leetcode-problemset/leetcode/originData/minimum-cost-to-set-cooking-time.json

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            "title": "Minimum Cost to Set Cooking Time",
            "titleSlug": "minimum-cost-to-set-cooking-time",
            "content": "<p>A generic microwave supports cooking times for:</p>\n\n<ul>\n\t<li>at least <code>1</code> second.</li>\n\t<li>at most <code>99</code> minutes and <code>99</code> seconds.</li>\n</ul>\n\n<p>To set the cooking time, you push <strong>at most four digits</strong>. The microwave normalizes what you push as four digits by <strong>prepending zeroes</strong>. It interprets the <strong>first</strong> two digits as the minutes and the <strong>last</strong> two digits as the seconds. It then <strong>adds</strong> them up as the cooking time. For example,</p>\n\n<ul>\n\t<li>You push <code>9</code> <code>5</code> <code>4</code> (three digits). It is normalized as <code>0954</code> and interpreted as <code>9</code> minutes and <code>54</code> seconds.</li>\n\t<li>You push <code>0</code> <code>0</code> <code>0</code> <code>8</code> (four digits). It is interpreted as <code>0</code> minutes and <code>8</code> seconds.</li>\n\t<li>You push <code>8</code> <code>0</code> <code>9</code> <code>0</code>. It is interpreted as <code>80</code> minutes and <code>90</code> seconds.</li>\n\t<li>You push <code>8</code> <code>1</code> <code>3</code> <code>0</code>. It is interpreted as <code>81</code> minutes and <code>30</code> seconds.</li>\n</ul>\n\n<p>You are given integers <code>startAt</code>, <code>moveCost</code>, <code>pushCost</code>, and <code>targetSeconds</code>. <strong>Initially</strong>, your finger is on the digit <code>startAt</code>. Moving the finger above <strong>any specific digit</strong> costs <code>moveCost</code> units of fatigue. Pushing the digit below the finger <strong>once</strong> costs <code>pushCost</code> units of fatigue.</p>\n\n<p>There can be multiple ways to set the microwave to cook for <code>targetSeconds</code> seconds but you are interested in the way with the minimum cost.</p>\n\n<p>Return <em>the <strong>minimum cost</strong> to set</em> <code>targetSeconds</code> <em>seconds of cooking time</em>.</p>\n\n<p>Remember that one minute consists of <code>60</code> seconds.</p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/12/30/1.png\" style=\"width: 506px; height: 210px;\" />\n<pre>\n<strong>Input:</strong> startAt = 1, moveCost = 2, pushCost = 1, targetSeconds = 600\n<strong>Output:</strong> 6\n<strong>Explanation:</strong> The following are the possible ways to set the cooking time.\n- 1 0 0 0, interpreted as 10 minutes and 0 seconds.\n&nbsp; The finger is already on digit 1, pushes 1 (with cost 1), moves to 0 (with cost 2), pushes 0 (with cost 1), pushes 0 (with cost 1), and pushes 0 (with cost 1).\n&nbsp; The cost is: 1 + 2 + 1 + 1 + 1 = 6. This is the minimum cost.\n- 0 9 6 0, interpreted as 9 minutes and 60 seconds. That is also 600 seconds.\n&nbsp; The finger moves to 0 (with cost 2), pushes 0 (with cost 1), moves to 9 (with cost 2), pushes 9 (with cost 1), moves to 6 (with cost 2), pushes 6 (with cost 1), moves to 0 (with cost 2), and pushes 0 (with cost 1).\n&nbsp; The cost is: 2 + 1 + 2 + 1 + 2 + 1 + 2 + 1 = 12.\n- 9 6 0, normalized as 0960 and interpreted as 9 minutes and 60 seconds.\n&nbsp; The finger moves to 9 (with cost 2), pushes 9 (with cost 1), moves to 6 (with cost 2), pushes 6 (with cost 1), moves to 0 (with cost 2), and pushes 0 (with cost 1).\n&nbsp; The cost is: 2 + 1 + 2 + 1 + 2 + 1 = 9.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/12/30/2.png\" style=\"width: 505px; height: 73px;\" />\n<pre>\n<strong>Input:</strong> startAt = 0, moveCost = 1, pushCost = 2, targetSeconds = 76\n<strong>Output:</strong> 6\n<strong>Explanation:</strong> The optimal way is to push two digits: 7 6, interpreted as 76 seconds.\nThe finger moves to 7 (with cost 1), pushes 7 (with cost 2), moves to 6 (with cost 1), and pushes 6 (with cost 2). The total cost is: 1 + 2 + 1 + 2 = 6\nNote other possible ways are 0076, 076, 0116, and 116, but none of them produces the minimum cost.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>0 &lt;= startAt &lt;= 9</code></li>\n\t<li><code>1 &lt;= moveCost, pushCost &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= targetSeconds &lt;= 6039</code></li>\n</ul>\n",
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                    "code": "class Solution {\npublic:\n    int minCostSetTime(int startAt, int moveCost, int pushCost, int targetSeconds) {\n        \n    }\n};",
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                    "code": "class Solution(object):\n    def minCostSetTime(self, startAt, moveCost, pushCost, targetSeconds):\n        \"\"\"\n        :type startAt: int\n        :type moveCost: int\n        :type pushCost: int\n        :type targetSeconds: int\n        :rtype: int\n        \"\"\"\n        ",
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                    "code": "/**\n * @param {number} startAt\n * @param {number} moveCost\n * @param {number} pushCost\n * @param {number} targetSeconds\n * @return {number}\n */\nvar minCostSetTime = function(startAt, moveCost, pushCost, targetSeconds) {\n    \n};",
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                    "code": "# @param {Integer} start_at\n# @param {Integer} move_cost\n# @param {Integer} push_cost\n# @param {Integer} target_seconds\n# @return {Integer}\ndef min_cost_set_time(start_at, move_cost, push_cost, target_seconds)\n    \nend",
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                    "code": "impl Solution {\n    pub fn min_cost_set_time(start_at: i32, move_cost: i32, push_cost: i32, target_seconds: i32) -> i32 {\n        \n    }\n}",
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                    "code": "function minCostSetTime(startAt: number, moveCost: number, pushCost: number, targetSeconds: number): number {\n\n};",
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                    "code": "(define/contract (min-cost-set-time startAt moveCost pushCost targetSeconds)\n  (-> exact-integer? exact-integer? exact-integer? exact-integer? exact-integer?)\n\n  )",
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            "hints": [
                "Define a separate function Cost(mm, ss) where 0 <= mm <= 99 and 0 <= ss <= 99. This function should calculate the cost of setting the cocking time to mm minutes and ss seconds",
                "The range of the minutes is small (i.e., [0, 99]), how can you use that?",
                "For every mm in [0, 99], calculate the needed ss to make mm:ss equal to targetSeconds and minimize the cost of setting the cocking time to mm:ss",
                "Be careful in some cases when ss is not in the valid range [0, 99]."
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