{
    "data": {
        "question": {
            "questionId": "2285",
            "questionFrontendId": "2166",
            "boundTopicId": null,
            "title": "Design Bitset",
            "titleSlug": "design-bitset",
            "content": "<p>A <strong>Bitset</strong> is a data structure that compactly stores bits.</p>\n\n<p>Implement the <code>Bitset</code> class:</p>\n\n<ul>\n\t<li><code>Bitset(int size)</code> Initializes the Bitset with <code>size</code> bits, all of which are <code>0</code>.</li>\n\t<li><code>void fix(int idx)</code> Updates the value of the bit at the index <code>idx</code> to <code>1</code>. If the value was already <code>1</code>, no change occurs.</li>\n\t<li><code>void unfix(int idx)</code> Updates the value of the bit at the index <code>idx</code> to <code>0</code>. If the value was already <code>0</code>, no change occurs.</li>\n\t<li><code>void flip()</code> Flips the values of each bit in the Bitset. In other words, all bits with value <code>0</code> will now have value <code>1</code> and vice versa.</li>\n\t<li><code>boolean all()</code> Checks if the value of <strong>each</strong> bit in the Bitset is <code>1</code>. Returns <code>true</code> if it satisfies the condition, <code>false</code> otherwise.</li>\n\t<li><code>boolean one()</code> Checks if there is <strong>at least one</strong> bit in the Bitset with value <code>1</code>. Returns <code>true</code> if it satisfies the condition, <code>false</code> otherwise.</li>\n\t<li><code>int count()</code> Returns the <strong>total number</strong> of bits in the Bitset which have value <code>1</code>.</li>\n\t<li><code>String toString()</code> Returns the current composition of the Bitset. Note that in the resultant string, the character at the <code>i<sup>th</sup></code> index should coincide with the value at the <code>i<sup>th</sup></code> bit of the Bitset.</li>\n</ul>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<strong>Input</strong>\n[&quot;Bitset&quot;, &quot;fix&quot;, &quot;fix&quot;, &quot;flip&quot;, &quot;all&quot;, &quot;unfix&quot;, &quot;flip&quot;, &quot;one&quot;, &quot;unfix&quot;, &quot;count&quot;, &quot;toString&quot;]\n[[5], [3], [1], [], [], [0], [], [], [0], [], []]\n<strong>Output</strong>\n[null, null, null, null, false, null, null, true, null, 2, &quot;01010&quot;]\n\n<strong>Explanation</strong>\nBitset bs = new Bitset(5); // bitset = &quot;00000&quot;.\nbs.fix(3);     // the value at idx = 3 is updated to 1, so bitset = &quot;00010&quot;.\nbs.fix(1);     // the value at idx = 1 is updated to 1, so bitset = &quot;01010&quot;. \nbs.flip();     // the value of each bit is flipped, so bitset = &quot;10101&quot;. \nbs.all();      // return False, as not all values of the bitset are 1.\nbs.unfix(0);   // the value at idx = 0 is updated to 0, so bitset = &quot;00101&quot;.\nbs.flip();     // the value of each bit is flipped, so bitset = &quot;11010&quot;. \nbs.one();      // return True, as there is at least 1 index with value 1.\nbs.unfix(0);   // the value at idx = 0 is updated to 0, so bitset = &quot;01010&quot;.\nbs.count();    // return 2, as there are 2 bits with value 1.\nbs.toString(); // return &quot;01010&quot;, which is the composition of bitset.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= size &lt;= 10<sup>5</sup></code></li>\n\t<li><code>0 &lt;= idx &lt;= size - 1</code></li>\n\t<li>At most <code>10<sup>5</sup></code> calls will be made <strong>in total</strong> to <code>fix</code>, <code>unfix</code>, <code>flip</code>, <code>all</code>, <code>one</code>, <code>count</code>, and <code>toString</code>.</li>\n\t<li>At least one call will be made to <code>all</code>, <code>one</code>, <code>count</code>, or <code>toString</code>.</li>\n\t<li>At most <code>5</code> calls will be made to <code>toString</code>.</li>\n</ul>\n",
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            "isPaidOnly": false,
            "difficulty": "Medium",
            "likes": 347,
            "dislikes": 33,
            "isLiked": null,
            "similarQuestions": "[{\"title\": \"Design Underground System\", \"titleSlug\": \"design-underground-system\", \"difficulty\": \"Medium\", \"translatedTitle\": null}]",
            "exampleTestcases": "[\"Bitset\",\"fix\",\"fix\",\"flip\",\"all\",\"unfix\",\"flip\",\"one\",\"unfix\",\"count\",\"toString\"]\n[[5],[3],[1],[],[],[0],[],[],[0],[],[]]",
            "categoryTitle": "Algorithms",
            "contributors": [],
            "topicTags": [
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                    "name": "Array",
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                    "name": "Hash Table",
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            "codeSnippets": [
                {
                    "lang": "C++",
                    "langSlug": "cpp",
                    "code": "class Bitset {\npublic:\n    Bitset(int size) {\n        \n    }\n    \n    void fix(int idx) {\n        \n    }\n    \n    void unfix(int idx) {\n        \n    }\n    \n    void flip() {\n        \n    }\n    \n    bool all() {\n        \n    }\n    \n    bool one() {\n        \n    }\n    \n    int count() {\n        \n    }\n    \n    string toString() {\n        \n    }\n};\n\n/**\n * Your Bitset object will be instantiated and called as such:\n * Bitset* obj = new Bitset(size);\n * obj->fix(idx);\n * obj->unfix(idx);\n * obj->flip();\n * bool param_4 = obj->all();\n * bool param_5 = obj->one();\n * int param_6 = obj->count();\n * string param_7 = obj->toString();\n */",
                    "__typename": "CodeSnippetNode"
                },
                {
                    "lang": "Java",
                    "langSlug": "java",
                    "code": "class Bitset {\n\n    public Bitset(int size) {\n        \n    }\n    \n    public void fix(int idx) {\n        \n    }\n    \n    public void unfix(int idx) {\n        \n    }\n    \n    public void flip() {\n        \n    }\n    \n    public boolean all() {\n        \n    }\n    \n    public boolean one() {\n        \n    }\n    \n    public int count() {\n        \n    }\n    \n    public String toString() {\n        \n    }\n}\n\n/**\n * Your Bitset object will be instantiated and called as such:\n * Bitset obj = new Bitset(size);\n * obj.fix(idx);\n * obj.unfix(idx);\n * obj.flip();\n * boolean param_4 = obj.all();\n * boolean param_5 = obj.one();\n * int param_6 = obj.count();\n * String param_7 = obj.toString();\n */",
                    "__typename": "CodeSnippetNode"
                },
                {
                    "lang": "Python",
                    "langSlug": "python",
                    "code": "class Bitset(object):\n\n    def __init__(self, size):\n        \"\"\"\n        :type size: int\n        \"\"\"\n        \n\n    def fix(self, idx):\n        \"\"\"\n        :type idx: int\n        :rtype: None\n        \"\"\"\n        \n\n    def unfix(self, idx):\n        \"\"\"\n        :type idx: int\n        :rtype: None\n        \"\"\"\n        \n\n    def flip(self):\n        \"\"\"\n        :rtype: None\n        \"\"\"\n        \n\n    def all(self):\n        \"\"\"\n        :rtype: bool\n        \"\"\"\n        \n\n    def one(self):\n        \"\"\"\n        :rtype: bool\n        \"\"\"\n        \n\n    def count(self):\n        \"\"\"\n        :rtype: int\n        \"\"\"\n        \n\n    def toString(self):\n        \"\"\"\n        :rtype: str\n        \"\"\"\n        \n\n\n# Your Bitset object will be instantiated and called as such:\n# obj = Bitset(size)\n# obj.fix(idx)\n# obj.unfix(idx)\n# obj.flip()\n# param_4 = obj.all()\n# param_5 = obj.one()\n# param_6 = obj.count()\n# param_7 = obj.toString()",
