## KQUERY - K-query

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Given a sequence of n numbers a1, a2, ..., an and a number of k- queries. A k-query is a triple (i, j, k) (1 ≤ i ≤ j ≤ n). For each k-query (i, j, k), you have to return the number of elements greater than k in the subsequence ai, ai+1, ..., aj.

### Input

• Line 1: n (1 ≤ n ≤ 30000).
• Line 2: n numbers a1, a2, ..., an (1 ≤ ai ≤ 109).
• Line 3: q (1 ≤ q ≤ 200000), the number of k- queries.
• In the next q lines, each line contains 3 numbers i, j, k representing a k-query (1 ≤ i ≤ j ≤ n, 1 ≤ k ≤ 109).

### Output

• For each k-query (i, j, k), print the number of elements greater than k in the subsequence ai, ai+1, ..., aj in a single line.

### Example

Input
5
5 1 2 3 4
3
2 4 1
4 4 4
1 5 2

Output
2
0
3