leetcode-problemset/leetcode-cn/originData/minimum-levels-to-gain-more-points.json

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        "question": {
            "questionId": "3355",
            "questionFrontendId": "3096",
            "categoryTitle": "Algorithms",
            "boundTopicId": 2713737,
            "title": "Minimum Levels to Gain More Points",
            "titleSlug": "minimum-levels-to-gain-more-points",
            "content": "<p>You are given a binary array <code>possible</code> of length <code>n</code>.</p>\n\n<p>Danielchandg and Bob are playing a game that consists of <code>n</code> levels. Some of the levels in the game are <strong>impossible</strong> to clear while others can <strong>always</strong> be cleared. In particular, if <code>possible[i] == 0</code>, then the <code>i<sup>th</sup></code> level is <strong>impossible</strong> to clear for <strong>both</strong> the players. A player gains <code>1</code> point on clearing a level and loses <code>1</code> point if the player fails to clear it.</p>\n\n<p>At the start of the game, Danielchandg will play some levels in the <strong>given order</strong> starting from the <code>0<sup>th</sup></code> level, after which Bob will play for the rest of the levels.</p>\n\n<p>Danielchandg wants to know the <strong>minimum</strong> number of levels he should play to gain more points than Bob, if both players play optimally to <strong>maximize</strong> their points.</p>\n\n<p>Return <em>the <strong>minimum</strong> number of levels danielchandg should play to gain more points</em>. <em>If this is <strong>not</strong> possible, return</em> <code>-1</code>.</p>\n\n<p><strong>Note</strong> that each player must play at least <code>1</code> level.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">possible = [1,0,1,0]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">1</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>Let&#39;s look at all the levels that Danielchandg can play up to:</p>\n\n<ul>\n\t<li>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.</li>\n\t<li>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.</li>\n\t<li>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.</li>\n</ul>\n\n<p>Danielchandg must play a minimum of 1 level to gain more points.</p>\n</div>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">possible = [1,1,1,1,1]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">3</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>Let&#39;s look at all the levels that Danielchandg can play up to:</p>\n\n<ul>\n\t<li>If Danielchandg plays only level 0 and Bob plays the rest of the levels, Danielchandg has 1 point, while Bob has 4 points.</li>\n\t<li>If Danielchandg plays till level 1 and Bob plays the rest of the levels, Danielchandg has 2 points, while Bob has 3 points.</li>\n\t<li>If Danielchandg plays till level 2 and Bob plays the rest of the levels, Danielchandg has 3 points, while Bob has 2 points.</li>\n\t<li>If Danielchandg plays till level 3 and Bob plays the rest of the levels, Danielchandg has 4 points, while Bob has 1 point.</li>\n</ul>\n\n<p>Danielchandg must play a minimum of 3 levels to gain more points.</p>\n</div>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">possible = [0,0]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">-1</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>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&#39;t gain more points than Bob.</p>\n</div>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>2 &lt;= n == possible.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>possible[i]</code> is either <code>0</code> or <code>1</code>.</li>\n</ul>\n",
