[Leetcode] 544. Output Contest Matches 解题报告

题目：

During the NBA playoffs, we always arrange the rather strong team to play with the rather weak team, like make the rank 1 team play with the rank nth team, which is a good strategy to make the contest more interesting. Now, you're given n teams, you need to output their final contest matches in the form of a string.

The n teams are given in the form of positive integers from 1 to n, which represents their initial rank. (Rank 1 is the strongest team and Rank n is the weakest team.) We'll use parentheses('(', ')') and commas(',') to represent the contest team pairing - parentheses('(' , ')') for pairing and commas(',') for partition. During the pairing process in each round, you always need to follow the strategy of making the rather strong one pair with the rather weak one.

Example 1:

Input: 2Output: (1,2)Explanation: Initially, we have the team 1 and the team 2, placed like: 1,2.Then we pair the team (1,2) together with '(', ')' and ',', which is the final answer.

Example 2:

Input: 4Output: ((1,4),(2,3))Explanation: In the first round, we pair the team 1 and 4, the team 2 and 3 together, as we need to make the strong team and weak team together.And we got (1,4),(2,3).In the second round, the winners of (1,4) and (2,3) need to play again to generate the final winner, so you need to add the paratheses outside them.And we got the final answer ((1,4),(2,3)).

Example 3:

Input: 8Output: (((1,8),(4,5)),((2,7),(3,6)))Explanation: First round: (1,8),(2,7),(3,6),(4,5)Second round: ((1,8),(4,5)),((2,7),(3,6))Third round: (((1,8),(4,5)),((2,7),(3,6)))Since the third round will generate the final winner, you need to output the answer (((1,8),(4,5)),((2,7),(3,6))).

Note:

1. The n is in range [2, 212].
2. We ensure that the input n can be converted into the form 2k, where k is a positive integer.

思路：

首先构造一个字符串数组，里面包含“1”，“2”，... "n"。然后不断让第一个元素和最后一个元素进行合并，进而生成新的字符串数组。当字符串数组的大小减小到1的时候，就可以返回了。

代码：

class Solution {public:    string findContestMatch(int n) {        vector<string> s;        for (int i = 1; i <= n; ++i) {            s.push_back(to_string(i));        }        while (s.size() > 1) {            s = merge(s);        }        return s[0];    }private:    vector<string> merge(vector<string> &s) {        vector<string> ret;        for (int i = 0; i < s.size() / 2; ++i) {            ret.push_back('(' + s[i] + ',' + s[s.size() - 1 - i] + ')');        }        return ret;    }};