1. Consider the following two loops: / Loop A for (i - 1; i n; i+4) for (j - 1; j« 10000; j++) sum - sum + j: / Loop B for (i - 1; i n; i++) for (j - 1; j n; j++) sum - sum + j; What is the Big O of each loop? Design and implement an experiment to find a value of n for which Loop B is faster than Loop A. 2. Repeat the previous project, but use the following for Loop B: / Loop B for (i - 1; i n; i++) for (j - 1; j « n; j++) for (k - 1; k j; k++) sum = sum + k;

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