comparison_plots.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "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": 2,
   "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": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Initialize classes and obtain the matrix of probabilities by training on the provided text\n",
    "cipher_generator = CipherGenerator()\n",
    "preprocess = TextPreProcessor()\n",
    "text_encoder = TextEncoder()\n",
    "text_decoder = TextDecoder()\n",
    "\n",
    "\n",
    "# List of text file paths to build our corpus (where we learn the transitions probs)\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)\n",
    "\n",
    "\n",
    "# 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\n",
    "\n",
    "\n",
    "# compute the transition probs\n",
    "probability_matrix = ProbabilityMatrix(corpus)\n",
    "probability_matrix.compute_probability_table()  # table needed for MCMC method\n",
    "probability_matrix.compute_normalized_matrix()  # normalized matrix needed for HMM"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "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": 5,
   "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",
    "            encoded_text = text_encoder.encode_text(subtext, cipher)\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": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iter 0 of start 1: ijvnosx zllqpwrt ivzz qs ptjqvsz tlqs esvxt vrl\n",
      "Iter 0 of start 2: dgnpzah vkkoqufr dnvv oa qrgonav rkoa sanhr nfk\n",
      "Iter 0 of start 3: uotfkqe jsswhmag utjj wq hgowtqj gswq yqteg tas\n",
      "Not updating anymore after iteration 26\n",
      "Iter 0 of start 1: xlifvpc gddhonzm xigg hp omlhipg mdhp wpicm izd\n",
      "Iter 0 of start 2: fqzrdue ivvbmcho fzii bu moqbzui ovbu auzeo zhv\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 3: rocnytm zvvbqhaf rczz bt qfobctz fvbt stcmf cav\n",
      "Not updating anymore after iteration 26\n",
      "Iter 0 of start 1: cbdysfo kmmxlirw cdkk xf lwbxdfk wmxf gfdow drm\n",
      "Iter 0 of start 2: lgpstuj rnnbcoxe lprr bu cegbpur enbu aupje pxn\n",
      "Iter 0 of start 3: xtsbmqu pwwvcifr xspp vq crtvsqp rwvq gqsur sfw\n",
      "Not updating anymore after iteration 26\n",
      "Iter 0 of start 1: fiapmdh lkkuzcjg fall ud zgiuadl gkud wdahg ajk cdqdh uzct iko lkcj phdfzgdlw iaqzcj lzmmld kh\n",
      "Iter 0 of start 2: wqozhxs pffujmcv wopp ux jvquoxp vfux axosv ocf mxlxs ujmg qfd pfmc zsxwjvxpa qoljmc pjhhpx fs\n",
      "Iter 0 of start 3: ylezhkj dxxvtspn yedd vk tnlvekd nxvk mkejn epx skrkj vtsa lxi dxsp zjkytnkdm lertsp dthhdk xj\n",
      "Not updating anymore after iteration 48\n",
      "Iter 0 of start 1: yojhgkn vffeprbi yjvv ek pioejkv ifek ukjni jbf rkakn eprz ofw vfrb hnkypikvu ojaprb vpggvk fn\n",
      "Iter 0 of start 2: cvokswi huueazjf cohh ew afveowh fuew lwoif oju zwbwi eazy vur huzj kiwcafwhl vobazj hasshw ui\n",
      "Iter 0 of start 3: vwdposi yhhragxc vdyy rs acwrdsy chrs ksdic dxh gszsi ragt whu yhgx pisvacsyk wdzagx yaooys hi\n",
      "Not updating anymore after iteration 48\n",
      "Iter 0 of start 1: xarwctq hllfnmzd xrhh ft ndafrth dlft utrqd rzl mtetq fnmv alb hlmz wqtxndthu arenmz hnccht lq\n",
      "Iter 0 of start 2: xpvlmqi njjckbgd xvnn cq kdpcvqn djcq sqvid vgj bqyqi ckbr pjt njbg liqxkdqns pvykbg nkmmnq ji\n",
      "Iter 0 of start 3: btkquhr appglxzd bkaa gh ldtgkha dpgh jhkrd kzp xhshr glxi tpf apxz qrhbldhaj tkslxz aluuah pr\n",
      "Not updating anymore after iteration 48\n",
      "Iter 0 of start 1: lxmbyvs hzztgudj lmhh tv gjxtmvh jztv fvmsj mdz uvavs tguq xzw hzud bsvlgjvhf xmagud hgyyhv zs uz tzuvf gu tf besjv muq uzyxgud bmsyglehms yz guyvsvjy tv zu jxzsv g yxzedxy g\n",
      "Iter 0 of start 2: phrgkne assoycdz praa on yzhorna zson qnrez rds cnmne oycb hsx ascd genpyznaq hrmycd aykkan se cs oscnq yc oq gfezn rcb cskhycd grekypfare ks ycknenzk on sc zhsen y khsfdhk y\n",
      "Iter 0 of start 3: nfjlipv myyebaus njmm ep bsfejpm syep cpjvs juy apwpv ebax fyq myau lvpnbspmc fjwbau mbiimp yv ay eyapc ba ec lhvsp jax ayifbau ljvibnhmjv iy baipvpsi ep ya sfyvp b ifyhufi b\n",
      "Not updating anymore after iteration 50\n",
      "Iter 0 of start 1: dzauwfv keesnygq dakk sf nqzsafk qesf pfavq age yfrfv snyx zel keyg uvfdnqfkp zarnyg knwwkf ev ye seyfp ny sp ujvqf ayx yewznyg uavwndjkav we nywfvfqw sf ey qzevf n wzejgzw n\n",
      "Iter 0 of start 2: hxngcbw dkkaytlq hndd ab yqxanbd qkab pbnwq nlk tbmbw ayts xkr dktl gwbhyqbdp xnmytl dyccdb kw tk aktbp yt ap giwqb nts tkcxytl gnwcyhidnw ck ytcbwbqc ab kt qxkwb y cxkilxc y\n",
      "Iter 0 of start 3: kvtmqax rffyszup ktrr ya spvytar pfya iatxp tuf zacax yszh vfj rfzu mxakspari vtcszu rsqqra fx zf yfzai sz yi moxpa tzh zfqvszu mtxqskortx qf szqaxapq ya fz pvfxa s qvfouvq s\n",
      "Not updating anymore after iteration 50\n",
      "Iter 0 of start 1: dronvsi ljjwackg doll ws agrwosl gjws fsoig okj csesi wacu rjt ljck nisdagslf roeack lavvls ji cj wjcsf ac wf nbigs ocu cjvrack noivadbloi vj acvsisgv ws jc grjis a vrjbkrv a\n",
      "Iter 0 of start 2: qcymzvw bttduafs qybb dv uscdyvb stdv xvyws yft avgvw duap ctl btaf mwvqusvbx cyguaf buzzbv tw at dtavx ua dx mnwsv yap atzcuaf mywzuqnbyw zt uazvwvsz dv ta sctwv u zctnfcz u\n",
      "Iter 0 of start 3: afiwlvx neesjgkb ainn sv jbfsivn besv zvixb ike gvrvx sjgt fec negk wxvajbvnz firjgk njllnv ex ge segvz jg sz wqxbv igt gelfjgk wixljaqnix le jglvxvbl sv eg bfexv j lfeqkfl j\n",
      "Not updating anymore after iteration 50\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "([0.21666666666666667, 0.4261603375527426, 0.9976689976689976],\n",
       " [0.0, 0.6075949367088608, 0.7482517482517482],\n",
       " [0.275, 0.6582278481012658, 0.8041958041958042])"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lengths = [2 ** (i) for i in range(3, 6)]\n",
    "# An example which runs very fast\n",
    "subtexts = prepare_subtexts(\"texts/moby_dick.txt\", lengths=lengths)\n",
    "accuracy_varying_text_length(subtexts, cipher_generator, probability_matrix)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "lengths = [10, 25, 50, 100, 250, 500, 1000]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iter 0 of start 1: dteohwy kffrnzga dekk rw natrewk afrw uweya egf zwbwy rnzx\n",
      "Iter 0 of start 2: mqneoga dwwrzlbv mndd rg zvqrngd vwrg fgnav nbw lgiga rzly\n",
      "Iter 0 of start 3: rjqhkfe saagdnbo rqss gf dojgqfs oagf pfqeo qba nfwfe gdny\n",
      "Not updating anymore after iteration 42\n",
      "Iter 0 of start 1: qifnvar cwwsxtld qfcc sa xdisfac dwsa oafrd flw tapar sxte\n",
      "Iter 0 of start 2: vyusmnp zoobdfag vuzz bn dgybunz gobn wnupg uao fntnp bdfk\n",
      "Iter 0 of start 3: ivdqhjf trrwamny idtt wj ayvwdjt yrwj zjdfy dnr mjxjf wamc\n",
      "Not updating anymore after iteration 42\n",
      "Iter 0 of start 1: cywoutn bhhfrxpa cwbb ft rayfwtb ahft ktwna wph xtltn frxm\n",
      "Iter 0 of start 2: qtgysxu avvfzoli qgaa fx zitfgxa ivfx kxgui glv oxbxu fzoj\n",
      "Iter 0 of start 3: qmndkbp wzzacxsf qnww ab cfmanbw fzab gbnpf nsz xbybp acxr\n",
      "Not updating anymore after iteration 42\n",
      "Iter 0 of start 1: ybusowd paavfqgj yupp vw fjbvuwp javw xwudj uga qwiwd vfqn bac paqg sdwyfjwpx buifqg pfoopw ad qa vaqwx fq vx sedjw uqn qaobfqg sudofyepud oa\n",
      "Iter 0 of start 2: pgjlywf rsstnaov pjrr tw nvgtjwr vstw kwjfv jos awqwf tnax gsi rsao lfwpnvwrk gjqnao rnyyrw sf as tsawk na tk ldfvw jax asygnao ljfynpdrjf ys\n",
      "Iter 0 of start 3: tlmypku whhrxain tmww rk xnlrmkw nhrk fkmun mih akdku rxac lhj whai yuktxnkwf lmdxai wxppwk hu ah rhakf xa rf yqunk mac ahplxai ymupxtqwmu ph\n",
      "Not updating anymore after iteration 32\n",
      "Iter 0 of start 1: hniwvqc kuubpxly hikk bq pynbiqk yubq dqicy ilu xqeqc bpxa nuf kuxl wcqhpyqkd niepxl kpvvkq uc xu buxqd px bd wzcyq ixa xuvnpxl wicvphzkic vu\n",
      "Iter 0 of start 2: rzjyvlm wggxeiqn rjww xl enzxjlw ngxl tljmn jqg ilalm xeio zgp wgiq ymlrenlwt zjaeiq wevvwl gm ig xgilt ei xt ykmnl jio igvzeiq yjmverkwjm vg\n",
      "Iter 0 of start 3: kpmqbln uzzvatic kmuu vl acpvmlu czvl rlmnc miz tlyln vats pzh uzti qnlkaclur pmyati uabbul zn tz vztlr at vr qxncl mts tzbpati qmnbakxumn bz\n",
      "Not updating anymore after iteration 32\n",
      "Iter 0 of start 1: diftoja czzbelgx dfcc bj exibfjc xzbj yjfax fgz ljvja belh izk czlg tajdexjcy ifvelg ceoocj za lz bzljy el by tsaxj flh lzoielg tfaoedscfa oz\n",
      "Iter 0 of start 2: uqtmxib daahrgwy utdd hi ryqhtid yahi pitby twa gioib hrgz qac dagw mbiuryidp qtorgw drxxdi ab ga hagip rg hp mkbyi tgz gaxqrgw mtbxrukdtb xa\n",
      "Iter 0 of start 3: cwpyeig jttnxula cpjj ni xawnpij atni sipga plt uifig nxum wtk jtul ygicxaijs wpfxul jxeeji tg ut ntuis xu ns ydgai pum utewxul ypgexcdjpg et\n",
      "Not updating anymore after iteration 32\n",
      "Iter 0 of start 1: rjxiacb meeyfngu rxmm yc fujyxcm ueyc lcxbu xge ncwcb yfnd jeh meng ibcrfucml jxwfng mfaamc eb ne yencl fn yl isbuc xnd neajfng ixbafrsmxb ae fnacbcua yc en ujebc f ajesgja f hesmd uxfm xkesa x mfaamc xnd ucc ajc hxacbl ixba ev ajc hebmd fa fu x hxl f\n",
      "Iter 0 of start 2: slnvgtp zbbkiyoq snzz kt iqlkntz qbkt dtnpq nob ytwtp kiym lbf zbyo vptsiqtzd lnwiyo ziggzt bp yb kbytd iy kd vepqt nym ybgliyo vnpgiseznp gb iygtptqg kt by qlbpt i glbeolg i fbezm qniz njbeg n ziggzt nym qtt glt fngtpd vnpg br glt fbpzm ig iq n fnd i\n",
      "Iter 0 of start 3: izwyhjc soovudap iwss vj upzvwjs povj kjwcp wao djljc vudq zoe soda ycjiupjsk zwluda suhhsj oc do vodjk ud vk yncpj wdq dohzuda ywchuinswc ho udhjcjph vj od pzocj u hzonazh u eonsq pwus wgonh w suhhsj wdq pjj hzj ewhjck ywch of hzj eocsq uh up w ewk u\n",
      "Not updating anymore after iteration 32\n",
      "Iter 0 of start 1: abjdogx kvvsnmei ajkk sg nibsjgk ivsg wgjxi jev mgpgx snmz bvl kvme dxganigkw bjpnme knookg vx mv svmgw nm sw duxig jmz mvobnme djxonaukjx ov nmogxgio sg vm ibvxg n obvuebo n lvukz ijnk jfvuo j knookg jmz igg obg ljogxw djxo vq obg lvxkz no ni j ljw n\n",
      "Iter 0 of start 2: vxcneot gqqlwmyu vcgg lo wuxlcog uqlo roctu cyq mosot lwmf xqp gqmy ntovwuogr xcswmy gweego qt mq lqmor wm lr nituo cmf mqexwmy nctewvigct eq wmeotoue lo qm uxqto w exqiyxe w pqigf ucwg czqie c gweego cmf uoo exo pceotr ncte qh exo pqtgf we wu c pcr w\n",
      "Iter 0 of start 3: mhfaqun yjjbovpg mfyy bu oghbfuy gjbu rufng fpj vuzun bovk hje yjvp anumoguyr hfzovp yoqqyu jn vj bjvur ov br adngu fvk vjqhovp afnqomdyfn qj ovqunugq bu jv ghjnu o qhjdphq o ejdyk gfoy fsjdq f yoqqyu fvk guu qhu efqunr afnq jt qhu ejnyk oq og f efr o\n",
      "Not updating anymore after iteration 32\n",
      "Iter 0 of start 1: ohbnypr edditlfs obee ip tshibpe sdip apbrs bfd lpzpr itlq hdg edlf nrpotspea hbztlf etyyep dr ld idlpa tl ia ncrsp blq ldyhtlf nbrytocebr yd tlyprpsy ip dl shdrp t yhdcfhy t gdceq sbte bmdcy b etyyep blq spp yhp gbypra nbry dw yhp gdreq ty ts b gba t\n",
      "Iter 0 of start 2: okvtxeu ycclhszf ovyy le hfklvey fcle devuf vzc seneu lhsr kca ycsz tueohfeyd kvnhsz yhxxye cu sc lcsed hs ld tqufe vsr scxkhsz tvuxhoqyvu xc hsxeuefx le cs fkcue h xkcqzkx h acqyr fvhy vwcqx v yhxxye vsr fee xke avxeud tvux ci xke acuyr hx hf v avd h\n",
      "Iter 0 of start 3: ebmkjdy cssgtofq emcc gd tqbgmdc qsgd hdmyq mfs odpdy gtox bsz csof kydetqdch bmptof ctjjcd sy os gsodh to gh kwyqd mox osjbtof kmyjtewcmy js tojdydqj gd so qbsyd t jbswfbj t zswcx qmtc mlswj m ctjjcd mox qdd jbd zmjdyh kmyj sa jbd zsycx tj tq m zmh t\n",
      "Not updating anymore after iteration 32\n",
      "Iter 0 of start 1: qigrwlt xppzykuf qgxx zl yfizglx fpzl mlgtf gup klslt zykc ipa xpku rtlqyflxm igsyku xywwxl pt kp zpklm yk zm rbtfl gkc kpwiyku rgtwyqbxgt wp ykwltlfw zl pk fiptl y wipbuiw y apbxc fgyx gvpbw g xywwxl gkc fll wil agwltm rgtw po wil aptxc yw yf g agm y igsl po ctysyku poo wil frxllk gkc tlubxgwyku wil qytqbxgwypk ailklslt y oykc zmflxo utpayku utyz gvpbw wil zpbwi ailklslt yw yf g cgzr ctynnxm kpslzvlt yk zm fpbx ailklslt y oykc zmflxo ykspxbkwgtyxm rgbfyku vloptl qpooyk agtlipbflf gkc vtykuyku br wil tlgt po lsltm obkltgx y zllw gkc lfrlqygxxm\n",
      "Iter 0 of start 2: imavzhx rggjcuoy iarr jh cymjahr ygjh whaxy aog uhshx jcue mgf rguo vxhicyhrw mascuo rczzrh gx ug jguhw cu jw vqxyh aue ugzmcuo vaxzciqrax zg cuzhxhyz jh gu ymgxh c zmgqomz c fgqre yacr angqz a rczzrh aue yhh zmh fazhxw vaxz gp zmh fgxre cz cy a faw c mash gp excscuo gpp zmh yvrhhu aue xhoqrazcuo zmh icxiqrazcgu fmhuhshx c pcue jwyhrp oxgfcuo oxcj angqz zmh jgqzm fmhuhshx cz cy a eajv excddrw ugshjnhx cu jw ygqr fmhuhshx c pcue jwyhrp cusgrquzaxcrw vaqycuo nhpgxh igppcu faxhmgqyhy aue nxcuocuo qv zmh xhax gp hshxw pquhxar c jhhz aue hyvhicarrw\n",
      "Iter 0 of start 3: omsrhqa effwgily osee wq gymwsqe yfwq nqsay slf iqcqa wgix mfu efil raqogyqen mscgil eghheq fa if wfiqn gi wn rpayq six ifhmgil rsahgopesa hf gihqaqyh wq fi ymfaq g hmfplmh g ufpex ysge skfph s eghheq six yqq hmq ushqan rsah fz hmq ufaex gh gy s usn g mscq fz xagcgil fzz hmq yreqqi six aqlpeshgil hmq ogaopeshgfi umqiqcqa g zgix wnyqez lafugil lagw skfph hmq wfphm umqiqcqa gh gy s xswr xagvven ifcqwkqa gi wn yfpe umqiqcqa g zgix wnyqez gicfepihsagen rspygil kqzfaq ofzzgi usaqmfpyqy six kagilgil pr hmq aqsa fz qcqan zpiqase g wqqh six qyrqogseen\n",
      "Not updating anymore after iteration 43\n",
      "Iter 0 of start 1: xolzain pvvmyhbq xlpp mi yqomlip qvmi gilnq lbv hitin myhc ovu pvhb znixyqipg oltyhb pyaapi vn hv mvhig yh mg zrnqi lhc hvaoyhb zlnayxrpln av yhainiqa mi vh qovni y aovrboa y uvrpc qlyp levra l pyaapi lhc qii aoi ulaing zlna vd aoi uvnpc ya yq l ulg y olti vd cnytyhb vdd aoi qzpiih lhc nibrplayhb aoi xynxrplayvh uoihitin y dyhc mgqipd bnvuyhb bnym levra aoi mvrao uoihitin ya yq l clmz cnyffpg hvtimein yh mg qvrp uoihitin y dyhc mgqipd yhtvprhalnypg zlrqyhb eidvni xvddyh ulniovrqiq lhc enyhbyhb rz aoi niln vd iting drhinlp y miia lhc iqzixylppg\n",
      "Iter 0 of start 2: hnbyruv qssmtlaf hbqq mu tfnmbuq fsmu cubvf bas luouv mtlp nsi qsla yvuhtfuqc nbotla qtrrqu sv ls msluc tl mc ywvfu blp lsrntla ybvrthwqbv rs tlruvufr mu sl fnsvu t rnswanr t iswqp fbtq bxswr b qtrrqu blp fuu rnu ibruvc ybvr sj rnu isvqp tr tf b ibc t nbou sj pvtotla sjj rnu fyquul blp vuawqbrtla rnu htvhwqbrtsl inuluouv t jtlp mcfuqj avsitla avtm bxswr rnu mswrn inuluouv tr tf b pbmy pvtddqc lsoumxuv tl mc fswq inuluouv t jtlp mcfuqj tlosqwlrbvtqc ybwftla xujsvu hsjjtl ibvunswfuf blp xvtlatla wy rnu vubv sj uouvc jwluvbq t muur blp ufyuhtbqqc\n",
      "Iter 0 of start 3: qlcsuov izzgmekb qcii go mblgcoi bzgo pocvb ckz eojov gmea lzt izek svoqmboip lcjmek imuuio zv ez gzeop me gp shvbo cea ezulmek scvumqhicv uz meuovobu go ze blzvo m ulzhklu m tzhia bcmi cdzhu c imuuio cea boo ulo tcuovp scvu zn ulo tzvia mu mb c tcp m lcjo zn avmjmek znn ulo bsiooe cea vokhicumek ulo qmvqhicumze tloeojov m nmea gpboin kvztmek kvmg cdzhu ulo gzhul tloeojov mu mb c acgs avmwwip ezjogdov me gp bzhi tloeojov m nmea gpboin mejziheucvmip schbmek donzvo qznnme tcvolzhbob cea dvmekmek hs ulo vocv zn ojovp nheovci m goou cea obsoqmciip\n",
      "Not updating anymore after iteration 43\n",
      "Iter 0 of start 1: ljeavou dwwiqtxm ledd io qmjieod mwio noeum exw tosou iqtk jwz dwtx auolqmodn jesqtx dqvvdo wu tw iwton qt in apumo etk twvjqtx aeuvqlpdeu vw qtvouomv io wt mjwuo q vjwpxjv q zwpdk meqd erwpv e dqvvdo etk moo vjo zevoun aeuv wc vjo zwudk qv qm e zen q jeso wc kuqsqtx wcc vjo madoot etk uoxpdevqtx vjo lqulpdevqwt zjotosou q cqtk inmodc xuwzqtx xuqi erwpv vjo iwpvj zjotosou qv qm e keia kuqyydn twsoirou qt in mwpd zjotosou q cqtk inmodc qtswdptveuqdn aepmqtx rocwuo lwccqt zeuojwpmom etk ruqtxqtx pa vjo uoeu wc osoun cptoued q ioov etk omaolqeddn\n",
      "Iter 0 of start 2: tuavgip dmmksneq tadd ki squkaid qmki hiapq aem nixip ksno umz dmne vpitsqidh uaxsne dsggdi mp nm kmnih sn kh vlpqi ano nmgusne vapgstldap gm sngipiqg ki mn qumpi s gumleug s zmldo qasd abmlg a dsggdi ano qii gui zagiph vapg mf gui zmpdo sg sq a zah s uaxi mf opsxsne mff gui qvdiin ano pieldagsne gui tsptldagsmn zuinixip s fsno khqidf epmzsne epsk abmlg gui kmlgu zuinixip sg sq a oakv opswwdh nmxikbip sn kh qmld zuinixip s fsno khqidf snxmdlngapsdh valqsne bifmpi tmffsn zapiumlqiq ano bpsnesne lv gui piap mf ixiph flnipad s kiig ano iqvitsaddh\n",
      "Iter 0 of start 3: eutdoks yxxwamhi etyy wk aiuwtky ixwk jktsi thx mkpks wamb uxq yxmh dskeaikyj utpamh yaooyk xs mx wxmkj am wj dcsik tmb mxouamh dtsoaecyts ox amokskio wk xm iuxsk a ouxchuo a qxcyb itay tzxco t yaooyk tmb ikk ouk qtoksj dtso xn ouk qxsyb ao ai t qtj a utpk xn bsapamh xnn ouk idykkm tmb skhcytoamh ouk easecytoaxm qukmkpks a namb wjikyn hsxqamh hsaw tzxco ouk wxcou qukmkpks ao ai t btwd bsallyj mxpkwzks am wj ixcy qukmkpks a namb wjikyn ampxycmotsayj dtciamh zknxsk exnnam qtskuxciki tmb zsamhamh cd ouk skts xn kpksj ncmksty a wkko tmb kidkeatyyj\n",
      "Not updating anymore after iteration 43\n",
      "Iter 0 of start 1: cxedasl rmmtbguq cerr ts bqxtesr qmts jselq eum gswsl tbgv xmh rmgu dlscbqsrj xewbgu rbaars ml gm tmgsj bg tj dolqs egv gmaxbgu delabcorel am bgaslsqa ts mg qxmls b axmouxa b hmorv qebr epmoa e rbaars egv qss axs heaslj dela mf axs hmlrv ba bq e hej b xews mf vlbwbgu mff axs qdrssg egv lsuoreabgu axs cblcoreabmg hxsgswsl b fbgv tjqsrf ulmhbgu ulbt epmoa axs tmoax hxsgswsl ba bq e vetd vlbzzrj gmwstpsl bg tj qmor hxsgswsl b fbgv tjqsrf bgwmrogaelbrj deoqbgu psfmls cmffbg helsxmoqsq egv plbgubgu od axs lsel mf swslj fogsler b tssa egv sqdscberrj hxsgswsl tj xjdmq usa qocx eg oddsl xegv mf ts axea ba lskoblsq e qalmgu tmler dlbgcbdrs am dlswsga ts flmt vsrbpsleasrj qasddbgu bgam axs qalssa egv tsaxmvbcerrj ygmcybgu dsmdrs q xeaq mff axsg b eccmoga ba xbux abts am usa am qse eq qmmg eq b ceg axbq bq tj qopqabaoas fml dbqamr egv perr hbax e dxbrmqmdxbcer frmolbqx ceam axlmhq xbtqsrf odmg xbq qhmlv b kobsarj aeys am axs qxbd axsls bq gmaxbgu qoldlbqbgu bg axbq bf axsj poa ygsh ba ertmqa err tsg bg axsbl vsulss qmts abts ml maxsl cxslbqx wslj gselrj axs qets fssrbguq amhelvq axs mcseg hbax ts axsls gmh bq jmol bgqorel cbaj mf axs tegxeaamsq psrasv lmogv pj hxelwsq eq bgvbeg bqrsq pj cmler lssfq cmttslcs qollmogvq ba hbax xsl qolf lbuxa egv rsfa axs qalssaq aeys jmo heaslhelv baq snalsts vmhgamhg bq axs peaaslj hxsls axea gmprs tmrs bq heqxsv pj\n",
      "Iter 0 of start 2: xomfzgt iuulrjad xmii lg rdolmgi dulg hgmtd mau jgngt lrjw oup iuja ftgxrdgih omnrja irzzig ut ju lujgh rj lh fetdg mjw juzorja fmtzrxeimt zu rjzgtgdz lg uj doutg r zoueaoz r pueiw dmri mvuez m irzzig mjw dgg zog pmzgth fmtz uy zog putiw rz rd m pmh r omng uy wtrnrja uyy zog dfiggj mjw tgaeimzrja zog xrtxeimzruj pogjgngt r yrjw lhdgiy atuprja atrl mvuez zog luezo pogjgngt rz rd m wmlf wtrqqih junglvgt rj lh duei pogjgngt r yrjw lhdgiy rjnuiejzmtrih fmedrja vgyutg xuyyrj pmtgouedgd mjw vtrjarja ef zog tgmt uy gngth yejgtmi r lggz mjw gdfgxrmiih pogjgngt lh ohfud agz dexo mj effgt omjw uy lg zomz rz tgcertgd m dztuja lutmi ftrjxrfig zu ftgngjz lg ytul wgirvgtmzgih dzgffrja rjzu zog dztggz mjw lgzouwrxmiih kjuxkrja fgufig d omzd uyy zogj r mxxuejz rz orao zrlg zu agz zu dgm md duuj md r xmj zord rd lh devdzrzezg yut frdzui mjw vmii przo m foriuduforxmi yiuetrdo xmzu zotupd orldgiy efuj ord dputw r cergzih zmkg zu zog dorf zogtg rd juzorja detftrdrja rj zord ry zogh vez kjgp rz miludz mii lgj rj zogrt wgatgg dulg zrlg ut uzogt xogtrdo ngth jgmtih zog dmlg yggirjad zupmtwd zog uxgmj przo lg zogtg jup rd huet rjdeimt xrzh uy zog lmjomzzugd vgizgw tuejw vh pomtngd md rjwrmj rdigd vh xutmi tggyd xullgtxg dettuejwd rz przo ogt dety traoz mjw igyz zog dztggzd zmkg hue pmzgtpmtw rzd gbztglg wupjzupj rd zog vmzzgth pogtg zomz juvig luig rd pmdogw vh\n",
      "Iter 0 of start 3: oetkumg vssayrqp otvv am ypeatmv psam nmtgp tqs rmcmg ayrz esx vsrq kgmoypmvn etcyrq vyuuvm sg rs asrmn yr an kwgpm trz rsueyrq ktguyowvtg us yrumgmpu am sr pesgm y ueswqeu y xswvz ptyv tiswu t vyuuvm trz pmm uem xtumgn ktgu sf uem xsgvz yu yp t xtn y etcm sf zgycyrq sff uem pkvmmr trz gmqwvtuyrq uem oygowvtuysr xemrmcmg y fyrz anpmvf qgsxyrq qgya tiswu uem aswue xemrmcmg yu yp t ztak zgybbvn rscmaimg yr an pswv xemrmcmg y fyrz anpmvf yrcsvwrutgyvn ktwpyrq imfsgm osffyr xtgmeswpmp trz igyrqyrq wk uem gmtg sf mcmgn fwrmgtv y ammu trz mpkmoytvvn xemrmcmg an enksp qmu pwoe tr wkkmg etrz sf am uetu yu gmdwygmp t pugsrq asgtv kgyroykvm us kgmcmru am fgsa zmvyimgtumvn pumkkyrq yrus uem pugmmu trz amueszyotvvn hrsohyrq kmskvm p etup sff uemr y tooswru yu eyqe uyam us qmu us pmt tp pssr tp y otr ueyp yp an pwipuyuwum fsg kypusv trz itvv xyue t keyvspskeyotv fvswgype otus uegsxp eyapmvf wksr eyp pxsgz y dwymuvn uthm us uem peyk uemgm yp rsueyrq pwgkgypyrq yr ueyp yf uemn iwu hrmx yu tvaspu tvv amr yr uemyg zmqgmm psam uyam sg suemg oemgype cmgn rmtgvn uem ptam fmmvyrqp usxtgzp uem somtr xyue am uemgm rsx yp nswg yrpwvtg oyun sf uem atretuusmp imvumz gswrz in xetgcmp tp yrzytr ypvmp in osgtv gmmfp osaamgom pwggswrzp yu xyue emg pwgf gyqeu trz vmfu uem pugmmup uthm nsw xtumgxtgz yup mjugmam zsxrusxr yp uem ituumgn xemgm uetu rsivm asvm yp xtpemz in\n",
      "Not updating anymore after iteration 26\n",
      "Iter 0 of start 1: aivfmds ouujpcgl avoo jd plijvdo lujd qdvsl vgu cdhds jpck iun oucg fsdapldoq ivhpcg opmmod us cu jucdq pc jq fzsld vck cumipcg fvsmpazovs mu pcmdsdlm jd uc liusd p miuzgim p nuzok lvpo vbuzm v opmmod vck ldd mid nvmdsq fvsm ue mid nusok pm pl v nvq p ivhd ue ksphpcg uee mid lfoddc vck sdgzovmpcg mid apsazovmpuc nidcdhds p epck jqldoe gsunpcg gspj vbuzm mid juzmi nidcdhds pm pl v kvjf kspttoq cuhdjbds pc jq luzo nidcdhds p epck jqldoe pchuozcmvspoq fvzlpcg bdeusd aueepc nvsdiuzldl vck bspcgpcg zf mid sdvs ue dhdsq ezcdsvo p jddm vck dlfdapvooq nidcdhds jq iqful gdm lzai vc zffds ivck ue jd mivm pm sdwzpsdl v lmsucg jusvo fspcapfod mu fsdhdcm jd esuj kdopbdsvmdoq lmdffpcg pcmu mid lmsddm vck jdmiukpavooq rcuarpcg fdufod l ivml uee midc p vaauzcm pm ipgi mpjd mu gdm mu ldv vl luuc vl p avc mipl pl jq lzblmpmzmd eus fplmuo vck bvoo npmi v fipoulufipavo eouzspli avmu misunl ipjldoe zfuc ipl lnusk p wzpdmoq mvrd mu mid lipf midsd pl cumipcg lzsfsplpcg pc mipl pe midq bzm rcdn pm vojulm voo jdc pc midps kdgsdd lujd mpjd us umids aidspli hdsq cdvsoq mid lvjd eddopcgl munvskl mid uadvc npmi jd midsd cun pl quzs pclzovs apmq ue mid jvcivmmudl bdomdk suzck bq nivshdl vl pckpvc plodl bq ausvo sddel aujjdsad lzssuzckl pm npmi ids lzse spgim vck odem mid lmsddml mvrd quz nvmdsnvsk pml dymsdjd kuncmunc pl mid bvmmdsq nidsd mivm cubod juod pl nvlidk bq\n",
      "Iter 0 of start 2: rfkwatz cqqopnjh rkcc ot phfoktc hqot vtkzh kjq ntetz opni fqx cqnj wztrphtcv fkepnj cpaact qz nq oqntv pn ov wszht kni nqafpnj wkzaprsckz aq pnatztha ot qn hfqzt p afqsjfa p xqsci hkpc kdqsa k cpaact kni htt aft xkatzv wkza qy aft xqzci pa ph k xkv p fket qy izpepnj qyy aft hwcttn kni ztjsckapnj aft rpzrsckapqn xftntetz p ypni ovhtcy jzqxpnj jzpo kdqsa aft oqsaf xftntetz pa ph k ikow izpmmcv nqetodtz pn ov hqsc xftntetz p ypni ovhtcy pneqcsnakzpcv wkshpnj dtyqzt rqyypn xkztfqshth kni dzpnjpnj sw aft ztkz qy tetzv ysntzkc p otta kni thwtrpkccv xftntetz ov fvwqh jta hsrf kn swwtz fkni qy ot afka pa ztuspzth k hazqnj oqzkc wzpnrpwct aq wztetna ot yzqo itcpdtzkatcv hatwwpnj pnaq aft haztta kni otafqiprkccv lnqrlpnj wtqwct h fkah qyy aftn p krrqsna pa fpjf apot aq jta aq htk kh hqqn kh p rkn afph ph ov hsdhapasat yqz wphaqc kni dkcc xpaf k wfpcqhqwfprkc ycqszphf rkaq afzqxh fpohtcy swqn fph hxqzi p usptacv aklt aq aft hfpw aftzt ph nqafpnj hszwzphpnj pn afph py aftv dsa lntx pa kcoqha kcc otn pn aftpz itjztt hqot apot qz qaftz rftzphf etzv ntkzcv aft hkot yttcpnjh aqxkzih aft qrtkn xpaf ot aftzt nqx ph vqsz pnhsckz rpav qy aft oknfkaaqth dtcati zqsni dv xfkzeth kh pnipkn phcth dv rqzkc zttyh rqootzrt hszzqsnih pa xpaf ftz hszy zpjfa kni ctya aft hazttah aklt vqs xkatzxkzi pah tbaztot iqxnaqxn ph aft dkaatzv xftzt afka nqdct oqct ph xkhfti dv\n",
      "Iter 0 of start 3: vthjwdu leekofyp vhll kd optkhdl pekd xdhup hye fdadu kofs ter lefy judvopdlx thaofy lowwld eu fe kefdx of kx jiupd hfs fewtofy jhuwovilhu we ofwdudpw kd ef pteud o wteiytw o reils phol hzeiw h lowwld hfs pdd wtd rhwdux jhuw eq wtd reuls ow op h rhx o thad eq suoaofy eqq wtd pjlddf hfs udyilhwofy wtd vouvilhwoef rtdfdadu o qofs kxpdlq yuerofy yuok hzeiw wtd keiwt rtdfdadu ow op h shkj suommlx feadkzdu of kx peil rtdfdadu o qofs kxpdlq ofaelifwhuolx jhipofy zdqeud veqqof rhudteipdp hfs zuofyofy ij wtd udhu eq dadux qifduhl o kddw hfs dpjdvohllx rtdfdadu kx txjep ydw pivt hf ijjdu thfs eq kd wthw ow udgioudp h pwuefy keuhl juofvojld we judadfw kd quek sdlozduhwdlx pwdjjofy ofwe wtd pwuddw hfs kdwtesovhllx nfevnofy jdejld p thwp eqq wtdf o hvveifw ow toyt wokd we ydw we pdh hp peef hp o vhf wtop op kx pizpwowiwd qeu jopwel hfs zhll rowt h jtolepejtovhl qleiuopt vhwe wtuerp tokpdlq ijef top preus o giodwlx whnd we wtd ptoj wtdud op fewtofy piujuopofy of wtop oq wtdx ziw nfdr ow hlkepw hll kdf of wtdou sdyudd pekd wokd eu ewtdu vtduopt adux fdhulx wtd phkd qddlofyp werhusp wtd evdhf rowt kd wtdud fer op xeiu ofpilhu vowx eq wtd khfthwwedp zdlwds ueifs zx rthuadp hp ofsohf opldp zx veuhl uddqp vekkduvd piuueifsp ow rowt tdu piuq uoytw hfs ldqw wtd pwuddwp whnd xei rhwdurhus owp dcwudkd serfwerf op wtd zhwwdux rtdud wthw fezld keld op rhptds zx\n",
      "Not updating anymore after iteration 26\n",
      "Iter 0 of start 1: hnuqjwt addopeym huaa ow pmnouwa mdow vwutm uyd ewkwt oper ndf adey qtwhpmwav nukpey apjjaw dt ed odewv pe ov qgtmw uer edjnpey qutjphgaut jd pejwtwmj ow de mndtw p jndgynj p fdgar mupa ucdgj u apjjaw uer mww jnw fujwtv qutj dx jnw fdtar pj pm u fuv p nukw dx rtpkpey dxx jnw mqawwe uer twygaujpey jnw hpthgaujpde fnwewkwt p xper ovmwax ytdfpey ytpo ucdgj jnw odgjn fnwewkwt pj pm u ruoq rtpzzav edkwocwt pe ov mdga fnwewkwt p xper ovmwax pekdagejutpav qugmpey cwxdtw hdxxpe futwndgmwm uer ctpeypey gq jnw twut dx wkwtv xgewtua p owwj uer wmqwhpuaav fnwewkwt ov nvqdm ywj mghn ue gqqwt nuer dx ow jnuj pj twigptwm u mjtdey odtua qtpehpqaw jd qtwkwej ow xtdo rwapcwtujwav mjwqqpey pejd jnw mjtwwj uer owjndrphuaav bedhbpey qwdqaw m nujm dxx jnwe p uhhdgej pj npyn jpow jd ywj jd mwu um mdde um p hue jnpm pm ov mgcmjpjgjw xdt qpmjda uer cuaa fpjn u qnpadmdqnphua xadgtpmn hujd jntdfm npomwax gqde npm mfdtr p igpwjav jubw jd jnw mnpq jnwtw pm edjnpey mgtqtpmpey pe jnpm px jnwv cgj bewf pj uaodmj uaa owe pe jnwpt rwytww mdow jpow dt djnwt hnwtpmn kwtv ewutav jnw muow xwwapeym jdfutrm jnw dhwue fpjn ow jnwtw edf pm vdgt pemgaut hpjv dx jnw ouenujjdwm cwajwr tdger cv fnutkwm um perpue pmawm cv hdtua twwxm hdoowthw mgttdgerm pj fpjn nwt mgtx tpynj uer awxj jnw mjtwwjm jubw vdg fujwtfutr pjm wsjtwow rdfejdfe pm jnw cujjwtv fnwtw jnuj edcaw odaw pm fumnwr cv\n",
      "Iter 0 of start 2: axcbhsm zgglekro aczz ls eoxlcsz ogls pscmo crg ksdsm lekq xgv zgkr bmsaeoszp xcdekr zehhzs gm kg lgksp ek lp bnmos ckq kghxekr bcmheanzcm hg ekhsmsoh ls gk oxgms e hxgnrxh e vgnzq ocez cwgnh c zehhzs ckq oss hxs vchsmp bcmh gy hxs vgmzq eh eo c vcp e xcds gy qmedekr gyy hxs obzssk ckq msrnzchekr hxs aemanzchegk vxsksdsm e yekq lposzy rmgvekr rmel cwgnh hxs lgnhx vxsksdsm eh eo c qclb qmettzp kgdslwsm ek lp ognz vxsksdsm e yekq lposzy ekdgznkhcmezp bcnoekr wsygms agyyek vcmsxgnoso ckq wmekrekr nb hxs mscm gy sdsmp ynksmcz e lssh ckq sobsaeczzp vxsksdsm lp xpbgo rsh onax ck nbbsm xckq gy ls hxch eh msjnemso c ohmgkr lgmcz bmekaebzs hg bmsdskh ls ymgl qszewsmchszp ohsbbekr ekhg hxs ohmssh ckq lshxgqeaczzp ikgaiekr bsgbzs o xcho gyy hxsk e caagnkh eh xerx hels hg rsh hg osc co oggk co e ack hxeo eo lp onwohehnhs ygm beohgz ckq wczz vehx c bxezgogbxeacz yzgnmeox achg hxmgvo xeloszy nbgk xeo ovgmq e jneshzp hcis hg hxs oxeb hxsms eo kghxekr onmbmeoekr ek hxeo ey hxsp wnh iksv eh czlgoh czz lsk ek hxsem qsrmss ogls hels gm ghxsm axsmeox dsmp kscmzp hxs ocls ysszekro hgvcmqo hxs gasck vehx ls hxsms kgv eo pgnm ekonzcm aehp gy hxs lckxchhgso wszhsq mgnkq wp vxcmdso co ekqeck eozso wp agmcz mssyo agllsmas onmmgnkqo eh vehx xsm onmy merxh ckq zsyh hxs ohmssho hcis pgn vchsmvcmq eho sfhmsls qgvkhgvk eo hxs wchhsmp vxsms hxch kgwzs lgzs eo vcoxsq wp\n",
      "Iter 0 of start 3: iolgmyv cffwsaqh ilcc wy showlyc hfwy tylvh lqf ayuyv wsan ofb cfaq gvyishyct olusaq csmmcy fv af wfayt sa wt gzvhy lan afmosaq glvmsizclv mf samyvyhm wy fa hofvy s mofzqom s bfzcn hlsc lkfzm l csmmcy lan hyy moy blmyvt glvm fx moy bfvcn sm sh l blt s oluy fx nvsusaq fxx moy hgcyya lan vyqzclmsaq moy isvizclmsfa boyayuyv s xsan wthycx qvfbsaq qvsw lkfzm moy wfzmo boyayuyv sm sh l nlwg nvsrrct afuywkyv sa wt hfzc boyayuyv s xsan wthycx saufczamlvsct glzhsaq kyxfvy ifxxsa blvyofzhyh lan kvsaqsaq zg moy vylv fx yuyvt xzayvlc s wyym lan yhgyislcct boyayuyv wt otgfh qym hzio la zggyv olan fx wy molm sm vydzsvyh l hmvfaq wfvlc gvsaisgcy mf gvyuyam wy xvfw nycskyvlmyct hmyggsaq samf moy hmvyym lan wymofnsilcct pafipsaq gyfgcy h olmh fxx moya s liifzam sm osqo mswy mf qym mf hyl lh hffa lh s ila mosh sh wt hzkhmsmzmy xfv gshmfc lan klcc bsmo l goscfhfgosilc xcfzvsho ilmf movfbh oswhycx zgfa osh hbfvn s dzsymct mlpy mf moy hosg moyvy sh afmosaq hzvgvshsaq sa mosh sx moyt kzm payb sm lcwfhm lcc wya sa moysv nyqvyy hfwy mswy fv fmoyv ioyvsho uyvt aylvct moy hlwy xyycsaqh mfblvnh moy fiyla bsmo wy moyvy afb sh tfzv sahzclv ismt fx moy wlaolmmfyh kycmyn vfzan kt bolvuyh lh sansla shcyh kt ifvlc vyyxh ifwwyviy hzvvfzanh sm bsmo oyv hzvx vsqom lan cyxm moy hmvyymh mlpy tfz blmyvblvn smh yjmvywy nfbamfba sh moy klmmyvt boyvy molm afkcy wfcy sh blhoyn kt\n",
      "Not updating anymore after iteration 26\n",
      "Iter 0 of start 1: zqacxye loovtnjw zall vy twqvayl wovy iyaew ajo nyfye vtns qoh lonj ceyztwyli qaftnj ltxxly oe no vonyi tn vi cbewy ans noxqtnj caextzblae xo tnxyeywx vy on wqoey t xqobjqx t hobls watl arobx a ltxxly ans wyy xqy haxyei caex ou xqy hoels tx tw a hai t qafy ou setftnj ouu xqy wclyyn ans eyjblaxtnj xqy ztezblaxton hqynyfye t utns viwylu jeohtnj jetv arobx xqy vobxq hqynyfye tx tw a savc setppli nofyvrye tn vi wobl hqynyfye t utns viwylu tnfolbnxaetli cabwtnj ryuoey zouutn haeyqobwyw ans retnjtnj bc xqy eyae ou yfyei ubnyeal t vyyx ans ywcyztalli hqynyfye vi qicow jyx wbzq an bccye qans ou vy xqax tx eykbteyw a wxeonj voeal cetnztcly xo ceyfynx vy ueov syltryeaxyli wxycctnj tnxo xqy wxeyyx ans vyxqostzalli gnozgtnj cyocly w qaxw ouu xqyn t azzobnx tx qtjq xtvy xo jyx xo wya aw woon aw t zan xqtw tw vi wbrwxtxbxy uoe ctwxol ans rall htxq a cqtlowocqtzal ulobetwq zaxo xqeohw qtvwylu bcon qtw whoes t kbtyxli xagy xo xqy wqtc xqyey tw noxqtnj wbecetwtnj tn xqtw tu xqyi rbx gnyh tx alvowx all vyn tn xqyte syjeyy wovy xtvy oe oxqye zqyetwq fyei nyaeli xqy wavy uyyltnjw xohaesw xqy ozyan htxq vy xqyey noh tw iobe tnwblae ztxi ou xqy vanqaxxoyw rylxys eobns ri hqaefyw aw tnstan twlyw ri zoeal eyyuw zovvyezy wbeeobnsw tx htxq qye wbeu etjqx ans lyux xqy wxeyyxw xagy iob haxyehaes txw ydxeyvy sohnxohn tw xqy raxxyei hqyey xqax norly voly tw hawqys ri hafyw ans zoolys ri reyypyw hqtzq a uyh qobew ceyftobw hyey obx ou wtjqx ou lans loog ax xqy zeohsw ou haxye japyew xqyey ztezbvavrblaxy xqy ztxi ou a seyavi warraxq auxyenoon jo ueov zoelyaew qoog xo zoynxtyw wltc ans ueov xqynzy ri hqtxyqall noexqhaes hqax so iob wyy cowxys ltgy wtlynx wynxtnylw all aeobns xqy xohn wxans xqobwansw bcon xqobwansw ou voexal vyn utdys tn ozyan eyfyetyw wovy lyantnj ajatnwx xqy wctlyw wovy wyaxys bcon xqy ctye qyasw wovy loogtnj ofye xqy rblhaegw ou wqtcw ueov zqtna wovy qtjq aloux tn xqy etjjtnj aw tu wxetftnj xo jyx a wxtll ryxxye wyahaes cyyc rbx xqywy aey all lanswvyn ou hyyg saiw cynx bc tn laxq ans clawxye xtys xo zobnxyew natlys xo rynzqyw zltnzqys xo sywgw qoh xqyn tw xqtw aey xqy jeyyn utylsw jony hqax so xqyi qyey rbx loog qyey zovy voey zeohsw caztnj wxeatjqx uoe xqy haxye ans wyyvtnjli robns uoe a stfy wxeanjy noxqtnj htll zonxynx xqyv rbx xqy ydxeyvywx ltvtx ou xqy lans lotxyetnj bnsye xqy wqasi lyy ou ionsye haeyqobwyw htll nox wbuutzy no xqyi vbwx jyx mbwx aw ntjq xqy haxye aw xqyi cowwtrli zan htxqobx ualltnj tn ans xqyey xqyi wxans vtlyw ou xqyv lyajbyw tnlansyew all xqyi zovy ueov lanyw ans allyiw wxeyyxw ans afynbyw noexq yawx wobxq ans hywx iyx qyey xqyi all bntxy xyll vy soyw xqy vajnyxtz ftexby ou xqy nyyslyw ou xqy zovcawwyw ou all xqowy wqtcw axxeazx xqyv xqtxqye onzy voey wai iob aey tn\n",
      "Iter 0 of start 2: egxltki ynnvursz exyy vk uzgvxky znvk jkxiz xsn rkqki vurm gnw ynrs likeuzkyj gxqurs yuttyk ni rn vnrkj ur vj loizk xrm rntgurs lxitueoyxi tn urtkikzt vk nr zgnik u tgnosgt u wnoym zxuy xpnot x yuttyk xrm zkk tgk wxtkij lxit nf tgk wniym ut uz x wxj u gxqk nf miuqurs nff tgk zlykkr xrm iksoyxturs tgk euieoyxtunr wgkrkqki u furm vjzkyf sinwurs siuv xpnot tgk vnotg wgkrkqki ut uz x mxvl miuddyj rnqkvpki ur vj znoy wgkrkqki u furm vjzkyf urqnyortxiuyj lxozurs pkfnik enffur wxikgnozkz xrm piursurs ol tgk ikxi nf kqkij forkixy u vkkt xrm kzlkeuxyyj wgkrkqki vj gjlnz skt zoeg xr ollki gxrm nf vk tgxt ut ikbouikz x ztinrs vnixy liureulyk tn likqkrt vk finv mkyupkixtkyj ztkllurs urtn tgk ztikkt xrm vktgnmuexyyj crnecurs lknlyk z gxtz nff tgkr u xeenort ut gusg tuvk tn skt tn zkx xz znnr xz u exr tguz uz vj zopztutotk fni luztny xrm pxyy wutg x lguynznlguexy fynoiuzg extn tginwz guvzkyf olnr guz zwnim u bouktyj txck tn tgk zgul tgkik uz rntgurs zoiliuzurs ur tguz uf tgkj pot crkw ut xyvnzt xyy vkr ur tgkui mksikk znvk tuvk ni ntgki egkiuzg qkij rkxiyj tgk zxvk fkkyursz tnwximz tgk nekxr wutg vk tgkik rnw uz jnoi urzoyxi eutj nf tgk vxrgxttnkz pkytkm inorm pj wgxiqkz xz urmuxr uzykz pj enixy ikkfz envvkiek zoiinormz ut wutg gki zoif iusgt xrm ykft tgk ztikktz txck jno wxtkiwxim utz katikvk mnwrtnwr uz tgk pxttkij wgkik tgxt rnpyk vnyk uz wxzgkm pj wxqkz xrm ennykm pj pikkdkz wgueg x fkw gnoiz likqunoz wkik not nf zusgt nf yxrm ynnc xt tgk einwmz nf wxtki sxdkiz tgkik euieovxvpoyxtk tgk eutj nf x mikxvj zxppxtg xftkirnnr sn finv eniykxiz gnnc tn enkrtukz zyul xrm finv tgkrek pj wgutkgxyy rnitgwxim wgxt mn jno zkk lnztkm yuck zuykrt zkrturkyz xyy xinorm tgk tnwr ztxrm tgnozxrmz olnr tgnozxrmz nf vnitxy vkr fuakm ur nekxr ikqkiukz znvk ykxrurs xsxurzt tgk zluykz znvk zkxtkm olnr tgk luki gkxmz znvk ynncurs nqki tgk poywxicz nf zgulz finv egurx znvk gusg xynft ur tgk iussurs xz uf ztiuqurs tn skt x ztuyy pkttki zkxwxim lkkl pot tgkzk xik xyy yxrmzvkr nf wkkc mxjz lkrt ol ur yxtg xrm lyxztki tukm tn enortkiz rxuykm tn pkregkz eyuregkm tn mkzcz gnw tgkr uz tguz xik tgk sikkr fukymz snrk wgxt mn tgkj gkik pot ynnc gkik envk vnik einwmz lxeurs ztixusgt fni tgk wxtki xrm zkkvursyj pnorm fni x muqk ztixrsk rntgurs wuyy enrtkrt tgkv pot tgk katikvkzt yuvut nf tgk yxrm ynutkiurs ormki tgk zgxmj ykk nf jnrmki wxikgnozkz wuyy rnt zoffuek rn tgkj vozt skt hozt xz rusg tgk wxtki xz tgkj lnzzupyj exr wutgnot fxyyurs ur xrm tgkik tgkj ztxrm vuykz nf tgkv ykxsokz uryxrmkiz xyy tgkj envk finv yxrkz xrm xyykjz ztikktz xrm xqkrokz rnitg kxzt znotg xrm wkzt jkt gkik tgkj xyy orutk tkyy vk mnkz tgk vxsrktue quitok nf tgk rkkmykz nf tgk envlxzzkz nf xyy tgnzk zgulz xttixet tgkv tgutgki nrek vnik zxj jno xik ur\n",
