Virtual contest is a way to take part in past contest, as close as possible to participation on time. It is supported only ACM-ICPC mode for virtual contests.
If you've seen these problems, a virtual contest is not for you - solve these problems in the archive.
If you just want to solve some problem from a contest, a virtual contest is not for you - solve this problem in the archive.
Never use someone else's code, read the tutorials or communicate with other person during a virtual contest.

No tag edit access

A. Equator

time limit per test

2 secondsmemory limit per test

256 megabytesinput

standard inputoutput

standard outputPolycarp has created his own training plan to prepare for the programming contests. He will train for $$$n$$$ days, all days are numbered from $$$1$$$ to $$$n$$$, beginning from the first.

On the $$$i$$$-th day Polycarp will necessarily solve $$$a_i$$$ problems. One evening Polycarp plans to celebrate the equator. He will celebrate it on the first evening of such a day that from the beginning of the training and to this day inclusive he will solve half or more of all the problems.

Determine the index of day when Polycarp will celebrate the equator.

Input

The first line contains a single integer $$$n$$$ ($$$1 \le n \le 200\,000$$$) — the number of days to prepare for the programming contests.

The second line contains a sequence $$$a_1, a_2, \dots, a_n$$$ ($$$1 \le a_i \le 10\,000$$$), where $$$a_i$$$ equals to the number of problems, which Polycarp will solve on the $$$i$$$-th day.

Output

Print the index of the day when Polycarp will celebrate the equator.

Examples

Input

4

1 3 2 1

Output

2

Input

6

2 2 2 2 2 2

Output

3

Note

In the first example Polycarp will celebrate the equator on the evening of the second day, because up to this day (inclusive) he will solve $$$4$$$ out of $$$7$$$ scheduled problems on four days of the training.

In the second example Polycarp will celebrate the equator on the evening of the third day, because up to this day (inclusive) he will solve $$$6$$$ out of $$$12$$$ scheduled problems on six days of the training.

Codeforces (c) Copyright 2010-2018 Mike Mirzayanov

The only programming contests Web 2.0 platform

Server time: Aug/22/2018 01:19:24 (f1).

Desktop version, switch to mobile version.

User lists

Name |
---|