B. DDoS

time limit per test

2 secondsmemory limit per test

256 megabytesinput

standard inputoutput

standard outputWe get more and more news about DDoS-attacks of popular websites.

Arseny is an admin and he thinks that a website is under a DDoS-attack if the total number of requests for a some period of time exceeds $$$100 \cdot t$$$, where $$$t$$$ — the number of seconds in this time segment.

Arseny knows statistics on the number of requests per second since the server is booted. He knows the sequence $$$r_1, r_2, \dots, r_n$$$, where $$$r_i$$$ — the number of requests in the $$$i$$$-th second after boot.

Determine the length of the longest continuous period of time, which Arseny considers to be a DDoS-attack. A seeking time period should not go beyond the boundaries of the segment $$$[1, n]$$$.

Input

The first line contains $$$n$$$ ($$$1 \le n \le 5000$$$) — number of seconds since server has been booted. The second line contains sequence of integers $$$r_1, r_2, \dots, r_n$$$ ($$$0 \le r_i \le 5000$$$), $$$r_i$$$ — number of requests in the $$$i$$$-th second.

Output

Print the only integer number — the length of the longest time period which is considered to be a DDoS-attack by Arseny. If it doesn't exist print 0.

Examples

Input

5

100 200 1 1 1

Output

3

Input

5

1 2 3 4 5

Output

0

Input

2

101 99

Output

1

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