Problem: You are given array a with n integers and m queries. The i-th query is given with three integers li, ri, xi.

For the i-th query find any position pi (li ≤ pi ≤ ri) so that api ≠ xi.

Input

The first line contains two integers n, m (1 ≤ n, m ≤ 2·105) — the number of elements in a and the number of queries.

The second line contains n integers ai (1 ≤ ai ≤ 106) — the elements of the array a.

Each of the next m lines contains three integers li, ri, xi (1 ≤ li ≤ ri ≤ n, 1 ≤ xi ≤ 106) — the parameters of the i-th query.

Output

Print m lines. On the i-th line print integer pi — the position of any number not equal to xi in segment [li, ri] or the value  - 1 if there is no such number.

Examples

Input

6 4
1 2 1 1 3 5
1 4 1
2 6 2
3 4 1
3 4 2


Output

2
6
-1
4

Solution (in PYTHON3):

Solution:
n,m=map(int,input().split())
a=input().split()
p=[0 for i in range(n)]
p[0]=-1
ans=[]
for i in range(1,n):
    if a[i]==a[i-1]:
        p[i]=p[i-1]
    else:
        p[i]=i-1
for i in range(m):
    s=input().split()
    r=int(s[1])
    if a[r-1]!=s[2]:
        ans+=[str(r)]
    else:
        if p[r-1]>=int(s[0])-1:
            ans+=[str(p[r-1]+1)]
        else:
            ans+=['-1']
print('\n'.join(ans))