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juanjo12x

Lab2_Algoritmia_P5_Binomial_Coefficient

Apr 13th, 2014
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  1. #include<stdio.h>
  2.  
  3. // Retorna el minimo de 2 enteros
  4. int min(int a, int b);
  5.  
  6. // Retorna el valor del coeficiente binomial C(n, k)
  7. int binomialCoeff(int n, int k)
  8. {
  9.     int C[n+1][k+1];
  10.     int i, j;
  11.  
  12.     // Usamos la estrategia bottom up
  13.     for (i = 0; i <= n; i++)
  14.     {
  15.         for (j = 0; j <= min(i, k); j++)
  16.         {
  17.             // Casos base
  18.             if (j == 0 || j == i)
  19.                 C[i][j] = 1;
  20.  
  21.             // Usando los valores previamente calculados
  22.             else
  23.                 C[i][j] = C[i-1][j-1] + C[i-1][j];
  24.         }
  25.     }
  26.  
  27.     return C[n][k];
  28. }
  29.  
  30. //Funcion minimo
  31. int min(int a, int b)
  32. {
  33.     return (a<b)? a: b;
  34. }
  35.  
  36. int main()
  37. {
  38.     int n = 5, k = 2;
  39.     printf ("Valor de C(%d, %d) is %d ", n, k, binomialCoeff(n, k) );
  40.     return 0;
  41. }
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