Podcast
Questions and Answers
In the context of algorithms analysis, what is the running time defined as?
In the context of algorithms analysis, what is the running time defined as?
- The execution time of each individual instruction
- The number of loops within the algorithm
- The total memory space required for the algorithm
- The number of instructions executed before termination (correct)
Considering the induction steps for proof by induction, which step involves checking when k + 1 equals to (k + 1)?
Considering the induction steps for proof by induction, which step involves checking when k + 1 equals to (k + 1)?
- The summation step
- The inductive step (correct)
- The basis step
- The hypothesis step
How many memory locations are needed in the high-level example where x=y is executed?
How many memory locations are needed in the high-level example where x=y is executed?
- 2 (correct)
- 1
- 4
- 3
In Example 1, if Sa is executed for i = 1 to n and then for j = 1 to n, how many times will Sa be executed?
In Example 1, if Sa is executed for i = 1 to n and then for j = 1 to n, how many times will Sa be executed?
In Example 2, considering the algorithm where Sa is executed while n > 1 and n=n/2, how many times will Sa be executed?
In Example 2, considering the algorithm where Sa is executed while n > 1 and n=n/2, how many times will Sa be executed?
What does the order of growth in algorithm analysis primarily express?
What does the order of growth in algorithm analysis primarily express?
What is the value of $\log_{10}2$?
What is the value of $\log_{10}2$?
If $n = 1,000,000$, what is the value of $100 * 10^6 * \log_{10}10^6$ in microseconds?
If $n = 1,000,000$, what is the value of $100 * 10^6 * \log_{10}10^6$ in microseconds?
For what value of $n$ is $2^n > 100n^2$ for the first time?
For what value of $n$ is $2^n > 100n^2$ for the first time?
If Algorithm B has a time complexity of $g(n) = 10^{12}$ µs, what is the ratio of $g(n)$ to $f(n)$ for $n = 1,000,000$?
If Algorithm B has a time complexity of $g(n) = 10^{12}$ µs, what is the ratio of $g(n)$ to $f(n)$ for $n = 1,000,000$?
Based on the table, for what value of $n$ is $2^n \approx 100n^2$?
Based on the table, for what value of $n$ is $2^n \approx 100n^2$?
What is the value of $\log_2 128$?
What is the value of $\log_2 128$?
What is the value of $\sum_{k=1}^{10} k$?
What is the value of $\sum_{k=1}^{10} k$?
What is the value of $\sum_{i=1}^{8} (5i + 8i + 1)$?
What is the value of $\sum_{i=1}^{8} (5i + 8i + 1)$?
Which of the following is a property of logarithms?
Which of the following is a property of logarithms?
What is the value of $1 + \sum_{k=1}^{49} k$?
What is the value of $1 + \sum_{k=1}^{49} k$?
What is the value of $\sum_{i=1}^{10} (3i - 4)$?
What is the value of $\sum_{i=1}^{10} (3i - 4)$?
