updated to 2022

slides/cours_6.md

+---
+title: "Récursivité et complexité"
+date: "2021-11-10"
+---
+
+# La récursivité (1/2)
+
+* Code récursif
+
+    ```C
+    int factorial(int n) {
+        if (n > 1) { // Condition de récursivité
+            return n * factorial(n - 1);
+        } else {     // Condition d'arrêt
+            return 1;
+        }
+    }
+```
+
+. . .
+
+* Code impératif
+
+    ```C
+    int factorial(int n) {
+        int f = 1;
+        for (int i = 1; i < n; ++i) {
+            f *= i;
+        }
+        return f;
+    }
+    ```
+
+# Exercice: réusinage et récursivité (1/4)
+
+## Réusiner le code du PGCD avec une fonction récursive
+
+## Étudier l'exécution
+
+```C
+42 = 27 * 1 + 15
+27 = 15 * 1 + 12
+15 = 12 * 1 + 3
+12 = 3  * 4 + 0
+```
+
+# Exercice: réusinage et récursivité (2/4)
+
+## Réusiner le code du PGCD avec une fonction récursive
+
+## Étudier l'exécution
+
+```C
+42 = 27 * 1 + 15   |   PGCD(42, 27) 
+27 = 15 * 1 + 12   |   PGCD(27, 15) 
+15 = 12 * 1 +  3   |   PGCD(15, 12) 
+12 =  3 * 4 +  0   |   PGCD(12,  3) 
+```
+
+# Exercice: réusinage et récursivité (3/4)
+
+## Réusiner le code du PGCD avec une fonction récursive
+
+## Étudier l'exécution
+
+```C
+42 = 27 * 1 + 15   |   PGCD(42, 27) 
+27 = 15 * 1 + 12   |   PGCD(27, 15) 
+15 = 12 * 1 +  3   |   PGCD(15, 12) 
+12 =  3 * 4 +  0   |   PGCD(12,  3) 
+```
+
+## Effectuer l'empilage - dépilage
+
+. . .
+
+```C
+PGCD(12,  3)    |     3
+PGCD(15, 12)    |     3
+PGCD(27, 15)    |     3
+PGCD(42, 27)    |     3
+```
+
+# Exercice: réusinage et récursivité (4/4)
+
+## Écrire le code
+
+. . .
+
+```C
+int pgcd(int n, int m) {
+    if (n % m > 0) {
+        return pgcd(m, n % m);
+    } else {
+        return m;
+    }
+}
+```
+
+# La suite de Fibonacci (1/2)
+
+## Règle
+
+$$
+\mathrm{Fib}(n) = \mathrm{Fib}(n-1) + \mathrm{Fib}(n-2),\quad
+\mathrm{Fib}(0)=0,\quad \mathrm{Fib}(1)=1.
+$$
+
+## Exercice: écrire la fonction $\mathrm{Fib}$ en récursif et impératif
+
+. . .
+
+## En récursif (6 lignes)
+
+```C
+int fib(int n) {
+    if (n > 1) {
+        return fib(n - 1) + fib(n - 2);
+    } 
+    return n;
+}
+```
+
+# La suite de Fibonacci (2/2)
+
+## Et en impératif (11 lignes)
+
+```C
+int fib_imp(int n) {
+    int fib0 = 1;
+    int fib1 = 1;
+    int fib  = n == 0 ? 0 : fib1;
+    for (int i = 2; i < n; ++i) {
+        fib  = fib0 + fib1;
+        fib0 = fib1;
+        fib1 = fib;
+    }
+    return fib;
+}
+```
+
+# Exponentiation rapide ou indienne (1/4)
+
+## But: Calculer $x^n$
+
+* Algorithme naîf et impératif
+
+    ```C
+    int pow(x, n) {
+        if (0 == n) {
+            return 1;
+        }
+        for (int i = 1; i < n; ++i) {
+            x *= x;
+        }
+        return x;
+    }
+    ```
+
+. . .
+
+* Complexité? Combien de multiplication en fonction de `n`?
+
+# Exponentiation rapide ou indienne (2/4)
+
+* Algorithme naïf et récursif
+
+    ```C
+    int pow(x, n) {
+        if (n != 0) {
+            return x * pow(x, n-1);
+        } else {
+            return 1;
+        }
+    }
+    ```
+
+# Exponentiation rapide ou indienne (3/4)
+
+## Exponentiation rapide ou indienne de $x^n$
+
+* Écrivons $n=\sum_{i=0}^{d-1}b_i 2^i,\ b_i=\{0,1\}$ (écriture binaire sur $d$ bits, avec
+$d\sim\log_2(n)$).
+* 
+$$
+x^n={x^{2^0}}^{b_0}\cdot {x^{2^1}}^{b_1}\cdots {x^{2^{d-1}}}^{b_{d-1}}.
+$$
+* On a besoin de $d$ calculs pour les $x^{2^i}$.
+* On a besoin de $d$ calculs pour évaluer les produits de tous les termes.
+
+## Combien de calculs en terme de $n$?
+
+. . .
+
+* $n$ est représenté en binaire avec $d$ bits $\Rightarrow d\sim\log_2(n)$.
+* il y a $2\log_2(n)\sim \log_2(n)$ calculs.
+
+# Exponentiation rapide ou indienne (4/4)
+
+## Le vrai algorithme
+
+* Si n est pair: calculer $\left(x^{n/2}\right)^2$,
+* Si n est impair: calculer $x \cdot \left(x^{(n-1)/2}\right)^2$.
+
+## Exercice: écrire l'algorithme récursif correspondant
+
+. . .
+
+```C
+double pow(double x, int n) {
+    if (1 == n) {
+        return x;
+    } else if (n % 2 == 0) {
+        return pow(x, n / 2) * pow(x, n/2);
+    } else {
+        return x * pow(x, (n-1));
+    }
+}
+```
+
+
+# Efficacité d'un algorithmique
+
+Comment mesurer l'efficacité d'un algorithme?
+
+. . .
+
+* Mesurer le temps CPU,
+* Mesurer le temps d'accès à la mémoire,
+* Mesurer la place prise mémoire,
+
+. . .
+
+Dépendant du **matériel**, du **compilateur**, des **options de compilation**,
+etc!
+
+## Mesure du temps CPU
+
+```C
+#include <time.h>
+struct timespec tstart={0,0}, tend={0,0};
+clock_gettime(CLOCK_MONOTONIC, &tstart);
+// some computation
+clock_gettime(CLOCK_MONOTONIC, &tend);
+printf("computation about %.5f seconds\n",
+       ((double)tend.tv_sec + 1e-9*tend.tv_nsec) - 
+       ((double)tstart.tv_sec + 1e-9*tstart.tv_nsec));
+```
+
+# Programme simple: mesure du temps CPU
+
+## Preuve sur un [petit exemple](../source_codes/complexity/sum.c)
+
+```bash
+source_codes/complexity$ make bench
+RUN ONCE -O0
+the computation took about 0.00836 seconds
+RUN ONCE -O3
+the computation took about 0.00203 seconds
+RUN THOUSAND TIMES -O0
+the computation took about 0.00363 seconds
+RUN THOUSAND TIMES -O3
+the computation took about 0.00046 seconds
+```
+
+Et sur votre machine les résultats seront **différents**.
+
+. . .
+
+## Conclusion
+
+* Nécessité d'avoir une mesure indépendante du/de la
+  matériel/compilateur/façon de mesurer/météo.
+
+# Analyse de complexité algorithmique (1/4)
+
+* On analyse le **temps** pris par un algorithme en fonction de la **taille de
+  l'entrée**.
+
+## Exemple: recherche d'un élément dans une liste triée de taille N
+
+```C
+int sorted_list[N];
+bool in_list = is_present(N, sorted_list, elem);
+```
+
+* Plus `N` est grand, plus l'algorithme prend de temps sauf si...
+
+. . .
+
+* l'élément est le premier de la liste (ou à une position toujours la même).
+* ce genre de cas pathologique ne rentre pas en ligne de compte.
+
+# Analyse de complexité algorithmique (2/4)
+
+## Recherche linéaire
+
+```C
+bool is_present(int n, int tab[], int elem) {
+    for (int i = 0; i < n; ++i) {
+        if (tab[i] == elem) {
+            return true;
+        } else if (elem < tab[i]) {
+            return false;
+        }
+    }
+    return false;
+}
+```
+
+* Dans le **meilleurs des cas** il faut `1` comparaison.
+* Dans le **pire des cas** (élément absent p.ex.) il faut `n`
+  comparaisons.
+
+. . .
+
+La **complexité algorithmique** est proportionnelle à `N`: on double la taille
+du tableau $\Rightarrow$ on double le temps pris par l'algorithme.
+
+# Analyse de complexité algorithmique (3/4)
+
+## Recherche dichotomique
+
+```C
+bool is_present_binary_search(int n, int tab[], int elem) {
+    int left  = 0;
+    int right = n - 1;
+    while (left <= right) {
+        int mid = (right + left) / 2;
+        if (tab[mid] < elem) {
+            left = mid + 1;
+        } else if (tab[mid] > elem) {
+            right = mid - 1;
+        } else {
+            return true;
+        }
+    }
+    return false;
+}
+```
+
+# Analyse de complexité algorithmique (4/4)
+
+## Recherche dichotomique
+
+![Source:
+[Wikipédia](https://upload.wikimedia.org/wikipedia/commons/a/aa/Binary_search_complexity.svg)](figs/Binary_search_complexity.svg){width=80%}
+
+. . .
+
+* Dans le **meilleurs de cas** il faut `1` comparaison.
+* Dans le **pire des cas** il faut $\log_2(N)+1$ comparaisons
+
+. . .
+
+## Linéaire vs dichotomique
+
+* $N$ vs $\log_2(N)$ comparaisons logiques.
+* Pour $N=1000000$: `1000000` vs `21` comparaisons.
+
+# Notation pour la complexité
+
+## Constante de proportionnalité
+
+* Pour la recherche linéaire ou dichotomique, on a des algorithmes qui sont
+  $\sim N$ ou $\sim \log_2(N)$
+* Qu'est-ce que cela veut dire?
+
+. . .
+
+* Temps de calcul est $t=C\cdot N$ (où $C$ est le temps pris pour une
+  comparaisons sur une machine/compilateur donné)
+* La complexité ne dépend pas de $C$.
+
+## Le $\mathcal{O}$ de Leibnitz
+
+* Pour noter la complexité d'un algorithme on utilise le symbole
+$\mathcal{O}$ (ou "grand Ô de").
+* Les complexités les plus couramment rencontrées sont
+
+. . .
+
+$$
+\mathcal{O}(1),\quad \mathcal{O}(\log(N)),\quad \mathcal{O}(N),\quad
+\mathcal{O}(\log(N)\cdot N), \quad \mathcal{O}(N^2), \quad
+\mathcal{O}(N^3).
