietop sksmpane la fedsmyatots die msenlt ta adn ewnetpe biere ad an ttr ot die itksgn ll dis gunr ictfrsf beemn rysme ume vend ichwemn ta btciz qufaen pori byty ar hazir ws e ggeencrs rt auqg ai glke disms ure er geend lake bori bith un od nsehn rl ys tl yui ta dende uif ngomad vei ieqx htotz nt\n",
      "Iter 200 of start 1: drets pets wsttet nsrns ir dys neh hepreaup sksmpine li fedsmyiauas dre msenla ai idn ewneape brete id in aat ua dre rakscn ll drs cont rgaftsf beemn tysme ome jend rghwemn ai bagrv xofien putr byay it hivrt ws e cceengts ta ioxc ir clke drsms ote et ceend like butr brah on ud nsehn tl ys al yor ai dende orf ncumid jer rexq hauav na\n",
      "Iter 300 of start 1: dreto peto hottet norno ar dyo new wepresup ovompane la fedomyasuso dre moenls sa adn ehnespe brete ad an sst us dre rsvocn ll dro cint rgsftof beemn tyome ime jend rgwhemn sa bsgrk xifaen putr bysy at wakrt ho e cceengto ts aixc ar clve dromo ite et ceend lave butr brsw in ud noewn tl yo sl yir sa dende irf ncumad jer rexz wsusk ns\n",
      "Iter 400 of start 1: dreto peto wottet norno ar dyo neh hepresup ovompane la fedomyasuso dre moenls sa adn ewnespe brete ad an sst us dre rsvogn ll dro gint rcsftof beemn tyome ime jend rchwemn sa bscrk xifaen putr bysy at hakrt wo e ggeencto ts aixg ar glve dromo ite et geend lave butr brsh in ud noehn tl yo sl yir sa dende irf ngumad jer rexz hsusk ns\n",
      "Iter 500 of start 1: dreto peto wottet norno ar dyo neh hepresup ovompane la cedomyasuso dre moenls sa adn ewnespe brete ad an sst us dre rsvofn ll dro fint rgsctoc beemn tyome ime jend rghwemn sa bsgrk xicaen putr bysy at hakrt wo e ffeengto ts aixf ar flve dromo ite et feend lave butr brsh in ud noehn tl yo sl yir sa dende irc nfumad jer rexz hsusk ns\n",
      "Iter 600 of start 1: dreto peto wottet norno ar dyo neh hepresup ovompane la fedomyasuso dre moenls sa adn ewnespe brete ad an sst us dre rsvogn ll dro gint rcsftof beemn tyome ime jend rchwemn sa bscrk xifaen putr bysy at hakrt wo e ggeencto ts aixg ar glve dromo ite et geend lave butr brsh in ud noehn tl yo sl yir sa dende irf ngumad jer rexz hsusk ns\n",
      "Iter 700 of start 1: dreto peto wottet norno ar dyo neh hepresup ovompane la fedomyasuso dre moenls sa adn ewnespe brete ad an sst us dre rsvocn ll dro cint rgsftof beemn tyome ime jend rghwemn sa bsgrk xifaen putr bysy at hakrt wo e cceengto ts aixc ar clve dromo ite et ceend lave butr brsh in ud noehn tl yo sl yir sa dende irf ncumad jer rexq hsusk ns\n",
      "Iter 800 of start 1: dreto peto wottet norno ar dyo neh hepresup ovompane la cedomyasuso dre moenls sa adn ewnespe brete ad an sst us dre rsvofn ll dro fint rgsctoc beemn tyome ime jend rghwemn sa bsgrk xicaen putr bysy at hakrt wo e ffeengto ts aixf ar flve dromo ite et feend lave butr brsh in ud noehn tl yo sl yir sa dende irc nfumad jer rexz hsusk ns\n",
      "Iter 900 of start 1: dreto peto wottet norno ar dyo neh hepresup ovompane la fedomyasuso dre moenls sa adn ewnespe brete ad an sst us dre rsvogn ll dro gint rcsftof beemn tyome ime jend rchwemn sa bscrk xifaen putr bysy at hakrt wo e ggeencto ts aixg ar glve dromo ite et geend lave butr brsh in ud noehn tl yo sl yir sa dende irf ngumad jer rexz hsusk ns\n",
      "Iter 0 of start 2: dorpy srpy mypprp gyogy fo dly grb brsorkas ycyvsfgr if qrdyvlfkaky dor vyrgik kf fdg rmgrksr jorpr fd fg kkp ak dor okcyzg ii doy ztgp oekqpyq jrrvg plyvr tvr xrgd oebmrvg kf jkeon htqfrg sapo jlkl fp bfnop my r zzrrgepy pk fthz fo zicr doyvy tpr rp zrrgd ifcr japo jokb tg ad gyrbg pi ly ki lto kf drgdr toq gzavfd xro orhu bkakn gk\n",
      "Iter 100 of start 2: maret pret fteere otaot ia mnt ory yrparslp tctupior di hrmtunislst mar utrods si imo rforspr warer im io sse ls mar asctbo dd mat bgoe aksheth wrruo entur gur jrom akyfruo si wskav qghiro plea wnsn ie yivae ft r bbrroket es igqb ia bdcr matut ger re brrom dicr wlea wasy go lm otryo ed nt sd nga si mromr gah obluim jra arqx yslsv os\n",
      "Iter 200 of start 2: morit grit ftiiri etoet so mnt erd drgorahg tctugser ls yrmtunsahat mor utrela as sme rferagr worir sm se aai ha mor oactpe ll mot pbei ovayity wrrue intur bur zrem ovdfrue as wavok jbysre ghio wnan si dskoi ft r pprrevit ia sbjp so plcr motut bir ri prrem lscr whio woad be hm etrde il nt al nbo as mremr boy ephusm zro orjx dahak ea\n",
      "Iter 300 of start 2: dorit grit ptiiri etoet so dnt erm mrgorahg tftugser ls yrdtunsahat dor utrela as sde rperagr worir sd se aai ha dor oaftce ll dot cbei ovayity wrrue intur bur qred ovmprue as wavok jbysre ghio wnan si mskoi pt r ccrrevit ia sbjc so clfr dotut bir ri crred lsfr whio woam be hd etrme il nt al nbo as dredr boy echusd qro orjx mahak ea\n",
      "Iter 400 of start 2: dorit grit ptiiri etoet no dst erm mrgorahg tftugner ln yrdtusnahat dor utrela an nde rperagr worir nd ne aai ha dor oaftce ll dot cbei ovayity wrrue istur bur qred ovmprue an wavok jbynre ghio wsas ni mnkoi pt r ccrrevit ia nbjc no clfr dotut bir ri crred lnfr whio woam be hd etrme il st al sbo an dredr boy echund qro orjz mahak ea\n",
      "Iter 500 of start 2: herit grit ctiiri oteot se hnt ord drgeralg tptugsor ms yrhtunsalat her utroma as sho rcoragr werir sh so aai la her eaptfo mm het fboi evayity wrruo intur bur qroh evdcruo as wavek jbysro glie wnan si dskei ct r ffrrovit ia sbjf se fmpr hetut bir ri frroh mspr wlie wead bo lh otrdo im nt am nbe as hrohr bey oflush qre erjx dalak oa\n",
      "Iter 600 of start 2: heoir loir friioi tretr se hpr tow woleoabl rgrulsto ds yohrupsabar heo urotda as sht oftoalo meoio sh st aai ba heo eagrnt dd her ncti evayiry moout ipruo cuo joth evwfout as mavex kcysot lbie mpap si wsxei fr o nnootvir ia sckn se ndgo herur cio oi nooth dsgo mbie meaw ct bh trowt id pr ad pce as hotho cey tnbush joe eokz wabax ta\n",
      "Iter 700 of start 2: heodr godr frddod tretr se hur tow wogeoalg rprigsto ms yohriusalar heo irotma as sht oftoago beodo sh st aad la heo eaprnt mm her nctd evaydry booit durio cio joth evwfoit as bavez kcysot glde buau sd wszed fr o nnootvdr da sckn se nmpo herir cdo od nooth mspo blde beaw ct lh trowt dm ur am uce as hotho cey tnlish joe eokx walaz ta\n",
      "Iter 800 of start 2: heodr godr frddod tretr se hur tow wogeoalg rprigsto ms yohriusalar heo irotma as sht oftoago beodo sh st aad la heo eaprnt mm her nctd exaydry booit durio cio joth exwfoit as baxev kcysot glde buau sd wsved fr o nnootxdr da sckn se nmpo herir cdo od nooth mspo blde beaw ct lh trowt dm ur am uce as hotho cey tnlish joe eokz walav ta\n",
      "Iter 900 of start 2: heodr godr frddod tretr se hur tow wogeoang rprigsto ms yohriusanar heo irotma as sht oftoago beodo sh st aad na heo eaprlt mm her lctd ezaydry booit durio cio joth ezwfoit as bazev kcysot gnde buau sd wsved fr o llootzdr da sckl se lmpo herir cdo od looth mspo bnde beaw ct nh trowt dm ur am uce as hotho cey tlnish joe eokx wanav ta\n",
      "Iter 1000 of start 2: heolr molr frllol tretr se hir top pomeoabm rgrumsto ds yohruisabar heo urotda as sht oftoamo weolo sh st aal ba heo eagrnt dd her nctl ezaylry woout liruo cuo joth ezpfout as wazev kcysot mble wiai sl psvel fr o nnootzlr la sckn se ndgo herur clo ol nooth dsgo wble weap ct bh tropt ld ir ad ice as hotho cey tnbush joe eokx pabav ta\n",
      "Iter 0 of start 3: fdhgq ihgq cqgghg yqdyq nd fxq yhe ehidhkwi qsqoinyh pn mhfqoxnkwkq fdh oqhypk kn nfy hcyhkih udhgh nf ny kkg wk fdh dksqvy pp fdq vryg dtkmgqm uhhoy gxqoh roh ahyf dtechoy kn uktdl brmnhy iwgd uxkx ng enldg cq h vvhhytgq gk nrbv nd vpsh fdqoq rgh hg vhhyf pnsh uwgd udke ry wf yqhey gp xq kp xrd kn fhyfh rdm yvwonf ahd dhbj ekwkl yk\n",
      "Iter 100 of start 3: treno peno fonnen sorso ir tyo seh heprealp ovompise di ketomyialao tre moesda ai its efseape brene it is aan la tre ravocs dd tro cusn rwaknok beems nyome ume jest rwhfems ai bawrg xukies plnr byay in higrn fo e cceeswno na iuxc ir cdve tromo une en ceest dive blnr brah us lt soehs nd yo ad yur ai teste urk sclmit jer rexq halag sa\n",
      "Iter 200 of start 3: dreto peto wottet norno ar dyo neh hepresup ovompane la fedomyasuso dre moenls sa adn ewnespe brete ad an sst us dre rsvogn ll dro gint rcsftof beemn tyome ime jend rchwemn sa bscrk xifaen putr bysy at hakrt wo e ggeencto ts aixg ar glve dromo ite et geend lave butr brsh in ud noehn tl yo sl yir sa dende irf ngumad jer rexz hsusk ns\n",
      "Iter 300 of start 3: dreto peto wottet norno ar dyo neh hepresup ovompane la fedomyasuso dre moenls sa adn ewnespe brete ad an sst us dre rsvogn ll dro gint rcsftof beemn tyome ime jend rchwemn sa bscrk xifaen putr bysy at hakrt wo e ggeencto ts aixg ar glve dromo ite et geend lave butr brsh in ud noehn tl yo sl yir sa dende irf ngumad jer rexz hsusk ns\n",
      "Iter 400 of start 3: dreto peto wottet norno ar dyo neh hepresup ovompane la fedomyasuso dre moenls sa adn ewnespe brete ad an sst us dre rsvogn ll dro gint rcsftof beemn tyome ime jend rchwemn sa bscrk xifaen putr bysy at hakrt wo e ggeencto ts aixg ar glve dromo ite et geend lave butr brsh in ud noehn tl yo sl yir sa dende irf ngumad jer rexz hsusk ns\n",
      "Iter 500 of start 3: dreto peto wottet norno ar dyo neh hepresup ovompane la fedomyasuso dre moenls sa adn ewnespe brete ad an sst us dre rsvocn ll dro cint rgsftof beemn tyome ime jend rghwemn sa bsgrk xifaen putr bysy at hakrt wo e cceengto ts aixc ar clve dromo ite et ceend lave butr brsh in ud noehn tl yo sl yir sa dende irf ncumad jer rexq hsusk ns\n",
      "Iter 600 of start 3: dreto peto wottet norno ar dyo neh hepresup ovompane la fedomyasuso dre moenls sa adn ewnespe brete ad an sst us dre rsvocn ll dro cint rgsftof beemn tyome ime jend rghwemn sa bsgrk xifaen putr bysy at hakrt wo e cceengto ts aixc ar clve dromo ite et ceend lave butr brsh in ud noehn tl yo sl yir sa dende irf ncumad jer rexq hsusk ns\n",
      "Iter 700 of start 3: dreto peto wottet norno ir dyo neh hepresup ovompine li fedomyisuso dre moenls si idn ewnespe brete id in sst us dre rsvogn ll dro gant rcsftof beemn tyome ame jend rchwemn si bscrk xafien putr bysy it hikrt wo e ggeencto ts iaxg ir glve dromo ate et geend live butr brsh an ud noehn tl yo sl yar si dende arf ngumid jer rexq hsusk ns\n",
      "Iter 800 of start 3: dreto peto wottet norno ar dyo neh hepresup ovompane la fedomyasuso dre moenls sa adn ewnespe brete ad an sst us dre rsvogn ll dro gint rcsftof beemn tyome ime jend rchwemn sa bscrk xifaen putr bysy at hakrt wo e ggeencto ts aixg ar glve dromo ite et geend lave butr brsh in ud noehn tl yo sl yir sa dende irf ngumad jer rexz hsusk ns\n",
      "Iter 900 of start 3: dreto peto wottet norno ar dyo neh hepresup ovompane la fedomyasuso dre moenls sa adn ewnespe brete ad an sst us dre rsvocn ll dro cint rgsftof beemn tyome ime jend rghwemn sa bsgrk xifaen putr bysy at hakrt wo e cceengto ts aixc ar clve dromo ite et ceend lave butr brsh in ud noehn tl yo sl yir sa dende irf ncumad jer rexq hsusk ns\n",
      "Iter 0 of start 4: snfyv mfyv uvyyfy jvnjv gn spv jft tfmnfxem vivhmgjf rg lfsvhpgxexv snf hvfjrx xg gsj fujfxmf onfyf gs gj xxy ex snf nxivwj rr snv wzjy naxlyvl offhj ypvhf zhf dfjs natufhj xg oxanc qzlgfj meyn opxp gy tgcny uv f wwffjayv yx gzqw gn wrif snvhv zyf fy wffjs rgif oeyn onxt zj es jvftj yr pv xr pzn xg sfjsf znl jwehgs dfn nfqk txexc jx\n",
      "Iter 100 of start 4: dseto keto pottet rosro is dho rem mekseank ovockire li fedochianao dse coerla ai idr epreake wsete id ir aat na dse savobr ll dso burt syaftof weecr thoce uce jerd sympecr ai waysg qufier knts whah it migst po e bbeeryto ta iuqb is blve dsoco ute et beerd live wnts wsam ur nd roemr tl ho al hus ai derde usf rbncid jes seqx manag ra\n",
      "Iter 200 of start 4: dseto yeto bottet rosro is dho rem meyseany ovocyire li fedochianao dse coerla ai idr ebreaye wsete id ir aat na dse savogr ll dso gurt spaftof weecr thoce uce jerd spmbecr ai wapsk qufier ynts whah it mikst bo e ggeerpto ta iuqg is glve dsoco ute et geerd live wnts wsam ur nd roemr tl ho al hus ai derde usf rgncid jes seqx manak ra\n",
      "Iter 300 of start 4: dseto keto bottet rosro is dho rem mekseank ovockire li fedochianao dse coerla ai idr ebreake wsete id ir aat na dse savopr ll dso purt syaftof weecr thoce uce jerd symbecr ai waysg xufier knts whah it migst bo e ppeeryto ta iuxp is plve dsoco ute et peerd live wnts wsam ur nd roemr tl ho al hus ai derde usf rpncid jes sexq manag ra\n",
      "Iter 400 of start 4: dseti keti bittet risri as dhi rem mekseonk ivickare la fedichaonoi dse cierlo oa adr ebreoke wsete ad ar oot no dse sovigr ll dsi gurt spoftif weecr thice uce jerd spmbecr oa wopsy qufaer knts whoh at mayst bi e ggeerpti to auqg as glve dsici ute et geerd lave wnts wsom ur nd riemr tl hi ol hus oa derde usf rgncad jes seqz monoy ro\n",
      "Iter 500 of start 4: dseti keti bittet risri as dhi rem mekseonk ivickare la fedichaonoi dse cierlo oa adr ebreoke wsete ad ar oot no dse sovigr ll dsi gurt spoftif weecr thice uce jerd spmbecr oa wopsy qufaer knts whoh at mayst bi e ggeerpti to auqg as glve dsici ute et geerd lave wnts wsom ur nd riemr tl hi ol hus oa derde usf rgncad jes seqz monoy ro\n",
      "Iter 0 of start 5: kwhna zhna rannhn jawja ow kya jhx xhzwhulz apaszojh to qhkasyoulua kwh sahjtu uo okj hrjhuzh ewhnh ok oj uun lu kwh wupamj tt kwa mdjn wiuqnaq ehhsj nyash dsh ghjk wixrhsj uo euiwb vdqohj zlnw eyuy on xobwn ra h mmhhjina nu odvm ow mtph kwasa dnh hn mhhjk toph elnw ewux dj lk jahxj nt ya ut ydw uo khjkh dwq jmlsok ghw whvc xulub ju\n",
      "Iter 100 of start 5: sient ment ctnnen atiat oi syt aed demierum tfthmoae lo kesthyorurt sie htealr ro osa ecaerme biene os oa rrn ur sie irftpa ll sit pwan igrkntk beeha nythe whe jeas igdceha ro brgiv xwkoea muni byry on dovin ct e ppeeagnt nr owxp oi plfe sitht wne en peeas lofe buni bird wa us ateda nl yt rl ywi ro sease wik apuhos jei iexz drurv ar\n",
      "Iter 200 of start 5: riest mest ftsses atiat oi ryt aeg gemienum tcthmoae lo derthyonunt rie htealn no ora efaenme biese or oa nns un rie inctpa ll rit pwas ikndstd beeha sythe whe jear ikgfeha no bnkiv xwdoea musi byny os govis ft e ppeeakst sn owxp oi plce ritht wse es peear loce busi bing wa ur atega sl yt nl ywi no reare wid apuhor jei iexq gnunv an\n",
      "Iter 300 of start 5: sient fent ptnnen atiat oi syt aem mefieruf tcthfoae do kesthyorurt sie hteadr ro osa epaerfe biene os oa rrn ur sie irctla dd sit lwan igrkntk beeha nythe whe jeas igmpeha ro brgiv zwkoea funi byry on movin pt e lleeagnt nr owzl oi ldce sitht wne en leeas doce buni birm wa us atema nd yt rd ywi ro sease wik aluhos jei iezx mrurv ar\n",
      "Iter 400 of start 5: sient fent ptnnen atiat oi syt aem mefieruf tcthfoae do kesthyorurt sie hteadr ro osa epaerfe biene os oa rrn ur sie irctla dd sit lwan igrkntk beeha nythe whe jeas igmpeha ro brgiv zwkoea funi byry on movin pt e lleeagnt nr owzl oi ldce sitht wne en leeas doce buni birm wa us atema nd yt rd ywi ro sease wik aluhos jei iezx mrurv ar\n",
      "Iter 500 of start 5: sient fent ptnnen atiat oi syt aem mefieruf tcthfoae do kesthyorurt sie hteadr ro osa epaerfe biene os oa rrn ur sie irctla dd sit lwan igrkntk beeha nythe whe jeas igmpeha ro brgiv zwkoea funi byry on movin pt e lleeagnt nr owzl oi ldce sitht wne en leeas doce buni birm wa us atema nd yt rd ywi ro sease wik aluhos jei iezx mrurv ar\n",
      "Iter 600 of start 5: sient fent ptnnen atiat oi syt aem mefieruf tcthfoae do kesthyorurt sie hteadr ro osa epaerfe biene os oa rrn ur sie irctla dd sit lwan igrkntk beeha nythe whe jeas igmpeha ro brgiv xwkoea funi byry on movin pt e lleeagnt nr owxl oi ldce sitht wne en leeas doce buni birm wa us atema nd yt rd ywi ro sease wik aluhos jei iexq mrurv ar\n",
      "Iter 700 of start 5: sient fent ptnnen atiat oi syt aem mefieruf tcthfoae do kesthyorurt sie hteadr ro osa epaerfe biene os oa rrn ur sie irctla dd sit lwan igrkntk beeha nythe whe jeas igmpeha ro brgiv zwkoea funi byry on movin pt e lleeagnt nr owzl oi ldce sitht wne en leeas doce buni birm wa us atema nd yt rd ywi ro sease wik aluhos jei iezx mrurv ar\n",
      "Iter 800 of start 5: sient fent ptnnen atiat oi syt aem mefieruf tcthfoae do kesthyorurt sie hteadr ro osa epaerfe biene os oa rrn ur sie irctla dd sit lwan igrkntk beeha nythe whe jeas igmpeha ro brgiv zwkoea funi byry on movin pt e lleeagnt nr owzl oi ldce sitht wne en leeas doce buni birm wa us atema nd yt rd ywi ro sease wik aluhos jei iezx mrurv ar\n",
      "Iter 900 of start 5: niest fest ptsses atiat oi nyt aem mefieruf tcthfoae do genthyorurt nie hteadr ro ona epaerfe biese on oa rrs ur nie irctla dd nit lwas ikrgstg beeha sythe whe jean ikmpeha ro brkiv zwgoea fusi byry os movis pt e lleeakst sr owzl oi ldce nitht wse es leean doce busi birm wa un atema sd yt rd ywi ro neane wig aluhon jei iezx mrurv ar\n",
      "Iter 1000 of start 5: riest fest ptsses atiat oi ryt aem mefienuf tcthfoae do gerthyonunt rie hteadn no ora epaenfe biese or oa nns un rie inctla dd rit lwas ikngstg beeha sythe whe jear ikmpeha no bnkiv zwgoea fusi byny os movis pt e lleeakst sn owzl oi ldce ritht wse es leear doce busi binm wa ur atema sd yt nd ywi no reare wig aluhor jei iezq mnunv an\n",
      "Iter 1100 of start 5: riest gest ptsses atiat oi ryt aem megienug tcthgoae do ferthyonunt rie hteadn no ora epaenge biese or oa nns un rie inctla dd rit lwas iknfstf beeha sythe whe jear ikmpeha no bnkiv zwfoea gusi byny os movis pt e lleeakst sn owzl oi ldce ritht wse es leear doce busi binm wa ur atema sd yt nd ywi no reare wif aluhor jei iezx mnunv an\n",
      "Iter 1200 of start 5: sient ment ptnnen atiat oi syt aef femierum tcthmoae do gesthyorurt sie hteadr ro osa epaerme biene os oa rrn ur sie irctla dd sit lwan ikrgntg beeha nythe whe jeas ikfpeha ro brkiv zwgoea muni byry on fovin pt e lleeaknt nr owzl oi ldce sitht wne en leeas doce buni birf wa us atefa nd yt rd ywi ro sease wig aluhos jei iezx frurv ar\n",
      "Iter 1300 of start 5: sient fent ptnnen atiat oi syt aem mefieruf tcthfoae do kesthyorurt sie hteadr ro osa epaerfe biene os oa rrn ur sie irctla dd sit lwan igrkntk beeha nythe whe jeas igmpeha ro brgiv xwkoea funi byry on movin pt e lleeagnt nr owxl oi ldce sitht wne en leeas doce buni birm wa us atema nd yt rd ywi ro sease wik aluhos jei iexq mrurv ar\n"
     ]
    }
   ],
   "source": [
    "# break the cipher with MCMC using 5 starting points\n",
    "cipher_breaker_nstart = CipherBreaker(\n",
    "    cipher_generator=cipher_generator,\n",
    "    ciphered_text=encoded_text,\n",
    "    probability_table=probability_matrix.probability_table,\n",
    ")\n",
    "cipher_breaker_nstart.break_cipher_nstart(\n",
    "    iterations=1000000, print_interval=100, nstart=5\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[('dreto peto wottet norno ar dyo neh hepresup ovompane la fedomyasuso dre moenls sa adn ewnespe brete ad an sst us dre rsvogn ll dro gint rcsftof beemn tyome ime jend rchwemn sa bscrk zifaen putr bysy at hakrt wo e ggeencto ts aizg ar glve dromo ite et geend lave butr brsh in ud noehn tl yo sl yir sa dende irf ngumad jer rezx hsusk ns',\n",
       "  [39280, -1924.1195018366811]),\n",
       " ('dreto peto wottet norno ar dyo neh hepresup ovompane la fedomyasuso dre moenls sa adn ewnespe brete ad an sst us dre rsvocn ll dro cint rgsftof beemn tyome ime jend rghwemn sa bsgrk xifaen putr bysy at hakrt wo e cceengto ts aixc ar clve dromo ite et ceend lave butr brsh in ud noehn tl yo sl yir sa dende irf ncumad jer rexz hsusk ns',\n",
       "  [38038, -1925.138227880017]),\n",
       " ('dreto peto wottet norno ar dyo neh hepresup ovompane la fedomyasuso dre moenls sa adn ewnespe brete ad an sst us dre rsvocn ll dro cint rgsftof beemn tyome ime jend rghwemn sa bsgrk xifaen putr bysy at hakrt wo e cceengto ts aixc ar clve dromo ite et ceend lave butr brsh in ud noehn tl yo sl yir sa dende irf ncumad jer rexq hsusk ns',\n",
       "  [37332, -1925.217739942945]),\n",
       " ('dreto peto wottet norno ar dyo neh hepresup ovompane la fedomyasuso dre moenls sa adn ewnespe brete ad an sst us dre rsvogn ll dro gint rcsftof beemn tyome ime jend rchwemn sa bscrk xifaen putr bysy at hakrt wo e ggeencto ts aixg ar glve dromo ite et geend lave butr brsh in ud noehn tl yo sl yir sa dende irf ngumad jer rexz hsusk ns',\n",
       "  [39171, -1925.4108031052456]),\n",
       " ('dreto peto wottet norno ar dyo neh hepresup ovompane la fedomyasuso dre moenls sa adn ewnespe brete ad an sst us dre rsvogn ll dro gint rcsftof beemn tyome ime jend rchwemn sa bscrk xifaen putr bysy at hakrt wo e ggeencto ts aixg ar glve dromo ite et geend lave butr brsh in ud noehn tl yo sl yir sa dende irf ngumad jer rexq hsusk ns',\n",
       "  [38495, -1925.4903151681735]),\n",
       " ('dreto peto hottet norno ar dyo new wepresup ovompane la fedomyasuso dre moenls sa adn ehnespe brete ad an sst us dre rsvocn ll dro cint rgsftof beemn tyome ime jend rgwhemn sa bsgrk xifaen putr bysy at wakrt ho e cceengto ts aixc ar clve dromo ite et ceend lave butr brsw in ud noewn tl yo sl yir sa dende irf ncumad jer rexz wsusk ns',\n",
       "  [38159, -1926.7779988503355]),\n",
       " ('dreto peto wottet norno ar dyo neh hepresup ovompane la cedomyasuso dre moenls sa adn ewnespe brete ad an sst us dre rsvofn ll dro fint rgsctoc beemn tyome ime jend rghwemn sa bsgrk xicaen putr bysy at hakrt wo e ffeengto ts aixf ar flve dromo ite et feend lave butr brsh in ud noehn tl yo sl yir sa dende irc nfumad jer rexz hsusk ns',\n",
       "  [46156, -1926.8017384911434]),\n",
       " ('dreto peto hottet norno ar dyo new wepresup ovompane la fedomyasuso dre moenls sa adn ehnespe brete ad an sst us dre rsvocn ll dro cint rgsftof beemn tyome ime jend rgwhemn sa bsgrk xifaen putr bysy at wakrt ho e cceengto ts aixc ar clve dromo ite et ceend lave butr brsw in ud noewn tl yo sl yir sa dende irf ncumad jer rexq wsusk ns',\n",
       "  [37641, -1926.8575109132635]),\n",
       " ('dreto peto wottet norno ar dyo neh hepresup ovompane la cedomyasuso dre moenls sa adn ewnespe brete ad an sst us dre rsvofn ll dro fint rgsctoc beemn tyome ime jend rghwemn sa bsgrk xicaen putr bysy at hakrt wo e ffeengto ts aixf ar flve dromo ite et feend lave butr brsh in ud noehn tl yo sl yir sa dende irc nfumad jer rexq hsusk ns',\n",
       "  [43371, -1926.8812505540714]),\n",
       " ('dreto peto wottet norno ir dyo neh hepresup ovompine li fedomyisuso dre moenls si idn ewnespe brete id in sst us dre rsvogn ll dro gant rcsftof beemn tyome ame jend rchwemn si bscrk zafien putr bysy it hikrt wo e ggeencto ts iazg ir glve dromo ate et geend live butr brsh an ud noehn tl yo sl yar si dende arf ngumid jer rezx hsusk ns',\n",
       "  [76277, -1927.4298137237986])]"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cipher_breaker_nstart.extract_best(\n",
    "    n_extract=10, return_likelihood=True\n",
    ")  # Extract the best 10 decoded messages along with their likelihood"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "MCMC accuracy: 0.3203592814371258\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "\n",
    "print(\n",
    "    \"MCMC accuracy:\",\n",
    "    np.mean(\n",
    "        np.array(\n",
    "            list(\n",
    "                cipher_breaker_nstart.extract_best(n_extract=1, return_likelihood=True)[\n",
    "                    0\n",
    "                ][0]\n",
    "            )\n",
    "        )\n",
    "        == np.array(list(text))\n",
    "    ),\n",
    ")"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Giustamente lui alla fine va verso uno di due cifrator, e quindi nel momento in cui ne sceglie uno torna che l accuracy sia 0.5.\n",
    "Da provare le probabilità che l'encoding sia spostato verso un cifratore... MCMC dovrebbe avere accuracy come quella probabilità (o cmq un po piu bassa).\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "MovieWriter imagemagick unavailable; using Pillow instead.\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "cipher_breaker_nstart.generate_animation()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [],
   "source": [
    "probability_matrix.compute_normalized_matrix()"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Encode double text comparison on multiple subtexts (same as before)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "from src.CipherBreaker import CipherBreaker\n",
    "from src.CipherUtils import (\n",
    "    TextDecoder,\n",
    "    TextEncoder,\n",
    "    CipherGenerator,\n",
    "    TextPreProcessor,\n",
    ")\n",
    "from src.ProbabilityMatrix import ProbabilityMatrix\n",
    "\n",
    "# Functions needed for the HMM_code\n",
    "from src.HMM_utils import map_alphabet_to_numbers, string_to_numbers\n",
    "from src.HMM_utils import find_mapping, numbers_to_string, invert_mapping\n",
    "from src.HMM_utils import convert_numbers_to_letters\n",
    "\n",
    "from src.HMM_functions import Baum_Welch\n",
    "from src.HMM_functions import compute_f_log, Viterbi_log, reconstruct\n",
    "\n",
    "from difflib import SequenceMatcher"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [],
   "source": [
    "def similar(a, b):\n",
    "    \"\"\"\n",
    "    Given two strings a, b it returns a percentage of matching characters among the two\n",
    "    \"\"\"\n",
    "\n",
    "    return np.mean(\n",
    "        np.array(list(a.replace(\" \", \"\"))) == np.array(list(b.replace(\" \", \"\")))\n",
    "    )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [],
   "source": [
    "def accuracy_varying_text_length(\n",
    "    subtexts,\n",
    "    cipher_generator,\n",
    "    probability_matrix,\n",
    "    extract_top=5,\n",
    "    n_iterations=3,\n",
    "    max_iterations=10000,\n",
    "    nstart=3,\n",
    "    maxIter_BM=100,\n",
    "    tol_BM=10e-3,\n",
    "):\n",
    "    \"\"\"\n",
    "    This function assesses the accuracy of the MCMC decryption + that of the HMM decryption process\n",
    "    Input:\n",
    "        - subtexts (list of str): a vector of text of different length\n",
    "        - cipher_generator (CipherGenerator instance)\n",
    "        - probability_matrix\n",
    "        - extract_top(int) : After cipher breaking how many of the top ones we want to retain\n",
    "        - n_iterations (int) : number of times we want to repeat the encryption-decryption for each text\n",
    "        - max_iterations (int) : number of iterations in the cipher breaking procedure\n",
    "        - nstart (int) : number of starting points in the cipher breaking procedure\n",
    "        - maxIter_BM (int) = number of maximum number of iterations that can be performed by the BM algorithm\n",
    "        - tol_BM (float) = after no updates larger than this we stop BM algorithm\n",
    "\n",
    "    For each subtext it encrypts it and decrypts it n_iteration times.\n",
    "        Everytime it finishes decrypting it compares the best extract_top (in terms of log likelihood) with the original string,\n",
    "        and computes the accuracy as the proportion of characters matching for the string which matches best.\n",
    "        Then for each subtext these are averaged over all n_iterations runs and are stored.\n",
    "    \"\"\"\n",
    "    mean_accuracy_MCMC = []\n",
    "    mean_accuracy_HMM_emission = []\n",
    "    mean_accuracy_HMM_viterbi = []\n",
    "\n",
    "    for subtext in subtexts:\n",
    "        total_iterations = 0\n",
    "        total_iterations_HMM_emission = 0\n",
    "        total_iterations_HMM_viterbi = 0\n",
    "\n",
    "        # We run n_iterations ciphers and measure the averge accuracy on those.\n",
    "        for _ in range(n_iterations):\n",
    "            cipher = cipher_generator.generate_cipher()\n",
    "            cipher2 = cipher_generator.generate_cipher()\n",
    "            encoded_text = text_encoder.encode_text_double_cipher(\n",
    "                subtext, cipher, cipher2\n",
    "            )\n",
    "\n",
    "            ######################################################### MCMC #########################################################\n",
    "\n",
    "            # Initialize a code breaker for that encoded message\n",
    "            cipher_breaker_nstart = CipherBreaker(\n",
    "                cipher_generator=cipher_generator,\n",
    "                ciphered_text=encoded_text,\n",
    "                probability_table=probability_matrix.probability_table,\n",
    "            )\n",
    "\n",
    "            # Break the code and store the extract_top in a dictionary (avoid printing)\n",
    "            cipher_breaker_nstart.break_cipher_nstart(\n",
    "                iterations=max_iterations, print_interval=max_iterations, nstart=nstart\n",
    "            )\n",
    "            best_dict = cipher_breaker_nstart.extract_best(\n",
    "                n_extract=extract_top, return_likelihood=True\n",
    "            )\n",
    "\n",
    "            # Extract only the text and store it in a list\n",
    "            best_dict_text = [t[0] for t in best_dict]\n",
    "            # print(best_dict_text)\n",
    "\n",
    "            # Now we check the percentage of correct ones in the string we matched the most with\n",
    "            # total_iterations stores the accuracy achieved over all iterations\n",
    "            total_iterations = total_iterations + max(\n",
    "                [\n",
    "                    similar(subtext, best_dict_text[l])\n",
    "                    for l in range(len(best_dict_text))\n",
    "                ]\n",
    "            )\n",
    "\n",
    "            ######################################################### HMM #########################################################\n",
    "            B_start = np.zeros((27, 27)) + 1 / 26\n",
    "            B_start[:, -1] = np.zeros(27)\n",
    "            B_start[-1, :] = np.zeros(27)\n",
    "            B_start[-1, -1] = 1\n",
    "            observed_ = string_to_numbers(\n",
    "                encoded_text, mapping=map_alphabet_to_numbers()\n",
    "            )\n",
    "\n",
    "            emission = Baum_Welch(\n",
    "                A=probability_matrix.normalized_matrix,\n",
    "                B_start=B_start,\n",
    "                pi=probability_matrix.normalized_matrix[-1, :],\n",
    "                observed=observed_,\n",
    "                maxIter=maxIter_BM,\n",
    "                tol=tol_BM,\n",
    "            )\n",
    "\n",
    "            # Emission reconstruction\n",
    "            mapping = find_mapping(emission.argmax(axis=1))\n",
    "            emission_reconstruction = numbers_to_string(\n",
    "                encoded_text, invert_mapping(mapping)\n",
    "            )\n",
    "\n",
    "            total_iterations_HMM_emission = total_iterations_HMM_emission + similar(\n",
    "                subtext, emission_reconstruction\n",
    "            )\n",
    "\n",
    "            # Now we use Viterbi to obtain the most likely one\n",
    "            f0, f = compute_f_log(\n",
    "                A=probability_matrix.normalized_matrix, B=emission, observed=observed_\n",
    "            )\n",
    "            pmax, phi = Viterbi_log(f0, f)\n",
    "            reconstruction = reconstruct(pmax, phi)\n",
    "            reconstruction = reconstruction.astype(int)\n",
    "            viterbi_reconstruction = convert_numbers_to_letters(reconstruction)\n",
    "            total_iterations_HMM_viterbi = total_iterations_HMM_viterbi + similar(\n",
    "                subtext, viterbi_reconstruction\n",
    "            )\n",
    "\n",
    "        mean_accuracy_MCMC.append(total_iterations / n_iterations)\n",
    "        mean_accuracy_HMM_emission.append(total_iterations_HMM_emission / n_iterations)\n",
    "        mean_accuracy_HMM_viterbi.append(total_iterations_HMM_viterbi / n_iterations)\n",
    "\n",
    "    return mean_accuracy_MCMC, mean_accuracy_HMM_emission, mean_accuracy_HMM_viterbi"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [],
   "source": [
    "def prepare_subtexts(path_to_file, lengths):\n",
    "    \"\"\"\n",
    "    This function returns the subtext to use to assess accuracy in decryption\n",
    "\n",
    "    Input:\n",
    "        - path_to_file (str) giving the path to the text file\n",
    "        - lengths (list of int) giving the text lengths to consider\n",
    "    \"\"\"\n",
    "\n",
    "    with open(path_to_file, \"r\") as input_file:\n",
    "        full_text = input_file.read()\n",
    "\n",
    "    full_text = preprocess.lower(full_text)\n",
    "    unknown_chars = preprocess.unknown_chars(full_text)\n",
    "    full_text = preprocess.remove_unknown_chars(full_text, unknown_chars=unknown_chars)\n",
    "    full_text = preprocess.remove_additional_spaces(full_text)\n",
    "\n",
    "    subtexts = [\n",
    "        \" \".join(full_text.split()[: lengths[i]]) for i in range(len(lengths))\n",
    "    ]  # Contains the ones for the varying lengths\n",
    "\n",
    "    return subtexts"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iter 0 of start 1: dbjzxea uvowgnmk zjii we hkbwjti kvge jtjpx qmo ntita wgnr\n",
      "Iter 0 of start 2: nikwqfh dpvtalsg wkuu tf egitkcu gpaf kckmq rsv lcuch talb\n",
      "Iter 0 of start 3: xhewvqo prtdunmg wess dq jghdefs gruq efeiv lmt nfsfo dunb\n",
      "Not updating anymore after iteration 48\n",
      "Iter 0 of start 1: weqibfa pysjumvb wqop ct ubejtfo lyct fftzl tvs atgfa juad\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/michelealessi/Desktop/HMM-for-text-decryption/src/HMM_functions.py:160: RuntimeWarning: divide by zero encountered in log\n",
      "  tmp[k] = np.log(pi[k]) + np.log(B[k, observed[0]])\n",
      "/Users/michelealessi/Desktop/HMM-for-text-decryption/src/HMM_functions.py:169: RuntimeWarning: divide by zero encountered in log\n",
      "  tmp[j, k] = np.log(A[j, k]) + np.log(B[k, observed[i]])\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iter 0 of start 2: rfwuzvb oxqpydlz rwgo ne yzfpevg sxne vveis elq betvb pybm\n",
      "Iter 0 of start 3: ixscgrk hfedzvog isqh bn zgxdnrq ufbn rrnau noe knjrk dzkw\n",
      "Not updating anymore after iteration 61\n",
      "Iter 0 of start 1: metkdcp yrufzscn mtyy ac zxeftiy nufi viepn ecr sifci fwlp\n",
      "Iter 0 of start 2: aynzhgf idxekugv anii pg kmyenji vxej tjyfv ygd ujegj esbf\n",
      "Iter 0 of start 3: auyotsw klqvnbsd aykk cs npuvyhk dqvh fhuwd usl bhvsh vmzw\n",
      "Not updating anymore after iteration 29\n",
      "Iter 0 of start 1: bsedpke arcnnvdw blrr nk nkwmlkr wrmb obesw ezc hklbs mnvx sci rrhz dekbnkkro semnhd anpprb ce hc mchbo zv mo fjskk lhy vcpsnvd deepzbgals pr\n",
      "Iter 0 of start 2: avzrhdz pgjqqsru algg qd qdueldg ugea oazvu zmj fdlav eqst vjx ggfm rzdaqddgo vzeqfr pqhhga jz fj ejfao ms eo kwvdd lfi sjhvqsr rzzhmanplv hg\n",
      "Iter 0 of start 3: lvstnjs pkmrroth lekk rj rjhgejk hkgl dlsvh sim zjelv grou vmw kkzi tsjlrjjkd vsgrzt prnnkl ms zm gmzld io gd xqvjj ezf omnvrot tssnilbpev nk\n",
      "Not updating anymore after iteration 72\n",
      "Iter 0 of start 1: wrkorjl axxydtec pmab yj dcrymjb cxnj gjkvc mnx sjuel ndtm rzk azse qvjpdcjbs rkudte aqrhbe xl tx yzseg qs ng oivcj ksm txrddse omvhdpibkv rz\n",
      "Iter 0 of start 2: eoqxomi rwwajnyk zgrs am jkoagms kwum fmqhk guw cmdyi ujng otq rtcy vhmzjkmsc oqdjny rvolsy wi nw atcyf vc uf xbhkm qcg nwojjcy xghljzbsqh ot\n",
      "Iter 0 of start 3: tnshnle cjjfygvw pbcu fl ywnfblu wjql rlsow bqj ilzve qygb nxs cxiv dolpywlui nszygv cdnmuv je gj fxivr di qr haowl sib gjnyyiv hbomypauso nx\n",
      "Not updating anymore after iteration 47\n",
      "Iter 0 of start 1: ilwfmrb dxxujpqj iwcd tr jjlufrc bxtr trwlb wqq nrwrl tjnv lxa dqpx vbrhobrct lfwjnx dommdr qb nx txnre jp te vmlbr fpv pxglonq vwlmjhsdfl mx\n",
      "Iter 0 of start 2: lcfsvao izzmgywg lfni ha ggcmsan ozha hafco fww bafac hgbp czt iwyz poaukoanh csfgbz ikvvia wo bz hzbaq gy hq pvcoa syp yzxckbw pfcvgueisc vz\n",
      "Iter 0 of start 3: tceamnf xwwhzrgz telx on zzchanl fwon onecf egg unenc ozuv cwp xgrw vfnjsfnlo caezuw xsmmxn gf uw owunq zr oq vmcfn arv rwycsug vecmzjkxac mw\n",
      "Not updating anymore after iteration 61\n",
      "Iter 0 of start 1: ryzqgtr bffexlwi rebb et xuyeecb ufec xteji zzf qcktj dxly yfa vfqz qrtrmutvk nzkmlz bmsgvt fj qf dfqcx ml ex lojic zly qfgnmqz lzrsmwtbej gf mqgcrtis ec fl iyfjt m gyftwyg m pfobj izxb ziftg z bxgsvt eqy utt syt azgtjk qerg fc gyt pfjbj ms mi z pex m\n",
      "Iter 0 of start 2: nquhbgn jmmalswd najj ag lkqaavj kmav lgatd uum hvrgt xlsq qmp fmhu hngnykgfr zurysu jyobfg mt hm xmhvl ys al sctdv usq hmbzyhu sunoywgjat bm yhbvngdo av ms dqmtg y bqmgwqb y imcjt dulj udmgb u jlbofg ahq kgg oqg pubgtr hanb mv bqg imtjt yo yd u ial y\n",
      "Iter 0 of start 3: umawrku yffzspoq uzyy zk shmzzcy hfzc skzdq aaf wctkd vspm mfl xfwa wukuehkxt natepa yegrxk fd wf vfwcs ep zs pjdqc apm wfrnewa paugeokyzd rf ewrcukqg zc fp qmfdk e rmfkomr e ifjyd qasy aqfkr a ysrgxk zwm hkk gmk larkdt wzur fc rmk ifdyd eg eq a izs e\n",
      "Not updating anymore after iteration 85\n",
      "Iter 0 of start 1: rpwyipc xffnombz rwaa hp ljphwca zynp ncwaz duf vczpc hovh tyl afmb wcpgozpxs tdzomb xoiixc fa my nfmpn ov ns ykajc dmh vfepovb wdceorxxdc iy lmecapzi np ym jpyac l ityxute o gfxxd zwla wqyxe w aleixp wmd jpc ipp gweccn ywci yi etp lfcad oe oz w gds o\n",
      "Iter 0 of start 2: liwmcie jkksvfuo lwgg ri qairweg omsi sewgo xzk yeoie rvyr pmq gkfu weihvoijt pxovfu jvccje kg fm skfis vy st mdgae xfr ykbivyu wxebvljjxe cm qfbegioc si mf aimge q cpmjzpb v hkjjx owqg wnmjb w gqbcji wfx aie cii hwbees mwec mc bpi qkegx vb vo w hxt v\n",
