mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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180 lines
23 KiB
JSON
180 lines
23 KiB
JSON
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"title": "Dungeon Game",
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"content": "<p>The demons had captured the princess and imprisoned her in <strong>the bottom-right corner</strong> of a <code>dungeon</code>. The <code>dungeon</code> consists of <code>m x n</code> rooms laid out in a 2D grid. Our valiant knight was initially positioned in <strong>the top-left room</strong> and must fight his way through <code>dungeon</code> to rescue the princess.</p>\n\n<p>The knight has an initial health point represented by a positive integer. If at any point his health point drops to <code>0</code> or below, he dies immediately.</p>\n\n<p>Some of the rooms are guarded by demons (represented by negative integers), so the knight loses health upon entering these rooms; other rooms are either empty (represented as 0) or contain magic orbs that increase the knight's health (represented by positive integers).</p>\n\n<p>To reach the princess as quickly as possible, the knight decides to move only <strong>rightward</strong> or <strong>downward</strong> in each step.</p>\n\n<p>Return <em>the knight's minimum initial health so that he can rescue the princess</em>.</p>\n\n<p><strong>Note</strong> that any room can contain threats or power-ups, even the first room the knight enters and the bottom-right room where the princess is imprisoned.</p>\n\n<p> </p>\n<p><strong class=\"example\">Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/03/13/dungeon-grid-1.jpg\" style=\"width: 253px; height: 253px;\" />\n<pre>\n<strong>Input:</strong> dungeon = [[-2,-3,3],[-5,-10,1],[10,30,-5]]\n<strong>Output:</strong> 7\n<strong>Explanation:</strong> The initial health of the knight must be at least 7 if he follows the optimal path: RIGHT-> RIGHT -> DOWN -> DOWN.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> dungeon = [[0]]\n<strong>Output:</strong> 1\n</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>m == dungeon.length</code></li>\n\t<li><code>n == dungeon[i].length</code></li>\n\t<li><code>1 <= m, n <= 200</code></li>\n\t<li><code>-1000 <= dungeon[i][j] <= 1000</code></li>\n</ul>\n",
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"translatedTitle": "地下城游戏",
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"translatedContent": "<style type=\"text/css\">table.dungeon, .dungeon th, .dungeon td {\n border:3px solid black;\n}\n\n .dungeon th, .dungeon td {\n text-align: center;\n height: 70px;\n width: 70px;\n}\n</style>\n<p>恶魔们抓住了公主并将她关在了地下城 <code>dungeon</code> 的 <strong>右下角</strong> 。地下城是由 <code>m x n</code> 个房间组成的二维网格。我们英勇的骑士最初被安置在 <strong>左上角</strong> 的房间里,他必须穿过地下城并通过对抗恶魔来拯救公主。</p>\n\n<p>骑士的初始健康点数为一个正整数。如果他的健康点数在某一时刻降至 0 或以下,他会立即死亡。</p>\n\n<p>有些房间由恶魔守卫,因此骑士在进入这些房间时会失去健康点数(若房间里的值为<em>负整数</em>,则表示骑士将损失健康点数);其他房间要么是空的(房间里的值为 <em>0</em>),要么包含增加骑士健康点数的魔法球(若房间里的值为<em>正整数</em>,则表示骑士将增加健康点数)。</p>\n\n<p>为了尽快解救公主,骑士决定每次只 <strong>向右</strong> 或 <strong>向下</strong> 移动一步。</p>\n\n<p>返回确保骑士能够拯救到公主所需的最低初始健康点数。</p>\n\n<p><strong>注意:</strong>任何房间都可能对骑士的健康点数造成威胁,也可能增加骑士的健康点数,包括骑士进入的左上角房间以及公主被监禁的右下角房间。</p>\n\n<p> </p>\n\n<p><strong class=\"example\">示例 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/03/13/dungeon-grid-1.jpg\" style=\"width: 253px; height: 253px;\" />\n<pre>\n<strong>输入:</strong>dungeon = [[-2,-3,3],[-5,-10,1],[10,30,-5]]\n<strong>输出:</strong>7\n<strong>解释:</strong>如果骑士遵循最佳路径:右 -> 右 -> 下 -> 下 ,则骑士的初始健康点数至少为 7 。</pre>\n\n<p><strong class=\"example\">示例 2:</strong></p>\n\n<pre>\n<strong>输入:</strong>dungeon = [[0]]\n<strong>输出:</strong>1\n</pre>\n\n<p> </p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>m == dungeon.length</code></li>\n\t<li><code>n == dungeon[i].length</code></li>\n\t<li><code>1 <= m, n <= 200</code></li>\n\t<li><code>-1000 <= dungeon[i][j] <= 1000</code></li>\n</ul>\n",
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