{ "data": { "question": { "questionId": "1788", "questionFrontendId": "1686", "categoryTitle": "Algorithms", "boundTopicId": 518288, "title": "Stone Game VI", "titleSlug": "stone-game-vi", "content": "
Alice and Bob take turns playing a game, with Alice starting first.
\n\nThere are n
stones in a pile. On each player's turn, they can remove a stone from the pile and receive points based on the stone's value. Alice and Bob may value the stones differently.
You are given two integer arrays of length n
, aliceValues
and bobValues
. Each aliceValues[i]
and bobValues[i]
represents how Alice and Bob, respectively, value the ith
stone.
The winner is the person with the most points after all the stones are chosen. If both players have the same amount of points, the game results in a draw. Both players will play optimally. Both players know the other's values.
\n\nDetermine the result of the game, and:
\n\n1
.-1
.0
.\n
Example 1:
\n\n\nInput: aliceValues = [1,3], bobValues = [2,1]\nOutput: 1\nExplanation:\nIf Alice takes stone 1 (0-indexed) first, Alice will receive 3 points.\nBob can only choose stone 0, and will only receive 2 points.\nAlice wins.\n\n\n
Example 2:
\n\n\nInput: aliceValues = [1,2], bobValues = [3,1]\nOutput: 0\nExplanation:\nIf Alice takes stone 0, and Bob takes stone 1, they will both have 1 point.\nDraw.\n\n\n
Example 3:
\n\n\nInput: aliceValues = [2,4,3], bobValues = [1,6,7]\nOutput: -1\nExplanation:\nRegardless of how Alice plays, Bob will be able to have more points than Alice.\nFor example, if Alice takes stone 1, Bob can take stone 2, and Alice takes stone 0, Alice will have 6 points to Bob's 7.\nBob wins.\n\n\n
\n
Constraints:
\n\nn == aliceValues.length == bobValues.length
1 <= n <= 105
1 <= aliceValues[i], bobValues[i] <= 100
Alice 和 Bob 轮流玩一个游戏,Alice 先手。
\n\n一堆石子里总共有 n
个石子,轮到某个玩家时,他可以 移出 一个石子并得到这个石子的价值。Alice 和 Bob 对石子价值有 不一样的的评判标准 。双方都知道对方的评判标准。
给你两个长度为 n
的整数数组 aliceValues
和 bobValues
。aliceValues[i]
和 bobValues[i]
分别表示 Alice 和 Bob 认为第 i
个石子的价值。
所有石子都被取完后,得分较高的人为胜者。如果两个玩家得分相同,那么为平局。两位玩家都会采用 最优策略 进行游戏。
\n\n请你推断游戏的结果,用如下的方式表示:
\n\n1
。-1
。0
。\n\n
示例 1:
\n\n\n输入:aliceValues = [1,3], bobValues = [2,1]\n输出:1\n解释:\n如果 Alice 拿石子 1 (下标从 0开始),那么 Alice 可以得到 3 分。\nBob 只能选择石子 0 ,得到 2 分。\nAlice 获胜。\n\n\n
示例 2:
\n\n\n输入:aliceValues = [1,2], bobValues = [3,1]\n输出:0\n解释:\nAlice 拿石子 0 , Bob 拿石子 1 ,他们得分都为 1 分。\n打平。\n\n\n
示例 3:
\n\n\n输入:aliceValues = [2,4,3], bobValues = [1,6,7]\n输出:-1\n解释:\n不管 Alice 怎么操作,Bob 都可以得到比 Alice 更高的得分。\n比方说,Alice 拿石子 1 ,Bob 拿石子 2 , Alice 拿石子 0 ,Alice 会得到 6 分而 Bob 得分为 7 分。\nBob 会获胜。\n\n\n
\n\n
提示:
\n\nn == aliceValues.length == bobValues.length
1 <= n <= 105
1 <= aliceValues[i], bobValues[i] <= 100
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