Daffodil count question, what is daffodil count?

The natural language of daffodil numbers: a three-digit number, it has a hundred-digit a, a ten-digit b, and a single digit c. So, if a a a+b b b+c c c=abc, then it's the number of daffodils. The number of daffodils is 153 ......

Let's start with the meaning of the daffodil number: it refers to an n-digit number (n 3), and the sum of the n-power of the digits on each digit is equal to itself. (For example:.)

1^3 + 5^3 + 3^3 = 153）。I'll start by sending the C++ daffodil algorithm up: include

#include

using namespace std;void main(){int i,j,sum=0,number,n=0;

for(i=100;i<=100000;i++)number=i;

while(number){

number=number/10;

n++;number=i;

for(j=0;jif(sum==i)

Cout Meaning: 1Define i, j is used for cyclic counting, sum is used as the sum of n orders of the counts, number is used as a variable to temporarily store the current number, and n is used to count how many digits there are in the number.

2.Because the number of daffodils is counted from 100, so start counting from 100, and the range can be modified by yourself, but if it's too long, the computer processing will slow down, and I'm a number within 10w, plus 1 every time you cycle. 3.

Store the value of the current number in number, and count how many digits there are, and store them in n. 4.Because the value in the number will change when the number of digits is counted, the value of the current number is stored in the number again, and a nested loop is started, and the sum of the number numbers is counted by sum.

5.To determine whether the sum of sums is equal to the current digit i, it is to output a prompt. 6.

Reset the values of n and sum to zero, start the next loop, or exit the program if the search condition is met.

Definitions

The number of daffodils is only a kind of self-power number, strictly speaking, the power of 3 digits is called the number of daffodils.

Also known as a pluperfect digital invariant (PPDI), narcissistic number, power number, Armstrong number, or Armstrong number, a narcissus number is a 3-digit number whose sum of the 3 powers of the digits in each bit is equal to itself (e.g., 1 3 + 5 3 + 3 3 = 153).

Extended Resources:The power of the other digits.

One-digit power number: celibacy number.

Two-digit power: None.

Three-digit power: Daffodil number.

Four-digit power number: four-leaf rose number.

Five-digit power: The number of five-pointed stars.

Six-digit power number: Hexagram.

Seven-digit power: the number of the Big Dipper.

Octave power: Eight cents.

Nine-digit power number: Nine-nine double yang number.

Ten powers number: Ten perfect and ten perfect numbers.

Number of common daffodils.

The number of daffodils is also known as the Agen Mulststrong number.

There are four daffodils in the three places: 153,370,371,407;

There are three four-leaf roses in the four places: 1634, 8208, 9474;

There are a total of 3 five-pointed stars in the five places: 54748, 92727, 93084;

There is only one hexet of six digits: 548834;

There are 4 Big Dipper stars in the seven digits: 1741725, 4210818, 9800817, 9926315;

There are 3 eight-digit eight immortals: 24678050, 24678051, 88593477

The so-called "daffodil number" refers to a three-digit number, the sum of the cubes of which is equal to the number itself. The number of daffodils is an n-digit number (n 3) that carefully searches for the sum of the n-power of the digits on each digit equal to itself. (For example:.)

There are four daffodils in the three places: 153,370,371,407;For example, 153 is a "daffodil number" because 153 = 1 to the power of 5 to the power of 3.

Extended information: The number of daffodils is only a kind of self-power number, strictly speaking, the 3rd power of 3 digits is called the number of daffodils. Attached: The names of the powers of other digits.

Algorithm design. "Daffodil number" is a three-digit number that satisfies a certain condition, and based on this information, it can be determined that the value range of the whole number is 100 999. The corresponding cyclic conditions are as follows: for(n=10; n<1000; n++)

A note to **:

N is divided by 100 to get the number Hun where n is in the hundreds.

Divide (n-i*100) by 10 (or divide n by 10 and then modulo n 10% 10 for the difference band to 10) to get the number ten where n is in the ten place.

N to 10 is taken to give the number ind in the single digit.

Find out if the sum of the cubes of these three numbers is equal to itself, and if so, then the number is the number of daffodils.

There are many algorithms for splitting the numerical value at each position, and different algorithms are chosen depending on the situation (the efficiency of different algorithms can sometimes vary greatly for the same problem).

Below is the full Dai Kuanqing calendar code: plain text copy.

#include int main()printf("");return 0;}

A narcissistic number is an n-digit number (n 3) whose sum to the nth power of each digit is equal to itself. For example, 153 is the number of narcissus flowers that accompany the water front, because 153 = 1 3 + 5 3 + 3 3.

The narcissistic number is also known as the Pluperfect Digital Invariant (PPDI), the narcissistic number, the power number, the Armstrong number, or the Armstrong number.

A daffodil number refers to a 3-digit number in which the sum of the 3 powers of the numbers on each bit is equal to itself (e.g. 1 3 + 5 3 + 3 3 = 153).

The largest number of daffodils is 39. There are a total of 88 daffodil numbers in the decimal natural number.

For example, if a three-digit number plus the cube of the ten digits plus the cube of the hundred digits equals the number itself, this number is called the daffodil number. For example, if a three-digit abc is satisfied, if a 3 + b 3 + c 3 = abc is satisfied, then abc is the number of daffodils.

Reason: Daffodils, also known as onions, garlic, marigold, jade. It belongs to the Lycoris family, perennial bulb grass flower.

Height 20-30 cm. The leaves are basal, linear, flattened and permeable. The flower leaves are extracted between the leaves, and there are 3-8 flowers at the top, which is an umbel-shaped inflorescence, and the mouth of the corolla has a yellow flower-like secondary corolla, which is called "marigold".

Therefore, the type is: a 3 + b 3 + c 3 = abc

We call it the number of daffodils. It is defined structurally.

Extended Information: The number of common daffodils is:

The daffodil number is also known as the Armstrong number.

1. There are 4 daffodils in the three places: 153,370,371,407;

2. There are 3 four-leaf rose stool potato ridges in four places: 1634, 8208, 9474;

3. There are 3 five-pointed stars: 54748, 92727, 93084;

4. There is only one hexagram number of six digits: 548834;

5. There are 4 Big Dipper numbers in seven places: 1741725, 4210818, 9800817, 9926315;

6. There are 3 eight immortals in the eight positions of the hand beam: 24678050, 24678051, 88593477

Also known as a pluperfect digital invariant (PPDI), narcissistic number, power number, armstrong number, or armstrong number, a narcissus number is a 3-digit number whose sum of the 3 powers of each digit is equal to itself (e.g., 1 3 + 5 3 + 3 3 = 153).

Extended information "Narcissistic number is the name given by mathematician Madazi in 1966, also called"The self-weight number is dismantled""Number of restores"or"Super-perfect numeric invariance", Mr. Tan Xiangbai gave him a nice name"Number of daffodils"。

A daffodil number is an n-digit positive integer (n>=3) whose sum of the n-power of the numbers in each bit is equal to itself. For example: 153 = 13 + 53 + 33. This question requires writing a program to count all n-digit daffodils.

Input format: The input gives a positive integer n(3<=n<=7) in a line.

Output format: Output all n-digit daffodil slide numbers in increasing order, with each number accounting for a row. Input sample:

Sample output: