leetcode-problemset/leetcode/originData/find-all-possible-stable-binary-arrays-i.json

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            "title": "Find All Possible Stable Binary Arrays I",
            "titleSlug": "find-all-possible-stable-binary-arrays-i",
            "content": "<p>You are given 3 positive integers <code>zero</code>, <code>one</code>, and <code>limit</code>.</p>\n\n<p>A <span data-keyword=\"binary-array\">binary array</span> <code>arr</code> is called <strong>stable</strong> if:</p>\n\n<ul>\n\t<li>The number of occurrences of 0 in <code>arr</code> is <strong>exactly </strong><code>zero</code>.</li>\n\t<li>The number of occurrences of 1 in <code>arr</code> is <strong>exactly</strong> <code>one</code>.</li>\n\t<li>Each <span data-keyword=\"subarray-nonempty\">subarray</span> of <code>arr</code> with a size greater than <code>limit</code> must contain <strong>both </strong>0 and 1.</li>\n</ul>\n\n<p>Return the <em>total</em> number of <strong>stable</strong> binary arrays.</p>\n\n<p>Since the answer may be very large, return it <strong>modulo</strong> <code>10<sup>9</sup> + 7</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">zero = 1, one = 1, limit = 2</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">2</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>The two possible stable binary arrays are <code>[1,0]</code> and <code>[0,1]</code>, as both arrays have a single 0 and a single 1, and no subarray has a length greater than 2.</p>\n</div>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">zero = 1, one = 2, limit = 1</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">1</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>The only possible stable binary array is <code>[1,0,1]</code>.</p>\n\n<p>Note that the binary arrays <code>[1,1,0]</code> and <code>[0,1,1]</code> have subarrays of length 2 with identical elements, hence, they are not stable.</p>\n</div>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">zero = 3, one = 3, limit = 2</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">14</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>All the possible stable binary arrays are <code>[0,0,1,0,1,1]</code>, <code>[0,0,1,1,0,1]</code>, <code>[0,1,0,0,1,1]</code>, <code>[0,1,0,1,0,1]</code>, <code>[0,1,0,1,1,0]</code>, <code>[0,1,1,0,0,1]</code>, <code>[0,1,1,0,1,0]</code>, <code>[1,0,0,1,0,1]</code>, <code>[1,0,0,1,1,0]</code>, <code>[1,0,1,0,0,1]</code>, <code>[1,0,1,0,1,0]</code>, <code>[1,0,1,1,0,0]</code>, <code>[1,1,0,0,1,0]</code>, and <code>[1,1,0,1,0,0]</code>.</p>\n</div>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= zero, one, limit &lt;= 200</code></li>\n</ul>\n",
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                    "lang": "C++",
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                    "code": "class Solution {\npublic:\n    int numberOfStableArrays(int zero, int one, int limit) {\n        \n    }\n};",
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                    "lang": "Java",
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                    "code": "class Solution {\n    public int numberOfStableArrays(int zero, int one, int limit) {\n        \n    }\n}",
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                    "lang": "Python",
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                    "code": "class Solution(object):\n    def numberOfStableArrays(self, zero, one, limit):\n        \"\"\"\n        :type zero: int\n        :type one: int\n        :type limit: int\n        :rtype: int\n        \"\"\"\n        ",
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                    "code": "class Solution:\n    def numberOfStableArrays(self, zero: int, one: int, limit: int) -> int:\n        ",
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                    "code": "int numberOfStableArrays(int zero, int one, int limit) {\n    \n}",
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                    "code": "public class Solution {\n    public int NumberOfStableArrays(int zero, int one, int limit) {\n        \n    }\n}",
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                    "code": "/**\n * @param {number} zero\n * @param {number} one\n * @param {number} limit\n * @return {number}\n */\nvar numberOfStableArrays = function(zero, one, limit) {\n    \n};",
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                    "code": "class Solution {\n    func numberOfStableArrays(_ zero: Int, _ one: Int, _ limit: Int) -> Int {\n        \n    }\n}",
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                    "code": "class Solution {\n    fun numberOfStableArrays(zero: Int, one: Int, limit: Int): Int {\n        \n    }\n}",
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                    "lang": "Go",
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                    "code": "func numberOfStableArrays(zero int, one int, limit int) int {\n    \n}",
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                    "code": "# @param {Integer} zero\n# @param {Integer} one\n# @param {Integer} limit\n# @return {Integer}\ndef number_of_stable_arrays(zero, one, limit)\n    \nend",
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                    "code": "object Solution {\n    def numberOfStableArrays(zero: Int, one: Int, limit: Int): Int = {\n        \n    }\n}",
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                    "lang": "Rust",
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                    "code": "impl Solution {\n    pub fn number_of_stable_arrays(zero: i32, one: i32, limit: i32) -> i32 {\n        \n    }\n}",
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                    "lang": "Racket",
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                    "code": "(define/contract (number-of-stable-arrays zero one limit)\n  (-> exact-integer? exact-integer? exact-integer? exact-integer?)\n  )",
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                    "code": "-spec number_of_stable_arrays(Zero :: integer(), One :: integer(), Limit :: integer()) -> integer().\nnumber_of_stable_arrays(Zero, One, Limit) ->\n  .",
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                    "code": "defmodule Solution do\n  @spec number_of_stable_arrays(zero :: integer, one :: integer, limit :: integer) :: integer\n  def number_of_stable_arrays(zero, one, limit) do\n    \n  end\nend",
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                "Let <code>dp[a][b][c = 0/1][d]</code> be the number of stable arrays with exactly <code>a</code> 0s, <code>b</code> 1s and consecutive <code>d</code> value of <code>c</code>’s at the end.",
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