Danielchandg and Bob are playing a game that consists of n levels. Some of the levels in the game are impossible to clear while others can always be cleared. In particular, if possible[i] == 0, then the i^th level is impossible to clear for both the players. A player gains 1 point on clearing a level and loses 1 point if the player fails to clear it.

At the start of the game, Danielchandg will play some levels in the given order starting from the 0^th level, after which Bob will play for the rest of the levels.

Danielchandg wants to know the minimum number of levels he should play to gain more points than Bob, if both players play optimally to maximize their points.

Return the minimum number of levels danielchandg should play to gain more points. If this is not possible, return -1.

Input: possible = [1,0,1,0]

Output: 1

Explanation:

Let's look at all the levels that Danielchandg can play up to:

If Danielchandg plays only level 0 and Bob plays the rest of the levels, Danielchandg has 1 point, while Bob has -1 + 1 - 1 = -1 point.
If Danielchandg plays till level 1 and Bob plays the rest of the levels, Danielchandg has 1 - 1 = 0 points, while Bob has 1 - 1 = 0 points.
If Danielchandg plays till level 2 and Bob plays the rest of the levels, Danielchandg has 1 - 1 + 1 = 1 point, while Bob has -1 point.

Danielchandg must play a minimum of 1 level to gain more points.

Input: possible = [1,1,1,1,1]

Output: 3

Explanation:

Let's look at all the levels that Danielchandg can play up to:

If Danielchandg plays only level 0 and Bob plays the rest of the levels, Danielchandg has 1 point, while Bob has 4 points.
If Danielchandg plays till level 1 and Bob plays the rest of the levels, Danielchandg has 2 points, while Bob has 3 points.
If Danielchandg plays till level 2 and Bob plays the rest of the levels, Danielchandg has 3 points, while Bob has 2 points.
If Danielchandg plays till level 3 and Bob plays the rest of the levels, Danielchandg has 4 points, while Bob has 1 point.

Danielchandg must play a minimum of 3 levels to gain more points.

Input: possible = [0,0]

Output: -1

Explanation:

The only possible way is for both players to play 1 level each. Danielchandg plays level 0 and loses 1 point. Bob plays level 1 and loses 1 point. As both players have equal points, Danielchandg can't gain more points than Bob.