{ "data": { "question": { "questionId": "3355", "questionFrontendId": "3096", "categoryTitle": "Algorithms", "boundTopicId": 2713737, "title": "Minimum Levels to Gain More Points", "titleSlug": "minimum-levels-to-gain-more-points", "content": "

You are given a binary array possible of length n.

\n\n

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 ith 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.

\n\n

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

\n\n

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.

\n\n

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

\n\n

Note that each player must play at least 1 level.

\n\n

 

\n

Example 1:

\n\n
\n

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

\n\n

Output: 1

\n\n

Explanation:

\n\n

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

\n\n\n\n

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

\n
\n\n

Example 2:

\n\n
\n

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

\n\n

Output: 3

\n\n

Explanation:

\n\n

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

\n\n\n\n

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

\n
\n\n

Example 3:

\n\n
\n

Input: possible = [0,0]

\n\n

Output: -1

\n\n

Explanation:

\n\n

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.

\n
\n\n

 

\n

Constraints:

\n\n\n", "translatedTitle": "得到更多分数的最少关卡数目", "translatedContent": "

给你一个长度为 n 的二进制数组 possible 。

\n\n

莉叩酱和冬坂五百里正在玩一个有 n 个关卡的游戏,游戏中有一些关卡是 困难 模式,其他的关卡是 简单 模式。如果 possible[i] == 0 ,那么第 i 个关卡是 困难 模式。一个玩家通过一个简单模式的关卡可以获得 1 分,通过困难模式的关卡将失去 1 分。

\n\n

游戏的一开始,莉叩酱将从第 0 级开始 按顺序 完成一些关卡,然后冬坂五百里会完成剩下的所有关卡。

\n\n

假设两名玩家都采取最优策略,目的是 最大化 自己的得分,莉叩酱想知道自己 最少 需要完成多少个关卡,才能获得比冬坂五百里更多的分数。

\n\n

请你返回莉叩酱获得比冬坂五百里更多的分数所需要完成的 最少 关卡数目,如果 无法 达成,那么返回 -1 。

\n\n

注意,每个玩家都至少需要完成 1 个关卡。

\n\n

 

\n\n

示例 1:

\n\n
\n

输入:possible = [1,0,1,0]

\n\n

输出:1

\n\n

解释:

\n\n

我们来看一下莉叩酱可以完成的关卡数目:

\n\n\n\n

莉叩酱需要完成至少一个关卡获得更多的分数。

\n
\n\n

示例 2:

\n\n
\n

输入:possible = [1,1,1,1,1]

\n\n

输出:3

\n\n

解释:

\n\n

我们来看一下莉叩酱可以完成的关卡数目:

\n\n\n\n

莉叩酱需要完成至少三个关卡获得更多的分数。

\n
\n\n

示例 3:

\n\n
\n

输入:possible = [0,0]

\n\n

输出:-1

\n\n

解释:

\n\n

两名玩家只能各完成 1 个关卡,莉叩酱完成关卡 0 得到 -1 分,冬坂五百里完成关卡 1 得到 -1 分。两名玩家得分相同,所以莉叩酱无法得到更多分数。

\n
\n\n

 

\n\n

提示:

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