+$$
+
+# Ordres de grandeur
+
+\begin{table}[!h]  
+\begin{center} 
+\caption{Valeurs approximatives de quelques fonctions usuelles de complexité.} 
+\medskip 
+\begin{tabular}{|c|c|c|c|c|} 
+\hline 
+$\log_2(N)$ & $\sqrt{N}$      & $N$    & $N\log_2(N)$    & $N^2$     \\ 
+\hline\hline 
+$3$         & $3$             & $10$   & $30$            & $10^2$    \\ 
+\hline 
+$6$         & $10$            & $10^2$ & $6\cdot 10^2$   & $10^4$    \\ 
+\hline 
+$9$         & $31$            & $10^3$ & $9\cdot 10^3$   & $10^6$    \\ 
+\hline 
+$13$        & $10^2$          & $10^4$ & $1.3\cdot 10^5$ & $10^8$    \\ 
+\hline 
+$16$        & $3.1\cdot 10^2$ & $10^5$ & $1.6\cdot 10^6$ & $10^{10}$ \\ 
+\hline 
+$19$        & $10^3$          & $10^6$ & $1.9\cdot 10^7$ & $10^{12}$ \\ 
+\hline 
+\end{tabular} 
+\end{center} 
+\end{table} 
+
+
+# Quelques exercices (1/3)
+
+## Complexité de l'algorithme de test de primalité naïf?
+
+```C
+for (i = 2; i < sqrt(N); ++i) {
+    if (N % i == 0) {
+        return false;
+    }
+}
+return true;
+```
+
+. . .
+
+## Réponse 
+
+$$
+\mathcal{O}(\sqrt{N}).
+$$
+
+# Quelques exercices (2/3)
+
+## Complexité de trouver le minimum d'un tableau?
+
+```C
+min = MAX;
+for (i = 0; i < N; ++i) {
+    if (tab[i] < min) {
+        min = tab[i];
+    }
+}
+return min;
+```
+
+. . .
+
+## Réponse 
+
+$$
+\mathcal{O}(N).
+$$
+
+# Quelques exercices (3/3)
+
+## Complexité du tri par sélection?
+
+```C
+ind = 0
+while (ind < SIZE-1) {
+    min = find_min(tab[ind:SIZE]);
+    swap(min, tab[ind]);
+    ind += 1
+}
+```
+
+. . .
+
+## Réponse
+
+### `min = find_min`
+
+$$
+(N-1)+(N-2)+...+2+1=\sum_{i=1}^{N-1}i=N\cdot(N-1)/2=\mathcal{O}(N^2).
+$$
+
+## Finalement
+
+$$
+\mathcal{O}(N^2\mbox{ comparaisons}) + \mathcal{O}(N\mbox{
+swaps})=\mathcal{O}(N^2).
+$$
+
+

slides/figs/Binary_search_complexity.svg

+<?xml version="1.0" encoding="UTF-8"?>
+<svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" width="401.301pt" height="167.04pt" viewBox="0 0 401.301 167.04" version="1.1">
+<defs>
+<g>
+<symbol overflow="visible" id="glyph0-0">
+<path style="stroke:none;" d=""/>
+</symbol>
+<symbol overflow="visible" id="glyph0-1">
+<path style="stroke:none;" d="M 1.625 -4.5625 C 1.171875 -4.859375 1.125 -5.1875 1.125 -5.359375 C 1.125 -5.96875 1.78125 -6.390625 2.484375 -6.390625 C 3.203125 -6.390625 3.84375 -5.875 3.84375 -5.15625 C 3.84375 -4.578125 3.453125 -4.109375 2.859375 -3.765625 Z M 3.078125 -3.609375 C 3.796875 -3.984375 4.28125 -4.5 4.28125 -5.15625 C 4.28125 -6.078125 3.40625 -6.640625 2.5 -6.640625 C 1.5 -6.640625 0.6875 -5.90625 0.6875 -4.96875 C 0.6875 -4.796875 0.703125 -4.34375 1.125 -3.875 C 1.234375 -3.765625 1.609375 -3.515625 1.859375 -3.34375 C 1.28125 -3.046875 0.421875 -2.5 0.421875 -1.5 C 0.421875 -0.453125 1.4375 0.21875 2.484375 0.21875 C 3.609375 0.21875 4.5625 -0.609375 4.5625 -1.671875 C 4.5625 -2.03125 4.453125 -2.484375 4.0625 -2.90625 C 3.875 -3.109375 3.71875 -3.203125 3.078125 -3.609375 Z M 2.078125 -3.1875 L 3.3125 -2.40625 C 3.59375 -2.21875 4.0625 -1.921875 4.0625 -1.3125 C 4.0625 -0.578125 3.3125 -0.0625 2.5 -0.0625 C 1.640625 -0.0625 0.921875 -0.671875 0.921875 -1.5 C 0.921875 -2.078125 1.234375 -2.71875 2.078125 -3.1875 Z M 2.078125 -3.1875 "/>
+</symbol>
+<symbol overflow="visible" id="glyph0-2">
+<path style="stroke:none;" d="M 2.9375 -1.640625 L 2.9375 -0.78125 C 2.9375 -0.421875 2.90625 -0.3125 2.171875 -0.3125 L 1.96875 -0.3125 L 1.96875 0 C 2.375 -0.03125 2.890625 -0.03125 3.3125 -0.03125 C 3.734375 -0.03125 4.25 -0.03125 4.671875 0 L 4.671875 -0.3125 L 4.453125 -0.3125 C 3.71875 -0.3125 3.703125 -0.421875 3.703125 -0.78125 L 3.703125 -1.640625 L 4.6875 -1.640625 L 4.6875 -1.953125 L 3.703125 -1.953125 L 3.703125 -6.484375 C 3.703125 -6.6875 3.703125 -6.75 3.53125 -6.75 C 3.453125 -6.75 3.421875 -6.75 3.34375 -6.625 L 0.28125 -1.953125 L 0.28125 -1.640625 Z M 2.984375 -1.953125 L 0.5625 -1.953125 L 2.984375 -5.671875 Z M 2.984375 -1.953125 "/>
+</symbol>
+<symbol overflow="visible" id="glyph0-3">
+<path style="stroke:none;" d="M 1.265625 -0.765625 L 2.328125 -1.796875 C 3.875 -3.171875 4.46875 -3.703125 4.46875 -4.703125 C 4.46875 -5.84375 3.578125 -6.640625 2.359375 -6.640625 C 1.234375 -6.640625 0.5 -5.71875 0.5 -4.828125 C 0.5 -4.28125 1 -4.28125 1.03125 -4.28125 C 1.203125 -4.28125 1.546875 -4.390625 1.546875 -4.8125 C 1.546875 -5.0625 1.359375 -5.328125 1.015625 -5.328125 C 0.9375 -5.328125 0.921875 -5.328125 0.890625 -5.3125 C 1.109375 -5.96875 1.65625 -6.328125 2.234375 -6.328125 C 3.140625 -6.328125 3.5625 -5.515625 3.5625 -4.703125 C 3.5625 -3.90625 3.078125 -3.125 2.515625 -2.5 L 0.609375 -0.375 C 0.5 -0.265625 0.5 -0.234375 0.5 0 L 4.203125 0 L 4.46875 -1.734375 L 4.234375 -1.734375 C 4.171875 -1.4375 4.109375 -1 4 -0.84375 C 3.9375 -0.765625 3.28125 -0.765625 3.0625 -0.765625 Z M 1.265625 -0.765625 "/>
+</symbol>
+<symbol overflow="visible" id="glyph0-4">
+<path style="stroke:none;" d="M 2.9375 -6.375 C 2.9375 -6.625 2.9375 -6.640625 2.703125 -6.640625 C 2.078125 -6 1.203125 -6 0.890625 -6 L 0.890625 -5.6875 C 1.09375 -5.6875 1.671875 -5.6875 2.1875 -5.953125 L 2.1875 -0.78125 C 2.1875 -0.421875 2.15625 -0.3125 1.265625 -0.3125 L 0.953125 -0.3125 L 0.953125 0 C 1.296875 -0.03125 2.15625 -0.03125 2.5625 -0.03125 C 2.953125 -0.03125 3.828125 -0.03125 4.171875 0 L 4.171875 -0.3125 L 3.859375 -0.3125 C 2.953125 -0.3125 2.9375 -0.421875 2.9375 -0.78125 Z M 2.9375 -6.375 "/>
+</symbol>
+<symbol overflow="visible" id="glyph0-5">
+<path style="stroke:none;" d="M 2.890625 -3.515625 C 3.703125 -3.78125 4.28125 -4.46875 4.28125 -5.265625 C 4.28125 -6.078125 3.40625 -6.640625 2.453125 -6.640625 C 1.453125 -6.640625 0.6875 -6.046875 0.6875 -5.28125 C 0.6875 -4.953125 0.90625 -4.765625 1.203125 -4.765625 C 1.5 -4.765625 1.703125 -4.984375 1.703125 -5.28125 C 1.703125 -5.765625 1.234375 -5.765625 1.09375 -5.765625 C 1.390625 -6.265625 2.046875 -6.390625 2.40625 -6.390625 C 2.828125 -6.390625 3.375 -6.171875 3.375 -5.28125 C 3.375 -5.15625 3.34375 -4.578125 3.09375 -4.140625 C 2.796875 -3.65625 2.453125 -3.625 2.203125 -3.625 C 2.125 -3.609375 1.890625 -3.59375 1.8125 -3.59375 C 1.734375 -3.578125 1.671875 -3.5625 1.671875 -3.46875 C 1.671875 -3.359375 1.734375 -3.359375 1.90625 -3.359375 L 2.34375 -3.359375 C 3.15625 -3.359375 3.53125 -2.6875 3.53125 -1.703125 C 3.53125 -0.34375 2.84375 -0.0625 2.40625 -0.0625 C 1.96875 -0.0625 1.21875 -0.234375 0.875 -0.8125 C 1.21875 -0.765625 1.53125 -0.984375 1.53125 -1.359375 C 1.53125 -1.71875 1.265625 -1.921875 0.984375 -1.921875 C 0.734375 -1.921875 0.421875 -1.78125 0.421875 -1.34375 C 0.421875 -0.4375 1.34375 0.21875 2.4375 0.21875 C 3.65625 0.21875 4.5625 -0.6875 4.5625 -1.703125 C 4.5625 -2.515625 3.921875 -3.296875 2.890625 -3.515625 Z M 2.890625 -3.515625 "/>
+</symbol>
+<symbol overflow="visible" id="glyph0-6">
+<path style="stroke:none;" d="M 1.3125 -3.265625 L 1.3125 -3.515625 C 1.3125 -6.03125 2.546875 -6.390625 3.0625 -6.390625 C 3.296875 -6.390625 3.71875 -6.328125 3.9375 -5.984375 C 3.78125 -5.984375 3.390625 -5.984375 3.390625 -5.546875 C 3.390625 -5.234375 3.625 -5.078125 3.84375 -5.078125 C 4 -5.078125 4.3125 -5.171875 4.3125 -5.5625 C 4.3125 -6.15625 3.875 -6.640625 3.046875 -6.640625 C 1.765625 -6.640625 0.421875 -5.359375 0.421875 -3.15625 C 0.421875 -0.484375 1.578125 0.21875 2.5 0.21875 C 3.609375 0.21875 4.5625 -0.71875 4.5625 -2.03125 C 4.5625 -3.296875 3.671875 -4.25 2.5625 -4.25 C 1.890625 -4.25 1.515625 -3.75 1.3125 -3.265625 Z M 2.5 -0.0625 C 1.875 -0.0625 1.578125 -0.65625 1.515625 -0.8125 C 1.328125 -1.28125 1.328125 -2.078125 1.328125 -2.25 C 1.328125 -3.03125 1.65625 -4.03125 2.546875 -4.03125 C 2.71875 -4.03125 3.171875 -4.03125 3.484375 -3.40625 C 3.65625 -3.046875 3.65625 -2.53125 3.65625 -2.046875 C 3.65625 -1.5625 3.65625 -1.0625 3.484375 -0.703125 C 3.1875 -0.109375 2.734375 -0.0625 2.5 -0.0625 Z M 2.5 -0.0625 "/>
+</symbol>
