Q&A

How do you find the number of Subarrays?

How do you find the number of Subarrays?

The number of all possible subarrays of an array of size N is N * (N + 1)/2.

How do you find an odd sum?

The total of any set of sequential odd numbers beginning with 1 is always equal to the square of the number of digits, added together. If 1,3,5,7,9,11,…, (2n-1) are the odd numbers, then; Sum of first odd number = 1. Sum of first two odd numbers = 1 + 3 = 4 (4 = 2 x 2).

How do you find the sum of all Subarrays?

Algorithm:

  1. Traverse the array from start to end.
  2. 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.
  3. For every index in inner loop update sum = sum + array[j]
  4. If the sum is equal to the given sum then print the subarray.
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How do I find all the subarrays of an array?

Approach:

  1. Use three nested loops.
  2. Outer loops will decide the starting point of a sub-array, call it as startPoint.
  3. First inner loops will decide the group size (sub-array size).
  4. The most inner loop will actually print the sub-array by iterating the given array from startPoint and print the next grps elements.

Where is all Subarrays in size k?

Sum of all subarrays of size K

  1. Input: arr[] = {1, 2, 3, 4, 5, 6}, K = 3.
  2. Output: 6 9 12 15.
  3. Explanation: All subarrays of size k and their sum: Subarray 1: {1, 2, 3} = 1 + 2 + 3 = 6. Subarray 2: {2, 3, 4} = 2 + 3 + 4 = 9. Subarray 3: {3, 4, 5} = 3 + 4 + 5 = 12. Subarray 4: {4, 5, 6} = 4 + 5 + 6 = 15.

How many Subarrays are in an array Java?

A set of size ‘n’ can have a total of [n*(n+1)] / 2 subsets. Let the array be [1,2,3]. Subarrays are contiguous elements i.e 1,2,3,12,23,123 here. For n =3 , total number of subsets / subarrays are 6 ( [3* 4] / 2).

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How do you find the number of odd numbers?

If N is odd,

  1. If L or R is odd, then the count of odd number will be N/2 + 1 and even numbers = N – countofOdd.
  2. Else, count of odd numbers will be N/2 and even numbers = N – countofOdd.

How do I generate Subarrays in size k?

How to find the number of subarrays in an array?

Another efficient approach is to first find the number of subarrays starting at index 0 and having an odd sum. Then traverse the array and update the number of subarrays starting at index i and having an odd sum. Below is the implementation of the above approach : Attention reader!

How do you count continuous odd numbers in an array?

Thus, for every K continuous odd numbers in the array, the count of sub-arrays with the odd product increases by K* (K+1)/2. One way of counting continuous odd numbers is to calculate the difference between the indexes of every two consecutive even numbers and subtract it by 1.

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How do you find the odd product of an array?

Naive Approach: A simple solution is to calculate the product of every sub-array and check whether it is odd or not and calculate the count accordingly. Efficient Approach: An odd product is possible only by the product of odd numbers.