SDE - 1

Ninja and his friend are playing a game. They are having ‘N’ piles and each pile contains ‘A[i]’ amount of stones in it. Ninja will make the first move.

In each move, a player can choose any pile and remove any number of stones ( at least one ) from that pile. The player who cannot make a move loses the game.

Assuming both players play optimally, output 1 if Ninja wins the game and 0 if Ninja loses the game.

Example :

N = 3
A = [ 3, 4, 5 ]

Explanation : 

One of the optimal ways to play the game is : 

Ninja removes 3 stones from the first pile : [ 0, 4, 5 ].
Friend removes 3 stones from the second pile : [ 0, 1, 5 ].
Ninja removes 3 stones from the third pile : [ 0, 1, 1 ].
Friend removes 1 stone from the second pile : [ 0, 0, 1 ].
Ninja removes 1 stones from the third pile : [ 0, 0, 0 ].

Thus Ninja wins the game here.

Given two strings S and T consisting of lower case English letters. The task is to count the distinct occurrences of T in S as a subsequence.

A subsequence is a sequence generated from a string after deleting some or no characters of the string without changing the order of the remaining string characters. (i.e. “ace” is a subsequence of “abcde” while “aec” is not).

For example, for the strings S = “banana” and T=”ban”, output is 3 as T appears in S as below three subsequences.

[ban], [ba n], [b an ]

Given a singly linked list of integers. Your task is to return the head of the reversed linked list.

For example:

The given linked list is 1 -> 2 -> 3 -> 4-> NULL. Then the reverse linked list is 4 -> 3 -> 2 -> 1 -> NULL and the head of the reversed linked list will be 4.

Follow Up :

Can you solve this problem in O(N) time and O(1) space complexity?

You have been given two strings ‘STR1’ and ‘STR2’.

Your task is to find if ‘STR1’ is a subsequence of ‘STR2’.

A subsequence of a string is a new string that can be derived from the original string by deleting some characters (can be none) without changing the relative ordering of other characters.

Example:

‘ACE’ is a subsequence of ‘ABCDE’ because ‘ACE’ can be formed by deleting ‘B’ and ‘D’ without changing the relative order of characters. ‘ADB’ is not a subsequence of ‘ABCDE’ because we can get ‘ABD’ from ‘ABCDE’ but not ‘ADB’ and in ‘ADB’ relative order of ‘B’ and ‘D’ are different from original strings.

Note:

1.Strings ‘STR1’ and ‘STR2’ consists only of English uppercases.

2.Length of string ‘STR2’ will always be greater than or equal to the length of string ‘STR1’.

Example:

For example, the given ‘STR1’ is ‘BAE’ and ‘STR2’ is ‘ABADE’. 
String ‘STR1’ is a subsequence of string ‘STR2’ because ‘BAE’ can be formed by deleting ‘A’ and ‘D’ from ‘ABADE’ and the relative ordering of the characters of the string ‘ABADE’ persists.

Where do we use DBMS?
Some SQL queries

You are given an N x M integer matrix. Your task is to modify this matrix in place so that if any cell contains the value 0, then all cells in the same row and column as that cell should also be set to 0.

Requirements:

• If a cell in the matrix has the value 0, set all other cells in that cell's row and column to 0.
• You should perform this modification in place (without using additional matrices).

You must do it in place.

For Example:

If the given grid is this:
[7, 19, 3]
[4, 21, 0]

Then the modified grid will be:
[7, 19, 0]
[0, 0,  0]

Given a 2-dimensional matrix of size ‘N’ x ‘M’ and an integer K. Find the size of the largest square sub-matrix whose sum is less than or equal to K. The size of a matrix is the product of rows and columns in it.

A sub-matrix is a matrix obtained from the given matrix by deletion of several (possibly, zero or all) rows/columns from the beginning and several (possibly, zero or all) rows/columns from the end. A square matrix is a matrix which has the same number of rows and columns.

For Example

Note

If there is no square sub-matrix with a sum less than or equal to K, then return 0.

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What is the difference in encapsulation and abstraction?
How do you apply abstraction with an example and code?
Some more problems from abstraction in deep.

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