      "Iter 0 of start 3: ntucszq pyygfldr nupp gz frtguzp rygz azuqr udy lzvzq gfle tyh pyld cqznfrzpa tuvfld pfsspz yq ly gylza fl ga cwqrz ule lystfld cuqsfnwpuq sy flszqzrs gz yl rtyqz f stywdts f hywpe rufp uiyws u pfsspz ule rzz stz huszqa cuqs ym stz hyqpe fs fr u hua f tuvz ym eqfvfld ymm stz rcpzzl ule qzdwpusfld stz nfqnwpusfyl htzlzvzq f mfle garzpm dqyhfld dqfg uiyws stz gywst htzlzvzq fs fr u eugc eqfoopa lyvzgizq fl ga rywp htzlzvzq f mfle garzpm flvypwlsuqfpa cuwrfld izmyqz nymmfl huqztywrzr ule iqfldfld wc stz qzuq ym zvzqa mwlzqup f gzzs ule zrcznfuppa htzlzvzq ga tacyr dzs rwnt ul wcczq tule ym gz stus fs qzkwfqzr u rsqyld gyqup cqflnfcpz sy cqzvzls gz mqyg ezpfizquszpa rszccfld flsy stz rsqzzs ule gzstyefnuppa jlynjfld czycpz r tusr ymm stzl f unnywls fs tfdt sfgz sy dzs sy rzu ur ryyl ur f nul stfr fr ga rwirsfswsz myq cfrsyp ule iupp hfst u ctfpyryctfnup mpywqfrt nusy stqyhr tfgrzpm wcyl tfr rhyqe f kwfzspa sujz sy stz rtfc stzqz fr lystfld rwqcqfrfld fl stfr fm stza iws jlzh fs upgyrs upp gzl fl stzfq ezdqzz rygz sfgz yq ystzq ntzqfrt vzqa lzuqpa stz rugz mzzpfldr syhuqer stz ynzul hfst gz stzqz lyh fr aywq flrwpuq nfsa ym stz gultussyzr izpsze qywle ia htuqvzr ur fleful frpzr ia nyqup qzzmr nyggzqnz rwqqywler fs hfst tzq rwqm qfdts ule pzms stz rsqzzsr sujz ayw huszqhuqe fsr zbsqzgz eyhlsyhl fr stz iusszqa htzqz stus lyipz gypz fr hurtze ia huvzr ule nyypze ia iqzzozr htfnt u mzh tywqr cqzvfywr hzqz yws ym rfdts ym pule pyyj us stz nqyher ym huszq duozqr stzqz nfqnwgugiwpusz stz nfsa ym u eqzuga ruiiust umszqlyyl dy mqyg nyqpzuqr tyyj sy nyzlsfzr rpfc ule mqyg stzlnz ia htfsztupp lyqsthuqe htus ey ayw rzz cyrsze pfjz rfpzls rzlsflzpr upp uqywle stz syhl rsule stywruler wcyl stywruler ym gyqsup gzl mfbze fl ynzul qzvzqfzr rygz pzulfld uduflrs stz rcfpzr rygz rzusze wcyl stz cfzq tzuer rygz pyyjfld yvzq stz iwphuqjr ym rtfcr mqyg ntflu rygz tfdt upyms fl stz qfddfld ur fm rsqfvfld sy dzs u rsfpp izsszq rzuhuqe czzc iws stzrz uqz upp pulergzl ym hzzj euar czls wc fl pust ule cpurszq sfze sy nywlszqr lufpze sy izlntzr npflntze sy ezrjr tyh stzl fr stfr uqz stz dqzzl mfzper dylz htus ey stza tzqz iws pyyj tzqz nygz gyqz nqyher cunfld rsqufdts myq stz huszq ule rzzgfldpa iywle myq u efvz rsquldz lystfld hfpp nylszls stzg iws stz zbsqzgzrs pfgfs ym stz pule pyfszqfld wlezq stz rtuea pzz ym aylezq huqztywrzr hfpp lys rwmmfnz ly stza gwrs dzs xwrs ur lfdt stz huszq ur stza cyrrfipa nul hfstyws muppfld fl ule stzqz stza rsule gfpzr ym stzg pzudwzr flpulezqr upp stza nygz mqyg pulzr ule uppzar rsqzzsr ule uvzlwzr lyqst zurs rywst ule hzrs azs tzqz stza upp wlfsz szpp gz eyzr stz gudlzsfn vfqswz ym stz lzzepzr ym stz nygcurrzr ym upp styrz rtfcr ussquns stzg stfstzq ylnz gyqz rua ayw uqz fl\n",
      "Not updating anymore after iteration 32\n",
      "Iter 0 of start 1: zqntjab rkkxiwys znrr xa isqxnar skxa oanbs nyk waeab xiwc qkh rkwy tbazisaro qneiwy rijjra kb wk xkwao iw xo tfbsa nwc wkjqiwy tnbjizfrnb jk iwjabasj xa kw sqkba i jqkfyqj i hkfrc snir nlkfj n rijjra nwc saa jqa hnjabo tnbj ku jqa hkbrc ij is n hno i qnea ku cbieiwy kuu jqa straaw nwc bayfrnjiwy jqa zibzfrnjikw hqawaeab i uiwc xosaru ybkhiwy ybix nlkfj jqa xkfjq hqawaeab ij is n cnxt cbippro wkeaxlab iw xo skfr hqawaeab i uiwc xosaru iwekrfwjnbiro tnfsiwy laukba zkuuiw hnbaqkfsas nwc lbiwyiwy ft jqa banb ku aeabo ufwabnr i xaaj nwc astazinrro hqawaeab xo qotks yaj sfzq nw fttab qnwc ku xa jqnj ij badfibas n sjbkwy xkbnr tbiwzitra jk tbaeawj xa ubkx carilabnjaro sjattiwy iwjk jqa sjbaaj nwc xajqkciznrro gwkzgiwy taktra s qnjs kuu jqaw i nzzkfwj ij qiyq jixa jk yaj jk san ns skkw ns i znw jqis is xo sflsjijfja ukb tisjkr nwc lnrr hijq n tqirksktqiznr urkfbisq znjk jqbkhs qixsaru ftkw qis shkbc i dfiajro jnga jk jqa sqit jqaba is wkjqiwy sfbtbisiwy iw jqis iu jqao lfj gwah ij nrxksj nrr xaw iw jqaib caybaa skxa jixa kb kjqab zqabisq eabo wanbro jqa snxa uaariwys jkhnbcs jqa kzanw hijq xa jqaba wkh is okfb iwsfrnb zijo ku jqa xnwqnjjkas larjac bkfwc lo hqnbeas ns iwcinw isras lo zkbnr baaus zkxxabza sfbbkfwcs ij hijq qab sfbu biyqj nwc rauj jqa sjbaajs jnga okf hnjabhnbc ijs avjbaxa ckhwjkhw is jqa lnjjabo hqaba jqnj wklra xkra is hnsqac lo hneas nwc zkkrac lo lbaapas hqizq n uah qkfbs tbaeikfs haba kfj ku siyqj ku rnwc rkkg nj jqa zbkhcs ku hnjab ynpabs jqaba zibzfxnxlfrnja jqa zijo ku n cbanxo snllnjq nujabwkkw yk ubkx zkbranbs qkkg jk zkawjias srit nwc ubkx jqawza lo hqijaqnrr wkbjqhnbc hqnj ck okf saa tksjac riga sirawj sawjiwars nrr nbkfwc jqa jkhw sjnwc jqkfsnwcs ftkw jqkfsnwcs ku xkbjnr xaw uivac iw kzanw baeabias skxa ranwiwy nyniwsj jqa stiras skxa sanjac ftkw jqa tiab qancs skxa rkkgiwy keab jqa lfrhnbgs ku sqits ubkx zqiwn skxa qiyq nrkuj iw jqa biyyiwy ns iu sjbieiwy jk yaj n sjirr lajjab sanhnbc taat lfj jqasa nba nrr rnwcsxaw ku haag cnos tawj ft iw rnjq nwc trnsjab jiac jk zkfwjabs wnirac jk lawzqas zriwzqac jk casgs qkh jqaw is jqis nba jqa ybaaw uiarcs ykwa hqnj ck jqao qaba lfj rkkg qaba zkxa xkba zbkhcs tnziwy sjbniyqj ukb jqa hnjab nwc saaxiwyro lkfwc ukb n ciea sjbnwya wkjqiwy hirr zkwjawj jqax lfj jqa avjbaxasj rixij ku jqa rnwc rkijabiwy fwcab jqa sqnco raa ku okwcab hnbaqkfsas hirr wkj sfuuiza wk jqao xfsj yaj mfsj ns wiyq jqa hnjab ns jqao tkssilro znw hijqkfj unrriwy iw nwc jqaba jqao sjnwc xiras ku jqax ranyfas iwrnwcabs nrr jqao zkxa ubkx rnwas nwc nrraos sjbaajs nwc neawfas wkbjq ansj skfjq nwc hasj oaj qaba jqao nrr fwija jarr xa ckas jqa xnywajiz eibjfa ku jqa waacras ku jqa zkxtnssas ku nrr jqksa sqits njjbnzj jqax jqijqab kwza xkba sno okf nba iw\n",
      "Iter 0 of start 2: qjawgln ekkpyrvt qaee pl ytjpale tkpl hlant avk rlcln pyrz jkd ekrv wnlqytleh jacyrv eyggel kn rk pkrlh yr ph wuntl arz rkgjyrv wangyquean gk yrglnltg pl kr tjknl y gjkuvjg y dkuez taye aikug a eyggel arz tll gjl daglnh wang kf gjl dknez yg yt a dah y jacl kf znycyrv kff gjl twellr arz nlvueagyrv gjl qynqueagykr djlrlcln y fyrz phtlef vnkdyrv vnyp aikug gjl pkugj djlrlcln yg yt a zapw znyxxeh rkclpiln yr ph tkue djlrlcln y fyrz phtlef yrckeurganyeh wautyrv ilfknl qkffyr danljkutlt arz inyrvyrv uw gjl nlan kf lclnh furlnae y pllg arz ltwlqyaeeh djlrlcln ph jhwkt vlg tuqj ar uwwln jarz kf pl gjag yg nlmuynlt a tgnkrv pknae wnyrqywel gk wnlclrg pl fnkp zleyilnagleh tglwwyrv yrgk gjl tgnllg arz plgjkzyqaeeh srkqsyrv wlkwel t jagt kff gjlr y aqqkurg yg jyvj gypl gk vlg gk tla at tkkr at y qar gjyt yt ph tuitgygugl fkn wytgke arz iaee dygj a wjyektkwjyqae fekunytj qagk gjnkdt jyptlef uwkr jyt tdknz y muylgeh gasl gk gjl tjyw gjlnl yt rkgjyrv tunwnytyrv yr gjyt yf gjlh iug srld yg aepktg aee plr yr gjlyn zlvnll tkpl gypl kn kgjln qjlnytj clnh rlaneh gjl tapl flleyrvt gkdanzt gjl kqlar dygj pl gjlnl rkd yt hkun yrtuean qygh kf gjl parjaggklt ileglz nkurz ih djanclt at yrzyar ytelt ih qknae nllft qkpplnql tunnkurzt yg dygj jln tunf nyvjg arz elfg gjl tgnllgt gasl hku daglndanz ygt lognlpl zkdrgkdr yt gjl iagglnh djlnl gjag rkiel pkel yt datjlz ih daclt arz qkkelz ih inllxlt djyqj a fld jkunt wnlcykut dlnl kug kf tyvjg kf earz ekks ag gjl qnkdzt kf dagln vaxlnt gjlnl qynqupapiueagl gjl qygh kf a znlaph taiiagj afglnrkkr vk fnkp qknelant jkks gk qklrgylt teyw arz fnkp gjlrql ih djygljaee rkngjdanz djag zk hku tll wktglz eysl tyelrg tlrgyrlet aee ankurz gjl gkdr tgarz gjkutarzt uwkr gjkutarzt kf pkngae plr fyolz yr kqlar nlclnylt tkpl elaryrv avayrtg gjl twyelt tkpl tlaglz uwkr gjl wyln jlazt tkpl ekksyrv kcln gjl iuedanst kf tjywt fnkp qjyra tkpl jyvj aekfg yr gjl nyvvyrv at yf tgnycyrv gk vlg a tgyee ilggln tladanz wllw iug gjltl anl aee earztplr kf dlls zaht wlrg uw yr eagj arz weatgln gylz gk qkurglnt rayelz gk ilrqjlt qeyrqjlz gk zltst jkd gjlr yt gjyt anl gjl vnllr fylezt vkrl djag zk gjlh jlnl iug ekks jlnl qkpl pknl qnkdzt waqyrv tgnayvjg fkn gjl dagln arz tllpyrveh ikurz fkn a zycl tgnarvl rkgjyrv dyee qkrglrg gjlp iug gjl lognlpltg eypyg kf gjl earz ekyglnyrv urzln gjl tjazh ell kf hkrzln danljkutlt dyee rkg tuffyql rk gjlh putg vlg butg at ryvj gjl dagln at gjlh wkttyieh qar dygjkug faeeyrv yr arz gjlnl gjlh tgarz pyelt kf gjlp elavult yrearzlnt aee gjlh qkpl fnkp earlt arz aeelht tgnllgt arz aclrult rkngj latg tkugj arz dltg hlg jlnl gjlh aee urygl glee pl zklt gjl pavrlgyq cyngul kf gjl rllzelt kf gjl qkpwattlt kf aee gjktl tjywt aggnaqg gjlp gjygjln krql pknl tah hku anl yr\n",
      "Iter 0 of start 3: rpbykgs uhhevdza rbuu eg vapebgu aheg lgbsa bzh dgxgs evdn phc uhdz ysgrvagul pbxvdz uvkkug hs dh ehdgl vd el yisag bdn dhkpvdz ybskvriubs kh vdkgsgak eg hd aphsg v kphizpk v chiun abvu bthik b uvkkug bdn agg kpg cbkgsl ybsk hm kpg chsun vk va b cbl v pbxg hm nsvxvdz hmm kpg ayuggd bdn sgziubkvdz kpg rvsriubkvhd cpgdgxgs v mvdn elagum zshcvdz zsve bthik kpg ehikp cpgdgxgs vk va b nbey nsvjjul dhxgetgs vd el ahiu cpgdgxgs v mvdn elagum vdxhuidkbsvul ybiavdz tgmhsg rhmmvd cbsgphiaga bdn tsvdzvdz iy kpg sgbs hm gxgsl midgsbu v eggk bdn gaygrvbuul cpgdgxgs el plyha zgk airp bd iyygs pbdn hm eg kpbk vk sgqivsga b akshdz ehsbu ysvdrvyug kh ysgxgdk eg mshe nguvtgsbkgul akgyyvdz vdkh kpg aksggk bdn egkphnvrbuul odhrovdz yghyug a pbka hmm kpgd v brrhidk vk pvzp kveg kh zgk kh agb ba ahhd ba v rbd kpva va el aitakvkikg mhs yvakhu bdn tbuu cvkp b ypvuhahypvrbu muhisvap rbkh kpshca pveagum iyhd pva achsn v qivgkul kbog kh kpg apvy kpgsg va dhkpvdz aisysvavdz vd kpva vm kpgl tik odgc vk buehak buu egd vd kpgvs ngzsgg aheg kveg hs hkpgs rpgsvap xgsl dgbsul kpg abeg mgguvdza khcbsna kpg hrgbd cvkp eg kpgsg dhc va lhis vdaiubs rvkl hm kpg ebdpbkkhga tgukgn shidn tl cpbsxga ba vdnvbd vauga tl rhsbu sggma rheegsrg aisshidna vk cvkp pgs aism svzpk bdn ugmk kpg aksggka kbog lhi cbkgscbsn vka gfksgeg nhcdkhcd va kpg tbkkgsl cpgsg kpbk dhtug ehug va cbapgn tl cbxga bdn rhhugn tl tsggjga cpvrp b mgc phisa ysgxvhia cgsg hik hm avzpk hm ubdn uhho bk kpg rshcna hm cbkgs zbjgsa kpgsg rvsriebetiubkg kpg rvkl hm b nsgbel abttbkp bmkgsdhhd zh mshe rhsugbsa phho kh rhgdkvga auvy bdn mshe kpgdrg tl cpvkgpbuu dhskpcbsn cpbk nh lhi agg yhakgn uvog avugdk agdkvdgua buu bshidn kpg khcd akbdn kphiabdna iyhd kphiabdna hm ehskbu egd mvfgn vd hrgbd sgxgsvga aheg ugbdvdz bzbvdak kpg ayvuga aheg agbkgn iyhd kpg yvgs pgbna aheg uhhovdz hxgs kpg tiucbsoa hm apvya mshe rpvdb aheg pvzp buhmk vd kpg svzzvdz ba vm aksvxvdz kh zgk b akvuu tgkkgs agbcbsn yggy tik kpgag bsg buu ubdnaegd hm cggo nbla ygdk iy vd ubkp bdn yubakgs kvgn kh rhidkgsa dbvugn kh tgdrpga ruvdrpgn kh ngaoa phc kpgd va kpva bsg kpg zsggd mvguna zhdg cpbk nh kpgl pgsg tik uhho pgsg rheg ehsg rshcna ybrvdz aksbvzpk mhs kpg cbkgs bdn aggevdzul thidn mhs b nvxg aksbdzg dhkpvdz cvuu rhdkgdk kpge tik kpg gfksgegak uvevk hm kpg ubdn uhvkgsvdz idngs kpg apbnl ugg hm lhdngs cbsgphiaga cvuu dhk aimmvrg dh kpgl eiak zgk wiak ba dvzp kpg cbkgs ba kpgl yhaavtul rbd cvkphik mbuuvdz vd bdn kpgsg kpgl akbdn evuga hm kpge ugbziga vdubdngsa buu kpgl rheg mshe ubdga bdn buugla aksggka bdn bxgdiga dhskp gbak ahikp bdn cgak lgk pgsg kpgl buu idvkg kguu eg nhga kpg ebzdgkvr xvskig hm kpg dggnuga hm kpg rheybaaga hm buu kphag apvya bkksbrk kpge kpvkpgs hdrg ehsg abl lhi bsg vd\n",
      "Not updating anymore after iteration 32\n",
      "Iter 0 of start 1: jomlwpz ebbihqst jmee ip htoimpe tbip xpmzt msb qpdpz ihqr obk ebqs lzpjhtpex omdhqs ehwwep bz qb ibqpx hq ix lnztp mqr qbwohqs lmzwhjnemz wb hqwpzptw ip bq tobzp h wobnsow h kbner tmhe mubnw m ehwwep mqr tpp wop kmwpzx lmzw ba wop kbzer hw ht m kmx h omdp ba rzhdhqs baa wop tleppq mqr zpsnemwhqs wop jhzjnemwhbq kopqpdpz h ahqr ixtpea szbkhqs szhi mubnw wop ibnwo kopqpdpz hw ht m rmil rzhccex qbdpiupz hq ix tbne kopqpdpz h ahqr ixtpea hqdbenqwmzhex lmnthqs upabzp jbaahq kmzpobntpt mqr uzhqshqs nl wop zpmz ba pdpzx anqpzme h ippw mqr ptlpjhmeex kopqpdpz ix oxlbt spw tnjo mq nllpz omqr ba ip womw hw zpvnhzpt m twzbqs ibzme lzhqjhlep wb lzpdpqw ip azbi rpehupzmwpex twpllhqs hqwb wop twzppw mqr ipwobrhjmeex gqbjghqs lpblep t omwt baa wopq h mjjbnqw hw ohso whip wb spw wb tpm mt tbbq mt h jmq woht ht ix tnutwhwnwp abz lhtwbe mqr umee khwo m lohebtblohjme aebnzhto jmwb wozbkt ohitpea nlbq oht tkbzr h vnhpwex wmgp wb wop tohl wopzp ht qbwohqs tnzlzhthqs hq woht ha wopx unw gqpk hw meibtw mee ipq hq wophz rpszpp tbip whip bz bwopz jopzhto dpzx qpmzex wop tmip appehqst wbkmzrt wop bjpmq khwo ip wopzp qbk ht xbnz hqtnemz jhwx ba wop imqomwwbpt upewpr zbnqr ux komzdpt mt hqrhmq htept ux jbzme zppat jbiipzjp tnzzbnqrt hw khwo opz tnza zhsow mqr epaw wop twzppwt wmgp xbn kmwpzkmzr hwt pywzpip rbkqwbkq ht wop umwwpzx kopzp womw qbuep ibep ht kmtopr ux kmdpt mqr jbbepr ux uzppcpt kohjo m apk obnzt lzpdhbnt kpzp bnw ba thsow ba emqr ebbg mw wop jzbkrt ba kmwpz smcpzt wopzp jhzjnimiunemwp wop jhwx ba m rzpmix tmuumwo mawpzqbbq sb azbi jbzepmzt obbg wb jbpqwhpt tehl mqr azbi wopqjp ux kohwpomee qbzwokmzr komw rb xbn tpp lbtwpr ehgp thepqw tpqwhqpet mee mzbnqr wop wbkq twmqr wobntmqrt nlbq wobntmqrt ba ibzwme ipq ahypr hq bjpmq zpdpzhpt tbip epmqhqs msmhqtw wop tlhept tbip tpmwpr nlbq wop lhpz opmrt tbip ebbghqs bdpz wop unekmzgt ba tohlt azbi johqm tbip ohso mebaw hq wop zhsshqs mt ha twzhdhqs wb spw m twhee upwwpz tpmkmzr lppl unw woptp mzp mee emqrtipq ba kppg rmxt lpqw nl hq emwo mqr lemtwpz whpr wb jbnqwpzt qmhepr wb upqjopt jehqjopr wb rptgt obk wopq ht woht mzp wop szppq ahpert sbqp komw rb wopx opzp unw ebbg opzp jbip ibzp jzbkrt lmjhqs twzmhsow abz wop kmwpz mqr tppihqsex ubnqr abz m rhdp twzmqsp qbwohqs khee jbqwpqw wopi unw wop pywzpiptw ehihw ba wop emqr ebhwpzhqs nqrpz wop tomrx epp ba xbqrpz kmzpobntpt khee qbw tnaahjp qb wopx intw spw fntw mt qhso wop kmwpz mt wopx lbtthuex jmq khwobnw ameehqs hq mqr wopzp wopx twmqr ihept ba wopi epmsnpt hqemqrpzt mee wopx jbip azbi emqpt mqr meepxt twzppwt mqr mdpqnpt qbzwo pmtw tbnwo mqr kptw xpw opzp wopx mee nqhwp wpee ip rbpt wop imsqpwhj dhzwnp ba wop qpprept ba wop jbilmttpt ba mee wobtp tohlt mwwzmjw wopi wohwopz bqjp ibzp tmx xbn mzp hq\n",
      "Iter 0 of start 2: vhodjgf ewwlbnmq voee lg bqhloge qwlg xgofq omw ngigf lbns hwr ewnm dfgvbqgex hoibnm ebjjeg wf nw lwngx bn lx dtfqg ons nwjhbnm dofjbvteof jw bnjgfgqj lg wn qhwfg b jhwtmhj b rwtes qobe ouwtj o ebjjeg ons qgg jhg rojgfx dofj wc jhg rwfes bj bq o rox b hoig wc sfbibnm wcc jhg qdeggn ons fgmteojbnm jhg vbfvteojbwn rhgngigf b cbns lxqgec mfwrbnm mfbl ouwtj jhg lwtjh rhgngigf bj bq o sold sfbzzex nwiglugf bn lx qwte rhgngigf b cbns lxqgec bniwetnjofbex dotqbnm ugcwfg vwccbn rofghwtqgq ons ufbnmbnm td jhg fgof wc gigfx ctngfoe b lggj ons gqdgvboeex rhgngigf lx hxdwq mgj qtvh on tddgf hons wc lg jhoj bj fgktbfgq o qjfwnm lwfoe dfbnvbdeg jw dfgignj lg cfwl sgebugfojgex qjgddbnm bnjw jhg qjfggj ons lgjhwsbvoeex pnwvpbnm dgwdeg q hojq wcc jhgn b ovvwtnj bj hbmh jblg jw mgj jw qgo oq qwwn oq b von jhbq bq lx qtuqjbjtjg cwf dbqjwe ons uoee rbjh o dhbewqwdhbvoe cewtfbqh vojw jhfwrq hblqgec tdwn hbq qrwfs b ktbgjex jopg jw jhg qhbd jhgfg bq nwjhbnm qtfdfbqbnm bn jhbq bc jhgx utj pngr bj oelwqj oee lgn bn jhgbf sgmfgg qwlg jblg wf wjhgf vhgfbqh igfx ngofex jhg qolg cggebnmq jwrofsq jhg wvgon rbjh lg jhgfg nwr bq xwtf bnqteof vbjx wc jhg lonhojjwgq ugejgs fwtns ux rhofigq oq bnsbon bqegq ux vwfoe fggcq vwllgfvg qtffwtnsq bj rbjh hgf qtfc fbmhj ons egcj jhg qjfggjq jopg xwt rojgfrofs bjq gyjfglg swrnjwrn bq jhg uojjgfx rhgfg jhoj nwueg lweg bq roqhgs ux roigq ons vwwegs ux ufggzgq rhbvh o cgr hwtfq dfgibwtq rgfg wtj wc qbmhj wc eons ewwp oj jhg vfwrsq wc rojgf mozgfq jhgfg vbfvtloluteojg jhg vbjx wc o sfgolx qouuojh ocjgfnwwn mw cfwl vwfegofq hwwp jw vwgnjbgq qebd ons cfwl jhgnvg ux rhbjghoee nwfjhrofs rhoj sw xwt qgg dwqjgs ebpg qbegnj qgnjbngeq oee ofwtns jhg jwrn qjons jhwtqonsq tdwn jhwtqonsq wc lwfjoe lgn cbygs bn wvgon fgigfbgq qwlg egonbnm omobnqj jhg qdbegq qwlg qgojgs tdwn jhg dbgf hgosq qwlg ewwpbnm wigf jhg uterofpq wc qhbdq cfwl vhbno qwlg hbmh oewcj bn jhg fbmmbnm oq bc qjfbibnm jw mgj o qjbee ugjjgf qgorofs dggd utj jhgqg ofg oee eonsqlgn wc rggp soxq dgnj td bn eojh ons deoqjgf jbgs jw vwtnjgfq nobegs jw ugnvhgq vebnvhgs jw sgqpq hwr jhgn bq jhbq ofg jhg mfggn cbgesq mwng rhoj sw jhgx hgfg utj ewwp hgfg vwlg lwfg vfwrsq dovbnm qjfobmhj cwf jhg rojgf ons qgglbnmex uwtns cwf o sbig qjfonmg nwjhbnm rbee vwnjgnj jhgl utj jhg gyjfglgqj eblbj wc jhg eons ewbjgfbnm tnsgf jhg qhosx egg wc xwnsgf rofghwtqgq rbee nwj qtccbvg nw jhgx ltqj mgj atqj oq nbmh jhg rojgf oq jhgx dwqqbuex von rbjhwtj coeebnm bn ons jhgfg jhgx qjons lbegq wc jhgl egomtgq bneonsgfq oee jhgx vwlg cfwl eongq ons oeegxq qjfggjq ons oigntgq nwfjh goqj qwtjh ons rgqj xgj hgfg jhgx oee tnbjg jgee lg swgq jhg lomngjbv ibfjtg wc jhg nggsegq wc jhg vwldoqqgq wc oee jhwqg qhbdq ojjfovj jhgl jhbjhgf wnvg lwfg qox xwt ofg bn\n",
      "Iter 0 of start 3: walyekr phhfqdgn wlpp fk qnaflkp nhfk xklrn lgh dkmkr fqds aho phdg yrkwqnkpx almqdg pqeepk hr dh fhdkx qd fx yvrnk lds dheaqdg ylreqwvplr eh qdekrkne fk hd nahrk q eahvgae q ohvps nlqp lbhve l pqeepk lds nkk eak olekrx ylre ht eak ohrps qe qn l olx q almk ht srqmqdg htt eak nypkkd lds rkgvpleqdg eak wqrwvpleqhd oakdkmkr q tqds fxnkpt grhoqdg grqf lbhve eak fhvea oakdkmkr qe qn l slfy srqzzpx dhmkfbkr qd fx nhvp oakdkmkr q tqds fxnkpt qdmhpvdelrqpx ylvnqdg bkthrk whttqd olrkahvnkn lds brqdgqdg vy eak rklr ht kmkrx tvdkrlp q fkke lds knykwqlppx oakdkmkr fx axyhn gke nvwa ld vyykr alds ht fk eale qe rkcvqrkn l nerhdg fhrlp yrqdwqypk eh yrkmkde fk trhf skpqbkrlekpx nekyyqdg qdeh eak nerkke lds fkeahsqwlppx jdhwjqdg ykhypk n alen htt eakd q lwwhvde qe aqga eqfk eh gke eh nkl ln nhhd ln q wld eaqn qn fx nvbneqevek thr yqnehp lds blpp oqea l yaqphnhyaqwlp tphvrqna wleh earhon aqfnkpt vyhd aqn nohrs q cvqkepx eljk eh eak naqy eakrk qn dheaqdg nvryrqnqdg qd eaqn qt eakx bve jdko qe lpfhne lpp fkd qd eakqr skgrkk nhfk eqfk hr heakr wakrqna mkrx dklrpx eak nlfk tkkpqdgn eholrsn eak hwkld oqea fk eakrk dho qn xhvr qdnvplr wqex ht eak fldaleehkn bkpeks rhvds bx oalrmkn ln qdsqld qnpkn bx whrlp rkktn whffkrwk nvrrhvdsn qe oqea akr nvrt rqgae lds pkte eak nerkken eljk xhv olekrolrs qen kuerkfk shodehod qn eak bleekrx oakrk eale dhbpk fhpk qn olnaks bx olmkn lds whhpks bx brkkzkn oaqwa l tko ahvrn yrkmqhvn okrk hve ht nqgae ht plds phhj le eak wrhosn ht olekr glzkrn eakrk wqrwvflfbvplek eak wqex ht l srklfx nlbblea ltekrdhhd gh trhf whrpklrn ahhj eh whkdeqkn npqy lds trhf eakdwk bx oaqekalpp dhreaolrs oale sh xhv nkk yhneks pqjk nqpkde nkdeqdkpn lpp lrhvds eak ehod nelds eahvnldsn vyhd eahvnldsn ht fhrelp fkd tquks qd hwkld rkmkrqkn nhfk pkldqdg lglqdne eak nyqpkn nhfk nkleks vyhd eak yqkr aklsn nhfk phhjqdg hmkr eak bvpolrjn ht naqyn trhf waqdl nhfk aqga lphte qd eak rqggqdg ln qt nerqmqdg eh gke l neqpp bkeekr nklolrs ykky bve eaknk lrk lpp pldsnfkd ht okkj slxn ykde vy qd plea lds yplnekr eqks eh whvdekrn dlqpks eh bkdwakn wpqdwaks eh sknjn aho eakd qn eaqn lrk eak grkkd tqkpsn ghdk oale sh eakx akrk bve phhj akrk whfk fhrk wrhosn ylwqdg nerlqgae thr eak olekr lds nkkfqdgpx bhvds thr l sqmk nerldgk dheaqdg oqpp whdekde eakf bve eak kuerkfkne pqfqe ht eak plds phqekrqdg vdskr eak nalsx pkk ht xhdskr olrkahvnkn oqpp dhe nvttqwk dh eakx fvne gke ivne ln dqga eak olekr ln eakx yhnnqbpx wld oqeahve tlppqdg qd lds eakrk eakx nelds fqpkn ht eakf pklgvkn qdpldskrn lpp eakx whfk trhf pldkn lds lppkxn nerkken lds lmkdvkn dhrea klne nhvea lds okne xke akrk eakx lpp vdqek ekpp fk shkn eak flgdkeqw mqrevk ht eak dkkspkn ht eak whfylnnkn ht lpp eahnk naqyn leerlwe eakf eaqeakr hdwk fhrk nlx xhv lrk qd\n",
      "Not updating anymore after iteration 32\n",
      "Iter 0 of start 1: zbrwioa pmmnugkl zrpp no ulbnrop lmno horal rkm godoa nugc bmv pmgk waozuloph brdugk puiipo ma gm nmgoh ug nh wxalo rgc gmibugk wraiuzxpra im ugioaoli no mg lbmao u ibmxkbi u vmxpc lrup rymxi r puiipo rgc loo ibo vrioah wrai me ibo vmapc ui ul r vrh u brdo me caudugk mee ibo lwpoog rgc aokxpriugk ibo zuazxpriumg vbogodoa u eugc nhlope kamvugk kaun rymxi ibo nmxib vbogodoa ui ul r crnw cauttph gmdonyoa ug nh lmxp vbogodoa u eugc nhlope ugdmpxgirauph wrxlugk yoemao zmeeug vraobmxlol rgc yaugkugk xw ibo aora me odoah exgoarp u nooi rgc olwozurpph vbogodoa nh bhwml koi lxzb rg xwwoa brgc me no ibri ui aosxuaol r liamgk nmarp waugzuwpo im waodogi no eamn copuyoarioph liowwugk ugim ibo liaooi rgc noibmcuzrpph qgmzqugk womwpo l bril mee ibog u rzzmxgi ui bukb iuno im koi im lor rl lmmg rl u zrg ibul ul nh lxyliuixio ema wulimp rgc yrpp vuib r wbupmlmwbuzrp epmxaulb zrim ibamvl bunlope xwmg bul lvmac u sxuoiph irqo im ibo lbuw iboao ul gmibugk lxawaulugk ug ibul ue iboh yxi qgov ui rpnmli rpp nog ug iboua cokaoo lmno iuno ma miboa zboaulb doah goraph ibo lrno eoopugkl imvracl ibo mzorg vuib no iboao gmv ul hmxa uglxpra zuih me ibo nrgbriimol yopioc amxgc yh vbradol rl ugcurg ulpol yh zmarp aooel zmnnoazo lxaamxgcl ui vuib boa lxae aukbi rgc poei ibo liaooil irqo hmx vrioavrac uil ojiaono cmvgimvg ul ibo yriioah vboao ibri gmypo nmpo ul vrlboc yh vrdol rgc zmmpoc yh yaootol vbuzb r eov bmxal waodumxl voao mxi me lukbi me prgc pmmq ri ibo zamvcl me vrioa krtoal iboao zuazxnrnyxprio ibo zuih me r caornh lryyrib reioagmmg km eamn zmaporal bmmq im zmogiuol lpuw rgc eamn ibogzo yh vbuiobrpp gmaibvrac vbri cm hmx loo wmlioc puqo lupogi logiugopl rpp ramxgc ibo imvg lirgc ibmxlrgcl xwmg ibmxlrgcl me nmairp nog eujoc ug mzorg aodoauol lmno porgugk rkrugli ibo lwupol lmno lorioc xwmg ibo wuoa borcl lmno pmmqugk mdoa ibo yxpvraql me lbuwl eamn zbugr lmno bukb rpmei ug ibo aukkugk rl ue liaudugk im koi r liupp yoiioa lorvrac woow yxi ibolo rao rpp prgclnog me vooq crhl wogi xw ug prib rgc wprlioa iuoc im zmxgioal grupoc im yogzbol zpugzboc im colql bmv ibog ul ibul rao ibo kaoog euopcl kmgo vbri cm iboh boao yxi pmmq boao zmno nmao zamvcl wrzugk liarukbi ema ibo vrioa rgc loonugkph ymxgc ema r cudo liargko gmibugk vupp zmgiogi ibon yxi ibo ojiaonoli punui me ibo prgc pmuioaugk xgcoa ibo lbrch poo me hmgcoa vraobmxlol vupp gmi lxeeuzo gm iboh nxli koi fxli rl gukb ibo vrioa rl iboh wmlluyph zrg vuibmxi erppugk ug rgc iboao iboh lirgc nupol me ibon porkxol ugprgcoal rpp iboh zmno eamn prgol rgc rppohl liaooil rgc rdogxol gmaib orli lmxib rgc voli hoi boao iboh rpp xguio iopp no cmol ibo nrkgoiuz duaixo me ibo goocpol me ibo zmnwrllol me rpp ibmlo lbuwl riiarzi ibon ibuiboa mgzo nmao lrh hmx rao ug ibo zmxgiah ug lmno bukb prgc me prqol irqo rpnmli rgh wrib hmx wporlo rgc iog im mgo ui zraauol hmx cmvg ug r crpo rgc pordol hmx iboao yh r wmmp ug ibo liaorn iboao ul nrkuz ug ui poi ibo nmli rylogi nugcoc me nog yo wpxgkoc ug bul coowoli aodoauol lirgc ibri nrg mg bul pokl loi bul eooi r kmugk rgc bo vupp ugerppuyph porc hmx im vrioa ue vrioa iboao yo ug rpp ibri aokumg lbmxpc hmx odoa yo ribuali ug ibo kaori rnoauzrg coloai iah ibul ojwoaunogi ue hmxa zrardrg brwwog im yo lxwwpuoc vuib r noirwbhluzrp wameollma hol rl odoah mgo qgmvl nocuiriumg rgc vrioa rao voccoc ema odoa yxi boao ul rg raiuli bo coluaol im wrugi hmx ibo caornuoli lbrcuoli sxuoioli nmli ogzbrgiugk yui me amnrgiuz prgclzrwo ug rpp ibo drppoh me ibo lrzm vbri ul ibo zbuoe oponogi bo onwpmhl iboao lirgc bul iaool orzb vuib r bmppmv iaxgq rl ue r boanui rgc r zaxzueuj voao vuibug rgc boao lpoowl bul norcmv rgc iboao lpoow bul zriipo rgc xw eamn hmgcoa zmiirko kmol r lpoowh lnmqo coow ugim culirgi vmmcprgcl vugcl r nrth vrh aorzbugk im mdoaprwwugk lwxal me nmxgirugl yriboc ug iboua bupp luco ypxo yxi ibmxkb ibo wuzixao puol ibxl iargzoc rgc ibmxkb ibul wugo iaoo lbrqol cmvg uil lukbl puqo pordol xwmg ibul lbowboac l borc hoi rpp voao drug xgpoll ibo lbowboac l oho voao eujoc xwmg ibo nrkuz liaorn yoemao bun km dului ibo waruauol ug fxgo vbog ema lzmaol mg lzmaol me nupol hmx vrco qgoo coow rnmgk iukoa pupuol vbri ul ibo mgo zbran vrgiugk vrioa iboao ul gmi r camw me vrioa iboao voao gurkrar yxi r zrirarzi me lrgc vmxpc hmx iardop hmxa ibmxlrgc nupol im loo ui vbh cuc ibo wmma wmoi me ioggolloo xwmg lxccogph aozoudugk ivm brgcexpl me lupdoa copuyoario vboiboa im yxh bun r zmri vbuzb bo lrcph goococ ma ugdoli bul nmgoh ug r wocoliaurg iauw im amzqrvrh yorzb vbh ul rpnmli odoah amyxli borpibh ymh vuib r amyxli borpibh lmxp ug bun ri lmno iuno ma miboa zarth im km im lor vbh xwmg hmxa euali dmhrko rl r wrllogkoa cuc hmx hmxalope eoop lxzb r nhliuzrp duyariumg vbog euali impc ibri hmx rgc hmxa lbuw voao gmv mxi me lukbi me prgc vbh cuc ibo mpc woalurgl bmpc ibo lor bmph vbh cuc ibo kaooql kudo ui r lowrario couih rgc mvg yamiboa me fmdo lxaoph rpp ibul ul gmi vuibmxi norgugk rgc liupp coowoa ibo norgugk me ibri limah me grazullxl vbm yozrxlo bo zmxpc gmi karlw ibo imanogiugk nupc unrko bo lrv ug ibo emxgirug wpxgkoc ugim ui rgc vrl camvgoc yxi ibri lrno unrko vo mxalopdol loo ug rpp audoal rgc mzorgl ui ul ibo unrko me ibo xgkarlwrypo wbrgimn me pueo rgc ibul ul ibo qoh im ui rpp gmv vbog u lrh ibri u rn ug ibo bryui me kmugk im lor vbogodoa u yokug im kamv brth\n",
      "Iter 0 of start 2: gfdrnte wyyauzjl gdww at ulfadtw lyat htdel djy ztite auzv fyb wyzj retgultwh fdiuzj wunnwt ye zy ayzth uz ah rkelt dzv zynfuzj rdenugkwde ny uzntetln at yz lfyet u nfykjfn u bykwv lduw doykn d wunnwt dzv ltt nft bdnteh rden ys nft byewv un ul d bdh u fdit ys veuiuzj yss nft lrwttz dzv etjkwdnuzj nft guegkwdnuyz bftztite u suzv ahltws jeybuzj jeua doykn nft ayknf bftztite un ul d vdar veuccwh zyitaote uz ah lykw bftztite u suzv ahltws uziywkzndeuwh rdkluzj otsyet gyssuz bdetfykltl dzv oeuzjuzj kr nft etde ys titeh skztedw u attn dzv tlrtgudwwh bftztite ah fhryl jtn lkgf dz krrte fdzv ys at nfdn un etpkuetl d lneyzj ayedw reuzgurwt ny retitzn at seya vtwuotedntwh lntrruzj uzny nft lnettn dzv atnfyvugdwwh mzygmuzj rtyrwt l fdnl yss nftz u dggykzn un fujf nuat ny jtn ny ltd dl lyyz dl u gdz nful ul ah lkolnunknt sye rulnyw dzv odww bunf d rfuwylyrfugdw swykeulf gdny nfeybl fualtws kryz ful lbyev u pkutnwh ndmt ny nft lfur nftet ul zynfuzj lkereuluzj uz nful us nfth okn mztb un dwayln dww atz uz nftue vtjett lyat nuat ye ynfte gfteulf iteh ztdewh nft ldat sttwuzjl nybdevl nft ygtdz bunf at nftet zyb ul hyke uzlkwde gunh ys nft adzfdnnytl otwntv eykzv oh bfdeitl dl uzvudz ulwtl oh gyedw ettsl gyaategt lkeeykzvl un bunf fte lkes eujfn dzv wtsn nft lnettnl ndmt hyk bdntebdev unl txnetat vybznybz ul nft odnnteh bftet nfdn zyowt aywt ul bdlftv oh bditl dzv gyywtv oh oettctl bfugf d stb fykel retiuykl btet ykn ys lujfn ys wdzv wyym dn nft geybvl ys bdnte jdctel nftet guegkadaokwdnt nft gunh ys d vetdah ldoodnf dsntezyyz jy seya gyewtdel fyym ny gytznutl lwur dzv seya nftzgt oh bfuntfdww zyenfbdev bfdn vy hyk ltt rylntv wumt luwtzn ltznuztwl dww deykzv nft nybz lndzv nfykldzvl kryz nfykldzvl ys ayendw atz suxtv uz ygtdz etiteutl lyat wtdzuzj djduzln nft lruwtl lyat ltdntv kryz nft rute ftdvl lyat wyymuzj yite nft okwbdeml ys lfurl seya gfuzd lyat fujf dwysn uz nft eujjuzj dl us lneuiuzj ny jtn d lnuww otnnte ltdbdev rttr okn nftlt det dww wdzvlatz ys bttm vdhl rtzn kr uz wdnf dzv rwdlnte nutv ny gykzntel zduwtv ny otzgftl gwuzgftv ny vtlml fyb nftz ul nful det nft jettz sutwvl jyzt bfdn vy nfth ftet okn wyym ftet gyat ayet geybvl rdguzj lnedujfn sye nft bdnte dzv lttauzjwh oykzv sye d vuit lnedzjt zynfuzj buww gyzntzn nfta okn nft txnetatln wuaun ys nft wdzv wyunteuzj kzvte nft lfdvh wtt ys hyzvte bdetfykltl buww zyn lkssugt zy nfth akln jtn qkln dl zujf nft bdnte dl nfth rylluowh gdz bunfykn sdwwuzj uz dzv nftet nfth lndzv auwtl ys nfta wtdjktl uzwdzvtel dww nfth gyat seya wdztl dzv dwwthl lnettnl dzv ditzktl zyenf tdln lyknf dzv btln htn ftet nfth dww kzunt ntww at vytl nft adjztnug iuenkt ys nft zttvwtl ys nft gyardlltl ys dww nfylt lfurl dnnedgn nfta nfunfte yzgt ayet ldh hyk det uz nft gykzneh uz lyat fujf wdzv ys wdmtl ndmt dwayln dzh rdnf hyk rwtdlt dzv ntz ny yzt un gdeeutl hyk vybz uz d vdwt dzv wtditl hyk nftet oh d ryyw uz nft lnetda nftet ul adjug uz un wtn nft ayln doltzn auzvtv ys atz ot rwkzjtv uz ful vttrtln etiteutl lndzv nfdn adz yz ful wtjl ltn ful sttn d jyuzj dzv ft buww uzsdwwuowh wtdv hyk ny bdnte us bdnte nftet ot uz dww nfdn etjuyz lfykwv hyk tite ot dnfueln uz nft jetdn dateugdz vtlten neh nful txrteuatzn us hyke gdedidz fdrrtz ny ot lkrrwutv bunf d atndrfhlugdw reystllye htl dl titeh yzt mzybl atvundnuyz dzv bdnte det btvvtv sye tite okn ftet ul dz denuln ft vtluetl ny rduzn hyk nft vetdautln lfdvutln pkutntln ayln tzgfdznuzj oun ys eyadznug wdzvlgdrt uz dww nft idwwth ys nft ldgy bfdn ul nft gfuts twtatzn ft tarwyhl nftet lndzv ful nettl tdgf bunf d fywwyb nekzm dl us d fteaun dzv d gekgusux btet bunfuz dzv ftet lwttrl ful atdvyb dzv nftet lwttr ful gdnnwt dzv kr seya hyzvte gynndjt jytl d lwttrh laymt vttr uzny vulndzn byyvwdzvl buzvl d adch bdh etdgfuzj ny yitewdrruzj lrkel ys aykznduzl odnftv uz nftue fuww luvt owkt okn nfykjf nft rugnket wutl nfkl nedzgtv dzv nfykjf nful ruzt nett lfdmtl vybz unl lujfl wumt wtditl kryz nful lftrftev l ftdv htn dww btet iduz kzwtll nft lftrftev l tht btet suxtv kryz nft adjug lnetda otsyet fua jy iulun nft redueutl uz qkzt bftz sye lgyetl yz lgyetl ys auwtl hyk bdvt mztt vttr dayzj nujte wuwutl bfdn ul nft yzt gfdea bdznuzj bdnte nftet ul zyn d veyr ys bdnte nftet btet zudjded okn d gdndedgn ys ldzv bykwv hyk neditw hyke nfykldzv auwtl ny ltt un bfh vuv nft ryye rytn ys ntzztlltt kryz lkvvtzwh etgtuiuzj nby fdzvskwl ys luwite vtwuotednt bftnfte ny okh fua d gydn bfugf ft ldvwh zttvtv ye uzitln ful ayzth uz d rtvtlneudz neur ny eygmdbdh otdgf bfh ul dwayln titeh eyokln ftdwnfh oyh bunf d eyokln ftdwnfh lykw uz fua dn lyat nuat ye ynfte gedch ny jy ny ltd bfh kryz hyke sueln iyhdjt dl d rdlltzjte vuv hyk hykeltws sttw lkgf d ahlnugdw iuoednuyz bftz sueln nywv nfdn hyk dzv hyke lfur btet zyb ykn ys lujfn ys wdzv bfh vuv nft ywv rteludzl fywv nft ltd fywh bfh vuv nft jettml juit un d ltrdednt vtunh dzv ybz oeynfte ys qyit lketwh dww nful ul zyn bunfykn atdzuzj dzv lnuww vttrte nft atdzuzj ys nfdn lnyeh ys zdegullkl bfy otgdklt ft gykwv zyn jedlr nft nyeatznuzj auwv uadjt ft ldb uz nft sykznduz rwkzjtv uzny un dzv bdl veybztv okn nfdn ldat uadjt bt ykeltwitl ltt uz dww euitel dzv ygtdzl un ul nft uadjt ys nft kzjedlrdowt rfdznya ys wust dzv nful ul nft mth ny un dww zyb bftz u ldh nfdn u da uz nft fdoun ys jyuzj ny ltd bftztite u otjuz ny jeyb fdch\n",
      "Iter 0 of start 3: mgvflic wssebtkh mvww ei bhgeviw hsei zivch vks tiric ebtp gsx wstk fcimbhiwz gvrbtk wbllwi sc ts estiz bt ez fachi vtp tslgbtk fvclbmawvc ls btlicihl ei st hgsci b lgsakgl b xsawp hvbw vjsal v wbllwi vtp hii lgi xvlicz fvcl sy lgi xscwp bl bh v xvz b gvri sy pcbrbtk syy lgi hfwiit vtp cikawvlbtk lgi mbcmawvlbst xgitiric b ybtp ezhiwy kcsxbtk kcbe vjsal lgi esalg xgitiric bl bh v pvef pcbnnwz tsriejic bt ez hsaw xgitiric b ybtp ezhiwy btrswatlvcbwz fvahbtk jiysci msyybt xvcigsahih vtp jcbtkbtk af lgi civc sy iricz yaticvw b eiil vtp ihfimbvwwz xgitiric ez gzfsh kil hamg vt affic gvtp sy ei lgvl bl ciuabcih v hlcstk escvw fcbtmbfwi ls fciritl ei ycse piwbjicvliwz hliffbtk btls lgi hlciil vtp eilgspbmvwwz dtsmdbtk fisfwi h gvlh syy lgit b vmmsatl bl gbkg lbei ls kil ls hiv vh hsst vh b mvt lgbh bh ez hajhlblali ysc fbhlsw vtp jvww xblg v fgbwshsfgbmvw ywsacbhg mvls lgcsxh gbehiwy afst gbh hxscp b uabilwz lvdi ls lgi hgbf lgici bh tslgbtk hacfcbhbtk bt lgbh by lgiz jal dtix bl vweshl vww eit bt lgibc pikcii hsei lbei sc slgic mgicbhg ricz tivcwz lgi hvei yiiwbtkh lsxvcph lgi smivt xblg ei lgici tsx bh zsac bthawvc mblz sy lgi evtgvllsih jiwlip csatp jz xgvcrih vh btpbvt bhwih jz mscvw ciiyh mseeicmi haccsatph bl xblg gic hacy cbkgl vtp wiyl lgi hlciilh lvdi zsa xvlicxvcp blh iolciei psxtlsxt bh lgi jvllicz xgici lgvl tsjwi eswi bh xvhgip jz xvrih vtp msswip jz jciinih xgbmg v yix gsach fcirbsah xici sal sy hbkgl sy wvtp wssd vl lgi mcsxph sy xvlic kvnich lgici mbcmaevejawvli lgi mblz sy v pcivez hvjjvlg vylictsst ks ycse mscwivch gssd ls msitlbih hwbf vtp ycse lgitmi jz xgbligvww tsclgxvcp xgvl ps zsa hii fshlip wbdi hbwitl hitlbtiwh vww vcsatp lgi lsxt hlvtp lgsahvtph afst lgsahvtph sy esclvw eit yboip bt smivt ciricbih hsei wivtbtk vkvbthl lgi hfbwih hsei hivlip afst lgi fbic givph hsei wssdbtk sric lgi jawxvcdh sy hgbfh ycse mgbtv hsei gbkg vwsyl bt lgi cbkkbtk vh by hlcbrbtk ls kil v hlbww jillic hivxvcp fiif jal lgihi vci vww wvtpheit sy xiid pvzh fitl af bt wvlg vtp fwvhlic lbip ls msatlich tvbwip ls jitmgih mwbtmgip ls pihdh gsx lgit bh lgbh vci lgi kciit ybiwph ksti xgvl ps lgiz gici jal wssd gici msei esci mcsxph fvmbtk hlcvbkgl ysc lgi xvlic vtp hiiebtkwz jsatp ysc v pbri hlcvtki tslgbtk xbww mstlitl lgie jal lgi iolcieihl wbebl sy lgi wvtp wsblicbtk atpic lgi hgvpz wii sy zstpic xvcigsahih xbww tsl hayybmi ts lgiz eahl kil qahl vh tbkg lgi xvlic vh lgiz fshhbjwz mvt xblgsal yvwwbtk bt vtp lgici lgiz hlvtp ebwih sy lgie wivkaih btwvtpich vww lgiz msei ycse wvtih vtp vwwizh hlciilh vtp vritaih tsclg ivhl hsalg vtp xihl zil gici lgiz vww atbli liww ei psih lgi evktilbm rbclai sy lgi tiipwih sy lgi msefvhhih sy vww lgshi hgbfh vllcvml lgie lgblgic stmi esci hvz zsa vci bt lgi msatlcz bt hsei gbkg wvtp sy wvdih lvdi vweshl vtz fvlg zsa fwivhi vtp lit ls sti bl mvccbih zsa psxt bt v pvwi vtp wivrih zsa lgici jz v fssw bt lgi hlcive lgici bh evkbm bt bl wil lgi eshl vjhitl ebtpip sy eit ji fwatkip bt gbh piifihl ciricbih hlvtp lgvl evt st gbh wikh hil gbh yiil v ksbtk vtp gi xbww btyvwwbjwz wivp zsa ls xvlic by xvlic lgici ji bt vww lgvl cikbst hgsawp zsa iric ji vlgbchl bt lgi kcivl veicbmvt pihicl lcz lgbh ioficbeitl by zsac mvcvrvt gvffit ls ji haffwbip xblg v eilvfgzhbmvw fcsyihhsc zih vh iricz sti dtsxh eipblvlbst vtp xvlic vci xippip ysc iric jal gici bh vt vclbhl gi pihbcih ls fvbtl zsa lgi pcivebihl hgvpbihl uabilihl eshl itmgvtlbtk jbl sy csevtlbm wvtphmvfi bt vww lgi rvwwiz sy lgi hvms xgvl bh lgi mgbiy iwieitl gi iefwszh lgici hlvtp gbh lciih ivmg xblg v gswwsx lcatd vh by v gicebl vtp v mcambybo xici xblgbt vtp gici hwiifh gbh eivpsx vtp lgici hwiif gbh mvllwi vtp af ycse zstpic msllvki ksih v hwiifz hesdi piif btls pbhlvtl xsspwvtph xbtph v evnz xvz civmgbtk ls sricwvffbtk hfach sy esatlvbth jvlgip bt lgibc gbww hbpi jwai jal lgsakg lgi fbmlaci wbih lgah lcvtmip vtp lgsakg lgbh fbti lcii hgvdih psxt blh hbkgh wbdi wivrih afst lgbh hgifgicp h givp zil vww xici rvbt atwihh lgi hgifgicp h izi xici yboip afst lgi evkbm hlcive jiysci gbe ks rbhbl lgi fcvbcbih bt qati xgit ysc hmscih st hmscih sy ebwih zsa xvpi dtii piif vestk lbkic wbwbih xgvl bh lgi sti mgvce xvtlbtk xvlic lgici bh tsl v pcsf sy xvlic lgici xici tbvkvcv jal v mvlvcvml sy hvtp xsawp zsa lcvriw zsac lgsahvtp ebwih ls hii bl xgz pbp lgi fssc fsil sy littihhii afst happitwz cimibrbtk lxs gvtpyawh sy hbwric piwbjicvli xgilgic ls jaz gbe v msvl xgbmg gi hvpwz tiipip sc btrihl gbh estiz bt v fipihlcbvt lcbf ls csmdvxvz jivmg xgz bh vweshl iricz csjahl givwlgz jsz xblg v csjahl givwlgz hsaw bt gbe vl hsei lbei sc slgic mcvnz ls ks ls hiv xgz afst zsac ybchl rszvki vh v fvhhitkic pbp zsa zsachiwy yiiw hamg v ezhlbmvw rbjcvlbst xgit ybchl lswp lgvl zsa vtp zsac hgbf xici tsx sal sy hbkgl sy wvtp xgz pbp lgi swp fichbvth gswp lgi hiv gswz xgz pbp lgi kciidh kbri bl v hifvcvli piblz vtp sxt jcslgic sy qsri haciwz vww lgbh bh tsl xblgsal eivtbtk vtp hlbww piific lgi eivtbtk sy lgvl hlscz sy tvcmbhhah xgs jimvahi gi msawp tsl kcvhf lgi lsceitlbtk ebwp bevki gi hvx bt lgi ysatlvbt fwatkip btls bl vtp xvh pcsxtip jal lgvl hvei bevki xi sachiwrih hii bt vww cbrich vtp smivth bl bh lgi bevki sy lgi atkcvhfvjwi fgvtlse sy wbyi vtp lgbh bh lgi diz ls bl vww tsx xgit b hvz lgvl b ve bt lgi gvjbl sy ksbtk ls hiv xgitiric b jikbt ls kcsx gvnz\n",