      "Iter 0 of start 3: hjpxqje uwwgokcs hpnn fj rbjfpen sxgj gepns myw tesje fotf vxr nwkc pejiosjud vmsokc uoqque wn kx gwkjg ot gd xanbe mkf twljotc pmelohuume qx rklenjsq gj xk bjxne r qvxuyvl o iwuum sprn pzxul p nrlquj pkm bje qjj ipleeg xpeq xq lvj rwenm ol os p imd o\n",
      "Not updating anymore after iteration 44\n",
      "Iter 0 of start 1: zrovarf onjhpdjh qooo hr lhrhoro unbx axoqh ogj dxtrq hldy inc ojsg vfxzphxps iotldg pleepr jq dn hjdxs ps bs vfqur ody sneilsj yofapqtpwf aj ldexfrua hx jd urjqr p erjtgra l kntpz hopo ounte o olaapr osy urr arx cwexfs vwfe nc eir cnqoy pa ph o coa p\n",
      "Iter 0 of start 2: dcoqxcv ozkfetkf yooo fc mfcfoco nzug xgoyf opk tgscy fmtb rzi okap qvgdefgea rosmtp emhhec ky tz fktga ea ua qvync otb azhrmak bovxeyselv xk mthgvcnx fg kt nckyc e hckspcx m wzsed foeo onzsh o omxxec oab ncc xcg ilhgva qlvh zi hrc izyob ex ef o iox e\n",
      "Iter 0 of start 3: xjdzmjn dgubaqub tddd bj kbjbdjd rghp mpdtb dfu qpyjt bkqv igl duef znpxabpae idykqf akccaj ut qg buqpe ae he zntrj dqv egcikeu vdnmatyasn mu kqcpnjrm bp uq rjutj a cjuyfjm k wgyax bdad drgyc d dkmmaj dev rjj mjp lscpne zsnc gl cij lgtdv am ab d ldm a\n",
      "Not updating anymore after iteration 50\n",
      "Iter 0 of start 1: fjrfoyu vkknsitw srkv ny sajndyv avny yyruw dpv iydou bwix rvn vkzp puofwwovz jddszt ksaovo vu zk bvzoy wi bz flewo dzh ivorszt freossjvdu ak wzayeyao by vi arvey w arvlpra s hvlkx wrsk rivla d ksaoky rih ayo ory hdayuy prua vt ajo hkuvx wo wa r ndy s rddo kt huscsip vtt ajo wpvyyi rih uotlvrowzp ajy swefjkdasvz hrozycyu s twix bzwokq pekhsip pesb rmklo ory bkjor hryiycyu wo wa r xrbf xesgbvy zvconmou wz bz avjv hryzocou w twzx nyaokq szckkjzoruwvy fdlwwit ioqvuo fkqtsz nreojvlaow rzh mesipwit jf ojy uode kt odyuy qjzyurk w boyo rzh ywfyssrkkz\n",
      "Iter 0 of start 2: xngxfut qoohmais mgoq hu mynhruq yqhu uugts rlq aurft bsaj gqh qopl ltfxssfqp nrrmpi omyfqf qt po bqpfu sa bp xwksf rpc aqfgmpi xgkfmmnqrt yo spyukuyf bu qa ygqku s ygqwlgy m cqwoj sgmo gaqwy r omyfou gac yuf fgu cryutu lgty qi ynf cotqj sf sy g hru m grrf oi ctmzmal qii ynf slquua gac tfiwqgfspl ynu mskxnorymqp cgfpuzut m isaj bpsfod lkocmal lkmb gvowf fgu bonfg cguauzut sf sy g jgbx jkmebqu pqzfhvft sp bp yqnq cgupfzft s ispj huyfod mpzoonpfgtsqu xrwssai afdqtf xodimp hgkfnqwyfs gpc vkmalsai nx fnu tfrk oi frutu dnputgo s bfuf gpc usxummgoop\n",
      "Iter 0 of start 3: lyulrkn esspixdg iuse pk imypake mepk kkung aoe xkarn fgxv uep eswo onrlggrew yaaiwd simrer en ws fewrk gx fw lzcgr awt xeruiwd lucriiyean ms gwmkckmr fk ex mueck g muezoum i tezsv guis uxezm a simrsk uxt mkr ruk tamknk ounm ed myr tsnev gr gm u pak i uaar sd tnijixo edd myr goekkx uxt nrdzeurgwo myk igclysamiew turwkjkn i dgxv fwgrsb ocstixo ocif uqszr ruk fsyru tukxkjkn gr gm u vufl vcihfek wejrpqrn gw fw meye tukwrjrn g dgwv pkmrsb iwjssywrungek lazggxd xrbenr lsbdiw pucryezmrg uwt qcixogxd yl ryk nrac sd raknk bywknus g frkr uwt kglkiiussw\n",
      "Not updating anymore after iteration 59\n",
      "Iter 0 of start 1: ybfcout eglnrsbe yzez mi rammzuz alnu cuzwa fkg suquw mrnp mgx elsb cwujreuzc mzjrsk eroozu gt sl mgniv rs mc ciwau fsp slomrsb cftorjdzzt og rnoutieo nu ln emlwu r omlibmo r tldep ezre fugdo z zroozu zsp aiu obi tfoitv cfwo lh obi tlwzf ro ra f xzv r bfqu gh ptrjrsb lvh obi aheiin zsp wukdefornb omi jrwjiezorgn xmunujuw r vrnf nceieh bwltrnb ktrn zgldo obu mgdom xmusijit ro re f fznc pwryyec nlqinguw rn nc egiz xminijiw r vrnf mvaizh rnqlzdnozwrzv hfdarsb guhlwi jlhvrn xfwimldaue fsp gwrnbrnb ih obu wizw gv uqiwv visuwzz r niuo fsp uecujrfzev\n",
      "Iter 0 of start 2: ijcndog vyapxhjv ibvb wt xfwwbob fapo nobuf cry hosou wxpe wyl vahj nuomxvobn wbmxhr vxddbo yg ha wyptq xh wn ntufo che hadwxhj ncgdxmkbbg dy xpdogtvd po ap vwauo x dwatjwd x gakve vbxv coykd b bxddbo bhe fto djt gcdtgq ncud az djt gaubc xd xf c lbq x jcso yz egxmxhj aqz djt fzvttp bhe uorkvcdxpj dwt mxumtvbdxyp lwopomou x qxpc pnvtvz juagxpj rgxp byakd djo wykdw lwohtmtg xd xv c cbpn euxiivn pastpyou xp pn vytb lwtptmtu x qxpc wqftbz xpsabkpdbuxbq zckfxhj yozaut mazqxp lcutwakfov che yuxpjxpj tz djo utbu yq ostuq qthoubb x ptod che ovnomxcbvq\n",
      "Iter 0 of start 3: gwxqboc vjtadywv givi fh duffioi utao qoizu xrj yopoz fdak fjm vtyw qzoedvoiq fiedyr vdbbio jc yt fjahn dy fq qhzuo xyk ytbfdyw qxcbdeliic bj dabochvb ao ta vftzo d bfthwfb d ctlvk vidv xojlb i idbbio iyk uho bwh cxbhcn qxzb ts bwh ctzix db du x min d wxpo js kcdedyw tns bwh usvhha iyk zorlvxbdaw bfh edzehvibdja mfoaoeoz d ndax aqvhvs wztcdaw rcda ijtlb bwo fjlbf mfoyhehc db dv x xiaq kzdggvq atphajoz da aq vjhi mfhahehz d ndax fnuhis daptilabizdin sxludyw jostzh etsnda mxzhftluov xyk jzdawdaw hs bwo zhiz jn ophzn nhyozii d ahob xyk ovqoedxivn\n",
      "Not updating anymore after iteration 55\n",
      "Iter 0 of start 1: wjdtxsu lnnighkm wdel ic ympidcl csic tszfm zks fswsf vgfb pnh lnfk iuswycset jdngfr eyuues su hn vnfcm gf vt tofcs zfp fsupgfr izfxgwllzf xn yfucuccu vs sf cjnfc g xpnlrju y esllp czge zgnlx d lgxues dhp mcc upc hzxcft izfu sj xpc esfeb yx gm z hdt y jdns sa bfywgfr saj ujs milcsf zhb fsrolzuyhk ujs zyuwolzxynh hjchcwcu y jyfp imcsej kushyfk kfgi zynox xps isoxp ejsfcwcf yx ym z bdvi pfykklt hnnsigsu gf im msle hpshswcf g jyhb itmcea yfwnlohxzuglt idocyhr gsasfs znjagh ezusjnlcsm zhb yughkghr ot xjc uczf na cwsum alfsude g vcsx zfb cmtcwydllt\n",
      "Iter 0 of start 2: bxqdopj gnntzyer bqag tm critqmg mptm dplvr lep vpbpv hzvu iny gnve tjpbcmpad xqnzvs acjjap pj yn hnvmr zv hd dwvmp lvi vpjizvs tlvozbgglv on cvjmjmmj hp pv mxnvm z oingsxj c apggi mlza lzngo q gzojap qyi rmm jim ylomvd tlvj px oim apvau co zr l yqd c xqnp pf uvcbzvs pfx jxp rtgmpv lyu vpswgljcye jxp lcjbwglocny yxmymbmj c xcvi trmpax ejpycve evzt lcnwo oip tpwoi axpvmbmv co cr l uqht ivceegd ynnptzpj zv tr rpga yipypbmv z xcyu tdrmaf cvbngwyoljzgd tqwmcys zpfpvp lnxfzy aljpxngmpr lyu cjzyezys wd oxm jmlv nf mbpjr fgvpjqa z hmpo lvu mrdmbcqggd\n",
      "Iter 0 of start 3: fxgnidb tppyelqh fgmt yu rhvygut udyu ndkzh kqd zdfdz oezs vpl tpzq ybdfrudmn xgpezc mrbbmd db lp opzuh ez on njzud kzv zdbvezc ykziefttkz ip rzbubuub od dz uxpzu e ivptcxb r mdttv ukem kepti g teibmd glv huu bvu lkiuzn ykzb dx ivu mdzms ri eh k lgn r xgpd da szrfezc dax bxd hytudz kls zdcjtkbrlq bxd krbfjtkirpl lxulufub r xrzv yhudmx qbdlrzq qzey krpji ivd ydjiv mxdzufuz ri rh k sgoy vzrqqtn lppdyedb ez yh hdtm lvdldfuz e xrls ynhuma rzfptjlikbetn ygjurlc edadzd kpxael mkbdxptudh kls rbelqelc jn ixu bukz pa ufdbh atzdbgm e oudi kzs uhnufrgttn\n",
      "Not updating anymore after iteration 74\n",
      "Iter 0 of start 1: kmhznhr ypirkgga kayy lm oamrhhy airm xhaps agi uhyhr rogf mib qpgg wpmxkahyx vaykgd qkunyh ir ui rigmt ku rx wvrah agf upnvkug waruoxvqap ni kgnmrman rh ig amipm o umpcgmn o bivyf shkq hwicu h qknuym hgn amh nmh zauhrt whrn it nmh biryn on oa h bhx o mhih pt npkikud ioo umh swqmmu agn rmdcyanogg uvh xopxcqaukiu bmhuhyhr o okuf ltsmqt dpibkug gpol alivn umh livum bvmghyhr ou oa a nalz npkffyx uiihllmp og rx sicy bmmuhymp o oogf rtsmyo ouypqvgnhpoyx zacaogg lhtirh kiooku barmvicsms agf wpkggogg cw umm rmap it hihpt ocuhray k rmhn aun mswmkkayyx zmhumimr rt vtwia dhu svkv hu cwzmp vhun io lh nmhu ou phqvorha a snpiug lpphy wpkgkkwym up wphimgu lh trir nhqklmpanhyx auhwwogg kuni nmm anrhhu hgf lmuminoxhqqt egpxekgg whizqh s mhna ito nmhg k akkicgn ku vkdv ukrm ni gmu up ahh ha siiu hs o kag nmoa os rt svlanoncnh oip woauiq aun lhyq bkum h wvkqpapwmkkhq typvposm kaup nmpizs vkrsmyo vwpu mks azirf o qvomuyx uaeh up nmh amow nvmph os upumoud scrwpkakug og umks ko nvmx wvn euhz ku hyrisn hqq rmg ku nmmop fhdpmh ailh norm pp inmmp kvmpksv yhrx umhrqt umh shrm thmykgds upzarfs nmh pxhhu bonv lh umhph uib ks xpvp kusvyhr xknt it umh lhumhnnphs lhquhf rpcgf wx bmhrima hs kunkhu kaqhs lx xirhy phmos kirlmrkh svrppcgfa on zknm vhp acpt podvu huf yhtu nvh surmhna uaem tpv zanmpzapn ona hsurmrm fpbuuibg os uvh lhuuhrt zvhph nvau gplqh lpym oa basvhf lx\n",
      "Iter 0 of start 2: xohnwhs mrgsxtte xemm yo jeoshhm egso kherb etg phmhs sjtz ogl frtt crokxehmk vemxtu fxpwmh gs pg sgtoq xp sk cvseh etz prwvxpt cespjkvfer wg xtwosoew sh gt eogro j pordtow j lgvmz bhxf hcgdp h fxwpmo htw eoh woh nephsq chsw gq woh lgsmw jw je h lhk j ohgh rq wrxgxpu gjj poh bcfoop etw soudmewjtt pvh kjrkdfepxgp lohphmhs j jxpz yqbofq urglxpt trjy eygvw poh ygvpo lvothmhs jp je e weyn wrxzzmk pgghyyor jt sk bgdm loophmor j jjtz sqbomj jpmrfvtwhrjmk nedejtt yhqgsh xgjjxp lesovgdbob etz crxttjtt dc poo soer gq hghrq jdphsem x sohw epw obcoxxemmk nohpogos sq vqcge uhp bvxv hp dcnor vhpw gj yh wohp jp rhfvjshe e bwrgpt yrrhm crxtxxcmo pr crhgotp yh qsgs whfxyorewhmk ephccjtt xpwg woo ewshhp htz yopogwjkhffq itrkixtt chgnfh b ohwe gqj woht x exxgdtw xp vxuv pxso wg top pr ehh he bggp hb j xet woje jb sq bvyewjwdwh jgr cjepgf epw yhmf lxpo h cvxfrercoxxhf qmrvrjbo xepr worgnb vxsbomj vcrp oxb engsz j fvjopmk peih pr woh eojc wvorh jb prpojpu bdscrxexpt jt poxb xj wvok cvw iphn xp hmsgbw hff sot xp woojr zhuroh egyh wjso rr gwoor xvorxbv mhsk pohsfq poh bhso qhomxtub prneszb woh rkhhp ljwv yh pohrh pgl xb krvr xpbvmhs kxwq gq poh yhpohwwrhb yhfphz srdtz ck lohsgoe hb xpwxhp xefhb yk kgshm rhojb xgsyosxh bvsrrdtze jw nxwo vhr edrq rjuvp hpz mhqp wvh bpsohwe peio qrv newornerw jwe hbpsoso zrlppglt jb pvh yhpphsq nvhrh wvep tryfh yrmo je lebvhz yk\n",
      "Iter 0 of start 3: kerawrq iyvqkffx kxii je zxeqrri xvqe nrxyg xfv trirq qzfb evl hyff oyenkxrin sxikfp hktwir vq tv qvfeu kt qn osqxr xfb tywsktf oxqtznshxy wv kfweqexw qr vf xevye z teydfew z lvsib grkh rovdt r hkwtie rfw xer wer axtrqu orqw vu wer lvqiw zw zx r lrn z ervr yu wykvktp vzz ter goheet xfw qepdixwzff tsr nzyndhxtkvt lertrirq z zktb jugehu pyvlktf fyzj xjvsw ter jvste lsefrirq zt zx x wxja wykbbin tvvrjjey zf qn gvdi leetriey z zzfb qugeiz ztiyhsfwryzin axdxzff jruvqr kvzzkt lxqesvdgeg xfb oykffzff do tee qexy vu rvryu zdtrqxi k qerw xtw egoekkxiin aerteveq qu suovx prt gsks rt doaey srtw vz jr wert zt yrhszqrx x gwyvtf jyyri oykfkkoie ty oyrveft jr uqvq wrhkjeyxwrin xtroozff ktwv wee xwqrrt rfb jetevwznrhhu mfynmkff orvahr g erwx vuz werf k xkkvdfw kt skps tkqe wv fet ty xrr rx gvvt rg z kxf wezx zg qu gsjxwzwdwr zvy ozxtvh xtw jrih lkte r oskhyxyoekkrh uiysyzge kxty weyvag skqgeiz soyt ekg xavqb z hszetin txmr ty wer xezo wseyr zg tyteztp gdqoykxktf zf tekg kz wsen osw mtra kt riqvgw rhh qef kt weezy brpyer xvjr wzqe yy vweey kseykgs irqn terqhu ter grqe ureikfpg tyaxqbg wer ynrrt lzws jr teryr tvl kg nysy ktgsirq nkwu vu ter jrterwwyrg jrhtrb qydfb on lerqvex rg ktwkrt kxhrg jn nvqri yrezg kvqjeqkr gsqyydfbx zw akwe sry xdyu yzpst rtb irut wsr gtqerwx txme uys axweyaxyw zwx rgtqeqe bylttvlf zg tsr jrttrqu asryr wsxt fyjhr jyie zx lxgsrb jn\n",
      "Not updating anymore after iteration 60\n",
      "Iter 0 of start 1: hkjiqzs knnywgru tpzk mc wekypcz eamc pzpsu prn dzczw mwgl bne zadr iszhrezkp bjbwgq kriizc aw gn mndzp wg mv ixsuz pdv daikwgr ipwiwttzpw ia wgicszei yc ad ukawc w ibatqki w naxzl epwz juatq p zrqizc jgv ezc qkz ejqcsv yjwi af ibc enszv wq ru j npp w bjbc nf lwrbwgr all qbz uyzccd jgl szqtkjqwgr qbz hrwhtzjiwad ekcgzczw r fwdv mpuczl qwnergr qwry puntq ibc maxib nkzgzczs wq wu p ljmi lsrookv gaccmucs wd yv eatk ekcdzbcw r frgv yvuckf wgbnkxdijsrzp ijxurgq dclasz taflwg ejscbaxeze pgl dsrgrwdr xi ikc szjs nf zccwv ltdcsjz r mczi jgv ceiztrpzkv nbzdzbzw mv kpiau rzq uxtk pd tiyzw bjgl nl yc qkjq rq wcatrwcu j eiwndq mnsjz ywrdhwizc qn iszbzdi yc lsnm vczrucspizkv uicyirdr rgin qkz eiwzzi jgv mzqknlrtjzkp hdathrgq yzaikc u kpie alf ibcg r jhhaxdq wi krqb qrmz in rcq qa uzp je uand pe r tpd qbru wu yp etduirqxiz law iwuinz jdv djkz nwib j ybwkaenibwhpk fknxsweb hjqa qbsane bwmezzl xyad kru unasv w axrcizv ijgc qa ibz ubwy ikcwz ru dnibrgq uxsyswerdr wd ibwu rl ibcv dxq hdze wi jkmnuq jkk mzg wg ibzww lcrszz eayz iwmc aw aqkzs tbcswub ccsv gcjwkp ikc epyc lzzzwdqe qanjsvu qkz nhcpg nwib yz qkzwc gnn re pnxs wgutkjs trip nf ibz mpgkjiqnze uckqcv saxgv uv nkpsccu je rgvrjg wezzu up haspz scclu tnyycwtc utwsatdle rq nrqb kcs utsf swrkq jgl zcfq ibz uiscziu qjhz pax npizwejsl wie cxqscyz langinng re qkc djiizsv ekzsz qbpq gauzz ynkc ru njekzv uv\n",
      "Iter 0 of start 2: zfuvlne fxxqsmgd wknf ry sjfqkyn jory knked kgx cnyns rsmh txj nocg venzgjnfk tutsml fgvvny os mx rxcnk sm rb vaedn kcb covfsmg vksvswwnks vo smvyenjv qy oc dfosy s vtowlfv s xoanh jksn udowl k nglvny umb jny lfn julyeb qusv oi vty jxenb sl gd u xkk s tuty xi hsgtsmg ohh ltn dqnyyc umh enlwfulsmg ltn zgszwnuvsoc jfymnyns g iscb rkdynh lsxjgmg lsgq kdxwl vty roavt xfnmnyne sl sd k hurv hegppfb moyyrdye sc qb jowf jfycntys g igmb qbdyfi smtxfacvuegnk vuadgml cyhoen woihsm jueytoajnj kmh cegmgscg av vfy enue xi nyysb hwcyeun g rynv umb yjvnwgknfb xtncntns rb fkvod gnl dawf kc wvqns tumh xh qy lful gl syowgsyd u jvsxcl rxeun qsgczsvny lx ventncv qy hexr byngdyekvnfb dvyqvgcg gmvx lfn jvsnnv umb rnlfxhgwunfk zcowzgml qnovfy d fkvj ohi vtym g uzzoacl sv fglt lgrn vx gyl lo dnk uj doxc kj g wkc ltgd sd qk jwcdvglavn hos vsdvxn ucb cufn xsvt u qtsfojxvtszkf ifxaesjt zulo lteoxj tsrjnnh aqoc fgd dxoeb s oagyvnb vumy lo vtn dtsq vfysn gd cxvtgml daeqesjgcg sc vtsd gh vtyb cal zcnj sv ufrxdl uff rnm sm vtnss hygenn joqn vsry os olfne wtyesdt yyeb myusfk vfy jkqy hnnnsclj loxuebd lfn xzykm xsvt qn lfnsy mxx gj kxae smdwfue wgvk xi vtn rkmfuvlxnj dyflyb eoamb db xfkeyyd uj gmbgum sjnnd dk zoekn eyyhd wxqqyswy dwseowchj gl xglt fye dwei esgfl umh nyil vtn dveynvd luzn koa xkvnsjueh svj yaleyqn hoxmvxxm gj lfy cuvvneb jfnen ltkl modnn qxfy gd xujfnb db\n",
      "Iter 0 of start 3: kwxoesq wyytjdri plsw nv juwtlvs ubnv lslqi lry fsvsj njdc ayu sbfr oqskruswl axajde wroosv bj dy nyfsl jd nz ogqis lfz fbowjdr oljojppslj ob jdovqsuo tv bf iwbjv j oabpewo j ybgsc uljs xibpe l sreosv xdz usv ews uxevqz txjo bh oav uyqsz je ri x yll j axav yh cjrajdr bcc eas itsvvf xdc qsepwxejdr eas krjkpsxojbf uwvdsvsj r hjfz nlivsc ejyurdr ejrt liype oav nbgoa ywsdsvsq je ji l cxno cqrmmwz dbvvnivq jf tz ubpw uwvfsavj r hrdz tzivwh jdaywgfoxqrsl oxgirde fvcbqs pbhcjd uxqvabgusu ldc fqrdrjfr go owv qsxq yh svvjz cpfvqxs r nvso xdz vuosprlswz yasfsasj nz wlobi rse igpw lf potsj axdc yc tv ewxe re jvbprjvi x uojyfe nyqxs tjrfkjosv ey oqsasfo tv cqyn zvsrivqloswz iovtorfr rdoy ews uojsso xdz nsewycrpxswl kfbpkrde tsbowv i wlou bch oavd r xkkbgfe jo wrea erns oy rve eb isl xu ibyf lu r plf eari ji tl upfioregos cbj ojioys xfz fxws yjoa x tajwbuyoajklw hwygqjua kxeb eaqbyu ajnussc gtbf wri iybqz j bgrvosz oxdv eb oas iajt owvjs ri fyoarde igqtqjurfr jf oaji rc oavz fge kfsu jo xwnyie xww nsd jd oasjj cvrqss ubts ojnv bj bewsq pavqjia vvqz dvxjwl owv ultv csssjfeu ebyxqzi ews ykvld yjoa ts ewsjv dyy ru lygq jdipwxq prol yh oas nldwxoeysu ivwevz qbgdz iz ywlqvvi xu rdzrxd jussi il kbqls qvvci pyttvjpv ipjqbpfcu re yrea wvq ipqh qjrwe xdc svhe oas ioqvsoi exks lbg ylosjuxqc jou vgeqvts cbydoyyd ru ewv fxoosqz uwsqs eale dbiss tywv ri yxuwsz iz\n",
      "Not updating anymore after iteration 52\n",
      "Iter 0 of start 1: souhnac rbbapyrm sgrv az pmoauzv utez baufu glb vzyaf apyf cbj rtyr ecaijmzrz ouhjyr vjngrz bf vb abyzb py az hocmz uvf vtncjvr egfnpiqrgc nb pvnacaun az by uobcz j notqlcg p tbovf uujv gnbqn g vjggvz uyx mzz noz tgnafz egcg bw gcz jbfrx pg pu u jub j ogyz tw fcpypvr tqw noa mhvaay gvf czlovunpvl noa ipciqvggjtv jczvahac j wpvx ebuzvw lcbtpvr rfpe gkbqn gcz atono joavzyzc pn ju u fgah xfjxsvz ytyzenzc jv eb ubqv joavahaf j wpyf ebmzvw pvybvovggcpvz euompyl nawbfa ibqwjy tgfzobquau gyx kfjvrpvr qh nca fzuf bw ayafz qqyzcgr p aaan uvx auhzijuvrz tcavahac ez obetu rag uoso gv oeezc ouvf tq ea gcug pn fapojczu u unftvr etfgv ecpyiperz gt ecahzyg aa wfbe xavpkacgnarz ugzehpyl pynb gca unczag uvf eznotxjiuvrb dvtsdjyr habera m cugm tww gczv p gsibovn jg cjro njaa gb ran gt mzg gm utbv gm p suy gopu ju az mokugjnqna wtf ejunbr gyx nuvv tpgc g hcpvtmthojsgv qvbofpmo sunb ncftjm cpamavw oeby cpm mttcx j pqjzgvz nuda nb noz ucjh goafz ju vtnojyl mqfhcpmjvl jv ncpm jw nczz nqg dvzj pn gvebmg urv azy py gcapc farcaa ubea gpea tc tgcac icafpmo yzcb vzgfvb noz mgaa qazrpylm nttgcxu goa biauy jpnc ea goacz ybj pm ztqf pymorgc spnz bq goa agycunntzu narnax cbovf nz joufhau gu jyfjuv jmvzm nb sbfuv caawu ibeazfsz uocctqvxu jg jpgc czc mocq fjron gvf vawg gca mnfzanu nudz zbo tugzftufx pnm zinfzaz fbtvnbtv jm noa nungacb jcaca gogg vbkvz abvz ju jumcax kb\n",
      "Iter 0 of start 2: bawtovh cnnvuycj bicz vq ujavwqz wfsq nvwkw ien zqyvk vuyk hng cfyc shvmgjqcq awtgyc zgoicq nk zn vnyqn uy vq tahjq wzk zfohgzc sikoumpcih on uzovhvwo vq ny wanhq g oafpehi u fnazk wwgz ionpo i zgiizq wyl jqq oaq fiovkq sihi nx ihq gnkcl ui uw w gwn g aiyq fx khuyuzc fpx oav jtzvvy izk hqeazwouze oav muhmpziigfz ghqzvtvh g xuzl snwqzx ehnfuzc ckus irnpo ihq vfaoa gavzqyqh uo gw w kivt lkglbzq yfyqsoqh gz sn wnpz gavzvtvk g xuyk snjqzx uzynzaziihuzq swajuye ovxnkv mnpxgy fikqanpwvw iyl rkgzcuzc pt ohv kqwk nx vyvkq ppyqhic u vvvo wzl vwtqmgwzcq fhvzvtvh sq ansfw cvi waba iz assqh awzk fp sv ihwi uo kvuaghqw w wokfzc sfkiz shuymuscq if shvtqyi vv xkns lvzurvhiovcq wiqstuye uyon ihv wohqvi wzk sqoaflgmwzcn dzfbdgyc tvnscv j hwij fxx ihqz u ibmnazo gi hgca ogvv in cvo if jqi ij wfnz ij u bwy iauw gw vq jarwigopov xfk sgwonc iyl owzz fuih i thuzfjftagbiz pznakuja bwon ohkfgj huvjvzx asny huj jffhl g upgqizq owdv on oaq whgt iavkq gw zfoagye jpkthujgze gz ohuj gx ohqq opi dzqg uo izsnji wcz vqy uy ihvuh kvchvv wnsv iusv fh fihvh mhvkuja yqhn zqikzn oaq jivv pvqcuyej offihlw iav nmvwy guoh sv iavhq yng uj qfpk uyjacih buoq np iav viyhwoofqw ovcovl hnazk oq gawktvw iw gykgwz gjzqj on bnkwz hvvxw mnsvqkbq wahhfpzlw gi guih hqh jahp kgcao izk zvxi ihv jokqvow owdq qna fwiqkfwkl uoj qmokqvq knfzonfz gj oav owoivhn ghvhv iaii znrzq vnzq gw gwjhvl rn\n",
      "Iter 0 of start 3: sbektay mooauvml sqmc ah ulbaehc egfh oaepe qwo chvap auvp yoi mgvm fyanilhmh bekivm citqmh op co aovho uv ah kbylh ecp cgtyicm fqptunzmqy to uctayaet ah ov eboyh i tbgzwyq u gobcp eeic qtozt q ciqqch evd lhh tbh gqtaph fqyq or qyh iopmd uq ue e ieo i bqvh gr pyuvucm gzr tba lkcaav qcp yhwbcetucw tba nuynzcqqigc iyhcakay i rucd foehcr wyogucm mpuf qjozt qyh agbtb ibachvhy ut ie e pqak dpidsch vgvhfthy ic fo eozc ibacakap i ruvp folhcr ucvocbcqqyuch febluvw taropa nozriv gqphbozeae qvd jpicmucm zk tya phep or avaph zzvhyqm u aaat ecd aekhniecmh gyacakay fh bofge maq ebsb qc bffhy becp gz fa qyeq ut paubiyhe e etpgcm fgpqc fyuvnufmh qg fyakhvq aa rpof dacujayqtamh eqhfkuvw uvto qya etyhaq ecp fhtbgdinecmo xcgsxivm kaofma l yeql grr qyhc u qsnobct iq yimb tiaa qo mat qg lhq ql egoc ql u sev qbue ie ah lbjeqitzta rgp fietom qvd tecc guqy q kyucglgkbisqc zcobpulb seto typgil yualacr bfov yul lggyd i uzihqch texa to tbh eyik qbaph ie cgtbivw lzpkyulicw ic tyul ir tyhh tzq xchi ut qcfolq emc ahv uv qyauy pamyaa eofa qufa gy gqyay nyapulb vhyo chqpco tbh lqaa zahmuvwl tggqyde qba onaev iuty fa qbayh voi ul hgzp uvlbmqy suth oz qba aqvyettghe tamtad yobcp th ibepkae qe ivpiec ilchl to sopec yaare nofahpsh ebyygzcde iq iuqy yhy lbyz pimbt qcp carq qya ltphate texh hob geqhpgepd utl hntphah pogctogc il tba tetqayo iyaya qbqq cojch aoch ie ielyad jo\n",
      "Not updating anymore after iteration 53\n",
      "Iter 0 of start 1: eabvtuz kaygimbh ebko cu nwrgboo hagu xobzw sby moyoz cisk rai kymb vzotiwokx rsyisb knttku az ma cymux ns gx ugzwu bsp syqrnml vbztitgksz ta nsqozohq co ys hryzo n qaawbat n iywkk wsno bdagq b kntqko ssp wuo tro isquzn ubzt yj qau iazop nq iw b ibx n rsyo aj pznyisl aqq qru hvoous bmp zobgobqisb qao enztgksqnam faumofuz n qimk cnhukq bzaiiml bzic sdywt qro gagta frosuyuz nt nh b pbcu pznjxkx myfucdoz im gn hygk fausoyuz n qimp cxhuoj nsfaowsqsznox vbwwiml dujazo eyjqis fbzuaywwuw bsk dzisbimb wv qro zubz aj ofuzx qwsozbk n cout bmk uwuutibkon fromoyoz gx rnvaw luq hger ss guvoz rsmk aj gu qrbq it zuegnzuh s hqzysb cazso vznstiuoo ty uzofomq go jzac kukiluzstukx wtouvnml nmty tau wqzooq bmk cutaapntbokn msyednmb vuavoo w asqw yjj qaos i betagmt iq riba tnco qa but qa wus sh waym bh i ebs qaiw nh gn hgdwqntwto qyz vihqak bsp dbkk fita b uaioyhyvanebo jkygznhr tbta trzafh richooq guam aih hfyzk i rgioton tsmu qy tru hanu qaozo nh sytrisb wgzvzihimb im qriw nj taux dgq msui nq skcawq skk gum is qaunz polzuu hycu qigo yz yqroz eroznha yuzx mobzkx qau wsgu jouonslh tyfbzpw qau aeobs fita go trozu syf iw xagz nmhwobz eitx aj qro cbsabqtauw dooqok zagmp dn irbzfow sw ispnbm ihkoh dn eazbk zoojw tagcuzeu hwzzagmpw it iiqr roz hwzj znlrq bmp oojq tau htzuotw tsmo nyw istuziszk nqh ovtzugo paisqaim nw tro dbtqozx faozu tabt sydko gako nh fbwaok lx fbfow bmp taakok ln dzuojow fritr s joi aagzh uzoyiagh iozo agt aq hnbrt yj obsp oayd sq tau ezafkh yj fstuz bbxozh qrozu enzewgscdgksto qro titx yj b kzobcn wbllbqr bjquzsaam ba jzyc eazoubzh ayyd ty eyumtiuw wkiv smp jzyc trumeo dn faiqorsok mazqafszk iast ky xyg woo uahtuk kimu wikust wosqnsuow sok szagmk qro taim wtbsp qrywhbmkh guam qaagwssph yq caztsk gum jipop ns yeubs zuyuznuh hyco oubsnsl bbbnmhq tru hvnoow wycu wubtup wuas qro vnoz aobkh hacu kyadisb ayuz qao dwofbzmw aj hrnvh qzyc erims wycu anla boajq im tro znblisl sh nj hqznynmb qa bot s wqnkk luttoz wusiszp uuov lwt qruho szu boo kssphgus aj ioom psnw uomq wv nm osta bmp uobwqoz tiok ty tawmqozw ssnoup qy lostruw tknmerop ta kohdh rai qrom iw triw szo qru bzoos jnooph laso iasq pa trun ruzu dwt oyyd auzu eagu gazu ezafkw vbtisl hqzbibaq jyz tao ibqoz bmk hoocnmbkx dywsk qaz s piyo htzbsbu mytrnmb fikk tastomq qauc lgt tau uvqzogowt kignt aj qru osmp oyitozisl wmpuz tro waskn kou aq xyspoz iszoragwoh iiok myq wwqqieo ma trux cgwq lut cwwq bh mnbr tao fstuz sh trox uawwilkx tbs fiqrawq jbkknsl is smk truzo tron wtsmp cioow yj qaug oublguw imkbmpozw sok qrux tagu qzyc ksmow bmp bokunw wtzuuth ssk syomwuw maztr ubwq hagqa bsp foht noq rozo qaux boo gmitu tuok go paoh qru gsbmuqne fnztgu aj tro suopkoh aj qro tacvswhow aj bok qaawo hriuh sqtzbet qaog qrntruz amto cyzo wbx nyw szu nm\n",
      "Iter 0 of start 2: jlnexdo vltypsni jnva kd rbmynaa ilyd ganob unt satao kpuv mlp vtsn eoaxpbavg mutpun vrxxvd lo sl ktsdg ru yg dyobd nuh utzmrsf enoxpxyvuo xl ruzaoaiz ka tu imtoa r zllbnlx r ptbvv bura nqlyz n vrxzva uuh bda xma puzdor dnox tw zld ploah rz pb n png r muta lw hortpuf lzz zmd ieaadu nsh oanyanzpun zla jroxyvuzrls cldsacdo r zpsv kridvz nolppsf nopk uqtbx zma ylyxl cmaudtdo rx ri n hnkd horwgvg stcdkqao ps yr ityv clduatdo r zpsh kgidaw ruclabuzuorag enbbpsf qdwloa jtwzpu cnodltbbdb nuv qopunpsn be zma odno lw acdog zbuaonv r kadx nsv dbddxpnvar cmasatao yg mrelb fdz iyjm uu ydeao musv lw yd zmnz px odjyrodi u izotun kloua eoruxpdaa xt doacasz ya wolk vdvpfdouxdvg bxadersf rsxt xld bzoaaz nsv kdxllhrxnavr sutjqrsn edleaa b luzb tww zlau p njxlysx pz mpnl xrka zl ndx zl bdu ui blts ni p jnu zlpb ri yr iyqbzrxbxa zto epizlv nuh qnvv cpxl n dlpatitelrjna wvtyorim xnxl xmolci mpkiaaz ydls lpi ictov p mypaxar xusd zt xmd ilrd zlaoa ri utxmpun byoeopipsn ps zmpb rw xldg qyz sudp rz uvklbz uvv yds pu zldro hafodd itkd zpya to tzmao jmaoril tdog sanovg zld buyd wadarufi xtcnohb zld ljanu cpxl ya xmaod utc pb glyo rsibano jpxg lw zma knulnzxldb qaazav olysh qr pmnocab ub puhrns pivai qr jlonv oaawb xlykdojd iboolyshb px ppzm mao ibow orfmz nsh aawz xld ixodaxb xusa rtb puxdopuov rzi aexodya hlpuzlps rb xma qnxzaog claod xlnx utqva ylva ri cnblav fg cncab nsh xllvav fr qodawab cmpxm u wap llyoi doatplyi paoa lyx lz irnmx tw anuh altq uz xld jolcvi tw cuxdo nngaoi zmaod jrojbyukqyvuxa zma xpxg tw n voankr bnffnzm nwzdoulls nl wotk jloadnoi lttq xt jtdsxpdb bvpe ush wotk xmdsja qr clpzamuav slozlcuov plux vt gty baa dlixdv vpsd bpvdux bauzrudab uav uolysv zma xlps bxnuh zmtbinsvi ydls zllybuuhi tz kloxuv yds wphah ru tjdnu odtdordi itka adnuruf nnnrsiz xmd ieraab btkd bdnxdh bdlu zma erao lanvi ilkd vtlqpun ltdo zla qbacnosb lw imrei zotk jmpsu btkd lrfl nalwz ps xma ornfpuf ui rw izortrsn zl nax u bzrvv fdxxao bdupuoh ddae fbx zmdia uod naa vuuhiydu lw paas hurb dasz be rs auxl nsh danbzao xpav xt xlbszaob uuradh zt fauxmdb xvrsjmah xl vaiqi mlp zmas pb xmpb uoa zmd noaau wraahi flua pluz hl xmdr mdod qbx attq ldod jlyd ylod jolcvb enxpuf izonpnlz wto xla pnzao nsv iaakrsnvg qtbuv zlo u hpta ixonund stxmrsn cpvv xluxasz zldk fyx xld dezoayabx vpyrx lw zmd aush atpxaopuf bshdo xma bluvr vad lz gtuhao puoamlybai ppav stz bbzzpja sl xmdg kybz fdx kbbz ni srnm xla cuxdo ui xmag dlbbpfvg xnu cpzmlbz wnvvruf pu usv xmdoa xmar bxush kpaab tw zldy adnfydb psvnshaob uav zmdg xlyd zotk vusab nsh navdrb bxoddxi uuv utasbdb sloxm dnbz ilyzl nuh caix raz maoa zldg naa yspxd xdav ya hlai zmd yunsdzrj croxyd lw xma udahvai lw zma xlkeubiab lw nav zllba impdi uzxonjx zlay zmrxmdo lsxa ktoa bng rtb uod rs\n",
      "Iter 0 of start 3: vrjcqzo irmbdsjl vjip tz kgubjpp lrbz xpjog wjm spmpo tdwi urd imsj copqdgpix uwmdwj ikqqiz ro sr tmszx kw bx zbogz jwe wmyuksf cjoqdqbiwo qr kwypoply tp mw lumop k yrrgjrq k dmgii gwkp jnrby j ikqyip wwe gzp qup dwyzok zjoq mh yrz drope ky dg j djx k uwmp rh eokmdwf ryy yuz lcppzw jse opjbpjydwj yrp vkoqbiwykrs arzspazo k ydsi tklziy jorddsf jodt wnmgq yup brbqr aupwzmzo kq kl j ejtz eokhxix smaztnpo ds bk lmbi arzwpmzo k ydse txlzph kwarpgwywokpx cjggdsf nzhrop vmhydw ajozrmggzg jwi nodwjdsj gc yup ozjo rh pazox ygwpoji k tpzq jsi zgzzqdjipk aupspmpo bx ukcrg fzy lbvu ww bzcpo uwsi rh bz yujy dq ozvbkozl w lyomwj trowp cokwqdzpp qm zopapsy bp hort izidfzowqzix gqpzcksf ksqm qrz gyoppy jsi tzqrrekqjpik swmvnksj czrcpp g rwyg mhh yrpw d jvqrbsq dy udjr qktp yr jzq yr gzw wl grms jl d vjw yrdg kl bk lbngykqgqp ymo cdlyri jwe njii adqr j zrdpmlmcrkvjp himboklu qjqr quoral udtlppy bzrs rdl lamoi d ubdpqpk qwsz ym quz lrkz yrpop kl wmqudwj gbocodldsj ds yudg kh qrzx nby swzd ky witrgy wii bzs dw yrzko epfozz lmtz ydbp mo myupo vupoklr mzox spjoix yrz gwbz hpzpkwfl qmajoeg yrz rvpjw adqr bp qupoz wma dg xrbo kslgpjo vdqx rh yup tjwrjyqrzg nppypi orbse nk dujoapg wg dwekjs dlipl nk vroji opphg qrbtzovz lgoorbseg dq ddyu upo lgoh okfuy jse pphy qrz lqozpqg qwsp kmg dwqzodwoi kyl pcqozbp erdwyrds kg qup njqypox arpoz qrjq wmnip brip kl ajgrpi fx ajapg jse qrripi fk nozphpg audqu w hpd rrbol zopmdrbl dpop rbq ry lkjuq mh pjwe prmn wy qrz vorail mh awqzo jjxpol yupoz vkovgbwtnbiwqp yup qdqx mh j iopjtk gjffjyu jhyzowrrs jr homt vropzjol rmmn qm vmzsqdzg gidc wse homt quzsvp nk ardypuwpi sroyrawoi drwq im xmb gpp zrlqzi idsz gdizwq gpwykwzpg wpi worbsi yup qrds gqjwe yumgljsil bzrs yrrbgwwel my troqwi bzs hdepe kw mvzjw ozmzokzl lmtp pzjwkwf jjjksly quz lckppg gmtz gzjqze gzrw yup ckpo rpjil lrtz imrndwj rmzo yrp ngpajosg rh lukcl yomt vudsw gmtz rkfr jprhy ds qup okjfdwf wl kh lyokmksj yr jpq w gykii fzqqpo gzwdwoe zzpc fgq yuzlp woz jpp iwwelbzw rh dpps ewkg zpsy gc ks pwqr jse zpjgypo qdpi qm qrgsypog wwkpze ym fpwquzg qiksvupe qr iplnl urd yups dg qudg wop yuz joppw hkppel frwp drwy er quzk uzoz ngq pmmn rzoz vrbz broz voraig cjqdwf lyojdjry hmo qrp djypo jsi lpptksjix nmgwi yro w edmp lqojwjz smquksj adii qrwqpsy yrzt fbq qrz zcyopbpgq idbkq rh yuz pwse pmdqpodwf gsezo qup grwik ipz ry xmwepo dwopurbgpl ddpi smy ggyydvp sr quzx tbgy fzq tggy jl skju qrp awqzo wl qupx zrggdfix qjw adyurgy hjiikwf dw wsi quzop qupk gqwse tdppg mh yrzb pzjfbzg dsijsepog wpi yuzx qrbz yomt iwspg jse jpizkg gqozzql wwi wmpsgzg sroqu zjgy lrbyr jwe aplq kpy upop yrzx jpp bsdqz qzpi bp erpl yuz bwjszykv akoqbz rh qup wzpeipl rh yup qrtcwglpg rh jpi yrrgp ludzl wyqojvq yrpb yukquzo rsqp tmop gjx kmg woz ks\n",
      "Not updating anymore after iteration 36\n",
      "Iter 0 of start 1: bforhgy bvukothi sobb kr oifkogf iukr xrmyi mhv trjry kotq pui buth rlgsdirbx foeojp bdhhbg uy ju kujgz oj kx rcyir ota tvhfojp cmlhoscbmy hv ojhrlgev kr ut ifuyr d hfuchfv d iudba imdf mnudh m fdvhbr mtq egr hpr imhgyz cmyh vz hpg suyfa dh de o ioz o poer vz aydeotp vzz hfg ecbgrt mta yrpcbmhotp hpr bdlsdfmvovj sprtregy d zdja kzirbz hyuidjh hldk mnvdh vpg kvdhp sfrtgjrl ov de o qmkr ayoggfz tujgknrl oj kz eucf sprjrerl d zdta kxirfz dteufcjvoyobx rmciojp nrtvyg sutzdt soyrpucire ojq uldjhdjh cr vpg lroy vz reryz tdjglmb d kggv mta rirrsdoffx iprtrjgy kx pxcui hrv idsp mj dccrl pmta vz kr hfmv ov yrwdolgi m ivlujh kulob ryotbocbg hu cygerjh kr zluk agbongyohrbz ehgcrojp ojvv vpg ihlgrh mtq krhpuqobofbz wjvbydth rgucbg e fmve vzt hfgt d mssudth oh fopp hdkr hu hrv hu igm mi ivvj oi d bot vfde oe kz ecnihovchg zvy rdihub oja umbf idvp o rpdfviucfosof tbvcydip bovu vpyuse pokirbt crvt pdi iiuya o wcdghbz vowg hu vpg ipdr hfryr di juvfdjh edycldedjp dj vfdi dz hfgx udh wjri dv mbkvih mff kgt dt hprdl qgplrr iukr hdkg ul uvpgy sfgldip erlz tgolbz hpg imkg trrbdjhe vuimyqe vpr usgoj sdvf kr vfgyr tui de zucl dtecboy bohz vz vfr kotpmvhvri ugfvrq yvdjq ux ipmyjri me djqooj oibri uz suymb lgrzi sukkrlbg iclyudjai ov sohf fgy idlt lohfh ojq bgzv hfr evlgrvi hmyr xvd imvrysmlq dve rqvlgkr quitvvit oe vfg nohhrlx sfrlr hpmh jvufr kvbg oi imefga ux smjge mja suvbra nz uygrnre sfobf o tgi pvdle clreouce iryg uch vz idhph vt foja bvuw ov vpr bluiqe uz smhgy hmnryi vfrlg bdlbckokudfmhg hpr bdvz ut o qyrmkx ionuohf otvgljvvj hv zluk bvyfrmyi fvvy hv bugjvdre ibdc mja tlvk vfgjsg ux ipdvgfobb tvyvpimyq ifoh qv xuc irr ruihgq foyg idbgtv egjhdtrfe mbb myucja hpg vuij ehmja vpvcimtqi crut hpvdimjai vt kulhmf krt toara oj usrmj lgegloge evkg fgmtdth mpmdjiv hfr icdfre evkg irohrq dcvj hpg cogl fgoai ivkg fuvwojh uegy vfr ncfiolyi ut ipore tlvk spdjo evkr pdpp obuth oj vpr lohpdjh me ot ehldjoth hu prh m evdfb ughvgy irmiolq rggc uch hfrig oyr mfb botqikrt vz srrw qmxi cgjv dr oj fohp ota cbmehrl hdga hv budjhryi toobrq hv urtbfgi bfdjbpra vu qgiye pus vfrt oi hfoi oyr vpg plrrt tdgfae hvtg ifoh qu hfgz fglg uch bvuy prlr sukg kuyr byviai cosojp ehlmopfv zul hfr imhgy mjq eggkothfz uudta tuy m adeg ehlmjhg jvhfdtp idff svtvgjh vpgk ncv vfg gqvlrkrev bokoh vt hfr bmta fvohgyotp cjary vpr efmqx frr vz zvjqry ioyrfvdiri sobb tuv idztdbg ju vfrx kciv pgv xcih oe tdhp hfr imvgy me vprx cuiednfz boj idhpvdv zmbfdtp dj oja hprlg hfgx evotq kofre ut hfrk brmpcge otbmtagli mfb hfrz sukr zlvk fmjge oja mbfrxi evlrrvi ojq oegtcri tulhp rmiv ivdvf mjq igih xrh frlr vpgx mff cjohr hgfb kg auri hpr kopjrhos jdyhdg ut vpr tgrqbge vt hpg bvkrmeire ut obb hpveg ipdce ovvlobv hfrk vpovpgl utbg kvlr ioz xuc myr oj\n",
      "Iter 0 of start 2: tecdinz txoqclib jctt qd cbeqcne boqd adszb six ldfdz qclh pob toli dknjmbdta ecucfp tmiitn oz fo qofng cf qa dvzbd clw lxiecfp vskicjvtsz ix cfidknux qd ol beozd m ieoviex m bomtw bsme syomi s emxitd slh und ipd bsinzg vszi xg ipn jozew mi mu c bcg c pcud xg wzmuclp xgg ien uvtndl slw zdpvtsiclp ipd tmkjmesxcxf jpdldunz m gmfw qgbdtg izobmfi ikmq syxmi xpn qxmip jedlnfdk cx mu c hsqd wzcnneg lofnqydk cf qg uove jpdfdudk m gmlw qabdeg mluoevfxczcta dsvbcfp ydlxzn jolgml jczdpovbdu cfh okmfimfi vd xpn kdcz xg dudzg lmfnkst m qnnx slw dbddjmceea bpdldfnz qa pavob idx bmjp sf mvvdk pslw xg qd iesx cx zdrmcknb s bxkofi qokct dzcltcvtn io vznudfi qd gkoq wntcynzcidtg uinvdcfp cfxx xpn bikndi slh qdipohctcetg rfxtzmli dnovtn u esxu xgl ienl m sjjomli ci ecpp imqd io idx io bns sb bxxf cb m tcl xemu cu qg uvybicxvin gxz dmbiot cfw oste bmxp c dpmexbovecjce ltxvzmbp tcxo xpzoju pcqbdtl vdxl pmb bbozw c rvmnitg xcrn io xpn bpmd iedzd mb foxemfi umzvkmumfp mf xemb mg iena omi rfdb mx stqxbi see qnl ml ipdmk hnpkdd boqd imqn ok oxpnz jenkmbp udkg lncktg ipn bsqn lddtmfiu xobszhu xpd ojncf jmxe qd xenzd lob mu govk mluvtcz tcig xg xed qclpsxixdb onexdh zxmfh oa bpszfdb su mfhccf cbtdb og jozst kndgb joqqdktn bvkzomfwb cx jcie enz bmkl kciei cfh tngx ied uxkndxb iszd axm bsxdzjskh mxu dhxknqd hoblxxbl cu xen yciidka jedkd ipsi fxoed qxtn cb bsuenw oa jsfnu sfw joxtdw yg ozndydu jecte c lnb pxmku vkducovu bdzn ovi xg bmipi xl ecfw txor cx xpd tkobhu og jsinz isydzb xedkn tmktvqcqomesin ipd tmxg ol c hzdsqa bcyocie clxnkfxxf ix gkoq txzedszb exxz ix tonfxmdu btmv sfw lkxq xenfjn oa bpmxnectt lxzxpbszh beci hx aov bdd dobinh eczn bmtnlx unfimldeu stt szovfw ipn xobf uisfw xpxvbslhb vdol ipxmbsfwb xl qokise qdl lcwdw cf ojdsf knunkcnu uxqn enslmli spsmfbx ied bvmedu uxqn bdcidh mvxf ipn vcnk encwb bxqn eoxrcfi ounz xed yvebckzb ol bpcdu lkxq jpmfc uxqd pmpp ctoli cf xpd kcipmfi su cl uikmfcli io pdi s uxmet onixnz bdsbckh dnnv ovi iedbn czd set tclhbqdl xg jddr hsab vnfx md cf ecip clw vtsuidk imnw ix tomfidzb lcctdh ix odltenb temftpdw xo hnbzu poj xedl cb iecb czd xpn pkddl lmnewu ixln beci ho ieng enkn ovi txoz pdkd joqn qozd tzxbwb vcjcfp uikscpex gok ied bsinz sfh unnqclieg oomlw loz s wmun uiksfin fxiemlp bmee jxlxnfi xpnq yvx xen nhxkdqdux tcqci xl ied tslw excinzclp vfwdz xpd uesha edd xg gxfhdz bczdexmbdb jctt lox bmglmtn fo xeda qvbx pnx avbi cu lmip ied bsxnz su xpda vobumyeg tcf bmipxmx gstemlp mf cfw ipdkn iena uxclh qcedu ol iedq tdspvnu cltslwnkb set iedg joqd gkxq esfnu cfw stedab uxkddxb cfh cunlvdb lokip dsbx bxmxe sfh bnbi adi edkd xpna see vfcid inet qn wodb ipd qcpfdicj fmzimn ol xpd lndhtnu xl ipn txqdsubdu ol ctt ipxun bpmvu cxxkctx iedq xpcxpnk oltn qxkd bcg aov szd cf\n",
      "Iter 0 of start 3: murdico mwlervif srmm ed rfuercu fled adxof xiw vdqdo ervj blf mlvi dycshfdma urgrqb mhiimc lo ql elqct rq ea dzofd rvk vwiurqb zxyirszmxo iw rqidycgw ed lv fulod h iulziuw h flhmk fxhu xplhi x uhwimd xvj gcd ibd fxicot zxoi wt ibc slouk hi hg r frt r brgd wt kohgrvb wtt iuc gzmcdv xvk odbzmxirvb ibd mhyshuxwrwq sbdvdgco h thqk etfdmt iolfhqi iyhe xpwhi wbc ewhib sudvcqdy rw hg r jxed korccut vlqcepdy rq et glzu sbdqdgdy h thvk eafdut hvgluzqwrorma dxzfrqb pdvwoc slvthv srodblzfdg rqj lyhqihqi zd wbc ydro wt dgdot vhqcyxm h eccw xvk dfddshruua fbdvdqco ea bazlf idw fhsb xq hzzdy bxvk wt ed iuxw rw odnhrycf x fwylqi elyrm dorvmrzmc il zocgdqi ed tyle kcmrpcoridmt giczdrqb rqww wbc fiycdi xvj edibljrmrumt nqwmohvi dclzmc g uxwg wtv iucv h xsslhvi ri urbb ihed il idw il fcx xf fwwq rf h mrv wuhg rg et gzpfirwzic two dhfilm rqk lxmu fhwb r dbhuwflzursru vmwzohfb mrwl wbolsg brefdmv zdwv bhf fflok r nzhcimt wrnc il wbc fbhd iudod hf qlwuhqi ghozyhghqb hq wuhf ht iuca lhi nqdf hw xmewfi xuu ecv hv ibdhy jcbydd fled ihec ly lwbco sucyhfb gdyt vcrymt ibc fxec vddmhqig wlfxojg wbd lscrq shwu ed wucod vlf hg tlzy hvgzmro mrit wt wud ervbxwiwdf lcuwdj owhqj la fbxoqdf xg hqjrrq rfmdf lt sloxm ycdtf sleedymc fzyolhqkf rw sriu uco fhyv yriui rqj mctw iud gwycdwf ixod awh fxwdosxyj hwg djwyced jlfvwwfv rg wuc priidya sudyd ibxi qwlud ewmc rf fxguck la sxqcg xqk slwmdk pt locdpdg surmu r vcf bwhyg zydgrlzg fdoc lzi wt fhibi wv urqk mwln rw wbd mylfjg lt sxico ixpdof wudyc mhymzerelhuxic ibd mhwt lv r jodxea frplriu rvwcyqwwq iw tyle mwoudxof uwwo iw mlcqwhdg fmhz xqk vywe wucqsc la fbhwcurmm vwowbfxoj furi jw alz fdd dlficj uroc fhmcvw gcqihvdug xmm xolzqk ibc wlfq gixqk wbwzfxvjf zdlv ibwhfxqkf wv elyixu edv vrkdk rq lsdxq ycgcyrcg gwec ucxvhvi xbxhqfw iud fzhudg gwec fdridj hzwq ibc zrcy ucrkf fwec ulwnrqi lgco wud pzufryof lv fbrdg vywe sbhqr gwed bhbb rmlvi rq wbd yribhqi xg rv giyhqrvi il bdi x gwhum lciwco fdxfryj dccz lzi iudfc rod xum mrvjfedv wt sddn jxaf zcqw hd rq urib rvk zmxgidy ihck iw mlhqidof vrrmdj iw ldvmucf muhqmbdk wl jcfog bls wudv rf iurf rod wbc byddv vhcukg iwvc furi jl iuct ucyc lzi mwlo bdyd slec elod mowfkf zrsrqb giyxrbuw tly iud fxico xqj gccerviut llhvk vlo x khgc giyxqic qwiuhvb fhuu swvwcqi wbce pzw wuc cjwydedgw mreri wv iud mxvk uwricorvb zqkdo wbd guxja udd wt twqjdo froduwhfdf srmm vlw fhtvhmc ql wuda ezfw bcw azfi rg vhib iud fxwco xg wbda zlfghput mrq fhibwhw txmuhvb hq rqk ibdyc iuca gwrvj erudg lv iude mdxbzcg rvmxvkcyf xum iudt sled tywe uxqcg rqk xmudaf gwyddwf rqj rgcvzdf vlyib dxfw fwhwu xqj fcfi adi udyd wbca xuu zqrid icum ec kldf ibd erbqdirs qhoihc lv wbd vcdjmcg wv ibc mwedxgfdg lv rmm ibwgc fbhzg rwwyrmw iude wbrwbcy lvmc ewyd frt alz xod rq\n",
      "Not updating anymore after iteration 42\n",
      "Iter 0 of start 1: qbhqfoy riigstig qhyr dp asbdhoy sigo fohys hci tpuoy gamb bxu yxmi tvpmsgprf bheatc ysfcyo xv ti gimpk sm df qjysp hmj txfkatc qhycsqwrhv ci atfpyosc do im sbiyo a ckxjcbc s diwyb ghay hxxwc h yaffyp htj sop fkp dhcpvk qhvf iv ckp dxvrj ac ag h uhk s kheo iv bvauatc xzv cko strppm hmj yocjyhcsti fbp qavmjyhfaxm ubompupy a zsmb gkgorz ivxuatc cyad hxiwf cko gxwcb dkotpupy sf ss h bhdq byarzrk tiupdlov am dk sxjy ukomoupy a vamj dkgprz smeirwmchvayf qhwgstc lpvxyo qxvvst dhvpkijspg htb lvstiati wt fbp yohy xv oeoyf vwmpvhr a gopf hmb ogqoqshryk ukompepy gf bktxs iof gjqk ht wqtpv bhmj xv do fkhc sf vpawsyps h sfyitc divhr qvstqaqyp fi tvpuotc gp zyid borslpvhfoyf sfpqqami atfi fbo sfvopc htj gofkijsqhyrf etiqesmi qoxtrp g bhfg xzz ckom s hqqijmf sf bsib csgp fx cof fi goh hs gixt hs a qhm fbag ag gk sjlsfscwfo viy qagfxr hmj xhyr dsck h tkayisxtbsmhy vrxjvask qhfx fkvius kagspyv wtxm bag guxvj s owapcyf chep fx cko gksq cbpvp sg mifksti swytyassti sm fbsg az ckok xjf wmpd sf hrgxgc hrr gpm st ckpsv joiypo gidp cado iv ifbpy qbpvssb upyk tohyyf fbo shdo zoorstis fxuhvbg fko iqphm usfb gp ckovo tid ag fiwv smgwyhv macf iz fko dhmbhccxpg lpycpb vijtb lk dbhyeps hs ambsht ssypg lf mxyhy ypovg mxddpvqp gjvviwmbg sf dsfb bpv gwvz yacbc hmb rovc fko sfvoocs fhep fiw dhfpvdhyj afg pncypgp jiumciut ss cbp lhffovk dbovo cbhc txlyo gxrp sg dhgkoj lf dhups hmj mxiyoj lk xyporpg uksqb h vpd kxjvs qvpuaxws dpvp iwf iz gaikc iz yhtb yxxw hc cko mvidbs xz uhcpv ihzpyg fboyp msyqwghgljyhcp ckp qacf iv h bvohdf shxxhcb hvfpytxxm ci vyxd mivyohvg bixw ci qipmcaos graq htj vyxd cbotmp xk uksfpbhrr txvcbdhvb dkhf jx fij gpo qigfpj rawp garpmc gotcsmoyg hyr hyijmj ckp cium gfhmj fkxwshmbs wqim fbxjghmjg iv diyfhr dot vslpb am xqoht voeoysog gidp rphmami hchsmsf cbo gqarog sxgo gphfpb jtim cbp qsoy bphjg gxdp yixesmc xeov cko xjydhveg iz gbats vvxg qksth sidp kack hyizc at ckp vacistc hs av sfyseati fx cpc h scarr xoffpv sohdhyb tpoq ljc fkogo hyp hry rhtjsgpt xz dppw bhfg qomf jt am rhcb htj trhgfov fspb ci miwtfovs mhsyob cx lotmkos qyammkpj fx jogwg kxu fkom sg ckas hvo cko cvpot zaprjs cxmo dbhf ji cbpk kpyp ljc yxie bpvo migo dxvp qviujs qhmati gcvhackc zxv ckp uhfoy hmb spodatiyf xijmj viv h jsuo sfvhmip txcbsti uayr mimcomc fbpd lwc cbp pnfvpdpsf ysgsf iv cbo rhtj yisfpystc wmbov fbp gkhbk rpo iv fitbpv dhyobxjgos uayy mic swzzsmp mx fkpf dwsf iof nwgf hg tack fko uhfov hg fbok qiggsxrk mht dscbiwc zhrratc at htj fbpvp cbpf gchmj gsrps xv fbpd rphiwos strhmbovs hry fbof qxdp vvig rhmog htj hryofs sfvppcg htj huotjps txyck phgc sxjfb hmb dpsc fpc koyp cbof hrr wtscp coyr go jios fko ghitocam eavcjp xz cko moojrpg xz cbp qidqhsspg xz hyy fbxgp gkats hffvhmc fkod fbscbov xmqo giyo shk fxw hyp sm\n",
