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917. Reverse Only Letters

LeetCode article · C++ solution
Website made by wuisabel-gif · Original C++ code by keineahnung2345
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917

This problem looks busy at first, but the accepted solution is built around one steady invariant. For 917. Reverse Only Letters, the solution in this repository is mainly a stack solution.

Guide

What?

Before optimizing anything, pin down what information is still useful after each move. Instead of trying to be clever immediately, read the code as a sequence of questions:

  • What state are we keeping?
  • How do we move from one state to the next?
  • When do we know the answer is already determined?

For this file, the main tools are: stack.

Guide

When?

Reach for this shape when a direct simulation would work logically but waste time revisiting the same information. The accepted code reduces that pressure by storing exactly the information that remains useful later.

The important function names to track are reverseOnlyLetters.

Guide

Why?

The code is doing bookkeeping so your brain does not have to keep the entire search space open at once.

  • The stack stores unfinished context, which is usually the cleanest way to handle nested or monotonic structure.
  • The final return is not magic; it is the invariant after the loops or recursion have finished doing their accounting.

Guide

How?

Walk through the solution in this order:

  1. Start from the smallest reliable state.
  2. Expand one legal move at a time.
  3. Cache, count, or merge information as soon as it becomes settled.
  4. Let the final stored value answer the original question.

The most important competitive-programming habit here is to trust the invariant. Once the invariant is right, the loops become much less scary.

Guide

Complexity

  • Time: O(N), where N is the length of S.
  • Space: O(N).

Guide

C++ Solution

Your submission

The accepted solution

solution.cpp
01/**
02Given a string S, return the "reversed" string where all characters that are not a letter stay in the same place, and all letters reverse their positions.
03
04 
05
06Example 1:
07
08Input: "ab-cd"
09Output: "dc-ba"
10Example 2:
11
12Input: "a-bC-dEf-ghIj"
13Output: "j-Ih-gfE-dCba"
14Example 3:
15
16Input: "Test1ng-Leet=code-Q!"
17Output: "Qedo1ct-eeLg=ntse-T!"
18 
19
20Note:
21
22S.length <= 100
2333 <= S[i].ASCIIcode <= 122 
24S doesn't contain \ or "
25**/
26
27/**
28Approach 2: Reverse Pointer
29Intuition
30
31Write the characters of S one by one. 
32When we encounter a letter, 
33we want to write the next letter that occurs if we iterated through the string backwards.
34
35So we do just that: 
36keep track of a pointer j that iterates through the string backwards.
37When we need to write a letter, we use it.
38**/
39
40/**
41Complexity Analysis
42Time Complexity: O(N), where N is the length of S.
43Space Complexity: O(N). 
44**/
45
46//Runtime: 4 ms, faster than 100.00% of C++ online submissions for Reverse Only Letters.
47//Memory Usage: 9 MB, less than 40.00% of C++ online submissions for Reverse Only Letters.
48class Solution {
49public:
50    string reverseOnlyLetters(string S) {
51        string ans(S.size(),  'a');
52        
53        //fill with non-alpha characters
54        for(int i = 0; i < S.size(); i++){
55            if(!isalpha(S[i])){
56                ans[i] = S[i];
57            }
58        }
59        
60        int j = S.size()-1;
61        for(int i = 0; i < S.size(); i++){
62            if(!isalpha(S[i])){
63                continue;
64            }
65            //the vector is initialized with 'a'!
66            //use while rather than if!
67            //skip all filled position
68            while(!isalpha(ans[j])){
69                j--;
70            }
71            ans[j--] = S[i];
72        }
73        
74        return ans;
75    }
76};
77
78/**
79Approach 1: Stack of Letters
80Intuition and Algorithm
81Collect the letters of S separately into a stack, 
82so that popping the stack reverses the letters. 
83(Alternatively, we could have collected the letters into an array and reversed the array.)
84Then, when writing the characters of S, any time we need a letter, we use the one we have prepared instead.
85**/
86
87/**
88Complexity Analysis
89Time Complexity: O(N), where N is the length of S.
90Space Complexity: O(N). 
91**/
92
93/**
94class Solution {
95public:
96    string reverseOnlyLetters(string S) {
97        string ans;
98        stack<char> letters;
99        
100        for(char c : S){
101            if(isalpha(c)){
102                letters.push(c);
103            }
104        }
105        
106        for(char c : S){
107            if(!isalpha(c)){
108                ans += c;
109            }else{
110                ans += letters.top();
111                letters.pop();
112            }
113        }
114        
115        return ans;
116    }
117};
118**/

Cost

Complexity

Time
O(N), where N is the length of S.
Dominated by the main traversal, recursion, or data-structure operations in the code.
Space
O(N).
Auxiliary state plus the answer structure where the problem requires one.