Winter is coming! During the contest, your first job is to design a standard heater with a fixed warm radius to warm all the houses.
\n\nEvery house can be warmed, as long as the house is within the heater's warm radius range.
\n\nGiven the positions of houses and heaters on a horizontal line, return the minimum radius standard of heaters so that those heaters could cover all houses.
Notice that all the heaters follow your radius standard, and the warm radius will the same.
\n
Example 1:
\n\n\nInput: houses = [1,2,3], heaters = [2]\nOutput: 1\nExplanation: The only heater was placed in the position 2, and if we use the radius 1 standard, then all the houses can be warmed.\n\n\n
Example 2:
\n\n\nInput: houses = [1,2,3,4], heaters = [1,4]\nOutput: 1\nExplanation: The two heaters were placed at positions 1 and 4. We need to use a radius 1 standard, then all the houses can be warmed.\n\n\n
Example 3:
\n\n\nInput: houses = [1,5], heaters = [2]\nOutput: 3\n\n\n
\n
Constraints:
\n\n1 <= houses.length, heaters.length <= 3 * 1041 <= houses[i], heaters[i] <= 109冬季已经来临。 你的任务是设计一个有固定加热半径的供暖器向所有房屋供暖。
\n\n在加热器的加热半径范围内的每个房屋都可以获得供暖。
\n\n现在，给出位于一条水平线上的房屋 houses 和供暖器 heaters 的位置，请你找出并返回可以覆盖所有房屋的最小加热半径。
注意：所有供暖器 heaters 都遵循你的半径标准，加热的半径也一样。
\n\n
示例 1:
\n\n\n输入: houses = [1,2,3], heaters = [2]\n输出: 1\n解释: 仅在位置 2 上有一个供暖器。如果我们将加热半径设为 1，那么所有房屋就都能得到供暖。\n\n\n
示例 2:
\n\n\n输入: houses = [1,2,3,4], heaters = [1,4]\n输出: 1\n解释: 在位置 1, 4 上有两个供暖器。我们需要将加热半径设为 1，这样所有房屋就都能得到供暖。\n\n\n
示例 3：
\n\n\n输入：houses = [1,5], heaters = [2]\n输出：3\n\n\n
\n\n
提示：
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collections<\\/a>\\u3002\\u5982\\u679c\\u60a8\\u9700\\u8981\\u4f7f\\u7528\\u5176\\u4ed6\\u5e93\\u51fd\\u6570\\uff0c\\u8bf7\\u81ea\\u884c\\u5bfc\\u5165\\u3002<\\/p>\\r\\n\\r\\n \\u6ce8\\u610f Python 2.7 \\u5c06\\u57282020\\u5e74\\u540e\\u4e0d\\u518d\\u7ef4\\u62a4<\\/a>\\u3002 \\u5982\\u60f3\\u4f7f\\u7528\\u6700\\u65b0\\u7248\\u7684Python\\uff0c\\u8bf7\\u9009\\u62e9Python 3\\u3002<\\/p>\"],\"c\":[\"C\",\" \\u7248\\u672c\\uff1a \\u7f16\\u8bd1\\u65f6\\uff0c\\u5c06\\u4f1a\\u91c7\\u7528 \\u4e3a\\u4e86\\u4f7f\\u7528\\u65b9\\u4fbf\\uff0c\\u5927\\u90e8\\u5206\\u6807\\u51c6\\u5e93\\u7684\\u5934\\u6587\\u4ef6\\u5df2\\u7ecf\\u88ab\\u81ea\\u52a8\\u5bfc\\u5165\\u3002<\\/p>\\r\\n\\r\\n \\u5982\\u60f3\\u4f7f\\u7528\\u54c8\\u5e0c\\u8868\\u8fd0\\u7b97, \\u60a8\\u53ef\\u4ee5\\u4f7f\\u7528 uthash<\\/a>\\u3002 \\\"uthash.h\\\"\\u5df2\\u7ecf\\u9ed8\\u8ba4\\u88ab\\u5bfc\\u5165\\u3002\\u8bf7\\u770b\\u5982\\u4e0b\\u793a\\u4f8b:<\\/p>\\r\\n\\r\\n 1. 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