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How do you find the length of the longest Subarray?
Move along the input array from the start to the end. For every index, update the value of sum = sum + array[i]. Check every index, if the current sum is present in the hash map or not. If present, update the value of max_len to a maximum difference of two indices (current index and index in the hash-map) and max_len.
Where is the largest Subarray?
Find the largest subarray formed by consecutive integers
- The difference between the maximum and minimum element in it should be exactly equal to the subarray’s length minus one.
- All elements in the array should be distinct (we can check this by inserting the elements in a set or using a visited array).
How do you find if there is a Subarray with sum equal to zero?
Algorithm
- Declare a Set.
- Initialize sum to 0.
- Traverse the array, while i < n (length of the array). Add sum to arr[i] and store it to sum. Check if any of the following conditions is true: sum==0 / arr[ i ]==0 / if Set contains the value of sum. if true, then return true. Add the sum to the Set.
- Return false.
How do you find if there is a sub array with sum equal to zero Java?
The time complexity of this method is O(n2). We can also use hashing. The idea is to iterate through the array and for every element arr[i], calculate the sum of elements from 0 to i (this can simply be done as sum += arr[i]). If the current sum has been seen before, then there is a zero-sum array.
How do you find the largest Subarray given the sum?
Efficient Approach: Following are the steps:
- Initialize sum = 0 and maxLen = 0.
- Create a hash table having (sum, index) tuples.
- For i = 0 to n-1, perform the following steps: Accumulate arr[i] to sum. If sum == k, update maxLen = i+1. Check whether sum is present in the hash table or not.
- Return maxLen.
How does Kadanes algorithm work?
Because of the way this algorithm uses optimal substructures (the maximum subarray ending at each position is calculated in a simple way from a related but smaller and overlapping subproblem: the maximum subarray ending at the previous position) this algorithm can be viewed as a simple example of dynamic programming.
How do you find the sum of a Subarray?
Algorithm:
- Traverse the array from start to end.
- From every index start another loop from i to the end of array to get all subarray starting from i, keep a variable sum to calculate the sum.
- For every index in inner loop update sum = sum + array[j]
- If the sum is equal to the given sum then print the subarray.
Is Subarray and subset same?
Subarray: contiguous sequence in an array i.e. Subsequence: Need not to be contiguous, but maintains order i.e. Subset: Same as subsequence except it has empty set i.e.