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+/**********************************************************/ +/**** Exercice 1 : Programation récursive / dynamique ****/ +/**********************************************************/ + +/** Retourne le nombre de fibonacci défini selon la suite : + * f(n) = 0 pour n < 0 + * f(0) = 1 + * f(n) = f(n-1) + f(n-2) pour n > 0 + * et calculé de façon récursive + * @param n un entier + * @return la valeur de la fonction + **/ +int fibonacciRec(int n) { + cerr << "Erreur : fonction non implantée" << endl; throw 0; // Supprimer cette ligne +} + +/** Test de la fonction fibonacciRec + */ +void testFibonacciRec() { + cout << "Début des tests : fibonacci rec" << endl; + ASSERT(fibonacciRec(-5)==0); + ASSERT(fibonacciRec(0)==1); + ASSERT(fibonacciRec(1)==1); + ASSERT(fibonacciRec(2)==2); + ASSERT(fibonacciRec(3)==3); + ASSERT(fibonacciRec(4)==5); + ASSERT(fibonacciRec(5)==8); + ASSERT(fibonacciRec(6)==13); + ASSERT(fibonacciRec(7)==21); + cout << "Fin des tests : fibonacci rec" << endl; +} + +/** Retourne le nombre de fibonacci défini selon la suite : + * f(n) = 0 pour n < 0 + * f(0) = 1 + * f(n) = f(n-1) + f(n-2) pour n > 0 + * et calculé de façon dynamique + * @param n un entier + * @return la valeur de la fonction + **/ +int fibonacciDyn(int n) { + cerr << "Erreur : fonction non implantée" << endl; throw 0; // Supprimer cette ligne +} + +/** Test de la fonction fibonacciDyn + */ +void testFibonacciDyn() { + cout << "Début des tests : fibonacci dyn" << endl; + ASSERT(fibonacciDyn(-5)==0); + ASSERT(fibonacciDyn(0)==1); + ASSERT(fibonacciDyn(1)==1); + ASSERT(fibonacciDyn(2)==2); + ASSERT(fibonacciDyn(3)==3); + ASSERT(fibonacciDyn(4)==5); + ASSERT(fibonacciDyn(5)==8); + ASSERT(fibonacciDyn(6)==13); + ASSERT(fibonacciDyn(7)==21); + ASSERT(fibonacciDyn(22) == 28657); + ASSERT(fibonacciDyn(40) == 165580141); + cout << "Fin des tests : fibonacci dyn" << endl; +} + +/** Retourne le nombre de suites possibe de taille n formée de + * briques de taille 1 + * briques de taille 2 rouges ou bleues + * et calculé de façon récursive + * @param n un entier + * @return le nombre de suites possible + **/ +int rougeBleuRec(int n) { + cerr << "Erreur : fonction non implantée" << endl; throw 0; // Supprimer cette ligne +} + +/** Test de la fonction rougeBleuRec + */ +void testRougeBleuRec() { + cout << "Début des tests : rouge bleu rec" << endl; + ASSERT(rougeBleuRec(-5)==0); + ASSERT(rougeBleuRec(0)==1); + ASSERT(rougeBleuRec(1)==1); + ASSERT(rougeBleuRec(2)==3); + ASSERT(rougeBleuRec(3)==5); + ASSERT(rougeBleuRec(4)==11); + ASSERT(rougeBleuRec(5)==21); + ASSERT(rougeBleuRec(6)==43); + ASSERT(rougeBleuRec(7)==85); + cout << "Fin des tests : rouge bleu rec" << endl; +} + +/** Retourne le nombre de suites possibe de taille n formée de + * briques de taille 1 + * briques de taille 2 rouges ou bleues + * et calculé de façon dynamique + * @param n un entier + * @return le nombre de suites possible + **/ +int rougeBleuDyn(int n) { + cerr << "Erreur : fonction non implantée" << endl; throw 0; // Supprimer cette ligne +} + +/** Test de la fonction rougeBleuRec + */ +void testRougeBleuDyn() { + cout << "Début des tests : rouge bleu dyn" << endl; + ASSERT(rougeBleuDyn(-5)==0); + ASSERT(rougeBleuDyn(0)==1); + ASSERT(rougeBleuDyn(1)==1); + ASSERT(rougeBleuDyn(2)==3); + ASSERT(rougeBleuDyn(3)==5); + ASSERT(rougeBleuDyn(4)==11); + ASSERT(rougeBleuDyn(5)==21); + ASSERT(rougeBleuDyn(6)==43); + ASSERT(rougeBleuDyn(7)==85); + ASSERT(rougeBleuDyn(22)==2796203); + ASSERT(rougeBleuDyn(35)==1431655765); + cout << "Fin des tests : rouge bleu dyn" << endl; +} + + + +/** Retourne le nombre de sequences possibles pour un score donné + * une séquence est une suite contenant des : + * - essais transformés (7 points), + * - essais non transformés (5 points), + * - tirs (3 points), + * - pénalités (3 points) + * calculé de façon récursive + * @param n, le score final + * @return le nombre de sequences + **/ +int nbSeqRugbyRec(int n) { + cerr << "Erreur : fonction non implantée" << endl; throw 0; // Supprimer cette ligne +} + +/** Test de la fonction nbSeqRugbyRec + */ +void testNbSeqRugbyRec() { + cout << "Début des tests : Séquence rugby rec" << endl; + ASSERT(nbSeqRugbyRec(-5)==0); + ASSERT(nbSeqRugbyRec(0)==1); + ASSERT(nbSeqRugbyRec(1)==0); + ASSERT(nbSeqRugbyRec(2)==0); + ASSERT(nbSeqRugbyRec(3)==2); + ASSERT(nbSeqRugbyRec(4)==0); + ASSERT(nbSeqRugbyRec(5)==1); + ASSERT(nbSeqRugbyRec(6)==4); + ASSERT(nbSeqRugbyRec(7)==1); + ASSERT(nbSeqRugbyRec(8)==4); + ASSERT(nbSeqRugbyRec(9)==8); + ASSERT(nbSeqRugbyRec(10)==5); + cout << "Fin des tests : Séquence rugby rec" << endl; +} + +/** Retourne le nombre de sequences possibles pour un score donné + * une séquence est une suite contenant des : + * - essais transformés (7 points), + * - essais non transformés (5 points), + * - tirs (3 points), + * - pénalités (3 points) + * calculé de façon dynamique + * @param n, le score final + * @return le nombre de sequences + **/ +int nbSeqRugbyDyn(int n) { + cerr << "Erreur : fonction non implantée" << endl; throw 0; // Supprimer cette ligne +} + +/** Test de la fonction nbSeqRugbyRec + */ +void testNbSeqRugbyDyn() { + cout << "Début des tests : Séquence rugby dyn" << endl; + ASSERT(nbSeqRugbyDyn(-5)==0); + ASSERT(nbSeqRugbyDyn(0)==1); + ASSERT(nbSeqRugbyDyn(1)==0); + ASSERT(nbSeqRugbyDyn(2)==0); + ASSERT(nbSeqRugbyDyn(3)==2); + ASSERT(nbSeqRugbyDyn(4)==0); + ASSERT(nbSeqRugbyDyn(5)==1); + ASSERT(nbSeqRugbyDyn(6)==4); + ASSERT(nbSeqRugbyDyn(7)==1); + ASSERT(nbSeqRugbyDyn(8)==4); + ASSERT(nbSeqRugbyDyn(9)==8); + ASSERT(nbSeqRugbyDyn(10)==5); + ASSERT(nbSeqRugbyDyn(50)==6156717); + cout << "Fin des tests : Séquence rugby dyn" << endl; +} + +/*********************************************/ +/**** Exercice 2 : Génération exhaustive ****/ +/*********************************************/ + +/** Affiche tous les couples (i,j) + * pour 0 <= i < n, 0 <= j < n + * @param n, un entier + **/ +void afficheCouples(int n) { + for(int