SDE - 1

You have been given a number of stairs. Initially, you are at the 0th stair, and you need to reach the Nth stair.

Each time, you can climb either one step or two steps.

You are supposed to return the number of distinct ways you can climb from the 0th step to the Nth step.

Note:

Note: Since the number of ways can be very large, return the answer modulo 1000000007.

Example :

N=3

We can climb one step at a time i.e. {(0, 1) ,(1, 2),(2,3)} or we can climb the first two-step and then one step i.e. {(0,2),(1, 3)} or we can climb first one step and then two step i.e. {(0,1), (1,3)}.

You have been given a Singly Linked List of integers, determine if it forms a cycle or not. If there is a cycle, remove the cycle and return the list.

A cycle occurs when a node's ‘next’ points back to a previous node in the list.

You are given a Singly Linked List of integers. Sort the Linked List using merge sort.

Merge Sort is a Divide and Conquer algorithm. It divides the input into two halves, calls itself for the two halves, and then merges the two sorted halves. The merge() function is used for merging two halves. The merge(arr, L, M, R) is a key process that assumes that arr[L..M] and arr[M + 1...R] are sorted and merges the two sorted subarrays into one.

You are given roots of two binary trees, ‘ROOT1’ and ‘ROOT2’. You need to merge the two trees into a new binary tree. The merge rule is that if the two nodes overlap, then the sum of the two nodes values up as the new value of the merged node. Otherwise, the NOT null node will be used as the node of the new tree. Your task is to return the merged tree i.e. head of the new tree.

Note:

The merging process must start from the root nodes of both trees.

For example,

‘ROOT1’ = [1, 2, -1, -1, 3, -1, -1]  ‘ROOT2’ = [3, -1, -1].
The final tree would look like : [3, 2, -1, -1, 3, -1, -1], and the output will be printed in a pre-order way: 4 2 3.

You are given a Singly Linked List of integers. Return true if it has a cycle, else return false.

A cycle occurs when a node's next points back to a previous node in the list.

Example:

In the given linked list, there is a cycle, hence we return true.

You are given a string ‘S’ of size ‘N’ where ’S’ contains only characters ‘0’ and ‘1’. Your task is to divide ‘S’ into ‘K’ contiguous substrings such that the following conditions hold true :

1. Let ‘X’ be a binary number formed by reading a substring of ‘S’ from left to right.
2. ‘X’ must not contain leading zeroes.
3. The decimal equivalent of ‘X’ must be a power of 5.
4. K must be the minimum possible.

Note :

If no such ‘K’ possible, then you need to return -1.