阿里巴巴专场——第322场周赛题解

目录

模拟法:6253.回环句

排序后模拟:6254. 划分技能点相等的团队

BFS:6255. 两个城市间路径的最小分数

BFS:6256. 将节点分成尽可能多的组


模拟法:6253.回环句

这道题直接按照题目的意思暴力模拟即可:

class Solution {
public:
    bool isCircularSentence(string sentence) {
        if  (sentence[0] != sentence[sentence.size() - 1]) {
            return false;
        }
        for (int i = 0; i < sentence.size(); i++) {
            if (sentence[i] == ' ') {
                if (sentence[i - 1] != sentence[i + 1]) {
                    return false;
                }
            }
        }
        return true;
    }
};

排序后模拟:6254. 划分技能点相等的团队

先排序后,判断第i个和第n-i个加起来的和是否相等,如果不相等,直接返回-1结束。然后把这些加和,返回结果即可。

class Solution {
public:
    long long dividePlayers(vector<int>& skill) {
        sort(skill.begin(), skill.end());
        long long ans = 0;
        long long temp = skill[0] + skill[skill.size() - 1];
        for (int i = 0; i < skill.size() / 2; i++) {
            if (skill[i] + skill[skill.size() - i - 1] != temp) {
                return -1;
            } else {
                ans += skill[i] * skill[skill.size() - i - 1];
            }
        }
        return ans;
    }
};

BFS:6255. 两个城市间路径的最小分数

class Solution {
public:
    int minScore(int n, vector<vector<int>>& roads) {
        vector<vector<pair<int, int>>> arr(n);
        for (const auto& r : roads) {
            int u = r[0] - 1, v = r[1] - 1, d = r[2];
            arr[u].emplace_back(v, d);
            arr[v].emplace_back(u, d);
        }
        int ret = INT_MAX;
        vector<int> visit(n);
        queue<int> q;
        q.push(0);
        while (!q.empty()) {
            int f = q.front();
            q.pop();
            if (visit[f] != 0) {
                continue;
            }
            visit[f] = 1;
            for (auto [next, d] : arr[f]) {
                q.push(next);
                ret = min(ret, d);
            }
        }
        return ret;
    }
};

BFS:6256. 将节点分成尽可能多的组

 贴一个大佬的回答吧:

class Solution {
public:
    int magnificentSets(int n, vector<vector<int>> &edges) {
        vector<vector<int>> g(n);
        for (auto &e : edges) {
            int x = e[0] - 1, y = e[1] - 1;
            g[x].push_back(y);
            g[y].push_back(x);
        }

        int time[n], clock = 0; // time 充当 vis 数组的作用(避免在 BFS 内部重复创建 vis 数组)
        memset(time, 0, sizeof(time));
        auto bfs = [&](int start) -> int { // 返回从 start 出发的最大深度
            int depth = 0;
            time[start] = ++clock;
            vector<int> q = {start};
            while (!q.empty()) {
                vector<int> nxt;
                for (int x : q)
                    for (int y : g[x])
                        if (time[y] != clock) { // 没有在同一次 BFS 中访问过
                            time[y] = clock;
                            nxt.push_back(y);
                        }
                q = move(nxt);
                ++depth;
            }
            return depth;
        };

        int8_t color[n]; memset(color, 0, sizeof(color));
        vector<int> nodes;
        function<bool(int, int8_t)> is_bipartite = [&](int x, int8_t c) -> bool { // 二分图判定,原理见视频讲解
            nodes.push_back(x);
            color[x] = c;
            for (int y : g[x])
                if (color[y] == c || color[y] == 0 && !is_bipartite(y, -c))
                    return false;
            return true;
        };

        int ans = 0;
        for (int i = 0; i < n; ++i) {
            if (color[i]) continue;
            nodes.clear();
            if (!is_bipartite(i, 1)) return -1; // 如果不是二分图(有奇环),则无法分组
            // 否则一定可以分组
            int max_depth = 0;
            for (int x : nodes) // 枚举连通块的每个点,作为起点 BFS,求最大深度
                max_depth = max(max_depth, bfs(x));
            ans += max_depth;
        }
        return ans;
    }
};

https://leetcode.cn/problems/divide-nodes-into-the-maximum-number-of-groups/solution/mei-ju-qi-dian-pao-bfs-by-endlesscheng-s5bu/

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