How to Solve Minimum Number of Operations to Make String Sorted Leetcode Problem - Interview Coder Guide
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How to Solve Minimum Number of Operations to Make String Sorted Problem

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Hard#1941
LeetCode Problem

Minimum Number of Operations to Make String Sorted

You are given a string s (0-indexed)​​​​​​. You are asked to perform the following operation on s​​​​​​ until you get a sorted string: Find the largest index i such that 1 <= i < s.length and s[i] < s...

MathStringCombinatorics

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Problem Breakdown

Understanding the Minimum Number of Operations to Make String Sorted Problem

Let's break down this LeetCode problem and understand what makes it challenging in interview settings.

Problem Statement

You are given a string s (0-indexed)​​​​​​. You are asked to perform the following operation on s​​​​​​ until you get a sorted string: Find the largest index i such that 1 <= i < s.length and s[i] < s[i - 1]. Find the largest index j such that i <= j < s.length and s[k] < s[i - 1] for all the possible values of k in the range [i, j] inclusive. Swap the two characters at indices i - 1​​​​ and j​​​​​. Reverse the suffix starting at index i​​​​​​. Return the number of operations needed to make the string sorted. Since the answer can be too large, return it modulo 109 + 7.

HardProblem #1941
LeetCode

Minimum Number of Operations to Make String Sorted

Related Topics
MathStringCombinatorics
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Examples

Example 1
INPUT
s = "cba"
OUTPUT
5
EXPLANATION

The simulation goes as follows: Operation 1: i=2, j=2. Swap s[1] and s[2] to get s="cab", then reverse the suffix starting at 2. Now, s="cab". Operation 2: i=1, j=2. Swap s[0] and s[2] to get s="bac", then reverse the suffix starting at 1. Now, s="bca". Operation 3: i=2, j=2. Swap s[1] and s[2] to get s="bac", then reverse the suffix starting at 2. Now, s="bac". Operation 4: i=1, j=1. Swap s[0] and s[1] to get s="abc", then reverse the suffix starting at 1. Now, s="acb". Operation 5: i=2, j=2. Swap s[1] and s[2] to get s="abc", then reverse the suffix starting at 2. Now, s="abc".

Example 2
INPUT
s = "aabaa"
OUTPUT
2
EXPLANATION

The simulation goes as follows: Operation 1: i=3, j=4. Swap s[2] and s[4] to get s="aaaab", then reverse the substring starting at 3. Now, s="aaaba". Operation 2: i=4, j=4. Swap s[3] and s[4] to get s="aaaab", then reverse the substring starting at 4. Now, s="aaaab".

Constraints

1 <= s.length <= 3000
s​​​​​​ consists only of lowercase English letters.

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