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Solution: Nested Loop with Multiplication (Pro)

Solution: Nested Loop with Multiplication (Pro)

This review provides a detailed analysis of the different ways to solve the Nested Loop with Multiplication (Pro) challenge.

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Solution #

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int main(){
int n =10; // O(1)
int sum = 0; // O(1)
int j = 1; // O(1)
float pie = 3.14; // O(1)
for (int i = 0; i < n; i++){ // O(n)
cout << pie << endl; // O(n)
while (j < i){ // O(log2(n))
sum+=1; // O(log2(n))
j*=2; // O(log2(n))
}
}
cout << sum << endl; // O(1)
}

The outer loop in the main function has n iterations as it iterates on i from 0 to n-1. If the condition j < i is true, the inner loop is entered. However, immediately, j is doubled. Note that j is not reset to 1 in the code since the j is immediately doubled, therefore inner while loop will run O(log2(n) ...