                    "__typename": "CodeSnippetNode"
                },
                {
                    "lang": "Python3",
                    "langSlug": "python3",
                    "code": "class Bitset:\n\n    def __init__(self, size: int):\n        \n\n    def fix(self, idx: int) -> None:\n        \n\n    def unfix(self, idx: int) -> None:\n        \n\n    def flip(self) -> None:\n        \n\n    def all(self) -> bool:\n        \n\n    def one(self) -> bool:\n        \n\n    def count(self) -> int:\n        \n\n    def toString(self) -> str:\n        \n\n\n# Your Bitset object will be instantiated and called as such:\n# obj = Bitset(size)\n# obj.fix(idx)\n# obj.unfix(idx)\n# obj.flip()\n# param_4 = obj.all()\n# param_5 = obj.one()\n# param_6 = obj.count()\n# param_7 = obj.toString()",
                    "__typename": "CodeSnippetNode"
                },
                {
                    "lang": "C",
                    "langSlug": "c",
                    "code": "\n\n\ntypedef struct {\n    \n} Bitset;\n\n\nBitset* bitsetCreate(int size) {\n    \n}\n\nvoid bitsetFix(Bitset* obj, int idx) {\n  \n}\n\nvoid bitsetUnfix(Bitset* obj, int idx) {\n  \n}\n\nvoid bitsetFlip(Bitset* obj) {\n  \n}\n\nbool bitsetAll(Bitset* obj) {\n  \n}\n\nbool bitsetOne(Bitset* obj) {\n  \n}\n\nint bitsetCount(Bitset* obj) {\n  \n}\n\nchar * bitsetToString(Bitset* obj) {\n  \n}\n\nvoid bitsetFree(Bitset* obj) {\n    \n}\n\n/**\n * Your Bitset struct will be instantiated and called as such:\n * Bitset* obj = bitsetCreate(size);\n * bitsetFix(obj, idx);\n \n * bitsetUnfix(obj, idx);\n \n * bitsetFlip(obj);\n \n * bool param_4 = bitsetAll(obj);\n \n * bool param_5 = bitsetOne(obj);\n \n * int param_6 = bitsetCount(obj);\n \n * char * param_7 = bitsetToString(obj);\n \n * bitsetFree(obj);\n*/",
                    "__typename": "CodeSnippetNode"
                },
                {
                    "lang": "C#",
                    "langSlug": "csharp",
                    "code": "public class Bitset {\n\n    public Bitset(int size) {\n        \n    }\n    \n    public void Fix(int idx) {\n        \n    }\n    \n    public void Unfix(int idx) {\n        \n    }\n    \n    public void Flip() {\n        \n    }\n    \n    public bool All() {\n        \n    }\n    \n    public bool One() {\n        \n    }\n    \n    public int Count() {\n        \n    }\n    \n    public string ToString() {\n        \n    }\n}\n\n/**\n * Your Bitset object will be instantiated and called as such:\n * Bitset obj = new Bitset(size);\n * obj.Fix(idx);\n * obj.Unfix(idx);\n * obj.Flip();\n * bool param_4 = obj.All();\n * bool param_5 = obj.One();\n * int param_6 = obj.Count();\n * string param_7 = obj.ToString();\n */",
                    "__typename": "CodeSnippetNode"
                },
                {
                    "lang": "JavaScript",
                    "langSlug": "javascript",
                    "code": "/**\n * @param {number} size\n */\nvar Bitset = function(size) {\n    \n};\n\n/** \n * @param {number} idx\n * @return {void}\n */\nBitset.prototype.fix = function(idx) {\n    \n};\n\n/** \n * @param {number} idx\n * @return {void}\n */\nBitset.prototype.unfix = function(idx) {\n    \n};\n\n/**\n * @return {void}\n */\nBitset.prototype.flip = function() {\n    \n};\n\n/**\n * @return {boolean}\n */\nBitset.prototype.all = function() {\n    \n};\n\n/**\n * @return {boolean}\n */\nBitset.prototype.one = function() {\n    \n};\n\n/**\n * @return {number}\n */\nBitset.prototype.count = function() {\n    \n};\n\n/**\n * @return {string}\n */\nBitset.prototype.toString = function() {\n    \n};\n\n/** \n * Your Bitset object will be instantiated and called as such:\n * var obj = new Bitset(size)\n * obj.fix(idx)\n * obj.unfix(idx)\n * obj.flip()\n * var param_4 = obj.all()\n * var param_5 = obj.one()\n * var param_6 = obj.count()\n * var param_7 = obj.toString()\n */",
