SDE - Intern

Given ‘a’ balls of type ‘A’, ‘b’ balls of type ‘B’ and ‘c’ balls of type ‘C’. You need to find the total number of ways to arrange the balls in a straight line such that adjacent balls are of different types.

In other words, find the total ways to arrange the given balls in such a way that no two balls of the same type are adjacent.

For Example :

Suppose we have 2 balls of type ‘A’, 1 ball of type ‘B’ and 1 ball of type ‘C’, following are the ways to arrange them in the required fashion. 
ABCA
ABAC 
ACBA 
ACAB 
BACA 
CABA 
Hence, there is a total of six ways.

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 of n integers (a1, a2,....,an), you need to find if the array contains a pythagorean triplet or not.

An array is said to have a pythagorean triplet if there exists three integers x,y and z in the array such that x^2 + y^2 = z^2.

Note

1. The integers x,y and z might not be distinct , but they should be present at different locations in the array i.e if a[i] = x, a[j] = y and a[k] = z, then i,j and k should be pairwise distinct.
2. The integers a,b and c can be present in any order in the given array.