Programming Articles - Page 1322 of 3366

In this problem, we are given an array sum[] consisting of a sum of (n-1) variables given as, Sum[1] = x2 + x3 + x4 + … xn Sum[2] = x1 + x3 + x4 + … xn . . Sum[i] = x2 + x3 + x4 + … x(i-1) + x(i+1) + … + xn . . Sum[n] = x1 + x2 + x3 + … x(n-1) Our task is to find the value of x1, x2, ... xn.Let’s take an example to understand the problem, Inputsum[] = {6, 6, 6, 6, 6, 6, 6}Outputx1 = 1, x2 = ... Read More

In this problem, we are given an integer N. The task is to find the n-th term in series 3, 9, 21, 41, 71...Let’s take an example to understand the problem, InputN = 7Output169ExplanationThe series is 3, 9, 21, 41, 71, 169...Solution ApproachA simple solution to the problem is by finding the general term of the series. The general term can be found by observing the series a bit. It is, $$T(N) = \sum n^{2} + \sum n + 1$$We can directly use the formula for the sum of square of first n natural numbers, first n natural number and ... Read More

In this problem, we are given an integer N. The task is to find the n-th term in series 2, 10, 30, 68, 130...Let’s take an example to understand the problem, InputN = 7Output350ExplanationThe series is 2, 10, 30, 68, 130, 222, 350...Solution ApproachA simple solution to the problem is by finding the general term of the series. Here, the Nth term of the series is N^3 + N. This is found by subtracting the current element with the current index.For i, i = 1, T(1) = 2 = 1 + 1 = 1^3 + 1 i = 2, T(1) ... Read More

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 ... Read More

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 ... Read More

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 + ... Read More

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) + ... Read More

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 ... Read More

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 ... Read More

In this problem, we are given a binary tree and an integer N. The task is to find the n-th node in Preorder 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 = 6Output6ExplanationPre order traversal of tree : 1, 2, 4, 5, 3, 6, 7Solution ApproachThe idea is to use the pre-order traversal of the binary tree which is done by using ... Read More