System Engineer

You have been given two Strings “STR1” and “STR2” of characters. Your task is to find the length of the longest common subsequence.

A String ‘a’ is a subsequence of a String ‘b’ if ‘a’ can be obtained from ‘b’ by deletion of several (possibly, zero or all) characters. A common subsequence of two Strings is a subsequence that is common to both Strings.

You are given an array ‘ARR’ of size ‘N’ and an integer ‘M’. You have to split the array into ‘M’ non-overlapping, non-empty subarrays such that the maximum of all the subarray’s sum is the minimum possible. Your task is to return the minimum of the maximum of all the subarray’s sum.

For example:

You are given ‘ARR’ = [7, 2, 6, 10, 8] and ‘M’ = 2. We split the array as [ 7, 2, 6] and [10, 8], the maximum of 7 + 2 + 6  and 10 + 8 is 18, which is the minimum possible.

You are given an array/list 'ARR' of size 'N'. You task is to find if there exists a triplet (i, j, k) such that 0 < i , i + 1 < j , j + 1 < k and k < 'N' - 1 and the sum of the subarrays [0, i - 1],[i + 1, j - 1], [j + 1, k - 1], [k + 1, N - 1] are equal.

An array c is a subarray of array d if c can be obtained from d by deletion of several elements from the beginning and several elements from the end.

Example:

let 'ARR' = [1, 2, 3] then the possible subarrays of 'ARR' will be - {1}, {2}, {3}, {1, 2}, {2, 3}, {1, 2, 3}.

Note: Assume That the Array has Zero-based indexing.

A message containing letters from A-Z can be encoded into numbers using the following mapping:

'A' -> "1"
'B' -> "2"
...
'Z' -> "26"

To decode an encoded message, all the digits must be grouped then mapped back into letters using the reverse of the mapping above (there may be multiple ways).

Given a string ‘S’ containing only digits, return the number of ways to decode it.

Example:

Input: ‘S’ = "11106"

Output: 2


The possible ways are:-
(1 1 10 6),
(11 10 6)

Note that the grouping (1 11 06) is invalid because "06" cannot be mapped into 'F' since "6" is different from "06".  

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)}.