Analyze the following codes for Time and space complexity. Determine Big O for the following code fragments in the average case. Assume that all variables are of type int. (j)   sum1 = 0; for (k=1; k<=n; k*=2)  { for (j=1; j<=n; j++)  { sum1++; }  }  sum2 = 0; for (k=1; k<=n; k*=2)  { for (j=1; j<=k; j++)  { sum2++; }  }

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