+<symbol overflow="visible" id="glyph0-7">
+<path style="stroke:none;" d="M 4.46875 -2 C 4.46875 -3.1875 3.65625 -4.1875 2.578125 -4.1875 C 2.109375 -4.1875 1.671875 -4.03125 1.3125 -3.671875 L 1.3125 -5.625 C 1.515625 -5.5625 1.84375 -5.5 2.15625 -5.5 C 3.390625 -5.5 4.09375 -6.40625 4.09375 -6.53125 C 4.09375 -6.59375 4.0625 -6.640625 3.984375 -6.640625 C 3.984375 -6.640625 3.953125 -6.640625 3.90625 -6.609375 C 3.703125 -6.515625 3.21875 -6.3125 2.546875 -6.3125 C 2.15625 -6.3125 1.6875 -6.390625 1.21875 -6.59375 C 1.140625 -6.625 1.125 -6.625 1.109375 -6.625 C 1 -6.625 1 -6.546875 1 -6.390625 L 1 -3.4375 C 1 -3.265625 1 -3.1875 1.140625 -3.1875 C 1.21875 -3.1875 1.234375 -3.203125 1.28125 -3.265625 C 1.390625 -3.421875 1.75 -3.96875 2.5625 -3.96875 C 3.078125 -3.96875 3.328125 -3.515625 3.40625 -3.328125 C 3.5625 -2.953125 3.59375 -2.578125 3.59375 -2.078125 C 3.59375 -1.71875 3.59375 -1.125 3.34375 -0.703125 C 3.109375 -0.3125 2.734375 -0.0625 2.28125 -0.0625 C 1.5625 -0.0625 0.984375 -0.59375 0.8125 -1.171875 C 0.84375 -1.171875 0.875 -1.15625 0.984375 -1.15625 C 1.3125 -1.15625 1.484375 -1.40625 1.484375 -1.640625 C 1.484375 -1.890625 1.3125 -2.140625 0.984375 -2.140625 C 0.84375 -2.140625 0.5 -2.0625 0.5 -1.609375 C 0.5 -0.75 1.1875 0.21875 2.296875 0.21875 C 3.453125 0.21875 4.46875 -0.734375 4.46875 -2 Z M 4.46875 -2 "/>
+</symbol>
+<symbol overflow="visible" id="glyph0-8">
+<path style="stroke:none;" d="M 4.75 -6.078125 C 4.828125 -6.1875 4.828125 -6.203125 4.828125 -6.421875 L 2.40625 -6.421875 C 1.203125 -6.421875 1.171875 -6.546875 1.140625 -6.734375 L 0.890625 -6.734375 L 0.5625 -4.6875 L 0.8125 -4.6875 C 0.84375 -4.84375 0.921875 -5.46875 1.0625 -5.59375 C 1.125 -5.65625 1.90625 -5.65625 2.03125 -5.65625 L 4.09375 -5.65625 C 3.984375 -5.5 3.203125 -4.40625 2.984375 -4.078125 C 2.078125 -2.734375 1.75 -1.34375 1.75 -0.328125 C 1.75 -0.234375 1.75 0.21875 2.21875 0.21875 C 2.671875 0.21875 2.671875 -0.234375 2.671875 -0.328125 L 2.671875 -0.84375 C 2.671875 -1.390625 2.703125 -1.9375 2.78125 -2.46875 C 2.828125 -2.703125 2.953125 -3.5625 3.40625 -4.171875 Z M 4.75 -6.078125 "/>
+</symbol>
+<symbol overflow="visible" id="glyph0-9">
+<path style="stroke:none;" d="M 4.578125 -3.1875 C 4.578125 -3.984375 4.53125 -4.78125 4.1875 -5.515625 C 3.734375 -6.484375 2.90625 -6.640625 2.5 -6.640625 C 1.890625 -6.640625 1.171875 -6.375 0.75 -5.453125 C 0.4375 -4.765625 0.390625 -3.984375 0.390625 -3.1875 C 0.390625 -2.4375 0.421875 -1.546875 0.84375 -0.78125 C 1.265625 0.015625 2 0.21875 2.484375 0.21875 C 3.015625 0.21875 3.78125 0.015625 4.21875 -0.9375 C 4.53125 -1.625 4.578125 -2.40625 4.578125 -3.1875 Z M 2.484375 0 C 2.09375 0 1.5 -0.25 1.328125 -1.203125 C 1.21875 -1.796875 1.21875 -2.71875 1.21875 -3.3125 C 1.21875 -3.953125 1.21875 -4.609375 1.296875 -5.140625 C 1.484375 -6.328125 2.234375 -6.421875 2.484375 -6.421875 C 2.8125 -6.421875 3.46875 -6.234375 3.65625 -5.25 C 3.765625 -4.6875 3.765625 -3.9375 3.765625 -3.3125 C 3.765625 -2.5625 3.765625 -1.890625 3.65625 -1.25 C 3.5 -0.296875 2.9375 0 2.484375 0 Z M 2.484375 0 "/>
+</symbol>
+<symbol overflow="visible" id="glyph0-10">
+<path style="stroke:none;" d="M 3.65625 -3.171875 L 3.65625 -2.84375 C 3.65625 -0.515625 2.625 -0.0625 2.046875 -0.0625 C 1.875 -0.0625 1.328125 -0.078125 1.0625 -0.421875 C 1.5 -0.421875 1.578125 -0.703125 1.578125 -0.875 C 1.578125 -1.1875 1.34375 -1.328125 1.125 -1.328125 C 0.96875 -1.328125 0.671875 -1.25 0.671875 -0.859375 C 0.671875 -0.1875 1.203125 0.21875 2.046875 0.21875 C 3.34375 0.21875 4.5625 -1.140625 4.5625 -3.28125 C 4.5625 -5.96875 3.40625 -6.640625 2.515625 -6.640625 C 1.96875 -6.640625 1.484375 -6.453125 1.0625 -6.015625 C 0.640625 -5.5625 0.421875 -5.140625 0.421875 -4.390625 C 0.421875 -3.15625 1.296875 -2.171875 2.40625 -2.171875 C 3.015625 -2.171875 3.421875 -2.59375 3.65625 -3.171875 Z M 2.421875 -2.40625 C 2.265625 -2.40625 1.796875 -2.40625 1.5 -3.03125 C 1.3125 -3.40625 1.3125 -3.890625 1.3125 -4.390625 C 1.3125 -4.921875 1.3125 -5.390625 1.53125 -5.765625 C 1.796875 -6.265625 2.171875 -6.390625 2.515625 -6.390625 C 2.984375 -6.390625 3.3125 -6.046875 3.484375 -5.609375 C 3.59375 -5.28125 3.640625 -4.65625 3.640625 -4.203125 C 3.640625 -3.375 3.296875 -2.40625 2.421875 -2.40625 Z M 2.421875 -2.40625 "/>
+</symbol>
+<symbol overflow="visible" id="glyph0-11">
+<path style="stroke:none;" d="M 2.21875 -3.65625 L 2.21875 -6.09375 C 2.21875 -6.4375 2.234375 -6.5 2.703125 -6.5 L 3.9375 -6.5 C 4.90625 -6.5 5.25 -5.65625 5.25 -5.125 C 5.25 -4.484375 4.765625 -3.65625 3.65625 -3.65625 Z M 4.5625 -3.5625 C 5.53125 -3.75 6.21875 -4.390625 6.21875 -5.125 C 6.21875 -5.984375 5.296875 -6.8125 4 -6.8125 L 0.359375 -6.8125 L 0.359375 -6.5 L 0.59375 -6.5 C 1.359375 -6.5 1.390625 -6.390625 1.390625 -6.03125 L 1.390625 -0.78125 C 1.390625 -0.421875 1.359375 -0.3125 0.59375 -0.3125 L 0.359375 -0.3125 L 0.359375 0 L 4.265625 0 C 5.59375 0 6.484375 -0.890625 6.484375 -1.828125 C 6.484375 -2.6875 5.671875 -3.4375 4.5625 -3.5625 Z M 3.953125 -0.3125 L 2.703125 -0.3125 C 2.234375 -0.3125 2.21875 -0.375 2.21875 -0.703125 L 2.21875 -3.421875 L 4.09375 -3.421875 C 5.078125 -3.421875 5.5 -2.5 5.5 -1.828125 C 5.5 -1.125 4.96875 -0.3125 3.953125 -0.3125 Z M 3.953125 -0.3125 "/>
+</symbol>
+<symbol overflow="visible" id="glyph0-12">
+<path style="stroke:none;" d="M 1.109375 -2.515625 C 1.171875 -4 2.015625 -4.25 2.359375 -4.25 C 3.375 -4.25 3.484375 -2.90625 3.484375 -2.515625 Z M 1.109375 -2.296875 L 3.890625 -2.296875 C 4.109375 -2.296875 4.140625 -2.296875 4.140625 -2.515625 C 4.140625 -3.5 3.59375 -4.46875 2.359375 -4.46875 C 1.203125 -4.46875 0.28125 -3.4375 0.28125 -2.1875 C 0.28125 -0.859375 1.328125 0.109375 2.46875 0.109375 C 3.6875 0.109375 4.140625 -1 4.140625 -1.1875 C 4.140625 -1.28125 4.0625 -1.3125 4 -1.3125 C 3.921875 -1.3125 3.890625 -1.25 3.875 -1.171875 C 3.53125 -0.140625 2.625 -0.140625 2.53125 -0.140625 C 2.03125 -0.140625 1.640625 -0.4375 1.40625 -0.8125 C 1.109375 -1.28125 1.109375 -1.9375 1.109375 -2.296875 Z M 1.109375 -2.296875 "/>
+</symbol>
+<symbol overflow="visible" id="glyph0-13">
+<path style="stroke:none;" d="M 2.078125 -1.9375 C 2.296875 -1.890625 3.109375 -1.734375 3.109375 -1.015625 C 3.109375 -0.515625 2.765625 -0.109375 1.984375 -0.109375 C 1.140625 -0.109375 0.78125 -0.671875 0.59375 -1.53125 C 0.5625 -1.65625 0.5625 -1.6875 0.453125 -1.6875 C 0.328125 -1.6875 0.328125 -1.625 0.328125 -1.453125 L 0.328125 -0.125 C 0.328125 0.046875 0.328125 0.109375 0.4375 0.109375 C 0.484375 0.109375 0.5 0.09375 0.6875 -0.09375 C 0.703125 -0.109375 0.703125 -0.125 0.890625 -0.3125 C 1.328125 0.09375 1.78125 0.109375 1.984375 0.109375 C 3.125 0.109375 3.59375 -0.5625 3.59375 -1.28125 C 3.59375 -1.796875 3.296875 -2.109375 3.171875 -2.21875 C 2.84375 -2.546875 2.453125 -2.625 2.03125 -2.703125 C 1.46875 -2.8125 0.8125 -2.9375 0.8125 -3.515625 C 0.8125 -3.875 1.0625 -4.28125 1.921875 -4.28125 C 3.015625 -4.28125 3.078125 -3.375 3.09375 -3.078125 C 3.09375 -2.984375 3.1875 -2.984375 3.203125 -2.984375 C 3.34375 -2.984375 3.34375 -3.03125 3.34375 -3.21875 L 3.34375 -4.234375 C 3.34375 -4.390625 3.34375 -4.46875 3.234375 -4.46875 C 3.1875 -4.46875 3.15625 -4.46875 3.03125 -4.34375 C 3 -4.3125 2.90625 -4.21875 2.859375 -4.1875 C 2.484375 -4.46875 2.078125 -4.46875 1.921875 -4.46875 C 0.703125 -4.46875 0.328125 -3.796875 0.328125 -3.234375 C 0.328125 -2.890625 0.484375 -2.609375 0.75 -2.390625 C 1.078125 -2.140625 1.359375 -2.078125 2.078125 -1.9375 Z M 2.078125 -1.9375 "/>
+</symbol>
+<symbol overflow="visible" id="glyph0-14">
+<path style="stroke:none;" d="M 1.71875 -3.984375 L 3.15625 -3.984375 L 3.15625 -4.296875 L 1.71875 -4.296875 L 1.71875 -6.125 L 1.46875 -6.125 C 1.46875 -5.3125 1.171875 -4.25 0.1875 -4.203125 L 0.1875 -3.984375 L 1.03125 -3.984375 L 1.03125 -1.234375 C 1.03125 -0.015625 1.96875 0.109375 2.328125 0.109375 C 3.03125 0.109375 3.3125 -0.59375 3.3125 -1.234375 L 3.3125 -1.796875 L 3.0625 -1.796875 L 3.0625 -1.25 C 3.0625 -0.515625 2.765625 -0.140625 2.390625 -0.140625 C 1.71875 -0.140625 1.71875 -1.046875 1.71875 -1.21875 Z M 1.71875 -3.984375 "/>
