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Maximum Product Cutting | DP-36 in C++

Ayush Gupta
Ayush Gupta
Updated on 11-Mar-2026 232 Views

In this tutorial, we will be discussing a program to find maximum Product Cutting | DP-36.For this we will be provided with a rope of N meters. Our task is to cut the rope in different integer lengths such that the product of their lengths is the maximumExample#include using namespace std; //finding maximum of two, three integers int max(int a, int b) {    return (a > b)? a : b; } int max(int a, int b, int c) {    return max(a, max(b, c)); } //returning maximum product int maxProd(int n) {    if (n == 0 || ...

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How to generate a sequence of a date in each month for a fixed number of months using R?

Nizamuddin Siddiqui
Nizamuddin Siddiqui
Updated on 11-Mar-2026 991 Views

Every month have common dates except few such as February do not have 30 or 31 and even 29 in some years and there are months that contain 30 days while some contains 31 days. Therefore, finding a date say the first date, a middle date, or a last date is not an easy task but it can be done with the help of seq function in base R.Examples> seq(as.Date("2020-01-01"), length=12, by="1 month")Output[1] "2020-01-01" "2020-02-01" "2020-03-01" "2020-04-01" "2020-05-01" [6] "2020-06-01" "2020-07-01" "2020-08-01" "2020-09-01" "2020-10-01" [11] "2020-11-01" "2020-12-01"Example> seq(as.Date("2020-01-01"), length=36, by="1 month") Output[1] "2020-01-01" "2020-02-01" "2020-03-01" "2020-04-01" "2020-05-01" [6] "2020-06-01" "2020-07-01" ...

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How to check whether the elements of a vector are arranged in an increasing order or decreasing order?

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

A vector can contain values that are increasing or decreasing in nature or they can be also random which means a higher value may come after a lower one which is followed by a higher value. An example of increasing arrangement of elements of vector is 1, 2, 3 and the opposite of that would be decreasing arrangement. We can check whether a vector is arranged in increasing order or decreasing order by checking whether the difference between all values of the vector is greater than or equal to zero or not and it can be done by using diff ...

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How to extract p-values for intercept and independent variables of a general linear model in R?

Nizamuddin Siddiqui
Nizamuddin Siddiqui
Updated on 11-Mar-2026 522 Views

General linear model does not assume that the variables under consideration are normally distributed, therefore, we can use other probability distributions to create a general linear model. We should actually say that if the data does not follow normal distribution then we can try different distributions using general linear model and check whether the model is appropriate or not. The p-values plays an important role in selecting the best model and we might want to extract them from the model object. This can be done by using coef function.ExampleConsider the below data frame −> set.seed(123) > var1 var2 var3 Response ...

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Maximum product from array such that frequency sum of all repeating elements in product is less than or equal to 2 * k in C++

Ayush Gupta
Ayush Gupta
Updated on 11-Mar-2026 192 Views

In this tutorial, we will be discussing a program to find maximum product from array such that frequency sum of all repeating elements in product is less than or equal to 2 * k.For this we will be provided with an array and an integer k. Our task is to find the maximum product from the array given that the frequency sum of all digits must be smaller than or equal to 2 * k.Example#include using namespace std; #define ll long long int //returning maximum product value ll maxProd(int arr[], int n, int k) {    ll product = ...

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How to determine the percentiles of a vector values in R?

Nizamuddin Siddiqui
Nizamuddin Siddiqui
Updated on 11-Mar-2026 362 Views

Percentile helps us to determine the values that lie at a certain percent in a data set. For example, if we have a vector of size 100 with containing any values and suppose that the tenth-percentile of the vector is 25, which means there are ten percent values in the vector that are less than 25, or we can say, there are ninety percent values in the vector that are greater than 25. We can find percentiles of a vector values using quantile function in R.Examples> x1 x1Output[1] 7 1 7 6 6 5 3 1 5 5 4 5 ...

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How to find the cumulative sums if a vector contains NA values in R?

Nizamuddin Siddiqui
Nizamuddin Siddiqui
Updated on 11-Mar-2026 957 Views

The cumulative sums are the sum of consecutive values and we can take this sum for any numerical vector or a column of an R data frame. But if there exits an NA, then we need to skip it and therefore the size of the cumulative sums will be reduced by the number of NA values. If we have NA values in a vector then we can ignore them while calculating the cumulative sums with cumsum function by using !is.na.Examples> x1 x1Output[1] 1 2 3 4 5 6 7 8 9 10 NA > cumsum(x1[!is.na(x1)]) [1] 1 3 6 10 ...

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Maximum product of 4 adjacent elements in matrix in C++

Ayush Gupta
Ayush Gupta
Updated on 11-Mar-2026 370 Views

In this tutorial, we will be discussing a program to find maximum product of 4 adjacent elements in matrix.For this we will be provided with a square matrix. Our task is to find the maximum product of four adjacent elements which can be top, down, right, left, or diagonal.Example#include using namespace std; const int n = 5; //finding maximum product int FindMaxProduct(int arr[][n], int n) {    int max = 0, result;    for (int i = 0; i < n; i++) {       for (int j = 0; j < n; j++) {       ...

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How to change the row index after sampling an R data frame?

Nizamuddin Siddiqui
Nizamuddin Siddiqui
Updated on 11-Mar-2026 975 Views

When we take a random sample from an R data frame the sample rows have row numbers as in the original data frame, obviously it happens due to randomization. But it might create confusion while doing analysis, especially in cases when we need to use rows, therefore, we can convert the index number of rows to numbers from 1 to the number of rows in the selected sample.ExampleConsider the below data frame −> set.seed(111) > x1 x2 x3 df1 df1Output      x1          x2       x3 1 1.735220712 2.8616625 1.824274 2 1.169264128 2.8469644 1.878784 ...

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Maximum product of a triplet (subsequence of size 3) in array in C++

Ayush Gupta
Ayush Gupta
Updated on 11-Mar-2026 190 Views

In this tutorial, we will be discussing a program to find maximum product of a triplet (subsequence of size 3) in array.For this we will be provided with an array of integers. Our task is to find the triplet of elements in that array with the maximum productExample#include using namespace std; //finding the maximum product int maxProduct(int arr[], int n){    if (n < 3)       return -1;    int max_product = INT_MIN;    for (int i = 0; i < n - 2; i++)       for (int j = i + 1; j < ...

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