FactorialSystem (code jam china round2 300分真题) (第二轮淘汰赛)

Problem Statement

    

In the factorial number system the value of the first digit (from the right) is 1!, the value of the second digit is 2!, ..., and the value of the n-th digit is n!. This means that any decimal number d can be written in this system as: anan-1...a2a1, where

d = an * n! + an-1 * (n-1)! + ... + a2 * 2! + a1 * 1! and 0 <= ai <= i for all i.

Given an int num in decimal, return its representation in the factorial number system.

 

Definition

    

Class:

FactorialSystem

Method:

convert

Parameters:

int

Returns:

int

Method signature:

int convert(int num)

(be sure your method is public)

Notes

-

n! = 1 * 2 * ... * n

 

Constraints

-

num will be between 1 and 3628799 (10!-1), inclusive.

 

Examples

0)

 

    

1

Returns: 1

 

1)

 

    

24

Returns: 1000

24 = 4!

2)

 

    

153

Returns: 11111

153 = 1! + 2! + 3! + 4! + 5!.

3)

 

    

133

Returns: 10201

 

4)

 

    

3628799

Returns: 987654321

Largest possible input.

 

 

This problem statement is the exclusive and proprietary property of TopCoder, Inc. Any unauthorized use or reproduction of this information without the prior written consent of TopCoder, Inc. is strictly prohibited. (c)2003, TopCoder, Inc. All rights reserved.

From: http://www.blogjava.net/emu/category/2769.html

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