      "Not updating anymore after iteration 28\n",
      "Iter 0 of start 1: guqnelc yppdfkzt gqyy dl ftudqly tpdl olqct qzp klvlc dfkm upx ypkz nclgftlyo uqvfkz yfeeyl pc kp dpklo fk do nrctl qkm kpeufkz nqcefgryqc ep fkelclte dl pk tupcl f euprzue f xprym tqfy qapre q yfeeyl qkm tll eul xqelco nqce pi eul xpcym fe ft q xqo f uqvl pi mcfvfkz pii eul tnyllk qkm clzryqefkz eul gfcgryqefpk xulklvlc f ifkm dotlyi zcpxfkz zcfd qapre eul dpreu xulklvlc fe ft q mqdn mcfhhyo kpvldalc fk do tpry xulklvlc f ifkm dotlyi fkvpyrkeqcfyo nqrtfkz alipcl gpiifk xqcluprtlt qkm acfkzfkz rn eul clqc pi lvlco irklcqy f dlle qkm ltnlgfqyyo xulklvlc do uonpt zle trgu qk rnnlc uqkm pi dl euqe fe clsrfclt q tecpkz dpcqy ncfkgfnyl ep nclvlke dl icpd mlyfalcqelyo telnnfkz fkep eul teclle qkm dleupmfgqyyo jkpgjfkz nlpnyl t uqet pii eulk f qggprke fe ufzu efdl ep zle ep tlq qt tppk qt f gqk euft ft do trateferel ipc nftepy qkm aqyy xfeu q nufyptpnufgqy iyprcftu gqep eucpxt ufdtlyi rnpk uft txpcm f srfleyo eqjl ep eul tufn eulcl ft kpeufkz trcncftfkz fk euft fi eulo are jklx fe qydpte qyy dlk fk eulfc mlzcll tpdl efdl pc peulc gulcftu vlco klqcyo eul tqdl illyfkzt epxqcmt eul pglqk xfeu dl eulcl kpx ft oprc fktryqc gfeo pi eul dqkuqeeplt alyelm cprkm ao xuqcvlt qt fkmfqk ftylt ao gpcqy cllit gpddlcgl trccprkmt fe xfeu ulc trci cfzue qkm ylie eul tecllet eqjl opr xqelcxqcm fet lwecldl mpxkepxk ft eul aqeelco xulcl euqe kpayl dpyl ft xqtulm ao xqvlt qkm gppylm ao acllhlt xufgu q ilx uprct nclvfprt xlcl pre pi tfzue pi yqkm yppj qe eul gcpxmt pi xqelc zqhlct eulcl gfcgrdqdaryqel eul gfeo pi q mclqdo tqaaqeu qielckppk zp icpd gpcylqct uppj ep gplkeflt tyfn qkm icpd eulkgl ao xufeluqyy kpceuxqcm xuqe mp opr tll nptelm yfjl tfylke tlkefklyt qyy qcprkm eul epxk teqkm euprtqkmt rnpk euprtqkmt pi dpceqy dlk ifwlm fk pglqk clvlcflt tpdl ylqkfkz qzqfkte eul tnfylt tpdl tlqelm rnpk eul nflc ulqmt tpdl yppjfkz pvlc eul aryxqcjt pi tufnt icpd gufkq tpdl ufzu qypie fk eul cfzzfkz qt fi tecfvfkz ep zle q tefyy aleelc tlqxqcm nlln are eultl qcl qyy yqkmtdlk pi xllj mqot nlke rn fk yqeu qkm nyqtelc eflm ep gprkelct kqfylm ep alkgult gyfkgulm ep mltjt upx eulk ft euft qcl eul zcllk iflymt zpkl xuqe mp eulo ulcl are yppj ulcl gpdl dpcl gcpxmt nqgfkz tecqfzue ipc eul xqelc qkm tlldfkzyo aprkm ipc q mfvl tecqkzl kpeufkz xfyy gpkelke euld are eul lwecldlte yfdfe pi eul yqkm ypfelcfkz rkmlc eul tuqmo yll pi opkmlc xqcluprtlt xfyy kpe triifgl kp eulo drte zle brte qt kfzu eul xqelc qt eulo npttfayo gqk xfeupre iqyyfkz fk qkm eulcl eulo teqkm dfylt pi euld ylqzrlt fkyqkmlct qyy eulo gpdl icpd yqklt qkm qyylot tecllet qkm qvlkrlt kpceu lqte tpreu qkm xlte ole ulcl eulo qyy rkfel elyy dl mplt eul dqzklefg vfcerl pi eul kllmylt pi eul gpdnqttlt pi qyy euptl tufnt qeecqge euld eufeulc pkgl dpcl tqo opr qcl fk eul gprkeco fk tpdl ufzu yqkm pi yqjlt eqjl qydpte qko nqeu opr nylqtl qkm elk ep pkl fe gqccflt opr mpxk fk q mqyl qkm ylqvlt opr eulcl ao q nppy fk eul teclqd eulcl ft dqzfg fk fe yle eul dpte qatlke dfkmlm pi dlk al nyrkzlm fk uft mllnlte clvlcflt teqkm euqe dqk pk uft ylzt tle uft ille q zpfkz qkm ul xfyy fkiqyyfayo ylqm opr ep xqelc fi xqelc eulcl al fk qyy euqe clzfpk tuprym opr lvlc al qeufcte fk eul zclqe qdlcfgqk mltlce eco euft lwnlcfdlke fi oprc gqcqvqk uqnnlk ep al trnnyflm xfeu q dleqnuotfgqy ncpilttpc olt qt lvlco pkl jkpxt dlmfeqefpk qkm xqelc qcl xlmmlm ipc lvlc are ulcl ft qk qcefte ul mltfclt ep nqfke opr eul mclqdflte tuqmflte srflelte dpte lkguqkefkz afe pi cpdqkefg yqkmtgqnl fk qyy eul vqyylo pi eul tqgp xuqe ft eul gufli lyldlke ul ldnypot eulcl teqkm uft ecllt lqgu xfeu q upyypx ecrkj qt fi q ulcdfe qkm q gcrgfifw xlcl xfeufk qkm ulcl tyllnt uft dlqmpx qkm eulcl tylln uft gqeeyl qkm rn icpd opkmlc gpeeqzl zplt q tyllno tdpjl mlln fkep mfteqke xppmyqkmt xfkmt q dqho xqo clqgufkz ep pvlcyqnnfkz tnrct pi dprkeqfkt aqeulm fk eulfc ufyy tfml ayrl are euprzu eul nfgercl yflt eurt ecqkglm qkm euprzu euft nfkl ecll tuqjlt mpxk fet tfzut yfjl ylqvlt rnpk euft tulnulcm t ulqm ole qyy xlcl vqfk rkyltt eul tulnulcm t lol xlcl ifwlm rnpk eul dqzfg teclqd alipcl ufd zp vftfe eul ncqfcflt fk brkl xulk ipc tgpclt pk tgpclt pi dfylt opr xqml jkll mlln qdpkz efzlc yfyflt xuqe ft eul pkl guqcd xqkefkz xqelc eulcl ft kpe q mcpn pi xqelc eulcl xlcl kfqzqcq are q gqeqcqge pi tqkm xprym opr ecqvly oprc euprtqkm dfylt ep tll fe xuo mfm eul nppc nple pi elkklttll rnpk trmmlkyo clglfvfkz exp uqkmiryt pi tfyvlc mlyfalcqel xuleulc ep aro ufd q gpqe xufgu ul tqmyo kllmlm pc fkvlte uft dpklo fk q nlmltecfqk ecfn ep cpgjqxqo alqgu xuo ft qydpte lvlco cparte ulqyeuo apo xfeu q cparte ulqyeuo tpry fk ufd qe tpdl efdl pc peulc gcqho ep zp ep tlq xuo rnpk oprc ifcte vpoqzl qt q nqttlkzlc mfm opr oprctlyi illy trgu q dotefgqy vfacqefpk xulk ifcte epym euqe opr qkm oprc tufn xlcl kpx pre pi tfzue pi yqkm xuo mfm eul pym nlctfqkt upym eul tlq upyo xuo mfm eul zclljt zfvl fe q tlnqcqel mlfeo qkm pxk acpeulc pi bpvl trclyo qyy euft ft kpe xfeupre dlqkfkz qkm tefyy mllnlc eul dlqkfkz pi euqe tepco pi kqcgfttrt xup algqrtl ul gprym kpe zcqtn eul epcdlkefkz dfym fdqzl ul tqx fk eul iprkeqfk nyrkzlm fkep fe qkm xqt mcpxklm are euqe tqdl fdqzl xl prctlyvlt tll fk qyy cfvlct qkm pglqkt fe ft eul fdqzl pi eul rkzcqtnqayl nuqkepd pi yfil qkm euft ft eul jlo ep fe qyy kpx xulk f tqo euqe f qd fk eul uqafe pi zpfkz ep tlq xulklvlc f alzfk ep zcpx uqho\n",
      "Iter 0 of start 2: vcisjmf oddnrwqp vioo nm rpcnimo pdnm bmifp iqd wmlmf nrwe cda odwq sfmvrpmob cilrwq orjjom df wd ndwmb rw nb szfpm iwe wdjcrwq sifjrvzoif jd rwjmfmpj nm dw pcdfm r jcdzqcj r adzoe piro iydzj i orjjom iwe pmm jcm aijmfb sifj dt jcm adfoe rj rp i aib r cilm dt efrlrwq dtt jcm psommw iwe fmqzoijrwq jcm vrfvzoijrdw acmwmlmf r trwe nbpmot qfdarwq qfrn iydzj jcm ndzjc acmwmlmf rj rp i eins efruuob wdlmnymf rw nb pdzo acmwmlmf r trwe nbpmot rwldozwjifrob sizprwq ymtdfm vdttrw aifmcdzpmp iwe yfrwqrwq zs jcm fmif dt mlmfb tzwmfio r nmmj iwe mpsmvrioob acmwmlmf nb cbsdp qmj pzvc iw zssmf ciwe dt nm jcij rj fmkzrfmp i pjfdwq ndfio sfrwvrsom jd sfmlmwj nm tfdn emorymfijmob pjmssrwq rwjd jcm pjfmmj iwe nmjcdervioob hwdvhrwq smdsom p cijp dtt jcmw r ivvdzwj rj crqc jrnm jd qmj jd pmi ip pddw ip r viw jcrp rp nb pzypjrjzjm tdf srpjdo iwe yioo arjc i scrodpdscrvio todzfrpc vijd jcfdap crnpmot zsdw crp padfe r kzrmjob jihm jd jcm pcrs jcmfm rp wdjcrwq pzfsfrprwq rw jcrp rt jcmb yzj hwma rj iondpj ioo nmw rw jcmrf emqfmm pdnm jrnm df djcmf vcmfrpc lmfb wmifob jcm pinm tmmorwqp jdaifep jcm dvmiw arjc nm jcmfm wda rp bdzf rwpzoif vrjb dt jcm niwcijjdmp ymojme fdzwe yb aciflmp ip rweriw rpomp yb vdfio fmmtp vdnnmfvm pzffdzwep rj arjc cmf pzft frqcj iwe omtj jcm pjfmmjp jihm bdz aijmfaife rjp mgjfmnm edawjdaw rp jcm yijjmfb acmfm jcij wdyom ndom rp aipcme yb ailmp iwe vddome yb yfmmump acrvc i tma cdzfp sfmlrdzp amfm dzj dt prqcj dt oiwe oddh ij jcm vfdaep dt aijmf qiumfp jcmfm vrfvzninyzoijm jcm vrjb dt i efminb piyyijc itjmfwddw qd tfdn vdfomifp cddh jd vdmwjrmp pors iwe tfdn jcmwvm yb acrjmcioo wdfjcaife acij ed bdz pmm sdpjme orhm promwj pmwjrwmop ioo ifdzwe jcm jdaw pjiwe jcdzpiwep zsdw jcdzpiwep dt ndfjio nmw trgme rw dvmiw fmlmfrmp pdnm omiwrwq iqirwpj jcm psromp pdnm pmijme zsdw jcm srmf cmiep pdnm oddhrwq dlmf jcm yzoaifhp dt pcrsp tfdn vcrwi pdnm crqc iodtj rw jcm frqqrwq ip rt pjfrlrwq jd qmj i pjroo ymjjmf pmiaife smms yzj jcmpm ifm ioo oiwepnmw dt ammh eibp smwj zs rw oijc iwe soipjmf jrme jd vdzwjmfp wirome jd ymwvcmp vorwvcme jd emphp cda jcmw rp jcrp ifm jcm qfmmw trmoep qdwm acij ed jcmb cmfm yzj oddh cmfm vdnm ndfm vfdaep sivrwq pjfirqcj tdf jcm aijmf iwe pmmnrwqob ydzwe tdf i erlm pjfiwqm wdjcrwq aroo vdwjmwj jcmn yzj jcm mgjfmnmpj ornrj dt jcm oiwe odrjmfrwq zwemf jcm pcieb omm dt bdwemf aifmcdzpmp aroo wdj pzttrvm wd jcmb nzpj qmj xzpj ip wrqc jcm aijmf ip jcmb sdppryob viw arjcdzj tioorwq rw iwe jcmfm jcmb pjiwe nromp dt jcmn omiqzmp rwoiwemfp ioo jcmb vdnm tfdn oiwmp iwe ioombp pjfmmjp iwe ilmwzmp wdfjc mipj pdzjc iwe ampj bmj cmfm jcmb ioo zwrjm jmoo nm edmp jcm niqwmjrv lrfjzm dt jcm wmmeomp dt jcm vdnsippmp dt ioo jcdpm pcrsp ijjfivj jcmn jcrjcmf dwvm ndfm pib bdz ifm rw jcm vdzwjfb rw pdnm crqc oiwe dt oihmp jihm iondpj iwb sijc bdz somipm iwe jmw jd dwm rj viffrmp bdz edaw rw i eiom iwe omilmp bdz jcmfm yb i sddo rw jcm pjfmin jcmfm rp niqrv rw rj omj jcm ndpj iypmwj nrweme dt nmw ym sozwqme rw crp emmsmpj fmlmfrmp pjiwe jcij niw dw crp omqp pmj crp tmmj i qdrwq iwe cm aroo rwtiooryob omie bdz jd aijmf rt aijmf jcmfm ym rw ioo jcij fmqrdw pcdzoe bdz mlmf ym ijcrfpj rw jcm qfmij inmfrviw empmfj jfb jcrp mgsmfrnmwj rt bdzf vifiliw cissmw jd ym pzssorme arjc i nmjiscbprvio sfdtmppdf bmp ip mlmfb dwm hwdap nmerjijrdw iwe aijmf ifm ameeme tdf mlmf yzj cmfm rp iw ifjrpj cm emprfmp jd sirwj bdz jcm efminrmpj pciermpj kzrmjmpj ndpj mwvciwjrwq yrj dt fdniwjrv oiwepvism rw ioo jcm lioomb dt jcm pivd acij rp jcm vcrmt momnmwj cm mnsodbp jcmfm pjiwe crp jfmmp mivc arjc i cdooda jfzwh ip rt i cmfnrj iwe i vfzvrtrg amfm arjcrw iwe cmfm pommsp crp nmieda iwe jcmfm pomms crp vijjom iwe zs tfdn bdwemf vdjjiqm qdmp i pommsb pndhm emms rwjd erpjiwj addeoiwep arwep i niub aib fmivcrwq jd dlmfoissrwq pszfp dt ndzwjirwp yijcme rw jcmrf croo prem yozm yzj jcdzqc jcm srvjzfm ormp jczp jfiwvme iwe jcdzqc jcrp srwm jfmm pcihmp edaw rjp prqcp orhm omilmp zsdw jcrp pcmscmfe p cmie bmj ioo amfm lirw zwompp jcm pcmscmfe p mbm amfm trgme zsdw jcm niqrv pjfmin ymtdfm crn qd lrprj jcm sfirfrmp rw xzwm acmw tdf pvdfmp dw pvdfmp dt nromp bdz aiem hwmm emms indwq jrqmf orormp acij rp jcm dwm vcifn aiwjrwq aijmf jcmfm rp wdj i efds dt aijmf jcmfm amfm wriqifi yzj i vijifivj dt piwe adzoe bdz jfilmo bdzf jcdzpiwe nromp jd pmm rj acb ere jcm sddf sdmj dt jmwwmppmm zsdw pzeemwob fmvmrlrwq jad ciwetzop dt prolmf emorymfijm acmjcmf jd yzb crn i vdij acrvc cm pieob wmmeme df rwlmpj crp ndwmb rw i smempjfriw jfrs jd fdvhiaib ymivc acb rp iondpj mlmfb fdyzpj cmiojcb ydb arjc i fdyzpj cmiojcb pdzo rw crn ij pdnm jrnm df djcmf vfiub jd qd jd pmi acb zsdw bdzf trfpj ldbiqm ip i sippmwqmf ere bdz bdzfpmot tmmo pzvc i nbpjrvio lryfijrdw acmw trfpj jdoe jcij bdz iwe bdzf pcrs amfm wda dzj dt prqcj dt oiwe acb ere jcm doe smfpriwp cdoe jcm pmi cdob acb ere jcm qfmmhp qrlm rj i pmsifijm emrjb iwe daw yfdjcmf dt xdlm pzfmob ioo jcrp rp wdj arjcdzj nmiwrwq iwe pjroo emmsmf jcm nmiwrwq dt jcij pjdfb dt wifvrppzp acd ymvizpm cm vdzoe wdj qfips jcm jdfnmwjrwq nroe rniqm cm pia rw jcm tdzwjirw sozwqme rwjd rj iwe aip efdawme yzj jcij pinm rniqm am dzfpmolmp pmm rw ioo frlmfp iwe dvmiwp rj rp jcm rniqm dt jcm zwqfipsiyom sciwjdn dt ortm iwe jcrp rp jcm hmb jd rj ioo wda acmw r pib jcij r in rw jcm ciyrj dt qdrwq jd pmi acmwmlmf r ymqrw jd qfda ciub\n",
      "Iter 0 of start 3: dufwglq izzhsvro dfii hl souhfli ozhl jlfqo frz vlalq hsvx uzt izvr wqldsolij ufasvr isggil zq vz hzvlj sv hj wpqol fvx vzgusvr wfqgsdpifq gz svglqlog hl zv ouzql s guzprug s tzpix ofsi fczpg f isggil fvx oll gul tfglqj wfqg zn gul tzqix sg so f tfj s ufal zn xqsasvr znn gul owillv fvx qlrpifgsvr gul dsqdpifgszv tulvlalq s nsvx hjolin rqztsvr rqsh fczpg gul hzpgu tulvlalq sg so f xfhw xqseeij vzalhclq sv hj ozpi tulvlalq s nsvx hjolin svazipvgfqsij wfposvr clnzql dznnsv tfqluzpolo fvx cqsvrsvr pw gul qlfq zn lalqj npvlqfi s hllg fvx lowldsfiij tulvlalq hj ujwzo rlg opdu fv pwwlq ufvx zn hl gufg sg qlypsqlo f ogqzvr hzqfi wqsvdswil gz wqlalvg hl nqzh xlisclqfglij oglwwsvr svgz gul ogqllg fvx hlguzxsdfiij mvzdmsvr wlzwil o ufgo znn gulv s fddzpvg sg usru gshl gz rlg gz olf fo ozzv fo s dfv guso so hj opcogsgpgl nzq wsogzi fvx cfii tsgu f wusizozwusdfi nizpqsou dfgz guqzto usholin pwzv uso otzqx s ypslgij gfml gz gul ousw gulql so vzgusvr opqwqsosvr sv guso sn gulj cpg mvlt sg fihzog fii hlv sv gulsq xlrqll ozhl gshl zq zgulq dulqsou alqj vlfqij gul ofhl nllisvro gztfqxo gul zdlfv tsgu hl gulql vzt so jzpq svopifq dsgj zn gul hfvufggzlo cliglx qzpvx cj tufqalo fo svxsfv soilo cj dzqfi qllno dzhhlqdl opqqzpvxo sg tsgu ulq opqn qsrug fvx ilng gul ogqllgo gfml jzp tfglqtfqx sgo lbgqlhl xztvgztv so gul cfgglqj tulql gufg vzcil hzil so tfoulx cj tfalo fvx dzzilx cj cqllelo tusdu f nlt uzpqo wqlaszpo tlql zpg zn osrug zn ifvx izzm fg gul dqztxo zn tfglq rfelqo gulql dsqdphfhcpifgl gul dsgj zn f xqlfhj ofccfgu fnglqvzzv rz nqzh dzqilfqo uzzm gz dzlvgslo oisw fvx nqzh gulvdl cj tusglufii vzqgutfqx tufg xz jzp oll wzoglx isml osilvg olvgsvlio fii fqzpvx gul gztv ogfvx guzpofvxo pwzv guzpofvxo zn hzqgfi hlv nsblx sv zdlfv qlalqslo ozhl ilfvsvr frfsvog gul owsilo ozhl olfglx pwzv gul wslq ulfxo ozhl izzmsvr zalq gul cpitfqmo zn ouswo nqzh dusvf ozhl usru fizng sv gul qsrrsvr fo sn ogqsasvr gz rlg f ogsii clgglq olftfqx wllw cpg gulol fql fii ifvxohlv zn tllm xfjo wlvg pw sv ifgu fvx wifoglq gslx gz dzpvglqo vfsilx gz clvdulo disvdulx gz xlomo uzt gulv so guso fql gul rqllv nslixo rzvl tufg xz gulj ulql cpg izzm ulql dzhl hzql dqztxo wfdsvr ogqfsrug nzq gul tfglq fvx ollhsvrij czpvx nzq f xsal ogqfvrl vzgusvr tsii dzvglvg gulh cpg gul lbgqlhlog ishsg zn gul ifvx izsglqsvr pvxlq gul oufxj ill zn jzvxlq tfqluzpolo tsii vzg opnnsdl vz gulj hpog rlg kpog fo vsru gul tfglq fo gulj wzooscij dfv tsguzpg nfiisvr sv fvx gulql gulj ogfvx hsilo zn gulh ilfrplo svifvxlqo fii gulj dzhl nqzh ifvlo fvx fiiljo ogqllgo fvx falvplo vzqgu lfog ozpgu fvx tlog jlg ulql gulj fii pvsgl glii hl xzlo gul hfrvlgsd asqgpl zn gul vllxilo zn gul dzhwfoolo zn fii guzol ouswo fggqfdg gulh gusgulq zvdl hzql ofj jzp fql sv gul dzpvgqj sv ozhl usru ifvx zn ifmlo gfml fihzog fvj wfgu jzp wilfol fvx glv gz zvl sg dfqqslo jzp xztv sv f xfil fvx ilfalo jzp gulql cj f wzzi sv gul ogqlfh gulql so hfrsd sv sg ilg gul hzog fcolvg hsvxlx zn hlv cl wipvrlx sv uso xllwlog qlalqslo ogfvx gufg hfv zv uso ilro olg uso nllg f rzsvr fvx ul tsii svnfiiscij ilfx jzp gz tfglq sn tfglq gulql cl sv fii gufg qlrszv ouzpix jzp lalq cl fgusqog sv gul rqlfg fhlqsdfv xlolqg gqj guso lbwlqshlvg sn jzpq dfqfafv ufwwlv gz cl opwwislx tsgu f hlgfwujosdfi wqznloozq jlo fo lalqj zvl mvzto hlxsgfgszv fvx tfglq fql tlxxlx nzq lalq cpg ulql so fv fqgsog ul xlosqlo gz wfsvg jzp gul xqlfhslog oufxslog ypslglog hzog lvdufvgsvr csg zn qzhfvgsd ifvxodfwl sv fii gul afiilj zn gul ofdz tufg so gul dusln lilhlvg ul lhwizjo gulql ogfvx uso gqllo lfdu tsgu f uziizt gqpvm fo sn f ulqhsg fvx f dqpdsnsb tlql tsgusv fvx ulql oillwo uso hlfxzt fvx gulql oillw uso dfggil fvx pw nqzh jzvxlq dzggfrl rzlo f oillwj ohzml xllw svgz xsogfvg tzzxifvxo tsvxo f hfej tfj qlfdusvr gz zalqifwwsvr owpqo zn hzpvgfsvo cfgulx sv gulsq usii osxl cipl cpg guzpru gul wsdgpql islo gupo gqfvdlx fvx guzpru guso wsvl gqll oufmlo xztv sgo osruo isml ilfalo pwzv guso oulwulqx o ulfx jlg fii tlql afsv pviloo gul oulwulqx o ljl tlql nsblx pwzv gul hfrsd ogqlfh clnzql ush rz asosg gul wqfsqslo sv kpvl tulv nzq odzqlo zv odzqlo zn hsilo jzp tfxl mvll xllw fhzvr gsrlq isislo tufg so gul zvl dufqh tfvgsvr tfglq gulql so vzg f xqzw zn tfglq gulql tlql vsfrfqf cpg f dfgfqfdg zn ofvx tzpix jzp gqfali jzpq guzpofvx hsilo gz oll sg tuj xsx gul wzzq wzlg zn glvvlooll pwzv opxxlvij qldlsasvr gtz ufvxnpio zn osialq xlisclqfgl tulgulq gz cpj ush f dzfg tusdu ul ofxij vllxlx zq svalog uso hzvlj sv f wlxlogqsfv gqsw gz qzdmftfj clfdu tuj so fihzog lalqj qzcpog ulfiguj czj tsgu f qzcpog ulfiguj ozpi sv ush fg ozhl gshl zq zgulq dqfej gz rz gz olf tuj pwzv jzpq nsqog azjfrl fo f wfoolvrlq xsx jzp jzpqolin nlli opdu f hjogsdfi ascqfgszv tulv nsqog gzix gufg jzp fvx jzpq ousw tlql vzt zpg zn osrug zn ifvx tuj xsx gul zix wlqosfvo uzix gul olf uzij tuj xsx gul rqllmo rsal sg f olwfqfgl xlsgj fvx ztv cqzgulq zn kzal opqlij fii guso so vzg tsguzpg hlfvsvr fvx ogsii xllwlq gul hlfvsvr zn gufg ogzqj zn vfqdsoopo tuz cldfpol ul dzpix vzg rqfow gul gzqhlvgsvr hsix shfrl ul oft sv gul nzpvgfsv wipvrlx svgz sg fvx tfo xqztvlx cpg gufg ofhl shfrl tl zpqolialo oll sv fii qsalqo fvx zdlfvo sg so gul shfrl zn gul pvrqfowfcil wufvgzh zn isnl fvx guso so gul mlj gz sg fii vzt tulv s ofj gufg s fh sv gul ufcsg zn rzsvr gz olf tulvlalq s clrsv gz rqzt ufej\n",
      "Not updating anymore after iteration 28\n",
      "Iter 0 of start 1: bhwcvuk iffxjzon bwii xu jnhxwui nfxu euwkn wof zuduk xjzt hfl ifzo ckubjnuie hwdjzo ijvviu fk zf xfzue jz xe cmknu wzt zfvhjzo cwkvjbmiwk vf jzvukunv xu fz nhfku j vhfmohv j lfmit nwji wyfmv w ijvviu wzt nuu vhu lwvuke cwkv fa vhu lfkit jv jn w lwe j hwdu fa tkjdjzo faa vhu nciuuz wzt kuomiwvjzo vhu bjkbmiwvjfz lhuzuduk j ajzt xenuia okfljzo okjx wyfmv vhu xfmvh lhuzuduk jv jn w twxc tkjggie zfduxyuk jz xe nfmi lhuzuduk j ajzt xenuia jzdfimzvwkjie cwmnjzo yuafku bfaajz lwkuhfmnun wzt ykjzojzo mc vhu kuwk fa uduke amzukwi j xuuv wzt uncubjwiie lhuzuduk xe hecfn ouv nmbh wz mccuk hwzt fa xu vhwv jv kusmjkun w nvkfzo xfkwi ckjzbjciu vf ckuduzv xu akfx tuijyukwvuie nvuccjzo jzvf vhu nvkuuv wzt xuvhftjbwiie pzfbpjzo cufciu n hwvn faa vhuz j wbbfmzv jv hjoh vjxu vf ouv vf nuw wn nffz wn j bwz vhjn jn xe nmynvjvmvu afk cjnvfi wzt ywii ljvh w chjifnfchjbwi aifmkjnh bwvf vhkfln hjxnuia mcfz hjn nlfkt j smjuvie vwpu vf vhu nhjc vhuku jn zfvhjzo nmkckjnjzo jz vhjn ja vhue ymv pzul jv wixfnv wii xuz jz vhujk tuokuu nfxu vjxu fk fvhuk bhukjnh duke zuwkie vhu nwxu auuijzon vflwktn vhu fbuwz ljvh xu vhuku zfl jn efmk jznmiwk bjve fa vhu xwzhwvvfun yuivut kfmzt ye lhwkdun wn jztjwz jniun ye bfkwi kuuan bfxxukbu nmkkfmztn jv ljvh huk nmka kjohv wzt iuav vhu nvkuuvn vwpu efm lwvuklwkt jvn urvkuxu tflzvflz jn vhu ywvvuke lhuku vhwv zfyiu xfiu jn lwnhut ye lwdun wzt bffiut ye ykuugun lhjbh w aul hfmkn ckudjfmn luku fmv fa njohv fa iwzt iffp wv vhu bkfltn fa lwvuk owgukn vhuku bjkbmxwxymiwvu vhu bjve fa w tkuwxe nwyywvh wavukzffz of akfx bfkiuwkn hffp vf bfuzvjun nijc wzt akfx vhuzbu ye lhjvuhwii zfkvhlwkt lhwv tf efm nuu cfnvut ijpu njiuzv nuzvjzuin wii wkfmzt vhu vflz nvwzt vhfmnwztn mcfz vhfmnwztn fa xfkvwi xuz ajrut jz fbuwz kudukjun nfxu iuwzjzo wowjznv vhu ncjiun nfxu nuwvut mcfz vhu cjuk huwtn nfxu iffpjzo fduk vhu ymilwkpn fa nhjcn akfx bhjzw nfxu hjoh wifav jz vhu kjoojzo wn ja nvkjdjzo vf ouv w nvjii yuvvuk nuwlwkt cuuc ymv vhunu wku wii iwztnxuz fa luup twen cuzv mc jz iwvh wzt ciwnvuk vjut vf bfmzvukn zwjiut vf yuzbhun bijzbhut vf tunpn hfl vhuz jn vhjn wku vhu okuuz ajuitn ofzu lhwv tf vhue huku ymv iffp huku bfxu xfku bkfltn cwbjzo nvkwjohv afk vhu lwvuk wzt nuuxjzoie yfmzt afk w tjdu nvkwzou zfvhjzo ljii bfzvuzv vhux ymv vhu urvkuxunv ijxjv fa vhu iwzt ifjvukjzo mztuk vhu nhwte iuu fa efztuk lwkuhfmnun ljii zfv nmaajbu zf vhue xmnv ouv qmnv wn zjoh vhu lwvuk wn vhue cfnnjyie bwz ljvhfmv awiijzo jz wzt vhuku vhue nvwzt xjiun fa vhux iuwomun jziwztukn wii vhue bfxu akfx iwzun wzt wiiuen nvkuuvn wzt wduzmun zfkvh uwnv nfmvh wzt lunv euv huku vhue wii mzjvu vuii xu tfun vhu xwozuvjb djkvmu fa vhu zuutiun fa vhu bfxcwnnun fa wii vhfnu nhjcn wvvkwbv vhux vhjvhuk fzbu xfku nwe efm wku jz vhu bfmzvke jz nfxu hjoh iwzt fa iwpun vwpu wixfnv wze cwvh efm ciuwnu wzt vuz vf fzu jv bwkkjun efm tflz jz w twiu wzt iuwdun efm vhuku ye w cffi jz vhu nvkuwx vhuku jn xwojb jz jv iuv vhu xfnv wynuzv xjztut fa xuz yu cimzout jz hjn tuucunv kudukjun nvwzt vhwv xwz fz hjn iuon nuv hjn auuv w ofjzo wzt hu ljii jzawiijyie iuwt efm vf lwvuk ja lwvuk vhuku yu jz wii vhwv kuojfz nhfmit efm uduk yu wvhjknv jz vhu okuwv wxukjbwz tunukv vke vhjn urcukjxuzv ja efmk bwkwdwz hwccuz vf yu nmccijut ljvh w xuvwchenjbwi ckfaunnfk eun wn uduke fzu pzfln xutjvwvjfz wzt lwvuk wku luttut afk uduk ymv huku jn wz wkvjnv hu tunjkun vf cwjzv efm vhu tkuwxjunv nhwtjunv smjuvunv xfnv uzbhwzvjzo yjv fa kfxwzvjb iwztnbwcu jz wii vhu dwiiue fa vhu nwbf lhwv jn vhu bhjua uiuxuzv hu uxcifen vhuku nvwzt hjn vkuun uwbh ljvh w hfiifl vkmzp wn ja w hukxjv wzt w bkmbjajr luku ljvhjz wzt huku niuucn hjn xuwtfl wzt vhuku niuuc hjn bwvviu wzt mc akfx efztuk bfvvwou ofun w niuuce nxfpu tuuc jzvf tjnvwzv lfftiwztn ljztn w xwge lwe kuwbhjzo vf fdukiwccjzo ncmkn fa xfmzvwjzn ywvhut jz vhujk hjii njtu yimu ymv vhfmoh vhu cjbvmku ijun vhmn vkwzbut wzt vhfmoh vhjn cjzu vkuu nhwpun tflz jvn njohn ijpu iuwdun mcfz vhjn nhuchukt n huwt euv wii luku dwjz mziunn vhu nhuchukt n ueu luku ajrut mcfz vhu xwojb nvkuwx yuafku hjx of djnjv vhu ckwjkjun jz qmzu lhuz afk nbfkun fz nbfkun fa xjiun efm lwtu pzuu tuuc wxfzo vjouk ijijun lhwv jn vhu fzu bhwkx lwzvjzo lwvuk vhuku jn zfv w tkfc fa lwvuk vhuku luku zjwowkw ymv w bwvwkwbv fa nwzt lfmit efm vkwdui efmk vhfmnwzt xjiun vf nuu jv lhe tjt vhu cffk cfuv fa vuzzunnuu mcfz nmttuzie kubujdjzo vlf hwztamin fa njiduk tuijyukwvu lhuvhuk vf yme hjx w bfwv lhjbh hu nwtie zuutut fk jzdunv hjn xfzue jz w cutunvkjwz vkjc vf kfbpwlwe yuwbh lhe jn wixfnv uduke kfymnv huwivhe yfe ljvh w kfymnv huwivhe nfmi jz hjx wv nfxu vjxu fk fvhuk bkwge vf of vf nuw lhe mcfz efmk ajknv dfewou wn w cwnnuzouk tjt efm efmknuia auui nmbh w xenvjbwi djykwvjfz lhuz ajknv vfit vhwv efm wzt efmk nhjc luku zfl fmv fa njohv fa iwzt lhe tjt vhu fit cuknjwzn hfit vhu nuw hfie lhe tjt vhu okuupn ojdu jv w nucwkwvu tujve wzt flz ykfvhuk fa qfdu nmkuie wii vhjn jn zfv ljvhfmv xuwzjzo wzt nvjii tuucuk vhu xuwzjzo fa vhwv nvfke fa zwkbjnnmn lhf yubwmnu hu bfmit zfv okwnc vhu vfkxuzvjzo xjit jxwou hu nwl jz vhu afmzvwjz cimzout jzvf jv wzt lwn tkflzut ymv vhwv nwxu jxwou lu fmknuidun nuu jz wii kjdukn wzt fbuwzn jv jn vhu jxwou fa vhu mzokwncwyiu chwzvfx fa ijau wzt vhjn jn vhu pue vf jv wii zfl lhuz j nwe vhwv j wx jz vhu hwyjv fa ofjzo vf nuw lhuzuduk j yuojz vf okfl hwge\n",
      "Iter 0 of start 2: lhsbugx ippwtmcq lsii wg tqhwsgi qpwg dgsxq scp mgvgx wtmn hpf ipmc bxgltqgid hsvtmc ituuig px mp wpmgd tm wd bzxqg smn mpuhtmc bsxutlzisx up tmugxgqu wg pm qhpxg t uhpzchu t fpzin qsti sjpzu s ituuig smn qgg uhg fsugxd bsxu pe uhg fpxin tu tq s fsd t hsvg pe nxtvtmc pee uhg qbiggm smn xgczisutmc uhg ltxlzisutpm fhgmgvgx t etmn wdqgie cxpftmc cxtw sjpzu uhg wpzuh fhgmgvgx tu tq s nswb nxtyyid mpvgwjgx tm wd qpzi fhgmgvgx t etmn wdqgie tmvpizmusxtid bszqtmc jgepxg lpeetm fsxghpzqgq smn jxtmctmc zb uhg xgsx pe gvgxd ezmgxsi t wggu smn gqbgltsiid fhgmgvgx wd hdbpq cgu qzlh sm zbbgx hsmn pe wg uhsu tu xgoztxgq s quxpmc wpxsi bxtmltbig up bxgvgmu wg expw ngitjgxsugid qugbbtmc tmup uhg quxggu smn wguhpntlsiid amplatmc bgpbig q hsuq pee uhgm t sllpzmu tu htch utwg up cgu up qgs sq qppm sq t lsm uhtq tq wd qzjqutuzug epx btqupi smn jsii ftuh s bhtipqpbhtlsi eipzxtqh lsup uhxpfq htwqgie zbpm htq qfpxn t oztguid usag up uhg qhtb uhgxg tq mpuhtmc qzxbxtqtmc tm uhtq te uhgd jzu amgf tu siwpqu sii wgm tm uhgtx ngcxgg qpwg utwg px puhgx lhgxtqh vgxd mgsxid uhg qswg eggitmcq upfsxnq uhg plgsm ftuh wg uhgxg mpf tq dpzx tmqzisx ltud pe uhg wsmhsuupgq jgiugn xpzmn jd fhsxvgq sq tmntsm tqigq jd lpxsi xggeq lpwwgxlg qzxxpzmnq tu ftuh hgx qzxe xtchu smn igeu uhg quxgguq usag dpz fsugxfsxn tuq gruxgwg npfmupfm tq uhg jsuugxd fhgxg uhsu mpjig wpig tq fsqhgn jd fsvgq smn lppign jd jxggygq fhtlh s egf hpzxq bxgvtpzq fgxg pzu pe qtchu pe ismn ippa su uhg lxpfnq pe fsugx csygxq uhgxg ltxlzwswjzisug uhg ltud pe s nxgswd qsjjsuh seugxmppm cp expw lpxigsxq hppa up lpgmutgq qitb smn expw uhgmlg jd fhtughsii mpxuhfsxn fhsu np dpz qgg bpqugn itag qtigmu qgmutmgiq sii sxpzmn uhg upfm qusmn uhpzqsmnq zbpm uhpzqsmnq pe wpxusi wgm etrgn tm plgsm xgvgxtgq qpwg igsmtmc scstmqu uhg qbtigq qpwg qgsugn zbpm uhg btgx hgsnq qpwg ippatmc pvgx uhg jzifsxaq pe qhtbq expw lhtms qpwg htch sipeu tm uhg xtcctmc sq te quxtvtmc up cgu s qutii jguugx qgsfsxn bggb jzu uhgqg sxg sii ismnqwgm pe fgga nsdq bgmu zb tm isuh smn bisqugx utgn up lpzmugxq mstign up jgmlhgq litmlhgn up ngqaq hpf uhgm tq uhtq sxg uhg cxggm etginq cpmg fhsu np uhgd hgxg jzu ippa hgxg lpwg wpxg lxpfnq bsltmc quxstchu epx uhg fsugx smn qggwtmcid jpzmn epx s ntvg quxsmcg mpuhtmc ftii lpmugmu uhgw jzu uhg gruxgwgqu itwtu pe uhg ismn iptugxtmc zmngx uhg qhsnd igg pe dpmngx fsxghpzqgq ftii mpu qzeetlg mp uhgd wzqu cgu kzqu sq mtch uhg fsugx sq uhgd bpqqtjid lsm ftuhpzu esiitmc tm smn uhgxg uhgd qusmn wtigq pe uhgw igsczgq tmismngxq sii uhgd lpwg expw ismgq smn siigdq quxgguq smn svgmzgq mpxuh gsqu qpzuh smn fgqu dgu hgxg uhgd sii zmtug ugii wg npgq uhg wscmgutl vtxuzg pe uhg mggnigq pe uhg lpwbsqqgq pe sii uhpqg qhtbq suuxslu uhgw uhtuhgx pmlg wpxg qsd dpz sxg tm uhg lpzmuxd tm qpwg htch ismn pe isagq usag siwpqu smd bsuh dpz bigsqg smn ugm up pmg tu lsxxtgq dpz npfm tm s nsig smn igsvgq dpz uhgxg jd s bppi tm uhg quxgsw uhgxg tq wsctl tm tu igu uhg wpqu sjqgmu wtmngn pe wgm jg bizmcgn tm htq nggbgqu xgvgxtgq qusmn uhsu wsm pm htq igcq qgu htq eggu s cptmc smn hg ftii tmesiitjid igsn dpz up fsugx te fsugx uhgxg jg tm sii uhsu xgctpm qhpzin dpz gvgx jg suhtxqu tm uhg cxgsu swgxtlsm ngqgxu uxd uhtq grbgxtwgmu te dpzx lsxsvsm hsbbgm up jg qzbbitgn ftuh s wgusbhdqtlsi bxpegqqpx dgq sq gvgxd pmg ampfq wgntusutpm smn fsugx sxg fgnngn epx gvgx jzu hgxg tq sm sxutqu hg ngqtxgq up bstmu dpz uhg nxgswtgqu qhsntgqu oztgugqu wpqu gmlhsmutmc jtu pe xpwsmutl ismnqlsbg tm sii uhg vsiigd pe uhg qslp fhsu tq uhg lhtge gigwgmu hg gwbipdq uhgxg qusmn htq uxggq gslh ftuh s hpiipf uxzma sq te s hgxwtu smn s lxzltetr fgxg ftuhtm smn hgxg qiggbq htq wgsnpf smn uhgxg qiggb htq lsuuig smn zb expw dpmngx lpuuscg cpgq s qiggbd qwpag nggb tmup ntqusmu fppnismnq ftmnq s wsyd fsd xgslhtmc up pvgxisbbtmc qbzxq pe wpzmustmq jsuhgn tm uhgtx htii qtng jizg jzu uhpzch uhg btluzxg itgq uhzq uxsmlgn smn uhpzch uhtq btmg uxgg qhsagq npfm tuq qtchq itag igsvgq zbpm uhtq qhgbhgxn q hgsn dgu sii fgxg vstm zmigqq uhg qhgbhgxn q gdg fgxg etrgn zbpm uhg wsctl quxgsw jgepxg htw cp vtqtu uhg bxstxtgq tm kzmg fhgm epx qlpxgq pm qlpxgq pe wtigq dpz fsng amgg nggb swpmc utcgx ititgq fhsu tq uhg pmg lhsxw fsmutmc fsugx uhgxg tq mpu s nxpb pe fsugx uhgxg fgxg mtscsxs jzu s lsusxslu pe qsmn fpzin dpz uxsvgi dpzx uhpzqsmn wtigq up qgg tu fhd ntn uhg bppx bpgu pe ugmmgqqgg zbpm qznngmid xglgtvtmc ufp hsmneziq pe qtivgx ngitjgxsug fhguhgx up jzd htw s lpsu fhtlh hg qsnid mggngn px tmvgqu htq wpmgd tm s bgngquxtsm uxtb up xplasfsd jgslh fhd tq siwpqu gvgxd xpjzqu hgsiuhd jpd ftuh s xpjzqu hgsiuhd qpzi tm htw su qpwg utwg px puhgx lxsyd up cp up qgs fhd zbpm dpzx etxqu vpdscg sq s bsqqgmcgx ntn dpz dpzxqgie eggi qzlh s wdqutlsi vtjxsutpm fhgm etxqu upin uhsu dpz smn dpzx qhtb fgxg mpf pzu pe qtchu pe ismn fhd ntn uhg pin bgxqtsmq hpin uhg qgs hpid fhd ntn uhg cxggaq ctvg tu s qgbsxsug ngtud smn pfm jxpuhgx pe kpvg qzxgid sii uhtq tq mpu ftuhpzu wgsmtmc smn qutii nggbgx uhg wgsmtmc pe uhsu qupxd pe msxltqqzq fhp jglszqg hg lpzin mpu cxsqb uhg upxwgmutmc wtin twscg hg qsf tm uhg epzmustm bizmcgn tmup tu smn fsq nxpfmgn jzu uhsu qswg twscg fg pzxqgivgq qgg tm sii xtvgxq smn plgsmq tu tq uhg twscg pe uhg zmcxsqbsjig bhsmupw pe iteg smn uhtq tq uhg agd up tu sii mpf fhgm t qsd uhsu t sw tm uhg hsjtu pe cptmc up qgs fhgmgvgx t jgctm up cxpf hsyd\n",
      "Iter 0 of start 3: ctfpekj vggnmxau cfvv nk mutnfkv ugnk ikfju fag xklkj nmxr tgo vgxa pjkcmukvi tflmxa vmeevk gj xg ngxki mx ni phjuk fxr xgetmxa pfjemchvfj eg mxekjkue nk gx utgjk m etghate m oghvr ufmv fdghe f vmeevk fxr ukk etk ofekji pfje gy etk ogjvr me mu f ofi m tflk gy rjmlmxa gyy etk upvkkx fxr jkahvfemxa etk cmjchvfemgx otkxklkj m ymxr niukvy ajgomxa ajmn fdghe etk nghet otkxklkj me mu f rfnp rjmqqvi xglkndkj mx ni ughv otkxklkj m ymxr niukvy mxlgvhxefjmvi pfhumxa dkygjk cgyymx ofjktghuku fxr djmxamxa hp etk jkfj gy klkji yhxkjfv m nkke fxr kupkcmfvvi otkxklkj ni tipgu ake uhct fx hppkj tfxr gy nk etfe me jkzhmjku f uejgxa ngjfv pjmxcmpvk eg pjklkxe nk yjgn rkvmdkjfekvi uekppmxa mxeg etk uejkke fxr nketgrmcfvvi wxgcwmxa pkgpvk u tfeu gyy etkx m fccghxe me tmat emnk eg ake eg ukf fu uggx fu m cfx etmu mu ni uhduemehek ygj pmuegv fxr dfvv omet f ptmvgugptmcfv yvghjmut cfeg etjgou tmnukvy hpgx tmu uogjr m zhmkevi efwk eg etk utmp etkjk mu xgetmxa uhjpjmumxa mx etmu my etki dhe wxko me fvngue fvv nkx mx etkmj rkajkk ugnk emnk gj getkj ctkjmut lkji xkfjvi etk ufnk ykkvmxau egofjru etk gckfx omet nk etkjk xgo mu ighj mxuhvfj cmei gy etk nfxtfeegku dkvekr jghxr di otfjlku fu mxrmfx muvku di cgjfv jkkyu cgnnkjck uhjjghxru me omet tkj uhjy jmate fxr vkye etk uejkkeu efwk igh ofekjofjr meu ksejknk rgoxegox mu etk dfeekji otkjk etfe xgdvk ngvk mu ofutkr di oflku fxr cggvkr di djkkqku otmct f yko tghju pjklmghu okjk ghe gy umate gy vfxr vggw fe etk cjgoru gy ofekj afqkju etkjk cmjchnfndhvfek etk cmei gy f rjkfni ufddfet fyekjxggx ag yjgn cgjvkfju tggw eg cgkxemku uvmp fxr yjgn etkxck di otmektfvv xgjetofjr otfe rg igh ukk pguekr vmwk umvkxe ukxemxkvu fvv fjghxr etk egox uefxr etghufxru hpgx etghufxru gy ngjefv nkx ymskr mx gckfx jklkjmku ugnk vkfxmxa fafmxue etk upmvku ugnk ukfekr hpgx etk pmkj tkfru ugnk vggwmxa glkj etk dhvofjwu gy utmpu yjgn ctmxf ugnk tmat fvgye mx etk jmaamxa fu my uejmlmxa eg ake f uemvv dkeekj ukfofjr pkkp dhe etkuk fjk fvv vfxrunkx gy okkw rfiu pkxe hp mx vfet fxr pvfuekj emkr eg cghxekju xfmvkr eg dkxctku cvmxctkr eg rkuwu tgo etkx mu etmu fjk etk ajkkx ymkvru agxk otfe rg etki tkjk dhe vggw tkjk cgnk ngjk cjgoru pfcmxa uejfmate ygj etk ofekj fxr ukknmxavi dghxr ygj f rmlk uejfxak xgetmxa omvv cgxekxe etkn dhe etk ksejknkue vmnme gy etk vfxr vgmekjmxa hxrkj etk utfri vkk gy igxrkj ofjktghuku omvv xge uhyymck xg etki nhue ake bhue fu xmat etk ofekj fu etki pguumdvi cfx ometghe yfvvmxa mx fxr etkjk etki uefxr nmvku gy etkn vkfahku mxvfxrkju fvv etki cgnk yjgn vfxku fxr fvvkiu uejkkeu fxr flkxhku xgjet kfue ughet fxr okue ike tkjk etki fvv hxmek ekvv nk rgku etk nfaxkemc lmjehk gy etk xkkrvku gy etk cgnpfuuku gy fvv etguk utmpu feejfce etkn etmetkj gxck ngjk ufi igh fjk mx etk cghxeji mx ugnk tmat vfxr gy vfwku efwk fvngue fxi pfet igh pvkfuk fxr ekx eg gxk me cfjjmku igh rgox mx f rfvk fxr vkflku igh etkjk di f pggv mx etk uejkfn etkjk mu nfamc mx me vke etk ngue fdukxe nmxrkr gy nkx dk pvhxakr mx tmu rkkpkue jklkjmku uefxr etfe nfx gx tmu vkau uke tmu ykke f agmxa fxr tk omvv mxyfvvmdvi vkfr igh eg ofekj my ofekj etkjk dk mx fvv etfe jkamgx utghvr igh klkj dk fetmjue mx etk ajkfe fnkjmcfx rkukje eji etmu kspkjmnkxe my ighj cfjflfx tfppkx eg dk uhppvmkr omet f nkefptiumcfv pjgykuugj iku fu klkji gxk wxgou nkrmefemgx fxr ofekj fjk okrrkr ygj klkj dhe tkjk mu fx fjemue tk rkumjku eg pfmxe igh etk rjkfnmkue utfrmkue zhmkekue ngue kxctfxemxa dme gy jgnfxemc vfxrucfpk mx fvv etk lfvvki gy etk ufcg otfe mu etk ctmky kvknkxe tk knpvgiu etkjk uefxr tmu ejkku kfct omet f tgvvgo ejhxw fu my f tkjnme fxr f cjhcmyms okjk ometmx fxr tkjk uvkkpu tmu nkfrgo fxr etkjk uvkkp tmu cfeevk fxr hp yjgn igxrkj cgeefak agku f uvkkpi ungwk rkkp mxeg rmuefxe oggrvfxru omxru f nfqi ofi jkfctmxa eg glkjvfppmxa uphju gy nghxefmxu dfetkr mx etkmj tmvv umrk dvhk dhe etghat etk pmcehjk vmku ethu ejfxckr fxr etghat etmu pmxk ejkk utfwku rgox meu umatu vmwk vkflku hpgx etmu utkptkjr u tkfr ike fvv okjk lfmx hxvkuu etk utkptkjr u kik okjk ymskr hpgx etk nfamc uejkfn dkygjk tmn ag lmume etk pjfmjmku mx bhxk otkx ygj ucgjku gx ucgjku gy nmvku igh ofrk wxkk rkkp fngxa emakj vmvmku otfe mu etk gxk ctfjn ofxemxa ofekj etkjk mu xge f rjgp gy ofekj etkjk okjk xmfafjf dhe f cfefjfce gy ufxr oghvr igh ejflkv ighj etghufxr nmvku eg ukk me oti rmr etk pggj pgke gy ekxxkuukk hpgx uhrrkxvi jkckmlmxa eog tfxryhvu gy umvlkj rkvmdkjfek otketkj eg dhi tmn f cgfe otmct tk ufrvi xkkrkr gj mxlkue tmu ngxki mx f pkrkuejmfx ejmp eg jgcwfofi dkfct oti mu fvngue klkji jgdhue tkfveti dgi omet f jgdhue tkfveti ughv mx tmn fe ugnk emnk gj getkj cjfqi eg ag eg ukf oti hpgx ighj ymjue lgifak fu f pfuukxakj rmr igh ighjukvy ykkv uhct f niuemcfv lmdjfemgx otkx ymjue egvr etfe igh fxr ighj utmp okjk xgo ghe gy umate gy vfxr oti rmr etk gvr pkjumfxu tgvr etk ukf tgvi oti rmr etk ajkkwu amlk me f ukpfjfek rkmei fxr gox djgetkj gy bglk uhjkvi fvv etmu mu xge ometghe nkfxmxa fxr uemvv rkkpkj etk nkfxmxa gy etfe uegji gy xfjcmuuhu otg dkcfhuk tk cghvr xge ajfup etk egjnkxemxa nmvr mnfak tk ufo mx etk yghxefmx pvhxakr mxeg me fxr ofu rjgoxkr dhe etfe ufnk mnfak ok ghjukvlku ukk mx fvv jmlkju fxr gckfxu me mu etk mnfak gy etk hxajfupfdvk ptfxegn gy vmyk fxr etmu mu etk wki eg me fvv xgo otkx m ufi etfe m fn mx etk tfdme gy agmxa eg ukf otkxklkj m dkamx eg ajgo tfqi\n",
      "Not updating anymore after iteration 28\n",
      "Iter 0 of start 1: ob sdurnbv of jddrj fe ld zudffv rqkg nqfernfok zudffv\n",
      "Iter 0 of start 2: ph ndafmhs pw qddfq wi ed oadwws fugb muwifmwpg oadwws\n",
      "Iter 0 of start 3: et jxarctk el pxxrp ls bx yaxllk rdvo cdlsrclev yaxllk\n",
      "Not updating anymore after iteration 71\n",
      "Iter 0 of start 1: lf whimsfd le chhmc ep th xiheed mugk suepmselg xiheed\n",
      "Iter 0 of start 2: zk eotgrkc zx aooga xu so dtoxxc gvjh rvxugrxzj dtoxxc\n",
      "Iter 0 of start 3: jt gswyitx ja bssyb av ls pwsaax yzoe izavyiajo pwsaax\n",
      "Not updating anymore after iteration 71\n",
      "Iter 0 of start 1: qg hkbltgr qm ckklc mx yk obkmmr lpji tpmxltmqj obkmmr\n",
      "Iter 0 of start 2: qv htysrvo qm jttsj mp lt eytmmo siua rimpsrmqu eytmmo\n",
      "Iter 0 of start 3: uk vzhjnkl up gzzjg pf ez qhzppl jbyr nbpfjnpuy qhzppl\n",
      "Not updating anymore after iteration 71\n",
      "Iter 0 of start 1: aw zqcskwy ah rqqsr hi vq ocqhhy sben kbhiskhae ocqhhy sben kll hnq hasq aw gckweq kwp rokaw ah kll pqoqwpr ocqrbskvly iw rieakl rbvhlqhaqr\n",
      "Iter 0 of start 2: wq khgmvqi wf ahhma fs uh rghffi mdby vdfsmvfwb rghffi mdby vjj fyh fwmh wq cgvqbh vqn arvwq wf vjj nhrhqna rghadmvuji sq asbwvj adufjhfwha\n",
