Strong Number Check

Difficulty: Hard

Phase: 2 · Looping and Patterns

XP Reward: 30 XP

Topics: Looping and Patterns, Hard

Supported Languages: Python, JavaScript, C, C++, Java

Problem Description

Check whether a given positive integer N is a Strong number (sum of factorials of its digits equals N). Print 'Yes' or 'No'. Input Format: Read input from standard input (stdin). Output Format: Print the result to standard output (stdout).

Constraints

-10^9 <= N <= 10^9

Examples

Example 1

Input: 145

Output: Yes

Explanation: Sample execution for input 145