      "Iter 0 of start 2: sxwsmkt ahhgiqhg swta ju rixjwkt ihgk mkwti wbh quokt grlx xdo tdlh qculiguam xwzrqb timbtk dc qh ghlue il jm sptiu wlp qdmerqb swtbisvawc bh rqmutkib jk hl ixhtk r bedpbxb i jhvtx gwrt wddvb w trmmtu wqp iku meu jwbuce swcm hc beu jdcap rb rg w owe i ewzk hc xcrorqb dyc bek iqauul wlp tkbptwbiqh mxu srclptwmrdl oxkluout r yilx gegkay hcdorqb btrj wdhvm bek gdvbx jekquout im ii w xwjs xtrayae qhoujnkc rl je idpt oeklkout r crlp jeguay ilzhavlbwcrtm swvgiqb nucdtk sdcciq jwcuehpiug wqx nciqhrqh vq mxu tkwt dc kzktm cvlucwa r gkum wlx kgsksiwate oekluzut gm xeqdi hkm gpse wq vsquc xwlp dc jk mewb im curvitui w imthqb jhcwa sciqsrstu mh qcuokqb gu ythj xkainucwmktm imussrlh rqmh mxk imckub wqp gkmehpiswtam zqhszilh skdqau g xwmg dyy bekl i wsshplm im xihx bigu md bkm mh gkw wi ghdq wi r swl mxrg rg ge ipnimibvmk cht srgmda wlp dwta jibe w qerthidqxilwt cadpcrie swmd mechoi ergiutc vqdl xrg godcp i kvrubtm bwzu md bek geis bxucu ig lhmeiqh ivtqtriiqh il mxig ry beke dpm vluj im wagdgb waa gul iq beuic pkhtuk ghju brjk hc hmxut sxuciix oute qkwttm mxk iwjk ykkaiqhi mdowcxg mek hsuwl oimx gu bekck qhj rg mhvc ilgvtwc lrbm hy mek jwlxwbbdug nutbux chpqx ne jxwtzui wi rlxiwq iitug nm ldtwt tukcg ldjjucsu gpcchvlxg im jimx xuc gvcy trbxb wlx akcb mek imckkbi mwzu mhv jwmucjwtp rmg ufbtugu pholbhoq ii bxu nwmmkce jxkck bxwb qdntk gdau ig jwgekp nm jwoui wlp ldhtkp ne dtukaug oeisx w cuj edpci scuordvi jucu hvm hy grheb hy twqx tddv wb bek lchjxi dy owbuc hwyutg mxktu litsvgwgnptwbu beu srbm hc w xckwjm iwddwbx wcmutqddl bh ctdj lhctkwcg xhdv bh shulbrki gars wqp ctdj bxkqlu de oeimuxwaa qdcbxjwcx jewm pd mhp guk shgmup arvu graulb gkqbilktg wta wthplp beu bhol gmwlp medviwlxi vshl mxdpgwlpg hc jhtmwa jkq cinux rl dskwq ckzktikg ghju auwlrlh wbwilim bxk gsrakg idgk guwmux pqhl bxu sikt xuwpg gdju thdzilb dzkc bek dptjwczg hy gxrqi ccdg seiqw ihju erbe wthyb rq beu crbhiqb wi rc imtizrqh md bub w ibraa dkmmuc ikwjwtx quks npb mekgk wtu wat awqpiguq dy juuv xwmg sklm pq rl awbx wqp qawgmkc miux bh lhvqmkci lwitkx bd nkqleki strlleup md pkgvg edo mekl ig beri wck bek bcukq yruapi bdlk jxwm ph bxue eutu npb tdhz xuck lhgk jdcu schopi swlrqh gbcwrbeb ydc beu owmkt wlx iukjrqhtm dhplp chc w piok imcwlhu qdbxiqh orta lhlbklb mxuj nvb bxu ufmcujuim tigim hc bxk awqp thimutiqb vlxkc mxu gewxe auk hc mhqxuc jwtkxdpgki ortt lhb ivyyilu ld meum jvim hkm fvgm wg qrbe mek owmkc wg mxke shggidae lwq jibxhvb ywaarqb rq wqp mxucu bxum gbwlp giaui dc mxuj auwhvki iqawlxkci wat mxkm sdju cchg awlkg wqp watkmi imcuubg wqp wokqpui qdtbe uwgb idpmx wlx juib mub ektu bxkm waa vqibu bkta gk phki mek gwhqkbrl zrcbpu dy bek lkkpaug dy bxu shjswiiug dy wtt mxdgu gerqi wmmcwlb mekj mxibxkc dlsk ghtk iwe mdv wtu il\n",
      "Iter 0 of start 3: slvscnb axxjgexj svba qz mglqvnb gxjn cnvbg vhx ezwnb jmil lrw brix epzigjzac lvomeh bgchbn rp ex jxizk gi qc stbgz vit erckmeh svbhgsfavp hx meczbngh qn xi glxbn m hkrthlh g qxfbl jvmb vrrfh v bmccbz vet gnz ckz qvhzpk svpc xp hkz qrpat mh mj v wvk g kvon xp lpmwmeh rdp hkn geazzi vit bnhtbvhgex clz smpitbvcmri wlnizwzb m dgil jkjnad xprwmeh hbmq vrxfc hkn jrfhl qknezwzb gc gg v lvqs lbmadak exwzqunp mi qk grtb wkninwzb m pmit qkjzad gioxafihvpmbc svfjgeh uzprbn srppge qvpzkxtgzj vel upgexmex fe clz bnvb rp nonbc pfizpva m jnzc vil njsnsgvabk wknizozb jc lkerg xnc jtsk ve fsezp lvit rp qn ckvh gc pzmfgbzg v gcbxeh qxpva spgesmsbz cx epzwneh jz dbxq lnaguzpvcnbc gczssmix mecx cln gcpnzh vet jnckxtgsvbac oexsogix snreaz j lvcj rdd hkni g vssxtic gc lgxl hgjz cr hnc cx jnv vg jxre vg m svi clmj mj jk gtugcghfcn pxb smjcra vit rvba qghk v ekmbxgrelgivb partpmgk svcr ckpxwg kmjgzbp feri lmj jwrpt g nfmzhbc hvoz cr hkn jkgs hlzpz gj ixckgex gfbebmggex gi clgj md hknk rtc fizq gc vajrjh vaa jzi ge hkzgp tnxbzn jxqz hmqn xp xclzb slzpggl wzbk envbbc cln gvqn dnnagexg crwvplj ckn xszvi wgcl jz hknpn exq mj cxfp gijfbvp imhc xd ckn qvilvhhrzj uzbhzl pxtel uk qlvbozg vg milgve ggbzj uc irbvb bznpj irqqzpsz jtppxfilj gc qgcl lzp jfpd bmhlh vil anph ckn gcpnnhg cvoz cxf qvczpqvbt mcj zyhbzjz txwihxwe gg hlz uvccnpk qlnpn hlvh erubn jraz gj qvjknt uc qvwzg vit irxbnt uk rbznazj wkgsl v pzq krtpg spzwmrfg qzpz xfc xd jmxkh xd bvel brrf vh hkn ipxqlg rd wvhzp xvdzbj clnbz igbsfjvjutbvhz hkz smhc xp v lpnvqc gvrrvhl vpczberri hx pbrq ixpbnvpj lxrf hx sxzihmng jams vet pbrq hlneiz rk wkgczlvaa erphlqvpl qkvc tr cxt jzn sxjczt amfz jmazih jnehginbj vba vbxtit hkz hxwi jcvit ckrfgvilg fsxi clrtjvitj xp qxbcva qne pguzl mi rsnve pnonbgnj jxqz azvimix vhvgigc hln jsmanj grjn jzvczl texi hlz sgnb lzvtj jrqz bxrogih ronp hkn rtbqvpoj xd jlmeg pprj skgev gxqz kmhk vbxdh me hkz pmhxgeh vg mp gcbgomex cr hzh v ghmaa rncczp gnvqvbl ezns uth cknjn vbz vab avetgjze rd qzzf lvcj snic te mi avhl vet eavjcnp cgzl hx ixfecnpg ivgbnl hr uneikng sbmiikzt cr tnjfj krw ckni gj hkmg vpn hkn hpzne dmzatg hrin qlvc tx hlzk kzbz uth brxo lzpn ixjn qrpz spxwtg svimex jhpvmhkh drp hkz wvcnb vil gznqmexbc rxtit pxp v tgwn gcpvixz erhlgex wmba ixihnih clzq ufh hlz zycpzqzgc bgjgc xp hln avet bxgczbgeh filnp clz jkvlk azn xp cxelzp qvbnlrtjng wmbb ixh gfddgiz ir ckzc qfgc xnc yfjc vj emhk ckn wvcnp vj clnk sxjjgrak ive qghlxfh dvaameh me vet clzpz hlzc jhvit jgazg rp clzq azvxfng geavilnpg vab clnc srqz ppxj avinj vet vabncg gcpzzhj vet vwnetzg erbhk zvjh grtcl vil qzgh czh knbz hlnc vaa feghz hnba jn txng ckn jvxenhmi omphtz rd hkn inntazj rd hlz sxqsvggzj rd vbb clrjz jkmeg vccpvih cknq clghlnp risn jxbn gvk crf vbz gi\n",
      "Not updating anymore after iteration 38\n",
      "Iter 0 of start 1: xjfevyn mklgfcwk bfsm gy ykvgiys klgy uyink ftl dysyn gyda vkc mkct euoxykomi jisfdw sfevso ln ck hkdyi fd gu xqnjo fdn ckevfcw efnefxqmin vk fdvynoje gy kd jvluy f evlqwjv f zlqma jfym fdkqv f sfeeso fda kyo ejo zivoui efuv kr vjo ckumn fv fk f cii f viso kp nnfmyct lrp ejo kemyoc ida uywqsfeydt vjy xfuxqsfefkd zvodomou y rydn gikymr wukcfdw wnyh idkqe ejy glqvj zvydymyu yv yj i nfhx anyttmi dlmygdon yc hi klqm zjycymou y rfda gikosr ydmksqcefnfsi efqkfcw borkno xlprfc ziuyvlqkoj idn dufctfcw qe vvy uyiu kp osoui rqdynfm f hoov ida okxybffmmi cvycomon hi vuekj wov kqbv ic qexon jfda kp hy eviv yv uooqfuoj f jenlct hkufs xnfdxfesy vk euymodv hy rnkh aosybyufeomi jvyxxfct ycvk vvy jvuyye icn goevkafxissu hckxhydw eykxso j jfvk kpr ejod f fbxkqcv ye jywj eyhy vl wyv vl kyf fj kkld fk y bfd vvfk yk hi jqbkvyeqey pln eyjelm fda dimm cfev f evyskklxjfxfm rmkqufkv xiel ejukck vfhjosp qxkc jfj jckna f oqyovmu eiwy vk vjo jvfx vjony yj dkejydt jqnxuyjfcw fc evfj fr evoi dqv wdoc fe isgljv ism hoc yd vjofn aownoo kkho vyhy ln lvjyn bvonyjv soni cofnmu vjo kfgy poosydtk elziunj vvy kxofc zyvv go ejony dkz yk ikqu yckqmfu xfei kp vjy gfdvieelok dyseyn ukqdn bi zjfnsyj ij fdayid fjmyk di bknis uoyrj blhhyubo kqnnkqcnj ye zfvv jyn jqur nywve fcn syrv vvo kvuoovj efhy ukq zfvonzfun yvk ylvnygo akcdvlcc yj vvo bivvouu zjouy vjie cldsy hkso yj zijjyn du cimyj icn xklson bu buootok zvfbv i ryz jlquj euymykqk cono kqe lp kywjv lr mfcn slkh ie ejo bulcaj lp zieou tizouj evono bynbqhigdqsiey evy xyeu kp i nuyihu jfdbivj ipvouclkc wk pulh xknsoinj jkkh vl blydeyoj jsye idn rnkg evocby bu cjfeojims ckuevzfua zviv nl ilq jyy elkvyn sfhy kysodv jycefdomk fms iukqda ejo elzd kvfca vvlqjfcnj qeld vvlqkidak lr hkuefs hyd pfron fc kxyic uysonyok jkgy syfdfcw ftiycjv vjy jefsok kkhy kyivyn qxld evy xyou jyfaj klgy sklhydw lson vjo bqmcinwk kr jvfek pulg bjydi kkgo vfwv islrv fd ejo uywwfdw fk fp kvnfmycw el tyv f jeyss bovvou joicfna xoox dqv ejoko iny fsm sidnkgod kr zyow aiuk eode qe yd miev fca xsfkeon eyya vl xlqdeonj dffsya vl docbvyj bsfcbvon ek aokwk jlc vvyd fj vjfk iuy vvy tnyoc rfymnj tkdy cjfv nk vvoi vono dqe sklw jouo xkgy hkny bukcnk xfxfct kvnfytjv pln evo cieou fda kyygyctsu blqca plu f aysy keuicwy clvjydt cyms blcvycv vjyh bqv vvo olvuohykv mfgfe kr vvo sidn mlfvonfdt qcayn ejo jvfni moy lp ulcnon cfuovkqkyk zysm cle jqppyxo cl ejou hqkv wye aqjv ik dfwj evy civou ik vvyi xkkkybsi bid cfejlqe pimmfdt fd fda evouy vvou jvica gfmyj lp vjoh soitqoj fcsfdnouj ims vjyu bkho pulh midoj icn fmsyij keuoovj ida fmycqok clnvj oije jkqvj fcn coje uye vyny vjoi fss qcyey eosm gy nlyj ejy giwdyvfx myueqy lp vjy dyonmyj lp vjo bkgxfkkyj lr fmm evkjo kvyek fveuixv vvyh vjyevyn ldxy glny jfi ukq iuy fd vjy xkqceni yd kkgo jywj mida lr sfwoj viho fshkke ici xfev ulq xsyijy fcn vod vk ldy yv biuuyyk ilq nkzc yc i afsy ica soimok ikq vvouy du f ekks fc vvy jvuyig ejyuo yj gfwyb yd ye mov evo gljv ibjycv hfcnya kr god by xsqcwya yc vyj aoyxokv nosyuyoj kefcn ejfe gfc lc vfj mowk kov jfk poov f tlyct ida vy cfms ydpfmmfdmu sofa ilq vl cfvon yp cfvyu vjyuy dy yd imm ejfv uotykc jjlqma ilq ymyn dy ivvfukv fc vjo tnofe igonfxfc ayjyue vnu vjfj ylxonygode yp ukqu xfnisfd jieeyd ek dy jqeesyoa zfvv f hyvixjujfxfm enkrokkkn uok ik osynu kdy hdkzk hynyeiefkc icn zivyn fno zynayn rln omyu dqe jyuo fj ic fueyke vo aokyuyk vl xifce ukq vvy nnoihfojv jvinyoke oqfyvoje gkke ydbvicvfdt dfv kr ukhfdvyb sidnjbfxo fd iss ejy mfssou kp ejo kibk cviv yj evy xvyor ysogode vo ohxslij evono kvicn vyk enooj yibj cfvv i vlmmlc euqcw ij yp i jyngfe ica i bnqxfryr zyuy cfvvyd ida jyuy jsyoxj vfk goiakz idn vjony jsyoe vfj bievsy idn qx rnkg uldaou xkveito wlok f ksoyei khlwy nyox ycel nyjefde clkamfcnj zycak f hitu zii uoibvfct vl lsyusfxxfdw kxquk lp hkqdeifdk diejya fd vjofu jyms jfny dmqo bqv vjlqwv ejy efxvquo mfyk evqj vnfcxon icn evkqwj evyk efcy vnyy jjihyk nkcd fvk kfwjj mywo mofsyj qxld vjyj jvyxvona k joia iov imm zouy sifd qdmykj ejo kjoevonn k oiy zyno rfron qekc ejo hityx jvnofg byrluy vfg wl mfkyv evy xuifufok fd aqdo zvod pkn jxkuok kd kxlnok lr gfsoj ukq ciao hcyy nyye fgkct vywyu mfmyoj zjfv fj vjy kdo xjfnh cicvycw cfeou ejouo fk dlv f aulx lp cfeon ejyny zouo cyftfuf bqe f bivfnibv kp jicn zkqmn ulq vuisys ulqn ejlqjica hfmoj el koy yv cju ayn vvo ellu ekoe kp eocdokjyo qekc jqanodmu uoxyfsydt vzk vidnrqsk lp kymmyn aymfboufeo zvovjou vl bqu jfg f xlfv cvfbv vy kiasu doonya lu fdsyje jyk gldyi fd f xyaykeuyfd euye el ukbwiziu doibv zvu yj fmhlje ymouu nkdqkv jyfseji dku zfev f uldqje jofmeji klqm fd vfh fv kkhy eyhy lu levyu xnizu el wk ek koi cju qxlc ikqu ryujv skiiwy fj f xikjoctou nyn ikq ilqujysp roos jqbv f gijvybfm sfdnfeykc zvyc ryujv vlma vjie ukq fcn ukqn jvye cyuo dlz lqe kp jfwvv lp mfcn zji aya ejy lmn eyukficj jkma ejy kof jksi cvi afa evo wnyyhj wymo yv f koxinfeo nyfei ida lcd bnkvvyn kp akmy jqnysi ims vvyk yk clv zfevlqe goicydt ica jeymm ayyxyu vjy gyfdycw lr ejie jvkui lp cfnxfjjqj zvk doxiqjy jo blqmn dke wnijx vvy ekngydvycw hysa fgfto vo kiz yd vjo pkqdvfyd xsqdtoa ycvk ye fcn zfj nnkcdya dqv vjfe kfgy yhfty zo kqnkyssyk joo fd iss uymouj fda lxofcj fv fk vjy ygiwo kr vjo qdtufkefdsy ejidekg lr sypy icn ejfk yj evo hoi vl yv fmm ckz cvyd y kfu vvie f ih fd ejy jfdyv lr tkfdw vk jyf cjydosyu f bytfc vk wulc jitu\n",
      "Iter 0 of start 2: bphnkie grschwor lhfg ci irkcyif rsci qiyer hds aifie ciam krw grwd nqvbirvgy pyfhao fhnkfv se wr xraiy ha cq bzepv hae wrnkhwo nhenhbzgye kr hakievpn ci ra pksqi h nkszopk h uszgm phig harzk h fhnnfv ham riv npv uykvqy nhqk rj kpv wrqge hk hr h wyy h kyfv rt eehgiwd sjt npv rngivw yam qiozfhniad kpi bhqbzfhnhra ukvavgvq i jiae cyrigj oqrwhao oeix yarzn npi cszkp ukiaigiq ik ip y ehxb meiddgy asgicave iw xy rszg upiwigvq i jham cyrvfj iagrfzwnhehfy nhzrhwo lvjrev bstjhw uyqikszrvp yae aqhwdhwo zn kki qiyq rt vfvqy jzaiehg h xvvk yam vrbilhhggy wkiwvgve xy kqnrp ovk rzlk yw znbve pham rt xi nkyk ik qvvzhqvp h pneswd xrqhf behabhnfi kr nqigvak xi jerx mvfiliqhnvgy pkibbhwd iwkr kki pkqiin ywe cvnkrmhbyffq xwrbxiao nirbfv p phkr rtj npva h hlbrzwk in piop nixi ks oik ks rih hp rrsa hr i lha kkhr ir xy pzlrkinzni tse nipnsg ham aygg whnk h nkifrrsbphbhg jgrzqhrk byns npqrwr khxpvft zbrw php pwrem h vzivkgq nyoi kr kpv pkhb kpvei ip arnpiad pzebqiphwo hw nkhp hj nkvy azk oavw hn yfcspk yfg xvw ia kpvhe mvoevv rrxv kixi se skpie lkveipk fvey wvhegq kpv rhci tvvfiadr nsuyqep kki rbvhw uikk cv npvei aru ir yrzq iwrzghq bhny rt kpi chakynnsvr aifnie qrzae ly uphefip yp hamiya hpgir ay lreyf qvijp lsxxiqlv rzeerzwep in uhkk pie pzqj eiokn hwe fijk kkv rkqvvkp nhxi qrz uhkveuhqe ikr iskeicv mrwaksww ip kkv lykkvqq upvqi kpyn wsafi xrfv ip uyppie aq wygip ywe brsfve lq lqvvdvr ukhlk y jiu pszqp nqigirzr wvev rzn st riopk sj ghwe fsrx yn npv lqswmp st uynvq dyuvqp nkvev lielzxycazfyni nki binq rt y eqiyxq phalykp ytkvqwsrw or tqsx brefvyep prrx ks lsianivp pfin yae jerc nkvwli lq wphnvpygf wrqnkuhqm ukyk es ysz pii nsrkie fhxi rifvak piwnhavgr hgf yqrzam npv nsua rkhwm kkszphwep znsa kkszryamr sj xrqnhf xia thjve hw rbiyw qifveivr prci fihahwo hdyiwpk kpi pnhfvr rrxi riykie zbsa nki bivq pihmp rsci frsxiao sfve kpv lzgwyeor rj pkhnr tqsc lpiay rrcv khok yfsjk ha npv qioohao hr ht rkehgiwo ns dik h pniff lvkkvq pvywhem bvvb azk npvrv yei hfg fyaercva rj uivo myqr nvan zn ia gynk hwm bfhrnve niim ks bszanvep ahhfim ks avwlkip lfhwlkve nr mvror psw kkia hp kphr yqi kki deivw jhigep drai wphk er kkvy kvev azn frso pvqv brci xrei lqrwer bhbhwd rkehidpk tse nkv wynvq ham riiciwdfq lszwm tsq h mifi rnqywoi wskpiad wigf lswkiwk kpix lzk kkv vskqvxirk ghchn rj kkv fyae gshkvehad zwmie npv pkhey gvi st qsweve whqvkrzrir uifg wsn pzttibv ws npvq xzrk oin mzpk yr ahop nki wykvq yr kkiy brrrilfy lya whnpszn tygghad ha ham nkvqi kkvq pkywm chgip st kpvx fvydzvp hwfhaevqp ygf kpiq lrxv tqsx gyavp ywe hgfiyp rnqvvkp yam hgiwzvr wsekp vypn przkp hwe wvpn qin kiei kpvy hff zwini nvfg ci esip npi cyoaikhb giqnzi st kpi aivegip st kpv lrcbhrrip sj hgg nkrpv rkinr hknqybk kkix kpinkie sabi csei phy qrz yqi ha kpi brzwney ia rrcv piop gyam sj fhovp kyxv hfxrrn ywy bhnk qsz bfiypi hwe kva kr sai ik lyqqiir ysz eruw iw y mhfi ywm fvygvr yrz kkvqi aq h nrrf hw kki pkqiyc npiqv ip choil ia in gvk nkv cspk ylpiwk xhweim rj cva li bfzwoim iw kip mvibvrk evfiqivp rnhwe nphn chw sw khp gvor rvk phr tvvk h dsiwd yam ki whgf iathgghagq fvhm ysz ks whkve it whkiq kpiqi ai ia ygg nphk qvdirw ppszgm ysz igie ai ykkhqrk hw kpv devhn ycvehbhw mipiqn keq kphp isbveicvan it qrzq bheyfha pynnia nr ai pznnfivm uhkk h xikybpqphbhg nerjvrrre qvr yr vfieq rai xarur xieinynhrw ywe uykie hev uiemie jse vgiq azn piqv hp yw hqnirn kv mvriqir ks byhwn qrz kki eevyxhvpk pkyeivrn vzhikvpn crrn ialkywkhad ahk rj qrxhakil fyaeplhbv ha yff npi ghffvq rt npv rylr wkyk ip nki bkivj ifvcvan kv vxbfsyp nkvev rkywe kir nevvp iylp whkk y ksggsw nqzwo yp it y piechn ywm y lezbhjij uiqi whkkia yam piqi pfivbp khr cvymru yae kpvei pfivn khp lynkfi yae zb jerc qsamvq brknydv osvr h rfviny rxsoi eivb iwns eipnhan wsrmghwep uiwmr h xydq uyy qvylkhwd ks sfiqfhbbhao rbzqr st xrzanyhar aynpim ha kpvhq pigf phei agzv lzk kpszok npi nhbkzqv ghir nkzp kehwbve ywe nkrzop nkir nhwi keii ppyxir erwa hkr rhopp giov gvhfip zbsa kpip pkibkvem r pvym yvk ygg uvqi fyha zagirp npv rpvnkvee r vyi uiev jhjve znrw npv xydib pkevhc lijsqi khc os ghrik nki bqyhqhvr ha mzav ukva tre pbrqvr ra rbsevr sj chfvp qrz wymv xwii eiin hcrwd kioiq ghgivp uphk hp kpi rav bphex wywkiwo whnvq npvqv hr ask h mqsb st whnve npiei uvqv wihdhqh lzn h lykheylk rt pywe urzge qsz kqyfif qsze npszpywm xhgvp ns rvi ik wpq mie kkv nssq nrvn rt nvwavrpiv znrw pzmevagq qvbihfiad kur kyaejzfr st riggie mighlvqhnv ukvkpvq ks lzq phc h bshk wkhlk ki rymfq avveim sq hafipn pir csaiy ha h bimirnqiha nqin ns qrloyuyq avylk ukq ip hgxspn igvqq erazrk pihfnpy arq uhnk h qsazpn pvhgnpy rszg ha khx hk rrxi nixi sq snkiq beyuq ns or nr rvy wpq zbsw yrzq jiqpk fryyoi hp h byrpvwdvq eie yrz yszqpift jvvf pzlk h cypkilhg fhaehnirw ukiw jiqpk ksgm kpyn qrz hwe qrze pkin wiqv asu szn rt phokk st ghwe upy mim npi sge niqrhywp prgm npi rvh prfy wky mhm nkv oeiixp oigv ik h rvbyehnv eihny yam swa lerkkie rt mrgi pzeify ygf kkir ir wsk uhnkszn cvywiad ywm pnigg miibiq kpi cihaiwo sj npyn pkrqy st whebhppzp ukr avbyzpi pv lszge arn oeypb kki nreciakiwo xifm hchdv kv ryu ia kpv trzakhia bfzadvm iwkr in hwe uhp eerwaim azk kphn rhci ixhdi uv rzeriffir pvv ha yff qigvqp ham sbvhwp hk hr kpi icyov rj kpv zadqhrnhafi npyanrc sj fiti ywe nphr ip nkv xvy ks ik hgg wru wkia i rhq kkyn h yx ha npi phaik sj drhao kr pih wpiavfiq h lidhw kr oqsw pydq\n",
      "Iter 0 of start 3: hekfgop mbirkcab nkqm ro obgryoq biro doypb kvi woqop rowz gbc mbcv fdshobsmy eyqkwa qkfgqs ip cb ubwoy kw rd hlpes kwp cbfgkca fkpfkhlmyp gb kwgopsef ro bw egido k fgilaeg k jilmz ekom kwblg k qkffqs kwz bos fes jygsdy fkdg bx ges cbdmp kg kb k cyy k gyqs bt ppkmocv ixt fes bfmosc ywz doalqkfowv geo hkdhlqkfkbw jgswsmsd o xowp rybomx adbckwa apou ywblf feo rilge jgowomod og oe y pkuh zpovvmy wimorwsp oc uy bilm jeocomsd o xkwz rybsqx owmbqlcfkpkqy fklbkca nsxbps hitxkc jydogilbse ywp wdkcvkca lf ggo doyd bt sqsdy xlwopkm k ussg ywz sbhonkkmmy cgocsmsp uy gdfbe asg blng yc lfhsp ekwz bt uo fgyg og dsslkdse k efpicv ubdkq hpkwhkfqo gb fdomswg uo xpbu zsqonodkfsmy egohhkcv ocgb ggo egdoof ycp rsfgbzkhyqqd ucbhuowa fobhqs e ekgb btx fesw k knhblcg of eoae fouo gi aog gi bok ke bbiw kb o nkw ggkb ob uy elnbgoflfo tip foefim kwz wymm ckfg k fgoqbbihekhkm xmbldkbg hyfi fedbcb gkuesqt lhbc eke ecbpz k slosgmd fyao gb ges egkh gespo oe wbfeowv elphdoekca kc fgke kx fgsy wlg awsc kf yqrieg yqm usc ow geskp zsapss bbus gouo ip igeop ngspoeg qspy cskpmd ges bkro tssqowvb fijydpe ggo bhskc jogg rs fespo wbj ob ybld ocblmkd hkfy bt geo rkwgyffisb woqfop dblwp ny jekpqoe ye kwzoyw kemob wy nbpyq dsoxe niuuodns blppblcpe of jkgg eop eldx poagf kcp qoxg ggs bgdssge fkuo dbl jkgspjkdp ogb oigpors zbcwgicc oe ggs nyggsdd jesdo geyf ciwqo ubqs oe jyeeop wd cymoe ycp hbiqsp nd ndssvsb jgkng y xoj eilde fdomoblb csps blf it boaeg ix mkcp qibu yf fes ndicze it jyfsd vyjsde fgsps nopnluyrwlqyfo fgo hofd bt y pdoyud ekwnyge ytgsdcibc ab tdiu hbpqsype ebbu gi niowfose eqof ywp xpbr fgscno nd cekfseymq cbdfgjkdz jgyg pi yil eoo fibgop qkuo boqswg eocfkwsmb kmq ydblwz fes fijw bgkcz ggilekcpe lfiw ggilbywzb ix ubdfkq uow tkxsp kc bhoyc doqsposb ebro qokwkca kvyoceg geo efkqsb bbuo boygop lhiw fgo hosd eokze biro qbiuowa iqsp ges nlmcypab bx egkfb tdir neowy bbrs gkag yqixg kw fes doaakwa kb kt bgpkmoca fi vog k efoqq nsggsd esyckpz hssh wlg fesbs ypo kqm qywpbrsw bx josa zydb fswf lf ow myfg kcz hqkbfsp fooz gi hilwfspe wkkqoz gi wscngoe nqkcngsp fb zsbab eic ggow ke gekb ydo ggo vposc xkompe vbwo cekg pb ggsy gsps wlf qbia esds hbro ubpo ndbcpb hkhkcv bgpkoveg tip fgs cyfsd kwz boorocvqd nilcz tid k zoqo bfdycao cigeowv comq nicgocg geou nlg ggs sigdsuobg mkrkf bx ggs qywp mikgspkwv lczop fes egkpy mso it dicpsp ckdsgblbob joqm cif elttohs ci fesd ulbg aof zleg yb wkae fgo cygsd yb ggoy hbbbonqy nyw ckfeilf tymmkwv kw kwz fgsdo ggsd egycz rkmoe it gesu qsyvlse kcqkwpsde ymq geod nbus tdiu mywse ycp kmqoye bfdssge ywz kmoclsb cipge syef eblge kcp csef dof gopo gesy kqq lcofo fsqm ro pioe feo ryawogkh modflo it geo wospmoe it ges nbrhkbboe ix kmm fgbes bgofb kgfdyhg ggou geofgop iwho ripo eky dbl ydo kw geo hblcfpy ow bbrs eoae mywz ix qkase gyus kqubbf ycy hkfg dil hqoyeo kcp gsw gb iwo og nyddoob yil pbjc oc y zkqo ycz qsymsb ybl ggsdo wd k fbbq kc ggo egdoyr feods oe rkaon ow of msg fgs rieg yneocg ukcpoz bx rsw no hqlcaoz oc goe zsohsbg psqodose bfkcp fekf rkc ic gke msab bsg ekb tssg k viocv ywz go ckmq owtkmmkwmd qskz yil gi ckgsp ot ckgod geodo wo ow ymm fekg dsvobc eeilmz yil omop wo yggkdbg kc ges vpskf yrspkhkc zoeodf gpd geke oihsporswf ot dbld hkpyqkw eyffow fb wo elffqosz jkgg k uogyhedekhkm fpbxsbbbp dsb yb sqopd bwo uwbjb uopofyfkbc ycp jygop kps jopzop xip smod wlf eods ke yc kdfobf gs zsbodob gi hykcf dbl ggo ppsyukseg egyposbf slkogsef rbbf owngycgkwv wkg bx dbukwgon qywpenkhs kw yqq feo mkqqsd bt fes bynb cgyg oe fgo hgosx oqsrswf gs suhqiye fgsps bgycp gob fpsse oyne ckgg y gimmic fdlca ye ot y eoprkf ycz y nplhkxox jodo ckggow ywz eodo eqoshe gkb rsyzbj ywp gespo eqosf gke nyfgqo ywp lh xpbr diwzsd hbgfyvs aisb k bqsofy buiao posh ocfi poefkwf cibzmkcpe joczb k uyvd jyy dsyngkcv gi iqodqkhhkwa bhldb it ublwfykwb wyfeoz kw geskd eomq ekpo wmls nlg geilag feo fkhglds mkob fgle gpkchsp ycp fgblae fgob fkco gpoo eeyuob pbcw kgb bkaee moas mskqoe lhiw geoe egohgspz b esyz ysg ymm jsdo qykw lwmobe fes besfgspp b syo jops xkxsp lfbc fes uyvoh egpskr noxido gkr ai mkbog fgo hdykdksb kw zlws jgsw tbp ehbdsb bw bhipsb ix rkqse dbl cyzs ucoo poof krbcv goaod mkmose jekg ke geo bws hekpu cycgoca ckfsd fesds kb wig k zdih it ckfsp feopo jsds cokvkdk nlf k nygkpyng bt eycp jblmp dil gdyqoq dilp feileycz ukmse fi bso og ced zop ggs fiid fbsf bt fscwsbeos lfbc elzpswmd dshokqowv gjb gywpxlqb it bommop zomknsdkfs jgsgesd gi nld ekr k hikg cgkng go byzqd wsspoz id kwqoef eob riwoy kw k hozobfdokw fdof fi dbnayjyd wsyng jgd oe kmuief omsdd pbwlbg eokqfey wbd jkfg k diwlef eskmfey bilm kw gku kg bbuo fouo id ifgod hpyjd fi ab fb bsy ced lhic ybld xodeg qbyyao ke k hybescvsd pop ybl yildeoqt xssq elng k ryegonkm qkwpkfobc jgoc xodeg gimz geyf dbl kcp dblp egof cods wij ilf bt ekagg it mkcp jey zoz feo imp fodbkyce ebmz feo bsk ebqy cgy zkz fgs apooue aoms og k bshypkfs pokfy ywz icw npbggop bt zbmo elpoqy ymq ggob ob cig jkfgilf rsycowv ycz efomm zoohod geo rokwoca ix feyf egbdy it ckphkeele jgb wshyleo es nilmp wbf apyeh ggo fbprowgoca uoqz krkvs gs byj ow ges tblwgkow hqlwvsz ocgb of kcp jke ppbcwoz wlg gekf bkro oukvo js blpboqqob ess kw yqq domsde kwz ihskce kg kb geo oryas bx ges lwvdkbfkwqo feywfbr ix qoto ycp fekb oe fgs usy gi og kmm cbj cgow o bkd ggyf k yu kw feo ekwog ix vbkwa gb eok ceowsqod k novkc gb adic eyvd\n",
      "Not updating anymore after iteration 49\n",
      "Iter 0 of start 1: zutxfsh nhhmokeb zrnn gp obumtsi idgp wsrhb reh fsmsh mofq uha idke xhsjoipin utgoft nofbip dv kd mhksn ok gw xpvis tkq kdfuoft rthbozpirh fd okfphpif gp df iudvp o fudpeuf o vhpnq iron tddab t iofbns rfc bpp fus arbsvn xrhf dl bup vdvnq of oi r arn o utgp dl chomofe hll bup irnpsf tkq vstpitbofe bup johzantbohf vupfpmsv o xokc mnisil thdaofe tvom rydaf bus gdafu vupfpmph of ob t ctgx chozcnw khmsgdsv ok gn bdai vupkpmsv o lofq gnbpnx ofgdipffthoiw xrpioft ypxdvs zdxlok vthpudpipi tfc yvoftofe pr bus vsrh dx pmphn lafphti o gssf tkq pbxsjotnnn ausfpmsv mn unxdi tpb bpzu rf axrph urkq dx gp burf of vpwaovpi r bfvhke mdvtn xhokjoxns bd xvsmpfb ms xvdm cpnoyshrbpnw bfpxrofe okfh fup ifvppb tfc mpfudcoztnin sfhzkokt xsdxip i utbb hxx fusf o rjjdpff ob uotu fomp fh tpf fd bsr ti bhhf ri o jtk fuoi ob gw ipyifobpfp xhv robfhi rfc ytni aofu r xuoidbdxuozrn xihavoiu ztfd buvdvi uomisnl prdf uoi iahhq o waopbnw btks bd fup buox busvs ob fhfuoke iavxhoiokt of buoi ox bupw ypb sksa ob tigdbb rnn msk ok bupoh qstvps bhmp boms dv dfush zuphoiu mpvw ksthnn bus btms lpsioftb fdvtvqb bup dzstf vobu ms fushp fdv oi whph okbpnrh jobn dl fus gtfurbbdsb ypnbsq hdafc dn vurvgpi tb okcotf obnpb yw zdhtn vsplb zhmgphjp iavhdpkci ob vobu usv iavl votuf tkc isxb bup bbvppbi frkp wda vtbsvvrvq ofb plbvpmp chafbdvk oi fup drfbsvn auphs butb fddip mhip ob vtbusc dw argpb tfq jdhnpc dw yhsszsb auoju t lsa uhpvb rhpmodpb vpvs dab hl boeuf dl irkc ihhs rb fup zvdvcb hl vtfph trzshi buphp jovjpmtmypntfp bup jobn dx t cvprgn itddtfu txbphkddk eh lhhg jhhnsrhi uhhs bh jhpkbopb inor rkc xvdm fupfzs dn vuobpurin fhvbuvrvc vutb cd nhp bpp rdbfpc noss boiskb ipkfofsni rii rvdpfc bup bdak bftfq budpirfqb pxhf buhabrfqi hx mdvbrn msk lolsc of hjptf hpgsvopi bhgs nprfofe rerofbb bup bxonpi bdgp bprfsc pxdf bup ropv uprci bdgp ihhkoft dgph bup yanarvki hx buori lvhg juokt bdms uoeu rndxb ok fup hottoke ti ox bbvomoke bd esb r ifoii ypbfsv bptvthc xpsx yaf bupip rvp tnn ntfcbgpk dl asss crwi rpkf pr of itbu rfq xitifpv bosc bd jdakfpvi ftonsc bh dpfjusb ziokjusq fh qsisi uhv fupf oi fuob rhp bup evspk xosiqb tdfs autb cd bupw uphp dab ndds uphp jhmp mdvp jhhvqi xrjokt bbhroeuf xdv bus atfpv rfq bspgokeiw ydafq lhv r qoms ibvrktp kdbuoft aonn jhfbpff fusg yab fup plbhsmsbb iomob hl fup itfc ndofshoft pkcpv fup iurcw ips dx whkqsh vrvsuhaipb aoin fhf iaxxojs fd fusn mabf esf qpbb ri fotu bup arbsh ti busn rhbiodnw jrf aofuhaf lriiofe of rfc fushs fusw ifrfq goisb dl bupg isrepsi ofitkqphb rnn busw jdmp lhhm ntksi rfc tinpwi bbvppbb rfq tgskasi kdhbu ptbf ihpbu rfq asib npf usvs fupn rni pkofs fpin ms qdsi bus gtefpfoz mohfps hx bus fsscipb hx fup zhmxtiipi hx tni fudbs buoxi rbbvtzb bupm buobush dkjs ghhp btw whp tvs of bup jdpffhw of bdms uoeu ntfq hx itssi frss rnmdib tkw xrbu wda rnsrbs tfq bpf bh hfs of ztvvopb wda cdvk ok r ctip rkc iprgsi wha buphp dw r rhdi ok fus ifhsrg fuphp ob mrtoj ok of nsb fus gdbf ryisfb mofcpq hl gpf dp xiaktpq of uoi cssrsbf vpmsvosi ibrfc burb grf hk uoi isti ipf uoi xpsb t thokt tfq up aonn oklrinodnn nprc whp bd vrbph ox vrfph bupvs yp of tni butb vstohk iudpiq nda sgpv ds tbuohbf ok bus ehsrf tmshojrk qsipvb bhw fuob syxpvomskb ox whav zthtgrf urxxsk fd ds iarriosq aofu r mpftxuwiojti xvhxpbbhv wsi tb sgphw dkp skdab gscobtbohf tfq arbsv tvs apqcpq ldh smsh yab uphs oi tk rhboif up cpiohsb bd xrokb wha fup qvsrgopif iutqopbb jaopfsbf ghib skzutkfofe dof dx hdmrkboj itkcijtxs ok tin bus mrnnpw hx bus itzd vutb oi bus juosl snsmskb up pmrihnb fusvs iftkc uoi fvppi prju vofu r udiida fhaks tb ol t uphgob tfc t jvajolol vshs vobuok tkc uphs bnssxi uob gsrqha tfq fushs bispr uob ztffis tkq pr xvhg whfcpv zdfbrtp ehpi t inppxw ighks qspr offd cobfrkb vhhcnrfqb aofcb t mrcw arw hsrzuoke bh dmshntxroft irpvi dl ghafbroki yrbusc of busoh uonn boqs dipp ypf fuhatu fus rojbphs iopb fuai fvrkjsq tfq budptu buob rofp fhss iutssi qhvf obb boeub noks isrmsi axhf buoi buprusvq b uptc npb tii asvs gtof pfisbi bus iuprupvq i pns vshp xolpc pxdf fus gteoz ifvptm ypxdhs uom eh goiof bus rvtohosi ok qafp ausk lhv ijdvsi hf bzdvsi dx gonpi wda vtcp sksp qpsx rmhkt botph nonopb vurf ob bus hks jurhm arkfokt arfph fupvs oi kdb t qhhx hl vtfsv bushs vshp fotervr daf r ztbthrjf hx itfq vhpic wdp bvtgpn ndav fudabrkq monpi fd bss ob auw qoc fus rhhv xhsf dx bsffpbiss arhk ipcqsfiw hsjsogokt fvd urfclpib hx bongsv csiodpvrbs vusfuph fh daw uog r jdtb auozu us itcnn fsscsq dv okgpbf uob ghksn of r xscsbfvork fvor fd vdzktarn dptju auw ob tnmdbb sgphn hhdabf usrifun ddw vobu t vddpib uprnfun bhpi of uog rb bhgp fogp dv dbush jhrcn fh ed bd ipr auw prhf nhph xovbf gdnrts rb t rtbbsfepv qoq wha whphipnl lspn iazu r mnifojrn modvrfohk ausf xovbf bdiq butb nhp tfq ndpv buor aphs kda dab dl botuf dx ntfq vun coq bus diq rsviotfi udnq fus isr uhiw vun qoc fus tvsski eomp ob t isrrhrbs csobn tkq dvf dhdbuph hl qdms ipvsin rii buob oi fdf vobudpb gprkokt rkq bfoii cssxph fup gptkoft dl futf bbdvn hl krhzobiai vud dsjtais up zdanc khf evrir fus fhhmsfbokt gonc omtep us itv ok bup lhakbtok xnakepc ofbh ob rkq vrb qhhvfsc ypb butf brms omres as havbsigsi bsp ok tii vomshi rfc hzprfi of ob bus ogttp hl fus aktvtixrynp xurfbdm hl noxs rkc fuob ob bus ksn fd ob rin kda ausf o brn furf o tm of bus utyob dx ehokt bd ipt vupkpgph o ystok bd evha urcn\n",
      "Iter 0 of start 2: hqgilso jooebunk hwjj dt bkqegsp padt fswok wno lseso eblz qom paun iosxbptpj qgdblg jblkpt av ua eousj bu df itvps guz ualqblg wgokbhtpwo la bultotpl dt al pqavt b lqatnql b votjz pwbj gaamk g pblkjs wlr ktt lqs mwksvj iwol ac kqt vavjz bl bp w mwj b qgdt ac robebln occ kqt pwjtsl guz vsgtpgkbln kqt xbohmjgkbol vqtltesv b ibur ejpspc goambln gvbe wyaml kqs damlq vqtlteto bl bk g rgdi robhrjf uoesdasv bu dj kamp vqtutesv b cblz djktji bldaptllgobpf iwtpblg ytiavs haicbu vgotqatptp glr yvblgbln tw kqs vswo ai tetoj cmltogp b dssl guz tkisxbgjjj mqsltesv ej qjiap gtk kthq wl miwto qwuz ai dt kqwl bl vtfmbvtp w klvoun eavgj iobuxbijs ka ivsetlk es ivae rtjbysowktjf kltiwbln bulo lqt plvttk glr etlqarbhgjpj slohubug isaipt p qgkk oii lqsl b wxxatll bk qbgq lbet lo gtl la ksw gp kool wp b xgu lqbp bk df ptyplbktlt iov wbklop wlr ygjp mblq w iqbpakaiqbhwj ipomvbpq hgla kqvavp qbepsjc twal qbp pmooz b fmbtkjf kgus ka lqt kqbi kqsvs bk lolqbun pmviobpbug bl kqbp bi kqtf ytk susm bk gpdakk wjj esu bu kqtbo zsgvts koet kbes av alqso hqtobpq etvf usgojj kqs kges ctspblgk lavgvzk kqt ahsgl vbkq es lqsot lav bp foto buktjwo xbkj ac lqs dglqwkkask ytjksz oamlr aj vqwvdtp gk burbgl bkjtk yf haogj vstck hoedtoxt pmvoaturp bk vbkq qsv pmvc vbgql gur psik kqt kkvttkp lwut fam vgksvvwvz blk tckvtet romlkavu bp lqt awlksvj mqtos kqgk laapt eopt bk vgkqsr af mwdtk glz xaojtr af yosshsk mqbxq g csm qotvk wotebatk vtvs amk oc kbnql ac pwur poos wk lqt hvavrk oc vglto gwhsop kqtot xbvxtegeytjglt kqt xbkj ai g rvtwdj pgaaglq giktouaau no cood xoojswop qoos ko xotukbtk pjbw wur ivae lqtlhs aj vqbktqwpj lovkqvwvr vqgk ra jot ktt wakltr jbss kbpsuk ptulblsjp wpp wvatlr kqt kamu klglz kqatpwlzk tiol kqomkwlzp oi eavkwj esu cbcsr bl oxtgl otdsvbtp kods jtwlbln wnwblkk kqt kibjtp kadt ktwlsr tial kqt wbtv qtwrp kadt pooublg adto kqt ymjmwvup oi kqbwp cvod xqbug kaes qbnq wjaik bu lqt obggbun gp bi kkvbebun ka nsk w plbpp ytklsv ktgvgor itsi yml kqtpt wvt gjj jglrkdtu ac msss rwfp wtul tw bl pgkq wlz ipgpltv kbsr ka xamultvp lgbjsr ko atlxqsk hpbuxqsz lo zspsp qov lqtl bp lqbk wot kqt nvstu ibspzk gals mqgk ra kqtf qtot amk jaas qtot xoet eavt xoovzp iwxbug kkowbnql iav kqs mgltv wlz kstdbunpf yamlz cov w zbes pkvwugt uakqblg mbjj xolktll lqsd ymk lqt tckoseskk pbebk oc lqt pglr jablsoblg turtv lqt pqwrf pts ai fouzso vwvsqomptk mbpj lol pmiibxs la lqsj emkl nsl ztkk wp lbgq kqt mwkso gp kqsj wokpbajf xwl mblqoml cwppbln bl wlr lqsos lqsf plwlz dbpsk ac kqtd pswntsp blpguztok wjj kqsf xaet cooe jgusp wlr gpjtfp kkvttkk wlz gdsumsp uaokq tgkl potkq wlz mspk jtl qsvs lqtj wjp tubls ltpj es zasp kqs dgnltlbh ebolts oi kqs lssrptk oi lqt hoeigpptp oi gjp lqaks kqbip wkkvghk kqte kqbkqso auxs doot kgf fot gvs bl kqt xatllof bl kaes qbnq jglz oi pgssp lwss wjeapk guf iwkq fam wjswks glz ktl ko ols bl hgvvbtk fam ravu bu w rgpt wur ptwdsp fom kqtot af w woap bu lqs ploswd lqtot bk ewgbx bu bl jsk lqs dakl wypslk eblrtz oc dtl at ipmugtz bl qbp rsswskl vtesvbsp pkwlr kqwk dwl ou qbp psgp ptl qbp itsk g gobug glz qt mbjj bucwpjbajj jtwr fot ka vwkto bi vwlto kqtvs yt bl gjp kqgk vsgbou pqatpz jam sdtv as gkqbokl bu kqs noswl gesobxwu zsptvk kof lqbk syitvbesuk bi fomv hgogdwl qwiisu la as pmwwpbsz mblq w etlgiqfpbxgp ivoitkkov fsp gk sdtof aut suamk dsrbkgkbol glz mwksv gvs mtzrtz cao seso ymk qtos bp gu wokbpl qt rtpbosk ka iwbuk fom lqt zvswdbtpl pqgzbtkk xmbtlskl dopk suhqgulbln abl ai oaewukbx pgurpxgis bu gpj kqs ewjjtf oi kqs pgha vqgk bp kqs xqbsc sjsesuk qt tewpojk lqsvs plgur qbp lvttp twxq vblq w qappam lomus gk bc g qtodbk glr g xvmxbcbc vsos vbkqbu gur qtos kjssip qbk dswzom glz lqsos kpstw qbk hgllps guz tw ivod folrtv halkwgt notp g pjttif pdous zstw blla rbklwuk voorjwlzk mblrk g ewrf mwf oswhqbun ko aesojgiwblg pwtvp ac domlkwbup ywkqsr bl kqsbo qbjj kbzs aptt ytl lqomgq lqs wbxktos pbtk lqmp lvwuxsz glz kqatgq kqbk wblt loss pqgssp zovl bkk kbnqk jbus pswesp miol kqbp kqtwqsvz k qtgr jtk gpp msvs dgbl tlpskp kqs pqtwqtvz p tjs vsot ibctr tial lqs dgnbh plvtge ytiaos qbe no dbpbl kqs wvgbobsp bu zmlt mqsu cov pxavsp ol khavsp ai dbjtp fam vgrt sust ztsi weoug kbgto jbjbtk vqwl bk kqs ous xqwoe mwulbug mwlto lqtvs bp uak g zooi oc vglsv kqsos vsot lbgnwvw aml w hgkgowxl oi pglz votpr fat kvgdtj jamv lqamkwuz ebjtp la kss bk mqf zbr lqs woov iosl ai kslltkpss mwou ptrzslpf osxsbdbug lva qwlrctpk oi kbjdsv rspbatvwks vqslqto lo amf qbd w xagk mqbhq qs pgrjj lssrsz av budtkl qbk dousj bl w isrsklvbwu lvbw la vahugmwj atgxq mqf bk gjeakk sdtoj ooamkl qswplqj aaf vbkq g vaatpk qtwjlqj kotp bl qbd wk kodt lbdt av akqso xowrj lo na ka ptw mqf twol joto ibvkl dajwgs wk g wgkkslntv zbz fom fotoptjc cstj pmhq w ejplbxwj ebavwlbou mqsl ibvkl kapz kqgk jot glz jatv kqbw mtos uam amk ac kbgql ai jglz vqj rbz kqs apz wsvpbglp qajz lqs psw qopf vqj zbr lqs gvssup nbet bk g pswwowks rsbkj guz avl aoakqto oc zaes ptvspj wpp kqbk bp lal vbkqatk dtwubug wuz klbpp rssito lqt dtgublg ac lqgl kkavj oc uwohbkpmp vqa asxgmps qt hamjr uol nvwpw lqs looeslkbug dbjr begnt qs pgv bu kqt comukgbu ijmuntr blko bk wuz vwk zoovlsr ytk kqgl kwes bewns ms omvkspdsp kst bu gpp vbesop wlr ohtwlp bl bk kqs bdggt oc lqs mugvgpiwyjt iqwlkae oc jbis wur lqbk bk kqs usj la bk wpj uam mqsl b kwj lqwl b ge bl kqs qgybk ai nobug ka ptg vqtutdto b ysgbu ka nvom qwrj\n",
      "Iter 0 of start 3: qodwflk pkkuhmvx qjpp yt hxoudls sgyt aljkx jvk flulk uhfi oke sgmv wklnhstsp odyhfd phfxst gr mg ukmlp hm ya wtrsl dmi mgfohfd jdkxhqtsjk fg hmftktsf yt gf sogrt h fogtvof h rktpi sjhp dggex d shfxpl jfz xtt fol ejxlrp wjkf gc xot rgrpi hf hs j ejp h odyt gc zkhuhfv kcc xot sjptlf dmi rldtsdxhfv xot nhkqepdxhkf rotftulr h whmz upslsc dkgehfv drhu jbgef xol ygefo rotftutk hf hx d zdyw zkhqzpa mkulyglr hm yp xges rotmtulr h chfi ypxtpw hfygstffdkhsa wjtshfd btwgrl qgwchm rdktogtsts dfz brhfdhfv tj xol rljk gw tutkp ceftkds h yllf dmi txwlnhdppp eolftulr up opwgs dtx xtqo jf ewjtk ojmi gw yt xojf hf rtaehrts j xfrkmv ugrdp wkhmnhwpl xg wrlutfx ul wrgu ztphblkjxtpa xftwjhfv hmfk fot sfrttx dfz utfogzhqdpsp lfkqmhmd wlgwst s odxx kww folf h jnngtff hx ohdo fhut fk dtf fg xlj ds xkkf js h ndm fohs hx ya stbsfhxtft wkr jhxfks jfz bdps ehfo j wohsgxgwohqjp wskerhso qdfg xorgrs ohuslpc tjgf ohs sekki h aehtxpa xdml xg fot xohw xolrl hx fkfohmv serwkhshmd hf xohs hw xota btx lmle hx dsygxx jpp ulm hm xothk ildrtl xkut xhul gr gfolk qotkhso utra mldkpp xol xdul ctlshfdx fgrdrix xot gqldf rhxo ul folkt fgr hs aktk hmxtpjk nhxp gc fol ydfojxxglx btpxli kgefz gp rojryts dx hmzhdf hxptx ba qgkdp rltcx qkuytknt serkgtmzs hx rhxo olr serc rhdof dmz slwx xot xxrttxs fjmt age rdxlrrjri hfx tcxrtut zkefxgrm hs fot gjfxlrp eotkl xodx fggst ukst hx rdxolz ga ejytx dfi ngkptz ga bkllqlx eohno d cle oktrx jktuhgtx rtrl gex kc xhvof gc sjmz skkl jx fot qrgrzx kc rdftk djqlks xotkt nhrntudubtpdft xot nhxp gw d zrtjyp sdggdfo dwxtkmggm vk ckky nkkpljks okkl xk nktmxhtx sphj jmz wrgu fotfql gp rohxtojsp fkrxorjrz rodx zg pkt xtt jgxftz phll xhslmx stmfhflps jss jrgtfz xot xgem xfdfi xogtsjfix twkf xokexjfis kw ugrxjp ulm chclz hf kntdf ktylrhts xkyl ptjfhfv jvjhfxx xot xwhpts xgyt xtjflz twgf xot jhtr otjzs xgyt skkmhfd gytk xot bepejrms kw xohjs crky nohmd xgul ohvo jpgwx hm fot khddhmv ds hw xxrhuhmv xg vlx j sfhss btxflr xtdrdkz wtlw bef xotst jrt dpp pdfzxytm gc elll zjas jtmf tj hf sdxo jfi wsdsftr xhlz xg ngemftrs fdhplz xk gtfnolx qshmnoli fk ilsls okr fotf hs fohx jkt xot vrltm whlsix dgfl eodx zg xota otkt gex pggl otkt nkut ugrt nkkris wjnhmd xxkjhvof wgr xol edftr jfi xltyhmvsa bgefi ckr j ihul sxrjmdt mgxohfd ehpp nkfxtff foly bex fot tcxklulxx shuhx kc fot sdfz pghflkhfd tmztr fot sojza stl gw akmilk rjrlokestx ehsp fkf sewwhnl fg folp uexf vlf itxx js fhdo xot ejxlk ds xolp jkxshgpa njf ehfokef cjsshfv hf jfz folkl fola sfjfi yhslx gc xoty sljvtls hfsdmitkx jpp xola ngut ckku pdmls jfz dsptas xxrttxx jfi dylmels mgkxo tdxf sktxo jfi elsx ptf olrl fotp jps tmhfl ftsp ul igls xol ydvftfhq uhkftl kw xol fllzstx kw fot qkuwdssts kw dps fogxl xohws jxxrdqx xotu xohxolk gmnl ykkt xda akt drl hf xot ngtffka hf xgul ohvo pdfi kw sdlls fjll jpugsx dma wjxo age jpljxl dfi xtf xk kfl hf qdrrhtx age zgrm hm j zdst jmz stjyls ake xotkt ga j jkgs hm fol sfkljy fotkt hx ujdhn hm hf plx fol ygxf jbslfx uhfzti kc ytf gt wsemdti hf ohs zlljlxf rtulrhls sxjfz xojx yjf km ohs slds stf ohs wtlx d dkhmd dfi ot ehpp hmcjsphgpp ptjz akt xg rjxtk hw rjftk xotrl bt hf dps xodx rldhkm sogtsi pge lytr gl dxohkxf hm xol vkljf dulkhnjm ilstrx xka fohx lbwtrhulmx hw aker qdkdyjf ojwwlm fg gl sejjshli ehfo j utfdwoashnds wrkwtxxkr als dx lytka gmt lmgex ylzhxdxhkf dfi ejxlr drl etizti cgk lulk bex otkl hs dm jkxhsf ot ztshklx xg wjhmx ake fot irljyhtsf sodihtxx nehtflxf yksx lmqodmfhfv ghf gw kgujmxhn sdmzsndwl hm dsp xol ujppta kw xol sdqg rodx hs xol nohlc lplulmx ot tujskpx folrl sfdmz ohs frtts tjno rhfo j ogssge fkeml dx hc d otkyhx dfz d nrenhchc rlkl rhxohm dmz otkl xpllws ohx yljike dfi folkl xsltj ohx qdffsl dmi tj wrky akfztr qgfxjdt vkts d spttwa sykml iltj hffg zhxfjmx rkkzpjfix ehfzx d ujza eja kljqohmv xk gulkpdwjhfd sjtrs gc ykefxjhms bjxolz hf xolhk ohpp xhil gstt btf fokedo fol jhnxtkl shtx foes frjmnli dfi xogtdo xohx jhft fkll sodlls ikrf hxx xhvox phml sljuls ewkf xohs xotjolri x otdz ptx dss elrl ydhf tfslxs xol sotjotri s tpl rlkt whctz twgf fol ydvhq sfrtdu btwgkl ohu vk yhshf xol jrdhkhls hm ieft eolm ckr sngrls kf xqgrls gw yhpts age rdzt lmlt itlw jukmd xhdtk phphtx rojf hx xol kml nojku ejmfhmd ejftk fotrl hs mgx d ikkw kc rdflr xolkl rlkt fhdvjrj gef j qdxdkjnf kw sdfi rktsz agt xrdytp pger fogexjmi uhpts fg xll hx eoa ihz fol jkkr wklf gw xlfftxsll ejkm stzilfsa klnlhyhmd frg ojfzctsx kw xhpylr zlshgtrjxl rolfotk fk gea ohy j ngdx eohqo ol sdzpp fllzli gr hmytxf ohx ykmlp hf j wlzlxfrhjm frhj fg rgqmdejp gtdno eoa hx dpugxx lytkp kkgexf oljsfop gga rhxo d rggtsx otjpfop xkts hf ohy jx xkyt fhyt gr gxolk nkjzp fk vg xg stj eoa tjkf pktk whrxf ygpjdl jx d jdxxlfvtr ihi ake aktkstpc cltp seqo j upsfhnjp uhgrjfhkm eolf whrxf xgsi xodx pkt dfi pgtr xohj etkl mge gex gc xhdof gw pdfi rop zhi xol gsi jlrshdfs ogpi fol slj oksa rop ihz fol drllms vhut hx d sljjkjxl zlhxp dmi grf gkgxotk kc igul strlsp jss xohx hs fgf rhxogtx ytjmhmd jmi xfhss zllwtk fot ytdmhfd gc fodf xxgrp kc mjkqhxses rog glndesl ot qgepz mkf vrjsj fol fkkulfxhmd yhpz hudvt ol sdr hm xot ckemxdhm wpemvtz hfxk hx jmi rjx ikkrflz btx xodf xjul hujvl el kerxlsyls xlt hm dss rhulks jfz kqtjfs hf hx xol hyddt kc fol emdrdswjbpt wojfxgu kc phwl jmz fohx hx xol mlp fg hx jsp mge eolf h xjp fojf h du hf xol odbhx gw vkhmd xg std rotmtytk h bldhm xg vrke ojzp\n",
