SDE - 1

You have been given three numbers ‘X’, ’Y’ and ‘Z’. You have to find the sum of all the numbers formed by the combination of the digits 3, 4 and 5. You can use 3 at most ‘X’ times, 4 at most ‘Y’ times, and 5 at most ‘Z’ times as a digit in numbers.

Note:

 Output the sum modulo 10 ^ 9 + 7.

For example :

If ‘X’ = 1, ‘Y’ = 1 and ‘Z’ = 0 then the output will be 84.

Explanation : 3 + 4 + 34 + 43 = 84

You have been given a Binary Tree of integers. You are supposed to return the level order traversal of the given tree.

For example:

For the given binary tree

The level order traversal will be {1,2,3,4,5,6,7}.

You have been given a directed weighted graph of ‘N’ vertices labeled from 1 to 'N' and ‘M’ edges. Each edge connecting two nodes 'u' and 'v' has a weight 'w' denoting the distance between them.

Your task is to find the length of the shortest path between the ‘src’ and ‘dest’ vertex given to you in the graph using Flloyd warshall’s algorithm. The graph may contain negatively weighted edges.

Example :

3 3 1 3
1 2 2
1 3 2
2 3 -1
In the above graph, the length of the shortest path between vertex 1 and vertex 3 is 1->2->3 with a cost of 2 - 1 = 1.

Note :

It's guaranteed that the graph doesn't contain self-loops and multiple edges. Also the graph does not contain negative weight cycles.

Implement a Stack Data Structure specifically to store integer data using two Queues.

There should be two data members, both being Queues to store the data internally. You may use the inbuilt Queue.

Implement the following public functions :

1. Constructor:
It initializes the data members(queues) as required.

2. push(data) :
This function should take one argument of type integer. It pushes the element into the stack and returns nothing.

3. pop() :
It pops the element from the top of the stack and, in turn, returns the element being popped or deleted. In case the stack is empty, it returns -1.

4. top :
It returns the element being kept at the top of the stack. In case the stack is empty, it returns -1.

5. size() :
It returns the size of the stack at any given instance of time.

6. isEmpty() :
It returns a boolean value indicating whether the stack is empty or not.

Operations Performed on the Stack:

Query-1(Denoted by an integer 1): Pushes an integer data to the stack. (push function)

Query-2(Denoted by an integer 2): Pops the data kept at the top of the stack and returns it to the caller. (pop function)

Query-3(Denoted by an integer 3): Fetches and returns the data being kept at the top of the stack but doesn't remove it, unlike the pop function. (top function)

Query-4(Denoted by an integer 4): Returns the current size of the stack. (size function)

Query-5(Denoted by an integer 5): Returns a boolean value denoting whether the stack is empty or not. (isEmpty function)

Example

Operations: 
1 5
1 10
2
3
4

Enqueue operation 1 5: We insert 5 at the back of the queue.
  Queue: [5]

Enqueue operation 1 10: We insert 10 at the back of the queue.
  Queue: [5, 10]

Dequeue operation 2: We remove the element from the front of the queue, which is 5, and print it.
  Output: 5
  Queue: [10]

Peek operation 3: We return the element present at the front of the queue, which is 10, without removing it.
  Output: 10
  Queue: [10]

IsEmpty operation 4: We check if the queue is empty.
  Output: False
  Queue: [10]

You have been given a permutation of ‘N’ integers. A sequence of ‘N’ integers is called a permutation if it contains all integers from 1 to ‘N’ exactly once. Your task is to rearrange the numbers and generate the lexicographically next greater permutation.

To determine which of the two permutations is lexicographically smaller, we compare their first elements of both permutations. If they are equal — compare the second, and so on. If we have two permutations X and Y, then X is lexicographically smaller if X[i] < Y[i], where ‘i’ is the first index in which the permutations X and Y differ.

For example, [2, 1, 3, 4] is lexicographically smaller than [2, 1, 4, 3].

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