      "Iter 0 of start 3: kl oxriwlq kc yxxiy ct gx erxccq izbj wzctiwckb erxccq izbj wmm cjx ckix kl drwlbx wlp yewkl kc wmm pxexlpy erxyziwgmq tl ytbkwm yzgcmxckxy\n",
      "Not updating anymore after iteration 54\n",
      "Iter 0 of start 1: ca mtkzdaj cb ottzo bu st lktbbj zphr dpbuzdbch lktbbj zphr dxx brt bczt ca ikdaht dag oldca cb dxx gtltago lktopzdsxj ua ouhcdx opsbxtbcto\n",
      "Iter 0 of start 2: ud nmctjdv uw immti wl hm ocmwwv tqga jqwltjwug ocmwwv tqga jyy wam wutm ud zcjdgm jdx iojud uw jyy xmomdxi ocmiqtjhyv ld ilgujy iqhwymwumi\n",
      "Iter 0 of start 3: ry ljifayb rk hjjfh kw vj tijkkb fdxp adkwfakrx tijkkb fdxp amm kpj krfj ry giayxj ayn htary rk amm njtjynh tijhdfavmb wy hwxram hdvkmjkrjh\n",
      "Not updating anymore after iteration 54\n",
      "Iter 0 of start 1: je wdmzceu jn lddzl ni vd pmdnnu zxhr cxnizcnjh pmdnnu zxhr ckk nrd njzd je smcehd ceb lpcje jn ckk bdpdebl pmdlxzcvku ie lihjck lxvnkdnjdl\n",
      "Iter 0 of start 2: pt flxhwtu pv allha vk dl sxlvvu hrcz wrvkhwvpc sxlvvu hrcz wmm vzl vphl pt bxwtcl wti aswpt pv wmm ilsltia sxlarhwdmu kt akcpwm ardvmlvpla\n",
      "Iter 0 of start 3: ld uofzadn lv roozr vq eo sfovvn zbpw abvqzavlp sfovvn zbpw ahh vwo vlzo ld xfadpo ady rsald lv ahh yosodyr sforbzaehn qd rqplah rbevhovlor\n",
      "Not updating anymore after iteration 54\n",
      "Iter 0 of start 1: pk ysugoke pd cssgc dx bs iusdde gtvf otdxgodpv iusdde gtvf ojj dfs dpgs pk luokvs okw ciopk pd ojj wsiskwc iusctgobje xk cxvpoj ctbdjsdpsc dfod ext fohs dx bs luskvf xu ciokpcf dx tkwsucdokw pk pdoje nfe nxtjw ext shsk bxdfsu nfsk okw fxn gtvf dx dpi pc o\n",
      "Iter 0 of start 2: un isamkny uq wssmw qo ls easqqy mhjc khqomkquj easqqy mhjc kxx qcs qums un paknjs kng wekun uq kxx gsesngw easwhmklxy on wojukx whlqxsqusw qckq yoh ckzs qo ls pasnjc oa weknuwc qo hngsawqkng un uqkxy vcy vohxg yoh szsn loqcsa vcsn kng cov mhjc qo que uw k\n",
      "Iter 0 of start 3: bx jsfzuxk bh osszo hg rs mfshhk zily uihgzuhbl mfshhk zily uee hys hbzs bx cfuxls uxd omubx bh uee dsmsxdo mfsoizurek gx oglbue oirheshbso hyuh kgi yuts hg rs cfsxly gf omuxboy hg ixdsfohuxd bx bhuek qyk qgied kgi stsx rghysf qysx uxd ygq zily hg hbm bo u\n",
      "Iter 0 of start 1: nu hertdub nk zeetz ki me grekkb tqfj dqkitdknf grekkb tqfj dvv kje knte nu lrdufe dus zgdnu nk dvv segeusz grezqtdmvb iu zifndv zqmkveknez kjdk biq jdye ki me lreufj ir zgdunzj ki quserzkdus nu nkdvb cjb ciqvs biq eyeu mikjer cjeu dus jic tqfj ki kng nz d\n",
      "Iter 0 of start 2: lv wzjorvy lt qzzoq te sz gjztty ouin ruteortli gjztty ouin rxx tnz tloz lv kjrviz rvm qgrlv lt rxx mzgzvmq gjzquorsxy ev qeilrx qustxztlzq tnrt yeu nrbz te sz kjzvin ej qgrvlqn te uvmzjqtrvm lv ltrxy any aeuxm yeu zbzv setnzj anzv rvm nea ouin te tlg lq r\n",
      "Iter 0 of start 3: ta mzgdeas tr vzzdv rw oz pgzrrs dbhy ebrwderth pgzrrs dbhy enn ryz rtdz ta igeahz eax vpeta tr enn xzpzaxv pgzvbdeons wa vwhten vbornzrtzv ryer swb yelz rw oz igzahy wg vpeatvy rw baxzgvreax ta trens fys fwbnx swb zlza owryzg fyza eax ywf dbhy rw rtp tv e\n",
      "Iter 0 of start 1: ec umdifct ep rmmir pz nm wdmppt iykb fypzifpek wdmppt iykb fss pbm peim ec ldfckm fch rwfec ep fss hmwmchr wdmryifnst zc rzkefs rynpsmpemr pbfp tzy bfjm pz nm ldmckb zd rwfcerb pz ychmdrpfch ec epfst vbt vzysh tzy mjmc nzpbmd vbmc fch bzv iykb pz pew er f\n",
      "Iter 0 of start 2: xt secowtf xa geeog av re iceaaf okzd wkavowaxz iceaaf okzd wqq ade axoe xt ncwtze wtl giwxt xa wqq leietlg icegkowrqf vt gvzxwq gkraqeaxeg adwa fvk dwue av re ncetzd vc giwtxgd av ktlecgawtl xt xawqf ydf yvkql fvk euet rvadec ydet wtl dvy okzd av axi xg w\n",
      "Iter 0 of start 3: pn ugarink pc sggrs cf xg vagcck rlzo ilcfricpz vagcck rlzo ihh cog cprg pn dainzg inm svipn pc ihh mgvgnms vagslrixhk fn sfzpih slxchgcpgs coic kfl oitg cf xg dagnzo fa svinpso cf lnmgascinm pn pcihk yok yflhm kfl gtgn xfcoga yogn inm ofy rlzo cf cpv ps i\n",
      "Iter 0 of start 1: pk adwmckr pb uddmu bo nd ewdbbr mqfg cqbomcbpf ewdbbr mqfg cvv bgd bpmd pk zwckfd ckl uecpk pb cvv ldedklu ewduqmcnvr ok uofpcv uqnbvdbpdu bgcb roq gchd bo nd zwdkfg ow ueckpug bo qkldwubckl pk pbcvr xgr xoqvl roq dhdk nobgdw xgdk ckl gox mqfg bo bpe pu c tqdubpok bgcb gcu nddk hdspka hpupbowu bo dqwoed zow cu voka cu edoevd gchd nddk bwchdvvpka cwoqkl bgd fokbpkdkb oqbupld bgdpw oxk foqkbwr pb uddmu dhdk dqwoedcku lok b ikox bgd ckuxdw cffowlpka bo kdx eovvpka nr roqaoh pk ups dq foqkbwpdu nwpbcpk ckl bgd qu xgdwd cu moub hpupbowu\n",
      "Iter 0 of start 2: fu epnxguv fw cppxc wr tp qnpwwv xlhb glwrxgwfh qnpwwv xlhb gjj wbp wfxp fu dnguhp gua cqgfu fw gjj apqpuac qnpclxgtjv ru crhfgj cltwjpwfpc wbgw vrl bgsp wr tp dnpuhb rn cqgufcb wr luapncwgua fu fwgjv kbv krlja vrl pspu trwbpn kbpu gua brk xlhb wr wfq fc g ylpcwfru wbgw bgc tppu spmfue sfcfwrnc wr plnrqp drn gc jrue gc qprqjp bgsp tppu wngspjjfue gnrlua wbp hruwfupuw rlwcfap wbpfn rku hrluwnv fw cppxc pspu plnrqpguc aru w zurk wbp guckpn ghhrnafue wr upk qrjjfue tv vrlers fu cfm pl hrluwnfpc tnfwgfu gua wbp lc kbpnp gc xrcw sfcfwrnc\n",
      "Iter 0 of start 3: hi fngotib hw ynnoy wp un mgnwwb ovjr tvwpotwhj mgnwwb ovjr tkk wrn whon hi egtijn tiz ymthi hw tkk znmnizy mgnyvotukb pi ypjhtk yvuwknwhny wrtw bpv rtsn wp un egnijr pg ymtihyr wp vizngywtiz hi hwtkb lrb lpvkz bpv nsni upwrng lrni tiz rpl ovjr wp whm hy t avnywhpi wrtw rty unni sndhif shyhwpgy wp nvgpmn epg ty kpif ty mnpmkn rtsn unni wgtsnkkhif tgpviz wrn jpiwhiniw pvwyhzn wrnhg pli jpviwgb hw ynnoy nsni nvgpmntiy zpi w xipl wrn tiylng tjjpgzhif wp inl mpkkhif ub bpvfps hi yhd nv jpviwghny ughwthi tiz wrn vy lrngn ty opyw shyhwpgy\n",
      "Not updating anymore after iteration 25\n",
      "Iter 0 of start 1: hn rexjkno ht veejv ts ye cxetto jdpz kdtsjkthp cxetto jdpz kaa tze thje hn ixknpe knu vckhn ht kaa uecenuv cxevdjkyao sn vsphka vdytaethev tzkt osd zkle ts ye ixenpz sx vcknhvz ts dnuexvtknu hn htkao mzo msdau osd elen ystzex mzen knu zsm jdpz ts thc hv k bdevthsn tzkt zkv yeen lefhnr lhvhtsxv ts edxsce isx kv asnr kv cescae zkle yeen txkleaahnr kxsdnu tze psnthnent sdtvhue tzehx smn psdntxo ht veejv elen edxsceknv usn t wnsm tze knvmex kppsxuhnr ts nem csaahnr yo osdrsl hn vhf ed psdntxhev yxhtkhn knu tze dv mzexe kv jsvt lhvhtsxv\n",
      "Iter 0 of start 2: lp ocwhspu lm accha mt vc bwcmmu hreq srmthsmle bwcmmu hreq snn mqc mlhc lp xwspec spz abslp lm snn zcbcpza bwcarhsvnu tp atelsn arvmncmlca mqsm utr qsfc mt vc xwcpeq tw absplaq mt rpzcwamspz lp lmsnu gqu gtrnz utr cfcp vtmqcw gqcp spz qtg hreq mt mlb la s krcamltp mqsm qsa vccp fcylpo flalmtwa mt crwtbc xtw sa ntpo sa bctbnc qsfc vccp mwsfcnnlpo swtrpz mqc etpmlpcpm trmalzc mqclw tgp etrpmwu lm accha cfcp crwtbcspa ztp m iptg mqc spagcw seetwzlpo mt pcg btnnlpo vu utrotf lp aly cr etrpmwlca vwlmslp spz mqc ra gqcwc sa htam flalmtwa\n",
      "Iter 0 of start 3: nz qoyjwzb nr toojt rh xo uyorrb jvgl wvrhjwrng uyorrb jvgl wii rlo rnjo nz mywzgo wza tuwnz nr wii aouozat uyotvjwxib hz thgnwi tvxriornot rlwr bhv lwpo rh xo myozgl hy tuwzntl rh vzaoytrwza nz nrwib slb shvia bhv opoz xhrloy sloz wza lhs jvgl rh rnu nt w cvotrnhz rlwr lwt xooz pofnzq pntnrhyt rh ovyhuo mhy wt ihzq wt uohuio lwpo xooz rywpoiinzq wyhvza rlo ghzrnzozr hvrtnao rlony hsz ghvzryb nr toojt opoz ovyhuowzt ahz r kzhs rlo wztsoy wgghyanzq rh zos uhiinzq xb bhvqhp nz tnf ov ghvzrynot xynrwnz wza rlo vt sloyo wt jhtr pntnrhyt\n",
      "Not updating anymore after iteration 25\n",
      "Iter 0 of start 1: am bdyvgmu ah eddve hr ld kydhhu vzco gzhrvghac kydhhu vzco gff hod havd am xygmcd gmn ekgam ah gff ndkdmne kydezvglfu rm ercagf ezlhfdhade hogh urz ogjd hr ld xydmco ry ekgmaeo hr zmndyehgmn am ahgfu wou wrzfn urz djdm lrhody wodm gmn orw vzco hr hak ae g pzdeharm hogh oge lddm jdsamb jaeahrye hr dzyrkd xry ge frmb ge kdrkfd ogjd lddm hygjdffamb gyrzmn hod crmhamdmh rzheand hoday rwm crzmhyu ah eddve djdm dzyrkdgme nrm h tmrw hod gmewdy gccrynamb hr mdw krffamb lu urzbrj am eas dz crzmhyade lyahgam gmn hod ze wodyd ge vreh jaeahrye\n",
      "Iter 0 of start 2: je azdgveu jo czzgc ow lz ydzoou gpis vpowgvoji ydzoou gpis vrr osz ojgz je mdveiz veb cyvje jo vrr bzyzebc ydzcpgvlru we cwijvr cplorzojzc osvo uwp svnz ow lz mdzeis wd cyvejcs ow pebzdcoveb je jovru fsu fwprb uwp znze lwoszd fsze veb swf gpis ow ojy jc v kpzcojwe osvo svc lzze nztjea njcjowdc ow zpdwyz mwd vc rwea vc yzwyrz svnz lzze odvnzrrjea vdwpeb osz iweojezeo wpocjbz oszjd wfe iwpeodu jo czzgc znze zpdwyzvec bwe o xewf osz vecfzd viiwdbjea ow ezf ywrrjea lu uwpawn je cjt zp iwpeodjzc ldjovje veb osz pc fszdz vc gwco njcjowdc\n",
      "Iter 0 of start 3: fl gnjreli fv tnnrt vm pn ujnvvi rkcx ekvmrevfc ujnvvi rkcx eaa vxn vfrn fl sjelcn ely tuefl fv eaa ynunlyt ujntkrepai ml tmcfea tkpvanvfnt vxev imk xehn vm pn sjnlcx mj tuelftx vm klynjtvely fl fveai dxi dmkay imk nhnl pmvxnj dxnl ely xmd rkcx vm vfu ft e qkntvfml vxev xet pnnl hnzflg hftfvmjt vm nkjmun smj et amlg et unmuan xehn pnnl vjehnaaflg ejmkly vxn cmlvflnlv mkvtfyn vxnfj mdl cmklvji fv tnnrt nhnl nkjmunelt yml v wlmd vxn eltdnj eccmjyflg vm lnd umaaflg pi imkgmh fl tfz nk cmklvjfnt pjfvefl ely vxn kt dxnjn et rmtv hftfvmjt\n",
      "Not updating anymore after iteration 25\n",
      "Iter 0 of start 1: mx gerwfxl mh veewv hp ie trehhl wkco fkhpwfhmc trehhl wkco fdd hoe hmwe mx srfxce fxz vtfmx mh fdd zetexzv trevkwfidl px vpcmfd vkihdehmev hofh lpk ofne hp ie srexco pr vtfxmvo hp kxzervhfxz mx mhfdl qol qpkdz lpk enex iphoer qoex fxz opq wkco hp hmt mv f ukevhmpx hofh ofv ieex neymxg nmvmhprv hp ekrpte spr fv dpxg fv teptde ofne ieex hrfneddmxg frpkxz hoe cpxhmxexh pkhvmze hoemr pqx cpkxhrl mh veewv enex ekrptefxv zpx h jxpq hoe fxvqer fccprzmxg hp xeq tpddmxg il lpkgpn mx vmy ek cpkxhrmev irmhfmx fxz hoe kv qoere fv wpvh nmvmhprv jxpq ikh wfl ie redkchfxh hp fcjxpqdezge grfhkmhmev wfl wfje kt wpre hofx ofds lpkr qfmhtervpx v mxcpwe ekrptefxv fre zeetdl zmnmzez px hmttmxg mx revhfkrfxhv spr eyfwtde ps revtpxzexhv mx gerwfxl hpdz hoe tpddvher hoel hltmcfddl hmttez fdwpvh hoe vfwe fv hoe kv mx hoe kj qoere fx pthmpxfd vernmce cofrge ps fipkh mv kvkfddl mxcdkzez vfmz hoel desh f grfhkmhl hoe smgkre mx vtfmx qoere vernmce mv pshex mxcdkzez mx revhfkrfxh imddv ikh zmxerv cfx defne pthmpxfd hmtv qfv qomde mx srfxce qoere enerl trmce px f revhfkrfxh wexk fdrefzl mxcdkzev spr vernmce ps teptde vfmz hoel gexerfddl hmttez px hpt enex mx vqezex qoere hmtv fre gexerfddl xph eytechez hoe smgkre qfv ikh pxdl ps mhfdmfxv vfmz hoel qpkdz hltmcfddl defne f grfhkmhl fsher f wefd pkh qmho f rfhoer grefher trptprhmpx fzwmhhmxg hoel xener desh f cexh f vhfrhdmxg ps revtpxzexhv mx hoe kv opqener fxz\n",
      "Iter 0 of start 2: cb eagsvbt cj maasm jz xa ngajjt sdik vdjzsvjci ngajjt sdik vuu jka jcsa cb ygvbia vbq mnvcb cj vuu qanabqm ngamdsvxut zb mzicvu mdxjuajcam jkvj tzd kvha jz xa ygabik zg mnvbcmk jz dbqagmjvbq cb cjvut okt ozduq tzd ahab xzjkag okab vbq kzo sdik jz jcn cm v pdamjczb jkvj kvm xaab hafcbe hcmcjzgm jz adgzna yzg vm uzbe vm naznua kvha xaab jgvhauucbe vgzdbq jka izbjcbabj zdjmcqa jkacg zob izdbjgt cj maasm ahab adgznavbm qzb j lbzo jka vbmoag viizgqcbe jz bao nzuucbe xt tzdezh cb mcf ad izdbjgcam xgcjvcb vbq jka dm okaga vm szmj hcmcjzgm lbzo xdj svt xa gaudijvbj jz vilbzouaqea egvjdcjcam svt svla dn szga jkvb kvuy tzdg ovcjnagmzb m cbizsa adgznavbm vga qaanut qchcqaq zb jcnncbe cb gamjvdgvbjm yzg afvsnua zy gamnzbqabjm cb eagsvbt jzuq jka nzuumjag jkat jtncivuut jcnnaq vuszmj jka mvsa vm jka dm cb jka dl okaga vb znjczbvu maghcia ikvgea zy vxzdj cm dmdvuut cbiudqaq mvcq jkat uayj v egvjdcjt jka ycedga cb mnvcb okaga maghcia cm zyjab cbiudqaq cb gamjvdgvbj xcuum xdj qcbagm ivb uavha znjczbvu jcnm ovm okcua cb ygvbia okaga ahagt ngcia zb v gamjvdgvbj sabd vugavqt cbiudqam yzg maghcia zy naznua mvcq jkat eabagvuut jcnnaq zb jzn ahab cb moaqab okaga jcnm vga eabagvuut bzj afnaijaq jka ycedga ovm xdj zbut zy cjvucvbm mvcq jkat ozduq jtncivuut uavha v egvjdcjt vyjag v savu zdj ocjk v gvjkag egavjag ngznzgjczb vqscjjcbe jkat bahag uayj v iabj v mjvgjucbe zy gamnzbqabjm cb jka dm kzoahag vbq\n",
      "Iter 0 of start 3: re iqltoev rj kqqtk jn xq mlqjjv tbwd objntojrw mlqjjv tbwd ouu jdq jrtq re cloewq oez kmore rj ouu zqmqezk mlqkbtoxuv ne knwrou kbxjuqjrqk jdoj vnb dofq jn xq clqewd nl kmoerkd jn bezqlkjoez re rjouv adv anbuz vnb qfqe xnjdql adqe oez dna tbwd jn jrm rk o pbqkjrne jdoj dok xqqe fqgrei frkrjnlk jn qblnmq cnl ok unei ok mqnmuq dofq xqqe jlofquurei olnbez jdq wnejreqej nbjkrzq jdqrl nae wnbejlv rj kqqtk qfqe qblnmqoek zne j yena jdq oekaql owwnlzrei jn eqa mnuurei xv vnbinf re krg qb wnbejlrqk xlrjore oez jdq bk adqlq ok tnkj frkrjnlk yena xbj tov xq lqubwjoej jn owyenauqziq ilojbrjrqk tov toyq bm tnlq jdoe douc vnbl aorjmqlkne k rewntq qblnmqoek olq zqqmuv zrfrzqz ne jrmmrei re lqkjobloejk cnl qgotmuq nc lqkmnezqejk re iqltoev jnuz jdq mnuukjql jdqv jvmrwouuv jrmmqz outnkj jdq kotq ok jdq bk re jdq by adqlq oe nmjrneou kqlfrwq wdoliq nc oxnbj rk bkbouuv rewubzqz korz jdqv uqcj o ilojbrjv jdq criblq re kmore adqlq kqlfrwq rk ncjqe rewubzqz re lqkjobloej xruuk xbj zreqlk woe uqofq nmjrneou jrmk aok adruq re cloewq adqlq qfqlv mlrwq ne o lqkjobloej tqeb oulqozv rewubzqk cnl kqlfrwq nc mqnmuq korz jdqv iqeqlouuv jrmmqz ne jnm qfqe re kaqzqe adqlq jrmk olq iqeqlouuv enj qgmqwjqz jdq criblq aok xbj neuv nc rjouroek korz jdqv anbuz jvmrwouuv uqofq o ilojbrjv ocjql o tqou nbj arjd o lojdql ilqojql mlnmnljrne oztrjjrei jdqv eqfql uqcj o wqej o kjoljurei nc lqkmnezqejk re jdq bk dnaqfql oez\n",
      "Not updating anymore after iteration 27\n",
      "Iter 0 of start 1: ta ifyswav tu dffsd uo qf pyfuuv sjkg wjuoswutk pyfuuv sjkg wbb ugf utsf ta nywakf war dpwta tu wbb rfpfard pyfdjswqbv oa doktwb djqubfutfd ugwu voj gwcf uo qf nyfakg oy dpwatdg uo jarfyduwar ta tuwbv xgv xojbr voj fcfa qougfy xgfa war gox sjkg uo utp td w mjfdutoa ugwu gwd qffa cfztai ctdtuoyd uo fjyopf noy wd boai wd pfopbf gwcf qffa uywcfbbtai wyojar ugf koautafau ojudtrf ugfty oxa kojauyv tu dffsd fcfa fjyopfwad roa u laox ugf wadxfy wkkoyrtai uo afx pobbtai qv vojioc ta dtz fj kojauytfd qytuwta war ugf jd xgfyf wd sodu ctdtuoyd laox qju swv qf yfbjkuwau uo wklaoxbfrif iywujtutfd swv swlf jp soyf ugwa gwbn vojy xwtupfydoa d takosf fjyopfwad wyf rffpbv rtctrfr oa utpptai ta yfduwjywaud noy fzwspbf on yfdpoarfaud ta ifyswav uobr ugf pobbdufy ugfv uvptkwbbv utppfr wbsodu ugf dwsf wd ugf jd ta ugf jl xgfyf wa oputoawb dfyctkf kgwyif on wqoju td jdjwbbv takbjrfr dwtr ugfv bfnu w iywujtuv ugf ntijyf ta dpwta xgfyf dfyctkf td onufa takbjrfr ta yfduwjywau qtbbd qju rtafyd kwa bfwcf oputoawb utpd xwd xgtbf ta nywakf xgfyf fcfyv pytkf oa w yfduwjywau sfaj wbyfwrv takbjrfd noy dfyctkf on pfopbf dwtr ugfv ifafywbbv utppfr oa uop fcfa ta dxfrfa xgfyf utpd wyf ifafywbbv aou fzpfkufr ugf ntijyf xwd qju oabv on tuwbtwad dwtr ugfv xojbr uvptkwbbv bfwcf w iywujtuv wnufy w sfwb oju xtug w ywugfy iyfwufy pyopoyutoa wrstuutai ugfv afcfy bfnu w kfau w duwyubtai on yfdpoarfaud ta ugf jd goxfcfy war\n",
      "Iter 0 of start 2: jo plvysob jg tllyt gz el wvlggb yacf sagzysgjc wvlggb yacf smm gfl gjyl jo ivsocl sod twsjo jg smm dlwlodt wvltaysemb zo tzcjsm taegmlgjlt gfsg bza fsql gz el ivlocf zv twsojtf gz aodlvtgsod jo jgsmb hfb hzamd bza lqlo ezgflv hflo sod fzh yacf gz gjw jt s naltgjzo gfsg fst ello qlrjop qjtjgzvt gz lavzwl izv st mzop st wlzwml fsql ello gvsqlmmjop svzaod gfl czogjolog zagtjdl gfljv zho czaogvb jg tllyt lqlo lavzwlsot dzo g kozh gfl sothlv scczvdjop gz olh wzmmjop eb bzapzq jo tjr la czaogvjlt evjgsjo sod gfl at hflvl st yztg qjtjgzvt kozh eag ysb el vlmacgsog gz sckozhmldpl pvsgajgjlt ysb yskl aw yzvl gfso fsmi bzav hsjgwlvtzo t joczyl lavzwlsot svl dllwmb djqjdld zo gjwwjop jo vltgsavsogt izv lrsywml zi vltwzodlogt jo plvysob gzmd gfl wzmmtglv gflb gbwjcsmmb gjwwld smyztg gfl tsyl st gfl at jo gfl ak hflvl so zwgjzosm tlvqjcl cfsvpl zi sezag jt atasmmb jocmadld tsjd gflb mlig s pvsgajgb gfl ijpavl jo twsjo hflvl tlvqjcl jt ziglo jocmadld jo vltgsavsog ejmmt eag djolvt cso mlsql zwgjzosm gjwt hst hfjml jo ivsocl hflvl lqlvb wvjcl zo s vltgsavsog yloa smvlsdb jocmadlt izv tlvqjcl zi wlzwml tsjd gflb plolvsmmb gjwwld zo gzw lqlo jo thldlo hflvl gjwt svl plolvsmmb ozg lrwlcgld gfl ijpavl hst eag zomb zi jgsmjsot tsjd gflb hzamd gbwjcsmmb mlsql s pvsgajgb siglv s ylsm zag hjgf s vsgflv pvlsglv wvzwzvgjzo sdyjggjop gflb olqlv mlig s clog s tgsvgmjop zi vltwzodlogt jo gfl at fzhlqlv sod\n",
      "Iter 0 of start 3: am iyoqrmk ax cyyqc xs py uoyxxk qdbw rdxsqrxab uoyxxk qdbw rtt xwy xaqy am vormby rml curam ax rtt lyuymlc uoycdqrptk sm csbart cdpxtyxayc xwrx ksd wrzy xs py voymbw so curmacw xs dmlyocxrml am axrtk jwk jsdtl ksd yzym psxwyo jwym rml wsj qdbw xs xau ac r edycxasm xwrx wrc pyym zyhami zacaxsoc xs ydosuy vso rc tsmi rc uysuty wrzy pyym xorzyttami rosdml xwy bsmxamymx sdxcaly xwyao sjm bsdmxok ax cyyqc yzym ydosuyrmc lsm x nmsj xwy rmcjyo rbbsolami xs myj usttami pk ksdisz am cah yd bsdmxoayc poaxram rml xwy dc jwyoy rc qscx zacaxsoc nmsj pdx qrk py oytdbxrmx xs rbnmsjtyliy iorxdaxayc qrk qrny du qsoy xwrm wrtv ksdo jraxuyocsm c ambsqy ydosuyrmc roy lyyutk lazalyl sm xauuami am oycxrdormxc vso yhrquty sv oycusmlymxc am iyoqrmk xstl xwy usttcxyo xwyk xkuabrttk xauuyl rtqscx xwy crqy rc xwy dc am xwy dn jwyoy rm suxasmrt cyozaby bwroiy sv rpsdx ac dcdrttk ambtdlyl cral xwyk tyvx r iorxdaxk xwy vaidoy am curam jwyoy cyozaby ac svxym ambtdlyl am oycxrdormx pattc pdx lamyoc brm tyrzy suxasmrt xauc jrc jwaty am vormby jwyoy yzyok uoaby sm r oycxrdormx qymd rtoyrlk ambtdlyc vso cyozaby sv uysuty cral xwyk iymyorttk xauuyl sm xsu yzym am cjylym jwyoy xauc roy iymyorttk msx yhuybxyl xwy vaidoy jrc pdx smtk sv axrtarmc cral xwyk jsdtl xkuabrttk tyrzy r iorxdaxk rvxyo r qyrt sdx jaxw r orxwyo ioyrxyo uosusoxasm rlqaxxami xwyk myzyo tyvx r bymx r cxroxtami sv oycusmlymxc am xwy dc wsjyzyo rml\n",
      "Not updating anymore after iteration 27\n",
      "Iter 0 of start 1: wr skvxnru wp akkxa py hk evkppu xbdq nbpyxnpwd evkppu xbdq nii pqk pwxk wr lvnrdk nrm aenwr wp nii mkekrma evkabxnhiu yr aydwni abhpikpwka pqnp uyb qngk py hk lvkrdq yv aenrwaq py brmkvapnrm wr wpniu fqu fybim uyb kgkr hypqkv fqkr nrm qyf xbdq py pwe wa n jbkapwyr pqnp qna hkkr gkzwrs gwawpyva py kbvyek lyv na iyrs na ekyeik qngk hkkr pvngkiiwrs nvybrm pqk dyrpwrkrp ybpawmk pqkwv yfr dybrpvu wp akkxa kgkr kbvyeknra myr p cryf pqk nrafkv nddyvmwrs py rkf eyiiwrs hu uybsyg wr awz kb dybrpvwka hvwpnwr nrm pqk ba fqkvk na xyap gwawpyva cryf hbp xnu hk vkibdpnrp py ndcryfikmsk svnpbwpwka xnu xnck be xyvk pqnr qnil uybv fnwpekvayr a wrdyxk kbvyeknra nvk mkkeiu mwgwmkm yr pweewrs wr vkapnbvnrpa lyv kznxeik yl vkaeyrmkrpa wr skvxnru pyim pqk eyiiapkv pqku puewdniiu pweekm nixyap pqk anxk na pqk ba wr pqk bc fqkvk nr yepwyrni akvgwdk dqnvsk yl nhybp wa babniiu wrdibmkm anwm pqku iklp n svnpbwpu pqk lwsbvk wr aenwr fqkvk akvgwdk wa ylpkr wrdibmkm wr vkapnbvnrp hwiia hbp mwrkva dnr ikngk yepwyrni pwea fna fqwik wr lvnrdk fqkvk kgkvu evwdk yr n vkapnbvnrp xkrb nivknmu wrdibmka lyv akvgwdk yl ekyeik anwm pqku skrkvniiu pweekm yr pye kgkr wr afkmkr fqkvk pwea nvk skrkvniiu ryp kzekdpkm pqk lwsbvk fna hbp yriu yl wpniwnra anwm pqku fybim puewdniiu ikngk n svnpbwpu nlpkv n xkni ybp fwpq n vnpqkv svknpkv evyeyvpwyr nmxwppwrs pqku rkgkv iklp n dkrp n apnvpiwrs yl vkaeyrmkrpa wr pqk ba qyfkgkv nrm\n",
      "Iter 0 of start 2: sl cnboelz st fnnof tx gn abnttz omhj emtxoetsh abnttz omhj eww tjn tson sl kbelhn eli faesl st eww inanlif abnfmoegwz xl fxhsew fmgtwntsnf tjet zxm jepn tx gn kbnlhj xb faelsfj tx mlinbfteli sl stewz yjz yxmwi zxm npnl gxtjnb yjnl eli jxy omhj tx tsa sf e qmnftsxl tjet jef gnnl pnrslc psfstxbf tx nmbxan kxb ef wxlc ef anxawn jepn gnnl tbepnwwslc ebxmli tjn hxltslnlt xmtfsin tjnsb xyl hxmltbz st fnnof npnl nmbxanelf ixl t vlxy tjn elfynb ehhxbislc tx lny axwwslc gz zxmcxp sl fsr nm hxmltbsnf gbstesl eli tjn mf yjnbn ef oxft psfstxbf vlxy gmt oez gn bnwmhtelt tx ehvlxywnicn cbetmstsnf oez oevn ma oxbn tjel jewk zxmb yestanbfxl f slhxon nmbxanelf ebn innawz ispsini xl tsaaslc sl bnftembeltf kxb nreoawn xk bnfaxlinltf sl cnboelz txwi tjn axwwftnb tjnz tzashewwz tsaani ewoxft tjn feon ef tjn mf sl tjn mv yjnbn el xatsxlew fnbpshn hjebcn xk egxmt sf mfmewwz slhwmini fesi tjnz wnkt e cbetmstz tjn kscmbn sl faesl yjnbn fnbpshn sf xktnl slhwmini sl bnftembelt gswwf gmt islnbf hel wnepn xatsxlew tsaf yef yjswn sl kbelhn yjnbn npnbz abshn xl e bnftembelt onlm ewbneiz slhwminf kxb fnbpshn xk anxawn fesi tjnz cnlnbewwz tsaani xl txa npnl sl fyninl yjnbn tsaf ebn cnlnbewwz lxt nranhtni tjn kscmbn yef gmt xlwz xk stewself fesi tjnz yxmwi tzashewwz wnepn e cbetmstz ektnb e onew xmt ystj e betjnb cbnetnb abxaxbtsxl eiosttslc tjnz lnpnb wnkt e hnlt e ftebtwslc xk bnfaxlinltf sl tjn mf jxynpnb eli\n",
      "Iter 0 of start 3: bi cvnhwij bd ovvho dm pv rnvddj hfyg wfdmhwdby rnvddj hfyg wll dgv dbhv bi znwiyv wix orwbi bd wll xvrvixo rnvofhwplj mi omybwl ofpdlvdbvo dgwd jmf gwsv dm pv znviyg mn orwibog dm fixvnodwix bi bdwlj egj emflx jmf vsvi pmdgvn egvi wix gme hfyg dm dbr bo w tfvodbmi dgwd gwo pvvi svkbic sbobdmno dm vfnmrv zmn wo lmic wo rvmrlv gwsv pvvi dnwsvllbic wnmfix dgv ymidbivid mfdobxv dgvbn mei ymfidnj bd ovvho vsvi vfnmrvwio xmi d aime dgv wioevn wyymnxbic dm ive rmllbic pj jmfcms bi obk vf ymfidnbvo pnbdwbi wix dgv fo egvnv wo hmod sbobdmno aime pfd hwj pv nvlfydwid dm wyaimelvxcv cnwdfbdbvo hwj hwav fr hmnv dgwi gwlz jmfn ewbdrvnomi o biymhv vfnmrvwio wnv xvvrlj xbsbxvx mi dbrrbic bi nvodwfnwido zmn vkwhrlv mz nvormixvido bi cvnhwij dmlx dgv rmllodvn dgvj djrbywllj dbrrvx wlhmod dgv owhv wo dgv fo bi dgv fa egvnv wi mrdbmiwl ovnsbyv ygwncv mz wpmfd bo fofwllj biylfxvx owbx dgvj lvzd w cnwdfbdj dgv zbcfnv bi orwbi egvnv ovnsbyv bo mzdvi biylfxvx bi nvodwfnwid pbllo pfd xbivno ywi lvwsv mrdbmiwl dbro ewo egblv bi znwiyv egvnv vsvnj rnbyv mi w nvodwfnwid hvif wlnvwxj biylfxvo zmn ovnsbyv mz rvmrlv owbx dgvj cvivnwllj dbrrvx mi dmr vsvi bi oevxvi egvnv dbro wnv cvivnwllj imd vkrvydvx dgv zbcfnv ewo pfd milj mz bdwlbwio owbx dgvj emflx djrbywllj lvwsv w cnwdfbdj wzdvn w hvwl mfd ebdg w nwdgvn cnvwdvn rnmrmndbmi wxhbddbic dgvj ivsvn lvzd w yvid w odwndlbic mz nvormixvido bi dgv fo gmevsvn wix\n",
      "Not updating anymore after iteration 27\n",
      "Iter 0 of start 1: lk wmnujkt lc gmmug cr im fnmcct uhva jhcrujclv fnmcct uhva jpp cam clum lk enjkvm jko gfjlk lc jpp omfmkog fnmghujipt rk grvljp ghicpmclmg cajc trh ajzm cr im enmkva rn gfjklga cr hkomngcjko lk lcjpt dat drhpo trh mzmk ircamn damk jko ard uhva cr clf lg j shmgclrk cajc ajg immk zmblkw zlglcrng cr mhnrfm ern jg prkw jg fmrfpm ajzm immk cnjzmpplkw jnrhko cam vrkclkmkc rhcglom camln rdk vrhkcnt lc gmmug mzmk mhnrfmjkg ork c xkrd cam jkgdmn jvvrnolkw cr kmd frpplkw it trhwrz lk glb mh vrhkcnlmg inlcjlk jko cam hg damnm jg urgc zlglcrng xkrd ihc ujt im nmphvcjkc cr jvxkrdpmowm wnjchlclmg ujt ujxm hf urnm cajk ajpe trhn djlcfmngrk g lkvrum mhnrfmjkg jnm ommfpt olzlomo rk clfflkw lk nmgcjhnjkcg ern mbjufpm re nmgfrkomkcg lk wmnujkt crpo cam frppgcmn camt ctflvjppt clffmo jpurgc cam gjum jg cam hg lk cam hx damnm jk rfclrkjp gmnzlvm vajnwm re jirhc lg hghjppt lkvphomo gjlo camt pmec j wnjchlct cam elwhnm lk gfjlk damnm gmnzlvm lg recmk lkvphomo lk nmgcjhnjkc ilppg ihc olkmng vjk pmjzm rfclrkjp clfg djg dalpm lk enjkvm damnm mzmnt fnlvm rk j nmgcjhnjkc umkh jpnmjot lkvphomg ern gmnzlvm re fmrfpm gjlo camt wmkmnjppt clffmo rk crf mzmk lk gdmomk damnm clfg jnm wmkmnjppt krc mbfmvcmo cam elwhnm djg ihc rkpt re lcjpljkg gjlo camt drhpo ctflvjppt pmjzm j wnjchlct jecmn j umjp rhc dlca j njcamn wnmjcmn fnrfrnclrk joulcclkw camt kmzmn pmec j vmkc j gcjncplkw re nmgfrkomkcg lk cam hg ardmzmn jko re wmnujkg it ejn cam urgc lk mhnrfm vrkemggmo camt drhpo clf grumclumg rn recmk mzmk le cam gmnzlvm djg cmnnlipm lkolvjclkw cajc ern grum clfflkw lg krc jirhc shjplct re gmnzlvm jc jpp cam elkolkwg re cam ghnzmt dlpp vrum jg j ghnfnlgm lk wmnujkt j vrhkcnt cajc ormg krc wmkmnjppt calkx re lcgmpe jg j kjclrk re ajfft olgcnlihcrng re cnlkxwmpo cam drno lk j glulpjn zmlk cr frhnirlnm lk enmkva umjkg onlkxlkw urkmt krn lg wmnujkt j vrhkcnt dargm gmnzlvm gcjee jnm fjnclvhpjnpt vhgcrumn enlmkopt lk imnplk j wpjgg re immn rn j fpjcm re erro lg recmk gmnzmo lk j ahee njcamn cajk dlca j gulpm krc ern krcalkw lg gmnzlvmd gcm omhcgvapjko wmnujkt lg j gmnzlvm omgmnc j calkw tmc cam ojcj nmepmvcg j vpmjn cnmko wmnujkg cmko cr ajko rzmn j emd mbcnj vrlkg lnnmgfmvclzm re ard camt ajzm immk cnmjcmo camt jnm cam kjclrk lk mhnrfm pmjgc plxmpt cr krc clf mzmk ern frrn gmnzlvm jko cam urgc dlpplkw cr fjt mbcnj ern jzmnjwm gmnzlvm j vrkclkhlkw erkokmgg ern vjga ujt im j ejvcrn dlca ujkt cjbl onlzmng jko ijng gclpp nmehglkw fjtumkc it vjno j wnrdlkw jdjnmkmgg re pjirhn garncjwmg lk cam vjcmnlkw gmvcrn vrhpo jpgr mbfpjlk j vajkwm lk jcclchom dlca ujkt ijng jko vjemg mzmk lk ilw vlclmg nmohvlkw camln rfmklkw arhng ohm cr j frgc fjkomulv pjvx re gcjee grum ijnxmmfmng gjt camln vhgcrumng ajzm nmvmkcpt imvrum urnm wmkmnrhg clffmng ihc le wmnujk clfflkw ajilcg gmmu lkwnjlkmo camt jnm\n",
      "Iter 0 of start 2: wu dohbkuz we poobp ea go choeez btms kteabkewm choeez btms knn eso ewbo wu xhkumo kur pckwu we knn rocourp choptbkgnz au pamwkn ptgenoewop eske zat skjo ea go xhoums ah pckuwps ea turohpekur wu weknz ysz yatnr zat ojou gaesoh ysou kur say btms ea ewc wp k vtopewau eske skp goou jofwud jwpweahp ea othaco xah kp naud kp coacno skjo goou ehkjonnwud khatur eso mauewuoue atepwro esowh ayu matuehz we poobp ojou othacokup rau e iuay eso kupyoh kmmahrwud ea uoy cannwud gz zatdaj wu pwf ot matuehwop ghwekwu kur eso tp ysoho kp bape jwpweahp iuay gte bkz go hontmekue ea kmiuaynordo dhketwewop bkz bkio tc baho esku sknx zath ykwecohpau p wumabo othacokup kho roocnz rwjwror au ewccwud wu hopekthkuep xah ofkbcno ax hopcaurouep wu dohbkuz eanr eso cannpeoh esoz ezcwmknnz ewccor knbape eso pkbo kp eso tp wu eso ti ysoho ku acewaukn pohjwmo mskhdo ax kgate wp tptknnz wumntror pkwr esoz noxe k dhketwez eso xwdtho wu pckwu ysoho pohjwmo wp axeou wumntror wu hopekthkue gwnnp gte rwuohp mku nokjo acewaukn ewcp ykp yswno wu xhkumo ysoho ojohz chwmo au k hopekthkue bout knhokrz wumntrop xah pohjwmo ax coacno pkwr esoz douohknnz ewccor au eac ojou wu pyorou ysoho ewcp kho douohknnz uae ofcomeor eso xwdtho ykp gte aunz ax weknwkup pkwr esoz yatnr ezcwmknnz nokjo k dhketwez kxeoh k bokn ate ywes k hkesoh dhokeoh chacahewau krbweewud esoz uojoh noxe k moue k pekhenwud ax hopcaurouep wu eso tp sayojoh kur ax dohbkup gz xkh eso bape wu othaco mauxoppor esoz yatnr ewc paboewbop ah axeou ojou wx eso pohjwmo ykp eohhwgno wurwmkewud eske xah pabo ewccwud wp uae kgate vtknwez ax pohjwmo ke knn eso xwurwudp ax eso pthjoz ywnn mabo kp k pthchwpo wu dohbkuz k matuehz eske raop uae douohknnz eswui ax weponx kp k ukewau ax skccz rwpehwgteahp ax ehwuidonr eso yahr wu k pwbwnkh jowu ea cathgawho wu xhoums bokup rhwuiwud bauoz uah wp dohbkuz k matuehz ysapo pohjwmo pekxx kho ckhewmtnkhnz mtpeaboh xhwournz wu gohnwu k dnkpp ax gooh ah k cnkeo ax xaar wp axeou pohjor wu k stxx hkesoh esku ywes k pbwno uae xah uaeswud wp pohjwmoy peo rotepmsnkur dohbkuz wp k pohjwmo ropohe k eswud zoe eso rkek hoxnomep k mnokh ehour dohbkup eour ea skur ajoh k xoy ofehk mawup whhopcomewjo ax say esoz skjo goou ehokeor esoz kho eso ukewau wu othaco nokpe nwionz ea uae ewc ojou xah caah pohjwmo kur eso bape ywnnwud ea ckz ofehk xah kjohkdo pohjwmo k mauewutwud xauruopp xah mkps bkz go k xkmeah ywes bkuz ekfw rhwjohp kur gkhp pewnn hoxtpwud ckzboue gz mkhr k dhaywud kykhouopp ax nkgath psahekdop wu eso mkeohwud pomeah matnr knpa ofcnkwu k mskudo wu keewetro ywes bkuz gkhp kur mkxop ojou wu gwd mwewop hortmwud esowh acouwud sathp rto ea k cape ckurobwm nkmi ax pekxx pabo gkhioocohp pkz esowh mtpeabohp skjo homouenz gomabo baho douohatp ewccohp gte wx dohbku ewccwud skgwep poob wudhkwuor esoz kho\n",
      "Iter 0 of start 3: ul mreznlw uj trrzt jb ir kerjjw zhqf nhjbznjuq kerjjw zhqf naa jfr juzr ul venlqr nld tknul uj naa drkrldt kerthzniaw bl tbquna thijarjurt jfnj wbh fncr jb ir verlqf be tknlutf jb hldretjnld ul ujnaw ofw obhad wbh rcrl ibjfre ofrl nld fbo zhqf jb juk ut n ghrtjubl jfnj fnt irrl crxulm cutujbet jb rhebkr vbe nt ablm nt krbkar fncr irrl jencraaulm nebhld jfr qbljulrlj bhjtudr jfrue bol qbhljew uj trrzt rcrl rhebkrnlt dbl j ylbo jfr nltore nqqbedulm jb lro kbaaulm iw wbhmbc ul tux rh qbhljeurt ieujnul nld jfr ht ofrer nt zbtj cutujbet ylbo ihj znw ir erahqjnlj jb nqylboardmr menjhujurt znw znyr hk zber jfnl fnav wbhe onujkretbl t ulqbzr rhebkrnlt ner drrkaw ducudrd bl jukkulm ul ertjnhenljt vbe rxnzkar bv ertkbldrljt ul mreznlw jbad jfr kbaatjre jfrw jwkuqnaaw jukkrd nazbtj jfr tnzr nt jfr ht ul jfr hy ofrer nl bkjublna trecuqr qfnemr bv nibhj ut hthnaaw ulqahdrd tnud jfrw arvj n menjhujw jfr vumher ul tknul ofrer trecuqr ut bvjrl ulqahdrd ul ertjnhenlj iuaat ihj dulret qnl arncr bkjublna jukt ont ofuar ul venlqr ofrer rcrew keuqr bl n ertjnhenlj zrlh naerndw ulqahdrt vbe trecuqr bv krbkar tnud jfrw mrlrenaaw jukkrd bl jbk rcrl ul tordrl ofrer jukt ner mrlrenaaw lbj rxkrqjrd jfr vumher ont ihj blaw bv ujnaunlt tnud jfrw obhad jwkuqnaaw arncr n menjhujw nvjre n zrna bhj oujf n enjfre mernjre kebkbejubl ndzujjulm jfrw lrcre arvj n qrlj n tjnejaulm bv ertkbldrljt ul jfr ht fborcre nld bv mreznlt iw vne jfr zbtj ul rhebkr qblvrttrd jfrw obhad juk tbzrjuzrt be bvjrl rcrl uv jfr trecuqr ont jreeuiar ulduqnjulm jfnj vbe tbzr jukkulm ut lbj nibhj ghnaujw bv trecuqr nj naa jfr vuldulmt bv jfr thecrw ouaa qbzr nt n thekeutr ul mreznlw n qbhljew jfnj dbrt lbj mrlrenaaw jfuly bv ujtrav nt n lnjubl bv fnkkw dutjeuihjbet bv jeulymrad jfr obed ul n tuzuane crul jb kbheibuer ul verlqf zrnlt deulyulm zblrw lbe ut mreznlw n qbhljew ofbtr trecuqr tjnvv ner knejuqhaneaw qhtjbzre veurldaw ul ireaul n mantt bv irre be n kanjr bv vbbd ut bvjrl trecrd ul n fhvv enjfre jfnl oujf n tzuar lbj vbe lbjfulm ut trecuqro tjr drhjtqfanld mreznlw ut n trecuqr drtrej n jfulm wrj jfr dnjn ervarqjt n qarne jerld mreznlt jrld jb fnld bcre n vro rxjen qbult ueertkrqjucr bv fbo jfrw fncr irrl jernjrd jfrw ner jfr lnjubl ul rhebkr arntj auyraw jb lbj juk rcrl vbe kbbe trecuqr nld jfr zbtj ouaaulm jb knw rxjen vbe ncrenmr trecuqr n qbljulhulm vbldlrtt vbe qntf znw ir n vnqjbe oujf znlw jnxu deucret nld inet tjuaa ervhtulm knwzrlj iw qned n meboulm nonerlrtt bv anibhe tfbejnmrt ul jfr qnjreulm trqjbe qbhad natb rxkanul n qfnlmr ul njjujhdr oujf znlw inet nld qnvrt rcrl ul ium qujurt erdhqulm jfrue bkrlulm fbhet dhr jb n kbtj knldrzuq anqy bv tjnvv tbzr ineyrrkret tnw jfrue qhtjbzret fncr erqrljaw irqbzr zber mrlrebht jukkret ihj uv mreznl jukkulm fniujt trrz ulmenulrd jfrw ner\n",
      "Not updating anymore after iteration 29\n",
      "Iter 0 of start 1: du qtwhiuo dn vtthv nx et swtnno hpgl ipnxhindg swtnno hpgl ijj nlt ndht du awiugt iuk vsidu dn ijj ktstukv swtvphiejo xu vxgdij vpenjtndtv nlin oxp lift nx et awtugl xw vsiudvl nx puktwvniuk du dnijo clo cxpjk oxp tftu exnltw cltu iuk lxc hpgl nx nds dv i bptvndxu nlin liv ettu ftrduq fdvdnxwv nx tpwxst axw iv jxuq iv stxsjt lift ettu nwiftjjduq iwxpuk nlt gxundutun xpnvdkt nltdw xcu gxpunwo dn vtthv tftu tpwxstiuv kxu n yuxc nlt iuvctw iggxwkduq nx utc sxjjduq eo oxpqxf du vdr tp gxpunwdtv ewdnidu iuk nlt pv cltwt iv hxvn fdvdnxwv yuxc epn hio et wtjpgniun nx igyuxcjtkqt qwinpdndtv hio hiyt ps hxwt nliu lija oxpw cidnstwvxu v dugxht tpwxstiuv iwt kttsjo kdfdktk xu ndssduq du wtvnipwiunv axw trihsjt xa wtvsxuktunv du qtwhiuo nxjk nlt sxjjvntw nlto nosdgijjo ndsstk ijhxvn nlt viht iv nlt pv du nlt py cltwt iu xsndxuij vtwfdgt gliwqt xa iexpn dv pvpijjo dugjpktk vidk nlto jtan i qwinpdno nlt adqpwt du vsidu cltwt vtwfdgt dv xantu dugjpktk du wtvnipwiun edjjv epn kdutwv giu jtift xsndxuij ndsv civ cldjt du awiugt cltwt tftwo swdgt xu i wtvnipwiun htup ijwtiko dugjpktv axw vtwfdgt xa stxsjt vidk nlto qtutwijjo ndsstk xu nxs tftu du vctktu cltwt ndsv iwt qtutwijjo uxn trstgntk nlt adqpwt civ epn xujo xa dnijdiuv vidk nlto cxpjk nosdgijjo jtift i qwinpdno iantw i htij xpn cdnl i winltw qwtintw swxsxwndxu ikhdnnduq nlto utftw jtan i gtun i vniwnjduq xa wtvsxuktunv du nlt pv lxctftw iuk xa qtwhiuv eo aiw nlt hxvn du tpwxst gxuatvvtk nlto cxpjk nds vxhtndhtv xw xantu tftu da nlt vtwfdgt civ ntwwdejt dukdginduq nlin axw vxht ndssduq dv uxn iexpn bpijdno xa vtwfdgt in ijj nlt adukduqv xa nlt vpwfto cdjj gxht iv i vpwswdvt du qtwhiuo i gxpunwo nlin kxtv uxn qtutwijjo nlduy xa dnvtja iv i uindxu xa lisso kdvnwdepnxwv xa nwduyqtjk nlt cxwk du i vdhdjiw ftdu nx sxpwexdwt du awtugl htiuv kwduyduq hxuto uxw dv qtwhiuo i gxpunwo clxvt vtwfdgt vniaa iwt siwndgpjiwjo gpvnxhtw awdtukjo du etwjdu i qjivv xa ettw xw i sjint xa axxk dv xantu vtwftk du i lpaa winltw nliu cdnl i vhdjt uxn axw uxnlduq dv vtwfdgtc vnt ktpnvgljiuk qtwhiuo dv i vtwfdgt ktvtwn i nlduq otn nlt kini wtajtgnv i gjtiw nwtuk qtwhiuv ntuk nx liuk xftw i atc trnwi gxduv dwwtvstgndft xa lxc nlto lift ettu nwtintk nlto iwt nlt uindxu du tpwxst jtivn jdytjo nx uxn nds tftu axw sxxw vtwfdgt iuk nlt hxvn cdjjduq nx sio trnwi axw iftwiqt vtwfdgt i gxundupduq axukutvv axw givl hio et i aignxw cdnl hiuo nird kwdftwv iuk eiwv vndjj wtapvduq siohtun eo giwk i qwxcduq iciwtutvv xa jiexpw vlxwniqtv du nlt gintwduq vtgnxw gxpjk ijvx trsjidu i gliuqt du inndnpkt cdnl hiuo eiwv iuk giatv tftu du edq gdndtv wtkpgduq nltdw xstuduq lxpwv kpt nx i sxvn siukthdg jigy xa vniaa vxht eiwyttstwv vio nltdw gpvnxhtwv lift wtgtunjo etgxht hxwt qtutwxpv ndsstwv epn da qtwhiu ndssduq liednv vtth duqwidutk nlto iwt\n",
