DB002 - AMUSING SEQUENCE


Given a sequence of natural numbers .
Find it's N'th term.
a1=3, a2=9, a3=30, a4=101, a5=358, a6=1443... ...,aN

Input

Single line containing a natural number N

Output

Print N'th term of the sequence modulo 10^9+7.

Constraints

  • 1 <= N <=100

Example

Input:
5

Output:
358

hide comments
shubham9261: 2017-10-01 22:35:22

matrix exponentiation?

mahilewets: 2017-09-10 20:56:30

IQ test, lol?


Added by:bhardwaj_75
Date:2015-11-21
Time limit:1s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: ASM64 GOSU JS-MONKEY