Let *A*_{n} = sin(1–sin(2+sin(3–sin(4+…sin(*n*))…)

Let *S*_{n} = (…(*A*_{1}+*n*)*A*_{2}+*n*–1)*A*_{3}+…+2)*A*_{n}+1

For given *N* print *S*_{N}

### Input

One integer *N*. 1 ≤ *N* ≤ 200

### Output

### Sample

input | output |
---|

3 | ((sin(1)+3)sin(1–sin(2))+2)sin(1–sin(2+sin(3)))+1 |

**Problem Author: **Vladimir Gladkov

**Problem Source: **Ural Collegiate Programming Contest, April 2001, Perm, Test Round