java - Finding the computational complexity of nested loops -

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i'm not sure if i'm doing these problems correctly need tell me if i'm wrong.

 ( = 0 ; < n ; ++ )

this n-0 = n assignment , it's o(g(n)) right?

okay know, if want number of assignments , o(g(n)) in these questions:

 sum = 0;  ( = 1 ; < n * n ; j ++)  {     ( j = 1 ; j <= n; j ++ )     {         sum += j;     } }

what did was, sum=0 1 assignment , outer loop n^2 - 1 assignments , inner loop n-1 assignments , sum 1 assignment

therefore, number of assignments 2+(n^3+1) gives o(g(n^3))

in nested loop :

 sum = 0;  ( = 1 ; <= n; ++ )  {     ( j = 1 ; j <= 100 ; j++)      {         ( k = 1 ; k <= n ; k ++ )         {             sum += k;         }     }  }

what did , sum =0 1 assignment first loop 1-n assignments second loop 99 last loop 1-n , sum = 2

so got 3+(1+n^2) assignments give me o(g(n^2))

is there wrong did?

your calculations correct. thing might - it's important whether it's o(g(n^2)) or o(g(99*n^2)). multiplier becomes not-so-important on large-scaled n values, @ small scales - constant factor of 99x times iterations (when not optimized compiler) might important.


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