i = 0; i < n; i++) { + for(int j = 0; j < n; j++) { + cout << "(" << i << "," << j << ") "; + } + } + cout << endl; +} + +/** Test de la fonction afficheCouples + */ +void testAffichesCouples() { + afficheCouples(0); + afficheCouples(3); + afficheCouples(5); +} + +/** Affiche tous les triplets (i,j,k) + * pour 0 <= i < n, 0 <= j < n, 0 <= k < n + * @param n, un entier + **/ +void afficheTriplets(int n) { + cerr << "Erreur : fonction non implantée" << endl; throw 0; // Supprimer cette ligne +} + +/** Test de la fonction afficheTriplets + */ +void testAffichesTriplets() { + afficheTriplets(0); + afficheTriplets(3); + afficheTriplets(5); +} + +typedef vector<vector<int>> Collection; + +/** Affiche un vecteur d'entier + * @param v, un k-uplet d'entier + **/ +void afficheVector(const vector<int> &v) { + cout << "("; + for(unsigned int i =0; i < v.size(); i++) { + cout << v[i]; + if(i!= v.size() -1) { + cout << ", "; + } + } + cout << ")" << endl; +} + +/** Affiche une collection de vecteur d'entiers + * @param C une collection de vecteurs + **/ +void afficheCollection(const Collection &C) { + cout << "{"; + for(unsigned int i =0; i < C.size(); i++) { + afficheVector(C[i]); + } + cout << "}" << endl; +} + +/** Retourne la collection contenant l'unique 0-uplet + **/ +Collection genere0Uplets() { + Collection C = Collection(); + C.push_back(vector<int>()); // On ajoute le vecteur vide à la collection + return C; +} + +/** Retourne la collection contenant l'ensembe des 1-uplets (i) avec + * 0 <= i < n + * @param n, un entier : la valeur maximale de i + **/ +Collection genere1Uplets(int n) { + Collection C1 = Collection(); // collection des 1-uplets + Collection C0 = genere0Uplets(); // collection des 0-uplets + for(unsigned int ind =0; ind < C0.size(); ind++) { + for(int i =0; i < n; i++) { + vector<int> v = C0[ind]; // Je copie le vecteur d'entier de taille 0 + v.push_back(i); // Je rajoute i au vecteur de taille 0 (j'obtiens donc un vecteur de taille 1) + C1.push_back(v); // Je rajoute v à ma collection + } + } + return C1; +} + +/** Retourne la collection contenant l'ensembe des 2-uplets (i,j) avec + * 0 <= i < n, 0 <= j < n + * @param n, un entier : la valeur maximale de i et j + **/ +Collection genere2Uplets(int n) { + Collection C2 = Collection(); // collection des 2-uplets + Collection C1 = genere1Uplets(n); // collection des 1-uplets + for(unsigned int ind =0; ind < C1.size(); ind++) { + for(int i =0; i < n; i++) { + vector<int> v = C1[ind]; // Je copie le vecteur d'entier de taille 1 + v.push_back(i); // Je rajoute i au vecteur de taille 1 (j'obtiens donc un vecteur de taille 2) + C2.push_back(v); // Je rajoute v à ma collection + } + } + return C2; +} + +/** Retourne la collection contenant l'ensembe des 3-uplets (i,j,k) avec + * 0 <= i < n, 0 <= j < n, 0 <= k < n + * @param n, un entier : la valeur maximale de i, j et k + **/ +Collection genere3Uplets(int n) { + cerr << "Erreur : fonction non implantée" << endl; throw 0; // Supprimer cette ligne +} + +/** Test de la fonction genere3Uplets + **/ +void testGenere3Uplets() { + cout << "Début des tests : genere3Uplets" << endl; + ASSERT(genere3Uplets(-5).size() == 0); + ASSERT(genere3Uplets(0).size() == 0); + ASSERT(genere3Uplets(1).size() == 1); + ASSERT(genere3Uplets(2).size() == 8); + ASSERT(genere3Uplets(3).size() == 27); + Collection C = genere3Uplets(4); + ASSERT(C.size() == 64); + ASSERT(C[0].size() == 3); + ASSERT(C[63].size() == 3); + ASSERT(C[42].size() == 3); + cout << "Fin des tests : genere3Uplets" << endl; +} + +/** Retourne la collection contenant l'ensembe des k-uplets (i1, ..., ik) + * 0 <= i1 < n, 0 <= i2 < n,... 0 <= ik < n + * @param n, un entier : la valeur maximale de i1, i2, ...,ik + * @param k, le nombre d'éléments dans les k-uplets + * @return une collection de k-uplets + * Remarque : si k<0, no retourne la collection vide, si k=0 on retourne la collection contenant le vecteur vide + **/ +Collection generekUplets(int n, int k) { + cerr << "Erreur : fonction non implantée" << endl; throw 0; // Supprimer cette ligne +} + +/** Test de la fonction generekUplets + **/ +void testGenerekUplets() { + cout << "Début des tests : generekUplets" << endl; + ASSERT(generekUplets(1,-1).size() == 0); + ASSERT(generekUplets(-1,1).size() == 0); + ASSERT(generekUplets(0,0).size() == 1); + ASSERT(generekUplets(0,1).size() == 1); + ASSERT(generekUplets(1,0).size() == 0); + ASSERT(generekUplets(0,3).size() == 0); + ASSERT(generekUplets(1,3).size() == 1); + ASSERT(generekUplets(2,3).size() == 8); + ASSERT(generekUplets(3,3).size() == 27); + ASSERT(generekUplets(1,4).size() == 1); + ASSERT(generekUplets(2,4).size() == 16); + ASSERT(generekUplets(3,4).size() == 81); + Collection C = generekUplets(4,3); + ASSERT(C.size() == 64); + ASSERT(C[0].size() == 3); + ASSERT(C[63].size() == 3); + ASSERT(C[42].size() == 3); + C = generekUplets(4,4); + ASSERT(C.size() == 256); + ASSERT(C[0].size() == 4); + ASSERT(C[63].size() == 4); + ASSERT(C[42].size() == 4); + ASSERT(C[255].size() == 4); + cout << "Fin des tests : generekUplets" << endl; +} + +/***************************************/ +/**** Exercice 3 : Retour au Rugby ****/ +/***************************************/ + +/** Retourne le score associé à un vecteur qui représente un jeu + * de rugby (nb d'essais transformé, nb d'essais non transformés, nb de tirs, nb de pénalités) + * @param v,un vecteur d'entier + * @return le score associé + **/ +int scoreRugby(const vector<int> &v) { + cerr << "Erreur : fonction non implantée" << endl; throw 0; // Supprimer cette ligne +} + +/** Test de la fonction scoreRugby + **/ +void testScoreRugby() { + cout << "Début des tests : scoreRugby" << endl; + ASSERT(scoreRugby({}) == 0); + ASSERT(scoreRugby({0}) == 0); + ASSERT(scoreRugby({1}) == 7); + ASSERT(scoreRugby({2}) == 14); + ASSERT(scoreRugby({0,0}) == 0); + ASSERT(scoreRugby({0,1}) == 5); + ASSERT(scoreRugby({1,1}) == 12); + ASSERT(scoreRugby({1,2}) == 17); + ASSERT(scoreRugby({0,0,0}) == 0); + ASSERT(scoreRugby({0,0,1}) == 