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Original file line number Diff line number Diff line change
@@ -1,28 +1,51 @@
# [3234.Count the Number of Substrings With Dominant Ones][title]

> [!WARNING|style:flat]
> This question is temporarily unanswered if you have good ideas. Welcome to [Create Pull Request PR](https://github.com/kylesliu/awesome-golang-algorithm)

## Description
You are given a binary string `s`.

Return the number of substrings with **dominant** ones.

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.

**Example 1:**

```
Input: a = "11", b = "1"
Output: "100"
```
Input: s = "00011"

## 题意
> ...
Output: 5

## 题解
Explanation:

### 思路1
> ...
Count the Number of Substrings With Dominant Ones
```go
The substrings with dominant ones are shown in the table below.

i j s[i..j] Number of Zeros Number of Ones
3 3 1 0 1
4 4 1 0 1
2 3 01 1 1
3 4 11 0 2
2 4 011 1 2
```

**Example 2:**

```
Input: s = "101101"

Output: 16

Explanation:

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

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

i j s[i..j] Number of Zeros Number of Ones
1 1 0 1 0
4 4 0 1 0
1 4 0110 2 2
0 4 10110 2 3
1 5 01101 2 3
```

## 结语

Expand Down
Original file line number Diff line number Diff line change
@@ -1,5 +1,35 @@
package Solution

func Solution(x bool) bool {
return x
func Solution(s string) int {
n := len(s)
pre := make([]int, n+1)
pre[0] = -1
for i := 0; i < n; i++ {
if i == 0 || (i > 0 && s[i-1] == '0') {
pre[i+1] = i
} else {
pre[i+1] = pre[i]
}
}
res := 0
for i := 1; i <= n; i++ {
cnt0 := 0
if s[i-1] == '0' {
cnt0 = 1
}
j := i
for j > 0 && cnt0*cnt0 <= n {
cnt1 := (i - pre[j]) - cnt0
if cnt0*cnt0 <= cnt1 {
add := j - pre[j]
if cnt1-cnt0*cnt0+1 < add {
add = cnt1 - cnt0*cnt0 + 1
}
res += add
}
j = pre[j]
cnt0++
}
}
return res
}
Original file line number Diff line number Diff line change
Expand Up @@ -10,12 +10,11 @@ func TestSolution(t *testing.T) {
// 测试用例
cases := []struct {
name string
inputs bool
expect bool
inputs string
expect int
}{
{"TestCase", true, true},
{"TestCase", true, true},
{"TestCase", false, false},
{"TestCase1", "00011", 5},
{"TestCase2", "101101", 16},
}

// 开始测试
Expand All @@ -30,10 +29,10 @@ func TestSolution(t *testing.T) {
}
}

// 压力测试
// 压力测试
func BenchmarkSolution(b *testing.B) {
}

// 使用案列
// 使用案列
func ExampleSolution() {
}
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