Q. Suppose you are given infinite coins of N denominations v1, v2, v3,…..,vn and a sum S. The coin change problem is to find the minimum number of coins required to get the sum S. What is the space complexity of a dynamic programming implementation used to solve the coin change problem?

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Q. You are given infinite coins of denominations 1, 3, 4. What is the total number of ways in which a sum of 7 can be achieved using these coins if the order of the coins is not important?

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Q. You are given infinite coins of denominations 1, 3, 4. What is the minimum number of coins required to achieve a sum of 7?

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Q. You are given infinite coins of denominations 5, 7, 9. Which of the following sum CANNOT be achieved using these coins?

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Q. You are given infinite coins of denominations 3, 5, 7. Which of the following sum CAN be achieved using these coins?

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Q. Given a one-dimensional array of integers, you have to find a sub-array with maximum sum. This is the maximum sub-array sum problem. Which of these methods can be used to solve the problem?

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Q. Find the maximum sub-array sum for the given elements.
{2, -1, 3, -4, 1, -2, -1, 5, -4}

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Q. Find the maximum sub-array sum for the given elements.
{-2, -1, -3, -4, -1, -2, -1, -5, -4}

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Q. What is the time complexity of the naive method used to find the maximum sub-array sum in an array containing n elements?

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Q. What is the space complexity of the naive method used to find the maximum sub-array sum in an array containing n elements?

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Q. What is the time complexity of the divide and conquer algorithm used to find the maximum sub-array sum?

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Q. What is the space complexity of the divide and conquer algorithm used to find the maximum sub-array sum?

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Q. Find the maximum sub-array sum for the following array:
{3, 6, 7, 9, 3, 8}

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Q. Kadane’s algorithm is used to find ____________

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Q. Kadane’s algorithm uses which of the following techniques?

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Q. For which of the following inputs would Kadane’s algorithm produce the CORRECT output?

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Q. For which of the following inputs would Kadane’s algorithm produce a WRONG output?

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Q. What is the time complexity of Kadane’s algorithm?

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Q. What is the space complexity of Kadane’s algorithm?

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Q. The longest increasing subsequence problem is a problem to find the length of a subsequence from a sequence of array elements such that the subsequence is sorted in increasing order and it’s length is maximum. This problem can be solved using __________

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