                    "__typename": "CodeSnippetNode"
                },
                {
                    "lang": "Ruby",
                    "langSlug": "ruby",
                    "code": "class Bitset\n\n=begin\n    :type size: Integer\n=end\n    def initialize(size)\n        \n    end\n\n\n=begin\n    :type idx: Integer\n    :rtype: Void\n=end\n    def fix(idx)\n        \n    end\n\n\n=begin\n    :type idx: Integer\n    :rtype: Void\n=end\n    def unfix(idx)\n        \n    end\n\n\n=begin\n    :rtype: Void\n=end\n    def flip()\n        \n    end\n\n\n=begin\n    :rtype: Boolean\n=end\n    def all()\n        \n    end\n\n\n=begin\n    :rtype: Boolean\n=end\n    def one()\n        \n    end\n\n\n=begin\n    :rtype: Integer\n=end\n    def count()\n        \n    end\n\n\n=begin\n    :rtype: String\n=end\n    def to_string()\n        \n    end\n\n\nend\n\n# Your Bitset object will be instantiated and called as such:\n# obj = Bitset.new(size)\n# obj.fix(idx)\n# obj.unfix(idx)\n# obj.flip()\n# param_4 = obj.all()\n# param_5 = obj.one()\n# param_6 = obj.count()\n# param_7 = obj.to_string()",
                    "__typename": "CodeSnippetNode"
                },
                {
                    "lang": "Swift",
                    "langSlug": "swift",
                    "code": "\nclass Bitset {\n\n    init(_ size: Int) {\n        \n    }\n    \n    func fix(_ idx: Int) {\n        \n    }\n    \n    func unfix(_ idx: Int) {\n        \n    }\n    \n    func flip() {\n        \n    }\n    \n    func all() -> Bool {\n        \n    }\n    \n    func one() -> Bool {\n        \n    }\n    \n    func count() -> Int {\n        \n    }\n    \n    func toString() -> String {\n        \n    }\n}\n\n/**\n * Your Bitset object will be instantiated and called as such:\n * let obj = Bitset(size)\n * obj.fix(idx)\n * obj.unfix(idx)\n * obj.flip()\n * let ret_4: Bool = obj.all()\n * let ret_5: Bool = obj.one()\n * let ret_6: Int = obj.count()\n * let ret_7: String = obj.toString()\n */",
                    "__typename": "CodeSnippetNode"
                },
                {
                    "lang": "Go",
                    "langSlug": "golang",
                    "code": "type Bitset struct {\n    \n}\n\n\nfunc Constructor(size int) Bitset {\n    \n}\n\n\nfunc (this *Bitset) Fix(idx int)  {\n    \n}\n\n\nfunc (this *Bitset) Unfix(idx int)  {\n    \n}\n\n\nfunc (this *Bitset) Flip()  {\n    \n}\n\n\nfunc (this *Bitset) All() bool {\n    \n}\n\n\nfunc (this *Bitset) One() bool {\n    \n}\n\n\nfunc (this *Bitset) Count() int {\n    \n}\n\n\nfunc (this *Bitset) ToString() string {\n    \n}\n\n\n/**\n * Your Bitset object will be instantiated and called as such:\n * obj := Constructor(size);\n * obj.Fix(idx);\n * obj.Unfix(idx);\n * obj.Flip();\n * param_4 := obj.All();\n * param_5 := obj.One();\n * param_6 := obj.Count();\n * param_7 := obj.ToString();\n */",
                    "__typename": "CodeSnippetNode"
                },
                {
                    "lang": "Scala",
                    "langSlug": "scala",
                    "code": "class Bitset(_size: Int) {\n\n    def fix(idx: Int) {\n        \n    }\n\n    def unfix(idx: Int) {\n        \n    }\n\n    def flip() {\n        \n    }\n\n    def all(): Boolean = {\n        \n    }\n\n    def one(): Boolean = {\n        \n    }\n\n    def count(): Int = {\n        \n    }\n\n    def toString(): String = {\n        \n    }\n\n}\n\n/**\n * Your Bitset object will be instantiated and called as such:\n * var obj = new Bitset(size)\n * obj.fix(idx)\n * obj.unfix(idx)\n * obj.flip()\n * var param_4 = obj.all()\n * var param_5 = obj.one()\n * var param_6 = obj.count()\n * var param_7 = obj.toString()\n */",