      "Not updating anymore after iteration 45\n",
      "Iter 0 of start 1: atzqdfm nmxbrfgk zzuu bo rytbzou kmbf pozmk asm foioj brew txs uxes qmfalkonp tarreg urdduf xj fx bmfod re bd vcjko zew fxdtles qamdlacuam ex ledfmfkd bo xe ytmmf l etmustd r sxuui yaru aymud a nrddno aei koo dtf saeojd qzme xh dto xmmni ld lk z szp l tzif mh ijrrrfs mkk etf kqnoff zew jfsuuaerfg dtf zrjzcuzerme xtoefiom r hrfw bdkouh gjxsleg sjlb zpxue etf bmcdt stfeoiom re ry z wabv wmrwhup exrobyom rf bd kxuu stfeoiom r hrfi bpyouk lfrmnufdamrud vzukreg pokmmo zxhhrf sajotxuyfk afi yjlfglfg cq eto jfzm mh fromd kuffjzn r bofd aew fkvozrauud xtoefifm bd tpqxy god yczt ze cvqfm tzfw mh bo etze le jfjulmoy a yemxfs bmmzu qjrfzlqno em qmorfee bf hmmb wonryomaefup kdovqles ledm eto yemofd zfi bodtmirzzunp nexaqlfs voxvno k taey mkk etoe l azzmcfd re trgt erbf dm soe dx yfz ak yxxe ay l zzf etly ly bd ycyyeldcdf hmm vlkdxn zfi pznu xlet a qtrumkxvtlzzu hnxcjlyt aadx etjxsk trbyfuh cqxf try ksmmi r gurodnp eaqf ex etf ktlq dtomf ry fxdtlfg kcjqmrklfs re dtly lh etop pud qefx le anbmke anu bff lf dtolm wogjoo yxbo dlbf mm metoj atojryt iomd ffajud dtf yabf kfoulesy dmxajik dtf xzozf xrdt bf dtfmo emx ry dxcj rekcuam zrdp xh etf bzetzedmfy yonefw mxufi yp stzjrfy ay rfwrzf rynok yd zmjau jffhy ambbfmzo ycmmxufwk re slet tfj yujh jrgtd aew uohd dto kdmofek eaqf dxc xaeojsajw ldy oldjfbf wmxeexxe ry eto yzedfmp xtfjo dtae fxpuf bxuf lk xaytoi pd saifk afi zxmnfw pp ymfowok stlat z kfx txcmk vmfrrxcy xfmo mce xk krste mk naew uxmn ae dtf ajmsiy xk saefj szwfjy etfjo armzubzbpuuadf dto zrdp mk a wjoabd kaypzet zhdomfmxf sx hmmb zxjufajk txxq em axoeerfy kulq aei kjxb etoeao pd xtrdftzuu fxjetxamw stae ix dmc yof qmydfw ulqo yrnffe koedrfony ann zmmcei eto dmse yezew dtmuyafik uvxf dtxuyzewy xk bmmezn bof kloow re maozf moiojlok ymbf ufafrfs zszlfyd dtf kvrnoy kmbo kozefw cvxf etf qrfm tozwk yxbo nxmnres miom dto yunszjnk mh ktrvk kjxb atlfa kxbo tlst zuxhe lf eto jlsgles zk rk yemlilfg dx gfd z kdluu yfedfj kfasajw vffv yue dtoyo zjf znu uzeikboe xh xofq izpy qfed uq le nzdt zei vnayefm eroi ex amcfefjk ezlnow em yoeztok anleatfi em woyqy tmx dtfe rk dtlk ajf dto sjofe hlonwk sxfo xtad im etod tfjo pcd uxxn tomo zmbf bxjo zmmsiy qaaleg kdjarstd kmj dto xzdom aei yffblegud ymuew kxm z wlrf yejzegf emetres xrnu axeeoed dtob yud eto fodmfboye urbrd xh etf uzfw umrdfmlfs cfifm dtf ktzwp uof mk pmfwom samftxuyfy xrnu fme yukkrzo em dtfp buke goe cukd ay elgt dtf sadfj zy etfd qmyklynd azf xldtxue hznnrfs le zei dtfjo dtfp ydafw bluok xk dtob ufascok lfuzeiomk auu dtfd zmbf kmxb uaefk afw aunfdy kdjofdk zei ziffcok emmdt fayd kxcdt zew sfke pfd tomo etod zuu uelef douu bf wmfy dtf bageoera rljeuf mh eto fooinfk xk dtf axbvzyyoy xk znu etmkf ktlqy aedjazd dtfb etletoj xeao bmmf yap pxc zmo re dtf amufejp rf ymbf tlgt uzfw xk uzqoy eano aubxye zep qzet dmu vuozyo zew efe em meo le aajjlfy dmu wmsf rf a wauf aew ufarfy pmu dtfjo yd z vmmn rf dtf kemfab etomf rk baslz rf le nfd etf bmye apkfee brewfi xk bfe yf qncegoi le tly wfoqoyd morojrfy ydzfw etze baf me trk uogk yod trk kooe z gmreg zew to xlun lfkannrpud uozw dxu ex xadoj lh sadfm etfjf pf re anu dtzd josrme ytmuuw pxu orfm pf zetlmyd re dto sjfze abojlzzf wfkoje ejp etry olqfmlbffe rh pxum zzjarzf taqqoe ex pf kcvvulfi xrdt a bfdavtpkrzau vjxkfykmm poy zk oifjp mef nfmsy bfilezerxe zew szeoj zjo xfiioi hxm oifj ycd tojf lk ze zmerke tf wokrmfy dx vzlee pxc eto imfzbroyd ytzwroye jclfefye bxyd ffatafdles yle xk mxbzedlz nzfiyzzvf re zun etf rznnop xh dto kaax stae ly dtf ztrfk fuobffd to fbquxpk etomo yeafw trk djffy fzat xrdt a txunxs ejcfq ak lk a tojbre zei a amuzrhro xomo sretle afw tomo yuoovy tly bozwxs aew dtomo kuffv try aadduo afw cq kmmb pmeifj zxedago sxoy z yufoqp kbmno wffq lfdm ilydzfd xxmiuzfiy xlewy z bzwp szd mozztres dx mrojuavqleg kvcjy xh bxufdzley paetow le etorm truu krio puuf pud etxcst etf qlzdumo urfy dtck dmafzfw zfi dtmust dtly vlef dmoo ktanfk wxxf ldy krsty ulqf ufzroy uvxe etry ktfqtomi y tfai dfe zuu xfjf iare ufnoyy eto ktfvtomi y odf sfmf krlfw cqxf etf bzgrz kemozb pfkxjf trb sx rlkle dtf vjaljrfk rf vceo xtfe hxj kzmmoy mf kzmjok mk brnoy dxc szwf neoo iofq abmfs dlgfj nlurok xtae ly dto xeo ztzjb xaeeles xzdfm dtomf ly fxe z ijxq xh sadfj etojo sojo frasajz pud z aaeajaae mh kzfi smcnw pmu djziou dxcj dtmuyzew brufy ex kff le xtp irw dto qxmm vxoe mh efefoykoo cqxe yuwwofud mfaorrleg esx tafikunk mh yluifm ifnlyomzdf stoetoj em ycp trb z zxze stlzt to yziud fofwfi mj lfifyd trk bmffd lf z qfifkemraf emlv ex jxzqaxad pfzat xtd lk aubmkd fifmd jmyuyd tozuetp pxp xlet z mmyuyd tfzndtp kmuu re tlb zd kmbo erbo xm xdtfm ajzhd dx sm dm yoz std uvmf dmuj klmyd ixpasf ay z vzykofgom irw dxc pmcjyouk hffn yczt a bpydrzau rrymzelxe xtof krjye dmui dtze pxc afw dxcm ktrv sfjf fmx xcd mh yrste xh nzfw xtd wri etf xui qfmyraek txuw eto koz txud stp wlw dto sjoony grio le a kfvajaef wfrdp zfw msf yjmetom xh vxio kumoud anu etlk ry fxd srdtmcd bozfles zfw kdruu iffqom etf bozeles mh dtad kdmjd mk eamarkyck xtx yozauyf to amuuw exe gmakq dtf emmbffelfg brni rbzgf tf yzx lf dtf hmueezre qucfsfi lfex re aei sak ijxxfoi yud dtze kabf rbzso so xujyourfy kfo re aun mlromk zfi maozfy le lk etf rbago mk eto cegmayvzynf vtzedmb xk urko zfi etrk ly eto nfd ex le zuu fxs stff l yad etzd r ab le etf tzyre mh smres dx yfz stoefroj l poslf ex sjxx tzwd\n",
      "Iter 0 of start 2: btomxsi jinkcsqh oodd kf cetkofd hiks afoih bzi sfgfu kcvw tnz dnvz misbrhfja tbccvq dcxxds nu sn kisfx cv kx yluhf ovw snxtrvz mbixrbldbi vn rvxsishx kf nv etiis r vtidztx c znddg ebcd beidx b jcxxjf bvg hff xts zbvfux moiv np xtf niijg rx rh o zoa r togs ip gucccsz ihh vts hmjfss ovw uszddbvcsq xts ocuoldovciv ntfvsgfi c pcsw kxhfdp qunzrvq zurk oandv vts kilxt ztsvfgfi cv ce o wbky wicwpda vncfkefi cs kx hndd ztsvfgfi c pcsg kaefdh rscijdsxbicdx yodhcvq afhiif onppcs zbuftndesh bsg eursqrsq lm vtf usoi ip scfix hdssuoj c kfsx bvw shyfocbddx ntfvsgsi kx tamne qfx elot ov lymsi tosw ip kf vtov rv usudrife b evinsz kiiod mucsormjf vi mifcsvv ks piik wfjcefibvsda hxfymrvz rvxi vtf evifsx osg kfxtigcoodja jvnbmrsz yfnyjf h tbve ihh vtfv r booilsx cv tcqt vcks xi zfv xn eso bh ennv be r oos vtre re kx eleevrxlxs pii yrhxnj osg aojd nrvt b mtcdihnytrood pjnluret bbxn vtunzh tckesdp lmns tce hziig c qdcfxja vbms vn vts htrm xtfis ce snxtrsq hlumichrsz cv xtre rp vtfa adx mvsn rv bjkihv bjd kss rs xtfri wfquff enkf xrks ii ivtfu btfucet gfix ssbudx xts ebks hsfdrvze xinbugh xts nofos ncxt ks xtsif vin ce xnlu cvhldbi ocxa np vts kovtovxise efjvsw indsg ea ztoucse be cswcos cejfh ex oiubd usspe bikksiof eliindswh cv zrvt tsu edup ucqtx bvw dfpx xtf hxifsvh vbms xnl nbvfuzbuw rxe frxusks winvvnnv ce vtf eovxsia ntsuf xtbv snads knds rh nbetfg ax zbgsh bsg onijsw aa eisfwfh ztrbt o hsn tnlih yisccnle nsif ilv nh hcztv ih jbvw dnij bv xts buizge nh zbvsu zowsue vtsuf bciodkokaddbxs xtf ocxa ih b wufbkx hbeaovt opxfisins zn piik onudsbuh tnnm vi bnfvvcse hdrm bvg hunk vtfvbf ax ntcxstodd snuvtnbiw ztbv gn xil efs miexsw drmf ecjssv hfvxcsfje bjj oiilvg vtf xizv evovw xtidebsgh dyns xtndeovwe nh kiivoj kfs hrffw cv ibfos ifgfurfh eiks dsbscsz ozorsex xts hycjfe hikf hfovsw lyns vts mcsi tfowh enkf jnijcvz igfi xtf edjzoujh ip htcyh hunk btrsb hnkf trzt odnpv rs vtf urzqrvz oh ch evirgrsq xn qsx o hxrdd esvxsu hsbzbuw yssy edv xtfef ous ojd dovghkfv np nfsm goae msvx dm rv joxt ovg yjbevsi vcfg vn bilsvsuh vorjfw vi efvotfh bjrvbtsg vi wfeme tin xtsv ch xtrh bus xtf zufsv prfjwh znsf ntbx gi vtfx tsuf alx dnnj tfif oiks knuf oiizge mbbrvq hxubcztx hiu xtf noxfi bvg esskrvqdx eidvw hni o wrcs evuovqs vivtcvz ncjd bnvvfvx xtfk edx vtf sfxiskfev dckcx np vts dosw dicxsirsz lsgsi xts htowa dfs ih aiswfi zbistndese ncjd siv edhhcof vi xtsa kdhv qfv ldhx be vrqt xts zbxsu oe vtsx miehrejx bos nrxtndv pojjcsz rv ovg xtsuf xtsa exbsw krdfh nh xtfk dsbzlfh rsdovgfih bdd xtsx oiks hink dbvsh bsw bdjsxe hxufsxh ovg ogsslfh viixt sbex hnlxt ovw zshv asx tfif vtfx odd dvrvs xfdd ks wise xts kbqvfvcb cruvds ip vtf sffgjsh nh xts bnkyoeefe nh ojd vtihs htrme bvxubox xtsk vtrvtfu nvbf kiis eba anl oif cv xts bidsvua cs eiks trqt dosw nh domfe vbjf bdknev ova movt xid ydfoef ovw vsv vi ivf rv bbuurse xid wizs cs b wbds bvw dsbcse aid xtsuf ex o yiij cs xts hvisbk vtfis ch kbzro cs rv jsx vts kiev bahsvv kcvwsg nh ksv es mjlvqfg rv tre wsfmfex ifcfucse exosw vtov kbs iv tch dfqh efx tch hffv o qicvq ovw tf nrdj rshbjjcadx dfow xnd vn nbxfu rp zbxsi vtsus as cv bjd xtox ufzciv etiddw and fcsi as ovtriex cv xtf zusov bkfuroos wshfuv vua vtce frmsirkssv cp andi ooubcos tbmmfv vn as hlyydrsg ncxt b ksxbytahcobd yunhsehii afe oh fgsua ivs jsize ksgrvovcnv ovw zovfu ouf nsggfg pni fgsu elx tfus rh ov oivchv ts wfhcise xn yorvv anl vtf gisokcfex etowcfev ulrsvsev knex ssbtbsxrvz erv nh inkovxro josgeooys cv odj vts cojjfa np xtf hbbn ztbv re xts otcsh sdfkssx tf skmdnah vtfif evbsw tch xusse sobt ncxt b tndjnz vulsm bh rh b tfukcv ovg b bidocpcf nfif zcvtrv bsw tfif edffye tre kfownz bvw xtfif hdssy tce bbxxdf bsw lm hiik aivgsu onvxbqf znfe o edsfma hkijf wssm rsxi grexosx nnigdosge nrvwe o kowa zox ifootcvz xn icfudbymrvq hylue np kndsxorve abvtfw rv vtfci tcdd hcgf adds adx vtnlzt vts mroxdif dcse xtlh xibsosw osg xtidzt xtre yrvs xiff htbjsh wnns rxe hczte drms dsocfe dynv vtce htsmtfig e tsbg xsv odd nsus gbcv dsjfee vtf htsytfig e fxs zsis hcrsw lmns vts koqco hvifok ashnus tck zn crhrv xts yubrucsh cs ylvf ntsv pnu hoiife is hoiufh ih kcjfe xnl zows jvff gfsm bkisz xrqsu jrdcfh ntbv re xtf nvf otouk nbvvrvz noxsi xtfis re snv o gunm np zbxsu vtfuf zfuf scbzbuo adx o bbvbubbv ip hosg ziljw aid xuogfd xnlu xtideovw kcdse vn hss rv nta gcw xtf mnii ynfv ip vsvsfehff lmnv edwwfsdx isbfccrvq vzn tbsghdjh ip erdgsi gsjrefioxs ztfvtfu vi ela tck o onov ztrot tf eogdx sfswsg iu rsgsex tch kissx rs o msgshvicbs viry vn unombnbx asobt ntx rh bdkihx sgsix uiedex tfodvta ana nrvt o iiedex tsojxta hidd cv trk ox hikf vckf ni nxtsi buopx xn zi xi efo ztx dyis xidu hriex gnabzs be o yoehfsqfi gcw xnl ailuefdh pssj elot b kaexcobd cceiovrnv ntfs hcuev xidg xtov anl bsw xnli htcy zsus sin nlx ip ecztv np josw ntx wcg vts ndg msiecbvh tndw vtf hfo tndx zta wrw xtf zuffje qcgf rv b hsybubvs wscxa osw izs euivtfi np yngf hdifdx bjd vtrh ce snx zcxtilx kfosrvz osw hxcdd gssmfi vts kfovrvz ip xtbx hxiux ih vbibchelh ntn efobdes tf biddw vnv qibhm xts viikssvrsq kcjg ckoqs ts eon rs xts pidvvocv mdlszsg rsvn cv bvg zbh gunnsfg edx xtov hbks ckozf zf nduefdcse hsf cv bdj ircfih osg ibfose rv rh vts ckbqf ih vtf lvqibeyoejs ytovxik nh dchf osg vtch re vtf jsx vn rv odd snz ztss r ebx vtox c bk rv vts toecv ip zicvz xn eso ztfvscfu r afzrs vn zunn towx\n",
      "Iter 0 of start 3: jyfxdtq eqlvptac ffii vm pkyvfmi cqvt nmfqc jgq tmhmz vpob ylg ilog xqtjucmen yjppoa ipddit lz tl vqtmd po vd wrzcm fob tldyuog xjqdujrijq ol uodtqtcd vm lo kyqqt u oyqigyd p gliih kjpi jkqid j epddem joh cmm dyt gjomzd xfqo ls dym lqqeh ud uc f gfn u yfht qs hzppptg qcc oyt cxemtt fob ztgiijopta dyt fpzfrifopqo lymothmq p sptb vdcmis azlguoa gzuv fnlio oyt vqrdy gytomhmq po pk f bjvw bqpbsin olpmvkmq pt vd clii gytomhmq p spth vnkmic utpqeitdjqpid wficpoa nmcqqm flsspt gjzmyliktc jth kzutauta rx oym ztfq qs tpmqd cittzfe p vmtd job tcwmfpjiid lymothtq vd ynxlk amd krfy fo rwxtq yftb qs vm oyfo uo ztziuqmk j koqltg vqqfi xzptfuxem oq xqmptoo vt sqqv bmepkmqjotin cdmwxuog uodq oym koqmtd fth vmdyqhpffien eoljxutg wmlwem c yjok qcc oymo u jffqrtd po ypay opvt dq gmo dl ktf jc kllo jk u fft oyuk uk vd krkkoudrdt sqq wucdle fth nfei luoy j xypiqclwyuffi selrzuky jjdl oyzlgc ypvktis rxlt ypk cgqqh p aipmden ojxt ol oyt cyux dymqt pk tldyuta crzxqpcutg po dyuk us oymn nid xotl uo jevqco jei vtt ut dymuq bmazmm klvm duvt qq qoymz jymzpky hmqd ttjzid dyt kjvt ctmiuogk dqljzhc dyt lfmft lpdy vt dytqm oql pk dlrz pocrijq fpdn ls oyt vfoyfodqtk kmeotb qlith kn gyfzptk jk ptbpft pkemc kd fqzji zttsk jqvvtqfm krqqlitbc po guoy ytz kizs zpayd job imsd dym cdqmtoc ojxt dlr ljomzgjzb udk mudztvt bqloollo pk oym kfodtqn lytzm dyjo tlnit vlit uc ljkymh nd gjhtc jth flqetb nn kqtmbmc gyujy f ctl ylrqc wqtpplrk ltqm qro lc cpgyo qc ejob ilqe jo dyt jzqghk lc gjotz gfbtzk oytzm jpqfivfvniijdt dym fpdn qc j bzmjvd cjknfoy fsdmqtqlt gl sqqv flzitjzc yllx oq jlmooptk ciux joh czlv oymojm nd lypdtyfii tlzoyljqb gyjo hl dqr kmt xqkdtb iuxm kpetto cmodptmek jee fqqroh oym dqgo kofob dyqikjthc iwlt dylikfobk lc vqqofe vmt cummb po qjmft qmhmzumc kqvt itjtptg fgfutkd dyt cwpemk cqvm cmfotb rwlt oyt xptq ymfbc klvm elqepog qhmq dym kiegfzec qs cypwc czlv jyutj clvm yugy filso ut oym zugauog fc pc koquhuta dl atd f cduii ktodtz ctjgjzb wttw kio dymkm fzt fei ifohcvmo ls lmtx hfnk xtod ix uo efdy foh wejkotq opmh ol jqrtotzc ofuemb oq kmofymc jeuojyth oq bmkxk yql dyto pc dyuc jzt dym gzmto sumebc gltm lyjd hq oymd ytzm nrd ille ymqm fqvt vlzm fqqghk xjjuoa cdzjpgyd cqz dym lfdmq joh kttvuoaid kqiob clq f bupt kozfoat oqoypog lpei jloomod dymv kid oym tmdqtvmko ipvpd ls oyt iftb iqpdtqutg rthtq dyt cyfbn imt qc nqtbmq gjqtyliktk lpei tqo kiccpfm oq dytn vico amo ricd jk ouay dyt gjdtz fk oytd xqkcuked jft ludylio sfeeptg uo foh dytzm dytn kdjtb vuimc lc dymv itjgrmc utifohmqc jii dytd fqvt cqlv ijotc jtb jietdk cdzmtdc foh fhttrmc oqqdy tjkd clrdy fob gtco ntd ymqm oymd fii iouot dmii vt bqtk dyt vjaomopj puzoit qs oym tmmhetc lc dyt jlvwfkkmk lc fei oyqct cyuxk jodzjfd dytv oyuoymz lojm vqqt kjn nlr fqm po dyt jqitozn pt kqvt yuay iftb lc ifxmk ojem jivlko fon xfoy dqi wimfkm fob oto oq qom uo jjzzutk dqi bqgt pt j bjit job itjptk nqi dytzm kd f wqqe pt dyt coqtjv oymqt pc vjguf pt uo etd oyt vqko jnctoo vpobth lc vto kt xeroamh uo yuk btmxmkd qmpmzptk kdftb oyfo vjt qo ypc imac kmd ypc cmmo f aqpoa fob ym luie utcjeepnid imfb dli ol ljdmz us gjdtq oytzt nt po jei dyfd zmgpqo kyqiib nli mptq nt foyuqkd po dym gztfo jvmzufft btcmzo ozn oypk muxtquvtto ps nliq ffzjpft yjxxmo ol nt crwwiuth lpdy j vtdjwyncpfji wzlctkcqq nmk fc mhtzn qot etqgk vthuofoplo fob gfomz fzm lthhmh slq mhtz krd ymzt uc fo fqopco yt bmcpqtk dl wfuoo nlr oym hqtfvpmkd kyfbpmko zrutotko vlkd ttjyjtduog kuo lc qlvfoduf efthkffwt po fie oyt pfeemn ls dym cjjl gyjo uk dyt fyptc timvttd ym tvxilnc oymqm kojtb ypc dzttk tfjy lpdy j ylielg ozrtx jc uc j ymzvpo foh j jqifpspm lmqm gpoyuo jtb ymqm kimmwk yuk vmfblg job dymqm cittw ypk jjddim jtb rx cqqv nqohtz flodjam glmk f kitmxn cvqem bttx utdq hukdftd llqhifthk luobk f vfbn gfd qmffypog dl qpmzijwxuoa cwrzk ls vlitdfuok njoymb uo oympq ypii cphm niit nid oylrgy oyt xufdiqm iptk dyrc dqjtftb fth dyqigy dyuk wuot dqmm cyjetc bllt udk cpgyk iuxt itfpmk iwlo oypk cytxymqh k ytjh dto fii ltzt hjpo itemkk oym cytwymqh k mdt gtqt cputb rxlt oyt vfapf coqmfv ntclzt ypv gl pucuo dyt wzjuzptc pt wrom lyto slz cfqqmk qt cfqzmc qc vpemk dlr gfbt eomm hmtx jvqtg duatz euipmc lyjo uk dym lom fyfzv ljoouog lfdtq dymqt uk tlo f hzlx ls gjdtz oymzm gmzm tpjgjzf nid f jjojzjjo qs cfth gqreb nqi dzfhmi dlrz dyqikfob vpitk ol ctt uo lyn hpb dym xlqq wlmo qs ototmkcmm rxlo kibbmtid qtjmppuoa ogl yjthciec qs kuihtq hteukmqfdt gymoymz oq krn ypv f flfo gyufy ym kfhid tmtbth qz uthtkd ypc vqttd ut f xthtcoqpjt oquw ol zlfxjljd ntfjy lyd uc jivqcd thtqd zqkikd ymfioyn nln luoy f qqkikd ytfedyn cqii po yuv fd cqvm opvm lq ldytq jzfsd dl gq dq kmf gyd iwqt dqiz cuqkd hlnjgt jk f wfkcmtamq hpb dlr nqrzkmic stte krfy j vnkdpfji ppkqfoulo lymt cpzko dqih dyfo nlr jtb dlrq cypw gtzt tql lrd qs kpgyo ls eftb lyd bph oyt lih xtqkpjoc ylib oym cmf ylid gyn bub dym gzmmek aphm uo j ctwjzjot btpdn ftb qgt kzqoymq ls wlhm ciqmid jei oyuc pk tld gpdyqrd vmftuog ftb cdpii httxmq oyt vmfouog qs dyjd cdqzd qc ojqjpckrc lyl kmfjikt ym jqiib olo aqjcx dyt oqqvttouta vpeh pvfat yt kfl ut dyt sqioofpo xirtgth utol po joh gjc hzlltmh kid dyfo cjvt pvfgm gm lizkmiptk ctm po jie qupmqc fth qjmftk uo uc oyt pvjam qc oym roaqjkwfket wyfodqv lc ipcm fth oypc uk oym etd ol uo fii tlg gytt u kjd oyfd p jv uo oyt yfkpo qs gqpog dl ktf gymotpmz u nmgut ol gzll yfbd\n",
      "Not updating anymore after iteration 61\n",
      "Iter 0 of start 1: qh inrgflx wo unnvu ax kn banaas gfmo mraxvfoqm brnoos\n",
      "Iter 0 of start 2: sb cazmxfe jl oaawo ne ta dnannp mxkl kznewxlsk dzallp\n",
      "Iter 0 of start 3: la dpequjr ms bppob kr hp ikpkky qugs gekrouslg iepssy\n",
      "Not updating anymore after iteration 47\n",
      "Iter 0 of start 1: fa ywdpjoz lj bwwem jn uw ogckjq eepz qljnejkfi odckkq\n",
      "Iter 0 of start 2: da oyriwle gw byyfz wc xy ljutwq ffie qgwcfwtdm lruttq\n",
      "Iter 0 of start 3: pv gnjltrw ut ynnsk tf dn reabtx sslw xutfstbpm rjabbx\n",
      "Iter 0 of start 1: dm rhbozmt da yshoy az cs nfsaat oneo ugazouadv nfhaat\n",
      "Iter 0 of start 2: li mdzhpif ly ncdhn yp qc rbcyyf hruh oayphoylv rbdyyf\n",
      "Iter 0 of start 3: wz qmeyhzs wo kxmyk oh cx ldxoos yljy prohypowb ldmoos\n",
      "Not updating anymore after iteration 57\n",
      "Iter 0 of start 1: xz saoqzue xw rlaqr sg fl colwwe qknb ekwgvewxu colswc vfub zii wba sxva xu ooezul euy pxexz xs zib macazmp ctlpkqefie gu rgudei rkfwilwxlp\n",
      "Iter 0 of start 2: yi punkibl yg wsukw px ts jnsggl kerv legxmlgyb jnspgj mtbv iqq gvu pymu yb nnlibs lbf cylyi yp iqv aujuiac joscekltql xb wxbhlq wetgqsgysc\n",
      "Iter 0 of start 3: hu aqwsurc hy biqsb ax ei owiyyc skzg ckyxvcyhr owiayo verg utt ygq ahvq hr wwcuri crf mhchu ha utg nqoqunm opimkscetc xr bxrlct bkeytiyhim\n",
      "Not updating anymore after iteration 73\n",
      "Iter 0 of start 1: ci wlvvzgm fe fllsf wx sm hdlwwm scrd zceyszecr lvmeeh vcrd qxx wrl efsl cg idzgzl qie flqcg cw qxx elllgog hvmgnvqsum yi fyrczx fcsexmecmg\n",
      "Iter 0 of start 2: ip ecwwtkm yx yccny er nm suceem nigu tixvntxig cwmxxs wigu drr egc xync ik putktc dpx ycdik ie drr xccckak swmkbwdnlm vp yvgitr yinxrmximk\n",
      "Iter 0 of start 3: gx nrppzyk jf jrrij nc ik wurnnk igau zgfhizfga rpkffw pgau tcc nar fjir gy xuzyzr txf jrtgy gn tcc frrryoy wpkylptimk hx jhagzc jgifckfgky\n",
      "Not updating anymore after iteration 48\n",
      "Iter 0 of start 1: nw ptbqawk dp sttgf pr tt nbjpvy qrxy orpuqapnx kctvvy qvxu acc vyt pdqt dw lbawxj awl fnanw dv acc jtnjwls kctsvqoixk uw fuxdac srtvctvdtf\n",
      "Iter 0 of start 2: xf hlwagfs qh vllrd he ll xwuhnb aejb yehiaghxj solnnb anji goo nbl hqal qf pwgfju gfp dxgxf qn goo ulxufpv solvnayzjs if dijqgo velnolnqld\n",
      "Iter 0 of start 3: dc mbvtrca wm kbblj mi bb dvnmhq tiuq yimstrmdu agbhhq thus rgg hqb mwtb wc ovrcun rco jdrdc wh rgg nbdncok agbkhtyfua sc jsuwrg kibhgbhwbj\n",
      "Not updating anymore after iteration 43\n",
      "Iter 0 of start 1: zs mqrfusi dv fxqff oo wq grxvvv fnwd cnohkcoda grqovv knwd cuu ohq odkx zs peurax urz jbcdr zo cuu nqgxrzf beqjefubav or joazca jewvuxvzxj vhcv ion duyq oo wq peqsad or jbcrzjd vh nrnqrjocrn dr douui mdv mhnun ion qjxr bhodxe mhxs csn hhg fnah vo vdb dj c\n",
      "Iter 0 of start 2: uj improjb dq rsmrr tt hm wpsqqq rzhd aztceatdk wpmtqq ezhd aoo tcm tdes uj vxopks opu gladp ut aoo zmwspur lxmgxrolkq tp gtkuak gxhqosqusg qcaq btz dofm tt hm vxmjkd tp glapugd qc zpzmpgtapz dp dtoob idq iczoz btz mgsp lctdsx icsj ajz ccw rzkc qt qdl dg a\n",
      "Iter 0 of start 3: ow jvagkwc qt gxvgg rr hv naxttt gdhq mdrelmrqp navrtt ldhq mkk rev rqlx ow iykapx kao sbmqa or mkk dvnxaog byvsygkbpt ra srpomp syhtkxtoxs temt crd qkfv rr hv iyvwpq ra sbmaosq te dadvasrmad qa qrkkc jqt jedkd crd vsxa berqxy jexw mwd een gdpe tr tqb qs m\n",
      "Not updating anymore after iteration 38\n",
      "Iter 0 of start 1: ir lmhxrrf le nmsvo eg jm kasmef xaqs rbmgvreiq kasmef xbqn ytt esm eixm iz uayzqm yrv neylz le rjj kskmzvn ehmoavyjtp wr nwilyt obtmtselmn mnye fwa syhs ew jm faszqs gh nkyrlos eg bzvmhoerrk iz iertp qsp cwbtv fga mysz tgmssa cnsr rrv sgq xbqs mw mie io y\n",
      "Iter 0 of start 2: dn ckzenny cu vkqas uh lk rmqkuy emoq nwkhanudo rmqkuy ewov xjj uqk udek df bmxfok xna vuxcf cu nll rqrkfav uzksmaxljt pn vpdcxj swjkjquckv kvxu ypm qxzq up lk ymqfoq hz vrxncsq uh wfakzsunnr df dunjt oqt ipwja yhm kxqf jhkqqm ivqn nna qho ewoq kp kdu ds x\n",
      "Iter 0 of start 3: mg cbwfggq cx jbusl xi kb zyubxq fytu gebisgxmt zyubxq fetj rhh xub xmfb mn vyrntb rgs jxrcn cx gkk zuzbnsj xwblysrkhp og jomcrh lehbhuxcbj bjrx qoy urwu xo kb qyuntu iw jzrgclu xi ensbwlxggz mn mxghp tup aoehs qiy brun hibuuy ajug ggs uit fetu bo bmx ml r\n",
      "Not updating anymore after iteration 46\n",
      "Iter 0 of start 1: lo uudqnos lf dxuwa fh nu yiuttb qmrz hmtiqhtfk pdxtts qmrc not fcx tfqu lo binaru hop aphfo ft nto pupxovd pdxdmwhgts ha ahrlho amnttxflxa fcnf shm cnex ti nu biuokc hi dphaldc th xopuddthop lo fthob vzs jhxtp shm xexo ghfzui vzxo hop ziv qmkc fh ffy fd h\n",
      "Iter 0 of start 2: hl ttosilb hz omtcy zq it aetxxn sdgf qdxesqxzj komxxb sdgu ilx zum xzst hl neiygt qlk ykqzl zx ixl ktkmlwo komodcqrxb qy yqghql ydixxmzhmy zuiz bqd uivm xe it netlju qe okqyhou xq mlktooxqlk hl zxqln wfb pqmxk bqd mvml rqzfte wfml qlk few sdju zq zza zo q\n",
      "Iter 0 of start 3: ja llxiwao jt xbldy tn wl grlpph iesk neprinptq cxbppo iesu wap tub ptil ja hrwysl nac ycnta tp wpa clcbazx cxbxednmpo ny ynsjna yewppbtjby tuwt one uwfb pr wl hrlaqu nr xcnyjxu pn baclxxpnac ja tpnah zko vnbpc one bfba mntklr zkba nac krz iequ tn ttg tx n\n",
      "Not updating anymore after iteration 43\n",
      "Iter 0 of start 1: xq dvoumiz th ojvfo gy wj bevhgy flmp uqghfmhtm bojghy uqmp mle gcj hxuv tq kouqwj uqn xbuti tg mle avbjiao bejoquuwey yi oymxul xqkglvgtvx gcuh zyl puvv hh wv fejqmp he obuitoc gy linjexguin tq xhmey rpy ghqen zhq jvvi wyhcje gpvq uia phr fqmc gy gxb to u tlvohxyq gcmh cuo wvjq vjntid vxotghoo gh vleyrj kyo uo lhii mo bjyrej cuvj kjvi heuvvlexii meylin gcj wyqgtqvqh ylhxtnv gpjxo hri whligoy th ojjfo vvji vqoyrvuix nhq g pihr hpv mqxrve mwwyoatii hy ijg ryeltqi wy yyldyv ti xxa vq wylihotvo koxhmtq mia gcj qo rpjev mo fyoh zxoxhhex\n",
      "Iter 0 of start 2: wo qsfzlep jh fxsuf mc rx vtshmc uyln zomhulhjl vfxmhc zoln lyt mbx hwzs jo ifzorx zog wvzje jm lyt ksvxekf vtxfozzrtc ce fclwzy woimysmjsw mbzh pcy nzss hh rs utxoln ht fvzejfb mc yegxtwmzeg jo whltc dnc mhotg pho xsse rchbxt mnso zek nhd uolb mc mwv jf z jysfhwco mblh bzf rsxo sxgjeq swfjmhff mh sytcdx icf zf yhee lf vxcdtx bzsx ixse htzssytwee ltcyeg mbx rcomjosoh cyhwjgs mnxwf hde rhyemfc jh fxxuf ssxe sofcdszew gho m nehd hns lowdst lrrcfkjee hc exm dctyjoe rc ccyqcs je wwk so rcyehfjsf ifwhljo lek mbx of dnxts lf ucfh pwfwhhtw\n",
      "Iter 0 of start 3: fi cgdazxo qp degsd mk ye urgpmk svzn aimpszpqz udempk aizn zvr mhe pfag qi wdaiye aib fuaqx qm zvr lguexld urediaayrk kx dkzfav fiwmvgmqgf mhap okv nagg pp yg sreizn pr duaxqdh mk vxberfmaxb qi fpzrk jnk mpirb opi eggx ykpher mngi axl npj sizh mk mfu qd a qvgdpfki mhzp had ygei gebqxc gfdqmpdd mp gvrkje wkd ad vpxx zd uekjre hage wegx praggvrfxx zrkvxb mhe ykimqigip kvpfqbg mnefd pjx ypvxmdk qp deesd ggex gidkjgaxf bpi m nxpj png zifjgr zyykdlqxx pk xem jkrvqix yk kkvckg qx ffl gi ykvxpdqgd wdfpzqi zxl mhe id jnerg zd skdp ofdfpprf\n",
      "Not updating anymore after iteration 40\n",
      "Iter 0 of start 1: xg inrabga gm pnbmp ch en lrncmn aszj btckmocxz lrbmcn mszw oyy mwn cgan xg dsogzn ogr plbxg xm oyy oblnqrp lsnjtmbhya kg phvgoy jshmybcgbp mwbc aks wbyn mk en dsngvw kr plbgxpj ch sqrbrpcbgo gg gcoya qwa pksfr nkt bzbq ekmjbr pwbg oqr whp mszw ch cxl gj o utbpmxhg mwbm wbj hnng znuxgi zgpxchsp ck ntshlb dks oj yhge bp lbhlfb jbzn ebnq msbybffgge oshsqo cwb vkgcggngm htmpgrb mwngr hqq vhsgmrn gm jnbap bzbq nsshlnogj ohg c xghq cjn bqjqbs bvzhsrgqe ch gbq lhyyxqe ea nhtikz gq pgf nt zhsqcsgbj hsgmbgg bqr mwb sj pwnsb oj mhpc zgjgchsp\n",
      "Iter 0 of start 2: tb fjdpebp bv ajeva gy cj wdjgvj pzoh elgnvxgto wdevgj vzou xss vuj gbpj tb qzxboj xbd awetb tv xss xewjmda wzjhlveysp nb ayrbxs hzyvsegbea vueg pnz uesj vn cj qzjbru nd awebtah gy zmdedagebx bb bgxsp mup anzid jnl eoem cnvhed aueb xmd uya vzou gy gtw bh x kleavtyb vuev ueh yjjb ojktbf obatgyza gn jlzywe qnz xh sybc ea weywie heoj cejm vzeseiibbc xzyzmx gue rnbgbbjbv ylvabde vujbd ymm ryzbvdj bv hjepa eoem jzzywjxbh xyb g tbym ghj emhmez eroyzdbmc gy bem wysstmc cp jylfno bm abi jl oyzmgzbeh yzbvebb emd vue zh aujze xh vyag obhbgyza\n",
      "Iter 0 of start 3: ux cgworxo xf tgrft en ag iwgefg opkm rdebfyeuk iwrfeg fpkv yss fvg exog ux hpyxkg yxw tirux uf yss yrigzwt ipgmdfrnso bx tnlxys mpnfsrexrt fvre obp vrsg fb ag hpgxlv bw tirxutm en pzwrwterxy xx xeyso zvo tbpqw gbd rkrz abfmrw tvrx yzw vnt fpkv en eui xm y jdrtfunx fvrf vrm nggx kgjuxc kxtuenpt eb gdpnir hbp ym snxa rt irniqr mrkg argz fprsrqqxxa ypnpzy evr lbxexxgxf ndftxwr fvgxw nzz lnpxfwg xf mgrot rkrz gppnigyxm ynx e uxnz emg rzmzrp rlknpwxza en xrz inssuza ao gndcbk xz txq gd knpzepxrm npxfrxx rzw fvr pm tvgpr ym fnte kxmxenpt\n",
      "Not updating anymore after iteration 46\n",
      "Iter 0 of start 1: pa scmzfai rv tcyzt vc bc jmyvvi wazg fjvwwlspg jqyvvi zazg ltt sgc srwc rb hmfagy lbl yxfra rv lkt lyjybhy jqcyazfbki cb ycgrlt tabvtysrct vkfs iwa glvy vw ry hmyagg cm tjlbpyk vw abhymtvfbh ra pslti egi uwjkl ica ceya bwvkym egya lbl gce zjzg vw srj pt l pacyvrca skls kly rccb vyorbs eptpvwqy vc caqwxy mwq lt kcas ft xycxty klec rccb vmfeckkpbu lqwjah sky zcaspayas cavyrly vkcpm ceb zcjbvqi rs tyyzt cvcb cjqcjclbt hwa v dbwe vky fbtucq fzzcqhpbs sc aye jwtkrbs ri icauce pb yro yj zcjavmryy rqpslpa fah vkc at ukcqy lt zwts vryrvcqt\n",
      "Iter 0 of start 2: xf qepjafc kb ielji be se oplbbc yfjw aobyygqxw ovlbbc jfjw gii qwe qkye ks rpafwl gsg ldakf kb ghi glolsrl ovelfjashc es lewkgi ifsbilqkei bhaq cyf wgbl by kl rplfww ep iogsxlh by fsrlpibasr kf xqgic nwc zyohg cef enlf sybhlp nwlf gsg wen jojw by qko xi g xfelbkef qhgq hgl kees bltksq nxixbyvl be efvydl pyv gi hefq ai dledil hgne kees bpanehhxsz gvyofr qhl jefqxflfq efblkgl bhexp ens jeosbvc kq illji ebes eoveoegsi ryf b usyn bhl asizev ajjevrxsq qe fln oyihksq kc cefzen xs lkt lo jeofbpkll kvxqgxf afr bhe fi zhevl gi jyiq bklkbevi\n",
      "Iter 0 of start 3: zn jkdvonu ct ikwvi tk yk gdwttu bnvq ogtbbsjzq glwttu vnvq sii jqk jcbk cy pdonqw sys wmocn ct shi swgwypw glkwnvoyhu ky wkqcsi inytiwjcki thoj ubn qstw tb cw pdwnqq kd igsyzwh tb nypwditoyp cn zjsiu equ xbghs ukn kewn ybthwd eqwn sys qke vgvq tb jcg zi s znkwtckn jhsj hsw ckky twfcyj eziztblw tk knlbmw dbl si hknj oi mwkmiw hsek ckky tdoekhhzyx slbgnp jhw vknjznwnj kntwcsw thkzd key vkgytlu cj iwwvi ktky kglkgksyi pbn t rybe thw oyixkl ovvklpzyj jk nwe gbihcyj cu uknxke zy wcf wg vkgntdcww clzjszn onp thk ni xhklw si vbij tcwctkli\n",
      "Not updating anymore after iteration 64\n",
      "Iter 0 of start 1: pl mejpnyq hk deeid kx lo ujeykq ibek jbyninyhs ujekkq ivsz jff kze kpio py gjnlse jlw dujhl hk nff weuoyhi uaedvpjlfq xy dnepnc dvayfokpei yknk zxv zjxe yx ae gjeyek na iunyhdk yx blhojdknlh pl pkjfz gkz gnbfw qnv exel axyzea gzol jyh kng ibsz kn khu pi n ovoikpxl kknk kni leel xowplm xhihknjd yn ebjxue mnj ni fxyd ni uonuco zjqe aeoy yajqecchym jjnbyh kko exyyhleyy xvyiphe kkeha xfy enbyyaz hy doeii oxel evanuojli hxl k tyng yko nldfoj nssxahhld yx yof uxcfpld lq qxvdnq hl dhw ob exvlkapei lapkjpy jyw yze vi fkoao jd indy xhdpknad cyxf lvk pnq ae jocbsyjyk kx nstlngfehme mankvpkped pjz pnte vu ixae kkny kjfm znbj gnpyuoadxy i hysxie ebaxuojyi nje heoucq hpqphow ny khuuhlm py jeiynvajlki gxa etjiufe xm aeduxlheyyi pl mojpjlq yxch yze uxcfiyej kzoz kquhsjcfz yhuuoh jfixik yko djie jd kzo vd hy yko bc gzeae jl nuypxljc ieaqheo ezjade ng janbk hi vdvjfcz pysfvwoh inhw kkeq cemy j majybpyz yzo mhmvjo hy dujhl fkeje doaxpse hi xmyel pyecbweh hl jeiyjbjjyk lhfci lvk whyeai ejy conqe nukhnljf khui gnd gkpfe py gajlse gkeje exoaq uapso xl n jeiknbajlk poyv jfaenhq hlscvwed mxa doaqheo xg uonuco inhh yzeq moleajcfz kpuuow nl yxu oqol py ifowel fzeae ypud nje moyojjffz lny otuesyeh yze mpmbae gni abk nycz xm hynfpjld ijph kkeq gnbcw kzupsjcfz fenqo n mankvhkz jgyoa j pojf xby fpkk n jnkkoa djejyea uanuxjkpxy nhipykpym kzoz loqoa fegk n eeyy j dynaycpym ng aoiuxyweyyi py yzo vd zxfeqea jyh\n",
      "Iter 0 of start 2: km odaktwx jn fddbf ns mg radwnx budn auwtbtwjv radnnx bivl app nld nkbg kw hatmvd amq frajm jn tpp qdrgwjb redfikampx sw ftdkty fiewpgnkdb wntn lsi lasd ws ed hadwdn te brtwjfn ws umjgafntmj km knapl hnl htupq xti dsdm eswlde hlgm awj nth buvl nt njr kb t gigbnksm nntn ntb mddm sgqkmo sjbjntaf wt duasrd ota tb pswf tb rgtryg laxd edgw weaxdyyjwo aatuwj nng dswwjmdww siwbkjd nndje spw dtuwwel jw fgdbb gsdm dietrgamb jsm n zwth wng tmfpga tvvsejjmf ws wgp rsypkmf mx xsiftx jm fjq gu dsimnekdb meknakw awq wld ib pngeg af btfw sjfkntef ywsp min ktx ed agyuvwawn ns tvzmthpdjod oetniknkdf kal ktzd ir bsed nntw napo ltua htkwrgefsw b jwvsbd duesrgawb tad jdgryx jkxkjgq tw njrrjmo kw adbwtieamnb hse dzabrpd so edfrsmjdwwb km ogakamx wsyj wld rsypbwda nlgl nxrjvaypl wjrrgj apbsbn wng fabd af nlg if jw wng uy hlded am trwksmay bdexjdg dlaefd th aetun jb ifiapyl kwvpiqgj btjq nndx ydow a oeawukwl wlg ojoiag jw frajm pndad fgeskvd jb sowdm kwdyuqdj jm adbwauaawn mjpyb min qjwdeb daw ygtxd trnjtmap njrb htf hnkpd kw heamvd hndad dsgex rekvg sm t adbntueamn kgwi apedtjx jmvyiqdf ose fgexjdg sh rgtryg btjj wldx ogmdeaypl nkrrgq tm wsr gxgm kw bpgqdm plded wkrf tad ogwgaappl mtw gzrdvwdj wld okoued htb eun twyl so jwtpkamf bakj nndx htuyq nlrkvaypl pdtxg t oetnijnl ahwge a kgap suw pknn t atnnge fadawde retrsanksw tjbkwnkwo nlgl mgxge pdhn t ddww a fwtewykwo th egbrswqdwwb kw wlg if lspdxde awj\n",
      "Iter 0 of start 3: ks ydpkrcn fa lddil aq se tpdcan ihda phcrircfz tpdaan iuzo pmm aod akie kc xprszd psw ltpfs fa rmm wdtecfi tgdlukpsmn qc lrdkrj lugcmeakdi cara oqu opqd cq gd xpdcda rg itrcfla cq hsfeplarsf ks kapmo xao xrhmw nru dqds gqcodg xoes pcf arx ihzo ar aft ki r eueiakqs aara ari sdds qewksy qfifarpl cr dhpqtd yrp ri mqcl ri tertje opnd gdec cgpndjjfcy pprhcf aae dqccfsdcc qucikfd aadfg qmc drhccgo fc ledii eqds dugrtepsi fqs a vcrx cae rslmep rzzqgffsl cq cem tqjmksl sn nqulrn fs lfw eh dqusagkdi sgkapkc pcw cod ui maege pl irlc qflkargl jcqm sua krn gd pejhzcpca aq rzvsrxmdfyd ygraukakdl kpo krvd ut iqgd aarc apmy orhp xrkcteglqc i fczqid dhgqtepci rpd fdetjn fknkfew rc afttfsy kc pdicrugpsai xqg dvpitmd qy gdltqsfdcci ks yepkpsn cqjf cod tqjmicdp aoeo antfzpjmo cfttef pmiqia cae lpid pl aoe ul fc cae hj xodgd ps rtckqspj idgnfde dopgld rx pgrha fi ulupmjo kczmuwef irfw aadn jdyc p ygpchkco coe yfyupe fc ltpfs madpd legqkzd fi qycds kcdjhwdf fs pdicphppca sfmji sua wfcdgi dpc jernd rtafrspm afti xrl xakmd kc xgpszd xadpd dqegn tgkze qs r pdiarhgpsa kecu pmgdrfn fszjuwdl yqg legnfde qx tertje irff codn yesdgpjmo akttew rs cqt enes kc imewds modgd cktl rpd yeceppmmo src evtdzcdf cod ykyhgd xri gha rcjo qy fcrmkpsl ipkf aadn xrhjw aotkzpjmo mdrne r ygraufao pxceg p kepm qhc mkaa r praaeg lpdpcdg tgrtqpakqc rfikcakcy aoeo seneg mdxa r ddcc p lcrgcjkcy rx geitqcwdcci kc coe ul oqmdndg pcf\n",
      "Not updating anymore after iteration 60\n",
      "Iter 0 of start 1: lf ousdbfq lh rmudr ml ju wxummq avzx bvhedbmyz pxumhq aagx bwj hou hydu lf csbfgu bfn rpbyf yh bjj nupufyr wxmraabjwq lf rlglbj rvjhjmmyut hxbh qla obsm me hu cxufzo ex rpbfyrx hl afyusrmbfy lf ymbwq koq keawy qea usmf jehxmx exmf bfn oee dago he mlp lt b camrhylf hxbm xbt jmuf smvyfo uyrlhext he masewu cls bt jefg bt wuepwm xbsm jumf msbumwwyfg bslvfy mom zefmlfufh evmtlnu houyx lkf zlafhsq lh rmudt uumf uaslwmbft nef m tfee hxm bftkus bzgexyyfo he fmk pejjyfg hq qeagls lf rlv ma geafhslur jxlmbyf bfn hom ar exusm br alth sytlhesr pflk hah dbq jm xuwvzmbfh ml bgtflejungm oxbhaymlut abq dbpu aw alxu mobf obwr qevs ebymwmxrlf t yfgeau uaxlwmbfr bxm nuuwwq yyulymy lf hlwplfg yf xmthbvxbfmt rex udbawwu ec xmtwlfnmfht lf gmxdbfq mejn hom wlwwrmms mxmq hqplgbwjq mlpwmy bwdlrh mxu tbdu br mxm vt lf hom vp eomsu bf lphlefbw ruxslzm gobxgu lr bjlvh yr vtabwwq lfzwayun tbln mouq jmrh b osbhvymq mxm ryovsm yf rpbyf exuxu rusulzu yt ermuf lfzjayun lf smrmbaxbfm jljjt jvm ylfmxt zbf jubsu ewmylfbw mlwt ebt exlwm lf cxbfzm eomsm ususq pxlzm ef b xuthbvsbfh amfv bjxmbyq yfgwanmt cls tussyzu lc pmewjm tbln mouq oufusbjwq mypwmn ef hlp usuf lf rkmnmf kxuxm mlpr bxm gmfusbwjq feh mvpmghuy hxu rygaxu ebt jah lfjq ec yhbjybfr tbln mouq eeajy hqplgbwjq jubum b osbhalhq brhms b dubj eah eyho b xbhxmx oxmbhux pxepexmlef bydyhmyfg hxmq fmuus wmrm b gufh b thbsmjlfg lr xurwefnmfhr yf hou vr olkusmx bfy\n",
      "Iter 0 of start 2: ki qwdpjir ko tywpt yk mw eawyyr xcga jcofpjyhg bawyor xxsa jem oqw ohpw ki ndjisw jiz tbjhi ho jmm zwbwiht eaytxxjmer ki tkskjm tcmomyyhwl oajo rkx qjdy yf ow nawigq fa tbjihta ok xihwdtyjih ki hyjer uqr ufxeh rfx wdyi mfoaya fayi jiz qff pxsq of ykb kl j nxytohki oajy ajl mywi dychiq whtkofal of yxdfew nkd jl mfis jl ewfbey ajdy mwyi ydjwyeehis jdkcih yqy gfiykiwio fcylkzw oqwha kui gkxiodr ko tywpl wwyi wxdkeyjil zfi y liff oay jiluwd jgsfahhiq of iyu bfmmhis or rfxskd ki tkc yx sfxiodkwt makyjhi jiz oqy xt fawdy jt xklo dhlkofdt biku oxo pjr my awecgyjio yk jslikfmwzsy qajoxhykwl xjr pjbw xe xkaw yqji qjet rfcd fjhyeyatki l hisfxw wxakeyjit jay zwweer hhwkhyh ki okebkis hi aylojcajiyl tfa wpjxeew fn aylekizyiol ki syapjir yfmz oqy ekeetyyd yayr orbksjemr ykbeyh jepkto yaw ljpw jt yay cl ki oqy cb fqydw ji kbokfije twadkgy sqjasw kt jmkco ht clxjeer kigexhwz ljkz yqwr myto j qdjochyr yay thqcdy hi tbjhi fawaw twdwkgw hl ftywi kigmxhwz ki dytyjxajiy mkmml mcy hkiyal gji mwjdw feyhkije ykel fjl fakey ki najigy fqydy wdwdr bakgy fi j awlojcdjio xyic jmayjhr hisexzyl nkd lwddhgw kn byfemy ljkz yqwr qwiwdjmer yhbeyz fi okb wdwi ki tuyzyi uaway ykbt jay syiwdjemr ifo ycbysowh oaw thsxaw fjl mxo kimr fn hojmhjit ljkz yqwr ffxmh orbksjemr mwjwy j qdjoxkor jtoyd j pwjm fxo fhoq j ajoaya qayjowa bafbfaykfi jhphoyhis oayr iywwd eyty j swio j lojdymkis kt awtefizyiot hi oqw ct qkuwdya jih\n",
      "Iter 0 of start 3: rc whvnlcu rz ephne pr ih xkhppu saok lazfnlpgo tkhpzu ssdk lxi zwh zgnh rc qvlcdh lcj etlgc gz lii jhthcge xkpesslixu rc erdrli eaizippghm zklz urs wlvp pf zh qkhcow fk etlcgek zr scghveplcg rc gplxu ywu yfsxg ufs hvpc ifzkpk fkpc lcj wff nsdw zf prt rm l qspezgrc zklp klm iphc vpagcw hgerzfkm zf psvfxh qrv lm ifcd lm xhftxp klvp ihpc pvlhpxxgcd lvracg pwp ofcprchcz fapmrjh zwhgk ryc orsczvu rz ephnm hhpc hsvrxplcm jfc p mcff zkp lcmyhv lodfkggcw zf cpy tfiigcd zu ufsdrv rc era ps dfsczvrhe ikrplgc lcj zwp se fkhvp le srmz vgmrzfve tcry zsz nlu ip khxaoplcz pr ldmcrfihjdp wklzsgprhm slu nlth sx srkh pwlc wlxe ufav flgpxpkerc m gcdfsh hskrxplce lkp jhhxxu gghrgpg rc zrxtrcd gc kpmzlaklcpm efk hnlsxxh fq kpmxrcjpczm rc dpknlcu pfij zwp xrxxeppv pkpu zutrdlxiu prtxpg lxnrez pkh mlnh le pkp am rc zwp at fwpvh lc rtzrfclx ehkvrop dwlkdh re liraz ge amslxxu rcoxsghj mlrj pwhu ipez l wvlzagpu pkp egwavp gc etlgc fkhkh ehvhroh gm fephc rcoisghj rc vpeplsklcp iriim iap grcpkm olc ihlvh fxpgrclx prxm flm fkrxp rc qklcop fwpvp hvhvu tkrop fc l khmzlavlcz spca likplgu gcdxsjpm qrv mhvvgoh rq tpfxip mlrj pwhu whchvlixu pgtxpj fc zrt hvhc rc eypjpc ykhkp prte lkp dpchvlxiu cfz patpdzhg zkh egdskh flm isz rciu fq gzliglce mlrj pwhu ffsig zutrdlxiu ihlhp l wvlzsrzu lezpv l nhli fsz fgzw l klzkpk wkplzhk tkftfkprfc lgngzpgcd zkpu cphhv xpep l dhcz l mzlvpircd re khexfcjpcze gc zwh ae wryhvpk lcg\n",
      "Not updating anymore after iteration 47\n",
      "Iter 0 of start 1: qt hgkldtv fd cggyc dw yg nkgddv lutm prewyddft nkgdev yrtm puu emg dflg qt xjdtag dej xndqt fe puz lgngtjc vjgcrldizv se cstqdz cuidugefgx emde rsu hpkg dw ig ckgeah wj cvdeqch ds rtjgkxedel ft qepuv nhr osrul vwr gbgt iwemgj ohgt pej hsn yrah ew eqn qc p qugxdfwt emde mdx yggt kgwfth kqxqeskc es grjsvg xwk dc zsts px ngwvzg hpkg igge dkpkguzqeh djsuel emg twedfegee wudxqjg dhgqj snt tsutdjr qe xgglx gbge grkwngdex lse d aesn emg pexogj datwklfth ds ego vsuuqes ir rwrswk qt xqw gu awreekfgc yjqedqt dtj dhg rx nhgkg dx lsxe bqxfdskx atso yrd ydr ig jguuadded dw ptatwnugjsg skddufefgc ydr ydag rv lwjg emde mdzc vwrj opqevgkxst x ftawlg gujsngdec dkg jggnzr jqbfjgl st dqvvqes qe kgxedrjpeec xsk gpdyvug wc kgcvstlgtdc qt sgjldtr esuj dmg vsuzxdgj dhgv evnqtdzzr efvngl duyscd ehg xpyg dx dmg rx qt dhg ro nmgkg pt wneqwtpz cgkkftg ahpkhg wc dysrd fx rcuduzv qttzrjgj cdfl dmgv zgcd d skpdrfdr dmg cqsujg ft xnpqe omgkg cgjkqtg fx scdge feturlgj ft kgxeprjpte iquuc iue jqtgkc adt zgdkg svdqstdz dfnc odx nmqug qt cjpetg nhgkg gbgkv vjfag we d jgcdpujdtd lgeu pujgplv ftturjgx xsk cgjbftg sc ngsvzg cdqj ehgv sgegjduzr efvvgj wt esn gkge qe cogjge omgkg dqnx djg hgtgkpzuv tsd gwngadgl emg xfhujg opc yue wtur wc feduqdtc xdql dmgv owuuj drnqapzzv zgdkg d hkderqer pcegk d lgpu wre nfdm d kddhgk hjgdegk vksnwkdqse dlyfdeqts dhgv tgkgk zgcd p agtd p xdpkdzfes sc kgxnstlgedx fe emg uc msngkgj pel\n",
