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September 21, 2012 20:36
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Complejidad de algoritmos O(n)
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// 1) Calcular el tiempo de ejecución de cada ejercicio. | |
// a) | |
j=j-2; //oe 2 | |
i=j*12; //oe 2 | |
printf("%d\n",i); //oe 0 | |
// O(n) = 4 | |
// b) | |
for (i = 0; i < n; i++) | |
printf("%d\n",i); | |
//cambiar a while | |
i=0; // oe 1 | |
while (i<n) { //oe 1 | |
printf("%d\n", i); // oe 0 | |
i++; // i=i+1 oe 2 | |
} | |
//usando while = T(A) + n_iter * (T(B)+T(A)) | |
// 1 + n * (2+1) => O(n) = 3n+1 | |
//c) | |
for (i = 0; i < 10; i++) { | |
for (j = 0; j < n; j++) | |
printf("%d\n",i+j); | |
} | |
//cambiamos a while | |
i=0; | |
while (i<10) { // oe 1 | |
// begin B | |
j=0; // oe 1 | |
while (j<n) { // oe 1 | |
printf("%d\n",i+j); // oe 1 | |
j++; // oe 2 | |
} // 1 + (n-j)_iter * (1+3) => B = 4(n-j)+1 | |
// end B | |
i++; // oe 2 | |
} // 1 + 10*(1+4(n-j)+1) | |
// O(n,j) = 40n-40j+21 | |
/*2) Desarrollar un algoritmo para calcular la media de un vector de n elementos. | |
Calcular luego, su tiempo de ejecución.*/ | |
float promedio(int vec[], int n){ | |
int promedio = 0; // oe 1 | |
int i; | |
i = 0; // oe 1 | |
while(i<n){ // oe 1 | |
promedio = promedio + vec[i]; // oe 3 | |
i++; // oe 2 | |
} | |
return promedio/n; // oe 1 | |
} | |
// O(n) = 2+1+ n(5+1) +1 = 3+n6+1 | |
//rta: O(n) = 6n+4 | |
/* | |
3) Desarrollar un algoritmo para calcular el elemento máximo de un vector y luego | |
calcular su tiempo de ejecución. | |
*/ | |
int maximo(int ls[], int n){ | |
int max; | |
max = ls[0]; // oe 2 | |
int i=1; // oe 1 | |
while(i<n){ // oe 1 | |
if (ls[i]>max) // oe 2 | |
max = ls[i]; // oe 2 | |
} | |
return max; | |
} | |
// O(n) = 3+1+(n-1)*(4+1) = 4+n5-5 | |
// rta: O(n) = 5n-1 | |
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No tienes uno de hecho para Java?