+</symbol>
+<symbol overflow="visible" id="glyph0-15">
+<path style="stroke:none;" d="M 1.171875 -2.171875 C 1.171875 -3.796875 1.984375 -4.21875 2.515625 -4.21875 C 2.609375 -4.21875 3.234375 -4.203125 3.578125 -3.84375 C 3.171875 -3.8125 3.109375 -3.515625 3.109375 -3.390625 C 3.109375 -3.125 3.296875 -2.9375 3.5625 -2.9375 C 3.828125 -2.9375 4.03125 -3.09375 4.03125 -3.40625 C 4.03125 -4.078125 3.265625 -4.46875 2.5 -4.46875 C 1.25 -4.46875 0.34375 -3.390625 0.34375 -2.15625 C 0.34375 -0.875 1.328125 0.109375 2.484375 0.109375 C 3.8125 0.109375 4.140625 -1.09375 4.140625 -1.1875 C 4.140625 -1.28125 4.03125 -1.28125 4 -1.28125 C 3.921875 -1.28125 3.890625 -1.25 3.875 -1.1875 C 3.59375 -0.265625 2.9375 -0.140625 2.578125 -0.140625 C 2.046875 -0.140625 1.171875 -0.5625 1.171875 -2.171875 Z M 1.171875 -2.171875 "/>
+</symbol>
+<symbol overflow="visible" id="glyph0-16">
+<path style="stroke:none;" d="M 3.3125 -0.75 C 3.359375 -0.359375 3.625 0.0625 4.09375 0.0625 C 4.3125 0.0625 4.921875 -0.078125 4.921875 -0.890625 L 4.921875 -1.453125 L 4.671875 -1.453125 L 4.671875 -0.890625 C 4.671875 -0.3125 4.421875 -0.25 4.3125 -0.25 C 3.984375 -0.25 3.9375 -0.703125 3.9375 -0.75 L 3.9375 -2.734375 C 3.9375 -3.15625 3.9375 -3.546875 3.578125 -3.921875 C 3.1875 -4.3125 2.6875 -4.46875 2.21875 -4.46875 C 1.390625 -4.46875 0.703125 -4 0.703125 -3.34375 C 0.703125 -3.046875 0.90625 -2.875 1.171875 -2.875 C 1.453125 -2.875 1.625 -3.078125 1.625 -3.328125 C 1.625 -3.453125 1.578125 -3.78125 1.109375 -3.78125 C 1.390625 -4.140625 1.875 -4.25 2.1875 -4.25 C 2.6875 -4.25 3.25 -3.859375 3.25 -2.96875 L 3.25 -2.609375 C 2.734375 -2.578125 2.046875 -2.546875 1.421875 -2.25 C 0.671875 -1.90625 0.421875 -1.390625 0.421875 -0.953125 C 0.421875 -0.140625 1.390625 0.109375 2.015625 0.109375 C 2.671875 0.109375 3.125 -0.296875 3.3125 -0.75 Z M 3.25 -2.390625 L 3.25 -1.390625 C 3.25 -0.453125 2.53125 -0.109375 2.078125 -0.109375 C 1.59375 -0.109375 1.1875 -0.453125 1.1875 -0.953125 C 1.1875 -1.5 1.609375 -2.328125 3.25 -2.390625 Z M 3.25 -2.390625 "/>
+</symbol>
+<symbol overflow="visible" id="glyph0-17">
+<path style="stroke:none;" d="M 3.296875 2.390625 C 3.296875 2.359375 3.296875 2.34375 3.125 2.171875 C 1.890625 0.921875 1.5625 -0.96875 1.5625 -2.5 C 1.5625 -4.234375 1.9375 -5.96875 3.171875 -7.203125 C 3.296875 -7.328125 3.296875 -7.34375 3.296875 -7.375 C 3.296875 -7.453125 3.265625 -7.484375 3.203125 -7.484375 C 3.09375 -7.484375 2.203125 -6.796875 1.609375 -5.53125 C 1.109375 -4.4375 0.984375 -3.328125 0.984375 -2.5 C 0.984375 -1.71875 1.09375 -0.515625 1.640625 0.625 C 2.25 1.84375 3.09375 2.5 3.203125 2.5 C 3.265625 2.5 3.296875 2.46875 3.296875 2.390625 Z M 3.296875 2.390625 "/>
+</symbol>
+<symbol overflow="visible" id="glyph0-18">
+<path style="stroke:none;" d="M 4.6875 -2.140625 C 4.6875 -3.40625 3.703125 -4.46875 2.5 -4.46875 C 1.25 -4.46875 0.28125 -3.375 0.28125 -2.140625 C 0.28125 -0.84375 1.3125 0.109375 2.484375 0.109375 C 3.6875 0.109375 4.6875 -0.875 4.6875 -2.140625 Z M 2.5 -0.140625 C 2.0625 -0.140625 1.625 -0.34375 1.359375 -0.8125 C 1.109375 -1.25 1.109375 -1.859375 1.109375 -2.21875 C 1.109375 -2.609375 1.109375 -3.140625 1.34375 -3.578125 C 1.609375 -4.03125 2.078125 -4.25 2.484375 -4.25 C 2.921875 -4.25 3.34375 -4.03125 3.609375 -3.59375 C 3.875 -3.171875 3.875 -2.59375 3.875 -2.21875 C 3.875 -1.859375 3.875 -1.3125 3.65625 -0.875 C 3.421875 -0.421875 2.984375 -0.140625 2.5 -0.140625 Z M 2.5 -0.140625 "/>
+</symbol>
+<symbol overflow="visible" id="glyph0-19">
+<path style="stroke:none;" d="M 1.09375 -3.421875 L 1.09375 -0.75 C 1.09375 -0.3125 0.984375 -0.3125 0.3125 -0.3125 L 0.3125 0 C 0.671875 -0.015625 1.171875 -0.03125 1.453125 -0.03125 C 1.703125 -0.03125 2.21875 -0.015625 2.5625 0 L 2.5625 -0.3125 C 1.890625 -0.3125 1.78125 -0.3125 1.78125 -0.75 L 1.78125 -2.59375 C 1.78125 -3.625 2.5 -4.1875 3.125 -4.1875 C 3.765625 -4.1875 3.875 -3.65625 3.875 -3.078125 L 3.875 -0.75 C 3.875 -0.3125 3.765625 -0.3125 3.09375 -0.3125 L 3.09375 0 C 3.4375 -0.015625 3.953125 -0.03125 4.21875 -0.03125 C 4.46875 -0.03125 5 -0.015625 5.328125 0 L 5.328125 -0.3125 C 4.671875 -0.3125 4.5625 -0.3125 4.5625 -0.75 L 4.5625 -2.59375 C 4.5625 -3.625 5.265625 -4.1875 5.90625 -4.1875 C 6.53125 -4.1875 6.640625 -3.65625 6.640625 -3.078125 L 6.640625 -0.75 C 6.640625 -0.3125 6.53125 -0.3125 5.859375 -0.3125 L 5.859375 0 C 6.203125 -0.015625 6.71875 -0.03125 6.984375 -0.03125 C 7.25 -0.03125 7.765625 -0.015625 8.109375 0 L 8.109375 -0.3125 C 7.59375 -0.3125 7.34375 -0.3125 7.328125 -0.609375 L 7.328125 -2.515625 C 7.328125 -3.375 7.328125 -3.671875 7.015625 -4.03125 C 6.875 -4.203125 6.546875 -4.40625 5.96875 -4.40625 C 5.140625 -4.40625 4.6875 -3.8125 4.53125 -3.421875 C 4.390625 -4.296875 3.65625 -4.40625 3.203125 -4.40625 C 2.46875 -4.40625 2 -3.984375 1.71875 -3.359375 L 1.71875 -4.40625 L 0.3125 -4.296875 L 0.3125 -3.984375 C 1.015625 -3.984375 1.09375 -3.921875 1.09375 -3.421875 Z M 1.09375 -3.421875 "/>
+</symbol>
+<symbol overflow="visible" id="glyph0-20">
+<path style="stroke:none;" d="M 1.71875 -3.75 L 1.71875 -4.40625 L 0.28125 -4.296875 L 0.28125 -3.984375 C 0.984375 -3.984375 1.0625 -3.921875 1.0625 -3.484375 L 1.0625 1.171875 C 1.0625 1.625 0.953125 1.625 0.28125 1.625 L 0.28125 1.9375 C 0.625 1.921875 1.140625 1.90625 1.390625 1.90625 C 1.671875 1.90625 2.171875 1.921875 2.515625 1.9375 L 2.515625 1.625 C 1.859375 1.625 1.75 1.625 1.75 1.171875 L 1.75 -0.59375 C 1.796875 -0.421875 2.21875 0.109375 2.96875 0.109375 C 4.15625 0.109375 5.1875 -0.875 5.1875 -2.15625 C 5.1875 -3.421875 4.234375 -4.40625 3.109375 -4.40625 C 2.328125 -4.40625 1.90625 -3.96875 1.71875 -3.75 Z M 1.75 -1.140625 L 1.75 -3.359375 C 2.03125 -3.875 2.515625 -4.15625 3.03125 -4.15625 C 3.765625 -4.15625 4.359375 -3.28125 4.359375 -2.15625 C 4.359375 -0.953125 3.671875 -0.109375 2.9375 -0.109375 C 2.53125 -0.109375 2.15625 -0.3125 1.890625 -0.71875 C 1.75 -0.921875 1.75 -0.9375 1.75 -1.140625 Z M 1.75 -1.140625 "/>
+</symbol>
+<symbol overflow="visible" id="glyph0-21">
+<path style="stroke:none;" d="M 1.671875 -3.3125 L 1.671875 -4.40625 L 0.28125 -4.296875 L 0.28125 -3.984375 C 0.984375 -3.984375 1.0625 -3.921875 1.0625 -3.421875 L 1.0625 -0.75 C 1.0625 -0.3125 0.953125 -0.3125 0.28125 -0.3125 L 0.28125 0 C 0.671875 -0.015625 1.140625 -0.03125 1.421875 -0.03125 C 1.8125 -0.03125 2.28125 -0.03125 2.6875 0 L 2.6875 -0.3125 L 2.46875 -0.3125 C 1.734375 -0.3125 1.71875 -0.421875 1.71875 -0.78125 L 1.71875 -2.3125 C 1.71875 -3.296875 2.140625 -4.1875 2.890625 -4.1875 C 2.953125 -4.1875 2.984375 -4.1875 3 -4.171875 C 2.96875 -4.171875 2.765625 -4.046875 2.765625 -3.78125 C 2.765625 -3.515625 2.984375 -3.359375 3.203125 -3.359375 C 3.375 -3.359375 3.625 -3.484375 3.625 -3.796875 C 3.625 -4.109375 3.3125 -4.40625 2.890625 -4.40625 C 2.15625 -4.40625 1.796875 -3.734375 1.671875 -3.3125 Z M 1.671875 -3.3125 "/>
+</symbol>
+<symbol overflow="visible" id="glyph0-22">
+<path style="stroke:none;" d="M 1.765625 -4.40625 L 0.375 -4.296875 L 0.375 -3.984375 C 1.015625 -3.984375 1.109375 -3.921875 1.109375 -3.4375 L 1.109375 -0.75 C 1.109375 -0.3125 1 -0.3125 0.328125 -0.3125 L 0.328125 0 C 0.640625 -0.015625 1.1875 -0.03125 1.421875 -0.03125 C 1.78125 -0.03125 2.125 -0.015625 2.46875 0 L 2.46875 -0.3125 C 1.796875 -0.3125 1.765625 -0.359375 1.765625 -0.75 Z M 1.796875 -6.140625 C 1.796875 -6.453125 1.5625 -6.671875 1.28125 -6.671875 C 0.96875 -6.671875 0.75 -6.40625 0.75 -6.140625 C 0.75 -5.875 0.96875 -5.609375 1.28125 -5.609375 C 1.5625 -5.609375 1.796875 -5.828125 1.796875 -6.140625 Z M 1.796875 -6.140625 "/>
+</symbol>
+<symbol overflow="visible" id="glyph0-23">