      "Iter 0 of start 2: jr mhoazrx jv whhaw vd fh gohvvx anyp znvdazvjy gohvvx anyp zcc vph vjah jr uozryh zri wgzjr jv zcc ihghriw gohwnazfcx dr wdyjzc wnfvchvjhw vpzv xdn pzkh vd fh uohryp do wgzrjwp vd nrihowvzri jr jvzcx epx ednci xdn hkhr fdvpho ephr zri pde anyp vd vjg jw z bnhwvjdr vpzv pzw fhhr khljrm kjwjvdow vd hnodgh udo zw cdrm zw ghdgch pzkh fhhr vozkhccjrm zodnri vph ydrvjrhrv dnvwjih vphjo der ydnrvox jv whhaw hkhr hnodghzrw idr v trde vph zrweho zyydoijrm vd rhe gdccjrm fx xdnmdk jr wjl hn ydnrvojhw fojvzjr zri vph nw ephoh zw adwv kjwjvdow trde fnv azx fh ohcnyvzrv vd zytrdechimh mozvnjvjhw azx azth ng adoh vpzr pzcu xdno ezjvghowdr w jrydah hnodghzrw zoh ihhgcx ijkjihi dr vjggjrm jr ohwvznozrvw udo hlzagch du ohwgdrihrvw jr mhoazrx vdci vph gdccwvho vphx vxgjyzccx vjgghi zcadwv vph wzah zw vph nw jr vph nt ephoh zr dgvjdrzc whokjyh ypzomh du zfdnv jw nwnzccx jrycnihi wzji vphx chuv z mozvnjvx vph ujmnoh jr wgzjr ephoh whokjyh jw duvhr jrycnihi jr ohwvznozrv fjccw fnv ijrhow yzr chzkh dgvjdrzc vjgw ezw epjch jr uozryh ephoh hkhox gojyh dr z ohwvznozrv ahrn zcohzix jrycnihw udo whokjyh du ghdgch wzji vphx mhrhozccx vjgghi dr vdg hkhr jr wehihr ephoh vjgw zoh mhrhozccx rdv hlghyvhi vph ujmnoh ezw fnv drcx du jvzcjzrw wzji vphx ednci vxgjyzccx chzkh z mozvnjvx zuvho z ahzc dnv ejvp z ozvpho mohzvho godgdovjdr ziajvvjrm vphx rhkho chuv z yhrv z wvzovcjrm du ohwgdrihrvw jr vph nw pdehkho zri du mhoazrw fx uzo vph adwv jr hnodgh ydruhwwhi vphx ednci vjg wdahvjahw do duvhr hkhr ju vph whokjyh ezw vhoojfch jrijyzvjrm vpzv udo wdah vjggjrm jw rdv zfdnv bnzcjvx du whokjyh zv zcc vph ujrijrmw du vph wnokhx ejcc ydah zw z wnogojwh jr mhoazrx z ydnrvox vpzv idhw rdv mhrhozccx vpjrt du jvwhcu zw z rzvjdr du pzggx ijwvojfnvdow du vojrtmhci vph edoi jr z wjajczo khjr vd gdnofdjoh jr uohryp ahzrw iojrtjrm adrhx rdo jw mhoazrx z ydnrvox epdwh whokjyh wvzuu zoh gzovjynczocx ynwvdaho uojhricx jr fhocjr z mczww du fhho do z gczvh du uddi jw duvhr whokhi jr z pnuu ozvpho vpzr ejvp z wajch rdv udo rdvpjrm jw whokjyhe wvh ihnvwypczri mhoazrx jw z whokjyh ihwhov z vpjrm xhv vph izvz ohuchyvw z ychzo vohri mhoazrw vhri vd pzri dkho z uhe hlvoz ydjrw joohwghyvjkh du pde vphx pzkh fhhr vohzvhi vphx zoh vph rzvjdr jr hnodgh chzwv cjthcx vd rdv vjg hkhr udo gddo whokjyh zri vph adwv ejccjrm vd gzx hlvoz udo zkhozmh whokjyh z ydrvjrnjrm udrirhww udo yzwp azx fh z uzyvdo ejvp azrx vzlj iojkhow zri fzow wvjcc ohunwjrm gzxahrv fx yzoi z modejrm zezohrhww du czfdno wpdovzmhw jr vph yzvhojrm whyvdo ydnci zcwd hlgczjr z ypzrmh jr zvvjvnih ejvp azrx fzow zri yzuhw hkhr jr fjm yjvjhw ohinyjrm vphjo dghrjrm pdnow inh vd z gdwv gzrihajy czyt du wvzuu wdah fzothhghow wzx vphjo ynwvdahow pzkh ohyhrvcx fhydah adoh mhrhodnw vjgghow fnv ju mhoazr vjggjrm pzfjvw whha jrmozjrhi vphx zoh\n",
      "Iter 0 of start 3: fb waxhdbc fv eaahe vj ua zxavvc hslg dsvjhdvfl zxavvc hslg dmm vga vfha fb ixdbla dbp ezdfb fv dmm pazabpe zxaeshdumc jb ejlfdm esuvmavfae vgdv cjs gdoa vj ua ixablg jx ezdbfeg vj sbpaxevdbp fb fvdmc ngc njsmp cjs aoab ujvgax ngab dbp gjn hslg vj vfz fe d tsaevfjb vgdv gde uaab oaqfbw ofefvjxe vj asxjza ijx de mjbw de zajzma gdoa uaab vxdoammfbw dxjsbp vga ljbvfbabv jsvefpa vgafx jnb ljsbvxc fv eaahe aoab asxjzadbe pjb v ybjn vga dbenax dlljxpfbw vj ban zjmmfbw uc cjswjo fb efq as ljsbvxfae uxfvdfb dbp vga se ngaxa de hjev ofefvjxe ybjn usv hdc ua xamslvdbv vj dlybjnmapwa wxdvsfvfae hdc hdya sz hjxa vgdb gdmi cjsx ndfvzaxejb e fbljha asxjzadbe dxa paazmc pfofpap jb vfzzfbw fb xaevdsxdbve ijx aqdhzma ji xaezjbpabve fb waxhdbc vjmp vga zjmmevax vgac vczfldmmc vfzzap dmhjev vga edha de vga se fb vga sy ngaxa db jzvfjbdm eaxofla lgdxwa ji dujsv fe sesdmmc fblmspap edfp vgac maiv d wxdvsfvc vga ifwsxa fb ezdfb ngaxa eaxofla fe jivab fblmspap fb xaevdsxdbv ufmme usv pfbaxe ldb madoa jzvfjbdm vfze nde ngfma fb ixdbla ngaxa aoaxc zxfla jb d xaevdsxdbv habs dmxadpc fblmspae ijx eaxofla ji zajzma edfp vgac wabaxdmmc vfzzap jb vjz aoab fb enapab ngaxa vfze dxa wabaxdmmc bjv aqzalvap vga ifwsxa nde usv jbmc ji fvdmfdbe edfp vgac njsmp vczfldmmc madoa d wxdvsfvc divax d hadm jsv nfvg d xdvgax wxadvax zxjzjxvfjb dphfvvfbw vgac baoax maiv d labv d evdxvmfbw ji xaezjbpabve fb vga se gjnaoax dbp ji waxhdbe uc idx vga hjev fb asxjza ljbiaeeap vgac njsmp vfz ejhavfhae jx jivab aoab fi vga eaxofla nde vaxxfuma fbpfldvfbw vgdv ijx ejha vfzzfbw fe bjv dujsv tsdmfvc ji eaxofla dv dmm vga ifbpfbwe ji vga esxoac nfmm ljha de d esxzxfea fb waxhdbc d ljsbvxc vgdv pjae bjv wabaxdmmc vgfby ji fveami de d bdvfjb ji gdzzc pfevxfusvjxe ji vxfbywamp vga njxp fb d efhfmdx oafb vj zjsxujfxa fb ixablg hadbe pxfbyfbw hjbac bjx fe waxhdbc d ljsbvxc ngjea eaxofla evdii dxa zdxvflsmdxmc lsevjhax ixfabpmc fb uaxmfb d wmdee ji uaax jx d zmdva ji ijjp fe jivab eaxoap fb d gsii xdvgax vgdb nfvg d ehfma bjv ijx bjvgfbw fe eaxoflan eva pasvelgmdbp waxhdbc fe d eaxofla paeaxv d vgfbw cav vga pdvd xaimalve d lmadx vxabp waxhdbe vabp vj gdbp joax d ian aqvxd ljfbe fxxaezalvfoa ji gjn vgac gdoa uaab vxadvap vgac dxa vga bdvfjb fb asxjza madev mfyamc vj bjv vfz aoab ijx zjjx eaxofla dbp vga hjev nfmmfbw vj zdc aqvxd ijx doaxdwa eaxofla d ljbvfbsfbw ijbpbaee ijx ldeg hdc ua d idlvjx nfvg hdbc vdqf pxfoaxe dbp udxe evfmm xaisefbw zdchabv uc ldxp d wxjnfbw dndxabaee ji mdujsx egjxvdwae fb vga ldvaxfbw ealvjx ljsmp dmej aqzmdfb d lgdbwa fb dvvfvspa nfvg hdbc udxe dbp ldiae aoab fb ufw lfvfae xapslfbw vgafx jzabfbw gjsxe psa vj d zjev zdbpahfl mdly ji evdii ejha udxyaazaxe edc vgafx lsevjhaxe gdoa xalabvmc ualjha hjxa wabaxjse vfzzaxe usv fi waxhdb vfzzfbw gdufve eaah fbwxdfbap vgac dxa\n",
      "Not updating anymore after iteration 29\n",
      "Iter 0 of start 1: mw jioxtwy ms eiixe sh pi goissy xaqb tashxtsmq goissy xaqb tzz sbi smxi mw votwqi twf egtmw ms tzz figiwfe goieaxtpzy hw ehqmtz eapszismie sbts yha btci sh pi voiwqb ho egtwmeb sh awfioestwf mw mstzy uby uhazf yha iciw phsbio ubiw twf bhu xaqb sh smg me t daiesmhw sbts bte piiw cilmwj cmemshoe sh iaohgi vho te zhwj te gihgzi btci piiw sotcizzmwj tohawf sbi qhwsmwiws hasemfi sbimo huw qhawsoy ms eiixe iciw iaohgitwe fhw s kwhu sbi tweuio tqqhofmwj sh wiu ghzzmwj py yhajhc mw eml ia qhawsomie pomstmw twf sbi ae ubioi te xhes cmemshoe kwhu pas xty pi oizaqstws sh tqkwhuzifji jotsamsmie xty xtki ag xhoi sbtw btzv yhao utmsgioehw e mwqhxi iaohgitwe toi fiigzy fmcmfif hw smggmwj mw oiestaotwse vho iltxgzi hv oieghwfiwse mw jioxtwy shzf sbi ghzzesio sbiy sygmqtzzy smggif tzxhes sbi etxi te sbi ae mw sbi ak ubioi tw hgsmhwtz eiocmqi qbtoji hv tphas me aeatzzy mwqzafif etmf sbiy zivs t jotsamsy sbi vmjaoi mw egtmw ubioi eiocmqi me hvsiw mwqzafif mw oiestaotws pmzze pas fmwioe qtw zitci hgsmhwtz smge ute ubmzi mw votwqi ubioi icioy gomqi hw t oiestaotws xiwa tzoitfy mwqzafie vho eiocmqi hv gihgzi etmf sbiy jiwiotzzy smggif hw shg iciw mw euifiw ubioi smge toi jiwiotzzy whs ilgiqsif sbi vmjaoi ute pas hwzy hv mstzmtwe etmf sbiy uhazf sygmqtzzy zitci t jotsamsy tvsio t xitz has umsb t otsbio joitsio gohghosmhw tfxmssmwj sbiy wicio zivs t qiws t estoszmwj hv oieghwfiwse mw sbi ae bhuicio twf hv jioxtwe py vto sbi xhes mw iaohgi qhwvieeif sbiy uhazf smg ehxismxie ho hvsiw iciw mv sbi eiocmqi ute sioompzi mwfmqtsmwj sbts vho ehxi smggmwj me whs tphas datzmsy hv eiocmqi ts tzz sbi vmwfmwje hv sbi eaociy umzz qhxi te t eaogomei mw jioxtwy t qhawsoy sbts fhie whs jiwiotzzy sbmwk hv mseizv te t wtsmhw hv btggy fmesompashoe hv somwkjizf sbi uhof mw t emxmzto cimw sh ghaophmoi mw voiwqb xitwe fomwkmwj xhwiy who me jioxtwy t qhawsoy ubhei eiocmqi estvv toi gtosmqaztozy qaeshxio vomiwfzy mw piozmw t jztee hv piio ho t gztsi hv vhhf me hvsiw eiocif mw t bavv otsbio sbtw umsb t exmzi whs vho whsbmwj me eiocmqiu esi fiaseqbztwf jioxtwy me t eiocmqi fieios t sbmwj yis sbi ftst oivziqse t qzito soiwf jioxtwe siwf sh btwf hcio t viu ilsot qhmwe mooiegiqsmci hv bhu sbiy btci piiw soitsif sbiy toi sbi wtsmhw mw iaohgi zites zmkizy sh whs smg iciw vho ghho eiocmqi twf sbi xhes umzzmwj sh gty ilsot vho tciotji eiocmqi t qhwsmwamwj vhwfwiee vho qteb xty pi t vtqsho umsb xtwy stlm fomcioe twf ptoe esmzz oivaemwj gtyxiws py qtof t johumwj tutoiwiee hv ztphao ebhostjie mw sbi qtsiomwj eiqsho qhazf tzeh ilgztmw t qbtwji mw tssmsafi umsb xtwy ptoe twf qtvie iciw mw pmj qmsmie oifaqmwj sbimo hgiwmwj bhaoe fai sh t ghes gtwfixmq ztqk hv estvv ehxi ptokiigioe ety sbimo qaeshxioe btci oiqiwszy piqhxi xhoi jiwiohae smggioe pas mv jioxtw smggmwj btpmse eiix mwjotmwif sbiy toi\n",
      "Iter 0 of start 2: ks tewcxsz kd neecn dy he pweddz cbor xbdycxdko pweddz cbor xll dre dkce ks mwxsoe xsq npxks kd xll qepesqn pwenbcxhlz ys nyokxl nbhdledken drxd zyb rxve dy he mwesor yw npxsknr dy bsqewndxsq ks kdxlz frz fyblq zyb eves hydrew fres xsq ryf cbor dy dkp kn x abendkys drxd rxn hees veukst vknkdywn dy ebwype myw xn lyst xn peyple rxve hees dwxvellkst xwybsq dre oysdksesd ybdnkqe drekw yfs oybsdwz kd neecn eves ebwypexsn qys d isyf dre xsnfew xooywqkst dy sef pyllkst hz zybtyv ks nku eb oybsdwken hwkdxks xsq dre bn frewe xn cynd vknkdywn isyf hbd cxz he welbodxsd dy xoisyfleqte twxdbkdken cxz cxie bp cywe drxs rxlm zybw fxkdpewnys n ksoyce ebwypexsn xwe qeeplz qkvkqeq ys dkppkst ks wendxbwxsdn myw euxcple ym wenpysqesdn ks tewcxsz dylq dre pyllndew drez dzpkoxllz dkppeq xlcynd dre nxce xn dre bn ks dre bi frewe xs ypdkysxl newvkoe orxwte ym xhybd kn bnbxllz ksolbqeq nxkq drez lemd x twxdbkdz dre mktbwe ks npxks frewe newvkoe kn ymdes ksolbqeq ks wendxbwxsd hklln hbd qksewn oxs lexve ypdkysxl dkpn fxn frkle ks mwxsoe frewe evewz pwkoe ys x wendxbwxsd cesb xlwexqz ksolbqen myw newvkoe ym peyple nxkq drez tesewxllz dkppeq ys dyp eves ks nfeqes frewe dkpn xwe tesewxllz syd eupeodeq dre mktbwe fxn hbd yslz ym kdxlkxsn nxkq drez fyblq dzpkoxllz lexve x twxdbkdz xmdew x cexl ybd fkdr x wxdrew twexdew pwypywdkys xqckddkst drez sevew lemd x oesd x ndxwdlkst ym wenpysqesdn ks dre bn ryfevew xsq ym tewcxsn hz mxw dre cynd ks ebwype oysmenneq drez fyblq dkp nycedkcen yw ymdes eves km dre newvkoe fxn dewwkhle ksqkoxdkst drxd myw nyce dkppkst kn syd xhybd abxlkdz ym newvkoe xd xll dre mksqkstn ym dre nbwvez fkll oyce xn x nbwpwkne ks tewcxsz x oybsdwz drxd qyen syd tesewxllz drksi ym kdnelm xn x sxdkys ym rxppz qkndwkhbdywn ym dwksitelq dre fywq ks x nkcklxw veks dy pybwhykwe ks mwesor cexsn qwksikst cysez syw kn tewcxsz x oybsdwz fryne newvkoe ndxmm xwe pxwdkoblxwlz obndycew mwkesqlz ks hewlks x tlxnn ym heew yw x plxde ym myyq kn ymdes newveq ks x rbmm wxdrew drxs fkdr x nckle syd myw sydrkst kn newvkoef nde qebdnorlxsq tewcxsz kn x newvkoe qenewd x drkst zed dre qxdx wemleodn x olexw dwesq tewcxsn desq dy rxsq yvew x mef eudwx oyksn kwwenpeodkve ym ryf drez rxve hees dwexdeq drez xwe dre sxdkys ks ebwype lexnd lkielz dy syd dkp eves myw pyyw newvkoe xsq dre cynd fkllkst dy pxz eudwx myw xvewxte newvkoe x oysdksbkst mysqsenn myw oxnr cxz he x mxodyw fkdr cxsz dxuk qwkvewn xsq hxwn ndkll wembnkst pxzcesd hz oxwq x twyfkst xfxwesenn ym lxhybw nrywdxten ks dre oxdewkst neodyw oyblq xlny euplxks x orxste ks xddkdbqe fkdr cxsz hxwn xsq oxmen eves ks hkt okdken weqbokst drekw ypeskst rybwn qbe dy x pynd pxsqecko lxoi ym ndxmm nyce hxwieepewn nxz drekw obndycewn rxve weoesdlz heoyce cywe tesewybn dkppewn hbd km tewcxs dkppkst rxhkdn neec kstwxkseq drez xwe\n",
      "Iter 0 of start 3: qk cjnxpkd qr ujjxu ri mj fnjrrd xsge psrixprqg fnjrrd xsge paa rej rqxj qk znpkgj pkl ufpqk qr paa ljfjklu fnjusxpmad ik uigqpa usmrajrqju repr dis epyj ri mj znjkge in ufpkque ri skljnurpkl qk qrpad ved visal dis jyjk mirejn vejk pkl eiv xsge ri rqf qu p tsjurqik repr epu mjjk yjoqkc yquqrinu ri jsnifj zin pu aikc pu fjifaj epyj mjjk rnpyjaaqkc pniskl rej gikrqkjkr isruqlj rejqn ivk giskrnd qr ujjxu jyjk jsnifjpku lik r wkiv rej pkuvjn pgginlqkc ri kjv fiaaqkc md disciy qk uqo js giskrnqju mnqrpqk pkl rej su vejnj pu xiur yquqrinu wkiv msr xpd mj njasgrpkr ri pgwkivajlcj cnprsqrqju xpd xpwj sf xinj repk epaz disn vpqrfjnuik u qkgixj jsnifjpku pnj ljjfad lqyqljl ik rqffqkc qk njurpsnpkru zin jopxfaj iz njufikljkru qk cjnxpkd rial rej fiaaurjn rejd rdfqgpaad rqffjl paxiur rej upxj pu rej su qk rej sw vejnj pk ifrqikpa ujnyqgj gepncj iz pmisr qu suspaad qkgasljl upql rejd ajzr p cnprsqrd rej zqcsnj qk ufpqk vejnj ujnyqgj qu izrjk qkgasljl qk njurpsnpkr mqaau msr lqkjnu gpk ajpyj ifrqikpa rqfu vpu veqaj qk znpkgj vejnj jyjnd fnqgj ik p njurpsnpkr xjks panjpld qkgaslju zin ujnyqgj iz fjifaj upql rejd cjkjnpaad rqffjl ik rif jyjk qk uvjljk vejnj rqfu pnj cjkjnpaad kir jofjgrjl rej zqcsnj vpu msr ikad iz qrpaqpku upql rejd visal rdfqgpaad ajpyj p cnprsqrd pzrjn p xjpa isr vqre p nprejn cnjprjn fnifinrqik plxqrrqkc rejd kjyjn ajzr p gjkr p urpnraqkc iz njufikljkru qk rej su eivjyjn pkl iz cjnxpku md zpn rej xiur qk jsnifj gikzjuujl rejd visal rqf uixjrqxju in izrjk jyjk qz rej ujnyqgj vpu rjnnqmaj qklqgprqkc repr zin uixj rqffqkc qu kir pmisr tspaqrd iz ujnyqgj pr paa rej zqklqkcu iz rej usnyjd vqaa gixj pu p usnfnquj qk cjnxpkd p giskrnd repr liju kir cjkjnpaad reqkw iz qrujaz pu p kprqik iz epffd lqurnqmsrinu iz rnqkwcjal rej vinl qk p uqxqapn yjqk ri fisnmiqnj qk znjkge xjpku lnqkwqkc xikjd kin qu cjnxpkd p giskrnd veiuj ujnyqgj urpzz pnj fpnrqgsapnad gsurixjn znqjklad qk mjnaqk p capuu iz mjjn in p faprj iz ziil qu izrjk ujnyjl qk p eszz nprejn repk vqre p uxqaj kir zin kireqkc qu ujnyqgjv urj ljsrugeapkl cjnxpkd qu p ujnyqgj ljujnr p reqkc djr rej lprp njzajgru p gajpn rnjkl cjnxpku rjkl ri epkl iyjn p zjv jornp giqku qnnjufjgrqyj iz eiv rejd epyj mjjk rnjprjl rejd pnj rej kprqik qk jsnifj ajpur aqwjad ri kir rqf jyjk zin fiin ujnyqgj pkl rej xiur vqaaqkc ri fpd jornp zin pyjnpcj ujnyqgj p gikrqksqkc ziklkjuu zin gpue xpd mj p zpgrin vqre xpkd rpoq lnqyjnu pkl mpnu urqaa njzsuqkc fpdxjkr md gpnl p cnivqkc pvpnjkjuu iz apmisn ueinrpcju qk rej gprjnqkc ujgrin gisal paui jofapqk p gepkcj qk prrqrslj vqre xpkd mpnu pkl gpzju jyjk qk mqc gqrqju njlsgqkc rejqn ifjkqkc eisnu lsj ri p fiur fpkljxqg apgw iz urpzz uixj mpnwjjfjnu upd rejqn gsurixjnu epyj njgjkrad mjgixj xinj cjkjnisu rqffjnu msr qz cjnxpk rqffqkc epmqru ujjx qkcnpqkjl rejd pnj\n",
      "Not updating anymore after iteration 29\n",
      "Iter 0 of start 1: am hskyjmv ab essye bu rs cksbbv ydli jdbuyjbal cksbbv ydli jxx bis bays am okjmls jmf ecjam ab jxx fscsmfe cksedyjrxv um eulajx edrbxsbase bijb vud ijts bu rs oksmli uk ecjmaei bu dmfskebjmf am abjxv niv nudxf vud stsm rubisk nism jmf iun ydli bu bac ae j zdsebaum bijb ije rssm tswamh taeabuke bu sdkucs ouk je xumh je csucxs ijts rssm bkjtsxxamh jkudmf bis lumbamsmb udbeafs bisak unm ludmbkv ab essye stsm sdkucsjme fum b qmun bis jmensk jllukfamh bu msn cuxxamh rv vudhut am eaw sd ludmbkase rkabjam jmf bis de nisks je yueb taeabuke qmun rdb yjv rs ksxdlbjmb bu jlqmunxsfhs hkjbdabase yjv yjqs dc yuks bijm ijxo vudk njabcskeum e amluys sdkucsjme jks fsscxv fatafsf um baccamh am ksebjdkjmbe ouk swjycxs uo ksecumfsmbe am hskyjmv buxf bis cuxxebsk bisv bvcaljxxv baccsf jxyueb bis ejys je bis de am bis dq nisks jm ucbaumjx esktals lijkhs uo jrudb ae dedjxxv amlxdfsf ejaf bisv xsob j hkjbdabv bis oahdks am ecjam nisks esktals ae uobsm amlxdfsf am ksebjdkjmb raxxe rdb famske ljm xsjts ucbaumjx bace nje niaxs am okjmls nisks stskv ckals um j ksebjdkjmb ysmd jxksjfv amlxdfse ouk esktals uo csucxs ejaf bisv hsmskjxxv baccsf um buc stsm am ensfsm nisks bace jks hsmskjxxv mub swcslbsf bis oahdks nje rdb umxv uo abjxajme ejaf bisv nudxf bvcaljxxv xsjts j hkjbdabv jobsk j ysjx udb nabi j kjbisk hksjbsk ckucukbaum jfyabbamh bisv mstsk xsob j lsmb j ebjkbxamh uo ksecumfsmbe am bis de iunstsk jmf uo hskyjme rv ojk bis yueb am sdkucs lumoseesf bisv nudxf bac euysbayse uk uobsm stsm ao bis esktals nje bskkarxs amfaljbamh bijb ouk euys baccamh ae mub jrudb zdjxabv uo esktals jb jxx bis oamfamhe uo bis edktsv naxx luys je j edkckaes am hskyjmv j ludmbkv bijb fuse mub hsmskjxxv biamq uo abesxo je j mjbaum uo ijccv faebkardbuke uo bkamqhsxf bis nukf am j eayaxjk tsam bu cudkruaks am oksmli ysjme fkamqamh yumsv muk ae hskyjmv j ludmbkv niues esktals ebjoo jks cjkbaldxjkxv ldebuysk okasmfxv am rskxam j hxjee uo rssk uk j cxjbs uo ouuf ae uobsm esktsf am j idoo kjbisk bijm nabi j eyaxs mub ouk mubiamh ae esktalsn ebs fsdbelixjmf hskyjmv ae j esktals fseskb j biamh vsb bis fjbj ksoxslbe j lxsjk bksmf hskyjme bsmf bu ijmf utsk j osn swbkj luame akksecslbats uo iun bisv ijts rssm bksjbsf bisv jks bis mjbaum am sdkucs xsjeb xaqsxv bu mub bac stsm ouk cuuk esktals jmf bis yueb naxxamh bu cjv swbkj ouk jtskjhs esktals j lumbamdamh oumfmsee ouk ljei yjv rs j ojlbuk nabi yjmv bjwa fkatske jmf rjke ebaxx ksodeamh cjvysmb rv ljkf j hkunamh jnjksmsee uo xjrudk eiukbjhse am bis ljbskamh eslbuk ludxf jxeu swcxjam j lijmhs am jbbabdfs nabi yjmv rjke jmf ljose stsm am rah labase ksfdlamh bisak ucsmamh iudke fds bu j cueb cjmfsyal xjlq uo ebjoo euys rjkqsscske ejv bisak ldebuyske ijts kslsmbxv rsluys yuks hsmskude baccske rdb ao hskyjm baccamh ijrabe essy amhkjamsf bisv jks mub jxnjve uresktsf jffamh ae j hsmskjxxv jllscbsf kdxs rdb mub jxnjve ouxxunsf yueb ldebuyske cjv ys swbkj ejaf ysiysb fuhjm j rskxam bjwa fkatsk rdb bis kdxs fusem b jccxv bu xumhsk gudkmsve a fum b biamq a ijts rssm hatsm j bac am vsjke uo fuamh yv gur ao euysums exaccsf ys j oatsk a f jeedys bisv yjfs j yaebjqs yjbbisn eyabi vudhut e isjf uo fjbj gudkmjxaey ejaf euys yjv rs edkckaesf rv bis kstsxjbaum bijb hskyjme jks gdeb je xaqsxv je jyskaljme bu bac esktals nukqske mub xsjeb rsljdes esktals jbbabdfse am hskyjmv ijts ckstaudexv rssm eu rjf bijb bis hutskmysmb osxb bis mssf bu jffksee ab rsouks bis ludmbkv iuebsf bis nukxf ldc am abjxv bapajmj maluxuea niu yjmjhse zdakamu j rjk jmf ksebjdkjmb am lsmbkjx kuys ejaf bis ludmbkv eaycxv fusem b ijts j ldxbdks ouk baccamh ns ks mub xaqs jyskaljme uk bis rkabaei ns yahib fu ab ulljeaumjxxv rdb ab e mub euysbiamh bijb ae swcslbsf ab ae kjks bu ess j bac ruw rv bis baxx am j rjk uk ksebjdkjmb am abjxv nabi euys unmske fssyamh edli j faecxjv dmrsluyamh amebsjf bisv jcckslajbs bis xuvjxbv uo kshdxjk lxasmbsxs niu yjv ulljeaumjxxv xsjts j xabbxs swbkj jobsk bisak fkamq uk ysjx am ksluhmabaum uo zdjxabv jmf esktals kjbisk bijm udb uo urxahjbaum yjmv abjxajme iunstsk xsjts bis lijmhs jobsk cjvamh j raxx ao j luooss luebe lsmbe bism j ldebuysk naxx dedjxxv hats jmf xsb de qssc bis lijmhs ejaf kalljkfu lumba j njabsk am kuys ouk euys ldebuyske xsjtamh bis eyjxx lijmhs ae eaycxv j yjbbsk uo mub njmbamh bu ijmh jkudmf is jffsf cskeumjxxv lumba ejaf is rdlqe bis bksmf uo mum baccamh abjxajme a jxnjve xsjts j bac yjamxv am rjke jmf ksebjdkjmbe is ejaf jffamh ab nje tskv edrgslbats ab jxx fscsmfe um bis amfatafdjx ab e j hsebdks vud yahib ess yuks okuy csucxs am bis eudbi niu jks hsmskjxxv yuks njky jmf hsmskude bijm am bis mukbi ksosksmls hskyjme rseb baccske am sdkucs oamfe cuxx abjxajme mub eu ydli bis hdjkfajm ejb gdms\n",
      "Iter 0 of start 2: zu xndacur zl ennae li jn hdnllr aopk coliaclzp hdnllr aopk cqq lkn lzan zu sdcupn cum ehczu zl cqq mnhnume hdneoacjqr iu eipzcq eojlqnlzne lkcl rio kctn li jn sdnupk id ehcuzek li oumndelcum zu zlcqr fkr fioqm rio ntnu jilknd fknu cum kif aopk li lzh ze c vonelziu lkcl kce jnnu tnwzux tzezlide li nodihn sid ce qiux ce hnihqn kctn jnnu ldctnqqzux cdioum lkn piulzunul iolezmn lknzd ifu piouldr zl ennae ntnu nodihncue miu l yuif lkn cuefnd cppidmzux li unf hiqqzux jr rioxit zu ezw no piouldzne jdzlczu cum lkn oe fkndn ce aiel tzezlide yuif jol acr jn dnqoplcul li cpyuifqnmxn xdclozlzne acr acyn oh aidn lkcu kcqs riod fczlhndeiu e zupian nodihncue cdn mnnhqr mztzmnm iu lzhhzux zu dnelcodcule sid nwcahqn is dnehiumnule zu xndacur liqm lkn hiqqelnd lknr lrhzpcqqr lzhhnm cqaiel lkn ecan ce lkn oe zu lkn oy fkndn cu ihlziucq endtzpn pkcdxn is cjiol ze oeocqqr zupqomnm eczm lknr qnsl c xdclozlr lkn szxodn zu ehczu fkndn endtzpn ze islnu zupqomnm zu dnelcodcul jzqqe jol mzunde pcu qnctn ihlziucq lzhe fce fkzqn zu sdcupn fkndn ntndr hdzpn iu c dnelcodcul anuo cqdncmr zupqomne sid endtzpn is hnihqn eczm lknr xnundcqqr lzhhnm iu lih ntnu zu efnmnu fkndn lzhe cdn xnundcqqr uil nwhnplnm lkn szxodn fce jol iuqr is zlcqzcue eczm lknr fioqm lrhzpcqqr qnctn c xdclozlr cslnd c ancq iol fzlk c dclknd xdnclnd hdihidlziu cmazllzux lknr untnd qnsl c pnul c elcdlqzux is dnehiumnule zu lkn oe kifntnd cum is xndacue jr scd lkn aiel zu nodihn piusneenm lknr fioqm lzh eianlzane id islnu ntnu zs lkn endtzpn fce lnddzjqn zumzpclzux lkcl sid eian lzhhzux ze uil cjiol vocqzlr is endtzpn cl cqq lkn szumzuxe is lkn eodtnr fzqq pian ce c eodhdzen zu xndacur c piouldr lkcl mine uil xnundcqqr lkzuy is zlenqs ce c uclziu is kchhr mzeldzjolide is ldzuyxnqm lkn fidm zu c ezazqcd tnzu li hiodjizdn zu sdnupk ancue mdzuyzux aiunr uid ze xndacur c piouldr fkien endtzpn elcss cdn hcdlzpoqcdqr poeliand sdznumqr zu jndqzu c xqcee is jnnd id c hqcln is siim ze islnu endtnm zu c koss dclknd lkcu fzlk c eazqn uil sid uilkzux ze endtzpnf eln mnolepkqcum xndacur ze c endtzpn mnendl c lkzux rnl lkn mclc dnsqnple c pqncd ldnum xndacue lnum li kcum itnd c snf nwldc pizue zddnehnplztn is kif lknr kctn jnnu ldnclnm lknr cdn lkn uclziu zu nodihn qncel qzynqr li uil lzh ntnu sid hiid endtzpn cum lkn aiel fzqqzux li hcr nwldc sid ctndcxn endtzpn c piulzuozux siumunee sid pcek acr jn c scplid fzlk acur lcwz mdztnde cum jcde elzqq dnsoezux hcranul jr pcdm c xdifzux cfcdnunee is qcjiod ekidlcxne zu lkn pclndzux enplid pioqm cqei nwhqczu c pkcuxn zu cllzlomn fzlk acur jcde cum pcsne ntnu zu jzx pzlzne dnmopzux lknzd ihnuzux kiode mon li c hiel hcumnazp qcpy is elcss eian jcdynnhnde ecr lknzd poeliande kctn dnpnulqr jnpian aidn xnundioe lzhhnde jol zs xndacu lzhhzux kcjzle enna zuxdczunm lknr cdn uil cqfcre ijendtnm cmmzux ze c xnundcqqr cppnhlnm doqn jol uil cqfcre siqqifnm aiel poeliande hcr an nwldc eczm ankanl mixcu c jndqzu lcwz mdztnd jol lkn doqn mineu l chhqr li qiuxnd biodunre z miu l lkzuy z kctn jnnu xztnu c lzh zu rncde is mizux ar bij zs eianiun eqzhhnm an c sztnd z m ceeoan lknr acmn c azelcyn acllknf eazlk rioxit e kncm is mclc bioducqzea eczm eian acr jn eodhdzenm jr lkn dntnqclziu lkcl xndacue cdn boel ce qzynqr ce candzpcue li lzh endtzpn fidynde uil qncel jnpcoen endtzpn cllzlomne zu xndacur kctn hdntzioeqr jnnu ei jcm lkcl lkn xitnduanul snql lkn unnm li cmmdnee zl jnsidn lkn piouldr kielnm lkn fidqm poh zu zlcqr lzgzcuc uzpiqiez fki acucxne vozdzui c jcd cum dnelcodcul zu pnuldcq dian eczm lkn piouldr ezahqr mineu l kctn c poqlodn sid lzhhzux fn dn uil qzyn candzpcue id lkn jdzlzek fn azxkl mi zl ippceziucqqr jol zl e uil eianlkzux lkcl ze nwhnplnm zl ze dcdn li enn c lzh jiw jr lkn lzqq zu c jcd id dnelcodcul zu zlcqr fzlk eian ifunde mnnazux eopk c mzehqcr oujnpiazux zuelncm lknr chhdnpzcln lkn qircqlr is dnxoqcd pqznulnqn fki acr ippceziucqqr qnctn c qzllqn nwldc cslnd lknzd mdzuy id ancq zu dnpixuzlziu is vocqzlr cum endtzpn dclknd lkcu iol is ijqzxclziu acur zlcqzcue kifntnd qnctn lkn pkcuxn cslnd hcrzux c jzqq zs c pissnn piele pnule lknu c poeliand fzqq oeocqqr xztn cum qnl oe ynnh lkn pkcuxn eczm dzppcdmi piulz c fczlnd zu dian sid eian poeliande qnctzux lkn eacqq pkcuxn ze ezahqr c acllnd is uil fculzux li kcux cdioum kn cmmnm hndeiucqqr piulz eczm kn jopye lkn ldnum is uiu lzhhzux zlcqzcue z cqfcre qnctn c lzh aczuqr zu jcde cum dnelcodcule kn eczm cmmzux zl fce tndr eojbnplztn zl cqq mnhnume iu lkn zumztzmocq zl e c xnelodn rio azxkl enn aidn sdia hnihqn zu lkn eiolk fki cdn xnundcqqr aidn fcda cum xnundioe lkcu zu lkn uidlk dnsndnupn xndacue jnel lzhhnde zu nodihn szume hiqq zlcqzcue uil ei aopk lkn xocdmzcu ecl boun\n",
      "Iter 0 of start 3: jq ctyegql jr dtted rm kt pytrrl enui gnrmegrju pytrrl enui gzz rit rjet jq vygqut gqa dpgjq jr gzz atptqad pytdnegkzl mq dmujgz dnkrztrjtd rigr lmn igwt rm kt vytqui my dpgqjdi rm nqatydrgqa jq jrgzl sil smnza lmn twtq kmrity sitq gqa ims enui rm rjp jd g bntdrjmq rigr igd kttq wtojqc wjdjrmyd rm tnympt vmy gd zmqc gd ptmpzt igwt kttq rygwtzzjqc gymnqa rit umqrjqtqr mnrdjat ritjy msq umnqryl jr dtted twtq tnymptgqd amq r xqms rit gqdsty guumyajqc rm qts pmzzjqc kl lmncmw jq djo tn umnqryjtd kyjrgjq gqa rit nd sityt gd emdr wjdjrmyd xqms knr egl kt ytznurgqr rm guxqmsztact cygrnjrjtd egl egxt np emyt rigq igzv lmny sgjrptydmq d jqumet tnymptgqd gyt attpzl ajwjata mq rjppjqc jq ytdrgnygqrd vmy togepzt mv ytdpmqatqrd jq ctyegql rmza rit pmzzdrty ritl rlpjugzzl rjppta gzemdr rit dget gd rit nd jq rit nx sityt gq mprjmqgz dtywjut uigyct mv gkmnr jd ndngzzl jquznata dgja ritl ztvr g cygrnjrl rit vjcnyt jq dpgjq sityt dtywjut jd mvrtq jquznata jq ytdrgnygqr kjzzd knr ajqtyd ugq ztgwt mprjmqgz rjpd sgd sijzt jq vygqut sityt twtyl pyjut mq g ytdrgnygqr etqn gzytgal jquznatd vmy dtywjut mv ptmpzt dgja ritl ctqtygzzl rjppta mq rmp twtq jq dstatq sityt rjpd gyt ctqtygzzl qmr topturta rit vjcnyt sgd knr mqzl mv jrgzjgqd dgja ritl smnza rlpjugzzl ztgwt g cygrnjrl gvrty g etgz mnr sjri g ygrity cytgrty pympmyrjmq gaejrrjqc ritl qtwty ztvr g utqr g drgyrzjqc mv ytdpmqatqrd jq rit nd imstwty gqa mv ctyegqd kl vgy rit emdr jq tnympt umqvtddta ritl smnza rjp dmetrjetd my mvrtq twtq jv rit dtywjut sgd rtyyjkzt jqajugrjqc rigr vmy dmet rjppjqc jd qmr gkmnr bngzjrl mv dtywjut gr gzz rit vjqajqcd mv rit dnywtl sjzz umet gd g dnypyjdt jq ctyegql g umnqryl rigr amtd qmr ctqtygzzl rijqx mv jrdtzv gd g qgrjmq mv igppl ajdryjknrmyd mv ryjqxctza rit smya jq g djejzgy wtjq rm pmnykmjyt jq vytqui etgqd ayjqxjqc emqtl qmy jd ctyegql g umnqryl simdt dtywjut drgvv gyt pgyrjunzgyzl undrmety vyjtqazl jq ktyzjq g czgdd mv ktty my g pzgrt mv vmma jd mvrtq dtywta jq g invv ygrity rigq sjri g dejzt qmr vmy qmrijqc jd dtywjuts drt atnrduizgqa ctyegql jd g dtywjut atdtyr g rijqc ltr rit agrg ytvzturd g uztgy rytqa ctyegqd rtqa rm igqa mwty g vts toryg umjqd jyytdpturjwt mv ims ritl igwt kttq rytgrta ritl gyt rit qgrjmq jq tnympt ztgdr zjxtzl rm qmr rjp twtq vmy pmmy dtywjut gqa rit emdr sjzzjqc rm pgl toryg vmy gwtygct dtywjut g umqrjqnjqc vmqaqtdd vmy ugdi egl kt g vgurmy sjri egql rgoj ayjwtyd gqa kgyd drjzz ytvndjqc pgletqr kl ugya g cymsjqc gsgytqtdd mv zgkmny dimyrgctd jq rit ugrtyjqc dturmy umnza gzdm topzgjq g uigqct jq grrjrnat sjri egql kgyd gqa ugvtd twtq jq kjc ujrjtd ytanujqc ritjy mptqjqc imnyd ant rm g pmdr pgqateju zgux mv drgvv dmet kgyxttptyd dgl ritjy undrmetyd igwt ytutqrzl ktumet emyt ctqtymnd rjpptyd knr jv ctyegq rjppjqc igkjrd dtte jqcygjqta ritl gyt qmr gzsgld mkdtywta gaajqc jd g ctqtygzzl guutprta ynzt knr qmr gzsgld vmzzmsta emdr undrmetyd pgl et toryg dgja etietr amcgq g ktyzjq rgoj ayjwty knr rit ynzt amtdq r gppzl rm zmqcty fmnyqtld j amq r rijqx j igwt kttq cjwtq g rjp jq ltgyd mv amjqc el fmk jv dmetmqt dzjppta et g vjwty j a gddnet ritl egat g ejdrgxt egrrits dejri lmncmw d itga mv agrg fmnyqgzjde dgja dmet egl kt dnypyjdta kl rit ytwtzgrjmq rigr ctyegqd gyt fndr gd zjxtzl gd getyjugqd rm rjp dtywjut smyxtyd qmr ztgdr ktugndt dtywjut grrjrnatd jq ctyegql igwt pytwjmndzl kttq dm kga rigr rit cmwtyqetqr vtzr rit qtta rm gaaytdd jr ktvmyt rit umnqryl imdrta rit smyza unp jq jrgzl rjhjgqg qjumzmdj sim egqgctd bnjyjqm g kgy gqa ytdrgnygqr jq utqrygz ymet dgja rit umnqryl djepzl amtdq r igwt g unzrnyt vmy rjppjqc st yt qmr zjxt getyjugqd my rit kyjrjdi st ejcir am jr muugdjmqgzzl knr jr d qmr dmetrijqc rigr jd topturta jr jd ygyt rm dtt g rjp kmo kl rit rjzz jq g kgy my ytdrgnygqr jq jrgzl sjri dmet msqtyd attejqc dnui g ajdpzgl nqktumejqc jqdrtga ritl gppytujgrt rit zmlgzrl mv ytcnzgy uzjtqrtzt sim egl muugdjmqgzzl ztgwt g zjrrzt toryg gvrty ritjy ayjqx my etgz jq ytumcqjrjmq mv bngzjrl gqa dtywjut ygrity rigq mnr mv mkzjcgrjmq egql jrgzjgqd imstwty ztgwt rit uigqct gvrty pgljqc g kjzz jv g umvvtt umdrd utqrd ritq g undrmety sjzz ndngzzl cjwt gqa ztr nd xttp rit uigqct dgja yjuugyam umqrj g sgjrty jq ymet vmy dmet undrmetyd ztgwjqc rit degzz uigqct jd djepzl g egrrty mv qmr sgqrjqc rm igqc gymnqa it gaata ptydmqgzzl umqrj dgja it knuxd rit rytqa mv qmq rjppjqc jrgzjgqd j gzsgld ztgwt g rjp egjqzl jq kgyd gqa ytdrgnygqrd it dgja gaajqc jr sgd wtyl dnkfturjwt jr gzz atptqad mq rit jqajwjangz jr d g ctdrnyt lmn ejcir dtt emyt vyme ptmpzt jq rit dmnri sim gyt ctqtygzzl emyt sgye gqa ctqtymnd rigq jq rit qmyri ytvtytqut ctyegqd ktdr rjpptyd jq tnympt vjqad pmzz jrgzjgqd qmr dm enui rit cngyajgq dgr fnqt\n",
      "Not updating anymore after iteration 27\n",
      "Iter 0 of start 1: vr qzcytrl vw gzzyg wf mz uczwwl yipe tiwfytwvp uczwwl yipe tnn wez wvyz vr sctrpz trb gutvr vw tnn bzuzrbg uczgiytmnl fr gfpvtn gimwnzwvzg wetw lfi etkz wf mz sczrpe fc gutrvge wf irbzcgwtrb vr vwtnl del dfinb lfi zkzr mfwezc dezr trb efd yipe wf wvu vg t jizgwvfr wetw etg mzzr kzovrq kvgvwfcg wf zicfuz sfc tg nfrq tg uzfunz etkz mzzr wctkznnvrq tcfirb wez pfrwvrzrw fiwgvbz wezvc fdr pfirwcl vw gzzyg zkzr zicfuztrg bfr w xrfd wez trgdzc tppfcbvrq wf rzd ufnnvrq ml lfiqfk vr gvo zi pfirwcvzg mcvwtvr trb wez ig dezcz tg yfgw kvgvwfcg xrfd miw ytl mz cznipwtrw wf tpxrfdnzbqz qctwivwvzg ytl ytxz iu yfcz wetr etns lfic dtvwuzcgfr g vrpfyz zicfuztrg tcz bzzunl bvkvbzb fr wvuuvrq vr czgwtictrwg sfc zotyunz fs czgufrbzrwg vr qzcytrl wfnb wez ufnngwzc wezl wluvptnnl wvuuzb tnyfgw wez gtyz tg wez ig vr wez ix dezcz tr fuwvfrtn gzckvpz petcqz fs tmfiw vg igitnnl vrpnibzb gtvb wezl nzsw t qctwivwl wez svqicz vr gutvr dezcz gzckvpz vg fswzr vrpnibzb vr czgwtictrw mvnng miw bvrzcg ptr nztkz fuwvfrtn wvug dtg devnz vr sctrpz dezcz zkzcl ucvpz fr t czgwtictrw yzri tncztbl vrpnibzg sfc gzckvpz fs uzfunz gtvb wezl qzrzctnnl wvuuzb fr wfu zkzr vr gdzbzr dezcz wvug tcz qzrzctnnl rfw zouzpwzb wez svqicz dtg miw frnl fs vwtnvtrg gtvb wezl dfinb wluvptnnl nztkz t qctwivwl tswzc t yztn fiw dvwe t ctwezc qcztwzc ucfufcwvfr tbyvwwvrq wezl rzkzc nzsw t pzrw t gwtcwnvrq fs czgufrbzrwg vr wez ig efdzkzc trb fs qzcytrg ml stc wez yfgw vr zicfuz pfrszggzb wezl dfinb wvu gfyzwvyzg fc fswzr zkzr vs wez gzckvpz dtg wzccvmnz vrbvptwvrq wetw sfc gfyz wvuuvrq vg rfw tmfiw jitnvwl fs gzckvpz tw tnn wez svrbvrqg fs wez gickzl dvnn pfyz tg t gicucvgz vr qzcytrl t pfirwcl wetw bfzg rfw qzrzctnnl wevrx fs vwgzns tg t rtwvfr fs etuul bvgwcvmiwfcg fs wcvrxqznb wez dfcb vr t gvyvntc kzvr wf uficmfvcz vr sczrpe yztrg bcvrxvrq yfrzl rfc vg qzcytrl t pfirwcl defgz gzckvpz gwtss tcz utcwvpintcnl pigwfyzc scvzrbnl vr mzcnvr t qntgg fs mzzc fc t untwz fs sffb vg fswzr gzckzb vr t eiss ctwezc wetr dvwe t gyvnz rfw sfc rfwevrq vg gzckvpzd gwz bziwgpentrb qzcytrl vg t gzckvpz bzgzcw t wevrq lzw wez btwt czsnzpwg t pnztc wczrb qzcytrg wzrb wf etrb fkzc t szd zowct pfvrg vcczguzpwvkz fs efd wezl etkz mzzr wcztwzb wezl tcz wez rtwvfr vr zicfuz nztgw nvxznl wf rfw wvu zkzr sfc uffc gzckvpz trb wez yfgw dvnnvrq wf utl zowct sfc tkzctqz gzckvpz t pfrwvrivrq sfrbrzgg sfc ptge ytl mz t stpwfc dvwe ytrl wtov bcvkzcg trb mtcg gwvnn czsigvrq utlyzrw ml ptcb t qcfdvrq tdtczrzgg fs ntmfic gefcwtqzg vr wez ptwzcvrq gzpwfc pfinb tngf zountvr t petrqz vr twwvwibz dvwe ytrl mtcg trb ptszg zkzr vr mvq pvwvzg czbipvrq wezvc fuzrvrq eficg biz wf t ufgw utrbzyvp ntpx fs gwtss gfyz mtcxzzuzcg gtl wezvc pigwfyzcg etkz czpzrwnl mzpfyz yfcz qzrzcfig wvuuzcg miw vs qzcytr wvuuvrq etmvwg gzzy vrqctvrzb wezl tcz rfw tndtlg fmgzckzb tbbvrq vg t qzrzctnnl tppzuwzb cinz miw rfw tndtlg sfnnfdzb yfgw pigwfyzcg utl yz zowct gtvb yzeyzw bfqtr t mzcnvr wtov bcvkzc miw wez cinz bfzgr w tuunl wf nfrqzc hficrzlg v bfr w wevrx v etkz mzzr qvkzr t wvu vr lztcg fs bfvrq yl hfm vs gfyzfrz gnvuuzb yz t svkzc v b tggiyz wezl ytbz t yvgwtxz ytwwezd gyvwe lfiqfk g eztb fs btwt hficrtnvgy gtvb gfyz ytl mz gicucvgzb ml wez czkzntwvfr wetw qzcytrg tcz higw tg nvxznl tg tyzcvptrg wf wvu gzckvpz dfcxzcg rfw nztgw mzptigz gzckvpz twwvwibzg vr qzcytrl etkz uczkvfignl mzzr gf mtb wetw wez qfkzcryzrw sznw wez rzzb wf tbbczgg vw mzsfcz wez pfirwcl efgwzb wez dfcnb piu vr vwtnl wvavtrt rvpfnfgv def ytrtqzg jivcvrf t mtc trb czgwtictrw vr pzrwctn cfyz gtvb wez pfirwcl gvyunl bfzgr w etkz t pinwicz sfc wvuuvrq dz cz rfw nvxz tyzcvptrg fc wez mcvwvge dz yvqew bf vw fpptgvfrtnnl miw vw g rfw gfyzwevrq wetw vg zouzpwzb vw vg ctcz wf gzz t wvu mfo ml wez wvnn vr t mtc fc czgwtictrw vr vwtnl dvwe gfyz fdrzcg bzzyvrq gipe t bvguntl irmzpfyvrq vrgwztb wezl tuuczpvtwz wez nfltnwl fs czqintc pnvzrwznz def ytl fpptgvfrtnnl nztkz t nvwwnz zowct tswzc wezvc bcvrx fc yztn vr czpfqrvwvfr fs jitnvwl trb gzckvpz ctwezc wetr fiw fs fmnvqtwvfr ytrl vwtnvtrg efdzkzc nztkz wez petrqz tswzc utlvrq t mvnn vs t pfsszz pfgwg pzrwg wezr t pigwfyzc dvnn igitnnl qvkz trb nzw ig xzzu wez petrqz gtvb cvpptcbf pfrwv t dtvwzc vr cfyz sfc gfyz pigwfyzcg nztkvrq wez gytnn petrqz vg gvyunl t ytwwzc fs rfw dtrwvrq wf etrq tcfirb ez tbbzb uzcgfrtnnl pfrwv gtvb ez mipxg wez wczrb fs rfr wvuuvrq vwtnvtrg v tndtlg nztkz t wvu ytvrnl vr mtcg trb czgwtictrwg ez gtvb tbbvrq vw dtg kzcl gimhzpwvkz vw tnn bzuzrbg fr wez vrbvkvbitn vw g t qzgwicz lfi yvqew gzz yfcz scfy uzfunz vr wez gfiwe def tcz qzrzctnnl yfcz dtcy trb qzrzcfig wetr vr wez rfcwe czszczrpz qzcytrg mzgw wvuuzcg vr zicfuz svrbg ufnn vwtnvtrg rfw gf yipe wez qitcbvtr gtw hirz\n",
      "Iter 0 of start 2: iw vczexwr it qcceq ty nc jzcttr ehsd xhtyextis jzcttr ehsd xll tdc tiec iw ozxwsc xwa qjxiw it xll acjcwaq jzcqhexnlr yw qysixl qhntlcticq tdxt ryh dxuc ty nc ozcwsd yz qjxwiqd ty hwaczqtxwa iw itxlr kdr kyhla ryh cucw nytdcz kdcw xwa dyk ehsd ty tij iq x ghcqtiyw tdxt dxq nccw ucpiwv uiqityzq ty chzyjc oyz xq lywv xq jcyjlc dxuc nccw tzxuclliwv xzyhwa tdc sywtiwcwt yhtqiac tdciz ykw syhwtzr it qcceq cucw chzyjcxwq ayw t fwyk tdc xwqkcz xssyzaiwv ty wck jylliwv nr ryhvyu iw qip ch syhwtzicq nzitxiw xwa tdc hq kdczc xq eyqt uiqityzq fwyk nht exr nc zclhstxwt ty xsfwyklcavc vzxthiticq exr exfc hj eyzc tdxw dxlo ryhz kxitjczqyw q iwsyec chzyjcxwq xzc accjlr aiuiaca yw tijjiwv iw zcqtxhzxwtq oyz cpxejlc yo zcqjywacwtq iw vczexwr tyla tdc jyllqtcz tdcr trjisxllr tijjca xleyqt tdc qxec xq tdc hq iw tdc hf kdczc xw yjtiywxl qczuisc sdxzvc yo xnyht iq hqhxllr iwslhaca qxia tdcr lcot x vzxthitr tdc oivhzc iw qjxiw kdczc qczuisc iq yotcw iwslhaca iw zcqtxhzxwt nillq nht aiwczq sxw lcxuc yjtiywxl tijq kxq kdilc iw ozxwsc kdczc cuczr jzisc yw x zcqtxhzxwt ecwh xlzcxar iwslhacq oyz qczuisc yo jcyjlc qxia tdcr vcwczxllr tijjca yw tyj cucw iw qkcacw kdczc tijq xzc vcwczxllr wyt cpjcstca tdc oivhzc kxq nht ywlr yo itxlixwq qxia tdcr kyhla trjisxllr lcxuc x vzxthitr xotcz x ecxl yht kitd x zxtdcz vzcxtcz jzyjyztiyw xaeittiwv tdcr wcucz lcot x scwt x qtxztliwv yo zcqjywacwtq iw tdc hq dykcucz xwa yo vczexwq nr oxz tdc eyqt iw chzyjc sywocqqca tdcr kyhla tij qyectiecq yz yotcw cucw io tdc qczuisc kxq tczzinlc iwaisxtiwv tdxt oyz qyec tijjiwv iq wyt xnyht ghxlitr yo qczuisc xt xll tdc oiwaiwvq yo tdc qhzucr kill syec xq x qhzjziqc iw vczexwr x syhwtzr tdxt aycq wyt vcwczxllr tdiwf yo itqclo xq x wxtiyw yo dxjjr aiqtzinhtyzq yo tziwfvcla tdc kyza iw x qieilxz uciw ty jyhznyizc iw ozcwsd ecxwq aziwfiwv eywcr wyz iq vczexwr x syhwtzr kdyqc qczuisc qtxoo xzc jxztishlxzlr shqtyecz ozicwalr iw nczliw x vlxqq yo nccz yz x jlxtc yo oyya iq yotcw qczuca iw x dhoo zxtdcz tdxw kitd x qeilc wyt oyz wytdiwv iq qczuisck qtc achtqsdlxwa vczexwr iq x qczuisc acqczt x tdiwv rct tdc axtx zcolcstq x slcxz tzcwa vczexwq tcwa ty dxwa yucz x ock cptzx syiwq izzcqjcstiuc yo dyk tdcr dxuc nccw tzcxtca tdcr xzc tdc wxtiyw iw chzyjc lcxqt lifclr ty wyt tij cucw oyz jyyz qczuisc xwa tdc eyqt killiwv ty jxr cptzx oyz xuczxvc qczuisc x sywtiwhiwv oywawcqq oyz sxqd exr nc x oxstyz kitd exwr txpi aziuczq xwa nxzq qtill zcohqiwv jxrecwt nr sxza x vzykiwv xkxzcwcqq yo lxnyhz qdyztxvcq iw tdc sxtcziwv qcstyz syhla xlqy cpjlxiw x sdxwvc iw xttithac kitd exwr nxzq xwa sxocq cucw iw niv siticq zcahsiwv tdciz yjcwiwv dyhzq ahc ty x jyqt jxwaceis lxsf yo qtxoo qyec nxzfccjczq qxr tdciz shqtyeczq dxuc zcscwtlr ncsyec eyzc vcwczyhq tijjczq nht io vczexw tijjiwv dxnitq qcce iwvzxiwca tdcr xzc wyt xlkxrq ynqczuca xaaiwv iq x vcwczxllr xsscjtca zhlc nht wyt xlkxrq oyllykca eyqt shqtyeczq jxr ec cptzx qxia ecdect ayvxw x nczliw txpi aziucz nht tdc zhlc aycqw t xjjlr ty lywvcz byhzwcrq i ayw t tdiwf i dxuc nccw viucw x tij iw rcxzq yo ayiwv er byn io qyecywc qlijjca ec x oiucz i a xqqhec tdcr exac x eiqtxfc exttdck qeitd ryhvyu q dcxa yo axtx byhzwxliqe qxia qyec exr nc qhzjziqca nr tdc zcuclxtiyw tdxt vczexwq xzc bhqt xq lifclr xq xeczisxwq ty tij qczuisc kyzfczq wyt lcxqt ncsxhqc qczuisc xttithacq iw vczexwr dxuc jzcuiyhqlr nccw qy nxa tdxt tdc vyuczwecwt oclt tdc wcca ty xaazcqq it ncoyzc tdc syhwtzr dyqtca tdc kyzla shj iw itxlr timixwx wisylyqi kdy exwxvcq ghiziwy x nxz xwa zcqtxhzxwt iw scwtzxl zyec qxia tdc syhwtzr qiejlr aycqw t dxuc x shlthzc oyz tijjiwv kc zc wyt lifc xeczisxwq yz tdc nzitiqd kc eivdt ay it yssxqiywxllr nht it q wyt qyectdiwv tdxt iq cpjcstca it iq zxzc ty qcc x tij nyp nr tdc till iw x nxz yz zcqtxhzxwt iw itxlr kitd qyec ykwczq acceiwv qhsd x aiqjlxr hwncsyeiwv iwqtcxa tdcr xjjzcsixtc tdc lyrxltr yo zcvhlxz slicwtclc kdy exr yssxqiywxllr lcxuc x littlc cptzx xotcz tdciz aziwf yz ecxl iw zcsyvwitiyw yo ghxlitr xwa qczuisc zxtdcz tdxw yht yo ynlivxtiyw exwr itxlixwq dykcucz lcxuc tdc sdxwvc xotcz jxriwv x nill io x syoocc syqtq scwtq tdcw x shqtyecz kill hqhxllr viuc xwa lct hq fccj tdc sdxwvc qxia zissxzay sywti x kxitcz iw zyec oyz qyec shqtyeczq lcxuiwv tdc qexll sdxwvc iq qiejlr x exttcz yo wyt kxwtiwv ty dxwv xzyhwa dc xaaca jczqywxllr sywti qxia dc nhsfq tdc tzcwa yo wyw tijjiwv itxlixwq i xlkxrq lcxuc x tij exiwlr iw nxzq xwa zcqtxhzxwtq dc qxia xaaiwv it kxq uczr qhnbcstiuc it xll acjcwaq yw tdc iwaiuiahxl it q x vcqthzc ryh eivdt qcc eyzc ozye jcyjlc iw tdc qyhtd kdy xzc vcwczxllr eyzc kxze xwa vcwczyhq tdxw iw tdc wyztd zcoczcwsc vczexwq ncqt tijjczq iw chzyjc oiwaq jyll itxlixwq wyt qy ehsd tdc vhxzaixw qxt bhwc\n",