                    "__typename": "CodeSnippetNode"
                },
                {
                    "lang": "Kotlin",
                    "langSlug": "kotlin",
                    "code": "class Bitset(size: Int) {\n\n    fun fix(idx: Int) {\n        \n    }\n\n    fun unfix(idx: Int) {\n        \n    }\n\n    fun flip() {\n        \n    }\n\n    fun all(): Boolean {\n        \n    }\n\n    fun one(): Boolean {\n        \n    }\n\n    fun count(): Int {\n        \n    }\n\n    fun toString(): String {\n        \n    }\n\n}\n\n/**\n * Your Bitset object will be instantiated and called as such:\n * var obj = Bitset(size)\n * obj.fix(idx)\n * obj.unfix(idx)\n * obj.flip()\n * var param_4 = obj.all()\n * var param_5 = obj.one()\n * var param_6 = obj.count()\n * var param_7 = obj.toString()\n */",
                    "__typename": "CodeSnippetNode"
                },
                {
                    "lang": "Rust",
                    "langSlug": "rust",
                    "code": "struct Bitset {\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 Bitset {\n\n    fn new(size: i32) -> Self {\n        \n    }\n    \n    fn fix(&self, idx: i32) {\n        \n    }\n    \n    fn unfix(&self, idx: i32) {\n        \n    }\n    \n    fn flip(&self) {\n        \n    }\n    \n    fn all(&self) -> bool {\n        \n    }\n    \n    fn one(&self) -> bool {\n        \n    }\n    \n    fn count(&self) -> i32 {\n        \n    }\n    \n    fn to_string(&self) -> String {\n        \n    }\n}\n\n/**\n * Your Bitset object will be instantiated and called as such:\n * let obj = Bitset::new(size);\n * obj.fix(idx);\n * obj.unfix(idx);\n * obj.flip();\n * let ret_4: bool = obj.all();\n * let ret_5: bool = obj.one();\n * let ret_6: i32 = obj.count();\n * let ret_7: String = obj.to_string();\n */",
                    "__typename": "CodeSnippetNode"
                },
                {
                    "lang": "PHP",
                    "langSlug": "php",
                    "code": "class Bitset {\n    /**\n     * @param Integer $size\n     */\n    function __construct($size) {\n        \n    }\n  \n    /**\n     * @param Integer $idx\n     * @return NULL\n     */\n    function fix($idx) {\n        \n    }\n  \n    /**\n     * @param Integer $idx\n     * @return NULL\n     */\n    function unfix($idx) {\n        \n    }\n  \n    /**\n     * @return NULL\n     */\n    function flip() {\n        \n    }\n  \n    /**\n     * @return Boolean\n     */\n    function all() {\n        \n    }\n  \n    /**\n     * @return Boolean\n     */\n    function one() {\n        \n    }\n  \n    /**\n     * @return Integer\n     */\n    function count() {\n        \n    }\n  \n    /**\n     * @return String\n     */\n    function toString() {\n        \n    }\n}\n\n/**\n * Your Bitset object will be instantiated and called as such:\n * $obj = Bitset($size);\n * $obj->fix($idx);\n * $obj->unfix($idx);\n * $obj->flip();\n * $ret_4 = $obj->all();\n * $ret_5 = $obj->one();\n * $ret_6 = $obj->count();\n * $ret_7 = $obj->toString();\n */",
                    "__typename": "CodeSnippetNode"
                },
                {
                    "lang": "TypeScript",
                    "langSlug": "typescript",
                    "code": "class Bitset {\n    constructor(size: number) {\n\n    }\n\n    fix(idx: number): void {\n\n    }\n\n    unfix(idx: number): void {\n\n    }\n\n    flip(): void {\n\n    }\n\n    all(): boolean {\n\n    }\n\n    one(): boolean {\n\n    }\n\n    count(): number {\n\n    }\n\n    toString(): string {\n\n    }\n}\n\n/**\n * Your Bitset object will be instantiated and called as such:\n * var obj = new Bitset(size)\n * obj.fix(idx)\n * obj.unfix(idx)\n * obj.flip()\n * var param_4 = obj.all()\n * var param_5 = obj.one()\n * var param_6 = obj.count()\n * var param_7 = obj.toString()\n */",