+<path style="stroke:none;" d="M 1.09375 -3.421875 L 1.09375 -0.75 C 1.09375 -0.3125 0.984375 -0.3125 0.3125 -0.3125 L 0.3125 0 C 0.671875 -0.015625 1.171875 -0.03125 1.453125 -0.03125 C 1.703125 -0.03125 2.21875 -0.015625 2.5625 0 L 2.5625 -0.3125 C 1.890625 -0.3125 1.78125 -0.3125 1.78125 -0.75 L 1.78125 -2.59375 C 1.78125 -3.625 2.5 -4.1875 3.125 -4.1875 C 3.765625 -4.1875 3.875 -3.65625 3.875 -3.078125 L 3.875 -0.75 C 3.875 -0.3125 3.765625 -0.3125 3.09375 -0.3125 L 3.09375 0 C 3.4375 -0.015625 3.953125 -0.03125 4.21875 -0.03125 C 4.46875 -0.03125 5 -0.015625 5.328125 0 L 5.328125 -0.3125 C 4.8125 -0.3125 4.5625 -0.3125 4.5625 -0.609375 L 4.5625 -2.515625 C 4.5625 -3.375 4.5625 -3.671875 4.25 -4.03125 C 4.109375 -4.203125 3.78125 -4.40625 3.203125 -4.40625 C 2.46875 -4.40625 2 -3.984375 1.71875 -3.359375 L 1.71875 -4.40625 L 0.3125 -4.296875 L 0.3125 -3.984375 C 1.015625 -3.984375 1.09375 -3.921875 1.09375 -3.421875 Z M 1.09375 -3.421875 "/>
+</symbol>
+<symbol overflow="visible" id="glyph0-24">
+<path style="stroke:none;" d="M 2.875 -2.5 C 2.875 -3.265625 2.765625 -4.46875 2.21875 -5.609375 C 1.625 -6.828125 0.765625 -7.484375 0.671875 -7.484375 C 0.609375 -7.484375 0.5625 -7.4375 0.5625 -7.375 C 0.5625 -7.34375 0.5625 -7.328125 0.75 -7.140625 C 1.734375 -6.15625 2.296875 -4.578125 2.296875 -2.5 C 2.296875 -0.78125 1.9375 0.96875 0.703125 2.21875 C 0.5625 2.34375 0.5625 2.359375 0.5625 2.390625 C 0.5625 2.453125 0.609375 2.5 0.671875 2.5 C 0.765625 2.5 1.671875 1.8125 2.25 0.546875 C 2.765625 -0.546875 2.875 -1.65625 2.875 -2.5 Z M 2.875 -2.5 "/>
+</symbol>
+<symbol overflow="visible" id="glyph0-25">
+<path style="stroke:none;" d="M 9.0625 -5.828125 C 9.234375 -6.40625 9.671875 -6.5 10.0625 -6.5 L 10.0625 -6.8125 C 9.765625 -6.78125 9.453125 -6.78125 9.15625 -6.78125 C 8.859375 -6.78125 8.21875 -6.796875 7.96875 -6.8125 L 7.96875 -6.5 C 8.640625 -6.484375 8.828125 -6.15625 8.828125 -5.96875 C 8.828125 -5.90625 8.796875 -5.828125 8.78125 -5.765625 L 7.28125 -1.171875 L 5.6875 -6.046875 C 5.6875 -6.09375 5.65625 -6.15625 5.65625 -6.203125 C 5.65625 -6.5 6.234375 -6.5 6.5 -6.5 L 6.5 -6.8125 C 6.140625 -6.78125 5.46875 -6.78125 5.078125 -6.78125 C 4.703125 -6.78125 4.28125 -6.796875 3.875 -6.8125 L 3.875 -6.5 C 4.4375 -6.5 4.640625 -6.5 4.765625 -6.140625 L 4.984375 -5.4375 L 3.59375 -1.171875 L 2 -6.078125 C 1.984375 -6.09375 1.96875 -6.171875 1.96875 -6.203125 C 1.96875 -6.5 2.546875 -6.5 2.8125 -6.5 L 2.8125 -6.8125 C 2.453125 -6.78125 1.78125 -6.78125 1.390625 -6.78125 C 1.015625 -6.78125 0.59375 -6.796875 0.171875 -6.8125 L 0.171875 -6.5 C 0.921875 -6.5 0.96875 -6.453125 1.09375 -6.078125 L 3.078125 0.03125 C 3.109375 0.125 3.140625 0.21875 3.265625 0.21875 C 3.40625 0.21875 3.421875 0.15625 3.46875 0.015625 L 5.109375 -5.046875 L 6.765625 0.03125 C 6.796875 0.125 6.828125 0.21875 6.953125 0.21875 C 7.09375 0.21875 7.125 0.15625 7.15625 0.015625 Z M 9.0625 -5.828125 "/>
+</symbol>
+<symbol overflow="visible" id="glyph0-26">
+<path style="stroke:none;" d="M 1.765625 -6.921875 L 0.328125 -6.8125 L 0.328125 -6.5 C 1.03125 -6.5 1.109375 -6.4375 1.109375 -5.9375 L 1.109375 -0.75 C 1.109375 -0.3125 1 -0.3125 0.328125 -0.3125 L 0.328125 0 C 0.65625 -0.015625 1.1875 -0.03125 1.4375 -0.03125 C 1.6875 -0.03125 2.171875 -0.015625 2.546875 0 L 2.546875 -0.3125 C 1.875 -0.3125 1.765625 -0.3125 1.765625 -0.75 Z M 1.765625 -6.921875 "/>
+</symbol>
+<symbol overflow="visible" id="glyph0-27">
+<path style="stroke:none;" d="M 2.21875 -1.71875 C 1.34375 -1.71875 1.34375 -2.71875 1.34375 -2.9375 C 1.34375 -3.203125 1.359375 -3.53125 1.5 -3.78125 C 1.578125 -3.890625 1.8125 -4.171875 2.21875 -4.171875 C 3.078125 -4.171875 3.078125 -3.1875 3.078125 -2.953125 C 3.078125 -2.6875 3.078125 -2.359375 2.921875 -2.109375 C 2.84375 -2 2.609375 -1.71875 2.21875 -1.71875 Z M 1.0625 -1.328125 C 1.0625 -1.359375 1.0625 -1.59375 1.21875 -1.796875 C 1.609375 -1.515625 2.03125 -1.484375 2.21875 -1.484375 C 3.140625 -1.484375 3.828125 -2.171875 3.828125 -2.9375 C 3.828125 -3.3125 3.671875 -3.671875 3.421875 -3.90625 C 3.78125 -4.25 4.140625 -4.296875 4.3125 -4.296875 C 4.34375 -4.296875 4.390625 -4.296875 4.421875 -4.28125 C 4.3125 -4.25 4.25 -4.140625 4.25 -4.015625 C 4.25 -3.84375 4.390625 -3.734375 4.546875 -3.734375 C 4.640625 -3.734375 4.828125 -3.796875 4.828125 -4.03125 C 4.828125 -4.203125 4.71875 -4.515625 4.328125 -4.515625 C 4.125 -4.515625 3.6875 -4.453125 3.265625 -4.046875 C 2.84375 -4.375 2.4375 -4.40625 2.21875 -4.40625 C 1.28125 -4.40625 0.59375 -3.71875 0.59375 -2.953125 C 0.59375 -2.515625 0.8125 -2.140625 1.0625 -1.921875 C 0.9375 -1.78125 0.75 -1.453125 0.75 -1.09375 C 0.75 -0.78125 0.890625 -0.40625 1.203125 -0.203125 C 0.59375 -0.046875 0.28125 0.390625 0.28125 0.78125 C 0.28125 1.5 1.265625 2.046875 2.484375 2.046875 C 3.65625 2.046875 4.6875 1.546875 4.6875 0.765625 C 4.6875 0.421875 4.5625 -0.09375 4.046875 -0.375 C 3.515625 -0.640625 2.9375 -0.640625 2.328125 -0.640625 C 2.078125 -0.640625 1.65625 -0.640625 1.578125 -0.65625 C 1.265625 -0.703125 1.0625 -1 1.0625 -1.328125 Z M 2.5 1.828125 C 1.484375 1.828125 0.796875 1.3125 0.796875 0.78125 C 0.796875 0.328125 1.171875 -0.046875 1.609375 -0.0625 L 2.203125 -0.0625 C 3.0625 -0.0625 4.171875 -0.0625 4.171875 0.78125 C 4.171875 1.328125 3.46875 1.828125 2.5 1.828125 Z M 2.5 1.828125 "/>
+</symbol>
+<symbol overflow="visible" id="glyph0-28">
+<path style="stroke:none;" d="M 4.078125 -2.296875 L 6.859375 -2.296875 C 7 -2.296875 7.1875 -2.296875 7.1875 -2.5 C 7.1875 -2.6875 7 -2.6875 6.859375 -2.6875 L 4.078125 -2.6875 L 4.078125 -5.484375 C 4.078125 -5.625 4.078125 -5.8125 3.875 -5.8125 C 3.671875 -5.8125 3.671875 -5.625 3.671875 -5.484375 L 3.671875 -2.6875 L 0.890625 -2.6875 C 0.75 -2.6875 0.5625 -2.6875 0.5625 -2.5 C 0.5625 -2.296875 0.75 -2.296875 0.890625 -2.296875 L 3.671875 -2.296875 L 3.671875 0.5 C 3.671875 0.640625 3.671875 0.828125 3.875 0.828125 C 4.078125 0.828125 4.078125 0.640625 4.078125 0.5 Z M 4.078125 -2.296875 "/>
+</symbol>
+<symbol overflow="visible" id="glyph1-0">
+<path style="stroke:none;" d=""/>
+</symbol>
+<symbol overflow="visible" id="glyph1-1">
+<path style="stroke:none;" d="M 3.84375 2.5 C 4 2.5 4.203125 2.5 4.203125 2.296875 C 4.203125 2.09375 4 2.09375 3.84375 2.09375 L 2.140625 2.09375 L 2.140625 -7.125 C 2.140625 -7.296875 2.140625 -7.484375 1.9375 -7.484375 C 1.734375 -7.484375 1.734375 -7.265625 1.734375 -7.125 L 1.734375 2.140625 C 1.734375 2.453125 1.78125 2.5 2.09375 2.5 Z M 3.84375 2.5 "/>
+</symbol>
+<symbol overflow="visible" id="glyph1-2">
+<path style="stroke:none;" d="M 2.6875 -7.125 C 2.6875 -7.296875 2.6875 -7.484375 2.484375 -7.484375 C 2.28125 -7.484375 2.28125 -7.265625 2.28125 -7.125 L 2.28125 2.09375 L 0.5625 2.09375 C 0.421875 2.09375 0.203125 2.09375 0.203125 2.296875 C 0.203125 2.5 0.421875 2.5 0.5625 2.5 L 2.328125 2.5 C 2.65625 2.5 2.6875 2.46875 2.6875 2.140625 Z M 2.6875 -7.125 "/>
+</symbol>
+<symbol overflow="visible" id="glyph2-0">
+<path style="stroke:none;" d=""/>
+</symbol>
+<symbol overflow="visible" id="glyph2-1">
+<path style="stroke:none;" d="M 3.515625 -1.265625 L 3.28125 -1.265625 C 3.265625 -1.109375 3.1875 -0.703125 3.09375 -0.640625 C 3.046875 -0.59375 2.515625 -0.59375 2.40625 -0.59375 L 1.125 -0.59375 C 1.859375 -1.234375 2.109375 -1.4375 2.515625 -1.765625 C 3.03125 -2.171875 3.515625 -2.609375 3.515625 -3.265625 C 3.515625 -4.109375 2.78125 -4.625 1.890625 -4.625 C 1.03125 -4.625 0.4375 -4.015625 0.4375 -3.375 C 0.4375 -3.03125 0.734375 -2.984375 0.8125 -2.984375 C 0.96875 -2.984375 1.171875 -3.109375 1.171875 -3.359375 C 1.171875 -3.484375 1.125 -3.734375 0.765625 -3.734375 C 0.984375 -4.21875 1.453125 -4.375 1.78125 -4.375 C 2.484375 -4.375 2.84375 -3.828125 2.84375 -3.265625 C 2.84375 -2.65625 2.40625 -2.1875 2.1875 -1.9375 L 0.515625 -0.265625 C 0.4375 -0.203125 0.4375 -0.1875 0.4375 0 L 3.3125 0 Z M 3.515625 -1.265625 "/>
+</symbol>
+<symbol overflow="visible" id="glyph3-0">
+<path style="stroke:none;" d=""/>
