MCUR98 - Self Numbers
Background
In 1949 the Indian mathematician D.R. Kaprekar discovered a class of numbers called self-numbers. For any positive integer n, define d(n) to ben plus the sum of the digits of n. (The d stands for digitadition, a term coined by Kaprekar.) For example:
d(75) = 75 + 7 + 5 = 87
Given any positive integer n as a starting point, you can construct the infinite increasing sequence of integers n, d(n), d(d(n)), d(d(d(n))), ... For example, if you start with 33, the next number is 33 + 3 + 3 = 39, the next is 39 + 3 + 9 = 51, the next is 51 + 5 + 1 = 57, and so you generate the sequence
33, 39, 51, 57, 69, 84, 96, 111, 114, 120, 123, 129, 141, ...
The number n is called a generator of d(n). In the sequence above, 33 is a generator of 39, 39 is a generator of 51, 51 is a generator of 57, and so on.
Some numbers have more than one generator: For example, 101 has two generators, 91 and 100. A number with no generators is a self-number. There are thirteen self-numbers less than 100: 1, 3, 5, 7, 9, 20, 31, 42, 53, 64, 75, 86, and 97.
Problem
Write a program to output all positive self-numbers less than 1000000 in increasing order, one per line.
Input
There is no input.
Output
All positive self-numbers less than 1000000 in increasing order, one per line.
hide comments
deerawat:
2020-12-28 11:55:15
Use printf instead of cout as it gives tle |
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kumar_anubhav:
2020-06-18 15:18:25
AC in one Go !!! :) |
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shubhamptw:
2019-10-10 07:47:03
Runtime error on ideone but accepted on spoj |
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mag1x_:
2018-06-23 08:32:15
Easy oNe :) |
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karthik1997:
2017-12-12 09:14:47
250 bytes with DFS :P Last edit: 2017-12-12 09:15:01 |
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sandeep_4141:
2017-05-19 06:42:43
ideone gives me runtime error but spoj accept it ?? |
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utkarsh538:
2016-04-13 22:54:59
simple naive solution :) |
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Siddharth Singh:
2016-01-05 17:05:53
Very Naive Solution Worked Surprisingly :D |
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dwij28:
2015-12-29 18:09:51
There are times when you want to break your own head. I feel the same at this moment. I did not read the word "less than 1000000" and sieved up to 1000000. Costed me 2 WA. Remember people 1000000 is "NOT" a self number. Beware of that. Sieve is your friend. |
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evil_hacker26:
2015-08-22 23:41:15
lolz...easy one....:p |
Added by: | abdelkarim |
Date: | 2013-09-15 |
Time limit: | 0.400s |
Source limit: | 900B |
Memory limit: | 1536MB |
Cluster: | Cube (Intel G860) |
Languages: | All except: ASM64 |
Resource: | Mid-Central USA 1998 |