                    "__typename": "CodeSnippetNode"
                },
                {
                    "lang": "Racket",
                    "langSlug": "racket",
                    "code": "(define bitset%\n  (class object%\n    (super-new)\n    \n    ; size : exact-integer?\n    (init-field\n      size)\n    \n    ; fix : exact-integer? -> void?\n    (define/public (fix idx)\n\n      )\n    ; unfix : exact-integer? -> void?\n    (define/public (unfix idx)\n\n      )\n    ; flip : -> void?\n    (define/public (flip)\n\n      )\n    ; all : -> boolean?\n    (define/public (all)\n\n      )\n    ; one : -> boolean?\n    (define/public (one)\n\n      )\n    ; count : -> exact-integer?\n    (define/public (count)\n\n      )\n    ; to-string : -> string?\n    (define/public (to-string)\n\n      )))\n\n;; Your bitset% object will be instantiated and called as such:\n;; (define obj (new bitset% [size size]))\n;; (send obj fix idx)\n;; (send obj unfix idx)\n;; (send obj flip)\n;; (define param_4 (send obj all))\n;; (define param_5 (send obj one))\n;; (define param_6 (send obj count))\n;; (define param_7 (send obj to-string))",
                    "__typename": "CodeSnippetNode"
                },
                {
                    "lang": "Erlang",
                    "langSlug": "erlang",
                    "code": "-spec bitset_init_(Size :: integer()) -> any().\nbitset_init_(Size) ->\n  .\n\n-spec bitset_fix(Idx :: integer()) -> any().\nbitset_fix(Idx) ->\n  .\n\n-spec bitset_unfix(Idx :: integer()) -> any().\nbitset_unfix(Idx) ->\n  .\n\n-spec bitset_flip() -> any().\nbitset_flip() ->\n  .\n\n-spec bitset_all() -> boolean().\nbitset_all() ->\n  .\n\n-spec bitset_one() -> boolean().\nbitset_one() ->\n  .\n\n-spec bitset_count() -> integer().\nbitset_count() ->\n  .\n\n-spec bitset_to_string() -> unicode:unicode_binary().\nbitset_to_string() ->\n  .\n\n\n%% Your functions will be called as such:\n%% bitset_init_(Size),\n%% bitset_fix(Idx),\n%% bitset_unfix(Idx),\n%% bitset_flip(),\n%% Param_4 = bitset_all(),\n%% Param_5 = bitset_one(),\n%% Param_6 = bitset_count(),\n%% Param_7 = bitset_to_string(),\n\n%% bitset_init_ will be called before every test case, in which you can do some necessary initializations.",
                    "__typename": "CodeSnippetNode"
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                {
                    "lang": "Elixir",
                    "langSlug": "elixir",
                    "code": "defmodule Bitset do\n  @spec init_(size :: integer) :: any\n  def init_(size) do\n\n  end\n\n  @spec fix(idx :: integer) :: any\n  def fix(idx) do\n\n  end\n\n  @spec unfix(idx :: integer) :: any\n  def unfix(idx) do\n\n  end\n\n  @spec flip() :: any\n  def flip() do\n\n  end\n\n  @spec all() :: boolean\n  def all() do\n\n  end\n\n  @spec one() :: boolean\n  def one() do\n\n  end\n\n  @spec count() :: integer\n  def count() do\n\n  end\n\n  @spec to_string() :: String.t\n  def to_string() do\n\n  end\nend\n\n# Your functions will be called as such:\n# Bitset.init_(size)\n# Bitset.fix(idx)\n# Bitset.unfix(idx)\n# Bitset.flip()\n# param_4 = Bitset.all()\n# param_5 = Bitset.one()\n# param_6 = Bitset.count()\n# param_7 = Bitset.to_string()\n\n# Bitset.init_ will be called before every test case, in which you can do some necessary initializations.",
                    "__typename": "CodeSnippetNode"
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            "hints": [
                "Note that flipping a bit twice does nothing.",
                "In order to determine the value of a bit, consider how you can efficiently count the number of flips made on the bit since its latest update."
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