+</symbol>
+<symbol overflow="visible" id="glyph3-1">
+<path style="stroke:none;" d="M 0.875 -0.59375 C 0.84375 -0.4375 0.78125 -0.203125 0.78125 -0.15625 C 0.78125 0.015625 0.921875 0.109375 1.078125 0.109375 C 1.203125 0.109375 1.375 0.03125 1.453125 -0.171875 C 1.453125 -0.1875 1.578125 -0.65625 1.640625 -0.90625 L 1.859375 -1.796875 C 1.90625 -2.03125 1.96875 -2.25 2.03125 -2.46875 C 2.0625 -2.640625 2.140625 -2.9375 2.15625 -2.96875 C 2.296875 -3.28125 2.828125 -4.1875 3.78125 -4.1875 C 4.234375 -4.1875 4.3125 -3.8125 4.3125 -3.484375 C 4.3125 -2.875 3.828125 -1.59375 3.671875 -1.171875 C 3.578125 -0.9375 3.5625 -0.8125 3.5625 -0.703125 C 3.5625 -0.234375 3.921875 0.109375 4.390625 0.109375 C 5.328125 0.109375 5.6875 -1.34375 5.6875 -1.421875 C 5.6875 -1.53125 5.609375 -1.53125 5.578125 -1.53125 C 5.46875 -1.53125 5.46875 -1.5 5.421875 -1.34375 C 5.21875 -0.671875 4.890625 -0.109375 4.40625 -0.109375 C 4.234375 -0.109375 4.171875 -0.203125 4.171875 -0.4375 C 4.171875 -0.6875 4.25 -0.921875 4.34375 -1.140625 C 4.53125 -1.671875 4.953125 -2.765625 4.953125 -3.34375 C 4.953125 -4 4.53125 -4.40625 3.8125 -4.40625 C 2.90625 -4.40625 2.421875 -3.765625 2.25 -3.53125 C 2.203125 -4.09375 1.796875 -4.40625 1.328125 -4.40625 C 0.875 -4.40625 0.6875 -4.015625 0.59375 -3.84375 C 0.421875 -3.5 0.296875 -2.90625 0.296875 -2.875 C 0.296875 -2.765625 0.390625 -2.765625 0.40625 -2.765625 C 0.515625 -2.765625 0.515625 -2.78125 0.578125 -3 C 0.75 -3.703125 0.953125 -4.1875 1.3125 -4.1875 C 1.5 -4.1875 1.609375 -4.0625 1.609375 -3.734375 C 1.609375 -3.515625 1.578125 -3.40625 1.453125 -2.890625 Z M 0.875 -0.59375 "/>
+</symbol>
+<symbol overflow="visible" id="glyph4-0">
+<path style="stroke:none;" d=""/>
+</symbol>
+<symbol overflow="visible" id="glyph4-1">
+<path style="stroke:none;" d="M 2.953125 -4.203125 C 2.984375 -4.28125 3.34375 -5 3.875 -5.46875 C 4.25 -5.8125 4.734375 -6.03125 5.296875 -6.03125 C 5.859375 -6.03125 6.0625 -5.609375 6.0625 -5.03125 C 6.0625 -4.21875 5.484375 -2.578125 5.1875 -1.8125 C 5.0625 -1.46875 4.984375 -1.28125 4.984375 -1.015625 C 4.984375 -0.375 5.4375 0.140625 6.125 0.140625 C 7.453125 0.140625 7.953125 -1.96875 7.953125 -2.046875 C 7.953125 -2.125 7.90625 -2.1875 7.8125 -2.1875 C 7.6875 -2.1875 7.671875 -2.140625 7.609375 -1.890625 C 7.265625 -0.71875 6.734375 -0.140625 6.171875 -0.140625 C 6.03125 -0.140625 5.796875 -0.15625 5.796875 -0.609375 C 5.796875 -0.96875 5.953125 -1.40625 6.03125 -1.609375 C 6.328125 -2.390625 6.921875 -4 6.921875 -4.8125 C 6.921875 -5.6875 6.421875 -6.328125 5.328125 -6.328125 C 4.0625 -6.328125 3.390625 -5.421875 3.125 -5.0625 C 3.078125 -5.875 2.5 -6.328125 1.859375 -6.328125 C 1.40625 -6.328125 1.09375 -6.046875 0.84375 -5.5625 C 0.59375 -5.046875 0.390625 -4.1875 0.390625 -4.125 C 0.390625 -4.078125 0.4375 -4 0.546875 -4 C 0.65625 -4 0.671875 -4.015625 0.765625 -4.34375 C 0.984375 -5.21875 1.25 -6.03125 1.828125 -6.03125 C 2.15625 -6.03125 2.265625 -5.8125 2.265625 -5.375 C 2.265625 -5.0625 2.125 -4.5 2.015625 -4.0625 L 1.625 -2.515625 C 1.5625 -2.234375 1.40625 -1.59375 1.328125 -1.328125 C 1.234375 -0.96875 1.078125 -0.28125 1.078125 -0.21875 C 1.078125 -0.015625 1.234375 0.140625 1.453125 0.140625 C 1.625 0.140625 1.828125 0.0625 1.9375 -0.15625 C 1.96875 -0.234375 2.09375 -0.734375 2.171875 -1.015625 L 2.484375 -2.3125 Z M 2.953125 -4.203125 "/>
+</symbol>
+<symbol overflow="visible" id="glyph5-0">
+<path style="stroke:none;" d=""/>
+</symbol>
+<symbol overflow="visible" id="glyph5-1">
+<path style="stroke:none;" d="M 9.6875 -4.640625 C 9.890625 -4.640625 10.140625 -4.640625 10.140625 -4.90625 C 10.140625 -5.171875 9.890625 -5.171875 9.6875 -5.171875 L 1.234375 -5.171875 C 1.03125 -5.171875 0.78125 -5.171875 0.78125 -4.921875 C 0.78125 -4.640625 1.015625 -4.640625 1.234375 -4.640625 Z M 9.6875 -1.984375 C 9.890625 -1.984375 10.140625 -1.984375 10.140625 -2.234375 C 10.140625 -2.515625 9.890625 -2.515625 9.6875 -2.515625 L 1.234375 -2.515625 C 1.03125 -2.515625 0.78125 -2.515625 0.78125 -2.25 C 0.78125 -1.984375 1.015625 -1.984375 1.234375 -1.984375 Z M 9.6875 -1.984375 "/>
+</symbol>
+<symbol overflow="visible" id="glyph5-2">
+<path style="stroke:none;" d="M 4.125 -9.1875 C 4.125 -9.53125 4.125 -9.53125 3.84375 -9.53125 C 3.5 -9.15625 2.78125 -8.625 1.3125 -8.625 L 1.3125 -8.203125 C 1.640625 -8.203125 2.359375 -8.203125 3.140625 -8.578125 L 3.140625 -1.109375 C 3.140625 -0.59375 3.09375 -0.421875 1.84375 -0.421875 L 1.390625 -0.421875 L 1.390625 0 C 1.78125 -0.03125 3.171875 -0.03125 3.640625 -0.03125 C 4.109375 -0.03125 5.5 -0.03125 5.875 0 L 5.875 -0.421875 L 5.4375 -0.421875 C 4.171875 -0.421875 4.125 -0.59375 4.125 -1.109375 Z M 4.125 -9.1875 "/>
+</symbol>
+<symbol overflow="visible" id="glyph5-3">
+<path style="stroke:none;" d="M 1.84375 -8.21875 C 2.453125 -8.015625 2.953125 -8 3.109375 -8 C 4.734375 -8 5.765625 -9.1875 5.765625 -9.390625 C 5.765625 -9.453125 5.734375 -9.53125 5.65625 -9.53125 C 5.625 -9.53125 5.59375 -9.53125 5.46875 -9.46875 C 4.65625 -9.125 3.96875 -9.078125 3.59375 -9.078125 C 2.65625 -9.078125 1.984375 -9.359375 1.703125 -9.484375 C 1.609375 -9.53125 1.578125 -9.53125 1.5625 -9.53125 C 1.453125 -9.53125 1.453125 -9.4375 1.453125 -9.203125 L 1.453125 -4.953125 C 1.453125 -4.6875 1.453125 -4.609375 1.625 -4.609375 C 1.6875 -4.609375 1.703125 -4.625 1.84375 -4.796875 C 2.25 -5.375 2.921875 -5.71875 3.640625 -5.71875 C 4.40625 -5.71875 4.78125 -5.015625 4.890625 -4.78125 C 5.140625 -4.21875 5.15625 -3.515625 5.15625 -2.96875 C 5.15625 -2.421875 5.15625 -1.609375 4.75 -0.96875 C 4.4375 -0.4375 3.875 -0.09375 3.234375 -0.09375 C 2.296875 -0.09375 1.359375 -0.734375 1.109375 -1.78125 C 1.171875 -1.75 1.265625 -1.734375 1.328125 -1.734375 C 1.578125 -1.734375 1.96875 -1.875 1.96875 -2.359375 C 1.96875 -2.765625 1.6875 -3 1.328125 -3 C 1.078125 -3 0.703125 -2.875 0.703125 -2.3125 C 0.703125 -1.09375 1.671875 0.296875 3.265625 0.296875 C 4.890625 0.296875 6.3125 -1.0625 6.3125 -2.890625 C 6.3125 -4.59375 5.15625 -6.015625 3.65625 -6.015625 C 2.84375 -6.015625 2.203125 -5.65625 1.84375 -5.25 Z M 1.84375 -8.21875 "/>
+</symbol>
+</g>
+</defs>
+<g id="surface1">
+<path style="fill-rule:nonzero;fill:rgb(89.99939%,89.99939%,100%);fill-opacity:1;stroke-width:0.3985;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;" d="M 11.34025 -0.00003125 C 11.34025 6.261687 6.262125 11.339812 0.00040625 11.339812 C -6.261313 11.339812 -11.339438 6.261687 -11.339438 -0.00003125 C -11.339438 -6.26175 -6.261313 -11.339875 0.00040625 -11.339875 C 6.262125 -11.339875 11.34025 -6.26175 11.34025 -0.00003125 Z M 11.34025 -0.00003125 " transform="matrix(1,0,0,-1,232.441,17.207)"/>
+<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
+  <use xlink:href="#glyph0-1" x="229.95" y="20.418"/>
+</g>
+<path style="fill:none;stroke-width:0.3985;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;" d="M -73.702719 -42.519563 C -73.702719 -36.257844 -78.776938 -31.179719 -85.038656 -31.179719 C -91.304281 -31.179719 -96.3785 -36.257844 -96.3785 -42.519563 C -96.3785 -48.781281 -91.304281 -53.859406 -85.038656 -53.859406 C -78.776938 -53.859406 -73.702719 -48.781281 -73.702719 -42.519563 Z M -73.702719 -42.519563 " transform="matrix(1,0,0,-1,232.441,17.207)"/>
+<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
+  <use xlink:href="#glyph0-2" x="144.911" y="62.937"/>
+</g>
+<path style="fill:none;stroke-width:0.3985;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;" d="M -10.319906 -5.160188 L -74.72225 -37.359406 " transform="matrix(1,0,0,-1,232.441,17.207)"/>
+<path style="fill:none;stroke-width:0.3985;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;" d="M -116.22225 -85.039094 C -116.22225 -78.777375 -121.296469 -73.703156 -127.562094 -73.703156 C -133.823813 -73.703156 -138.898031 -78.777375 -138.898031 -85.039094 C -138.898031 -91.300813 -133.823813 -96.378938 -127.562094 -96.378938 C -121.296469 -96.378938 -116.22225 -91.300813 -116.22225 -85.039094 Z M -116.22225 -85.039094 " transform="matrix(1,0,0,-1,232.441,17.207)"/>
