{ "data": { "question": { "questionId": "1303", "questionFrontendId": "2139", "categoryTitle": "Algorithms", "boundTopicId": 43610, "title": "Minimum Moves to Reach Target Score", "titleSlug": "minimum-moves-to-reach-target-score", "content": "
You are playing a game with integers. You start with the integer 1
and you want to reach the integer target
.
In one move, you can either:
\n\nx = x + 1
).x = 2 * x
).You can use the increment operation any number of times, however, you can only use the double operation at most maxDoubles
times.
Given the two integers target
and maxDoubles
, return the minimum number of moves needed to reach target
starting with 1
.
\n
Example 1:
\n\n\nInput: target = 5, maxDoubles = 0\nOutput: 4\nExplanation: Keep incrementing by 1 until you reach target.\n\n\n
Example 2:
\n\n\nInput: target = 19, maxDoubles = 2\nOutput: 7\nExplanation: Initially, x = 1\nIncrement 3 times so x = 4\nDouble once so x = 8\nIncrement once so x = 9\nDouble again so x = 18\nIncrement once so x = 19\n\n\n
Example 3:
\n\n\nInput: target = 10, maxDoubles = 4\nOutput: 4\nExplanation: Initially, x = 1\nIncrement once so x = 2\nDouble once so x = 4\nIncrement once so x = 5\nDouble again so x = 10\n\n\n
\n
Constraints:
\n\n1 <= target <= 109
0 <= maxDoubles <= 100
你正在玩一个整数游戏。从整数 1
开始,期望得到整数 target
。
在一次行动中,你可以做下述两种操作之一:
\n\nx = x + 1
)。x = 2 * x
)。在整个游戏过程中,你可以使用 递增 操作 任意 次数。但是只能使用 加倍 操作 至多 maxDoubles
次。
给你两个整数 target
和 maxDoubles
,返回从 1 开始得到 target
需要的最少行动次数。
\n\n
示例 1:
\n\n输入:target = 5, maxDoubles = 0\n输出:4\n解释:一直递增 1 直到得到 target 。\n\n\n
示例 2:
\n\n输入:target = 19, maxDoubles = 2\n输出:7\n解释:最初,x = 1 。\n递增 3 次,x = 4 。\n加倍 1 次,x = 8 。\n递增 1 次,x = 9 。\n加倍 1 次,x = 18 。\n递增 1 次,x = 19 。\n\n\n
示例 3:
\n\n输入:target = 10, maxDoubles = 4\n输出:4\n解释:\n最初,x = 1 。 \n递增 1 次,x = 2 。 \n加倍 1 次,x = 4 。 \n递增 1 次,x = 5 。 \n加倍 1 次,x = 10 。 \n\n\n
\n\n
提示:
\n\n1 <= target <= 109
0 <= maxDoubles <= 100
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