3); + ASSERT(scoreRugby({0,0,2}) == 6); + ASSERT(scoreRugby({1,1,2}) == 18); + ASSERT(scoreRugby({0,0,0,0}) == 0); + ASSERT(scoreRugby({0,0,0,1}) == 3); + ASSERT(scoreRugby({0,0,0,2}) == 6); + ASSERT(scoreRugby({3,1,2,3}) == 41); + cout << "Fin des tests : scoreRugby" << endl; +} + +/** Retourne l'ensemble des configuations possible pour un score donné + * sans tenir compte de l'ordre + * @param le score + * @return une collection de vecteurs représentant des matchs + **/ +Collection matchsRugby(int score) { + cerr << "Erreur : fonction non implantée" << endl; throw 0; // Supprimer cette ligne +} + +/** Test de la fonction matchsRugby + **/ +void testMatchsRugby() { + cout << "Début des tests : matchs Rugby" << endl; + ASSERT(matchsRugby(-5).size() == 0); + ASSERT(matchsRugby(0).size() == 1); + ASSERT(matchsRugby(1).size() == 0); + ASSERT(matchsRugby(2).size() == 0); + ASSERT(matchsRugby(3).size() == 2); + ASSERT(matchsRugby(4).size() == 0); + ASSERT(matchsRugby(5).size() == 1); + ASSERT(matchsRugby(6).size() == 3); + ASSERT(matchsRugby(7).size() == 1); + ASSERT(matchsRugby(8).size() == 2); + ASSERT(matchsRugby(9).size() == 4); + ASSERT(matchsRugby(10).size() == 3); + ASSERT(matchsRugby(50).size() == 106); + cout << "Fin des tests : matchs Rugby" << endl; +} + +/** Retourne les vecteurs de taille k qui correspondent à un score inférireur ou égal à n + * @param n, le score + * @param k, la taille du vecteur (on suppose k inférieur ou égal à 4) + * @return une collection de vecteurs représentant des matchs + **/ +Collection matchsRugbyInf(int n, int k) { + cerr << "Erreur : fonction non implantée" << endl; throw 0; // Supprimer cette ligne +} + +/** Test de la fonction matchsRugbyInf + **/ +void testMatchsRugbyInf() { + cout << "Début des tests : matchs Rugby inf" << endl; + ASSERT(matchsRugbyInf(-5,1).size() == 0); + ASSERT(matchsRugbyInf(0,1).size() == 1); + ASSERT(matchsRugbyInf(0,2).size() == 1); + ASSERT(matchsRugbyInf(0,3).size() == 1); + ASSERT(matchsRugbyInf(0,4).size() == 1); + ASSERT(matchsRugbyInf(1,1).size() == 1); + ASSERT(matchsRugbyInf(1,2).size() == 1); + ASSERT(matchsRugbyInf(1,3).size() == 1); + ASSERT(matchsRugbyInf(1,4).size() == 1); + ASSERT(matchsRugbyInf(3,1).size() == 1); + ASSERT(matchsRugbyInf(3,2).size() == 1); + ASSERT(matchsRugbyInf(3,3).size() == 2); + ASSERT(matchsRugbyInf(3,4).size() == 3); + ASSERT(matchsRugbyInf(4,2).size() == 1); + ASSERT(matchsRugbyInf(4,4).size() == 3); + ASSERT(matchsRugbyInf(5,1).size() == 1); + ASSERT(matchsRugbyInf(5,2).size() == 2); + ASSERT(matchsRugbyInf(5,3).size() == 3); + ASSERT(matchsRugbyInf(5,4).size() == 4); + ASSERT(matchsRugbyInf(6,1).size() == 1); + ASSERT(matchsRugbyInf(6,2).size() == 2); + ASSERT(matchsRugbyInf(6,3).size() == 4); + ASSERT(matchsRugbyInf(6,4).size() == 7); + ASSERT(matchsRugbyInf(7,1).size() == 2); + ASSERT(matchsRugbyInf(7,2).size() == 3); + ASSERT(matchsRugbyInf(7,3).size() == 5); + ASSERT(matchsRugbyInf(7,4).size() == 8); + ASSERT(matchsRugbyInf(10,4).size() == 