+<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
+  <use xlink:href="#glyph0-3" x="102.391" y="105.457"/>
+</g>
+<path style="fill:none;stroke-width:0.3985;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;" d="M -93.198813 -50.679719 L -119.401938 -76.882844 " transform="matrix(1,0,0,-1,232.441,17.207)"/>
+<path style="fill-rule:nonzero;fill:rgb(100%,89.99939%,89.99939%);fill-opacity:1;stroke-width:0.3985;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;" d="M -137.480063 -127.562531 C -137.480063 -121.296906 -142.558188 -116.222688 -148.819906 -116.222688 C -155.081625 -116.222688 -160.15975 -121.296906 -160.15975 -127.562531 C -160.15975 -133.82425 -155.081625 -138.898469 -148.819906 -138.898469 C -142.558188 -138.898469 -137.480063 -133.82425 -137.480063 -127.562531 Z M -137.480063 -127.562531 " transform="matrix(1,0,0,-1,232.441,17.207)"/>
+<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
+  <use xlink:href="#glyph0-4" x="81.131" y="147.977"/>
+</g>
+<path style="fill:none;stroke-width:0.3985;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;" d="M -132.72225 -95.359406 L -143.65975 -117.242219 " transform="matrix(1,0,0,-1,232.441,17.207)"/>
+<path style="fill-rule:nonzero;fill:rgb(100%,89.99939%,89.99939%);fill-opacity:1;stroke-width:0.3985;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;" d="M -94.960531 -127.562531 C -94.960531 -121.296906 -100.038656 -116.222688 -106.300375 -116.222688 C -112.562094 -116.222688 -117.640219 -121.296906 -117.640219 -127.562531 C -117.640219 -133.82425 -112.562094 -138.898469 -106.300375 -138.898469 C -100.038656 -138.898469 -94.960531 -133.82425 -94.960531 -127.562531 Z M -94.960531 -127.562531 " transform="matrix(1,0,0,-1,232.441,17.207)"/>
+<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
+  <use xlink:href="#glyph0-5" x="123.651" y="147.977"/>
+</g>
+<path style="fill:none;stroke-width:0.3985;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;" d="M -122.401938 -95.359406 L -111.460531 -117.242219 " transform="matrix(1,0,0,-1,232.441,17.207)"/>
+<path style="fill:none;stroke-width:0.3985;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;" d="M -31.183188 -85.039094 C -31.183188 -78.777375 -36.257406 -73.703156 -42.519125 -73.703156 C -48.780844 -73.703156 -53.858969 -78.777375 -53.858969 -85.039094 C -53.858969 -91.300813 -48.780844 -96.378938 -42.519125 -96.378938 C -36.257406 -96.378938 -31.183188 -91.300813 -31.183188 -85.039094 Z M -31.183188 -85.039094 " transform="matrix(1,0,0,-1,232.441,17.207)"/>
+<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
+  <use xlink:href="#glyph0-6" x="187.43" y="105.457"/>
+</g>
+<path style="fill:none;stroke-width:0.3985;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;" d="M -76.882406 -50.679719 L -50.679281 -76.882844 " transform="matrix(1,0,0,-1,232.441,17.207)"/>
+<path style="fill-rule:nonzero;fill:rgb(100%,89.99939%,89.99939%);fill-opacity:1;stroke-width:0.3985;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;" d="M -52.441 -127.562531 C -52.441 -121.296906 -57.519125 -116.222688 -63.780844 -116.222688 C -70.042563 -116.222688 -75.120688 -121.296906 -75.120688 -127.562531 C -75.120688 -133.82425 -70.042563 -138.898469 -63.780844 -138.898469 C -57.519125 -138.898469 -52.441 -133.82425 -52.441 -127.562531 Z M -52.441 -127.562531 " transform="matrix(1,0,0,-1,232.441,17.207)"/>
+<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
+  <use xlink:href="#glyph0-7" x="166.17" y="147.977"/>
+</g>
+<path style="fill:none;stroke-width:0.3985;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;" d="M -47.679281 -95.359406 L -58.620688 -117.242219 " transform="matrix(1,0,0,-1,232.441,17.207)"/>
+<path style="fill-rule:nonzero;fill:rgb(100%,89.99939%,89.99939%);fill-opacity:1;stroke-width:0.3985;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;" d="M -9.921469 -127.562531 C -9.921469 -121.296906 -14.999594 -116.222688 -21.261313 -116.222688 C -27.523031 -116.222688 -32.59725 -121.296906 -32.59725 -127.562531 C -32.59725 -133.82425 -27.523031 -138.898469 -21.261313 -138.898469 C -14.999594 -138.898469 -9.921469 -133.82425 -9.921469 -127.562531 Z M -9.921469 -127.562531 " transform="matrix(1,0,0,-1,232.441,17.207)"/>
+<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
+  <use xlink:href="#glyph0-8" x="208.69" y="147.977"/>
+</g>
+<path style="fill:none;stroke-width:0.3985;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;" d="M -37.358969 -95.359406 L -26.421469 -117.242219 " transform="matrix(1,0,0,-1,232.441,17.207)"/>
+<path style="fill:none;stroke-width:0.3985;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;" d="M 96.379312 -42.519563 C 96.379312 -36.257844 91.301187 -31.179719 85.039469 -31.179719 C 78.77775 -31.179719 73.703531 -36.257844 73.703531 -42.519563 C 73.703531 -48.781281 78.77775 -53.859406 85.039469 -53.859406 C 91.301187 -53.859406 96.379312 -48.781281 96.379312 -42.519563 Z M 96.379312 -42.519563 " transform="matrix(1,0,0,-1,232.441,17.207)"/>
+<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
+  <use xlink:href="#glyph0-4" x="312.499" y="62.937"/>
+  <use xlink:href="#glyph0-3" x="317.4803" y="62.937"/>
+</g>
+<path style="fill:none;stroke-width:0.3985;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;" d="M 10.320719 -5.160188 L 74.719156 -37.359406 " transform="matrix(1,0,0,-1,232.441,17.207)"/>
+<path style="fill:none;stroke-width:0.3985;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;" d="M 53.859781 -85.039094 C 53.859781 -78.777375 48.781656 -73.703156 42.519937 -73.703156 C 36.258219 -73.703156 31.180094 -78.777375 31.180094 -85.039094 C 31.180094 -91.300813 36.258219 -96.378938 42.519937 -96.378938 C 48.781656 -96.378938 53.859781 -91.300813 53.859781 -85.039094 Z M 53.859781 -85.039094 " transform="matrix(1,0,0,-1,232.441,17.207)"/>
+<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
+  <use xlink:href="#glyph0-4" x="269.979" y="105.457"/>
+  <use xlink:href="#glyph0-9" x="274.9603" y="105.457"/>
+</g>
+<path style="fill:none;stroke-width:0.3985;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;" d="M 76.883219 -50.679719 L 50.680094 -76.882844 " transform="matrix(1,0,0,-1,232.441,17.207)"/>
+<path style="fill-rule:nonzero;fill:rgb(100%,89.99939%,89.99939%);fill-opacity:1;stroke-width:0.3985;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;" d="M 32.598062 -127.562531 C 32.598062 -121.296906 27.523844 -116.222688 21.258219 -116.222688 C 14.9965 -116.222688 9.922281 -121.296906 9.922281 -127.562531 C 9.922281 -133.82425 14.9965 -138.898469 21.258219 -138.898469 C 27.523844 -138.898469 32.598062 -133.82425 32.598062 -127.562531 Z M 32.598062 -127.562531 " transform="matrix(1,0,0,-1,232.441,17.207)"/>
+<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
+  <use xlink:href="#glyph0-10" x="251.21" y="147.977"/>
+</g>
+<path style="fill:none;stroke-width:0.3985;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;" d="M 37.359781 -95.359406 L 26.418375 -117.242219 " transform="matrix(1,0,0,-1,232.441,17.207)"/>
+<path style="fill-rule:nonzero;fill:rgb(100%,89.99939%,89.99939%);fill-opacity:1;stroke-width:0.3985;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;" d="M 75.117594 -127.562531 C 75.117594 -121.296906 70.043375 -116.222688 63.781656 -116.222688 C 57.519937 -116.222688 52.441812 -121.296906 52.441812 -127.562531 C 52.441812 -133.82425 57.519937 -138.898469 63.781656 -138.898469 C 70.043375 -138.898469 75.117594 -133.82425 75.117594 -127.562531 Z M 75.117594 -127.562531 " transform="matrix(1,0,0,-1,232.441,17.207)"/>
+<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
+  <use xlink:href="#glyph0-4" x="291.239" y="147.977"/>
+  <use xlink:href="#glyph0-4" x="296.2203" y="147.977"/>
+</g>
