You are given two strings word1
and word2
. You want to construct a string merge
in the following way: while either word1
or word2
are non-empty, choose one of the following options:
- If
word1
is non-empty, append the first character in word1
to merge
and delete it from word1
.- For example, if
word1 = "abc"
and merge = "dv"
, then after choosing this operation, word1 = "bc"
and merge = "dva"
.
- If
word2
is non-empty, append the first character in word2
to merge
and delete it from word2
.- For example, if
word2 = "abc"
and merge = ""
, then after choosing this operation, word2 = "bc"
and merge = "a"
.
Return the lexicographically largest merge
you can construct.
A string a
is lexicographically larger than a string b
(of the same length) if in the first position where a
and b
differ, a
has a character strictly larger than the corresponding character in b
. For example, "abcd"
is lexicographically larger than "abcc"
because the first position they differ is at the fourth character, and d
is greater than c
.
Example 1:
Input: word1 = "cabaa", word2 = "bcaaa"
Output: "cbcabaaaaa"
Explanation: One way to get the lexicographically largest merge is:
- Take from word1: merge = "c", word1 = "abaa", word2 = "bcaaa"
- Take from word2: merge = "cb", word1 = "abaa", word2 = "caaa"
- Take from word2: merge = "cbc", word1 = "abaa", word2 = "aaa"
- Take from word1: merge = "cbca", word1 = "baa", word2 = "aaa"
- Take from word1: merge = "cbcab", word1 = "aa", word2 = "aaa"
- Append the remaining 5 a's from word1 and word2 at the end of merge.
Example 2:
Input: word1 = "abcabc", word2 = "abdcaba"
Output: "abdcabcabcaba"
Constraints:
1 <= word1.length, word2.length <= 3000
word1
and word2
consist only of lowercase English letters.
Solution: Greedy
Always take a single char from the largest word. (NOT just the current char).
E.g.
ans = “”, w1 = “cabba”, w2 = “bcaaa”
w1 > w2, take from w1
ans = “c”, w1 = “abba”, w2 = “bcaaa”
w1 < w2, take from w2
ans = “cb”, w1 = “abba”, w2 = “caaa”
w1 < w2, take from w2
ans = “cbc”, w1 = “abba”, w2 = “aaa”
w1 > w2, take from w1. Note: both start with “a”, but we need to compare the entire word.
ans = “cbca”, w1 = “bba”, w2 = “aaa”
w1 > w2, take from w1
ans = “cbcab”, w1 = “ba”, w2 = “aaa”
…
Time complexity: O(min(m,n)^2)
Space complexity: O(1)
C++
|
// Author: Huahua class Solution { public: string largestMerge(string_view w1, string_view w2) { string ans; int m = w1.length(), n = w2.length(); int i = 0, j = 0; while (i < m && j < n) ans += w1.substr(i) > w2.substr(j) ? w1[i++] : w2[j++]; ans.append(w1.substr(i)); ans.append(w2.substr(j)); return ans; } }; |