Programming Articles

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Find n-th node of inorder traversal in C++

sudhir sharma
sudhir sharma
Updated on 11-Mar-2026 436 Views

In this problem, we are given a binary tree and an integer N. The task is to find the n-th node in inorder traversal of a Binary Tree.A binary tree has a special condition that each node can have a maximum of two children.Traversal is a process to visit all the nodes of a tree and may print their values too.Let’s take an example to understand the problem, InputN = 6Output3Explanationinorder traversal of tree : 4, 2, 5, 1, 6, 3, 7Solution ApproachThe idea is to use the in-order traversal of the binary tree which is done by using recursive ...

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How to find the fractional power of a negative number in R?

Nizamuddin Siddiqui
Nizamuddin Siddiqui
Updated on 11-Mar-2026 389 Views

To find the fractional power of a negative number, we can find the power separately for the numerator and denominator where denominator will have the numerator 1. For example, if we have a vector called x that contains a single value -10 then the fractional power 15/7 of x can be found by using the command ((x)^15)^(1/7)Examplex1

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How to create boxplot in base R with higher width of the box lines?

Nizamuddin Siddiqui
Nizamuddin Siddiqui
Updated on 11-Mar-2026 284 Views

To create boxplot in base R with higher width of the box lines, we can use the boxlwd argument inside boxplot function. For example, if we have a vector called x then we can create the boxplot with higher width of the box lines using the command −boxplot(x,boxlwd=5)Examplex

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C++ Programe to find n-th term in series 1 2 2 3 3 3 4

sudhir sharma
sudhir sharma
Updated on 11-Mar-2026 444 Views

In this problem, we are given an integer N. The task is to find n-th term in series 1 2 2 3 3 3 4….Let’s take an example to understand the problem, InputN = 6Output3ExplanationThe series upto nth term is 1, 2, 2, 3, 3, 3, ...Solution ApproachA simple approach to solve the problem is by using a nested loop. The outer for loop is from 1 to n. And the inner loop is from 1 to i (iterator of outer loop). For each iteration in the inner loop, count the number of elements of the series and return the ...

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C++ program to find n-th term in the series 7, 15, 32, ...

sudhir sharma
sudhir sharma
Updated on 11-Mar-2026 231 Views

In this problem, we are given an integer N. The task is to find n-th term in series 7, 15, 32....Let’s take an example to understand the problem, InputN = 6Output281ExplanationThe series upto nth term is 7, 15, 32, 67, 138, 281Solution ApproachThe solution to the problem lies in decoding the series. You can see the series is a mix of series.The subtracting the values, T(2) - T(1) = 15 - 7 = 8 T(3) - T(2) = 32 - 15 = 17 So, T(2) = 2*T(1) + 1 T(3) = 2*T(2) + 2 T(n) = 2*T(n-1) + ...

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How to replace a particular value in R data frame with a new value?

Nizamuddin Siddiqui
Nizamuddin Siddiqui
Updated on 11-Mar-2026 1K+ Views

To replace a particular value in R data frame with a new value, we can use ifelse function where the new value will be placed after the condition and if the column values do not match the condition then the same column will be placed. For example, if we have a data frame called df that contains a column x having 20 values and some of them are 5 and if we want to replace 5 with 2 then we can use the command df$x

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C++ program to find n-th term in the series 9, 33, 73,129 ...

sudhir sharma
sudhir sharma
Updated on 11-Mar-2026 459 Views

In this problem, we are given an integer N. The task is to find n-th term in series 9, 33, 73, 129....Let’s take an example to understand the problem, InputN = 4Output129ExplanationThe series upto nth term is 9, 33, 73, 129...Solution ApproachThe solution to the problem lies in finding the nth term of the series. We will find it mathematically and then apply the general term formula to our program.First let’s subtract the series by shifting it by one.Sum = 9 + 33 + 73 + … + t(n-1) + t(n) - Sum = 9 + 33 + 73 + ...

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C++ program to find n-th term of series 1, 4, 27, 16, 125, 36, 343...

sudhir sharma
sudhir sharma
Updated on 11-Mar-2026 609 Views

In this problem, we are given an integer N. The task is to find the n-th term in series 1, 4, 27, 16, 125, 36, 343....Let’s take an example to understand the problem, InputN = 7Output343ExplanationThe series is 1, 4, 27, 16, 125, 36, 343…Solution ApproachA simple solution to the problem is by finding the general term of the series. This series comprises two different series one at odd terms and one at even terms. If the current element index is even, the element is square of its index. And if the current element index is odd, the element is ...

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C++ program to find n-th term of series 1, 3, 6, 10, 15, 21...

sudhir sharma
sudhir sharma
Updated on 11-Mar-2026 710 Views

In this problem, we are given an integer N. The task is to find the n-th term in series 1, 3, 6, 10, 15, 21, 28....Let’s take an example to understand the problem, InputN = 7Output28ExplanationThe series is 1, 3, 6, 10, 15, 21, 28...Solution ApproachA simple solution to the problem is by finding the general term of the series. On observing the series we can see that the ith number of the series is the sum of (i-1)th term and i.This type of number is called triangular number.To solve the problem, we will loop till n, and for each ...

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How to test for significant relationship between two categorical columns of an R data frame?

Nizamuddin Siddiqui
Nizamuddin Siddiqui
Updated on 11-Mar-2026 745 Views

To test for the significance of proportion between two categorical columns of an R data frame, we first need to find the contingency table using those columns and then apply the chi square test for independence using chisq.test. For example, if we have a data frame called df that contains two categorical columns say C1 and C2 then the test for significant relationship can be done by using the command chisq.test(table(df$C1,df$C2))Examplex1

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