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B. Interesting drink

time limit per test

2 secondsmemory limit per test

256 megabytesinput

standard inputoutput

standard outputVasiliy likes to rest after a hard work, so you may often meet him in some bar nearby. As all programmers do, he loves the famous drink "Beecola", which can be bought in *n* different shops in the city. It's known that the price of one bottle in the shop *i* is equal to *x*_{i} coins.

Vasiliy plans to buy his favorite drink for *q* consecutive days. He knows, that on the *i*-th day he will be able to spent *m*_{i} coins. Now, for each of the days he want to know in how many different shops he can buy a bottle of "Beecola".

Input

The first line of the input contains a single integer *n* (1 ≤ *n* ≤ 100 000) — the number of shops in the city that sell Vasiliy's favourite drink.

The second line contains *n* integers *x*_{i} (1 ≤ *x*_{i} ≤ 100 000) — prices of the bottles of the drink in the *i*-th shop.

The third line contains a single integer *q* (1 ≤ *q* ≤ 100 000) — the number of days Vasiliy plans to buy the drink.

Then follow *q* lines each containing one integer *m*_{i} (1 ≤ *m*_{i} ≤ 10^{9}) — the number of coins Vasiliy can spent on the *i*-th day.

Output

Print *q* integers. The *i*-th of them should be equal to the number of shops where Vasiliy will be able to buy a bottle of the drink on the *i*-th day.

Example

Input

5

3 10 8 6 11

4

1

10

3

11

Output

0

4

1

5

Note

On the first day, Vasiliy won't be able to buy a drink in any of the shops.

On the second day, Vasiliy can buy a drink in the shops 1, 2, 3 and 4.

On the third day, Vasiliy can buy a drink only in the shop number 1.

Finally, on the last day Vasiliy can buy a drink in any shop.

Codeforces (c) Copyright 2010-2022 Mike Mirzayanov

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