mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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177 lines
30 KiB
JSON
177 lines
30 KiB
JSON
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"question": {
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"questionId": "1728",
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"questionFrontendId": "1622",
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"categoryTitle": "Algorithms",
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"boundTopicId": 448364,
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"title": "Fancy Sequence",
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"titleSlug": "fancy-sequence",
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"content": "<p>Write an API that generates fancy sequences using the <code>append</code>, <code>addAll</code>, and <code>multAll</code> operations.</p>\n\n<p>Implement the <code>Fancy</code> class:</p>\n\n<ul>\n\t<li><code>Fancy()</code> Initializes the object with an empty sequence.</li>\n\t<li><code>void append(val)</code> Appends an integer <code>val</code> to the end of the sequence.</li>\n\t<li><code>void addAll(inc)</code> Increments all existing values in the sequence by an integer <code>inc</code>.</li>\n\t<li><code>void multAll(m)</code> Multiplies all existing values in the sequence by an integer <code>m</code>.</li>\n\t<li><code>int getIndex(idx)</code> Gets the current value at index <code>idx</code> (0-indexed) of the sequence <strong>modulo</strong> <code>10<sup>9</sup> + 7</code>. If the index is greater or equal than the length of the sequence, return <code>-1</code>.</li>\n</ul>\n\n<p> </p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<strong>Input</strong>\n["Fancy", "append", "addAll", "append", "multAll", "getIndex", "addAll", "append", "multAll", "getIndex", "getIndex", "getIndex"]\n[[], [2], [3], [7], [2], [0], [3], [10], [2], [0], [1], [2]]\n<strong>Output</strong>\n[null, null, null, null, null, 10, null, null, null, 26, 34, 20]\n\n<strong>Explanation</strong>\nFancy fancy = new Fancy();\nfancy.append(2); // fancy sequence: [2]\nfancy.addAll(3); // fancy sequence: [2+3] -> [5]\nfancy.append(7); // fancy sequence: [5, 7]\nfancy.multAll(2); // fancy sequence: [5*2, 7*2] -> [10, 14]\nfancy.getIndex(0); // return 10\nfancy.addAll(3); // fancy sequence: [10+3, 14+3] -> [13, 17]\nfancy.append(10); // fancy sequence: [13, 17, 10]\nfancy.multAll(2); // fancy sequence: [13*2, 17*2, 10*2] -> [26, 34, 20]\nfancy.getIndex(0); // return 26\nfancy.getIndex(1); // return 34\nfancy.getIndex(2); // return 20\n</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 <= val, inc, m <= 100</code></li>\n\t<li><code>0 <= idx <= 10<sup>5</sup></code></li>\n\t<li>At most <code>10<sup>5</sup></code> calls total will be made to <code>append</code>, <code>addAll</code>, <code>multAll</code>, and <code>getIndex</code>.</li>\n</ul>\n",
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"translatedTitle": "奇妙序列",
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"translatedContent": "<p>请你实现三个 API <code>append</code>，<code>addAll</code> 和 <code>multAll</code> 来实现奇妙序列。</p>\n\n<p>请实现 <code>Fancy</code> 类 ：</p>\n\n<ul>\n\t<li><code>Fancy()</code> 初始化一个空序列对象。</li>\n\t<li><code>void append(val)</code> 将整数 <code>val</code> 添加在序列末尾。</li>\n\t<li><code>void addAll(inc)</code> 将所有序列中的现有数值都增加 <code>inc</code> 。</li>\n\t<li><code>void multAll(m)</code> 将序列中的所有现有数值都乘以整数 <code>m</code> 。</li>\n\t<li><code>int getIndex(idx)</code> 得到下标为 <code>idx</code> 处的数值（下标从 0 开始），并将结果对 <code>10<sup>9</sup> + 7</code> 取余。如果下标大于等于序列的长度，请返回 <code>-1</code> 。