+<path style="fill:none;stroke-width:0.3985;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;" d="M 47.680094 -95.359406 L 58.6215 -117.242219 " transform="matrix(1,0,0,-1,232.441,17.207)"/>
+<path style="fill:none;stroke-width:0.3985;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;" d="M 138.898844 -85.039094 C 138.898844 -78.777375 133.824625 -73.703156 127.559 -73.703156 C 121.297281 -73.703156 116.223062 -78.777375 116.223062 -85.039094 C 116.223062 -91.300813 121.297281 -96.378938 127.559 -96.378938 C 133.824625 -96.378938 138.898844 -91.300813 138.898844 -85.039094 Z M 138.898844 -85.039094 " transform="matrix(1,0,0,-1,232.441,17.207)"/>
+<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
+  <use xlink:href="#glyph0-4" x="355.018" y="105.457"/>
+  <use xlink:href="#glyph0-2" x="359.9993" y="105.457"/>
+</g>
+<path style="fill:none;stroke-width:0.3985;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;" d="M 93.199625 -50.679719 L 119.40275 -76.882844 " transform="matrix(1,0,0,-1,232.441,17.207)"/>
+<path style="fill-rule:nonzero;fill:rgb(100%,89.99939%,89.99939%);fill-opacity:1;stroke-width:0.3985;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;" d="M 117.641031 -127.562531 C 117.641031 -121.296906 112.562906 -116.222688 106.301187 -116.222688 C 100.039469 -116.222688 94.961344 -121.296906 94.961344 -127.562531 C 94.961344 -133.82425 100.039469 -138.898469 106.301187 -138.898469 C 112.562906 -138.898469 117.641031 -133.82425 117.641031 -127.562531 Z M 117.641031 -127.562531 " transform="matrix(1,0,0,-1,232.441,17.207)"/>
+<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
+  <use xlink:href="#glyph0-4" x="333.759" y="147.977"/>
+  <use xlink:href="#glyph0-5" x="338.7403" y="147.977"/>
+</g>
+<path style="fill:none;stroke-width:0.3985;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;" d="M 122.40275 -95.359406 L 111.461344 -117.242219 " transform="matrix(1,0,0,-1,232.441,17.207)"/>
+<path style="fill-rule:nonzero;fill:rgb(100%,89.99939%,89.99939%);fill-opacity:1;stroke-width:0.3985;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;" d="M 160.160562 -127.562531 C 160.160562 -121.296906 155.082437 -116.222688 148.820719 -116.222688 C 142.559 -116.222688 137.480875 -121.296906 137.480875 -127.562531 C 137.480875 -133.82425 142.559 -138.898469 148.820719 -138.898469 C 155.082437 -138.898469 160.160562 -133.82425 160.160562 -127.562531 Z M 160.160562 -127.562531 " transform="matrix(1,0,0,-1,232.441,17.207)"/>
+<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
+  <use xlink:href="#glyph0-4" x="376.278" y="147.977"/>
+  <use xlink:href="#glyph0-7" x="381.2593" y="147.977"/>
+</g>
+<path style="fill:none;stroke-width:0.3985;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;" d="M 132.719156 -95.359406 L 143.660562 -117.242219 " transform="matrix(1,0,0,-1,232.441,17.207)"/>
+<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
+  <use xlink:href="#glyph0-11" x="107.029" y="19.698"/>
+  <use xlink:href="#glyph0-12" x="114.08551" y="19.698"/>
+  <use xlink:href="#glyph0-13" x="118.512889" y="19.698"/>
+  <use xlink:href="#glyph0-14" x="122.442138" y="19.698"/>
+</g>
+<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
+  <use xlink:href="#glyph0-15" x="129.634139" y="19.698"/>
+  <use xlink:href="#glyph0-16" x="134.061519" y="19.698"/>
+  <use xlink:href="#glyph0-13" x="139.042819" y="19.698"/>
+</g>
+<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
+  <use xlink:href="#glyph0-12" x="142.982031" y="19.698"/>
+</g>
+<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
+  <use xlink:href="#glyph0-17" x="150.726956" y="19.698"/>
+  <use xlink:href="#glyph0-4" x="154.601411" y="19.698"/>
+</g>
+<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
+  <use xlink:href="#glyph0-15" x="162.900257" y="19.698"/>
+  <use xlink:href="#glyph0-18" x="167.327637" y="19.698"/>
+  <use xlink:href="#glyph0-19" x="172.308937" y="19.698"/>
+  <use xlink:href="#glyph0-20" x="180.610771" y="19.698"/>
+  <use xlink:href="#glyph0-16" x="186.145992" y="19.698"/>
+  <use xlink:href="#glyph0-21" x="191.127292" y="19.698"/>
+  <use xlink:href="#glyph0-22" x="195.029642" y="19.698"/>
+  <use xlink:href="#glyph0-13" x="197.797252" y="19.698"/>
+  <use xlink:href="#glyph0-18" x="201.726502" y="19.698"/>
+  <use xlink:href="#glyph0-23" x="206.707802" y="19.698"/>
+  <use xlink:href="#glyph0-24" x="212.243022" y="19.698"/>
+</g>
+<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
+  <use xlink:href="#glyph0-25" x="5.669" y="134.97"/>
+</g>
+<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
+  <use xlink:href="#glyph0-18" x="15.081664" y="134.97"/>
+  <use xlink:href="#glyph0-21" x="20.062964" y="134.97"/>
+  <use xlink:href="#glyph0-13" x="23.965315" y="134.97"/>
+  <use xlink:href="#glyph0-14" x="27.894564" y="134.97"/>
+</g>
+<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
+  <use xlink:href="#glyph0-15" x="35.086565" y="134.97"/>
+  <use xlink:href="#glyph0-16" x="39.513945" y="134.97"/>
+  <use xlink:href="#glyph0-13" x="44.495245" y="134.97"/>
+  <use xlink:href="#glyph0-12" x="48.424494" y="134.97"/>
+</g>
+<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
+  <use xlink:href="#glyph0-17" x="5.669" y="146.925"/>
+</g>
+<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
+  <use xlink:href="#glyph1-1" x="9.544" y="146.925"/>
+</g>
+<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
+  <use xlink:href="#glyph0-26" x="13.972" y="146.925"/>
+  <use xlink:href="#glyph0-18" x="16.73961" y="146.925"/>
+  <use xlink:href="#glyph0-27" x="21.72091" y="146.925"/>
+</g>
+<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
+  <use xlink:href="#glyph2-1" x="26.84" y="149.36"/>
+</g>
+<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
+  <use xlink:href="#glyph0-17" x="31.309" y="146.925"/>
+</g>
+<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
+  <use xlink:href="#glyph3-1" x="35.184" y="146.925"/>
+</g>
+<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
+  <use xlink:href="#glyph0-24" x="41.164" y="146.925"/>
+</g>
+<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
+  <use xlink:href="#glyph0-28" x="47.319891" y="146.925"/>
+</g>
+<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
+  <use xlink:href="#glyph0-4" x="57.360199" y="146.925"/>
+</g>
+<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
+  <use xlink:href="#glyph1-2" x="62.337" y="146.925"/>
+</g>
+<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
+  <use xlink:href="#glyph0-15" x="5.669" y="158.88"/>
+  <use xlink:href="#glyph0-18" x="10.096379" y="158.88"/>
+  <use xlink:href="#glyph0-19" x="15.077679" y="158.88"/>
+  <use xlink:href="#glyph0-20" x="23.379514" y="158.88"/>
+  <use xlink:href="#glyph0-16" x="28.914735" y="158.88"/>
+  <use xlink:href="#glyph0-21" x="33.896035" y="158.88"/>
+  <use xlink:href="#glyph0-22" x="37.798385" y="158.88"/>
+  <use xlink:href="#glyph0-13" x="40.565995" y="158.88"/>
+  <use xlink:href="#glyph0-18" x="44.495245" y="158.88"/>
+  <use xlink:href="#glyph0-23" x="49.476545" y="158.88"/>
+  <use xlink:href="#glyph0-13" x="55.011765" y="158.88"/>
+  <use xlink:href="#glyph0-24" x="58.941015" y="158.88"/>
+</g>
+<path style="fill:none;stroke-width:0.3985;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;" d="M 92.125406 -11.339875 L 162.992594 -11.339875 L 162.992594 11.339812 L 92.125406 11.339812 Z M 92.125406 -11.339875 " transform="matrix(1,0,0,-1,232.441,17.207)"/>
+<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
+  <use xlink:href="#glyph4-1" x="339.336" y="21.83"/>
+</g>
+<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
+  <use xlink:href="#glyph5-1" x="351.706" y="21.83"/>
+</g>
+<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
+  <use xlink:href="#glyph5-2" x="366.62031" y="21.83"/>
+  <use xlink:href="#glyph5-3" x="373.644209" y="21.83"/>
+</g>
+</g>
+</svg>