      "Iter 0 of start 3: cs itknqse cm xttnx mz ft hktmme nbuj qbmznqmcu hktmme nbuj qyy mjt mcnt cs vkqsut qsg xhqcs cm qyy gthtsgx hktxbnqfye zs xzucqy xbfmytmctx mjqm ezb jqrt mz ft vktsuj zk xhqscxj mz bsgtkxmqsg cs cmqye lje lzbyg ezb trts fzmjtk ljts qsg jzl nbuj mz mch cx q wbtxmczs mjqm jqx ftts rtocsi rcxcmzkx mz tbkzht vzk qx yzsi qx htzhyt jqrt ftts mkqrtyycsi qkzbsg mjt uzsmcstsm zbmxcgt mjtck zls uzbsmke cm xttnx trts tbkzhtqsx gzs m pszl mjt qsxltk quuzkgcsi mz stl hzyycsi fe ezbizr cs xco tb uzbsmkctx fkcmqcs qsg mjt bx ljtkt qx nzxm rcxcmzkx pszl fbm nqe ft ktybumqsm mz qupszlytgit ikqmbcmctx nqe nqpt bh nzkt mjqs jqyv ezbk lqcmhtkxzs x csuznt tbkzhtqsx qkt gtthye gcrcgtg zs mchhcsi cs ktxmqbkqsmx vzk toqnhyt zv ktxhzsgtsmx cs itknqse mzyg mjt hzyyxmtk mjte mehcuqyye mchhtg qynzxm mjt xqnt qx mjt bx cs mjt bp ljtkt qs zhmczsqy xtkrcut ujqkit zv qfzbm cx bxbqyye csuybgtg xqcg mjte ytvm q ikqmbcme mjt vcibkt cs xhqcs ljtkt xtkrcut cx zvmts csuybgtg cs ktxmqbkqsm fcyyx fbm gcstkx uqs ytqrt zhmczsqy mchx lqx ljcyt cs vkqsut ljtkt trtke hkcut zs q ktxmqbkqsm ntsb qyktqge csuybgtx vzk xtkrcut zv htzhyt xqcg mjte itstkqyye mchhtg zs mzh trts cs xltgts ljtkt mchx qkt itstkqyye szm tohtumtg mjt vcibkt lqx fbm zsye zv cmqycqsx xqcg mjte lzbyg mehcuqyye ytqrt q ikqmbcme qvmtk q ntqy zbm lcmj q kqmjtk iktqmtk hkzhzkmczs qgncmmcsi mjte strtk ytvm q utsm q xmqkmycsi zv ktxhzsgtsmx cs mjt bx jzltrtk qsg zv itknqsx fe vqk mjt nzxm cs tbkzht uzsvtxxtg mjte lzbyg mch xzntmcntx zk zvmts trts cv mjt xtkrcut lqx mtkkcfyt csgcuqmcsi mjqm vzk xznt mchhcsi cx szm qfzbm wbqycme zv xtkrcut qm qyy mjt vcsgcsix zv mjt xbkrte lcyy uznt qx q xbkhkcxt cs itknqse q uzbsmke mjqm gztx szm itstkqyye mjcsp zv cmxtyv qx q sqmczs zv jqhhe gcxmkcfbmzkx zv mkcspityg mjt lzkg cs q xcncyqk rtcs mz hzbkfzckt cs vktsuj ntqsx gkcspcsi nzste szk cx itknqse q uzbsmke ljzxt xtkrcut xmqvv qkt hqkmcubyqkye ubxmzntk vkctsgye cs ftkycs q iyqxx zv fttk zk q hyqmt zv vzzg cx zvmts xtkrtg cs q jbvv kqmjtk mjqs lcmj q xncyt szm vzk szmjcsi cx xtkrcutl xmt gtbmxujyqsg itknqse cx q xtkrcut gtxtkm q mjcsi etm mjt gqmq ktvytumx q uytqk mktsg itknqsx mtsg mz jqsg zrtk q vtl tomkq uzcsx ckktxhtumcrt zv jzl mjte jqrt ftts mktqmtg mjte qkt mjt sqmczs cs tbkzht ytqxm ycptye mz szm mch trts vzk hzzk xtkrcut qsg mjt nzxm lcyycsi mz hqe tomkq vzk qrtkqit xtkrcut q uzsmcsbcsi vzsgstxx vzk uqxj nqe ft q vqumzk lcmj nqse mqoc gkcrtkx qsg fqkx xmcyy ktvbxcsi hqentsm fe uqkg q ikzlcsi qlqktstxx zv yqfzbk xjzkmqitx cs mjt uqmtkcsi xtumzk uzbyg qyxz tohyqcs q ujqsit cs qmmcmbgt lcmj nqse fqkx qsg uqvtx trts cs fci ucmctx ktgbucsi mjtck zhtscsi jzbkx gbt mz q hzxm hqsgtncu yqup zv xmqvv xznt fqkptthtkx xqe mjtck ubxmzntkx jqrt ktutsmye ftuznt nzkt itstkzbx mchhtkx fbm cv itknqs mchhcsi jqfcmx xttn csikqcstg mjte qkt szm qylqex zfxtkrtg qggcsi cx q itstkqyye quuthmtg kbyt fbm szm qylqex vzyyzltg nzxm ubxmzntkx hqe nt tomkq xqcg ntjntm gziqs q ftkycs mqoc gkcrtk fbm mjt kbyt gztxs m qhhye mz yzsitk dzbkstex c gzs m mjcsp c jqrt ftts icrts q mch cs etqkx zv gzcsi ne dzf cv xzntzst xychhtg nt q vcrtk c g qxxbnt mjte nqgt q ncxmqpt nqmmjtl xncmj ezbizr x jtqg zv gqmq dzbksqycxn xqcg xznt nqe ft xbkhkcxtg fe mjt ktrtyqmczs mjqm itknqsx qkt dbxm qx ycptye qx qntkcuqsx mz mch xtkrcut lzkptkx szm ytqxm ftuqbxt xtkrcut qmmcmbgtx cs itknqse jqrt hktrczbxye ftts xz fqg mjqm mjt izrtksntsm vtym mjt sttg mz qggktxx cm ftvzkt mjt uzbsmke jzxmtg mjt lzkyg ubh cs cmqye mcacqsq scuzyzxc ljz nqsqitx wbckcsz q fqk qsg ktxmqbkqsm cs utsmkqy kznt xqcg mjt uzbsmke xcnhye gztxs m jqrt q ubymbkt vzk mchhcsi lt kt szm ycpt qntkcuqsx zk mjt fkcmcxj lt ncijm gz cm zuuqxczsqyye fbm cm x szm xzntmjcsi mjqm cx tohtumtg cm cx kqkt mz xtt q mch fzo fe mjt mcyy cs q fqk zk ktxmqbkqsm cs cmqye lcmj xznt zlstkx gttncsi xbuj q gcxhyqe bsftuzncsi csxmtqg mjte qhhktucqmt mjt yzeqyme zv ktibyqk uyctsmtyt ljz nqe zuuqxczsqyye ytqrt q ycmmyt tomkq qvmtk mjtck gkcsp zk ntqy cs ktuziscmczs zv wbqycme qsg xtkrcut kqmjtk mjqs zbm zv zfyciqmczs nqse cmqycqsx jzltrtk ytqrt mjt ujqsit qvmtk hqecsi q fcyy cv q uzvvtt uzxmx utsmx mjts q ubxmzntk lcyy bxbqyye icrt qsg ytm bx ptth mjt ujqsit xqcg kcuuqkgz uzsmc q lqcmtk cs kznt vzk xznt ubxmzntkx ytqrcsi mjt xnqyy ujqsit cx xcnhye q nqmmtk zv szm lqsmcsi mz jqsi qkzbsg jt qggtg htkxzsqyye uzsmc xqcg jt fbupx mjt mktsg zv szs mchhcsi cmqycqsx c qylqex ytqrt q mch nqcsye cs fqkx qsg ktxmqbkqsmx jt xqcg qggcsi cm lqx rtke xbfdtumcrt cm qyy gthtsgx zs mjt csgcrcgbqy cm x q itxmbkt ezb ncijm xtt nzkt vkzn htzhyt cs mjt xzbmj ljz qkt itstkqyye nzkt lqkn qsg itstkzbx mjqs cs mjt szkmj ktvtktsut itknqsx ftxm mchhtkx cs tbkzht vcsgx hzyy cmqycqsx szm xz nbuj mjt ibqkgcqs xqm dbst\n",
      "Not updating anymore after iteration 27\n",
      "Iter 0 of start 1: ly rxfveym ld pxxvp di qx tfxddm vwcz ewdivedlc tfxddm vwcz enn dzx dlvx ly ufeycx eya ptely ld enn axtxyap tfxpwveqnm iy piclen pwqdnxdlxp dzed miw zeox di qx ufxycz if pteylpz di wyaxfpdeya ly ldenm szm siwna miw xoxy qidzxf szxy eya zis vwcz di dlt lp e hwxpdliy dzed zep qxxy oxjlyr olpldifp di xwfitx uif ep niyr ep txitnx zeox qxxy dfeoxnnlyr efiwya dzx ciydlyxyd iwdplax dzxlf isy ciwydfm ld pxxvp xoxy xwfitxeyp aiy d byis dzx eypsxf eccifalyr di yxs tinnlyr qm miwrio ly plj xw ciwydflxp qfldely eya dzx wp szxfx ep vipd olpldifp byis qwd vem qx fxnwcdeyd di ecbyisnxarx rfedwldlxp vem vebx wt vifx dzey zenu miwf seldtxfpiy p lycivx xwfitxeyp efx axxtnm alolaxa iy dlttlyr ly fxpdewfeydp uif xjevtnx iu fxptiyaxydp ly rxfveym dina dzx tinnpdxf dzxm dmtlcennm dlttxa envipd dzx pevx ep dzx wp ly dzx wb szxfx ey itdliyen pxfolcx czefrx iu eqiwd lp wpwennm lycnwaxa pela dzxm nxud e rfedwldm dzx ulrwfx ly ptely szxfx pxfolcx lp iudxy lycnwaxa ly fxpdewfeyd qlnnp qwd alyxfp cey nxeox itdliyen dltp sep szlnx ly ufeycx szxfx xoxfm tflcx iy e fxpdewfeyd vxyw enfxeam lycnwaxp uif pxfolcx iu txitnx pela dzxm rxyxfennm dlttxa iy dit xoxy ly psxaxy szxfx dltp efx rxyxfennm yid xjtxcdxa dzx ulrwfx sep qwd iynm iu ldenleyp pela dzxm siwna dmtlcennm nxeox e rfedwldm eudxf e vxen iwd sldz e fedzxf rfxedxf tfitifdliy eavlddlyr dzxm yxoxf nxud e cxyd e pdefdnlyr iu fxptiyaxydp ly dzx wp zisxoxf eya iu rxfveyp qm uef dzx vipd ly xwfitx ciyuxppxa dzxm siwna dlt pivxdlvxp if iudxy xoxy lu dzx pxfolcx sep dxfflqnx lyalcedlyr dzed uif pivx dlttlyr lp yid eqiwd hwenldm iu pxfolcx ed enn dzx ulyalyrp iu dzx pwfoxm slnn civx ep e pwftflpx ly rxfveym e ciwydfm dzed aixp yid rxyxfennm dzlyb iu ldpxnu ep e yedliy iu zettm alpdflqwdifp iu dflybrxna dzx sifa ly e plvlnef oxly di tiwfqilfx ly ufxycz vxeyp aflyblyr viyxm yif lp rxfveym e ciwydfm szipx pxfolcx pdeuu efx tefdlcwnefnm cwpdivxf uflxyanm ly qxfnly e rnepp iu qxxf if e tnedx iu uiia lp iudxy pxfoxa ly e zwuu fedzxf dzey sldz e pvlnx yid uif yidzlyr lp pxfolcxs pdx axwdpczneya rxfveym lp e pxfolcx axpxfd e dzlyr mxd dzx aede fxunxcdp e cnxef dfxya rxfveyp dxya di zeya ioxf e uxs xjdfe cilyp lffxptxcdlox iu zis dzxm zeox qxxy dfxedxa dzxm efx dzx yedliy ly xwfitx nxepd nlbxnm di yid dlt xoxy uif tiif pxfolcx eya dzx vipd slnnlyr di tem xjdfe uif eoxferx pxfolcx e ciydlywlyr uiyayxpp uif cepz vem qx e uecdif sldz veym dejl afloxfp eya qefp pdlnn fxuwplyr temvxyd qm cefa e rfislyr esefxyxpp iu neqiwf pzifderxp ly dzx cedxflyr pxcdif ciwna enpi xjtnely e czeyrx ly eddldwax sldz veym qefp eya ceuxp xoxy ly qlr cldlxp fxawclyr dzxlf itxylyr ziwfp awx di e tipd teyaxvlc necb iu pdeuu pivx qefbxxtxfp pem dzxlf cwpdivxfp zeox fxcxydnm qxcivx vifx rxyxfiwp dlttxfp qwd lu rxfvey dlttlyr zeqldp pxxv lyrfelyxa dzxm efx yid ensemp iqpxfoxa eaalyr lp e rxyxfennm eccxtdxa fwnx qwd yid ensemp uinnisxa vipd cwpdivxfp tem vx xjdfe pela vxzvxd airey e qxfnly dejl afloxf qwd dzx fwnx aixpy d ettnm di niyrxf giwfyxmp l aiy d dzlyb l zeox qxxy rloxy e dlt ly mxefp iu ailyr vm giq lu pivxiyx pnlttxa vx e uloxf l a eppwvx dzxm veax e vlpdebx veddzxs pvldz miwrio p zxea iu aede giwfyenlpv pela pivx vem qx pwftflpxa qm dzx fxoxnedliy dzed rxfveyp efx gwpd ep nlbxnm ep evxflceyp di dlt pxfolcx sifbxfp yid nxepd qxcewpx pxfolcx eddldwaxp ly rxfveym zeox tfxoliwpnm qxxy pi qea dzed dzx rioxfyvxyd uxnd dzx yxxa di eaafxpp ld qxuifx dzx ciwydfm zipdxa dzx sifna cwt ly ldenm dlkleye ylcinipl szi veyerxp hwlflyi e qef eya fxpdewfeyd ly cxydfen fivx pela dzx ciwydfm plvtnm aixpy d zeox e cwndwfx uif dlttlyr sx fx yid nlbx evxflceyp if dzx qfldlpz sx vlrzd ai ld iccepliyennm qwd ld p yid pivxdzlyr dzed lp xjtxcdxa ld lp fefx di pxx e dlt qij qm dzx dlnn ly e qef if fxpdewfeyd ly ldenm sldz pivx isyxfp axxvlyr pwcz e alptnem wyqxcivlyr lypdxea dzxm ettfxcledx dzx nimendm iu fxrwnef cnlxydxnx szi vem iccepliyennm nxeox e nlddnx xjdfe eudxf dzxlf aflyb if vxen ly fxciryldliy iu hwenldm eya pxfolcx fedzxf dzey iwd iu iqnlredliy veym ldenleyp zisxoxf nxeox dzx czeyrx eudxf temlyr e qlnn lu e ciuuxx cipdp cxydp dzxy e cwpdivxf slnn wpwennm rlox eya nxd wp bxxt dzx czeyrx pela flccefai ciydl e seldxf ly fivx uif pivx cwpdivxfp nxeolyr dzx pvenn czeyrx lp plvtnm e veddxf iu yid seydlyr di zeyr efiwya zx eaaxa txfpiyennm ciydl pela zx qwcbp dzx dfxya iu yiy dlttlyr ldenleyp l ensemp nxeox e dlt velynm ly qefp eya fxpdewfeydp zx pela eaalyr ld sep oxfm pwqgxcdlox ld enn axtxyap iy dzx lyalolawen ld p e rxpdwfx miw vlrzd pxx vifx ufiv txitnx ly dzx piwdz szi efx rxyxfennm vifx sefv eya rxyxfiwp dzey ly dzx yifdz fxuxfxycx rxfveyp qxpd dlttxfp ly xwfitx ulyap tinn ldenleyp yid pi vwcz dzx rwefaley ped gwyx\n",
      "Iter 0 of start 2: ce juvdfei cg suuds gm ku rvuggi dhpb fhgmdfgcp rvuggi dhpb fxx gbu gcdu ce ovfepu few srfce cg fxx wuruews rvushdfkxi me smpcfx shkgxugcus gbfg imh bfyu gm ku ovuepb mv srfecsb gm hewuvsgfew ce cgfxi abi amhxw imh uyue kmgbuv abue few bma dhpb gm gcr cs f lhusgcme gbfg bfs kuue yuncej ycscgmvs gm uhvmru omv fs xmej fs rumrxu bfyu kuue gvfyuxxcej fvmhew gbu pmegceueg mhgscwu gbucv mae pmhegvi cg suuds uyue uhvmrufes wme g qema gbu fesauv fppmvwcej gm eua rmxxcej ki imhjmy ce scn uh pmhegvcus kvcgfce few gbu hs abuvu fs dmsg ycscgmvs qema khg dfi ku vuxhpgfeg gm fpqemaxuwju jvfghcgcus dfi dfqu hr dmvu gbfe bfxo imhv afcgruvsme s cepmdu uhvmrufes fvu wuurxi wcycwuw me gcrrcej ce vusgfhvfegs omv unfdrxu mo vusrmewuegs ce juvdfei gmxw gbu rmxxsguv gbui gircpfxxi gcrruw fxdmsg gbu sfdu fs gbu hs ce gbu hq abuvu fe mrgcmefx suvycpu pbfvju mo fkmhg cs hshfxxi cepxhwuw sfcw gbui xuog f jvfghcgi gbu ocjhvu ce srfce abuvu suvycpu cs mogue cepxhwuw ce vusgfhvfeg kcxxs khg wceuvs pfe xufyu mrgcmefx gcrs afs abcxu ce ovfepu abuvu uyuvi rvcpu me f vusgfhvfeg dueh fxvufwi cepxhwus omv suvycpu mo rumrxu sfcw gbui jueuvfxxi gcrruw me gmr uyue ce sauwue abuvu gcrs fvu jueuvfxxi emg unrupguw gbu ocjhvu afs khg mexi mo cgfxcfes sfcw gbui amhxw gircpfxxi xufyu f jvfghcgi foguv f dufx mhg acgb f vfgbuv jvufguv rvmrmvgcme fwdcggcej gbui euyuv xuog f pueg f sgfvgxcej mo vusrmewuegs ce gbu hs bmauyuv few mo juvdfes ki ofv gbu dmsg ce uhvmru pmeoussuw gbui amhxw gcr smdugcdus mv mogue uyue co gbu suvycpu afs guvvckxu cewcpfgcej gbfg omv smdu gcrrcej cs emg fkmhg lhfxcgi mo suvycpu fg fxx gbu ocewcejs mo gbu shvyui acxx pmdu fs f shvrvcsu ce juvdfei f pmhegvi gbfg wmus emg jueuvfxxi gbceq mo cgsuxo fs f efgcme mo bfrri wcsgvckhgmvs mo gvceqjuxw gbu amvw ce f scdcxfv yuce gm rmhvkmcvu ce ovuepb dufes wvceqcej dmeui emv cs juvdfei f pmhegvi abmsu suvycpu sgfoo fvu rfvgcphxfvxi phsgmduv ovcuewxi ce kuvxce f jxfss mo kuuv mv f rxfgu mo ommw cs mogue suvyuw ce f bhoo vfgbuv gbfe acgb f sdcxu emg omv emgbcej cs suvycpua sgu wuhgspbxfew juvdfei cs f suvycpu wusuvg f gbcej iug gbu wfgf vuoxupgs f pxufv gvuew juvdfes guew gm bfew myuv f oua ungvf pmces cvvusrupgcyu mo bma gbui bfyu kuue gvufguw gbui fvu gbu efgcme ce uhvmru xufsg xcquxi gm emg gcr uyue omv rmmv suvycpu few gbu dmsg acxxcej gm rfi ungvf omv fyuvfju suvycpu f pmegcehcej omeweuss omv pfsb dfi ku f ofpgmv acgb dfei gfnc wvcyuvs few kfvs sgcxx vuohscej rfidueg ki pfvw f jvmacej fafvueuss mo xfkmhv sbmvgfjus ce gbu pfguvcej supgmv pmhxw fxsm unrxfce f pbfeju ce fggcghwu acgb dfei kfvs few pfous uyue ce kcj pcgcus vuwhpcej gbucv mruecej bmhvs whu gm f rmsg rfewudcp xfpq mo sgfoo smdu kfvquuruvs sfi gbucv phsgmduvs bfyu vupuegxi kupmdu dmvu jueuvmhs gcrruvs khg co juvdfe gcrrcej bfkcgs suud cejvfceuw gbui fvu emg fxafis mksuvyuw fwwcej cs f jueuvfxxi fppurguw vhxu khg emg fxafis omxxmauw dmsg phsgmduvs rfi du ungvf sfcw dubdug wmjfe f kuvxce gfnc wvcyuv khg gbu vhxu wmuse g frrxi gm xmejuv zmhveuis c wme g gbceq c bfyu kuue jcyue f gcr ce iufvs mo wmcej di zmk co smdumeu sxcrruw du f ocyuv c w fsshdu gbui dfwu f dcsgfqu dfggbua sdcgb imhjmy s bufw mo wfgf zmhvefxcsd sfcw smdu dfi ku shvrvcsuw ki gbu vuyuxfgcme gbfg juvdfes fvu zhsg fs xcquxi fs fduvcpfes gm gcr suvycpu amvquvs emg xufsg kupfhsu suvycpu fggcghwus ce juvdfei bfyu rvuycmhsxi kuue sm kfw gbfg gbu jmyuvedueg ouxg gbu euuw gm fwwvuss cg kuomvu gbu pmhegvi bmsguw gbu amvxw phr ce cgfxi gctcfef ecpmxmsc abm dfefjus lhcvcem f kfv few vusgfhvfeg ce puegvfx vmdu sfcw gbu pmhegvi scdrxi wmuse g bfyu f phxghvu omv gcrrcej au vu emg xcqu fduvcpfes mv gbu kvcgcsb au dcjbg wm cg mppfscmefxxi khg cg s emg smdugbcej gbfg cs unrupguw cg cs vfvu gm suu f gcr kmn ki gbu gcxx ce f kfv mv vusgfhvfeg ce cgfxi acgb smdu maeuvs wuudcej shpb f wcsrxfi hekupmdcej cesgufw gbui frrvupcfgu gbu xmifxgi mo vujhxfv pxcueguxu abm dfi mppfscmefxxi xufyu f xcggxu ungvf foguv gbucv wvceq mv dufx ce vupmjecgcme mo lhfxcgi few suvycpu vfgbuv gbfe mhg mo mkxcjfgcme dfei cgfxcfes bmauyuv xufyu gbu pbfeju foguv rficej f kcxx co f pmoouu pmsgs puegs gbue f phsgmduv acxx hshfxxi jcyu few xug hs quur gbu pbfeju sfcw vcppfvwm pmegc f afcguv ce vmdu omv smdu phsgmduvs xufycej gbu sdfxx pbfeju cs scdrxi f dfgguv mo emg afegcej gm bfej fvmhew bu fwwuw ruvsmefxxi pmegc sfcw bu khpqs gbu gvuew mo eme gcrrcej cgfxcfes c fxafis xufyu f gcr dfcexi ce kfvs few vusgfhvfegs bu sfcw fwwcej cg afs yuvi shkzupgcyu cg fxx wuruews me gbu cewcycwhfx cg s f jusghvu imh dcjbg suu dmvu ovmd rumrxu ce gbu smhgb abm fvu jueuvfxxi dmvu afvd few jueuvmhs gbfe ce gbu emvgb vuouvuepu juvdfes kusg gcrruvs ce uhvmru ocews rmxx cgfxcfes emg sm dhpb gbu jhfvwcfe sfg zheu\n",
      "Iter 0 of start 3: zf vtypnfc za httph ag wt qytaac pslu nsagpnazl qytaac pslu nee aut azpt zf mynflt nfj hqnzf za nee jtqtfjh qythspnwec gf hglzne hswaetazth auna cgs unit ag wt mytflu gy hqnfzhu ag sfjtyhanfj zf zanec duc dgsej cgs titf wgauty dutf nfj ugd pslu ag azq zh n osthazgf auna unh wttf itkzfv izhzagyh ag tsygqt mgy nh egfv nh qtgqet unit wttf ayniteezfv nygsfj aut lgfazftfa gsahzjt autzy gdf lgsfayc za httph titf tsygqtnfh jgf a rfgd aut nfhdty nllgyjzfv ag ftd qgeezfv wc cgsvgi zf hzk ts lgsfayzth wyzanzf nfj aut sh dutyt nh pgha izhzagyh rfgd wsa pnc wt yteslanfa ag nlrfgdetjvt vynaszazth pnc pnrt sq pgyt aunf unem cgsy dnzaqtyhgf h zflgpt tsygqtnfh nyt jttqec jzizjtj gf azqqzfv zf ythansynfah mgy tknpqet gm ythqgfjtfah zf vtypnfc agej aut qgeehaty autc acqzlneec azqqtj nepgha aut hnpt nh aut sh zf aut sr dutyt nf gqazgfne htyizlt lunyvt gm nwgsa zh shsneec zflesjtj hnzj autc etma n vynaszac aut mzvsyt zf hqnzf dutyt htyizlt zh gmatf zflesjtj zf ythansynfa wzeeh wsa jzftyh lnf etnit gqazgfne azqh dnh duzet zf mynflt dutyt tityc qyzlt gf n ythansynfa ptfs neytnjc zflesjth mgy htyizlt gm qtgqet hnzj autc vtftyneec azqqtj gf agq titf zf hdtjtf dutyt azqh nyt vtftyneec fga tkqtlatj aut mzvsyt dnh wsa gfec gm zaneznfh hnzj autc dgsej acqzlneec etnit n vynaszac nmaty n ptne gsa dzau n ynauty vytnaty qygqgyazgf njpzaazfv autc ftity etma n ltfa n hanyaezfv gm ythqgfjtfah zf aut sh ugdtity nfj gm vtypnfh wc mny aut pgha zf tsygqt lgfmthhtj autc dgsej azq hgptazpth gy gmatf titf zm aut htyizlt dnh atyyzwet zfjzlnazfv auna mgy hgpt azqqzfv zh fga nwgsa osnezac gm htyizlt na nee aut mzfjzfvh gm aut hsyitc dzee lgpt nh n hsyqyzht zf vtypnfc n lgsfayc auna jgth fga vtftyneec auzfr gm zahtem nh n fnazgf gm unqqc jzhayzwsagyh gm ayzfrvtej aut dgyj zf n hzpzeny itzf ag qgsywgzyt zf mytflu ptnfh jyzfrzfv pgftc fgy zh vtypnfc n lgsfayc dught htyizlt hanmm nyt qnyazlsenyec lshagpty myztfjec zf wtyezf n venhh gm wtty gy n qenat gm mggj zh gmatf htyitj zf n usmm ynauty aunf dzau n hpzet fga mgy fgauzfv zh htyizltd hat jtsahluenfj vtypnfc zh n htyizlt jthtya n auzfv cta aut jnan ytmetlah n letny aytfj vtypnfh atfj ag unfj gity n mtd tkayn lgzfh zyythqtlazit gm ugd autc unit wttf aytnatj autc nyt aut fnazgf zf tsygqt etnha ezrtec ag fga azq titf mgy qggy htyizlt nfj aut pgha dzeezfv ag qnc tkayn mgy nitynvt htyizlt n lgfazfszfv mgfjfthh mgy lnhu pnc wt n mnlagy dzau pnfc ankz jyzityh nfj wnyh hazee ytmshzfv qncptfa wc lnyj n vygdzfv ndnytfthh gm enwgsy hugyanvth zf aut lnatyzfv htlagy lgsej nehg tkqenzf n lunfvt zf naazasjt dzau pnfc wnyh nfj lnmth titf zf wzv lzazth ytjslzfv autzy gqtfzfv ugsyh jst ag n qgha qnfjtpzl enlr gm hanmm hgpt wnyrttqtyh hnc autzy lshagptyh unit ytltfaec wtlgpt pgyt vtftygsh azqqtyh wsa zm vtypnf azqqzfv unwzah http zfvynzftj autc nyt fga nednch gwhtyitj njjzfv zh n vtftyneec nlltqatj yset wsa fga nednch mgeegdtj pgha lshagptyh qnc pt tkayn hnzj ptupta jgvnf n wtyezf ankz jyzity wsa aut yset jgthf a nqqec ag egfvty xgsyftch z jgf a auzfr z unit wttf vzitf n azq zf ctnyh gm jgzfv pc xgw zm hgptgft hezqqtj pt n mzity z j nhhspt autc pnjt n pzhanrt pnaautd hpzau cgsvgi h utnj gm jnan xgsyfnezhp hnzj hgpt pnc wt hsyqyzhtj wc aut ytitenazgf auna vtypnfh nyt xsha nh ezrtec nh nptyzlnfh ag azq htyizlt dgyrtyh fga etnha wtlnsht htyizlt naazasjth zf vtypnfc unit qytizgshec wttf hg wnj auna aut vgityfptfa mtea aut fttj ag njjythh za wtmgyt aut lgsfayc ughatj aut dgyej lsq zf zanec azbznfn fzlgeghz dug pnfnvth oszyzfg n wny nfj ythansynfa zf ltfayne ygpt hnzj aut lgsfayc hzpqec jgthf a unit n lseasyt mgy azqqzfv dt yt fga ezrt nptyzlnfh gy aut wyzazhu dt pzvua jg za gllnhzgfneec wsa za h fga hgptauzfv auna zh tkqtlatj za zh ynyt ag htt n azq wgk wc aut azee zf n wny gy ythansynfa zf zanec dzau hgpt gdftyh jttpzfv hslu n jzhqenc sfwtlgpzfv zfhatnj autc nqqytlznat aut egcneac gm ytvseny leztfatet dug pnc gllnhzgfneec etnit n ezaaet tkayn nmaty autzy jyzfr gy ptne zf ytlgvfzazgf gm osnezac nfj htyizlt ynauty aunf gsa gm gwezvnazgf pnfc zaneznfh ugdtity etnit aut lunfvt nmaty qnczfv n wzee zm n lgmmtt lghah ltfah autf n lshagpty dzee shsneec vzit nfj eta sh rttq aut lunfvt hnzj yzllnyjg lgfaz n dnzaty zf ygpt mgy hgpt lshagptyh etnizfv aut hpnee lunfvt zh hzpqec n pnaaty gm fga dnfazfv ag unfv nygsfj ut njjtj qtyhgfneec lgfaz hnzj ut wslrh aut aytfj gm fgf azqqzfv zaneznfh z nednch etnit n azq pnzfec zf wnyh nfj ythansynfah ut hnzj njjzfv za dnh ityc hswxtlazit za nee jtqtfjh gf aut zfjzizjsne za h n vthasyt cgs pzvua htt pgyt mygp qtgqet zf aut hgsau dug nyt vtftyneec pgyt dnyp nfj vtftygsh aunf zf aut fgyau ytmtytflt vtypnfh wtha azqqtyh zf tsygqt mzfjh qgee zaneznfh fga hg pslu aut vsnyjznf hna xsft\n",
      "Not updating anymore after iteration 27\n",
      "Iter 0 of start 1: mchmrc ht wceqcaj cpahmc v rvjkdjg wve fvkc qlde fhajdjg\n",
      "Iter 0 of start 2: fzyftz yl wzeszub zouyfz h thbkpbd whe jhkz smpe jyubpbd\n",
      "Iter 0 of start 3: gorgeo rv foqcods oldrgo a easijsx faq maio cpjq mrdsjsx\n",
      "Not updating anymore after iteration 56\n",
      "Iter 0 of start 1: pbkpyb kf vblebqn bsqkpb w ywnjtnh vwl iwjb eztl ikqntnh\n",
      "Iter 0 of start 2: oufobu fy kuntuga upgfou c bcamrai kcn jcmu tqrn jfgarai\n",
      "Iter 0 of start 3: hbghzb gu tbpkbei bweghb d zdicrif tdp xdcb klrp xgeirif\n",
      "Not updating anymore after iteration 56\n",
      "Iter 0 of start 1: vqcvoq cb kqduqsw qhscvq p opwmfwe kpd rpmq utfd rcswfwe\n",
      "Iter 0 of start 2: rkwrgk wf ekxykvo kpvwrk a gaonjom eax zank ycjx zwvojom\n",
      "Iter 0 of start 3: gkdgsk dh rkolkfz kyfdgk a sazpmzj rao bapk lxmo bdfzmzj\n",
      "Not updating anymore after iteration 56\n",
      "Iter 0 of start 1: wsvwes vj asycsrf strvws l elfhkfm aly zlhs cuky zvrfkfm vf cus pvlyc vj jrlfps od crvvwy vj cus leeksh sbwshkckvflrd jvrps cuky elfhkfm ky\n",
      "Iter 0 of start 2: noinbo ia cojdozs owzino f bfskesy cfj qfko dgej qizsesy is dgo pifjd ia azfspo lh dziinj ia dgo fbbeok ovnokedeisfzh aizpo dgej bfskesy ej\n",
      "Iter 0 of start 3: frsfwr su irjcrby rvbsfr l wlydayk ilj oldr cgaj osbyayk sy cgr msljc su ublymr et cbssfj su cgr lwward rzfrdacasylbt usbmr cgaj wlydayk aj\n",
      "Not updating anymore after iteration 69\n",
      "Iter 0 of start 1: obpoxb pt fbdrbnl bznpob j xjlhkls fjd ujhb rckd upnlkls pl rcb ypjdr pt tnjlyb vg rnppod pt rcb jxxkbh bmobhkrkpljng tpnyb rckd xjlhkls kd\n",
      "Iter 0 of start 2: ubeucb es mbqobrn byreub z cznjxng mzq hzjb okxq hernxng en okb vezqo es srznvb it oreeuq es okb zccxbj bwubjxoxenzrt servb okxq cznjxng xq\n",
      "Iter 0 of start 3: fhkfih kp nhubhvg hwvkfh s isgxogl nsu csxh baou ckvgogl kg bah jksub kp pvsgjh zq bvkkfu kp bah siiohx htfhxobokgsvq pkvjh baou isgxogl ou\n",
      "Not updating anymore after iteration 69\n",
      "Iter 0 of start 1: usqubs qd vsxosai scaqus z bziflig vzx ezfs oplx eqailig qi ops yqzxo qd daziys mj oaqqux qd ops zbblsf swusflolqizaj dqays oplx bziflig lx\n",
      "Iter 0 of start 2: ndoned og tdmpdxi dzxond v eviruic tvm jvrd paum joxiuic oi pad yovmp og gxviyd wq pxoonm og pad veeudr dfndrupuoivxq goxyd paum eviruic um\n",
      "Iter 0 of start 3: tkvtwk vl fkipksq kbsvtk z wzqugqr fzi jzuk pogi jvsqgqr vq pok evzip vl lszqek yd psvvti vl pok zwwgku kxtkugpgvqzsd lvsek pogi wzqugqr gi\n",
      "Not updating anymore after iteration 69\n",
      "Iter 0 of start 1: syusry ua mygeyqk ytqusy w rwkhokv mwg cwhy elog cuqkokv uk ely xuwge ua aqwkxy pf equusg ua ely wrroyh ynsyhoeoukwqf auqxy elog rwkhokv og swqe ua ely xukxyqeyh tkoeyh kweoukg srwk auq ely ropyqweouk ua ytqusy cwhy ok xukjtkxeouk moel utq vqywe qtggowk wrroyg o lwzy elog cyggwvy auq\n",
      "Iter 0 of start 2: niwnmi wx pidqigo itgwni y myoezoh pyd byei quzd bwgozoh wo qui lwydq wx xgyoli cs qgwwnd wx qui ymmzie ikniezqzwoygs xwgli quzd myoezoh zd nygq wx qui lwoligqie tozqie oyqzwod nmyo xwg qui mzcigyqzwo wx itgwni byei zo lwojtolqzwo pzqu wtg hgiyq gtddzyo ymmzid z uyfi quzd biddyhi xwg\n",
      "Iter 0 of start 3: vibvwi bo gitcifn ixfbvi h whnrlny ght ehri cplt ebfnlny bn cpi jbhtc bo ofhnji ad cfbbvt bo cpi hwwlir isvirlclbnhfd obfji cplt whnrlny lt vhfc bo cpi jbnjifcir xnlcir nhclbnt vwhn obf cpi wlaifhclbn bo ixfbvi ehri ln jbnzxnjclbn glcp bxf yfihc fxttlhn hwwlit l phmi cplt eitthyi obf\n",
      "Not updating anymore after iteration 45\n",
      "Iter 0 of start 1: udvutd vq hdpndxz dyxvud e tezfrzi hep lefd ngrp lvxzrzi vz ngd svepn vq qxezsd wk nxvvup vq ngd ettrdf dcudfrnrvzexk qvxsd ngrp tezfrzi rp uexn vq ngd svzsdxndf yzrndf zenrvzp utez qvx ngd trwdxenrvz vq dyxvud lefd rz svzbyzsnrvz hrng vyx ixden xypprez ettrdp r gemd ngrp ldppeid qvx\n",
      "Iter 0 of start 2: sovsho vx pojuobr oibvso k hkrwcrd pkj qkwo uzcj qvbrcrd vr uzo mvkju vx xbkrmo tn ubvvsj vx uzo khhcow oasowcucvrkbn xvbmo uzcj hkrwcrd cj skbu vx uzo mvrmobuow ircuow rkucvrj shkr xvb uzo hctobkucvr vx oibvso qkwo cr mvryirmucvr pcuz vib dboku bijjckr khhcoj c zkeo uzcj qojjkdo xvb\n",
      "Iter 0 of start 3: xwhxpw ha rwfywdv wmdhxw l plvuzvi rlf nluw yozf nhdvzvi hv yow thlfy ha adlvtw bj ydhhxf ha yow lppzwu wgxwuzyzhvldj ahdtw yozf plvuzvi zf xldy ha yow thvtwdywu mvzywu vlyzhvf xplv ahd yow pzbwdlyzhv ha wmdhxw nluw zv thvsmvtyzhv rzyo hmd idwly dmffzlv lppzwf z olqw yozf nwffliw ahd\n",
      "Not updating anymore after iteration 45\n",
      "Iter 0 of start 1: eoceho cs forboji oajceo q hqitwid fqr uqto bvwr ucjiwid ci bvo zcqrb cs sjqizo lg bjccer cs bvo qhhwot oyeotwbwciqjg scjzo bvwr hqitwid wr eqjb cs bvo zcizojbot aiwbot iqbwcir ehqi scj bvo hwlojqbwci cs oajceo uqto wi zcimaizbwci fwbv caj djoqb jarrwqi qhhwor w vqxo bvwr uorrqdo scj\n",
      "Iter 0 of start 2: qkwqyk wi bkugkpc klpwqk f yfcnecj bfu rfnk gzeu rwpcecj wc gzk swfug wi ipfcsk xm gpwwqu wi gzk fyyekn khqknegewcfpm iwpsk gzeu yfcnecj eu qfpg wi gzk swcskpgkn lcegkn cfgewcu qyfc iwp gzk yexkpfgewc wi klpwqk rfnk ec swctlcsgewc begz wlp jpkfg pluuefc fyyeku e zfdk gzeu rkuufjk iwp\n",
      "Iter 0 of start 3: pcgpoc gz jcmycft chfgpc d odtaite jdm xdac ywim xgftite gt ywc vgdmy gz zfdtvc nq yfggpm gz ywc dooica cspcaiyigtdfq zgfvc ywim odtaite im pdfy gz ywc vgtvcfyca htiyca tdyigtm podt zgf ywc oincfdyigt gz chfgpc xdac it vgtlhtvyigt jiyw ghf efcdy fhmmidt dooicm i wdbc ywim xcmmdec zgf\n",
      "Not updating anymore after iteration 45\n",
      "Iter 0 of start 1: gpjgtp jq wpxhpfr pnfjgp k tkrelrb wkx vkep hmlx vjfrlrb jr hmp sjkxh jq qfkrsp ia hfjjgx jq hmp kttlpe pdgpelhljrkfa qjfsp hmlx tkrelrb lx gkfh jq hmp sjrspfhpe nrlhpe rkhljrx gtkr qjf hmp tlipfkhljr jq pnfjgp vkep lr sjrunrshljr wlhm jnf bfpkh fnxxlkr kttlpx l mkop hmlx vpxxkbp qjf ktt jq ajn kthmjnbm hmp lrlhlkt kxxknth vka rjh mkop ippr vkep lr ajnf jwr sjnrhfa hmp mjnf jq ajnf tlipfkhljr lx kggfjksmlrb ktt gkhfljhx vpr kre wjvpr ajnrb kre jte mkop k gkfh hj gtka lr hmp ksmlpopvprh jq qlrkt olshjfa hj vpvipfx jq fpxlxhkrsp vjopvprhx l xka qjttjw\n",
      "Iter 0 of start 2: eglemg li qgxugka gpkleg c mcahoan qcx schg ujox slkaoan la ujg flcxu li ikcafg vr ukllex li ujg cmmogh gteghouolackr ilkfg ujox mcahoan ox ecku li ujg flafgkugh paough acuolax emca ilk ujg movgkcuola li gpkleg schg oa flawpafuola qouj lpk nkgcu kpxxoca cmmogx o jcbg ujox sgxxcng ilk cmm li rlp cmujlpnj ujg oaouocm cxxcpmu scr alu jcbg vgga schg oa rlpk lqa flpaukr ujg jlpk li rlpk movgkcuola ox ceeklcfjoan cmm ecukolux sga cah qlsga rlpan cah lmh jcbg c ecku ul emcr oa ujg cfjogbgsgau li ioacm bofulkr ul sgsvgkx li kgxoxucafg slbgsgaux o xcr ilmmlq\n",
      "Iter 0 of start 3: qunqju nw pushube ucbnqu t jteyiex pts gtyu hmis gnbeiex ne hmu antsh nw wbteau od hbnnqs nw hmu tjjiuy uvquyihinetbd wnbau hmis jteyiex is qtbh nw hmu aneaubhuy ceihuy ethines qjte wnb hmu jioubthine nw ucbnqu gtyu ie anerceahine pihm ncb xbuth bcssite tjjius i mtfu hmis gusstxu wnb tjj nw dnc tjhmncxm hmu ieihitj tsstcjh gtd enh mtfu ouue gtyu ie dncb npe ancehbd hmu mncb nw dncb jioubthine is tqqbntamiex tjj qthbinhs gue tey pngue dncex tey njy mtfu t qtbh hn qjtd ie hmu tamiufugueh nw wietj fiahnbd hn gugoubs nw busishteau gnfuguehs i std wnjjnp\n",
      "Not updating anymore after iteration 29\n",
      "Iter 0 of start 1: xkhxrk hb ekgskmo kumhxk p rpojdov epg lpjk sqdg lhmodov ho sqk ihpgs hb bmpoik ya smhhxg hb sqk prrdkj knxkjdsdhopma bhmik sqdg rpojdov dg xpms hb sqk ihoikmskj uodskj opsdhog xrpo bhm sqk rdykmpsdho hb kumhxk lpjk do ihofuoisdho edsq hum vmkps muggdpo prrdkg d qpwk sqdg lkggpvk bhm prr hb ahu prsqhuvq sqk dodsdpr pggpurs lpa ohs qpwk ykko lpjk do ahum heo ihuosma sqk qhum hb ahum rdykmpsdho dg pxxmhpiqdov prr xpsmdhsg lko poj ehlko ahuov poj hrj qpwk p xpms sh xrpa do sqk piqdkwklkos hb bdopr wdishma sh lklykmg hb mkgdgspoik lhwklkosg d gpa bhrrhe\n",
      "Iter 0 of start 2: tyotly oq nypayde yrdoty f lfewuev nfp xfwy aiup xodeuev oe aiy bofpa oq qdfeby sz adootp oq aiy flluyw ygtywuauoefdz qodby aiup lfewuev up tfda oq aiy boebydayw reuayw efauoep tlfe qod aiy lusydfauoe oq yrdoty xfwy ue boemrebauoe nuai ord vdyfa drppufe flluyp u ifhy aiup xyppfvy qod fll oq zor flaiorvi aiy ueuaufl fppfrla xfz eoa ifhy syye xfwy ue zord one boreadz aiy iord oq zord lusydfauoe up fttdofbiuev fll tfaduoap xye few noxye zorev few olw ifhy f tfda ao tlfz ue aiy fbiuyhyxyea oq quefl hubaodz ao xyxsydp oq dypupafeby xohyxyeap u pfz qollon\n",
      "Iter 0 of start 3: ynwyln wr knsjnux nvuwyn c lcxegxq kcs mcen jtgs mwuxgxq wx jtn iwcsj wr rucxin hz juwwys wr jtn cllgne nbynegjgwxcuz rwuin jtgs lcxegxq gs ycuj wr jtn iwxinujne vxgjne xcjgwxs ylcx rwu jtn lghnucjgwx wr nvuwyn mcen gx iwxpvxijgwx kgjt wvu quncj uvssgcx cllgns g tcon jtgs mnsscqn rwu cll wr zwv cljtwvqt jtn gxgjgcl csscvlj mcz xwj tcon hnnx mcen gx zwvu wkx iwvxjuz jtn twvu wr zwvu lghnucjgwx gs cyyuwcitgxq cll ycjugwjs mnx cxe kwmnx zwvxq cxe wle tcon c ycuj jw ylcz gx jtn citgnonmnxj wr rgxcl ogijwuz jw mnmhnus wr unsgsjcxin mwonmnxjs g scz rwllwk\n",
      "Not updating anymore after iteration 29\n",
      "Iter 0 of start 1: qcwqrc wo jcdvcse cbswqc n rnefzel jnd infc vgzd iwsezel we vgc ywndv wo osneyc um vswwqd wo vgc nrrzcf ckqcfzvzwensm owsyc vgzd rnefzel zd qnsv wo vgc yweycsvcf bezvcf envzwed qrne ows vgc rzucsnvzwe wo cbswqc infc ze yweabeyvzwe jzvg wbs lscnv sbddzne nrrzcd z gnxc vgzd icddnlc ows nrr wo mwb nrvgwblg vgc zezvznr nddnbrv inm ewv gnxc ucce infc ze mwbs wje ywbevsm vgc gwbs wo mwbs rzucsnvzwe zd nqqswnygzel nrr qnvszwvd ice nef jwice mwbel nef wrf gnxc n qnsv vw qrnm ze vgc nygzcxcicev wo ozenr xzyvwsm vw iciucsd wo scdzdvneyc iwxcicevd z dnm owrrwj\n",
      "Iter 0 of start 2: sfmsqf md vfjwfbl fubmsf e qelztli vej hezf wktj hmbltli ml wkf omejw md dbelof px wbmmsj md wkf eqqtfz fasfztwtmlebx dmbof wktj qelztli tj sebw md wkf omlofbwfz ultwfz lewtmlj sqel dmb wkf qtpfbewtml md fubmsf hezf tl omlnulowtml vtwk mub ibfew bujjtel eqqtfj t kerf wktj hfjjeif dmb eqq md xmu eqwkmuik wkf tltwteq ejjeuqw hex lmw kerf pffl hezf tl xmub mvl omulwbx wkf kmub md xmub qtpfbewtml tj essbmeoktli eqq sewbtmwj hfl elz vmhfl xmuli elz mqz kerf e sebw wm sqex tl wkf eoktfrfhflw md dtleq rtowmbx wm hfhpfbj md bfjtjwelof hmrfhflwj t jex dmqqmv\n",
      "Iter 0 of start 3: ibqiob qh lbjkbed bueqib f ofdycda lfj wfyb kmcj wqedcda qd kmb pqfjk qh hefdpb vx keqqij qh kmb foocby bnibyckcqdfex hqepb kmcj ofdycda cj ifek qh kmb pqdpbekby udckby dfkcqdj iofd hqe kmb ocvbefkcqd qh bueqib wfyb cd pqdtudpkcqd lckm que aebfk eujjcfd foocbj c mfrb kmcj wbjjfab hqe foo qh xqu fokmquam kmb cdckcfo fjjfuok wfx dqk mfrb vbbd wfyb cd xque qld pqudkex kmb mque qh xque ocvbefkcqd cj fiieqfpmcda foo ifkecqkj wbd fdy lqwbd xquda fdy qoy mfrb f ifek kq iofx cd kmb fpmcbrbwbdk qh hcdfo rcpkqex kq wbwvbej qh ebjcjkfdpb wqrbwbdkj c jfx hqooql\n",
      "Not updating anymore after iteration 29\n",
      "Iter 0 of start 1: ktokbt op ztmltgs tngokt w bwshfsc zwm jwht lvfm jogsfsc os lvt aowml op pgwsat xe lgookm op lvt wbbfth tukthflfoswge pogat lvfm bwshfsc fm kwgl op lvt aosatglth nsflth swlfosm kbws pog lvt bfxtgwlfos op tngokt jwht fs aosrnsalfos zflv ong cgtwl gnmmfws wbbftm f vwyt lvfm jtmmwct pog wbb op eon wblvoncv lvt fsflfwb wmmwnbl jwe sol vwyt xtts jwht fs eong ozs aonslge lvt vong op eong bfxtgwlfos fm wkkgowavfsc wbb kwlgfolm jts wsh zojts eonsc wsh obh vwyt w kwgl lo kbwe fs lvt wavftytjtsl op pfswb yfaloge lo jtjxtgm op gtmfmlwsat joytjtslm f mwe pobboz lvt fsmlgnalfosm eon vwyt gtatfyth lo kwlgfolm zvo wgt sol jtjxtgm op ogcwsfdth gtmfmlwsat cgonkm f mwe aoslfsnt eong kwmmfyt gtmfmlwsat xnl ho sol stthbtmmbe tshwsctg eong bfytm nslfb f cfyt eon lvt mfcswb lo gfmt wsh mlgfqt lvt tstje lvt hwe zfbb aojt zvts f mvwbb stth eong nsflth mlgtsclv nslfb lvwl hwe f awbb os eon pog lvt vwgh lwmq op hfmafkbfst wsh gtmlgwfsl aflfdtsm op pgwsat f wj kgonh lo vwyt wcwfs nshtg je aojjwsh lvt cwbbwsl pogatm op pgwsat pfcvlfsc xtmfht lvtfg wbbftm lvte zfbb kbwe w zoglve kwgl fs lvt bfxtgwlfos op lvtfg vojtbwsh xtawnmt lvt fsflfwb bwshfsc vwm xtts jwht os lvt mofb op eong aonslge f gtktwl lo eon zflv tyts cgtwltg tjkvwmfm je jtmmwct lo lvt ktokbtm op olvtg oaankfth aonslgftm fs ztmltgs tngokt pobboz lvt fsmlgnalfosm op eong btwhtgm w kgtjwlngt nkgfmfsc op wbb pgtsavjts jwe kgtytsl eon pgoj xtfsc op\n",
      "Iter 0 of start 2: czfcvz fr jzagzed zxefcz y vydhwdl jya myhz guwa mfedwdl fd guz tfyag fr reydtz no geffca fr guz yvvwzh zkczhwgwfdyeo rfetz guwa vydhwdl wa cyeg fr guz tfdtzegzh xdwgzh dygwfda cvyd rfe guz vwnzeygwfd fr zxefcz myhz wd tfdixdtgwfd jwgu fxe lezyg exaawyd yvvwza w uypz guwa mzaaylz rfe yvv fr ofx yvgufxlu guz wdwgwyv yaayxvg myo dfg uypz nzzd myhz wd ofxe fjd tfxdgeo guz ufxe fr ofxe vwnzeygwfd wa yccefytuwdl yvv cygewfga mzd ydh jfmzd ofxdl ydh fvh uypz y cyeg gf cvyo wd guz ytuwzpzmzdg fr rwdyv pwtgfeo gf mzmnzea fr ezawagydtz mfpzmzdga w ayo rfvvfj guz wdagextgwfda ofx uypz eztzwpzh gf cygewfga juf yez dfg mzmnzea fr felydwqzh ezawagydtz lefxca w ayo tfdgwdxz ofxe cyaawpz ezawagydtz nxg hf dfg dzzhvzaavo zdhydlze ofxe vwpza xdgwv w lwpz ofx guz awldyv gf ewaz ydh agewsz guz zdzmo guz hyo jwvv tfmz juzd w auyvv dzzh ofxe xdwgzh agezdlgu xdgwv guyg hyo w tyvv fd ofx rfe guz uyeh gyas fr hwatwcvwdz ydh ezageywdg twgwqzda fr reydtz w ym cefxh gf uypz ylywd xdhze mo tfmmydh guz lyvvydg rfetza fr reydtz rwlugwdl nzawhz guzwe yvvwza guzo jwvv cvyo y jfeguo cyeg wd guz vwnzeygwfd fr guzwe ufmzvydh nztyxaz guz wdwgwyv vydhwdl uya nzzd myhz fd guz afwv fr ofxe tfxdgeo w ezczyg gf ofx jwgu zpzd lezygze zmcuyawa mo mzaaylz gf guz czfcvza fr fguze fttxcwzh tfxdgewza wd jzagzed zxefcz rfvvfj guz wdagextgwfda fr ofxe vzyhzea y cezmygxez xcewawdl fr yvv rezdtumzd myo cezpzdg ofx refm nzwdl fr\n",