</li>\n</ul>\n\n<p> </p>\n\n<p><strong>示例：</strong></p>\n\n<pre>\n<strong>输入：</strong>\n[\"Fancy\", \"append\", \"addAll\", \"append\", \"multAll\", \"getIndex\", \"addAll\", \"append\", \"multAll\", \"getIndex\", \"getIndex\", \"getIndex\"]\n[[], [2], [3], [7], [2], [0], [3], [10], [2], [0], [1], [2]]\n<strong>输出：</strong>\n[null, null, null, null, null, 10, null, null, null, 26, 34, 20]\n\n<strong>解释：</strong>\nFancy fancy = new Fancy();\nfancy.append(2); // 奇妙序列：[2]\nfancy.addAll(3); // 奇妙序列：[2+3] -> [5]\nfancy.append(7); // 奇妙序列：[5, 7]\nfancy.multAll(2); // 奇妙序列：[5*2, 7*2] -> [10, 14]\nfancy.getIndex(0); // 返回 10\nfancy.addAll(3); // 奇妙序列：[10+3, 14+3] -> [13, 17]\nfancy.append(10); // 奇妙序列：[13, 17, 10]\nfancy.multAll(2); // 奇妙序列：[13*2, 17*2, 10*2] -> [26, 34, 20]\nfancy.getIndex(0); // 返回 26\nfancy.getIndex(1); // 返回 34\nfancy.getIndex(2); // 返回 20\n</pre>\n\n<p> </p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 <= val, inc, m <= 100</code></li>\n\t<li><code>0 <= idx <= 10<sup>5</sup></code></li>\n\t<li>总共最多会有 <code>10<sup>5</sup></code> 次对 <code>append</code>，<code>addAll</code>，<code>multAll</code> 和 <code>getIndex</code> 的调用。</li>\n</ul>\n",
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"code": "class Fancy {\npublic:\n Fancy() {\n\n }\n \n void append(int val) {\n\n }\n \n void addAll(int inc) {\n\n }\n \n void multAll(int m) {\n\n }\n \n int getIndex(int idx) {\n\n }\n};\n\n/**\n * Your Fancy object will be instantiated and called as such:\n * Fancy* obj = new Fancy();\n * obj->append(val);\n * obj->addAll(inc);\n * obj->multAll(m);\n * int param_4 = obj->getIndex(idx);\n */",
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"code": "class Fancy {\n\n public Fancy() {\n\n }\n \n public void append(int val) {\n\n }\n \n public void addAll(int inc) {\n\n }\n \n public void multAll(int m) {\n\n }\n \n public int getIndex(int idx) {\n\n }\n}\n\n/**\n * Your Fancy object will be instantiated and called as such:\n * Fancy obj = new Fancy();\n * obj.append(val);\n * obj.addAll(inc);\n * obj.multAll(m);\n * int param_4 = obj.getIndex(idx);\n */",
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"code": "class Fancy(object):\n\n def __init__(self):\n\n\n def append(self, val):\n \"\"\"\n :type val: int\n :rtype: None\n \"\"\"\n\n\n def addAll(self, inc):\n \"\"\"\n :type inc: int\n :rtype: None\n \"\"\"\n\n\n def multAll(self, m):\n \"\"\"\n :type m: int\n :rtype: None\n \"\"\"\n\n\n def getIndex(self, idx):\n \"\"\"\n :type idx: int\n :rtype: int\n \"\"\"\n\n\n\n# Your Fancy object will be instantiated and called as such:\n# obj = Fancy()\n# obj.append(val)\n# obj.addAll(inc)\n# obj.multAll(m)\n# param_4 = obj.getIndex(idx)",
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"code": "class Fancy:\n\n def __init__(self):\n\n\n def append(self, val: int) -> None:\n\n\n def addAll(self, inc: int) -> None:\n\n\n def multAll(self, m: int) -> None:\n\n\n def getIndex(self, idx: int) -> int:\n\n\n\n# Your Fancy object will be instantiated and called as such:\n# obj = Fancy()\n# obj.append(val)\n# obj.addAll(inc)\n# obj.multAll(m)\n# param_4 = obj.getIndex(idx)",
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"code": "\n\n\ntypedef struct {\n\n} Fancy;\n\n\nFancy* fancyCreate() {\n\n}\n\nvoid fancyAppend(Fancy* obj, int val) {\n\n}\n\nvoid fancyAddAll(Fancy* obj, int inc) {\n\n}\n\nvoid fancyMultAll(Fancy* obj, int m) {\n\n}\n\nint fancyGetIndex(Fancy* obj, int idx) {\n\n}\n\nvoid fancyFree(Fancy* obj) {\n\n}\n\n/**\n * Your Fancy struct will be instantiated and called as such:\n * Fancy* obj = fancyCreate();\n * fancyAppend(obj, val);\n \n * fancyAddAll(obj, inc);\n \n * fancyMultAll(obj, m);\n \n * int param_4 = fancyGetIndex(obj, idx);\n \n * fancyFree(obj);\n*/",
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"code": "public class Fancy {\n\n public Fancy() {\n\n }\n \n public void Append(int val) {\n\n }\n \n public void AddAll(int inc) {\n\n }\n \n public void MultAll(int m) {\n\n }\n \n public int GetIndex(int idx) {\n\n }\n}\n\n/**\n * Your Fancy object will be instantiated and called as such:\n * Fancy obj = new Fancy();\n * obj.Append(val);\n * obj.AddAll(inc);\n * obj.MultAll(m);\n * int param_4 = obj.GetIndex(idx);\n */",
