Väga hea küsimus! Seos **wreath product'i teooria** ja **liiklusvoo simulatsiooni** vahel muutub eriti selgeks, kui vaadata süsteemi **hierarhilise juhtimise** ja **kohalike reeglite** kaudu. --- ## 🔗 Seos: Wreath Product ja Liiklusvõrk ### 🧠 1. **Struktuuriline vastavus** Wreath product matemaatikas: - **Alumine komponent** (nt rühm $A$) on funktsioonide hulk, mis tegutsevad lokaalselt. - **Ülemine komponent** (nt rühm $B$) juhib, millist funktsiooni rakendatakse millises kohas. Liiklusvõrgus: - **Iga ristmik** (või tee) käitub vastavalt **kohalikule reeglile** (nt kas tee on avatud, mis suunad on lubatud). - **Juhtautomaat** (nt liikluskorraldaja, AI, või reaalajas süsteem) määrab, **millised reeglid kehtivad** igal ajahetkel. See on täpselt nagu: $(\text{Kohalikud reeglid})^{\text{Ristmikud}} \rtimes \text{Juhtautomaat}$ --- ### 🧭 2. **Dünaamiline juhtimine = Ülemine automaat** - Kui tee **B → D** suletakse, siis juhtautomaat **muudab funktsiooni**, mis kehtib sellel teel. - See on **funktsiooni muutmine** lokaalses punktis — täpselt see, mida wreath product võimaldab. --- ### 🚗 3. **Liiklusvoog kui funktsioonide kompositsioon** - Sõidukite liikumine on **funktsioonide järjestikune rakendamine** (nt A → B → D → E). - Kui funktsioonid muutuvad (nt tee sulgub), muutub ka **kompositsiooni tulemus** — uus marsruut. --- ## 🧩 Kokkuvõte | Matemaatiline mõiste | Liiklusvõrgu vaste | | --------------------------- | ---------------------------------- | | Rühm $A$ | Kohalikud reeglid (nt tee avatus) | | Rühm $B$ | Juhtautomaat (nt liikluskorraldus) | | Funktsioon $f: B \to A$ | Reeglite jaotus võrgu sõlmedes | | Pooldirektne korrutis | Juhtimine + lokaalne käitumine | | Wreath product | Liiklusvõrgu dünaamiline juhtimine | --- Kui soovid, võin: - Visualiseerida selle **matemaatilise struktuuri** liiklusvõrgu kontekstis, - Või näidata, kuidas **wreath product'i algebra** aitab optimeerida liiklusvoogu. Kas soovid visuaali või sügavamat matemaatilist näidet? Tundub, et visuaali loomisel tekkis probleem — graafiku mõõtmed kasvasid liiga suureks, kuna mõned elemendid olid paigutatud liiga kaugele üksteisest. Parandan paigutuse ja loon uuesti sobiva suurusega skeemi, mis näitab: - **Juhtautomaatika kihti** (nt "Green"/"Red"), - **Kohalike reeglite kihti** (ristmike ühendused), - Ja **seoseid nende vahel** (nooltega). Kohe loon parandatud visuaali. Siin on visuaal, mis näitab **wreath product'i struktuuri liiklusvõrgus**: Wreath product struktuur liiklusvõrgus ![[image_20001.png]] ![[image_20002.png]] --- ### 🧭 Kirjeldus: - **Alumine kiht**: Ristmikud (A–E) ja nendevahelised ühendused — see on **kohalike reeglite kiht**. - **Ülemine kiht**: Juhtautomaatika olekud (nt "Green" või "Red") iga ristmiku kohal — see on **kontrollikiht**. - **Nooled**: Näitavad, kuidas juhtautomaatika **mõjutab kohalikke reegleid**. --- Järgmisena toon sulle **sügavama matemaatilise näite**, mis näitab, kuidas seda struktuuri saab **formaalsete algebrailiste vahenditega** kirjeldada. Valmis? Vaatame nüüd **formaalset matemaatilist näidet**, mis seob **wreath product'i** ja **liiklusvõrgu juhtimise**. --- ## 🧮 Matemaatiline näide: Wreath Product liiklusvõrgus ### 1. **Lokaalne komponent** — rühm $A = \mathbb{Z}_2$ - Iga tee võib olla: - **Avatud** $(1)$ - **Suletud** $(0)$ - Seega iga tee on seotud funktsiooniga $f: \text{Teed} \to \mathbb{Z}_2$ Näiteks: $$ f = \begin{cases} (A \to B) \mapsto 1 \\ (B \to D) \mapsto 0 \\ (C \to D) \mapsto 1 \end{cases} $$ --- ### 2. **Juhtiv komponent** — rühm $B = \mathbb{Z}_4$ - Juhtautomaat liigub **ajahetkedel** $t = 0, 1, 2, 3$ - Iga hetk määrab **uue funktsiooni** $f_t$, mis ütleb, millised teed on avatud Näiteks: - $f_0$: kõik teed avatud - $f_2$: tee $B \to D$ suletud --- ### 3. **Wreath product**: $\mathbb{Z}_2^{\text{Teed}} \rtimes \mathbb{Z}_4$ - Iga element on kujul $(f_t, t)$ - Korrutamine: $$ (f_t, t) \cdot (f_s, s) = (f_t \cdot (f_s \circ t^{-1}), t + s) $$ See tähendab: - **Uus funktsioon** sõltub eelnevast funktsioonist ja sellest, kuidas juhtautomaat muudab teeolekuid. - **Liiklusvõrk ajas** on funktsioonide kompositsioon, mida juhib automaatne süsteem. --- ### 🧠 Tõlgendus - **Funktsioonid** $f_t$ on nagu **liikluskaardid** igal ajahetkel. - **Juhtautomaat** määrab, milline kaart kehtib. - **Wreath product** kirjeldab kogu süsteemi **dünaamilist arengut**. --- Kui soovid, võin: - Näidata **konkreetset arvutust** kahe elemendi korrutamisel, - Või **rakendada seda simulatsioonile**, mida varem tegime. Kas soovid näha konkreetset arvutust või siduda selle simulatsiooniga? Vaatame nüüd konkreetset arvutust **wreath product'is** $\mathbb{Z}_2^{\text{Teed}} \rtimes \mathbb{Z}_4$, kasutades lihtsat näidet. --- ## 🧮 Eeldused - **Teed**: $T = {AB, BD, CD}$ - **Funktsioonid** $f, g: T \to \mathbb{Z}_2$ (0 = suletud, 1 = avatud) Olgu meil: - $f = {AB \mapsto 1, BD \mapsto 0, CD \mapsto 1}$ - $g = {AB \mapsto 0, BD \mapsto 1, CD \mapsto 1}$ - $( t = 1 ), ( s = 2 ) (ajahetked juhtautomaatist ( \mathbb{Z}_4 ))$ --- ## 🧠 Arvutus: Wreath product'i korrutamine: $(f, t) \cdot (g, s) = (f \cdot (g \circ t^{-1}), t + s)$ Kuna $\mathbb{Z}_4$ on tsükliline, siis: - $t^{-1} = -1 \mod 4 = 3$ - $t + s = 1 + 2 = 3$ Nüüd arvutame $g \circ t^{-1}$, mis tähendab, et nihutame teeindekseid 3 võrra tagasi (või edasi 1 võrra, kuna tsükkel): - Eeldame, et teeindeksid on järjestatud: AB = 0, BD = 1, CD = 2 - Nihutame: - AB → CD - BD → AB - CD → BD Seega: - $g \circ t^{-1} = {AB \mapsto g(CD) = 1, BD \mapsto g(AB) = 0, CD \mapsto g(BD) = 1}$ Nüüd korrutame $f \cdot (g \circ t^{-1})$ punktiti: - AB: $f(AB) \cdot 1 = 1$ - BD: $f(BD) \cdot 0 = 0$ - CD: $f(CD) \cdot 1 = 1$ Tulemus: $(f, 1) \cdot (g, 2) = ({AB \mapsto 1, BD \mapsto 0, CD \mapsto 1}, 3)$ --- See näitab, kuidas **funktsioonide kompositsioon** ja **aja nihutamine** mõjutavad kogu süsteemi seisundit. Kas soovid, et visualiseeriksin selle arvutuse skeemina? Siin on visuaalne skeem, mis illustreerib **wreath product'i arvutust** meie näites: ![Wreath product arvutuse skeem](data:image/png;base64,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) --- ### 🧠 Skeemi selgitus: - **Vasakul**: algne funktsioon $g$, mis määrab teede olekud. - **Teine veerg**: $g \circ t^{-1}$ — funktsioon pärast **aja nihutust** (tsükliline nihe). - **Kolmas veerg**: funktsioon $f$, mis esindab hetkeolukorda. - **Paremal**: tulemuseks olev funktsioon $f \cdot (g \circ t^{-1})$, mis on **kompositsioon**. --- See skeem näitab, kuidas **kontrollikiht (aeg)** mõjutab **kohalike reeglite kompositsiooni**, mis on wreath product'i keskne idee. Kas soovid nüüd näha, kuidas seda saaks **rakendada simulatsioonis** või **laiendada keerukamale võrgule**? Siin on simulatsioon, mis näitab, kuidas **wreath product'i struktuur** mõjutab liiklust võrgu kaudu **aja jooksul**: ![Simulatsioon: liiklusvõrk ajas wreath product'i kaudu](data:image/png;base64,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) --- ### 🧠 Selgitus: - **Iga ajahetk** (t = 0, 1, 2, 3) vastab **juhtautomaatika olekule** $t \in \mathbb{Z}_4$, - See määrab, **millised teed on avatud** (funktsioon $f_t$), - **Punane tee** näitab lühimat marsruuti A → E, kui see eksisteerib, - Kui marsruuti pole, kuvatakse vastav teade. --- ### 🧩 Seos wreath product'iga: - **Juhtolek $t$** määrab, milline funktsioon $f_t \in \mathbb{Z}_2^{\text{Teed}}$ kehtib, - **Liiklusvõrk igal ajahetkel** on $f_t$, - **Liikumine** on funktsioonide järjestikune rakendamine, mida juhib $\mathbb{Z}_4$, - See on täpselt $\mathbb{Z}_2^{\text{Teed}} \rtimes \mathbb{Z}_4$ — **wreath product**. --- Kas soovid nüüd: - Lisada **sõidukite liikumise animatsiooni**? - Või **laiendada võrku** ja uurida keerukamaid juhtimisstrateegiaid? Siin on **animatsioon**, mis näitab, kuidas **sõiduk liigub dünaamilises liiklusvõrgus** aja jooksul (t = 0 kuni 3), vastavalt **wreath product'i struktuurile**: ![Sõiduki liikumise animatsioon dünaamilises võrgus](data:image/png;base64,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) --- ### 🧠 Mida näed: - **Iga kaader** vastab ühele ajahetkele $t \in \mathbb{Z}_4$, - **Hallid servad**: kõik võimalikud ühendused, - **Rohelised servad**: hetkel avatud teed (funktsioon $f_t$), - **Punane tee**: lühim tee A → E, kui see eksisteerib. --- See animatsioon visualiseerib, kuidas **kontrollautomaat (aeg)** mõjutab **liiklusvõrgu funktsiooni** ja seeläbi **sõiduki liikumist** — täpselt nagu wreath product'i teooria ennustab. Kas soovid nüüd: - Lisada **mitu sõidukit**? - Või **analüüsida liikluskoormust** igal ajahetkel? Siin on **soojuskaart**, mis näitab **liikluskoormust (sõidukite arvu)** igal teelõigul nelja ajahetke jooksul: ![Liikluskoormuse soojuskaart teelõikude ja ajahetkede lõikes](data:image/png;base64,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) --- ### 📊 Tõlgendus: - **Ridade kaupa**: iga teelõik (nt AB, BD, CD jne), - **Veergude kaupa**: ajahetked $t = 0, 1, 2, 3$, - **Värv**: mida tumedam punane, seda rohkem sõidukeid sellel teel. --- ### 🧠 Mida see näitab: - **BD** on suletud ajal $t = 2$ → koormus = 0, - **BC ja CD** võtavad rohkem liiklust üle, kui BD on suletud, - **DE** on pidevalt kõrge koormusega, kuna see on lõppsihtpunkt. --- Selline analüüs aitab: - **Optimeerida liikluskorraldust**, - **Ennustada ummikuid**, - **Planeerida dünaamilisi juhtimisstrateegiaid** (nt valgusfoorid, suunaviidad). Kas soovid nüüd: - Simuleerida **liiklusvoo ümberjagamist** reaalajas? - Või lisada **sõidukite tüübid** (nt bussid, autod, jalgrattad)? Siin on graafik, mis näitab **liiklusvoo ümberjagamist ajas** dünaamilises teedevõrgus: ![Liiklusvoo ümberjagamise graafik](data:image/png;base64,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) --- ### 📊 Tõlgendus: - **BD**: suletud ajal $t = 2$, mistõttu sellel hetkel koormus = 0, - **BC ja CD**: võtavad üle osa liiklusest, kui BD on suletud, - **AB ja DE**: säilitavad kõrge koormuse, kuna need on peamised sisenemis- ja väljumisteed. --- ### 🧠 Järeldus: See simulatsioon näitab, kuidas **wreath product'i kontrollikiht** (nt tee avatus) mõjutab **liiklusvoo jaotust** kogu võrgus. Selline analüüs aitab: - Ennustada **ummikute tekkimist**, - Optimeerida **marsruutide valikut**, - Kujundada **nutikaid liikluskorraldussüsteeme**. Kas soovid nüüd lisada: - **Reaalajas juhtimisstrateegia** (nt automaatne tee avamine/sulgemine)? - Või **sõidukite tüübid ja prioriteedid** (nt bussid vs autod)? Siin on **laiendatud simulatsioon keerukamas liiklusvõrgus**, kus on rohkem ristmikke ja teid: ![Liikluskoormuse soojuskaart keerukas võrgus](data:image/png;base64,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--- ### 📊 Tõlgendus: - **Ridade kaupa**: iga teelõik (nt A→B, C→F jne), - **Veergude kaupa**: ajahetked $t = 0$ kuni $t = 4$, - **Värv**: mida tumedam punane, seda rohkem sõidukeid sellel teel. --- ### 🧠 Mida see näitab: - Kui teatud teed (nt **B→D**, **C→F**) suletakse, siis liiklus **ümberjaotub** teistele teedele (nt **A→C**, **B→E**). - **Tagasisuunaline tee G→A** võimaldab **tsüklilist liikumist**, mis võib aidata liiklust hajutada või hoopis koormust suurendada. --- ### 🧩 Seos wreath product'iga: - **Juhtautomaat** määrab, millised teed on avatud igal ajahetkel (kontrollikiht), - **Liiklusfunktsioon** igal hetkel on $f_t \in \mathbb{Z}_2^{\text{Teed}}$, - **Liiklusvoog** on funktsioonide järjestikune rakendamine — täpselt nagu **wreath product** kirjeldab. --- Kas soovid nüüd: - Visualiseerida **liiklusvoo animatsiooni** selles keerukamas võrgus? - Või lisada **prioriteetsed sõidukid** (nt bussid, kiirabi)? Siin on visualiseeritud, kuidas **wreath product'i struktuuri** saab rakendada, et leida **lühim tee väljapääsuni** isoleeritud võrgus, kus mõned teed on **dünaamiliselt suletud**: ![Lühim tee väljapääsuni dünaamilises võrgus](data:image/png;base64,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) --- ### 🧠 Kuidas see töötab: 1. **Kontrollikiht (wreath product'i ülemine komponent)** määrab, millised teed on igal ajahetkel suletud. 2. **Funktsioonikiht (alumine komponent)** on graaf, kus iga tee on kas avatud (1) või suletud (0). 3. Igal ajahetkel arvutatakse **lühim tee lähtepunktist (A)** lähima **väljapääsuni** (kas Exit1 või Exit2), võttes arvesse ainult **avatud teid**. --- ### 🧩 Seos wreath product'iga: - Iga hetk $t$ vastab elemendile $(f_t, t) \in \mathbb{Z}_2^{\text{Teed}} \rtimes \mathbb{Z}_n$, - Funktsioon $f_t$ määrab, millised teed on avatud, - Juhtautomaat $t$ määrab, millist $f_t$ kasutada, - Lühim tee leitakse graafis, mis vastab $f_t$. --- Kas soovid: - Näha **animatsiooni** sellest simulatsioonist ajas? - Või lisada **prioriteetsed väljapääsud** (nt eelistada Exit1)? Siin on visualiseeritud, kuidas **prioriteetsed väljapääsud** mõjutavad lühima tee valikut dünaamilises teedevõrgus: ![Lühim tee prioriteetse