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Add solution and test-cases for problem 2940 #1071

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Original file line number Diff line number Diff line change
@@ -1,28 +1,41 @@
# [2940.Find Building Where Alice and Bob Can Meet][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 **0-indexed** array `heights` of positive integers, where `heights[i]` represents the height of the `ith` building.

If a person is in building `i`, they can move to any other building `j` if and only if `i < j` and `heights[i] < heights[j]`.

You are also given another array `queries` where `queries[i] = [ai, bi]`. On the `ith` query, Alice is in building `ai` while Bob is in building `bi`.

Return an array `ans` where `ans[i]` is **the index of the leftmost building** where Alice and Bob can meet on the `ith` query. If Alice and Bob cannot move to a common building on query `i`, set `ans[i]` to `-1`.

**Example 1:**

```
Input: a = "11", b = "1"
Output: "100"
Input: heights = [6,4,8,5,2,7], queries = [[0,1],[0,3],[2,4],[3,4],[2,2]]
Output: [2,5,-1,5,2]
Explanation: In the first query, Alice and Bob can move to building 2 since heights[0] < heights[2] and heights[1] < heights[2].
In the second query, Alice and Bob can move to building 5 since heights[0] < heights[5] and heights[3] < heights[5].
In the third query, Alice cannot meet Bob since Alice cannot move to any other building.
In the fourth query, Alice and Bob can move to building 5 since heights[3] < heights[5] and heights[4] < heights[5].
In the fifth query, Alice and Bob are already in the same building.
For ans[i] != -1, It can be shown that ans[i] is the leftmost building where Alice and Bob can meet.
For ans[i] == -1, It can be shown that there is no building where Alice and Bob can meet.
```

## 题意
> ...
**Example 2:**

## 题解

### 思路1
> ...
Find Building Where Alice and Bob Can Meet
```go
```

Input: heights = [5,3,8,2,6,1,4,6], queries = [[0,7],[3,5],[5,2],[3,0],[1,6]]
Output: [7,6,-1,4,6]
Explanation: In the first query, Alice can directly move to Bob's building since heights[0] < heights[7].
In the second query, Alice and Bob can move to building 6 since heights[3] < heights[6] and heights[5] < heights[6].
In the third query, Alice cannot meet Bob since Bob cannot move to any other building.
In the fourth query, Alice and Bob can move to building 4 since heights[3] < heights[4] and heights[0] < heights[4].
In the fifth query, Alice can directly move to Bob's building since heights[1] < heights[6].
For ans[i] != -1, It can be shown that ans[i] is the leftmost building where Alice and Bob can meet.
For ans[i] == -1, It can be shown that there is no building where Alice and Bob can meet.
```

## 结语

Expand Down
Original file line number Diff line number Diff line change
@@ -1,5 +1,54 @@
package Solution

func Solution(x bool) bool {
return x
import "sort"

func Solution(heights []int, queries [][]int) []int {
// monotonic stack + sort + binarysearch
ll := len(queries)
indies := make([]int, ll)
for i := range ll {
if queries[i][0] > queries[i][1] {
queries[i][0], queries[i][1] = queries[i][1], queries[i][0]
}
indies[i] = i
}
sort.Slice(indies, func(i, j int) bool {
return queries[indies[i]][1] > queries[indies[j]][1]
})

ans := make([]int, ll)
for i := range ll {
ans[i] = -1
}

l := len(heights)
stack := make([]int, l)
stackIndex := l - 1
stack[stackIndex] = l - 1
cur := l - 2

for _, i := range indies {
a, b := queries[i][0], queries[i][1]
if a == b || heights[a] < heights[b] {
ans[i] = b
continue
}
if b == l-1 {
continue
}
target := max(heights[a], heights[b])
for ; cur > b; cur-- {
for ; stackIndex != l && heights[cur] >= heights[stack[stackIndex]]; stackIndex++ {
}
stackIndex--
stack[stackIndex] = cur
}
if idx := sort.Search(l-stackIndex, func(i int) bool {
return heights[stack[i+stackIndex]] > target
}); idx != l-stackIndex {
ans[i] = stack[idx+stackIndex]
}
}

return ans
}
Original file line number Diff line number Diff line change
Expand Up @@ -9,31 +9,31 @@ import (
func TestSolution(t *testing.T) {
// 测试用例
cases := []struct {
name string
inputs bool
expect bool
name string
heights []int
queries [][]int
expect []int
}{
{"TestCase", true, true},
{"TestCase", true, true},
{"TestCase", false, false},
{"TestCase1", []int{6, 4, 8, 5, 2, 7}, [][]int{{0, 1}, {0, 3}, {2, 4}, {3, 4}, {2, 2}}, []int{2, 5, -1, 5, 2}},
{"TestCase2", []int{5, 3, 8, 2, 6, 1, 4, 6}, [][]int{{0, 7}, {3, 5}, {5, 2}, {3, 0}, {1, 6}}, []int{7, 6, -1, 4, 6}},
}

// 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.heights, c.queries)
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",
c.expect, got, c.heights, c.queries)
}
})
}
}

// 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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