{ "data": { "question": { "questionId": "3894", "questionFrontendId": "3572", "categoryTitle": "Algorithms", "boundTopicId": 3694350, "title": "Maximize Y‑Sum by Picking a Triplet of Distinct X‑Values", "titleSlug": "maximize-ysum-by-picking-a-triplet-of-distinct-xvalues", "content": "
You are given two integer arrays x
and y
, each of length n
. You must choose three distinct indices i
, j
, and k
such that:
x[i] != x[j]
x[j] != x[k]
x[k] != x[i]
Your goal is to maximize the value of y[i] + y[j] + y[k]
under these conditions. Return the maximum possible sum that can be obtained by choosing such a triplet of indices.
If no such triplet exists, return -1.
\n\n\n
Example 1:
\n\nInput: x = [1,2,1,3,2], y = [5,3,4,6,2]
\n\nOutput: 14
\n\nExplanation:
\n\ni = 0
(x[i] = 1
, y[i] = 5
), j = 1
(x[j] = 2
, y[j] = 3
), k = 3
(x[k] = 3
, y[k] = 6
).x
are distinct. 5 + 3 + 6 = 14
is the maximum we can obtain. Hence, the output is 14.Example 2:
\n\nInput: x = [1,2,1,2], y = [4,5,6,7]
\n\nOutput: -1
\n\nExplanation:
\n\nx
. Hence, the output is -1.\n
Constraints:
\n\nn == x.length == y.length
3 <= n <= 105
1 <= x[i], y[i] <= 106
给你两个整数数组 x
和 y
,长度均为 n
。你必须选择三个 不同 的下标 i
,j
和 k
,满足以下条件:
x[i] != x[j]
x[j] != x[k]
x[k] != x[i]
你的目标是在满足这些条件下 最大化 y[i] + y[j] + y[k]
的值。返回通过选择这样一组三元组下标所能获得的 最大 可能和。
如果不存在这样的三元组,返回 -1。
\n\n\n\n
示例 1:
\n\n输入:x = [1,2,1,3,2], y = [5,3,4,6,2]
\n\n输出:14
\n\n解释:
\n\ni = 0
(x[i] = 1
,y[i] = 5
),j = 1
(x[j] = 2
,y[j] = 3
),k = 3
(x[k] = 3
,y[k] = 6
)。x
中的值互不相同。5 + 3 + 6 = 14
是我们能获得的最大值。因此输出为 14。示例 2:
\n\n输入:x = [1,2,1,2], y = [4,5,6,7]
\n\n输出:-1
\n\n解释:
\n\nx
中只有两个不同的值。因此输出为 -1。\n\n
提示:
\n\nn == x.length == y.length
3 <= n <= 105
1 <= x[i], y[i] <= 106
x
, keep only the maximum y
; all other pairs with the same x
are redundant.",
"Sort the pairs by x
so that identical x
values form contiguous blocks, then take the maximum y
from each block.",
"Alternatively, use a map (or dictionary) from x
to its largest y
."
],
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