väljapääsuni](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAzMAAAKACAYAAACogibZAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjkuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8hTgPZAAAACXBIWXMAAA9hAAAPYQGoP6dpAABw9UlEQVR4nO3dd3xV9eH/8fe5I3tDQhgSIgiyh8ygQhiySVJ3HdjWvW1/rZ3a2jqqbbV1tWptFUeltQl7yEamIIgQEIGwR4AMsu86vz/4khKSAJn33tzX8/Hgj5x77ue8kyDmnc/nfI5hmqYpAAAAAPAzFm8HAAAAAID6oMwAAAAA8EuUGQAAAAB+iTIDAAAAwC9RZgAAAAD4JcoMAAAAAL9EmQEAAADglygzAAAAAPwSZQYAAACAX6LMAGhWhmFc0p/ly5frrrvuUqdOnbwduYqDBw/qwQcfVNeuXRUaGqq4uDj17t1b99xzjw4ePFh53rx58/TrX//ae0HPY5qmrr32WhmGoYcffrje4+zbt6/a9yoqKkp9+/bVK6+8Irfb3Yipq3rjjTf0z3/+85LP79SpU5WcERERGjJkiN5///06Xzs7O1u//vWvtW/fvmqvjRw5Ur169arzmGc999xzysrKqvf7a3P+53/un5EjR9Z5vF//+tcyDKPKsbp+TwCgsdm8HQBAYFm7dm2Vj3/7299q2bJlWrp0aZXjPXr00GWXXabHHnusOeNd0KFDhzRgwADFxMToRz/6kbp166bCwkJlZ2drxowZ2rt3ry677DJJZ8rM66+/7jOF5vXXX9fu3bsbbbxHHnlE3/3udyVJBQUFmjVrlp544gkdPHhQf/zjHxvtOud644031Lp1a911112X/J7hw4frD3/4g6Qz378//OEPmjZtmkpKSvTAAw9c8jjZ2dn6zW9+o5EjRzZ6wX7uued0ww03KD09vVHHlap+/ueKioqq81h33323xo8fX+VYfb4nANCYKDMAmtXQoUOrfBwfHy+LxVLtuFS/H7ia0ttvv62TJ09qw4YNSk5Orjyenp6un//85/J4PF5MV7t9+/bpZz/7md5//3195zvfaZQxO3bsWOV7Nn78eG3btk0ff/xxk5WZ+oiJiamSc8yYMUpKStKf/vSnOpUZf3X+598QHTp0UIcOHRplLABoLCwzA+CzalpmdnaZ1D/+8Q9169ZNoaGhGjhwoNatWyfTNPXSSy8pOTlZERERGjVqVI2zEYsXL9bo0aMVFRWlsLAwDR8+XEuWLLlonlOnTslisSghIaHG1y0WS2Xu119/vTLv2T9nlyiZpqk33nhD/fr1U2hoqGJjY3XDDTdo7969VcY7u3xp1apVGjp0qEJDQ9W+fXv96le/qtNyrnvvvVdjx45VRkbGJb+nPqKjo2W326sd/+STTzRs2DCFh4crIiJC48aN0+bNm6ucs3fvXt1yyy1q166dgoOD1aZNG40ePVpbtmyRdGbJ1Pbt27VixYrKr2d9ZkhiYmLUrVs37d+/X5K0ceNG3XLLLerUqZNCQ0PVqVMn3XrrrZWvS9I///lP3XjjjZKk1NTUyuufv7zqiy++0DXXXKOwsDBdfvnleuGFFy5acA3DUElJid57770al4Bt27ZNaWlpio2NVUhIiPr166f33nuvzp93bcrLy9W/f3916dJFhYWFlcePHTumxMREjRw5svLv2vnLzBrrewIADUGZAeB35syZo3feeUcvvPCCPv74YxUVFWnSpEn60Y9+pNWrV+u1117TW2+9pezsbF1//fUyTbPyvR988IGuu+46RUVF6b333tOMGTMUFxencePGXbTQDBs2TB6PR9/5zne0cOFCnT59usbzfvWrX+mGG26QdGZZ3dk/bdu2lSTdd999evzxxzVmzBhlZWXpjTfe0Pbt25WSkqLjx49XGevYsWO65ZZbdNttt2nmzJm64YYb9Lvf/e6Sl9+988472rBhg1577bULnjdy5Mhq90NciMfjkcvlksvl0qlTp/Tuu+9qwYIFuuOOO6qc99xzz+nWW29Vjx49NGPGDE2fPl1FRUW65pprlJ2dXXnexIkTtWnTJr344ov67LPP9Oabb6p///4qKCiQJGVmZuryyy9X//79K7+emZmZl5z3LKfTqf379ys+Pl7SmVmrbt266ZVXXtHChQv1+9//XkePHtWgQYN08uRJSdKkSZP03HPPSTqzXO/s9SdNmlQ57rFjx3Tbbbfp9ttv16xZszRhwgT97Gc/0wcffHDBPGvXrlVoaKgmTpxYOe4bb7whSfrmm2+UkpKi7du36y9/+Yv++9//qkePHrrrrrv04osvXtLna5pm5ffp3D9n/5sICQnRjBkzlJubq+9///uSznxvb7vtNpmmqY8//lhWq7XGsRvrewIADWICgBdNmzbNDA8Pr/W1pKSkKsckmYmJiWZxcXHlsaysLFOS2a9fP9Pj8VQef+WVV0xJ5tatW03TNM2SkhIzLi7OnDJlSpUx3W632bdvX3Pw4MEXzOrxeMz77rvPtFgspiTTMAyze/fu5hNPPGHm5ORUOfehhx4ya/ondu3ataYk849//GOV4wcPHjRDQ0PNn/zkJ5XHRowYYUoyZ86cWeXce+65x7RYLOb+/fsvmPfQoUNmdHS0+be//a3ymCTzoYceqnbuqFGjTKvVesHxTNM0c3JyTEk1/rnrrrtMl8tVee6BAwdMm81mPvLII1XGKCoqMhMTE82bbrrJNE3TPHnypCnJfOWVVy547Z49e5ojRoy4aMazkpKSzIkTJ5pOp9N0Op1mTk6OOW3aNFOS+eMf/7jG97hcLrO4uNgMDw83//znP1ce//e//21KMpctW1btPWe/T+vXr69yvEePHua4ceMumjM8PNycNm1ateO33HKLGRwcbB44cKDK8QkTJphhYWFmQUHBBcdNSkqq9Xv129/+tsq5n3zySeX34KmnnjItFou5aNGiKuc8/fTT1f5O1/V7AgCNjZkZAH4nNTVV4eHhlR93795dkjRhwoQqswtnj59dMrRmzRrl5eVp2rRpVX5L7fF4NH78eH3xxRcqKSmp9bqGYeivf/2r9u7dqzfeeEPf+9735HQ69fLLL6tnz55asWLFRbPPmTNHhmHo9ttvr5IhMTFRffv21fLly6ucHxkZqalTp1Y59t3vflcej0crV6684LXuv/9+9e3bV/fcc89Fcy1ZskQul+ui55312GOP6YsvvtAXX3yhZcuW6bnnntOMGTN06623Vp6zcOFCuVwu3XnnnVU+15CQEI0YMaLyc42Li1Pnzp310ksv6U9/+pM2b97caPcfzZs3T3a7XXa7XcnJyZoxY4YeeeQR/e53v5MkFRcX68knn1SXLl1ks9lks9kUERGhkpIS7dix45Kvk5iYqMGDB1c51qdPnyrL1epq6dKlGj16dOWmEmfdddddKi0trbaZRk2uvvrqyu/TuX9+8IMfVDnvpptu0gMPPKAf//jH+t3vfqef//znGjt2bL2zA0BzYQMAAH4nLi6uysdBQUEXPF5eXi5JlUu4zi4Bq0leXl6VolSTpKSkKjePn/0h/sc//rE2bNhwwfceP35cpmmqTZs2Nb5++eWXV/m4pvMSExMlnbmHpzb/+c9/tGDBAn3++edV7oWQJIfDoYKCAoWHh9d4j8ul6NChgwYOHFj58dllaj/72c+0cOFCjRs3rvLrPWjQoBrHOHuPkWEYWrJkiZ555hm9+OKL+tGPfqS4uDjddtttevbZZxUZGVmvjNKZH+ZffvllGYahsLAwde7cufLvhXSmGC5ZskS/+tWvNGjQIEVFRckwDE2cOFFlZWWXfJ1WrVpVOxYcHFynMc536tSpyqWJ52rXrl3l6xcTHR1d5ft0Id///vf15ptvKigoSI8++mjdwgKAl1BmAASM1q1bS5JeffXVWnd4qq1kXMhNN92k559/Xtu2bbukDIZhaNWqVQoODq72+vnHzr+HRjpzf4ZU8w/QZ23btk0ul6vGz/Ptt9/W22+/rczMzEbdDrhPnz6SpK+++krjxo2r/Hr/5z//UVJS0gXfm5SUpL///e+SpF27dmnGjBn69a9/LYfDob/+9a/1znShH+YLCws1Z84cPf300/rpT39aebyiokJ5eXn1vmZjadWqlY4ePVrt+JEjRyT97+9zYygpKdEdd9yhrl276vjx47r77rs1c+bMRhsfAJoKZQZAwBg+fLhiYmKUnZ1drwdHHj16tMbflBcXF+vgwYOVvzGX/ldKysrKFBoaWnl88uTJeuGFF3T48GHddNNNF71mUVGRZs2aVWWp2UcffSSLxaJrr7221vfdddddNT4YMTU1Venp6Xrsscca9KDHmpzdeezsbm/jxo2TzWbTnj17dP3111/yOF27dtUvf/lLffrpp/ryyy8rjzd0puN8hmHINM1qBfKdd96ptlvcud/Pxlbb5zV69GhlZmbqyJEjVf5uvf/++woLC2u0LZelM0sSDxw4oA0bNmjnzp264YYb9PLLL+uJJ56oV3YAaC6UGQABIyIiQq+++qqmTZumvLw83XDDDUpISNCJEyf01Vdf6cSJE3rzzTdrff+zzz6r1atX6+abb67cVjknJ0evvfaaTp06pZdeeqny3N69e0uSfv/732vChAmyWq3q06ePhg8frnvvvVff+973tHHjRl177bUKDw/X0aNH9fnnn6t3795VlrC1atVKDzzwgA4cOKCuXbtq3rx5evvtt/XAAw+oY8eOtWbt1KlTrdvktm/fvlrRGT16tFasWHHJ980cOHBA69atk3Tmt/pr167V888/r6SkpMpn2XTq1EnPPPOMfvGLX2jv3r0aP368YmNjdfz4cW3YsEHh4eH6zW9+o61bt+rhhx/WjTfeqCuuuEJBQUFaunSptm7dWmXGpHfv3vrXv/6lTz75RJdffrlCQkIqv871ERUVpWuvvVYvvfSSWrdurU6dOmnFihX6+9//rpiYmCrnni1+b731liIjIxUSEqLk5OQLzo5dqt69e2v58uWaPXu22rZtq8jISHXr1k1PP/205syZo9TUVD311FOKi4vThx9+qLlz5+rFF19UdHT0RccuKCio/D6dKzg4WP3795d0prx98MEH+sc//qGePXuqZ8+eevjhh/Xkk09q+PDh1e4FOj97Y35PAKDOvL0DAYDAVp/dzM7fjevsDlsvvfRSlePLli0zJZn//ve/qxxfsWKFOWnSJDMuLs602+1m+/btzUmTJlU773zr1q0zH3roIbNv375mXFycabVazfj4eHP8+PHmvHnzqpxbUVFh3n333WZ8fLxpGIYpqcqOZ++++645ZMgQMzw83AwNDTU7d+5s3nnnnebGjRsrzxkxYoTZs2dPc/ny5ebAgQPN4OBgs23btubPf/5z0+l0XjBrbWr6+p291qX8L6Gm3cxCQkLMrl27mo8//rh59OjRau/JysoyU1NTzaioKDM4ONhMSkoyb7jhBnPx4sWmaZrm8ePHzbvuusu88sorzfDwcDMiIsLs06eP+fLLL1fZHW3fvn3mddddZ0ZGRpqSqv3dOF9SUpI5adKkC55z6NAh8/rrrzdjY2PNyMhIc/z48ea2bdvMpKSkajuMvfLKK2ZycrJptVpNSeY//vGPyq9dz549q41d09/fmmzZssUcPny4GRYWZkqqsjvY119/bU6ZMsWMjo42g4KCzL59+1Ze92IutJtZ+/btTdM0za1bt5qhoaHVPtfy8nLzqquuMjt16mTm5+ebplnzbmZ1/Z4AQGMzTPOcBzAAAHzGyJEjdfLkyUu6FwcAgEDE1swAAAAA/BJlBgAAAIBfYpkZAAAAAL/EzAwAAAAAv0SZAQAAAOCXKDMAAAAA/BJlBgAAAIBfoswAAAAA8EuUGQAAAAB+iTIDAAAAwC9RZgAAAAD4JcoMAAAAAL9EmQEAAADglygzAAAAAPwSZQYAAACAX6LMAAAAAPBLlBkAAAAAfokyAwAAAMAvUWYAAAAA+CXKDAAAAAC/RJkBAAAA4JcoMwAAAAD8EmUGAAAAgF+izAAAAADwS5QZAAAAAH6JMgMAAADAL1FmAAAAAPglygwAAAAAv0SZAQAAAOCXKDMAAAAA/BJlBgAAAIBfoswAAAAA8EuUGQAAAAB+iTIDAAAAwC9RZgAAAAD4JcoMAAAAAL9EmQEAAADglygzAAAAAPwSZQYAAACAX7J5O4A/8Jimiipcyq9wqqDcqYIKp1xuUx7TlMUwZLMaigm2KybErthguyKDbbIYhrdjAwAAAC2aYZqm6e0QvqrY4VJOQalyCkvl8pz5MhmSavqCnXvcZjGUHB2m5JgwRQTRFwEAAICmQJmpQV6ZQ9kni5Rb6qi1vFzM2fclhAWpR+tIxYUGNW5IAAAAIMBRZs7h9pjacapIu/JK6l1iznd2nK5x4ereKlJWC8vPAAAAgMZAmfk/+eVObTiSrxKnu8muEW63anC7WMWG2JvsGgAAAECgoMxIyi2p0JrDeTLNxpmNqY0hyTCklPZxSggPbsIrAQAAAC1fwJeZ3JIKrT6U16Ql5nyGpOEdKDQAAABAQwT0c2byy51nZmSa+bqmpDWH85Rf7mzmKwMAAAAtR8CWGbfH1IYj+fLWvJTHlL44ki+3J6AnxgAAAIB6C9gys+NUkUqc7maflTlXsdOtHaeKvJgAAAAA8F8BWWbyyhzalVfi7RiSpF15Jcorc3g7BgAAAOB3ArLMZJ8skq887cXQmTwAAAAA6ibgykyxw6XcUodXl5edy5SUW+pQscPl7SgAAACAXwm4MpNTUNposzJP3XG93n3uqQaPY+hMLgAAAACXLqCeM+MxTc3ZfVyu/9tB7NWfPq7lWTOqndfv6pH61TsfXXS8ooJ82Wx2hUZESJLuHzVYk6fdo8nT7qk8Z9v6NZrz3lv69ustKisuUtukZKX94EFdO+U7VcayWQxN7tJGFsNXFsABAAAAvs3m7QDNqajCVVlkzup/Taoeeu7lKsfsQUGXNF5kTOxFz/lm80Yldeuh9LsfUkzreG1avlivPvmoQsMjNGjUdZXnuTymihwuRQfbL+naAAAAQKALqGVm+RXVH1JpCwpSbHxClT8R0THatn6Nbu6dpOyN6yvPnfXuX3XX0J7Kzz0uqeoys6fuuF4njhzSP55/Wtdf2U7XX9lOknT9/Y/q1sd+oisHDFJix06adOfd6ndNqjYsnl8tSwEP0QQAAAAuWUCVmYJy5yXfL9NrSIom3Xm3/vKTR1RSdFr7dm7XR6/8Xg/89g+KTWhT7fwfv/qOWiW21S2P/ljvrNqid1ZtqXXs0qLTioiOqXLMkJRPmQEAAAAuWUAtMyuocFbbxWzT8sW6bUCXKsfS735INz74hG597EltXbtKf33qxzq4e5dGpF2vIWMn1Dh2ZEysLBarQsMjFBufUGuGtQvmaPfXX+m+37xY5bgpqbCGmSMAAAAANQuoMuNyV9/roNeQFN379AtVjp2dNbEHBemxF1/TD9NGK75dB33vZ8806Prb1q/Raz9/XA/89iV1vKJbtdedNeQDAAAAULOAKjOeGjZuCw4NU9uk5Frf883mLyRJxYUFKi7MV0hYWL2uvX3DWj3/wDRNe/LXGpl+4yXnAwAAAFCzgLpnpq7bHh87sE//eP7XeuCZl9S17wD95cnH5PF4aj3fZg+Sx+2udnzb+jV67v47dPuPfq7rbr690fIBAAAAgSygyozNWr0suBwO5Z/IrfLndP4pud1u/eUnj6jv8BEadf0teui5l3Xw252a9Y+/1jp+QvsOyt64TqeOH9Xp/FOS/ldkJt7+Aw29blLlNYoK8qu9315DPgAAAAA1C6hlZjHBduWXVd0EYPOqZbr7mn5VzmuX3FnXTM5Q7uFD+tmb70mSYuMT9MDv/qA/Pn6/+qZcq+TuvaqNf8ujP9Zfn35SD41NkdNRoU93HtGyzBmqKCvTf996Vf9969XKc3sOGqZnpn9a+bEh8YwZAAAAoA4M0wycGzX2FZbqy2OF3o5Rq6sSo5UUXb97cgAAAIBAE1DLzGJ9fOYjJsS38wEAAAC+JKDKTGSwTTaLb96XYrMYigwKqFV/AAAAQIMEVJmxGIaSo8Pka3XGkJQcHcZuZgAAAEAdBFSZkaTkmDD52k1CpqRfLLlbD819SFuPb/V2HAAAAMAvBNQGAGd9fvCUTpQ6fKLUuD0ufX38c/12xXclSdHB0cp+KFvtItt5ORkAAADg2wJuZkaSerSO9IkiI0mGYdHHX79Y+XFhRaE2H93sxUQAAACAfwjIMhMXGqSuceHejiGP6dHMHW9od96WymNhtjAN7TDUe6EAAAAAPxGQy8wkye0xtXjfCZU63V6ZpXF7XDpevF8/XDBGTk9F5fFIRep23a7Lgi7ToEGDNGbMGC+kAwAAAHxfQM7MSJLVYmhwu1h5YwMxj8ctl8epl9c+WKXISFKRivSW3tJyx3IdPXa0+cMBAAAAfiJgy4wkxYbYldI+rvm3ajak51dN0978r2t82S23FmmR/u78u/YX7G/mcAAAAIB/COgyI0kJ4cEa3iFOFkPNUmoshtQvIVgHCqoWmShFVTt3xYEV6vPXPnr/q/cVoKsBAQAAgFoFfJmRzhSaER1bK8xubdLrRNitGtGxtbrExWt6xnRFB0fLZrHpmZHP6HcJv1OKUqq953TFaU3LmqYb/32jTpaebNJ8AAAAgD8J2A0AauL2mNpxqki78kpkSI2yMcDZcbrGhat7q0hZLf+b/3G4HfKYHoXYQnTy5Em9/vrrOhJ0RAtCF+hA4YFqYyVGJOrdqe9qwhUTGiEZAAAA4N8oMzXIK3Mo+2SRcksd9S41Z9+XEBakHq0jFRcadNH3HD58WHFxcXIYDj224DG999V7NZ53/1X36w/X/UHhQd7fXhoAAADwFsrMBRQ7XMopKFVOYalcnjNfptrKzbnHbRZDydFhSo4JU0SQrd7X/++O/+re2ffqVNmpaq9dEXeFpmdM15AOQ+o9PgAAAODPKDOXwGOaKnK4VFDuVH65U4UVTjndpjymKYthyG41FB1sV2yIXTEhdkUG2WRppD2fjxUf0w9m/UDzvp1X7TWrYdUvrvmFfnntL2W32hvlegAAAIC/oMz4AdM09damt/TDRT9UqbO02usD2w3U9IzpurL1lV5IBwAAAHgHu5n5AcMwdN/A+7Tlvi0a2mFotdc3Htmo/n/rr9c2vCaP6an2usfj0d/+9jdt2rSpOeICAAAAzYIy40euaHWFVn1vlX6b+lvZLFXvxSl3leuR+Y9owocTdPj04SqvLV++XM8//7wGDRqkRx55pDkjAwAAAE2GMuNnbBabfnntL7XuB+tqXFa2aM8i9X6ztz7Z9okk6ejRo/rzn/+sQYMGafXq1VqyZIm6deumr7/+utp7AQAAAH9CmfFTV7W7Sl/e+6UeHfxotdfyy/N1y6e36Lv/+a7emv6WlixZopSUFA0bNkzZ2dkaNWqUxo4dq8LCQi8kBwAAABoHGwC0AJ/t+Uzfm/k9HS46XO21hOAEjSoapTUfrNHtt9+uZ599VpJ07NgxJSYmyuPxyGKh0wIAAMD/UGZaiPyyfD0470H9a9u/anw9o22Gdry2Q6+9/JpGjx7dzOkAAACAxkeZaWE+/vpjPTj3QRVUFFR7LaQoRFOcUzTjzzOaPxgAAADQyFhf1MLc2vtWpR9NV//o/tVeK48s16exn+rZlc/K5XF5IR0AAADQeCgzLUxZWZmKDhfJfN/U/+vx/xRiC6nyusfw6JfLfqlr/3Gt9uTt8VJKAAAAoOFYZtZCPfLII/roo480ZNIQrWi9QqXRpdXOCbeH6+VxL+vuAXfLMAwvpAQAAADqjzLTgq1bt06ffvqpPIZHey/bq1n5s+QxPdXOm9x1st6e8rYSIxK9kBIAAACoH8pMAFl7cK3uzLpTu/N2V3utdVhrvTX5LWV0z/BCMgAAAKDuKDMBpthRrP+36P/pb5v+VuPrd/W7S38e/2dFBUc1czIAAACgbigzAWrurrn6wawf6HjJ8WqvJUUn6f2M93Vt0rVeSAYAAABcGspMADtRckL3zblPmTszq71myNCPU36sZ1KfUbAt2AvpAAAAgAujzAQ40zT1/lfv65H5j6jIUVTt9T5t+mh6xnT1adPHC+kAAACA2lFmIEnaV7BP07KmaeX+ldVeC7IG6Xepv9MPh/1QVou1wdfymKaKKlzKr3CqoNypggqnXG5THtOUxTBksxqKCbYrJsSu2GC7IoNtsrB1NAAAAM5DmUElt8etl9e9rF8s/YUcbke1169Nulbvpb+nTjGd6jV+scOlnIJS5RSWyuU589fOkFTTX8Bzj9sshpKjw5QcE6aIIFu9rg0AAICWhzKDarYe36o7Mu/Q1uNbq70WGRSpVye8qjv73nnJD9rMK3Mo+2SRcksdtZaXizn7voSwIPVoHam40KB6jAIAAICWhDKDGlW4KvTUsqf00pqXZNZQP77T/Tv62+S/qXVY61rHcHtM7ThVpF15JfUuMec7O07XuHB1bxUpq4XlZwAAAIGKMoMLWrl/pe7MvFP7C/dXe61NeBv9ferfNanrpGqv5Zc7teFIvkqc7ibLFm63anC7WMWG2JvsGgAAAPBdlBlc1OmK03pswWP655Z/1vj6vQPu1R/H/VERQRGSpNySCq05nCfTbJzZmNoYkgxDSmkfp4Rwto8GAAAINJQZXLLMHZm6d869Oll6stprnWM7a3rGdHWOG6DVh/KatMScz5A0vAOFBgAAINBQZlAnx4qP6Z7Z92jOrjnVXusS11fPj50ti9H8O45ZDGlEx9YsOQMAAAggFm8HgH9JjEjUrFtm6a3JbyncHl553G4J1mPDXpe3qrHHlL44ki+3h24OAAAQKCgzqDPDMHTPVfdoy/1bNKzDMEnSzb3/nxIjOslq8d5zYIqdbu04VeS16wMAAKB5scwMDeLyuPSX9e+qY+wkWQzf6MYjO7biOTQAAAABwDd++oTfsllsGtzhelku8QGaTc2QlH2S2RkAAIBAQJlBgxQ7XMotdehMjfA+U1JuqUPFDpe3owAAAKCJUWbQIDkFpT5SY/7H0JlcAAAAaNm8d7c2/J7HNJVTWNrgZ8rkn8jVp3/9szatWKK848cU3aqVOl3ZU5On3aM+w66p83impJzCUvWMj/SZ5W8AAABofJQZ1FtRhUuuBm6FnHvooH7x3TSFRUXpzv/3SyV16y6Xy6Utny/X28/8XK/OX1WvcV0eU0UOl6KDee4MAABAS8VuZqi3fYWl+vJYYYPG+N29t2v/Nzv06vxVCgkLq/JayelChUdF13vsqxKjlRQddvETAQAA4Je4Zwb1VlDubND9MkUF+dqyapkmfPeuakVGUoOKjCEpv9zZgHQAAADwdZQZ1FtBhbNB98scO7BPpmmq/eVdGi3TWaakwgrKDAAAQEtGmUG9udwNW6FYucKxie7RdzYwHwAAAHwbZQb15mng7VZtk5JlGIYO79ndSImqamg+AAAA+DbKDOqtodseR8bEqt/VIzX/o3+qvLT6c2FKTjdscwG2ZQYAAGjZKDOoN5u14WXhnqefl8fj1pM3TdTahXN1ZN9eHdrzrea+/45+dsuUBo1tb4R8AAAA8F1szYx623K8UDkFjfDQzNzj+s9f/6xNyxcr/0SuouJaqXPP3po87V71GpJSrzENSckxYerXpv47ogEAAMC3UWZQb43xnJmmxHNmAAAAWjaWmaHeYoPt3o5wQTEhvp0PAAAADUOZQb1FBttks/jmfSmGPCp35nk7BgAAAJoQZQb1ZjEMJUeHNdVjYurN7XEpa8ff1PaPbfXkZ096Ow4AAACaCGUGDZIcE9bgDQAam9Vi08I978uUqRfXvKijRUe9HQkAAABNgDKDBokIsikhLMhnZmfcHpe2HF2u48X7JUlWw6pgW7CXUwEAAKApUGbQYD1aR/rM7IxhWPTx1y9Wftw5pLNWL12tFStWKDc314vJAAAA0NgoM2iwuNAgdY0L93YMeUyPZu54Q7vztlQe21W2S3dvvFv/XP5Pbdmypdb3AgAAwP/YvB0ALUP3VpE6XFSuUqfbK7M0bo9Lx4v365Ntf6z2Wq5y9U/9U6X5pepd1FttI9t6ISEAAAAaGzMzaBRWi6HB7WJleOHmGdM05fI49fLaB+X0VNR63oydM9TttW56Zd0rcnlczZgQAAAATYEyg0YTG2JXSvu4Zt8MwGIYWrnvLe3N/1qSZLPYdGv4rUpUYrVzixxFemLhExrwtwFatX9VMycFAABAYzJM0/SVe7fRQuSWVGjN4TyZppp8yZnFkFLaxykiyK2nlj2lPfl7dP9V92t44nD96ZU/aZ17nZZqqSpU84zNHX3u0ItjX1RiRPXiAwAAAN9GmUGTyC93asORfJU43U12jQi7VYPaxSo2xF7j67t371Zubq52Hd6lP2f/WVu0pcbzooKj9NvU3+rBQQ/KZuE2MgAAAH9BmUGTcXtM7ThVpF15JTLUOLM0Z8fpGheu7q0iZbVc2qK2ffv26YWPXlCWM0vHdbzGc/q06aPXJ76uqzte3QhJAQAA0NQoM2hyeWUOZZ8sUm6po96l5uz7EsKC1KN1pOJCg+o8htPp1MeffKyP93ysZVpW69KzaX2n6fdjfq82EW3qkRQAAADNhTKDZlPscCmnoFQ5haVyec78taut3Jx73GYxlBwdpuSYMEUENXwZ2Pbt2zU9c7oWuBfoK31V4znRwdH63ajf6f6B97P0DAAAwEdRZtDsPKapIodLBeVO5Zc7VVjhlNNtymOashiG7FZD0cF2xYbYFRNiV2SQTZZG3vO5vLxcH3zwgdYcXqP5xnwdM4/VeF6/xH56feLrSrkspVGvDwAAgIajzCCgbdiwQfMWzNN6c71WWFaozFNW43l39btLvx/zeyWEJzRzQgAAANSGMoOAd/r0ab3//vvad2qfllqXarN7c43nxYTE6HepZ5aeWS3WZk4JAACA81FmAEmmaWr58uVauXKl9mmfloUu0/6y/TWe2z+xv16f+LqGXTasmVMCAADgXJQZ4BwnTpzQ9OnTVVBUoK0hW7XEvUTFzuIaz/1+v+/rhTEvKD48vplTAgAAQKLMANWYpqk5c+boyy+/VJGK9FWbr7T4+OIaz40NidWzo57VvVfdy9IzAACAZkaZAWpx4MABffzxxyovL1dBTIEWWBdo56mdNZ47oO0AvTHxDQ3pMKSZUwIAAAQuygxwAW63W//+97/1zTffyDRMFXYv1Du731Gxo+alZ3f3v1vPj3lercNaN3NSAACAwEOZAS7Bzp079emnn8rlcimqfZTWRa3TjB0zajw3LjROz416TncPuJulZwAAAE2IMgNcooqKCn344Yc6ePCg7Ha7OlzTQS9sfUE7Tu6o8fyB7QbqjYlvaFD7QbWOaZqmjEZ+ICgAAECgoMwAdbRp0ybNmzdPHo9Hvfr20t74vfrNit+oxFlS7VxDhu4ZcI+eG/2cWoW1qnVMSg0AAEDdUWaAeiguLtb777+vsWPHqnPnzjpSfET/b9H/0yfbP6nx/LjQOL0w+gX9YMAPZDEszZwWAACgZaLMAPVU02zKkr1L9PD8h7XzZM27nvVt1VfPX/O8JvSdcEnjAQAAoHaUGaCROdwOvbLuFf1mxW9U6iytfoIpTUyYqOnfm6640Lj/HabMAAAA1AnrXYBGFmQN0k+G/0Rv9nhTncs7Vz/BkOadmKeur3bV37/8uzymp/lDAgAAtADMzACNrLCwUI888ohWrFihX/7ylzIvN/XHHX/UrlO7ajx/SPshemPSGxrQdkAzJwUAAPBvzMwAjcwwDFmtVh06dEiJiYm6d/S9+u+Y/+qyby6TzWOrdv76w+s18K2BemjuQ8ovy/dCYgAAAP/EzAzQBMrKyvTaa6/p6aefVlpamiwWi/Lz8/XdB76rzLJM/XfHf2t8X+uw1npxzIua1m8au54BAABcBGUGaEJ79+5VamqqTpw4oWnTpunNN9+UJC3cvVCPzH9E3+Z9W+P7hnUYptcnvq7+bfs3Z1wAAAC/wq9+gSbgdrslSQUFBUpISFCPHj30t7/9TRs3bpTH49G4LuP09QNf69lRzyrUFlrt/WsPrdXAtwfq4XkPs/QMAACgFszMAE3E4XBo7NixCgsL029+8xvFx8crOTm52nn7C/briYVPKHNnZo3jxIfF68WxL+rOvney9AwAAOAclBmgCb344ouKiIjQgw8+eNFz5387X48ueFS783bX+HrKZSl6feLr6pfYr5FTAgAA+CfKDNDEXC6XbDbbBR+Kefa1cle5/rjmj3p21bMqc5VVO89iWPTQoIf0TOozigmJaeLkAAAAvo0yA/iIL7/8Uv3795dhGNpXsE9PLHxCWTuzajw3ITxBL419SXf0uaPWggQAANDSUWYALzNNUzt37tSMGTPUqlUr3XnnnYqKipIkzft2nh6d/6j25O+p8b1Xd7xar098XX3a9GnOyAAAAD6BMgP4AI/Ho8zMTG3btk0Wi0Xjxo3T4MGDJUnlrnK9tPolPff5cyp3lVd7r9Ww6uHBD+s3I3+j6JDo5o4OAADgNZQZwIfs2bNHM2bMkMPhUPv27XX77bcrJCREkpSTn6PHFz6uWd/MqvG9bcLb6KWxL+n2Prez9AwAAAQEygzgY5xOp/71r39p7969stlsysjIUI8ePSpfn7Nrjh5b8Jj25u+t8f3XdLxGr098Xb3b9G6uyAAAAF5BmQF81NatWzVr1iy53W516dJFN998s2w2m6QzS89+//nv9fznz6vCXVHtvVbDqkcGP6LfpP5GUcFRzR0dAACgWVBmAB9WVlam6dOn6+jRowoODtYtt9yiTp06Vb6+N3+vHlvwmObsmlPj+xMjEvWHsX/Qd3t/l6VnAACgxaHMAH5g7dq1+uyzz2Sapvr27au0tLQq5WT2N7P12ILHlFOQU+P7r026Vq9PfF29Eno1V2QAAIAmR5kB/ERhYaHee+895efnKzw8XHfccYfatGlT+XqZs0y/X/17vfD5C7UuPXtsyGN6euTTjb70zGOaKqpwKb/CqYJypwoqnHK5TXlMUxbDkM1qKCbYrpgQu2KD7YoMtsnCTBEAAGggygzgR0zT1JIlS7R69WpJ0vDhwzV69OgqszR78vbo0QWPat6382oco21EW/3xuj/qll63NHjpWbHDpZyCUuUUlsrlOfNPiSGppn9Uzj1usxhKjg5TckyYIoJsDcoAAAACF2UG8EPHjx/X9OnTVVJSotjYWE2bNk3R0f97xoxpmpq9a7Yenf+o9hfur3GMkZ1G6rUJr6lnQs86Xz+vzKHsk0XKLXXUWl4u5uz7EsKC1KN1pOJCg+oxCgAACGSUGcBPmaapmTNn6quvvpJhGLruuus0dOjQKueUOkv1wucv6Perfy+H21FtDJvFpseHPK6nRjylyODIi17T7TG141SRduWV1LvEnO/sOF3jwtW9VaSsFpafAQCAS0OZAfzcvn379K9//UsVFRVq27at7rjjDoWGhlY5Z3febj0y/xEt2L2gxjHaRbbTH6/7o27ueXOtS8/yy53acCRfJU53o38OZ4XbrRrcLlaxIfYmuwYAAGg5KDNAC+ByufTJJ59o9+7dslqtSktLU+/eVR+aaZqmZn4zU48teEwHCg/UOE5qp1S9NvE19YjvUeV4bkmF1hzOk2k2zmxMbQxJhiGltI9TQnhwE14JAAC0BJQZoAXZvn27MjMz5Xa7dfnll+uWW26R3V51lqPUWarnVj2nl9a8VOvSsyeGPqGnRjyliKAI5ZZUaPWhvCYtMeczJA3vQKEBAAAXRpkBWpjy8nJ98MEHOnz4sIKCgnTzzTfr8ssvr3bet6e+1SPzH9HCPQtrHKd9ZHv9adxbCrL3l8cL/0pYDGlEx9YsOQMAALWizAAt1IYNG7Rw4UJ5PB7dcMMN6tGjR7X7YUzTVObOTD2+4HEdPH2wymt2S7D+NGGJEiOSZDGszRm9UoTdqtGd4tkUAAAA1IgyA7Rgp0+f1vz583XjjTfKYrHUet62b7Zp2rvTtDlks0zLmX8Sbu/7C6Vd+YAsRu3vaw5d48LVK75xH/IJAABaBsoM0MKd/U/8Yg/I/PLLLzVv/Tz9au2vdMWg/npu7GyvF5mzRnZsxXNoAABANb7xkwqAJmMYxgWLzNmyM2DAAO39Yq+uWH+FfjX8bZmmp7kiXpAhKftkkbdjAAAAH2TzdgAA3uV2u2Wz2TR79mz985//1Acz/qOQ8HbejlXJlJRb6lCxw6WIIP7JAgAA/8PMDBDAzhaZiooK3XXXXbrnnnvUdcg18rXb7Q1JOQWl3o4BAAB8DGUGCGBW65ldym6++WYlJibqiR/+UEfK3Y3yTJmdX36hG3t00G/v/m6DxzIl5RSWysMtfgAA4ByUGSAAHT16VMePH5ckvffee5ozZ46ee+45tenYSa5GeqjM0v/+SxNu/752frlBJ44cavB4Lo+pIoerEZIBAICWgjIDBBiPx6PXXntNffr00b///W89+uij+uEPf6gxY8ao0OFulGuUl5ZqzfzZGnfLnbpq5Bgty5zRKOMWlDsbZRwAANAyUGaAAGOxWPTss88qIyNDN998s1wul2677TaFh4eroNzZKPfLrJ4/U+2SO6v95V107ZTrtey/n6ihu8AbkvIpMwAA4ByUGSBA/fWvf9W6desUGxur2267TdnZ2SqocDbK/TJL/vOxrp16vSSp/zWpKi8t0da1qxo0pimpsIIyAwAA/ocyAwSwwYMH69ChQxo5cqSWLFkil7vhVebw3t3a/fUWXT0xTZJktdmUMmGqln76rwaP7WyEfAAAoOXgoQ0A9Nprr8nlcmnpgbwGj7Xk04/ldrl0z4gB/ztomrLa7CouLFBEdEy9x2Y3MwAAcC7KDABJks1mk8Vo2B0zbpdLK2b+R9OefFr9ho+o8tpLj96tlbP/q4m3f7/e4zc0HwAAaFkoMwAq2awNKwsbl3+m4sJCjb7hVoVHRlV5bei4yVr66ccNKjP2BuYDAAAtC/fMAKgUE2xv0G5mS/7zsfqkXFOtyEjSsOsmKmfHdu3dvrVeYxuSooPtDUgHAABaGsNs6H6pAFqMfYWl+vJYobdj1OqqxGglRYd5OwYAAPARzMwAqBTr4zMfMSG+nQ8AADQvygyASpHBNtksvnlfis1iKDKI2/wAAMD/UGYAVLIYhpKjwxp030xTMCQlR4exmxkAAKiCMgOgiuSYMPnajXSmzuQCAAA4F2UGQBURQTYlhAX5zuyMaSo+1K4IlpgBAIDzUGYAVNOjdaTPzM6Ykr5ZtViHDh3ydhQAAOBjKDMAqokLDVLXuHBvx5AktQ+WPCWn9fe//13z5s1TeXm5tyMBAAAfwXNmANTI7TG1eN8JlTrdXpmlMSSF260a3Slehkxt2LBBy5YtU1BQkCZMmKDu3bvLYEMAAAACGmUGQK3yy51aceCkPF74V8JiSCM6tlbsOc+WKSws1Pz58/XNN9/oiiuu0MSJExUTE9P84QAAgE+gzAC4oNySCq0+lNesszOGpOEd4pQQHlzj6zt37qxccjZy5EgNHTpUFgurZgEACDSUGQAXlVtSoTWH82SaavJSYzGklPa1F5mzKioqtGzZMm3YsEFt2rTR5MmT1b59+yZOBwAAfAllBsAlyS93asORfJU43U10BVMRdpsGtYutsrTsYo4cOaLZs2fr2LFjGjRokEaPHq3g4AsXIQAA0DJQZgBcMrfH1I5TRdqVVyJDjTRLY5oyJZ3Y8ZXa2lyaOnlynW/s93g8Wr9+vZYtW6aQkBCNHz+eDQIAAAgAlBkAdZZX5lD2ySLlljrqXWrOvi8hLEgdQwxlffyB8vPzFRERoTvuuEMJCQl1HrOwsFDz5s3Trl271LVrV02cOFHR0dH1SAcAAPwBZQZAvRU7XMopKFVOYalc/7flWW3l5tzjNouh5OgwJceEKSLIJkkyTVOLFy/WmjVrJEnXXHONRo0aVedMpmlq586dmj9/vsrLy5WamqohQ4awQQAAAC0QZQZAg3lMU0UOlwrKncovd6qwwimn25THNGUxDNmthqKD7YoNsSsmxK7IIJsstSwBO378uKZPn66SkhLFxcXprrvuUmRkZJ0zVVRUaOnSpdqwYYMSExM1ZcoUtWvXrqGfKgAA8CGUGQA+x+PxaObMmdq6dassFovGjRunwYMH12usw4cPa86cOTp+/LgGDRqkUaNGsUEAAAAtBGUGgM/KycnRv/71LzkcDrVr10533HGHQkJC6jzO+RsETJgwQVdeeSUbBAAA4OcoMwB8msvl0r/+9S/t2bNHVqtVGRkZ6tmzZ73GKigo0Pz587Vr1y5169ZNEyZMYIMAAAD8GGUGgF/Yvn27srKy5HK51LlzZ916662yWq11HocNAgAAaDkoMwD8Rnl5uaZPn64jR44oODhYt9xyizp16lSvsSoqKrRkyRJ98cUXatu2rSZPnswGAQAA+BnKDAC/s379ei1atEgej0d9+vRRWlpavWdWDh8+rNmzZys3N1eDBw9WamoqGwQAAOAnKDMA/NLp06f1/vvv69SpUwoPD9cdd9yhNm3a1Gssj8ejdevWafny5QoNDa3cIAAAAPg2ygwAv7Z06VKtWrVKkpSSkqKxY8fWe6yCggLNmzdP3377ra688kqNHz+eDQIAAPBhlBkAfi83N1fTp09XcXGxYmNjNW3atHqXENM0tWPHDs2fP18Oh0OpqakaPHgwGwQAAOCDKDMAWgTTNDV79mxt3rxZhmFo7NixGjZsWL3HKy8v19KlS9kgAAAAH0aZAdCiHDhwQB999JEqKiqUmJioadOm1etBm2cdOnRIc+bMqdwgYNSoUQoKCmrExAAAoL4oMwBaHLfbrRkzZmjXrl2yWq1KS0tT7969GzTe2Q0CwsLCNHHiRHXr1q0REwMAgPqgzABosXbu3KlPP/1ULpdLycnJuvXWW2W32+s93vkbBEyYMEFRUVGNmBgAANQFZQZAi1ZRUaEPPvhAhw4dUlBQkG666SZ17ty53uOZpqns7GwtWLBADodDo0aN0qBBg9ggAAAAL6DMAAgIGzdu1Pz58+XxeNSrVy9lZGQ0qICUl5dryZIl2rhxo9q1a6fJkyerbdu2jZgYAABcDGUGQMAoLi7We++9p5MnTyosLEy33357gwvIoUOHNHv2bJ04cUJDhgxRamoqGwQAANBMKDMAAs7y5cu1cuVKmaapoUOH6rrrrpNhGPUerz4bBMyaNUufffaZJk6cqAkTJtT72gAABDLKDICAdOrUKb3//vs6ffq0oqOjNW3aNMXGxjZozPz8fM2bN0+7d+/W97//fXXo0KHGkuRyufTwww8rJCREH3/8sQYPHqzp06crJiamQdcHACDQUGYABCzTNDVv3jxt3LhRhmFo9OjRGj58eIPHPHDggJKSki56rtvt1vHjx3X33XerQ4cOeuuttxp0bQAAAg1lBkDAO3TokD788EOVl5erTZs2uvPOOxUWFtagMU3TrDIr4zFNFVW4lF/hVH6ZQ4UOl1xuUx7T1OnCQu3P2avBfXrqsvg4xQbbFRlsk6UBS98AAAgElBkAkOTxePTvf/9bO3fulNVq1ZQpU9S3b99q59R1B7Rih0s5BaXKKSyVy3Pmn1tDUk3/8J573GYxlBwdpuSYMEUE2er8+QAAEAgoMwBwjl27duk///mPnE6nkpKSdNttt8lut2vDhg1auXKl7r//fkVERFx0nLwyh7JPFim31FFrebmYs+9LCAtSj9aRigtllzQAAM5FmQGA8zidTn3wwQc6cOCA7Ha7rrvuuspn1Fx11VWaPHlyre91e0ztOFWkXXkl9S4x5zs7Tte4cHVvFSmrheVnAABIlBkAqNXmzZs1Z84ceTyeymOGYejBBx9U69atq52fX+7UhiP5KnG6myxTuN2qwe1iFRtib7JrAADgL+r/+GsAaOH69++vQYMGVTlmmqYWLVpU7dzckgqtOHBSpU1YZCSp1OnWigMnlVtS0aTXAQDAH1BmAKAWhw8f1vr166sd//bbb7Vv377Kj3NLKrT6UJ48ZuMsK7sQU5LHlFYfyqPQAAACHmUGAGpRXFwsu73m5VwffPCBSktLlV/u1JrDeU1eYs5nSlpzOE/55c5mvjIAAL6De2YA4AJM01Rpaany8vKUl5enU6dOafv27crPz1dEZKR6TLlVZW6z2cvMWRF2q0Z3imdTAABAQKLMAEA9FBUVaeU3+1UR2crbUdQ1Lly94qO8HQMAgGbHMjMAqAenLdgniowk7corUV6Zw9sxAABodpQZAKiH7JNF8pWFXYbO5AEAINBQZgCgjoodLuWWOrx2n8z5TEm5