{ "data": { "question": { "questionId": "2839", "questionFrontendId": "2736", "categoryTitle": "Algorithms", "boundTopicId": 2303156, "title": "Maximum Sum Queries", "titleSlug": "maximum-sum-queries", "content": "
You are given two 0-indexed integer arrays nums1
and nums2
, each of length n
, and a 1-indexed 2D array queries
where queries[i] = [xi, yi]
.
For the ith
query, find the maximum value of nums1[j] + nums2[j]
among all indices j
(0 <= j < n)
, where nums1[j] >= xi
and nums2[j] >= yi
, or -1 if there is no j
satisfying the constraints.
Return an array answer
where answer[i]
is the answer to the ith
query.
\n
Example 1:
\n\n\nInput: nums1 = [4,3,1,2], nums2 = [2,4,9,5], queries = [[4,1],[1,3],[2,5]]\nOutput: [6,10,7]\nExplanation: \nFor the 1st query\n\nxi = 4
andyi = 1
, we can select indexj = 0
sincenums1[j] >= 4
andnums2[j] >= 1
. The sumnums1[j] + nums2[j]
is 6, and we can show that 6 is the maximum we can obtain.\n\nFor the 2nd queryxi = 1
andyi = 3
, we can select indexj = 2
sincenums1[j] >= 1
andnums2[j] >= 3
. The sumnums1[j] + nums2[j]
is 10, and we can show that 10 is the maximum we can obtain. \n\nFor the 3rd queryxi = 2
andyi = 5
, we can select indexj = 3
sincenums1[j] >= 2
andnums2[j] >= 5
. The sumnums1[j] + nums2[j]
is 7, and we can show that 7 is the maximum we can obtain.\n\nTherefore, we return[6,10,7]
.\n
Example 2:
\n\n\nInput: nums1 = [3,2,5], nums2 = [2,3,4], queries = [[4,4],[3,2],[1,1]]\nOutput: [9,9,9]\nExplanation: For this example, we can use index j = 2
for all the queries since it satisfies the constraints for each query.\n
\n\nExample 3:
\n\n\nInput: nums1 = [2,1], nums2 = [2,3], queries = [[3,3]]\nOutput: [-1]\nExplanation: There is one query in this example with\n\nxi
= 3 andyi
= 3. For every index, j, either nums1[j] <xi
or nums2[j] <yi
. Hence, there is no solution. \n
\n
Constraints:
\n\nnums1.length == nums2.length
n == nums1.length
1 <= n <= 105
1 <= nums1[i], nums2[i] <= 109
1 <= queries.length <= 105
queries[i].length == 2
xi == queries[i][1]
yi == queries[i][2]
1 <= xi, yi <= 109
给你两个长度为 n
、下标从 0 开始的整数数组 nums1
和 nums2
,另给你一个下标从 1 开始的二维数组 queries
,其中 queries[i] = [xi, yi]
。
对于第 i
个查询,在所有满足 nums1[j] >= xi
且 nums2[j] >= yi
的下标 j
(0 <= j < n)
中,找出 nums1[j] + nums2[j]
的 最大值 ,如果不存在满足条件的 j
则返回 -1 。
返回数组 answer
,其中 answer[i]
是第 i
个查询的答案。
\n\n
示例 1:
\n\n输入:nums1 = [4,3,1,2], nums2 = [2,4,9,5], queries = [[4,1],[1,3],[2,5]]\n输出:[6,10,7]\n解释:\n对于第 1 个查询:\n\nxi = 4
且yi = 1
,可以选择下标j = 0
,此时nums1[j] >= 4
且nums2[j] >= 1
。nums1[j] + nums2[j]
等于 6 ,可以证明 6 是可以获得的最大值。\n对于第 2 个查询:xi = 1
且yi = 3
,可以选择下标j = 2
,此时nums1[j] >= 1
且nums2[j] >= 3
。nums1[j] + nums2[j]
等于 10 ,可以证明 10 是可以获得的最大值。\n对于第 3 个查询:xi = 2
且yi = 5
,可以选择下标j = 3
,此时nums1[j] >= 2
且nums2[j] >= 5
。nums1[j] + nums2[j]
等于 7 ,可以证明 7 是可以获得的最大值。\n因此,我们返回[6,10,7]
。\n
示例 2:
\n\n输入:nums1 = [3,2,5], nums2 = [2,3,4], queries = [[4,4],[3,2],[1,1]]\n输出:[9,9,9]\n解释:对于这个示例,我们可以选择下标 j = 2
,该下标可以满足每个查询的限制。\n
\n\n示例 3:
\n\n输入:nums1 = [2,1], nums2 = [2,3], queries = [[3,3]]\n输出:[-1]\n解释:示例中的查询\n\nxi
= 3 且yi
= 3 。对于每个下标 j ,都只满足 nums1[j] <xi
或者 nums2[j] <yi
。因此,不存在答案。 \n
\n\n
提示:
\n\nnums1.length == nums2.length
n == nums1.length
1 <= n <= 105
1 <= nums1[i], nums2[i] <= 109
1 <= queries.length <= 105
queries[i].length == 2
xi == queries[i][1]
yi == queries[i][2]
1 <= xi, yi <= 109
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