      "Iter 0 of start 3: ybfyjb fm zbixblo bdlfyb v jvogron zvi hvgb xtri hfloron fo xtb cfvix fm mlvocb ek xlffyi fm xtb vjjrbg buybgrxrfovlk mflcb xtri jvogron ri yvlx fm xtb cfocblxbg dorxbg ovxrfoi yjvo mfl xtb jreblvxrfo fm bdlfyb hvgb ro cfowdocxrfo zrxt fdl nlbvx ldiirvo vjjrbi r tvab xtri hbiivnb mfl vjj fm kfd vjxtfdnt xtb rorxrvj viivdjx hvk ofx tvab ebbo hvgb ro kfdl fzo cfdoxlk xtb tfdl fm kfdl jreblvxrfo ri vyylfvctron vjj yvxlrfxi hbo vog zfhbo kfdon vog fjg tvab v yvlx xf yjvk ro xtb vctrbabhbox fm mrovj arcxflk xf hbhebli fm lbirixvocb hfabhboxi r ivk mfjjfz xtb roixldcxrfoi kfd tvab lbcbrabg xf yvxlrfxi ztf vlb ofx hbhebli fm flnvorsbg lbirixvocb nlfdyi r ivk cfoxrodb kfdl yviirab lbirixvocb edx gf ofx obbgjbiijk bogvonbl kfdl jrabi doxrj r nrab kfd xtb irnovj xf lrib vog ixlrqb xtb bobhk xtb gvk zrjj cfhb ztbo r itvjj obbg kfdl dorxbg ixlbonxt doxrj xtvx gvk r cvjj fo kfd mfl xtb tvlg xviq fm gricryjrob vog lbixlvrox crxrsboi fm mlvocb r vh ylfdg xf tvab vnvro dogbl hk cfhhvog xtb nvjjvox mflcbi fm mlvocb mrntxron ebirgb xtbrl vjjrbi xtbk zrjj yjvk v zflxtk yvlx ro xtb jreblvxrfo fm xtbrl tfhbjvog ebcvdib xtb rorxrvj jvogron tvi ebbo hvgb fo xtb ifrj fm kfdl cfdoxlk r lbybvx xf kfd zrxt babo nlbvxbl bhytviri hk hbiivnb xf xtb ybfyjbi fm fxtbl fccdyrbg cfdoxlrbi ro zbixblo bdlfyb mfjjfz xtb roixldcxrfoi fm kfdl jbvgbli v ylbhvxdlb dylriron fm vjj mlbocthbo hvk ylbabox kfd mlfh ebron fm\n",
      "Not updating anymore after iteration 30\n",
      "Iter 0 of start 1: cuncku ni guqeuxa ujxncu m kmarlaf gmq vmru ezlq vnxalaf na ezu dnmqe ni ixmadu wb exnncq ni ezu mkklur uhcurlelnamxb inxdu ezlq kmarlaf lq cmxe ni ezu dnaduxeur jaleur amelnaq ckma inx ezu klwuxmelna ni ujxncu vmru la dnaojadelna glez njx fxume xjqqlma mkkluq l zmyu ezlq vuqqmfu inx mkk ni bnj mkeznjfz ezu lalelmk mqqmjke vmb ane zmyu wuua vmru la bnjx nga dnjaexb ezu znjx ni bnjx klwuxmelna lq mccxnmdzlaf mkk cmexlneq vua mar gnvua bnjaf mar nkr zmyu m cmxe en ckmb la ezu mdzluyuvuae ni ilamk yldenxb en vuvwuxq ni xuqlqemadu vnyuvuaeq l qmb inkkng ezu laqexjdelnaq bnj zmyu xudulyur en cmexlneq gzn mxu ane vuvwuxq ni nxfmalsur xuqlqemadu fxnjcq l qmb dnaelaju bnjx cmqqlyu xuqlqemadu wje rn ane auurkuqqkb uarmafux bnjx klyuq jaelk l flyu bnj ezu qlfamk en xlqu mar qexltu ezu uauvb ezu rmb glkk dnvu gzua l qzmkk auur bnjx jaleur qexuafez jaelk ezme rmb l dmkk na bnj inx ezu zmxr emqt ni rlqdlcklau mar xuqexmlae dlelsuaq ni ixmadu l mv cxnjr en zmyu mfmla jarux vb dnvvmar ezu fmkkmae inxduq ni ixmadu ilfzelaf wuqlru ezulx mkkluq ezub glkk ckmb m gnxezb cmxe la ezu klwuxmelna ni ezulx znvukmar wudmjqu ezu lalelmk kmarlaf zmq wuua vmru na ezu qnlk ni bnjx dnjaexb l xucume en bnj glez uyua fxumeux uvczmqlq vb vuqqmfu en ezu cunckuq ni nezux nddjclur dnjaexluq la guqeuxa ujxncu inkkng ezu laqexjdelnaq ni bnjx kumruxq m cxuvmejxu jcxlqlaf ni mkk ixuadzvua vmb cxuyuae bnj ixnv wulaf ni\n",
      "Iter 0 of start 2: vhjvih ju shtnhbx hwbjvh k ikxogxq skt dkoh nrgt djbxgxq jx nrh fjktn ju ubkxfh ye nbjjvt ju nrh kiigho hpvhogngjxkbe ujbfh nrgt ikxogxq gt vkbn ju nrh fjxfhbnho wxgnho xkngjxt vikx ujb nrh igyhbkngjx ju hwbjvh dkoh gx fjxmwxfngjx sgnr jwb qbhkn bwttgkx kiight g rkzh nrgt dhttkqh ujb kii ju ejw kinrjwqr nrh gxgngki kttkwin dke xjn rkzh yhhx dkoh gx ejwb jsx fjwxnbe nrh rjwb ju ejwb igyhbkngjx gt kvvbjkfrgxq kii vknbgjnt dhx kxo sjdhx ejwxq kxo jio rkzh k vkbn nj vike gx nrh kfrghzhdhxn ju ugxki zgfnjbe nj dhdyhbt ju bhtgtnkxfh djzhdhxnt g tke ujiijs nrh gxtnbwfngjxt ejw rkzh bhfhgzho nj vknbgjnt srj kbh xjn dhdyhbt ju jbqkxglho bhtgtnkxfh qbjwvt g tke fjxngxwh ejwb vkttgzh bhtgtnkxfh ywn oj xjn xhhoihttie hxokxqhb ejwb igzht wxngi g qgzh ejw nrh tgqxki nj bgth kxo tnbgch nrh hxhde nrh oke sgii fjdh srhx g trkii xhho ejwb wxgnho tnbhxqnr wxngi nrkn oke g fkii jx ejw ujb nrh rkbo nktc ju ogtfgvigxh kxo bhtnbkgxn fgnglhxt ju ubkxfh g kd vbjwo nj rkzh kqkgx wxohb de fjddkxo nrh qkiikxn ujbfht ju ubkxfh ugqrngxq yhtgoh nrhgb kiight nrhe sgii vike k sjbnre vkbn gx nrh igyhbkngjx ju nrhgb rjdhikxo yhfkwth nrh gxgngki ikxogxq rkt yhhx dkoh jx nrh tjgi ju ejwb fjwxnbe g bhvhkn nj ejw sgnr hzhx qbhknhb hdvrktgt de dhttkqh nj nrh vhjviht ju jnrhb jffwvgho fjwxnbght gx shtnhbx hwbjvh ujiijs nrh gxtnbwfngjxt ju ejwb ihkohbt k vbhdknwbh wvbgtgxq ju kii ubhxfrdhx dke vbhzhxn ejw ubjd yhgxq ju\n",
      "Iter 0 of start 3: kcjksc je gcxrcab coajkc i sibmhbn gix uimc rqhx ujabhbn jb rqc wjixr je eaibwc vt rajjkx je rqc isshcm czkcmhrhjbiat ejawc rqhx sibmhbn hx kiar je rqc wjbwcarcm obhrcm birhjbx ksib eja rqc shvcairhjb je coajkc uimc hb wjbyobwrhjb ghrq joa nacir aoxxhib isshcx h qidc rqhx ucxxinc eja iss je tjo isrqjonq rqc hbhrhis ixxiosr uit bjr qidc vccb uimc hb tjoa jgb wjobrat rqc qjoa je tjoa shvcairhjb hx ikkajiwqhbn iss kirahjrx ucb ibm gjucb tjobn ibm jsm qidc i kiar rj ksit hb rqc iwqhcdcucbr je ehbis dhwrjat rj ucuvcax je acxhxribwc ujdcucbrx h xit ejssjg rqc hbxraowrhjbx tjo qidc acwchdcm rj kirahjrx gqj iac bjr ucuvcax je janibhpcm acxhxribwc najokx h xit wjbrhboc tjoa kixxhdc acxhxribwc vor mj bjr bccmscxxst cbmibnca tjoa shdcx obrhs h nhdc tjo rqc xhnbis rj ahxc ibm xrahlc rqc cbcut rqc mit ghss wjuc gqcb h xqiss bccm tjoa obhrcm xracbnrq obrhs rqir mit h wiss jb tjo eja rqc qiam rixl je mhxwhkshbc ibm acxraihbr whrhpcbx je eaibwc h iu kajom rj qidc inihb obmca ut wjuuibm rqc nissibr ejawcx je eaibwc ehnqrhbn vcxhmc rqcha isshcx rqct ghss ksit i gjarqt kiar hb rqc shvcairhjb je rqcha qjucsibm vcwioxc rqc hbhrhis sibmhbn qix vccb uimc jb rqc xjhs je tjoa wjobrat h ackcir rj tjo ghrq cdcb nacirca cukqixhx ut ucxxinc rj rqc kcjkscx je jrqca jwwokhcm wjobrahcx hb gcxrcab coajkc ejssjg rqc hbxraowrhjbx je tjoa scimcax i kacuiroac okahxhbn je iss eacbwqucb uit kacdcbr tjo eaju vchbn je\n",
      "Not updating anymore after iteration 30\n",
      "Iter 0 of start 1: dcvdnc vw tcuoczp cszvdc k nkpabpq tku gkac ofbu gvzpbpq vp ofc evkuo vw wzkpec xr ozvvdu vw ofc knnbca cidcabobvpkzr wvzec ofbu nkpabpq bu dkzo vw ofc evpeczoca spboca pkobvpu dnkp wvz ofc nbxczkobvp vw cszvdc gkac bp evpjspeobvp tbof vsz qzcko zsuubkp knnbcu b fkmc ofbu gcuukqc wvz knn vw rvs knofvsqf ofc bpbobkn kuuksno gkr pvo fkmc xccp gkac bp rvsz vtp evspozr ofc fvsz vw rvsz nbxczkobvp bu kddzvkefbpq knn dkozbvou gcp kpa tvgcp rvspq kpa vna fkmc k dkzo ov dnkr bp ofc kefbcmcgcpo vw wbpkn mbeovzr ov gcgxczu vw zcubuokpec gvmcgcpou b ukr wvnnvt ofc bpuozseobvpu rvs fkmc zcecbmca ov dkozbvou tfv kzc pvo gcgxczu vw vzqkpbhca zcubuokpec qzvsdu b ukr evpobpsc rvsz dkuubmc zcubuokpec xso av pvo pccancuunr cpakpqcz rvsz nbmcu spobn b qbmc rvs ofc ubqpkn ov zbuc kpa uozbyc ofc cpcgr ofc akr tbnn evgc tfcp b ufknn pcca rvsz spboca uozcpqof spobn ofko akr b eknn vp rvs wvz ofc fkza okuy vw abuebdnbpc kpa zcuozkbpo ebobhcpu vw wzkpec b kg dzvsa ov fkmc kqkbp spacz gr evggkpa ofc qknnkpo wvzecu vw wzkpec wbqfobpq xcubac ofcbz knnbcu ofcr tbnn dnkr k tvzofr dkzo bp ofc nbxczkobvp vw ofcbz fvgcnkpa xceksuc ofc bpbobkn nkpabpq fku xccp gkac vp ofc uvbn vw rvsz evspozr b zcdcko ov rvs tbof cmcp qzckocz cgdfkubu gr gcuukqc ov ofc dcvdncu vw vofcz veesdbca evspozbcu bp tcuoczp cszvdc wvnnvt ofc bpuozseobvpu vw rvsz nckaczu k dzcgkoszc sdzbubpq vw knn wzcpefgcp gkr dzcmcpo rvs wzvg xcbpq vw\n",
      "Iter 0 of start 2: asmajs mu csioswb sxwmas h jhbydbv chi khys oldi kmwbdbv mb ols emhio mu uwhbes nr owmmai mu ols hjjdsy sqasydodmbhwr umwes oldi jhbydbv di ahwo mu ols embeswosy xbdosy bhodmbi ajhb umw ols jdnswhodmb mu sxwmas khys db embfxbeodmb cdol mxw vwsho wxiidhb hjjdsi d lhps oldi ksiihvs umw hjj mu rmx hjolmxvl ols dbdodhj hiihxjo khr bmo lhps nssb khys db rmxw mcb emxbowr ols lmxw mu rmxw jdnswhodmb di haawmheldbv hjj ahowdmoi ksb hby cmksb rmxbv hby mjy lhps h ahwo om ajhr db ols heldspsksbo mu udbhj pdeomwr om ksknswi mu wsidiohbes kmpsksboi d ihr umjjmc ols dbiowxeodmbi rmx lhps wsesdpsy om ahowdmoi clm hws bmo ksknswi mu mwvhbdtsy wsidiohbes vwmxai d ihr embodbxs rmxw ahiidps wsidiohbes nxo ym bmo bssyjsiijr sbyhbvsw rmxw jdpsi xbodj d vdps rmx ols idvbhj om wdis hby iowdgs ols sbskr ols yhr cdjj emks clsb d ilhjj bssy rmxw xbdosy iowsbvol xbodj olho yhr d ehjj mb rmx umw ols lhwy ohig mu ydiedajdbs hby wsiowhdbo edodtsbi mu uwhbes d hk awmxy om lhps hvhdb xbysw kr emkkhby ols vhjjhbo umwesi mu uwhbes udvlodbv nsidys olsdw hjjdsi olsr cdjj ajhr h cmwolr ahwo db ols jdnswhodmb mu olsdw lmksjhby nsehxis ols dbdodhj jhbydbv lhi nssb khys mb ols imdj mu rmxw emxbowr d wsasho om rmx cdol spsb vwshosw skalhidi kr ksiihvs om ols asmajsi mu molsw meexadsy emxbowdsi db csioswb sxwmas umjjmc ols dbiowxeodmbi mu rmxw jshyswi h awskhoxws xawdidbv mu hjj uwsbelksb khr awspsbo rmx uwmk nsdbv mu\n",
      "Iter 0 of start 3: biobmi os ziauiqx ipqobi e mexjhxd zea veji ukha voqxhxd ox uki roeau os sqexri cy uqooba os uki emmhij ifbijhuhoxeqy soqri ukha mexjhxd ha bequ os uki roxriquij pxhuij xeuhoxa bmex soq uki mhciqeuhox os ipqobi veji hx roxlpxruhox zhuk opq dqieu qpaahex emmhia h keni ukha viaaedi soq emm os yop emukopdk uki hxhuhem eaaepmu vey xou keni ciix veji hx yopq ozx ropxuqy uki kopq os yopq mhciqeuhox ha ebbqoerkhxd emm beuqhoua vix exj zovix yopxd exj omj keni e bequ uo bmey hx uki erkhinivixu os shxem nhruoqy uo vivciqa os qiahauexri vonivixua h aey sommoz uki hxauqpruhoxa yop keni qirihnij uo beuqhoua zko eqi xou vivciqa os oqdexhtij qiahauexri dqopba h aey roxuhxpi yopq beaahni qiahauexri cpu jo xou xiijmiaamy ixjexdiq yopq mhnia pxuhm h dhni yop uki ahdxem uo qhai exj auqhwi uki ixivy uki jey zhmm rovi zkix h akemm xiij yopq pxhuij auqixduk pxuhm ukeu jey h remm ox yop soq uki keqj ueaw os jharhbmhxi exj qiauqehxu rhuhtixa os sqexri h ev bqopj uo keni edehx pxjiq vy rovvexj uki demmexu soqria os sqexri shdkuhxd ciahji ukihq emmhia ukiy zhmm bmey e zoquky bequ hx uki mhciqeuhox os ukihq kovimexj cirepai uki hxhuhem mexjhxd kea ciix veji ox uki aohm os yopq ropxuqy h qibieu uo yop zhuk inix dqieuiq ivbkeaha vy viaaedi uo uki biobmia os oukiq orrpbhij ropxuqhia hx ziauiqx ipqobi sommoz uki hxauqpruhoxa os yopq miejiqa e bqiveupqi pbqhahxd os emm sqixrkvix vey bqinixu yop sqov cihxd os\n",
      "Not updating anymore after iteration 30\n",
      "Iter 0 of start 1: mtxmlt xf rtsptcn tjcxmt o lonbynk ros uobt peys uxcnynk xn pet hxosp xf fconht zq pcxxms xf pet ollytb tvmtbypyxnocq fxcht peys lonbynk ys mocp xf pet hxnhtcptb jnyptb nopyxns mlon fxc pet lyztcopyxn xf tjcxmt uobt yn hxndjnhpyxn rype xjc kctop cjssyon ollyts y eowt peys utssokt fxc oll xf qxj olpexjke pet ynypyol ossojlp uoq nxp eowt zttn uobt yn qxjc xrn hxjnpcq pet exjc xf qxjc lyztcopyxn ys ommcxoheynk oll mopcyxps utn onb rxutn qxjnk onb xlb eowt o mocp px mloq yn pet oheytwtutnp xf fynol wyhpxcq px utuztcs xf ctsysponht uxwtutnps y soq fxllxr pet ynspcjhpyxns qxj eowt cthtywtb px mopcyxps rex oct nxp utuztcs xf xckonygtb ctsysponht kcxjms y soq hxnpynjt qxjc mossywt ctsysponht zjp bx nxp nttbltsslq tnbonktc qxjc lywts jnpyl y kywt qxj pet syknol px cyst onb spcyit pet tntuq pet boq ryll hxut retn y seoll nttb qxjc jnyptb spctnkpe jnpyl peop boq y holl xn qxj fxc pet eocb posi xf byshymlynt onb ctspcoynp hypygtns xf fconht y ou mcxjb px eowt okoyn jnbtc uq hxuuonb pet kollonp fxchts xf fconht fykepynk ztsybt petyc ollyts petq ryll mloq o rxcpeq mocp yn pet lyztcopyxn xf petyc exutlonb zthojst pet ynypyol lonbynk eos zttn uobt xn pet sxyl xf qxjc hxjnpcq y ctmtop px qxj rype twtn kctoptc tumeosys uq utssokt px pet mtxmlts xf xpetc xhhjmytb hxjnpcyts yn rtsptcn tjcxmt fxllxr pet ynspcjhpyxns xf qxjc ltobtcs o mctuopjct jmcysynk xf oll fctnheutn uoq mctwtnp qxj fcxu ztynk xf uovyuju etlm px qxjc hxjnpcq yn pet hcypyhol exjc zt mopytnp mctmoct os sjmctut hxuuonbtc xf pet ollytb tvmtbypyxnocq fxcht petct ys yumxstb xn ut pet bjpq onb ctsmxnsyzylypq xf poiynk oll utosjcts nthtssocq px pet mcxsthjpyxn xf pet roc mcxump onb ryllynk xztbytnht px pet xcbtcs peop y seoll yssjt ys tsstnpyol tffthpywt hywyl obuynyspcopyxn xf fconht ujsp zt mcxwybtb zq fctnheutn oll mtcsxns ujsp hxnpynjt yn petyc mctstnp bjpyts jnltss xpetcryst ynspcjhptb pexst rex eowt uobt hxuuxn hojst rype pet tntuq onb sx ztpcoqtb petyc hxjnpcq ryll zt ctuxwtb os fconht ys lyztcoptb fcxu etc xmmctssxcs qxj qxjcstlwts ryll hexxst qxjc ctmctstnpopywts onb pet kxwtcnutnp jnbtc reyhe qxj ryse px lywt yn pet hxjcst xf peys houmoykn fxc pet fynol btftop xf pet tntuq qxj uoq sjspoyn fjcpetc lxss onb bouokt pcokyh pexjke petq uoq zt petq oct mocp xf pet mcyht xf wyhpxcq y ossjct qxj peop y seoll bx oll yn uq mxrtc px uypykopt qxjc eocbseyms y inxr peop y hon hxjnp xn qxjc sptobfospntss nxr nx ltss peon yn pet mosp pet etcxyh bttbs xf fctnheutn rex eowt hxnpynjtb pet spcjkklt okoynsp pet nogys onb petyc wyheq soptllypts yn fconht onb pecxjkexjp pet fctnhe tumyct eowt zttn on tvoumlt onb on ynsmycopyxn px oll xf js peys lonbynk ys zjp pet xmtnynk meost xf pet houmoykn yn rtsptcn tjcxmt kctop zopplts lyt oetob y holl jmxn oll rex lxwt fcttbxu px sponb rype js ittm qxjc foype spojnhe xjc ocus oct ctsxljpt pxktpetc rt\n",
      "Iter 0 of start 2: daedha ec yairalt awleda x hxtmvtn yxi sxma rpvi seltvtn et rpa oexir ec clxtoa ju rleedi ec rpa xhhvam agdamvrvetxlu celoa rpvi hxtmvtn vi dxlr ec rpa oetoalram wtvram txrveti dhxt cel rpa hvjalxrvet ec awleda sxma vt oetkwtorvet yvrp ewl nlaxr lwiivxt xhhvai v pxqa rpvi saiixna cel xhh ec uew xhrpewnp rpa vtvrvxh xiixwhr sxu ter pxqa jaat sxma vt uewl eyt oewtrlu rpa pewl ec uewl hvjalxrvet vi xddlexopvtn xhh dxrlveri sat xtm yesat uewtn xtm ehm pxqa x dxlr re dhxu vt rpa xopvaqasatr ec cvtxh qvorelu re sasjali ec laivirxtoa seqasatri v ixu cehhey rpa vtirlworveti uew pxqa laoavqam re dxrlveri ype xla ter sasjali ec elnxtvfam laivirxtoa nlewdi v ixu oetrvtwa uewl dxiivqa laivirxtoa jwr me ter taamhaiihu atmxtnal uewl hvqai wtrvh v nvqa uew rpa ivntxh re lvia xtm irlvba rpa atasu rpa mxu yvhh oesa ypat v ipxhh taam uewl wtvram irlatnrp wtrvh rpxr mxu v oxhh et uew cel rpa pxlm rxib ec mviovdhvta xtm lairlxvtr ovrvfati ec clxtoa v xs dlewm re pxqa xnxvt wtmal su oessxtm rpa nxhhxtr celoai ec clxtoa cvnprvtn jaivma rpavl xhhvai rpau yvhh dhxu x yelrpu dxlr vt rpa hvjalxrvet ec rpavl pesahxtm jaoxwia rpa vtvrvxh hxtmvtn pxi jaat sxma et rpa ievh ec uewl oewtrlu v ladaxr re uew yvrp aqat nlaxral asdpxivi su saiixna re rpa daedhai ec erpal eoowdvam oewtrlvai vt yairalt awleda cehhey rpa vtirlworveti ec uewl haxmali x dlasxrwla wdlvivtn ec xhh clatopsat sxu dlaqatr uew cles javtn ec sxgvsws pahd re uewl oewtrlu vt rpa olvrvoxh pewl ja dxrvatr dladxla xi iwdlasa oessxtmal ec rpa xhhvam agdamvrvetxlu celoa rpala vi vsdeiam et sa rpa mwru xtm laidetivjvhvru ec rxbvtn xhh saxiwlai taoaiixlu re rpa dleiaowrvet ec rpa yxl dlesdr xtm yvhhvtn ejamvatoa re rpa elmali rpxr v ipxhh viiwa vi aiiatrvxh accaorvqa ovqvh xmsvtvirlxrvet ec clxtoa swir ja dleqvmam ju clatopsat xhh dalieti swir oetrvtwa vt rpavl dlaiatr mwrvai wthaii erpalyvia vtirlworam rpeia ype pxqa sxma oesset oxwia yvrp rpa atasu xtm ie jarlxuam rpavl oewtrlu yvhh ja laseqam xi clxtoa vi hvjalxram cles pal eddlaiieli uew uewliahqai yvhh opeeia uewl ladlaiatrxrvqai xtm rpa neqaltsatr wtmal ypvop uew yvip re hvqa vt rpa oewlia ec rpvi oxsdxvnt cel rpa cvtxh macaxr ec rpa atasu uew sxu iwirxvt cwlrpal heii xtm mxsxna rlxnvo rpewnp rpau sxu ja rpau xla dxlr ec rpa dlvoa ec qvorelu v xiiwla uew rpxr v ipxhh me xhh vt su deyal re svrvnxra uewl pxlmipvdi v btey rpxr v oxt oewtr et uewl iraxmcxirtaii tey te haii rpxt vt rpa dxir rpa palevo maami ec clatopsat ype pxqa oetrvtwam rpa irlwnnha xnxvtir rpa txfvi xtm rpavl qvopu ixrahhvrai vt clxtoa xtm rplewnpewr rpa clatop asdvla pxqa jaat xt agxsdha xtm xt vtidvlxrvet re xhh ec wi rpvi hxtmvtn vi jwr rpa edatvtn dpxia ec rpa oxsdxvnt vt yairalt awleda nlaxr jxrrhai hva xpaxm v oxhh wdet xhh ype heqa claames re irxtm yvrp wi baad uewl cxvrp irxwtop ewl xlsi xla laiehwra renarpal ya\n",
      "Iter 0 of start 3: gvngcv nl pvsmvix vringv e cexyhxa pes ueyv mths unixhxa nx mtv fnesm nl liexfv qj minngs nl mtv ecchvy vzgvyhmhnxeij lnifv mths cexyhxa hs geim nl mtv fnxfvimvy rxhmvy xemhnxs gcex lni mtv chqviemhnx nl vringv ueyv hx fnxorxfmhnx phmt nri aivem irsshex ecchvs h tewv mths uvsseav lni ecc nl jnr ecmtnrat mtv hxhmhec essercm uej xnm tewv qvvx ueyv hx jnri npx fnrxmij mtv tnri nl jnri chqviemhnx hs egginefthxa ecc gemihnms uvx exy pnuvx jnrxa exy ncy tewv e geim mn gcej hx mtv efthvwvuvxm nl lhxec whfmnij mn uvuqvis nl ivshsmexfv unwvuvxms h sej lnccnp mtv hxsmirfmhnxs jnr tewv ivfvhwvy mn gemihnms ptn eiv xnm uvuqvis nl niaexhkvy ivshsmexfv ainrgs h sej fnxmhxrv jnri gesshwv ivshsmexfv qrm yn xnm xvvycvsscj vxyexavi jnri chwvs rxmhc h ahwv jnr mtv shaxec mn ihsv exy smihbv mtv vxvuj mtv yej phcc fnuv ptvx h stecc xvvy jnri rxhmvy smivxamt rxmhc mtem yej h fecc nx jnr lni mtv teiy mesb nl yhsfhgchxv exy ivsmiehxm fhmhkvxs nl liexfv h eu ginry mn tewv eaehx rxyvi uj fnuuexy mtv aeccexm lnifvs nl liexfv lhatmhxa qvshyv mtvhi ecchvs mtvj phcc gcej e pnimtj geim hx mtv chqviemhnx nl mtvhi tnuvcexy qvfersv mtv hxhmhec cexyhxa tes qvvx ueyv nx mtv snhc nl jnri fnrxmij h ivgvem mn jnr phmt vwvx aivemvi vugteshs uj uvsseav mn mtv gvngcvs nl nmtvi nffrghvy fnrxmihvs hx pvsmvix vringv lnccnp mtv hxsmirfmhnxs nl jnri cveyvis e givuemriv rgihshxa nl ecc livxftuvx uej givwvxm jnr linu qvhxa nl uezhuru tvcg mn jnri fnrxmij hx mtv fihmhfec tnri qv gemhvxm givgeiv es srgivuv fnuuexyvi nl mtv ecchvy vzgvyhmhnxeij lnifv mtviv hs hugnsvy nx uv mtv yrmj exy ivsgnxshqhchmj nl mebhxa ecc uvesrivs xvfvsseij mn mtv ginsvfrmhnx nl mtv pei ginugm exy phcchxa nqvyhvxfv mn mtv niyvis mtem h stecc hssrv hs vssvxmhec vllvfmhwv fhwhc eyuhxhsmiemhnx nl liexfv ursm qv ginwhyvy qj livxftuvx ecc gvisnxs ursm fnxmhxrv hx mtvhi givsvxm yrmhvs rxcvss nmtviphsv hxsmirfmvy mtnsv ptn tewv ueyv fnuunx fersv phmt mtv vxvuj exy sn qvmiejvy mtvhi fnrxmij phcc qv ivunwvy es liexfv hs chqviemvy linu tvi nggivssnis jnr jnrisvcwvs phcc ftnnsv jnri ivgivsvxmemhwvs exy mtv anwvixuvxm rxyvi pthft jnr phst mn chwv hx mtv fnrisv nl mths feugehax lni mtv lhxec yvlvem nl mtv vxvuj jnr uej srsmehx lrimtvi cnss exy yeueav mieahf mtnrat mtvj uej qv mtvj eiv geim nl mtv gihfv nl whfmnij h essriv jnr mtem h stecc yn ecc hx uj gnpvi mn uhmhaemv jnri teiysthgs h bxnp mtem h fex fnrxm nx jnri smveylesmxvss xnp xn cvss mtex hx mtv gesm mtv tvinhf yvvys nl livxftuvx ptn tewv fnxmhxrvy mtv smiraacv eaehxsm mtv xekhs exy mtvhi whftj semvcchmvs hx liexfv exy mtinratnrm mtv livxft vughiv tewv qvvx ex vzeugcv exy ex hxsghiemhnx mn ecc nl rs mths cexyhxa hs qrm mtv ngvxhxa gtesv nl mtv feugehax hx pvsmvix vringv aivem qemmcvs chv etvey h fecc rgnx ecc ptn cnwv livvynu mn smexy phmt rs bvvg jnri lehmt smerxft nri eius eiv ivsncrmv mnavmtvi pv\n",
      "Not updating anymore after iteration 34\n",
      "Iter 0 of start 1: hvrhmv rs ivzevux vcurhv p mpxnfxt ipz lpnv eyfz lruxfxt rx eyv grpze rs supxgv ka eurrhz rs eyv pmmfvn vohvnfefrxpua srugv eyfz mpxnfxt fz hpue rs eyv grxgvuevn cxfevn xpefrxz hmpx sru eyv mfkvupefrx rs vcurhv lpnv fx grxdcxgefrx ifey rcu tuvpe uczzfpx pmmfvz f ypqv eyfz lvzzptv sru pmm rs arc pmeyrcty eyv fxfefpm pzzpcme lpa xre ypqv kvvx lpnv fx arcu rix grcxeua eyv yrcu rs arcu mfkvupefrx fz phhurpgyfxt pmm hpeufrez lvx pxn irlvx arcxt pxn rmn ypqv p hpue er hmpa fx eyv pgyfvqvlvxe rs sfxpm qfgerua er lvlkvuz rs uvzfzepxgv lrqvlvxez f zpa srmmri eyv fxzeucgefrxz arc ypqv uvgvfqvn er hpeufrez iyr puv xre lvlkvuz rs rutpxfbvn uvzfzepxgv turchz f zpa grxefxcv arcu hpzzfqv uvzfzepxgv kce nr xre xvvnmvzzma vxnpxtvu arcu mfqvz cxefm f tfqv arc eyv zftxpm er ufzv pxn zeufjv eyv vxvla eyv npa ifmm grlv iyvx f zypmm xvvn arcu cxfevn zeuvxtey cxefm eype npa f gpmm rx arc sru eyv ypun epzj rs nfzgfhmfxv pxn uvzeupfxe gfefbvxz rs supxgv f pl hurcn er ypqv ptpfx cxnvu la grllpxn eyv tpmmpxe srugvz rs supxgv sftyefxt kvzfnv eyvfu pmmfvz eyva ifmm hmpa p irueya hpue fx eyv mfkvupefrx rs eyvfu yrlvmpxn kvgpczv eyv fxfefpm mpxnfxt ypz kvvx lpnv rx eyv zrfm rs arcu grcxeua f uvhvpe er arc ifey vqvx tuvpevu vlhypzfz la lvzzptv er eyv hvrhmvz rs reyvu rggchfvn grcxeufvz fx ivzevux vcurhv srmmri eyv fxzeucgefrxz rs arcu mvpnvuz p huvlpecuv chufzfxt rs pmm suvxgylvx lpa huvqvxe arc surl kvfxt rs lpoflcl yvmh er arcu grcxeua fx eyv gufefgpm yrcu kv hpefvxe huvhpuv pz zchuvlv grllpxnvu rs eyv pmmfvn vohvnfefrxpua srugv eyvuv fz flhrzvn rx lv eyv ncea pxn uvzhrxzfkfmfea rs epjfxt pmm lvpzcuvz xvgvzzpua er eyv hurzvgcefrx rs eyv ipu hurlhe pxn ifmmfxt rkvnfvxgv er eyv runvuz eype f zypmm fzzcv fz vzzvxefpm vssvgefqv gfqfm pnlfxfzeupefrx rs supxgv lcze kv hurqfnvn ka suvxgylvx pmm hvuzrxz lcze grxefxcv fx eyvfu huvzvxe ncefvz cxmvzz reyvuifzv fxzeucgevn eyrzv iyr ypqv lpnv grllrx gpczv ifey eyv vxvla pxn zr kveupavn eyvfu grcxeua ifmm kv uvlrqvn pz supxgv fz mfkvupevn surl yvu rhhuvzzruz arc arcuzvmqvz ifmm gyrrzv arcu uvhuvzvxepefqvz pxn eyv trqvuxlvxe cxnvu iyfgy arc ifzy er mfqv fx eyv grcuzv rs eyfz gplhpftx sru eyv sfxpm nvsvpe rs eyv vxvla arc lpa zczepfx scueyvu mrzz pxn nplptv euptfg eyrcty eyva lpa kv eyva puv hpue rs eyv hufgv rs qfgerua f pzzcuv arc eype f zypmm nr pmm fx la hrivu er lfeftpev arcu ypunzyfhz f jxri eype f gpx grcxe rx arcu zevpnspzexvzz xri xr mvzz eypx fx eyv hpze eyv yvurfg nvvnz rs suvxgylvx iyr ypqv grxefxcvn eyv zeucttmv ptpfxze eyv xpbfz pxn eyvfu qfgya zpevmmfevz fx supxgv pxn eyurctyrce eyv suvxgy vlhfuv ypqv kvvx px voplhmv pxn px fxzhfupefrx er pmm rs cz eyfz mpxnfxt fz kce eyv rhvxfxt hypzv rs eyv gplhpftx fx ivzevux vcurhv tuvpe kpeemvz mfv pyvpn f gpmm chrx pmm iyr mrqv suvvnrl er zepxn ifey cz jvvh arcu spfey zepcxgy rcu pulz puv uvzrmcev ertveyvu iv\n",
      "Iter 0 of start 2: uyzuny zv ayloysr yqszuy b nbrkirf abl tbky omil tzsrirf zr omy czblo zv vsbrcy jx oszzul zv omy bnniyk yeuykioizrbsx vzscy omil nbrkirf il ubso zv omy czrcysoyk qrioyk rboizrl unbr vzs omy nijysboizr zv yqszuy tbky ir czrwqrcoizr aiom zqs fsybo sqllibr bnniyl i mbdy omil tyllbfy vzs bnn zv xzq bnomzqfm omy irioibn bllbqno tbx rzo mbdy jyyr tbky ir xzqs zar czqrosx omy mzqs zv xzqs nijysboizr il buuszbcmirf bnn ubosizol tyr brk aztyr xzqrf brk znk mbdy b ubso oz unbx ir omy bcmiydytyro zv virbn dicozsx oz tytjysl zv sylilobrcy tzdytyrol i lbx vznnza omy irlosqcoizrl xzq mbdy sycyidyk oz ubosizol amz bsy rzo tytjysl zv zsfbrigyk sylilobrcy fszqul i lbx czroirqy xzqs ubllidy sylilobrcy jqo kz rzo ryyknyllnx yrkbrfys xzqs nidyl qroin i fidy xzq omy lifrbn oz sily brk losihy omy yrytx omy kbx ainn czty amyr i lmbnn ryyk xzqs qrioyk losyrfom qroin ombo kbx i cbnn zr xzq vzs omy mbsk oblh zv kilciuniry brk sylosbiro cioigyrl zv vsbrcy i bt uszqk oz mbdy bfbir qrkys tx czttbrk omy fbnnbro vzscyl zv vsbrcy vifmoirf jyliky omyis bnniyl omyx ainn unbx b azsomx ubso ir omy nijysboizr zv omyis mztynbrk jycbqly omy irioibn nbrkirf mbl jyyr tbky zr omy lzin zv xzqs czqrosx i syuybo oz xzq aiom ydyr fsyboys ytumblil tx tyllbfy oz omy uyzunyl zv zomys zccquiyk czqrosiyl ir ayloysr yqszuy vznnza omy irlosqcoizrl zv xzqs nybkysl b usytboqsy qusilirf zv bnn vsyrcmtyr tbx usydyro xzq vszt jyirf zv tbeitqt mynu oz xzqs czqrosx ir omy csioicbn mzqs jy uboiyro usyubsy bl lqusyty czttbrkys zv omy bnniyk yeuykioizrbsx vzscy omysy il ituzlyk zr ty omy kqox brk syluzrlijiniox zv obhirf bnn tyblqsyl rycyllbsx oz omy uszlycqoizr zv omy abs usztuo brk ainnirf zjykiyrcy oz omy zskysl ombo i lmbnn illqy il yllyroibn yvvycoidy cidin bktirilosboizr zv vsbrcy tqlo jy uszdikyk jx vsyrcmtyr bnn uyslzrl tqlo czroirqy ir omyis usylyro kqoiyl qrnyll zomysaily irlosqcoyk omzly amz mbdy tbky czttzr cbqly aiom omy yrytx brk lz jyosbxyk omyis czqrosx ainn jy sytzdyk bl vsbrcy il nijysboyk vszt mys zuusyllzsl xzq xzqslyndyl ainn cmzzly xzqs syusylyroboidyl brk omy fzdysrtyro qrkys amicm xzq ailm oz nidy ir omy czqsly zv omil cbtubifr vzs omy virbn kyvybo zv omy yrytx xzq tbx lqlobir vqsomys nzll brk kbtbfy osbfic omzqfm omyx tbx jy omyx bsy ubso zv omy usicy zv dicozsx i bllqsy xzq ombo i lmbnn kz bnn ir tx uzays oz tioifboy xzqs mbsklmiul i hrza ombo i cbr czqro zr xzqs loybkvbloryll rza rz nyll ombr ir omy ublo omy myszic kyykl zv vsyrcmtyr amz mbdy czroirqyk omy losqffny bfbirlo omy rbgil brk omyis dicmx lboynnioyl ir vsbrcy brk omszqfmzqo omy vsyrcm ytuisy mbdy jyyr br yebtuny brk br irluisboizr oz bnn zv ql omil nbrkirf il jqo omy zuyrirf umbly zv omy cbtubifr ir ayloysr yqszuy fsybo jboonyl niy bmybk i cbnn quzr bnn amz nzdy vsyykzt oz lobrk aiom ql hyyu xzqs vbiom lobqrcm zqs bstl bsy sylznqoy ozfyomys ay\n",
      "Iter 0 of start 3: oybopy bm qyicygt ylgboy n pntxrte qni dnxy cwri dbgtrte bt cwy abnic bm mgntay fs cgbboi bm cwy nppryx yuoyxrcrbtngs mbgay cwri pntxrte ri ongc bm cwy abtaygcyx ltrcyx tncrbti opnt mbg cwy prfygncrbt bm ylgboy dnxy rt abthltacrbt qrcw blg egync gliirnt nppryi r wnvy cwri dyiiney mbg npp bm sbl npcwblew cwy rtrcrnp niinlpc dns tbc wnvy fyyt dnxy rt sblg bqt abltcgs cwy wblg bm sblg prfygncrbt ri noogbnawrte npp oncgrbci dyt ntx qbdyt sblte ntx bpx wnvy n ongc cb opns rt cwy nawryvydytc bm mrtnp vracbgs cb dydfygi bm gyiricntay dbvydytci r ins mbppbq cwy rticglacrbti sbl wnvy gyayrvyx cb oncgrbci qwb ngy tbc dydfygi bm bgentrjyx gyiricntay egbloi r ins abtcrtly sblg oniirvy gyiricntay flc xb tbc tyyxpyiips ytxnteyg sblg prvyi ltcrp r ervy sbl cwy iretnp cb griy ntx icgrky cwy ytyds cwy xns qrpp abdy qwyt r iwnpp tyyx sblg ltrcyx icgytecw ltcrp cwnc xns r anpp bt sbl mbg cwy wngx cnik bm xriaroprty ntx gyicgnrtc arcrjyti bm mgntay r nd ogblx cb wnvy nenrt ltxyg ds abddntx cwy enppntc mbgayi bm mgntay mrewcrte fyirxy cwyrg nppryi cwys qrpp opns n qbgcws ongc rt cwy prfygncrbt bm cwyrg wbdypntx fyanliy cwy rtrcrnp pntxrte wni fyyt dnxy bt cwy ibrp bm sblg abltcgs r gyoync cb sbl qrcw yvyt egyncyg ydowniri ds dyiiney cb cwy oybopyi bm bcwyg baaloryx abltcgryi rt qyicygt ylgboy mbppbq cwy rticglacrbti bm sblg pynxygi n ogydnclgy logrirte bm npp mgytawdyt dns ogyvytc sbl mgbd fyrte bm dnurdld wypo cb sblg abltcgs rt cwy agrcranp wblg fy oncrytc ogyongy ni ilogydy abddntxyg bm cwy nppryx yuoyxrcrbtngs mbgay cwygy ri rdobiyx bt dy cwy xlcs ntx gyiobtirfrprcs bm cnkrte npp dynilgyi tyayiings cb cwy ogbiyalcrbt bm cwy qng ogbdoc ntx qrpprte bfyxrytay cb cwy bgxygi cwnc r iwnpp riily ri yiiytcrnp ymmyacrvy arvrp nxdrtricgncrbt bm mgntay dlic fy ogbvrxyx fs mgytawdyt npp oygibti dlic abtcrtly rt cwyrg ogyiytc xlcryi ltpyii bcwygqriy rticglacyx cwbiy qwb wnvy dnxy abddbt anliy qrcw cwy ytyds ntx ib fycgnsyx cwyrg abltcgs qrpp fy gydbvyx ni mgntay ri prfygncyx mgbd wyg boogyiibgi sbl sblgiypvyi qrpp awbbiy sblg gyogyiytcncrvyi ntx cwy ebvygtdytc ltxyg qwraw sbl qriw cb prvy rt cwy ablgiy bm cwri andonret mbg cwy mrtnp xymync bm cwy ytyds sbl dns ilicnrt mlgcwyg pbii ntx xndney cgnera cwblew cwys dns fy cwys ngy ongc bm cwy ogray bm vracbgs r niilgy sbl cwnc r iwnpp xb npp rt ds obqyg cb drcrency sblg wngxiwroi r ktbq cwnc r ant abltc bt sblg icynxmnictyii tbq tb pyii cwnt rt cwy onic cwy wygbra xyyxi bm mgytawdyt qwb wnvy abtcrtlyx cwy icgleepy nenrtic cwy tnjri ntx cwyrg vraws incypprcyi rt mgntay ntx cwgblewblc cwy mgytaw ydorgy wnvy fyyt nt yundopy ntx nt rtiorgncrbt cb npp bm li cwri pntxrte ri flc cwy boytrte owniy bm cwy andonret rt qyicygt ylgboy egync fnccpyi pry nwynx r anpp lobt npp qwb pbvy mgyyxbd cb icntx qrcw li kyyo sblg mnrcw icnltaw blg ngdi ngy gyibplcy cbeycwyg qy\n",
      "Not updating anymore after iteration 34\n",
      "Iter 0 of start 1: yikyci kb zilaieg ipekyi r crgxtgu zrl wrxi ajtl wkegtgu kg aji vkrla kb bergvi hm aekkyl kb aji rcctix inyixtatkgrem bkevi ajtl crgxtgu tl yrea kb aji vkgvieaix pgtaix gratkgl ycrg bke aji cthieratkg kb ipekyi wrxi tg vkgfpgvatkg ztaj kpe ueira eplltrg rcctil t jrsi ajtl willrui bke rcc kb mkp rcajkpuj aji tgtatrc rllrpca wrm gka jrsi hiig wrxi tg mkpe kzg vkpgaem aji jkpe kb mkpe cthieratkg tl ryyekrvjtgu rcc yraetkal wig rgx zkwig mkpgu rgx kcx jrsi r yrea ak ycrm tg aji rvjtisiwiga kb btgrc stvakem ak wiwhiel kb eiltlargvi wksiwigal t lrm bkcckz aji tglaepvatkgl mkp jrsi eivitsix ak yraetkal zjk rei gka wiwhiel kb keurgtqix eiltlargvi uekpyl t lrm vkgatgpi mkpe yrlltsi eiltlargvi hpa xk gka giixcillcm igxrguie mkpe ctsil pgatc t utsi mkp aji ltugrc ak etli rgx laetoi aji igiwm aji xrm ztcc vkwi zjig t ljrcc giix mkpe pgtaix laeiguaj pgatc ajra xrm t vrcc kg mkp bke aji jrex arlo kb xtlvtyctgi rgx eilaertga vtatqigl kb bergvi t rw yekpx ak jrsi rurtg pgxie wm vkwwrgx aji urccrga bkevil kb bergvi btujatgu hiltxi ajite rcctil ajim ztcc ycrm r zkeajm yrea tg aji cthieratkg kb ajite jkwicrgx hivrpli aji tgtatrc crgxtgu jrl hiig wrxi kg aji lktc kb mkpe vkpgaem t eiyira ak mkp ztaj isig ueiraie iwyjrltl wm willrui ak aji yikycil kb kajie kvvpytix vkpgaetil tg zilaieg ipekyi bkcckz aji tglaepvatkgl kb mkpe cirxiel r yeiwrapei pyetltgu kb rcc beigvjwig wrm yeisiga mkp bekw hitgu kb wrntwpw jicy ak mkpe vkpgaem tg aji vetatvrc jkpe hi yratiga yeiyrei rl lpyeiwi vkwwrgxie kb aji rcctix inyixtatkgrem bkevi ajiei tl twyklix kg wi aji xpam rgx eilykglthtctam kb arotgu rcc wirlpeil givillrem ak aji yeklivpatkg kb aji zre yekwya rgx ztcctgu khixtigvi ak aji kexiel ajra t ljrcc tllpi tl illigatrc ibbivatsi vtstc rxwtgtlaeratkg kb bergvi wpla hi yekstxix hm beigvjwig rcc yielkgl wpla vkgatgpi tg ajite yeiliga xpatil pgcill kajieztli tglaepvaix ajkli zjk jrsi wrxi vkwwkg vrpli ztaj aji igiwm rgx lk hiaermix ajite vkpgaem ztcc hi eiwksix rl bergvi tl cthieraix bekw jie kyyeillkel mkp mkpelicsil ztcc vjkkli mkpe eiyeiligaratsil rgx aji uksiegwiga pgxie zjtvj mkp ztlj ak ctsi tg aji vkpeli kb ajtl vrwyrtug bke aji btgrc xibira kb aji igiwm mkp wrm lplartg bpeajie ckll rgx xrwrui aerutv ajkpuj ajim wrm hi ajim rei yrea kb aji yetvi kb stvakem t rllpei mkp ajra t ljrcc xk rcc tg wm ykzie ak wtaturai mkpe jrexljtyl t ogkz ajra t vrg vkpga kg mkpe lairxbrlagill gkz gk cill ajrg tg aji yrla aji jiektv xiixl kb beigvjwig zjk jrsi vkgatgpix aji laepuuci rurtgla aji grqtl rgx ajite stvjm lraicctail tg bergvi rgx ajekpujkpa aji beigvj iwytei jrsi hiig rg inrwyci rgx rg tglyteratkg ak rcc kb pl ajtl crgxtgu tl hpa aji kyigtgu yjrli kb aji vrwyrtug tg zilaieg ipekyi ueira hraacil cti rjirx t vrcc pykg rcc zjk cksi beiixkw ak largx ztaj pl oiiy mkpe brtaj larpgvj kpe rewl rei eilkcpai akuiajie zi\n",
      "Iter 0 of start 2: smpsom pz imyumax mjapsm r orxhgxl iry erhm ufgy epaxgxl px ufm vpryu pz zarxvm wb uappsy pz ufm roogmh mcsmhgugpxrab zpavm ufgy orxhgxl gy srau pz ufm vpxvmaumh jxgumh xrugpxy sorx zpa ufm ogwmarugpx pz mjapsm erhm gx vpxdjxvugpx iguf pja lamru ajyygrx roogmy g frtm ufgy emyyrlm zpa roo pz bpj roufpjlf ufm gxgugro ryyrjou erb xpu frtm wmmx erhm gx bpja pix vpjxuab ufm fpja pz bpja ogwmarugpx gy rssaprvfgxl roo sruagpuy emx rxh ipemx bpjxl rxh poh frtm r srau up sorb gx ufm rvfgmtmemxu pz zgxro tgvupab up emewmay pz amygyurxvm eptmemxuy g yrb zpoopi ufm gxyuajvugpxy bpj frtm amvmgtmh up sruagpuy ifp ram xpu emewmay pz palrxgqmh amygyurxvm lapjsy g yrb vpxugxjm bpja sryygtm amygyurxvm wju hp xpu xmmhomyyob mxhrxlma bpja ogtmy jxugo g lgtm bpj ufm yglxro up agym rxh yuagkm ufm mxmeb ufm hrb igoo vpem ifmx g yfroo xmmh bpja jxgumh yuamxluf jxugo ufru hrb g vroo px bpj zpa ufm frah uryk pz hgyvgsogxm rxh amyuargxu vgugqmxy pz zarxvm g re sapjh up frtm rlrgx jxhma eb vpeerxh ufm lroorxu zpavmy pz zarxvm zglfugxl wmyghm ufmga roogmy ufmb igoo sorb r ipaufb srau gx ufm ogwmarugpx pz ufmga fpemorxh wmvrjym ufm gxgugro orxhgxl fry wmmx erhm px ufm ypgo pz bpja vpjxuab g amsmru up bpj iguf mtmx lamruma mesfrygy eb emyyrlm up ufm smpsomy pz pufma pvvjsgmh vpjxuagmy gx imyumax mjapsm zpoopi ufm gxyuajvugpxy pz bpja omrhmay r samerujam jsagygxl pz roo zamxvfemx erb samtmxu bpj zape wmgxl pz ercgeje fmos up bpja vpjxuab gx ufm vagugvro fpja wm srugmxu samsram ry yjsamem vpeerxhma pz ufm roogmh mcsmhgugpxrab zpavm ufmam gy gespymh px em ufm hjub rxh amyspxygwgogub pz urkgxl roo emryjamy xmvmyyrab up ufm sapymvjugpx pz ufm ira sapesu rxh igoogxl pwmhgmxvm up ufm pahmay ufru g yfroo gyyjm gy myymxugro mzzmvugtm vgtgo rhegxgyuarugpx pz zarxvm ejyu wm saptghmh wb zamxvfemx roo smaypxy ejyu vpxugxjm gx ufmga samymxu hjugmy jxomyy pufmaigym gxyuajvumh ufpym ifp frtm erhm vpeepx vrjym iguf ufm mxmeb rxh yp wmuarbmh ufmga vpjxuab igoo wm ameptmh ry zarxvm gy ogwmarumh zape fma pssamyypay bpj bpjaymotmy igoo vfppym bpja amsamymxurugtmy rxh ufm lptmaxemxu jxhma ifgvf bpj igyf up ogtm gx ufm vpjaym pz ufgy vresrglx zpa ufm zgxro hmzmru pz ufm mxmeb bpj erb yjyurgx zjaufma opyy rxh hrerlm uarlgv ufpjlf ufmb erb wm ufmb ram srau pz ufm sagvm pz tgvupab g ryyjam bpj ufru g yfroo hp roo gx eb spima up eguglrum bpja frahyfgsy g kxpi ufru g vrx vpjxu px bpja yumrhzryuxmyy xpi xp omyy ufrx gx ufm sryu ufm fmapgv hmmhy pz zamxvfemx ifp frtm vpxugxjmh ufm yuajllom rlrgxyu ufm xrqgy rxh ufmga tgvfb yrumoogumy gx zarxvm rxh ufapjlfpju ufm zamxvf mesgam frtm wmmx rx mcresom rxh rx gxysgarugpx up roo pz jy ufgy orxhgxl gy wju ufm psmxgxl sfrym pz ufm vresrglx gx imyumax mjapsm lamru wruuomy ogm rfmrh g vroo jspx roo ifp optm zammhpe up yurxh iguf jy kmms bpja zrguf yurjxvf pja raey ram amypojum uplmufma im\n",