      "Iter 0 of start 2: ef nvkzdfi hd jvvxj do xv qkvddi zafy sluoxddhf qkvdui xlfy saa uyv dhzv ef tbdfmv dub tqdef hu sac zvqvfbj ibvjlzdpci ru jrfedc japdavuhvt uydu lra nskv do pv jkvumn ob jiduejn dr lfbvktuduz hf eusai qnl wrlaz iol vgvf pouyvb wnvf sub nrq xlmn uo ueq ej s eavtdhof uydu ydt xvvf kvohfn keteurkj ur vlbriv tok dj crfr st qvoicv nskv pvvu dkskvaceun dbrauz uyv foudhuvuu oadtebv dnveb rqf frafdbl eu tvvzt vgvu vlkoqvdut zru d murq uyv sutwvb dmfokzhfn dr uvw iraaeur pl lolrok ef teo va moluukhvj xbeudef dfb dnv lt qnvkv dt zrtu gethdrkt mfrw xld xdl pv bvaamddud do sfmfoqavbrv rkddahuhvj xdl xdmv li zobv uydu ydcj iolb wseuivktrf t hfmozv vabrqvduj dkv bvvqcl beghbvz rf deiieur eu kvtudlbsuuj trk vsdxiav oj kvjirfzvfdj ef rvbzdfl urab dyv iractdvb dnvi uiqefdccl uhiqvz daxrjd unv tsxv dt dyv lt ef dnv lw qyvkv sf oqueofsc jvkkhfv mnsknv oj dxrld ht ljadaci effclbvb jdhz dyvi cvjd d rksdlhdl dyv jerabv hf tqseu wyvkv jvbkefv ht rjdvu hufalzvb hf kvtuslbsfu peaaj pau befvkj mdf cvdkv riderfdc dhqj wdt qyeav ef jbsufv qnvkv vgvki ibhmv ou d bvjdsabdfd zvua sabvszi hffalbvt trk jvbghfv rj qvricv jdeb unvi rvuvbdacl uhiivb of urq vkvu eu jwvbvu wyvkv deqt dbv nvfvkscai frd voqvmdvz uyv thnabv wsj xau ofal oj hudaedfj tdez dyvi woaab dlqemscci cvdkv d nkduleul sjuvk d zvsa olu qhdy d kddnvk nbvduvk ikrqokderu dzxhduefr dnvi fvkvk cvjd s mvfd s tdskdchur rj kvtqrfzvudt hu uyv aj yrqvkvb suz\n",
      "Iter 0 of start 3: gn javmdnk id zaabz dp ba yvaddk mwnf hcspbddin yvadsk bcnf hww sfa dima gn eqdnta dsq eydgn is hwx mayanqz kqazcmdlxk rs zrngdx zwldwasiae sfds crw jhva dp la zvastj pq zkdsgzj dr cnqavesdsm in gshwk yjc urcwm kpc aoan lpsfaq ujan hsq jry bctj sp sgy gz h gwaedipn sfds fde baan vapinj vgegsrvz sr acqrka epv dz xrnr he yapkxa jhva laas dvhvawxgsj dqrwsm sfa npsdisass pwdegqa djagq ryn nrwndqc gs eaame aoas acvpyadse mrs d tsry sfa hseuaq dtnpvminj dr sau krwwgsr lc cpcrpv gn egp aw tpcssviaz bqgsdgn dnq dja ce yjava de mres ogeidrve tnru bcd bdc la qawwtddsd dp hntnpywaqra rvddwisiaz bdc bdta ck mpqa sfds fdxz kpcq uhgskavern e intpma awqryadsz dva qaayxc qgoiqam rn dgkkgsr gs vaesdcqhssz erv ahdbkwa pz vazkrnmandz gn raqmdnc srwq dfa krwxedaq djak skygndxxc sikyam dwbrzd sja ehba de dfa ce gn dja cu yfava hn pysgpnhx zavvina tjhvja pz dbrcd ie czwdwxk gnnxcqaq zdim dfak xazd d rvhdcidc dfa zgrwqa in eyhgs ufava zaqvgna ie rzdas isnwcmaq in vaeshcqhns lgwwz lws qgnavz tdn xadva rkdgrndx diyz ude yfgwa gn zqhsna yjava aoavk kqita ps d qazdhwqdnd masw hwqahmk innwcqae erv zaqoina rz yarkxa zdgq sjak rasaqdwxc sikkaq pn sry avas gs zuaqas ufava dgye dqa janavhxwk nrd apyatdam sfa eijwqa uhz bws pnwc pz isdwgdnz edgm dfak upwwq dcygthxxk xadva d jvdscgsc hzsav d mahw pcs yidf d vddjav jqadsav kvrypvdgrs dmbidsgnr djak navav xazd h tand h edhvdxisr rz vaeyrnmasde is sfa wz fryavaq hsm\n",
      "Not updating anymore after iteration 44\n",
      "Iter 0 of start 1: jw odrufwp je gvdug ee td qrvcep zhtf fkequocax qmdeej uhxf fxz cfv cazv aw irowtv fwg bqfjw ac fzz gvqdwlg qmvbhufyzj qw gexjfx bkyczveavg ccoc jeh cfpv ee yd smvwtc em gqowjgf ce hwlvrbefwl jw acfzj bfp dehzg pek drvw yeecvm dcvw fwl fqd uktf ee eaq ab o kkdgcaqw effe cfg tvvw rviawn pabjeqmg eq dkmqqv ier ob xqwo fb qdqqzv cfrd yvvw emorvzxawo omekwg ccv xewejwvwe ehcbjgd cfdjr qbw xqkwemj ac gdvzb dpvw vhmeqvfwb lew e hweb efv fwbddr otxemljwo ce wvb qezzjwo yj jekoep aw bji dk tqkwerjvg tmjefjw fwl ecv kb bcdmv fb zebe rjbacqrb lwed tke uop yd rdzhxcfwe ee ftlwqbzvgod orfchacadg zoj ufhv km uqrv ccfw foxs jqkr dojeqvrgew b awtezv dkmqmdfwg fmv lvvmzp gjpagvg qw ejmmawn jw mdgefhmowcb ier vioumzd qi rdbqewlvwcg aw ndmzfwj cqzl ccv qqzzbevm ecdp cjqatoxzp ejmqdg oxzqbe ccd bfuv fb ecv kb aw ecd hl bcdmv ow eqeaqwox gdmpatv xcfrod qi oyqke ag kbkfxxp jwtzklvg bfag ccdj xvse o orockjep cfd sjnhrd aw bmfjw dfdrv bvrpjxd ag eievw awtxhgvl aw rdgeokrowe yjxxg tke gjwdrb xow xvfpd eqcaqwoz cjmg bfg dfazd jw imowtv bfdmd drdmp qmatv ew f mdgcohrfwe zdwh ozmdolj awtxhgdg iqm bdmratd es qvqqxv bojg ccdp ovwdrozxp camqdg qw cqq dpvw jw bdvgdw dcvrd ejmg frv ndwdrfzxj wee vimvxevg ecd ianhrd bfg yhe ewzj qi aeozjowb bfjg ecdp bqkzl cpmjtoxzj zdfrd f nmfchjcj fsedr o zvoz qhc djef f mfefvm nmdocdm mreqemejqw flzaeejwn ccdj wvpdr zdie o xdwc o georczawn qi mvbmqwlvweg jw ecv hb fqddpdm fwg qs ndmuowg tj ifm efd zebc jw vkrqmd xewivggdg ecdj behzl eaq bquvcjzdg qm qsevw dpdw as efv bvrpaxv dob cdmratzd awlatfejwn ccfe ier bezv caqqawn jb wec ftekc khfxacp es bvmpaxv oe ozx cfv iawgawng es cfd bkmrvj bjxz teuv ob f gkrqrjbd jw ovmzfwj o tqkwcrp ecoe gevg wqe ovwvrfzxj ecawl qs acbdzs fg o wfejew qi fomqj gjbcratkeqrb ei erawhndxl ccv derg aw f gjuaxfm pvjw eq qekmyqard aw imvwtc zvowb lmawlawn zqwdj wem jg ndruowj o tqkwcmp bfebv gdrpatd bcois omd qfreaxkxomxp tkbeezvm smavwgxj jw tvmzaw f oxobg qs tdvm qr o qzocd qi sqql jb qsevw bdmrdg aw o fhii rfecdr cffw bjcc o bzjzv wec ier wecfawn ag gdrratvb gev lvkegxcxowg odmuowp ag f bvmpjxv ldgdrc o cfjwo jvc ccd loef mdizdxeb o xxdor erdwl nvmzfwb cvwl ee cowl epdm o idd vierf xqawg amrdgmdxejrd es cqd ccdj ffpd yvvw emvocvg ccdj frv ecv wfeaqw jw dkmeqd xvfgc xahdxj ee wec ejq drvw sem qeqr bvrraxv owg cfv uqbc bazzawo ee qop dncro sqr fpvmonv gvrpatv o tewejwkawn iqwlwvbb iqm tfgc ufp td f soxcer djef zfwj cona gmjpvmb owg yfrg bcazz mvskbawo qopuvwe yp xfrl o nrqdawn fdomvwvbb qi xfyqhr bcemcfnvb jw efv xoevmjwo bdteem tekzg oxbe dimxfjw f tcowov aw fccjehld dacc zfwj tfmb fwl xosdb vpvw jw tao tjcjvg mvlhxawn cfvar qqdwjwn cekmg lhd eq f mqbe mfwlvzjx zfxh es gcoii gqzv yomhvvqvmb bop cfdam xkgceudrg cfrv rvxvwezj tdtqud uemv ovwdrekb eaqqvrb yke js odmzow camqawo cotaeb gddu awnrfawvl ccdp fmv\n",
      "Iter 0 of start 2: by ktdlryq be gstlg ee pt zdsfeq jxpr roezlkfin zmteeb lxnr rnj frs fijs iy udkyps ryg czrby if rjj gsztyag zmscxlrwjb zy genbrn cowfjseisg ffkf bex frqs ee wt hmsypf em gzkybgr fe xyasdcerya by ifrjb crq texjg qeo tdsy weefsm tfsy rya rzt lopr ee eiz ic k ootgfizy erre frg pssy dsuiyv qicbezmg ez tomzzs ued kc nzyk rc ztzzjs frdt wssy emkdsjniyk kmeoyg ffs neyebysye exfcbgt frtbd zcy nzoyemb if gtsjc tqsy sxmezsryc aey e xyec ers rycttd kpnemabyk fe ysc zejjbyk wb beokeq iy cbu to pzoyedbsg pmberby rya efs oc cftms rc jece dbcifzdc ayet poe lkq wt dtjxnfrye ee rpayzcjsgkt kdrfxifitg jkb lrxs om lzds ffry rknh bzod tkbezsdgey c iypejs tomzmtryg rms assmjq gbqigsg zy ebmmiyv by mtgerxmkyfc ued suklmjt zu dtczeyasyfg iy vtmjryb fzja ffs zzjjcesm eftq fbzipknjq ebmztg knjzce fft crls rc efs oc iy eft xa cftms ky ezeizykn gtmqips nfrdkt zu kwzoe ig ocornnq bypjoasg crig fftb nshe k kdkfobeq frt hbvxdt iy cmrby trtds csdqbnt ig euesy iypnxgsa iy dtgekodkye wbnng poe gbytdc nky nsrqt ezfizykj fbmg crg trijt by umkyps crtmt tdtmq zmips ey r mtgfkxdrye jtyx kjmtkab iypnxgtg uzm ctmdipt eh zszzns ckbg fftq ksytdkjnq fimztg zy fzz tqsy by ctsgty tfsdt ebmg rds vtytdrjnb yee sumsnesg eft uivxdt crg wxe eyjb zu iekjbkyc crbg eftq czoja fqmbpknjb jtrdt r vmrfxbfb rhetd k jskj zxf tber r mrersm vmtkftm mdezemebzy rajieebyv fftb ysqtd jtue k ntyf k gekdfjiyv zu mscmzyasyeg by efs xc rzttqtm ryg zh vtmlkyg pb urm ert jecf by sodzmt neyusggtg eftb cexja eiz czlsfbjtg zm zhesy tqty ih ers csdqins tkc ftmdipjt iyaiprebyv ffre ued cejs fizziyv bc yef rpeof oxrnifq eh csmqins ke kjn frs uiygiyvg eh frt comdsb cbnj pels kc r godzdbct by ksmjryb k pzoyfdq efke gesg yze ksysdrjnb efiya zh ifctjh rg k yrebey zu rkmzb gbcfdipoezdc eu ediyxvtna ffs tedg iy r gblinrm qsby ez zeomwzidt iy umsypf jskyc amiyaiyv jzytb yem bg vtdlkyb k pzoyfmq crecs gtdqipt cfkuh kmt zrdeinonkmnq poceejsm hmisygnb by psmjiy r knkcg zh ptsm zd k zjkft zu hzza bc zhesy ctmdtg iy k rxuu dreftd frry cbff k cjbjs yef ued yefriyv ig gtddipsc ges asoegnfnkyg ktmlkyq ig r csmqbns atgtdf k frbyk bsf fft aker mtujtnec k nntkd edtya vsmjryc fsya ee fkya eqtm k utt suedr nziyg imdtgmtnebdt eh fzt fftb rrqt wssy emskfsg fftb rds efs yreizy by tomezt nsrgf nixtnb ee yef ebz tdsy hem zezd csddins kyg frs lzcf cijjiyk ee zkq tvfdk hzd rqsmkvs gsdqips k peyebyoiyv uzyayscc uzm prgf lrq pt r hknfed tber jryb fkvi gmbqsmc kyg wrdg cfijj mshociyk zkqlsye wq nrda k vdztiyv rtkmsyscc zu nrwzxd cfemfrvsc by ers nkesmbyk ctpeem peojg knce tumnrby r pfkyks iy rffbexat tiff jryb prmc rya nkhtc sqsy by pik pbfbsg msaxniyv frsid zztybyv feomg axt ez r mzce mryasjbn jrnx eh gfkuu gzjs wkmxsszsmc ckq frtim nogfeltdg frds dsnsyejb ptpzlt lems ksytdeoc eizzsdc woe bh ktmjky fimziyk fkpiec gttl iyvdriysa fftq rms\n",
      "Iter 0 of start 3: dh kuplyho di erule ii vu aprfio cqvy ywialkfzt asuiid lqty ytc fyr fzcr zh gpkhvr yhe jaydh zf ycc erauhxe asrjqlymcd ah eitdyt jwmfcrizre ffkf diq fyor ii mu bsrhvf is eakhdey fi qhxrpjiyhx dh zfycd jyo uiqce oiw uprh miifrs ufrh yhx yau lwvy ii iza zj k wwuefzah iyyi fye vrrh prgzhn ozjdiase ia uwsaar gip kj tahk yj auaacr fypu mrrh iskprctzhk ksiwhe ffr tihidhrhi iqfjdeu fyudp ajh tawhisd zf eurcj uorh rqsiaryhj xih i qhij iyr yhjuup kvtisxdhk fi hrj aiccdhk md diwkio zh jdg uw vawhipdre vsdiydh yhx ifr wj jfusr yj ciji pdjzfapj xhiu vwi lko mu pucqtfyhi ii yvxhajcreku kpyfqzfzue ckd lyqr ws lapr ffyh yktb dawp ukdiarpeih j zhvicr uwsasuyhe ysr xrrsco edozere ah idsszhn dh sueiyqskhfj gip rgklscu ag pujaihxrhfe zh nuscyhd facx ffr aaccjirs ifuo fdazvktco idsaue ktcaji ffu jylr yj ifr wj zh ifu qx jfusr kh iaizahkt eusozvr tfypku ag kmawi ze wjwytto dhvcwxre jyze ffud trbi k kpkfwdio fyu bdnqpu zh jsydh uyupr jrpodtu ze igirh zhvtqerx zh pueikwpkhi mdtte vwi edhupj tkh tryou iafzahkc fdse jye uyzcu dh gskhvr jyusu upuso aszvr ih y suefkqpyhi cuhq kcsukxd zhvtqeue gas juspzvu ib araatr jkde ffuo krhupkcto fzsaue ah faa uorh dh jureuh ufrpu idse ypr nuhupyctd hii rgsrtire ifu gznqpu jye mqi ihcd ag zikcdkhj jyde ifuo jawcx fosdvktcd cuypu y nsyfqdfd ybiup k crkc aqf udiy y syiyrs nsukfus spiaisidah yxcziidhn ffud hroup cugi k tuhf k eikpfczhn ag srjsahxrhie dh ifr qj yauuous yhe ab nuslkhe vd gys iyu cijf dh rwpasu tihgreeue ifud jiqcx iza jalrfdcue as abirh uouh zb iyr jrpoztr ukj fuspzvcu zhxzvyidhn ffyi gip jicr fzaazhn dj hif yviwf wqytzfo ib jrsoztr ki kct fyr gzhezhne ib fyu jwsprd jdtc vilr kj y ewpapdju dh krscyhd k vawhfpo ifki eire hai krhrpyctd ifzhx ab zfjucb ye k hyidih ag yksad edjfpzvwiapj ig ipzhqnutx ffr uipe zh y edlztys ordh ia aiwsmazpu zh gsrhvf crkhj xszhxzhn cahud his de nuplkhd k vawhfso jyijr eupozvu jfkgb ksu aypiztwtksto vwjiicrs bszrhetd dh vrsczh y ktkje ab vurs ap k ackfu ag baax dj abirh juspue zh k yqgg pyifup fyyh jdff k jcdcr hif gip hifyzhn ze euppzvrj eir xrwietftkhe kuslkho ze y jrsodtr xueupf k fydhk drf ffu xkiy sugcutij k ttukp ipuhx nrscyhj frhx ii fkhx ious k guu rgipy tazhe zspuesutidpu ib fau ffud yyou mrrh isrkfre ffud ypr ifr hyizah dh uwsiau tryef tzqutd ii hif ida uprh bis aiap jrppztr khe fyr lajf jzcczhk ii ako unfpk bap yorsknr erpozvr k vihidhwzhn gahxhrjj gas vyef lyo vu y bktfip udiy cyhd fknz esdorsj khe mype jfzcc srbwjzhk akolrhi mo typx k npauzhn yuksrhrjj ag tymaqp jfisfynrj dh iyr tkirsdhk juviis viwce ktji ugstydh y vfkhkr zh yffdiqxu uzff cyhd vysj yhx tkbuj rorh dh vzk vdfdre srxqtzhn fyrzp aauhdhn fiwse xqu ia y saji syhxrcdt cytq ib efkgg eacr mksqrrarsj jko fyuzs twefilupe fypr prtrhicd vuvalu lisr krhupiwj izaarpj mwi db kusckh fzsazhk fkvzij euul zhnpyzhrx ffuo ysr\n",
      "Not updating anymore after iteration 55\n",
      "Iter 0 of start 1: lo psaukjv lf sssus ft gw vewfbv uzgm kzftqkblg easbfr qlnm dhh fms faqs aj qedjns kom sedlj lf dhc mwvsjry vawszukkcr tj sngadh slkfhwblwy bykb vtl mdfw fn gw zesjny ne svdjaym bt zorseyfkjm ao lfdcr xyr xtzcr vtz sfsj knbmse xywj djm mtx qlnm fn bae ay k dzwsbano bmdf yky gwsj hwulop flylbnay bn slatvw zta ky hnjp ks ewnehw ydhw gwso bakhshhajp katljm bys gtofaowjf tzfylrw bywaa txo gtljbar lb sswqs whwj sletvskoy mtj b jjtx fms kjsxsa dggnemajp bn jsx enchajp gr vtlpth ao ylu wz ntljbalws kelfdlo kor bms zs xysaw ky qtsf flyabtey ionx gzb qkv gw escznfkof fn kgjonxhwmpw pakbzlfass qdv qkjs le qtes fmko mdhq vtle xdlfvwaytj y ljnnqw slanewdos dew mswehr maflmwr nj flvvajp lj esyfkzakjfy qne siduvhs tq esyenorsjby lo pwaqkjr btcr bys ethhsfsa fmwv fvelnkccr blvvsm kcqnyb bms sdqw dy byw ls lo bys zi xmwew do neblnjkh ssaflgs nydapw nq kktzb ls lszkchr logczmwr ykam fmsr hwqb k pekblabv bms zlplew ao yekao xmwes ssahlgw ay nqfwj ajnhzmwm ao ewyfkzakjf kahcs klb mlosas gdj hsdhs nvfltjdc blvs xks xmahs lo qekogs xmsas whser eelnw no d esybkladjf qwoz dcewdrr ljnczrsy qna ysaflgs tz vstvhw ydlm bmwv psowakhcr fleesm to ftv sfsj lo sxsmso xywaw baes daw psjwadchr onb siewnbsr byw qlplew xdy gzb njcv nz lfkhlkoy yklr fysv xtlcm frelndccv cwdfw k padbzlbr kzbwa d qsdh tzf xafm d akfmse pewkbwa venetefltj kmulbfaop bmwr jwfwe hwzf d gwob k ybkafhljp tz awyenorwoby lj fmw zs mnxwhwa kom nq psaudoy kr qde fmw qnsf lj wletvs nnoqwsysm bysr xtlhm bae snqwfluws te tzfso shso az byw ysehlgw xky fseelgcw aomlndbajp fykb zta ytuw baevajp ay jtf kgnlb dldcabr tz ysafanw db khh fys zlomajps nq bys slahsr xlhc ntuw dy k sleeaass lo pweudor k nnzofer bykf rnsy onf psowadchv fyljj tz lbswhq ds d jkflto nz mdvvr maybeaklftas nz feajipwcm fyw xtem lo d yauahde fsaj fn etzeknaaw lo zasony qskos maaojlop qtjsr ona ly pseudov d gtlobar xytss ywefans sfkqq das vkafaglhkehv gzybnuse qeasorhv lo kseclo d pcksy nq gsse na d vcdbs tz znnr ly nqfwo ysafwr aj k ylqz adfywa fykj xlfm k yuahs jtb zne otfyajp as ysahansx yfs rszfygmckjr psaudor ly d ssehlgw mwsseb d fylop rwb fms mkfd awqcsgfy k nhwka fesjr psaqkos fsor bt mdjm thwa d qwx subak nnajs leasyewgbafw nq ynx fysr mkfw gwso baskbwr fmsr das bys jdflto lo szanvw cskyf caiscv fn otb fle shsj qta vnna ywahlgs kjm bms utyb xlhcaop fn edr sibad zna khsakps yweflnw k gnjbljlaop ztjrossy qne nksy udr ks k qkgfta xlfy qdor fdua relhwas dom kkay sfahh ewzlyljp edrqwob kv gkem k patxljp dxkawjwsy tz hdknla ymnefkpwy ao bmw ndbselop ssnbta gtzcm kcst wuvcklj d nmdopw lo dfbaflmw xlfy ukov kdes kor nkqwy whso aj gap nlblws asrznajp bywaa nesoaop mtley mls ft k etsb edjrwqag ckni tq ybkqq snus kdaiwsesey ykv bywla nzsftqway mkfw esgwobhr kwgnqw qnew pwjsanzy bavvsey gzb aq pweqko flevajp mkgafs ywsu ajpedljsr fywv kes\n",
      "Iter 0 of start 2: zl yqpdnxb zt qqqdq tv hi boitrb dmhu nmtvanrzh opqrtf azwu sjj tuq tpaq px aosxwq nlu qoszx zt sje uibqxfc bpiqmdnnef vx qwhpsj qzntjirzic rcnr bvz usti tw hi moqxwc wo qbsxpcu rv mlfqoctnxu pl ztsef kcf kvmef bvm qtqx nwruqo kcix sxu uvk azwu tw rpo pc n smiqrpwl rust cnc hiqx jidzly tzczrwpc rw qzpvbi mvp nc jwxy nq oiwoji csji hiql rpnjqjjpxy npvzxu rcq hvltplixt vmtczfi rcipp vkl hvzxrpf zr qqiaq ijix qzovbqnlc uvx r xxvk tuq nxqkqp shhwoupxy rw xqk owejpxy hf bvzyvj pl czd im wvzxrpziq noztszl nlf ruq mq kcqpi nc avqt tzcprvoc glwk hmr anb hi oqemwtnlt tw nhxlwkjiuyi ypnrmztpqq asb anxq zo avoq tunl usja bvzo ksztbipcvx c zxwwai qzpwoislq soi uqiojf uptzuif wx tzbbpxy zx oqctnmpnxtc awo qgsdbjq va oqcowlfqxrc zl yipanxf rvef rcq ovjjqtqp tuib tbozwneef rzbbqu neawcr ruq qsai sc rci zq zl rcq mg kuioi sl worzwxnj qqptzhq wcspyi wa nnvmr zq zqmnejf zlhemuif cnpu tuqf jiar n yonrzprb ruq mzyzoi pl conpl kuioq qqpjzhi pc watix pxwjmuiu pl oictnmpnxt npjeq nzr uzlqpq hsx jqsjq wbtzvxse rzbq knq kupjq zl aonlhq kuqpq ijqof oozwi wl s oqcrnzpsxt ailm seoisff zxwemfqc awp cqptzhq vm bqvbji cszu ruib yqlipnjef tzooqu vl tvb qtqx zl qkquql kcipi rpoq spi yqxipsejf lwr qgoiwrqf rci azyzoi ksc hmr wxeb wm ztnjznlc cnzf tcqb kvzeu tfozwseeb eisti n ypsrmzrf nmrip s aqsj vmt kptu s pntuqo yoinrip bowovotzvx nudzrtply ruif xitio jimt s hilr n crnptjzxy vm picowlfilrc zx tui mq uwkijip nlu wa yqpdslc nf aso tui awqt zx izovbq wwlaiqcqu rcqf kvzju rpo qwaitzdiq vo vmtql qjql pm rci cqojzhi knc tqoozhei pluzwsrpxy tcnr mvp cvdi rpobpxy pc xvt nhwzr szseprf vm cqptpwi sr njj tcq mzlupxyq wa rcq qzpjqf kzje wvdi sc n qzooppqq zl yiodslf n wwmltof rcnt fwqc lwt yqlipsejb tczxx vm zrqija sq s xntzvl wm usbbf upcropnztvpq wm topxgyieu tci kvou zl s cpdpjso tqpx tw ovmonwppi zl mpqlwc aqnlq upplxzly avxqf lwp zc yqodslb s hvzlrpf kcvqq ciotpwq qtnaa spq bnptphzjnojb hmcrwdqo aopqlfjb zl nqoezl s yenqc wa hqqo wp s besrq vm mwwf zc watil cqptif px n czam pstcip tcnx kztu n cdpjq xvr mwo lvtcpxy pq cqpjpwqk ctq fqmtchuenxf yqpdslf zc s qqojzhi uiqqor s tczly fir tuq unts piaeqhtc n wjinp toqxf yqpanlq tqlf rv usxu vjip s aik qdrpn wwpxq zopqcoihrpti wa cwk tcqf unti hiql rpqnrif tuqf spq rcq xstzvl zl qmpwbi eqnct epgqeb tw lvr tzo qjqx avp bwwp cipjzhq nxu ruq dvcr kzjeply tw osf qgrps mwp njqpnyq ciotzwi n hwxrzxzply mvxflqqc awo wnqc dsf nq n anhtvp kztc aslf tsdp fozjipq slu nnpc qtpjj oimzczxy osfailr nb hnou n ypvkzxy sknpixiqc vm jsnwzp cuwotnyic pl rui wsrqozly qqwrvp hvmeu neqv idbenzx s wuslyi zl strptzui kztc dnlb nsoq nlf wnaic ijql px hpy wzrziq pqfmwpxy rcipp woqlply uvzoc uzq tv n ovqr osxfiaph enwg va crnaa qwdq nspgiqoqoc cnb rcizp wmqtvaipc unti oqhilrjf nihwai awoi yixqpwmc rpbbqoc hmr pa yioanl tzobpxy unhptq ciqd pxyoszxqf tcib noq\n",
      "Iter 0 of start 3: cs ygfwmqv cj gggwg jd hb vebjxv wuhr mujdtmxch efgxji tclr pkk jrg jftg fq tepqlg msr gepcq cj pkz rbvgqin vfbguwmmzi dq glhfpk gcmjkbxcbn xnmx vdc rpjb jl hb uegqln le gvpqfnr xd usigenjmqr fs cjpzi ani aduzi vdu gjgq mlxrge anbq pqr rda tclr jl xfe fn m pubgxfls xrpj nmn hbgq kbwcsy jcncxlfn xl gcfdvb udf mn klqy mg eblekb npkb hbgs xfmkgkkfqy mfdcqr xng hdsjfsbqj dujncib xnbff das hdcqxfi cx ggbtg bkbq gcedvgmsn rdq x qqda jrg mqgagf phhlerfqy xl qga elzkfqy hi vdcydk fs ncw bu ldcqxfcbg mecjpcs msi xrg ug angfb mn tdgj jcnfxden osla hux tmv hb egzuljmsj jl mhqslakbryb yfmxucjfgg tpv tmqg ce tdeg jrms rpkt vdce apcjvbfndq n cqlltb gcflebpsg peb rgbeki rfjcrbi lq jcvvfqy cq egnjmufmqjn tle gopwvkg dt egnelsigqxn cs ybftmqi xdzi xng edkkgjgf jrbv jveclmzzi xcvvgr mztlnx xrg gptb pn xnb cg cs xng uo arbeb ps lexclqmk ggfjchg lnpfyb lt mmdux cg cgumzki cshzurbi nmfr jrgi kbtx m yemxcfxv xrg ucyceb fs nemfs arbeg ggfkchb fn ltjbq fqlkurbr fs ebnjmufmqj mfkzg mcx rcsgfg hpq kgpkg lvjcdqpz xcvg amg arfkg cs temshg argfg bkgei eeclb ls p egnxmcfpqj tbsu pzebpii cqlzuign tlf ngfjchg du vgdvkb npcr xrbv ygsbfmkzi jceegr ds jdv gjgq cs gagrgs anbfb xfeg pfb ygqbfpzki slx goeblxgi xnb tcyceb apn hux lqzv lu cjmkcmsn nmci jngv adczr jieclpzzv zbpjb m yfpxucxi muxbf p tgpk duj afjr p fmjrge yebmxbf veledejcdq mrwcxjfsy xrbi qbjbe kbuj p hbsx m nxmfjkcqy du fbnelsibsxn cq jrb ug rlabkbf msr lt ygfwpsn mi tpe jrb tlgj cq bcedvg llstbgngr xngi adckr xfe gltbjcwbg de dujgs gkgs fu xnb ngekchb amn jgeechzb fsrclpxfqy jnmx udf ndwb xfevfqy fn qdj mhlcx pcpzfxi du ngfjflb px mkk jng ucsrfqyg lt xng gcfkgi ackz ldwb pn m gceeffgg cs ybewpsi m llusjei xnmj ilgn slj ygsbfpzkv jncqq du cxgbkt pg p qmjcds lu rpvvi rfnxefmcjdfg lu jefqoybzr jnb ader cs p nfwfkpe jgfq jl eduemlffb cs ufgsln tgmsg rffsqcsy tdqgi slf cn ygewpsv p hdcsxfi andgg nbejflg gjmtt pfg vmfjfhckmekv hunxlwge tefgsikv cs mgezcs p yzmgn lt hgge lf p vzpxg du ulli cn ltjbs ngfjbi fq m nctu fpjnbf jnmq acjr m nwfkg qdx ule sdjnfqy fg ngfkflga njg igujnhrzmqi ygfwpsi cn p ggekchb rbggex p jncsy ibx jrg rmjp fbtzghjn m lkbmf jegqi ygftmsg jgsi xd rpqr dkbf p tba gwxfm llfqg cefgnebhxfjb lt nla jngi rmjb hbgs xfgmxbi jrgi pfg xng qpjcds cs guflvb zgmnj zfogzv jl sdx jce gkgq tdf vllf nbfkchg mqr xrg wdnx ackzfsy jl epi goxfp ulf mkgfmyg nbejclb m hlqxcqcfsy udqisggn tle lmgn wpi mg m tmhjdf acjn tpsi jpwf ieckbfg psr mmfn gjfkk ebucncqy epitbsx mv hmer m yfdacqy pamfbqbgn du kpmlcf nrlejmybn fs xrb lpxgecsy gglxdf hduzr mzgd bwvzmcq p lrpsyb cs pjxfjcrb acjn wmsv mpeg msi lmtbn bkgs fq hfy lcxcbg fgiulfqy xnbff legsfsy rdcen rcg jd m edgx epqibtfh zmlo dt nxmtt glwg mpfobgegen nmv xnbcf lugjdtbfn rmjb eghbsxki mbhltb tleb ybqgflun xfvvgen hux ft ybetms jcevfqy rmhfjg nbgw fqyepcqgi jnbv meg\n",
      "Not updating anymore after iteration 44\n",
      "Iter 0 of start 1: bl azfnhyc br pwwvk rg gw swzjrq nxke hxjuvhjbj yfzjjq nxkf hii jfw jonz oy nwhyjz llq kyhby oj hix qzywyqk swwkxvlmic ul pgjohx kemrxzjbzk relr que fhaw rg gz nwzyjf gf pyhlbpf jg elqzwkjlld bl ojliq beq buxiq cge wazy mujeww rfwl lyq eub neje rg rbs ok h pewpjogl jelj flp gzzy azublt topojuwp ru wefusw ngf lk xuyt lk yzgyxz flaz gzwy rwhawiibla lfuxlq rew kuyjblwlr gxjkodw rfwbw gbl juxlrfq oj kzwvp ztwl wewgszllp duy j hlgb rfw hypbww lkjuwdolt ru lzb sgxxola mc quxtua bl kbu wx kueyrfbzp gfbrlby hyd jew xk bfzfw hk ngkj aokojufk syub gej vhq mw wwxxjrhyj ru hkhlgrxwqtz tfhjeorbzk vlq nlsz ey vuwz jehy fhxo cuxw blorswfpul k bykuvz wxwuszhyp lwz dzwyic dbabdzd gl rbssblt by fzkrhxwlyjp ouw wdlnsiz go fzpyglqwljp bl twfvlyc jgid rfz sgixpjzw rezc rqsokhiiq joyswd livupj jew phvw hk rfz xp oy jfz eh rezfz ll usrbuylx kwfaokw jfhwtz gn hmuxj ok xkxhxiq oykxxqwq phoq jfzc xwnr l awhrebrq jfz nbaxfz by kyhoy bfwfw kwftbjz op uojwl oyjixqzd bl fzkjlewhlj goixp ger dblwwp jhy izhtz uyrbulhx rosk bhk beoiw oy nfhlkw bezfw wawwc yfbjw gl l fwprlefllj vzyx lxwzhqq bykixdwk ngf kwwabkw gn szgsiz phoq rewc tzlzfliic josyzd gy rus wazl ol przqwy rfzwz jbyk lww twywflxiq ygj zuyzjjzq rew ootxfz bhk mer ulic uo bjliollp klbd jfwc ruxxd rcyoklxxc izltw h afhrebjq hojzf l vwhi uej roje h fhrezf afzlrww ywusgfjogy hqnbrrolt jewc lztwf iwoj h jwlj l krhfjxoyt uo wwkygyqzyjk oy rfw ep fgrwaww llq uo awfvlyk gq olf jfz vgkr ol zewgyz kgynwkpwd jfwq bueid jos kgnwrovzp gw unrwl wtzl bo jew pwwtbkz rhk jzwwomxz oldojljblt jfhr ngw kgvw josyolt bp lur hggxr pxlxbrq gn pwwabkz hj lxx jfw nblqbltp go jfz pefazc boii juvz lp h pxfsfbkw by awwvhlq l kueyjwq rfhr qgzp ygr twywwlixq jfoyh un bjpzxn lk h lhjbul un flyyq dokjfomxrgwp un rwolhazxq rez rgfq oy l ponbilf azbl jg yuxfggbww bl nwwyke vzlyp dfbysoyt nulzq yuw ok tzwnllc l kgelrwc bfgpz kwwaokz prlon hwz yhwjbkxxhfxq jeprgvww ofbzlqxc ol gwfibl l tihkp un gzzw uw l yxhjz un ouuq ok unrwl pwwtwd bl l eeno fljezw rehl bbre l kvbxw yuj ogw lgjfblt bp pwwaojzb kjz dzxrpjexhyd awwnhlc ok h pwftbkw qzkzwr l rfola qzj rez qhrl fwnxzkjk l jizlw rfwyd awwnlyk rwld rg ehlq gtww h ozb wujwh kuoyk bwwwpywjrbtw uo eur jfzq fhaw mzzl jfzljzq rfwq lfw rfz yhrouy oy zxwusw xwlpr xbswxq jg yur joy ztwy ouf suuw pwwaokz hyq rfw ngkj bbiibya ru yhq wurfh ogw htzflaz pzwtokz l kuyrblebyt ngldlzpk ouf jhkf vlc mz h oljjuw rbje vhyq jluo qfotwwk llq glfp pjbix wwoxpolt shcnwyj gq jlfd l afgrbya hbhfwlzpk gn xlggef kfgwrhtwp bl rfz jljzwbla pwjrgw kgxid hxpu zuyxlby l kehlaz bl lrrojedz bbjf nlyq mlwp lld jhnzp ztzy by mba kbjbwp fzqxjoya jezbw uswyolt egefp qxw rg l supj slldwnbj iljh gn kjhoo kuvz glfszwyzwk phc rfzof jxkjuvzwp elaz wzkwyrxc gwjgvw ngfw twywfgek jbsswfk mej bn tzfnhy joysoyt fhgorp pzzn bltflolzd jezc hwz\n",
      "Iter 0 of start 2: fj yusmdkp fb zaail bv va xautbr mclw dctnidtft ksuttr mcls dqq tsa tgmu gk madktu jjr lkdfk gt dqc rukakrl xaalcijeqp nj zvtgdc lwebcutful bwjb rnw sdya bv vu maukts vs zkdjfzs tv wjrualtjjo fj gtjqr fwr fncqr pvw ayuk entwaa bsaj jkr wnf mwtw bv bfx gl d zwaztgvj twjt sjz vuuk yunfjh hgzgtnaz bn awsnxa mvs jl cnkh jl kuvkcu sjyu vuak badyaqqfjy jsncjr bwa lnktfjajb vctlgoa bsafa vfj tncjbsr gt luaiz uhaj awavxujjz onk t djvf bsa dkzfaa jltnaogjh bn juf xvccgjy ep rnchny fj lfn ac lnwkbsfuz vsfbjfk dko twa cl fsusa dl mvlt yglgtnsl xknf vwt idr ea aacctbdkt bn dldjvbcarhu hsdtwgbful ijr mjxu wk inau twdk sdcg pnca fjgbxasznj l fklniu acanxudkz jau ouakqp ofyfouo vj bfxxfjh fk sulbdcajktz gna aojmxqu vg suzkvjrajtz fj hasijkp tvqo bsu xvqcztua bwup brxgldqqr tgkxao jqinzt twa zdia dl bsu cz gk tsu wd bwusu jj nxbfnkjc lasygla tsdahu vm denct gl clcdcqr gklccrar zdgr tsup camb j yadbwfbr tsu mfycsu fk lkdgk fsasa lashftu gz ngtaj gktqcruo fj sultjwadjt vgqcz vwb ofjaaz tdk qudhu nkbfnjdc bgxl fdl fwgqa gk msdjla fwusa ayaap ksfta vj j sazbjwsjjt iukc jcaudrr fklqcoal mvs laayfla vm xuvxqu zdgr bwap hujusjqqp tgxkuo vk bnx ayuj gj zburak bsuau tfkl jaa hakasjcqr kvt unkuttur bwa gghcsu fdl ewb njqp ng ftjqgjjz ljfo tsap bncco bpkgljccp qujha d ysdbwftr dgtus j iadq nwt bgtw d sdbwus ysujbaa kanxvstgvk drmfbbgjh twap juhas qagt d tajt j lbdstcgkh ng aalkvkruktl gk bsa wz svbayaa jjr ng yasijkl vr gjs tsu ivlb gj uwavku lvkmalzao tsar fnwqo tgx lvmabgiuz va nmbaj ahuj fg twa zaahflu bdl tuaagecu gjogtjtfjh tsdb mva lvia tgxkgjh fz jnb dvvcb zcjcfbr vm zaayflu dt jcc tsa mfjrfjhz vg tsu zwsyup fgqq tniu jz d zcsxsfla fk yaaidjr j lnwktar bsdb rvuz kvb hakaajqcr tsgkd nm ftzucm jl d jdtfnj nm sjkkr ogltsgecbvaz nm bagjdyucr bwu bvsr gk j zgmfqjs yufj tv kncsvvfaa fj maaklw iujkz osfkxgkh mnjur kna gl huamjjp j lvwjbap fsvzu laayglu zbjgm dau kdatflccdscr twzbviaa gsfujrcp gj vasqfj j hqdlz nm vuua na j kcdtu nm gnnr gl nmbaj zaahao fj j wwmg sjtwua bwdj ffbw j lifca knt gva jvtsfjh fz zaaygtuf ltu oucbztwcdko yaamdjp gl d zashfla ruluab j bsgjy rut bwu rdbj samcultl j tquja bsako yaamjkl bajo bv wdjr vhaa d guf antad lngkl faaazkatbfha ng wnb tsur sdya euuj tsujtur bsar jsa bsu kdbgnk gk ucanxa cajzb cfxacr tv knb tgk uhak gns xnna zaayglu dkr bsa mvlt ffqqfky bn kdr anbsd gva dhusjyu zuahglu j lnkbfjwfkh mvjojuzl gns tdls ijp eu d gjttna bftw idkr tjng rsghaal jjr vjsz ztfqc aagczgjh xdpmakt vr tjso j ysvbfky dfdsajuzl vm cjvvws lsvabdhaz fj bsu tjtuafjy zatbva lvcqo dczn unkcjfk j lwdjyu fj jbbgtwou ffts mjkr ejaz jjo tdmuz uhuk fk efy lftfaz surctgky twufa nxakgjh wvwsz rca bv j xnzt xjjoamft qjtd vm ltdgg lniu vjsxuakual zdp bsugs tcltniuaz wjyu aulakbcp vatvia mvsa hakasvwl tfxxasl ewt fm husmdk tgkxgkh sdvgbz zuum fjhsjgjuo twup dau\n",
      "Iter 0 of start 3: od gbimtpy of ueeqh fn ne sebvfz mrhx trvjqtvov pibvvz mrhi tcc vie vlmb lp metpvb ddz hptop lv tcr zbpepzh seehrqdwcy jd unvltr hxwfrbvobh fxdf zjx itge fn nb mebpvi ni uptdoui vn xdzbehvdda od lvdcz oxz ojrcz ynx egbp wjvxee fied dpz xjo mxvx fn fos lh t uxeuvlnd vxdv idu nbbp gbjodk klulvjeu fj exijse mni dh rjpk dh pbnprb idgb nbep fetgeccodg dijrdz fxe hjpvodedf nrvhlae fieoe nod vjrdfiz lv hbequ bked exensbddu ajp v tdno fie tpuoee dhvjealdk fj dbo snrrldg wy zjrkjg od hoj er hjxpfiobu niofdop tpa vxe rh oibie th mnhv glhlvjih spjo nxv qtz we eerrvftpv fj thtdnfrezkb kitvxlfobh qdz mdsb xp qjeb vxtp itrl yjre odlfseiujd h ophjqb erejsbtpu deb abepcy aogoaba nd fossodk op ibhftredpvu lje eadmscb nl ibupndzedvu od keiqdpy vnca fib sncruvbe fxby fzslhtccz vlpsea dcqjuv vxe utqe th fib ru lp vib xt fxbib dd jsfojpdr heiglhe vitekb nm twjrv lh rhrtrcz lphrrzez utlz viby remf d getfxofz vib mogrib op hptlp oieie heikovb lu jlved lpvcrzba od ibhvdxetdv nlcru nxf aodeeu vtp cbtkb jpfojdtr flsh oth oxlce lp mitdhe oxbie egeey piove nd d ieufdxiddv qbpr drebtzz ophcraeh mni heegohe nm sbnscb utlz fxey kbdbidccy vlspba np fjs egbd ld ufbzep fibeb voph dee kepeidrcz pnv bjpbvvbz fxe llkrib oth wxf jdcy jl ovdclddu hdoa viey fjrra fyplhdrry cbdke t gitfxovz tlvbi d qetc jxv flvx t itfxbi gibdfee pejsnivlnp tzmoffldk vxey dbkei celv t vedv d hftivrlpk jl eehpnpzbpvh lp fie xu infegee ddz jl geiqdph nz ldi vib qnhf ld bxenpb hnpmehuea viez ojxca vls hnmeflqbu ne jmfed ekbd ol vxe ueekohb fth vbeelwrb ldalvdvodk vitf mne hnqe vlspldk ou djf tnnrf urdrofz nm ueegohb tv drr vie modzodku nl vib uxigby olcc vjqb du t urisiohe op geeqtdz d hjxpvez fitf znbu pnf kepeedcrz vilpt jm ovubrm dh t dtvojd jm idppz alhvilwrfneu jm feldtgbrz fxb fniz lp d ulmocdi gbod vn pjrinnoee od meephx qbdpu aiopslpk mjdbz pje lh kbemddy d hnxdfey oinub heeglhb ufdlm teb ptevohrrtirz vxufnqee liobdzry ld neicod d kcthu jm nbbe je d prtvb jm ljjz lh jmfed ueekea od d xxml idvxbe fxtd oofx d hqore pjv lne dnviodk ou ueeglvbo hvb abrfuvxrtpa geemtdy lh t ueikohe zbhbef d fildg zbv fxb ztfd iemrbhvh d vcbde fiepa geemdph feda fn xtdz nkee t lbo ejvet hjlph oeeeupevfoke jl xjf vibz itge wbbd vibdvbz fiez die fib ptfljp lp brejse reduf roserz vn pjf vlp bkep lji sjje ueeglhb tpz fie mnhv ooccopg fj ptz ejfit lne tkbidgb ubeklhb d hjpfodxopk mndadbuh lji vthi qdy wb t ldvvje fovx qtpz vdjl zilkeeh ddz ndiu uvocr eelruldk stymepv nz vdia d ginfopg totiedbuh nm rdnnxi hineftkeu od fib vdvbeodg uevfne hnrca truj bjprdop d hxtdgb od dfflvxab oovi mdpz wdeu dda vtmbu bkbp op wog hovoeu ibzrvlpg vxboe jsepldk xnxiu zre fn d sjuv sddaemov cdvt nm hvtll hjqb ndisbepbeh uty fibli vrhvjqbeu xdgb ebhepfry nevnqe mnie kepeinxh vosseih wxv om kbimtp vlpslpk itnlfu ubbm odkidldba vxby teb\n",
      "Not updating anymore after iteration 45\n",
      "Iter 0 of start 1: yj dnemajo yv cnomq va ln senxxo ggyi awvambxyp qeovvo mgpi asu vin xygn yx jeajpn bxz qqbbx yv bsu woqoxzq senqgmamuf ax qaybbu qwmvsnxyoq xibx ouw iahn vu lo jeoxyi ue qqajbci va wxzoeqvajw yj yxasf pio puwuz oaw ndnx muxioe piox ajw iuz mgyi xu vbq bq a vwnqvyux xiax ibc monx hncbjf dyqyxuec vu oweaqo jae aq suxf ac qnuquo ibdn monj veahossbjd aeawxw vin yaxvyxnjv agvqbzo vioye azx yugxveo bx cnnmq odox nweasnajc wuj v nxap vio axqpoe aypaezyxf va xoz quuubjf lo fagdud yj qyc nw puwxxeboc lebvbbj bjw vio gq pinen aq gacx hbqbvuec nxap lwx gbf lo eosgpvaxv xa bpnjuzuowdn febxwbvyoc mbf mann wq mueo xibj ibsr fuwe pbbxsnecuj c bxyagn oweuqnaxc aen zoosuo zbdbwnz aj vyssbjf yj eocxbwebjvc jae ocbgsso uj enqsaxzojvc bj doegajf xauw xio sasuqvne xiof xfqbyauso vyqqnz auguqv vio qbgn bq xin wc bx vio gn pineo bj asvbajbs cnehbpo pibedo uj alugx yq wqwasuo bjysgwow cbbz xinf unrv b feaxgyxo xio jbdgen yx qqayj zinen qoehypn yq ajvox yjpugzow bx eocxagebxx lbusq mwx wyxoeq pbx uobho usxbuxbu vbqq pac piyun yj rebxpn pioen odoeo qebpn ax a eocvbwebjx gnxw auenbwf bxpsgwnq rue qnedypn ur soaquo cayw xiof dnjoeasso vbqqnw ax xas odox bj qpnznx pineo xbqc ben fnxoeauuo jux orqnyxnw xio rydgeo zbc mgx ajsf ur bxbsybjc qbyz xinf paguw vosyyauuo uobdo b febvwyvf brvoe b mnbs awv pbvi a ebvine fenbvne qeaqaevbax azgyvvbxd vioo johoe snjv a ynjx b qvbevsyjd aj eocquxwoxxq bj vin gc iapnhoe bxw uj doegbxq lo jae xin gucx yx ngeaqo yajjnqcnz vioo zuwuw xbq qumovbmnq ue ujvnj ndnj br xin qnehbpn paq voeeblso yxwbpbxyjf xibv jae qagn vyqsyxf yq jav blugx tgasbvo uj cnehbpn bx bsu vio ryjwbxfq ur vin cwehof zbss yumn aq b cgeqeyco bx doemajf a pawxvef xiav wunc xav fojoebuuo xiyjn ar yvqouj bq a jaxyuj ur ibsqf zbcvebmgvaeq uj xebxnfnuz xio zaez bx a cbgbube hnyj xa sugeluben yj jenjyi mnaxq webjnyjd guxno jae yq foegbxf b pugxxeo ziaqn cnehbpn qvbjj aeo qbexyygubeuf pwqxamoe jeboxwuf bj mneuyj a duacc ur mnoe ae b qsavo ur raaz bc arvoj qoehow yj a igjr eavioe xibj zbvi a qgbso xux rae xaviyjf bc qnedbynz qvn zngvqyiuaxw fnembjf bq b cnedbpo zoqoev a viyxd fov vin wavb eojunyxq b yuobe veoxw dnembjq xoxw xa ibjw udne b jnp orveb yabxc beeoqsnyxbhn ur iaz xinf iadn mooj venbvnz vioo beo xin javbaj bj oweuso snbcv syknuf xa jux vbq nhnj jae quue qnehyyn bxz xio macv pbuubxf xa qaf ocxeb rue bdneafo coehbyo a puxvyxgyxf jajzjocq rue paci mao mn b japxue zbvi gaxf vbcy zebhoeq bjw laeq qvysu eojgqyjd qbognxv mo pbew a deupbxd bzbeoxncq ar sbmage ciuevafnq yj xio yaxoeyjf copvue yuwuz aucu ncqsbbx b yibjdo bj bvvbvgwo pbxi maxo lbeq ajz pbjoc ndoj bj mbf ybxyoq eowgpbjd xinye asnxyjf iugec wgo va b qucv sajwnmyy uapk ur cxarr qugo lbenonsoeq caf vioye ywqvugoeq ibdn eoyojxuo lnpumn guen dojoeawc xbssneq mwx yr doemaj xyqqbxf iblbvc qnnm yjdeabjnz viof aeo juv bupafc umqnednz bwwbxd bc a fnxoeasuo bpynqxnw egso lgv jav aupaoq jauuupnw guqv pgqvugnec qbf mn nrvea cayw goimov zudax a moesyj xbry zeyhoe mgv vin ewso wancj x bssso vu suxfne huwejnfc b wax x vibjn b iahn moox fydnj b vbq bx oobeq ur zayjf go kum yr qamoaxo qsyqqnw mn b rydne b z acqwgn viof mbwo b mbcvbno gbxxinp cmyvi oawdud c ioaz ur wavb hugexasbqg qayz cagn mbf lo cweqebqoz mf vin eodoubvyax vibv foemajc ben hgqv ac sbnouf bq agnebybjc vu vys qnehbpn puenneq jav unacx mnpawqo qoedbyn avvyxwzoc bx fnembxo iadn seohyawqso lnnj qa maz viav xio fuhnexgojv rnuv vio xonw vu bwzeocc yv lnjaeo vio yuwxveo iacxnz vin zuesz pgs yj yvaso xblbaxa xbpauuqb piu gaxbfnq vwbebju a mae axz encvbgeaxx bx pnjvebu eamo cbbz vio yugjveo cbgssf zuocx x iado b pwsvgeo jae vyssyjd zn en xux syko amoebpaxq ae vin mebvbqi po myfix wu yx aypaqyuxassf mgx yv c xav qumnviyxd xiax yc ocqnyxnw yx yc eaen xa coo b xbq lac mo vio xysu bx a mae ae encxawebxx bx bvbuo pyvi qumn upxneq zoogyjd qwyi b wyqssbf wxmnyugyjf bjqvoaz viof asqenpyavn vio saobuvf ar enfwsae psbojvnsn ziu gaf apyaqbujassf unaho b ubxxso nrxeb brxoe xioye webjn ue gnas bx eoyudxyvyuj ar vwasyxf bjw qoedypo ebvine viax uwx ur ulsydbvbax gaxo yxasybjq iapndoe uobhn xio piajdo arvoe qaoyxf b mbsu yj a yujron puqxq yoxvq xiox a pgqxagne pbuu wqwbuuf fbho ajw sov wq kons vin yibxdn qbyz eyypbezu yujxb b payxoe yx eumn rue cugo pgqvugoeq soadbxf xio qgbuu yiajfn yc qbgsuo a gaxvoe ar xux zbxxbxf xa iaxf aeagxw io bzwnw soeqajbsso pajxb cabz io mgpnc vio veoxz ar jax xbsqbjf bxbuybxq b buzaoc snbdo a xys gbyxso bx maeq bjz encxbweaxxq io cbyw bwzyjd bx zac doeo cwlhoyxyhn yx ass zoqoxzc ax xio bjzydywgas bv q a foqvgen oug mbfiv cnn muen reag qouqun yx xin qugvi pia beo doxoebsso gaen pbem ajw fnjoeawq vibj bx xio xaevi enjneoxyn fnegaxc lnqv xbqqneq yx oweuqn jbjwc sauu bvasyaxq jux cu gwyi xio dwaezybj qbv hwxo\n",
      "Iter 0 of start 2: om qivjuml oz giljr zu ai hviyyl xxob utzujcyoe rvlzzl jxeb uhs zbi yoxi oy mvumei cyw rrccy oz chs tlrlywr hvirxjujsk uy ruoccs rtjzhiyolr ybcy lst budi zs al mvlyob sv rrumcgb zu tywlvrzumt om oyuhk ebl estsw lut iqiy jsyblv ebly umt bsw jxob ys zcr cr u ztirzosy ybuy bcg jliy digcmk qoroysvg zs ltvurl muv ur hsyk ug risrsl bcqi jlim zvudlhhcmq uvutyt zbi ouyzoyimz uxzrcwl zblov uwy osxyzvl cy giijr lqly itvuhiumg tsm z iyue zbl uyrelv uoeuvwoyk zu ylw rssscmk al kuxqsq om rog it estyyvclg avczccm cmt zbl xr ebivi ur xugy dcrczsvg iyue aty xck al vlhxezuyz yu ceimswsltqi kvcytczolg jck juii tr jsvl ybcm bchp kstv eccyhivgsm g cyouxi ltvsriuyg uvi wllhsl wcqctiw um zohhcmk om vlgyctvcmzg muv lgcxhhl sm virhuywlmzg cm qlvxumk yust ybl huhsrziv yblk ykrcoushl zorriw usxsrz zbl rcxi cr ybi tg cy zbl xi ebivl cm uhzcumch givdcel ebcvql sm uasxy or trtuhsl cmohxtlt gccw ybik sipz c kvuyxoyl ybl mcqxvi oy rruom wbivi rlvdoei or umzly omesxwlt cy vlgyuxvcyy acshr jty toylvr ecy slcdl shycsycs zcrr eug ebosi om pvcyei eblvi lqlvl rvcei uy u vlgzctvcmy xiyt usvictk cyehxtir psv rivqoei sp hlursl guot yblk qimlvuhhl zcrrit uy yuh lqly cm reiwiy ebivl ycrg cvi kiylvussl msy lprioyit ybl poqxvl wcg jxy umhk sp cychocmg rcow ybik euxst zlhooussl slcql c kvcztozk cpzlv c jich utz eczb u vczbiv kvicziv rvuruvzcuy uwxozzcyq zbll mldlv himz u oimy c rzcvzhomq um vlgrsytlyyr cm zbi xg bueidlv cyt sm qlvxcyr al muv ybi xsgy oy ixvurl oummirgiw zbll wstst ycr rsjlzcjir sv smzim iqim cp ybi rivdcei eur zlvvcahl oytcecyomk ybcz muv ruxi zorhoyk or muz casxy fxuhczl sm givdcei cy chs zbl pomtcykr sp zbi gtvdlk wchh osji ur c gxvrvogl cy qlvjumk u eutyzvk ybuz tsig yuz klmlvcssl ybomi up ozrlsm cr u muyosm sp bchrk wcgzvcjxzuvr sm yvcyikisw ybl wuvw cy u gcxcscv diom yu hsxvascvi om mvimob jiuyr tvcmiomq xsyil muv or klvxcyk c esxyyvl wburi givdcei rzcmm uvl rcvyooxscvsk etryujlv mvclytsk cm jivsom u qsugg sp jilv uv c rhuzl sp puuw cg upzlm rlvdlt om u bxmp vuzblv ybcm wczb u rxchl ysy puv yuzbomk cg rivqcoiw rzi wixzrobsuyt kivjcmk cr c givqcel wlrlvz u zboyq klz zbi tuzc vlmsioyr c oslcv zvlyt qivjcmr ylyt yu bcmt sqiv c mie lpzvc oucyg cvvlrhioycdi sp buw ybik buqi jllm zvicziw zbll cvl ybi muzcum cm ltvshl hicgz honisk yu msy zcr idim muv rssv rivdooi cyw ybl jugz ecsscyk yu ruk lgyvc psv cqivukl glvdcol u esyzoyxoyk mumwmlgr psv eugb jul ji c mueysv wczb xuyk zcgo wvcdlvr cmt auvr rzohs vlmxromq rclxiyz jl ecvt u qvsecyq cwcvlyigr up hcjuxv gbsvzukir om ybl ouylvomk glezsv ostsw usgs igrhccy c obcmql cm czzczxtl ecyb juyl acvr umw ecmlg iqlm cm jck ocyolr vltxecmq ybiov uhiyomk bsxvg txl zu c rsgz humtijoo suen sp gyupp rsxl acvilihlvr guk zblov otrzsxlvr bcqi vlolmysl aiesji xsvi qlmlvutg ychhivr jty op qlvjum yorrcyk bcaczg riij omqvucmiw zblk uvl msz cseukg sjrivqiw cttcyq cg u kiylvuhsl ceoiryit vxhl axz muz useulr mussseit xsrz exrzsxivg rck ji ipzvu guot xlbjlz wsquy u jlvhom ycpo wvodlv jxz zbi vthl tuigm y chhhl zs hsykiv dstvmikg c tuy y zbcmi c budi jlly koqim c zcr cy llcvr sp wuomk xl nsj op rujluyl rhorrit ji c poqiv c w ugrtxi zblk jctl c jcgzcil xcyybie gjozb lutqsq g bluw sp tuzc dsxvyuhcrx ruow guxi jck al gtvrvcrlw jk zbi vlqlsczouy zbcz klvjumg cvi dxrz ug hcilsk cr uxivcocmg zs zoh rivdcei esviivr muz siugy jieutrl rlvqcoi uzzoytwlg cy kivjcyl buqi hvldoutrhl aiim ru juw zbuz ybl ksdivyxlmz pisz zbl ylit zs ctwvlgg oz aimuvl zbl ostyzvl bugyiw zbi wsvhw exh om ozuhl ycacuyu yceussrc ebs xuyckir ztcvcms u juv uyw vigzcxvuyy cy eimzvcs vujl gccw zbl osxmzvl gcxhhk wslgy y buql c ethzxvl muv zohhomq wi vi ysy honl ujlvceuyr uv zbi jvczcrb el jokby ts oy uoeurosyuhhk jxy oz g yuz rsjizboyq ybuy og lgrioyit oy og vuvi yu gll c ycr aug jl zbl yohs cy u juv uv vigyutvcyy cy czcsl eozb rsji seyivr wllxomq rtob c torhhck tyjiosxomk cmrzluw zblk uhrvieouzi zbl hulcszk up vikthuv ehclmzihi wbs xuk ueourcsmuhhk siudl c scyyhl ipyvc cpylv yblov tvcmi sv xiuh cy vlosqyozosm up ztuhoyk cmt rlvqoel vczbiv zbuy sty sp sahoqczcuy xuyl oyuhocmr bueiqlv slcdi ybl ebumql upzlv ruloyk c jchs om u osmpli esryr olyzr ybly u exryuxiv ecss trtcssk kcdl umt hlz tr nlih zbi obcyqi rcow vooecvws osmyc c euoylv oy vsji psv gsxl exrzsxlvr hluqcyk ybl rxcss obumki og rcxhsl u xuyzlv up ysy wcyycyk yu buyk uvuxyt bl cwtit hlvrumchhl eumyc gucw bl jxeig zbl zvlyw up muy ychrcmk cycsocyr c cswulg hicql u yoh xcoyhl cy juvr cmw vigyctvuyyr bl gcot ctwomq cy wug qlvl gtadloyodi oy uhh wlrlywg uy ybl cmwoqotxuh cz r u klrzxvi lsx jckbz gii jsvi pvux rlsrsi oy ybi rsxzb ebu cvl qlylvchhl xuvi ecvj umt kimlvutr zbcm cy ybl yuvzb vimivlyoi kivxuyg airz ycrrivr oy ltvsri mcmtg huss czuhouyr msy gs xtob ybl qtuvwocm rcz dtyl\n",
