|
| 1 | +--- |
| 2 | +id: text-justification |
| 3 | +title: Text Justification |
| 4 | +sidebar_label: 0068. Text Justification |
| 5 | +tags: |
| 6 | + - String |
| 7 | + - Greedy |
| 8 | +description: Solution to Leetcode 68 Text Justification |
| 9 | +--- |
| 10 | + |
| 11 | +## Problem Description |
| 12 | + |
| 13 | +Given an array of strings `words` and a width `maxWidth`, format the text such that each line has exactly `maxWidth` characters and is fully (left and right) justified. |
| 14 | + |
| 15 | +You should pack your words in a greedy approach; that is, pack as many words as you can in each line. Pad extra spaces `' '` when necessary so that each line has exactly `maxWidth` characters. |
| 16 | + |
| 17 | +Extra spaces between words should be distributed as evenly as possible. If the number of spaces on a line does not divide evenly between words, the empty slots on the left will be assigned more spaces than the slots on the right. |
| 18 | + |
| 19 | +For the last line of text, it should be left-justified, and no extra space is inserted between words. |
| 20 | + |
| 21 | +**Note:** |
| 22 | + |
| 23 | +- A word is defined as a character sequence consisting of non-space characters only. |
| 24 | +- Each word's length is guaranteed to be greater than 0 and not exceed `maxWidth`. |
| 25 | +- The input array `words` contains at least one word. |
| 26 | + |
| 27 | +### Examples |
| 28 | + |
| 29 | +**Example 1:** |
| 30 | + |
| 31 | +``` |
| 32 | +Input: words = ["This", "is", "an", "example", "of", "text", "justification."], maxWidth = 16 |
| 33 | +Output: |
| 34 | +[ |
| 35 | + "This is an", |
| 36 | + "example of text", |
| 37 | + "justification. " |
| 38 | +] |
| 39 | +``` |
| 40 | + |
| 41 | +**Example 2:** |
| 42 | + |
| 43 | +``` |
| 44 | +Input: words = ["What","must","be","acknowledgment","shall","be"], maxWidth = 16 |
| 45 | +Output: |
| 46 | +[ |
| 47 | + "What must be", |
| 48 | + "acknowledgment ", |
| 49 | + "shall be " |
| 50 | +] |
| 51 | +Explanation: Note that the last line is "shall be " instead of "shall be", because the last line must be left-justified instead of fully-justified. |
| 52 | +Note that the second line is also left-justified because it contains only one word. |
| 53 | +``` |
| 54 | + |
| 55 | +**Example 3:** |
| 56 | + |
| 57 | +``` |
| 58 | +Input: words = ["Science","is","what","we","understand","well","enough","to","explain","to","a","computer.","Art","is","everything","else","we","do"], maxWidth = 20 |
| 59 | +Output: |
| 60 | +[ |
| 61 | + "Science is what we", |
| 62 | + "understand well", |
| 63 | + "enough to explain to", |
| 64 | + "a computer. Art is", |
| 65 | + "everything else we", |
| 66 | + "do " |
| 67 | +] |
| 68 | +``` |
| 69 | + |
| 70 | +### Constraints |
| 71 | + |
| 72 | +- 1 <= words.length <= 300 |
| 73 | +- 1 <= words[i].length <= 20 |
| 74 | +- words[i] consists of only English letters and symbols. |
| 75 | +- 1 <= maxWidth <= 100 |
| 76 | +- words[i].length <= maxWidth |
| 77 | + |
| 78 | +### Approach |
| 79 | + |
| 80 | +1. Traverse through the words and group them into lines such that the total length of words in each line does not exceed `maxWidth`. |
| 81 | +2. Distribute the extra spaces evenly among the words in each line. |
| 82 | +3. For the last line, left-justify the text without adding extra spaces between the words. |
| 83 | + |
| 84 | +### Complexity |
| 85 | + |
| 86 | +- Time complexity: $O(n)$, where n is the number of words. |
| 87 | +- Space complexity: $O(n)$, where n is the number of words. |
| 88 | + |
| 89 | +### Solution |
| 90 | + |
| 91 | +#### Code in Different Languages |
| 92 | + |
| 93 | +#### Python |
| 94 | + |
| 95 | +```python |
| 96 | +class Solution: |
| 97 | + def fullJustify(self, words: list[str], maxWidth: int) -> list[str]: |
| 98 | + result, current, num_of_letters = [], [], 0 |
| 99 | + |
| 100 | + for word in words: |
| 101 | + if num_of_letters + len(word) + len(current) > maxWidth: |
| 102 | + for i in range(maxWidth - num_of_letters): |
| 103 | + current[i % (len(current) - 1 or 1)] += ' ' |
| 104 | + result.append(''.join(current)) |
| 105 | + current, num_of_letters = [], 0 |
| 106 | + current += [word] |
