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1 change: 1 addition & 0 deletions go.mod
Original file line number Diff line number Diff line change
Expand Up @@ -3,6 +3,7 @@ module awesome-golang-algorithm
go 1.24

require (
github.com/emirpasic/gods/v2 v2.0.0-alpha
github.com/imroc/req/v3 v3.54.2
github.com/stretchr/testify v1.11.1
)
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2 changes: 2 additions & 0 deletions go.sum
Original file line number Diff line number Diff line change
Expand Up @@ -3,6 +3,8 @@ github.com/andybalholm/brotli v1.2.0/go.mod h1:rzTDkvFWvIrjDXZHkuS16NPggd91W3kUS
github.com/creack/pty v1.1.9/go.mod h1:oKZEueFk5CKHvIhNR5MUki03XCEU+Q6VDXinZuGJ33E=
github.com/davecgh/go-spew v1.1.1 h1:vj9j/u1bqnvCEfJOwUhtlOARqs3+rkHYY13jYWTU97c=
github.com/davecgh/go-spew v1.1.1/go.mod h1:J7Y8YcW2NihsgmVo/mv3lAwl/skON4iLHjSsI+c5H38=
github.com/emirpasic/gods/v2 v2.0.0-alpha h1:dwFlh8pBg1VMOXWGipNMRt8v96dKAIvBehtCt6OtunU=
github.com/emirpasic/gods/v2 v2.0.0-alpha/go.mod h1:W0y4M2dtBB9U5z3YlghmpuUhiaZT2h6yoeE+C1sCp6A=
github.com/google/go-cmp v0.7.0 h1:wk8382ETsv4JYUZwIsn6YpYiWiBsYLSJiTsyBybVuN8=
github.com/google/go-cmp v0.7.0/go.mod h1:pXiqmnSA92OHEEa9HXL2W4E7lf9JzCmGVUdgjX3N/iU=
github.com/icholy/digest v1.1.0 h1:HfGg9Irj7i+IX1o1QAmPfIBNu/Q5A5Tu3n/MED9k9H4=
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Original file line number Diff line number Diff line change
@@ -1,28 +1,43 @@
# [3321.Find X-Sum of All K-Long Subarrays II][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 an array `nums` of `n` integers and two integers `k` and `x`.

The **x-sum** of an array is calculated by the following procedure:

- Count the occurrences of all elements in the array.
- Keep only the occurrences of the top `x` most frequent elements. If two elements have the same number of occurrences, the element with the **bigger** value is considered more frequent.
- Calculate the sum of the resulting array.

**Note** that if an array has less than x distinct elements, its **x-sum** is the sum of the array.

Return an integer array `answer` of length `n - k + 1` where `answer[i]` is the **x-sum** of the subarray `nums[i..i + k - 1]`.

**Example 1:**

```
Input: a = "11", b = "1"
Output: "100"
```
Input: nums = [1,1,2,2,3,4,2,3], k = 6, x = 2

## 题意
> ...
Output: [6,10,12]

## 题解
Explanation:

### 思路1
> ...
Find X-Sum of All K-Long Subarrays II
```go
For subarray [1, 1, 2, 2, 3, 4], only elements 1 and 2 will be kept in the resulting array. Hence, answer[0] = 1 + 1 + 2 + 2.
For subarray [1, 2, 2, 3, 4, 2], only elements 2 and 4 will be kept in the resulting array. Hence, answer[1] = 2 + 2 + 2 + 4. Note that 4 is kept in the array since it is bigger than 3 and 1 which occur the same number of times.
For subarray [2, 2, 3, 4, 2, 3], only elements 2 and 3 are kept in the resulting array. Hence, answer[2] = 2 + 2 + 2 + 3 + 3.
```

**Example 2:**

```
Input: nums = [3,8,7,8,7,5], k = 2, x = 2

Output: [11,15,15,15,12]

Explanation:

Since k == x, answer[i] is equal to the sum of the subarray nums[i..i + k - 1].
```