            "translatedTitle": "得到更多分数的最少关卡数目",
            "translatedContent": "<p>给你一个长度为 <code>n</code>&nbsp;的二进制数组&nbsp;<code>possible</code>&nbsp;。</p>\n\n<p>莉叩酱和冬坂五百里正在玩一个有 <code>n</code> 个关卡的游戏，游戏中有一些关卡是 <strong>困难</strong>&nbsp;模式，其他的关卡是 <strong>简单</strong>&nbsp;模式。如果&nbsp;<code>possible[i] == 0</code>&nbsp;，那么第&nbsp;<code>i</code> 个关卡是 <strong>困难</strong>&nbsp;模式。一个玩家通过一个简单模式的关卡可以获得 <code>1</code>&nbsp;分，通过困难模式的关卡将失去 <code>1</code>&nbsp;分。</p>\n\n<p>游戏的一开始，莉叩酱将从第 <code>0</code>&nbsp;级开始 <strong>按顺序</strong> 完成一些关卡，然后冬坂五百里会完成剩下的所有关卡。</p>\n\n<p>假设两名玩家都采取最优策略，目的是&nbsp;<strong>最大化</strong>&nbsp;自己的得分，莉叩酱想知道自己&nbsp;<strong>最少</strong> 需要完成多少个关卡，才能获得比冬坂五百里更多的分数。</p>\n\n<p>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 <strong>最少</strong> 关卡数目，如果 <strong>无法</strong>&nbsp;达成，那么返回 <code>-1</code>&nbsp;。</p>\n\n<p><strong>注意</strong>，每个玩家都至少需要完成&nbsp;<code>1</code> 个关卡。</p>\n\n<p>&nbsp;</p>\n\n<p><strong class=\"example\">示例 1：</strong></p>\n\n<div class=\"example-block\">\n<p><span class=\"example-io\"><b>输入：</b>possible = [1,0,1,0]</span></p>\n\n<p><span class=\"example-io\"><b>输出：</b>1</span></p>\n\n<p><strong>解释：</strong></p>\n\n<p>我们来看一下莉叩酱可以完成的关卡数目：</p>\n\n<ul>\n\t<li>如果莉叩酱只完成关卡 0 ，冬坂五百里完成剩下的所有关卡，那么莉叩酱获得 1 分，冬坂五百里获得 -1 + 1 - 1 = -1 分。</li>\n\t<li>如果莉叩酱完成到关卡 1 ，冬坂五百里完成剩下的所有关卡，那么莉叩酱获得&nbsp;1 - 1 = 0 分，冬坂五百里获得 1 - 1 = 0 分。</li>\n\t<li>如果莉叩酱完成到关卡 2 ，冬坂五百里完成剩下的所有关卡，那么莉叩酱获得&nbsp;1 - 1 + 1 = 1 分，冬坂五百里获得 -1 分。</li>\n</ul>\n\n<p>莉叩酱需要完成至少一个关卡获得更多的分数。</p>\n</div>\n\n<p><strong class=\"example\">示例 2：</strong></p>\n\n<div class=\"example-block\">\n<p><span class=\"example-io\"><b>输入：</b>possible = [1,1,1,1,1]</span></p>\n\n<p><span class=\"example-io\"><b>输出：</b>3</span></p>\n\n<p><strong>解释：</strong></p>\n\n<p>我们来看一下莉叩酱可以完成的关卡数目：</p>\n\n<ul>\n\t<li>如果莉叩酱只完成关卡 0 ，冬坂五百里完成剩下的所有关卡，那么莉叩酱获得 1 分，冬坂五百里获得 4 分。</li>\n\t<li>如果莉叩酱完成到关卡 1 ，冬坂五百里完成剩下的所有关卡，那么莉叩酱获得&nbsp;2 分，冬坂五百里获得 3 分。</li>\n\t<li>如果莉叩酱完成到关卡 2 ，冬坂五百里完成剩下的所有关卡，那么莉叩酱获得&nbsp;3 分，冬坂五百里获得 2&nbsp;分。</li>\n\t<li>如果莉叩酱完成到关卡 3&nbsp;，冬坂五百里完成剩下的所有关卡，那么莉叩酱获得 4&nbsp;分，冬坂五百里获得 1&nbsp;分。</li>\n</ul>\n\n<p>莉叩酱需要完成至少三个关卡获得更多的分数。</p>\n</div>\n\n<p><strong class=\"example\">示例 3：</strong></p>\n\n<div class=\"example-block\">\n<p><span class=\"example-io\"><b>输入：</b>possible = [0,0]</span></p>\n\n<p><span class=\"example-io\"><b>输出：</b>-1</span></p>\n\n<p><strong>解释：</strong></p>\n\n<p>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。</p>\n</div>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>2 &lt;= n == possible.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>possible[i]</code>&nbsp;要么是&nbsp;<code>0</code>&nbsp;要么是&nbsp;<code>1</code> 。</li>\n</ul>\n",
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target=\\\"_blank\\\">Apple\\u653e\\u51fa\\u7684\\u6700\\u65b0\\u7248Swift<\\/a>\\u3002\\u5982\\u679c\\u60a8\\u53d1\\u73b0Swift\\u4e0d\\u662f\\u6700\\u65b0\\u7248\\u7684\\uff0c\\u8bf7\\u8054\\u7cfb\\u6211\\u4eec\\uff01\\u6211\\u4eec\\u5c06\\u5c3d\\u5feb\\u66f4\\u65b0\\u3002<\\/p>\"],\"golang\":[\"Go\",\"<p>\\u7248\\u672c\\uff1a<code>Go 1.21<\\/code><\\/p>\\r\\n\\r\\n<p>\\u652f\\u6301 <a href=\\\"https:\\/\\/pkg.go.dev\\/github.com\\/emirpasic\\/gods@v1.18.1\\\" target=\\\"_blank\\\">https:\\/\\/pkg.go.dev\\/github.com\\/emirpasic\\/gods@v1.18.1<\\/a> \\u548c <a href=\\\"https:\\/\\/pkg.go.dev\\/github.com\\/emirpasic\\/gods\\/v2@v2.0.0-alpha\\\" target=\\\"_blank\\\">https:\\/\\/pkg.go.dev\\/github.com\\/emirpasic\\/gods\\/v2@v2.0.0-alpha<\\/a> \\u7b2c\\u4e09\\u65b9\\u5e93\\u3002<\\/p>\"],\"python3\":[\"Python3\",\"<p>\\u7248\\u672c\\uff1a<code>Python 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