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DB002 - AMUSING SEQUENCE

Given a sequence of natural numbers, find its N'th term.

a1 = 3, a2 = 9, a3 = 30, a4 = 101, a5 = 358, a6 = 1443 ... aN

Input

A single line containing a natural number N.

Output

Print the N'th term of the sequence modulo 109+7.

Constraints

  • 1 ≤ N ≤ 100

Example

Input:
5

Output:
358

Adicionado por:bhardwaj_75
Data:2015-11-21
Tempo limite:1s
Tamanho do fonte:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Linguagem permitida:Todas exceto: ASM64 CLOJURE ERL FSHARP GOSU JS-MONKEY PERL6 PY_NBC SCALA TCL
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