From fd2924d216d49ec79d1ed73dd9bf572fc8c08be8 Mon Sep 17 00:00:00 2001
From: jackfiled <xcrenchangjun@outlook.com>
Date: Wed, 14 May 2025 14:27:36 +0800
Subject: [PATCH] 20250514 finished.

---
 src/problem/mod.rs                            |   2 +
 ...ters_in_string_after_transformations_ii.rs | 132 ++++++++++++++++++
 2 files changed, 134 insertions(+)
 create mode 100644 src/problem/p3337_total_characters_in_string_after_transformations_ii.rs

diff --git a/src/problem/mod.rs b/src/problem/mod.rs
index 613a568..d37133b 100644
--- a/src/problem/mod.rs
+++ b/src/problem/mod.rs
@@ -652,3 +652,5 @@ mod p1550_three_consecutive_odds;
 mod p2094_finding_3_digit_even_numbers;
 
 mod p3335_total_characters_in_string_after_transformations_i;
+
+mod p3337_total_characters_in_string_after_transformations_ii;
diff --git a/src/problem/p3337_total_characters_in_string_after_transformations_ii.rs b/src/problem/p3337_total_characters_in_string_after_transformations_ii.rs
new file mode 100644
index 0000000..a23ebcd
--- /dev/null
+++ b/src/problem/p3337_total_characters_in_string_after_transformations_ii.rs
@@ -0,0 +1,132 @@
+/**
+ * [3337] Total Characters in String After Transformations II
+ */
+pub struct Solution {}
+
+// submission codes start here
+use std::ops::Mul;
+
+const LENGTH: usize = 26;
+const MOD: i64 = 1_000_000_007;
+
+#[derive(Debug, Copy, Clone)]
+struct Matrix {
+    array: [[i64; LENGTH]; LENGTH],
+}
+
+impl Matrix {
+    fn new() -> Self {
+        Self {
+            array: [[0; LENGTH]; LENGTH],
+        }
+    }
+
+    fn unit_matrix() -> Self {
+        let mut matrix = Self::new();
+
+        for i in 0..LENGTH {
+            matrix.array[i][i] = 1;
+        }
+
+        matrix
+    }
+
+    fn quick_multiply(&self, mut y: i64) -> Self {
+        let mut result = Self::unit_matrix();
+        let mut current = self.clone();
+
+        while y > 0 {
+            if y & 1 == 1 {
+                result = result * current;
+            }
+
+            current = current * current;
+            y >>= 1;
+        }
+
+        result
+    }
+}
+
+impl Mul for Matrix {
+    type Output = Self;
+
+    fn mul(self, rhs: Self) -> Self::Output {
+        let mut result = Self::new();
+
+        for i in 0..LENGTH {
+            for j in 0..LENGTH {
+                for k in 0..LENGTH {
+                    result.array[i][j] =
+                        (result.array[i][j] + self.array[i][k] * rhs.array[k][j]) % MOD;
+                }
+            }
+        }
+
+        result
+    }
+}
+
+impl Solution {
+    pub fn length_after_transformations(s: String, t: i32, nums: Vec<i32>) -> i32 {
+        let mut t_matrix = Matrix::new();
+
+        for i in 0..LENGTH {
+            for j in 1..=nums[i] {
+                let j = j as usize;
+                t_matrix.array[(i + j) % LENGTH][i] = 1;
+            }
+        }
+
+        let transfer_matrix = t_matrix.quick_multiply(t as i64);
+        let mut result = 0;
+        let mut chars = [0; LENGTH];
+
+        for c in s.bytes() {
+            chars[(c - b'a') as usize] += 1;
+        }
+
+        for i in 0..LENGTH {
+            for j in 0..LENGTH {
+                result = (result + transfer_matrix.array[i][j] * chars[j]) % MOD;
+            }
+        }
+
+        result as i32
+    }
+}
+
+// submission codes end
+
+#[cfg(test)]
+mod tests {
+    use super::*;
+
+    #[test]
+    fn test_3337() {
+        assert_eq!(
+            5,
+            Solution::length_after_transformations(
+                "abcyy".to_owned(),
+                1,
+                vec![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]
+            )
+        );
+        assert_eq!(
+            7,
+            Solution::length_after_transformations(
+                "abcyy".to_owned(),
+                2,
+                vec![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]
+            )
+        );
+        assert_eq!(
+            8,
+            Solution::length_after_transformations(
+                "azbk".to_string(),
+                1,
+                vec![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]
+            )
+        );
+    }
+}