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"code": "\nvar Fancy = function() {\n\n};\n\n/** \n * @param {number} val\n * @return {void}\n */\nFancy.prototype.append = function(val) {\n\n};\n\n/** \n * @param {number} inc\n * @return {void}\n */\nFancy.prototype.addAll = function(inc) {\n\n};\n\n/** \n * @param {number} m\n * @return {void}\n */\nFancy.prototype.multAll = function(m) {\n\n};\n\n/** \n * @param {number} idx\n * @return {number}\n */\nFancy.prototype.getIndex = function(idx) {\n\n};\n\n/**\n * Your Fancy object will be instantiated and called as such:\n * var obj = new Fancy()\n * obj.append(val)\n * obj.addAll(inc)\n * obj.multAll(m)\n * var param_4 = obj.getIndex(idx)\n */",
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"code": "class Fancy\n def initialize()\n\n end\n\n\n=begin\n :type val: Integer\n :rtype: Void\n=end\n def append(val)\n\n end\n\n\n=begin\n :type inc: Integer\n :rtype: Void\n=end\n def add_all(inc)\n\n end\n\n\n=begin\n :type m: Integer\n :rtype: Void\n=end\n def mult_all(m)\n\n end\n\n\n=begin\n :type idx: Integer\n :rtype: Integer\n=end\n def get_index(idx)\n\n end\n\n\nend\n\n# Your Fancy object will be instantiated and called as such:\n# obj = Fancy.new()\n# obj.append(val)\n# obj.add_all(inc)\n# obj.mult_all(m)\n# param_4 = obj.get_index(idx)",
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"code": "\nclass Fancy {\n\n init() {\n\n }\n \n func append(_ val: Int) {\n\n }\n \n func addAll(_ inc: Int) {\n\n }\n \n func multAll(_ m: Int) {\n\n }\n \n func getIndex(_ idx: Int) -> Int {\n\n }\n}\n\n/**\n * Your Fancy object will be instantiated and called as such:\n * let obj = Fancy()\n * obj.append(val)\n * obj.addAll(inc)\n * obj.multAll(m)\n * let ret_4: Int = obj.getIndex(idx)\n */",
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"code": "type Fancy struct {\n\n}\n\n\nfunc Constructor() Fancy {\n\n}\n\n\nfunc (this *Fancy) Append(val int) {\n\n}\n\n\nfunc (this *Fancy) AddAll(inc int) {\n\n}\n\n\nfunc (this *Fancy) MultAll(m int) {\n\n}\n\n\nfunc (this *Fancy) GetIndex(idx int) int {\n\n}\n\n\n/**\n * Your Fancy object will be instantiated and called as such:\n * obj := Constructor();\n * obj.Append(val);\n * obj.AddAll(inc);\n * obj.MultAll(m);\n * param_4 := obj.GetIndex(idx);\n */",
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"code": "class Fancy() {\n\n def append(`val`: Int) {\n\n }\n\n def addAll(inc: Int) {\n\n }\n\n def multAll(m: Int) {\n\n }\n\n def getIndex(idx: Int): Int = {\n\n }\n\n}\n\n/**\n * Your Fancy object will be instantiated and called as such:\n * var obj = new Fancy()\n * obj.append(`val`)\n * obj.addAll(inc)\n * obj.multAll(m)\n * var param_4 = obj.getIndex(idx)\n */",
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"code": "class Fancy() {\n\n fun append(`val`: Int) {\n\n }\n\n fun addAll(inc: Int) {\n\n }\n\n fun multAll(m: Int) {\n\n }\n\n fun getIndex(idx: Int): Int {\n\n }\n\n}\n\n/**\n * Your Fancy object will be instantiated and called as such:\n * var obj = Fancy()\n * obj.append(`val`)\n * obj.addAll(inc)\n * obj.multAll(m)\n * var param_4 = obj.getIndex(idx)\n */",
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"code": "struct Fancy {\n\n}\n\n\n/**\n * `&self` means the method takes an immutable reference.\n * If you need a mutable reference, change it to `&mut self` instead.\n */\nimpl Fancy {\n\n fn new() -> Self {\n\n }\n \n fn append(&self, val: i32) {\n\n }\n \n fn add_all(&self, inc: i32) {\n\n }\n \n fn mult_all(&self, m: i32) {\n\n }\n \n fn get_index(&self, idx: i32) -> i32 {\n\n }\n}\n\n/**\n * Your Fancy object will be instantiated and called as such:\n * let obj = Fancy::new();\n * obj.append(val);\n * obj.add_all(inc);\n * obj.mult_all(m);\n * let ret_4: i32 = obj.get_index(idx);\n */",
