Description

定义n个数X1,X2,...Xn(n>1)的几乎平均数为ΣXi/(n-1)
对于给出的长度为N的一个序列S，要求回答Q个询问
每个询问会给出L,R(1<=L<R<=N)，请找出a与b(L<=a<b<=R)使得Sa,Sa+1,Sa+2,...Sb的几乎平均数最大

Input

Output

　对于每个询问回答一行，用一个既约分数表示最大的几乎平均数
　　若答案为整数x，输出x/1

Sample Input

Sample Output

Hint

数据规模和约定

　　对于所有数据|Si|<=10^6

TEST N Q TEST N Q

1 =10 =10 11 =3*10^4 =10^4

2 =100 =100 12 =4*10^4 =10^4

3 =1000 =1000 13 =5*10^4 =10^4

4 =2000 =2000 14 =6*10^4 =2*10^4

5 =5000 =5000 15 =7*10^4 =2*10^4

6 =10^4 =5000 16 =8*10^4 =3*10^4

7 =10^4 =10^4 17 =9*10^4 =3*10^4

8 =2*10^4 =5000 18 =10^5 =10

9 =2*10^4 =10^4 19 =10^5 =3*10^4

10 =3*10^4 =5000 20 =10^5 =3*10^4

Source