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B. Game with Telephone Numbers
time limit per test
1 second
memory limit per test
256 megabytes
input
standard input
output
standard output

A telephone number is a sequence of exactly $$$11$$$ digits such that its first digit is 8.

Vasya and Petya are playing a game. Initially they have a string $$$s$$$ of length $$$n$$$ ($$$n$$$ is odd) consisting of digits. Vasya makes the first move, then players alternate turns. In one move the player must choose a character and erase it from the current string. For example, if the current string 1121, after the player's move it may be 112, 111 or 121. The game ends when the length of string $$$s$$$ becomes 11. If the resulting string is a telephone number, Vasya wins, otherwise Petya wins.

You have to determine if Vasya has a winning strategy (that is, if Vasya can win the game no matter which characters Petya chooses during his moves).

Input

The first line contains one integer $$$n$$$ ($$$13 \le n < 10^5$$$, $$$n$$$ is odd) — the length of string $$$s$$$.

The second line contains the string $$$s$$$ ($$$|s| = n$$$) consisting only of decimal digits.

Output

If Vasya has a strategy that guarantees him victory, print YES.

Otherwise print NO.

Examples
Input
13
8380011223344
Output
YES
Input
15
807345619350641
Output
NO
Note

In the first example Vasya needs to erase the second character. Then Petya cannot erase a character from the remaining string 880011223344 so that it does not become a telephone number.

In the second example after Vasya's turn Petya can erase one character character 8. The resulting string can't be a telephone number, because there is no digit 8 at all.