The sum of the squares of the first n odd numbers
Aug 31, 2023 pm 08:29 PM
The series of squares of the first n odd numbers takes the square of the first n odd numbers in the series. The series is: 1,9,25,49,81,121…The series can also be written as -12,32,52,72,92,112….The sum of this series has a mathematical formula -n(2n+1)(2n -1)/3=n(4n2-1)/3For example, Input:N=4Output:sum=Explanation 12+32+52+72=1+9+25+49=84 Using the formula, sum=4 (4(4)2-1)/3=4(64-1)/3=4(63)/3=4*21=84 Both methods are good, but the method using mathematical formulas is better , which reduces the time complexity since it does not use a look
C program to print 'even' or 'odd' without using conditional statements
Sep 15, 2023 pm 09:21 PM
In this section, we will see how to check whether a number is odd or even without using any conditional statements like <, <=, !=, >, >=, ==. We can easily check if the number is odd or even by using conditional statement. We can divide the number by 2 and check if the remainder is 0. If 0, it is an even number. Otherwise, we can AND the number with 1. If the answer is 0, it is an even number, otherwise it is an odd number. Conditional statements cannot be used here. We'll see two different ways to check whether an odd or even number is present. Method 1 Here we will create an array of strings. The index 0 position will hold "even" and the index 1 position will hold "odd". We can divide numbers
Given an odd number, find the average of all odd numbers
Sep 03, 2023 pm 03:49 PM
The average of odd numbers up to a given odd number is a simple concept. You just need to find the odd numbers up to that number, then add them and divide by that number. If you want to find the average of odd numbers up to n. Then we will find the odd numbers from 1 to n and add them together and divide by the number of odd numbers. Example The average of odd numbers up to 9 is 5, i.e. 1+3+5+7+9=25=>25/5=5 There are two ways to calculate the average of odd numbers up to n, where n is an odd number using a loop using the formula Program to find the average of odd numbers up to n, using a loop. To find the average of odd numbers up to n, we will add all the numbers up to n and divide by the number of odd numbers up to n. Program to calculate average of odd natural numbers up to n - example code
Sum of squares of first n even numbers in C program
Sep 12, 2023 pm 03:57 PM
Sum of squares of first n even numbers means, we first find the squares and add them all to get the sum. There are two ways to find the sum of the squares of the first n even numbers using a loop. We can use a loop to iterate from 1 to n, incrementing by 1 each time, find the square and add it to the sum variable − Example #include<iostream>usingnamespacestd;intmain (){ intsum=0,n=12; for(inti=1;i<=n;i++) &nb
The product of N and the largest odd number of digits in C
Aug 29, 2023 pm 01:25 PM
GivenanumberNwithwehavetoproductthenumberwithitslargestodddigit.Ifthereisnoodddigitthenprint-1.LikewehaveinitializedNwith“153”andthelargestodddigitinthisnumberis5sotheresultwouldbetheproductof153with5i.e.153*5=765andifthenumberhas
What is the average of all even numbers preceding a given even number?
Aug 25, 2023 pm 11:53 PM
To find the average of the even numbers before a given even number, we will add up all the even numbers before a given number and then count the number of even numbers. Then divide the sum by the number of even numbers. Example The average of even numbers up to 10 is 6 i.e. 2+4+6+8+10=30=>30/5=6 There are two ways to calculate the average of even numbers up to n i.e. even numbers. Program to calculate the average of even numbers up to n using formula using loop Using loop To calculate the average of even numbers up to n, we will add all the even numbers up to n and then divide by the number of even numbers up to n. Calculate the average of even natural numbers up to n - Sample code Live demonstration #include<stdio.h>intm
XOR query for maximum odd divisor in range in C++
Aug 27, 2023 pm 08:25 PM
Given an array of N integers and Q range queries. For each query, we need to return the XOR of the largest odd divisor of each number in the range. The largest odd divisor is the largest odd number that can divide the number N, e.g. For example, the largest odd divisor of 6 is 3. Input:nums[]={3,6,7,10},query[]={{0,2},{1,3}}Output:query1:7query2:1Explanation:greatestodddivisorsofnumsarrayare{3,3,7,5 }.Forquery1weneedtofindtheXORofindexes0,
PHP implementation tips: Get odd numbers within 100
Mar 09, 2024 pm 02:36 PM
PHP is a popular server-side programming language widely used for website development and dynamic web page generation. In PHP, getting odd numbers within a certain range is a common need. This article will introduce how to use PHP to obtain odd numbers within 100, and provide specific code examples. First, we can use a for loop to iterate through all numbers between 1 and 100, and then determine whether each number is odd. If it is an odd number, output or store it in an array. Here is a simple PHP code example:
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