Leetcode 2027: Minimum Moves to Convert String
You are given a string
s
consisting of n
characters, where each character is either ‘X’ or ‘O’. A move consists of selecting three consecutive characters in the string and converting them all to ‘O’. If a character is already ‘O’, it remains unchanged. Determine the minimum number of moves required to convert all the characters of s
to ‘O’.Problem
Approach
Steps
Complexity
Input: The input consists of a string `s` containing only the characters 'X' and 'O'.
Example: s = "XXOX"
Constraints:
• 3 <= s.length <= 1000
• s[i] is either 'X' or 'O'.
Output: Return the minimum number of moves required to convert all the characters of `s` to 'O'.
Example: Output: 2
Constraints:
• The result is the minimum number of operations needed.
Goal: The goal is to count how many moves are needed to convert all 'X's in the string to 'O's by selecting consecutive blocks of three characters.
Steps:
• 1. Traverse the string from left to right.
• 2. Whenever you encounter an 'X', increment the move count and skip the next two characters (as we can change three consecutive characters in one move).
• 3. Continue this process until the end of the string is reached.
Goal: Constraints for input values and operations.
Steps:
• 3 <= s.length <= 1000
• s[i] is either 'X' or 'O'.
Assumptions:
• The string `s` contains only the characters 'X' and 'O'.
• Input: s = "XXX"
• Explanation: We can convert all 'X's to 'O's in one move, resulting in 'OOO'.
• Input: s = "XXOX"
• Explanation: In the first move, we convert 'XXX' to 'OOO', yielding 'OOOX'. In the second move, we convert 'OOX' to 'OOO'.
• Input: s = "OOOO"
• Explanation: Since the string already consists of only 'O's, no moves are required.
Approach: The problem can be solved by iterating over the string and performing a move whenever an 'X' is encountered. After each move, skip the next two characters since they have been converted to 'O'.
Observations:
• The minimum number of moves corresponds to the number of non-overlapping consecutive 'X' blocks of length 3.
• A greedy approach can be applied: for each 'X' encountered, immediately make a move and move ahead by 3 characters.
Steps:
• 1. Initialize a counter for moves and a pointer to traverse the string.
• 2. Iterate through the string, and for every 'X' found, increment the counter and skip the next two characters.
• 3. Continue this until the end of the string.
Empty Inputs:
• Not applicable, as the string length is at least 3.
Large Inputs:
• Ensure that the solution runs efficiently even for the maximum input size (1000 characters).
Special Values:
• If the string contains only 'O's, no moves are needed.
Constraints:
• The approach should work within the time limits for the maximum input size.
int minimumMoves(string s) {
int i = 0, n = s.length(), count = 0;
while (i < n) {
if (s[i] == 'O')
i++;
else
count++, i += 3;
}
return count;
}
1 : Function Definition
int minimumMoves(string s) {
This defines the function 'minimumMoves' which takes a string 's' containing 'X' and 'O' and returns the minimum number of moves required to convert all 'X's to 'O's.
2 : Variable Initialization
int i = 0, n = s.length(), count = 0;
Here, three variables are initialized: 'i' for the current index, 'n' for the length of the string, and 'count' to keep track of the number of moves.
3 : Loop Start
while (i < n) {
This starts a while loop that iterates over the string until all characters are processed.
4 : Condition Check
if (s[i] == 'O')
This checks if the current character is 'O'. If it is, we simply move to the next character without making any changes.
5 : Index Increment
i++;
If the current character is 'O', we increment 'i' to move to the next character.
6 : Condition Else
else
If the current character is 'X', we need to make a move.
7 : Move Calculation
count++, i += 3;
In this case, we increment the move count by 1 and move the index 'i' forward by 3 to simulate changing up to three 'X's to 'O's in one move.
8 : Return Statement
return count;
This returns the total number of moves calculated to convert all 'X's in the string to 'O's.
Best Case: O(n)
Average Case: O(n)
Worst Case: O(n)
Description: The solution involves a single traversal of the string, making it O(n) in all cases.
Best Case: O(1)
Worst Case: O(1)
Description: The space complexity is O(1) as the algorithm only requires a few variables for counting and indexing.
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