{ "data": { "question": { "questionId": "3329", "questionFrontendId": "3043", "categoryTitle": "Algorithms", "boundTopicId": 2644027, "title": "Find the Length of the Longest Common Prefix", "titleSlug": "find-the-length-of-the-longest-common-prefix", "content": "
You are given two arrays with positive integers arr1
and arr2
.
A prefix of a positive integer is an integer formed by one or more of its digits, starting from its leftmost digit. For example, 123
is a prefix of the integer 12345
, while 234
is not.
A common prefix of two integers a
and b
is an integer c
, such that c
is a prefix of both a
and b
. For example, 5655359
and 56554
have a common prefix 565
while 1223
and 43456
do not have a common prefix.
You need to find the length of the longest common prefix between all pairs of integers (x, y)
such that x
belongs to arr1
and y
belongs to arr2
.
Return the length of the longest common prefix among all pairs. If no common prefix exists among them, return 0
.
\n
Example 1:
\n\n\nInput: arr1 = [1,10,100], arr2 = [1000]\nOutput: 3\nExplanation: There are 3 pairs (arr1[i], arr2[j]):\n- The longest common prefix of (1, 1000) is 1.\n- The longest common prefix of (10, 1000) is 10.\n- The longest common prefix of (100, 1000) is 100.\nThe longest common prefix is 100 with a length of 3.\n\n\n
Example 2:
\n\n\nInput: arr1 = [1,2,3], arr2 = [4,4,4]\nOutput: 0\nExplanation: There exists no common prefix for any pair (arr1[i], arr2[j]), hence we return 0.\nNote that common prefixes between elements of the same array do not count.\n\n\n
\n
Constraints:
\n\n1 <= arr1.length, arr2.length <= 5 * 104
1 <= arr1[i], arr2[i] <= 108
给你两个 正整数 数组 arr1
和 arr2
。
正整数的 前缀 是其 最左边 的一位或多位数字组成的整数。例如,123
是整数 12345
的前缀,而 234
不是 。
设若整数 c
是整数 a
和 b
的 公共前缀 ,那么 c
需要同时是 a
和 b
的前缀。例如,5655359
和 56554
有公共前缀 565
,而 1223
和 43456
没有 公共前缀。
你需要找出属于 arr1
的整数 x
和属于 arr2
的整数 y
组成的所有数对 (x, y)
之中最长的公共前缀的长度。
返回所有数对之中最长公共前缀的长度。如果它们之间不存在公共前缀,则返回 0
。
\n\n
示例 1:
\n\n\n输入:arr1 = [1,10,100], arr2 = [1000]\n输出:3\n解释:存在 3 个数对 (arr1[i], arr2[j]) :\n- (1, 1000) 的最长公共前缀是 1 。\n- (10, 1000) 的最长公共前缀是 10 。\n- (100, 1000) 的最长公共前缀是 100 。\n最长的公共前缀是 100 ,长度为 3 。\n\n\n
示例 2:
\n\n\n输入:arr1 = [1,2,3], arr2 = [4,4,4]\n输出:0\n解释:任何数对 (arr1[i], arr2[j]) 之中都不存在公共前缀,因此返回 0 。\n请注意,同一个数组内元素之间的公共前缀不在考虑范围内。\n\n\n
\n\n
提示:
\n\n1 <= arr1.length, arr2.length <= 5 * 104
1 <= arr1[i], arr2[i] <= 108
arr1
into a HashSet.",
"For all the possible prefixes of each element in arr2
, check if it exists in the HashSet."
],
"solution": null,
"status": null,
"sampleTestCase": "[1,10,100]\n[1000]",
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