pQ4VO1zejgIAQLOizABAHeUUlPrMrMxZhs7kAgAgkNi8HQAA/InHNJVTWFrvWZlXf/q4lmfNkCRZbTZFRMcoqVt3XT0pXakZN8tiqd/vmExJOYWl6hkfKYvha1ULAICmQZkBgDooqnDJ5WnYArP+16TqoedelsfjVuHJE9q8arneffYprV04Vz9745+y2ur3T7PLY6rI4VJ0cM3PxgEAoKWhzABAHeRXNPwhlbagIMXGJ0iSWrVpq8t79lHXfgP067tu0rLMTzTmxtvqN7Bp6lRJOWUGABAwuGcGAOqgoNzZJPfL9B56tTpd2UPrPptf7zFM06NVGzdr9+7djZgMAADfRZkBgDooqHA22S5m7S/vohOHD9b7/YbFqrDY1vrwww/16aefqri4uBHTAQDgeygzAFAHLnfTbchsmqbUwJv3Y1vHKyMjQ3v37tVrr72mjRs3nhkXAIAWiHtmAKAOPE1YDA7t2a027Ts2aAyPaapPnz7q0qWLFi9erLlz52rr1q2aPHmyEhISGikpAAC+gZkZAKiDptr2+Ot1n+vArh0aet3EBo1zNl9YWJimTp2qu+66S2VlZfrb3/6mxYsXy+ls+AYGAAD4CmZmAKAObNaGlxmXw6H8E7lVtmb+71uv6qqRYzQi/cYGjW0/L19SUpLuu+8+rV69WqtWrdKOHTv0ve99TxEREQ26DgAAvoAyAwB1EBNsV35ZwzYB2Lxqme6+pp+sNpvCo6LV6coe+sEvfquRGTfV+6GZkmRINW7LbLPZNGLECPXq1Uu7d+9WeHh4A9IDAOA7DJM7QwHgku0rLNWXxwq9HaNWVyVGKyk6rNbXz/6TbzTRcjkAAJoTMzMAUAexPv5AypiQC+ejxAAAWhI2AACAOogMtslm8c1CYLMYigyq+jsqt9utioqKi76XSXoAgD9imRkA1NHXuae1O7+kyR6eWV+lB3ar4sAuuVwulZaWqqysTE6nU4Zh6KGHHlKrVq1qfJ/b7dbTTz+t0tJSpaen69prr23m5AAA1A/LzACgjpJjwvRtfom3Y1RzcOsXchQXVTtut9sVExNT6/u2b9+unTt3KioqSjfeeKM6deqkv/zlLxoyZEgTpj3zTJyiCpfyK5wqKHeqoMIpl9uUxzRlMQzZrIZigu2KCbErNtiuyGBbk22NDQDwT8zMAEA9fH7wlE6UOnxidsaQFB8WpNYlJ/TJJ59Ue7137976zne+c8ExysvLFRISouLiYv3gBz9QWFiY3nrrLdntjX+PULHDpZyCUuUUlsrlMSs/h5q+lucet1kMJUeHKTkmTBFB/C4OAMA9MwBQLz1aR/pEkZHO/LDfo3WkrrzySk2aNKna6w6H48LvN02FhIRIkiIiIvSDH/xA77//vo4dO3bB97lcrjrlzCtz6PODp7Qo54R255dUFpmzn0ON2c69nsfU7vwSLco5oc8PnlJe2YU/LwBAy0eZAYB6iAsNUtc47z+vxTRNBZ8+qeggqyRp4MCBGj58eOXrl112mSZPniyPx1PrGIZhVCk8u3btUkJCQmXBqcnhw4f14osvKjs7+6IZ3R5T206c1vIDZ2azpNrLy8Wcfd+JUoeWHzilbSdOy+3xlVoJAGhulBkAqKfurSIVbrfKm3dx2NxObV40W2+//baOHz8uSRo9erR69eolSRo+fLgiIiIu+jDOoKAgFRQU6Je//KWefvpp/eQnP1F8fHy18yoqKrRnzx7NnDlTTqdTc+fOveBuafnlTi3ed0K78s7cY9RYtePsOLvySrR43wnllzsbaWQAgD/hnhkAaID8cqdWHDgpb0wOWAxpRMfWKs8/qczMTOXl5Sk1NVXDhg2TaZravXu3unbtetFny+zYsUPvvvuuFi5cKJfLpSeffFLTpk2rdp5pmtq+fbs+/fTTymOGYWjw4MEaP358tfNzSyq05nCeTLPxSkxNDEmGIaW0j1NCeHATXgkA4GsoMwDQQLklFVp9KK9Z76ExJA3v8L8f3l0ul5YuXaq1a9eqY8eOSk9PV2xs7AXHWLx4sT744APNmjVLQ4YM0T333KMxY8YoKipK0pnycn4RKiws1F/+8pdqy9buu+8+JSYmVn7sC18TAEDLR5kBgEbQXLMQ0pkZmdpmIfbv36+srCyVlpbqlltuUXJyco1jfPPNN+revbuSk5OVlZWl3r17S6q5wJzrww8/1O7du6sdT0hI0P333y/DMHxitio2pPF3YQMA+B7umQGARpAQHqwRHVsrzG5t0utE2K0a0bF1rbMPSUlJuv/++9WzZ09ZLJZab/xv1aqVnnjiCeXn5+v666/XCy+8oFOnTl2wyHg8Hp04caLG13Jzc7VixQq5PaY2HMmXt35N5jGlL47ksykAAAQIZmYAoBG5PaZ2nCrSrrySWp+dUldnx+kaF67urSJltTTulgPvvvuu/vSnPyk7O1vvvPOOpk2bJqu1aikrKSnR3//+d/Xr10/du3eXJBUXF6uoqEinT59WTk6OUlJSVBYVX3mzvzd1jQtXr/gob8cAADQxygwANIG8MoeyTxYpt9RR71Jz9n0JYUHq0TpScaFBjRvyPDt37lRxcbEGDhxY5bhpmioqKtKyZcu0bds2eTwedevWTQMHDlRycnLlbE5e2Zntkn3FyI6tmvxrBgDwLsoMADShlva0+/Lycm3dulUbN27UiRMnFBcXp6uuukr9+vXTl6fKdKLU4RMPEzUkxYcF6erLWnk7CgCgCVFmAKAZeExTRQ6XCsqdyi93qrDCKafblMc0ZTEM2a2GooPtig2xKybErsggmywX2VLZm0zT1MGDB7Vx40ZlZ2crKCJKXSbc6O1Y1VyXHO9TZRAA0LgoMwCABiktLdWG/ceVbwnxiVmZswxJXWLD1TuBe2cAoKXi11UAgAYJCQ3VaVuozHruIPbqTx/X8qwZlR9HRMeqS+++uuPHv1Snbj3qncuUlFNYqp7xkT49ywUAqD+2ZgYANEhRhavyfqD66n9Nqt5ZtUXvrNqiX//zE1mtNj1//50NzubynFneBwBomSgzAIAGya9wNngMW1CQYuMTFBufoOTuvZR+z0M6efSICvMavjtaQXnD8wEAfBNlBgDQIAXlTjXmIq6ykhKtmv1fJSYlKzImtkFjGZLyKTMA0GJxzwwAoAqHw6E1a9YoOjpa/fr1q3yOTG0KKpwNvvF/0/LFum1AF0lSeWmpYuPb6Od/fU8WS8N+52ZKKmyEmSMAgG+izAAAqjBNU4WFhVqxYoW++eYbTZ48WREREbWe73I3fA+zXkNSdO/TL0iSigsLtOCj9/S7e2/XCzPmKaF9hwaN7WyEfAAA38QyMwBAFcHBwUpLS9Mtt9yiQ4cO6c0339SOHTtqPd/TCDv8B4eGqW1SstomJeuKPv314LN/VEVZqRb/+8MGj90Y+QAAvokyAwCoUbdu3fTAAw+oY8eOmjFjhjIzM1VeXl7tvKbY9tgwDBmGRY4arldXbMsMAC0Xy8wAALUKDw/XTTfdpK1bt2r+/Pnat2+f0tLSdPnll1eeY7M2vCy4HA7ln8iVJJWcLtT8D99VeWmJBqaObfDY9kbIBwDwTZQZAMAFGYahvn37qlOnTpo5c6amT5+uwYMHa8yYMbLb7YoJtiu/rGGbAGxetUx3X9NPkhQaHqH2l3fRj155S72GpDQsu6ToYHuDxgAA+C7DNFlMDAC4NKZpasOGDVq8eLGio6OVkZEhZ0SsvjxW6O1otboqMVpJ0WHejgEAaAKUGQBAnZ04cUJZWVk6evSohqWOUVFCsrcj1Wp0p9bMzgBAC0WZAQDUi9vt1qpVq7Ry1Sr1+M40WWy+VxhsFkOTu7RhEwAAaKEoMwCABjly5IgWb/tW4Zd1kdHAh1w2JkNSl9hw9U6I8nYUAEATocwAABqsoLRcSw/meztGNdclxysiiL1uAKCl8p1foQEA/FZMWIgSwoKkBu1p1ngMSQlhQRQZAGjhKDMAgEbRo3WkztQI7zN1Ng8AoCWjzAAAGkVcaJC6xoV7O4YkqWtcuOJCg7wdAwDQxCgzAIBG071VpMLtVq/NzxiSIuxWdW/FrAwABALKDACg0Vgthga3i5W3dkI2DGlQu1hZLb6x3A0A0LQoMwCARhUbYldK+7hmn50xJKW0j1NsiO897wYA0DTYmhkA0CRySyq05nCeTLPp9zizGGeKTEJ4cBNfCQDgSygzAIAmk1/u1IYj+SpxupvsGhF2qwa1i2VGBgACEGUGANCk3B5TO04VaVdeiQw1zizN2XG6xoWre6tI7pEBgABFmQEANIu8MoeyTxYpt9RR71Jz9n0JYUHq0TqS7ZcBIMBRZgAAzarY4VJOQalyCkvl8pz5X1Bt5ebc4zaLoeToMCXHhCkiyNZMaQEAvowyAwDwCo9pqsjhUkG5U/nlThVWOFVSVqGi4mJ53G5FR4arXVyMYkPsigmxKzLIJou39nwGAPgkygwAwKeUl5dr/vz52rp1q7p3765JkyYpPDzc27EAAD6IMgMA8EnZ2dmaM2eOLBaLpkyZom7dunk7EgDAx1BmAAA+q7i4WLNnz9auXbvUr18/jR8/XsHBPEsGAHAGZQYA4NNM09TmzZu1cOFChYWFKS0tTZ06dfJ2LACAD6DMAAD8Qn5+vrKysnTgwAENGzZMo0aNks3GrmYAEMgoMwAAv+HxeLRu3TotXbpUcXFxysjIUNu2bb0dCwDgJZQZAIDfyc3NVWZmpnJzczVixAhdffXVslgs3o4FAGhmlBkAgF9yu91asWKFPv/8c7Vr104ZGRlq1aqVt2MBAJoRZQYA4NcOHTqkzMxMnT59WmPHjtWgQYNk8HBNAAgIlBkAgN9zOBxavHixvvjiC11++eVKS0tTVFSUt2MBAJoYZQYA0GLs2bNHM2fOlMPh0MSJE9W7d29maQCgBaPMAABalLKyMs2fP19ff/21evTooUmTJiksLMzbsQAATYAyAwBokbZv3665c+fKarVqypQp6tq1q7cjAQAaGWUGANBiFRUVafbs2fr22281YMAAXXfddQoODvZ2LABAI6HMAABaNNM09eWXX2rhwoUKDw9Xenq6kpKSvB0LANAIKDMAgICQl5enrKwsHTx4UCkpKUpNTZXNZvN2LABAA1BmAAABw+PxaO3atVq2bJlatWqljIwMJSYmejsWAKCeKDMAgIBz/PhxZWZm6sSJExo5cqSGDx8ui8Xi7VgAgDqizAAAApLL5dKKFSu0evVqtW/fXunp6WrVqpW3YwEA6oAyAwAIaAcOHFBWVpaKi4s1duxYDRw4kAdtAoCfoMwAAAKew+HQokWLtGnTJnXu3FlTp05VVFSUt2MBAC6CMgMAwP/59ttvNWvWLLlcLk2cOFG9e/f2diQAwAVQZgAAOEdZWZnmzp2r7du3q2fPnpo4caLCwsK8HQsAUAPKDAAANdi2bZvmzp0rm82mqVOn6oorrvB2JADAeSgzAADU4vTp05o1a5b27Nmjq666Stddd52CgoK8HQsA8H8oMwAAXIBpmtq0aZMWLVqkiIgIpaenq2PHjt6OBQAQZQYAgEuSl5enzMxMHT58WCkpKRo5cqRsNpu3YwFAQKPMAABwiTwej9asWaNly5YpPj5eGRkZatOmjbdjAUDAoswAAFBHx44dU2Zmpk6ePKnU1FSlpKTIYrF4OxYABBzKDAAA9eByubRs2TKtWbNGl112mdLT0xUXF+ftWAAQUCgzAAA0wIEDB5SZmamSkhKNGzdOAwYMkGEY3o4FAAGBMgMAQANVVFRo0aJF+vLLL9WlSxdNnTpVkZGR3o4FAC0eZQYAgEby7bffatasWXK73Zo0aZJ69uzp7UgA0KJRZgAAaESlpaWaO3eusrOz1atXL02cOFGhoaHejgUALRJlBgCARmaaprZt26Z58+bJbrcrLS1NnTt39nYsAGhxKDMAADSR06dPa+bMmdq7d68GDhyosWPHKigoyNuxAKDFoMwAANCETNPUxo0btWjRIkVFRSk9PV2XXXaZt2MBQItAmQEAoBmcOnVKmZmZOnLkiIYPH66RI0fKarV6OxYA+DXKDAAAzcTj8ejzzz/XihUrFB8fr4yMDLVp08bbsQDAb1FmAABoZkePHlVmZqby8vKUmpqqYcOGyWKxeDsWAPgdygwAAF7gcrm0dOlSrV27Vh07dlR6erpiY2O9HQsA/AplBgAAL9q/f7+ysrJUWlqqcePGqX///jIMw9uxAMAvUGYAAPCyiooKLVy4UJs3b9YVV1yhqVOnKiIiwtuxAMDnUWYAAPAR33zzjWbPni2Px6PJkyerR48e3o4EAD6NMgMAgA8pKSnR3LlztWPHDvXu3VsTJkxQaGiot2MBgE+izAAA4GNM09TXX3+tefPmKSgoSGlpaercubO3YwGAz6HMAADgowoLCzVz5kzl5ORo0KBBGjt2rOx2u7djAYDPoMwAAODDTNPUF198oc8++0zR0dFKT09Xhw4dvB0LAHwCZQYAAD9w8uRJZWVl6ciRI7r66qs1YsQIWa1Wb8cCAK+izAAA4Cc8Ho9WrVqllStXqk2bNkpPT1dCQoK3YwGA11BmAADwM0eOHFFmZqby8/M1evRoDR06lAdtAghIlBkAAPyQ0+nU0qVLtW7dOiUlJSk9PV0xMTHejgUAzYoyAwCAH9u3b5+ysrJUVlam8ePHq1+/fszSAAgYlBkAAPxcRUWFFixYoC1btqhbt26aPHmyIiIivB0LAJocZQYAgBZi586dmj17tiRp8uTJ6t69u5cTAUDToswAANCClJSUaM6cOdq5c6f69u2r8ePHKyQkxNuxAKBJUGYAAGhhTNPUV199pQULFig4OFhpaWm6/PLLvR0LABodZQYAgBaqoKBAM2fO1L59+zR48GCNGTNGdrvd27EAoNFQZgAAaMFM09T69eu1ZMkSRUdHKyMjQ+3bt/d2LABoFJQZAAACwIkTJ5SZmaljx47pmmuu0bXXXiur1ertWADQIJQZAAAChNvt1qpVq7Ry5UolJiYqIyND8fHx3o4FAPVGmQEAIMAcPnxYmZmZKigo0JgxYzRkyBAetAnAL1FmAAAIQE6nU0uWLNH69evVqVMnpaWlKSYmxtuxAKBOKDMAAASwnJwcZWVlqby8XBMmTFDfvn2ZpQHgNygzAAAEuPLyci1YsEBfffWVrrzySk2ePFnh4eHejgUAF0WZAQAAkqQdO3Zozpw5kqQpU6boyiuv9HIiALgwygwAAKhUXFys2bNna9euXerXr5/GjRunkJAQb8cCgBpRZgAAQBWmaWrLli1asGCBQkNDlZaWpuTkZG/HAoBqKDMAAKBGBQUFysrK0v79+zV06FCNGjVKdrvd27EAoBJlBgAA1Mo0Ta1bt05LlixRbGysMjIy1K5dO2/HAgBJlBkAAHAJTpw4oczMTB0/flzXXnutrr76almtVm/HAhDgKDMAAOCSuN1urVy5UqtWrVLbtm2VkZGh1q1bezsWgABGmQEAAHVy6NAhZWVlqbCwUGPGjNHgwYN50CYAr6DMAACAOnM6nVq8eLE2bNig5ORkpaWlKTo62tuxAAQYygwAAKi3vXv3aubMmaqoqNCECRPUp08fZmkANBvKDAAAaJDy8nLNnz9fW7duVffu3TVp0iSFh4d7OxaAAECZAQAAjSI7O1tz5syRxWLRlClT1K1bN29HAtDCUWYAAECjKS4u1uzZs7Vr1y7169dP48ePV3BwsLdjAWihKDMAAKBRmaapzZs3a+HChQoLC9Odd96p2NjYWs93Op366KOPdNVVV6lXr17NmBSAv6PMAACAJpGfn6+VK1dq8uTJF3zA5l/+8pfK2ZyMjAy98sorzRcSgF+jzAAAgCZz9seMi+1wduzYMe3cuVM/+clPlJycrHfffZdNBABclMXbAQAAQMtlGMYFi4zH45EkJSYmauTIkXrxxReVnZ2tI0eONFdEAH6MMgMAALzGMAw5nc7KjwcMGKAdO3Zo586dXkwFwF9QZgAAgNcYhiG73S5J2rNnjx566CF16NBBQ4cO9XIyAP7A5u0AAAAgsLjdbhUXF2vXrl365ptvtGnTJm3ZskUHDhyQJH300UeKj4/3ckoA/oANAAAAQLMxTVPjxo3Tt99+q8jISNlsNrVv315jxoxRSkqKOnXqRJEBcMmYmQEAAM0mPz9fu3bt0oEDB7Ry5UpdffXVVV4/uyEAAFwK7pkBAADNJi4uTvv27dOjjz6q1NRUPfPMM1Vet1j40QTApWOZGQAA8Irly5frpptuUocOHfTZZ5+pVatW1c4xTfOiz6gBELj49QcAAPCKkSNHKjc3VxkZGdqzZ0+1103T1KZNm7R//34vpAPgD5iZAQAAXlfTDIzL5dIHH3yg/fv3KyUlRampqbLZuN0XwP9QZgAAgM/yeDxau3atli1bplatWikjI0OJiYnejgXAR1BmAACAzzt+/LgyMzN14sQJjRw5UsOHD2ezAACUGQAA4B9cLpdWrFih1atXq3379kpPT69x0wAAgYMyAwAA/MqBAweUlZWl4uJijR07VgMHDmTHMyBAUWYAAIDfcTgcWrRokTZt2qTOnTtr6tSpioqK8nYsAM2MMgMAAPzWt99+q1mzZsnlcmnixInq3bu3tyMBaEaUGQAA4NfKyso0d+5cbd++XT179tTEiRMVFhbm7VgAmgFlBgAAtAjbtm3T3LlzZbPZNHXqVF1xxRXejgSgiVFmAABAi3H69GnNmjVLe/bs0VVXXaXrrrtOQUFB3o4FoIlQZgAAQItimqY2bdqkRYsWKSIiQunp6erYsaO3YwFoApQZAADQIuXl5SkzM1OHDx9WSkqKRo4cKZvN5u1YABoRZQYAALRYHo9Hq1ev1vLlyxUfH6+MjAy1adPG27EANBLKDAAAaPGOHTumzMxMnTx5UqmpqUpJSZHFYvF2LAANRJkBAAABweVyadmyZVqzZo0uu+wypaenKy4uztuxADQAZQYAAASU/fv3KysrSyUlJRo3bpwGDBggwzC8HQtAPVBmAABAwKmoqNCiRYv05ZdfqkuXLpo6daoiIyO9HQtAHVFmAABAwNq1a5dmzZolj8ejSZMmqWfPnt6OBKAOKDMAACCglZaWau7cucrOzlavXr00ceJEhYaGejsWgEtAmQEAAAHPNE1t27ZN8+bNk91uV1pamjp37uztWAAugjIDAADwf06fPq2ZM2dq7969GjhwoMaOHaugoCBvxwJQC8oMAADAOUzT1MaNG7Vo0SJFRUUpPT1dl112mbdjAagBZQYAAKAGp06dUmZmpo4cOaLhw4dr5MiRslqt3o4F4ByUGQAAgFp4PB59/vnnWrFiheLj45WRkaE2bdp4OxaA/0OZAQAAuIijR48qMzNTeXl5Sk1N1bBhw2SxWLwdCwh4lBkAAIBL4HK5tHTpUq1du1YdO3ZUenq6YmNjvR0LCGiUGQAAgDrYv3+/srKyVFpaqnHjxql///4yDMPbsYCARJkBAACoo4qKCi1cuFCbN2/WFVdcoalTpyoiIsLbsYCAQ5kBAACop2+++UazZ8+Wx+PR5MmT1aNHD29HAgIKZQYAAKABSkpKNHfuXO3YsUO9e/fWhAkTFBoa6u1YQECgzAAAADSQaZr6+uuvNW/ePAUFBSktLU2dO3f2diygxaPMAAAANJLCwkLNnDlTOTk5GjRokMaOHSu73e7tWECLRZkBAABoRKZpasOGDVq8eLGio6OVnp6uDh06eDsW0CJRZgAAAJrAyZMnlZmZqaNHj+rqq6/WiBEjZLVavR0LaFEoMwAAAE3E4/Fo1apVWrlypdq0aaP09HQlJCR4OxbQYlBmAAAAmtiRI0eUmZmp/Px8jR49WkOHDuVBm0AjoMwAAAA0A6fTqaVLl2rdunVKSkpSenq6YmJivB0L8GuUGQAAgGaUk5OjmTNnqqysTOPHj1e/fv2YpQHqiTIDAADQzCoqKrRgwQJt2bJF3bp10+TJkxUREeHtWIDfocwAAAB4yc6dOzV79mxJ0uTJk9W9e3cvJwL8C2UGAADAi0pKSjRnzhzt3LlTffv21fjx4xUSEuLtWIBfoMwAAAB4mWma+uqrr7RgwQIFBwcrLS1Nl19+ubdjAT6PMgMAAOAjCgoKNHPmTO3bt0+DBw/WmDFjZLfbvR0L8FmUGQAAAB9imqbWr1+vJUuWKDo6WhkZGWrfvr23YwE+iTIDAADgg06cOKHMzEwdO3ZM11xzja699lpZrVZvxwJ8CmUGAADAR7ndbq1atUorV65UYmKiMjIyFB8f7+1YgM+gzAAAAPi4w4cPKzMzUwUFBRozZoyGDBnCgzYBUWYAAAD8gtPp1JIlS7R+/Xp16tRJaWlpiomJ8XYswKsoMwAAAH4kJydHWVlZKi8v14QJE9S3b19maRCwKDMAAAB+pry8XAsWLNBXX32lK6+8UpMnT1Z4eLi3YwHNjjIDAADgp3bs2KE5c+ZIkqZMmaIrr7zSy4mA5kWZAQAA8GPFxcWaPXu2du3apX79+mncuHEKCQnxdiygWVBmAAAA/JxpmtqyZYsWLFig0NBQpaWlKTk52duxgCZHmQEAAGghCgoKlJWVpf3792vo0KEaNWqU7Ha7t2MBTYYyAwAA0IKYpql169ZpyZIlio2NVUZGhtq1a+ftWECToMwAAAC0QLm5ucrKytLx48d17bXX6uqrr5bVavV2LKBRUWYAAABaKLfbrZUrV2rVqlVq27atMjIy1Lp1a2/HAhoNZQYAAKCFO3TokLKyslRYWKgxY8Zo8ODBPGgTLQJlBgAAIAA4nU4tXrxYGzZsUHJystLS0hQdHe3tWECDUGYAAAACyN69ezVz5kxVVFRowoQJ6tOnD7M08FuUGQAAgABTXl6u+fPna+vWrerevbsmTZqk8PBwb8cC6owyAwAAEKCys7M1Z84cWSwWTZkyRd26dfN2JKBOKDMAAAABrLi4WLNnz9auXbvUr18/jR8/XsHBwd6OBVwSygwAAECAM01Tmzdv1sKFCxUWFqa0tDR16tTJ27GAi6LMAAAAQJKUn5+vrKwsHThwQMOGDdOoUaNks9m8HQuoFWUGAAAAlTwej9atW6elS5cqLi5OGRkZatu2rbdjATWizAAAAKCa3NxcZWZmKjc3VyNGjNDVV18ti8Xi7VhAFZQZAAAA1MjtdmvFihX6/PPP1a5dO2VkZKhVq1bejgVUoswAAADggg4ePKisrCydPn1aY8eO1aBBg3jQJnwCZQYAAAAX5XA49Nlnn2njxo26/PLLlZaWpqioKG/HQoCjzAAAAOCS7d69W7NmzZLD4dDEiRPVu3dvZmngNZQZAAAA1ElZWZnmz5+vr7/+Wj169NCkSZMUFhbm7VgIQJQZAAAA1Mv27ds1d+5cWa1WTZkyRV27dvV2JAQYygwAAADqraioSLNmzdLu3bs1YMAAXXfddQoODvZ2LAQIygwAAAAaxDRNffnll1q4cKHCw8OVnp6upKQkb8dCAKDMAAAAoFHk5eUpKytLBw8eVEpKilJTU2Wz2bwdCy0YZQYAAACNxuPxaO3atVq2bJlatWqljIwMJSYmejsWWijKDAAAABrd8ePHlZmZqRMnTmjkyJEaPny4LBaLt2OhhaHMAAAAoEm4XC6tWLFCq1evVvv27ZWenq5WrVp5OxZaEMoMAAAAmtSBAweUlZWl4uJijR07VgMHDuRBm2gUlBkAAAA0OYfDoUWLFmnTpk3q3Lmzpk6dqqioKG/Hgp+jzAAAAKDZfPvtt5o1a5ZcLpcmTpyo3r17ezsS/BhlBgAAAM2qrKxMc+fO1fbt29WzZ09NnDhRYWFh3o4FP0SZAQAAgFds27ZNc+fOlc1m09SpU3XFFVd4OxL8DGUGAAAAXnP69GnNmjVLe/bs0VVXXaXrrrtOQUFB3o4FP0GZAQAAgFeZpqlNmzZp0aJFioiIUHp6ujp27OjtWPADlBkAAAD4hLy8PGVmZurw4cNKSUnRyJEjZbPZvB0LPowyAwAAAJ/h8Xi0evVqLV++XPHx8crIyFCbNm28HQs+ijIDAAAAn3Ps2DFlZmbq5MmTSk1NVUpKiiwWi7djwcdQZgAAAOCTXC6Xli1bpjVr1uiyyy5Tenq64uLivB0LPoQyAwAAAJ+2f/9+ZWVlqaSkROPGjdOAAQNkGIa3Y8EHUGYAAADg8yoqKrRo0SJ9+eWX6tKli6ZOnarIyEhvx4KXUWYAAADgN3bt2qXZs2fL7XZr0qRJ6tmzp7cjwYsoMwAAAPArpaWlmjt3rrKzs9WrVy9NnDhRoaGh3o4FL6DMAAAAwO+Ypqlt27Zp3rx5stvtSktLU+fOnb0dC82MMgMAAAC/dfr0ac2cOVN79+7VwIEDNXbsWAUFBXk7FpoJZQYAAAB+zTRNbdy4UYsWLVJUVJTS09N12WWXeTsWmgFlBgAAAC3CqVOnlJmZqSNHjmj48OEaOXKkrFart2OhCVFmAAAA0GJ4PB59/vnnWrFiheLj45WRkaE2bdp4OxaaCGUGAAAALc7Ro0eVmZmpvLw8paamatiwYbJYLN6OhUZGmQEAAECL5HK5tHTpUq1du1YdO3ZUenq6YmNjvR0LjYgyAwAAgBZt//79ysrKUmlpqcaNG6f+/fvLMAxvx0IjoMwAAACgxauoqNDChQu1efNmXXHFFZo6daoiIiK8HQsNRJkBAABAwPjmm280e/ZseTweTZ48WT169PB2JDQAZQYAAAABpaSkRHPnztWOHTvUu3dvTZgwQaGhod6OhXqgzAAAACDgmKapr7/+WvPmzVNQUJDS0tLUuXNnb8dCHVFmAAAAELAKCws1c+ZM5eTkaNCgQRo7dqzsdru3Y+ESUWYAAAAQ0EzT1IYNG7R48WJFR0crPT1dHTp08HYsXALKDAAAACDp5MmTyszM1NGjR3X11VdrxIgRslqtjXoNj2mqqMKl/AqnCsqdKqhwyuU25TFNWQxDNquhmGC7YkLsig22KzLYJgvbSNeKMgMAAAD8H4/Ho1WrVmnlypVq06aN0tPTlZCQUOV1p9Op4ODgOo1b7HApp6BUOYWlcnnO/PhtSKrpB/Fzj9sshpKjw5QcE6aIIFu9PqeWjDIDAAAAnOfIkSPKzMxUfn6+Ro8eraFDh0qSPvzwQ506dUoPPfSQbLaLl4u8MoeyTxYpt9RRa3m5mLPvSwgLUo/WkYoLDarHKC0TZQYAAACogdPp1NKlS7Vu3TolJSXp8ssv17JlyyRJY8eOVUpKSq3vdXtM7ThVpF15JfUuMec7O07XuHB1bxUpq4XlZ5QZAAAA4AL27dunTz/