# 796. Rotate String

## Intuition

To check if one string is a rotation of another, we can **double the original string**. If the rotated version exists, it **must appear as a substring** within this doubled string.

## Complexity

| Space Complexity | Time Complexity   |
| ---------------- | ----------------- |
| $$\text{O}(N)$$  | $$\text{O}(N^2)$$ |

## Code

```java
public boolean rotateString(String original, String target) {
    // Edge case: if lengths differ, rotation is not possible
    if (original.length() != target.length()) return false;

    // Create a doubled version of the original string
    String doubledOriginal = original + original;
    int originalLength = original.length();

    // Check all substrings of length originalLength in doubledOriginal
    for (int i = 0; i < originalLength; ++i) {
        // Extract substring and compare it with target
        if (doubledOriginal.substring(i, i + originalLength).equals(target)) {
            return true; // Found a match; it's a valid rotation
        }
    }

    return false; // No valid rotation found
}

```


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