## 结语

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Original file line number Diff line number Diff line change
@@ -1,5 +1,107 @@
package Solution

func Solution(x bool) bool {
return x
import (
"github.com/emirpasic/gods/v2/trees/redblacktree"
)

func Solution(nums []int, k int, x int) []int64 {
helper := NewHelper(x)
ans := []int64{}

for i := 0; i < len(nums); i++ {
helper.Insert(nums[i])
if i >= k {
helper.Remove(nums[i-k])
}
if i >= k-1 {
ans = append(ans, helper.Get())
}
}

return ans
}

type Helper struct {
x int
result int64
large *redblacktree.Tree[pair, struct{}]
small *redblacktree.Tree[pair, struct{}]
occ map[int]int
}

type pair struct {
freq int
num int
}

func pairComparator(a, b pair) int {
if a.freq != b.freq {
return a.freq - b.freq
}
return a.num - b.num
}

func NewHelper(x int) *Helper {
return &Helper{
x: x,
result: 0,
large: redblacktree.NewWith[pair, struct{}](pairComparator),
small: redblacktree.NewWith[pair, struct{}](pairComparator),
occ: make(map[int]int),
}
}

func (h *Helper) Insert(num int) {
if h.occ[num] > 0 {
h.internalRemove(pair{freq: h.occ[num], num: num})
}
h.occ[num]++
h.internalInsert(pair{freq: h.occ[num], num: num})
}

func (h *Helper) Remove(num int) {
h.internalRemove(pair{freq: h.occ[num], num: num})
h.occ[num]--
if h.occ[num] > 0 {
h.internalInsert(pair{freq: h.occ[num], num: num})
}
}

func (h *Helper) Get() int64 {
return h.result
}

func (h *Helper) internalInsert(p pair) {
if h.large.Size() < h.x {
h.result += int64(p.freq) * int64(p.num)
h.large.Put(p, struct{}{})
} else {
minLarge := h.large.Left().Key
if pairComparator(p, minLarge) > 0 {
h.result += int64(p.freq) * int64(p.num)
h.large.Put(p, struct{}{})
toRemove := h.large.Left().Key
h.result -= int64(toRemove.freq) * int64(toRemove.num)
h.large.Remove(toRemove)
h.small.Put(toRemove, struct{}{})
} else {
h.small.Put(p, struct{}{})
}
}
}

func (h *Helper) internalRemove(p pair) {
if _, found := h.large.Get(p); found {
h.result -= int64(p.freq) * int64(p.num)
h.large.Remove(p)

if h.small.Size() > 0 {
maxSmall := h.small.Right().Key
h.result += int64(maxSmall.freq) * int64(maxSmall.num)
h.small.Remove(maxSmall)
h.large.Put(maxSmall, struct{}{})
}
} else if _, found := h.small.Get(p); found {
h.small.Remove(p)
}
}
Original file line number Diff line number Diff line change
Expand Up @@ -10,30 +10,30 @@ func TestSolution(t *testing.T) {
// 测试用例
cases := []struct {
name string
inputs bool
expect bool
inputs []int
k, x int
expect []int64
}{
{"TestCase", true, true},
{"TestCase", true, true},
{"TestCase", false, false},
{"TestCase1", []int{1, 1, 2, 2, 3, 4, 2, 3}, 6, 2, []int64{6, 10, 12}},
{"TestCase2", []int{3, 8, 7, 8, 7, 5}, 2, 2, []int64{11, 15, 15, 15, 12}},
}

// 开始测试
for i, c := range cases {
t.Run(c.name+" "+strconv.Itoa(i), func(t *testing.T) {
got := Solution(c.inputs)
got := Solution(c.inputs, c.k, c.x)
if !reflect.DeepEqual(got, c.expect) {
t.Fatalf("expected: %v, but got: %v, with inputs: %v",
c.expect, got, c.inputs)
t.Fatalf("expected: %v, but got: %v, with inputs: %v %v %v",
c.expect, got, c.inputs, c.k, c.x)
}
})
}
}

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

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