Add solution and test-cases for problem 3337

Author: 0xff-dev

leetcode/3301-3400/3337.Total-Characters-in-String-After-Transformations-II/README.md

@@ -1,28 +1,61 @@
 # [3337.Total Characters in String After Transformations 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 a string `s` consisting of lowercase English letters, an integer `t` representing the number of **transformation** to perform, and an array `nums` of size 26. In one **transformation**, every character in s is replaced according to the following rules:
+
+- Replace `s[i]` with the **next** `nums[s[i] - 'a']` consecutive characters in the alphabet. For example, if `s[i] = 'a'` and `nums[0] = 3`, the character `'a'` transforms into the next 3 consecutive characters ahead of it, which results in `"bcd"`.
+- The transformation **wraps** around the alphabet if it exceeds `'z'`. For example, if `s[i] = 'y'` and `nums[24] = 3`, the character `'y'` transforms into the next 3 consecutive characters ahead of it, which results in `"zab"`.
+
+Return the length of the resulting string after **exactly** `t` transformations.
+
+Since the answer may be very large, return it **modulo** `10^9 + 7`.
 
 **Example 1:**
 
 ```
-Input: a = "11", b = "1"
-Output: "100"
-```
+Input: s = "abcyy", t = 2, nums = [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2]
+
+Output: 7
+
+Explanation:
 
-## 题意
-> ...
+First Transformation (t = 1):
 
-## 题解
+'a' becomes 'b' as nums[0] == 1
+'b' becomes 'c' as nums[1] == 1
+'c' becomes 'd' as nums[2] == 1
+'y' becomes 'z' as nums[24] == 1
+'y' becomes 'z' as nums[24] == 1
+String after the first transformation: "bcdzz"
+Second Transformation (t = 2):
 
-### 思路1
-> ...
-Total Characters in String After Transformations II
-```go
+'b' becomes 'c' as nums[1] == 1
+'c' becomes 'd' as nums[2] == 1
+'d' becomes 'e' as nums[3] == 1
+'z' becomes 'ab' as nums[25] == 2
+'z' becomes 'ab' as nums[25] == 2
+String after the second transformation: "cdeabab"
+Final Length of the string: The string is "cdeabab", which has 7 characters.
 ```
 
+**Example 2:**
+
+```
+Input: s = "azbk", t = 1, nums = [2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2]
+
+Output: 8
+
+Explanation:
+
+First Transformation (t = 1):
+
+'a' becomes 'bc' as nums[0] == 2
+'z' becomes 'ab' as nums[25] == 2
+'b' becomes 'cd' as nums[1] == 2
+'k' becomes 'lm' as nums[10] == 2
+String after the first transformation: "bcabcdlm"
+Final Length of the string: The string is "bcabcdlm", which has 8 characters.
+```
 
 ## 结语
 

leetcode/3301-3400/3337.Total-Characters-in-String-After-Transformations-II/Solution.go

@@ -1,5 +1,80 @@
 package Solution
 
-func Solution(x bool) bool {
-	return x
+const MOD = 1e9 + 7
+const L = 26
+
+func Solution(s string, t int, nums []int) int {
+	T := NewMat()
+	for i := 0; i < L; i++ {
+		for j := 1; j <= nums[i]; j++ {
+			T.a[(i+j)%L][i] = 1
+		}
+	}
+
+	res := quickMul(T, t)
+	f := make([]int, L)
+	for _, ch := range s {
+		f[ch-'a']++
+	}
+
+	ans := 0
+	for i := 0; i < L; i++ {
+		for j := 0; j < L; j++ {
+			ans = (ans + res.a[i][j]*f[j]) % MOD
+		}
+	}
+	return ans
+}
+
+type Mat struct {
+	a [L][L]int
+}
+
+func NewMat() *Mat {
+	return &Mat{}
+}
+
+func NewMatCopy(from *Mat) *Mat {
+	m := &Mat{}
+	for i := 0; i < L; i++ {
+		for j := 0; j < L; j++ {
+			m.a[i][j] = from.a[i][j]
+		}
+	}
+	return m
+}
+
+func (m *Mat) Mul(other *Mat) *Mat {
+	result := NewMat()
+	for i := 0; i < L; i++ {
+		for j := 0; j < L; j++ {
+			for k := 0; k < L; k++ {
+				result.a[i][j] = (result.a[i][j] + m.a[i][k]*other.a[k][j]) % MOD
+			}
+		}
+	}
+	return result
+}
+
+/* identity matrix */
+func I() *Mat {
+	m := NewMat()
+	for i := 0; i < L; i++ {
+		m.a[i][i] = 1
+	}
+	return m
+}
+
+/* matrix exponentiation by squaring */
+func quickMul(x *Mat, y int) *Mat {
+	ans := I()
+	cur := NewMatCopy(x)
+	for y > 0 {
+		if y&1 == 1 {
+			ans = ans.Mul(cur)
+		}
+		cur = cur.Mul(cur)
+		y >>= 1
+	}
+	return ans
 }

leetcode/3301-3400/3337.Total-Characters-in-String-After-Transformations-II/Solution_test.go

@@ -10,30 +10,31 @@ func TestSolution(t *testing.T) {
 	//	测试用例
 	cases := []struct {
 		name   string
-		inputs bool
-		expect bool
+		inputs string
+		tt     int
+		nums   []int
+		expect int
 	}{
-		{"TestCase", true, true},
-		{"TestCase", true, true},
-		{"TestCase", false, false},
+		{"TestCase1", "abcyy", 2, []int{1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2}, 7},
+		{"TestCase2", "azbk", 1, []int{2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2}, 8},
 	}
 
 	//	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.tt, c.nums)
 			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.tt, c.nums)
 			}
 		})
 	}
 }
 
-//	压力测试
+// 压力测试
 func BenchmarkSolution(b *testing.B) {
 }
 
-//	使用案列
+// 使用案列
 func ExampleSolution() {
 }