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Original file line number Diff line number Diff line change
@@ -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

Expand Down
Original file line number Diff line number Diff line change
@@ -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
}
Original file line number Diff line number Diff line change
Expand Up @@ -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() {
}
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