hdu acm 1191 Specialized Four-Digit Numbers
来源:互联网 发布:44gbgb新域名 编辑:程序博客网 时间:2024/05/16 12:30
source: http://acm.hdu.edu.cn/showproblem.php?pid=1197
Specialized Four-Digit Numbers
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others)Total Submission(s): 6350 Accepted Submission(s): 4625
Problem Description
Find and list all four-digit numbers in decimal notation that have the property that the sum of its four digits equals the sum of its digits when represented in hexadecimal (base 16) notation and also equals the sum of its digits when represented in duodecimal (base 12) notation.
For example, the number 2991 has the sum of (decimal) digits 2+9+9+1 = 21. Since 2991 = 1*1728 + 8*144 + 9*12 + 3, its duodecimal representation is 1893(12), and these digits also sum up to 21. But in hexadecimal 2991 is BAF16, and 11+10+15 = 36, so 2991 should be rejected by your program.
The next number (2992), however, has digits that sum to 22 in all three representations (including BB016), so 2992 should be on the listed output. (We don’t want decimal numbers with fewer than four digits - excluding leading zeroes - so that 2992 is the first correct answer.)
For example, the number 2991 has the sum of (decimal) digits 2+9+9+1 = 21. Since 2991 = 1*1728 + 8*144 + 9*12 + 3, its duodecimal representation is 1893(12), and these digits also sum up to 21. But in hexadecimal 2991 is BAF16, and 11+10+15 = 36, so 2991 should be rejected by your program.
The next number (2992), however, has digits that sum to 22 in all three representations (including BB016), so 2992 should be on the listed output. (We don’t want decimal numbers with fewer than four digits - excluding leading zeroes - so that 2992 is the first correct answer.)
Input
There is no input for this problem.
Output
Your output is to be 2992 and all larger four-digit numbers that satisfy the requirements (in strictly increasing order), each on a separate line with no leading or trailing blanks, ending with a new-line character. There are to be no blank lines in the output. The first few lines of the output are shown below.
Sample Input
There is no input for this problem.
Sample Output
2992
2993
2994
2995
2996
2997
2998
2999
// 10 12 16#include <iostream>int sum(int i, int x);using namespace std;int main(){ int num_10, num_12, num_16; for(int i = 2992;i <= 9999;i++){ num_10 = sum(i, 10); num_12 = sum(i, 12); num_16 = sum(i, 16); if(num_10 == num_12 && num_10 == num_16){ cout << i << endl; } } return 0;}int sum(int i, int x){ int sum_ = 0; int tmp = 0; while(i != 0){ tmp = i % x; sum_ = sum_ + tmp; i = i / x; } return (sum_);}//题目分析:// 如果一个四位数,10进制各位和,12进制各位和,16进制各位和,均相等,则输出数。
0 0
- hdu acm 1191 Specialized Four-Digit Numbers
- HDU Specialized Four-Digit Numbers
- HDU 1197 Specialized Four-Digit Numbers
- HDU 1197 Specialized Four-Digit Numbers
- HDU 1197 Specialized Four-Digit Numbers
- HDU 1197 Specialized Four-Digit Numbers
- HDU 1197 Specialized Four-Digit Numbers
- hdu-1197-Specialized Four-Digit Numbers
- hdu-oj 1197 Specialized Four-Digit Numbers
- HDU 1197 Specialized Four-Digit Numbers
- HDU 1205 Specialized Four-Digit Numbers
- hdu 1197 Specialized Four-Digit Numbers
- HDU 1197 Specialized Four-Digit Numbers 水题
- hdu-1197 Specialized Four-Digit Numbers
- HDU 1197 Specialized Four-Digit Numbers【水】
- hdu 1197 Specialized Four-Digit Numbers
- HDU - 1197 Specialized Four-Digit Numbers
- hdu 1197 Specialized Four-Digit Numbers
- (第2讲)jsp与javabean
- 方法和函数内在关系和操作用法的一点感想
- 有向图的拓扑排序——基于邻接矩阵
- 算法入门(5)——分支限界法
- 这是几个JAVA常用到的方法
- hdu acm 1191 Specialized Four-Digit Numbers
- Logistic回归、softmax回归以及tensorflow实现MNIST识别
- 管理oracle
- (Java)LeetCode-62. Unique Paths
- 读书笔记:C++ primer 5th edition--chapter 3.字符串,向量,数组
- linux zookeeper 集群搭建
- 【J2EE核心开发学习笔记 008】JSP的九大内置对象和四个作用域
- 顺时针打印矩阵
- Cocos2dx随机数及编译APK失败问题