# How do you find the largest rectangle in a histogram?

Table of Contents

## How do you find the largest rectangle in a histogram?

Following is the complete algorithm.

- Create an empty stack.
- Start from first bar, and do following for every bar ‘hist[i]’ where ‘i’ varies from 0 to n-1. ……
- If the stack is not empty, then one by one remove all bars from stack and do step 2. b for every removed bar.

## How do you find a rectangle in a matrix?

Find Rectangle in binary matrix

- Input Format. The first argument given is the integer matrix A.
- Output Format. Return 1 if there exists such rectangle/square whose all four corners are 1 else return 0.
- Constraints 1 <= N, M <= 200 0 <= A[i] <= 1.
- For Example Input 1: A = [ [0, 1, 1] [0, 1, 1] [0, 1, 0] ] Output 1: 1.

**What is histogram rectangle?**

A Histogram is a graphical display of data using bars of different heights. The bars are placed in the exact same sequence as given in the array. You need to find the area of the largest rectangle found in the given histogram.

**What is a rectangular histogram?**

The histogram is used for the diagrammatic representation of given frequency distribution. It is a diagram of continuous rectangles. It facilitates the comparison of two or more frequency distributions.

### How do you find the minimum and maximum area of a rectangle?

To find the maximum possible area, add the greatest possible error to each measurement, then multiply. To find the minimum possible area, subtract the greatest possible error from each measurement, then multiply.

### What is a rectangular matrix?

A matrix formed by different numbers of rows and columns is known as a rectangular matrix. The order of a rectangular matrix is denoted as m x n where m is the number of rows and n is the number of columns and m is not equal to n. Thus, A= [ ai j ] m x n is a rectangular matrix if m ≠ n.

**What is a definition of rectangular array?**

A rectangular array consists of a set of objects arranged in a similar way to a rectangular grid. It is one way of packing objects (e.g. eggs) efficiently. This is an array of dots. A 3 \times 4 array. Activities with arrays can help students understand the rectangular grid pattern.

**What is histogram area?**

A Histogram is a graphical display of data using bars of different heights. The bars are placed in the exact same sequence as given in the array. You need to find the area of the largest rectangle found in the given histogram. For example: Possible questions to ask the interviewer: →

## What is stack histogram?

The stacked bar chart (aka stacked bar graph) extends the standard bar chart from looking at numeric values across one categorical variable to two. Each bar in a standard bar chart is divided into a number of sub-bars stacked end to end, each one corresponding to a level of the second categorical variable.

## What are histograms best used for?

The histogram is a popular graphing tool. It is used to summarize discrete or continuous data that are measured on an interval scale. It is often used to illustrate the major features of the distribution of the data in a convenient form.

**What are the different shapes of a histogram?**

Histogram: Study the shape

- Bell-shaped: A bell-shaped picture, shown below, usually presents a normal distribution.
- Bimodal: A bimodal shape, shown below, has two peaks.
- Skewed left: Some histograms will show a skewed distribution to the left, as shown below.

**What is the maximum area of a triangle?**

The height of the triangle(and thus the area) is maximum When the other side is at 90 degrees from the first, in which case you have a right triangle with an area equal to half the product of the two starting sides.

### What is the maximum area of a rectangle inscribed in a right triangle?

The area of the original triangle ABC is given by ab2. Therefore it is the case that if a rectangle is inscribed inside a right-angled triangle in this way, its greatest area will be exactly half that of the triangle.

### What is the difference between square and rectangular matrix?

A square matrix has the same number of rows as columns. In computer graphics, square matrices are used for transformations. A rectangular matrix is one where the number of rows or columns may not be the same. (Some books require that the number of rows and number of columns be different.)

**What is transpose of rectangular matrix?**

If we exchange the role of the row and column of a matrix then we transpose it.This operation is called transposition and the matrix is called transposition matrix. If we take a rectangular matrix and transpose it then we get a rectangular matrix.