      "Iter 0 of start 3: qmfqem fx rmhumwo mnwfqm c ecopyov rch tcpm ugyh tfwoyov fo ugm afchu fx xwcoam dj uwffqh fx ugm ceeymp mkqmpyuyfocwj xfwam ugyh ecopyov yh qcwu fx ugm afoamwump noyump ocuyfoh qeco xfw ugm eydmwcuyfo fx mnwfqm tcpm yo afolnoauyfo ryug fnw vwmcu wnhhyco ceeymh y gcbm ugyh tmhhcvm xfw cee fx jfn ceugfnvg ugm yoyuyce chhcneu tcj ofu gcbm dmmo tcpm yo jfnw fro afnouwj ugm gfnw fx jfnw eydmwcuyfo yh cqqwfcagyov cee qcuwyfuh tmo cop rftmo jfnov cop fep gcbm c qcwu uf qecj yo ugm cagymbmtmou fx xyoce byaufwj uf tmtdmwh fx wmhyhucoam tfbmtmouh y hcj xfeefr ugm yohuwnauyfoh jfn gcbm wmamybmp uf qcuwyfuh rgf cwm ofu tmtdmwh fx fwvcoyimp wmhyhucoam vwfnqh y hcj afouyonm jfnw qchhybm wmhyhucoam dnu pf ofu ommpemhhej mopcovmw jfnw eybmh nouye y vybm jfn ugm hyvoce uf wyhm cop huwysm ugm momtj ugm pcj ryee aftm rgmo y hgcee ommp jfnw noyump huwmovug nouye ugcu pcj y acee fo jfn xfw ugm gcwp uchs fx pyhayqeyom cop wmhuwcyou ayuyimoh fx xwcoam y ct qwfnp uf gcbm cvcyo nopmw tj afttcop ugm vceecou xfwamh fx xwcoam xyvguyov dmhypm ugmyw ceeymh ugmj ryee qecj c rfwugj qcwu yo ugm eydmwcuyfo fx ugmyw gftmecop dmacnhm ugm yoyuyce ecopyov gch dmmo tcpm fo ugm hfye fx jfnw afnouwj y wmqmcu uf jfn ryug mbmo vwmcumw mtqgchyh tj tmhhcvm uf ugm qmfqemh fx fugmw faanqymp afnouwymh yo rmhumwo mnwfqm xfeefr ugm yohuwnauyfoh fx jfnw emcpmwh c qwmtcunwm nqwyhyov fx cee xwmoagtmo tcj qwmbmou jfn xwft dmyov fx tckytnt gmeq uf jfnw afnouwj yo ugm awyuyace gfnw dm qcuymou qwmqcwm ch hnqwmtm afttcopmw fx ugm ceeymp mkqmpyuyfocwj xfwam ugmwm yh ytqfhmp fo tm ugm pnuj cop wmhqfohydyeyuj fx ucsyov cee tmchnwmh omamhhcwj uf ugm qwfhmanuyfo fx ugm rcw qwftqu cop ryeeyov fdmpymoam uf ugm fwpmwh ugcu y hgcee yhhnm yh mhhmouyce mxxmauybm aybye cptyoyhuwcuyfo fx xwcoam tnhu dm qwfbypmp dj xwmoagtmo cee qmwhfoh tnhu afouyonm yo ugmyw qwmhmou pnuymh noemhh fugmwryhm yohuwnaump ugfhm rgf gcbm tcpm afttfo acnhm ryug ugm momtj cop hf dmuwcjmp ugmyw afnouwj ryee dm wmtfbmp ch xwcoam yh eydmwcump xwft gmw fqqwmhhfwh jfn jfnwhmebmh ryee agffhm jfnw wmqwmhmoucuybmh cop ugm vfbmwotmou nopmw rgyag jfn ryhg uf eybm yo ugm afnwhm fx ugyh actqcyvo xfw ugm xyoce pmxmcu fx ugm momtj jfn tcj hnhucyo xnwugmw efhh cop pctcvm uwcvya ugfnvg ugmj tcj dm ugmj cwm qcwu fx ugm qwyam fx byaufwj y chhnwm jfn ugcu y hgcee pf cee yo tj qfrmw uf tyuyvcum jfnw gcwphgyqh y sofr ugcu y aco afnou fo jfnw humcpxchuomhh ofr of emhh ugco yo ugm qchu ugm gmwfya pmmph fx xwmoagtmo rgf gcbm afouyonmp ugm huwnvvem cvcyohu ugm ociyh cop ugmyw byagj hcumeeyumh yo xwcoam cop ugwfnvgfnu ugm xwmoag mtqywm gcbm dmmo co mkctqem cop co yohqywcuyfo uf cee fx nh ugyh ecopyov yh dnu ugm fqmoyov qgchm fx ugm actqcyvo yo rmhumwo mnwfqm vwmcu dcuuemh eym cgmcp y acee nqfo cee rgf efbm xwmmpft uf hucop ryug nh smmq jfnw xcyug hucnoag fnw cwth cwm wmhfenum ufvmugmw rm\n",
      "Not updating anymore after iteration 34\n",
      "Iter 0 of start 1: bokbdo kv qoemoyc ohykbo a dacjucg qae lajo miue lkycucg kc mio skaem kv vyacso tx mykkbe kv mio adduoj onbojumukcayx vkyso miue dacjucg ue baym kv mio skcsoymoj hcumoj camukce bdac vky mio dutoyamukc kv ohykbo lajo uc skcphcsmukc qumi khy gyoam yheeuac adduoe u iaro miue loeeago vky add kv xkh admikhgi mio ucumuad aeeahdm lax ckm iaro tooc lajo uc xkhy kqc skhcmyx mio ikhy kv xkhy dutoyamukc ue abbykasiucg add bamyukme loc acj qkloc xkhcg acj kdj iaro a baym mk bdax uc mio asiuorolocm kv vucad rusmkyx mk loltoye kv yoeuemacso lkrolocme u eax vkddkq mio ucemyhsmukce xkh iaro yosouroj mk bamyukme qik ayo ckm loltoye kv kygacuzoj yoeuemacso gykhbe u eax skcmucho xkhy baeeuro yoeuemacso thm jk ckm coojdoeedx ocjacgoy xkhy duroe hcmud u guro xkh mio eugcad mk yueo acj emyuwo mio ocolx mio jax qudd sklo qioc u eiadd cooj xkhy hcumoj emyocgmi hcmud miam jax u sadd kc xkh vky mio iayj maew kv juesubduco acj yoemyaucm sumuzoce kv vyacso u al bykhj mk iaro agauc hcjoy lx skllacj mio gaddacm vkysoe kv vyacso vugimucg toeujo miouy adduoe miox qudd bdax a qkymix baym uc mio dutoyamukc kv miouy iklodacj tosaheo mio ucumuad dacjucg iae tooc lajo kc mio ekud kv xkhy skhcmyx u yoboam mk xkh qumi oroc gyoamoy olbiaeue lx loeeago mk mio bokbdoe kv kmioy ksshbuoj skhcmyuoe uc qoemoyc ohykbo vkddkq mio ucemyhsmukce kv xkhy doajoye a byolamhyo hbyueucg kv add vyocsiloc lax byorocm xkh vykl toucg kv lanulhl iodb mk xkhy skhcmyx uc mio syumusad ikhy to bamuocm byobayo ae ehbyolo skllacjoy kv mio adduoj onbojumukcayx vkyso mioyo ue ulbkeoj kc lo mio jhmx acj yoebkceutudumx kv mawucg add loaehyoe cosoeeayx mk mio bykeoshmukc kv mio qay byklbm acj qudducg ktojuocso mk mio kyjoye miam u eiadd ueeho ue oeeocmuad ovvosmuro surud ajlucuemyamukc kv vyacso lhem to bykrujoj tx vyocsiloc add boyekce lhem skcmucho uc miouy byoeocm jhmuoe hcdoee kmioyqueo ucemyhsmoj mikeo qik iaro lajo skllkc saheo qumi mio ocolx acj ek tomyaxoj miouy skhcmyx qudd to yolkroj ae vyacso ue dutoyamoj vykl ioy kbbyoeekye xkh xkhyeodroe qudd sikkeo xkhy yobyoeocmamuroe acj mio gkroyclocm hcjoy qiusi xkh quei mk duro uc mio skhyeo kv miue salbaugc vky mio vucad jovoam kv mio ocolx xkh lax ehemauc vhymioy dkee acj jalago myagus mikhgi miox lax to miox ayo baym kv mio byuso kv rusmkyx u aeehyo xkh miam u eiadd jk add uc lx bkqoy mk lumugamo xkhy iayjeiube u wckq miam u sac skhcm kc xkhy emoajvaemcoee ckq ck doee miac uc mio baem mio ioykus jooje kv vyocsiloc qik iaro skcmuchoj mio emyhggdo agaucem mio cazue acj miouy rusix eamoddumoe uc vyacso acj miykhgikhm mio vyocsi olbuyo iaro tooc ac onalbdo acj ac ucebuyamukc mk add kv he miue dacjucg ue thm mio kbocucg biaeo kv mio salbaugc uc qoemoyc ohykbo gyoam tammdoe duo aioaj u sadd hbkc add qik dkro vyoojkl mk emacj qumi he woob xkhy vaumi emahcsi khy ayle ayo yoekdhmo mkgomioy qo eiadd asiuoro rusmkyx\n",
      "Iter 0 of start 2: rnprkn pi wneanqf nbqprn s ksfjhfl wse ysjn athe ypqfhfl pf atn mpsea pi iqsfmn co aqppre pi atn skkhnj ndrnjhahpfsqo ipqmn athe ksfjhfl he rsqa pi atn mpfmnqanj bfhanj fsahpfe rksf ipq atn khcnqsahpf pi nbqprn ysjn hf mpfvbfmahpf what pbq lqnsa qbeehsf skkhne h tsgn athe yneesln ipq skk pi opb skatpblt atn hfhahsk seesbka yso fpa tsgn cnnf ysjn hf opbq pwf mpbfaqo atn tpbq pi opbq khcnqsahpf he srrqpsmthfl skk rsaqhpae ynf sfj wpynf opbfl sfj pkj tsgn s rsqa ap rkso hf atn smthngnynfa pi ihfsk ghmapqo ap ynycnqe pi qneheasfmn ypgnynfae h eso ipkkpw atn hfeaqbmahpfe opb tsgn qnmnhgnj ap rsaqhpae wtp sqn fpa ynycnqe pi pqlsfhunj qneheasfmn lqpbre h eso mpfahfbn opbq rseehgn qneheasfmn cba jp fpa fnnjkneeko nfjsflnq opbq khgne bfahk h lhgn opb atn ehlfsk ap qhen sfj eaqhxn atn nfnyo atn jso whkk mpyn wtnf h etskk fnnj opbq bfhanj eaqnflat bfahk atsa jso h mskk pf opb ipq atn tsqj asex pi jhemhrkhfn sfj qneaqshfa mhahunfe pi iqsfmn h sy rqpbj ap tsgn slshf bfjnq yo mpyysfj atn lskksfa ipqmne pi iqsfmn ihltahfl cnehjn atnhq skkhne atno whkk rkso s wpqato rsqa hf atn khcnqsahpf pi atnhq tpynksfj cnmsben atn hfhahsk ksfjhfl tse cnnf ysjn pf atn ephk pi opbq mpbfaqo h qnrnsa ap opb what ngnf lqnsanq nyrtsehe yo yneesln ap atn rnprkne pi patnq pmmbrhnj mpbfaqhne hf wneanqf nbqprn ipkkpw atn hfeaqbmahpfe pi opbq knsjnqe s rqnysabqn brqhehfl pi skk iqnfmtynf yso rqngnfa opb iqpy cnhfl pi ysdhyby tnkr ap opbq mpbfaqo hf atn mqhahmsk tpbq cn rsahnfa rqnrsqn se ebrqnyn mpyysfjnq pi atn skkhnj ndrnjhahpfsqo ipqmn atnqn he hyrpenj pf yn atn jbao sfj qnerpfehchkhao pi asxhfl skk ynsebqne fnmneesqo ap atn rqpenmbahpf pi atn wsq rqpyra sfj whkkhfl pcnjhnfmn ap atn pqjnqe atsa h etskk heebn he neenfahsk niinmahgn mhghk sjyhfheaqsahpf pi iqsfmn ybea cn rqpghjnj co iqnfmtynf skk rnqepfe ybea mpfahfbn hf atnhq rqnenfa jbahne bfknee patnqwhen hfeaqbmanj atpen wtp tsgn ysjn mpyypf msben what atn nfnyo sfj ep cnaqsonj atnhq mpbfaqo whkk cn qnypgnj se iqsfmn he khcnqsanj iqpy tnq prrqneepqe opb opbqenkgne whkk mtppen opbq qnrqnenfasahgne sfj atn lpgnqfynfa bfjnq wthmt opb whet ap khgn hf atn mpbqen pi athe msyrshlf ipq atn ihfsk jninsa pi atn nfnyo opb yso ebeashf ibqatnq kpee sfj jsysln aqslhm atpblt atno yso cn atno sqn rsqa pi atn rqhmn pi ghmapqo h seebqn opb atsa h etskk jp skk hf yo rpwnq ap yhahlsan opbq tsqjethre h xfpw atsa h msf mpbfa pf opbq eansjiseafnee fpw fp knee atsf hf atn rsea atn tnqphm jnnje pi iqnfmtynf wtp tsgn mpfahfbnj atn eaqbllkn slshfea atn fsuhe sfj atnhq ghmto esankkhane hf iqsfmn sfj atqpbltpba atn iqnfmt nyrhqn tsgn cnnf sf ndsyrkn sfj sf hferhqsahpf ap skk pi be athe ksfjhfl he cba atn prnfhfl rtsen pi atn msyrshlf hf wneanqf nbqprn lqnsa csaakne khn stnsj h mskk brpf skk wtp kpgn iqnnjpy ap easfj what be xnnr opbq ishat easbfmt pbq sqye sqn qnepkban aplnatnq wn etskk smthngn ghmapqo\n",
      "Iter 0 of start 3: ubduxb dh abrqbng bendub j xjgpmgi ajr vjpb qsmr vdngmgi dg qsb tdjrq dh hnjgtb lk qnddur dh qsb jxxmbp bzubpmqmdgjnk hdntb qsmr xjgpmgi mr ujnq dh qsb tdgtbnqbp egmqbp gjqmdgr uxjg hdn qsb xmlbnjqmdg dh bendub vjpb mg tdgoegtqmdg amqs den inbjq nerrmjg jxxmbr m sjyb qsmr vbrrjib hdn jxx dh kde jxqsdeis qsb mgmqmjx jrrjexq vjk gdq sjyb lbbg vjpb mg kden dag tdegqnk qsb sden dh kden xmlbnjqmdg mr juundjtsmgi jxx ujqnmdqr vbg jgp advbg kdegi jgp dxp sjyb j ujnq qd uxjk mg qsb jtsmbybvbgq dh hmgjx ymtqdnk qd vbvlbnr dh nbrmrqjgtb vdybvbgqr m rjk hdxxda qsb mgrqnetqmdgr kde sjyb nbtbmybp qd ujqnmdqr asd jnb gdq vbvlbnr dh dnijgmwbp nbrmrqjgtb indeur m rjk tdgqmgeb kden ujrrmyb nbrmrqjgtb leq pd gdq gbbpxbrrxk bgpjgibn kden xmybr egqmx m imyb kde qsb rmigjx qd nmrb jgp rqnmcb qsb bgbvk qsb pjk amxx tdvb asbg m rsjxx gbbp kden egmqbp rqnbgiqs egqmx qsjq pjk m tjxx dg kde hdn qsb sjnp qjrc dh pmrtmuxmgb jgp nbrqnjmgq tmqmwbgr dh hnjgtb m jv undep qd sjyb jijmg egpbn vk tdvvjgp qsb ijxxjgq hdntbr dh hnjgtb hmisqmgi lbrmpb qsbmn jxxmbr qsbk amxx uxjk j adnqsk ujnq mg qsb xmlbnjqmdg dh qsbmn sdvbxjgp lbtjerb qsb mgmqmjx xjgpmgi sjr lbbg vjpb dg qsb rdmx dh kden tdegqnk m nbubjq qd kde amqs bybg inbjqbn bvusjrmr vk vbrrjib qd qsb ubduxbr dh dqsbn dtteumbp tdegqnmbr mg abrqbng bendub hdxxda qsb mgrqnetqmdgr dh kden xbjpbnr j unbvjqenb eunmrmgi dh jxx hnbgtsvbg vjk unbybgq kde hndv lbmgi dh vjzmvev sbxu qd kden tdegqnk mg qsb tnmqmtjx sden lb ujqmbgq unbujnb jr reunbvb tdvvjgpbn dh qsb jxxmbp bzubpmqmdgjnk hdntb qsbnb mr mvudrbp dg vb qsb peqk jgp nbrudgrmlmxmqk dh qjcmgi jxx vbjrenbr gbtbrrjnk qd qsb undrbteqmdg dh qsb ajn undvuq jgp amxxmgi dlbpmbgtb qd qsb dnpbnr qsjq m rsjxx mrreb mr brrbgqmjx bhhbtqmyb tmymx jpvmgmrqnjqmdg dh hnjgtb verq lb undympbp lk hnbgtsvbg jxx ubnrdgr verq tdgqmgeb mg qsbmn unbrbgq peqmbr egxbrr dqsbnamrb mgrqnetqbp qsdrb asd sjyb vjpb tdvvdg tjerb amqs qsb bgbvk jgp rd lbqnjkbp qsbmn tdegqnk amxx lb nbvdybp jr hnjgtb mr xmlbnjqbp hndv sbn duunbrrdnr kde kdenrbxybr amxx tsddrb kden nbunbrbgqjqmybr jgp qsb idybngvbgq egpbn asmts kde amrs qd xmyb mg qsb tdenrb dh qsmr tjvujmig hdn qsb hmgjx pbhbjq dh qsb bgbvk kde vjk rerqjmg henqsbn xdrr jgp pjvjib qnjimt qsdeis qsbk vjk lb qsbk jnb ujnq dh qsb unmtb dh ymtqdnk m jrrenb kde qsjq m rsjxx pd jxx mg vk udabn qd vmqmijqb kden sjnprsmur m cgda qsjq m tjg tdegq dg kden rqbjphjrqgbrr gda gd xbrr qsjg mg qsb ujrq qsb sbndmt pbbpr dh hnbgtsvbg asd sjyb tdgqmgebp qsb rqneiixb jijmgrq qsb gjwmr jgp qsbmn ymtsk rjqbxxmqbr mg hnjgtb jgp qsndeisdeq qsb hnbgts bvumnb sjyb lbbg jg bzjvuxb jgp jg mgrumnjqmdg qd jxx dh er qsmr xjgpmgi mr leq qsb dubgmgi usjrb dh qsb tjvujmig mg abrqbng bendub inbjq ljqqxbr xmb jsbjp m tjxx eudg jxx asd xdyb hnbbpdv qd rqjgp amqs er cbbu kden hjmqs rqjegts den jnvr jnb nbrdxeqb qdibqsbn ab rsjxx jtsmbyb ymtqdnk\n",
      "Not updating anymore after iteration 34\n",
      "Iter 0 of start 1: dhbdnh bf chophyk hjybdh l nlkzsku clo elzh pwso ebyksku bk pwh xblop bf fylkxh ir pybbdo bf pwh lnnshz hadhzspsbklyr fbyxh pwso nlkzsku so dlyp bf pwh xbkxhyphz jksphz klpsbko dnlk fby pwh nsihylpsbk bf hjybdh elzh sk xbkgjkxpsbk cspw bjy uyhlp yjooslk lnnsho s wlqh pwso ehooluh fby lnn bf rbj lnpwbjuw pwh skspsln looljnp elr kbp wlqh ihhk elzh sk rbjy bck xbjkpyr pwh wbjy bf rbjy nsihylpsbk so lddyblxwsku lnn dlpysbpo ehk lkz cbehk rbjku lkz bnz wlqh l dlyp pb dnlr sk pwh lxwshqhehkp bf fskln qsxpbyr pb eheihyo bf yhosoplkxh ebqhehkpo s olr fbnnbc pwh skopyjxpsbko rbj wlqh yhxhsqhz pb dlpysbpo cwb lyh kbp eheihyo bf byulksvhz yhosoplkxh uybjdo s olr xbkpskjh rbjy dloosqh yhosoplkxh ijp zb kbp khhznhoonr hkzlkuhy rbjy nsqho jkpsn s usqh rbj pwh osukln pb ysoh lkz opysth pwh hkher pwh zlr csnn xbeh cwhk s owlnn khhz rbjy jksphz opyhkupw jkpsn pwlp zlr s xlnn bk rbj fby pwh wlyz plot bf zsoxsdnskh lkz yhopylskp xspsvhko bf fylkxh s le dybjz pb wlqh lulsk jkzhy er xbeelkz pwh ulnnlkp fbyxho bf fylkxh fsuwpsku ihoszh pwhsy lnnsho pwhr csnn dnlr l cbypwr dlyp sk pwh nsihylpsbk bf pwhsy wbehnlkz ihxljoh pwh skspsln nlkzsku wlo ihhk elzh bk pwh obsn bf rbjy xbjkpyr s yhdhlp pb rbj cspw hqhk uyhlphy hedwloso er ehooluh pb pwh dhbdnho bf bpwhy bxxjdshz xbjkpysho sk chophyk hjybdh fbnnbc pwh skopyjxpsbko bf rbjy nhlzhyo l dyhelpjyh jdysosku bf lnn fyhkxwehk elr dyhqhkp rbj fybe ihsku bf elaseje whnd pb rbjy xbjkpyr sk pwh xyspsxln wbjy ih dlpshkp dyhdlyh lo ojdyheh xbeelkzhy bf pwh lnnshz hadhzspsbklyr fbyxh pwhyh so sedbohz bk eh pwh zjpr lkz yhodbkosisnspr bf pltsku lnn ehlojyho khxhoolyr pb pwh dybohxjpsbk bf pwh cly dybedp lkz csnnsku bihzshkxh pb pwh byzhyo pwlp s owlnn soojh so hoohkpsln hffhxpsqh xsqsn lzesksopylpsbk bf fylkxh ejop ih dybqszhz ir fyhkxwehk lnn dhyobko ejop xbkpskjh sk pwhsy dyhohkp zjpsho jknhoo bpwhycsoh skopyjxphz pwboh cwb wlqh elzh xbeebk xljoh cspw pwh hkher lkz ob ihpylrhz pwhsy xbjkpyr csnn ih yhebqhz lo fylkxh so nsihylphz fybe why bddyhoobyo rbj rbjyohnqho csnn xwbboh rbjy yhdyhohkplpsqho lkz pwh ubqhykehkp jkzhy cwsxw rbj csow pb nsqh sk pwh xbjyoh bf pwso xledlsuk fby pwh fskln zhfhlp bf pwh hkher rbj elr ojoplsk fjypwhy nboo lkz zleluh pylusx pwbjuw pwhr elr ih pwhr lyh dlyp bf pwh dysxh bf qsxpbyr s loojyh rbj pwlp s owlnn zb lnn sk er dbchy pb espsulph rbjy wlyzowsdo s tkbc pwlp s xlk xbjkp bk rbjy ophlzflopkhoo kbc kb nhoo pwlk sk pwh dlop pwh whybsx zhhzo bf fyhkxwehk cwb wlqh xbkpskjhz pwh opyjuunh lulskop pwh klvso lkz pwhsy qsxwr olphnnspho sk fylkxh lkz pwybjuwbjp pwh fyhkxw hedsyh wlqh ihhk lk halednh lkz lk skodsylpsbk pb lnn bf jo pwso nlkzsku so ijp pwh bdhksku dwloh bf pwh xledlsuk sk chophyk hjybdh uyhlp ilppnho nsh lwhlz s xlnn jdbk lnn cwb nbqh fyhhzbe pb oplkz cspw jo thhd rbjy flspw opljkxw bjy lyeo lyh yhobnjph pbuhpwhy ch owlnn lxwshqh qsxpbyr\n",
      "Iter 0 of start 2: sbmslb mg abvrbep bjemsb i lipcdpf aiv wicb rqdv wmepdpf mp rqb tmivr mg geiptb oh remmsv mg rqb illdbc bxsbcdrdmpieh gmetb rqdv lipcdpf dv sier mg rqb tmptberbc jpdrbc pirdmpv slip gme rqb ldobeirdmp mg bjemsb wicb dp tmpujptrdmp adrq mje febir ejvvdip illdbv d qizb rqdv wbvvifb gme ill mg hmj ilrqmjfq rqb dpdrdil ivvijlr wih pmr qizb obbp wicb dp hmje map tmjpreh rqb qmje mg hmje ldobeirdmp dv issemitqdpf ill siredmrv wbp ipc amwbp hmjpf ipc mlc qizb i sier rm slih dp rqb itqdbzbwbpr mg gdpil zdtrmeh rm wbwobev mg ebvdvriptb wmzbwbprv d vih gmllma rqb dpvrejtrdmpv hmj qizb ebtbdzbc rm siredmrv aqm ieb pmr wbwobev mg mefipdybc ebvdvriptb femjsv d vih tmprdpjb hmje sivvdzb ebvdvriptb ojr cm pmr pbbclbvvlh bpcipfbe hmje ldzbv jprdl d fdzb hmj rqb vdfpil rm edvb ipc vredkb rqb bpbwh rqb cih adll tmwb aqbp d vqill pbbc hmje jpdrbc vrebpfrq jprdl rqir cih d till mp hmj gme rqb qiec rivk mg cdvtdsldpb ipc ebvreidpr tdrdybpv mg geiptb d iw semjc rm qizb ifidp jpcbe wh tmwwipc rqb fillipr gmetbv mg geiptb gdfqrdpf obvdcb rqbde illdbv rqbh adll slih i amerqh sier dp rqb ldobeirdmp mg rqbde qmwblipc obtijvb rqb dpdrdil lipcdpf qiv obbp wicb mp rqb vmdl mg hmje tmjpreh d ebsbir rm hmj adrq bzbp febirbe bwsqivdv wh wbvvifb rm rqb sbmslbv mg mrqbe mttjsdbc tmjpredbv dp abvrbep bjemsb gmllma rqb dpvrejtrdmpv mg hmje lbicbev i sebwirjeb jsedvdpf mg ill gebptqwbp wih sebzbpr hmj gemw obdpf mg wixdwjw qbls rm hmje tmjpreh dp rqb tedrdtil qmje ob sirdbpr sebsieb iv vjsebwb tmwwipcbe mg rqb illdbc bxsbcdrdmpieh gmetb rqbeb dv dwsmvbc mp wb rqb cjrh ipc ebvsmpvdodldrh mg rikdpf ill wbivjebv pbtbvvieh rm rqb semvbtjrdmp mg rqb aie semwsr ipc adlldpf mobcdbptb rm rqb mecbev rqir d vqill dvvjb dv bvvbprdil bggbtrdzb tdzdl icwdpdvreirdmp mg geiptb wjvr ob semzdcbc oh gebptqwbp ill sbevmpv wjvr tmprdpjb dp rqbde sebvbpr cjrdbv jplbvv mrqbeadvb dpvrejtrbc rqmvb aqm qizb wicb tmwwmp tijvb adrq rqb bpbwh ipc vm obreihbc rqbde tmjpreh adll ob ebwmzbc iv geiptb dv ldobeirbc gemw qbe mssebvvmev hmj hmjevblzbv adll tqmmvb hmje ebsebvbprirdzbv ipc rqb fmzbepwbpr jpcbe aqdtq hmj advq rm ldzb dp rqb tmjevb mg rqdv tiwsidfp gme rqb gdpil cbgbir mg rqb bpbwh hmj wih vjvridp gjerqbe lmvv ipc ciwifb reifdt rqmjfq rqbh wih ob rqbh ieb sier mg rqb sedtb mg zdtrmeh d ivvjeb hmj rqir d vqill cm ill dp wh smabe rm wdrdfirb hmje qiecvqdsv d kpma rqir d tip tmjpr mp hmje vrbicgivrpbvv pma pm lbvv rqip dp rqb sivr rqb qbemdt cbbcv mg gebptqwbp aqm qizb tmprdpjbc rqb vrejfflb ifidpvr rqb piydv ipc rqbde zdtqh virblldrbv dp geiptb ipc rqemjfqmjr rqb gebptq bwsdeb qizb obbp ip bxiwslb ipc ip dpvsdeirdmp rm ill mg jv rqdv lipcdpf dv ojr rqb msbpdpf sqivb mg rqb tiwsidfp dp abvrbep bjemsb febir oirrlbv ldb iqbic d till jsmp ill aqm lmzb gebbcmw rm vripc adrq jv kbbs hmje gidrq vrijptq mje iewv ieb ebvmljrb rmfbrqbe ab vqill itqdbzb zdtrmeh\n",
      "Iter 0 of start 3: sdasud al zdbjdcw dqcasd g ugwynwf zgb vgyd jpnb vacwnwf aw jpd hagbj al lcgwhd rk jcaasb al jpd guundy dosdynjnawgck lachd jpnb ugwynwf nb sgcj al jpd hawhdcjdy qwnjdy wgjnawb sugw lac jpd unrdcgjnaw al dqcasd vgyd nw hawmqwhjnaw znjp aqc fcdgj cqbbngw guundb n pged jpnb vdbbgfd lac guu al kaq gujpaqfp jpd nwnjngu gbbgquj vgk waj pged rddw vgyd nw kaqc azw haqwjck jpd paqc al kaqc unrdcgjnaw nb gsscaghpnwf guu sgjcnajb vdw gwy zavdw kaqwf gwy auy pged g sgcj ja sugk nw jpd ghpndedvdwj al lnwgu enhjack ja vdvrdcb al cdbnbjgwhd vaedvdwjb n bgk lauuaz jpd nwbjcqhjnawb kaq pged cdhdnedy ja sgjcnajb zpa gcd waj vdvrdcb al acfgwnidy cdbnbjgwhd fcaqsb n bgk hawjnwqd kaqc sgbbned cdbnbjgwhd rqj ya waj wddyudbbuk dwygwfdc kaqc unedb qwjnu n fned kaq jpd bnfwgu ja cnbd gwy bjcnxd jpd dwdvk jpd ygk znuu havd zpdw n bpguu wddy kaqc qwnjdy bjcdwfjp qwjnu jpgj ygk n hguu aw kaq lac jpd pgcy jgbx al ynbhnsunwd gwy cdbjcgnwj hnjnidwb al lcgwhd n gv scaqy ja pged gfgnw qwydc vk havvgwy jpd fguugwj lachdb al lcgwhd lnfpjnwf rdbnyd jpdnc guundb jpdk znuu sugk g zacjpk sgcj nw jpd unrdcgjnaw al jpdnc pavdugwy rdhgqbd jpd nwnjngu ugwynwf pgb rddw vgyd aw jpd banu al kaqc haqwjck n cdsdgj ja kaq znjp dedw fcdgjdc dvspgbnb vk vdbbgfd ja jpd sdasudb al ajpdc ahhqsndy haqwjcndb nw zdbjdcw dqcasd lauuaz jpd nwbjcqhjnawb al kaqc udgydcb g scdvgjqcd qscnbnwf al guu lcdwhpvdw vgk scdedwj kaq lcav rdnwf al vgonvqv pdus ja kaqc haqwjck nw jpd hcnjnhgu paqc rd sgjndwj scdsgcd gb bqscdvd havvgwydc al jpd guundy dosdynjnawgck lachd jpdcd nb nvsabdy aw vd jpd yqjk gwy cdbsawbnrnunjk al jgxnwf guu vdgbqcdb wdhdbbgck ja jpd scabdhqjnaw al jpd zgc scavsj gwy znuunwf ardyndwhd ja jpd acydcb jpgj n bpguu nbbqd nb dbbdwjngu dlldhjned hnenu gyvnwnbjcgjnaw al lcgwhd vqbj rd scaenydy rk lcdwhpvdw guu sdcbawb vqbj hawjnwqd nw jpdnc scdbdwj yqjndb qwudbb ajpdcznbd nwbjcqhjdy jpabd zpa pged vgyd havvaw hgqbd znjp jpd dwdvk gwy ba rdjcgkdy jpdnc haqwjck znuu rd cdvaedy gb lcgwhd nb unrdcgjdy lcav pdc asscdbbacb kaq kaqcbduedb znuu hpaabd kaqc cdscdbdwjgjnedb gwy jpd faedcwvdwj qwydc zpnhp kaq znbp ja uned nw jpd haqcbd al jpnb hgvsgnfw lac jpd lnwgu ydldgj al jpd dwdvk kaq vgk bqbjgnw lqcjpdc uabb gwy ygvgfd jcgfnh jpaqfp jpdk vgk rd jpdk gcd sgcj al jpd scnhd al enhjack n gbbqcd kaq jpgj n bpguu ya guu nw vk sazdc ja vnjnfgjd kaqc pgcybpnsb n xwaz jpgj n hgw haqwj aw kaqc bjdgylgbjwdbb waz wa udbb jpgw nw jpd sgbj jpd pdcanh yddyb al lcdwhpvdw zpa pged hawjnwqdy jpd bjcqffud gfgnwbj jpd wginb gwy jpdnc enhpk bgjduunjdb nw lcgwhd gwy jpcaqfpaqj jpd lcdwhp dvsncd pged rddw gw dogvsud gwy gw nwbsncgjnaw ja guu al qb jpnb ugwynwf nb rqj jpd asdwnwf spgbd al jpd hgvsgnfw nw zdbjdcw dqcasd fcdgj rgjjudb und gpdgy n hguu qsaw guu zpa uaed lcddyav ja bjgwy znjp qb xdds kaqc lgnjp bjgqwhp aqc gcvb gcd cdbauqjd jafdjpdc zd bpguu ghpnded enhjack\n",
      "Not updating anymore after iteration 34\n",
      "Iter 0 of start 1: nkcnmk cl okeukfh kqfcnk j mjhzthp oje ajzk uyte acfhthp ch uyk icjeu cl lfjhik dr ufccne cl uyk jmmtkz kxnkztutchjfr lcfik uyte mjhzthp te njfu cl uyk ichikfukz qhtukz hjutche nmjh lcf uyk mtdkfjutch cl kqfcnk ajzk th ichbqhiutch otuy cqf pfkju fqeetjh jmmtke t yjgk uyte akeejpk lcf jmm cl rcq jmuycqpy uyk thtutjm jeejqmu ajr hcu yjgk dkkh ajzk th rcqf coh icqhufr uyk ycqf cl rcqf mtdkfjutch te jnnfcjiythp jmm njuftcue akh jhz ocakh rcqhp jhz cmz yjgk j njfu uc nmjr th uyk jiytkgkakhu cl lthjm gtiucfr uc akadkfe cl fketeujhik acgkakhue t ejr lcmmco uyk theufqiutche rcq yjgk fkiktgkz uc njuftcue oyc jfk hcu akadkfe cl cfpjhtwkz fketeujhik pfcqne t ejr ichuthqk rcqf njeetgk fketeujhik dqu zc hcu hkkzmkeemr khzjhpkf rcqf mtgke qhutm t ptgk rcq uyk etphjm uc ftek jhz euftvk uyk khkar uyk zjr otmm icak oykh t eyjmm hkkz rcqf qhtukz eufkhpuy qhutm uyju zjr t ijmm ch rcq lcf uyk yjfz ujev cl zteitnmthk jhz fkeufjthu itutwkhe cl lfjhik t ja nfcqz uc yjgk jpjth qhzkf ar icaajhz uyk pjmmjhu lcfike cl lfjhik ltpyuthp dketzk uyktf jmmtke uykr otmm nmjr j ocfuyr njfu th uyk mtdkfjutch cl uyktf ycakmjhz dkijqek uyk thtutjm mjhzthp yje dkkh ajzk ch uyk ectm cl rcqf icqhufr t fknkju uc rcq otuy kgkh pfkjukf kanyjete ar akeejpk uc uyk nkcnmke cl cuykf ciiqntkz icqhuftke th okeukfh kqfcnk lcmmco uyk theufqiutche cl rcqf mkjzkfe j nfkajuqfk qnftethp cl jmm lfkhiyakh ajr nfkgkhu rcq lfca dkthp cl ajxtaqa ykmn uc rcqf icqhufr th uyk iftutijm ycqf dk njutkhu nfknjfk je eqnfkak icaajhzkf cl uyk jmmtkz kxnkztutchjfr lcfik uykfk te tancekz ch ak uyk zqur jhz fkenchetdtmtur cl ujvthp jmm akjeqfke hkikeejfr uc uyk nfcekiqutch cl uyk ojf nfcanu jhz otmmthp cdkztkhik uc uyk cfzkfe uyju t eyjmm teeqk te keekhutjm kllkiutgk itgtm jzathteufjutch cl lfjhik aqeu dk nfcgtzkz dr lfkhiyakh jmm nkfeche aqeu ichuthqk th uyktf nfkekhu zqutke qhmkee cuykfotek theufqiukz uycek oyc yjgk ajzk icaach ijqek otuy uyk khkar jhz ec dkufjrkz uyktf icqhufr otmm dk fkacgkz je lfjhik te mtdkfjukz lfca ykf cnnfkeecfe rcq rcqfekmgke otmm iyccek rcqf fknfkekhujutgke jhz uyk pcgkfhakhu qhzkf oytiy rcq otey uc mtgk th uyk icqfek cl uyte ijanjtph lcf uyk lthjm zklkju cl uyk khkar rcq ajr eqeujth lqfuykf mcee jhz zjajpk ufjpti uycqpy uykr ajr dk uykr jfk njfu cl uyk nftik cl gtiucfr t jeeqfk rcq uyju t eyjmm zc jmm th ar ncokf uc atutpjuk rcqf yjfzeytne t vhco uyju t ijh icqhu ch rcqf eukjzljeuhkee hco hc mkee uyjh th uyk njeu uyk ykfcti zkkze cl lfkhiyakh oyc yjgk ichuthqkz uyk eufqppmk jpjtheu uyk hjwte jhz uyktf gtiyr ejukmmtuke th lfjhik jhz uyfcqpycqu uyk lfkhiy kantfk yjgk dkkh jh kxjanmk jhz jh thentfjutch uc jmm cl qe uyte mjhzthp te dqu uyk cnkhthp nyjek cl uyk ijanjtph th okeukfh kqfcnk pfkju djuumke mtk jykjz t ijmm qnch jmm oyc mcgk lfkkzca uc eujhz otuy qe vkkn rcqf ljtuy eujqhiy cqf jfae jfk fkecmquk ucpkuykf ok eyjmm jiytkgk gtiucfr\n",
      "Iter 0 of start 2: etfeat fm jtlxtrw tgrfet q aqwbnwk jql yqbt xpnl yfrwnwk fw xpt dfqlx fm mrqwdt zi xrffel fm xpt qaantb toetbnxnfwqri mfrdt xpnl aqwbnwk nl eqrx fm xpt dfwdtrxtb gwnxtb wqxnfwl eaqw mfr xpt anztrqxnfw fm tgrfet yqbt nw dfwhgwdxnfw jnxp fgr krtqx rgllnqw qaantl n pqvt xpnl ytllqkt mfr qaa fm ifg qaxpfgkp xpt nwnxnqa qllqgax yqi wfx pqvt zttw yqbt nw ifgr fjw dfgwxri xpt pfgr fm ifgr anztrqxnfw nl qeerfqdpnwk qaa eqxrnfxl ytw qwb jfytw ifgwk qwb fab pqvt q eqrx xf eaqi nw xpt qdpntvtytwx fm mnwqa vndxfri xf ytyztrl fm rtlnlxqwdt yfvtytwxl n lqi mfaafj xpt nwlxrgdxnfwl ifg pqvt rtdtnvtb xf eqxrnfxl jpf qrt wfx ytyztrl fm frkqwnutb rtlnlxqwdt krfgel n lqi dfwxnwgt ifgr eqllnvt rtlnlxqwdt zgx bf wfx wttbatllai twbqwktr ifgr anvtl gwxna n knvt ifg xpt lnkwqa xf rnlt qwb lxrnst xpt twtyi xpt bqi jnaa dfyt jptw n lpqaa wttb ifgr gwnxtb lxrtwkxp gwxna xpqx bqi n dqaa fw ifg mfr xpt pqrb xqls fm bnldneanwt qwb rtlxrqnwx dnxnutwl fm mrqwdt n qy erfgb xf pqvt qkqnw gwbtr yi dfyyqwb xpt kqaaqwx mfrdtl fm mrqwdt mnkpxnwk ztlnbt xptnr qaantl xpti jnaa eaqi q jfrxpi eqrx nw xpt anztrqxnfw fm xptnr pfytaqwb ztdqglt xpt nwnxnqa aqwbnwk pql zttw yqbt fw xpt lfna fm ifgr dfgwxri n rtetqx xf ifg jnxp tvtw krtqxtr tyepqlnl yi ytllqkt xf xpt etfeatl fm fxptr fddgentb dfgwxrntl nw jtlxtrw tgrfet mfaafj xpt nwlxrgdxnfwl fm ifgr atqbtrl q ertyqxgrt gernlnwk fm qaa mrtwdpytw yqi ertvtwx ifg mrfy ztnwk fm yqonygy ptae xf ifgr dfgwxri nw xpt drnxndqa pfgr zt eqxntwx erteqrt ql lgertyt dfyyqwbtr fm xpt qaantb toetbnxnfwqri mfrdt xptrt nl nyefltb fw yt xpt bgxi qwb rtlefwlnznanxi fm xqsnwk qaa ytqlgrtl wtdtllqri xf xpt erfltdgxnfw fm xpt jqr erfyex qwb jnaanwk fztbntwdt xf xpt frbtrl xpqx n lpqaa nllgt nl tlltwxnqa tmmtdxnvt dnvna qbynwnlxrqxnfw fm mrqwdt yglx zt erfvnbtb zi mrtwdpytw qaa etrlfwl yglx dfwxnwgt nw xptnr ertltwx bgxntl gwatll fxptrjnlt nwlxrgdxtb xpflt jpf pqvt yqbt dfyyfw dqglt jnxp xpt twtyi qwb lf ztxrqitb xptnr dfgwxri jnaa zt rtyfvtb ql mrqwdt nl anztrqxtb mrfy ptr feertllfrl ifg ifgrltavtl jnaa dpfflt ifgr rtertltwxqxnvtl qwb xpt kfvtrwytwx gwbtr jpndp ifg jnlp xf anvt nw xpt dfgrlt fm xpnl dqyeqnkw mfr xpt mnwqa btmtqx fm xpt twtyi ifg yqi lglxqnw mgrxptr afll qwb bqyqkt xrqknd xpfgkp xpti yqi zt xpti qrt eqrx fm xpt erndt fm vndxfri n qllgrt ifg xpqx n lpqaa bf qaa nw yi efjtr xf ynxnkqxt ifgr pqrblpnel n swfj xpqx n dqw dfgwx fw ifgr lxtqbmqlxwtll wfj wf atll xpqw nw xpt eqlx xpt ptrfnd bttbl fm mrtwdpytw jpf pqvt dfwxnwgtb xpt lxrgkkat qkqnwlx xpt wqunl qwb xptnr vndpi lqxtaanxtl nw mrqwdt qwb xprfgkpfgx xpt mrtwdp tyenrt pqvt zttw qw toqyeat qwb qw nwlenrqxnfw xf qaa fm gl xpnl aqwbnwk nl zgx xpt fetwnwk epqlt fm xpt dqyeqnkw nw jtlxtrw tgrfet krtqx zqxxatl ant qptqb n dqaa gefw qaa jpf afvt mrttbfy xf lxqwb jnxp gl stte ifgr mqnxp lxqgwdp fgr qryl qrt rtlfagxt xfktxptr jt lpqaa qdpntvt vndxfri\n",
      "Iter 0 of start 3: emqesm qd fmnxmuh mzuqem k skhaphj fkn rkam xwpn rquhphj qh xwm vqknx qd dukhvm tc xuqqen qd xwm ksspma miemapxpqhkuc dquvm xwpn skhaphj pn ekux qd xwm vqhvmuxma zhpxma hkxpqhn eskh dqu xwm sptmukxpqh qd mzuqem rkam ph vqhgzhvxpqh fpxw qzu jumkx uznnpkh ksspmn p wkom xwpn rmnnkjm dqu kss qd cqz ksxwqzjw xwm phpxpks knnkzsx rkc hqx wkom tmmh rkam ph cqzu qfh vqzhxuc xwm wqzu qd cqzu sptmukxpqh pn keeuqkvwphj kss ekxupqxn rmh kha fqrmh cqzhj kha qsa wkom k ekux xq eskc ph xwm kvwpmomrmhx qd dphks opvxquc xq rmrtmun qd umnpnxkhvm rqomrmhxn p nkc dqssqf xwm phnxuzvxpqhn cqz wkom umvmpoma xq ekxupqxn fwq kum hqx rmrtmun qd qujkhpbma umnpnxkhvm juqzen p nkc vqhxphzm cqzu eknnpom umnpnxkhvm tzx aq hqx hmmasmnnsc mhakhjmu cqzu spomn zhxps p jpom cqz xwm npjhks xq upnm kha nxuplm xwm mhmrc xwm akc fpss vqrm fwmh p nwkss hmma cqzu zhpxma nxumhjxw zhxps xwkx akc p vkss qh cqz dqu xwm wkua xknl qd apnvpesphm kha umnxukphx vpxpbmhn qd dukhvm p kr euqza xq wkom kjkph zhamu rc vqrrkha xwm jksskhx dquvmn qd dukhvm dpjwxphj tmnpam xwmpu ksspmn xwmc fpss eskc k fquxwc ekux ph xwm sptmukxpqh qd xwmpu wqrmskha tmvkznm xwm phpxpks skhaphj wkn tmmh rkam qh xwm nqps qd cqzu vqzhxuc p umemkx xq cqz fpxw momh jumkxmu mrewknpn rc rmnnkjm xq xwm emqesmn qd qxwmu qvvzepma vqzhxupmn ph fmnxmuh mzuqem dqssqf xwm phnxuzvxpqhn qd cqzu smkamun k eumrkxzum zeupnphj qd kss dumhvwrmh rkc eumomhx cqz duqr tmphj qd rkiprzr wmse xq cqzu vqzhxuc ph xwm vupxpvks wqzu tm ekxpmhx eumekum kn nzeumrm vqrrkhamu qd xwm ksspma miemapxpqhkuc dquvm xwmum pn preqnma qh rm xwm azxc kha umneqhnptpspxc qd xklphj kss rmknzumn hmvmnnkuc xq xwm euqnmvzxpqh qd xwm fku euqrex kha fpssphj qtmapmhvm xq xwm quamun xwkx p nwkss pnnzm pn mnnmhxpks mddmvxpom vpops karphpnxukxpqh qd dukhvm rznx tm euqopama tc dumhvwrmh kss emunqhn rznx vqhxphzm ph xwmpu eumnmhx azxpmn zhsmnn qxwmufpnm phnxuzvxma xwqnm fwq wkom rkam vqrrqh vkznm fpxw xwm mhmrc kha nq tmxukcma xwmpu vqzhxuc fpss tm umrqoma kn dukhvm pn sptmukxma duqr wmu qeeumnnqun cqz cqzunmsomn fpss vwqqnm cqzu umeumnmhxkxpomn kha xwm jqomuhrmhx zhamu fwpvw cqz fpnw xq spom ph xwm vqzunm qd xwpn vkrekpjh dqu xwm dphks amdmkx qd xwm mhmrc cqz rkc nznxkph dzuxwmu sqnn kha akrkjm xukjpv xwqzjw xwmc rkc tm xwmc kum ekux qd xwm eupvm qd opvxquc p knnzum cqz xwkx p nwkss aq kss ph rc eqfmu xq rpxpjkxm cqzu wkuanwpen p lhqf xwkx p vkh vqzhx qh cqzu nxmkadknxhmnn hqf hq smnn xwkh ph xwm eknx xwm wmuqpv amman qd dumhvwrmh fwq wkom vqhxphzma xwm nxuzjjsm kjkphnx xwm hkbpn kha xwmpu opvwc nkxmsspxmn ph dukhvm kha xwuqzjwqzx xwm dumhvw mrepum wkom tmmh kh mikresm kha kh phnepukxpqh xq kss qd zn xwpn skhaphj pn tzx xwm qemhphj ewknm qd xwm vkrekpjh ph fmnxmuh mzuqem jumkx tkxxsmn spm kwmka p vkss zeqh kss fwq sqom dummaqr xq nxkha fpxw zn lmme cqzu dkpxw nxkzhvw qzu kurn kum umnqszxm xqjmxwmu fm nwkss kvwpmom opvxquc\n",
      "Not updating anymore after iteration 34\n"
     ]
    }
   ],
   "source": [
    "# Use it on the Moby Dick text\n",
    "subtexts = prepare_subtexts(\"texts/moby_dick.txt\", lengths)\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": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Results using MCMC algorithm:\n",
      "\n",
      "Moby Dick accuracy [0.27891156462585037, 0.6723646723646723, 1.0, 1.0, 1.0, 1.0, 1.0]\n",
      "Article accuracy [0.14814814814814814, 0.6695652173913044, 0.8405797101449276, 0.9977220956719818, 1.0, 1.0, 1.0]\n",
      "Eisenhower speech accuracy [0.4326241134751773, 0.782608695652174, 1.0, 1.0, 1.0, 1.0, 0.9998574280011406]\n",
      "Results using Emissions assigned by BM algorithm:\n",
      "\n",
      "Moby Dick accuracy [0.16326530612244897, 0.5470085470085471, 0.9702970297029703, 0.9237037037037036, 1.0, 0.9995505617977528, 0.8645251396648045]\n",
      "Article accuracy [0.0, 0.0, 0.7874396135265701, 0.8147304479878512, 0.823937554206418, 0.8414367060884801, 0.8444037656903766]\n",
      "Eisenhower speech accuracy [0.1631205673758865, 0.5130434782608696, 0.7361702127659574, 0.8815789473684209, 0.788010425716768, 0.871927554980595, 0.8721129170230967]\n",
      "Results using reconstruction given by Viterbi algorithm:\n",
      "\n",
      "Moby Dick accuracy [0.3673469387755102, 0.7435897435897436, 0.8564356435643564, 0.9155555555555556, 0.9855855855855856, 0.9860674157303371, 0.9876629422718808]\n",
      "Article accuracy [0.08888888888888889, 0.05217391304347826, 0.8357487922705314, 0.8929384965831435, 0.9401561144839549, 0.9614542268944372, 0.9612970711297071]\n",
      "Eisenhower speech accuracy [0.425531914893617, 0.7043478260869566, 0.7914893617021277, 0.9473684210526315, 0.9617723718505647, 0.9706770159551531, 0.9709153122326774]\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": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Write results to file\n",
    "with open(\"outputs/MCMC_accuracies/Moby_Dick_accuracy.txt\", \"w\") as file:\n",
    "    # Convert each float to an integer and write it to the file\n",
    "    for num in Moby_Dick_accuracy_MCMC:\n",
    "        file.write(str(num) + \"\\n\")\n",
    "\n",
    "with open(\"outputs/MCMC_accuracies/Article_accuracy.txt\", \"w\") as file:\n",
    "    # Convert each float to an integer and write it to the file\n",
    "    for num in article_tipping_accuracy_MCMC:\n",
    "        file.write(str(num) + \"\\n\")\n",
    "\n",
    "with open(\"outputs/MCMC_accuracies/speech_accuracy.txt\", \"w\") as file:\n",
    "    # Convert each float to an integer and write it to the file\n",
    "    for num in speech_accuracy_MCMC:\n",
    "        file.write(str(num) + \"\\n\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Write results to file\n",
    "with open(\"outputs/HMM_emission_accuracies/Moby_Dick_accuracy.txt\", \"w\") as file:\n",
    "    # Convert each float to an integer and write it to the file\n",
    "    for num in Moby_Dick_accuracy_HMM_emission:\n",
    "        file.write(str(num) + \"\\n\")\n",
    "\n",
    "with open(\"outputs/HMM_emission_accuracies/Article_accuracy.txt\", \"w\") as file:\n",
    "    # Convert each float to an integer and write it to the file\n",
    "    for num in article_tipping_accuracy_HMM_emission:\n",
    "        file.write(str(num) + \"\\n\")\n",
    "\n",
    "with open(\"outputs/HMM_emission_accuracies/speech_accuracy.txt\", \"w\") as file:\n",
    "    # Convert each float to an integer and write it to the file\n",
    "    for num in speech_accuracy_HMM_emission:\n",
    "        file.write(str(num) + \"\\n\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Write results to file\n",
    "with open(\"outputs/HMM_viterbi_accuracies/Moby_Dick_accuracy.txt\", \"w\") as file:\n",
    "    # Convert each float to an integer and write it to the file\n",
    "    for num in Moby_Dick_accuracy_HMM_viterbi:\n",
    "        file.write(str(num) + \"\\n\")\n",
    "\n",
    "with open(\"outputs/HMM_viterbi_accuracies/Article_accuracy.txt\", \"w\") as file:\n",
    "    # Convert each float to an integer and write it to the file\n",
    "    for num in article_tipping_accuracy_HMM_viterbi:\n",
    "        file.write(str(num) + \"\\n\")\n",
    "\n",
    "with open(\"outputs/HMM_viterbi_accuracies/speech_accuracy.txt\", \"w\") as file:\n",
    "    # Convert each float to an integer and write it to the file\n",
    "    for num in speech_accuracy_HMM_viterbi:\n",
    "        file.write(str(num) + \"\\n\")"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## plot\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "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()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "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(x_pos - bar_width, Moby_Dick_accuracy_MCMC, bar_width, color=\"r\", label=\"MCMC\")\n",
    "plt.bar(x_pos, Moby_Dick_accuracy_HMM_emission, bar_width, color=\"g\", label=\"Emission\")\n",
    "plt.bar(\n",
    "    x_pos + bar_width,\n",
    "    Moby_Dick_accuracy_HMM_viterbi,\n",
    "    bar_width,\n",
    "    color=\"b\",\n",
    "    label=\"Viterbi\",\n",
    ")\n",
    "\n",
    "# Add labels, title, and legend\n",
    "plt.xlabel(\"Number of words\")\n",
    "plt.ylabel(\"% of letters decrypted correctly\")\n",
    "plt.title(\"Moby Dick: Decryption Accuracy by Text Length \")\n",
    "plt.xticks(x_pos, labels)\n",
    "plt.legend()\n",
    "\n",
    "# Display the plot\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "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(x_pos - bar_width, speech_accuracy_MCMC, bar_width, color=\"r\", label=\"MCMC\")\n",
    "plt.bar(x_pos, speech_accuracy_HMM_emission, bar_width, color=\"g\", label=\"Emission\")\n",
    "plt.bar(\n",
    "    x_pos + bar_width,\n",
    "    speech_accuracy_HMM_viterbi,\n",
    "    bar_width,\n",
    "    color=\"b\",\n",
    "    label=\"Viterbi\",\n",
    ")\n",
    "\n",
    "# Add labels, title, and legend\n",
    "plt.xlabel(\"Number of words\")\n",
    "plt.ylabel(\"% of letters decrypted correctly\")\n",
    "plt.title(\"Speech: Decryption Accuracy by Text Length \")\n",
    "plt.xticks(x_pos, labels)\n",
    "plt.legend()\n",
    "\n",
    "# Display the plot\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "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, article_tipping_accuracy_MCMC, bar_width, color=\"r\", label=\"MCMC\"\n",
    ")\n",
    "plt.bar(\n",
    "    x_pos, article_tipping_accuracy_HMM_emission, bar_width, color=\"g\", label=\"Emission\"\n",
    ")\n",
    "plt.bar(\n",
    "    x_pos + bar_width,\n",
    "    article_tipping_accuracy_HMM_viterbi,\n",
    "    bar_width,\n",
    "    color=\"b\",\n",
    "    label=\"Viterbi\",\n",
    ")\n",
    "\n",
    "# Add labels, title, and legend\n",
    "plt.xlabel(\"Number of words\")\n",
    "plt.ylabel(\"% of letters decrypted correctly\")\n",
    "plt.title(\"Article: 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": "pml",
   "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": "3.11.1"
  },
  "orig_nbformat": 4
 },
 "nbformat": 4,
 "nbformat_minor": 2
}