LeetCode #2114 — EASY

Maximum Number of Words Found in Sentences

Build confidence with an intuition-first walkthrough focused on array fundamentals.

Solve on LeetCode
The Problem

Problem Statement

A sentence is a list of words that are separated by a single space with no leading or trailing spaces.

You are given an array of strings sentences, where each sentences[i] represents a single sentence.

Return the maximum number of words that appear in a single sentence.

Example 1:

Input: sentences = ["alice and bob love leetcode", "i think so too", "this is great thanks very much"]
Output: 6
Explanation: 
- The first sentence, "alice and bob love leetcode", has 5 words in total.
- The second sentence, "i think so too", has 4 words in total.
- The third sentence, "this is great thanks very much", has 6 words in total.
Thus, the maximum number of words in a single sentence comes from the third sentence, which has 6 words.

Example 2:

Input: sentences = ["please wait", "continue to fight", "continue to win"]
Output: 3
Explanation: It is possible that multiple sentences contain the same number of words. 
In this example, the second and third sentences (underlined) have the same number of words.

Constraints:

  • 1 <= sentences.length <= 100
  • 1 <= sentences[i].length <= 100
  • sentences[i] consists only of lowercase English letters and ' ' only.
  • sentences[i] does not have leading or trailing spaces.
  • All the words in sentences[i] are separated by a single space.

Roadmap

  1. Brute Force Baseline
  2. Core Insight
  3. Algorithm Walkthrough
  4. Edge Cases
  5. Full Annotated Code
  6. Interactive Study Demo
  7. Complexity Analysis
Step 01

Brute Force Baseline

Problem summary: A sentence is a list of words that are separated by a single space with no leading or trailing spaces. You are given an array of strings sentences, where each sentences[i] represents a single sentence. Return the maximum number of words that appear in a single sentence.

Baseline thinking

Start with the most direct exhaustive search. That gives a correctness anchor before optimizing.

Pattern signal: Array

Example 1

["alice and bob love leetcode","i think so too","this is great thanks very much"]

Example 2

["please wait","continue to fight","continue to win"]

Related Problems

  • Number of Valid Words in a Sentence (number-of-valid-words-in-a-sentence)
Step 02

Core Insight

What unlocks the optimal approach

  • Process each sentence separately and count the number of words by looking for the number of space characters in the sentence and adding it by 1.
Interview move: turn each hint into an invariant you can check after every iteration/recursion step.
Step 03

Algorithm Walkthrough

Iteration Checklist

  1. Define state (indices, window, stack, map, DP cell, or recursion frame).
  2. Apply one transition step and update the invariant.
  3. Record answer candidate when condition is met.
  4. Continue until all input is consumed.
Use the first example testcase as your mental trace to verify each transition.
Step 04

Edge Cases

Minimum Input
Single element / shortest valid input
Validate boundary behavior before entering the main loop or recursion.
Duplicates & Repeats
Repeated values / repeated states
Decide whether duplicates should be merged, skipped, or counted explicitly.
Extreme Constraints
Upper-end input sizes
Re-check complexity target against constraints to avoid time-limit issues.
Invalid / Corner Shape
Empty collections, zeros, or disconnected structures
Handle special-case structure before the core algorithm path.
Step 05

Full Annotated Code

Source-backed implementations are provided below for direct study and interview prep.

// Accepted solution for LeetCode #2114: Maximum Number of Words Found in Sentences
class Solution {
    public int mostWordsFound(String[] sentences) {
        int ans = 0;
        for (var s : sentences) {
            int cnt = 1;
            for (int i = 0; i < s.length(); ++i) {
                if (s.charAt(i) == ' ') {
                    ++cnt;
                }
            }
            ans = Math.max(ans, cnt);
        }
        return ans;
    }
}
Step 06

Interactive Study Demo

Use this to step through a reusable interview workflow for this problem.

Press Step or Run All to begin.
Step 07

Complexity Analysis

Time
O(n)
Space
O(1)

Approach Breakdown

BRUTE FORCE
O(n²) time
O(1) space

Two nested loops check every pair or subarray. The outer loop fixes a starting point, the inner loop extends or searches. For n elements this gives up to n²/2 operations. No extra space, but the quadratic time is prohibitive for large inputs.

OPTIMIZED
O(n) time
O(1) space

Most array problems have an O(n²) brute force (nested loops) and an O(n) optimal (single pass with clever state tracking). The key is identifying what information to maintain as you scan: a running max, a prefix sum, a hash map of seen values, or two pointers.

Shortcut: If you are using nested loops on an array, there is almost always an O(n) solution. Look for the right auxiliary state.
Coach Notes

Common Mistakes

Review these before coding to avoid predictable interview regressions.

Off-by-one on range boundaries

Wrong move: Loop endpoints miss first/last candidate.

Usually fails on: Fails on minimal arrays and exact-boundary answers.

Fix: Re-derive loops from inclusive/exclusive ranges before coding.