Array ( [0] => [1] => questions [2] => Arrays [3] => Trapping-Rain------------- ) Arrays | Trapping Rain | THE INQUISITIVE






Trapping Rain

LEVEL:Beginner

Description

Given an array of integers. You have to find the how much quantity of water can store in between the elements.

Input Format

First line contains the size of the first array. Next line contains the m integers separated by the spaces.

Output Format

Print the amount of quantity can store.


Example 1:

Input
3
2 0 2
Output
2
Example 2:

Input
5
3 0 2 0 2
Output
7
Example 3:

Input
12
0 1 0 2 1 0 1 3 2 1 2 1
Output
6

oops

Login to see Discussion




Approach

Approach1:

Step-i) Iterate through the array and find non-zero elements.
Step-ii) Take no. of zeroes between 2 non-zero elements as length of the tank.
Step-iii) Height can be taken as the minimum value of 2 adjacent non-zero elements.
Step-iv) Multiply height and length for every 2 adjacent elements and sum up them.
Step-v) The final sum is the required answer.

Time Complexity: O(n)
Space Complexity: O(n)


Note :

Let us know if you can come up with a better approach, mail us at support@theinquisitive.in Your approach will be reviewed and posted with credits to you.

oops

Login to see Solution






     Recommended Questions      

Topic: Arrays

Beginner

1. Arithmetic Progression2. Geometric Progression3. Harmonic Progression4. No of triangles 5. Area of Polygon6. Trailing Zeros7. Min Platforms 8. Trapping Rain 9. Jump numbers10. Segregation of 0’s and 1’s11. Two SUM12. Triplet sum 13. Diagonal Sum14. Addition of two matrixes15. Subtraction of two matrixes16. Multiplication of two matrixes17. Transpose of given array18. Spiral Matrix19. Most Frequent Element20. Majority Element 21. Max difference 22. Odd occurring23. Second Largest and Second Smallest24. Next greater number25. Count Unique Elements26. Common elements 27. Removing Duplicates28. Balanced Array29. Rotating Array by k times30. Reverse Array31. Wave Array32. Merge arrays 33. Constraint Sort34. Find element in Sorted rotated array35. Sub Array Sum36. Largest subarray of 0’s and 1’s 37. K-Sub Array38. Max subarray sum39. Contiguous Square Sum