      "Iter 0 of start 3: zh rabomhs zu lasoe um fa kbaxxs ttzv myumonxzw ebsuus otwv mki uva xzta zx hbmhwa nxd eennx zu nki ysesxde kbaetomoij mx emznni eyoukaxzse xvnx siy vmca ui fs hbsxzv ib eemhnlv um yxdsbeumhy zh zxmkj wvs wiyid smy arax oixvsb wvsx mhy vid otzv xi une ne m uyaeuzix xvmx vnl osax calnhj rzezxibl ui sybmes hmb me kixj ml eaieis vnra osah ubmcskknhr mbmyxy uva zmxuzxahu mtuends uvszb mdx zitxubs nx laaoe srsx aybmkamhl yih u axmw uvs mxewsb mzwmbdzxj um xsd eiiinhj fs jmtrir zh ezl ay wiyxxbnsl fbnunnh nhy uvs te wvaba me tmlx cnenuibl axmw fyx tnj fs bsktwumxu xm nwahidisyra jbnxynuzsl onj omaa ye oibs xvnh vnkp jiyb wnnxkablih l nxzmta sybieamxl mba dsskis dnrnyad mh uzkknhj zh bslxnybnhul hmb slntkks ih baekmxdshul nh rsbtmhj xmiy xvs kmkieuab xvsj xjenzmiks uzeead mitieu uvs enta ne xva yl nx uvs ta wvabs nh mkunmhnk labcnws wvnbrs ih mfitx ze yeymkis nhzktysy lnnd xvaj iapu n jbmxtzxs xvs hnrtba zx eemzh dvaba esbczwa ze mhusx zhwitdsy nx bslxmtbnxx fnike oyx yzxsbe wnx isncs ikxnixni unee wml wvzia zh pbnxwa wvsba srsbs ebnwa mx m bslunybnhx taxy mibanyj nxwktyae pib eabrzwa ip ksmeis lmzy xvsj rahsbmkks uneeay mx xmk srsx nh ewadax wvabs xnel nba jaxsbmiis hix speazxay xvs pzrtbs dnl otx mhkj ip nxnkznhl enzd xvaj wmtiy uskzzmiis isnrs n jbnuyzuj npusb n oank myu wnuv m bnuvab jbanuab ebmembunmx mdtzuunxr uvss hscsb kahu m zahx n eunbukzhr mh bsleixysxxe nh uva tl vmwacsb nxy ih rsbtnxe fs hmb xva tilx zx atbmes zmhhaelad uvss diyiy xne eiosunoae ib ihuah arah np xva eabcnwa wme usbbnfks zxynwnxzhj xvnu hmb emta uzekzxj ze hmu nfitx qtmknus ih labcnwa nx nki uvs pzhynxje ip uva lybcsj dnkk zioa me n ltbebzls nx rsbomhj m wmyxubj xvmu yial xmu jshsbniis xvzha mp zuesih ne m hmxzih ip vnkej dnlubnotumbe ih xbnxajaid xvs dmbd nx m lntninb cazh xm kitbfinba zh hbahzv oamxe ybnhazhr tixas hmb ze jsbtnxj n witxxbs dvmea labcnwa eunhh mbs enbxzztinbij wyexmosb hbnsxyij nh oabizh m rimll ip oasb mb n ekmus ip pmmd nl mpush esbcsy zh m vthp bmuvsb xvnh dnuv m etnks xix pmb xmuvzhj nl eabrnzad eua datuezvimxy jabonhj ne n labrnws dsesbu m uvzxr jsu uva ymun bshiazxe n zisnb ubsxy rabonhe xsxy xm vnhy irab n haw spubn zmnxl nbbsekazxnca ip vmd xvaj vmra ossh ubanuad uvss nbs xva hmunmh nh sybiks kanlu kzgaij xm hix une acah hmb eiib eabczza nxd xvs omlu wniinxj xm emj slxbn pib nrabmjs lsbcnzs m wixuzxtzxj hmhdhsle pib wmlv oms oa n hmwxib dnuv tmxj unlz dbncsbe nhy fmbe euzki bshtezhr enstaxu os wnby m rbiwnxr ndnbsxale mp knomtb lvibumjae zh xvs zmxsbzhj lswuib ziyid mili aleknnx n zvnhrs nh nuunutys wnxv omxs fnbe mhd wnhsl arsh nh onj znxzse bsytwnhr xvazb mkaxzhj vitbl yts um n eilu kmhyaozz imwg ip lxmpp eits fnbasaksbe lmj uvszb zyeuitsbe vnra bszshxis fawioa tiba rshsbmyl xnkkabe oyx zp rsbomh xzeenxj vnfnul eaao zhrbmnhad uvsj mbs hiu niwmjl ioeabrad nyynxr nl m jaxsbmkis nwzaexay btks ftu hmu miwmse hmiiiway tieu wteuitabl enj oa apubm lmzy tsvosu dirmx m osbkzh xnpz dbzcsb otu uva byks ymalh x nkkks ui kixjab ciybhajl n ymx x uvnha n vmca ossx jzrah n une nx ssnbe ip dmzhj ts gio zp emosmxs ekzeeay oa n pzrab n d mleyta uvsj onys n onlunas tnxxvaw lozuv smyrir l vsmd ip ymun citbxmknet emzd lmta onj fs lybebnesd oj uva bsrsinuzmx uvnu jsbomhl nba cteu ml knasij ne mtabnznhl ui uzk eabcnwa wibaabe hmu iamlx oawmyes esbrnza muuzxydsl nx jabonxs vmra kbsczmyeks faah em omd uvmu xvs jicabxtshu paiu uvs xsay ui nydbsll zu fahmbs uvs ziyxubs vmlxad uva dibkd wtk zh zumks xnfnmxm xnwmiien wvi tmxnjae uynbnhi m omb mxd baluntbmxx nx wahubni bmos lnnd uvs zithubs lntkkj dislx x vmrs n wykutbs hmb uzkkzhr da ba xix kzgs mosbnwmxe mb uva obnunev ws ozjvx yi zx mzwmezixmkkj otx zu l xmu eioauvzxr xvmx zl sleazxay zx zl bmba xm lss n xne fml os uvs xzki nx m omb mb balxmybnxx nx nunis wzuv eioa iwxabe dsstzhr eyzv n yzekknj yxoazitzhj nheusmd uvsj mkebawzmua uvs kmsniuj mp bajykmb wknshuaka dvi tmj mwzmenihmkkj iamcs n inxxks apxbn npxsb xvszb ybnha ib tamk nx bszirxzuzih mp uymkzxj nhy esbrzws bnuvab uvmx iyx ip ifkzrnunmx tmxs zxmkznhe vmwarsb isnca xvs wvmhrs mpusb emszxj n onki zh m zihpsa wiexe zsxue xvsx m wtexmtab wnii yeyniij jncs mhy ksu ye gsak uva zvnxra enzd bzzwnbdi zihxn n wmzxsb zx bioa pib lits wteuitsbe ksmrnxj xvs etnii zvmhja zl entkis m tmxusb mp xix dnxxnxj xm vmxj mbmtxy vs ndyay ksbemhnkks wmhxn lmnd vs otwal uvs ubsxd mp hmx xnkenhj nxniznxe n nidmsl kanrs m xzk tnzxks nx ombe nhd balxnybmxxe vs lnzy nydzhr nx dml rsbs lyfcszxzca zx mkk dsesxdl mx xvs nhdzrzytmk nu e m jseutba sit onjvu laa oiba pbmt esieia zx xva eituv wvm nbs rsxsbnkks tmba wnbo mhy jahsbmye uvnh nx xvs xmbuv bahabsxza jabtmxl faeu xneeabe zx sybiea hnhyl kmii numkzmxe hix li tyzv xvs rymbdznh enu cyxs\n",
      "Not updating anymore after iteration 48\n",
      "Iter 0 of start 1: ax vpvosyc au tpwot ug dw bvpzzc ocgj siurosuah bvpuua oigj snn zjp umow mx yvsxgw syx tbsmy au snf mwbwymt bvwtiosdfa gx trhmsf tcdufwzapt ujsu agc jsow ug dw yvwxgk rb tbsymtj zr cyxpvtzsxx ax musna pja lgifm crc powy drzjpb ljpy sxx jrl icgj zg zaz mt s ecwtzmrx ujsz jst dpwy ewwaxv eatmzgbt ur wivrbp ygv st ngxv st bwrznw jsow dwwy zbsepffmyu sbrcxm zjw grxumypxz gcztamw zkpab glx grixuba az tppot wowx pcbrzpsxt mgy z jxrp zjp sxtlwv shhrvmayv ug xwl zrnfmyu dc agcure ay tmf wi hrcyuvapt dvmzsay sxm zkp ct pkpvw st irtz omtmugbt hxrl dcu osa dw vpncgusxz ug sghxrlfpxup uvsucmumwt osc ishp iz ogbp uksy ksnl arib psmubpbtry t ayhrow pcbgzwsxt svw xwpzna xaeaxpx gy umbzaxv mx vptusibsyut lrb pwsobnp ry bptbryxpxzt ax vpbisya ugnx ukp zrnftzwb ukpa uabmhsfnc zazzpx sfortz ukp tsop st zjp ct mx zjw cj lkpbp sy rzumrysf tpvoahw gksvuw gl sdgcu mt itisfna mxhncxpx tsax zjpc fpyz s vbsucmuc zjp lavivw mx tbsay pjpbw twvemhp at gyzpx mxhncxpx ax vptzsivsxz dafnt dcz xmywvt hsy npsop gbzagxsf zazt pst pkafw ay ybsxhw ljwvw popbc bbagp rx s vptzsivsxu iwxc snvwsmc mygnimpt lgb twboahw ry zwrbfw tsam zjpa uwywbsnna zazbwx rx ugz powy ax tppmpy lkpbw zmbt sbp upxwbsffa xgu wwzwgzpx zjw yauivw lst dcu gxna ry mzsfasxt tsmx zkpc prifx zczmhsffc fpsep s ubsucmzc syzpb s ipsf riu lauj s bsujwv vvwszpb bbrzgvzarx smoauzmxv ukwc xpewb nplz s gwyu s tzsvznmyu rl vwtzgyxpxzt mx zkp it kgppowb syx gl upvosxt da ysv ukp irtz ax pibrzp hgxlpttwx ukpa lgifx zaz triwzmipt rv ryzwy wewy al zjp tpbemgp lst zwvvadnw axxmgsumyv ujsu yrv trip zabzmxv mt ygz sdgiu qisnmzc gy tpvoahw su sff ukw layxayvt ry ujp tivewa lmnf hgiw st s tcvzvatw my uwvosya s hrcyzva ujsu xrwt xgz vwxwvsnnc zjmxj gy mutwny st s xsumgy rl kszza xatzvadizrbt ry ubaxhuwnx zjw prbm mx s tmiafsb oway zg zgibdgabp ay lbpxgk opsyt xbmxjayu ogxwa yrb mt vwvisxa s hgcyubc pjrtp tpveahw tzsyl svp zsvzagcnsbna gitzriwb lbmwxxfa my dwvfmy s unstt rl dwwb gv s zfszw rl lrrm mt glupy tpvopm ax s jily bszjpv zksy pazj s timfw xgz lrb xgujaxu mt tpveahwp tuw mwcutgjfsyx upbisya mt s twbeahw mptpvu s ukmxu awu ujw msus vwlfwgut s gfwsb uvpxm uwbosyt zwym ur ksxx rewb s lpl wwzbs grmyt abvwtbwhuaep gl jrl ukpa jsep dpwy zbpszpm ujpc svp zkp ysuary ay wcvgzw npstu nahwfa ur ygu zmb pewy lgb brgb tpvemgp sym zjp ortu lmnnmyv ug zsa pfzbs ygv sepbsvw twvomhp s hgyumyimyu lgxxxwtt yrv gstj isa dw s ysgurv pmuj osyc zsfm mbaowbt sxm dsbt tumnf bwlitaxv zsaopxu da hsvm s vvglmxv slsbpywtt gy nsdgcv tkrbzsvwt ay ujp gsuwvayv tpgzgb hgcfx sntr wwznsmy s hjsxup my szuazixw pmzj isxa dsvt sxx hsypt wewx my dmv gazapt vpxigmxu ujwmb gbpxmyu kribt xiw ur s zrtz zsyxpomg fshh gy tusyy tgow dsvhwwbwbt tsc zjpab hctzropbt ksep bpgwyufa dwhrow igbp upxwbrit zmbzwbt dcz al uwbisx zmzzaxv ksdmut twpi axvvsaxpm ukpc svp ygz sfpsct rdtwvewm smxmyu mt s uwypbsffa shhpbupm vinp diu xru snlsct lrfngpwx irtz hitzropbt bsc op wwubs tsmm owkiwz xrusy s dpvnax usfa xbmowb dcu ujw bifw mgpty u sbzfa ug fgxvwv kgibywat m xgy u ujmxh a ksew dppx vmowx s umz ay apsvt ry xraxu ia krd ml triwgyw tfmzzpx ow s lmewv a m sttiip ukwa osxp s omtushp iszujpl timuk agiuge t jpsm gy xszs kgivxsnmto tsmx tgow osa dp tivzvatpx da zjw bpepfsumry uksz vwvisyt svp kitu st fajpnc st sowbmhsxt ur umb twvemhp pgvhpvt yrz fpstz dwgsitp twveahp szzmuixpt ax vwvosyc ksew bvwomrctnc dppx tr dsx zksz ujp vgopvxopxu lpnu ukp ypwm zr smxbptt au dplgvp ujp ggixzvc jgtuwm zkp prbfm giz ax azsfa zmnmsxs ymhrngta lkr osysuwt ecabmyr s dsb sxx bwtusibsxz ax hpxzbsf vrop tsax ujw hgcyzba taibna xgwty u jsep s hcnzcvp lrv zazzayu lw vp yru najp sopvmgsyt gv zkp dbmzmtk lp oaukz mg mu ghhstmgysfna diz az t yrz trowujaxu ujsz at pfzpgzwm au mt vsvw ur tww s uaz drw da zkp uaff my s dsb gb bwtzsibsyu mx azsnc lmzj trow gpypbt xpwiayv tigj s matbnsc cxdwhgiayu mxtzwsx zkpc szzvwhaszp zkp frasfuc gl bwuinsb gfapyupnp pjr osa rggstmrysffa fpsow s fauzfp pfzbs slzpv ukpmb mvmyj gv ipsf ax bphguxazmrx gl qisfaza syx tpbomgp bsujpv ujsx giz gl gdfmuszmgx osyc ausfasyt krlpopv fpsop zkp gjsxuw syuwv zscaxu s dmff ay s hgyypw ggtzt gwxut zkwy s gitzriwb lanf itcsnnc vaop syx fpu ct hwpz ukw hjsyup tsmm bahhsvmg hgyzm s psaupb ax vrop yrb triw gituriwbt nwsomxu ukp tosfn hjsyvp mt taizfc s iszupb rl ygz lsyzayv zg jsxv svgixx jp smxpx zwbtrysnnc gryzm tsmx jw dcgjt ujp uvwym rl ygx zmzbmyv mzsfasxt a sflsat fpsop s zaz osayna ax dsbt sxx vptusibsxut kp tsax sxxmyu mz lst ewba tidrpgzaow au sff mwbwxmt gy zkp mxxaomxisf au t s uwtucvp crc imujz tpw irbw lvgi zpgbfp mx zkw trizk lkr svp vpxwvsnfa irbw lsvo sxx vpypvrit zksy mx zjp yrvzj bpypvwyhw vwbosyt dwtz umbbpbt ax wivgbp lmxxt zgff azsnasxt ygu tg ochk zkp visvmasy tsu riyp\n",
      "Iter 0 of start 2: bn azacegl bm oztco mu jt sazyyl cluk edmrcembq sazmmb cduk evv ykz mhct hn gaenut egn osehg bm evw htstgho satodcejwb un orqhew oljmwtybzo mkem bul kect mu jt gatnui rs oseghok yr lgnzaoyenn bn hmevb zkb fudwh lrl zctg jrykzs fkzg enn krf dluk yu yby ho e xltoyhrn mkey keo jztg xttbna xbohyuso mr tdarsz gua eo vuna eo stryvt kect jttg ysexzwwhgm esrlnh ykt urnmhgzny ulyobht yizbs ufn urdnmsb by ozzco tctn zlsryzeno hug y knrz ykz enofta eqqrahbga mu ntf yrvwhgm jl bulmrx bg ohw td qrlgmabzo jahyebg enh yiz lo zizat eo droy chohmuso qnrf jlm ceb jt azvlumeny mu euqnrfwznmz maemlhmhto cel deqz dy cusz mieg ievf brds zehmszsorg o bgqrct zlsuyteno eat ntzyvb nbxbnzn ug mhsybna hn azomedsegmo frs ztecsvz rg szosrgnznyo bn azsdegb muvn miz yrvwoyts mizb mbshqewvl ybyyzn ewcroy miz oecz eo ykz lo hn ykt lk fizsz eg rymhrgew ozacbqt uieamt uf ejulm ho dodewvb hnqvlnzn oebn ykzl wzgy e asemlhml ykz fbadat hn osebg zkzst otaxhqz bo ugyzn hnqvlnzn bn azoyedaeny jbwvo jly nhgtao qeg vzecz usybunew ybyo zeo zibwt bg gsenqt fktat zczsl ssbuz rn e azoyedaenm dtnl evatehl hguvdhzo fus otscbqt rg ytrswt oebh ykzb mtgtsevvb ybystn rn muy zctg bn ozzhzg fizst yhso esz mzntsewwb num ttytuyzn ykt gbmdat feo jlm unvb rg hyewbeno oehn yizl zrdwn ylyhqewwl wzexz e msemlhyl egyzs e dzew rdm fbmk e semkta aateyzs ssryuaybrn ehcbmyhna mitl nzxts vzfy e utgm e oyeayvhgm rf atoyugnznyo hn yiz do iuzzcts egn uf mzaceno jb gea miz droy bn zdsryz qunfzootn mizb fudwn yby ordtyhdzo ra rgytg txtg bf ykz ozsxhuz feo ytaabjvt bnnhuemhga mkem gra ordz ybsyhna ho guy ejudm pdevhyl ug ozacbqt em eww mit fbgnbgao rg mkz odaxtb fhvw qudt eo e olayabot hg mtacegb e qrlgyab mkem nrto nuy atntaevvl ykhnk ug hmotvg eo e nemhug rf ieyyb nboyabjdyrso rg msbnqmtvn ykt zrsh hn e ohdbwes ctbg yu yudsjubsz bg fsznui czego nshnkbgm cuntb grs ho atadenb e qulgmsl zkroz ozaxbqt oyegf eaz yeaybulvesvb udoyrdts fshtnnwb hg jtawhg e mveoo rf jtts ua e yweyt rf frrh ho ufmzg ozaczh bn e kdfg seykza yieg zbyk e odhwt nuy frs numkbnm ho ozaxbqtz omt htlmoukwegn mzsdegb ho e otsxbqt hzozam e mihnm btm mkt heme atfwtumo e uwtes maznh mtscego ytgh mr ienn rxts e fzf ttyse urhgo bsatostqmbxz uf krf mizb kexz jztg yszeyzh mkzl eaz yiz gembrg bg tlauyt vzeom vbqtwb mr gum yhs zxtg fus srus ozaxhuz egh ykz crom fhvvhga mu yeb zwyse gua exzseat otachqz e qugmhgdhgm funnntoo gra ueok deb jt e geumra zhmk cegl yewh hsbctso enh jeso omhvw stfdobna yebcznm jb qeah e aaufhna efeszgtoo ug vejula oirsyeato bg mkz uemtabga ozuyus qulwn evor ttyvehg e qkenmz hg eymbydnt zhyk denb jeao enn qegzo txtn hg jha ubybzo aznduhnm mkths usznhgm irdso ndt mr e yroy yegnzchu weqq ug omegg ouct jeaqttstso oel ykzbs qloyrczso iexz szutgmwb jtqrct dusz mzntsrdo yhsytso jly bf mtsden yhyybna iejhmo otzd bnaaebnzh mizl eaz guy ewzelo rjotaxth ehnhgm ho e mtgzsewwb eqqzsmzh advz jdm nrm evfelo frwvuztn droy qdoyrczso sel cz ttmse oehh ctidty nrmeg e jzavbn mewb nshcts jlm mkt sdwt huzog m esywb mu wunata iudsgtbo h nug m mkhnq b iext jzzn ahctn e mhy bg bzeao rg nrbnm db irj hf ordtugt owhyyzn ct e fhxta b h eooddz mitb cenz e chomeqz deymkzf odhmi budmux o kzeh ug neye iudanevhoc oehn ouct ceb jz odayabozn jb ykt szxzwemhrg miey atadego eaz idom eo wbkzvl eo ectshqeno mr mhs otaxhqz zuaqzao gry wzeoy jtuedoz otaxbqz eyyhmdnzo bn atacegl iext satchrlovl jzzn or jen yiey mkz auczancznm fzvm miz gzth yr ehnszoo bm jzfuaz mkz uudnyal kuomth yiz zrswh udy bn byewb yhvhene ghqrvuob fir cegemto xlbshgr e jes enn stomedseny bn qznysew arcz oebn mkt qulgysb obdsvb nutog m kexz e qlvylaz fra ybyybgm ft az grm vbkz eczahuego ua yiz jshyhoi fz cbmiy hu hm uqqeohugewvb jdy by o gry orctmkbnm mkey bo zwyzuyth bm ho aeat mr ott e mby jrt jb yiz mbww hg e jes us stoyedsegm hn byevl fhyk orct uzgzso nztdbga oduk e hbosvel lnjtqudbgm hnoyten yizl eyyatqbeyz yiz wrbewml uf stmdves uwbzgmzvz zkr ceb ruueohrgewwb wzect e wbmywz zwyse efyza mizhs hahgk ua dzew bn szqumnbyhrn uf pdewbyb egn ozschuz semkza mken udy uf ujwhmeyhun cegl bmewbego irfzcza wzecz yiz ukenmt egmta yelbnm e jhww bg e quggzt uuoyo utnmo yitg e udoyrdts fbvw dolevvl abcz egn wzm lo qtzy mit qkegmz oehh sbqqeahu qugyh e zebmzs bn arcz grs ordt udomrdtso vtechnm miz ocewv qkegaz ho obdywl e deymzs rf guy fegybga yu kena eaudnn kz ehnzn ytsorgevvl urgyh oehn kt jluko mkz matgh rf gun yhyshga hyewbeno b ewfebo wzecz e yby cebgvb bn jeso enn azomedsenmo iz oebn ennhgm hy feo xtsb odjrzuybct bm eww htstnho ug yiz hnnbchndew bm o e mtomlaz lrl dhmky ozt drst faud yzuswz hn yit ordyi fir eaz azntaevwb drst feac enn azgzardo yieg hn ykz grayk szgzatgqt atscego jtoy mhsszso bn tdausz fhnno yuww byevbeno gum ou clqi yiz adeahbeg oem rdgz\n",
      "Iter 0 of start 3: hd pepabrz hm selas mu cl opeggz azut bxmfabmhi opemmh axut bww gte mval vd rpbdul brd sobvr hm bwn vlolrvs oplsxabcnh ud sfivbn szcmnlghes mtbm huz tbal mu cl rplduq fo sobrvst gf zrdepsgbdd hd vmbwh eth kuxnv zfz ealr cfgteo kter bdd tfk xzut gu ghg vs b jzlsgvfd mtbg tbs celr jllhdp jhsvguos mf lxpfoe rup bs wudp bs olfgwl tbal cllr gobjennvrm bofzdv gtl ufdmvredg uzgshvl gqeho ukd ufxdmoh hg seeas lald ezofgebds vur g tdfe gte bdsklp biifpvhrp mu dlk gfwnvrm cz huzmfj hr svn lx ifzrmphes cpvgbhr bdv gqe zs eqepl bs xfsg avsvmuos idfk czm abh cl pewzumbdg mu buidfknedme mpbmzvmvls abz xbie xg auoe mqbr qbwk hfxo ebvmoeosfr s hrifal ezouglbds bpl dlegwh dhjhded ur mvoghdp vd pesmbxobrms kfo elbaowe fr oesofrdedgs hd peoxbrh muwd mqe gfwnsglo mqeh mhovibnwz ghgged bnafsg mqe sbae bs gte zs vd gtl zt kqeoe br fgmvfrbn sepahil uqbpml uk bcuzm vs xsxbnwh vdiwzded sbhd gtez nerg b pobmzvmz gte khpxpl vd sobhr eteol slpjvie hs urged vdiwzded hd pesgbxpbdg chnws czg dvrlps ibr webae uoghudbn ghgs ebs eqhnl hr robdil ktlpl eaeoz oohue fd b pesgbxpbdm xldz bwplbvz vruwxves kuo sloahil fr glfonl sbhv gteh mlrlobwwh ghgold fd mug ealr hd seever kqeol gvos boe medlobnnh dum llgluged gtl rhmxpl kbs czm udwh fr vgbnhbds sbvd gqez efxnd gzgvibnnz nebje b mobmzvgz brgeo b xebn fxm khmt b obmtlp pplbgeo oofgupghfd bvahmgvdp mqlz dejlo wekg b ulrm b sgbpgwvrm fk plsgurdedgs vd gqe xs queealo brd uk mepabds ch rbp mqe xfsg hd exofge iudkessld mqeh kuxnd ghg sfxlgvxes fp frglr ljlr hk gte seojvue kbs glpphcwl hddvubmvrp mtbm rfp sfxe ghogvdp vs rug bcuxm yxbwvgz ur sepahil bm bnn mql khrdhrps fr mte sxpjlh kvwn iuxl bs b szpgphsl vr mlpabrh b ifzrgph mtbm dfls dug pldlpbwwz gtvdt ur vmslwr bs b dbmvur fk qbggh dhsgphcxgfos fr mohdimlwd gtl efov vd b svxhnbo alhr gu guxocuhoe hr koeduq aebrs dovdthrm audlh rfo vs plpxbdh b iuzrmoz etfse sepjhil sgbrk bpe gbpghuzwbowh uxsgfxlo kovlddnh vr clpnvr b mwbss fk cllo up b gnbgl fk kffv vs ukmer sepaev hd b txkr obgtep gqbr ehgt b sxvnl dug kfo dumthdm vs sepjhile sml vlzmsutnbrd meoxbrh vs b slojhil vesepm b mqvdm hlm mtl vbmb plknlums b unlbo mpedv mloabrs glrv mf qbdd fjlo b kek llgob ufvrs hoplsolimhje uk tfk mqeh tbje celr goebgev mtez bpe gqe rbmhfr hr lzpugl websm whilnh mf rum gvo ejlr kuo ofuo sepjvue brv gte afsm kvwwvrp mu gbh engob rup bjeobpl slpavie b iurmvrxvrm kudddlss rfp ubst xbh cl b rbumfp evmt abrz gbnv vohalos bdv cbos smvwn olkxshdp gbhaedm ch ibpv b ppukvdp bkboerlss ur wbcuzp sqfogbpls hr mte ubmlphrp seuguo iuznd bwsf llgwbvr b itbdme vr bgmhgxdl evgt xbdh cbps bdd ibres ljld vr cvp uhghes pedxuvdm mtlvo uoedvrm qfxos dxl mf b gfsg gbrdeavu nbii ur smbrr sual cbpillolos sbz gteho izsgfaeos qbje oeulrmnh clifal xuoe medlofxs gvoglos czg hk mloxbd gvgghdp qbcvms slex hdppbhdev mqez bpe rug bnebzs fcslpjlv bvdvrm vs b mlreobnnh biieomev pxwe cxm dfm bwkbzs kfnwueld xfsg ixsgfaeos obz ae llmob sbvv alqxlg dfmbr b cepwhd mbnh dovalo czm mtl oxnl vuesr m bognh mu nudplp quxorlhs v dur m mtvdi h qbjl ceed pvald b mvg hr hebps fr dfhdm xh qfc vk sfxlurl snvgged al b kvjlp h v bssxxe mqlh abde b avsmbie xbgmtek sxvmq huxmuj s tebv ur dbgb quxpdbwvsa sbvd sual abh ce sxpgphsed ch gtl oejenbmvfr mqbg plpxbrs bpe qxsm bs nhtewz bs balovibds mf mvo slpjvie eupieps rfg nebsg clubxse slpjhie bggvmxdes hd plpabrz qbjl oplavfzswz ceed sf cbd gqbg mte puaepdaedm kewm mqe relv gf bvdoess hm cekupe mte uuxdgpz tusmlv gqe efonv uxg hd hgbnh gvwvbdb rvifwush kqf abrbmls jzhovrf b cbo bdd olsmbxobdg hd iedgobn pfae sbhd mtl iuzrgoh shxowh dulsr m tbje b izwgzpe kfp ghgghrm kl pe rfm whte baepvubrs up gqe covgvsq ke ahmqg vu vm uiibsvurbnwh cxg hg s rfg sfalmthdm mtbg hs engeuglv hm vs pbpl mf sll b mhg cfl ch gqe mhnn vr b cbo uo olsgbxobrm vd hgbwz kvgt sfal uereos delxhrp sxut b vhsowbz zdcliuxhrm vdsglbd gqez bggplihbge gqe nfhbnmz uk olmxwbo unhermewe etf abh fuubsvfrbnnh nebal b nhmgne engob bkgep mqevo vpvrt up xebn hd oeiumdhgvfd uk yxbnhgh brd seoavue obmtep mtbd uxg uk ucnvmbgvud abrz hmbnhbrs qfkeaep nebae gqe utbdml brmlp gbzhdm b cvnn hr b iurrel uusgs uldms gqlr b uxsgfxlo khwn xszbwwz phae brd nem zs ileg mql itbrme sbvv ohiibpvu iurgv b ebhmeo hd pfae rfo sfxl uxsmfxlos wlbavdm mqe sabnw itbrpe vs shxgnz b xbgmeo fk rug kbrghrp gu tbdp bpuxdd te bvded glosfrbwwz ufrgv sbvd tl czuts mte mplrv fk rud gvgovrp vgbnhbds h bnkbhs nebae b ghg abhrwh hd cbos bdd pesmbxobdms qe sbhd bddvrm vg kbs jloh sxcfeughal hm bnn vloldvs ur gqe vddhavdxbn hm s b mlsmzpe zfz xvmtg sel xfol kpux geuone vd gql sfxgq kqf bpe pedlpbwnh xfol kbpa bdd perepfxs gqbr vd gte rfpgt oereplril ploabrs clsg mvooeos hd lxpuoe kvdds gunn hgbwhbds rum su aziq gqe pxbpvhbr sbm fxre\n",
      "Not updating anymore after iteration 39\n",
      "Iter 0 of start 1: dy soxkwyn he faakl ir ga kxaeep kifs viercwedf kbaeip cilz wcc iso ihko dm wbwyfo vmo lkvdm di wjc aoyayof kbalikwnjp hy lhldwc ldgecoedol esvi phd zwba eh ga jbamfz rb lywyhfz er dmaoblivyo hy devjp msn phdja pri oxay nrezob msam vyo zrp kdls ih idy hf w gdolihry izvi zvl noom xouhys bhfderbf eh odxhya wrx vf crmz vf yahkco swba goom ibvxoccdmz vxrdyo iso lryehmomi hdefhao izodb rpm lhdyebp hi faacl obam aixhyavml ohm i emrp eza wmfpox vffrxadms er mop krjjhmz gp nrisrx dm fhu oi frdmebhaf nbdevdm vyo izo il psobo vf chfi bhfhirbf eyrp nie cvn no xajdfivmi ih wfemrmjoazo sxweddedal kvp cwua iy krxo ezvy svcj nhib mvhiyoxlry f hmfhca odxryawyf vbo oaaycp adbhaoo hy ihykhms dm bofivibvyil jrb auwkyca hj bofyhmoamil dm soxkwmp erjo iso yhjcfeob izan epyhfwjcp idkyaa wckrli ezo fwca wf isa if dy ezo iu pzobo wy hkidrmwj laxbdlo fzvxsa rj wnrde df ifivccn dyfjdoaa lvho isan cawe w sbwiiden iso jhziba hy fywhy msoxo fobbhlo hf hwiam hyfcdaoo hm xofiwdbvmi ghjjl ndi ahmaxf fvy covxa hyedrywc edkl mwl psdja hm jxwyla psaxo oboxn kxdfo rm v xalewdbvyi camd wjbavan dmljdaaf wrx fobxhlo rj korkja lwha izap soyoxwjjp idkyao hy ehy abom dm lmooom mzaxa idyl vxo zamoxwjcn mhi aukofiao ezo jdsiba mwl nde hyjp rj divjhwyl fvdo ezan phico epyhfvccn javbo w zbvidhin wjeax w kowj hdi mdiz w bvezob zbowiox kxryrbihhy wocdiidmz esop moxab cawe w fomi w fewxejhys rw xofyryaoyif hy eza df zhpobab vyo rj zoxkvyf np wwx eso crle hy adxryo fhmjallaa isap prdco ihk fhkoehcal rb hjeay oxam hw isa laxbhla mwf eaxbdgco dyodlvihmz eswe jhb frko ihykhyz df mri wghii viwcdep hw fobxhfa wi vcc izo jdmohmzl hj ezo fdxxop mhjc lhka wl w ldbkbdlo hm sobcvmn w lhdyebp isvi ohal yhi zamaxvcjn izhme hw hefajj vf v yvihhm rj svkyn odlebhgdehbf rw exhmusoco eso phba dm v ldcdcwx xahm er yrdxnhhbo dm jxamlz cawyl axdmedmz chyop yrx dl soxcvyp w frdmibp mzhfo fabxdfo liwww vxa yvxidlicwbjp fifihcox jbhomocn dy noxjdm w zcwlf hw gaob hb w ycvea rw jhha df hweam laxbao hy v zdww xwisax esvm mdis v fchjo yhi whx yhezdms hf foxbhfop fio aodiffsjwya saxcwmp df w loxbhlo aaloxi v ishys noe esa oviw xawcafef w fjavx iboma sabkwyl iayo eh zvyo rxax w jam auebv fhdmf hxbolkalidbo rj zhp izan svxo gaay ebaweoa ezap wbo eso ywidhm hm aixhyo javfi cdeojp er yri edy oboy jhb krrb foxxhfo vma eza chle mhccdmz ih kvp atixv jrb vxobvzo fobxdlo v lryidmihmz whmayolf jhx fwfz kwn na v jwlerb phes cwmn ewud obhbaxf wya gwbf ledjj xojifdms yvpkomi gp lvxa v sxhmdms wmwxomoff hj jwnrdb fzhxewzol hy eza lweobhmz falerx lhdco wcfr otycwdy w lzvyso dy weidiiao mhez cvmp nwbf vma lwwol oboy dm ghz lhehof xoodlhyz izahx ryomhmz zrdbf odo ih v yrli kvmoachf jwlu hw fewjw frka gwxeaakoxl fwn esohx fdfehkobf svba boloyijp nalhko crxa zamabrdl idkkaxf ndi dw saxkwy edkyhys zvgdef laoc hmsxvhmoa ezap wba yhe vjmvpl rglaxxoo woadys dl v zoyoxvccp vlfokeaa bica nde yre vjmwpl whjjrmoo krfe lilercoxf kvn ka otixv fwdo caskae arzvy v noxcdy ewuh abhbax gdi esa xico aholm e wykcp eh jrysax thibmapl h arm e esdme h zwxa naay zhxay w ehy hy novbf hj ahhms cn thg hj frkorma lchyyoa co v wdxox h a vffdko esap cwoa v cdlivuo kwiezam fcdis phizhx f sowa rw owew trdbmvcdlk fvho fhko kwn na fdxkxdloa nn esa xoxacwihhy ezwe saxkvyf vbo tdli vl cdeacn vf vkoxhfvmf er idy loxbhfo mrxuabf yhe jawli galvifa lobxhfa weihedaaf dy zoxkvyn zwba kxabdhdljn goam fh nva esve ezo shbabycoyi jaje ezo yaoa ir voobafl hi gowhxa ezo fhdmixn srfeoa eso prbco fdy hy divcn edrdwmw ydlhchld psh kvmwzof gddxdmh v nwx vmo xafivdbvme dy lomexvj xhco fwho izo fhiyebp fdckcn aralm e svba w ficiibo whb ihkydms pa bo yhi cdeo vkoxdlwyf rx eso gxhidfs ma khzsi or di hllwldrywccn gdi di f mhi fhkoishys isvi hl auyafioo di dl xwbo ih loa w idk gru nn iso ehjc dy v nwb hb xafewibvye dm divcn pdes lrca hmmabf aoocdmz fifs w ahfycwn dygolrkhms dmliawo ison vyyxalhwia iso jrpvcen hj bazdcwb lchayiojo msr kwp rflvfdhyvccp jowxa w cheejo auebv vweox ezohx axdyu rb cavj hm balhsyhihhm hj gdvjden vyo foxbdfo xwezab isvy hii rj rgjhsvihhy cvmp devjdwml zhpobab jowbo isa lsvmso wweax yvndms v gdjc dw v fhwjoo frfef fomef izay w lilirkob pdjj ifiwjcp shxo wya joi dl uaay ezo fzwyza lvho bhflvxoh fryed w pwdeab dy bhko whb lhca lilehcabl jawxdms iza lcwjj fsvysa dl ldkyjn v kwieab rj yhi mwyedms eh zwys wbhdmo sa woaao kaxlryvccn lryeh lwdo sa nifef eza ebaya hw mrm edkyhms diwjhvml d wcmvpf jowxa v ihk cwhycn dy gvxl vmo bolevixwyef za fwho voahyz de mwf xaxp lintofidxo de vjc aokayol rm isa dyadxhoiwj di l w zaledba prd kdzzi foo krba wxrc yahkca dy iso lhies msr vbo sayaxwjjn khbo pwxc wya zoyoxrif iswy hy iza mhbez bojoxoylo zaxkwmf noli ehkkoxf dy odbrka jhmaf yhjc divjdwyl mhi fr cdls isa sdwxahvm lve tima\n",
      "Iter 0 of start 2: ye vonager wm dkkai zb lk ankmmp azdv czmbsgmyd ajkmzp szif gss zvo zwao yt gjgedo cto iacyt yz gus koekeod ajkizagrup we iwiygs iylmsomyoi mvcz pwy fgjk mw lk ujktdf bj iegewdf mb ytkojizceo we ymcup tvr pwyuk pbz onke rbmfoj tvkt ceo fbp ayiv zw zye wd g lyoizwbe zfcz fci root noqwev jwdymbjd mw oynwek gbn cd sbtf cd ekwaso vgjk loot zjcnossytf cnbyeo zvo ibemwtotz wymdwko zfoyj bpt iwyemjp wz dkksi ojkt kznwekcti owt z mtbp mfk gtdpon cddbnkytv mb top abuuwtf lp rbzvbn yt dwq oz dbytmjwkd rjymcyt ceo zfo zi pvojo cd swdz jwdwzbjd mebp rzm scr ro nkuydzctz zw gdmtbtuokfo vngmyymyki acp sgqk ze abno mfce vcsu rwzj tcwzeonibe d wtdwsk oynbekged cjo okkesp kyjwkoo we zweawtv yt jodzczjcezi ubj kqgaesk wu jodewtoktzi yt vonagtp mbuo zvo ewusdmoj zfkr mpewdgusp zyaekk gsabiz mfo dgsk gd zvk zd ye mfo zq pfojo ge wazybtgu iknjyio dfcnvk bu grbym yd zdzcssr yeduyokk icwo zvkr skgm g vjgzzymr zvo uwfzjk we degwe tvono dojjwio wd wgzkt wedsykoo wt nodzgyjctz lwuui ryz kwtknd dce socnk wemybegs myai tgi pvyuk wt ungeik pvkno ojonr anydo bt c nkimgyjcez skty gujkckr ytiuykkd gbn dojnwio bu aobauk igwk zfkp voeonguup zyaeko we mwe kjot yt itooot tfknk zyei cno fktongusr twz kqaodzko mfo uyvzjk tgi rym weup bu yzcuwgei dcyo mfkr pwzso mpewdcssr ukcjo g fjczywzr gumkn g aogu wyz tyzf g jcmfoj fjogzon anbebjzwwe gosyzzytf mvop tonkj skgm g dotz g dmgnmuwev bg nodebekoezd we mfk yd fwpojkj ceo bu fonaced rp ggn mvo sbim we kynbeo dwtukiikk zvkp pbyso zwa dwaomwski bj wumke onkt wg zvk iknjwik tgd mknjylso yeoyiczwtf mvgm uwj dbao zweawef yd tbz glwzz czgsymp wg dojnwdk gz css zfo uytowtfi wu mfo dynnop twus iwak gi g iyjajyio wt vojsctr g iwyemjp zvcz owki ewz fktkncsur zfwtm wg wmdkuu cd c eczwwt bu vcaer oyimjwlymwjd bg mnwtqvoso mvo pwjk yt c iysysgn nkwt mb ebynrwwjo yt unktif skgei knytmytf sweop ebn yi vonscep g dbytzjp tfwdo dkjnydo izggg cnk ecnzyizsgjup dzdzwson ujwotosr ye ronuyt g fsgid wg lkoj wj g escmk bg uwwk yd wgmkt iknjko we c fygg ngzvkn mvct tyzv c dswuo ewz gwn ewmfytv wd donjwdop dzo koyzddvugek vknsgtp yd g ionjwio kkionz c zvwev rom mvk oczg nkgskdmd g dukcn zjotk vkjagei zkeo mw fceo bnkn g ukt kqmjc dwytd wnjoiakizyjo bu fwp zfkr vcno lkke mjkgmok mfkp gjo mvo egzywt wt kznweo ukcdz symoup mb ebz mye ojoe uwj abbj donnwdo ctk mfk swim twssytf zw acp khznc ubj cnojcfo dojnyio c ibezytzwtf gwtkeoid uwn dgdf agr rk c ugimbj pwmv sgtr mgqy ojwjknd gek lgjd imyuu nouzdytv ecpaotz lp icnk c vnwtytv gtgnotodd wu ugrbyj dfwnmgfoi we mfk igmojwtf dkimbn iwyso gsdb ohesgye g ifcevo ye gmzyzzko twmf sctp rgjd ctk iggoi ojoe yt lwf iwmwod nooyiwef zfkwn beotwtf fbyjd oyo zw c ebiz actokswd ugiq wg dmgug dbak lgnmkkaoni dgr mvown dydmwaojd vcjk joioezup rkiwao sbnk fktkjbyi zyaaknd ryz yg vknage myaewev fclymd ikos wtvncwtok mfkp gjk ewm cutcpi bliknnoo gokyev yi c foeoncssp cidoamkk jzsk rym ebm cutgpi gwuubtoo abdm izimbsond acr ak ohznc dgyo skvakm kbfce c ronsye mgqw kjwjkn lyz mvk nzso kwoit m geasp mw ubevkn hwzjtkpi w kbt m mvytm w fgnk rkke fwnke g mwe we rocjd wu kwwtv sr hwl wu dbaobtk isweeok so c gynon w k cddyao mvkp sgok c syizcqo agzmfkt dsyzv pwzfwn d vogk bg ogmg hbyjtcsyia dcwo dwao agr rk dynanyiok rr mvk nonksgzwwe mfgm vknaced cjo hyiz ci symksr cd caonwdctd mb zye ionjwdo tbnqkjd ewm ukgiz lkiczdk iojnwdk gmzwmykkd ye fonacer fgjk ankjywyiur lokt dw rck mvcm mfo vwjkjesoez ukum mfo ekok zb coojkdi wz logwnk mfo dwytznr vbdmok mvo pbjso dye we yzcsr mybygtg eyiwswiy pvw actgfod lyynytw c rgn cto nkdzcyjctm ye iotmncu nwso dgwo zfo dwzemjp dysasr kbkit m vcjk g dzszzjo gwj zwaeytv pk jo ewz symo caonyiged bn mvo lnwzydv tk awfvz ob yz wiigiybegssr lyz yz d twz dwaozvwev zvcz wi kqekdzoo yz yi ngjo zw iok g zya lbq rr zvo mwus ye c rgj wj nkdmgzjcem yt yzcsr pymv ibsk wttkjd koosytf dzdv g kwdesgr yeloibawtv ytizkgo zvor ceenkiwgzk zvo ubpcsmr wu jkfysgj iswkezouo tvb agp bdicdywecssp uognk g swmmuo kqmjc cgmon mfown knyeq bj skcu wt jkiwvewzwwt wu lycuymr ceo donjydo ngmfkj zvce wzz bu bluwvczwwe sctp ymcuygti fwpojkj uogjo zvk ivctvo ggmkn ecrytv c lyus yg c dwguoo dbdmd dotmd zfke g izizbaoj pyuu zdzgusp vwno gek uoz yi qkke mfo dfgefk icwo jwdicnow dbemy g pgymkj ye jwao gwj iwsk izimwskji ukgnytv zfk isguu dvcevk yi iyaeur c agzmkj bu ewz tgemytv mw fgev gjwyto vk gokko aknibecssr ibemw igyo vk rzdmd mfk mjkek wg tbt myaewtv yzguwcti y gstcpd uognk c zwa sgwesr ye lcni cto joimczngemd fk dgwo cokwef ym tgd nknp izrhodzyno ym cus koakeoi bt zvk yekynwozgu yz i g fkimyjk pby ayffz doo abjk gnbs ekwask ye zvo iwzmv tvb cjo vkeknguur awjo pgns gek foeonbzd zvge we zfk twjmf jouonoeio fknagtd roiz mwaaond ye oyjbak uwtkd ewus yzcuygei twz db syiv zvk vygnkwct icm hztk\n",
      "Iter 0 of start 3: vk npmbfkl tz jrrba gi xr bmrzzs bgjn hgziofzvj bcrzgs ogad foo gnp gtbp ve fcfkjp hep abhve vg fwo rpkrkpj bcragbflws tk atavfo avxzopzvpa znhg stv dfcr zt xr wcrejd ic akfktjd zi verpcaghkp tk vzhws enl stvwr sig pmrk lizdpc enre hkp dis bvan gt gvk tj f xvpagtik gdhg dha lppe mpytkn ctjvzicj zt pvmtkr fim hj oied hj krtbop nfcr xppe gchmpooved hmivkp gnp aikztepeg tvzjtrp gdpvc ise atvkzcs tg jrroa pcre rgmtkrhea pte g zeis zdr fejspm hjjimrven zi eps biwwted xs lignim ve jty pg jivezctrj lcvzhve hkp gdp ga snpcp hj otjg ctjtgicj zkis lgz ohl lp mrwvjgheg gt fjzeiewprdp nmfzvvzvra bhs ofyr gk bimp zdhk nhow ltgc ehtgkpmaik j tejtor pvmikrfkj hcp prrkos rvctrpp tk gtkbten ve cpjghgchkga wic ryfbkor tw cpjkteprega ve npmbfes ziwp gnp ktwojzpc gdrl zsktjfwos gvbkrr fobiag zdp jfor fj gnr gj vk zdp gy sdpcp fk tbgviefw armcvap jdhmnr iw flivz vj gjghool vkjwvprr ahtp gnrl orfz f ncfggvzl gnp wtdgcr tk jkftk enpmp jpcctap tj tfgre tkjovrpp te mpjgfvcheg xtwwa lvg rtermj jhk ophmr tkzvikfo zvba efa snvwr te wmfkar snrmp pcpml bmvjp ie h mrazfvchkg orev fwcrhrl veawvrrj fim jpcmtap iw bpibwr aftr gdrs npkpmfwws gvbkrp tk ztk rcpe ve aepppe edrmr gvka hmp drepmfwol etg rybpjgrp zdp wvngcr efa lvz tkws iw vghwtfka jhvp zdrl stgop zsktjhool wrhcp f dchgvtgl fwzrm f bpfw tvg evgd f chzdpc dcpfgpm bmikicgttk fpovggved znps epmrc orfz f jpeg f jzfmzwtkn if mpjkikrpkgj tk zdr vj dtspcrc hkp iw dpmbhkj ls ffm znp oiaz tk rvmikp jtewraarr gnrs sivop gtb jtbpztora ic twzrk pmre tf gnr armctar efj zrmcvxop vkpvahgted znfz wtc jibp gtkbtkd vj eig fxtgg hgfovzs tf jpcmtjr fg hoo gdp wvepteda tw zdp jvmmps etwo atbr fa f avcbcvap te npcohel f atvkzcs gnhg ptra ktg drermhowl gdtez tf tzjrww hj h khgtte iw nhbkl pvazctxvztcj if zmteynpop znp stcr ve h avovofm mrte zi kivmlttcp ve wmread orfka rmvezved otkps kim va npmohks f jivegcs edtjp jrcmvjp agfff hmr khmgvagofcws jgjgtopm wctpepol vk lpmwve f dofaj tf xrpc tc f kohzr if wttr vj tfzre armcrp tk h dvff mfgnrm znhe evgn h jotwp ktg ftm ktzdven tj jpmctjps jgp rpvgjjnwfkr nrmofes vj f apmctap rrapmg h gntkn lpz znr phgf mrforjzj f jwrhm gcper nrcbfka grkp zt dhkp imrm f wre ryzch jtvej tmcpabragvcp iw dts gdrl nhmp xrrk zcrfzpr zdrs fcp znp kfgvte te rgmtkp wrhjg ovzpws zi kig zvk pcpk wtc biic jpmmtjp her zdr otaz etooved gt bhs rugmh wic hmpchdp jpcmvap h aikgvegted fterkpaj wtm jfjd bfl lr h wfazic stzn ofel zfyv pctcrmj fkr xfcj azvww mpwgjven khsbpeg xs ahmr h nmteven fefmpepjj tw wflivc jdtmzfdpa tk zdr afzpcted jrazim atvop foji pukofvk f adhknp vk fzgvggrp etzd ohes lfcj her affpa pcpk ve xtd atztpj mppvatkd gdrtm ikpeted divcj pvp gt h kiag bheprotj wfay tf jzfwf jibr xfmzrrbpma jfl znptm jvjztbpcj nhcr cpapkgws lratbp oimr drerciva gvbbrmj lvg vf nrmbfk zvbktkn dhxvzj arpo tenmhtepr zdrs fcr ktz hwehsa ixarmmpp fprvkn va h dpkpmhoos hajpbzrr cgor lvz kiz hwefsa ftwwiepp bijz agaziopmj bhl br pugmh jfvp ornbrz ridhk h lpmovk zfyt rctcrm xvg znr mgop rtpae z fkbos zt wiknrm utgcersa t rie z znvez t dfmr lrrk dtmrk f ztk tk lphcj tw rtten ol utx tw jibpier aotkkpr op h fvmpm t r hjjvbp znrs ofpr h ovaghyp bfgzdre jovgn stgdtm j npfr if pfzf uivcehovab jhtp jtbp bfl lr jvmbmvapr ll znr mpmrofgttk zdfz nrmbhkj hcp uvag ha ovzrol hj hbpmtjhej zi gvk apmctjp eimyrcj ktz wrfag xrahgjr apcmtjr fzgtzvrrj vk dpmbhkl dfcr bmrcvtvawl xpre jt lhr znhz zdp ntcrckopkg wrwz zdp krpr gi hppcrja tg xpftmr zdp jtvegml nijzpr znp sicop jvk tk vghol zvivfef kvatotav snt bhefdpj xvvmvet h lfm hep mrjghvchez vk apezmhw mtop jftp gdp jtgkzcs jvobol rirae z nhcr f jgoggcp ftc gtbkven sr cp ktg ovzp hbpmvafkj im znp xmtgvjn er btdng pi vg taafavikfool xvg vg j etg jtbpgntkn gnhg ta rykrjgpp vg va mfcp gt apr f gvb xiy ll gnp ztwo vk h lfc tc mrjzfgchkz ve vghol svzn aior teercj rppoved jgjn f rtjkofl vkxpaibten veagrfp gnpl hkkmratfgr gnp wishozl tw crdvofc aotrkgpwp eni bfs ijahjvtkhoos wpfmr f otzzwp ryzch hfzpm zdptm rmvky ic orhw te cratnktgtte tw xvhwvzl hkp jpmcvjp mfzdrc gnhk tgg iw ixwtnhgttk ohes vzhwvfea dtspcrc wpfcp gnr anhenp ffzrm khlven h xvwo vf h jtfwpp jijzj jpezj gdrk f agagibpc svww gjgfwos ntmp fkr wpg va yrrk zdp jdfkdr ahtp ctjahmpt jikzv f sfvzrc vk ctbp ftc ator agaztorca wrfmven gdr aofww jnhknr va avbkwl h bfgzrc iw ktg efkzven zt dfkn fctvep nr fprrp brmaikhool aikzt afvp nr lgjzj zdr zcrkr tf eie zvbkten vgfwthea v foehsj wpfmr h gtb oftkol vk xhma hep cpazhgmfkzj dr jftp hprtkd vz efj mrms aglupjgvmp vz hwo rpbrkpa ie gnr vkrvmtpgfw vg a f drazvcr siv bvddg jpp bicr fmio krtbor vk gnp atgzn eni hcp nrkrmfwwl btcp sfmo fkr dpkpmigj gnfk tk gdr etczd cpwpmpkap drmbfej lpag ztbbpmj vk pvcibr wterj ktwo vghwvfka etg ji ovan gnr nvfmrthe ahz uger\n",
      "Not updating anymore after iteration 36\n",
      "Iter 0 of start 1: ptjlsz jg vthutae zypdpt f sfexoio zfu kjqt ebou kdpeyen\n",
      "Iter 0 of start 2: iqdlfg dk xqpsqjo gairiq t ftobuzu gts edwq oyus erioaoc\n",
      "Iter 0 of start 3: elkshq kz xlnclbt qpegel j hjtraua qjc mkdl tyac mgetptf\n",
      "Not updating anymore after iteration 45\n",
      "Iter 0 of start 1: dhcuah ce dhjisgl hfqcdh v aklgxly dvj mvgh trxj tcgluly\n",
      "Iter 0 of start 2: kipzwi pf kiymech ibgpki j wxhcqhn kjy tjci osqy opchzhn\n",
      "Iter 0 of start 3: nazsma zx naprbjd atizna o mhdjgdk nop foja wcgp wzjdsdk\n",
      "Not updating anymore after iteration 36\n",
      "Iter 0 of start 1: nphnas cx ypqtpyh plyhns o boxmexz ysq eomp tgoq chzhexz\n",
      "Iter 0 of start 2: lmslch ab imqnmis mwislh d pdbugbo ihq gdum nzdq asosgbo\n",
      "Iter 0 of start 3: eovelz uw jocqojv oijvez g rgwytwm jzc tgyo qngc uvmvtwm\n",
      "Not updating anymore after iteration 37\n",
      "Iter 0 of start 1: ljdldj ym rjorjqh jqayvj n lthwnhf rnk jtwj rtno jdabnbs db zte cdnoz du uatbuj px rayylk du rtj tddnem jslemnznybnax uyace ztco dnbwnhs co\n",
      "Iter 0 of start 2: tzdtdz nu jzmjzfc zfgnlz a tqcoacv jar zqoz jqam zdgwaws dw xqb hdamx dp pgqwpz ie jgnntr dp jqz qddabu zstbuaxanwage pnghb xqhm dawoacs hm\n",
      "Iter 0 of start 3: qniqin vs wnpwnlb nluvzn d qrbfdbh wda nrfn wrdp niugdgk ig orm xidpo ie eurgen tj wuvvqa ie wrn riidms nkqmsdodvgduj evuxm orxp idgfdbk xp\n",
      "Not updating anymore after iteration 75\n",
      "Iter 0 of start 1: psfqos fd lrmystz sqtfqr g ogzwoze xgm hgwr ydov ifwzjbe fz bhs ffgmb fz ztgbtr kx ywffqm kz ydr gvojsi scprioyjkzgtx dkwfs bhov vgbijze om\n",
      "Iter 0 of start 2: jugcau gq ltfpuzx uczgct w awxraxk owf ywrt pqas vgrxhek gx eyu ggwfe gx xzwezt do prggcf dx pqt wsahuv unjtvaphdxwzo qdrgu eyas swevhxk af\n",
      "Iter 0 of start 3: eurtxu rs qopjuai utarto k xkibxig nkp hkbo jsxm drbivzg ri zhu rrkpz ri iakzao fn jbrrtp fi jso kmxvud uceodxjvfikan sfbru zhxm mkzdvig xp\n",
      "Not updating anymore after iteration 33\n",
      "Iter 0 of start 1: jhtjcx tl hhvfxrj hddyjh e mejaijb zqi beah fplv gyrjljn yw fpx cyqvf tl lrqwch sf fdyyji tl kax ecmihs xgjxslflywerw lyrnh fali cqjsijb lv\n",
      "Iter 0 of start 2: waswit sg aanvtcw addfwa e uewykwb jok beya vrgn lfcwgwz fh vrt ifonv sg gcohia xv vdffwk sg pyt eiukax tlwtxgvgfhech gfcza vygk iowxkwb gn\n",
      "Iter 0 of start 3: sajsqh jt aawyhes appgsa n mnsocsi bxc inoa yktw rgestsl gd ykh qgxwy jt texdqa zy ypggsc jt voh nqmcaz hrshztytgdned tgela yotc qxszcsi tw\n",
      "Not updating anymore after iteration 58\n",
      "Iter 0 of start 1: apnaip dv ershrxj pxxdmr y ihjtcjg eyu lytp zyqs bnwjcjl nj zpp zdyuz nv vxhjrr wo zxnnau nv zyp yficpk rmaptqzcnjyxo vnxzp zycu fhjkqjg qs ahwh nv zyp rnjrrxzrt ojchrk jyhqnju afhj vdx zpr fctpxhzcnj dv pxwnar lytp qj rdjdojrzqnj eqhp dox lxrhz wxsschj yifqru q pykr hyqs lrssygr vnw\n",
      "Iter 0 of start 2: wqrwjq px ghofhzs qzzpth d jfsylsb gdv ndyq adeo mrkslsn rs aqq apdva rx xzfshh kc azrrwv rx adq dijlqu htwqyealrsdzc xrzaq adlv ifsuesb eo wfkf rx adq hrshhzahy cslfhu sdfersv wifs xpz aqh ilyqzfalrs px qzkrwh ndyq es hpspcshaers gefq pcz nzhfa kzoolfs djiehv e qduh fdeo nhoodbh xrk\n",
      "Iter 0 of start 3: keqkoe px igbdgfr effpvg w odrlcru iwh zwle jwsb aqmrcrz qr jee jpwhj qx xfdrgg mn jfqqkh qx jwe wyocet gvkelsjcqrwfn xqfje jwch ydrtsru sb kdmd qx jwe gqrggfjgl nrcdgt rwdsqrh kydr xpf jeg yclefdjcqr px efmqkg zwle sr gprpnrgjsqr isde pnf zfgdj mfbbcdr woysgh s ewtg dwsb zgbbwug xqm\n",
      "Not updating anymore after iteration 55\n",
      "Iter 0 of start 1: homhgo dl fiyiixp ofxmdi n ghekepr zny vhwi yxwy vdgewer mp yxo umnyy mz lghpai lc ixmddy ml ixi ntgwow ivdiweyedpnxc zdgao ixwn gneweer wy dhxi dl ixo ampaixiow fpeyiw ehyeden hgne ldg ymi gejogniwde ml iogdhi vhko ep umeqfeuyeme feix dog rgihi goyyene hggwin e xhbi ixwn jiyyhri lmg\n",
      "Iter 0 of start 2: napnfa yu wshssmr awmpys k fnczcrg jkh enqs hmqh eyfcqcg pr hma vpkhh pj ufnrls ux smpyyh pu sms kbfqaq seysqchcyrkmx jyfla smqk fkcqccg qh ynms yu sma lprlsmsaq wrchsq cnhcyck nfkc uyf hps fcdafksqyc pu safyns enza cr vpcowcvhcpc wcsm yaf gfsns fahhckc nffqsk c mnis smqk dshhngs upf\n",
      "Iter 0 of start 3: ileigl qy fsjsshn lfheqs c girzrnp xcj uims jhmj uqgrmrp en jhl aecjj ex ygints yb sheqqj ey shs cdgmlm suqsmrjrqnchb xqgtl shmc gcrmrrp mj qihs qy shl tentshslm fnrjsm rijrqrc igcr yqg jes grolgcsmqr ey slgqis uizl rn aerwfrajrer frsh qlg pgsis gljjrcr iggmsc r hiks shmc osjjips yeg\n",
      "Not updating anymore after iteration 35\n",
      "Iter 0 of start 1: grbgvr al lrnprzo runafr j vjxkxoq ouc mjkf gsxn dazoxxt bx psr kbucg al lzjokf de pnaagn ah gsr jvvmrj fwffkxpxbojze lbzaf gsmc vjojxot xn fjng bh gsf kaxafnpfk uomgrk xjgxbxn gvjo lbz gsr vmzrnjpxax ah ryzagf djkr xx aaxtyokgxbo oxgs ayn tzfug zyccxjx uvvmrn m supr gsmc mfccuqf haz\n",
      "Iter 0 of start 2: iqdiuq gt tqrsqnf qlrghq v uvjbjfc flm evbh iojr agnfjjx dj soq bdlmi gt tnvfbh az srggir gp ioq vuueqv hkhhbjsjdfvnz tdngh ioem uvfvjfx jr hvri dp ioh bgjghrshb lfeiqb jvijdjr iuvf tdn ioq uenqrvsjgj gp qyngih avbq jj ggjxyfbijdf fjio gyr xnhli nymmjvj luueqr e olsq ioem ehmmlch pgn\n",
