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Articles by Arnab Chakraborty
Page 216 of 377
Find maximum N such that the sum of square of first N natural numbers is not more than X in C++
ConceptWith respect of a given integer X, our task is to determine the maximum value N so that the sum of first N natural numbers should not exceed X.InputX = 7Output22 is the maximum possible value of N because for N = 3, the sum of the series will exceed X i.e. 1^2 + 2^2 + 3^2 = 1 + 4 + 9 = 14InputX = 27Output33 is the maximum possible value of N because for N = 4, the sum of the series will exceed X i.e. 1^2 + 2^2 + 3^2 + 4^2 = 1 + 4 + ...
Read MoreFind maximum operations to reduce N to 1 in C++
ConceptWith respect of given two numbers P and Q ( P and Q can be up to 10^6 ) which forms a number N = (P!/Q!). Our task is to reduce N to 1 by performing maximum number of operations possible. Remember, in each operation, one can replace N with N/X if N is divisible by X. Determine the maximum number of operations that can be possible.InputA = 7, B = 4Output4ExplanationN is 210 and the divisors are 2, 3, 5, 7InputA = 3, B = 1Output2ExplanationN is 6 and the divisor are 2, 3.MethodIt has been observed that factorization ...
Read MoreFind maximum points which can be obtained by deleting elements from array in C++
ConceptWith respect of a given array A having N elements and two integers l and r where, 1≤ ax ≤ 105 and 1≤ l≤ r≤ N. We can select any element of the array (let’s say ax) and delete it, and also delete all elements equal to ax+1, ax+2 … ax+R and ax-1, ax-2 … ax-L from the array. This step will cost ax points. Our task is to maximize the total cost after deleting all the elements from the array.Input2 1 2 3 2 2 1 l = 1, r = 1Output8Here, we choose 2 to delete, then (2-1)=1 ...
Read MoreLongest Substring with At Most K Distinct Characters in C++
Suppose we have a string; we have to calculate the length of the longest substring T that contains at most k distinct characters.So, if the input is like s = "eceba", k = 2, then the output will be 3 as T is "ece" which its length is 3.To solve this, we will follow these steps −ans := 0Define one map mn := size of sx := 0for initialize j := 0, i := 0, when j < n, update (increase j by 1), do −(increase m[s[j]] by 1)if m[s[j]] is same as 1, then −(increase x by 1)while (x > k and i k && i
Read MoreFind median of BST in O(n) time and O(1) space in C++
ConceptWith respect of a given Binary Search Tree(BST), our task is to determine median of it.For even no. of nodes, median = ((n/2th node + (n+1)/2th node) /2 For odd no. of nodes, median = (n+1)/2th node.For given BST(with odd no. of nodes) is − 7 / \ 4 9 / \ / \ 2 5 8 10Inorder of Given BST will be : 2, 4, 5, 7, 8, 9, 10 So, here median will 7.For given BST(with even no. of nodes) is − 7 ...
Read MoreRearrange String k Distance Apart in C++
Suppose we have a non-empty string s and an integer k; we have to rearrange the string such that the same characters are at least distance k from each other. Given strings are in lowercase letters. If there is no way to rearrange the strings, then we will an empty string.So, if the input is like s = "aabbcc", k = 3, then the output will be "abcabc" this is because same letters are at least distance 3 from each other.To solve this, we will follow these steps −ret := an empty stringDefine one map mn := size of sfor ...
Read MoreFind memory conflicts among multiple threads in C++
Suppose we have a RAM and that RAM is organized in blocks. there are multiple processes running on the system. We have to keep in mind that every process gets following information, (Thread T, Memory Block M, time t, R/W) This indicates the thread T was implementing memory block M at given time t and operation could be either read(R) or write(W).The following case is indicating whether it is memory conflict or not −More than one read operations at the same location are not the reason of conflict.When writing operation is being performed between x+5 to x-5 to location of ...
Read MorePerfect Rectangle in C++
Suppose we have N axis-aligned rectangles, we have to check whether they all together form an exact cover of a rectangular region or not. Here each rectangle is represented as a bottom-left point and a top-right point. So a unit square is represented as [1, 1, 2, 2]. (bottom-left point is (1, 1) and top-right point is (2, 2)).So, if the input is like rectangles = [[1, 1, 3, 3], [3, 1, 4, 2], [3, 2, 4, 4], [1, 3, 2, 4], [2, 3, 3, 4]], then the output will be true as all 5 rectangles together form an exact ...
Read MoreFind minimum adjustment cost of an array in C++
ConceptWith respect of a given array of positive integers, we replace each element in the array so that the difference between adjacent elements in the array is either less than or equal to a given target. Now, our task to minimize the adjustment cost, that is the sum of differences between new and old values. So, we basically need to minimize Σ|A[i] – Anew[i]| where 0 ≤ i ≤ n-1, n is denoted as size of A[] and Anew[] is denoted as the array with adjacent difference less than or equal to target. Let all elements of the array is ...
Read MoreFind minimum s-t cut in a flow network in C++
Suppose we have following flow network. As we know an s-t cut is a cut that requires the source s node and a sink t node to be in different subsets, and it includes edges going from the source set to the sink side. Here the capacity of an s-t cut is represented by the sum of each edge capacity in the cut-set. Here we have to find minimum capacity s-t cut of the given network. Here the expected output is all edges of the minimum cut.So, if the input is likethen the output will be [(1, 3), (4, 3), ...
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