HDU1128:Self Numbers
来源:互联网 发布:java分段函数是 编辑:程序博客网 时间:2024/06/06 09:51
Problem Description
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 be n 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.
Write a program to output all positive self-numbers less than or equal 1000000 in increasing order, one per line.
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.
Write a program to output all positive self-numbers less than or equal 1000000 in increasing order, one per line.
Sample Output
135792031425364|| <-- a lot more numbers|9903991499259927993899499960997199829993|||
tip:一道水题....
#include<iostream>#include<cstring>using namespace std;int _hash[1000005];int fun(int x){int sum=0;while(x/10){sum+=x%10;x/=10;}sum+=x;return sum; } int main(){memset(_hash,0,sizeof(_hash));for(int i=1;i<=1000000;i++){int sum=i+fun(i);_hash[sum]=1; }for(int i=1;i<=1000000;i++)if(!_hash[i])cout<<i<<endl; return 0; }
0 0
- HDU1128:Self Numbers
- hdu1128-Self Numbers
- hdu1128-Self Numbers
- hdu1128 Self Numbers
- HDU1128--Self Numbers
- hdu1128 Self Numbers
- hdu1128 Self Numbers--哈希表水题
- HDU1128:Self Numbers(哈希)
- HDU1128:Self Numbers
- HDU1128 UVA640 UVALive5326 ZOJ1180 Self Numbers【水题】
- HDU1128 self number("优化"版暴力)
- HDU1128
- Self Numbers
- Self Numbers
- Self Numbers
- Self Numbers
- zoj1180 Self Numbers
- POJ 1316 Self Numbers
- Revit开发之框选过滤ISelectionFilter
- datatables edit 设置默认的语言
- BASIC WINDOWS PRIVILEGE ESCALATION
- JS两个数组比较,删除重复值(转)
- 第三周项目3-求集合并集
- HDU1128:Self Numbers
- Android中的线程池(一)
- Gitbook简易教程
- 【知识记录】分布式事务解决方案
- 动态规划-选学生
- Gitbook输出为静态网站并启动 (链接中有入门教程)
- 【已解决】Python脚本运行出现语法错误:IndentationError: unindent does not match any outer indentation level
- 关于Ext3.0中按条件查询并重新加载Grid中的数据的实现过程及store.load的分析
- datatables edit 重新定义 创建 修改 删除的 URL路径