      "Iter 0 of start 3: yzvyqz le ezorzdf zaoluz p qpwxwfj fag tpxu yhwo kldfwwi vw rhz xvagy le edpfxu km rollyo lb yhz pqqtzp ucuuxwrwvfpdm evdlu yhtg qpfpwfi wo upoy vb yhu xlwluorux aftyzx wpywvwo yqpf evd yhz qtdzoprwlw lb zsdlyu kpxz ww llwisfxywvf fwyh lso iduay dsggwpw aqqtzo t harz yhtg tuggaju bld\n",
      "Not updating anymore after iteration 65\n",
      "Iter 0 of start 1: mayfca mx uahevsq vodmmv h dslwllr usq cswv oeyq wmslyqr mq oea pyhho mx udsqpa fk odmymq yx ebv hcdlvr vjmvryolmqssk umspa oelq dslwylv yq msso mu oea pylpadovw olyovw lsoymlq fdsl xys oea dlzvsheyml yx vbdmmv wswv yl pmqjbqpeymq uyee mbs rdase sbqqyhq hcdlvq y ehiv eelh wvqqhvv umd hdc mu kyo sceeybre oev lqlolhd sqhsode chk lye esia zvvq cswa ll kmod yul pyolosk obv embd yx kmos clzashoymq lh hffdyhpelqv scd msodyyoq wvq sqw tycvl kmblv slr mcr bhia s fhdo ey fdsk yq oea hpbyaivcvqo yx ulqsc ilpomsk em cvwzasq mu dvqyqesqpv wyiawvqoq y qsk xyccmt\n",
      "Iter 0 of start 2: fvuitv fq ovmylra lgkffl m krbwbbn ora trwl gyua wfrbuan fa gyv dummg fq okradv ip gkfufa uq yjl mtkbln lxflnugbfarrp ofrdv gyba krbwubl ua frrg fo gyv dubdvkglw gbuglw brgufba ikrb qur gyv kbhlrmyufb uq ljkffl wrwl ub dfaxjadyufa ouyy fjr nkvry rjaauma mtkbla u ymcl yybm wlaamll ofk mkt fo pug rtyyujny gyl babgbmk ramrgky tmp buy yrcv hlla trwv bb pfgk uob dugbgrp gjl yfjk uq pfgr tbhvrmgufa bm miikumdybal rtk frgkuuga wla raw eutlb pfjbl rbn ftn jmcv r imkg yu ikrp ua gyv mdjuvcltlag uq obart cbdgfrp yf tlwhvra fo klauayradl wucvwlaga u arp quttfe\n",
      "Iter 0 of start 3: qcdoac qw lcfkbhv bmuqqb f uhsnsse lhv ahnb mkdv nqhsdve qv mkc gdffm qw luhvgc ot muqdqv dw kzb fausbe brqbedmsqvhht lqhgc mksv uhsndsb dv qhhm ql mkc gdsgcumbn msdmbn shmdqsv ouhs wdh mkc uspbhfkdqs dw bzuqqb nhnb ds gqvrzvgkdqv ldkk qzh euchk hzvvdfv fausbv d kfjb kksf nbvvfbb lqu fua ql tdm hakkdzek mkb svsmsfu hvfhmuk aft sdk khjc pbbv ahnc ss tqmu dls gdmsmht mzb kqzu dw tqmh aspchfmdqv sf fooudfgksvb hau qhmuddmv nbv hvn ydabs tqzsb hse qae zfjc h ofum kd ouht dv mkc fgzdcjbabvm dw lsvha jsgmqht kq abnpchv ql ubvdvkhvgb ndjcnbvmv d vht wdaaqy\n",
      "Not updating anymore after iteration 62\n",
      "Iter 0 of start 1: crkmrr ke grdwojq rsppcr c rwqxvqh xwf hcxo vlzd hkjlvqh kl vlr bpcdv ke ejwljo yd vpppcf pe wlo crgvrx okcrxvvvplcpf ekjbr wtzf gwltzln zd ccpv ke vlr bpqjrjwot qlzvox lwvzpqf crcl ekj wlo gzsrjwwvkq ke rqpkmr mwxo vq jkqaqlbvzkl xvwl ksj nprcw jqdfvcq cggvof z twyo vlvd mrfdchr ekj crr ke fks crvlkqhl vtr zqzwvwr wfdwsrw hwd lkw twoo srol hcto zq dpqj kxq jkqlvpd vlr tpsp pe dksj gvsrjwwvpl vf cmmpkwjlvqn wgg mwwpvpvf hrq wqt gphrq dpqqh wlt pgt twoo c cwpw vp cgwf zq vlo cbtzoyomrqv ke ezlcg yvbwkjf wk mrmyrpd ke prfvdvwqbr mpyrhrqvf v fcf ekgrpg\n",
      "Iter 0 of start 2: rsbtss bz dscohpi saeers r soivkin vol nrvh kxuc nbpxkin bx kxs werck bz zpoxph fc keeerl ez oxh rsdksv hbrsvkkkexrel zbpws omul doxmuxq uc rrek bz kxs weipspohm ixukhv xokueil rsrx zbp oxh duaspookbi bz siebts tovh ki pbijixwkubx vkox bap qesro piclkri rddkhl u mofh kxkc tslcrns zbp rss bz lba rskxbinx kms uiuokos olcoaso noc xbo mohh ashx nrmh ui ceip bvi pbixkec kxs meae ez cbap dkaspookex kl rttebopxkiq odd tooekekl nsi oim densi ceiin oxm edm mohh r roeo ke rdol ui kxh rwmuhfhtsik bz zuxrd fkwobpl ob tstfsec bz eslkckoiws tefsnsikl k lrl zbdsed\n",
      "Iter 0 of start 3: uawjaa wg ratsfnx aqmmua u asxvoxz vsy zuvf oedt zwneoxz we oea hmuto wg gnsenf pt ommmuy mg sef uaroav fwuavooomeumy gwnha sbdy rsebdek dt uumo wg oea hmxnansfb xedofv esodmxy uaue gwn sef rdqanssowx wg axmwja jsvf ox nwxlxehodwe vose wqn kmaus nxtyoux urrofy d bspf oeot jaytuza gwn uaa wg ywq uaoewxze oba dxdsosa sytsqas zst ews bsff qafe zubf dx tmxn wvx nwxeomt oea bmqm mg twqn roqanssome oy ujjmwsneoxk srr jssmomoy zax sxb rmzax tmxxz seb mrb bsff u usms om ursy dx oef uhbdfpfjaxo wg gdeur pohswny sw jajpamt wg mayotosxha jmpazaxoy o yuy gwramr\n",
      "Not updating anymore after iteration 74\n",
      "Iter 0 of start 1: gtpzpt gr mrbmtsw risggr o youadwc mob bdat mjdb xpkwduc gw mit qpdhu gv rsowqr jf mkppzb pv uit dypdta rlzradmepuokf rgsqr ujdb pduaeuc dh zosu gr uit qgwqrsura nweuta udmdpwh zpdw vpk ujr yekrsoudgw pr tisggt boat du eguhnuqmegu sdmi gik okrom kibbdou dypdth d jdct uidh xrbhdct rps dyp pr fpn dyuignci mir dwdudoy ohhonpm xof upu joqr kttw boat ew fpis gmu epiuukf mjr igns pv fgis yektsouepu eh dgzspdeiewo dpp gdusepuh brw oua spxtu fgnwc owa gpa ioct d zdku ug zydf eu mjr dqjetctxtwu pr rduoy ceeupsf mp xtbjtkb pr krhehmowet bgqtbtumb d hdf rppygs\n",
      "Iter 0 of start 2: lwqtqw lr srbswjk ryjllr p hpicukd spb bucw smub xqakuid lk syw zquei lo rjpkzr mg saqqtb qo iyw uhquwc rftrcusnqipag rljzr imub quicnid ue tpji lr iyw zlkzrjirc vkniwc iusuqke tquk oqa imr hnarjpiulk qr wyjllw bpcw ui nlievizsnli jusy lya parps aybbupi uhquwe u mudw iyue xrbeudw rqj uhq qr gqv uhiylvdy syr ukuiuph peepvqs xpg iqi mpzr awwk bpcw nk gqyj lsi nqyiiag smr ylvj qo glyj hnawjpinqi ne ultjqunynkp uqq luijnqie brk pic jqxwi glvkd pkc lqc ypdw u tuai il thug ni smr uzmnwdwxwki qr ruiph dnniqjg sq xwbmwab qr arenespknw blzwbwisb u eug rqqhlj\n",
      "Iter 0 of start 3: nhcqch ni yiwyhku ijknni v mvetaub yvw wath yxaw dcguaeb nu yjh pcaze nf ikvupi xl ygccqw cf ejh amcaht ioqitayscevgl inkpi exaw caetseb az qvke ni ejh pnupikeit ruseht eayacuz qcau fcg exi msgikveanu ci hjknnh wvth ae snezrepysne kayj njg vgivy gjwwave amcahz a xabh ejaz diwzabh ick amc ci lcr amejnrbj yji auaeavm vzzvrcy dvl ece xvpi ghhu wvth su lcjk nye scjeegl yxi jnrk cf lnjk msghkvesce sz anqkcasjsuv acc naekscez wiu vet kcdhe lnrub vut nct jvbh a qage en qmal se yxi apxshbhdhue ci iaevm bsseckl yc dhwxhgw ci gizszyvush wnphwheyw a zal iccmnk\n",
      "Not updating anymore after iteration 29\n",
      "Iter 0 of start 1: aqumdi eb rqtoigp idgemi m xmpkzpb rsh tmzi wlyh tegpypb up olq vumto el bxmpfi hi oxueat eb ocq sxdzik qnmikzwzepmgf begfq wlzt xspkypb zh mmxw ub wcq vupvigoiz dpzwqk pmoyupt adsp lux wci xykixmwzep ul ioxeaq tskq zp vepydpfwyep vyoc uox bgqsw gdhtzsp sxxzqt z lsgq olyh tihhsjq leg mdd eb feo mxocedjc wcq ypyoymx shhsoxo tmi puw cmji kqip qmzi yp fudg evp fudpwgf olq ceox ub iuog dykigmwzup zt mamgumvcypj sxd mmwgyeot tip mpk vetqp ieopb mpz edk lmjq m asxo oe adsf zp wcq svczijiqipo el lzpmd gzvoegf wu tqqkixh ul xitzhospfi tujitipoh z tmi lexduv wcq yphogdfozupt fed lsji gqfqygik ou mmwgyewt rlu sxi puo qqqhixh ub egjmpzeiz gqtyhwspvq bxudah z tsi vupozpoi feox amhtzji xihytwspfq hdo zu puw pqqkxithxf qpkspbqx fedx xygih opozx y bzgq iud wlq tzbpmd oe xzhq mpz twxyri wci ipiqi wli ksf vyxx vuqi vcqp y hcsdd pqik iuog opywqz twgipjol dpoyx olsw kmi y fsxd ep ied beg olq lmxk oshr ub kzhvyaxypq mpk gqhoxmzpo fzwzwqpt ub lxmpfi z mq mgudk oe csgq mbmzp opkix tf fuqqmpk olq bsddmpw buxfqh eb bgmpvi lzjlwypb hqtzzq ocqzx mddzit olii vyxd adsi s vuxwlf amxo yp wci dykigmozep ub ociyg cutqdmpz kivsdti olq zpzwzmd xspkzpj cmh hqip qmkq up olq huzx ul iudx fudpwgf z xqmimo we ieo rzwl qgqp bxqswqx itmlshyh qi tittmji wu olq aiemdit el uwcix uvvdayqz fuopwxzqh yp vqtwigp qogumi budxer wlq yphogofwyuph ul fuox xqszixh m mxqtswdxq dmxyhypj el sdx lgipvlqip tmf agqgqpw fud lxut kqypj eb\n",
      "Iter 0 of start 2: epuajy sk lphnyit yjisay a vatcftk lom hafy zxrm hsitrtk ut nxp guahn sx kvatwy my nvuseh sk nbp ovjfyc pqaycfzfstaiw ksiwp zxfh votcrtk fm aavz uk zbp gutgyinyf jtfzpc tanruth ejot xuv zby vrcyvazfst ux ynvsep hocp ft gstrjtwzrst grnb unv kipoz ijmhfot ovvfph f xoip nxrm hymmodp xsi ajj sk wsn avnbsjdb zbp rtrnrav ommonvn hay tuz bady cpyt pafy rt wuji sgt wujtziw nxp bsnv uk yuni jrcyiazfut fh aeaiuagbrtd ovj aazirsnh hyt atc gshpt ysntk atf sjc xadp a eovn ns ejow ft zbp ogbfydypytn sx xftaj ifgnsiw zu hppcyvm ux vyhfmnotwy hudyhytnm f hay xsvjug zbp rtmnijwnfuth wsj xody ipwpriyc nu aazirszh lxu ovy tun pppmyvm uk sidatfsyf iphrmzotgp kvujem f hoy gutnftny wsnv eamhfdy vymrhzotwp mjn fu tuz tppcvyhmvw ptcotkpv wsjv vriym ntnfv r kfip yuj zxp hfktaj ns vfmp atf hzvrly zby ytypy zxy cow grvv gupy gbpt r mbojj tpyc yuni ntrzpf hziytdnx jtnrv nxoz cay r wovj st ysj ksi nxp xavc noml uk cfmgrevrtp atc ipmnvaftn wfzfzpth uk xvatwy f ap aiujc ns boip akaft ntcyv hw wuppatc nxp kojjatz kuvwpm sk kiatgy xfdxzrtk mphffp nbpfv ajjfyh nxyy grvj ejoy o guvzxw eavn rt zby jrcyianfst uk nbyri buhpjatf cygojhy nxp ftfzfaj votcftd bam mpyt pacp ut nxp mufv ux yujv wujtziw f vpayan zs ysn lfzx pipt kvpozpv yhaxomrm py hyhhady zu nxp eysajyh sx uzbyv uggjerpf wuntzvfpm rt gphzyit pniuay kujvsl zxp rtmninwzrutm ux wunv vpofyvm a avphozjvp javrmrtd sx ojv xiytgxpyt haw eipiptz wuj xvuh cprtd sk\n",
      "Iter 0 of start 3: oenuts fb zeiwsal stafus u dulrclb zpq iucs jmvq ifalvlb nl wme knuiw fm bdulgs qs wdnfoi fb wxe pdtcsr eyusrcjcfluag bfage jmci dplrvlb cq uudj nb jxe knlksawsc tlcjer luwvnli otpl mnd jxs dvrsdujcfl nm swdfoe ipre cl kflvtlgjvfl kvwx nwd baepj atqicpl pddcei c mpae wmvq isqqphe mfa utt fb gfw udwxfthx jxe vlvwvud pqqpwdw ius lnj xuhs resl eucs vl gnta fkl gntljag wme xfwd nb snwa tvrsaujcnl ci uouanukxvlh pdt uujavfwi isl ulr kfiel sfwlb ulc ftr muhe u opdw wf otpg cl jxe pkxcshseslw fm mclut ackwfag jn ieersdq nm dsicqwplgs inhsislwq c ius mfdtnk jxe vlqwatgwcnli gft mphs aegevasr wn uujavfji zmn pds lnw eeeqsdq nb fahulcfsc aeivqjplke bdntoq c ips knlwclws gfwd ouqichs dsqvijplge qtw cn lnj leerdsiqdg elrplbed gftd dvasq wlwcd v bcae snt jme icblut wf dcqe ulc ijdvzs jxs slses jms rpg kvdd knes kxel v qxptt lesr snwa wlvjec ijaslhwm tlwvd wmpj rus v gpdt fl sft bfa wme mudr wpqz nb rcqkvodvle ulr aeqwduclw gcjcjeli nb mdulgs c ue uantr wf xpae ubucl wlrsd ig gneeulr wme bpttulj bndgeq fb baulks mchmjvlb qeicce wxecd uttcsi wmss kvdt otps p kndjmg oudw vl jxs tvrsauwcfl nb wxsva xnietulc rskptis wme clcjcut dplrclh xuq qesl eure nl wme qncd nm sntd gntljag c deusuw jf sfw zcjm eael bdepjed siumpqvq es isiiuhs jn wme osfutsi fm njxsd nkktovec gnwljdceq vl keijsal ewanus bntdfz jme vlqwawgjvnlq nm gnwd depcsdq u udeipjtde tudvqvlh fm ptd maslkmesl iug oaeaelj gnt mdni revlh fb\n",
      "Not updating anymore after iteration 54\n",
      "Iter 0 of start 1: ihxitk xe rkemkkd hskxih o todwlgm xcb powk mslb pyqdjgz yg ush lycbm yn nqoglk vc ukyxib ye urh ottjkv khdkwjujydckc nykah mrje wcgwjgm je dckm xe msh lyglkkmkv sdlmhv domlxde itcg exq msh tlfkkcujxg xn knkydh powh jd aygfsgaujyd rlmr xnq mqkcu qseblog cwtjhb j rcbh usle ikeeozh eyk ctt yn oys ctmsxnzr urh ldlulct obboswm pcc dxm scqh fkhd icvh lg cynq xxd ayndmqo urh sxsk xe oysk wjvkkcujxg jb cidqxolslgm otw doukjyme pkg odv xxihd cyngm cdv ytw scbk o doqu ux dwco jd usk oarlhqhikgu yn nldot bjauxqo uy pkifkkb ye qkejeucdlh iyqkikdub l eoo exwwyx mrk jdbmqnlmjydb cxn sobk qklklbhv mx icmqjxmb xsy cqk dxu pkifhke xn xkzodlgkv kkelbmodlk zqysib l boc aygujgnh cxsq iceejbk qkbjeucdah fsm wx gym dhhwtheewc hdwcdzkk cynk wlbhb ngult l zjbh cys urk elzgcw mx qjek cgv bmklth msh kdkpo mrh vcc rltw ayih xrkg j ercwt ghkw cxnk sglukv emqkdzms sgmjt msou vcc l lcwt yg cyn nyq urk sckv moea xn wjbljiwlgk cdw qkbmkcjdm ljmljhde xe nkodah j oi iqysw my soqh czclg sgwkk po lxpiogw urh mctwogm eyqake xe nkcdlk ejzruldz vkejvk usklq ottjhb msho xjwt dtoc c rxkurc ioku jd msk tlfhqomlxg ye ushjq sxpkwogw fhacnek usk ldjulct tcdvjdz rcb vhhd pcwh yd ush bxlw xn oysq aynguqo l qkdhom ux oyn xlur hqkd zqhcukk kpisoelb pc ikbbomh uy usk ikydtkb xe ymskk yllnijkv lysdukjkb jd rhbukqg hnkxih exttyx msh ldeuknlujxde xe cysq wkovkqe o dqhpomsqk sdqjejdm xn ott nkhdasphg ioo dkkqkgm oyn nkxi fhjgz xn\n",
      "Iter 0 of start 2: pqgpin gj znjlnnk qsngpq c ickbarl gho ycbn lsao ywdkeru wr fsq awhol wt tdcran mh fnwgpo wj fzq ciienm nqknbefewkhnh twnvq lzej bhrberl ej khnl gj lsq awrannlnm skalqm kclagkj pihr jgd lsq iaxnnhfegr gt ntnwkq ycbq ek vwrxsrvfewk zalz gtd ldnhf dsjoacr hbieqo e zhoq fsaj pnjjcuq jwn hii wt cws hilsgtuz fzq akafahi coocsbl yhh kgl shdq xnqk phmq ar hwtd ggk vwtkldc fzq sgsn gj cwsn bemnnhfegr eo hpkdgcasarl cib kcfnewlj ynr ckm ggpqk hwtrl hkm wib shon c kcdf fg kbhc ek fsn cvzaqdqpnrf wt takci oevfgdc fw ynpxnno wj dnjejfhkaq pwdnpnkfo a jcc jgbbwg lzn ekoldtalewko hgt scon dnanaoqm lg phldeglo gsw hdn kgf ynpxqnj gt gnuckarnm nnjaolckan udwspo a och vwrfertq hgsd phjjeon dnoejfhkvq xsl bg rwl kqqbiqjjbh qkbhkunn hwtn baoqo trfai a ueoq hws fzn jaurhb lg dejn hrm olnaiq lsq nknyc lzq mhh zaib vwpq gznr e jzhbi rqnb hgtn srafnm jldnkuls srlei lscf mhh a ahbi wr hwt twd fzn shnm lcjv gt beoaepbarn hkb dnolnhekl aelaeqkj gj tnckvq e cp pdwsb lw scdq huhar srbnn yc agypcrb fzq lhibcrl jwdvnj gj tnhkan jeuzfaku mnjemn fsnad ciieqo lsqc gebi kich h zgnfzh pcnf ek lsn iaxqdclagr wj fsqed sgynbcrb xqvhtjn fsn akefahi ihkmeku zho mqqk yhbq wk fsq ogab gt cwsd vwtrfdc a dnkqcl fg cwt gafz qdnk udqhfnn nypscjao yh pnooclq fw fsn pnwkino gj wlsnn waatpenm awskfneno ek zqofndr qtngpq jgiiwg lsq akjfntafegkj gj hwsd bncmndj c kdqyclsdn skdejekl gt cii tnqkvsyqr pcc knndnrl cwt tngp xqeru gt\n",
      "Iter 0 of start 3: fgnfre nd pedseej gyenfg t rtjxlis nqv otxe sylv obujhiz bi cyg lbqvs bw wutile kq cebnfv bd cpg trrhek egjexhchbjqeq wbemg sphd xqixhis hd jqes nd syg lbileesek yjlsgk jtslnjd frqi dnu syg rlaeeqchni nw ewebjg otxg hj mbiayimchbj plsp nwu sueqc uydvlti qxrhgv h pqvg cyld feddtzg dbe qrr bw tby qrsynwzp cpg ljlclqr tvvtyxs oqq jns yqug aegj fqkg li qbwu nnj mbwjsut cpg ynye nd tbye xhkeeqchni hv qfjuntlylis trx jtcehbsd oei tjk nnfgj qbwis qjk brx yqve t jtuc cn jxqt hj cye tmplgugfeic bw wljtr vhmcnut cb oefaeev bd uedhdcqjlg fbuefejcv l dtt dnxxbn spe hjvsuwlshbjv qnw ytve uelelvgk sn fqsuhnsv nyb que jnc oefaged nw neztjliek eedlvstjle zubyfv l vtq mbichiwg qnyu fqddhve uevhdcqjmg ays xn ibs jggxrgddxq gjxqjzee qbwe xlvgv wiclr l zhvg qby cpe dlziqx sn uhde qik vselrg syg ejeot spg kqq plrx mbfg npei h dpqxr igex qnwe yilcek dsuejzsy yishr sytc kqq l lqxr bi qbw wbu cpe yqek stdm nw xhvlhfxlie qjx uevseqhjs lhslhgjd nd wetjmg h tf fubyx sb ytug qzqli yixee ot lnoftix cpg sqrxtis dbumed nd weqjle dhzpcljz kedhke cyelu trrhgv sygt nhxr jrtq q pnecpq ftec hj sye rlagutslni bd cyghu ynoextix agmqwde cye ljhclqr rqjkhjz pqv kggj oqxg bj cyg vnlx nw tbyu mbwicut l uejgts cn tbw nlcp guej zugqcee eofytdlv oq fevvtsg cb cye febjrev nd bsyee bllwfhek lbyjcehev hj pgvceui gwenfg dnrrbn syg ljdcewlchnjd nd qbyu xetkeud t jugotsyue yjuhdhjs nw trr wegjmyogi ftt jeeueis tbw wenf aghiz nw\n",
      "Iter 0 of start 1: qbdycl lz sbjqlog lvplql d cursxrm sdj wdtl cfxk wlogxrm dr qtb vlujc ln npdrvl uy qodlqj dn qtb ucoxls bgqltxcxlrdpa zlpal ctxk odrsxgm xk yuoc ln ctb vlralocls vrxqls rucxdrj qodg nlp qtl cxubodcxlg ln bnodqb wutb xr vdgpnrvcxdr jxqf dvo mobdq pnjjxug dcoxlj x fuhb cfxj wbkjumb zdp uoc ln ydv ucqtlnmf qtb xgxcxuo ukkdvoq wua rlq tdhb hbbr wusl xg adnp lsr alvgqpa qfl tlno dn advp oxhlodcxdr xk dyqpldatxgm uco qucoxdqj wbg drs sdwlr alvgm ugt dcs fdil d ydpq cd qody xg ctl uafxbhbwbgc dz zxrdo hxvqdoa cl wbwhlpj dz objxkqugab wlhlwlrcj x kdy zlocds cfb xrjqpnvcxlrk ydn fuil obalxhls qd qucpxdqk jtl uob rlq wlwhbpj ln lomugxels olkxjcdgvl mplvqk x jda vdgqxgvl ydnp yujkxil olkxjcugal hvc td rdc gbbtobjkcy bgsdgmbp ydnp cxhlj vrcxc x mxhl aln ctb jxmguc cd oxkb ugs jcpxzb cfl lrlwa ctl tua sxoc vdwl stlr x jfdoo rbbt alno nrxclt jqolgmct ngqxc qfuc sda x aucc lg aln zdp cfl tups qdke ln txjaxqcxgl dgt pbjqpuxrq axcxkbgk dz nougvb x uw qpdvt ql fuib umuxg vrtbo wa vlwwurt qfl muccurc zdpvbk ln npdrvl nxmfcxgm hljxsb qflxo dcoxlk ctly sxcc ycda d slpcfa quoq xg qfb oxubouqxlg ln qfbxo flwbourt hbvdvkb cfl xrxcxdc cugsxrm fdk ullg wusl lg qfb kdxo dz ylno alngcoa x pbyluc cd ylv sxqf lhlr mobdqlo bwqfdkxk wy wljjdml cd cfb ybdyclk ln lctbo lvvnyxbs vdnrcoxbk xg jljcbpg bnolyb ndools qtb xgkcpnacxdgj dz alno olusboj d qplwdqnob vqpxjxrm ln uco zolrafwlr wda qpbibgc ylv zpdw hbxgm dn\n",
      "Iter 0 of start 2: hpkwze ea fpqhevx erdehe k zbyflyg fkq ikse zmlo ievxlyg ky hsp rebqz et tdkyre bw hvkehq kt hsp bzvlef pxheslzleykdc aedce zslo vkyflxg lo wbvz et zsp reycevzef rylhef ybzlkyq hvkx ted hse zlbpvkzlex et ptvkhp ibsp ly rkxdtyrzlky qlhm krv gvpkh dtqqlbx kzvleq l mbjp zmlq ipoqbgp akd bvz et wkr bzhsetgm hsp lxlzlbv bookrvh ibc yeh skjp jppy ibfe lx cktd efy cerxhdc hme setv kt ckrd vljevkzlky lo kwhdekcslxg bzv hbzvlkhq ipx kyf fkiey cerxg bxs kzf mkne k wkdh zk hvkw lx zse bcmlpjpipxz ka alykv jlrhkvc ze ipijedq ka vpqlohbxcp iejeieyzq l okw aevzkf zmp lyqhdtrzleyo wkt mbne vpceljef hk hbzdlkho qse bvp yeh ieijpdq et evgbxluef veolqzkxre gderho l qkc rkxhlxre wktd wbqolne veolqzbxce jrz sk ykz xppsvpqozw pxfkxgpd wktd zljeq ryzlz l glje cet zsp qlgxbz zk vlop bxf qzdlap zme eyeic zse sbc flvz rkie fsey l qmkvv ypps cetv tylzes qhvexgzs txhlz hmbz fkc l cbzz ex cet akd zme sbdf hkou et slqclhzlxe kxs dpqhdblyh clzlopxo ka tvbxrp l bi hdkrs he mbnp bgblx ryspv ic reiibys hme gbzzbyz akdrpo et tdkyre tlgmzlxg jeqlfp hmelv kzvleo zsew flzz wzkc k fedzmc hbvh lx hmp vlbpvbhlex et hmplv meipvbys jprkrop zme lylzlkz zbxflyg mko beex ibfe ex hmp oklv ka wetv cetxzvc l dpwebz zk wer flhm ejey gvpkhev pihmkolo iw ieqqkge zk zmp wpkwzeo et ezspv errtwlpf rktyzvlpo lx qeqzpdx ptvewp tkvvef hsp lxozdtczlkxq ka cetv vebfpvq k hdeikhtvp rhdlqlyg et bzv aveycmiey ikc hdpnpxz wer adki jplxg kt\n",
      "Iter 0 of start 3: bofcjq qx todbqwp qhgqbq f jrltels tfd zfvq jyei zqwpels fl bvo hqrdj qn ngflhq rc bwfqbd fn bvo rjweqt opbqvejeqlfgu xqguq jvei wflteps ei crwj qn jvo hqluqwjqt hlebqt lrjefld bwfp nqg bvq jerowfjeqp qn onwfbo zrvo el hfpgnlhjefl deby fhw swofb gndderp fjweqd e yrmo jyed zoidrso xfg rwj qn cfh rjbvqnsy bvo epejerw riifhwb zru lqb vfmo mool zrtq ep ufng qtl uqhpbgu byq vqnw fn ufhg wemqwfjefl ei fcbgqfuveps rjw brjwefbd zop flt tfzql uqhps rpv fjt yfkq f cfgb jf bwfc ep jvq ruyeomozopj fx xelfw mehbfwu jq zozmqgd fx wodeibrpuo zqmqzqljd e ifc xqwjft jyo eldbgnhjeqli cfn yrkq wouqemqt bf brjgefbi dvq rwo lqb zqzmogd qn qwsrpeaqt wqiedjfphq sgqhbi e dfu hfpbephq cfng crdiekq wqiedjrpuq mhj vf lfj poovwodijc optfpsog cfng jemqd hljej e semq uqn jvo desprj jf weio rpt djgexo jyq qlqzu jvq vru tewj hfzq tvql e dyfww loov uqnw nlejqv dbwqpsjv npbej byrj tfu e urjj qp uqn xfg jyq vrgt bfia qn veduebjepq fpv godbgrelb uejeiopi fx nwrpho e rz bgfhv bq yrko rsrep hlvow zu hqzzrlv byq srjjrlj xfghoi qn ngflhq nesyjeps mqdeto byqew fjweqi jvqc tejj cjfu f tqgjyu brwb ep byo werowrbeqp qn byoew yqzowrlv mohfhio jyq elejefj jrptels yfi rqqp zrtq qp byo ifew fx cqnw uqnpjwu e gocqrj jf cqh teby qmql swofbqw ozbyfiei zc zqddfsq jf jyo cofcjqi qn qjvow qhhnceot hfnljweoi ep dqdjogp onwqco nfwwqt bvo epijgnujefpd fx uqnw wqrtowd f bgqzfbnwo hbgedels qn rjw xwqluyzql zfu bgokopj cqh xgfz moeps fn\n",
      "Not updating anymore after iteration 44\n",
      "Iter 0 of start 1: kfvhad ui gdondra dqcvhf t axalpao zto qtwf shpo qvrajao ua nhd rvxbs vi irxbnf mm nruuhb vi nhf tacjdl dehdwjsjubtcl iucnd ndpb cxaljbo jb kxcs vi sdd nvbndcsfw qbpsdl axspvao kaxb ivc nhf cpkdrtnpvb vi fecuhf qxwd jb nvawqbnsjva zjnh uqc prdxn reboptb xacpdo j htjf sdpo qfobtpd iuc tca vi lue tcnhveph nhf jbjnpta xbbxqan qtm bvn dxyd kfdb gtwf pa lvec vgb ruqbsrm ndd huec vi lvqc apkdrxsjvb jb xhkrvxnhpbp tac kxsrpunb gfa tbw zvgfb lueao xal vcl dxjd t kxrn sv kaxl pa nhf tndjdydqdbs vi ipbxa ypnsvrm su gfgmfcb vi rfojostand quyfgdano j oxl ivaauz ndd jabnrqrspubo lue hxyf cfrdjyfl nu htsrjvso gdv tcf aun gdgkdrb ui vroxapsdl rdoponxarf orvqko j bxm nuanjaef muqc hxbbpjd rfbjostbrf mqs lv avs addlcfbbcm fbwxbofr mver cjjdo qbspa j pjjd luq nhd bjpbxa nu rjbd tbl oscjyd ndf fbdgm ndd wxm gjac nugf zhfa j bdtca bffl luec qbpndw bscfbpsh qbspa ndtn lxm p nxcc ua lve ivr nhd hxrw sxby ui ljbnjhcjbf xal cfbnrtpbs npnpvfao vi irxbnf p tg hcvel su dxyf xpxja ebwfc gl nugqtal nhd oxaaxas ivrrdo vi irtard ijpdspbo mdbpwf nhfpr tccpfb shfl gjac hcxl x zvrndm hxcn ja sdd ajmdcxsjub ui sdfjc duqdaxbl mfrxqod sdd pbpsjxc atalpbp htb kddb qtlf ua nhf buja vi mvqr ruqanrl j cfkfxs nv lvq zpsh fjfa ocdtndr fqkhtbpb qm qfootpd nu shf kdukadb vi usddr unrqhpfw nueancpfo pa gdbsdcb fqrukd iuaaug sdd pbbscqrnpvab vi lvqr aftlfcb x kcdgxnecf ekcpbpbo vi tac irdandgfa gtm hcdjdan mvq irug mdpbp ui qxujqqq hfck sv lvqc nvebscm pb sdf rrpnjrta hver kf ktsjdbn hcfkxcf tb oehcfqf rvqgxblfr vi sdd tacjdl duhflpsjvbxrm iurnd sddrd jo pqkubdl va gf nhd lqsm xbl cfohubbpkjajsl ui sxfjao xca gdtbqcdb bfnfbbtrm nu shd hcubdrenpvb vi sdd gtr kcvghn xal gpcapap umdwpfanf su nhf ucldro ndtn p bdtca jooqd jo fbbdaspxc diidrspjd rjyjc tlgpaponcxnpub ui irxbnf qqbs kd hrujjwfl mm icfanhgda xca hdrbvbb geon nubnjaqf pa sdfjr krfofan lenpfo qacdob undfrzjof jbosrqnnfl ndvod zhu htjf qtwf nvgqvb rxeof zpsd nhf fafgm xbl bv mdnctmfl nhfpc rvebscl gpca kf cdgvyfw xo irtarf jb apkfrtsdw irug hfr ukkrfbovro lue muqcodaydo gjcc rhuuof mvec rfkcfodbntnpyfb tal ndd ovydcbgdan qbldc zdpnh lvq gjbd sv apjd jb nhd ruecod ui ndpb nxqhtpob iur shf ipatc wdiftn vi sdd fadqm muq gxl oeosxjb iersdfc cuob xbw lxqtod nrxppr nhvqpd nhfl qxm kf nddm trd htcn vi sdd kcjnf ui yjrnvrl p xooecd mue ndtn p odtaa lu tcc ja ql kugdr sv qjnpptsd lvqc dxclodpho p ybvz nhtn j rta ruqbn ub muqr ondtlitosadbb bvg bv cdbb ndta jb ndd kton ndf dfcujn wddwb ui irfardqfb zhu htyd nuasjaedw ndf osrqppad tptjaos nhd atvjo tal sddpc ypndl btsfaapsdo pa icxand tbl shcuqpduqs sdd irfbrh fgkprf dtyf kdfa tb duxqkad tal xb paohjctnjua su tca ui eb ndpo cxawpao jb men shd ukdbpbp kdtbd ui sdf nxqhtppa ja zfbsdrb decvhd pcfxs kxnncfb apd tddtw j rxcc ehua xcc gdv aujf irddwuq su onxbw zpsd eo yfdh muqr ixpnh osxearh uqc xrgo xcd rfbucqsf svodsddc zd\n",
      "Iter 0 of start 2: vuyhsa ip xatcaqs ankyhu g smszest lgt ngdu whet nyqsost is cha qymjw yp pqmjcu rr cqiihj yp chu gskoaz abhadowoijgkz pikca caej kmszojt oj vmkw yp waa cyjcakwud njewaz smweyst vsmj pyk chu kevaqgceyj yp ubkihu nmda oj cysdnjcwoys loch ink eqamc qbjtegj mskeat o hgou waet nutjgea pik gks yp zib gkchybeh chu ojocegs mjjmnsc ngr jyc amfa vuaj xgdu es zybk yxj qinjwqr caa hibk yp zynk sevaqmwoyj oj mhvqymcheje gsk vmwqeicj xus gjd lyxuj zibst msz ykz amoa g vmqc wy vsmz es chu gcaoafanajw yp pejms fecwyqr wi xuxrukj yp qutotwgsca nifuxasct o tmz pyssil caa osjcqnqweijt zib hmfu kuqaofuz ci hgwqoywt xay gku sic xaxvaqj ip yqtmsewaz qatetcmsqu tqynvt o jmr ciscosbu rink hmjjeoa qujotwgjqu rnw zy syw saazkujjkr ujdmjtuq rybq kooat njwes o eooa zin cha joejms ci qoja gjz twkofa cau ujaxr caa dmr xosk cixu lhus o jagks juuz zibk njecad jwkujewh njwes cagc zmr e cmkk is zyb pyq cha hmqd wmjf ip zojcohkoju msz kujcqgejw ceceyust yp pqmjcu e gx hkybz wi amfu memos bjduk xz cixngsz cha tmssmsw pyqqat yp pqgsqa poeawejt rajedu chueq gkkeuj whuz xosk hkmz m lyqcar hmkc os waa sorakmwoij ip wauok ainasmjz ruqmnta waa ejewomk sgszeje hgj vaaj ngzu is chu jios yp rynq qinscqz o kuvumw cy zyn lewh uous tkagcaq unvhgjej nr nuttgea ci whu vaivsaj yp iwaaq icqnheud cibsckeut es xajwakj unqiva pissix waa ejjwknqceysj yp zynq sugzukj m vkaxmcbku bvkejejt yp gsk pqascaxus xgr hkaoasc ryn pqix raeje ip nmionnn hukv wy zynk cybjwkr ej wau qqecoqgs hybq vu vgwoajc hkuvmku gj tbhkunu qynxmjzuq yp waa gskoaz aihuzewoyjmqr piqca waaqa ot envijaz ys xu cha znwr mjz kuthijjevosowz ip wmuost mks xagjnkaj jucujjgqr ci wha hkijaqbceyj yp waa xgq vkyxhc msz xeksese iradeuscu wi chu ikzaqt cagc e jagks ottna ot ujjaswemk appaqweoa qofok gzxesetckmceij ip pqmjcu nnjw va hqiooduz rr pkuschxas mks haqjyjj xbtc cijcosnu es wauoq vqutusc zbceut nskatj icauqlotu ojtwqnccuz cayta lhi hgou ngdu cyxnyj qmbtu lewa chu usuxr mjz jy rackgruz chuek qybjwkz xeks vu kaxyfud mt pqgsqu oj sevuqgwad pqix huq ivvqujtyqt zib rinktasfat xokk qhiitu rybk quvkutajcgcefuj gsz caa tyfakjxasc njzak laech zyn xoja wy seoa oj cha qibkta ip caej cmnhgetj piq whu pesgk dapugc yp waa usanr rin xmz tbtwmoj pbqwauk kitj mjd zmngta cqmeeq chynea chuz nmr vu caar gqa hgkc yp waa vkocu ip foqcyqz e mttbka rib cagc e tagss zi gkk os nz vixaq wy noceegwa zynk amkztaeht e fjyl chgc o qgs qinjc ij rinq tcagzpgtwsajj jyx jy kajj cags oj caa vgtc cau aukioc daadj ip pqusqanuj lhi hgfa ciswosbad cau twqneesa gegostw cha sgyot gsz waaek fecaz jgwussewat es pkmsca gjz whkineainw waa pqujqh uxvequ agfu vaus gj aimnvsa gsz mj esthokgcois wi gks ip bj caet kmsdest oj rbc wha ivajeje vagja ip wau cmnhgees os lujwaqj abkyha ekumw vmcckuj sea gaagd o qmkk bhis mkk xay siou pqaadin wi tcmjd lewa bt fuah rinq pmech twmbsqh ink mqxt mka qujiknwu wytawaak la\n",
      "Iter 0 of start 3: trmexk cw hkoaknx kqimer z xlxfgxo bzo qzvr pego qmnxuxo cx aek nmlyp mw wnlyar ss anccey mw aer zxiukf kdekvupucyzif wciak akgy ilxfuyo uy tlip mw pkk amyakiprv qygpkf xlpgmxo txly wmi aer igtknzagmy mw rdicer qlvk uy amxvqyapumx buae cqi gnkla ndyogzy lxigko u ezur pkgo qroyzgk wci zix mw fcd ziaemdge aer uyuagzx lyylqxa qzs yma kljk trky hzvr gx fmdi mhy ncqypns akk ecdi mw fmqi xgtknlpumy uy letnmlaegyg zxi tlpngcay hrx zyv bmhry fcdxo lxf mif kluk z tlna pm txlf gx aer zakukjkqkyp mw wgylx jgapmns pc hrhsriy mw nrouopzxak qcjrhkxao u olf wmxxcb akk uxyanqnpgcyo fcd eljr irnkujrf ac ezpnumpo hkm zir xca hkhtkny cw mnolxgpkf nkogoalxnr onmqto u yls acxauxdr scqi elyyguk nryuopzynr sqp fm xmp xkkfiryyis ryvlyorn smdn iuuko qypgx u guuk fcq aek yugylx ac nuyk zyf opiujk akr rykhs akk vls huxi achr berx u ykzix yrrf fcdi qygakv ypirygpe qypgx akza fls g alii cx fmd wmn aek elnv plyj cw fuyaueiuyr lxf iryanzgyp agagmrxo mw wnlyar g zh eimdf pc kljr lglux dyvri hf achqzxf aek olxxlxp wmnnko mw wnzxnk wugkpgyo skygvr aergn ziigry perf huxi eilf l bmnaks elia ux pkk xuskilpucy cw pkrui kcqkxlyf srnlqok pkk gygpuli xzxfgyg ezy tkky qzfr cx aer ycux mw smqn ncqxanf u irtrlp am fmq bgpe rurx oikzakn rqtezygy qs qroozgk ac per tkctxky mw cpkkn canqegrv acdxaigro gx hkypkiy rqnctk wcxxch pkk gyypiqnagmxy mw fmqn xrzfriy l tikhladir dtigygyo mw zxi wnkxakhrx hzs eikukxa smq wnch skgyg cw qlcuqqq erit pm fmqi amdypis gy pkr nngaunzx emdn tr tzpukya eirtlir zy odeirqr nmqhlyfrn mw pkk zxiukf kcerfgpumylns wcnak pkknk uo gqtcykf mx hr aek fqps lyf iroecyygtuxupf cw plruxo lix hkzyqiky yraryyzns ac pek eicykndagmy mw pkk hzn timhea lxf hgixgxg cskvgrxar pc aer cifkno akza g ykzix uooqk uo ryykxpgli kwwknpguk nujui zfhgxgoailagcy cw wnlyar qqyp tk encuuvrf ss wirxaehkx lix eknymyy hdoa acyauxqr gx pkrun tnrorxa fdagro qxikoy cakrnbuor uyopnqaarf akmok bec ezur qzvr amhqmy nldor bgpk aer rxrhs lyf ym skaizsrf aergi nmdypif hgix tr ikhmjrv lo wnzxnr uy xgtrnzpkv wnch ern cttnryomno fcd scqiokxjko huii neccor smdi nrtirokyazagjry zxf akk omjkiyhkxa qyfki bkgae fmq huyk pm xguk uy aek ncdiok cw akgy alqezgoy wcn per wgxzi vkwrza mw pkk rxkqs scq hlf odopluy wdnpkri icoy lyv flqzok anlggn aemqgk aerf qls tr akks znk ezia mw pkk tiuar cw junamnf g loodik scd akza g okzxx fc zii ux qf tchkn pm quaggzpk fmqi klifokgeo g jymb aeza u nzx ncqya cy scqn oakzfwzopxkyy ymh ym ikyy akzx uy akk tzoa akr kricua vkkvy cw wnrxnkqry bec ezjk acxpuxdkv akr opnqggxk zgzuxop aek xzmuo zxf pkkgi jgakf yzprxxgpko gx wilxak zyf peicqgkcqp pkk wnryne rhtgnr kzjr tkrx zy kclqtxk zxf ly gxoeuizaucx pc zix cw dy akgo ilxvgxo uy sda pek ctkygyg tkzyk cw pkr alqezggx ux brypkny kdimek girlp tlaairy xgk zkkzv u nlii decx lii hkm xcur wnkkvcq pc oalyv bgpk do jrke scqn wlgae opldxne cqi lnho lik nryciqpr pmokpkki bk\n",
      "Not updating anymore after iteration 40\n",
      "Iter 0 of start 1: sqomuh on xhdchls hztosh r ngslksi xrd igbq hxaj iotsasi os cxq eogdh oo olrseq rf clpomj oo cxq rnnkqb hqshlahkpsgtf oplyh htaj ngzlksi ad mrlh po hxh eozehlhhb zskhql srcapsd sugs oot cxh uauhtgckos po hztpsq irlq az yosjysyhkps akcx oyl itqgc lzjdars guukhj a xgdh ctad eqjjriq not rnn pn vpz rucxpyfx htq azacaru rdjgznc irf soc xrwh uhqz igbq kz vozl pxz eoysclf hxh xpyl on vpzt uarhtgcaos kd gmslpretazf guu mrhlkpcj ehz rzl apehs fozsi rzl oub tgdh g sglc ho mugf az cxh rexkqwqiqzh pn oazrn dayhplv cp iqerhld po lqdkdcgsyh iodheqshd a dgf npnupa htq azdctzecaozd foy xgdq tqeqawhl cp mghtkpcj xxo glq zoc eheuqtj on oligzkchb lhjkdhgsyq itozmj a dgv epzcaszh voyt mrddkwq lhdajhrsyq uyh lo zph zqhbuqjdnf qzbgzfhl vpyl ukdqd zzcan a iadh fpy hxh dkizgu hp lajh gsl dhtamh cxh hshef cxh brv xknu ypeh axhz k dtguu zqqb vozl zzkchl dclqsict yzhku cxrh bgf k ygnn ps voy opl hth xgtl hrdv oo lajeksuasq rsl tqjhtrash eahkkhsd po olrzeh a re mloyl cp xgwq rfgas zzlht iv yoeersl cxq fgungsc ooteqj oo nlgzeq naithkzi uhjabq ctqat guukhd hxqv aanu mugf r aplcxv mglh az cxq uarqtghkps po htqkt toiqnrzl rqegzdq cth kskhkrn ugslkzi xgj uqqz erbq ps cxh joku po vpyt yoyzhlf a tqsqgc hp vpz xkhx hwqs flqghht qimxgjaj ev ehjjrfh cp hxq mhpmnhj po phtht peezmkqb epzzhlaqd as xhjcqls hytosq nonuox hth ksjclyehapzd on fpzl nqrlqtd g mlherhylh zstajkzi oo ruu olqsetihs irf stqwhzh vpy otpe rqazf pn egqaeye tqum cp vpyt eozzhlv as cxh elkhaern tpyt uq srckhsh slqmrlq gj dyslqiq eoeirslql po cxq runkhl hqshbahkosgtf npteh hthlq aj aemodhl oz iq cxq bzhv rsl lhdspzjkrankcv pn cgvazf guu eqrjytqj zqehddgtv co hxh mtodqyyhkoz on cth xrl slpesh gsl xauuazf prqlkhseh hp cxh otbqld cxgc a dtgun adjzh kj qjdhshkru hnnqyckdq yadan gliaskdhlgcaos oo nlgzeh iydc rq stowklhb rv nthzyxeqs rnn mqtjpsd eydh ypshasyh az hxhkl mlqjqsc lyhkhj ysnhdj ohxhtaadq azdhtyehhl hxpdq axo xrwh erbq epeepz ygyjq aact cxq qsqiv gzb jo uhclgvhl hthkt ypzzhtf akuu rh tqipwqb gd otrseq ad nkrhlgcql oloi xqt pmslhjjptd fpz fpyljhudhd aaun expodq fpzl lhmtqjhscrcawqj gsl cth fowhtsihsc yslql axayx foz xajt hp nkwq as hth epzljq po ctkd erisraiz ool hxh okzgu bhnhgh oo ctq qsqev foy erf dzdhrks nylcthl nojd gzl lgirih hlgfky htozft ctqf erf rh ctqf rlh srth po hth stkeq pn wayholf a rjjztq voz ctgc k jtgnu lo rnu as if mpaqt ho ikhkfrhq vpyt tgtbdtksd k mzpx ctrh a egs epzsc oz vpyt dcqrlordcshdj soa sp nqjj hxrs as cxh mrjh hxq xhloky bqqbd oo ntqzyxiqs xtp xrdq epshkzyqb hxq dhtyiiuq gigkzdc cxq srckd gzl cxqal waetf jgchnnkchj ks olgsyh rsb cttozitozh htq olqzex qematq xgwh uqhs gs hbremuq rzl rs azjmktrckoz ho guu pn yd ctad ngzbazf ad uzc cxq pmqskzi mtgjh po cxq yresgais az xqjchtz qztpmh flhrh urhhuqd nkq rtqrb a yruu yspz ruu atp uowh nlhhloe co jhgsb aact zd vhqm vpzt ogaht jcgzzet ozt gled rlq thdonzcq coihhxht aq\n",
      "Iter 0 of start 2: hfgvdo gk qowsorh oxpgho y kjhrehn qyw njzf oqma ngphmhn gh sqf cgjwo gg gryhcf yu srbgva gg sqf ykkefz ofhormoebhjpu gbrlo opma kjxrehn mw vyro bg oqo cgxcorooz xheofr hysmbhw hdjh ggp sqo dmdopjsegh bg oxpbhf nyrf mx lghalhloebh mesq glr npfjs rxawmyh jddeoa m qjwo spmw cfaaynf kgp ykk bk ibx ydsqbluq opf mxmsmyd ywajxks nyu hgs qyto dofx njzf ex igxr bqx cglhsru oqo qblr gk ibxp dmyopjsmgh ew jvhrbycpmxu jdd vyorebsa cox yxr mbcoh ugxhn yxr gdz pjwo j hjrs og vdju mx sqo ycqeftfnfxo bk gmxyk wmlobri sb nfcyorw bg rfwewsjhlo ngwocfhow m wju kbkdbm opf mxwspxcsmgxw ugl qjwf pfcfmtor sb vjopebsa qqg jrf xgs cocdfpa gk grnjxesoz roaewojhlf npgxva m wji cbxsmhxo iglp vywwetf rowmaoyhlf dlo rg xbo xfozdfawku fxzjxuor iblr dewfw xxsmk m nmwo ubl oqo wenxjd ob rmao jhr wopmvo sqo ohocu sqo zyi qekd lbco mqox e wpjdd xffz igxr xxesor wsrfhnsp lxoed sqyo zju e ljkk bh igl gbr opo qjpr oywi gg rmacehdmhf yhr pfaopymho cmoeeohw bg gryxco m yc vrglr sb qjtf yujmh xxrop ni lgccyhr sqf ujdkjhs ggpcfa gg krjxcf kmnpoexn doamzf spfmp jddeow oqfi mmkd vdju y mbrsqi vjro mx sqf dmyfpjoebh bg opfep pgnfkyxr yfcjxwf spo eheoeyk djhrexn qja dffx cyzf bh sqo aged bg iblp lglxoru m pfhfjs ob ibx qeoq otfh urfjoop fnvqjama ci coaayuo sb oqf vobvkoa bg bopop bccxvefz cbxxormfw mh qoasfrh olpghf kgkdgq opo ehasrlcombxw gk ubxr kfyrfpw j vrocyolro xhpmaexn gg ydd grfhcpnoh nyu hpftoxo ibl gpbc yfmxu bk cjfmclc pfdv sb iblp cgxxori mh sqo creomcyk pblp df hyseoho hrfvyrf ja wlhrfnf cgcnyhrfr bg sqf ydkeor ofhozmoeghjpu kbpco oporf ma mcvgwor gx nf sqf zxoi yhr rowhbxaeymkesi bk sjimxu jdd cfyalpfa xfcowwjpi sg oqo vpgwflloegx gk spo qyr hrbcho jhr qmddmxu byfreohco ob sqo gpzfrw sqjs m wpjdk mwaxo ea fawohoeyd okkflsewf lmwmk jrnmheworjsmgh gg krjxco nlws yf hpgteroz yi kpoxlqcfh ykk vfpabhw clwo lbhomhlo mx oqoer vrfafhs rloeoa lhkowa goqopmmwf mxwoplcoor oqbwf mqg qyto cyzf cbccbx ljlaf mmsp sqf fhfni jxz ag dosrjior opoep lbxxopu medd yo pfnbtfz jw gpyhcf mw keyorjsfr grgn qfp bvhroaabpw ubx ublraodwow mmdk cqbgwf ubxr rovpfaohsysmtfa jhr spo ugtophnohs lhrfr mqmlq ugx qmap ob ketf mh opo cbxraf bg spew cynhymnx ggr oqo gexjd zokojo gg spf fhfci ugl cyu wxwoyeh klrspor kgaw jxr rjnyno orjuel opgxup spfu cyu yo spfu yro hypo bg opo hpecf bk tmlogru m yaaxpf igx spjs e apjkd rg ykd mh nu vbmfp og neoeuyof iblp pjpzwpehw e vxbq spyo m cjh cbxhs gx iblp wsfyrgywshowa hgm hb kfaa oqyh mh sqo vyao oqf qorgel zffzw gg kpfxlqnfh qpb qywf cbhoexlfz oqf woplnndf jnjexws sqf hysew jxr sqfmr tmcpu ajsokkesoa eh grjhlo yhz sppgxnpgxo opf grfxcq fcvmpf qjto dfoh jh ozycvdf yxr yh mxavepysegx og jdd bk lw spmw kjxzmxu mw dxs sqf bvfhexn vpjao bg sqf lychjmnh mx qfasopx fxpbvo uroyo dyoodfw kef ypfyz m lydd lhbx ydd mpb dgto kroorgc sg aojhz mmsp xw iofv ibxp gjmop asjxxcp gxp jrcw yrf powgkxsf sgnooqop mf\n",
      "Iter 0 of start 3: crugqj ul pjynjdc jifucj b lzcdecv pby vzar jpwk vufcwcv uc npr huzyj uu udbchr bs ndxugk uu npr bllera jrcjdwjexczfs uxdmj jfwk lzidecv wy gbdj xu jpj huihjdjja icejrd cbnwxcy cqzc uuf npj qwqjfzneuc xu jifxcr vbdr wi muckmcmjexc wenp umd vfrzn dikywbc zqqejk w pzyj nfwy hrkkbvr luf bll xl oxi bqnpxmsp jfr wiwnwbq bykziln vbs cun pbtj qjri vzar ei ouid xpi humcnds jpj pxmd ul oxif qwbjfznwuc ey zgcdxbhfwis zqq gbjdexnk hji bid wxhjc suicv bid uqa fzyj z czdn ju gqzs wi npj bhpertrvrij xl uwibl ywmjxdo nx vrhbjdy xu dryeynzcmj vuyjhrcjy w yzs lxlqxw jfr wiynfihnwuiy sum pzyr frhrwtjd nx gzjfexnk ppu zdr iun hjhqrfk ul udvzienja djkeyjzcmr vfuigk w yzo hxinwcij oumf gbyyetr djywkjbcmr qmj du ixj irjaqrkyls riazisjd oxmd qeyry iinwl w vwyj sxm jpj yevizq jx dwkj zcd yjfwgj npj jcjhs npj abo pelq mxhj wpji e yfzqq irra ouid iienjd yndrcvnf mijeq npbj azs e mzll xc oum uxd jfj pzfd jbyo uu dwkhecqwcr bcd frkjfbwcj hwjeejcy xu udbihj w bh gdumd nx pztr bszwc iidjf vo muhhbcd npr szqlzcn uufhrk uu ldzihr lwvfjeiv qjkwar nfrwf zqqejy jpro wwlq gqzs b wxdnpo gzdj wi npr qwbrfzjexc xu jfref fuvrlbid brhziyr nfj ecejebl qzcdeiv pzk qrri hbar xc npj kueq xu oxmf mumijds w frcrzn jx oxi pejp jtrc sdrzjjf rvgpzkwk ho hjkkbsj nx jpr gjxgljk xu xjfjf xhhigera hxiijdwry wc pjknrdc jmfucr lulqup jfj eckndmhjwxiy ul sxid lrbdrfy z gdjhbjmdj icfwkeiv uu bqq udrchfvjc vbs cfrtjij oxm ufxh brwis xl hzrwhmh frqg nx oxmf huiijdo wc npj hdejwhbl fxmf qr cbnejcj cdrgbdr zk ymcdrvr huhvbcdrd xu npr bqlejd jrcjawjeuczfs lxfhj jfjdr wk whguyjd ui vr npr aijo bcd djycxikebwleno xl nzowis zqq hrbkmfrk irhjyyzfo nu jpj gfuyrmmjeui ul nfj pbd cdxhcj zcd pwqqwis xbrdejchj jx npj ufardy npzn w yfzql wykij ek rkyjcjebq jllrmneyr mwywl zdvwceyjdznwuc uu ldzihj vmyn br cfutedja bo lfjimphrc bll grfkxcy hmyj mxcjwcmj wi jpjed gdrkrcn dmjejk mcljyk ujpjfwwyr wiyjfmhjjd jpxyr wpu pbtj hbar hxhhxi mzmkr wwnf npr rcrvo zia ku qjndzojd jfjef mxiijfs weqq bj frvxtra zy ufbchr wy lebjdznrd uduv prf xgcdjkkxfy sxi sxmdkjqyjy wwql hpxuyr sxid djgfrkjcnbnwtrk zcd nfj sutjfcvjcn mcdrd wpwmp sui pwkf jx letr wc jfj hxidkr xu nfey hbvcbwvi uud jpj ueizq ajljzj uu nfr rcrho sum hbs yiyjbec lmdnfjd luky zid dzvbvj jdzsem jfuisf nfrs hbs bj nfrs bdj cbfj xu jfj cfehr xl twmjuds w bkkifr oui nfzn e kfzlq du blq wc vs gxwrf ju vejesbjr oxmf fzfayfecy e gixp nfbj w hzc hxicn ui oxmf ynrbdubyncjyk cuw cx lrkk jpbc wc npj gbkj jpr pjduem array uu lfrimpvrc pfx pbyr hxcjeimra jpr yjfmvvqr zvzeiyn npr cbney zid nprwd twhfs kznjllenjk ec udzcmj bca nffuivfuij jfr udrihp rhgwfr pztj qrjc zc jabhgqr bid bc wikgefbneui ju zqq xl my nfwy lziawis wy qin npr xgrceiv gfzkj xu npr mbhczwvc wi prknjfi rifxgj sdjbj qbjjqry ler bfrba w mbqq mcxi bqq wfx qutj ldjjduh nu kjzca wwnf iy ojrg oxif uzwjf knziihf uif zdhy bdr fjyulinr nuvjjpjf wr\n",
      "Not updating anymore after iteration 48\n",
      "Iter 0 of start 1: nnjzkn hf bnclnwg uekhnu t ctgqdgp ytc ubqn lgjc uhkgdps hp lhu lhbxl hf fkbgln qa xwjjnx jf xgn bkkduq uiznqdxdjpbko fhkwn xgjc ktpqdgp dc ntkl jf xhu wjpwuklnq mgdlut gbldjgc nkbg ehw lhu kdauwbljhg jf nmwhnn uttn jg lhprmgwljhg bjxg jew swubl kmccjbg bkcdux j htfu xhdx unxxbpn fjw tcc jf ohe bklhhmpg xhu jpdljbc txxtmkx yba pjl htfu qnng ubqu dp ojek hyg ljmpxwo xhu gjmw he ojmk kjanktxdjp jc tnnwjbwgdgs bck nblkdjxc unp bgq yjunp ohmgs tpq hct gbin t zbkx lh zcba dg xgn tlgjnfnyupx jf fdgbc idlljko lj ynuankc je knxjcltpwn uhfuuupxc d xto ehkkjy xhn dpcxkmwxjhpc ahe hbfn knwujfuq lj ztlwdjxx bhh bkn ghl uuuaukc jf hwstpjznq kncdclbgwu pwhenc d cto ljgxdpmn ojmk ztcxdfn kucjxltpwn qel qh pjx guutkncxka ngqbppuw ahew cjfuc mgldc j sjfu ohm lgn xdsgbc lh kjxn tgt xlwdon lhu upnyo lgu tta ydkk wjun bgng j xhtcc pnnt ajmw epjluq xlkugplg egxdk lhbl qto d wbck hp oje ejk xgn htkt lbcr je qdcwjzkjgn bpt kncxwbjgl wjxjzngc he fwbpln d bu nwhmq xj gbfu tptjp mgquw uo ljyytgq xhn pbkctpx ejwlux je fwtpwu fdpgljpp aucjtu xgujk tckduc lgna bjck zkbo b bhklga ztkx jp xhn kdanktxdhp je xgnjw ghuukbpq qnlbexu xhu dpdljbc ktgtdgs hbc auup yttn jp lgn chdk je ahew ljmgxwo d knzntx xh ahm bjxg ufug swutlnk uyzhbxjc yo uucxtsn lj lgn znjzkux he jlgnk jwwendnq whepxkdux jp ynxluwg nmwjzn fjkchb lhn jpclkmwldhgc jf ajew cuttnkx b zwnutlmku mnkjcdgs je bck eknglhuug yba nwniugx ohe ewhu qnjps he ytidumy hncn xh ojmk ljegxwa dp xhu wkdxjwtc hjmk qu ztljugx nkunbwu bc cezkuuu whuubgtnw je lgn tkkdnq uinnqjxdjpbwa ehwwn xhuwu jc juzhcnt jp un xgn tmlo bpt kuxnhgcjadcjla je ltrjgs tkc ynbcmwuc pnwuccbko xh xgu zkhculmldjp he lhu btk nwjuzx tpt ydkkdps hqnqjupwn xh lhu hwqukc lhbx d xgbck jxxen jx ncxnpxdbk uefulljfn ljidk btujpjxlktxdjg je ewbplu ymxx au zkhidtnt qo ekuplhyup bkc nnwcjpc umxl lhpxdgeu jp xhndw nkncnpl texdnc epcucc hlgnkyjxu jpxxkewxut lhhcu bhj gbiu ubtn wjyuhp lbmxn bdlg lhu uguyo tpq cj qnlwtant xgndk lheglka ydck qn knyhfnt bx fwbpwn jc kjauwtxut ewhu huw jnnkuxcjwx ahm ahekcncfnx bjcc lhhhcu ohek wnzkncupltljfuc bgq xgu shfnwgyngl eptnk yhjlg ojm bjch xh cdiu jg lgu ljmkxn jf xhdx lbyztdsp fhk lgn ejgtk tnentl jf xhn ugnya ahe uba cmxxbdp eeklhnw chcc tgt qbybpu lkbpdw xghmsg xgua yta au lhna bwu ntkl he lhn nkjln he fjlxhko j txxmkn ahm xhtx d cgtcc qj bcc dp yo zjynk lj ujxjsblu ojew htktchdzc j oghy xgtl d lbp lhmgl jp ahmw clnbtetxlgucx pjy pj cncx lgbp jp xhn zbxl xhn hukhdw tnntx he ewugwhyug bhh hbfn lhpldpeuq xgn cxwmpscu bstjgxx xhu gtddc tpt xhndw fjwho cbxukkjxnc dg ewtgwu bgq lgwjepghml lhu ewnpwh uundwn hbfn anng tg uibunku tgq bp jpczjktxjhp lj bkk jf mc xhdx ctpqjpp dc ael xhn hznpdpp ngbcu hf xhn ltuntdsp jp bncluwp nmwjnu sknbl abllcnx kdu bgubq j ltcc mnjp bck ygj cjin ekuutju xh xxbpq bdlg mx onun ojew fbdxg xlbegwg hmw bkux bwu wncjcexn xhsnlhuw bu\n",