17); + cout << "Fin des tests : matchs Rugby inf" << endl; +} + +/** Retourne l'ensemble des configuations possible pour un score donné + * sans tenir compte de l'ordre + * en utilisant la fonction matchsRugbyInf + * @param le score + * @return une collection de vecteurs représentant des matchs + **/ +Collection matchsRugby2(int score) { + cerr << "Erreur : fonction non implantée" << endl; throw 0; // Supprimer cette ligne +} + +/** Test de la fonction matchsRugby2 + **/ +void testMatchsRugby2() { + cout << "Début des tests : matchs Rugby 2" << endl; + ASSERT(matchsRugby2(-5).size() == 0); + ASSERT(matchsRugby2(0).size() == 1); + ASSERT(matchsRugby2(1).size() == 0); + ASSERT(matchsRugby2(2).size() == 0); + ASSERT(matchsRugby2(3).size() == 2); + ASSERT(matchsRugby2(4).size() == 0); + ASSERT(matchsRugby2(5).size() == 1); + ASSERT(matchsRugby2(6).size() == 3); + ASSERT(matchsRugby2(7).size() == 1); + ASSERT(matchsRugby2(8).size() == 2); + ASSERT(matchsRugby2(9).size() == 4); + ASSERT(matchsRugby2(10).size() == 3); + ASSERT(matchsRugby2(50).size() == 106); + ASSERT(matchsRugby2(200).size() == 4820); + cout << "Fin des tests : matchs Rugby 2" << endl; +} + +/******************************************/ +/**** Exercice 4 : Retour aux briques ****/ +/******************************************/ + +/** Retourne l'ensemble des "murs" de taille n formés de briques de taille 1 et 2 + * c'est à dire, les vecteurs de valeurs 1 et 2 dont la somme est n + * @param n, un entier + * @return une Collection de vecteur + **/ +Collection mursFibonacci(int n) { + cerr << "Erreur : fonction non implantée" << endl; throw 0; // Supprimer cette ligne +} + +/** Test de la fonction mursFibonacci + */ +void testMursFibonacci() { + cout << "Début des tests : murs fibonacci" << endl; + ASSERT(mursFibonacci(-5)==Collection()); + ASSERT(mursFibonacci(0).size()==1); + ASSERT(mursFibonacci(1).size()==1); + ASSERT(mursFibonacci(2).size()==2); + ASSERT(mursFibonacci(3).size()==3); + ASSERT(mursFibonacci(4).size()==5); + ASSERT(mursFibonacci(5).size()==8); + ASSERT(mursFibonacci(6).size()==13); + ASSERT(mursFibonacci(7).size()==21); + Collection C = mursFibonacci(2); + vector<int> v1 = {1,1}; + vector<int> v2 = {2}; + ASSERT(v1 == C[0] or v1 == C[1]); + ASSERT(v2 == C[0] or v2 == C[1]); + C = mursFibonacci(7); + v1 = C[2]; + int m1 = 0; + for(unsigned int i =0; i < v1.size(); i++) m1+=v1[i]; + ASSERT(m1 == 7); + v2 = C[20]; + int m2 = 0; + for(unsigned int i =0; i < v2.size(); i++) m2+=v2[i]; + ASSERT(m2 == 7); + cout << "Fin des tests : murs fibonacci" << endl; +} + +/** Retourne le nombre de murs de taille n composés de brique de longueur quelconque + * @param n, un entier + * @return le nombre de murs décrits + **/ +int nbMursToutesBriques(int n) { + cerr << "Erreur : fonction non implantée" << endl; throw 0; // Supprimer cette ligne +} + +/** Test de la fonction nbMursToutesBriques + **/ +void testNbMursToutesBriques() { + cout << "Début des tests : murs toutes