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"code": "class Fancy {\n /**\n */\n function __construct() {\n\n }\n\n /**\n * @param Integer $val\n * @return NULL\n */\n function append($val) {\n\n }\n\n /**\n * @param Integer $inc\n * @return NULL\n */\n function addAll($inc) {\n\n }\n\n /**\n * @param Integer $m\n * @return NULL\n */\n function multAll($m) {\n\n }\n\n /**\n * @param Integer $idx\n * @return Integer\n */\n function getIndex($idx) {\n\n }\n}\n\n/**\n * Your Fancy object will be instantiated and called as such:\n * $obj = Fancy();\n * $obj->append($val);\n * $obj->addAll($inc);\n * $obj->multAll($m);\n * $ret_4 = $obj->getIndex($idx);\n */",
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"code": "class Fancy {\n constructor() {\n\n }\n\n append(val: number): void {\n\n }\n\n addAll(inc: number): void {\n\n }\n\n multAll(m: number): void {\n\n }\n\n getIndex(idx: number): number {\n\n }\n}\n\n/**\n * Your Fancy object will be instantiated and called as such:\n * var obj = new Fancy()\n * obj.append(val)\n * obj.addAll(inc)\n * obj.multAll(m)\n * var param_4 = obj.getIndex(idx)\n */",
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"code": "(define fancy%\n (class object%\n (super-new)\n (init-field)\n \n ; append : exact-integer? -> void?\n (define/public (append val)\n\n )\n ; add-all : exact-integer? -> void?\n (define/public (add-all inc)\n\n )\n ; mult-all : exact-integer? -> void?\n (define/public (mult-all m)\n\n )\n ; get-index : exact-integer? -> exact-integer?\n (define/public (get-index idx)\n\n )))\n\n;; Your fancy% object will be instantiated and called as such:\n;; (define obj (new fancy%))\n;; (send obj append val)\n;; (send obj add-all inc)\n;; (send obj mult-all m)\n;; (define param_4 (send obj get-index idx))",
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"code": "-spec fancy_init_() -> any().\nfancy_init_() ->\n .\n\n-spec fancy_append(Val :: integer()) -> any().\nfancy_append(Val) ->\n .\n\n-spec fancy_add_all(Inc :: integer()) -> any().\nfancy_add_all(Inc) ->\n .\n\n-spec fancy_mult_all(M :: integer()) -> any().\nfancy_mult_all(M) ->\n .\n\n-spec fancy_get_index(Idx :: integer()) -> integer().\nfancy_get_index(Idx) ->\n .\n\n\n%% Your functions will be called as such:\n%% fancy_init_(),\n%% fancy_append(Val),\n%% fancy_add_all(Inc),\n%% fancy_mult_all(M),\n%% Param_4 = fancy_get_index(Idx),\n\n%% fancy_init_ will be called before every test case, in which you can do some necessary initializations.",
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"code": "defmodule Fancy do\n @spec init_() :: any\n def init_() do\n\n end\n\n @spec append(val :: integer) :: any\n def append(val) do\n\n end\n\n @spec add_all(inc :: integer) :: any\n def add_all(inc) do\n\n end\n\n @spec mult_all(m :: integer) :: any\n def mult_all(m) do\n\n end\n\n @spec get_index(idx :: integer) :: integer\n def get_index(idx) do\n\n end\nend\n\n# Your functions will be called as such:\n# Fancy.init_()\n# Fancy.append(val)\n# Fancy.add_all(inc)\n# Fancy.mult_all(m)\n# param_4 = Fancy.get_index(idx)\n\n# Fancy.init_ will be called before every test case, in which you can do some necessary initializations.",
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"Use two arrays to save the cumulative multipliers at each time point and cumulative sums adjusted by the current multiplier.",
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"The function getIndex(idx) ask to the current value modulo 10^9+7. Use modular inverse and both arrays to calculate this value."
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