      "Iter 0 of start 2: zzyhuz mt ezakzfo ciumzc d adojlow nda cejz koya cmuolwv mw kmc kmeqk mt tueokz jb qfyyzq yt qoz euulcj cphzjlqlyweus tmufz qoya udwjlow la zduk yt qmc fywfcukzj xolkcd oeklyoa zueo imf kmc ulbcfekymo yt zxfmzz cddz yo kmwgxofkymo eyqo yif vfcek uxaayeo eualcq y mdtc qmlq czqqewz tyf daa yt smi eukmmxwo qmc ywlkyea dqqdxuq neb wyk mdtc jzzo cejc lw syiu mno kyxwqfs qmc oyxf mi syxu uybzudqlyw ya dzzfyefolov eau zekulyqa czw eoj nyczw smxov dwj mad oepz d heuq km haeb lo qoz dkoyztzncwq yt tloea plkkyus ky nzcbzua yi uzqyakdwfz cmtcccwqa l qds imuuyn qmz lwaquxfqymwa bmi metz uzfcytcj ky hdkflyqq emm euz omk cccbcua yt mfvdwyhzj uzalakeofc wfmiza l ads kyoqlwxz syxu hdaqltz ucayqkdwfz jik jm wyq occduzaqub zojewwcf bmif aytca xokla y vytc smx koz qlvoea km uyqz dod qkflsz kmc cwzns koc ddb nluu fycz eozo y qmdaa wzzd byxf iwykcj qkucowko ioqlu kmek jds l feau mw syi iyu qoz mdud keag yi jlafyhuyoz ewd uzaqfeyok fyqyhzoa mi tfewkz l ec zfmxj qy oetc dwdyw xojcf cs kynndoj qmz weuadwq iyfkcq yi tfdwfc tlwokyww bcaydc qocyu daulca kozb eyau hues e emukob hduq yw qmz ulbzudqlmw yi qozyf omccuewj jzkeiqc qmc lwlkyea udodlov mea bccw nddz yw koz amlu yi bmif kyxoqfs l uzhzdq qm bmx eyqo ctco vfcdkzu cnhmeqya ns ccaqdvz ky koz hzyhucq mi ykozu yffizlzj fmiwqulcq yw nzqkcfo zxfyhz tyuame kmz ywakuxfklmoa yt byif acddzuq e hfzcdkxuc xzuyalov yi eau iuzokmcco neb zfzpcoq smi ifmc jzywv mi ndplcxn mzaz qm syxu kyioqfb lw qmc fulqyfda myxu jc hdkycoq zuczefc ea aihuccc fmcceodzf yi koz duulzj cpzzjyqlywefb imffz qmcfc ya ychmazd yw cz qoz dxks ewd ucqzmoayblaykb yi kdgyov dua nzeaxfca wzfcaaeus qm qoc humackxklyw mi kmc edu zfychq dwd nluulwv mjzjycwfz qm kmc mfjcua kmeq l qoeau yqqiz yq zaqzwqleu citckkytz kyplu edcywyqkudqlyo yi ifewkc nxqq bc humpldzd js iucwkmncw eua zzfaywa cxqk kmwqloic yw qmzlf zuzazwk diqlza iwacaa mkozunyqc ywqquifqcd kmmac emy oepc cedz fyncmw kexqz elko kmc cocns dwj ay jzkfdbzd qozlu kmiokub nlau jz uznmtzd eq tfewfz ya uybcfdqcd ifmc mcf yzzucqayfq bmx bmiuazatzq eyaa kmmmac smiu fzhuzacwkdkytca eoj qoc vmtzfonzok iwdzu nmyko syx eyam qm alpc yo koc kyxuqz yt qmlq kenhdlvw tmu koz iyodu dzizdk yt qmz coznb bmi ceb axqqelw iiukmzf amaa dod jenewc kuewlf qomxvo qocb ndb bc kmzb efc zduk mi kmz zuykz mi tykqmus y dqqxuz bmx qmdq l aodaa jy eaa lw ns hynzu ky cyqyvekc syif mdudamlha y somn qodk l kew kmxok yw bmxf akzedidqkocaq wyn wy azaq koew yw qmz heqk qmz mcumlf dzzdq mi ifcofmnco emm metz kmwklwicj qoz aqfxwvac evdyoqq qmc odlla dwd qmzlf tyfms aeqcuuyqza lo ifdofc eoj kofyiwomxk kmc ifzwfm cczlfz metz bzzo do cpeczuc doj ew ywahyudqymw ky euu yt xa qmlq adwjyww la bik qmz mhzwlww zoeac mt qmz kdczdlvw yw ezakcfw zxfyzc vuzek bekkazq ulc eocej y kdaa xzyw eau noy aypz iuccdyc qm qqewj elko xq szcz syif telqo qkeiofo mxf eucq efc fzayaiqz qmvzkmcf ec\n",
      "Iter 0 of start 3: ggapug nq zgxbglk evunge i xikwrkj dix ezwg bkax enukrjf nj bne bnzmb nq quzkbg wt mlaagm aq mkg zuurew eypgwrmrajzuo qnulg mkax uijwrkj rx giub aq mne lajleubgw hkrbei kzbrakx guzk vnl bne urtelzbank aq ghlngg eiig ak bnjshklbank zamk avl flezb uhxxazk zuxrem a niqe mnrm egmmzjg qal ixx aq onv zubnnhjk mne ajrbazx immihum dzt jab niqe wggk ezwe rj oavu ndk bahjmlo mne kahl nv oahu uatguimraj ax igglazlkrkf zxu gzburamx egj zkw daegj onhkf ijw nxi kzyg i pzum bn pxzt rk mkg ibkagqgdejm aq qrkzx yrbbauo ba dgetgux av ugmaxbijlg enqeeejmx r mio vnuuad mng rjxmuhlmanjx tnv nzqg ugleaqew ba piblramm znn zug knb eeeteux aq nlfijapgw ugxrxbzkle jlnvgx r xio bakmrjhg oahu pixmrqg uexambijlg wvb wn jam keeiugxmut gkwzjjel tnvl xaqex hkbrx a faqe onh bkg mrfkzx bn uamg iki mblrog bne ejgdo bke iit druu laeg zkgk a mnixx jggi tahl vjabew mbuekjbk vkmru bnzb wio r lzxu nj oav vau mkg niui bzxs av wrxlapuakg zji ugxmlzakb lamapgkx nv qlzjbg r ze glnhw ma kzqe ijiaj hkwel eo baddikw mng jzuxijm valbem av qlijle qrjkbajj texaie mkeau ixurex bkgt zaxu puzo z znubkt pium aj mng urtguimrnj av mkgal kneeuzjw wgbzvme mne rjrbazx uikirkf nzx teej diig aj bkg xnru av tnvl bahkmlo r ugpgim mn tnh zamk eqek fleibgu edpnzmax do eexmifg ba bkg pgapuem nv abkgu allvgrgw lnvjmurem aj dgmbelk ghlapg qauxnz bng ajxbuhlbrnkx aq tavl xeiigum z plgeibhue hguaxrkf av zxu vugkbneek dzt glgyekm onv vlne wgajf nv diyrehd ngxg mn oahu bavkmlt rj mne lurmalix nahu we pibaekm guegzle zx xvpueee lneezkigl av bkg iuurgw eyggwamrajzlt vnllg mnele ax aepnxgi aj eg mkg ihbo zji uemgnkxatrxabt av bisakf iux dgzxhlex jglexxzuo mn mke punxebhbraj nv bne ziu glaepm iji druurjf nwgwaejlg mn bne nlweux bnzm r mkzxu ammvg am gxmgjmrzu evqebbaqg bayru zieajambuimrak av vlzjbe dhmm te punyrigi wo vuejbndej zux gglxajx ehmb bnjmrkve aj mngrl gugxgjb ivmrgx vjxexx nbkgudame ajmmuvlmei bnnxe zna kzye ezig ladenj bzhmg zrbk bne ekedo ijw xa wgblitgi mkgru bnvkbut drxu wg ugdnqgi zm qlzjlg ax uatelimei vlne nel agguemxalm tnh tnvuxgxqgm zaxx bnnnxe onvu lgpugxejbibaqex zkw mke fnqglkdgkb vjigu dnabk oah zaxn mn xrye ak bke bahumg aq mnrm bzdpirfj qnu bkg vakiu igvgib aq mng ekgdt tnv ezt xhmmzrj vvubngl xnxx iki wzdzje buzjrl mknhfk mket dit te bngt zle giub nv bng guabg nv qabmnuo a immhug tnh mnim r xkixx wa zxx rj do padgu ba eamafzbe oavl niuixnrpx a oknd mkib r bzj bnhkb aj tnhl xbgzivimbkexm jad ja xgxm bkzj aj mng pzmb mng neunrl iggim nv vleklndek znn nzqg bnjbrjvew mkg xmlhjfxe zfiakmm mne kirrx iji mngrl qalno xzmeuuamgx rk vlikle zkw bklavjknhb bne vlgjln eegrlg nzqg tggk ik eyzegue ikw zj ajxpauimanj ba zuu aq hx mnrm xijwajj rx tvb mng npgjrjj gkzxe nq mng biegirfj aj zgxbelj ghlage fugzb tzbbxgm ure zkezw a bixx hgaj zxu dka xayg vueeiae mn mmzjw zrbk hm ogeg oavl qzrmk mbzvklk nhl zuem zle lgxaxvmg mnfgbnel ze\n",
      "Not updating anymore after iteration 63\n",
      "Iter 0 of start 1: eamesa ml vaxnkdl keddea w swkxulw vtc utxa nsux jddkilq ml qyk jdtxn dg gdwkjk ot ndmmbc dg qya tssukx aiekxuqudkwmf lddzk nsuc pwkgulw ix bwmn ml nyk zdljamnkx eliqag ltnimlc epwl gdd qsk suckdtqimk dl afmdea utga ul zdlbelzqudl vins med qdawq mexxiwk tspiac i ywaa nsux uaxcwqk gmd tpp dg fde tsnydfqy qya ikunutp txcwfpq jwt lmn ytak oaal uwxk ul fmfm mvk jmelndf qsa sdfm dl fdfd sucamtqumk ic wbemmwzsulq wpp btqmudnc ukk wlx vdjkl tmfkw tlx dpg swnk w ewmq qm eptf ik nsk wjyuanaukkq dg gukwp aizqdmt qm jkucadx dl maxucnwlza jmnkjklqx i ctf lmppdv qsk ulcnmejqimlx tde staa dazaunag qm btnmumnc vyd tdk kdn jkjcamc dl mmqwlirkx mkxuxqwkjk qdmeec u xtf zdkqilea tdfd bwxxuaa maxuxntlzk ofn gm kmn lkaxsaxcpt akxwkwam fmfd suakx fknup i wuak fme nyk xiqlwp nd dica tlg cqmuza nsk akajt nya gtt vupp zdja vskk u xywss lkkg tmfd fkuqag xnmakwns flnup qytn xtf i ztpp dl fmf gmm nyk ywdx ntcz dl guxzibpilk tlg dacqmtukq jinirkkx mg gdwkzk u tu emdeg nd staa tqtik flgam uf zmjutlx nsk qtpstkq lddjax mg ldwkjk luwsqilw ckcigk qsaid tssiax nsaf visp bswf t vmdqyt etdn il nsk piokdtquml ml qykud yduaswkg oaztexa qyk ikuqutp ptlgikw ytc oakl jwga mk qyk cdis mg fmed jdekndt u mabatq qd tme vuny knal qdktqad aubywcuc jf uaxxwqk nm qya eamepkc ml mnsam dzjeeukx jdflnmikc uk vkxnadk kfdmek gdpsmv nsk ukxnmezqidkc mg tmfd skwgkdx w edkuwqfmk fbdicikq dg wsp ldkkjsukk jwt bmaaakn tmf lmdu oailw ml utoujej yape nm tded zdfkqmf ik nsk zmiqizts ymem ca btnialq bdabtmk wc ceemajk jdjjtlxad ml qsa wssiag aobkgiqimltdf gdmja nsada uc ijedxag ml uk nyk xeqf tlg macbmkxioupuqf dg qthilq tsp uatcedkc lkzkcctdf nd nsa bmdckzeqiml dg nsa vwm emmubn tlx vippulw dcagiklja nd nsa mmgkdx nswq i xswps uxcfk ux kcxklqitp kllkzniaa zinip txuulucqmtqumk mg gdtljk jfcn ok emdnigkg ct ldaljsjkk wpp badxmlx jfxn zdlnilfk ik nykid bmackkn genikx ekpkxc mqskmvixa ulxndejnkx qymca vym ytna jwga zmujdk zwexa vuns nsk klajt wlg xd candwtkx nsaid zmflndt vusp ok daumnax wx lmtljk uc sicadwqkx gmmu ykm meemkccdmc fme fmfmxasaac vipp zsmmca fded dkbmacklnwnuakx tlg nyk qmaamkjkkq fkxkd vsujs tdf vucy qd piaa ik nyk jdfdxk mg qsix jwubwuwl gdm nsk giktp galawn dl nsa akkut tdf utf cexqtik lfmnykm pdxx tlg xwjtwk ndtwiz nydewy nykf uwt ck nskt wmk etmn dg nsk edujk ml auzqmdf u tccedk fdf qytq i xstpp gd tsp il uf emvad nd uuquwtnk tmed ywmgcsibc u hlmv nytq u jtk zmeln dk fmed xnatggtxnkkcc kmv ld pkcx qstk ik qya btxq qsk sammuz xakgc ml gmakjsjak vsd ywnk jdknulekx qyk xqmeqqpk twwulxn qyk kwrix wlg nsaum nizyt cwqkspunkx ul lmwljk wkg qydmeqydfn qya lmkljs kjbimk ytaa oaak wl aowubsk wkg wl ukceudwnidl qm wpp ml ex nsux ptkxilw ix cfn nsk dbalulw bswxa dl qsa ztuewiqk uk vkxqadk aemdek wmatn cwnnsac sik tsktg i zwsp eemk tpp vyd sdna gdkkgmj qd xnwkg vuqy fc zkae fdfd gtuny xntfljy mfd tdux wda dkxdsenk nmqkqsad va cytpp tjyuaak aizqmmt\n",
      "Iter 0 of start 2: mdqmed qf cdtlhof hmoomd g eghtrfg cvp rvtd lert boohsfn qf nzh bovtl oi ioghbh yv loqqkp oi nzd veerht dsmhtrnrohgqj fooxh lerp ughirfg st kgql qf lzh xofbdqlht mfsndi fvlsqfp mugf ioo neh erphovnsqh of djqomd rvid rf xofkmfxnrof csle qmo nodgn qmttsgh veusdp s zgdd lert rdtpgnh iqo vuu oi jom velzojnz nzd shrlrvu vtpgjun bgv fql zvdh yddf rgth rf jqjq qch bqmfloj ned eojq of jojo erpdqvnrqh sp gkmqqgxerfn guu kvnqrolp rhh gft cobhf vqjhg vft oui eglh g mgqn nq muvj sh leh gbzrdldrhhn oi irhgu dsxnoqv nq bhrpdot of qdtrplgfxd bqlhbhfnt s pvj fquuoc neh rfplqmbnsqft vom evdd odxdrldi nq kvlqrqlp czo voh hol bhbpdqp of qqngfswht qhtrtnghbh noqmmp r tvj xohnsfmd vojo kgttrdd qdtrtlvfxh yjl iq hql fhdtedtpuv dhtghgdq jqjo erdht jhlru s grdh jqm lzh tsnfgu lo ospd vfi pnqrxd leh dhdbv lzd ivv cruu xobd cehh r tzgee fhhi vqjo jhrndi tlqdhgle jflru nzvl tvj s xvuu of jqj iqq lzh zgot lvpx of irtxskusfh vfi odpnqvrhn bslswhht qi ioghxh r vr mqomi lo evdd vnvsh jfidq rj xqbrvft leh nvuevhn foobdt qi foghbh frgensfg phpsih nedso veesdt ledj cseu kegj v cqonzv mvol sf leh usyhovnrqf qf nzhro zordeghi ydxvmtd nzh shrnrvu uvfishg zvp ydhf bgid qh nzh pose qi jqmo bomhlov r qdkdvn no vqm crlz hldf nohvndo drkzgprp bj rdttgnh lq nzd mdqmuhp qf qledq oxbmmrht bojflqshp rh chtldoh hjoqmh ioueqc leh rhtlqmxnsohp qi vqjo ehgihot g mohrgnjqh jkospshn oi geu fohhberhh bgv kqdddhl vqj fqor ydsfg qf rvyrbmb zdum lq vomo xojhnqj sh leh xqsnsxve zqmq pd kvlsdfn kodkvqh gp pmmqdbh bobbvftdo qf ned geesdi dykhisnsqfvoj ioqbd ledod rp sbmotdi qf rh lzh tmnj vfi qdpkqhtsyrurnj oi nvasfn veu rdvpmohp fhxhppvoj lo led kqophxmnsqf oi led cgq mqqrkl vft csuurfg opdishfbd lo led qqihot legn s tegue rtpjh rt hpthfnsvu hffhxlsdd xslsu vtrrfrpnqvnrqh qi iovfbh bjpl yh mqolsihi pv fodfbebhh guu kdotqft bjtl xoflsfjh sh lzhso kqdphhl imlsht mhuhtp qnehqcstd rftlomblht nzqpd czq zvld bgid xqrboh xgmtd crle leh hfdbv gfi to pdlogvht ledso xqjflov creu yh odrqldt gt fqvfbh rp espdognht iqqr zhq qmmqhppoqp jqm jqjqtdeddp csuu xeqqpd jomo ohkqdphflglrdht vfi lzh nqddqhbhhn jhtho cerbe voj crpz no usdd sh lzh bojoth qi nest bgrkgrgf ioq leh ishvu idfdgl of led dhhrv voj rvj pmtnvsh fjqlzhq uott vfi tgbvgh lovgsx lzomgz lzhj rgv ph lehv gqh mvql oi leh morbh qf drxnqoj r vppmoh joj nzvn s tevuu io veu sf rj mqcdo lo rrnrgvlh vqmo zgqipeskp r afqc lzvn r bvh xqmfl oh jqmo tldviivtlhhpp hqc fo uhpt nevh sh nzd kvtn neh edqqrx tdhip qf iqdhbebdh ceo zglh bohlrfmht nzh tnqmnnuh vggrftl nzh hgwst gfi ledrq lsxzv pgnheurlht rf fqgfbh ghi nzoqmnzojl nzd fqhfbe hbksqh zvdd yddh gf dygrkeh ghi gf rhpmroglsof nq guu qf mt lert uvhtsfg st pjl leh okdfrfg kegtd of ned xvrmgsnh rh chtndoh dmqomh gqdvl pglledp esh vehvi s xgeu mmqh vuu czo eold iohhiqb no tlghi crnz jp xhdm jojo ivrlz tlvjfbz qjo vort god ohtoemlh lqnhnedo cd pzvuu vbzrddh dsxnqqv\n",
      "Iter 0 of start 3: kjrkaj ru yjpmqsu qksskj g agqplug ytc ltpj malp bssqfud ru dxq bstpm sv vsgqbq ot msrrhc sv dxj taalqp jfkqpldlsqgrn usszq malc igqvlug fp hgrm ru mxq zsubjrmqp kufdjv utmfruc kigu vss daq alcqstdfrq su jnrskj ltvj lu zsuhkuzdlsu yfma rks dsjgd rkppfgq taifjc f xgjj malp ljpcgdq vrs tii sv nsk tamxsndx dxj fqlmlti tpcgnid bgt urm xtjq ojju lgpq lu nrnr ryq brkumsn daj asnr su nsns alcjrtdlrq fc ghkrrgzalud gii htdrlsmc lqq gup ysbqu trnqg tup siv agmq g kgrd dr kitn fq maq gbxljmjlqqd sv vlqgi jfzdsrt dr bqlcjsp su rjplcmguzj brmqbqudp f ctn uriisy daq lucmrkbdfrup tsk atjj sjzjlmjv dr htmrlrmc yxs tsq qsm bqbcjrc su rrdgufeqp rqplpdgqbq dsrkkc l ptn zsqdfukj tsns hgppljj rjplpmtuzq onm vr qrm uqjpajpcit jqpgqgjr nrns aljqp nqmli f gljq nrk mxq pfdugi ms sfcj tuv cdrlzj maq jqjbt mxj vtt ylii zsbj yaqq l pxgaa uqqv trns nqldjv pmrjqgma numli dxtm ptn f ztii su nrn vrr mxq xgsp mtcz su vlpzfhifuq tuv sjcdrtlqd bfmfeqqp rv vsgqzq l tl krskv ms atjj tdtfq nuvjr ln zrbltup maq dtiatqd ussbjp rv usgqbq ulgadfug cqcfvq dajfs taafjp majn yfai hagn t yrsdxt ktsm fu maq ifoqstdlru ru dxqls xsljagqv ojztkpj dxq fqldlti ituvfqg xtc ojqu bgvj rq dxq csfa rv nrks bskqmst l rjhjtd ds trk ylmx qmju dsqtdjs jlhxgclc bn ljppgdq mr dxj kjrkiqc ru rmajr szbkklqp bsnumrfqc lq yqpmjsq qnsrkq vsiary maq lqpmrkzdfsqc rv trns aqgvqsp g ksqlgdnrq nhsfcfqd sv gai usqqbalqq bgt hrjjjqm trn ursl ojfug ru ltolbkb xjik mr tsks zsnqdrn fq maq zrfdfzta xrkr cj htmfjud hsjhtrq gc ckkrjbq bsbbtupjs ru daj gaafjv johqvfdfrutsn vsrbj majsj lc fbkspjv ru lq mxq pkdn tuv rjchrqpfolildn sv dtwfud tai ljtcksqc uqzqcctsn ms maj hrscqzkdfru sv maj ygr krrlhm tup yfiilug scjvfqubj ms maj rrvqsp magd f pagia lpcnq lp qcpqudfti quuqzmfjj zfmfi tpllulcdrtdlrq rv vstubq bncm oq krsmfvqv ct usjubabqq gii hjsprup bnpm zsumfunq fq mxqfs hrjcqqm vkmfqp kqiqpc rdaqryfpj lupmskbmqp dxrcj yxr xtmj bgvj zrlbsq zgkpj ylma maq qujbt guv ps cjmsgtqp majfs zrnumst ylai oq sjlrmjp gp urtubq lc afcjsgdqp vrrl xqr rkkrqccsrc nrk nrnrpjajjc yfii zarrcj nsks sqhrjcqumgmljqp tuv mxq drjjrqbqqd nqpqs yalba tsn ylcx ds ifjj fq mxq bsnspq rv dafp bglhglgu vsr maq vfqti vjujgm su maj jqqlt tsn ltn ckpdtfq unrmxqr ispp tuv pgbtgq mstgfz mxskgx mxqn lgt cq maqt grq ktrm sv maq kslbq ru jlzdrsn l tccksq nsn dxtd f patii vs tai fu ln kryjs ms lldlgtmq trks xgrvcafhc l wury mxtd l btq zrkum sq nrks pmjtvvtpmqqcc qry us iqcp datq fq dxj htpd daq ajrrlz pjqvc ru vrjqbabjq yas xgmq bsqmlukqp dxq pdrkddiq tgglupm dxq qgefp guv majlr mfzxt cgdqailmqp lu urgubq gqv dxsrkdxsnm dxj urquba qbhfrq xtjj ojjq gu joglhaq gqv gu lqcklsgmfsu dr gii ru kp malp itqpfug fp cnm maq shjulug hagpj su daj ztlkgfdq lq yqpdjsq jkrskq grjtm cgmmajc afq taqtv f zgai kkrq tii yxs asmj vsqqvrb ds pmgqv yldx nc zqjk nsns vtlmx pmtnubx rns tslp gsj sqpsakmq mrdqdajs yj cxtii tbxljjq jfzdrrt\n",
      "Not updating anymore after iteration 88\n",
      "Iter 0 of start 1: aszfqs vl vtcfsop snozat r qmkicpo mmx eris gtgx ezokgpa zk fkt xvrxf vu uomkdt lq govvfc zu gtt mqqctb syfsbgfgvpmwz lvwds ftcc imkbgko cc frwf vu fks xzpdswfsi bkcfsb pmggvkc fqmk uvo gkt igwtwrgcvk zu tnwzas emit gp xvkrnkdggvk mcft vnw owsmf wbcccrk rqqgtx g tmjs ftcx escxras lzo mqi zu qzn mqgkznak ftt cpggcmq rccrnqf emq pvf kmes wttk jmis cp zzbo vmk dvbpgwz fkt tvbo vl zzno iclsomggzk gc rffwvmxtcko rii fmfogvfx etp mkb vzjsp zzbpo mki zqi tmet m amog fv airq cp fks mxkcsjsjtkf vl lckmq jgxgzwz fv esjwsoc zl otcgcfmpxt jzesespgc c crz lziqzv fkt gpxfondfcvkx qzn kmet otdtgjtb gz argwcvgc vkz rot pvf eselsoc vu vworpghtb oscgxfmkxs oovbac c xrz xzpgckbt zzbw frxxgjs otxccfrkxs lng bv pzf pssiqsxciz skimkosw zzno qgesx nkfgi g aces zzb fks ccokrq fz occs rkb cfwcpt fts spteq fts bmq vgii xvjt vtsk c xkmqq pssi zzno nkggsb cgwskofk npgci gtmg imq c drqq vk qvb uvw fks tmoi grxp vu icxxgaqgkt mpi oscgwmgkf xggcnspx vu lompdt g me awvbi fz kmjt rargp npbtw ez xvjerkb fks oriqmkf uvwdsx vl uwrkxt lgatgcka ltcgit fksgw miqgsx gktq vcii aimq r vzwgkz arwg cp gts qglswrgcvp vl fksgo kzetirki lsxrbxs fkt ckcgcmq imkbgka kmx wssk jmit vk ftt xzcq vu zzbo xvnkfoq g otftmg fv zvb vggk sesk aotrgto sjakmcgc jq esxcrot gz fkt ftvfqtx zl vgkso vddbfcsb xzbkgoctx gk msxgswp sbozas lziivv fks gpcgonxgcvpc zl zvnw qsmbswc r awtjmfbws nawccgka vl riq uospdtesk erq awsespf qzn uwze ltgpa vl emycjbe tsqf gv qvnw dzbpfoq gk gtt xwcfcxrq kvnw wt amgcskg fwsarwt mc cbawtjs xzjerpisw zu gtt miqcsi shasicfcvkroz uzwxt ftsos cx geazcsi zp js fks ibfz mpb otcfvkxglcigfz vl grdcka rqi jtmcbosc ptxtxcrwz gz ftt awzctdbgcvp zl gts vmo aoveff rpi mciigko zlsigtkxs gv gkt zwitwx gtrg g ctmqi cxxns gc tcctkgcmi tlltxfgjs xcjgq rbjgkcxgomfgzp vl lwmpxt ebcf ws awzecbsb lq lwskxtjtp rqi ftoczkx jnxg xvpfcpnt gp fktgo aosctpg bbggtx nkisxx zfttwmgxt ckcgwbxfsb gtzcs mtz tres jmis dvjevp drncs vcgk fts sksez mkb xv ltforzti fttcw xzbkgoq mgqi ls wtezjti mx lompdt cx qgltomgti uwzj kto vffotcxzox qvn zznoxtqjsc vgqq xtvzcs zvbw wtfosctpfmfgetc mpb fkt avjswpjtpf nkito mtgdk zzn vcck fz qcjt gp gtt xvnoct vu ftgx drjfrgap uzw fts lgprq isltmg zl gts sksez qvn jmz xbxgmck lbwftsw qzxx mpi irjras fwrogx gkzbat gttq erq ws gktq rws fmog zl gkt fwgxt zl jgxfvoz g rcxnos zvn gtmf g ctriq bv mqq gp jz fvvso fz jcggamgs qzbw trwbxkgfc g ppzv gkrf g drp xvnkf zp qvbw xftrburxgksxx kzm pz iscx gtmk cp gtt fmxg gts ktozgx bstbc vl uoskdtetk mtv kres dvpfgpbtb fts xfonooqs morgpxg fts kmhcc mkb fksco jcxtz xmftqqcgtx ck uwrkxt mpi gtwvbakznf ftt uospdk tjfgwt tret wssp mk shrjait mkb mp gpxfcomggzk gv riq zu bc gkcx irpbcko cc wnf fks vaspgpo akmxs zl gtt drjfrgok gk vscftwp snozfs awsmf lrggqtx qcs mtsmi g xmii bazp rqq vkz qzjt uostize fv cgmpb vcfk bc psta qzbw umcfk cgrbkdt vbo mwec mws oscvqngs fvosftso ms xtrqq rdtctes ecdgzwz\n",
      "Iter 0 of start 2: pnotln xb xyctneu nieopy w lszvcue ssk dwvn mymk doezmup oz tzy kxwkt xh heszry bl mexxtc oh myy sllcya nftnamtmxusqo bxqrn tycc vszamze cc twqt xh tzn kournqtnv azctna usmmxzc tlsz hxe mzy vmqyqwmcxz oh yiqopn dsvy mu kxzwizrmmxz scty xiq eqnst qacccwz wllmyk m ysjn tyck dnckwpn boe slv oh loi slmzoipz tyy cummcsl wccwilt dsl uxt zsdn qyyz jsvn cu ooae xsz rxaumqo tzy yxae xb ooie vcbnesmmoz mc wttqxskycze wvv tstemxtk dyu sza xojnu ooaue szv olv ysdy s psem tx pvwl cu tzn skzcnjnjyzt xb bczsl jmkmoqo tx dnjqnec ob eycmctsuky jodndnumc c cwo bovlox tzy mukteirtcxzk loi zsdy eyrymjya mo pwmqcxmc xzo wey uxt dndbnec xh xqewumgya encmktszkn eexapc c kwo koumczay ooaq twkkmjn eykcctwzkn bim ax uot unnvlnkcvo nzvszenq ooie lmdnk iztmv m pcdn ooa tzn ccezwl to eccn wza ctqcuy tyn nuydl tyn asl xmvv kxjy xynz c kzsll unnv ooie izmmna cmqnzetz iumcv mysm vsl c rwll xz lxa hxq tzn ysev mwku xh vckkmplmzy suv encmqsmzt kmmcinuk xh besury m sd pqxav to zsjy wpwmu iuayq do kxjdwza tzn ewvlszt hxqrnk xb hqwzky bmpymczp bycmvy tznmq svlmnk mzyl xcvv pvsl w xoqmzo pwqm cu myn lmbnqwmcxu xb tznme zodyvwzv bnkwakn tzy czcmcsl vszamzp zsk qnnz jsvy xz tyy kocl xh ooae kxiztel m eytysm tx oxa xmmz ndnz peywmye njpzscmc jl dnkcwey mo tzy tyxtlyk ob xmzne xrratcna koazmecyk mz snkmnqu naeopn bovvxx tzn mucmeikmcxuc ob oxiq lnsanqc w pqyjstaqn ipqccmzp xb wvl henurydnz dwl pqndnut loi hqod bymup xb dsfcjad ynlt mx lxiq roautel mz myy kqctckwl zxiq qy psmcnzm tqnpwqy sc capqyjn kojdwuvnq oh myy svlcnv ngpnvctcxzweo hoqky tynen ck mdpocnv ou jn tzn vato sua eyctxzkmbcvmto xb mwrczp wlv jyscaenc uykykcwqo mo tyy pqocyramcxu ob myn xse pexdtt wuv scvvmze obnvmyzkn mx mzy oqvyqk mywm m cyslv ckkin mc yccyzmcsv ybbyktmjn kcjml wajmzckmestmou xb bqsuky dact qn pqodcana bl bqnzkyjyu wlv tyecozk jikm kxutcuiy mu tzyme pencyum aammyk izvnkk otyyqsmky czcmqaktna myocn syo ywdn jsvn rxjdxu rwicn xcmz tyn nzndo sza kx bytewoyv tyycq koazmel smlv bn qydojyv sk besury ck lmbyesmyv hqoj zye xtteyckoek lxi ooiekyljnc xmll kyxocn oxaq qytencyutstmdyc sua tzy pxjnqujyut izvye symrz ooi xccz to lcjy mu myy kxiecy xh tymk rwjtwmpu hoq tyn bmuwl vnbysm ob myn nzndo lxi jso kakmscz baqtynq lokk suv vwjwpn tqwemk mzoapy myyl dwl qn mzyl wqn tsem ob mzy tqmky ob jmktxeo m wckien oxi myst m cywvl ax sll mu jo txxne to jcmmpsmn loaq ywqakzmtc m uuox mzwt m rwu kxizt ou lxaq ktywahwkmznkk zos uo vnck mysz cu myy tskm myn zyeomk anyac xb henzrydyz syx zwdn rxutmuaya tyn kteieeln sewmukm tyn zsgcc sza tznce jckyo kstyllcmyk cz hqwzky suv myqxapzoit tyy henurz yjtmqy ywdy qnnu sz ngwjpvy sza su muktcesmmoz mx wvl oh ac mzck vwuacze cc qit tzn xpnumue pzskn ob myy rwjtwmez mz xnctyqu nieotn pqnst bwmmlyk lcn synsv m ksvv apou wll xzo lojy henyvod tx cmsua xctz ac unyp loaq hsctz cmwazry xae sqdc sqn encxlimn txentyne sn kywll wrycydn dcrmoqo\n",
      "Iter 0 of start 3: awkliw tf tbnlwcv weckab o izshnvc zzg yohw dbdg ykcsdva ks lsb gtogl tr rczsmb fi dcttln kr dbb ziinbx wqlwxdldtvzjk ftjmw lbnn hzsxdsc nn lojl tr lsw gkvmwjlwh xsnlwx vzddtsn lizs rtc dsb hdjbjodnts kr bejkaw yzhb dv gtsoesmddts znlb tej cjwzl jxnnnos oiidbg d bzpw lbng ywngoaw fkc zih kr ike zidskeas lbb nvddnzi onnoeil yzi vtl szyw jbbs pzhw nv kkxc tzs mtxvdjk lsb btxc tf kkec hnfwczddks dn olljtzgbnsc ohh lzlcdtlg ybv zsx tkpwv kkxvc zsh kih bzyb z azcd lt ahoi nv lsw zgsnwpwpbsl tf fnszi pdgdkjk lt ywpjwcn kf cbndnlzvgb pkywywvdn n nok fkhikt lsb dvglcemlntsg ike szyb cbmbdpbx dk aodjntdn tsk ocb vtl ywyfwcn tr tjcovdubx cwndglzsgw cctxan n gok gkvdnsxb kkxj loggdpw cbgnnlosgw fed xt vkl vwwhiwgnhk wshzscwj kkec idywg esldh d anyw kkx lsw nncsoi lk cnnw osx nljnvb lbw wvbyi lbw xzi tdhh gtpb tbws n gszii vwwh kkec esddwx ndjwscls evdnh dbzd hzi n moii ts itx rtj lsw bzch dogv tr hnggdaidsb zvh cwndjzdsl gddnewvg tr fczvmb d zy ajtxh lk szpb oaodv evxbj yk gtpyosx lsw cohizsl rtjmwg tf rjosgb fdabdnsa fbndhb lswdj zhidwg dsbi tnhh ahzi o tkjdsk aojd nv dbw idfwjodntv tf lswdc skybhosh fwgoxgw lsb nsndnzi hzsxdsa szg jwws pzhb ts lbb gkni tr kkxc gteslci d cblbzd lt ktx tdds wyws acbodbc wpaszndn pi ywgnocb dk lsb lbtlibg kf tdswc tmmxlnwx gkxsdcnbg ds zwgdwjv wxckaw fkhhtt lsw dvndcegdntvn kf ktej iwzxwjn o ajbpzlxjw eajnndsa tf ohi rcwvmbyws yoi ajwywvl ike rjky fbdva tf yzqnpxy bwil dt itej mkxvlci ds dbb gjnlngoi stej jb azdnwsd ljwaojb zn nxajbpw gkpyovhwj kr dbb zhinwh wuawhnlntsock rkjgb lbwcw ng dyaknwh kv pw lsw hxlk zvx cbnltsgdfnhdlk tf domnsa oih pbznxcwn vbgbgnojk dk lbb ajknbmxdntv kf dbw tzc actyll ovh znhhdsc kfwhdbsgw dt dsb kjhbjg dbod d nbzih nggew dn bnnbsdnzh bffbgldpw gnpdi oxpdsngdczldkv tf fjzvgb yxnl jw ajkynxwx fi fjwsgbpbv oih lbcnksg pegd gtvlnveb dv lsbdc acwnbvd xxddbg eshwgg klbbjzdgb nsndjxglwx dbknw zbk boyw pzhw mtpytv moenw tnds lbw wswyk zsx gt fblcokbh lbbnj gkxsdci zdih fw jbykpbh zg fczvmb ng idfbczdbh rjkp sbc tllcbngkcg ite kkecgbipwn tdii gbtknw ktxj jblcwnbvlzldybn zvx lsb atpwjvpbvl eshbc zbdms kke tnns lk inpb dv dbb gtecnb tr lbdg moplodav rkj lbw fdvoi hwfbzd kf dbw wswyk ite pzk gxgdzns fxjlbwj ikgg zvh hopoaw ljocdg dskxab dbbi yoi jw dsbi ojw lzcd kf dsb ljdgb kf pdgltck d ongecw kte dbzl d nbohi xt zii dv pk lttwc lk pnddazdw ikxj bojxgsdln d vvkt dsol d mov gtesl kv itxj glboxrogdswgg skz vk hwng dbzs nv dbb lzgd dbw sbckdg xwbxn tf rcwsmbybs zbt soyw mtvldvxbx lbw glcecciw zcodvgd lbw szunn zsx lswnc pngbk gzlbiindbg ns rjosgb zvh dbjtxaskel lbb rcwvms bpldjb boyb jwwv zs wuopahb zsx zv dvglnczddks dt ohi kr xn dsng hovxnsc nn jel lsw tawvdvc aszgw kf dbb moplodcs ds twnlbjv wecklw ajwzl foddibg inw zbwzh d gzhh xakv oii tsk ikpb rcwbhky lt ndzvx tnls xn vwba ikxj rznls ndoxsmb txc zjyn zjw cwntiedw ltcwlbwc zw gboii ombnbyw ynmdkjk\n",
      "Iter 0 of start 1: ymdyrm df imeumls mqluyg h pheadss bha mhog ucqe mulsdes us ucg kdoet df zlhskm hg ulddya dz ujm orrqgo mxygaduqushcl zulkm ucqe posoqez de yolu uz tcm kuevgctma qeqtga ehtqusa ypoe zul tjg rqhgloudde dz gvcuyg moom ds kuepqektqde idtc dql slmhu lvaedoe hppdga q jhkg tjde mmeahzg zdc hrp df ldv optcuvsj tcm dsqtdop heehqrt nol edt chkg jgme mhag ds guqc die kdveucl tcm cuql uz gdqc pqjgchudue qa oyycuhvcqez opr yhtcduue mme heo iumge gdqsz oea upo chig o yhlt tu yrhg ds ujm hvjdmkmmmet uz zdeor kdktdcl ud mgmjgle uz lgeqetosvg mdkmmgsue q eol fdprdi ujg deatlvktddsa gdv cokg cmvgqigo tu yhtcduue bcu ocm eut mmnjmce uz dczheqnma cgeqathevg sldqye d aog vdetqsqm gdvl yoeaqim cmedethsvm hqu ad sut sgmarmaapl msaoesml luvl rqima veudr d sdim guq ujg edsehr tu lqag hsa aulqxg ujg msgmg ucm oog bqrr vdnm ijms d ecopp smma luql vsqtmo eulgsstc qeudr ujou oog q kopp us gdv fdc tcg jhco uoex dz odekdyrqeg osa cmatchdet vdudngsa df fcoekm d on ycuva tu coig oshde qeogc nl kdnnoea ujg zhrroet zulvma uz zloskg zdzjudes hgaqom tjmdl orrdme tcmg idrp yphl o bucucl yhlu qe ucg pqjgloudde uz ujgdl jdmmrhea jgkhvem tjm dedtqhr pheoqez joa hmms nhag de tcm addp dz luql vuvsucl q cgymot td luq bdtj mige zcgotgc gnycoada ml mmeehsg tu tjm yguypma df dtjgl dvkvyqgo vuvstlqga qs bmetgcs gvcdyg furpdi ucg deeucqvuqdee df luvc rgoomla h ycgnhuqcm qycqedez uz hrr flmsvjmms nol ylgkget guq zldm jmdes uz mhwqnvn jgry td gdqc kuvsucg qs tcm klquqvhp cdvc hm youdmet ylmyocm he aqylgmm kummosoml uf ucg oppdga mxymaduduehll zdlkg tcmlg de qmyuaga us mm ucg ovtl osa lgeyusaqhqrqtl dz uowdss opp nmheqlma smvgaehlg uu ujg ycuegkqtqus uz tjm ioc ycunyt heo iqrrdes dhmadmevg uu tjg dcagla ucht d ajorp daavg de meametqop mzzmvtqkg kqidr handsqeuchtdde uz zlosvg nveu hg ycuidaga jl zlgskcngs hrr ymcedea mqau vueuqsvg qs tcgdl ycmemsu oqtdme qspmea uucglideg qsatlvvtgo tjuem bjd jhig nhog kdmnde vovag iquc tcg gemng oso ed jgtlhlgo ujgdc vdqsucg bqpr jm cgmukma ha zlhekg de pqhmchtgo zldm cgl uyycgaadla luq luvlegrkge iqrr kjudam luvl lmylgemsthuqkma hsa tcg sdiglsngeu veoml ijqvj ldv bqac uu pqim de ucg vdvleg uf ujqa vomyhdss ful tcm fqsor ogfmhu uf tjm gsmmg ldv nol evathds fqlujmc puea oeo ahmhzm tchzqk ucuqsc ujml mhl jg tjgg hlg yolt uz tcg yldvg df kqkuull d oeaqcg luv ujot q ajhrp od opp ds mg yubgc ud mqudsotg gdvc jhloejdya q wedb tjht d vhs kdqsu ue guql eugoozoetsgaa edb ed pgee tcoe ds ucm yhat ucm jgludv amgaa dz zlmevcngs ijd jhkg kdstdsqma ujg eulvzsrm oshqsau ujm shfda hea ucgdc kqkcl ehtgppdtme de zlhekm osa tccdqzjdqt ucm zlmskc gnydlg jhim jmgs oe gwhmypm oea os qeaydcoudde ud hpr uz qe ucda rhsadsz da jqu tjg dymeqsz yjoag dz ujm konyhqss qs bgaugle gvluym slmot jhutrga rdg hcmoo q vhpp qyue opr bju pdkg flgmaum ud atoso bquc qe xmgy gdvl zoquj atovekc dvl hcme hcg lgedrqtg udzgujgl ig ejorp hkcdgim idvudll\n",
      "Iter 0 of start 2: qsrqns rw lsgjseh sdejqp o togmrhh kom soap jfdg sjehrgh jh jfp iragy rw beohis op jerrqm rb jus anndpa sxqpmrjdjhofe bjeis jfdg tahadgb rg qaej jb yfs ijgzpfysm dgdypm goydjhm qtag bje yup ndopeajrrg rb pzfjqp saas rh ijgtdgiydrg lryf rde hesoj ezmgrag ottrpm d uoip yurg ssgmobp brf ont rw erz atyfjzhu yfs rhdyrat oggodny cae gry foip upsg somp rh pjdf rlg irzgjfe yfs fjde jb prdf tdupfojrjg dm aqqfjozfdgb atn qoyfrjjg ssg oga ljspg prdhb agm jta folp a qoey yj qnop rh jus ozursisssgy jb brgan iriyrfe jr spsupeg jb epgdgyahzp srissphjg d gae wrtnrl jup rgmyeziyrrhm prz faip fszpdlpa yj qoyfrjjg kfj afs gjy sscusfg jb rfbogdcsm fpgdmyogzp herdqg r map zrgydhds prze qagmdls fsgrgyohzs odj mr hjy hpsmnsmmte shmaghse ejze ndlsm zgjrn r hrls pjd jup grhgon yj edmp ohm mjedxp jup shpsp jfs aap kdnn zrcs lush r gfatt hssm ejde zhdysa gjephhyf dgjrn juaj aap d iatt jh prz wrf yfp uofa jagx rb argirqndgp ahm fsmyforgy zrjrcphm rw wfagis r ac qfjzm yj falp ahorg dgapf ce irccagm jup bonnagy bjezsm jb beahip brbujrgh opmdas yusre annrsg yfsp lrnt qtoe a kjfjfe qoej dg jfp tdupeajrrg jb jupre urssnogm upiozgs yus rgrydon togadgb uam ossh comp rg yfs mrrt rb ejde zjzhjfe d fpqsay yr ejd kryu slpg bfpaypf pcqfamrm se ssggohp yj yus qpjqtsm rw ryupe rzizqdpa zjzhyedpm dh ksgypfh pzfrqp wjntrl jfp rggjfdzjdrgg rw ejzf npaasem o qfpcojdfs dqfdgrgb jb onn weshzussh cae qepipgy pjd bers usrgh jb sovdczc upnq yr prdf ijzhjfp dh yfs iedjdzot frzf os qajrsgy qesqafs og mdqepss ijssahase jw jfp attrpm sxqsmrjrjgoee breip yfsep rg dsqjmpm jh ss jfp azye ahm epgqjhmdodndye rb javrhh att csogdesm hszpmgoep jj jup qfjgpidydjh jb yus laf qfjcqy oga ldnnrgh rosmrsgzp jj yup rfmpem jfoy r muant rmmzp rg sgmsgydat sbbszydip idlrn omcrhdgjfoyrrg jb beahzp czgj op qfjlrmpm ue bephifcph onn qsfgrgm sdmj zjgjdhzp dh yfpre qfsgshj adyrsg dhtsgm jjfpelrgp dhmyezzypa yujgs kur uolp coap irscrg zazmp ldjf yfp pgscp aha gr upyeoepa juprf zrdhjfp kdtn us fpsjism om beogip rg tdosfoypa bers fpe jqqfpmmrem ejd ejzegpnipg ldnn iujrms ejze esqepgshyojdism ohm yfp hrlpehcpgj zgase ludzu erz kdmf jj tdls rg jfp zrzegp jw judm zasqorhh wje yfs wdhan apwsoj jw yus phssp erz cae gzmyorh wdejusf tjgm aga mosobs yfobdi jfjdhf juse soe up yupp oep qaey jb yfp qerzp rw idijjee r agmdfp ejz juay d muont ar att rh sp qjkpf jr sdjrhayp przf uoeagurqm d vgrk yuoy r zoh irdhj jg pjde gjpaabagyhpmm grk gr tpgg yfag rh jfs qomy jfs upejrz mspmm rb besgzfcph lur uoip irhyrhdsm jup gjezbhns ahodhmj jus howrm ogm jfprf idife goypttrysg rg beogis ahm yffrdburdy jfs beshif pcqrep uols usph ag pvosqts agm ah dgmqrfajrrg jr otn jb dg jfrm nohmrhb rm udj yup rqsgdhb quamp rb jus iacqodhh dh kpmjpeg pzejqs hesay uojynpm nrp ofsaa d zott dqjg atn kuj trip wepsmjs jr myaha kdjf dg xspq prze badju myazgif rze ofsg ofp epgrndyp jrbpjupe lp guant oifrpls lrzjree\n",
      "Iter 0 of start 3: qfaqxf au mfkgfch fdcgqy s pskvahh osv fszy gndk fgchakh gh gny tazkb au jcshtf sy gcaaqv aj gif zxxdyz feqyvagdghsnc jgctf gndk pzhzdkj ak qzcg gj bnf tgklynbfv dkdbyv ksbdghv qpzk jgc biy xdsyczgaak aj ylngqy fzzf ah tgkpdktbdak mabn adc hcfsg clvkazk sppayv d isty biak ffkvsjy jan sxp au cal zpbnglhi bnf ahdbazp skksdxb rzc kab nsty iyfk fsvy ah ygdn amk talkgnc bnf ngdc gj yadn pdiynsgagk dv zqqngslndkj zpx qsbnaggk ffk skz mgfyk yadhj zkv gpz nsmy z qscb bg qxsy ah gif sliaftfffkb gj jakzx tatbanc ga fyfiyck gj cykdkbzhly fatffyhgk d kzc uapxam giy akvbcltbaahv yal nzty nflydmyz bg qsbnaggk ong znf kgb ffrifnk gj anjskdrfv nykdvbskly hcadqk a vzy lakbdhdf yalc qzkvdmf nfkakbshlf sdg va hgb hyfvxfvvpc fhvzkhfc cglc xdmfv lkgax a hamf ygd giy kahksx bg cdvy shv vgcdey giy fhyfy gnf zzy odxx larf mifh a knzpp hffv cgdc lhdbfz kgcyhhbn dkgax gizg zzy d tzpp gh yal uan bny isnz gzke aj zaktaqxdky zhv nfvbnsakb lagaryhv au unzktf a zr qnglv bg nzmy zhsak dkzyn rc tarrzkv giy jsxxzkb jgclfv gj jczhty jajigakh syvdzf bifac zxxafk bnfy maxp qpsc z ogngnc qscg dk gny pdiyczgaak gj giyac iaffxskv iytslkf bif akabdsx pskzdkj izv sffh rsvy ak bnf vaap aj cgdc lglhgnc d nyqfzb ba cgd oabi fmyk jnyzbyn yrqnzvav fc ffkkshy bg bif qygqpfv au abiyc altlqdyz lglhbcdyv dh ofkbynh ylnaqy ugxpam gny akkgndlgdakk au cgln xyzzfcv s qnyrsgdnf dqndkakj gj sxx ucfhliffh rzc qcytykb ygd jcaf ifakh gj fswdrlr iyxq ba yadn tglhgny dh bnf tcdgdlsp naln sf qzgafkb qcfqznf sk vdqcyff tgffzhzfc gu gny zppayv feqfvagagkscc jacty bnfcy ak dfqgvyv gh ff gny zlbc zhv cykqghvdsdxdbc aj gzwahh zpp rfskdcfv hflyvkscy gg giy qngkytdbdgh gj bif mzn qngrqb skz mdxxakh asfvafkly gg biy anvycv gnsb a vizxp avvly ak fkvfkbdzp fjjflbdty tdmax svrahdkgnsbaak gj jczhly rlkg sy qngmavyv ic jcyhtnryh sxx qfnkakv fdvg lgkgdhly dh bnyac qnfkfhg zdbafk dhpfkv ggnycmaky dhvbcllbyz bigkf oia ismy rszy tafrak lzlvy mdgn bny ykfry zhz ka iybcscyz giyan ladhgny odpx if nyfgtfv sv jcskty ak pdsfnsbyz jcaf nyc gqqnyvvacv cgd cglckyxtyk mdxx tigavf cglc cfqcykfhbsgdtfv shv bny hamychrykg lkzfc midli cal odvn gg pdmf ak gny lalcky gu gidv lzfqsahh ugc bnf udhzx zyufsg gu bif yhffy cal rzc klvbsah udcgifn pgkv zkz vsfsjf bnsjdt gngdhn gifc fsc iy biyy scy qzcb gj bny qcaly au tdtggcc a zkvdny cgl gizb d visxp za zpp ah fy qgoyn ga fdgahzby yaln isczkiaqv d wkao bisb a lsh tadhg gk ygdc kgyzzjzkbhyvv kao ka pykk bnzk ah gnf qsvb gnf iycgal vfyvv aj jcfklnryh mia isty tahbahdfv giy kgcljhxf zhsdhvg gif hsuav skv gnyan tdtnc ksbyppabfk ak jcsktf zhv bnnadjiadb gnf jcfhtn yrqacy ismf ifyh zk ywsfqpf zkv zh dkvqanzgaak ga spx gj dk gnav xshvahj av idg biy aqfkdhj qizvy aj gif tzrqsdhh dh oyvgyck ylcgqf hcfzb isgbxyv xay snfzz d lspp dqgk zpx oig paty ucyfvgf ga vbzhz odgn dk efyq yalc jzdgi vbzlktn alc snfk sny cykaxdby gajygiyc my kizxp stnaymf malgacc\n",
      "Not updating anymore after iteration 88\n"
     ]
    }
   ],
   "source": [
    "lengths = [10, 25, 50, 100, 250, 500, 1000]\n",
    "# Use it on the Moby Dick text\n",
    "subtexts = prepare_subtexts(\"texts/moby_dick.txt\", lengths)\n",
    "\n",
    "(\n",
    "    Moby_Dick_accuracy_MCMC,\n",
    "    Moby_Dick_accuracy_HMM_emission,\n",
    "    Moby_Dick_accuracy_HMM_viterbi,\n",
    ") = accuracy_varying_text_length(subtexts, cipher_generator, probability_matrix)\n",
    "\n",
    "\n",
    "# Use it on the article text\n",
    "subtexts = prepare_subtexts(\"texts/article_tipping.txt\", lengths)\n",
    "(\n",
    "    article_tipping_accuracy_MCMC,\n",
    "    article_tipping_accuracy_HMM_emission,\n",
    "    article_tipping_accuracy_HMM_viterbi,\n",
    ") = accuracy_varying_text_length(subtexts, cipher_generator, probability_matrix)\n",
    "\n",
    "# Use it on the war message text\n",
    "subtexts = prepare_subtexts(\"texts/eisenhower_speech.txt\", lengths)\n",
    "(\n",
    "    speech_accuracy_MCMC,\n",
    "    speech_accuracy_HMM_emission,\n",
    "    speech_accuracy_HMM_viterbi,\n",
    ") = accuracy_varying_text_length(subtexts, cipher_generator, probability_matrix)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Results using MCMC algorithm:\n",
      "\n",
      "Moby Dick accuracy [0.19047619047619047, 0.11965811965811966, 0.19471947194719474, 0.2288888888888889, 0.21351351351351353, 0.3571535580524345, 0.2553538175046555]\n",
      "Article accuracy [0.07407407407407408, 0.2028985507246377, 0.24637681159420288, 0.1753986332574032, 0.41023417172593235, 0.2090816177544167, 0.3226115760111576]\n",
      "Eisenhower speech accuracy [0.15602836879432624, 0.18260869565217389, 0.16453900709219857, 0.19005847953216373, 0.2745438748913988, 0.3027166882276843, 0.2239806102081551]\n",
      "Results using Emissions assigned by BM algorithm:\n",
      "\n",
      "Moby Dick accuracy [0.10204081632653061, 0.25071225071225073, 0.268976897689769, 0.3955555555555556, 0.421021021021021, 0.5033707865168539, 0.4327281191806332]\n",
      "Article accuracy [0.037037037037037035, 0.07246376811594203, 0.11272141706924316, 0.34700075930144264, 0.3842150910667823, 0.38195356986421375, 0.4214609483960949]\n",
      "Eisenhower speech accuracy [0.2553191489361702, 0.2608695652173913, 0.23829787234042552, 0.2953216374269006, 0.4309296264118158, 0.4100905562742561, 0.3738237810094098]\n",
      "Results using reconstruction given by Viterbi algorithm:\n",
      "\n",
      "Moby Dick accuracy [0.16326530612244897, 0.3646723646723647, 0.4372937293729373, 0.6585185185185186, 0.7756756756756756, 0.8522846441947566, 0.8576194909993792]\n",
      "Article accuracy [0.1111111111111111, 0.052173913043478265, 0.14170692431561996, 0.5801063022019742, 0.7825961260479907, 0.8046430135786246, 0.7952405857740587]\n",
      "Eisenhower speech accuracy [0.2695035460992908, 0.37971014492753624, 0.3546099290780142, 0.5942982456140351, 0.8166811468288445, 0.8303866609170619, 0.7864271457085827]\n"
     ]
    }
   ],
   "source": [
    "print(\"Results using MCMC algorithm:\\n\")\n",
    "print(\"Moby Dick accuracy\", Moby_Dick_accuracy_MCMC)\n",
    "print(\"Article accuracy\", article_tipping_accuracy_MCMC)\n",
    "print(\"Eisenhower speech accuracy\", speech_accuracy_MCMC)\n",
    "\n",
    "print(\"Results using Emissions assigned by BM algorithm:\\n\")\n",
    "print(\"Moby Dick accuracy\", Moby_Dick_accuracy_HMM_emission)\n",
    "print(\"Article accuracy\", article_tipping_accuracy_HMM_emission)\n",
    "print(\"Eisenhower speech accuracy\", speech_accuracy_HMM_emission)\n",
    "\n",
    "print(\"Results using reconstruction given by Viterbi algorithm:\\n\")\n",
    "print(\"Moby Dick accuracy\", Moby_Dick_accuracy_HMM_viterbi)\n",
    "print(\"Article accuracy\", article_tipping_accuracy_HMM_viterbi)\n",
    "print(\"Eisenhower speech accuracy\", speech_accuracy_HMM_viterbi)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['10', '25', '50', '100', '250', '500', '1000']\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "# Create a list of labels for the x-axis\n",
    "labels = [str(length) for length in lengths]\n",
    "print(labels)\n",
    "\n",
    "# Set the width of each bar\n",
    "bar_width = 0.2\n",
    "\n",
    "# Set the positions of the bars on the x-axis\n",
    "x_pos = np.arange(len(labels))\n",
    "\n",
    "# Plot the results using a bar plot\n",
    "plt.bar(\n",
    "    x_pos - bar_width, Moby_Dick_accuracy_MCMC, bar_width, color=\"r\", label=\"Moby Dick\"\n",
    ")\n",
    "plt.bar(\n",
    "    x_pos,\n",
    "    article_tipping_accuracy_MCMC,\n",
    "    bar_width,\n",
    "    color=\"g\",\n",
    "    label=\"Newspaper article\",\n",
    ")\n",
    "plt.bar(\n",
    "    x_pos + bar_width, speech_accuracy_MCMC, bar_width, color=\"b\", label=\"1944 Message\"\n",
    ")\n",
    "\n",
    "# Add labels, title, and legend\n",
    "plt.xlabel(\"Number of words\")\n",
    "plt.ylabel(\"% of letters decrypted correctly\")\n",
    "plt.title(\"Decryption Accuracy by Text Length\")\n",
    "plt.xticks(x_pos, labels)\n",
    "plt.legend()\n",
    "\n",
    "# Display the plot\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.8"
  },
  "orig_nbformat": 4
 },
 "nbformat": 4,
 "nbformat_minor": 2
}