I need a c++ program with these

Quiet numbers are 3-digit numbers (between 100 and 999) whose multiplication of their digits is less than the factorial of the last digit.

A program reads a 3-digit number and writes one (1) if it is a quiet number and zero (0) otherwise.

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For example, if the number 955 is read, zero (0) will be printed on the screen since 9 * 5 * 5 = 255 which is greater than 5! = 120

entry: 955

output: 0

================================================== ==========

For example, if the number 155 is read, one (1) will be printed on the screen since 1 * 5 * 5 = 25 than less than 5! = 120

input: 155

output: 1

================================================== ==========

For example, if the number 78 is read, zero (0) will be printed on the screen since it is not a 3-digit number

input: 78

output: 0

EXAMPLE

#include

using namespace std;

int main(){

//WRITE YOUR CODE HERE

return 0;

}