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Given a range of numbers between start and end. The goal is to find the count of numbers that have the first digit equal to the last digit and fall in the range [ first, last ].All single digit numbers will be counted if they lie in the range.Let us understand with examples.For ExampleInput - start = 100, end = 200Output - Count of Numbers in Range where first digit is equal to last digit of the number are: 10Explanation - The numbers will be:101, 121, 131, 141, 151, 161, 171, 181 and 191.Input - start = 1, end = ... Read More
Given a positive number as the number of digits and a sum. The goal is to find all d digit numbers that have sum of digits equal to the input sum. The numbers having leading zeros will not be considered as d digit numbers.The ranges are digits between 1 to 100 and sum between 1 and 500.Let us understand with examples.For ExampleInput - digits = 3, digi_sum = 3Output - Count of n digit numbers whose sum of digits equals to given sum are: 6Explanation - Three digit numbers having sum of digits as 3 are:102, 111, 120, 201, 210, ... Read More
Given a long variable containing a positive number as input. The goal is to find the count of alphabets whose ASCII value digits are present in the digits of the number.Pick any two digits from the number and arrange them in a manner such that they form an ASCII value of English alphabets. ASCII values of A-Z start from 65 to 90 and ASCII values of a-z start from 97 to 122.Total numbers that are to be picked will be 26+26=52.Let us understand with examples.For ExampleInput - N_digits = 163465Output - Count of alphabets whose ASCII values can be formed with ... Read More
Given a positive number N as input. The goal is to find the number of ways in which we can express N as a sum of 1s, 3s and 4s only. For example, if N is 4 then it can be represented as 1+1+1+1, 3+1, 1+3, 4 so the number of ways will be 4.Let us understand with examples.For ExampleInput - N=5Output - Count of different ways to express N as the sum of 1, 3 and 4 are: 6Explanation - 5 can be represented as:1+1+1+1+11+3+13+1+11+1+34+11+4Input - N=6Output - Count of different ways to express N as the sum of ... Read More
Given a matrix [ ][ ] having dimensions as row x col. The goal is to find the count of cells of matrix that meet the given condition:Value of cell matrix [i][j] + no. of adjacent cells to it = a Fibonacci numberNumbers in Fibonacci series:- 0, 1, 1, 2, 3, 5, 8, 13, 21, 43 …..Let us understand with examples.For ExampleInput - matrix[row][col] = {{1, 4, 1}, {2, 0, 1}, {5, 1, 1}Output - Count of cells in a matrix which give a Fibonacci number when the count of adjacent cells is added are: 4Explanation 0 1 ... Read More
Given three numbers 'a', 'b' and 'c' as input. The goal is to find the count/value of 'a', 'b' and 'c' after n seconds such that the rate of reproductions are:-Every a changes to b after every 2 secondsEvery b changes to c after every 5 secondsEvery c changes to 2 a after every 12 seconds.Let us understand with examples.For ExampleInput - n_seconds = 62 a = 1 b = 1 c = 1Output - Count of a after n seconds for given reproduction rate is: 0Count of b after n seconds for given reproduction rate is: 33Count of c after ... Read More
Given two numbers start and end as range variables. The goal is to find the count of numbers that lie in this range [start, end] and have a difference of sum of digits at even and sum of digits at odd positions as Prime.That is (sum of digits at even position)-(sum of digits at odd position) = a Prime numberLet us understand with examples.For ExampleInput - start = 230, end = 270Output - Count of Numbers in Range with difference between Sum of digits at even and odd positions as Prime are: 6Explanation - The number(s) between 230 to 270 ... Read More
Given two numbers start and end as range variables and an integer q as input. The goal is to find the numbers within a range such that the number and its product with q have no common digits.If the number is 5 and q is 3 then the product will be 15. Both 5 and 15 have a common digit 5.If the number is 2 and q is 5 then the product will be 10. Both 2 and 10 have no common digit.Let us understand with examples.For ExampleInput - start = 5, end = 10, q = 2Output - Count ... Read More
Given a Maze represented as a row X col matrix in which the obstacle is represented as -1 and a clear cell has value other than -1. The goal is to start from the first cell arr[0][0] and reach the last cell arr[row][col] such that only two moves are allowed:Right move arr[i][j] to arr[i][j+1] and Down move arr[i][j] to arr[i+1][j].Let us understand with examples.Input - arr[row][col] = {{0, 0, 0}, {-1, -1, 0}, {0, 0, 0}}Output - Count of number of ways to reach destination in a Maze are: 1Explanation 0 1 2 0 0 ... Read More
Given a square matrix[][] containing non negative numbers as its elements. Also given a variable score. The goal is to count the ways to reach the given score by adding elements from matrix[][] such that only moves allowed are right moves and down moves. Starting from matrix[0][0] only moves can be, move to matrix[0][1] ( right move ) or move to matrix[1][0] ( down move ) and add value to reach sum=score.Let us understand with examples.For ExampleInput - matrix[row][col] = { {1, 1}, { 1, 1} } score=3Output - Count of number of ways to reach a given score in a ... Read More