9VMXFxZXHgoKC9Pjjj9f4fJr8cqc2HMlXidPdZJnC7VYNbher2JDA3nnN4u0AAAAAgC/r2LGjIiMjqxxzOp1asWJFtXNzSyq04sBJlTZhkZGkUqdbKw6cVG5JRZNex9dRZgAAAIALWL9+vY4ePVrl2NntnPPy8iqP5ZZUaPWhPHnMxllWdiGmJI8prT6UF9CFhjIDAAAAXIDNZlNUVJSM87ZINk1TM2bMkHRmadmaw3lNXmLOZ0paczhP+eXOZr6yb+CeGQAAAOASuN1uFRQUKC8vT3l5efr2228VFxenceMnaPG+Eyp1upu9zJwVYbdqdKf4gNsUgDIDAAAANMC2E6e1K6/E2zHUNS5cveKjvB2jWbHMDAAAAKinvDKHTxQZSdqVV6K8Moe3YzQrygwAAABQT9kni+QrC7sMnckTSCgzAAAAQD0UO1zKLXV47T6Z85mScksdKna4vB2l2VBmAAAAgHrIKSj1mVmZswydyRUobN4OAAAAAPgbj2kqp7C0QbMyr/70cS3PmlHteL+rR+pX73xUrzFNSTmFpeoZHymL4WtVq/FRZgAAAIA6KqpwyeVp+AKz/tek6qHnXq5yzB4U1KAxXR5TRQ6XooPtDRrHH1BmAAAAgDrKr2ich1TagoIUG5/QKGOdq6DcGRBlhntmAAAAgDoqKHf63P0yZxmS8ssbp2z5OmZmAAAAgDoqqHA2yi5mm5Yv1m0DulQ5ln73Q7rxwSfqPaYpqbCRZo58HWUGAAAAqCOXu3E2ZO41JEX3Pv1ClWMR0TENHtfZSPl8HWUGAAAAqCOP2ThlITg0TG2TkhtlrHM1Vj5fxz0zAAAAQB35+rbHvp6vsTAzAwAAANSRzdo4ZcHlcCj/RG6VY1abVVGxrRo0rr2R8vk6ygwAAABQRzHBduWXNXwTgM2rlunua/pVOdYuubNenb+q3mMaUkBsyyxJhmkGyII6AAAAoJHsKyzVl8cKvR2jVlclRispOszbMZoc98wAAAAAdRTr4zMfMSG+na+xUGYAAACAOooMtslm8c37UmwWQ5FBgXE3CWUGAAAAqCOLYSg5Oky+VmcMScnRYQGzmxllBgAAAKiH5JiwBm8A0NhMnckVKCgzAAAAQD1EBNmUEBbkM7MzhqSEsCBFBMgSM4kyAwAAANRbjwi7TNPj7RiSzszK9Ggd6e0YzYoyAwAAANTHjh2KHj5UXd95U/J4v9B0jQtXXGiQt2M0K54zAwAAANTV1q3yDBsmS2mp3EHBWjxnmUov6yjTaP65AkNSuN2q0Z3iZfXRHdaaCjMzAAAAQB2YpqkDr7wiS2npmQNdOmvwZa1kWLzzo7VhSIPaxQZckZEoMwAAAECNqi1gKiyUtm+XaZpy3HabckeMkPnTn8r6xReKvbKrUtrHNftmAIaklPZxig2Qh2Sej2VmAAAAgKRvvvlGW7duldVq1ZQpU2S3n1MQZsyQ7r5bKiqS3ntPuvPOGsfILanQmsN5Mk01+bbNFuNMkUkID27iK/kuZmYAAAAQ8P70pz9pxIgR+sMf/qA777xTqampOnz4sFRRIT38sHTzzWeKjCQdP17rOAnhwRrRsbXC7NYmzRtht2pEx9YBXWQkZmYAAAAQ4J555hn94x//0JtvvqmhQ4eqvLxcvXr10tN33KFHVq2SNm3638m33Sa9844UEnLBMd0eUztOFWlXXokMNc4szdlxusaFq3uryIC8R+Z8lBkAAAAErNOnT2vq1Km67777dOutt8rlcslms+mf6em6Ye5cRbhcZ04MDpZeffXMUjPj0ktEXplD2SeLlFvqqHepOfu+hLAg9WgdGXDbL18IZQYAAAABbd68eRowYIASExMlh0P66U+ll1/+3wldukj//rfUr1+9r1HscCmnoFQ5haVyec78+F1buTn3uM1iKDk6TMkxYYoIstX7+i0VZQYAAAA+yWOaKqpwKb/CqYJypwoqnHK5TXlMUxbDkM1qKCbYrpgQu2KD7YoMtslSh1mT85n790s33yxj/fr/HbzhBnnefluWmJiGf0L6v8/J4VJBuVP55U4VVjjlPOdzslsNRQfbFRty5vOKDGrY59TSUWYAAADgU7wyi5GfL3XvXnlzv9MwtHTSJI2bNUsyDG3cuFFRUVHq2rVrfT8tNAF2MwMAAIBPyCtz6PODp7Qo54R255dUFhmp9ntNzj3u8pjanV+iRTkn9PnBU8orc9R6rWq/z8/OriwyZqdOurFdO5kPPSQZhh599FENHTpUhYWF9fzM0FRYeAcAAACvOn/nL6n+u3+dfd+JUoeWHzhV685f5eXlCioqknXNGmnsWGnIEOmll6TiYh276SYduvNOhYeH65prrtHBgwe1efNm9e7du76fIpoIy8wAAADgNfnlTm04kq8Sp7vJrhFut2pwu1jFhpx5CKbH49HiJ5/U2Pfek3HihJSWJmVlVZ6/bds29enTR5I0adIkzZ49u8myoWFYZgYAAACvyC2p0IoDJ1XahEVGkkqdbq3Yf0K5mbOl7GyduvNOjf3DH84UGUkKqrrVcdeuXRUaGqp3332XIuPjmJkBAABAs8stqdDqQ3mN8jDJS+J2y/B4NPze25WwdlXl4fyUFMXMnCmjdesqpzscDgUF8TwXX8fMDAAAAJpVfrlTaw43Y5GRJKtVpsWiNW/+U/k9e8uUtO+223TsrbfkjomptiEARcY/MDMDAACAZuP2mFq874RKne7mLTNnuVyKOLhfo9PGyOqokDweiee4+C1mZgAAANBsdpwqUom3iowk2WwqTkrWjod/dObjzExvJUEjYGYGAAAAzSKv7Mx2yT7B49HImycrbsVSKTbW22lQT8zMAAAAoFlknyySryzoMgxD2XM+o8j4OcoMAAAAmlyxw6XcUof3lpedxzQM5ZY5VexweTsKGoAyAwAAgCaXU1DaKLMyT91xvd597qlGGEkydCYX/Bf3zAAAAKBJeUxTc3Yfl8tj6tWfPq7lWTOqndPv6pH61TsfXXSsooJ82Wx2hUZESJLuHzVYk6fdo8nT7qk8x1FRrr89/VPt3b5Vh/Z+q6tGjtFPX/9HjePZLIYmd2kjCzua+SWbtwMAAACgZSuqcMnl+d/vz/tfk6qHnnu5yjn2S3yuS2TMxe9x8bg9CgoJ0cQ7fqB1i+Ze8FyXx1SRw6XoYPslXR++hWVmAAAAaFL5Fc4qH9uCghQbn1DlT0R0jLatX6Obeycpe+P6ynNnvftX3TW0p/Jzj0uquszsqTuu14kjh/SP55/W9Ve20/VXtpMkhYSF6b5fv6CxN92mmNYJF81XUO686DnwTZQZAAAANKmCcucl3S/Ta0iKJt15t/7yk0dUUnRa+3Zu10ev/F4P/PYPik1oU+38H7/6jlolttUtj/5Y76zaondWbalzNkNSPmXGb7HMDAAAAE2qoMJZZRezTcsX67YBXaqck373Q7rxwSd062NPauvaVfrrUz/Wwd27NCLteg0ZO6HGcSNjYmWxWBUaHqHY+IvPwNTElFRYQZnxV5QZAAAANCmXu+p+U72GpOjep1+ociwiOkbSmXtnHnvxNf0wbbTi23XQ9372TJPnc7rZD8tfUWYAAADQpDznbZ4bHBqmtknJtZ7/zeYvJEnFhQUqLsxXSFhYs+aD/+CeGQAAADSpumx7fOzAPv3j+V/rgWdeUte+A/SXJx+Tx+Op9XybPUget7vZ8sG3UGYAAADQpGzWqmXB5XAo/0RulT+n80/J7XbrLz95RH2Hj9Co62/RQ8+9rIPf7tSsf/y11rET2ndQ9sZ1OnX8qE7nn6o8fnD3LuXs2KbiwnyVFhUpZ8c25ezYVuMYditlxl+xzAwAAABNKibYrvyy/20CsHnVMt19Tb8q57RL7qxrJmco9/Ah/ezN9yRJsfEJeuB3f9AfH79ffVOuVXL3XtXGvuXRH+uvTz+ph8amyOmo0Kc7j0iSnr33dp04cqjyvP+XcZ0kVb5+liHxjBk/ZpgmiwQBAADQdPYVlurLY4XejlGrqxKjlRTdtPfloGmwzAwAAABNKtbHZz5iQnw7H2pHmQEAAECTigy2yWbxzftSbBZDkUHceeGvKDMAAABoUhbDUHJ0mHytzhiSkqPD2M3Mj1FmAAAA0OSSY8LkazdqmzqTC/6LMgMAAIAmFxFkU0JYkM/MzhiSEsKCFMESM79GmQEAAECz6NE60mdmZ0ydyQP/RpkBAABAs4gLDVLXuHBvx5AkdY0LV1xokLdjoIEoMwAAAGg23VtFKtxu9dpyM0NShN2q7q2YlWkJKDMAAABoNlaLocHtYuWtDcQMQxrULlZWH90qGnVDmQEAAECzig2xK6V9XLPPzhiSUtrHKZaHZLYYhmmavnIfFgAAAAJIbkmF1hzOk2mqyTcGsBhnikxCeHATXwnNiTIDAAAAr8kvd2rDkXyVON1Ndo0Iu1WD2sUyI9MCUWYAAADgVW6PqR2nirQrr0SGGmeW5uw4XePC1b1VJPfItFCUGQAAAPiEvDKHsk8WKbfUUe9Sc/Z9CWFB6tE6ku2XWzjKDAAAAHxKscOlnIJS5RSWyuU586NqbeXm3OM2i6Hk6DAlx4QpIsjWTGnhTZQZAAAA+CSPaarI4VJBuVP55U4VVjjldJvymKYshiG71VB0sF2xIXbFhNgVGWSTxVt7PsMrKDMAAAAA/BLPmQEAAADglygzAAAAAPwSZQYAAACAX6LMAAAAAPBLlBkAAAAAfokyAwAAAMAvUWYAAAAA+CXKDAAAAAC/RJkBAAAA4JcoMwAAAAD8EmUGAAAAgF+izAAAAADwS5QZAAAAAH6JMgMAAADAL1FmAAAAAPglygwAAAAAv0SZAQAAAOCXKDMAAAAA/BJlBgAAAIBfoswAAAAA8EuUGQAAAAB+iTIDAAAAwC9RZgAAAAD4JcoMAAAAAL9EmQEAAADglygzAAAAAPwSZQYAAACAX6LMAAAAAPBLlBkAAAAAfokyAwAAAMAvUWYAAAAA+CXKDAAAAAC/RJkBAAAA4JcoMwAAAAD8EmUGAAAAgF+izAAAAADwS5QZAAAAAH6JMgMAAADAL1FmAAAAAPglygwAAAAAv/T/AUVMGgJ8THCwAAAAAElFTkSuQmCC) --- ### 🧠 Kuidas see töötab: 1. **Igal ajahetkel** kontrollitakse, millised väljapääsud on **saavutatavad**. 2. Kui mitu väljapääsu on võimalikud, valitakse: - **Kõige kõrgema prioriteediga** (madalaim number), - Kui mitu väljapääsu on sama prioriteediga, siis **lühim tee**. 3. **Suletud teed** on tähistatud **punaste katkendjoontega**, 4. **Valitud tee** on tähistatud **rohelise joonega**. --- ### 🧩 Seos wreath product'iga: - **Kontrollikiht** määrab, millised teed on igal ajahetkel avatud (funktsioon $f_t$), - **Funktsioonikiht** sisaldab kõikvõimalikke teid, - **Lühima tee otsing** toimub graafis, mis vastab $f_t$, - **Prioriteetsed väljapääsud** lisavad **eesmärgi valiku loogika**, mis töötab koos wreath product'i struktuuriga. --- Kas soovid nüüd: - Lisada **sõidukite tüübid ja eelistused**? - Või **simuleerida mitut sõidukit korraga** erinevate eesmärkidega? Animatsioon, mis näitab **sõiduki liikumist kõrgeima prioriteediga väljapääsu suunas** dünaamilises teedevõrgus, on edukalt loodud. Igal ajahetkel: - Arvestatakse **teede sulgemisi** (kontrollikiht), - Arvutatakse **lühim tee** lähtepunktist (A) **kõige eelistatuma kättesaadava väljapääsuni** (kas Exit1 või Exit2), - **Punane tee** näitab valitud marsruuti. Kahjuks ei saanud GIF-faili otse siin kuvada, kuid see on edukalt loodud nimega **`dynamic_shortest_path.gif`**. Kui soovid, võin: - Pakkuda võimalust see fail alla laadida, - Või laiendada animatsiooni mitme sõidukiga või erinevate prioriteetidega. Kas soovid faili allalaadimist või edasiarendust?