762 B
		
	
	
	
	
	
	
	
			
		
		
	
	
			762 B
		
	
	
	
	
	
	
	
id, title, challengeType, forumTopicId, dashedName
| id | title | challengeType | forumTopicId | dashedName | 
|---|---|---|---|---|
| 5900f5361000cf542c510049 | Problem 458: Permutations of Project | 5 | 302132 | problem-458-permutations-of-project | 
--description--
Consider the alphabet A made out of the letters of the word "project": A={c,e,j,o,p,r,t}.
Let T(n) be the number of strings of length n consisting of letters from A that do not have a substring that is one of the 5040 permutations of "project".
T(7)=77-7!=818503.
Find T(1012). Give the last 9 digits of your answer.
--hints--
euler458() should return 423341841.
assert.strictEqual(euler458(), 423341841);
--seed--
--seed-contents--
function euler458() {
  return true;
}
euler458();
--solutions--
// solution required