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4. Find the running time in terms of the variable for the following code. Show your answer in Big-O notation. Show the individual running time

4. Find the running time in terms of the variable for the following code. Show your answer in Big-O notation. Show the individual running time for each loop and the overall running time. Explain why and show your work (dont just say because of the rule. Prove it!) (12 points) for (int i = 0; i < n + 100; i++) { for (int j = 0; j < i * n ; ++j) { sum = sum + j; } for (int k = 0; k < n + n + n; ++k) { c[k] = c[k] + sum; } }

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