Problem:
Score : 200 points

Problem Statement

Snuke loves working out. He is now exercising N times.

Before he starts exercising, his power is 1. After he exercises for the i-th time, his power gets multiplied by i.

Find Snuke's power after he exercises N times. Since the answer can be extremely large, print the answer modulo 10^{9}+7.

Constraints

1 ≤ N ≤ 10^{5}

Input

The input is given from Standard Input in the following format:

N

Output

Print the answer modulo 10^{9}+7.

Sample Input 1

3

Sample Output 1

6

After Snuke exercises for the first time, his power gets multiplied by 1 and becomes 1.

After Snuke exercises for the second time, his power gets multiplied by 2 and becomes 2.

After Snuke exercises for the third time, his power gets multiplied by 3 and becomes 6.

Sample Input 2

10

Sample Output 2

3628800

Sample Input 3

100000

Sample Output 3

457992974

Print the answer modulo 10^{9}+7.

Solution in Ruby (2.3.3) (judge verdict: Accepted)

# すぬけくんはトレーニングが好きなので
# N 回だけトレーニングすることにしました。
# すぬけくんのトレーニング開始前のパワーは 1 です。
# すぬけくんが i 回目のトレーニングを終えるとパワーが i 倍されます。
# すぬけくんが N 回トレーニングをしたあとのパワーを求めなさい。
# ただし、答えの値は非常に大きな値になることがあるので 
# 10^9+7 で割ったあまりを出力してください。

# トレーニングの回数を取得
n = gets.chomp.to_i

# すぬけくんのパワーの初期値は1
power = 1

# トレーニングを実施
n.times do |i|
  power *= (i + 1)
  power %= (10 ** 9 + 7)
end

# 結果を出力
puts power