{ "data": { "question": { "questionId": "3479", "questionFrontendId": "3234", "boundTopicId": null, "title": "Count the Number of Substrings With Dominant Ones", "titleSlug": "count-the-number-of-substrings-with-dominant-ones", "content": "

You are given a binary string s.

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Return the number of substrings with dominant ones.

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A string has dominant ones if the number of ones in the string is greater than or equal to the square of the number of zeros in the string.

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Example 1:

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Input: s = "00011"

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Output: 5

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Explanation:

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The substrings with dominant ones are shown in the table below.

\n
\n\n\n\t\n\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\n\t\n\t\n\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\n\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\n\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\n\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\n\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\n\t\n
ijs[i..j]Number of ZerosNumber of Ones
33101
44101
230111
341102
2401112
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Example 2:

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Input: s = "101101"

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Output: 16

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Explanation:

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The substrings with non-dominant ones are shown in the table below.

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Since there are 21 substrings total and 5 of them have non-dominant ones, it follows that there are 16 substrings with dominant ones.

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\n\n\n\t\n\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\n\t\n\t\n\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\n\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\n\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\n\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\n\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\n\t\n
ijs[i..j]Number of ZerosNumber of Ones
11010
44010
14011022
041011023
150110123
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Constraints:

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