| 107 | + num_of_letters += len(word) |
| 108 | + |
| 109 | + result.append(' '.join(current).ljust(maxWidth)) |
| 110 | + return result |
| 111 | + |
| 112 | +# Example usage: |
| 113 | +words = ["This", "is", "an", "example", "of", "text", "justification."] |
| 114 | +maxWidth = 16 |
| 115 | +solution = Solution() |
| 116 | +print(solution.fullJustify(words, maxWidth)) |
| 117 | +``` |
| 118 | + |
| 119 | +#### C++ |
| 120 | + |
| 121 | +```cpp |
| 122 | +#include <vector> |
| 123 | +#include <string> |
| 124 | + |
| 125 | +using namespace std; |
| 126 | + |
| 127 | +class Solution { |
| 128 | +public: |
| 129 | + vector<string> fullJustify(vector<string>& words, int maxWidth) { |
| 130 | + vector<string> result, current; |
| 131 | + int num_of_letters = 0; |
| 132 | + |
| 133 | + for (const string& word : words) { |
| 134 | + if (num_of_letters + word.size() + current.size() > maxWidth) { |
| 135 | + for (int i = 0; i < maxWidth - num_of_letters; ++i) { |
| 136 | + current[i % (current.size() - 1 ? current.size() - 1 : 1)] += ' '; |
| 137 | + } |
| 138 | + string line; |
| 139 | + for (const string& w : current) { |
| 140 | + line += w; |
| 141 | + } |
| 142 | + result.push_back(line); |
| 143 | + current.clear(); |
| 144 | + num_of_letters = 0; |
| 145 | + } |
| 146 | + current.push_back(word); |
| 147 | + num_of_letters += word.size(); |
| 148 | + } |
| 149 | + string last_line; |
| 150 | + for (const string& word : current) { |
| 151 | + if (!last_line.empty()) last_line += ' '; |
| 152 | + last_line += word; |
| 153 | + } |
| 154 | + last_line += string(maxWidth - last_line.size(), ' '); |
| 155 | + result.push_back(last_line); |
| 156 | + |
| 157 | + return result; |
| 158 | + } |
| 159 | +}; |
| 160 | + |
| 161 | +// Example usage: |
| 162 | +int main() { |
| 163 | + Solution solution; |
| 164 | + vector<string> words = {"This", "is", "an", "example", "of", "text", "justification."}; |
| 165 | + int maxWidth = 16; |
| 166 | + vector<string> justified_text = solution.fullJustify(words, maxWidth); |
| 167 | + for (const string& line : justified_text) { |
| 168 | + printf("\"%s\"\n", line.c_str()); |
| 169 | + } |
| 170 | + return 0; |
| 171 | +} |
| 172 | +``` |
| 173 | + |
| 174 | +#### Java |
| 175 | + |
| 176 | +```java |
| 177 | +import java.util.ArrayList; |
| 178 | +import java.util.List; |
| 179 | + |
| 180 | +class Solution { |
| 181 | + public List<String> fullJustify(String[] words, int maxWidth) { |
| 182 | + List<String> result = new ArrayList<>(); |
| 183 | + List<String> current = new ArrayList<>(); |
| 184 | + int num_of_letters = 0; |
| 185 | + |
| 186 | + for (String word : words) { |
| 187 | + if (num_of_letters + word.length() + current.size() > maxWidth) { |
| 188 | + for (int i = 0; i < maxWidth - num_of_letters; ++i) { |
| 189 | + current.set(i % (current.size() - 1 == 0 ? 1 : current.size() - 1), current.get(i % (current.size() - 1 == 0 ? 1 : current.size() - 1)) + " "); |
| 190 | + } |
| 191 | + result.add(String.join("", current)); |
| 192 | + current.clear(); |
| 193 | + num_of_letters = 0; |
| 194 | + } |
| 195 | + current.add(word); |
| 196 | + num_of_letters += word.length(); |
| 197 | + } |
| 198 | + result.add(String.join(" ", current) + " ".repeat(maxWidth - num_of_letters - (current.size() - 1))); |
| 199 | + return result; |
| 200 | + } |
| 201 | + |
| 202 | + // Example usage |
| 203 | + public static void main(String[] args) { |
| 204 | + Solution solution = new Solution(); |
| 205 | + String[] words = {"This", "is", "an", "example", "of", "text", "justification."}; |
| 206 | + int maxWidth = 16; |
| 207 | + List<String> justified_text = solution.fullJustify(words, maxWidth); |
| 208 | + for (String line : justified_text) { |
| 209 | + System.out.println("\"" + line + "\""); |
| 210 | + } |
| 211 | + } |
| 212 | +} |
| 213 | +``` |
| 214 | + |
| 215 | +### Complexity Analysis |
| 216 | + |
| 217 | +- Time Complexity: $O(n)$, where n is the number of words. |
| 218 | +- Space Complexity: $O(n)$, where n is the number of words. |
| 219 | + |
| 220 | +### References |
| 221 | + |
| 222 | +- **LeetCode Problem**: Text Justification |
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