briques" << endl; + ASSERT(nbMursToutesBriques(-5) == 0); + ASSERT(nbMursToutesBriques(0) == 1); + ASSERT(nbMursToutesBriques(1) == 1); + ASSERT(nbMursToutesBriques(2) == 2); + ASSERT(nbMursToutesBriques(3) == 4); + ASSERT(nbMursToutesBriques(4) == 8); + ASSERT(nbMursToutesBriques(5) == 16); + ASSERT(nbMursToutesBriques(26) == 33554432); + cout << "Fin des tests : murs toutes briques" << endl; +} + +/** Retourne le nombre de murs de taille n formés d'une succession de briques alternant + * nombres pairs et impairs + * @param n, un entier + * @return le nombre de murs décrits + **/ +int nbMursPairsImpairs(int n) { + cerr << "Erreur : fonction non implantée" << endl; throw 0; // Supprimer cette ligne +} + +/** Test de la fonction nbMursPairsImpairs + **/ +void testNbMursPairsImpairs() { + cout << "Début des tests : murs pairs impairs" << endl; + ASSERT(nbMursPairsImpairs(-3) == 0); + ASSERT(nbMursPairsImpairs(0) == 1); + ASSERT(nbMursPairsImpairs(1) == 1); + ASSERT(nbMursPairsImpairs(2) == 1); + ASSERT(nbMursPairsImpairs(3) == 3); + ASSERT(nbMursPairsImpairs(4) == 2); + ASSERT(nbMursPairsImpairs(5) == 6); + ASSERT(nbMursPairsImpairs(10) == 37); + ASSERT(nbMursPairsImpairs(20) == 1874); + ASSERT(nbMursPairsImpairs(30) == 101393); + cout << "Fin des tests : murs pairs impairs" << endl; +} + +int main() { + // testFibonacciRec(); + // testFibonacciDyn(); + // testRougeBleuRec(); + // testRougeBleuDyn(); + // testNbSeqRugbyRec(); + // testNbSeqRugbyDyn(); + // testAffichesCouples(); + // testAffichesTriplets(); + // afficheCollection(genere1Uplets(3)); + // afficheCollection(genere2Uplets(3)); + // afficheCollection(genere3Uplets(3)); + // testGenere3Uplets(); + // testGenerekUplets(); + // testScoreRugby(); + // afficheCollection(matchsRugby(10)); + // testMatchsRugby(); + // testMatchsRugbyInf(); + // testMatchsRugby2(); + // afficheCollection(mursFibonacci(5)); + // testMursFibonacci(); + // testNbMursToutesBriques(); + // testNbMursPairsImpairs(); +} diff --git a/content/docs/L2_MathInfo/TP3/TP3.pdf b/content/docs/L2_MathInfo/TP3/TP3.pdf new file mode 100644 index 0000000000000000000000000000000000000000..cec0ae51edccdc6c84941ade56e400606a70c542 GIT binary patch literal 151783 zcmb5VL%1+J(5888+qP}J$F^<Twr$(CZQHhOqraJJdiD3BC#%Y$c1b1oQ%{k~3yab+ z(y>C3&M%LwL$MMt5ZD=7Lh<lG(My}ynmL;jFtf3+6a2pmieA*h+S$aBfL_$vz}ZCD z#K_Lr1d5Lj%E{T$#J~p1eX|F9B9VCHWmk_duM|a8<TgWO9o!lN9Aw?-e1A|NSh@1n zqPk>(3GaUHt7p3@Ik8jbXsBGOa@w1IuNO9BTW<W=j@|hA?F<{rZz5PW*#fc*xkgxu zi}PZQeeX|zOv?T3B)GYoImvG;<tidxXNn^1Y~^?>%WwDl<n{DuO<9)0hMRKZ_>~Ti z%$zzUcbkrUk6lm3;tAmI)4+(ojCt1h=_QMv&rxn~ux<#8e}C^60H3=r^b1vQ$j-_8 z0q%FE*B_qe!nP|&Zkr>_4;=pFtcce_v|_RN!`TR(d8wN;S}x>pMju`cHi$iVFf7pT zFJkZcIc$sGj<2sqKHQ}y@p%Jfk*W-VwQ)szu%KI|*omam2RQ!2xm0A$8|d6(<J$&` zL$jE44K^O`e7`T#bUj4tD5VX%&7|JAK5okK!?Y{cah1lk-I!NB(_Vdha|$dY9bmz^ zDk6Ql*qpKiu7kY`33a_ku-@u>od69!e6~I;?y<kYc|NsXKxv2Sy|^*O(XmSuOFCn= zy?L@X()1iL%<Xp-;ui1UFINua?tsm~2O?jrF2w8YTM9BLAjvwvJ0|90m6|(F?h0|W 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GitLab