SDE - 1

You live in a Ninja town which is in the form of a N * M grid. In this town, people travel from one place to another by jumping over the buildings which are present in each cell of the grid. It is Christmas eve, and Santa wants to give gifts and chocolates to the kids who live in the building which is present at the cell (N - 1, M - 1). Initially, Santa is present on cell (0, 0). Since Santa is in a hurry, help him find a path from starting point to the endpoint with the least amount of time.

The Santa may go only from one building to any of its adjacent buildings which is present either to the right or to the bottom or bottom right cell i.e. if the current position is (x, y), he may go to (x + 1, y + 1) or (x + 1, y) or (x, y + 1) given that the new coordinates are in the grid. The time taken to reach from one building to another is equal to the absolute difference between the heights of buildings.

Note:

1. The heights of the buildings are positive.
2. Santa starts from the cell (0, 0) and he has to reach the building (N - 1, M - 1).
3. Santa cannot leave the grid at any point of time.

You have been given a matrix of ‘N’ rows and ‘M’ columns filled up with integers where every row is sorted in non-decreasing order. Your task is to return all the elements of the given matrix in non-decreasing order.

Given an integer ‘N’ representing the number of pairs of parentheses, Find all the possible combinations of balanced parentheses with the given number of pairs of parentheses.

Note :

Conditions for valid parentheses:
1. All open brackets must be closed by the closing brackets.

2. Open brackets must be closed in the correct order.

For Example :

()()()() is a valid parentheses.
)()()( is not a valid parentheses.

Ninja has been given a program to do basic string compression. For a character that is consecutively repeated more than once, he needs to replace the consecutive duplicate occurrences with the count of repetitions.

Example:

If a string has 'x' repeated 5 times, replace this "xxxxx" with "x5".

The string is compressed only when the repeated character count is more than 1.

Note :

The consecutive count of every character in the input string is less than or equal to 9.

Bob went to his favourite bakery to buy some pastries. After picking up his favourite pastries his total bill was P cents. Bob lives in Berland where all the money is in the form of coins with denominations {1, 2, 5, 10, 20, 50, 100, 500, 1000}.

Bob is not very good at maths and thinks fewer coins mean less money and he will be happy if he gives minimum number of coins to the shopkeeper. Help Bob to find the minimum number of coins that sums to P cents (assume that Bob has an infinite number of coins of all denominations).

You have been given a long type array/list 'arr’ of size 'n’.

It represents an elevation map wherein 'arr[i]’ denotes the elevation of the 'ith' bar.

Print the total amount of rainwater that can be trapped in these elevations.

Note :

The width of each bar is the same and is equal to 1.

Example:

Input: ‘n’ = 6, ‘arr’ = [3, 0, 0, 2, 0, 4].

Output: 10

Explanation: Refer to the image for better comprehension:

Note :

You don't need to print anything. It has already been taken care of. Just implement the given function.