Add solution and test-cases for problem 593

leetcode/501-600/0593.Valid-Square/README.md

@@ -1,28 +1,32 @@
 # [593.Valid Square][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
+Given the coordinates of four points in 2D space `p1`, `p2`, `p3` and `p4`, return true if the four points construct a square.
+
+The coordinate of a point pi is represented as `[xi, yi]`. The input is **not** given in any order.
+
+A **valid square** has four equal sides with positive length and four equal angles (90-degree angles).
 
 **Example 1:**
 
 ```
-Input: a = "11", b = "1"
-Output: "100"
+Input: p1 = [0,0], p2 = [1,1], p3 = [1,0], p4 = [0,1]
+Output: true
 ```
 
-## 题意
-> ...
-
-## 题解
+**Example 2:**
 
-### 思路1
-> ...
-Valid Square
-```go
 ```
+Input: p1 = [0,0], p2 = [1,1], p3 = [1,0], p4 = [0,12]
+Output: false
+```
+
+**Example 3:**
 
+```
+Input: p1 = [1,0], p2 = [-1,0], p3 = [0,1], p4 = [0,-1]
+Output: true
+```
 
 ## 结语
 

leetcode/501-600/0593.Valid-Square/Solution.go

@@ -1,5 +1,62 @@
 package Solution
 
-func Solution(x bool) bool {
-	return x
+func isVertical(x1, y1, x2, y2 []int) bool {
+	// 0
+	a := y1[0] - x1[0]
+	// -2
+	b := y1[1] - x1[1]
+	// -2
+	c := y2[0] - x2[0]
+	// 0
+	d := y2[1] - x2[1]
+	return a*c+b*d == 0
+}
+
+func distance(a, b []int) int {
+	x := a[0] - b[0]
+	y := a[1] - b[1]
+	return x*x + y*y
+}
+func edgesEqual(x1, y1, x2, y2 []int) bool {
+	x1x2 := distance(x1, x2)
+	x1y2 := distance(x1, y2)
+
+	if x1x2 != x1y2 {
+		return false
+	}
+	y1x2 := distance(y1, x2)
+	y1y2 := distance(y1, y2)
+	if y1x2 != y1y2 {
+		return false
+	}
+	if y1x2 != x1y2 {
+		return false
+	}
+	return distance(x1, y1) == distance(x2, y2)
+}
+
+func Solution(p1 []int, p2 []int, p3 []int, p4 []int) bool {
+	ps := [][]int{p1, p2, p3, p4}
+	for i := range 3 {
+		for j := i + 1; j < 4; j++ {
+			if ps[i][0] == ps[j][0] && ps[i][1] == ps[j][1] {
+				return false
+			}
+		}
+	}
+	groups := [][][]int{
+		{p1, p2, p3, p4},
+		{p1, p3, p2, p4},
+		{p1, p4, p2, p3},
+	}
+	for _, g := range groups {
+		if !isVertical(g[0], g[1], g[2], g[3]) {
+			continue
+		}
+		if !edgesEqual(g[0], g[1], g[2], g[3]) {
+			continue
+		}
+		return true
+	}
+	return false
 }

leetcode/501-600/0593.Valid-Square/Solution_test.go

@@ -9,31 +9,31 @@ import (
 func TestSolution(t *testing.T) {
 	//	测试用例
 	cases := []struct {
-		name   string
-		inputs bool
-		expect bool
+		name           string
+		p1, p2, p3, p4 []int
+		expect         bool
 	}{
-		{"TestCase", true, true},
-		{"TestCase", true, true},
-		{"TestCase", false, false},
+		{"TestCase1", []int{0, 0}, []int{1, 1}, []int{1, 0}, []int{0, 1}, true},
+		{"TestCase2", []int{0, 0}, []int{1, 1}, []int{1, 0}, []int{0, 12}, false},
+		{"TestCase3", []int{1, 0}, []int{-1, 0}, []int{0, 1}, []int{0, -1}, true},
 	}
 
 	//	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.p1, c.p2, c.p3, c.p4)
 			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 %v",
+					c.expect, got, c.p1, c.p2, c.p3, c.p4)
 			}
 		})
 	}
 }
 
-//	压力测试
+// 压力测试
 func BenchmarkSolution(b *testing.B) {
 }
 
-//	使用案列
+// 使用案列
 func ExampleSolution() {
 }