leetcode-problemset/leetcode-cn/originData/5TxKeK.json

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            "questionId": "1000131",
            "questionFrontendId": "LCP 24",
            "categoryTitle": "Algorithms",
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            "title": "数字游戏",
            "titleSlug": "5TxKeK",
            "content": "English description is not available for the problem. Please switch to Chinese.",
            "translatedTitle": "数字游戏",
            "translatedContent": "小扣在秋日市集入口处发现了一个数字游戏。主办方共有 `N` 个计数器，计数器编号为 `0 ~ N-1`。每个计数器上分别显示了一个数字，小扣按计数器编号升序将所显示的数字记于数组 `nums`。每个计数器上有两个按钮，分别可以实现将显示数字加一或减一。小扣每一次操作可以选择一个计数器，按下加一或减一按钮。\n\n主办方请小扣回答出一个长度为 `N` 的数组，第 `i` 个元素(0 <= i < N)表示将 `0~i` 号计数器 **初始** 所示数字操作成满足所有条件 `nums[a]+1 == nums[a+1],(0 <= a < i)` 的最小操作数。回答正确方可进入秋日市集。\n\n由于答案可能很大，请将每个最小操作数对 `1,000,000,007` 取余。\n\n\n**示例 1：**\n>输入：`nums = [3,4,5,1,6,7]`\n>\n>输出：`[0,0,0,5,6,7]`\n>\n>解释：\n>i = 0，[3] 无需操作\n>i = 1，[3,4] 无需操作；\n>i = 2，[3,4,5] 无需操作；\n>i = 3，将 [3,4,5,1] 操作成 [3,4,5,6], 最少 5 次操作；\n>i = 4，将 [3,4,5,1,6] 操作成 [3,4,5,6,7], 最少 6 次操作；\n>i = 5，将 [3,4,5,1,6,7] 操作成 [3,4,5,6,7,8]，最少 7 次操作；\n>返回 [0,0,0,5,6,7]。\n\n\n**示例 2：**\n>输入：`nums = [1,2,3,4,5]`\n>\n>输出：`[0,0,0,0,0]`\n>\n>解释：对于任意计数器编号 i 都无需操作。\n\n**示例 3：**\n>输入：`nums = [1,1,1,2,3,4]`\n>\n>输出：`[0,1,2,3,3,3]`\n>\n>解释：\n>i = 0，无需操作；\n>i = 1，将 [1,1] 操作成 [1,2] 或 [0,1] 最少 1 次操作；\n>i = 2，将 [1,1,1] 操作成 [1,2,3] 或 [0,1,2]，最少 2 次操作；\n>i = 3，将 [1,1,1,2] 操作成 [1,2,3,4] 或 [0,1,2,3]，最少 3 次操作；\n>i = 4，将 [1,1,1,2,3] 操作成 [-1,0,1,2,3]，最少 3 次操作；\n>i = 5，将 [1,1,1,2,3,4] 操作成 [-1,0,1,2,3,4]，最少 3 次操作；\n>返回 [0,1,2,3,3,3]。\n\n\n**提示：**\n- `1 <= nums.length <= 10^5`\n- `1 <= nums[i] <= 10^3`\n\n",
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