题号：NC24618
时间限制：C/C++/Rust/Pascal 1秒，其他语言2秒
空间限制：C/C++/Rust/Pascal 32 M，其他语言64 M
64bit IO Format: %lld
时间限制：C/C++/Rust/Pascal 1秒，其他语言2秒
空间限制：C/C++/Rust/Pascal 32 M，其他语言64 M
64bit IO Format: %lld
题目描述
Farmer John's N (1 <= N <= 100,000) cows are lined up in a row and numbered 1..N. The cows are conducting another one of their strange protests, so each cow i is holding up a sign with an integer 
(-10,000 <= <= 10,000).
FJ knows the mob of cows will behave if they are properly grouped and thus would like to arrange the cows into one or more contiguous groups so that every cow is in exactly one group and that every group has a nonnegative sum.
Help him count the number of ways he can do this, modulo 1,000,000,009.
FJ knows the mob of cows will behave if they are properly grouped and thus would like to arrange the cows into one or more contiguous groups so that every cow is in exactly one group and that every group has a nonnegative sum.
Help him count the number of ways he can do this, modulo 1,000,000,009.
By way of example, if N = 4 and the cows' signs are 2, 3, -3, and 1, then the following are the only four valid ways of arranging the cows:
(2 3 -3 1) (2 3 -3) (1) (2) (3 -3 1) (2) (3 -3) (1) Note that this example demonstrates the rule for counting different orders of the arrangements.
输入描述:
* Line 1: A single integer: N
* Lines 2..N+1: Line i+1 contains a single integer:
输出描述:
* Line 1: A single integer that is the number of ways he can do this