LeetCode 1713: Minimum Operations to Make a Subsequence Solution

Master LeetCode problem 1713 (Minimum Operations to Make a Subsequence), a hard challenge, with our optimized solutions in Java, C++, and Python. Explore detailed explanations, test your code in our interactive editor, and prepare for coding interviews.

1713. Minimum Operations to Make a Subsequence

Hard

Array Hash Table Binary Search Greedy

Problem Explanation

Explanation

To solve this problem, we can first create a mapping of elements in the target array to their indices. Then, we iterate through the arr array and for each element that is present in the target array, we update the longest increasing subsequence (LIS) ending with that element. Finally, the answer to the problem will be the length of the target array minus the length of the LIS we found.

Algorithm:

Create a mapping of elements in target to their indices.
Initialize an empty array to store the LIS ending with each element in arr.
Iterate through each element in arr.
- If the element is present in the target array, update the LIS ending with that element.
Return the answer as the length of target minus the length of the longest LIS found.

Time Complexity: O(nlogn) where n is the length of the arr array.
Space Complexity: O(n) where n is the length of the arr array.

Solution Code

class Solution {
    public int minOperations(int[] target, int[] arr) {
        Map<Integer, Integer> map = new HashMap<>();
        for (int i = 0; i < target.length; i++) {
            map.put(target[i], i);
        }
        
        List<Integer> lis = new ArrayList<>();
        for (int val : arr) {
            if (map.containsKey(val)) {
                int idx = map.get(val);
                int pos = Collections.binarySearch(lis, idx);
                if (pos < 0) {
                    pos = -(pos + 1);
                }
                if (pos == lis.size()) {
                    lis.add(idx);
                } else {
                    lis.set(pos, idx);
                }
            }
        }
        
        return target.length - lis.size();
    }
}

Try It Yourself

Loading code editor...

Frequently Asked Questions

How to solve LeetCode 1713 (Minimum Operations to Make a Subsequence)?

This page provides optimized solutions for LeetCode problem 1713 (Minimum Operations to Make a Subsequence) in Java, C++, and Python, along with a detailed explanation and an interactive code editor to test your code.

What is the time complexity of LeetCode 1713 (Minimum Operations to Make a Subsequence)?

The time complexity for LeetCode 1713 (Minimum Operations to Make a Subsequence) varies by solution. Check the detailed explanation section for specific complexities in Java, C++, and Python implementations.

Can I run code for LeetCode 1713 on DevExCode?

Yes, DevExCode provides an interactive code editor where you can write, test, and run your code for LeetCode 1713 in Java, C++, or Python.

Back to LeetCode Solutions