Given an integer number as input. The goal is to find the number of trailing zeroes in the factorial calculated for that number. A factorial of a number N is a product of all numbers in the range [1, N].We know that we get a trailing zero only if the number is multiple of 10 or has a factor pair (2, 5). In all factorials of any number greater than 5, we have a number of 2s more than 5s in prime factorization of that number. Dividing a number by powers of 5 will give us the count of 5s ... Read More

Given two numbers start and end representing a range. The goal is to find the count of Unary numbers existing between [ start, end ].We can check if the number is Unary by following steps: If we take a number 13 then 12 + 32 = 10, then 12 + 02 = 1 So the ultimate sum in this way is 1 so 13 is unary.For ExampleInputstart=1 end=20OutputCount of Unary Numbers in a Range are: 5ExplanationThe numbers are : 1, 7, 10, 12, and 13Inputstart=50 end=100OutputCount of Unary Numbers in a Range are: 7ExplanationThe numbers are − 59, 63, 67, ... Read More

We are given a number N as input. Perform two operations on N and identify the count of unique numbers generated in the process. Steps will −Add 1 to numberRemove trailing zeros from the generated number, if anyIf N is 8 then numbers generated will beApplying step 1− 8 → 9 →Applying step 2− 1 → ( removed 0 from 10 )Applying step 1: 2 → 3 → 4 → 5 → 6 → 7 → 8 ( same sequence )Count of unique numbers will be 9.For ExampleInputN=21OutputCount of unique numbers that can be generated from N by adding one ... Read More

Given a sorted doubly linked list containing integer values. The goal is to find triplets whose product is equal to the given value x. If input linked list is 3−4−1−2 and x is 6 then count will be 1 (triplet (3, 1, 2) )For ExampleInputlinked list: [ 3−4−13−5−10−10−0 ] x=20OutputCount of triplets in a sorted doubly linked list whose product is equal to a given value x are: 2ExplanationTriplets will be: ( 3, 4, 13 ) and ( 10, 10, 0 )Inputlinked list: [ 4−3−1−5−2−4−2 ] x=8OutputCount of triplets in a sorted doubly linked list whose product is equal to ... Read More

Given a sorted doubly linked list containing integer values. The goal is to find triplets whose product is equal to the given value x. If input linked list is 3−4−1−2 and x is 6 then count will be 1 (triplet (3, 1, 2))For ExampleInputlinked list: [ 200−4−16−5−10−10−2 ] x=200OutputCount of triplets in a sorted doubly linked list whose product is equal to a given value x are: 3ExplanationTriplets will be: (4, 5, 10), (4, 5, 10) and (10, 10, 2)Inputlinked list: [ 4−3−1−5−2−4−2] x=12OutputCount of triplets in a sorted doubly linked list whose product is equal to a given value ... Read More

Given an array arr[] containing integer elements and an integer num. The goal is to find the average of each element arr[i] and num and print the count of the number of times that average appeared in the original array.If array arr[] is [ 5, 2, 3 ] and num is 2. Averages will be [ 3, 2, 2 ] occurrences in arr[] is [ 1, 1, 1 ]For ExampleInputarr[] = { 1, 6, 4, 3, 6, 4 } num=2Output1 2 1 0 2 1Count of occurrences of the average of array elements with a given number are − 5ExplanationThe ... Read More

Given a string str, a character and a positive integer N. The string str is repeated indefinitely. The goal is to find the count of occurrences of character in str in first N characters of repetitions.If str is “abac”, character is ch=‘b’ and N is 10.In first 10 characters of “abacabacabacabac…….” b occurs twice.Note − Take str and character ch within the same case.Let us understand with examples.For ExampleInputstr = "TPTTTT" ch = 'T' n = 12OutputCount of occurrences of a character in a repeated string are: 10ExplanationThe number of ‘T’ in str is 5. Length of str is 6. ... Read More

Given two strings str_1 and str_2. The goal is to count the number of occurrences of substring str2 in string str1 using a recursive process.A recursive function is the one which has its own call inside it’s definition.If str1 is “I know that you know that i know” str2=”know”Count of occurences is − 3Let us understand with examples.For ExampleInputstr1 = "TPisTPareTPamTP", str2 = "TP";OutputCount of occurrences of a substring recursively are: 4ExplanationThe substring TP occurs 4 times in str1.Inputstr1 = "HiHOwAReyouHiHi" str2 = "Hi"OutputCount of occurrences of a substring recursively are: 3ExplanationThe substring Hi occurs 3 times in str1.Approach used ... Read More

The default residual plot can be created by using the model object name in base R but that is not very attractive. To create a residual plot with better looking aesthetics, we can use resid_panel function of ggResidpanel package. It is created in the same way as the residual plot in base R, also it results in all the relevant graph in one window.ExampleConsider the below data frame −Live Demo> x y df dfOutputx y 1 0.48508894 0.217379409 2 0.75113573 -0.657179470 3 -0.13075185 -0.549613217 4 -0.26867557 1.156736294 5 0.40407850 0.640387394 6 -0.23816272 -0.807847198 7 -0.57278583 0.600249694 8 -0.78222676 -0.711133218 9 ... Read More

If we have two string vectors, each containing more than two values then it becomes a little difficult to create the combinations for each string value in those two vectors. For this purpose, we can make use of do.call function paste0 and expand.grid as shown in the below examples.ExampleLive Demo> x1 y1 do.call(paste0, expand.grid(x1, y1))Output[1] "AK" "BK" "CK" "DK" "EK" "FK" "GK" "HK" "IK" "JK" "AL" "BL" "CL" "DL" "EL" [16] "FL" "GL" "HL" "IL" "JL" "AM" "BM" "CM" "DM" "EM" "FM" "GM" "HM" "IM" "JM" [31] "AN" "BN" "CN" "DN" "EN" "FN" "GN" "HN" "IN" "JN" "AO" "BO" "CO" ... Read More